SmallDoge/stable_dataset_processed · Datasets at Hugging Face

input_ids sequencelengths 1 2.05k	attention_mask sequencelengths 1 2.05k
[ 4477, 23992, 267, 10656, 2447, 1235, 543, 13500, 971, 607, 670, 9007, 4425, 518, 3873, 1511, 543, 7603, 727, 717, 879, 321, 6594, 741, 2550, 685, 1973, 267, 5144, 543, 10729, 269, 3245, 519, 2038, 22733, 2540, 27477, 267, 2564, 1053, 538, 2274, 16582, 543, 824, 10656, 9945, 5051, 4294, 3114, 2409, 547, 15629, 12862, 547, 1451, 1018, 519, 1560, 15538, 540, 269, 5822, 267, 594, 786, 8044, 602, 3114, 18362, 540, 15629, 12862, 5337, 1243, 1007, 2093, 543, 6436, 827, 519, 1560, 269, 23317, 1185, 6045, 519, 10009, 540, 519, 1973, 269, 634, 30243, 1637, 540, 1973, 267, 676, 4334, 267, 729, 513, 7613, 602, 1223, 1152, 581, 8947, 26947, 269, 4425, 518, 3873, 1511, 6069, 519, 6228, 540, 4105, 4229, 267, 1317, 519, 1184, 3238, 12007, 2242, 538, 3742, 267, 2713, 2339, 269, 769, 2040, 267, 1445, 28410, 593, 1007, 3114, 4603, 725, 693, 10656, 2564, 31399, 625, 786, 1683, 513, 1007, 5133, 593, 22733, 10601, 17550, 543, 21454, 563, 347, 26397, 4567, 1475, 13775, 910, 476, 3066, 11219, 592, 268, 1001, 276, 2008, 347, 30631, 1475, 1691, 628, 4139, 6837, 585, 20640, 7570, 31588, 1722, 5525, 630, 3041, 4488, 306, 476, 1001, 276, 264, 910, 661, 6652, 16443, 2160, 267, 15585, 614, 17043, 267, 13814, 2008, 291, 4851, 281, 476, 2767, 11219, 592, 268, 1001, 276, 9890, 476, 4029, 11219, 592, 268, 1001, 276, 454, 347, 3519, 12401, 1475, 1691, 628, 4139, 6837, 585, 20640, 7570, 31588, 1722, 5525, 630, 3041, 4488, 306, 476, 1001, 276, 10245, 347, 20540, 1475, 2767, 270, 5881, 270, 1001, 276, 9890, 476, 4029, 270, 5881, 270, 1001, 276, 2008, 1691, 628, 4139, 6837, 585, 20640, 7570, 31588, 1722, 5525, 630, 3041, 4488, 306, 476, 1001, 276, 994, 2767, 270, 5881, 270, 1001, 276, 9890, 476, 4029, 270, 5881, 270, 1001, 276, 305, 582, 614, 17043, 267, 13814, 0, 763, 8668, 2872, 568, 9750, 1142, 1554, 543, 865, 568, 519, 991, 585, 7384, 543, 4859, 2200, 269, 6987, 2400, 9424, 540, 1239, 616, 6383, 543, 22121, 936, 519, 4950, 799, 2417, 14122, 519, 991, 585, 811, 7384, 2200, 269, 20871, 267, 547, 1732, 31194, 741, 5092, 267, 616, 22745, 741, 5989, 547, 16012, 5691, 1436, 4066, 899, 6531, 7384, 269, 13192, 4066, 948, 15407, 519, 5383, 540, 7384, 2200, 799, 616, 3838, 936, 513, 5691, 1242, 1604, 269, 901, 6770, 721, 547, 519, 1523, 540, 4452, 13326, 538, 519, 6531, 563, 7312, 3896, 610, 513, 1357, 3498, 666, 581, 15600, 676, 1896, 3755, 693, 1022, 1448, 538, 942, 269, 898, 3587, 4101, 585, 707, 1357, 3498, 547, 4383, 782, 891, 3593, 13668, 693, 835, 942, 269, 898, 949, 1256, 1267, 538, 1062, 2736, 23957, 269, 1280, 513, 3896, 8227, 267, 4171, 3003, 960, 568, 8200, 593, 1010, 17017, 22045, 267, 519, 4743, 540, 519, 3896, 1373, 1524, 610, 711, 3015, 6770, 4503, 1761, 5561, 269, 3371, 267, 19301, 291, 298, 29651, 779, 6531, 4452, 13326, 2533, 1404, 606, 1271, 1909, 563, 30208, 20509, 13326, 568, 519, 1184, 540, 782, 20814, 24913, 543, 7384, 2200, 936, 835, 610, 811, 13763, 269, 901, 2186, 540, 14305, 5849, 5021, 998, 1584, 538, 5934, 3210, 942, 269, 634, 24913, 568, 9674, 10838, 1079, 610, 811, 13763, 267, 3060, 17103, 267, 2182, 11479, 610, 824, 7384, 2200, 267, 3976, 7175, 5488, 1062, 3210, 942, 543, 1732, 13345, 540, 2200, 269, 4935, 267, 952, 707, 3896, 568, 8391, 1164, 6808, 267, 2500, 946, 540, 6531, 4452, 13326, 666, 2327, 1870, 15364, 269, 634, 1455, 6859, 540, 1210, 4452, 2545, 19188, 616, 912, 14611, 1555, 1062, 6109, 1145, 563, 18719, 557, 1062, 2773, 563, 28406, 1996, 1062, 14286, 563, 17928, 291, 298, 29651, 2488, 922, 7218, 609, 589, 16703, 779, 4432, 2880, 20509, 7195, 22083, 263, 5085, 289, 264, 3028, 799, 568, 513, 3483, 32472, 3028, 585, 26084, 24913, 338, 269, 634, 4452, 2545, 22083, 538, 589, 16703, 4679, 519, 13337, 6043, 543, 8244, 540, 606, 3498, 269, 589, 16703, 20700, 289, 568, 519, 2582, 1448, 540, 3346, 547, 782, 519, 7218, 267, 621, 666, 581, 2366, 547, 519, 14191, 13664, 3236, 610, 519, 3236, 609, 519, 2547, 26125, 269, 4746, 267, 621, 2733, 2373, 707, 24913, 338, 2066, 1896, 2200, 267, 971, 607, 513, 14044, 18218, 610, 14044, 10724, 269, 634, 3156, 3111, 1478, 543, 8244, 786, 6175, 1813, 547, 713, 269, 634, 4452, 2545, 22083, 666, 849, 1491, 1416, 540, 707, 14238, 543, 1232, 11736, 543, 1577, 707, 12337, 2533, 798, 519, 1898, 960, 563, 1692, 1281, 589, 16703, 4432, 2880, 20509, 21344, 960, 888, 763, 2324, 6240, 540, 519, 589, 16703, 20700, 289, 568, 602, 621, 24693, 19670, 6808, 689, 922, 7218, 543, 2663, 11507, 1346, 13668, 547, 519, 9072, 799, 519, 7817, 6499, 269, 1403, 621, 9060, 606, 14432, 3077, 267, 1287, 621, 786, 3247, 28570, 532, 519, 3755, 972, 543, 1287, 7575, 609, 519, 824, 2635, 9072, 267, 2394, 602, 3077, 568, 10294, 2635, 269, 1677, 1118, 606, 20700, 289, 3398, 19670, 6808, 267, 596, 723, 547, 19022, 621, 676, 28408, 835, 610, 811, 19700, 269, 589, 26575, 568, 513, 1184, 799, 11974, 585, 4276, 13668, 563, 13510, 22355, 10851, 1700, 1411, 666, 5512, 2997, 22355, 2098, 2158, 585, 707, 589, 16703, 4452, 2545, 22083, 267, 676, 3257, 713, 513, 4452, 2545, 22083, 6843, 568, 2813, 538, 602, 2997, 22355, 18630, 269, 2037, 762, 2789, 2997, 22355, 2098, 2158, 543, 849, 1118, 2386, 602, 972, 568, 693, 2547, 835, 10805, 3077, 267, 971, 602, 519, 4452, 2545, 22083, 11507, 6808, 972, 269, 2290, 811, 5413, 540, 2348, 2789, 589, 313, 338, 568, 602, 9072, 786, 1450, 519, 4452, 2545, 22083, 547, 8905, 6808, 547, 824, 9072, 950, 1906, 9072, 3111, 563, 26794, 540, 589, 16703, 4432, 2880, 20509, 21344, 454, 11947, 7900, 3156, 454, 17928, 291, 298, 29651, 2488, 519, 11684, 589, 16703, 20700, 289, 3028, 267, 799, 7429, 824, 2757, 13413, 267, 568, 2241, 543, 1447, 7199, 547, 2936, 269, 898, 666, 1118, 707, 3498, 960, 5488, 543, 5838, 1732, 12644, 267, 693, 2539, 3790, 563, 763, 589, 16703, 20700, 289, 666, 6023, 6727, 26389, 538, 6808, 543, 666, 849, 6023, 6634, 540, 13668, 693, 513, 942, 269, 24269, 972, 568, 606, 2333, 538, 6808, 267, 519, 10081, 27214, 2718, 4183, 568, 13087, 543, 849, 4452, 13326, 3652, 568, 1031, 547, 1683, 519, 3755, 609, 606, 15774, 2773, 269, 634, 20700, 289, 3217, 519, 948, 540, 519, 6531, 779, 22231, 543, 25382, 547, 2226, 3896, 6808, 563, 288, 16703, 20700, 289, 2733, 2373, 6808, 1851, 782, 519, 9072, 14961, 267, 585, 1383, 267, 1896, 10566, 273, 263, 14976, 2880, 30770, 264, 8320, 269, 4746, 267, 20700, 289, 814, 606, 590, 6369, 540, 476, 4200, 269, 4200, 10065, 3143, 2339, 875, 1804, 519, 7662, 568, 267, 621, 666, 581, 4922, 7856, 1851, 1114, 13763, 585, 10451, 5021, 2164, 538, 5934, 3210, 942, 563, 19968, 15364, 609, 2347, 8112, 454, 763, 6662, 540, 1210, 513, 4452, 2545, 22083, 568, 547, 2149, 513, 3896, 689, 6727, 856, 1137, 269, 1879, 24913, 568, 7856, 1851, 1585, 13763, 610, 3060, 4559, 267, 1256, 952, 835, 6843, 14543, 267, 519, 11411, 666, 581, 17146, 547, 1776, 3742, 6843, 269, 20700, 289, 13071, 596, 8905, 6808, 609, 519, 3498, 779, 7379, 2232, 267, 713, 2636, 596, 547, 10131, 2789, 3156, 538, 513, 2582, 3236, 563, 20812, 8455, 4452, 13326, 454, 2791, 666, 946, 519, 1482, 20700, 289, 547, 3666, 2066, 782, 3156, 593, 707, 593, 1790, 8145, 2478, 14764, 543, 707, 589, 16703, 5989, 269, 901, 2306, 621, 1360, 2653, 547, 22109, 707, 3498, 689, 593, 1790, 8145, 1047, 547, 589, 16703, 6531, 563, 5085, 289, 1568, 609, 8835, 14044, 17721, 13192, 630, 309, 15425, 264, 547, 1683, 7347, 3354, 2934, 267, 1519, 7471, 9399, 299, 20081, 11862, 1232, 11736, 267, 15149, 2359, 267, 543, 3593, 22052, 5782, 1709, 269, 8625, 267, 621, 2488, 596, 609, 519, 8112, 547, 4383, 570, 11862, 5468, 31344, 958, 543, 1055, 2903, 17765, 14021, 24913, 338, 689, 707, 3156, 563, 21659, 755, 5464, 1299, 2912, 1746, 454, 5085, 289, 2636, 596, 547, 6895, 707, 3156, 543, 741, 2773, 538, 1483, 6066, 609, 589, 16703, 13192, 19400, 19883, 267, 14573, 543, 7662, 16439, 269, 901, 10607, 519, 15287, 883, 519, 7180, 540, 707, 3156, 267, 7114, 2773, 4420, 6352, 1815, 802, 543, 26500, 2152, 538, 707, 3498, 10518, 585, 606, 1367, 7662, 563, 3383, 267, 1759, 593, 519, 2324, 540, 519, 589, 16703, 4432, 2880, 20509, 7195, 22083, 267, 649, 666, 4063, 2789, 2640, 269, 634, 19466, 1373, 3354, 267, 609, 519, 9744, 540, 3875, 3354, 2934, 538, 4452, 2545, 19188, 593, 589, 16703, 269, 4746, 267, 519, 13412, 4452, 13326, 7207, 5849, 13916, 547, 4028, 15088, 538, 519, 3060, 6808, 3270, 269, 5015, 267, 2620, 5610, 609, 16790, 2480, 2718, 2337, 538, 4570, 908, 8101, 3498, 4390, 585, 5466, 1114, 2157, 540, 3498, 4452, 1510, 1022, 8261, 6304, 269, 4400, 8244, 543, 8112, 616, 849, 930, 540, 519, 8037, 5383, 538, 519, 2013, 540, 13412, 4452, 13326, 269, 4935, 267, 609, 2799, 25382, 267, 21336, 3599, 543, 824, 2934, 540, 589, 16703, 20700, 289, 7270, 543, 1357, 3498, 6808, 666, 3362, 581, 17411, 269, 901, 2306, 519, 589, 16703, 20700, 289, 3028, 3177, 676, 19301, 291, 298, 29651, 513, 835, 540, 513, 2186, 563, 2252, 707, 3919, 8255, 1164, 13652, 1553, 7270, 610, 12240, 602, 4309, 513, 2603, 540, 14511, 267, 19301, 291, 298, 29651, 779, 13412, 4452, 13326, 3028, 20205, 2789, 5383, 676, 17306, 4199, 946, 267, 3210, 942, 543, 1239, 6765, 269, 769, 1164, 13652, 1553, 5054, 267, 13412, 4452, 13326, 568, 1018, 2306, 3593, 13668, 979, 12347, 543, 8308, 269, 898, 838, 4100, 3755, 519, 17140, 540, 21389, 836, 1782, 609, 796, 22529, 633, 3156, 543, 2200, 269, 898, 2337, 8668, 13623, 2327, 25382, 543, 8244, 540, 2533, 269, 4706, 4434, 543, 2189, 6808, 2359, 10342, 666, 948, 513, 1870, 6023, 13668, 811, 7561, 543, 547, 519, 2953, 2200, 585, 1142, 1439, 268, 12528, 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 ]
[ 268, 11957, 540, 5904, 538, 2486, 1344, 2029, 1557, 269, 1913, 621, 568, 849, 513, 3095, 547, 3095, 1239, 1472, 519, 1158, 538, 513, 2110, 942, 269, 585, 519, 4610, 540, 563, 14112, 1557, 593, 2956, 540, 2780, 538, 938, 1272, 267, 6316, 14895, 763, 2956, 540, 2029, 538, 938, 3232, 1272, 1344, 2029, 1557, 4358, 689, 5904, 547, 5329, 3514, 267, 649, 2154, 2029, 693, 1169, 1900, 269, 2413, 2029, 814, 1831, 971, 606, 1271, 851, 540, 938, 2729, 602, 1510, 621, 269, 17824, 26641, 2029, 568, 513, 2110, 24365, 12616, 10618, 2029, 547, 269, 23675, 10530, 910, 2634, 344, 638, 1774, 13625, 1871, 2780, 2069, 2221, 267, 1557, 593, 2956, 540, 2780, 2069, 267, 3946, 593, 1514, 2090, 3446, 476, 274, 2110, 1557, 593, 2780, 2069, 269, 11957, 540, 2780, 2090, 267, 1557, 3732, 14112, 1557, 593, 2780, 2956, 540, 513, 2780, 269, 5904, 723, 1500, 513, 2603, 540, 1568, 2653, 607, 5892, 1004, 1185, 547, 1118, 741, 1870, 6589, 593, 2168, 13746, 267, 855, 1631, 1585, 8051, 3301, 568, 2139, 1813, 547, 799, 835, 666, 3362, 5965, 1870, 6589, 563, 27735, 540, 5904, 910, 5904, 2956, 538, 938, 2729, 13625, 593, 2780, 2110, 1557, 593, 2780, 2780, 1557, 875, 547, 2328, 513, 2956, 540, 2780, 2069, 1557, 1557, 1557, 593, 2956, 1909, 540, 269, 8950, 1702, 1557, 910, 1913, 910, 6505, 330, 924, 2304, 1271, 946, 540, 5904, 693, 1753, 568, 4730, 3756, 269, 1447, 942, 2921, 5904, 666, 798, 620, 582, 538, 2110, 942, 1247, 602, 4305, 666, 1491, 620, 582, 540, 942, 1247, 3257, 269, 9293, 2110, 1557, 593, 519, 2780, 1103, 519, 1699, 1158, 267, 922, 3592, 7543, 547, 4952, 602, 2576, 666, 2661, 1510, 5904, 269, 789, 723, 1831, 606, 5907, 3926, 540, 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 ]
[ 31271, 480, 7511, 420, 488, 480, 30536, 12486, 13644, 371, 10429, 486, 417, 375, 374, 21550, 495, 18263, 489, 12571, 492, 8147, 418, 490, 487, 419, 483, 356, 10429, 486, 31365, 421, 479, 491, 31308, 484, 27447, 24731, 10429, 357, 421, 481, 357, 420, 488, 480, 30536, 7511, 7407, 25707, 258, 22614, 358, 374, 14756, 497, 30536, 14085, 21251, 17958, 27447, 24731, 12486, 692, 258, 476, 7987, 494, 27447, 24662, 25051, 351, 19764, 493, 7987, 495, 454, 258, 476, 12571, 490, 31968, 30903, 502, 8147, 418, 490, 487, 419, 483, 356, 31271, 480, 418, 361, 350, 421, 479, 491, 31308, 484, 11590, 490, 9463, 487, 21550, 495, 7511, 10429, 357, 421, 481, 357, 420, 488, 480, 30536, 8147, 419, 358, 374, 21550, 376, 26166, 421, 504, 498, 12486, 692, 258, 476, 7987, 494, 27447, 24731, 25051, 351, 19764, 493, 7987, 495, 454, 258, 476, 10429, 486, 31365, 421, 479, 491, 31308, 484, 7511, 11590, 490, 9463, 487, 21550, 495, 420, 488, 480, 30536, 8147, 419, 358, 374, 21550, 376, 26166, 421, 504, 498, 12486, 692, 258, 476, 7987, 494, 21550, 371, 28032, 489, 27447, 24662, 7987, 495, 454, 258, 476, 272, 7183, 476, 274, 7183, 7183, 476, 275, 476, 276, 7183, 7183, 7183, 7183, 476, 277, 476, 278, 476, 279, 476, 280, 692, 258, 476, 7987, 494, 21550, 371, 28032, 489, 27447, 24731, 7987, 495, 454, 258, 476, 272, 476, 274, 476, 275, 476, 277, 476, 278, 476, 276, 476, 279, 476, 280, 692, 258, 476, 7987, 494, 21550, 371, 28032, 489, 13644, 368, 13107, 492, 7987, 495, 454, 258, 476, 30244, 18021, 498, 13644, 354, 23523, 486, 28997, 478, 22287, 499, 12571, 356, 8147, 419, 503, 377, 20881, 479, 26166, 692, 5035, 19219, 10031, 825, 1219, 6449, 8181, 9191, 1345, 267, 1239, 22561, 267, 2451, 22561, 267, 1318, 22561, 2187, 1038, 1582, 21606, 815, 1239, 454, 1038, 1582, 16000, 815, 2451, 454, 1038, 1582, 16192, 815, 1318, 7531, 3698, 3403, 4671, 872, 27316, 8217, 2187, 825, 15981, 3403, 519, 1239, 676, 519, 4494, 267, 1118, 513, 3529, 267, 519, 3597, 568, 6740, 538, 6843, 8217, 314, 271, 316, 18257, 692, 825, 3403, 8217, 815, 3403, 14061, 20889, 4590, 825, 561, 815, 7003, 9272, 8217, 994, 825, 6843, 8217, 6910, 263, 11966, 9272, 8217, 314, 271, 28413, 825, 585, 1775, 538, 2039, 263, 272, 267, 561, 2187, 1038, 6843, 815, 19219, 9272, 8217, 5157, 7481, 1038, 6843, 8217, 6910, 27316, 994, 1038, 952, 1775, 4939, 476, 273, 2652, 476, 272, 912, 2018, 737, 815, 630, 328, 268, 272, 264, 2260, 273, 454, 2018, 6843, 8217, 25208, 4940, 3847, 815, 6843, 454, 1038, 3116, 912, 2018, 737, 815, 630, 328, 268, 273, 264, 2260, 273, 454, 2018, 6843, 8217, 25208, 4940, 2431, 815, 6843, 7531, 3698, 21986, 531, 27316, 2187, 825, 8173, 825, 667, 28384, 454, 825, 8173, 825, 952, 6843, 2652, 7183, 912, 1038, 2132, 454, 825, 8640, 6843, 21606, 2652, 834, 14085, 13426, 1038, 2132, 454, 825, 3116, 912, 1038, 1820, 27316, 21606, 267, 1439, 8782, 30386, 825, 21986, 531, 27316, 16000, 994, 825, 21986, 531, 27316, 16192, 9239, 27161, 8217, 815, 11713, 6358, 4671, 872, 27316, 8217, 994, 10177, 951, 531, 27316, 8217, 314, 271, 7481, 0, 258, 476, 7987, 494, 25426, 362, 30903, 502, 418, 493, 493, 13213, 364, 7987, 495, 14756, 503, 24731, 13601, 418, 362, 369, 21251, 25335, 482, 420, 490, 481, 7511, 420, 489, 365, 24757, 8147, 9463, 359, 25060, 483, 12571, 360, 21211, 30006, 491, 18998, 419, 358, 374, 21550, 376, 2108, 9232, 18998, 20881, 501, 9463, 371, 2108, 2223, 18998, 9463, 354, 9463, 371, 2108, 1848, 8147, 30006, 493, 14748, 9463, 354, 31878, 23284, 9463, 354, 9463, 371, 2108, 1848, 14756, 497, 16533, 378, 12486, 28884, 418, 365, 480, 420, 364, 481, 10533, 368, 19867, 478, 20069, 420, 489, 365, 24757, 21211, 30006, 491, 7511, 27962, 16533, 493, 19540, 503, 8147, 12916, 379, 10429, 370, 418, 375, 350, 420, 370, 367, 25335, 482, 420, 490, 481, 16088, 30006, 493, 14748, 9463, 354, 31878, 421, 355, 500, 21211, 30006, 491, 27962, 19540, 503, 8147, 21211, 30006, 491, 296, 22287, 499, 419, 489, 361, 19540, 503, 24731, 28793, 27818, 4970, 353, 28032, 356, 417, 507, 485, 20992, 419, 358, 374, 21550, 376, 16043, 500, 21550, 485, 30536, 24724, 27962, 19540, 503, 8147, 10429, 370, 12916, 503, 21211, 30006, 491, 10429, 357, 421, 481, 357, 16533, 493, 19540, 503, 12486, 692, 258, 476, 7987, 494, 27447, 24662, 25051, 351, 19764, 493, 7987, 495, 27447, 24662, 12255, 29004, 362, 10429, 365, 13601, 27310, 8147, 476, 20992, 23523, 483, 420, 377, 361, 29004, 351, 7511, 420, 489, 365, 24757, 8147, 421, 499, 379, 18021, 355, 21251, 420, 370, 483, 13213, 485, 476, 1220, 476, 12486, 692, 258, 476, 7987, 494, 27447, 24731, 25051, 351, 19764, 493, 7987, 495, 27447, 24731, 19867, 478, 27447, 24662, 7511, 420, 489, 365, 24757, 27962, 16533, 493, 19540, 503, 25335, 482, 420, 490, 481, 25060, 500, 12571, 492, 7511, 14756, 497, 31563, 12486, 692, 258, 476, 7987, 494, 21550, 371, 28032, 489, 27447, 24662, 7987, 495, 5158, 1772, 2110, 267, 1775, 946, 9226, 269, 1577, 721, 946, 5124, 570, 8104, 24518, 2207, 780, 258, 476, 7987, 494, 21550, 371, 28032, 489, 27447, 24731, 7987, 495, 16908, 568, 2110, 267, 594, 946, 9226, 269, 2913, 721, 946, 9226, 1927, 780, 258, 476, 7987, 494, 21550, 371, 28032, 489, 13644, 368, 13107, 492, 7987, 495, 9463, 354, 31878, 421, 355, 500, 21211, 30006, 491, 27962, 19540, 503, 8147, 296, 27962, 19540, 503, 8147, 10429, 370, 10524, 500, 16533, 493, 19540, 503, 12486, 692, 1087, 815, 3403, 4590, 338, 815, 521, 338, 21858, 3488, 269, 30386, 338, 839, 815, 11713, 1721, 1775, 538, 521, 912, 825, 2283, 6910, 9217, 269, 5115, 1388, 1125, 15405, 258, 476, 26166, 31176, 366, 9463, 354, 31878, 23946, 370, 4970, 498, 421, 355, 500, 21211, 30006, 491, 27962, 19540, 503, 692, 8083, 839, 815, 1412, 7055, 1721, 6845, 538, 2283, 912, 825, 6845, 8217, 815, 1592, 4433, 523, 994, 825, 561, 815, 7003, 4433, 523, 8217, 994, 825, 585, 1775, 538, 2039, 10857, 2187, 1038, 952, 6845, 8217, 5157, 316, 2652, 1412, 328, 12466, 2018, 952, 1775, 2652, 476, 271, 543, 630, 2254, 6845, 8217, 314, 272, 4940, 529, 10401, 3890, 2187, 3546, 16080, 839, 815, 16080, 839, 266, 3488, 296, 5073, 2018, 8640, 1775, 3436, 476, 271, 543, 630, 2254, 6845, 8217, 5157, 266, 272, 4940, 529, 10401, 28829, 543, 630, 2254, 6845, 8217, 5157, 268, 272, 4940, 529, 10401, 3890, 2187, 3546, 16080, 839, 815, 16080, 839, 22065, 296, 7055, 2018, 3116, 912, 3546, 16080, 839, 815, 16080, 839, 22065, 328, 7055, 1038, 3116, 912, 2018, 16080, 839, 815, 16080, 839, 266, 11420, 8217, 5157, 2639, 825, 952, 2283, 28827, 4433, 523, 264, 11203, 7003, 4433, 839, 9984, 272, 912, 1038, 16080, 839, 815, 16080, 839, 266, 8339, 1412, 454, 2745, 263, 8083, 839, 994, 0, 258, 476, 7987, 494, 25426, 362, 30903, 502, 418, 493, 493, 13213, 364, 7987, 495, 454, 258, 13127, 364, 493, 302, 7511, 10951, 509, 10951, 360, 26033, 481, 13644, 499, 29873, 14756, 358, 24731, 23521, 354, 29072, 8147, 10524, 500, 418, 481, 367, 28884, 10533, 368, 419, 494, 484, 24731, 420, 485, 359, 26266, 365, 26033, 481, 23523, 501, 31006, 417, 354, 377, 7511, 26175, 495, 25203, 362, 8147, 12571, 495, 16533, 493, 299, 27384, 360, 26033, 478, 13601, 419, 499, 359, 8147, 12916, 510, 420, 25693, 27747, 362, 27747, 362, 10524, 500, 12571, 501, 5405, 509, 692, 258, 476, 7987, 494, 27447, 24662, 25051, 351, 19764, 493, 7987, 495, 454, 258, 476, 13601, 27310, 420, 489, 354, 23946, 366, 14748, 27882, 352, 10533, 368, 12255, 8147, 23989, 419, 353, 374, 16533, 493, 310, 26033, 481, 13644, 499, 26175, 495, 25203, 362, 7511, 29873, 14756, 358, 8147, 18809, 25426, 368, 17958, 419, 358, 374, 21550, 376, 26166, 421, 504, 498, 12486, 692, 258, 476, 7987, 494, 27447, 24731, 25051, 351, 19764, 493, 7987, 495, 454, 258, 476, 13601, 27310, 420, 489, 354, 23946, 366, 14748, 27882, 352, 10533, 368, 12255, 8147, 18809, 25426, 368, 17958, 419, 358, 374, 21550, 376, 26166, 421, 504, 498, 8147, 23989, 419, 353, 374, 16533, 493, 310, 29873, 14756, 358, 31006, 421, 360, 502, 7511, 26175, 495, 25203, 362, 15159, 417, 497, 359, 16583, 510, 26175, 495, 27818, 419, 376, 500, 9463, 371, 24724, 8147, 420, 489, 354, 20069, 14035, 504, 25426, 357, 26175, 495, 25203, 362, 29873, 14756, 358, 23946, 370, 28578, 31006, 421, 360, 502, 8147, 421, 480, 352, 18263, 486, 10524, 492, 16533, 493, 28996, 27962, 27447, 24731, 30244, 11590, 505, 26175, 495, 25203, 362, 27818, 419, 376, 500, 9463, 371, 24724, 12486, 692, 258, 476, 7987, 494, 21550, 371, 28032, 489, 27447, 24662, 7987, 495, 454, 258, 476, 1911, 476, 4200, 476, 7176, 476, 9032, 476, 1911, 692, 258, 476, 7987, 494, 21550, 371, 28032, 489, 27447, 24731, 7987, 495, 454, 258, 476, 272, 476, 276, 692, 637, 815, 3403, 14061, 20889, 4590, 13440, 815, 11713, 1721, 1775, 538, 2039, 12759, 263, 637, 15892, 825, 973, 6910, 17301, 263, 637, 5157, 28413, 11133, 815, 11713, 10946, 815, 973, 314, 271, 2639, 28744, 263, 13440, 994, 1721, 1775, 538, 2039, 12759, 263, 13440, 15892, 825, 952, 973, 5157, 316, 3436, 3193, 912, 1038, 1003, 269, 27234, 4590, 1038, 1003, 6910, 9217, 266, 272, 994, 1038, 3193, 815, 973, 5157, 2639, 825, 8640, 973, 5157, 316, 2652, 3193, 912, 1038, 1003, 6910, 9217, 266, 272, 994, 825, 3116, 912, 1038, 1780, 454, 1721, 1775, 538, 1003, 912, 825, 1820, 9217, 267, 754, 8782, 1412, 264, 0, 2745, 834, 8702, 547, 18206, 611, 5519, 645, 2393, 322, 2086, 645, 2255, 476, 1428, 4840, 2745, 834, 22068, 1695, 16988, 11792, 4157, 16988, 27024, 15854, 10957, 1768, 548, 6798, 327, 546, 1695, 21343, 8206, 5016, 8421, 514, 815, 8771, 454, 752, 684, 815, 27835, 343, 13263, 6020, 343, 9166, 262, 326, 10042, 287, 310, 310, 310, 262, 348, 7531, 6112, 711, 21189, 281, 1948, 704, 592, 22462, 2150, 4157, 2367, 322, 665, 758, 534, 3403, 534, 3593, 3954, 1146, 1239, 513, 330, 684, 521, 2086, 2967, 3954, 1146, 737, 1180, 27599, 1649, 541, 454, 825, 27024, 815, 6151, 17750, 2891, 5825, 20713, 2433, 19515, 825, 10957, 815, 6151, 17750, 2891, 27879, 5320, 2433, 19515, 825, 952, 27024, 2652, 513, 330, 684, 543, 10957, 2652, 513, 330, 684, 912, 1038, 3136, 454, 825, 8640, 27024, 711, 538, 513, 330, 684, 912, 1038, 1820, 2891, 303, 1263, 326, 10044, 538, 328, 22619, 752, 740, 320, 8206, 5602, 1038, 3136, 454, 825, 8640, 10957, 11203, 513, 330, 684, 314, 639, 20713, 14158, 1038, 1820, 2891, 27879, 5320, 2892, 1695, 8206, 5602, 1038, 3136, 454, 825, 8640, 10957, 2652, 513, 330, 684, 314, 639, 20713, 14158, 1038, 1820, 2891, 306, 601, 600, 520, 3611, 836, 1183, 3387, 8932, 15079, 1019, 18206, 611, 5519, 2668, 8971, 263, 639, 20713, 4917, 1038, 14827, 454, 1038, 21189, 815, 6936, 454, 0, 258, 8191, 281, 22707, 534, 631, 749, 514, 454, 18411, 763, 3119, 3483, 540, 713, 1982, 568, 547, 946, 2596, 7005, 1913, 547, 2119, 543, 8237, 1913, 1759, 593, 741, 24424, 269, 901, 666, 1287, 581, 8045, 585, 2789, 1919, 267, 1519, 513, 25229, 21747, 3834, 523, 1807, 543, 513, 688, 30884, 11718, 454, 18257, 692, 258, 4032, 519, 1297, 540, 24424, 538, 713, 7127, 454, 11687, 815, 834, 295, 320, 1731, 639, 616, 2182, 269, 6884, 789, 21645, 1118, 2631, 269, 4676, 3419, 518, 1807, 5016, 454, 341, 578, 1564, 815, 18358, 320, 3299, 1412, 324, 3299, 1412, 328, 3299, 1412, 334, 3299, 1412, 340, 262, 6540, 454, 5035, 28924, 1963, 10031, 825, 1219, 6449, 8181, 9191, 1345, 267, 2262, 2187, 1038, 1582, 269, 5320, 815, 2262, 31573, 4590, 1038, 1582, 21858, 318, 1910, 961, 1963, 815, 29129, 825, 1219, 16702, 628, 784, 4311, 2187, 1038, 16702, 628, 29330, 815, 18358, 5622, 3299, 1412, 537, 3299, 1412, 541, 3299, 1412, 16211, 3299, 1412, 1195, 3299, 1412, 528, 22779, 4449, 672, 1412, 5622, 3299, 1412, 518, 3299, 1412, 541, 3299, 1412, 534, 3299, 1412, 523, 3299, 1412, 597, 3299, 1412, 517, 23300, 1038, 1293, 815, 476, 271, 454, 1038, 1948, 585, 1775, 538, 2039, 12759, 4311, 269, 5320, 15892, 1038, 1948, 672, 952, 1582, 269, 5320, 5157, 316, 538, 24008, 543, 1582, 269, 5320, 5157, 27994, 1345, 269, 5320, 5157, 266, 272, 316, 538, 16702, 628, 29330, 912, 1038, 1948, 1363, 1293 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1142, 1863, 2990, 563, 825, 8173, 825, 4604, 815, 1496, 4068, 6549, 8548, 913, 3287, 267, 3014, 264, 610, 1193, 3287, 1341, 476, 272, 264, 585, 1535, 538, 2039, 263, 280, 22708, 825, 1820, 1412, 315, 333, 262, 1341, 1412, 315, 333, 8339, 21860, 3488, 29717, 21860, 29033, 20572, 281, 343, 1341, 476, 274, 8079, 585, 1535, 538, 630, 271, 267, 476, 274, 267, 476, 277, 4297, 1341, 1412, 315, 333, 262, 7531, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1007, 14682, 877, 4590, 0, 5814, 556, 692, 5228, 2645, 1104, 1820, 318, 5976, 5332, 331, 454, 5228, 2645, 1104, 1899, 454, 5228, 5569, 1104, 1698, 6919, 7531, 3698, 1413, 318, 1721, 263, 14142, 267, 6538, 267, 1257, 272, 267, 1257, 273, 267, 1257, 274, 6889, 263, 18208, 476, 272, 547, 16718, 713, 4781, 17983, 2187, 825, 2012, 815, 3403, 6600, 257, 8923, 4283, 2715, 14142, 348, 596, 616, 3168, 585, 24097, 333, 20257, 5115, 1388, 1125, 4590, 825, 10917, 815, 476, 271, 454, 825, 1247, 2012, 711, 538, 6538, 912, 1038, 585, 1239, 538, 6538, 912, 2018, 952, 2012, 31573, 3890, 2652, 1239, 31573, 10031, 3546, 2132, 1239, 454, 2018, 952, 556, 269, 14142, 28442, 31573, 19572, 1239, 31573, 3890, 2187, 3546, 10917, 6834, 476, 272, 454, 3546, 952, 10917, 2652, 476, 272, 912, 7386, 1820, 318, 5976, 5332, 331, 2891, 2080, 616, 930, 10372, 281, 5602, 3546, 1820, 16597, 994, 1038, 952, 2012, 2652, 1412, 272, 12466, 2018, 2132, 454, 1038, 1899, 4590, 1038, 2012, 815, 3403, 18692, 2018, 535, 257, 2467, 568, 2715, 3667, 272, 348, 1412, 346, 5115, 6919, 28442, 14587, 262, 538, 1250, 6538, 4799, 2018, 535, 257, 315, 333, 8923, 4283, 2715, 3667, 273, 4153, 333, 346, 3667, 274, 4153, 333, 5602, 825, 1899, 4590, 825, 2132, 2012, 454, 0, 5228, 890, 324, 933, 324, 1104, 27661, 5228, 30220, 1104, 4266, 454, 258, 1104, 28184, 5793, 454, 258, 28184, 815, 28184, 5793, 11053, 330, 4590, 258, 17198, 815, 28184, 5793, 269, 4692, 11663, 6025, 330, 267, 8700, 284, 4335, 267, 4463, 284, 4335, 994, 258, 17198, 4877, 871, 10797, 258, 1948, 9373, 883, 2680, 31467, 26013, 713, 786, 1832, 454, 258, 1948, 4881, 707, 3498, 267, 2394, 596, 14827, 454, 258, 28184, 6230, 664, 31467, 10797, 27219, 815, 5403, 326, 637, 27942, 291, 520, 15390, 3488, 4148, 1662, 11568, 3299, 3593, 8782, 14006, 326, 637, 3299, 10957, 284, 5257, 2676, 13376, 3984, 8782, 29985, 10676, 3299, 2823, 284, 276, 6246, 273, 994, 27219, 269, 6618, 30800, 5035, 12476, 26329, 263, 26329, 17107, 825, 1362, 26426, 912, 1038, 6538, 815, 24563, 7531, 5035, 9315, 16360, 848, 26329, 2187, 825, 2243, 815, 4077, 293, 1752, 4590, 825, 2626, 815, 4077, 293, 1752, 30800, 3698, 10624, 10031, 825, 513, 815, 3403, 2891, 290, 281, 8620, 14826, 309, 281, 7348, 14826, 294, 281, 10794, 14826, 291, 281, 1546, 8541, 14826, 5602, 825, 952, 5416, 2652, 1412, 309, 262, 2187, 1038, 2070, 5472, 290, 1841, 4590, 825, 952, 513, 2652, 1412, 294, 12466, 1038, 3014, 4590, 825, 952, 513, 2652, 1412, 290, 262, 1384, 1038, 2243, 815, 3403, 2891, 301, 11246, 32530, 3582, 585, 707, 3556, 1422, 333, 5602, 1038, 2626, 815, 3403, 2891, 301, 11246, 2626, 585, 707, 3556, 1422, 333, 5602, 1038, 3556, 815, 9315, 263, 23896, 284, 23896, 267, 2626, 284, 24987, 994, 1038, 3556, 4732, 1511, 4590, 1038, 1820, 6600, 257, 346, 15258, 269, 23896, 348, 543, 2715, 15258, 269, 24987, 348, 5602, 1038, 2243, 815, 3403, 2891, 2710, 596, 1616, 547, 979, 547, 10624, 2433, 344, 14672, 19515, 1038, 952, 2243, 2652, 1412, 344, 12466, 2018, 10624, 4590, 825, 952, 513, 2652, 1412, 291, 12466, 1038, 3556, 815, 9315, 10947, 18154, 731, 269, 573, 2652, 3403, 18692, 2018, 834, 6343, 2243, 798, 596, 1616, 547, 18419, 286, 18771, 946, 9517, 1297, 27328, 1038, 3556, 19709, 8541, 318, 27349, 4590, 1038, 3556, 4732, 1511, 4590, 1038, 2243, 815, 3403, 2891, 2710, 596, 1616, 547, 979, 547, 10624, 2433, 344, 14672, 19515, 1038, 952, 2243, 2652, 1412, 344, 12466, 2018, 10624, 30800, 3698, 2070, 5472, 290, 1841, 10031, 825, 585, 3556, 538, 9315, 269, 572, 937, 10031, 1038, 1820, 2891, 27309, 3582, 834, 266, 15258, 269, 23896, 266, 257, 4888, 14684, 2207, 834, 266, 15258, 269, 24987, 9239, 3698, 3014, 10031, 825, 2953, 815, 476, 271, 454, 825, 11234, 815, 476, 271, 454, 825, 513, 815, 703, 9272, 2891, 1692, 3509, 21998, 1684, 1411, 1616, 689, 707, 16064, 286, 834, 11723, 825, 585, 3556, 538, 9315, 269, 572, 937, 10031, 1038, 952, 513, 3436, 476, 271, 912, 2018, 513, 20699, 476, 272, 454, 2018, 952, 3403, 6600, 257, 346, 15258, 269, 23896, 4153, 333, 8442, 2652, 3556, 269, 24987, 912, 3546, 2953, 6834, 476, 272, 454, 3546, 1820, 6600, 257, 8649, 870, 540, 2953, 281, 2715, 322, 8091, 348, 15419, 2018, 3116, 912, 3546, 11234, 6834, 476, 272, 454, 3546, 1820, 6600, 257, 8649, 870, 540, 11234, 281, 2715, 4532, 8091, 348, 5602, 3546, 952, 3403, 2891, 4777, 596, 1616, 547, 1294, 519, 1394, 586, 14672, 8442, 2652, 1412, 344, 12466, 7386, 1820, 6600, 257, 24987, 568, 2715, 15258, 269, 24987, 348, 257, 9239, 27219, 269, 22056, 4671, 1963, 8443, 25205, 7481, 5443, 340, 4590, 0, 26611, 23591, 24800, 270, 7090, 692, 258, 29441, 1759, 593, 912, 258, 4179, 2517, 342, 5942, 269, 24160, 11907, 8542, 14505, 10993, 270, 5891, 270, 5085, 270, 1692, 266, 2414, 266, 16966, 266, 10574, 266, 4415, 266, 23911, 692, 5814, 15259, 692, 5228, 3434, 1408, 756, 1104, 13648, 773, 297, 541, 454, 5228, 2712, 961, 756, 1104, 2712, 6352, 13892, 454, 5814, 2712, 961, 756, 273, 692, 258, 634, 3593, 22754, 602, 786, 581, 1031, 547, 6461, 6510, 1569, 547, 519, 1239, 454, 639, 20713, 815, 834, 6921, 2100, 345, 2420, 4840, 10139, 5320, 815, 834, 7476, 300, 7495, 3041, 876, 4840, 22322, 3097, 258, 634, 29250, 540, 519, 3758, 649, 6999, 547, 23074, 454, 3097, 14766, 815, 834, 10674, 2517, 324, 275, 1111, 331, 4905, 6983, 337, 30994, 7714, 10993, 19072, 5357, 288, 19072, 312, 291, 6021, 16598, 269, 22650, 270, 1001, 277, 269, 6021, 269, 1428, 19072, 312, 291, 6021, 16598, 6993, 1001, 27698, 280, 19544, 1240, 341, 6860, 269, 22650, 269, 1001, 277, 2918, 10755, 6321, 274, 275, 19544, 4206, 4840, 3097, 3097, 258, 8073, 513, 10957, 9614, 547, 4308, 609, 519, 476, 25002, 454, 258, 1065, 2945, 602, 568, 8120, 689, 3047, 10574, 8298, 514, 692, 14766, 318, 8421, 514, 815, 834, 10059, 2517, 2720, 269, 24160, 11907, 8542, 14505, 10993, 257, 3097, 10139, 5320, 318, 2006, 4526, 815, 2712, 961, 756, 273, 269, 12487, 9143, 27879, 5320, 300, 23950, 4415, 9377, 5435, 18600, 332, 4590, 10139, 5320, 318, 2006, 4526, 14491, 7272, 817, 5320, 263, 7183, 267, 29250, 318, 8421, 514, 267, 27024, 267, 10957, 12467, 3097, 258, 8073, 513, 23739, 20220, 585, 13936, 12897, 269, 901, 568, 1031, 547, 4558, 543, 2132, 454, 258, 519, 8400, 23739, 2016, 547, 946, 676, 519, 1239, 7746, 630, 1278, 3772, 621, 786, 1175, 454, 258, 1832, 11488, 721, 1394, 547, 3047, 11907, 8298, 514, 547, 6461, 6510, 1040, 476, 27814, 267, 649, 454, 258, 1058, 946, 513, 3758, 1759, 23739, 20220, 547, 8190, 12897, 1063, 8255, 269, 901, 454, 258, 786, 1118, 621, 1454, 811, 3608, 563, 322, 809, 773, 19553, 541, 815, 13648, 773, 297, 541, 10797, 258, 12305, 782, 519, 1688, 6840, 563, 641, 10273, 815, 2712, 961, 756, 273, 12500, 4265, 318, 641, 10273, 18692, 825, 2712, 961, 756, 273, 269, 12487, 9143, 21995, 288, 3578, 21652, 2401, 9638, 817, 5320, 318, 2006, 4526, 13211, 825, 1948, 584, 961, 756, 273, 269, 12487, 9143, 21652, 2401, 263, 1372, 30132, 24038, 284, 272, 1070, 825, 1948, 1133, 1260, 618, 891, 1079, 3515, 547, 1294, 454, 825, 1948, 584, 961, 756, 273, 269, 12487, 307, 4916, 21652, 2401, 263, 1372, 30132, 24038, 284, 272, 1070, 567, 1948, 3877, 540, 519, 13668, 270, 22529, 525, 454, 825, 2712, 961, 756, 273, 269, 12487, 9143, 290, 809, 773, 3682, 19485, 6262, 809, 773, 19553, 541, 11723, 584, 961, 756, 273, 269, 13318, 718, 318, 641, 10273, 263, 641, 10273, 994, 3097, 3097, 258, 8073, 543, 10505, 519, 7662, 269, 1703, 616, 513, 2647, 2039, 540, 17756, 602, 454, 258, 666, 581, 16207, 1934, 267, 1519, 26824, 13286, 543, 772, 305, 4041, 337, 2928, 269, 1452, 1058, 581, 454, 258, 9575, 543, 17411, 563, 7528, 652, 815, 2712, 961, 756, 273, 10611, 3225, 652, 263, 14766, 994, 24978, 815, 2712, 961, 756, 273, 269, 14766, 13449, 263, 7528, 652, 2020, 258, 5192, 3758, 454, 325, 4067, 815, 15259, 29624, 12500, 553, 17575, 263, 29250, 12467, 321, 2435, 18316, 815, 3210, 18667, 10797, 325, 815, 1930, 263, 535, 4067, 267, 1412, 342, 262, 12467, 325, 22182, 263, 9352, 18316, 12467, 325, 25379, 30800, 3097, 0, 1029, 9188, 5524, 1029, 815, 26444, 12163, 7049, 4733, 513, 1007, 2637, 9189, 303, 1156, 9189, 24961, 609, 14477, 8655, 1024, 8040, 563, 20701, 1029, 10461, 1029, 815, 834, 28061, 808, 269, 4498, 916, 4840, 1029, 11845, 1029, 815, 834, 1708, 272, 268, 6021, 268, 736, 5016, 5814, 575, 10975, 777, 692, 5814, 11885, 607, 5286, 692, 5814, 5299, 267, 621, 1068, 8962, 692, 3201, 15771, 5723, 292, 4811, 815, 2715, 257, 12711, 9899, 257, 3722, 291, 9128, 21203, 31082, 299, 300, 23259, 304, 305, 4306, 309, 310, 312, 20350, 17264, 834, 323, 3534, 9899, 257, 3722, 28566, 20350, 17264, 834, 337, 3534, 9899, 257, 3722, 294, 308, 20350, 17264, 834, 15893, 9899, 257, 23713, 24833, 277, 4281, 280, 257, 10926, 3698, 9041, 338, 2217, 318, 531, 8224, 4433, 727, 318, 531, 8224, 267, 16341, 20311, 2187, 825, 678, 12163, 825, 15932, 569, 2824, 930, 1297, 540, 5439, 689, 9904, 269, 630, 5591, 5470, 10992, 6393, 825, 930, 318, 531, 8224, 281, 5569, 270, 4289, 540, 2418, 454, 825, 930, 20311, 281, 930, 1297, 547, 3732, 454, 825, 29185, 825, 930, 318, 531, 8224, 815, 1592, 4433, 727, 318, 531, 8224, 2020, 825, 1948, 6423, 952, 2898, 9904, 568, 2338, 563, 825, 782, 5332, 10179, 545, 815, 6936, 454, 825, 547, 5334, 677, 815, 11713, 825, 585, 513, 538, 930, 318, 531, 8224, 912, 1038, 2119, 912, 2018, 547, 5334, 677, 6910, 9230, 842, 5416, 1070, 320, 4917, 1038, 4849, 630, 13911, 13286, 267, 19368, 13286, 2187, 2018, 782, 5332, 10179, 545, 815, 8771, 454, 2018, 2736, 692, 825, 1948, 1403, 782, 2338, 267, 4990, 543, 2132, 1101, 930, 20311, 9704, 454, 825, 952, 782, 5332, 10179, 545, 912, 1038, 547, 5334, 677, 31699, 4590, 1038, 9904, 815, 1496, 320, 314, 272, 316, 585, 513, 538, 547, 5334, 677, 2639, 1038, 2132, 9904, 11468, 16341, 20311, 6540, 825, 1948, 19227, 267, 1175, 2824, 2829, 14477, 454, 825, 3116, 912, 1038, 2132, 1592, 18828, 20179, 26716, 4069, 4433, 727, 318, 531, 8224, 267, 21653, 284, 16341, 20311, 267, 516, 2897, 25716, 264, 9239, 3698, 5352, 14682, 10975, 26028, 843, 6943, 22561, 2676, 4449, 13592, 22561, 2676, 4449, 3135, 9078, 629, 1564, 22561, 2676, 4449, 1003, 5334, 2572, 284, 276, 2676, 4449, 1003, 14067, 919, 30648, 5334, 924, 284, 273, 2676, 4449, 9904, 22561, 2676, 4449, 3193, 318, 2102, 8040, 284, 14530, 5881, 273, 2187, 825, 678, 12163, 825, 2637, 4733, 513, 2637, 9189, 303, 1156, 9189, 24961, 609, 1585, 1024, 8040, 780, 825, 3552, 6943, 2433, 5569, 454, 1038, 3552, 6943, 5311, 269, 952, 711, 9138, 267, 4020, 17062, 3552, 6943, 689, 454, 1038, 13592, 1592, 780, 825, 13592, 2433, 1592, 6438, 454, 1038, 1403, 9138, 267, 713, 936, 337, 1938, 1003, 5334, 2572, 543, 1003, 14067, 919, 30648, 5334, 924, 269, 901, 454, 1038, 666, 1491, 723, 1079, 3029, 1384, 1038, 476, 272, 264, 3807, 899, 513, 6093, 2637, 9189, 303, 1156, 9189, 24961, 1289, 267, 713, 1223, 581, 513, 1592, 454, 1038, 540, 8638, 267, 609, 835, 1592, 829, 3135, 269, 634, 4835, 8638, 3180, 519, 15817, 454, 1038, 9904, 585, 1142, 3135, 269, 1280, 1383, 267, 13592, 17342, 14277, 288, 14824, 289, 257, 3910, 14277, 288, 257, 14963, 1131, 454, 1038, 1711, 513, 4786, 609, 2829, 834, 288, 257, 543, 834, 289, 257, 693, 519, 1101, 3135, 543, 1533, 834, 288, 257, 693, 454, 1038, 519, 2034, 3135, 269, 10691, 292, 281, 952, 3552, 6943, 568, 9138, 267, 922, 2829, 1590, 581, 454, 1038, 538, 519, 13592, 1592, 269, 589, 3552, 6943, 5311, 834, 10621, 257, 1131, 581, 15095 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 676, 1776, 533, 11921, 563, 268, 4563, 781, 1152, 2707, 540, 4831, 2452, 568, 593, 519, 15438, 728, 910, 1010, 546, 277, 5174, 12360, 267, 552, 277, 7304, 809, 267, 552, 275, 11860, 9519, 267, 543, 10348, 616, 782, 3750, 532, 602, 1858, 563, 268, 4563, 781, 536, 278, 5174, 12360, 267, 799, 568, 21108, 546, 276, 568, 4730, 513, 17033, 17872, 1909, 563, 268, 4563, 781, 4158, 1606, 32464, 21674, 568, 4758, 6109, 1489, 547, 519, 524, 278, 1790, 11921, 1247, 849, 4730, 513, 1883, 1909, 538, 1022, 15438, 728, 4323, 563, 268, 6519, 781, 536, 273, 5174, 12360, 568, 29680, 563, 301, 269, 10374, 910, 808, 269, 7033, 2006, 267, 570, 650, 7921, 476, 1960, 272, 454, 2005, 781, 2312, 602, 6519, 568, 538, 2347, 1852, 540, 713, 2990, 13463, 22595, 519, 546, 1922, 850, 630, 28387, 7432, 3109, 781, 681, 23697, 883, 12809, 4715, 2209, 264, 543, 1010, 10348, 568, 16119, 1671, 935, 1027, 593, 835, 540, 3109, 781, 18604, 15438, 728, 4158, 10945, 269, 3371, 596, 949, 581, 5185, 609, 513, 3908, 2179, 540, 3681, 2390, 875, 547, 2417, 23309, 519, 15438, 728, 4158, 10945, 563, 268, 31436, 276, 568, 519, 6654, 11134, 32717, 682, 2355, 547, 513, 4158, 4009, 543, 27938, 547, 14299, 593, 535, 278, 269, 10251, 267, 476, 272, 1862, 304, 343, 326, 273, 266, 1131, 2322, 513, 2481, 704, 593, 3043, 781, 16873, 563, 268, 681, 325, 275, 3217, 909, 15335, 593, 535, 275, 543, 30242, 547, 1246, 909, 609, 681, 343, 325, 278, 267, 855, 476, 272, 1862, 304, 343, 323, 278, 1131, 581, 19849, 23035, 563, 268, 1656, 713, 3762, 1152, 835, 824, 3043, 4062, 602, 666, 5397, 1524, 519, 4158, 30026, 19814, 22554, 781, 3751, 2336, 300, 22389, 630, 300, 778, 264, 1299, 7698, 4517, 1320, 805, 338, 630, 12385, 264, 5288, 269, 1955, 4472, 1734, 630, 296, 3387, 320, 994, 2080, 8125, 2006, 7475, 519, 3184, 609, 513, 1187, 543, 16367, 3014, 998, 519, 4064, 540, 1614, 1114, 2010, 540, 5716, 269, 7557, 568, 519, 1826, 540, 1268, 945, 9909, 540, 3206, 899, 513, 3684, 269, 4223, 568, 513, 18560, 945, 6487, 4986, 540, 20817, 267, 855, 11394, 547, 2661, 543, 5884, 676, 519, 834, 10267, 1087, 568, 827, 1570, 543, 6937, 257, 2247, 3613, 3195, 269, 1955, 9346, 267, 2705, 267, 568, 606, 19261, 7192, 20601, 5964, 563, 9616, 281, 7557, 543, 4223, 786, 581, 1732, 693, 9819, 267, 1247, 1955, 9346, 786, 723, 513, 9120, 1702, 540, 6679, 3069, 269, 4746, 267, 713, 3014, 568, 1257, 5230, 256, 2336, 763, 1448, 540, 602, 1383, 729, 602, 789, 2099, 1614, 1483, 1480, 2010, 912, 1103, 606, 2085, 1141, 1169, 3978, 6345, 814, 513, 3532, 21802, 2599, 267, 594, 4312, 630, 22068, 2006, 264, 14478, 513, 21802, 6855, 2408, 602, 781, 7429, 4376, 2479, 2938, 1354, 269, 2755, 1739, 2661, 6264, 24490, 3756, 267, 519, 13999, 540, 21802, 11655, 782, 7985, 689, 513, 3838, 21802, 2618, 2670, 910, 789, 1589, 789, 917, 4010, 1018, 781, 2469, 593, 269, 5440, 531, 990, 4249, 930, 5393, 1950, 1847, 543, 5215, 2328, 538, 552, 24809, 796, 2581, 267, 834, 12749, 531, 990, 568, 476, 272, 269, 6349, 909, 256, 1261, 781, 2469, 547, 3094, 10590, 1358, 616, 1612, 549, 1154, 741, 2599, 781, 4879, 267, 855, 789, 3100, 547, 12161, 621, 585, 741, 1378, 269, 1358, 588, 732, 693, 741, 3684, 781, 4028, 1922, 790, 16802, 540, 7575, 267, 855, 798, 789, 1174, 1946, 621, 781, 2857, 2056, 873, 286, 2290, 1522, 1589, 602, 513, 21802, 6345, 1131, 1294, 3564, 519, 21903, 543, 711, 25657, 1010, 1378, 9342, 609, 1346, 540, 1010, 2780, 269, 19759, 569, 267, 713, 568, 1419, 711, 519, 2013, 269, 1656, 713, 1482, 834, 650, 1145, 257, 11438, 936, 547, 2022, 531, 21802, 543, 2079, 563, 8170, 1576, 267, 2899, 891, 2780, 10276, 327, 2331, 11655, 1491, 851, 538, 606, 936, 7308, 1532, 13635, 29658, 267, 741, 7301, 4641, 3533, 26301, 543, 17236, 269, 1809, 789, 666, 849, 581, 4547, 1524, 547, 3047, 676, 513, 1906, 1913, 689, 513, 1434, 21802, 4116, 269, 2353, 646, 2115, 547, 2307, 630, 517, 576, 606, 4277, 2990, 5526, 264, 568, 267, 834, 1432, 781, 2469, 593, 1934, 8119, 1656, 10393, 606, 9237, 2875, 786, 8275, 602, 646, 781, 13587, 1882, 5128, 256, 4595, 646, 18387, 1405, 27058, 519, 20817, 267, 646, 666, 1405, 2626, 519, 2243, 538, 1022, 2620, 543, 11579, 7992, 6073, 269, 1656, 10213, 519, 4116, 602, 865, 7146, 27940, 568, 476, 271, 269, 6246, 6619, 10665, 593, 519, 1202, 2033, 269, 589, 21802, 2599, 666, 581, 1360, 3730, 267, 855, 621, 666, 849, 2490, 883, 513, 1835, 8553, 602, 2965, 11151, 596, 689, 5355, 563, 300, 778, 729, 2813, 547, 1397, 875, 18864, 14659, 899, 513, 2780, 267, 6862, 1131, 649, 1616, 547, 269, 4258, 1087, 568, 513, 3014, 3638, 538, 7553, 267, 1148, 267, 519, 19060, 540, 6735, 267, 543, 519, 7772, 540, 5137, 269, 20837, 338, 540, 7648, 543, 10268, 2338, 630, 271, 269, 2641, 264, 2490, 513, 3636, 267, 5393, 1480, 3014, 883, 1945, 4411, 543, 26968, 762, 563, 2691, 596, 1810, 1405, 723, 513, 9787, 540, 519, 20817, 267, 596, 2811, 2451, 609, 11613, 4986, 267, 610, 630, 553, 538, 519, 2013, 540, 4223, 264, 609, 13946, 2006, 9238, 899, 4323, 267, 9718, 267, 6937, 267, 543, 9819, 269, 1452, 616, 1434, 1919, 910, 22336, 821, 2115, 873, 269, 1809, 568, 713, 5187, 2065, 13235, 1935, 782, 596, 1616, 585, 3054, 888, 15987, 1955, 9346, 7948, 1405, 5173, 3833, 607, 7184, 607, 1010, 17837, 267, 646, 4718, 2484, 811, 982, 2901, 540, 1010, 535, 3996, 269, 634, 20817, 5795, 1864, 513, 1134, 25454, 2990, 531, 2069, 602, 6035, 1864, 513, 4396, 1620, 540, 1312, 9602, 11979, 7158, 543, 5857, 704, 6422, 3283, 563, 7883, 1394, 543, 1413, 693, 782, 519, 8292, 269, 898, 781, 2312, 602, 1955, 9346, 729, 519, 1152, 835, 602, 1185, 1022, 2856, 827, 519, 2990, 781, 11580, 543, 10700, 4502, 269, 3767, 649, 2490, 547, 596, 267, 519, 5467, 540, 713, 1433, 269, 1411, 1522, 711, 5173, 1360, 1134, 267, 610, 596, 1522, 5173, 1732, 982, 1955, 9346, 267, 855, 9327, 1405, 596, 2864, 581, 538, 1955, 9346, 781, 10887, 286, 1403, 865, 267, 596, 2811, 593, 707, 1259, 547, 16565, 519, 1702, 602, 1034, 5716, 3274, 1810, 1405, 723, 563, 9616, 281, 898, 781, 2141, 513, 1434, 3364, 952, 596, 723, 519, 2702, 547, 5173, 3533, 543, 7184, 267, 855, 1702, 540, 519, 20817, 786, 1419, 1205, 596, 676, 267, 1256, 952, 707, 6207, 3970, 568, 513, 1079, 11399, 31644, 1847, 5311, 563, 307, 1779, 547, 519, 8274, 543, 898, 4024, 13185, 547, 1411, 454, 25444, 814, 930, 4990, 540, 4835, 5188, 950, 621, 781, 741, 2490, 547, 1847, 269, 4107, 5716, 588, 732, 10145, 569, 693, 519, 4604, 543, 1589, 267, 834, 296, 979, 972, 543, 646, 4422, 972, 543, 594, 979, 972, 543, 646, 4422, 972, 10590, 898, 781, 6986, 9819, 267, 2356, 1759, 593, 4250, 267, 14699, 267, 610, 3274, 519, 7287, 547, 1265, 1945, 910, 1415, 3364, 268, 602, 4667, 10257, 269, 1717, 267, 952, 594, 11074, 596, 689, 12719, 543, 4280, 2676, 257, 4692, 596, 8231, 958, 2736, 713, 2990, 1524, 585, 803, 24350, 1862, 1492, 12918, 616, 602, 707, 2626, 9327, 1405, 581, 11000, 2914, 20564, 269, 5269, 1100, 12161, 827, 713, 281, 693, 1022, 2016, 4090, 267, 596, 1058, 581, 2111, 547, 11000, 824, 5716, 827, 519, 5294, 543, 931, 540, 1022, 2990, 596, 3914, 256, 1656, 267, 952, 596, 666, 1405, 2322, 707, 14853, 593, 519, 13942, 540, 519, 2990, 267, 952, 596, 1810, 1405, 917, 1018, 1312, 5011, 991, 547, 9585, 267, 1287, 875, 616, 596, 2469, 547, 1265, 519, 1318, 1847, 286, 898, 781, 899, 6998, 585, 6117, 8846, 547, 606, 7164, 1747, 563, 1607, 568, 1946, 1034, 5716, 1745, 4503, 693, 4262, 269, 1358, 1745, 789, 1810, 1405, 917, 1018, 781, 2469, 593, 267, 543, 865, 2119, 547, 15429, 909, 519, 18015, 676, 3168, 585, 6937, 543, 5924, 3168, 585, 2081, 547, 1711, 873, 269, 1358, 917, 1945, 781, 4636, 910, 1945, 781, 7508, 269, 1809, 789, 1810, 1405, 917, 1018, 547, 798, 827, 621, 267, 543, 713, 5932, 513, 4743, 540, 1379, 16531, 563, 307, 6412, 803, 950, 594, 2995, 596, 602, 621, 3085, 1405, 723, 547, 581, 713, 1259, 563, 2005, 781, 942, 547, 1205, 513, 3787, 21173, 910, 4495, 596, 4487, 519, 20817, 630, 663, 952, 596, 1224, 713, 1433, 689, 4098, 547, 1439, 267, 596, 786, 4487, 519, 20817, 256, 1070, 621, 786, 581, 942, 547, 1205, 909, 2673, 543, 2123, 609, 519, 4604, 269, 769, 2489, 267, 596, 666, 4137, 856, 513, 1434, 4308, 827, 1022, 2990, 676, 3257, 519, 1739, 912, 763, 14022, 3042, 18484, 5494, 6847, 454, 268, 5269, 2386, 596, 616, 3222, 540, 1022, 19020, 6937, 676, 519, 18545, 543, 849, 798, 513, 2656, 3406, 585, 1022, 2596, 28365, 4798, 602, 1522, 581, 1459, 563, 268, 1306, 322, 1643, 519, 20817, 585, 1312, 5011, 563, 268, 3973, 2307, 519, 4604, 630, 514, 606, 4835, 5188, 1070, 834, 1432, 1847, 610, 3126, 540, 7575, 13290, 547, 1491, 5413, 540, 891, 2188, 24350, 9616, 281, 8125, 2006, 17613, 602, 596, 1058, 711, 581, 1310, 4566, 829, 694, 267, 855, 2864, 7575, 602, 8597, 547, 519, 20817, 269, 0, 14240, 540, 1412, 553, 5155, 7055, 15862, 540, 1412, 553, 5155, 7055, 15100, 25120, 22131, 20607, 1105, 4157, 267, 9505, 614, 18450, 454, 7078, 5220, 5627, 1412, 553, 5155, 7055, 4322, 1806, 723, 1044, 8850, 5697, 543, 949, 2270, 6213, 1543, 269, 3367, 811, 7498, 22818, 1317, 594, 15422, 602, 4832, 267, 1279, 3516, 267, 6456, 1851, 519, 607, 5155, 4054, 269, 27699, 3036, 303, 12778, 24202, 16692, 26059, 630, 1960, 273, 264, 2005, 10443, 998, 5394, 1115, 540, 607, 5155, 543, 536, 1023, 600, 1402, 24882, 543, 729, 1129, 14006, 539, 547, 589, 19520, 15880, 543, 631, 2313, 8235, 269, 670, 26996, 5254, 13263, 630, 1960, 273, 994, 307, 516, 2738, 540, 1412, 553, 5155, 7055, 5825, 539, 12769, 31531, 269, 607, 5155, 568, 835, 540, 519, 476, 4968, 876, 1034, 4122, 1031, 1913, 538, 519, 19811, 8675, 454, 8698, 6165, 585, 912, 9558, 331, 725, 585, 1412, 553, 5155, 7055, 23873, 2296, 281, 607, 5155, 715, 5495, 301, 454, 2304, 607, 5155, 568, 513, 7381, 3529, 609, 3762, 602, 1847, 513, 2603, 538, 519, 2842, 563, 14240, 540, 607, 5155, 689, 519, 19811, 2296, 9218, 454, 763, 1893, 540, 2648, 281, 476, 276, 2081, 547, 2769, 707, 2648, 593, 27223, 779, 4303, 454, 1103, 519, 2344, 585, 930, 1007, 2474, 540, 1439, 792, 618, 286, 3371, 779, 519, 29721, 3297, 930, 540, 519, 1034, 2442, 563, 8512, 2290, 281, 1133, 24286, 13495, 18288, 609, 6754, 32201, 454, 2171, 2366, 835, 540, 519, 19811, 2319, 585, 513, 835, 3562, 14633, 1565, 1995, 609, 519, 812, 5128, 267, 543, 1934, 779, 875, 789, 1336, 851, 835, 540, 519, 1576, 563, 18794, 519, 19811, 2146, 454, 5472, 519, 5767, 2262, 344, 3377, 267, 10409, 4030, 267, 3091, 543, 19194, 1169, 3923, 269, 0, 7197, 1004, 3858, 602, 1004, 945, 6057, 2831, 616, 16970, 269, 1809, 972, 781, 606, 9687, 1899, 540, 3206, 602, 676, 3168, 693, 891, 10963, 1996, 2831, 267, 3006, 596, 666, 849, 1118, 513, 4276, 547, 824, 10963, 2443, 1996, 1004, 610, 3959, 2443, 899, 6469, 5208, 267, 1126, 6057, 267, 818, 5459, 610, 1256, 12638, 563, 27154, 6057, 543, 824, 10963, 1996, 2831, 616, 1419, 519, 5452, 602, 1332, 883, 2484, 811, 3978, 10963, 269, 1280, 1383, 267, 476, 2004, 260, 540, 22850, 1235, 543, 835, 21017, 540, 1126, 18253, 1562, 2161, 789, 26884, 2831, 538, 741, 6107, 269, 21009, 540, 26722, 22850, 1235, 543, 513, 3791, 540, 1126, 18253, 1562, 4080, 22867, 3662, 6057, 1282, 6689, 610, 18273, 269, 589, 9628, 17318, 4972, 1353, 968, 516, 557, 4705, 513, 1376, 1782, 4412, 3748, 585, 25476, 9901, 609, 10963, 1996, 2831, 547, 3479, 824, 10795, 1055, 5151, 4724, 1480, 9601, 1848, 4329, 267, 834, 320, 5619, 540, 2021, 538, 6469, 8686, 2723, 775, 24181, 8612, 602, 476, 10170, 260, 1185, 4891, 945, 26884, 610, 12219, 547, 6057, 10130, 4799, 6826, 2386, 547, 6443, 721, 13638, 267, 4728, 476, 736, 628, 267, 950, 3220, 269, 8585, 1188, 786, 912, 268, 1865, 875, 3662, 28877, 13753, 666, 1489, 824, 2010 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2013, 602, 22851, 707, 5304, 593, 2789, 2157, 269, 5015, 267, 9301, 1455, 2887, 9313, 543, 9319, 873, 538, 707, 1378, 1603, 786, 7794, 707, 2949, 4661, 543, 22937, 3152, 26117, 547, 707, 6811, 780, 7661, 267, 12180, 707, 4555, 538, 513, 2312, 543, 13801, 6073, 568, 4105, 585, 4180, 602, 707, 5048, 1281, 711, 1205, 4503, 9624, 12721, 2093, 269, 589, 6093, 10388, 1557, 5205, 513, 2947, 24733, 4588, 2497, 9967, 540, 606, 4367, 267, 1614, 1560, 9433, 267, 543, 513, 3932, 269, 10738, 713, 5943, 267, 1142, 3296, 5713, 513, 3982, 3483, 281, 519, 4367, 19306, 519, 5467, 781, 3007, 267, 12857, 519, 1888, 267, 6799, 519, 5098, 3948, 267, 543, 14592, 519, 1292, 2798, 282, 519, 1560, 9433, 1683, 2963, 267, 2079, 267, 543, 1806, 5885, 519, 3844, 3409, 282, 543, 519, 3932, 26564, 519, 1883, 4681, 267, 1964, 919, 519, 5098, 267, 543, 3091, 3803, 24616, 269, 1520, 17518, 547, 713, 10721, 4806, 2636, 596, 547, 1459, 513, 1134, 3613, 19099, 4661, 602, 8928, 25401, 689, 4098, 547, 1439, 780, 3086, 602, 649, 723, 4988, 519, 4909, 3334, 540, 10388, 1603, 267, 1577, 721, 2490, 938, 3007, 2509, 7311, 891, 2035, 1369, 519, 2796, 540, 6752, 1374, 543, 2029, 269, 13018, 267, 649, 786, 4983, 1079, 10296, 4145, 4867, 6849, 519, 2872, 281, 6940, 543, 13784, 269, 3414, 6297, 7156, 540, 891, 10562, 4798, 267, 596, 786, 11349, 513, 4514, 7071, 585, 519, 1909, 602, 10388, 11407, 4249, 538, 5935, 1857, 8226, 543, 6117, 6209, 1689, 780, 8893, 5565, 281, 12655, 13756, 538, 22960, 5071, 543, 5303, 692, 2026, 2518, 4656, 3823, 2916, 1689, 5170, 547, 1332, 267, 1082, 6080, 31251, 6752, 1765, 732, 29270, 741, 2825, 11640, 543, 5275, 2081, 547, 2569, 3653, 267, 18359, 2200, 267, 543, 3895, 1279, 3856, 8733, 3666, 269, 901, 3350, 2509, 6940, 814, 3366, 547, 2799, 22987, 540, 2757, 5663, 3157, 543, 6273, 5499, 3435, 6322, 693, 10893, 2800, 1510, 18731, 2298, 610, 15312, 269, 1306, 14971, 4589, 540, 11174, 15923, 5059, 593, 7802, 543, 10571, 267, 621, 568, 16122, 602, 596, 1174, 519, 16082, 4478, 713, 3390, 543, 1020, 5483, 8369, 1759, 593, 3280, 1382, 543, 2565, 3206, 780, 2414, 2253, 267, 24559, 3054, 609, 519, 1739, 2474, 543, 2035, 4122, 2404, 609, 4264, 6752, 281, 9764, 4346, 267, 27500, 2326, 267, 4023, 4123, 267, 3500, 6752, 267, 909, 19464, 267, 543, 4642, 2914, 4292, 1374, 269, 3962, 2165, 4564, 513, 2189, 2460, 540, 4264, 2259, 543, 8309, 547, 606, 5571, 5188, 827, 3743, 4616, 543, 2504, 269, 3958, 267, 1491, 4063, 540, 9565, 3906, 971, 607, 22960, 7169, 543, 5682, 701, 864, 267, 799, 12167, 585, 11413, 267, 12477, 267, 543, 5683, 3375, 6194, 1369, 519, 6752, 2872, 780, 5629, 596, 4865, 513, 4396, 5748, 538, 4264, 6752, 16166, 543, 1883, 5716, 267, 4497, 538, 2417, 7634, 676, 7421, 14046, 4930, 267, 3377, 5359, 267, 543, 1514, 2923, 11044, 10704, 1472, 10357, 7888, 7341, 269, 9796, 1880, 3007, 547, 3811, 6725, 3646, 602, 3927, 5968, 519, 2640, 540, 12561, 4264, 2853, 267, 607, 1134, 607, 2591, 5185, 676, 3549, 12394, 547, 2936, 22928, 4507, 269, 1306, 596, 5531, 1344, 267, 2992, 593, 707, 2123, 2833, 609, 6752, 543, 2015, 875, 707, 6208, 5447, 609, 630, 528, 1821, 5573, 689, 264, 4264, 19237, 780, 9202, 267, 25666, 513, 5098, 3948, 602, 20206, 12885, 707, 18879, 593, 4264, 6752, 269, 2659, 25195, 1223, 2232, 1585, 3344, 540, 519, 3390, 267, 1519, 7082, 2623, 267, 9746, 5539, 267, 610, 2229, 7939, 269, 17859, 540, 519, 5086, 596, 3442, 267, 2327, 602, 707, 5098, 9356, 707, 9488, 6514, 540, 2139, 1239, 543, 9727, 513, 13857, 1620, 540, 519, 10848, 7915, 538, 5009, 6940, 1369, 519, 6752, 2872, 780, 15563, 267, 17492, 513, 10388, 1557, 19163, 585, 610, 1996, 707, 6074, 2990, 593, 4264, 6752, 269, 22982, 23674, 2959, 267, 2502, 6386, 267, 543, 10388, 2553, 5941, 4505, 538, 713, 1770, 547, 6655, 707, 5048, 5693, 543, 3196, 2685, 269, 5457, 547, 2226, 1843, 2032, 950, 9306, 15852, 5784, 543, 11441, 547, 771, 1301, 1761, 1843, 687, 998, 2601, 539, 7440, 20483, 676, 12170, 2963, 269, 11086, 267, 707, 3804, 568, 547, 8300, 2962, 1851, 707, 3988, 543, 3565, 25006, 547, 519, 6626, 6643, 7282, 4264, 6752, 1374, 543, 2029, 780, 8893, 8422, 281, 32213, 5071, 538, 22960, 543, 4706, 20556, 547, 20885, 692, 26589, 2515, 3395, 6161, 585, 519, 1604, 267, 1776, 1713, 7678, 18534, 12686, 519, 6752, 5251, 25701, 547, 13784, 1765, 4067, 569, 267, 8888, 23157, 602, 13918, 513, 2647, 2039, 540, 1560, 2010, 267, 5759, 267, 6502, 267, 25469, 267, 14797, 267, 543, 4529, 269, 1635, 8508, 4763, 543, 5807, 6041, 267, 4464, 6253, 9722, 12478, 2832, 547, 4161, 6848, 8155, 267, 7668, 12790, 2950, 267, 543, 6038, 267, 5397, 6455, 269, 1717, 267, 8236, 3020, 10014, 3340, 811, 982, 3274, 9750, 2450, 9832, 610, 10023, 26173, 2516, 538, 10229, 11044, 282, 2864, 267, 621, 19329, 513, 11455, 1935, 16135, 538, 6568, 267, 2463, 267, 543, 5698, 780, 2414, 6536, 8537, 3206, 1369, 707, 1378, 1603, 267, 1376, 676, 14344, 519, 6228, 540, 11528, 7496, 7303, 12581, 1569, 547, 6752, 269, 6201, 1331, 3908, 8244, 540, 13261, 7802, 585, 1004, 609, 9124, 267, 3668, 540, 7292, 4763, 538, 9781, 5641, 902, 267, 2085, 1143, 10419, 18050, 998, 4550, 268, 1645, 2472, 543, 20261, 267, 543, 4008, 11475, 18674, 3842, 575, 25311, 6725, 2994, 269, 20876, 891, 9465, 2488, 513, 2556, 4358, 1448, 585, 1814, 1172, 532, 4540, 2853, 543, 3981, 532, 4244, 4485, 602, 8956, 23141, 543, 8661, 3017, 780, 22013, 1324, 4514, 883, 519, 2078, 1063, 6940, 543, 13784, 267, 2015, 875, 2188, 971, 607, 4199, 14305, 267, 4074, 2175, 267, 543, 2686, 3261, 566, 12969, 609, 2055, 540, 9698, 543, 5126, 269, 1280, 1383, 267, 5466, 2825, 12159, 1419, 3322, 23799, 1026, 5024, 5763, 543, 1379, 2476, 689, 29341, 11051, 945, 13840, 4324, 1034, 689, 7518, 5511, 1949, 269, 6684, 267, 2870, 5963, 8537, 5624, 7569, 4101, 31737, 25327, 543, 7586, 4328, 9739, 12926, 3623, 10642, 610, 16053, 269, 4935, 267, 16042, 6752, 1374, 543, 2029, 998, 513, 7828, 540, 28622, 5849, 602, 3356, 2509, 835, 3804, 1281, 711, 2097, 693, 519, 13258, 540, 1776, 780, 4415, 713, 15398, 1582, 18221, 267, 8399, 547, 2932, 1382, 593, 8037, 5515, 267, 5322, 267, 543, 10124, 14027, 8537, 1374, 1369, 519, 6752, 2872, 269, 2368, 2009, 18817, 585, 3408, 1331, 1384, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 27324, 24110, 476, 277, 268, 1321, 454, 268, 3427, 24285, 454, 310, 514, 513, 24732, 268, 4002, 3163, 14173, 1341, 1269, 1911, 717, 3424, 25890, 2336, 6200, 21624, 29480, 4828, 11762, 585, 8866, 543, 1855, 839, 454, 8196, 707, 1913, 547, 32022, 519, 5467, 563, 25324, 24070, 1603, 568, 835, 540, 1346, 1983, 602, 666, 948, 1053, 8011, 538, 1483, 1272, 269, 29480, 3594, 616, 2147, 547, 12819, 2073, 855, 789, 7048, 1447, 593, 5013, 543, 811, 593, 7553, 547, 32022, 519, 5467, 269, 898, 779, 1271, 547, 917, 707, 5304, 865, 596, 666, 18783, 1022, 4831, 1173, 3701, 789, 1522, 1118, 543, 2119, 547, 7753, 873, 269, 8347, 2542, 930, 21927, 5931, 547, 1397, 3214, 1390, 1806, 540, 6644, 1603, 269, 3973, 946, 891, 10388, 1557, 3584, 585, 2259, 563, 18662, 543, 4065, 29480, 4828, 11762, 454, 16908, 543, 7881, 10388, 1557, 3584, 267, 2257, 543, 2029, 10388, 1557, 3584, 267, 5026, 543, 9913, 10388, 1557, 3584, 267, 1175, 585, 1187, 10388, 1557, 3584, 563, 268, 1684, 596, 1589, 6780, 1058, 581, 2838, 267, 18593, 267, 610, 711, 2016, 693, 782, 888, 268, 4841, 1058, 270, 29019, 711, 581, 2111, 547, 946, 741, 11436, 1282, 519, 521, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 293, 5831, 5071, 543, 5303, 257, 607, 851, 540, 834, 16300, 13493, 1315, 1849, 5847, 1299, 667, 816, 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, 6092, 5149, 281, 16337, 1315, 14418, 1315, 24789, 918, 15351, 268, 11900, 18944, 11470, 692, 296, 269, 4985, 692, 4263, 519, 4295, 540, 24789, 13221, 6013, 519, 2259, 540, 9066, 630, 5633, 268, 7999, 264, 543, 519, 946, 540, 19433, 673, 678, 26680, 1634, 607, 32748, 753, 269, 1452, 32748, 753, 616, 2966, 547, 2736, 998, 7787, 3206, 543, 1291, 547, 8090, 540, 7096, 20185, 267, 5219, 547, 607, 521, 1807, 328, 269, 769, 713, 1576, 1770, 267, 649, 786, 5490, 883, 519, 1158, 540, 24789, 737, 15351, 30816, 5708, 1765, 32173, 1155, 602, 16621, 891, 2609, 547, 4161, 3988, 262, 11994, 543, 28596, 10952, 26126, 269, 1284, 786, 2263, 875, 4589, 8415, 2757, 24789, 10752, 543, 3082, 873, 1369, 4207, 8658, 267, 2870, 6386, 602, 16637, 6671, 9423, 1247, 2502, 2413, 9458, 780, 2862, 269, 8466, 17461, 281, 3245, 3127, 547, 3567, 692, 2414, 1174, 519, 5072, 540, 24789, 737, 15351, 19899, 4310, 3332, 267, 835, 1590, 1101, 5660, 519, 3140, 1646, 540, 24789, 6138, 2066, 1585, 4529, 269, 7880, 3215, 538, 3504, 3127, 607, 851, 540, 10067, 27011, 13221, 267, 24789, 2663, 28953, 547, 3624, 1141, 621, 2968, 26960, 13221, 269, 16828, 23928, 538, 3567, 1282, 519, 21919, 752, 3120, 1974, 630, 14093, 276, 268, 15836, 274, 9460, 1070, 24789, 4797, 547, 11457, 896, 7506, 971, 607, 28001, 626, 543, 25230, 534, 2093, 269, 10801, 922, 3460, 267, 24789, 9738, 922, 8561, 593, 1463, 1995, 543, 16022, 7326, 267, 1419, 6829, 998, 9583, 2192, 16479, 32748, 753, 899, 834, 1432, 568, 519, 3280, 540, 835, 1688, 804, 6260, 12482, 7656, 269, 4197, 24789, 25391, 753, 692, 288, 4909, 2460, 540, 24789, 1353, 3322, 21679, 609, 32748, 753, 1765, 26211, 267, 6939, 545, 6898, 5921, 547, 7519, 9266, 7744, 543, 5000, 16367, 4656, 269, 12465, 32748, 753, 666, 581, 1336, 538, 10070, 971, 607, 519, 9791, 1849, 858, 16680, 543, 631, 636, 517, 16988, 267, 1312, 16432, 676, 9565, 24789, 18544, 269, 1635, 6313, 1896, 1134, 8153, 32748, 753, 267, 649, 786, 10625, 741, 5817, 4798, 543, 2409, 1031, 547, 24905, 548, 12242, 2065, 3206, 269, 1280, 3236, 267, 2015, 519, 1739, 5929, 1383, 1384, 265, 589, 31494, 4280, 2098, 3873, 9926, 17924, 267, 834, 9989, 513, 2915, 723, 17700, 2470, 24350, 313, 3873, 9926, 17924, 14452, 267, 834, 5591, 3010, 1607, 5385, 2591, 938, 26608, 18727, 18765, 827, 1582, 3125, 543, 3961, 267, 18136, 721, 3079, 547, 9784, 519, 7915, 25872, 540, 782, 7919, 269, 3414, 2079, 540, 2147, 32748, 753, 267, 1053, 786, 2744, 606, 7071, 585, 519, 1016, 951, 633, 1379, 540, 891, 5339, 3457, 950, 7471, 883, 14070, 1568, 780, 4353, 269, 12634, 10241, 281, 24789, 918, 15351, 268, 11900, 18944, 11470, 692, 2026, 2518, 1719, 538, 8109, 17035, 9428, 267, 865, 1932, 814, 519, 8560, 540, 24789, 737, 15351, 30816, 5708, 1851, 5375, 3988, 269, 7073, 5830, 2721, 2390, 2757, 24789, 3741, 543, 6451, 873, 883, 3309, 11964, 1519, 9814, 9089, 267, 2257, 5708, 267, 14810, 267, 543, 811, 269, 2368, 8037, 1806, 1331, 1384, 320, 269, 2608, 763, 6489, 268, 10000, 16819, 20048, 1834, 265, 676, 4498, 25431, 631, 3120, 330, 9564, 910, 901, 30642, 3209, 2934, 3875, 8320, 540, 1990, 1794, 523, 630, 572, 730, 9066, 264, 7258, 3197, 945, 18220, 3344, 540, 24789, 6138, 269, 2290, 16502, 13341, 513, 3126, 540, 12357, 2621, 24188, 540, 8106, 737, 15351, 13410, 563, 321, 269, 2608, 306, 852, 9197, 1662, 265, 676, 3026, 531, 5153, 2380, 517, 910, 5590, 538, 513, 29711, 1014, 2104, 13856, 676, 5691, 4641, 2029, 267, 713, 6880, 335, 6064, 4278, 14525, 12857, 670, 10098, 5019, 6782, 626, 12544, 9952, 11360, 518, 4171, 2012, 1612, 3672, 519, 18840, 20200, 531, 5869, 540, 24789, 2984, 269, 1306, 646, 4044, 919, 1950, 3103, 540, 26675, 267, 670, 10098, 24151, 1898, 24789, 7907, 899, 6043, 543, 1033, 16670, 563, 322, 269, 2608, 7922, 785, 2659, 623, 23888, 265, 676, 26304 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5046, 268, 866, 267, 1256, 950, 1004, 1810, 1406, 723, 2589, 563, 5591, 2665, 540, 5046, 268, 866, 3262, 689, 1004, 1510, 2589, 454, 5278, 1004, 7783, 609, 5046, 268, 866, 949, 2760, 723, 1022, 2589, 269, 1677, 4266, 267, 972, 723, 1044, 1100, 9672, 8320, 540, 513, 1268, 609, 5046, 268, 866, 267, 855, 945, 2760, 2919, 2589, 267, 10825, 519, 3644, 269, 898, 1869, 949, 581, 2009, 585, 713, 1826, 540, 3262, 547, 2049, 543, 1434, 9882, 568, 1883, 547, 7303, 713, 563, 268, 595, 965, 610, 14229, 324, 2763, 883, 707, 23969, 610, 676, 8720, 707, 5023, 543, 9224, 609, 8031, 563, 268, 10925, 1031, 8031, 538, 519, 10822, 610, 513, 9126, 5612, 563, 268, 25169, 707, 3946, 609, 12853, 543, 1216, 1419, 630, 1721, 693, 2547, 476, 736, 7643, 1916, 268, 8347, 547, 2057, 2673, 3346, 609, 1004, 945, 616, 796, 6202, 563, 268, 5213, 1406, 5905, 707, 4064, 267, 9224, 610, 5023, 952, 707, 3946, 616, 711, 2973, 563, 268, 3680, 2123, 3346, 267, 971, 607, 21098, 532, 267, 4687, 11680, 610, 1426, 609, 7210, 1004, 563, 268, 11162, 543, 21149, 4749, 20109, 7252, 543, 3615, 267, 971, 607, 798, 1251, 333, 10849, 563, 268, 13773, 1753, 952, 596, 1745, 796, 6202, 563, 268, 11910, 2657, 1467, 593, 476, 24699, 271, 476, 3374, 279, 476, 276, 3393, 274, 952, 596, 723, 1022, 2589, 543, 723, 1044, 5063, 1044, 18246, 610, 723, 1044, 538, 2673, 3346, 609, 2576, 9672, 609, 5046, 268, 866, 563, 10144, 945, 723, 5063, 1044, 18246, 267, 610, 945, 949, 723, 1044, 6534, 547, 5046, 268, 866, 267, 616, 2838, 547, 1582, 268, 18066, 622, 547, 1832, 741, 2950, 2922, 563, 268, 1403, 596, 8452, 538, 1715, 10215, 538, 519, 2063, 476, 1691, 2395, 267, 596, 1058, 1582, 268, 18066, 622, 585, 476, 1691, 2395, 689, 519, 4266, 596, 8977, 539, 519, 2063, 2197, 596, 10272, 563, 268, 1403, 596, 723, 1044, 538, 2673, 3346, 609, 513, 9672, 2013, 540, 5046, 268, 866, 596, 1058, 1582, 268, 18066, 622, 585, 476, 1691, 2395, 689, 519, 4266, 540, 2673, 3346, 563, 2171, 917, 689, 824, 17061, 602, 1582, 28104, 15684, 568, 2500, 267, 543, 1034, 1004, 616, 1434, 693, 5329, 2933, 1107, 543, 1866, 1107, 2922, 543, 1134, 269, 1677, 1265, 856, 811, 267, 1294, 938, 8682, 28104, 15684, 4199, 563, 5415, 1344, 585, 17066, 540, 2665, 538, 1715, 10215, 568, 2139, 693, 13555, 16439, 585, 5046, 268, 866, 563, 4322, 4808, 616, 711, 513, 2182, 543, 3728, 4341, 543, 786, 581, 8242, 607, 543, 950, 2417, 2963, 3587, 2139, 563, 763, 1883, 24572, 540, 5046, 268, 866, 4742, 513, 4049, 4576, 568, 519, 6228, 540, 5817, 2564, 2175, 267, 2523, 952, 891, 2175, 616, 711, 1134, 6417, 269, 31999, 2175, 1331, 912, 268, 3978, 7929, 2068, 971, 607, 5312, 5761, 2068, 610, 9793, 547, 4049, 10447, 3248, 268, 3978, 2295, 2175, 3248, 268, 6375, 665, 20234, 668, 2213, 2175, 454, 268, 1082, 2175, 666, 2014, 513, 1268, 547, 581, 6375, 665, 20234, 668, 2213, 267, 1519, 2860, 2126, 267, 7296, 1644, 4576, 267, 5642, 20768, 610, 1418, 24328, 267, 688, 14670, 11043, 683, 21182, 916, 267, 4761, 19518, 267, 14605, 6417, 7486, 610, 15978, 267, 543, 12675, 946, 540, 29416, 8803, 6950, 543, 824, 4761, 4617, 2287, 6527, 630, 7945, 607, 2068, 21524, 4328, 4550, 8573, 515, 9964, 5061, 11850, 268, 4049, 8377, 630, 7853, 2527, 4994, 1496, 289, 11085, 316, 540, 476, 2412, 610, 2362, 11850, 268, 5312, 8459, 2068, 267, 1004, 18460, 31533, 282, 543, 454, 268, 6797, 2068, 563, 17829, 936, 476, 3583, 281, 24771, 1004, 267, 538, 1880, 1346, 945, 723, 5817, 1072, 2152, 267, 1519, 7929, 2152, 602, 1118, 873, 811, 7925, 547, 5046, 268, 866, 563, 4910, 6342, 540, 9907, 1416, 6703, 281, 589, 3022, 1416, 6703, 616, 11630, 547, 519, 4028, 6771, 540, 8290, 899, 713, 269, 1763, 6342, 616, 811, 11630, 547, 10108, 1813, 547, 741, 2085, 543, 789, 616, 849, 811, 2693, 547, 723, 5817, 1072, 2175, 563, 303, 27389, 656, 2021, 281, 2657, 4966, 798, 711, 2943, 917, 952, 9176, 2021, 616, 12936, 676, 5046, 268, 866, 538, 519, 1482, 1259, 607, 824, 1004, 269, 1717, 267, 9176, 2021, 1995, 2242, 538, 741, 4703, 602, 949, 2333, 741, 1981, 689, 930, 5563, 563, 2005, 568, 1863, 543, 2139, 476, 2190, 3108, 513, 1554, 267, 476, 278, 2395, 513, 3018, 563, 10144, 10912, 602, 1899, 786, 581, 2111, 547, 2911, 609, 513, 4759, 540, 519, 2817, 17791, 8234, 6796, 269, 1358, 723, 1569, 547, 3705, 1562, 563, 2791, 1058, 1289, 602, 6131, 1297, 912, 268, 547, 11578, 952, 596, 723, 1582, 268, 18066, 730, 3054, 454, 268, 585, 1022, 11452, 1072, 5796, 543, 1344, 543, 1022, 2055, 596, 723, 827, 11452, 267, 1582, 28104, 15684, 3092, 563, 10890, 1467, 779, 1292, 1297, 568, 1869, 519, 835, 547, 1289, 585, 1875, 2275, 528, 517, 8785, 1072, 4145, 1107, 476, 24699, 271, 476, 277, 1556, 476, 14138, 563, 2662, 31295, 1297, 596, 1289, 267, 596, 786, 1205, 3318, 1072, 5796, 543, 1344, 563, 25387, 267, 972, 568, 1100, 1808, 2126, 585, 11452, 267, 855, 2564, 1416, 666, 1521, 1034, 540, 519, 2589, 563, 2026, 713, 568, 513, 1007, 3644, 267, 972, 568, 4867, 1100, 6669, 2139, 269, 12824, 616, 538, 519, 2038, 5933, 540, 3384, 835, 563, 763, 12080, 540, 14579, 16457, 543, 11780, 568, 3246, 519, 5767, 5796, 585, 2951, 6840, 593, 519, 15822, 13488, 3896, 563, 2690, 811, 1344, 1294, 912, 5978, 1514, 2923, 912, 268, 9365, 2985, 281, 7711, 2381, 8234, 333, 345, 454, 268, 12108, 8756, 7711, 2381, 8234, 333, 345, 454, 2171, 786, 581, 1210, 891, 9055, 547, 10332, 1004, 547, 1883, 10311, 543, 20261, 4481, 827, 5046, 268, 866, 269, 0, 2704, 8224, 673, 9980, 1845, 281, 681, 454, 15869, 6333, 5402, 950, 14045, 2436, 547, 2697, 1004, 676, 5198, 269, 10705, 267, 621, 568, 606, 13061, 3815, 543, 5373, 11991, 3007, 547, 2576, 779, 5198, 610, 14940, 666, 581, 14648, 607, 2462, 582, 787, 269, 1703, 616, 267, 2705, 267, 14026, 950, 5198, 568, 22317, 912, 268, 1879, 10503, 1713, 267, 14262, 610, 8978, 2621, 630, 306, 8205, 590, 582, 558, 599, 528, 568, 519, 1101, 17104, 5126, 540, 519, 772, 2529, 269, 10966, 7040, 994, 268, 1879, 10503, 2168, 4162, 540, 513, 14353, 267, 7508, 1268, 610, 538, 1022, 824, 2013, 950, 3308, 1541, 13294, 616, 3730, 630, 21691, 823, 616, 3168, 585, 513, 812, 4330, 607, 3043, 267, 827, 476, 277, 3952, 7381, 267, 609, 3109, 4552, 543, 4544, 4064, 267, 9849, 513, 726, 4660, 25099, 994, 268, 1879, 10503, 513, 17431, 267, 19717, 610, 824, 4655, 5473, 5198, 630, 10175, 11913, 7526, 1070, 610, 7234, 2152, 899, 3540, 2924, 563, 1103, 782, 824, 3871, 267, 1331, 7292, 610, 6803, 3877, 1152, 950, 789, 616, 5693, 4143, 543, 602, 10083, 568, 8763, 538, 519, 1650, 269, 1684, 711, 946, 513, 3541, 690, 2218, 2165, 4849, 538, 4686, 6381, 950, 621, 568, 2629, 547, 519, 3988, 685, 1620, 540, 606, 2680, 610, 3510, 1373, 5941, 269, 6423, 849, 519, 3084, 885, 543, 14797, 7127, 563, 3336, 13159, 569, 2697, 513, 4087, 676, 1519, 519, 2679, 2012, 543, 519, 4055, 781, 1297, 630, 514, 5515, 2567, 595, 1195, 330, 754, 718, 3163, 8490, 476, 13975, 267, 17976, 4741, 476, 9083, 269, 1684, 711, 946, 519, 2262, 834, 3336, 257, 4849, 538, 4686, 2665, 281, 9906, 5742, 5564, 760, 17123, 18740, 269, 630, 11372, 760, 17123, 568, 835, 2262, 264, 0, 294, 9790, 6199, 16836, 568, 835, 540, 519, 2947, 28151, 540, 519, 17389, 577, 1084, 7322, 21246, 1275, 543, 835, 540, 1079, 602, 723, 15068, 12873, 2394, 519, 1459, 1554, 269, 634, 14500, 14629, 814, 1044, 20948, 2094, 519, 32665, 11270, 269, 1488, 3832, 1670, 2007, 338, 723, 20114, 1896, 22300, 818, 974, 30440, 267, 1519, 519, 476, 1321, 9492, 9370, 13153, 717, 9790, 6199, 19562, 710, 267, 1631, 593, 4159, 538, 519, 17389, 577, 1084, 7322, 2817, 7467, 563, 294, 9790, 6199, 16836, 3459, 922, 6228, 607, 513, 10120, 5939, 543, 28200, 593, 513, 14629, 9008, 269, 769, 519, 2038, 476, 1321, 628, 2540, 267, 519, 28200, 729, 23545, 539, 543, 519, 6830, 2305, 540, 519, 5449, 5939, 2497, 1185, 7444, 3459, 609, 519, 1840, 540, 513, 8258, 3774, 267, 8108, 513, 2241, 267, 10199, 9764, 1832, 269, 4438, 519, 476, 1321, 628, 2540, 267, 1896, 23937, 4553, 267, 538, 1880, 519, 5137, 540, 519, 1292, 13486, 607, 513, 7299, 10137, 540, 519, 4540, 1832, 269, 13536, 593, 267, 519, 13486, 729, 856, 325, 1243, 609, 5789, 331, 976, 269, 634, 1101, 2854, 2594, 540, 519, 14500, 781, 2012, 2501, 689, 476, 15782, 277, 269, 769, 519, 476, 1321, 628, 543, 2038, 476, 1724, 628, 2540, 267, 519, 14500, 729, 538, 519, 9562, 540, 519, 561, 3581, 540, 17793, 340, 28086, 267, 513, 15626, 2777, 689, 519, 18230, 18085, 517, 540, 3400, 889, 6686, 526, 523, 269, 2991, 519, 2669, 540, 26081, 5341, 13153, 17793, 340, 29118, 538, 476, 14530, 275, 267, 519, 14500, 2968, 519, 3959, 540, 519, 5600, 540, 670, 11274, 7921, 269, 898, 729, 1287, 1031, 5097, 585, 1368, 8973, 519, 8473, 4133, 1063, 519, 2199, 670, 11274, 7921, 24804, 11182, 543, 519, 3283, 10362, 547, 519, 4830, 18230, 18085, 976, 563, 4263, 519, 2490, 540, 519, 476, 1428, 628, 2540, 267, 519, 14500, 23384, 3573, 1007, 4070, 1568, 607, 851, 540, 606, 11036, 676, 10513, 4936, 14890, 7665, 574, 27482, 594, 547, 7816, 519, 3441, 1102, 21719, 2390, 519, 14500, 676, 513, 26362, 538, 476, 14983, 280, 267, 1282, 519, 4210, 629, 1014, 2782, 269, 717, 9790, 6199, 16836, 22234, 513, 2721, 8822, 2394, 476, 14631, 278, 267, 950, 519, 3926, 729, 8697, 676, 7088, 543, 1185, 547, 581, 24905, 1194, 267, 2760, 11543, 513, 10682, 269, 4438, 519, 476, 1704, 628, 543, 476, 1240, 628, 2540, 267, 519, 14500, 4503, 1034, 540, 922, 4108, 3483, 543, 729, 8697, 676, 1896, 11642, 269, 898, 729, 1869, 1373, 1031, 607, 513, 15335, 1472, 476, 11260, 271, 269, 2991, 513, 3595, 538, 476, 9692, 276, 602, 7494, 8697, 7195, 345, 619, 267, 519, 14500, 21219, 941, 1031, 607, 513, 2707, 540, 2679, 1570, 585, 519, 16646, 540, 519, 4884, 269, 634, 14500, 729, 12349, 543, 5594, 30465, 676, 519, 4884, 538, 476, 9264, 275, 267, 1287, 4421, 538, 476, 6977, 275, 547, 27959, 30686, 529, 6390, 13153, 17389, 577, 1084, 7322, 563, 763, 14500, 4607, 513, 8101, 11808, 1063, 476, 5002, 276, 543, 476, 4489, 273, 267, 896, 519, 15569, 540, 966, 611, 15120, 23899, 4056, 661, 12455, 28039, 514, 31000, 267, 922, 1007, 8227, 269, 901, 11808, 3773, 513, 1906, 1007, 3889, 543, 5656, 547, 519, 2539, 2694, 540, 519, 14500, 630, 5408, 2666, 1544, 538, 8100, 3296, 585, 811, 3877, 1040, 2991, 28039, 514, 31000, 781, 2669, 538, 476, 4350, 277, 267, 519, 14500, 729, 10519, 539, 676, 519, 29109, 585, 1585, 2621, 543, 14538, 267, 2394, 621, 729, 6035, 585, 9042, 538, 476, 4198, 272, 269, 769, 476, 3192, 280, 267, 519, 14500, 729, 12349, 676, 519, 10988, 760, 1275, 540, 17389, 577, 1084, 7322, 585, 1533, 543, 9754, 5301, 269, 1717, 267, 519, 2063, 540, 519, 5449, 4357, 5411, 4371, 1200, 15110, 2924, 547, 519, 3110, 2787, 540, 519, 14500, 2394, 1200, 2669, 538, 476, 1220, 272, 563, 763, 22678, 13704, 540, 519, 14500, 568, 1930, 547, 8436, 1863, 540, 5279, 782, 1032, 5180, 269, 634, 14500, 781, 32724, 543, 9782, 4677, 267, 18949, 539, 538, 476, 1001, 271, 267, 616, 3015, 1863, 540, 5279, 538, 519, 4832, 15805, 4005, 269, 2871, 3660, 19150, 540, 717, 9790, 6199, 16836, 543, 922, 10519, 532, 585, 12311, 26204, 543, 2686, 2621, 616, 2139, 1152, 1282, 519, 4832, 15805, 4005, 543, 991, 547, 581, 11231, 538, 4434, 676, 13393, 269, 27066, 912, 763, 17833, 9926, 3873, 5939, 540, 29513, 16907, 529, 543, 717, 30503, 568, 519, 9510, 31607, 2497, 538, 670, 16967, 3534, 269, 898, 568, 519, 1152, 17005, 15224, 540, 3504, 4563, 31089, 1156, 1014, 6189, 267, 13747, 689, 824, 18179, 13039, 676, 30508, 946, 540, 4874, 577, 4435, 1795, 9643, 10007, 540, 4544, 267, 3039, 610, 2699, 512, 842, 799, 1223, 581, 11231, 547, 1106, 22613, 610, 824, 5515, 593, 519, 3774, 563, 763, 5939, 568, 513, 3444, 1673, 15701, 2679, 6462, 676, 3670, 9764, 22225, 269, 634, 3544, 568 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 15939, 267, 2271, 328, 267, 543, 623, 778, 600, 4821, 267, 891, 2984, 7618, 721, 540, 519, 2956, 540, 4509, 10103, 1063, 3425, 543, 2470, 1247, 14120, 2686, 6561, 269, 1306, 596, 3136, 3695, 8479, 16989, 27140, 5059, 593, 4984, 543, 6805, 10723, 2984, 267, 1832, 606, 1930, 2247, 543, 9784, 519, 5898, 540, 4763, 1336, 1369, 1142, 2245, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 8624, 3005, 12025, 281, 476, 275, 267, 8517, 266, 5292, 6979, 454, 763, 570, 11403, 299, 1875, 27395, 4015, 2882, 1568, 540, 15923, 2854, 585, 513, 1453, 610, 1762, 2937, 5304, 630, 26078, 1041, 547, 476, 1321, 628, 3446, 1040, 1323, 6221, 568, 2808, 513, 960, 540, 1875, 27395, 952, 519, 2278, 779, 8247, 568, 547, 9446, 1483, 610, 23610, 1344, 267, 4352, 2278, 12886, 949, 1869, 2291, 269, 11872, 543, 2200, 616, 2178, 10832, 602, 606, 6221, 568, 1875, 27395, 538, 2470, 269, 7734, 5627, 10070, 540, 9954, 630, 10175, 30053, 543, 6586, 2719, 3756, 264, 610, 18691, 616, 849, 2808, 1875, 27395, 563, 14399, 543, 1762, 2937, 15923, 10643, 616, 3769, 538, 519, 570, 11403, 299, 4015, 585, 3872, 5301, 1519, 6437, 3498, 267, 5467, 3961, 1646, 267, 12190, 6139, 8427, 3096, 267, 543, 547, 3895, 519, 2648, 540, 2542, 563, 763, 570, 11403, 299, 1193, 1161, 547, 1711, 8537, 10070, 799, 2992, 513, 2647, 2039, 540, 2984, 267, 5468, 267, 543, 3584, 4143, 547, 519, 3309, 9163, 543, 2115, 540, 519, 623, 268, 1321, 1053, 538, 938, 2950, 907, 5016, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 4517, 6756, 15328, 17443, 543, 19088, 1108, 257, 607, 851, 540, 834, 28765, 22723, 13493, 1315, 15215, 1315, 7087, 1315, 29042, 12267, 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, 7170, 281, 1133, 30584, 532, 6732, 31981, 281, 589, 7913, 23618, 633, 781, 6651, 692, 7072, 912, 8702, 547, 519, 13858, 1158, 540, 2228, 13655, 256, 1306, 27503, 3059, 3713, 1161, 267, 621, 781, 2629, 602, 649, 1451, 875, 547, 6330, 519, 4950, 1247, 5329, 6000, 2922, 543, 5150, 269, 2290, 1271, 2460, 540, 1373, 513, 3743, 2121, 714, 523, 568, 1620, 875, 938, 2123, 1344, 568, 6394, 543, 1031, 269, 4653, 267, 649, 786, 2263, 1114, 2081, 7270, 5531, 1239, 543, 4983, 1946, 789, 798, 865, 269, 1284, 786, 849, 5490, 883, 930, 4081, 1382, 4478, 891, 2853, 543, 3605, 2994, 547, 2226, 938, 2228, 7834, 269, 1924, 10544, 707, 19792, 22970, 543, 1577, 781, 4685, 883, 519, 4241, 7706, 540, 2228, 3354, 2439, 4089, 594, 281, 11814, 532, 2659, 4578, 910, 11374, 519, 1849, 1132, 454, 2691, 596, 1129, 909, 585, 606, 2228, 3760, 899, 513, 1514, 2923, 3135, 610, 513, 3381, 1476, 17182, 813, 971, 607, 11809, 636, 340, 267, 596, 616, 4280, 547, 1711, 606, 2272, 609, 1585, 4773, 540, 1344, 269, 901, 1223, 2039, 689, 707, 2012, 543, 2085, 547, 4757, 9607, 543, 6049, 2338, 269, 1635, 3257, 865, 267, 596, 4734, 3297, 10881, 602, 948, 3549, 21160, 741, 17008, 1759, 593, 707, 7375, 269, 2913, 781, 1294, 1018, 2186, 540, 10881, 1522, 581, 15720, 538, 10750, 8289, 1282, 14261, 1384, 7078, 281, 5994, 19142, 909, 585, 513, 1007, 3381, 1476, 17182, 1907, 1572, 20821, 300, 622, 269, 4438, 519, 14261, 1184, 267, 596, 7237, 4610, 31392, 3877, 899, 912, 268, 9509, 8745, 454, 268, 19478, 17372, 454, 268, 2776, 31084, 10426, 5320, 454, 268, 25439, 7089, 454, 268, 11261, 540, 17510, 454, 268, 13474, 19715, 692, 10376, 4062, 540, 16761, 1344, 5713, 513, 3483, 269, 1280, 3236, 267, 3246, 707, 2407, 2012, 2636, 824, 3755, 547, 2697, 596, 3362, 1369, 11401, 269, 11531, 267, 4687, 707, 4266, 540, 4332, 949, 12260, 1569, 547, 14512, 829, 802, 6035, 676, 20821, 300, 622, 269, 1717, 267, 13031, 1932, 1454, 6213, 1239, 814, 922, 4220, 282, 4061, 267, 1565, 950, 547, 2671, 543, 950, 547, 3180, 1394, 3587, 1898, 780, 12244, 281, 17291, 15822, 19457, 13756, 454, 4131, 781, 5659, 1142, 2361, 1927, 543, 3313, 952, 621, 781, 2556, 547, 2671, 519, 16761, 1344, 1384, 17359, 8745, 281, 9523, 1152, 707, 1101, 2012, 610, 3355, 338, 3079, 540, 707, 3003, 2012, 585, 3106, 4128, 563, 10387, 841, 17372, 281, 8073, 513, 2189, 4757, 2232, 4481, 585, 2228, 6589, 796, 15062, 539, 547, 707, 3119, 835, 563, 7093, 31084, 10426, 5320, 281, 11408, 3442, 2178, 18538, 5627, 26627, 27664, 5022, 267, 27608, 5022, 267, 6698, 267, 543, 2338, 269, 6333, 1210, 513, 6325, 10957, 9614, 585, 3773, 4027, 563, 17490, 7089, 281, 8838, 856, 540, 12607, 3151, 707, 1297, 8259, 11613, 2838, 269, 5502, 267, 2015, 13844, 513, 1863, 27215, 7709, 630, 309, 4069, 936, 5769, 16257, 264, 1297, 14311, 585, 2228, 2238, 563, 14630, 540, 17510, 281, 5901, 707, 4332, 11845, 4357, 8164, 2009, 269, 17793, 644, 9094, 1419, 17908, 713, 1469, 585, 3961, 17403, 5301, 563, 15575, 787, 19715, 281, 32672, 2718, 2489, 4087, 2337, 5867, 11126, 942, 10851, 543, 2303, 22297, 2934, 855, 31831, 689, 4758, 1808, 2749, 610, 4884, 4408, 780, 3528, 1739, 891, 4808, 267, 596, 2327, 602, 707, 3838, 10881, 2611, 8766, 2943, 7850, 585, 5347, 5872, 609, 1866, 593, 20821, 300, 622, 780, 6962, 912, 1103, 2221, 781, 10562, 1158, 267, 7863, 938, 2123, 1344, 3340, 3586, 28858, 543, 4656, 269, 4197, 875, 7270, 2445, 543, 8415, 938, 1239, 16877, 721, 547, 16102, 938, 7834, 3927, 269, 15012, 721, 1985, 942, 607, 649, 3136, 3695, 811, 3344, 540, 2228, 11739, 583, 3107, 267, 4180, 596, 1831, 513, 8746, 6880, 12504, 4712, 547, 10994, 8726, 2501, 707, 1259, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 8923, 1224, 543, 1174, 713, 8889, 5402, 1354, 596, 946, 519, 11809, 636, 340, 1587, 610, 3028, 269, 4495, 596, 1376, 1210, 513, 11809, 636, 340, 1587, 610, 3028, 267, 596, 4628, 1174, 543, 3858, 547, 713, 3609, 269, 1403, 596, 723, 1022, 2243, 610, 19583, 827, 519, 9115, 540, 713, 3609, 610, 1644, 2152, 267, 596, 666, 3346, 721, 998, 519, 476, 278, 265, 1321, 3108, 6075, 3028, 3905, 1467, 630, 6110, 268, 18089, 268, 2568, 277, 277, 1916, 272, 269, 1215, 649, 2445, 707, 2123, 1344, 454, 273, 269, 1215, 649, 946, 707, 2123, 1344, 454, 274, 269, 1215, 649, 2149, 707, 2123, 1344, 454, 275, 269, 1215, 649, 2149, 519, 7834, 540, 1295, 832, 563, 276, 269, 15329, 725, 540, 4031, 543, 6042, 676, 3755, 563, 278, 269, 1215, 547, 3346, 721, 563, 296, 269, 14635, 540, 9608, 6176, 454, 272, 269, 272, 14871, 32310, 454, 272, 264, 21362, 1229, 10055, 281, 2311, 1101, 596, 991, 547, 11578, 606, 2272, 607, 513, 11809, 636, 340, 3593, 547, 946, 519, 2533, 649, 1683, 585, 596, 267, 1519, 3381, 1476, 17182, 267, 10554, 10912, 267, 8384, 2661, 13739, 338, 267, 4259, 909, 2123, 2232, 1433, 267, 10004, 1154, 267, 2870, 2516, 267, 3092, 269, 547, 3035, 2792, 3252, 269, 1879, 11578, 532, 267, 596, 991, 547, 1683, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 10907, 27854, 270, 10932, 15369, 27405, 625, 257, 607, 851, 540, 834, 11227, 1315, 25491, 1299, 23618, 633, 1315, 6468, 590, 548, 3578, 338, 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, 18181, 20081, 1963, 23293, 1362, 256, 4653, 267, 649, 2811, 2469, 547, 1451, 827, 9255, 17553, 18264, 22761, 269, 901, 1522, 3100, 899, 513, 16681, 2165, 267, 855, 1810, 1405, 5855, 910, 621, 781, 1175, 513, 1259, 540, 25786, 1919, 593, 707, 3349, 950, 596, 3548, 269, 1635, 1739, 891, 2241, 3652, 267, 649, 666, 1397, 2463, 585, 6000, 267, 938, 1426, 267, 543, 1866, 693, 519, 3349, 269, 2913, 781, 1205, 3323, 2439, 5331, 596, 616, 16475, 513, 12129, 5428, 609, 930, 2828, 269, 1411, 1616, 873, 547, 1745, 10950, 267, 6899, 267, 543, 9599, 547, 2972, 741, 7594, 269, 1677, 1711, 713, 5790, 267, 1246, 891, 3268, 547, 1305, 519, 3501, 1747, 4259, 1384, 3721, 476, 272, 281, 7994, 2659, 17934, 454, 16521, 513, 6676, 602, 13352, 1134, 1369, 707, 3349, 2230, 269, 1280, 4948, 18226, 267, 946, 513, 1507, 19997, 6676, 630, 19925, 476, 278, 6279, 264, 610, 513, 3677, 12129, 6676, 630, 12671, 476, 280, 268, 1556, 6279, 1040, 1403, 7674, 2789, 6030, 267, 1376, 609, 513, 4130, 6676, 543, 5372, 621, 609, 513, 8273, 835, 2899, 2877, 780, 3721, 476, 273, 281, 5410, 7780, 839, 2812, 454, 299, 599, 856, 27022, 2687, 547, 1018, 789, 786, 581, 1031, 585, 1282, 519, 7594, 269, 13575, 267, 960, 689, 519, 3544, 2509, 519, 4099, 269, 1280, 802, 979, 547, 519, 2451, 540, 519, 6676, 1247, 31009, 543, 838, 9398, 1694, 547, 922, 1318, 282, 2141, 1747, 519, 17180, 14191, 547, 519, 6676, 609, 922, 5969, 6316, 6849, 538, 2072, 269, 1879, 1210, 17339, 838, 9398, 267, 2990, 873, 9663, 1492, 560, 2476, 689, 519, 6676, 780, 3721, 476, 274, 281, 19371, 2264, 1299, 595, 5725, 454, 10908, 13293, 4866, 593, 519, 5580, 1318, 2427, 540, 519, 6676, 269, 15380, 267, 972, 1131, 581, 1079, 14296, 281, 835, 585, 1216, 543, 1776, 585, 9174, 269, 24334, 11680, 610, 544, 13903, 949, 849, 6443, 952, 6039, 7258, 6980, 269, 5901, 11680, 5594, 6306, 689, 1142, 824, 543, 21266, 1540, 25241, 958, 20733, 780, 3721, 476, 275, 281, 13845, 7219, 18903, 454, 293, 1245, 707, 23040, 7219, 28426, 883, 555, 8674, 610, 3368, 543, 2482, 621, 2901, 22290, 519, 23643, 4433, 264, 610, 593, 1283, 540, 519, 6676, 269, 1133, 325, 13783, 543, 11093, 519, 23040, 7219, 5196, 561, 2355, 6786, 22026, 585, 4189, 269, 5457, 267, 2760, 512, 3089, 513, 23040, 7219, 883, 7802, 2458, 1513, 8259, 11504, 513, 6101, 2680, 971, 607, 1533, 7333, 638, 1115, 780, 3721, 476, 276, 281, 29968, 1299, 19643, 11146, 454, 2252, 5356, 3694, 1354, 1292, 8286, 267, 1683, 513, 5094, 3694, 6676, 17479, 1657, 519, 585, 802, 2059, 609, 7423, 3262, 619, 5116, 23276, 2066, 519, 5580, 7944, 540, 519, 3694, 6676, 780, 3721, 476, 277, 281, 667, 17143, 5548, 2074, 454, 2690, 28916, 8506, 2759, 331, 2044, 267, 4734, 2614, 4055, 1063, 10824, 543, 4837, 2264, 585, 3063, 8988, 2264, 269, 20233, 873, 6252, 547, 519, 1292, 8670, 6366, 2264, 13902, 569, 1657, 519, 12129, 6676, 780, 3086, 1577, 781, 1449, 707, 1007, 1983, 256, 5994, 3054, 9361, 1524, 693, 513, 18991, 11231, 3349, 24224, 609, 32727, 696, 1190, 8286, 7996, 547, 581, 1821, 10696, 269, 2052, 596, 2697, 1141, 1142, 6221, 12851, 1759, 593, 2221, 781, 3992, 286, 2060, 2259, 267, 13215, 7515, 7870, 3587, 2034, 2470, 269, 1924, 10544, 1346, 10824, 543, 27022, 267, 543, 6126, 18226, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21202, 327, 9811, 267, 649, 3314, 602, 1032, 269, 932, 6064, 2280, 1223, 1491, 593, 782, 535, 3996, 256, 1656, 713, 729, 519, 1267, 269, 589, 476, 8182, 266, 2985, 547, 1889, 6131, 547, 519, 10782, 13164, 649, 8910, 2479, 2938, 1685, 2661, 269, 13259, 267, 519, 8585, 345, 7901, 16784, 719, 2689, 269, 1656, 945, 1223, 7340, 519, 5213, 16410, 718, 3266, 4663, 19701, 286, 31598, 835, 540, 519, 1655, 4773, 540, 4224, 19761, 2479, 8149, 547, 1957, 543, 649, 2461, 711, 6031, 602, 1317, 621, 729, 538, 932, 6064, 2280, 269, 898, 1175, 568, 563, 763, 8909, 3377, 568, 602, 782, 519, 6119, 585, 713, 3390, 941, 3144, 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 ]
[ 0, 272, 269, 13772, 519, 1383, 476, 273, 269, 24135, 1287, 7148, 707, 2012, 476, 274, 269, 2422, 519, 1907, 547, 2490, 519, 5022, 1318, 2427, 909, 543, 1394, 593, 519, 15808, 476, 275, 269, 8347, 547, 2322, 519, 5022, 538, 1931, 476, 276, 269, 24135, 543, 946, 519, 1907, 547, 7148, 543, 1224, 1142, 4484, 593, 519, 15808, 476, 277, 269, 24135, 519, 547, 2022, 707, 960, 454, 25582, 476, 275, 281, 5753, 1058, 723, 6266, 540, 2833, 607, 4891, 543, 538, 1507, 2516, 609, 22392, 3854, 5022, 610, 3854, 4484, 6486, 676, 1166, 6235, 543, 7432, 873, 1318, 2427, 909, 543, 8380, 519, 5022, 538, 1931, 1210, 513, 2203, 269, 1280, 661, 17247, 610, 1053, 17596, 1489, 267, 946, 6486, 602, 723, 513, 1665, 693, 519, 1283, 2451, 7944, 543, 8231, 958, 5401, 1141, 519, 1665, 568, 547, 948, 1453, 1174, 2990, 269, 1280, 23918, 267, 2307, 1053, 547, 2161, 519, 4484, 4992, 1310, 2012, 519, 5022, 269, 0, 19400, 519, 1650, 281, 22067, 2201, 267, 14175, 256, 676, 27239, 31928, 572, 3367, 519, 1433, 281, 14175, 344, 16661, 17963, 676, 31656, 25347, 6199, 11473, 281, 898, 781, 681, 8724, 267, 898, 781, 623, 28666, 11314, 281, 681, 8724, 645, 1846, 543, 29838, 338, 256, 1411, 1522, 723, 4862, 519, 6031, 267, 968, 2005, 779, 986, 1456, 7314, 543, 5243, 1848, 1403, 596, 1223, 1118, 621, 4764, 1022, 1079, 1919, 596, 4941, 267, 1018, 1131, 596, 3442, 286, 3040, 3503, 827, 707, 2027, 4764, 10445, 269, 1548, 1131, 581, 9991, 689, 519, 12269, 543, 1946, 286, 3040, 8571, 513, 4605, 540, 621, 269, 0, 25542, 25817, 568, 711, 513, 4628, 6462, 11422, 269, 1280, 519, 1655, 1995, 267, 5225, 946, 24904, 610, 32288, 2135, 563, 20524, 2549, 328, 2806, 2449, 517, 781, 4928, 2238, 547, 8300, 543, 4497, 707, 1053, 454, 17220, 3427, 540, 918, 21531, 578, 267, 700, 639, 2088, 10815, 518, 12996, 27215, 643, 3941, 1222, 12813, 454, 21196, 476, 280, 7647, 2880, 4804, 630, 12892, 5525, 2558, 1662, 1299, 27822, 994, 313, 334, 1108, 281, 1215, 1684, 12292, 5269, 4256, 23467, 630, 7069, 20712, 3163, 994, 313, 334, 1108, 281, 1215, 1684, 1411, 4855, 12292, 538, 519, 28418, 630, 7069, 20712, 3163, 994, 11900, 335, 790, 707, 1053, 547, 798, 741, 1655, 454, 18439, 5215, 540, 4116, 2389, 6479, 4928, 2238, 547, 4497, 707, 1053, 543, 4688, 596, 942, 563, 14294, 5455, 5131, 454, 289, 12864, 15858, 11242, 454, 7476, 519, 2561, 0, 4263, 519, 8998, 540, 22123, 13804, 1380, 517, 779, 2034, 3209, 6013, 835, 540, 519, 6574, 905, 1846, 538, 3540, 4702, 1282, 519, 16972, 2085, 269, 634, 4070, 540, 606, 19782, 1190, 10325, 540, 12992, 267, 6864, 9254, 551, 338, 543, 22376, 1182, 689, 700, 5255, 15576, 9068, 538, 519, 570, 1484, 778, 338, 782, 519, 1259, 547, 29161, 547, 3761, 2973, 1216, 689, 519, 13677, 4400, 4133, 547, 519, 4057, 543, 964, 25544, 2713, 538, 2695, 19981, 2175, 538, 519, 2749, 779, 512, 2940, 618, 7161, 269, 4706, 2832, 568, 519, 6604, 540, 2417, 26601, 5028, 17061, 899, 1346, 540, 476, 8146, 273, 543, 476, 7277, 279, 799, 7166, 1472, 4557, 8536, 1004, 538, 29161, 4805, 543, 1082, 811, 3564, 621, 563, 763, 715, 12764, 4132, 568, 513, 9661, 540, 1134, 21503, 3140, 5708, 4904, 609, 3875, 4583, 5515, 267, 971, 607, 5261, 3627, 5839, 638, 1941, 24419, 710, 630, 9264, 271, 1107, 476, 6942, 273, 1070, 513, 3540, 543, 7344, 11653, 609, 513, 21318, 540, 824, 15421, 267, 8151, 689, 22301, 547, 22459, 267, 21917, 543, 10564, 269, 4033, 3197, 1331, 10348, 15117, 543, 1200, 9393, 267, 13584, 15751, 269, 4746, 1818, 5618, 23079, 616, 9478, 700, 3563, 630, 9264, 278, 1107, 476, 4489, 273, 1070, 513, 3119, 22082, 538, 519, 1646, 540, 1884, 1047, 10364, 6391, 267, 543, 1010, 7385, 267, 3397, 5886, 563, 763, 8783, 3140, 4137, 538, 519, 3209, 267, 2705, 267, 568, 7917, 17340, 651, 630, 13932, 275, 1107, 476, 15433, 273, 1070, 513, 13677, 14012, 543, 12563, 3271, 626, 945, 5030, 476, 8182, 1296, 4505, 543, 5747, 10393, 538, 12357, 6381, 269, 898, 568, 1472, 1010, 31272, 30970, 602, 13804, 1380, 517, 568, 693, 1200, 1034, 3860, 267, 14139, 14810, 267, 10828, 543, 519, 16750, 547, 2995, 1200, 1650, 269, 10815, 15069, 267, 547, 930, 3988, 5310, 267, 13804, 1380, 517, 30172, 930, 540, 519, 13513, 9956, 1031, 538, 1010, 13249, 18792, 267, 595, 2096, 321, 5202, 269, 16684, 10530, 689, 519, 1404, 840, 2183, 1142, 540, 519, 3209, 779, 2947, 2694, 267, 971, 607, 968, 301, 5847, 2192, 2097, 2282, 26899, 892, 543, 968, 293, 792, 1100, 811, 519, 3002, 522, 685, 519, 3141, 9731, 7804, 269, 12138, 589, 2273, 568, 519, 2564, 812, 6964, 676, 519, 15278, 540, 29161, 4826, 4103, 547, 1413, 1310, 519, 1072, 540, 519, 8030, 543, 562, 822, 341, 625, 1025, 8463, 998, 519, 4224, 540, 519, 10239, 1472, 700, 5255, 15576, 9068, 267, 18413, 12992, 543, 2679, 6864, 9254, 551, 338, 543, 5665, 5867, 269, 3571, 1762, 7385, 267, 1772, 8475, 267, 814, 19385, 14688, 2451, 3297, 1200, 1025, 663, 267, 855, 22150, 1272, 840, 31039, 676, 6752, 543, 575, 1601, 760, 269, 12846, 20494, 1324, 585, 519, 5722, 9002, 1352, 814, 26674, 3072, 267, 1352, 568, 1631, 9176, 609, 1200, 21632, 1126, 269, 28214, 1964, 1652, 538, 1200, 1007, 10450, 1352, 3217, 547, 887, 5446, 519, 1858, 1472, 700, 5255, 15576, 9068, 543, 7404, 700, 5255, 932, 517, 269, 15531, 4313, 538, 19551, 1200, 1869, 9799, 12256, 267, 13804, 1380, 517, 11339, 540, 1772, 8475, 912, 2108, 2080, 1352, 1336, 9887, 2111, 547, 2482, 1200, 1507, 15293, 338, 547, 1964, 269, 6884, 1352, 4718, 873, 538, 519, 688, 2763, 593, 519, 1216, 267, 543, 1131, 1293, 873, 267, 835, 547, 5722, 269, 1703, 779, 3627, 22448, 267, 1352, 1131, 1589, 267, 543, 1934, 2501, 8861, 267, 3957, 585, 1200, 3993, 267, 1498, 1352, 2760, 5143, 1200, 269, 2991, 1346, 1079, 972, 941, 1100, 811, 4408, 269, 6884, 519, 1453, 1223, 581, 1336, 27503, 689, 513, 1762, 3529, 610, 6926, 750, 532, 547, 835, 1776, 538, 519, 6633, 779, 19060, 3034, 2691, 1352, 1101, 10742, 7917, 17340, 651, 1772, 8475, 568, 19225, 2989, 543, 3592, 1065, 8215, 676, 519, 695, 629, 2421, 5920, 540, 713, 7381, 812, 945, 12134, 1360, 1463, 2055, 269, 17652, 267, 2705, 267, 1352, 7959, 9887, 6537, 547, 519, 2631, 540, 9814, 799, 4667, 547, 3295, 1864, 269, 2701, 1256, 2501, 547, 2972, 1010, 2754, 267, 10213, 9887, 972, 568, 1100, 2800, 538, 621, 269, 3371, 568, 835, 971, 3236, 912, 17606, 729, 609, 2370, 9983, 543, 1256, 513, 1166, 13616, 540, 12257, 602, 593, 513, 3802, 2059, 519, 8492, 540, 700, 5255, 932, 517, 267, 1772, 8475, 1336, 9887, 5329, 2754, 609, 7917, 17340, 651, 563, 8072, 1692, 1360, 8799, 547, 1294, 596, 267, 6004, 269, 17340, 651, 8730, 1352, 1767, 17869, 2685, 607, 646, 1793, 871, 2989, 1010, 1279, 29438, 5523, 10605, 547, 6474, 1200, 338, 269, 1261, 6743, 267, 1352, 2219, 267, 20938, 547, 1294, 1200, 1932, 563, 8072, 2252, 621, 779, 1100, 8373, 547, 596, 267, 14834, 600, 267, 594, 8910, 581, 19914, 547, 536, 728, 676, 596, 607, 9493, 3802, 10200, 3571, 16990, 15555, 1076, 540, 513, 5639, 729, 607, 25695, 607, 1352, 15422, 3034, 298, 1009, 344, 568, 519, 7385, 540, 6276, 5062, 31319, 3062, 269, 1358, 2661, 538, 513, 1507, 11876, 767, 25653, 883, 519, 15113, 728, 1657, 519, 5794, 1091, 685, 1753, 269, 2991, 741, 3355, 17895, 894, 1514, 5872, 918, 1009, 344, 5555, 2501, 547, 960, 585, 519, 7008, 267, 5329, 2777, 585, 873, 543, 4742, 513, 11967, 1476, 573, 656, 269, 2701, 20205, 1312, 1772, 8475, 779, 21632, 1869, 9799, 1126, 543, 267, 2673, 547, 519, 1439, 540, 519, 3209, 267, 1772, 8475, 779, 27630, 10867, 267, 513, 5067, 945, 267, 649, 3605, 267, 538, 519, 1433, 779, 6397, 267, 13858, 543, 9797, 18198, 5198, 547, 3932, 267, 814, 6603, 15296, 563, 763, 1079, 1292, 2239, 9739, 616, 1346, 540, 1772, 8475, 543, 918, 1009, 344, 609, 5618, 11271, 267, 3006, 1447, 982, 513, 2985, 610, 1256, 1152, 513, 1906, 3515, 267, 538, 799, 7917, 17340, 651, 6941, 547, 519, 5467, 1010, 4282, 610, 519, 3655, 2044, 9739, 646, 30650, 538, 1010, 2212, 269, 1261, 11099, 602, 972, 568, 1945, 602, 646, 1590, 798, 799, 786, 5305, 1864, 689, 519, 3655, 2044, 11963, 646, 568, 896, 543, 267, 1282, 1776, 540, 741, 15211, 267, 646, 840, 903, 593, 1772, 8475, 779, 1434, 2470, 269, 1261, 6941, 547, 1200, 912, 2108, 685, 16248, 1296, 3516, 594, 729, 5950, 689, 3655, 2044, 1560, 267, 855, 789, 20476, 7134, 585, 1250, 9997, 269, 1677, 581, 1863, 540, 3655, 2044, 543, 5884, 899, 1022, 824, 812, 267, 594, 993, 547, 30593, 513, 10243, 269, 1656, 547, 798, 602, 267, 547, 6443, 1772, 8475, 267, 1250, 15210, 8977, 539, 7385, 267, 538, 18163, 9769, 267, 594, 786, 991, 519, 948, 540, 1776, 19028, 9515, 10301, 585, 1250, 1688, 267, 799, 1352, 804, 553, 1186, 1034, 535, 969, 1836, 538, 1312, 1200, 513, 514, 563, 8072, 4517, 621, 568, 689, 803, 596, 3343, 948, 286, 1772, 602, 1946, 596, 723, 8179, 856, 1250, 2754, 891, 1082, 3275, 543, 1296, 2250, 286, 685, 7536, 2467, 568, 835, 1016, 7120, 267, 799, 8909, 569, 267, 1281, 4986, 547, 3986, 519, 3209, 269, 1452, 616, 1896, 2110, 880, 11271, 9446, 532, 10348, 15117, 543, 1200, 13584, 3117, 677, 9702, 532, 1101, 267, 538, 14642, 13871, 5600, 593, 519, 1772, 548, 540, 654, 697, 543, 267, 2034, 569, 267, 593, 519, 7195, 332, 7394, 24529, 538, 519, 13677, 4400, 4133, 269, 634, 1152, 4276, 547, 519, 1964, 540, 519, 1650, 267, 649, 5555, 3605, 267, 568, 602, 593, 12032, 540, 519, 1007, 1216, 4103, 519, 10424, 7008, 7390, 519, 6679, 593, 513, 1360, 6632, 1554, 538, 5239, 476, 6977, 280, 269, 634, 2680, 1223, 3362, 723, 1044, 1644, 538, 1079, 610, 1614, 3817, 607, 851, 540, 519, 835, 4143, 3184, 1510, 1818, 519, 3209, 538, 1022, 1259, 25013, 269, 901, 568, 519, 6609, 540, 875, 1082, 540, 519, 14538, 8452, 585, 519, 1390, 2680, 912, 28317, 3650, 649, 8491, 519, 1899, 540, 1561, 14876, 3560, 543, 3297, 873, 959, 644, 3022, 519, 4652, 1953, 919, 945, 1185, 14406, 856, 269, 3245, 942, 547, 942, 824, 2951, 6840, 267, 1346, 945, 1185, 536, 643, 537, 17977, 538, 519, 15113, 5310, 610, 5949, 2390, 930, 824, 1821, 1190, 8905, 547, 700, 5255, 15576, 9068, 267, 588, 698, 13499, 5196, 519, 4155, 547, 6443, 873, 11053, 6320, 713, 5127, 571, 1375, 1194, 6908, 540, 8103, 10138, 2059, 519, 1164, 10596, 540, 519, 646, 987, 609, 855, 835, 4126, 538, 1169, 6089, 281, 602, 789, 1522, 12446, 538, 942, 547, 6443, 741, 10348, 538, 14120, 519, 2941, 1190, 25736, 540, 4400, 1633, 1216, 3034, 763, 1433, 779, 10678, 568, 835, 540, 519, 1579, 3164, 560, 543, 1034, 17598, 594, 723, 2479, 1224, 538, 519, 1259, 621, 13218, 909, 10690, 7475, 269, 6736, 922, 5732, 10578, 4729, 267, 13804, 1380, 517, 779, 2864, 3819, 1603, 2511, 1797, 621, 666, 12212, 8473, 593, 267, 5310, 711, 3833, 19309, 267, 855, 6157, 593, 519, 5594, 20585, 2427, 269, 901, 666, 1118, 621, 513, 2370, 9875, 547, 1832, 2469, 982, 6148, 621, 11129, 547, 581, 563, 12179, 10515, 286, 281, 589, 3787, 540, 513, 6560, 693, 2053, 267, 855, 4502, 829, 13367, 532, 1175, 585, 519, 3209, 779, 1134, 7721, 1815, 3176, 10678, 269, 0, 257, 14276, 3486, 1876, 1754, 985, 519, 3347, 1063, 3084, 6608, 543, 954, 32744, 3906, 269, 898, 21560, 6608, 543, 954, 32744, 3906, 2066, 3084, 6302, 1701, 3057, 857, 32129, 2006, 543, 918, 15811, 5440, 565, 657, 267, 4139, 13751, 3194, 570, 12460, 807, 281, 5398, 4139, 4521, 331, 630, 18431, 10272, 3967, 269, 476, 2537, 267, 476, 1001, 274, 1916, 320, 269, 4139, 1230, 6761, 267, 2436, 2489, 610, 1880, 267, 9591, 3652, 2769, 569, 6444, 676, 519, 16311, 532, 2829, 3248, 321, 269, 4139, 11426, 267, 607, 2963, 540, 513, 2489, 2259, 7608, 607, 1876, 3248, 322, 269, 519, 4937, 14362, 540, 4521, 6444, 676, 3540, 1242, 6082, 3248, 323, 269, 1641, 547, 519, 14074, 540, 9137, 476, 6795, 267, 7225, 2772, 5463, 2888, 543, 519, 17546, 902, 540, 519, 4107, 4400, 569, 19120, 1881, 5398, 1235, 540, 519, 1585, 6082, 267, 607 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 829, 23739, 2439, 9202, 267, 2638, 856, 824, 2199, 536, 6033, 625, 547, 1294, 1018, 789, 5279, 585, 741, 12897, 269, 5213, 1405, 7340, 547, 1413, 693, 1312, 2462, 5832, 8637, 6730, 1507, 4830, 536, 6033, 625, 1317, 1004, 2503, 1114, 5777, 1759, 593, 519, 1826, 540, 1747, 789, 3643, 269, 5901, 3950, 540, 891, 5777, 543, 5469, 952, 1022, 1796, 856, 607, 1932, 1164, 610, 1970, 3379, 547, 16523, 780, 3086, 267, 1394, 547, 22400, 5863, 12897, 256, 4595, 789, 2811, 19471, 609, 2648, 267, 6148, 596, 1223, 17854, 12123, 513, 2370, 3787, 811, 982, 930, 15712, 945, 946, 840, 13402, 14859, 269, 3807, 581, 6297, 711, 547, 979, 936, 4580, 282, 6382, 267, 1761, 5561, 1522, 3442, 14949, 3681, 11992, 780, 15563, 267, 1832, 538, 2247, 602, 972, 616, 6266, 540, 12014, 547, 2628, 16310, 11256, 7727, 269, 589, 4558, 12506, 2115, 5201, 267, 1216, 267, 4950, 267, 543, 3006, 5520, 1932, 256, 5269, 2386, 707, 5777, 3382, 782, 1346, 3063, 3790, 1247, 1869, 1373, 8013, 2614, 547, 4482, 5561, 780, 3528, 1631, 267, 594, 914, 596, 2811, 3206, 267, 834, 32452, 267, 713, 3884, 1405, 865, 2182, 10590, 1656, 596, 9364, 581, 1318, 256, 2060, 15826, 7156, 2016, 547, 3790, 267, 6735, 267, 22464, 267, 543, 2949, 1870, 9276, 267, 596, 2811, 1134, 593, 707, 1259, 547, 13215, 519, 1148, 540, 14499, 4640, 538, 707, 2104, 29221, 2044, 18129, 269, 8414, 11256, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 6701, 596, 6236, 5887, 1005, 883, 519, 1158, 540, 29221, 2044, 9562, 610, 11842, 827, 519, 2883, 23812, 540, 606, 4540, 29221, 2044, 1870, 286, 4197, 519, 20656, 540, 536, 6033, 625, 267, 741, 8907, 12535, 267, 543, 9276, 568, 2629, 585, 1818, 5483, 3664, 563, 1103, 713, 2376, 267, 649, 786, 5490, 883, 519, 536, 6033, 625, 685, 2883, 2773, 543, 2263, 519, 29221, 2044, 7443, 14345, 269, 1284, 3580, 2626, 2055, 971, 607, 968, 1692, 1454, 798, 29221, 2044, 5411, 1118, 9495, 543, 968, 6701, 536, 6033, 625, 19311, 9495, 20331, 609, 713, 1702, 267, 596, 666, 6330, 519, 29221, 2044, 1870, 5251, 609, 6015, 563, 1432, 616, 519, 26959, 547, 3399, 513, 25234, 2044, 888, 28275, 513, 29221, 2044, 1870, 3322, 1585, 3790, 602, 666, 4268, 4922, 4470, 593, 519, 4336, 543, 4087, 540, 707, 14679, 563, 4002, 3328, 267, 6679, 513, 29221, 2044, 666, 1942, 9170, 689, 1269, 1015, 267, 1822, 547, 1269, 4335, 267, 1822, 610, 811, 269, 3371, 568, 513, 1592, 540, 476, 1015, 1455, 9276, 596, 1058, 2015, 950, 4358, 513, 29221, 2044, 267, 2059, 609, 741, 1942, 9832, 912, 268, 681, 550, 610, 2274, 848, 281, 13600, 569, 10519, 3790, 666, 2039, 689, 1269, 272, 267, 1822, 547, 1269, 1015, 267, 1822, 610, 811, 267, 4096, 514, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 303, 878, 532, 15613, 257, 607, 851, 540, 834, 24082, 1299, 18598, 1315, 19833, 1299, 590, 2454, 1315, 5004, 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 ]
[ 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, 18438, 30047, 281, 9861, 16721, 1563, 585, 519, 17023, 538, 8950, 14691, 692, 5331, 596, 616, 2679, 513, 8773, 602, 666, 948, 596, 1472, 519, 2777, 269, 901, 8773, 5205, 2241, 5528, 899, 834, 335, 1157, 909, 519, 11442, 2437, 834, 1584, 621, 538, 519, 10822, 2437, 543, 834, 2998, 1394, 547, 707, 12123, 6728, 1701, 1809, 1018, 4523, 952, 972, 568, 1100, 11442, 593, 519, 6989, 286, 2107, 952, 519, 10822, 568, 2407, 543, 3112, 3398, 1022, 811, 9162, 286, 2107, 952, 519, 8773, 13341, 606, 21677, 1247, 2469, 1394, 547, 922, 12123, 6728, 286, 1452, 6397, 3871, 2154, 1945, 1572, 5470, 7829, 1107, 513, 2629, 2460, 540, 5752, 602, 2337, 5904, 18783, 543, 4431, 14013, 950, 1919, 1810, 1406, 979, 4010, 2687, 547, 1544, 780, 4131, 781, 2263, 875, 5470, 7829, 4249, 513, 1909, 538, 1818, 938, 3292, 960, 12347, 1256, 950, 5185, 609, 20437, 6381, 2439, 8139, 8210, 5558, 454, 2411, 14945, 11293, 5558, 2049, 950, 649, 2547, 2503, 873, 267, 1175, 899, 950, 707, 2370, 7015, 1522, 9983, 596, 676, 15720, 896, 707, 5127, 256, 6684, 267, 6959, 666, 1402, 909, 538, 707, 3009, 1813, 547, 1585, 4128, 971, 607, 11234, 3403, 1239, 267, 9266, 9073, 267, 610, 5007, 2188, 3564, 707, 1852, 269, 1280, 3236, 267, 3843, 547, 7941, 513, 1297, 676, 4642, 1131, 1267, 538, 606, 5470, 2094, 6498, 676, 4642, 3884, 1405, 28879, 2009, 780, 2414, 6023, 891, 3871, 30780, 267, 23501, 946, 2027, 2553, 1634, 607, 9868, 7829, 610, 5470, 7829, 269, 1635, 7598, 713, 267, 789, 2327, 741, 11608, 4465, 1405, 2736, 1524, 693, 519, 1101, 1129, 540, 8373, 855, 786, 3079, 1491, 3617, 2962, 4470, 593, 519, 1826, 540, 3390, 11402, 780, 2750, 1061, 1308, 6201, 454, 2411, 21387, 22428, 596, 1616, 707, 19471, 8773, 547, 1216, 2371, 8164, 789, 1205, 1932, 3819, 269, 1411, 1223, 2328, 513, 1599, 602, 3800, 3037, 7509, 2157, 543, 7297, 519, 2030, 9935, 269, 1717, 267, 3006, 8596, 949, 29840, 610, 2285, 11234, 13220, 269, 1677, 2272, 585, 713, 7872, 267, 596, 991, 547, 6451, 5470, 7829, 1369, 707, 3009, 780, 2080, 781, 513, 16866, 1383, 1210, 29660, 2275, 1712, 630, 320, 1500, 5346, 1893, 2147, 547, 2296, 17107, 825, 9577, 4826, 24456, 263, 31542, 8548, 334, 626, 675, 2187, 1363, 1403, 3037, 8548, 334, 626, 675, 2999, 5551, 18386, 24038, 912, 17264, 12262, 18421, 568, 5386, 282, 1577, 781, 1216, 519, 2030, 2336, 17264, 12414, 4002, 306, 1440, 1074, 2401, 4590, 1363, 22527, 912, 2018, 12262, 772, 327, 19315, 267, 2901, 519, 9300, 568, 7745, 610, 4758, 7301, 2542, 563, 2018, 8298, 13286, 2891, 3383, 559, 7720, 626, 675, 32190, 23299, 5602, 2018, 3502, 1518, 302, 1233, 518, 2891, 2467, 4667, 547, 581, 606, 3390, 609, 519, 3037, 7509, 9300, 1701, 2020, 1103, 713, 2013, 267, 952, 519, 3037, 7509, 9300, 14543, 610, 3947, 606, 21494, 1871, 267, 519, 1062, 20743, 606, 5470, 5048, 543, 15920, 513, 31015, 547, 519, 8227, 827, 519, 1966, 269, 5502, 540, 9420, 569, 1739, 25768, 5528, 267, 519, 8773, 1631, 814, 513, 4960, 547, 9156, 543, 10332, 3755, 827, 1761, 2152, 780, 21652, 1782, 1401, 8526, 24553, 2685, 454, 10900, 19567, 9617, 607, 1565, 19831, 6575, 666, 948, 721, 9718, 6000, 1996, 13032, 625, 267, 1620, 9868, 7829, 6087, 938, 3292, 547, 4308, 609, 6397, 2621, 3927, 269, 20074, 1434, 5470, 7829, 2853, 2306, 938, 3156, 7347, 267, 3593, 7888, 267, 543, 5827, 540, 15268, 547, 4101, 7653, 780, 2026, 3743, 15888, 267, 6220, 1697, 5470, 7829, 5849, 602, 938, 13144, 2611, 5363, 16167, 2864, 982, 4742, 2959, 540, 17140, 1813, 547, 27644, 32657, 2355, 269, 5457, 267, 1373, 5423, 585, 17756, 5012, 547, 1732, 3301, 543, 18668, 3755, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 27287, 24486, 10466, 543, 519, 7736, 9734, 618, 540, 6406, 19115, 625, 454, 2304, 10495, 540, 519, 5518, 781, 8189, 593, 11879, 24486, 10466, 630, 15425, 5746, 303, 994, 16978, 3055, 21041, 6176, 4741, 454, 10666, 519, 18329, 21041, 6176, 4741, 454, 763, 18329, 21041, 6176, 4741, 630, 7968, 2975, 264, 568, 513, 1857, 1719, 1382, 4099, 538, 6115, 267, 667, 5861, 269, 898, 729, 3964, 538, 476, 1960, 275, 547, 1445, 1857, 3007, 593, 6932, 3540, 23118, 2152, 543, 547, 2149, 7834, 267, 519, 3689, 14821, 267, 543, 13338, 2418, 269, 21768, 2975, 568, 513, 1788, 540, 519, 8750, 585, 25799, 6554, 269, 21768, 2975, 1568, 538, 7681, 609, 21041, 4139, 267, 606, 3486, 1480, 2924, 1895, 1759, 538, 5507, 267, 5177, 543, 568, 849, 513, 4759, 540, 519, 6820, 5769, 23068, 22411, 267, 519, 5769, 5131, 20309, 19137, 543, 519, 5769, 21041, 29663, 563, 763, 21768, 2975, 3883, 32697, 2488, 513, 3102, 5542, 540, 2835, 543, 5359, 593, 2780, 3354, 267, 25563, 267, 519, 3689, 14821, 543, 1863, 4633, 267, 1930, 2229, 267, 543, 7834, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 13286, 30047, 257, 607, 851, 540, 834, 28035, 1315, 14691, 1315, 4937, 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, 6092, 5149, 281, 1215, 8693, 7827, 2904, 29196, 13149, 5020, 13206, 527, 1846, 692, 8702, 547, 713, 3078, 1576, 1770, 1141, 649, 786, 1451, 827, 875, 2916, 1689, 666, 1860, 519, 5321, 540, 7286, 2831, 256, 5620, 596, 2479, 9289, 1018, 621, 1131, 581, 899, 952, 707, 5172, 3662, 1185, 547, 1847, 1317, 741, 1753, 2968, 1932, 3905, 610, 1932, 4411, 286, 4270, 267, 602, 781, 4010, 1018, 1522, 4755, 547, 930, 540, 938, 5836, 2828, 1813, 547, 2518, 8337, 269, 2913, 781, 4685, 1318, 883, 1565, 811, 2439, 5575, 267, 1577, 781, 2911, 827, 1018, 834, 30873, 1689, 257, 1797, 269, 1411, 949, 723, 4862, 4079, 6158, 827, 621, 1354, 269, 15439, 2322, 267, 2916, 1689, 4016, 547, 1713, 2242, 538, 2518, 5210, 543, 4365, 3270, 936, 942, 269, 1452, 2242, 616, 5097, 3361, 676, 1004, 8781, 8093, 10173, 899, 5755, 543, 3282, 799, 13847, 8511, 9362, 630, 3697, 3327, 8166, 264, 883, 3047, 781, 5790, 269, 1879, 972, 616, 1932, 1082, 8511, 9362, 267, 789, 15972, 3002, 689, 519, 3141, 543, 2014, 938, 4541, 547, 3636, 909, 780, 3086, 267, 4952, 1373, 513, 3165, 2713, 2282, 519, 3345, 24504, 269, 898, 781, 7168, 669, 11035, 972, 267, 1318, 286, 1809, 609, 782, 891, 3063, 8511, 9362, 1818, 938, 1158, 15911, 267, 1256, 1346, 476, 5390, 7297, 1376, 8022, 909, 256, 2368, 3165, 1522, 2972, 2348, 5594, 15911, 1216, 267, 855, 1866, 4465, 1405, 269, 1358, 1522, 991, 547, 1265, 16830, 4025, 547, 2661, 1107, 1175, 899, 950, 3425, 1413, 585, 2011, 14555, 1282, 4832, 3002, 30335, 256, 1924, 267, 789, 1223, 7669, 2509, 519, 18635, 10478, 585, 21617, 9249, 269, 12207, 1289, 713, 3350, 540, 2831, 3168, 585, 1007, 5321, 513, 834, 9792, 6521, 6231, 4913, 267, 3001, 3884, 1405, 2141, 2653, 890, 6470, 11993, 17065, 5414, 585, 7286, 7068, 269, 1280, 835, 3364, 267, 10977, 1390, 9883, 3217, 6266, 540, 1648, 269, 1656, 1018, 952, 1776, 3662, 2907, 2729, 538, 519, 1747, 789, 1616, 547, 979, 286, 5994, 4687, 707, 23103, 609, 2576, 3116, 945, 6499, 547, 1847, 538, 256, 21220, 25056, 267, 26001, 286, 3958, 267, 930, 2831, 4096, 593, 1808, 2010, 540, 5054, 547, 7639, 269, 1403, 789, 3112, 1265, 2147, 2175, 12341, 3116, 267, 789, 1981, 12955, 856, 4625, 269, 2334, 1131, 1611, 9561, 873, 11014, 267, 799, 2306, 3744, 1360, 8909, 780, 2467, 616, 1978, 2249, 602, 616, 2523, 7925, 547, 2916, 1689, 5222, 269, 1284, 1289, 873, 834, 628, 805, 2989, 2249, 2437, 2495, 789, 3068, 2362, 4220, 540, 7106, 8960, 689, 938, 12084, 269, 3509, 2188, 3565, 547, 1946, 789, 2811, 693, 1981, 267, 1519, 1919, 649, 798, 267, 899, 936, 325, 5109, 269, 3683, 325, 5109, 4523, 950, 1004, 6952, 1932, 1082, 3165, 267, 6028, 7864, 3297, 547, 16196, 543, 1832, 5095, 7123, 269, 3767, 4605, 4946, 2916, 1689, 2591, 593, 1283, 540, 4540, 6937, 910, 586, 10105, 256, 898, 3587, 3833, 4101, 585, 891, 10475, 4262, 7919, 547, 3082, 543, 3136, 14762, 780, 2414, 948, 2149, 891, 5863, 7068, 267, 3173, 946, 1945, 1572, 834, 31695, 2127, 1701, 6056, 540, 891, 607, 2027, 16973, 2966, 4481, 585, 7320, 269, 3143, 3425, 616, 4847, 547, 4283, 610, 2800, 519, 2831, 1369, 891, 10851, 865, 789, 666, 9108, 2661, 741, 2729, 269, 2060, 2916, 1689, 4929, 10593, 538, 7286, 1272, 14778, 267, 3173, 1631, 4898, 2436, 1699, 6870, 2127, 786, 1869, 1683, 5078, 5321, 585, 891, 2831, 538, 519, 2104, 780, 1103, 713, 1576, 1770, 267, 649, 786, 2263, 875, 1114, 2780, 2645, 1572, 1412, 14588, 2886, 3892, 3631, 262, 666, 3589, 1141, 7286, 2831, 1522, 1847, 1813, 547, 4657, 16374, 269, 1635, 9256, 1344, 689, 1896, 3631, 267, 3744, 1205, 513, 20501, 2856, 540, 1018, 1223, 4755, 547, 1585, 7286, 2249, 538, 519, 1985, 1906, 5756, 269, 4635, 519, 3345, 7256, 3148, 607, 513, 2013, 1353, 267, 649, 786, 1294, 799, 2831, 1522, 4228, 741, 9832, 543, 799, 3283, 1223, 3068, 14486, 269, 5015, 267, 649, 3513, 1865, 2009, 3527, 649, 666, 1491, 1927, 547, 2327, 1312, 938, 11537, 4262, 1814, 1562, 543, 741, 9241, 6074, 5321, 2611, 2922, 543, 3280, 780, 3383, 31617, 909, 267, 1250, 8284, 10357, 21351, 19144, 256, 8625, 267, 649, 786, 3460, 998, 519, 4241, 7706, 540, 7286, 14498, 267, 26500, 6456, 11580, 540, 2470, 1247, 12423, 2081, 547, 16102, 922, 3304, 9317, 11317, 1996, 519, 829, 2812, 540, 2916, 1689, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 17471, 2916, 1689, 568, 7133, 519, 3892, 540, 7286, 2249, 543, 568, 2219, 547, 2099, 513, 3463, 547, 9265, 269, 19881, 2090, 1788, 7269, 540, 2249, 2039, 585, 930, 2249, 543, 2199, 14486, 11992, 896, 2916, 1689, 269, 6270, 2039, 10593, 6318, 6161, 585, 2249, 4171, 1279, 3856, 18094, 568, 2907, 12219, 676, 824, 1480, 18063, 971, 607, 10068, 269, 1717, 267, 1906, 2090, 723, 13986, 547, 2708, 519, 2360, 540, 2104, 2916, 1689, 593, 12219, 9451, 24260, 7286, 2249, 1210, 513, 3818, 21524, 601, 1935, 269, 1703, 814, 849, 1044, 513, 2487, 10006, 540, 1719, 538, 2916, 1689, 5222, 593, 6870, 2127, 269, 901, 1353, 10039, 1614, 2249, 3892, 3631, 543, 1079, 5036, 540, 2916, 2203, 20327, 547, 2263, 519, 1761, 5222, 540, 2916, 1689, 593, 7286, 2249, 676, 476, 13078, 271, 269, 589, 1305, 540, 2249, 538, 519, 3345, 7256, 267, 1519, 5722, 12219, 543, 4557, 2101, 5010, 2249, 941, 1031, 607, 513, 2013, 1353, 269, 15448, 538, 7226, 29839, 538, 5697, 11134, 6870, 2127, 513, 709, 333, 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, 7913, 12474, 20520, 281, 634, 5295, 540, 14871, 268, 17653, 730, 12474, 543, 11473, 19457, 15107, 13257, 692, 1103, 2221, 781, 10562, 1158, 267, 3593, 24378, 1543, 630, 308, 24774, 264, 814, 1831, 513, 22294, 540, 3811, 6725, 2994, 2066, 1585, 6080, 269, 772, 24774, 4016, 547 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2295, 2068, 267, 5761, 2068, 267, 543, 3075, 946, 563, 303, 23307, 6285, 543, 11784, 4524, 616, 711, 519, 1482, 3364, 269, 7754, 545, 4524, 3322, 20443, 11784, 6285, 2059, 609, 3586, 12194, 827, 2348, 2104, 6285, 543, 267, 1419, 267, 9319, 3871, 602, 949, 9594, 610, 7618, 2576, 540, 3105, 6285, 269, 3502, 782, 11784, 6285, 616, 3361, 676, 11784, 4524, 282, 824, 2175, 949, 9594, 513, 11784, 4323, 269, 1358, 1522, 1331, 912, 4322, 6285, 616, 513, 10835, 540, 11784, 4524, 267, 513, 1826, 540, 4160, 4524, 602, 5540, 930, 476, 273, 269, 275, 2929, 772, 2529, 269, 4079, 269, 634, 4524, 1034, 1419, 5956, 1282, 519, 3735, 12322, 543, 2038, 15296, 543, 16716, 7466, 607, 1082, 1977, 2021, 607, 2367, 269, 3143, 835, 6487, 1018, 3123, 11784, 4524, 267, 1498, 3173, 14353, 513, 4999, 540, 6211, 543, 2825, 2188, 267, 1519, 1920, 1686, 630, 13732, 4524, 4667, 547, 2196, 538, 3885, 1070, 17173, 1272, 2621, 267, 3075, 543, 4568, 6057, 267, 543, 3206, 3270, 602, 21179, 622, 3339, 2168, 6547, 563, 10144, 609, 11784, 4524, 1419, 5855, 827, 950, 519, 1985, 4323, 786, 4755, 543, 8362, 2119, 547, 2061, 2104, 6285, 676, 9319, 4025, 267, 3871, 267, 610, 5615, 789, 12314, 609, 11784, 6285, 269, 1937, 787, 827, 11784, 6285, 267, 543, 519, 4674, 6170, 3843, 547, 2057, 6285, 267, 2014, 1713, 2042, 538, 1585, 2127, 540, 519, 1268, 779, 1272, 267, 1519, 519, 1646, 540, 989, 528, 7469, 14113, 630, 5408, 2630, 1040, 0, 21938, 476, 1321, 628, 267, 476, 1001, 280, 454, 2791, 798, 3388, 596, 666, 547, 2149, 707, 22525, 609, 28863, 1804, 543, 1507, 269, 12305, 532, 602, 7294, 1286, 10160, 269, 8431, 1005, 856, 799, 24429, 568, 1655, 585, 10347, 2960, 269, 1975, 2056, 4374, 1126, 16513, 532, 707, 1753, 269, 1809, 782, 519, 960, 7863, 707, 1126, 568, 811, 982, 4502, 621, 1317, 519, 12587, 616, 865, 1390, 269, 1656, 835, 811, 4948, 13390, 1081, 602, 6770, 1390, 12587, 568, 7863, 707, 22525, 689, 5694, 9178, 563, 268, 3399, 7216, 454, 763, 942, 547, 1376, 707, 4816, 779, 5959, 1416, 568, 1256, 1354, 602, 1101, 5694, 21128, 269, 28392, 530, 31441, 519, 14779, 609, 513, 2973, 267, 14927, 12308, 1310, 8023, 4991, 707, 1126, 1031, 547, 519, 2856, 540, 17678, 543, 18788, 4551, 602, 1522, 8886, 622, 519, 14779, 607, 519, 4522, 2253, 547, 21074, 269, 1306, 4166, 607, 1346, 4522, 12446, 267, 9543, 17678, 609, 2571, 1490, 30178, 786, 1832, 4551, 543, 15799, 689, 4929, 5694, 9178, 543, 31470, 26628, 269, 1284, 666, 4363, 21491, 770, 525, 19775, 2523, 585, 20854, 543, 2303, 519, 1655, 2081, 547, 11453, 563, 268, 9650, 634, 32386, 454, 2171, 917, 602, 24494, 3536, 5749, 1406, 2635, 585, 707, 22525, 779, 4522, 269, 29318, 538, 519, 5023, 20555, 593, 4006, 267, 543, 513, 4006, 13463, 8283, 2732, 2164, 538, 811, 540, 519, 4551, 543, 15799, 799, 2014, 19659, 269, 1809, 4006, 568, 711, 519, 1152, 1426, 602, 568, 711, 5694, 7888, 269, 1280, 1383, 267, 3536, 899, 20521, 5613, 543, 23238, 666, 849, 581, 513, 1966, 269, 18729, 545, 3536, 666, 2965, 14020, 19596, 1310, 4189, 543, 4734, 4522, 811, 7925, 547, 13570, 27351, 6748, 4551, 543, 15799, 269, 1284, 723, 10372, 585, 5694, 268, 11794, 16152, 543, 519, 1655, 2053, 547, 11453, 1310, 4189, 952, 596, 543, 707, 1126, 32696, 538, 513, 1521, 563, 268, 5213, 1406, 16700, 2224, 645, 2714, 956, 1299, 590, 2089, 344, 595, 5725, 454, 7312, 22525, 1522, 1869, 946, 513, 11480, 693, 3781, 610, 513, 521, 2089, 344, 7484, 2429, 519, 1554, 269, 4236, 1182, 543, 1256, 5144, 2270, 4006, 602, 4679, 519, 1981, 540, 19659, 267, 543, 952, 707, 1126, 4422, 547, 3207, 609, 513, 11480, 610, 7484, 267, 891, 15559, 7535, 538, 519, 5023, 16074, 3850, 4551, 547, 21707, 269, 1403, 707, 22525, 6499, 513, 4235, 693, 3781, 610, 1063, 6980, 267, 1216, 568, 513, 1454, 1732, 4781, 563, 17829, 6263, 4522, 616, 1271, 585, 865, 1082, 4128, 269, 1358, 5512, 1453, 547, 11116, 543, 25261, 7561, 267, 547, 24969, 4992, 5265, 585, 4633, 1646, 267, 543, 547, 4688, 2230, 585, 2937, 4522, 865, 789, 21074, 538, 519, 1318, 1747, 269, 3220, 338, 269, 7788, 2871, 518, 571, 543, 25014, 3821, 2274, 11803, 543, 938, 2319, 4363, 602, 707, 1126, 3643, 938, 645, 686, 541, 743, 858, 2494, 528, 267, 12924, 5604, 1310, 519, 1101, 5694, 2501, 538, 267, 543, 2141, 676, 519, 1101, 14512, 269, 1284, 786, 1118, 2386, 707, 22525, 779, 4522, 616, 3384, 607, 789, 1058, 581, 543, 2303, 2081, 547, 1832, 873, 13570, 6954, 269, 2659, 22525, 779, 2635, 267, 4190, 12837, 568, 513, 8007, 4502, 7863, 2336, 21938, 476, 276, 628, 267, 476, 1001, 280, 454, 21938, 568, 2817, 5753, 779, 15482, 2657, 13600, 267, 543, 513, 3501, 942, 585, 3220, 338, 269, 7788, 2871, 518, 571, 543, 25014, 3821, 2274, 11803, 547, 2689, 930, 540, 519, 1271, 3268, 538, 5329, 707, 1126, 779, 12837, 2635, 2336, 15900, 1416, 568, 1655, 256, 4634, 1354, 4522, 2408, 267, 519, 1977, 15482, 5948, 15565, 9900, 530, 31441, 707, 4816, 779, 14779, 609, 513, 2973, 267, 5848, 12238, 2763, 14950, 610, 11547, 743, 1054, 1310, 8023, 269, 1879, 1010, 610, 1200, 1101, 5694, 21128, 267, 621, 779, 942, 547, 8430, 707, 1126, 779, 1101, 3643, 269, 3776, 5604, 786, 581, 6126, 547, 2626, 1022, 2055, 596, 1522, 723, 827, 17678, 2645, 543, 2553, 269, 901, 568, 849, 606, 4316, 547, 2638, 711, 1152, 5694, 1072, 267, 855, 10265, 543, 4522, 1646, 269, 6744, 707, 4816, 779, 4522, 5781, 267, 543, 1289, 721, 952, 596, 723, 1022, 4145, 563, 3528, 519, 942, 1453, 616, 1614, 267, 789, 786, 4440, 723, 782, 610, 1034, 540, 741, 4816, 4522, 269, 5696, 5241, 707, 1126, 779, 4522, 7466, 513, 1554, 609, 513, 2571, 1532, 2077, 1194, 267, 1126, 13355, 11453, 568, 513, 1390, 2203, 585, 950, 707, 1126, 5956, 17678, 593, 1010, 610, 1200, 1378, 269, 1656, 950, 4522, 2253, 547, 5905, 267, 29781, 707, 1126, 779, 4522, 568, 5227, 2899, 513, 1554, 607, 1134, 269, 5457, 547, 8430, 2834, 2638, 5725, 693, 938, 645, 686, 541, 743, 858, 2494, 528, 267, 12924, 5604, 267, 543, 948, 1118, 707, 22525, 779, 3643, 2318, 676, 2542, 2835, 610, 8384, 7044, 827, 9683, 519, 11290, 267, 1210, 1404, 5503, 547, 2259, 1919, 602, 1522, 4755, 538, 519, 11290, 779, 11381, 630, 7945, 607, 6679, 1010, 610, 1200, 5023, 547, 1293, 4522, 1070, 543, 4058, 11564, 1282, 2053, 707, 1126, 568, 1134, 3146, 23264, 563, 7312, 3427, 5025, 613, 4132, 454, 7312, 1126, 1522, 581, 4712, 547, 1491, 593, 17678, 543, 29781, 1247, 596, 27459, 1047, 267, 543, 972, 616, 1082, 2081, 596, 666, 5000, 1312, 26997, 543, 25981, 1490, 639, 1667, 256, 634, 5084, 288, 15565, 1079, 3764, 540, 6297, 17678, 7466, 513, 1554, 267, 610, 607, 9859, 676, 707, 11290, 610, 10629, 269, 1411, 666, 946, 891, 2185, 1271, 3764, 547, 2995, 707, 1126, 2984, 267, 6432, 547, 2575, 267, 610, 11453, 1927, 269, 2659, 1126, 666, 948, 3442, 1010, 610, 1200, 28750, 543, 26025, 267, 610, 7118, 29654, 585, 513, 17678, 2816, 1134, 2944, 269, 25529, 547, 513, 6296, 585, 1655, 2164, 267, 543, 8430, 2834, 2638, 5725, 543, 2973, 902, 547, 2149, 707, 1126, 779, 2949, 5959, 1072, 269, 901, 568, 849, 606, 1271, 2085, 547, 2638, 11116, 12972, 267, 1022, 1761, 26966, 545, 2152, 267, 543, 519, 7872, 540, 13021, 1218, 563, 21938, 1522, 581, 519, 20125, 3923, 267, 855, 621, 779, 513, 1390, 942, 547, 2015, 707, 1126, 779, 1272, 17489, 12837, 269, 1403, 596, 723, 1022, 2055, 610, 4145, 267, 519, 2319, 693, 938, 645, 686, 541, 743, 858, 2494, 528, 267, 12924, 5604, 568, 2141, 6126, 547, 1865, 873, 609, 596, 1765, 1415, 942, 540, 1032, 2336, 20464, 476, 3066, 628, 267, 476, 1001, 280, 454, 2252, 707, 2856, 540, 22742, 568, 513, 9602, 3802, 998, 519, 18137, 1354, 13059, 547, 707, 15309, 545, 15678, 267, 707, 2834, 17678, 6208, 786, 581, 3501, 585, 707, 7552, 269, 1809, 952, 596, 616, 19482, 883, 519, 10239, 609, 707, 17895, 267, 30618, 267, 543, 3786, 1426, 267, 3220, 338, 269, 7788, 2871, 518, 571, 543, 25014, 3821, 2274, 11803, 543, 938, 2319, 723, 930, 10372, 547, 3082, 707, 5959, 6296, 547, 519, 1390, 13964, 563, 2252, 596, 9327, 1406, 4235, 621, 267, 1810, 1406, 11453, 609, 621, 256, 2422, 4420, 1194, 1216, 952, 596, 723, 4547, 621, 267, 610, 1118, 2386, 519, 2199, 1216, 568, 2922, 676, 1210, 513, 4152, 6539, 269, 4425, 4979, 267, 12086, 543, 22729, 14342, 616, 782, 2081, 547, 1118, 2386, 519, 1216, 4255, 2973, 543, 2922, 563, 2791, 5749, 1406, 519, 1152, 835, 538, 519, 18137, 945, 9060, 707, 26025, 17705, 269, 645, 8986, 267, 986, 764, 9398, 267, 543, 824, 2831, 616, 13631, 547, 519, 20416, 540, 707, 26025, 267, 865, 1832, 621, 2922, 609, 519, 1482, 2186, 540, 17401, 20177, 267, 17627, 31383, 8708, 602, 596, 1832, 707, 1426, 538, 269, 1656, 952, 596, 1616, 547, 25339, 13311, 8436, 267, 1810, 1406, 838, 527, 707, 26025, 856, 693, 707, 3786, 3033, 256, 898, 779, 1732, 547, 979, 930, 3845, 689, 707, 3135, 543, 30565, 1022, 13594, 267, 543, 1655, 540, 782, 547, 838, 527, 1031, 26025, 883, 513, 8708, 602, 666, 581, 17401, 6806, 543, 6569, 689, 519, 13122, 924, 950, 596, 2212, 585, 1753, 269, 901, 2259, 14014, 596, 543, 519, 1604, 607, 1134, 267, 2094, 26025, 666, 581, 5739, 547, 1507, 2831, 543, 2371, 563, 4407, 972, 616, 25551, 543, 22742, 5694, 1962, 16640, 2139, 267, 513, 2834, 28750, 786, 960, 607, 1134, 269, 28611, 267, 2011, 1673, 11538, 568, 519, 1072, 5006, 4781, 585, 15018, 707, 28750, 267, 855, 22742, 568, 606, 9868, 269, 3807, 607, 2831, 616, 13631, 547, 26025, 267, 789, 616, 849, 13631, 547, 707, 26025, 1606, 1417, 539, 28750, 269, 5901, 621, 538, 513, 20177, 8708, 602, 568, 17627, 31383, 563, 2467, 616, 7270, 13991, 547, 519, 1082, 19782, 1190, 2081, 547, 946, 5959, 19568, 1247, 22742, 267, 855, 649, 4363, 519, 3312, 946, 269, 5213, 1406, 7340, 547, 19568, 5781, 267, 1832, 621, 538, 513, 20177, 8708, 267, 543, 798, 581, 2386, 547, 1491, 1031, 19568, 856, 540, 519, 1858, 609, 596, 563, 10214, 1498, 596, 616, 11315, 532, 621, 267, 6529, 609, 707, 1753, 6296, 607, 1454, 607, 2009, 269, 1403, 596, 616, 8572, 547, 11453, 607, 8912, 267, 27125, 707, 5023, 1134, 609, 2973, 1216, 543, 11453, 950, 596, 666, 269, 5620, 513, 1390, 7552, 267, 543, 1175, 835, 811, 2219, 1765, 16673, 2041, 979, 2653, 593, 519, 521, 6557, 2803, 269, 2913, 721, 917, 782, 827, 707, 7552, 1282, 707, 1985, 3643, 547, 938, 645, 686, 541, 743, 858, 2494, 528, 267, 12924, 5604, 2336, 20464, 476, 2420, 526, 267, 476, 1001, 280, 454, 29261, 616, 2356, 4274, 693, 2921, 1416, 540, 741, 1453, 779, 7063, 269, 1411, 917, 875, 547, 21149, 513, 2759, 267, 865, 6139, 513, 29424, 593, 519, 2212, 267, 543, 4019, 513, 6512, 720, 5488, 982, 596, 666, 1025, 1074, 563, 3719, 1018, 4523, 952, 707, 1126, 23119, 513, 5959, 5945, 286, 29726, 666, 1205, 7745, 267, 5679, 18088, 856, 267, 610, 19774, 689, 513, 3196, 995, 1764, 267, 543, 3237, 11129, 547, 917, 1018, 547, 798, 538, 1346, 3871, 267, 1932, 269, 24664, 1176, 267, 3220, 338, 269, 7788, 2871, 518, 571, 543, 25014, 3821, 2274, 11803, 543, 938, 2319, 616, 1934, 547, 581, 513, 4199, 585, 971, 13685, 2336, 2419, 5792, 4395, 4522, 616, 513, 1455, 5945, 585, 1762, 1453, 269, 3689, 267, 2638, 547, 1294, 952, 519, 4522, 723, 1044, 7745, 547, 519, 8229, 269, 1411, 666, 2995, 713, 568, 519, 2013, 952, 596, 1294, 6106, 543, 513, 11909, 880, 4099, 563, 10190, 267, 530, 24513, 548, 1142, 5694, 547, 1118, 2386, 621, 568, 711, 10690, 269, 1403, 519, 4522, 1869, 1745, 16119, 538, 1747, 267, 602, 779, 513, 1434, 1129, 269, 5213, 1406, 5855, 952, 789, 616, 513, 2370, 10690, 267, 1317, 789, 786, 9395, 523, 1586, 609, 942, 563, 2252, 707, 1126, 10953, 513, 1164, 2837, 610, 11116, 8417, 267, 2126, 568, 2556, 543, 1223, 1331, 513, 3597, 12324, 563, 288, 5679, 18088, 13050, 5694, 568, 606, 5945, 602, 3340, 811, 3007, 982, 1175, 8343, 269, 700, 11229, 519, 5694, 607, 4166, 607, 596, 666, 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 ]
[ 832, 2015, 1312, 2713, 543, 21549, 2043, 17709, 540, 862, 754, 566, 780, 4089, 476, 275, 281, 1133, 4328, 17086, 910, 3690, 20139, 31197, 17978, 454, 2026, 8115, 10489, 2105, 10665, 267, 865, 1932, 1705, 3646, 547, 5431, 922, 23594, 269, 3683, 942, 267, 3486, 3906, 3459, 23712, 2066, 2477, 547, 8661, 1283, 22407, 269, 1452, 30427, 14223, 5121, 4547, 8115, 12439, 6251, 982, 2479, 1354, 267, 2870, 5867, 1141, 3309, 9739, 1223, 26595, 3297, 513, 3838, 6612, 780, 3528, 2324, 1927, 267, 891, 5121, 15469, 2208, 1369, 519, 8115, 2146, 267, 2799, 1857, 4656, 540, 519, 3014, 267, 543, 4396, 1881, 922, 4567, 607, 513, 16048, 8013, 20089, 269, 3414, 10770, 14223, 267, 1256, 1875, 25178, 619, 3357, 547, 5660, 519, 5898, 543, 6988, 540, 8115, 780, 4089, 476, 276, 281, 16497, 3231, 2740, 910, 1215, 2052, 1411, 5269, 513, 16338, 888, 5522, 11691, 8115, 3091, 11995, 9913, 1871, 267, 855, 1565, 827, 922, 588, 528, 1221, 1686, 8711, 1898, 3344, 540, 2797, 2257, 269, 13018, 267, 649, 1294, 875, 13730, 2950, 666, 15407, 2797, 3157, 543, 14223, 5121, 547, 3035, 1455, 3853, 269, 6787, 707, 4690, 9114, 538, 5026, 267, 6575, 267, 610, 1776, 2361, 7357, 267, 3314, 891, 1883, 4245, 950, 3168, 547, 1198, 1689, 1384, 265, 10576, 899, 16490, 2043, 8348, 547, 1489, 707, 2014, 282, 4222, 6013, 538, 2338, 563, 265, 3763, 2312, 6859, 267, 24152, 1018, 1967, 5654, 899, 543, 4259, 24276, 19325, 2059, 519, 1259, 563, 265, 11622, 622, 609, 4540, 5238, 610, 3715, 1007, 3283, 5827, 540, 6117, 11610, 4464, 563, 265, 22676, 720, 2923, 9055, 547, 2671, 2984, 543, 6095, 1676, 3007, 585, 707, 5692, 780, 8855, 267, 1169, 1713, 3350, 5956, 609, 1507, 3268, 3144, 676, 8149, 2043, 269, 1306, 596, 3136, 3695, 6214, 543, 18523, 6278, 267, 1832, 538, 2247, 519, 11121, 3460, 540, 8115, 5716, 8087, 1472, 513, 2582, 5075, 23121, 21592, 741, 19644, 3014, 883, 513, 2518, 7613, 6444, 676, 782, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 295, 718, 540, 674, 877, 3778, 454, 763, 8065, 540, 674, 877, 729, 3323, 676, 519, 15167, 2622, 12139, 538, 476, 3422, 275, 609, 15713, 2818, 661, 569, 26943, 828, 1206, 517, 267, 8176, 717, 648, 333, 267, 29733, 966, 6387, 321, 2830, 267, 744, 1873, 12245, 15243, 344, 267, 29859, 4518, 267, 28788, 2284, 700, 20044, 267, 9546, 12047, 541, 13153, 2098, 539, 13512, 6308, 267, 20999, 2480, 1156, 5287, 543, 28788, 2284, 8125, 31121, 269, 1879, 519, 12139, 19944, 4240, 922, 960, 593, 519, 10689, 267, 1100, 2818, 941, 3773, 2394, 519, 8028, 13993, 556, 28004, 519, 1982, 538, 476, 1960, 276, 269, 16952, 2818, 723, 1044, 3773, 1142, 1032, 2094, 1287, 563, 295, 718, 540, 674, 877, 22952, 454, 15411, 281, 763, 8028, 13993, 8065, 540, 674, 877, 7046, 13815, 4927, 581, 2016, 12422, 547, 2713, 2043, 945, 723, 6913, 23146, 538, 519, 3014, 540, 8115, 543, 723, 606, 14222, 29658, 2594, 269, 1358, 4927, 581, 11221, 676, 1528, 832, 267, 607, 4330, 538, 8791, 476, 276, 540, 519, 8065, 540, 674, 877, 5665, 5773, 563, 341, 517, 2098, 539, 13512, 6308, 13815, 281, 763, 8028, 13993, 8065, 540, 674, 877, 13153, 2098, 539, 13512, 6308, 13815, 4927, 581, 2016, 547, 2713, 610, 21549, 1367, 4433, 264, 945, 723, 6913, 23146, 538, 519, 3014, 540, 8115, 543, 723, 606, 14222, 29658, 2594, 855, 945, 949, 711, 723, 1044, 538, 519, 1929, 601, 697, 585, 513, 1129, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 623, 27773, 13316, 1315, 11572, 6713, 1315, 11572, 31197, 1315, 3690, 20139, 31197, 17978, 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, 8080, 547, 938, 2951, 1770, 827, 595, 1824, 342, 9529, 16645, 1137, 543, 24104, 538, 4279, 6628, 256, 901, 4190, 3148, 538, 4789, 568, 1634, 585, 922, 23406, 14252, 543, 29271, 24781, 269, 2913, 781, 1491, 513, 3460, 998, 713, 22539, 1747, 1927, 2439, 5970, 596, 2479, 16545, 2713, 538, 513, 18912, 9661, 286, 2334, 781, 4010, 875, 9683, 519, 595, 1824, 342, 9529, 7959, 899, 256, 5994, 25865, 4565, 9693, 10754, 20898, 609, 9932, 23469, 6149, 26181, 1137, 267, 18932, 3039, 15113, 267, 543, 7874, 1004, 269, 1411, 1522, 1256, 1294, 930, 13265, 21737, 538, 519, 4610, 2439, 3719, 1946, 616, 519, 5656, 1500, 540, 9932, 23469, 10007, 286, 4270, 267, 5215, 540, 1296, 3516, 267, 22260, 6410, 2066, 519, 2244, 543, 20024, 7725, 3638, 538, 4401, 269, 3683, 942, 267, 891, 7725, 941, 7745, 1524, 883, 4130, 4773, 1572, 18574, 269, 4658, 1287, 1031, 713, 18574, 547, 1628, 8075, 267, 6821, 267, 543, 9897, 269, 1879, 6534, 547, 2011, 543, 1216, 267, 519, 4401, 538, 519, 4224, 7140, 519, 10007, 11344, 6960, 910, 8754, 267, 519, 28215, 834, 327, 2292, 23469, 3010, 3086, 267, 1577, 781, 2911, 827, 519, 1187, 8631, 910, 3695, 519, 10034, 543, 14252, 256, 2368, 2442, 3283, 1331, 25816, 2023, 6823, 7308, 8862, 831, 267, 16340, 3118, 267, 8738, 5112, 267, 932, 6235, 8805, 6577, 267, 543, 853, 578, 6823, 7308, 8862, 1245, 269, 3962, 8498, 814, 922, 2189, 19259, 543, 1915, 602, 786, 4734, 596, 16462, 811, 269, 1280, 1383, 267, 25816, 2023, 6823, 7308, 8862, 831, 568, 1419, 5219, 547, 607, 519, 1412, 309, 523, 823, 540, 519, 595, 1824, 342, 9529, 262, 1317, 540, 922, 1970, 13123, 15385, 519, 5757, 6489, 337, 2313, 269, 11531, 267, 16340, 3118, 19646, 513, 2647, 1164, 8265, 4904, 609, 9221, 18133, 4054, 267, 7504, 9221, 22756, 267, 543, 1714, 916, 269, 898, 781, 849, 1753, 547, 519, 4583, 10370, 12455, 1488, 916, 15678, 1141, 1082, 28245, 723, 18423, 2439, 4407, 6972, 1472, 891, 844, 5593, 2370, 4025, 267, 1810, 1405, 7340, 547, 2119, 2199, 13000, 971, 607, 521, 935, 525, 609, 8052, 1540, 8645, 543, 25888, 267, 2757, 2296, 7401, 267, 610, 6148, 1256, 3165, 543, 13365, 256, 962, 636, 2439, 6524, 649, 1439, 938, 5691, 7552, 267, 3314, 602, 3106, 2501, 1101, 950, 4058, 513, 1483, 7045, 269, 11408, 2327, 596, 3640, 14013, 2687, 547, 519, 4365, 267, 5957, 6899, 10887, 267, 4019, 24429, 267, 3251, 19872, 267, 543, 1246, 5046, 268, 866, 4808, 1305, 676, 1072, 8128, 269, 1656, 7058, 1018, 286, 13488, 6142, 3884, 1405, 1152, 2877, 585, 18246, 12599, 282, 3006, 267, 2348, 3795, 585, 6469, 15143, 666, 1683, 4708, 540, 2247, 1932, 2439, 2171, 4126, 713, 4367, 547, 519, 595, 1824, 342, 9529, 16645, 1137, 543, 24104, 814, 17275, 7279, 1369, 596, 269, 1703, 781, 865, 1454, 811, 547, 1451, 543, 3605, 827, 713, 9589, 7944, 540, 4279, 6628, 269, 1924, 1205, 4712, 267, 10544, 707, 30618, 267, 543, 1577, 781, 7832, 593, 713, 3078, 3460, 1927, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 8702, 267, 594, 1589, 594, 4312, 5176, 3893, 1169, 9702, 4988, 267, 594, 4126, 972, 568, 1945, 1934, 585, 1022, 1826, 540, 9702, 267, 594, 6415, 2141, 3843, 547, 1039, 547, 519, 6300, 563, 2467, 616, 1079, 27487, 1934, 267, 519, 1101, 835, 630, 519, 1283, 610, 2451, 3738, 568, 513, 2656, 10624, 585, 1346, 945, 917, 1018, 789, 1616, 267, 519, 2034, 630, 5377, 610, 1318, 10624, 264, 3947, 513, 811, 2143, 7778, 540, 519, 3549, 267, 540, 1576, 596, 666, 1175, 2638, 873, 856, 3054, 676, 14467, 593, 873, 593, 519, 1283, 10624, 563, 5472, 6402, 616, 7396, 9904, 1227, 267, 865, 952, 596, 4941, 513, 5636, 320, 9702, 621, 781, 1259, 1524, 519, 5377, 540, 519, 10624, 563, 26542, 866, 814, 2322, 1034, 14812, 593, 3180, 267, 607, 5796, 568, 4657, 782, 540, 519, 942, 267, 5225, 2638, 1354, 596, 1433, 563, 10673, 1405, 7340, 707, 9702, 6142, 952, 707, 10707, 13383, 563, 289, 639, 12671, 267, 670, 8980, 294, 328, 306, 543, 1744, 600, 13702, 518, 616, 6578, 3864, 4663, 268, 6016, 2209, 28110, 2509, 519, 6107, 2344, 267, 782, 3808, 676, 519, 3838, 2832, 540, 1818, 741, 15915, 685, 6666, 12701, 607, 2484, 607, 2009, 563, 19853, 15143, 616, 585, 476, 1240, 268, 3374, 1032, 31545, 593, 513, 5692, 547, 2263, 2342, 267, 543, 789, 6186, 873, 609, 5140, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 290, 1824, 342, 9529, 16645, 1137, 543, 24104, 257, 607, 851, 540, 834, 307, 30728, 1315, 2342, 1315, 4279, 6628, 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, 1879, 594, 3893, 7608, 883, 9466, 2160, 267, 594, 729, 936, 519, 7599, 269, 1717, 267, 607, 519, 10761, 12306, 1524, 267, 4641, 3323, 29855, 538, 910, 875, 729, 594, 2469, 547, 6488, 621, 286, 5637, 1250, 3237, 941, 3610, 267, 543, 1247, 789, 2141, 9415, 1250, 2648, 585, 1565, 267, 649, 2760, 1185, 3063, 2724, 14084, 1472, 585, 2852, 24875, 780, 14188, 2685, 267, 1282, 835, 540, 1346, 3735, 5991, 697, 4160, 7886, 29957, 998, 23749, 781, 678, 20324, 3497, 308, 1016, 1042, 9016, 630, 13433, 267, 971, 513, 13395, 7944, 6818, 593, 519, 4950, 256, 1070, 594, 16686, 2390, 930, 3407, 4030, 827, 9466, 781, 7029, 2509, 2870, 606, 8537, 1604, 585, 1053, 689, 1585, 14227, 10080, 780, 20058, 267, 9466, 814, 513, 991, 15918, 785, 16075, 3609, 799, 5921, 602, 789, 4769, 1405, 2015, 1250, 1920, 781, 2883, 4567, 950, 14045, 2436, 547, 16153, 803, 610, 711, 269, 901, 5795, 803, 10373, 8323, 6616, 602, 594, 7012, 1405, 693, 513, 19319, 1813, 547, 938, 9395, 6578, 780, 30772, 267, 2899, 15861, 267, 9466, 1558, 476, 1911, 260, 540, 1250, 7152, 2883, 991, 269, 1358, 6035, 803, 513, 21464, 2883, 5351, 10189, 9967, 540, 14828, 543, 960, 24713, 344, 3255, 3079, 540, 12029, 269, 898, 1500, 2362, 2069, 3100, 1447, 18447, 20019, 269, 4014, 5883, 942, 1063, 2090, 543, 851, 6066, 6009, 1223, 581, 4101, 267, 7487, 865, 1082, 8284, 1053, 5104, 31227, 2147, 9021, 5280, 3339, 1125, 519, 1995, 780, 4913, 267, 972, 3357, 606, 6397, 6335, 4571, 3118, 998, 1250, 8683, 558, 648, 1032, 269, 3733, 4651, 4503, 1010, 2816, 1394, 1753, 1813, 547, 6855, 2759, 10587, 269, 1284, 6836, 5329, 621, 896, 12109, 1186, 4250, 532, 621, 1522, 1860, 1250, 4081, 4876, 11874, 269, 1809, 1287, 1586, 267, 1934, 2501, 1776, 16990, 9983, 1107, 519, 11215, 2146, 693, 9466, 780, 288, 3659, 8068, 11029, 2242, 538, 1250, 2623, 543, 9900, 14593, 2394, 594, 8118, 909, 269, 5502, 540, 10385, 267, 1352, 15527, 609, 6568, 543, 4052, 5796, 28068, 803, 4724, 2200, 2139, 1369, 519, 6280, 269, 3245, 2790, 1072, 24784, 945, 6956, 519, 2566, 2189, 547, 1101, 22831, 2852, 1053, 543, 1453, 540, 4544, 2275, 20683, 4600, 547, 6595, 7482, 1305, 11735, 4481, 585, 16839, 899, 9553, 282, 9466, 5963, 25374, 3564, 9067, 3028, 780, 19185, 1394, 1631, 267, 607, 594, 5965, 547, 10927, 1985, 5614, 267, 594, 8275, 875, 13710, 891, 1296, 723, 1044, 267, 711, 1175, 27268, 855, 13948, 1932, 269, 9861, 851, 540, 513, 3309, 2875, 1560, 1141, 3025, 781, 3460, 20974, 1229, 8449, 6026, 803, 811, 982, 1022, 4928, 2479, 1705, 269, 1656, 9811, 267, 7064, 547, 519, 13784, 7341, 693, 9466, 267, 594, 7307, 547, 1205, 513, 1158, 11665, 4110, 1510, 21002, 2287, 8885, 610, 1250, 3237, 609, 524, 23774, 1782, 7963, 780, 3383, 267, 952, 596, 2811, 2542, 713, 11842, 952, 20380, 5238, 2731, 8597, 547, 17215, 3309, 5095, 267, 1577, 803, 26924, 596, 910, 1759, 593, 1250, 1378, 2833, 543, 9118, 2984, 16079 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3080, 540, 18999, 8725, 24806, 685, 9954, 602, 594, 4448, 609, 568, 968, 12663, 966, 28233, 2142, 2725, 28233, 18320, 9495, 24806, 5956, 713, 6648, 676, 4481, 5466, 1010, 8284, 4892, 268, 3043, 4892, 593, 519, 1753, 12506, 543, 8165, 538, 24918, 269, 1635, 3257, 713, 267, 24806, 1281, 711, 10714, 547, 2446, 602, 3109, 4892, 616, 849, 593, 519, 1753, 12506, 543, 8165, 538, 24918, 607, 621, 19156, 835, 540, 519, 3119, 6835, 540, 713, 6648, 269, 769, 3210, 267, 594, 5433, 602, 24806, 31234, 602, 3979, 4892, 1058, 711, 581, 5701, 8335, 950, 789, 723, 1500, 519, 1482, 19647, 547, 30176, 1977, 9111, 29143, 1227, 543, 18368, 607, 741, 3043, 13413, 269, 5565, 267, 519, 772, 2529, 269, 3112, 1175, 569, 2161, 602, 789, 4076, 16309, 538, 1863, 532, 2043, 689, 12250, 21440, 543, 8635, 267, 971, 607, 4436, 7642, 267, 2943, 798, 4986, 547, 9004, 13343, 18844, 4031, 602, 1860, 519, 3979, 1977, 2146, 269, 14936, 267, 594, 1745, 602, 24806, 2055, 1018, 966, 28233, 268, 7861, 800, 4303, 268, 1797, 547, 3979, 4892, 945, 616, 1869, 538, 6125, 720, 538, 519, 968, 1633, 540, 519, 1863, 1848, 769, 824, 1913, 267, 646, 568, 28409, 3043, 3013, 547, 9691, 556, 7721, 8533, 519, 11348, 789, 6591, 689, 741, 11802, 538, 24918, 1317, 519, 1977, 1753, 12506, 1869, 814, 24245, 1514, 16526, 543, 17536, 1182, 7133, 3109, 3013, 563, 4002, 602, 4063, 267, 594, 993, 711, 14281, 676, 18999, 8725, 24806, 685, 3310, 538, 3013, 1282, 519, 476, 736, 628, 2540, 269, 594, 993, 14281, 547, 5873, 602, 3220, 269, 9410, 13162, 3751, 267, 12789, 269, 1705, 711, 5491, 24806, 538, 1010, 968, 296, 5620, 513, 14134, 892, 4633, 269, 594, 4898, 1946, 713, 16563, 4797, 538, 1686, 267, 1256, 538, 519, 3109, 2146, 269, 901, 19595, 803, 540, 950, 789, 1289, 596, 513, 22681, 281, 513, 3109, 2729, 2339, 17728, 676, 4793, 5142, 572, 16679, 4211, 1638, 832, 543, 607, 3873, 6512, 25279, 269, 594, 3314, 602, 538, 713, 17728, 267, 4793, 5142, 572, 268, 835, 540, 519, 15713, 2818, 540, 519, 4563, 22032, 17460, 11873, 268, 3081, 602, 519, 5313, 2229, 9286, 1200, 543, 824, 2818, 540, 1200, 1920, 543, 2828, 607, 9810, 1235, 585, 741, 4550, 268, 2350, 626, 17933, 269, 2201, 602, 4063, 267, 594, 1131, 2161, 602, 15865, 5718, 666, 849, 11457, 856, 540, 519, 5313, 2229, 779, 5114, 543, 3210, 547, 519, 9739, 540, 1004, 945, 616, 711, 3043, 543, 14547, 269, 0, 763, 26499, 540, 31684, 630, 23873, 7467, 264, 12218, 923, 267, 12409, 267, 3778, 267, 28133, 11470, 267, 1715, 15733, 267, 13129, 454, 4462, 16225, 835, 540, 519, 1158, 779, 6574, 8941, 538, 713, 9735, 1433, 563, 10870, 4532, 4575, 609, 519, 3905, 569, 17191, 3703, 7467, 14266, 31684, 281, 19088, 543, 18712, 538, 5437, 476, 1001, 280, 267, 713, 568, 519, 4241, 1650, 540, 519, 9552, 540, 606, 3504, 2749, 543, 519, 1082, 2081, 621, 814, 1044, 5143, 543, 1427, 1245, 936, 942, 563, 8722, 520, 1005, 12194, 727, 21847, 267, 3532, 15831, 525, 543, 2367, 5217, 28749, 267, 891, 8941, 723, 26970, 1453, 543, 4079, 585, 5215, 540, 1296, 269, 1809, 616, 789, 2731, 1175, 8941, 286, 7316, 729, 519, 1483, 31684, 286, 1656, 1946, 616, 1004, 1869, 865, 18930, 539, 609, 713, 19416, 2749, 888, 16966, 1043, 267, 10578, 543, 16168, 538, 3160, 2268, 267, 713, 568, 519, 3501, 1433, 547, 1205, 1453, 9599, 827, 5259, 13299, 543, 20857, 909, 519, 2250, 269, 12698, 476, 277, 32504, 272, 538, 6006, 454, 268, 717, 3424, 6486, 454, 268, 1715, 15733, 454, 268, 6348, 11470, 0, 347, 30764, 21333, 27755, 28405, 8294, 12022, 20901, 1475, 30764, 21333, 476, 14180, 404, 368, 14507, 17262, 20901, 1475, 25078, 8294, 12022, 18457, 14180, 20254, 404, 368, 8294, 14507, 1475, 14534, 28405, 8294, 12022, 20901, 18457, 14180, 406, 363, 12022, 17262, 25078, 17262, 1475, 20254, 14507, 404, 361, 14534, 20901, 476, 28519, 8294, 14507, 25078, 17262, 1475, 14180, 25078, 404, 362, 20901, 12168, 359, 14534, 8294, 14534, 27755, 20254, 14180, 2008, 347, 11260, 29204, 276, 1475, 13923, 27038, 278, 1475, 1001, 274, 1475, 1015, 12168, 369, 28519, 404, 511, 20901, 7300, 1475, 25078, 28519, 8294, 14507, 404, 368, 12168, 363, 20901, 17262, 21333, 1475, 21333, 8294, 14180, 12022, 15906, 21333, 12168, 365, 8294, 17262, 406, 363, 8294, 14180, 2008, 1892, 5754, 326, 668, 6973, 545, 547, 1535, 518, 25806, 27354, 1689, 2282, 519, 18983, 334, 4211, 12365, 26448, 10465, 563, 1892, 19232, 657, 11169, 5815, 1689, 689, 2479, 6632, 547, 4005, 958, 3819, 936, 519, 1482, 8884, 563, 1892, 853, 762, 24745, 540, 12779, 657, 565, 6886, 5815, 513, 8337, 267, 689, 476, 2420, 13008, 476, 274, 11019, 290, 547, 476, 3374, 13008, 476, 274, 11019, 290, 563, 1892, 6755, 985, 10944, 1014, 2837, 9193, 616, 16830, 982, 2413, 9341, 11934, 563, 1892, 18983, 1014, 2837, 9193, 616, 967, 626, 3907, 27720, 689, 2413, 9341, 11934, 563, 2304, 2333, 538, 7777, 16358, 1436, 5210, 540, 9625, 476, 1724, 13008, 476, 274, 11019, 290, 568, 12873, 538, 12779, 657, 565, 12632, 630, 534, 2615, 11934, 264, 1369, 513, 14404, 15572, 545, 8884, 540, 2999, 476, 2412, 544, 11098, 538, 18983, 334, 4211, 12365, 26448, 31324, 538, 7262, 20337, 658, 623, 1052, 320, 630, 19640, 5087, 7266, 1537, 7147, 1040, 17623, 6755, 985, 10944, 1014, 543, 7216, 18983, 1014, 3037, 15902, 1968, 16358, 1436, 5210, 616, 6059, 998, 519, 1353, 8884, 609, 5135, 543, 7250, 24236, 15885, 540, 12779, 25660, 8328, 943, 22690, 657, 32281, 919, 543, 22104, 2572, 3144, 689, 12779, 657, 565, 12632, 269, 25392, 10865, 3037, 268, 543, 2011, 27529, 7403, 689, 2413, 20337, 658, 4000, 267, 943, 22690, 657, 559, 6510, 16358, 1436, 5210, 2693, 9765, 2627, 2011, 5210, 676, 9625, 476, 273, 13008, 476, 273, 11019, 290, 269, 5015, 267, 519, 8337, 7678, 19674, 689, 6755, 985, 10944, 1014, 21943, 3037, 7777, 16358, 1436, 5210, 267, 799, 616, 15186, 16830, 982, 3037, 5210, 4767, 538, 519, 2413, 1970, 1633, 21050, 923, 267, 547, 18983, 1014, 21943, 3037, 7777, 16358, 1436, 5210, 267, 799, 616, 6697, 547, 267, 610, 5594, 9765, 267, 3037, 5210, 4767, 538, 2413, 1970, 1633, 21050, 923, 269, 901, 2594, 540, 7777, 16358, 1436, 5210, 4386, 693, 513, 942, 950, 930, 2959, 5815, 519, 12614, 540, 519, 4102, 2582, 12620, 2747, 540, 519, 17623, 19232, 32223, 10979, 6520, 7868, 2837, 1689, 8612, 676, 891, 12779, 657, 565, 6886, 568, 10483, 676, 513, 796, 573, 27399, 267, 26464, 1689, 538, 519, 5888, 540, 9341, 1970, 1633, 10664, 269, 901, 5912, 30431, 919, 519, 9588, 543, 4162, 540, 3543, 1049, 2242, 538, 519, 2413, 21050, 923, 602, 1522, 13173, 4797, 11626, 8337, 269, 8648, 540, 1970, 2627, 5210, 14626, 728, 609, 513, 6093, 17623, 6755, 985, 10944, 1014, 267, 9341, 623, 1052, 534, 267, 968, 342, 564, 892, 27354, 13856, 676, 590, 580, 650, 7559, 267, 5839, 337, 821, 1755, 335, 614, 529, 267, 824, 533, 614, 573, 657, 704, 916, 543, 2261, 3430, 658, 6756, 7542, 985, 269, 901, 2030, 31174, 720, 568, 8719, 22883, 6053, 676, 513, 1535, 518, 25806, 27354, 13856, 676, 598, 28875, 267, 1289, 760, 614, 1749, 267, 543, 824, 6079, 2371, 267, 8984, 540, 519, 9341, 18983, 1014, 2066, 7262, 543, 3844, 623, 1052, 320, 269, 634, 4628, 1535, 518, 25806, 18508, 5526, 7620, 538, 1016, 2173, 2678, 8397, 15135, 1369, 856, 23145, 1186, 6382, 6353, 676, 6632, 18508, 267, 543, 3587, 12880, 2899, 8445, 2627, 5210, 941, 6603, 538, 519, 9998, 18983, 1014, 269, 589, 7522, 14404, 15572, 545, 8884, 630, 736, 544, 264, 24508, 891, 1079, 1979, 2345, 538, 519, 3148, 267, 16287, 1018, 729, 547, 581, 513, 8628, 32550, 2065, 1689, 538, 7262, 623, 1052, 320, 269, 634, 2539, 4763, 1166, 23768, 540, 4005, 958, 3819, 9249, 15151, 28953, 689, 5671, 518, 3063, 21353, 1400, 2127, 883, 5051, 3819, 8916, 19497, 13856, 676, 519, 6632, 27354, 269, 901, 1353, 6054, 519, 6237, 14897, 766, 540, 606, 3003, 9341, 27354, 609, 513, 2121, 5786, 540, 9265, 18913, 4028, 2825, 8337, 563, 22711, 281, 4139, 4750, 540, 15021, 30578, 910, 11730, 476, 15686, 267, 476, 272, 5437, 476, 1001, 274, 267, 9664, 476, 10082, 1700, 5908, 0, 763, 14271, 7564, 560, 1127, 773, 630, 5228, 3504, 5259, 21566, 21227, 14832, 10382, 15403, 17385, 15184, 31149, 14832, 14267, 19031, 10382, 15403, 861, 3534, 626, 327, 17505, 558, 2967, 2073, 4436, 2073, 8296, 1412, 610, 267, 693, 519, 1482, 942, 13498, 10807, 18575, 5097, 519, 23993, 540, 1079, 610, 811, 9308, 5094, 23857, 540, 8226, 269, 898, 2501, 827, 998, 519, 954, 933, 3058, 540, 10444, 23857, 1547, 901, 4145, 519, 4276, 540, 2681, 543, 2837, 630, 1721, 1383, 519, 4276, 968, 342, 1301, 3039, 25257, 3280, 2073, 2575, 543, 2230, 1547, 769, 513, 7522, 518, 2631, 267, 5348, 17561, 568, 519, 8226, 540, 10444, 15128, 676, 1071, 7721, 322, 1243, 4393, 7740, 540, 513, 10444, 1418, 538, 519, 2634, 950, 1776, 1418, 568, 25623, 269, 4658, 945, 1995, 11994, 5532, 538, 713, 1259, 616, 1572, 861, 3534, 652, 2867, 525, 610, 861, 3534, 652, 2867, 525, 563, 26239, 17561, 4386, 538, 3885, 269, 769, 835, 1353, 267, 476, 6246, 260, 540, 519, 861, 3534, 652, 2867, 525, 23500, 7150, 602, 972, 729, 693, 2547, 835, 824, 861, 3534, 652, 2867, 1851, 519, 1101, 24266, 14077, 563, 26239, 17561, 616, 14350, 1114, 11994, 269, 1635, 2933, 789, 616, 711, 2589, 540, 4713, 282, 1717, 267, 789, 666, 2049, 1813, 547, 4576, 630, 1721, 1383, 1310, 21901, 264, 610, 3075, 14001, 630, 1721, 1383, 998, 26390, 514, 11077, 30155, 1103, 20116, 267, 519, 2165, 6763, 585, 519, 11544, 540, 10444, 2157, 4586, 24357, 8344, 2343, 14583, 454, 26239, 17561, 267, 799, 568, 4810, 896, 3339, 2175, 543, 3335, 10953, 538, 6689, 267, 568, 513, 3339, 14583, 540, 8226, 269, 769, 861, 3534, 652, 2867, 525, 267, 513, 10444, 17003, 689, 835, 10444, 1110, 1275, 12153, 606, 3606, 968, 704, 4003, 892, 538, 693, 2547, 835, 824, 10444, 1110, 1275, 610, 1016, 7116, 1275, 540, 513, 2631, 269, 901, 1797, 602, 267, 585, 1383, 267, 18565, 968, 560, 6593, 892, 519, 2960, 267, 6492, 17915, 1491, 593, 1114, 968, 3333, 16747, 892, 610, 5322, 616, 10483, 676, 513, 968, 338, 895, 6100, 2859, 982, 476, 2568, 14726, 540, 5348, 17561, 616, 1634, 269, 589, 10444, 17003, 1281, 711, 2141, 723, 547, 581, 1459, 269, 3509, 861, 3534, 652, 2867, 525, 13498, 2338, 538, 2681, 543, 585, 930, 519, 2790, 14839, 540, 519, 1297, 568, 2614, 547, 9594, 519, 7801, 563, 2108, 26239, 17561, 568, 513, 17195, 282, 513, 3099, 540, 4720, 602, 2636, 9637, 547, 5352, 811, 1344, 676, 16046, 519, 12823, 543, 23993, 621, 609, 4606, 269, 11660, 2090, 609, 9196, 2409, 723, 3254, 602, 5348, 652, 2867, 525, 723, 513, 811, 1950, 3060, 539, 2634, 269, 27029, 763, 2165, 5348, 17561, 13315, 930, 824, 9259, 602, 798, 711, 2099, 513, 7453, 3095, 1063, 519, 2947, 1292, 12823, 2073, 609, 513, 1007, 4214, 540, 5348, 17561, 1373, 5941, 269, 30248, 616, 3238, 538, 4743, 5348, 17561, 269, 898, 814, 1044, 1336, 602, 4664, 666, 18427, 861, 3534, 20469, 4778, 543, 602, 930, 2043, 1268, 1518, 2338, 543, 824, 7493, 15128, 269, 769, 2043, 267, 28241, 2326, 2014, 1978, 4664, 269, 6271, 7613, 568, 519, 4743, 540, 1373, 20109, 593, 835, 781, 1378, 1560, 267, 799, 568, 15427, 676, 11287, 1776, 1268, 1373, 20109, 269, 634, 2790, 14839, 540, 5705, 527, 956, 602, 13173, 9275, 610, 2219, 1913, 729, 849, 1644, 547, 861, 3534, 17561, 269, 769, 1840, 547, 519, 2947, 1292, 12823, 267, 5179, 1983, 538, 4276, 609, 6217, 267, 585, 1383, 267, 666, 849, 9594, 861, 3534, 17561, 269, 901, 7613, 1131, 8915, 3294, 538, 602, 519, 1268, 27498, 513, 1978, 14302, 609, 513, 3280, 269, 4935, 267, 609, 3670, 10444, 23857, 630, 515, 2130, 267, 7487, 267, 512, 8463, 267, 4743, 267, 1159, 2454, 267, 5179, 1983, 264, 13977, 2009, 1079, 17574, 10659, 540, 23857, 1267, 563, 763, 24254, 17003, 540, 5348, 17561, 568, 1572, 606, 1802, 1356, 538, 519, 2296, 25082, 3332, 1547, 634, 861, 3534, 20469, 3606, 14815, 568, 1572, 21276, 1547, 634, 21276, 666, 581, 538, 610, 856, 540, 2219, 267, 543, 538, 519, 8545, 2013, 519, 2707, 540, 519, 8226, 568, 2312, 269, 1280, 1383, 267, 930, 861, 3534, 652, 2867, 525, 666, 711, 1152 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 30144, 4522, 543, 14779, 666, 581, 9738, 676, 2348, 513, 1434, 6640, 6296, 563, 1432, 2186, 540, 834, 332, 528, 940, 1268, 257, 616, 596, 286, 1879, 519, 15372, 4422, 1055, 267, 798, 596, 7914, 856, 540, 5127, 11235, 547, 1376, 519, 1554, 267, 610, 798, 596, 32603, 1394, 896, 519, 29198, 2394, 519, 1360, 2063, 8792, 888, 2171, 666, 782, 798, 513, 2603, 540, 1919, 547, 2327, 602, 649, 1376, 1142, 1554, 609, 513, 2635, 4522, 543, 14779, 267, 7488, 540, 875, 938, 6640, 13467, 8428, 689, 835, 1776, 563, 5978, 4703, 666, 6336, 7509, 267, 3226, 952, 649, 723, 513, 12402, 547, 1205, 3636, 693, 3781, 269, 769, 1249, 267, 2687, 547, 930, 1382, 267, 1216, 2306, 909, 1472, 476, 3199, 260, 540, 519, 2597, 649, 6336, 16074, 563, 5719, 5139, 1674, 949, 1267, 689, 713, 267, 543, 607, 649, 782, 917, 267, 18024, 12651, 519, 1981, 540, 10733, 2068, 269, 4107, 1004, 2693, 798, 4235, 538, 519, 544, 1941, 902, 267, 1034, 1419, 7401, 610, 6995, 610, 5310, 513, 4829, 10433, 269, 2368, 3409, 602, 6995, 543, 7401, 616, 1019, 675, 9455, 267, 855, 1866, 1631, 8969, 713, 3409, 269, 4014, 621, 666, 581, 15755, 267, 4829, 10433, 568, 4440, 1732, 585, 20697, 267, 6704, 23494, 1223, 5732, 3441, 519, 19596, 540, 707, 4522, 563, 7197, 540, 721, 4440, 4465, 1405, 18178, 938, 6640, 10425, 267, 2436, 621, 568, 6995, 610, 7401, 267, 855, 6704, 513, 4837, 540, 1216, 786, 849, 948, 538, 3289, 7992, 707, 1560, 1354, 519, 1554, 5956, 563, 2791, 4312, 2693, 4862, 519, 8360, 834, 17954, 752, 9724, 568, 519, 1034, 1271, 7594, 540, 519, 1554, 2437, 16505, 9724, 12777, 1797, 8840, 707, 3728, 269, 2659, 1560, 568, 1970, 593, 1648, 2094, 596, 6170, 513, 2603, 540, 942, 693, 3781, 17509, 630, 20365, 12008, 3108, 1916, 28848, 14254, 711, 1152, 25242, 707, 1648, 2157, 543, 2337, 596, 1445, 1732, 538, 960, 610, 538, 1153, 267, 855, 621, 849, 2337, 609, 1082, 824, 3344, 540, 707, 2168, 543, 2790, 1072, 269, 1306, 609, 1022, 7594, 267, 4006, 1058, 581, 3908, 269, 1924, 798, 3054, 513, 3870, 543, 723, 513, 2635, 14254, 2336, 27662, 532, 707, 4522, 454, 2171, 4126, 602, 3025, 786, 11453, 741, 4522, 1312, 538, 519, 6640, 543, 693, 3781, 269, 2368, 723, 10645, 602, 7738, 707, 4522, 538, 519, 6640, 568, 711, 607, 1271, 1317, 596, 2907, 1705, 621, 519, 3781, 1354, 543, 972, 18387, 1405, 1044, 1022, 1426, 13881, 2094, 563, 4407, 10169, 4977, 267, 519, 3781, 568, 950, 17900, 666, 5531, 593, 519, 4522, 267, 11469, 543, 14779, 267, 3226, 950, 13204, 3603, 630, 5408, 1657, 1040, 901, 568, 1946, 707, 6640, 2973, 568, 1175, 607, 1271, 607, 707, 3781, 569, 2973, 543, 8617, 29781, 568, 1898, 547, 4509, 513, 2635, 5711, 6296, 269, 1306, 851, 540, 1434, 5711, 1416, 9015, 267, 596, 849, 991, 547, 1294, 707, 19239, 626, 563, 1432, 5711, 1416, 2472, 1058, 596, 946, 888, 2521, 938, 645, 3918, 26059, 18027, 2752, 11862, 3911, 850, 29392, 335, 4292, 267, 7429, 824, 21491, 770, 525, 267, 1142, 3099, 540, 645, 3918, 26059, 18027, 2752, 11862, 3911, 850, 3568, 938, 3532, 543, 7920, 7738, 543, 23906, 515, 940, 4542, 563, 4517, 585, 707, 7362, 23906, 1156, 619, 267, 2119, 938, 645, 3918, 26059, 18027, 2752, 11862, 9941, 575, 1564, 267, 7429, 6671, 7362, 23906, 1156, 619, 799, 1152, 9633, 17627, 267, 782, 5991, 1823, 22165, 327, 13428, 3149, 2285, 596, 9434, 6015, 676, 22215, 3983, 7362, 693, 519, 2707, 269, 0, 25440, 568, 4190, 269, 7591, 568, 1271, 269, 7591, 568, 519, 1259, 538, 799, 1453, 1332, 883, 519, 4079, 602, 786, 835, 1554, 1413, 1310, 938, 4541, 269, 1703, 616, 513, 8536, 2081, 513, 6689, 666, 581, 4190, 267, 855, 649, 16119, 3494, 602, 1930, 25804, 267, 1582, 30928, 1404, 1058, 2141, 581, 693, 519, 8998, 269, 11822, 267, 1930, 25804, 9162, 616, 513, 8748, 1259, 547, 7520, 713, 269, 4208, 798, 649, 1589, 713, 286, 3367, 593, 2336, 2467, 568, 513, 1434, 2601, 602, 1082, 1453, 2648, 519, 5191, 540, 1373, 13964, 269, 634, 1404, 2326, 789, 5531, 267, 2436, 789, 616, 5810, 610, 8371, 543, 16853, 267, 616, 1930, 25804, 269, 1358, 666, 1788, 741, 4690, 543, 2093, 5196, 891, 2326, 543, 2490, 873, 883, 1018, 789, 7287, 269, 589, 7936, 666, 581, 513, 18338, 781, 2156, 558, 267, 519, 1376, 540, 513, 3954, 267, 610, 513, 9059, 18389, 256, 589, 8768, 666, 581, 519, 1376, 540, 513, 13862, 610, 519, 2027, 12146, 538, 513, 9059, 1494, 542, 269, 1284, 1058, 3815, 538, 519, 1482, 1761, 585, 5876, 538, 519, 2200, 543, 9162, 649, 3142, 883, 519, 1753, 269, 1703, 786, 2141, 581, 513, 1747, 585, 873, 539, 9162, 602, 1246, 707, 1126, 779, 4690, 267, 855, 649, 3494, 519, 1655, 1259, 547, 7520, 2620, 267, 6209, 1404, 568, 676, 2348, 513, 15977, 540, 2241, 267, 2067, 9162, 602, 666, 581, 8726, 519, 1126, 6499, 873, 547, 581, 269, 3371, 616, 938, 1283, 25926, 585, 519, 1826, 540, 9162, 602, 786, 5000, 5191, 267, 5876, 543, 7115, 538, 707, 2370, 3283, 563, 26594, 2679, 7161, 616, 513, 1390, 1376, 547, 713, 2186, 540, 1404, 267, 799, 7512, 6310, 3206, 267, 1966, 9010, 543, 8901, 4656, 269, 589, 2241, 1305, 540, 7161, 666, 1831, 513, 13486, 267, 513, 2777, 267, 513, 1259, 547, 1293, 543, 513, 1259, 547, 2490, 519, 16545, 883, 4641, 269, 3399, 609, 513, 1305, 540, 11308, 7161, 543, 4228, 607, 707, 1126, 9428, 538, 2085, 543, 1719, 256, 589, 1906, 540, 938, 19463, 12478, 1934, 1331, 18087, 680, 320, 543, 1230, 6339, 1460, 269, 5637, 12478, 5000, 513, 5458, 3099, 540, 1983, 267, 689, 5885, 2565, 3206, 267, 5386, 543, 14407, 5179, 1983, 267, 998, 547, 16177, 543, 9316, 950, 1031, 538, 2516, 269, 20646, 2880, 2336, 306, 15036, 607, 2241, 607, 513, 14950, 540, 1957, 543, 22916, 976, 610, 19444, 7888, 23445, 568, 513, 8748, 1747, 547, 1376, 1934, 269, 9741, 3283, 786, 2253, 547, 1665, 1118, 267, 543, 607, 789, 1332, 267, 2253, 547, 2328, 543, 2721, 5961, 8204, 741, 4690, 269, 11559, 2370, 3283, 547, 1589, 827, 1114, 18116, 267, 15437, 543, 5546, 789, 1223, 1118, 547, 1489, 2565, 3206, 543, 5386, 5179, 1852, 269, 17006, 5862, 543, 1114, 7499, 23447, 786, 1152, 4228, 593, 519, 7772, 543, 1404, 1761, 256, 1306, 2370, 3283, 1332, 267, 2119, 856, 811, 1950, 3785, 899, 2870, 2458, 1137, 689, 2759, 13050, 17476, 547, 22938, 20592, 609, 31629, 1426, 10833, 910, 1390, 585, 5885, 9657, 543, 6940, 269, 1411, 1223, 1256, 1711, 1148, 4773, 1759, 593, 741, 19463, 2835, 610, 2984, 2336, 299, 5366, 2694, 616, 513, 4105, 851, 540, 1404, 543, 5000, 1909, 1404, 267, 10203, 543, 811, 269, 11822, 11308, 4773, 616, 513, 17681, 1259, 547, 2253, 10690, 2694, 1404, 267, 855, 596, 666, 849, 798, 713, 609, 2067, 2326, 899, 10007, 267, 16115, 267, 598, 24329, 543, 811, 269, 9741, 3283, 786, 1293, 267, 1711, 5961, 267, 610, 1256, 2490, 741, 10690, 2694, 883, 1909, 25178, 2326, 899, 2048, 31817, 685, 610, 17339, 256, 1403, 713, 1858, 540, 1404, 4690, 596, 267, 835, 540, 938, 19463, 12478, 568, 7101, 32256, 13983, 345, 269, 6282, 832, 540, 18991, 2241, 267, 1930, 25804, 9162, 267, 519, 6216, 24151, 519, 1523, 602, 519, 12863, 519, 11442, 267, 519, 811, 4055, 585, 1404, 267, 5876, 543, 9345, 972, 666, 581, 563, 28012, 3283, 2648, 547, 1847, 741, 4703, 910, 865, 1577, 779, 5000, 713, 609, 1404, 2326, 602, 948, 873, 798, 865, 256, 901, 666, 581, 1930, 8694, 2326, 585, 519, 13964, 899, 1544, 802, 543, 18052, 547, 1118, 21677, 6030, 267, 1318, 998, 547, 11369, 1115, 543, 1187, 23764, 585, 14407, 5179, 1216, 1404, 269, 634, 811, 1930, 25804, 8694, 519, 1732, 585, 2370, 3283, 547, 2263, 741, 9345, 543, 2168, 2115, 563, 288, 1906, 3803, 4555, 8170, 1576, 267, 593, 1283, 540, 782, 713, 267, 649, 4363, 4946, 4190, 2835, 267, 1404, 10863, 543, 6266, 540, 9205, 942, 256, 1403, 596, 616, 5461, 538, 2542, 811, 827, 519, 3069, 543, 1382, 1472, 1930, 25804, 1404, 267, 649, 3810, 4363, 519, 3733, 3689, 12866, 13012, 543, 476, 1911, 25569, 1677, 903, 7270, 269, 8414, 4730, 2336, 26466, 601, 766, 27752, 267, 4065, 543, 7591, 28154, 0, 291, 2350, 320, 6511, 7233, 11588, 281, 1133, 557, 4979, 519, 1160, 1597, 12700, 454, 19547, 9229, 17564, 593, 667, 2350, 320, 6511, 7233, 11588, 12700, 1160, 1597, 454, 291, 2350, 320, 6511, 2371, 616, 711, 1152, 11617, 13267, 855, 849, 2709, 513, 21318, 540, 2640, 269, 3245, 5355, 11255, 2011, 2298, 547, 4227, 2566, 2157, 267, 891, 2371, 723, 1044, 23963, 8810, 547, 3986, 938, 1134, 5630, 269, 769, 713, 3102, 3391, 267, 649, 786, 5490, 883, 519, 3875, 2640, 540, 1951, 8619, 6511, 2371, 267, 20483, 676, 6405, 2963, 269, 2913, 779, 2263, 519, 13300, 540, 713, 15999, 2030, 2336, 291, 2350, 320, 6511, 2371, 616, 1634, 607, 2067, 2011, 1625, 13294, 269, 3414, 741, 3762, 267, 789, 10110, 5739, 23197, 6464, 971, 607, 6101, 24957, 267, 22904, 2940, 267, 1535, 22005, 267, 543, 959, 747, 3271, 334, 26120, 267, 4122, 1336, 538, 7622, 2472, 267, 19267, 267, 543, 11647, 269, 3194, 2982, 602, 1951, 8619, 6511, 2371, 3927, 15972, 891, 11255, 14107, 267, 3976, 5355, 519, 2298, 540, 519, 2011, 649, 13236, 563, 19102, 848, 27488, 20946, 454, 7628, 519, 1184, 540, 15591, 267, 1951, 8619, 6511, 2371, 5305, 5135, 267, 1818, 873, 5140, 15274, 585, 938, 11255, 5624, 269, 634, 2333, 538, 5135, 2157, 666, 723, 513, 2318, 1764, 593, 938, 2949, 1072, 543, 1134, 5630, 269, 3502, 1152, 1281, 621, 1683, 721, 609, 4195, 2011, 267, 855, 621, 849, 2337, 5818, 7607, 267, 1445, 267, 543, 10332, 1145, 563, 26670, 766, 28239, 543, 21079, 13262, 454, 21296, 2090, 723, 3254, 602, 1373, 1472, 2371, 267, 1519, 1951, 8619, 6511, 267, 666, 21592, 7099, 543, 2569, 2566, 2157, 269, 634, 4527, 540, 2470, 16280, 814, 513, 22196, 1198, 593, 938, 4703, 543, 8186, 269, 634, 7524, 3039, 2681, 540, 1951, 8619, 6511, 3762, 666, 1711, 513, 2631, 540, 22471, 1006, 543, 11005, 267, 4543, 547, 3895, 513, 12560, 1604, 693, 1753, 610, 538, 519, 9036, 563, 22517, 739, 8605, 2032, 543, 24517, 1674, 454, 4415, 741, 2702, 547, 1625, 1518, 2011, 543, 2333, 5135, 2157, 267, 1951, 8619, 6511, 2371, 3565, 547, 15398, 7607, 543, 5834, 269, 3194, 5267, 602, 2348, 2371, 538, 11255, 5624, 666, 2087, 5042, 2773, 543, 3007, 12732, 269, 1773, 5217, 513, 1951, 8619, 6511, 2030, 593, 707, 11380, 610, 2282, 707, 960, 1858, 666, 948, 596, 3251, 5059, 543, 10069, 1242, 2429, 519, 1554, 563, 291, 2350, 320, 6511, 2371, 723, 519, 7415, 2702, 547, 5305, 7509, 883, 519, 2011, 998, 513, 1184, 1572, 1098, 17508, 269, 901, 2067, 18519, 4328, 1198, 666, 581, 3226, 6225, 1282, 3819, 12405, 610, 538, 4525, 609, 1970, 11195, 269, 1635, 2810, 519, 7509, 538, 519, 2011, 267, 1951, 8619, 6511, 2371, 948, 13468, 3819, 2960, 267, 15319, 31462, 1846, 267, 543, 7929, 2152, 563, 3519, 6984, 32438, 593, 667, 2350, 320, 6511, 7233, 11588, 12700, 1160, 1597, 454, 291, 2350, 320, 6511, 2371, 616, 811, 982, 1175, 4190, 23598, 585, 938, 5321, 543, 13646, 269, 4256, 23963, 8810, 2640, 8831, 3564, 15312, 267, 1818, 873, 606, 1898, 1840, 547, 938, 11255, 5624, 269, 3245, 1625, 4328, 519, 2011, 649, 13236, 547, 4227, 2566, 2157, 543, 7393, 7607, 267, 1951, 8619, 6511, 2371, 3142, 513, 5905, 540, 2470, 602, 9797, 5222, 938, 1072, 543, 1134, 5630, 563, 11902, 17988, 827, 667, 2350, 320, 6511, 7233, 11588, 12700, 1160, 1597, 454, 272, 269, 3657, 1951, 8619, 6511, 2371, 5078, 585, 10820, 609, 10130, 888, 8133, 267, 1951, 8619, 6511, 2371, 616, 3622, 2922, 585, 10820, 609, 10130, 269, 2755, 789, 2270, 7135, 602, 949, 581, 7646, 569, 6757, 952, 28041, 267, 519, 1377, 540, 17219, 568, 5266, 1970, 269, 1717, 267, 621, 568, 5227, 547, 1832, 873, 856, 540, 3914, 540, 8049, 10130, 610, 547, 3442, 4620, 7888, 8677, 267, 971, 607, 667, 2350, 320, 6511, 14345, 1092, 267, 799, 723, 7646, 518, 2360, 563, 273, 269, 1215, 1419, 1058, 594, 1216, 1250, 1951, 8619, 6511, 2030, 888, 291, 2350, 320, 6511, 2371, 4782, 9793, 14450, 269, 898, 568, 1655, 547, 1450, 519, 3037, 547, 13148, 3819, 856, 1063 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2304, 30688, 2238, 1299, 3756, 585, 1164, 1153, 12746, 625, 3992, 1544, 585, 10026, 1153, 2596, 1557, 2542, 269, 9521, 1034, 11049, 1299, 6169, 15105, 2533, 267, 649, 12575, 585, 3388, 281, 8239, 267, 10259, 267, 18685, 267, 2856, 2095, 267, 4845, 2497, 267, 1299, 811, 1205, 3323, 1631, 269, 634, 12746, 625, 3296, 519, 12746, 625, 3296, 729, 6569, 689, 519, 2893, 538, 476, 1220, 276, 538, 3870, 540, 513, 2854, 1557, 30971, 616, 1447, 4448, 547, 519, 1699, 1164, 1153, 269, 901, 3381, 11225, 12746, 625, 1018, 2306, 606, 21658, 1114, 689, 513, 14165, 875, 666, 12746, 625, 948, 7794, 606, 1557, 2638, 856, 938, 695, 15879, 4878, 4214, 522, 563, 301, 10494, 3992, 585, 3214, 281, 4214, 1299, 1806, 476, 274, 281, 1839, 12746, 625, 3992, 585, 3214, 281, 4214, 1299, 1806, 1644, 1353, 2326, 1164, 1153, 6030, 269, 6732, 10782, 1164, 1153, 1557, 12746, 625, 5399, 540, 15698, 519, 4487, 1767, 267, 547, 917, 950, 596, 917, 267, 543, 950, 596, 798, 711, 917, 602, 568, 7326, 519, 3007, 3032, 7815, 610, 1291, 1058, 581, 519, 1101, 4845, 538, 519, 10388, 1557, 269, 634, 1739, 8385, 7902, 607, 23602, 540, 513, 10782, 12746, 625, 2479, 2854, 538, 513, 1164, 1153, 1557, 16311, 538, 519, 11067, 2023, 2022, 2511, 1045, 527, 1049, 563, 295, 2345, 1041, 1603, 6030, 585, 10026, 267, 1647, 267, 543, 1164, 1153, 1053, 1628, 1983, 538, 1603, 11707, 267, 5220, 267, 9433, 267, 3594, 267, 543, 811, 269, 8342, 5500, 5961, 827, 2731, 3983, 12746, 625, 2854, 676, 1164, 1153, 1053, 19315, 267, 543, 3579, 533, 923, 827, 2731, 3983, 12746, 625, 2854, 676, 1164, 1153, 1053, 849, 267, 2731, 3983, 12746, 625, 2854, 676, 1164, 1153, 1053, 269, 1323, 11530, 625, 3211, 519, 2630, 12326, 2270, 10677, 539, 960, 547, 581, 1031, 676, 3610, 538, 1153, 2262, 6292, 12746, 625, 476, 280, 2262, 6292, 12746, 625, 476, 1015, 1164, 563, 763, 1739, 8385, 7902, 607, 23602, 540, 513, 10782, 12746, 625, 2479, 2854, 538, 513, 1164, 1153, 1557, 16311, 538, 519, 543, 4334, 1557, 585, 1164, 1153, 269, 1452, 616, 519, 23602, 540, 519, 10782, 12746, 625, 2479, 2854, 538, 513, 1164, 1153, 1557, 16311, 1200, 4552, 1350, 626, 2989, 538, 519, 4764, 899, 9224, 4552, 1310, 513, 14229, 324, 2763, 269, 5589, 9364, 3842, 4757, 320, 7008, 2053, 2442, 543, 16168, 1592, 540, 12746, 625, 1031, 538, 1164, 1153, 3594, 1775, 1589, 930, 540, 873, 616, 7168, 6427, 633, 269, 4841, 1107, 4283, 547, 3094, 606, 1269, 8517, 14172, 2328, 513, 476, 4335, 2262, 1557, 593, 707, 1655, 1449, 7041, 1505, 267, 610, 267, 707, 1655, 1353, 5578, 3498, 269, 12736, 2996, 540, 519, 968, 342, 528, 560, 12746, 625, 2479, 2854, 538, 513, 1164, 1153, 1557, 892, 16311, 563, 310, 528, 560, 12746, 625, 689, 1164, 1153, 3594, 646, 12038, 609, 519, 7326, 602, 666, 1152, 2097, 689, 1995, 267, 899, 513, 18560, 945, 4682, 9420, 1317, 646, 6743, 693, 513, 3859, 24256, 269, 634, 10782, 12746, 625, 538, 1164, 1153, 3594, 519, 10782, 12746, 625, 538, 1164, 1153, 3594, 818, 1091, 4359, 2362, 7005, 2565, 1557, 1806, 521, 9346, 2228, 1870, 1544, 5998, 691, 5993, 1867, 31065, 269, 589, 1592, 27581, 1459, 9644, 3585, 3983, 12746, 625, 543, 23199, 3144, 689, 1164, 1153, 3594, 4849, 789, 2811, 2731, 1806, 540, 269, 4400, 1153, 1893, 6575, 1053, 1224, 543, 5659, 513, 10388, 4633, 543, 2328, 513, 10388, 1557, 513, 6863, 3992, 6212, 593, 12746, 625, 543, 2262, 563, 11947, 1153, 7005, 3992, 4566, 1299, 2238, 1265, 1863, 1164, 1153, 7005, 1893, 6575, 3992, 4566, 267, 4116, 2200, 543, 6437, 538, 8239, 11783, 23016, 547, 543, 4319, 6177, 267, 9849, 1250, 32482, 2033, 512, 261, 325, 4418, 1846, 327, 7398, 267, 6704, 6995, 1299, 2324, 593, 606, 1557, 827, 519, 530, 341, 585, 23128, 787, 24737, 2072, 2395, 1129, 324, 632, 737, 1716, 580, 1011, 1709, 1557, 269, 1358, 5030, 538, 513, 6093, 28180, 8378, 609, 4584, 564, 31966, 602, 11696, 1194, 562, 3599, 23128, 3419, 534, 781, 4522, 646, 12038, 609, 519, 7326, 602, 666, 1152, 2097, 689, 1995, 267, 899, 513, 18560, 945, 4682, 9420, 1317, 646, 6743, 693, 513, 3859, 24256, 1510, 835, 540, 1346, 10833, 609, 513, 8930, 23346, 538, 621, 543, 1631, 4422, 1472, 519, 2197, 6340, 693, 1164, 3506, 827, 519, 563, 4415, 713, 2985, 10782, 12746, 625, 2854, 538, 513, 1164, 1153, 1557, 1835, 2946, 15530, 1612, 561, 10782, 12746, 625, 2854, 538, 513, 1164, 1153, 1557, 1557, 602, 844, 7627, 269, 4400, 1153, 23199, 543, 12746, 625, 596, 917, 267, 1256, 952, 621, 3884, 1406, 1483, 1164, 1153, 1557, 608, 518, 14186, 267, 621, 779, 1869, 865, 16168, 602, 621, 3085, 1406, 2339, 269, 10374, 1557, 593, 2956, 540, 1153, 2069, 519, 2956, 540, 1153, 2069, 6013, 538, 519, 1249, 602, 519, 2221, 538, 2101, 2665, 713, 4523, 1317, 540, 1164, 563, 11947, 1153, 1557, 1603, 585, 519, 2893, 18791, 1557, 1603, 1983, 693, 519, 1164, 1153, 543, 2852, 3341, 1377, 269, 476, 1839, 1187, 333, 5006, 11320, 528, 560, 12746, 625, 2479, 2854, 538, 1164, 1153, 3594, 1082, 10782, 12746, 625, 1031, 538, 513, 1164, 1153, 1557, 5767, 9708, 1557, 540, 1158, 7484, 25319, 269, 590, 1846, 2744, 606, 1557, 267, 6336, 519, 12746, 625, 1315, 579, 322, 3081, 621, 781, 13854, 609, 7004, 540, 1449, 630, 18485, 32650, 15326, 1164, 264, 782, 616, 11504, 1714, 524, 518, 761, 334, 1164, 1153, 840, 1606, 520, 269, 1937, 560, 12746, 625, 2479, 2854, 538, 513, 1164, 1153, 1557, 646, 12038, 609, 519, 7326, 602, 666, 1152, 2097, 689, 1995, 267, 899, 513, 18560, 945, 4682, 9420, 1317, 646, 6743, 693, 513, 3859, 24256, 1510, 835, 540, 1346, 10833, 609, 513, 8930, 23346, 538, 621, 543, 1631, 4422, 1472, 519, 2197, 6340, 693, 1164, 3506, 827, 519, 12178, 540, 3168, 693, 513, 3859, 24256, 1510, 835, 269, 0, 2304, 7650, 540, 519, 14646, 27315, 7719, 1630, 16251, 9101, 8905, 454, 11990, 27315, 7719, 1630, 1054, 1107, 513, 5758, 14646, 27315, 7719, 1630, 1054, 729, 1419, 4330, 607, 3946, 727, 543, 519, 9101, 8905, 3144, 676, 5869, 671, 543, 1630, 1054, 1185, 1044, 6074, 5402, 269, 18307, 4370, 585, 323, 779, 14364, 593, 519, 3781, 540, 32414, 476, 1691, 267, 476, 5908, 276, 267, 14646, 27315, 7719, 1630, 1054, 14612, 998, 29827, 1633, 883, 20424, 807, 267, 1141, 267, 513, 1906, 2395, 2663, 267, 646, 729, 1336, 267, 8929, 267, 543, 5747, 540, 1010, 16398, 3540, 2112, 14787, 1196, 7703, 1087, 1427, 571, 806, 1630, 1054, 779, 9101, 8905, 543, 8761, 519, 14789, 543, 8395, 1132, 563, 10287, 519, 9101, 8905, 540, 14646, 27315, 7719, 1630, 1054, 267, 835, 540, 1686, 779, 1034, 29200, 18272, 1231, 267, 607, 646, 19679, 689, 11067, 2023, 267, 546, 322, 267, 543, 554, 573, 585, 1896, 2395, 538, 7013, 29827, 1633, 1354, 1373, 8970, 1229, 269, 2494, 327, 2863, 281, 16439, 519, 9101, 8905, 540, 14646, 27315, 7719, 1630, 1054, 2221, 596, 666, 1294, 3592, 1169, 5544, 593, 1630, 1054, 779, 9101, 8905, 689, 585, 323, 779, 14364, 547, 519, 3135, 540, 1010, 11318, 607, 1630, 1054, 4718, 873, 269, 3627, 27315, 7719, 1630, 1054, 9101, 8905, 19150, 538, 804, 15586, 267, 544, 323, 1246, 519, 13009, 540, 7022, 13274, 11181, 779, 18272, 514, 689, 585, 323, 779, 16222, 538, 11067, 2023, 267, 546, 322, 269, 570, 646, 1147, 337, 3430, 2486, 13384, 832, 19150, 1142, 5614, 543, 2887, 2059, 1630, 1054, 779, 9101, 8905, 1082, 540, 519, 1482, 9897, 543, 8075, 1031, 676, 1630, 1054, 616, 1869, 538, 6228, 543, 649, 3643, 873, 593, 713, 32751, 542, 267, 799, 568, 1936, 730, 676, 25422, 29627, 1758, 1242, 8128, 593, 519, 13274, 11181, 26923, 543, 14646, 27315, 7719, 1630, 1054, 779, 8184, 563, 763, 1071, 15926, 2869, 2209, 14646, 27315, 7719, 1630, 1054, 513, 4759, 540, 513, 4583, 9117, 1920, 5869, 671, 3366, 1630, 1054, 593, 519, 9101, 8905, 883, 20424, 807, 269, 5080, 337, 3430, 2777, 9754, 281, 1630, 1054, 9101, 8905, 4663, 519, 14646, 27315, 7719, 1630, 1054, 9101, 8905, 4663, 568, 13950, 676, 519, 1147, 337, 3430, 2777, 9754, 538, 804, 15586, 267, 544, 323, 269, 7348, 713, 4786, 547, 1246, 519, 9101, 8905, 540, 14646, 27315, 7719, 1630, 1054, 269, 634, 1739, 568, 513, 16606, 540, 513, 2010, 5296, 5423, 676, 543, 4319, 1494, 614, 827, 14646, 27315, 7719, 1630, 1054, 781, 9101, 8905, 267, 1010, 6668, 519, 8905, 540, 14646, 27315, 7719, 1630, 1054, 563, 11990, 27315, 7719, 1630, 1054, 9101, 8905, 4786, 630, 20931, 7851, 264, 1496, 330, 1512, 534, 26818, 4954, 858, 324, 316, 593, 32312, 1260, 1863, 11288, 593, 27216, 3091, 1246, 519, 8905, 3144, 676, 519, 18272, 514, 540, 7022, 705, 12646, 13274, 11181, 607, 646, 19679, 689, 585, 323, 781, 16222, 593, 32414, 476, 1691, 267, 476, 5908, 276, 269, 901, 2985, 2882, 513, 6609, 540, 14646, 27315, 7719, 1630, 1054, 781, 1272, 540, 14646, 27315, 7719, 1630, 1054, 12995, 676, 14646, 8242, 1010, 14646, 27315, 7719, 1630, 1054, 9101, 8905, 269, 22735, 2443, 26675, 814, 11303, 519, 26923, 540, 7022, 705, 12646, 13274, 11181, 2479, 2094, 602, 3781, 538, 476, 5908, 276, 950, 646, 729, 8929, 676, 14646, 27315, 7719, 1630, 1054, 269, 4425, 16251, 9101, 8905, 2278, 2328, 1945, 827, 3054, 1100, 991, 547, 581, 16681, 267, 1175, 606, 7650, 563, 763, 4729, 25856, 1472, 1665, 267, 513, 7911, 945, 7938, 9231, 569, 2337, 14646, 27315, 7719, 1630, 1054, 9101, 689, 585, 323, 779, 14364, 1310, 646, 18272, 7149, 7022, 13274, 11181, 585, 476, 1321, 3078, 2395, 646, 12599, 609, 1630, 1054, 2059, 1010, 9101, 8905, 621, 568, 6273, 676, 513, 7911, 945, 4371, 519, 556, 1231, 540, 1630, 1054, 779, 7504, 517, 32414, 476, 1691, 267, 476, 5908, 276, 519, 17192, 269, 17451, 2094, 519, 7372, 476, 1321, 6377, 812, 327, 2863, 476, 5611, 1296, 3516, 267, 1004, 723, 1044, 1427, 571, 1424, 14646, 27315, 7719, 1630, 1054, 781, 9101, 8905, 1631, 972, 616, 1668, 19150, 4534, 855, 789, 6133, 856, 3533, 563, 22517, 1054, 779, 9101, 8905, 855, 835, 812, 267, 519, 4583, 3942, 17076, 14646, 27315, 7719, 1630, 1054, 1623, 24007, 30425, 281, 606, 7650, 540, 7432, 2798, 563, 268, 3627, 27315, 7719, 1630, 1054, 9101, 8905, 4663, 3391, 546, 1511, 512, 11336, 2982, 513, 1686, 10889, 519, 20424, 807, 13272, 540, 519, 1494, 558, 659, 5757, 1141, 1630, 1054, 18084, 538, 32414, 476, 5908, 276, 1247, 12394, 547, 25176, 1739, 519, 26923, 540, 7022, 705, 12646, 13274, 11181, 563, 268, 2201, 795, 2317, 476, 1839, 628, 267, 476, 1001, 274, 267, 1775, 15336, 519, 3845, 1063, 519, 12566, 5394, 564, 1141, 28114, 513, 795, 2158, 554, 573, 14646, 27315, 7719, 1630, 1054, 543, 30602, 5869, 671, 267, 547, 554, 22976, 9440, 267, 795, 821, 781, 1753, 563, 7476, 339, 903, 7921, 13931, 25071, 3391, 1630, 1054, 779, 851, 532, 1913, 547, 14646, 26270, 20477, 267, 543, 6799, 606, 7650, 540, 519, 519, 9101, 8905, 540, 14646, 27315, 7719, 1630, 1054, 269, 15775, 972, 281, 519, 1630, 1054, 9101, 8905, 5956, 693, 519, 3135, 540, 7022, 705, 12646, 13274, 11181, 779, 26923, 2443, 585, 323, 779, 16222, 693, 476, 276, 1556, 476, 1015, 628, 588, 562, 342, 267, 538, 25708, 269, 634, 476, 5611, 628, 16683, 540, 7022, 13274, 11181, 781, 26923, 2063, 1032, 3357, 609, 1082, 16033, 725, 835, 1259, 547, 723, 707, 1378, 862, 655, 2610, 1765, 604, 596, 2661, 1472, 11067, 2023, 267, 546, 322, 267, 693, 2547, 28934, 547, 1246, 18272, 514, 14646, 27315, 7719, 1630, 1054, 781, 9101, 8905, 269, 7476, 3758, 0, 3719, 519, 635, 534, 2583, 267, 606, 1226, 652, 6929, 23617, 1004, 945, 32170, 519, 10889, 14900, 267, 941, 3735, 1260, 619, 547, 519, 1098, 24406, 6523, 1004, 1185, 7745, 2476, 689, 519, 695, 9655, 2158, 267, 1287, 538, 519, 3844, 23617, 538, 1459, 6377, 530, 344, 4040, 267, 547, 2212, 5045, 267, 1236, 597, 1154, 519, 9456, 6316, 540, 519, 22586, 10239, 267, 538, 3406, 540, 3014, 543, 9640, 269, 5741, 281, 635, 534, 3832, 14316, 476, 272, 10950, 547, 519, 635, 534, 3832, 14316, 1016, 2889, 915, 476, 273, 4367, 476, 274, 10959, 476, 275, 6688, 476, 6078, 12632, 476, 5655, 7851, 476, 6246, 1893, 1413, 693, 835, 540, 519, 635, 534, 3832, 14316, 1788, 781, 1383, 12632, 547, 1294, 1018, 649, 4126, 585, 538, 12632, 602, 616, 851, 540, 938 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 769, 713, 1576, 1770, 267, 649, 786, 5490, 883, 519, 1950, 6249, 540, 16236, 543, 2530, 607, 13269, 538, 11174, 5708, 609, 513, 1445, 593, 4168, 1514, 2152, 269, 1284, 786, 5659, 875, 4589, 946, 9423, 547, 948, 1762, 3988, 1174, 543, 11883, 609, 891, 2352, 4664, 998, 519, 7828, 540, 741, 5132, 269, 3414, 6313, 1585, 5931, 267, 3695, 7811, 10850, 267, 543, 2502, 538, 2565, 5717, 267, 596, 786, 2744, 513, 4514, 7071, 585, 519, 1379, 540, 3332, 538, 5466, 4101, 3584, 543, 5807, 5289, 2208, 780, 296, 269, 4985, 547, 717, 4361, 543, 13809, 538, 19565, 11470, 454, 288, 269, 11137, 540, 519, 2956, 540, 5466, 16236, 543, 2530, 538, 3332, 585, 1453, 454, 289, 269, 634, 1909, 540, 3909, 4978, 538, 12003, 609, 16236, 543, 2530, 454, 290, 269, 22410, 540, 519, 2189, 2591, 5185, 676, 4589, 950, 1603, 827, 16236, 543, 2530, 585, 513, 7820, 5304, 692, 2862, 269, 4197, 717, 4361, 543, 13809, 454, 288, 269, 26479, 540, 16236, 543, 2530, 454, 289, 269, 853, 1137, 540, 16236, 2687, 547, 918, 6686, 321, 2401, 7304, 1601, 262, 2203, 630, 6577, 658, 267, 10845, 267, 29541, 267, 4965, 267, 10343, 994, 290, 269, 1215, 16236, 28107, 8335, 538, 1453, 3379, 547, 4079, 454, 291, 269, 16709, 540, 1114, 2010, 540, 9271, 630, 324, 3052, 1421, 2669, 540, 513, 6068, 835, 267, 16028, 267, 882, 6327, 267, 3092, 8094, 292, 269, 17583, 1063, 16236, 543, 2790, 1072, 538, 10708, 454, 293, 269, 7351, 1382, 543, 7194, 593, 6689, 16236, 543, 2530, 692, 7656, 269, 11724, 725, 540, 717, 4361, 543, 13809, 538, 15019, 9177, 454, 288, 269, 5811, 540, 9413, 267, 7641, 2982, 267, 543, 2835, 10023, 4798, 540, 16236, 543, 2530, 454, 289, 269, 8865, 1353, 281, 17564, 540, 6424, 8644, 534, 781, 4670, 834, 300, 677, 531, 16497, 2437, 799, 7710, 9019, 543, 581, 516, 29713, 454, 290, 269, 18948, 540, 16712, 8957, 3909, 28402, 540, 16236, 543, 2530, 538, 2923, 692, 4353, 269, 8567, 543, 10515, 532, 609, 717, 4361, 543, 13809, 454, 288, 269, 19978, 5380, 593, 7092, 267, 2669, 267, 543, 31366, 454, 289, 269, 10020, 540, 11755, 267, 10847, 267, 543, 2146, 1489, 538, 7231, 609, 16236, 543, 2530, 454, 290, 269, 6201, 540, 10271, 945, 4810, 1713, 2123, 9271, 543, 1336, 24176, 538, 741, 5132, 630, 324, 3052, 1421, 4856, 4471, 4557, 4425, 558, 267, 13744, 328, 661, 732, 4242, 517, 570, 3385, 267, 3092, 8094, 291, 269, 18964, 6568, 543, 8296, 2509, 1346, 7680, 16236, 543, 2530, 1369, 519, 4168, 2796, 692, 309, 269, 22718, 31157, 3171, 520, 1005, 717, 4361, 543, 13809, 454, 288, 269, 19171, 2542, 540, 5697, 15102, 689, 11174, 5708, 1568, 5059, 593, 16236, 543, 2530, 454, 289, 269, 13335, 540, 5339, 2079, 2553, 971, 607, 18572, 267, 13513, 267, 543, 14953, 8446, 454, 290, 269, 27148, 540, 2278, 658, 8247, 543, 3077, 9458, 454, 291, 269, 16214, 540, 519, 7145, 540, 2984, 538, 23187, 6835, 827, 16236, 543, 2530, 692, 9654, 269, 5675, 6168, 717, 4361, 543, 13809, 538, 19565, 11470, 454, 288, 269, 14958, 532, 8076, 3197, 543, 6386, 602, 13469, 609, 1762, 3988, 454, 289, 269, 21344, 8417, 543, 19969, 1247, 7234, 2352, 5396, 454, 290, 269, 11150, 585, 6220, 2609, 540, 5132, 1510, 1373, 1705, 12519, 454, 291, 269, 19078, 9270, 4478, 6041, 540, 16236, 543, 2530, 538, 3332, 585, 1453, 692, 23997, 269, 10390, 281, 634, 5295, 540, 27884, 538, 18601, 717, 4361, 543, 13809, 454, 288, 269, 14506, 593, 519, 4644, 540, 16236, 543, 2530, 538, 5935, 2043, 543, 2950, 454, 289, 269, 2561, 21090, 585, 519, 1761, 540, 3332, 547, 7520, 7067, 543, 6536, 6043, 454, 290, 269, 11559, 618, 585, 14971, 4589, 547, 4497, 609, 6213, 3584, 543, 1711, 6209, 960, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 23742, 7825, 6033, 6424, 8644, 534, 568, 606, 4830, 4670, 20447, 543, 513, 4670, 7548, 693, 595, 308, 28631, 779, 5441, 540, 8551, 1299, 9012, 269, 1261, 568, 519, 17348, 17367, 585, 519, 1546, 696, 540, 17912, 1299, 7641, 269, 1261, 6585, 606, 631, 11902, 689, 27201, 5441, 269, 1261, 779, 1044, 513, 27975, 1962, 697, 16159, 543, 513, 30508, 4670, 20447, 540, 2110, 27322, 8874, 269, 3571, 17245, 267, 18200, 531, 16497, 267, 4465, 606, 2506, 3240, 538, 476, 1001, 271, 543, 936, 519, 1296, 267, 1010, 8874, 723, 29971, 693, 3875, 4670, 15976, 543, 8613, 19093, 563, 5575, 540, 782, 267, 5458, 7064, 585, 8757, 856, 547, 803, 543, 18136, 803, 547, 12744, 707, 4670, 589, 674, 1968, 2622, 269, 594, 11613, 10150, 519, 1650, 543, 594, 3580, 2671, 811, 540, 1250, 4555, 593, 602, 2429, 938, 6643, 563, 763, 30310, 19877, 338, 5741, 676, 31584, 4934, 18721, 568, 851, 540, 606, 5571, 3126, 540, 11042, 267, 609, 5159, 267, 5830, 267, 32349, 267, 1870, 1004, 543, 1866, 267, 1141, 649, 4983, 519, 5817, 8404, 543, 6667, 540, 3860, 1004, 563, 4322, 2055, 616, 5497, 547, 2263, 707, 4690, 267, 2833, 543, 4282, 267, 543, 3605, 875, 1004, 267, 4025, 543, 2621, 538, 707, 1272, 267, 11110, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 294, 4361, 1299, 13809, 257, 607, 851, 540, 834, 16300, 16337, 1315, 16241, 1315, 4168, 1315, 4317, 12983, 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, 769, 713, 3184, 267, 649, 5490, 883, 519, 10167, 540, 1148, 267, 4480, 267, 543, 6848, 1764, 676, 3695, 7196, 7146, 3613, 8681, 4070, 1369, 1666, 330, 4479, 269, 1284, 786, 4161, 6671, 24300, 540, 7499, 4082, 543, 922, 4390, 547, 1266, 2658, 1514, 7004, 998, 606, 6514, 540, 5484, 16026, 262, 16472, 540, 519, 834, 332, 20687, 538, 513, 11480, 257, 3069, 269, 1635, 7421, 519, 6946, 1184, 540, 2870, 30504, 1210, 7196, 7146, 3613, 8681, 2553, 267, 649, 7866, 519, 1761, 585, 5159, 547, 16637, 21603, 17267, 2509, 4657, 519, 1158, 543, 3079, 4497, 538, 7184, 6209, 2853, 609, 15889, 4539, 780, 1805, 820, 7146, 3613, 8681, 4070, 4564, 513, 10427, 1935, 547, 11127, 933, 3058, 267, 6353, 676, 519, 954, 331, 864, 618, 540, 14461, 30367, 543, 8465, 22204, 269, 1677, 2253, 267, 1577, 721, 4983, 519, 2326, 6964, 538, 7196, 7146, 3613, 8681, 4070, 269, 27603, 267, 2067, 11103, 899, 786, 578, 267, 678, 3430, 534, 267, 610, 556, 2644, 4196, 607, 22204, 267, 1247, 11308, 22203, 1599, 607, 30367, 269, 1452, 6151, 2326, 4163, 2686, 4644, 267, 18220, 532, 12583, 540, 2244, 946, 267, 4199, 2359, 267, 543, 2757, 1702, 6771, 269, 1306, 971, 267, 8939, 3617, 2326, 3322, 2502, 609, 2825, 7881, 543, 6940, 4145, 1107, 4798, 3810, 4143, 538, 2221, 781, 11407, 4478, 2916, 6433, 543, 28160, 1436, 780, 763, 3355, 3942, 540, 7196, 7146, 3613, 8681, 4070, 14122, 25786, 519, 30367, 538, 513, 9764, 4806, 267, 8108, 513, 3490, 2390, 799, 7766, 6106, 616, 3710, 269, 3962, 3773, 4494, 25040, 519, 2497, 781, 6617, 543, 8699, 267, 10452, 519, 2956, 540, 13654, 3741, 538, 14335, 14388, 2950, 269, 23155, 3157, 2049, 1369, 7499, 2445, 1161, 543, 13998, 7722, 3785, 282, 9591, 2178, 7554, 1851, 5171, 11942, 3972, 267, 7175, 5698, 543, 5647, 780, 11328, 13512, 1456, 22204, 1472, 519, 7299, 30367, 3029, 519, 3119, 3308, 8984, 540, 7196, 7146, 3613, 8681, 25481, 269, 9457, 344, 540, 1585, 649, 2314, 791, 11301, 2189, 3270, 543, 18282, 267, 13031, 519, 7376, 781, 5578, 543, 9837, 1275, 269, 6684, 267, 2500, 2792, 1063, 23712, 5159, 19329, 2312, 13994, 1637, 540, 2093, 543, 15752, 267, 4611, 538, 811, 18900, 4093, 780, 19741, 2930, 15334, 267, 7196, 7146, 3613, 8681, 4070, 3340, 9639, 267, 18094, 267, 543, 11428, 269, 645, 2532, 1115, 949, 1491, 1896, 2395, 610, 1256, 4374, 547, 2347, 267, 4470, 593, 6988, 543, 2450, 269, 10801, 713, 6905, 1974, 267, 5159, 2226, 1445, 543, 7029, 267, 17975, 741, 13144, 27261, 958, 269, 6270, 32344, 1145, 30172, 4207, 7125, 585, 13455, 6278, 538, 1514, 5126, 3646, 2864, 982, 7904, 7566, 19647, 9141, 676, 7678, 1465, 610, 3134, 31906, 531, 15131, 780, 9209, 2065, 7215, 14139, 7196, 7146, 3613, 8681, 4070, 3180, 4052, 10626, 3564, 12716, 9029, 269, 1280, 3236, 267, 7087, 2950, 8415, 18955, 11149, 585, 1426, 4859, 267, 6283, 267, 543, 16008, 269, 20876, 519, 10342, 540, 1148, 2591, 26608, 18727, 18765, 540, 1148, 607, 6071, 23732, 543, 19156, 922, 7915, 1871, 607, 2645, 585, 6668, 543, 11812, 780, 28274, 16026, 262, 16472, 267, 649, 14719, 622, 875, 7196, 7146, 3613, 8681, 9112, 30504, 20546, 519, 7687, 540, 519, 834, 332, 20687, 538, 513, 11480, 257, 3069, 269, 5502, 540, 1780, 1947, 16213, 6835, 740, 337, 3424, 267, 15691, 789, 3914, 25091, 24528, 267, 5159, 8362, 7119, 538, 14335, 11215, 5121, 543, 5466, 10296, 2152, 269, 3414, 17117, 540, 1950, 2553, 543, 26772, 11428, 267, 891, 15888, 6542, 513, 7096, 4276, 1063, 23477, 543, 6848, 9295, 780, 1103, 3932, 267, 6313, 7196, 7146, 3613, 8681, 4070, 3091, 3407, 4030, 3823, 519, 2078, 1063, 7499, 2259, 543, 1914, 19205, 8116, 269, 1635, 8508, 519, 14960, 540, 713, 942, 3620, 517, 1819, 2245, 267, 2413, 1148, 9439, 666, 11349, 4514, 4656, 540, 1570, 8129, 267, 6536, 2146, 2679, 267, 24917, 2930, 1983, 267, 543, 6038, 3565, 547, 13710, 1689, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 324, 963, 1616, 547, 723, 621, 1312, 2081, 269, 1358, 1616, 547, 2161, 968, 1607, 568, 1250, 1106, 540, 6304, 538, 519, 1158, 269, 901, 568, 875, 594, 6557, 2469, 547, 1689, 519, 1158, 2443, 855, 1810, 1406, 2307, 803, 875, 1317, 594, 6557, 606, 7376, 1848, 898, 814, 782, 540, 891, 2370, 15626, 2360, 267, 789, 1289, 519, 968, 332, 20687, 538, 519, 11480, 892, 3069, 267, 799, 568, 519, 632, 1249, 334, 3069, 602, 1034, 1004, 723, 950, 596, 2119, 547, 4137, 856, 1018, 5547, 13462, 1018, 596, 2461, 3257, 547, 875, 596, 1689, 519, 1158, 269, 4208, 711, 2322, 513, 5048, 538, 513, 11480, 543, 5555, 621, 779, 2469, 547, 11547, 909, 593, 519, 13272, 543, 2576, 786, 1265, 1250, 5048, 286, 594, 1589, 649, 666, 798, 1732, 267, 10416, 563, 13051, 16026, 568, 513, 1715, 3840, 2861, 9097, 1148, 10404, 269, 1261, 568, 519, 2278, 540, 476, 280, 269, 276, 634, 4513, 593, 3203, 543, 4147, 630, 1001, 274, 264, 543, 519, 1699, 2817, 3203, 7600, 545, 693, 1148, 6339, 5240, 269, 2060, 513, 2027, 1719, 538, 2797, 1148, 267, 16026, 6212, 593, 1148, 779, 1909, 538, 2797, 543, 1514, 5322, 267, 519, 4560, 540, 1148, 779, 1764, 267, 543, 875, 1148, 15628, 1589, 827, 543, 14892, 741, 960, 269, 3571, 960, 814, 1044, 12286, 538, 28503, 971, 607, 1520, 321, 31255, 267, 634, 27201, 12565, 267, 18222, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 26353, 1315, 9828, 1315, 645, 2532, 4479, 1315, 853, 820, 7146, 21178, 8681, 14716, 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, 6092, 5149, 281, 25065, 2264, 543, 4591, 869, 732, 910, 1744, 1456, 6201, 540, 4165, 1664, 19045, 1740, 692, 15916, 256, 8080, 547, 713, 3078, 3460, 998, 942, 607, 649, 2263, 519, 4190, 1158, 540, 1884, 2294, 543, 2445, 17156, 1500, 540, 8988, 267, 4154, 267, 543, 824, 8407, 269, 4653, 267, 649, 786, 1445, 593, 1079, 2010, 540, 4496, 4103, 602, 941, 1360 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2318, 2773, 6286, 269, 1215, 649, 1118, 519, 1034, 540, 621, 543, 10244, 1346, 2640, 568, 519, 8945, 269, 2290, 6216, 538, 1880, 568, 3257, 1175, 602, 267, 543, 649, 3513, 581, 4687, 811, 593, 621, 4166, 256, 0, 763, 8244, 540, 2973, 1216, 568, 2808, 513, 2596, 1480, 1318, 267, 2943, 538, 1082, 4025, 267, 1519, 519, 6243, 540, 519, 21244, 11866, 630, 305, 11085, 1070, 1569, 547, 2973, 1216, 3788, 513, 1713, 4161, 269, 2859, 982, 835, 5479, 1004, 538, 3384, 4525, 1869, 3668, 1569, 547, 2922, 1216, 2959, 267, 3056, 547, 4049, 1072, 2152, 269, 5272, 1032, 267, 476, 273, 268, 274, 2929, 1453, 896, 519, 2085, 540, 2947, 5884, 1813, 547, 11591, 515, 531, 3676, 267, 1419, 26438, 689, 13572, 1216, 2959, 267, 609, 5176, 476, 3445, 2600, 540, 891, 28896, 9648, 1851, 1762, 1453, 269, 1744, 1442, 5944, 267, 606, 6059, 476, 275, 267, 4335, 547, 476, 277, 267, 1822, 1453, 829, 880, 3232, 1813, 547, 1216, 5829, 3676, 269, 634, 2622, 2657, 9257, 5359, 602, 5111, 3368, 540, 519, 3384, 1158, 779, 2551, 568, 4299, 676, 3670, 2101, 3676, 1644, 547, 16283, 1216, 3761, 543, 19455, 281, 11591, 21539, 320, 267, 607, 8364, 529, 267, 1951, 322, 684, 1529, 15633, 267, 13622, 11988, 267, 11634, 626, 657, 558, 15633, 267, 543, 911, 577, 5448, 269, 27819, 3368, 540, 519, 1004, 538, 519, 21244, 11866, 616, 693, 1981, 540, 10438, 13572, 1216, 267, 7133, 1472, 476, 736, 267, 1822, 2043, 269, 2755, 930, 723, 1569, 547, 4824, 1216, 2959, 267, 1152, 476, 6812, 269, 279, 260, 540, 10820, 2308, 1697, 1216, 2126, 2409, 267, 6028, 519, 6967, 476, 6078, 269, 273, 260, 7925, 547, 1216, 13871, 3676, 563, 763, 21244, 11866, 3068, 513, 2565, 17732, 540, 4195, 1216, 267, 609, 513, 5354, 540, 10820, 630, 12671, 476, 8064, 8472, 13461, 593, 24467, 6952, 906, 585, 6704, 1216, 269, 901, 1797, 602, 10199, 476, 3199, 260, 540, 519, 2698, 2551, 267, 610, 5111, 476, 5655, 267, 5952, 275, 2043, 267, 8185, 4096, 593, 6394, 24467, 585, 741, 1216, 2115, 269, 19759, 569, 267, 6532, 1216, 2959, 7985, 689, 9190, 5533, 267, 607, 23576, 676, 5439, 689, 20727, 1755, 779, 1216, 2754, 10398, 532, 1062, 6029, 12526, 676, 2698, 897, 6134, 543, 661, 269, 19546, 267, 1312, 4611, 689, 1480, 543, 3662, 3653, 267, 3056, 547, 10108, 269, 8330, 517, 5109, 569, 267, 7622, 1216, 2959, 8858, 2147, 2157, 540, 12526, 607, 4683, 2127, 267, 7700, 547, 519, 2810, 9860, 540, 1216, 13871, 3676, 269, 30887, 10938, 4345, 16034, 607, 519, 3791, 1034, 1455, 2014, 540, 30674, 1851, 1453, 896, 476, 276, 1296, 2025, 538, 519, 21244, 11866, 267, 609, 835, 538, 1614, 21244, 3150, 1453, 7680, 25224, 539, 2208, 269, 4144, 1551, 21539, 320, 543, 15499, 15495, 1404, 513, 1713, 1909, 538, 6689, 22926, 676, 4227, 1426, 6981, 267, 10556, 532, 8770, 10338, 267, 4929, 1463, 8770, 2530, 267, 543, 4617, 2287, 519, 4761, 1062, 269, 8693, 1689, 12615, 919, 891, 2591, 267, 609, 519, 21244, 11866, 7680, 811, 7928, 15195, 16839, 267, 1519, 4049, 26221, 538, 476, 1001, 274, 543, 476, 1001, 277, 267, 1141, 930, 2043, 15068, 593, 1447, 982, 513, 2148, 540, 1216, 829, 1268, 829, 1554, 563, 763, 6662, 540, 713, 1788, 568, 547, 2697, 4264, 543, 13998, 14323, 3435, 547, 2232, 519, 2042, 2404, 609, 13572, 1216, 269, 15316, 22729, 2409, 971, 607, 8392, 1588, 267, 1253, 20746, 267, 14495, 267, 11159, 566, 267, 543, 1164, 24289, 12086, 723, 1044, 6964, 267, 855, 789, 7237, 9465, 899, 1164, 3790, 267, 5826, 4170, 267, 16126, 593, 8093, 10173, 267, 543, 1279, 7996, 5712, 269, 3776, 6069, 3070, 3322, 26084, 606, 10097, 543, 2500, 1216, 6882, 267, 519, 27517, 9807, 2290, 8672, 3590, 267, 799, 13333, 1510, 5201, 543, 568, 1312, 4264, 543, 13476, 7874, 563, 4942, 848, 594, 540, 519, 1788, 9797, 12936, 5176, 476, 1691, 267, 1822, 1004, 2066, 476, 2641, 540, 519, 476, 2537, 20948, 693, 565, 3149, 538, 519, 681, 11085, 267, 27195, 20727, 1755, 543, 661, 2041, 6614, 269, 18001, 4083, 6905, 922, 3914, 547, 476, 3451, 267, 1822, 7264, 538, 519, 4683, 7740, 540, 20727, 1755, 543, 661, 2041, 6614, 269, 901, 11036, 6663, 547, 2569, 1216, 13871, 3676, 31827, 689, 22247, 1216, 543, 1216, 20317, 267, 1519, 1085, 28320, 267, 13165, 267, 543, 27193, 1355, 267, 1247, 849, 5466, 1216, 2298, 2152, 269, 898, 20383, 609, 3084, 10850, 543, 519, 2136, 8315, 12655, 4886, 25779, 630, 16256, 294, 264, 476, 277, 267, 799, 11394, 547, 2327, 519, 8244, 543, 4264, 2359, 540, 1216, 543, 19455, 585, 782, 563, 8802, 8973, 1788, 6388, 267, 519, 21244, 11866, 2874, 540, 476, 278, 267, 278, 4343, 10820, 267, 609, 936, 3368, 23493, 538, 20727, 1755, 543, 661, 2041, 6614, 269, 18001, 594, 3922, 1242, 519, 476, 2420, 9018, 6532, 2950, 267, 2519, 593, 519, 1034, 7925, 5095, 269, 18001, 4083, 9450, 922, 3646, 547, 20727, 1755, 543, 661, 2041, 6614, 267, 8757, 476, 3451, 267, 1822, 811, 2043, 563, 12850, 4077, 640, 32524, 609, 519, 918, 22473, 267, 519, 3084, 2229, 267, 2199, 2146, 3401, 267, 543, 3906, 547, 2697, 3885, 538, 991, 540, 2973, 1216, 12086, 269, 5589, 760, 1801, 941, 13473, 593, 519, 2956, 540, 2922, 6704, 1216, 543, 1697, 9882, 267, 543, 519, 12086, 941, 8704, 609, 519, 948, 540, 1585, 8639, 269, 744, 32054, 3790, 941, 8766, 267, 609, 2199, 8128, 543, 23700, 1303, 27434, 609, 519, 1279, 3856, 5826, 540, 519, 12086, 269, 634, 1788, 6663, 547, 15814, 12086, 547, 1169, 7622, 538, 991, 538, 519, 21244, 11866, 563, 1103, 5988, 476, 1708, 274, 267, 519, 1788, 1107, 4826, 568, 5020, 256, 6707, 5342, 1216, 6882, 4656, 29492, 593, 661, 2041, 6614, 267, 26084, 7148, 12086, 543, 19943, 12086, 547, 10820, 267, 13039, 267, 543, 3506, 269, 634, 11036, 6603, 1585, 2950, 267, 543, 1246, 5346, 12220, 616, 9709, 547, 2708, 519, 7145, 540, 519, 12086, 269, 634, 1788, 568, 593, 519, 2357, 613, 540, 3246, 476, 1911, 260, 1569, 547, 2973, 543, 2922, 1216, 538, 519, 21244, 11866, 563, 4942, 848, 4083, 267, 17364, 689, 476, 1708, 272, 547, 476, 1708, 274, 267, 6098, 4683, 10820, 538, 20727, 1755, 543, 661, 2041, 6614, 267, 26084, 476, 12010, 6882, 1949, 593, 661, 2041, 6614, 543, 476, 274, 267, 280, 6924, 12086, 593, 20727, 1755, 269, 19461, 7616, 540, 1269, 1428, 267, 1822, 689, 4826, 4077, 640, 267, 19658, 713, 5123, 269, 20727, 1755, 1684, 621, 7454, 7577, 25855, 12086, 689, 519, 772, 2529, 269, 22163, 547, 20727, 1755, 543, 661, 2041, 6614, 6816, 269, 634, 2622, 2657, 9257, 630, 21766, 264, 543, 519, 12080, 540, 2657, 543, 5274, 7896, 3177, 3606, 7616, 547, 3382, 2951, 9276, 585, 2818, 547, 2951, 689, 20727, 1755, 547, 661, 2041, 6614, 269, 674, 14072, 564, 12086, 941, 6074, 585, 661, 2041, 6614, 267, 607, 1034, 5321, 1185, 1569, 547, 7622, 31316, 564, 1949, 269, 9751, 11925, 543, 6351, 609, 1216, 6882, 3892, 941, 5342, 593, 519, 2666, 563, 1103, 20727, 1755, 267, 6882, 3892, 3459, 538, 23718, 22810, 267, 14178, 547, 681, 7534, 267, 5548, 777, 267, 543, 23514, 549, 330, 2950, 267, 609, 5176, 476, 274, 267, 1822, 12086, 7856, 547, 10820, 676, 4571, 11219, 340, 569, 476, 1708, 274, 269, 634, 1788, 4371, 513, 12129, 2680, 547, 11760, 519, 7104, 3646, 540, 1346, 3238, 538, 4180, 1569, 547, 2973, 543, 2922, 1216, 585, 782, 2950, 538, 519, 21244, 11866, 563, 2026, 540, 5147, 476, 1708, 274, 267, 18001, 4083, 814, 7856, 606, 3606, 476, 276, 267, 1822, 1216, 12086, 547, 4683, 10820, 593, 661, 2041, 6614, 543, 20727, 1755, 267, 30364, 476, 3451, 267, 1822, 811, 21244, 3150, 2043, 269, 4595, 519, 27299, 540, 519, 667, 1066, 769, 631, 712, 1788, 538, 476, 1001, 279, 267, 5176, 476, 279, 267, 1822, 1216, 12086, 723, 1044, 7856, 2066, 782, 2950, 538, 519, 21244, 11866, 267, 16180, 519, 3804, 540, 2136, 8315, 12655, 4886, 25779, 476, 277, 593, 1216, 269, 634, 1788, 779, 1967, 814, 1044, 1500, 2009, 998, 5698, 543, 7029, 689, 1585, 1788, 4891, 563, 4942, 848, 8633, 267, 9709, 585, 476, 1708, 274, 268, 1708, 275, 267, 6663, 547, 2087, 6704, 1216, 1949, 538, 1857, 3506, 538, 519, 21244, 11866, 267, 2417, 532, 519, 5692, 540, 3246, 2973, 543, 2922, 1216, 547, 782, 7264, 269, 6736, 1713, 5989, 9283, 538, 1857, 3506, 267, 1082, 1869, 3668, 7850, 1569, 547, 2922, 6704, 1216, 563, 305, 517, 22448, 700, 807, 24023, 5018, 968, 2005, 779, 3819, 538, 681, 792, 5055, 680, 777, 1631, 543, 713, 6882, 568, 9494, 2729, 16634, 296, 1743, 1678, 17310, 543, 530, 664, 328, 585, 476, 274, 2395, 1071, 345, 540, 1100, 1216, 538, 519, 2777, 594, 3251, 693, 269, 2334, 19943, 609, 6882, 1568, 256, 654, 880, 594, 1185, 1250, 27317, 609, 803, 547, 1491, 533, 923, 3034, 292, 330, 3279, 8496, 534, 1767, 968, 296, 993, 3810, 12592, 547, 1459, 1250, 21981, 540, 713, 6882, 1354, 782, 540, 596, 543, 875, 621, 814, 4957, 1250, 1272, 269, 2423, 17067, 594, 1031, 547, 30321, 1216, 689, 4884, 547, 1250, 1747, 540, 3251, 538, 681, 23879, 330, 799, 729, 2731, 524, 13246, 727, 543, 7199, 1932, 1519, 519, 3454, 328, 24214, 269, 594, 1185, 547, 1265, 856, 2081, 1169, 3018, 547, 723, 2922, 4859, 540, 1216, 585, 1250, 6469, 946, 269, 898, 729, 513, 1272, 19145, 4090, 585, 803, 1906, 4374, 3516, 950, 594, 729, 5189, 547, 713, 1007, 7148, 6882, 676, 15516, 3933, 1664, 18135, 1380, 269, 634, 1966, 540, 11449, 22012, 1216, 14569, 1100, 3476, 6818, 594, 993, 1210, 713, 2922, 1507, 6882, 1169, 1554, 547, 6445, 1250, 1216, 689, 1250, 6952, 618, 593, 513, 2834, 4493, 269, 1924, 2484, 594, 723, 711, 1336, 1022, 2168, 4576, 1813, 547, 4616, 540, 1216, 1210, 713, 6882, 855, 594, 1745, 811, 23518, 607, 621, 17990, 1250, 942, 267, 2724, 543, 3646, 547, 6108, 593, 6704, 1216, 799, 568, 938, 2067, 4199, 269, 19010, 2894, 5442, 631, 21788, 269, 8729, 547, 782, 519, 1788, 1004, 585, 3246, 713, 3407, 6882, 547, 782, 1004, 538, 20727, 1755, 3034, 300, 14709, 32298, 7150, 968, 763, 4826, 568, 5020, 1788, 568, 3946, 1524, 835, 540, 519, 1034, 3407, 3785, 8045, 538, 938, 2950, 543, 649, 693, 24696, 7968, 296, 1745, 29341, 547, 723, 1044, 2111, 547, 1683, 930, 1489, 269, 594, 585, 835, 993, 513, 18579, 540, 519, 1216, 6882, 7856, 1934, 538, 31828, 3881, 820, 269, 634, 6882, 814, 4824, 1272, 585, 1250, 1920, 538, 1082, 2081, 269, 1284, 1100, 3476, 991, 547, 688, 592, 5230, 1216, 795, 13903, 1063, 589, 27826, 820, 543, 4884, 1175, 865, 649, 666, 1569, 2973, 6704, 1216, 269, 898, 814, 849, 10710, 721, 2724, 3034, 2171, 5795, 2973, 1216, 547, 606, 3003, 1507, 6532, 2221, 538, 519, 21244, 11866, 256, 1284, 2461, 827, 547, 3914, 519, 9096, 1899, 540, 8473, 547, 8473, 2973, 1216, 2336, 763, 9096, 1899, 23700, 585, 8473, 3562, 31215, 2973, 1216, 538, 519, 21244, 11866, 2336, 288, 2370, 8004, 945, 568, 11235, 547, 1451, 875, 547, 946, 12086, 563, 32086, 1004, 593, 2500, 946, 540, 1216, 12086, 563, 12850, 6882, 17392, 563, 295, 1343, 6823, 2259, 547, 946, 12086, 563, 2005, 779, 2653, 547, 2973, 12086, 585, 519, 1279, 2196, 563, 763, 7482, 585, 713, 1982, 723, 1044, 4359, 676, 4826, 4077, 640, 269, 2659, 21856, 1210, 519, 5213, 622, 7735, 786, 2327, 602, 649, 723, 7482, 2139, 547, 9585, 713, 1788, 269, 9877, 569, 24946, 1210, 519, 7735, 563, 1607, 1788, 814, 1044, 6192, 269, 1677, 1224, 827, 519, 4098, 540, 519, 1788, 267, 14160, 27912, 28313, 563, 763, 22084, 7541, 16323, 16004, 23346, 1982, 729, 9250, 593, 476, 1724, 4728, 269, 634, 10131, 729, 13984, 676, 2797, 543, 3909, 3401, 267, 20859, 267, 2229, 8387, 267, 1072, 6887, 543, 8498, 22242, 269, 1358, 5941, 519, 2244, 547, 581, 21248, 585, 519, 16004, 23346, 543, 519, 9550, 540, 513, 645, 648, 670, 1961, 15557, 9730, 630, 289, 295, 9448, 1040, 634, 3483, 540, 519, 645, 648, 670, 1961, 15557, 9730, 630, 289, 295, 9448, 264, 568, 547, 2327, 2489, 27194, 543, 5826, 540, 519, 1216, 2707, 543, 547, 20834, 1125, 519, 2146, 547, 2628, 741, 10865, 9295, 540, 1269, 271, 269, 2767, 269, 634, 2146, 22242, 941, 547, 581, 3743, 585, 7863, 519, 16004, 23346, 269, 3962, 8498, 3177, 1863, 2244, 585, 513 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 532, 19833, 2006, 9046, 543, 18726, 27122, 692, 1103, 713, 3184, 267, 649, 786, 2263, 513, 4241, 11938, 1966, 1634, 607, 519, 13488, 532, 19833, 2006, 9046, 630, 4811, 303, 264, 543, 1451, 875, 547, 4194, 621, 1210, 4719, 6620, 269, 1284, 786, 946, 519, 5124, 5399, 2387, 6447, 13427, 319, 547, 2936, 938, 3070, 780, 2162, 634, 13488, 532, 19833, 2006, 9046, 692, 763, 570, 9915, 568, 513, 5929, 1966, 538, 2780, 2257, 543, 4238, 1382, 269, 9717, 513, 1592, 540, 4872, 543, 519, 9883, 1063, 1142, 6292, 540, 4872, 267, 519, 3804, 568, 547, 1265, 519, 20125, 2009, 8905, 602, 11564, 1142, 2749, 4010, 2899, 543, 7024, 547, 519, 5169, 2749, 269, 901, 1966, 568, 26128, 3620, 731, 267, 2495, 602, 972, 568, 1100, 1634, 3608, 5690, 547, 1265, 519, 6099, 3070, 585, 782, 8320, 540, 519, 1966, 780, 763, 570, 9915, 666, 581, 6719, 607, 513, 3113, 267, 1141, 519, 4872, 616, 519, 9136, 543, 519, 8728, 2099, 519, 9883, 1063, 873, 269, 634, 1966, 1287, 3587, 835, 540, 4466, 519, 16803, 1014, 4783, 609, 519, 5934, 2698, 2597, 267, 1141, 513, 16803, 1014, 4783, 568, 513, 4783, 602, 11564, 1142, 6843, 4010, 2899, 780, 2162, 18726, 27122, 692, 7049, 2045, 6620, 616, 513, 1826, 540, 11938, 5690, 6273, 676, 519, 1184, 540, 2067, 5542, 269, 1358, 960, 676, 4509, 513, 2551, 540, 11134, 3435, 267, 799, 616, 6719, 607, 15954, 269, 3962, 15694, 568, 11117, 2687, 547, 513, 8516, 1599, 267, 799, 3800, 875, 1134, 519, 3070, 31758, 519, 1966, 269, 634, 3514, 11687, 15954, 616, 1287, 5697, 585, 12093, 267, 1141, 789, 10929, 31832, 20108, 543, 15817, 547, 3132, 513, 1007, 5108, 540, 11134, 3435, 269, 901, 1184, 568, 7368, 2394, 513, 25685, 3070, 568, 1336, 610, 513, 5021, 1297, 540, 5481, 568, 6603, 780, 2162, 634, 19803, 9046, 692, 6524, 649, 4685, 883, 519, 570, 9915, 267, 1577, 781, 1101, 1491, 513, 1413, 693, 513, 12863, 1966, 281, 519, 19803, 1966, 269, 901, 1966, 3322, 11093, 562, 30842, 593, 606, 562, 1535, 562, 21802, 4580, 971, 602, 1100, 1079, 30842, 21279, 1142, 824, 269, 901, 1797, 602, 1100, 1079, 30842, 666, 581, 538, 519, 1482, 4737, 267, 6241, 267, 610, 15497, 780, 763, 19803, 1966, 666, 581, 6719, 607, 513, 9352, 5569, 540, 3259, 562, 267, 1141, 1142, 3787, 4564, 519, 2990, 540, 513, 15596, 538, 513, 1880, 6241, 269, 1280, 1383, 267, 519, 5569, 834, 1911, 1015, 257, 4564, 513, 3070, 547, 519, 476, 276, 268, 4302, 839, 1966, 267, 1141, 519, 30842, 616, 5116, 538, 9587, 476, 272, 267, 476, 275, 267, 543, 476, 276, 780, 2162, 634, 19803, 18893, 4147, 692, 3086, 1577, 781, 1491, 513, 1413, 693, 519, 3009, 585, 519, 2387, 20075, 839, 18893, 319, 1362, 267, 799, 568, 513, 1016, 5035, 540, 2387, 11514, 4740, 18893, 319, 689, 519, 2387, 6447, 13427, 319, 5399, 269, 901, 1362, 568, 1031, 547, 4194, 519, 19803, 1966, 1210, 4719, 6620, 563, 3499, 7090, 454, 5228, 16720, 13427, 8807, 5893, 1104, 19803, 454, 5228, 16720, 13427, 269, 9953, 318, 2889, 2125, 6185, 529, 4740, 18893, 1104, 2598, 4740, 18893, 692, 5035, 19803, 18893, 263, 11514, 4740, 18893, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 3259, 22561, 267, 8516, 6958, 333, 22561, 267, 11694, 25716, 2676, 4449, 31832, 20108, 22561, 267, 4573, 1807, 22561, 17107, 1038, 952, 630, 325, 5893, 6958, 333, 568, 7183, 264, 543, 630, 26319, 568, 7183, 2187, 2018, 6318, 1401, 4003, 2891, 325, 5893, 6958, 333, 610, 3259, 1590, 581, 9138, 1701, 2020, 1038, 952, 3259, 568, 7183, 912, 2018, 3259, 815, 7003, 6600, 5893, 6958, 333, 269, 30135, 2020, 1038, 1582, 32324, 815, 3259, 692, 1038, 952, 8516, 6958, 333, 568, 7183, 912, 2018, 8516, 6958, 333, 815, 19803, 10797, 1038, 1582, 27982, 26371, 815, 3259, 454, 1038, 31832, 20108, 815, 31538, 15899, 7021, 4311, 264, 952, 31832, 20108, 568, 7183, 3116, 31832, 20108, 454, 1038, 4573, 1807, 815, 7827, 3080, 300, 583, 1807, 4311, 264, 952, 4573, 1807, 568, 7183, 3116, 4573, 1807, 454, 1038, 2706, 14061, 1029, 8181, 9191, 26319, 267, 8516, 6958, 333, 267, 11694, 267, 3259, 267, 31832, 20108, 267, 4573, 1807, 2020, 1038, 1533, 815, 5286, 20179, 27110, 4311, 32324, 267, 2450, 284, 1345, 32324, 994, 1038, 5286, 20179, 11075, 28984, 263, 8063, 994, 1038, 1582, 15630, 26077, 263, 8063, 2020, 825, 1219, 666, 14067, 641, 4311, 2187, 1038, 2132, 703, 4311, 10947, 6958, 5893, 28829, 2652, 476, 271, 454, 8199, 763, 2387, 1029, 8181, 1029, 319, 1505, 3355, 3278, 519, 2387, 20075, 839, 18893, 319, 1843, 609, 519, 1739, 6724, 1384, 268, 2387, 26319, 29699, 519, 1297, 540, 30842, 547, 581, 5116, 593, 519, 4604, 454, 268, 2387, 325, 5893, 6958, 333, 29699, 519, 8516, 1599, 547, 581, 1031, 547, 6218, 11134, 3435, 454, 268, 2387, 10946, 4476, 29699, 513, 1630, 18978, 10834, 2436, 519, 8516, 1599, 1058, 581, 12366, 1242, 610, 31965, 454, 268, 2387, 322, 4592, 20108, 29699, 519, 31832, 20108, 11346, 547, 581, 1031, 547, 3132, 15556, 689, 2385, 15954, 454, 268, 2387, 332, 583, 1807, 29699, 519, 15817, 11346, 547, 581, 1031, 547, 6338, 8390, 883, 519, 2551, 692, 2252, 519, 2387, 325, 5893, 6958, 333, 319, 9936, 568, 711, 3177, 267, 513, 9949, 2387, 20075, 839, 319, 8516, 1599, 568, 1031, 269, 901, 1599, 7024, 519, 1297, 540, 8424, 540, 30842, 602, 21279, 1142, 824, 267, 799, 568, 513, 2268, 540, 875, 1434, 513, 1880, 3070, 568, 269, 634, 3804, 568, 547, 7413, 713, 1871, 547, 4642, 267, 799, 14687, 547, 513, 4570, 3070, 547, 519, 1966, 780, 763, 2387, 322, 4592, 20108, 319, 543, 2387, 332, 583, 1807, 319, 6724, 616, 18593, 267, 543, 9949, 547, 2387, 4462, 6134, 15899, 7021, 319, 543, 2387, 27087, 3080, 300, 583, 1807, 12452, 6606, 269, 1452, 12427, 616, 1031, 547, 3132, 1007, 11134, 3435, 689, 4540, 3283, 780, 763, 2387, 4754, 14067, 641, 319, 1505, 7024, 513, 1630, 18978, 10834, 2436, 519, 5690, 1058, 3247, 269, 769, 713, 2013, 267, 519, 5690, 13515, 950, 519, 8516, 1599, 7024, 513, 1871, 540, 4642, 267, 799, 14687, 547, 513, 4570, 3070, 780, 2162, 14572, 519, 19803, 9046, 692, 3086, 602, 649, 723, 3989, 519, 2387, 20075, 839, 18893, 319, 1362, 267, 1577, 781, 1294, 875, 649, 666, 946, 621, 547, 4194, 519, 19803, 1966, 269, 1284, 786, 946, 519, 2387, 6447, 13427, 269, 2102, 2045, 318, 14607, 319, 1599, 547, 2196, 519, 4719, 5690, 563, 3499, 7090, 454, 5814, 11885, 607, 5286, 454, 5228, 16720, 13427, 269, 2102, 2045, 318, 14607, 1104, 18726, 2704, 326, 3596, 332, 692, 258, 8073, 513, 19803, 18893, 1843, 609, 476, 279, 30842, 454, 2889, 12378, 815, 19803, 18893, 10857, 2654, 284, 279, 2020, 258, 5590, 909, 519, 4719, 5690, 454, 14607, 3596, 332, 815, 18726, 2704, 326, 3596, 332, 32384, 318, 3430, 3319, 338, 284, 1911, 271, 267, 3193, 318, 527, 619, 284, 1911, 271, 2676, 4449, 17264, 1402, 15481, 284, 1911, 267, 15817, 318, 22238, 284, 271, 269, 272, 2020, 258, 14840, 519, 4719, 5690, 454, 12895, 26077, 267, 1655, 6958, 5893, 815, 5690, 269, 14725, 263, 2889, 12378, 2020, 258, 7179, 519, 1655, 3070, 1336, 454, 2745, 6357, 652, 26077, 994, 8199, 1103, 713, 3009, 267, 649, 1101, 1711, 513, 2387, 20075, 839, 18893, 319, 1843, 609, 476, 279, 30842, 269, 1284, 1287, 1305, 909, 519, 4719, 5690, 609, 519, 1739, 6724, 1384, 268, 2387, 10946, 318, 3430, 3319, 338, 29699, 519, 5021, 1297, 540, 8942, 547, 1265, 513, 4570, 3070, 454, 268, 2387, 10946, 318, 527, 619, 29699, 519, 5021, 1297, 540, 23200, 547, 2196, 519, 5690, 454, 268, 2387, 16647, 15481, 29699, 519, 2450, 540, 519, 2551, 540, 11134, 3435, 454, 268, 2387, 332, 16615, 318, 22238, 29699, 519, 5506, 540, 15817, 9648, 538, 1142, 5108, 692, 2171, 1287, 2196, 519, 4719, 5690, 1210, 519, 2387, 14725, 319, 1505, 540, 519, 2387, 7049, 2045, 2704, 326, 3596, 332, 319, 1843, 267, 8429, 538, 519, 2387, 20075, 839, 18893, 319, 1843, 607, 519, 1966, 547, 581, 12193, 269, 634, 2387, 14725, 319, 1505, 7024, 519, 1655, 3070, 1336, 543, 922, 8516, 1871, 780, 7661, 267, 649, 1820, 519, 1655, 3070, 1336, 267, 799, 568, 513, 9352, 5569, 8204, 519, 7158, 540, 519, 30842, 593, 519, 4604, 780, 2162, 634, 13488, 532, 19833, 2006, 9046, 609, 18726, 27122, 692, 3086, 602, 649, 723, 2938, 875, 547, 4194, 519, 19803, 1966, 609, 4719, 6620, 267, 1577, 781, 4019, 519, 1482, 1935, 547, 519, 570, 9915, 780, 763, 570, 9915, 666, 581, 6719, 607, 513, 32089, 540, 519, 9981, 476, 272, 547, 562, 267, 1141, 562, 568, 519, 1297, 540, 4872, 269, 3962, 32089, 4564, 513, 1880, 1931, 538, 799, 519, 4872, 616, 10272, 269, 634, 3804, 568, 547, 1265, 519, 32089, 602, 2164, 538, 519, 20125, 2698, 3845, 14612, 780, 2414, 4194, 519, 570, 9915, 609, 4719, 6620, 267, 649, 666, 946, 519, 2387, 6447, 13427, 269, 4811, 303, 319, 8516, 1599, 267, 799, 7024, 519, 2698, 3845, 14612, 585, 513, 1880, 32089, 269, 1284, 666, 1287, 946, 519, 1482, 2387, 7049, 2045, 2704, 326, 3596, 332, 319, 1843, 607, 1354, 547, 2196, 519, 5690, 780, 2080, 568, 606, 1383, 540, 875, 547, 4194, 519, 570, 9915, 609, 4719, 6620, 912, 3499, 7090, 454, 5814, 11885, 607, 5286, 454, 5228, 16720, 13427, 269, 2102, 2045, 318, 14607, 1104, 18726, 2704, 326, 3596, 332, 454, 5228, 16720, 13427, 269, 1206, 335, 1104, 570, 9915, 692, 258, 8073, 513, 570, 9915, 1843, 609, 476, 1015, 4872, 454, 323, 2700, 24624, 815, 5286, 20179, 20120, 263, 1015, 267, 476, 1015, 994, 2889, 12378, 815, 570, 9915, 5560, 2700, 24624, 2020, 258, 5590, 909, 519, 4719, 5690, 454, 14607, 3596, 332, 815, 18726, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 339, 1807, 454, 5228, 16720, 13427, 8807, 5893, 1104, 19803, 454, 5228, 16720, 13427, 269, 9953, 318, 2889, 2125, 6185, 529, 4740, 18893, 1104, 2598, 4740, 18893, 7531, 5035, 19803, 18893, 263, 11514, 4740, 18893, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 3259, 22561, 267, 8516, 6958, 333, 22561, 267, 11694, 25716, 2676, 4449, 31832, 20108, 22561, 267, 4573, 1807, 22561, 17107, 1038, 952, 630, 325, 5893, 6958, 333, 568, 7183, 264, 543, 630, 26319, 568, 7183, 2187, 2018, 6318, 1401, 4003, 2891, 325, 5893, 6958, 333, 610, 3259, 1590, 581, 9138, 1701, 2020, 1038, 952, 3259, 568, 7183, 912, 2018, 3259, 815, 7003, 6600, 5893, 6958, 333, 269, 30135, 2020, 1038, 1582, 32324, 815, 3259, 692, 1038, 952, 8516, 6958, 333, 568, 7183, 912, 2018, 8516, 6958, 333, 815, 19803, 10797, 1038, 1582, 27982, 26371, 815, 3259, 454, 1038, 31832, 20108, 815, 31538, 15899, 7021, 4311, 264, 952, 31832, 20108, 568, 7183, 3116, 31832, 20108, 454, 1038, 4573, 1807, 815, 7827, 3080, 300, 583, 1807, 4311, 264, 952, 4573, 1807, 568, 7183, 3116, 4573, 1807, 454, 1038, 2706, 14061, 1029, 8181, 9191, 26319, 267, 8516, 6958, 333, 267, 11694, 267, 3259, 267, 31832, 20108, 267, 4573, 1807, 2020, 1038, 1533, 815, 5286, 20179, 27110, 4311, 32324, 267, 2450, 284, 1345, 32324, 994, 1038, 5286, 20179, 11075, 28984, 263, 8063, 994, 1038, 1582, 15630, 26077, 263, 8063, 2020, 825, 1219, 666, 14067, 641, 4311, 2187, 1038, 2132, 703, 4311, 10947, 6958, 5893, 28829, 2652, 476, 271, 454, 8199, 2237, 606, 3573, 543, 2143, 1837, 609, 19900, 1257, 543, 3009, 12612, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 269, 3550, 519, 3137, 616, 3015, 543, 2653, 547, 1174, 676, 1053, 609, 930, 2596, 1702, 540, 519, 1641, 269, 476, 634, 1837, 1058, 3895, 7744, 543, 20201, 1983, 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, 912, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 2422, 19000, 10035, 3230, 585, 4834, 543, 18889, 585, 5124, 3009, 12612, 269, 3097, 268, 3550, 4570, 19673, 3977, 563, 268, 12305, 543, 1104, 1022, 2556, 8021, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 1684, 711, 2491, 2596, 9226, 2035, 899, 3252, 543, 4632, 269, 1684, 711, 946, 16814, 585, 11249, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 1691, 281, 4197, 4793, 757, 543, 519, 10020, 540, 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 ]
[ 0, 6624, 3237, 3068, 2352, 8090, 610, 2591, 269, 1215, 666, 891, 476, 1321, 968, 293, 892, 1913, 948, 3237, 6330, 9157, 3871, 543, 2226, 513, 2318, 19773, 888, 293, 5217, 2352, 8090, 543, 2591, 568, 1945, 1169, 2385, 17358, 1256, 952, 596, 616, 606, 454, 1410, 1051, 532, 2385, 269, 3733, 1433, 476, 1321, 15474, 968, 293, 892, 9293, 585, 14268, 2982, 3237, 1175, 875, 547, 13720, 1346, 2352, 8090, 543, 2591, 269, 1411, 1294, 519, 5354, 540, 721, 711, 1175, 3237, 855, 4079, 538, 2489, 4431, 689, 938, 4664, 3079, 540, 938, 5042, 4555, 269, 23985, 1500, 721, 14220, 267, 865, 649, 586, 749, 269, 23985, 1500, 721, 8909, 267, 865, 649, 11716, 267, 2196, 2476, 267, 610, 3956, 269, 2755, 4664, 786, 4473, 938, 3210, 547, 1346, 4664, 568, 938, 5539, 269, 1879, 938, 10312, 568, 2312, 267, 543, 938, 25043, 616, 5150, 649, 1451, 875, 547, 4431, 547, 938, 4664, 538, 606, 8716, 543, 10575, 14823, 6073, 563, 2690, 1383, 267, 952, 1945, 2306, 721, 14220, 649, 666, 2307, 616, 596, 3843, 547, 1118, 803, 14220, 1317, 594, 993, 4743, 536, 6139, 1042, 267, 3905, 267, 610, 8726, 12214, 3210, 596, 616, 2348, 269, 4107, 540, 519, 2053, 938, 1453, 616, 711, 269, 1403, 789, 616, 602, 779, 1141, 6302, 543, 2463, 2097, 538, 547, 1404, 269, 6271, 1383, 952, 1945, 2306, 721, 8909, 899, 938, 1126, 4465, 1406, 29751, 721, 610, 2911, 827, 741, 1554, 609, 721, 269, 1284, 666, 5968, 875, 649, 616, 8391, 1018, 789, 616, 3257, 543, 1683, 513, 12001, 1383, 540, 875, 547, 5968, 938, 1459, 4161, 563, 1103, 2221, 779, 3728, 19550, 1158, 267, 3237, 1419, 1745, 16397, 269, 1215, 798, 707, 476, 1321, 968, 293, 892, 1913, 2232, 519, 3390, 540, 13326, 9021, 543, 4509, 513, 2318, 15970, 1935, 888, 296, 1935, 1272, 3666, 689, 513, 2790, 543, 24396, 1935, 269, 3776, 1158, 568, 3001, 1974, 543, 621, 2141, 814, 1044, 269, 8682, 20820, 543, 1582, 16162, 23002, 786, 2141, 581, 519, 7887, 7496, 585, 721, 607, 3237, 269, 1306, 3425, 649, 1616, 1018, 649, 1616, 267, 950, 649, 1616, 621, 267, 1946, 649, 1616, 621, 269, 1809, 607, 3237, 649, 666, 948, 938, 1453, 1174, 519, 4641, 540, 9639, 267, 1852, 267, 6302, 267, 4539, 543, 2463, 269, 1879, 891, 2035, 616, 7550, 267, 4294, 543, 8045, 519, 10605, 540, 519, 1158, 530, 2632, 2339, 1317, 649, 786, 917, 938, 5692, 543, 938, 1747, 538, 519, 1158, 269, 4197, 938, 674, 5495, 301, 6395, 3582, 2337, 721, 1832, 9350, 538, 519, 6159, 345, 1465, 269, 901, 568, 1946, 674, 5495, 301, 6395, 3582, 568, 519, 1101, 968, 293, 892, 1158, 269, 3776, 5748, 568, 2629, 547, 519, 1259, 649, 1935, 1866, 543, 519, 1158, 693, 1804, 269, 0, 272, 269, 3026, 1328, 26606, 22197, 538, 2842, 17081, 454, 4415, 519, 2810, 2518, 3747, 585, 7791, 1648, 267, 2842, 1379, 267, 607, 513, 2973, 543, 13476, 7874, 1106, 540, 1648, 267, 568, 7930, 8391, 1004, 779, 3007, 543, 3007, 269, 769, 713, 1184, 267, 519, 3498, 540, 8628, 11275, 2842, 18434, 568, 4742, 811, 543, 811, 7839, 269, 634, 4295, 851, 540, 519, 8628, 11275, 2842, 17081, 568, 4686, 3618, 8628, 11275, 2326, 267, 519, 1034, 1455, 540, 799, 568, 683, 1328, 26606, 22197, 269, 901, 2376, 786, 1865, 519, 5383, 540, 8939, 1164, 26024, 683, 1328, 26606, 22197, 585, 8628, 11275, 2842, 18434, 267, 607, 1134, 607, 2152, 602, 991, 547, 581, 6976, 3007, 547, 538, 519, 1374, 563, 273, 269, 26794, 540, 1164, 26024, 683, 1328, 26606, 22197, 454, 2691, 7446, 8628, 22197, 585, 8628, 11275, 18402, 267, 1210, 1164, 26024, 683, 1328, 26606, 22197, 568, 513, 8797, 3903, 269, 1306, 519, 5767, 3791, 22831, 4686, 3618, 8628, 11275, 267, 683, 1328, 26606, 22197, 723, 9120, 3601, 971, 607, 1164, 1121, 534, 775, 267, 1164, 28170, 2032, 543, 1164, 5021, 6419, 1648, 1587, 269, 901, 2306, 683, 1328, 26606, 22197, 606, 4998, 1570, 585, 2679, 3608, 267, 1507, 267, 17426, 18402, 563, 11854, 32496, 267, 683, 1328, 26606, 22197, 723, 1713, 5383, 538, 912, 414, 495, 510, 11947, 2773, 281, 3026, 1328, 26606, 22197, 723, 1164, 15895, 11275, 1143, 543, 5021, 6419, 1648, 1587, 267, 3379, 609, 824, 8628, 22197, 269, 901, 2306, 873, 4998, 585, 946, 538, 1818, 1164, 3887, 11797, 18402, 269, 1452, 9120, 3601, 1118, 683, 1328, 26606, 22197, 4922, 1031, 538, 8628, 11275, 2842, 18434, 563, 414, 495, 350, 295, 580, 4554, 1942, 2773, 281, 22702, 609, 7663, 10740, 524, 28240, 8628, 22197, 543, 824, 4686, 3618, 8628, 11275, 2326, 267, 683, 1328, 26606, 22197, 723, 5458, 6151, 1570, 14425, 267, 543, 683, 1328, 26606, 22197, 666, 3035, 519, 5207, 2773, 693, 519, 9803, 1942, 563, 414, 495, 351, 22102, 13026, 4320, 281, 4635, 7864, 683, 1328, 26606, 22197, 666, 5372, 513, 1804, 1297, 540, 7542, 1679, 22197, 547, 5352, 513, 6419, 2361, 540, 519, 1482, 8515, 267, 7494, 4227, 519, 2450, 540, 519, 11718, 563, 414, 495, 352, 20181, 5826, 1942, 281, 3026, 1328, 26606, 22197, 666, 2226, 11275, 1143, 585, 513, 1279, 942, 1310, 11275, 1436, 267, 543, 519, 6419, 2361, 4222, 568, 849, 1360, 7123, 269, 4475, 267, 4509, 8628, 11275, 2842, 18434, 568, 5266, 2241, 543, 814, 8766, 5826, 3790, 563, 274, 269, 12694, 5185, 676, 8628, 11275, 2842, 18434, 454, 7212, 683, 1328, 26606, 22197, 723, 1082, 5383, 267, 950, 1031, 538, 8628, 11275, 2842, 18434, 267, 972, 616, 1869, 1896, 2152, 602, 991, 547, 581, 6976, 3007, 547, 912, 414, 495, 510, 307, 17687, 1198, 281, 1306, 519, 2837, 4679, 267, 519, 6419, 3601, 540, 683, 1328, 26606, 22197, 786, 7930, 6175, 267, 4611, 538, 513, 6175, 538, 11718, 4398, 269, 634, 5021, 5665, 2837, 540, 683, 1328, 26606, 22197, 568, 476, 15996, 9180, 269, 1677, 2327, 7123, 2773, 896, 1164, 5210, 267, 621, 568, 2556, 547, 946, 683, 1328, 26606, 22197, 609, 2362, 28170, 2032, 610, 547, 11126, 519, 3002, 4744, 11692, 1062, 540, 519, 11718, 563, 414, 495, 350, 8256, 29548, 540, 2773, 281, 1280, 2527, 1790, 22004, 18402, 267, 621, 568, 2556, 547, 2327, 602, 519, 683, 1328, 26606, 22197, 538, 1142, 16801, 723, 519, 1482, 543, 7123, 6419, 3601, 269, 901, 3340, 7453, 2298, 1852, 540, 519, 11275, 2504, 1184, 547, 2327, 5812, 2773, 563, 414, 495, 351, 17357, 12509, 2360, 281, 3026, 1328, 26606, 22197, 949, 581, 12444, 1242, 610, 15309, 539, 538, 519, 2067, 1604, 267, 7133, 741, 2773, 269, 1677, 4194, 713, 1966, 267, 22197, 666, 581, 2627, 5701, 610, 2016, 606, 4550, 268, 6412, 15098, 547, 2333, 741, 4187, 547, 14809, 563, 414, 495, 352, 295, 27941, 5663, 1942, 281, 634, 5663, 1942, 540, 4686, 3618, 8628, 11275, 18402, 568, 2362, 982, 602, 540, 3167, 29835, 18402, 269, 901, 568, 1813, 547, 519, 5266, 1164, 9513, 3902, 540, 4686, 3618, 8628, 11275, 2326, 269, 4014, 519, 1942, 568, 2362, 267, 519, 4686, 3618, 8628, 11275, 11718, 814, 5140, 2773, 543, 666, 4688, 1648, 4616, 1282, 5106, 269, 634, 5665, 1942, 568, 1454, 2539, 982, 602, 540, 519, 3167, 29835, 11718, 563, 11947, 26024, 683, 1328, 26606, 22197, 1404, 513, 1883, 1909, 538, 8628, 11275, 2842, 18434, 269, 898, 2337, 3035, 1507, 267, 17426, 543, 3608, 11718, 1374, 267, 1247, 849, 2348, 519, 5383, 540, 1164, 2773, 543, 1164, 1942, 2773, 269, 1717, 267, 1210, 683, 1328, 26606, 22197, 849, 3340, 3007, 547, 930, 2591, 267, 971, 607, 2837, 2360, 267, 14809, 4187, 543, 2773, 11007, 269, 1635, 12561, 3617, 4831, 1889, 9778, 267, 8628, 11275, 2842, 18434, 666, 581, 811, 4922, 1031, 538, 519, 2361, 540, 1007, 1648, 563, 7712, 476, 1960, 275, 267, 938, 2754, 814, 1044, 6721, 1164, 26024, 683, 1328, 26606, 22197, 585, 8628, 11275, 2842, 18434, 267, 609, 5561, 538, 811, 982, 476, 736, 2477, 543, 4525, 269, 1403, 596, 1131, 899, 811, 1587, 1344, 267, 5225, 3346, 721, 269, 0, 5719, 10879, 568, 513, 3376, 2165, 602, 4016, 547, 513, 6794, 610, 513, 1305, 540, 2589, 2404, 609, 513, 7771, 538, 5042, 1599, 269, 898, 13315, 1585, 5042, 23043, 267, 1519, 3965, 2530, 267, 7965, 609, 1966, 9010, 267, 1893, 267, 543, 2242, 538, 2623, 269, 1546, 10879, 568, 711, 513, 1808, 2068, 282, 2864, 267, 621, 568, 513, 7104, 2165, 585, 513, 2039, 540, 2175, 602, 1291, 547, 5042, 7771, 269, 1452, 2175, 666, 581, 3361, 676, 1114, 5817, 2188, 267, 971, 607, 14715, 4713, 267, 15466, 2042, 267, 5563, 267, 543, 811, 269, 898, 568, 1271, 547, 1174, 602, 12110, 568, 711, 513, 3339, 851, 540, 519, 10172, 1184, 855, 2864, 513, 1267, 540, 606, 5817, 2564, 3390, 563, 2704, 11533, 779, 2068, 267, 593, 519, 824, 1688, 267, 568, 513, 1808, 543, 11342, 2014, 540, 12110, 269, 898, 568, 513, 11636, 543, 28115, 894, 2634, 4524, 602, 6589, 585, 827, 476, 2568, 268, 3583, 260, 540, 782, 12110, 2665, 269, 12216, 779, 2068, 5097, 5540, 3965, 543, 3206, 1983, 269, 634, 2783, 568, 6353, 676, 519, 19221, 540, 9402, 3940, 12074, 538, 519, 2634, 267, 1519, 12498, 268, 600, 2643, 1355, 29693, 13196, 543, 512, 879, 8126, 956, 269, 1452, 12074, 15936, 609, 519, 2634, 779, 2792, 543, 2014, 519, 16795, 7771, 538, 5042, 1599, 269, 12216, 779, 2068, 3335, 22264, 998, 1114, 5933, 267, 4358, 609, 7646, 3965, 2042, 543, 5555, 3056, 547, 4049, 23043, 538, 3232, 8647, 269, 0, 268, 6792, 568, 1753, 547, 513, 3309, 2039, 540, 22747, 267, 16559, 2066, 922, 25713, 15564, 25378, 5251, 563, 268, 634, 2197, 779, 15027, 2534, 814, 8032, 922, 11585, 267, 2528, 267, 543, 1686, 563, 268, 10289, 519, 22747, 540, 6792, 2488, 2189, 4030, 883, 519, 17027, 13300, 540, 938, 4541, 563, 268, 6250, 1746, 891, 22747, 666, 581, 606, 3078, 7045, 585, 2470, 12439, 543, 554, 1731, 619, 563, 300, 1410, 4815, 779, 15027, 2534, 666, 581, 14360, 1394, 6634, 540, 1296, 269, 634, 2197, 779, 4087, 2059, 519, 7414, 23580, 540, 9605, 267, 513, 3148, 1634, 585, 922, 20381, 543, 15027, 2534, 267, 814, 6766, 519, 5250, 540, 3875, 22747, 269, 901, 17027, 2534, 814, 1500, 6792, 513, 4241, 1747, 585, 3744, 543, 7045, 3464, 7567, 563, 3080, 540, 519, 1034, 4583, 15027, 2621, 538, 11204, 1686, 568, 519, 20349, 540, 519, 3474, 19107, 27713, 18962, 269, 769, 476, 3707, 274, 267, 513, 16027, 3957, 667, 542, 529, 1470, 17240, 18480, 729, 2324, 538, 1010, 8970, 7615, 950, 519, 2666, 10393, 29618, 1930, 267, 543, 513, 18962, 7153, 269, 901, 2680, 9676, 519, 1158, 779, 3007, 543, 6039, 607, 513, 6305, 1383, 540, 513, 18962, 779, 4332, 543, 2208, 563, 9961, 1686, 267, 6792, 779, 22747, 723, 5129, 1713, 2686, 5107, 269, 634, 3504, 25069, 14369, 543, 2904, 753, 2808, 22747, 607, 10723, 543, 2404, 873, 609, 741, 10971, 269, 1452, 12977, 3710, 741, 4872, 2282, 22747, 543, 5340, 18428, 543, 12738, 547, 4300, 848, 519, 15027, 24587, 563, 18698, 6792, 779, 22747, 3091, 7415, 4030, 883, 17027, 13300, 269, 1452, 22747, 4159, 1585, 2010, 540, 26706, 267, 8151, 689, 23292, 547, 5266, 9350, 2498, 15133, 26706, 269, 4197, 891, 9259, 2337, 3744, 1732, 10146, 519, 3047, 779, 6418, 2324, 563, 2005, 568, 849, 4241, 547, 7198, 519, 3309, 18508, 543, 21426, 602, 8853, 538, 16133, 547, 22747, 269, 634, 3638, 15027, 3037, 7028, 2189, 8134, 267, 543, 1082, 4686, 2249, 723, 9862, 547, 7639, 538, 891, 4101, 5054, 563, 13010, 267, 4974, 519, 22747, 540, 6792, 2488, 3407, 1702, 585, 9568, 23982, 543, 1981, 4879, 269, 1635, 4974, 2250, 26706, 543, 5464, 15027, 2534, 267, 3744, 666, 948, 2149, 519, 2199, 2551, 543, 11574, 519, 1761, 1764, 540, 15027, 2621, 563, 293, 9711, 827, 6792, 26439, 3996, 454, 347, 301, 5271, 5964, 632, 24729, 1075, 320, 1475, 275, 267, 276, 6507, 1475, 4467, 14658, 18962, 1475, 13750, 540, 6792, 2008, 19064, 4815, 632, 744, 10961, 19487, 1475, 276, 267, 277, 3607, 1475, 1805, 7806, 18240, 4754, 334, 1475, 19723, 659, 745, 345, 18025, 29301, 320, 2008, 21761, 18542, 5999, 630, 11902, 304, 994, 6701, 519, 22747, 540, 6792, 1869, 3742, 888, 8133, 267, 930, 540, 6792, 779, 22747, 616, 1869, 3742, 267, 609, 7377, 665, 520, 2946, 7065, 331, 1373, 835, 540, 519, 1034, 3742, 3283, 563, 4692, 596, 30382, 909, 6792, 779, 22747, 888, 8133, 267, 1082, 22747, 538, 6792, 2709, 19482, 3255, 269, 1717, 267, 621, 568, 1898, 547, 2638, 519, 2199, 2175 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4062, 4667, 547, 723, 1044, 9833, 607, 513, 561, 1393, 4062, 267, 4352, 519, 21917, 779, 30115, 814, 3366, 547, 930, 13509, 269, 634, 4266, 540, 5888, 267, 5156, 547, 2887, 1472, 476, 15876, 276, 630, 553, 6700, 676, 918, 984, 599, 20076, 264, 610, 693, 2547, 1063, 476, 15876, 275, 543, 476, 14690, 278, 267, 276, 949, 1448, 547, 513, 561, 1393, 960, 267, 607, 621, 729, 1472, 713, 942, 602, 29732, 729, 538, 3346, 609, 519, 454, 295, 691, 23143, 661, 747, 6199, 543, 7338, 918, 2129, 331, 327, 848, 630, 2644, 1070, 918, 761, 29531, 7137, 32218, 630, 2735, 273, 264, 585, 4320, 966, 270, 1015, 267, 661, 514, 29992, 333, 3331, 376, 828, 12340, 2536, 974, 918, 15442, 1512, 4546, 651, 4083, 3768, 918, 558, 6570, 523, 24166, 700, 2246, 523, 514, 11584, 618, 324, 267, 540, 519, 3026, 826, 29732, 13001, 288, 639, 326, 23042, 267, 476, 14631, 269, 962, 9655, 527, 820, 918, 984, 599, 20076, 267, 12603, 3502, 839, 577, 337, 3424, 20435, 1530, 30807, 1014, 29732, 338, 269, 667, 758, 2163, 566, 1775, 327, 17243, 9980, 19213, 331, 2426, 267, 4320, 26577, 270, 273, 630, 2735, 280, 264, 540, 519, 3026, 826, 29732, 13001, 288, 639, 326, 23042, 267, 476, 20385, 269, 634, 4644, 540, 713, 4062, 729, 4547, 547, 1250, 3007, 676, 1250, 2875, 267, 4414, 12107, 744, 685, 2414, 1961, 267, 945, 6700, 547, 803, 602, 972, 1522, 581, 513, 24396, 2460, 547, 519, 960, 269, 634, 1313, 1748, 6060, 568, 4371, 693, 772, 523, 334, 13001, 294, 27495, 523, 8535, 9142, 267, 19519, 630, 292, 747, 6199, 543, 918, 2129, 331, 327, 848, 267, 476, 14983, 1040, 661, 747, 6199, 543, 918, 2129, 331, 327, 848, 267, 476, 13923, 563, 22711, 540, 519, 5980, 585, 8535, 1108, 538, 8581, 267, 476, 272, 630, 1220, 276, 1700, 277, 1070, 533, 269, 476, 3451, 454, 2304, 928, 2274, 320, 1506, 561, 9790, 626, 8125, 341, 3780, 2274, 641, 1245, 1284, 1170, 269, 277, 1717, 267, 972, 616, 2042, 609, 2039, 950, 713, 4062, 568, 5129, 593, 519, 561, 1393, 543, 865, 621, 3788, 2864, 28430, 269, 8307, 519, 2776, 331, 8775, 568, 1404, 762, 1510, 1454, 27327, 269, 11048, 267, 519, 2556, 2242, 547, 519, 674, 1872, 826, 543, 1325, 5586, 549, 616, 1100, 811, 9097, 982, 1346, 1336, 538, 519, 9184, 331, 1155, 4528, 540, 519, 2672, 924, 538, 717, 5634, 630, 289, 310, 309, 476, 4200, 276, 264, 799, 568, 606, 11460, 540, 519, 8426, 334, 2672, 924, 538, 595, 630, 289, 310, 309, 476, 6200, 272, 1040, 278, 634, 2063, 1906, 13063, 540, 645, 310, 309, 476, 4200, 279, 616, 538, 1418, 9184, 331, 1155, 267, 7551, 9870, 2417, 2773, 2152, 269, 634, 1034, 2693, 6293, 1131, 3100, 547, 581, 519, 700, 2246, 523, 4546, 1188, 610, 700, 2246, 523, 743, 32667, 267, 513, 1507, 3771, 1186, 747, 867, 609, 513, 13974, 8032, 1560, 547, 602, 540, 513, 561, 1393, 269, 898, 1185, 8937, 12673, 726, 26786, 676, 513, 844, 650, 7271, 269, 279, 4340, 547, 519, 11891, 540, 7405, 538, 29732, 779, 15896, 1500, 693, 1010, 2669, 267, 29732, 11262, 1079, 561, 1393, 13001, 9618, 1186, 747, 3581, 30867, 6293, 649, 917, 2370, 827, 267, 607, 1100, 1383, 814, 15068, 543, 972, 616, 1906, 17245, 2959, 3823, 922, 2497, 269, 280, 20435, 26179, 3397, 878, 7637, 27416, 281, 2048, 19925, 519, 1032, 476, 14690, 271, 267, 538, 2274, 760, 345, 580, 267, 2348, 2938, 543, 4862, 513, 561, 1393, 13001, 9618, 1186, 747, 867, 2966, 676, 6004, 20435, 1530, 30807, 1014, 29732, 543, 13401, 676, 6004, 2098, 778, 926, 553, 670, 32499, 25912, 339, 267, 799, 729, 540, 4130, 2450, 982, 519, 8723, 3771, 1186, 747, 867, 9957, 1015, 898, 4667, 602, 1472, 476, 14690, 271, 29732, 729, 538, 3346, 609, 1284, 1170, 543, 849, 11262, 513, 561, 1393, 13001, 9618, 1186, 747, 867, 1765, 2399, 832, 602, 798, 711, 1118, 519, 3390, 540, 519, 31627, 540, 645, 310, 309, 476, 4200, 279, 1022, 20501, 269, 769, 606, 2376, 7231, 609, 519, 15747, 7399, 540, 645, 310, 309, 476, 4200, 279, 267, 26290, 523, 631, 269, 12358, 2692, 529, 20147, 281, 3267, 0, 19547, 1120, 757, 616, 16139, 1756, 610, 20962, 517, 622, 20919, 540, 1279, 5832, 1286, 7901, 344, 997, 7408, 563, 19547, 1120, 757, 568, 2500, 538, 1312, 2182, 543, 2571, 1216, 269, 5445, 723, 811, 26349, 2962, 982, 865, 2355, 454, 20779, 518, 1080, 540, 28052, 757, 616, 454, 272, 264, 16269, 616, 1875, 27500, 269, 28387, 789, 2014, 5533, 454, 273, 264, 19547, 1120, 757, 538, 1216, 4703, 786, 3132, 13479, 543, 786, 2569, 5135, 1543, 538, 1216, 454, 9773, 6458, 543, 13101, 12274, 616, 1459, 538, 2182, 1216, 454, 3719, 7429, 865, 2355, 28052, 757, 786, 711, 3132, 1202, 20107, 10511, 527, 919, 950, 538, 1216, 269, 810, 789, 616, 2500, 982, 865, 2355, 0, 9359, 513, 476, 1015, 28233, 5131, 23632, 547, 1133, 6674, 519, 9509, 5623, 454, 3963, 7689, 14136, 888, 8340, 2298, 3992, 4058, 2200, 267, 3728, 2336, 18704, 1299, 1121, 1460, 10070, 547, 12840, 563, 16391, 1125, 707, 6437, 609, 10070, 269, 14168, 2336, 5970, 942, 547, 581, 811, 3860, 1299, 17615, 609, 707, 1053, 2336, 1103, 713, 8239, 4976, 267, 1053, 2697, 519, 840, 6570, 531, 2453, 267, 3615, 267, 543, 840, 21752, 538, 476, 1015, 5220, 269, 4841, 849, 1224, 513, 6648, 1572, 834, 13328, 781, 7043, 652, 22054, 257, 543, 2328, 741, 1378, 4528, 563, 274, 14358, 476, 280, 20042, 0, 299, 1235, 540, 16767, 910, 9504, 454, 763, 1739, 568, 513, 1592, 540, 13091, 8638, 267, 543, 540, 1283, 16767, 676, 9588, 454, 663, 28896, 269, 12937, 269, 1496, 327, 728, 4940, 476, 272, 700, 1235, 676, 1974, 282, 476, 273, 700, 1235, 676, 2197, 282, 476, 274, 700, 1235, 676, 454, 2958, 542, 282, 476, 275, 700, 17999, 16767, 3267, 2859, 19314, 13202, 476, 1691, 267, 476, 1001, 276, 3267, 700, 17999, 32495, 1389, 538, 519, 2622, 4595, 476, 5002, 271, 269, 634, 8638, 543, 3267, 476, 280, 269, 8832, 454, 11764, 21358, 267, 12868, 267, 476, 1220, 276, 476, 6734, 476, 2764, 267, 476, 279, 269, 277, 267, 476, 273, 269, 5400, 267, 476, 9032, 269, 4905, 267, 623, 14701, 269, 476, 1015, 269, 2667, 600, 910, 4429, 14257, 476, 1321, 267, 476, 1001, 272, 3267, 6423, 1018, 519, 7887, 16767, 547, 3731, 1479, 519, 4541, 941, 267, 1141, 789, 5949, 454, 11321, 476, 1691, 267, 476, 1001, 272, 3267, 3371, 616, 519, 476, 1015, 7887, 16767, 9571, 2094, 5638, 3459, 563, 12749, 14210, 5903, 540, 519, 700, 17999, 32495, 1389, 17451, 16680, 539, 538, 3778, 676, 13804, 3363, 454, 1862, 476, 279, 543, 476, 280, 267, 972, 616, 1152, 3670, 593, 2594, 602, 723, 6027, 1063, 476, 280, 543, 476, 1015, 563, 1607, 2376, 786, 1683, 596, 513, 1592, 540, 5440, 476, 1015, 700, 17999, 32495, 1389, 538, 519, 1158, 269, 9603, 454, 1729, 13120, 538, 17688, 1108, 543, 17027, 5619, 621, 781, 3833, 2653, 547, 563, 2080, 616, 519, 476, 1015, 16999, 6592, 16767, 676, 9588, 2094, 476, 5002, 271, 563, 4178, 269, 2532, 2593, 30819, 19834, 286, 336, 284, 1015, 700, 17999, 32495, 1389, 261, 341, 284, 279, 308, 1794, 6395, 321, 345, 339, 300, 271, 454, 15037, 476, 2190, 267, 476, 1001, 277, 3267, 3371, 616, 1283, 476, 1015, 1592, 1592, 540, 519, 700, 17999, 32495, 1389, 538, 519, 3778, 676, 9588, 20620, 5472, 11742, 12749, 4427, 18285, 547, 3776, 8756, 268, 4179, 2517, 2998, 334, 3052, 331, 18025, 308, 332, 278, 10498, 4429, 4178, 269, 2532, 2593, 30819, 19834, 286, 336, 284, 1015, 700, 17999, 32495, 1389, 261, 341, 284, 322, 343, 327, 330, 345, 343, 5400, 298, 297, 296, 454, 19878, 476, 1556, 267, 476, 1001, 276, 3267, 476, 1015, 7887, 16767, 538, 1686, 269, 901, 1592, 3568, 4557, 540, 519, 16999, 267, 4666, 31586, 454, 663, 1034, 3532, 16767, 2479, 6592, 1472, 519, 4429, 14257, 476, 2767, 267, 476, 1001, 276, 3267, 3245, 519, 18310, 32495, 820, 602, 814, 865, 2484, 10645, 936, 476, 4335, 271, 2729, 547, 5800, 268, 879, 8894, 7468, 1550, 267, 27425, 267, 891, 616, 476, 1839, 540, 519, 10782, 16767, 538, 1686, 269, 3267, 634, 476, 279, 269, 273, 454, 332, 1725, 3363, 610, 476, 273, 269, 273, 8566, 580, 26293, 844, 820, 1152, 16768, 585, 476, 1015, 7643, 267, 855, 4547, 513, 3267, 0, 763, 19997, 12826, 1523, 5267, 602, 519, 5610, 540, 519, 1082, 1114, 454, 322, 30743, 540, 2136, 2276, 7264, 9192, 899, 513, 19997, 267, 607, 10353, 547, 519, 811, 454, 12914, 476, 2918, 267, 476, 1001, 273, 3267, 1548, 568, 519, 2104, 540, 21939, 538, 3013, 286, 1635, 23745, 590, 269, 18897, 660, 517, 563, 1607, 2203, 540, 7292, 5610, 666, 581, 4330, 607, 513, 19997, 12826, 267, 609, 1004, 540, 454, 18528, 5166, 4529, 2713, 538, 10103, 267, 899, 519, 23858, 267, 14274, 543, 17436, 538, 513, 4429, 763, 9253, 1154, 8000, 12411, 639, 634, 6428, 611, 30558, 269, 2904, 476, 274, 267, 476, 1220, 277, 676, 667, 15967, 590, 29229, 269, 594, 729, 538, 454, 28657, 2063, 3018, 543, 1185, 606, 4277, 2911, 609, 1250, 9348, 9920, 593, 519, 1259, 4429, 763, 13621, 1494, 3069, 267, 849, 5219, 547, 607, 2686, 3267, 12826, 21658, 1141, 519, 454, 532, 19263, 616, 9415, 3267, 769, 519, 2013, 540, 519, 19997, 12826, 267, 2686, 2516, 563, 15037, 476, 1556, 267, 476, 1001, 275, 3267, 17813, 568, 711, 606, 3390, 538, 3013, 269, 3502, 15042, 693, 2547, 269, 9406, 286, 1284, 723, 606, 3979, 454, 12677, 7022, 269, 3502, 3025, 693, 12548, 3557, 4429, 10521, 1514, 6436, 540, 11776, 5397, 713, 6643, 281, 519, 13621, 1494, 543, 519, 454, 15680, 611, 12826, 269, 634, 968, 27839, 1154, 8000, 892, 7869, 269, 634, 2856, 540, 519, 2136, 2276, 607, 513, 4429, 13971, 476, 2190, 267, 476, 1960, 271, 3267, 8836, 4763, 281, 1412, 763, 6428, 611, 30558, 7869, 8339, 8836, 4763, 269, 898, 781, 513, 8360, 4862, 454, 21865, 689, 269, 2475, 293, 16984, 543, 538, 1534, 320, 268, 512, 1308, 3332, 4429, 293, 698, 560, 4752, 281, 20308, 570, 3696, 585, 8682, 5025, 1087, 20156, 910, 1411, 666, 1265, 606, 2653, 4528, 540, 454, 1492, 1257, 1934, 281 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 632, 10968, 707, 1648, 267, 6028, 596, 4743, 4617, 267, 25356, 267, 543, 856, 540, 7362, 1310, 1256, 8766, 2168, 2534, 269, 11635, 10638, 666, 849, 1764, 707, 7099, 267, 4929, 4965, 6438, 2589, 971, 607, 29338, 543, 7411, 23622, 269, 2755, 513, 2241, 1973, 1449, 666, 2995, 707, 4387, 952, 596, 723, 606, 4401, 10638, 267, 952, 596, 2461, 4743, 13110, 543, 1835, 1678, 344, 782, 519, 942, 267, 621, 779, 513, 1434, 2856, 547, 4983, 519, 2179, 540, 4401, 538, 707, 2732, 563, 763, 2698, 3170, 538, 707, 3232, 2732, 1058, 3328, 1100, 811, 982, 476, 1789, 2600, 540, 707, 2698, 8477, 10057, 269, 1656, 15459, 3170, 1058, 581, 1100, 811, 982, 476, 1015, 2600, 540, 1346, 476, 1789, 2600, 540, 8477, 269, 634, 2179, 540, 3170, 543, 15459, 3170, 596, 3548, 5673, 593, 519, 3536, 596, 2824, 543, 8532, 602, 723, 3170, 538, 873, 269, 6333, 17874, 609, 513, 6484, 3318, 547, 1451, 811, 827, 875, 547, 5173, 707, 3170, 2115, 543, 547, 711, 9765, 1018, 616, 2635, 5666, 269, 1703, 616, 1082, 2645, 2139, 547, 948, 596, 3313, 875, 1454, 3170, 596, 1058, 8532, 1142, 1554, 1759, 593, 707, 1699, 1648, 543, 6484, 2115, 269, 7335, 1426, 10297, 568, 835, 1259, 547, 2253, 547, 2697, 1141, 543, 875, 1454, 3170, 568, 538, 1880, 1426, 3688, 563, 5475, 22797, 269, 13722, 2157, 540, 21110, 1310, 22797, 6318, 707, 1981, 585, 5312, 3676, 971, 607, 2295, 2068, 267, 8482, 267, 543, 3987, 267, 543, 21404, 267, 513, 2783, 602, 3123, 707, 7633, 547, 1831, 4617, 543, 2736, 3362, 269, 1548, 596, 3548, 849, 5540, 891, 5312, 3676, 269, 13185, 547, 707, 4387, 827, 2635, 4189, 4566, 543, 2436, 596, 991, 811, 7513, 543, 6171, 667, 547, 2149, 707, 7633, 269, 3367, 811, 827, 875, 1360, 1970, 21110, 2157, 1860, 707, 1072, 538, 938, 9093, 18108, 3296, 269, 4107, 2021, 849, 991, 7864, 8477, 607, 789, 2085, 267, 1317, 540, 1447, 4887, 543, 1447, 2168, 2534, 269, 4855, 856, 875, 1082, 8477, 596, 991, 1759, 593, 707, 1377, 540, 2534, 563, 2252, 596, 2219, 1257, 532, 4957, 707, 2648, 1272, 267, 4952, 1018, 621, 1223, 798, 585, 707, 22765, 1467, 269, 1879, 1004, 4607, 30973, 1257, 6835, 5009, 3635, 543, 2635, 5615, 7466, 513, 3018, 630, 328, 4318, 1421, 968, 16605, 538, 519, 26806, 513, 2098, 328, 680, 665, 609, 18233, 543, 3348, 583, 5388, 476, 275, 2656, 15165, 269, 5410, 476, 272, 5569, 10381, 476, 275, 5946, 25257, 789, 4503, 606, 3328, 540, 827, 476, 274, 2600, 540, 741, 1560, 2597, 538, 476, 1321, 4374, 269, 19893, 538, 519, 9098, 20448, 2160, 1353, 849, 4951, 606, 6454, 538, 4189, 5615, 267, 3635, 267, 543, 6484, 1582, 30797, 267, 543, 4080, 602, 519, 5931, 5280, 873, 9772, 891, 1007, 6208, 269, 4855, 1072, 16490, 2828, 543, 5048, 1142, 824, 23106, 267, 610, 1982, 707, 6049, 547, 6494, 3054, 2635, 4189, 4388, 269, 0, 763, 667, 4592, 17232, 13160, 616, 513, 3309, 267, 14421, 641, 13457, 1920, 540, 13733, 267, 799, 2882, 4829, 13733, 269, 6271, 20775, 1920, 540, 13733, 267, 570, 32397, 761, 13160, 267, 849, 2882, 2249, 1634, 607, 834, 20791, 4829, 13733, 2668, 634, 1655, 1634, 2249, 540, 519, 667, 4592, 17232, 13160, 568, 667, 4592, 32166, 14264, 690, 2120, 267, 1369, 519, 12593, 667, 4592, 32166, 267, 543, 713, 2249, 568, 1031, 14916, 585, 2090, 7282, 11976, 267, 1646, 267, 17550, 267, 14498, 543, 7180, 269, 901, 4829, 8038, 568, 6140, 7768, 540, 2022, 2173, 527, 5328, 2281, 267, 814, 513, 1360, 2110, 14438, 267, 543, 2982, 16795, 10172, 269, 1306, 538, 824, 2249, 267, 2837, 7506, 519, 1272, 1686, 540, 519, 3662, 269, 11153, 6090, 723, 1044, 4857, 602, 666, 581, 26203, 547, 8831, 519, 14438, 540, 891, 7786, 563, 23744, 267, 546, 4592, 17232, 1749, 616, 2808, 547, 581, 562, 7572, 766, 13733, 2864, 982, 10860, 267, 2094, 1034, 2249, 9742, 538, 4232, 1154, 1570, 269, 2098, 777, 337, 542, 639, 21944, 639, 2871, 24473, 568, 8966, 1851, 667, 4592, 17232, 13160, 2249, 538, 1373, 513, 3978, 267, 3119, 11641, 540, 693, 2547, 835, 5010, 4829, 267, 4453, 338, 538, 8478, 269, 6271, 2249, 267, 667, 4592, 32166, 647, 345, 4157, 4512, 267, 1102, 3949, 6094, 1606, 7219, 2740, 4829, 971, 607, 678, 5684, 11241, 543, 10027, 1845, 543, 666, 581, 513, 3978, 6694, 11641, 269, 667, 4592, 32166, 556, 921, 3279, 16793, 9468, 28368, 543, 3262, 4551, 269, 22500, 13733, 538, 2489, 616, 2808, 607, 513, 1455, 6152, 538, 9070, 908, 1035, 2045, 3679, 4551, 538, 2470, 269, 901, 1419, 21219, 519, 4568, 18829, 1184, 543, 666, 25010, 14420, 610, 9174, 676, 7432, 621, 883, 16693, 563, 763, 10368, 4162, 585, 667, 4592, 17232, 13160, 1331, 519, 4527, 540, 606, 18106, 23658, 739, 531, 18916, 267, 1079, 9397, 538, 519, 1942, 531, 18916, 267, 513, 1507, 1387, 1591, 538, 519, 13617, 267, 4780, 7217, 2022, 334, 3250, 541, 1490, 30178, 282, 543, 2356, 1614, 28882, 1490, 30178, 593, 1142, 2427, 540, 519, 2212, 267, 835, 9859, 4464, 543, 519, 824, 1079, 9859, 15493, 1189, 269, 2859, 3573, 8446, 4162, 666, 581, 1336, 538, 834, 291, 4592, 32166, 281, 589, 6651, 547, 15661, 22384, 543, 2422, 257, 676, 1703, 572, 589, 269, 4460, 578, 543, 18536, 744, 262, 294, 2784, 344, 267, 630, 10907, 27854, 4964, 267, 476, 1220, 276, 264, 9768, 476, 271, 268, 1321, 268, 5325, 274, 32180, 268, 274, 610, 834, 291, 4592, 32166, 281, 589, 12524, 18361, 257, 676, 631, 269, 12891, 14315, 518, 267, 918, 269, 717, 4301, 267, 590, 269, 8316, 2917, 267, 630, 290, 1245, 11354, 23320, 12524, 4964, 267, 476, 1220, 276, 1916, 8170, 741, 1082, 23640, 1996, 15495, 267, 950, 667, 4592, 32166, 14264, 690, 2120, 13733, 1294, 4775, 12586, 1998, 1439, 641, 31730, 527, 1355, 729, 1186, 267, 789, 6467, 547, 18413, 741, 5798, 538, 4568, 2000, 23565, 1426, 2959, 971, 607, 4232, 1154, 4829, 269, 23560, 865, 14014, 519, 13733, 689, 4742, 3984, 547, 519, 16793, 267, 607, 519, 729, 1186, 723, 513, 1970, 4568, 10892, 269, 901, 9065, 760, 3789, 2623, 1689, 1152, 4386, 2390, 7487, 519, 4775, 729, 335, 12586, 9366, 543, 1281, 711, 1491, 1747, 538, 519, 4527, 540, 519, 5256, 729, 335, 12586, 9366, 563, 763, 1920, 3568, 811, 982, 476, 275, 267, 1822, 2249, 9286, 896, 476, 4037, 25281, 269, 21298, 267, 513, 3102, 29981, 8760, 540, 519, 25281, 1759, 593, 1312, 7636, 543, 24466, 3197, 814, 1044, 3370, 563, 763, 6682, 650, 13160, 616, 513, 1920, 540, 13733, 267, 610, 667, 760, 614, 320, 269, 634, 1920, 814, 2947, 25281, 630, 27917, 2713, 282, 835, 8093, 1040, 5141, 611, 5255, 320, 9508, 630, 12187, 994, 5141, 611, 5255, 320, 9508, 568, 513, 12593, 540, 838, 8077, 30132, 13733, 267, 7786, 538, 519, 1920, 667, 4592, 17232, 13160, 269, 1703, 616, 693, 2547, 476, 6344, 4330, 2249, 538, 1849, 611, 5255, 320, 9508, 5861, 584, 2023, 582, 13160, 454, 763, 4354, 339, 582, 517, 13160, 610, 844, 553, 574, 29081, 13733, 616, 513, 1507, 1920, 540, 1507, 15454, 547, 4158, 6960, 1208, 335, 3724, 539, 13733, 630, 291, 760, 614, 320, 264, 609, 513, 5001, 3892, 267, 855, 609, 1360, 1906, 2249, 538, 519, 14033, 8157, 267, 3851, 22057, 23860, 4117, 1014, 267, 543, 6022, 320, 792, 8157, 4525, 269, 4107, 2818, 540, 519, 1920, 616, 1336, 538, 9341, 547, 31210, 4234, 6421, 538, 4000, 543, 519, 3026, 582, 1886, 923, 269, 3509, 2611, 19888, 8282, 538, 10070, 267, 2094, 2370, 960, 593, 519, 1920, 814, 1044, 2944, 2094, 519, 476, 4350, 271, 338, 6185, 328, 770, 520, 13160, 454, 13312, 770, 520, 13160, 616, 513, 1920, 540, 13733, 267, 543, 616, 538, 519, 1931, 667, 760, 614, 320, 269, 1358, 2049, 5097, 538, 519, 4591, 541, 8157, 16323, 267, 855, 1896, 2249, 616, 1634, 689, 519, 31970, 267, 3026, 582, 7211, 267, 543, 3851, 22057, 4525, 269, 16840, 540, 519, 1920, 1297, 936, 476, 736, 4330, 2249, 538, 1614, 25281, 269, 1703, 568, 606, 3606, 8093, 12593, 6185, 4592, 32166, 454, 291, 4592, 32166, 20465, 568, 513, 12593, 540, 13733, 267, 10362, 547, 519, 1920, 667, 4592, 17232, 13160, 267, 4171, 2818, 616, 1419, 1572, 834, 20791, 4829, 13733, 257, 610, 630, 1652, 4749, 264, 533, 558, 864, 13733, 267, 16693, 13733, 267, 610, 9174, 13733, 267, 513, 4704, 547, 519, 8984, 540, 1082, 2249, 547, 561, 5424, 1472, 936, 686, 701, 610, 4232, 1154, 4829, 269, 1358, 1058, 711, 581, 11821, 609, 519, 570, 32397, 761, 13160, 267, 513, 1644, 1920, 267, 799, 616, 849, 1572, 4829, 13733, 630, 27271, 5219, 547, 607, 834, 25152, 4829, 13733, 257, 5148, 751, 874, 761, 1749, 3049, 5097, 593, 796, 686, 701, 610, 22691, 4829, 267, 609, 1082, 2249, 1373, 9833, 607, 16160, 6694, 10860, 267, 2523, 519, 11335, 4829, 8038, 269, 2290, 2249, 540, 667, 4592, 32166, 538, 1880, 267, 667, 269, 14264, 690, 2120, 267, 814, 1044, 8185, 1031, 538, 1382, 538, 11976, 543, 568, 513, 1455, 2203, 11248, 538, 11095, 7350, 269, 634, 2474, 834, 26258, 8038, 257, 543, 834, 291, 4592, 32166, 257, 616, 1419, 1031, 28395, 3585, 609, 667, 269, 14264, 690, 2120, 538, 2413, 6211, 3332, 269, 634, 3003, 12593, 267, 2705, 267, 3568, 811, 982, 476, 272, 267, 4335, 2249, 543, 568, 1360, 3309, 538, 5920, 267, 2623, 267, 543, 9960, 7226, 6185, 4592, 32166, 630, 11357, 2102, 639, 994, 291, 4592, 32166, 568, 513, 1612, 777, 1506, 2280, 545, 24848, 639, 540, 519, 12593, 667, 4592, 32166, 267, 513, 8760, 540, 4829, 13733, 269, 901, 24848, 639, 729, 1101, 4330, 676, 21238, 853, 584, 974, 2779, 538, 476, 4350, 280, 6185, 4592, 32166, 26816, 2967, 18424, 454, 291, 4592, 32166, 26816, 2967, 18424, 729, 513, 2249, 540, 8038, 538, 1920, 667, 4592, 17232, 13160, 602, 729, 21049, 547, 16127, 269, 898, 5030, 593, 700, 5953, 3534, 390, 375, 328, 267, 543, 7654, 593, 744, 390, 375, 24660, 6185, 4592, 32166, 14264, 690, 2120, 2249, 1895, 454, 763, 667, 4592, 32166, 14264, 690, 2120, 2249, 1895, 12851, 547, 519, 24848, 639, 20153, 641, 1817, 320, 543, 3568, 476, 1015, 1016, 25364, 269, 634, 18105, 4094, 344, 538, 713, 2249, 1895, 568, 14605, 1634, 5103, 1082, 2090, 8720, 1082, 540, 519, 2249, 1016, 25364, 269, 634, 1034, 2693, 7778, 568, 602, 519, 1585, 1016, 25364, 11651, 1540, 689, 1142, 824, 538, 513, 3448, 2110, 12105, 942, 7406, 269, 8422, 1016, 25364, 723, 711, 2943, 1044, 11567, 538, 7636, 2090, 267, 543, 741, 2990, 538, 519, 18105, 4094, 344, 568, 15458, 269, 634, 647, 345, 4157, 4512, 32299, 568, 1612, 777, 1506, 2280, 545, 607, 667, 269, 23058, 760, 12447, 568, 18928, 5116, 1369, 519, 1605, 7540, 32299, 563, 291, 269, 7202, 10306, 1092, 2249, 32299, 454, 291, 269, 1605, 7540, 2249, 32299, 454, 291, 269, 552, 1872, 2350, 18442, 2249, 32299, 454, 291, 269, 535, 16307, 874, 10042, 2249, 32299, 454, 291, 269, 7657, 2129, 597, 3279, 2249, 32299, 454, 291, 269, 1279, 1170, 9874, 2249, 32299, 454, 291, 269, 14264, 690, 2120, 2249, 32299, 454, 291, 269, 678, 7749, 531, 10394, 2249, 32299, 454, 291, 269, 647, 345, 4157, 4512, 2249, 32299, 454, 291, 269, 512, 752, 1695, 1662, 4512, 2249, 32299, 291, 4592, 32166, 1086, 574, 18442, 454, 291, 4592, 32166, 1086, 574, 18442, 568, 513, 2249, 540, 4829, 8038, 602, 568, 513, 11078, 2249, 547, 667, 269, 29660, 984, 2675, 3120, 267, 543, 729, 835, 540, 476, 1321, 4829, 12187, 25450, 3524, 10642, 585, 513, 1804, 13354, 1353, 6185, 4592, 17232, 2088, 324, 454, 763, 667, 4592, 17232, 2088, 324, 616, 519, 4102, 1016, 26967, 538, 519, 667, 4592, 17232, 13160, 269, 634, 824, 1016, 26967, 568, 519, 853, 1122, 534, 2088, 324, 9950, 874, 11770, 5090, 2801, 454, 292, 874, 11770, 5090, 2801, 630, 17060, 8038, 267, 3006, 1490, 710, 8038, 264, 568, 513, 1920, 540, 7786, 538, 519, 1931, 667, 760, 614, 320, 563, 4537, 648, 13733, 616, 6263, 13733, 602, 666, 581, 1336, 2282, 694, 1662, 2803, 610, 693, 4130, 24654, 7297, 267, 971, 607, 22253, 269, 6168, 476, 273, 267, 1822, 2249, 723, 1044, 4330, 5001, 267, 1519, 744, 577, 1492, 571, 563, 763, 19386, 8038, 267, 4477, 2801, 3912, 807, 4620, 14337, 328, 267, 568, 519, 1152, 1634, 5521, 4171, 16793, 2661, 538, 6923, 9648, 19020, 19386, 269, 6271, 8037, 2249, 568, 661 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 948, 563, 279, 17828, 9315, 10632, 585, 18014, 619, 454, 5629, 707, 9251, 518, 4991, 519, 13793, 540, 513, 3556, 3014, 267, 789, 1522, 711, 1616, 547, 3247, 2336, 24426, 828, 8881, 585, 18014, 619, 454, 30395, 513, 2318, 2078, 609, 3059, 3457, 543, 1305, 707, 1126, 909, 585, 2922, 6880, 1967, 563, 23530, 3590, 585, 8866, 910, 9752, 519, 9891, 3590, 454, 5938, 778, 707, 3214, 519, 9238, 540, 519, 3859, 1062, 267, 609, 891, 4388, 267, 5013, 267, 543, 2238, 269, 0, 16085, 2133, 1399, 1475, 8447, 4915, 543, 14317, 11406, 288, 577, 14792, 536, 2720, 4345, 568, 536, 2720, 4345, 630, 514, 25691, 540, 861, 2617, 658, 5485, 264, 540, 536, 2720, 320, 13883, 1657, 519, 24450, 540, 25688, 547, 18287, 2033, 639, 20193, 2164, 689, 936, 2224, 543, 9849, 540, 9395, 10887, 563, 289, 1461, 5735, 568, 519, 7936, 543, 20614, 540, 7350, 602, 2090, 519, 19916, 267, 14498, 267, 11976, 543, 1979, 17190, 540, 4551, 607, 1134, 607, 1082, 824, 3344, 1644, 547, 873, 269, 901, 30834, 1707, 540, 8762, 5735, 3322, 519, 8446, 267, 8760, 267, 543, 18572, 540, 9190, 2249, 269, 5221, 540, 519, 16726, 540, 3206, 543, 2324, 609, 14471, 824, 982, 4551, 267, 971, 607, 1486, 9926, 10394, 267, 13271, 267, 543, 8290, 267, 972, 814, 1044, 513, 12402, 585, 519, 2361, 540, 3566, 5735, 547, 8831, 607, 8762, 5735, 269, 634, 2474, 941, 19497, 1419, 1031, 30430, 269, 1717, 267, 3566, 5735, 666, 581, 9286, 607, 513, 3982, 2257, 563, 13312, 14007, 8364, 321, 600, 8872, 630, 291, 4488, 264, 568, 513, 6646, 1031, 538, 519, 2126, 540, 2083, 926, 12118, 1519, 30754, 2083, 926, 12118, 267, 9341, 17422, 552, 28009, 17232, 807, 267, 543, 3138, 15633, 269, 898, 949, 849, 581, 1031, 585, 6604, 540, 3138, 15633, 538, 1346, 693, 1164, 1981, 269, 2755, 621, 814, 1044, 1031, 585, 593, 577, 665, 518, 857, 12118, 267, 1775, 591, 332, 24514, 568, 9053, 269, 898, 568, 3144, 676, 5023, 563, 288, 536, 684, 542, 267, 849, 1634, 607, 10689, 5060, 1130, 326, 639, 267, 568, 513, 22775, 640, 540, 519, 4745, 8220, 519, 2462, 23179, 547, 519, 3723, 269, 634, 2462, 23179, 1419, 536, 1742, 2509, 519, 824, 19462, 543, 519, 4745, 3587, 2699, 543, 11213, 269, 634, 12614, 540, 536, 684, 687, 568, 3335, 16795, 269, 1290, 4124, 949, 1331, 536, 2720, 4345, 610, 12263, 563, 763, 31456, 25688, 610, 24933, 10260, 267, 849, 1634, 607, 519, 18287, 2033, 531, 25688, 267, 568, 513, 25688, 693, 519, 1394, 540, 519, 2539, 1850, 267, 543, 568, 519, 5394, 652, 538, 519, 1480, 1560, 269, 898, 5713, 547, 8936, 519, 2030, 30213, 267, 8819, 10635, 26937, 3780, 630, 322, 2788, 264, 543, 6852, 639, 6091, 547, 519, 18287, 2033, 639, 630, 31856, 264, 5642, 269, 1452, 6091, 267, 9117, 3842, 519, 25688, 267, 2014, 2030, 541, 4827, 542, 540, 519, 3723, 693, 519, 21721, 4745, 267, 543, 4827, 542, 693, 519, 12597, 563, 301, 777, 6918, 523, 267, 4421, 896, 519, 6216, 2012, 22176, 557, 1851, 1866, 267, 568, 513, 1875, 3122, 18042, 4550, 13611, 3075, 630, 301, 6347, 2839, 264, 1031, 547, 1521, 1928, 267, 18492, 25574, 267, 12982, 3676, 971, 607, 27131, 12263, 267, 543, 8611, 269, 898, 568, 3144, 30375, 269, 898, 568, 2139, 538, 7525, 543, 16607, 5305, 30422, 269, 744, 985, 564, 540, 2360, 568, 1369, 606, 5662, 543, 2063, 585, 909, 547, 12964, 3108, 563, 289, 2720, 4345, 568, 519, 6553, 540, 835, 610, 811, 536, 2720, 2801, 540, 861, 2617, 658, 5714, 538, 519, 1560, 269, 1358, 616, 20898, 609, 513, 861, 2617, 658, 9245, 602, 5728, 525, 513, 19149, 908, 861, 2617, 658, 5714, 269, 1703, 616, 811, 982, 476, 5611, 536, 2720, 2801, 538, 519, 1480, 1560, 269, 634, 536, 2720, 2801, 1964, 693, 519, 2798, 1141, 4835, 1599, 2456, 267, 971, 607, 6091, 543, 28844, 267, 13472, 2066, 5642, 269, 13245, 536, 2720, 2801, 1711, 513, 5347, 267, 3592, 11508, 1652, 6198, 1350, 4575, 2627, 1818, 3339, 3350, 1928, 1652, 269, 1879, 536, 2720, 4345, 4386, 267, 2705, 267, 3350, 13461, 593, 519, 28332, 536, 2720, 320, 3587, 2352, 543, 11213, 269, 5047, 267, 3350, 540, 28844, 543, 6091, 936, 519, 28332, 536, 2720, 320, 24395, 919, 922, 6553, 267, 31328, 519, 1966, 269, 26298, 666, 849, 581, 13888, 2989, 563, 301, 7002, 667, 269, 4446, 333, 731, 568, 606, 1977, 2278, 267, 4791, 11001, 267, 543, 15713, 7022, 540, 519, 4284, 5974, 9730, 585, 13786, 1043, 6925, 630, 303, 10135, 300, 1916, 290, 1030, 531, 1410, 514, 267, 849, 25250, 524, 31525, 1410, 514, 267, 568, 606, 15084, 602, 666, 1521, 513, 1297, 540, 9190, 5563, 269, 898, 19754, 6121, 25698, 543, 930, 6121, 24308, 4551, 676, 27200, 519, 2208, 540, 519, 9190, 1591, 3774, 269, 595, 1030, 531, 1410, 514, 568, 513, 12498, 2000, 716, 600, 15084, 1369, 519, 1362, 540, 1101, 22831, 524, 31525, 30950, 1231, 269, 898, 1568, 13974, 547, 824, 8069, 1369, 713, 1362, 267, 1519, 32326, 524, 1030, 1794, 22223, 267, 855, 666, 581, 3144, 676, 5023, 563, 7093, 6312, 15362, 536, 2720, 4345, 568, 606, 6553, 540, 519, 3341, 520, 15362, 536, 2720, 320, 693, 519, 4395, 540, 519, 12597, 269, 898, 568, 6825, 676, 11926, 693, 519, 12597, 267, 799, 666, 581, 13035, 547, 519, 5905, 543, 799, 3622, 1281, 711, 6615, 519, 12597, 781, 2039, 540, 5163, 269, 898, 666, 581, 5393, 11213, 543, 771, 29058, 607, 1279, 607, 519, 5817, 2783, 26251, 563, 302, 548, 322, 3757, 517, 536, 2720, 4345, 568, 513, 2783, 6353, 676, 11926, 267, 25017, 267, 543, 1928, 693, 519, 9133, 540, 519, 23969, 269, 1403, 519, 5817, 2014, 568, 1813, 547, 606, 3968, 267, 8611, 949, 581, 1459, 269, 634, 2783, 568, 5266, 1455, 543, 568, 835, 540, 519, 1034, 7928, 2010, 540, 536, 2720, 4345, 563, 8138, 659, 668, 658, 536, 2720, 4345, 568, 513, 2783, 3361, 676, 6553, 540, 519, 536, 2720, 320, 602, 24508, 519, 9120, 2627, 540, 519, 647, 1440, 5684, 514, 9850, 25688, 689, 519, 936, 2391, 1351, 23147, 14092, 668, 658, 30301, 267, 1035, 668, 542, 267, 543, 1351, 659, 1355, 543, 689, 519, 2620, 2627, 540, 519, 1642, 339, 1355, 4887, 269, 634, 1016, 659, 668, 658, 536, 2720, 320, 2337, 519, 5163, 540, 519, 647, 1440, 5684, 514, 9850, 25688, 540, 519, 4232, 1807, 524, 4428, 538, 2238, 971, 607, 16841, 960, 563, 303, 525, 20735, 518, 19434, 4016, 547, 519, 8580, 334, 1441, 28844, 540, 1614, 6091, 602, 7696, 5196, 519, 606, 614, 15701, 658, 2627, 540, 519, 9938, 2711, 512, 28992, 269, 634, 6091, 616, 519, 521, 691, 528, 3780, 267, 1178, 4290, 529, 543, 5033, 527, 754, 16394, 639, 3006, 5219, 547, 607, 519, 18560, 887, 6647, 269, 634, 2012, 834, 2998, 846, 3723, 257, 14340, 689, 519, 1614, 17376, 784, 539, 6073, 538, 799, 519, 8580, 334, 1441, 25688, 7696, 338, 5196, 519, 512, 28992, 563, 14813, 1905, 520, 15362, 536, 2720, 4345, 568, 6553, 540, 519, 21603, 610, 2620, 1102, 1905, 520, 15362, 536, 2720, 320, 269, 12580, 949, 1331, 12597, 1928, 267, 11926, 267, 543, 25017, 1175, 2630, 519, 9054, 1815, 777, 269, 898, 949, 581, 7294, 676, 1273, 15362, 25688, 4345, 563, 27802, 21114, 18041, 2867, 26952, 616, 513, 1362, 540, 7135, 1759, 2390, 519, 18041, 2867, 8533, 2497, 282, 621, 2882, 782, 12045, 7135, 799, 616, 4646, 676, 13868, 267, 610, 2655, 23082, 267, 835, 610, 811, 7250, 8444, 538, 519, 18041, 2867, 8533, 4295, 2497, 609, 2655, 15856, 757, 269, 634, 7135, 538, 713, 1362, 12732, 513, 3099, 540, 14278, 1670, 1016, 5035, 525, 267, 1519, 8102, 1218, 267, 26003, 11077, 267, 543, 26390, 514, 11077, 267, 1851, 1866, 269, 6201, 540, 2655, 21114, 18041, 2867, 26952, 616, 18041, 2867, 8533, 630, 527, 1345, 1070, 8715, 2086, 2867, 8533, 267, 3134, 1117, 9068, 267, 18216, 514, 821, 267, 4307, 3410, 710, 267, 544, 788, 1156, 3410, 710, 267, 1207, 335, 1886, 542, 267, 8715, 2135, 2988, 1156, 8533, 267, 694, 5586, 559, 710, 267, 993, 325, 788, 1090, 821, 267, 7510, 549, 1998, 518, 821, 267, 11022, 7246, 630, 1815, 560, 6470, 1070, 543, 667, 6865, 630, 4306, 303, 1916, 303, 525, 20735, 518, 710, 536, 2720, 4345, 568, 606, 12982, 2783, 540, 519, 31443, 630, 27903, 264, 12597, 693, 519, 20735, 518, 710, 536, 2720, 320, 267, 513, 1016, 16757, 536, 2720, 320, 267, 1175, 2630, 519, 26240, 20735, 518, 19434, 563, 298, 26234, 1928, 568, 1928, 538, 610, 1472, 519, 12597, 563, 9773, 6900, 536, 2720, 4345, 4016, 547, 7513, 12074, 1369, 519, 536, 2720, 2801, 269, 901, 1034, 4386, 538, 519, 13105, 1858, 269, 634, 1034, 1455, 536, 2720, 320, 585, 1608, 6900, 536, 2720, 4345, 547, 2049, 568, 519, 1016, 659, 668, 658, 536, 2720, 320, 269, 589, 536, 2720, 320, 568, 513, 1507, 267, 5714, 23752, 5485, 602, 6971, 11508, 267, 543, 16881, 5322, 1063, 922, 11105, 8031, 269, 769, 25691, 540, 519, 536, 2720, 2801, 568, 1572, 536, 2720, 4345, 563, 14303, 20934, 322, 2033, 531, 536, 2720, 4345, 568, 606, 6553, 540, 519, 536, 2720, 320, 4092, 1063, 519, 18287, 2033, 639, 543, 519, 18751, 2627, 540, 519, 31456, 25688, 269, 898, 4122, 4386, 538, 7681, 609, 27131, 12263, 267, 838, 1180, 2643, 23537, 6605, 987, 625, 267, 30456, 267, 543, 8194, 563, 3674, 577, 658, 536, 2720, 4345, 568, 6553, 540, 519, 861, 2617, 658, 536, 2720, 320, 4092, 1063, 1350, 1393, 639, 12366, 639, 4887, 543, 568, 577, 658, 16321, 13920, 563, 296, 2993, 641, 810, 553, 536, 2720, 4345, 568, 6553, 540, 513, 536, 2720, 320, 14084, 1063, 476, 8270, 641, 810, 553, 4887, 543, 12048, 4745, 267, 14694, 547, 3185, 7394, 8043, 269, 10266, 568, 4810, 936, 519, 1482, 1858, 543, 1500, 8338, 676, 10137, 540, 12048, 4745, 269, 0, 718, 28375, 910, 12791, 538, 19446, 454, 30547, 540, 782, 28375, 538, 19446, 454, 268, 519, 12136, 540, 519, 1482, 4484, 610, 3280, 693, 519, 4098, 540, 11105, 610, 5702, 4448, 1913, 269, 630, 7162, 484, 28637, 23547, 11695, 357, 7162, 363, 11111, 7162, 357, 18028, 499, 2633, 509, 29334, 17775, 7162, 506, 27758, 2633, 350, 2633, 376, 17775, 7162, 370, 2633, 361, 11695, 355, 26498, 23517, 21999, 21005, 7162, 370, 27758, 18892, 27758, 2633, 484, 23371, 7162, 362, 17775, 23517, 7162, 493, 24691, 32172, 21005, 7162, 483, 24691, 11695, 371, 18892, 7162, 363, 11111, 7162, 356, 11695, 369, 23547, 16284, 21999, 21005, 7162, 502, 2633, 509, 23547, 11111, 5936, 353, 12467, 268, 4173, 26227, 4971, 540, 22565, 267, 11281, 267, 17279, 267, 543, 782, 28375, 593, 2048, 305, 12976, 14576, 685, 30347, 2757, 12563, 27825, 269, 630, 21999, 2633, 369, 18028, 353, 11111, 267, 7162, 362, 21005, 2633, 509, 18892, 267, 7162, 359, 27758, 23547, 18892, 14098, 369, 5936, 481, 23371, 11695, 353, 16284, 267, 7162, 498, 18892, 19962, 7162, 364, 26498, 2633, 485, 23517, 2633, 501, 29334, 5936, 487, 23547, 11695, 501, 11313, 24691, 17775, 7162, 359, 31073, 23371, 18028, 355, 11695, 369, 23517, 2633, 355, 11695, 369, 18028, 363, 26498, 23517, 21999, 17775, 7162, 359, 14098, 364, 23517, 2633, 359, 18892, 18028, 499, 29334, 23517, 2633, 501, 21005, 23371, 21999, 11695, 366, 14098, 372, 18028, 499, 11695, 372, 7162, 359, 18892, 7162, 487, 28637, 24691, 21005, 7162, 504, 27758, 28637, 11695, 353, 21999, 28440, 14098, 357, 5936, 353, 12467, 268, 19549, 569, 267, 972, 568, 513, 11029, 267, 855, 3532, 782, 28375, 538, 519, 8772, 1899, 540, 519, 2034, 588, 23393, 267, 2048, 8649, 573, 560, 606, 5836, 2407, 540, 10760, 24991, 9957, 630, 7162, 504, 5936, 490, 2633, 354, 21005, 7162, 361, 14098, 353, 267, 7162, 355, 5936, 480, 28637, 18892, 21005, 7162, 361, 14098, 364, 21999, 21005, 7162, 504, 5936, 490, 2633, 354, 21005, 7162, 359, 23517, 24691, 11695, 353, 16284, 7162, 362, 17775, 23517, 7162, 493, 24691, 29334, 5936, 480, 24691, 11695, 371, 11695, 362, 267, 7162, 366, 17775, 24691, 18028, 357, 7162, 370, 24691, 11695, 353, 18028, 370, 14098, 366, 21005, 7162, 501, 2633, 510, 2633, 506, 26498, 2633, 350, 2633, 376, 32172, 5936, 486, 267, 1412, 2633, 487, 2633, 350, 2633, 376, 23371, 21005, 7162, 362, 2633, 505, 2633, 366, 18028, 363, 26498, 23517, 29334, 17775, 7162, 511, 18892, 11111, 7162, 493, 24691, 7162, 362, 2633, 373, 14098, 372, 14098, 501, 18892, 262, 5936, 353, 12467, 268, 12465 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2582, 476, 1428, 288, 5547, 543, 1869, 581, 3009, 24255, 563, 4692, 594, 5372, 513, 476, 1428, 18041, 30517, 609, 513, 476, 736, 18041, 30517, 888, 763, 2626, 281, 898, 779, 2009, 267, 855, 711, 19624, 1510, 606, 3167, 1014, 10442, 519, 3510, 269, 1411, 1058, 2760, 1175, 22010, 689, 513, 476, 1428, 268, 2086, 30517, 547, 513, 476, 736, 268, 2086, 835, 1175, 1317, 519, 1699, 835, 568, 2468, 6137, 269, 19227, 267, 596, 949, 6633, 707, 2777, 1524, 3842, 5122, 3595, 269, 0, 5472, 621, 3568, 568, 707, 2063, 2012, 543, 519, 2985, 1297, 269, 596, 1152, 991, 547, 1331, 519, 1018, 568, 513, 2110, 1557, 3898, 2278, 779, 2063, 2012, 543, 519, 2985, 1297, 540, 519, 1257, 538, 23049, 269, 3388, 596, 13712, 606, 1557, 991, 547, 917, 543, 811, 269, 949, 476, 866, 267, 476, 1001, 280, 5788, 519, 4808, 585, 19696, 606, 1557, 538, 15986, 3898, 616, 2147, 547, 1346, 585, 19696, 513, 3184, 538, 513, 15986, 1557, 11239, 3898, 1433, 269, 950, 1966, 6061, 1565, 1603, 606, 875, 547, 2328, 606, 12819, 4484, 15986, 3898, 1557, 610, 15986, 1557, 11239, 3898, 824, 1957, 267, 1053, 616, 2838, 547, 1246, 1808, 2511, 4170, 15986, 1557, 3898, 15986, 11249, 2511, 4214, 269, 3332, 2689, 5098, 1383, 3388, 596, 991, 547, 917, 4876, 6859, 1557, 543, 811, 269, 519, 1079, 30856, 2959, 585, 875, 547, 8415, 543, 13712, 538, 15986, 5265, 616, 15986, 25156, 585, 5830, 540, 1382, 4574, 630, 476, 277, 628, 1196, 4700, 26612, 713, 568, 519, 2698, 10189, 950, 621, 2501, 547, 15986, 1382, 11556, 538, 8808, 3898, 269, 538, 17856, 14327, 543, 15986, 1557, 11239, 3898, 1568, 11855, 269, 476, 276, 270, 276, 4358, 707, 1378, 2680, 4058, 1870, 2565, 3206, 543, 5876, 630, 272, 264, 15986, 3898, 11239, 15545, 0, 288, 1032, 593, 281, 8241, 23967, 21987, 454, 10387, 2742, 23846, 3217, 513, 2673, 1413, 693, 875, 519, 8241, 23967, 602, 3576, 1747, 2063, 1032, 723, 4299, 9265, 454, 4407, 513, 1032, 3516, 538, 519, 5177, 649, 2879, 10212, 1194, 909, 1472, 938, 3595, 17541, 543, 3141, 330, 883, 519, 865, 17304, 547, 4585, 8285, 2027, 338, 267, 593, 519, 824, 2427, 540, 519, 8608, 7366, 540, 23967, 986, 3022, 2066, 5245, 267, 1085, 18732, 922, 7320, 563, 8310, 1032, 2594, 31771, 5210, 543, 4049, 10980, 2175, 8034, 8215, 513, 3126, 540, 7372, 17382, 18394, 2066, 5245, 269, 3767, 267, 513, 1032, 1310, 519, 2063, 3595, 729, 24773, 1639, 267, 519, 1764, 593, 9265, 568, 4742, 20406, 811, 7805, 269, 1306, 1082, 607, 1614, 5479, 1367, 11864, 267, 5017, 267, 20641, 543, 20883, 5747, 610, 941, 19774, 1282, 519, 11642, 269, 2859, 982, 476, 736, 2600, 540, 5245, 779, 3003, 4104, 3382, 729, 23542, 1639, 676, 519, 11642, 2687, 547, 513, 476, 1708, 271, 2079, 538, 7186, 8693, 7827, 269, 3683, 476, 4335, 2249, 949, 1631, 581, 13155, 610, 1256, 17255, 1813, 547, 891, 2067, 12469, 269, 4634, 538, 519, 2680, 602, 519, 2371, 543, 2831, 15068, 519, 10969, 566, 540, 519, 11642, 267, 741, 9249, 949, 723, 22734, 1689, 547, 971, 606, 6708, 602, 741, 6668, 568, 2322, 693, 1981, 563, 7021, 476, 4335, 2249, 949, 1631, 581, 13155, 610, 1256, 17255, 1813, 547, 891, 2067, 12469, 563, 763, 8241, 2229, 13166, 17019, 519, 14486, 540, 476, 1724, 21049, 2249, 2094, 3864, 19525, 267, 1519, 1079, 2249, 4503, 538, 519, 2063, 8717, 269, 634, 8242, 1592, 1797, 602, 4557, 2600, 540, 2244, 11864, 1634, 547, 723, 5030, 538, 5245, 2094, 476, 9965, 279, 616, 1631, 17255, 269, 1452, 23937, 723, 19876, 5245, 883, 519, 9265, 3905, 10160, 607, 519, 1158, 779, 3854, 585, 25850, 14486, 267, 835, 5198, 596, 798, 711, 1616, 547, 3094, 2336, 763, 32748, 8403, 267, 1373, 513, 10178, 19463, 267, 814, 1831, 513, 17122, 1448, 585, 3486, 6161, 269, 589, 1867, 689, 519, 13431, 293, 5245, 11943, 602, 5111, 476, 2568, 267, 1822, 540, 513, 2551, 540, 10199, 476, 20065, 267, 1822, 32748, 531, 553, 941, 7166, 538, 519, 11642, 269, 1733, 12241, 972, 568, 1100, 27102, 602, 891, 11537, 2831, 723, 11124, 30140, 267, 519, 6574, 1764, 568, 4397, 547, 581, 1336, 538, 824, 2249, 602, 1491, 513, 1394, 572, 520, 538, 519, 2923, 267, 971, 607, 29068, 543, 2371, 563, 288, 1867, 689, 519, 13431, 293, 5245, 11943, 602, 5111, 476, 2568, 267, 1822, 540, 513, 2551, 540, 10199, 476, 20065, 267, 1822, 32748, 531, 553, 941, 7166, 538, 519, 11642, 563, 21938, 4718, 811, 982, 476, 1911, 27563, 10442, 519, 1840, 540, 476, 23056, 8241, 29068, 547, 519, 4139, 5742, 585, 519, 11094, 540, 7186, 779, 4414, 5903, 269, 1358, 11943, 476, 3066, 2249, 538, 1715, 3162, 12986, 1185, 741, 3003, 3110, 3386, 2039, 14616, 543, 1776, 476, 5379, 4503, 693, 2547, 3368, 540, 741, 1634, 9249, 547, 519, 11642, 563, 2005, 568, 711, 1175, 519, 26428, 2933, 602, 616, 5906, 547, 5245, 779, 18508, 543, 21426, 267, 519, 18534, 9464, 1604, 1739, 519, 11642, 2488, 3606, 17613, 269, 8693, 1689, 814, 2799, 519, 4908, 543, 8515, 540, 891, 11642, 267, 2495, 602, 1256, 519, 2249, 602, 7048, 593, 3595, 971, 607, 552, 32023, 4054, 616, 693, 1981, 540, 1373, 4503, 689, 519, 5117, 563, 2005, 779, 711, 782, 798, 558, 543, 1350, 7112, 1498, 282, 972, 616, 1869, 1350, 9404, 619, 540, 4126, 256, 8241, 18508, 568, 26526, 14388, 543, 3173, 538, 519, 2361, 616, 4466, 20344, 538, 6397, 4025, 269, 2290, 1383, 568, 519, 918, 30865, 5622, 6816, 546, 18365, 11301, 799, 723, 535, 1563, 1454, 1732, 982, 824, 2831, 267, 17729, 593, 8254, 20637, 2066, 519, 6532, 563, 4322, 2621, 1397, 519, 23473, 609, 799, 2916, 1689, 2115, 547, 581, 9619, 267, 798, 649, 2731, 1616, 547, 581, 3743, 585, 519, 14486, 540, 938, 3529, 3620, 19982, 2828, 519, 32748, 531, 553, 286, 0, 2704, 828, 3279, 2657, 7896, 568, 22348, 1004, 602, 741, 1655, 4027, 1996, 4639, 20407, 568, 547, 2057, 1373, 3787, 1084, 676, 19498, 7357, 563, 2108, 5278, 19498, 4163, 4639, 20407, 3644, 2223, 589, 9391, 6481, 20229, 540, 2657, 3220, 269, 1744, 984, 327, 527, 3057, 583, 328, 1767, 11728, 269, 968, 4415, 4598, 547, 19498, 2501, 1981, 540, 4639, 20407, 3644, 3034, 4002, 11728, 267, 519, 1072, 8116, 6035, 930, 4388, 593, 31364, 3054, 689, 17486, 950, 596, 2461, 3544, 912, 268, 23203, 513, 1279, 1606, 23932, 1386, 267, 1769, 12258, 10696, 25099, 267, 27890, 543, 513, 11058, 454, 268, 2422, 606, 9516, 5521, 28084, 550, 630, 324, 3052, 269, 2472, 5627, 16692, 4953, 610, 594, 8364, 573, 514, 994, 268, 6333, 9363, 16280, 693, 21554, 543, 546, 23677, 950, 19498, 616, 1034, 3742, 454, 2108, 4322, 3268, 666, 1118, 621, 9875, 585, 19498, 547, 1265, 596, 2223, 3057, 583, 328, 1767, 563, 28490, 19498, 666, 1406, 1265, 596, 267, 789, 666, 1406, 11116, 596, 3034, 5475, 1373, 3787, 1084, 676, 513, 18151, 8876, 4639, 20407, 3644, 267, 3425, 666, 1020, 4639, 20407, 1875, 16250, 9951, 673, 6794, 610, 519, 811, 3978, 4639, 20407, 14715, 6794, 563, 21618, 540, 519, 1875, 16250, 9951, 673, 6794, 666, 1331, 8611, 267, 669, 1571, 267, 15353, 267, 13481, 267, 9854, 267, 2960, 16420, 267, 22224, 15374, 543, 15677, 269, 12580, 540, 519, 14715, 6794, 666, 1331, 12152, 832, 267, 546, 4900, 1465, 267, 10539, 267, 24948, 2042, 267, 1164, 8611, 267, 17499, 1145, 267, 26900, 543, 1256, 2669, 563, 5804, 476, 1220, 274, 547, 476, 1001, 279, 267, 476, 276, 3953, 2665, 540, 4639, 20407, 3644, 941, 9672, 538, 22598, 267, 1082, 540, 799, 941, 9715, 538, 519, 11662, 543, 711, 2951, 5829, 269, 2986, 782, 540, 891, 2665, 267, 476, 3393, 279, 941, 1875, 16250, 9951, 673, 6794, 269, 0, 763, 7459, 543, 4093, 538, 519, 5571, 5046, 268, 866, 6855, 616, 3810, 9867, 269, 634, 2068, 543, 519, 7459, 1312, 20818, 3790, 543, 2800, 593, 2486, 269, 2368, 7459, 609, 3226, 1164, 3790, 949, 1152, 581, 8045, 13713, 269, 634, 1374, 540, 6099, 3609, 3340, 7156, 540, 1082, 6304, 7653, 269, 769, 713, 1957, 649, 8495, 519, 6099, 12557, 540, 7459, 602, 616, 711, 4264, 585, 513, 1279, 1974, 269, 13018, 267, 649, 1413, 693, 693, 519, 1764, 540, 513, 2582, 2110, 3856, 1875, 3146, 701, 730, 6304, 630, 320, 968, 821, 6879, 582, 6304, 14615, 593, 606, 15435, 543, 2015, 519, 1764, 540, 519, 6304, 779, 12557, 269, 1677, 7413, 519, 2698, 1297, 7783, 267, 519, 6304, 1058, 1376, 2673, 547, 519, 8445, 865, 602, 972, 568, 8766, 6450, 895, 2899, 519, 6304, 568, 11074, 269, 1677, 6922, 1047, 519, 8445, 9860, 267, 621, 1058, 1376, 4505, 267, 3056, 547, 3355, 5786, 543, 1287, 2348, 513, 6450, 895, 547, 519, 1482, 9860, 607, 519, 840, 17942, 3685, 8445, 2864, 982, 835, 1360, 1804, 8445, 269, 1677, 8488, 5563, 607, 1454, 607, 2009, 630, 553, 1522, 581, 3617, 952, 649, 2503, 4824, 7459, 610, 5574, 547, 581, 2919, 1070, 4505, 7459, 723, 2312, 4324, 269, 769, 5095, 609, 3982, 1016, 25364, 267, 15222, 1242, 7459, 616, 1447, 2500, 982, 13389, 519, 7459, 538, 1142, 1016, 10919, 640, 14384, 563, 5278, 7459, 799, 948, 1852, 513, 10825, 15435, 723, 1713, 8801, 2360, 593, 519, 2551, 267, 543, 3112, 581, 9738, 1279, 3856, 269, 634, 6099, 12557, 540, 971, 606, 6304, 786, 4096, 593, 519, 10700, 3804, 563, 268, 3955, 6761, 547, 8488, 519, 15435, 1247, 1007, 5574, 610, 7459, 616, 2919, 616, 1655, 8045, 607, 4166, 607, 2009, 563, 268, 3955, 6761, 547, 7413, 519, 8445, 9860, 616, 1655, 8045, 851, 3118, 998, 519, 2208, 5123, 3850, 12046, 547, 1628, 909, 865, 602, 519, 22638, 6450, 895, 568, 711, 3677, 982, 519, 3355, 8445, 563, 268, 3955, 6761, 547, 7413, 519, 2698, 1297, 540, 5563, 616, 1655, 8045, 3735, 538, 519, 2208, 5123, 547, 7413, 519, 2179, 540, 6450, 895, 563, 2690, 513, 2551, 609, 1016, 10919, 885, 799, 1131, 723, 607, 2106, 28942, 17061, 267, 2147, 2164, 3180, 269, 3958, 267, 649, 1265, 602, 621, 568, 1655, 547, 3077, 519, 6304, 607, 2106, 11388, 3585, 547, 1142, 1016, 10919, 640, 2864, 982, 15222, 3585, 2066, 519, 2551, 563, 290, 2787, 281, 4144, 700, 879, 549, 674, 267, 918, 1170, 594, 313, 267, 16019, 808, 290, 630, 1708, 272, 264, 8838, 2711, 12557, 540, 835, 6879, 582, 7459, 585, 15435, 1852, 269, 12813, 24382, 6156, 22776, 476, 1704, 263, 274, 2567, 552, 1911, 9262, 277, 274, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 15389, 272, 10768, 16067, 4877, 322, 6798, 269, 1911, 9262, 277, 274, 454, 29394, 281, 1530, 30807, 1014, 674, 6064, 267, 5507, 3427, 540, 30719, 1299, 23427, 6925, 267, 6167, 3951, 3633, 918, 5058, 291, 6865, 454, 3725, 18727, 281, 2904, 476, 2537, 267, 476, 1708, 271, 282, 20504, 539, 281, 5988, 476, 273, 267, 476, 1708, 272, 282, 15618, 281, 4728, 476, 1240, 267, 476, 1708, 272, 454, 15648, 281, 9736, 476, 1708, 272, 4144, 700, 879, 549, 1696, 620, 269, 901, 568, 606, 1930, 1569, 2376, 7856, 896, 519, 2474, 540, 519, 11300, 12780, 21922, 17821, 267, 799, 14998, 19727, 24071, 946, 267, 3892, 267, 543, 12093, 538, 1022, 5420, 267, 3177, 519, 3312, 2278, 543, 2707, 616, 20295, 563, 10574, 2997, 22355, 281, 2353, 1239, 2838, 547, 16196, 519, 2164, 616, 3177, 538, 519, 12377, 269, 32492, 3009, 799, 786, 1685, 519, 4143, 13502, 666, 581, 1336, 693, 4179, 2517, 326, 603, 889, 2593, 22077, 323, 331, 2735, 280, 20081, 574, 532, 1993, 3080, 4537, 582, 11328, 6761, 563, 293, 27448, 281, 594, 313, 298, 543, 674, 291, 11760, 1489, 689, 519, 22676, 327, 592, 1889, 11565, 4179, 2517, 4178, 269, 548, 591, 327, 592, 1889, 28482, 16896, 270, 585, 519, 3194, 5741, 16827, 681, 22333, 268, 1001, 278, 268, 24907, 269, 808, 13967, 26342, 23492, 7616, 689, 5487, 18858, 2041, 2160, 4179, 2517, 4178, 7456, 520, 549, 2041, 12975, 28898, 28918, 634, 2508, 619, 1185, 1100, 1909, 538, 1353, 1374, 267, 1239, 4015, 543, 2079, 267, 3375, 547, 15476, 267, 610, 7041, 540, 519, 12377, 563, 4467, 7065, 532, 4690, 281, 634, 4589, 723, 10294, 602, 1100, 12721, 4690, 2291, 563, 763, 14118, 27833, 6855, 540, 476, 4489, 279, 729, 835, 540, 519, 4666, 31586, 8623, 12515, 540, 11763, 2068, 519, 1158, 814, 2479, 2938, 269, 769, 3210, 267, 1082, 4872, 5189, 7839, 7459, 5497, 547, 2569, 519, 3262, 269, 1703, 568, 2963, 476, 602, 930, 4872 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1650, 594, 1810, 1406, 1616, 547, 723, 547, 4584, 909, 513, 17120, 610, 6552, 547, 2824, 1018, 779, 2469, 547, 4755, 1985, 269, 5272, 942, 519, 5304, 568, 2016, 519, 4781, 547, 1491, 513, 1007, 2619, 12462, 12304, 713, 7735, 5608, 968, 341, 1774, 593, 2473, 267, 962, 267, 2098, 14615, 519, 2239, 1765, 543, 21599, 1369, 602, 2239, 28934, 17303, 10300, 1540, 267, 543, 621, 3217, 519, 2247, 513, 1247, 547, 1205, 1394, 883, 713, 1533, 540, 21599, 563, 3725, 5562, 1543, 814, 519, 1761, 547, 8207, 891, 2152, 676, 7175, 12809, 2170, 2032, 20196, 568, 267, 3403, 543, 3977, 1510, 2348, 547, 23249, 543, 8362, 1118, 3664, 610, 4497, 609, 519, 8800, 269, 901, 786, 1267, 538, 11651, 3101, 267, 6422, 6386, 602, 786, 11200, 16900, 1247, 1373, 8200, 593, 543, 2189, 547, 519, 1808, 3593, 543, 741, 4664, 269, 10426, 633, 2170, 2032, 786, 849, 4894, 519, 3014, 1745, 602, 666, 1419, 581, 513, 10835, 540, 7317, 2833, 543, 2322, 513, 21951, 12341, 538, 519, 1647, 281, 1869, 16119, 1671, 935, 1027, 538, 606, 7317, 6422, 2239, 267, 855, 538, 513, 1454, 5705, 2401, 1259, 563, 4407, 2542, 519, 9253, 7534, 7097, 594, 729, 3226, 13351, 676, 513, 6429, 538, 799, 519, 3197, 1376, 547, 4497, 609, 519, 3593, 543, 972, 779, 513, 5348, 577, 3055, 640, 1063, 519, 3593, 779, 26470, 543, 3615, 538, 519, 5691, 1158, 269, 1306, 519, 2239, 7938, 785, 338, 543, 519, 1913, 540, 9253, 7534, 779, 1915, 1205, 811, 7096, 267, 2694, 540, 519, 5251, 267, 799, 8604, 547, 581, 1166, 4770, 543, 24421, 908, 693, 4351, 267, 2097, 1927, 543, 1376, 547, 17932, 519, 3593, 779, 26470, 563, 1103, 476, 1001, 274, 267, 13191, 1306, 335, 749, 540, 4911, 20377, 15570, 7219, 2160, 630, 20084, 264, 543, 700, 4157, 553, 1261, 11770, 5341, 540, 519, 18230, 8549, 4659, 540, 5303, 9863, 602, 513, 3593, 779, 2631, 540, 4527, 543, 8446, 609, 513, 5691, 1285, 20345, 1223, 581, 13497, 2799, 676, 5348, 1424, 519, 593, 1606, 10547, 1915, 609, 519, 26470, 540, 519, 3593, 269, 634, 2078, 1063, 6915, 1673, 580, 1388, 5348, 577, 3055, 640, 267, 21599, 267, 543, 3929, 6278, 568, 1945, 602, 786, 15983, 723, 12316, 2239, 543, 9423, 1761, 563, 15862, 15894, 281, 570, 603, 328, 13198, 611, 628, 784, 1315, 1744, 13616, 18450, 2593, 15566, 2542, 0, 13233, 1143, 568, 513, 2178, 2631, 540, 11348, 585, 835, 781, 2197, 269, 1452, 4606, 666, 581, 4547, 2390, 998, 513, 21318, 540, 1919, 269, 10801, 1686, 267, 28929, 5322, 723, 13175, 538, 1114, 2477, 782, 1472, 519, 1158, 269, 1358, 6913, 796, 2305, 267, 7115, 267, 543, 811, 11348, 269, 4014, 972, 941, 1082, 28929, 5322, 267, 1142, 540, 519, 2164, 28209, 563, 30051, 568, 1419, 9763, 607, 513, 1360, 3084, 2065, 2197, 269, 3509, 27272, 1004, 723, 1185, 11348, 585, 519, 2197, 602, 789, 1289, 1753, 269, 769, 519, 2038, 476, 5197, 271, 781, 972, 729, 1100, 3020, 834, 30051, 2668, 898, 729, 2965, 513, 4015, 540, 1507, 796, 10595, 1243, 2829, 602, 782, 12038, 4436, 267, 855, 941, 711, 513, 19618, 2197, 269, 4436, 18541, 17275, 950, 19167, 986, 3660, 3267, 1613, 1647, 540, 519, 3561, 2483, 3891, 1705, 1945, 602, 568, 1631, 1634, 607, 519, 834, 292, 916, 2598, 335, 2255, 2668, 645, 1143, 1046, 4957, 513, 751, 5586, 1090, 547, 10845, 5333, 676, 29780, 1202, 6699, 827, 519, 3943, 19264, 26513, 269, 4595, 519, 6165, 952, 18259, 729, 3810, 1825, 15344, 1282, 519, 942, 267, 1010, 7301, 751, 5586, 1090, 6368, 2322, 5333, 543, 2398, 17892, 547, 2112, 269, 2398, 17892, 1185, 513, 2656, 11802, 267, 543, 609, 713, 11802, 3357, 513, 4743, 540, 11348, 269, 645, 1143, 1046, 2919, 513, 1079, 2777, 23328, 269, 634, 5580, 2777, 729, 12912, 676, 9038, 540, 4436, 2829, 267, 543, 519, 2539, 2777, 3769, 782, 5256, 17037, 269, 634, 27272, 2829, 8087, 896, 918, 9820, 518, 5261, 594, 269, 2060, 713, 1007, 10504, 267, 5125, 2968, 513, 3056, 1909, 538, 519, 1272, 540, 2342, 1282, 519, 942, 269, 645, 1143, 1046, 543, 918, 9820, 518, 5261, 594, 6417, 519, 4436, 25415, 1927, 267, 6038, 30364, 713, 9241, 8087, 5125, 563, 30051, 2968, 513, 3056, 1379, 538, 2342, 585, 1082, 4128, 269, 2290, 540, 799, 1373, 602, 5125, 568, 2407, 540, 2067, 2200, 602, 519, 1158, 729, 3168, 585, 2094, 519, 11633, 7169, 269, 11635, 543, 15021, 941, 835, 540, 5125, 781, 1292, 18666, 799, 4547, 538, 513, 2603, 540, 5763, 547, 519, 2197, 269, 9521, 519, 824, 2477, 538, 2342, 971, 607, 4789, 543, 5333, 267, 5125, 1185, 513, 1360, 6131, 267, 5676, 1441, 543, 13473, 13781, 269, 5125, 5059, 593, 2069, 811, 982, 824, 2477, 267, 799, 6157, 28322, 5125, 538, 513, 2318, 1259, 269, 2060, 713, 2069, 267, 1732, 7189, 267, 3610, 267, 543, 14761, 3357, 856, 540, 5125, 269, 1677, 1118, 15327, 1732, 267, 3744, 5249, 1318, 538, 873, 547, 4137, 856, 875, 547, 1118, 873, 585, 3608, 269, 5125, 849, 2968, 513, 3056, 1379, 1317, 519, 2229, 729, 1360, 11215, 540, 519, 3527, 602, 27272, 1004, 941, 2921, 547, 2087, 519, 4567, 540, 519, 2197, 269, 19881, 10781, 540, 519, 5094, 2829, 941, 782, 4547, 1927, 547, 1118, 5125, 1256, 6793, 563, 2414, 1832, 5333, 4617, 267, 645, 1143, 1046, 1500, 16167, 609, 15231, 2477, 267, 15212, 543, 6576, 269, 1677, 1832, 1010, 10504, 2178, 267, 645, 1143, 1046, 1705, 711, 1450, 1022, 11685, 547, 1010, 3069, 540, 1483, 335, 7035, 1731, 799, 568, 1946, 646, 6098, 519, 23597, 269, 1261, 21787, 602, 1004, 540, 519, 7826, 5132, 1131, 581, 811, 10121, 547, 519, 28831, 982, 547, 645, 1143, 1046, 269, 1261, 1500, 4031, 12145, 3909, 3310, 855, 6038, 20483, 1524, 1317, 1004, 3323, 547, 2427, 609, 519, 5939, 269, 769, 25380, 1524, 267, 645, 1143, 1046, 6591, 1082, 811, 13794, 799, 729, 513, 1267, 540, 519, 3084, 2065, 3350, 563, 30051, 568, 711, 519, 1152, 2197, 602, 28322, 689, 18541, 269, 27425, 568, 2943, 1776, 2197, 602, 4957, 922, 4182, 609, 4606, 540, 11348, 269, 1703, 941, 1082, 3123, 602, 3366, 547, 513, 20951, 1014, 4838, 269, 20951, 1014, 1004, 941, 6854, 4057, 676, 519, 5053, 269, 634, 5824, 1977, 1004, 941, 13856, 676, 519, 5053, 2094, 519, 5736, 540, 519, 9518, 626, 611, 832, 269, 4746, 267, 519, 2037, 1260, 328, 12629, 1062, 3177, 606, 15490, 1514, 1362, 1062, 2919, 676, 519, 5053, 563, 4002, 519, 1283, 540, 519, 1514, 21117, 941, 519, 18686, 637, 269, 1452, 941, 1004, 945, 941, 4535, 538, 8050, 543, 13856, 1034, 540, 519, 1379, 538, 5824, 3013, 269, 8921, 3357, 519, 11511, 3421, 269, 11511, 3421, 941, 1004, 945, 941, 4535, 538, 5824, 3013, 547, 5053, 3237, 269, 9603, 547, 519, 1249, 602, 789, 941, 4535, 538, 5824, 1862, 0, 11403, 312, 570, 312, 14154, 13138, 23177, 19489, 300, 2207, 454, 291, 787, 1826, 22155, 568, 513, 11979, 3926, 799, 3085, 1406, 946, 3282, 607, 513, 3579, 656, 5420, 2864, 2842, 902, 616, 6854, 538, 3339, 2011, 538, 519, 26456, 269, 7046, 902, 616, 2016, 538, 519, 26456, 799, 2636, 2011, 547, 1780, 1498, 621, 799, 3579, 338, 519, 22155, 563, 6097, 547, 519, 1374, 540, 23090, 267, 972, 616, 1079, 2010, 540, 16959, 7392, 17992, 518, 1107, 513, 264, 10011, 18300, 1826, 630, 10135, 307, 264, 3819, 22155, 267, 536, 264, 28820, 10840, 2604, 791, 27389, 730, 630, 309, 18444, 264, 1826, 3819, 22155, 563, 288, 3819, 1826, 22155, 2874, 540, 1739, 2694, 1107, 290, 648, 267, 23090, 267, 10226, 23525, 267, 700, 307, 23525, 267, 21512, 17762, 267, 22153, 2718, 4216, 267, 8752, 940, 1488, 6135, 619, 3092, 563, 268, 11759, 1107, 763, 1292, 3252, 540, 4295, 568, 513, 264, 547, 1683, 13441, 3095, 720, 1063, 3119, 1299, 6281, 2842, 902, 1299, 536, 264, 1683, 1489, 547, 519, 2842, 902, 269, 6489, 902, 616, 15841, 593, 519, 4295, 269, 12729, 1299, 6281, 2842, 902, 616, 711, 30788, 4448, 855, 789, 616, 4448, 11275, 1227, 269, 11759, 568, 1500, 909, 10911, 294, 5308, 630, 290, 1245, 17029, 1194, 717, 1778, 18112, 5034, 28541, 264, 5374, 799, 2488, 1970, 6419, 2619, 585, 3608, 13441, 3095, 720, 269, 634, 3193, 13441, 5860, 540, 10911, 294, 5308, 5374, 568, 827, 476, 272, 269, 280, 23592, 563, 268, 6489, 902, 1107, 5565, 2842, 902, 616, 15841, 593, 519, 4295, 267, 519, 23090, 799, 568, 4448, 609, 3761, 4882, 1830, 568, 1572, 3119, 23090, 1299, 519, 824, 23090, 799, 568, 4448, 609, 4452, 568, 1572, 6281, 23090, 269, 4400, 610, 1970, 6453, 538, 6281, 23090, 5673, 593, 519, 1297, 540, 7140, 540, 23090, 593, 519, 4295, 269, 7089, 540, 7140, 811, 538, 6281, 23090, 1797, 1164, 6453, 538, 6281, 23090, 261, 341, 823, 17930, 563, 763, 1599, 540, 3119, 23090, 568, 547, 11275, 1125, 519, 4295, 543, 519, 1599, 540, 6281, 23090, 568, 547, 2333, 610, 6175, 519, 6453, 2687, 547, 3119, 6453, 563, 307, 4338, 8863, 20315, 5058, 1107, 24135, 4657, 568, 513, 1184, 676, 799, 6453, 7939, 666, 581, 6913, 269, 7151, 1107, 1577, 721, 2161, 972, 568, 513, 3892, 22155, 476, 1556, 298, 309, 270, 275, 3451, 309, 269, 19243, 6453, 476, 275, 3451, 309, 5673, 593, 519, 3403, 6453, 476, 1556, 298, 309, 269, 1809, 3403, 6453, 666, 2760, 581, 513, 6378, 6453, 267, 621, 949, 581, 2901, 5594, 2362, 610, 2539, 269, 1924, 1813, 547, 8390, 538, 3403, 6453, 267, 3977, 14179, 5653, 849, 9775, 269, 1306, 8390, 538, 3977, 6453, 568, 711, 11807, 585, 519, 3106, 540, 519, 3937, 607, 16491, 906, 616, 2966, 585, 513, 1880, 6453, 269, 1924, 267, 538, 1931, 547, 3035, 3586, 3977, 6453, 267, 7148, 1680, 518, 4249, 607, 1271, 1909, 269, 11374, 5468, 616, 972, 540, 7148, 4657, 547, 1205, 3586, 3977, 269, 24135, 4657, 11460, 568, 2016, 538, 10226, 23090, 269, 24135, 4657, 1058, 581, 2944, 950, 22155, 568, 4625, 1055, 1299, 26809, 563, 263, 9616, 1700, 24135, 4657, 11460, 9775, 609, 519, 10672, 267, 865, 2141, 3277, 22155, 779, 9755, 7148, 3095, 5750, 1354, 4657, 621, 269, 15873, 2016, 2630, 568, 835, 540, 519, 10672, 779, 7148, 3095, 6516, 8094, 12487, 1299, 700, 307, 570, 2207, 300, 2562, 28940, 1107, 4322, 616, 519, 6753, 1141, 10226, 630, 514, 5765, 264, 10814, 1299, 700, 307, 630, 719, 4707, 264, 15791, 616, 4448, 609, 22155, 630, 514, 2013, 540, 1900, 1524, 22155, 1916, 20670, 17762, 630, 4910, 2700, 18323, 23618, 832, 264, 1107, 21512, 17762, 616, 519, 4187, 799, 616, 1031, 547, 3713, 519, 2837, 540, 519, 2842, 902, 269, 21512, 17762, 960, 593, 519, 6240, 602, 4187, 540, 5911, 9775, 609, 8390, 538, 2837, 269, 21512, 17762, 616, 17332, 538, 519, 9240, 913, 540, 1142, 23090, 269, 21512, 17762, 616, 4448, 609, 22153, 2718, 4216, 1315, 7758, 599, 4216, 269, 901, 20794, 4216, 10525, 519, 2837, 540, 519, 2842, 902, 269, 634, 1570, 1031, 585, 21512, 17762, 616, 19162, 601, 267, 21019, 267, 31091, 3092, 563, 300, 12678, 295, 3201, 5058, 21398, 311, 270, 3918, 6369, 312, 21398, 311, 14727, 2177, 307, 4629, 17247, 2207, 1700, 898, 779, 513, 1852, 8470, 799, 568, 8704, 593, 519, 1560, 540, 519, 22155, 269, 634, 3252, 540, 17120, 568, 547, 24121, 268, 8058, 519, 23090, 2837, 540, 681, 267, 312, 267, 645, 5123, 2676, 268, 7827, 4159, 3432, 540, 23090, 5210, 2676, 268, 898, 666, 581, 23553, 547, 2285, 10178, 1852, 267, 15372, 1299, 7552, 5365, 2676, 268, 22647, 16315, 540, 2837, 666, 581, 3177, 269, 3092, 454, 263, 9616, 1107, 5071, 540, 17120, 5673, 540, 5663, 2754, 865, 1354, 3257, 1022, 960, 24963, 3277, 9757, 5478, 779, 4808, 4700, 0, 5278, 6343, 4505, 267, 538, 10120, 3624, 267, 7784, 335, 32535, 1185, 1044, 11827, 267, 543, 729, 5051, 1031, 676, 519, 4108, 538, 8396, 269, 634, 946, 540, 7784, 335, 32535, 538, 519, 2038, 642, 848, 6438, 6180, 1513, 538, 2342, 267, 543, 4359, 8747, 540, 519, 1279, 6367, 543, 3444, 6367, 267, 799, 782, 1185, 6186, 712, 1790, 1512, 1424, 15561, 21650, 267, 602, 2322, 606, 1439, 547, 519, 17282, 540, 519, 6186, 10696, 27585, 269, 2991, 519, 1279, 6367, 267, 799, 2838, 1390, 5578, 543, 4222, 547, 946, 267, 519, 1985, 1034, 1713, 6639, 4434, 729, 519, 1660, 8208, 267, 799, 1223, 581, 1031, 3927, 267, 609, 2370, 2866, 269, 769, 942, 267, 519, 1967, 832, 547, 1660, 22806, 543, 666, 12061, 267, 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 ]
[ 657, 267, 945, 729, 693, 1101, 17512, 1881, 2507, 543, 519, 2370, 12475, 18857, 267, 774, 571, 7288, 25257, 519, 7008, 779, 13753, 2059, 519, 5607, 19724, 1396, 339, 7394, 630, 514, 1880, 519, 23795, 6587, 10910, 3941, 264, 5828, 856, 9425, 4829, 995, 267, 543, 930, 540, 31187, 779, 2048, 22772, 338, 685, 689, 713, 16939, 616, 1631, 538, 5507, 630, 5408, 2630, 1040, 1261, 13713, 5206, 909, 1010, 8906, 540, 3504, 700, 800, 2742, 267, 10370, 323, 2801, 267, 543, 3733, 571, 585, 519, 4750, 540, 18774, 21329, 5525, 630, 14157, 269, 476, 280, 267, 476, 6642, 279, 1107, 855, 513, 3259, 1512, 2272, 729, 3177, 676, 661, 11482, 269, 670, 6506, 630, 14157, 269, 476, 1015, 267, 476, 6642, 280, 24270, 1519, 13973, 687, 540, 936, 17288, 1202, 18587, 543, 15102, 540, 1257, 689, 31187, 779, 1378, 31940, 563, 5591, 8969, 1010, 31940, 941, 547, 2097, 538, 13561, 950, 267, 513, 1906, 1296, 2663, 267, 28564, 568, 11049, 1010, 1134, 8153, 4528, 540, 7338, 667, 718, 600, 779, 19701, 585, 519, 670, 752, 1663, 12682, 5980, 630, 6245, 274, 1070, 22281, 532, 519, 8545, 779, 9035, 538, 891, 1482, 7297, 281, 2048, 763, 476, 2537, 6113, 1496, 18907, 267, 476, 14689, 280, 316, 649, 2161, 1194, 676, 16836, 14986, 324, 267, 799, 568, 538, 1396, 548, 5607, 10200, 630, 18823, 1211, 958, 267, 7574, 2987, 11584, 618, 20536, 667, 718, 600, 779, 717, 1638, 1853, 6438, 7518, 1080, 2630, 519, 17254, 4842, 6821, 540, 10910, 3941, 267, 711, 865, 1360, 2484, 2476, 5087, 880, 267, 616, 3810, 5227, 8094, 3719, 1394, 547, 519, 645, 757, 267, 513, 2442, 2272, 540, 519, 741, 476, 2004, 6377, 23593, 538, 476, 6642, 279, 1107, 1134, 4502, 513, 1224, 585, 1346, 945, 1205, 1055, 593, 519, 27726, 23795, 689, 6641, 328, 547, 918, 770, 749, 528, 714, 334, 1107, 729, 2854, 676, 31187, 585, 634, 12397, 24824, 18225, 267, 630, 14157, 269, 476, 6812, 630, 1556, 1070, 476, 30663, 268, 3374, 1070, 543, 13886, 2048, 288, 623, 597, 520, 673, 674, 2529, 6993, 269, 8072, 630, 289, 550, 1185, 5063, 1044, 1500, 513, 29533, 540, 519, 5980, 540, 4165, 1172, 2456, 540, 5507, 267, 543, 729, 18656, 3101, 538, 17847, 995, 13398, 5142, 8094, 263, 2690, 519, 1964, 540, 28564, 779, 4930, 593, 713, 9381, 803, 6387, 267, 1294, 519, 1032, 476, 6642, 279, 538, 1010, 15853, 8094, 5475, 1585, 9035, 267, 519, 645, 757, 6603, 519, 918, 770, 749, 528, 714, 334, 1055, 532, 593, 476, 1789, 628, 4728, 476, 6642, 279, 269, 31187, 5036, 519, 6429, 281, 968, 15124, 21339, 941, 1500, 585, 519, 12625, 540, 519, 2048, 23325, 26676, 685, 693, 519, 1101, 3540, 2213, 2823, 1352, 1185, 10272, 2094, 6028, 5204, 571, 269, 2290, 540, 519, 2048, 2692, 903, 8730, 621, 7902, 267, 6956, 4552, 24408, 1154, 267, 543, 22666, 11427, 269, 674, 2529, 6993, 10200, 338, 23805, 585, 602, 3483, 282, 581, 1841, 941, 695, 8491, 267, 543, 695, 698, 4445, 25437, 4389, 609, 8748, 4028, 640, 2507, 10011, 749, 528, 714, 334, 729, 519, 2823, 267, 543, 621, 568, 513, 2189, 19494, 540, 2413, 5259, 1496, 338, 545, 316, 13055, 267, 1373, 513, 30436, 17535, 4884, 267, 3710, 593, 513, 3046, 1066, 568, 2280, 1055, 519, 5045, 5032, 540, 5607, 19724, 267, 2484, 689, 1022, 824, 5259, 8998, 1107, 513, 4990, 540, 28870, 10300, 1154, 1747, 538, 519, 6329, 585, 8043, 799, 4123, 1063, 28641, 543, 2274, 2779, 710, 16788, 282, 621, 814, 513, 26672, 573, 3771, 13118, 267, 543, 568, 513, 4884, 540, 25501, 543, 26703, 4129, 3034, 295, 2788, 3206, 540, 1753, 267, 519, 645, 757, 616, 538, 991, 540, 930, 16681, 1957, 1740, 547, 2327, 741, 4203, 29792, 3976, 2484, 616, 6870, 689, 519, 533, 11538, 4064, 540, 1312, 5259, 543, 15349, 9821, 8387, 269, 631, 8475, 779, 2048, 2419, 1258, 1834, 685, 3947, 721, 513, 2370, 811, 267, 4098, 609, 513, 17250, 540, 741, 4566, 912, 2108, 5575, 547, 979, 547, 519, 6532, 540, 918, 770, 601, 528, 529, 334, 267, 1141, 972, 568, 513, 5259, 931, 592, 267, 543, 723, 513, 8915, 334, 1500, 602, 649, 3357, 689, 11894, 865, 602, 519, 16380, 949, 711, 5905, 938, 1919, 538, 5204, 571, 2507, 3767, 782, 729, 7041, 585, 713, 3540, 1242, 1747, 269, 31187, 21407, 5128, 602, 1010, 27897, 543, 17063, 941, 693, 1688, 269, 594, 8288, 856, 1250, 1655, 21853, 3122, 10359, 543, 3812, 2463, 762, 17309, 543, 10887, 2507, 1284, 2731, 1500, 513, 1360, 22619, 344, 5428, 950, 649, 6603, 938, 3804, 2507, 1284, 1185, 513, 9350, 22116, 269, 1323, 3328, 942, 689, 3733, 571, 547, 918, 770, 601, 528, 529, 334, 568, 476, 277, 3108, 282, 649, 3576, 827, 476, 2918, 269, 1284, 1705, 711, 2244, 538, 519, 2834, 3771, 13118, 269, 634, 23071, 1767, 2055, 1131, 581, 4280, 607, 547, 1946, 972, 941, 476, 1240, 1004, 538, 971, 513, 10935, 269, 1284, 15354, 827, 476, 279, 269, 898, 568, 513, 30436, 3168, 2370, 4884, 267, 5258, 676, 513, 1448, 593, 799, 4473, 519, 21219, 540, 513, 2699, 14500, 269, 634, 2012, 1058, 581, 10011, 601, 4592, 810, 267, 855, 1101, 519, 16380, 723, 1500, 621, 2048, 528, 810, 685, 543, 1287, 12758, 538, 606, 2048, 328, 9957, 634, 2637, 334, 3150, 610, 10469, 564, 2103, 1500, 621, 269, 29518, 11939, 21208, 6759, 5055, 657, 729, 30870, 16382, 646, 4682, 676, 2828, 269, 1261, 1705, 711, 3100, 14221, 547, 581, 20402, 1454, 267, 543, 2899, 950, 4280, 1141, 646, 1185, 2097, 689, 575, 2905, 12943, 267, 2048, 288, 17763, 547, 10652, 6210, 256, 685, 630, 5228, 519, 1930, 4262, 1040, 594, 729, 30590, 693, 713, 2626, 543, 865, 267, 950, 930, 2021, 267, 9361, 18343, 593, 7725, 267, 1572, 856, 267, 2048, 8702, 19109, 6319, 16224, 547, 799, 594, 12943, 267, 2048, 11039, 1558, 256, 685, 543, 1287, 4280, 267, 2048, 2691, 576, 723, 596, 30223, 3054, 286, 685, 2048, 288, 17763, 547, 10652, 6210, 256, 685, 594, 32127, 569, 14452, 543, 25626, 593, 5180, 513, 7944, 1141, 649, 1223, 14902, 267, 543, 945, 811, 982, 29518, 11939, 21208, 6759, 5055, 657, 2507, 7536, 2467, 568, 4986, 538, 631, 8475, 779, 19701, 547, 2303, 519, 7008, 1500, 1022, 4990, 540, 15805, 32751, 542, 1472, 519, 6532, 267, 711, 1256, 547, 519, 4583, 4544, 23572, 267, 799, 568, 513, 17847, 269, 5080, 29418, 267, 1932, 267, 31187, 2306, 1100, 2446, 540, 5310, 519, 1034, 11599, 2048, 338, 333, 777, 685, 593, 519, 6532, 267, 519, 10370, 857, 534, 4224, 24408, 19772, 630, 275, 628, 2540, 7460, 1070, 2189, 593, 5259, 3037, 563, 300, 2153, 12913, 267, 519, 1985, 649, 1451, 568, 602, 519, 5345, 13370, 626, 6319, 814, 6603, 519, 3504, 3135, 540, 4793, 4673, 593, 519, 22163, 281, 968, 312, 16518, 6640, 267, 6153, 11016, 1496, 18550, 476, 1789, 628, 3910, 649, 1185, 513, 1360, 9602, 22116, 554, 2416, 2507, 7536, 20751, 2395, 267, 31187, 543, 631, 8475, 786, 581, 16213, 1055, 585, 5204, 4592, 2899, 811, 267, 855, 267, 1310, 476, 2004, 2395, 538, 741, 1368, 2280, 267, 789, 723, 1185, 2614, 540, 1930, 7297, 543, 6430, 547, 2132, 547, 5507, 519, 1279, 1259, 267, 936, 1633, 267, 3842, 590, 3240, 337, 3534, 1107, 594, 30955, 1107, 2480, 583, 926, 1107, 1520, 6929, 963, 1107, 1773, 990, 15965, 1107, 594, 30955, 1107, 715, 823, 320, 1107, 594, 30955, 1107, 744, 12549, 320, 1107, 12670, 269, 2353, 513, 2484, 3956, 689, 2048, 322, 2753, 2213, 8730, 2274, 2779, 710, 918, 770, 749, 528, 714, 334, 2507, 543, 835, 13300, 540, 741, 9909, 563, 14071, 11074, 476, 273, 17334, 538, 12670, 693, 519, 6239, 23392, 5608, 11339, 631, 8475, 267, 968, 2171, 1185, 24964, 689, 14349, 3781, 547, 11728, 3781, 267, 519, 476, 1691, 628, 267, 543, 5176, 2141, 998, 7733, 269, 1284, 18084, 689, 4469, 5241, 543, 593, 13628, 1496, 1704, 628, 2904, 476, 6642, 279, 316, 649, 9108, 6603, 1753, 2507, 2353, 938, 27371, 6603, 4789, 4166, 1310, 267, 543, 1310, 7836, 930, 4374, 1934, 616, 24428, 538, 519, 3703, 7467, 1848, 630, 8072, 763, 13488, 20048, 2873, 540, 11427, 808, 269, 31187, 28564, 8730, 5292, 476, 272, 267, 10228, 267, 476, 1220, 277, 267, 533, 269, 476, 18605, 994, 8072, 2080, 685, 568, 519, 7008, 779, 5100, 4884, 5264, 2282, 3057, 1076, 5246, 267, 513, 5318, 4012, 335, 625, 685, 9566, 267, 609, 1169, 3349, 9008, 267, 1433, 13826, 543, 22277, 6029, 1055, 6204, 1597, 15077, 689, 476, 736, 1296, 540, 12599, 538, 17936, 267, 4000, 267, 543, 519, 8109, 11335, 267, 5310, 267, 1932, 267, 930, 2377, 549, 3187, 625, 543, 1804, 267, 10058, 2447, 1047, 16181, 630, 5228, 519, 2021, 631, 8475, 10004, 1540, 547, 593, 918, 770, 749, 528, 714, 334, 1070, 1175, 8452, 1394, 538, 11315, 267, 12566, 1835, 919, 267, 5063, 796, 2903, 539, 689, 519, 1232, 802, 540, 519, 5345, 13370, 626, 6319, 912, 10527, 2021, 1934, 782, 5957, 519, 10571, 540, 918, 770, 601, 528, 529, 334, 281, 1279, 2407, 25549, 10412, 5538, 338, 619, 267, 1287, 519, 25099, 3728, 2989, 1524, 519, 4395, 609, 2507, 1804, 5180, 8988, 11369, 956, 267, 543, 1287, 9310, 2021, 5957, 513, 575, 1144, 1793, 527, 909, 547, 519, 22765, 693, 519, 2427, 269, 634, 476, 273, 4395, 11353, 616, 1419, 13615, 1394, 607, 789, 1831, 6071, 12673, 269, 3973, 513, 29075, 609, 19492, 1407, 10678, 1657, 519, 23969, 543, 1360, 1279, 2914, 320, 13554, 267, 543, 1360, 1970, 568, 10138, 513, 10077, 325, 269, 634, 6690, 798, 711, 5957, 519, 575, 1144, 269, 1358, 723, 513, 905, 345, 593, 519, 2212, 543, 513, 2881, 3316, 5180, 621, 610, 711, 2507, 892, 630, 8072, 763, 13488, 20048, 2873, 540, 11427, 808, 269, 31187, 28564, 8730, 5292, 476, 272, 267, 10228, 267, 476, 1220, 277, 267, 533, 269, 476, 26727, 994, 1103, 519, 3377, 2899, 811, 267, 519, 9583, 10770, 18755, 1170, 6421, 540, 519, 2899, 268, 1597, 30514, 774, 657, 13648, 1299, 25860, 630, 663, 782, 865, 31916, 540, 3703, 2359, 585, 5756, 267, 2523, 538, 2474, 540, 6216, 19642, 264, 723, 2366, 519, 28564, 25201, 630, 17218, 4864, 476, 1001, 280, 264, 1394, 547, 631, 8475, 779, 1019, 2456, 585, 8100, 547, 519, 3134, 11345, 4663, 11346, 1107, 585, 519, 7008, 267, 899, 5215, 267, 9937, 540, 5215, 267, 540, 2951, 6840, 1700, 16941, 2390, 7338, 13648, 630, 5197, 279, 268, 6245, 273, 264, 585, 741, 17573, 715, 559, 5328, 14501, 538, 519, 476, 6642, 271, 338, 543, 2048, 3445, 338, 269, 634, 16724, 3459, 1010, 12266, 19150, 538, 476, 5908, 280, 563, 5278, 4282, 282, 3967, 24261, 267, 9039, 1732, 281, 968, 24171, 13648, 267, 519, 1433, 532, 804, 17064, 540, 519, 7276, 2507, 543, 2048, 548, 1511, 621, 547, 13648, 779, 685, 1185, 8854, 883, 519, 1893, 269, 13648, 779, 1185, 12303, 11827, 2413, 9235, 267, 543, 741, 6960, 30652, 690, 1415, 13646, 267, 609, 741, 627, 597, 2590, 11655, 543, 21567, 2995, 619, 685, 524, 1137, 267, 941, 21056, 540, 1169, 11440, 2749, 269, 1358, 4371, 519, 598, 20896, 585, 5665, 9252, 619, 593, 519, 5211, 20407, 281, 782, 519, 1259, 909, 547, 26512, 3244, 10964, 519, 8492, 540, 519, 5757, 941, 20651, 676, 13648, 779, 4096, 757, 2507, 685, 630, 8072, 303, 1314, 27429, 267, 634, 29725, 1314, 540, 606, 7276, 9957, 5507, 476, 1960, 279, 267, 2985, 476, 5038, 994, 763, 645, 757, 685, 1101, 4704, 547, 519, 6109, 568, 538, 2038, 476, 6642, 276, 269, 31187, 543, 631, 8475, 616, 1055, 547, 2263, 519, 267, 1287, 15349, 267, 667, 1712, 4754, 3150, 267, 855, 1904, 547, 1376, 609, 519, 9252, 518, 689, 3057, 572, 14792, 547, 28641, 267, 3842, 519, 18135, 1080, 540, 11619, 2088, 267, 543, 513, 5618, 1033, 712, 547, 5527, 269, 631, 8475, 1668, 625, 9887, 609, 1200, 19701, 912, 24685, 519, 10543, 540, 14349, 1496, 1704, 628, 5130, 476, 6642, 276, 316, 649, 4682, 856, 547, 1294, 853, 668, 2513, 328, 269, 1284, 1223, 27452, 10646, 519, 3595, 855, 950, 17500, 25626, 1970, 593, 519, 4262, 3297, 621, 519, 2898, 3109, 1106, 540, 519, 6532, 729, 3254, 269, 1284, 4682, 1360, 7444, 267, 627, 626, 1782, 998, 519, 18135, 1080, 540, 11619, 2088, 269, 1284, 11129, 547, 723, 1044, 538, 28641, 593, 13638, 855, 1152, 3893, 547, 519, 5551, 2823, 827, 476, 273, 522, 685, 22018, 593, 13723, 1496, 2641 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 519, 20448, 630, 637, 573, 783, 7060, 1916, 8489, 519, 20448, 543, 519, 2829, 2671, 7060, 267, 585, 1383, 267, 936, 21259, 267, 891, 616, 5219, 547, 607, 1412, 935, 9690, 7060, 262, 543, 538, 519, 2680, 540, 513, 4655, 1063, 20448, 543, 1533, 1876, 267, 20448, 1876, 7173, 5661, 563, 268, 634, 6465, 1393, 540, 31689, 476, 4350, 272, 630, 19808, 264, 19203, 2169, 2105, 519, 5106, 540, 519, 20616, 16572, 4406, 7190, 2920, 547, 20450, 540, 519, 5313, 12057, 563, 268, 6465, 1393, 540, 31689, 22685, 5406, 2920, 476, 3707, 273, 630, 290, 628, 264, 19203, 7806, 1881, 519, 6465, 1393, 540, 31689, 538, 476, 3707, 273, 24794, 8826, 547, 476, 274, 5181, 476, 4350, 280, 267, 4758, 5245, 2698, 1582, 3766, 17922, 563, 268, 634, 17658, 344, 7027, 630, 21918, 2787, 540, 2561, 324, 1023, 264, 2920, 476, 3422, 279, 630, 290, 628, 264, 19203, 1952, 324, 1023, 689, 519, 4400, 7040, 547, 519, 17658, 344, 7027, 593, 5313, 6927, 941, 27618, 563, 268, 634, 15875, 20450, 13335, 2920, 476, 3422, 280, 630, 10064, 310, 264, 19203, 516, 701, 4705, 13061, 5177, 29071, 1869, 538, 3196, 538, 1715, 3162, 12986, 563, 268, 634, 17658, 344, 7027, 630, 7343, 324, 1023, 689, 519, 4400, 7040, 264, 2920, 476, 3192, 276, 630, 290, 628, 264, 19203, 21966, 1639, 519, 1318, 547, 9029, 689, 519, 3557, 10966, 7040, 547, 519, 17658, 344, 7027, 563, 268, 634, 5245, 2920, 543, 519, 5245, 630, 26473, 652, 543, 3117, 550, 264, 2920, 476, 2735, 277, 630, 290, 628, 264, 19203, 5658, 539, 519, 12032, 540, 13338, 7115, 543, 1533, 3125, 269, 898, 4735, 4705, 519, 20616, 16572, 4406, 7190, 2920, 543, 694, 30099, 519, 3803, 6402, 609, 519, 2296, 3656, 1062, 676, 13373, 5109, 22587, 689, 1533, 10966, 30271, 547, 519, 17658, 344, 7027, 563, 1321, 9484, 9653, 540, 25024, 454, 268, 769, 631, 629, 334, 642, 269, 24368, 630, 5591, 269, 476, 273, 264, 630, 1960, 273, 264, 519, 4400, 7040, 17019, 602, 5245, 1185, 711, 1044, 31619, 14275, 3780, 543, 602, 1455, 1876, 2369, 2478, 513, 1106, 540, 5065, 2140, 547, 2244, 563, 268, 634, 7111, 7170, 2920, 476, 1960, 274, 630, 290, 628, 264, 18931, 519, 1292, 4681, 540, 519, 631, 629, 334, 3375, 543, 1305, 909, 513, 7111, 7170, 17650, 26915, 547, 3313, 2244, 6811, 269, 634, 2920, 1705, 711, 1118, 621, 2312, 2436, 29009, 682, 1162, 936, 2244, 24773, 1639, 5065, 2140, 563, 268, 769, 21701, 642, 269, 3557, 540, 1715, 3162, 12986, 630, 1960, 276, 264, 519, 4400, 7040, 4371, 602, 1004, 540, 16971, 16350, 941, 1641, 547, 8241, 7803, 1876, 563, 268, 769, 519, 22816, 2013, 630, 1960, 277, 264, 519, 4400, 7040, 4371, 602, 5065, 2140, 543, 29009, 682, 1162, 1223, 2291, 2427, 676, 2427, 593, 519, 1482, 2244, 563, 268, 634, 20448, 2229, 3210, 547, 519, 4400, 7040, 3375, 538, 22816, 814, 1044, 547, 3801, 547, 1780, 519, 7111, 7170, 14821, 9291, 630, 1960, 278, 264, 799, 568, 2966, 547, 2285, 22979, 547, 519, 29009, 1235, 855, 799, 786, 4440, 1291, 547, 2417, 25036, 543, 1035, 3234, 3415, 609, 7087, 26880, 563, 268, 634, 1684, 551, 9068, 540, 9484, 9653, 540, 25024, 11394, 547, 26343, 519, 3635, 540, 519, 15424, 267, 10324, 543, 16324, 8371, 540, 2229, 14311, 547, 741, 9757, 5238, 630, 13640, 8365, 267, 519, 16410, 6839, 543, 519, 10470, 1916, 1607, 568, 547, 2327, 602, 513, 3666, 568, 9738, 1063, 519, 1614, 8371, 540, 2229, 543, 7551, 2061, 606, 6057, 540, 1379, 607, 1522, 2049, 538, 513, 28983, 1222, 563, 268, 634, 3252, 540, 519, 1614, 8371, 616, 912, 268, 634, 15445, 1599, 3322, 519, 19862, 543, 11056, 540, 3609, 269, 769, 519, 31689, 1062, 519, 10324, 568, 13408, 540, 519, 10361, 540, 3557, 543, 519, 16410, 6839, 563, 268, 634, 22694, 894, 1599, 3322, 519, 15357, 618, 610, 1818, 540, 4031, 543, 568, 642, 6479, 538, 12057, 563, 268, 634, 7225, 2772, 1599, 3322, 519, 7664, 267, 3498, 543, 11268, 540, 519, 1876, 269, 898, 568, 27361, 998, 519, 10470, 563, 268, 7201, 519, 1684, 551, 9068, 540, 9484, 9653, 540, 25024, 607, 4294, 547, 519, 31689, 454, 17882, 540, 2229, 267, 519, 22694, 1155, 568, 519, 18678, 1876, 2173, 6033, 269, 769, 4641, 972, 454, 529, 1100, 9668, 1063, 519, 15445, 543, 519, 22694, 1155, 563, 1724, 20448, 543, 1533, 7060, 454, 2750, 5477, 7060, 630, 13349, 17314, 1152, 994, 338, 269, 476, 7367, 281, 1401, 5477, 7060, 540, 519, 12057, 454, 338, 269, 476, 3445, 281, 31654, 1682, 267, 2300, 1047, 543, 29667, 625, 454, 338, 269, 476, 10844, 281, 5131, 4123, 1063, 519, 2829, 454, 338, 269, 2433, 11633, 1894, 454, 338, 269, 476, 10755, 281, 14171, 936, 1533, 1857, 22440, 454, 338, 269, 476, 14625, 281, 13639, 4229, 454, 338, 269, 476, 12893, 281, 4354, 6275, 454, 338, 269, 476, 14338, 281, 6554, 540, 5313, 11182, 454, 3519, 9690, 7060, 630, 3333, 1563, 1063, 20448, 543, 519, 2829, 994, 4910, 573, 783, 7060, 630, 560, 919, 1152, 994, 268, 7316, 972, 568, 1022, 24081, 1890, 1063, 4031, 1500, 896, 519, 12600, 7060, 14074, 540, 519, 20448, 9139, 543, 513, 1533, 267, 521, 269, 476, 11820, 2488, 602, 519, 1533, 4031, 267, 547, 519, 6708, 540, 519, 24081, 1890, 267, 4927, 581, 23380, 563, 268, 4107, 540, 519, 20448, 7060, 616, 4371, 21276, 569, 609, 519, 2829, 630, 324, 3052, 269, 521, 269, 476, 7906, 1070, 799, 1797, 602, 1312, 666, 9777, 622, 538, 891, 2127, 269, 7316, 789, 4655, 267, 519, 20448, 1876, 786, 7173, 841, 952, 519, 9837, 540, 519, 20448, 12057, 568, 547, 1412, 16225, 519, 2361, 8339, 0, 291, 790, 19241, 1990, 636, 769, 327, 5306, 454, 8005, 6499, 547, 723, 741, 1863, 786, 3144, 2476, 689, 873, 286, 23883, 950, 621, 2501, 547, 2596, 3664, 538, 938, 3232, 2729, 267, 899, 267, 585, 1383, 267, 1018, 649, 6108, 938, 2724, 593, 269, 898, 814, 1279, 1044, 1455, 1702, 602, 3929, 2188, 3310, 938, 5079, 269, 769, 8257, 8637, 22196, 2575, 2488, 513, 1745, 3766, 797, 5790, 1247, 585, 6752, 267, 909, 15515, 520, 1402, 543, 4224, 8964, 616, 9277, 547, 17938, 1791, 622, 6300, 11825, 543, 2333, 741, 9140, 25372, 269, 6904, 1917, 338, 519, 2243, 281, 1403, 621, 1568, 3842, 1018, 649, 5873, 666, 621, 849, 960, 998, 938, 2631, 540, 9329, 888, 6124, 3621, 543, 6725, 2090, 1397, 602, 519, 946, 540, 20416, 666, 3310, 6800, 538, 741, 11449, 3375, 543, 948, 3549, 2333, 741, 24826, 269, 634, 1382, 20576, 585, 21436, 6184, 697, 693, 519, 2160, 540, 853, 269, 11829, 523, 1336, 602, 5561, 538, 2098, 584, 747, 8637, 1705, 538, 1249, 1450, 2933, 547, 581, 6766, 676, 20416, 269, 634, 6800, 18423, 3476, 543, 811, 4749, 1500, 519, 3375, 547, 4444, 513, 1587, 269, 634, 1267, 281, 634, 15945, 941, 2111, 547, 2333, 741, 24826, 676, 909, 547, 5216, 2600, 269, 4329, 2090, 267, 585, 1383, 676, 519, 1382, 1895, 968, 8256, 11167, 543, 10263, 892, 693, 519, 2160, 540, 22087, 8538, 1941, 267, 9672, 891, 4681, 563, 8722, 601, 902, 543, 8823, 454, 3719, 1018, 2965, 4523, 538, 519, 2634, 538, 891, 2090, 286, 3245, 4332, 593, 1480, 7919, 4865, 513, 2631, 540, 9329, 269, 1306, 649, 979, 998, 1272, 649, 1995, 811, 543, 811, 1114, 30851, 267, 4558, 873, 538, 519, 2634, 543, 13217, 938, 2702, 547, 2995, 835, 20416, 689, 1776, 269, 634, 2631, 540, 9329, 568, 3226, 4241, 1317, 621, 568, 5631, 10805, 538, 519, 1016, 23655, 269, 1323, 10153, 16371, 17003, 1590, 581, 18481, 2178, 547, 1118, 922, 1259, 883, 938, 9637, 1107, 1152, 1287, 267, 798, 649, 5469, 602, 649, 616, 1159, 2454, 1945, 269, 634, 9224, 568, 849, 519, 1152, 2631, 1418, 602, 15920, 922, 25372, 4652, 2830, 1229, 689, 519, 10153, 16371, 6147, 1962, 636, 547, 519, 993, 17789, 323, 8403, 267, 519, 851, 540, 519, 18215, 545, 1062, 538, 519, 2634, 269, 901, 1797, 602, 519, 25372, 21271, 519, 7740, 540, 519, 19548, 16794, 602, 7363, 1459, 606, 21677, 267, 543, 4283, 519, 1016, 23655, 2047, 269, 1703, 267, 891, 25372, 32570, 4606, 543, 8823, 269, 901, 568, 1141, 519, 1883, 547, 519, 2243, 2436, 938, 9140, 2623, 666, 581, 6766, 676, 20416, 6013, 269, 18461, 902, 543, 8823, 666, 581, 2318, 267, 789, 666, 2992, 5898, 543, 12257, 543, 3976, 16578, 6800, 547, 4444, 513, 1587, 269, 1717, 789, 666, 849, 2322, 721, 1055, 1107, 952, 649, 616, 1065, 6160, 539, 610, 1745, 13943, 1287, 649, 786, 9090, 1832, 938, 3845, 689, 519, 1587, 543, 689, 519, 6718, 563, 1103, 519, 8257, 540, 11671, 321, 5735, 693, 519, 1284, 714, 10458, 4659, 540, 3163, 538, 1234, 327, 990, 582, 267, 5840, 267, 519, 4276, 1063, 20416, 543, 4606, 814, 1044, 21503, 811, 703, 13208, 269, 634, 3744, 723, 5631, 7255, 2933, 609, 519, 2243, 281, 4208, 798, 930, 24462, 538, 1880, 32570, 8823, 689, 938, 6689, 286, 769, 835, 4603, 5171, 941, 3254, 1114, 3615, 269, 2311, 519, 1482, 942, 789, 4862, 513, 3280, 610, 1223, 9329, 513, 20416, 269, 25980, 2663, 519, 4603, 729, 7368, 1107, 713, 942, 2705, 609, 1114, 4992, 543, 24462, 269, 634, 2164, 4951, 602, 19952, 519, 5171, 2404, 519, 1843, 1034, 9244, 609, 519, 1101, 20416, 269, 2311, 519, 1482, 942, 513, 1880, 4806, 540, 8849, 2534, 538, 519, 28481, 25283, 729, 4362, 269, 634, 3744, 3357, 547, 519, 3932, 602, 24462, 267, 799, 616, 2404, 609, 3615, 267, 616, 9244, 12979, 1819, 538, 938, 12058, 543, 891, 6292, 902, 7363, 2049, 538, 6689, 563, 4913, 267, 2687, 547, 2257, 267, 519, 4276, 1063, 9329, 543, 9140, 2623, 568, 711, 3833, 865, 2241, 269, 769, 607, 1454, 607, 513, 2898, 3126, 540, 3606, 2188, 849, 3310, 2436, 267, 6038, 267, 938, 9224, 814, 513, 1909, 547, 1404, 269, 13636, 543, 2686, 21274, 3313, 519, 1198, 24462, 723, 593, 721, 269, 589, 7013, 3864, 814, 1114, 12205, 609, 519, 20416, 540, 20521, 547, 513, 4436, 282, 519, 5545, 4782, 1114, 24462, 547, 519, 3345, 4892, 269, 5015, 538, 513, 10918, 2796, 519, 20416, 1590, 9290, 519, 1587, 543, 519, 11449, 3510, 1107, 543, 621, 1058, 711, 581, 14669, 547, 519, 6788, 540, 519, 6075, 269, 1656, 267, 607, 609, 1034, 1919, 538, 1272, 267, 519, 740, 720, 10039, 281, 5213, 1406, 21179, 622, 269, 589, 1360, 14021, 10153, 16371, 1995, 666, 3533, 1831, 1065, 14601, 269, 18873, 723, 3254, 602, 2241, 1085, 757, 18609, 5561, 1034, 540, 782, 269, 4340, 547, 1382, 267, 713, 814, 547, 798, 609, 519, 6240, 540, 968, 324, 848, 540, 4393, 2108, 269, 634, 4443, 513, 2283, 783, 12705, 666, 581, 9268, 519, 811, 2318, 649, 1995, 621, 14156, 563, 5415, 543, 811, 3549, 723, 2907, 6444, 519, 1761, 540, 20416, 269, 18766, 689, 4758, 1880, 2472, 1880, 1085, 757, 930, 723, 849, 1831, 5461, 538, 519, 10206, 540, 513, 15952, 590, 1417, 1107, 20416, 607, 513, 15262, 540, 3961, 269, 1924, 267, 786, 20416, 1831, 519, 1985, 8262, 774, 532, 286, 769, 1082, 2665, 621, 568, 1869, 2352, 547, 2268, 519, 4398, 543, 3310, 24462, 723, 593, 6455, 5515, 269, 3509, 2055, 849, 2611, 796, 753, 26833, 538, 519, 3406, 585, 1500, 3562, 24578, 5501, 1085, 757, 585, 6800, 543, 519, 1034, 5078, 1505, 585, 16089, 519, 20416, 269, 1717, 1058, 519, 4276, 1063, 20416, 543, 6216, 6961, 547, 581, 513, 3811, 6725, 6293, 543, 13604, 581, 4922, 2322, 883, 2259, 676, 3549, 267, 713, 1223, 1291, 547, 513, 1394, 2000, 1662, 689, 6800, 269, 5221, 1082, 6800, 2972, 543, 1256, 2648, 1880, 24462, 267, 855, 972, 568, 835, 3364, 789, 798, 711, 1616, 267, 543, 602, 568, 547, 581, 1291, 676, 519, 9224, 269, 285, 7982, 547, 7650, 0, 271, 533, 1206, 8694, 1607, 2243, 568, 454, 743, 2216, 269, 3143, 2798, 941, 13752, 563, 296, 723, 1100, 2856, 875, 547, 798, 621, 269, 921, 848, 948, 454, 263, 11795, 2159, 264, 5565, 5536, 616, 4448, 676, 513, 14461, 2527, 1652, 11425, 540, 26319, 561, 267, 799, 29226, 538, 513, 8880, 7077, 609, 3586, 16070, 767, 6290, 28911, 269, 12928, 1057, 12967, 454, 26625, 2176, 693, 519, 1079, 5536, 2061, 32355, 9325, 689, 2348, 513, 6991, 5057, 2059, 519, 11425, 267, 855, 1492, 5536, 666, 13472, 1510, 11508, 538, 513, 454, 323, 3925, 704, 12993, 547, 519, 11425, 563, 320, 269, 2913, 779 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2892, 926, 539, 2816, 269, 5871, 7694, 3681, 1331, 2324, 538, 3506, 267, 2937, 2069, 12621, 267, 9945, 267, 801, 3930, 267, 26847, 543, 2066, 519, 3860, 6080, 563, 2791, 3513, 2356, 6133, 707, 960, 10446, 610, 998, 513, 19922, 269, 6271, 11460, 568, 547, 723, 606, 8665, 6133, 960, 593, 707, 15773, 269, 901, 949, 3035, 596, 811, 6455, 543, 9962, 4598, 267, 855, 707, 8665, 786, 1491, 10243, 593, 1018, 789, 6133, 563, 293, 710, 1148, 568, 513, 3810, 8013, 2361, 543, 596, 1590, 581, 4199, 995, 538, 1931, 547, 1711, 707, 1378, 3255, 543, 3343, 856, 1007, 543, 4277, 4025, 547, 1397, 543, 6133, 707, 960, 269, 1452, 666, 1331, 7376, 21445, 5624, 267, 13063, 267, 15882, 267, 15945, 267, 2621, 543, 1857, 5624, 563, 2791, 949, 3489, 862, 3827, 547, 1118, 1808, 4773, 540, 960, 585, 2043, 610, 5238, 267, 610, 596, 1223, 2119, 547, 5150, 606, 7376, 781, 32031, 269, 31876, 543, 3877, 540, 4036, 4293, 267, 7616, 3255, 543, 19194, 666, 581, 1336, 689, 519, 1739, 2959, 912, 268, 513, 5991, 281, 634, 20551, 6176, 7577, 454, 268, 8551, 7027, 4789, 454, 268, 8551, 7027, 540, 8832, 8581, 454, 268, 8551, 7027, 540, 12986, 454, 268, 8551, 9177, 9012, 22868, 454, 268, 8551, 22868, 1299, 8551, 5240, 454, 268, 8551, 12333, 454, 268, 3703, 7027, 910, 8551, 6828, 454, 268, 27207, 7027, 454, 268, 11300, 5623, 454, 268, 11300, 10430, 454, 268, 3627, 17363, 2871, 1375, 523, 8583, 17341, 7690, 454, 268, 19536, 1299, 20551, 5729, 1504, 454, 309, 659, 17473, 543, 3255, 616, 1419, 711, 6994, 2213, 693, 782, 267, 543, 596, 1058, 581, 5423, 547, 1382, 543, 10625, 3255, 585, 5386, 5159, 998, 13033, 543, 676, 2348, 519, 6015, 547, 1935, 14540, 543, 2043, 563, 3080, 1259, 547, 1020, 24015, 568, 547, 2347, 513, 2022, 12392, 28730, 267, 971, 607, 513, 27587, 610, 2022, 12392, 26885, 269, 1411, 666, 3442, 689, 1082, 1148, 5396, 693, 713, 1377, 543, 513, 1297, 540, 2110, 6030, 616, 2139, 269, 898, 781, 849, 2009, 547, 1353, 585, 1585, 17758, 693, 31641, 4488, 1377, 563, 5353, 22701, 856, 1007, 3318, 17066, 267, 585, 1383, 585, 3101, 3347, 609, 824, 5159, 267, 1225, 2209, 543, 19922, 5411, 267, 568, 1271, 269, 1411, 3513, 1451, 998, 23712, 543, 2324, 609, 1866, 543, 1646, 3255, 666, 8451, 607, 513, 1267, 563, 2252, 596, 2811, 513, 2487, 10927, 596, 1223, 3343, 960, 607, 606, 7376, 781, 13930, 610, 18638, 13930, 267, 799, 2488, 1434, 2866, 543, 1565, 3255, 269, 1411, 1223, 689, 1934, 1831, 15469, 547, 519, 1909, 540, 18638, 9614, 563, 2791, 666, 849, 1020, 676, 1565, 1007, 7499, 2553, 269, 2290, 1259, 547, 798, 713, 568, 547, 960, 607, 513, 5958, 1807, 267, 799, 3322, 1818, 543, 14335, 824, 5159, 262, 960, 593, 741, 15773, 563, 2467, 781, 1100, 3044, 610, 11295, 4876, 2619, 585, 513, 5386, 7376, 267, 865, 4876, 1646, 3884, 1405, 2653, 547, 3589, 563, 7312, 1967, 786, 581, 3810, 8200, 593, 519, 1377, 540, 7029, 596, 723, 547, 707, 960, 269, 10289, 1114, 3255, 543, 11319, 707, 960, 883, 519, 1857, 6389, 267, 2901, 998, 1582, 1790, 668, 10056, 610, 519, 946, 540, 606, 8665, 267, 786, 581, 2556, 269, 1411, 1058, 849, 2119, 547, 7119, 538, 607, 1082, 21088, 24218, 610, 1895, 2982, 607, 2009, 563, 20751, 2947, 547, 4557, 1296, 540, 4271, 908, 596, 949, 723, 707, 1378, 18638, 267, 19922, 6041, 267, 2834, 2982, 543, 513, 3060, 540, 1271, 17066, 269, 2311, 713, 3942, 596, 3513, 23248, 723, 1185, 2614, 1967, 602, 596, 666, 960, 593, 707, 1148, 593, 513, 2407, 6066, 4493, 267, 7654, 1256, 14139, 930, 5234, 547, 960, 538, 707, 18638, 563, 4913, 267, 596, 949, 3442, 547, 9772, 513, 14769, 2511, 540, 2324, 267, 1141, 596, 6108, 930, 540, 707, 3018, 2324, 593, 707, 1148, 267, 543, 519, 1964, 6170, 2324, 538, 513, 1644, 2361, 267, 971, 607, 3450, 1148, 538, 3506, 269, 901, 666, 1683, 3099, 543, 513, 811, 5150, 4747, 563, 2791, 1223, 1831, 606, 7376, 538, 15335, 267, 7722, 585, 513, 942, 676, 513, 19922, 267, 2230, 267, 13539, 610, 9872, 547, 1118, 960, 543, 3565, 1983, 543, 1702, 269, 0, 763, 3923, 540, 4728, 814, 1044, 29805, 6468, 781, 3778, 13600, 267, 543, 1004, 1472, 519, 1158, 616, 2921, 891, 476, 4029, 2395, 547, 2731, 8661, 2021, 543, 6690, 2066, 519, 1158, 543, 2429, 1686, 269, 12846, 267, 972, 568, 835, 1554, 713, 3923, 602, 568, 3063, 1271, 281, 4139, 6468, 781, 4303, 267, 513, 1554, 6131, 547, 2021, 10876, 607, 649, 960, 1927, 538, 519, 5571, 4339, 4339, 585, 7862, 269, 1809, 1018, 4010, 568, 4139, 6468, 781, 4303, 286, 1656, 950, 568, 621, 9976, 286, 3371, 781, 3388, 547, 917, 827, 519, 2462, 1554, 865, 596, 666, 6443, 538, 593, 713, 1032, 781, 16873, 563, 1432, 568, 4139, 6468, 781, 4303, 888, 17220, 6468, 781, 4303, 568, 513, 1554, 6131, 547, 14120, 2021, 543, 782, 789, 723, 12913, 269, 4340, 547, 519, 3896, 267, 594, 310, 291, 568, 834, 718, 827, 9322, 267, 11812, 267, 8086, 267, 14223, 267, 543, 2962, 1701, 2201, 1283, 540, 513, 11812, 267, 519, 1554, 849, 6411, 607, 513, 1289, 547, 2962, 547, 3914, 7862, 540, 519, 25469, 563, 2691, 568, 4139, 6468, 781, 4303, 888, 9336, 1032, 267, 594, 310, 291, 568, 9976, 593, 4728, 476, 279, 628, 269, 901, 2245, 3459, 476, 10482, 1296, 3516, 538, 476, 5002, 280, 950, 519, 31012, 9549, 540, 3013, 6896, 513, 13889, 538, 1715, 3840, 4975, 1141, 476, 1428, 267, 1822, 2021, 3893, 1927, 547, 4339, 1394, 1996, 1279, 960, 3108, 267, 1970, 2628, 267, 543, 3668, 540, 13359, 2924, 563, 4263, 1101, 267, 519, 1554, 729, 5219, 547, 607, 2817, 6468, 781, 4303, 267, 855, 538, 476, 4489, 274, 267, 6576, 6444, 4139, 6468, 781, 4303, 607, 513, 9702, 269, 898, 729, 593, 713, 1554, 1175, 2185, 1296, 2663, 950, 9937, 540, 5215, 540, 6739, 2021, 6896, 513, 13889, 585, 1689, 267, 13110, 540, 519, 1259, 789, 941, 1373, 5701, 676, 741, 2229, 269, 9617, 513, 1032, 2663, 538, 476, 4489, 275, 267, 519, 3377, 540, 594, 310, 291, 1185, 3262, 1472, 519, 1158, 607, 2021, 3576, 547, 519, 10754, 547, 13889, 741, 9933, 725, 11341, 547, 3388, 689, 519, 2112, 547, 519, 991, 585, 13359, 2924, 269, 5472, 540, 891, 1296, 2663, 543, 519, 9702, 568, 1869, 9976, 5001, 563, 1432, 568, 519, 6249, 585, 4139, 6468, 781, 4303, 888, 9336, 1032, 267, 4139, 6468, 781, 4303, 814, 513, 6249, 267, 799, 10274, 519, 4901, 585, 602, 1032, 269, 901, 1032, 267, 519, 6249, 568, 1948, 10376, 1721, 22949, 269, 901, 4564, 519, 2856, 602, 952, 649, 782, 960, 1927, 547, 4339, 1996, 11475, 543, 4161, 12886, 267, 649, 666, 5555, 3914, 7862, 563, 4002, 1283, 540, 602, 267, 1142, 1032, 594, 310, 291, 849, 3096, 519, 2681, 13711, 547, 2099, 2021, 269, 4340, 547, 519, 3135, 267, 13711, 23327, 5126, 543, 15683, 269, 634, 2681, 729, 851, 540, 513, 4999, 540, 13711, 267, 3039, 267, 543, 3043, 267, 799, 12090, 689, 519, 6468, 781, 4317, 543, 11572, 5742, 538, 519, 5177, 538, 476, 5002, 279, 563, 1692, 666, 594, 7119, 538, 4139, 6468, 781, 4303, 888, 2467, 616, 865, 1082, 2081, 547, 7119, 538, 594, 310, 291, 538, 1082, 1114, 19206, 269, 15638, 267, 12909, 267, 543, 267, 540, 1576, 267, 678, 718, 625, 543, 17600, 616, 9648, 1472, 519, 1158, 267, 865, 2638, 856, 519, 594, 310, 291, 2621, 2985, 547, 1294, 1018, 781, 2469, 593, 538, 707, 1858, 563, 2252, 596, 616, 1932, 11112, 547, 7390, 606, 2680, 267, 1397, 707, 17604, 676, 9849, 13711, 593, 4728, 476, 279, 628, 269, 898, 786, 1118, 707, 1745, 4448, 547, 707, 8284, 2021, 607, 596, 979, 827, 707, 1554, 543, 6148, 1256, 7237, 1866, 9849, 519, 16779, 2681, 563, 4517, 6368, 267, 596, 666, 946, 519, 1379, 540, 1514, 2923, 547, 8661, 594, 310, 291, 269, 22367, 651, 519, 1948, 10376, 1721, 22949, 10460, 543, 2022, 606, 17749, 610, 570, 11548, 11589, 1946, 519, 1554, 568, 1271, 547, 596, 269, 11559, 707, 2828, 547, 798, 519, 1482, 543, 4585, 607, 519, 3350, 9428, 269, 0, 305, 1961, 540, 519, 1367, 3040, 634, 1883, 3390, 538, 8159, 519, 4110, 547, 799, 606, 16809, 568, 1367, 626, 610, 2445, 22999, 568, 519, 1620, 540, 1018, 519, 1367, 779, 1909, 568, 538, 2486, 3040, 10572, 626, 1107, 1582, 3146, 18910, 267, 5191, 689, 6392, 3040, 7151, 281, 4357, 1870, 630, 338, 1075, 3865, 610, 3111, 264, 3040, 11814, 22999, 1107, 22524, 11163, 267, 2956, 540, 519, 1895, 936, 519, 1367, 3040, 7151, 281, 8471, 1072, 1416, 630, 718, 2628, 519, 1482, 7488, 540, 946, 994, 11771, 1231, 540, 10572, 1143, 3040, 1452, 2093, 8057, 856, 540, 519, 21654, 3040, 5384, 7222, 609, 519, 11193, 3040, 1912, 2812, 14279, 3459, 547, 2243, 519, 1909, 540, 2229, 538, 519, 4346, 543, 519, 1379, 2229, 1058, 723, 538, 1004, 779, 2729, 3040, 20122, 15816, 267, 28676, 267, 681, 28907, 879, 3040, 23883, 28676, 1107, 18349, 540, 519, 23942, 9406, 540, 18301, 454, 23322, 2524, 540, 10572, 1143, 6554, 1852, 568, 2938, 607, 7679, 1359, 543, 4831, 1790, 8793, 454, 23149, 1143, 3040, 14329, 540, 1876, 1107, 3025, 568, 1641, 547, 519, 1876, 267, 1519, 519, 2229, 1107, 1142, 1367, 568, 519, 1482, 3040, 10572, 7126, 1107, 26421, 1367, 814, 519, 1318, 547, 8917, 267, 5191, 540, 25903, 267, 7681, 2507, 3040, 5262, 2159, 547, 3666, 1367, 2924, 1107, 552, 3052, 269, 5191, 540, 4633, 3040, 17721, 16296, 1107, 1483, 10040, 267, 2168, 3959, 543, 7214, 3959, 281, 18245, 519, 1367, 3040, 8682, 29027, 270, 11296, 5191, 281, 3288, 23579, 345, 1922, 18311, 543, 15865, 1688, 3040, 26269, 1107, 950, 649, 14526, 609, 1142, 824, 267, 649, 960, 9875, 3976, 3025, 2640, 563, 310, 531, 5336, 691, 4600, 616, 851, 540, 513, 1895, 267, 855, 875, 616, 789, 1367, 2065, 2864, 982, 2445, 22999, 888, 8489, 798, 596, 3514, 538, 286, 3040, 5291, 2517, 4178, 4877, 11823, 7609, 3820, 270, 11687, 3040, 5291, 2517, 4178, 4877, 29176, 31296, 2593, 270, 309, 1774, 15675, 528, 5226, 714, 1220, 277, 11258, 3040, 5291, 2517, 4178, 31677, 611, 22106, 919, 3820, 270, 638, 714, 335, 27651, 11258, 3040, 595, 6195, 5240, 538, 5623, 4239, 476, 1220, 279, 454, 299, 28515, 1143, 1548, 538, 519, 1158, 1281, 713, 2262, 1611, 888, 23682, 5112, 9218, 3040, 32201, 267, 21464, 3040, 5131, 689, 14882, 267, 27031, 3040, 5131, 689, 27047, 842, 538, 4633, 610, 2962, 3040, 570, 2056, 538, 3870, 540, 5191, 543, 9111, 3040, 27565, 1143, 7957, 832, 519, 2418, 540, 1367, 1143, 454, 1103, 513, 12666, 2486, 972, 568, 1100, 5075, 540, 519, 968, 16591, 1272, 892, 263, 324, 3052, 269, 875, 547, 2661, 707, 1272, 2687, 547, 15806, 267, 3909, 3401, 264, 3040, 1018, 568, 1434, 568, 8726, 1142, 540, 721, 14350, 3442, 585, 6000, 269, 3143, 5837, 4605, 540, 875, 1919, 1058, 581, 269, 3040, 19634, 333, 281, 875, 798, 596, 1711, 513, 19618, 2486, 952, 3025, 568, 5059, 593, 2933, 888, 13706, 281, 3040, 1403, 596, 3494, 782, 1004, 616, 2813, 3160, 267, 1287, 1058, 649, 1930, 938, 10665, 543, 1450, 4896, 547, 2097, 538, 543, 2671, 938, 2200, 609, 873, 286, 6736, 519, 6167, 17083, 540, 7862, 267, 938, 2924, 3247, 693, 519, 8473, 815, 3540, 630, 639, 5288, 873, 264, 3040, 28676, 3964, 12666, 2093, 899, 9111, 547, 3247, 721, 689, 1373, 31345, 676, 519, 1533, 543, 1631, 2829, 2285, 14121, 820, 1346, 2924, 269, 3040, 1548, 798, 649, 798, 609, 2576, 945, 1281, 711, 2097, 689, 513, 2486, 602, 23216, 609, 938, 18765, 540, 12666, 1143, 543, 2924, 286, 1215, 798, 649, 1450, 873, 519, 5191, 547, 957, 607, 789, 5225, 952, 741, 3527, 979, 1996, 938, 2418, 286, 0, 10112, 1005, 1142, 1367, 2875, 781, 4081, 2208, 543, 1967, 568, 519, 3119, 1445, 693, 853, 269, 623, 3780, 16504, 3427, 563, 763, 853, 269, 623, 3780, 4928, 568, 835, 602, 3091, 513, 11826, 6437, 602, 7512, 1646, 540, 2565, 3206, 543, 7744, 1983, 269, 634, 6437, 543, 6044, 568, 13988, 547, 3084, 4441, 799, 2743, 543, 1419, 9765, 519, 5207, 4441, 538, 2069, 269, 5303, 568, 1031, 538, 14966, 609, 930, 540, 519, 811, 2757, 834, 17549, 543, 4050, 257, 3450, 2409, 2059, 609, 6422, 267, 3946, 6823 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1626, 281, 18227, 3776, 645, 3672, 15822, 910, 4197, 24768, 1108, 543, 7313, 2581, 532, 538, 17925, 9622, 2102, 2886, 692, 5331, 596, 2811, 4730, 3544, 593, 513, 4190, 1554, 267, 950, 10393, 596, 1745, 513, 8325, 1928, 1310, 15700, 513, 2030, 269, 2659, 2960, 7140, 2699, 543, 621, 6238, 547, 6633, 256, 1411, 3533, 2196, 3330, 547, 2995, 707, 3158, 1018, 5949, 269, 2701, 17767, 602, 596, 1522, 723, 2097, 883, 3346, 609, 8914, 17488, 344, 543, 9900, 729, 1127, 519, 4299, 1858, 609, 12853, 543, 1216, 269, 1809, 1018, 952, 1346, 2589, 22009, 286, 1548, 1131, 4755, 1287, 286, 901, 3184, 786, 948, 721, 1174, 6757, 1108, 1107, 519, 1353, 540, 875, 6878, 666, 1860, 938, 4703, 543, 2014, 2800, 1107, 543, 15464, 267, 799, 4386, 950, 2576, 3217, 1932, 1454, 540, 513, 6219, 602, 666, 10413, 873, 269, 1284, 3513, 2263, 1114, 2010, 540, 1093, 11143, 543, 741, 2959, 267, 2059, 609, 3268, 649, 666, 1491, 547, 3251, 2922, 543, 2149, 6000, 1282, 2564, 18002, 780, 4131, 781, 1376, 676, 1565, 827, 930, 1455, 3123, 540, 8914, 902, 269, 589, 8914, 3085, 1406, 2141, 1611, 513, 14686, 6219, 282, 3006, 1256, 4948, 3688, 899, 11955, 267, 7738, 7727, 267, 610, 2371, 1223, 1831, 5739, 1759, 593, 519, 2179, 543, 1259, 789, 616, 10057, 269, 1280, 1383, 267, 2921, 811, 982, 519, 5227, 9570, 540, 1022, 4915, 949, 1291, 547, 18473, 2427, 2360, 610, 1256, 3978, 4539, 269, 6684, 267, 18417, 6704, 6926, 778, 610, 824, 2178, 6464, 1336, 896, 10051, 29826, 666, 1267, 538, 4049, 7063, 269, 4634, 1978, 3536, 267, 971, 607, 30637, 610, 32729, 267, 666, 9594, 13027, 6547, 538, 930, 1004, 269, 1924, 267, 6616, 827, 891, 1761, 12178, 1472, 721, 568, 1898, 547, 9363, 2635, 543, 9319, 10913, 780, 3086, 1577, 781, 4685, 4514, 883, 1620, 1946, 1978, 1919, 616, 2808, 6757, 269, 5272, 1591, 538, 938, 1560, 3252, 1813, 547, 1808, 3114, 3157, 269, 1879, 4914, 6878, 4283, 938, 1062, 267, 789, 15936, 609, 891, 2067, 3157, 3056, 547, 4576, 610, 3441, 269, 2368, 6878, 17225, 2792, 1063, 2281, 1247, 1866, 7519, 1418, 1599, 269, 1452, 18063, 666, 8915, 8335, 4470, 2390, 2188, 899, 2085, 267, 2949, 1072, 267, 543, 7274, 3144, 269, 2334, 781, 1946, 4079, 2356, 1995, 7646, 518, 2589, 3379, 547, 1453, 945, 16662, 1549, 958, 8532, 5732, 5906, 2326, 780, 3080, 1895, 540, 6878, 1419, 5532, 547, 15464, 13685, 2882, 17414, 6950, 269, 744, 7032, 6950, 616, 3532, 1928, 26973, 619, 6508, 689, 1566, 1756, 1402, 335, 625, 269, 1358, 4312, 1044, 8246, 585, 5553, 585, 8156, 1585, 5686, 540, 1928, 855, 849, 4163, 4220, 950, 3765, 4310, 269, 3683, 942, 267, 3755, 949, 1020, 10892, 8506, 2362, 13066, 547, 3035, 519, 1482, 1198, 269, 10251, 267, 713, 4679, 519, 8458, 540, 23139, 22536, 4680, 4611, 538, 30281, 7244, 267, 17499, 1145, 267, 543, 1256, 2669, 269, 4340, 547, 7194, 267, 5176, 1079, 2929, 4892, 17388, 609, 13310, 23776, 8213, 538, 476, 1001, 275, 267, 8051, 585, 5215, 540, 28896, 12422, 780, 2414, 2061, 15464, 267, 1934, 616, 930, 4052, 4388, 1384, 265, 15188, 782, 11955, 18172, 856, 540, 3914, 540, 3214, 269, 2422, 1126, 16513, 11149, 8164, 2009, 563, 265, 8550, 3575, 7622, 2472, 1927, 8259, 9859, 676, 741, 10297, 269, 17186, 532, 20342, 543, 6926, 778, 7472, 13818, 9362, 563, 265, 11408, 1246, 5528, 5402, 950, 1210, 13851, 267, 18168, 267, 610, 16669, 12862, 563, 265, 17546, 3214, 2760, 547, 6492, 610, 5905, 14542, 3615, 267, 2523, 1346, 609, 9490, 24462, 610, 4778, 563, 265, 5403, 6595, 2338, 2282, 7658, 10746, 693, 1753, 543, 1982, 873, 883, 5985, 3457, 780, 1103, 2013, 540, 16143, 15464, 267, 2611, 9350, 543, 957, 24847, 1384, 265, 11910, 2199, 8914, 1852, 7740, 5612, 693, 476, 272, 268, 8517, 268, 19442, 268, 14338, 273, 1369, 519, 772, 2529, 1421, 2139, 476, 2190, 3108, 513, 1554, 267, 5722, 2395, 513, 3018, 563, 265, 1403, 519, 1268, 3884, 1405, 7244, 267, 1685, 31214, 610, 946, 606, 12747, 5007, 1219, 2320, 650, 1807, 630, 288, 3633, 1070, 952, 8036, 563, 265, 20780, 519, 8708, 610, 6003, 540, 519, 1587, 3238, 547, 5351, 8446, 780, 3528, 1620, 2596, 3741, 540, 6757, 1108, 543, 8026, 3106, 3800, 267, 649, 666, 7413, 4220, 2404, 609, 8914, 4598, 543, 3927, 4431, 1282, 12963, 18002, 269, 5457, 267, 4656, 543, 7041, 616, 1883, 3334, 538, 5329, 938, 4703, 2922, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 305, 659, 3559, 590, 269, 654, 697, 2006, 267, 11022, 454, 10112, 9665, 7905, 540, 17073, 6925, 454, 19667, 1707, 540, 6481, 24768, 1108, 454, 2704, 13630, 6481, 3427, 540, 9466, 2160, 454, 17206, 17073, 6925, 7690, 454, 297, 6756, 3405, 773, 3131, 337, 821, 267, 11022, 674, 3722, 21587, 454, 23178, 267, 17073, 6925, 454, 17445, 528, 267, 6481, 24768, 1108, 454, 23430, 540, 17073, 6925, 454, 17206, 540, 12425, 3427, 540, 6925, 454, 302, 7032, 6950, 616, 2500, 585, 2126, 540, 8650, 1928, 538, 519, 17073, 4972, 269, 14956, 1756, 543, 922, 16755, 723, 1044, 1031, 585, 27453, 1312, 1199, 1227, 585, 1387, 2471, 807, 543, 1875, 2173, 539, 1227, 585, 28400, 5562, 2360, 267, 543, 2042, 609, 23776, 6057, 723, 17706, 13554, 2429, 269, 4653, 267, 23776, 1387, 2471, 923, 616, 519, 1034, 4122, 11311, 1362, 540, 6527, 538, 519, 2136, 2276, 543, 1072, 1416, 8502, 1095, 18587, 616, 513, 2101, 2707, 540, 11651, 1540, 17414, 6950, 269, 630, 24922, 476, 1001, 275, 320, 264, 769, 476, 1001, 275, 267, 3592, 476, 273, 2929, 4892, 26884, 610, 941, 8200, 593, 13310, 17414, 6950, 267, 476, 1240, 267, 8660, 274, 30072, 7972, 689, 13310, 17414, 6950, 7018, 267, 543, 972, 941, 476, 1015, 267, 6872, 275, 7972, 689, 5869, 514, 269, 630, 24922, 476, 1001, 275, 321, 267, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 307, 16464, 1108, 543, 7313, 2581, 532, 257, 607, 851, 540, 834, 25503, 1315, 17925, 9622, 2102, 2886, 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, 7170, 281, 4197, 2817, 14740, 998, 21977, 9085, 692, 5331, 596, 723, 1175, 6410, 547, 513, 6216, 1007, 2197, 1141, 3388, 4667, 1114, 910, 519, 1893, 267, 1426, 267, 9821, 267, 543, 5389, 269, 2311, 1101, 267, 621, 1522, 1745, 2182, 547, 3514, 538, 543, 1289, 713, 1747, 707, 1378, 269, 1809, 936, 942, 267, 607, 596, 1451, 827, 519, 2528, 267, 2743, 1007, 1004, 267, 543, 1256, 9772, 930, 2199, 6208, 267, 596, 1376, 4743, 899, 596, 4866, 269, 901, 1184, 540, 3384, 513, 2631, 540, 10362, 543, 4276, 547, 513, 1880, 1895, 540, 1004, 267, 2436, 621, 779, 513, 2146, 267, 4182, 267, 610, 14940, 267, 568, 1018, 649, 1289, 2679, 3084, 3961, 780, 1103, 938, 3309, 1158, 267, 1620, 875, 1866, 1106, 741, 3084, 9163, 666, 948, 721, 5660, 519, 17381, 540, 1480, 2833, 269, 4653, 267, 1577, 781, 2263, 835, 4241, 1383, 1107, 12907, 543, 922, 2189, 5339, 6561, 2439, 308, 330, 9627, 814, 513, 7524, 1686, 4904, 609, 2984, 602, 7866, 519, 9620, 267, 29217, 267, 543, 9909, 540, 922, 1004, 269, 1635, 6313, 891, 6386, 267, 649, 666, 1732, 1174, 875, 19678, 2103, 4646, 741, 3084, 3961, 269, 2913, 781, 4685, 883, 1614, 3344, 540, 713, 9159, 3460, 281, 1893, 267, 3140, 2621, 267, 543, 3838, 2418, 780, 1262, 23458, 281, 4045, 532, 4658, 543, 26492, 4373, 9617, 899, 1565, 2296, 2337, 596, 5968, 609, 4892, 267, 21977, 3332, 13462, 19678, 2103, 998, 741, 5065, 11469, 269, 5678, 4249, 513, 1713, 1909, 538, 8108, 513, 3084, 3961, 1317, 621, 9356, 513, 2146, 781, 7104, 7326, 267, 9644, 267, 543, 5876, 269, 1879, 4589, 2328, 538, 21977, 267, 789, 8190, 741, 3993, 11469, 1247, 4687, 3532, 6835, 602, 13469, 7184, 1369, 741, 2686, 5858, 780, 2690, 3236, 267, 4583, 1568, 971, 607, 20579, 553, 2701, 341, 7770, 14150, 781, 834, 298, 984, 345, 541, 2437, 15776, 807, 9487, 571, 1074, 320, 781, 834, 299, 529, 13960, 623, 529, 11844, 630, 763, 11206, 14576, 1070, 257, 543, 25909, 7671, 334, 781, 834, 289, 10394, 4790, 2774, 528, 257, 782, 8329, 3648, 547, 5935, 2413, 21977, 2219, 543, 1582, 18221, 269, 1452, 25704, 941, 2854, 1210, 2757, 21977, 9647, 2762, 267, 799, 2417, 4396, 1881, 519, 22464, 540, 519, 5339, 1893, 780, 1262, 23208, 15638, 16001, 9961, 1686, 267, 1585, 2621, 8032, 12907, 781, 22038, 269, 3245, 32042, 543, 23909, 547, 26201, 543, 7115, 5322, 267, 1142, 2680, 2451, 606, 30170, 1665, 593, 19678, 2103, 262, 9637, 269, 3509, 7986, 21977, 4589, 9676, 1346, 8090, 538, 741, 12591, 267, 4543, 2104, 5481, 3314, 543, 8956, 741, 2250, 269, 1280, 1383, 267, 1282, 2622, 2782, 4083, 267, 1082, 12703, 7980, 10692, 1996, 4914, 14699, 267, 11121, 3875, 9089, 267, 29946, 267, 543, 9954, 14120, 5869, 1143, 543, 6043, 780, 3080, 8037, 2278, 945, 13006, 11358, 5712, 729, 744, 956, 12968, 10420, 269, 3571, 3209, 834, 306, 984, 528, 630, 29272, 14366, 17983, 12538, 883, 8168, 2445, 643, 1436, 4507, 543, 741, 14042, 1764, 593, 6917, 2950, 269, 6684, 267, 962, 584, 12011, 1744, 7815, 321, 752, 781, 834, 303, 990, 626, 605, 594, 330, 3415, 630, 307, 1446, 6168, 594, 4621, 17983, 3091, 4030, 883, 3909, 20655, 896, 25399, 269, 5637, 1568, 4196, 607, 22880, 23106, 540, 12907, 781, 24360, 2250, 543, 3565, 547, 922, 9687, 3084, 3961, 780, 1262, 4537, 1563, 18880, 16001, 7661, 267, 3695, 1455, 4978, 543, 3741, 4371, 15210, 676, 19678, 2103, 2636, 721, 547, 9787, 519, 9759, 540, 741, 3084, 6891, 269, 3414, 3332, 267, 4798, 540, 5191, 267, 2648, 585, 519, 2244, 267, 1920, 13218, 267, 24756, 267, 5132, 267, 543, 32742, 10836, 14578, 269, 1358, 13686, 519, 4295, 2418, 19644, 676, 19678, 2103, 2429, 5553, 543, 2066, 10923, 6302, 780, 288, 6305, 1383, 1131, 581, 670, 787, 1817, 12011, 4787, 990, 528, 18649, 267, 1634, 607, 12907, 781, 6574, 14544, 1790, 334, 564, 269, 1261, 23647, 2713, 32069, 609, 2470, 543, 15091, 5837, 21644, 899, 19969, 543, 8296, 269, 6271, 3879, 13577, 4137, 568, 7754, 553, 3733, 337, 5500, 267, 4171, 10853, 26007, 540, 4948, 1272, 14129, 1514, 5126, 543, 7862, 1851, 27998, 543, 28665, 7567, 780, 3528, 1631, 267, 596, 1590, 1294, 875, 5704, 2299, 18955, 3332, 568, 883, 12907, 781, 3084, 5958, 269, 1306, 596, 3136, 12423, 824, 4529, 543, 2148, 2137, 1472, 519, 8608, 267, 1832, 538, 2247, 602, 1142, 4062, 5713, 607, 513, 6885, 883, 602, 1895, 781, 9997, 267, 13031, 1312, 2591, 5185, 543, 24984, 6913, 2059, 741, 2619, 2509, 513, 19618, 3961, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 16978, 3055, 7732, 540, 21977, 9085, 454, 1607, 593, 268, 4707, 5697, 23064, 15853, 786, 3801, 547, 3561, 519, 1034, 1271, 4930, 593, 21977, 3332, 3370, 538, 17454, 12677, 14046, 13746, 543, 10070, 269, 898, 568, 513, 27402, 267, 23344, 609, 513, 811, 7522, 1445, 267, 540, 1250, 3102, 12190, 13132, 8720, 2835, 267, 4930, 267, 16627, 543, 1433, 8039, 267, 543, 3370, 607, 3194, 5359, 676, 519, 8225, 4659, 540, 21977, 5525, 693, 519, 1133, 1853, 560, 344, 540, 22598, 2094, 476, 2735, 279, 269, 22419, 5461, 538, 4505, 12326, 616, 9415, 547, 2070, 519, 5907, 14583, 540, 1250, 15853, 693, 4179, 2517, 339, 7568, 9155, 5652, 269, 11301, 857, 269, 12460, 15193, 28022, 270, 601, 592, 270, 12626, 270, 308, 4041, 270, 4586, 7093, 335, 1563, 2523, 585, 519, 634, 21977, 22588, 569, 589, 4750, 540, 21977, 543, 4139, 16457, 267, 519, 1459, 15853, 786, 581, 4797, 538, 7766, 2152, 24682, 607, 1007, 2326, 1831, 2139, 547, 519, 29085, 543, 607, 519, 4930, 616, 1224, 543, 23064, 269, 25927, 28375, 540, 21977, 5830, 262, 4408, 543, 10643, 540, 741, 960, 538, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 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 ]
[ 0, 763, 1686, 540, 744, 12112, 32231, 595, 2714, 720, 454, 302, 12112, 32231, 595, 2714, 720, 568, 513, 18803, 6694, 2978, 537, 17243, 779, 32119, 538, 519, 2295, 540, 6917, 4639, 5080, 9445, 269, 634, 32119, 7389, 689, 519, 3735, 476, 1626, 628, 547, 2038, 476, 1704, 628, 2540, 543, 899, 1082, 6469, 5656, 814, 7960, 607, 513, 1587, 540, 922, 10450, 563, 1607, 2370, 32119, 267, 538, 606, 3413, 23308, 543, 29245, 851, 540, 4789, 267, 568, 606, 8966, 6668, 1317, 621, 814, 2097, 998, 519, 14206, 2540, 711, 7357, 796, 5306, 1229, 855, 6157, 711, 2413, 2213, 563, 763, 32119, 729, 2016, 547, 519, 2817, 11565, 538, 476, 4198, 275, 676, 7323, 966, 5028, 20152, 543, 7323, 19468, 29029, 18832, 14979, 2353, 325, 9445, 269, 634, 19946, 9715, 519, 32119, 538, 476, 4350, 278, 547, 7110, 513, 1297, 540, 26181, 1137, 789, 11262, 1369, 519, 8498, 540, 670, 3711, 1194, 517, 269, 1358, 9715, 2789, 26181, 1137, 1369, 519, 8498, 547, 4688, 519, 4557, 1218, 689, 859, 2109, 543, 547, 1450, 873, 547, 2611, 538, 741, 5321, 269, 634, 2353, 325, 9445, 19946, 267, 538, 2490, 267, 5293, 713, 14769, 547, 519, 2817, 11565, 2390, 519, 2783, 602, 519, 26181, 1137, 941, 968, 2254, 1577, 547, 1134, 3562, 28273, 1004, 6100, 744, 12112, 32231, 595, 2714, 720, 729, 5030, 538, 676, 6004, 543, 11427, 11518, 2044, 2394, 23413, 11518, 2044, 779, 2669, 538, 476, 2735, 274, 269, 634, 1152, 23456, 540, 29678, 941, 513, 2582, 11690, 23094, 543, 513, 4411, 4881, 7148, 563, 2005, 729, 713, 3668, 540, 2413, 5314, 799, 1500, 519, 32119, 513, 678, 10846, 267, 513, 1463, 3095, 1394, 547, 519, 1514, 1686, 540, 519, 3148, 543, 519, 6917, 1259, 540, 1272, 1631, 3592, 5293, 689, 3965, 563, 288, 1900, 1394, 538, 942, 454, 763, 32119, 814, 1044, 7677, 1639, 607, 621, 1522, 723, 7902, 538, 519, 4571, 476, 866, 628, 2540, 267, 607, 519, 1920, 1753, 540, 513, 3484, 2978, 537, 17243, 267, 5356, 513, 4334, 547, 519, 2197, 544, 6416, 8075, 540, 519, 3148, 543, 3246, 606, 8076, 12705, 540, 2324, 11665, 6917, 1272, 540, 519, 1974, 563, 2467, 568, 2241, 4052, 11647, 538, 519, 32119, 267, 15429, 1740, 31910, 1206, 267, 513, 1159, 1442, 267, 3694, 14089, 267, 19060, 1769, 23156, 3620, 1245, 619, 543, 10051, 16292, 269, 589, 3595, 11127, 814, 1044, 1500, 676, 513, 2199, 17051, 19431, 543, 18795, 538, 519, 5873, 628, 799, 1131, 723, 1044, 519, 10418, 540, 32119, 1753, 1272, 269, 4107, 540, 519, 5986, 17102, 1934, 2501, 689, 717, 1068, 337, 8775, 808, 2131, 22690, 779, 1378, 4015, 799, 1352, 2451, 547, 519, 5080, 9445, 16329, 1670, 5980, 563, 27916, 2610, 543, 5726, 454, 1103, 476, 1001, 276, 267, 744, 12112, 32231, 595, 2714, 720, 23384, 3573, 5726, 960, 7064, 547, 513, 21464, 21856, 689, 4639, 5080, 9445, 2817, 11565, 10418, 1299, 5948, 543, 519, 1489, 540, 519, 744, 12112, 32231, 595, 2714, 720, 27545, 9730, 543, 670, 3711, 1194, 517, 3474, 880, 7027, 563, 763, 1568, 693, 744, 12112, 32231, 595, 2714, 720, 3769, 18203, 547, 519, 8122, 2497, 593, 519, 4395, 540, 519, 32119, 267, 1519, 519, 986, 1123, 338, 267, 18109, 3675, 1235, 543, 18959, 518, 6885, 269, 12465, 2326, 971, 607, 18654, 29147, 543, 678, 1508, 4234, 1127, 941, 1031, 543, 519, 1184, 814, 7000, 4241, 10881, 540, 2250, 23477, 563, 1103, 476, 1708, 273, 267, 2417, 11808, 1568, 3576, 1747, 547, 7816, 519, 13210, 1813, 547, 7449, 2064, 543, 519, 5580, 6989, 729, 556, 26455, 563, 288, 12595, 851, 540, 519, 2146, 454, 302, 12112, 32231, 2458, 720, 18795, 538, 519, 2295, 540, 519, 8498, 540, 670, 3711, 1194, 517, 543, 568, 513, 1454, 2000, 3437, 851, 540, 519, 2146, 269, 898, 568, 7064, 547, 519, 2818, 540, 519, 25110, 543, 824, 2199, 13538, 602, 649, 666, 1930, 519, 32119, 547, 519, 1857, 269, 1358, 2709, 741, 1489, 676, 9117, 607, 4663, 10274, 543, 4509, 519, 4677, 563, 9303, 7595, 5656, 616, 513, 14951, 7708, 557, 540, 2984, 267, 1148, 543, 10070, 269, 6258, 811, 827, 1018, 2306, 891, 4025, 865, 2027, 543, 1544, 707, 3643, 563, 2304, 11977, 1014, 5428, 2777, 609, 1350, 7867, 532, 2892, 3019, 267, 519, 9677, 1014, 544, 6416, 693, 670, 2255, 4133, 543, 519, 2413, 25010, 540, 595, 1633, 517, 616, 1175, 930, 540, 519, 8075, 543, 5656, 7996, 547, 581, 8268, 269, 0, 15031, 1181, 23721, 7689, 4643, 454, 288, 15262, 543, 22916, 517, 5373, 4904, 609, 1082, 3270, 454, 268, 13185, 827, 543, 5581, 623, 2969, 9898, 301, 543, 29135, 9169, 290, 4338, 292, 563, 268, 1401, 3031, 527, 5439, 540, 930, 4583, 8916, 543, 1865, 519, 2553, 543, 3615, 519, 7376, 1031, 538, 741, 5251, 563, 268, 3657, 972, 1022, 7298, 3270, 888, 268, 1548, 5686, 540, 4778, 941, 1031, 888, 268, 27673, 11709, 717, 26710, 779, 10060, 787, 13957, 476, 6642, 280, 543, 5453, 520, 7615, 609, 595, 2988, 816, 476, 6642, 280, 616, 1079, 1434, 1806, 454, 268, 8058, 519, 4806, 7663, 16980, 563, 268, 5620, 1053, 2721, 741, 1378, 2093, 540, 3270, 454, 268, 5269, 513, 1592, 540, 1919, 596, 1522, 1265, 538, 513, 5251, 630, 15711, 267, 4054, 267, 8075, 267, 15113, 267, 5810, 267, 3092, 8094, 268, 10670, 5251, 5373, 563, 268, 3399, 2875, 1055, 609, 2596, 3615, 563, 268, 3816, 785, 1053, 547, 2721, 609, 12508, 630, 335, 16993, 786, 581, 4904, 538, 609, 22916, 517, 538, 519, 1985, 8400, 1916, 268, 1403, 22796, 616, 1031, 585, 519, 3355, 17250, 1118, 2386, 602, 782, 15513, 3515, 616, 4988, 936, 610, 2144, 1078, 1991, 547, 4946, 4778, 563, 268, 11559, 1053, 547, 1039, 6266, 540, 3606, 3615, 543, 3877, 563, 268, 4495, 519, 12400, 616, 2347, 267, 946, 22916, 976, 547, 2681, 3270, 6445, 538, 519, 5546, 543, 3615, 563, 268, 11559, 1053, 547, 721, 513, 3099, 540, 3270, 454, 268, 28582, 547, 519, 4806, 7663, 16980, 674, 454, 268, 19130, 538, 519, 3003, 5373, 609, 2681, 630, 20391, 267, 2244, 267, 4054, 267, 5656, 267, 3092, 28593, 268, 5410, 18138, 18953, 269, 5269, 2386, 602, 5961, 616, 2347, 269, 9906, 779, 2012, 1058, 581, 9102, 593, 519, 4395, 267, 476, 272, 16357, 2476, 689, 519, 1957, 6316, 269, 5269, 2386, 547, 2594, 519, 2875, 2012, 267, 3446, 270, 974, 12329, 543, 1153, 267, 538, 15513, 267, 593, 519, 1394, 540, 519, 11247, 454, 22492, 7064, 547, 631, 12282, 269, 23664, 985, 651, 267, 3203, 3447, 1807, 7711, 6660, 342, 879, 27365, 267, 654, 296, 585, 713, 3992, 1544, 2336, 294, 10232, 476, 272, 1299, 476, 273, 454, 273, 4147, 590, 32268, 454, 268, 476, 279, 476, 272, 270, 273, 16357, 1535, 476, 1556, 16357, 3043, 1148, 1957, 454, 268, 12508, 630, 18872, 1299, 4158, 4778, 994, 268, 4806, 7663, 16980, 454, 268, 1806, 540, 4583, 5159, 685, 8916, 454, 268, 1383, 540, 519, 1788, 0, 290, 727, 543, 581, 851, 540, 513, 2518, 5639, 585, 3552, 2371, 543, 13271, 454, 1607, 15489, 267, 948, 721, 1265, 519, 6628, 779, 1034, 7990, 995, 543, 1271, 13271, 1107, 14589, 322, 2355, 563, 24456, 5158, 779, 8262, 12315, 8285, 7420, 476, 2764, 8734, 268, 476, 276, 5463, 267, 1118, 513, 2318, 1764, 538, 7863, 7415, 6132, 2380, 563, 7883, 519, 3063, 13304, 543, 2196, 3552, 585, 7233, 5158, 454, 289, 22877, 513, 7233, 5158, 4759, 2221, 543, 1927, 649, 786, 25580, 513, 1158, 3638, 538, 2371, 543, 13271, 454, 5649, 538, 281, 2296, 290, 2096, 571, 1122, 454, 305, 27654, 519, 4414, 454, 2171, 917, 972, 616, 930, 13155, 3662, 2249, 538, 519, 1158, 267, 855, 1705, 596, 917, 930, 540, 938, 2371, 616, 849, 12219, 676, 14486, 888, 763, 1434, 3377, 568, 9494, 873, 568, 2009, 269, 3371, 616, 1614, 2371, 2249, 602, 616, 13155, 538, 12986, 543, 519, 32263, 960, 602, 779, 1373, 2944, 547, 3142, 873, 1394, 689, 519, 1490, 1074, 540, 14486, 563, 1607, 568, 938, 1152, 5065, 2249, 540, 595, 582, 821, 2120, 538, 12986, 267, 595, 582, 821, 2120, 524, 3711, 878, 639, 267, 543, 538, 519, 476, 3192, 271, 338, 621, 729, 1524, 547, 607, 1906, 607, 1152, 476, 277, 2371, 538, 519, 3552, 267, 1818, 621, 3486, 9691, 13155, 2336, 2005, 779, 1152, 1336, 538, 519, 4279, 2107, 1889, 594, 5183, 2282, 700, 1633, 644, 7224, 267, 1141, 938, 15466, 2371, 11464, 267, 7605, 29560, 267, 1568, 7258, 519, 2817, 11565, 267, 1230, 14567, 6019, 16907, 965, 7027, 267, 7849, 8249, 12986, 267, 623, 2177, 307, 267, 543, 519, 4557, 656, 16027, 267, 8355, 13643, 267, 547, 1178, 2763, 519, 2244, 538, 513, 1259, 602, 2640, 519, 2249, 563, 1607, 267, 19610, 609, 3646, 547, 2030, 856, 1762, 2371, 723, 1044, 513, 759, 15929, 1967, 267, 543, 649, 4076, 8854, 689, 476, 277, 547, 1134, 936, 476, 3583, 2371, 269, 1284, 616, 1631, 2324, 609, 1382, 1053, 267, 8355, 543, 7066, 18485, 7762, 23307, 4677, 547, 1174, 519, 5222, 602, 2242, 547, 21737, 2853, 723, 593, 713, 2249, 267, 865, 602, 649, 666, 1174, 875, 1655, 547, 4383, 585, 621, 538, 519, 2104, 563, 1432, 649, 2461, 4466, 568, 602, 5883, 547, 1489, 713, 2249, 568, 2348, 22545, 6823, 2318, 2360, 593, 824, 2249, 593, 519, 4279, 2107, 1889, 267, 799, 9727, 875, 6098, 2249, 6051, 960, 666, 723, 513, 22107, 8172, 2318, 4324, 3564, 602, 2249, 267, 856, 883, 519, 9962, 5117, 563, 1607, 1507, 267, 13566, 21730, 2030, 267, 513, 4759, 540, 519, 546, 28888, 542, 1920, 267, 568, 18368, 9691, 13155, 269, 898, 2306, 922, 1753, 593, 519, 1034, 538, 17739, 1043, 7823, 19527, 540, 661, 787, 686, 630, 306, 852, 323, 8205, 1070, 1141, 621, 568, 2922, 689, 17522, 563, 4913, 267, 1813, 547, 519, 4657, 2916, 267, 1256, 891, 7254, 9822, 2456, 616, 4742, 11375, 2214, 3386, 267, 621, 568, 1312, 12777, 543, 19562, 8271, 856, 593, 519, 1360, 6316, 563, 21132, 13283, 585, 538, 17739, 1043, 4025, 267, 2306, 621, 16609, 630, 1729, 2161, 519, 2547, 264, 547, 6895, 269, 1717, 267, 5726, 543, 3665, 5026, 13988, 950, 7605, 29560, 267, 5981, 25306, 543, 19375, 681, 12578, 4682, 856, 593, 887, 6647, 547, 5619, 585, 713, 7823, 14951, 269, 4256, 3646, 723, 7000, 602, 519, 2030, 779, 2551, 814, 2799, 689, 476, 273, 2043, 267, 547, 476, 275, 2336, 4407, 602, 568, 1869, 32049, 569, 1906, 267, 621, 4564, 513, 30945, 540, 519, 2518, 2551, 540, 713, 2249, 267, 543, 3947, 721, 4126, 602, 609, 1489, 267, 891, 5095, 666, 9156, 563, 2171, 616, 30590, 547, 723, 4607, 7616, 585, 715, 4405, 993, 1635, 628, 29755, 12986, 685, 17514, 1222, 2249, 6051, 1788, 799, 649, 616, 851, 540, 267, 2059, 609, 8370, 824, 2825, 1347, 885, 269, 7605, 29560, 786, 581, 3056, 593, 519, 570, 569, 338, 879, 631, 2106, 344, 9536, 661, 787, 686, 630, 300, 20667, 4035, 1564, 540, 16176, 323, 8205, 264, 547, 1683, 606, 17170, 3076, 5202, 547, 2249, 899, 16176, 18484, 8316, 330, 15634, 563, 5629, 519, 1788, 5956, 538, 5181, 649, 2461, 2469, 547, 581, 2324, 609, 519, 2817, 11565, 547, 4383, 519, 21737, 540, 13265, 543, 23161, 593, 519, 7823, 267, 799, 786, 23248, 1711, 811, 3768, 626, 32328, 7226, 585, 713, 2249, 547, 3935, 1125, 563, 1607, 7823, 13049, 568, 851, 540, 513, 24194, 540, 2249, 602, 729, 2899, 7839, 782, 2066, 519, 5177, 543, 2342, 267, 519, 11848, 25575, 335, 1149, 563, 16729, 519, 2063, 10979, 6520, 621, 1131, 723, 1044, 1336, 936, 513, 1804, 6708, 540, 6628, 267, 855, 3935, 5314, 540, 2249, 689, 519, 5045, 607, 5210, 723, 24111, 814, 4718, 621, 18956, 547, 782, 855, 938, 5207, 7823, 25568, 267, 1141, 519, 5993, 5210, 616, 18481, 3579, 563, 1607, 2249, 568, 1362, 539, 607, 12219, 593, 519, 5177, 1377, 2699, 1592, 267, 1256, 1498, 11451, 621, 779, 1044, 12290, 607, 2274, 770, 19634, 333, 630, 527, 666, 581, 1336, 2066, 519, 620, 18090, 8916, 540, 2342, 1040, 3962, 2249, 568, 2731, 1271, 851, 540, 938, 2067, 6561, 543, 547, 6336, 513, 2249, 5065, 547, 513, 2197, 4564, 513, 1713, 2530, 267, 711, 1152, 15520, 267, 855, 3235, 10999, 1932, 563, 305, 657, 344, 1094, 343, 604, 14141, 568, 835, 971, 2249, 602, 649, 4076, 4503, 267, 621, 568, 1631, 17255, 538, 519, 3552, 538, 12986, 269, 1809, 3646, 616, 25093, 547, 32543, 28558, 621, 547, 513, 4693, 3135, 2663, 713 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3318, 10618, 5094, 269, 634, 813, 568, 2653, 547, 946, 543, 2141, 6325, 267, 865, 596, 666, 3251, 4448, 609, 707, 17066, 1510, 1022, 2042, 563, 2791, 666, 849, 946, 7956, 337, 593, 707, 2780, 267, 865, 596, 666, 3362, 6494, 543, 4309, 5931, 689, 707, 18376, 563, 17806, 337, 568, 3501, 585, 1870, 4648, 610, 4896, 602, 6499, 547, 1832, 741, 2123, 543, 3318, 1272, 6896, 543, 9674, 563, 2252, 596, 2461, 3168, 585, 513, 6325, 543, 2653, 3562, 14025, 1257, 20261, 813, 267, 7956, 337, 568, 513, 1390, 4781, 269, 898, 779, 3501, 585, 1870, 10618, 267, 543, 621, 779, 2141, 6325, 543, 13462, 3533, 269, 8437, 1934, 547, 2119, 621, 2221, 256, 0, 2005, 568, 1655, 1634, 585, 2348, 1152, 2185, 11317, 543, 7654, 1373, 519, 3803, 16889, 1747, 540, 519, 19416, 3751, 14880, 563, 3719, 1631, 962, 333, 903, 2037, 25651, 267, 610, 645, 731, 8124, 6816, 267, 814, 513, 1007, 3409, 547, 21239, 281, 519, 6263, 6552, 6532, 538, 12986, 13166, 814, 835, 540, 519, 1655, 3781, 22839, 538, 519, 1158, 563, 2005, 568, 519, 1101, 3135, 538, 2342, 547, 4309, 4139, 14730, 21708, 5842, 551, 4231, 630, 2839, 7704, 264, 13995, 267, 11836, 476, 1626, 824, 4609, 5001, 6444, 607, 519, 1034, 6552, 543, 4158, 4025, 593, 3047, 563, 763, 3972, 602, 22595, 962, 333, 903, 2037, 25651, 1107, 1753, 547, 1175, 513, 19625, 540, 7264, 855, 609, 1100, 1292, 338, 5201, 267, 6517, 610, 11255, 30079, 1107, 1767, 8236, 971, 968, 2181, 560, 16406, 4567, 892, 729, 513, 968, 21346, 633, 9740, 9731, 15447, 333, 607, 2048, 1492, 6532, 540, 476, 736, 267, 1822, 25598, 685, 1317, 540, 519, 9277, 1297, 540, 30401, 543, 519, 22469, 543, 4168, 20708, 625, 602, 723, 1044, 4092, 972, 2094, 519, 476, 277, 628, 2540, 267, 2963, 5267, 602, 645, 731, 8124, 729, 20948, 607, 2484, 1394, 607, 519, 27705, 6520, 563, 1805, 14019, 13957, 281, 962, 333, 903, 2037, 25651, 267, 610, 645, 731, 8124, 6816, 267, 1055, 519, 5032, 540, 3345, 12986, 267, 568, 519, 1101, 3135, 538, 2342, 547, 4309, 4139, 14730, 21708, 5842, 551, 4231, 13995, 267, 11836, 476, 1626, 1866, 5001, 454, 7230, 1774, 281, 634, 3972, 602, 22595, 962, 333, 903, 2037, 25651, 1107, 1753, 547, 1175, 513, 19625, 540, 7264, 855, 1100, 1292, 338, 5201, 267, 6517, 610, 11255, 30079, 1107, 1767, 11543, 971, 968, 2181, 560, 15607, 4567, 892, 729, 513, 968, 21346, 633, 9740, 7536, 1103, 519, 2038, 5664, 12698, 267, 519, 6532, 729, 835, 540, 519, 2868, 5006, 4025, 538, 6628, 1256, 3494, 621, 547, 581, 519, 3803, 16889, 1747, 540, 519, 19416, 3751, 14880, 563, 2467, 616, 1079, 1292, 2188, 602, 1118, 962, 333, 903, 2037, 25651, 835, 540, 519, 4158, 652, 4025, 538, 519, 5177, 563, 20062, 2969, 4959, 667, 2752, 298, 27699, 312, 590, 3198, 6311, 308, 14473, 595, 2207, 2316, 293, 2975, 9569, 888, 763, 4139, 14730, 21708, 23089, 13995, 1184, 568, 2147, 547, 824, 5726, 543, 2825, 5726, 3292, 971, 607, 519, 20648, 2622, 11595, 26317, 563, 2467, 616, 1896, 6688, 267, 1519, 4158, 6607, 11614, 267, 2950, 267, 14425, 267, 7254, 9822, 2456, 267, 543, 4683, 3781, 6607, 4025, 563, 10376, 7121, 814, 922, 1378, 4808, 1759, 593, 2244, 2359, 267, 2450, 543, 2011, 2298, 563, 291, 1046, 6607, 7254, 9822, 2456, 1590, 581, 593, 1857, 610, 4357, 2244, 267, 1930, 547, 519, 1857, 538, 2898, 610, 538, 851, 267, 543, 1590, 1683, 11108, 5784, 1141, 519, 21386, 540, 519, 3781, 6607, 568, 22991, 3160, 547, 610, 18632, 982, 476, 2641, 269, 276, 3172, 6421, 829, 4009, 9095, 2034, 563, 763, 4139, 14730, 4149, 5652, 5948, 1281, 711, 2824, 519, 4609, 267, 789, 616, 7363, 9930, 3990, 676, 513, 1507, 1895, 540, 2043, 945, 10891, 547, 3343, 6101, 4027, 585, 741, 3781, 5251, 563, 763, 1101, 568, 519, 4087, 1107, 1079, 5195, 689, 519, 9133, 540, 519, 24510, 385, 371, 333, 18686, 538, 3345, 12986, 1107, 543, 519, 2034, 568, 519, 4087, 10923, 2934, 563, 763, 6532, 779, 7823, 6411, 607, 513, 11064, 547, 3970, 1769, 689, 519, 22163, 267, 799, 1797, 519, 1034, 1713, 1769, 5533, 2501, 689, 25212, 811, 982, 476, 3583, 5195, 630, 12208, 269, 277, 5998, 264, 2066, 519, 9721, 7256, 563, 306, 1014, 853, 864, 344, 267, 30626, 540, 519, 645, 731, 8124, 6816, 11565, 267, 1767, 281, 2048, 2467, 568, 1100, 8969, 602, 8236, 713, 20380, 4567, 585, 962, 333, 903, 2037, 25651, 786, 6318, 519, 6532, 779, 9043, 607, 513, 2189, 1747, 538, 12986, 543, 835, 540, 519, 1655, 538, 519, 1158, 585, 3781, 8384, 269, 5660, 13140, 563, 14071, 4126, 621, 786, 849, 1118, 513, 2101, 9295, 547, 17516, 519, 1279, 3856, 6940, 540, 519, 6532, 3034, 310, 2297, 2907, 814, 1896, 14730, 21708, 4609, 543, 14425, 267, 855, 4609, 11280, 607, 7254, 9822, 2456, 616, 1454, 4686, 337, 543, 723, 31749, 7355, 585, 519, 2298, 540, 519, 3781, 6607, 563, 763, 2551, 540, 962, 333, 903, 2037, 25651, 814, 11385, 730, 936, 519, 5553, 267, 855, 2221, 621, 568, 1753, 547, 513, 1507, 2146, 540, 7264, 945, 3484, 519, 2244, 543, 3165, 689, 519, 6532, 563, 2467, 616, 849, 476, 1015, 9702, 5321, 267, 609, 8436, 4847, 1063, 4728, 543, 5239, 563, 763, 6263, 2146, 568, 1152, 3015, 676, 10935, 689, 513, 1507, 22163, 10068, 8498, 267, 855, 5553, 3516, 519, 12701, 540, 2244, 729, 835, 540, 6628, 779, 1034, 1271, 3909, 4609, 563, 763, 476, 272, 269, 276, 28902, 6532, 729, 513, 4168, 31145, 3135, 538, 519, 5664, 12698, 1107, 950, 621, 729, 1767, 602, 1614, 11564, 547, 645, 731, 8124, 3160, 539, 835, 3643, 547, 7507, 563, 300, 926, 13535, 9749, 568, 835, 540, 519, 3354, 22651, 693, 962, 333, 903, 2037, 25651, 543, 814, 1044, 851, 540, 519, 17890, 13995, 1184, 563, 2108, 2691, 594, 2661, 1934, 267, 594, 6557, 2141, 538, 25713, 540, 519, 6532, 779, 5898, 2443, 543, 519, 3781, 6607, 568, 513, 2462, 851, 540, 602, 2223, 1352, 1767, 563, 2108, 16352, 5833, 13995, 267, 649, 1413, 4464, 547, 22205, 8436, 1934, 538, 519, 4947, 3275, 543, 1296, 543, 4687, 938, 2189, 1650, 609, 873, 563, 5141, 846, 10275, 27848, 281, 962, 333, 903, 2037, 25651, 779, 2551, 814, 11385, 730, 936, 519, 5553, 267, 855, 2221, 621, 568, 1753, 547, 513, 1507, 2146, 540, 7264, 945, 960, 519, 2244, 543, 3165, 689, 519, 6532, 454, 23613, 1686, 281, 962, 333, 903, 2037, 25651, 568, 1767, 547, 723, 1831, 606, 1271, 3909, 4099, 538, 519, 476, 277, 628, 2540, 269, 645, 731, 8124, 700, 30224, 568, 3182, 3293, 454, 8489, 568, 621, 286, 634, 476, 272, 269, 276, 13304, 1279, 6532, 729, 513, 4168, 31145, 3135, 538, 519, 5664, 12698, 1107, 950, 1614, 11564, 547, 645, 731, 8124, 3160, 539, 835, 3643, 547, 7507, 454, 15578, 476, 1626, 667, 2752, 298, 27699, 312, 590, 3198, 6311, 308, 14473, 590, 3951, 2464, 454, 268, 8206, 288, 324, 256, 295, 2967, 17833, 1695, 926, 11595, 5244, 630, 21026, 4000, 994, 268, 589, 1774, 320, 1315, 4279, 4446, 8175, 6816, 630, 6124, 10215, 994, 268, 4563, 29361, 13812, 5004, 9351, 267, 7147, 630, 24433, 994, 268, 21940, 776, 27347, 2052, 4141, 9351, 8187, 15227, 267, 16506, 630, 24433, 994, 268, 15328, 6193, 8805, 3033, 267, 1715, 6792, 630, 24433, 994, 268, 8061, 2812, 5211, 3557, 7849, 9351, 1107, 5548, 17368, 324, 5149, 267, 7147, 630, 24433, 994, 268, 18637, 686, 11253, 27190, 1537, 630, 2419, 850, 994, 268, 918, 1092, 327, 19734, 28418, 543, 27347, 2817, 31790, 267, 19051, 630, 24433, 994, 268, 23452, 20417, 2817, 13812, 25083, 267, 23497, 630, 24433, 994, 268, 7136, 21492, 681, 574, 8187, 15227, 5530, 9351, 267, 21600, 630, 24433, 994, 268, 6925, 32520, 3557, 5244, 267, 23497, 630, 24433, 994, 268, 16381, 322, 1515, 333, 11866, 454, 268, 14175, 11312, 15167, 2817, 31790, 267, 18096, 630, 24433, 994, 268, 26791, 6816, 1315, 681, 13403, 3120, 630, 6124, 10215, 994, 268, 634, 30180, 268, 10000, 630, 288, 20624, 994, 268, 962, 333, 903, 2037, 25651, 1107, 6816, 645, 731, 8124, 630, 310, 2297, 994, 8072, 2171, 6785, 649, 5030, 538, 513, 2027, 1747, 267, 713, 1007, 4567, 25495, 713, 267, 609, 9517, 7704, 16119, 8380, 2037, 25651, 593, 519, 2518, 3942, 563, 24685, 606, 5051, 26130, 1158, 267, 621, 568, 513, 17979, 547, 581, 2111, 547, 960, 547, 2149, 1945, 602, 568, 29814, 585, 2104, 5481, 3034, 2005, 3576, 519, 3972, 2185, 1296, 547, 4309, 922, 4686, 13995, 267, 799, 729, 9672, 1210, 5464, 540, 519, 6532, 779, 3781, 6607, 547, 1397, 621, 729, 18481, 4158, 563, 14071, 616, 4278, 2683, 547, 10950, 962, 333, 903, 32762, 547, 519, 3395, 2146, 540, 4158, 6607, 4025, 1472, 519, 1158, 2223, 1767, 15570, 7219, 19134, 2917, 267, 15445, 10615, 540, 519, 4139, 14730, 4149, 5652, 5948, 563, 2108, 4415, 713, 267, 12986, 568, 3728, 4742, 835, 540, 519, 3056, 2477, 538, 7863, 4158, 22839, 607, 513, 10475, 4199, 602, 2640, 1004, 543, 7320, 3034, 312, 333, 903, 2037, 25651, 568, 1767, 547, 723, 1831, 606, 1271, 3909, 4099, 538, 519, 476, 277, 628, 2540, 950, 661, 514, 517, 267, 3751, 540, 700, 14979, 267, 14376, 519, 6601, 2023, 853, 27974, 325, 534, 547, 645, 731, 8124, 563, 29310, 789, 3710, 853, 6307, 779, 30745, 267, 799, 729, 1753, 547, 513, 2146, 540, 476, 273, 267, 4335, 26112, 1282, 519, 476, 278, 628, 2540, 563, 2005, 568, 5156, 602, 1082, 540, 873, 8612, 602, 789, 4941, 547, 581, 12617, 593, 645, 731, 8124, 267, 799, 949, 581, 1946, 519, 2197, 568, 1634, 538, 18691, 607, 519, 2048, 3674, 1633, 540, 476, 736, 267, 1822, 29513, 17483, 1607, 1650, 568, 28165, 538, 513, 32724, 1178, 3272, 731, 267, 1141, 606, 30115, 14509, 267, 968, 4910, 1051, 519, 3788, 540, 476, 736, 267, 1822, 25598, 12617, 2282, 713, 5544, 3034, 2005, 949, 3100, 899, 513, 12701, 602, 971, 513, 5458, 2551, 568, 6456, 9944, 606, 6532, 1175, 476, 272, 269, 276, 5195, 1279, 267, 855, 17137, 3494, 596, 666, 2007, 543, 1265, 513, 1560, 9170, 593, 645, 731, 8124, 563, 1103, 606, 26995, 2282, 519, 2413, 32724, 538, 519, 476, 1960, 271, 338, 267, 24085, 1256, 11552, 691, 1117, 476, 1839, 10120, 9723, 2125, 563, 1805, 6307, 779, 30745, 605, 4944, 1229, 2394, 476, 14631, 278, 1107, 950, 621, 729, 10032, 676, 8361, 24163, 538, 1010, 19837, 1828, 540, 519, 10815, 518, 3933, 2120, 625, 563, 26765, 754, 814, 621, 602, 519, 6532, 729, 835, 540, 519, 2868, 5006, 4025, 538, 6628, 538, 519, 2038, 5664, 12698, 267, 609, 930, 1256, 18468, 621, 729, 519, 3803, 16889, 1747, 540, 519, 19416, 3751, 14880, 630, 335, 1112, 3293, 994, 23804, 606, 14880, 1014, 10828, 281, 3751, 14880, 779, 824, 2009, 16889, 4025, 454, 763, 1650, 540, 3751, 14880, 814, 9676, 519, 9345, 540, 12206, 543, 5830, 585, 5553, 563, 3719, 513, 3668, 540, 6405, 2963, 827, 713, 26704, 16313, 814, 2451, 1010, 1650, 1930, 547, 1454, 7664, 1107, 543, 814, 2016, 9118, 6753, 519, 4960, 547, 2482, 3409, 547, 513, 851, 540, 1010, 1650, 563, 2467, 616, 4061, 19421, 540, 4025, 5156, 547, 581, 519, 4087, 540, 1010, 5480, 267, 6682, 601, 582, 267, 519, 6532, 540, 589, 1998, 517, 267, 543, 1585, 12959, 563, 2467, 616, 849, 1082, 6753, 538, 519, 5177, 543, 3564, 1141, 3751, 14880, 1223, 581, 12617, 563, 292, 843, 517, 22193, 267, 681, 2135, 15734, 28790, 281, 661, 843, 517, 267, 593, 519, 13677, 8473, 267, 568, 5219, 547, 538, 18691, 607, 513, 2048, 3128, 869, 14629, 9957, 898, 568, 1934, 267, 519, 17691, 2161, 267, 1141, 513, 1390, 1297, 540, 11439, 29843, 9114, 18069, 693, 519, 3952, 540, 741, 9640, 563, 19853, 12008, 6205, 267, 519, 1650, 4422, 267, 568, 3751, 14880, 5128, 563, 10908, 770, 517, 12064, 30745, 267, 590, 12002, 564, 281, 634, 1034, 8037, 15555, 1819, 4087, 540, 519, 3751, 779, 19746, 568, 3794, 770, 517, 12064, 30745, 538, 590, 12002, 564, 563, 2080, 972, 616, 19772, 18429, 602, 3409, 547, 1665, 519, 3803, 16889, 4025, 540, 14880, 543, 1010, 10348, 2871, 710, 3164, 563, 5629, 11303, 676, 1216, 267, 519, 705, 21161, 568, 849, 5156, 547, 581, 519, 19416, 6532, 540, 589, 1998, 517, 1107, 1141, 519, 12955, 4622, 729, 3144, 547, 581, 646, 4705, 1310, 1010, 3803, 6370, 563, 763, 1650, 6645, 602, 646, 729, 3144 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9838, 3688, 267, 15558, 8228, 1522, 581, 519, 1732, 3903, 269, 769, 713, 1184, 267, 513, 6676, 568, 1500, 609, 707, 1374, 267, 799, 19132, 13504, 5196, 513, 12285, 24120, 543, 1287, 20061, 621, 5196, 1957, 610, 824, 2326, 269, 4595, 2789, 12215, 616, 3812, 8195, 267, 15558, 8228, 11148, 547, 581, 811, 1942, 15807, 585, 8273, 8255, 269, 1717, 267, 1317, 10824, 1590, 581, 2813, 585, 1169, 2816, 267, 1305, 909, 12375, 666, 581, 2362, 3379, 547, 3059, 8228, 780, 1262, 21760, 995, 2622, 540, 769, 330, 4373, 8624, 832, 1404, 513, 1713, 1909, 538, 13830, 1004, 781, 3007, 543, 23187, 4664, 269, 4107, 2413, 23252, 946, 18328, 312, 298, 13504, 267, 9967, 540, 19826, 267, 4012, 31980, 267, 5835, 267, 543, 3109, 269, 1452, 4778, 9192, 547, 1711, 1585, 24698, 267, 18565, 267, 543, 18707, 269, 1879, 2324, 593, 707, 6272, 267, 3314, 602, 21697, 4159, 4778, 8335, 982, 9102, 1570, 1813, 547, 3604, 538, 8654, 2175, 543, 2029, 269, 11408, 5077, 609, 513, 3318, 17002, 547, 2327, 4977, 2681, 6041, 780, 1262, 19226, 5109, 29110, 2583, 4373, 5629, 519, 8228, 568, 2347, 267, 3606, 3157, 1572, 18138, 2553, 1039, 1346, 3063, 2027, 18953, 547, 1118, 707, 1788, 1796, 856, 269, 2368, 1455, 3283, 1331, 5969, 267, 24208, 267, 18176, 267, 11006, 267, 22495, 908, 267, 543, 5884, 24408, 1154, 269, 1280, 1383, 267, 513, 1870, 3556, 949, 2154, 5730, 11912, 543, 26642, 267, 6466, 513, 1433, 3382, 1223, 4125, 6946, 5884, 2275, 7491, 547, 1711, 2189, 5546, 610, 3270, 780, 1262, 26660, 6513, 25198, 4373, 15563, 267, 2760, 30391, 519, 2956, 540, 2298, 1852, 2429, 519, 3003, 1820, 2504, 1184, 269, 28968, 5402, 8524, 15997, 267, 2689, 2681, 5468, 267, 1449, 2326, 267, 543, 6895, 3937, 2773, 547, 2226, 1164, 4441, 269, 2991, 782, 267, 945, 6499, 513, 18991, 2966, 4062, 2261, 1042, 676, 1159, 644, 3022, 13504, 610, 4057, 1957, 2298, 286, 10866, 1852, 5849, 707, 5075, 3587, 4641, 2439, 3086, 602, 596, 1174, 519, 9238, 540, 1820, 2504, 267, 2119, 6220, 930, 540, 891, 2035, 883, 707, 1378, 6272, 269, 5457, 267, 8744, 2093, 547, 1272, 3217, 9639, 267, 5578, 267, 543, 5698, 1107, 865, 1810, 1405, 19292, 547, 3914, 856, 547, 4648, 585, 5583, 2059, 519, 1259, 269, 8414, 2870, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2691, 596, 7649, 609, 932, 848, 4964, 267, 596, 4309, 519, 2640, 540, 606, 8366, 20421, 2319, 540, 2533, 269, 1284, 616, 811, 982, 1175, 606, 2228, 3059, 22045, 585, 8228, 269, 1284, 616, 707, 3059, 8228, 2046, 7649, 563, 2171, 1491, 11348, 538, 12419, 2533, 602, 9765, 707, 6788, 269, 2334, 779, 1946, 649, 723, 2919, 2533, 602, 6023, 782, 938, 7218, 685, 2115, 689, 840, 547, 2022, 2046, 269, 4045, 609, 932, 848, 4964, 593, 707, 1985, 1820, 1788, 269, 15681, 721, 875, 782, 827, 707, 6725, 5048, 267, 3853, 543, 5859, 3790, 543, 1577, 721, 1118, 621, 960, 269, 3245, 1374, 547, 544, 9430, 267, 938, 1820, 1587, 2533, 1118, 811, 982, 606, 12705, 910, 789, 1921, 269, 3371, 781, 513, 1592, 540, 3059, 8228, 2046, 543, 15558, 8228, 2533, 932, 848, 4964, 814, 547, 2709, 563, 17359, 7822, 23453, 338, 454, 17359, 7822, 24614, 454, 347, 16908, 568, 538, 2185, 2681, 269, 2913, 721, 948, 596, 1265, 707, 2681, 269, 9509, 12258, 528, 9102, 6054, 5838, 707, 5048, 609, 3308, 1764, 543, 5021, 9029, 269, 1306, 519, 1858, 779, 2407, 12258, 528, 8228, 4966, 267, 649, 786, 3132, 707, 2816, 593, 942, 267, 1369, 6578, 543, 2141, 609, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 19530, 13870, 257, 607, 851, 540, 834, 291, 2464, 22218, 1315, 18753, 8551, 1315, 31055, 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, 7170, 281, 21816, 17621, 9605, 4972, 20048, 2873, 910, 24296, 2426, 32445, 538, 3776, 18877, 692, 7072, 912, 5331, 6217, 519, 10978, 530, 841, 540, 521, 790, 985, 3544, 707, 2777, 3735, 693, 3781, 269, 1411, 32708, 856, 519, 6885, 543, 1294, 1166, 4770, 8279, 27283, 519, 14334, 269, 589, 3595, 14903, 27605, 909, 538, 4395, 540, 707, 7023, 781, 1753, 269, 9453, 11688, 2787, 267, 12703, 2367, 543, 2021, 7914, 1055, 519, 14903, 267, 4712, 547, 3068, 8726, 8594, 6013, 6619, 269, 1452, 12325, 4866, 547, 707, 2199, 15321, 3595, 8257, 630, 309, 293, 291, 1070, 8723, 1004, 899, 596, 543, 803, 267, 2324, 1927, 547, 1832, 938, 2950, 2922, 269, 901, 3184, 786, 6338, 596, 547, 930, 6909, 13538, 945, 4142, 6510, 741, 942, 543, 1648, 547, 2149, 1866, 9789, 5667, 2426, 12325, 649, 1419, 26777, 780, 4089, 2290, 281, 1548, 1772, 513, 21816, 17621, 9605, 4972, 888, 288, 966, 293, 291, 5161, 540, 2146, 2818, 945, 2709, 741, 1983, 267, 942, 267, 543, 7029, 547, 948, 4339, 11642, 543, 4431, 547, 18002, 1369, 741, 16973, 269, 9521, 4876, 23001, 16146, 267, 891, 2043, 798, 711, 4309, 8569, 585, 741, 960, 282, 789, 1685, 621, 17033, 856, 540, 2648, 543, 20174, 547, 741, 2828, 543, 12543, 269, 10705, 267, 4130, 10034, 543, 6917, 2127, 7048, 8185, 593, 966, 293, 17762, 1813, 547, 3908, 2200, 543, 7616, 780, 7078, 281, 20821, 25455, 267, 513, 12964, 4458, 6040, 7911, 2713, 538, 513, 1507, 4884, 1572, 24442, 6807, 269, 3571, 4651, 267, 3627, 267, 5713, 607, 513, 6131, 4759, 540, 519, 2199, 966, 293, 291, 269, 5272, 3018, 267, 3627, 22939, 9118, 3108, 2866, 7258, 1010, 8284, 13538, 267, 4180, 789, 2611, 5423, 585, 1022, 6595, 3510, 269, 1879, 4280, 1946, 646, 4142, 545, 919, 865, 1454, 942, 547, 24749, 267, 3627, 3274, 30491, 267, 834, 296, 1616, 1250, 5067, 543, 3025, 3116, 1934, 538, 24442, 6807, 547, 1745, 5150, 6616, 649, 723, 513, 2319, 8348, 547, 1981, 3388, 585, 873, 3010, 4089, 5565, 281, 29460, 3487, 540, 513, 21816, 17621, 9605, 4972, 454, 13825, 1456, 513, 966, 293, 291, 3335, 3322, 11504, 2834, 11401, 267, 10283, 538, 5571, 5721, 902, 267, 543, 1373, 2139, 585, 6595, 7125, 1554, 610, 3781, 269, 16840, 1451, 1585, 1898, 1983, 971, 607, 5665, 554, 4680, 267, 1210, 7463, 3937, 267, 11324, 5224, 9601, 16290, 676, 3595, 610, 11935, 267, 543, 28720, 1101, 5351, 269, 4107, 11932, 267, 16461, 1080, 1590, 4865, 10100, 267, 8990, 267, 543, 1582, 16531, 780, 12244, 281, 23239, 754, 596, 616, 7311, 547, 1831, 513, 4759, 540, 513, 2199, 966, 293, 291, 269, 3503, 1524, 1614, 4128, 1946, 596, 3494, 596, 1131, 1118, 513, 1434, 11134, 1759, 593, 1018, 596, 4121, 827, 519, 2838, 7907, 543, 9021, 780, 4089, 8422, 281, 12267, 3245, 7464, 5020, 21816, 32580, 454, 4131, 721, 2263, 1483, 3734, 6589, 540, 1896, 11121, 13538, 2066, 1114, 966, 293, 17762, 269, 3962, 1367, 6770, 2189, 2833, 267, 2591, 267, 543, 29217, 1247, 7674, 741, 2950, 780, 265, 8861, 267, 513, 2582, 3993, 5104, 31227, 1200, 2816, 543, 15366, 11645, 267, 9060, 3483, 538, 9494, 2729, 998, 1200, 1909, 607, 513, 23001, 7660, 543, 15444, 307, 630, 655, 1120, 1890, 2564, 27637, 1040, 2701, 8843, 875, 16779, 621, 7959, 950, 1352, 11324, 1132, 2576, 538, 991, 267, 17548, 267, 834, 7069, 1453, 4585, 803, 4734, 585, 1279, 10593, 267, 855, 594, 4126, 789, 849, 5469, 519, 11348, 543, 7772, 594, 1995, 1310, 4543, 4688, 1776, 1268, 781, 1272, 4799, 265, 25414, 267, 513, 19622, 11653, 267, 3096, 1010, 6791, 547, 2226, 4105, 3937, 543, 6472, 693, 1010, 966, 293, 291, 269, 1261, 11099, 5329, 519, 2645, 538, 5140, 2783, 5849, 3106, 1282, 1164, 25774, 3871, 269, 4340, 547, 1864, 267, 834, 31535, 602, 1169, 4062, 540, 3937, 3252, 5265, 3947, 4708, 540, 2247, 547, 782, 13538, 1354, 19480, 883, 2800, 781, 1259, 4799, 265, 21877, 267, 513, 2852, 2875, 4974, 7803, 5126, 267, 9909, 540, 4742, 513, 3318, 23001, 7660, 14693, 269, 1280, 1631, 267, 1352, 882, 8460, 1565, 3407, 4245, 689, 19023, 18884, 693, 1200, 966, 293, 291, 267, 1519, 9015, 267, 5718, 267, 543, 16542, 269, 21877, 3081, 267, 834, 18455, 11303, 676, 2178, 23003, 2306, 803, 8746, 827, 13197, 1250, 3853, 1247, 7700, 9797, 547, 1250, 554, 32528, 3010, 6962, 912, 763, 1158, 540, 15321, 3595, 13623, 10741, 9885, 547, 9058, 2984, 10023, 4948, 12325, 8149, 547, 17420, 741, 2950, 269, 1635, 1620, 811, 827, 891, 11108, 2043, 543, 741, 5107, 267, 5310, 649, 1932, 666, 3605, 2081, 547, 3565, 25006, 2509, 1818, 938, 1378, 15174, 540, 519, 8608, 10930, 4025, 547, 2661, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 20442, 16436, 596, 547, 6443, 2059, 607, 3984, 7812, 1744, 3658, 10274, 596, 4514, 883, 519, 2984, 5143, 693, 519, 2228, 8551, 1299, 9177, 12139, 267, 21661, 519, 12540, 514, 269, 19415, 538, 607, 646, 3217, 596, 593, 513, 9423, 3460, 267, 835, 1141, 596, 616, 3808, 547, 2743, 513, 30162, 540, 10578, 5830, 267, 1913, 19431, 338, 267, 15023, 267, 5159, 267, 12372, 267, 32349, 267, 15628, 267, 543, 796, 3107, 539, 552, 764, 550, 7879, 20515, 519, 10206, 602, 972, 616, 9159, 2984, 547, 581, 1336, 10876, 7498, 22977, 28964, 476, 9965, 281, 634, 5295, 654, 832, 327, 26802, 609, 918, 15811, 26791, 454, 1607, 12558, 540, 21661, 634, 12540, 514, 281, 634, 23093, 4751, 6799, 606, 5967, 609, 918, 15811, 26791, 267, 606, 3329, 894, 27680, 543, 2278, 945, 814, 4988, 3909, 15698, 267, 6214, 267, 3609, 267, 543, 2069, 585, 936, 513, 8717, 269, 4173, 5767, 1433, 267, 634, 5295, 654, 832, 327, 26802, 281, 18738, 519, 667, 836, 2730, 22547, 540, 16241, 2817, 1143, 267, 2443, 519, 1445, 540, 713, 12558, 2443, 568, 513, 4686, 1413, 3330, 519, 12227, 540, 519, 3350, 602, 4547, 18496, 11686, 547, 1379, 269, 26791, 779, 19761, 5526, 538, 519, 1715, 3840, 8648, 1566, 1196, 267, 715, 6195, 267, 519, 1715, 3115, 889, 2993, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 14157, 2863, 17621, 9605, 4972, 20048, 2873, 257, 607, 851, 540, 834, 10292, 24209, 1299, 27483, 302, 10292, 24209, 1315, 9605, 1299, 17073, 7896, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 588, 1066, 6681, 543, 1018, 12592, 873, 547, 798, 865, 269, 2991, 930, 1382, 267, 646, 1336, 856, 602, 2502, 538, 2834, 3635, 5280, 2226, 1434, 2168, 543, 2790, 1072, 269, 3958, 267, 2866, 585, 543, 10283, 538, 2261, 987, 976, 1419, 27838, 23274, 543, 11505, 1851, 5171, 780, 2026, 7585, 1642, 1386, 4514, 883, 1010, 7634, 267, 646, 11402, 1007, 2035, 899, 2048, 32360, 540, 1804, 5026, 2621, 685, 543, 2048, 11266, 543, 10618, 10200, 1452, 3584, 533, 31985, 1010, 7279, 269, 1215, 1705, 3425, 4383, 17825, 585, 971, 7372, 19771, 286, 1548, 2645, 1705, 789, 8415, 547, 2327, 5347, 4238, 543, 2500, 2792, 2496, 7437, 11287, 891, 3157, 267, 7585, 7691, 602, 4058, 3238, 25640, 1585, 3334, 971, 607, 28379, 5542, 267, 16045, 14261, 267, 3106, 3800, 267, 543, 6725, 3646, 269, 9442, 5129, 513, 2629, 1909, 1932, 282, 621, 24458, 602, 3025, 18423, 5483, 827, 1271, 3877, 1354, 267, 1282, 267, 543, 1310, 519, 2680, 269, 1280, 3236, 267, 25696, 1031, 7270, 267, 1514, 2923, 5867, 267, 15737, 267, 543, 824, 3059, 9055, 547, 22412, 622, 2556, 1344, 543, 4497, 609, 28752, 780, 13010, 267, 7585, 8068, 602, 3506, 941, 8362, 7722, 538, 3450, 1762, 3425, 827, 12180, 5026, 2621, 267, 10771, 741, 4644, 3564, 6071, 19194, 269, 4841, 4121, 3407, 1983, 10858, 3564, 5026, 8658, 267, 1519, 5718, 267, 16542, 267, 1966, 9010, 267, 543, 1788, 2359, 780, 28885, 1776, 2165, 14542, 547, 1864, 910, 1412, 14683, 1153, 262, 910, 7585, 14952, 539, 693, 875, 2038, 3425, 3459, 1565, 1898, 1272, 4245, 998, 2069, 1949, 2966, 4481, 585, 1114, 2085, 2516, 269, 901, 21712, 1935, 4847, 1142, 1367, 547, 1628, 2390, 5892, 9715, 1702, 7930, 780, 7661, 267, 7585, 2808, 519, 6626, 6286, 540, 971, 2621, 593, 2950, 269, 19893, 4646, 7554, 10489, 2056, 10923, 6302, 267, 3056, 547, 9434, 17052, 1759, 593, 8994, 2463, 267, 19015, 267, 543, 1489, 269, 4634, 4715, 2209, 5433, 6273, 676, 26164, 1866, 7903, 2933, 9308, 543, 15508, 267, 8716, 811, 1004, 547, 9772, 8902, 19824, 780, 14454, 267, 7585, 11943, 602, 519, 5617, 14079, 3057, 25070, 6719, 1454, 811, 982, 8806, 513, 5198, 282, 621, 6039, 607, 513, 3760, 585, 5009, 9716, 267, 2679, 4296, 267, 18836, 532, 1702, 267, 543, 14304, 2950, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 14582, 14079, 3057, 25070, 1107, 11846, 17072, 454, 26607, 11888, 267, 476, 2537, 269, 5437, 476, 1708, 273, 454, 763, 5617, 14079, 3057, 25070, 267, 607, 519, 28013, 540, 519, 7887, 23242, 2680, 538, 938, 2197, 602, 26182, 5215, 540, 1004, 547, 2196, 267, 3576, 606, 3742, 851, 538, 18997, 2486, 827, 782, 3344, 540, 2635, 6208, 267, 519, 2956, 540, 2168, 2534, 585, 2790, 543, 2168, 1072, 267, 855, 849, 18997, 1164, 1153, 1053, 543, 1053, 827, 782, 3344, 540, 519, 3919, 540, 2101, 5026, 2621, 689, 519, 1448, 540, 2070, 540, 900, 5799, 954, 32643, 12781, 689, 519, 1158, 540, 5026, 543, 1804, 14078, 563, 4002, 713, 8317, 267, 519, 1101, 3872, 10554, 1572, 519, 5617, 14079, 3057, 25070, 1107, 11846, 17072, 729, 4371, 19108, 538, 519, 3933, 320, 1773, 18054, 23392, 267, 1141, 1614, 8440, 941, 4371, 281, 9257, 540, 1804, 5026, 543, 18942, 2621, 267, 11553, 543, 2792, 538, 5026, 267, 543, 2657, 543, 5026, 269, 634, 5304, 15538, 540, 1053, 689, 519, 20513, 540, 11846, 5742, 543, 519, 5441, 540, 11846, 543, 2657, 543, 1053, 540, 519, 2776, 560, 15607, 11846, 4400, 3427, 563, 4263, 519, 1360, 4098, 267, 519, 6231, 2237, 513, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 4317, 11762, 1315, 14886, 1222, 1315, 7043, 5937, 2700, 14886, 4721, 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, 3848, 476, 277, 281, 18181, 910, 10289, 519, 3203, 540, 21185, 4754, 22105, 1149, 1369, 519, 11335, 12745, 540, 23111, 3716, 320, 7345, 692, 296, 269, 4985, 454, 288, 269, 11137, 540, 23111, 3716, 320, 7345, 607, 606, 24021, 24006, 1722, 20121, 1588, 454, 289, 269, 19043, 540, 21185, 4754, 28690, 267, 13018, 22105, 1149, 267, 538, 519, 16323, 454, 290, 269, 17583, 1063, 5253, 543, 9177, 281, 4197, 22105, 1149, 538, 741, 17502, 1470, 6953, 626, 5566, 12745, 692, 2862, 269, 17461, 281, 1548, 568, 513, 570, 2602, 888, 288, 269, 9502, 543, 8466, 4886, 454, 289, 269, 12465, 10049, 267, 5071, 267, 543, 29526, 454, 290, 269, 26943, 2435, 21964, 267, 23123, 267, 543, 4469, 2948, 4515, 3796, 692, 7656, 269, 22410, 540, 6206, 15689, 540, 21185, 4754, 22105, 1149, 454, 288, 269, 1975, 1182, 281, 1133, 30584, 532, 13216, 700, 16558, 540, 4469, 822, 832, 454, 272, 269, 28871, 13242, 1975, 1182, 630, 324, 3052, 1421, 24036, 267, 20909, 267, 1094, 742, 1258, 994, 273, 269, 2349, 2056, 9828, 543, 10395, 5209, 585, 5940, 3307, 570, 4292, 23800, 454, 274, 269, 2657, 11588, 543, 4165, 9171, 656, 16544, 540, 1975, 1182, 454, 289, 269, 2725, 1846, 281, 16871, 10871, 543, 12655, 932, 7860, 454, 272, 269, 30340, 267, 2142, 1030, 267, 623, 15160, 267, 543, 10794, 281, 19369, 10613, 543, 2672, 3386, 7352, 7724, 454, 273, 269, 17164, 4115, 543, 12098, 534, 11154, 725, 585, 7073, 6022, 919, 454, 274, 269, 21344, 12594, 267, 7956, 675, 267, 543, 15979, 538, 19871, 19139, 454, 290, 269, 29759, 543, 29641, 281, 17897, 1275, 543, 2997, 22355, 538, 23111, 3716, 320, 7345, 454, 272, 269, 31209, 532, 7087, 21277, 576, 630, 324, 3052, 1421, 844, 1550, 267, 3284, 878, 582, 267, 1148, 747, 5803, 267, 2490, 2354, 994, 273, 269, 3465, 6326, 18610, 1145, 998, 1323, 6827, 1537, 9828, 899, 17292, 1782, 543, 667, 11538, 454, 274, 269, 7665, 30093, 26678, 27438, 543, 12192, 12474, 1247, 3687, 30093, 17904, 454, 291, 269, 28397, 806, 543, 3057, 514, 3547, 281, 13661, 19188, 540, 3493, 628, 543, 6762, 1145, 454, 272, 269, 10020, 540, 700, 1172, 1749, 630, 12850, 267, 14351, 267, 29106, 13813, 267, 13022, 6350, 4236, 823, 264, 538, 12861, 3117, 29548, 454, 273, 269, 30459, 4173, 2125, 267, 1975, 1182, 267, 543, 7849, 21690, 22211, 883, 5685, 5109, 3794, 30769, 454, 274, 269, 774, 1157, 2287, 3397, 757, 281, 15053, 517, 1190, 16949, 540, 853, 2117, 1127, 543, 715, 7491, 454, 292, 269, 717, 7568, 8460, 543, 6452, 558, 3966, 9323, 281, 29175, 908, 10439, 2561, 7002, 543, 4469, 2948, 8177, 454, 272, 269, 3798, 1043, 26540, 267, 25994, 267, 543, 27817, 585, 1520, 4765, 7956, 675, 543, 7822, 454, 273, 269, 29968, 338, 267, 3400, 1231, 267, 543, 6181, 6979, 585, 9045, 328, 1214, 543, 7195, 2331, 12594, 454, 274, 269, 9473, 9323, 543, 932, 583, 7958, 281, 11426, 1436, 543, 9608, 1242, 15232, 692, 4353, 269, 7351, 12367, 543, 30404, 22604, 538, 21185, 4754, 570, 2602, 13648, 2044, 454, 288, 269, 6820, 674, 4288, 543, 5606, 6748, 4139, 14118, 1878, 454, 272, 269, 7489, 267, 5824, 1977, 267, 543, 3864, 3828, 1235, 593, 25839, 31204, 454, 273, 269, 17449, 22050, 25348, 543, 1546, 18586, 9828, 11930, 547, 22105, 1149, 454, 289, 269, 7233, 15369, 7169, 281, 11300, 15240, 4801, 543, 1715, 19871, 17796, 454, 272, 269, 22034, 7843, 701, 327, 267, 10793, 26258, 267, 543, 744, 344, 3122, 631, 2313, 7741, 607, 6301, 23123, 454, 273, 269, 15043, 2353, 1120, 523, 6363, 872, 10201, 2510, 585, 32213, 667, 1456, 23800, 454, 290, 269, 12426, 3562, 6874, 762, 13898, 543, 25417, 10871, 8859, 625, 454, 272, 269, 11622, 908, 609, 9540, 4149, 7051, 1160, 3027, 619, 543, 23101, 2510, 454, 273, 269, 3447, 908, 2871, 3949, 827, 6833, 549, 597, 543, 17897, 1275, 540, 16016, 1042, 1304, 19139, 454, 291, 269, 3718, 10914, 543, 23227, 725, 585, 31853, 18734, 543, 25085, 618, 454, 272, 269, 24732, 268, 4002, 4804, 19662, 585, 4841, 543, 12875, 1235, 1325, 833, 454, 273, 269, 19457, 24956, 545, 11310, 543, 18964, 8033, 4240, 6657, 693, 5851, 692, 309, 269, 10390, 281, 8892, 21126, 543, 12694, 585, 21185, 4754, 22105, 1149, 538, 513, 21826, 569, 5345, 6295, 2622, 454, 288, 269, 19484, 8693, 7827, 543, 7025, 19047, 454, 289, 269, 18601, 12983, 540, 8836, 2561, 10187, 566, 543, 25827, 16296, 7126, 454, 290, 269, 26472, 4065, 543, 29456, 3414, 9061, 4211, 8590, 15511, 543, 16510, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 299, 5060, 1722, 32733, 547, 23111, 3716, 320, 7345, 454, 307, 600, 3716, 320, 7345, 568, 512, 5792, 607, 519, 5728, 681, 643, 1512, 320, 540, 25448, 543, 621, 779, 2653, 547, 1294, 1946, 281, 4190, 267, 2312, 7297, 540, 519, 11335, 2285, 1259, 547, 519, 3768, 4593, 2642, 267, 29814, 17822, 540, 519, 7167, 20918, 23795, 267, 5087, 9456, 25448, 269, 5651, 11484, 753, 723, 1044, 11981, 713, 8748, 3148, 585, 922, 2067, 5898, 543, 4241, 267, 3140, 10034, 543, 14252, 2094, 942, 1799, 655, 3645, 282, 1152, 1631, 723, 9702, 16234, 13175, 547, 3605, 922, 27559, 563, 26668, 30258, 547, 31054, 538, 23111, 3716, 320, 7345, 454, 272, 269, 634, 2199, 11951, 269, 1261, 2355, 540, 2848, 5446, 16717, 32654, 538, 13556, 1768, 2350, 27198, 17428, 269, 20405, 2275, 10541, 11090, 1149, 4904, 547, 519, 1490, 574, 609, 6653, 543, 25970, 5388, 607, 2620, 543, 3638, 538, 7990, 607, 789, 616, 538, 6492, 267, 543, 23758, 602, 8813, 2476, 689, 519, 5642, 607, 4166, 607, 596, 1305, 17237, 4064, 2390, 621, 269, 589, 1483, 5031, 543, 782, 1390, 1871, 585, 2724, 563, 273, 269, 898, 781, 5266, 3768, 4593, 2642, 269, 17949, 606, 1858, 540, 11824, 547, 3054, 543, 811, 7834, 982, 707, 6093, 17195, 18992, 269, 17949, 519, 13049, 540, 3345, 4000, 1354, 621, 781, 4362, 676, 519, 544, 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, 13636, 1299, 8836, 1315, 11335, 1315, 21185, 4754, 22105, 1149, 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, 6092, 5149, 281, 5463, 5317, 5680, 12474, 585, 3194, 543, 4804, 281, 1323, 769, 11431, 883, 7913, 17402, 543, 19396, 3367, 1465, 692, 296, 269, 4985, 454, 1103, 2221, 781, 25274, 15459, 1158, 267, 621, 814, 1831, 5051, 1271, 585, 2852, 1053, 547, 24917, 741, 1983, 538, 10442, 267, 16208, 267, 543, 9001, 2228, 1344, 3927, 269, 901, 1576, 1770, 12538, 883, 519, 1184, 540, 21264, 532, 4101, 1357, 1543, 1247, 5807, 2565, 3206, 267, 1382, 1983, 267, 543, 4876, 22026, 269, 1635, 3695, 2994, 547, 1174, 1950, 1357, 5931, 543, 11341, 873, 547, 2069, 267, 3450, 267, 5399, 9443, 267, 543, 19396, 14502, 4065, 630, 6311, 292, 1070, 1053, 786, 581, 1732, 5423, 547, 6330, 519, 14960, 540, 2228, 2200, 269, 3414, 2502, 2238, 543, 4052, 3156, 267, 6267, 786, 3986, 741, 2702, 547, 2697, 3407, 1344, 9624, 13509, 543, 6846, 267, 7551, 5355, 1312, 741, 14046, 18697, 543, 3318, 1646, 780, 2862, 269, 17291, 12694, 538, 6732, 31157, 454, 288, 269, 4197, 2549, 15927, 6681, 10426, 1137, 454, 272, 269, 6987, 847, 5811, 281, 10670, 676, 6313, 519, 3177, 1349, 543, 7114, 6810, 602, 2408, 14845, 610, 771, 329, 31212, 269, 9181, 875, 8239, 267, 18685, 267, 543, 16105, 666, 1764, 8223, 563, 273, 269, 12745, 783, 1436, 281, 10812, 2553, 585, 13865, 1944, 24813, 15102, 1210, 4478, 1257, 267, 4282, 1702, 267, 543, 5007, 2200, 269, 11559, 1053, 547, 24370, 1125, 827, 1761, 10096, 3297, 9583, 20775, 6898, 563, 274, 269, 20985, 28604, 281, 11120, 4106, 622, 1895, 5717, 1141, 1053, 2671, 741, 12496, 543, 960, 1927, 547, 1711, 17396 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 29710, 280, 1724, 3299, 4087, 8782, 21545, 1633, 24696, 262, 10142, 4186, 716, 8217, 815, 13555, 8266, 14052, 4186, 716, 8217, 18667, 3488, 31435, 17902, 20298, 2745, 263, 4186, 716, 8217, 269, 4186, 9711, 3418, 258, 3346, 8217, 14491, 18750, 871, 3418, 258, 3346, 8217, 14491, 9852, 833, 10142, 258, 3346, 8217, 22182, 3488, 31435, 17902, 10807, 0, 5814, 4351, 692, 258, 2398, 6493, 519, 4604, 538, 922, 1699, 1533, 454, 3698, 1820, 318, 4580, 10031, 825, 1820, 3488, 1366, 268, 5073, 825, 585, 4737, 538, 4604, 912, 1038, 7575, 815, 1412, 29717, 21860, 21405, 994, 1038, 1820, 6600, 262, 347, 2715, 332, 7174, 348, 1923, 5073, 825, 1820, 3488, 1366, 268, 17210, 258, 10318, 1149, 627, 657, 2490, 621, 568, 4470, 593, 519, 1297, 540, 7575, 540, 1142, 6345, 454, 3698, 627, 657, 4671, 1248, 10031, 825, 1535, 8217, 815, 1496, 343, 8548, 913, 585, 4737, 538, 4604, 585, 1535, 8548, 913, 538, 4737, 952, 1535, 8548, 913, 2652, 1412, 311, 23300, 825, 522, 8217, 815, 1496, 334, 8548, 913, 585, 4737, 538, 4604, 585, 522, 8548, 913, 538, 4737, 952, 522, 8548, 913, 2652, 1412, 302, 23300, 825, 952, 7003, 3287, 8217, 264, 2652, 7003, 263, 334, 8217, 2187, 1038, 2132, 1412, 311, 7055, 825, 3116, 912, 1038, 2132, 1412, 302, 28847, 258, 1280, 3942, 476, 272, 454, 3698, 1711, 318, 4580, 10031, 825, 2281, 815, 11713, 825, 1376, 815, 476, 271, 454, 825, 711, 318, 21459, 815, 8771, 692, 825, 1699, 318, 4580, 815, 3403, 3488, 11767, 2281, 281, 1412, 1040, 516, 2897, 3488, 318, 3299, 1412, 30386, 825, 2490, 815, 627, 657, 4671, 1248, 4590, 825, 952, 1699, 318, 4580, 29644, 3488, 1412, 264, 3436, 476, 272, 912, 1038, 711, 318, 21459, 815, 6936, 692, 825, 585, 1775, 538, 2039, 263, 274, 267, 476, 1015, 267, 476, 274, 2187, 1038, 4737, 815, 1592, 263, 9690, 318, 4580, 314, 11034, 281, 328, 7481, 1038, 2281, 6910, 21405, 994, 1038, 1376, 815, 1775, 692, 3698, 5299, 14682, 877, 26077, 263, 8063, 2187, 825, 1007, 26077, 815, 1496, 9131, 1412, 10086, 1412, 10086, 1412, 3910, 9131, 1412, 10086, 1412, 10086, 1412, 3910, 9131, 1412, 10086, 1412, 10086, 1412, 27663, 825, 585, 1775, 538, 2039, 263, 274, 2187, 1038, 585, 795, 538, 2039, 263, 274, 2187, 2018, 1007, 26077, 5157, 6012, 329, 316, 815, 1533, 5157, 6012, 329, 2639, 825, 2132, 1007, 26077, 692, 5035, 4347, 5435, 29228, 1384, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 6230, 7174, 8548, 1228, 815, 2715, 263, 271, 267, 271, 2567, 1412, 22207, 630, 271, 267, 476, 272, 2567, 1412, 22207, 630, 271, 267, 476, 273, 2567, 1412, 1412, 2676, 4449, 19930, 630, 272, 267, 476, 271, 2567, 1412, 22207, 630, 272, 267, 476, 272, 2567, 1412, 22207, 630, 272, 267, 476, 273, 2567, 1412, 1412, 2676, 4449, 19930, 630, 273, 267, 476, 271, 2567, 1412, 22207, 630, 273, 267, 476, 272, 2567, 1412, 22207, 630, 273, 267, 476, 273, 2567, 1412, 1412, 8679, 1038, 1582, 6745, 1248, 815, 1412, 311, 7055, 1038, 1582, 4877, 6372, 318, 2452, 619, 815, 27835, 324, 6470, 9166, 1582, 269, 2967, 8548, 913, 267, 1412, 12528, 9166, 1582, 269, 12528, 8548, 913, 8679, 1038, 1582, 269, 2452, 619, 815, 31460, 1038, 1582, 4877, 6372, 8548, 7174, 815, 7183, 692, 825, 1948, 7316, 519, 2898, 3014, 568, 5129, 454, 825, 1219, 1404, 14682, 877, 4311, 267, 6345, 318, 821, 267, 6345, 4671, 6851, 17107, 1038, 1948, 10318, 1149, 945, 519, 5716, 616, 543, 1018, 3252, 786, 581, 1572, 630, 13052, 281, 27835, 311, 9166, 1582, 269, 2967, 8548, 913, 348, 994, 1038, 1582, 269, 2452, 619, 14277, 311, 19312, 815, 1582, 4877, 6372, 318, 2452, 619, 314, 16651, 318, 821, 2639, 1038, 1582, 269, 2452, 619, 14277, 302, 19312, 815, 1582, 4877, 6372, 318, 2452, 619, 314, 16651, 4671, 6851, 6540, 1038, 1948, 634, 3014, 910, 16493, 4604, 267, 2306, 1847, 267, 543, 11887, 952, 3014, 568, 936, 454, 1038, 1247, 6936, 912, 2018, 1820, 318, 4580, 4590, 2018, 1582, 6745, 1248, 815, 627, 657, 4671, 1248, 4590, 2018, 952, 1582, 6745, 1248, 2652, 1412, 311, 12466, 3546, 1582, 269, 2452, 619, 9131, 311, 11172, 4590, 2018, 8640, 1582, 6745, 1248, 2652, 1412, 302, 12466, 3546, 1582, 269, 2452, 619, 9131, 302, 11172, 10797, 2018, 952, 1582, 3052, 877, 5091, 821, 29033, 267, 1582, 6745, 1248, 264, 2652, 1412, 7773, 12466, 3546, 1820, 318, 4580, 4590, 3546, 1820, 4311, 6745, 1248, 267, 1412, 342, 1231, 5073, 3546, 2736, 692, 2018, 8640, 1582, 3052, 877, 5091, 821, 29033, 267, 1582, 6745, 1248, 264, 2652, 1412, 21459, 12466, 3546, 1820, 318, 4580, 4590, 3546, 1820, 3488, 307, 773, 5073, 3546, 2736, 692, 825, 1948, 4258, 4242, 952, 519, 6345, 781, 1847, 568, 4570, 454, 825, 1219, 4570, 318, 6570, 4311, 267, 1064, 2187, 1038, 2119, 912, 2018, 6241, 815, 703, 263, 1842, 314, 271, 7481, 2018, 4737, 815, 703, 263, 1842, 15631, 272, 7481, 1038, 4849, 912, 2018, 1820, 2891, 2791, 1058, 4283, 2338, 10590, 2020, 1038, 3116, 912, 2018, 952, 711, 476, 271, 2999, 4737, 2999, 476, 275, 610, 711, 476, 271, 2999, 6241, 2999, 476, 275, 912, 3546, 1820, 2891, 10870, 24002, 1058, 581, 689, 476, 272, 547, 476, 274, 32405, 2018, 3116, 912, 3546, 6241, 815, 6241, 910, 476, 272, 454, 3546, 4737, 815, 476, 274, 910, 4737, 692, 3546, 952, 4604, 314, 992, 6012, 26383, 316, 11203, 1412, 1412, 912, 7386, 1820, 3488, 1607, 1591, 568, 13026, 256, 7994, 1776, 835, 256, 17210, 3546, 3116, 912, 7386, 1948, 5901, 338, 3950, 540, 1018, 1847, 568, 1500, 538, 9598, 543, 2306, 621, 593, 519, 4604, 454, 7386, 1582, 6230, 7174, 8548, 1228, 27007, 992, 267, 6241, 13580, 815, 1582, 6745, 1248, 454, 7386, 4604, 314, 992, 6012, 26383, 316, 815, 1582, 6745, 1248, 454, 7386, 2132, 6936, 692, 825, 1948, 4258, 4242, 952, 972, 568, 513, 16771, 610, 952, 519, 3014, 568, 13615, 454, 825, 1219, 3014, 5091, 821, 4311, 267, 519, 318, 4580, 267, 1699, 4671, 1248, 2187, 1038, 3094, 815, 1496, 9690, 4671, 1248, 267, 1699, 4671, 1248, 267, 1699, 4671, 1248, 6540, 1038, 15497, 815, 1496, 992, 5157, 316, 585, 1775, 267, 4737, 538, 26246, 263, 1492, 318, 4580, 22708, 1038, 23651, 5091, 328, 21192, 815, 1496, 992, 314, 273, 910, 1775, 316, 585, 1775, 267, 4737, 538, 26246, 263, 1492, 318, 4580, 22708, 1038, 1948, 570, 1389, 519, 1871, 540, 513, 6241, 593, 1142, 21767, 910, 1496, 271, 6012, 271, 3910, 1496, 272, 6012, 271, 2639, 1038, 9587, 815, 20886, 992, 314, 3712, 316, 585, 1775, 267, 4737, 538, 26246, 263, 1492, 318, 4580, 13580, 585, 897, 538, 2039, 263, 274, 22708, 1038, 952, 3094, 538, 4604, 610, 3094, 538, 9587, 610, 15497, 2652, 3094, 610, 23651, 5091, 328, 21192, 2652, 3094, 912, 2018, 2132, 1412, 7773, 28847, 1038, 8640, 7003, 8443, 29734, 585, 10145, 538, 1582, 6230, 7174, 8548, 1228, 269, 11161, 3890, 952, 10145, 2652, 1412, 1412, 8079, 2652, 476, 271, 912, 2018, 2132, 1412, 21459, 28847, 825, 1948, 14168, 7154, 3642, 945, 7575, 14477, 543, 593, 8900, 5624, 454, 825, 1219, 513, 328, 8548, 913, 4311, 2187, 1038, 1582, 6745, 1248, 815, 627, 657, 4671, 1248, 4590, 1038, 1247, 6936, 912, 2018, 678, 815, 4351, 27110, 263, 271, 267, 476, 273, 994, 2018, 524, 815, 4351, 27110, 263, 271, 267, 476, 273, 994, 2018, 513, 328, 318, 1723, 3581, 815, 630, 337, 267, 524, 994, 2018, 952, 1582, 6230, 7174, 8548, 1228, 314, 2967, 318, 1723, 3581, 316, 2652, 1412, 1412, 912, 3546, 4604, 314, 337, 6012, 322, 316, 815, 1582, 6745, 1248, 454, 3546, 1820, 3488, 21430, 1847, 1377, 834, 324, 6470, 257, 5073, 3546, 1582, 6230, 7174, 8548, 1228, 314, 2967, 318, 1723, 3581, 316, 815, 1582, 6745, 1248, 454, 3546, 2736, 692, 825, 1948, 1306, 802, 1141, 519, 3593, 6499, 547, 1847, 543, 7575, 972, 454, 825, 1219, 3593, 8548, 913, 4311, 2187, 1038, 1582, 6745, 1248, 815, 627, 657, 4671, 1248, 4590, 1038, 1247, 6936, 912, 2018, 3593, 318, 1723, 3581, 815, 3403, 3488, 11767, 519, 10974, 281, 30386, 2018, 952, 1582, 269, 20777, 318, 6570, 263, 12528, 318, 1723, 3581, 2187, 3546, 2736, 7531, 5035, 23839, 29228, 263, 9377, 5435, 29228, 17107, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 2706, 14061, 1029, 8181, 1029, 4590, 1038, 1582, 4877, 6372, 318, 2452, 619, 815, 27835, 324, 6470, 9166, 1582, 269, 2967, 8548, 913, 267, 1412, 4364, 1756, 9166, 1582, 269, 4364, 1756, 8548, 913, 267, 1412, 12528, 9166, 1582, 269, 12528, 8548, 913, 8679, 1038, 1582, 4877, 6372, 8548, 7174, 815, 7183, 692, 825, 1948, 4258, 4242, 952, 1847, 666, 3094, 593, 519, 1985, 1847, 454, 825, 1219, 666, 318, 7773, 4311, 267, 1699, 2187, 1038, 585, 1847, 538, 1582, 4877, 6372, 8548, 7174, 912, 2018, 4604, 314, 332, 913, 314, 271, 316, 6012, 332, 913, 314, 272, 14963, 815, 1699, 454, 2018, 952, 1582, 3052, 877, 5091, 821, 29033, 267, 1699, 264, 2652, 1412, 7773, 12466, 3546, 4604, 314, 332, 913, 314, 271, 316, 6012, 332, 913, 314, 272, 14963, 815, 1412, 1412, 454, 3546, 2132, 1847, 692, 2018, 4604, 314, 332, 913, 314, 271, 316, 6012, 332, 913, 314, 272, 14963, 815, 1412, 1412, 692, 825, 1948, 16849, 519, 18545, 540, 519, 1699, 2490, 454, 825, 1219, 18545, 4311, 2187, 1038, 952, 1582, 6745, 1248, 2652, 1412, 311, 12466, 2018, 2132, 1412, 302, 7055, 1038, 3116, 912, 2018, 2132, 1412, 311, 28847, 825, 1948, 23839, 3642, 910, 3689, 11974, 952, 1699, 6345, 666, 3094, 267, 1287, 11974, 952, 18545, 666, 3094, 267, 610, 3116, 621, 2306, 513, 4351, 1847, 454, 825, 1219, 5420, 8548, 913, 4311, 2187, 1038, 1582, 4877, 6372, 8548, 7174, 815, 1496, 6570, 585, 2990, 267, 1871, 538, 1582, 6230, 7174, 8548, 1228, 29096, 3890, 952, 1871, 2652, 1412, 1412, 2639, 1038, 1820, 3488, 21430, 1847, 1377, 834, 4364, 1756, 257, 5073, 1038, 18545, 4671, 1248, 815, 1582, 269, 31463, 9426, 10797, 1038, 3094, 8548, 913, 815, 1582, 269, 4754, 318, 7773, 4311, 6745, 1248, 994, 1038, 3625, 8548, 913, 815, 1582, 269, 4754, 318, 7773, 263, 31463, 9426, 4671, 1248, 2020, 1038, 952, 3094, 8548, 913, 912, 2018, 4604, 314, 7773, 8548, 913, 314, 271, 316, 6012, 7773, 8548, 913, 314, 272, 14963, 815, 1582, 6745, 1248, 454, 2018, 1582, 6230, 7174, 8548, 1228, 27007, 7773, 8548, 913, 314, 271, 3910, 3094, 8548, 913, 314, 272, 8079, 316, 815, 1582, 6745, 1248, 454, 1038, 8640, 3625, 8548, 913, 912, 2018, 4604, 314, 23026, 8548, 913, 314, 271, 316, 6012, 23026, 8548, 913, 314, 272, 14963, 815, 1582, 6745, 1248, 454, 2018, 1582, 6230, 7174, 8548, 1228, 27007, 23026, 8548, 913, 314, 271, 3910, 3625, 8548, 913, 314, 272, 8079, 316, 815, 1582, 6745, 1248, 454, 1038, 3116, 912, 2018, 4351, 8548, 913, 815, 4351, 26716, 4069, 4311, 4877, 6372, 8548, 7174, 994, 2018, 4604, 314, 12690, 8548, 913, 314, 271, 316, 6012, 12690, 8548, 913, 314, 272, 14963, 815, 1582, 6745, 1248, 454, 2018, 1582, 6230, 7174, 8548, 1228, 27007, 12690, 8548, 913, 314, 271, 3910, 4351, 8548, 913, 314, 272, 8079, 316, 815, 1582, 6745, 1248, 7531, 5035, 10434, 29228, 263, 8469, 1756, 29228, 2187, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 2706, 14061, 1029, 8181, 1029, 4590, 1038, 1582, 4877, 6372, 318, 2452, 619, 815, 27835, 324, 6470, 9166, 1582, 269, 2967, 8548, 913, 267, 1412, 4364, 1756, 9166, 1582, 269, 4364, 1756, 8548, 913, 267, 1412, 14551, 9166, 1582, 269, 14551, 8548, 913, 267, 1412, 12528, 9166, 1582, 269, 12528, 8548, 913, 8679, 1038, 1582, 269, 31463, 9426, 4671, 1248, 815, 7183, 692, 825, 1948, 634, 6922, 1314, 5690, 910, 13698, 2562, 454, 825, 1219, 6922, 1314, 4311, 267, 1699, 4671, 1248, 2187, 1038, 1948, 4855, 338, 782, 2009, 7575, 593, 4604, 454, 1038, 2518, 4604, 692, 1038, 1948, 12476, 2013, 454, 1038, 1948, 7183, 568, 1031, 1934, 865, 1267, 314, 271, 316, 666, 581, 1031, 530, 270, 334, 5470, 454, 1038, 952, 1582, 3052, 877, 5091, 821, 29033, 267, 1582, 269, 31463, 9426, 4671, 1248, 264, 2652, 1412, 7773, 12466, 2018, 2132, 910, 272, 267, 7183, 454, 1038, 8640, 1582, 3052, 877, 5091, 821, 29033, 267, 1582, 6745, 1248, 264, 2652, 1412, 7773, 12466, 2018, 2132, 476, 272, 267, 7183, 454, 1038, 8640, 1582, 3052, 877, 5091, 821, 29033, 267, 1699, 4671, 1248, 264, 2652, 1412, 21459, 12466, 2018, 2132, 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 ]
[ 269, 898, 568, 2016, 676, 13297, 1175, 896, 519, 2960, 563, 288, 1857, 1072, 4674, 547, 18385, 9004, 782, 2665, 540, 1135, 328, 3912, 601, 4345, 630, 31673, 1470, 264, 3968, 1472, 519, 1158, 3459, 538, 476, 2735, 279, 267, 3366, 676, 519, 2622, 2657, 9257, 630, 21766, 1070, 519, 2136, 8315, 5753, 781, 8750, 630, 7419, 32019, 264, 543, 519, 15585, 776, 7690, 269, 1452, 3906, 267, 2059, 609, 519, 772, 2529, 269, 15544, 585, 8376, 6513, 543, 10644, 630, 24922, 264, 543, 634, 27176, 7690, 267, 723, 27490, 20243, 519, 5859, 998, 519, 6820, 2717, 1470, 661, 2784, 1709, 19541, 630, 294, 14154, 296, 1040, 21988, 16701, 1709, 540, 11763, 3676, 814, 1044, 6913, 7466, 1354, 267, 609, 31847, 543, 536, 990, 710, 678, 5407, 335, 652, 563, 10890, 538, 519, 2136, 2276, 4016, 547, 519, 2949, 1072, 540, 519, 2551, 540, 519, 2136, 2276, 563, 2419, 1157, 523, 21479, 267, 849, 1634, 607, 15254, 545, 7578, 267, 568, 513, 3810, 21380, 2068, 3361, 676, 519, 3355, 3968, 609, 15254, 545, 7578, 1990, 8803, 3644, 630, 309, 313, 309, 1040, 634, 2068, 2164, 538, 513, 8984, 2960, 16420, 602, 3029, 1507, 267, 28349, 28338, 267, 799, 5555, 1085, 629, 936, 269, 898, 2356, 6238, 593, 519, 9221, 267, 1394, 267, 543, 3068, 269, 898, 1287, 19082, 547, 519, 1964, 540, 519, 1560, 269, 4033, 2589, 949, 1331, 8611, 267, 13110, 1145, 267, 543, 14331, 269, 12580, 2356, 2063, 2947, 547, 5722, 2395, 269, 1290, 4124, 949, 12212, 1331, 16415, 267, 6553, 540, 519, 2634, 267, 543, 9190, 2960, 5563, 269, 634, 2068, 568, 1419, 811, 4049, 538, 4079, 982, 538, 1453, 269, 12580, 2253, 476, 1015, 547, 476, 2641, 2395, 1310, 4598, 547, 519, 3644, 563, 305, 889, 7578, 6669, 568, 513, 6669, 1031, 547, 2061, 6299, 7578, 269, 6356, 4369, 5956, 827, 1079, 4374, 1310, 513, 2582, 9570, 543, 1472, 476, 4817, 260, 540, 1004, 1831, 4761, 269, 18831, 609, 1164, 3928, 540, 31331, 1100, 3476, 1294, 2665, 540, 6299, 7578, 610, 22787, 6299, 7578, 6794, 269, 1879, 972, 568, 513, 1970, 1377, 540, 6689, 31331, 538, 513, 2551, 621, 568, 2009, 585, 3928, 540, 22787, 6299, 7578, 547, 2333, 607, 811, 2021, 1118, 621, 547, 1126, 12946, 2085, 1510, 2901, 12674, 610, 4598, 547, 519, 2068, 269, 4475, 267, 621, 568, 1271, 585, 811, 982, 476, 3199, 260, 540, 1004, 547, 581, 18764, 563, 312, 3641, 8611, 6669, 568, 513, 6669, 602, 14014, 1996, 5835, 8611, 269, 14117, 8611, 568, 513, 10194, 3968, 602, 4386, 538, 4000, 543, 3162, 3013, 269, 4107, 1004, 2253, 547, 1020, 12046, 1369, 4557, 2395, 543, 476, 4200, 2600, 616, 6870, 1369, 835, 3923, 540, 12674, 267, 543, 713, 5526, 547, 581, 15400, 269, 634, 6669, 666, 581, 1031, 547, 1852, 17061, 540, 2068, 269, 898, 568, 2016, 2901, 676, 13297, 883, 513, 4887, 610, 1175, 896, 519, 2960, 563, 9288, 553, 956, 568, 5393, 21380, 855, 3968, 2164, 538, 15400, 12046, 267, 865, 922, 4797, 10009, 538, 513, 2146, 5673, 593, 519, 5108, 540, 11630, 14747, 676, 4332, 540, 1453, 269, 769, 2950, 799, 5352, 13385, 1007, 14747, 519, 2068, 786, 5884, 856, 269, 901, 1523, 729, 1101, 6444, 676, 19258, 27451, 538, 476, 4198, 278, 267, 945, 5219, 547, 519, 5934, 1297, 5885, 27330, 607, 519, 2565, 2146, 2450, 630, 290, 5425, 1040, 5811, 540, 17061, 538, 6532, 2950, 6700, 602, 519, 595, 5425, 585, 27330, 568, 524, 269, 476, 7742, 267, 1822, 563, 305, 532, 12674, 568, 513, 4640, 547, 21391, 519, 3262, 540, 513, 2068, 676, 3945, 3215, 1152, 1346, 945, 616, 1034, 2693, 547, 581, 7783, 563, 9288, 553, 956, 729, 10294, 17515, 689, 519, 2136, 2276, 538, 476, 1220, 271, 676, 519, 2622, 2657, 9257, 1813, 547, 519, 1967, 540, 12674, 3646, 269, 1717, 267, 621, 5170, 547, 581, 32543, 22004, 676, 3486, 17631, 267, 543, 538, 2487, 1296, 267, 4550, 8686, 3147, 1588, 18941, 814, 4847, 585, 519, 556, 655, 1120, 775, 540, 27330, 17061, 563, 3725, 6614, 6794, 568, 513, 1875, 10391, 10855, 2165, 8720, 513, 1895, 540, 26945, 4713, 269, 5047, 267, 711, 1152, 519, 946, 540, 1035, 1214, 3149, 531, 5390, 997, 3679, 855, 849, 540, 4550, 655, 7497, 568, 19250, 1713, 538, 1234, 6614, 6794, 2665, 269, 5637, 5013, 14020, 519, 14496, 540, 519, 16917, 8344, 12220, 11021, 513, 3095, 609, 1035, 1214, 3149, 531, 5390, 997, 3679, 563, 763, 19583, 540, 513, 3989, 2014, 13716, 2078, 1063, 29469, 6981, 543, 1234, 6614, 6794, 538, 1453, 568, 711, 6462, 676, 6190, 5013, 269, 22682, 267, 1100, 3075, 2126, 568, 1510, 2427, 2360, 269, 4935, 267, 513, 7059, 2070, 540, 2436, 2126, 609, 513, 1978, 3075, 568, 20582, 538, 2474, 540, 519, 4324, 270, 14490, 5223, 568, 2141, 2556, 269, 1306, 2869, 514, 568, 1100, 9868, 563, 23178, 1325, 553, 323, 1515, 6601, 1188, 523, 16466, 267, 1767, 267, 834, 2467, 616, 7899, 540, 1387, 2471, 545, 2472, 5627, 1612, 659, 564, 600, 565, 543, 16481, 1575, 19745, 523, 585, 713, 2085, 1895, 711, 2404, 609, 1234, 6614, 781, 6794, 269, 1703, 568, 3274, 1100, 991, 547, 16616, 1346, 896, 476, 1626, 547, 519, 1981, 1765, 6011, 1197, 1507, 4799, 314, 24791, 589, 316, 3112, 2061, 610, 10826, 519, 27330, 454, 8201, 476, 272, 281, 7797, 539, 2475, 27330, 11841, 267, 476, 4198, 271, 1700, 1220, 272, 563, 347, 310, 1731, 1172, 1774, 814, 24185, 1644, 547, 281, 2725, 553, 956, 2008, 347, 310, 1731, 12855, 12780, 814, 2923, 1644, 547, 2725, 553, 956, 1547, 347, 0, 312, 7541, 568, 513, 1390, 29916, 2573, 22083, 543, 621, 1281, 621, 6923, 269, 7102, 2186, 540, 3635, 13847, 10399, 602, 948, 8897, 519, 2566, 602, 1419, 5012, 547, 519, 21462, 610, 30739, 4965, 269, 11314, 8952, 707, 2247, 2484, 689, 2942, 4555, 543, 2636, 596, 547, 2744, 5813, 883, 21140, 538, 707, 1272, 269, 4658, 945, 616, 20158, 610, 1524, 1419, 3668, 519, 17003, 547, 3635, 269, 898, 3085, 1406, 1491, 5176, 607, 1454, 4674, 547, 798, 513, 18639, 6296, 607, 621, 1281, 547, 960, 856, 547, 513, 3381, 610, 5397, 547, 519, 15547, 269, 589, 2262, 540, 9963, 282, 952, 596, 1995, 811, 982, 1175, 519, 17573, 536, 719, 4965, 543, 1745, 1524, 585, 811, 982, 1079, 4374, 693, 513, 942, 267, 596, 1058, 3343, 3318, 948, 269, 1358, 949, 1745, 602, 596, 991, 2126, 610, 3797, 267, 543, 1697, 3635, 563, 25802, 1419, 1004, 945, 616, 20158, 4749, 3668, 519, 5834, 547, 3247, 543, 2119, 547, 31028, 2933, 689, 741, 4555, 269, 18639, 568, 9066, 538, 3350, 865, 621, 568, 4443, 547, 1847, 707, 2247, 2476, 689, 1244, 7675, 4555, 269, 18639, 779, 1445, 593, 3666, 666, 849, 948, 596, 3142, 1394, 707, 2790, 4222, 563, 312, 7541, 814, 513, 2312, 24408, 4276, 1063, 2247, 267, 1560, 267, 543, 6891, 602, 1100, 824, 1106, 540, 3635, 610, 9066, 666, 12492, 593, 922, 1378, 269, 20134, 4555, 666, 1832, 721, 689, 7680, 938, 4105, 6418, 2470, 269, 8935, 23336, 267, 27945, 1145, 267, 21817, 267, 3284, 4331, 543, 2901, 12008, 1932, 1454, 610, 711, 2614, 616, 782, 4191, 540, 4965, 269, 18639, 568, 2966, 547, 3142, 596, 6251, 547, 707, 6418, 1582, 282, 621, 1287, 568, 1152, 2067, 602, 621, 666, 948, 609, 930, 540, 519, 2589, 540, 4965, 563, 26807, 2022, 999, 666, 3310, 707, 7099, 543, 1450, 4965, 547, 1439, 855, 835, 2027, 1306, 3570, 666, 1406, 10826, 4965, 269, 634, 1306, 11446, 4217, 538, 2810, 707, 5761, 4390, 3850, 811, 5135, 547, 3914, 782, 519, 4299, 2694, 540, 707, 1560, 1519, 707, 7099, 269, 1306, 3570, 2022, 999, 666, 948, 30701, 1648, 2157, 543, 22376, 1375, 880, 1145, 269, 1411, 1058, 2307, 707, 18639, 14357, 547, 948, 596, 543, 2303, 2022, 999, 602, 1131, 1655, 4217, 596, 547, 3666, 707, 30181, 563, 763, 2259, 540, 10649, 1608, 916, 519, 8401, 1062, 543, 2636, 596, 547, 10146, 519, 3095, 1063, 707, 2247, 543, 4664, 269, 1358, 666, 1312, 581, 1031, 547, 948, 1142, 824, 269, 1306, 7244, 568, 606, 1271, 851, 540, 18639, 267, 621, 666, 849, 948, 596, 547, 3970, 4160, 267, 9350, 707, 4555, 267, 543, 948, 596, 13404, 593, 2318, 1648, 2864, 982, 2942, 563, 12179, 2511, 540, 18639, 666, 948, 596, 24815, 4606, 540, 4965, 269, 898, 949, 711, 581, 9308, 14053, 855, 596, 786, 1745, 865, 1454, 1732, 693, 519, 1439, 540, 707, 8400, 269, 5457, 267, 952, 596, 723, 513, 4049, 19591, 12558, 282, 3343, 5796, 689, 609, 513, 3318, 269, 13693, 609, 707, 16362, 1354, 4358, 547, 2259, 10649, 547, 581, 2386, 972, 568, 1100, 4655, 609, 1022, 2126, 596, 949, 581, 18460, 269, 1403, 596, 1616, 547, 2119, 513, 18639, 6296, 4481, 585, 4965, 267, 1265, 513, 4116, 945, 666, 1711, 513, 2123, 6296, 585, 596, 269, 18639, 3610, 723, 1044, 14916, 8036, 585, 713, 3483, 543, 917, 799, 7158, 602, 616, 519, 1034, 5078, 585, 1121, 539, 658, 5301, 563, 763, 5413, 540, 1210, 707, 6049, 607, 851, 540, 707, 6539, 568, 602, 621, 779, 519, 835, 6221, 596, 2461, 2693, 547, 723, 609, 596, 16382, 596, 616, 269, 8073, 513, 17835, 540, 9066, 8924, 267, 971, 607, 2836, 332, 267, 6184, 697, 267, 6844, 327, 1518, 543, 10361, 11898, 267, 865, 952, 596, 991, 547, 1491, 513, 1906, 3764, 547, 9350, 707, 2247, 610, 13285, 596, 666, 6432, 547, 513, 11461, 9066, 269, 1703, 616, 849, 8924, 602, 5401, 596, 547, 1589, 827, 1018, 596, 2461, 9684, 995, 585, 267, 971, 607, 1548, 779, 6153, 563, 3963, 711, 2322, 1927, 513, 4313, 1404, 4289, 540, 19463, 26107, 602, 12740, 707, 14326, 267, 2087, 707, 7099, 543, 10069, 1047, 596, 286, 898, 3085, 1406, 2339, 875, 4608, 944, 707, 5542, 568, 267, 1100, 835, 3116, 991, 6432, 547, 621, 269, 2107, 29289, 513, 5542, 602, 7959, 25695, 543, 1964, 995, 267, 538, 2013, 602, 779, 1018, 2337, 693, 513, 1880, 4090, 563, 7197, 11436, 723, 513, 5639, 1509, 334, 813, 1141, 596, 666, 2594, 3054, 6158, 269, 12344, 2594, 513, 5048, 547, 1404, 547, 3054, 950, 596, 2461, 4743, 3226, 14221, 267, 13347, 610, 1970, 563, 7197, 1004, 779, 11436, 616, 4904, 609, 6337, 630, 6518, 789, 10355, 1205, 5180, 547, 8228, 264, 865, 2322, 1927, 513, 3059, 17581, 602, 2306, 596, 12837, 269, 898, 1223, 1331, 6337, 540, 707, 1920, 267, 2828, 543, 11537, 10130, 267, 14026, 602, 7618, 596, 540, 6126, 8823, 610, 10207, 602, 10575, 3424, 596, 563, 29973, 11041, 666, 581, 513, 3432, 344, 3070, 1317, 950, 596, 11375, 1446, 519, 20416, 621, 4422, 2786, 547, 707, 18215, 545, 1062, 267, 799, 5540, 707, 7553, 543, 3965, 269, 2334, 779, 1946, 3006, 782, 621, 3217, 568, 513, 627, 858, 540, 513, 9329, 14678, 547, 1689, 707, 7099, 543, 3142, 1394, 8823, 269, 898, 779, 1134, 1634, 602, 9106, 558, 850, 543, 32175, 616, 22196, 543, 25695, 630, 24392, 621, 779, 4502, 19551, 602, 811, 32175, 982, 596, 991, 666, 723, 519, 6587, 1198, 1070, 18812, 26258, 568, 10575, 14823, 543, 890, 653, 1069, 842, 24253, 269, 5901, 513, 2370, 11480, 13561, 547, 11375, 1446, 950, 2838, 610, 3442, 513, 5066, 6823, 971, 607, 570, 1170, 518, 663, 779, 10361, 13068, 610, 1546, 21178, 816, 267, 610, 3026, 531, 779, 962, 731, 3816, 12203, 685, 6052, 610, 4039, 1314, 566, 269, 1452, 24025, 666, 581, 6299, 5523, 593, 547, 707, 13942, 2798, 543, 789, 2461, 1507, 2614, 547, 3514, 538, 513, 17927, 563, 2691, 596, 2461, 10010, 15508, 267, 513, 1592, 540, 3527, 602, 596, 666, 3442, 689, 547, 948, 3054, 666, 581, 3730, 269, 3503, 873, 1524, 543, 1832, 873, 12341, 13561, 267, 899, 707, 11380, 2721, 518, 610, 9126, 269, 2107, 4688, 873, 607, 513, 4063, 593, 707, 6049, 865, 596, 666, 1569, 873, 9170, 267, 1022, 942, 563, 1432, 596, 2328, 593, 519, 1592, 568, 2123, 547, 596, 1107, 1018, 1131, 1118, 596, 1745, 1732, 950, 596, 2461, 2348, 513, 9157, 1554, 286, 9320, 2469, 585, 513, 3802, 267, 6947, 547, 707, 4313, 1404, 4289, 610, 943, 11238, 513, 3659, 267, 610, 811, 1964, 995, 10372, 899, 2921, 513, 23040, 267, 2542, 513, 3184, 540, 707, 1433, 610, 1199, 23550, 563, 2005, 779, 4502, 15663, 1524, 930, 2596, 2093, 1932, 1107, 6704, 513, 4837, 540, 1216, 267, 1818, 513, 7484, 540, 7401, 267, 4189, 1945, 16138, 5109, 610, 2921, 513, 1906, 2620, 24967 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5444, 666, 1780, 689, 5108, 547, 5108, 609, 856, 1373, 6829, 2394, 513, 20282, 547, 1776, 2915, 602, 11438, 519, 1482, 12424, 633, 2681, 5444, 269, 3973, 519, 2681, 666, 581, 6829, 256, 901, 814, 2965, 5949, 538, 1082, 1397, 3515, 2094, 1397, 9742, 619, 616, 811, 19038, 547, 1899, 9742, 543, 538, 3691, 539, 741, 5243, 547, 1205, 519, 5551, 7907, 538, 741, 1397, 5243, 602, 789, 1616, 269, 8786, 267, 972, 814, 1044, 1256, 606, 31650, 290, 19598, 542, 602, 814, 3812, 519, 3487, 328, 2681, 543, 1082, 29073, 602, 723, 5293, 593, 519, 3487, 328, 5444, 2469, 676, 7895, 580, 4181, 2336, 763, 1739, 568, 519, 1699, 11807, 1259, 602, 519, 3487, 328, 2681, 568, 15110, 454, 2252, 596, 9742, 513, 3487, 328, 11954, 3840, 773, 547, 513, 3487, 328, 11954, 3840, 773, 267, 596, 786, 1205, 20231, 3487, 328, 11954, 29067, 2336, 2252, 596, 9742, 513, 3487, 328, 11954, 3840, 773, 547, 513, 3487, 328, 2961, 8175, 12465, 11954, 3840, 773, 630, 16673, 723, 8795, 5666, 540, 3043, 24795, 593, 873, 1070, 596, 1058, 1205, 606, 1285, 326, 269, 540, 476, 2004, 260, 3487, 328, 11954, 29067, 543, 476, 2004, 260, 3487, 328, 2961, 8175, 12465, 11954, 3840, 773, 29067, 609, 8795, 5666, 540, 3043, 593, 873, 563, 2252, 596, 9742, 513, 3487, 328, 11954, 3840, 773, 547, 513, 9208, 11954, 3840, 773, 267, 596, 786, 1205, 20231, 3487, 328, 2961, 8175, 570, 2784, 1308, 11954, 29067, 256, 1452, 786, 723, 8795, 5666, 540, 3043, 593, 873, 2336, 2252, 596, 9742, 513, 3487, 328, 2961, 8175, 12465, 11954, 3840, 773, 547, 513, 3487, 328, 2961, 8175, 12465, 11954, 3840, 773, 630, 28785, 789, 666, 723, 8795, 5666, 540, 3043, 593, 873, 1070, 596, 1058, 1205, 606, 1285, 326, 269, 540, 476, 1839, 260, 3044, 11954, 3840, 625, 267, 476, 2004, 260, 3487, 328, 2961, 8175, 12465, 11954, 3840, 625, 630, 5976, 8795, 5666, 540, 3043, 593, 873, 264, 543, 476, 1839, 260, 786, 581, 3487, 328, 11954, 3840, 773, 29067, 2336, 2252, 596, 9742, 513, 3487, 328, 2961, 8175, 12465, 11954, 3840, 773, 547, 513, 9208, 11954, 3840, 773, 267, 596, 1058, 1205, 606, 1285, 326, 269, 540, 476, 2004, 260, 3044, 11954, 3840, 625, 543, 476, 2004, 260, 3487, 328, 2961, 8175, 12465, 11954, 3840, 625, 630, 5976, 8795, 5666, 540, 3043, 593, 873, 25631, 2690, 803, 267, 1272, 568, 1932, 2110, 547, 5855, 827, 519, 2681, 540, 1250, 2915, 256, 1403, 596, 2972, 519, 2681, 267, 1287, 602, 568, 1018, 12523, 256, 634, 3487, 328, 543, 519, 7108, 949, 2760, 1586, 581, 1397, 762, 538, 31650, 290, 598, 4146, 31698, 630, 296, 723, 2097, 2066, 606, 31650, 290, 19598, 542, 602, 814, 717, 5357, 291, 607, 621, 781, 2681, 267, 602, 2915, 568, 8863, 269, 23239, 528, 3780, 262, 667, 22929, 11576, 566, 25526, 278, 5038, 26522, 476, 1321, 268, 7761, 717, 5357, 291, 1070, 855, 1287, 1586, 267, 2094, 865, 1082, 1004, 616, 1631, 7255, 827, 5329, 891, 4686, 4778, 9800, 543, 1134, 267, 649, 949, 2943, 1294, 519, 3487, 328, 543, 519, 717, 9529, 538, 519, 31650, 290, 1397, 8258, 256, 4033, 2915, 2982, 896, 513, 1114, 1036, 3588, 616, 16561, 519, 3487, 328, 2051, 1819, 3840, 625, 547, 581, 3254, 267, 1256, 547, 741, 29073, 1222, 256, 1924, 267, 594, 13948, 786, 1832, 1250, 4126, 9800, 602, 835, 1554, 267, 891, 16887, 2051, 1819, 3840, 625, 786, 581, 4847, 547, 1491, 741, 1318, 995, 1747, 267, 711, 1152, 538, 938, 5321, 267, 855, 849, 538, 519, 1397, 8258, 2336, 296, 1336, 891, 1739, 4930, 543, 4280, 10479, 547, 946, 873, 585, 707, 454, 15574, 269, 7490, 2307, 10479, 952, 596, 6999, 547, 5299, 1250, 2376, 610, 6999, 547, 2307, 519, 454, 23116, 540, 519, 1739, 4930, 707, 6999, 547, 5299, 563, 265, 2171, 1312, 2503, 602, 649, 581, 2016, 4589, 1222, 6284, 952, 596, 723, 1044, 2016, 10479, 547, 946, 891, 4930, 256, 20330, 1692, 3487, 328, 3840, 625, 595, 877, 547, 2142, 4429, 2421, 590, 826, 6519, 454, 6624, 26617, 3840, 773, 5411, 543, 9742, 619, 267, 11613, 20549, 547, 3494, 602, 519, 3487, 328, 11954, 3840, 773, 568, 4376, 824, 982, 513, 2487, 834, 2041, 16442, 519, 737, 3317, 601, 26870, 257, 4573, 339, 269, 1358, 2161, 281, 834, 2467, 568, 12971, 3043, 5444, 538, 938, 26192, 321, 1042, 3840, 625, 257, 610, 834, 2467, 568, 12971, 2594, 540, 1022, 3840, 773, 2479, 9960, 547, 513, 3043, 610, 851, 328, 11954, 2915, 257, 610, 834, 5591, 1397, 9742, 518, 945, 781, 1044, 9960, 543, 6029, 585, 476, 1789, 610, 476, 2412, 1296, 267, 814, 2479, 3812, 513, 851, 328, 11954, 3840, 773, 1701, 594, 6415, 2469, 547, 2119, 547, 13599, 1004, 593, 2681, 11976, 267, 12424, 633, 6090, 543, 875, 519, 3487, 328, 5444, 7283, 6456, 538, 519, 31920, 1768, 8175, 9742, 585, 1296, 563, 2171, 917, 689, 938, 3840, 773, 1686, 267, 602, 2038, 5638, 941, 711, 6854, 593, 519, 5748, 9960, 6006, 269, 594, 12517, 8969, 267, 602, 1394, 538, 519, 2395, 1141, 838, 11691, 543, 6120, 1359, 729, 711, 2944, 267, 602, 519, 6705, 543, 2324, 1362, 3885, 4769, 1405, 723, 519, 834, 11484, 553, 1308, 257, 796, 680, 10165, 6379, 538, 741, 666, 1149, 269, 1403, 4376, 267, 621, 5949, 811, 1287, 267, 982, 621, 1281, 2221, 269, 3778, 849, 4967, 602, 519, 631, 5306, 3150, 729, 26870, 547, 519, 31920, 1768, 8175, 547, 3986, 519, 9403, 543, 3259, 540, 519, 31920, 1768, 13205, 10359, 267, 2094, 1034, 540, 519, 2038, 5243, 2219, 547, 723, 3323, 519, 9742, 267, 941, 7745, 688, 1600, 5243, 609, 10156, 267, 1071, 32242, 25151, 269, 898, 781, 13006, 538, 930, 540, 519, 9998, 5638, 602, 519, 5748, 6006, 540, 938, 9742, 267, 941, 3444, 1532, 1042, 5243, 543, 5243, 1510, 7895, 580, 4181, 630, 15367, 781, 6561, 568, 7164, 1040, 4634, 952, 891, 5243, 4769, 1405, 1413, 851, 328, 11954, 789, 1223, 454, 854, 1134, 723, 3771, 321, 1819, 519, 12424, 633, 3487, 328, 5444, 538, 741, 5027, 17539, 269, 6787, 741, 3993, 11721, 1430, 267, 20516, 270, 6588, 526, 15289, 610, 1390, 20516, 17320, 805, 22516, 3267, 729, 851, 328, 11954, 267, 1100, 835, 1131, 2731, 917, 267, 2094, 2594, 5329, 693, 602, 942, 538, 1686, 267, 729, 2370, 547, 9039, 563, 763, 3487, 328, 5444, 666, 1152, 581, 6829, 952, 513, 851, 328, 5444, 15298, 568, 26870, 547, 1776, 851, 328, 5444, 15298, 269, 589, 15298, 786, 1413, 899, 513, 2757, 11954, 3840, 773, 855, 568, 4535, 609, 6148, 930, 3043, 593, 621, 781, 24060, 267, 9221, 543, 5924, 3952, 269, 769, 713, 2013, 1141, 513, 851, 328, 15298, 568, 26870, 547, 1776, 851, 328, 15298, 267, 476, 1839, 260, 540, 519, 15556, 786, 581, 2757, 3840, 625, 630, 2254, 8876, 519, 5444, 1070, 476, 2004, 260, 786, 581, 2757, 11954, 3840, 625, 945, 798, 4163, 519, 12424, 633, 851, 328, 5444, 543, 476, 1839, 260, 540, 519, 15556, 786, 581, 4890, 3487, 328, 11954, 5243, 269, 31650, 290, 814, 4847, 3487, 328, 11954, 3840, 625, 547, 581, 14718, 585, 14261, 2094, 476, 1220, 271, 269, 13405, 547, 602, 942, 267, 851, 328, 11954, 15556, 941, 7363, 2016, 2476, 1510, 4574, 610, 10032, 630, 13433, 267, 10032, 1040, 594, 917, 540, 1896, 9742, 619, 945, 723, 10032, 513, 16445, 540, 834, 31162, 21215, 257, 851, 328, 11954, 4996, 1186, 563, 763, 1034, 30508, 1634, 1899, 540, 3487, 328, 3840, 625, 568, 519, 834, 30210, 1899, 257, 610, 21208, 14150, 781, 1899, 269, 1452, 5243, 616, 782, 18939, 540, 606, 31650, 290, 19598, 542, 3957, 21208, 14150, 781, 17029, 3149, 20858, 576, 12891, 2917, 269, 5565, 6131, 9742, 619, 538, 4993, 267, 10692, 547, 1205, 713, 1899, 540, 3487, 328, 11954, 3840, 625, 267, 10805, 676, 31650, 290, 269, 901, 1899, 540, 3487, 328, 19057, 543, 3487, 328, 11954, 3840, 625, 2501, 689, 513, 1134, 1634, 1397, 9742, 518, 945, 781, 1044, 9960, 543, 6029, 585, 936, 476, 2412, 1296, 269, 10783, 344, 26690, 1396, 1562, 543, 5481, 540, 5243, 689, 713, 1899, 941, 5027, 9364, 1991, 547, 31650, 290, 781, 13170, 540, 14261, 563, 763, 31920, 6833, 13205, 9742, 4441, 723, 4957, 936, 519, 1296, 269, 634, 834, 24092, 257, 2681, 568, 4544, 543, 16009, 267, 1022, 824, 2681, 568, 2808, 547, 581, 834, 19423, 9208, 1701, 19402, 519, 1007, 2681, 771, 23974, 2305, 4341, 4682, 883, 1198, 267, 1055, 3044, 11954, 267, 3109, 543, 16009, 543, 3109, 543, 4154, 26294, 625, 723, 9411, 519, 1397, 8258, 543, 4465, 741, 22299, 4567, 269, 11621, 723, 4957, 543, 711, 1152, 798, 649, 1631, 723, 4130, 21092, 5243, 982, 538, 519, 3735, 476, 5197, 271, 781, 267, 855, 930, 540, 938, 834, 4752, 3044, 2437, 18632, 22862, 5243, 723, 1044, 4847, 883, 519, 1397, 8258, 563, 28775, 2685, 891, 2010, 540, 2242, 2059, 609, 513, 1732, 1620, 540, 2681, 11976, 267, 786, 1930, 519, 7450, 585, 519, 4797, 267, 3395, 10343, 540, 519, 3487, 328, 11954, 3840, 773, 269, 3487, 328, 3840, 625, 25758, 681, 22664, 267, 789, 616, 2182, 547, 1265, 543, 607, 3761, 543, 3747, 4422, 267, 789, 798, 1942, 811, 982, 519, 2757, 11954, 3840, 773, 563, 8512, 328, 11954, 3840, 625, 616, 2635, 2831, 543, 789, 616, 711, 513, 4719, 1954, 752, 540, 2470, 607, 930, 1004, 267, 2516, 610, 7270, 2303, 269, 769, 713, 1554, 540, 1085, 600, 5159, 543, 1004, 3168, 547, 1118, 513, 3728, 11369, 267, 1250, 19583, 568, 547, 4444, 689, 18019, 9742, 619, 945, 723, 741, 5243, 5027, 9364, 543, 5924, 741, 5243, 616, 689, 1634, 3515, 540, 3487, 328, 6721, 5243, 269, 1703, 616, 824, 3840, 773, 3515, 540, 851, 328, 19057, 543, 12696, 855, 519, 4993, 1899, 568, 519, 1655, 1634, 269, 1924, 798, 707, 1382, 267, 1205, 8100, 543, 723, 606, 1930, 2247, 269, 901, 5444, 814, 1044, 538, 930, 540, 938, 3840, 773, 1973, 6050, 585, 1296, 543, 1296, 543, 1296, 3267, 543, 952, 596, 1589, 621, 781, 711, 2009, 267, 1810, 1405, 581, 14281, 952, 835, 1554, 267, 707, 1378, 6986, 321, 1042, 3840, 773, 7472, 513, 7782, 540, 513, 1114, 2681, 2336, 2419, 8981, 543, 18000, 610, 28688, 543, 7108, 563, 25565, 27413, 616, 912, 23325, 543, 18000, 4563, 543, 18000, 454, 23325, 543, 7108, 4563, 543, 7108, 454, 9288, 753, 1412, 4820, 6519, 23823, 763, 31650, 290, 5027, 476, 5655, 1396, 1562, 950, 513, 1397, 9742, 518, 4941, 547, 11578, 713, 2681, 543, 26906, 519, 4587, 1283, 1397, 9742, 619, 543, 4956, 602, 713, 568, 513, 11578, 762, 2681, 2336, 8512, 328, 4211, 565, 832, 666, 581, 538, 1022, 11807, 2681, 912, 25565, 9791, 543, 18000, 3487, 328, 4211, 565, 528, 2676, 2465, 2349, 27475, 3487, 328, 4211, 565, 528, 563, 2465, 2349, 27475, 28688, 3487, 328, 4211, 565, 528, 563, 288, 298, 290, 814, 7608, 7108, 1256, 607, 29073, 267, 865, 786, 1397, 602, 2681, 1101, 563, 29995, 789, 5027, 1449, 607, 552, 324, 2073, 855, 693, 2053, 786, 1449, 607, 32318, 563, 2465, 786, 10691, 723, 1022, 4563, 24827, 2676, 599, 654, 21135, 22743, 12717, 4563, 24827, 563, 2465, 2681, 666, 4268, 689, 1360, 1769, 3592, 6519, 547, 1360, 4158, 6960, 563, 288, 6828, 540, 6833, 13205, 689, 519, 476, 866, 628, 2540, 563, 763, 4787, 6614, 6833, 8175, 269, 634, 8857, 577, 6833, 8175, 267, 634, 2296, 3911, 26743, 6833, 8175, 267, 634, 9061, 539, 8857, 577, 6833, 8175, 267, 634, 667, 663, 773, 20550, 23992, 543, 634, 18409, 6833, 8175, 269, 31598, 1768, 13205, 899, 891, 941, 930, 540, 519, 2038, 5748, 6006, 540, 519, 31920, 6833, 8175, 563, 763, 4686, 4778, 540, 570, 3198, 267, 3487, 328, 4211, 565, 1819, 543, 28688, 616, 7608, 676, 519, 31650, 290, 630, 13563, 26366, 601, 11833, 1070, 519, 20031, 1512, 2915, 1036, 3588, 952, 2366, 538, 609, 5961, 540, 519, 2915, 9706, 6269, 344, 269, 0, 5475, 28277, 909, 3636, 267, 649, 5887, 3293, 856, 883, 519, 4411, 12784, 269, 3776, 4305, 2221, 729, 547, 946, 938, 1966, 6061, 543, 16542, 1983, 547, 1305, 18162, 1210, 513, 1883, 543, 2067, 3615, 269, 901, 3576, 9639, 543, 942, 855, 2899, 938, 18162, 941, 1305, 543, 7318, 267, 519, 824, 2516, 1185, 547, 1294, 952, 789, 1223, 1246, 873, 269, 1284, 616, 20938, 547, 1867, 602, 789, 782, 5249, 2336, 5194, 966, 28475, 4411, 12784, 267, 2705, 649, 616, 1500, 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 ]
[ 17292, 1194, 717, 5424, 281, 1306, 513, 4831, 4812, 547, 519, 8670, 779, 3638, 2609, 267, 4584, 1194, 20909, 630, 21865, 2699, 610, 968, 17754, 328, 695, 7541, 14615, 568, 3773, 269, 4706, 8325, 1145, 543, 8126, 2759, 998, 519, 8645, 1465, 540, 519, 26185, 543, 519, 3170, 339, 1465, 540, 519, 20230, 267, 3246, 513, 24253, 4334, 269, 634, 20909, 849, 5713, 547, 2973, 572, 519, 31370, 267, 3850, 7188, 619, 547, 4628, 5660, 519, 16221, 10366, 538, 1169, 22635, 995, 563, 302, 7219, 11867, 590, 20899, 568, 711, 1175, 513, 8670, 282, 621, 779, 513, 2239, 540, 744, 7219, 11867, 779, 2189, 2686, 3460, 269, 898, 779, 513, 15266, 547, 519, 10195, 685, 6043, 267, 5876, 267, 543, 519, 2702, 547, 585, 613, 606, 3961, 602, 267, 1247, 12082, 538, 2245, 267, 568, 3982, 569, 922, 1378, 269, 1306, 609, 782, 744, 7219, 1177, 534, 11951, 267, 744, 7219, 11867, 590, 20899, 20217, 596, 711, 1175, 547, 3548, 267, 855, 547, 851, 820, 538, 513, 1650, 602, 21269, 5553, 267, 835, 8949, 11116, 693, 513, 942, 563, 763, 12472, 543, 29675, 540, 10548, 523, 454, 305, 29546, 267, 1247, 30883, 24207, 569, 5545, 538, 922, 1699, 1106, 267, 568, 513, 8670, 602, 20206, 12885, 519, 6891, 540, 11477, 4720, 543, 9542, 269, 6145, 513, 2713, 11248, 267, 621, 814, 9927, 267, 9862, 267, 543, 7960, 538, 3210, 547, 513, 16221, 540, 7506, 936, 519, 5756, 269, 901, 4720, 568, 711, 1175, 513, 15266, 547, 4657, 16919, 855, 849, 513, 8086, 540, 3567, 779, 8739, 14426, 3460, 543, 922, 4205, 609, 519, 6626, 1158, 563, 14813, 26475, 540, 2199, 5820, 543, 2528, 593, 6237, 8677, 912, 9336, 12826, 540, 986, 5443, 6645, 513, 1650, 540, 519, 3148, 689, 799, 621, 688, 2812, 269, 634, 9661, 568, 711, 1175, 827, 10366, 855, 849, 827, 1686, 267, 2916, 267, 2528, 267, 543, 2199, 3132, 563, 268, 10871, 23123, 281, 2311, 519, 2295, 540, 1169, 6237, 986, 5443, 8390, 6013, 519, 13345, 540, 2199, 5820, 269, 6787, 621, 779, 519, 946, 540, 4195, 16872, 538, 2156, 2195, 676, 9381, 4525, 267, 610, 519, 25465, 540, 2199, 5388, 543, 16469, 267, 891, 5820, 1404, 513, 11358, 1909, 538, 5935, 513, 3148, 779, 15040, 986, 5443, 269, 1358, 2327, 602, 1142, 12826, 568, 711, 1175, 8949, 855, 849, 513, 8086, 540, 519, 1327, 1446, 779, 6694, 543, 7286, 29667, 344, 563, 268, 8836, 14118, 1878, 281, 3683, 519, 5553, 267, 3567, 814, 14754, 6329, 540, 2686, 3310, 267, 689, 519, 4367, 540, 13221, 547, 4205, 609, 15231, 2477, 269, 3962, 5951, 814, 2451, 922, 1665, 593, 5545, 11951, 269, 1280, 3236, 267, 519, 3638, 267, 20230, 13463, 8283, 2156, 2195, 540, 930, 986, 5443, 6163, 666, 10250, 741, 8129, 547, 4457, 11477, 5389, 267, 1247, 1978, 547, 25940, 543, 14546, 949, 723, 1044, 5189, 998, 4123, 543, 2686, 15377, 563, 268, 29725, 1738, 11154, 725, 281, 634, 2916, 540, 513, 3148, 814, 513, 7096, 1764, 593, 922, 11951, 269, 634, 2295, 344, 267, 3638, 2156, 2195, 540, 670, 758, 330, 4660, 334, 779, 590, 1952, 19660, 986, 5443, 267, 585, 1383, 267, 666, 581, 2938, 607, 513, 8949, 3210, 547, 519, 3148, 779, 4411, 2916, 267, 5356, 14246, 543, 32351, 269, 769, 4334, 267, 14402, 267, 811, 24253, 2156, 2195, 1522, 581, 23163, 538, 15911, 4525, 563, 763, 2413, 6377, 986, 5443, 12760, 543, 3486, 7648, 912, 1103, 2487, 5756, 267, 986, 5443, 814, 10489, 2105, 922, 22657, 779, 10665, 543, 814, 1044, 2295, 1176, 17947, 5001, 269, 901, 2518, 3460, 814, 8507, 538, 513, 4241, 7613, 281, 519, 4332, 540, 12760, 15155, 839, 543, 519, 1646, 540, 3486, 7648, 563, 268, 674, 4288, 10548, 523, 281, 7073, 22730, 267, 1312, 538, 3567, 543, 11451, 267, 616, 19234, 609, 986, 5443, 676, 1102, 6748, 621, 609, 10366, 543, 5820, 689, 1585, 32345, 269, 6787, 621, 779, 513, 986, 5443, 609, 513, 26185, 29689, 609, 17310, 5144, 543, 21487, 14546, 610, 513, 12826, 547, 5529, 609, 5820, 899, 25636, 543, 521, 1023, 320, 267, 12760, 986, 5443, 20502, 5876, 543, 11477, 29412, 563, 268, 4139, 29938, 281, 1306, 986, 5443, 14612, 267, 621, 9862, 547, 2199, 16919, 267, 3056, 547, 519, 4332, 540, 3982, 3486, 6163, 269, 1280, 3236, 267, 538, 519, 772, 2529, 1421, 835, 1522, 1265, 968, 30210, 10548, 523, 892, 609, 547, 25940, 899, 25989, 543, 1989, 2683, 9269, 267, 610, 538, 2342, 267, 986, 5443, 1522, 581, 9862, 609, 2199, 11922, 543, 29380, 525, 269, 769, 9705, 267, 972, 779, 968, 305, 600, 6614, 517, 2223, 513, 25970, 14583, 602, 779, 513, 20013, 538, 922, 1378, 1318, 563, 268, 634, 10020, 540, 2382, 656, 10548, 523, 281, 898, 779, 7543, 547, 1865, 986, 5443, 779, 2518, 11640, 1510, 14344, 8216, 986, 5443, 269, 13823, 1027, 538, 519, 476, 736, 628, 2540, 267, 891, 2656, 2275, 8504, 30653, 723, 5129, 513, 2629, 1909, 538, 2442, 1944, 986, 5443, 5001, 269, 1358, 4076, 849, 6273, 513, 16221, 540, 14624, 267, 609, 1004, 4946, 741, 2199, 5820, 543, 23538, 547, 519, 2596, 8216, 562, 22259, 17142, 563, 305, 29546, 779, 4720, 543, 9542, 616, 30118, 1738, 540, 519, 6422, 2470, 540, 1426, 269, 898, 779, 513, 12576, 602, 32345, 267, 1100, 2339, 875, 2757, 267, 616, 711, 11979, 269, 1358, 11457, 267, 3082, 267, 543, 538, 519, 1184, 267, 1831, 513, 13795, 602, 649, 2314, 1927, 16060, 540, 1686, 267, 2528, 267, 11585, 267, 543, 5647, 269, 10548, 523, 267, 538, 782, 922, 32219, 7648, 267, 6763, 607, 513, 15266, 547, 8103, 779, 15851, 2648, 26035, 609, 1426, 543, 519, 2984, 621, 6645, 563, 305, 29546, 21094, 538, 3567, 454, 7021, 519, 1296, 267, 986, 5443, 814, 711, 1175, 7283, 513, 11537, 8670, 585, 519, 5545, 855, 814, 1831, 513, 2686, 30118, 269, 4706, 4473, 547, 21239, 814, 2840, 339, 1117, 513, 2189, 2186, 540, 9235, 1107, 10548, 523, 21094, 269, 3245, 2199, 7192, 20601, 15606, 547, 3486, 12439, 267, 1082, 7832, 593, 19623, 1137, 547, 3567, 267, 9003, 11461, 676, 519, 1391, 547, 521, 2948, 519, 1655, 267, 1034, 8076, 26633, 540, 986, 5443, 269, 1809, 621, 779, 711, 1175, 827, 519, 6492, 269, 898, 779, 827, 9284, 532, 13951, 538, 519, 3003, 986, 5443, 1995, 563, 28082, 10548, 523, 6790, 1115, 543, 14080, 11040, 912, 268, 10548, 523, 6790, 1115, 281, 20290, 1169, 2101, 2749, 538, 3567, 19646, 513, 968, 305, 29546, 9335, 892, 610, 968, 305, 29546, 962, 758, 5255, 334, 1848, 1452, 616, 620, 2917, 1811, 610, 13102, 31523, 609, 986, 5443, 15945, 267, 1142, 642, 3539, 585, 519, 2140, 540, 519, 1655, 12826, 538, 4884, 269, 589, 8037, 1383, 568, 519, 590, 1952, 19660, 10548, 523, 962, 758, 5255, 334, 538, 670, 758, 330, 4660, 334, 267, 513, 803, 17433, 585, 3765, 334, 986, 5443, 18798, 269, 3973, 972, 779, 519, 19519, 10548, 523, 9335, 4092, 538, 19519, 13749, 267, 5356, 17631, 513, 4960, 547, 3732, 3309, 986, 5443, 6163, 1510, 6028, 519, 6728, 563, 268, 10548, 523, 14080, 11040, 281, 10801, 519, 1032, 267, 1585, 4872, 538, 3567, 3984, 986, 5443, 15976, 269, 1452, 2621, 616, 513, 11812, 540, 782, 1919, 986, 5443, 267, 15386, 6237, 8677, 267, 5499, 12760, 26633, 267, 543, 2757, 29202, 269, 2290, 971, 2680, 568, 519, 19519, 10548, 523, 8058, 267, 799, 22168, 7589, 689, 986, 5443, 15945, 782, 2066, 3567, 269, 898, 779, 711, 1175, 513, 13037, 282, 621, 779, 513, 6735, 267, 609, 1142, 588, 718, 17935, 547, 3094, 519, 524, 913, 1540, 2140, 540, 2048, 12895, 986, 5443, 17483, 305, 29546, 631, 13952, 543, 3718, 10914, 585, 12875, 1235, 912, 268, 1744, 514, 25286, 758, 2129, 4821, 14780, 18210, 7467, 281, 10705, 29805, 519, 968, 11514, 2284, 1633, 540, 10548, 523, 2223, 713, 9754, 4092, 538, 962, 758, 2129, 4821, 568, 513, 1590, 23724, 527, 585, 986, 5443, 12439, 269, 2859, 982, 1175, 513, 9754, 267, 621, 779, 513, 27164, 2389, 1335, 539, 6288, 18187, 908, 19519, 689, 519, 476, 4198, 271, 338, 267, 519, 5736, 950, 986, 5443, 6591, 10373, 8560, 269, 6250, 6002, 666, 32603, 998, 519, 21305, 2389, 1335, 539, 10754, 267, 10386, 26633, 689, 12021, 986, 5443, 15945, 8204, 1114, 4525, 540, 3567, 269, 18766, 689, 4189, 267, 8436, 666, 1451, 827, 519, 1686, 540, 986, 5443, 267, 2070, 15225, 827, 922, 4720, 267, 543, 1256, 6718, 986, 5443, 5829, 6204, 1597, 15077, 563, 268, 10548, 523, 3718, 10914, 281, 20876, 519, 2518, 22906, 609, 986, 5443, 267, 1896, 24284, 1631, 2709, 986, 5443, 6194, 11925, 585, 14666, 269, 1452, 7886, 616, 711, 1175, 827, 1565, 519, 2553, 282, 789, 616, 827, 1620, 519, 6138, 3297, 519, 8670, 269, 19893, 616, 11461, 998, 519, 1184, 540, 1818, 30653, 267, 8600, 2156, 2195, 267, 543, 7011, 1782, 519, 3501, 12826, 269, 1358, 2461, 849, 13473, 827, 519, 4644, 540, 1142, 5057, 543, 922, 1909, 538, 8236, 519, 18900, 3666, 602, 11225, 513, 1434, 986, 5443, 563, 268, 2382, 656, 10548, 523, 7467, 538, 14642, 10440, 281, 667, 539, 5344, 547, 519, 21184, 540, 16474, 1993, 4157, 340, 1656, 334, 267, 519, 23266, 540, 8216, 30653, 267, 713, 9754, 568, 513, 24744, 547, 519, 2518, 7613, 540, 8216, 986, 5443, 269, 6250, 6002, 666, 1451, 827, 519, 1686, 540, 8216, 986, 5443, 267, 7198, 513, 18187, 320, 540, 519, 8774, 1141, 1656, 334, 1606, 534, 11827, 26560, 10548, 523, 267, 543, 1256, 1118, 741, 16419, 7484, 30653, 538, 519, 9754, 779, 968, 7069, 595, 308, 14149, 302, 7495, 299, 2464, 31543, 3034, 305, 29546, 21094, 538, 3567, 568, 513, 3460, 602, 14767, 711, 1175, 11477, 10508, 855, 849, 2686, 21599, 269, 898, 779, 827, 1620, 519, 9997, 540, 3567, 267, 835, 12826, 693, 513, 942, 269, 1306, 14666, 1793, 584, 335, 741, 1259, 998, 519, 10754, 267, 15882, 267, 543, 15976, 267, 789, 2461, 711, 1175, 10438, 1426, 282, 789, 2461, 851, 1136, 538, 513, 3638, 267, 29316, 9371, 602, 3567, 814, 561, 990, 5944, 10114, 3293, 936, 519, 5756, 269, 6787, 513, 13680, 2951, 518, 610, 513, 2182, 14537, 986, 5443, 27423, 267, 3567, 779, 986, 5443, 6429, 3091, 606, 1995, 602, 568, 1312, 9997, 1606, 15384, 325, 3539, 543, 3965, 6194, 563, 25899, 281, 15656, 543, 10748, 9445, 593, 13334, 454, 6962, 281, 10548, 523, 538, 3567, 454, 1103, 1169, 18843, 540, 562, 22259, 267, 1169, 31652, 532, 26185, 267, 543, 1169, 5402, 5697, 547, 6137, 267, 986, 5443, 20206, 12885, 811, 982, 1175, 519, 11477, 23258, 540, 3567, 282, 621, 27711, 8941, 540, 4525, 267, 5389, 267, 543, 5553, 6040, 2853, 269, 1306, 649, 4076, 3460, 539, 998, 3567, 779, 986, 5443, 5251, 267, 689, 519, 7187, 2865, 10301, 540, 670, 758, 330, 4660, 334, 547, 519, 9341, 804, 1307, 540, 744, 7219, 11867, 267, 649, 4076, 1044, 3051, 344, 547, 811, 982, 6071, 10346, 269, 1284, 4076, 1350, 31663, 539, 883, 519, 1360, 9997, 540, 3567, 267, 1620, 875, 7533, 1426, 568, 547, 922, 2686, 543, 6237, 9163, 563, 763, 2620, 4276, 1063, 5545, 2528, 543, 922, 6237, 986, 5443, 8677, 912, 268, 589, 14506, 540, 3778, 543, 17323, 281, 3962, 6237, 986, 5443, 8390, 6763, 607, 513, 15266, 547, 519, 2189, 12583, 543, 2520, 13132, 540, 922, 1747, 540, 5169, 269, 634, 2295, 344, 3765, 334, 2156, 2195, 540, 590, 1952, 19660, 2995, 8941, 540, 4411, 267, 530, 842, 787, 17334, 267, 1247, 519, 1769, 267, 9269, 2861, 2156, 2195, 540, 19109, 9369, 22090, 704, 540, 519, 2749, 779, 15568, 267, 11440, 2250, 563, 268, 589, 13507, 540, 7991, 543, 8625, 1145, 281, 15332, 922, 1367, 3334, 267, 986, 5443, 4564, 18497, 18226, 267, 513, 3838, 1995, 602, 6770, 1004, 1927, 269, 634, 986, 5443, 6300, 267, 609, 922, 1279, 27669, 543, 9252, 23752, 954, 12542, 267, 568, 513, 1747, 540, 23274, 267, 1141, 2984, 616, 22121, 936, 10398, 532, 3905, 26633, 563, 268, 16743, 543, 28673, 281, 1306, 1454, 607, 986, 5443, 24947, 2245, 267, 621, 568, 849, 513, 17198, 585, 5647, 269, 901, 546, 7081, 9356, 519, 6626, 5545, 31672, 267, 1141, 27527, 585, 519, 2250, 18991, 17706, 1235, 609, 513, 1990, 7002, 585, 519, 2104, 563, 306, 2948, 891, 3309, 10366, 912, 268, 589, 26943, 2435, 23874, 281, 1280, 3988, 945, 2015, 2933, 11477, 7045, 3464, 267, 3567, 779, 3309, 986, 5443, 6429, 3091, 606, 796, 337, 2526, 539, 1995, 269, 3962, 3148, 20217, 596, 547, 23365, 707 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1692, 7043, 6496, 606, 21060, 10326, 14970, 888, 7775, 1052, 4054, 616, 711, 1152, 4190, 23937, 547, 1022, 5251, 267, 855, 789, 849, 1683, 8949, 543, 14312, 4829, 269, 1403, 596, 616, 6236, 9544, 606, 10538, 3529, 267, 596, 949, 4898, 875, 1279, 621, 786, 2661, 543, 3136, 547, 7703, 4829, 269, 769, 713, 2376, 267, 649, 786, 2263, 519, 14438, 540, 606, 10538, 3529, 543, 2626, 930, 1455, 2055, 1644, 547, 922, 15325, 563, 4002, 3328, 267, 606, 10538, 3529, 666, 2661, 585, 827, 476, 2004, 1296, 269, 1717, 267, 609, 1697, 1416, 543, 5826, 267, 930, 10538, 4054, 723, 1044, 1634, 547, 2661, 585, 936, 476, 1911, 1296, 269, 634, 14438, 540, 606, 10538, 3529, 666, 4268, 4470, 593, 1585, 2188, 971, 607, 519, 3099, 540, 519, 3529, 267, 519, 3395, 2175, 267, 543, 519, 1416, 621, 11392, 563, 2080, 616, 519, 4267, 547, 930, 1455, 2055, 1644, 547, 519, 14438, 540, 606, 10538, 3529, 912, 272, 269, 1548, 2188, 666, 1860, 519, 14438, 540, 606, 10538, 3529, 888, 763, 14438, 540, 606, 10538, 3529, 666, 581, 6766, 676, 2188, 971, 607, 3676, 267, 10860, 267, 3665, 4365, 2175, 267, 3037, 2298, 267, 543, 519, 2949, 1072, 540, 519, 3529, 563, 273, 269, 1215, 1279, 1281, 621, 1491, 585, 606, 10538, 3529, 547, 1376, 12946, 4829, 888, 7197, 10538, 4054, 1376, 12946, 4829, 1369, 476, 274, 547, 476, 277, 1296, 1310, 9544, 269, 1717, 267, 621, 949, 4268, 4470, 593, 519, 3099, 543, 519, 3395, 2175, 563, 274, 269, 1684, 10538, 4054, 3136, 547, 3132, 4829, 2429, 741, 14438, 888, 8133, 267, 10538, 4054, 666, 3136, 547, 3132, 4829, 585, 1082, 1296, 269, 1717, 267, 519, 4829, 2504, 949, 6175, 607, 519, 3529, 6502, 563, 275, 269, 2052, 596, 8831, 519, 14438, 540, 606, 10538, 3529, 888, 8133, 267, 596, 666, 8831, 519, 14438, 540, 606, 10538, 3529, 676, 3246, 1697, 1416, 543, 5826, 269, 8617, 14450, 267, 6992, 1944, 267, 18309, 267, 543, 7863, 519, 3529, 689, 3676, 543, 10860, 666, 948, 10804, 922, 1272, 563, 276, 269, 1548, 616, 930, 1455, 3676, 602, 666, 1860, 10538, 4054, 888, 7775, 1052, 4054, 616, 11630, 547, 3676, 971, 607, 20521, 666, 12027, 267, 20521, 3039, 532, 267, 543, 3597, 4232, 269, 898, 568, 1898, 547, 2697, 543, 1521, 891, 3676, 16425, 547, 2061, 873, 689, 7133, 519, 2949, 1072, 543, 14438, 540, 519, 3529, 563, 277, 269, 1215, 1419, 1058, 594, 1216, 1250, 10538, 3529, 888, 7775, 1052, 4054, 3622, 2154, 2834, 14450, 267, 2523, 1282, 3819, 5712, 269, 898, 568, 1271, 547, 1216, 7184, 543, 8499, 267, 3850, 519, 3037, 547, 3819, 856, 5594, 1063, 1216, 902, 563, 278, 269, 1879, 568, 519, 1655, 942, 547, 32566, 606, 10538, 3529, 888, 7468, 12941, 606, 10538, 3529, 568, 1655, 2944, 538, 3735, 5162, 610, 2038, 5614, 1354, 1007, 2208, 5956, 269, 901, 2337, 547, 3895, 2635, 2208, 543, 2226, 519, 5551, 3337, 540, 519, 3529, 563, 279, 269, 1215, 1419, 1058, 594, 6992, 1125, 1250, 10538, 3529, 888, 7775, 1052, 4054, 4324, 689, 2834, 22289, 269, 898, 568, 5227, 547, 6992, 1125, 873, 1169, 476, 273, 547, 476, 274, 3275, 1282, 519, 3395, 4005, 609, 513, 7059, 20521, 13226, 563, 280, 269, 2052, 594, 1332, 606, 10538, 3529, 538, 513, 8708, 888, 8133, 267, 10538, 4054, 666, 581, 6738, 538, 11149, 267, 1818, 873, 5078, 585, 1507, 5624, 610, 21617, 16374, 1141, 789, 666, 581, 6410, 16280, 1282, 5162, 563, 1015, 269, 2052, 15470, 610, 4411, 4365, 3441, 606, 10538, 3529, 888, 8133, 267, 15470, 610, 4411, 4365, 666, 3441, 10538, 4054, 267, 2523, 1762, 4054, 269, 898, 568, 1271, 547, 2149, 873, 1282, 4411, 28542, 676, 8720, 873, 609, 29198, 610, 1210, 15470, 4027, 3800, 563, 1556, 269, 3657, 10538, 4054, 1582, 1790, 3326, 3215, 888, 7197, 10538, 4054, 616, 1582, 1790, 3326, 3215, 267, 2495, 789, 798, 711, 2154, 1776, 3529, 585, 26853, 269, 1717, 267, 3444, 1790, 3326, 1588, 609, 1776, 10538, 3529, 666, 2333, 4829, 2504, 563, 1321, 269, 2052, 594, 1332, 606, 10538, 3529, 689, 513, 6079, 888, 8133, 267, 596, 666, 1332, 606, 10538, 3529, 689, 513, 6079, 269, 1717, 267, 1832, 538, 2247, 602, 519, 4611, 3529, 949, 711, 723, 519, 1482, 4162, 607, 519, 2385, 3529, 543, 949, 1491, 3476, 547, 7703, 4829, 563, 1724, 269, 1548, 616, 930, 2442, 10538, 3529, 8677, 888, 5278, 2442, 10538, 3529, 8677, 1331, 4406, 16780, 807, 267, 10878, 767, 267, 10552, 21060, 267, 543, 2961, 320, 2961, 320, 269, 3962, 3099, 814, 922, 1378, 2189, 4162, 543, 8137, 12632, 563, 1103, 3932, 267, 519, 14438, 540, 606, 10538, 3529, 666, 2039, 689, 476, 2004, 547, 936, 476, 1911, 1296, 267, 4470, 593, 1585, 2188, 269, 1635, 3246, 1697, 1416, 267, 2834, 5826, 267, 543, 4027, 689, 3676, 543, 10860, 267, 596, 666, 948, 8831, 519, 1272, 540, 707, 10538, 3529, 543, 2972, 922, 8949, 5613, 585, 1082, 1296, 547, 2097, 269, 0, 15578, 570, 7838, 298, 23360, 570, 8582, 2207, 454, 307, 1010, 1869, 7555, 10766, 2389, 1077, 7654, 3357, 827, 1310, 519, 26362, 540, 476, 14444, 277, 676, 15349, 4070, 269, 769, 519, 476, 14690, 271, 338, 267, 1293, 674, 7967, 322, 4498, 30638, 1716, 11028, 30062, 519, 10766, 267, 799, 729, 2899, 1031, 585, 17872, 5301, 267, 883, 513, 13486, 602, 3893, 7715, 2740, 609, 513, 2699, 25549, 267, 6824, 20898, 24743, 563, 763, 10766, 267, 799, 1223, 581, 2938, 689, 7192, 541, 267, 729, 513, 6041, 540, 28665, 543, 1379, 543, 729, 1031, 607, 606, 4082, 540, 22693, 269, 769, 519, 2038, 476, 866, 628, 2540, 267, 519, 18949, 539, 2679, 2968, 606, 3693, 540, 519, 1325, 5733, 344, 544, 6416, 543, 998, 713, 267, 851, 540, 519, 2729, 540, 18211, 7095, 3885, 543, 741, 4357, 21384, 563, 763, 13486, 568, 849, 1572, 670, 1380, 541, 2389, 1077, 543, 2221, 621, 8075, 13350, 267, 4207, 1148, 24218, 563, 763, 14266, 2982, 721, 519, 1686, 540, 519, 13486, 267, 855, 849, 519, 8823, 540, 519, 6189, 540, 21859, 3121, 1282, 519, 16368, 13567, 269, 898, 3568, 2645, 689, 519, 8210, 30448, 674, 7967, 322, 7467, 781, 4015, 267, 855, 849, 519, 3688, 1336, 1282, 519, 26995, 540, 519, 16836, 267, 6580, 1394, 547, 519, 2881, 330, 880, 13567, 268, 5028, 540, 519, 4884, 563, 10908, 18968, 3349, 2264, 267, 519, 22739, 12992, 543, 519, 627, 30178, 20077, 689, 5642, 941, 1500, 1934, 538, 519, 476, 1704, 628, 2540, 282, 1317, 1282, 519, 13567, 267, 1507, 8075, 543, 15945, 941, 4092, 538, 519, 8513, 540, 519, 670, 1380, 541, 16836, 267, 7713, 519, 5169, 540, 891, 17820, 2645, 269, 589, 2189, 20614, 540, 519, 8858, 568, 519, 695, 731, 540, 606, 552, 691, 1156, 2264, 267, 799, 729, 8385, 4547, 538, 689, 594, 345, 23364, 267, 11894, 563, 763, 15349, 13486, 568, 513, 2582, 22286, 3233, 267, 29256, 539, 267, 15839, 32472, 2679, 609, 513, 726, 770, 1229, 2627, 269, 898, 729, 8385, 519, 13486, 10766, 540, 519, 1394, 4580, 15699, 1472, 21859, 3121, 16836, 267, 799, 729, 2907, 3710, 835, 543, 513, 3368, 5553, 1991, 547, 519, 631, 6416, 269, 634, 670, 1380, 541, 13486, 568, 1631, 7471, 883, 519, 2679, 540, 31471, 5451, 1910, 631, 6416, 267, 607, 519, 1152, 6967, 1875, 3146, 31437, 522, 1777, 2674, 268, 5028, 2679, 538, 21640, 269, 0, 13981, 827, 595, 6363, 26245, 2101, 4336, 286, 769, 713, 2022, 267, 649, 4076, 2322, 1927, 513, 2347, 3391, 547, 3388, 596, 991, 547, 917, 950, 1565, 827, 519, 4336, 563, 2171, 3580, 581, 3168, 693, 519, 4967, 540, 595, 6363, 26245, 2101, 4336, 267, 1018, 621, 5654, 899, 538, 519, 1726, 1076, 267, 18369, 267, 620, 1729, 267, 543, 4557, 528, 1579, 12028, 267, 519, 5232, 540, 519, 4336, 267, 922, 1883, 15040, 267, 543, 6266, 811, 269, 2913, 779, 1205, 3323, 563, 24687, 538, 595, 6363, 26245, 11683, 17361, 454, 763, 595, 6363, 26245, 2101, 4336, 568, 1500, 909, 540, 5722, 4967, 4358, 593, 595, 6363, 26245, 630, 6518, 568, 1634, 607, 519, 1883, 16694, 1040, 898, 1287, 5205, 519, 2101, 4336, 4542, 540, 2898, 543, 3368, 3268, 563, 17829, 4967, 616, 281, 595, 321, 667, 321, 661, 321, 674, 321, 717, 321, 2806, 645, 321, 454, 2026, 596, 666, 1294, 267, 621, 814, 5722, 6366, 4967, 281, 645, 321, 267, 661, 321, 267, 2806, 267, 667, 321, 267, 717, 321, 267, 595, 321, 543, 674, 321, 454, 290, 6363, 26245, 11683, 538, 519, 7066, 1076, 7581, 325, 454, 2080, 616, 782, 519, 4967, 540, 595, 6363, 26245, 2101, 4336, 538, 519, 1726, 1076, 1579, 325, 267, 26799, 543, 27312, 563, 290, 6363, 26245, 11683, 538, 519, 30464, 7581, 325, 454, 9202, 267, 649, 723, 782, 519, 4967, 540, 595, 6363, 26245, 2101, 4336, 538, 519, 18369, 1579, 325, 267, 26799, 543, 27312, 563, 290, 6363, 26245, 11683, 538, 519, 1325, 1729, 7581, 325, 454, 2080, 616, 782, 519, 4967, 540, 595, 6363, 26245, 2101, 4336, 538, 519, 620, 1729, 1579, 325, 267, 26799, 543, 27312, 563, 290, 6363, 26245, 11683, 538, 519, 14210, 528, 7581, 325, 454, 4517, 2063, 540, 519, 1579, 12028, 267, 1934, 616, 782, 519, 4967, 540, 595, 6363, 26245, 2101, 4336, 538, 519, 4557, 528, 1579, 325, 267, 26799, 543, 27312, 563, 290, 6363, 26245, 11683, 17361, 16754, 454, 12024, 1169, 2101, 4336, 267, 595, 6363, 26245, 2101, 5205, 513, 1978, 4542, 540, 2898, 543, 3368, 3268, 799, 568, 912, 2662, 1961, 1900, 267, 2898, 1900, 267, 3368, 1900, 267, 2898, 1900, 267, 2898, 1900, 267, 2898, 1900, 267, 3368, 1900, 563, 1607, 568, 28484, 547, 654, 654, 670, 654, 654, 654, 670, 563, 8794, 519, 3703, 16166, 540, 18565, 543, 5033, 527, 2158, 267, 713, 1131, 581, 912, 307, 821, 267, 3159, 267, 5033, 32050, 267, 3159, 267, 3159, 267, 3159, 267, 5033, 32050, 454, 7617, 4991, 28484, 547, 570, 570, 590, 570, 570, 570, 590, 563, 290, 6363, 26245, 11683, 17361, 26440, 4181, 543, 14502, 18780, 454, 1103, 2575, 3069, 267, 649, 666, 3277, 547, 1142, 4063, 540, 513, 4336, 676, 2338, 799, 649, 1289, 519, 5232, 540, 513, 4336, 563, 763, 1101, 4063, 568, 519, 476, 272, 560, 4110, 267, 519, 2034, 568, 519, 476, 273, 526, 4110, 267, 519, 3791, 4063, 568, 519, 476, 274, 6113, 4110, 267, 3092, 563, 3719, 267, 1142, 4336, 4110, 814, 1776, 2012, 799, 568, 1572, 519, 2930, 4408, 540, 519, 4336, 563, 2080, 616, 519, 2930, 4408, 543, 4336, 5232, 540, 595, 6363, 26245, 2101, 4336, 563, 268, 476, 272, 560, 1107, 570, 4577, 1107, 595, 321, 454, 268, 476, 273, 526, 1107, 8111, 2023, 545, 1107, 667, 321, 454, 268, 476, 274, 6113, 1107, 2405, 5050, 1107, 661, 321, 454, 268, 476, 275, 628, 1107, 4427, 3256, 5364, 1107, 674, 321, 454, 268, 476, 276, 628, 1107, 667, 11395, 1107, 717, 321, 454, 268, 476, 277, 628, 1107, 4427, 9712, 656, 1107, 2806, 454, 268, 476, 278, 628, 1107, 31327, 3159, 1107, 645, 321, 454, 290, 6363, 26245, 11683, 6206, 6178, 1155, 454, 2414, 1118, 4730, 538, 513, 1978, 1883, 4443, 585, 519, 22459, 547, 1224, 267, 649, 666, 946, 513, 1883, 15040, 563, 1607, 2337, 721, 917, 547, 1404, 1978, 4967, 8325, 610, 6366, 1510, 2348, 547, 1224, 606, 23139, 1142, 942, 563, 290, 6363, 26245, 2101, 814, 5722, 1166, 1846, 538, 922, 1883, 15040, 281, 645, 321, 267, 661, 321, 267, 2806, 267, 667, 321, 267, 717, 321, 267, 595, 321, 543, 674, 321, 563, 2080, 779, 519, 1883, 15040, 585, 595, 6363, 26245, 2101, 538, 519, 1726, 1076, 267, 620, 1729, 267, 4557, 528, 267, 543, 18369, 1579, 12028, 563, 1432, 568, 519, 28731, 19724, 540, 595, 6363, 26245, 11683, 888, 9336, 2101, 1883, 814, 513, 3448, 5634, 1883, 269, 1548, 2306, 873, 1644, 568, 602, 789, 1312, 2671, 519, 1482, 1883, 15040, 563, 763, 3448, 5634, 1883, 540, 595, 6363, 26245, 2101, 568, 589, 6363, 26245, 19724, 563, 2080, 568, 589, 6363, 26245, 2067, 5634, 4336, 267, 799, 3096, 782, 519, 1482, 4967, 607, 595, 6363, 26245, 2101, 855, 6238, 593, 2806, 267, 799, 568, 922, 1883, 16694, 281, 2806, 645, 321, 595, 321, 667, 321, 661, 321, 674, 321, 717, 321, 454, 3719, 875, 798, 649, 917, 602, 589, 6363, 26245, 5634, 568, 519, 3448, 5634, 540, 595, 6363, 26245, 2101, 286, 4270, 267, 547, 960, 856, 519, 3448, 5634 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11668, 1876, 267, 17535, 4031, 267, 513, 28153, 23312, 3652, 267, 23139, 7063, 6042, 267, 3959, 8227, 268, 1084, 656, 4031, 267, 9668, 543, 16028, 4031, 543, 1875, 13867, 1876, 269, 634, 1871, 540, 3540, 1876, 666, 711, 581, 19765, 13846, 621, 568, 519, 4493, 585, 782, 540, 519, 824, 7939, 538, 1840, 547, 513, 26608, 1288, 585, 13844, 1022, 2489, 2551, 3028, 563, 1103, 519, 2680, 596, 6068, 713, 1344, 543, 596, 7287, 547, 1205, 811, 9623, 7282, 3274, 4945, 519, 909, 4947, 3135, 24963, 2638, 856, 519, 4950, 3135, 563, 290, 2753, 5358, 3009, 19752, 519, 5730, 2694, 540, 4031, 6394, 676, 3081, 1369, 519, 1533, 4110, 543, 799, 6023, 10963, 543, 3540, 2306, 513, 3017, 269, 4634, 1498, 2489, 1857, 6042, 13315, 782, 4031, 13931, 676, 519, 2136, 2276, 2986, 3013, 2229, 267, 519, 2359, 6498, 543, 4567, 9777, 725, 616, 3769, 538, 519, 10324, 8257, 267, 15424, 18747, 543, 4031, 543, 6042, 267, 1256, 1498, 14804, 9086, 6257, 6042, 602, 949, 581, 711, 3656, 4808, 269, 6406, 9479, 616, 7396, 676, 1297, 532, 4098, 609, 476, 272, 267, 1287, 519, 2262, 3540, 543, 25759, 1210, 519, 4082, 11156, 269, 4256, 1533, 22533, 3540, 3652, 616, 5219, 547, 607, 15335, 4031, 267, 950, 5313, 543, 4291, 6042, 616, 1572, 772, 2529, 269, 15335, 4031, 543, 6042, 563, 31359, 4031, 616, 3812, 676, 2769, 15424, 32234, 610, 4567, 16324, 3549, 269, 1358, 8428, 689, 9208, 6465, 2373, 267, 602, 949, 581, 4808, 602, 2936, 2197, 4204, 267, 538, 789, 616, 711, 2123, 10276, 1721, 1424, 267, 855, 1152, 28007, 269, 589, 1920, 2777, 9086, 949, 1134, 1450, 8066, 513, 10703, 4705, 1688, 30516, 2436, 621, 5360, 625, 609, 1808, 7569, 267, 1498, 585, 1383, 267, 513, 1411, 2529, 269, 1876, 949, 7654, 3970, 519, 10009, 540, 1688, 326, 12584, 269, 16296, 9086, 3622, 6615, 519, 946, 540, 1688, 326, 12584, 998, 1880, 2053, 540, 1032, 899, 593, 9872, 3786, 4926, 610, 693, 2921, 5961, 8255, 563, 1103, 519, 1560, 540, 1411, 2529, 269, 3652, 568, 5258, 883, 1079, 8371, 281, 6554, 543, 3557, 269, 634, 2229, 4140, 545, 1155, 1568, 3592, 676, 3054, 267, 5103, 519, 13429, 2356, 4371, 8015, 1034, 1004, 602, 1169, 15424, 15357, 906, 616, 3710, 3842, 519, 772, 2529, 269, 18322, 269, 634, 1411, 2529, 269, 10966, 7040, 3336, 267, 676, 2688, 543, 3527, 267, 666, 723, 519, 3803, 2161, 593, 782, 1876, 2055, 269, 634, 772, 2529, 269, 634, 6574, 2702, 568, 17477, 609, 519, 1411, 2529, 267, 5103, 519, 1249, 602, 14130, 543, 5600, 3835, 24973, 2328, 3656, 4808, 269, 6837, 269, 6837, 2356, 814, 3893, 519, 2547, 1377, 540, 3310, 998, 16324, 25926, 563, 763, 772, 2529, 269, 11156, 14828, 610, 12029, 519, 2229, 519, 5480, 3336, 519, 1648, 547, 5873, 6381, 5473, 968, 15132, 636, 560, 1734, 540, 4641, 1848, 589, 3650, 540, 519, 10470, 267, 713, 8360, 968, 15132, 636, 560, 766, 892, 568, 2489, 543, 1202, 999, 1022, 2013, 540, 15784, 711, 269, 30271, 3335, 3870, 1100, 268, 6247, 6627, 6381, 13296, 519, 6161, 568, 16789, 569, 1759, 593, 519, 23328, 267, 2094, 519, 772, 2529, 269, 11156, 1281, 711, 19231, 519, 12204, 540, 6381, 10470, 949, 7654, 5873, 269, 9182, 267, 1169, 942, 513, 4161, 538, 1063, 1079, 1205, 2389, 690, 564, 1667, 3217, 1747, 267, 519, 772, 2529, 269, 11156, 4249, 519, 2816, 540, 1022, 13591, 5480, 3336, 563, 288, 3099, 540, 968, 338, 15856, 725, 540, 2596, 1249, 892, 4755, 538, 1411, 2529, 269, 6042, 269, 6201, 616, 519, 11268, 540, 3540, 4027, 896, 519, 1876, 267, 1455, 4031, 2924, 267, 543, 1585, 824, 2924, 4143, 547, 5234, 269, 6465, 2373, 15725, 891, 4025, 2356, 723, 840, 25365, 9551, 757, 1282, 519, 1411, 2529, 269, 9139, 610, 7654, 538, 17551, 1526, 4801, 269, 1452, 29071, 7363, 2709, 519, 10470, 3180, 519, 3656, 1318, 547, 1589, 827, 1007, 6811, 950, 519, 9165, 609, 519, 3355, 7682, 814, 1279, 1044, 11097, 2989, 269, 1717, 267, 547, 2866, 922, 3656, 1062, 267, 519, 10470, 991, 547, 14751, 8271, 3313, 519, 9165, 540, 519, 7682, 563, 7197, 540, 2769, 1526, 4801, 1450, 519, 10470, 547, 21907, 29170, 14843, 555, 745, 32404, 269, 1488, 4226, 1674, 3330, 519, 2783, 11156, 2356, 4016, 547, 513, 11006, 6876, 13327, 523, 609, 519, 4567, 5480, 3336, 267, 799, 568, 7363, 1572, 968, 320, 5650, 1141, 513, 2708, 543, 824, 851, 540, 513, 3656, 5480, 1095, 1938, 17364, 513, 23312, 267, 4749, 676, 7487, 543, 6217, 4128, 610, 10438, 5023, 22195, 267, 547, 8207, 22195, 610, 3390, 513, 3375, 1848, 9603, 547, 519, 1411, 2529, 269, 10966, 7040, 779, 1139, 3789, 602, 8078, 2218, 32404, 786, 711, 581, 5812, 1927, 609, 519, 25029, 540, 707, 16324, 1184, 267, 519, 4019, 814, 12628, 3564, 899, 269, 11048, 267, 32404, 568, 15983, 606, 2500, 1259, 547, 960, 856, 2152, 1851, 3252, 945, 1522, 17732, 1702, 610, 9639, 547, 3142, 16048, 5773, 1991, 547, 519, 10470, 563, 763, 8549, 10470, 3622, 723, 811, 7839, 1876, 4145, 982, 4163, 856, 519, 2783, 10470, 269, 769, 971, 2665, 267, 972, 568, 2356, 513, 4161, 1851, 1896, 7606, 945, 1131, 899, 547, 11654, 513, 7928, 4031, 3409, 269, 1677, 581, 2111, 547, 2936, 811, 1455, 6042, 883, 513, 15539, 4448, 609, 1896, 19771, 945, 786, 581, 711, 28955, 676, 513, 15818, 267, 519, 5313, 519, 5480, 3336, 1223, 8263, 6392, 1657, 519, 2339, 267, 855, 814, 811, 11393, 593, 922, 12588, 547, 1118, 513, 3375, 2042, 540, 3044, 5855, 563, 2691, 596, 11537, 713, 2022, 538, 1840, 547, 596, 1616, 547, 3489, 5583, 7282, 10856, 4945, 519, 1739, 2022, 1252, 3585, 2628, 513, 3643, 547, 938, 1378, 4950, 3135, 563, 19675, 596, 581, 25981, 827, 713, 1543, 538, 713, 2110, 2376, 267, 1934, 616, 930, 811, 3817, 609, 513, 2147, 1570, 912, 9617, 4945, 519, 1739, 4950, 2985, 454, 13678, 2952, 4945, 519, 1985, 4950, 2985, 0, 28657, 779, 30110, 326, 1054, 320, 267, 513, 476, 4489, 279, 17001, 676, 14731, 14216, 20852, 8381, 267, 6054, 519, 1379, 540, 29053, 18259, 269, 4706, 1650, 6054, 1018, 649, 1616, 547, 3314, 1107, 543, 7340, 1107, 950, 519, 2112, 568, 936, 563, 763, 19730, 17001, 568, 1631, 593, 4159, 693, 519, 8225, 2782, 7467, 538, 31747, 630, 4820, 540, 519, 2142, 11232, 15842, 758, 14635, 540, 2782, 3203, 264, 609, 713, 6609, 912, 7628, 519, 5822, 11135, 540, 962, 26078, 267, 15555, 2293, 6933, 730, 602, 513, 8225, 17199, 1185, 1044, 16961, 1881, 593, 513, 32068, 28561, 7450, 267, 513, 1650, 519, 16586, 3954, 6407, 607, 18259, 269, 6787, 5168, 610, 5708, 267, 4516, 779, 30110, 326, 1054, 320, 14550, 519, 8515, 540, 29053, 14868, 543, 11052, 269, 634, 16961, 32267, 542, 3788, 796, 2889, 1597, 563, 28398, 338, 540, 519, 16961, 32267, 542, 6933, 730, 2429, 519, 2112, 267, 4862, 689, 2576, 2914, 14833, 10275, 2908, 1606, 727, 821, 2914, 14833, 3620, 611, 2914, 5893, 539, 32717, 269, 1715, 4944, 3639, 4080, 519, 25711, 540, 513, 8225, 11464, 630, 528, 513, 1583, 613, 656, 1040, 19672, 9867, 827, 519, 1106, 540, 2669, 543, 3961, 540, 519, 6408, 267, 855, 519, 3239, 729, 3730, 547, 3895, 19684, 543, 547, 6133, 2112, 7554, 563, 24841, 779, 17001, 729, 851, 540, 519, 476, 4489, 280, 8225, 2782, 17341, 338, 14266, 267, 1101, 538, 5507, 267, 1287, 21409, 547, 519, 2475, 543, 4516, 269, 634, 4436, 2229, 1843, 539, 547, 519, 17001, 267, 6998, 585, 6169, 540, 519, 10071, 610, 606, 11760, 618, 602, 621, 729, 7301, 269, 898, 729, 32585, 689, 519, 14266, 269, 630, 1103, 519, 1715, 3840, 8858, 267, 621, 729, 3254, 538, 513, 5094, 4055, 1317, 540, 519, 9240, 5052, 4302, 1641, 4700, 3973, 621, 729, 19526, 2476, 2394, 519, 476, 1960, 271, 338, 267, 676, 2229, 1931, 267, 547, 2057, 2229, 19849, 14536, 563, 300, 7559, 570, 2089, 9116, 3091, 1776, 7664, 281, 968, 1492, 17001, 729, 513, 1907, 540, 2112, 267, 543, 519, 2112, 729, 1631, 936, 269, 634, 1857, 4941, 2560, 18810, 602, 22993, 606, 2856, 602, 1223, 2992, 1022, 2495, 519, 21951, 24714, 547, 2285, 621, 1107, 15093, 267, 3653, 267, 28194, 267, 11348, 543, 1256, 25863, 1107, 2864, 982, 513, 10853, 24575, 540, 606, 2680, 1848, 630, 306, 1529, 20567, 538, 4516, 281, 589, 3778, 267, 669, 476, 275, 264, 0, 1692, 547, 2422, 25037, 543, 2552, 2784, 11881, 538, 2659, 5675, 454, 1692, 547, 2422, 25037, 543, 2552, 2784, 11881, 538, 2659, 5675, 454, 3080, 540, 519, 1655, 2081, 547, 1174, 875, 547, 2328, 513, 1433, 610, 1557, 568, 547, 1413, 585, 1806, 540, 4334, 543, 32475, 269, 25037, 338, 2049, 950, 513, 1915, 1281, 1945, 6587, 540, 1018, 789, 723, 1044, 3257, 610, 6031, 269, 1452, 24716, 666, 948, 596, 3589, 1018, 786, 4755, 1985, 543, 18505, 4729, 610, 4655, 269, 1677, 2253, 267, 1053, 666, 4585, 519, 19347, 2110, 4670, 11553, 12239, 302, 543, 4431, 547, 519, 2055, 602, 616, 10268, 538, 519, 3381, 269, 1358, 1058, 581, 2386, 547, 2491, 1018, 789, 1589, 519, 1257, 1797, 543, 875, 621, 5932, 4334, 563, 288, 1434, 1259, 547, 1451, 519, 3017, 1063, 4334, 543, 27171, 568, 547, 5635, 1079, 2093, 269, 25037, 338, 616, 3006, 1031, 538, 6965, 543, 12416, 267, 855, 789, 616, 2356, 711, 2808, 547, 581, 5339, 3457, 269, 1358, 616, 513, 1390, 1259, 547, 1118, 707, 1603, 811, 4277, 543, 12300, 269, 25037, 338, 666, 849, 581, 1031, 547, 4766, 3584, 971, 607, 4187, 267, 4334, 267, 610, 3017, 269, 901, 2306, 873, 606, 5140, 1907, 585, 5830, 543, 3988, 7567, 269, 1403, 596, 2461, 2348, 8373, 14045, 799, 2165, 547, 946, 538, 707, 1603, 267, 1934, 616, 513, 1906, 2093, 547, 2015, 912, 11328, 5562, 8249, 1411, 2052, 25849, 538, 2659, 7913, 15858, 3245, 570, 335, 307, 454, 307, 335, 307, 568, 513, 3760, 1141, 3610, 543, 824, 7855, 666, 1711, 3872, 1543, 585, 741, 1053, 269, 674, 10133, 6754, 3798, 601, 2006, 4718, 513, 5458, 1761, 538, 519, 960, 540, 3610, 267, 543, 7691, 602, 1053, 1131, 798, 1732, 950, 824, 7855, 22283, 538, 547, 1711, 3872, 1543, 269, 570, 335, 307, 814, 6738, 547, 581, 513, 7372, 5234, 4055, 609, 513, 3099, 540, 3872, 2200, 269, 3245, 3992, 4566, 547, 2238, 267, 596, 666, 1265, 1175, 827, 4376, 596, 2461, 3168, 585, 563, 292, 553, 601, 568, 513, 3059, 1907, 689, 570, 335, 307, 602, 2306, 2870, 543, 26471, 4928, 268, 2819, 2200, 2241, 543, 2656, 269, 898, 814, 14468, 1382, 543, 7028, 15285, 543, 2208, 8186, 1115, 269, 1411, 666, 4019, 31418, 601, 547, 707, 1378, 570, 335, 307, 4558, 547, 1711, 2502, 543, 7317, 2238, 585, 707, 1053, 269, 4495, 596, 4076, 1336, 513, 4199, 596, 899, 267, 596, 666, 3651, 621, 547, 707, 1053, 547, 948, 873, 1451, 563, 27645, 666, 1711, 3059, 2238, 609, 2645, 899, 5616, 15858, 543, 31418, 601, 269, 2991, 2870, 606, 2534, 267, 1053, 666, 1569, 621, 676, 25718, 519, 15745, 547, 741, 1378, 717, 21166, 6589, 610, 676, 4757, 532, 621, 547, 873, 269, 4841, 666, 2347, 519, 2534, 1210, 519, 1482, 14391, 566, 2645, 267, 1498, 789, 666, 1406, 1039, 2626, 10833, 610, 1118, 11979, 5546, 1940, 762, 269, 4841, 666, 1287, 10505, 741, 6192, 2238, 547, 596, 585, 2689, 563, 291, 8780, 23814, 19845, 27073, 5058, 25037, 543, 2552, 2784, 11881, 7913, 7689, 454, 2690, 3610, 543, 6267, 945, 991, 606, 4244, 1505, 540, 1565, 267, 513, 667, 8780, 23814, 19845, 27073, 5058, 25037, 1299, 2552, 2784, 11881, 7913, 7689, 949, 581, 1175, 1018, 596, 991, 269, 1452, 4245, 723, 1044, 2966, 676, 1079, 7855, 945, 723, 5318, 1995, 538, 519, 2361, 540, 3872, 2029, 267, 8935, 326, 17384, 543, 27211, 6154, 344, 269, 5637, 2021, 723, 6026, 538, 1857, 3506, 543, 723, 2919, 1153, 4204, 1949, 547, 2087, 3450, 543, 1565, 563, 6944, 2858, 543, 2552, 2784, 2109, 454, 2791, 4076, 4440, 2938, 519, 4082, 267, 968, 14188, 596, 8575, 685, 600, 2223, 855, 723, 596, 2479, 8068, 602, 538, 4334, 547, 602, 3948, 267, 513, 1915, 1281, 519, 6587, 540, 1018, 835, 1522, 2503, 269, 1280, 1383, 267, 513, 812, 945, 779, 1044, 3775, 5523, 676, 513, 544, 10212, 518, 568, 12691, 547, 11547, 602, 1268, 779, 3068, 269, 2552, 9009, 547, 519, 20772, 267, 713, 1915, 1705, 269, 2334, 779, 513, 1434, 4334, 269, 898, 2306, 519, 5467, 1589, 7466, 1354 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 917, 519, 1297, 540, 3688, 538, 519, 1305, 267, 713, 3884, 1406, 513, 1966, 269, 3807, 4194, 585, 519, 7508, 1344, 1210, 519, 1739, 4542, 1384, 2971, 2405, 1014, 692, 763, 11667, 540, 513, 1305, 540, 562, 2338, 568, 1175, 519, 1647, 1297, 538, 519, 1305, 269, 1403, 972, 568, 606, 1256, 1297, 540, 3688, 538, 519, 1305, 267, 1287, 519, 11667, 568, 519, 3328, 540, 1346, 1079, 2338, 269, 1280, 1383, 267, 1577, 779, 1491, 513, 1413, 693, 1079, 5036, 540, 2338, 1384, 13729, 476, 272, 281, 2715, 273, 267, 274, 267, 278, 267, 279, 267, 1321, 8679, 13729, 476, 273, 281, 2715, 268, 272, 16427, 272, 270, 273, 267, 271, 267, 271, 267, 1428, 267, 2641, 267, 2420, 267, 1220, 10926, 1103, 5590, 476, 272, 267, 519, 11667, 568, 2653, 547, 1265, 269, 634, 1647, 1297, 1934, 568, 476, 278, 269, 5457, 267, 547, 1265, 519, 11667, 267, 519, 2338, 538, 513, 1305, 1590, 581, 538, 1931, 689, 10545, 547, 4102, 780, 1103, 5590, 476, 273, 267, 596, 616, 2016, 606, 1256, 1297, 540, 3688, 269, 4935, 267, 547, 1265, 519, 11667, 267, 596, 1590, 1265, 519, 3328, 540, 519, 1079, 1647, 2338, 281, 476, 271, 543, 476, 1428, 269, 4935, 267, 519, 11667, 1131, 581, 476, 278, 269, 276, 780, 2971, 25042, 692, 763, 7154, 540, 513, 1305, 540, 562, 2338, 568, 1175, 519, 6221, 538, 519, 1305, 602, 5526, 1034, 4749, 269, 1403, 649, 946, 519, 1482, 1806, 689, 938, 4901, 540, 1199, 2103, 267, 1657, 267, 649, 2161, 602, 5590, 476, 272, 814, 1100, 7154, 267, 2495, 1100, 6221, 538, 5590, 476, 272, 5526, 811, 4749, 982, 1022, 824, 269, 769, 5590, 476, 273, 267, 519, 7154, 1131, 581, 476, 271, 2094, 621, 5526, 7466, 267, 1247, 1169, 824, 6221, 5526, 2899, 780, 2971, 6201, 692, 272, 269, 634, 2953, 2626, 568, 667, 269, 6969, 649, 1256, 1205, 547, 3257, 519, 2979, 1934, 267, 1577, 779, 1491, 513, 1413, 693, 938, 2626, 5079, 269, 9406, 2476, 267, 596, 1058, 581, 2111, 547, 9004, 1614, 540, 519, 2947, 5079, 269, 634, 2953, 2626, 1590, 581, 1063, 476, 4037, 630, 1492, 8695, 685, 3328, 264, 543, 476, 10695, 630, 1492, 6690, 685, 3328, 1040, 14893, 589, 666, 1406, 7654, 581, 1318, 2094, 621, 779, 2539, 982, 519, 8695, 685, 3328, 269, 14893, 661, 568, 2362, 982, 519, 6690, 685, 3328, 267, 865, 602, 779, 856, 585, 519, 1482, 2601, 269, 14893, 645, 568, 519, 8695, 685, 3328, 267, 865, 602, 666, 1406, 581, 2953, 269, 4935, 267, 1256, 952, 596, 666, 1406, 4137, 856, 519, 3169, 2979, 1934, 267, 610, 596, 616, 4881, 856, 540, 942, 267, 596, 1223, 1205, 621, 1524, 547, 1079, 2009, 5079, 269, 1403, 14045, 1063, 595, 543, 667, 267, 3903, 667, 568, 519, 1732, 3903, 2094, 621, 779, 6251, 547, 519, 8004, 779, 3328, 543, 972, 616, 811, 6690, 982, 8695, 538, 519, 1362, 269, 4935, 267, 519, 1362, 3328, 786, 581, 22051, 538, 3870, 540, 519, 6690, 685, 3328, 269, 11569, 3903, 595, 568, 3274, 513, 2786, 3328, 540, 519, 8695, 685, 3328, 6060, 543, 519, 6690, 685, 3328, 6060, 12544, 16297, 518, 3903, 952, 972, 2479, 729, 835, 256, 1677, 4194, 519, 1966, 267, 649, 991, 547, 1265, 513, 22051, 3328, 269, 769, 713, 2013, 267, 972, 616, 476, 1724, 8695, 543, 476, 1626, 6690, 267, 865, 649, 917, 972, 616, 476, 3066, 2698, 1053, 538, 519, 1362, 269, 1284, 1810, 1406, 991, 547, 917, 1142, 2875, 779, 1367, 6060, 267, 1175, 519, 2698, 540, 782, 519, 8464, 585, 8695, 543, 6690, 269, 1284, 1265, 713, 676, 14921, 519, 1948, 540, 8695, 2053, 519, 8695, 685, 3328, 6060, 543, 14921, 519, 1948, 540, 6690, 2053, 519, 6690, 685, 3328, 6060, 543, 1287, 267, 4946, 873, 1927, 269, 19147, 713, 2040, 676, 519, 1948, 540, 2698, 1053, 585, 519, 1362, 3328, 780, 273, 269, 634, 2953, 2626, 568, 674, 269, 9406, 2476, 596, 666, 9004, 3903, 918, 269, 589, 5506, 540, 476, 272, 1797, 602, 519, 2680, 568, 16798, 547, 2049, 269, 11822, 7954, 6645, 721, 713, 666, 1406, 581, 3020, 269, 1411, 1223, 5066, 519, 18062, 543, 1205, 513, 6292, 540, 3283, 610, 513, 6292, 540, 535, 1161, 610, 1082, 824, 10659, 602, 4465, 1406, 1039, 909, 547, 476, 275, 269, 1411, 616, 1869, 2451, 609, 2185, 2009, 2626, 5079, 267, 855, 2185, 568, 1732, 982, 2947, 269, 11569, 267, 952, 596, 941, 12758, 267, 596, 1223, 1869, 4440, 9004, 835, 811, 3903, 630, 577, 4069, 808, 264, 607, 1932, 1164, 267, 543, 7058, 689, 519, 6967, 1614, 7399, 269, 1677, 4194, 519, 1966, 2705, 267, 596, 991, 547, 1101, 4137, 856, 875, 1082, 2009, 10659, 972, 616, 540, 20061, 540, 519, 18062, 269, 901, 786, 581, 519, 14009, 540, 707, 6824, 269, 4595, 972, 616, 476, 277, 2009, 20061, 540, 1142, 18062, 267, 519, 2698, 2009, 4093, 568, 3274, 476, 277, 2053, 476, 277, 267, 610, 476, 3607, 269, 8921, 267, 649, 991, 547, 4137, 856, 1018, 4093, 2285, 721, 519, 5551, 1267, 630, 320, 2040, 540, 2185, 17107, 258, 272, 1948, 273, 5681, 454, 272, 476, 274, 476, 275, 454, 274, 476, 272, 476, 275, 454, 273, 476, 273, 476, 275, 692, 763, 3349, 1657, 2982, 721, 782, 2009, 8424, 540, 20061, 602, 786, 2285, 721, 513, 2040, 540, 2185, 269, 1703, 616, 476, 274, 540, 873, 267, 865, 602, 568, 938, 19362, 269, 21079, 713, 6824, 543, 649, 1205, 938, 2626, 267, 3903, 674, 780, 14188, 596, 585, 9683, 3733, 31955, 302, 6877, 3820, 692, 7069, 5441, 18169, 10378, 568, 606, 2228, 2852, 4058, 1982, 602, 13462, 6634, 540, 1164, 1153, 1053, 609, 12621, 543, 9945, 780, 8923, 4757, 721, 693, 9623, 287, 3240, 3712, 5076, 9953, 687, 3820, 547, 1265, 856, 952, 707, 9872, 568, 3257, 3388, 621, 666, 547, 3914, 11727, 267, 17053, 1053, 269, 1284, 1413, 4464, 547, 6217, 689, 596, 269, 0, 258, 2776, 20412, 639, 6201, 692, 3721, 476, 272, 454, 2414, 5173, 519, 14230, 267, 1101, 7941, 519, 21335, 563, 13729, 909, 519, 21335, 547, 581, 5258, 269, 1403, 972, 568, 711, 513, 2165, 585, 1169, 20800, 267, 7696, 835, 609, 513, 1871, 540, 4586, 1341, 910, 20620, 19667, 728, 519, 5207, 1931, 2165, 538, 519, 26318, 676, 519, 5207, 1931, 2165, 538, 27708, 4586, 1341, 910, 20620, 11372, 17586, 519, 1007, 23479, 2165, 676, 519, 27708, 563, 1341, 910, 910, 1341, 30492, 763, 4082, 2115, 547, 581, 10208, 539, 689, 519, 26318, 267, 865, 1689, 782, 519, 4191, 538, 454, 1341, 910, 910, 910, 20620, 5475, 4657, 519, 4191, 267, 1039, 519, 2063, 26318, 689, 519, 16611, 9971, 547, 1265, 519, 1007, 26318, 563, 1341, 910, 910, 910, 910, 20620, 303, 1638, 519, 1985, 2474, 689, 519, 3312, 26318, 1524, 883, 519, 1699, 26318, 563, 1341, 910, 910, 910, 910, 910, 20620, 19667, 728, 519, 5207, 1931, 2165, 538, 519, 26318, 676, 519, 5207, 1931, 2165, 538, 27708, 4586, 910, 1341, 910, 910, 910, 910, 910, 20620, 11372, 17586, 519, 1007, 23479, 2165, 676, 519, 27708, 563, 910, 1341, 910, 910, 910, 910, 910, 910, 910, 20620, 763, 4082, 2115, 547, 581, 10208, 539, 689, 519, 26318, 267, 865, 1689, 782, 519, 4191, 538, 454, 910, 1341, 910, 910, 910, 910, 910, 910, 1341, 30492, 5475, 4657, 519, 4191, 267, 1039, 519, 2063, 26318, 689, 519, 16611, 9971, 547, 1265, 519, 1007, 26318, 563, 910, 1341, 910, 910, 910, 910, 910, 910, 1341, 1341, 30492, 763, 3803, 2626, 568, 519, 23479, 7132, 519, 14230, 936, 519, 27708, 563, 3721, 476, 273, 454, 7712, 519, 2063, 2165, 538, 519, 4611, 4082, 568, 513, 6824, 267, 519, 19362, 540, 519, 6824, 568, 519, 14230, 269, 0, 18199, 26214, 297, 16787, 288, 14044, 8212, 12524, 5319, 2809, 519, 1187, 540, 6323, 609, 13502, 256, 7982, 1575, 3135, 5291, 2517, 523, 2809, 269, 19148, 269, 660, 20692, 12975, 6745, 342, 270, 660, 20692, 329, 6072, 13045, 20103, 476, 1626, 267, 476, 1001, 280, 267, 476, 5400, 281, 4905, 281, 4097, 993, 692, 3682, 28698, 568, 7543, 1510, 1689, 282, 543, 1346, 945, 3112, 1689, 741, 8186, 3112, 1689, 4376, 269, 10371, 1701, 24730, 24527, 26396, 263, 5908, 276, 268, 4198, 271, 267, 9721, 5559, 520, 626, 267, 1557, 626, 543, 10404, 267, 17587, 15356, 585, 9085, 476, 4572, 276, 264, 5016, 9664, 281, 1496, 272, 316, 5231, 1109, 7883, 13560, 454, 8191, 13445, 281, 8562, 983, 5163, 281, 10231, 2141, 13902, 547, 6991, 476, 1109, 263, 5649, 476, 30589, 273, 2053, 264, 476, 271, 16840, 543, 476, 272, 2871, 652, 616, 13156, 713, 1888, 269, 8437, 547, 547, 24327, 2278, 1344, 263, 10339, 663, 5048, 1858, 1916, 1695, 4364, 19977, 325, 773, 454, 9556, 518, 1807, 454, 295, 3266, 16588, 692, 19423, 1467, 692, 15803, 281, 476, 4817, 275, 692, 16938, 2506, 5523, 713, 5048, 593, 281, 4873, 476, 5400, 267, 476, 1001, 271, 267, 476, 6187, 281, 6246, 281, 2004, 10681, 9732, 11540, 689, 281, 6347, 302, 13698, 8085, 302, 267, 6347, 302, 13698, 8085, 302, 32390, 6938, 313, 6579, 692, 1607, 1739, 813, 2280, 568, 8562, 983, 5163, 281, 10231, 2141, 13902, 547, 6991, 454, 32046, 676, 1527, 670, 342, 836, 3525, 1881, 676, 30277, 454, 24314, 605, 329, 551, 8562, 983, 5163, 281, 10231, 2141, 13902, 547, 6991, 692, 10907, 5120, 566, 568, 519, 2557, 540, 519, 6991, 1689, 267, 1775, 4318, 269, 4399, 11355, 21151, 4153, 25406, 21702, 18097, 315, 11355, 28452, 12453, 19049, 4151, 563, 10303, 6991, 568, 513, 6152, 267, 972, 616, 1082, 2081, 547, 1689, 6991, 912, 272, 269, 1689, 519, 9588, 540, 519, 6991, 630, 4219, 3432, 264, 1510, 1689, 621, 781, 4287, 563, 273, 269, 1689, 4287, 540, 519, 6991, 1510, 1689, 621, 781, 9588, 281, 713, 568, 519, 9764, 5163, 563, 274, 269, 1689, 1312, 9588, 543, 1463, 5406, 540, 519, 6991, 780, 2252, 519, 10231, 568, 538, 519, 4287, 540, 6991, 267, 519, 10231, 786, 1689, 519, 9588, 519, 540, 6991, 263, 4219, 3432, 1916, 4913, 267, 952, 519, 10231, 568, 2141, 13902, 547, 519, 6991, 267, 519, 6991, 786, 1689, 4287, 1510, 1689, 621, 781, 9588, 269, 901, 568, 519, 9764, 5163, 563, 3383, 267, 585, 9764, 5163, 267, 519, 3196, 263, 659, 5120, 566, 264, 2141, 13902, 547, 621, 781, 6991, 780, 2791, 666, 8749, 519, 6991, 547, 1689, 922, 4287, 543, 9588, 267, 519, 9588, 540, 519, 3196, 568, 4957, 676, 1793, 3187, 3046, 780, 21615, 539, 513, 4881, 5299, 540, 713, 11191, 692, 21615, 539, 513, 4881, 5299, 3095, 263, 19651, 11191, 538, 513, 1402, 1575, 539, 6885, 994, 17359, 5496, 813, 2280, 610, 9046, 13156, 28162, 286, 11754, 5291, 2517, 4178, 269, 19148, 269, 660, 20692, 12975, 6745, 342, 270, 547, 9868, 3135, 1592, 0, 22296, 2248, 539, 4654, 585, 596, 1384, 25567, 553, 692, 292, 2202, 692, 19370, 476, 8287, 692, 3682, 557, 4399, 7562, 1422, 3847, 263, 3393, 17353, 15132, 23180, 9507, 12757, 4153, 2431, 264, 10954, 7562, 1422, 3847, 263, 3393, 17353, 15132, 32757, 9507, 12757, 4153, 2431, 21174, 6912, 346, 273, 348, 1422, 6523, 1422, 9507, 12757, 10592, 2750, 13630, 20240, 454, 8794, 519, 2040, 3562, 1790, 6055, 4542, 585, 20534, 267, 649, 666, 4228, 543, 14458, 519, 2016, 4082, 607, 5205, 281, 476, 272, 269, 15233, 519, 2040, 3562, 1790, 6055, 4542, 281, 6695, 7562, 1422, 3847, 263, 3393, 17353, 15132, 23180, 9507, 12757, 4153, 2431, 264, 1341, 1422, 7562, 1422, 3847, 263, 3393, 17353, 15132, 32757, 9507, 12757, 4153, 2431, 264, 815, 22570, 7562, 263, 3393, 17353, 15132, 348, 9385, 6523, 7268, 9507, 1535, 264, 1341, 1422, 6523, 263, 3393, 17353, 15132, 348, 9385, 7562, 7268, 9507, 1535, 4297, 1341, 22570, 7562, 263, 3393, 17353, 15132, 348, 9385, 6523, 7268, 9507, 1535, 264, 910, 1422, 6523, 263, 3393, 17353, 15132, 348, 9385, 7562, 7268, 9507, 1535, 4297, 2330, 476, 273, 269, 28799, 899, 2474, 281, 3230, 273, 315, 7562, 263, 3393, 17353, 15132, 348, 9385, 6523, 7268, 9507, 1535, 14638, 476, 274, 269, 15240, 3482, 519, 1871, 540, 3230, 7562, 263, 3393, 23373, 15132, 264, 815, 1422, 2765, 346, 272, 7346, 6912, 346, 273, 24995, 281, 6695, 6912, 346, 273, 4153, 6523, 7268, 9507, 12757, 348, 14638, 9747, 267, 649, 4312, 9863, 519, 3961, 6695, 7562, 1422, 3847, 263, 3393, 17353, 15132, 23180, 9507, 12757, 4153, 2431, 264, 10954, 7562, 1422, 3847, 263, 3393, 17353, 15132, 32757, 9507, 12757, 4153 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 563, 26502, 14118, 9760, 2871, 10560, 12071, 1890, 912, 3080, 540, 519, 1034, 2629, 2188, 538, 8236, 21711, 568, 519, 11007, 540, 707, 2259, 269, 8617, 267, 5059, 267, 543, 20982, 2259, 7886, 786, 17108, 707, 3356, 563, 2005, 779, 711, 1175, 827, 875, 1454, 596, 2259, 855, 875, 3927, 596, 2259, 269, 11554, 593, 4480, 267, 1565, 2575, 3069, 267, 543, 4101, 3054, 609, 3309, 11964, 543, 6163, 666, 11880, 924, 707, 21711, 563, 7883, 1023, 543, 1306, 2869, 725, 912, 7312, 3853, 607, 513, 13176, 626, 1404, 513, 1713, 1909, 269, 25126, 945, 6663, 547, 1404, 2241, 8964, 585, 2123, 18399, 949, 3035, 21711, 5488, 982, 2576, 13197, 513, 4876, 607, 513, 3318, 22459, 563, 16966, 547, 2298, 1565, 2200, 267, 971, 607, 4245, 267, 18862, 267, 14292, 2835, 267, 543, 4810, 3610, 267, 666, 1683, 5583, 543, 4030, 602, 17108, 707, 1565, 7455, 563, 5278, 2043, 949, 723, 513, 2067, 19038, 3363, 585, 2575, 543, 4584, 909, 519, 13176, 811, 3533, 269, 1717, 267, 1256, 1346, 1510, 17916, 7574, 13007, 666, 1831, 31402, 13176, 1235, 609, 11428, 543, 2259, 563, 2252, 596, 723, 1991, 1995, 609, 2575, 267, 971, 607, 2542, 6656, 2575, 610, 1620, 2575, 3069, 267, 596, 949, 723, 513, 2212, 1376, 538, 30230, 4771, 13176, 2035, 543, 2553, 563, 1805, 1137, 540, 2871, 10560, 12071, 1890, 912, 288, 2151, 1324, 21711, 538, 13176, 4730, 3335, 3322, 1896, 5933, 912, 272, 269, 9978, 12071, 1890, 630, 277, 3275, 1107, 476, 272, 1032, 2187, 4263, 713, 3942, 267, 596, 666, 18390, 1404, 513, 3099, 540, 22334, 267, 1193, 636, 3270, 267, 543, 2241, 8964, 269, 1411, 723, 513, 2596, 1620, 540, 2575, 3069, 543, 666, 13173, 3054, 610, 1866, 538, 13680, 5468, 563, 273, 269, 29329, 12071, 1890, 630, 272, 1107, 476, 274, 1296, 2187, 1103, 23059, 21711, 14122, 513, 4514, 1702, 540, 22334, 267, 10253, 267, 543, 2575, 3069, 269, 1411, 666, 1404, 811, 1950, 8964, 267, 1685, 1151, 657, 267, 543, 1376, 27906, 2358, 269, 2659, 4480, 3587, 811, 15568, 563, 274, 269, 11628, 12071, 1890, 630, 274, 1107, 476, 276, 1296, 2187, 1103, 519, 4359, 3942, 267, 596, 666, 10994, 4101, 4773, 267, 17492, 707, 2575, 267, 543, 5490, 883, 4359, 2553, 899, 9416, 5882, 267, 19755, 267, 543, 26378, 269, 1411, 723, 513, 2178, 9787, 540, 2575, 3069, 563, 275, 269, 9457, 344, 630, 276, 266, 1296, 2187, 22913, 344, 4564, 519, 5207, 1377, 540, 21711, 267, 1141, 596, 723, 4378, 539, 707, 2189, 7574, 2511, 267, 666, 1404, 4075, 340, 657, 545, 4773, 267, 543, 949, 1256, 11654, 513, 4876, 607, 513, 3318, 22459, 269, 9457, 344, 568, 606, 5571, 3460, 563, 763, 15415, 547, 3035, 13176, 21711, 568, 711, 1305, 538, 6149, 543, 666, 4268, 3648, 1759, 593, 1367, 2188, 269, 1548, 779, 1034, 1271, 568, 9301, 602, 519, 3460, 540, 4742, 513, 31402, 13176, 626, 568, 513, 6024, 1184, 540, 2208, 267, 1565, 267, 543, 1582, 22325, 563, 763, 1883, 547, 8236, 21711, 568, 513, 4999, 540, 11428, 267, 5812, 2259, 267, 2298, 1565, 2200, 267, 543, 4259, 10853, 3853, 269, 6787, 596, 3914, 21711, 538, 513, 1906, 1296, 610, 1491, 3476, 547, 798, 865, 267, 519, 6612, 585, 1818, 2575, 543, 519, 7772, 540, 4730, 519, 13176, 786, 1118, 1169, 1900, 540, 519, 3460, 513, 14785, 1995, 269, 22737, 519, 1184, 267, 2972, 519, 2575, 267, 543, 1577, 707, 13176, 4730, 21711, 1020, 693, 922, 1378, 10605, 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 ]
[ 17776, 540, 519, 808, 2664, 454, 268, 700, 9680, 302, 10060, 12668, 281, 667, 5514, 24079, 9210, 529, 3941, 594, 268, 7656, 630, 7343, 8986, 607, 10414, 6891, 543, 538, 8755, 10587, 994, 268, 10060, 12668, 281, 30982, 540, 32445, 454, 306, 1545, 314, 539, 527, 1923, 12575, 2707, 2639, 268, 834, 17442, 4875, 22087, 257, 1765, 30252, 12668, 6184, 3187, 476, 5611, 454, 268, 10060, 12668, 281, 634, 10414, 21220, 752, 839, 281, 634, 10439, 9218, 454, 268, 10060, 12668, 281, 13235, 268, 274, 17269, 454, 268, 10060, 12668, 281, 13159, 16511, 725, 454, 268, 10060, 12668, 281, 681, 4084, 2290, 281, 634, 31597, 10439, 6651, 454, 268, 10060, 12668, 281, 20121, 4176, 1107, 21220, 2586, 902, 630, 25205, 281, 3738, 630, 303, 27348, 1152, 994, 268, 10060, 12668, 4477, 5471, 14635, 476, 272, 630, 11947, 7547, 540, 519, 590, 15676, 281, 667, 3241, 538, 13192, 4975, 994, 268, 10060, 12668, 4477, 5471, 14635, 476, 2641, 630, 13900, 332, 1115, 281, 918, 2643, 334, 11412, 994, 268, 10060, 12668, 281, 12706, 2659, 13574, 681, 273, 5937, 273, 476, 276, 630, 291, 5514, 30615, 281, 476, 273, 268, 272, 289, 1606, 7685, 6481, 667, 28281, 267, 3487, 476, 272, 264, 630, 303, 27348, 1152, 994, 268, 10060, 12668, 281, 12706, 2659, 13574, 681, 273, 5937, 273, 476, 278, 630, 291, 5514, 30615, 281, 700, 6865, 1606, 7685, 16257, 667, 28281, 264, 630, 303, 27348, 1152, 994, 268, 10060, 12668, 281, 12706, 2659, 13574, 681, 273, 5937, 273, 476, 279, 630, 19465, 519, 30982, 281, 634, 1284, 777, 517, 540, 513, 808, 2664, 264, 630, 303, 27348, 1152, 994, 268, 10060, 12668, 281, 634, 10439, 15610, 454, 268, 10060, 12668, 4477, 5471, 14635, 476, 3066, 630, 11947, 7547, 540, 519, 590, 15676, 281, 634, 7276, 22367, 7719, 7982, 26695, 268, 10060, 12668, 281, 6181, 542, 1107, 6181, 542, 11759, 5590, 630, 25205, 281, 3738, 630, 3725, 1170, 4240, 538, 11023, 628, 966, 14575, 2155, 6387, 28841, 994, 268, 10060, 12668, 281, 6181, 542, 1107, 6181, 542, 11759, 5590, 630, 25205, 281, 3738, 630, 3725, 1170, 4240, 538, 5455, 14079, 9315, 13268, 264, 630, 303, 27348, 1152, 994, 268, 10060, 12668, 28691, 629, 619, 281, 589, 6651, 547, 1284, 777, 976, 540, 519, 10414, 630, 303, 27348, 1152, 994, 268, 10060, 12668, 4477, 5471, 14635, 476, 7761, 630, 291, 520, 629, 1678, 589, 19053, 281, 631, 864, 654, 8114, 264, 630, 303, 27348, 1152, 994, 268, 10060, 12668, 10886, 15610, 267, 1715, 9990, 454, 268, 570, 23966, 674, 7660, 13574, 619, 262, 22544, 15015, 454, 268, 25578, 4721, 543, 17726, 619, 454, 268, 18557, 20155, 281, 634, 13495, 531, 20187, 1107, 834, 17445, 532, 4840, 268, 18557, 20155, 281, 634, 13495, 531, 20187, 1107, 834, 26765, 2329, 4840, 268, 18557, 20155, 281, 634, 13495, 531, 20187, 1107, 834, 290, 770, 4840, 268, 18557, 20155, 281, 634, 13495, 531, 20187, 1107, 834, 22897, 4840, 268, 18557, 20155, 281, 634, 13495, 531, 20187, 1107, 834, 303, 24411, 4840, 268, 18557, 20155, 281, 634, 13495, 531, 20187, 1107, 834, 30360, 4840, 268, 10060, 12668, 281, 634, 28691, 629, 518, 14635, 454, 24687, 543, 8100, 314, 539, 527, 1923, 12575, 2707, 2639, 268, 10060, 12668, 9210, 28964, 10001, 589, 1715, 16593, 454, 268, 10060, 12668, 281, 634, 1849, 821, 12668, 1107, 834, 306, 659, 337, 12715, 4840, 268, 10060, 12668, 281, 9210, 28964, 8633, 1234, 1597, 613, 540, 519, 590, 603, 454, 268, 10060, 12668, 281, 634, 1849, 821, 12668, 1107, 834, 763, 4521, 1652, 4840, 268, 10060, 12668, 281, 9210, 28964, 17886, 17776, 540, 519, 808, 2664, 454, 268, 17776, 540, 519, 808, 2664, 281, 645, 1168, 732, 519, 5295, 540, 519, 14730, 17121, 2336, 268, 10060, 12668, 281, 634, 7831, 808, 2664, 281, 634, 10439, 9218, 454, 268, 10060, 12668, 281, 634, 22547, 540, 21708, 19769, 518, 281, 30771, 539, 9990, 454, 268, 10060, 12668, 281, 634, 22547, 540, 21708, 19769, 518, 281, 634, 10439, 9218, 454, 268, 10060, 12668, 281, 9210, 28964, 23446, 634, 10414, 21220, 752, 839, 454, 268, 10060, 12668, 281, 9210, 28964, 26577, 634, 22547, 540, 21708, 19769, 518, 454, 268, 10060, 12668, 281, 634, 22547, 540, 21708, 19769, 518, 281, 589, 28133, 23397, 454, 268, 10060, 12668, 31666, 7701, 281, 589, 3778, 540, 29480, 3203, 538, 519, 30982, 20964, 602, 519, 8895, 12519, 6243, 729, 8547, 693, 519, 1439, 540, 519, 808, 2664, 4149, 603, 2782, 267, 689, 799, 11023, 628, 645, 2033, 7153, 607, 519, 6852, 31848, 267, 2687, 547, 31597, 10060, 12668, 269, 634, 5449, 1433, 849, 2829, 602, 519, 6243, 2760, 6603, 513, 8536, 1296, 538, 922, 6228, 1354, 621, 729, 15702, 267, 799, 10060, 12668, 281, 8895, 12519, 25304, 7389, 547, 476, 866, 29851, 312, 269, 1306, 519, 10060, 12668, 281, 634, 1849, 821, 12668, 12558, 834, 306, 659, 337, 12715, 257, 20964, 602, 645, 2033, 2813, 519, 14329, 540, 5565, 1310, 519, 808, 2664, 4149, 603, 2782, 267, 621, 1590, 723, 1044, 2813, 1310, 476, 6200, 280, 29851, 312, 563, 268, 10060, 12668, 4477, 5471, 14635, 476, 273, 630, 291, 520, 629, 1678, 589, 19053, 281, 19264, 6319, 994, 268, 769, 10060, 12668, 281, 9210, 28964, 594, 634, 1912, 656, 558, 9093, 864, 267, 808, 2664, 9457, 962, 18649, 2829, 602, 972, 1223, 1152, 581, 1079, 590, 603, 700, 3581, 693, 513, 942, 282, 513, 14329, 540, 5565, 729, 538, 1747, 540, 590, 603, 19588, 267, 607, 6045, 538, 519, 10060, 12668, 281, 634, 1849, 821, 12668, 12558, 834, 306, 659, 337, 12715, 1701, 4595, 11023, 628, 28788, 1190, 543, 11023, 628, 631, 4954, 941, 519, 1079, 14730, 700, 3581, 1282, 634, 1912, 656, 558, 9093, 864, 267, 799, 10060, 12668, 281, 8895, 12519, 25304, 7389, 547, 476, 3953, 29851, 312, 267, 543, 602, 11023, 628, 1773, 6558, 529, 729, 28788, 1190, 262, 590, 603, 9457, 2687, 547, 10060, 310, 1513, 2593, 781, 13096, 629, 1678, 267, 1773, 6558, 529, 1185, 547, 723, 1044, 519, 590, 603, 7258, 1010, 22961, 823, 1354, 519, 2140, 540, 11023, 628, 267, 543, 8754, 519, 25136, 540, 8011, 532, 519, 6967, 1747, 540, 519, 14329, 540, 5565, 267, 729, 24705, 1042, 547, 631, 4954, 267, 799, 1185, 1044, 865, 676, 519, 2621, 540, 634, 1912, 656, 558, 9093, 864, 267, 538, 476, 3953, 29851, 312, 563, 268, 10060, 12668, 281, 8895, 12519, 25304, 454, 268, 10060, 12668, 281, 9210, 28964, 594, 634, 1912, 656, 558, 9093, 864, 454, 268, 10060, 12668, 281, 25999, 18421, 1411, 10261, 547, 5700, 454, 268, 10060, 12668, 281, 9210, 28964, 4083, 31105, 540, 519, 1849, 2158, 454, 268, 10060, 12668, 281, 634, 1849, 821, 12668, 1107, 834, 292, 2381, 775, 257, 0, 14818, 7813, 1280, 12708, 338, 540, 21834, 476, 280, 628, 9990, 454, 25456, 3848, 12989, 912, 29973, 338, 540, 21834, 267, 476, 280, 324, 267, 630, 298, 29888, 1696, 620, 8094, 6637, 476, 272, 4985, 547, 21834, 454, 272, 264, 769, 519, 476, 8182, 271, 338, 267, 5261, 29542, 6594, 12093, 543, 1646, 269, 1548, 568, 519, 2165, 2016, 547, 519, 3069, 799, 2829, 602, 606, 11248, 10953, 689, 519, 6992, 1242, 4212, 676, 513, 19588, 540, 11095, 2621, 602, 1291, 547, 606, 2937, 888, 268, 589, 264, 840, 4146, 454, 268, 645, 264, 18615, 4806, 5250, 454, 268, 595, 264, 1226, 1049, 7004, 454, 268, 667, 264, 1098, 9134, 454, 268, 661, 264, 27981, 8412, 454, 273, 264, 1548, 568, 519, 2165, 2016, 547, 519, 3069, 799, 2829, 602, 519, 6992, 1242, 4212, 3568, 513, 2347, 20538, 2937, 888, 268, 589, 264, 840, 4146, 454, 268, 645, 264, 1098, 9134, 454, 268, 595, 264, 7004, 454, 268, 667, 264, 17788, 566, 454, 268, 661, 264, 1591, 3069, 454, 274, 264, 1548, 568, 519, 2165, 2016, 547, 519, 3069, 799, 2322, 8521, 519, 2856, 602, 2713, 7103, 1223, 8451, 676, 17861, 908, 1875, 331, 1516, 3334, 888, 268, 589, 264, 21245, 5108, 454, 268, 645, 264, 2067, 5542, 454, 268, 595, 264, 4720, 454, 268, 667, 264, 840, 4146, 454, 268, 661, 264, 7104, 4999, 454, 275, 264, 5808, 267, 2059, 609, 21238, 28615, 267, 19775, 519, 3069, 540, 2067, 5542, 888, 268, 589, 264, 15535, 528, 21780, 601, 454, 268, 645, 264, 5261, 29542, 454, 268, 595, 264, 8402, 30854, 584, 454, 268, 667, 264, 8176, 16817, 454, 268, 661, 264, 6276, 23846, 454, 276, 264, 8745, 835, 540, 519, 7762, 534, 1235, 945, 267, 538, 476, 5002, 271, 267, 2699, 4593, 2642, 519, 960, 540, 15535, 528, 21780, 601, 563, 12585, 281, 14161, 4856, 27231, 267, 18018, 334, 632, 966, 1845, 267, 661, 5341, 570, 2675, 615, 332, 752, 454, 277, 264, 5808, 729, 519, 4864, 15687, 31494, 602, 5342, 513, 8717, 540, 6901, 593, 519, 4677, 890, 320, 267, 5555, 6029, 602, 7592, 616, 5293, 689, 3237, 547, 15556, 538, 22150, 2081, 888, 268, 589, 264, 14731, 595, 4459, 454, 268, 645, 264, 21238, 28615, 454, 268, 595, 264, 26194, 20215, 454, 268, 667, 264, 17127, 454, 268, 661, 264, 15535, 528, 21780, 601, 454, 278, 264, 769, 1082, 2249, 267, 972, 616, 1079, 13222, 540, 1142, 15694, 269, 769, 971, 2249, 267, 519, 8984, 1297, 540, 15954, 568, 1572, 519, 13322, 1297, 269, 898, 568, 2356, 3090, 1242, 607, 13322, 563, 268, 589, 264, 688, 30666, 282, 562, 454, 268, 645, 264, 688, 30666, 282, 476, 273, 333, 454, 268, 595, 264, 9733, 1355, 282, 476, 273, 333, 454, 268, 667, 264, 9733, 1355, 282, 562, 454, 268, 661, 264, 7183, 540, 519, 4267, 7396, 568, 2953, 563, 279, 264, 21834, 568, 519, 1353, 540, 13322, 563, 268, 589, 264, 19021, 640, 543, 8390, 454, 268, 645, 264, 15817, 543, 21748, 454, 268, 595, 264, 16606, 543, 8144, 454, 268, 667, 264, 9733, 1355, 543, 688, 30666, 454, 268, 661, 264, 18643, 543, 21921, 1588, 454, 280, 264, 7216, 538, 519, 14206, 2540, 267, 19124, 27659, 2023, 543, 23323, 528, 645, 1478, 328, 7074, 602, 519, 2623, 540, 15954, 1282, 32450, 568, 9838, 547, 519, 2623, 540, 6090, 1282, 13708, 23176, 5250, 269, 1358, 6069, 602, 6090, 616, 5645, 593, 15954, 267, 799, 3366, 547, 519, 4493, 540, 519, 13322, 563, 12585, 281, 26537, 25593, 7869, 540, 769, 615, 13330, 454, 1015, 264, 1548, 568, 513, 15817, 888, 12585, 281, 589, 15817, 568, 3989, 607, 1022, 26988, 1689, 538, 519, 5027, 5311, 563, 1556, 264, 1548, 568, 513, 2241, 4214, 540, 606, 27446, 888, 12585, 281, 1323, 27446, 568, 513, 14583, 1106, 540, 513, 5444, 563, 1321, 264, 19402, 519, 4571, 268, 3707, 271, 338, 267, 1082, 3744, 2808, 5946, 547, 581, 519, 2693, 10457, 585, 519, 4719, 1570, 269, 4208, 888, 12585, 281, 26287, 1231, 616, 519, 1034, 10731, 267, 24080, 7856, 3334, 538, 2281, 269, 1358, 941, 2808, 2693, 10457, 1317, 540, 741, 1390, 7293, 543, 6198, 4763, 563, 1724, 264, 8745, 519, 1367, 945, 267, 1247, 2324, 609, 519, 4677, 890, 320, 538, 519, 4571, 268, 6977, 271, 338, 267, 7152, 11050, 3270, 540, 19021, 640, 543, 2919, 513, 3069, 5473, 519, 2623, 540, 22420, 2188, 563, 12585, 281, 15535, 528, 21780, 601, 454, 1691, 264, 1548, 1281, 519, 2165, 11976, 1611, 888, 12585, 281, 21834, 568, 513, 1016, 4134, 23002, 540, 7350, 7255, 609, 519, 1353, 540, 19021, 640, 543, 8390, 693, 519, 7636, 267, 10408, 267, 11095, 267, 11248, 531, 267, 543, 17069, 1049, 2157, 563, 1428, 264, 8745, 1079, 2043, 945, 3177, 519, 12497, 4493, 585, 938, 1459, 1620, 602, 6090, 616, 593, 15954, 563, 12585, 281, 19124, 27659, 2023, 543, 23323, 528, 645, 1478, 328, 454, 1626, 264, 1548, 2165, 568, 1031, 547, 4766, 519, 1249, 602, 1114, 6090, 538, 606, 11248, 1419, 1683, 3604, 538, 28507, 2934, 888, 1704, 264, 1548, 2165, 4016, 547, 519, 16726, 1063, 3237, 543, 15556, 543, 1018, 2165, 4016, 547, 519, 3668, 540, 16726, 1063, 3237, 543, 15556, 888, 12585, 281, 670, 1229, 640, 4016, 547, 519, 16726, 1063, 3237, 543, 15556, 543, 519, 16726, 540, 2818, 540, 519, 1482, 2249, 269, 7352, 566, 4016, 547, 519, 3668, 540, 16726, 1063, 3237, 543, 15556, 543, 2818, 540, 519, 1482, 2249, 563, 1240, 264, 20010, 3029, 540, 513, 5444, 616, 1572, 13322, 563, 866, 264, 634, 1585, 4162, 540, 7103, 602, 1267, 689, 741, 4719, 17539, 616, 15217, 5219, 547, 607, 606, 11248, 779, 13322, 563, 736, 264, 8745, 519, 6219, 602, 5713, 607, 519, 22420, 1570, 538, 24087, 4925, 543, 605, 28648 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3812, 513, 2565, 1560, 540, 3332, 602, 711, 1152, 12873, 519, 6215, 8576, 1014, 1893, 855, 849, 21490, 519, 1259, 585, 519, 1646, 540, 513, 2413, 5339, 1893, 563, 294, 1090, 332, 1513, 267, 21594, 267, 12583, 267, 9499, 267, 16627, 540, 3909, 543, 16712, 5931, 689, 5824, 543, 4436, 267, 519, 1101, 14786, 267, 3312, 4249, 543, 2413, 5339, 14624, 941, 519, 1292, 1797, 547, 4688, 519, 6215, 8576, 1014, 1893, 543, 6318, 3084, 4656, 563, 763, 476, 3192, 273, 1795, 13678, 850, 1065, 11781, 540, 4460, 334, 623, 2129, 4802, 267, 16515, 544, 2728, 14850, 539, 529, 515, 1726, 327, 795, 525, 1731, 990, 815, 30605, 568, 339, 281, 546, 553, 737, 548, 710, 654, 23152, 614, 321, 1276, 538, 546, 9445, 523, 1975, 2350, 1156, 815, 2372, 617, 1609, 281, 1612, 341, 636, 546, 2109, 10740, 959, 4979, 826, 630, 299, 329, 28362, 329, 3570, 267, 18222, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 14298, 18426, 13316, 1315, 28668, 1315, 8836, 1299, 4317, 1315, 13834, 32018, 543, 14740, 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, 14295, 2762, 543, 10934, 3778, 281, 1133, 557, 4979, 519, 2622, 998, 21476, 692, 296, 269, 4985, 692, 300, 2355, 723, 1044, 15747, 538, 5935, 938, 1620, 540, 519, 1158, 543, 922, 16221, 4529, 267, 5054, 267, 543, 12583, 269, 1306, 3140, 13742, 267, 7851, 7866, 1454, 827, 519, 7239, 602, 2813, 873, 267, 17766, 1769, 593, 741, 1702, 267, 11994, 267, 543, 17050, 269, 769, 713, 1770, 267, 649, 5490, 883, 519, 4241, 7706, 540, 7047, 2762, 543, 4786, 1686, 267, 3695, 875, 3504, 4786, 16234, 899, 3057, 19434, 519, 14977, 6929, 543, 19863, 3780, 623, 1729, 548, 3240, 8329, 547, 519, 1646, 540, 10923, 1702, 269, 1635, 6313, 741, 1568, 267, 3226, 519, 10934, 540, 3057, 19434, 519, 14977, 6929, 543, 19863, 3780, 623, 1729, 548, 3240, 781, 2983, 1748, 807, 267, 649, 786, 10625, 519, 1950, 3347, 1063, 11837, 267, 2528, 267, 543, 1379, 780, 2862, 269, 634, 9147, 3203, 540, 14295, 2762, 692, 288, 269, 17959, 540, 14295, 2762, 692, 6524, 11362, 883, 519, 1808, 7418, 540, 3057, 19434, 519, 14977, 6929, 543, 19863, 3780, 623, 1729, 548, 3240, 267, 621, 568, 1898, 547, 1174, 519, 6626, 2796, 540, 2038, 7047, 4919, 2853, 269, 7216, 3425, 16941, 8185, 593, 5711, 5389, 543, 2790, 7851, 547, 6330, 741, 10450, 282, 2705, 267, 519, 8798, 540, 1603, 1949, 1472, 476, 17168, 271, 14514, 13087, 811, 4977, 11269, 540, 8901, 1344, 269, 2368, 540, 519, 9998, 1634, 7851, 4266, 1394, 547, 23104, 1014, 12977, 971, 607, 5681, 518, 2103, 543, 20770, 2103, 267, 945, 13269, 741, 4872, 267, 11182, 267, 543, 18477, 4703, 593, 10036, 14342, 269, 11531, 267, 12266, 13099, 344, 686, 7604, 1078, 6946, 1283, 7240, 2934, 2059, 519, 20407, 5211, 543, 4478, 2127, 269, 1452, 2038, 8942, 693, 11837, 9788, 519, 24536, 585, 2104, 5481, 540, 7047, 20802, 780, 289, 269, 18774, 523, 2065, 14295, 2762, 692, 31528, 10340, 5129, 513, 2629, 1909, 538, 14027, 7047, 4919, 2553, 1282, 519, 18190, 1974, 630, 4335, 1700, 26825, 14514, 1040, 25408, 267, 1323, 1314, 574, 6387, 267, 513, 14544, 689, 631, 850, 339, 639, 267, 9112, 835, 540, 519, 1101, 1634, 1158, 7851, 1759, 593, 6310, 3741, 1472, 476, 7785, 14514, 269, 901, 6825, 513, 1713, 6521, 2509, 513, 811, 3621, 1935, 547, 7047, 2762, 267, 10771, 9511, 267, 17651, 267, 543, 12170, 7422, 269, 13536, 5259, 15806, 267, 22697, 267, 543, 19936, 4797, 17975, 891, 2409, 267, 28285, 538, 661, 7806, 739, 1156, 525, 262, 9819, 540, 3047, 781, 18592, 538, 519, 3791, 2540, 14514, 269, 3571, 7447, 729, 26526, 2673, 547, 2413, 7403, 267, 11744, 519, 30483, 540, 18774, 523, 2065, 7047, 2762, 780, 7656, 269, 3057, 19434, 519, 14977, 6929, 281, 5890, 21505, 21222, 976, 692, 11767, 3057, 19434, 519, 14977, 6929, 267, 513, 13983, 1723, 7304, 2674, 2520, 19212, 3742, 1282, 519, 3735, 2034, 2540, 9460, 269, 4014, 2370, 568, 1634, 827, 1010, 1272, 267, 1010, 3172, 636, 1566, 639, 1107, 11331, 2901, 2983, 1748, 11986, 610, 3131, 328, 15200, 3057, 529, 1696, 700, 3218, 529, 19612, 1107, 3648, 12936, 7766, 7047, 4919, 7835, 269, 10251, 267, 519, 3312, 12377, 814, 1044, 4503, 547, 942, 267, 6028, 5640, 547, 7048, 593, 2663, 14624, 267, 1034, 16113, 19863, 3780, 623, 1729, 548, 3240, 781, 25465, 540, 3057, 15687, 1239, 883, 1010, 2983, 1748, 807, 780, 288, 269, 30404, 13979, 692, 11321, 19434, 5189, 1896, 10124, 547, 519, 2361, 540, 7047, 2762, 267, 1519, 9750, 519, 1634, 19976, 6708, 540, 519, 20948, 1158, 630, 334, 1731, 537, 332, 2940, 264, 3564, 3105, 7182, 1305, 676, 18135, 2692, 269, 1261, 849, 4824, 11282, 1949, 267, 12270, 519, 8608, 883, 10851, 6252, 547, 519, 20337, 543, 7893, 9883, 2059, 5789, 573, 1308, 3515, 2864, 982, 1390, 10580, 269, 5047, 267, 3057, 19434, 7471, 1007, 10923, 1344, 5833, 689, 4207, 17701, 267, 18318, 267, 543, 17631, 267, 4611, 538, 513, 811, 3102, 2070, 540, 519, 1158, 780, 289, 269, 2552, 7337, 344, 543, 13891, 622, 692, 8601, 3057, 19434, 262, 3646, 547, 4434, 7047, 4919, 1702, 267, 1010, 960, 17275, 15784, 1851, 8284, 30921, 269, 2290, 8037, 10404, 729, 19863, 3780, 623, 1729, 548, 3240, 267, 945, 3576, 3390, 609, 1978, 3344, 540, 3057, 19434, 262, 10923, 1523, 687, 269, 4107, 28020, 267, 623, 1729, 548, 3240, 31713, 3057, 19434, 262, 16759, 540, 519, 522, 1731, 537, 332, 2940, 781, 3259, 267, 19163, 585, 513, 7522, 518, 12732, 540, 476, 5197, 5232, 3079, 540, 3057, 19434, 262, 6069, 476, 18597, 5232, 269, 1717, 267, 607, 649, 4927, 1294, 2663, 267, 972, 568, 2963, 11021, 602, 623, 1729, 548, 3240, 949, 723, 31205, 7550, 3057, 19434, 262, 6482, 1310, 782, 780, 4353, 269, 19863, 3780, 623, 1729, 548, 3240, 281, 3117, 13521, 908, 2983, 7240, 11310, 692, 290, 5055, 644, 3780, 623, 1729, 548, 3240, 267, 1776, 9565, 4137, 538, 3504, 7047, 2762, 267, 5030, 1282, 519, 2034, 2540, 9460, 538, 28641, 267, 5527, 269, 2755, 1655, 1634, 585, 1010, 960, 538, 6128, 267, 25852, 267, 543, 31826, 267, 623, 1729, 548, 3240, 1500, 11972, 7418, 547, 11585, 543, 7047, 2762, 998, 1010, 25761, 1521, 1047, 2983, 1748, 807, 269, 14301, 2390, 1585, 2959, 267, 1519, 3057, 19434, 519, 14977, 6929, 267, 623, 1729, 548, 3240, 16432, 513, 5318, 23789, 540, 10923, 1702, 1247, 10962, 3209, 7047, 4919, 6436, 543, 2553, 780, 288, 269, 2983, 1748, 807, 281, 589, 3281, 754, 1756, 540, 2983, 7240, 6176, 692, 10481, 1748, 807, 5161, 540, 1079, 1292, 6810, 281, 7811, 543, 4052, 269, 634, 5449, 14592, 2489, 3741, 540, 4786, 14708, 267, 10974, 267, 543, 20327, 267, 6466, 519, 8545, 2488, 8638, 540, 4025, 10483, 676, 4234, 15994, 543, 19976, 10974, 269, 12830, 569, 267, 623, 1729, 548, 3240, 3769, 7851, 20515, 1010, 10923, 11673, 267, 1818, 2983, 1748, 807, 606, 16832, 4199, 585, 10120, 543, 11193, 4786, 16234, 780, 289, 269, 12474, 1190, 20556, 609, 3057, 19434, 692, 2026, 5018, 4505, 267, 623, 1729, 548, 3240, 7722, 538, 12699, 9840, 609, 3057, 19434, 3823, 2152, 971, 607, 519, 2450, 540, 519, 522, 1731, 537, 332, 2940, 269, 6736, 1010, 30852, 267, 623, 1729, 548, 3240, 5526, 547, 723, 22666, 14916, 689, 3057, 19434, 262, 960, 267, 6220, 1454, 540, 1010, 1239, 543, 16097, 883, 2983, 1748, 807, 269, 5015, 267, 2487, 1382, 5267, 602, 623, 1729, 548, 3240, 1522, 723, 1071, 3200, 569, 6964, 3057, 19434, 262, 3476, 522, 1731, 537, 332, 2940, 2268, 950, 14335, 1010, 7851, 267, 16213, 8969, 593, 1010, 9277, 18349, 540, 3057, 15687, 2093, 780, 309, 269, 10390, 692, 1103, 3932, 267, 519, 1353, 540, 3504, 7047, 2762, 3091, 3407, 4030, 883, 1480, 1686, 267, 13031, 9687, 11994, 540, 2230, 267, 1747, 267, 543, 3961, 2429, 519, 6502, 269, 22955, 899, 3057, 19434, 519, 14977, 6929, 543, 19863, 3780, 623, 1729, 548, 3240, 1796, 607, 1449, 14613, 547, 8103, 781, 1202, 520, 4192, 7279, 543, 8990, 547, 1118, 2631, 540, 519, 1158, 1472, 873, 269, 4256, 23543, 3136, 11121, 4207, 3173, 543, 4786, 12439, 7567, 267, 22348, 721, 602, 1256, 538, 2221, 781, 5736, 540, 15870, 15408, 543, 5616, 21476, 267, 972, 3788, 1454, 547, 3605, 543, 1451, 689, 938, 7104, 2250, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 4786, 540, 3057, 19434, 519, 14977, 6929, 568, 538, 1249, 519, 4786, 1031, 676, 19863, 3780, 623, 1729, 548, 3240, 855, 6537, 593, 513, 1114, 1989, 1738, 2544, 269, 589, 2241, 7634, 540, 519, 1257, 540, 19863, 3780, 623, 1729, 548, 3240, 8761, 602, 1249, 563, 9827, 8612, 267, 5103, 519, 13889, 725, 676, 623, 1729, 548, 3240, 7282, 519, 3259, 540, 519, 522, 1731, 537, 332, 2940, 2016, 676, 3057, 19434, 267, 568, 519, 1249, 602, 623, 1729, 548, 3240, 2965, 3096, 519, 1482, 3259, 267, 4352, 646, 13290, 547, 12404, 519, 1249, 267, 547, 3313, 1010, 522, 1731, 537, 332, 2940, 540, 1152, 476, 5197, 5232, 563, 763, 11271, 5627, 519, 1239, 30289, 547, 3057, 19434, 519, 14977, 6929, 616, 607, 5205, 281, 630, 8923, 4063, 585, 16134, 594, 993, 1210, 519, 21862, 21672, 1257, 26333, 994, 6224, 22790, 476, 277, 281, 12164, 290, 30204, 5058, 5990, 23817, 22593, 295, 13965, 715, 2752, 6938, 16739, 5508, 27107, 2562, 4785, 454, 4263, 519, 4098, 540, 519, 3184, 267, 19863, 3780, 623, 1729, 548, 3240, 2829, 267, 968, 2252, 649, 4983, 5702, 1010, 630, 11321, 19434, 264, 2063, 960, 649, 1265, 1906, 12889, 269, 898, 1131, 3100, 547, 581, 2614, 585, 721, 547, 4766, 519, 3618, 593, 799, 649, 17743, 689, 1010, 6085, 2456, 4805, 267, 1510, 824, 13753, 3034, 3719, 623, 1729, 548, 3240, 538, 10503, 519, 3618, 689, 1346, 6085, 2456, 954, 915, 338, 1010, 1378, 4978, 543, 620, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 290, 691, 2762, 543, 10934, 3778, 257, 607, 851, 540, 834, 19615, 1315, 8466, 17323, 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, 7170, 281, 1215, 547, 5269, 2659, 13574, 13067, 17360, 6428, 611, 667, 7675, 692, 272, 269, 20283, 707, 5820, 281, 1677, 1118, 19471, 19997, 19703, 267, 596, 786, 991, 930, 2596, 5820, 971, 607, 14462, 3282, 267, 16693, 630, 528, 11993, 10433, 1070, 28401, 267, 9932, 610, 4006, 267, 6070, 267, 543, 14723, 269, 1411, 949, 849, 1616, 547, 1039, 824, 5820, 899, 13342, 267, 11922, 267, 610, 14546, 4470, 593, 707, 13283, 269, 11109, 782, 707, 5820, 4712, 1354, 4358, 786, 2327, 513, 5347, 5986, 1184, 563, 273, 269, 32341, 593, 519, 1826, 540, 19703, 281, 1703, 616, 1082, 2010, 540, 19997, 10571, 902, 596, 666, 1118, 693, 1753, 267, 971, 607, 642, 2088, 580, 4958, 974, 267, 27598, 267, 610, 8126, 344, 269, 3962, 1826, 814, 922, 1378, 2189, 6492, 543, 9403, 267, 865, 3442, 835, 1759, 593, 707, 2123, 7375, 543, 1018, 2186, 540, 19997, 596, 616, 7674, 269, 1280, 1383, 267, 513, 5929, 642, 2088, 580, 4958, 974, 1131, 960, 1390, 609, 513, 3039, 19997, 267, 1247, 513, 27598, 19703, 1522, 581, 1655, 14018, 585, 513, 18437, 19997, 563, 274, 269, 12763, 707, 5820, 281, 2422, 7893, 838, 9398, 543, 11680, 547, 8308, 2268, 856, 707, 5820, 269, 901, 5849, 5812, 2164, 1169, 942, 543, 2636, 596, 547 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 515, 1091, 14606, 661, 12509, 543, 20767, 2939, 566, 13845, 320, 6019, 12754, 11094, 10588, 590, 680, 1662, 11761, 4386, 593, 519, 2627, 540, 519, 3037, 267, 950, 5536, 616, 19774, 676, 519, 3196, 540, 9991, 986, 785, 28979, 563, 9515, 564, 11761, 4386, 950, 4764, 568, 9991, 5488, 982, 3037, 666, 10110, 621, 267, 4929, 1216, 547, 2445, 543, 2095, 936, 519, 2666, 269, 4993, 8274, 540, 12333, 19296, 267, 8092, 11752, 832, 543, 2983, 5505, 630, 290, 21990, 30600, 294, 17821, 324, 264, 13397, 10234, 1627, 16256, 9751, 5358, 269, 3117, 11962, 609, 23621, 4993, 8943, 540, 22769, 3296, 8943, 540, 12333, 18430, 267, 513, 595, 21990, 30600, 294, 17821, 324, 4927, 1683, 3028, 585, 513, 1788, 538, 513, 6073, 602, 568, 5812, 609, 519, 4031, 267, 9479, 267, 3921, 333, 1734, 543, 6042, 10858, 547, 602, 1788, 563, 27908, 619, 15880, 814, 3875, 2144, 5317, 8492, 269, 14606, 11761, 2164, 538, 3037, 1373, 1033, 3737, 267, 5645, 2476, 267, 543, 5555, 20024, 11992, 269, 898, 568, 513, 2067, 1184, 267, 543, 8933, 543, 524, 872, 802, 6923, 3180, 3037, 267, 16005, 621, 538, 930, 4025, 543, 4584, 621, 909, 538, 824, 4025, 563, 763, 1739, 2326, 786, 5351, 3959, 5411, 609, 1697, 11761, 1852, 593, 4609, 8697, 676, 910, 27852, 14600, 12720, 9669, 585, 5851, 14935, 630, 14457, 264, 4964, 24793, 593, 4975, 661, 12509, 6513, 27557, 630, 14457, 264, 2422, 995, 9669, 585, 27686, 5455, 12891, 543, 1546, 11421, 630, 14457, 264, 6858, 18336, 763, 30159, 15880, 9605, 538, 2904, 14616, 476, 275, 267, 25614, 538, 519, 10239, 22236, 540, 28631, 267, 12548, 269, 901, 30481, 22485, 519, 11761, 12939, 540, 519, 24659, 269, 1306, 513, 12343, 540, 713, 30481, 267, 513, 1032, 4764, 10445, 538, 5147, 3361, 11761, 25318, 543, 18254, 540, 713, 782, 12320, 658, 10178, 693, 519, 5023, 540, 513, 29815, 776, 547, 30159, 15880, 563, 1607, 568, 1946, 519, 661, 12509, 543, 20767, 2939, 6513, 5358, 543, 519, 715, 11520, 2464, 28498, 1949, 941, 8045, 543, 1946, 3152, 8060, 616, 2838, 585, 9367, 982, 585, 6683, 7693, 4610, 563, 29910, 6019, 5170, 547, 1020, 693, 513, 11931, 2557, 269, 901, 3773, 1646, 5932, 513, 2101, 2942, 1764, 593, 519, 2298, 540, 519, 7297, 515, 1091, 563, 310, 11596, 515, 1091, 616, 2244, 2127, 602, 1187, 6773, 1216, 547, 513, 1455, 1970, 1448, 2356, 513, 6908, 267, 10720, 267, 5757, 610, 856, 547, 519, 5836, 269, 1879, 621, 22856, 267, 1216, 8928, 1524, 689, 2127, 540, 2362, 15038, 1739, 519, 2067, 3337, 540, 519, 2244, 269, 13966, 519, 1259, 267, 24467, 543, 4683, 20359, 666, 2445, 543, 16005, 17885, 267, 11159, 267, 8407, 267, 18168, 267, 13851, 543, 824, 14107, 883, 938, 2199, 5780, 18336, 12892, 26865, 568, 538, 1198, 1813, 547, 519, 5046, 6855, 269, 4107, 2941, 1069, 527, 6590, 5234, 616, 7658, 11529, 543, 2139, 676, 4757, 269, 1677, 4757, 519, 24659, 11347, 585, 707, 16278, 267, 5225, 3643, 938, 3346, 721, 811, 1344, 543, 2200, 593, 5046, 538, 519, 5842, 17630, 3148, 267, 5225, 3643, 24665, 730, 11761, 543, 11159, 566, 1813, 547, 3618, 332, 8221, 2238, 814, 2942, 5222, 711, 1152, 593, 519, 1604, 855, 849, 17215, 593, 782, 540, 721, 7264, 543, 3454, 2628, 619, 563, 20245, 28620, 281, 23566, 4248, 17579, 525, 6383, 1282, 4070, 723, 513, 1761, 585, 3978, 1216, 2298, 593, 281, 15443, 548, 2775, 20000, 267, 2672, 924, 661, 321, 839, 7921, 2136, 2276, 563, 11764, 2466, 661, 12509, 6513, 568, 10583, 547, 581, 519, 12600, 674, 2830, 516, 16282, 10672, 585, 5493, 2280, 1242, 11003, 6882, 26852, 585, 8828, 4993, 563, 293, 2830, 516, 16282, 568, 519, 3039, 3070, 547, 11159, 267, 11761, 543, 4853, 5533, 1852, 267, 1210, 12725, 1606, 712, 1027, 13381, 1418, 923, 585, 19993, 19288, 563, 8923, 3643, 585, 811, 1344, 269, 14606, 661, 12509, 543, 20767, 2939, 13870, 593, 27347, 1117, 14924, 7870, 281, 22948, 543, 6513, 3848, 2290, 21850, 29767, 476, 272, 269, 13809, 525, 540, 14606, 8249, 13809, 525, 540, 519, 3037, 2200, 689, 6382, 11327, 543, 1134, 8647, 7297, 515, 1091, 568, 540, 268, 1084, 513, 18596, 1966, 29270, 3289, 6331, 1235, 543, 24659, 9946, 563, 4322, 9271, 540, 3037, 723, 290, 1243, 676, 281, 476, 275, 269, 14606, 661, 12509, 1299, 20767, 2939, 566, 6513, 8490, 3785, 610, 3618, 19717, 2238, 602, 616, 593, 23505, 610, 811, 2450, 10758, 1369, 3952, 540, 513, 1560, 540, 1216, 2154, 28498, 689, 519, 563, 763, 18718, 1633, 6019, 4826, 8249, 30934, 781, 8433, 630, 310, 13612, 264, 568, 3743, 585, 28720, 519, 14606, 661, 12509, 543, 20767, 2939, 566, 6513, 2920, 630, 8450, 14606, 661, 12509, 2920, 267, 3487, 476, 11011, 540, 13698, 540, 553, 29567, 4700, 634, 3483, 540, 519, 9086, 568, 547, 7413, 11761, 543, 1852, 11159, 566, 547, 2149, 519, 1216, 2200, 540, 519, 3557, 563, 26473, 790, 906, 585, 661, 12509, 543, 20767, 2939, 6513, 269, 14606, 11761, 543, 11159, 566, 10460, 513, 3978, 3463, 547, 1216, 2298, 269, 661, 12509, 568, 519, 9849, 2476, 540, 519, 2666, 2627, 607, 513, 1267, 540, 519, 3350, 540, 2842, 610, 1216, 563, 306, 539, 2939, 566, 568, 519, 13250, 540, 3037, 543, 824, 2339, 16487, 689, 519, 269, 27347, 515, 1091, 538, 5842, 17630, 3371, 538, 5842, 17630, 6019, 649, 723, 22221, 9381, 1951, 1456, 7297, 515, 1091, 630, 2288, 519, 3169, 1297, 5673, 593, 875, 789, 723, 1044, 30431, 730, 585, 2359, 4128, 1916, 310, 11596, 515, 1091, 798, 711, 5469, 610, 646, 539, 2797, 6302, 267, 543, 1082, 540, 23600, 3444, 10315, 610, 1533, 3515, 267, 610, 1256, 519, 3486, 8473, 269, 661, 12509, 543, 20767, 2939, 566, 17461, 269, 661, 12509, 2934, 693, 519, 9835, 24258, 538, 7187, 14151, 269, 661, 12509, 936, 27230, 942, 814, 24609, 539, 10239, 267, 543, 14155, 730, 971, 2934, 607, 519, 9835, 24258, 563, 4322, 616, 1175, 513, 1906, 1806, 540, 519, 9434, 24221, 602, 11761, 814, 2451, 593, 938, 5251, 9950, 12509, 568, 519, 1184, 602, 31273, 2476, 3618, 563, 1607, 666, 2049, 6923, 676, 1216, 267, 2842, 610, 4672, 269, 4438, 519, 11761, 1184, 11353, 540, 3037, 616, 6410, 267, 1034, 1419, 676, 1216, 267, 547, 513, 1007, 4087, 269, 634, 3037, 5536, 1373, 6410, 616, 1572, 11159, 9950, 12509, 543, 20767, 2939, 566, 661, 12509, 538, 519, 2796, 540, 3037, 543, 24659, 5726, 568, 519, 1033, 16670, 543, 3350, 540, 3037, 5536, 676, 2067, 4229, 267, 5097, 1216, 543, 2842, 563, 5415, 17618, 267, 11761, 568, 519, 1184, 540, 9849, 2476, 7725, 267, 27230, 267, 543, 3037, 1570, 3842, 1216, 267, 2842, 267, 610, 4672, 630, 324, 3052, 1421, 22260, 1040, 0, 293, 1168, 1131, 12314, 5191, 540, 4633, 609, 14278, 1235, 563, 21953, 538, 1079, 2665, 5473, 14278, 1235, 835, 4956, 1175, 2063, 3018, 519, 772, 2529, 269, 10966, 7040, 814, 9783, 1271, 3664, 602, 948, 2149, 519, 3689, 14821, 543, 519, 1863, 2095, 540, 1344, 547, 6800, 563, 1103, 476, 3192, 277, 519, 10966, 7040, 9783, 513, 19506, 15194, 602, 13351, 1524, 513, 9098, 1876, 602, 3046, 1042, 14278, 1235, 689, 10229, 519, 3902, 540, 13310, 5061, 563, 1103, 602, 8978, 2013, 267, 519, 5480, 4371, 602, 1256, 5010, 4633, 602, 968, 323, 3996, 1100, 811, 982, 15974, 513, 5010, 11834, 892, 568, 6870, 676, 519, 3689, 14821, 269, 19402, 1287, 267, 10229, 10150, 2484, 1447, 13338, 4027, 982, 865, 10777, 968, 335, 11823, 4633, 3034, 1103, 8757, 713, 3375, 267, 519, 5480, 2601, 539, 602, 6800, 685, 1719, 538, 1344, 827, 5061, 543, 2472, 949, 581, 1256, 3152, 982, 1719, 538, 5571, 2797, 9840, 269, 2991, 782, 267, 3478, 1569, 547, 10097, 4915, 666, 581, 513, 1883, 3815, 538, 519, 2298, 540, 835, 779, 1272, 563, 1607, 7029, 547, 519, 1863, 2095, 540, 7082, 1344, 849, 729, 10423, 2063, 3018, 538, 513, 2013, 538, 799, 519, 10966, 7040, 13351, 1524, 513, 5313, 1876, 7303, 7966, 9313, 689, 10229, 519, 8244, 540, 7623, 5061, 563, 4942, 29108, 1235, 723, 1279, 5916, 610, 6404, 5061, 547, 1711, 6527, 3358, 547, 2550, 262, 1808, 2115, 269, 6884, 713, 5386, 2389, 12941, 568, 2944, 267, 585, 1383, 267, 547, 2232, 1367, 11959, 610, 824, 2123, 6381, 563, 763, 476, 1960, 278, 1876, 15868, 713, 7623, 532, 547, 3136, 267, 855, 5143, 14278, 1235, 789, 1223, 711, 14441, 519, 8244, 540, 971, 7135, 269, 634, 2229, 779, 7744, 281, 898, 814, 513, 2178, 1719, 538, 4180, 602, 11955, 616, 2922, 267, 543, 7623, 532, 1058, 711, 581, 1031, 607, 606, 1439, 24507, 1472, 519, 2229, 779, 14021, 13170, 1184, 585, 1007, 5061, 563, 29209, 8397, 7623, 532, 540, 6646, 13745, 609, 10229, 547, 1628, 3747, 1131, 581, 21915, 26920, 547, 8380, 513, 1007, 3075, 593, 519, 2344, 1510, 7850, 28863, 267, 519, 2229, 15387, 563, 2791, 666, 1406, 29170, 7758, 609, 519, 2229, 779, 24500, 269, 23496, 519, 2298, 540, 5061, 543, 7863, 519, 1857, 10304, 1058, 581, 1851, 2229, 779, 14422, 563, 19013, 267, 1434, 24500, 1810, 1406, 2141, 1118, 1434, 1876, 269, 7201, 519, 3689, 14821, 267, 2229, 666, 1406, 3970, 519, 4633, 8659, 538, 10229, 4849, 896, 8903, 6381, 267, 543, 1287, 1152, 1310, 621, 814, 25356, 824, 14319, 563, 8310, 3018, 267, 519, 10966, 7040, 5143, 519, 5313, 2229, 602, 621, 1185, 3144, 519, 2653, 1259, 856, 267, 543, 538, 3257, 865, 267, 1185, 26991, 519, 9139, 269, 769, 519, 1913, 540, 10456, 9995, 571, 4303, 744, 685, 3519, 24335, 267, 945, 5206, 519, 5480, 779, 6644, 267, 968, 2252, 519, 3689, 14821, 1797, 4376, 267, 621, 1797, 602, 15725, 4633, 1590, 581, 513, 2063, 711, 1101, 18992, 269, 8616, 1934, 621, 4667, 547, 723, 1044, 519, 1101, 4640, 519, 2229, 2219, 547, 2119, 3034, 763, 10966, 7040, 11329, 856, 602, 519, 2229, 1223, 723, 6913, 922, 3853, 540, 7863, 519, 1857, 676, 12145, 856, 6361, 15581, 6455, 610, 10238, 1746, 7623, 532, 1510, 513, 13310, 538, 1688, 563, 7197, 540, 721, 1810, 1406, 2628, 3007, 547, 3689, 14821, 2665, 8259, 789, 4125, 15784, 269, 2052, 519, 21647, 15292, 1524, 6301, 9335, 286, 2052, 27127, 2762, 581, 11540, 593, 519, 5769, 286, 9701, 519, 14210, 16710, 906, 581, 11540, 593, 1857, 5656, 888, 2005, 779, 5363, 547, 3314, 602, 972, 616, 1419, 1447, 23724, 1043, 3664, 602, 1118, 7864, 24657, 267, 855, 798, 1118, 513, 3017, 563, 763, 5207, 5480, 538, 519, 2244, 11542, 909, 585, 938, 1318, 547, 4309, 2143, 1344, 689, 938, 14278, 1235, 543, 547, 1118, 5483, 3664, 827, 938, 1072, 1416, 269, 6884, 519, 9602, 24984, 666, 1611, 519, 1034, 269, 0, 20238, 880, 568, 606, 4998, 2890, 13582, 267, 1419, 6074, 585, 922, 24974, 2681, 269, 898, 568, 593, 519, 25970, 2427, 540, 8137, 267, 855, 676, 1100, 1797, 1932, 25970, 563, 301, 19153, 281, 23554, 7530, 589, 267, 645, 267, 595, 267, 661, 1299, 918, 267, 31447, 3679, 267, 562, 13519, 514, 267, 11379, 267, 4401, 267, 16903, 267, 20562, 582, 1156, 545, 3679, 267, 7513, 267, 13101, 267, 13058, 267, 25558, 25333, 454, 17806, 675, 281, 9197, 4875, 267, 30362, 454, 20238, 880, 2890, 26572, 839, 616, 16041, 609, 8324, 267, 543, 1382, 5267, 602, 891, 2706, 5991, 8130, 1190, 2890, 26572, 839, 949, 1256, 581, 2500, 538, 7303, 2860, 982, 22282, 2890, 26572, 839, 563, 5445, 616, 606, 5140, 2707, 540, 31833, 269, 23205, 622, 568, 5156, 547, 3895, 9025, 1072, 676, 8840, 1524, 4630, 7514, 4614, 710, 267, 606, 11254, 3679, 602, 568, 2219, 547, 3895, 19473, 29912, 630, 325, 520, 1399, 12074, 538, 1973, 8043, 1040, 6168, 476, 272, 270, 273, 540, 1004, 609, 9025, 2068, 723, 11506, 4630, 7514, 4614, 710, 2157, 563, 1103, 1840, 547, 3246, 9748, 540, 31833, 267, 2234, 880, 2890, 26572, 839, 2270, 7899, 540, 6171, 645, 277, 267, 1776, 8770, 602, 814, 1044, 3254, 547, 2736, 1524, 4630, 7514, 4614, 710, 538, 519, 1560, 563, 12552, 547, 741, 5393, 1164, 6722, 28009, 25544, 1543, 267, 22282, 2890, 26572, 839, 616, 512, 719, 539, 585, 741, 4550, 2275, 22083, 2360, 269, 1809, 607, 621, 7140, 856, 267, 2234, 880, 2890, 26572, 839, 949, 723, 1256, 811, 4550, 2275, 22083, 1761, 982, 22282, 2890, 26572, 839, 563, 20238, 880, 2890, 26572, 839, 616, 796, 1173, 340, 2406, 835, 540, 519, 1655, 3536, 585, 1004, 945, 616, 3843, 547, 10690, 2597, 269, 1358, 616, 1970, 538, 8477, 543, 616, 14095, 609, 23554, 7530, 563, 5445, 849 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 513, 6094, 4494, 540, 1970, 12680, 3037, 563, 305, 664, 7733, 2874, 540, 513, 1297, 454, 1993, 6106, 269, 1530, 523, 689, 1657, 267, 519, 4764, 4104, 5654, 899, 454, 320, 536, 17056, 3039, 24095, 267, 855, 621, 2965, 814, 513, 1297, 540, 2157, 563, 763, 28928, 4494, 814, 519, 32399, 4054, 267, 799, 1796, 454, 1575, 14350, 1657, 519, 4054, 22125, 1927, 2630, 873, 563, 4322, 4054, 1205, 513, 2603, 540, 1769, 267, 855, 789, 849, 723, 547, 4308, 609, 454, 1492, 2842, 269, 1358, 1118, 1434, 829, 2583, 585, 32608, 543, 824, 2392, 2218, 454, 4754, 4878, 5161, 540, 513, 5394, 2208, 540, 7381, 4054, 799, 454, 322, 2194, 675, 1454, 540, 519, 7943, 269, 4256, 8371, 5905, 267, 741, 3762, 454, 572, 655, 547, 6445, 1169, 2230, 1141, 1769, 949, 2887, 269, 4256, 8371, 454, 321, 792, 10477, 5613, 269, 9210, 760, 1506, 5052, 630, 17852, 602, 834, 326, 992, 538, 2011, 5602, 704, 577, 593, 519, 8371, 607, 1134, 267, 543, 30676, 18214, 909, 689, 519, 4104, 454, 28776, 547, 3409, 513, 2671, 540, 519, 3141, 269, 3509, 540, 519, 2831, 2661, 538, 454, 1492, 24588, 267, 4189, 4829, 267, 5810, 267, 543, 3762, 269, 29133, 3548, 619, 979, 454, 3602, 519, 2030, 3548, 619, 616, 267, 543, 10352, 593, 519, 22171, 543, 10477, 454, 18346, 269, 24538, 338, 616, 10876, 269, 901, 851, 540, 519, 4764, 4104, 568, 454, 325, 2683, 609, 1272, 269, 898, 7028, 1272, 3029, 543, 2950, 454, 553, 519, 2627, 540, 519, 3618, 2356, 1281, 563, 763, 896, 32143, 5161, 540, 1507, 4054, 267, 19211, 267, 543, 454, 321, 16640, 269, 1452, 2371, 616, 9862, 547, 1970, 1769, 2157, 267, 543, 741, 454, 26171, 267, 13035, 3762, 7001, 607, 1454, 1769, 1648, 607, 789, 666, 563, 763, 19211, 1489, 30676, 267, 21263, 525, 267, 543, 17866, 27738, 267, 971, 454, 320, 20883, 267, 799, 2972, 519, 18519, 5790, 563, 763, 4104, 6989, 11392, 1152, 827, 476, 273, 260, 540, 519, 1769, 454, 7474, 8813, 5196, 519, 4054, 540, 519, 24588, 269, 1703, 616, 1906, 2371, 454, 6658, 1934, 538, 519, 1000, 559, 697, 269, 634, 6989, 568, 1396, 339, 1229, 609, 4666, 3762, 2676, 13512, 12127, 267, 2831, 543, 15468, 4829, 267, 782, 540, 799, 616, 1373, 2007, 6479, 454, 2421, 30190, 7786, 543, 824, 1033, 761, 643, 2803, 269, 589, 1906, 2831, 849, 454, 331, 633, 1934, 267, 1519, 3552, 14918, 269, 1358, 3548, 8726, 814, 15468, 454, 5228, 519, 3638, 2950, 1657, 873, 269, 1703, 568, 1100, 896, 20815, 454, 1721, 873, 547, 4308, 609, 267, 865, 2951, 538, 713, 3897, 1158, 568, 2653, 563, 5228, 513, 11759, 331, 7131, 268, 15375, 2433, 585, 13156, 1152, 267, 711, 585, 23842, 269, 2859, 454, 1960, 280, 269, 10906, 14732, 966, 807, 340, 543, 1200, 6132, 839, 832, 269, 2353, 454, 23412, 11603, 269, 901, 1570, 949, 581, 1031, 676, 2043, 585, 454, 13318, 2315, 531, 5301, 855, 711, 4421, 269, 7490, 1217, 519, 2278, 454, 604, 596, 946, 621, 693, 4757, 11333, 2593, 0, 7093, 13807, 8911, 568, 1305, 909, 610, 7041, 2838, 1354, 513, 3070, 568, 8045, 269, 13268, 532, 707, 12899, 568, 513, 840, 8410, 1288, 547, 4189, 12899, 269, 20780, 532, 707, 12899, 547, 1153, 568, 513, 840, 8410, 1288, 547, 4189, 707, 12899, 693, 1153, 269, 8298, 3101, 538, 568, 513, 840, 8410, 1288, 547, 10992, 707, 2228, 4871, 3666, 563, 7093, 268, 1718, 1431, 616, 2838, 1317, 1082, 3157, 2154, 2175, 547, 581, 13401, 269, 16393, 596, 3548, 707, 12899, 952, 596, 4769, 1405, 3640, 707, 12899, 286, 9701, 596, 581, 2111, 547, 2638, 1022, 4871, 3666, 1510, 19883, 538, 888, 2791, 1058, 581, 6998, 3054, 834, 6343, 2115, 547, 4755, 538, 1931, 585, 23099, 1862, 547, 4755, 834, 269, 901, 568, 513, 2259, 540, 3206, 596, 1058, 9772, 563, 306, 3481, 30389, 513, 5870, 568, 513, 5929, 1383, 540, 519, 2956, 543, 991, 540, 2789, 840, 268, 1718, 1431, 269, 769, 1931, 547, 723, 513, 5870, 609, 2576, 267, 649, 1522, 723, 519, 1739, 840, 268, 1718, 1431, 912, 268, 606, 2139, 1747, 547, 2743, 454, 268, 513, 942, 547, 2743, 454, 268, 8244, 540, 519, 1004, 547, 2743, 454, 268, 513, 1888, 610, 16786, 454, 2710, 596, 1174, 713, 888, 4322, 4441, 616, 1031, 689, 519, 25153, 8950, 3163, 13595, 6651, 454, 268, 10576, 17809, 728, 606, 2626, 689, 513, 1297, 540, 7399, 269, 25506, 543, 1533, 13713, 513, 23243, 1249, 610, 4183, 269, 840, 13807, 8911, 538, 513, 6700, 1966, 543, 3070, 454, 268, 11512, 24876, 513, 2143, 2272, 1519, 4128, 610, 3123, 269, 519, 991, 585, 840, 268, 1718, 1431, 950, 22589, 606, 5690, 454, 268, 25153, 24547, 5448, 19510, 8950, 2257, 3391, 630, 14140, 18362, 476, 1001, 275, 1040, 9315, 858, 267, 12986, 267, 2136, 8003, 281, 4139, 645, 3147, 8403, 675, 622, 9257, 269, 5130, 476, 1001, 273, 269, 0, 1475, 20245, 1686, 543, 519, 1977, 3162, 454, 20245, 1686, 543, 519, 1977, 3162, 563, 1475, 290, 1478, 282, 21009, 7170, 282, 7170, 282, 14645, 282, 667, 539, 1709, 282, 28132, 19006, 282, 700, 8780, 5508, 14889, 299, 19851, 6938, 16739, 282, 700, 8780, 5508, 590, 22432, 289, 12678, 282, 8028, 298, 301, 8582, 29612, 14875, 19006, 282, 28217, 293, 19781, 281, 6754, 631, 269, 4964, 569, 282, 21850, 29767, 281, 6754, 590, 269, 590, 13616, 634, 3778, 540, 11094, 543, 519, 11094, 540, 3778, 2059, 519, 11908, 11076, 282, 32516, 476, 272, 281, 6742, 589, 269, 26791, 11866, 267, 3798, 2471, 267, 543, 31248, 281, 634, 7025, 3778, 540, 519, 11908, 11076, 282, 32516, 476, 273, 281, 6424, 15049, 560, 7338, 12213, 3778, 540, 519, 11908, 11076, 281, 589, 7348, 689, 853, 269, 595, 1430, 1149, 6816, 282, 32516, 476, 274, 281, 590, 269, 7665, 3798, 15625, 10439, 1944, 519, 8828, 13571, 1512, 281, 14295, 2762, 543, 16690, 1436, 538, 20640, 7570, 31588, 1722, 11908, 454, 1475, 6224, 22790, 476, 275, 281, 3798, 6767, 700, 269, 29425, 5174, 331, 871, 8899, 12248, 787, 11511, 3421, 281, 26066, 11908, 543, 3162, 10491, 2037, 4921, 543, 519, 10435, 540, 519, 717, 31608, 2983, 1815, 31649, 6224, 22790, 476, 276, 281, 23621, 5984, 30683, 670, 13550, 539, 27347, 281, 12267, 540, 26913, 267, 26066, 26415, 338, 267, 543, 7025, 3117, 4109, 1145, 282, 32516, 476, 277, 281, 667, 4319, 589, 269, 4210, 753, 517, 589, 31898, 7595, 540, 22859, 514, 281, 22569, 1456, 543, 1234, 19960, 1456, 519, 11908, 11076, 282, 32516, 476, 278, 281, 15751, 717, 269, 10158, 7043, 29566, 25882, 267, 689, 11206, 547, 27438, 281, 13870, 267, 29283, 267, 543, 519, 12338, 1478, 593, 11908, 781, 26066, 30577, 267, 476, 5908, 276, 268, 5002, 271, 454, 1475, 6224, 22790, 476, 279, 281, 5261, 15196, 323, 4826, 1772, 585, 674, 18017, 3683, 281, 7433, 14708, 543, 519, 26647, 24327, 936, 16140, 4248, 538, 26066, 11908, 267, 476, 4350, 271, 338, 268, 1220, 273, 338, 6224, 22790, 476, 280, 281, 18332, 808, 269, 631, 836, 8643, 10314, 634, 7108, 9208, 281, 6129, 321, 3881, 7025, 1143, 543, 26066, 10466, 282, 32516, 476, 1015, 281, 3967, 23579, 14105, 834, 763, 20727, 4382, 26657, 5101, 268, 1189, 9899, 23281, 540, 9255, 538, 519, 9085, 540, 519, 11908, 11076, 282, 28132, 6020, 289, 7473, 27633, 282, 28960, 13052, 282, 589, 282, 645, 282, 595, 282, 667, 282, 661, 282, 674, 282, 717, 282, 670, 282, 594, 282, 808, 282, 918, 282, 700, 282, 631, 282, 715, 282, 744, 282, 623, 282, 1627, 282, 681, 282, 590, 282, 570, 282, 772, 282, 966, 282, 654, 282, 962, 454, 21270, 9560, 2762, 4063, 1475, 1103, 11079, 12190, 7240, 8100, 543, 4994, 269, 347, 0, 3528, 6424, 631, 5417, 523, 454, 2467, 814, 1044, 513, 2603, 540, 7521, 827, 519, 2360, 540, 6932, 4066, 899, 476, 274, 291, 8228, 593, 4853, 5663, 269, 1703, 616, 2872, 4966, 602, 1745, 899, 621, 786, 581, 26688, 267, 1247, 1866, 3494, 602, 519, 2029, 3884, 1406, 14323, 269, 12752, 20327, 1448, 2509, 1713, 2208, 538, 519, 2872, 936, 519, 1985, 2947, 1296, 267, 543, 18867, 267, 519, 1871, 540, 519, 2872, 568, 15810, 547, 1995, 513, 4028, 4473, 538, 519, 2104, 563, 4415, 519, 6024, 2208, 538, 519, 476, 274, 291, 8228, 2344, 543, 519, 6749, 538, 519, 1942, 540, 23252, 267, 1007, 15712, 538, 519, 2757, 6990, 616, 4397, 547, 4473, 609, 606, 2333, 538, 5499, 2472, 269, 5019, 8040, 585, 1007, 2472, 786, 849, 1831, 1447, 7294, 543, 513, 2603, 1447, 7199, 547, 1711, 563, 4913, 267, 1587, 1646, 543, 519, 2344, 1604, 616, 1175, 1079, 1761, 2360, 540, 713, 6932, 2029, 269, 476, 274, 291, 8228, 568, 1360, 2693, 547, 1860, 519, 1870, 2203, 540, 9755, 267, 2523, 950, 621, 2501, 547, 1587, 14499, 267, 519, 1942, 540, 2326, 543, 10198, 1899, 2994, 269, 6787, 596, 2461, 513, 1507, 1870, 610, 513, 1804, 18294, 267, 2921, 2038, 5413, 540, 713, 2029, 666, 581, 1360, 6225, 269, 1924, 1934, 616, 930, 540, 519, 2081, 476, 274, 291, 8228, 666, 581, 1031, 538, 707, 5663, 1184, 563, 274, 291, 8228, 814, 5912, 539, 689, 1486, 19685, 883, 1101, 24507, 2504, 269, 901, 2636, 585, 1587, 30384, 547, 581, 5963, 7318, 538, 519, 2344, 543, 585, 1587, 5918, 4124, 547, 581, 1500, 6385, 563, 2690, 1383, 267, 513, 1286, 2754, 1522, 723, 547, 1711, 513, 6216, 1007, 9044, 547, 1449, 513, 18634, 585, 513, 1007, 2599, 269, 901, 1184, 1223, 1491, 3275, 543, 1942, 7366, 540, 5215, 540, 9489, 269, 2060, 476, 274, 291, 8228, 267, 891, 28633, 666, 581, 9102, 585, 513, 1507, 6824, 540, 519, 1942, 543, 538, 513, 2603, 1447, 942, 563, 4415, 519, 10148, 540, 519, 2025, 4853, 1184, 1631, 24850, 267, 8030, 616, 2111, 547, 2263, 1082, 7648, 540, 741, 30384, 543, 22759, 3585, 1449, 873, 1247, 1818, 9283, 593, 741, 2773, 269, 634, 8441, 538, 476, 274, 291, 8228, 786, 1267, 538, 519, 20747, 2590, 540, 519, 3515, 1063, 2472, 543, 30384, 563, 9359, 5725, 543, 1507, 4213, 1796, 547, 2744, 519, 1034, 689, 713, 6932, 2029, 607, 789, 616, 2111, 547, 6338, 5499, 2472, 1510, 1651, 584, 2590, 519, 5230, 3790, 2404, 609, 13936, 11891, 269, 13038, 8747, 540, 7082, 5370, 543, 1256, 4853, 2694, 666, 581, 7318, 1318, 2476, 538, 519, 19458, 269, 901, 2186, 540, 589, 20324, 4152, 267, 799, 568, 1360, 1455, 538, 519, 1158, 540, 3301, 267, 666, 1631, 581, 2944, 609, 8800, 543, 2168, 2472, 563, 2690, 5176, 476, 736, 1296, 267, 476, 274, 291, 8228, 814, 1044, 1031, 547, 1711, 3169, 18187, 553, 540, 1007, 1587, 6272, 269, 901, 1184, 729, 5219, 547, 607, 4028, 1486, 19685, 269, 1717, 267, 7429, 922, 2012, 267, 519, 1184, 18387, 1406, 1044, 4028, 269, 476, 274, 291, 8228, 3028, 7426, 666, 1491, 1134, 936, 513, 3018, 547, 5838, 513, 2582, 18634, 563, 4913, 267, 2487, 23484, 538, 12957, 267, 2059, 609, 519, 1967, 540, 2518, 3892, 3549, 267, 723, 4625, 4957, 519, 2872, 540, 1486, 19685, 269, 15733, 602, 1131, 2154, 936, 513, 3923, 547, 979, 998, 1896, 1374, 9979, 538, 519, 1486, 19685, 5123, 666, 1631, 798, 519, 1482, 538, 607, 2370, 607, 513, 3018, 269, 9182, 267, 2472, 616, 8757, 519, 2344, 513, 2603, 18334, 267, 609, 3549, 9494, 513, 1713, 2179, 540, 942, 543, 2724, 563, 1103, 2527, 29356, 267, 1804, 9424, 540, 606, 6221, 616, 3812, 269, 1717, 267, 1142, 6221, 666, 581, 16419, 563, 2304, 4277, 3498, 540, 713, 1523, 568, 538, 519, 2564, 2361, 269, 4653, 267, 952, 513, 3461, 2115, 547, 723, 513, 12597, 10682, 267, 741, 19704, 666, 581, 1085, 10165, 267, 543, 513, 3501, 18187, 320, 568, 9102, 543, 4712, 585, 519, 3461, 6619, 540, 519, 10551, 5650, 269, 769, 519, 2250, 267, 2705, 267, 952, 513, 3461, 2877, 547, 723, 513, 12597, 10682, 5650, 267, 513, 12016, 1131, 723, 547, 3142, 513, 4216, 883, 519, 5665, 4055, 267, 543, 519, 4387, 1131, 3313, 799, 540, 519, 2009, 12597, 6272, 729, 1034, 2147, 547, 707, 12597, 563, 1103, 519, 5959, 2872, 267, 769, 6665, 7955, 814, 849, 1044, 1360, 3811, 609, 1210, 476, 274, 291, 8228, 547, 21160, 519, 4522, 12972, 3457, 602, 789, 3132, 269, 1306, 513, 1870, 8227, 267, 29356, 1223, 581, 513, 1390, 4183, 547, 1039, 547, 707, 2472, 267, 543, 602, 568, 7357, 2009, 609, 519, 476, 274, 291, 8228, 2029, 2139, 2221 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 325, 5407, 585, 10122, 454, 268, 7454, 8955, 2039, 325, 5407, 1279, 2039, 15246 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1432, 1281, 25453, 798, 547, 519, 7083, 540, 519, 4469, 625, 888, 3891, 588, 3518, 956, 2066, 519, 30889, 779, 2212, 267, 519, 7083, 540, 519, 4469, 625, 267, 1631, 8806, 513, 575, 548, 5446, 3043, 15693, 32737, 3043, 607, 519, 598, 577, 7387, 267, 646, 4967, 269, 4911, 787, 543, 29832, 755, 539, 267, 25453, 5679, 4169, 519, 15693, 547, 519, 2666, 543, 3217, 519, 7196, 621, 729, 791, 4705, 593, 547, 946, 607, 513, 14049, 1996, 10793, 563, 1432, 4523, 538, 519, 2063, 3184, 540, 7083, 540, 519, 4469, 625, 888, 1103, 519, 3803, 3817, 540, 7083, 540, 519, 4469, 625, 2073, 25453, 8255, 998, 519, 26570, 7904, 4370, 1312, 10793, 543, 1010, 3640, 540, 5260, 720, 8695, 543, 519, 3595, 10793, 1305, 593, 519, 7823, 269, 25453, 19674, 5196, 519, 11824, 543, 568, 4362, 676, 513, 3703, 25220, 11464, 945, 814, 2097, 11849, 648, 1310, 7487, 519, 8781, 6532, 689, 1010, 6928, 563, 8005, 15068, 7083, 540, 519, 4469, 625, 888, 763, 1152, 15000, 616, 8695, 538, 741, 1647, 6689, 610, 840, 611, 3421, 12412, 269, 5565, 8695, 9789, 4023, 3620, 8529, 25453, 543, 606, 14968, 267, 14850, 1051, 659, 1194, 7911, 12183, 24887, 968, 303, 580, 4445, 892, 1765, 22772, 513, 598, 577, 267, 799, 25453, 3096, 607, 513, 18057, 547, 7036, 324, 782, 519, 15000, 547, 835, 1858, 563, 8489, 1281, 25453, 2661, 538, 7083, 540, 519, 4469, 625, 888, 347, 19613, 538, 3883, 1475, 763, 6816, 2008, 9989, 25453, 1831, 513, 5260, 720, 888, 3891, 849, 7919, 547, 6336, 1010, 26069, 543, 1582, 1852, 269, 25453, 3587, 5260, 720, 1310, 3025, 814, 8678, 808, 2931, 1007, 14316, 269, 1261, 814, 2141, 1044, 5260, 720, 1317, 3025, 814, 5260, 698, 2044, 538, 873, 269, 1261, 5963, 2982, 1010, 5260, 720, 2427, 950, 646, 23689, 17363, 563, 1432, 729, 3184, 476, 276, 827, 538, 7083, 540, 519, 4469, 625, 888, 1103, 713, 3184, 267, 519, 4250, 540, 519, 28458, 6368, 1011, 3941, 267, 8297, 1456, 25453, 779, 3801, 547, 11177, 1931, 547, 519, 6532, 543, 10511, 23550, 519, 3803, 8237, 1063, 25453, 543, 10793, 269, 2311, 713, 1448, 267, 621, 3788, 7334, 2436, 610, 711, 519, 28458, 2965, 6818, 563, 1432, 5949, 538, 7083, 540, 519, 4469, 625, 3184, 476, 276, 888, 8005, 5747, 7083, 540, 519, 4469, 625, 888, 1103, 5261, 7108, 532, 779, 7083, 540, 519, 4469, 625, 267, 519, 1915, 540, 17363, 568, 849, 2322, 547, 2669, 1247, 3843, 547, 3262, 1702, 547, 519, 824, 8695, 593, 519, 6532, 269, 3571, 2669, 568, 6209, 1317, 621, 7125, 3007, 547, 1082, 540, 519, 12572, 6835, 538, 519, 1433, 269, 0, 1692, 938, 960, 5222, 5726, 2066, 4516, 563, 8489, 649, 2461, 2324, 593, 519, 2666, 689, 5032, 547, 5032, 563, 2171, 991, 707, 948, 547, 2149, 938, 1216, 267, 7320, 267, 543, 19126, 269, 3371, 779, 875, 596, 666, 1118, 606, 1764, 563, 289, 8674, 543, 6177, 5349, 7129, 786, 4324, 689, 7226, 9283, 538, 4432, 6265, 6019, 454, 14976, 6265, 6019, 267, 13115, 269, 630, 20464, 476, 1001, 280, 264, 2443, 13724, 906, 693, 513, 2442, 7320, 13156, 3135, 267, 5087, 540, 8235, 661, 4471, 267, 616, 4397, 547, 4482, 811, 27436, 5017, 267, 2523, 13272, 18346, 267, 1985, 5614, 563, 763, 589, 2643, 1067, 13812, 5004, 9351, 630, 310, 7246, 264, 729, 9927, 689, 513, 2622, 2782, 4083, 2011, 7615, 547, 7320, 7226, 267, 1310, 1373, 12349, 676, 519, 19435, 540, 14411, 538, 519, 476, 3422, 271, 338, 269, 898, 568, 1631, 11280, 607, 606, 12830, 16819, 9351, 267, 19788, 2249, 899, 512, 1495, 571, 2220, 753, 676, 519, 5215, 563, 1103, 476, 1001, 279, 267, 519, 589, 2643, 1067, 654, 7246, 9249, 941, 8476, 1586, 563, 28317, 2603, 4682, 593, 1934, 538, 519, 19126, 713, 1032, 2223, 3081, 11518, 918, 516, 974, 267, 5726, 11285, 609, 667, 15085, 1133, 15905, 4516, 630, 23604, 1040, 968, 23604, 6192, 513, 25580, 1788, 585, 835, 26868, 543, 972, 616, 3670, 14143, 540, 1007, 19126, 547, 4482, 1256, 811, 1216, 325, 25717, 543, 13272, 18346, 547, 713, 7320, 522, 12118, 3034, 763, 25580, 3576, 1747, 538, 519, 26868, 1591, 1634, 607, 570, 1495, 571, 623, 1180, 267, 547, 29915, 622, 2030, 2208, 543, 7816, 1216, 1852, 3889, 543, 10085, 7719, 602, 4383, 519, 1216, 2157, 267, 2095, 543, 12802, 269, 898, 729, 6192, 676, 17303, 9427, 519, 1216, 630, 4385, 607, 513, 2721, 6658, 264, 543, 8795, 519, 3178, 540, 519, 16935, 547, 1732, 1489, 1114, 12748, 2371, 30147, 538, 2490, 267, 1732, 1489, 1114, 7320, 2249, 563, 14071, 616, 9599, 827, 519, 7226, 9283, 543, 23937, 1317, 649, 18783, 2799, 9265, 543, 7320, 13156, 3255, 585, 519, 2146, 2223, 3081, 27050, 16629, 1512, 267, 9614, 585, 519, 4432, 6265, 19731, 13734, 7027, 630, 2464, 290, 1916, 763, 3670, 14143, 630, 273, 269, 275, 25614, 264, 540, 1007, 19126, 267, 1572, 6292, 22253, 267, 786, 1683, 5614, 9960, 7226, 585, 1216, 325, 25717, 543, 13272, 18346, 269, 1452, 22253, 941, 2966, 676, 667, 10813, 543, 4070, 729, 13327, 523, 676, 11536, 290, 563, 1103, 1840, 547, 19788, 7320, 267, 519, 19126, 616, 2966, 547, 7001, 543, 6882, 2627, 1216, 1354, 621, 7575, 19654, 547, 8235, 661, 4471, 269, 901, 11808, 1788, 568, 851, 540, 513, 3677, 4674, 547, 2087, 1216, 2298, 538, 519, 8235, 661, 4471, 24659, 563, 5723, 27345, 589, 312, 299, 300, 2207, 654, 7246, 454, 763, 476, 24783, 14092, 516, 630, 15389, 13463, 551, 732, 264, 1857, 3959, 2882, 827, 476, 3199, 14143, 630, 3953, 25614, 264, 540, 7320, 7226, 267, 1519, 476, 2004, 14143, 630, 736, 25614, 264, 540, 19126, 267, 513, 476, 1691, 14092, 516, 630, 277, 13463, 551, 732, 264, 7381, 24124, 31403, 267, 7693, 4610, 267, 803, 20760, 543, 1585, 5065, 3529, 543, 21906, 2030, 902, 269, 4706, 11432, 1950, 568, 11280, 607, 513, 21621, 569, 1713, 26868, 563, 763, 3135, 2934, 1857, 18162, 998, 6404, 7226, 609, 2185, 21825, 5116, 13156, 6763, 267, 835, 540, 799, 568, 30523, 3015, 563, 31306, 4566, 1331, 4824, 3542, 13541, 7226, 543, 513, 1007, 15259, 2181, 344, 21224, 3760, 269, 769, 476, 1708, 271, 267, 519, 4130, 26868, 1591, 1634, 607, 4173, 517, 623, 1180, 568, 1793, 730, 585, 513, 968, 9526, 6658, 892, 547, 7520, 18203, 543, 7226, 6454, 563, 763, 3135, 568, 13950, 676, 519, 12080, 540, 7849, 8249, 543, 32645, 630, 300, 24520, 293, 264, 543, 3232, 4238, 616, 7307, 676, 11536, 290, 998, 513, 11450, 6876, 609, 519, 631, 24520, 293, 269, 11536, 290, 13538, 616, 3743, 585, 519, 7320, 7226, 267, 18162, 267, 3889, 543, 3292, 693, 519, 3135, 267, 1519, 3574, 21868, 543, 4544, 12704, 5464, 267, 21868, 6512, 532, 543, 512, 1495, 571, 2220, 534, 7664, 563, 2690, 519, 2250, 476, 736, 1296, 267, 667, 10813, 814, 7307, 519, 19126, 267, 1634, 607, 570, 1495, 571, 623, 1180, 543, 4173, 517, 623, 1180, 563, 5723, 27345, 667, 10813, 16775, 6167, 299, 8379, 3951, 3633, 11404, 2793, 6395, 454, 291, 15085, 1133, 15905, 4516, 630, 23604, 264, 568, 519, 3084, 6205, 538, 26868, 5726, 269, 589, 10805, 17493, 267, 667, 10813, 4891, 609, 2229, 267, 2872, 267, 1875, 17416, 3906, 543, 2244, 14935, 547, 18359, 19126, 602, 616, 2565, 547, 1216, 325, 25717, 267, 7320, 543, 1004, 563, 22998, 609, 519, 631, 24520, 293, 267, 667, 10813, 779, 2319, 538, 14411, 568, 12419, 1804, 8397, 26868, 5726, 607, 513, 2067, 5989, 3070, 547, 11761, 543, 4430, 2627, 1216, 2196, 11325, 269, 4595, 476, 1001, 278, 267, 667, 10813, 543, 922, 4891, 723, 9447, 811, 982, 476, 1911, 3785, 896, 519, 8235, 661, 4471, 27347, 1117, 22911, 1633, 19541, 547, 7001, 16903, 543, 824, 5567, 538, 19126, 602, 6882, 2627, 1216, 1354, 621, 12599, 19654, 563, 5723, 27345, 20700, 294, 2562, 5254, 11246, 2752, 9169, 295, 7709, 2910, 7419, 5746, 299, 454, 14976, 6265, 19731, 13734, 7027, 779, 6662, 568, 547, 3406, 856, 267, 20006, 543, 936, 5408, 3785, 267, 971, 607, 19126, 267, 7381, 24124, 31403, 267, 543, 5065, 3529, 543, 21906, 9544, 267, 676, 1818, 2139, 968, 332, 10248, 7482, 892, 547, 4163, 856, 7341, 6462, 676, 519, 7027, 269, 634, 15321, 8274, 540, 6034, 832, 568, 1500, 909, 540, 476, 1691, 7264, 540, 4432, 6265, 6019, 267, 693, 2547, 3368, 540, 7247, 1590, 581, 6917, 2244, 14935, 269, 16840, 2099, 6917, 2244, 14935, 543, 2146, 543, 1875, 3766, 17922, 2516, 269, 20180, 832, 547, 519, 7027, 616, 6537, 689, 631, 24520, 293, 543, 519, 2199, 11094, 8191, 885, 563, 291, 15085, 1133, 15905, 4516, 454, 291, 15085, 1133, 15905, 4516, 454, 23175, 540, 18058, 1299, 4934, 18943, 8081, 454, 17490, 281, 476, 3583, 276, 268, 278, 2641, 268, 29900, 275, 1535, 13301, 0, 763, 2910, 7419, 2316, 293, 1599, 568, 1031, 14916, 547, 1293, 2418, 1759, 593, 7355, 269, 4635, 3552, 11568, 538, 519, 7355, 2306, 519, 4542, 811, 6422, 269, 10251, 267, 3006, 621, 949, 3100, 602, 519, 9185, 2910, 7419, 2316, 293, 4542, 609, 3552, 15258, 568, 711, 2324, 607, 4397, 269, 769, 713, 2376, 267, 649, 786, 5031, 930, 540, 519, 2009, 4128, 585, 713, 543, 519, 3435, 547, 4368, 1346, 2152, 563, 12606, 6657, 4518, 1504, 454, 2791, 666, 4647, 519, 2259, 23519, 689, 519, 4647, 7735, 2630, 563, 1692, 547, 2422, 2910, 7419, 2316, 293, 9577, 609, 8187, 15258, 538, 9185, 454, 1103, 713, 3296, 267, 649, 786, 5031, 875, 547, 946, 3552, 11568, 538, 519, 7355, 4661, 540, 519, 2910, 7419, 2316, 293, 1599, 563, 268, 17616, 267, 596, 666, 946, 14531, 529, 802, 28949, 264, 20583, 609, 5595, 10530, 547, 1293, 5931, 2418, 1152, 454, 268, 19627, 267, 596, 666, 946, 3152, 982, 1107, 1447, 982, 609, 14531, 529, 802, 547, 1293, 2338, 1152, 563, 268, 12059, 569, 267, 596, 666, 946, 930, 3197, 1354, 14531, 529, 802, 547, 1293, 2418, 602, 1376, 609, 1346, 3197, 563, 268, 12059, 569, 267, 596, 666, 946, 930, 3197, 1310, 14531, 529, 802, 547, 1293, 2418, 602, 1439, 609, 1346, 3197, 563, 268, 25004, 569, 267, 596, 666, 946, 14531, 529, 802, 1354, 543, 1310, 1022, 1257, 547, 1293, 2418, 5627, 519, 1257, 563, 268, 14520, 628, 569, 267, 596, 666, 946, 2243, 7436, 263, 24047, 547, 1293, 2418, 609, 1022, 3197, 538, 519, 9138, 7158, 563, 268, 1530, 22770, 569, 267, 596, 666, 946, 513, 512, 32499, 263, 349, 264, 547, 1293, 2418, 609, 824, 3552, 11568, 269, 1280, 1383, 267, 1210, 968, 265, 349, 286, 265, 892, 786, 2285, 519, 1293, 540, 2418, 5627, 2243, 7436, 263, 286, 1916, 275, 30258, 543, 25792, 10298, 1403, 2910, 7419, 2316, 293, 9577, 609, 8187, 15258, 1772, 3502, 11554, 538, 9185, 454, 2080, 649, 786, 5031, 476, 274, 2009, 4128, 543, 3435, 585, 519, 2910, 7419, 2316, 293, 4542, 609, 3552, 15258, 711, 2324, 538, 9185, 269, 1924, 1577, 779, 1376, 2336, 272, 269, 2910, 7419, 2316, 293, 9577, 609, 8187, 15258, 1772, 3502, 11554, 538, 8865, 540, 8426, 13129, 454, 13706, 519, 1739, 2910, 7419, 2316, 293, 4542, 13059, 476, 271, 3079, 540, 476, 276, 563, 268, 634, 4542, 3568, 14531, 529, 802, 30916, 264, 607, 3552, 11568, 547, 1293, 519, 12805, 9115, 26518, 676, 1591, 667, 276, 269, 3371, 267, 519, 2910, 7419, 2316, 293, 1599, 1281, 711, 2015, 667, 276, 1031, 538, 519, 7355, 4661, 607, 513, 1591, 4704, 855, 2864, 607, 1257, 269, 5221, 519, 1591, 4704, 568, 20583, 609, 5595, 10530, 269, 2334, 779, 1946, 519, 2910, 7419, 2316, 293, 1599, 568, 3168, 585, 5931, 5627, 667, 276, 3079, 540, 519, 9115, 540, 1591, 667, 276, 269, 1306, 513, 1267, 267, 621, 7024, 476, 271, 563, 268, 1411, 666, 12189, 519, 4542, 547, 4368, 519, 3390, 1210, 519, 993, 11825, 663, 630, 261, 264, 3090, 607, 5205, 865, 602, 519, 1591, 4704, 568, 3544, 5595, 10530, 269, 3973, 519, 2910, 7419, 2316, 293, 4542, 786, 2132, 519, 4977, 1267, 563, 5649, 2859, 281, 2910, 7419, 2316, 293, 9185, 7151, 630, 2420, 6201, 994, 273, 269, 2910, 7419, 2316, 293, 9577, 609, 8187, 15258, 1772, 3502, 11554, 585, 31157, 454, 3086, 2015, 519, 1739, 2910, 7419, 2316, 293, 4542, 13059, 476, 271, 3079, 540, 476, 275, 563, 268, 634, 4542, 5654, 585, 519, 3197, 590, 289, 693, 519, 4098, 540, 519, 5931, 269, 3371, 267, 519, 1966, 568, 602, 519, 9583, 12805, 5931, 2270, 3056, 5624, 563, 268, 1411, 991, 547, 4894, 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 ]
[ 675, 454, 7197, 21407, 569, 707, 1699, 1072, 1416, 19995, 786, 4166, 1831, 32448, 609, 519, 2126, 585, 707, 1808, 1102, 3305, 640, 543, 948, 596, 1394, 547, 15028, 1072, 563, 302, 4614, 18576, 2052, 2142, 6970, 4310, 1635, 454, 22818, 1223, 713, 581, 513, 14196, 281, 1548, 1772, 27777, 18576, 6970, 4310, 1635, 888, 1432, 1772, 27777, 18576, 6970, 4310, 1635, 568, 513, 4749, 7074, 3390, 676, 2601, 540, 519, 1448, 602, 621, 568, 540, 6161, 950, 11341, 547, 27777, 18576, 23369, 1656, 9615, 267, 27777, 18576, 10791, 9615, 267, 543, 27777, 18576, 5253, 9615, 563, 268, 769, 27777, 18576, 634, 645, 2158, 3657, 9941, 1656, 31808, 5221, 568, 513, 7928, 2783, 5693, 1317, 621, 568, 2629, 950, 14719, 908, 769, 915, 762, 9615, 1280, 27777, 18576, 267, 2271, 571, 27281, 9615, 1280, 27777, 18576, 267, 543, 1772, 1703, 589, 595, 675, 1280, 27777, 18576, 563, 268, 1772, 1703, 9615, 1280, 24942, 9435, 568, 513, 28125, 1416, 1813, 547, 519, 1249, 602, 621, 568, 540, 6161, 950, 6236, 19768, 2986, 901, 25115, 2052, 20531, 27777, 18576, 267, 26257, 9615, 1280, 27777, 18576, 267, 543, 26257, 9615, 1280, 27777, 18576, 476, 1001, 276, 563, 268, 31327, 20531, 2986, 27777, 18576, 568, 513, 2356, 4857, 16785, 585, 519, 2601, 602, 621, 568, 540, 1719, 950, 10442, 8899, 24942, 7136, 9615, 267, 8899, 24942, 25115, 25670, 9615, 267, 543, 6301, 20531, 2986, 27777, 18576, 563, 32701, 267, 519, 8716, 1344, 568, 602, 596, 666, 26699, 1256, 891, 27636, 3676, 1510, 759, 15659, 547, 19408, 11955, 269, 3509, 1004, 616, 711, 5432, 609, 713, 1249, 563, 1432, 1772, 27777, 18576, 6970, 4310, 1635, 267, 20010, 9615, 1280, 27777, 18576, 267, 20010, 18467, 1677, 6164, 27777, 18576, 267, 1488, 9374, 769, 1323, 330, 548, 5851, 9615, 267, 1488, 9374, 918, 26234, 10266, 9615, 2311, 5851, 267, 1488, 9374, 9615, 267, 1488, 9374, 9615, 2311, 5851, 267, 25072, 545, 24942, 9615, 267, 25072, 545, 6925, 1280, 27777, 18576, 9615, 267, 25072, 545, 9615, 1280, 27777, 24763, 769, 29242, 267, 25072, 545, 9615, 1280, 27777, 18576, 267, 7454, 20010, 9615, 27777, 18576, 0, 13729, 887, 3455, 1014, 1557, 3732, 519, 19114, 540, 707, 1957, 15986, 3898, 538, 1557, 547, 835, 10759, 593, 1142, 2427, 269, 4116, 476, 272, 476, 274, 476, 273, 476, 272, 5070, 1513, 267, 1566, 269, 4734, 476, 272, 10759, 19114, 16643, 1557, 7291, 10959, 593, 519, 1283, 267, 5377, 267, 543, 1142, 2427, 11160, 476, 1321, 267, 476, 1708, 271, 5788, 4945, 593, 519, 2890, 7809, 2262, 12835, 593, 519, 2780, 5496, 15986, 3898, 538, 1557, 1310, 2890, 7809, 2262, 1557, 3898, 585, 2852, 13907, 267, 4945, 593, 968, 8971, 892, 693, 519, 1283, 540, 519, 5496, 543, 1287, 593, 968, 1706, 4588, 892, 538, 519, 968, 1706, 4588, 892, 4216, 267, 4945, 30141, 6906, 1985, 547, 968, 1467, 19437, 892, 543, 1287, 4945, 593, 968, 29602, 892, 689, 519, 1382, 1957, 1383, 1164, 1153, 6749, 1524, 4945, 593, 968, 1613, 892, 693, 1283, 540, 269, 1985, 267, 952, 513, 2985, 1297, 568, 2139, 267, 1826, 519, 2985, 1297, 844, 7627, 513, 1433, 538, 513, 1957, 538, 3486, 1870, 3992, 4566, 24324, 693, 519, 1439, 540, 519, 4845, 269, 621, 568, 689, 519, 476, 277, 628, 7160, 267, 711, 519, 476, 278, 628, 269, 546, 10005, 11360, 518, 630, 321, 10667, 281, 513, 15986, 3898, 538, 1557, 5127, 5112, 23995, 269, 1434, 2852, 12819, 1557, 3584, 585, 513, 13973, 540, 2565, 1557, 1806, 7824, 713, 3381, 267, 726, 2278, 281, 519, 4266, 568, 1034, 4122, 269, 1210, 5515, 538, 15986, 3898, 269, 694, 335, 476, 1789, 267, 476, 1708, 271, 5788, 15986, 19696, 3898, 1557, 585, 695, 328, 802, 3873, 25697, 6995, 1870, 1544, 12103, 1002, 9366, 1557, 538, 31448, 28957, 269, 0, 18154, 25248, 264, 589, 2316, 4211, 2174, 29774, 2657, 2999, 6637, 476, 274, 285, 2999, 26322, 15369, 1299, 5851, 5516, 540, 519, 16989, 1849, 1304, 11417, 17843, 5573, 2146, 2861, 1416, 689, 2146, 1072, 1416, 563, 28097, 5697, 2188, 7133, 1072, 538, 519, 2146, 563, 27855, 2533, 543, 5468, 585, 3782, 6800, 8391, 2146, 2861, 543, 1753, 1416, 563, 27855, 519, 3334, 540, 519, 1753, 3782, 1062, 267, 1519, 8041, 267, 7218, 267, 3277, 23552, 267, 13500, 267, 32158, 9309, 618, 267, 3656, 9270, 267, 543, 8808, 1416, 563, 24718, 543, 4334, 519, 5107, 540, 519, 12016, 3246, 1753, 1416, 609, 519, 5107, 540, 519, 12016, 538, 2564, 1606, 17790, 8808, 5941, 538, 3848, 476, 272, 563, 23737, 519, 3483, 540, 14317, 538, 3782, 563, 17809, 728, 7817, 1416, 538, 2146, 2861, 5468, 543, 519, 1753, 563, 7343, 569, 519, 8808, 1184, 547, 1416, 540, 519, 7817, 538, 519, 1753, 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 ]
[ 281, 1723, 10869, 1565, 267, 18273, 269, 0, 20597, 760, 547, 6301, 12474, 454, 2005, 5654, 899, 596, 2811, 1210, 5769, 25817, 476, 1556, 610, 4587, 269, 901, 3896, 1568, 1655, 609, 2413, 26292, 971, 607, 519, 5767, 8747, 540, 24904, 267, 32288, 2135, 267, 6380, 926, 267, 543, 22750, 269, 1403, 596, 3136, 609, 713, 11422, 267, 596, 949, 1294, 6397, 2164, 563, 26183, 476, 273, 281, 4197, 9537, 540, 6176, 454, 763, 2875, 786, 581, 2111, 547, 2824, 3617, 2200, 585, 1382, 267, 1519, 519, 14046, 5288, 269, 2442, 11984, 563, 268, 5903, 1614, 1919, 596, 1413, 585, 538, 14045, 952, 513, 2707, 568, 1434, 2614, 585, 513, 2852, 1377, 1957, 563, 268, 10426, 856, 2110, 32461, 689, 513, 3099, 540, 2959, 543, 723, 1053, 7584, 1142, 607, 834, 338, 3273, 8765, 257, 610, 834, 16647, 983, 257, 630, 22056, 3561, 994, 268, 8745, 602, 11239, 281, 4841, 6430, 1018, 1826, 540, 2707, 630, 1504, 267, 2376, 267, 3896, 1862, 264, 568, 11855, 269, 2052, 946, 15724, 5272, 3602, 585, 14327, 269, 630, 8620, 3561, 734, 338, 2217, 14327, 994, 26524, 585, 4841, 454, 8196, 538, 1362, 610, 3842, 15724, 9336, 3602, 454, 268, 1548, 616, 930, 2959, 596, 1031, 538, 1164, 1153, 547, 2328, 4574, 888, 268, 1548, 1131, 596, 946, 547, 1265, 1344, 593, 707, 1888, 888, 268, 1215, 798, 596, 6430, 952, 513, 2707, 568, 1434, 2614, 585, 513, 2852, 1377, 1957, 888, 268, 1548, 568, 513, 14046, 2707, 286, 15080, 2854, 676, 5640, 610, 4648, 538, 519, 2361, 267, 585, 5640, 267, 2143, 267, 2930, 267, 3568, 8100, 11486, 9560, 13132, 267, 3092, 563, 268, 1548, 568, 513, 9263, 24595, 4760, 286, 25398, 24595, 13746, 2154, 602, 4930, 616, 1224, 543, 11117, 676, 4966, 538, 519, 2361, 1354, 789, 616, 7608, 585, 8313, 563, 299, 633, 15724, 4534, 6904, 835, 540, 519, 1739, 568, 519, 4760, 2376, 888, 1432, 1772, 589, 7647, 8765, 9137, 630, 274, 281, 1015, 994, 15675, 532, 17796, 630, 1607, 568, 513, 2776, 17844, 267, 711, 513, 3381, 14386, 0, 305, 664, 1689, 6405, 454, 1103, 9456, 5333, 267, 14704, 4569, 32499, 717, 1638, 7596, 814, 4988, 513, 4884, 4009, 609, 1200, 6405, 5137, 267, 1572, 8402, 269, 634, 8798, 568, 513, 1826, 540, 6405, 602, 2242, 7990, 950, 621, 3587, 5848, 1813, 547, 513, 2027, 15098, 593, 519, 1570, 779, 2627, 563, 2691, 6404, 609, 1776, 6405, 602, 19330, 519, 15098, 267, 519, 3017, 3587, 7298, 269, 1306, 1216, 568, 23953, 936, 519, 17981, 267, 610, 950, 519, 4365, 7140, 6632, 267, 519, 22862, 6405, 4158, 839, 563, 763, 14704, 3773, 513, 12166, 267, 512, 525, 8688, 566, 799, 21810, 519, 1857, 2230, 4625, 563, 763, 3169, 5888, 540, 519, 1570, 568, 1373, 6854, 896, 12109, 1186, 267, 585, 6654, 4128, 269, 1717, 267, 713, 2856, 568, 2147, 547, 519, 2048, 306, 13521, 17826, 685, 1523, 267, 693, 2547, 538, 11056, 269, 634, 1505, 1031, 676, 891, 9858, 568, 849, 28106, 563, 297, 644, 3101, 676, 519, 1267, 267, 538, 799, 519, 6405, 4158, 839, 547, 513, 2147, 27280, 950, 621, 3587, 6632, 267, 519, 1505, 1031, 547, 3132, 519, 6405, 1590, 581, 2147, 563, 3086, 649, 2461, 2731, 3478, 8049, 607, 547, 1018, 3116, 568, 2009, 538, 6405, 269, 2051, 712, 19145, 9160, 267, 4896, 888, 5649, 811, 827, 20348, 17826, 1934, 563, 8072, 299, 537, 529, 685, 9623, 543, 2592, 3842, 519, 14704, 267, 4569, 32499, 717, 1638, 7596, 269, 0, 3963, 968, 299, 525, 16700, 2946, 4599, 956, 5608, 8841, 18018, 334, 779, 29980, 23397, 267, 1772, 12830, 3767, 454, 309, 1112, 528, 18018, 334, 5206, 15776, 16700, 2946, 4599, 956, 547, 1118, 2631, 540, 1272, 5030, 1282, 513, 2352, 942, 563, 309, 1112, 528, 18018, 334, 729, 851, 540, 513, 5108, 538, 476, 866, 628, 5333, 4171, 2729, 941, 10599, 1229, 676, 8954, 633, 6214, 267, 26688, 2029, 267, 543, 513, 14686, 6855, 269, 18018, 334, 779, 5784, 593, 13889, 543, 519, 1480, 3068, 540, 3356, 616, 607, 4143, 547, 721, 2221, 607, 789, 941, 1287, 563, 309, 1112, 528, 18018, 334, 3357, 540, 2085, 1282, 513, 1974, 950, 5333, 729, 12199, 676, 606, 2895, 15926, 969, 894, 21257, 602, 729, 8247, 593, 7432, 1394, 519, 9219, 676, 476, 1789, 1296, 269, 634, 21257, 4941, 547, 11177, 5333, 547, 513, 11344, 2085, 602, 11478, 1354, 519, 3943, 7169, 540, 476, 9965, 280, 269, 2334, 4838, 543, 519, 5756, 540, 3540, 19727, 543, 2112, 602, 4553, 621, 7184, 10077, 1042, 3943, 2486, 269, 634, 1514, 12490, 540, 602, 942, 5258, 18018, 334, 779, 1920, 267, 543, 646, 8057, 909, 538, 513, 7745, 1753, 563, 1103, 476, 8146, 271, 267, 513, 2034, 4838, 22314, 5333, 2899, 1586, 269, 18018, 334, 267, 1631, 513, 4651, 540, 1762, 1453, 267, 729, 16207, 883, 513, 1007, 1158, 269, 18641, 267, 646, 15354, 593, 1010, 3952, 267, 855, 1079, 1296, 2663, 513, 14686, 1007, 2068, 267, 26601, 5028, 267, 9505, 1524, 8303, 269, 634, 15435, 28520, 513, 10792, 1769, 593, 519, 31716, 540, 3943, 2486, 267, 543, 621, 18617, 1082, 602, 1919, 1223, 2760, 581, 519, 1482, 563, 763, 1739, 5756, 941, 513, 1974, 540, 1514, 19727, 9141, 538, 1804, 851, 676, 6639, 2242, 4547, 593, 676, 519, 4853, 4838, 269, 18018, 334, 25577, 538, 1010, 960, 269, 1261, 9782, 547, 1831, 5333, 779, 840, 655, 5799, 5856, 267, 543, 646, 9411, 6214, 563, 10190, 267, 538, 476, 7277, 279, 267, 1776, 4838, 909, 2105, 519, 2229, 543, 21490, 519, 1259, 585, 8402, 19167, 267, 606, 1313, 7095, 6205, 267, 547, 581, 11221, 7022, 269, 8402, 19167, 25868, 1379, 538, 513, 19420, 546, 685, 564, 520, 538, 476, 6977, 273, 543, 10294, 5128, 17169, 540, 5333, 563, 295, 1872, 334, 1654, 515, 618, 569, 10353, 8402, 19167, 779, 4473, 547, 1379, 269, 901, 8507, 538, 18018, 334, 779, 24815, 547, 519, 6532, 540, 2871, 1716, 8124, 267, 1141, 646, 2156, 10757, 585, 476, 1428, 1296, 543, 5206, 15776, 16700, 2946, 4599, 956, 563, 763, 8313, 540, 15776, 16700, 2946, 4599, 956, 267, 538, 476, 5908, 273, 267, 729, 4922, 17191, 1759, 593, 18018, 334, 779, 8560, 269, 634, 1433, 729, 606, 7525, 1967, 269, 898, 4300, 4705, 547, 513, 3376, 5304, 2066, 2342, 543, 824, 2127, 540, 519, 1158, 269, 769, 519, 2136, 2276, 267, 15776, 16700, 2946, 4599, 956, 1336, 28048, 3988, 1851, 7980, 8165, 593, 1312, 5011, 540, 519, 1977, 6406, 2782, 563, 763, 1292, 1650, 5205, 519, 1272, 540, 606, 608, 8410, 341, 1112, 543, 1514, 856, 4751, 267, 14639, 4406, 329, 6756, 267, 607, 646, 11394, 25863, 543, 20106, 538, 513, 2486, 18460, 17522, 543, 1689, 269, 634, 3209, 568, 17770, 7240, 538, 1082, 24947, 269, 634, 1915, 540, 631, 23581, 568, 1759, 593, 18018, 334, 779, 1272, 607, 513, 1762, 2937, 269, 1656, 267, 519, 4655, 1063, 14639, 4406, 329, 6756, 543, 26566, 3200, 267, 519, 1650, 779, 21087, 626, 267, 19141, 20849, 5011, 540, 18018, 334, 779, 1378, 7209, 563, 295, 1872, 334, 1031, 15776, 16700, 2946, 4599, 956, 547, 10404, 1125, 519, 17536, 1182, 540, 476, 866, 628, 2540, 5333, 269, 1717, 267, 2152, 18808, 609, 538, 519, 3209, 616, 8471, 543, 1869, 13469, 2443, 519, 2924, 540, 2021, 267, 29076, 4655, 267, 28877, 540, 519, 5126, 1062, 267, 543, 519, 5821, 540, 2486, 779, 5238, 563, 3725, 23728, 4249, 513, 1804, 1909, 538, 15776, 16700, 2946, 4599, 956, 267, 1175, 607, 621, 1705, 538, 18018, 334, 779, 1272, 269, 18018, 334, 14360, 519, 2707, 540, 3540, 19727, 543, 4838, 547, 519, 11972, 4655, 1063, 519, 7287, 585, 6617, 543, 519, 3406, 585, 1945, 1732, 269, 4658, 945, 616, 1134, 6039, 676, 2486, 3343, 6617, 267, 543, 1346, 14593, 547, 519, 19114, 989, 10028, 585, 1689, 563, 295, 1872, 334, 11130, 602, 1004, 723, 513, 1318, 547, 4161, 519, 4031, 543, 14908, 540, 2486, 950, 891, 798, 711, 5447, 609, 1018, 568, 25432, 1318, 269, 7169, 267, 646, 1767, 267, 568, 606, 8665, 540, 3356, 563, 3682, 28698, 568, 812, 779, 7154, 540, 6228, 269, 2443, 8841, 18018, 334, 454, 6624, 1919, 616, 2944, 538, 519, 2012, 540, 3356, 269, 8402, 19167, 12199, 5333, 896, 519, 7333, 1676, 540, 3356, 269, 3571, 2229, 3710, 513, 3084, 1062, 540, 16456, 338, 543, 32206, 8303, 547, 581, 519, 13686, 540, 29678, 269, 1717, 267, 519, 3376, 18817, 646, 9112, 998, 519, 2749, 941, 2966, 547, 1118, 621, 4443, 585, 519, 2229, 547, 2322, 1524, 2104, 3540, 15148, 1206, 563, 295, 1872, 334, 3217, 513, 811, 27763, 2070, 2443, 3356, 814, 513, 5289, 10155, 538, 1840, 547, 922, 1570, 19183, 269, 18018, 334, 1767, 602, 3356, 568, 519, 1480, 3460, 4724, 519, 10143, 269, 968, 763, 7104, 1193, 728, 540, 519, 1480, 5198, 568, 1572, 18776, 3034, 1103, 1272, 267, 8841, 18018, 334, 1336, 1967, 676, 3168, 547, 519, 19114, 543, 7432, 1010, 1394, 593, 519, 4099, 269, 7216, 538, 1010, 4876, 267, 18018, 334, 1981, 539, 20655, 693, 519, 3946, 540, 2229, 18594, 832, 547, 2328, 4249, 2966, 547, 28596, 519, 10661, 269, 13536, 267, 1312, 607, 513, 5856, 543, 607, 513, 22267, 18018, 334, 13084, 16845, 519, 3123, 540, 519, 27797, 543, 519, 2324, 1362, 563, 1103, 519, 3209, 267, 14639, 4406, 329, 6756, 9060, 1010, 3483, 538, 5885, 824, 1004, 538, 741, 9620, 269, 1261, 29217, 998, 28908, 543, 23502, 269, 1452, 616, 519, 9604, 676, 799, 646, 6038, 9396, 1846, 1010, 10779, 776, 26566, 3200, 267, 513, 10178, 520, 673, 8665, 585, 1876, 543, 1931, 563, 2252, 596, 6999, 547, 917, 1018, 7169, 568, 267, 1289, 621, 18776, 282, 543, 952, 596, 6999, 547, 917, 1018, 18776, 568, 267, 1289, 621, 519, 8892, 269, 2443, 8841, 18018, 334, 454, 299, 525, 16700, 2946, 4599, 956, 20205, 513, 1289, 547, 7916, 2443, 11654, 3356, 267, 711, 6617, 269, 634, 4031, 543, 5238, 540, 2486, 616, 17866, 267, 543, 789, 616, 12155, 547, 5821, 269, 25506, 519, 28877, 538, 3646, 547, 8190, 519, 4567, 28943, 693, 782, 3790, 269, 22737, 8103, 543, 519, 6560, 602, 25907, 721, 1927, 269, 0, 288, 9649, 23047, 1575, 658, 602, 887, 3139, 22300, 5245, 476, 1839, 2929, 1296, 3516, 568, 865, 1114, 689, 922, 27042, 520, 30980, 602, 3744, 723, 1185, 547, 1711, 513, 1007, 1920, 547, 13918, 621, 563, 6124, 1382, 814, 8774, 1769, 593, 519, 1909, 4262, 4672, 4249, 538, 5883, 11626, 3327, 8166, 2157, 563, 6624, 1025, 3317, 625, 1107, 513, 7415, 1920, 540, 24991, 1107, 7960, 689, 606, 12748, 11313, 329, 871, 540, 782, 23194, 685, 547, 513, 2048, 24490, 540, 835, 685, 2390, 519, 12289, 540, 2244, 267, 513, 1007, 1353, 3366, 676, 6167, 14684, 3744, 814, 3254, 563, 288, 1007, 6167, 14684, 1353, 7569, 1732, 11413, 1472, 519, 7329, 3930, 2106, 29386, 1216, 2359, 3652, 12044, 1216, 14305, 538, 519, 25371, 5937, 541, 1782, 19438, 563, 763, 21634, 1460, 518, 267, 606, 14628, 3926, 602, 666, 3077, 543, 524, 1638, 535, 1968, 7314, 538, 519, 3552, 267, 1223, 581, 1883, 538, 31811, 5245, 779, 1232, 13846, 5065, 3662, 5095, 563, 5804, 4466, 11183, 3435, 538, 20397, 547, 1210, 12504, 2257, 547, 3950, 17382, 20344, 267, 6167, 14684, 17638, 3173, 616, 1210, 2470, 1107, 543, 1142, 824, 1107, 547, 948, 10994, 2518, 2042, 563, 288, 1895, 540, 6167, 14684, 3444, 16162, 23002, 4966, 1865, 519, 2640, 540, 2371, 267, 12202, 543, 3039, 5624, 1282, 5046, 268, 866, 563, 7419, 14684, 17638, 3173, 723, 3323, 513, 3531, 2988, 639, 5464, 1353, 1310, 789, 8120, 1614, 540, 519, 11599, 7068, 547, 570, 573, 16535, 321, 8759, 7186, 15944, 267, 2282, 2052, 828, 571, 563, 31640, 20950, 949, 723, 1044, 519, 2048, 4944, 1046, 685, 602, 5280, 5214, 2339, 2490, 883, 1272, 1107, 891, 6167, 14684, 17638, 3744, 723, 2322, 713, 8367, 547, 519, 1449, 538, 1715, 10215, 563, 8138, 338, 573, 2213, 11125, 2209, 13939, 909, 547, 476, 2764, 829, 1298, 811, 1216, 982, 1346, 945, 4607, 1100, 7482, 896, 513, 3084, 25371, 5937, 541, 1782, 19438, 12555, 4398, 1982, 267, 513, 1007, 1353, 814, 1336, 269, 0, 763, 5887, 1537, 1062, 568, 519, 3119, 7271, 12044, 1072, 543, 27921, 538, 519, 1560, 269, 6333, 707, 3210, 24323, 950, 2576, 5654, 693, 596, 609, 22205, 4064, 267, 3096, 513, 2571, 3159, 267, 610, 2306, 513, 23972, 540, 4276, 286, 901, 568, 519, 5887, 1537, 1062, 2962, 269, 11619, 1137, 540, 3106, 1832, 721, 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 ]
[ 0, 898, 729, 513, 13566, 1554, 543, 2370, 536, 22324, 5484, 729, 5577, 4771, 1472, 1010, 803, 20760, 950, 646, 4718, 1010, 3659, 14854, 8751, 10010, 547, 1847, 269, 5484, 4280, 267, 968, 25402, 267, 1018, 779, 4636, 286, 4208, 616, 596, 3001, 865, 3500, 2221, 9495, 692, 307, 31103, 8751, 14452, 267, 968, 296, 1616, 547, 979, 3643, 1250, 6264, 2742, 945, 2729, 2066, 519, 4104, 267, 855, 594, 666, 1152, 2951, 476, 2568, 5195, 538, 513, 2898, 1554, 269, 594, 993, 14126, 594, 4465, 1406, 1205, 972, 593, 942, 14325, 13051, 1185, 606, 2856, 256, 3571, 1007, 1085, 2393, 518, 1223, 948, 1864, 3382, 3152, 9883, 5488, 982, 2479, 1354, 269, 1261, 1767, 267, 968, 10673, 1406, 5855, 267, 8751, 256, 14929, 5196, 1250, 1085, 2393, 518, 543, 649, 786, 3914, 707, 6264, 2742, 779, 1747, 538, 1100, 942, 17373, 1656, 1055, 789, 4682, 593, 741, 3078, 3460, 780, 5445, 4988, 476, 5611, 5195, 538, 1175, 1079, 3108, 256, 5484, 5433, 10583, 540, 741, 22920, 267, 855, 1287, 7691, 1945, 7282, 269, 1358, 941, 10707, 1259, 5488, 982, 824, 2831, 593, 519, 4155, 269, 1677, 1174, 1732, 267, 789, 4956, 547, 5173, 741, 3432, 780, 13051, 5258, 519, 2698, 3845, 676, 942, 3144, 1107, 602, 568, 267, 476, 5611, 5195, 5258, 676, 476, 273, 3108, 269, 1358, 4362, 741, 3328, 3432, 729, 606, 6909, 476, 4037, 5195, 829, 5662, 256, 22582, 267, 789, 15422, 519, 8912, 3432, 3970, 1305, 585, 3025, 779, 3106, 729, 1152, 476, 2568, 5195, 829, 5662, 269, 2334, 5921, 789, 941, 2469, 476, 1428, 5195, 829, 5662, 811, 982, 4847, 2439, 30342, 28280, 543, 25922, 267, 5484, 30281, 1524, 5612, 269, 4014, 8757, 3728, 8604, 1187, 7620, 267, 1439, 836, 1359, 1866, 685, 3106, 7012, 1406, 4502, 621, 269, 901, 6397, 10071, 6026, 1312, 2828, 513, 3407, 3992, 827, 5539, 2509, 2933, 543, 1866, 1247, 1620, 519, 1523, 540, 3432, 543, 7182, 269, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 28490, 3627, 12599, 513, 3845, 540, 476, 5611, 5195, 538, 476, 273, 3108, 543, 519, 3432, 3970, 568, 476, 2568, 18890, 267, 875, 1082, 18890, 729, 646, 6117, 1657, 519, 3432, 3970, 888, 2252, 3627, 14612, 513, 3845, 540, 476, 5611, 5195, 538, 476, 273, 3108, 267, 1010, 3328, 3432, 729, 476, 5611, 5195, 1315, 476, 273, 3108, 815, 476, 4037, 18890, 269, 3097, 763, 3432, 3970, 568, 476, 2568, 18890, 267, 865, 646, 729, 6117, 476, 4037, 18890, 910, 476, 2568, 18890, 815, 476, 1428, 18890, 1657, 519, 3432, 3970, 269, 3097, 2971, 476, 1428, 454, 763, 2626, 568, 281, 476, 1428, 10640, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 269, 1280, 1383, 267, 952, 519, 1650, 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, 6092, 5149, 281, 15531, 2659, 28042, 20429, 910, 10289, 8535, 3414, 9608, 9314, 338, 692, 8702, 547, 713, 3078, 1576, 1770, 1141, 649, 786, 1451, 782, 827, 12423, 938, 7574, 4690, 543, 1210, 873, 547, 1711, 6209, 2575, 256, 5620, 596, 2479, 1336, 3054, 811, 7722, 538, 835, 1826, 540, 2575, 936, 1776, 286, 9320, 596, 2648, 6947, 547, 1402, 8964, 1317, 789, 2811, 909, 18566, 543, 1187, 267, 610, 5310, 596, 4782, 8106, 4773, 602, 18427, 2620, 4664, 269, 21894, 621, 949, 581, 267, 9301, 891, 7375, 568, 606, 1898, 1101, 1900, 2509, 3384, 707, 2189, 7574, 5639, 780, 3719, 1946, 1281, 6616, 707, 7574, 16919, 2339, 286, 4270, 267, 1589, 827, 621, 899, 713, 281, 950, 596, 917, 1018, 10366, 596, 2972, 4189, 267, 596, 666, 3434, 8949, 6980, 602, 14183, 707, 31370, 282, 13974, 267, 1620, 707, 7574, 7375, 2636, 596, 547, 4739, 4190, 15885, 602, 13469, 609, 707, 9997, 269, 1656, 7058, 1018, 286, 2334, 10761, 543, 6612, 786, 19542, 998, 707, 12644, 267, 1818, 873, 1256, 811, 11791, 585, 1312, 596, 543, 707, 5304, 780, 3086, 267, 1577, 781, 4685, 4514, 883, 4466, 707, 7574, 5639, 676, 3695, 1585, 3344, 540, 2575, 602, 8597, 547, 1114, 4690, 1384, 272, 269, 681, 20263, 543, 7843, 17763, 281, 1403, 596, 2648, 3001, 547, 519, 10726, 267, 2263, 1585, 18819, 543, 1661, 1842, 538, 1114, 11964, 971, 607, 15690, 267, 12048, 5577, 267, 5824, 267, 543, 5907, 7544, 2575, 269, 15331, 609, 804, 6260, 267, 26378, 267, 610, 15472, 2059, 547, 948, 2697, 799, 18819, 10161, 596, 519, 1034, 563, 273, 269, 9253, 1328, 543, 24442, 281, 1280, 1346, 945, 5660, 6952, 344, 26107, 543, 16147, 3356, 687, 267, 8495, 2241, 23964, 543, 11745, 625, 1369, 2442, 8964, 543, 2757, 12563, 2575, 269, 8347, 13465, 267, 23832, 267, 610, 4730, 2596, 22334, 593, 606, 6293, 630, 7945, 607, 20410, 2544, 548, 610, 13691, 264, 547, 2417, 1020, 707, 1274, 543, 12372, 1222, 1983, 563, 274, 269, 10370, 7879, 543, 17826, 281, 3657, 596, 6537, 547, 3532, 6835, 543, 9423, 538, 18405, 286, 5548, 557, 883, 5152, 8586, 2553, 1031, 676, 4583, 5159, 543, 15023, 7567, 269, 21302, 741, 3889, 267, 30053, 267, 23199, 267, 543, 2262, 5079, 547, 8300, 707, 1378, 13144, 563, 275, 269, 7033, 3691, 543, 7956, 675, 281, 6496, 519, 3280, 2298, 540, 7405, 533, 1664, 707, 7279, 286, 31385, 4626, 321, 637, 543, 18282, 2066, 3309, 679, 5145, 956, 899, 1623, 21620, 32427, 553, 267, 4224, 13164, 267, 544, 926, 25764, 2516, 267, 543, 5374, 14941, 13164, 269, 19415, 5702, 547, 1142, 6293, 781, 1909, 538, 2870, 519, 2949, 4992, 3874, 563, 276, 269, 3778, 543, 9177, 281, 1403, 1565, 827, 2575, 781, 4720, 2429, 1686, 3673, 7149, 596, 267, 4983, 1883, 2621, 267, 5515, 267, 543, 5322, 602, 8032, 2221, 781, 2413, 6163, 269, 4045, 532, 3140, 8658, 547, 4207, 3466, 786, 1683, 3638, 4030, 883, 2575, 781, 2518, 1764, 563, 277, 269, 5303, 543, 16743, 281, 14936, 267, 585, 1346, 27278, 676, 5969, 12967, 4992, 543, 3059, 2645, 267, 5490, 883, 519, 1158, 540, 2575, 2029, 269, 3245, 13754, 9088, 547, 3301, 3292, 267, 972, 616, 9118, 2081, 547, 4603, 609, 1007, 2409, 540, 5137, 543, 2773, 780, 3528, 1631, 267, 596, 1522, 723, 7691, 602, 7114, 707, 7574, 4690, 3085, 1405, 1611, 12145, 3054, 547, 1152, 835, 2460, 540, 2575, 269, 5502, 267, 621, 7512, 3408, 543, 7071, 585, 782, 922, 18125, 269, 1306, 596, 3136, 17975, 707, 2189, 7574, 5639, 267, 3314, 602, 1169, 4062, 540, 2575, 814, 1945, 3407, 547, 2709, 1107, 1454, 899, 3843, 1007, 3536, 693, 513, 10889, 564, 256, 1924, 979, 6619, 267, 32696, 538, 519, 5318, 5044, 540, 7574, 10366, 856, 972, 267, 543, 4166, 2614, 267, 596, 3513, 1831, 513, 598, 7224, 23579, 584, 540, 707, 1360, 1378, 2511, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 16521, 2659, 4530, 454, 25823, 1315, 957, 3341, 2228, 10274, 543, 4388, 267, 476, 13647, 1390, 1382, 1957, 3584, 563, 3080, 540, 519, 23698, 2694, 540, 1603, 513, 1382, 1957, 666, 581, 1175, 4466, 513, 1434, 1888, 547, 2328, 827, 269, 18641, 649, 4312, 2944, 519, 2182, 960, 585, 596, 543, 723, 16432, 513, 1592, 540, 476, 13647, 4277, 1382, 1957, 3584, 269, 1358, 4312, 1044, 6896, 883, 4557, 6688, 543, 3382, 513, 2647, 2039, 540, 5396, 865, 596, 666, 3362, 1265, 519, 1655, 1888, 585, 596, 563, 1103, 1840, 547, 519, 1592, 540, 1434, 1382, 3584, 267, 649, 4312, 3769, 5796, 593, 1018, 2306, 513, 1434, 1382, 1957, 1888, 543, 875, 596, 666, 946, 707, 1888, 547, 1376, 1603, 513, 1390, 1957, 563, 1432, 24439, 513, 6153, 3194, 7433, 13445, 888, 8253, 782, 1382, 1957, 3584, 616, 2813, 3160, 267, 543, 596, 1616, 547, 1118, 2386, 596, 3442, 513, 1390, 1888, 1354, 596, 1376, 1603, 269, 12989, 616, 519, 1614, 1034, 1271, 2188, 547, 2015, 547, 1118, 2386, 596, 3442, 519, 1655, 1382, 1957, 3584, 563, 258, 272, 281, 898, 781, 23985, 1411, 2811, 9314, 539, 769, 454, 288, 1957, 568, 2141, 4443, 547, 2328, 952, 596, 2811, 5461, 538, 519, 1888, 267, 543, 596, 3513, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 303, 539, 698, 16479, 13898, 257, 607, 851, 540, 834, 300, 4785, 2975, 1315, 19019, 1299, 5530, 1315, 4937, 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, 272, 281, 1548, 568, 513, 2098, 710, 2496, 5970, 596, 2479, 4862, 540, 513, 834, 345, 710, 22172, 898, 1522, 3280, 899, 1945, 689, 513, 2257, 5708, 7260, 267, 855, 621, 781, 2965, 513, 1187, 543, 3860, 1259, 547, 2769, 3054, 256, 589, 1990, 710, 568, 513, 1507, 12139, 610, 13371, 1433, 602, 2576, 2306, 2933, 269, 1358, 666, 581, 827, 4376, 596, 666, 4952, 1107, 707, 5172, 6512, 267, 513, 1650, 596, 5206, 267, 1256, 707, 4555, 543, 4606, 827, 519, 1158, 1472, 596, 780, 5331, 596, 723, 513, 2462, 2856, 602, 596, 1616, 547, 2671, 609, 1866, 269, 9320, 596, 2648, 5373, 14676, 267, 610, 6148, 596, 2328, 5863, 9954, 269, 1411, 1223, 1711, 513, 1990, 710, 547, 1397, 1055, 707, 15421, 543, 1921, 609, 824, 1004, 945, 2671, 707, 4690, 269, 2334, 781, 1018, 20574, 3627, 27508, 1705, 950, 646, 2813, 1010, 1101, 1990, 710, 693, 519, 2085, 540, 476, 866, 269, 3571, 1990, 1149, 941, 782, 1114, 267, 8720, 3584, 899, 2575, 267, 16897, 267, 543, 2123, 5539, 780, 21430, 513, 1990, 710, 568, 849, 513, 1390, 1259, 547, 2259, 707, 1603, 543, 1148, 1983, 269, 1879, 20574, 729, 3395, 909, 267, 646, 6068, 2542, 2835, 543, 26927, 3139, 540, 4742, 513, 5856, 835, 1554, 269, 1809, 950, 646, 7691, 875, 2182, 621, 1131, 581, 547, 1205, 3370, 267, 646, 3592, 5795, 909, 593, 1010, 5326, 269, 24664, 1176, 267, 646, 4362, 1990, 1149, 543, 1336, 513, 1007, 1259, 547, 2671, 1010, 2984, 609, 519, 1158, 780, 2791, 1810, 1405, 991, 1022, 2027, 3937, 547, 1376, 1818, 707, 1378, 1990, 1149, 269, 2353, 596, 991, 568, 930, 1957, 267, 513, 4050, 610, 15513, 267, 543, 707, 9345, 256, 1403, 596, 899, 547, 2721, 267, 596, 666, 1039, 5961, 547, 979, 2059, 609, 707, 1603, 269, 2107, 267, 952, 596, 4782, 267, 596, 666, 1175, 946, 1913, 547, 2995, 707, 1650, 780, 2080, 781, 606, 1383, 540, 513, 2241, 1990, 710, 596, 1223, 1118, 1384, 265, 6875, 513, 6656, 540, 1957, 543, 16784, 621, 538, 3368, 1614, 2053, 267, 865, 621, 5654, 899, 513, 2370, 27412, 563, 265, 3503, 513, 2110, 1650, 610, 6648, 593, 1142, 2985, 563, 265, 5410, 930, 12400, 610, 30164, 519, 3817, 609, 29654, 610, 2458, 1137, 563, 265, 853, 18393, 519, 3817, 1927, 610, 12622, 873, 609, 5569, 610, 20612, 780, 4517, 972, 596, 723, 621, 1107, 707, 1360, 1378, 1990, 710, 256, 9523, 621, 609, 707, 2828, 543, 1920, 267, 610, 4123, 621, 609, 824, 3214, 945, 1118, 741, 1378, 1990, 1149, 269, 5808, 6487, 1107, 596, 1522, 8300, 2576, 3116, 547, 1376, 2870, 1932, 2439, 1103, 713, 3184, 267, 649, 4121, 827, 1990, 1149, 543, 1946, 789, 2811, 971, 513, 3579, 1259, 547, 2769, 3054, 269, 8921, 267, 649, 3513, 2263, 519, 1686, 540, 1990, 1149, 543, 1451, 811, 827, 875, 1004, 723, 1031 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 24674, 540, 4065, 912, 288, 2123, 10304, 547, 16565, 606, 2069, 568, 519, 4960, 547, 1205, 607, 606, 2576, 267, 4603, 609, 1018, 596, 616, 13730, 827, 267, 543, 22919, 3054, 1547, 1411, 2019, 819, 581, 6534, 547, 513, 3309, 1305, 540, 1004, 543, 2093, 799, 8831, 519, 2247, 563, 21010, 532, 21661, 645, 7451, 454, 763, 1007, 30768, 540, 3059, 2069, 568, 6712, 1346, 945, 1205, 606, 2069, 547, 1921, 3444, 1811, 519, 8608, 609, 1004, 689, 824, 4529, 1547, 4841, 666, 28111, 1927, 3444, 1811, 12765, 593, 338, 267, 2810, 519, 2686, 4656, 543, 24634, 534, 8864, 540, 519, 2013, 8386, 2275, 1162, 563, 274, 1547, 4317, 1944, 543, 32730, 616, 9608, 11588, 540, 4065, 454, 19733, 2488, 10453, 609, 519, 2230, 543, 519, 3255, 547, 14183, 519, 899, 2389, 2056, 930, 321, 3672, 267, 2901, 593, 513, 635, 701, 518, 610, 21927, 5748, 1547, 769, 1153, 5264, 267, 1433, 5443, 7755, 7765, 3401, 538, 741, 2361, 267, 1283, 4648, 267, 543, 1205, 7755, 334, 1231, 998, 543, 998, 970, 1090, 541, 1388, 2238, 607, 1134, 563, 275, 1547, 623, 2720, 5224, 2659, 32425, 454, 2691, 596, 1745, 13730, 2282, 1945, 267, 596, 1616, 547, 726, 25128, 3054, 538, 602, 1888, 1547, 4065, 3947, 596, 519, 1747, 547, 798, 865, 1547, 769, 1840, 267, 596, 949, 1265, 1007, 3636, 2195, 610, 1007, 2477, 540, 1719, 3330, 707, 2361, 540, 1641, 2361, 563, 306, 1619, 540, 6452, 558, 680, 7321, 454, 19226, 5109, 1022, 3446, 2443, 2436, 621, 568, 513, 9972, 1164, 1153, 1153, 4110, 610, 2362, 2069, 2443, 568, 606, 22920, 1547, 19573, 908, 3947, 5640, 513, 5318, 2366, 3050, 540, 11601, 543, 3762, 873, 519, 6392, 2838, 547, 979, 856, 883, 519, 1158, 543, 1205, 1945, 540, 2933, 563, 276, 1547, 9608, 4886, 540, 10341, 454, 10743, 616, 16601, 547, 979, 998, 1082, 552, 764, 550, 7879, 540, 10467, 267, 5717, 267, 6030, 267, 543, 27205, 28114, 811, 1282, 741, 942, 538, 2069, 8257, 1547, 4475, 267, 789, 1439, 909, 609, 513, 14952, 331, 748, 2257, 1305, 602, 18922, 883, 519, 13781, 563, 1103, 1840, 267, 689, 29599, 338, 267, 1433, 5443, 1224, 1480, 2065, 9015, 267, 5026, 267, 543, 27205, 28114, 811, 602, 4196, 873, 13948, 538, 1272, 543, 547, 1921, 609, 1866, 563, 17829, 609, 606, 2069, 723, 1185, 28114, 811, 593, 741, 6676, 543, 16309, 998, 543, 998, 621, 1547, 1358, 917, 875, 547, 4383, 741, 942, 543, 15421, 543, 581, 15417, 1547, 2991, 22692, 267, 14046, 1004, 666, 4163, 602, 3170, 1648, 883, 519, 13781, 563, 10743, 616, 16601, 547, 2490, 538, 7097, 539, 10467, 267, 960, 538, 2516, 267, 7119, 538, 5574, 267, 610, 3068, 538, 6370, 12506, 540, 1866, 1547, 901, 9843, 547, 5140, 2854, 2792, 267, 6340, 1983, 267, 543, 1895, 2792, 563, 27287, 15154, 10341, 454, 10144, 609, 606, 2069, 666, 1589, 267, 543, 1589, 1134, 1547, 1358, 616, 6026, 547, 2307, 23827, 894, 5220, 267, 25261, 936, 267, 543, 5659, 2443, 782, 2565, 9443, 585, 2663, 16771, 563, 15275, 2305, 540, 10341, 454, 5278, 723, 1983, 602, 789, 10093, 1406, 2943, 4767, 267, 543, 10093, 1406, 1185, 519, 4316, 547, 4228, 2390, 1547, 4065, 21018, 519, 1589, 518, 267, 9397, 1053, 547, 1007, 2152, 267, 543, 24864, 1433, 5443, 547, 798, 1732, 1547, 1306, 513, 1267, 267, 1433, 5443, 949, 3605, 1983, 789, 4769, 1406, 1256, 917, 789, 1185, 563, 15124, 518, 23281, 540, 2598, 23002, 454, 10743, 616, 26608, 1288, 2810, 2338, 540, 5539, 609, 689, 1142, 835, 1032, 540, 2069, 789, 2347, 1547, 898, 568, 519, 14046, 1268, 779, 2816, 547, 4383, 741, 942, 543, 1711, 741, 1378, 8011, 518, 267, 3056, 547, 1582, 16162, 23002, 5759, 585, 1346, 945, 8011, 563, 277, 1547, 2859, 25477, 568, 513, 5484, 24674, 540, 4065, 454, 291, 12801, 25963, 723, 1569, 547, 811, 6009, 1547, 1280, 20021, 540, 20277, 779, 3292, 610, 2362, 267, 519, 13864, 2557, 568, 2759, 538, 835, 28451, 563, 278, 1547, 19396, 28678, 543, 21992, 618, 454, 565, 5076, 4081, 5232, 10591, 909, 5640, 585, 513, 4876, 267, 610, 585, 3356, 1369, 741, 1699, 1899, 540, 1870, 1547, 14451, 8257, 540, 2069, 3762, 519, 7041, 543, 12492, 906, 13766, 585, 2266, 591, 538, 513, 1808, 1858, 1547, 769, 1840, 267, 1082, 7158, 2022, 3634, 513, 4110, 585, 7127, 1547, 2368, 949, 711, 1869, 1413, 693, 513, 16056, 1141, 519, 32358, 814, 1100, 1448, 563, 279, 1547, 9483, 12618, 454, 2691, 606, 3003, 2486, 568, 13473, 267, 7607, 4679, 267, 1611, 4747, 4679, 267, 543, 13864, 1295, 5809, 1547, 901, 5012, 547, 519, 22237, 2208, 543, 1526, 3599, 540, 513, 2486, 607, 513, 2898, 1547, 898, 20297, 609, 2069, 563, 295, 27941, 20677, 607, 513, 5484, 24674, 540, 4065, 454, 17829, 609, 8257, 540, 2069, 3564, 9972, 1164, 1153, 18375, 581, 2016, 547, 723, 2362, 13848, 982, 9972, 1164, 1153, 1153, 3446, 25963, 1547, 8409, 609, 1100, 9344, 2744, 519, 9803, 23269, 593, 2343, 1547, 1280, 2407, 7599, 6066, 11051, 538, 476, 1001, 278, 267, 12353, 2343, 13848, 585, 1346, 609, 1100, 1377, 729, 1269, 276, 1428, 267, 4553, 676, 1164, 1153, 1153, 20021, 693, 1269, 278, 1704, 267, 543, 1269, 272, 267, 6245, 585, 796, 3405, 3072, 812, 779, 4110, 25963, 1547, 8409, 609, 620, 4379, 639, 5232, 1500, 606, 3328, 540, 1269, 272, 267, 26493, 563, 280, 1547, 7025, 11588, 454, 20458, 1689, 568, 513, 1804, 5094, 540, 519, 6643, 2221, 267, 543, 2486, 23366, 547, 960, 8087, 569, 547, 4309, 6928, 3118, 547, 632, 31038, 1125, 1764, 593, 519, 3618, 1547, 3447, 730, 6180, 1023, 602, 1102, 1460, 519, 960, 3196, 786, 2322, 741, 17133, 540, 7099, 1689, 883, 2486, 4507, 267, 5718, 547, 2799, 6940, 563, 1015, 1547, 5081, 13926, 11588, 454, 288, 2486, 602, 568, 1134, 13473, 7959, 513, 2362, 2366, 3050, 540, 476, 272, 543, 3972, 3330, 519, 10821, 1858, 1547, 3447, 730, 7239, 3142, 909, 909, 519, 1216, 344, 543, 2244, 513, 4743, 540, 1927, 1145, 1851, 782, 2694, 563, 23220, 4925, 25734, 543, 25085, 618, 454, 19733, 2488, 3025, 609, 513, 7504, 2631, 540, 2278, 5314, 282, 519, 19406, 602, 789, 723, 519, 4781, 547, 1689, 741, 1378, 1272, 543, 2824, 741, 1259, 1547, 6468, 609, 606, 2069, 723, 1732, 8990, 1818, 7207, 543, 616, 27205, 28114, 811, 2693, 547, 3398, 5279, 540, 741, 1378, 2729, 563, 23220, 4925, 6153, 22893, 1222, 543, 595, 15960, 12833, 9876, 618, 454, 17829, 609, 606, 8257, 540, 2069, 4043, 547, 581, 28114, 811, 26256, 714, 656, 540, 6908, 2797, 2152, 267, 543, 616, 27205, 28114, 811, 2693, 547, 28056, 2490, 719, 1547, 14451, 1377, 25963, 616, 7466, 607, 2693, 547, 15321, 267, 543, 476, 274, 269, 276, 2053, 811, 2693, 547, 24946, 2724, 982, 9972, 1164, 18375, 620, 4379, 4926, 563, 19733, 1196, 1189, 11414, 1004, 519, 3017, 1063, 1318, 543, 4636, 267, 543, 16310, 27875, 1453, 543, 28114, 1762, 6738, 5725, 547, 2729, 540, 1866, 1547, 4197, 1318, 1688, 543, 4636, 543, 2348, 6568, 1832, 1524, 12402, 547, 3479, 1876, 22249, 752, 902, 1547, 4065, 540, 513, 2754, 1295, 5809, 2949, 2458, 1513, 268, 10502, 835, 29757, 2333, 540, 3328, 2069, 8257, 5933, 540, 513, 1533, 8257, 1295, 1518, 8257, 540, 1533, 17253, 11974, 676, 476, 1556, 18336, 24965, 806, 13834, 15369, 20222, 454, 1103, 10821, 13102, 609, 1164, 3928, 540, 2069, 585, 1312, 21342, 25469, 267, 4008, 2861, 3196, 568, 1244, 816, 1547, 3447, 730, 1004, 616, 811, 982, 2693, 547, 7703, 856, 21342, 4008, 1612, 267, 543, 616, 27205, 28114, 811, 2693, 547, 1491, 3646, 547, 2407, 1448, 543, 2061, 4008, 2861, 610, 6469, 3196, 1547, 18877, 602, 1871, 27380, 585, 1312, 28486, 616, 1447, 538, 782, 10171, 547, 1205, 2665, 540, 22681, 4903, 19843, 593, 14799, 2828, 3506, 563, 24965, 806, 4132, 25141, 454, 294, 597, 3149, 609, 6281, 16509, 610, 2362, 2069, 616, 1726, 344, 8691, 1447, 2693, 547, 12311, 4505, 519, 2085, 540, 476, 1240, 1547, 32027, 2069, 11036, 538, 513, 2486, 1491, 883, 6589, 585, 4775, 1453, 547, 581, 2938, 607, 1004, 945, 666, 1205, 606, 8257, 540, 2069, 543, 1205, 741, 1378, 3664, 267, 2186, 540, 982, 1175, 513, 2104, 7385, 543, 3993, 563, 24965, 806, 631, 11189, 12280, 26162, 454, 300, 11189, 1163, 597, 344, 3928, 24609, 3648, 538, 25778, 2471, 609, 1164, 2069, 8257, 3928, 1547, 6468, 609, 1100, 2069, 8257, 693, 782, 616, 476, 273, 269, 278, 2053, 607, 2693, 547, 5884, 1282, 4332, 607, 4807, 3125, 338, 609, 476, 1321, 2395, 540, 2866, 1547, 6468, 609, 835, 547, 3670, 2025, 2085, 540, 3450, 616, 7466, 607, 2693, 547, 7985, 15366, 9019, 1547, 901, 568, 1317, 13473, 11299, 616, 811, 2693, 547, 946, 1072, 2533, 267, 1256, 856, 538, 1970, 14227, 5468, 1547, 19768, 540, 1705, 716, 923, 568, 16310, 513, 2566, 528, 585, 4023, 28486, 1282, 1126, 321, 8960, 1547, 634, 811, 21500, 513, 7738, 4807, 814, 1282, 6379, 267, 519, 2362, 519, 10171, 585, 2942, 1267, 1218, 563, 19119, 540, 14451, 4065, 454, 272, 1547, 19396, 19369, 454, 5278, 1004, 26256, 1125, 4010, 1018, 789, 1616, 547, 798, 2899, 789, 4283, 519, 960, 3196, 267, 543, 610, 865, 1004, 949, 3747, 2362, 8257, 540, 2069, 547, 1205, 547, 1141, 789, 8404, 547, 581, 1547, 589, 2852, 4110, 568, 513, 25471, 32563, 585, 513, 3395, 26246, 540, 23909, 1547, 4634, 952, 596, 5749, 1406, 1978, 1018, 596, 1616, 547, 798, 1310, 22692, 267, 621, 568, 513, 1390, 4324, 547, 979, 547, 2852, 1547, 14451, 2069, 2019, 819, 5351, 7522, 707, 1719, 1895, 543, 13217, 707, 5578, 1305, 267, 4159, 596, 4010, 1018, 596, 616, 1134, 693, 543, 1018, 2361, 596, 949, 991, 547, 4137, 563, 273, 1547, 16340, 518, 19750, 11588, 454, 21093, 513, 2362, 1705, 716, 923, 814, 930, 2182, 5991, 2216, 2640, 1932, 1547, 1879, 596, 1293, 693, 4747, 1382, 267, 519, 2963, 568, 2312, 602, 2852, 620, 4548, 1118, 1454, 811, 982, 741, 9972, 1164, 1153, 4110, 21054, 1547, 5441, 620, 4548, 13141, 710, 547, 581, 3514, 614, 607, 1134, 267, 609, 2539, 8594, 540, 2295, 2068, 267, 31007, 2509, 1434, 585, 596, 4189, 543, 3635, 267, 7296, 1447, 543, 9468, 19818, 518, 1547, 5441, 26215, 919, 11338, 4043, 547, 1995, 2362, 3928, 540, 7589, 538, 2797, 543, 2146, 12602, 267, 15321, 1143, 543, 1804, 13463, 14975, 23190, 563, 274, 1547, 9608, 4886, 454, 10743, 979, 998, 543, 998, 513, 2603, 540, 2123, 1646, 538, 2852, 1547, 12085, 971, 607, 2565, 6497, 566, 1983, 267, 942, 2359, 267, 829, 13367, 566, 267, 2792, 267, 543, 6881, 9443, 616, 782, 1390, 7221, 711, 3274, 585, 1985, 960, 855, 585, 2123, 1272, 607, 1134, 1547, 5441, 620, 4548, 1205, 20991, 538, 1272, 267, 711, 3274, 1317, 540, 519, 4110, 789, 4076, 12236, 267, 855, 519, 2833, 789, 4682, 998, 563, 275, 1547, 623, 2720, 5224, 513, 32425, 543, 2677, 1600, 12197, 454, 303, 2720, 5224, 707, 30270, 538, 519, 3337, 540, 513, 2852, 4081, 4110, 568, 519, 2619, 602, 1472, 1004, 4125, 543, 972, 568, 979, 846, 4212, 4636, 609, 602, 1547, 1403, 596, 5963, 798, 621, 2575, 267, 533, 1681, 936, 4915, 267, 1287, 1265, 513, 1259, 547, 1118, 513, 4876, 856, 540, 621, 1547, 5441, 786, 948, 596, 1205, 513, 4514, 543, 28114, 811, 5376, 6776, 1620, 540, 707, 6612, 543, 786, 849, 8118, 707, 4064, 547, 2009, 4876, 10092, 543, 23003, 563, 276, 1547, 15465, 543, 9442, 10341, 454, 31955, 14046, 1004, 1353, 2182, 543, 789, 1353, 540, 1777, 1307, 1547, 1358, 616, 6026, 547, 1589, 4244, 569, 543, 21176, 547, 4137, 856, 513, 2816, 1547, 1306, 513, 1267, 267, 2852, 1433, 5443, 12235, 519, 1164, 5042, 1379, 1547, 20043, 540, 339, 3747, 6310, 1895, 960, 543, 14245, 267, 4611, 538, 1732, 14375, 2792, 9443, 585, 620, 4379, 4926, 563, 277, 1547, 4317, 23800, 454, 10673, 11313, 339, 7340, 602, 2852, 3884, 1406, 782, 4974, 1547, 634, 29872, 1734, 596, 1205, 1282, 2852, 786, 581, 519, 2828, 596, 3638, 1268, 585, 1272, 1547, 1358, 666, 11338, 957, 607, 513, 1514, 2121, 267, 17666, 596, 909, 950, 596, 616, 20158, 543, 8716, 596, 547, 798, 707, 547, 3899, 538, 707, 12116, 267, 707, 3924, 267, 543, 538, 707, 1272, 1547, 4804, 547, 2661, 609, 1866, 543, 960, 20354, 609, 1866, 10597, 707, 1514, 1983, 607, 1134, 563, 30342, 2318, 7790, 1703, 616, 865, 1454, 811, 982, 18923, 891, 12434, 540, 8257, 540, 2069, 649 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 269, 29249, 16707, 476, 4391, 273, 267, 476, 7367, 630, 1220, 275, 1916, 3682, 14620, 1470, 267, 589, 269, 631, 1421, 681, 10216, 267, 674, 269, 1299, 2098, 8643, 267, 589, 269, 1879, 11409, 798, 711, 11604, 519, 8665, 781, 15752, 281, 11557, 3604, 538, 8849, 8193, 540, 3804, 30928, 3527, 269, 11671, 17595, 860, 807, 476, 4366, 267, 476, 13970, 275, 1700, 16409, 274, 630, 1001, 271, 1916, 298, 583, 553, 267, 631, 1421, 11709, 8891, 1084, 267, 595, 269, 1299, 918, 1663, 2658, 267, 681, 269, 5369, 565, 3907, 2524, 5082, 337, 1881, 4083, 269, 1547, 1103, 18361, 540, 2618, 565, 3907, 2524, 267, 3004, 343, 2401, 631, 267, 15168, 985, 321, 12329, 631, 630, 32295, 1040, 630, 1220, 279, 1916, 295, 6210, 677, 267, 623, 1421, 670, 12245, 267, 700, 1421, 645, 770, 807, 753, 523, 267, 631, 269, 1299, 22642, 5459, 267, 918, 269, 631, 269, 16949, 540, 2262, 2495, 543, 1158, 1702, 538, 1893, 8223, 269, 3163, 476, 19054, 267, 476, 275, 4343, 1700, 4510, 272, 630, 1220, 275, 1916, 301, 5271, 4068, 267, 670, 269, 808, 1421, 24759, 267, 667, 269, 700, 269, 1299, 4521, 5459, 267, 667, 269, 590, 269, 26271, 908, 1893, 281, 7756, 8849, 1016, 17882, 338, 609, 1114, 6213, 5712, 269, 24583, 13887, 23634, 1410, 476, 273, 267, 476, 28192, 1700, 28670, 630, 1960, 273, 1916, 293, 20482, 926, 267, 623, 269, 674, 1421, 11829, 3150, 267, 966, 1421, 681, 11170, 565, 3430, 328, 267, 717, 269, 1299, 674, 690, 817, 328, 267, 700, 269, 19257, 2928, 11409, 14775, 547, 519, 8343, 540, 3824, 24304, 543, 32705, 5023, 3527, 538, 519, 24564, 5887, 1537, 6566, 19318, 16794, 269, 20195, 808, 11671, 338, 857, 476, 1704, 267, 476, 10204, 274, 1700, 14378, 275, 630, 1220, 274, 1916, 288, 2692, 527, 714, 267, 674, 269, 1299, 25661, 383, 490, 320, 267, 966, 269, 681, 269, 634, 12105, 5169, 540, 519, 1893, 2127, 538, 519, 1480, 2634, 269, 589, 5778, 534, 520, 13929, 5133, 269, 11020, 3194, 17352, 476, 1839, 267, 476, 4343, 272, 630, 1960, 278, 1916, 6635, 321, 756, 267, 631, 269, 631, 269, 3245, 9787, 547, 1893, 281, 21150, 617, 1221, 2035, 543, 519, 4161, 540, 27727, 269, 4750, 540, 25665, 6261, 30213, 476, 9083, 267, 476, 275, 1700, 736, 630, 1220, 279, 1916, 298, 574, 267, 962, 269, 570, 1421, 1530, 334, 267, 808, 269, 670, 1421, 14576, 267, 670, 269, 808, 1421, 962, 5622, 267, 667, 269, 590, 1421, 10557, 267, 670, 269, 808, 1421, 10557, 267, 808, 1421, 10557, 267, 717, 1421, 32765, 517, 267, 661, 1421, 13690, 267, 808, 269, 717, 269, 1299, 26284, 267, 962, 269, 22532, 31426, 1644, 547, 2962, 8343, 538, 4274, 818, 7129, 269, 20409, 11020, 1763, 476, 23417, 267, 476, 31079, 1700, 31003, 630, 1001, 272, 1916, 4537, 574, 3385, 267, 590, 269, 3525, 1637, 540, 16359, 9351, 11314, 676, 519, 4934, 2492, 585, 513, 26761, 1282, 9866, 3569, 540, 513, 28473, 10794, 269, 12813, 24382, 21450, 476, 4366, 263, 1556, 1070, 552, 3199, 274, 275, 630, 1220, 280, 1916, 10468, 30977, 267, 631, 269, 674, 1421, 15011, 3139, 267, 570, 269, 715, 269, 1299, 5576, 933, 514, 31000, 267, 590, 269, 681, 269, 8131, 543, 1843, 17683, 896, 829, 24632, 4452, 281, 661, 14641, 2963, 269, 11671, 15862, 476, 7918, 267, 476, 23714, 272, 630, 1001, 272, 1916, 10267, 978, 267, 623, 269, 808, 269, 1299, 623, 2967, 267, 631, 269, 595, 269, 19837, 27937, 1063, 6284, 540, 5432, 10207, 543, 540, 8188, 538, 2550, 609, 1360, 7646, 12216, 2068, 281, 1323, 2680, 5829, 1761, 1353, 269, 11916, 11671, 31850, 5735, 476, 13199, 267, 476, 14681, 280, 630, 1001, 271, 1916, 19913, 933, 514, 31000, 267, 590, 269, 681, 1421, 918, 31348, 10458, 267, 808, 269, 681, 269, 631, 1421, 5651, 3430, 328, 267, 590, 1421, 3223, 559, 267, 589, 269, 1299, 8738, 2023, 267, 589, 269, 631, 269, 11020, 6114, 547, 10221, 1431, 540, 1480, 543, 3662, 8188, 267, 30141, 8188, 543, 3615, 281, 1323, 631, 9680, 1353, 269, 11020, 3194, 476, 14093, 275, 267, 476, 26297, 630, 1220, 278, 1916, 21589, 2471, 328, 267, 595, 1421, 7137, 331, 1075, 14024, 267, 717, 269, 1299, 3397, 2993, 582, 328, 267, 590, 269, 631, 269, 25080, 29918, 1637, 540, 6987, 2858, 686, 622, 10610, 9351, 6764, 4202, 10439, 14409, 540, 6348, 325, 18432, 10610, 20668, 269, 7351, 10334, 476, 1691, 267, 476, 22659, 271, 1700, 22659, 275, 630, 1220, 275, 1916, 19913, 8705, 345, 331, 846, 267, 681, 269, 674, 1421, 22823, 267, 595, 269, 594, 269, 1299, 20855, 342, 8718, 267, 715, 269, 9484, 26147, 8131, 543, 10610, 8564, 2032, 593, 519, 674, 639, 6134, 21859, 6350, 269, 808, 11671, 338, 857, 476, 1839, 267, 476, 8099, 4649, 1700, 8099, 6795, 630, 1220, 276, 1916, 296, 659, 984, 18223, 267, 631, 1421, 24230, 7288, 267, 700, 269, 631, 1421, 5696, 817, 267, 631, 1421, 645, 2131, 330, 1359, 267, 670, 1421, 28418, 267, 681, 269, 623, 1421, 667, 4209, 879, 267, 631, 269, 595, 1421, 631, 9579, 328, 27198, 267, 808, 269, 595, 1421, 681, 11170, 565, 3430, 328, 267, 717, 269, 1696, 620, 269, 1234, 3530, 5166, 12215, 540, 708, 18469, 3527, 538, 519, 1318, 9120, 13796, 16794, 269, 623, 2793, 306, 476, 7176, 267, 476, 16928, 4817, 1700, 16928, 4200, 630, 1220, 272, 1916, 290, 3430, 2033, 334, 267, 700, 1421, 9995, 337, 7236, 267, 631, 269, 1299, 5576, 8705, 345, 22138, 267, 808, 269, 3557, 5937, 8817, 570, 5960, 32672, 1023, 513, 28762, 1105, 673, 23830, 540, 9866, 5703, 20450, 538, 519, 7843, 1602, 531, 267, 623, 926, 13926, 543, 20031, 19318, 23634, 1182, 269, 24583, 13887, 23634, 1410, 476, 736, 267, 476, 18597, 273, 1700, 18597, 279, 630, 1001, 271, 1916, 294, 18115, 4149, 1051, 528, 267, 918, 1421, 12928, 537, 325, 267, 715, 269, 1299, 20855, 342, 8718, 267, 715, 269, 634, 535, 639, 6134, 3068, 1858, 7449, 12883, 3068, 8226, 267, 711, 13598, 1369, 2275, 14394, 8446, 269, 14844, 11671, 338, 857, 476, 278, 267, 476, 27898, 1700, 6321, 273, 630, 1220, 275, 1916, 298, 9545, 6308, 267, 667, 269, 808, 1421, 623, 1263, 267, 595, 269, 590, 269, 1299, 22823, 267, 595, 269, 594, 269, 7464, 28131, 26657, 11724, 725, 538, 4400, 30071, 767, 10439, 23634, 1410, 281, 898, 781, 519, 28805, 2859, 20537, 519, 23089, 269, 808, 11671, 338, 857, 476, 4029, 267, 476, 278, 3953, 273, 1700, 278, 3451, 274, 630, 1001, 272, 1916, 300, 29141, 267, 661, 269, 594, 1421, 918, 1886, 742, 267, 661, 269, 1299, 17018, 518, 267, 631, 269, 645, 269, 9255, 19204, 267, 25373, 19204, 543, 519, 11020, 781, 32085, 23830, 3590, 269, 16316, 4860, 11671, 338, 857, 476, 4029, 267, 476, 7597, 1700, 8660, 630, 1220, 279, 1916, 290, 3430, 2033, 334, 267, 700, 269, 1299, 681, 11170, 565, 3430, 328, 267, 717, 269, 634, 19257, 2928, 3026, 584, 517, 3590, 269, 5246, 3026, 340, 1503, 476, 5780, 267, 476, 4649, 278, 1700, 28794, 630, 1220, 280, 1916, 31568, 267, 589, 1421, 4789, 518, 267, 2098, 269, 589, 269, 1299, 24261, 267, 808, 269, 623, 269, 4427, 322, 677, 673, 7418, 547, 2500, 14479, 538, 2634, 5121, 5885, 32649, 269, 11671, 17595, 860, 807, 476, 5392, 267, 476, 3607, 279, 280, 1700, 3607, 280, 279, 630, 1001, 272, 1916, 7079, 590, 2151, 267, 670, 269, 570, 1421, 9370, 267, 681, 269, 645, 1421, 2051, 525, 267, 631, 269, 717, 269, 670, 269, 1299, 645, 2131, 330, 1359, 267, 670, 269, 3525, 1637, 540, 2534, 538, 31443, 28882, 543, 5179, 9729, 1182, 1282, 5470, 8343, 269, 14844, 11671, 338, 857, 476, 278, 267, 476, 276, 5392, 630, 1220, 275, 1916, 298, 4141, 548, 342, 6359, 333, 267, 570, 1421, 8709, 590, 2151, 267, 670, 269, 570, 1421, 645, 2131, 330, 1359, 267, 670, 1421, 744, 739, 523, 557, 671, 267, 681, 269, 1299, 808, 27255, 267, 744, 269, 16359, 2275, 677, 673, 12498, 14251, 725, 616, 1110, 4327, 676, 2953, 1145, 540, 4767, 2962, 269, 11671, 15862, 476, 2412, 267, 476, 278, 6858, 630, 1220, 279, 1916, 22349, 2378, 773, 341, 267, 590, 269, 966, 1421, 26304, 267, 595, 269, 631, 1421, 1744, 592, 2006, 267, 717, 269, 700, 269, 1299, 4856, 321, 24297, 267, 631, 269, 6987, 2858, 686, 622, 1560, 1858, 538, 1480, 1624, 760, 1388, 16794, 20781, 547, 519, 2773, 540, 5179, 3527, 269, 14844, 11671, 338, 857, 476, 278, 267, 476, 276, 5655, 630, 1220, 275, 1916, 303, 1112, 517, 267, 570, 269, 654, 1421, 28564, 514, 267, 590, 1421, 19161, 267, 623, 1421, 5213, 24739, 267, 661, 1421, 670, 11035, 731, 267, 590, 269, 589, 1421, 9652, 267, 681, 1421, 12789, 267, 16019, 267, 717, 269, 589, 1421, 681, 7867, 267, 654, 1421, 681, 1276, 7219, 267, 667, 269, 590, 1421, 681, 10212, 267, 631, 269, 667, 269, 1299, 13177, 267, 631, 269, 808, 269, 13832, 585, 1210, 1480, 2680, 5829, 30372, 547, 1353, 17133, 281, 5589, 1800, 4441, 543, 8313, 7355, 269, 5369, 30986, 476, 4391, 267, 476, 14096, 630, 1220, 271, 1916, 21595, 1067, 334, 4149, 11217, 267, 661, 1421, 26541, 534, 267, 918, 1421, 16874, 600, 22385, 330, 267, 966, 269, 1299, 570, 817, 267, 623, 269, 589, 269, 2220, 299, 3036, 4953, 288, 281, 513, 3209, 1935, 547, 7347, 2707, 31338, 543, 15222, 1436, 29821, 269, 8212, 538, 4915, 543, 7350, 476, 7367, 267, 476, 9965, 274, 1700, 5197, 271, 630, 1220, 278, 1916, 763, 4589, 616, 1360, 18507, 547, 12658, 518, 3821, 681, 10216, 585, 1200, 948, 538, 16565, 519, 661, 9680, 1239, 269, 1284, 16416, 2685, 11760, 2883, 1489, 689, 2160, 540, 6660, 8457, 5174, 545, 665, 8619, 630, 1001, 271, 674, 2752, 7482, 1040, 8121, 729, 6462, 538, 851, 676, 968, 291, 1774, 13284, 2075, 1807, 328, 27535, 674, 10345, 267, 3204, 7748, 700, 4861, 731, 807, 7616, 563, 763, 4589, 17551, 1100, 12721, 2883, 4690, 563, 10666, 713, 2376, 454, 29241, 713, 2376, 454, 3682, 14620, 1470, 267, 589, 1421, 15867, 26152, 267, 715, 1421, 2494, 15728, 328, 267, 631, 269, 1696, 620, 269, 5808, 2115, 513, 22275, 324, 286, 1215, 11234, 14912, 3527, 616, 8850, 9571, 676, 14912, 5716, 262, 2634, 269, 2233, 3115, 476, 273, 267, 476, 6434, 274, 630, 1001, 273, 1040, 4179, 2517, 8742, 3820, 270, 1015, 269, 9818, 279, 4882, 10517, 25484, 10695, 454, 2710, 532, 621, 654, 3994, 281, 589, 3590, 1738, 5623, 593, 5082, 10635, 677, 673, 543, 19884, 4856, 7758, 919, 540, 18438, 16424, 538, 14904, 609, 27096, 673, 15136, 454, 293, 3224, 4536, 538, 5274, 29249, 630, 1708, 271, 994, 22711, 540, 15465, 29249, 630, 1708, 271, 994, 22711, 540, 8212, 281, 10985, 10022, 630, 1708, 271, 994, 26199, 18614, 630, 1001, 280, 264, 0, 2026, 595, 1117, 323, 541, 22842, 5039, 531, 2021, 1282, 519, 3923, 540, 4728, 267, 649, 2811, 2921, 513, 2034, 547, 5031, 513, 1906, 13009, 4565, 1794, 619, 945, 723, 5280, 3337, 519, 1158, 649, 2661, 538, 269, 1452, 2021, 723, 1185, 513, 1713, 1764, 593, 519, 6575, 538, 3013, 8160, 7596, 21862, 839, 25538, 1676, 454, 29820, 538, 476, 6942, 278, 538, 10370, 517, 6019, 267, 17857, 267, 631, 7596, 21862, 839, 25538, 1676, 568, 4922, 1634, 607, 519, 1101, 4807, 31024, 7376, 538, 519, 772, 2529, 269, 25538, 1676, 8678, 1896, 10707, 2235, 4926, 543, 1558, 1200, 9393, 267, 717, 639, 25538, 1676, 2059, 519, 11878, 563, 5475, 1373, 679, 600, 1819, 676, 1010, 2407, 23073, 21003, 657, 267, 1352, 18617, 717, 639, 547, 4001, 1200, 875, 547, 1305, 13504, 547, 2960, 269, 2701, 5555, 2968, 513, 4487, 693, 519, 1688, 1093, 651, 4480, 543, 729, 1767, 547, 581, 835, 540, 519, 2063, 1634, 1977, 31024, 5159, 547, 3136, 519, 1148, 1510, 513, 31024, 7784, 563, 29310, 267, 519, 654, 1725, 619, 616, 20295, 609, 8744, 21003, 21749, 547, 1647, 3013, 689, 922, 8129, 593, 519, 4683, 5032, 338, 563, 313, 527, 330, 8403, 8584, 729, 4535, 538, 476, 6942, 277, 267, 513, 4759, 540, 519, 962, 23975, 21241, 13961, 26919, 14316, 269, 2991, 1373, 585, 322, 4601, 3144, 689, 519, 962, 23975, 30063, 538, 3162, 21241, 547, 581, 6026, 538, 1977, 3506, 267, 1352, 4121, 3043, 3013, 1185, 9247, 1100, 1483, 1702, 827, 6805, 1004, 543, 1352, 1305, 856, 547, 1305, 519, 2594, 2786, 563, 9515, 3459, 1603, 2123, 2984, 543, 6394, 2984 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 798, 1682, 1485, 4266, 267, 18627, 538, 19279, 476, 2641, 281, 1839, 547, 476, 2918, 2303, 602, 930, 2487, 4191, 267, 971, 607, 519, 2698, 3859, 24256, 543, 23587, 29542, 267, 2823, 754, 547, 519, 3284, 5914, 2988, 572, 563, 3719, 547, 581, 2312, 267, 2725, 1228, 3884, 1405, 6031, 519, 1158, 786, 1439, 607, 538, 21933, 3438, 730, 547, 4773, 269, 5502, 267, 646, 3081, 267, 519, 28897, 538, 519, 3883, 540, 31694, 786, 2049, 593, 20029, 269, 476, 2537, 267, 4929, 513, 3126, 540, 21472, 2621, 602, 786, 12701, 856, 936, 1896, 4374, 563, 10454, 1158, 568, 711, 10678, 267, 855, 519, 1158, 607, 649, 917, 621, 568, 10678, 2437, 646, 1767, 267, 607, 6115, 5403, 5359, 269, 1261, 8591, 267, 834, 288, 2101, 851, 540, 519, 1158, 786, 711, 581, 519, 1482, 519, 4098, 540, 5239, 4799, 9288, 1228, 781, 12605, 814, 1044, 25323, 676, 8331, 3744, 607, 513, 11876, 1314, 538, 1840, 547, 3909, 14789, 269, 3798, 853, 564, 10045, 267, 513, 2250, 528, 543, 10324, 8689, 540, 5453, 26293, 5441, 781, 25381, 24023, 4741, 267, 15861, 602, 1247, 2338, 3180, 4644, 538, 519, 2796, 540, 519, 6426, 267, 789, 1590, 333, 1405, 581, 1031, 547, 3589, 519, 3047, 781, 1439, 563, 257, 12640, 6866, 2576, 6645, 596, 789, 723, 1336, 513, 5728, 1297, 3009, 538, 519, 6426, 267, 1439, 519, 6643, 2437, 646, 5206, 563, 1432, 1772, 901, 1412, 23945, 564, 2473, 262, 888, 9288, 1228, 814, 3710, 1010, 3069, 593, 14136, 2473, 267, 849, 1634, 607, 519, 27069, 715, 756, 597, 340, 267, 799, 646, 11099, 786, 1780, 3047, 593, 20029, 269, 476, 2537, 267, 4929, 15027, 26706, 267, 20016, 600, 529, 267, 543, 16767, 267, 607, 634, 6129, 5359, 563, 22498, 814, 3181, 6064, 539, 14136, 2473, 14578, 267, 6031, 621, 781, 8806, 513, 11876, 1314, 267, 855, 972, 941, 930, 4609, 602, 2899, 10645, 8331, 568, 519, 835, 4758, 856, 519, 9963, 3823, 715, 756, 597, 340, 269, 10965, 8554, 814, 2094, 3181, 6064, 539, 713, 607, 16995, 3377, 563, 23945, 564, 2473, 267, 585, 1346, 945, 1810, 1405, 917, 267, 568, 519, 2012, 8331, 3947, 547, 2009, 2230, 3615, 602, 723, 711, 1044, 1336, 269, 32624, 267, 585, 3236, 267, 814, 2899, 1044, 1572, 607, 971, 1354, 5555, 1373, 4362, 543, 26948, 1310, 519, 5601, 540, 519, 896, 16447, 563, 2252, 519, 1158, 568, 1869, 1934, 593, 20029, 269, 476, 2537, 267, 621, 786, 723, 15068, 1614, 3284, 30575, 1186, 525, 547, 4266, 2443, 519, 824, 1079, 941, 538, 476, 1220, 274, 543, 476, 1001, 273, 563, 8489, 616, 596, 2469, 547, 581, 950, 519, 1158, 7475, 286, 14675, 1055, 538, 519, 8292, 3296, 2630, 256, 0, 763, 4681, 540, 519, 4102, 2479, 1353, 593, 519, 1480, 11646, 814, 7000, 519, 16999, 2963, 585, 519, 4719, 4493, 540, 8377, 269, 589, 2319, 540, 3173, 693, 519, 3486, 18726, 27148, 540, 19848, 6248, 3004, 1080, 3117, 24832, 723, 21845, 4719, 5439, 5833, 689, 936, 476, 4968, 267, 1822, 2043, 543, 1336, 602, 936, 476, 9610, 6753, 2066, 519, 3003, 11646, 1223, 1404, 513, 1909, 538, 8377, 7592, 563, 1607, 4440, 6941, 1946, 930, 1004, 616, 811, 2693, 547, 581, 4299, 676, 8377, 543, 1039, 3063, 2597, 267, 1247, 1866, 798, 711, 269, 1452, 4681, 723, 3370, 538, 519, 1106, 540, 476, 273, 4574, 538, 519, 4760, 7186, 267, 1141, 835, 1353, 5059, 593, 519, 4719, 4493, 540, 1141, 4010, 519, 3170, 568, 6740, 538, 519, 1560, 563, 14071, 991, 547, 917, 891, 4719, 6753, 1317, 1114, 3170, 12074, 10460, 1114, 1072, 4220, 2223, 3081, 9972, 2278, 27239, 15011, 331, 651, 267, 513, 7548, 540, 11976, 693, 519, 2160, 540, 3345, 10491, 3427, 540, 6925, 563, 2005, 568, 1134, 1634, 602, 2043, 609, 811, 3170, 1472, 519, 17737, 616, 811, 2693, 547, 581, 4299, 676, 1072, 4145, 971, 607, 3987, 543, 9025, 2068, 269, 3767, 267, 519, 3173, 723, 1336, 476, 1789, 1007, 4525, 593, 519, 11646, 602, 1223, 3313, 519, 3892, 540, 3170, 538, 519, 1560, 563, 763, 2034, 1353, 5059, 593, 519, 7681, 1063, 1560, 2527, 4994, 543, 6090, 267, 543, 1336, 602, 476, 1911, 6753, 593, 519, 3003, 11646, 1223, 581, 5532, 547, 621, 267, 543, 538, 2490, 267, 789, 1223, 581, 5532, 547, 2188, 971, 607, 14031, 543, 1648, 946, 563, 1432, 779, 9670, 568, 519, 1249, 602, 1082, 540, 891, 4719, 6753, 602, 941, 5532, 547, 8377, 941, 849, 5532, 547, 519, 8401, 1062, 563, 2108, 2791, 1810, 1406, 979, 547, 707, 11719, 626, 547, 1865, 707, 2597, 2443, 950, 649, 1589, 827, 8377, 649, 1810, 1406, 3622, 1589, 540, 519, 8401, 1062, 563, 2108, 3719, 713, 2242, 519, 1259, 649, 1589, 827, 8377, 2443, 2864, 982, 1175, 513, 10894, 2783, 5310, 621, 814, 513, 14715, 4493, 1932, 2223, 1352, 3081, 563, 763, 1249, 602, 972, 616, 1896, 4719, 4525, 12018, 8377, 3274, 1797, 602, 972, 779, 513, 2603, 547, 798, 543, 1174, 538, 519, 1184, 540, 1565, 875, 1004, 2744, 2597, 563, 2108, 5978, 960, 5693, 2982, 602, 32739, 547, 8377, 543, 2799, 19483, 568, 711, 1813, 547, 513, 2582, 5444, 610, 4719, 1689, 563, 10527, 1804, 1297, 540, 6090, 2306, 621, 1447, 2693, 602, 835, 3070, 547, 10726, 8377, 786, 960, 585, 3025, 267, 543, 10741, 519, 7450, 547, 2009, 2081, 649, 1223, 946, 4719, 10881, 547, 948, 14710, 8377, 2223, 1352, 3081, 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 ]
[ 16192, 264, 952, 4819, 2639, 1038, 2132, 20735, 454, 672, 692, 7531, 18411, 1952, 25209, 281, 667, 12396, 454, 11742, 281, 744, 18217, 1070, 1141, 715, 568, 519, 1297, 540, 9136, 563, 22129, 281, 744, 263, 1911, 876, 264, 610, 744, 263, 295, 1070, 1141, 649, 1832, 2040, 585, 1169, 1377, 543, 670, 568, 519, 4463, 540, 519, 3529, 780, 2791, 616, 1934, 2336, 7312, 678, 29025, 20054, 476, 4097, 269, 1428, 4939, 540, 9226, 22347, 3827, 563, 2791, 616, 1934, 2336, 7312, 3965, 6165, 20054, 476, 10844, 269, 3445, 4939, 540, 9226, 22347, 3827, 563, 18257, 692, 258, 9502, 585, 513, 9352, 3529, 6843, 563, 258, 1362, 30741, 24998, 2187, 258, 672, 1219, 6449, 8181, 9191, 1345, 267, 1130, 284, 271, 267, 2451, 22561, 267, 1318, 22561, 2187, 258, 1363, 1582, 22183, 815, 1130, 454, 258, 1363, 1582, 16000, 815, 2451, 454, 258, 1363, 1582, 16192, 815, 1318, 454, 5035, 8827, 24998, 2187, 825, 1219, 27811, 8867, 2314, 11764, 4311, 267, 3597, 2187, 1038, 8173, 1038, 2433, 6943, 3597, 281, 30741, 454, 1038, 2433, 337, 6943, 281, 703, 454, 1038, 8173, 1038, 18304, 815, 1496, 271, 316, 2608, 630, 1911, 876, 1341, 476, 274, 994, 1038, 1582, 27982, 291, 3704, 815, 476, 271, 454, 1038, 1219, 1265, 291, 3704, 27316, 267, 3178, 2187, 2018, 1582, 27982, 291, 3704, 815, 3193, 4311, 27982, 291, 3704, 267, 3178, 994, 27030, 2018, 18304, 314, 323, 3704, 316, 6834, 6843, 22183, 454, 2018, 952, 6843, 16000, 912, 3546, 1265, 291, 3704, 27316, 16000, 267, 3178, 1341, 476, 272, 994, 2018, 952, 6843, 16192, 912, 3546, 1265, 291, 3704, 27316, 16192, 267, 3178, 1341, 476, 272, 994, 13872, 1038, 1265, 291, 3704, 20172, 267, 476, 272, 994, 1038, 2132, 18304, 314, 1345, 27982, 291, 3704, 6540, 19638, 0, 18411, 5379, 1315, 476, 5379, 476, 14748, 20881, 504, 13213, 485, 418, 369, 489, 13644, 499, 17958, 28032, 489, 454, 419, 488, 370, 26233, 479, 16088, 420, 370, 483, 24731, 28793, 25426, 368, 30522, 494, 10254, 370, 454, 418, 493, 494, 11590, 353, 28793, 25426, 368, 16088, 272, 476, 26166, 421, 496, 509, 19540, 483, 454, 18411, 5035, 5384, 24961, 1384, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 8173, 1038, 19461, 1125, 707, 1239, 2497, 1934, 563, 1038, 8173, 1038, 1582, 28333, 815, 9949, 18743, 17338, 2020, 825, 1219, 1305, 4311, 267, 1883, 281, 1193, 267, 1871, 281, 1193, 267, 4626, 652, 2086, 281, 703, 264, 9847, 7183, 912, 1038, 1582, 28333, 314, 4486, 4940, 6572, 8443, 7407, 267, 4626, 652, 2086, 20285, 825, 1219, 1205, 4311, 267, 1883, 281, 1193, 267, 4626, 652, 2086, 281, 703, 264, 9847, 1193, 912, 1038, 952, 1883, 711, 538, 1582, 28333, 912, 2018, 2132, 1412, 7055, 13872, 1038, 585, 642, 267, 512, 538, 1582, 28333, 314, 4486, 6012, 15311, 910, 272, 14158, 2018, 952, 512, 10922, 4626, 652, 2086, 912, 3546, 2132, 642, 454, 1038, 2132, 15234, 19638, 258, 2659, 5384, 24961, 1843, 786, 581, 8216, 7007, 543, 1572, 607, 971, 912, 258, 1073, 329, 815, 5384, 24961, 4590, 258, 1073, 329, 15630, 31107, 267, 7407, 25722, 574, 652, 2086, 994, 258, 4164, 318, 273, 815, 1073, 329, 10947, 31107, 25722, 574, 652, 2086, 9239, 18411, 19867, 356, 27310, 17958, 28793, 16088, 29575, 20444, 267, 13127, 506, 357, 19867, 478, 20069, 5124, 274, 17276, 493, 494, 11590, 353, 18809, 16583, 375, 420, 368, 354, 29072, 1911, 269, 876, 260, 476, 7511, 17958, 16043, 371, 454, 19540, 483, 11858, 502, 418, 370, 486, 26033, 501, 16088, 7761, 15406, 267, 13127, 506, 357, 19867, 478, 20069, 5124, 274, 17276, 493, 494, 11590, 353, 18809, 16583, 375, 420, 368, 354, 29072, 277, 269, 1321, 260, 476, 7511, 17958, 16043, 371, 454, 18411, 5035, 5384, 24961, 1384, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 8173, 1038, 19461, 1125, 707, 1239, 2497, 1934, 563, 1038, 8173, 1038, 1582, 28333, 815, 9949, 18743, 17338, 2020, 825, 1219, 1305, 4311, 267, 1883, 281, 1193, 267, 1871, 281, 1193, 267, 4626, 652, 2086, 281, 703, 264, 9847, 7183, 912, 1038, 1582, 28333, 314, 4486, 4940, 6572, 8443, 7407, 267, 4626, 652, 2086, 20285, 825, 1219, 1205, 4311, 267, 1883, 281, 1193, 267, 4626, 652, 2086, 281, 703, 264, 9847, 1193, 912, 1038, 952, 1883, 711, 538, 1582, 28333, 912, 2018, 2132, 1412, 7055, 13872, 1038, 585, 1775, 538, 2039, 12759, 4311, 28333, 314, 4486, 8079, 910, 476, 272, 267, 910, 272, 267, 910, 272, 2187, 2018, 642, 267, 512, 815, 1582, 28333, 314, 4486, 6012, 328, 2639, 2018, 952, 512, 10922, 4626, 652, 2086, 912, 3546, 2132, 642, 454, 1038, 2132, 15234, 19638, 258, 2659, 5384, 24961, 1843, 786, 581, 8216, 7007, 543, 1572, 607, 971, 912, 258, 1073, 329, 815, 5384, 24961, 4590, 258, 1073, 329, 15630, 31107, 267, 7407, 25722, 574, 652, 2086, 994, 258, 4164, 318, 273, 815, 1073, 329, 10947, 31107, 25722, 574, 652, 2086, 2020, 0, 18411, 5263, 306, 692, 19867, 356, 27310, 17958, 28793, 16088, 3607, 20444, 267, 13127, 506, 357, 19867, 478, 20069, 5124, 274, 17276, 493, 494, 11590, 353, 18809, 16583, 375, 420, 368, 354, 29072, 6795, 269, 10170, 260, 476, 7511, 17958, 16043, 371, 454, 19540, 483, 11858, 502, 418, 370, 486, 26033, 501, 16088, 1691, 269, 280, 15406, 267, 13127, 506, 357, 19867, 478, 20069, 5124, 274, 17276, 493, 494, 11590, 353, 18809, 16583, 375, 420, 368, 354, 29072, 10602, 269, 5881, 260, 476, 7511, 17958, 16043, 371, 454, 20881, 504, 13213, 485, 418, 369, 489, 13644, 499, 17958, 28032, 489, 16088, 6507, 1315, 476, 6507, 454, 18411, 258, 9502, 585, 513, 9352, 3529, 6843, 563, 258, 1362, 30741, 912, 258, 672, 1219, 6449, 8181, 9191, 1345, 267, 1130, 284, 271, 267, 2451, 22561, 267, 1318, 22561, 2187, 258, 1363, 1582, 22183, 815, 1130, 454, 258, 1363, 1582, 16000, 815, 2451, 454, 258, 1363, 1582, 16192, 815, 1318, 454, 5035, 8827, 912, 825, 1219, 538, 3200, 21698, 4311, 267, 3597, 281, 30741, 264, 9847, 30741, 912, 1038, 952, 711, 3597, 912, 2018, 2132, 3597, 454, 1038, 3597, 16000, 267, 3597, 16192, 815, 3597, 16192, 267, 3597, 16000, 454, 1038, 1582, 23357, 3200, 21698, 20172, 16000, 994, 1038, 1582, 23357, 3200, 21698, 20172, 16192, 994, 1038, 2132, 3597, 692, 18411, 289, 12396, 692, 19867, 356, 27310, 17958, 28793, 16088, 4510, 20444, 267, 13127, 506, 357, 19867, 478, 20069, 5124, 274, 17276, 493, 494, 11590, 353, 18809, 16583, 375, 420, 368, 354, 29072, 1015, 269, 6924, 260, 476, 7511, 17958, 16043, 371, 454, 19540, 483, 11858, 502, 418, 370, 486, 26033, 501, 16088, 1691, 269, 279, 15406, 267, 13127, 506, 357, 19867, 478, 20069, 5124, 274, 17276, 493, 494, 11590, 353, 18809, 16583, 375, 420, 368, 354, 29072, 10037, 269, 1839, 260, 476, 7511, 17958, 16043, 371, 454, 20881, 504, 13213, 485, 418, 369, 489, 13644, 499, 17958, 28032, 489, 16088, 6507, 1315, 476, 6507, 454, 18411, 258, 9502, 585, 513, 9352, 3529, 6843, 563, 258, 1362, 30741, 912, 258, 672, 1219, 6449, 8181, 9191, 1345, 267, 1130, 284, 271, 267, 2451, 22561, 267, 1318, 22561, 2187, 258, 1363, 1582, 22183, 815, 1130, 454, 258, 1363, 1582, 16000, 815, 2451, 454, 258, 1363, 1582, 16192, 815, 1318, 454, 5035, 8827, 912, 825, 1219, 538, 3200, 21698, 4311, 267, 3597, 281, 30741, 264, 9847, 30741, 912, 1038, 7117, 815, 632, 4302, 4590, 1038, 952, 3597, 912, 2018, 7117, 6910, 20172, 994, 1038, 1247, 7117, 912, 2018, 6843, 815, 7117, 4877, 963, 1111, 4590, 2018, 6843, 16000, 267, 6843, 16192, 815, 6843, 16192, 267, 6843, 16000, 454, 2018, 585, 1126, 538, 1496, 27161, 16000, 267, 6843, 16192, 14158, 3546, 952, 1126, 912, 7386, 7117, 6910, 263, 18876, 2020, 1038, 2132, 3597, 454, 0, 18411, 5263, 306, 692, 19867, 356, 27310, 17958, 28793, 16088, 6434, 20444, 267, 13127, 506, 357, 19867, 478, 20069, 5124, 274, 17276, 493, 494, 11590, 353, 18809, 16583, 375, 420, 368, 354, 29072, 1321, 269, 9262, 260, 476, 7511, 17958, 16043, 371, 454, 19540, 483, 11858, 502, 418, 370, 486, 26033, 501, 16088, 866, 269, 272, 15406, 267, 13127, 506, 357, 19867, 478, 20069, 5124, 274, 17276, 493, 494, 11590, 353, 18809, 16583, 375, 420, 368, 354, 29072, 278, 269, 4962, 260, 476, 7511, 17958, 16043, 371, 454, 20881, 504, 13213, 485, 418, 369, 489, 13644, 499, 17958, 28032, 489, 16088, 2767, 1315, 476, 2767, 454, 18411, 258, 9502, 585, 513, 9352, 3529, 6843, 563, 258, 1362, 30741, 912, 258, 672, 1219, 6449, 8181, 9191, 1345, 267, 1535, 2187, 258, 1363, 1582, 22183, 815, 1535, 454, 258, 1363, 1582, 16000, 815, 7183, 454, 258, 1363, 1582, 16192, 815, 7183, 692, 5035, 8827, 912, 825, 1219, 9803, 13349, 2304, 6827, 528, 4311, 267, 3597, 281, 1412, 21698, 11966, 3299, 533, 281, 1412, 21698, 11966, 3299, 7117, 281, 1412, 21698, 11966, 10807, 9847, 1412, 21698, 11966, 12466, 1038, 952, 3597, 22183, 3436, 533, 22183, 543, 3597, 22183, 3436, 7117, 22183, 912, 2018, 2132, 1582, 269, 869, 652, 13349, 2304, 6827, 528, 20172, 16000, 267, 533, 267, 7117, 994, 1038, 8640, 3597, 22183, 2999, 533, 22183, 543, 3597, 22183, 2999, 7117, 22183, 912, 2018, 2132, 1582, 269, 869, 652, 13349, 2304, 6827, 528, 20172, 16192, 267, 533, 267, 7117, 994, 1038, 3116, 912, 2018, 2132, 3597, 8528, 18411, 28375, 692, 19867, 356, 27310, 17958, 28793, 16088, 10602, 20444, 267, 13127, 506, 357, 19867, 478, 20069, 5124, 274, 17276, 493, 494, 11590, 353, 18809, 16583, 375, 420, 368, 354, 29072, 5379, 269, 4962, 260, 476, 7511, 17958, 16043, 371, 454, 19540, 483, 11858, 502, 418, 370, 486, 26033, 501, 16088, 1240, 269, 280, 15406, 267, 13127, 506, 357, 19867, 478, 20069, 5124, 274, 17276, 493, 494, 11590, 353, 18809, 16583, 375, 420, 368, 354, 29072, 2420, 269, 1839, 260, 476, 7511, 17958, 16043, 371, 454, 20881, 504, 13213, 485, 418, 369, 489, 13644, 499, 17958, 28032, 489, 16088, 2767, 1315, 476, 2767, 454, 18411, 258, 9502, 585, 513, 9352, 3529, 6843, 563, 258, 1362, 30741, 912, 258, 672, 1219, 6449, 8181, 9191, 1345, 267, 1535, 2187, 258, 1363, 1582, 22183, 815, 1535, 454, 258, 1363, 1582, 16000, 815, 7183, 454, 258, 1363, 1582, 16192, 815, 7183, 692, 5035, 8827, 912, 825, 1219, 9803, 13349, 2304, 6827, 528, 4311, 267, 3597, 281, 1412, 21698, 11966, 3299, 533, 281, 1412, 21698, 11966, 3299, 7117, 281, 1412, 21698, 11966, 10807, 9847, 1412, 21698, 11966, 12466, 1038, 6843, 815, 3597, 454, 1038, 1247, 6936, 912, 2018, 952, 6843, 22183, 2999, 533, 22183, 543, 6843, 22183, 2999, 7117, 22183, 912, 3546, 6843, 815, 6843, 16192, 3097, 2018, 8640, 6843, 22183, 3436, 533, 22183, 543, 6843, 22183, 3436, 7117, 22183, 912, 3546, 6843, 815, 6843, 16000, 3097, 2018, 3116, 912, 3546, 2132, 6843, 3097, 1038, 2132, 7183, 3097, 13872, 0, 18411, 2791, 616, 1934, 2336, 7312, 678, 29025, 20054, 476, 279, 269, 876, 4939, 540, 9226, 22347, 3827, 563, 18257, 7531, 5035, 8827, 24998, 2187, 825, 1219, 13084, 27158, 307, 1077, 4311, 267, 23953, 267, 13214, 32284, 267, 13214, 318, 6921, 817, 2187, 1038, 8173, 1038, 2433, 6943, 23953, 281, 703, 454, 1038, 2433, 6943, 13214, 32284, 281, 703, 454, 1038, 2433, 6943, 13214, 318, 6921, 817, 281, 703, 454, 1038, 2433, 337, 6943, 281, 10581, 454, 1038, 8173, 1038, 875, 318, 21459, 815, 11713, 13872, 1038, 1948, 4737, 9847, 11680, 454, 1038, 1948, 519, 1297, 540, 11680, 538, 835, 4737, 568, 630, 992, 1775, 6253, 264, 1341, 476, 272, 454, 1038, 585, 4737, 538, 2039, 263, 638, 2044, 32284, 1341, 476, 272, 2187, 2018, 4737, 318, 6011, 318, 21459, 815, 11713, 2018, 11680, 815, 4737, 1341, 476, 272, 454, 2018, 952, 4737, 2652, 476, 271, 912, 3546, 4737, 318, 6011, 318, 21459, 815, 1496, 335, 10696, 2639, 3546, 875, 318, 21459, 6910, 21405, 318, 6011, 318, 21459, 994, 3546, 3136, 454, 27030, 2018, 2063, 32284, 815, 875, 318, 21459, 15631, 272, 316, 825, 1948, 875, 318, 21459, 314, 992, 910, 476, 272, 2639, 2018, 585, 7484, 538, 2039, 6262, 5725, 2187, 3546, 1007, 9078, 770, 32284, 815, 1496, 271, 316, 1341, 2063, 32284, 1341, 1496, 271, 2639, 3546, 17525, 815, 630, 2908, 9078, 770, 32284, 314, 24189, 316, 910, 476, 272, 952, 1007, 9078, 770, 32284, 314, 24189, 316, 3436, 476, 272, 3116, 476, 271, 264, 1341, 476, 630, 2908, 9078, 770, 32284, 314, 24189, 1341, 476, 272, 316, 910, 476, 272, 952, 1007, 9078, 770, 32284, 314, 24189, 1341, 476, 272, 316, 3436, 476, 272, 3116, 476, 271, 264, 3097, 3546, 4737 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 547, 519, 1650, 540, 519, 14914, 29547, 267, 5103, 519, 1249, 602, 9478, 543, 1010, 1079, 14552, 782, 1147, 16781, 1229, 593, 18703, 9335, 563, 1428, 910, 476, 4510, 1923, 6423, 782, 8292, 454, 268, 22985, 4116, 17991, 689, 7826, 1153, 1310, 2483, 268, 13787, 626, 13685, 538, 8581, 909, 676, 476, 5952, 2600, 2483, 268, 20307, 13495, 11253, 2899, 2808, 513, 22681, 2483, 268, 20307, 13495, 11253, 729, 1996, 594, 6938, 1232, 2174, 2153, 532, 563, 268, 9721, 5925, 1459, 518, 17735, 1310, 4550, 268, 3674, 571, 454, 268, 5742, 1235, 26845, 2475, 26195, 1195, 12794, 817, 685, 1289, 585, 2483, 268, 8861, 6022, 514, 568, 9494, 8285, 454, 268, 5440, 4557, 2942, 2474, 1031, 547, 4766, 9721, 2483, 268, 21035, 5182, 28792, 1635, 337, 928, 12478, 1007, 15352, 2483, 268, 17421, 2982, 9721, 4838, 2456, 1614, 1296, 2483, 2171, 1832, 32198, 519, 2053, 2250, 676, 519, 1769, 540, 519, 2486, 649, 1631, 2661, 538, 269, 1403, 649, 1223, 1689, 1018, 5949, 621, 1131, 581, 8748, 269, 1284, 991, 547, 1413, 293, 7056, 625, 607, 1134, 607, 7826, 5783, 543, 2229, 547, 16620, 585, 10363, 9772, 687, 454, 21953, 1776, 1383, 540, 3703, 2309, 1143, 543, 741, 30671, 547, 1491, 5539, 585, 5553, 540, 28112, 15967, 543, 15746, 538, 8581, 269, 10435, 2703, 2541, 305, 659, 626, 13685, 538, 8581, 909, 676, 476, 5952, 2600, 3081, 8056, 580, 7949, 7027, 454, 289, 14019, 910, 594, 14353, 594, 993, 1360, 1454, 538, 5905, 269, 5213, 1405, 7340, 594, 1869, 2661, 538, 8581, 1454, 540, 519, 1032, 269, 594, 993, 849, 3222, 602, 1346, 11082, 538, 8581, 616, 2304, 1930, 4484, 538, 2178, 20237, 540, 16851, 547, 15352, 14731, 454, 565, 913, 569, 910, 645, 6938, 309, 302, 256, 0, 289, 312, 6754, 589, 557, 454, 2690, 6850, 19945, 9455, 1949, 267, 1022, 15895, 7509, 1369, 519, 4835, 13570, 610, 26456, 602, 2306, 922, 1259, 883, 519, 2361, 568, 513, 8743, 532, 942, 10514, 1317, 621, 1223, 3132, 26688, 28198, 602, 535, 9233, 19141, 543, 14485, 267, 799, 3927, 1223, 9420, 519, 3937, 538, 2565, 3871, 269, 634, 824, 6161, 609, 28198, 568, 14809, 267, 799, 568, 1175, 607, 16160, 1317, 621, 666, 31358, 2773, 543, 2110, 523, 1587, 14438, 563, 27269, 1031, 538, 5010, 543, 4108, 3156, 267, 6850, 19945, 9455, 1949, 1419, 616, 15841, 593, 8484, 267, 21484, 641, 1562, 267, 28862, 267, 610, 16487, 693, 1164, 6173, 725, 1141, 5393, 1970, 5210, 543, 2011, 2604, 666, 2014, 28198, 1256, 609, 8766, 7509, 1459, 267, 971, 607, 602, 1336, 538, 519, 1728, 326, 14029, 8084, 15229, 1031, 547, 1711, 4835, 5547, 12545, 563, 4415, 865, 1454, 693, 7196, 267, 9755, 540, 8955, 267, 9196, 267, 8254, 267, 543, 824, 9804, 1949, 616, 5051, 8260, 908, 513, 9436, 1625, 613, 547, 530, 2590, 519, 7509, 856, 540, 11700, 17007, 543, 19659, 1354, 891, 1949, 1118, 621, 856, 547, 519, 2361, 563, 1103, 513, 9436, 1625, 613, 267, 16600, 3819, 9436, 609, 513, 632, 342, 1448, 540, 910, 3583, 5232, 17622, 568, 5189, 896, 2604, 883, 606, 26456, 610, 13570, 547, 4894, 7509, 543, 1711, 513, 1454, 5671, 518, 4835, 1604, 982, 3044, 964, 27364, 656, 666, 3035, 269, 21193, 4088, 1625, 3101, 568, 12913, 998, 20749, 2139, 1625, 3101, 1949, 610, 21139, 268, 3419, 3022, 1949, 2813, 676, 519, 1360, 8030, 8888, 519, 1587, 3294, 563, 763, 1523, 540, 513, 9436, 1625, 613, 568, 9247, 547, 834, 338, 638, 2465, 2763, 257, 519, 4835, 3334, 899, 513, 26703, 547, 4894, 1022, 15895, 11195, 610, 7509, 856, 540, 519, 1062, 543, 1287, 13021, 621, 909, 547, 1832, 519, 4835, 13570, 7509, 6954, 1282, 922, 10512, 1272, 563, 299, 268, 274, 11628, 21558, 7010, 5303, 5549, 269, 538, 2107, 1633, 334, 267, 4469, 320, 1421, 6272, 543, 3302, 999, 22795, 543, 8955, 2039, 4466, 1949, 585, 4108, 1688, 18988, 812, 268, 1636, 762, 8143, 4337, 619, 267, 1279, 24365, 13178, 1949, 267, 575, 574, 4472, 1949, 593, 812, 2740, 543, 30313, 2740, 8484, 267, 2101, 8396, 656, 17189, 8043, 267, 1507, 4323, 4739, 267, 14361, 267, 543, 4323, 26747, 829, 4593, 8554, 563, 4322, 2472, 1590, 17355, 10663, 7509, 689, 519, 8955, 13570, 609, 513, 9436, 1625, 613, 269, 634, 2754, 1625, 2471, 5111, 476, 1911, 4559, 1142, 3923, 269, 18378, 7509, 666, 2014, 14809, 543, 1860, 519, 2773, 540, 513, 8955, 563, 7197, 22795, 12268, 21871, 1164, 14617, 22795, 3146, 638, 790, 9436, 1625, 3101, 269, 1403, 519, 23541, 593, 519, 25852, 610, 519, 13310, 540, 519, 25852, 616, 12012, 538, 1022, 1259, 607, 513, 1267, 540, 2901, 12526, 610, 7509, 267, 621, 666, 13497, 1860, 922, 2773, 563, 299, 766, 2274, 743, 1515, 568, 513, 9972, 1382, 10196, 693, 595, 2255, 519, 6489, 5549, 1421, 513, 2754, 538, 932, 656, 11035, 267, 28446, 1421, 602, 10953, 8955, 2842, 8596, 602, 2268, 2842, 3432, 543, 4287, 585, 519, 2842, 1379, 2872, 269, 834, 2467, 616, 7509, 25259, 3334, 538, 891, 1949, 2437, 646, 3081, 269, 834, 12179, 28198, 666, 1711, 20893, 3101, 610, 14809, 2042, 602, 666, 1291, 547, 16349, 5821, 269, 634, 10727, 540, 519, 5057, 568, 6905, 952, 649, 1832, 621, 5665, 538, 513, 3819, 1604, 4799, 2005, 568, 513, 1455, 31605, 602, 519, 5354, 540, 519, 7509, 538, 513, 20177, 13570, 610, 26456, 568, 8659, 538, 519, 8900, 4320, 540, 2011, 269, 769, 1249, 267, 519, 5354, 540, 519, 7509, 568, 8659, 538, 519, 1728, 326, 14029, 8084, 2326, 267, 971, 607, 1455, 5547, 12545, 610, 824, 5068, 3334, 1369, 519, 26456, 563, 295, 17789, 14029, 8084, 15229, 11593, 10110, 7509, 689, 519, 5790, 543, 666, 5305, 602, 7509, 896, 2837, 15203, 543, 824, 2825, 2188, 563, 2171, 1336, 519, 4835, 11418, 941, 519, 1292, 27521, 585, 513, 2603, 540, 15895, 7509, 269, 1403, 596, 1810, 1405, 1491, 1416, 540, 602, 7509, 609, 513, 9436, 1625, 613, 267, 1282, 10917, 4783, 4152, 649, 1131, 1294, 621, 8915, 607, 11195, 543, 7509, 3330, 519, 1770, 563, 3080, 2101, 1114, 328, 1807, 538, 20749, 2139, 9436, 1625, 613, 1949, 568, 519, 3903, 1063, 2582, 15304, 543, 12242, 15304, 1625, 613, 1949, 269, 12465, 1625, 613, 1949, 616, 3335, 12242, 15304, 267, 609, 16600, 1673, 787, 9436, 10024, 998, 835, 2823, 543, 608, 1746, 856, 1776, 563, 763, 2025, 1153, 1505, 568, 547, 2196, 9436, 998, 519, 1062, 267, 2356, 693, 606, 11506, 2837, 267, 1141, 596, 2811, 9247, 3843, 547, 27106, 856, 1022, 7509, 563, 19013, 267, 1082, 12242, 1625, 3101, 1949, 3668, 1022, 1483, 1797, 540, 3067, 2305, 538, 6935, 547, 4835, 632, 342, 1448, 269, 4634, 952, 513, 632, 342, 1448, 9300, 568, 1031, 547, 22945, 519, 856, 6503, 532, 3154, 267, 621, 568, 2009, 547, 2132, 2663, 543, 3605, 513, 632, 342, 1448, 21782, 1317, 1346, 1728, 326, 14029, 8084, 2326, 1369, 519, 26456, 5950, 3606, 7509, 563, 4415, 519, 12242, 1790, 25973, 1505, 267, 594, 1185, 1100, 11050, 1259, 547, 917, 1018, 1250, 11807, 632, 342, 1448, 729, 610, 950, 594, 1185, 6913, 621, 269, 1403, 594, 1625, 3022, 513, 1770, 585, 3670, 547, 5216, 3108, 267, 594, 1185, 547, 8263, 621, 1185, 8499, 12015, 856, 519, 13570, 563, 4415, 513, 12242, 15304, 1625, 613, 1062, 1776, 1761, 3390, 568, 602, 607, 519, 3154, 8928, 998, 689, 519, 13675, 547, 14827, 267, 621, 5932, 513, 834, 577, 14128, 257, 540, 3154, 269, 1284, 6033, 1196, 323, 625, 540, 3154, 1590, 23309, 3564, 519, 1292, 2095, 2619, 547, 3914, 883, 519, 18015, 267, 1212, 341, 1182, 267, 610, 824, 22836, 543, 267, 4061, 267, 949, 711, 4625, 4894, 519, 7509, 538, 519, 4835, 2011, 610, 519, 8652, 2675, 8084, 4835, 3334, 563, 288, 2582, 15304, 9436, 1625, 3101, 1062, 267, 593, 519, 824, 1688, 267, 3091, 1896, 5383, 269, 5221, 621, 3322, 1152, 835, 14827, 270, 18782, 2823, 267, 513, 2582, 15304, 1062, 5932, 513, 2046, 28962, 1604, 585, 519, 16600, 1673, 787, 3154, 543, 2636, 585, 3067, 16666, 6482, 540, 519, 632, 342, 1448, 593, 14827, 269, 901, 1826, 540, 1062, 5526, 547, 9004, 519, 6161, 936, 4625, 15018, 856, 519, 2898, 1062, 563, 28723, 21558, 7010, 5303, 4362, 513, 2582, 15304, 1625, 613, 1062, 689, 589, 14875, 29597, 518, 6513, 338, 538, 570, 1075, 5459, 267, 589, 10961, 269, 589, 14875, 3091, 513, 3099, 540, 2472, 585, 519, 1852, 543, 5464, 540, 7509, 267, 1519, 964, 27364, 2209, 543, 11195, 10832, 269, 634, 2754, 849, 3091, 1896, 3631, 630, 1636, 762, 267, 24646, 25236, 539, 264, 540, 9436, 8476, 1625, 3101, 1949, 630, 20911, 4916, 1916, 4415, 519, 17252, 4916, 1770, 267, 3819, 3154, 630, 20200, 1227, 9436, 264, 13788, 519, 13570, 610, 26456, 998, 513, 2582, 2823, 543, 568, 2046, 28962, 547, 513, 840, 1673, 17827, 623, 10485, 1354, 513, 11896, 10741, 543, 519, 3154, 1394, 6503, 338, 1394, 883, 519, 1770, 269, 1703, 621, 10596, 513, 632, 342, 1448, 6895, 543, 10525, 519, 1699, 632, 342, 15304, 2837, 269, 634, 9436, 568, 1287, 642, 5034, 547, 519, 5790, 543, 513, 1007, 4783, 862, 1878, 269, 901, 15203, 5170, 2394, 519, 3937, 10301, 519, 2838, 632, 342, 15304, 1377, 267, 693, 799, 1448, 621, 8850, 695, 7491, 1055, 563, 763, 17252, 4916, 1062, 568, 2653, 547, 946, 269, 1411, 13622, 621, 909, 547, 513, 2582, 2823, 267, 2824, 513, 2604, 4259, 543, 5551, 3803, 632, 342, 1448, 267, 543, 950, 519, 1625, 613, 568, 6192, 267, 519, 1062, 7140, 1055, 8850, 269, 1280, 721, 267, 621, 29765, 4238, 563, 2690, 2274, 743, 1515, 540, 595, 2255, 519, 6489, 5549, 1421, 519, 2582, 15304, 1625, 613, 17252, 4916, 1185, 606, 3773, 1871, 269, 834, 2467, 781, 1152, 835, 6445, 518, 11896, 602, 2115, 547, 581, 8704, 267, 3079, 540, 1079, 269, 1411, 4688, 513, 2370, 593, 4702, 543, 2694, 3790, 269, 898, 568, 711, 513, 16854, 9494, 267, 855, 596, 849, 9004, 1776, 1761, 1448, 540, 5821, 267, 799, 568, 2141, 1434, 4799, 4415, 1697, 3067, 2305, 543, 519, 13128, 9505, 11325, 4183, 950, 519, 5551, 632, 342, 1448, 568, 6913, 267, 1312, 589, 557, 543, 2274, 743, 1515, 1867, 513, 1713, 9494, 538, 9436, 3790, 267, 607, 1134, 607, 513, 1713, 9494, 538, 942, 540, 1625, 613, 563, 4002, 513, 6093, 1770, 1210, 519, 2025, 1153, 1505, 267, 513, 9436, 1625, 613, 1131, 1491, 3670, 547, 5216, 3108, 269, 2060, 519, 17252, 4916, 1062, 267, 649, 1223, 798, 519, 1482, 1625, 613, 538, 476, 3393, 3764, 865, 3648, 1447, 12531, 540, 9436, 616, 1031, 543, 649, 917, 585, 2386, 950, 649, 616, 2944, 269, 898, 711, 1152, 10710, 2724, 267, 855, 849, 729, 513, 2101, 942, 1094, 591, 563, 19489, 27749, 5442, 19489, 7246, 3582, 3643, 589, 14875, 29597, 518, 6513, 338, 2228, 693, 8940, 269, 698, 332, 935, 1555, 518, 2593, 563, 26469, 589, 557, 568, 7022, 540, 11628, 21558, 7010, 5303, 267, 513, 6498, 540, 700, 268, 274, 18058, 269, 0, 288, 1808, 2542, 7411, 4386, 950, 513, 2875, 3112, 1451, 547, 1224, 3362, 1256, 1498, 789, 723, 1185, 1434, 24875, 269, 4107, 1453, 2253, 547, 1224, 1079, 555, 8674, 540, 741, 1259, 998, 741, 1101, 1032, 693, 1153, 630, 289, 320, 6033, 267, 476, 1960, 278, 264, 693, 8726, 2085, 621, 568, 602, 789, 2253, 1153, 563, 2252, 789, 798, 711, 2253, 547, 1224, 693, 713, 1448, 1287, 789, 786, 991, 6351, 1565, 547, 1224, 563, 10214, 952, 741, 1966, 568, 513, 3500, 30553, 519, 824, 1053, 538, 741, 1362, 786, 723, 6410, 593, 27268, 269, 1358, 786, 991, 948, 547, 6952, 909, 563, 763, 6437, 568, 2966, 547, 1450, 1256, 1053, 609, 513, 1970, 21842, 547, 1451, 547, 1224, 267, 4352, 891, 1053, 1491, 513, 2370, 3476, 982, 519, 3328, 2875, 563, 1692, 666, 513, 2542, 7411, 581, 5280, 888, 14818, 532, 585, 17391, 610, 3308, 829, 24632, 7965, 949, 1118, 519, 2601, 585, 519, 2542, 7411, 2312, 269, 769, 1931, 547, 2253, 547, 1224, 267, 3308, 8226, 543, 17391, 8226, 1058, 581, 8449, 1434, 269, 18007, 6511, 666, 798, 713, 4152, 585, 596, 563, 16498, 4152, 676, 606, 744, 20953, 332, 6048, 267, 610, 25833, 8838, 2210, 2077, 547, 2638, 593, 519, 2702, 540, 519, 4064, 547, 1294, 5693, 267, 27721, 8308, 267, 543, 3950, 12347, 568, 1271, 269, 10748, 328, 5852, 4152, 547, 2327, 602, 519, 10772, 5873, 5693, 568, 8449, 1271, 563, 2252, 519, 10772, 5873, 1134, 1287, 513, 1434, 18551, 1982, 949, 948, 950 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 942, 8884, 2838, 547, 3914, 547, 519, 5021, 12761, 693, 1318, 1189, 22221, 2053, 269, 19612, 2433, 269, 654, 5896, 281, 634, 942, 8884, 2838, 547, 3914, 547, 519, 5021, 12761, 693, 1318, 1189, 22221, 2053, 269, 8827, 2433, 269, 634, 4806, 540, 519, 1843, 19089, 2433, 780, 2791, 1522, 991, 948, 609, 713, 835, 865, 649, 3513, 798, 621, 782, 1927, 269, 901, 568, 513, 1582, 2966, 2978, 267, 543, 835, 540, 519, 1906, 2407, 2328, 22705, 538, 938, 1576, 269, 20970, 543, 28687, 1643, 2906, 476, 273, 269, 23317, 476, 274, 269, 26365, 8212, 476, 275, 780, 2691, 596, 726, 3089, 513, 13176, 5569, 267, 519, 4611, 3280, 814, 513, 11931, 3159, 543, 16569, 513, 1279, 942, 7612, 634, 5569, 5854, 919, 1472, 606, 11466, 2990, 267, 543, 835, 14251, 566, 568, 6192, 950, 519, 5569, 6238, 689, 519, 3355, 2990, 267, 12599, 547, 835, 540, 519, 3665, 7158, 267, 1287, 547, 519, 824, 3665, 2990, 267, 543, 7024, 547, 922, 3355, 2990, 269, 1284, 5581, 13350, 5163, 547, 581, 1022, 5163, 602, 28197, 3294, 693, 2834, 942, 11996, 267, 971, 607, 17820, 676, 519, 13176, 5569, 610, 676, 513, 1126, 2220, 15781, 593, 513, 18711, 269, 769, 713, 3296, 267, 649, 1353, 519, 2596, 4162, 540, 14251, 725, 543, 741, 6310, 6609, 269, 769, 519, 9000, 540, 11508, 267, 519, 942, 547, 2347, 835, 14251, 566, 3788, 3586, 543, 568, 1572, 519, 1974, 570, 269, 4706, 4559, 616, 2356, 7643, 267, 855, 949, 581, 1022, 10375, 1770, 540, 942, 269, 589, 1523, 5702, 1644, 547, 1974, 568, 519, 4908, 540, 606, 2680, 780, 1012, 1411, 991, 547, 723, 10084, 29441, 13087, 538, 1931, 547, 1569, 713, 3135, 780, 763, 5569, 5854, 919, 1472, 606, 11466, 2990, 267, 543, 835, 14251, 566, 568, 6192, 950, 519, 5569, 6238, 689, 519, 3355, 2990, 267, 12599, 547, 835, 540, 519, 3665, 7158, 267, 1287, 547, 519, 824, 3665, 2990, 267, 543, 7024, 547, 922, 3355, 2990, 269, 1284, 5581, 13350, 5163, 547, 581, 1022, 5163, 602, 28197, 3294, 693, 2834, 942, 11996, 267, 971, 607, 17820, 676, 519, 13176, 5569, 610, 676, 513, 1126, 2220, 15781, 593, 513, 18711, 269, 769, 713, 3296, 267, 649, 1353, 519, 2596, 4162, 540, 14251, 725, 543, 741, 6310, 6609, 269, 769, 519, 9000, 540, 11508, 267, 519, 942, 547, 2347, 835, 14251, 566, 3788, 3586, 543, 568, 1572, 519, 1974, 570, 269, 4706, 4559, 616, 2356, 7643, 267, 855, 949, 581, 1022, 10375, 1770, 540, 942, 780, 306, 1440, 902, 616, 513, 5929, 1383, 540, 23191, 5163, 267, 593, 9504, 596, 666, 1205, 513, 9787, 540, 519, 9238, 269, 5576, 928, 3187, 9322, 605, 1535, 331, 642, 1724, 4647, 269, 5999, 476, 275, 910, 634, 5021, 10231, 540, 513, 9325, 3001, 609, 2241, 23191, 5163, 568, 269, 16952, 10819, 281, 476, 272, 4208, 568, 2241, 23191, 5163, 865, 1455, 538, 8106, 11707, 286, 769, 519, 8545, 649, 10839, 513, 3070, 543, 6542, 602, 621, 1281, 14183, 519, 11186, 3830, 269, 634, 1761, 585, 519, 23191, 29473, 650, 1807, 568, 519, 2067, 3070, 1169, 1761, 609, 1507, 14251, 725, 693, 519, 5934, 269, 1284, 723, 2614, 2724, 2042, 543, 3435, 5473, 2241, 23191, 5163, 543, 3875, 2835, 10070, 689, 535, 11881, 547, 3621, 1382, 538, 1022, 1259, 780, 26524, 281, 476, 272, 476, 273, 476, 274, 476, 275, 476, 276, 476, 277, 476, 278, 476, 279, 476, 280, 476, 1015, 476, 1556, 476, 1321, 476, 1724, 476, 1691, 476, 1428, 8212, 11822, 15053, 4577, 18289, 10298, 269, 476, 272, 269, 589, 6567, 11899, 9325, 7575, 607, 1599, 540, 942, 607, 5205, 780, 1012, 6796, 1133, 19989, 538, 9167, 3148, 692, 21296, 14893, 609, 21450, 2953, 2626, 476, 272, 269, 634, 1974, 540, 14251, 566, 540, 513, 2241, 28764, 540, 3259, 700, 17735, 689, 519, 8122, 540, 513, 6174, 799, 7575, 1510, 11508, 1524, 606, 20916, 7077, 540, 31007, 513, 568, 2016, 676, 1496, 7436, 316, 5775, 269, 26840, 513, 4564, 519, 2953, 2626, 780, 396, 363, 18194, 3264, 13953, 13150, 8563, 7846, 19628, 10780, 3378, 15800, 4709, 13150, 31589, 7549, 30530, 4138, 267, 11012, 397, 491, 4814, 269, 476, 1109, 268, 2843, 509, 4138, 6459, 30324, 10780, 13833, 21268, 4709, 7846, 6459, 31502, 15800, 11012, 7549, 4814, 9924, 6459, 31502, 11714, 17095, 3522, 16648, 4138, 4709, 3264, 269, 2843, 498, 8563, 21268, 20500, 3522, 30935, 14359, 4138, 9261, 30935, 17153, 6459, 5284, 379, 4709, 7846, 20977, 4736, 9841, 780, 2971, 808, 7417, 6301, 8212, 11822, 15053, 4577, 18289, 19881, 5729, 5999, 609, 10298, 692, 396, 356, 3264, 6459, 13833, 3264, 7549, 267, 17095, 17095, 30324, 18775, 21134, 7846, 16068, 4709, 21660, 10528, 13077, 8563, 4138, 6459, 2843, 510, 25974, 4138, 3378, 269, 29112, 4344, 13077, 4709, 21170, 267, 10780, 19757, 7846, 9261, 3522, 6459, 16068, 4709, 267, 24893, 26580, 11012, 3264, 15671, 19757, 4709, 9326, 11714, 3264, 10948, 21268, 21134, 27188, 21833, 3264, 11714, 4344, 18775, 26281, 24893, 3264, 6459, 13833, 3264, 7549, 15800, 4709, 16021, 16417, 4736, 7846, 20046, 31502, 16044, 491, 28821, 9261, 14359, 27671, 20500, 27671, 269, 910, 1109, 396, 506, 4138, 13150, 21268, 2843, 497, 7846, 13150, 3522, 32553, 4736, 32648, 286, 1109, 268, 14359, 3264, 27188, 9686, 21268, 21833, 3522, 6459, 31502, 16068, 4344, 11012, 9261, 3264, 20732, 18547, 2843, 510, 17201, 28027, 4709, 269, 476, 1109, 268, 2843, 507, 7846, 269, 2843, 363, 16044, 483, 18775, 3378, 20732, 3378, 31128, 15671, 3378, 23970, 20265, 19628, 269, 2843, 499, 4736, 20434, 11714, 9924, 10780, 23485, 4709, 27799, 3264, 16021, 20413, 4709, 3264, 31128, 15671, 3378, 10780, 3522, 4736, 10528, 18775, 4344, 267, 476, 9326, 10780, 5284, 371, 3522, 16648, 3378, 10948, 7846, 4736, 9841, 267, 24893, 4344, 29652, 9924, 16068, 4709, 31128, 15671, 3378, 10780, 17201, 7846, 10948, 4138, 6459, 780, 396, 353, 32648, 16021, 13953, 4709, 29824, 30324, 9326, 4709, 7846, 6459, 476, 31589, 7549, 7846, 269, 2843, 495, 23485, 4709, 7549, 21268, 17153, 3378, 32553, 32553, 11012, 3378, 11012, 9261, 7846, 27569, 12811, 21162, 9261, 11714, 4138, 9686, 21134, 10780, 13833, 21268, 4709, 7846, 6459, 31502, 17095, 2843, 506, 4138, 9686, 21833, 281, 910, 1109, 396, 511, 26580, 2843, 498, 21833, 3522, 16648, 16648, 3522, 269, 2843, 508, 4709, 16044, 483, 3378, 10948, 20046, 10780, 22147, 13833, 18775, 4138, 31224, 11012, 269, 2843, 498, 4138, 16417, 7549, 4344, 18775, 20413, 20046, 4709, 7846, 6459, 21660, 14359, 3264, 3264, 21660, 13150, 18775, 5284, 370, 12811, 21162, 13953, 11714, 13194, 15671, 31124, 9686, 267, 14359, 3378, 2843, 506, 4138, 9686, 21833, 27188, 21833, 3264, 25338, 3264, 21833, 3522, 20977, 17095, 25602, 10528, 10528, 3522, 13077, 4344, 7846, 269, 2843, 508, 20265, 476, 16417, 20732, 4138, 20977, 11714, 7549, 6459, 19628, 10948, 4138, 31224, 28314, 4814, 21134, 7549, 7846, 19628, 11012, 8563, 9326, 13194, 9841, 269, 910, 1109, 396, 350, 6459, 7846, 20732, 3522, 19628, 267, 2843, 498, 21833, 3522, 16648, 16648, 3522, 269, 2843, 506, 20046, 3522, 6459, 20434, 10948, 27799, 24012, 13953, 28314, 17201, 25974, 2843, 498, 21833, 3522, 16648, 16648, 9924, 30935, 10528, 17201, 17221, 6459, 17095, 21134, 4709, 19277, 7846, 281, 910, 1109, 396, 506, 4138, 9686, 21833, 267, 476, 9326, 11714, 28314, 20977, 8563, 4709, 21134, 25338, 31606, 7549, 3264, 18194, 31606, 21162, 17153, 780, 396, 508, 20265, 11012, 476, 4344, 31589, 9686, 21134, 11012, 9686, 21268, 21833, 4138, 27593, 20977, 11012, 6459, 3264, 13194, 9924, 269, 910, 1109, 396, 350, 4344, 13077, 4344, 9261, 18775, 2507, 16068, 4709, 2507, 910, 1109, 396, 506, 9924, 23970, 20265, 27671, 267, 1109, 268, 14359, 3264, 18194, 3522, 6459, 31128, 13953, 18194, 22147, 13833, 18775, 4138, 31224, 2843, 495, 23485, 4709, 7549, 21268, 17153, 3378, 32553, 32553, 269, 476, 1109, 268, 2843, 508, 4709, 16068, 16648, 3378, 20732, 3264, 6459, 11012, 4138, 13150, 27671, 7846, 29112, 7549, 8563, 5284, 371, 9841, 11012, 4344, 4814, 26281, 269, 910, 1109, 396, 498, 3522, 2507, 15800, 2507, 910, 11012, 6459, 13833, 3522, 30935, 13150, 16417, 27593, 20434, 27188, 14359, 3264, 3264, 11714, 28314, 18775, 6459, 3264, 269, 2843, 508, 4709, 27188, 16648, 4138, 6459, 2843, 498, 397, 491, 8563, 4138, 28027, 269, 2843, 495, 23485, 4709, 7549, 21268, 17153, 3378, 32553, 32553, 10780, 17201, 5284, 370, 4138, 6459, 476, 31589, 7549, 7846, 31128, 13953, 21660, 10780, 6459, 3264, 10948, 3378, 780, 29551, 17095, 3522, 7549, 26281, 25338, 9924, 11012, 4344, 13077, 4709, 3264, 11714, 9924, 14359, 4138, 21660, 17153, 19757, 4138, 20434, 4736, 9841, 267, 11714, 3378, 11714, 4736, 3264, 17153, 27188, 10948, 16417, 21833, 9686, 23845, 9326, 17153, 18194, 3264, 13953, 13150, 8563, 7846, 20046, 16068, 9686, 21170, 15800, 476, 26580, 2843, 370, 3264, 10780, 13077, 8563, 4138, 6459, 3378, 281, 14359, 4138, 7549, 26580, 18194, 17201, 15671, 3378, 14359, 3264, 11714, 9924, 9686, 21268, 21833, 4138, 27593, 20046, 23970, 8563, 32648, 18547, 476, 16021, 6459, 3264, 32553, 32648, 4709, 22147, 3378, 25602, 10528, 10528, 3522, 13077, 25000, 269, 2843, 507, 3264, 11714, 3522, 21833, 21170, 267, 11012, 7549, 17201, 9841, 7549, 3378, 10780, 25974, 20046, 4138, 16021, 6459, 3264, 13953, 11012, 26580, 9326, 4344, 11714, 16068, 10948, 3264, 16417, 9686, 4138, 267, 1109, 268, 11012, 3264, 7549, 16417, 25000, 4814, 9841, 11714, 4736, 3264, 15671, 28027, 25338, 4814, 25974, 4138, 4344, 11714, 4736, 3264, 18194, 3264, 20977, 15800, 10780, 25974, 10528, 3264, 20732, 4138, 4344, 10780, 19757, 4709, 9326, 31224, 476, 4344, 31589, 16648, 7549, 7846, 269, 2843, 495, 3264, 7549, 7549, 21268, 16068, 4344, 16648, 4138, 6459, 16044, 486, 3264, 13150, 4138, 13194, 20265, 10948, 21162, 13953, 14359, 21134, 21268, 269, 2843, 499, 27569, 3264, 10780, 3522, 13077, 11012, 3264, 7549, 7846, 4709, 9686, 267, 15800, 31128, 15671, 3378, 11012, 3378, 29391, 4138, 17221, 20434, 11012, 25338, 17201, 9841, 17221, 10948, 21162, 9261, 16068, 32553, 25986, 21134, 780, 396, 499, 9261, 7846, 14359, 3264, 25338, 9924, 6459, 3378, 14359, 7846, 21833, 9686, 9924, 11714, 9924, 25986, 24012, 8563, 28476, 2843, 495, 3264, 7549, 7549, 3264, 13077, 11714, 476, 4344, 17201, 10528, 3264, 267, 11714, 9924, 17153, 19757, 9326, 27569, 3264, 13953, 15800, 13194, 16044, 484, 21268, 7549, 8563, 4138, 281, 2843, 370, 21268, 4344, 27593, 11714, 2843, 375, 13833, 7846, 20732, 7549, 3264, 267, 11714, 4736, 3264, 11012, 6459, 5284, 370, 4138, 6459, 25974, 9841, 21660, 476, 16417, 9686, 7549, 3378, 13150, 9841, 27188, 28027, 10948, 21170, 269, 2843, 507, 7846, 21833, 21170, 476, 4344, 17201, 9841, 7549, 3378, 11714, 9924, 16648, 13077, 31224, 20413, 21134, 12811, 4344, 267, 24893, 4344, 29652, 9924, 11012, 9686, 3264, 6459, 28476, 16044, 491, 26580, 476, 28821, 17153, 3378, 780, 3849, 1749, 267, 1109, 268, 29824, 3378, 20732, 3264, 10528, 25000, 6459, 24893, 3264, 6459, 13833, 3264, 7549, 15800, 25338, 4814, 25974, 4138, 6459, 31502, 21660, 14359, 3264, 15671, 3378, 10780, 19757, 29652, 21170, 10780, 31606, 16021, 16417, 269, 2843, 510, 3522, 13194, 28027, 6459, 31502, 11714, 9924, 13150, 16417, 6459, 267, 20413, 3264, 23783, 7549, 4709, 7846, 6459, 3378, 24893, 26580, 268, 26580, 17095, 13077, 4736, 21170, 3264, 269, 2843, 507, 3378, 16044, 491, 26580, 25338, 9924, 20977, 14359, 3264, 17095, 4814, 13833, 9841, 780, 10468, 514, 267, 1109, 268, 11012, 17201, 15671, 3522, 6459, 14359, 27671, 3264, 20500, 269, 476, 1109, 268, 2843, 363, 14359, 3264, 269, 2843, 363, 11012, 3264, 13953, 10948, 3522, 4736, 2843, 370, 3264, 16068, 4344, 10528, 13077, 8563, 6459, 19628, 31128, 3264, 18194, 21134, 26281, 269, 0, 258, 554, 342, 273, 338, 565, 910, 4569, 476, 16409, 281, 10789, 545, 10395, 13541, 923, 14581, 476, 273, 13718, 1607, 12744, 2982, 3817, 476, 272, 1700, 273, 269, 6178, 909, 547, 2070, 519, 2407, 1543, 780, 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, 4462, 8971, 1540, 1257, 12744, 281, 4569, 476, 16409, 281, 10789, 545, 10395, 13541, 923, 14581, 476, 273, 10298, 476, 272, 269, 277, 769, 1142, 851, 267, 513, 5311, 2715, 513, 562, 7684, 562, 21759, 25389, 519, 2016, 24088, 6935, 269, 4855, 519, 8723, 1379, 3126, 10451, 1599, 540, 519, 5311, 269, 630, 320, 264, 513, 562, 1341, 476, 272, 815, 476, 274, 513, 562, 1341, 476, 273, 1141, 630, 562, 21759, 476, 271, 282, 513, 815, 3738, 1547, 8827, 269, 2913, 535, 630, 1535, 3738, 815, 3980, 495, 562, 21759, 513, 562, 1535, 562, 1547, 1160, 3865, 532, 609, 519, 1505, 13890, 538, 8791, 476, 272, 269, 273, 269, 272, 649 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2367, 22867, 695, 600, 6804, 6411, 609, 2367, 543, 8391, 538, 2933, 519, 1813, 15163, 585, 741, 5470, 4799, 4913, 267, 972, 616, 849, 15102, 538, 519, 6426, 602, 11168, 2648, 267, 8296, 267, 543, 10343, 269, 1280, 1383, 267, 3627, 476, 274, 281, 1626, 2829, 267, 834, 2690, 2696, 865, 6068, 519, 1158, 267, 602, 646, 5795, 1010, 1152, 12312, 267, 602, 945, 1197, 11099, 538, 1864, 1058, 711, 829, 880, 855, 723, 18163, 1272, 1701, 6684, 267, 8895, 520, 2103, 476, 274, 281, 2764, 2829, 267, 834, 2467, 568, 9444, 4035, 6862, 5259, 267, 972, 568, 9444, 10553, 6862, 1863, 267, 972, 568, 1100, 5256, 543, 4775, 267, 585, 596, 616, 782, 835, 538, 2441, 4906, 4799, 763, 7826, 5783, 781, 4013, 18879, 593, 32270, 814, 849, 7960, 936, 942, 269, 769, 519, 2250, 267, 519, 5783, 814, 28715, 28305, 6411, 607, 5609, 995, 269, 1717, 267, 538, 2487, 1296, 267, 972, 814, 1044, 513, 3152, 8561, 593, 1620, 543, 10343, 269, 769, 476, 1001, 274, 267, 15352, 14731, 28020, 1767, 267, 834, 8005, 993, 594, 547, 9794, 8119, 950, 4280, 827, 14447, 20577, 269, 1261, 814, 849, 1572, 585, 519, 5783, 547, 581, 811, 22205, 547, 10349, 1004, 563, 4407, 519, 6426, 543, 519, 7826, 5783, 723, 1950, 543, 9687, 5784, 593, 32270, 267, 972, 568, 513, 3395, 7678, 2509, 1620, 543, 10343, 269, 901, 568, 10630, 538, 519, 2810, 1297, 540, 7826, 13039, 602, 616, 22205, 547, 10349, 1004, 269, 0, 1432, 568, 711, 10677, 762, 888, 15648, 14014, 3312, 1568, 538, 519, 2686, 543, 7499, 4610, 269, 18882, 1275, 568, 513, 2629, 3693, 585, 513, 960, 547, 581, 6870, 676, 10677, 269, 898, 1797, 602, 513, 960, 2813, 676, 835, 1268, 786, 581, 1114, 689, 513, 2147, 960, 2813, 676, 1776, 1268, 267, 607, 1279, 607, 621, 814, 711, 1044, 23652, 689, 519, 824, 960, 269, 1403, 513, 960, 568, 1932, 2241, 547, 2408, 2189, 267, 621, 949, 711, 581, 6870, 676, 10677, 1813, 547, 3668, 540, 5169, 1275, 269, 25315, 956, 540, 4930, 610, 2835, 616, 3622, 711, 2808, 10677, 762, 607, 789, 616, 1932, 2110, 269, 4014, 3084, 10677, 4031, 798, 711, 12799, 2446, 602, 10643, 616, 711, 10677, 762, 267, 789, 616, 2356, 711, 6870, 676, 10677, 563, 763, 1377, 540, 5169, 1275, 2838, 585, 513, 960, 547, 581, 6870, 676, 10677, 666, 4268, 676, 16278, 269, 1280, 1383, 267, 1699, 3377, 2984, 949, 711, 581, 2808, 10677, 762, 538, 930, 2477, 267, 1247, 538, 1866, 267, 789, 949, 581, 6870, 676, 10677, 267, 1256, 952, 789, 616, 1641, 547, 513, 10677, 9868, 269, 14645, 14014, 519, 2189, 4082, 540, 5013, 267, 2093, 267, 610, 3741, 676, 513, 1808, 2278, 267, 2864, 982, 519, 5817, 5013, 267, 2093, 267, 610, 3741, 2933, 563, 15371, 513, 960, 568, 10677, 762, 814, 1100, 4276, 547, 2436, 621, 568, 10363, 610, 19275, 676, 1876, 689, 1373, 3370, 610, 22412, 730, 269, 1280, 3236, 267, 27127, 4919, 610, 25848, 2940, 1568, 949, 581, 19275, 538, 930, 2477, 267, 855, 789, 666, 1869, 581, 6870, 676, 10677, 269, 1717, 267, 30191, 10677, 538, 971, 22875, 1141, 519, 960, 568, 10363, 610, 17049, 949, 581, 4101, 267, 2523, 952, 621, 1131, 1611, 16153, 1154, 547, 7803, 2534, 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 ]
[ 1291, 803, 267, 1287, 267, 1315, 1677, 519, 960, 799, 568, 9553, 10590, 901, 1899, 14753, 547, 519, 2956, 540, 8362, 5275, 856, 543, 8508, 938, 4938, 566, 267, 2864, 982, 3274, 7996, 585, 621, 547, 2097, 547, 721, 269, 898, 849, 19595, 721, 602, 938, 4938, 566, 568, 1945, 602, 649, 1590, 8362, 960, 2509, 267, 2864, 982, 3274, 1780, 1947, 16561, 621, 563, 1103, 3932, 267, 834, 309, 6327, 257, 568, 513, 3532, 543, 11121, 6648, 602, 7512, 721, 547, 6432, 547, 938, 12271, 543, 1246, 938, 18653, 267, 1100, 2339, 1018, 9465, 949, 1796, 538, 938, 1259, 269, 898, 19595, 721, 602, 938, 4938, 566, 568, 513, 2707, 540, 4222, 543, 3483, 267, 543, 602, 676, 8508, 621, 267, 649, 666, 711, 1152, 10802, 938, 1378, 2729, 267, 855, 849, 1118, 513, 2318, 1764, 593, 519, 1158, 1472, 721, 563, 22437, 655, 5811, 540, 966, 6327, 676, 15887, 785, 3757, 987, 22105, 648, 585, 2673, 2542, 454, 3891, 1767, 602, 713, 729, 849, 519, 942, 585, 1864, 547, 979, 547, 1153, 269, 3807, 607, 621, 4991, 4158, 538, 519, 5127, 267, 594, 666, 1294, 1524, 269, 7726, 476, 736, 281, 1548, 1705, 519, 10564, 798, 950, 922, 4158, 286, 634, 1126, 538, 519, 6648, 16858, 547, 581, 513, 17761, 12027, 267, 513, 32529, 267, 543, 513, 4585, 2006, 269, 1261, 1281, 1018, 646, 15055, 609, 1010, 838, 1228, 267, 646, 11934, 1010, 9660, 609, 7452, 267, 18864, 3217, 1864, 547, 4305, 267, 952, 646, 4991, 19323, 538, 519, 3141, 610, 4991, 6632, 269, 634, 26738, 568, 4158, 543, 24949, 267, 543, 519, 8265, 2000, 2086, 6763, 899, 513, 9649, 609, 835, 2699, 3750, 538, 922, 2212, 269, 2311, 519, 1448, 950, 3781, 8813, 1010, 3158, 15920, 1864, 547, 5127, 543, 646, 12034, 519, 27369, 998, 519, 6885, 543, 646, 16858, 646, 1223, 581, 513, 10766, 24010, 865, 602, 646, 1223, 849, 1847, 1934, 543, 972, 538, 519, 10754, 693, 3781, 11884, 269, 7726, 476, 279, 281, 1548, 1705, 519, 10564, 1589, 827, 519, 17761, 12027, 286, 6226, 3101, 281, 2736, 909, 519, 3037, 610, 3618, 609, 3946, 610, 2645, 563, 309, 6327, 7313, 655, 4147, 476, 277, 23448, 5999, 543, 12226, 2296, 670, 821, 903, 22976, 454, 305, 629, 785, 3757, 987, 22105, 648, 476, 5908, 272, 268, 3707, 331, 729, 513, 4583, 4095, 19829, 543, 10564, 269, 634, 1344, 649, 3177, 568, 5423, 676, 1797, 540, 513, 2027, 2780, 1982, 269, 769, 519, 12784, 519, 1126, 2501, 1394, 689, 519, 1153, 269, 22105, 648, 6591, 513, 10639, 538, 519, 4639, 607, 513, 7793, 545, 8385, 543, 602, 814, 5310, 3765, 548, 611, 1082, 5375, 3988, 547, 11716, 1010, 1909, 607, 513, 6963, 518, 543, 10404, 540, 19525, 269, 1924, 267, 519, 10564, 16545, 5128, 547, 1831, 513, 32529, 547, 2661, 1272, 10446, 563, 309, 6327, 7313, 655, 1635, 15887, 785, 3757, 987, 22105, 648, 12834, 769, 2296, 4147, 476, 277, 3040, 2296, 12834, 454, 3891, 1281, 1018, 646, 15055, 609, 1010, 838, 1228, 267, 646, 11934, 1010, 9660, 609, 7452, 267, 18864, 3217, 1864, 547, 4305, 952, 646, 4991, 19323, 538, 519, 4991, 6632, 269, 594, 6999, 941, 513, 17761, 12027, 267, 7836, 1250, 1554, 538, 519, 547, 611, 267, 24986, 267, 1412, 289, 9201, 267, 12627, 536, 9201, 256, 8382, 281, 1306, 519, 1554, 5828, 4158, 538, 519, 10543, 267, 1010, 3993, 3576, 1864, 522, 5127, 547, 3207, 543, 998, 519, 1930, 6885, 646, 8068, 513, 4585, 2006, 6972, 689, 1747, 547, 1776, 538, 519, 4158, 543, 24949, 10754, 269, 1548, 616, 789, 3257, 286, 966, 6327, 23448, 5999, 543, 12226, 7043, 7392, 7726, 476, 272, 281, 4208, 1705, 519, 10564, 1616, 547, 1831, 513, 17761, 12027, 267, 513, 32529, 543, 513, 4585, 2006, 286, 634, 6648, 568, 827, 875, 513, 1126, 4991, 13631, 547, 519, 2081, 540, 1004, 1472, 1864, 543, 9060, 1114, 1225, 3930, 885, 543, 18845, 538, 741, 2729, 269, 634, 10564, 6941, 875, 513, 1126, 568, 2618, 10999, 4299, 676, 10792, 2126, 269, 2311, 2185, 538, 519, 10543, 267, 1247, 13059, 689, 1153, 693, 519, 1482, 942, 267, 646, 12034, 519, 2030, 11285, 3276, 8089, 519, 2666, 543, 646, 4941, 547, 581, 513, 21543, 11832, 269, 12321, 1328, 1085, 9529, 1864, 952, 646, 4991, 19323, 538, 519, 3141, 610, 4991, 6632, 269, 1975, 1228, 281, 513, 8325, 1196, 3022, 1907, 1031, 585, 20857, 543, 5969, 19323, 538, 519, 3141, 281, 1261, 730, 1317, 540, 7050, 7943, 267, 7050, 6129, 4598, 20857, 2476, 281, 547, 25058, 3978, 543, 5812, 4674, 3371, 519, 1126, 729, 13631, 676, 1010, 5191, 547, 581, 538, 519, 7452, 543, 798, 519, 1919, 540, 1010, 3903, 609, 1010, 2645, 563, 14367, 1445, 15091, 2069, 543, 1818, 1272, 5079, 269, 1261, 11934, 1010, 9660, 609, 7452, 269, 1261, 11934, 1010, 9660, 543, 4991, 6632, 538, 519, 4764, 269, 1879, 693, 2185, 538, 519, 12784, 594, 2097, 1394, 689, 519, 1153, 267, 594, 666, 1294, 998, 519, 10766, 540, 602, 2777, 519, 32529, 20857, 519, 2666, 269, 5502, 267, 646, 13821, 547, 2972, 519, 20420, 543, 4158, 563, 763, 10754, 616, 14692, 344, 267, 964, 25544, 267, 543, 24949, 269, 5808, 568, 519, 10584, 538, 519, 6648, 286, 11088, 267, 519, 26454, 540, 519, 1126, 568, 2938, 1934, 269, 1261, 3323, 1603, 829, 916, 693, 519, 2085, 540, 5216, 269, 1133, 10277, 540, 1010, 1502, 756, 2830, 625, 585, 519, 2104, 267, 646, 12034, 10761, 543, 1187, 538, 891, 32462, 6009, 4371, 676, 2367, 945, 4440, 1265, 2370, 20106, 538, 741, 960, 269, 769, 519, 3803, 588, 24521, 267, 950, 621, 568, 3781, 267, 519, 3993, 540, 519, 1126, 15920, 1864, 547, 5127, 547, 3207, 563, 1432, 3657, 634, 7313, 2045, 20905, 13242, 769, 634, 7313, 655, 966, 6327, 286, 3040, 2296, 11872, 454, 303, 1157, 856, 519, 3515, 538, 1142, 588, 24521, 267, 799, 2995, 721, 713, 269, 9521, 519, 1126, 267, 519, 536, 4120, 22673, 814, 1100, 4155, 547, 1491, 543, 1100, 1747, 547, 979, 543, 972, 568, 1100, 942, 3808, 585, 1864, 547, 2132, 1394, 547, 1753, 269, 1261, 568, 711, 3808, 547, 1491, 519, 1482, 4155, 899, 519, 1126, 5128, 3217, 547, 1153, 2073, 979, 547, 519, 1482, 1153, 267, 543, 2132, 1394, 1753, 269, 8382, 281, 15316, 2010, 540, 5370, 269, 1261, 13821, 547, 1831, 513, 536, 4120, 5498, 28705, 267, 513, 32529, 543, 513, 4585, 2006, 1317, 646, 14659, 602, 789, 782, 2972, 5191, 269, 1261, 1281, 1018, 646, 15055, 609, 1010, 838, 1228, 267, 646, 11934, 20130, 9660, 609, 7452, 267, 18864, 3217, 1864, 547, 4305, 604, 646, 4991, 19323, 538, 519, 3141, 610, 4991, 6632, 563, 12585, 281, 769, 519, 4158, 543, 24949, 8265, 269, 1261, 568, 27052, 676, 1010, 3237, 543, 3610, 950, 646, 2306, 513, 12161, 269, 4340, 547, 519, 1126, 267, 519, 26738, 568, 4158, 543, 972, 568, 1100, 835, 6972, 593, 621, 269, 7726, 476, 273, 281, 1548, 568, 519, 942, 519, 10564, 6972, 585, 1153, 286, 2311, 3781, 519, 1126, 12034, 519, 4585, 2006, 593, 10279, 269, 7726, 476, 866, 281, 4208, 1705, 519, 10564, 1616, 547, 1831, 513, 32529, 286, 8382, 281, 17616, 267, 646, 24714, 547, 1831, 513, 17761, 12027, 21409, 10876, 269, 1284, 1118, 1100, 15549, 625, 540, 1022, 2186, 267, 2769, 610, 22466, 267, 827, 519, 1264, 28467, 267, 6111, 267, 10727, 543, 29839, 609, 2463, 547, 519, 1344, 563, 3383, 267, 950, 646, 12034, 519, 17761, 12027, 267, 32529, 543, 4585, 2006, 3257, 741, 960, 11884, 267, 646, 13821, 547, 581, 899, 873, 607, 646, 1281, 711, 917, 741, 10792, 4641, 269, 8382, 281, 634, 10564, 4767, 513, 32529, 998, 519, 10766, 540, 1010, 2777, 950, 646, 8120, 689, 1153, 693, 476, 275, 538, 519, 12784, 269, 24641, 952, 646, 1131, 723, 1044, 27052, 585, 782, 713, 269, 3571, 2816, 568, 18660, 543, 6632, 543, 1010, 3946, 616, 1289, 748, 539, 689, 1210, 12202, 2645, 269, 7313, 655, 676, 15887, 785, 3757, 987, 22105, 648, 966, 6327, 676, 22731, 2140, 11774, 355, 361, 14972, 379, 14972, 504, 14972, 379, 14972, 353, 29082, 491, 14972, 364, 11774, 355, 372, 14972, 378, 14972, 356, 25927, 1807, 32148, 3689, 3370, 538, 476, 5002, 280, 13474, 5678, 13595, 521, 4132, 4555, 21629, 22731, 910, 32148, 269, 8382, 281, 589, 1268, 945, 6133, 5370, 676, 21409, 835, 1747, 547, 1776, 563, 309, 6327, 4147, 476, 277, 2296, 7313, 655, 476, 278, 19247, 267, 7726, 8382, 454, 763, 1126, 1590, 634, 1126, 1590, 711, 2097, 1753, 693, 513, 6378, 942, 269, 8382, 281, 29303, 909, 543, 1524, 269, 19627, 267, 646, 4941, 547, 1831, 513, 32529, 20857, 519, 2666, 609, 5191, 543, 18864, 1223, 3247, 1864, 269, 1280, 519, 1126, 267, 513, 17761, 12027, 536, 4120, 22673, 2729, 606, 4830, 1272, 543, 1281, 8726, 646, 15055, 269, 1879, 519, 575, 784, 4992, 4557, 538, 519, 6640, 543, 594, 3802, 547, 1153, 676, 938, 26738, 267, 5272, 1554, 594, 2743, 519, 17761, 330, 2075, 11538, 267, 1412, 289, 9201, 269, 966, 6327, 23448, 5999, 543, 12226, 966, 6327, 7313, 655, 4147, 476, 277, 23448, 5999, 543, 12226, 19436, 4147, 476, 277, 7313, 655, 966, 6327, 23448, 5999, 966, 6327, 7313, 655, 4147, 476, 277, 23448, 5999, 543, 12226, 2296, 670, 821, 903, 22976, 7313, 655, 23448, 5999, 543, 12226, 966, 6327, 269, 901, 568, 568, 1946, 9060, 824, 4938, 725, 4277, 563, 12585, 281, 17616, 267, 519, 10564, 24714, 547, 1831, 513, 17761, 12027, 1317, 607, 646, 5469, 513, 17761, 12027, 21409, 835, 1747, 547, 1776, 1510, 1022, 1544, 610, 1022, 942, 535, 1441, 547, 6133, 1010, 5370, 269, 594, 6999, 594, 941, 513, 32529, 20857, 2476, 693, 519, 4677, 609, 18864, 547, 3247, 803, 689, 20857, 269, 7726, 476, 274, 281, 14674, 4585, 2006, 269, 594, 6999, 594, 941, 513, 4585, 2006, 6972, 519, 8265, 782, 3781, 267, 31743, 519, 20224, 609, 1250, 26816, 1181, 269, 8921, 267, 646, 16858, 646, 941, 513, 32529, 1317, 513, 32529, 1281, 1018, 646, 15055, 609, 1010, 838, 1228, 269, 5808, 616, 519, 1004, 519, 10584, 10742, 286, 1548, 16858, 1281, 519, 1126, 538, 519, 6648, 1118, 286, 898, 14753, 827, 875, 513, 1126, 568, 23387, 540, 519, 10792, 1145, 4448, 547, 3232, 1272, 543, 4991, 13631, 547, 1585, 1919, 538, 1272, 269, 634, 4585, 2006, 23638, 1010, 26816, 1181, 543, 15211, 609, 1010, 14692, 693, 1010, 2427, 267, 543, 2760, 2899, 4422, 547, 5127, 538, 1010, 1272, 269, 0, 21930, 2021, 941, 811, 2693, 547, 4497, 538, 19408, 2623, 899, 1617, 527, 27965, 610, 6643, 1247, 27312, 24383, 8957, 1762, 2367, 267, 2687, 547, 606, 22423, 1353, 540, 2852, 1053, 3370, 5147, 476, 2918, 267, 476, 1708, 274, 538, 519, 1930, 14092, 947, 4760, 12813, 5308, 21450, 676, 5754, 324, 21930, 932, 334, 543, 1744, 597, 2917, 681, 2884, 11276, 330, 689, 8830, 16746, 2160, 267, 772, 2529, 1421, 543, 9164, 563, 293, 16226, 593, 519, 24383, 568, 811, 2693, 547, 1267, 538, 7063, 982, 824, 2010, 540, 8813, 269, 769, 519, 772, 2529, 1421, 1614, 2516, 616, 1034, 2693, 547, 2887, 593, 519, 24383, 281, 1453, 896, 1614, 1296, 267, 1762, 4079, 538, 741, 476, 736, 338, 267, 543, 4587, 4079, 936, 476, 5952, 1296, 269, 769, 519, 1762, 2937, 1895, 4481, 267, 2021, 616, 13676, 476, 3199, 260, 811, 1419, 982, 2367, 9789, 5207, 5945, 2557, 2066, 782, 6502, 543, 28486, 4849, 585, 2021, 538, 741, 5216, 625, 610, 1657, 563, 2414, 2697, 4220, 585, 9991, 593, 519, 24383, 543, 4983, 1946, 1762, 2021, 2844, 865, 1082, 25047, 5829, 7063, 3379, 547, 1762, 2367, 267, 519, 4589, 2756, 582, 9464, 1079, 11255, 25047, 322, 1162, 593, 513, 772, 2529, 269, 6280, 13464, 267, 835, 2110, 630, 18314, 9912, 338, 264, 543, 835, 1279, 630, 1704, 9912, 338, 264, 936, 519, 1576, 540, 513, 19496, 563, 5445, 9916, 476, 273, 267, 6110, 1762, 4079, 6592, 593, 2901, 519, 2110, 25047, 13826, 630, 7367, 260, 540, 7247, 941, 2021, 264, 610, 1279, 25047, 13826, 630, 3066, 260, 540, 7247, 941, 2021, 1070, 543, 4857, 5216, 19408, 5615, 281, 1100, 1688, 571, 559, 946, 282, 711, 8384, 519, 24383, 1247, 27312, 282, 9849, 5070, 1023, 267, 16212, 22286, 3591, 267, 610, 1164, 31623, 282, 2348, 606, 538, 16512, 610, 16335, 6643, 282, 1210, 606, 5907, 3926, 282, 3946, 538, 22836, 282, 8066, 1945, 282, 543, 1236, 6235, 3268, 563, 5445, 849, 4857, 2947, 5171, 945, 4503, 741, 3666, 267, 782 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 7170, 281, 24006, 1722, 6153, 338, 16373, 538, 519, 22960, 1299, 7956, 850, 12752, 281, 4197, 1215, 4858, 2738, 6435, 4438, 7849, 2598, 7539, 692, 8893, 20638, 281, 4841, 786, 1174, 875, 17195, 6752, 12478, 946, 741, 2200, 543, 3310, 547, 4217, 1282, 2067, 12469, 899, 519, 17160, 538, 9031, 543, 1451, 827, 6725, 2994, 1369, 519, 6752, 2872, 780, 7072, 912, 5970, 596, 2479, 9289, 1018, 4523, 950, 513, 2101, 9568, 16716, 286, 1879, 6360, 31662, 4473, 610, 16767, 21199, 519, 2666, 267, 1082, 2729, 666, 581, 12936, 11874, 269, 1452, 2621, 1419, 2014, 9552, 267, 16550, 1004, 856, 540, 741, 5321, 543, 27200, 2199, 11615, 269, 1809, 1705, 596, 917, 602, 930, 4213, 1900, 909, 1282, 891, 4101, 2053, 547, 948, 1346, 538, 991, 286, 13018, 267, 649, 3513, 1413, 693, 3549, 538, 519, 6752, 543, 20955, 2872, 30147, 2882, 7802, 267, 17960, 267, 543, 824, 3688, 1500, 689, 5958, 11652, 1294, 875, 789, 2344, 741, 2472, 1247, 1818, 513, 2318, 3017, 538, 519, 1158, 2439, 4089, 476, 272, 281, 1548, 3657, 24006, 1722, 6153, 338, 888, 5331, 707, 5172, 14704, 1688, 321, 698, 267, 6292, 540, 10887, 267, 610, 4585, 12816, 676, 28245, 593, 7641, 2982, 543, 9413, 269, 8409, 1164, 15134, 3688, 616, 1572, 17195, 5370, 1317, 789, 1942, 811, 982, 2834, 1919, 1813, 547, 2188, 971, 607, 9120, 2326, 267, 23477, 267, 6216, 10639, 267, 543, 608, 12807, 269, 14992, 9513, 17195, 5370, 2832, 547, 1711, 7287, 1851, 5561, 945, 1616, 547, 13686, 4567, 6698, 998, 741, 16306, 780, 4089, 476, 273, 281, 16373, 11150, 538, 519, 22960, 1299, 7956, 850, 12752, 454, 15812, 7566, 4249, 513, 2629, 1909, 538, 5009, 17195, 5370, 269, 4858, 2738, 1020, 2189, 2984, 1472, 1142, 1587, 267, 8220, 609, 6800, 14156, 269, 1358, 949, 3984, 12600, 2196, 3118, 2982, 267, 12840, 609, 4583, 5159, 267, 610, 7649, 609, 2442, 4623, 6203, 547, 2333, 15287, 269, 1635, 1997, 908, 2933, 609, 1350, 600, 712, 543, 31449, 267, 891, 3549, 1628, 2178, 4296, 609, 1761, 18046, 780, 7078, 5384, 256, 6056, 827, 715, 833, 267, 835, 540, 519, 7887, 4408, 538, 5026, 813, 28328, 543, 31321, 269, 4256, 11599, 2220, 334, 9655, 20446, 4564, 2773, 267, 5647, 267, 543, 2511, 269, 26465, 525, 5001, 5957, 715, 833, 10591, 547, 5365, 17284, 267, 16608, 267, 543, 1967, 269, 901, 3532, 4276, 1063, 6216, 3961, 543, 7082, 8321, 566, 11479, 6455, 543, 2306, 715, 833, 1796, 856, 538, 513, 22125, 19458, 780, 4089, 476, 274, 281, 24006, 1722, 4858, 2738, 29955, 2991, 7849, 2598, 7539, 454, 3086, 1577, 781, 2263, 875, 930, 17195, 6752, 12478, 3565, 9797, 1282, 16839, 899, 519, 17160, 538, 9031, 5018, 4505, 269, 5502, 540, 1175, 5356, 28774, 610, 30572, 11044, 267, 891, 3549, 979, 3564, 2757, 6725, 12485, 676, 3246, 1483, 1489, 547, 2950, 538, 991, 269, 1280, 3236, 267, 789, 1522, 24946, 7482, 267, 7727, 267, 610, 6791, 547, 8323, 3646, 267, 3850, 873, 547, 6542, 1514, 5539, 543, 8296, 780, 1103, 2132, 267, 713, 2186, 27329, 2962, 2337, 7794, 6075, 14017, 543, 10607, 2949, 6216, 3239, 269, 3117, 28366, 1745, 1434, 6616, 602, 741, 2182, 268, 792, 2740, 2724, 7028, 13998, 6857, 3906, 8149, 547, 5355, 2486, 269, 3958, 267, 621, 12651, 4656, 827, 10296, 2518, 2152, 267, 8716, 1866, 547, 6443, 4229, 538, 4543, 1346, 1447, 26752, 780, 6962, 912, 2026, 2104, 1870, 3401, 267, 1620, 519, 1379, 540, 17195, 5370, 6725, 543, 922, 2702, 547, 5397, 2318, 1689, 568, 2565, 269, 4804, 875, 3549, 4431, 1282, 2067, 12469, 8711, 519, 2956, 540, 9746, 1514, 5539, 630, 5425, 305, 264, 7341, 543, 5807, 9758, 3347, 609, 5561, 1759, 593, 3838, 2418, 269, 8921, 942, 596, 7237, 513, 4190, 4062, 540, 7802, 610, 1569, 800, 267, 2015, 711, 1152, 922, 12716, 9029, 855, 849, 519, 1650, 3297, 621, 543, 2436, 5885, 602, 2754, 20383, 609, 707, 4978, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 3080, 3791, 540, 9031, 568, 14015, 1739, 9568, 7400, 17160, 602, 723, 30635, 3042, 519, 2197, 2094, 4571, 4873, 540, 476, 1708, 273, 269, 634, 14700, 568, 513, 19493, 6433, 540, 12473, 17114, 267, 8744, 2916, 1689, 543, 2825, 5126, 883, 519, 1445, 540, 7391, 827, 1946, 519, 17160, 616, 865, 14042, 269, 634, 2594, 31771, 30734, 22856, 723, 4299, 476, 3451, 2929, 4961, 267, 6028, 6634, 19774, 543, 17116, 519, 4346, 676, 11067, 2476, 519, 2887, 7556, 543, 1898, 3484, 1633, 269, 9031, 779, 1034, 7925, 616, 10010, 547, 1569, 519, 17077, 5351, 602, 568, 2139, 267, 1519, 519, 476, 866, 2929, 1453, 4299, 676, 519, 17160, 269, 898, 568, 606, 13778, 267, 2899, 538, 513, 2540, 6433, 2680, 28978, 676, 2916, 1689, 267, 4057, 5989, 267, 543, 519, 14796, 540, 519, 2487, 2804, 6433, 1991, 547, 519, 14700, 563, 17445, 8177, 540, 519, 24627, 338, 281, 12017, 518, 267, 8376, 543, 2598, 10293, 563, 763, 30734, 22856, 723, 7166, 936, 513, 8536, 1004, 267, 10199, 476, 6110, 540, 799, 616, 1453, 269, 1717, 267, 14000, 267, 19818, 267, 2068, 267, 543, 2110, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 299, 5060, 1722, 6153, 338, 16373, 257, 607, 851, 540, 834, 24082, 1299, 18598, 1315, 24322, 1315, 22960, 1299, 7956, 850, 12752, 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, 769, 519, 7706, 540, 6138, 267, 16650, 1143, 29102, 602, 938, 1367, 6228, 9551, 525, 1022, 1898, 11008, 1436, 267, 543, 3976, 938, 4978, 827, 6000, 543, 519, 1158, 1472, 721, 1404, 513, 2629, 1909, 538, 5935, 945, 649, 616, 269, 901, 1523, 568, 20206, 4327, 538, 519, 10839, 676, 20435, 16423, 32184, 13153, 3619, 9220, 267, 1141, 646, 2829, 602, 834, 15161, 616, 1500, 676, 741, 4978, 269, 1306, 789, 3494, 267, 865, 789, 616, 1701, 11569, 267, 713, 10206, 6013, 693, 519, 2295, 540, 3943, 16650, 1143, 267, 3226, 538, 922, 6278, 609, 519, 2470, 543, 4644, 540, 1480, 4978, 780, 2414, 2253, 267, 1577, 781, 2263, 519, 11984, 1063, 6071, 2093, 543, 7184, 4371, 4978, 269, 4340, 547, 519, 2296, 23464, 2006, 7917, 12157, 2023, 267, 513, 3661, 568, 711, 3274, 606, 7493, 1523, 602, 29084, 1369, 938, 8186, 269, 13298, 267, 621, 568, 606, 2856, 602, 530, 3658, 1379, 936, 938, 4555, 267, 4606, 267, 543, 3527, 269, 1879, 649, 3180, 513, 3661, 267, 649, 1450, 621, 547, 3337, 938, 8226, 540, 4641, 267, 12018, 875, 649, 4612, 1007, 1344, 543, 2833, 269, 898, 3587, 519, 7828, 998, 799, 649, 2070, 519, 1158, 267, 7801, 1169, 2460, 540, 938, 2729, 780, 1607, 5133, 20383, 5702, 609, 519, 960, 540, 1977, 2797, 10196, 7917, 808, 969, 529, 267, 945, 6257, 4978, 607, 1871, 21437, 602, 616, 5641, 883, 12572, 1949, 543, 1287, 15810, 5196, 938, 11994, 269, 3776, 4978, 4196, 607, 12180, 3741, 267, 4543, 721, 20818, 1931, 2390, 519, 14784, 540, 6151, 10444, 1239, 602, 10514, 1841, 721, 7683, 269, 1635, 1439, 12976, 1978, 3615, 267, 2621, 267, 610, 9259, 609, 2495, 267, 649, 1711, 513, 17396, 2239, 602, 2636, 721, 547, 6330, 938, 1604, 811, 3927, 780, 4913, 267, 972, 514, 849, 6013, 519, 1761, 8594, 540, 8066, 7301, 610, 3765, 7666, 3660, 4978, 269, 1403, 649, 3398, 20093, 821, 748, 10054, 827, 6000, 610, 519, 1158, 267, 891, 6959, 666, 29608, 2429, 938, 3003, 5943, 540, 1702, 267, 3056, 547, 25302, 21520, 543, 3664, 269, 15465, 16895, 971, 607, 13690, 828, 2917, 654, 1228, 723, 13006, 3875, 8320, 540, 2043, 3384, 7301, 8823, 543, 4978, 1759, 593, 1514, 10291, 267, 9263, 2604, 267, 610, 1256, 1016, 3916, 1400, 20261, 269, 1452, 4681, 20838, 519, 2956, 540, 14237, 2565, 3206, 1983, 543, 6967, 21713, 1996, 519, 1202, 573, 1190, 3310, 540, 21533, 9186, 780, 4263, 713, 1448, 267, 621, 949, 581, 5363, 547, 16174, 1063, 1585, 2010, 540, 4978, 267, 8151, 689, 27217, 22530, 1431, 547, 7096, 10952, 19647, 269, 589, 3730, 21658, 666, 581, 6537, 689, 7061, 11707, 267, 4481, 519, 5951, 12268, 1834, 546, 7081, 6240, 269, 3807, 607, 1769, 15225, 1312, 5951, 6438, 543, 9325, 6438, 2623, 4470, 593, 519, 8097, 2175, 267, 1480, 31710, 666, 8915, 2933, 2059, 513, 27795, 540, 8515, 543, 23506, 780, 4002, 835, 1439, 540, 519, 8552, 9114, 22297, 4978, 267, 799, 5330, 547, 15768, 5536, 540, 5132, 910, 1018, 1522, 30351, 6053, 581, 5219, 547, 607, 22530, 1431, 269, 8111, 560, 1431, 3335, 4125, 5316, 1903, 540, 1757, 1275, 610, 9756, 547, 1808, 3615, 267, 20825, 267, 610, 12738, 267, 1419, 1510, 12170, 2963, 610, 9266, 5748, 269, 6201, 2039, 689, 18822, 1347, 916, 543, 5657, 1143, 753, 547, 840, 18524, 13467, 1851, 9845, 269, 2755, 9583, 21030, 6681, 267, 22530, 1431, 9414, 519, 4412, 3748, 585, 3425, 547, 28093, 826, 17062, 2609, 540, 741, 1604, 609, 4644, 267, 7551, 17923, 519, 3532, 4276, 1063, 4978, 543, 2123, 3961, 780, 1103, 4334, 547, 22530, 1431, 267, 2407, 1922, 1194, 3022, 4978, 13822, 4610, 540, 24235, 602, 8831, 3564, 9678, 13685, 610, 13742, 269, 1358, 2099, 3376, 17565, 1738, 31223, 2509, 4641, 267, 12979, 1681, 938, 2418, 267, 17050, 267, 543, 1582, 8410, 32383, 269, 1280, 3236, 267, 3909, 4978, 1683, 13654, 6386, 602, 2666, 5837, 8155, 267, 3140, 6589, 267, 543, 18497, 7554, 269, 11572, 19237, 2709, 23039, 29251, 585, 12180, 2486, 267, 7755, 644, 21899, 7526, 267, 543, 5009, 3356, 269, 11096, 28441, 29625, 29939, 4808, 585, 16208, 1995, 267, 10442, 7440, 267, 543, 1167, 518, 940, 5168, 780, 8601, 741, 3604, 267, 2705, 267, 1312, 22530, 1431, 543, 4978, 2671, 1896, 1883, 2934, 269, 3689, 267, 789, 27167, 513, 18515, 547, 7080, 754, 771, 10964, 3971, 267, 8508, 10462, 543, 13509, 538, 13287, 540, 6209, 3270, 610, 4030, 269, 5822, 267, 789, 6536, 513, 2631, 540, 14336, 4800, 610, 535, 23474, 267, 11121, 7029, 543, 14017, 1256, 538, 519, 3068, 540, 14488, 610, 27171, 269, 12059, 267, 789, 1266, 2658, 2950, 540, 2259, 267, 8744, 1927, 899, 16490, 2043, 945, 2671, 2147, 19773, 338, 543, 4497, 538, 7104, 18129, 780, 18698, 519, 2078, 1063, 16650, 1143, 543, 3661, 19329, 21679, 609, 2055, 4478, 8116, 267, 13597, 267, 543, 5539, 269, 1215, 1058, 649, 31363, 519, 7805, 4351, 1145, 610, 20314, 1890, 540, 6228, 609, 519, 7287, 585, 6617, 543, 3483, 286, 1677, 1018, 6708, 666, 649, 3972, 938, 1378, 11521, 1431, 543, 21520, 267, 6616, 602, 789, 616, 23366, 8032, 676, 2686, 14555, 543, 5626, 12886, 286, 1656, 6368, 267, 875, 666, 649, 11349, 6043, 543, 13916, 538, 519, 3068, 540, 4657, 6381, 267, 8497, 938, 4295, 31710, 1247, 6967, 1930, 547, 2208, 543, 7004, 2496, 3080, 2009, 1935, 3322, 12561, 513, 14302, 540, 19815, 2438, 21548, 267, 14344, 519, 7182, 540, 938, 1378, 1620, 543, 9301, 519, 1008, 29850, 2470, 540, 782, 6811, 547, 1702, 269, 901, 18879, 1281, 711, 17538, 25949, 610, 562, 8811, 559, 1143, 855, 2864, 20217, 5571, 8086, 267, 5188, 267, 543, 17634, 269, 1635, 2502, 538, 25442, 1582, 7721, 8727, 543, 4509, 513, 6891, 540, 7279, 267, 649, 2990, 6000, 547, 11457, 543, 9921, 267, 17975, 938, 4978, 538, 3210, 547, 3209, 2591, 543, 3255, 780, 5194, 4640, 5161, 538, 5807, 17604, 543, 6568, 2066, 3309, 5380, 267, 5275, 1455, 2666, 9624, 24895, 543, 16311, 566, 269, 3414, 16614, 6643, 543, 10319, 1966, 9010, 267, 649, 666, 16637, 1612, 5255, 658, 10121, 2906, 543, 585, 613, 6626, 5755, 1431, 12082, 538, 3838, 4145, 543, 17050, 269, 6270, 3646, 2154, 10100, 543, 13438 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 20885, 543, 12754, 5004, 257, 607, 851, 540, 834, 24719, 13316, 1315, 15043, 1299, 24021, 18831, 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, 8080, 547, 938, 3992, 827, 6520, 1143, 543, 3955, 23400, 21664, 256, 901, 1522, 3280, 899, 513, 2462, 16681, 2165, 267, 855, 1810, 1405, 5855, 910, 676, 519, 1439, 540, 713, 1362, 267, 596, 786, 581, 606, 4274, 256, 2913, 781, 1376, 609, 1620, 1018, 891, 1913, 2965, 1611, 780, 1262, 1432, 568, 6520, 1143, 15140, 5331, 952, 2576, 5701, 596, 15490, 569, 1175, 1317, 540, 707, 2085, 269, 9320, 789, 2219, 602, 596, 7948, 1406, 798, 1945, 1152, 1317, 596, 941, 7820, 610, 4587, 982, 873, 269, 2334, 2186, 540, 2623, 568, 1572, 968, 720, 1143, 1848, 898, 4523, 950, 1004, 723, 11475, 630, 528, 6378, 2093, 264, 827, 1114, 2085, 2516, 267, 799, 5012, 547, 7130, 630, 684, 325, 1515, 2126, 1040, 8528, 2690, 1383, 267, 930, 11570, 949, 1589, 602, 4587, 2043, 5749, 1405, 1434, 609, 2029, 610, 1007, 2093, 269, 2107, 1866, 1522, 8263, 602, 14038, 3668, 1995, 543, 15657, 2877, 585, 1978, 4247, 269, 1452, 10054, 616, 2010, 540, 2085, 1143, 2094, 789, 9794, 1004, 1759, 593, 741, 2085, 2864, 982, 741, 1983, 610, 5759, 780, 1262, 3963, 9701, 1284, 5516, 6168, 6520, 1143, 15140, 3086, 602, 649, 1174, 1018, 2085, 1143, 568, 1577, 781, 2911, 827, 1946, 621, 6927, 269, 5272, 1268, 814, 2189, 2833, 267, 5380, 267, 543, 15421, 547, 2709, 267, 7488, 540, 741, 2085, 269, 1635, 8508, 3025, 781, 7418, 267, 4213, 1831, 811, 5499, 543, 3811, 269, 9578, 267, 8156, 3025, 9425, 568, 3274, 519, 1318, 3364, 547, 798, 2439, 19013, 267, 1082, 28737, 1869, 6560, 609, 2085, 1143, 269, 1358, 1522, 4413, 856, 593, 5863, 5520, 945, 3142, 4195, 16752, 543, 3407, 6791, 269, 654, 573, 2287, 519, 7450, 585, 3309, 6502, 5932, 3255, 585, 29076, 5698, 1107, 2324, 1927, 5103, 3604, 538, 2085, 780, 1262, 11328, 23400, 21664, 5093, 589, 12736, 940, 15613, 692, 4131, 803, 2995, 596, 513, 5728, 281, 9256, 4229, 2066, 5481, 2306, 6887, 6793, 256, 8479, 518, 2319, 2818, 3565, 3860, 3206, 267, 6639, 5260, 11803, 267, 543, 15131, 269, 24771, 9164, 1039, 7326, 267, 3638, 3318, 10080, 267, 543, 1966, 9010, 1983, 4378, 539, 936, 942, 269, 1879, 1312, 10600, 12840, 267, 6909, 1919, 4755, 2439, 13914, 1394, 547, 707, 5172, 1895, 3785, 693, 1153, 269, 9894, 333, 1405, 1142, 2875, 3142, 1945, 2027, 547, 519, 3349, 286, 2368, 3214, 4597, 539, 693, 23730, 3579, 2093, 1247, 1866, 695, 821, 1282, 1788, 4058, 610, 11056, 269, 8625, 267, 596, 2813, 15813, 2164, 3152, 982, 1022, 835, 1367, 1223, 3035, 4805, 269, 634, 1482, 6240, 10039, 547, 1870, 6887, 1500, 909, 540, 1585, 2085, 2516, 780, 1262, 7021, 5765, 6520, 1143, 281, 9540, 17778, 5269, 8262, 15448, 4373, 3383, 875, 666, 649, 4339, 1996, 2085, 1143, 543, 3895, 29076, 5698, 286, 3371, 616, 930, 4388, 1384, 272, 269, 2878, 19733, 4995, 6258, 827, 2085, 1143, 543, 2671, 707, 1702, 609, 2828, 543, 1920, 269, 11559, 16614, 5188, 1472, 3604, 538, 2085, 543, 1995, 563, 273, 269, 2878, 300, 550, 11208, 15789, 4995, 8081, 7341, 1141, 4810, 4648, 21927, 7820, 3283, 267, 4687, 4030, 543, 5583, 269, 19452, 267, 1711, 5624, 585, 6107, 547, 4001, 22242, 827, 1007, 3466, 610, 4066, 563, 274, 269, 2878, 1103, 5477, 5678, 4995, 2142, 13533, 540, 1893, 5079, 269, 1280, 3236, 267, 3079, 540, 1210, 2474, 899, 834, 21745, 1388, 25165, 2437, 2161, 834, 15161, 5432, 609, 3059, 2645, 1701, 901, 8992, 13784, 543, 17767, 3025, 781, 1761, 563, 275, 269, 2878, 293, 2716, 2225, 4995, 22737, 8465, 16131, 543, 6552, 960, 3681, 602, 13918, 8795, 1272, 5933, 543, 7375, 269, 6270, 4507, 948, 11677, 16805, 4600, 540, 782, 6502, 563, 276, 269, 2878, 23895, 14896, 622, 11773, 525, 4995, 31209, 8320, 1141, 6404, 21943, 6887, 8853, 269, 9523, 2984, 540, 24984, 6913, 998, 29076, 5698, 780, 8855, 267, 1689, 6238, 609, 721, 256, 3962, 1507, 2962, 8309, 547, 2679, 8537, 5054, 1141, 1169, 1268, 7959, 12595, 543, 23518, 267, 1100, 2339, 741, 2085, 269, 8414, 1565, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 21010, 687, 547, 1628, 269, 13669, 550, 547, 1332, 563, 2171, 1683, 2866, 543, 11727, 5234, 547, 9746, 9988, 563, 763, 1318, 1004, 666, 1118, 782, 519, 3017, 585, 707, 3919, 269, 1284, 616, 1934, 547, 2322, 519, 1318, 1004, 1369, 707, 3914, 269, 21278, 2866, 267, 10647, 13007, 19707, 267, 543, 1818, 6209, 4296, 568, 875, 649, 7500, 269, 2311, 2817, 16065, 532, 7896, 267, 649, 917, 519, 1764, 1390, 4296, 666, 1118, 585, 707, 1870, 269, 1306, 3401, 538, 519, 5234, 532, 543, 19684, 2872, 267, 2523, 3782, 267, 649, 1616, 547, 1118, 519, 13007, 3406, 1184, 4443, 585, 596, 563, 2026, 3533, 607, 519, 4346, 568, 3001, 543, 4657, 267, 596, 991, 547, 1847, 1175, 607, 3533, 267, 4657, 693, 519, 1482, 2557, 543, 7598, 5969, 12967, 2093, 269, 1284, 1118, 519, 3003, 1184, 2241, 543, 3551, 267, 5969, 998, 519, 10539, 543, 519, 10848, 1107, 547, 2490, 707, 17849, 4640, 883, 519, 14785, 543, 5730, 4674, 621, 1058, 581, 563, 16920, 550, 633, 547, 1870, 2115, 454, 291, 1751, 1299, 29621, 454, 299, 20235, 4791, 6351, 454, 299, 545, 10234, 16195, 28968, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 21848, 1143, 543, 3955, 23400, 21664, 257, 607, 851, 540, 834, 24082, 1299, 18598, 1315, 16844, 1299, 29621, 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, 8893, 281, 29325, 4370, 543, 5685, 5109, 538, 2274, 1430, 1740, 692, 5970, 596, 2479, 4941, 547, 1118, 1945, 5963, 835, 6361, 8584, 29292, 286, 23985, 602, 596, 666, 2161, 596, 1500, 3054, 543, 616, 10583, 540, 286, 4270, 267, 31617, 909, 1317, 649, 2811, 827, 547, 7832, 593, 606, 7045, 538, 16463, 11529, 256, 13018, 267, 649, 3513, 2263, 10085, 4370, 543, 18138, 2553, 602, 786, 2285, 707, 16463, 3785, 513, 2123, 5905, 780, 8867, 1430, 11529, 568, 606, 3504, 1148, 1106, 13736, 782, 936, 519, 1158, 269, 3245, 11435, 543, 26797, 547, 13544, 1115, 543, 10887, 267, 16463, 32305, 723, 1044, 1210, 713, 14463, 1570, 547, 1711, 4052, 2943, 31042, 3688, 585, 5553, 269, 2060, 930, 2259, 543, 9639, 267, 596, 1932, 666, 6443, 519, 16034, 540, 891, 9952, 6159, 1123, 338, 780, 5575, 1919, 1101, 910, 1354, 596, 1376, 10085, 4370, 543, 18138, 707, 16463, 1788, 267, 621, 2115, 547, 581, 2759, 543, 19632, 2687, 547, 707, 1374, 269, 4495, 596, 4312, 3893, 602, 851, 1524, 630, 528, 952, 596, 4312, 2907, 6192, 621, 1070, 621, 781, 942, 547, 1039, 2681, 543, 4027, 609, 24470, 543, 26088, 780, 4131, 781, 2253, 676, 6158, 827, 24470, 269, 1703, 616, 1896, 2010, 540, 24470, 2139, 585, 946, 593, 16463, 267, 1519, 4568, 2861, 267, 1216, 2861, 267, 543, 3282, 2861, 24470, 269, 3962, 1826, 814, 922, 5383, 543, 11393, 267, 865, 7446, 519, 1318, 835, 5673, 593, 1018, 2186, 540, 1413, 596, 1616, 543, 875, 8628, 596, 1616, 519, 2681, 547, 581, 269, 1280, 1383, 267, 4568, 2861, 24470, 4043, 547, 3132, 811, 7524, 4778, 855, 949, 2154, 2027, 13021, 1218, 547, 2061, 535, 8172, 936, 942, 269, 4826, 2861, 24470, 616, 3622, 4443, 547, 960, 609, 543, 2973, 909, 267, 855, 789, 1522, 711, 23309, 607, 7184, 883, 519, 16463, 11103, 780, 3086, 602, 649, 4312, 4988, 519, 9238, 540, 24470, 1577, 781, 1847, 593, 547, 3498, 2409, 269, 1411, 666, 4019, 20004, 1210, 1585, 2645, 899, 26814, 267, 29008, 525, 267, 610, 1256, 10936, 14569, 269, 634, 1883, 1934, 568, 4180, 606, 1256, 10359, 2066, 519, 3003, 2627, 540, 707, 1788, 269, 3399, 676, 7311, 513, 6094, 4494, 540, 20004, 267, 1287, 1628, 909, 519, 2681, 7930, 2394, 596, 3035, 519, 5551, 12094, 269, 2142, 2386, 547, 1450, 1142, 4494, 547, 3819, 4625, 1354, 4946, 1776, 282, 6382, 267, 596, 1981, 14124, 519, 16463, 610, 4929, 19514, 32442, 780, 5629, 596, 4312, 4294, 519, 20004, 267, 621, 781, 942, 547, 2149, 707, 20100, 609, 513, 9096, 269, 5685, 8460, 4196, 1079, 1292, 5301, 281, 789, 3986, 519, 5920, 540, 707, 1788, 543, 1683, 3606, 15006, 269, 2368, 1455, 26088, 1031, 538, 16463, 11529, 1331, 14589, 525, 267, 11041, 267, 543, 13021, 1218, 269, 654, 31320, 543, 11041, 666, 10802, 519, 2681, 540, 707, 20004, 1247, 849, 3246, 1216, 4187, 269, 1530, 531, 1218, 267, 593, 519, 824, 1688, 267, 1711, 513, 8825, 11064, 1996, 1085, 32332, 267, 25859, 267, 543, 5957, 780, 28274, 9096, 568, 2147, 547, 7311, 20004, 910, 946, 3617, 2645, 630, 7945, 607, 12308, 338, 267, 1972, 2209, 267, 610, 17371, 26814, 264, 543, 2327, 606, 1256, 15098, 269, 5901, 538, 2247, 602, 1978, 26088, 949, 4158, 523, 519, 2681, 540, 707, 20004, 5594, 267, 865, 1449, 873, 593, 16150, 4773, 1101, 952, 2009, 780, 1103, 3932, 267, 10085, 4370, 543, 18138, 616, 1898, 3268, 538, 2870, 513, 10875, 16463, 1788, 269, 1635, 1620, 519, 1114, 2010, 540, 24470, 543, 26088, 2139, 267, 2059, 609, 1697, 3498, 2553, 267, 596, 3513, 581, 1134, 593, 707, 1259, 547, 1818, 2189, 267, 3750, 2275, 10248, 3688, 602, 2992, 707, 7209, 543, 2511, 269, 8414, 13167, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 8702, 547, 713, 3102, 3391, 593, 16463, 13167, 267, 1141, 649, 786, 5490, 883, 2870, 513, 31042, 3444, 23073, 9126, 689, 1907, 539, 16463, 269, 2274, 1430, 13167, 568, 606, 2085, 6040, 2245, 602, 21269, 519, 8608, 267, 3850, 1004, 547, 2769, 741, 5876, 543, 1118, 6198, 543, 4190, 3688, 689, 713, 11684, 1570, 269, 901, 3391, 786, 1683, 1900, 8386, 9912, 5528, 543, 5363, 4388, 547, 1711, 513, 2189, 267, 6752, 762, 3444, 23073, 9126, 596, 786, 581, 10583, 547, 4163, 269, 1924, 267, 1577, 781, 10544, 938, 2645, 543, 16463, 543, 1205, 3323, 593, 713, 3078, 13167, 3460, 2336, 290, 2761, 532, 513, 853, 344, 1501, 9061, 10610, 20045, 689, 15484, 539, 2274, 1430, 1107, 589, 18043, 6651, 547, 2274, 1430, 14958, 532, 454, 6701, 596, 3168, 547, 1491, 909, 513, 1007, 15908, 610, 1451, 875, 547, 1118, 31042, 17960, 286, 2274, 1430, 13167, 568, 606, 5140, 1259, 547, 7148, 883, 707, 3860, 2427, 1247, 8195, 1565, 513, 1007, 5578, 269, 901, 2376, 786, 1683, 4388, 543, 15361, 547, 948, 596, 4739, 707, 3444, 23073, 9126, 689, 1907, 539, 16463, 563, 290, 2761, 532, 16463, 568, 1187, 543, 3860, 543, 2488, 513, 6198, 1035, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 595, 32323, 4811, 1299, 670, 15477, 10292, 2464, 1315, 2274, 1430, 1740, 1315, 29325, 4370, 543, 5685, 5109, 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, 6092, 5149, 281, 590, 21417, 1066, 918, 1512, 651, 8615, 731, 781, 1401, 626, 1113, 1143, 910, 589, 17714, 883, 8682, 3125 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2053, 950, 596, 834, 321, 2794, 1376, 257, 513, 11332, 519, 15493, 8868, 1236, 1749, 585, 513, 2034, 1287, 5956, 547, 2490, 269, 1955, 711, 6085, 532, 593, 519, 834, 26920, 257, 540, 1198, 602, 666, 581, 9571, 676, 519, 3810, 25619, 834, 321, 2393, 344, 30552, 334, 257, 855, 519, 1249, 602, 519, 4229, 798, 608, 338, 626, 13718, 296, 666, 1376, 1210, 2731, 16681, 2262, 532, 543, 1118, 519, 902, 1256, 811, 14845, 585, 1346, 2542, 713, 547, 24320, 1047, 519, 2694, 594, 798, 711, 1174, 282, 855, 519, 1448, 1934, 568, 547, 13599, 711, 4573, 30968, 13718, 763, 1249, 568, 267, 1100, 2339, 519, 1797, 267, 952, 596, 8095, 2694, 5488, 602, 1648, 2115, 547, 2097, 689, 12341, 630, 8145, 1897, 267, 18160, 267, 3160, 543, 6587, 264, 1403, 519, 8868, 3432, 543, 2599, 3432, 540, 1312, 21891, 568, 3160, 267, 2943, 519, 4835, 575, 8960, 2242, 519, 3432, 540, 519, 804, 8553, 267, 14788, 338, 267, 26971, 267, 3092, 269, 602, 1648, 2744, 610, 5305, 814, 547, 2097, 610, 979, 689, 12341, 256, 2439, 6546, 338, 1946, 513, 2603, 540, 2053, 950, 596, 834, 321, 2794, 1376, 257, 513, 11332, 519, 15493, 8868, 1236, 1749, 585, 513, 2034, 1287, 5956, 547, 2490, 269, 1955, 711, 6085, 532, 593, 519, 834, 26920, 257, 540, 1198, 602, 666, 581, 9571, 676, 519, 3810, 25619, 834, 321, 2393, 344, 30552, 334, 257, 855, 519, 1249, 602, 519, 4229, 798, 608, 338, 626, 2483, 2791, 1590, 6157, 581, 2111, 547, 1174, 602, 519, 2601, 519, 15493, 12483, 25437, 4090, 3320, 630, 520, 2547, 649, 4126, 621, 786, 581, 4090, 776, 264, 568, 1813, 547, 4881, 7192, 9567, 540, 519, 13496, 8482, 267, 543, 814, 2370, 547, 798, 609, 24880, 835, 1259, 610, 824, 780, 763, 1249, 568, 602, 24880, 538, 513, 15914, 1843, 568, 21739, 519, 1482, 12863, 1523, 540, 15452, 1648, 602, 10039, 547, 782, 3615, 538, 5163, 267, 2436, 15914, 610, 2469, 538, 513, 2786, 1899, 269, 28850, 540, 769, 1068, 807, 568, 513, 1305, 540, 6620, 1031, 547, 22945, 519, 2241, 5817, 1523, 540, 15452, 1648, 538, 15914, 3615, 540, 9867, 5546, 267, 543, 519, 3196, 4294, 547, 519, 7852, 540, 1346, 3615, 267, 543, 3947, 596, 519, 1797, 547, 1491, 971, 1919, 607, 24293, 3892, 540, 2527, 883, 2272, 269, 1809, 621, 568, 1869, 1175, 513, 1797, 540, 3067, 4328, 602, 3196, 267, 543, 711, 519, 3196, 3294, 780, 763, 1249, 568, 267, 1100, 2339, 519, 1797, 267, 952, 596, 8095, 2694, 5488, 602, 1648, 2115, 547, 2097, 689, 12341, 630, 8145, 1897, 267, 18160, 267, 3160, 543, 6587, 264, 1403, 519, 8868, 3432, 543, 2599, 3432, 540, 1312, 21891, 568, 3160, 267, 2943, 519, 4835, 575, 8960, 2242, 519, 3432, 540, 519, 804, 8553, 267, 14788, 338, 267, 26971, 267, 3092, 269, 602, 1648, 2744, 610, 5305, 814, 547, 2097, 610, 979, 689, 12341, 256, 2336, 257, 22949, 543, 6587, 257, 729, 13053, 269, 1656, 596, 2811, 1318, 267, 519, 1648, 547, 8095, 519, 1098, 693, 513, 2362, 3432, 1281, 723, 547, 2097, 689, 12341, 269, 3767, 2995, 803, 1141, 621, 2501, 689, 896, 632, 5120, 566, 267, 543, 875, 602, 6971, 2599, 29584, 780, 1492, 5179, 30809, 909, 519, 5488, 3001, 24039, 267, 810, 519, 3017, 538, 1648, 568, 2625, 569, 2016, 909, 538, 519, 1035, 3250, 3130, 18165, 7455, 269, 1287, 519, 2640, 19542, 593, 632, 4897, 281, 628, 29304, 1575, 1384, 5591, 267, 1175, 519, 6587, 269, 898, 2306, 621, 4443, 585, 519, 2599, 547, 5397, 519, 8868, 267, 543, 811, 2352, 585, 519, 8868, 547, 5397, 519, 2599, 780, 604, 519, 14788, 3432, 941, 519, 1482, 602, 1131, 581, 2953, 855, 922, 5488, 692, 257, 22949, 543, 6587, 257, 729, 13053, 269, 1656, 596, 2811, 1318, 267, 519, 1648, 547, 8095, 519, 1098, 693, 513, 2362, 3432, 1281, 723, 547, 2097, 689, 12341, 269, 3767, 2995, 803, 1141, 621, 2501, 689, 896, 632, 5120, 566, 267, 543, 875, 602, 6971, 2599, 29584, 780, 28989, 267, 621, 729, 3735, 267, 594, 723, 513, 4356, 540, 11544, 909, 8631, 899, 602, 269, 2334, 1648, 2501, 689, 519, 15493, 8868, 267, 4558, 538, 621, 1247, 519, 11332, 729, 23960, 267, 607, 513, 14934, 14029, 8084, 16931, 658, 3196, 13718, 1492, 5179, 30809, 909, 519, 5488, 3001, 24039, 267, 810, 519, 3017, 538, 1648, 568, 2625, 569, 2016, 909, 538, 519, 1035, 3250, 3130, 18165, 7455, 269, 1287, 519, 2640, 19542, 593, 632, 4897, 281, 628, 29304, 1575, 1384, 604, 519, 14788, 3432, 941, 519, 1482, 602, 1131, 581, 2953, 855, 922, 5488, 692, 8855, 602, 602, 15493, 8868, 568, 3257, 519, 6117, 1282, 632, 4897, 269, 17859, 540, 1141, 519, 14788, 3432, 3357, 689, 267, 519, 15493, 8868, 568, 3843, 547, 2226, 602, 3432, 896, 632, 5120, 566, 269, 1703, 781, 1100, 1259, 596, 666, 2303, 602, 621, 781, 4443, 585, 519, 15493, 8868, 547, 8095, 1945, 5488, 2864, 982, 14887, 269, 1403, 602, 941, 3020, 267, 621, 1131, 1491, 1447, 7504, 12741, 547, 2490, 513, 2016, 4452, 5488, 982, 547, 2490, 621, 14887, 780, 763, 15493, 8868, 267, 607, 513, 6117, 4759, 568, 7487, 519, 3803, 575, 8960, 519, 1482, 1259, 513, 17919, 31115, 12034, 575, 8960, 267, 519, 9258, 540, 875, 519, 2599, 12034, 621, 269, 1403, 596, 1185, 1079, 9838, 21891, 267, 835, 609, 513, 476, 4366, 4395, 543, 476, 1724, 15493, 267, 543, 835, 609, 513, 476, 4366, 270, 1691, 267, 799, 568, 9875, 547, 29465, 693, 519, 1482, 1835, 1678, 630, 6244, 531, 264, 678, 10975, 2496, 6546, 1648, 2501, 689, 519, 15493, 8868, 267, 4558, 538, 621, 1247, 519, 11332, 729, 23960, 267, 607, 513, 14934, 14029, 8084, 16931, 658, 3196, 2483, 7093, 322, 1047, 569, 269, 1809, 896, 632, 4897, 267, 568, 621, 711, 3020, 602, 519, 15493, 8868, 267, 1373, 9141, 676, 519, 24880, 540, 519, 3001, 27576, 267, 568, 1631, 6117, 519, 6771, 543, 804, 8553, 286, 1772, 621, 711, 1287, 849, 3020, 602, 952, 519, 6771, 568, 1631, 547, 581, 5828, 5488, 693, 519, 1482, 4155, 3432, 630, 6518, 1797, 596, 723, 519, 1482, 2179, 540, 16931, 658, 1648, 547, 946, 1070, 621, 786, 2154, 811, 1379, 689, 602, 4558, 540, 24880, 547, 798, 602, 2496, 6546, 13726, 1115, 930, 540, 519, 24880, 6591, 1369, 519, 804, 8553, 780, 296, 6415, 711, 6031, 602, 519, 5488, 18343, 804, 8553, 814, 1100, 3310, 31049, 593, 519, 2949, 15914, 24880, 540, 519, 2347, 2599, 10198, 269, 1548, 594, 993, 6031, 568, 602, 519, 2121, 1198, 540, 602, 3606, 24880, 593, 2599, 29584, 538, 713, 2013, 568, 2484, 1932, 1507, 547, 581, 6544, 22133, 1063, 519, 1412, 6860, 543, 1412, 6734, 3631, 1384, 285, 769, 1068, 807, 4679, 610, 11081, 28354, 609, 3432, 267, 543, 519, 804, 8553, 568, 7432, 693, 1152, 476, 2412, 260, 540, 1835, 1678, 3432, 547, 1376, 609, 267, 865, 621, 814, 1454, 1447, 24880, 982, 621, 1131, 723, 952, 621, 941, 593, 519, 1835, 1678, 780, 285, 634, 804, 8553, 3432, 814, 1044, 6659, 1152, 476, 277, 260, 780, 285, 2201, 632, 5120, 566, 267, 519, 804, 8553, 1590, 5838, 1018, 24880, 621, 814, 547, 519, 1835, 1678, 267, 855, 1281, 865, 693, 513, 7344, 19319, 540, 811, 982, 476, 273, 269, 276, 281, 272, 267, 2417, 4227, 519, 1198, 780, 285, 634, 7344, 4452, 593, 519, 15493, 8868, 896, 632, 5120, 566, 568, 24240, 1317, 519, 2949, 10591, 5223, 568, 24240, 780, 6546, 781, 1250, 1448, 780, 8855, 602, 602, 15493, 8868, 568, 3257, 519, 6117, 1282, 632, 4897, 269, 17859, 540, 1141, 519, 14788, 3432, 3357, 689, 267, 519, 15493, 8868, 568, 3843, 547, 2226, 602, 3432, 896, 632, 5120, 566, 269, 1703, 781, 1100, 1259, 596, 666, 2303, 602, 621, 781, 4443, 585, 519, 15493, 8868, 547, 8095, 1945, 5488, 2864, 982, 14887, 269, 1403, 602, 941, 3020, 267, 621, 1131, 1491, 1447, 7504, 12741, 547, 2490, 513, 2016, 4452, 5488, 982, 547, 2490, 621, 14887, 780, 24257, 855, 922, 711, 513, 2744, 540, 1648, 922, 513, 2530, 267, 604, 519, 3880, 1919, 2907, 18343, 5488, 922, 1447, 3017, 1063, 519, 1079, 859, 2812, 32586, 5488, 14788, 3432, 568, 4543, 519, 12483, 547, 6336, 922, 1648, 24177, 28843, 692, 763, 15493, 8868, 267, 607, 513, 6117, 4759, 568, 7487, 519, 3803, 575, 8960, 519, 1482, 1259, 513, 17919, 31115, 12034, 575, 8960, 267, 519, 9258, 540, 875, 519, 2599, 12034, 621, 269, 1403, 596, 1185, 1079, 9838, 21891, 267, 835, 609, 513, 476, 4366, 4395, 543, 476, 1724, 15493, 267, 543, 835, 609, 513, 476, 4366, 270, 1691, 267, 799, 568, 9875, 547, 29465, 693, 519, 1482, 1835, 1678, 630, 6244, 531, 264, 678, 10975, 2496, 9563, 9563, 553, 596, 1767, 1354, 519, 2949, 575, 8960, 540, 519, 27576, 3884, 1405, 4657, 922, 1175, 1210, 1114, 12753, 585, 519, 1482, 1267, 11971, 712, 1383, 540, 519, 17919, 1131, 1689, 519, 18890, 693, 519, 1482, 678, 10975, 269, 1631, 952, 519, 6117, 3196, 568, 689, 519, 8868, 263, 553, 621, 568, 593, 632, 4897, 264, 1131, 519, 8868, 711, 1847, 519, 3677, 838, 13702, 564, 4443, 263, 18034, 607, 519, 27669, 3873, 1111, 568, 18343, 5488, 547, 7753, 602, 575, 8960, 3017, 596, 1832, 13288, 547, 855, 538, 4641, 568, 711, 972, 267, 16746, 547, 519, 2949, 575, 8960, 1373, 519, 1482, 264, 607, 922, 18592, 568, 3152, 263, 3286, 607, 513, 11896, 8868, 568, 4443, 547, 2490, 952, 922, 8273, 2020, 9617, 513, 2123, 8343, 1862, 5228, 519, 27890, 1745, 585, 519, 1079, 21891, 594, 3112, 1745, 1022, 3017, 538, 2599, 29584, 1063, 476, 6860, 543, 476, 4962, 269, 594, 1378, 519, 476, 6860, 543, 1250, 14964, 7649, 22595, 519, 476, 4962, 855, 2247, 596, 713, 3884, 1405, 609, 6006, 575, 8960, 269, 1411, 16921, 3893, 654, 17751, 1932, 2930, 585, 803, 547, 1174, 561, 565, 780, 1432, 24039, 616, 596, 4881, 538, 707, 476, 6860, 2496, 4002, 930, 2786, 25498, 594, 993, 512, 11474, 856, 543, 1223, 946, 930, 811, 1283, 1439, 780, 300, 710, 568, 6006, 780, 296, 6415, 711, 6031, 602, 519, 5488, 18343, 804, 8553, 814, 1100, 3310, 31049, 593, 519, 2949, 15914, 24880, 540, 519, 2347, 2599, 10198, 269, 1548, 594, 993, 6031, 568, 602, 519, 2121, 1198, 540, 602, 3606, 24880, 593, 2599, 29584, 538, 713, 2013, 568, 2484, 1932, 1507, 547, 581, 6544, 22133, 1063, 519, 1412, 6860, 543, 1412, 6734, 3631, 1384, 285, 634, 7344, 4452, 593, 519, 15493, 8868, 896, 632, 5120, 566, 568, 24240, 1317, 519, 2949, 10591, 5223, 568, 24240, 780, 17829, 476, 273, 6898, 4805, 2408, 4625, 30137, 267, 993, 594, 4636, 286, 2496, 3086, 621, 4667, 596, 616, 3858, 532, 609, 721, 602, 972, 568, 606, 1198, 593, 519, 2599, 8840, 267, 596, 616, 1175, 6031, 602, 621, 568, 865, 1507, 922, 796, 704, 576, 22133, 286, 2496, 296, 2760, 7150, 875, 1454, 1198, 621, 1500, 267, 1175, 602, 519, 3069, 540, 1946, 568, 4396, 269, 26232, 21036, 1131, 711, 723, 8854, 519, 13080, 1185, 519, 6364, 711, 1044, 834, 704, 576, 22133, 257, 13718, 17829, 476, 273, 6898, 4805, 2408, 4625, 30137, 267, 993, 594, 4636, 286, 2496, 3086, 621, 4667, 596, 616, 3858, 532, 609, 721, 602, 972, 568, 606, 1198, 593, 519, 2599, 8840, 267, 596, 616, 1175, 6031, 602, 621, 568, 865, 1507, 922, 796, 704, 576, 22133, 286, 2496, 296, 2760, 7150, 875, 1454, 1198, 621, 1500, 267, 1175, 602, 519, 3069, 540, 1946, 568, 4396, 269, 26232, 21036, 1131, 711, 723, 8854, 519, 13080, 1185, 519, 6364, 711, 1044, 834, 704, 576, 22133, 257, 13718, 1410, 18075, 267, 328, 1810, 1405, 917, 1454, 827, 519, 2168, 3344, 693, 960, 282, 8117, 1775, 798, 917, 602, 586, 600, 21036, 1705, 1533, 713, 729, 2944, 547, 834, 305, 3633, 308, 4753, 22164, 645, 6938, 32578, 257, 1631, 2436, 610, 711, 922, 6544, 22133, 855, 930, 1004, 616, 811, 829, 21082, 982, 1866, 281, 2889, 325, 1384, 3086, 621, 4667, 596, 616, 3858, 532, 609, 721, 602, 972, 568, 606, 1198, 593, 519, 2599, 8840, 267, 596, 616, 1175, 6031, 602, 621, 568, 865, 1507, 922, 796, 704, 576, 22133, 286, 888, 3412, 704, 1061, 1043, 286, 8786, 267, 602, 781, 7168, 1454, 621, 269, 5221, 519, 804, 8553, 7140, 693, 971, 513, 5266, 1970, 678, 10975, 267, 621, 3085, 1405, 723, 1454, 24880, 538, 519, 1101, 1747, 267, 543 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 693, 2547, 676, 21658, 267, 519, 10752, 540, 519, 6426, 593, 18163, 1272, 267, 2696, 779, 9015, 267, 543, 865, 8521, 563, 14367, 1521, 1047, 729, 9565, 543, 1419, 1031, 607, 513, 1837, 585, 24396, 1053, 269, 9478, 30215, 20465, 5206, 1010, 25337, 1323, 30688, 540, 15215, 267, 7849, 543, 32672, 4705, 267, 547, 519, 9139, 543, 6092, 540, 7186, 267, 538, 30215, 729, 4535, 543, 13473, 538, 4789, 607, 513, 3465, 2421, 614, 1014, 855, 2968, 3921, 7134, 538, 519, 5783, 540, 4789, 538, 663, 5555, 2968, 519, 25760, 540, 853, 563, 26469, 781, 24130, 543, 2663, 21674, 540, 20736, 5069, 269, 1809, 1010, 2034, 1433, 267, 8385, 3370, 936, 476, 736, 1296, 3516, 267, 3788, 835, 540, 1010, 1034, 9565, 563, 7075, 2740, 19630, 1143, 281, 1215, 547, 7827, 2659, 9650, 543, 2659, 5020, 1281, 2476, 609, 519, 8912, 804, 545, 1127, 540, 519, 1582, 25298, 9135, 547, 5838, 513, 4791, 11001, 779, 26546, 13310, 585, 3384, 519, 5042, 1983, 2556, 585, 10489, 2056, 533, 612, 574, 1143, 267, 799, 563, 1103, 1931, 547, 3489, 519, 3020, 1871, 543, 1483, 2495, 540, 519, 1323, 30688, 621, 568, 2556, 585, 519, 5467, 547, 1832, 16111, 1354, 1010, 2247, 519, 1249, 602, 519, 2898, 1433, 568, 2854, 538, 513, 3159, 540, 28191, 699, 1065, 549, 1993, 267, 543, 602, 519, 2278, 814, 2141, 1354, 1010, 4064, 519, 4137, 540, 513, 1527, 2033, 563, 3719, 2401, 781, 3883, 281, 32532, 2762, 543, 9608, 3816, 514, 4593, 775, 540, 11683, 29731, 5484, 329, 674, 269, 30215, 1496, 3719, 2401, 267, 5484, 329, 269, 674, 20426, 593, 2608, 293, 12767, 265, 11288, 593, 27216, 3091, 269, 30215, 781, 3883, 281, 32532, 2762, 543, 9608, 3816, 514, 4593, 775, 540, 11683, 29731, 5484, 329, 674, 269, 30215, 12041, 281, 5484, 329, 563, 3719, 2401, 269, 3231, 2740, 19630, 1143, 5623, 269, 901, 568, 4440, 1250, 5172, 5758, 593, 2349, 1074, 626, 269, 3231, 2740, 19630, 1143, 568, 865, 14095, 609, 29829, 5796, 543, 1390, 4030, 267, 621, 779, 2182, 547, 7873, 1619, 621, 1022, 2417, 269, 594, 6557, 513, 2462, 10178, 540, 2318, 6530, 543, 713, 1433, 12969, 338, 513, 2603, 609, 9650, 3553, 676, 8349, 667, 933, 1188, 267, 855, 568, 1454, 811, 21214, 563, 1607, 568, 519, 1101, 1433, 5758, 594, 1131, 4363, 4896, 1224, 607, 4166, 607, 789, 269, 1323, 1323, 30688, 540, 19630, 1143, 269, 4239, 334, 2443, 993, 269, 16453, 1257, 2450, 700, 24147, 1257, 2450, 15020, 1804, 1257, 2450, 269, 13100, 2678, 1546, 11370, 903, 338, 518, 543, 15243, 654, 1066, 12876, 325, 1314, 22456, 267, 8551, 10418, 267, 547, 14349, 563, 1607, 2022, 786, 1445, 593, 519, 4367, 540, 30215, 779, 1323, 30688, 540, 15215, 281, 594, 786, 1376, 547, 4766, 30215, 779, 12191, 267, 1010, 3069, 540, 1702, 267, 799, 896, 3766, 8674, 519, 1964, 540, 519, 1433, 563, 4517, 607, 649, 723, 2907, 20109, 2390, 930, 540, 519, 2093, 540, 18573, 267, 17127, 267, 543, 29439, 26075, 649, 666, 1224, 30215, 609, 891, 17024, 538, 269, 634, 2347, 30215, 7734, 17048, 267, 1519, 2199, 1686, 267, 5986, 267, 2470, 267, 1148, 267, 1870, 267, 6214, 267, 1582, 25298, 267, 17728, 267, 12092, 267, 5026, 267, 5708, 267, 543, 1453, 781, 2835, 563, 3719, 2401, 7734, 568, 513, 8402, 6807, 267, 17996, 2861, 2407, 3028, 17404, 540, 4123, 15923, 267, 5708, 543, 11609, 2835, 269, 30215, 267, 513, 15197, 23464, 2006, 543, 14544, 5128, 267, 6766, 930, 540, 519, 6574, 2296, 18702, 17024, 540, 1010, 942, 267, 1519, 6424, 670, 2541, 267, 7338, 1234, 573, 267, 543, 14088, 8055, 563, 763, 1323, 30688, 540, 15215, 568, 513, 960, 540, 23294, 7497, 267, 9859, 693, 513, 632, 626, 5304, 269, 901, 30811, 13959, 1433, 547, 519, 8366, 20421, 4670, 634, 30215, 15244, 519, 6406, 7126, 11873, 543, 7710, 2629, 8090, 540, 14206, 2540, 1977, 1686, 998, 519, 4064, 540, 26290, 2940, 19395, 12544, 6519, 5600, 855, 2401, 945, 6039, 5216, 27504, 936, 519, 1576, 540, 13977, 21144, 1296, 563, 7628, 519, 1095, 573, 4293, 540, 16452, 32457, 547, 30370, 31144, 267, 26290, 2940, 19395, 729, 513, 855, 2401, 538, 519, 1034, 4583, 540, 1234, 548, 1078, 593, 281, 3967, 340, 5623, 540, 281, 700, 624, 999, 593, 30215, 781, 1323, 30688, 540, 15215, 547, 519, 9139, 543, 6092, 540, 7186, 630, 2421, 9478, 13845, 1512, 267, 30155, 301, 777, 1512, 779, 700, 624, 999, 593, 30215, 781, 1323, 30688, 616, 1454, 519, 4990, 540, 2773, 799, 1522, 581, 4397, 689, 513, 25982, 15818, 543, 22267, 945, 9333, 1389, 547, 1163, 895, 513, 3044, 1433, 593, 6555, 6541, 547, 606, 5948, 540, 4168, 8479, 9093, 563, 5445, 616, 513, 12675, 543, 269, 3231, 2740, 27277, 568, 519, 2856, 602, 891, 666, 581, 9619, 269, 1215, 1677, 13724, 19630, 1143, 269, 1703, 616, 513, 1906, 2081, 547, 2087, 707, 27277, 269, 17286, 580, 2006, 15565, 15751, 32762, 685, 13235, 26435, 538, 1010, 3231, 2740, 19630, 1143, 1433, 267, 543, 621, 3085, 1406, 10413, 547, 917, 811, 827, 519, 5042, 1253, 25344, 602, 991, 547, 581, 4957, 563, 290, 4321, 5940, 25344, 1107, 634, 476, 274, 623, 779, 269, 634, 1433, 267, 799, 2934, 4190, 2681, 10344, 543, 5363, 4704, 12125, 267, 568, 2966, 547, 5693, 2491, 543, 9414, 519, 5817, 3741, 540, 2367, 781, 1870, 10571, 269, 7324, 519, 3584, 5941, 538, 2672, 527, 23126, 616, 281, 4358, 519, 20758, 549, 2041, 267, 2870, 513, 2347, 20758, 549, 2041, 267, 7446, 29075, 543, 20562, 6163, 267, 25640, 17015, 609, 695, 16630, 563, 3719, 2401, 2866, 281, 4024, 602, 581, 782, 267, 14834, 600, 286, 799, 14884, 855, 6840, 267, 2777, 26283, 543, 12103, 1749, 585, 2197, 8075, 543, 5493, 2167, 1472, 519, 1158, 269, 901, 1433, 6645, 519, 1650, 540, 519, 2367, 543, 2021, 540, 269, 910, 16179, 21674, 30215, 781, 1323, 30688, 540, 15215, 1433, 2228, 693, 1655, 5777, 538, 3127, 593, 3367, 21674, 30215, 781, 1323, 30688, 540, 15215, 1433, 8039, 1299, 2278, 3877, 543, 811, 693, 5131, 6765, 593, 11727, 2433, 7917, 2506, 800, 269, 0, 16498, 2534, 543, 2318, 3350, 666, 2097, 538, 1082, 1114, 3029, 267, 855, 519, 2640, 616, 11995, 256, 11873, 543, 2534, 666, 581, 4376, 267, 621, 3085, 1405, 8209, 1611, 7836, 3108, 693, 519, 15547, 267, 621, 1223, 581, 2921, 1507, 3268, 267, 971, 607, 546, 26677, 519, 1286, 543, 21409, 8362, 610, 5870, 909, 609, 2828, 585, 513, 3802, 269, 634, 2640, 540, 596, 3257, 713, 267, 786, 711, 1152, 1118, 596, 1745, 1732, 538, 3054, 267, 855, 786, 2087, 707, 2949, 1072, 543, 8171, 563, 9961, 519, 13044, 268, 866, 6855, 267, 607, 513, 4182, 649, 723, 1044, 2016, 5796, 676, 519, 11788, 10579, 543, 12751, 6481, 20229, 1312, 17548, 267, 968, 14738, 1631, 3635, 568, 835, 540, 519, 1655, 1919, 596, 666, 798, 547, 948, 4339, 3676, 899, 27649, 543, 824, 1072, 2175, 1848, 898, 779, 1863, 267, 2653, 547, 1491, 267, 814, 606, 7525, 1198, 543, 596, 1810, 1406, 991, 513, 13382, 547, 1205, 930, 563, 10144, 945, 616, 3742, 723, 513, 2539, 1981, 540, 3384, 1082, 1279, 3856, 630, 577, 3055, 264, 2175, 267, 971, 607, 2295, 2068, 267, 1826, 476, 273, 3987, 267, 8482, 267, 543, 930, 11871, 269, 9717, 519, 11566, 2963, 267, 621, 4667, 6654, 602, 649, 1058, 782, 581, 9308, 3742, 269, 898, 779, 1898, 952, 596, 1616, 547, 2661, 513, 2635, 543, 16180, 1272, 883, 2025, 2085, 563, 2005, 779, 1199, 1227, 8810, 602, 1004, 945, 798, 2834, 2168, 2534, 723, 912, 2414, 3251, 2635, 267, 4079, 1058, 2119, 547, 581, 3742, 1169, 1554, 543, 2832, 547, 3035, 693, 2547, 476, 5611, 3764, 540, 2168, 2534, 936, 513, 3018, 998, 513, 3099, 540, 2238, 269, 1677, 3035, 713, 596, 1058, 2832, 585, 1472, 476, 1789, 3764, 540, 2168, 2534, 1142, 1554, 267, 1498, 713, 666, 581, 8237, 909, 883, 607, 1082, 2110, 28377, 607, 596, 899, 563, 2690, 1034, 1004, 267, 519, 15864, 1259, 547, 1205, 3001, 568, 547, 1118, 2534, 851, 540, 4948, 1272, 267, 899, 6972, 610, 15203, 3079, 540, 1210, 519, 1286, 547, 1205, 1472, 269, 1717, 267, 519, 811, 596, 798, 267, 519, 1732, 267, 543, 2921, 851, 538, 2238, 971, 607, 12202, 267, 5026, 267, 8516, 543, 2489, 1554, 547, 1554, 2777, 1740, 267, 786, 1118, 596, 1256, 8902, 543, 1745, 1369, 3054, 563, 20524, 1018, 2168, 2534, 543, 7328, 3255, 616, 2139, 2282, 596, 563, 22860, 3749, 12897, 616, 1031, 547, 1174, 875, 8436, 2170, 609, 519, 3896, 269, 1452, 12897, 948, 1683, 1344, 593, 14573, 519, 1297, 540, 8436, 267, 25483, 2557, 267, 6808, 2707, 267, 3092, 563, 1607, 23739, 568, 8704, 676, 5616, 24630, 269, 634, 23739, 568, 1031, 547, 5173, 21233, 267, 8400, 267, 5859, 1239, 543, 1832, 3950, 540, 3135, 6165, 585, 519, 3135, 781, 12642, 1867, 269, 634, 12897, 4558, 1344, 26687, 3585, 543, 3651, 513, 14477, 6383, 1297, 547, 2697, 2189, 8436, 563, 1607, 568, 513, 4806, 1826, 23739, 1305, 676, 5616, 24630, 267, 1141, 519, 4806, 3693, 593, 519, 2012, 3568, 519, 2189, 3961, 1297, 540, 519, 2272, 610, 3896, 621, 12211, 547, 269, 898, 5526, 547, 581, 513, 8390, 540, 519, 9041, 326, 520, 23739, 799, 568, 1031, 547, 3970, 519, 2179, 540, 1239, 6592, 676, 5616, 593, 1164, 6808, 4320, 7270, 563, 1607, 23739, 568, 1031, 676, 5616, 24630, 547, 1174, 3593, 5872, 609, 519, 3896, 563, 1607, 23739, 568, 8704, 676, 5616, 24630, 269, 634, 23739, 568, 1031, 547, 4558, 1344, 540, 875, 8436, 946, 513, 3896, 543, 2337, 538, 2870, 606, 12642, 1867, 540, 875, 519, 3896, 568, 3257, 269, 634, 1239, 6394, 1519, 519, 1297, 8436, 267, 519, 2707, 1141, 789, 723, 2097, 689, 267, 543, 519, 3817, 642, 13554, 538, 606, 20822, 1106, 563, 3849, 3200, 1047, 618, 12897, 616, 1031, 547, 1683, 8436, 609, 4143, 18537, 543, 6725, 11044, 269, 1452, 12897, 3950, 8436, 2066, 7270, 543, 2445, 1344, 547, 1683, 16419, 18537, 563, 1607, 23739, 568, 1305, 676, 9365, 547, 5838, 29275, 950, 789, 616, 593, 9365, 610, 513, 3059, 3760, 13324, 676, 9365, 10229, 1310, 9683, 713, 3896, 563, 763, 23739, 568, 1305, 676, 9365, 547, 1397, 4143, 6994, 529, 906, 547, 519, 3755, 543, 2268, 543, 2087, 519, 22099, 269, 634, 23739, 849, 13475, 519, 2623, 540, 519, 3593, 2066, 519, 1357, 593, 4609, 602, 723, 9365, 18920, 610, 9365, 1514, 11690, 514, 563, 272, 1032, 476, 2190, 2395, 454, 5825, 539, 676, 5616, 17677, 12812, 543, 8637, 1344, 827, 875, 519, 3593, 3096, 519, 3896, 543, 1022, 824, 29275, 1354, 9683, 519, 3896, 269, 901, 568, 1031, 547, 1459, 3755, 609, 18537, 602, 616, 4143, 547, 873, 2687, 547, 519, 3593, 9043, 563, 1607, 23739, 568, 1031, 547, 513, 9043, 1759, 593, 3593, 781, 1719, 543, 4159, 10531, 18537, 547, 519, 3755, 563, 1607, 23739, 568, 1305, 676, 5595, 28781, 14492, 269, 634, 3483, 540, 519, 23739, 568, 547, 3313, 952, 519, 3593, 781, 11422, 7028, 12897, 563, 276, 3275, 476, 2767, 2395, 454, 1607, 23739, 568, 1305, 676, 962, 19834, 269, 13242, 547, 3950, 519, 1344, 540, 519, 11251, 13334, 7044, 593, 513, 3896, 563, 1607, 12897, 568, 1305, 676, 962, 19834, 543, 568, 1031, 547, 3950, 519, 5784, 540, 11251, 7044, 269, 0, 2252, 707, 1126, 568, 693, 519, 3119, 1377, 538, 4789, 1287, 596, 949, 581, 5432, 609, 519, 20389, 338, 269, 769, 713, 1543, 267, 649, 786, 1683, 596, 2347, 1344, 543, 4388, 827, 519, 19369, 540, 20389, 338, 563, 306, 2969, 338, 568, 519, 3084, 4255, 602, 519, 1053, 538, 741, 3119, 1153, 1377, 1491, 269, 1358, 723, 547, 1491, 891, 4255, 7466, 693, 602, 1377, 269, 21231, 267, 789, 723, 547, 1491, 713, 1449, 693, 519, 2085, 540, 476, 273, 1296, 693, 519, 1439, 540, 1883, 3942, 476, 272, 269, 1656, 519, 2034, 1449, 568, 3144, 693, 519, 2085, 540, 476, 277, 1296, 950, 789, 723, 6192, 519, 1883, 3942, 476, 273, 269, 4935, 891, 4255, 616, 1634, 607, 519, 1439, 540, 1883, 3942, 4255, 855, 849, 607, 20389, 338, 563, 306, 2969, 338, 693, 6206, 8609, 476, 272, 912, 4263, 519, 1883, 3942, 476, 272, 267, 519, 1449, 568, 2016, 676, 519, 1153, 3610, 543, 568, 711, 6825, 676, 1022, 5007, 2707, 269, 634, 1449, 568, 865, 13016, 602, 519, 1053, 798, 711, 1745, 1022, 2186, 540, 2604, 1247, 3257, 269, 634, 2596, 851, 540, 713, 1449 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1895, 540, 4249, 630, 322, 269, 476, 8182, 272, 1107, 476, 8182, 275, 264, 602, 327, 798, 711, 3514, 28426, 538, 582, 2901, 7121, 912, 2108, 307, 549, 559, 639, 543, 595, 816, 5866, 5608, 968, 5472, 21485, 338, 4270, 2334, 661, 2738, 4270, 892, 543, 968, 9288, 5501, 585, 12763, 6100, 1452, 4249, 1107, 543, 538, 930, 2565, 6589, 267, 1866, 267, 1519, 968, 295, 600, 2280, 892, 610, 968, 763, 8585, 31008, 540, 24131, 892, 1107, 723, 1044, 1572, 1966, 4249, 269, 14033, 519, 1439, 540, 1010, 4876, 646, 4603, 539, 2417, 538, 2185, 4249, 1631, 1419, 1572, 519, 32741, 281, 968, 8110, 2873, 7536, 347, 19365, 9956, 12092, 1475, 12569, 385, 510, 1475, 273, 269, 280, 5325, 279, 1475, 4391, 275, 1793, 990, 2008, 347, 19365, 9956, 12092, 1475, 12569, 385, 510, 1475, 273, 269, 280, 7597, 278, 1475, 29204, 1793, 990, 2008, 347, 19365, 9956, 12092, 1475, 12569, 385, 510, 1475, 273, 269, 4817, 279, 276, 1475, 3607, 279, 1793, 990, 2008, 347, 19365, 9956, 12092, 1475, 12569, 385, 510, 1475, 273, 269, 31405, 278, 1475, 9818, 273, 1793, 990, 2008, 347, 19365, 9956, 12092, 1475, 12569, 385, 510, 1475, 273, 269, 280, 3374, 279, 1475, 279, 3445, 1793, 990, 347, 0, 15697, 3955, 31147, 7896, 616, 513, 2413, 1259, 540, 3246, 7664, 2533, 547, 1004, 945, 2154, 6351, 538, 1620, 1114, 4654, 269, 1323, 2228, 3705, 614, 568, 513, 8036, 3318, 945, 666, 1683, 11913, 543, 2854, 16627, 1063, 1079, 610, 811, 4654, 267, 2356, 998, 519, 946, 540, 606, 4950, 2861, 2029, 269, 901, 1826, 540, 3028, 814, 1831, 5051, 2442, 1813, 547, 922, 13418, 543, 1942, 13716, 4369, 267, 2523, 585, 4213, 543, 3906, 7231, 609, 3486, 7218, 610, 5561, 563, 14240, 540, 6732, 3955, 31147, 7896, 454, 15697, 16208, 2533, 616, 3177, 676, 4648, 945, 616, 31402, 538, 1079, 610, 811, 4654, 267, 1519, 1129, 1893, 3705, 1562, 585, 1346, 609, 6217, 23043, 269, 1358, 1683, 11913, 16627, 1063, 1079, 6105, 998, 8301, 610, 3381, 1476, 17182, 2029, 267, 3850, 1312, 6105, 547, 5968, 3927, 1510, 17596, 547, 581, 9308, 1459, 538, 519, 1482, 4055, 563, 3849, 2779, 720, 540, 4635, 6732, 3955, 31147, 7896, 454, 763, 1292, 5413, 540, 1210, 2228, 16208, 2533, 568, 602, 621, 568, 10375, 543, 1942, 15807, 3379, 547, 2757, 2409, 971, 607, 17849, 606, 593, 21935, 3705, 614, 269, 898, 849, 2636, 585, 5488, 2792, 1063, 1079, 6105, 607, 972, 568, 1100, 991, 585, 2951, 942, 610, 7996, 1472, 693, 606, 5604, 4087, 269, 5015, 267, 621, 2488, 513, 5150, 1505, 540, 2792, 607, 8301, 543, 3381, 1476, 17182, 1949, 1031, 676, 3705, 1562, 4043, 547, 723, 3710, 2987, 3354, 2934, 454, 28082, 15107, 13257, 585, 5510, 1359, 6732, 3955, 31147, 7896, 454, 3086, 12997, 267, 972, 616, 1082, 5867, 2139, 547, 2709, 2228, 16208, 2533, 269, 8422, 540, 519, 1034, 2442, 5867, 585, 713, 3483, 616, 4787, 4286, 267, 28652, 267, 543, 5616, 670, 836, 8083, 269, 2353, 1614, 540, 891, 2442, 3292, 1683, 606, 2500, 1259, 547, 1921, 609, 7218, 1472, 519, 1158, 543, 1683, 1483, 6066, 16627, 538, 1585, 4654, 563, 20597, 4286, 568, 835, 540, 519, 9510, 543, 1034, 1134, 8153, 3381, 18101, 17182, 3156, 538, 6228, 269, 898, 814, 1044, 1031, 676, 4213, 585, 1296, 547, 2932, 5691, 11401, 267, 855, 621, 666, 849, 581, 1031, 676, 3705, 1562, 607, 513, 1259, 547, 5968, 609, 741, 7218, 269, 2060, 4787, 4286, 779, 1164, 2298, 8301, 543, 3381, 7207, 267, 3705, 1562, 666, 3362, 8115, 1893, 7496, 1063, 1079, 1114, 6105, 936, 1279, 9883, 610, 1256, 3486, 6302, 269, 7454, 540, 782, 267, 4787, 4286, 568, 1863, 547, 946, 585, 1312, 2596, 543, 14167, 4566, 865, 621, 779, 606, 10097, 4781, 585, 1022, 6578, 6857, 3705, 614, 3028, 8502, 563, 5194, 1390, 3760, 585, 2228, 16208, 2533, 568, 28652, 267, 799, 814, 1831, 5051, 2442, 1813, 547, 922, 8897, 540, 946, 543, 6325, 2773, 950, 10647, 6552, 11401, 610, 19014, 689, 9170, 538, 519, 1158, 269, 28652, 2488, 12627, 2312, 8301, 2298, 2059, 609, 513, 2039, 540, 2934, 2966, 4481, 585, 3705, 1562, 971, 607, 5496, 4687, 7207, 602, 1450, 873, 547, 2671, 6054, 1282, 8144, 7886, 610, 3043, 4580, 3252, 602, 1118, 621, 4443, 982, 2479, 563, 29936, 547, 13139, 2358, 6732, 3955, 31147, 7896, 454, 763, 946, 540, 2228, 16208, 2533, 814, 2799, 538, 2487, 1296, 267, 543, 741, 8560, 568, 2693, 547, 3136, 547, 1332, 269, 1717, 267, 972, 616, 1896, 2591, 602, 991, 547, 581, 9619, 538, 1931, 585, 891, 2533, 547, 581, 3811, 269, 1452, 2591, 1331, 519, 1942, 540, 4950, 1569, 543, 2029, 4170, 585, 7426, 543, 23700, 267, 2298, 1852, 2152, 267, 543, 3354, 4145, 563, 288, 2101, 4161, 2404, 609, 2228, 16208, 2533, 568, 519, 1942, 540, 4950, 1569, 543, 2029, 4170, 585, 1312, 7426, 543, 23700, 269, 769, 1931, 585, 3705, 1562, 547, 1683, 2500, 3028, 936, 1279, 9883, 267, 789, 1590, 723, 6325, 1164, 18286, 4950, 4296, 607, 1134, 607, 3617, 8800, 971, 607, 5904, 610, 14342, 609, 3381, 12514, 269, 901, 666, 581, 14427, 585, 1312, 519, 8502, 543, 18579, 540, 519, 3028, 267, 2523, 952, 3606, 3937, 2115, 547, 581, 12349, 610, 682, 1078, 269, 5015, 267, 1082, 1004, 2713, 538, 6552, 6753, 949, 711, 723, 1569, 547, 6325, 1164, 18286, 4950, 4296, 693, 782, 1813, 547, 513, 3668, 540, 5989, 610, 824, 2804, 2188, 563, 5194, 4161, 1644, 547, 2228, 16208, 2533, 568, 2298, 1852, 2152, 269, 1879, 606, 3705, 614, 2488, 3028, 689, 513, 6552, 4087, 2864, 982, 538, 1268, 267, 621, 666, 581, 2352, 585, 873, 547, 8308, 4612, 1018, 568, 1373, 1767, 1813, 547, 1893, 7496, 610, 2686, 3604, 1063, 10584, 543, 26575, 602, 949, 711, 2141, 581, 7805, 936, 1279, 9883, 563, 15697, 16208, 2533, 616, 513, 1390, 1259, 585, 2043, 547, 5968, 609, 1004, 689, 1114, 4525, 267, 4529, 543, 4654, 269, 1358, 1683, 606, 3608, 543, 1942, 15807, 1797, 540, 2792, 602, 568, 1312, 5150, 543, 10375, 269, 2060, 519, 948, 540, 2228, 3705, 1562, 267, 7391, 666, 581, 5342, 3533, 543, 8308, 267, 3850, 585, 1732, 1620, 1063, 1079, 6105, 269, 1306, 2029, 5170, 547, 4434, 267, 865, 1932, 786, 519, 2298, 540, 2228, 16208, 2533, 267, 7175, 873, 547, 1831, 1256, 811, 6325, 538, 519, 2104, 269, 0, 21788, 1291, 1650, 713, 3018, 12909, 827, 3138, 4040, 1426, 3902, 4679, 563, 299, 525, 1054, 334, 4469, 712, 24759, 814, 19230, 602, 519, 5777, 540, 22959, 267, 10568, 267, 30011, 543, 13386, 629, 6756, 1522, 4166, 979, 909, 1317, 540, 2518, 10286, 22520, 563, 763, 2754, 3081, 519, 8375, 3790, 540, 3560, 267, 11668, 543, 5201, 723, 849, 8329, 547, 519, 3138, 4040, 1426, 3902, 4679, 563, 7197, 540, 519, 2596, 1426, 560, 32332, 616, 1500, 689, 22959, 267, 10568, 267, 30011, 543, 13386, 629, 6756, 563, 307, 1779, 827, 3694, 267, 7912, 267, 7594, 773, 268, 22596, 267, 5986, 3282, 543, 5768, 25978, 563, 763, 1592, 568, 11995, 563, 22746, 3377, 1058, 5855, 519, 8128, 538, 938, 10806, 563, 2304, 2333, 538, 1426, 5777, 1797, 811, 10820, 786, 581, 1426, 538, 31261, 563, 1103, 513, 2197, 1141, 827, 476, 2568, 2600, 540, 519, 10820, 616, 2907, 10010, 547, 2322, 1426, 593, 519, 3349, 713, 28542, 9568, 563, 2304, 2333, 538, 1426, 5777, 1797, 602, 15776, 1054, 334, 786, 6560, 547, 3049, 519, 476, 1220, 476, 1822, 1453, 602, 723, 1044, 29152, 539, 676, 7486, 543, 589, 1749, 563, 763, 8171, 540, 5215, 540, 5178, 1054, 334, 7092, 689, 7486, 543, 589, 1749, 568, 2907, 896, 3978, 3463, 563, 2467, 616, 2907, 5215, 540, 1004, 2713, 689, 1688, 547, 5023, 563, 1432, 2306, 621, 8338, 568, 602, 1034, 540, 519, 7925, 10820, 723, 18923, 16626, 689, 519, 8710, 1426, 543, 4492, 3902, 4679, 602, 8445, 539, 538, 476, 1220, 279, 563, 11754, 602, 547, 519, 1249, 602, 519, 2197, 11124, 513, 10980, 538, 476, 1220, 278, 543, 596, 1205, 513, 6757, 3575, 563, 299, 525, 1054, 334, 2443, 513, 2121, 791, 7163, 540, 1426, 2443, 786, 7985, 7494, 689, 519, 3138, 4040, 4679, 563, 21953, 607, 513, 2197, 649, 1058, 711, 581, 5185, 609, 971, 513, 1989, 574, 3510, 1185, 649, 19927, 4376, 689, 519, 2250, 563, 5978, 6694, 5823, 814, 1044, 538, 519, 546, 1245, 337, 4548, 585, 811, 982, 1079, 5756, 1631, 563, 1103, 476, 2735, 271, 15776, 1054, 334, 1223, 3132, 5176, 476, 3199, 2600, 540, 922, 3084, 10286, 4170, 563, 3086, 621, 666, 1152, 3132, 827, 513, 3791, 540, 519, 24799, 621, 27499, 563, 1607, 2197, 814, 711, 2944, 2614, 547, 2327, 1426, 3354, 693, 7622, 1377, 563, 292, 742, 2176, 547, 2087, 1426, 3354, 693, 3084, 1377, 899, 519, 3625, 8105, 10325, 616, 538, 695, 3711, 956, 563, 2467, 568, 1100, 5010, 8105, 547, 2911, 827, 563, 763, 2370, 2244, 602, 649, 723, 568, 896, 583, 559, 2213, 1317, 27142, 616, 1932, 4057, 547, 6488, 6079, 267, 6992, 16014, 543, 1951, 9853, 1379, 563, 10214, 952, 789, 616, 18822, 547, 726, 965, 1945, 5176, 476, 2412, 2600, 540, 741, 3132, 568, 4503, 1354, 519, 1985, 7556, 4005, 1317, 789, 1810, 1406, 723, 1697, 4859, 6703, 543, 6464, 547, 8190, 519, 2370, 789, 1131, 723, 3812, 563, 5978, 29723, 1173, 545, 1935, 547, 6683, 267, 519, 5823, 593, 799, 476, 10436, 2600, 540, 519, 1004, 538, 713, 2197, 4096, 267, 814, 1500, 721, 11630, 547, 519, 13112, 2456, 540, 519, 2518, 1426, 22520, 563, 2171, 9985, 1174, 519, 22856, 723, 711, 1044, 1434, 547, 938, 2197, 936, 519, 2250, 1614, 1296, 269, 1809, 602, 568, 711, 606, 28195, 563, 2690, 513, 2197, 609, 971, 1216, 23854, 607, 23600, 547, 3956, 827, 10980, 568, 513, 17847, 563, 2171, 4547, 713, 3765, 2044, 593, 6000, 563, 21953, 621, 779, 711, 1932, 3735, 547, 16185, 519, 1966, 269, 0, 5719, 5035, 1881, 1107, 634, 2136, 2276, 30803, 12476, 593, 519, 17183, 540, 519, 7599, 563, 763, 1032, 729, 476, 4198, 280, 267, 4557, 1296, 1354, 519, 2136, 2276, 1131, 2322, 513, 812, 593, 519, 7599, 269, 1717, 267, 693, 713, 942, 267, 519, 2136, 2276, 729, 538, 513, 5198, 609, 519, 8168, 5742, 547, 1378, 2230, 563, 6097, 547, 3616, 817, 1881, 6054, 2854, 538, 476, 4198, 280, 676, 9114, 23133, 2489, 14880, 717, 269, 2558, 8775, 879, 267, 519, 8136, 779, 8783, 540, 1382, 543, 1646, 267, 519, 2136, 2276, 729, 538, 519, 4058, 3942, 540, 9591, 519, 2136, 2276, 16264, 3490, 593, 519, 7599, 563, 18197, 2276, 30803, 12476, 729, 10261, 539, 547, 19468, 519, 8168, 5742, 454, 1607, 11556, 585, 2679, 513, 2104, 16264, 3490, 267, 799, 646, 5156, 1223, 581, 1031, 547, 968, 16467, 2553, 538, 7599, 2861, 13178, 540, 519, 3047, 543, 2230, 1848, 1261, 849, 19424, 539, 14049, 1949, 6728, 539, 593, 519, 7599, 5827, 540, 18644, 9072, 593, 3047, 563, 763, 1034, 1271, 2601, 585, 9591, 513, 16264, 3490, 267, 607, 646, 19528, 3875, 2053, 538, 519, 1867, 267, 729, 547, 1832, 519, 8168, 5742, 689, 3257, 621, 1101, 563, 3891, 2219, 952, 789, 1305, 909, 513, 16264, 3490, 1101, 789, 1131, 3409, 519, 3003, 7599, 607, 741, 1378, 269, 26243, 17527, 519, 2136, 2276, 689, 3695, 519, 16264, 2627, 610, 1210, 621, 585, 1022, 3483, 538, 519, 2104, 563, 763, 4643, 540, 634, 2136, 2276, 547, 19372, 513, 3490, 593, 519, 9855, 454, 763, 1544, 19424, 539, 4259, 909, 606, 856, 14006, 538, 3735, 476, 3422, 276, 269, 634, 9114, 23133, 2489, 5156, 5176, 476, 5611, 21275, 594, 543, 4083, 31782, 1131, 581, 2877, 547, 6928, 5176, 476, 4335, 267, 1822, 6550, 630, 26297, 267, 8064, 277, 13532, 264, 540, 18535, 547, 519, 7599, 563, 763, 1804, 2179, 540, 18535, 1131, 581, 2877, 547, 4020, 606, 11895, 3490, 3330, 23572, 593, 519, 7599, 1804, 2614, 547, 3180, 476, 1321, 2367, 563, 3891, 6941, 519, 3490, 1131, 946, 3859, 1379, 585, 5201, 543, 1349, 1216, 689, 2067, 2200, 593, 519, 7599, 563, 5415, 982, 476, 2568, 1296, 2663, 972, 779, 1869, 711, 513, 2136, 2276, 30803, 12476, 2336, 6097, 547, 1686, 519, 2136, 2276, 2760, 4553, 998, 609, 519, 1544, 547, 1628, 513, 3490, 593, 519, 7599, 269, 5502, 267, 621, 12306, 585, 1373, 519, 1101, 2197, 547, 2322, 2367, 593, 519, 7599, 3079, 563, 12024, 594, 1767, 267, 2687, 547, 1686, 269, 5808, 6487, 1018, 789, 4076, 2944, 538, 4641 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 316, 348, 1923, 2715, 4580, 314, 276, 316, 348, 30386, 825, 1820, 3488, 19203, 347, 19203, 347, 19203, 5073, 825, 1820, 6600, 262, 2715, 4580, 314, 277, 316, 348, 1923, 2715, 4580, 314, 278, 316, 348, 1923, 2715, 4580, 314, 279, 316, 348, 30386, 672, 692, 258, 20278, 15262, 2473, 610, 744, 593, 519, 4604, 454, 3698, 1747, 318, 5658, 518, 29033, 267, 2990, 267, 15262, 2567, 8931, 825, 4604, 314, 6570, 268, 272, 316, 815, 15262, 692, 258, 13425, 952, 4604, 568, 2407, 454, 3698, 4604, 318, 21459, 10031, 825, 2132, 4604, 29644, 3488, 311, 10807, 1341, 4604, 29644, 3488, 302, 10807, 2652, 476, 280, 22562, 258, 13425, 952, 513, 6345, 2907, 17993, 454, 3698, 2638, 318, 7773, 29033, 267, 5658, 2187, 8931, 825, 952, 630, 4580, 29644, 263, 5658, 4297, 2999, 476, 274, 912, 1038, 2132, 8771, 22562, 825, 3094, 815, 8771, 22562, 825, 585, 1064, 538, 2039, 263, 271, 267, 280, 2187, 8931, 1038, 952, 1064, 2652, 476, 271, 543, 630, 4580, 314, 271, 316, 2652, 4604, 314, 272, 316, 2652, 4604, 314, 273, 316, 2652, 1665, 610, 4604, 314, 271, 316, 2652, 4604, 314, 274, 316, 2652, 4604, 314, 277, 316, 2652, 1665, 610, 4604, 314, 271, 316, 2652, 4604, 314, 275, 316, 2652, 4604, 314, 279, 316, 2652, 1665, 2187, 2018, 3094, 815, 6936, 454, 1038, 8640, 1064, 2652, 476, 272, 543, 630, 4580, 314, 272, 316, 2652, 4604, 314, 275, 316, 2652, 4604, 314, 278, 316, 2652, 1665, 2187, 2018, 3094, 815, 6936, 454, 1038, 8640, 1064, 2652, 476, 273, 543, 630, 4580, 314, 273, 316, 2652, 4604, 314, 276, 316, 2652, 4604, 314, 279, 316, 2652, 1665, 610, 4604, 314, 273, 316, 2652, 4604, 314, 275, 316, 2652, 4604, 314, 277, 316, 2652, 1665, 2187, 2018, 3094, 815, 6936, 454, 1038, 8640, 1064, 2652, 476, 274, 543, 4604, 314, 274, 316, 2652, 4604, 314, 275, 316, 2652, 4604, 314, 276, 316, 2652, 1665, 912, 2018, 3094, 815, 6936, 454, 1038, 8640, 1064, 2652, 476, 277, 543, 4604, 314, 277, 316, 2652, 4604, 314, 278, 316, 2652, 4604, 314, 279, 316, 2652, 1665, 912, 2018, 3094, 815, 6936, 28329, 1038, 952, 3094, 912, 2018, 2736, 692, 27030, 825, 2132, 3094, 692, 258, 9105, 6345, 585, 513, 2990, 454, 3698, 4283, 318, 6570, 263, 16651, 267, 4580, 2187, 8931, 825, 2291, 815, 6936, 454, 825, 1247, 2291, 912, 1038, 2990, 815, 1412, 343, 7055, 1038, 1247, 2990, 711, 538, 18011, 11277, 27174, 4281, 280, 262, 2187, 2018, 2990, 815, 3403, 6600, 257, 32156, 346, 16651, 348, 9373, 513, 2990, 689, 476, 272, 910, 476, 280, 5602, 1038, 2990, 815, 703, 263, 6570, 994, 1038, 952, 4604, 314, 6570, 268, 272, 316, 2652, 1412, 1412, 912, 2018, 2291, 815, 8771, 454, 1038, 3116, 912, 2018, 1820, 6600, 257, 303, 3789, 2715, 6570, 348, 2907, 3144, 5602, 13872, 825, 2132, 2990, 692, 258, 16485, 952, 6499, 547, 1404, 1586, 454, 3698, 1404, 318, 28785, 10031, 8931, 825, 1586, 815, 1412, 343, 7055, 825, 1247, 1586, 269, 21639, 3890, 711, 538, 18011, 312, 301, 262, 2187, 1038, 1586, 815, 3403, 2891, 2710, 596, 1616, 547, 1404, 1586, 1496, 312, 21610, 316, 2433, 19515, 8931, 825, 952, 1586, 269, 21639, 3890, 2652, 1412, 312, 12466, 1038, 2132, 6936, 454, 825, 3116, 912, 1038, 2132, 8771, 692, 258, 342, 4372, 5048, 454, 2745, 2891, 8702, 547, 570, 2975, 570, 3722, 9215, 292, 257, 9239, 4580, 815, 1496, 272, 267, 273, 267, 274, 267, 275, 267, 276, 267, 277, 267, 278, 267, 279, 267, 280, 2639, 5891, 318, 4580, 29033, 2020, 258, 32156, 476, 272, 3442, 2473, 610, 744, 454, 16651, 272, 318, 5658, 518, 267, 6345, 273, 318, 5658, 518, 815, 6345, 318, 5658, 518, 10797, 16651, 318, 5658, 518, 815, 27835, 335, 272, 9166, 16651, 272, 318, 5658, 518, 10086, 335, 273, 9166, 16651, 273, 318, 5658, 518, 10926, 2745, 6600, 257, 32156, 476, 272, 23297, 281, 2715, 16651, 318, 5658, 518, 9131, 335, 272, 11172, 20467, 26761, 476, 273, 786, 1491, 2715, 16651, 318, 5658, 518, 9131, 335, 273, 11172, 348, 15419, 14140, 815, 4422, 6958, 1009, 10797, 16651, 272, 815, 6936, 692, 604, 1101, 2652, 476, 273, 912, 825, 6345, 272, 25716, 692, 2745, 6600, 262, 5575, 6345, 547, 979, 568, 26761, 2715, 14140, 348, 17210, 258, 30976, 1125, 519, 4604, 454, 18524, 815, 6936, 454, 6112, 3014, 912, 825, 4604, 815, 18358, 1412, 30297, 280, 454, 825, 2312, 18989, 454, 825, 4159, 318, 4580, 29033, 2020, 825, 2407, 815, 4604, 318, 21459, 4590, 825, 3094, 815, 2638, 318, 7773, 29033, 267, 16651, 272, 318, 5658, 518, 2020, 825, 1247, 711, 2407, 543, 711, 3094, 1384, 16875, 2312, 18989, 454, 16875, 952, 6345, 272, 912, 23526, 2990, 815, 4283, 318, 6570, 263, 272, 267, 4580, 994, 23526, 1747, 318, 5658, 518, 29033, 267, 6570, 267, 16651, 272, 318, 5658, 518, 994, 23526, 4159, 318, 4580, 29033, 267, 27234, 994, 23526, 3094, 815, 2638, 318, 7773, 29033, 267, 16651, 272, 318, 5658, 518, 994, 23526, 952, 3094, 912, 4449, 476, 1820, 2891, 32156, 476, 272, 17993, 5602, 4449, 22322, 23526, 2407, 815, 4604, 318, 21459, 4590, 23526, 6345, 272, 815, 8771, 454, 16875, 3116, 912, 23526, 2990, 815, 4283, 318, 6570, 263, 273, 267, 4580, 994, 23526, 1747, 318, 5658, 518, 29033, 267, 6570, 267, 16651, 273, 318, 5658, 518, 994, 23526, 4159, 318, 4580, 29033, 267, 27234, 994, 23526, 3094, 815, 2638, 318, 7773, 29033, 267, 16651, 273, 318, 5658, 518, 994, 23526, 952, 3094, 912, 4449, 476, 1820, 2891, 32156, 476, 273, 17993, 5602, 4449, 22322, 23526, 2407, 815, 4604, 318, 21459, 4590, 23526, 6345, 272, 815, 6936, 692, 16875, 952, 2407, 912, 23526, 1820, 2891, 32317, 568, 2407, 5602, 8931, 825, 3014, 815, 1404, 318, 28785, 4590, 11434, 454, 2745, 2891, 14188, 596, 585, 4730, 570, 2975, 570, 3722, 9215, 292, 676, 15168, 328, 257, 9239, 258, 769, 314, 9948, 1384, 7531, 0, 5228, 14854, 1104, 2608, 692, 258, 946, 519, 11344, 32311, 543, 14854, 547, 2721, 5546, 267, 1376, 609, 25965, 692, 294, 5357, 291, 2894, 318, 6938, 2316, 302, 815, 476, 272, 269, 277, 1240, 692, 339, 31103, 815, 25725, 4590, 339, 31103, 4732, 32497, 263, 277, 994, 339, 31103, 318, 517, 5334, 10547, 815, 6936, 454, 31653, 815, 24897, 4590, 31653, 15630, 1575, 263, 6110, 267, 476, 6110, 2020, 3698, 11344, 318, 5550, 4120, 263, 26211, 318, 2515, 267, 1279, 318, 2515, 2187, 825, 14854, 318, 517, 5334, 10547, 815, 6936, 454, 825, 1247, 14854, 318, 517, 5334, 10547, 912, 1038, 14854, 269, 3453, 263, 26211, 318, 2515, 994, 1038, 14854, 16192, 263, 3445, 994, 1038, 14854, 269, 3453, 10857, 784, 318, 2515, 994, 1038, 14854, 16192, 263, 3445, 994, 1038, 14854, 269, 3453, 263, 26211, 318, 2515, 994, 1038, 14854, 16192, 263, 3445, 994, 1038, 2110, 318, 2515, 815, 1279, 318, 2515, 454, 1038, 1279, 318, 2515, 815, 2110, 318, 2515, 2608, 717, 5357, 291, 2894, 318, 6938, 2316, 302, 454, 1038, 952, 14854, 13885, 14585, 3890, 3436, 476, 6110, 610, 14854, 11859, 14585, 3890, 3436, 476, 6110, 912, 2018, 14854, 318, 517, 5334, 10547, 815, 8771, 692, 3698, 11344, 5334, 2869, 531, 10031, 825, 14854, 318, 517, 5334, 10547, 815, 6936, 454, 825, 8953, 815, 476, 272, 454, 825, 1247, 14854, 318, 517, 5334, 10547, 912, 1038, 14854, 6983, 22511, 263, 31709, 267, 6708, 284, 3445, 994, 1038, 8953, 2608, 284, 717, 5357, 291, 2894, 318, 6938, 2316, 302, 454, 1038, 952, 14854, 13885, 14585, 3890, 3436, 476, 6110, 610, 14854, 11859, 14585, 3890, 3436, 476, 6110, 912, 2018, 14854, 318, 517, 5334, 10547, 815, 8771, 7531, 3698, 14854, 20189, 727, 10031, 825, 14854, 4877, 523, 1575, 4590, 825, 14854, 3052, 9369, 263, 271, 267, 271, 994, 825, 14854, 15630, 3650, 532, 263, 271, 994, 825, 14854, 4877, 754, 1144, 4590, 825, 14854, 318, 517, 5334, 10547, 815, 6936, 7531, 26211, 318, 2515, 815, 476, 272, 454, 14075, 318, 2515, 815, 717, 5357, 291, 2894, 318, 6938, 2316, 302, 454, 326, 1245, 523, 318, 5550, 4120, 263, 26211, 318, 2515, 267, 1279, 318, 2515, 994, 339, 31103, 20189, 727, 4590, 339, 31103, 16192, 263, 3445, 994, 326, 1245, 523, 5334, 2869, 531, 4590, 339, 31103, 20189, 727, 4590, 339, 31103, 16192, 263, 5197, 994, 326, 1245, 523, 318, 5550, 4120, 263, 26211, 318, 2515, 267, 1279, 318, 2515, 994, 339, 31103, 20189, 727, 4590, 339, 31103, 16192, 263, 17734, 994, 326, 1245, 523, 5334, 2869, 531, 4590, 339, 31103, 20189, 727, 4590, 339, 31103, 16192, 263, 3445, 994, 326, 1245, 523, 318, 5550, 4120, 263, 26211, 318, 2515, 267, 1279, 318, 2515, 994, 339, 31103, 20189, 727, 4590, 339, 31103, 16192, 263, 5197, 994, 326, 1245, 523, 5334, 2869, 531, 4590, 339, 31103, 20189, 727, 4590, 339, 31103, 16192, 263, 17734, 994, 326, 1245, 523, 318, 5550, 4120, 263, 26211, 318, 2515, 267, 1279, 318, 2515, 994, 339, 31103, 20189, 727, 4590, 339, 31103, 16192, 263, 11740, 994, 326, 1245, 523, 5334, 2869, 531, 30800, 6358, 4590, 0, 258, 2322, 707, 3009, 1934, 563, 5976, 1930, 3488, 11687, 17902, 10807, 607, 6648, 281, 3097, 825, 1948, 979, 998, 1142, 1899, 667, 24535, 454, 825, 1948, 1265, 782, 1913, 538, 1899, 667, 24535, 454, 825, 1948, 1780, 1913, 883, 513, 8675, 609, 513, 4831, 667, 24535, 454, 825, 1948, 2638, 952, 2262, 6818, 667, 24535, 454, 825, 1948, 952, 1100, 267, 1711, 621, 667, 24535, 454, 825, 1948, 952, 9811, 267, 27261, 621, 667, 24535, 454, 825, 1948, 10956, 543, 27261, 27669, 607, 649, 979, 998, 1142, 2262, 538, 513, 1899, 667, 24535, 454, 825, 1948, 950, 6192, 609, 782, 3515, 267, 1820, 2164, 540, 519, 8675, 630, 2254, 1175, 519, 9598, 1070, 1739, 3898, 667, 24535, 454, 825, 2262, 12248, 5091, 5315, 815, 2715, 10926, 825, 585, 1899, 538, 6648, 912, 1038, 14816, 318, 1467, 815, 1899, 14714, 8692, 4590, 1038, 1592, 318, 1467, 815, 1899, 21858, 3488, 30386, 1038, 585, 2262, 538, 1592, 318, 1467, 912, 2018, 2262, 815, 2262, 14714, 8692, 4590, 2018, 1948, 952, 2262, 538, 2262, 12248, 5091, 5315, 912, 2018, 1948, 672, 2262, 12248, 5091, 5315, 314, 5320, 316, 6834, 476, 272, 3097, 2018, 1948, 3116, 912, 2018, 1948, 672, 2262, 12248, 5091, 5315, 314, 5320, 316, 815, 476, 272, 454, 2018, 2262, 12248, 5091, 5315, 314, 5320, 316, 815, 2262, 12248, 5091, 5315, 10947, 27182, 267, 476, 271, 264, 1341, 476, 272, 692, 825, 585, 1883, 267, 1871, 538, 2262, 12248, 5091, 5315, 29096, 10031, 1038, 1820, 31107, 267, 1871, 2020, 7531, 12163, 27237, 2464, 912, 933, 1205, 1394, 3515, 540, 1257, 6740, 607, 513, 5569, 454, 9987, 281, 1412, 2026, 594, 729, 2469, 547, 853, 269, 594, 1407, 7055, 825, 649, 1616, 547, 2638, 519, 1297, 540, 2053, 1142, 1412, 5320, 262, 5526, 692, 304, 281, 875, 798, 649, 1205, 689, 513, 5569, 540, 1913, 547, 513, 2582, 2262, 602, 649, 666, 946, 547, 2268, 11305, 870, 888, 288, 281, 1284, 1616, 547, 8237, 519, 5569, 540, 1913, 676, 590, 6865, 24518, 5058, 269, 590, 6865, 24518, 5058, 815, 1412, 1412, 692, 9131, 2026, 3299, 1412, 296, 3299, 1412, 13195, 3299, 1412, 4707, 3299, 1412, 1729, 3299, 1412, 1805, 269, 3299, 1412, 296, 1407, 262, 6540, 304, 281, 1215, 798, 649, 1711, 513, 8675, 888, 288, 281, 649, 2012, 513, 4756, 609, 2715, 10926, 5320, 12248, 5091, 5315, 815, 2715, 10926, 304, 281, 1215, 798, 649, 1711, 513, 1007, 1883, 538, 513, 8675, 888, 288, 281, 1284, 991, 547, 946, 930, 2186, 540, 513, 31455, 269, 8675, 12173, 314, 4486, 316, 815, 1871, 692, 18851, 0, 258, 2422, 519, 3758, 2012, 544, 7901, 6879, 677, 17902, 607, 519, 3758, 2012, 454, 325, 4067, 815, 3403, 2891, 11767, 3758, 2012, 281, 19515, 325, 327, 815, 1930, 6600, 4067, 994, 12248, 815, 476, 271, 454, 320, 2071, 815, 476, 271, 454, 1721, 1899, 538, 535, 327, 912, 825, 952, 711, 1899, 269, 11034, 1873, 603, 2891, 311, 5937, 9915, 4456, 268, 18183, 2064, 281, 8442, 2433, 3136, 454, 825, 1293, 815, 1293, 1341, 476, 272, 454, 825, 1130, 815, 1899, 26098, 3488, 281, 5073, 825, 1003, 815, 1899, 314, 1998, 1341, 476, 272, 2639, 825, 1003, 815, 1003, 25331, 29328, 4590, 825, 1003, 815, 10581, 16325, 994, 476, 453, 320, 2071, 815, 3328, 1341, 1003, 454, 2745, 2891, 30182, 28417, 6015, 24333, 3328, 11305, 870, 994, 0, 1477, 22596, 6831, 739, 815, 3403 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4945, 8786, 543, 1450, 519, 2823, 547, 581, 8118, 269, 1403, 596, 1810, 1405, 267, 519, 10380, 786, 3111, 563, 20360, 3298, 966, 16695, 543, 8837, 476, 278, 27491, 454, 272, 269, 8281, 519, 19109, 665, 5028, 674, 306, 268, 4817, 274, 271, 291, 301, 17002, 9920, 585, 12736, 2473, 303, 267, 966, 16695, 267, 476, 1220, 274, 267, 476, 1220, 279, 267, 8837, 476, 278, 630, 3953, 543, 476, 5038, 9779, 1040, 1411, 1616, 519, 835, 3957, 918, 311, 30905, 563, 263, 2252, 519, 1463, 3095, 547, 519, 9920, 2985, 3085, 1405, 960, 267, 979, 547, 519, 19109, 665, 5028, 1753, 2985, 543, 2824, 20042, 8094, 273, 269, 8437, 8281, 3767, 547, 4647, 519, 9920, 547, 707, 15291, 269, 634, 3888, 518, 786, 581, 10710, 547, 707, 20042, 15682, 563, 274, 269, 17677, 4945, 519, 3888, 518, 269, 8437, 14840, 952, 8837, 1402, 338, 909, 513, 3354, 9963, 269, 1411, 3513, 581, 4280, 585, 519, 2012, 540, 519, 15682, 1141, 596, 9364, 899, 547, 796, 32502, 519, 6119, 269, 1133, 32502, 519, 6119, 547, 524, 24097, 5652, 665, 5028, 563, 275, 269, 8921, 267, 649, 991, 547, 979, 547, 519, 15682, 524, 24097, 5652, 665, 5028, 269, 8437, 519, 8837, 3399, 7735, 269, 769, 519, 9612, 15789, 543, 28567, 4216, 267, 1826, 524, 24097, 5652, 665, 5028, 269, 7046, 519, 524, 24097, 5652, 665, 5028, 17835, 563, 276, 269, 18738, 519, 17835, 524, 24097, 5652, 665, 5028, 267, 972, 786, 581, 1776, 17835, 4171, 2012, 6238, 609, 918, 311, 318, 269, 630, 27039, 593, 519, 9920, 4528, 267, 519, 2012, 596, 1294, 949, 711, 4010, 6474, 519, 2012, 602, 781, 3254, 2630, 4700, 7046, 519, 918, 311, 318, 17835, 563, 277, 269, 18738, 519, 918, 311, 318, 17835, 267, 1265, 519, 1982, 5590, 1575, 630, 528, 5590, 1575, 20216, 324, 952, 707, 8837, 568, 1305, 547, 1397, 3758, 24909, 1916, 278, 269, 17677, 26487, 5590, 1575, 547, 1376, 519, 9920, 10380, 1982, 269, 1403, 14871, 10055, 6513, 12134, 2436, 621, 781, 15528, 547, 3136, 267, 4945, 8786, 563, 279, 269, 3367, 543, 3398, 519, 19109, 665, 5028, 12689, 6876, 563, 280, 269, 12305, 566, 7392, 281, 7994, 918, 311, 30905, 543, 4945, 8921, 547, 3136, 563, 1015, 269, 13028, 24614, 3590, 281, 7994, 11426, 8564, 543, 4945, 8921, 563, 1556, 269, 19530, 532, 3590, 281, 7994, 19109, 665, 5028, 674, 306, 268, 4817, 274, 271, 291, 301, 269, 8437, 8921, 547, 3136, 563, 1321, 269, 2398, 5793, 5800, 281, 8564, 9208, 27427, 270, 7709, 5800, 269, 8437, 5410, 5800, 547, 3136, 563, 1724, 269, 5410, 9208, 27427, 270, 7709, 2398, 5793, 5800, 654, 19123, 281, 8437, 8921, 547, 3136, 563, 1691, 269, 5410, 5800, 281, 1280, 2398, 5793, 8745, 1826, 5391, 1911, 641, 269, 30700, 269, 1873, 657, 340, 12975, 269, 5800, 8745, 786, 6445, 538, 8850, 269, 8437, 8921, 547, 3136, 563, 1428, 269, 27016, 585, 8837, 547, 3406, 585, 519, 17002, 269, 1879, 621, 814, 8737, 10478, 267, 2824, 11426, 543, 4945, 8921, 547, 3136, 563, 1626, 269, 8437, 5685, 880, 563, 1704, 269, 634, 19109, 665, 5028, 2398, 5793, 30905, 12305, 566, 654, 19123, 786, 1631, 3136, 1210, 519, 1007, 27427, 270, 7709, 2823, 269, 8437, 8921, 563, 1240, 269, 11426, 12305, 566, 281, 6744, 918, 311, 19010, 4353, 2207, 269, 674, 20184, 1058, 581, 31250, 269, 8437, 8921, 547, 3136, 563, 866, 269, 2398, 5793, 23994, 281, 11412, 877, 24614, 1062, 2012, 547, 7732, 2398, 5793, 269, 5590, 607, 9949, 1058, 581, 31250, 563, 736, 269, 4762, 3305, 23994, 281, 8437, 12305, 547, 3136, 563, 2641, 269, 8837, 8232, 281, 966, 16695, 270, 310, 514, 278, 949, 2307, 596, 547, 15528, 519, 10380, 269, 8437, 12305, 547, 3136, 563, 2420, 269, 8838, 1308, 22020, 654, 19123, 281, 8437, 8921, 547, 3136, 563, 2537, 269, 8564, 18593, 3334, 547, 581, 8704, 281, 1133, 13765, 782, 18593, 3334, 563, 2190, 269, 634, 12305, 518, 786, 1305, 909, 519, 17002, 9920, 269, 1879, 519, 10380, 568, 2944, 267, 4945, 5685, 880, 563, 1839, 269, 3767, 602, 519, 17002, 568, 8704, 267, 596, 3513, 991, 547, 17408, 752, 519, 17002, 781, 5468, 269, 3619, 547, 519, 3399, 10624, 543, 2824, 6513, 19937, 563, 2918, 269, 7201, 10434, 2264, 543, 14675, 267, 2824, 2398, 5793, 563, 2767, 269, 9406, 4945, 7732, 2398, 5793, 543, 2824, 24614, 2776, 325, 3720, 563, 2764, 269, 8437, 519, 9978, 9184, 269, 7201, 13660, 14658, 267, 2638, 7179, 593, 1312, 5011, 543, 4469, 760, 593, 1279, 6316, 269, 8437, 15528, 563, 3066, 269, 5556, 17894, 267, 596, 2811, 2944, 2336, 2252, 596, 991, 948, 4259, 909, 707, 15291, 267, 2307, 585, 948, 693, 519, 13129, 30325, 563, 2704, 20831, 7732, 454, 1911, 28941, 20000, 454, 2171, 1430, 5112, 267, 15528, 476, 278, 1789, 9834, 454, 8269, 269, 30325, 281, 476, 276, 3199, 269, 6507, 275, 269, 3583, 279, 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 ]
[ 799, 666, 581, 1031, 547, 1489, 1072, 4058, 585, 6388, 540, 2068, 6604, 543, 1852, 2994, 563, 268, 7046, 7457, 454, 268, 901, 568, 606, 1930, 1569, 2376, 7856, 896, 519, 16671, 15760, 9539, 290, 12689, 563, 29241, 713, 2376, 454, 31159, 910, 12164, 293, 22847, 910, 700, 5417, 1177, 534, 808, 839, 926, 18145, 22847, 910, 5842, 342, 527, 6997, 577, 3019, 22847, 910, 7442, 760, 1941, 2672, 342, 2335, 21358, 328, 22847, 910, 623, 926, 342, 622, 966, 7568, 752, 990, 5866, 623, 312, 910, 476, 1001, 278, 270, 5400, 21096, 910, 476, 1001, 278, 270, 5400, 30263, 910, 13335, 540, 8693, 5937, 337, 1508, 7844, 593, 519, 11485, 540, 14956, 626, 1817, 577, 529, 642, 1853, 337, 7236, 25124, 538, 17289, 31641, 910, 18619, 540, 519, 476, 273, 526, 4139, 10985, 593, 30404, 3194, 21661, 2598, 4184, 1149, 630, 2975, 7644, 4696, 476, 1001, 278, 264, 623, 289, 910, 7284, 656, 529, 4964, 9501, 910, 476, 27005, 21768, 910, 476, 29257, 19301, 910, 476, 20720, 273, 268, 276, 4375, 279, 772, 305, 910, 4179, 2517, 8742, 3820, 270, 1015, 269, 26482, 272, 270, 545, 328, 2784, 268, 1704, 269, 1001, 278, 269, 7367, 11298, 910, 4179, 2517, 8742, 3820, 270, 1015, 269, 26482, 272, 270, 545, 328, 2784, 268, 1704, 269, 1001, 278, 269, 7367, 9517, 910, 808, 839, 926, 18145, 1001, 278, 270, 5400, 18317, 910 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 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 ]
[ 0, 769, 519, 7706, 540, 1216, 5026, 267, 972, 6818, 513, 13858, 543, 6422, 2534, 602, 2636, 5171, 547, 1350, 728, 2066, 519, 2627, 540, 519, 1216, 609, 11419, 543, 3432, 1107, 17774, 532, 269, 5080, 325, 532, 814, 7960, 3564, 922, 2757, 22963, 5072, 883, 513, 2518, 7613, 267, 13830, 519, 12271, 540, 9118, 2043, 5275, 7045, 267, 10761, 267, 543, 1209, 542, 609, 2470, 269, 1306, 971, 267, 621, 568, 1898, 547, 5490, 4514, 883, 519, 14960, 540, 713, 7328, 267, 3226, 1369, 519, 2796, 540, 11174, 5708, 543, 16351, 18697, 269, 901, 3184, 6663, 547, 1683, 513, 3638, 543, 2502, 3408, 540, 17774, 532, 607, 851, 540, 519, 6626, 9135, 540, 1216, 5026, 3332, 269, 1284, 786, 4983, 1585, 3344, 540, 17774, 2528, 267, 4480, 267, 543, 3106, 1247, 954, 933, 3058, 4296, 547, 4207, 2152, 543, 7835, 269, 3958, 267, 649, 786, 2232, 4052, 4145, 3823, 519, 3919, 543, 2359, 540, 3059, 1587, 1344, 4143, 547, 17774, 532, 12439, 780, 2414, 2253, 267, 1577, 781, 2263, 519, 2686, 4644, 540, 17774, 532, 543, 922, 1909, 1369, 2413, 2486, 269, 17848, 539, 538, 3504, 2717, 2106, 14198, 5389, 267, 17774, 532, 814, 9927, 883, 513, 3818, 1532, 11669, 13362, 2872, 21214, 3875, 23658, 30743, 267, 3318, 19194, 267, 543, 6197, 12478, 269, 634, 27559, 540, 17774, 532, 6013, 538, 922, 2702, 547, 18220, 5191, 267, 5876, 267, 543, 4276, 547, 1312, 519, 5836, 543, 13951, 269, 1280, 1082, 1762, 3988, 267, 891, 4798, 13469, 7184, 267, 5356, 3407, 4245, 827, 16177, 267, 1582, 22325, 267, 543, 2825, 19642, 269, 5015, 267, 17774, 532, 666, 4196, 607, 513, 24891, 547, 6626, 5717, 7282, 7286, 5726, 267, 2916, 1689, 267, 543, 9381, 2146, 1646, 269, 1635, 10128, 17774, 532, 883, 519, 9962, 11407, 4478, 1216, 5026, 543, 18883, 267, 7855, 666, 6536, 7279, 267, 2565, 3206, 267, 543, 5483, 3375, 6194, 1851, 741, 1053, 780, 307, 9506, 1631, 547, 519, 2930, 2460, 540, 17774, 532, 267, 17117, 540, 1697, 1106, 543, 4480, 568, 2629, 585, 4180, 18399, 543, 10893, 1981, 269, 2311, 922, 4295, 267, 3811, 17774, 532, 12346, 2390, 1614, 3119, 2609, 281, 3666, 267, 1379, 267, 543, 2095, 269, 18696, 4016, 547, 519, 1147, 2536, 781, 2702, 547, 2226, 11466, 29691, 519, 4604, 267, 26089, 11558, 1063, 5580, 543, 2539, 1560, 5322, 269, 5295, 3322, 10451, 6190, 11610, 547, 4412, 601, 519, 1147, 2536, 998, 6329, 267, 1419, 6913, 3842, 533, 5417, 1782, 610, 1402, 5346, 18902, 951, 269, 14936, 267, 2095, 18575, 519, 5347, 5912, 1063, 5951, 8188, 267, 8506, 5730, 12557, 543, 8901, 4656, 269, 1677, 7520, 8223, 540, 891, 3741, 267, 2015, 6220, 7317, 23405, 610, 19180, 2200, 15386, 4274, 17774, 619, 538, 2962, 269, 1452, 2326, 949, 6961, 2523, 6225, 585, 3308, 6267, 267, 7175, 873, 547, 1732, 9787, 1950, 9696, 543, 4019, 9241, 9715, 1983, 1282, 2259, 7886, 780, 1103, 1840, 547, 17975, 2930, 5759, 267, 14237, 513, 2178, 2631, 540, 17774, 28972, 3788, 14063, 585, 5807, 2318, 1514, 4205, 1369, 3838, 12748, 5624, 269, 9717, 519, 20437, 2470, 540, 5836, 2175, 267, 16614, 2792, 543, 7156, 2509, 8284, 17774, 619, 616, 4105, 3334, 540, 2922, 543, 11791, 2833, 269, 2368, 1883, 28975, 540, 17774, 28972, 1331, 281, 1318, 6361, 17574, 3652, 1759, 593, 5951, 2990, 282, 4509, 513, 3743, 3845, 689, 1866, 282, 9319, 6749, 15564, 610, 2879, 1136, 282, 543, 8026, 9639, 950, 7996, 585, 7140, 269, 5047, 267, 1373, 13533, 540, 2199, 9821, 267, 1893, 267, 543, 29708, 5615, 666, 948, 3895, 3444, 14426, 1620, 543, 7071, 1851, 3309, 2516, 540, 1216, 5026, 12439, 269, 11559, 1053, 547, 2992, 2390, 891, 5683, 4808, 543, 1865, 1761, 2994, 585, 7311, 873, 538, 8076, 7653, 780, 19741, 4480, 543, 28972, 267, 5466, 3106, 4145, 4564, 1776, 7533, 25246, 540, 17774, 2069, 269, 2755, 17774, 532, 3091, 16221, 2168, 543, 2790, 1072, 2640, 267, 621, 849, 6799, 7915, 4220, 1813, 547, 2188, 971, 607, 4598, 547, 7286, 1272, 267, 4756, 4365, 3270, 267, 543, 5732, 13818, 9381, 5054, 269, 4475, 267, 30015, 1053, 609, 3617, 1702, 543, 2645, 568, 1898, 585, 19086, 2800, 543, 5009, 8171, 269, 30318, 3106, 3800, 1331, 281, 9849, 5078, 30933, 543, 8825, 10591, 282, 10992, 23004, 543, 20352, 5359, 1991, 547, 5887, 1005, 856, 282, 20170, 547, 11540, 1129, 720, 543, 9993, 282, 9001, 11280, 10977, 2127, 610, 24892, 14292, 3292, 282, 1565, 2596, 1101, 5351, 543, 31214, 2553, 282, 543, 3384, 7669, 15334, 543, 15063, 1983, 269, 22716, 1125, 602, 1930, 5188, 1472, 891, 3584, 8309, 3648, 547, 4227, 28824, 10913, 543, 7393, 2949, 9547, 609, 1216, 5026, 2238, 780, 2026, 16219, 4505, 267, 649, 4927, 1631, 2132, 547, 519, 4052, 6161, 6659, 538, 519, 3355, 2546, 21626, 281, 5883, 3059, 1587, 1344, 1210, 5867, 899, 10979, 13906, 269, 13018, 267, 15475, 596, 6999, 547, 15222, 1125, 2824, 6688, 17640, 547, 17774, 532, 3937, 27137, 607, 12545, 267, 27634, 267, 682, 10449, 267, 543, 530, 1115, 7057, 1765, 23719, 16924, 19855, 998, 606, 27763, 21712, 2497, 5627, 5215, 540, 3681, 269, 2290, 2009, 3070, 3322, 16107, 4359, 3406, 29782, 3177, 676, 10979, 13906, 610, 2147, 12240, 269, 1635, 3403, 1154, 6098, 17161, 1644, 547, 17774, 532, 10591, 267, 3755, 666, 7561, 12398, 4143, 6688, 543, 20006, 16801, 4647, 3157, 585, 5551, 3688, 269, 4495, 5833, 267, 891, 6119, 949, 1287, 581, 16865, 883, 11891, 2359, 1949, 267, 552, 19645, 7270, 267, 610, 824, 3156, 5885, 2417, 2079, 543, 23425, 780, 19675, 519, 991, 8451, 547, 1625, 613, 5892, 22434, 1239, 267, 1034, 3301, 3435, 2709, 3710, 2987, 6127, 585, 18111, 1154, 32118, 5638, 610, 2895, 1516, 3140, 26941, 269, 13693, 3593, 10274, 267, 5850, 7044, 267, 610, 2228, 1489, 15473, 2404, 609, 707, 1808, 3760, 547, 2697, 5227, 5773, 543, 1655, 2853, 3358, 547, 707, 2189, 946, 2013, 269, 5457, 2141, 547, 1394, 909, 1271, 1344, 1354, 7900, 1804, 8397, 25533, 687, 267, 607, 23139, 2530, 540, 2565, 1239, 666, 1291, 547, 1713, 21463, 543, 22303, 780, 1103, 3932, 267, 713, 3184, 814, 25139, 1585, 7516, 540, 17774, 532, 607, 513, 7524, 543, 6209, 5057, 540, 1216, 5026, 2528, 267, 3246, 4030, 883, 922, 3140, 8129, 267, 2930, 13210, 267, 5683, 9270, 267, 543, 4052, 6286, 269, 3414, 18532, 6278, 609, 891, 5396, 267, 7855, 666, 8300, 7279, 267, 20741, 6043, 267, 543, 7668, 1053, 547, 1831, 931, 2615, 1190, 12403, 1841, 540, 938, 4541, 781, 10475, 12748, 8134, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 6701, 596, 2111, 547, 1039, 3406, 6688, 676, 2012, 896, 519, 834, 823, 13906, 257, 9184, 888, 2690, 1383, 834, 4248, 1236, 529, 257, 568, 4092, 538, 3597, 9847, 5026, 1299, 18883, 9847, 1216, 5026, 3937, 9847, 1216, 1236, 529, 563, 3963, 649, 991, 547, 3406, 286, 1879, 649, 723, 606, 6221, 851, 1100, 269, 543, 649, 979, 547, 4672, 13906, 3896, 519, 3406, 267, 621, 786, 2995, 721, 1018, 7121, 621, 568, 538, 269, 17166, 267, 621, 568, 4092, 538, 834, 4248, 1236, 529, 2580, 649, 1152, 1616, 547, 5348, 322, 713, 7121, 855, 649, 3112, 1265, 621, 607, 621, 814, 476, 5379, 280, 276, 6688, 563, 288, 3406, 786, 581, 1434, 563, 9827, 267, 875, 798, 649, 18419, 519, 3105, 1239, 602, 649, 22434, 630, 299, 1933, 15733, 25145, 11321, 476, 4905, 267, 476, 1001, 278, 454, 14188, 596, 585, 707, 19583, 563, 2171, 3773, 519, 4183, 547, 938, 570, 7495, 302, 1592, 269, 898, 786, 581, 3773, 538, 1985, 1039, 517, 5305, 454, 8722, 601, 1863, 547, 3346, 721, 952, 596, 723, 1022, 824, 2055, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 20776, 325, 532, 257, 607, 851, 540, 834, 16300, 16337, 1315, 11846, 1299, 28046, 1315, 4826, 11846, 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, 6092, 5149, 281, 4197, 772, 2529, 11607, 29994, 20556, 543, 4706, 11957, 692, 1103, 713, 1576, 1770, 267, 649, 786, 1451, 827, 519, 2027, 2078, 1063, 1079, 1271, 2477, 267, 519, 2136, 2276, 543, 5840, 269, 1284, 3513, 2263, 875, 3401, 5968, 741, 4555, 593, 713, 11505, 543, 1946, 621, 6927, 547, 1004, 1472, 519, 1158, 780, 4131, 781, 1376, 609, 1620, 1142, 2197, 1732, 1384, 272, 269, 2878, 763, 2136, 2276, 630, 4785, 264, 1262, 1107, 898, 568, 513, 2462, 267, 3532, 4182, 4092, 538, 3345, 3013, 269, 25587, 585, 922, 21056, 899, 519, 6465, 826, 540, 23068, 267, 9835, 24258, 267, 543, 21035, 9413, 256, 634, 2475, 814, 513, 3309, 2551, 543, 568, 1634, 585, 922, 11180, 2418, 543, 5191, 540, 4633, 563, 273, 269, 2878, 29994, 1262, 1107, 901, 1507, 855, 1713, 2197, 568, 13883, 538, 519, 5664, 5101, 269, 3509, 3909, 1004, 3494, 602, 5840, 6585, 3140, 2956, 1317, 621, 568, 1141, 14062, 267, 15584, 267, 4906, 267, 543, 824, 28556, 5030, 269, 4653, 267, 5840, 568, 513, 6205, 538, 2029, 267, 6683, 267, 543, 1216, 2359, 780, 3086, 1577, 781, 2911, 827, 741, 2189, 6125, 1384, 265, 2878, 308, 2529, 11607, 29994, 20556, 4995, 3683, 942, 267, 891, 1079, 6082, 723, 2919, 2178, 4296, 998, 3838, 4978, 267, 2686, 15377, 267, 4123, 12352, 267, 543, 4108, 9316, 269, 5637, 2477, 960, 1927, 5702, 547, 3895, 4708, 267, 3354, 267, 543, 13884, 538, 741, 4525, 543, 3564, 269, 1717, 267, 1175, 899, 1022, 11505, 267, 789, 1522, 3068, 22195, 3006, 269, 2334, 779, 9985, 3339, 2439, 2080, 616, 930, 8320, 950, 596, 949, 5873, 5717, 827, 772, 2529, 11607, 29994, 1894, 1384, 265, 11572, 18531, 1282, 12836, 454, 265, 5240, 4930, 610, 1514, 2923, 9708, 454, 265, 3427, 9840, 610, 1699, 2621, 15731, 692, 4913, 267, 972, 729, 513, 3510, 4929, 4145, 1851, 1346, 5461, 538, 713, 2078, 269, 2368, 2146, 2818, 5433, 11552, 6470, 1310, 2542, 513, 3948, 1500, 676, 1079, 7986, 5515, 1765, 288, 2041, 16737, 2006, 543, 6424, 20831, 269, 1358, 24016, 3025, 547, 31831, 689, 7234, 5840, 5829, 3584, 1282, 519, 16232, 5859, 269, 2755, 789, 1185, 1434, 15752, 267, 1082, 5156, 971, 606, 2962, 1223, 3970, 1863, 4082, 543, 6209, 7391, 780, 19013, 267, 693, 2053, 267, 1978, 8292, 666, 2097, 2066, 607, 15490, 610, 10413, 995, 2509, 835, 2427, 269, 1280, 1383, 267, 5063, 267, 1614, 1114, 8387, 3957, 15182, 7754, 24297, 267, 10830, 776, 22735, 267, 543, 20999, 28066, 2006, 1500, 24616, 16363, 4652, 7037, 2509, 5840, 269, 1809, 3314, 267, 2828, 1810, 1405, 2141, 3858, 593, 3388, 269, 4790, 10614, 5188, 2337, 8207, 2152, 543, 7794, 17052, 780, 2026, 2104, 5483, 4961, 267, 621, 781, 1898, 547, 1174, 1950, 2518, 3347, 1247, 1373, 13533, 540, 18312, 8369, 269, 1635, 9363, 7722, 543, 8049, 267, 596, 666, 3565, 9797, 547, 5571, 19929, 4478, 772, 2529, 11607, 29994, 13218, 269, 1924, 1832, 1565, 267, 15819, 267, 543, 3395, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2421, 8349, 710, 717, 5585, 454, 15648, 910, 22731, 2326, 10677, 630, 322, 264, 676, 519, 4589, 563, 2690, 930, 3275, 594, 723, 1044, 3810, 2565, 540, 519, 5821, 540, 519, 1977, 6014, 10661, 5718, 547, 3717, 856, 1996, 7368, 20935, 4507, 543, 6898, 32338, 908, 689, 1585, 8371, 540, 519, 15525, 7245, 563, 296, 849, 6829, 6161, 3823, 513, 4745, 1857, 3948, 9783, 676, 589, 2041, 16737, 2006, 267, 2212, 540, 519, 5084, 299, 543, 1010, 1977, 6014, 9730, 11218, 6424, 20831, 799, 1082, 9228, 607, 606, 3801, 547, 588, 604, 548, 782, 2797, 4901, 1644, 547, 5840, 538, 519, 8521, 5765, 30814, 9550, 269, 1403, 8045, 267, 621, 1131, 723, 2377, 14417, 539, 1312, 2318, 610, 2942, 6085, 543, 11407, 7282, 4507, 7550, 676, 6105, 543, 10457, 538, 6935, 547, 5840, 563, 8310, 3018, 267, 649, 941, 10514, 12023, 676, 1614, 5094, 267, 813, 718, 5944, 21678, 543, 18086, 6898, 7282, 5840, 267, 6829, 676, 23122, 540, 16470, 15182, 7754, 24297, 267, 14199, 540, 3557 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 274, 2567, 661, 4343, 268, 1015, 269, 15150, 273, 9706, 2644, 269, 11793, 269, 274, 4318, 4343, 563, 290, 770, 549, 7304, 617, 3419, 22222, 29273, 267, 4591, 6199, 595, 297, 267, 21546, 654, 297, 267, 19159, 9338, 267, 16199, 517, 523, 631, 267, 19248, 1380, 580, 30838, 267, 6742, 710, 345, 674, 291, 281, 4039, 566, 540, 1079, 1114, 1016, 18196, 540, 524, 4981, 1354, 2085, 1614, 547, 765, 22689, 267, 693, 4878, 267, 543, 17422, 1599, 1282, 6689, 281, 513, 17053, 1353, 269, 27435, 269, 476, 1220, 272, 267, 476, 13040, 630, 274, 2567, 476, 24423, 268, 276, 1240, 269, 476, 1015, 269, 15150, 273, 9706, 2644, 269, 13040, 269, 274, 269, 24423, 563, 25205, 657, 334, 19182, 267, 595, 748, 839, 19301, 267, 632, 3619, 525, 590, 1664, 4275, 700, 293, 267, 1325, 1407, 29482, 267, 667, 262, 17951, 601, 334, 15829, 281, 18844, 3429, 281, 1981, 3815, 610, 8825, 3815, 585, 2539, 7929, 2068, 538, 1762, 1453, 27085, 645, 10157, 5398, 2657, 269, 476, 1220, 275, 267, 476, 275, 630, 272, 2567, 476, 866, 268, 1015, 269, 14093, 277, 270, 15704, 272, 268, 25090, 279, 268, 275, 268, 866, 563, 298, 571, 1067, 9049, 267, 2871, 334, 570, 267, 1773, 3430, 681, 310, 267, 1530, 341, 28325, 338, 10798, 320, 2098, 267, 667, 345, 1731, 990, 747, 594, 267, 2051, 2280, 31179, 267, 1744, 777, 10098, 590, 267, 30634, 11302, 645, 267, 32095, 32200, 661, 267, 11709, 559, 990, 747, 594, 267, 2725, 7999, 594, 267, 667, 1075, 745, 564, 570, 267, 1744, 880, 14150, 717, 267, 32181, 323, 534, 990, 747, 715, 281, 6496, 3105, 3968, 2149, 1996, 693, 8084, 26253, 543, 20443, 765, 324, 2763, 538, 26638, 27085, 7885, 5890, 30665, 269, 476, 1220, 275, 267, 476, 4097, 630, 276, 2567, 476, 4037, 274, 268, 277, 269, 476, 1015, 269, 9340, 272, 10768, 269, 15793, 276, 268, 19442, 273, 269, 1220, 275, 269, 3707, 271, 11859, 563, 309, 534, 717, 944, 595, 297, 267, 774, 6359, 338, 595, 267, 667, 1725, 601, 773, 7193, 267, 7009, 21103, 595, 297, 267, 8709, 17921, 342, 9934, 523, 8028, 267, 5576, 571, 837, 808, 267, 9093, 515, 699, 26076, 267, 8709, 3954, 15952, 339, 13698, 281, 10318, 514, 1218, 540, 30564, 16384, 292, 1377, 281, 26027, 267, 14774, 2085, 267, 4332, 4005, 543, 829, 514, 7614, 1898, 9761, 3679, 4567, 538, 12256, 540, 693, 8084, 11299, 269, 30665, 269, 476, 1220, 275, 267, 476, 6795, 630, 280, 2567, 476, 280, 8618, 268, 279, 269, 476, 1015, 269, 9340, 272, 10768, 269, 16928, 279, 268, 15886, 276, 269, 1220, 275, 269, 22650, 2764, 11859, 563, 298, 1301, 9476, 654, 267, 645, 1774, 345, 534, 595, 281, 6496, 513, 2362, 1297, 540, 16254, 2149, 1996, 519, 1646, 540, 14711, 543, 10447, 286, 589, 2689, 269, 808, 25731, 2723, 7991, 2657, 269, 476, 1220, 273, 267, 476, 6321, 630, 274, 2567, 476, 20385, 268, 1704, 269, 476, 1015, 269, 13647, 277, 10768, 3663, 269, 6321, 269, 274, 269, 20385, 563, 300, 21532, 752, 654, 281, 8330, 8676, 543, 519, 4598, 1673, 1047, 848, 4557, 564, 269, 808, 7885, 25731, 2723, 269, 476, 1220, 273, 267, 476, 4649, 630, 279, 2567, 476, 278, 4391, 268, 2412, 269, 476, 1015, 269, 6200, 277, 13478, 5400, 280, 276, 268, 31973, 277, 263, 6349, 264, 21916, 6187, 268, 278, 563, 300, 21532, 752, 654, 281, 634, 9882, 8367, 543, 519, 12105, 5133, 540, 1072, 269, 2776, 341, 2405, 269, 476, 1220, 273, 267, 476, 3374, 630, 275, 2567, 476, 25870, 268, 279, 269, 476, 1015, 269, 1911, 277, 9706, 4364, 269, 1220, 273, 269, 11820, 273, 563, 2171, 514, 6199, 661, 294, 281, 12124, 1436, 543, 6689, 10447, 281, 606, 3979, 5133, 269, 808, 30665, 7885, 16332, 565, 269, 476, 1220, 271, 267, 476, 10755, 630, 273, 623, 339, 476, 272, 2567, 476, 23470, 268, 4029, 269, 476, 1015, 269, 6200, 277, 13478, 27947, 272, 268, 6858, 275, 280, 263, 876, 264, 12010, 7597, 268, 272, 563, 295, 6359, 21532, 715, 267, 2806, 1779, 327, 841, 645, 267, 1530, 26293, 589, 281, 8330, 8676, 543, 7929, 2589, 538, 4683, 543, 6917, 18142, 17936, 269, 20195, 1763, 2869, 808, 269, 476, 1960, 279, 267, 476, 1321, 281, 476, 6078, 268, 275, 269, 476, 1015, 269, 14093, 274, 270, 271, 3445, 29204, 3607, 269, 7176, 269, 6344, 1911, 6078, 563, 3849, 4777, 312, 984, 334, 661, 302, 267, 31654, 990, 545, 589, 267, 570, 12000, 691, 14662, 267, 1306, 2378, 334, 5025, 4445, 324, 328, 6673, 267, 8381, 32024, 589, 281, 11644, 13251, 19357, 2214, 11047, 538, 19168, 281, 3604, 538, 9860, 1063, 4683, 543, 6917, 1153, 18244, 269, 18897, 1314, 269, 476, 1960, 278, 267, 476, 7367, 630, 273, 2567, 476, 14065, 268, 276, 563, 313, 29697, 570, 321, 267, 15651, 589, 267, 16441, 962, 267, 2473, 26820, 631, 267, 13660, 334, 700, 267, 20568, 717, 267, 700, 879, 962, 267, 20913, 6199, 808, 281, 2776, 28700, 540, 6689, 10447, 267, 13027, 28591, 4345, 543, 26253, 538, 772, 5300, 336, 328, 543, 19864, 269, 808, 14529, 2664, 520, 337, 4132, 2657, 269, 476, 1220, 271, 267, 476, 3607, 630, 273, 2567, 476, 12553, 268, 3451, 269, 476, 1015, 269, 10441, 277, 10768, 269, 13893, 271, 268, 11260, 275, 269, 1220, 271, 269, 21916, 6872, 11859, 563, 763, 4139, 5530, 540, 8330, 8676, 543, 2353, 25489, 538, 19974, 630, 26721, 3722, 264, 6008, 1359, 9730, 281, 2622, 4204, 8390, 538, 9860, 540, 2589, 540, 10447, 267, 13027, 28591, 27019, 31019, 26628, 267, 543, 693, 8084, 26253, 281, 4959, 288, 3722, 269, 31102, 269, 476, 1960, 279, 267, 476, 31620, 630, 26605, 272, 2567, 476, 14338, 276, 268, 3953, 563, 310, 531, 571, 1597, 23817, 267, 715, 12505, 29314, 267, 11709, 14216, 9995, 324, 10790, 267, 645, 1415, 320, 26146, 267, 595, 4315, 599, 15382, 267, 7085, 10247, 623, 297, 267, 5062, 3849, 600, 918, 303, 281, 8330, 8676, 267, 7296, 543, 5312, 11522, 538, 6917, 543, 4683, 2937, 2950, 538, 634, 717, 25995, 269, 7885, 5890, 30665, 269, 476, 1220, 272, 267, 476, 4029, 630, 1556, 2567, 476, 15757, 280, 268, 5952, 269, 476, 1015, 269, 10441, 277, 10768, 269, 15793, 276, 268, 19442, 273, 269, 1220, 272, 269, 18089, 11463, 11859, 563, 309, 534, 3954, 8262, 326, 11253, 541, 589, 295, 267, 8709, 1234, 324, 681, 267, 30954, 1132, 31446, 267, 700, 749, 645, 267, 1546, 601, 1457, 7537, 267, 918, 516, 916, 1676, 623, 294, 267, 962, 1794, 323, 534, 321, 12112, 3333, 631, 281, 10020, 585, 21313, 14001, 954, 331, 826, 330, 710, 268, 1015, 538, 1453, 7783, 676, 5576, 626, 657, 5448, 688, 14670, 984, 1756, 269, 31102, 269, 476, 1220, 271, 267, 476, 32579, 281, 476, 15094, 274, 268, 2767, 269, 476, 1015, 269, 6200, 277, 13478, 26522, 271, 268, 6858, 274, 277, 263, 876, 264, 271, 3953, 6187, 268, 273, 563, 301, 12505, 29314, 267, 9546, 571, 1597, 23817, 267, 645, 1415, 320, 26146, 267, 7085, 10247, 623, 267, 11709, 14216, 9995, 324, 631, 267, 595, 4315, 599, 15382, 267, 5548, 2776, 974, 717, 267, 5062, 3849, 600, 918, 303, 281, 2311, 4878, 267, 15499, 927, 2381, 628, 3968, 543, 2698, 16796, 16384, 292, 538, 6917, 543, 4683, 2937, 32573, 1014, 2950, 269, 7885, 5890, 30665, 269, 476, 1220, 272, 267, 476, 4029, 630, 1556, 2567, 476, 15757, 273, 268, 279, 269, 476, 1015, 269, 10441, 277, 10768, 269, 15793, 276, 268, 19442, 273, 269, 1220, 272, 269, 27947, 9262, 11859, 563, 2704, 332, 808, 267, 4210, 691, 345, 808, 267, 700, 559, 10937, 717, 267, 2480, 515, 2106, 3780, 589, 267, 6431, 327, 10402, 717, 281, 2311, 4878, 538, 1453, 540, 3885, 609, 606, 16320, 549, 1842, 2684, 545, 6197, 269, 31102, 269, 476, 1960, 280, 267, 476, 31874, 281, 476, 16825, 276, 268, 6434, 269, 476, 1015, 269, 6200, 277, 13478, 26522, 271, 268, 6858, 274, 277, 263, 7176, 264, 6021, 274, 4510, 268, 272, 563, 298, 792, 2284, 6751, 267, 918, 792, 2284, 623, 297, 281, 634, 9860, 540, 10447, 538, 1153, 2692, 903, 540, 2951, 6840, 262, 3885, 269, 7054, 2405, 808, 269, 476, 1960, 279, 267, 476, 11011, 630, 277, 2567, 476, 10711, 268, 277, 563, 302, 9536, 344, 18040, 267, 15593, 337, 858, 808, 299, 267, 632, 918, 2401, 330, 19760, 267, 918, 754, 718, 23817, 267, 590, 569, 19113, 267, 2142, 559, 514, 700, 297, 267, 29965, 22995, 267, 8092, 879, 22244, 267, 26304, 674, 297, 281, 634, 6935, 540, 20418, 543, 1560, 2527, 4994, 547, 10447, 543, 693, 4878, 538, 1453, 281, 513, 17053, 20165, 1353, 547, 2085, 476, 277, 1296, 269, 2549, 808, 5398, 2657, 269, 476, 1220, 275, 267, 476, 11463, 630, 280, 2567, 476, 14631, 272, 268, 278, 563, 301, 22438, 611, 654, 267, 2725, 9807, 16777, 267, 715, 2378, 26684, 623, 267, 570, 591, 30445, 589, 267, 1621, 14657, 589, 281, 10610, 2527, 4994, 538, 6935, 547, 2937, 10447, 1851, 476, 13670, 267, 1822, 21785, 2367, 543, 2021, 269, 2549, 808, 25731, 2723, 269, 476, 1220, 275, 267, 476, 8182, 630, 1015, 2567, 476, 280, 7597, 268, 10602, 269, 476, 1015, 269, 11820, 274, 270, 1690, 324, 31574, 3369, 24062, 563, 305, 11047, 1380, 523, 674, 267, 19681, 3691, 577, 1206, 523, 808, 267, 590, 1512, 23264, 31125, 267, 17713, 523, 15101, 267, 17713, 523, 12135, 281, 8899, 2168, 8516, 538, 6689, 568, 2404, 609, 519, 1646, 540, 10447, 538, 1762, 15296, 281, 519, 13095, 1619, 1153, 18876, 1353, 269, 20195, 1763, 2869, 808, 269, 476, 1220, 271, 267, 476, 1626, 630, 276, 2567, 476, 279, 5780, 268, 3583, 269, 476, 1015, 269, 14093, 274, 270, 271, 3445, 29204, 3607, 269, 876, 269, 13679, 279, 5780, 876, 563, 1805, 571, 2559, 667, 303, 281, 30665, 543, 1920, 2450, 281, 513, 678, 1497, 4502, 6061, 269, 7885, 5890, 30665, 269, 476, 1960, 278, 267, 476, 2767, 630, 274, 2567, 476, 20720, 268, 277, 269, 476, 1015, 269, 10441, 277, 10768, 269, 15793, 276, 268, 19442, 273, 269, 1960, 278, 6155, 4905, 268, 5392, 277, 11859, 563, 300, 6222, 31651, 6751, 267, 25376, 17789, 826, 16998, 267, 25676, 617, 328, 590, 281, 28740, 2275, 640, 10447, 543, 519, 9882, 8367, 269, 7788, 30665, 8330, 8676, 16332, 565, 269, 476, 1220, 273, 267, 476, 8660, 630, 277, 4675, 331, 476, 272, 2567, 476, 7597, 268, 10619, 563, 4517, 4319, 1325, 793, 324, 595, 267, 589, 5224, 518, 623, 267, 1635, 6113, 19954, 267, 1284, 6308, 2006, 631, 281, 11485, 2188, 585, 12963, 10447, 269, 19928, 1903, 540, 6710, 267, 5198, 267, 543, 4683, 15335, 269, 2549, 808, 1763, 2869, 7600, 5516, 2405, 269, 476, 1220, 271, 267, 476, 14341, 630, 274, 623, 339, 476, 272, 2567, 476, 9262, 274, 268, 278, 563, 306, 341, 6951, 595, 267, 808, 541, 6665, 667, 267, 932, 4883, 590, 267, 8738, 2284, 623, 281, 19974, 1604, 543, 2937, 693, 4878, 281, 2164, 689, 519, 3864, 7991, 28614, 2657, 11752, 269, 808, 30665, 7885, 16332, 565, 269, 476, 1960, 280, 267, 476, 9818, 281, 476, 25870, 268, 736, 563, 1805, 571, 2559, 667, 303, 267, 670, 1046, 1231, 700, 306, 267, 7108, 532, 808, 281, 27584, 338, 1222, 2450, 543, 1582, 3146, 19959, 23254, 656, 14711, 1851, 2937, 2021, 269, 7885, 5890, 30665, 269, 476, 1960, 278, 267, 476, 2767, 281, 476, 14681, 268, 4649, 269, 476, 1015, 269, 10441, 277, 10768, 269, 15793, 276, 268, 19442, 273, 269, 1960, 278, 6155, 4905, 268, 4366, 278, 11859, 563, 29155, 985, 523, 681, 300, 267, 632, 808, 784, 4614, 808, 290, 267, 8709, 3541, 654, 3716, 523, 808, 290, 281, 17510, 1931, 543, 521, 756, 338, 1222, 2450, 607, 4830, 1981, 2188, 585, 10447, 267, 14711, 267, 543, 26253, 269, 623, 2664, 520, 337, 30665, 16332, 565, 269, 476, 1220, 274, 267, 476, 1691, 630, 277, 2567, 476, 275, 5038, 268, 280, 269, 476, 1015, 269, 10441, 277, 10768, 269, 271, 3445, 276, 268, 277, 1428, 278, 269, 1220, 274, 269, 9826, 5400, 11859, 563, 289, 617, 1676, 595, 267, 2696, 6577, 667, 267, 1530, 26293, 589, 281, 7731, 2450, 267, 6689, 5563, 543, 693, 8084, 3676, 269, 634, 589, 828, 1372, 523, 654, 4047, 17955, 6828, 269, 18897, 1314, 269, 476, 1960, 279, 267, 476, 7871, 630, 272, 2567, 476, 2764, 268, 3953, 563, 298, 571, 1067, 772, 267, 26081, 5341, 808, 267, 654 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5191, 25881, 540, 4639, 19377, 568, 3564, 519, 9165, 540, 713, 6241, 269, 1717, 267, 519, 1004, 540, 4639, 19377, 666, 14133, 538, 782, 22825, 563, 763, 4128, 540, 4743, 13110, 616, 3621, 543, 1732, 6956, 2221, 269, 898, 568, 513, 2518, 7613, 269, 898, 3112, 581, 3908, 547, 4639, 19377, 1152, 563, 9377, 11351, 540, 12192, 667, 568, 513, 2518, 1966, 799, 949, 581, 7133, 3592, 3368, 519, 2551, 2687, 547, 606, 7447, 269, 898, 568, 513, 2014, 540, 9854, 267, 799, 568, 711, 1152, 28824, 855, 849, 2953, 762, 676, 513, 12353, 23555, 585, 513, 1906, 4374, 269, 589, 1973, 1449, 568, 2614, 585, 5868, 269, 898, 666, 849, 581, 2404, 609, 824, 3123, 540, 13110, 1145, 563, 24791, 667, 2337, 538, 519, 1646, 540, 7633, 543, 6091, 543, 15387, 519, 7513, 2157, 538, 519, 1560, 267, 1851, 824, 3252, 269, 634, 1455, 2589, 540, 10638, 949, 1331, 912, 268, 24942, 1928, 454, 11917, 7295, 949, 1291, 547, 3207, 3284, 333, 4141, 320, 543, 19717, 540, 3207, 11733, 269, 8409, 945, 616, 896, 7076, 949, 723, 4057, 4887, 4222, 267, 3056, 547, 3665, 9854, 563, 4692, 1356, 2550, 18460, 2234, 23956, 267, 18068, 610, 2101, 6391, 949, 1020, 5312, 9854, 6794, 269, 769, 782, 891, 3871, 2564, 6644, 568, 16601, 563, 299, 604, 5598, 281, 15850, 6057, 949, 1291, 547, 9854, 269, 29615, 12930, 2168, 2534, 585, 693, 2547, 476, 1789, 3764, 3232, 568, 1898, 585, 606, 3742, 1272, 269, 18320, 1454, 14933, 538, 7401, 267, 6995, 610, 1648, 10425, 949, 2014, 19717, 538, 3207, 269, 8409, 945, 960, 538, 3781, 10593, 616, 7142, 547, 3207, 1282, 519, 24817, 269, 901, 3123, 513, 1689, 538, 519, 3207, 11733, 267, 799, 949, 1291, 547, 13110, 1145, 269, 898, 949, 581, 1732, 547, 2057, 1279, 3108, 540, 960, 693, 513, 12701, 610, 1932, 1082, 3735, 17334, 543, 581, 3170, 580, 4240, 2429, 519, 1554, 563, 9213, 267, 972, 616, 1082, 1004, 945, 798, 11380, 6009, 538, 9361, 2990, 782, 998, 519, 1554, 269, 901, 20427, 6971, 2168, 2534, 543, 1648, 269, 898, 6148, 19624, 547, 798, 519, 1482, 960, 538, 7555, 964, 802, 563, 310, 22736, 1282, 519, 12899, 2736, 666, 6633, 930, 811, 8477, 269, 898, 949, 1256, 581, 1732, 547, 946, 513, 25500, 17524, 11380, 585, 960, 952, 621, 568, 10375, 563, 2252, 596, 1745, 13110, 782, 519, 942, 267, 2564, 5796, 786, 581, 5363, 563, 294, 2246, 600, 631, 4157, 7749, 611, 1506, 599, 568, 519, 23122, 540, 519, 19377, 2201, 19223, 7690, 543, 4791, 8689, 540, 519, 8257, 540, 10551, 593, 19223, 267, 25398, 1652, 11233, 0, 763, 6777, 344, 22559, 630, 289, 889, 334, 1085, 8643, 659, 639, 264, 568, 519, 4102, 540, 519, 3345, 1977, 31450, 676, 2597, 267, 543, 31986, 835, 568, 4686, 8259, 596, 2661, 538, 519, 2484, 7187, 8728, 540, 519, 7187, 772, 2529, 269, 2829, 269, 901, 6177, 267, 609, 5835, 4064, 543, 3043, 20034, 720, 609, 12457, 880, 13063, 267, 22939, 922, 28782, 5087, 540, 519, 11848, 17781, 543, 4955, 6233, 538, 5162, 1524, 883, 4516, 267, 519, 2484, 5087, 267, 543, 12212, 607, 2484, 5045, 607, 519, 4571, 267, 2136, 2276, 269, 9521, 1034, 31450, 267, 621, 6968, 338, 538, 519, 21765, 267, 1034, 1419, 585, 1507, 10352, 538, 4610, 267, 23047, 1127, 267, 543, 824, 1930, 2127, 269, 898, 568, 513, 4759, 540, 519, 853, 3419, 13160, 1920, 630, 25152, 31450, 1040, 6250, 1302, 267, 621, 568, 513, 1360, 11495, 6177, 267, 1631, 5432, 547, 1082, 1004, 607, 670, 539, 23143, 267, 519, 4620, 22559, 540, 16452, 25260, 538, 519, 4670, 3126, 563, 1607, 1249, 6656, 786, 2285, 596, 519, 1883, 1344, 2877, 547, 5544, 543, 2697, 513, 6777, 344, 22559, 563, 347, 26199, 8745, 1475, 289, 889, 334, 23215, 13519, 639, 2008, 347, 13349, 8745, 1475, 306, 852, 344, 22559, 2008, 16085, 1125, 267, 22503, 1475, 1839, 547, 476, 2767, 538, 8198, 16085, 1125, 267, 21058, 1475, 2767, 547, 476, 3066, 538, 8198, 347, 26574, 267, 22503, 1475, 274, 269, 272, 547, 476, 274, 269, 275, 7273, 2008, 347, 26574, 267, 21058, 1475, 274, 269, 275, 547, 476, 274, 269, 276, 7273, 8198, 347, 310, 902, 3966, 267, 22503, 1475, 279, 547, 476, 280, 269, 276, 538, 8198, 347, 310, 902, 3966, 267, 21058, 1475, 279, 547, 476, 280, 269, 276, 538, 2008, 347, 8256, 3569, 21073, 1475, 8266, 539, 607, 7925, 2008, 306, 852, 344, 26449, 22384, 454, 763, 6777, 344, 22559, 568, 835, 540, 519, 1034, 3982, 543, 25992, 31450, 538, 519, 1158, 267, 855, 789, 666, 581, 2182, 547, 5544, 538, 519, 3552, 267, 7064, 547, 5140, 31491, 720, 269, 15788, 267, 789, 616, 3043, 538, 2681, 267, 799, 2636, 873, 547, 11100, 538, 16900, 609, 6777, 344, 10450, 269, 8479, 5017, 543, 8951, 4043, 547, 723, 6960, 880, 3766, 2001, 13063, 267, 855, 609, 9038, 267, 891, 1419, 28201, 607, 519, 6177, 6502, 267, 6028, 873, 513, 6986, 3043, 269, 634, 3109, 3952, 616, 7357, 4988, 609, 17207, 267, 543, 519, 4064, 616, 5835, 269, 1703, 616, 1100, 1274, 8913, 30835, 540, 519, 1826, 1336, 593, 1082, 824, 22559, 2249, 267, 543, 519, 683, 4242, 616, 3833, 2110, 269, 20128, 1540, 538, 9043, 593, 513, 829, 577, 267, 519, 22559, 814, 513, 10053, 267, 24814, 3337, 563, 1103, 8184, 267, 6777, 344, 31450, 7866, 17031, 267, 8185, 905, 9312, 12209, 602, 1118, 519, 6177, 19039, 569, 3280, 1652, 538, 8184, 269, 634, 3952, 267, 4988, 609, 5230, 17207, 267, 616, 5176, 15865, 950, 538, 8184, 267, 1498, 596, 949, 5544, 873, 1282, 1491, 4752, 543, 2244, 902, 269, 634, 6960, 880, 3766, 2001, 13617, 13063, 616, 811, 10423, 538, 8184, 982, 950, 519, 6177, 568, 829, 3481, 269, 634, 3389, 5006, 536, 18732, 568, 593, 519, 5580, 12209, 267, 2212, 267, 1394, 267, 543, 17737, 267, 609, 4775, 5017, 1373, 1454, 811, 8185, 6825, 982, 519, 3592, 6986, 3043, 9038, 563, 306, 852, 344, 26449, 26335, 543, 17392, 454, 763, 6777, 344, 22559, 14981, 538, 519, 2484, 7187, 818, 8157, 267, 4955, 7992, 5045, 883, 7187, 512, 1495, 571, 2127, 2066, 3345, 3013, 543, 5607, 538, 519, 5162, 269, 769, 3345, 3013, 267, 519, 5162, 2039, 666, 1331, 519, 7187, 8728, 540, 519, 2136, 2276, 269, 4438, 1296, 540, 1434, 9960, 543, 8023, 2175, 267, 519, 5017, 949, 22109, 14320, 2417, 5045, 883, 519, 4571, 2136, 2276, 269, 4438, 891, 8966, 834, 597, 4533, 633, 257, 1296, 1739, 513, 1974, 540, 726, 550, 3814, 10352, 267, 6777, 344, 31450, 723, 1044, 19481, 607, 2484, 5045, 607, 8419, 563, 306, 852, 344, 31450, 3622, 9468, 2647, 1930, 512, 1495, 571, 267, 2361, 267, 22153, 19126, 267, 543, 31403, 2127, 267, 543, 723, 606, 8966, 23816, 1145, 585, 519, 1930, 4610, 602, 3295, 1082, 7187, 29032, 269, 1358, 3622, 2057, 4104, 539, 2127, 538, 3870, 540, 1930, 2127, 1141, 789, 666, 3362, 5544, 682, 7825, 902, 543, 824, 1507, 10352, 2831, 563, 763, 6777, 344, 22559, 3335, 14981, 538, 818, 8157, 4525, 267, 4955, 7992, 5045, 883, 4516, 543, 519, 3665, 7187, 2136, 2276, 538, 5162, 269, 1717, 267, 538, 930, 1296, 950, 519, 9960, 4005, 814, 1044, 2523, 11327, 267, 6777, 344, 31450, 786, 3006, 22109, 607, 2484, 5045, 607, 519, 4571, 2136, 2276, 267, 689, 11908, 547, 7187, 4993, 563, 763, 6777, 344, 22559, 568, 513, 3461, 267, 22072, 25433, 602, 1419, 829, 2583, 593, 1970, 4054, 610, 20545, 9708, 607, 621, 18795, 5163, 1652, 8384, 543, 6947, 585, 10352, 269, 769, 8184, 267, 922, 12209, 1397, 1360, 2656, 909, 560, 15809, 267, 609, 1279, 267, 3532, 1524, 560, 15809, 269, 1358, 616, 4767, 547, 581, 1034, 3742, 538, 519, 6640, 3108, 5612, 1310, 3141, 23438, 543, 538, 519, 1974, 1175, 1472, 546, 23677, 269, 4438, 544, 1342, 599, 3108, 610, 1282, 1651, 2211, 4365, 267, 789, 949, 2611, 5163, 1652, 593, 829, 2583, 585, 1082, 3108, 563, 291, 2884, 543, 30839, 454, 1607, 6177, 1419, 6968, 338, 676, 1554, 267, 4782, 2590, 682, 7825, 902, 610, 824, 2666, 23224, 855, 849, 2921, 1507, 11864, 610, 5017, 950, 2556, 269, 898, 786, 6968, 1312, 693, 3781, 543, 1282, 519, 1554, 267, 2356, 829, 4221, 547, 5619, 519, 10450, 543, 546, 691, 532, 1524, 950, 621, 9634, 610, 30650, 10352, 269, 898, 3006, 6968, 338, 676, 10760, 1970, 547, 519, 2666, 610, 1256, 689, 2666, 7400, 829, 2583, 269, 898, 29598, 10352, 538, 922, 5657, 976, 2864, 982, 922, 581, 752, 563, 17954, 5338, 4386, 5631, 538, 519, 818, 8157, 4525, 543, 568, 1034, 10731, 538, 1296, 950, 682, 7825, 902, 543, 824, 23224, 616, 726, 550, 3814, 269, 16176, 344, 31450, 9566, 593, 6659, 1208, 332, 4169, 610, 31393, 609, 513, 1434, 2070, 5196, 519, 1930, 512, 1495, 571, 269, 634, 9566, 3294, 568, 513, 2241, 4965, 538, 519, 2666, 602, 568, 711, 20898, 609, 21823, 610, 1000, 12127, 563, 292, 1375, 338, 543, 8479, 454, 763, 4775, 23933, 476, 274, 547, 476, 1556, 17642, 880, 5798, 267, 609, 811, 5798, 1455, 538, 1296, 950, 1426, 7727, 616, 726, 550, 3814, 269, 634, 5798, 24011, 693, 11996, 267, 609, 519, 4775, 6967, 593, 519, 9566, 1247, 519, 5256, 6968, 338, 543, 6770, 1426, 269, 634, 1762, 666, 4734, 519, 9566, 1310, 1079, 610, 1614, 4374, 267, 855, 621, 666, 1491, 607, 1454, 607, 5722, 4374, 585, 873, 547, 8038, 2841, 1836, 269, 634, 3237, 949, 3049, 519, 1762, 585, 693, 2547, 8370, 610, 4557, 4374, 563, 21930, 5017, 616, 811, 6960, 880, 982, 3043, 269, 634, 9038, 7930, 2981, 883, 6986, 3043, 5017, 267, 1247, 8951, 786, 11677, 930, 6960, 880, 24795, 883, 15657, 563, 306, 852, 344, 26449, 11094, 454, 8266, 539, 607, 513, 834, 1042, 1592, 257, 7925, 2249, 676, 519, 594, 30002, 630, 17220, 5742, 585, 11094, 540, 7186, 1070, 621, 568, 6059, 602, 972, 616, 476, 1789, 267, 1822, 547, 476, 1911, 267, 1822, 6777, 344, 31450, 5001, 269, 898, 568, 1634, 602, 519, 2551, 568, 19394, 267, 4440, 1813, 547, 2518, 8337, 269, 5221, 9960, 2127, 616, 3833, 6552, 267, 891, 5017, 616, 711, 1454, 4299, 676, 824, 3029, 540, 1480, 13779, 267, 855, 607, 2518, 5210, 4473, 267, 519, 5078, 9960, 2127, 7771, 563, 20751, 519, 6777, 344, 22559, 781, 2039, 267, 2338, 666, 581, 9415, 676, 3257, 8726, 568, 2009, 547, 2149, 543, 4228, 6371, 344, 610, 23047, 1506, 14099, 9789, 7226, 538, 799, 713, 6177, 6968, 338, 563, 19522, 585, 7982, 12881, 16819, 619, 454, 763, 6777, 344, 22559, 568, 513, 986, 696, 528, 602, 3884, 1405, 561, 3293, 547, 707, 13452, 676, 6177, 12890, 619, 1765, 684, 1652, 1346, 29650, 1831, 2442, 609, 8983, 610, 824, 1507, 23224, 945, 3049, 593, 5452, 16559, 593, 519, 2666, 269, 1403, 596, 2661, 538, 513, 3148, 609, 1279, 6777, 344, 24475, 267, 971, 838, 2714, 902, 538, 707, 13452, 616, 2009, 267, 1498, 711, 1455, 269, 1411, 949, 267, 2705, 267, 581, 2111, 547, 6536, 1930, 2127, 1472, 707, 3959, 547, 1683, 519, 6371, 344, 14099, 538, 799, 891, 5017, 899, 547, 6968, 563, 289, 2273, 532, 12439, 945, 2661, 2282, 803, 27595, 543, 4610, 609, 2635, 887, 4823, 5095, 1522, 1134, 5544, 513, 6777, 344, 22559, 1282, 519, 5162, 3275, 269, 634, 5017, 3622, 22109, 1394, 547, 519, 818, 8157, 538, 4832, 269, 2755, 713, 986, 696, 528, 568, 5827, 540, 2921, 10352, 607, 1804, 607, 513, 15529, 267, 621, 568, 1360, 4686, 585, 7314, 610, 1507, 5243, 547, 2887, 6408, 547, 513, 6777, 344, 22559, 4323, 269, 901, 6177, 27422, 547, 3548, 682, 7825, 902, 267, 2019, 525, 267, 543, 8983, 269, 769, 10821, 3871, 267, 4376, 3677, 982, 513, 13863, 332, 6064, 610, 1507, 29160, 568, 12691, 547, 581, 6098, 676, 513, 6777, 344, 22559, 563, 1692, 547, 4855, 713, 16819, 454, 1103, 4832, 267, 596, 616, 12691, 547, 1294, 713, 6177, 8259, 596, 2951, 547, 519, 2484, 7187, 818, 8157, 512, 1495, 571, 269, 769, 5162, 267, 950, 621, 4955, 6233, 5045, 267, 596, 616, 1034, 2693, 547, 5544, 513, 6777, 344, 22559, 538, 9299, 597, 625, 267, 3484, 4133, 267, 23047, 1127, 267, 17822, 267, 543, 5070, 1673, 2317, 4525, 267, 1141, 621, 6968, 338, 585, 1507, 3014, 538, 519, 6777, 269, 9521, 1034, 31450, 267, 799, 616, 27248, 21962, 267, 519, 6777, 344, 22559, 1419, 20555, 538, 519, 21765, 3108, 267, 8384, 5702, 689, 513, 1970, 829, 577 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 21098, 532, 267, 4687, 14296, 267, 2759, 331, 2044, 610, 28331, 1805, 1157, 609, 606, 269, 12019, 21399, 616, 606, 1198, 540, 519, 15601, 2241, 343, 3644, 269, 898, 2501, 538, 519, 1106, 540, 23034, 268, 272, 267, 799, 3123, 21399, 1657, 519, 22765, 267, 543, 23034, 268, 273, 267, 799, 3123, 21399, 2630, 621, 267, 3226, 538, 519, 19058, 3148, 269, 12019, 21399, 616, 21380, 543, 666, 3262, 689, 835, 1268, 547, 1776, 267, 610, 267, 538, 4686, 2665, 267, 689, 835, 851, 540, 519, 1560, 547, 519, 824, 2859, 982, 3368, 540, 1004, 538, 519, 772, 2529, 269, 723, 1044, 7783, 609, 519, 3644, 602, 3123, 4411, 21399, 11065, 15277, 476, 736, 543, 476, 2412, 260, 540, 873, 786, 1995, 519, 7772, 602, 568, 513, 4411, 15319, 1809, 1082, 1004, 1205, 4411, 21399, 602, 2097, 1394, 269, 12019, 590, 648, 12580, 12019, 21399, 616, 1034, 2693, 547, 1397, 909, 593, 519, 3544, 540, 707, 5023, 543, 17534, 267, 855, 596, 666, 849, 1205, 873, 593, 707, 9224, 543, 1750, 4060, 454, 298, 1170, 532, 2576, 945, 814, 513, 4411, 15319, 269, 19457, 513, 6704, 4837, 267, 4189, 27022, 267, 610, 9067, 2545, 332, 609, 2576, 945, 814, 513, 4411, 15319, 269, 11109, 5711, 3023, 609, 2576, 945, 814, 513, 4411, 15319, 269, 589, 20169, 4816, 666, 849, 1205, 519, 3968, 693, 4332, 269, 1403, 596, 723, 513, 15601, 3644, 267, 596, 666, 547, 1780, 621, 2059, 1256, 950, 596, 1810, 1405, 723, 513, 15319, 269, 12019, 21399, 27506, 909, 12212, 12019, 21399, 1413, 899, 1507, 3043, 267, 11909, 267, 610, 2699, 28338, 602, 2356, 4755, 538, 610, 1472, 519, 5023, 543, 17534, 269, 1411, 666, 3006, 1205, 4411, 21399, 593, 519, 9224, 267, 24060, 267, 1750, 4060, 267, 543, 824, 2694, 540, 519, 3068, 269, 16242, 593, 519, 17534, 610, 5023, 1858, 1282, 5959, 2126, 666, 1267, 538, 513, 4411, 15319, 1025, 3563, 267, 607, 666, 519, 2566, 543, 4160, 930, 1004, 1995, 1282, 11290, 11564, 269, 3687, 4476, 519, 8458, 540, 606, 12176, 609, 519, 1739, 4388, 281, 13185, 547, 707, 11290, 827, 4411, 21399, 269, 11910, 707, 11290, 538, 4434, 952, 596, 723, 513, 4411, 15319, 1412, 5575, 1919, 1101, 910, 513, 3787, 540, 7242, 11861, 532, 827, 4411, 21399, 269, 8307, 1346, 945, 723, 519, 15601, 2241, 343, 3644, 786, 1205, 4411, 21399, 269, 1924, 267, 547, 782, 1346, 1004, 593, 12108, 543, 9365, 19101, 547, 723, 2919, 4411, 21399, 585, 519, 1101, 942, 538, 741, 1272, 1813, 547, 9849, 513, 9633, 585, 476, 1015, 3764, 1247, 10918, 910, 20994, 267, 855, 594, 3810, 8969, 621, 6423, 2052, 1411, 5192, 12019, 1924, 637, 689, 1744, 1136, 24732, 286, 593, 634, 12019, 590, 648, 9615, 16958, 610, 1224, 519, 3003, 2022, 2630, 281, 4014, 513, 3984, 540, 17900, 543, 4551, 666, 581, 11843, 689, 24373, 3946, 267, 519, 10171, 540, 24931, 519, 15601, 2241, 343, 3644, 616, 28489, 269, 12019, 21399, 2049, 1813, 547, 5711, 3346, 609, 606, 23034, 268, 272, 1286, 4471, 454, 3080, 11148, 547, 3123, 19058, 21399, 630, 28205, 616, 16770, 10299, 2356, 264, 543, 519, 824, 11148, 547, 2014, 4411, 21399, 630, 2254, 2356, 16770, 10299, 1040, 6423, 513, 4387, 945, 666, 948, 269, 4855, 12729, 1416, 7189, 2282, 596, 269, 634, 1826, 540, 15601, 602, 3123, 4411, 21399, 568, 1360, 1455, 910, 538, 1249, 267, 1034, 1004, 616, 4440, 7783, 609, 621, 12019, 21399, 616, 20027, 855, 3810, 21380, 269, 1358, 949, 2132, 1419, 543, 1831, 4049, 538, 1004, 945, 723, 513, 4617, 4761, 1062, 269, 1924, 267, 952, 596, 723, 513, 4411, 15319, 593, 1022, 851, 540, 707, 1560, 267, 1205, 621, 5701, 5612, 269, 13565, 281, 634, 20212, 1063, 12019, 590, 648, 543, 595, 1678, 518, 590, 648, 269, 589, 2603, 540, 1004, 723, 23034, 268, 272, 269, 1809, 267, 711, 782, 7783, 3283, 786, 1205, 4411, 21399, 12019, 21399, 616, 11213, 1025, 3563, 6438, 21399, 602, 2356, 2408, 1472, 519, 17534, 269, 1358, 616, 3361, 676, 519, 15601, 2241, 343, 3644, 630, 335, 1042, 11395, 569, 519, 1826, 476, 272, 3099, 267, 855, 849, 1826, 476, 273, 538, 930, 2665, 1070, 799, 666, 581, 10299, 689, 835, 1268, 547, 1776, 896, 1978, 6381, 12019, 21399, 616, 3361, 676, 519, 15601, 2241, 343, 3644, 543, 30133, 568, 3361, 676, 519, 15601, 1990, 8803, 3644, 630, 1492, 1482, 3644, 602, 3123, 9269, 1093, 343, 1040, 4495, 596, 616, 6534, 547, 891, 15601, 8290, 267, 789, 666, 2611, 26862, 267, 2356, 2059, 519, 13285, 267, 585, 1082, 1296, 2394, 707, 1062, 568, 18604, 676, 2566, 610, 3668, 540, 3207, 18266, 281, 1411, 666, 1205, 513, 4411, 15319, 676, 21098, 532, 269, 634, 15555, 528, 568, 3020, 281, 918, 1170, 532, 2576, 609, 513, 4411, 15319, 666, 4483, 519, 3644, 602, 3123, 621, 630, 21406, 15601, 2241, 343, 3644, 610, 23034, 268, 272, 264, 689, 873, 547, 596, 269, 2290, 540, 519, 1034, 1455, 2081, 519, 3644, 568, 3262, 568, 998, 21098, 532, 267, 1317, 519, 3644, 4749, 4386, 1472, 519, 5023, 543, 519, 17534, 267, 1767, 26056, 563, 306, 2803, 593, 519, 17534, 616, 4122, 5219, 547, 607, 4411, 21399, 269, 16791, 539, 7606, 786, 1419, 1995, 513, 32688, 267, 21422, 610, 8781, 14815, 1472, 741, 5023, 267, 1354, 519, 5920, 540, 21399, 269, 2991, 3355, 3968, 267, 519, 28338, 610, 21385, 666, 21237, 9888, 2368, 1004, 2760, 1205, 4411, 21399, 693, 782, 1317, 519, 3644, 2760, 3587, 3742, 269, 6164, 532, 4411, 21399, 269, 12019, 21399, 2356, 2312, 909, 676, 2933, 1510, 2126, 1369, 476, 278, 547, 476, 1015, 2395, 269, 1717, 267, 27179, 1212, 4461, 616, 2139, 936, 519, 4831, 689, 7966, 9313, 1510, 513, 13310, 269, 1403, 1031, 7157, 267, 891, 666, 948, 8897, 707, 2589, 543, 3432, 909, 269, 1403, 1352, 781, 554, 12364, 272, 2942, 630, 543, 554, 12364, 273, 2942, 3738, 676, 1973, 4152, 910, 5310, 1352, 1522, 581, 5461, 538, 10283, 538, 519, 1200, 701, 341, 659, 6669, 8062, 269, 1411, 666, 24440, 621, 547, 1265, 856, 811, 593, 621, 269, 1403, 1352, 781, 554, 12364, 272, 2942, 910, 621, 781, 1655, 547, 20093, 593, 519, 2427, 540, 13657, 543, 2057, 21098, 532, 1200, 9170, 2394, 519, 4411, 15319, 568, 646, 4705, 543, 519, 2960, 568, 1394, 547, 3339, 454, 290, 1245, 21399, 2736, 1930, 543, 1085, 629, 1369, 476, 4366, 3108, 543, 8207, 1369, 2947, 547, 476, 1428, 2395, 267, 2687, 547, 519, 589, 4696, 269, 15486, 540, 4411, 21399, 269, 4495, 596, 4579, 519, 15601, 2241, 343, 3644, 602, 3123, 4411, 21399, 267, 621, 269, 25175, 666, 1020, 4411, 21399, 282, 538, 1249, 267, 1034, 2043, 1205, 693, 2547, 835, 267, 543, 12489, 1020, 547, 2061, 811, 269, 6168, 17288, 2600, 540, 4079, 786, 1020, 18596, 17061, 269, 15566, 2542, 547, 4685, 883, 519, 2101, 3123, 540, 4411, 21399, 1631, 267, 4358, 609, 519, 2407, 3877, 593, 875, 23034, 2501, 883, 1404, 12580, 540, 12019, 1924, 637, 593, 26100, 267, 631, 1926, 267, 25590, 267, 26280, 826, 267, 715, 846, 267, 16685, 543, 8131, 269, 4107, 666, 5431, 513, 4411, 15319, 689, 1483, 1272, 610, 1072, 7044, 269, 634, 2589, 540, 4411, 21399, 1331, 1025, 3563, 532, 1472, 519, 7783, 3148, 269, 1306, 519, 2012, 5267, 267, 21399, 786, 2408, 799, 786, 581, 4904, 538, 513, 5277, 454, 763, 1249, 602, 1310, 31024, 17534, 4988, 609, 513, 6094, 12933, 267, 799, 538, 1022, 2013, 666, 711, 15237, 1055, 267, 2094, 621, 14014, 1996, 23633, 4551, 269, 4173, 6647, 16420, 9397, 713, 12933, 267, 1281, 711, 1450, 621, 547, 5265, 1106, 543, 267, 4061, 267, 13676, 17534, 2611, 1510, 1022, 4027, 269, 1656, 2943, 519, 15319, 949, 27253, 519, 1267, 540, 519, 5650, 1403, 713, 568, 707, 1101, 942, 540, 3478, 4411, 15319, 267, 798, 711, 5855, 267, 596, 616, 711, 538, 713, 4805, 269, 11565, 803, 267, 1004, 1205, 4411, 21399, 782, 519, 942, 269, 769, 1249, 267, 476, 3445, 260, 540, 4079, 1449, 2318, 585, 15601, 269, 1717, 269, 2334, 1797, 1022, 1463, 3346, 609, 519, 15319, 1223, 3262, 519, 3644, 269, 1703, 616, 513, 1297, 540, 3268, 707, 9393, 666, 1491, 547, 2569, 519, 4960, 540, 10825, 519, 3644, 602, 3123, 519, 21399, 543, 2539, 1010, 1981, 585, 3384, 4411, 21399, 4749, 269, 12019, 21399, 616, 6263, 267, 5714, 23752, 28338, 593, 543, 1472, 519, 17534, 269, 634, 28338, 1419, 616, 19882, 1927, 454, 290, 1245, 21399, 616, 21380, 1247, 596, 723, 2589, 267, 855, 789, 616, 1034, 11763, 950, 519, 1025, 3563, 28377, 269, 1403, 596, 723, 513, 4411, 15319, 267, 2057, 21098, 532, 4896, 267, 2523, 20169, 9002, 610, 1004, 609, 513, 18604, 4761, 1062, 267, 2394, 519, 15319, 568, 4625, 646, 4705, 269, 1411, 1058, 849, 1491, 1416, 547, 2061, 3346, 1063, 519, 4411, 15319, 543, 4896, 3116, 781, 2960, 4635, 15267, 666, 2014, 21994, 538, 930, 1004, 269, 476, 274, 269, 2052, 10109, 529, 949, 13347, 707, 7181, 269, 476, 275, 269, 19457, 10549, 543, 536, 29330, 4679, 519, 1981, 540, 3444, 19899, 1254, 269, 4014, 7296, 18290, 609, 513, 4411, 949, 711, 581, 519, 1655, 2856, 267, 972, 616, 7899, 540, 824, 2081, 547, 4324, 689, 17089, 1510, 8886, 908, 707, 9641, 1411, 1058, 1294, 513, 4387, 952, 596, 5781, 1205, 4411, 21399, 269, 589, 4387, 666, 849, 948, 952, 789, 2951, 547, 707, 3750, 267, 1810, 1405, 979, 2476, 1310, 513, 3018, 610, 476, 273, 267, 610, 1831, 11303, 676, 12933, 344, 2960, 269, 7831, 1199, 1227, 269, 3371, 781, 1018, 596, 991, 547, 917, 281, 4173, 6647, 2241, 343, 568, 513, 3644, 269, 1703, 616, 811, 982, 476, 1911, 1634, 2010, 540, 15601, 8290, 267, 855, 1152, 1079, 616, 2356, 16770, 10299, 281, 15601, 2241, 343, 3644, 1826, 476, 272, 630, 9391, 309, 268, 272, 264, 543, 1826, 476, 273, 630, 9391, 309, 268, 273, 1040, 5637, 2010, 666, 2014, 19058, 15601, 269, 23034, 268, 272, 666, 849, 2014, 21399, 593, 519, 5023, 610, 17534, 1572, 8611, 28338, 610, 4411, 21399, 454, 290, 1245, 21399, 267, 3006, 1572, 8611, 28338, 267, 616, 2516, 540, 1507, 28338, 602, 1106, 593, 267, 610, 2282, 519, 17534, 269, 1358, 616, 3361, 676, 606, 3968, 689, 513, 3644, 1572, 15601, 2241, 343, 3644, 630, 9391, 309, 1040, 634, 2960, 1472, 891, 28338, 568, 1419, 2699, 267, 22224, 267, 543, 1360, 11213, 1403, 596, 2811, 4358, 547, 1745, 519, 4191, 543, 2589, 540, 513, 4411, 15319, 267, 899, 32688, 543, 8781, 267, 596, 666, 581, 21380, 693, 602, 3942, 267, 1932, 267, 3081, 5839, 298, 9519, 269, 2368, 2564, 4966, 2161, 547, 20093, 593, 519, 2427, 540, 13657, 543, 711, 1450, 4896, 945, 814, 1185, 513, 4411, 15319, 538, 519, 3105, 3018, 547, 21098, 707, 4816, 25003, 269, 1411, 2811, 811, 2693, 547, 6952, 513, 4411, 543, 547, 723, 811, 5498, 3164, 897, 1091, 952, 596, 8673, 610, 616, 1472, 2034, 8518, 8673, 269, 22452, 269, 1403, 596, 2811, 1472, 24921, 267, 971, 607, 693, 1153, 610, 593, 606, 20987, 267, 596, 2811, 2693, 547, 581, 6534, 547, 8290, 602, 2014, 897, 1091, 269, 1290, 4124, 269, 1452, 2175, 666, 2049, 2059, 609, 707, 4411, 281, 26590, 1274, 3968, 630, 582, 4345, 2923, 264, 12019, 21399, 543, 8611, 28338, 616, 3361, 676, 15601, 2241, 343, 3644, 1826, 476, 272, 630, 9391, 309, 268, 272, 1040, 901, 3644, 568, 5293, 689, 1268, 547, 1268, 676, 19975, 630, 32355, 2047, 267, 610, 676, 6704, 689, 519, 1482, 4837, 610, 7484, 264, 610, 676, 2960, 3346, 269, 12019, 21399, 2356, 2408, 607, 13421, 540, 6263, 28338, 593, 519, 9067, 269, 6168, 476, 279, 856, 540, 476, 1015, 1004, 723, 519, 3644, 602, 3123, 4411, 21399, 590, 648, 11563, 543, 513, 2196, 5500, 9224, 616, 1360, 30414, 543, 267, 950, 596, 723, 513, 4411, 267, 7296, 18290, 568, 4440, 519, 2063, 3364, 593, 707, 2247, 269, 4014, 891, 2589, 2356, 979, 2476, 538, 513, 1906, 2395, 267, 930, 1004, 1265, 621, 1360, 4101, 547, 3251, 2476, 689, 15267, 269, 901, 568, 2523, 865, 585, 2564, 2550, 945, 991, 547, 1491, 741, 6646, 593, 513, 3232, 4493, 454, 763, 2165, 5312, 4411, 21399, 1131, 811, 8308, 4766, 519, 1072, 3390, 594, 28815, 585, 865, 1082, 1296, 269, 4438, 1250, 3735, 7141, 1296, 267, 782, 519, 1259, 547, 1250, 4571, 268, 736, 781, 267, 594, 1131, 1205, 9170, 689, 476, 275, 268, 279, 4411, 21399, 829, 1032, 12019, 21399, 616, 3361, 676 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 24973, 269, 634, 2887, 540, 519, 29305, 543, 6739, 23693, 8507, 538, 17615, 8942, 547, 2699, 3863, 11889, 543, 3486, 6302, 269, 9737, 476, 4489, 278, 543, 476, 4489, 280, 1896, 771, 550, 836, 2211, 3785, 941, 2919, 543, 8045, 676, 1114, 11051, 267, 1519, 6805, 30921, 543, 14418, 26112, 269, 1452, 941, 519, 645, 1722, 520, 4201, 16860, 29064, 538, 476, 4489, 278, 282, 519, 14418, 519, 7100, 2813, 676, 513, 4744, 1211, 14418, 31494, 700, 889, 338, 534, 6341, 323, 534, 570, 1910, 6577, 990, 282, 543, 519, 3443, 5336, 784, 565, 1014, 10480, 3130, 540, 28740, 267, 4934, 518, 267, 670, 592, 684, 25975, 597, 543, 645, 1722, 520, 31322, 6462, 676, 5545, 10492, 543, 513, 6237, 595, 1601, 871, 6205, 717, 3419, 800, 12054, 523, 990, 269, 3962, 1788, 896, 20040, 513, 1978, 1895, 3961, 543, 10645, 1880, 22228, 5624, 269, 634, 2376, 8268, 875, 519, 7526, 1063, 20718, 9163, 941, 17251, 267, 543, 1946, 782, 1614, 3785, 8959, 269, 0, 306, 1993, 320, 568, 513, 13495, 1074, 320, 2165, 585, 10553, 7980, 945, 6039, 538, 519, 7952, 540, 519, 5689, 328, 7276, 269, 1924, 325, 553, 1131, 849, 4339, 267, 538, 8795, 19206, 267, 538, 519, 20679, 540, 2663, 13495, 2946, 2829, 971, 607, 519, 645, 600, 3570, 543, 654, 817, 9567, 537, 23693, 563, 763, 2262, 865, 17304, 18922, 883, 2296, 607, 834, 15289, 540, 519, 7504, 257, 9497, 810, 257, 1797, 7504, 267, 543, 834, 17304, 257, 1797, 834, 15289, 8442, 610, 834, 31384, 1014, 540, 519, 7504, 2668, 901, 2165, 11710, 689, 519, 3312, 1599, 540, 519, 865, 17304, 607, 513, 1416, 339, 6033, 585, 519, 7504, 610, 9640, 540, 13495, 1074, 320, 29816, 4971, 619, 1572, 834, 30138, 926, 8487, 306, 1993, 320, 538, 519, 13495, 1074, 320, 10504, 540, 5689, 328, 454, 306, 1993, 553, 1118, 741, 1101, 5920, 538, 5711, 543, 2854, 5638, 1282, 519, 5250, 540, 519, 5689, 328, 7276, 269, 1924, 325, 553, 941, 25945, 689, 834, 329, 517, 578, 257, 630, 16435, 2314, 264, 9676, 538, 6370, 610, 11751, 689, 7192, 541, 269, 1358, 1223, 581, 31030, 593, 538, 1034, 8320, 585, 24150, 267, 2094, 741, 17612, 31030, 7357, 593, 741, 4487, 269, 634, 9872, 540, 8474, 538, 519, 5689, 328, 7276, 8185, 30039, 14017, 267, 543, 795, 517, 578, 1223, 4473, 547, 3540, 610, 4108, 7158, 540, 23146, 269, 13744, 578, 2968, 851, 540, 741, 4487, 781, 28334, 267, 543, 941, 1419, 15685, 1310, 513, 1978, 2179, 540, 1296, 563, 288, 4172, 577, 610, 865, 17304, 568, 513, 4062, 540, 11647, 585, 27939, 1079, 610, 811, 1004, 538, 519, 1106, 540, 513, 14541, 267, 609, 610, 1510, 6186, 6135, 338, 267, 602, 568, 13148, 610, 7357, 15081, 565, 560, 1229, 267, 543, 1419, 19034, 609, 20950, 543, 3358, 24302, 687, 269, 4014, 513, 4172, 577, 568, 1031, 5097, 585, 27939, 267, 621, 949, 581, 1031, 585, 556, 743, 1456, 543, 562, 6260, 563, 1103, 5321, 267, 4172, 2583, 616, 7363, 1336, 538, 519, 1920, 4055, 267, 2713, 4055, 267, 3954, 267, 9361, 4055, 610, 519, 561, 1735, 613, 269, 1358, 616, 849, 1336, 538, 20730, 267, 10981, 9812, 540, 5010, 13646, 267, 7996, 11623, 267, 543, 930, 13063, 563, 763, 2165, 4172, 577, 568, 1031, 538, 3345, 3013, 543, 5245, 267, 15029, 519, 2165, 865, 17304, 568, 3622, 1031, 538, 519, 2136, 8003, 269, 634, 2262, 12090, 538, 5664, 2296, 689, 519, 6196, 3943, 10902, 4172, 3832, 267, 799, 6508, 689, 519, 8231, 2495, 834, 1729, 9114, 1524, 2668, 898, 8385, 20922, 606, 6221, 540, 11647, 585, 14084, 610, 12008, 593, 267, 10169, 899, 513, 11024, 1047, 1279, 826, 267, 855, 1631, 4016, 547, 865, 325, 553, 538, 2489, 563, 8448, 2474, 799, 666, 581, 24190, 609, 519, 1657, 4214, 616, 1305, 6590, 267, 1750, 3122, 7615, 267, 2820, 534, 267, 546, 13273, 1636, 267, 561, 1735, 613, 267, 543, 666, 777, 2946, 269, 634, 2262, 865, 17304, 568, 689, 15349, 6508, 689, 519, 12428, 2262, 3411, 320, 585, 834, 342, 944, 2580, 23608, 538, 519, 589, 18769, 545, 2262, 521, 2089, 320, 585, 834, 3901, 2668, 634, 2262, 1305, 6590, 2501, 689, 519, 6196, 2296, 2262, 267, 834, 3553, 331, 2580, 799, 729, 1031, 547, 4766, 1279, 1649, 2583, 609, 1164, 19758, 543, 7916, 267, 855, 568, 1631, 3622, 1031, 547, 4766, 15081, 565, 560, 1229, 27939, 563, 288, 9042, 568, 519, 5385, 540, 513, 20161, 610, 2724, 607, 519, 3902, 540, 513, 1434, 610, 513, 3028, 2529, 2297, 630, 680, 1116, 1152, 264, 568, 2534, 1644, 547, 9513, 610, 519, 2179, 540, 4421, 5370, 610, 2533, 538, 513, 2016, 942, 1974, 563, 763, 22673, 610, 519, 8502, 540, 519, 5370, 610, 2533, 29349, 513, 9042, 538, 3210, 547, 606, 11601, 267, 3261, 566, 267, 7528, 9974, 610, 513, 1463, 5872, 609, 519, 23138, 693, 519, 1448, 540, 9042, 269, 1703, 568, 513, 8429, 540, 2140, 630, 27393, 1399, 610, 9562, 264, 540, 519, 6221, 267, 543, 519, 11175, 540, 513, 3902, 267, 538, 799, 6876, 568, 6603, 593, 513, 3902, 585, 799, 4483, 540, 9562, 540, 519, 6221, 786, 2049, 269, 634, 22673, 267, 711, 519, 4136, 6471, 3622, 4291, 2373, 519, 9042, 543, 621, 949, 581, 6192, 1991, 547, 519, 17185, 540, 8569, 269, 769, 519, 2013, 540, 9940, 5872, 267, 513, 1268, 945, 23619, 5370, 610, 3028, 593, 15773, 540, 519, 8227, 568, 1634, 607, 6455, 2006, 610, 6455, 30513, 563, 303, 545, 269, 1775, 1805, 1442, 3267, 22353, 547, 513, 1867, 676, 654, 820, 7257, 267, 519, 3747, 585, 3207, 2472, 4682, 909, 676, 476, 3583, 4939, 1282, 519, 6855, 267, 6306, 689, 513, 21782, 538, 519, 6455, 540, 23908, 21978, 23107, 543, 12947, 23341, 11647, 899, 513, 865, 17304, 2275, 636, 1532, 539, 269, 6820, 25682, 12367, 3267, 6215, 3784, 16152, 269, 20266, 269, 1775, 1805, 1442, 3267, 12619, 1494, 687, 269, 20266, 269, 1775, 1805, 1442, 3267, 11554, 856, 538, 5127, 593, 519, 4473, 269, 20266, 269, 1775, 1805, 1442, 3267, 20266, 269, 12834, 3820, 3267, 4586, 1607, 3670, 1532, 539, 3336, 1753, 568, 593, 519, 6917, 856, 12921, 16630, 540, 11205, 3467, 267, 538, 590, 12002, 564, 267, 543, 568, 585, 9042, 585, 11278, 280, 4037, 267, 1822, 3842, 10040, 8069, 14339, 15104, 24171, 1862, 14348, 596, 10943, 1662, 856, 593, 513, 12805, 865, 17304, 6730, 2915, 5127, 286, 1284, 1862, 18738, 519, 1034, 9763, 5321, 585, 9042, 18246, 3267, 901, 16823, 2777, 538, 623, 839, 5112, 267, 30290, 267, 568, 585, 9042, 585, 11278, 273, 269, 276, 332, 11669, 3842, 10040, 8069, 2441, 773, 1299, 3213, 563, 312, 731, 306, 1446, 23190, 2877, 585, 519, 4728, 2146, 17253, 13452, 9042, 269, 589, 1592, 540, 3688, 2877, 1331, 11647, 630, 577, 4202, 267, 964, 802, 267, 865, 325, 553, 267, 7515, 1070, 7622, 3688, 630, 341, 659, 10840, 267, 2011, 26650, 518, 267, 3282, 886, 12528, 267, 22311, 1070, 10051, 2264, 630, 4134, 1127, 267, 17428, 267, 31781, 267, 8988, 2264, 267, 3092, 13776, 543, 1453, 781, 3688, 630, 1729, 903, 267, 2835, 267, 9660, 264, 3267, 476, 1839, 13538, 616, 2877, 547, 948, 609, 519, 962, 731, 22312, 3267, 3267, 563, 763, 8783, 14012, 781, 8250, 729, 16957, 569, 546, 1575, 539, 540, 12652, 476, 4097, 267, 1822, 676, 835, 540, 519, 2185, 15034, 267, 945, 1185, 14059, 1200, 607, 513, 23138, 593, 606, 552, 19645, 3760, 267, 1141, 1352, 1185, 2322, 909, 513, 865, 17304, 593, 9042, 269, 4746, 3367, 3267, 834, 763, 1614, 5249, 593, 10243, 4493, 585, 2782, 529, 3267, 4340, 547, 519, 7128, 267, 519, 6408, 1185, 2322, 909, 513, 865, 17304, 585, 9042, 593, 606, 552, 19645, 3760, 3267, 16156, 3267, 563, 763, 8783, 14012, 779, 8250, 729, 16957, 569, 546, 1575, 539, 540, 12652, 476, 4097, 267, 1822, 676, 835, 540, 519, 2185, 15034, 267, 945, 1185, 14059, 1200, 607, 513, 23138, 593, 606, 552, 19645, 3760, 267, 1141, 1352, 1185, 2322, 909, 513, 865, 17304, 593, 9042, 269, 968, 763, 1614, 5249, 593, 10243, 4493, 585, 2782, 529, 3267, 4340, 547, 519, 7128, 267, 519, 6408, 1185, 2322, 909, 513, 865, 17304, 585, 9042, 593, 606, 552, 19645, 3760, 3267, 16193, 3267, 4924, 476, 1428, 3267, 4586, 29670, 4055, 27939, 630, 1575, 547, 476, 2568, 260, 1055, 264, 300, 11697, 18007, 1955, 8643, 309, 10679, 339, 476, 10037, 269, 276, 20878, 2647, 4009, 6186, 6460, 1043, 865, 17304, 267, 729, 1269, 29024, 269, 4200, 267, 593, 9042, 585, 1269, 30306, 269, 4200, 269, 898, 2501, 538, 5722, 4778, 910, 12457, 267, 16009, 267, 3039, 267, 1769, 3039, 267, 28401, 5835, 267, 11909, 543, 4158, 10424, 4544, 15030, 514, 8725, 303, 7163, 31506, 557, 12076, 476, 6200, 269, 273, 20878, 31181, 865, 17304, 543, 11024, 1047, 609, 522, 1777, 2674, 267, 729, 1269, 278, 7597, 269, 4200, 267, 593, 9042, 585, 1269, 6321, 280, 269, 4200, 563, 6097, 547, 519, 7128, 267, 519, 6408, 1185, 2322, 909, 513, 865, 17304, 585, 9042, 593, 606, 552, 19645, 3760, 3267, 22013, 6062, 2419, 3971, 10579, 6635, 341, 785, 3223, 329, 686, 19789, 781, 8250, 670, 6702, 7534, 814, 16957, 569, 1044, 546, 1575, 539, 540, 19238, 373, 4097, 267, 1822, 676, 513, 812, 267, 945, 14059, 1200, 607, 513, 23138, 593, 606, 552, 19645, 3760, 267, 1141, 1352, 1185, 2322, 909, 513, 865, 17304, 593, 9042, 267, 7128, 1767, 593, 11728, 563, 301, 11246, 667, 5085, 26980, 269, 16156, 8783, 14012, 1488, 341, 785, 3223, 329, 686, 19789, 781, 8250, 670, 6702, 7534, 814, 16957, 569, 1044, 546, 1575, 539, 540, 12652, 476, 4097, 267, 1822, 676, 513, 812, 267, 945, 14059, 1200, 607, 513, 23138, 593, 606, 552, 19645, 3760, 267, 1141, 1352, 1185, 2322, 909, 513, 865, 17304, 593, 9042, 267, 7128, 1767, 593, 11728, 3267, 4340, 547, 519, 7128, 267, 519, 6408, 1185, 2322, 909, 513, 865, 17304, 585, 9042, 593, 606, 552, 19645, 3760, 3267, 8281, 3267, 16156, 269, 4975, 269, 4586, 22013, 6062, 2419, 3971, 10579, 6635, 341, 785, 3223, 329, 686, 19789, 781, 8250, 670, 6702, 7534, 3223, 329, 686, 19789, 814, 15468, 10352, 547, 513, 30040, 3009, 1085, 600, 267, 16957, 569, 9561, 12652, 476, 4097, 267, 1822, 547, 513, 12611, 3122, 1247, 3843, 547, 6133, 513, 2034, 11804, 865, 17304, 1305, 593, 513, 1357, 22045, 269, 634, 12611, 3122, 14059, 670, 6702, 7534, 593, 519, 9140, 5498, 29818, 22045, 267, 6029, 16994, 1719, 538, 11449, 513, 2034, 11804, 865, 17304, 1305, 1352, 1185, 2322, 593, 9042, 563, 17098, 267, 594, 993, 3168, 585, 1945, 585, 1250, 3774, 936, 1250, 865, 17304, 3267, 634, 4446, 5901, 619, 31541, 303, 32535, 7581, 753, 518, 538, 513, 476, 2641, 268, 8784, 2450, 568, 593, 9042, 693, 9546, 27926, 585, 1269, 272, 269, 7176, 713, 3018, 3267, 3040, 8262, 31849, 814, 513, 20036, 10750, 512, 879, 701, 865, 17304, 543, 561, 990, 3150, 520, 593, 9042, 585, 1269, 26482, 1142, 3267, 3040, 589, 24605, 476, 1428, 269, 277, 20878, 15291, 609, 27311, 11759, 1775, 276, 568, 593, 9042, 585, 1269, 276, 4200, 269, 4200, 693, 27010, 563, 22013, 6062, 2419, 3971, 10579, 6635, 341, 785, 3223, 329, 686, 19789, 779, 8250, 670, 6702, 7534, 814, 16957, 569, 1044, 546, 1575, 539, 540, 12652, 476, 4097, 267, 1822, 676, 513, 812, 267, 945, 14059, 1200, 607, 513, 23138, 593, 606, 552, 19645, 3760, 267, 1141, 1352, 1185, 2322, 909, 513, 865, 17304, 593, 9042, 267, 7128, 1767, 593, 11728, 3267, 4340, 547, 519, 7128, 267, 519, 6408, 1185, 2322, 909, 513, 865, 17304, 585, 9042, 593, 606, 552, 19645, 3760, 3267, 5440, 5240, 14738, 3767, 3267, 16193, 3267, 14970, 18248, 269, 0, 763, 10945, 540, 799, 540, 519, 1739, 1131, 581, 9642, 2338, 888, 763, 4009, 540, 606, 9642, 1297, 568, 9642, 543, 519, 4009, 540, 606, 1256, 1297, 568, 1256, 269, 3371, 267, 476, 32542, 543, 476, 6507, 278, 280, 616, 9642, 2338, 563, 13295, 267, 519, 4009, 540, 476, 32542, 543, 476, 6507, 278, 280, 786, 581, 606, 9642, 1297, 563, 21581, 20861, 338, 1280, 2353, 23527, 454, 268, 2368, 2859, 21624, 18963, 540, 12384, 7089, 0, 1432, 568, 519, 2953, 10259, 585, 670, 2207, 310, 17751, 888, 1607, 2262, 630, 15463, 3118, 264, 949, 581, 4413, 335, 8215, 269, 12989, 596, 666, 1265, 519, 6700, 1913, 799, 649, 3494, 616, 519, 2953, 29745, 585, 1018, 596, 941, 10478, 585, 269, 1403, 596, 4945, 593 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 539, 527, 621, 264, 840, 268, 897, 3518, 1014, 7239, 630, 29592, 476, 14983, 273, 264, 476, 2004, 260, 2919, 607, 540, 27095, 476, 274, 267, 476, 1220, 276, 519, 6433, 540, 519, 14081, 630, 8146, 278, 910, 476, 6942, 278, 264, 5763, 267, 5647, 267, 543, 1158, 1379, 630, 476, 6942, 278, 910, 476, 4489, 274, 563, 763, 2038, 1686, 540, 519, 8087, 2829, 5956, 1279, 1354, 513, 4182, 1572, 968, 1492, 8087, 2829, 892, 3357, 883, 1373, 621, 5956, 609, 519, 6805, 9082, 540, 5087, 269, 901, 15415, 2982, 7819, 1686, 689, 476, 9965, 271, 547, 476, 1001, 276, 267, 609, 6252, 513, 1863, 267, 4557, 8792, 8755, 7260, 18995, 519, 13664, 1686, 540, 519, 8087, 2829, 5313, 5520, 267, 910, 476, 5908, 276, 910, 476, 6942, 278, 910, 8044, 2665, 1354, 18678, 5480, 267, 910, 476, 6642, 274, 1547, 589, 15415, 540, 16646, 281, 476, 5908, 276, 268, 6942, 278, 1686, 476, 14338, 32738, 538, 632, 4895, 27618, 8474, 538, 519, 8087, 2829, 18322, 20964, 563, 7093, 3146, 23728, 776, 2112, 281, 476, 8182, 278, 268, 11260, 278, 5225, 1577, 721, 917, 1018, 596, 1589, 540, 891, 7819, 1686, 9413, 543, 581, 2386, 547, 1331, 1022, 269, 634, 1007, 8513, 5176, 29156, 519, 2450, 540, 519, 8087, 2829, 476, 5197, 275, 267, 19790, 3241, 18720, 5886, 568, 519, 1101, 19052, 7819, 547, 4309, 606, 8956, 776, 4110, 538, 721, 1686, 950, 1647, 12064, 538, 476, 8146, 278, 646, 3587, 519, 1101, 7819, 547, 1685, 1354, 15596, 4619, 18319, 538, 24469, 476, 6942, 278, 267, 519, 476, 3393, 628, 18322, 814, 1614, 3109, 2818, 269, 901, 1837, 12116, 721, 1686, 689, 1354, 24067, 3346, 998, 538, 519, 1818, 281, 513, 1686, 540, 519, 1004, 540, 519, 8087, 2829, 540, 13314, 547, 476, 6942, 278, 269, 20056, 550, 1568, 540, 3140, 5708, 267, 782, 1305, 538, 519, 8087, 2829, 891, 9089, 30712, 513, 942, 1974, 693, 2547, 476, 3374, 268, 2412, 1296, 1354, 741, 8313, 269, 0, 12507, 30496, 543, 2890, 7809, 1557, 267, 1382, 1957, 26771, 543, 2890, 7809, 1357, 3122, 521, 8675, 11225, 26771, 607, 12600, 9562, 998, 3656, 17979, 267, 4971, 540, 3761, 267, 610, 13447, 539, 2962, 12600, 15896, 610, 1852, 513, 20161, 6417, 676, 835, 5428, 269, 9786, 18294, 1557, 2890, 7809, 18294, 281, 513, 1382, 1788, 2094, 922, 27299, 538, 476, 3192, 276, 676, 1071, 27428, 3915, 19235, 543, 533, 4954, 782, 523, 267, 2890, 7809, 18294, 723, 20406, 543, 6385, 1831, 835, 540, 519, 1158, 781, 1034, 3811, 3549, 267, 609, 12478, 10838, 519, 1034, 2518, 269, 9786, 281, 26771, 610, 24041, 17636, 23345, 676, 1775, 327, 919, 1276, 514, 593, 15567, 476, 4962, 267, 476, 1220, 275, 2094, 476, 1960, 271, 267, 513, 6370, 814, 986, 3022, 538, 8087, 2829, 10470, 1063, 519, 8087, 2829, 2229, 543, 519, 2890, 7809, 18294, 18188, 676, 3915, 19235, 563, 3674, 2890, 7809, 513, 26771, 4081, 1557, 538, 513, 9976, 25710, 6412, 2013, 6836, 1282, 476, 1960, 279, 267, 519, 8257, 540, 5126, 9901, 2890, 7809, 18294, 609, 513, 2647, 2039, 540, 4550, 16327, 564, 1438, 2623, 1851, 519, 10997, 1377, 539, 676, 519, 798, 329, 729, 519, 14336, 566, 602, 2890, 7809, 24648, 958, 15985, 1194, 519, 9042, 540, 922, 2890, 7809, 24413, 4950, 11422, 3301, 269, 4340, 547, 1357, 3122, 267, 513, 26771, 568, 519, 12600, 1852, 540, 513, 20161, 610, 3028, 538, 513, 2016, 2344, 2890, 7809, 814, 6913, 741, 4567, 540, 1373, 519, 4102, 3301, 2754, 538, 13314, 676, 2870, 513, 26771, 543, 1210, 15490, 1870, 12485, 269, 1496, 15912, 281, 26771, 27779, 2890, 7809, 3594, 316, 476, 11277, 279, 1913, 630, 3374, 3817, 264, 2178, 3594, 1496, 2181, 1613, 316, 2890, 7809, 281, 9684, 22556, 621, 568, 513, 26771, 1557, 910, 2890, 7809, 281, 9684, 22556, 621, 568, 513, 26771, 1082, 1004, 267, 609, 519, 2229, 616, 3843, 547, 6003, 2890, 7809, 607, 513, 26771, 269, 9786, 607, 513, 26771, 713, 1557, 2890, 7809, 607, 513, 26771, 543, 824, 476, 5038, 267, 1822, 266, 2165, 4574, 267, 2852, 1557, 1806, 543, 1863, 3594, 616, 2139, 1631, 593, 2689, 612, 904, 1260, 1313, 528, 281, 2689, 3040, 949, 476, 2537, 267, 476, 1001, 272, 3040, 1557, 3040, 476, 279, 6246, 1913, 630, 275, 3817, 264, 3040, 476, 278, 4097, 5784, 563, 2750, 1356, 696, 689, 1557, 2433, 2890, 7809, 25710, 6412, 2152, 543, 13753, 26771, 2175, 666, 581, 3989, 676, 606, 5044, 540, 6381, 602, 513, 2754, 666, 1265, 3294, 538, 952, 621, 1281, 711, 723, 1022, 10257, 6735, 269, 7046, 3561, 2630, 568, 606, 1557, 593, 519, 2890, 7809, 26771, 689, 4550, 3594, 267, 707, 2707, 585, 1382, 4574, 267, 3594, 267, 543, 2165, 1957, 1806, 269, 634, 2890, 7809, 26771, 5170, 547, 1711, 513, 2101, 1764, 538, 519, 1158, 540, 3486, 2029, 2890, 7809, 814, 5705, 569, 17332, 922, 1378, 2093, 547, 581, 519, 2104, 540, 2029, 267, 607, 649, 917, 621, 519, 6240, 2344, 538, 799, 713, 568, 513, 4641, 568, 519, 15259, 267, 799, 2890, 7809, 2531, 7149, 609, 513, 31417, 2557, 540, 476, 4817, 260, 476, 277, 1317, 540, 713, 267, 9367, 723, 1100, 563, 3674, 24440, 513, 3020, 26771, 7493, 24440, 568, 24903, 519, 1034, 2442, 3406, 2599, 1031, 593, 519, 4950, 519, 2754, 3091, 9120, 3406, 2164, 543, 5693, 18271, 4600, 609, 5499, 2093, 602, 666, 1832, 519, 2754, 6619, 540, 519, 6735, 269, 7046, 3561, 2630, 568, 606, 1557, 593, 2890, 7809, 610, 26771, 689, 4550, 3594, 267, 707, 2707, 585, 1382, 4574, 267, 3594, 267, 543, 2165, 1957, 1806, 269, 9786, 607, 513, 26771, 3594, 281, 936, 476, 5197, 267, 1822, 2890, 7809, 607, 513, 26771, 3594, 267, 2890, 7809, 607, 513, 26771, 2165, 4574, 267, 2890, 7809, 607, 513, 26771, 1382, 1957, 267, 1433, 5359, 476, 7277, 476, 31275, 3594, 267, 2165, 543, 1382, 4574, 2139, 585, 19957, 1569, 269, 1772, 2890, 7809, 513, 26771, 713, 476, 277, 2985, 1867, 11828, 519, 5929, 4214, 540, 26771, 543, 875, 2890, 7809, 1281, 610, 1281, 711, 3514, 602, 6609, 1759, 593, 2596, 3741, 540, 2890, 31754, 15853, 8638, 476, 275, 2959, 269, 594, 10956, 281, 1018, 2306, 2890, 7809, 513, 26771, 568, 711, 741, 2344, 2671, 621, 568, 2965, 1454, 267, 1454, 12863, 538, 513, 2428, 9917, 961, 281, 621, 781, 602, 741, 3003, 1587, 1899, 26520, 2390, 1533, 11268, 540, 3656, 30049, 625, 540, 5918, 6473, 1572, 5299, 23412, 630, 7474, 781, 1018, 513, 10677, 568, 281, 513, 26771, 593, 519, 5918, 6473, 540, 606, 30608, 971, 607, 3301, 563, 763, 2890, 7809, 26771, 281, 9794, 795, 11055, 779, 4681, 4734, 1100, 3978, 8969, 602, 2890, 7809, 568, 513, 26771, 4534, 602, 568, 267, 602, 621, 19299, 2344, 1379, 538, 519, 2344, 585, 703, 601, 16327, 26702, 5665, 1949, 9794, 795, 11055, 13279, 713, 3932, 593, 1614, 2188, 269, 4828, 593, 562, 4912, 476, 276, 267, 476, 1960, 280, 267, 8664, 9794, 28114, 4050, 7615, 795, 11055, 10294, 835, 540, 519, 3056, 3301, 3549, 538, 519, 1158, 267, 513, 26771, 519, 8087, 2829, 262, 2229, 814, 1018, 616, 1572, 267, 25710, 6412, 4031, 267, 799, 2061, 513, 2754, 689, 2348, 513, 26771, 593, 513, 2344, 519, 721, 9901, 2890, 7809, 609, 19374, 540, 891, 4031, 267, 17548, 602, 789, 941, 555, 23702, 532, 971, 15712, 607, 267, 24437, 3874, 4044, 1807, 269, 901, 5673, 7494, 2390, 1018, 1858, 540, 2890, 7809, 779, 1870, 596, 616, 6998, 827, 538, 930, 2127, 540, 1870, 267, 2890, 7809, 568, 5693, 711, 513, 26771, 585, 1383, 267, 538, 519, 3406, 2599, 1870, 563, 19859, 7809, 607, 513, 26771, 1557, 1250, 2990, 2221, 568, 18445, 547, 596, 267, 707, 8956, 267, 602, 2890, 7809, 814, 1031, 30049, 2065, 2853, 543, 2344, 1379, 547, 6536, 513, 1875, 16327, 564, 1438, 2916, 2687, 547, 1357, 3122, 267, 513, 26771, 568, 519, 12600, 1852, 540, 513, 20161, 610, 3028, 538, 513, 2016, 2344, 269, 9786, 5604, 513, 26771, 1369, 513, 26771, 2890, 7809, 18294, 814, 1614, 2101, 30049, 625, 1369, 3294, 281, 5604, 267, 6885, 779, 267, 543, 4950, 24413, 2890, 7809, 5604, 568, 513, 26771, 602, 18795, 593, 1283, 540, 519, 9486, 26771, 543, 2306, 2724, 269, 968, 332, 2222, 7809, 19299, 630, 663, 585, 1896, 1296, 814, 22234, 264, 26771, 1379, 538, 519, 2344, 585, 2123, 2780, 5665, 1949, 892, 519, 5126, 8257, 10294, 1025, 520, 14688, 538, 476, 2735, 279, 10472, 1957, 786, 4983, 543, 2079, 519, 2601, 1946, 2890, 7809, 568, 513, 26771, 267, 10304, 6286, 607, 513, 26771, 543, 2436, 519, 2229, 6042, 568, 269, 634, 4661, 6069, 602, 952, 2890, 7809, 729, 547, 581, 2808, 513, 26771, 267, 621, 729, 693, 1655, 513, 1875, 18396, 2075, 633, 26771, 1004, 8359, 547, 2196, 2890, 7809, 9486, 593, 741, 5904, 563, 763, 2890, 7809, 26771, 1557, 476, 14444, 274, 1913, 1923, 476, 278, 3817, 519, 2890, 7809, 26771, 1775, 4367, 8087, 2829, 5288, 2890, 7809, 568, 835, 519, 4102, 267, 1034, 11786, 25710, 6412, 4031, 7057, 538, 7819, 1686, 269, 9786, 18294, 267, 476, 26562, 535, 274, 323, 476, 4097, 630, 26501, 4963, 476, 1220, 272, 1070, 568, 513, 721, 25710, 6412, 1876, 2013, 267, 12306, 676, 519, 8257, 540, 5126, 630, 4777, 329, 1070, 538, 799, 519, 2029, 2754, 2890, 7809, 729, 15034, 540, 8066, 513, 26771, 543, 2502, 538, 4550, 16327, 564, 1438, 2853, 14669, 547, 6810, 476, 272, 543, 476, 273, 540, 519, 521, 615, 2006, 25710, 6412, 957, 269, 9786, 26771, 607, 649, 782, 917, 267, 2890, 7809, 2531, 7149, 519, 2123, 2780, 781, 5665, 1062, 3592, 1169, 2780, 538, 3506, 267, 8021, 267, 13646, 267, 543, 1753, 568, 9280, 609, 2901, 9486, 476, 274, 269, 0, 306, 9321, 12519, 8155, 538, 519, 981, 538, 519, 6739, 1893, 281, 1612, 572, 4305, 589, 276, 454, 763, 19618, 1533, 6514, 538, 519, 6739, 1893, 3568, 513, 2243, 538, 519, 1101, 3625, 540, 4247, 267, 519, 2262, 532, 540, 799, 568, 711, 4625, 2312, 547, 1034, 20021, 269, 634, 1268, 1373, 7318, 1590, 3313, 538, 799, 540, 519, 5220, 513, 21342, 5470, 568, 1500, 267, 12077, 267, 519, 4852, 12519, 8155, 616, 26991, 269, 769, 930, 2665, 267, 519, 2626, 568, 6654, 267, 543, 519, 10927, 16022, 569, 23297, 519, 2626, 267, 1759, 593, 519, 834, 684, 10940, 257, 1702, 540, 519, 1893, 269, 8409, 540, 519, 16921, 585, 7247, 519, 1893, 568, 711, 5065, 616, 519, 23698, 267, 543, 789, 3323, 547, 1353, 621, 2663, 982, 519, 1866, 269, 10666, 476, 736, 260, 540, 1346, 7318, 798, 711, 11883, 609, 713, 4305, 19037, 269, 1924, 267, 538, 1931, 547, 2149, 3054, 689, 713, 5470, 538, 519, 15864, 3625, 540, 519, 1133, 1881, 3557, 11929, 910, 851, 589, 267, 596, 991, 547, 6430, 1018, 519, 4852, 12519, 8155, 616, 269, 1677, 798, 713, 267, 596, 1590, 1101, 11291, 513, 6626, 2596, 4214, 563, 1432, 568, 16105, 543, 1018, 568, 519, 1893, 10421, 888, 2414, 2626, 713, 2243, 267, 596, 991, 547, 1491, 513, 2736, 689, 519, 2497, 540, 519, 1893, 3294, 269, 898, 1034, 5702, 20998, 513, 3818, 2000, 599, 1229, 14735, 269, 1703, 616, 1896, 6106, 538, 621, 910, 6810, 267, 519, 1702, 540, 799, 1058, 3514, 2879, 1872, 569, 538, 519, 2875, 781, 2212, 865, 602, 646, 666, 1294, 519, 2462, 4605, 269, 2334, 568, 1946, 267, 2907, 689, 519, 476, 276, 628, 3446, 267, 519, 1353, 540, 519, 1641, 4386, 538, 5933, 269, 5455, 547, 519, 18749, 3446, 267, 607, 513, 4341, 267, 1453, 616, 5189, 547, 19916, 910, 513, 3296, 593, 2694, 540, 4633, 269, 769, 1164, 1153, 267, 811, 16105, 568, 6594, 269, 28900, 267, 824, 6810, 630, 874, 517, 7497, 267, 6863, 267, 2511, 267, 3092, 4700, 3112, 581, 16053, 269, 1809, 1510, 1702, 540, 891, 1079, 834, 3369, 2297, 257, 910, 19916, 543, 16105, 267, 621, 568, 7543, 547, 1174, 519, 8239, 11482, 9155, 2687, 547, 799, 1913, 616, 5916, 883, 6209, 1893, 12415, 616, 2808, 538, 16105, 269, 29941, 543, 2453, 798, 711, 2408, 267, 952, 519, 4559, 540, 799, 789, 616, 7768, 267, 795, 582, 1524, 538, 4351, 1931, 269, 769, 1931, 547, 2769, 513, 1978, 2856, 267, 649, 782, 796, 4621, 19290, 946, 1978, 10409, 4031, 269, 3962, 540, 721, 267, 1247, 1869, 513, 9251, 518, 267, 814, 27058, 519, 1292, 851, 540, 971, 3652, 269, 1280, 1383, 267, 602, 519, 17076, 538, 513, 4845, 568, 1034, 1419, 8612, 676, 513, 2262 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 514, 13239, 9941, 570, 22568, 543, 12472, 779, 7033, 564, 762, 454, 7197, 1004, 3100, 23387, 540, 519, 1249, 602, 267, 538, 2487, 1296, 267, 3744, 723, 11552, 691, 1117, 1082, 21300, 7633, 689, 1472, 519, 1158, 602, 616, 711, 4625, 8093, 1242, 269, 11569, 267, 21300, 7633, 609, 16856, 2571, 267, 8465, 267, 32248, 5160, 1058, 2014, 4720, 1235, 547, 12517, 2243, 741, 3069, 602, 17878, 4682, 17255, 476, 4792, 13807, 639, 2929, 1296, 3516, 563, 3963, 17372, 519, 6520, 540, 519, 3047, 888, 7437, 519, 1296, 267, 1082, 10271, 723, 20402, 519, 2085, 540, 519, 3047, 269, 6496, 621, 2731, 2339, 952, 519, 3047, 568, 5215, 610, 17542, 540, 1296, 2025, 286, 4208, 1281, 621, 2339, 547, 8567, 693, 782, 286, 769, 713, 3381, 267, 18238, 10370, 976, 4267, 891, 2055, 607, 646, 11828, 519, 2956, 540, 13400, 5168, 563, 300, 4275, 3380, 543, 3047, 781, 2561, 1861, 6520, 454, 1692, 2025, 1281, 3047, 2408, 286, 1284, 5781, 6218, 519, 2085, 540, 1004, 267, 2436, 789, 616, 1453, 610, 4079, 267, 610, 2436, 789, 616, 7820, 610, 4587, 982, 649, 616, 269, 1215, 798, 649, 5635, 519, 2085, 540, 3047, 286, 2755, 1082, 25077, 602, 938, 4541, 5526, 547, 581, 1360, 2025, 267, 1100, 835, 814, 2938, 513, 4541, 1106, 610, 1332, 998, 922, 5933, 269, 1772, 972, 513, 3017, 1063, 3047, 779, 7805, 2085, 543, 922, 4890, 2085, 888, 10048, 543, 519, 6520, 540, 519, 3047, 454, 3674, 18495, 513, 3448, 30226, 518, 547, 3047, 286, 13201, 519, 1686, 540, 3047, 1044, 17542, 540, 1296, 540, 1646, 609, 812, 1152, 5063, 513, 851, 540, 602, 15415, 286, 15012, 18238, 10370, 976, 607, 646, 11828, 812, 543, 519, 2085, 540, 519, 3047, 538, 6935, 547, 519, 28868, 2016, 676, 4720, 543, 519, 6426, 563, 290, 516, 566, 281, 17214, 610, 3816, 1228, 888, 2691, 2696, 1500, 519, 1158, 267, 2687, 547, 19606, 476, 272, 543, 476, 273, 267, 729, 621, 7357, 513, 1007, 5137, 610, 729, 621, 1121, 1228, 286, 1879, 31519, 476, 736, 281, 1556, 3081, 834, 514, 3670, 2395, 519, 7083, 1500, 519, 30723, 543, 519, 3618, 2437, 568, 713, 513, 4704, 547, 513, 5137, 689, 4986, 267, 610, 513, 556, 1922, 5831, 532, 602, 7018, 552, 976, 2663, 286, 7427, 2059, 609, 18238, 10370, 976, 607, 646, 11828, 519, 2241, 1913, 543, 2453, 540, 519, 20520, 2272, 563, 763, 4303, 6520, 7869, 454, 288, 2442, 3069, 602, 3096, 1279, 5712, 540, 942, 547, 2491, 519, 13400, 20520, 2272, 568, 1572, 519, 4303, 5025, 613, 7869, 269, 2052, 513, 4168, 3494, 713, 3069, 779, 6811, 286, 6496, 621, 8308, 3514, 1369, 2696, 779, 6478, 286, 769, 713, 3381, 267, 18238, 11828, 713, 3069, 267, 922, 6811, 267, 543, 2488, 513, 2143, 1413, 693, 1018, 23075, 3081, 563, 290, 516, 566, 12411, 639, 12472, 776, 20048, 1108, 454, 2467, 568, 1100, 7521, 602, 2696, 1223, 723, 2813, 519, 17807, 538, 1022, 2179, 540, 942, 543, 538, 1022, 1259, 1261, 5551, 269, 1717, 267, 519, 6426, 2488, 585, 721, 519, 5730, 1931, 538, 799, 2696, 2813, 519, 17807, 267, 607, 2143, 676, 2696, 13924, 1345, 269, 15012, 18238, 10370, 976, 607, 646, 19776, 543, 24716, 519, 5169, 12225, 3098, 13890, 538, 519, 6426, 609, 1346, 2016, 676, 4720, 563, 2691, 9894, 2696, 8073, 519, 6129, 888, 1103, 19606, 267, 649, 1224, 519, 13400, 2272, 540, 519, 17963, 540, 20520, 543, 1294, 602, 2696, 1500, 519, 6129, 593, 1554, 2185, 269, 1717, 267, 607, 1082, 1004, 2119, 547, 954, 332, 1460, 4720, 543, 5137, 267, 513, 14845, 2243, 14340, 281, 1879, 1705, 2696, 1711, 519, 6129, 286, 769, 713, 1982, 267, 18238, 10370, 976, 4267, 713, 2243, 689, 513, 13400, 5133, 543, 2982, 602, 621, 454, 27745, 18972, 5620, 700, 1882, 609, 20550, 14795, 888, 6097, 547, 4720, 267, 17878, 2968, 17255, 936, 476, 2568, 2929, 1296, 3516, 543, 941, 2760, 9800, 693, 519, 1482, 942, 607, 812, 269, 1215, 1281, 713, 6609, 585, 519, 21300, 15415, 6474, 609, 519, 6426, 781, 6609, 540, 2696, 781, 5137, 538, 19606, 286, 21518, 17878, 2813, 2059, 609, 824, 20641, 267, 11864, 543, 5017, 1282, 519, 20520, 10432, 286, 15012, 18238, 10370, 976, 607, 646, 11828, 713, 10578, 2243, 269, 0, 3528, 18637, 2421, 15188, 344, 454, 310, 340, 2098, 564, 1014, 630, 277, 2190, 268, 3583, 276, 264, 729, 3227, 816, 931, 677, 540, 3624, 998, 1200, 7365, 547, 14890, 717, 7776, 345, 784, 267, 543, 2663, 2968, 3227, 816, 9419, 4526, 543, 1036, 550, 585, 1200, 14930, 11809, 784, 345, 784, 543, 22859, 714, 784, 269, 2701, 2663, 2968, 519, 1101, 3227, 816, 1036, 333, 656, 540, 3624, 563, 29820, 538, 519, 590, 747, 10224, 11662, 540, 700, 714, 17924, 547, 18961, 1744, 12011, 826, 543, 15248, 18708, 593, 476, 1704, 5988, 476, 277, 2190, 267, 649, 723, 1100, 2594, 540, 18961, 779, 4332, 2012, 269, 4438, 519, 476, 25953, 338, 267, 607, 513, 21717, 18961, 2098, 564, 1014, 9411, 519, 11440, 19289, 607, 513, 6677, 889, 710, 540, 519, 11359, 7584, 563, 5475, 519, 2669, 540, 519, 14890, 19248, 714, 784, 267, 18961, 2098, 564, 1014, 2968, 513, 562, 684, 540, 519, 14418, 717, 1415, 324, 11454, 269, 1717, 267, 5927, 816, 15651, 267, 519, 7385, 540, 519, 8011, 532, 14890, 717, 7776, 345, 784, 267, 9415, 717, 7776, 345, 784, 779, 1860, 687, 585, 18961, 2098, 564, 1014, 538, 13922, 540, 8420, 5217, 513, 19463, 6677, 889, 710, 267, 2473, 26820, 1744, 340, 10623, 328, 563, 29248, 816, 15651, 779, 1544, 8959, 267, 609, 1312, 9887, 543, 2473, 26820, 1744, 340, 10623, 328, 1373, 1244, 2216, 16172, 1310, 18961, 2098, 564, 1014, 779, 2132, 547, 519, 11440, 19289, 269, 18961, 2098, 564, 1014, 729, 15469, 547, 519, 4567, 540, 968, 4897, 17155, 931, 677, 5608, 543, 2663, 2968, 519, 1007, 3227, 816, 563, 763, 1007, 3227, 816, 9450, 1200, 5121, 267, 11543, 1489, 689, 5640, 543, 2367, 540, 4984, 689, 519, 14418, 543, 667, 7776, 626, 8371, 269, 769, 476, 6924, 274, 267, 717, 7776, 345, 784, 5747, 540, 606, 4576, 543, 729, 16309, 676, 1010, 3791, 5067, 609, 18961, 2098, 564, 1014, 267, 14890, 11809, 784, 345, 784, 267, 2705, 646, 729, 16172, 1244, 2216, 563, 5194, 5067, 267, 1634, 607, 14890, 22859, 714, 784, 630, 337, 269, 476, 6924, 275, 268, 277, 3445, 1070, 16309, 1864, 269, 22859, 714, 784, 4371, 2370, 1379, 267, 609, 18961, 2921, 2407, 1852, 540, 519, 11440, 5480, 269, 769, 476, 277, 3445, 267, 22859, 714, 784, 26857, 1379, 547, 18961, 267, 543, 1352, 3964, 9887, 607, 3227, 816, 1036, 333, 656, 540, 519, 31481, 15913, 563, 310, 340, 779, 12081, 729, 6825, 676, 1200, 946, 540, 5728, 7128, 267, 11440, 8395, 1132, 267, 543, 1200, 7694, 540, 1148, 543, 13513, 267, 7258, 1200, 3909, 20174, 267, 547, 13686, 1200, 6392, 543, 4341, 269, 4173, 4576, 538, 1200, 2663, 1296, 4718, 1249, 1308, 26675, 585, 519, 24288, 547, 519, 17599, 563, 4002, 476, 2641, 5988, 476, 3583, 276, 267, 18961, 3957, 11809, 784, 345, 784, 607, 1036, 550, 267, 543, 519, 1739, 1554, 1352, 8815, 547, 1780, 519, 17599, 547, 11809, 784, 345, 784, 269, 634, 1554, 1310, 713, 6876, 4718, 11809, 784, 345, 784, 18005, 1427, 820, 519, 17599, 267, 609, 18961, 6410, 547, 1744, 836, 344, 836, 19289, 563, 310, 340, 5747, 593, 476, 1626, 5412, 476, 3583, 276, 267, 543, 729, 12617, 609, 14890, 717, 7776, 345, 784, 693, 1627, 1014, 1782, 8575, 639, 1961, 636, 896, 11809, 784, 345, 784, 779, 9753, 269, 4014, 18961, 8547, 519, 31481, 15913, 267, 621, 3459, 543, 8694, 609, 1200, 267, 607, 11809, 784, 345, 784, 779, 1569, 542, 5368, 26061, 519, 19358, 15913, 563, 292, 5894, 2896, 3279, 2051, 5055, 267, 968, 2691, 634, 14890, 568, 589, 19716, 281, 634, 8865, 540, 18961, 2098, 564, 1014, 17276, 511, 355, 31176, 485, 14035, 358, 630, 277, 2190, 268, 3583, 276, 1070, 634, 968, 10387, 15975, 540, 24656, 2223, 538, 589, 12660, 542, 547, 6820, 19803, 1222, 267, 1196, 1421, 4432, 6511, 8381, 21492, 267, 476, 1724, 268, 1839, 630, 8649, 23165, 281, 20211, 28299, 4964, 267, 476, 1001, 279, 994, 301, 269, 16452, 681, 16251, 18876, 267, 18961, 2098, 29697, 281, 3624, 779, 8307, 19716, 14890, 630, 26780, 281, 21942, 267, 476, 1220, 279, 994, 301, 269, 16452, 681, 16251, 18876, 267, 14890, 18961, 2098, 29697, 543, 4173, 23202, 515, 517, 540, 1546, 529, 267, 6555, 514, 885, 267, 543, 667, 2106, 2880, 12624, 338, 630, 6124, 3840, 281, 12052, 2160, 4964, 267, 476, 1001, 276, 1040, 0, 763, 8219, 602, 2186, 267, 20647, 543, 2199, 1125, 4761, 268, 5562, 2281, 616, 24298, 607, 519, 30754, 1505, 269, 901, 2731, 568, 2417, 1016, 323, 22866, 538, 547, 519, 1883, 30754, 4480, 607, 1134, 607, 519, 6281, 30754, 1982, 269, 634, 8219, 540, 707, 1292, 30754, 1982, 6451, 519, 5642, 20768, 543, 555, 2096, 639, 269, 634, 6281, 30754, 1062, 5161, 593, 519, 9726, 334, 788, 527, 16773, 8219, 630, 307, 976, 8759, 5493, 520, 2088, 267, 570, 976, 8759, 943, 18974, 613, 320, 267, 570, 976, 8759, 16321, 807, 267, 570, 976, 8759, 19388, 783, 529, 1070, 519, 29935, 9245, 23938, 30754, 5160, 630, 324, 3052, 269, 631, 3201, 307, 264, 607, 1134, 607, 519, 9726, 648, 6776, 983, 8219, 267, 547, 799, 519, 9726, 9136, 543, 838, 22220, 4866, 950, 21947, 609, 513, 19800, 267, 519, 865, 10777, 4761, 5114, 610, 4761, 3210, 2501, 883, 1198, 269, 898, 5963, 568, 1271, 547, 1174, 602, 519, 4761, 5114, 1152, 9247, 6238, 950, 513, 19800, 936, 3699, 519, 7344, 8825, 7496, 540, 938, 26430, 269, 769, 4915, 267, 519, 2010, 540, 4761, 6547, 568, 2356, 9286, 538, 1899, 609, 1082, 2609, 563, 1103, 519, 8760, 1759, 593, 519, 942, 540, 6454, 267, 513, 11984, 568, 1500, 538, 1063, 519, 17916, 1875, 10391, 543, 519, 13261, 1978, 4761, 5114, 269, 26735, 622, 1875, 10391, 4761, 5114, 10738, 519, 1875, 10391, 4761, 5114, 267, 519, 19800, 568, 7620, 12842, 676, 943, 698, 14231, 543, 10032, 269, 1284, 616, 6158, 827, 865, 10777, 13805, 24975, 943, 698, 26014, 2670, 267, 799, 10838, 824, 2188, 5645, 856, 676, 519, 31457, 543, 11491, 592, 14231, 269, 634, 4611, 15998, 540, 519, 19800, 616, 4843, 585, 519, 2281, 593, 519, 1880, 4761, 8878, 630, 289, 543, 570, 9726, 14231, 264, 630, 3591, 517, 1436, 1040, 11154, 633, 1880, 4761, 3210, 634, 13261, 5730, 4761, 3210, 568, 9859, 1996, 513, 1978, 18970, 538, 519, 26430, 602, 779, 4867, 1634, 547, 519, 1560, 269, 10738, 519, 10408, 8878, 267, 519, 570, 9726, 14231, 616, 3742, 267, 538, 519, 1208, 7394, 8878, 519, 12489, 540, 645, 9726, 14231, 269, 10738, 519, 8317, 540, 513, 3644, 3968, 267, 519, 18970, 1459, 31591, 11118, 25570, 570, 2281, 630, 307, 20740, 2281, 1070, 799, 538, 2490, 6861, 519, 4914, 533, 4815, 2243, 8808, 3584, 1591, 609, 31432, 1231, 543, 11491, 10405, 269, 769, 519, 2013, 538, 519, 5730, 4761, 5114, 267, 513, 11984, 1590, 581, 2813, 1851, 519, 631, 18449, 16927, 543, 631, 18449, 268, 2862, 5114, 3330, 519, 5943, 538, 519, 12830, 2876, 24899, 6312, 2225, 1290, 24128, 630, 300, 18449, 1040, 631, 18449, 616, 7533, 11919, 9245, 5946, 799, 1522, 581, 2565, 1369, 519, 18970, 6881, 689, 519, 4761, 3210, 563, 300, 18449, 16927, 24975, 4761, 3210, 281, 286, 10738, 519, 8317, 540, 513, 3644, 3968, 267, 8290, 22467, 3433, 519, 26430, 2281, 543, 30075, 3940, 23838, 267, 8808, 5115, 7723, 610, 326, 799, 538, 2490, 616, 17146, 547, 519, 631, 18449, 16927, 11140, 269, 7261, 339, 25570, 570, 9726, 14231, 5431, 11941, 3330, 519, 631, 18449, 1950, 543, 6861, 519, 28115, 730, 1591, 269, 631, 18449, 268, 2862, 24975, 4761, 5114, 281, 286, 631, 18449, 268, 2862, 5946, 616, 17479, 1472, 519, 2627, 540, 18970, 1790, 6974, 532, 2281, 543, 949, 1491, 909, 4914, 26898, 883, 519, 1439, 25593, 269, 5221, 540, 713, 267, 15998, 540, 519, 18970, 4283, 519, 631, 18449, 268, 2862, 1950, 267, 602, 568, 6444, 676, 570, 25961, 2281, 269, 634, 570, 25961, 2281, 1287, 20006, 519, 1978, 4179, 2517, 339, 655, 921, 12975, 270, 611, 332, 3827, 270, 12392, 3491, 32216, 4761, 3210, 547, 519, 6444, 18970, 563, 1103, 4915, 267, 621, 5963, 568, 1713, 547, 581, 538, 513, 2990, 547, 16174, 1063, 519, 10408, 7132, 519, 1208, 7394, 4761, 3210, 950, 1362, 4328 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1103, 11894, 267, 13212, 6738, 538, 8832, 26277, 16288, 267, 634, 4563, 7256, 9381, 3148, 634, 6239, 26277, 16288, 543, 8109, 26277, 16288, 267, 1703, 616, 3670, 2186, 540, 13212, 8677, 602, 649, 1683, 547, 938, 5561, 269, 2353, 891, 13212, 1332, 538, 938, 1378, 10651, 269, 1284, 3560, 891, 5863, 13212, 538, 513, 12905, 6073, 547, 8190, 922, 2067, 1145, 543, 4195, 1145, 563, 291, 3072, 4829, 568, 4829, 689, 799, 519, 5354, 540, 519, 3312, 1216, 1543, 814, 1044, 6569, 2901, 6923, 267, 998, 3141, 15018, 267, 610, 998, 519, 946, 540, 7463, 3819, 619, 610, 13204, 21116, 269, 667, 3072, 4829, 814, 513, 1279, 2245, 540, 946, 6580, 1394, 547, 519, 8772, 26992, 7460, 538, 27859, 267, 543, 568, 17028, 7458, 1317, 540, 922, 6653, 6492, 267, 4333, 633, 1871, 267, 543, 1279, 15808, 1272, 269, 11894, 814, 1360, 3638, 3338, 538, 2474, 540, 1332, 12015, 5613, 543, 782, 17580, 10808, 1547, 1520, 2779, 720, 540, 519, 938, 2197, 649, 2709, 547, 938, 5561, 1655, 12015, 5613, 602, 649, 1683, 1142, 1808, 835, 689, 1114, 2244, 851, 540, 519, 11894, 269, 2755, 1655, 6328, 601, 22756, 9428, 538, 3345, 9381, 540, 519, 2197, 267, 16537, 778, 1470, 630, 294, 1794, 5050, 788, 267, 15662, 508, 534, 331, 13799, 584, 17304, 264, 543, 3819, 3284, 878, 1824, 630, 22416, 520, 5984, 264, 814, 513, 8748, 3338, 538, 8828, 26277, 16288, 547, 2709, 519, 1158, 891, 2298, 2472, 563, 290, 527, 6350, 568, 513, 12593, 540, 15496, 4054, 543, 19211, 538, 519, 678, 826, 1920, 267, 31089, 19687, 269, 12518, 538, 519, 12593, 3132, 20521, 5613, 267, 1519, 1271, 7031, 899, 24453, 267, 19790, 976, 267, 18812, 26258, 267, 533, 558, 601, 334, 543, 561, 1307, 269, 634, 1072, 2640, 540, 20521, 5613, 616, 7961, 10179, 762, 543, 1018, 2306, 873, 2027, 568, 602, 6306, 689, 1373, 2635, 267, 789, 616, 8949, 1932, 269, 11894, 814, 1360, 3638, 3338, 538, 2474, 540, 3761, 20521, 5613, 269, 1284, 1683, 547, 938, 5561, 4195, 543, 1655, 2472, 689, 938, 1378, 4677, 267, 1141, 713, 5863, 5613, 1332, 538, 8076, 11335, 851, 540, 519, 2197, 269, 0, 6124, 2090, 1265, 519, 26300, 15362, 28661, 476, 273, 296, 20324, 528, 529, 990, 568, 519, 1034, 834, 1440, 25434, 257, 2479, 4362, 563, 3080, 540, 519, 1152, 26300, 15362, 8436, 2479, 4362, 21986, 532, 938, 9891, 3590, 267, 519, 887, 326, 826, 28661, 476, 273, 331, 20324, 528, 529, 990, 267, 568, 849, 835, 540, 519, 1034, 834, 1440, 25434, 257, 971, 2230, 3615, 2479, 269, 634, 28661, 267, 799, 729, 1101, 19481, 538, 476, 1001, 280, 676, 519, 23153, 21977, 31485, 2637, 333, 8014, 16907, 529, 990, 267, 2693, 2760, 24363, 1932, 2673, 547, 1022, 5182, 1519, 938, 3141, 267, 799, 2451, 922, 5888, 1360, 2147, 547, 875, 621, 729, 2390, 5250, 563, 4467, 1115, 267, 799, 616, 2230, 4703, 1500, 540, 13792, 3154, 267, 4224, 267, 543, 4672, 267, 616, 2356, 12936, 676, 519, 3002, 543, 5982, 789, 7237, 593, 741, 1259, 269, 1548, 781, 10694, 547, 3744, 538, 4974, 635, 1115, 602, 10093, 1405, 4957, 1454, 538, 741, 3076, 564, 1307, 568, 602, 789, 723, 513, 2147, 5888, 547, 519, 3154, 543, 7452, 602, 729, 1459, 693, 519, 5250, 540, 519, 9891, 3590, 476, 275, 269, 276, 5479, 1296, 3516, 269, 22718, 29814, 635, 1115, 666, 1291, 547, 513, 4514, 1620, 540, 519, 9891, 3590, 781, 20297, 543, 4720, 563, 763, 476, 273, 296, 20324, 528, 529, 990, 28661, 568, 1152, 519, 2034, 26300, 15362, 1843, 2479, 1336, 538, 938, 9891, 3590, 269, 634, 1101, 835, 729, 476, 272, 296, 270, 262, 302, 636, 340, 600, 7699, 267, 9571, 538, 476, 1001, 278, 563, 763, 1007, 1353, 267, 1759, 593, 7422, 689, 519, 3864, 8828, 25076, 781, 15020, 14066, 23571, 630, 2464, 302, 781, 966, 299, 307, 264, 538, 16266, 267, 729, 3366, 676, 853, 1030, 8457, 645, 1725, 25222, 540, 519, 14022, 27895, 25076, 543, 14136, 10740, 538, 8832, 8581, 563, 257, 273, 296, 20324, 528, 529, 990, 1223, 2099, 519, 1101, 5963, 29814, 28661, 2479, 4767, 2437, 1767, 645, 1725, 25222, 563, 763, 476, 273, 296, 20324, 528, 529, 990, 26300, 15362, 28661, 9676, 609, 519, 966, 299, 307, 5861, 13072, 281, 2464, 302, 23860, 269, 670, 664, 2246, 454, 2026, 4080, 538, 7186, 18058, 267, 1010, 2319, 1031, 513, 4480, 1572, 8701, 574, 4479, 267, 799, 3800, 519, 26445, 540, 1769, 267, 547, 1353, 519, 2230, 1560, 269, 901, 5280, 519, 2319, 5635, 476, 273, 296, 20324, 528, 529, 990, 547, 824, 2199, 635, 1115, 269, 634, 3601, 540, 519, 1007, 28661, 941, 3833, 1114, 689, 1866, 789, 1336, 538, 519, 9891, 3590, 267, 4849, 585, 670, 1446, 5174, 31463, 267, 513, 28661, 4362, 538, 476, 1960, 276, 799, 568, 849, 2808, 1360, 29814, 563, 763, 1353, 781, 1071, 27236, 19499, 1729, 8426, 3626, 689, 519, 8330, 5268, 9713, 25076, 540, 8776, 3626, 267, 7977, 267, 29499, 2390, 713, 4276, 267, 8452, 693, 676, 7421, 26445, 2059, 609, 519, 28661, 781, 2681, 912, 10454, 1249, 602, 519, 1079, 635, 1115, 616, 26526, 2147, 5267, 602, 519, 1604, 538, 799, 476, 273, 296, 20324, 528, 529, 990, 12090, 568, 711, 865, 1114, 538, 5888, 689, 519, 1604, 538, 519, 2038, 9891, 3590, 1701, 563, 1103, 513, 4241, 12162, 547, 1175, 875, 3532, 3047, 781, 1283, 24985, 723, 1831, 267, 1776, 1305, 540, 11536, 302, 3173, 3370, 513, 1114, 1353, 538, 7186, 18395, 593, 519, 28661, 781, 5888, 1210, 1239, 689, 519, 2311, 659, 4821, 14066, 7085, 9014, 4882, 889, 17524, 9014, 26275, 630, 3201, 7246, 1040, 901, 2319, 267, 3366, 676, 31485, 23642, 18708, 267, 729, 2111, 547, 5531, 1082, 10881, 827, 476, 273, 296, 20324, 528, 529, 990, 781, 17539, 689, 922, 635, 320, 1107, 519, 23508, 540, 7452, 4478, 621, 269, 18738, 519, 635, 320, 267, 789, 4362, 11741, 890, 6277, 956, 267, 9274, 1472, 835, 1984, 9014, 538, 2450, 269, 1358, 1223, 849, 2995, 602, 519, 3448, 5666, 540, 3327, 24785, 543, 1216, 538, 519, 28661, 4957, 3648, 607, 621, 3357, 6251, 547, 519, 6129, 563, 1607, 8612, 547, 873, 602, 519, 2326, 538, 519, 28661, 3357, 689, 1114, 4025, 538, 519, 26355, 269, 17460, 538, 519, 28661, 781, 1753, 5182, 1062, 729, 2693, 6404, 538, 513, 20559, 1043, 4806, 602, 1644, 547, 875, 2484, 519, 28661, 729, 689, 922, 5182, 267, 1336, 519, 3744, 269, 901, 729, 7654, 4299, 676, 519, 4527, 540, 9649, 10785, 267, 799, 13489, 1042, 909, 2326, 538, 741, 1062, 998, 2178, 8904, 269, 13562, 12002, 1589, 713, 2186, 540, 1184, 849, 3576, 1747, 538, 519, 2038, 1974, 540, 519, 9891, 3590, 781, 1272, 563, 257, 5331, 875, 18822, 649, 941, 602, 513, 28661, 689, 513, 1062, 1769, 26188, 2476, 3274, 3576, 513, 7552, 547, 938, 7450, 21163, 676, 4960, 2437, 6376, 539, 18708, 563, 1103, 476, 1708, 280, 267, 519, 3864, 6611, 10837, 4566, 547, 10131, 519, 1290, 564, 3955, 1061, 528, 1788, 602, 1131, 1450, 3744, 547, 1353, 635, 1115, 602, 3432, 998, 938, 9891, 3590, 609, 1256, 3152, 8856, 563, 4462, 1652, 596, 1544, 547, 2119, 1586, 538, 476, 277, 267, 8517, 1296, 267, 713, 3018, 568, 707, 8929, 563, 268, 1290, 564, 17252, 8582, 30990, 786, 581, 1034, 7298, 538, 519, 772, 2529, 269, 1282, 519, 1256, 902, 689, 5147, 476, 1691, 268, 866, 267, 476, 1708, 271, 563, 268, 2991, 5147, 476, 2537, 6113, 267, 17252, 8582, 30990, 786, 581, 7298, 1152, 998, 1434, 10822, 22811, 338, 543, 24985, 563, 268, 6733, 538, 519, 32720, 6607, 2630, 519, 8262, 667, 23124, 1310, 546, 23677, 1247, 972, 781, 513, 4960, 563, 308, 11520, 12442, 281, 8331, 568, 31076, 513, 8331, 3163, 14970, 12558, 10223, 1290, 564, 17252, 8582, 30990, 269, 8331, 4966, 786, 1865, 543, 2626, 1857, 2055, 4098, 693, 476, 274, 15014, 29643, 593, 13723, 267, 5147, 476, 1428, 269, 570, 2317, 538, 3842, 519, 8116, 781, 3896, 267, 9365, 14970, 267, 13334, 267, 3131, 4593, 2100, 267, 21912, 1103, 267, 3828, 3558, 267, 610, 2475, 307, 3918, 4456, 563, 6524, 2063, 10543, 267, 5147, 476, 1691, 267, 476, 1708, 271, 267, 519, 15864, 1259, 547, 1294, 1290, 564, 17252, 8582, 30990, 2443, 519, 6505, 652, 28661, 547, 24680, 2250, 3047, 2094, 476, 3192, 278, 781, 1290, 564, 670, 1446, 5174, 31463, 2443, 689, 519, 2136, 2276, 729, 547, 6952, 621, 827, 606, 5662, 1354, 3141, 23438, 269, 3767, 267, 2705, 267, 596, 666, 1294, 621, 538, 519, 10543, 267, 1141, 621, 786, 2611, 585, 2394, 519, 476, 866, 628, 269, 901, 568, 513, 17386, 1810, 1405, 2173, 1170, 2680, 2443, 17252, 8582, 30990, 4465, 1405, 581, 4947, 1394, 938, 1259, 585, 1776, 476, 277, 267, 8517, 1296, 269, 898, 781, 519, 1101, 2101, 28661, 540, 519, 26992, 267, 543, 676, 782, 6589, 267, 621, 781, 20605, 563, 20911, 8582, 30990, 1175, 3893, 1394, 689, 519, 6129, 454, 290, 2210, 17252, 8582, 30990, 568, 3957, 1310, 519, 8331, 18342, 2230, 16263, 602, 1101, 19481, 621, 593, 4728, 476, 2767, 628, 269, 4706, 4013, 1395, 32304, 568, 595, 270, 1708, 271, 674, 274, 269, 898, 781, 6059, 602, 519, 476, 5390, 28661, 568, 827, 1614, 5195, 2066, 267, 711, 10203, 922, 2766, 563, 20911, 8582, 30990, 568, 1631, 16144, 2476, 689, 938, 6129, 267, 2348, 1500, 621, 5008, 564, 1935, 267, 476, 2767, 269, 275, 2929, 5195, 267, 547, 938, 5182, 593, 5147, 476, 274, 269, 634, 3002, 689, 602, 7237, 568, 1018, 781, 2016, 17252, 8582, 30990, 922, 2766, 281, 898, 3361, 3154, 543, 7452, 547, 581, 5950, 689, 519, 476, 5390, 1843, 267, 2870, 519, 2766, 540, 11935, 602, 5654, 865, 9589, 689, 1934, 563, 2026, 17252, 8582, 30990, 7575, 6251, 547, 3047, 267, 19433, 1227, 267, 621, 786, 581, 1447, 543, 1447, 7298, 269, 1635, 827, 5147, 476, 2537, 6113, 267, 596, 3513, 991, 10822, 22811, 338, 610, 513, 16263, 547, 1294, 621, 693, 782, 269, 2353, 540, 799, 2306, 713, 3018, 6305, 942, 563, 2304, 10543, 10508, 454, 15862, 2707, 281, 1325, 2716, 343, 663, 541, 270, 4537, 13616, 18450, 270, 19136, 6056, 454, 5575, 267, 1265, 606, 796, 984, 560, 1192, 539, 2070, 540, 519, 22070, 6607, 267, 1863, 540, 8265, 7547, 267, 1286, 2212, 7547, 267, 19887, 8279, 267, 543, 865, 593, 269, 1656, 1287, 267, 2687, 547, 21708, 1299, 23571, 912, 257, 9359, 3168, 827, 835, 5662, 1310, 23863, 267, 950, 596, 3513, 1265, 621, 1175, 936, 519, 32720, 16880, 607, 519, 2063, 540, 1000, 559, 697, 535, 3547, 883, 14334, 4799, 2005, 1058, 581, 2653, 547, 5544, 2094, 621, 781, 2282, 547, 835, 540, 519, 1034, 25992, 20035, 725, 909, 972, 267, 519, 8262, 667, 23124, 269, 834, 16100, 827, 1614, 535, 1235, 2630, 519, 5377, 540, 519, 8262, 667, 23124, 267, 799, 568, 16304, 1524, 676, 922, 6023, 1164, 1657, 267, 543, 689, 972, 5310, 513, 2370, 547, 519, 1318, 1701, 18264, 642, 11798, 14504, 281, 1290, 564, 17252, 8582, 30990, 563, 306, 904, 21708, 1299, 23571, 781, 667, 10005, 30567, 1731, 664, 523, 267, 834, 16100, 585, 513, 25861, 267, 27967, 2370, 1412, 28588, 262, 609, 513, 535, 664, 614, 267, 8034, 3960, 1512, 2370, 2766, 14178, 16057, 689, 621, 4799, 763, 28661, 1058, 581, 7298, 609, 519, 21736, 3750, 267, 1498, 10822, 22811, 338, 543, 513, 2241, 16263, 949, 7866, 811, 1469, 563, 2791, 949, 849, 581, 2111, 547, 26882, 513, 8666, 540, 713, 2027, 21233, 267, 1498, 596, 3513, 991, 519, 1318, 10591, 547, 798, 865, 269, 589, 6131, 8254, 568, 811, 2693, 547, 7001, 513, 1434, 8929, 982, 513, 15146, 267, 855, 538, 2901, 2013, 267, 596, 3513, 991, 513, 7552, 617, 610, 930, 824, 1797, 540, 8066, 519, 8254, 4666, 1869, 607, 621, 3217, 513, 31764, 4598, 540, 1896, 7643, 630, 2254, 782, 11436, 666, 798, 713, 1916, 1432, 4523, 1310, 513, 5230, 28661, 7594, 888, 268, 589, 28661, 7472, 543, 6397, 23292, 552, 20287, 540, 4672, 267, 7452, 267, 543, 3154, 563, 268, 8331, 781, 570, 8577, 15408, 19306, 519, 2898, 3364, 676, 8009, 563, 268, 634, 834, 10767, 335, 257, 949, 723, 2451, 513, 28188, 476, 4792, 3952, 2066, 269, 2334, 781, 3833, 513, 3276, 335, 563, 2691, 8331, 8036, 741, 3690, 1746, 1401, 26979, 564, 11752, 31420, 267, 589, 25605, 570, 8577, 267, 693, 1290, 564, 476, 5379, 303, 270, 310, 7398, 534, 523, 267, 789, 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 ]
[ 476, 5038, 273, 276, 267, 476, 5038, 273, 276, 267, 476, 5038, 273, 277, 267, 476, 5038, 273, 277, 267, 476, 5038, 273, 278, 267, 476, 5038, 273, 278, 267, 476, 5038, 273, 279, 267, 476, 5038, 273, 279, 267, 476, 5038, 273, 280, 267, 476, 5038, 273, 280, 267, 476, 5038, 274, 271, 267, 476, 5038, 274, 271, 267, 476, 5038, 274, 272, 267, 476, 5038, 274, 272, 267, 476, 5038, 274, 273, 267, 476, 5038, 274, 273, 267, 476, 5038, 274, 274, 267, 476, 5038, 274, 274, 267, 476, 5038, 274, 275, 267, 476, 5038, 274, 275, 267, 476, 5038, 274, 276, 267, 476, 5038, 274, 276, 267, 476, 5038, 274, 277, 267, 476, 5038, 274, 277, 267, 476, 5038, 274, 278, 267, 476, 5038, 274, 278, 267, 476, 5038, 274, 279, 267, 476, 5038, 274, 279, 267, 476, 5038, 274, 280, 267, 476, 5038, 274, 280, 267, 476, 277, 4510, 271, 267, 476, 277, 4510, 271, 267, 476, 277, 4510, 272, 267, 476, 277, 4510, 272, 267, 476, 277, 4510, 273, 267, 476, 277, 4510, 273, 267, 476, 277, 4510, 274, 267, 476, 277, 4510, 274, 267, 476, 277, 4510, 275, 267, 476, 277, 4510, 275, 267, 476, 277, 4510, 276, 267, 476, 277, 4510, 276, 267, 476, 277, 4510, 277, 267, 476, 277, 4510, 277, 267, 476, 277, 4510, 278, 267, 476, 277, 4510, 278, 267, 476, 277, 4510, 279, 267, 476, 277, 4510, 279, 267, 476, 277, 4510, 280, 267, 476, 277, 4510, 280, 267, 476, 277, 3393, 271, 267, 476, 277, 3393, 271, 267, 476, 277, 3393, 272, 267, 476, 277, 3393, 272, 267, 476, 277, 3393, 273, 267, 476, 277, 3393, 273, 267, 476, 277, 3393, 274, 267, 476, 277, 3393, 274, 267, 476, 277, 3393, 275, 267, 476, 277, 3393, 275, 267, 476, 277, 3393, 276, 267, 476, 277, 3393, 276, 267, 476, 277, 4375, 278, 267, 476, 277, 4375, 279, 267, 476, 277, 4375, 280, 267, 476, 25953, 271, 267, 476, 25953, 272, 267, 476, 25953, 273, 267, 476, 25953, 274, 267, 476, 25953, 275, 267, 476, 25953, 276, 267, 476, 25953, 277, 267, 476, 25953, 278, 267, 476, 277, 4375, 277, 267, 476, 277, 3393, 277, 267, 476, 277, 3393, 278, 267, 476, 277, 3393, 279, 267, 476, 277, 3393, 280, 267, 476, 5038, 277, 271, 267, 476, 5038, 277, 272, 267, 476, 5038, 277, 273, 267, 476, 5038, 277, 274, 267, 476, 5038, 277, 275, 267, 476, 5038, 277, 276, 267, 476, 5038, 277, 277, 267, 476, 5038, 277, 278, 267, 476, 5038, 278, 271, 267, 476, 5038, 278, 271, 267, 476, 5038, 278, 272, 267, 476, 5038, 278, 272, 267, 476, 5038, 278, 273, 267, 476, 5038, 278, 273, 267, 476, 5038, 278, 274, 267, 476, 5038, 278, 274, 267, 476, 5038, 278, 275, 267, 476, 5038, 278, 275, 267, 476, 5038, 278, 276, 267, 476, 5038, 278, 276, 267, 476, 5038, 278, 277, 267, 476, 5038, 278, 277, 267, 476, 5038, 278, 278, 267, 476, 5038, 278, 278, 267, 476, 5038, 278, 279, 267, 476, 5038, 278, 279, 267, 476, 5038, 278, 280, 267, 476, 5038, 278, 280, 267, 476, 277, 4366, 271, 267, 476, 277, 4366, 271, 267, 476, 277, 4366, 272, 267, 476, 277, 4366, 272, 267, 476, 277, 4366, 273, 267, 476, 277, 4366, 273, 267, 476, 277, 4366, 274, 267, 476, 277, 4366, 274, 267, 476, 277, 4366, 275, 267, 476, 277, 4366, 275, 267, 476, 277, 4366, 276, 267, 476, 277, 4366, 276, 267, 476, 277, 4366, 277, 267, 476, 277, 4366, 277, 267, 476, 277, 4366, 278, 267, 476, 277, 4366, 278, 267, 476, 277, 4366, 279, 267, 476, 277, 4366, 279, 267, 476, 277, 4366, 280, 267, 476, 277, 4366, 280, 267, 476, 5038, 280, 271, 267, 476, 5038, 280, 271, 267, 476, 5038, 280, 272, 267, 476, 5038, 280, 272, 267, 476, 5038, 280, 273, 267, 476, 5038, 280, 273, 267, 476, 5038, 280, 274, 267, 476, 5038, 280, 274, 267, 476, 5038, 280, 275, 267, 476, 5038, 280, 275, 267, 476, 5038, 280, 276, 267, 476, 5038, 280, 276, 267, 476, 5038, 280, 277, 267, 476, 5038, 280, 277, 267, 476, 5038, 280, 278, 267, 476, 5038, 280, 278, 267, 476, 5038, 280, 279, 267, 476, 5038, 280, 279, 267, 476, 5038, 280, 280, 267, 476, 5038, 280, 280, 267, 476, 20981, 271, 267, 476, 20981, 271, 267, 476, 20981, 272, 267, 476, 20981, 272, 267, 476, 20981, 273, 267, 476, 20981, 273, 267, 476, 20981, 274, 267, 476, 20981, 274, 267, 476, 20981, 275, 267, 476, 20981, 275, 267, 476, 20981, 276, 267, 476, 20981, 276, 267, 476, 20981, 277, 267, 476, 20981, 277, 267, 476, 20981, 278, 267, 476, 20981, 278, 267, 476, 20981, 279, 267, 476, 20981, 279, 267, 476, 20981, 280, 267, 476, 20981, 280, 267, 476, 4792, 272, 271, 267, 476, 4792, 272, 271, 267, 476, 4792, 272, 272, 267, 476, 4792, 272, 272, 267, 476, 4792, 272, 273, 267, 476, 4792, 272, 273, 267, 476, 4792, 272, 274, 267, 476, 4792, 272, 274, 267, 476, 4792, 272, 275, 267, 476, 4792, 272, 275, 267, 476, 4792, 272, 276, 267, 476, 4792, 272, 276, 267, 476, 4792, 272, 277, 267, 476, 4792, 272, 277, 267, 476, 4792, 272, 278, 267, 476, 4792, 272, 278, 267, 476, 4792, 272, 279, 267, 476, 4792, 272, 279, 267, 476, 4792, 272, 280, 267, 476, 4792, 272, 280, 267, 476, 4792, 273, 271, 267, 476, 4792, 273, 271, 267, 476, 4792, 273, 272, 267, 476, 4792, 273, 272, 267, 476, 4792, 273, 273, 267, 476, 4792, 273, 273, 267, 476, 4792, 273, 274, 267, 476, 4792, 273, 274, 267, 476, 4792, 273, 275, 267, 476, 4792, 273, 275, 267, 476, 4792, 273, 276, 267, 476, 4792, 273, 276, 267, 476, 4792, 273, 277, 267, 476, 4792, 273, 277, 267, 476, 4792, 273, 278, 267, 476, 4792, 273, 278, 267, 476, 4792, 273, 279, 267, 476, 4792, 273, 279, 267, 476, 4792, 273, 280, 267, 476, 4792, 273, 280, 267, 476, 5038, 278, 272, 267, 476, 5038, 278, 273, 267, 476, 5038, 278, 274, 267, 476, 5038, 278, 275, 267, 476, 5038, 278, 276, 267, 476, 5038, 278, 277, 267, 476, 5038, 278, 278, 267, 476, 5038, 278, 279, 267, 476, 5038, 278, 280, 267, 476, 277, 4366, 271, 267, 476, 277, 4366, 272, 267, 476, 5038, 278, 271, 267, 476, 4792, 274, 271, 267, 476, 4792, 274, 272, 267, 476, 4792, 274, 273, 267, 476, 4792, 274, 274, 267, 476, 4792, 274, 275, 267, 476, 4792, 274, 276, 267, 476, 4792, 274, 277, 267, 476, 4792, 274, 278, 267, 476, 4792, 274, 279, 267, 476, 4792, 274, 280, 267, 476, 4792, 275, 271, 267, 476, 4792, 275, 272, 267, 476, 4792, 275, 275, 267, 476, 4792, 275, 275, 267, 476, 4792, 275, 276, 267, 476, 4792, 275, 276, 267, 476, 4792, 275, 277, 267, 476, 4792, 275, 277, 267, 476, 4792, 275, 278, 267, 476, 4792, 275, 278, 267, 476, 4792, 275, 279, 267, 476, 4792, 275, 279, 267, 476, 4792, 275, 280, 267, 476, 4792, 275, 280, 267, 476, 277, 4649, 271, 267, 476, 277, 4649, 271, 267, 476, 277, 4649, 272, 267, 476, 277, 4649, 272, 267, 476, 277, 4649, 273, 267, 476, 277, 4649, 273, 267, 476, 277, 4649, 274, 267, 476, 277, 4649, 274, 267, 476, 277, 4649, 275, 267, 476, 277, 4649, 275, 267, 476, 277, 4649, 276, 267, 476, 277, 4649, 276, 267, 476, 277, 4649, 277, 267, 476, 277, 4649, 277, 267, 476, 277, 4649, 278, 267, 476, 277, 4649, 278, 267, 476, 277, 4649, 279, 267, 476, 277, 4649, 279, 267, 476, 277, 4649, 280, 267, 476, 277, 4649, 280, 267, 476, 4792, 277, 271, 267, 476, 4792, 277, 271, 267, 476, 4792, 277, 272, 267, 476, 4792, 277, 272, 267, 476, 4792, 277, 273, 267, 476, 4792, 277, 273, 267, 476, 4792, 277, 274, 267, 476, 4792, 277, 274, 267, 476, 4792, 277, 275, 267, 476, 4792, 277, 275, 267, 476, 4792, 277, 276, 267, 476, 4792, 277, 276, 267, 476, 4792, 277, 277, 267, 476, 4792, 277, 277, 267, 476, 4792, 277, 278, 267, 476, 4792, 277, 278, 267, 476, 4792, 277, 279, 267, 476, 4792, 277, 279, 267, 476, 4792, 277, 280, 267, 476, 4792, 277, 280, 267, 476, 4792, 278, 271, 267, 476, 4792, 278, 271, 267, 476, 4792, 278, 272, 267, 476, 4792, 278, 272, 267, 476, 4792, 278, 273, 267, 476, 4792, 278, 273, 267, 476, 4792, 278, 274, 267, 476, 4792, 278, 274, 267, 476, 4792, 278, 275, 267, 476, 4792, 278, 275, 267, 476, 4792, 278, 276, 267, 476, 4792, 278, 276, 267, 476, 4792, 278, 277, 267, 476, 4792, 278, 277, 267, 476, 4792, 278, 278, 267, 476, 4792, 278, 278, 267, 476, 4792, 278, 279, 267, 476, 4792, 278, 279, 267, 476, 4792, 278, 280, 267, 476, 4792, 278, 280, 267, 476, 4792, 279, 271, 267, 476, 4792, 279, 271, 267, 476, 4792, 279, 272, 267, 476, 4792, 279, 272, 267, 476, 4792, 279, 273, 267, 476, 4792, 279, 273, 267, 476, 4792, 279, 274, 267, 476, 4792, 279, 274, 267, 476, 4792, 279, 275, 267, 476, 4792, 279, 275, 267, 476, 4792, 279, 276, 267, 476, 4792, 279, 276, 267, 476, 4792, 279, 277, 267, 476, 4792, 279, 277, 267, 476, 4792, 279, 278, 267, 476, 4792, 279, 278, 267, 476, 4792, 279, 279, 267, 476, 4792, 279, 279, 267, 476, 4792, 279, 280, 267, 476, 4792, 279, 280, 267, 476, 4792, 280, 271, 267, 476, 4792, 280, 271, 267, 476, 4792, 280, 272, 267, 476, 4792, 280, 272, 267, 476, 4792, 280, 273, 267, 476, 4792, 280, 273, 267, 476, 4792, 280, 274, 267, 476, 4792, 280, 274, 267, 476, 4792, 280, 275, 267, 476, 4792, 280, 275, 267, 476, 4792, 280, 276, 267, 476, 4792, 280, 276, 267, 476, 4792, 280, 277, 267, 476, 4792, 280, 277, 267, 476, 4792, 280, 278, 267, 476, 4792, 280, 278, 267, 476, 4792, 280, 279, 267, 476, 4792, 280, 279, 267, 476, 4792, 280, 280, 267, 476, 4792, 280, 280, 267, 476, 32133, 271, 267, 476, 32133, 271, 267, 476, 32133, 272, 267, 476, 32133, 272, 267, 476, 32133, 273, 267, 476, 32133, 273, 267, 476, 32133, 274, 267, 476, 32133, 274, 267, 476, 4792, 275, 276, 267, 476, 4792, 275, 277, 267, 476, 4792, 275, 278, 267, 476, 4792, 275, 279, 267, 476, 4792, 275, 280, 267, 476, 277, 4649, 271, 267, 476, 277, 4649, 272, 267, 476, 277, 4649, 273, 267, 476, 277, 4649, 274, 267, 476, 277, 4649, 275, 267, 476, 277, 4649, 276, 267, 476, 4792, 275, 275, 267, 476, 32133, 275, 267, 476, 32133, 276, 267, 476, 32133, 277, 267, 476, 32133, 278, 267, 476, 32133, 279, 267, 476, 32133, 280, 267, 476, 5780, 272, 271, 267, 476, 5780, 272, 272, 267, 476, 5780, 272, 273, 267, 476, 5780, 272, 274, 267, 476, 5780, 272, 275, 267, 476, 5780, 272, 276, 267, 476, 5780, 272, 279, 267, 476, 5780, 272, 279, 267, 476, 5780, 272, 280, 267, 476, 5780, 272, 280, 267, 476, 5780, 273, 271, 267, 476, 5780, 273, 271, 267, 476, 5780, 273, 272, 267, 476, 5780, 273, 272, 267, 476, 5780, 273, 273, 267, 476, 5780, 273, 273, 267, 476, 5780, 273, 274, 267, 476, 5780, 273, 274, 267, 476, 5780, 273, 275, 267, 476, 5780, 273, 275, 267, 476, 5780, 273, 276, 267, 476, 5780, 273, 276, 267, 476, 5780, 273, 277, 267, 476, 5780, 273, 277, 267, 476, 5780, 273, 278, 267, 476, 5780, 273, 278, 267, 476, 5780, 273, 279, 267, 476, 5780, 273, 279, 267, 476, 5780, 273, 280, 267, 476, 5780, 273, 280, 267, 476, 5780, 274, 271, 267, 476, 5780, 274, 271, 267, 476, 5780, 274, 272, 267, 476, 5780, 274, 272, 267, 476, 5780, 274, 273, 267, 476, 5780, 274, 273, 267, 476, 5780, 274, 274, 267, 476, 5780, 274, 274, 267, 476, 5780, 274, 275, 267, 476, 5780, 274, 275, 267, 476, 5780, 274, 276, 267, 476, 5780, 274, 276, 267, 476, 5780, 274, 277, 267, 476, 5780, 274, 277, 267, 476, 5780, 274, 278, 267, 476, 5780, 274, 278, 267, 476, 5780, 274, 279, 267, 476, 5780, 274, 279, 267, 476, 5780, 274, 280, 267, 476, 5780, 274, 280, 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 ]
[ 267, 519, 1826, 540, 1085, 10008, 2670, 267, 543, 538, 6690, 267, 2436, 519, 3461, 814, 3323, 547, 14108, 622, 269, 1403, 4376, 4422, 4636, 607, 649, 1332, 1141, 519, 11983, 10260, 543, 13285, 666, 1406, 1332, 607, 3728, 630, 553, 2106, 28942, 5778, 268, 657, 572, 748, 1646, 264, 649, 666, 7237, 713, 8229, 8082, 1966, 269, 476, 278, 267, 279, 267, 1452, 22775, 885, 607, 1134, 607, 519, 12636, 3395, 5488, 982, 519, 11983, 10260, 14672, 12883, 723, 2965, 1044, 4080, 538, 3621, 543, 2564, 2090, 269, 901, 18761, 27492, 2990, 2636, 519, 981, 10719, 547, 2638, 585, 22441, 538, 519, 12636, 267, 585, 606, 9402, 1560, 28550, 547, 519, 2451, 610, 1318, 267, 610, 585, 835, 13105, 16405, 602, 568, 6659, 2362, 982, 519, 824, 269, 1284, 1265, 1256, 811, 2963, 5885, 713, 2856, 607, 519, 7887, 22775, 885, 2049, 2673, 547, 519, 30085, 540, 519, 1085, 10008, 2670, 7455, 267, 1247, 513, 512, 832, 542, 630, 320, 24364, 3196, 264, 729, 4767, 799, 568, 2693, 519, 2110, 14121, 697, 11983, 10260, 476, 1626, 269, 1717, 267, 23648, 1974, 14754, 519, 5207, 2208, 2557, 540, 519, 2560, 1452, 2067, 14258, 2990, 519, 2212, 936, 519, 10652, 6665, 543, 960, 607, 8710, 4726, 1499, 547, 15814, 7344, 2566, 1282, 3350, 269, 589, 2013, 1867, 267, 18897, 25714, 1085, 10008, 2670, 543, 11658, 8405, 5163, 269, 8564, 835, 610, 811, 3377, 24393, 547, 3136, 269, 1306, 1082, 2021, 786, 2995, 596, 267, 713, 3942, 540, 707, 1272, 666, 1118, 596, 1745, 538, 31261, 543, 11821, 1256, 1510, 519, 3773, 28658, 540, 513, 17208, 12636, 269, 1261, 4767, 602, 519, 11983, 12324, 729, 593, 3328, 476, 1691, 260, 10156, 982, 621, 1058, 723, 1044, 267, 855, 9338, 12569, 8068, 602, 875, 2110, 621, 729, 568, 1644, 547, 519, 2450, 540, 519, 1085, 10008, 2670, 7455, 267, 855, 1256, 811, 865, 729, 1644, 547, 875, 1454, 10047, 1185, 7018, 476, 278, 269, 13555, 707, 1126, 781, 4387, 585, 513, 9488, 981, 952, 596, 5469, 602, 707, 1126, 814, 1022, 4191, 540, 1085, 10008, 2670, 610, 952, 606, 9402, 7455, 538, 519, 12636, 729, 9571, 1282, 513, 1153, 9584, 1982, 269, 5291, 2517, 4178, 31892, 10008, 2670, 3820, 28918, 2755, 1085, 10008, 2670, 666, 581, 3361, 676, 2175, 971, 607, 19548, 25097, 344, 543, 16757, 30484, 15577, 267, 519, 2014, 540, 1034, 1085, 10008, 2670, 568, 7164, 269, 2480, 10008, 2670, 568, 513, 15400, 2783, 602, 2356, 5956, 538, 6689, 610, 18273, 269, 1656, 1247, 596, 1522, 1589, 267, 968, 15124, 267, 3214, 786, 2253, 1319, 1005, 31218, 769, 3665, 2665, 602, 2154, 6391, 267, 519, 3461, 2356, 973, 13569, 3533, 269, 634, 2856, 602, 513, 9395, 610, 2110, 11983, 10260, 543, 8229, 8082, 1223, 581, 519, 6117, 3196, 610, 3597, 2014, 3297, 7329, 11340, 987, 545, 1085, 10008, 2670, 568, 4986, 1007, 269, 21474, 547, 2333, 5642, 2527, 543, 7794, 7633, 267, 1519, 3478, 2614, 7513, 543, 6171, 667, 267, 3257, 2834, 2597, 24481, 3635, 267, 543, 267, 2921, 5642, 20671, 6527, 949, 948, 547, 2061, 2665, 3361, 676, 11983, 18655, 269, 15380, 267, 2550, 3247, 9849, 25329, 950, 741, 7633, 3247, 3395, 1310, 23648, 269, 10251, 267, 713, 568, 849, 950, 1034, 1762, 6690, 1376, 14108, 908, 269, 2353, 540, 713, 1382, 5916, 2488, 513, 2603, 540, 2963, 602, 938, 7296, 7784, 3297, 7329, 11340, 987, 545, 1085, 10008, 2670, 568, 8229, 8082, 602, 2164, 689, 19514, 2208, 540, 519, 11983, 10260, 3448, 547, 519, 12636, 281, 607, 2106, 28942, 5778, 268, 657, 572, 748, 1646, 269, 1452, 7422, 2899, 1586, 6474, 909, 609, 519, 2856, 602, 513, 9395, 11983, 10260, 568, 519, 3597, 2014, 3297, 7329, 11340, 987, 545, 1085, 10008, 2670, 607, 649, 1294, 513, 1614, 1900, 1184, 8345, 607, 519, 1560, 13290, 547, 14867, 519, 8229, 8082, 602, 2164, 689, 513, 9395, 11983, 10260, 476, 278, 269, 769, 519, 10782, 2665, 267, 1085, 10008, 2670, 666, 2014, 2242, 538, 707, 9221, 543, 9641, 267, 543, 2663, 267, 7411, 7244, 269, 901, 2376, 786, 2911, 827, 1946, 513, 1085, 10008, 2670, 4991, 8338, 609, 2208, 543, 1018, 666, 581, 2944, 547, 2061, 713, 689, 8345, 269, 901, 1106, 540, 968, 611, 738, 892, 1085, 10008, 2670, 666, 2965, 2049, 693, 1022, 2085, 269, 31453, 585, 21404, 5829, 1085, 10008, 2670, 267, 1034, 2665, 540, 1085, 10008, 2670, 3112, 581, 15286, 269, 1879, 1085, 10008, 2670, 568, 9571, 2038, 267, 2126, 2356, 666, 2061, 519, 1966, 689, 3478, 8338, 269, 2480, 10008, 2670, 568, 811, 2693, 547, 1205, 8338, 1247, 707, 7633, 616, 1869, 3395, 269, 5463, 2888, 666, 2550, 543, 950, 1281, 7329, 11340, 987, 545, 1085, 10008, 2670, 1831, 18476, 1282, 23648, 267, 799, 3800, 543, 666, 2333, 538, 5026, 982, 519, 14258, 269, 898, 568, 811, 2693, 602, 596, 1185, 513, 7646, 1085, 10008, 2670, 602, 814, 1631, 1831, 811, 6654, 269, 4578, 2959, 1331, 22126, 23846, 12130, 668, 539, 1410, 630, 1575, 13768, 476, 277, 3967, 476, 1708, 272, 1070, 31762, 1676, 5564, 636, 12814, 630, 1575, 13768, 476, 275, 3967, 476, 1708, 272, 1070, 6789, 27426, 630, 1575, 13768, 476, 277, 3967, 476, 1708, 272, 264, 543, 1866, 269, 2991, 513, 1032, 610, 865, 540, 23648, 4358, 267, 543, 585, 519, 1985, 7008, 540, 1296, 281, 634, 2949, 1871, 540, 6296, 9584, 568, 711, 2312, 269, 1306, 519, 11983, 10260, 568, 2451, 538, 519, 7452, 3297, 519, 6385, 3395, 31175, 543, 11983, 6241, 267, 519, 10260, 568, 15504, 9395, 543, 607, 513, 1267, 519, 1560, 13290, 547, 1265, 513, 1259, 547, 5305, 713, 8082, 269, 634, 4050, 529, 13515, 3395, 693, 519, 1439, 540, 23648, 267, 799, 9775, 689, 18560, 547, 18560, 269, 634, 2427, 1811, 22441, 602, 596, 7747, 693, 519, 1394, 538, 1453, 568, 1572, 2480, 10008, 2670, 269, 12465, 2126, 3681, 4125, 17626, 16213, 610, 6391, 269, 6496, 1085, 10008, 2670, 2014, 1394, 1928, 286, 898, 666, 948, 2087, 4887, 4222, 543, 949, 948, 2569, 1022, 1394, 1928, 269, 634, 4387, 786, 7620, 1491, 513, 2143, 2564, 1686, 543, 949, 2307, 2055, 827, 2487, 2208, 269, 898, 779, 2523, 1271, 547, 581, 13761, 5781, 952, 596, 723, 513, 2385, 267, 11078, 267, 610, 7015, 609, 1085, 10008, 2670, 269, 1879, 786, 519, 7455, 3247, 3395, 286, 1703, 568, 1100, 2963, 547, 2303, 602, 5355, 14302, 610, 3257, 5751, 666, 2061, 621, 269, 2659, 1126, 949, 991, 6391, 950, 519, 7455, 3800, 476, 3393, 5232, 610, 811, 593, 606, 2473, 11920, 543, 2909, 1424, 814, 711, 30281, 1524, 519, 11144, 540, 519, 7455, 269, 589, 12636, 3395, 5488, 982, 519, 11983, 10260, 666, 1832, 909, 609, 568, 5219, 547, 676, 3744, 607, 4608, 537, 9482, 610, 607, 2106, 28942, 5778, 268, 657, 572, 748, 2208, 281, 4608, 537, 9482, 270, 553, 2106, 28942, 2495, 789, 1810, 1406, 1332, 693, 519, 1482, 10605, 282, 5778, 2495, 13285, 543, 519, 8401, 1062, 543, 11983, 10260, 282, 543, 15259, 572, 748, 13288, 547, 7633, 540, 519, 12636, 269, 2991, 1164, 1153, 267, 26795, 15391, 23384, 6391, 547, 1521, 1200, 1085, 10008, 2670, 269, 26440, 17654, 1085, 10008, 2670, 568, 1419, 1644, 547, 21404, 267, 2523, 538, 2021, 267, 607, 519, 2242, 9192, 543, 519, 12636, 7444, 521, 4711, 883, 513, 7455, 269, 594, 723, 513, 3659, 945, 568, 476, 1691, 1296, 2025, 543, 646, 814, 7646, 1085, 10008, 2670, 269, 4438, 713, 942, 267, 649, 1332, 5488, 982, 1022, 824, 942, 538, 938, 1272, 824, 982, 2038, 6689, 282, 1776, 1259, 540, 6031, 713, 568, 602, 938, 2557, 540, 2208, 568, 5207, 1282, 519, 15730, 2208, 838, 4669, 630, 553, 728, 689, 2038, 6689, 1040, 898, 729, 835, 540, 519, 1193, 836, 652, 4606, 594, 723, 2479, 4810, 7868, 1985, 1554, 267, 594, 5433, 899, 645, 3711, 328, 593, 4672, 269, 594, 10972, 24403, 1085, 10008, 2670, 14258, 4268, 538, 2450, 267, 543, 7646, 14258, 616, 811, 1455, 982, 3677, 14258, 269, 901, 568, 1317, 513, 1126, 610, 7141, 779, 5642, 2085, 9356, 875, 1454, 2208, 789, 723, 2451, 282, 875, 1454, 811, 789, 786, 1332, 1354, 789, 3914, 20258, 15657, 269, 9745, 2480, 10008, 2670, 3733, 2657, 9745, 772, 22744, 539, 1635, 5261, 9956, 267, 1085, 10008, 2670, 568, 513, 15400, 2783, 602, 2356, 5956, 538, 6689, 610, 18273, 2899, 4028, 5642, 2208, 7475, 1310, 23648, 1085, 10008, 2670, 2356, 1281, 711, 22009, 607, 519, 12636, 25457, 3339, 4617, 2287, 538, 15296, 20078, 2137, 543, 2589, 666, 22009, 7930, 1085, 10008, 2670, 568, 513, 12636, 901, 2208, 838, 4669, 602, 4523, 547, 782, 540, 721, 607, 649, 979, 998, 23648, 568, 1634, 607, 519, 15730, 2208, 838, 4669, 543, 568, 2047, 1644, 547, 1085, 10008, 2670, 543, 950, 621, 3587, 513, 1966, 607, 519, 7455, 6385, 9428, 538, 2450, 269, 898, 1034, 1419, 10953, 1282, 519, 2208, 838, 4669, 1175, 1354, 23648, 269, 1548, 616, 519, 2010, 540, 2480, 10008, 2670, 286, 1809, 267, 9793, 547, 4049, 1085, 10008, 2670, 602, 568, 2451, 15860, 666, 1291, 547, 1928, 543, 2810, 22775, 640, 267, 607, 1134, 607, 1761, 2295, 543, 5761, 3441, 269, 1879, 649, 13209, 606, 15730, 609, 1085, 10008, 2670, 267, 3267, 2991, 7680, 1272, 4657, 2164, 267, 646, 1305, 1010, 24738, 593, 4543, 1866, 945, 3068, 27676, 4576, 998, 3246, 811, 2067, 4485, 269, 4495, 519, 4819, 13515, 3395, 267, 519, 1085, 10008, 2670, 2356, 13515, 1932, 269, 8617, 3635, 568, 1271, 585, 1453, 609, 1085, 10008, 2670, 269, 898, 2982, 909, 1354, 23648, 543, 814, 519, 5207, 4960, 540, 3356, 532, 519, 1296, 540, 2208, 1318, 1310, 23648, 282, 1403, 519, 7455, 568, 4049, 267, 621, 666, 1291, 547, 2295, 543, 5761, 2042, 952, 621, 779, 711, 9575, 2038, 282, 1879, 9575, 2038, 2614, 267, 2909, 1424, 666, 3247, 519, 7455, 689, 3478, 10782, 538, 476, 2004, 260, 540, 1453, 282, 589, 1126, 786, 991, 6391, 952, 519, 7455, 3884, 1406, 6417, 594, 723, 547, 5957, 513, 25231, 269, 715, 3518, 1145, 476, 274, 269, 901, 6521, 538, 2990, 3123, 519, 12636, 547, 18846, 547, 835, 2427, 281, 519, 10689, 5658, 1085, 10008, 2670, 7455, 269, 1703, 616, 2185, 3119, 7399, 585, 519, 30134, 618, 540, 1085, 10008, 2670, 1310, 5945, 281, 12465, 2937, 2919, 1085, 10008, 2670, 568, 513, 1267, 540, 28115, 894, 2242, 538, 519, 9451, 13887, 6241, 269, 25289, 568, 606, 1271, 7777, 602, 20674, 1628, 5642, 2527, 269, 1452, 2164, 941, 9738, 1310, 1739, 909, 609, 891, 2550, 1079, 1296, 2663, 269, 12246, 1061, 1043, 607, 713, 6391, 950, 7329, 11340, 987, 545, 1831, 18476, 2589, 269, 1403, 519, 1394, 1928, 568, 4049, 610, 568, 2404, 609, 8467, 540, 519, 17873, 610, 31018, 267, 1289, 707, 4387, 269, 5463, 3547, 3735, 3220, 269, 623, 7163, 2699, 4593, 2642, 3220, 269, 681, 1054, 779, 1382, 476, 1691, 543, 4682, 593, 547, 2899, 1586, 7747, 602, 519, 11983, 10260, 7012, 1406, 5329, 909, 609, 875, 3728, 519, 12636, 729, 3395, 269, 4858, 1424, 269, 1306, 596, 1131, 4952, 267, 713, 5673, 593, 875, 2484, 2059, 998, 23648, 789, 616, 543, 2436, 789, 723, 5734, 741, 2208, 838, 4669, 1282, 23648, 269, 2290, 540, 519, 1034, 9053, 11983, 15494, 6391, 585, 2480, 10008, 2670, 568, 5403, 7845, 1975, 1400, 674, 4288, 269, 8866, 1510, 1085, 10008, 2670, 723, 513, 11983, 10260, 602, 568, 711, 3648, 10156, 982, 741, 12636, 630, 591, 974, 13887, 6241, 264, 1247, 3214, 609, 15730, 7329, 11340, 987, 545, 1085, 10008, 2670, 666, 723, 3648, 10156, 11983, 27871, 3448, 547, 741, 12636, 269, 3509, 2829, 2154, 1857, 3506, 547, 5496, 1053, 585, 1085, 10008, 2670, 267, 2356, 538, 519, 11359, 610, 15795, 3446, 269, 589, 269, 715, 1170, 514, 523, 267, 631, 1421, 4477, 328, 13960, 4673, 267, 631, 1421, 1530, 1080, 30790, 267, 808, 269, 3958, 267, 6690, 609, 1085, 10008, 2670, 723, 606, 25983, 958, 5488, 681, 12442, 5508, 717, 4629, 310, 8025, 3379, 547, 1346, 945, 1810, 1406, 476, 2420, 269, 1689, 538, 3337, 543, 4087, 543, 18909, 9196, 264, 1247, 519, 12636, 543, 922, 9451, 13887, 4703, 3136, 547, 1332, 693, 513, 3728, 10605, 267, 621, 568, 2693, 602, 891, 1079, 1919, 616, 1644, 476, 280, 269, 1284, 849, 14437, 827, 875, 519, 1560, 13290, 547, 3082, 547, 713, 2799, 8082, 676, 4929, 519, 12636, 547, 7455, 547, 835, 2427, 1247, 849, 15914, 538, 1931, 547, 2285, 519, 11983, 10260, 519, 20125, 2619, 2009, 538, 606, 3801, 547, 14867, 930 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 513, 11281, 264, 2066, 543, 1590, 581, 3172, 1881, 9937, 540, 5215, 540, 2053, 547, 581, 7298, 563, 14881, 4076, 1044, 2324, 538, 15591, 585, 476, 2004, 1296, 2223, 1767, 10753, 778, 267, 968, 663, 594, 666, 1406, 1589, 540, 1082, 824, 2053, 950, 972, 941, 865, 1082, 1434, 1004, 609, 865, 1082, 1114, 15421, 4947, 1927, 547, 2119, 547, 4194, 2042, 269, 898, 779, 1187, 547, 581, 851, 540, 621, 543, 547, 1294, 1018, 2501, 856, 540, 519, 5698, 3034, 291, 10005, 700, 583, 345, 1923, 31823, 2336, 23044, 540, 6147, 321, 4592, 335, 1400, 5714, 21560, 8849, 6565, 1591, 6498, 454, 2420, 269, 4962, 269, 1001, 279, 1923, 29581, 3128, 16379, 2098, 550, 5300, 28228, 333, 7770, 910, 1546, 7491, 2583, 674, 832, 577, 31258, 345, 550, 5300, 24166, 717, 525, 1495, 15241, 3768, 772, 332, 342, 3881, 454, 290, 1335, 1235, 693, 14174, 308, 6707, 6542, 708, 710, 7250, 566, 609, 20522, 1292, 1895, 4496, 454, 2420, 269, 4962, 269, 1001, 279, 1923, 26179, 5025, 2716, 6387, 268, 26536, 28059, 8210, 331, 836, 523, 9539, 14660, 333, 6199, 454, 3383, 10777, 7061, 1082, 23073, 26711, 1450, 7061, 1949, 547, 3251, 856, 540, 11466, 1454, 3476, 267, 7713, 4603, 1923, 5530, 3370, 538, 7186, 8212, 454, 25748, 267, 3173, 689, 12370, 543, 20037, 16309, 538, 29212, 513, 2594, 476, 7871, 8444, 543, 14350, 9013, 741, 7061, 1533, 267, 16734, 1018, 568, 1572, 513, 2483, 763, 8978, 1101, 7020, 540, 14965, 6329, 689, 2458, 4575, 3109, 9475, 2484, 3544, 938, 14925, 8118, 513, 1007, 6885, 547, 1620, 519, 7122, 269, 589, 2483, 288, 2319, 3366, 676, 22341, 8097, 21997, 14175, 518, 2349, 3430, 814, 16309, 538, 1915, 1944, 519, 7061, 1303, 836, 2211, 540, 1079, 22883, 6053, 9674, 8444, 676, 11287, 741, 1769, 12998, 269, 901, 4909, 17431, 1223, 1291, 547, 519, 1646, 540, 3810, 6213, 9804, 5552, 328, 18852, 585, 519, 5730, 6482, 540, 519, 14965, 2361, 610, 519, 3618, 781, 6419, 2361, 563, 763, 2085, 540, 7061, 2029, 814, 1279, 1044, 1200, 531, 4765, 269, 5463, 3547, 540, 1382, 883, 519, 7061, 1158, 723, 3366, 547, 519, 1646, 540, 2409, 602, 1118, 621, 2009, 2483, 25205, 26210, 5160, 4702, 6663, 547, 1521, 2295, 2068, 609, 14382, 12330, 602, 1332, 543, 16956, 4733, 269, 3767, 267, 3173, 689, 519, 2160, 540, 2098, 584, 747, 267, 519, 14502, 2160, 661, 785, 327, 8576, 543, 519, 4077, 527, 2946, 12670, 723, 6707, 5579, 5896, 27532, 2295, 17901, 267, 2966, 609, 519, 5351, 540, 2780, 13502, 267, 883, 13265, 585, 519, 1101, 942, 563, 303, 18166, 2713, 5160, 610, 8219, 1759, 593, 1480, 2281, 568, 835, 540, 519, 1292, 1382, 4610, 538, 27532, 4915, 269, 570, 22568, 4702, 267, 799, 3322, 3395, 2483, 288, 2319, 540, 3744, 540, 519, 7665, 23851, 4659, 585, 519, 12856, 543, 18868, 540, 17460, 630, 300, 4916, 291, 264, 693, 519, 4741, 585, 5131, 7232, 937, 1258, 21558, 3163, 538, 31297, 11567, 1904, 1227, 14001, 21367, 2032, 538, 519, 12659, 8932, 1673, 25660, 2407, 518, 728, 918, 274, 290, 2568, 8974, 1164, 5007, 12503, 269, 901, 1353, 4847, 267, 593, 835, 1688, 267, 547, 19918, 2708, 519, 2470, 540, 519, 23644, 1533, 607, 513, 21367, 532, 5123, 269, 769, 1840, 267, 621, 30792, 519, 7872, 547, 16578, 21367, 2032, 538, 918, 274, 290, 2568, 693, 5210, 2484, 1657, 519, 910, 10204, 5232, 17622, 32424, 5892, 267, 543, 2864, 782, 519, 1259, 547, 4055, 2837, 269, 634, 1957, 676, 22616, 2728, 653, 328, 1696, 620, 814, 1044, 3370, 538, 7186, 8212, 563, 19284, 8723, 8407, 267, 21367, 832, 723, 519, 2189, 12588, 540, 24317, 5122, 14768, 1510, 1022, 2530, 269, 27009, 267, 741, 6639, 2483, 6349, 269, 4962, 269, 1001, 279, 1923, 7926, 5240, 454, 1724, 269, 6860, 269, 1001, 279, 1923, 7926, 5240, 454, 1321, 269, 6860, 269, 1001, 279, 1923, 7926, 5240, 454, 1240, 269, 4962, 269, 1001, 279, 1923, 5295, 543, 15379, 7177, 454, 1240, 269, 4962, 269, 1001, 279, 1923, 6176, 5303, 454, 1240, 269, 4962, 269, 1001, 279, 1923, 6176, 5303 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 258, 16390, 585, 1747, 540, 3028, 23228, 720, 815, 703, 9272, 2891, 8923, 4283, 707, 2085, 281, 476, 834, 17903, 16303, 815, 3403, 2891, 8923, 4283, 707, 3023, 630, 300, 610, 674, 2567, 476, 834, 3418, 604, 3023, 2652, 1412, 293, 262, 6769, 825, 1820, 2891, 763, 9441, 786, 960, 538, 4683, 2127, 1152, 1701, 3418, 19197, 3023, 2652, 1412, 300, 262, 543, 476, 736, 27045, 720, 27045, 2412, 6769, 825, 1820, 2891, 763, 9441, 949, 960, 9170, 1701, 3418, 19197, 3023, 2652, 1412, 300, 262, 543, 476, 2412, 27045, 720, 27045, 2568, 6769, 825, 1820, 2891, 763, 9441, 786, 960, 538, 4683, 2127, 1152, 1701, 3418, 12828, 6769, 825, 1820, 2891, 2207, 305, 3036, 10590, 3418, 0, 258, 5124, 1599, 602, 6460, 3952, 883, 6279, 23228, 3698, 10264, 15461, 18425, 577, 263, 1111, 8029, 825, 6279, 815, 18011, 346, 15545, 273, 325, 348, 8339, 8971, 263, 1111, 265, 1321, 17903, 825, 1820, 6600, 262, 346, 1111, 348, 3952, 815, 2715, 514, 2583, 348, 6279, 20298, 1111, 815, 10581, 9272, 2891, 8722, 564, 281, 476, 834, 17903, 1111, 15461, 18425, 577, 263, 1111, 10142, 258, 5124, 1599, 547, 6460, 5195, 547, 4893, 9014, 23228, 3698, 5195, 15461, 318, 14790, 9852, 3796, 8029, 825, 5998, 815, 18011, 346, 15545, 273, 325, 348, 8339, 8971, 9852, 3796, 270, 271, 269, 277, 2641, 275, 17903, 825, 1820, 6600, 262, 346, 332, 3796, 348, 5195, 815, 2715, 14790, 348, 12919, 20298, 332, 3796, 815, 10581, 9272, 2891, 300, 3796, 281, 476, 834, 17903, 332, 3796, 15461, 318, 14790, 9852, 3796, 10142, 258, 5124, 1599, 547, 6460, 23505, 547, 4009, 18126, 1477, 3698, 23505, 15461, 5334, 336, 29288, 263, 659, 637, 8029, 825, 13483, 14729, 1841, 815, 18011, 346, 15545, 273, 325, 348, 8339, 8971, 263, 659, 637, 265, 4366, 275, 271, 17903, 825, 1820, 6600, 262, 346, 659, 637, 348, 14143, 815, 2715, 338, 336, 14729, 1841, 348, 4009, 18126, 20298, 659, 637, 815, 10581, 9272, 2891, 10907, 637, 281, 476, 834, 17903, 21492, 15461, 5334, 336, 29288, 263, 659, 637, 3418, 0, 258, 1554, 476, 276, 1477, 258, 476, 275, 269, 476, 3503, 513, 5124, 1599, 547, 2638, 2436, 513, 1297, 568, 3501, 610, 711, 23228, 258, 630, 1348, 519, 1523, 540, 3501, 1297, 10142, 258, 589, 3501, 1297, 568, 513, 1297, 799, 568, 3160, 547, 519, 2040, 540, 922, 1697, 2318, 16975, 23228, 3698, 3501, 20311, 16325, 8029, 825, 1039, 815, 476, 271, 1477, 825, 585, 1775, 538, 2039, 263, 272, 267, 1003, 8029, 1038, 952, 1003, 4939, 1775, 2652, 476, 271, 6769, 2018, 1039, 6834, 1775, 1477, 825, 952, 1039, 2652, 1003, 6769, 1038, 1820, 6600, 10454, 2715, 11133, 348, 568, 513, 3501, 1297, 1701, 3418, 825, 3116, 6769, 1038, 1820, 6600, 10454, 2715, 11133, 348, 568, 711, 513, 3501, 1297, 1701, 3418, 5897, 15893, 815, 703, 9272, 2891, 11767, 513, 1297, 547, 2638, 281, 834, 17903, 704, 2739, 20311, 28840, 3418, 0, 258, 1554, 476, 277, 1477, 258, 476, 273, 269, 3503, 513, 1599, 3957, 968, 10946, 3065, 892, 663, 834, 2381, 3065, 257, 602, 24693, 1079, 8870, 2418, 1477, 258, 543, 7024, 519, 835, 602, 519, 3152, 610, 4130, 540, 519, 1079, 547, 519, 10912, 1982, 269, 5897, 3698, 1295, 26174, 16325, 272, 267, 1003, 273, 8029, 825, 952, 1003, 272, 3436, 1003, 273, 6769, 1038, 1820, 2891, 16655, 3065, 281, 14307, 1003, 272, 3418, 1038, 1820, 2891, 14737, 3065, 281, 14307, 1003, 273, 3418, 825, 8640, 1003, 272, 2999, 1003, 273, 6769, 1038, 1820, 2891, 16655, 3065, 281, 14307, 1003, 273, 3418, 1038, 1820, 2891, 14737, 3065, 281, 14307, 1003, 272, 3418, 825, 3116, 6769, 1038, 1820, 6600, 257, 346, 11133, 272, 348, 2652, 2715, 11133, 273, 348, 14744, 5897, 333, 272, 815, 10581, 9272, 2891, 11767, 1003, 272, 281, 834, 17903, 333, 273, 815, 10581, 9272, 2891, 11767, 1003, 273, 281, 834, 17903, 2381, 26174, 3799, 272, 267, 562, 273, 10142, 0, 258, 476, 273, 264, 589, 2754, 4956, 547, 2285, 22429, 540, 476, 276, 260, 547, 9441, 952, 1010, 17017, 1032, 540, 3028, 568, 811, 982, 476, 276, 1296, 23228, 258, 825, 9105, 3593, 585, 741, 14057, 543, 1032, 540, 3028, 543, 1820, 519, 2121, 22429, 2179, 269, 5897, 2745, 2891, 2171, 786, 581, 12719, 519, 2121, 22429, 596, 786, 581, 3478, 256, 1924, 5225, 29177, 8587, 834, 4283, 519, 2953, 3877, 1701, 3418, 2745, 14052, 258, 1306, 6362, 585, 3403, 1477, 15680, 776, 815, 703, 9272, 2891, 11767, 707, 14057, 281, 834, 17903, 20204, 815, 703, 9272, 2891, 11767, 5729, 540, 6796, 281, 834, 17903, 2548, 639, 815, 630, 15680, 776, 2608, 476, 271, 269, 4962, 10142, 258, 5675, 2175, 1477, 604, 1032, 13843, 476, 276, 6769, 825, 2121, 318, 2548, 639, 815, 14057, 1341, 22429, 1477, 825, 1820, 2891, 23558, 256, 1411, 616, 14718, 585, 22429, 543, 596, 3893, 29177, 16875, 834, 513, 22429, 540, 12652, 1701, 267, 22429, 3418, 825, 1820, 2891, 7312, 6428, 776, 281, 14307, 2121, 318, 2548, 639, 3418, 12828, 6769, 825, 1820, 2891, 28989, 256, 1411, 616, 711, 14718, 585, 22429, 10590, 3418, 825, 1820, 2891, 7312, 6428, 776, 281, 14307, 14057, 3418, 0, 258, 567, 1554, 476, 279, 1477, 258, 476, 275, 269, 8073, 513, 18323, 1362, 269, 5269, 1079, 2409, 2433, 1477, 258, 672, 1775, 269, 6460, 293, 16366, 910, 898, 786, 1491, 524, 16364, 543, 786, 1820, 621, 883, 18278, 23228, 258, 672, 13797, 269, 6460, 290, 16364, 910, 898, 786, 1491, 18278, 543, 786, 6460, 621, 883, 17622, 269, 24653, 5035, 18323, 6769, 825, 1219, 6449, 8181, 9191, 1345, 267, 524, 267, 535, 8029, 1038, 1582, 6983, 815, 524, 1477, 1038, 1582, 8807, 815, 535, 5897, 825, 1219, 6460, 6958, 16366, 4311, 8029, 1038, 513, 815, 630, 1345, 6983, 2608, 630, 280, 1315, 476, 276, 4297, 1341, 476, 3953, 1477, 1038, 1820, 6600, 257, 346, 1345, 6983, 348, 290, 568, 3160, 547, 2715, 320, 348, 293, 1701, 10142, 825, 1219, 6460, 318, 26118, 3780, 4311, 8029, 1038, 536, 815, 630, 1345, 8807, 910, 476, 3953, 264, 2608, 630, 276, 270, 280, 3418, 1038, 1820, 6600, 257, 346, 1345, 8807, 348, 293, 568, 3160, 547, 2715, 321, 348, 290, 1701, 3418, 5897, 2745, 2891, 1432, 5106, 596, 1616, 547, 1685, 8119, 3418, 2745, 2891, 3269, 1477, 272, 269, 22417, 17622, 547, 18278, 1477, 273, 269, 22417, 18278, 547, 17622, 1477, 9616, 281, 4964, 1022, 1297, 547, 14827, 27969, 3418, 6112, 6936, 6769, 825, 522, 815, 703, 9272, 2891, 19152, 281, 834, 17903, 825, 952, 522, 2652, 476, 272, 6769, 1038, 533, 815, 703, 9272, 2891, 11767, 519, 2837, 538, 17622, 281, 834, 17903, 1038, 522, 272, 815, 18323, 9638, 267, 7183, 3418, 1038, 522, 272, 26769, 3200, 6958, 16366, 14052, 825, 8640, 522, 2652, 476, 273, 6769, 1038, 7117, 815, 703, 9272, 2891, 11767, 519, 2837, 538, 18278, 281, 834, 17903, 1038, 522, 273, 815, 18323, 263, 14085, 267, 7117, 3418, 1038, 522, 273, 26769, 3200, 318, 26118, 3780, 14052, 825, 3116, 6769, 1038, 2736, 5897, 5897, 0, 258, 5124, 1982, 547, 2638, 2436, 519, 1297, 568, 3501, 610, 711, 23228, 3698, 3501, 3799, 8029, 825, 2698, 815, 476, 271, 1477, 825, 585, 1775, 538, 2039, 263, 272, 19885, 8029, 1038, 952, 562, 260, 328, 2652, 476, 271, 6769, 2018, 2698, 6834, 328, 1477, 825, 952, 562, 2652, 2698, 6769, 1038, 1820, 2891, 763, 1297, 568, 513, 3501, 1297, 1701, 3418, 825, 3116, 6769, 1038, 1820, 2891, 763, 1297, 568, 711, 513, 3501, 1297, 1701, 3418, 333, 815, 703, 9272, 2891, 8923, 4283, 519, 1297, 281, 476, 834, 17903, 704, 2739, 3799, 3418, 0, 258, 5358, 799, 24693, 519, 3593, 781, 1101, 543, 2063, 2012, 543, 1820, 873, 538, 9258, 1931, 609, 513, 2230, 1063, 873, 23228, 4067, 815, 3403, 2891, 8923, 4283, 707, 2012, 281, 834, 1040, 20889, 14052, 320, 815, 2012, 11468, 18737, 272, 15947, 2745, 28949, 320, 267, 572, 335, 815, 834, 834, 3418, 0, 5035, 1448, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 629, 1087, 545, 8619, 267, 15453, 267, 629, 1087, 545, 8619, 272, 267, 15453, 272, 2187, 1038, 1582, 269, 629, 1087, 545, 8619, 815, 705, 1087, 545, 8619, 454, 1038, 1582, 269, 15453, 815, 3921, 3729, 454, 1038, 1582, 269, 629, 1087, 545, 8619, 272, 815, 705, 1087, 545, 8619, 272, 454, 1038, 1582, 269, 15453, 272, 815, 3921, 3729, 272, 454, 825, 1219, 1397, 5891, 4311, 2187, 1038, 1820, 2891, 14140, 11282, 568, 540, 476, 272, 560, 1448, 2580, 1345, 269, 629, 1087, 545, 8619, 994, 1038, 1820, 2891, 5913, 785, 11282, 568, 476, 272, 560, 1448, 2580, 1345, 269, 15453, 994, 1038, 1820, 2891, 14140, 11282, 568, 476, 273, 526, 1448, 2580, 1345, 269, 629, 1087, 545, 8619, 272, 994, 1038, 1820, 2891, 5913, 785, 11282, 568, 476, 273, 526, 1448, 2580, 1345, 269, 15453, 272, 994, 825, 1219, 3845, 4311, 2187, 1038, 524, 815, 16733, 1345, 269, 629, 1087, 545, 8619, 272, 910, 1582, 269, 629, 1087, 545, 8619, 264, 1262, 273, 1341, 630, 1345, 269, 15453, 272, 910, 1582, 269, 15453, 264, 1262, 273, 264, 1262, 263, 271, 269, 276, 994, 1038, 1820, 6262, 994, 320, 815, 703, 9272, 2891, 10938, 519, 705, 1087, 545, 8619, 540, 1101, 1448, 2433, 834, 4297, 22322, 321, 815, 703, 9272, 2891, 10938, 519, 3921, 3729, 540, 1101, 1448, 2433, 834, 4297, 22322, 325, 815, 703, 9272, 2891, 10938, 519, 705, 1087, 545, 8619, 540, 2034, 1448, 2433, 834, 4297, 22322, 323, 815, 703, 9272, 2891, 10938, 519, 3921, 3729, 540, 2034, 1448, 2433, 834, 4297, 8528, 324, 815, 1448, 5416, 14720, 267, 325, 28504, 994, 324, 20481, 5891, 4590, 324, 6155, 2700, 4590, 13872, 0, 258, 5124, 1982, 602, 24693, 519, 8953, 540, 519, 5858, 543, 1939, 525, 519, 1858, 540, 519, 5858, 23228, 5228, 2979, 1104, 14039, 1477, 3698, 1858, 263, 31709, 8029, 825, 2132, 630, 7032, 265, 31709, 1262, 273, 3418, 2745, 263, 19327, 263, 279, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 347, 587, 373, 476, 5002, 276, 476, 4489, 280, 15955, 2008, 347, 5002, 280, 932, 1177, 13239, 1014, 15424, 12836, 2008, 347, 7785, 16295, 2698, 630, 22145, 16295, 2877, 585, 513, 5354, 10245, 347, 20103, 476, 4029, 267, 476, 5002, 280, 2008, 30106, 1248, 719, 1475, 476, 15647, 267, 4281, 279, 267, 5392, 277, 932, 1177, 13239, 2103, 20366, 538, 713, 15424, 12836, 454, 309, 582, 518, 12414, 719, 28206, 1078, 6930, 498, 375, 454, 23277, 1994, 640, 5428, 1475, 14737, 528, 640, 5428, 1475, 23612, 5428, 2008, 347, 22117, 518, 1475, 297, 517, 11936, 28788, 2284, 5839, 10111, 20321, 1475, 22832, 2349, 1515, 654, 2454, 2023, 1475, 297, 517, 11936, 667, 269, 5839, 2704, 553, 323, 1515, 2008, 347, 8512, 344, 1475, 8256, 969, 894, 9549, 5177, 1475, 299, 28515, 9549, 5177, 1475, 299, 28515, 9549, 540, 4516, 2008, 347, 22117, 518, 2094, 1475, 21982, 5604, 676, 5130, 476, 272, 267, 476, 4489, 271, 1475, 20464, 476, 272, 267, 476, 5002, 271, 1475, 20809, 476, 272, 267, 476, 5002, 275, 2008, 347, 22117, 518, 781, 10160, 1475, 306, 11770, 2284, 1475, 295, 1177, 651, 781, 7345, 1475, 295, 531, 604, 1314, 2008, 1103, 5765, 11788, 10579, 12275, 7615, 12359, 553, 28732, 15189, 547, 2196, 585, 519, 772, 14389, 269, 27565, 9549, 2427, 1317, 540, 741, 8106, 12666, 3466, 269, 28732, 781, 9053, 5428, 267, 519, 5177, 23267, 9549, 267, 729, 711, 4847, 547, 581, 513, 16045, 540, 713, 9550, 1317, 540, 4550, 4149, 3469, 626, 21274, 693, 602, 942, 1974, 563, 22416, 24444, 10370, 976, 5839, 298, 20044, 773, 14355, 729, 8719, 607, 6205, 540, 519, 932, 1177, 13239, 1014, 524, 14072, 639, 540, 519, 3703, 20271, 894, 9549, 1317, 540, 14355, 781, 19849, 23035, 9271, 538, 519, 476, 5002, 276, 15424, 12836, 543, 538, 519, 476, 5002, 277, 772, 14389, 269, 2489, 12836, 267, 543, 519, 524, 14072, 639, 8359, 519, 9406, 8862, 532, 7377, 592, 626, 267, 22189, 28788, 2284, 5839, 10111, 20321, 563, 310, 12291, 4607, 513, 1394, 31988, 585, 11504, 519, 3557, 24133, 540, 10348, 15117, 593, 5988, 476, 275, 267, 476, 5002, 272, 267, 18468, 14355, 568, 538, 1309, 14833, 1824, 609, 519, 10348, 267, 543, 519, 1964, 540, 519, 3703, 28370, 543, 824, 3864, 28370, 563, 15152, 5839, 10111, 20321, 781, 5718, 267, 519, 772, 14389, 269, 20271, 894, 9549, 1036, 7134, 1852, 540, 519, 20066, 689, 519, 1079, 27565, 3487, 625, 540, 1312, 4516, 543, 6628, 267, 10888, 476, 22332, 16295, 547, 519, 8644, 5644, 262, 476, 29257, 269, 5839, 10111, 20321, 1031, 3043, 29686, 547, 3142, 856, 519, 3043, 17037, 540, 932, 1177, 13239, 807, 547, 8917, 1247, 1875, 19351, 2572, 941, 23696, 538, 741, 13359, 563, 763, 12836, 941, 513, 11802, 585, 17069, 1235, 689, 1312, 5011, 267, 543, 513, 14710, 585, 519, 10661, 267, 932, 1177, 13239, 2103, 3893, 13110, 540, 519, 3703, 9013, 3592, 1169, 2460, 540, 932, 1177, 13239, 1014, 1272, 267, 543, 519, 4299, 519, 8560, 540, 856, 4707, 11788, 10579, 29346, 10370, 976, 5839, 298, 20044, 773, 14355, 267, 543, 713, 2898, 9550, 4783, 4718, 519, 9550, 540, 519, 1007, 8375, 5182, 538, 29246, 11732, 10588, 267, 22189, 19537, 1146, 645, 1143, 541, 1188, 2473, 23997, 6591, 3084, 3007, 950, 646, 4465, 606, 13347, 11802, 936, 519, 4317, 19391, 520, 8891, 324, 4858, 525, 30501, 267, 945, 729, 519, 4395, 14725, 1676, 540, 519, 5198, 267, 543, 646, 2968, 13042, 607, 834, 2419, 1177, 13239, 807, 781, 11023, 1782, 2580, 645, 1143, 541, 1188, 781, 3094, 729, 2808, 513, 23801, 11802, 585, 17069, 1143, 269, 898, 729, 6140, 513, 3094, 585, 1318, 26310, 17069, 1235, 811, 982, 621, 729, 585, 2451, 26310, 17069, 1235, 1498, 563, 763, 20271, 894, 9549, 5177, 1036, 7134, 1852, 540, 519, 5600, 540, 12780, 267, 519, 5600, 540, 700, 3581, 267, 543, 519, 5600, 540, 24929, 267, 543, 9450, 741, 5354, 538, 519, 14130, 269, 634, 8644, 5644, 4465, 519, 2442, 8917, 267, 543, 5839, 10111, 20321, 3587, 519, 26064, 540, 519, 11534, 3789, 563, 288, 5428, 602, 17993, 519, 476, 22145, 16295, 2877, 585, 513, 5354, 538, 519, 932, 1177, 641, 12994, 20066, 267, 607, 1134, 607, 513, 5354, 540, 782, 2185, 8075, 267, 519, 5600, 540, 12780, 267, 519, 5600, 540, 700, 3581, 267, 519, 5600, 540, 24929, 267, 543, 519, 14130, 267, 786, 723, 15424, 1852, 540, 519, 20066, 269, 634, 11683, 640, 9549, 781, 6205, 568, 1572, 519, 29150, 540, 519, 20066, 267, 543, 519, 19724, 640, 9549, 781, 6205, 568, 1572, 3274, 519, 19724, 640, 26064, 269, 634, 29150, 666, 581, 1572, 519, 11683, 640, 26064, 563, 763, 10966, 26064, 540, 519, 7276, 540, 932, 1177, 13239, 807, 630, 514, 713, 9550, 267, 14890, 16114, 328, 6210, 264, 666, 6430, 519, 11788, 10579, 7488, 540, 519, 6364, 540, 606, 9550, 267, 519, 10966, 26064, 666, 4584, 952, 646, 610, 1352, 6499, 519, 12102, 6205, 547, 1831, 11788, 10579, 267, 519, 10966, 26064, 666, 849, 6430, 952, 646, 610, 1352, 6499, 513, 4351, 1268, 945, 568, 9444, 5354, 610, 12102, 6205, 267, 711, 693, 782, 513, 4759, 540, 519, 20066, 267, 547, 581, 11788, 10579, 269, 634, 10966, 26064, 814, 2347, 1852, 540, 945, 519, 11788, 10579, 666, 581, 563, 294, 541, 7615, 12359, 553, 28732, 267, 519, 19670, 11788, 10579, 267, 15189, 547, 2196, 593, 1022, 540, 519, 1079, 3703, 6105, 1317, 519, 3703, 23267, 9549, 729, 711, 4847, 547, 2196, 1317, 540, 7839, 4550, 4149, 3469, 626, 21274, 1394, 693, 602, 942, 1974, 563, 28269, 10579, 29346, 10370, 976, 5839, 298, 20044, 773, 14355, 729, 10002, 641, 983, 1317, 540, 1010, 7368, 13218, 547, 519, 3703, 269, 543, 519, 932, 1177, 13239, 2103, 941, 849, 20714, 539, 676, 519, 3703, 585, 9013, 1169, 2460, 540, 932, 1177, 13239, 1014, 2486, 267, 25412, 16972, 2418, 593, 873, 267, 543, 3843, 547, 3196, 8567, 1524, 741, 31462, 1846, 563, 22416, 24444, 14355, 729, 17792, 513, 2034, 2165, 676, 14890, 16114, 328, 6210, 7064, 547, 1010, 10002, 641, 983, 640, 543, 1010, 2773, 538, 519, 476, 5002, 276, 12836, 267, 543, 519, 1249, 602, 1010, 5428, 3893, 16760, 538, 519, 2136, 8003, 538, 519, 476, 5002, 277, 5177, 12836, 269, 589, 5951, 540, 17069, 626, 4550, 21553, 704, 658, 626, 10457, 10443, 7488, 540, 5428, 267, 713, 729, 513, 1360, 20748, 9550, 2864, 982, 513, 851, 16388, 9550, 269, 14355, 729, 519, 1641, 540, 24431, 655, 12792, 24242, 6436, 543, 7368, 4550, 21553, 704, 658, 626, 2669, 6937, 563, 310, 12291, 729, 1572, 513, 3673, 626, 267, 513, 4035, 267, 543, 513, 7826, 269, 634, 9930, 1588, 540, 12275, 7615, 28732, 729, 849, 9244, 10353, 1317, 28732, 729, 513, 7826, 267, 543, 28732, 729, 849, 519, 1641, 540, 14640, 4211, 987, 4301, 24242, 6436, 563, 19064, 11823, 9549, 1475, 8512, 344, 26064, 1475, 13233, 22694, 894, 1530, 1846, 1475, 13233, 15019, 966, 1774, 2008, 347, 5353, 1846, 654, 517, 1475, 5002, 280, 23848, 2008, 347, 8256, 969, 894, 9549, 630, 20084, 10534, 297, 517, 11936, 590, 269, 5839, 10111, 20321, 1475, 25908, 1475, 28766, 1475, 7367, 269, 278, 260, 1475, 266, 4200, 1475, 5325, 267, 6812, 274, 267, 6924, 280, 1475, 2764, 269, 272, 260, 1475, 266, 275, 269, 272, 260, 2008, 30054, 28515, 9549, 630, 20084, 10534, 22832, 2349, 1515, 654, 2454, 2023, 1475, 21497, 1475, 16409, 1475, 2190, 269, 276, 260, 1475, 268, 7597, 1475, 7597, 267, 25870, 267, 18458, 1475, 6078, 269, 271, 260, 1475, 268, 1321, 269, 280, 260, 2008, 30054, 28515, 9549, 630, 28657, 10534, 297, 517, 11936, 667, 269, 5839, 2704, 553, 323, 1515, 1475, 15757, 1475, 15389, 1475, 2420, 269, 279, 260, 1475, 268, 1789, 1475, 6078, 267, 4281, 280, 267, 4510, 273, 1475, 2190, 269, 278, 260, 1475, 266, 1015, 269, 279, 260, 2008, 347, 23921, 539, 1677, 12736, 1475, 22145, 2008, 347, 4910, 738, 1475, 8256, 969, 894, 3180, 267, 20271, 894, 12374, 2008, 763, 9550, 729, 4371, 593, 5412, 476, 736, 547, 476, 3066, 540, 476, 5002, 280, 267, 543, 519, 2164, 941, 3370, 593, 5412, 476, 4029, 267, 476, 5002, 280, 269, 634, 570, 1559, 1036, 7134, 741, 5354, 855, 676, 513, 28489, 267, 476, 4200, 16295, 269, 898, 8604, 899, 513, 26949, 728, 585, 519, 570, 1559, 267, 855, 519, 570, 1559, 1185, 513, 28489, 5354, 540, 16295, 269, 634, 570, 1559, 4503, 519, 2442, 8917, 855, 6591, 538, 519, 2442, 8917, 16434, 569, 269, 634, 8225, 8644, 5644, 849, 6591, 538, 519, 2442, 8917, 855, 811, 982, 519, 570, 1559, 563, 763, 570, 1559, 543, 8225, 8644, 5644, 6591, 538, 2442, 1489, 1813, 547, 741, 20261, 593, 4550, 21553, 704, 658, 1143, 1996, 6628, 267, 855, 519, 570, 1559, 6591, 476, 4200, 16295, 3366, 676, 5839, 10111, 20321, 269, 8871, 5799, 17069, 1235, 1519, 22189, 19537, 1146, 645, 1143, 541, 1188, 2473, 23997, 4607, 18487, 3007, 585, 741, 17069, 626, 20261, 543, 26949, 728, 24984, 563, 8450, 849, 22478, 454, 268, 476, 6245, 280, 932, 1177, 13239, 1014, 15424, 12836, 910, 3105, 8717, 9550, 563, 268, 476, 5002, 276, 932, 1177, 13239, 1014, 15424, 12836, 910, 3105, 9550, 563, 268, 476, 4489, 280, 932, 1177, 13239, 1014, 15424, 12836, 910, 1985, 9550, 563, 268, 595, 766, 961, 566, 540, 519, 476, 4489, 276, 15424, 12836, 563, 268, 14890, 16114, 328, 6210, 540, 519, 3703, 7276, 910, 10966, 26064, 1282, 519, 9550, 269, 0, 16966, 547, 1072, 1416, 814, 13856, 519, 1072, 3609, 6429, 585, 1896, 5756, 269, 769, 519, 2038, 476, 1960, 271, 338, 267, 3084, 9086, 267, 968, 684, 1392, 531, 1569, 892, 547, 1072, 1416, 267, 729, 5189, 676, 5518, 22735, 543, 519, 6837, 607, 513, 1259, 547, 1683, 1072, 3354, 585, 782, 4892, 269, 700, 1947, 9840, 941, 6383, 543, 519, 1888, 26017, 3084, 3007, 269, 634, 4674, 267, 4352, 28336, 267, 814, 6854, 519, 1966, 540, 1072, 1416, 1569, 593, 519, 1857, 16786, 269, 7457, 547, 1416, 3622, 4016, 547, 519, 12905, 946, 540, 2123, 1072, 2533, 547, 3035, 519, 1655, 2009, 4093, 269, 7620, 267, 519, 23350, 729, 1569, 547, 13500, 543, 10506, 269, 2859, 5063, 267, 1072, 1416, 1569, 814, 3769, 513, 3099, 540, 7426, 267, 2533, 267, 543, 6703, 269, 538, 1840, 267, 1569, 6257, 519, 4890, 946, 540, 1072, 2533, 543, 2188, 602, 7520, 610, 15641, 324, 1072, 1416, 563, 288, 1485, 630, 1220, 272, 264, 543, 18722, 630, 5408, 18722, 1696, 620, 1421, 476, 1960, 277, 264, 4766, 3670, 2010, 540, 1569, 281, 15783, 1569, 4016, 547, 1072, 1416, 1062, 4162, 602, 3310, 519, 946, 540, 2533, 269, 7464, 1242, 1569, 568, 519, 4890, 946, 540, 1072, 2533, 269, 4982, 3386, 1569, 568, 519, 946, 540, 1072, 2533, 5462, 676, 15295, 4162, 543, 991, 269, 21153, 3386, 1569, 4016, 547, 519, 946, 540, 1072, 2533, 602, 568, 5462, 676, 1514, 3197, 543, 2139, 2200, 269, 13229, 1569, 568, 519, 946, 540, 1072, 2533, 602, 10607, 1072, 4567, 610, 9547, 269, 31478, 1569, 24024, 519, 1942, 540, 1072, 1416, 2533, 543, 12366, 3278, 1072, 4567, 610, 9547, 269, 4935, 267, 1142, 1826, 540, 1569, 547, 1416, 568, 6766, 676, 513, 1297, 540, 4162, 543, 2621, 269, 769, 606, 4674, 547, 1174, 519, 7506, 593, 1569, 547, 1072, 1416, 267, 3875, 2090, 723, 8947, 519, 7496, 547, 1416, 538, 1808, 5095, 563, 2005, 568, 2312, 602, 2516, 543, 2043, 693, 1981, 949, 1995, 2789, 7496, 538, 3843, 547, 1569, 1072, 1416, 269, 1452, 616, 1419, 2043, 543, 2516, 945, 616, 7925, 543, 991, 2789, 2533, 269, 589, 1485, 630, 1220, 272, 264, 4967, 602, 519, 9030, 1072, 2115, 540, 7925, 5095, 616, 2168, 630, 14683, 16151, 11299, 543, 12256, 267, 12225, 1227, 2192, 543, 16981, 267, 7606, 2713, 609, 7486, 270, 15978, 5148, 5626, 630, 618, 958, 2192, 543, 16981, 267, 4568, 610, 6219, 705, 22852, 267, 11980, 610, 4630, 8336, 12155, 5148, 1514, 630, 629, 6748, 3885, 267, 15602, 7606, 267, 11082, 543, 15076, 1040, 3509, 540, 891, 7925, 2516, 723, 3444, 12827, 1154, 1072, 2115, 971, 607, 10599, 1229, 9176, 2021, 267, 9176, 267, 15602, 267, 6219, 268, 629, 6748, 2021, 269, 1452, 2021, 616, 782, 693, 2799, 1981, 267, 8506, 7463, 2533, 543, 7680, 2789, 7496, 547, 17034, 1416, 269, 589, 2582, 1790, 1861, 17104, 4807, 609, 1614, 1453, 543, 1100, 6142, 267, 2713, 538, 513, 6917, 1858, 267, 2693, 2833, 519, 1739, 7496, 912, 268, 23225, 518, 7426, 538, 6917 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5694, 5995, 454, 269, 15486, 540, 10733, 1427, 3555, 454, 303, 3233, 5711, 9882, 454, 281, 621, 8992, 519, 13250, 540, 4551, 538, 519, 5023, 543, 519, 5250, 540, 5959, 15799, 5196, 519, 3544, 540, 891, 4522, 267, 602, 3123, 6553, 540, 519, 14779, 543, 4617, 839, 5642, 563, 288, 1375, 4809, 17678, 281, 519, 6165, 540, 513, 2182, 1532, 2077, 1194, 28750, 610, 16789, 17678, 949, 2014, 10733, 15087, 543, 865, 5818, 741, 21748, 269, 1234, 1027, 532, 717, 4548, 22320, 7982, 454, 281, 30926, 28453, 3123, 13802, 547, 2445, 689, 519, 5023, 267, 538, 1840, 547, 606, 5711, 3819, 1145, 799, 2337, 9062, 519, 4551, 3743, 585, 513, 3099, 540, 3676, 543, 5711, 5343, 725, 269, 589, 4719, 32739, 912, 514, 930, 1004, 267, 621, 568, 741, 4719, 2245, 602, 568, 5097, 18177, 585, 922, 1427, 3555, 540, 14779, 543, 824, 5711, 2042, 563, 295, 768, 4689, 4713, 281, 606, 2629, 21131, 540, 21110, 1522, 10726, 519, 3597, 2014, 540, 741, 1427, 3555, 540, 519, 14779, 267, 538, 1880, 538, 519, 2503, 656, 4807, 269, 901, 4430, 9449, 568, 2469, 547, 581, 4362, 693, 519, 2179, 540, 741, 10733, 267, 543, 713, 786, 3049, 930, 23633, 4551, 4171, 1297, 786, 9062, 267, 1802, 1424, 8101, 6553, 540, 519, 10733, 543, 1427, 3555, 269, 1684, 717, 4548, 22320, 7982, 2991, 1234, 1027, 532, 888, 303, 1512, 322, 902, 281, 9849, 11469, 610, 9067, 22815, 322, 902, 666, 1267, 538, 8628, 27012, 689, 519, 14779, 543, 865, 2014, 811, 610, 1447, 4049, 15087, 543, 5343, 725, 563, 20332, 14319, 547, 2061, 543, 10826, 10733, 21748, 454, 763, 1427, 3555, 540, 519, 14779, 666, 581, 513, 1966, 602, 814, 547, 581, 5701, 538, 922, 2038, 5933, 547, 1832, 621, 689, 3395, 883, 1974, 2632, 4345, 454, 269, 898, 568, 9244, 15695, 547, 5077, 609, 513, 11290, 267, 945, 786, 1685, 1784, 2718, 547, 4894, 15799, 543, 1521, 707, 28332, 14779, 269, 7849, 3816, 12203, 674, 30480, 717, 636, 4825, 3555, 454, 23613, 538, 14434, 267, 3039, 7401, 2337, 9004, 13802, 543, 1863, 18119, 267, 519, 1292, 2601, 585, 27731, 3676, 269, 898, 781, 849, 2407, 540, 524, 622, 24739, 267, 513, 3810, 2500, 15934, 799, 666, 8190, 2635, 20018, 10733, 5160, 543, 3976, 2061, 10733, 1427, 3555, 543, 3138, 657, 2287, 540, 4522, 269, 6875, 513, 7484, 540, 3039, 7401, 3232, 269, 1684, 717, 4548, 22320, 7982, 888, 763, 620, 4141, 2357, 320, 454, 18814, 547, 4550, 1532, 17424, 267, 7067, 543, 25695, 3601, 267, 713, 2030, 666, 948, 596, 1521, 707, 28332, 14779, 267, 10826, 5563, 543, 7816, 8697, 5160, 269, 898, 781, 2009, 547, 946, 620, 4141, 2357, 320, 15074, 29809, 538, 1216, 899, 513, 5023, 31683, 610, 596, 666, 946, 621, 585, 17678, 707, 4522, 267, 1318, 1310, 707, 2834, 17678, 269, 5901, 621, 585, 476, 276, 3764, 1287, 27125, 8499, 269, 3004, 794, 3282, 454, 288, 575, 1173, 548, 1210, 17310, 3282, 610, 3675, 329, 20899, 3282, 568, 606, 2500, 16185, 1996, 9190, 2208, 593, 707, 5023, 269, 3502, 1152, 616, 596, 2469, 547, 9004, 23633, 4551, 799, 2014, 19659, 267, 6553, 540, 519, 14779, 543, 10300, 527, 2670, 267, 18562, 267, 596, 786, 849, 2061, 15799, 19221, 538, 707, 1378, 19596, 269, 2052, 1234, 1027, 532, 717, 4548, 22320, 7982, 888, 5475, 17678, 707, 4522, 267, 21066, 3002, 707, 3282, 543, 1711, 575, 1173, 956, 267, 23679, 585, 476, 1428, 547, 476, 736, 3764, 269, 1411, 616, 2111, 547, 2253, 609, 513, 476, 273, 18826, 575, 1173, 548, 267, 543, 7930, 3986, 922, 8653, 269, 12708, 11041, 454, 29973, 11041, 723, 1044, 4583, 585, 741, 3532, 27611, 543, 30624, 25193, 3601, 269, 17186, 835, 547, 1079, 12772, 538, 1079, 512, 26138, 1216, 267, 1287, 946, 519, 16185, 547, 11453, 707, 4522, 543, 18552, 707, 14779, 563, 23219, 940, 281, 519, 13345, 540, 1898, 11041, 568, 711, 5227, 585, 9176, 543, 14915, 908, 8951, 269, 0, 288, 9583, 20036, 887, 4823, 602, 666, 581, 6854, 607, 513, 4620, 267, 519, 11188, 24189, 710, 568, 2965, 3833, 513, 5906, 3662, 602, 666, 10726, 513, 17794, 609, 922, 844, 1571, 269, 1773, 4868, 540, 4241, 543, 29737, 14868, 31721, 1472, 621, 267, 543, 844, 650, 15246, 568, 519, 1292, 835, 269, 5410, 519, 14686, 8914, 267, 543, 519, 11188, 24189, 710, 3587, 513, 1483, 11318, 3684, 269, 1809, 568, 621, 2731, 865, 286, 2913, 781, 1413, 693, 2182, 543, 8810, 1239, 547, 1265, 856, 563, 5591, 267, 789, 666, 1406, 269, 4256, 844, 1571, 616, 14605, 6378, 538, 519, 2960, 267, 865, 789, 3362, 2611, 538, 519, 16398, 540, 11975, 1282, 606, 4323, 563, 5591, 267, 891, 616, 2241, 26389, 267, 5594, 17208, 267, 17860, 267, 610, 4904, 609, 513, 29008, 344, 2527, 563, 5278, 540, 519, 844, 1571, 723, 3046, 2125, 267, 1818, 873, 2352, 547, 4894, 269, 769, 1840, 267, 26389, 616, 13897, 543, 7452, 19216, 267, 2111, 547, 3142, 5563, 883, 519, 16398, 563, 6524, 18167, 883, 922, 844, 1571, 267, 1577, 781, 1101, 1413, 693, 713, 8966, 3662, 269, 1358, 2661, 538, 930, 7489, 2477, 267, 7013, 2342, 267, 543, 3162, 3013, 267, 7610, 1746, 795, 2426, 956, 267, 5260, 2335, 553, 267, 9299, 597, 625, 267, 543, 1256, 24301, 563, 3080, 540, 519, 4102, 23224, 267, 789, 616, 2034, 1152, 547, 1698, 344, 8663, 553, 543, 581, 28316, 269, 1717, 267, 1152, 930, 11188, 24189, 710, 2249, 666, 30107, 971, 2450, 269, 634, 7887, 540, 873, 9260, 909, 547, 476, 2767, 13532, 267, 1247, 519, 5318, 5354, 10355, 1332, 811, 982, 476, 279, 1700, 1321, 13532, 269, 634, 4102, 2249, 9789, 1212, 23264, 11188, 24189, 710, 1765, 4754, 1332, 909, 547, 476, 3445, 4699, 1279, 267, 7132, 513, 476, 1015, 1700, 1428, 4699, 2766, 563, 3528, 519, 1259, 267, 713, 2249, 568, 1034, 5078, 585, 10203, 844, 1571, 269, 898, 666, 723, 607, 1082, 607, 476, 1789, 8536, 844, 1571, 593, 922, 1560, 267, 610, 1256, 811, 563, 4322, 20036, 2831, 616, 4535, 609, 2571, 26389, 267, 1175, 899, 21963, 327, 9233, 269, 1717, 267, 519, 26389, 2182, 523, 936, 942, 267, 1818, 621, 513, 6325, 1797, 540, 8878, 1996, 11975, 3168, 585, 513, 3500, 7594, 269, 28769, 24189, 1149, 1831, 4628, 2919, 543, 4830, 693, 1079, 3275, 540, 2085, 269, 1358, 616, 7168, 2653, 547, 512, 877, 9789, 344, 798, 711, 1397, 14699, 2509, 519, 8227, 543, 666, 581, 32620, 10130, 563, 5194, 1390, 1249, 827, 713, 887, 4823, 568, 922, 1279, 1272, 269, 1358, 666, 2661, 909, 547, 476, 736, 1296, 538, 24811, 543, 3368, 607, 1279, 538, 519, 3552, 563, 1103, 1082, 9413, 543, 27977, 267, 11188, 24189, 1149, 9496, 741, 844, 1571, 693, 741, 14763, 630, 663, 3006, 693, 741, 2828, 1040, 1656, 713, 267, 540, 1576, 267, 5795, 4473, 547, 713, 11495, 543, 2442, 7242, 269, 1809, 1577, 781, 711, 2322, 782, 519, 16620, 593, 2413, 5496, 32392, 269, 769, 1249, 267, 519, 10828, 3771, 802, 1394, 547, 2025, 2053, 540, 519, 3504, 4936, 5736, 269, 4746, 267, 513, 11188, 24189, 710, 5526, 593, 519, 30118, 540, 8402, 2473, 2862, 267, 945, 5030, 1394, 538, 519, 476, 1626, 628, 2540, 269, 898, 13269, 519, 11188, 24189, 710, 609, 513, 13862, 593, 922, 1394, 267, 15246, 922, 844, 1571, 563, 4913, 267, 11188, 24189, 1149, 1175, 3112, 9496, 741, 844, 1571, 269, 1358, 616, 8810, 547, 723, 1100, 2027, 2645, 538, 741, 4703, 585, 713, 269, 4746, 267, 1317, 844, 1571, 616, 17860, 543, 3976, 1932, 1769, 547, 5734, 519, 3077, 267, 789, 616, 711, 519, 1655, 4781, 585, 15246, 269, 5047, 267, 789, 616, 2141, 17208, 513, 3787, 267, 1818, 873, 711, 865, 4666, 6823, 563, 303, 528, 24189, 1149, 723, 1896, 2081, 547, 2149, 2933, 689, 14763, 269, 4495, 513, 23246, 568, 1472, 267, 519, 11188, 24189, 710, 14678, 12651, 922, 844, 1571, 267, 799, 7363, 9114, 6366, 269, 4935, 267, 1152, 9157, 12897, 666, 1205, 2673, 547, 713, 533, 4459, 548, 3440, 269, 5047, 267, 519, 3662, 6238, 804, 30568, 922, 4522, 1247, 922, 17860, 844, 1571, 616, 678, 3430, 1782, 269, 901, 568, 2943, 1776, 8878, 1996, 11975, 267, 1519, 1312, 7314, 630, 331, 687, 543, 682, 641, 1841, 264, 543, 27738, 630, 335, 2814, 976, 1916, 2252, 713, 3085, 1405, 960, 267, 519, 11188, 24189, 710, 949, 1287, 4323, 269, 5695, 940, 922, 1394, 610, 5011, 267, 621, 678, 16640, 693, 519, 23246, 267, 1210, 922, 2766, 547, 5734, 519, 10546, 781, 2879, 719, 610, 533, 9155, 269, 901, 568, 1141, 519, 1187, 5956, 269, 31418, 1176, 1033, 3737, 267, 8325, 26389, 1205, 883, 519, 25433, 781, 1560, 269, 3683, 942, 267, 519, 11188, 24189, 710, 9428, 1007, 26389, 267, 6466, 519, 23246, 1698, 527, 12885, 609, 844, 1571, 31732, 24851, 689, 922, 16398, 267, 865, 1252, 3585, 2016, 676, 519, 834, 324, 6470, 5779, 4799, 11039, 3222, 540, 713, 11188, 24189, 710, 4183, 267, 1034, 2831, 538, 741, 7226, 1796, 705, 871, 689, 891, 23487, 995, 7068, 543, 4323, 1152, 607, 513, 2063, 18992, 269, 1280, 1383, 267, 950, 7928, 14286, 538, 10122, 1118, 519, 3662, 3442, 2436, 547, 1491, 513, 4960, 543, 10544, 513, 11188, 24189, 710, 610, 5884, 540, 14000, 563, 4913, 267, 971, 513, 10639, 4249, 513, 16970, 24983, 593, 1804, 23224, 281, 789, 616, 865, 1031, 547, 1373, 2922, 602, 789, 949, 7340, 547, 2149, 2933, 269, 4634, 950, 25884, 513, 1286, 267, 789, 798, 711, 2119, 547, 9101, 855, 979, 593, 519, 4323, 269, 1306, 513, 1267, 267, 11188, 24189, 1149, 5884, 896, 519, 14743, 563, 5591, 267, 789, 2811, 9090, 711, 269, 634, 11188, 24189, 710, 814, 1100, 15374, 602, 1131, 694, 4740, 8914, 267, 865, 602, 781, 711, 519, 1448, 269, 634, 8594, 1934, 568, 1114, 563, 20058, 267, 621, 779, 782, 827, 13897, 269, 28769, 24189, 1149, 616, 1507, 2831, 602, 6108, 1454, 942, 20857, 543, 3276, 8089, 269, 1924, 741, 2960, 267, 15144, 267, 543, 844, 1571, 6923, 1205, 7452, 344, 269, 4475, 267, 21108, 1996, 11975, 949, 3142, 13897, 883, 519, 16398, 267, 4929, 3968, 543, 6553, 563, 30772, 267, 844, 1571, 616, 1360, 2653, 547, 2736, 269, 634, 23246, 3112, 1205, 782, 540, 621, 856, 267, 1317, 844, 1571, 2736, 883, 4773, 602, 2611, 538, 519, 16398, 267, 12042, 1359, 7067, 543, 1818, 1919, 8338, 563, 1607, 949, 1291, 547, 6397, 4539, 269, 1280, 1383, 267, 513, 17794, 610, 682, 16985, 3893, 922, 30392, 10413, 267, 543, 519, 1928, 4769, 1405, 3247, 585, 513, 1360, 1279, 942, 282, 519, 23246, 666, 1100, 3476, 2196, 543, 29677, 16190, 2831, 607, 621, 1031, 547, 543, 568, 3908, 547, 14887, 3283, 267, 5182, 1324, 547, 2669, 269, 1656, 713, 568, 1141, 1004, 949, 2887, 10352, 547, 513, 23246, 607, 1134, 269, 1924, 267, 519, 7237, 609, 11188, 24189, 710, 844, 1571, 7140, 1082, 682, 641, 1841, 883, 812, 3887, 11596, 563, 27066, 281, 25103, 543, 2959, 0, 22517, 739, 707, 4081, 2773, 2336, 292, 6470, 26159, 543, 1603, 4388, 585, 1053, 1107, 606, 3872, 813, 585, 3384, 1603, 1983, 543, 11264, 4081, 4574, 2687, 547, 11249, 6163, 2838, 676, 5238, 563, 9596, 11249, 6163, 609, 2653, 547, 1174, 2656, 4808, 543, 1806, 912, 663, 824, 11249, 6163, 4947, 4166, 912, 763, 813, 3568, 1863, 3391, 543, 7840, 585, 1053, 593, 4081, 26159, 543, 2953, 11249, 269, 5272, 1576, 568, 5258, 883, 519, 1739, 4245, 547, 8897, 519, 12445, 912, 268, 4937, 14474, 1154, 543, 8525, 20233, 719, 454, 268, 769, 17856, 13022, 725, 454, 268, 853, 2643, 2065, 14502, 885, 454, 268, 23959, 543, 22955, 454, 268, 7433, 20233, 719, 7151, 454, 24916, 267, 596, 786, 1265, 3730, 2959, 585, 2417, 5432, 1436, 593, 1169, 11249, 2511, 563, 5970, 596, 3893, 930, 22302, 942, 286, 30205, 707, 2773, 676, 2542, 4930, 593, 3811, 1603, 912, 268, 476, 2004, 5675, 13088, 281, 16797, 5903, 454, 268, 476, 278, 18963, 540, 22054, 12856, 454, 268, 476, 6078, 9293, 602, 616, 14568, 982, 6153, 454, 268, 476, 1321, 9669, 585, 14568, 6355, 5675, 454, 268, 476, 1015, 18049, 27190, 1389, 1411, 1058, 3680, 454, 268, 476, 736, 9669, 547, 13724, 707, 5675, 8605, 2032, 454, 12234, 267, 596, 949, 1265, 621, 3730, 547, 5077, 519, 6035, 24920, 1991, 547, 26446, 519, 1957, 547, 707, 14357, 1175, 547, 1118, 2386, 4986, 729, 14406, 2336, 1805, 3089, 538, 1603, 286, 2052, 1405, 2097, 909, 609, 2093, 547, 2328 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2564, 11285, 269, 834, 296, 3592, 2141, 1294, 15185, 1927, 547, 1865, 16245, 850, 14524, 269, 898, 1419, 7140, 856, 602, 1312, 4891, 723, 2152, 3823, 519, 4638, 2078, 543, 2899, 789, 616, 856, 538, 519, 1930, 267, 15185, 666, 960, 1927, 593, 513, 811, 17598, 4638, 1995, 2437, 3081, 21634, 2292, 563, 8170, 519, 5061, 1031, 585, 4965, 267, 28886, 5670, 545, 31520, 949, 581, 2404, 609, 16245, 850, 2042, 543, 824, 5061, 949, 581, 2655, 21114, 547, 2061, 713, 28658, 269, 17497, 2139, 31431, 1331, 1207, 335, 1886, 542, 267, 683, 325, 1794, 617, 821, 267, 543, 911, 345, 617, 821, 269, 634, 16496, 22515, 556, 340, 696, 820, 20127, 630, 1122, 267, 2770, 2135, 564, 710, 267, 521, 1068, 1537, 710, 267, 1612, 2135, 564, 710, 267, 524, 1388, 641, 1090, 264, 666, 849, 2014, 7965, 609, 11581, 267, 855, 789, 1522, 849, 723, 824, 1713, 4638, 2427, 2360, 267, 1519, 8519, 5391, 18480, 543, 606, 3073, 553, 8926, 563, 1103, 9038, 267, 519, 5354, 540, 19697, 568, 9658, 1540, 689, 519, 1449, 525, 267, 8754, 519, 2165, 968, 11687, 16238, 6100, 634, 9449, 568, 849, 3812, 538, 1507, 5666, 676, 519, 29427, 14189, 269, 634, 2504, 540, 713, 9449, 568, 6417, 676, 519, 20968, 31726, 543, 30783, 14189, 538, 519, 2634, 269, 634, 30783, 14189, 11392, 5528, 689, 519, 20968, 31726, 593, 875, 1454, 19697, 2115, 6721, 543, 10596, 713, 1344, 5196, 519, 1449, 2873, 3842, 6464, 543, 10399, 21883, 538, 519, 18072, 563, 763, 1101, 1900, 538, 8156, 519, 3461, 609, 11581, 568, 547, 1491, 513, 9488, 4638, 267, 2564, 267, 543, 26447, 1686, 269, 7726, 3534, 2231, 616, 2139, 547, 4217, 19353, 538, 13844, 1271, 3461, 1239, 269, 630, 8450, 19809, 4700, 21988, 2126, 540, 4638, 14524, 814, 1044, 7152, 547, 2087, 4638, 25055, 543, 9547, 267, 2087, 4638, 3344, 540, 2298, 540, 1272, 267, 2087, 2949, 2298, 540, 1272, 267, 543, 14867, 2589, 540, 4965, 269, 630, 8450, 9615, 8094, 5629, 513, 2347, 4638, 543, 2564, 1686, 814, 1044, 6192, 267, 3617, 8047, 2090, 1058, 581, 5342, 269, 769, 519, 3355, 6268, 540, 11581, 267, 10427, 8047, 4152, 568, 10355, 2556, 269, 1280, 1383, 267, 16796, 19697, 630, 663, 3006, 7139, 716, 514, 264, 568, 3335, 1152, 3730, 950, 519, 3461, 9727, 3834, 690, 517, 611, 531, 2934, 610, 1449, 7781, 693, 15577, 267, 610, 950, 4791, 1686, 568, 2303, 633, 269, 16952, 17441, 6268, 949, 1331, 11178, 18398, 9449, 538, 1346, 609, 513, 4791, 27421, 540, 30847, 610, 3617, 3987, 9584, 538, 1346, 9306, 609, 513, 6161, 585, 15176, 7280, 10307, 269, 1403, 519, 3461, 814, 711, 1044, 11117, 609, 513, 20188, 8470, 543, 5409, 28309, 573, 8598, 568, 16143, 267, 6482, 543, 3617, 29748, 547, 4835, 4915, 610, 3556, 5735, 568, 5227, 269, 769, 1034, 2665, 267, 513, 17895, 894, 5868, 666, 581, 3964, 609, 513, 2347, 4638, 543, 2564, 1686, 267, 2168, 6514, 267, 543, 3908, 610, 1100, 8047, 4152, 563, 2467, 568, 513, 2942, 9756, 540, 19697, 2157, 609, 9842, 2381, 4094, 1437, 1807, 28166, 268, 272, 630, 5183, 296, 268, 272, 264, 630, 10908, 826, 1188, 1696, 620, 476, 1960, 274, 282, 29928, 476, 1960, 274, 1070, 799, 568, 513, 2101, 605, 628, 19407, 5328, 3815, 543, 1634, 547, 581, 2404, 609, 11144, 540, 19473, 29912, 267, 607, 1134, 607, 824, 605, 628, 19407, 5328, 2188, 27417, 514, 4094, 267, 14668, 273, 268, 21468, 680, 553, 2381, 543, 3815, 23446, 630, 289, 517, 603, 517, 11860, 31463, 1696, 620, 476, 2735, 279, 282, 3794, 826, 1188, 1696, 620, 476, 1960, 274, 282, 29928, 476, 1960, 274, 282, 1546, 623, 1120, 7637, 1696, 620, 476, 1960, 278, 1040, 1703, 568, 513, 2318, 9756, 609, 5160, 9842, 2381, 4094, 1437, 1807, 630, 339, 5183, 264, 799, 568, 835, 540, 519, 2101, 27417, 514, 32673, 8069, 630, 10908, 826, 1188, 1696, 620, 476, 1960, 274, 1040, 3955, 14846, 8062, 723, 3254, 513, 9243, 1198, 540, 12214, 19697, 10682, 593, 519, 2101, 32378, 2188, 630, 29834, 1696, 620, 476, 1220, 276, 264, 855, 24101, 1429, 903, 8344, 543, 4088, 7245, 666, 3132, 513, 10151, 7646, 605, 18396, 698, 592, 656, 1198, 630, 4517, 3205, 1696, 620, 476, 1960, 276, 1916, 288, 3677, 3084, 1353, 267, 519, 2817, 2657, 543, 4317, 5020, 11752, 267, 6743, 693, 4638, 1599, 538, 2367, 543, 2021, 269, 275, 901, 1353, 23500, 476, 272, 267, 25148, 2367, 9907, 476, 1240, 547, 476, 6795, 543, 849, 13006, 606, 2333, 538, 11581, 609, 2085, 269, 3958, 267, 519, 1353, 1336, 513, 6175, 538, 4638, 7287, 609, 2810, 2085, 269, 9093, 538, 519, 9510, 20165, 630, 2004, 547, 476, 6795, 264, 941, 811, 982, 476, 274, 2053, 607, 2693, 547, 1995, 552, 14431, 2042, 543, 547, 1867, 1970, 4638, 7287, 3379, 609, 2367, 476, 1240, 547, 476, 3066, 269, 15232, 540, 4638, 14524, 729, 811, 2693, 1851, 2367, 538, 4057, 2168, 543, 3929, 1072, 269, 634, 1353, 849, 11943, 602, 4638, 14524, 568, 606, 1271, 1857, 1072, 6161, 543, 602, 3929, 2152, 616, 2693, 547, 3565, 547, 519, 1995, 4638, 14524, 563, 288, 1644, 3390, 568, 519, 1761, 946, 540, 19697, 607, 513, 18337, 21729, 617, 559, 1807, 543, 4550, 268, 836, 1400, 8665, 269, 4530, 16238, 814, 1044, 3254, 547, 957, 607, 513, 21729, 617, 559, 1807, 540, 18337, 16209, 693, 12214, 9830, 1282, 2587, 25086, 630, 2171, 6277, 267, 5062, 10468, 650, 1696, 620, 476, 1960, 280, 1040, 5015, 2367, 2016, 513, 19697, 13297, 1991, 547, 3635, 4152, 4951, 4824, 2773, 267, 607, 12290, 676, 5254, 2242, 3379, 547, 21897, 630, 305, 657, 8457, 1696, 620, 476, 1960, 280, 282, 30197, 267, 17566, 517, 1696, 620, 476, 1960, 280, 1040, 10029, 540, 835, 547, 1614, 3275, 540, 19697, 2126, 814, 849, 1044, 3254, 547, 2087, 2589, 540, 2587, 2088, 543, 3635, 1449, 2773, 630, 310, 340, 543, 654, 1263, 476, 1960, 274, 282, 2296, 1696, 620, 476, 1220, 271, 282, 631, 1779, 514, 267, 623, 7676, 267, 24261, 1696, 620, 476, 1220, 275, 1040, 7043, 518, 2165, 2090, 616, 25093, 269, 898, 568, 2219, 602, 19697, 10607, 2587, 2088, 1813, 922, 21729, 617, 559, 2218, 2962, 267, 799, 4386, 10446, 540, 519, 543, 4088, 13805, 267, 3842, 3625, 1228, 540, 700, 15178, 7513, 9055, 693, 519, 1591, 9245, 540, 519, 15466, 5347, 4887, 538, 606, 2962, 2147, 547, 519, 1019, 5139, 16552, 5090, 710, 7513, 7302, 14128, 3625, 619, 971, 607, 562, 604, 19947, 710, 630, 295, 718, 1696, 620, 476, 1220, 277, 1916, 13914, 540, 16245, 850, 14524, 607, 707, 1560, 779, 968, 13765, 2599, 1769, 1848, 634, 1973, 8043, 538, 519, 4050, 529, 616, 4130, 982, 824, 2694, 540, 519, 1560, 267, 865, 5817, 2175, 899, 17808, 16209, 267, 2295, 2068, 267, 610, 1164, 1973, 2604, 2356, 1397, 909, 607, 11581, 1354, 1945, 811, 3978, 899, 513, 2295, 4323, 610, 8482, 269, 11581, 568, 707, 1560, 779, 1259, 540, 6031, 267, 968, 306, 15036, 568, 4636, 1848, 1656, 519, 1592, 540, 1919, 602, 2014, 16245, 850, 14524, 666, 1331, 281, 0, 763, 3339, 2418, 585, 519, 16796, 570, 275, 281, 307, 274, 5223, 616, 25864, 5941, 538, 519, 3332, 1317, 6482, 540, 16796, 570, 274, 2157, 568, 711, 513, 5227, 6364, 538, 30847, 630, 272, 1040, 769, 513, 1804, 1353, 540, 5111, 476, 23884, 271, 2635, 2043, 630, 275, 1070, 519, 16796, 1863, 570, 275, 281, 16451, 570, 274, 5223, 729, 1472, 476, 274, 267, 607, 10353, 547, 513, 5223, 540, 476, 275, 538, 811, 982, 476, 5197, 271, 2550, 945, 1185, 22734, 11178, 26618, 543, 941, 8391, 561, 6253, 344, 6918, 710, 1395, 8839, 269, 634, 7222, 16796, 1863, 570, 275, 281, 16451, 570, 274, 5223, 538, 2550, 11173, 547, 4309, 964, 27364, 730, 11178, 568, 711, 1134, 20452, 267, 855, 519, 16796, 2698, 570, 275, 281, 307, 274, 5223, 568, 1634, 547, 581, 1970, 630, 2764, 267, 476, 2004, 1040, 769, 835, 1353, 267, 519, 16796, 2698, 570, 275, 281, 20135, 570, 274, 729, 827, 476, 2412, 538, 2550, 8391, 964, 27364, 730, 11178, 543, 827, 476, 1911, 538, 1346, 2921, 561, 6253, 344, 6918, 710, 1395, 8839, 630, 2568, 1040, 2986, 1576, 267, 713, 568, 4299, 676, 519, 12557, 540, 1973, 4015, 538, 6935, 547, 519, 12557, 540, 561, 2389, 686, 1675, 18333, 1258, 710, 7245, 267, 799, 568, 711, 4122, 4080, 269, 4033, 1883, 2188, 616, 519, 1134, 8153, 4057, 10063, 322, 2225, 540, 519, 16796, 2698, 570, 274, 22368, 630, 8618, 264, 543, 519, 7679, 3720, 609, 1463, 6482, 540, 1863, 570, 274, 630, 276, 1916, 763, 11178, 14189, 267, 13883, 1175, 2630, 519, 17566, 11945, 593, 519, 1970, 851, 540, 519, 8405, 267, 7472, 519, 11178, 10399, 538, 519, 1560, 269, 634, 11178, 14189, 568, 8032, 899, 513, 18173, 543, 12109, 1186, 3294, 1472, 519, 30439, 320, 609, 1079, 10981, 525, 7923, 547, 513, 3844, 568, 628, 16443, 269, 1879, 596, 3548, 3536, 5627, 22752, 971, 607, 6070, 543, 16872, 267, 713, 11178, 14189, 3096, 519, 7329, 617, 710, 547, 3132, 519, 11178, 10399, 269, 1703, 616, 1079, 1271, 2010, 540, 11178, 10399, 3812, 799, 1131, 581, 570, 275, 610, 774, 344, 549, 345, 710, 543, 570, 274, 610, 10222, 1675, 18333, 1258, 710, 630, 307, 274, 1040, 1452, 2272, 585, 1034, 540, 519, 11178, 10399, 1459, 538, 519, 18072, 269, 570, 274, 568, 519, 811, 3742, 540, 519, 10399, 543, 621, 5540, 10408, 10307, 563, 1103, 930, 2127, 540, 519, 1158, 267, 19381, 1242, 6070, 568, 606, 1898, 1259, 547, 2061, 22752, 10638, 267, 1212, 339, 24452, 267, 543, 2790, 29472, 566, 1813, 547, 22752, 10638, 538, 9176, 2021, 269, 769, 519, 2136, 2276, 267, 2705, 267, 1082, 1004, 723, 3908, 741, 6070, 6981, 610, 11074, 1210, 19381, 1242, 6070, 267, 543, 596, 991, 2614, 22752, 585, 519, 11178, 547, 1599, 5265, 269, 1323, 4430, 540, 22752, 267, 2705, 267, 568, 849, 5532, 547, 2799, 1981, 540, 11178, 2068, 267, 865, 9363, 538, 2039, 543, 9319, 10638, 610, 4430, 568, 1898, 563, 295, 1662, 574, 9369, 779, 2068, 568, 519, 1034, 1455, 16991, 2068, 5532, 547, 30847, 269, 769, 1249, 267, 519, 2783, 538, 799, 519, 16991, 1062, 9072, 519, 11178, 4481, 568, 4122, 1634, 607, 25300, 574, 9369, 779, 774, 8557, 4345, 269, 25300, 574, 9369, 779, 774, 8557, 4345, 568, 950, 519, 4761, 1062, 9072, 12489, 2047, 547, 519, 11178, 267, 4929, 6553, 540, 519, 11178, 14189, 543, 3976, 12145, 519, 14189, 779, 2702, 547, 3132, 922, 15518, 730, 10399, 563, 16352, 513, 11178, 2783, 568, 1100, 17552, 5371, 267, 855, 596, 2811, 711, 4805, 609, 713, 1072, 3390, 269, 4340, 547, 519, 1977, 774, 8557, 5948, 267, 811, 982, 476, 1321, 2600, 540, 519, 2551, 949, 1439, 909, 7231, 609, 513, 11178, 2783, 693, 930, 1448, 538, 741, 2729, 269, 1656, 11178, 2152, 666, 581, 14229, 21294, 281, 2986, 519, 5176, 476, 736, 2929, 4892, 2713, 609, 519, 2068, 267, 607, 1082, 607, 476, 2568, 2600, 1810, 1405, 1256, 8275, 789, 723, 621, 563, 288, 742, 559, 5573, 2598, 26918, 281, 1703, 616, 6402, 593, 713, 3135, 602, 666, 581, 3989, 607, 24988, 6402, 269, 901, 1797, 602, 594, 949, 4309, 513, 1507, 10243, 630, 520, 1100, 1942, 547, 596, 264, 952, 596, 6718, 1945, 950, 14467, 593, 519, 6402, 602, 1491, 596, 998, 547, 513, 1114, 3896, 269, 1635, 14467, 593, 519, 6402, 267, 596, 616, 538, 1100, 1259, 8078, 730, 547, 4444, 563, 8923, 8074, 281, 634, 1570, 593, 713, 3135, 568, 3177, 585, 21141, 5301, 1152, 543, 568, 711, 2564, 5796, 269, 11408, 5077, 707, 10629, 1354, 4098, 1022, 2732, 610, 3635, 1982, 563, 15648, 9736, 2661, 7749, 601, 17670, 3820, 0, 763, 2916, 538, 31123, 334, 2801, 1282, 5147, 666, 581, 24298, 607, 3905, 543, 3819, 563, 20809, 568, 538, 519, 5162, 538, 31123, 334, 2801, 543, 568, 3335, 519, 4411, 652, 3923, 540, 519, 1032, 269, 4303, 5503, 5021, 5210, 3328, 1472, 476, 4029, 9180, 630, 9262, 13790, 1070, 15029, 693, 3781, 476, 1240, 9180, 630, 4792, 13790, 264, 568, 3339, 563, 347, 21196, 5503, 2837, 1475, 1789, 269, 278, 9180, 476, 9262, 269, 273, 13790, 2008, 347, 301, 4774, 2837, 1475, 1240, 269, 275, 9180, 476, 4792, 13790, 2008, 24820, 2071, 2837, 1475, 2190, 269, 276, 9180, 476, 10602, 269, 272, 13790, 2008, 25238, 2905, 24106, 1475, 280, 269, 279, 31477, 2008, 347, 13510, 326, 11811, 1475, 1556 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2015, 513, 13496, 5958, 585, 707, 3490, 6106, 269, 968, 4322, 17234, 616, 9735, 693, 530, 10107, 7509, 689, 519, 1560, 267, 799, 2636, 596, 547, 17570, 543, 7362, 1247, 5329, 596, 3636, 2223, 3081, 15616, 680, 514, 267, 945, 4967, 789, 666, 849, 2569, 9854, 543, 4887, 15319, 1145, 865, 596, 2461, 4712, 547, 2212, 856, 1586, 14182, 269, 6333, 18530, 873, 538, 519, 3819, 518, 585, 513, 8792, 1354, 19703, 547, 2417, 29677, 2476, 519, 6640, 28306, 563, 4407, 519, 3928, 540, 519, 3056, 3123, 540, 2669, 267, 9025, 2068, 267, 2860, 543, 5761, 2068, 267, 616, 2147, 538, 2021, 543, 2367, 267, 2021, 723, 1114, 2833, 269, 25016, 2860, 814, 16765, 2586, 782, 824, 2010, 540, 2860, 607, 519, 3056, 2014, 540, 2860, 2669, 538, 2021, 267, 4553, 676, 6089, 2860, 267, 897, 28030, 267, 25073, 267, 29897, 543, 17818, 11871, 269, 2755, 7296, 568, 519, 2101, 2014, 540, 5761, 2860, 267, 10838, 20060, 332, 3183, 2021, 519, 1981, 540, 3384, 2860, 568, 1614, 2053, 3152, 982, 10838, 20060, 332, 3183, 2367, 269, 6736, 713, 267, 6089, 2860, 3788, 519, 1455, 652, 2860, 538, 2021, 538, 2919, 2477, 267, 543, 568, 835, 540, 519, 811, 1271, 5312, 3676, 540, 2021, 267, 1247, 17818, 2860, 3788, 835, 540, 519, 1455, 652, 11871, 538, 3384, 2477, 267, 2404, 609, 1480, 13099, 650, 5448, 3644, 630, 295, 11901, 1070, 606, 1271, 16770, 10299, 2068, 269, 19690, 6669, 1927, 609, 9584, 3091, 519, 9153, 540, 9013, 891, 3676, 269, 4033, 1271, 1072, 2152, 585, 2021, 1331, 9025, 2068, 267, 4965, 267, 12110, 267, 21404, 543, 17350, 269, 589, 2101, 15641, 2939, 547, 14027, 2021, 781, 1072, 814, 1044, 741, 896, 10517, 19948, 538, 1382, 2090, 267, 606, 6528, 640, 1373, 9619, 538, 519, 2136, 2276, 543, 824, 7262, 6082, 676, 519, 10661, 540, 7740, 540, 17284, 538, 2021, 781, 1072, 1382, 543, 1804, 4336, 4791, 8062, 971, 607, 519, 6468, 781, 2657, 19541, 563, 306, 5495, 13612, 2464, 281, 4432, 12578, 25306, 267, 12854, 267, 28251, 267, 12314, 7548, 267, 8257, 540, 5253, 3163, 543, 5274, 12594, 267, 2160, 540, 8419, 267, 28150, 525, 6807, 269, 1744, 16336, 645, 269, 1975, 531, 3429, 267, 631, 10955, 267, 11483, 5425, 267, 7548, 267, 2168, 2069, 543, 1072, 282, 543, 12314, 8689, 267, 9098, 6468, 781, 4659, 585, 15557, 267, 6307, 25930, 7773, 5441, 853, 13550, 517, 267, 28446, 269, 1977, 10791, 2045, 5948, 1357, 3135, 269, 4659, 540, 6925, 693, 519, 2817, 6298, 12562, 1357, 3135, 563, 10673, 1405, 1491, 10565, 3268, 4805, 269, 1411, 991, 547, 960, 5702, 609, 606, 4810, 1072, 1416, 3318, 547, 6336, 2597, 267, 3226, 952, 596, 723, 824, 2564, 2042, 267, 1544, 547, 6336, 811, 982, 476, 1428, 547, 476, 736, 6550, 610, 1491, 6646, 593, 513, 2834, 4493, 269, 1323, 3355, 2638, 1575, 666, 2697, 2175, 602, 1522, 581, 4299, 676, 2732, 532, 543, 2597, 2530, 269, 5269, 2386, 596, 1265, 856, 875, 1454, 1995, 707, 1072, 1416, 3318, 814, 7231, 609, 6484, 269, 898, 781, 711, 2141, 1134, 4988, 538, 2564, 3506, 269, 1411, 949, 1616, 547, 2911, 547, 513, 10805, 2732, 23790, 1354, 25054, 593, 513, 2732, 563, 1103, 1840, 547, 2669, 9648, 538, 6379, 543, 27638, 267, 6379, 666, 1267, 538, 1082, 1875, 1922, 7614, 1072, 2042, 1519, 6188, 564, 3740, 31329, 27909, 267, 28341, 8084, 6379, 267, 840, 3410, 4074, 267, 29556, 3987, 267, 3834, 699, 6996, 529, 28040, 573, 30946, 267, 29998, 2400, 2829, 1519, 840, 324, 743, 10102, 807, 267, 543, 17350, 269, 3794, 984, 958, 267, 8374, 540, 6379, 27723, 856, 3118, 14774, 7972, 267, 609, 606, 6059, 476, 280, 269, 276, 2929, 2665, 540, 6379, 5829, 4576, 543, 476, 272, 269, 275, 2929, 2282, 2173, 1170, 525, 630, 31162, 341, 2526, 689, 4049, 1272, 18446, 8374, 1040, 1290, 4124, 540, 6379, 949, 581, 2168, 267, 2790, 267, 2804, 543, 1514, 269, 898, 568, 6059, 602, 476, 1015, 1700, 736, 2929, 2021, 786, 1020, 2168, 610, 2790, 9659, 1169, 1032, 267, 4611, 689, 8374, 540, 6379, 610, 16283, 1416, 269, 9182, 267, 3486, 8041, 723, 2919, 4441, 585, 6188, 13011, 1416, 563, 309, 2723, 775, 1996, 2021, 949, 1491, 1082, 3029, 267, 1519, 2168, 267, 4638, 267, 3929, 543, 5626, 543, 949, 2049, 2429, 519, 1272, 2275, 6847, 269, 23305, 5208, 949, 581, 11251, 538, 9086, 610, 3609, 267, 610, 581, 9836, 3765, 690, 2106, 344, 676, 14540, 1996, 2516, 540, 2021, 269, 3131, 7065, 21116, 540, 2123, 5208, 1331, 1533, 11051, 267, 21046, 267, 29872, 1734, 267, 14077, 543, 15982, 4891, 543, 28107, 3294, 2066, 513, 8552, 689, 7130, 267, 998, 18275, 267, 4638, 14213, 543, 22149, 267, 543, 2168, 2800, 547, 12638, 630, 325, 2438, 728, 1040, 898, 949, 849, 1331, 2686, 2853, 971, 607, 4775, 19058, 5969, 563, 13528, 534, 267, 6424, 282, 632, 6742, 601, 267, 21965, 282, 700, 864, 344, 267, 8176, 808, 5919, 1924, 518, 329, 558, 20345, 600, 267, 1772, 8475, 548, 282, 700, 677, 564, 6874, 773, 12040, 267, 11835, 2335, 773, 282, 19839, 328, 267, 5487, 807, 282, 966, 793, 520, 267, 7603, 727, 282, 12113, 26792, 267, 10496, 13196, 282, 645, 2001, 267, 12049, 23135, 282, 1773, 28026, 267, 6742, 2106, 282, 25845, 14024, 267, 8125, 16129, 630, 21776, 476, 1001, 273, 1040, 834, 17471, 645, 6324, 523, 540, 5274, 14466, 650, 558, 8785, 543, 13565, 15302, 2668, 28404, 269, 476, 1789, 281, 674, 1321, 1700, 293, 2537, 269, 8222, 281, 1015, 269, 6200, 277, 10768, 18192, 3147, 710, 269, 1001, 273, 269, 5881, 269, 271, 4649, 269, 20163, 476, 23211, 15886, 4649, 563, 26322, 7740, 20875, 30400, 11865, 267, 20875, 1072, 1416, 13345, 267, 20875, 1702, 827, 674, 303, 267, 20875, 270, 10998, 946, 540, 674, 303, 20875, 30400, 11865, 267, 20875, 1072, 1416, 13345, 267, 20875, 1702, 827, 674, 303, 267, 20875, 270, 10998, 946, 540, 674, 303, 20875, 1702, 827, 9422, 2115, 267, 20875, 30400, 11865, 267, 7602, 497, 270, 10998, 14774, 9019, 267, 7602, 497, 8934, 527, 8598, 267, 20875, 1072, 1416, 13345, 267, 20875, 6413, 5838, 625, 267, 20875, 1702, 827, 674, 303, 267, 20875, 270, 10998, 946, 540, 674, 303, 267, 20875, 590, 2316, 4152, 454, 301, 9173, 568, 3226, 1271, 1282, 6379, 547, 2327, 707, 1072, 543, 519, 1072, 540, 519, 4816, 269, 898, 781, 3339, 547, 2744, 2597, 1282, 6379, 1765, 2254, 1175, 1317, 540, 519, 3395, 21565, 267, 855, 1317, 596, 3513, 991, 6740, 3170, 585, 6089, 1922, 29623, 269, 634, 4659, 540, 6925, 630, 296, 6865, 264, 15565, 513, 2744, 540, 476, 1839, 547, 476, 3374, 6550, 538, 2021, 540, 3339, 2597, 950, 789, 1205, 9176, 282, 476, 2764, 547, 476, 2412, 6550, 538, 896, 7076, 2021, 282, 543, 693, 2547, 476, 1428, 6550, 538, 2021, 945, 616, 14968, 950, 789, 1205, 9176, 269, 634, 594, 6865, 814, 711, 2016, 513, 16252, 585, 606, 5580, 3970, 585, 17324, 2021, 267, 855, 930, 4966, 1698, 621, 607, 1970, 607, 476, 1724, 6550, 269, 1403, 596, 3514, 883, 713, 7121, 267, 1865, 875, 1454, 2597, 596, 1058, 2744, 609, 707, 1072, 1416, 3318, 563, 1103, 1840, 547, 5466, 4008, 6528, 640, 538, 1382, 267, 513, 1297, 540, 2477, 723, 1500, 2021, 781, 1072, 519, 1641, 540, 3084, 7341, 269, 1280, 3236, 538, 476, 1960, 272, 538, 519, 2136, 2276, 267, 519, 4972, 540, 2657, 543, 5274, 7896, 3964, 606, 8433, 593, 6468, 781, 2657, 630, 8582, 295, 264, 609, 519, 3804, 540, 5355, 519, 1072, 540, 2021, 538, 3013, 267, 998, 25640, 519, 2021, 781, 1072, 16786, 2429, 519, 4972, 267, 543, 824, 8041, 269, 769, 519, 8938, 1101, 2540, 519, 8433, 814, 1445, 338, 539, 593, 9207, 969, 5367, 2021, 269, 4746, 267, 538, 476, 1960, 275, 519, 15544, 585, 8376, 6513, 543, 10644, 630, 24922, 264, 3964, 922, 1378, 8433, 540, 6468, 781, 2657, 630, 8582, 295, 1070, 799, 729, 18005, 2278, 2213, 676, 519, 476, 1001, 271, 32285, 2657, 5516, 2920, 630, 3722, 288, 1916, 763, 4589, 685, 7418, 941, 607, 5205, 1765, 23852, 543, 7131, 281, 941, 3238, 538, 519, 11601, 540, 519, 1239, 282, 20700, 293, 267, 7131, 267, 590, 13270, 267, 543, 808, 293, 281, 941, 3743, 585, 519, 7664, 540, 519, 1239, 282, 20700, 293, 281, 5206, 519, 1957, 543, 1185, 3119, 5539, 585, 519, 1543, 282, 7131, 267, 590, 13270, 267, 654, 306, 267, 543, 808, 293, 281, 941, 3238, 538, 3246, 2143, 8292, 543, 2847, 2358, 519, 12377, 585, 1271, 7214, 1543, 282, 543, 782, 4589, 281, 941, 3238, 538, 519, 17748, 540, 713, 2689, 543, 1224, 543, 9516, 519, 3803, 12377, 563, 309, 2723, 775, 729, 10294, 513, 2518, 1072, 10862, 676, 519, 14959, 693, 922, 10198, 538, 476, 1960, 277, 267, 5373, 593, 1312, 519, 2136, 8315, 16672, 593, 519, 17594, 540, 5208, 1996, 2021, 630, 1960, 274, 264, 543, 519, 7840, 540, 1312, 519, 4139, 10985, 593, 15510, 543, 4886, 630, 290, 23879, 267, 476, 1960, 275, 264, 543, 519, 19549, 2622, 10985, 593, 6468, 630, 6826, 18268, 267, 476, 1960, 276, 264, 901, 729, 4553, 676, 922, 476, 1220, 273, 2622, 7797, 593, 20222, 543, 2657, 267, 799, 1445, 4513, 593, 15982, 7649, 543, 4638, 5208, 269, 11531, 267, 519, 6167, 11251, 891, 538, 606, 2962, 1544, 950, 922, 4937, 13909, 5293, 519, 7085, 3317, 1756, 16672, 538, 5181, 476, 1220, 271, 267, 799, 17251, 954, 620, 807, 834, 1729, 8396, 782, 3029, 540, 5208, 1996, 2021, 543, 547, 2936, 519, 13482, 593, 519, 26332, 1588, 540, 2353, 22553, 540, 26521, 1996, 6468, 2668, 2290, 540, 519, 7085, 3317, 1756, 17644, 630, 13270, 294, 476, 274, 264, 729, 519, 13319, 540, 4008, 7862, 543, 519, 16882, 540, 2021, 267, 799, 8179, 547, 9004, 782, 3029, 540, 5208, 1996, 2021, 607, 1134, 607, 7598, 595, 3633, 288, 310, 269, 901, 18931, 602, 14874, 5208, 267, 1519, 7130, 729, 513, 32563, 547, 8236, 782, 824, 3853, 540, 5355, 2021, 781, 1072, 269, 1717, 621, 729, 2663, 10404, 2213, 585, 711, 1519, 5208, 607, 606, 8763, 3077, 267, 519, 834, 332, 1170, 532, 3077, 2668, 769, 519, 6268, 540, 11022, 294, 476, 274, 267, 5208, 7283, 513, 2101, 11064, 547, 8236, 519, 3853, 269, 769, 519, 24288, 12655, 4886, 17644, 267, 799, 849, 12799, 1592, 519, 1644, 2152, 540, 7130, 267, 1126, 7365, 543, 19058, 5969, 267, 835, 3077, 568, 7396, 607, 834, 292, 3916, 3729, 782, 3029, 540, 5208, 1996, 782, 2021, 543, 6690, 538, 519, 1857, 543, 4357, 21384, 257, 676, 476, 10711, 271, 563, 2791, 666, 1205, 7513, 689, 10683, 2472, 899, 5144, 267, 18506, 543, 10381, 267, 27574, 3165, 609, 2571, 7633, 630, 338, 731, 1149, 267, 12979, 990, 625, 543, 13687, 282, 7633, 1590, 581, 10057, 547, 1205, 519, 4324, 540, 7513, 1070, 4158, 25984, 21364, 5388, 630, 7945, 607, 25989, 267, 28401, 16719, 543, 2490, 760, 16719, 264, 543, 1256, 31949, 630, 604, 621, 781, 9268, 609, 7513, 23253, 1040, 2368, 3536, 616, 7513, 1922, 677, 1881, 282, 602, 568, 267, 789, 2270, 3606, 7513, 269, 6201, 1331, 10538, 10433, 267, 1978, 24799, 267, 13386, 5144, 543, 824, 14254, 3536, 269, 13185, 547, 707, 1072, 1416, 3318, 827, 2436, 596, 1058, 1491, 7513, 9360, 952, 596, 1810, 1405, 1589, 596, 2811, 3478, 2614, 7513, 689, 1426, 2959, 563, 16248, 1644, 9072, 540, 11022, 294, 276, 941, 15730, 4332, 2557, 267, 15333, 21082, 9860, 543, 796, 5471, 991, 585, 1920, 4058, 630, 3602, 9860, 266, 684, 5471, 991, 815, 2698, 991, 1070, 799, 941, 16913, 676, 519, 15510, 10406, 540, 519, 6167, 4972, 540, 9483, 543, 4317, 16457, 269, 2552, 571, 21082, 946, 729, 851, 540, 25779, 476, 276, 289, 630, 684, 1392, 531, 1569, 547, 10285, 1072, 1070, 607, 25824, 1807, 476, 276, 269, 274, 269, 634, 6268, 540, 11022, 294, 276, 538, 476, 1001, 276, 4951, 602, 10838, 15185, 6165, 1185, 2799, 5001, 689, 476, 4649, 260, 547, 476, 5038, 10065, 609, 835, 540, 519, 4102, 4679, 538, 4427, 338, 24532, 4000, 630, 1724, 547, 476, 2764, 22103, 634, 1351, 3326, 776, 267, 796, 5471, 991, 267, 17379, 5594, 5001, 630, 1428, 547, 476, 1321, 22103, 769, 476, 1001, 276, 891, 9072, 2968, 851, 540, 12676, 294, 276, 630, 14054, 7862, 543, 16882, 264, 896, 27010, 476, 276, 269, 277, 281, 3550, 8471, 1569, 547, 4638, 543, 10285, 1072, 543, 10285, 2924, 267, 1141, 25824, 1807, 476, 276, 269, 277, 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 ]
[ 0, 12552, 547, 519, 744, 32342, 14583, 267, 5046, 268, 866, 568, 1818, 513, 2101, 32134, 269, 9182, 4213, 543, 2777, 6868, 7567, 616, 3168, 585, 519, 1655, 2994, 547, 8396, 713, 10770, 3644, 563, 3080, 540, 891, 2994, 568, 519, 946, 540, 16777, 5183, 2011, 1625, 13294, 563, 1103, 1489, 540, 713, 267, 513, 2487, 1353, 676, 519, 15544, 585, 8376, 6513, 543, 10644, 630, 24922, 264, 4951, 602, 910, 538, 1840, 547, 13968, 267, 1514, 26865, 267, 7254, 4345, 619, 543, 14910, 910, 16777, 5183, 2011, 1625, 13294, 3648, 2569, 5046, 268, 866, 6771, 563, 4913, 267, 972, 616, 1082, 26558, 1176, 14475, 2011, 1625, 13294, 4867, 14700, 519, 2344, 269, 1703, 2421, 16550, 3506, 547, 1831, 19288, 4966, 267, 9583, 16074, 563, 2026, 513, 1267, 267, 1625, 13294, 723, 1044, 12349, 602, 267, 693, 741, 1655, 267, 616, 23696, 267, 855, 693, 741, 8338, 789, 723, 1044, 1336, 547, 3132, 5739, 676, 1790, 20094, 563, 1692, 568, 5046, 268, 866, 3262, 888, 21607, 3274, 267, 5046, 268, 866, 568, 23197, 267, 543, 568, 5097, 3262, 1063, 1004, 7244, 538, 1360, 1507, 3644, 25202, 20256, 610, 20851, 11169, 269, 1403, 606, 7783, 1268, 568, 1459, 538, 513, 14605, 5887, 23624, 2230, 267, 519, 1981, 540, 23197, 6771, 568, 2362, 563, 1607, 568, 1317, 5386, 27829, 10936, 689, 606, 7783, 1268, 666, 2611, 21883, 267, 543, 3262, 547, 824, 3755, 540, 519, 2230, 811, 3362, 563, 763, 1981, 540, 6771, 568, 5207, 1141, 972, 568, 606, 16937, 540, 519, 968, 16248, 595, 338, 892, 912, 268, 18844, 4765, 4025, 454, 268, 19171, 3346, 5468, 454, 268, 4762, 1441, 610, 20583, 5624, 454, 1692, 666, 2011, 1625, 13294, 948, 547, 6370, 891, 5046, 268, 866, 10825, 2175, 888, 22137, 2469, 1394, 5756, 723, 1336, 602, 2011, 1625, 13294, 609, 16777, 5183, 12086, 7001, 8290, 269, 2859, 5063, 267, 513, 15509, 1353, 4951, 6405, 2963, 602, 16777, 5183, 2011, 1625, 13294, 2569, 5046, 268, 866, 3262, 1547, 901, 1353, 4951, 16777, 5183, 2011, 1625, 13294, 4389, 5046, 268, 866, 3262, 676, 476, 6078, 18336, 4047, 5183, 12086, 616, 513, 8810, 2029, 267, 543, 723, 1044, 1472, 2094, 519, 476, 3707, 271, 338, 269, 634, 2029, 568, 2241, 910, 14477, 11231, 26939, 593, 513, 1319, 269, 2334, 1797, 16777, 5183, 12086, 616, 10464, 543, 2653, 547, 3132, 563, 17387, 14688, 267, 972, 616, 1100, 5739, 676, 1790, 20094, 610, 6547, 689, 11319, 2011, 998, 16777, 5183, 12086, 269, 1656, 267, 538, 4334, 547, 9357, 9088, 630, 3467, 827, 873, 2663, 1070, 972, 616, 1082, 2090, 25643, 519, 7145, 540, 16777, 5183, 1625, 13294, 538, 9427, 5536, 689, 519, 2011, 563, 4047, 5183, 12086, 666, 7001, 3592, 782, 5536, 454, 6701, 594, 517, 6500, 543, 23520, 821, 5794, 8830, 13294, 15822, 888, 296, 517, 18402, 538, 1880, 2408, 547, 581, 606, 10694, 4781, 1317, 789, 2196, 5266, 23900, 267, 543, 798, 711, 991, 12086, 563, 4913, 267, 1082, 9263, 24595, 3621, 2090, 723, 1336, 602, 9357, 9088, 1711, 5739, 676, 1790, 20094, 267, 971, 607, 17645, 543, 6101, 24957, 269, 9182, 267, 519, 15509, 1281, 711, 4363, 519, 946, 540, 9357, 9088, 610, 17645, 2011, 1625, 13294, 585, 5046, 268, 866, 17846, 563, 302, 29773, 18402, 616, 1256, 4443, 547, 2491, 281, 789, 3132, 17645, 2047, 267, 543, 621, 568, 1134, 1634, 602, 17645, 28746, 3425, 267, 10130, 267, 2371, 267, 543, 1256, 3615, 267, 971, 607, 23541, 593, 5122, 12904, 563, 21607, 3274, 267, 2057, 1625, 13294, 602, 946, 9357, 9088, 610, 17645, 18402, 269, 1452, 1039, 268, 976, 2333, 1942, 267, 543, 949, 2965, 10460, 513, 1072, 1981, 563, 6701, 6481, 6103, 5794, 8830, 13294, 3026, 10354, 888, 5591, 269, 570, 5281, 856, 267, 2564, 3446, 2011, 1625, 13294, 616, 811, 1419, 982, 711, 513, 6725, 575, 9404, 1157, 563, 763, 1655, 1826, 540, 2011, 1625, 8595, 585, 3506, 547, 946, 547, 568, 513, 16777, 5183, 6882, 2011, 1625, 8595, 269, 16777, 5183, 6882, 2011, 1625, 13294, 616, 3810, 2500, 693, 19003, 856, 5536, 602, 616, 1256, 4130, 982, 5046, 268, 866, 563, 1692, 547, 960, 856, 519, 2450, 540, 519, 5794, 8830, 8595, 2877, 563, 3721, 476, 272, 281, 12763, 12025, 630, 24127, 264, 540, 18740, 454, 6524, 7446, 606, 2011, 1625, 8595, 585, 707, 4055, 267, 649, 991, 547, 917, 875, 1454, 2011, 519, 1625, 8595, 2115, 547, 2973, 563, 5575, 267, 2268, 519, 1858, 540, 519, 4055, 6989, 538, 4009, 15432, 269, 8921, 267, 9062, 713, 1297, 676, 519, 4463, 540, 519, 4055, 547, 1205, 519, 2698, 4320, 563, 7078, 281, 476, 280, 269, 272, 27331, 264, 676, 476, 280, 269, 272, 263, 310, 264, 25451, 4055, 609, 476, 273, 269, 278, 25451, 1164, 2781, 559, 902, 815, 476, 280, 269, 272, 1535, 476, 280, 269, 272, 1535, 476, 273, 269, 278, 284, 23417, 7750, 539, 15432, 563, 3721, 476, 273, 281, 12433, 519, 21957, 305, 10261, 539, 547, 11162, 519, 18740, 454, 9202, 267, 649, 991, 547, 5173, 875, 1454, 968, 12741, 892, 568, 2877, 689, 606, 2011, 1625, 8595, 547, 2973, 519, 4320, 540, 2011, 7229, 538, 1900, 476, 272, 563, 763, 2179, 540, 2011, 606, 2011, 1625, 8595, 568, 2111, 547, 2973, 568, 2016, 676, 922, 21957, 305, 630, 27662, 5794, 24822, 28951, 1040, 634, 2362, 513, 21957, 305, 267, 519, 811, 2011, 519, 2011, 1625, 8595, 666, 2973, 829, 5662, 563, 2414, 798, 713, 267, 649, 1101, 991, 547, 9062, 519, 4320, 540, 519, 4055, 676, 476, 276, 269, 634, 1297, 1310, 14921, 519, 4320, 540, 519, 4055, 630, 514, 15432, 7750, 539, 264, 676, 476, 276, 568, 519, 21957, 305, 2877, 630, 31957, 545, 15432, 829, 5662, 264, 689, 513, 1625, 8595, 547, 2973, 519, 4055, 563, 763, 2601, 649, 9062, 676, 476, 276, 568, 4213, 270, 5264, 9302, 1058, 2832, 547, 723, 782, 519, 2011, 538, 513, 4055, 19345, 543, 8719, 609, 1007, 2011, 693, 2547, 476, 276, 2053, 829, 5662, 269, 4475, 267, 649, 991, 547, 1265, 606, 2011, 1625, 8595, 602, 568, 3532, 2614, 547, 2973, 713, 1454, 2011, 563, 7078, 281, 476, 23417, 7750, 539, 15432, 1535, 476, 276, 815, 476, 9340, 276, 269, 4475, 267, 519, 21957, 305, 540, 519, 1625, 8595, 2877, 585, 519, 4055, 1058, 581, 693, 2547, 476, 9340, 276, 544, 274, 10774, 337, 563, 3721, 476, 274, 281, 4855, 16777, 5183, 5794, 8830, 8595, 4433, 264, 609, 513, 21957, 305, 693, 610, 26361, 7089, 6726, 730, 538, 5153, 476, 273, 454, 21020, 305, 16863, 616, 2016, 538, 1079, 7403, 267, 2901, 12945, 7397, 829, 5662, 630, 13967, 295, 264, 610, 12945, 3952, 829, 8792, 630, 20003, 300, 1040, 634, 21957, 305, 2877, 585, 519, 4055, 7229, 1657, 568, 538, 12945, 7397, 829, 5662, 630, 13967, 295, 1916, 9616, 281, 1403, 1152, 519, 18435, 300, 568, 2016, 267, 713, 666, 581, 10736, 547, 18328, 295, 676, 14921, 621, 676, 476, 272, 269, 278, 563, 763, 21957, 305, 540, 3532, 2011, 1625, 13294, 3335, 9832, 689, 476, 4335, 268, 12010, 544, 274, 10774, 712, 563, 2252, 519, 21957, 305, 2877, 568, 936, 713, 1297, 267, 2789, 2011, 1625, 13294, 949, 581, 2877, 563, 2690, 3236, 267, 835, 2349, 770, 2011, 1625, 8595, 609, 21957, 305, 540, 476, 279, 3445, 544, 274, 10774, 337, 1131, 1205, 2673, 547, 713, 476, 9340, 276, 544, 274, 10774, 337, 1297, 269, 17006, 606, 3606, 4130, 2011, 1625, 8595, 547, 519, 4055, 971, 607, 519, 590, 336, 1515, 1131, 1205, 519, 2698, 2011, 1625, 8595, 21957, 305, 547, 936, 519, 476, 9340, 276, 544, 274, 10774, 337, 1297, 563, 3721, 476, 275, 281, 6333, 30433, 5426, 540, 519, 5794, 8830, 13294, 454, 6624, 2011, 1625, 13294, 666, 1205, 10978, 593, 1164, 5468, 269, 898, 568, 1271, 547, 723, 606, 2011, 1625, 8595, 538, 519, 4055, 267, 971, 607, 606, 5604, 610, 513, 21514, 978, 3266, 558, 267, 602, 568, 711, 513, 19717, 269, 1411, 666, 1265, 875, 10978, 606, 2011, 1625, 8595, 568, 676, 10992, 922, 6846, 1377, 6027, 538, 28108, 269, 32506, 936, 476, 2568, 323, 289, 786, 1360, 2693, 581, 513, 19717, 563, 22818, 519, 7887, 2110, 5765, 540, 21957, 305, 4255, 568, 602, 789, 616, 2196, 593, 519, 1625, 8595, 781, 5207, 4259, 1152, 269, 634, 1966, 568, 602, 1082, 1625, 13294, 616, 865, 10978, 593, 1164, 602, 789, 3112, 581, 2196, 593, 741, 5207, 4259, 563, 19013, 267, 713, 10996, 643, 2478, 1625, 8595, 3549, 547, 1118, 513, 3810, 2500, 267, 855, 849, 3810, 26776, 1283, 4259, 267, 799, 789, 1287, 14441, 269, 769, 2259, 267, 1082, 1004, 786, 1265, 519, 5207, 4259, 1932, 26776, 543, 3079, 2196, 621, 538, 513, 2539, 4259, 563, 13014, 2386, 547, 2638, 519, 2011, 1625, 8595, 779, 6846, 1377, 593, 1164, 267, 607, 930, 2011, 1625, 8595, 2754, 779, 2344, 6846, 2157, 593, 2539, 5468, 267, 799, 568, 22801, 563, 27319, 5794, 8830, 13294, 454, 27319, 5794, 8830, 13294, 616, 593, 513, 1360, 2110, 1592, 540, 5227, 2011, 1625, 13294, 676, 11162, 21080, 12140, 267, 945, 960, 609, 3744, 689, 6167, 14684, 547, 6895, 543, 1732, 1174, 519, 2298, 540, 519, 2011, 602, 938, 1453, 2661, 267, 1451, 267, 543, 1404, 538, 563, 27319, 5794, 568, 513, 1514, 13055, 8149, 547, 4543, 1004, 13236, 2973, 2011, 563, 1432, 779, 1434, 585, 513, 1153, 267, 1590, 581, 1434, 585, 707, 5604, 267, 23999, 267, 13186, 610, 1753, 2336, 27319, 5794, 1625, 8595, 779, 16777, 5183, 12086, 7001, 1082, 2010, 540, 28634, 2011, 5533, 267, 1519, 20543, 607, 1507, 607, 476, 276, 6289, 2210, 637, 630, 272, 270, 1015, 628, 519, 2450, 540, 5046, 268, 866, 264, 547, 476, 1789, 32755, 630, 1492, 2450, 540, 14947, 1040, 634, 2898, 2039, 2882, 8290, 267, 4551, 267, 6751, 273, 269, 276, 267, 6751, 1015, 267, 4620, 23480, 267, 7452, 267, 543, 9044, 563, 2304, 3606, 15181, 3327, 6882, 666, 581, 3773, 593, 1283, 540, 519, 16777, 5183, 6882, 538, 782, 540, 12829, 5794, 779, 2472, 269, 634, 3327, 12086, 666, 10110, 966, 31237, 630, 14157, 8684, 17667, 3281, 2432, 264, 971, 607, 6101, 24957, 267, 5862, 6094, 2996, 267, 19386, 10173, 267, 610, 3819, 7738, 8069, 269, 12539, 12086, 849, 4894, 5212, 2293, 563, 27319, 5794, 779, 17514, 1222, 2011, 1625, 8595, 568, 519, 2349, 770, 267, 606, 4853, 3044, 1625, 8595, 3501, 585, 1804, 5624, 267, 899, 3506, 267, 10506, 543, 13646, 910, 621, 814, 513, 627, 25891, 21957, 305, 540, 476, 279, 3445, 332, 23326, 10774, 256, 898, 568, 849, 4998, 585, 1565, 5054, 267, 1317, 693, 1175, 476, 7906, 323, 289, 621, 568, 835, 540, 519, 9602, 652, 1625, 13294, 593, 519, 2344, 563, 27319, 5794, 779, 3532, 2349, 770, 22387, 2011, 1625, 8595, 568, 513, 1164, 14617, 2943, 11741, 2011, 1625, 8595, 267, 7738, 5624, 909, 547, 476, 5952, 338, 336, 332, 267, 609, 606, 11141, 21957, 305, 540, 476, 276, 5952, 332, 23326, 10774, 563, 7212, 519, 590, 336, 1515, 568, 519, 4130, 23013, 547, 1312, 519, 2349, 770, 543, 2349, 770, 22387, 267, 621, 1869, 24502, 513, 2462, 24362, 267, 1630, 8463, 513, 21957, 305, 540, 476, 25628, 332, 23326, 10774, 269, 901, 2306, 519, 590, 336, 1515, 519, 1158, 779, 1034, 1942, 15807, 2011, 1625, 8595, 269, 4706, 31933, 267, 2413, 1374, 267, 786, 3514, 9985, 538, 707, 5604, 267, 4928, 267, 13186, 610, 1753, 269, 8550, 1354, 814, 2973, 2011, 6743, 865, 1434, 256, 0, 17954, 752, 3905, 11849, 4356, 543, 1118, 3595, 3106, 513, 1283, 10862, 454, 27288, 18394, 3361, 676, 3905, 11849, 21279, 2789, 5321, 563, 306, 3198, 14011, 30264, 267, 715, 8160, 269, 1107, 634, 6052, 267, 30200, 543, 7849, 8249, 4972, 779, 630, 4932, 24520, 291, 264, 32645, 10406, 6499, 547, 7618, 7264, 547, 1118, 3595, 3106, 513, 1283, 10862, 713, 5162, 267, 2523, 950, 8741, 532, 540, 3905, 607, 1127, 610, 1071, 1023, 547, 2061, 23967, 269, 744, 32054, 10980, 5916, 609, 519, 2034, 1032, 540, 513, 3819, 5487, 15281, 29823, 4365, 4806, 568, 513, 2101, 6161, 585, 519, 32645, 10406, 543, 922, 4891, 563, 10527, 2916, 5222, 616, 1713, 269, 634, 5767, 772, 2529, 269, 667, 3754, 18554, 31698, 476, 1911, 2600, 540, 1715, 6792, 568, 538, 10980, 267, 543, 1018, 2370, 4764, 543, 6777, 649, 616, 3478, 713, 5162, 786, 711, 581, 2614, 547, 7485, 721, 856, 2223, 1767, 3557, 5983, 3122, 23718, 5062, 10111, 20321, 269, 968, 763, 2487, 30481, 538, 12548, 602, 10032, 7366, 540, 5321 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 22520, 616, 513, 10770, 1966, 538, 21896, 269, 6554, 5238, 723, 1500, 3356, 538, 7598, 1949, 543, 5773, 547, 1867, 873, 269, 1717, 267, 519, 4485, 8045, 991, 547, 581, 9738, 543, 15568, 269, 901, 1353, 23933, 519, 24536, 585, 519, 2079, 540, 3075, 22520, 538, 824, 30838, 2975, 338, 269, 1284, 5031, 519, 13766, 540, 5466, 3075, 22520, 538, 741, 2518, 2796, 543, 4227, 519, 8635, 538, 1569, 547, 11955, 1063, 2477, 269, 0, 763, 1523, 540, 2724, 849, 11498, 689, 519, 1448, 540, 2070, 540, 6208, 267, 16565, 513, 1871, 602, 4422, 3564, 519, 2804, 835, 281, 538, 519, 2013, 540, 519, 7969, 561, 4275, 267, 538, 1249, 267, 519, 19911, 531, 11551, 1379, 540, 519, 2025, 9304, 568, 1869, 9800, 543, 829, 1061, 1043, 267, 2523, 676, 1346, 945, 723, 1185, 519, 7872, 540, 1210, 2025, 11113, 543, 4871, 17084, 267, 8719, 2094, 476, 1220, 273, 676, 519, 20789, 269, 634, 561, 4275, 814, 1185, 513, 4956, 569, 1279, 968, 3249, 518, 892, 543, 814, 8854, 998, 513, 1279, 2796, 602, 814, 18005, 4957, 519, 3068, 540, 519, 2197, 269, 634, 561, 4275, 729, 538, 1249, 22885, 607, 513, 13075, 9304, 693, 519, 4098, 540, 519, 476, 866, 628, 2540, 267, 896, 519, 3943, 13567, 540, 19167, 594, 267, 538, 519, 2127, 540, 519, 2197, 7222, 547, 519, 2127, 22482, 1282, 519, 7969, 5859, 269, 898, 729, 7620, 1031, 676, 519, 840, 10595, 3202, 25267, 543, 729, 13604, 7550, 676, 519, 8003, 540, 7977, 799, 19618, 519, 2197, 538, 476, 5908, 272, 267, 7587, 5024, 519, 7969, 9304, 2394, 476, 1220, 273, 269, 2368, 2152, 971, 607, 519, 476, 1015, 561, 790, 2423, 723, 1831, 851, 540, 519, 1455, 9345, 563, 4322, 476, 1015, 561, 790, 609, 519, 1274, 786, 1118, 596, 3638, 281, 713, 568, 519, 1871, 454, 3719, 1018, 616, 789, 4502, 286, 898, 568, 835, 540, 519, 1034, 7839, 11113, 2429, 519, 2034, 3368, 540, 519, 2063, 2540, 267, 607, 621, 568, 835, 540, 519, 13074, 24331, 2152, 2479, 269, 634, 476, 1015, 561, 790, 1975, 27004, 729, 513, 7839, 11777, 689, 476, 4198, 272, 547, 476, 1220, 271, 267, 20511, 539, 538, 3592, 476, 273, 5479, 4559, 269, 898, 3788, 606, 1271, 3390, 585, 1169, 21689, 267, 543, 930, 15013, 616, 3226, 19311, 267, 971, 607, 1346, 540, 476, 4198, 275, 267, 799, 952, 538, 674, 1640, 1019, 1230, 1470, 2175, 666, 581, 4502, 811, 982, 476, 1911, 20789, 338, 267, 855, 519, 29925, 968, 322, 3326, 22663, 892, 547, 476, 736, 268, 1789, 20789, 338, 952, 538, 968, 21671, 892, 2175, 269, 5140, 563, 5194, 1383, 1454, 8179, 1310, 676, 19216, 568, 851, 540, 513, 1507, 5858, 540, 11113, 1500, 538, 476, 1960, 272, 267, 25992, 676, 606, 6654, 20511, 532, 5470, 281, 519, 9258, 540, 519, 11777, 267, 538, 1249, 267, 799, 814, 513, 17535, 25229, 1457, 267, 568, 538, 1249, 20328, 267, 6587, 547, 519, 1073, 2091, 267, 1141, 789, 1291, 269, 519, 1975, 10105, 267, 799, 2285, 519, 11777, 922, 2012, 563, 4322, 1880, 5434, 538, 1249, 723, 513, 1871, 1063, 476, 1789, 543, 476, 5611, 20789, 338, 269, 0, 7312, 1747, 538, 519, 17807, 593, 4864, 476, 6187, 267, 476, 5002, 271, 454, 2171, 616, 10583, 547, 3142, 596, 519, 1034, 4190, 543, 4977, 4786, 540, 519, 6801, 593, 707, 1554, 454, 4785, 4266, 3898, 281, 476, 279, 270, 277, 270, 5002, 271, 267, 5177, 4266, 3898, 281, 476, 277, 270, 279, 270, 5002, 271, 454, 2171, 4312, 5340, 519, 1034, 538, 3829, 1382, 2009, 593, 4864, 476, 277, 267, 476, 5002, 271, 267, 1934, 781, 1018, 938, 4966, 1336, 856, 912, 527, 729, 11728, 267, 896, 519, 1129, 540, 24955, 630, 5408, 1990, 31821, 543, 9855, 6178, 593, 4864, 476, 277, 267, 476, 5002, 271, 1040, 634, 2475, 7022, 729, 5261, 21025, 514, 2917, 630, 11847, 3016, 534, 1070, 519, 5177, 11788, 10579, 729, 7917, 717, 2444, 1195, 928, 4211, 1815, 559, 630, 8256, 969, 894, 1070, 15352, 24955, 2473, 7656, 729, 3056, 519, 7826, 5783, 563, 293, 13904, 1004, 4535, 593, 713, 1554, 1331, 595, 1815, 559, 5682, 4586, 763, 7831, 17963, 540, 25048, 701, 4512, 267, 9859, 676, 29527, 645, 269, 5576, 334, 2644, 871, 267, 729, 835, 540, 519, 1034, 9763, 7260, 5950, 538, 476, 5002, 271, 454, 3719, 1454, 811, 5949, 602, 1554, 281, 1265, 856, 2630, 10756, 7617, 941, 519, 1271, 2621, 540, 4864, 476, 6187, 267, 476, 5002, 271, 888, 12626, 12677, 2520, 19398, 545, 626, 543, 2483, 23389, 19784, 543, 22267, 630, 323, 19601, 4002, 4864, 476, 6187, 267, 476, 5002, 271, 519, 1554, 540, 519, 3018, 729, 11728, 563, 4002, 4864, 476, 6187, 267, 476, 5002, 271, 519, 1990, 31821, 1129, 729, 24955, 563, 4002, 4864, 476, 6187, 267, 476, 5002, 271, 519, 2475, 5518, 729, 5261, 21025, 514, 2917, 630, 11847, 3016, 534, 1916, 4002, 4864, 476, 6187, 267, 476, 5002, 271, 519, 5177, 11788, 10579, 729, 7917, 717, 2444, 1195, 928, 4211, 1815, 559, 630, 8256, 969, 894, 1916, 4002, 4864, 476, 6187, 267, 476, 5002, 271, 15352, 24955, 2473, 7656, 729, 3056, 519, 7826, 5783, 563, 4002, 4864, 476, 6187, 267, 476, 5002, 271, 1896, 4583, 1004, 941, 4535, 1519, 267, 595, 1815, 559, 5682, 563, 293, 13904, 1004, 5747, 593, 4864, 476, 6187, 267, 476, 5002, 271, 1331, 267, 30247, 17389, 321, 330, 928, 19816, 269, 0, 2710, 3733, 4828, 2336, 2710, 711, 3653, 942, 269, 5192, 513, 2347, 1957, 2221, 563, 5978, 3056, 2688, 1603, 3028, 2488, 2688, 2854, 4574, 538, 476, 3199, 266, 10459, 269, 11352, 3594, 267, 1382, 4574, 267, 2165, 4574, 267, 1433, 8039, 267, 10467, 267, 12031, 267, 5098, 610, 3573, 4744, 31277, 1299, 938, 4274, 13673, 299, 5830, 786, 3362, 5965, 513, 1957, 2687, 547, 707, 4170, 563, 2791, 3580, 1205, 707, 1164, 2298, 17096, 6954, 1957, 2687, 547, 707, 21120, 256, 3143, 18409, 3333, 527, 256, 2336, 307, 8084, 281, 1103, 519, 1101, 11000, 267, 649, 5941, 519, 1739, 10839, 676, 3627, 4563, 532, 281, 10214, 952, 513, 1268, 6257, 7574, 2833, 538, 519, 2930, 1893, 540, 2575, 267, 646, 568, 1102, 716, 10503, 3929, 2833, 799, 646, 814, 4121, 547, 12314, 609, 1880, 16443, 673, 4992, 16638, 519, 15795, 11000, 267, 649, 14059, 1079, 4773, 540, 2575, 676, 1101, 6947, 547, 873, 543, 9188, 21564, 26132, 7574, 2934, 543, 938, 3929, 3210, 547, 873, 269, 1284, 1287, 5941, 519, 935, 3667, 540, 28205, 1079, 4773, 543, 875, 713, 4299, 543, 4957, 938, 5114, 547, 891, 4773, 269, 7312, 7084, 568, 547, 3442, 835, 7574, 5888, 602, 568, 711, 593, 519, 1576, 6947, 1592, 663, 547, 1935, 707, 7634, 540, 713, 4062, 538, 519, 1482, 6073, 607, 649, 1705, 538, 17976, 476, 277, 7868, 5888, 1590, 2097, 689, 513, 5375, 2575, 2245, 543, 666, 581, 538, 1022, 9135, 263, 12218, 673, 476, 272, 2073, 476, 272, 12563, 267, 4224, 267, 15690, 267, 1402, 267, 3092, 269, 476, 273, 15426, 769, 519, 1101, 851, 540, 713, 7084, 596, 786, 2277, 1168, 1002, 596, 5873, 1210, 519, 2930, 1893, 602, 596, 723, 4121, 538, 713, 1576, 269, 1215, 798, 519, 23855, 673, 2934, 540, 707, 6074, 4062, 1831, 606, 3929, 1995, 585, 596, 607, 513, 26575, 286, 2791, 786, 1287, 1382, 519, 5888, 543, 3605, 8726, 596, 666, 827, 519, 2796, 538, 6518, 519, 4062, 729, 7768, 269, 1548, 5888, 531, 2553, 941, 1031, 547, 1711, 713, 4062, 1993, 2575, 543, 1018, 1522, 519, 21917, 723, 4941, 547, 5968, 286, 1215, 1281, 519, 2796, 514, 799, 519, 4062, 729, 2854, 2285, 2495, 547, 519, 2575, 543, 1860, 610, 1689, 707, 5114, 1729, 602, 4062, 540, 2575, 286, 9603, 547, 519, 2470, 540, 713, 7084, 267, 5225, 1745, 1863, 547, 2328, 596, 816, 599, 1210, 519, 1101, 1268, 2239, 1106, 269, 21980, 3894, 281, 16186, 281, 476, 8099, 271, 547, 476, 6344, 271, 1913, 2026, 513, 4358, 1448, 267, 581, 2386, 547, 24559, 3054, 609, 519, 5888, 676, 6947, 547, 621, 269, 1411, 15884, 991, 547, 6338, 519, 4062, 602, 596, 723, 5697, 1210, 519, 2930, 1893, 602, 596, 17647, 9715, 689, 1362, 543, 1683, 707, 3355, 5114, 547, 621, 282, 596, 786, 1287, 1683, 606, 30161, 10698, 540, 875, 707, 1702, 540, 519, 3140, 543, 2686, 2796, 5540, 707, 5114, 1729, 519, 5888, 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 ]
[ 6851, 11764, 3799, 13246, 267, 3077, 4917, 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 12163, 31176, 495, 418, 490, 485, 20644, 476, 6812, 910, 4083, 269, 13127, 371, 355, 20721, 489, 420, 377, 361, 21211, 31033, 4970, 366, 454, 21211, 31033, 4970, 366, 7511, 26266, 355, 20721, 489, 420, 377, 361, 418, 497, 491, 30853, 15159, 418, 488, 488, 21211, 31033, 4970, 366, 31176, 491, 30837, 351, 7511, 420, 489, 354, 23946, 366, 14748, 21211, 31033, 420, 377, 361, 26175, 375, 28996, 21211, 31033, 4970, 366, 7511, 16533, 378, 421, 481, 357, 12486, 13644, 371, 27936, 18263, 487, 22047, 16583, 30936, 14395, 508, 27064, 364, 21211, 31033, 4970, 366, 26266, 355, 20721, 489, 420, 377, 361, 418, 497, 491, 30853, 7511, 20693, 509, 420, 25693, 12486, 30006, 498, 417, 28187, 8147, 27447, 24662, 21211, 31033, 4970, 366, 257, 29582, 3698, 326, 257, 25520, 12255, 21211, 273, 8147, 13644, 354, 16583, 30936, 16533, 484, 13213, 498, 18713, 508, 26266, 355, 20721, 489, 420, 377, 361, 4970, 353, 12916, 491, 23523, 501, 28996, 7511, 14756, 497, 31563, 257, 322, 3698, 326, 629, 257, 12486, 692, 419, 353, 374, 28032, 489, 476, 272, 16088, 692, 27447, 24662, 281, 521, 815, 834, 29582, 3698, 326, 2580, 737, 815, 476, 273, 454, 27447, 24731, 281, 1109, 257, 322, 3698, 326, 629, 4840, 419, 353, 374, 28032, 489, 476, 273, 16088, 692, 27447, 24662, 281, 521, 815, 834, 331, 337, 331, 846, 636, 724, 2580, 737, 815, 476, 277, 454, 27447, 24731, 281, 1109, 257, 636, 724, 331, 337, 331, 846, 4840, 24372, 30522, 494, 10254, 370, 16088, 692, 272, 10922, 737, 2999, 521, 32324, 10922, 476, 1911, 876, 454, 20701, 454, 5035, 8827, 912, 825, 1219, 9258, 29381, 24552, 318, 272, 4311, 267, 521, 281, 1193, 267, 562, 281, 703, 264, 9847, 1193, 912, 1038, 8173, 1038, 476, 25913, 25622, 13601, 16088, 21211, 31033, 4970, 366, 10254, 485, 29830, 485, 454, 1038, 17276, 501, 370, 25426, 368, 14035, 491, 23521, 480, 18021, 355, 744, 18217, 264, 5236, 376, 504, 476, 10429, 370, 18809, 715, 476, 20992, 21211, 31033, 4970, 366, 521, 476, 7511, 421, 499, 379, 18021, 355, 8147, 21211, 31033, 4970, 366, 10254, 485, 29830, 485, 16583, 30936, 20992, 419, 374, 379, 26233, 356, 28793, 25426, 368, 14035, 491, 23521, 480, 18021, 355, 27818, 9463, 480, 26033, 481, 420, 369, 482, 13161, 503, 24724, 5405, 505, 454, 1038, 22614, 358, 374, 25426, 368, 14035, 491, 23521, 480, 18021, 355, 744, 18217, 264, 5236, 376, 504, 476, 4970, 353, 14748, 21211, 31033, 4970, 366, 10254, 485, 29830, 485, 7511, 26233, 375, 421, 499, 379, 18021, 355, 20992, 715, 476, 25707, 1038, 2433, 12407, 521, 912, 1038, 2433, 12407, 562, 912, 1038, 2433, 8873, 912, 1038, 8173, 1038, 2132, 521, 19559, 281, 316, 1341, 521, 11468, 333, 6540, 825, 1219, 9258, 29381, 24552, 318, 273, 4311, 267, 521, 281, 1193, 267, 562, 281, 703, 264, 9847, 1193, 912, 1038, 8173, 1038, 476, 25913, 25622, 11590, 490, 16088, 28578, 23989, 421, 479, 491, 31308, 484, 418, 489, 376, 26406, 354, 454, 1038, 17276, 501, 370, 25426, 368, 14035, 491, 23521, 480, 18021, 355, 744, 18217, 264, 5236, 376, 504, 22614, 374, 379, 26233, 356, 421, 479, 491, 31308, 484, 521, 13127, 373, 370, 418, 371, 375, 20693, 510, 8147, 12916, 379, 17958, 419, 374, 379, 26233, 356, 28793, 25426, 368, 5405, 505, 454, 1038, 22614, 358, 374, 25426, 368, 14035, 491, 23521, 480, 18021, 355, 744, 18217, 264, 5236, 376, 504, 476, 13161, 364, 417, 375, 374, 7511, 20001, 483, 20693, 358, 759, 476, 12916, 379, 17958, 744, 18217, 264, 13127, 353, 356, 16533, 493, 7511, 30903, 507, 14035, 500, 419, 358, 374, 25426, 368, 25707, 1038, 2433, 12407, 521, 912, 1038, 2433, 12407, 562, 912, 1038, 2433, 8873, 912, 1038, 8173, 1038, 759, 815, 29129, 1038, 1948, 585, 1775, 538, 2039, 3799, 267, 7003, 4433, 15892, 1038, 1948, 672, 759, 6910, 4433, 5157, 7481, 1038, 1948, 585, 1775, 538, 2039, 3799, 2187, 1038, 1948, 672, 759, 6910, 4433, 5157, 20285, 1038, 1948, 476, 10254, 358, 17958, 418, 365, 480, 12916, 503, 13213, 494, 28997, 501, 8147, 23746, 23284, 28997, 478, 25060, 500, 28786, 419, 510, 479, 25707, 1038, 585, 1775, 538, 2039, 3799, 267, 562, 1341, 7003, 4433, 15892, 2018, 759, 6910, 4433, 5157, 4939, 7003, 4433, 13580, 2020, 1038, 2132, 1412, 8339, 21860, 263, 637, 2020, 825, 1219, 9258, 29381, 24552, 318, 274, 4311, 267, 521, 281, 1193, 267, 562, 281, 703, 264, 9847, 1193, 912, 1038, 8173, 1038, 476, 25913, 25622, 4970, 487, 16088, 21211, 31033, 4970, 366, 421, 479, 491, 31308, 484, 418, 489, 376, 26406, 354, 454, 1038, 17276, 501, 370, 25426, 368, 14035, 491, 23521, 480, 18021, 355, 744, 18217, 264, 16088, 22614, 374, 379, 26233, 356, 421, 479, 491, 31308, 484, 521, 13127, 373, 370, 418, 371, 375, 20693, 510, 8147, 12916, 379, 17958, 419, 374, 379, 26233, 356, 28793, 25426, 368, 5405, 505, 454, 1038, 22614, 358, 374, 25426, 368, 14035, 491, 23521, 480, 18021, 355, 744, 18217, 264, 16088, 13127, 479, 485, 18777, 378, 23523, 359, 27064, 363, 13213, 485, 31801, 489, 18809, 19540, 483, 11858, 502, 25263, 504, 420, 351, 360, 9463, 488, 28793, 18713, 508, 418, 498, 370, 8147, 454, 1038, 13127, 484, 483, 11858, 502, 18809, 420, 485, 367, 16533, 495, 12571, 490, 28793, 11858, 502, 21928, 421, 499, 379, 18021, 355, 20992, 715, 13127, 23687, 715, 6629, 272, 476, 7511, 4970, 353, 14748, 21211, 31033, 4970, 366, 27818, 13161, 364, 417, 375, 374, 421, 499, 379, 18021, 355, 20992, 715, 476, 7511, 759, 28859, 506, 478, 28884, 12916, 379, 17958, 31176, 491, 22047, 421, 499, 379, 18021, 355, 715, 6629, 272, 476, 7511, 759, 5236, 376, 487, 8147, 454, 1038, 13127, 505, 510, 27882, 353, 420, 485, 367, 16533, 495, 12916, 379, 17958, 744, 18217, 264, 476, 7511, 30903, 507, 14035, 500, 419, 358, 374, 25426, 368, 25707, 1038, 2433, 12407, 521, 912, 1038, 2433, 12407, 562, 912, 1038, 2433, 8873, 912, 1038, 8173, 1038, 759, 815, 834, 5016, 1038, 1948, 585, 1775, 538, 2039, 3799, 267, 7003, 4433, 15892, 1038, 1948, 672, 759, 6834, 521, 5157, 2639, 1038, 1948, 585, 1775, 538, 2039, 3799, 2187, 1038, 1948, 672, 759, 6834, 521, 5157, 6540, 1038, 1948, 476, 10254, 358, 17958, 418, 365, 480, 12916, 503, 13213, 494, 28997, 501, 8147, 23746, 23284, 28997, 478, 25060, 500, 28786, 419, 510, 479, 25707, 1038, 585, 1775, 538, 2039, 3799, 267, 562, 1341, 7003, 4433, 15892, 2018, 759, 6834, 521, 5157, 4939, 7003, 4433, 264, 6540, 1038, 2132, 759, 7531, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 521, 815, 834, 29582, 3698, 326, 4840, 825, 737, 815, 476, 273, 454, 825, 3070, 815, 8827, 4590, 825, 1820, 4433, 1828, 18622, 2091, 29381, 24552, 318, 272, 4433, 267, 737, 4917, 825, 1820, 4433, 1828, 18622, 2091, 29381, 24552, 318, 273, 4433, 267, 737, 4917, 825, 1820, 4433, 1828, 18622, 2091, 29381, 24552, 318, 274, 4433, 267, 737, 4917, 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 12163, 31176, 495, 418, 490, 485, 20644, 476, 5038, 269, 17276, 365, 480, 272, 266, 273, 266, 2507, 266, 333, 454, 418, 365, 480, 476, 272, 266, 273, 266, 1862, 266, 333, 5236, 376, 490, 28884, 418, 365, 480, 21251, 420, 25693, 12916, 379, 17958, 18263, 502, 30522, 353, 25622, 18998, 1721, 18998, 6112, 18998, 604, 18998, 12828, 18998, 1873, 3558, 18998, 13826, 419, 511, 487, 10429, 367, 421, 498, 362, 21211, 9463, 488, 23521, 350, 10524, 370, 10254, 353, 13161, 511, 13644, 511, 9463, 354, 27818, 288, 286, 289, 281, 290, 24724, 25707, 419, 353, 374, 28032, 489, 476, 272, 16088, 692, 27447, 24662, 281, 562, 815, 476, 274, 454, 27447, 24731, 281, 1109, 277, 454, 419, 353, 374, 28032, 489, 476, 273, 16088, 454, 27447, 24662, 281, 562, 815, 476, 280, 454, 27447, 24731, 281, 1109, 3393, 692, 30522, 494, 10254, 370, 16088, 692, 272, 10922, 562, 1109, 27045, 476, 1911, 876, 454, 20701, 454, 5035, 8827, 912, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 269, 637, 815, 476, 271, 692, 825, 1219, 2040, 301, 4548, 4311, 267, 562, 281, 703, 264, 9847, 703, 912, 1038, 8173, 1038, 476, 20881, 496, 25051, 496, 25622, 1341, 476, 20881, 375, 20001, 495, 31033, 419, 509, 511, 420, 371, 363, 27818, 14756, 486, 27882, 351, 20881, 496, 25051, 496, 24724, 454, 1038, 17276, 501, 370, 25426, 368, 14035, 491, 23521, 480, 18021, 355, 744, 3799, 264, 5236, 376, 504, 476, 18777, 350, 28997, 501, 562, 1341, 630, 333, 268, 272, 264, 1341, 3267, 1341, 476, 273, 1341, 476, 272, 28859, 506, 478, 28884, 19764, 478, 12571, 363, 562, 476, 14748, 20881, 496, 25051, 496, 16583, 30936, 25707, 1038, 22614, 358, 374, 25426, 368, 14035, 491, 23521, 480, 18021, 355, 744, 3799, 264, 5236, 376, 504, 476, 20881, 496, 25051, 496, 418, 371, 365, 18021, 355, 20001, 378, 28996, 562, 5236, 376, 490, 419, 367, 375, 14756, 509, 12916, 379, 17958, 744, 3799, 264, 13127, 353, 356, 16533, 493, 7511, 30903, 507, 14035, 500, 419, 358, 374, 25426, 368, 454, 1038, 2433, 12407, 562, 912, 1038, 2433, 8873, 912, 1038, 8173, 1038, 562, 3436, 476, 272, 543, 1582, 27904, 301, 4548, 3799, 910, 476, 272, 994, 1038, 1582, 269, 637, 6834, 562, 454, 1038, 2132, 1582, 269, 637, 7531, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 562, 815, 476, 280, 454, 825, 3070, 815, 8827, 4590, 825, 1820, 4433, 1828, 27904, 301, 4548, 3799, 4917 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11494, 8548, 1170, 22710, 3890, 4917, 1038, 1820, 2891, 10900, 955, 268, 5602, 1038, 585, 513, 538, 1582, 269, 1952, 2002, 906, 8217, 912, 2018, 1820, 2891, 297, 984, 9517, 281, 834, 1341, 513, 12459, 984, 2839, 994, 2018, 1820, 2891, 19613, 281, 834, 1341, 1193, 5416, 7456, 6327, 4917, 2018, 1820, 2891, 20360, 578, 10671, 6479, 281, 834, 1341, 1193, 5416, 9884, 785, 578, 4917, 2018, 1820, 2891, 8649, 870, 16041, 281, 834, 1341, 1193, 5416, 269, 26920, 318, 2903, 539, 4917, 2018, 1820, 2891, 299, 1933, 942, 281, 834, 1341, 1193, 5416, 269, 2903, 22710, 4917, 2018, 1820, 2891, 307, 30638, 6967, 4390, 281, 834, 1341, 1193, 5416, 269, 8145, 8724, 318, 5115, 13369, 4917, 2018, 1820, 2891, 6635, 337, 2526, 281, 834, 1341, 1193, 5416, 269, 1952, 2002, 618, 318, 11034, 4917, 2018, 1820, 2891, 12831, 691, 675, 281, 834, 1341, 1193, 5416, 269, 1952, 2002, 618, 318, 754, 4917, 2018, 1820, 2891, 10900, 955, 268, 5602, 1038, 1820, 2891, 10831, 540, 9486, 14406, 2433, 257, 1341, 1193, 4311, 26098, 20311, 318, 13388, 3298, 8548, 1170, 539, 3890, 4917, 1038, 1820, 2891, 290, 636, 11494, 4413, 942, 281, 834, 266, 1193, 4311, 26098, 6831, 636, 11494, 8548, 1170, 22710, 3890, 11723, 825, 1219, 1265, 20311, 318, 13388, 3298, 8548, 1170, 539, 4311, 2187, 1038, 1293, 815, 476, 271, 454, 1038, 585, 513, 538, 1582, 269, 1952, 2002, 906, 8217, 912, 2018, 952, 513, 269, 1952, 2002, 618, 318, 754, 3436, 513, 9884, 785, 578, 314, 272, 14158, 3546, 1293, 815, 1293, 1341, 476, 272, 454, 1038, 2132, 1293, 692, 825, 1219, 1265, 6831, 636, 11494, 8548, 1170, 22710, 4311, 2187, 1038, 4413, 22710, 815, 476, 271, 454, 1038, 585, 513, 538, 1582, 269, 1952, 2002, 906, 8217, 912, 2018, 952, 513, 269, 1952, 2002, 618, 318, 754, 3436, 513, 9884, 785, 578, 314, 272, 14158, 3546, 4413, 22710, 815, 4413, 22710, 1341, 630, 320, 269, 1952, 2002, 618, 318, 754, 910, 513, 9884, 785, 578, 314, 272, 7481, 1038, 2132, 4413, 22710, 7531, 5035, 2561, 2002, 618, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 13393, 318, 11034, 267, 13393, 318, 754, 2073, 2816, 318, 2839, 267, 4087, 267, 6885, 267, 2179, 318, 2903, 539, 267, 4452, 22710, 267, 6967, 318, 5115, 13369, 2187, 1038, 1582, 269, 1952, 2002, 618, 318, 11034, 476, 815, 13393, 318, 11034, 454, 1038, 1582, 269, 1952, 2002, 618, 318, 754, 815, 13393, 318, 754, 454, 1038, 1582, 12459, 984, 2839, 815, 2816, 318, 2839, 454, 1038, 1582, 7456, 6327, 815, 4087, 454, 1038, 1582, 9884, 785, 578, 815, 6885, 454, 1038, 1582, 269, 26920, 318, 2903, 539, 815, 2179, 318, 2903, 539, 454, 1038, 1582, 269, 2903, 22710, 815, 4452, 22710, 454, 1038, 1582, 269, 8145, 8724, 318, 5115, 13369, 815, 6967, 318, 5115, 13369, 7531, 3698, 1118, 318, 2675, 7359, 5560, 18182, 267, 14903, 267, 1244, 582, 267, 29746, 267, 2816, 8266, 267, 1376, 22710, 267, 1376, 29223, 267, 4358, 318, 2903, 2187, 825, 782, 7272, 6372, 318, 4650, 902, 815, 1711, 318, 4650, 902, 27203, 984, 8266, 994, 825, 5727, 928, 539, 547, 1039, 519, 942, 547, 1205, 547, 270, 5228, 1244, 582, 693, 4098, 270, 754, 540, 1554, 267, 543, 6148, 2063, 29746, 693, 1439, 540, 1554, 12163, 825, 795, 20189, 1662, 815, 31460, 825, 585, 795, 538, 2816, 8266, 912, 1038, 795, 20189, 1662, 14728, 12459, 984, 2839, 316, 815, 795, 454, 825, 10888, 318, 4650, 16229, 815, 6218, 6831, 739, 15058, 318, 718, 318, 4650, 902, 263, 718, 7272, 6372, 318, 4650, 902, 267, 14903, 267, 1244, 582, 267, 29746, 267, 795, 20189, 1662, 267, 1376, 22710, 267, 1376, 29223, 267, 4358, 318, 2903, 994, 825, 10888, 318, 4650, 815, 782, 7272, 6372, 318, 4650, 902, 314, 7773, 940, 318, 4650, 16229, 2639, 825, 13393, 8266, 815, 1118, 318, 1952, 2002, 618, 8217, 263, 7773, 940, 318, 4650, 267, 9920, 267, 14903, 267, 1244, 582, 267, 29746, 267, 795, 20189, 1662, 267, 1376, 22710, 267, 1376, 29223, 267, 4358, 318, 2903, 994, 825, 8430, 815, 21480, 263, 1952, 2002, 618, 8266, 267, 795, 20189, 1662, 267, 2816, 8266, 994, 825, 2132, 8430, 7531, 3698, 1711, 318, 4650, 902, 27203, 984, 8266, 2187, 825, 795, 318, 279, 318, 1015, 815, 11713, 825, 795, 318, 1015, 318, 1321, 815, 11713, 825, 795, 318, 1321, 318, 1691, 815, 11713, 825, 795, 318, 1691, 318, 1626, 815, 11713, 825, 795, 318, 1626, 318, 1240, 815, 11713, 825, 585, 2816, 538, 2816, 8266, 912, 1038, 952, 2816, 9884, 785, 578, 314, 271, 316, 2652, 476, 279, 912, 2018, 795, 318, 279, 318, 1015, 6910, 27203, 984, 12459, 984, 2839, 994, 1038, 8640, 2816, 9884, 785, 578, 314, 271, 316, 2652, 476, 1015, 912, 2018, 795, 318, 1015, 318, 1321, 6910, 27203, 984, 12459, 984, 2839, 994, 1038, 8640, 2816, 9884, 785, 578, 314, 271, 316, 2652, 476, 1321, 912, 2018, 795, 318, 1321, 318, 1691, 6910, 27203, 984, 12459, 984, 2839, 994, 1038, 8640, 2816, 9884, 785, 578, 314, 271, 316, 2652, 476, 1691, 912, 2018, 795, 318, 1691, 318, 1626, 6910, 27203, 984, 12459, 984, 2839, 994, 1038, 8640, 2816, 9884, 785, 578, 314, 271, 316, 2652, 476, 1626, 912, 2018, 795, 318, 1626, 318, 1240, 6910, 27203, 984, 12459, 984, 2839, 994, 825, 533, 318, 334, 318, 279, 318, 1015, 815, 1592, 263, 527, 1068, 8962, 269, 11279, 20706, 27203, 318, 279, 318, 1015, 4917, 825, 533, 318, 334, 318, 1015, 318, 1321, 815, 1592, 263, 527, 1068, 8962, 269, 11279, 20706, 27203, 318, 1015, 318, 1321, 4917, 825, 533, 318, 334, 318, 1321, 318, 1691, 815, 1592, 263, 527, 1068, 8962, 269, 11279, 20706, 27203, 318, 1321, 318, 1691, 4917, 825, 533, 318, 334, 318, 1691, 318, 1626, 815, 1592, 263, 527, 1068, 8962, 269, 11279, 20706, 27203, 318, 1691, 318, 1626, 4917, 825, 533, 318, 334, 318, 1626, 318, 1240, 815, 1592, 263, 527, 1068, 8962, 269, 11279, 20706, 27203, 318, 1626, 318, 1240, 11723, 825, 782, 7272, 6372, 318, 4650, 902, 815, 11713, 825, 585, 522, 272, 538, 533, 318, 334, 318, 279, 318, 1015, 912, 1038, 585, 522, 273, 538, 533, 318, 334, 318, 1015, 318, 1321, 912, 2018, 585, 522, 274, 538, 533, 318, 334, 318, 1321, 318, 1691, 912, 3546, 585, 522, 275, 538, 533, 318, 334, 318, 1691, 318, 1626, 912, 7386, 585, 522, 276, 538, 533, 318, 334, 318, 1626, 318, 1240, 912, 13376, 782, 7272, 6372, 318, 4650, 902, 6910, 263, 334, 272, 266, 334, 273, 266, 334, 274, 266, 334, 275, 266, 334, 276, 994, 825, 2132, 782, 7272, 6372, 318, 4650, 902, 7531, 3698, 3845, 9638, 272, 267, 533, 273, 2187, 825, 2132, 2979, 28460, 9230, 335, 272, 314, 271, 316, 268, 335, 273, 314, 271, 8079, 1262, 273, 1341, 630, 335, 272, 314, 272, 316, 268, 335, 273, 314, 272, 8079, 1262, 273, 9239, 3698, 6218, 6831, 739, 15058, 318, 718, 318, 4650, 902, 263, 718, 7272, 6372, 318, 4650, 902, 267, 14903, 267, 1244, 582, 267, 29746, 267, 795, 20189, 1662, 267, 1376, 22710, 267, 1376, 29223, 267, 4358, 318, 2903, 2187, 825, 3790, 815, 11713, 825, 585, 19280, 538, 782, 7272, 6372, 318, 4650, 902, 912, 1038, 3790, 6910, 6262, 739, 15058, 318, 534, 318, 867, 1359, 263, 867, 1359, 267, 14903, 267, 1244, 582, 267, 29746, 267, 795, 20189, 1662, 267, 1376, 22710, 267, 1376, 29223, 267, 4358, 318, 2903, 4917, 825, 1295, 16229, 815, 476, 271, 454, 825, 585, 1775, 538, 2039, 263, 272, 267, 7003, 6262, 739, 338, 15892, 1038, 8173, 1038, 1820, 6262, 739, 338, 5157, 7481, 1038, 8173, 1038, 952, 3790, 5157, 316, 2999, 3790, 314, 2381, 16229, 14158, 2018, 1295, 16229, 815, 1775, 454, 825, 2132, 1295, 16229, 7531, 3698, 1942, 15058, 318, 534, 318, 867, 1359, 263, 867, 1359, 267, 14903, 267, 1244, 582, 267, 29746, 267, 795, 20189, 1662, 267, 1376, 22710, 267, 1376, 29223, 267, 4358, 318, 2903, 2187, 825, 1942, 815, 476, 271, 1948, 322, 739, 568, 6117, 942, 1341, 13888, 20507, 585, 7508, 942, 6885, 454, 825, 942, 815, 1376, 22710, 454, 825, 952, 12759, 263, 867, 1359, 4297, 2652, 476, 271, 912, 1038, 2132, 1942, 454, 825, 14903, 269, 8145, 8724, 22479, 13369, 815, 14903, 27982, 22479, 13369, 910, 4358, 318, 2903, 454, 825, 1699, 29223, 815, 1376, 29223, 454, 825, 585, 7329, 538, 19280, 912, 1038, 952, 14903, 269, 8145, 8724, 22479, 13369, 910, 795, 20189, 1662, 314, 573, 4940, 26920, 2999, 476, 271, 912, 2018, 1948, 991, 547, 4188, 1942, 547, 2272, 585, 942, 547, 2951, 547, 29746, 267, 519, 942, 547, 796, 2903, 519, 14903, 263, 269, 1839, 1070, 543, 1287, 519, 942, 547, 5397, 547, 1985, 2816, 267, 543, 942, 547, 4452, 1985, 2816, 454, 2018, 1942, 815, 1942, 1341, 630, 323, 2700, 263, 9690, 29223, 267, 29746, 7456, 6327, 4297, 1315, 476, 2568, 269, 271, 454, 2018, 942, 815, 942, 1341, 630, 323, 2700, 263, 9690, 29223, 267, 29746, 7456, 6327, 4297, 1315, 476, 2568, 269, 271, 1341, 1547, 1839, 454, 2018, 2179, 5091, 22981, 815, 14903, 27982, 22479, 13369, 910, 14903, 269, 8145, 8724, 22479, 13369, 454, 2018, 14903, 269, 8145, 8724, 22479, 13369, 815, 14903, 27982, 22479, 13369, 454, 2018, 1942, 815, 1942, 1341, 630, 323, 2700, 5560, 2794, 7456, 6327, 267, 795, 20189, 1662, 314, 573, 4940, 331, 6327, 4297, 1315, 476, 2568, 269, 271, 454, 2018, 5727, 604, 649, 1205, 547, 519, 2816, 1354, 519, 6885, 6238, 12163, 2018, 952, 942, 2999, 795, 20189, 1662, 314, 573, 4940, 30720, 314, 271, 14158, 3546, 942, 815, 795, 20189, 1662, 314, 573, 4940, 30720, 314, 271, 2639, 2018, 942, 815, 942, 1341, 795, 20189, 1662, 314, 573, 4940, 2903, 11742, 454, 2018, 14903, 269, 8145, 8724, 22479, 13369, 815, 14903, 269, 8145, 8724, 22479, 13369, 910, 795, 20189, 1662, 314, 573, 4940, 26920, 454, 1038, 1948, 952, 519, 14903, 666, 3180, 519, 1985, 4452, 267, 991, 547, 513, 3286, 1942, 547, 2272, 585, 942, 547, 2951, 547, 1985, 2816, 267, 543, 942, 547, 4452, 1985, 2816, 454, 1038, 3116, 912, 2018, 1948, 454, 2018, 1942, 815, 1942, 1341, 630, 323, 2700, 27203, 20189, 1662, 314, 573, 4940, 331, 6327, 267, 1699, 29223, 4297, 1315, 476, 2568, 269, 271, 454, 2018, 5727, 604, 649, 1205, 547, 519, 2816, 1354, 519, 6885, 6238, 12163, 2018, 952, 942, 2999, 795, 20189, 1662, 314, 573, 4940, 30720, 314, 271, 14158, 3546, 942, 815, 795, 20189, 1662, 314, 573, 4940, 30720, 314, 271, 2639, 2018, 942, 815, 942, 1341, 795, 20189, 1662, 314, 573, 4940, 2903, 11742, 1341, 630, 323, 2700, 27203, 20189, 1662, 314, 573, 4940, 331, 6327, 267, 1699, 29223, 4297, 1315, 476, 2568, 269, 271, 454, 2018, 5727, 604, 649, 1205, 547, 519, 2816, 1354, 519, 6885, 6238, 12163, 2018, 14903, 269, 8145, 8724, 22479, 13369, 815, 14903, 269, 8145, 8724, 22479, 13369, 910, 795, 20189, 1662, 314, 573, 4940, 26920, 454, 2018, 8173, 2018, 1820, 263, 573, 994, 2018, 1820, 2891, 2903, 942, 281, 834, 1341, 1193, 27203, 20189, 1662, 314, 573, 4940, 2903, 11742, 4917, 2018, 1820, 2891, 2903, 2179, 281, 834, 266, 1193, 27203, 20189, 1662, 314, 573, 4940, 26920, 4917, 2018, 1820, 2891, 322, 17026, 11494, 1942, 281, 834, 1341, 1193, 6262, 739, 4917, 2018, 1820, 2891, 5115, 13369, 6967, 281, 834, 1341, 1193, 6025, 30638, 269, 8145, 8724, 22479, 13369, 4917, 2018, 1820, 2891, 9690, 942, 281, 834, 266, 1193, 263, 5503, 4917, 2018, 8173, 1038, 1699, 29223, 815, 795, 20189, 1662, 314, 573, 4940, 331, 6327, 454, 1038, 5727, 604, 649, 4769, 1405, 9096, 519, 2816, 538, 519, 6885, 12163, 1038, 952, 942, 3436, 795, 20189, 1662, 314, 573, 4940, 30720, 314, 272, 14158, 2018, 1942, 815, 1942, 266, 1911, 2608, 630, 5503, 910, 795, 20189, 1662, 314, 573, 4940, 30720, 314, 272, 7481, 825, 6117, 22710, 815, 1942, 454, 825, 2132, 6117, 22710, 7531, 3698, 1118, 318, 1952, 2002, 618, 8217, 263, 867, 1359, 267, 9920, 267, 14903, 267, 1244, 582, 267, 29746, 267, 795, 20189, 1662, 267, 1376, 22710, 267, 1376, 29223, 267, 4358, 318, 2903, 2187, 825, 13393, 8266, 815, 11713, 825, 1942, 815, 476, 271, 476, 1948, 1942, 568, 6117, 942, 1341, 13888, 20507, 585, 7508, 942, 6885, 454, 825, 942, 815, 1376, 22710, 476, 1948, 9920, 781, 1376, 942, 454, 825, 952, 630, 6352, 263, 867, 1359, 4297, 2652, 476, 271, 912, 1038, 2132, 1942 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6892, 1109, 31184, 273, 314, 271, 316, 815, 1899, 314, 271, 22049, 6892, 1109, 31184, 273, 314, 272, 316, 815, 1899, 314, 272, 22049, 3396, 1109, 1109, 2260, 1677, 1450, 804, 6235, 543, 796, 743, 6235, 6892, 1109, 2260, 540, 519, 1899, 676, 1175, 10296, 513, 1883, 6892, 1109, 321, 944, 9594, 815, 7301, 282, 6892, 1109, 6112, 630, 30720, 18994, 15411, 28829, 2715, 13725, 1109, 30720, 269, 27234, 3890, 282, 13725, 1109, 30631, 2680, 282, 13725, 1109, 604, 630, 30720, 4877, 3326, 30631, 16216, 1203, 4297, 2715, 24748, 1109, 604, 630, 324, 1203, 269, 6943, 2652, 7926, 15311, 5141, 2216, 264, 7673, 13725, 1109, 30720, 25379, 3890, 282, 24748, 1109, 604, 630, 324, 1203, 269, 6943, 2652, 7926, 15311, 7659, 303, 5962, 264, 7673, 13725, 1109, 339, 3419, 3455, 815, 8206, 339, 3419, 3455, 282, 13725, 1109, 348, 13725, 1109, 9526, 28139, 12455, 263, 261, 30720, 267, 14622, 267, 562, 5148, 7673, 1109, 1109, 2260, 4635, 519, 9594, 1871, 547, 17157, 13725, 1109, 2260, 543, 796, 743, 760, 513, 1899, 13725, 1109, 604, 630, 339, 3419, 3455, 264, 2715, 24748, 1109, 1467, 314, 271, 316, 815, 10917, 272, 314, 271, 22049, 24748, 1109, 1467, 314, 272, 316, 815, 10917, 272, 314, 272, 22049, 13725, 1109, 348, 13725, 1109, 12828, 2715, 24748, 1109, 1467, 314, 271, 316, 815, 10917, 273, 314, 271, 22049, 24748, 1109, 1467, 314, 272, 316, 815, 10917, 273, 314, 272, 22049, 13725, 1109, 348, 13725, 1109, 9526, 1467, 263, 261, 30720, 267, 1899, 314, 271, 3910, 1899, 314, 272, 316, 5148, 13725, 1109, 30720, 269, 5891, 3890, 282, 6892, 1109, 348, 6892, 1109, 8873, 476, 271, 282, 10926, 20479, 1384, 263, 9083, 267, 476, 2004, 264, 630, 13301, 267, 476, 11820, 994, 1892, 6969, 1849, 6235, 1384, 1892, 2991, 1849, 6235, 1384, 7069, 9608, 11872, 15561, 5091, 1886, 318, 1575, 0, 266, 271, 692, 258, 17438, 692, 271, 454, 12208, 454, 273, 692, 2252, 596, 941, 547, 4584, 1079, 1053, 856, 540, 513, 1362, 540, 476, 278, 6690, 543, 476, 277, 8695, 267, 1018, 568, 519, 5506, 602, 519, 1053, 6074, 616, 1079, 8695, 2496, 13356, 476, 1556, 267, 476, 1708, 272, 692, 258, 272, 454, 266, 23211, 10436, 454, 271, 692, 763, 1297, 540, 2081, 547, 3442, 476, 271, 6690, 689, 513, 1895, 540, 476, 278, 6690, 568, 281, 1109, 1109, 278, 290, 271, 692, 763, 1297, 540, 2081, 547, 3442, 476, 273, 8695, 689, 513, 1895, 540, 476, 277, 8695, 568, 281, 1109, 1109, 277, 290, 273, 692, 763, 1297, 540, 2081, 547, 3442, 476, 273, 1053, 689, 513, 1895, 540, 476, 1724, 1053, 568, 281, 1109, 1109, 1724, 290, 273, 692, 3383, 267, 519, 5506, 568, 281, 1109, 1109, 278, 290, 271, 1109, 1535, 1109, 1109, 277, 290, 273, 1109, 1315, 1109, 1724, 290, 273, 692, 13356, 476, 1556, 267, 476, 1708, 272, 454, 258, 273, 454, 271, 692, 278, 1341, 476, 277, 2652, 1724, 8695, 543, 6690, 692, 277, 1315, 476, 1724, 1109, 1535, 1109, 476, 276, 1315, 476, 1321, 2652, 276, 1315, 476, 2918, 5506, 540, 6074, 1053, 616, 476, 273, 8695, 780, 13356, 476, 1321, 267, 476, 1708, 272 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 26001, 286, 2336, 273, 269, 2878, 10673, 566, 2861, 5093, 5213, 566, 2861, 5867, 1445, 593, 5885, 3123, 2673, 547, 938, 12271, 269, 4675, 13024, 3565, 1510, 24584, 4376, 538, 2132, 824, 982, 6616, 789, 1500, 513, 3017, 269, 6056, 540, 17493, 2621, 9870, 2724, 585, 2564, 1382, 610, 9568, 8323, 3646, 563, 274, 269, 2878, 13420, 640, 2861, 5093, 24054, 2861, 5867, 1450, 1394, 619, 547, 1902, 538, 30596, 610, 4213, 538, 5385, 585, 9562, 8843, 269, 1306, 519, 1870, 9428, 267, 865, 1281, 519, 1761, 1871, 540, 741, 5092, 269, 1717, 267, 1832, 538, 2247, 602, 10115, 3322, 4220, 267, 1932, 2439, 1262, 18600, 2622, 6201, 4373, 3086, 602, 649, 917, 519, 9238, 1577, 781, 1413, 693, 930, 1483, 8996, 1806, 547, 1294, 875, 3532, 7715, 4206, 27448, 666, 581, 1384, 265, 5457, 1346, 15813, 3212, 321, 1076, 5100, 342, 520, 2583, 3025, 6068, 513, 1906, 1296, 3516, 286, 1358, 3323, 607, 513, 2241, 2856, 8486, 3481, 593, 918, 1157, 560, 6621, 267, 835, 540, 519, 1034, 4583, 7715, 4206, 27448, 7270, 269, 4256, 3355, 3804, 729, 1175, 1269, 1911, 267, 1822, 269, 2871, 612, 875, 1454, 789, 8694, 909, 9870, 286, 3683, 1269, 1015, 2929, 256, 2060, 971, 11566, 1489, 267, 789, 1223, 13217, 741, 6272, 543, 5838, 1164, 7779, 2472, 547, 782, 741, 1394, 619, 563, 265, 6271, 11121, 1650, 2501, 689, 513, 8004, 3957, 24981, 9977, 269, 2701, 9250, 513, 3811, 1473, 20672, 690, 334, 5859, 547, 4339, 1996, 16220, 9168, 7103, 630, 14875, 11675, 1040, 4173, 6612, 585, 18997, 1866, 827, 1426, 3106, 6659, 936, 1269, 3583, 267, 1822, 267, 7175, 1200, 3919, 547, 3984, 19014, 267, 3132, 3872, 2326, 267, 543, 3136, 14223, 960, 780, 2026, 596, 666, 1294, 267, 950, 2834, 11570, 899, 721, 6443, 4229, 998, 7715, 4206, 27448, 5867, 267, 972, 781, 1100, 3970, 547, 1018, 649, 666, 3035, 256, 3245, 18563, 4657, 519, 1158, 547, 5885, 1271, 1514, 2152, 267, 1169, 9295, 12523, 269, 1924, 1985, 942, 596, 588, 18443, 2390, 513, 4241, 1788, 17596, 513, 2370, 5818, 267, 3314, 602, 707, 1507, 957, 540, 11587, 666, 1291, 547, 1713, 5222, 269, 8414, 7715, 4206, 27448, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 2518, 20010, 16010, 543, 20971, 17738, 10369, 2450, 729, 12595, 693, 20430, 476, 272, 269, 274, 18265, 538, 476, 1708, 274, 543, 568, 15810, 547, 4228, 693, 513, 7623, 5993, 2208, 2557, 630, 7563, 16165, 264, 540, 476, 2537, 269, 273, 260, 1282, 519, 9472, 1974, 267, 8757, 513, 1871, 540, 20430, 476, 275, 269, 273, 18265, 676, 476, 10711, 271, 563, 21446, 894, 16010, 543, 20971, 17738, 10369, 1382, 1867, 676, 8892, 4578, 853, 1846, 267, 3091, 513, 3102, 2070, 540, 519, 2344, 781, 3140, 1239, 689, 476, 1001, 279, 547, 476, 1708, 272, 267, 13830, 3466, 267, 2208, 3270, 267, 543, 1883, 10256, 269, 898, 20964, 476, 1708, 273, 607, 519, 3490, 1032, 267, 7421, 519, 2344, 5251, 267, 7082, 2623, 267, 6735, 267, 543, 6042, 269, 3958, 267, 519, 1867, 6799, 513, 1134, 3146, 572, 2117, 1117, 9472, 1974, 689, 476, 1708, 274, 547, 476, 10711, 271, 267, 16107, 1239, 2079, 2553, 547, 1788, 519, 2344, 781, 2208, 18330, 267, 6932, 3255, 267, 543, 17191, 2591, 563, 21446, 894, 16010, 543, 20971, 17738, 7854, 5499, 2081, 540, 7616, 543, 3854, 14305, 602, 11651, 613, 689, 2757, 12948, 1949, 269, 1452, 3631, 2709, 513, 2039, 540, 1875, 8410, 1203, 328, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 5522, 520, 845, 13188, 257, 607, 851, 540, 834, 24082, 1299, 18598, 1315, 18844, 4206, 27448, 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, 6828, 31499, 910, 589, 5295, 995, 15484, 585, 23046, 9650, 338, 692, 5331, 596, 543, 707, 2828, 616, 9361, 1927, 538, 513, 5858, 267, 4687, 2984, 827, 707, 1554, 267, 6158, 827, 707, 4606, 267, 543, 4543, 1142, 824, 4194, 2042, 269, 3767, 4952, 952, 713, 1895, 8400, 729, 3366, 676, 513, 16887, 8036, 12016, 1572, 513, 5369, 12278, 10076, 2657, 29237, 31943, 518, 630, 15014, 295, 23259, 1040, 901, 1826, 540, 3797, 1141, 513, 6751, 295, 23259, 2337, 513, 1507, 1895, 540, 1004, 4308, 609, 3929, 610, 5626, 2152, 568, 1572, 6828, 31499, 269, 2913, 781, 4685, 4514, 883, 1620, 1018, 621, 1797, 547, 7119, 538, 6828, 31499, 2439, 1432, 568, 6828, 31499, 888, 28598, 27026, 31499, 3322, 513, 6751, 295, 23259, 2324, 5702, 609, 1896, 1004, 630, 17141, 1063, 2947, 547, 12964, 1070, 782, 7231, 609, 2147, 3929, 610, 8965, 2591, 269, 1452, 7886, 666, 948, 5171, 1451, 1007, 1983, 267, 1020, 2635, 12003, 2994, 267, 543, 1265, 4313, 6616, 789, 5749, 1405, 4805, 538, 741, 9620, 269, 1635, 4947, 1927, 5781, 267, 2356, 2899, 610, 7466, 513, 3018, 267, 1895, 2818, 1711, 513, 11215, 2146, 602, 7512, 2208, 543, 7067, 780, 3963, 798, 4658, 12160, 622, 538, 6828, 31499, 888, 14343, 19567, 10144, 949, 3442, 547, 6443, 513, 6828, 31499, 8400, 585, 1585, 4128, 269, 2368, 1522, 1745, 811, 6899, 11589, 2933, 1851, 9905, 2864, 982, 835, 6823, 14633, 609, 513, 13309, 269, 11524, 5660, 6217, 1114, 5380, 689, 2789, 1004, 6849, 2147, 7965, 269, 5047, 267, 7487, 1866, 6707, 6330, 998, 9157, 2053, 3091, 4126, 543, 6667, 269, 3683, 942, 267, 891, 3838, 2833, 6536, 6568, 267, 3972, 267, 543, 2178, 7554, 1369, 519, 1895, 780, 14300, 540, 12983, 5410, 5962, 538, 6828, 31499, 454, 24801, 13430, 294, 12952, 1223, 1445, 593, 5466, 1808, 4145, 899, 4160, 267, 4965, 267, 16236, 267, 8194, 267, 1582, 12635, 267, 10845, 2359, 267, 2566, 5786, 267, 610, 2792, 1983, 269, 6884, 267, 2516, 1522, 849, 13404, 593, 6626, 3584, 971, 607, 2123, 1646, 610, 1272, 13289, 630, 324, 3052, 1421, 18273, 267, 16028, 267, 16468, 1040, 17859, 540, 519, 6249, 267, 6751, 295, 301, 11679, 7520, 5717, 1247, 4180, 3025, 7959, 4862, 543, 15197, 780, 1692, 6496, 6828, 31499, 4518, 888, 5785, 7042, 4263, 519, 4098, 540, 1142, 8400, 267, 519, 6751, 295, 23259, 5036, 2312, 4808, 543, 6788, 585, 16614, 2792, 543, 3742, 6947, 269, 16840, 1491, 7140, 7234, 741, 4555, 267, 4664, 267, 543, 2833, 1644, 547, 519, 6074, 1888, 269, 1306, 7391, 11200, 267, 519, 6751, 295, 23259, 9900, 10274, 519, 5188, 2509, 4030, 267, 1966, 9010, 2553, 267, 543, 2318, 4093, 269, 10705, 267, 2818, 3605, 3860, 3435, 676, 1565, 689, 835, 1776, 779, 2189, 16752, 543, 10080, 780, 763, 10020, 540, 513, 5369, 12278, 10076, 2657, 29237, 31943, 518, 630, 15014, 295, 23259, 994, 5785, 5785, 21387, 1103, 1840, 547, 14123, 1930, 5717, 267, 6751, 295, 301, 11679, 2709, 5583, 267, 1489, 267, 543, 6791, 1282, 6828, 31499, 7886, 269, 1358, 6895, 3356, 267, 2232, 1022, 7526, 267, 543, 2303, 25191, 2200, 950, 2877, 269, 5015, 267, 6751, 295, 301, 11679, 12840, 609, 824, 3782, 7426, 3238, 538, 1895, 2818, 262, 2126, 4566, 547, 2327, 3102, 1416, 780, 19119, 540, 6828, 31499, 454, 28598, 27396, 908, 538, 6828, 31499, 814, 3875, 2640, 267, 930, 540, 799, 1331, 1384, 265, 28214, 1447, 9678, 1107, 16734, 972, 616, 1866, 7680, 2147, 3871, 3248, 265, 15043, 6793, 14375, 1983, 1107, 8026, 2500, 2792, 543, 3742, 6947, 3248, 265, 717, 8724, 4195, 5813, 1107, 1565, 875, 1866, 10994, 2042, 543, 4019, 1346, 4245, 547, 2087, 835, 781, 1378, 3510, 3248, 265, 31514, 8404, 1107, 11287, 9283, 1500, 676, 8284, 1895, 2818, 26182, 1689, 3248, 265, 8490, 6015, 1107, 31667, 532, 1483, 3734, 7653, 1369, 513, 2922, 1604, 5012, 547, 2799, 7682, 4369, 3544, 519, 1895, 4259, 3248, 265, 5510, 1359, 8994, 1489, 1107, 3246, 15260, 4269, 543, 19015, 547, 1866, 11942, 513, 2631, 540, 10362, 543, 4276, 3248, 265, 8779, 9806, 1107, 1895, 3797, 3335, 3790, 1447, 829, 1268, 3379, 547, 1367, 3797, 7886, 780, 6962, 454, 29603, 27026, 31499, 4249, 606, 1898, 1909, 538, 2790, 1072, 1416, 7258, 2757, 835, 6823, 14633, 11257, 269, 898, 5932, 3255, 585, 5698, 267, 1565, 267, 543, 7067, 10838, 9905, 10188, 1455, 2591, 896, 519, 9952, 4287, 540, 513, 6751, 295, 23259, 269, 1879, 2016, 519, 4960, 267, 10283, 538, 971, 2516, 666, 1291, 547, 7415, 2123, 14759, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 20329, 12278, 10076, 2657, 29237, 31943, 619, 454, 20329, 12278, 2790, 1072, 12016, 9439, 630, 15014, 295, 301, 11679, 264, 616, 2790, 1072, 1416, 4648, 945, 2253, 741, 3318, 11678, 676, 11504, 8808, 1153, 267, 543, 1287, 2469, 593, 547, 2347, 2901, 4487, 781, 610, 25719, 5232, 269, 1358, 616, 8036, 547, 960, 609, 2043, 543, 3885, 609, 17867, 4713, 267, 543, 547, 5077, 609, 2516, 267, 2950, 267, 9777, 2209, 267, 7855, 543, 14078, 269, 1358, 1683, 513, 2407, 2039, 540, 17867, 543, 2790, 1072, 1416, 267, 1519, 519, 7245, 540, 21911, 543, 519, 13310, 540, 6527, 269, 769, 693, 2547, 476, 736, 2829, 267, 17867, 11923, 616, 13931, 547, 1521, 2550, 538, 4357, 1790, 15462, 28503, 563, 32086, 585, 5369, 12278, 10076, 2657, 29237, 31943, 619, 454, 288, 12016, 19995, 1590, 3489, 693, 2547, 476, 277, 547, 476, 1015, 1296, 540, 2022, 29364, 776, 2069, 269, 634, 11134, 1590, 1101, 7118, 513, 476, 275, 4458, 4110, 538, 8808, 267, 1287, 2347, 606, 9516, 4487, 781, 610, 25719, 4110, 269, 634, 10927, 8808, 1982, 1590, 1331, 693, 2547, 476, 7785, 554, 537, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 27026, 31499, 257, 607, 851, 540, 834, 25503, 1315, 16711, 1315, 5369, 12278, 1299, 10076, 2657, 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, 5149, 476, 275, 281, 17327, 26492, 538, 16520, 26888, 540, 7087, 24447, 540, 25725, 6816, 692, 1103, 1082, 4529, 1472, 519, 1158, 267, 5711, 5389, 723, 1044, 15747, 538, 8497, 1686, 267, 4978, 267, 9821, 267, 543, 22693, 269, 7324, 519, 7087, 2950, 540, 25725, 6816, 630, 320, 2165, 1419, 1031, 676, 7087, 9082, 547, 3277, 547, 3345, 3013, 1070, 891, 2984, 5293, 1524, 998, 5481, 3180, 10373, 4644, 269, 1358, 616, 7184, 23091, 609, 3961, 5250, 267, 1514, 22122, 267, 543, 1702, 6771, 269, 769, 713, 1770, 267, 649, 5490, 883, 519, 17381, 543, 6988, 540, 7087, 5711, 5389, 1336, 1369, 5339, 10070, 1247, 23622, 593, 741, 1909, 538, 4207, 2486, 780, 296, 269, 4197, 17327, 26492, 692, 288, 269, 9502, 543, 11957, 692, 4263, 922, 4295, 267, 606, 5711, 2245, 4564, 1022, 1106, 540, 1702, 610, 1344, 10299, 8231, 958, 689, 1268, 547, 1268, 610, 1895, 547, 1895, 269, 10705, 12082, 538, 3504, 2053, 267, 789, 4196, 1585, 5301, 971, 607, 3450, 26069, 267, 10916, 3140, 2621, 267, 7713, 2067, 9259, 267, 17923, 6848, 8155, 267, 543, 19278, 9458, 269, 1280, 7087, 2950, 540, 25725, 6816, 267, 5711, 5389, 1599, 3564, 6071, 9423, 282, 789, 18220, 2686, 6561, 267, 2226, 4296, 609, 11937, 267, 543, 19472, 1367, 543, 7104, 9163, 780, 289, 269, 9537, 540, 17327, 26492, 692, 29378, 5711, 5389, 2097, 538, 3309, 3029, 1519, 14868, 267, 17691, 267, 12563, 2145, 525, 267, 12473, 6386, 267, 8964, 267, 669, 1218, 267, 605, 18690, 267, 678, 26680, 267, 543, 2123, 2833, 269, 3962, 1826, 11438, 2189, 4162, 543, 5713, 3982, 3252, 1369, 519, 2146, 269, 1280, 3236, 267, 14868, 3335, 4308, 609, 16750, 7919, 543, 4229, 5935, 519, 26355, 267, 6466, 17691, 22281, 9058, 23339, 5340, 676, 1480, 12325, 269, 11531, 267, 605, 18690, 543, 678, 26680 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2011, 538, 9641, 950, 782, 7929, 6091, 616, 17159, 563, 293, 13612, 284, 27263, 1341, 681, 309, 815, 13301, 271, 332, 299, 454, 16655, 2011, 799, 666, 581, 6410, 689, 2620, 1163, 19418, 547, 2620, 6667, 563, 31357, 284, 16843, 309, 1341, 966, 339, 1341, 27263, 284, 476, 30420, 271, 332, 299, 454, 307, 2426, 25016, 27519, 454, 13707, 4320, 540, 2011, 4371, 676, 519, 9641, 454, 307, 9448, 284, 16843, 309, 1341, 966, 339, 1341, 18317, 309, 1341, 681, 309, 815, 476, 276, 3445, 271, 332, 299, 454, 1432, 1505, 666, 2268, 674, 13612, 888, 8649, 870, 540, 2011, 596, 666, 7903, 856, 538, 476, 272, 3813, 270, 2698, 2179, 540, 2011, 596, 666, 7903, 856, 454, 24127, 540, 7929, 3148, 630, 12061, 11546, 611, 2230, 994, 32325, 799, 666, 2268, 681, 309, 454, 274, 2095, 2010, 543, 519, 5481, 789, 2811, 2404, 609, 563, 307, 7875, 12040, 281, 9198, 725, 476, 271, 268, 280, 454, 299, 3133, 541, 281, 9198, 725, 476, 1015, 268, 1626, 454, 11795, 15133, 281, 9198, 725, 476, 1704, 268, 2537, 630, 665, 15479, 11179, 543, 4830, 540, 7929, 4783, 994, 14976, 2880, 960, 568, 14354, 547, 2483, 15239, 268, 601, 2880, 960, 568, 14354, 547, 2483, 14976, 2880, 25341, 570, 10537, 11730, 454, 15239, 268, 601, 2880, 630, 6135, 9689, 2861, 264, 25341, 22039, 540, 22165, 3107, 454, 275, 15486, 585, 14523, 2135, 8598, 454, 263, 272, 264, 14523, 990, 550, 7976, 630, 7224, 1689, 538, 589, 320, 23077, 273, 994, 263, 273, 264, 5262, 4288, 7799, 2787, 630, 628, 32169, 267, 4389, 1858, 267, 3092, 8094, 263, 274, 264, 1744, 2863, 630, 7224, 1689, 689, 2799, 744, 273, 994, 29797, 2135, 807, 5288, 14523, 2135, 8598, 454, 1892, 29797, 2135, 807, 268, 22975, 540, 519, 1560, 610, 1808, 8219, 1813, 547, 25314, 2255, 538, 5135, 3761, 543, 5160, 7569, 454, 1892, 29797, 2135, 8598, 268, 950, 5135, 5834, 538, 27555, 1973, 568, 1932, 1970, 454, 414, 501, 355, 25508, 302, 273, 1447, 982, 476, 3199, 6515, 32074, 454, 414, 501, 355, 29819, 7298, 1447, 982, 476, 2568, 6515, 32074, 454, 268, 19461, 15214, 11364, 454, 268, 17659, 344, 15258, 807, 630, 341, 698, 958, 13251, 994, 268, 590, 680, 21329, 19432, 454, 29797, 16464, 13809, 540, 1230, 4109, 1145, 454, 15612, 908, 4284, 8344, 16458, 6611, 454, 309, 323, 270, 309, 339, 815, 630, 25508, 4596, 273, 268, 3212, 4596, 273, 8358, 25508, 4596, 273, 454, 263, 6343, 1223, 581, 1163, 1600, 910, 1018, 568, 1163, 1600, 8358, 6343, 1223, 1163, 1600, 454, 31863, 5223, 281, 1547, 273, 268, 269, 3374, 454, 309, 339, 281, 538, 1747, 547, 3339, 1125, 12214, 4666, 2230, 585, 513, 2016, 23864, 4320, 454, 763, 2179, 540, 3154, 11843, 568, 14354, 547, 519, 1858, 630, 288, 1070, 543, 3017, 538, 9864, 2604, 454, 5327, 32606, 519, 2188, 799, 5351, 18236, 282, 6645, 721, 2910, 273, 886, 4926, 476, 2420, 343, 1732, 982, 744, 273, 454, 2691, 513, 851, 540, 519, 5761, 814, 1970, 9338, 12717, 5357, 2752, 18161, 273, 267, 1973, 568, 17146, 689, 3834, 16464, 2127, 547, 1134, 12656, 325, 4310, 2127, 630, 810, 607, 547, 711, 3653, 1973, 1141, 621, 4465, 1405, 581, 5887, 23624, 994, 27246, 540, 589, 320, 23077, 273, 454, 268, 26277, 5669, 695, 2863, 454, 268, 17588, 577, 658, 18025, 592, 14004, 15532, 454, 763, 5834, 540, 513, 1151, 1393, 3154, 538, 513, 3070, 568, 2047, 14354, 547, 9864, 2604, 540, 602, 3154, 1657, 519, 3070, 563, 290, 284, 737, 295, 630, 303, 6661, 5834, 568, 3070, 284, 4744, 6295, 3586, 630, 12304, 675, 994, 31262, 540, 2910, 454, 1103, 519, 4527, 540, 1507, 5666, 540, 2910, 267, 25505, 585, 744, 273, 568, 7494, 8476, 543, 796, 2903, 532, 568, 15286, 630, 1156, 576, 3411, 6327, 1916, 2691, 29296, 1496, 295, 266, 316, 543, 1496, 295, 4596, 274, 268, 316, 2333, 538, 22980, 628, 24945, 5052, 267, 670, 4596, 274, 268, 886, 4926, 856, 543, 1849, 268, 538, 267, 547, 2226, 5122, 29591, 454, 763, 4527, 540, 744, 273, 11081, 519, 25505, 540, 24562, 585, 2910, 273, 543, 20674, 538, 519, 796, 2903, 532, 540, 2910, 273, 689, 519, 1973, 547, 519, 31276, 6897, 5624, 0, 4002, 13628, 267, 519, 4436, 14618, 796, 29434, 3585, 5293, 513, 968, 7224, 1797, 1100, 892, 1876, 602, 21040, 519, 4214, 540, 22149, 547, 1022, 1106, 540, 1875, 15926, 839, 783, 4638, 3346, 563, 763, 2268, 814, 1044, 538, 519, 1568, 585, 1296, 267, 855, 729, 6368, 5293, 1310, 2527, 6285, 593, 1715, 5729, 779, 18832, 538, 595, 860, 928, 267, 538, 799, 7366, 540, 2021, 1767, 789, 941, 575, 1886, 539, 267, 16091, 267, 543, 3775, 5523, 269, 634, 9086, 32195, 3138, 2684, 3421, 602, 1500, 621, 2352, 547, 19439, 25476, 269, 7201, 519, 3105, 1876, 267, 513, 6408, 6031, 968, 7224, 892, 729, 711, 2614, 547, 3715, 513, 3668, 540, 9844, 269, 634, 1007, 9086, 1362, 5809, 575, 1886, 532, 607, 513, 3023, 6760, 607, 1134, 563, 5278, 2021, 779, 2924, 15156, 2161, 789, 24714, 519, 9086, 4682, 2417, 267, 1247, 15061, 1876, 16234, 14126, 827, 18445, 538, 5480, 602, 513, 6408, 1705, 711, 2285, 9844, 269, 6736, 891, 30852, 267, 519, 9086, 7436, 513, 24659, 4090, 585, 5125, 267, 1141, 4031, 593, 4638, 14213, 338, 723, 1279, 18848, 3022, 3297, 519, 1964, 540, 2342, 563, 24281, 519, 2250, 972, 941, 2665, 1141, 2021, 941, 986, 6244, 855, 519, 10419, 21116, 7948, 1405, 581, 27052, 2437, 5125, 781, 10579, 585, 6468, 267, 2494, 21731, 5576, 342, 525, 580, 267, 5143, 519, 23105, 4964, 563, 763, 1007, 1876, 786, 2015, 782, 3029, 540, 1875, 15926, 550, 6190, 267, 1519, 1312, 2168, 543, 11913, 10291, 689, 519, 6408, 269, 634, 1876, 849, 15565, 3476, 5220, 585, 10963, 8149, 676, 1804, 2516, 563, 1103, 1931, 585, 606, 957, 547, 13822, 22149, 896, 519, 3105, 1876, 267, 9601, 941, 2838, 547, 723, 29846, 2933, 9308, 269, 1703, 729, 1100, 2312, 4214, 540, 9844, 269, 634, 957, 540, 6031, 968, 7224, 892, 729, 711, 2808, 6190, 547, 6961, 513, 24769, 16944, 563, 6097, 547, 519, 1007, 1876, 267, 834, 2005, 4927, 1100, 3476, 581, 2838, 602, 519, 1055, 2658, 1590, 585, 322, 4601, 7753, 519, 6408, 269, 13298, 267, 621, 4927, 581, 6190, 602, 519, 786, 540, 519, 6408, 568, 6444, 543, 519, 10419, 15249, 1219, 625, 621, 4799, 1607, 9086, 6770, 5125, 779, 4031, 593, 4638, 14213, 338, 538, 1899, 609, 1346, 538, 1454, 540, 519, 1964, 540, 519, 2919, 1158, 269, 634, 2136, 13780, 779, 968, 21652, 1504, 585, 18489, 3175, 593, 20222, 18830, 6468, 2223, 1435, 5894, 515, 539, 538, 476, 1001, 271, 267, 5227, 9427, 1022, 3656, 10421, 602, 4638, 14213, 581, 8149, 676, 3196, 610, 5208, 563, 763, 3656, 1949, 538, 1034, 3864, 543, 3345, 1977, 2477, 2709, 519, 1034, 519, 4027, 585, 2021, 1996, 5208, 267, 2687, 547, 606, 2079, 3370, 538, 634, 6115, 5403, 269, 769, 13785, 267, 585, 3236, 267, 4638, 14213, 11392, 2370, 10892, 1317, 540, 513, 32618, 2528, 540, 2021, 779, 2924, 543, 5571, 1857, 5717, 827, 4638, 5208, 267, 2687, 547, 634, 1715, 3840, 8648, 269, 769, 5125, 267, 676, 4334, 267, 29281, 22149, 729, 7803, 1242, 1152, 538, 476, 1960, 278, 269, 4340, 547, 519, 5403, 2079, 267, 2477, 538, 7262, 5607, 267, 593, 519, 2898, 267, 2709, 519, 1906, 652, 20038, 1996, 4638, 5208, 563, 763, 1007, 1876, 814, 1044, 538, 519, 1568, 2094, 476, 1001, 272, 267, 855, 1857, 8456, 6603, 513, 512, 6235, 1448, 585, 713, 1689, 1310, 519, 2527, 6285, 538, 595, 860, 928, 267, 1141, 3592, 513, 8536, 2021, 1767, 789, 941, 575, 1886, 539, 267, 16091, 267, 610, 3775, 5523, 269, 5221, 14213, 1223, 1152, 581, 8810, 952, 519, 9601, 1223, 6961, 789, 9308, 5706, 539, 267, 1906, 21991, 1903, 8507, 689, 519, 2527, 6285, 563, 19602, 267, 1079, 2367, 941, 4203, 26860, 540, 546, 745, 21794, 543, 986, 4771, 4436, 2203, 717, 2088, 6441, 13453, 700, 2129, 325, 1074, 267, 1256, 1498, 513, 3381, 540, 519, 10071, 2982, 15516, 269, 700, 2129, 325, 1074, 6031, 267, 834, 1805, 641, 621, 267, 3247, 621, 2437, 543, 834, 5591, 4799, 4407, 519, 1007, 4436, 1876, 568, 2808, 513, 19506, 4090, 585, 519, 2197, 543, 922, 2924, 585, 2021, 267, 930, 2021, 779, 2924, 15156, 1131, 723, 17329, 621, 547, 581, 31749, 563, 257, 8170, 1576, 621, 1058, 581, 1412, 8133, 1797, 8786, 10086, 834, 19191, 26701, 2088, 700, 684, 345, 5143, 519, 18917, 269, 15516, 269, 700, 684, 345, 729, 13288, 547, 4993, 543, 1715, 3840, 4031, 602, 2154, 8763, 9844, 267, 799, 3112, 581, 2016, 952, 2576, 568, 18069, 610, 24835, 659, 18469, 676, 5061, 610, 4568, 563, 763, 834, 10468, 514, 3891, 529, 560, 10468, 514, 257, 630, 5591, 1797, 3143, 264, 1876, 834, 15884, 948, 2333, 519, 1297, 540, 9601, 945, 3442, 547, 2046, 10997, 267, 2539, 519, 1297, 540, 7803, 21991, 1903, 602, 616, 6692, 1386, 267, 543, 2327, 4638, 14213, 338, 616, 5265, 27052, 2437, 1767, 10579, 5576, 342, 525, 580, 269, 0, 294, 1516, 12256, 11216, 602, 849, 6146, 1082, 9687, 2635, 8937, 4551, 1223, 581, 8380, 873, 693, 1981, 540, 3384, 10447, 267, 8377, 543, 11959, 2663, 593, 267, 513, 14262, 9721, 1353, 5267, 563, 290, 1251, 2861, 3173, 1031, 4359, 5027, 15971, 585, 519, 1101, 942, 547, 2697, 543, 1293, 8937, 18508, 538, 29507, 563, 763, 5888, 538, 519, 8937, 540, 12256, 5701, 609, 3376, 1606, 1051, 5300, 11216, 729, 1336, 547, 581, 1869, 12012, 5216, 4374, 1310, 2126, 563, 4407, 11216, 723, 10710, 1082, 2729, 267, 19249, 8937, 26168, 1360, 2038, 538, 1272, 1223, 723, 513, 2942, 1198, 593, 1646, 540, 519, 4761, 1062, 267, 7133, 1279, 3856, 1072, 563, 14722, 3494, 519, 1382, 2306, 519, 2013, 585, 1210, 811, 6098, 267, 7522, 1606, 1051, 5300, 11216, 547, 1521, 12256, 936, 519, 20125, 2009, 942, 563, 2005, 6743, 693, 8370, 12256, 5701, 609, 32326, 18041, 27957, 270, 7217, 25271, 514, 530, 328, 6253, 514, 476, 4366, 3108, 540, 4332, 936, 513, 1079, 18881, 1974, 563, 763, 9002, 685, 16063, 18508, 729, 3379, 547, 8370, 12256, 945, 4607, 1100, 11216, 563, 4263, 2185, 4374, 267, 6225, 4551, 267, 1519, 536, 604, 573, 27627, 543, 14915, 984, 659, 650, 328, 267, 941, 3648, 4389, 538, 519, 5701, 1895, 269, 4014, 519, 2338, 536, 6407, 1394, 676, 519, 1353, 779, 1439, 267, 519, 2249, 685, 4763, 1705, 711, 563, 763, 1353, 729, 7873, 268, 10631, 539, 676, 3744, 538, 519, 1325, 21747, 14997, 629, 8438, 10418, 538, 2160, 5441, 595, 1251, 267, 595, 1251, 2160, 631, 24471, 11233, 267, 543, 1855, 698, 2444, 18703, 335, 1046, 5253, 3194, 10418, 538, 674, 1069, 1195, 563, 21893, 568, 519, 1101, 15971, 2861, 1353, 547, 6542, 519, 2942, 2360, 540, 2110, 3856, 15084, 2126, 593, 519, 6225, 8937, 4551, 5095, 538, 12256, 2437, 1767, 1291, 2278, 21965, 853, 13550, 517, 689, 1855, 698, 2444, 563, 257, 3528, 19249, 519, 8937, 26168, 543, 3976, 519, 4761, 1062, 1360, 2038, 538, 1272, 267, 519, 11216, 1223, 11874, 3310, 1279, 3856, 1072, 267, 3226, 676, 2810, 519, 1981, 540, 3384, 10447, 267, 14711, 267, 543, 8377, 563, 10454, 1981, 568, 15398, 676, 519, 1249, 602, 519, 15084, 12454, 17522, 540, 519, 26168, 2501, 693, 513, 942, 950, 713, 2551, 568, 538, 4028, 13441, 543, 666, 3362, 581, 796, 29446, 4799, 292, 697, 4374, 1310, 519, 12256, 941, 5701, 609, 11216, 267, 519, 4763, 540, 16063, 18508, 7283, 21022, 267, 4352, 519, 1297, 540, 1367, 4551, 729, 1394, 547, 3339, 563, 8170, 1880, 6161, 729, 519, 4527, 540, 513, 5732, 2068, 27351, 6748, 4551, 538, 5701, 12256, 563, 2005, 729, 15458, 267, 2705, 267, 2436, 519, 4551, 1185, 856, 326, 3497, 519, 6225, 3283, 1317, 741, 2551, 1185, 6738, 610, 1317, 519, 1866, 1185, 695, 337, 6064, 563, 4913, 267, 3220, 853, 656, 517, 1767, 519, 1239, 6700, 519, 5732, 5739, 4551, 1185, 2799, 693, 519, 13258, 540, 519, 6225, 3283, 543, 602, 13615, 538, 609, 3105, 1382, 563, 763, 1353, 267, 1710, 2331, 676, 3163, 7690, 8581, 543, 519, 4972, 540, 11982, 267, 5253, 267, 543, 13149, 267, 729, 3370, 538, 519, 4760, 4165, 574, 17853, 3397, 757, 543, 6314, 8839, 563, 288, 2147, 2185, 4458, 1788, 267, 23862, 5471, 267, 849, 14102, 676, 519, 4972, 540, 11982, 267, 568, 3168, 693, 519, 8937, 1646, 540, 476, 1911, 6089 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 15604, 888, 2691, 621, 2501, 547, 674, 525, 26443, 6371, 267, 5162, 568, 519, 6305, 942, 585, 2208, 269, 1677, 2327, 602, 707, 15989, 13978, 2635, 543, 18932, 267, 621, 779, 1271, 547, 6992, 1125, 609, 513, 3500, 5305, 13226, 269, 901, 13226, 1058, 2270, 9436, 267, 16903, 267, 543, 11379, 1107, 782, 1898, 5567, 585, 707, 6371, 269, 5269, 2386, 547, 4019, 519, 13226, 14961, 936, 519, 3003, 15989, 543, 1216, 19952, 547, 948, 621, 10110, 519, 5567, 269, 1280, 606, 1256, 22928, 1267, 267, 2119, 1210, 606, 5214, 610, 2067, 13226, 2336, 3719, 1810, 1406, 7340, 281, 1310, 7311, 13226, 267, 596, 991, 547, 7227, 693, 2547, 1079, 4374, 1354, 9544, 1007, 6371, 6079, 269, 901, 786, 2285, 707, 15989, 2614, 942, 547, 10110, 519, 8770, 11656, 13226, 543, 1711, 513, 2178, 5748, 585, 2635, 2208, 563, 3383, 1810, 1406, 7340, 713, 4105, 1900, 538, 2921, 1416, 540, 707, 674, 525, 26443, 6371, 713, 5162, 2336, 5475, 31896, 23420, 23268, 267, 1548, 5516, 568, 10261, 539, 585, 21988, 12618, 888, 16352, 513, 18932, 543, 2635, 15989, 568, 1945, 649, 782, 11441, 585, 256, 1809, 621, 779, 711, 607, 2241, 607, 1175, 9544, 6371, 6079, 1107, 972, 616, 1896, 3268, 596, 991, 547, 1491, 547, 2327, 3811, 2208, 269, 3371, 616, 930, 4388, 593, 875, 547, 5265, 1416, 585, 707, 9241, 12630, 6371, 1310, 13226, 814, 1044, 4294, 912, 1892, 16259, 519, 3037, 676, 512, 3739, 543, 9427, 1022, 18047, 1354, 9544, 563, 1892, 24619, 519, 6079, 14961, 936, 519, 1858, 543, 21066, 3382, 609, 3037, 563, 1892, 4826, 5781, 267, 855, 711, 1932, 1454, 267, 607, 713, 666, 2014, 9044, 543, 2068, 563, 1892, 10670, 544, 12976, 950, 519, 6371, 10301, 476, 274, 6279, 538, 4463, 267, 544, 578, 5781, 547, 1832, 621, 2635, 543, 2061, 18290, 2208, 563, 1892, 1403, 2556, 267, 4019, 513, 18290, 20740, 547, 1852, 1022, 18047, 602, 723, 7153, 1310, 9544, 563, 1892, 5213, 1406, 7340, 547, 6992, 1125, 256, 674, 525, 26443, 6371, 1058, 581, 6992, 1242, 609, 513, 3500, 5305, 13226, 5627, 9436, 267, 16903, 267, 543, 11379, 538, 5162, 585, 6099, 2208, 269, 27016, 693, 2547, 1079, 4374, 1354, 9544, 1007, 6371, 6079, 1310, 7311, 13226, 563, 3528, 1739, 891, 3268, 267, 596, 3580, 581, 1134, 593, 707, 1259, 547, 2348, 513, 4190, 15989, 602, 786, 2063, 585, 1296, 2336, 1692, 2052, 594, 5269, 3733, 1715, 569, 1773, 5896, 23420, 22320, 674, 2120, 888, 16352, 513, 18932, 267, 3039, 15989, 568, 519, 679, 11803, 540, 1082, 21427, 269, 1809, 3478, 972, 3340, 513, 2370, 3787, 540, 960, 543, 1702, 269, 3371, 616, 930, 4388, 547, 948, 596, 1711, 519, 3501, 15989, 912, 1892, 16259, 519, 3037, 1354, 9544, 269, 4530, 519, 9063, 1377, 540, 707, 3037, 543, 1039, 5214, 1570, 899, 11003, 610, 23226, 547, 2087, 8770, 1543, 538, 519, 3037, 269, 570, 650, 610, 513, 4733, 621, 547, 2327, 1697, 12775, 543, 3597, 2208, 563, 1892, 7233, 707, 6371, 693, 519, 1318, 942, 540, 1032, 269, 24953, 4005, 21823, 1058, 581, 12630, 538, 3735, 5614, 610, 2038, 4832, 267, 1247, 3579, 4005, 21823, 1058, 581, 12630, 538, 3735, 4832, 610, 2038, 2887, 563, 1892, 4826, 5781, 543, 7184, 269, 23420, 2115, 827, 476, 272, 10759, 540, 1216, 829, 3018, 267, 855, 713, 666, 4268, 4470, 593, 4365, 2175, 543, 824, 2188, 269, 4826, 7184, 543, 1102, 18526, 547, 5000, 2620, 3597, 2208, 543, 10980, 4187, 563, 1892, 674, 23459, 1125, 14013, 269, 2422, 513, 13226, 602, 568, 4481, 2966, 585, 1876, 985, 267, 1739, 5528, 5402, 593, 3498, 2557, 543, 4908, 269, 3680, 936, 325, 23459, 1944, 607, 713, 666, 1291, 547, 14432, 32005, 24124, 2208, 543, 2799, 18290, 2042, 563, 4322, 3268, 786, 948, 596, 1711, 513, 2635, 15989, 602, 786, 2063, 585, 1296, 547, 2097, 2336, 17730, 513, 18932, 267, 3039, 15989, 3085, 1406, 723, 547, 581, 606, 7543, 4305, 269, 2060, 519, 1318, 4999, 540, 5214, 543, 22803, 2326, 267, 1697, 7041, 543, 1416, 267, 596, 666, 723, 513, 4190, 5251, 538, 1100, 942, 256, 674, 23459, 1944, 543, 694, 5338, 707, 15989, 568, 1883, 547, 2870, 513, 2635, 1604, 585, 707, 6371, 269, 634, 1655, 942, 547, 4019, 13226, 1354, 694, 5338, 568, 538, 519, 5614, 610, 2887, 267, 1210, 513, 1769, 3498, 865, 607, 711, 547, 3441, 9241, 12630, 19155, 269, 3958, 267, 621, 568, 1271, 547, 2638, 543, 4188, 707, 3037, 779, 9063, 1377, 607, 2556, 563, 2414, 1711, 519, 3501, 15989, 267, 596, 991, 547, 3442, 519, 1318, 6371, 2249, 585, 707, 1858, 267, 5965, 519, 3037, 676, 9427, 1022, 18047, 543, 512, 3739, 621, 267, 3262, 519, 6079, 14961, 2066, 519, 2627, 267, 21066, 3382, 609, 3037, 267, 1216, 5781, 1510, 936, 4777, 532, 621, 630, 1372, 788, 569, 2614, 602, 519, 1216, 10301, 1524, 476, 274, 268, 275, 6279, 1070, 6992, 1125, 14013, 630, 293, 525, 26443, 6371, 1058, 581, 6992, 1242, 609, 513, 3500, 5305, 13226, 5627, 9436, 267, 16903, 543, 11379, 538, 5162, 1070, 543, 544, 578, 950, 519, 6371, 10301, 476, 274, 6279, 538, 4463, 563, 3528, 1739, 891, 3268, 5402, 596, 666, 2327, 602, 707, 1007, 15989, 4991, 1055, 547, 513, 1434, 1376, 269, 20613, 1746, 693, 2547, 1079, 4374, 1310, 7311, 13226, 1354, 9544, 6371, 6079, 786, 849, 948, 2327, 2635, 2208, 269, 2060, 9639, 543, 11428, 596, 666, 723, 513, 4190, 15989, 602, 786, 2063, 585, 1296, 256, 0, 9596, 13229, 18467, 547, 21561, 4826, 16242, 9453, 513, 27124, 269, 11822, 10298, 585, 8899, 16242, 12983, 269, 28389, 2659, 4826, 10046, 3767, 2336, 4462, 6674, 519, 11580, 547, 20993, 1216, 2604, 1510, 519, 991, 585, 513, 6802, 269, 10812, 938, 3102, 3391, 593, 2810, 1216, 2604, 24672, 538, 707, 1753, 269, 13028, 4052, 4388, 543, 2653, 3562, 17000, 3268, 538, 2312, 2296, 267, 4180, 513, 31484, 548, 6954, 3070, 585, 4824, 1216, 2095, 269, 17166, 1434, 25742, 547, 1970, 1216, 2604, 2152, 609, 938, 4274, 5796, 563, 1692, 547, 21561, 4826, 16242, 1510, 513, 27124, 454, 12850, 2604, 4249, 513, 2629, 1909, 538, 1585, 3344, 540, 938, 3232, 2729, 267, 689, 2596, 7622, 2238, 547, 4853, 3157, 269, 29615, 12930, 1216, 2604, 5849, 519, 3608, 8647, 540, 21818, 1949, 267, 8992, 2500, 1216, 3892, 267, 543, 10597, 519, 2949, 3593, 1995, 269, 6787, 621, 779, 585, 513, 24253, 17643, 267, 1697, 12555, 267, 610, 6325, 5106, 540, 14233, 267, 4509, 6099, 1216, 2604, 568, 4105, 585, 519, 10342, 543, 13418, 540, 938, 5321, 543, 4213, 563, 8139, 4826, 16242, 454, 12850, 2604, 568, 519, 3196, 25116, 676, 1216, 6675, 1996, 519, 6821, 540, 12992, 267, 26892, 267, 543, 824, 7252, 1369, 513, 21818, 1062, 269, 898, 568, 513, 2565, 5057, 540, 3608, 1216, 3892, 543, 6165, 563, 19187, 1216, 2604, 5849, 602, 1216, 10301, 922, 5497, 18353, 693, 519, 1318, 2095, 2557, 267, 14123, 1585, 7622, 543, 4853, 2238, 269, 4197, 519, 6384, 540, 1216, 2604, 568, 1898, 585, 4509, 513, 6198, 543, 6325, 1216, 3761, 563, 26502, 14118, 9760, 4826, 16242, 454, 24836, 6143, 281, 32322, 4249, 513, 4909, 1909, 538, 8159, 1216, 2604, 269, 769, 513, 21818, 1062, 267, 1216, 8928, 689, 2362, 547, 2539, 6173, 725, 267, 609, 8904, 12018, 519, 3196, 543, 3432, 540, 519, 1216, 269, 901, 14965, 7485, 568, 513, 1883, 3815, 538, 2870, 519, 2556, 2604, 585, 1216, 547, 2951, 998, 12992, 543, 3914, 922, 10278, 563, 292, 4582, 566, 281, 634, 15038, 540, 513, 4087, 3448, 547, 519, 1216, 2707, 5540, 1216, 2604, 269, 1306, 1216, 7575, 15081, 650, 267, 621, 13341, 2799, 4187, 1996, 8904, 267, 4611, 538, 513, 6175, 538, 2604, 269, 17957, 267, 607, 1216, 1784, 1742, 610, 7575, 547, 2539, 6173, 725, 267, 519, 14965, 3196, 11226, 538, 4509, 610, 1256, 2810, 2604, 563, 303, 6559, 18924, 2678, 543, 20099, 281, 634, 8006, 543, 3259, 540, 12992, 538, 513, 21818, 1062, 3648, 1764, 1216, 2604, 269, 715, 5535, 12992, 543, 3476, 9883, 666, 3565, 547, 11508, 543, 4187, 267, 3056, 547, 513, 6749, 538, 2604, 269, 4197, 519, 3741, 540, 5714, 6384, 2337, 538, 8939, 3617, 10612, 7306, 543, 19383, 547, 2226, 6099, 1216, 2604, 2429, 519, 1062, 563, 12850, 11905, 27519, 281, 634, 4390, 540, 519, 1216, 2707, 267, 971, 607, 513, 18513, 3761, 610, 1134, 267, 7506, 2949, 1216, 2604, 269, 1403, 519, 2707, 3112, 1683, 606, 7850, 4320, 540, 1216, 547, 2743, 3747, 267, 2604, 949, 581, 19847, 269, 11790, 899, 3747, 15088, 267, 1062, 4390, 267, 543, 519, 4527, 540, 1216, 4859, 3435, 849, 1404, 513, 1909, 538, 8159, 1216, 2604, 2157, 563, 29819, 540, 8899, 4826, 16242, 454, 32575, 5871, 12580, 454, 28403, 1944, 519, 4191, 540, 1970, 1216, 2604, 568, 2629, 585, 5466, 2152, 16425, 269, 5871, 2589, 1331, 3500, 1216, 2095, 689, 31316, 1115, 610, 29636, 267, 4617, 1216, 6908, 538, 14233, 899, 11067, 6191, 267, 543, 7411, 11423, 11149, 3533, 563, 12234, 267, 2011, 838, 32211, 689, 512, 2355, 610, 12150, 2095, 3270, 616, 22566, 540, 1761, 2042, 609, 1216, 2604, 269, 1635, 1373, 21713, 547, 891, 2589, 267, 21427, 666, 2697, 543, 2232, 1970, 1216, 2604, 1354, 621, 3648, 5222, 3232, 2238, 563, 25842, 593, 5600, 3835, 11242, 454, 20181, 1216, 2604, 666, 3648, 17225, 1585, 7622, 2238, 267, 7133, 1312, 4313, 543, 10342, 269, 1744, 1077, 532, 949, 1831, 1447, 17598, 609, 4389, 1216, 2095, 267, 543, 11067, 8286, 610, 9660, 949, 1491, 3476, 1813, 547, 16283, 2604, 538, 31316, 1115, 543, 14233, 563, 290, 8504, 543, 7738, 4247, 949, 849, 581, 19847, 267, 18363, 519, 2949, 4398, 543, 13418, 540, 3232, 13467, 269, 4197, 519, 6286, 540, 1970, 1216, 2604, 19156, 519, 2956, 540, 4509, 6099, 2157, 585, 513, 15774, 543, 11791, 2713, 1604, 563, 27735, 540, 18601, 8899, 4826, 16242, 454, 11754, 7675, 1970, 1216, 2604, 568, 1898, 547, 2061, 2417, 8374, 543, 28842, 7891, 269, 769, 1228, 12930, 2604, 666, 8833, 21818, 26892, 543, 14233, 267, 3056, 547, 16349, 5957, 543, 15237, 563, 11101, 267, 1970, 2604, 949, 581, 513, 10835, 540, 5817, 2152, 267, 971, 607, 20984, 267, 3625, 1137, 267, 610, 1062, 23659, 17313, 267, 799, 267, 952, 2451, 796, 3430, 2105, 267, 666, 1267, 538, 811, 1713, 3441, 543, 14427, 18203, 269, 1160, 5562, 8446, 543, 6571, 540, 1970, 1216, 2604, 711, 1152, 2327, 513, 12347, 4881, 7622, 855, 849, 3565, 547, 519, 15325, 543, 4398, 540, 519, 21818, 1062, 563, 10267, 9535, 585, 2274, 6545, 454, 268, 10439, 6184, 18936, 281, 10670, 676, 11617, 8524, 532, 782, 7298, 12992, 267, 10549, 267, 543, 4296, 585, 1022, 4191, 540, 1216, 20984, 269, 6733, 585, 1216, 25859, 267, 14927, 1145, 267, 610, 9044, 2208, 267, 607, 891, 949, 5815, 6456, 20984, 563, 268, 6744, 674, 14072, 1115, 543, 674, 4869, 999, 281, 25826, 31316, 1115, 267, 17643, 21650, 267, 543, 824, 26892, 585, 7298, 20984, 610, 5671, 1186, 269, 570, 697, 523, 1022, 10690, 4296, 543, 5372, 12816, 13050, 729, 1667, 610, 575, 2532, 1115, 563, 268, 631, 2678, 7335, 281, 12414, 1055, 782, 1216, 268, 6748, 14233, 543, 26892, 267, 1287, 2638, 519, 1216, 11281, 269, 1403, 519, 11281, 568, 1869, 4881, 267, 621, 5267, 513, 1761, 6456, 13451, 269, 18554, 519, 11281, 585, 1022, 3350, 1282, 5712, 950, 1216, 568, 711, 8362, 1373, 1031, 563, 11900, 1051, 532, 1773, 17741, 674, 4869, 999, 454, 268, 17179, 17224, 2209, 281, 20767, 2939, 543, 11935, 666, 18645, 538, 31316, 564, 7098, 2209, 267, 7133, 1216, 2095, 269, 17179, 543, 2973, 7098, 2209, 267, 4180, 19727, 24071, 1216, 8574, 563, 268, 6744, 585, 1849, 9233, 281, 25826, 16173, 543, 17643, 28368, 585, 1022, 7298, 804, 9233, 269, 2422, 513, 32168, 518, 610, 513, 8963, 13131, 547, 4894, 3625, 1137, 602, 949, 581, 28142, 1216, 2095, 563, 268, 28018, 16242, 7304, 14445, 532, 4406, 557, 281, 1403, 707, 21818, 1062, 814, 513, 2604, 3146, 706, 1424, 11896, 267, 2638, 922, 4259, 269, 17797, 621, 607, 2877, 547, 2327, 621, 568, 711, 12145, 1216, 2604, 811, 982, 2556, 563, 24066, 15070, 519, 6301, 4826, 18242, 454, 268, 1744, 583, 14114, 742, 4406, 557, 6184, 18936, 281, 700, 11229, 519, 1292, 9505, 11325, 11896, 543, 2327, 621, 568, 4628, 1930, 269, 1403, 519, 11896, 568, 13148, 6806, 267, 621, 666, 6615, 1216, 2095, 883, 519, 2777, 563, 268, 16242, 4530, 281, 18430, 513, 2241, 2604, 1449, 676, 1140, 2286, 513, 2604, 15378, 547, 606, 9205, 31316, 564 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 706, 576, 10857, 10033, 1101, 267, 2034, 281, 535, 262, 346, 14140, 9574, 2715, 16149, 348, 3299, 1582, 269, 12407, 4394, 994, 2018, 713, 6831, 1712, 815, 535, 262, 346, 1345, 20508, 12917, 346, 10472, 318, 12407, 4394, 11468, 6352, 263, 10472, 318, 12407, 4394, 13580, 16585, 7055, 1038, 3116, 912, 2018, 713, 6831, 1712, 815, 535, 262, 346, 1345, 20508, 348, 3890, 7055, 1038, 2132, 713, 6831, 1712, 454, 0, 5814, 1770, 11687, 692, 5228, 2132, 6958, 4233, 1104, 17776, 31262, 7531, 5035, 4530, 27987, 31262, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1449, 318, 8873, 6958, 4233, 4311, 2187, 1038, 1582, 27863, 18692, 2018, 17776, 31262, 3488, 8873, 4756, 1267, 8339, 20889, 3890, 1040, 13892, 2676, 2018, 1412, 8873, 1267, 5073, 1038, 1582, 27863, 18692, 2018, 17776, 31262, 3488, 8873, 5569, 1267, 568, 8120, 8339, 20889, 3890, 1040, 13892, 2676, 2018, 1412, 8873, 1422, 262, 14310, 568, 8120, 315, 5257, 9239, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1770, 11687, 6230, 664, 3890 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 302, 24810, 5590, 25557, 10055, 454, 1432, 568, 606, 24722, 5590, 25557, 10055, 888, 2304, 4013, 11175, 2272, 568, 513, 2027, 1826, 540, 2272, 1031, 538, 3486, 3666, 540, 11033, 630, 22517, 303, 264, 8051, 547, 3950, 519, 8852, 540, 15395, 7221, 540, 3844, 8492, 1851, 2933, 269, 634, 4013, 11175, 2272, 13475, 8852, 5473, 4154, 267, 4914, 5385, 14425, 267, 4871, 12074, 543, 2027, 5373, 2924, 630, 306, 11403, 338, 1916, 29973, 569, 267, 713, 1826, 540, 2272, 8952, 3950, 540, 8852, 1644, 547, 3486, 14425, 543, 3844, 4871, 7221, 602, 616, 11843, 1063, 6082, 547, 7017, 513, 3666, 540, 11033, 17211, 610, 21045, 563, 7659, 2798, 547, 3314, 454, 268, 1323, 4013, 11175, 2272, 568, 1031, 547, 3950, 543, 2594, 519, 3486, 3666, 540, 11033, 1063, 3844, 8492, 563, 268, 898, 568, 1031, 547, 7017, 19132, 540, 7221, 543, 2518, 13075, 14425, 602, 32694, 1063, 519, 3844, 8492, 540, 6082, 563, 268, 18831, 1413, 547, 891, 6589, 547, 6895, 3854, 856, 6503, 338, 543, 1102, 869, 338, 547, 543, 689, 824, 2477, 563, 8139, 4013, 11175, 6589, 454, 302, 24810, 11175, 6589, 616, 1031, 538, 3486, 3666, 540, 11033, 8051, 543, 2099, 519, 1699, 2272, 543, 3854, 2272, 540, 3844, 8492, 269, 634, 1699, 2272, 5638, 513, 2197, 779, 20558, 543, 18666, 540, 5370, 267, 2533, 267, 4747, 267, 543, 19132, 267, 543, 6920, 2436, 519, 2197, 568, 513, 2121, 3841, 3218, 610, 513, 2121, 7963, 528, 269, 634, 3854, 2272, 5638, 519, 1689, 538, 4914, 543, 6469, 5092, 267, 1857, 24228, 543, 4357, 5823, 24228, 269, 1879, 972, 568, 513, 17211, 610, 513, 21045, 538, 519, 3666, 540, 11033, 267, 1102, 869, 338, 610, 856, 6503, 338, 540, 15395, 7221, 3142, 519, 2489, 24432, 1394, 547, 11466, 269, 901, 568, 6592, 538, 519, 4013, 11175, 2272, 563, 763, 7813, 585, 4139, 5590, 1479, 906, 630, 289, 3041, 264, 568, 606, 3486, 2883, 9872, 602, 6663, 547, 3895, 2518, 13075, 543, 2883, 6617, 543, 15387, 23388, 540, 4013, 11175, 6589, 269, 634, 645, 3041, 568, 3006, 5219, 547, 607, 519, 968, 25218, 4871, 540, 3844, 8492, 892, 1317, 621, 2488, 12948, 2533, 547, 5238, 971, 607, 519, 3864, 6239, 7813, 543, 519, 8549, 15944, 563, 9199, 9535, 606, 24722, 5590, 25557, 10055, 454, 301, 725, 1832, 606, 3750, 593, 519, 4013, 11175, 2272, 547, 2708, 741, 2804, 1072, 538, 519, 2518, 4346, 269, 1403, 972, 616, 31934, 856, 6503, 338, 540, 15395, 7221, 585, 513, 2197, 267, 713, 1797, 602, 922, 28211, 538, 6721, 29633, 5370, 568, 5266, 1970, 267, 610, 602, 922, 1870, 1604, 568, 711, 607, 10694, 607, 602, 6035, 676, 1866, 269, 2197, 585, 4914, 1463, 5092, 563, 288, 4182, 609, 5312, 1699, 2272, 22907, 666, 1287, 25666, 3609, 1095, 18587, 547, 2087, 519, 2298, 540, 922, 2472, 585, 13143, 610, 3343, 5385, 2557, 11941, 547, 1118, 741, 18666, 811, 3902, 8013, 269, 898, 666, 849, 2119, 547, 1711, 1732, 2175, 585, 3486, 3549, 3168, 547, 1628, 1007, 15327, 13383, 269, 12525, 15314, 267, 5989, 3785, 543, 812, 12741, 2866, 3292, 1223, 581, 9415, 676, 513, 2197, 547, 4308, 609, 13311, 856, 6503, 338, 6592, 538, 922, 4013, 11175, 2272, 269, 0, 763, 5767, 3573, 2963, 1759, 1353, 689, 519, 3703, 4750, 540, 12594, 20147, 602, 1418, 1227, 6738, 7031, 2270, 3648, 2362, 2157, 540, 5567, 543, 14434, 282, 543, 2539, 2157, 540, 20017, 26606, 267, 6491, 1679, 543, 13851, 269, 22702, 609, 3140, 2090, 713, 1353, 8507, 538, 811, 6325, 8753, 563, 19547, 624, 762, 13851, 616, 2185, 2053, 2362, 538, 6671, 7031, 269, 22500, 814, 519, 5207, 23561, 4908, 1107, 476, 4037, 260, 3379, 609, 5388, 693, 476, 3953, 9077, 4061, 952, 596, 666, 6488, 5214, 4829, 596, 786, 581, 3648, 2810, 707, 14434, 543, 13302, 707, 23561, 4452, 563, 3383, 952, 5214, 814, 2362, 14434, 1018, 1281, 713, 1611, 286, 4165, 9171, 1218, 9243, 1047, 1863, 18119, 7303, 873, 689, 14124, 2281, 799, 14014, 721, 689, 5312, 2068, 543, 1978, 11871, 563, 2414, 1265, 856, 811, 979, 547, 8940, 269, 31542, 817, 27937, 3820, 0, 309, 4314, 532, 18618, 6794, 568, 513, 1826, 540, 31761, 269, 898, 781, 849, 1572, 7106, 8960, 18618, 6794, 267, 543, 621, 4523, 950, 972, 781, 513, 2530, 540, 835, 4816, 538, 513, 2789, 6379, 269, 15394, 621, 4386, 2038, 538, 6379, 543, 3322, 519, 2530, 540, 835, 18618, 267, 1247, 519, 824, 18618, 3470, 1161, 563, 763, 19341, 5160, 689, 519, 642, 4314, 532, 18618, 568, 2356, 12842, 676, 519, 3993, 543, 519, 17005, 4816, 269, 27824, 569, 630, 604, 519, 2530, 4523, 1310, 476, 1321, 4374, 950, 7633, 616, 2907, 4646, 1070, 519, 21565, 3587, 24609, 539, 538, 519, 29897, 17011, 543, 568, 4362, 1282, 6765, 269, 901, 568, 1572, 513, 834, 325, 28127, 13099, 344, 15869, 639, 1701, 769, 1360, 4686, 2665, 267, 519, 17005, 4816, 3217, 593, 930, 540, 519, 4503, 18618, 781, 2281, 543, 3587, 513, 16403, 5028, 1107, 835, 1268, 609, 1079, 5036, 540, 5027, 563, 1432, 568, 513, 26220, 18618, 888, 288, 26220, 18618, 568, 20775, 547, 642, 4314, 532, 18618, 6794, 269, 898, 781, 513, 1826, 540, 8580, 334, 1441, 18618, 602, 4523, 950, 835, 9838, 18618, 13515, 3384, 2038, 593, 269, 1306, 513, 1267, 267, 621, 781, 711, 4625, 4646, 543, 568, 7923, 547, 519, 1071, 2389, 7773, 269, 9521, 824, 8580, 334, 1441, 21054, 945, 1312, 723, 2919, 12058, 543, 616, 1142, 8647, 267, 519, 896, 16467, 539, 26220, 18618, 568, 4625, 8200, 593, 519, 1071, 2389, 7773, 630, 21406, 519, 8789, 18618, 264, 543, 3112, 7639, 593, 922, 1378, 563, 763, 17005, 18618, 949, 581, 4535, 609, 5160, 610, 17873, 689, 519, 26220, 18618, 7923, 547, 621, 269, 13880, 673, 8851, 568, 2556, 1310, 4332, 563, 13640, 553, 12792, 21054, 616, 1360, 4686, 267, 9648, 538, 827, 835, 856, 540, 1169, 2929, 24570, 563, 1692, 1455, 568, 642, 4314, 532, 18618, 6794, 888, 309, 4314, 532, 18618, 6794, 568, 7168, 1455, 269, 898, 4386, 538, 827, 476, 3607, 2600, 540, 18618, 26691, 267, 827, 3368, 540, 26691, 609, 1614, 610, 811, 24201, 267, 543, 827, 476, 736, 547, 476, 1789, 2600, 540, 26691, 6913, 609, 19443, 10285, 2029, 630, 11286, 1916, 309, 4314, 532, 21054, 723, 1044, 5051, 13006, 2094, 519, 2834, 946, 540, 16953, 267, 855, 972, 949, 581, 1082, 811, 2665, 1317, 519, 6794, 666, 4755, 1360, 2038, 593, 267, 1256, 1354, 513, 1101, 16953, 563, 21618, 540, 642, 4314, 532, 18618, 6794, 454, 7197, 540, 519, 942, 267, 513, 18618, 786, 642, 4314, 1510, 2589, 267, 855, 3006, 972, 786, 581, 31761, 2589, 267, 971, 607, 912, 27246, 540, 642, 4314, 532, 18618, 6794, 454, 29995, 649, 1810, 1405, 917, 1018, 3123, 642, 4314, 532, 18618, 6794, 267, 855, 2188, 1522, 1331, 912, 268, 11628, 14774, 2085, 630, 1478, 476, 3374, 264, 630, 1607, 949, 3274, 581, 1317, 2789, 26691, 616, 811, 2693, 538, 4587, 2021, 8094, 268, 26537, 23865, 17244, 538, 519, 8709, 1639, 18618, 454, 268, 2422, 540, 19443, 10285, 2553, 454, 268, 9540, 30302, 610, 824, 726, 659, 1581, 17244, 454, 1692, 786, 594, 917, 952, 594, 723, 513, 642, 4314, 532, 18618, 888, 7197, 1419, 513, 642, 4314, 532, 18618, 568, 8995, 1282, 606, 16953, 269, 15380, 267, 707, 1101, 16953, 1131, 3713, 1079, 630, 528, 811, 264, 29556, 5485, 338, 610, 1079, 24201, 267, 543, 596, 9364, 581, 5143, 596, 2811, 8876, 21054, 269, 2311, 513, 2663, 16953, 267, 1498, 267, 835, 540, 519, 2295, 2041, 1846, 1107, 610, 21872, 610, 19341, 5485, 1107, 9327, 1405, 581, 1336, 269, 6884, 267, 1152, 835, 21565, 1131, 581, 2938, 1369, 513, 29556, 5485, 267, 543, 519, 824, 1131, 581, 8900, 630, 528, 723, 513, 21565, 1510, 513, 26470, 1916, 305, 732, 569, 267, 513, 642, 4314, 532, 18618, 3884, 1405, 4362, 2394, 1310, 6765, 267, 950, 19341, 5160, 689, 519, 642, 4314, 532, 18618, 568, 7298, 538, 519, 30302, 630, 528, 593, 519, 17005, 18618, 264, 1310, 621, 781, 9447, 563, 309, 4314, 532, 18618, 6794, 2126, 454, 29995, 1100, 2126, 568, 2556, 585, 596, 610, 707, 4816, 950, 642, 4314, 532, 18618, 6794, 4386, 538, 519, 1101, 959, 30478, 563, 2252, 621, 4386, 538, 519, 2034, 610, 3791, 959, 30478, 267, 707, 6379, 949, 581, 2808, 1164, 1981, 269, 2659, 27877, 786, 6895, 596, 5702, 585, 4191, 540, 8374, 267, 855, 972, 616, 1100, 1808, 5574, 2016, 585, 642, 4314, 532, 18618, 6794, 563, 309, 4314, 532, 18618, 1764, 593, 17005, 18618, 454, 1103, 1034, 2665, 267, 519, 17005, 18618, 3884, 1405, 11874, 4299, 676, 642, 4314, 532, 18618, 6794, 269, 901, 568, 2523, 3020, 950, 519, 6794, 4523, 538, 519, 1101, 959, 30478, 563, 2252, 642, 4314, 532, 18618, 6794, 4386, 2663, 538, 6379, 267, 2523, 952, 519, 21054, 2671, 835, 30302, 267, 972, 616, 2009, 2360, 593, 17005, 1071, 2389, 342, 1231, 269, 11088, 267, 1034, 17005, 21054, 616, 5386, 267, 4352, 930, 540, 519, 1382, 814, 11329, 547, 606, 2799, 1981, 540, 912, 268, 24583, 13887, 25097, 344, 454, 268, 20031, 1155, 4332, 454, 268, 30123, 1049, 3987, 454, 268, 20031, 1155, 28230, 540, 17011, 630, 303, 15375, 994, 268, 744, 5554, 334, 5139, 1090, 333, 3930, 630, 869, 993, 333, 8438, 5714, 994, 268, 595, 969, 673, 1202, 340, 11797, 454, 268, 2271, 571, 17458, 710, 2208, 19231, 630, 296, 308, 16165, 994, 268, 8899, 4332, 2597, 454, 268, 8899, 7442, 3258, 6060, 454, 268, 17510, 12889, 454, 268, 23862, 2669, 454, 7312, 4387, 786, 6895, 596, 585, 2009, 4191, 540, 1644, 8374, 2429, 707, 6379, 543, 6765, 563, 1432, 568, 519, 1764, 540, 642, 4314, 532, 18618, 593, 3158, 888, 4407, 519, 2168, 1764, 540, 2348, 513, 642, 4314, 532, 18618, 3884, 1405, 2356, 16609, 267, 596, 949, 1265, 3054, 10010, 14156, 563, 23804, 856, 602, 596, 2811, 8876, 21054, 543, 1287, 1373, 5143, 602, 596, 4312, 4503, 835, 540, 873, 666, 581, 1360, 1253, 7675, 269, 1411, 4312, 1185, 513, 31761, 267, 855, 596, 2811, 1869, 9176, 269, 1411, 949, 1745, 16236, 693, 519, 2530, 855, 6126, 602, 596, 2811, 1869, 8876, 513, 17005, 4816, 563, 18704, 707, 4606, 609, 2576, 2673, 543, 5924, 3343, 3318, 948, 269, 32695, 609, 824, 2021, 945, 723, 1185, 513, 642, 4314, 532, 18618, 610, 824, 31761, 1522, 581, 3730, 269, 1411, 1522, 899, 547, 1921, 609, 824, 2021, 2228, 538, 519, 17926, 290, 10938, 2146, 269, 0, 763, 29630, 1014, 15142, 267, 1419, 1572, 519, 29630, 2103, 267, 616, 513, 1062, 540, 10239, 538, 9456, 547, 27040, 3345, 3013, 269, 634, 29630, 2103, 1101, 4646, 10199, 476, 21878, 2929, 1296, 3516, 1282, 519, 18103, 990, 6509, 11270, 563, 7617, 568, 4587, 29630, 2103, 610, 27743, 15142, 888, 20776, 29418, 267, 519, 9412, 625, 616, 1454, 7820, 982, 519, 2144, 10757, 29630, 1014, 15142, 547, 519, 7532, 269, 634, 9412, 625, 941, 4646, 1063, 476, 3199, 543, 476, 4649, 2929, 1296, 3516, 267, 6466, 519, 29630, 2103, 616, 5176, 476, 4335, 2929, 1296, 2025, 563, 7617, 7823, 2039, 568, 519, 9510, 888, 6097, 547, 1034, 3744, 267, 519, 9510, 7823, 2039, 593, 3047, 568, 1572, 519, 4446, 828, 2023, 5682, 7723, 25028, 543, 568, 1336, 538, 3162, 4000, 269, 898, 779, 6059, 602, 519, 2039, 568, 693, 2547, 476, 274, 269, 273, 5479, 630, 13433, 267, 5479, 14386, 1296, 2025, 563, 1432, 779, 519, 9510, 10239, 538, 3345, 3013, 888, 763, 8225, 29630, 1014, 15142, 616, 519, 9510, 10239, 538, 3345, 3013, 269, 4495, 15198, 607, 1164, 607, 519, 32595, 538, 2342, 543, 519, 27743, 15142, 540, 519, 4639, 267, 789, 723, 1044, 12816, 1524, 676, 2067, 11761, 936, 6634, 540, 1296, 267, 8108, 519, 9543, 19527, 649, 1294, 2221, 563, 1432, 568, 519, 1158, 779, 9510, 7823, 2039, 2626, 888, 763, 7984, 1023, 568, 519, 1158, 779, 9510, 31607, 7823, 2039, 269, 1358, 941, 4646, 538, 519, 3735, 3327, 26448, 1974, 267, 950, 513, 11782, 9967, 7361, 540, 27584, 4997, 2458, 3660, 609, 519, 2706, 29657, 602, 8659, 1454, 540, 519, 1158, 779, 2244, 693, 519, 942, 281, 519, 4999, 540, 700, 4768, 14901, 630, 292, 2202, 543, 3345, 3013, 264, 543, 717, 1180, 32272, 563, 31549, 972, 2479, 1044, 513, 7823, 26339, 982, 31231, 560, 888, 300, 870, 1622, 26339, 982, 31231, 560, 2291, 1631, 269, 8575, 10044, 3223, 320, 568, 476, 9610, 271, 7397, 26339, 982, 31231, 560, 269, 31231, 560 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 593, 799, 17633, 941, 3710, 563, 1432, 568, 519, 3487, 1156, 517, 888, 763, 11454, 26621, 519, 15831, 23723, 320, 267, 3710, 593, 519, 3600, 24227, 1657, 18603, 563, 1432, 568, 513, 7242, 888, 288, 2757, 1650, 602, 2337, 547, 2491, 513, 2528, 781, 4978, 563, 1432, 568, 6189, 888, 763, 1148, 540, 8888, 5656, 563, 1432, 568, 17001, 888, 763, 1148, 540, 2870, 1614, 8820, 5515, 689, 2326, 971, 607, 3574, 267, 6149, 267, 543, 10036, 563, 1432, 568, 12416, 888, 763, 1148, 540, 1603, 267, 9117, 538, 267, 543, 6721, 4249, 563, 1432, 568, 6138, 888, 763, 3069, 610, 1305, 540, 2418, 676, 799, 835, 2729, 282, 519, 3406, 585, 7326, 610, 1702, 563, 1432, 729, 519, 19994, 641, 517, 5886, 1014, 2782, 888, 18183, 26555, 1063, 18603, 543, 1975, 21840, 630, 663, 824, 2749, 32145, 264, 689, 476, 32542, 547, 476, 29024, 14514, 563, 8005, 729, 12138, 519, 4279, 888, 763, 14610, 540, 513, 5318, 10504, 689, 24765, 8205, 547, 3127, 538, 519, 476, 4968, 338, 14514, 563, 1432, 729, 24765, 8205, 888, 2304, 3504, 10806, 5087, 540, 10255, 454, 1432, 568, 606, 10504, 888, 288, 1804, 10504, 538, 799, 1896, 2516, 540, 1004, 616, 12199, 676, 513, 2582, 6205, 610, 2229, 563, 1432, 1281, 621, 1611, 547, 6966, 888, 2414, 3442, 2576, 547, 6445, 606, 5604, 610, 2990, 563, 1432, 616, 5259, 19928, 1903, 888, 14813, 26475, 689, 519, 16380, 602, 5540, 721, 2221, 267, 607, 538, 519, 2127, 540, 1893, 267, 2229, 267, 4915, 267, 6128, 267, 543, 2257, 267, 6189, 267, 9913, 267, 543, 5026, 563, 1432, 568, 9511, 888, 763, 7936, 540, 6128, 5473, 267, 2798, 267, 3515, 267, 14742, 267, 543, 5515, 563, 1432, 568, 29978, 888, 288, 2268, 540, 875, 2484, 513, 1747, 593, 3047, 568, 689, 606, 16494, 1899, 602, 8255, 1063, 519, 3345, 543, 3162, 2717, 525, 593, 513, 8608, 563, 1432, 568, 20173, 888, 288, 2268, 540, 875, 2484, 513, 1747, 538, 3047, 568, 689, 519, 20337, 563, 24168, 631, 20846, 9338, 12569, 22244, 17395, 2483, 14532, 1325, 633, 256, 5149, 476, 276, 910, 9147, 10255, 454, 307, 5746, 9147, 10255, 454, 6637, 476, 1839, 270, 2918, 15642, 629, 454, 2419, 476, 1839, 543, 476, 2918, 4938, 629, 563, 30862, 2207, 10323, 4811, 15760, 24199, 595, 3918, 2969, 3036, 454, 26123, 7507, 4530, 5999, 0, 1708, 271, 268, 6349, 268, 2918, 476, 5881, 281, 2537, 10417, 540, 5274, 8447, 12618, 543, 4886, 269, 634, 2165, 1646, 568, 4749, 1031, 2059, 609, 2208, 543, 1256, 2808, 269, 4223, 4851, 568, 811, 2352, 547, 5581, 982, 2208, 269, 634, 27514, 1974, 13408, 267, 593, 519, 3328, 267, 827, 476, 1015, 16264, 3275, 630, 11004, 616, 476, 2764, 2395, 269, 20390, 12412, 269, 5787, 919, 454, 26502, 14118, 9760, 12618, 261, 4886, 12618, 261, 4886, 269, 1411, 616, 513, 10583, 2385, 540, 4816, 12891, 2917, 269, 670, 1229, 3202, 269, 1306, 1200, 3237, 267, 596, 1079, 2285, 12891, 2917, 519, 1101, 3815, 602, 7506, 1200, 2208, 7025, 269, 1411, 11291, 6217, 827, 519, 2085, 1245, 7521, 936, 2470, 5288, 269, 20741, 269, 2208, 543, 1646, 2188, 12018, 454, 26502, 6904, 21478, 5274, 12618, 543, 4886, 269, 7756, 4162, 540, 2208, 543, 1646, 899, 4987, 267, 19038, 6421, 267, 1560, 2497, 267, 4463, 267, 2597, 267, 2681, 540, 4552, 543, 4064, 616, 3810, 6766, 676, 19021, 640, 269, 11557, 281, 11557, 568, 513, 1360, 1271, 3815, 799, 7506, 1480, 2208, 543, 1646, 563, 2467, 616, 1082, 2188, 602, 2047, 3310, 519, 2208, 543, 1646, 540, 513, 1126, 269, 5272, 2385, 1058, 581, 3222, 540, 891, 2798, 269, 589, 1126, 2115, 1312, 2168, 543, 2790, 1489, 585, 1697, 2208, 543, 1646, 269, 4634, 519, 2262, 2208, 543, 1646, 616, 1114, 269, 7216, 6689, 1646, 568, 513, 2629, 3815, 585, 2698, 1272, 269, 2208, 543, 1646, 2188, 12018, 454, 272, 269, 18726, 543, 670, 1229, 640, 2188, 540, 5753, 12618, 543, 4886, 269, 670, 1229, 640, 543, 18726, 2188, 16976, 2450, 261, 3337, 540, 519, 1560, 267, 4061, 1920, 2818, 7703, 11696, 28917, 269, 634, 4162, 616, 10299, 998, 6090, 602, 616, 10257, 585, 1920, 4576, 585, 1383, 3987, 269, 11790, 602, 3310, 1126, 2208, 543, 1646, 269, 17502, 1470, 11296, 2188, 799, 2322, 519, 1665, 593, 2208, 543, 1646, 616, 281, 7254, 3202, 2175, 267, 1585, 26220, 21693, 573, 885, 267, 8027, 267, 2566, 267, 2883, 3510, 269, 589, 8997, 543, 3872, 2188, 901, 2882, 1920, 2916, 269, 4935, 538, 513, 1920, 13856, 676, 9350, 543, 27277, 267, 589, 281, 7025, 2188, 602, 3310, 2208, 543, 1646, 538, 3425, 1331, 6689, 8027, 12417, 267, 1920, 4747, 267, 3872, 3255, 267, 14375, 3347, 543, 7694, 22366, 2188, 267, 2687, 547, 7454, 3399, 267, 14411, 781, 631, 11189, 1715, 9799, 543, 7216, 4132, 4886, 12754, 10418, 269, 2208, 543, 1646, 2188, 12018, 454, 763, 1699, 4891, 1331, 519, 3979, 4886, 7813, 1489, 547, 519, 14502, 543, 15642, 1049, 4065, 543, 9751, 1016, 5823, 267, 6167, 32019, 1489, 547, 519, 9978, 4065, 1016, 5823, 267, 543, 519, 9099, 4886, 7813, 1489, 547, 10026, 2069, 563, 26322, 20871, 602, 6435, 2296, 5678, 22996, 6435, 995, 25103, 585, 19198, 540, 2296, 5678, 22996, 5441, 22512, 518, 3367, 1465, 585, 2296, 5678, 22996, 454, 32153, 4432, 580, 2225, 25890, 630, 303, 4488, 1040, 1715, 3610, 616, 14718, 585, 519, 623, 4488, 2899, 789, 723, 1558, 782, 15930, 4116, 13995, 4170, 543, 1152, 952, 789, 616, 711, 2943, 6964, 676, 513, 15930, 1153, 610, 8664, 269, 9208, 12333, 25890, 594, 630, 9915, 290, 594, 1040, 11334, 616, 14718, 585, 519, 9501, 290, 594, 1310, 7694, 693, 513, 15930, 1857, 1153, 563, 763, 9631, 333, 756, 639, 2069, 3915, 2813, 519, 16506, 12333, 3447, 1807, 13397, 14819, 543, 11621, 8274, 630, 303, 30600, 289, 264, 547, 936, 5408, 543, 2936, 4116, 24416, 585, 519, 1533, 540, 16506, 269, 4595, 5130, 476, 272, 267, 476, 1001, 279, 267, 519, 9021, 5645, 856, 676, 519, 16506, 4972, 540, 4065, 13397, 14819, 10406, 543, 519, 8274, 540, 9752, 941, 19597, 730, 883, 454, 310, 531, 23753, 2961, 335, 1115, 595, 322, 630, 16371, 19255, 264, 25439, 543, 10934, 540, 17372, 281, 476, 273, 14880, 16399, 681, 323, 267, 4024, 578, 2023, 267, 623, 2884, 1069, 541, 6308, 7921, 267, 476, 17168, 272, 267, 3162, 4000, 267, 32765, 1794, 21343, 715, 7614, 267, 6355, 17352, 267, 19901, 1290, 680, 11989, 543, 13158, 902, 585, 2961, 7065, 20958, 619, 261, 13583, 20445, 538, 32765, 1794, 21343, 715, 7614, 269, 13555, 3767, 2336, 763, 476, 4489, 277, 14914, 29547, 538, 476, 1428, 5013, 269, 476, 1428, 4277, 5013, 267, 930, 1134, 1634, 543, 930, 7164, 267, 602, 9034, 1047, 476, 4489, 277, 269, 2353, 3401, 540, 519, 476, 4489, 277, 8375, 5185, 4693, 267, 28465, 941, 13401, 267, 5111, 476, 274, 267, 476, 1822, 811, 2404, 609, 519, 2516, 941, 18486, 269, 19881, 9452, 563, 299, 553, 13394, 340, 523, 857, 553, 632, 3288, 1368, 518, 571, 1583, 333, 3288, 15148, 1075, 514, 678, 25901, 267, 1714, 10841, 523, 810, 14926, 324, 26410, 334, 267, 586, 1212, 7568, 15255, 17680, 564, 553, 6446, 3771, 333, 4412, 545, 807, 3288, 5302, 1495, 320, 1368, 518, 571, 24634, 658, 586, 3288, 1368, 518, 571, 9808, 269, 11968, 4655, 657, 679, 1714, 929, 343, 24982, 7259, 324, 586, 679, 17485, 7195, 4754, 525, 512, 3711, 514, 1201, 548, 13568, 3288, 791, 3224, 320, 632, 3288, 2215, 5028, 1368, 518, 571, 24634, 658, 563, 21659, 582, 6181, 334, 281, 3371, 596, 666, 1404, 31584, 6181, 334, 269, 31584, 6181, 334, 568, 835, 540, 938, 5697, 6181, 334, 10632, 269, 7591, 31584, 6181, 334, 585, 5131, 267, 543, 5620, 8342, 256, 7797, 3014, 607, 7745, 269, 595, 30327, 1867, 540, 7745, 3014, 269, 1715, 10632, 269, 21832, 29553, 3733, 26280, 826, 29553, 3733, 26280, 826, 269, 21832, 670, 1961, 269, 476, 1470, 670, 1961, 269, 476, 1470, 269, 21832, 4639, 3019, 4639, 3019, 563, 3383, 540, 519, 476, 276, 7887, 1239, 4859, 3549, 972, 616, 676, 19614, 267, 621, 4667, 602, 1152, 4880, 1952, 630, 2793, 306, 6395, 304, 281, 24857, 4338, 264, 666, 1683, 9520, 609, 6209, 4598, 547, 1239, 4859, 693, 519, 4090, 269, 2755, 1239, 4859, 14767, 2178, 2208, 538, 519, 4947, 1296, 267, 922, 513, 4101, 2344, 547, 581, 538, 563, 306, 597, 3627, 632, 22757, 603, 267, 519, 17294, 540, 667, 3518, 691, 517, 16836, 267, 20729, 539, 5261, 28615, 538, 476, 9873, 276, 269, 1306, 513, 1267, 267, 28615, 729, 29802, 538, 519, 14500, 269, 25737, 713, 2376, 17292, 513, 2511, 2630, 267, 543, 5299, 519, 1257, 585, 707, 15853, 269, 17090, 9628, 269, 14905, 667, 3518, 691, 517, 630, 18314, 267, 10430, 1916, 13202, 476, 866, 267, 476, 1001, 278, 12409, 3014, 269, 634, 4819, 1590, 2736, 782, 31148, 609, 23385, 540, 519, 2016, 1297, 269, 18527, 546, 3241, 12409, 3014, 585, 476, 273, 5716, 269, 634, 5496, 568, 5258, 538, 1079, 2694, 267, 835, 585, 1142, 6345, 269, 2201, 1312, 2694, 2901, 513, 8691, 630, 272, 560, 3815, 1535, 476, 273, 526, 3815, 264, 610, 513, 1297, 616, 10268, 563, 12914, 476, 6860, 267, 476, 1001, 274, 7591, 17823, 320, 476, 1691, 261, 1306, 24615, 476, 279, 593, 7641, 1210, 28932, 2426, 30982, 8074, 476, 274, 11473, 3095, 538, 13517, 585, 875, 547, 898, 568, 476, 24798, 335, 711, 476, 10482, 271, 335, 865, 2503, 930, 13742, 593, 2539, 12449, 855, 812, 3884, 1405, 621, 3579, 547, 1404, 454, 4517, 4319, 16334, 597, 3650, 267, 14675, 10177, 1188, 281, 634, 2473, 16748, 269, 700, 2969, 12239, 16777, 4696, 299, 2562, 2464, 1412, 288, 638, 16120, 262, 570, 3591, 476, 280, 2412, 28985, 2622, 4204, 282, 590, 3415, 781, 1412, 292, 2675, 1901, 18740, 262, 1133, 331, 4169, 476, 1240, 300, 1546, 8117, 454, 9802, 476, 3066, 267, 476, 1001, 278, 1284, 3142, 547, 596, 3487, 476, 272, 540, 938, 258, 21850, 4629, 9915, 4488, 3582, 5967, 609, 20673, 9851, 267, 15713, 4759, 540, 681, 261, 645, 1895, 543, 2473, 15542, 528, 3803, 1235, 267, 681, 965, 25767, 269, 901, 568, 606, 5393, 967, 3704, 5967, 24223, 513, 2603, 540, 1018, 454, 763, 476, 279, 4375, 764, 2599, 568, 513, 966, 307, 7773, 2203, 543, 621, 7472, 513, 16434, 476, 7830, 7504, 12741, 585, 519, 476, 272, 267, 476, 11740, 335, 895, 3684, 269, 634, 31933, 14258, 1118, 519, 19954, 311, 1175, 1413, 3728, 543, 609, 1919, 899, 1164, 3724, 16295, 533, 3183, 454, 1692, 666, 519, 2626, 581, 4824, 888, 1001, 279, 12429, 781, 4303, 693, 24131, 9835, 22575, 269, 18270, 622, 12429, 781, 4303, 693, 519, 2197, 781, 1034, 11509, 32041, 256, 10566, 19281, 976, 269, 12429, 781, 4303, 11242, 269, 21025, 514, 2917, 10830, 8342, 12700, 269, 12815, 15638, 269, 4825, 841, 543, 667, 1456, 12700, 269, 6301, 32386, 269, 5851, 282, 12429, 781, 4303, 11242, 282, 8278, 19281, 976, 282, 21025, 514, 2917, 10830, 8342, 12700, 3248, 9802, 476, 278, 267, 476, 1001, 279, 634, 772, 269, 590, 269, 5253, 543, 10684, 10029, 630, 293, 6395, 264, 814, 9516, 5800, 7637, 14997, 11914, 338, 262, 1656, 1410, 343, 320, 267, 519, 1101, 3815, 2473, 320, 28166, 1884, 573, 1774, 8612, 585, 2550, 5701, 609, 678, 643, 541, 2135, 629, 534, 630, 311, 28328, 1729, 264, 543, 3284, 1460, 629, 534, 630, 14976, 1172, 529, 1070, 950, 30729, 540, 1884, 4815, 698, 1637, 568, 2877, 1813, 547, 454, 300, 3019, 12700, 1703, 616, 1082, 4277, 5013, 827, 519, 7599, 543, 31851, 602, 616, 666, 581, 4277, 547, 917, 269, 2368, 7599, 5013, 1331, 281, 634, 7599, 568, 711, 513, 4541, 267, 855, 513, 9682, 540, 519, 3047, 269, 634, 2627, 1858, 540, 519, 7599, 568, 476, 1691, 267, 476, 4792, 279, 267, 476, 1822, 4009, 5195, 610, 476, 280, 269, 476, 275, 5479, 14143, 282, 8307, 454, 21659, 667, 10455, 1372, 330, 267, 24138, 2701, 1188, 2401, 269, 2755, 667, 10455, 1372, 330, 781, 1101, 4641, 1397, 593, 24211, 309, 9676, 1864, 3735, 538, 1010, 4876, 607, 513, 3318, 25920, 4580, 518, 267, 9335, 13477, 2841, 3218, 543, 3659, 24138, 2701, 1188, 2401, 630, 2431, 264, 5182, 1042, 593, 606, 24211, 309, 4641, 1397, 29805, 5020, 540, 24138, 267, 799, 12286, 2701, 1188, 2401, 781, 4473, 883, 519, 605, 16034, 269, 0, 2026, 606, 16832, 5057, 540, 19202, 3334, 267, 3965, 13365, 723, 513, 2647, 2039, 540, 3156, 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 ]
[ 0, 288, 15501, 547, 1265, 856, 952, 11612, 7714, 536, 657, 976, 2291, 1862, 14722, 538, 16848, 616, 2679, 513, 3684, 547, 1449, 519, 2462, 29907, 3069, 540, 875, 519, 7122, 3459, 269, 1809, 1101, 789, 723, 547, 4020, 513, 2780, 3060, 602, 666, 6023, 519, 12531, 540, 1239, 519, 3926, 786, 3132, 269, 634, 1007, 267, 811, 3532, 9325, 5787, 1807, 267, 1634, 607, 519, 14066, 16874, 1258, 7502, 3187, 267, 568, 1373, 3710, 693, 595, 30204, 267, 519, 1482, 18230, 8047, 1141, 7033, 12672, 619, 6441, 2465, 2919, 519, 1158, 2647, 1357, 269, 2060, 971, 513, 1907, 267, 3744, 2161, 602, 789, 786, 2901, 581, 2111, 547, 3132, 519, 1482, 5536, 2219, 547, 723, 11478, 950, 519, 7122, 729, 4646, 267, 610, 789, 786, 723, 9863, 602, 971, 5536, 1175, 1810, 1405, 2291, 269, 1809, 1354, 789, 666, 1449, 741, 3069, 267, 519, 3744, 786, 991, 513, 2780, 3060, 5827, 540, 4393, 543, 13936, 519, 7372, 5666, 540, 1239, 602, 786, 2253, 884, 9405, 689, 519, 2458, 3187, 2899, 621, 6238, 1159, 4770, 5536, 1927, 538, 476, 1220, 278, 269, 1306, 513, 1267, 267, 3173, 693, 595, 30204, 2813, 7046, 18350, 267, 513, 7470, 7384, 3060, 2966, 547, 1449, 519, 1826, 540, 3937, 602, 568, 2693, 547, 581, 3044, 676, 519, 1647, 547, 1439, 540, 713, 8717, 950, 519, 1788, 2731, 4991, 896, 1259, 269, 769, 7470, 7384, 267, 1804, 2338, 540, 18376, 7193, 338, 543, 16434, 569, 21092, 13763, 616, 5532, 2066, 513, 3060, 538, 513, 1259, 602, 2636, 873, 547, 1599, 607, 513, 2582, 267, 5691, 2706, 26367, 269, 834, 763, 4126, 568, 602, 649, 267, 1927, 609, 4891, 267, 4194, 8726, 12961, 972, 616, 2437, 1767, 30473, 529, 27578, 267, 1646, 9614, 585, 519, 7046, 18350, 4674, 269, 27578, 4967, 602, 519, 9325, 5787, 1807, 568, 2693, 547, 581, 909, 543, 4881, 585, 513, 8717, 267, 2495, 789, 711, 1152, 991, 547, 3589, 1018, 786, 581, 519, 5767, 543, 6574, 2029, 538, 476, 1220, 278, 267, 855, 849, 799, 25121, 786, 829, 572, 3164, 2429, 519, 1272, 540, 519, 1788, 269, 634, 20576, 781, 1101, 4891, 941, 670, 1168, 27451, 6261, 871, 731, 543, 27311, 267, 799, 616, 12419, 898, 13203, 476, 273, 2861, 1949, 267, 607, 1134, 607, 9373, 553, 903, 17978, 267, 799, 568, 3246, 476, 1015, 3766, 580, 629, 527, 12656, 29364, 13033, 10591, 269, 22126, 568, 849, 11836, 519, 4674, 267, 3246, 3670, 1535, 306, 7685, 13763, 267, 476, 736, 1768, 17879, 5052, 540, 4859, 607, 1134, 607, 22126, 781, 1007, 19554, 26653, 4859, 2359, 3301, 269, 634, 7384, 3060, 568, 2966, 547, 3095, 5215, 540, 3744, 945, 786, 946, 519, 5787, 1807, 547, 2119, 547, 6961, 519, 6228, 540, 5536, 1634, 607, 11612, 7714, 536, 657, 976, 676, 973, 11661, 519, 2175, 2219, 547, 723, 11478, 16172, 1310, 519, 2462, 29907, 7018, 269, 11612, 7714, 4016, 547, 8834, 11612, 7714, 267, 519, 21997, 945, 1101, 17695, 1242, 519, 6228, 540, 971, 5536, 267, 1247, 536, 657, 976, 3277, 547, 519, 1362, 540, 5536, 3957, 585, 1776, 21997, 267, 590, 12991, 269, 645, 846, 269, 769, 1022, 2013, 267, 27578, 1767, 3744, 616, 7168, 2386, 519, 2458, 3187, 786, 3132, 519, 2175, 789, 991, 547, 1711, 519, 5536, 267, 952, 789, 2291, 693, 782, 269, 834, 2171, 616, 6158, 827, 267, 936, 519, 12732, 540, 519, 1788, 267, 17542, 540, 9489, 257, 540, 5092, 267, 27578, 1767, 269, 834, 2791, 9327, 1405, 1118, 713, 5092, 593, 513, 554, 4875, 1701, 634, 1788, 3322, 513, 2603, 540, 1239, 267, 799, 1058, 1683, 22126, 609, 15417, 2666, 538, 799, 547, 1449, 19554, 26653, 267, 1767, 808, 2967, 9093, 517, 267, 606, 22126, 3194, 29533, 945, 5280, 1020, 519, 3301, 269, 834, 8489, 789, 616, 2731, 3056, 6316, 610, 11702, 6316, 568, 519, 2450, 540, 519, 1239, 519, 616, 2870, 2437, 9093, 517, 1767, 269, 834, 5445, 616, 6158, 827, 6148, 10451, 2947, 4620, 17879, 5052, 630, 325, 633, 2929, 17254, 17879, 5052, 264, 540, 1239, 513, 1032, 2899, 789, 616, 909, 543, 4881, 1701, 1809, 1256, 609, 922, 1804, 6578, 267, 595, 30204, 666, 1405, 1628, 922, 7384, 4674, 689, 15072, 269, 11569, 267, 519, 8116, 568, 3168, 547, 7148, 4540, 7384, 543, 4859, 2200, 547, 3761, 1454, 540, 519, 3060, 781, 4390, 269, 2334, 568, 1018, 2306, 519, 1788, 4277, 547, 8262, 9791, 267, 3081, 8751, 8316, 330, 267, 2489, 9614, 540, 22126, 781, 7470, 7384, 1870, 269, 595, 30204, 781, 991, 547, 1265, 513, 1942, 15807, 1259, 547, 4383, 513, 7372, 7384, 1788, 1247, 1210, 4540, 7384, 2200, 568, 519, 1482, 3390, 602, 1870, 5561, 3068, 267, 8316, 330, 1767, 267, 4946, 834, 2254, 602, 649, 5749, 1405, 2731, 9599, 827, 9325, 6323, 1701, 1280, 24605, 543, 27311, 267, 519, 1788, 568, 513, 4960, 547, 3895, 519, 898, 13203, 7746, 13863, 607, 519, 1985, 5108, 540, 13416, 7746, 2029, 269, 4014, 1082, 1804, 3549, 616, 1869, 4152, 898, 13203, 2861, 13763, 267, 24605, 543, 595, 30204, 616, 25919, 602, 789, 786, 581, 2484, 811, 7839, 676, 519, 942, 519, 9325, 5787, 1807, 568, 4712, 269, 4634, 1498, 595, 30204, 568, 1175, 8391, 519, 1101, 540, 519, 9649, 4773, 602, 786, 1106, 519, 5787, 1807, 267, 519, 7384, 3060, 2115, 547, 581, 3710, 676, 476, 1220, 276, 267, 27578, 1767, 269, 4014, 519, 5787, 1807, 786, 711, 2943, 581, 4881, 267, 519, 3744, 3238, 538, 519, 1788, 786, 723, 547, 2253, 10992, 782, 540, 519, 11191, 3301, 789, 786, 946, 547, 2268, 543, 21613, 519, 2164, 3812, 676, 519, 5787, 1807, 3294, 269, 0, 5715, 3233, 12202, 568, 513, 3833, 2147, 2534, 547, 9205, 12202, 269, 634, 2101, 3017, 568, 602, 585, 11255, 12202, 596, 616, 12391, 585, 519, 2371, 538, 707, 1753, 1247, 9205, 786, 581, 538, 519, 4677, 3544, 269, 2290, 2101, 5413, 568, 602, 596, 786, 1205, 1569, 547, 12202, 1256, 952, 596, 2661, 538, 519, 2749, 543, 1810, 1406, 723, 1569, 547, 2244, 269, 1280, 1004, 945, 616, 849, 16876, 16280, 899, 6738, 13522, 267, 713, 786, 581, 606, 4277, 15908, 563, 7712, 2371, 1491, 538, 3327, 8166, 543, 2285, 856, 5135, 799, 649, 13236, 713, 786, 581, 513, 1360, 2635, 3635, 547, 22738, 269, 1473, 3233, 12202, 568, 1360, 5078, 585, 1004, 945, 2661, 538, 1360, 3905, 610, 1360, 4411, 16374, 269, 901, 568, 1317, 596, 666, 1689, 519, 5790, 538, 519, 4055, 1141, 789, 616, 547, 1118, 873, 21707, 563, 2691, 596, 9096, 8939, 519, 2186, 540, 2371, 547, 1332, 267, 1287, 621, 2501, 547, 7446, 519, 8708, 547, 2777, 873, 269, 898, 568, 1434, 538, 8273, 17428, 547, 1450, 585, 2030, 2208, 855, 1507, 3283, 666, 849, 581, 7109, 730, 269, 589, 1507, 835, 666, 581, 17479, 593, 513, 4831, 269, 634, 2462, 835, 666, 581, 5116, 1175, 1985, 547, 519, 7450, 610, 693, 513, 13566, 5544, 538, 519, 7944, 540, 519, 1753, 563, 5475, 11018, 782, 519, 1344, 593, 519, 2371, 543, 7446, 519, 8708, 1287, 596, 786, 723, 547, 6430, 1141, 547, 1747, 873, 269, 1306, 1454, 607, 2009, 267, 1747, 519, 8708, 609, 519, 2030, 2282, 519, 6885, 865, 602, 621, 666, 1569, 519, 6505, 3141, 269, 1703, 616, 930, 2371, 602, 2154, 9940, 7943, 610, 5841, 1769, 269, 1452, 1058, 581, 2322, 538, 513, 811, 21363, 5544, 609, 1970, 1569, 547, 519, 3141, 269, 674, 9430, 547, 798, 713, 786, 1291, 547, 519, 9552, 540, 707, 2371, 563, 5715, 3233, 12202, 666, 849, 13918, 519, 9544, 540, 11922, 269, 1403, 596, 2648, 547, 3434, 1287, 713, 786, 581, 5078, 585, 596, 269, 634, 11922, 786, 2154, 827, 2185, 547, 3670, 3108, 540, 7943, 1142, 1554, 13745, 609, 513, 10690, 3362, 27071, 3037, 269, 1358, 786, 1039, 513, 2603, 540, 24996, 547, 707, 6980, 269, 898, 1058, 849, 581, 2009, 585, 1473, 3233, 12202, 547, 581, 2944, 7258, 519, 6228, 540, 10130, 538, 519, 1753, 269, 8564, 1346, 2371, 602, 616, 711, 6757, 547, 10130, 865, 602, 789, 666, 2661, 1927, 269, 10925, 16760, 15798, 17850, 338, 610, 25798, 7725, 593, 1283, 540, 11934, 952, 707, 10130, 899, 547, 3251, 538, 519, 3037, 13897, 563, 2710, 607, 1454, 1382, 593, 519, 4950, 607, 2009, 1354, 4358, 707, 4677, 16280, 269, 0, 293, 9200, 23726, 10814, 19132, 1344, 607, 1769, 267, 1818, 621, 1454, 5488, 607, 1134, 607, 811, 2312, 982, 7601, 27871, 269, 898, 11338, 19299, 513, 2603, 2362, 19961, 2702, 936, 3476, 9832, 269, 3643, 713, 3135, 1318, 1934, 454, 763, 538, 20129, 1379, 5365, 568, 1101, 10736, 547, 26149, 693, 519, 31092, 1439, 267, 1210, 513, 3926, 1572, 606, 900, 7867, 269, 2201, 519, 18579, 1439, 267, 713, 8654, 568, 4957, 1394, 547, 606, 3167, 1129, 676, 513, 18785, 269, 1934, 454, 763, 9744, 540, 513, 6775, 23726, 10814, 267, 30409, 519, 3119, 267, 2535, 919, 538, 513, 3119, 2816, 538, 875, 3648, 3308, 6786, 666, 1491, 513, 7552, 269, 17266, 2173, 1712, 11103, 4865, 513, 1454, 4130, 4295, 543, 5512, 519, 1769, 547, 1246, 1175, 835, 13374, 799, 14998, 519, 1129, 547, 2951, 1256, 20991, 1354, 621, 3340, 547, 581, 25579, 1639, 563, 291, 13424, 1242, 4143, 1344, 568, 2965, 27573, 5196, 1769, 20512, 602, 616, 2965, 5645, 1524, 519, 4837, 6775, 693, 29702, 2673, 547, 519, 6991, 540, 26149, 269, 4495, 519, 20512, 3914, 741, 1747, 267, 789, 616, 2965, 1232, 10757, 547, 513, 4605, 267, 8301, 610, 1256, 2813, 9623, 563, 11372, 574, 1712, 6775, 14998, 1585, 10070, 540, 1769, 12345, 267, 20335, 538, 5905, 609, 12331, 267, 547, 1491, 1114, 9897, 676, 1797, 540, 519, 10260, 269, 901, 28901, 519, 1808, 6712, 540, 513, 3059, 11733, 547, 12446, 693, 741, 18353, 693, 513, 2370, 1114, 3255, 267, 10451, 513, 31495, 13133, 566, 13093, 539, 1110, 531, 29371, 563, 18893, 673, 6775, 11863, 513, 2603, 513, 2603, 5488, 267, 20501, 267, 607, 1134, 607, 3476, 26591, 5872, 543, 5365, 8852, 982, 2757, 7601, 5911, 269, 1358, 616, 2965, 11338, 1454, 811, 1202, 639, 1061, 1043, 547, 8733, 2609, 267, 899, 6632, 1145, 543, 849, 6850, 2173, 8568, 25518, 563, 3080, 4241, 3498, 540, 6775, 19945, 6776, 2029, 568, 17271, 10917, 15392, 269, 901, 3322, 8220, 513, 2757, 2837, 9300, 547, 606, 5122, 10814, 740, 22363, 609, 513, 6775, 19945, 6776, 9300, 602, 7140, 519, 15392, 1770, 6364, 1318, 883, 7648, 538, 1769, 2059, 519, 10814, 8613, 563, 297, 1783, 3096, 713, 2511, 540, 5868, 547, 2638, 585, 519, 15287, 540, 3282, 610, 1256, 1585, 824, 13818, 7135, 14015, 269, 1879, 513, 11523, 568, 2965, 1336, 267, 519, 1062, 5612, 695, 7491, 1524, 519, 1134, 543, 20205, 606, 1344, 547, 4600, 5171, 269, 901, 18788, 519, 13766, 585, 4600, 547, 13948, 2638, 856, 1134, 21650, 267, 513, 3454, 532, 543, 22247, 5650, 563, 18893, 673, 6775, 616, 2965, 8246, 547, 3560, 2792, 10832, 538, 513, 3099, 540, 5574, 267, 971, 607, 1158, 2647, 1357, 543, 10814, 8613, 269, 1358, 616, 2965, 10123, 1031, 538, 1454, 811, 693, 16151, 4694, 12742, 267, 971, 607, 896, 22855, 10814, 751, 4582, 2888, 563, 18893, 673, 11103, 616, 7768, 540, 22204, 540, 4837, 602, 32694, 1769, 18819, 269, 634, 4099, 607, 1134, 607, 8720, 723, 1585, 31659, 17523, 267, 799, 4827, 525, 538, 20129, 8654, 693, 513, 1978, 1793, 656, 269, 901, 2636, 519, 5365, 547, 3460, 1279, 688, 6160, 1510, 513, 1713, 2530, 538, 1648, 563, 763, 12588, 547, 4743, 22297, 12381, 538, 10917, 267, 5219, 547, 607, 24797, 8143, 16116, 909, 630, 291, 4811, 1070, 568, 1175, 835, 540, 519, 2101, 3096, 540, 9804, 6775, 269, 901, 1826, 540, 9300, 666, 3605, 513, 24694, 1759, 593, 2656, 11941, 538, 519, 2837, 540, 519, 10260, 610, 1256, 519, 2666, 593, 922, 1378, 269, 901, 5868, 5650, 568, 2965, 4357, 540, 1379, 543, 849, 1281, 711, 1711, 19408, 6453, 19527, 267, 1818, 621, 20244, 1981, 6954, 563, 763, 8720, 543, 4099, 1118, 513, 3308, 5951, 7666, 728, 602, 18993, 1080, 519, 1769, 9250, 883, 621, 269, 769, 1931, 547, 798, 713, 267, 519, 5951, 7666, 728, 1058, 581, 2965, 27507, 540, 3544, 2930, 7060, 971, 607, 4160, 543, 20436, 566, 563, 1607, 568, 2965, 1946, 6775, 23726, 15791, 3769, 6292, 540, 3355, 1377, 19736, 281, 3138, 657, 2989, 8546, 543, 7453, 17280, 269, 700, 5366, 10612, 5161, 540, 1585, 2582, 2173, 1712, 8142, 538, 513, 2462, 267, 818, 706, 748, 10612, 16041, 609, 15074, 602, 28863, 519, 6775, 689, 11195 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 938, 6043, 568, 513, 2298, 602, 568, 17216, 1373, 7318, 269, 4438, 10076, 2657, 17607, 10432, 267, 6043, 4249, 606, 1256, 3152, 1909, 538, 5329, 938, 8186, 2635, 267, 2523, 1282, 519, 27579, 563, 1692, 14388, 649, 616, 666, 3313, 875, 1134, 649, 786, 9156, 689, 519, 17149, 2352, 3871, 602, 1272, 6799, 721, 543, 568, 513, 5578, 602, 568, 4483, 571, 1076, 547, 1169, 2460, 540, 938, 2729, 269, 1733, 12241, 1034, 540, 721, 786, 581, 2111, 547, 5431, 513, 14388, 1268, 267, 1018, 568, 621, 602, 2965, 2306, 873, 14388, 888, 4910, 559, 1466, 3884, 1406, 513, 2298, 602, 666, 581, 23564, 593, 543, 1055, 269, 5502, 267, 621, 568, 513, 14820, 267, 585, 799, 707, 19773, 593, 1272, 786, 1404, 513, 5458, 3815, 538, 875, 596, 4431, 547, 1114, 3871, 269, 1733, 12241, 1082, 1367, 7907, 1223, 581, 1767, 547, 3565, 547, 513, 1268, 779, 6043, 267, 972, 616, 1614, 1880, 4162, 602, 723, 1044, 22942, 539, 563, 20058, 267, 6043, 568, 827, 17779, 607, 10353, 547, 27277, 269, 634, 2360, 540, 606, 23904, 19773, 1223, 581, 2808, 3908, 269, 24641, 267, 513, 10853, 19773, 786, 1450, 513, 1268, 547, 581, 1655, 5423, 585, 519, 10782, 2009, 9183, 267, 1818, 873, 811, 2693, 547, 2097, 856, 519, 824, 2427, 796, 2675, 520, 1117, 563, 30772, 267, 513, 14388, 1268, 3217, 942, 547, 20272, 543, 1118, 2631, 540, 519, 6381, 269, 901, 3322, 12561, 519, 1134, 1634, 2856, 602, 8840, 519, 2898, 1524, 883, 811, 2450, 762, 25098, 267, 7551, 1818, 519, 3510, 1447, 18447, 543, 811, 19242, 563, 7661, 568, 519, 2702, 547, 27906, 1047, 609, 8726, 596, 723, 547, 960, 609, 269, 901, 13315, 5876, 267, 519, 2702, 547, 1589, 3544, 519, 4216, 267, 543, 3406, 585, 4244, 3435, 563, 11997, 267, 3384, 6043, 786, 4125, 606, 5571, 1184, 540, 3384, 1582, 18221, 269, 9861, 811, 2616, 656, 540, 707, 4835, 5188, 543, 1620, 1946, 596, 4431, 538, 519, 1259, 596, 798, 786, 1450, 596, 547, 25666, 513, 811, 9266, 3210, 269, 769, 2490, 267, 713, 786, 1118, 596, 1732, 9280, 547, 13720, 1272, 779, 9465, 609, 513, 811, 2318, 543, 12592, 14820, 269, 0, 21093, 2614, 3635, 568, 1271, 585, 3025, 267, 855, 585, 1346, 609, 693, 7434, 27417, 20746, 267, 621, 1223, 1611, 9319, 2038, 9019, 269, 589, 1353, 3370, 538, 519, 3864, 9839, 4750, 814, 1336, 602, 2834, 16608, 2866, 543, 2635, 8516, 2157, 3100, 547, 2149, 1996, 3978, 9025, 2621, 538, 1346, 8995, 609, 693, 7434, 27417, 20746, 563, 10144, 609, 693, 7434, 27417, 20746, 723, 513, 2362, 1072, 1981, 3379, 547, 1346, 1510, 519, 2068, 269, 769, 5562, 2367, 543, 2021, 609, 693, 7434, 27417, 20746, 849, 3622, 5884, 4505, 982, 29680, 1004, 1510, 519, 2783, 269, 1452, 2188, 616, 1018, 3366, 700, 1513, 4432, 22974, 717, 7568, 341, 1731, 543, 1010, 9164, 538, 519, 9315, 13519, 11644, 3194, 6828, 630, 290, 2207, 294, 264, 547, 8495, 875, 2168, 2534, 543, 1434, 8516, 2157, 616, 5532, 547, 2104, 1072, 4220, 585, 2367, 543, 2021, 945, 723, 1044, 8995, 609, 693, 7434, 27417, 20746, 563, 763, 1353, 3769, 476, 272, 267, 14056, 1004, 9907, 476, 3583, 543, 4587, 945, 15548, 538, 519, 2558, 21417, 526, 601, 698, 2657, 5530, 630, 295, 7419, 307, 5530, 264, 1063, 476, 1220, 277, 543, 476, 1220, 279, 269, 2353, 5171, 1185, 1044, 5892, 8995, 609, 693, 7434, 27417, 20746, 269, 2817, 1072, 5638, 941, 1031, 547, 1265, 856, 875, 1082, 5171, 5747, 543, 875, 1082, 941, 12936, 676, 9025, 2068, 538, 519, 1296, 3056, 909, 547, 543, 1519, 476, 1001, 276, 563, 17606, 779, 4502, 15663, 602, 713, 568, 606, 22423, 1353, 267, 865, 519, 2164, 3112, 581, 1031, 547, 3715, 17386, 21465, 3347, 269, 1717, 267, 649, 4076, 6836, 547, 20586, 519, 2078, 1063, 3635, 543, 1072, 1981, 607, 1454, 607, 2009, 676, 14577, 519, 9382, 585, 782, 824, 1634, 3604, 1063, 1004, 945, 3635, 513, 2603, 543, 513, 2370, 2223, 717, 7568, 341, 1731, 3081, 563, 2414, 5173, 519, 8516, 1377, 540, 5171, 267, 3173, 7229, 519, 2783, 540, 693, 7434, 27417, 20746, 1210, 595, 2207, 294, 779, 4922, 1031, 24524, 18185, 269, 898, 729, 1336, 602, 519, 5171, 609, 519, 9803, 7229, 8516, 2157, 1185, 519, 5207, 9019, 1981, 1282, 519, 1246, 5346, 1974, 563, 2108, 2690, 1169, 476, 274, 269, 276, 1448, 2333, 538, 8516, 6060, 267, 519, 1981, 540, 12955, 12628, 676, 476, 1321, 2600, 936, 519, 1985, 5216, 547, 8370, 1296, 269, 769, 519, 2013, 540, 9025, 5829, 7972, 267, 713, 1981, 5786, 729, 476, 1428, 2600, 2223, 717, 7568, 341, 1731, 3081, 563, 2108, 13828, 938, 1382, 543, 824, 1382, 5267, 602, 9363, 538, 3337, 666, 581, 1256, 811, 2629, 547, 1072, 982, 519, 1377, 540, 2168, 2534, 269, 3776, 6090, 3313, 930, 540, 938, 8516, 267, 855, 519, 5318, 5354, 540, 1004, 666, 2087, 593, 741, 5444, 7535, 676, 16706, 5265, 269, 901, 568, 849, 519, 2013, 585, 2043, 609, 693, 7434, 27417, 20746, 2223, 646, 3773, 563, 2005, 729, 1336, 602, 2185, 3275, 540, 2834, 8884, 2866, 666, 2569, 1166, 13616, 3259, 543, 2589, 540, 693, 7434, 27417, 20746, 269, 769, 1840, 267, 3635, 666, 2333, 519, 2298, 540, 1272, 543, 2295, 1599, 563, 294, 7568, 341, 1731, 269, 11943, 267, 968, 2171, 917, 602, 1360, 1164, 2157, 540, 3635, 936, 1082, 1296, 666, 2333, 519, 1981, 540, 3384, 693, 7434, 27417, 20746, 269, 1717, 267, 713, 568, 711, 1945, 1034, 540, 721, 991, 547, 5855, 827, 269, 18320, 2370, 2168, 2534, 568, 513, 1454, 3152, 2014, 540, 693, 7434, 27417, 20746, 538, 519, 2551, 982, 1004, 16706, 1932, 1454, 1848, 0, 1607, 7317, 1357, 14373, 786, 1683, 606, 7650, 540, 11980, 1851, 24139, 267, 14447, 267, 25251, 267, 19574, 543, 15819, 630, 299, 294, 6630, 304, 264, 6107, 543, 519, 1114, 2825, 21500, 602, 3565, 547, 741, 15398, 1981, 585, 11980, 454, 1607, 3381, 2488, 606, 7650, 540, 2853, 543, 2200, 585, 3786, 4926, 1020, 15520, 17841, 2533, 585, 741, 589, 4338, 296, 1053, 563, 19465, 20985, 17716, 1107, 7991, 30793, 2471, 267, 6019, 10076, 2657, 3493, 25902, 267, 543, 10871, 10076, 2657, 3038, 11107, 454, 25748, 5950, 267, 519, 21664, 15484, 18145, 281, 4993, 7991, 30793, 2471, 543, 4993, 6019, 19884, 543, 10076, 2657, 3493, 25902, 568, 585, 10315, 8965, 1072, 543, 2790, 1072, 13623, 543, 2146, 12621, 547, 1020, 4264, 12352, 454, 1607, 476, 275, 12268, 17245, 4670, 267, 4197, 21846, 6520, 15272, 267, 729, 2919, 538, 5698, 609, 4891, 538, 519, 2817, 4132, 3004, 9964, 13262, 8416, 630, 10998, 4811, 301, 264, 543, 1234, 300, 3437, 8606, 916, 269, 901, 4670, 786, 4196, 607, 513, 3730, 4656, 9870, 543, 3872, 4199, 585, 1762, 1004, 267, 1920, 2818, 267, 543, 7426, 269, 16952, 2200, 1644, 547, 713, 4670, 543, 938, 4741, 779, 1857, 4656, 20965, 288, 10916, 543, 2326, 616, 1631, 2139, 585, 31984, 338, 589, 2264, 779, 1034, 2487, 1357, 14373, 267, 968, 25363, 13586, 31984, 24897, 902, 281, 1215, 268, 2414, 6651, 543, 16497, 689, 519, 12197, 2223, 799, 8711, 1451, 902, 689, 19190, 2066, 4993, 269, 634, 1357, 14373, 6227, 281, 18467, 519, 1215, 268, 2414, 6651, 666, 948, 707, 16758, 1847, 4464, 538, 922, 31984, 9584, 3460, 269, 1215, 1896, 2853, 723, 8045, 31984, 9584, 20965, 1607, 3381, 2934, 31929, 19966, 340, 14765, 267, 513, 2883, 5351, 23070, 689, 4993, 3557, 2160, 7043, 16047, 267, 1141, 1352, 8843, 930, 4388, 585, 11038, 22707, 8556, 21116, 4543, 796, 659, 1260, 3966, 1221, 15602, 6107, 6445, 856, 519, 14174, 293, 6347, 563, 1607, 21686, 4580, 7028, 11980, 6604, 4058, 676, 2810, 1857, 1569, 547, 543, 4656, 827, 3466, 538, 7972, 676, 11980, 538, 4993, 563, 1607, 13186, 786, 2253, 676, 17265, 1271, 4798, 602, 8451, 538, 519, 1950, 267, 3309, 2833, 540, 938, 3768, 29545, 1053, 267, 971, 607, 1346, 602, 4308, 609, 3961, 267, 4250, 267, 543, 4947, 856, 269, 634, 8400, 786, 1287, 1847, 593, 547, 2263, 8194, 267, 922, 1764, 593, 1565, 543, 2623, 267, 607, 1134, 607, 4928, 2853, 12200, 666, 9772, 547, 2333, 20965, 7804, 269, 31722, 918, 7776, 786, 1865, 519, 1699, 10006, 538, 14699, 543, 5208, 2509, 519, 589, 4338, 296, 2146, 267, 11776, 267, 934, 738, 584, 894, 2566, 267, 24343, 338, 1222, 267, 543, 8537, 2853, 602, 666, 1489, 519, 2790, 1072, 540, 938, 589, 4338, 296, 1053, 563, 763, 667, 756, 1076, 4659, 814, 2813, 9650, 25198, 3687, 2373, 267, 513, 1007, 267, 1100, 21057, 9650, 25198, 5691, 1907, 585, 946, 609, 1053, 538, 1312, 5691, 543, 538, 16512, 5468, 269, 9650, 25198, 3687, 2373, 1683, 3610, 543, 1463, 3028, 7426, 609, 2110, 3381, 2853, 689, 519, 9650, 25198, 6437, 602, 666, 3362, 581, 3838, 609, 1762, 1004, 269, 3962, 2259, 6799, 513, 31218 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 825, 1820, 19629, 333, 901, 3576, 4939, 338, 7643, 1701, 4939, 630, 5503, 28333, 3890, 268, 1376, 22710, 17903, 825, 1820, 3488, 268, 262, 265, 2412, 3418, 24653, 3698, 3593, 6358, 10734, 1078, 14067, 1846, 29254, 8029, 24541, 825, 1820, 19629, 333, 7529, 4499, 2525, 5327, 21564, 4578, 593, 519, 4493, 540, 1880, 4358, 543, 10678, 10473, 9138, 676, 519, 3593, 4499, 2525, 315, 333, 14744, 825, 1376, 22710, 815, 942, 28333, 14052, 825, 1820, 19629, 333, 2710, 596, 1616, 606, 606, 569, 3974, 585, 519, 8653, 540, 1808, 10473, 286, 1422, 333, 14744, 24541, 825, 3903, 815, 6358, 2891, 11767, 8786, 1422, 3143, 20257, 12294, 14052, 825, 952, 3903, 2652, 1412, 13433, 262, 6769, 1038, 588, 14067, 566, 284, 3403, 2891, 19152, 519, 4358, 6728, 14744, 1038, 1439, 14067, 566, 284, 3403, 2891, 19152, 519, 10678, 6728, 14744, 1038, 1948, 16344, 18146, 1239, 1210, 519, 3403, 1376, 543, 1439, 10473, 1477, 1038, 1007, 32470, 284, 4206, 314, 4206, 9131, 9359, 13749, 11172, 2525, 588, 14067, 566, 15947, 1038, 1007, 32470, 284, 2908, 32470, 314, 4206, 9131, 17484, 13749, 11172, 2525, 1439, 14067, 566, 15947, 1363, 1477, 1038, 3328, 5091, 4851, 284, 5286, 32557, 28956, 32470, 9131, 307, 8692, 30991, 11172, 3418, 1038, 1820, 19629, 333, 763, 3328, 8653, 815, 2580, 320, 2071, 5091, 4851, 476, 3418, 24541, 1038, 3044, 318, 22563, 2747, 815, 5286, 14714, 323, 28956, 32470, 9131, 307, 8692, 30991, 11172, 3418, 1038, 1820, 19629, 333, 763, 3044, 11539, 585, 519, 7552, 8653, 815, 2580, 20598, 318, 22563, 2747, 476, 3418, 24541, 1038, 3193, 5091, 4851, 815, 5286, 27982, 28956, 32470, 9131, 307, 8692, 30991, 11172, 3418, 1038, 1820, 2891, 763, 5021, 15143, 8653, 815, 2580, 10946, 5091, 4851, 476, 3418, 24541, 1038, 7552, 318, 5976, 26174, 318, 706, 9653, 815, 1007, 32470, 314, 2908, 32470, 9131, 307, 8692, 30991, 11172, 2525, 10946, 5091, 4851, 15947, 1038, 1820, 2891, 1492, 7552, 610, 15143, 609, 519, 3193, 8653, 568, 24097, 333, 2580, 339, 8692, 318, 5976, 26174, 318, 706, 9653, 3418, 24541, 1038, 1295, 5091, 4851, 815, 5286, 269, 2381, 28956, 32470, 9131, 307, 8692, 30991, 11172, 3418, 1038, 1820, 2891, 763, 5934, 7552, 8653, 815, 2580, 2381, 5091, 4851, 476, 3418, 24541, 1038, 7552, 318, 5976, 28804, 318, 706, 9653, 815, 1007, 32470, 314, 2908, 32470, 9131, 307, 8692, 30991, 11172, 2525, 2381, 5091, 4851, 15947, 1038, 1820, 2891, 1492, 7552, 610, 15143, 609, 519, 5934, 8653, 568, 24097, 333, 2580, 339, 8692, 318, 5976, 28804, 318, 706, 9653, 3418, 1363, 1477, 1363, 1477, 1038, 1007, 32470, 318, 12528, 284, 2908, 32470, 9131, 29638, 262, 4940, 7407, 18045, 338, 14052, 1038, 2040, 30648, 1417, 284, 271, 269, 271, 1477, 1363, 1477, 1038, 585, 1775, 538, 2039, 28956, 32470, 318, 12528, 17482, 314, 271, 316, 8029, 2018, 6544, 815, 1007, 32470, 318, 12528, 5157, 316, 270, 2908, 32470, 17482, 314, 271, 316, 21506, 2018, 2040, 30648, 1417, 6834, 6544, 1477, 2018, 1820, 2891, 10831, 540, 3755, 540, 1826, 281, 15079, 815, 15079, 609, 15079, 2600, 540, 519, 2698, 1297, 540, 3755, 540, 713, 10473, 2668, 8971, 28956, 32470, 318, 12528, 28827, 5157, 3910, 2908, 32470, 318, 12528, 5157, 3910, 704, 576, 17903, 1363, 1477, 1038, 2040, 30648, 1417, 333, 815, 476, 272, 1606, 636, 30648, 1417, 1477, 1038, 952, 476, 2040, 30648, 1417, 3436, 271, 269, 271, 2433, 1477, 2018, 1820, 19629, 333, 763, 6967, 3755, 616, 540, 32148, 7392, 543, 609, 2600, 284, 14307, 2040, 30648, 1417, 333, 3418, 24541, 825, 1820, 19629, 333, 901, 3576, 4939, 338, 7643, 1701, 4939, 630, 5503, 28333, 3890, 268, 1376, 22710, 17903, 825, 1820, 3488, 268, 262, 265, 2412, 3418, 672, 5897, 3698, 1292, 28399, 825, 1247, 6936, 6769, 1038, 1247, 6936, 6769, 2018, 2749, 267, 24629, 267, 1485, 815, 1205, 6958, 559, 1562, 14052, 2018, 17093, 815, 4452, 12774, 6262, 640, 267, 24629, 267, 1485, 3418, 2018, 942, 14067, 1846, 29254, 3418, 2018, 6728, 14067, 1846, 29254, 3418, 2018, 7552, 5091, 4851, 14067, 1846, 29254, 3418, 2018, 3593, 14067, 1846, 29254, 3418, 2018, 3593, 6358, 10734, 1078, 14067, 1846, 29254, 3418, 2018, 1964, 691, 815, 3403, 28361, 333, 25898, 596, 899, 547, 1964, 691, 286, 9373, 9811, 610, 1100, 26142, 333, 20298, 2018, 952, 1964, 691, 31573, 3890, 11203, 1412, 13433, 262, 6769, 3546, 2736, 24653, 604, 6449, 4067, 1029, 2525, 257, 1029, 10852, 1029, 257, 6769, 825, 1292, 14052, 0, 258, 3240, 14067, 1846, 815, 2715, 257, 4067, 9899, 834, 335, 6222, 807, 2580, 834, 720, 9899, 476, 1789, 267, 834, 19417, 9899, 476, 276, 269, 279, 8679, 28744, 834, 260, 338, 568, 4939, 328, 1296, 2025, 609, 513, 4463, 540, 4939, 269, 273, 325, 1701, 4939, 263, 3240, 14067, 1846, 14277, 4067, 257, 3910, 1250, 14067, 1846, 14277, 720, 257, 3910, 1250, 14067, 1846, 14277, 19417, 19312, 2020, 258, 23437, 30044, 14067, 1846, 14277, 720, 257, 7481, 28744, 1250, 14067, 1846, 692, 258, 22106, 5879, 318, 6919, 815, 2715, 257, 15615, 9899, 834, 20657, 2711, 1297, 2580, 834, 11415, 9899, 834, 1415, 2251, 1063, 1612, 656, 12330, 2580, 834, 15759, 518, 9899, 834, 1415, 2898, 1297, 2580, 834, 2692, 18978, 9899, 834, 12148, 610, 8771, 257, 10926, 258, 1250, 12173, 815, 834, 335, 6222, 807, 4840, 258, 4484, 18045, 815, 2715, 10926, 258, 585, 4484, 538, 1250, 12173, 912, 258, 476, 14851, 4484, 538, 4484, 18045, 912, 258, 476, 453, 453, 12072, 18045, 314, 12072, 316, 6834, 476, 272, 454, 258, 476, 28432, 912, 258, 476, 453, 453, 12072, 18045, 314, 12072, 316, 815, 476, 272, 692, 258, 1820, 4484, 18045, 692, 12803, 8548, 10185, 815, 1930, 2891, 821, 6958, 880, 4671, 6851, 6958, 880, 17902, 20257, 1348, 4590, 12072, 18045, 815, 2715, 10926, 1721, 4484, 538, 3758, 8548, 10185, 912, 14851, 4484, 538, 4484, 18045, 912, 453, 453, 12072, 18045, 314, 12072, 316, 6834, 476, 272, 454, 28432, 912, 453, 453, 12072, 18045, 314, 12072, 316, 815, 476, 272, 692, 2745, 4484, 18045, 692, 258, 1250, 12173, 815, 834, 821, 3165, 1079, 3165, 2699, 3165, 4544, 3165, 4840, 258, 4484, 18045, 815, 2715, 10926, 258, 585, 4484, 538, 1250, 12173, 912, 258, 476, 14851, 4484, 538, 4484, 18045, 912, 258, 476, 453, 453, 12072, 18045, 314, 12072, 316, 6834, 476, 272, 454, 258, 476, 28432, 912, 258, 476, 453, 453, 12072, 18045, 314, 12072, 316, 815, 476, 272, 692, 258, 1820, 4484, 18045, 692, 258, 5777, 815, 15079, 7531, 258, 1250, 6958, 8816, 815, 2715, 257, 3316, 3570, 9899, 476, 275, 267, 834, 1952, 956, 9899, 476, 273, 267, 834, 528, 1052, 9899, 476, 272, 269, 276, 267, 834, 701, 541, 9899, 476, 274, 348, 3097, 258, 3193, 815, 476, 271, 454, 258, 3193, 318, 4486, 815, 834, 4840, 258, 585, 1883, 267, 1871, 538, 1250, 6958, 8816, 29096, 10031, 258, 672, 952, 8528, 258, 1820, 3193, 318, 4486, 692, 0, 258, 29807, 518, 513, 281, 21642, 9847, 27883, 320, 267, 21642, 13580, 798, 557, 513, 552, 262, 796, 10326, 692, 3698, 1267, 17635, 2187, 825, 5727, 11773, 1510, 10438, 519, 3403, 454, 825, 1267, 281, 513, 9847, 29807, 518, 513, 454, 825, 8173, 825, 2132, 25754, 538, 335, 281, 27883, 341, 267, 538, 335, 264, 6540, 14706, 815, 25754, 538, 335, 281, 11713, 12163, 29490, 14543, 454, 14706, 281, 29807, 518, 513, 454, 20701, 14403, 815, 25754, 538, 335, 281, 32582, 26444, 11434, 952, 538, 335, 2652, 32582, 610, 538, 335, 2652, 834, 257, 315, 454, 11434, 3116, 27883, 514, 335, 314, 271, 3910, 538, 335, 314, 272, 281, 8079, 2639, 18851, 306, 22066, 8532, 513, 1347, 454, 14403, 281, 29807, 518, 4077, 454, 20701, 3698, 12622, 9638, 2187, 825, 5727, 321, 785, 16163, 532, 22562, 825, 14803, 3701, 912, 825, 910, 2387, 335, 29699, 29807, 518, 513, 454, 825, 8173, 825, 2132, 25754, 535, 24097, 454, 19930, 25754, 538, 335, 24097, 454, 19930, 2569, 10857, 10033, 561, 267, 331, 337, 281, 561, 266, 331, 337, 267, 26444, 4449, 476, 1496, 325, 17635, 7565, 514, 335, 272, 264, 585, 630, 341, 267, 514, 335, 272, 264, 538, 533, 263, 514, 335, 264, 3910, 315, 454, 4449, 476, 1496, 20285, 572, 336, 815, 25754, 533, 24097, 454, 8587, 25754, 7117, 24097, 454, 8587, 12622, 9638, 7565, 14433, 1535, 24097, 454, 8587, 12622, 32429, 7565, 14433, 586, 24097, 454, 23526, 1267, 3287, 20742, 994, 8587, 3738, 2020, 338, 520, 815, 25754, 533, 24097, 454, 8587, 12622, 263, 14403, 7565, 14433, 1535, 24097, 454, 8587, 1267, 3287, 264, 952, 533, 3287, 264, 3116, 4642, 454, 8587, 25589, 529, 318, 10420, 815, 25754, 1535, 24097, 454, 1038, 2893, 10857, 10033, 586, 281, 343, 2525, 344, 2020, 529, 20311, 815, 2893, 10857, 10033, 586, 281, 262, 271, 262, 27045, 344, 543, 586, 283, 8782, 280, 5073, 12072, 815, 2893, 10857, 10033, 586, 281, 262, 320, 262, 27045, 344, 543, 586, 283, 8782, 345, 17210, 15200, 815, 25754, 533, 24097, 454, 11434, 25754, 7117, 24097, 454, 11434, 25754, 538, 335, 24097, 454, 11434, 533, 263, 514, 335, 264, 1341, 7117, 263, 514, 335, 9239, 5320, 815, 7132, 31114, 2891, 257, 4297, 18692, 825, 12622, 263, 12072, 7565, 14433, 1535, 24097, 454, 825, 12622, 27182, 7565, 14433, 1535, 338, 24097, 454, 1038, 1267, 3287, 21147, 338, 994, 825, 3738, 11723, 2745, 1267, 2891, 322, 8442, 2891, 25556, 334, 15419, 2745, 4642, 2891, 25556, 334, 15419, 2745, 6221, 2891, 25556, 334, 15419, 2745, 12622, 263, 14403, 7565, 454, 825, 25754, 1535, 24097, 454, 825, 1267, 3287, 994, 825, 3738, 2891, 25556, 334, 15419, 337, 284, 321, 785, 263, 14403, 7565, 14433, 1535, 24097, 454, 476, 12622, 263, 14403, 7565, 14433, 586, 24097, 454, 476, 12622, 263, 14403, 7565, 14433, 1990, 24097, 454, 17264, 1267, 9230, 343, 267, 345, 11971, 4917, 476, 3738, 11723, 2745, 678, 2891, 25556, 334, 5602, 2745, 694, 336, 263, 14403, 7565, 14403, 264, 2891, 25556, 334, 5602, 2745, 694, 336, 263, 529, 318, 10420, 2891, 343, 257, 4297, 263, 14403, 264, 2891, 25556, 334, 5602, 2745, 694, 336, 263, 529, 318, 10420, 2891, 322, 257, 4297, 263, 14403, 264, 2891, 25556, 334, 5602, 2745, 694, 336, 263, 529, 20311, 7565, 529, 318, 10420, 2891, 328, 257, 4297, 2891, 25556, 334, 5602, 2745, 694, 336, 263, 529, 20311, 7565, 529, 318, 10420, 2891, 328, 257, 4297, 2891, 272, 26820, 5602, 2745, 694, 336, 263, 529, 20311, 7565, 529, 318, 10420, 2891, 322, 257, 4297, 2891, 272, 26820, 15419, 322, 318, 528, 19571, 815, 7132, 263, 529, 20311, 7565, 529, 318, 10420, 2891, 322, 27363, 322, 318, 528, 6831, 815, 7132, 263, 529, 318, 10420, 2891, 322, 257, 4297, 263, 529, 318, 10420, 2891, 322, 27363, 2745, 524, 318, 528, 19571, 2891, 272, 26820, 5602, 2745, 524, 318, 528, 6831, 2891, 25556, 334, 15419, 2745, 2262, 2891, 7666, 534, 857, 334, 2215, 334, 5602, 2745, 2262, 2891, 7666, 534, 857, 334, 257, 9239, 3430, 337, 815, 12622, 263, 14403, 7565, 14433, 630, 324, 1203, 267, 2012, 267, 1871, 2567, 315, 454, 1038, 1267, 2891, 260, 338, 284, 260, 338, 257, 4939, 630, 4067, 267, 1871, 4297, 952, 2680, 2652, 257, 3430, 337, 257, 3116, 454, 1038, 4642, 454, 8587, 12467, 258, 1605, 332, 815, 12622, 263, 14403, 7565, 14433, 630, 324, 1203, 267, 2012, 267, 1871, 2567, 315, 454, 258, 1363, 1267, 2891, 260, 338, 284, 260, 338, 257, 4939, 630, 4067, 267, 1871, 4297, 952, 2680, 2652, 257, 3430, 337, 257, 3116, 454, 258, 1363, 4642, 454, 258, 11434, 25589, 258, 6908, 815, 1496, 454, 258, 672, 9497, 3430, 337, 2580, 834, 4067, 2580, 834, 320, 257, 13211, 258, 672, 9497, 3430, 337, 2580, 834, 4067, 2580, 834, 321, 257, 13211, 258, 672, 9497, 324, 2211, 2580, 834, 17367, 2580, 834, 257, 13211, 258, 672, 9497, 3430, 337, 2580, 834, 4067, 2580, 834, 322, 257, 13211, 258, 672, 9497, 3430, 337, 2580, 834, 4067, 2580, 834, 323, 5602, 258, 672, 23378, 258, 6908, 272, 815, 1496, 454, 258, 672, 9497, 324, 2211, 2580, 834, 17367, 2580, 834, 257, 13211, 258, 672, 9497, 3430, 337, 2580, 834, 4067, 2580, 834, 320, 257, 13211, 258, 672, 9497, 3430, 337, 2580, 834, 4067, 2580, 834, 321, 257, 13211, 258, 672, 9497, 324, 2211, 2580, 834, 17367, 2580, 834, 257, 13211, 258, 672, 9497, 3430, 337, 2580, 834, 4067, 2580, 834, 322, 257, 13211, 258, 672, 9497, 3430, 337, 2580, 834, 4067, 2580, 834, 323, 5602, 258, 672, 23378, 258, 1820, 694, 336, 263, 3430, 337, 7565, 3430, 337, 7565, 6894, 994 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8037, 6388, 2501, 538, 519, 1106, 540, 834, 637, 559, 1304, 9263, 3562, 24406, 518, 6772, 904, 2437, 5189, 676, 9149, 1696, 620, 269, 630, 1001, 277, 1040, 1452, 18228, 3889, 8415, 2706, 574, 12723, 25327, 547, 15814, 2200, 2066, 3875, 9905, 269, 1879, 5185, 609, 6843, 14286, 267, 519, 6772, 599, 3082, 338, 29858, 267, 5009, 1007, 3401, 945, 8263, 5539, 585, 5883, 4299, 4525, 269, 9182, 267, 519, 3003, 1062, 15387, 922, 29782, 1256, 9624, 21463, 267, 7551, 18220, 532, 519, 9759, 540, 1582, 13463, 2718, 780, 1103, 3932, 267, 1582, 13463, 2718, 1949, 2099, 606, 3078, 20281, 538, 7856, 7384, 267, 12082, 538, 3741, 6508, 689, 25852, 543, 2584, 9582, 269, 4498, 1145, 532, 519, 1379, 540, 1875, 1673, 858, 24219, 6329, 6087, 8030, 547, 1711, 811, 6325, 543, 3608, 5121, 5827, 540, 8238, 558, 3585, 28472, 14796, 543, 19620, 6099, 2773, 2157, 269, 1306, 2029, 5170, 14027, 693, 2736, 928, 1188, 11250, 267, 3695, 3209, 2081, 547, 6451, 6667, 6537, 689, 3309, 4610, 14767, 547, 12260, 13778, 7399, 585, 5647, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 20376, 269, 8838, 923, 543, 7353, 9582, 454, 24127, 476, 280, 910, 476, 1708, 272, 1923, 4179, 2517, 8742, 3820, 270, 1015, 269, 24783, 280, 11721, 19148, 269, 1708, 272, 269, 277, 7176, 29340, 454, 15239, 5937, 858, 24219, 8752, 23027, 281, 26386, 543, 4437, 32441, 10241, 454, 268, 476, 272, 9743, 3482, 585, 25927, 1049, 11020, 3194, 267, 29258, 6481, 3427, 267, 674, 644, 534, 2160, 267, 29258, 267, 3624, 454, 268, 476, 273, 23430, 540, 15379, 543, 18329, 7177, 267, 2160, 540, 15173, 15158, 267, 623, 758, 995, 600, 267, 15173, 15158, 267, 590, 2752, 3624, 454, 268, 476, 274, 28723, 4437, 32441, 19639, 7695, 10418, 267, 15173, 15158, 3163, 5244, 267, 590, 1002, 514, 267, 15173, 15158, 267, 590, 2752, 3624, 454, 763, 1769, 18640, 538, 519, 5420, 7363, 2833, 32250, 267, 24980, 267, 543, 22502, 269, 24356, 519, 1769, 18640, 568, 513, 2540, 6040, 1966, 607, 519, 22726, 949, 22887, 10663, 543, 32603, 269, 1284, 1376, 689, 519, 4909, 2035, 540, 519, 1875, 1673, 858, 24219, 20832, 267, 543, 1806, 540, 519, 1875, 1673, 858, 24219, 20832, 1331, 855, 616, 711, 3908, 547, 519, 29817, 1088, 11237, 267, 5794, 344, 11237, 267, 543, 4569, 24586, 11237, 269, 3973, 267, 649, 1865, 519, 24118, 3156, 540, 519, 1875, 1673, 858, 24219, 20832, 267, 2519, 593, 5276, 543, 22357, 9196, 267, 552, 3052, 1421, 1769, 1606, 18694, 16682, 322, 523, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 20236, 268, 3891, 2718, 7010, 257, 607, 851, 540, 834, 28035, 1315, 20518, 3176, 7010, 1315, 4937, 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, 4495, 2390, 513, 942, 538, 519, 1507, 9381, 4884, 540, 570, 11893, 268, 6807, 267, 5030, 1079, 1655, 2828, 3957, 27385, 519, 1530, 698, 1638, 543, 8891, 5674, 519, 623, 4428, 518, 8127, 269, 1358, 6068, 3695, 519, 5836, 2282, 741, 1753, 543, 1565, 782, 827, 922, 13300, 269, 2290, 1554, 789, 4956, 547, 1376, 513, 1870, 1927, 910, 3246, 32420, 19997, 547, 782, 519, 3165, 538, 519, 5836, 2439, 306, 20632, 1185, 4121, 689, 1010, 3659, 267, 3220, 269, 667, 800, 519, 667, 20462, 514, 267, 602, 32420, 729, 14095, 2407, 540, 5567, 899, 8324, 543, 6886, 799, 1223, 948, 824, 3165, 3251, 2635, 269, 1924, 267, 646, 543, 8891, 5674, 1305, 856, 10655, 32420, 1282, 1970, 20352, 267, 7738, 621, 5402, 267, 543, 11544, 621, 883, 17705, 25235, 269, 6478, 3262, 3728, 1851, 7874, 3165, 827, 875, 8949, 543, 6225, 891, 32420, 6980, 941, 585, 741, 1072, 269, 6969, 1279, 267, 27385, 543, 8891, 5674, 781, 2370, 1796, 2968, 3833, 2442, 1472, 570, 11893, 268, 6807, 2439, 3080, 13566, 6640, 267, 1247, 8600, 811, 25235, 267, 789, 9289, 952, 789, 1223, 4228, 741, 1870, 3544, 540, 570, 11893, 268, 6807, 269, 12344, 1256, 1831, 4583, 2429, 519, 3003, 14015, 1158, 256, 19196, 1243, 676, 713, 2856, 267, 789, 4280, 8797, 2025, 595, 4599, 2421, 14161, 585, 5796, 269, 1261, 5143, 873, 602, 9750, 1131, 2154, 1697, 4058, 543, 1620, 519, 2115, 540, 1114, 2950, 269, 834, 9617, 1317, 1945, 1568, 1134, 1934, 2437, 1767, 595, 4599, 2421, 14161, 267, 834, 323, 3996, 333, 1405, 1611, 621, 786, 960, 10876, 3010, 2414, 1449, 713, 3069, 267, 938, 9432, 2358, 5918, 334, 5887, 3293, 2417, 982, 2479, 1354, 269, 1306, 789, 1558, 1007, 2249, 267, 789, 7691, 1142, 1858, 1185, 2189, 16919, 543, 4170, 1759, 593, 2188, 971, 607, 1216, 2837, 543, 1699, 4287, 269, 1677, 5963, 8011, 2066, 1585, 4525, 267, 789, 2877, 547, 20688, 741, 1587, 9935, 269, 901, 20185, 4547, 1312, 2591, 543, 3255, 1107, 15268, 5921, 10115, 811, 4674, 267, 855, 849, 8118, 9885, 547, 4196, 1082, 811, 13854, 5561, 780, 1103, 519, 1439, 267, 1498, 267, 5103, 741, 2182, 960, 543, 11428, 267, 27385, 543, 8891, 5674, 4362, 602, 5883, 4238, 865, 2484, 6306, 9863, 1932, 2352, 269, 4256, 11505, 3323, 7092, 1813, 547, 3586, 22195, 936, 3664, 1644, 547, 5820, 267, 14499, 267, 543, 6725, 2994, 269, 2060, 5230, 12271, 267, 789, 8120, 547, 741, 18803, 2943, 14762, 32420, 19997, 588, 718, 1394, 538, 570, 11893, 268, 6807, 269, 9282, 25922, 267, 789, 6956, 602, 1169, 4161, 11414, 721, 3407, 4245, 269, 6884, 649, 1451, 1018, 1281, 960, 282, 3006, 649, 1265, 856, 1018, 3085, 1405, 11652, 1346, 2833, 3337, 721, 883, 1732, 3744, 267, 17701, 267, 543, 2828, 269, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 29205, 596, 1683, 1808, 1806, 540, 3811, 4213, 610, 11639, 5665, 538, 18578, 745, 330, 888, 2026, 606, 3642, 1893, 2203, 267, 594, 798, 711, 723, 1569, 547, 909, 3562, 15082, 1344, 593, 4213, 538, 18578, 745, 330, 269, 1717, 267, 607, 829, 2139, 1344, 267, 18578, 745, 330, 568, 513, 1507, 2823, 2749, 5097, 5059, 593, 10068, 543, 6683, 269, 898, 1522, 723, 2199, 4213, 7674, 519, 2199, 2551, 267, 855, 972, 616, 1100, 1713, 4213, 610, 11639, 538, 18578, 745, 330, 602, 616, 1634, 5001, 14325, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 563, 268, 16992, 543, 5188, 281, 1711, 12300, 3197, 945, 4497, 538, 6209, 7391, 267, 4543, 547, 2491, 543, 2263, 519, 2257, 2035, 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, 269, 0, 6092, 5149, 281, 717, 800, 324, 334, 14418, 3203, 692, 763, 717, 800, 324, 334, 15913, 630, 280, 1240, 268, 16928, 273, 1070, 1419, 5219, 547, 607, 9705, 781, 11344, 2085, 267, 729, 6825, 676, 1713, 2686, 10781, 267, 3226, 538, 519, 2361, 540, 14418, 1148, 269, 634, 19121, 720, 540, 13221, 1282, 713, 5736, 8507, 538, 513, 3638, 7499, 9371, 602, 5170, 547, 3310, 4207, 11114, 2528, 543, 3564, 269, 901, 1576, 1770, 12538, 883, 519, 14960, 540, 717, 800, 324, 334, 14418, 1148, 267, 922, 3140, 2796, 267, 30031, 4720, 267, 543, 11972, 4644, 780, 23208, 12745, 281, 13221, 8452, 538, 9705, 1282, 519, 8422, 3751, 20819, 11270, 630, 6872, 14514, 910, 476, 5780, 279, 9460, 264, 3842, 519, 28010, 10003, 4123, 11507, 269, 4706, 10752, 941, 7620, 17947, 676, 519, 15194, 31794, 267, 945, 4718, 621, 607, 513, 1797, 540, 19597, 908, 1379, 998, 5289, 26117, 269, 1635, 519, 4417, 540, 519, 717, 800, 324, 334, 15913, 267, 13221, 1185, 1831, 7184, 3824, 11712, 1369, 11114, 2486, 267, 12018, 1169, 2460, 540, 1272, 267, 1519, 6214, 267, 6138, 267, 4915, 267, 2069, 267, 543, 6575, 269, 7201, 10424, 13384, 11208, 267, 14418, 17633, 25577, 267, 4742, 7740, 540, 1565, 543, 32387, 540, 3860, 3977, 780, 289, 3291, 7290, 27748, 2762, 281, 589, 1883, 4183, 540, 717, 800, 324, 334, 14418, 1148, 568, 922, 15984, 547, 2757, 12835, 4919, 14908, 1247, 8195, 6220, 6805, 15312, 269, 5871, 18305, 3769, 18477, 7919, 267, 13938, 20130, 3430, 11663, 267, 818, 1002, 338, 267, 543, 27369, 24587, 269, 1452, 5515, 22993, 1808, 21644, 543, 10305, 267, 7674, 1312, 1705, 12519, 543, 1821, 10899, 5301, 269, 1358, 941, 23939, 18705, 1210, 3309, 23447, 971, 607, 19730, 267, 6149, 267, 3574, 267, 543, 23907, 267, 10452, 9952, 1148, 529, 15201, 543, 2620, 27527, 2509, 3909, 16431, 780, 290, 601, 611, 517, 595, 10984, 923, 281, 2290, 8037, 9295, 540, 519, 717, 800, 324, 334, 19092, 6013, 538, 519, 1646, 540, 13767, 611, 517, 23907, 267, 6353, 676, 741, 795, 1228, 3039, 1350, 10270, 543, 17715, 6272, 269, 10705, 30996, 1639, 609, 2603, 639, 5810, 267, 12166, 3270, 267, 543, 513, 22273, 5534, 6698, 267, 891, 4773, 7152, 11108, 2930, 17117, 543, 12716, 2283, 4850, 269, 1306, 1055, 1068, 1559, 610, 1187, 518, 776, 3615, 267, 789, 25967, 1819, 519, 1623, 25027, 2078, 1063, 4984, 543, 1148, 1282, 519, 717, 800, 324, 334, 5736, 780, 294, 2830, 1532, 1258, 2763, 6465, 4231, 281, 6271, 10747, 8984, 540, 717, 800, 324, 334, 14418, 1148, 568, 575, 2830, 1532, 1258, 2763, 2493, 4231, 267, 30833, 676, 519, 26832, 966, 2967, 10635, 3570, 17700, 18533, 693, 17240, 7666, 802, 320, 13527, 269, 30557, 5176, 4557, 7397, 7381, 267, 713, 575, 843, 539, 4137, 13423, 558, 3278, 519, 6264, 16725, 543, 30483, 6913, 1282, 519, 717, 800, 324, 334, 1974, 269, 3414, 5730, 12669, 17790, 2553, 543, 1928, 560, 1136, 23477, 267, 5159, 2813, 3076, 601, 833, 3029, 28093, 4240, 609, 10143, 2234, 4800, 267, 859, 3183, 9006, 3130, 543, 31658, 1851, 13588, 780, 9209, 2065, 26505, 1299, 11627, 725, 281, 10801, 519, 717, 800, 324, 334, 5736, 267, 7499, 6163, 7960, 3648, 267, 8272, 337, 1681, 6626, 1914, 19205, 14759, 269, 7216, 5712, 14754, 7347, 4453, 1116, 11269, 6766, 676, 4457, 19358, 543, 14576, 667, 2106, 770, 625, 269, 1717, 267, 7766, 11775, 1200, 531, 4765, 811, 7493, 267, 8766, 626, 21274, 267, 10771, 5289, 16982, 936, 2168, 1106, 269, 3958, 267, 10124, 899, 1651, 2213, 896, 6921, 10270, 23732, 543, 536, 684, 3832, 784, 16292, 7153, 267, 15386, 519, 3846, 1143, 543, 13916, 7915, 538, 717, 800, 324, 334, 14418, 1148, 780, 15430, 3569, 1299, 22684, 281, 3204, 21884, 2406, 267, 1454, 540, 519, 3312, 24402, 540, 717, 800, 324, 334, 14418, 1148, 814, 13151, 3518, 539, 547, 519, 30635, 1137, 540, 942, 267, 13137, 267, 543, 10714, 269, 11048, 267, 24790, 6414, 267, 1140, 20535, 547, 519, 7415, 5876, 543, 14039, 1214, 540, 519, 22184, 269, 12634, 25954, 5322, 3343, 547, 556, 11779, 548, 1719, 538, 713, 6561, 267, 5807, 11348, 267, 7071, 267, 543, 15364, 269, 5015, 267, 3486, 6284, 267, 971, 607, 20648, 2622, 11595, 1374, 725, 1655, 15735, 2390, 10089, 7666, 802, 320, 13527, 543, 1530, 758, 7666, 1090, 717, 8527, 1729, 267, 14751, 519, 2518, 10083, 543, 15851, 9029, 540, 717, 800, 324, 334, 14418, 1148, 780, 1103, 3932, 267, 717, 800, 324, 334, 14418, 1148, 4564, 513, 2629, 3184, 538, 9705, 781, 2686, 18330, 269, 898, 20206, 12885, 519, 10282, 540, 4914, 7506, 543, 2199, 5389, 267, 27548, 2189, 7215, 540, 5132, 267, 5898, 267, 543, 1702, 269, 4653, 267, 891, 16782, 4196, 711, 8806, 607, 8978, 22514, 580, 525, 855, 7524, 1449, 14613, 547, 8103, 781, 2781, 553, 6804, 1391, 585, 2495, 543, 16637, 775, 269, 24356, 717, 800, 324, 334, 14418, 1148, 3976, 3091, 3407, 4030, 883, 938, 3838, 2250, 543, 11972, 2418, 267, 7175, 721, 547, 6330, 519, 10848, 540, 938, 10562, 1158, 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 ]
[ 593, 10071, 7829, 543, 3210, 563, 22209, 787, 30071, 767, 32018, 281, 2368, 2043, 1376, 538, 7127, 7400, 8668, 610, 14590, 7158, 547, 2744, 4052, 1995, 1354, 3001, 883, 513, 14590, 25566, 1909, 563, 1103, 3179, 4721, 543, 24732, 268, 4002, 18768, 281, 769, 3179, 4721, 267, 2123, 3785, 267, 610, 7589, 538, 14590, 19194, 666, 1683, 3946, 6823, 1995, 543, 6542, 707, 1983, 547, 1761, 12820, 563, 276, 269, 9941, 10341, 912, 22860, 3749, 10341, 281, 634, 2702, 547, 5659, 1950, 1949, 543, 2697, 16426, 563, 31636, 10341, 281, 13229, 2792, 568, 2629, 585, 7713, 3354, 2152, 543, 3435, 547, 1875, 14482, 1013, 673, 8639, 563, 19370, 4149, 6295, 281, 15536, 9798, 19767, 1419, 991, 547, 23676, 2393, 543, 1265, 3435, 3533, 563, 277, 269, 23120, 4804, 912, 11693, 519, 6385, 9687, 2470, 540, 14590, 6937, 267, 513, 7029, 547, 6024, 1565, 568, 1898, 269, 13773, 8242, 593, 519, 5767, 3466, 267, 2645, 267, 543, 2553, 998, 1582, 24713, 344, 267, 19014, 267, 543, 2866, 3292, 563, 8855, 602, 1808, 4170, 666, 4268, 1063, 12820, 267, 865, 621, 779, 19624, 547, 2689, 2816, 2022, 902, 543, 20688, 707, 20340, 9935, 269, 8490, 513, 2178, 3060, 538, 519, 6880, 5498, 2579, 2146, 543, 11543, 4052, 1995, 998, 22631, 4721, 610, 15321, 3255, 666, 849, 3986, 707, 16548, 538, 713, 2361, 269, 0, 1103, 2221, 781, 11015, 649, 4183, 930, 2770, 27918, 543, 10477, 28734, 269, 13689, 593, 741, 946, 28734, 666, 581, 19040, 538, 1896, 2010, 267, 971, 607, 1688, 28734, 267, 8602, 28734, 267, 543, 10051, 28734, 269, 1358, 2097, 538, 513, 3099, 540, 5546, 267, 7306, 543, 4778, 543, 616, 2356, 1500, 856, 540, 12308, 610, 1957, 269, 12262, 12005, 15894, 281, 11545, 808, 12127, 1177, 10658, 26072, 454, 2304, 19887, 2679, 263, 777, 3477, 1950, 267, 6366, 1950, 267, 3625, 540, 1166, 1846, 267, 13486, 3625, 610, 1164, 8573, 1047, 264, 568, 513, 3818, 3613, 800, 2679, 1141, 1614, 610, 811, 4036, 1878, 616, 8659, 1369, 835, 2497, 269, 1323, 19887, 267, 610, 6366, 568, 513, 1582, 8410, 22633, 8027, 1770, 538, 835, 540, 891, 2010, 540, 5656, 269, 769, 2221, 781, 1007, 11015, 649, 4183, 519, 1795, 1228, 540, 606, 19887, 2679, 269, 5620, 1187, 2336, 9359, 2221, 781, 11015, 543, 6443, 721, 585, 513, 16837, 569, 588, 2651, 2059, 513, 23090, 25865, 4565, 9693, 2619, 4988, 609, 519, 7524, 4778, 540, 15468, 3762, 269, 1306, 596, 25500, 2390, 519, 25865, 4565, 16893, 267, 1577, 519, 29511, 540, 15468, 16714, 9944, 707, 3952, 32570, 707, 12823, 547, 519, 13300, 540, 519, 4005, 269, 10925, 519, 4773, 1394, 1927, 543, 6336, 3054, 538, 519, 30811, 7544, 540, 4778, 602, 19799, 519, 13374, 267, 7206, 513, 4605, 540, 2470, 781, 11958, 4800, 1996, 519, 20457, 540, 15454, 6149, 269, 5620, 1187, 2336, 294, 31678, 554, 4680, 616, 4122, 1031, 547, 3560, 1216, 585, 12202, 543, 824, 30120, 5301, 269, 1358, 616, 3335, 1500, 540, 16312, 24231, 10991, 12285, 610, 2571, 5068, 267, 1419, 18674, 609, 606, 4835, 1357, 540, 11103, 269, 5221, 554, 4680, 616, 1419, 1360, 1279, 789, 4043, 547, 1205, 3362, 8126, 1194, 267, 602, 781, 1946, 519, 2356, 18202, 909, 950, 711, 538, 946, 563, 2690, 1034, 540, 1480, 1686, 267, 3595, 6229, 729, 519, 1292, 2707, 540, 4492, 585, 8022, 267, 5986, 543, 824, 2238, 269, 9605, 6229, 568, 513, 7791, 4199, 269, 898, 568, 6740, 25985, 267, 1863, 29280, 588, 2931, 610, 538, 824, 7463, 3889, 269, 853, 1681, 3574, 538, 713, 1259, 2337, 1832, 7509, 2476, 689, 621, 543, 2636, 621, 547, 3819, 5488, 269, 16959, 3574, 20205, 811, 1648, 585, 8022, 982, 3039, 3574, 540, 519, 1482, 2249, 563, 4322, 2186, 540, 10477, 10007, 616, 2356, 513, 4062, 540, 7777, 12627, 269, 13689, 593, 741, 9115, 891, 2186, 540, 10007, 666, 2097, 538, 513, 3099, 540, 4778, 269, 4256, 4778, 616, 6766, 6140, 676, 519, 23606, 789, 2270, 267, 891, 2609, 10110, 1978, 4778, 543, 4734, 519, 824, 4778, 19448, 26327, 910, 4758, 519, 10007, 741, 2681, 269, 1358, 616, 849, 1572, 17576, 18429, 610, 10859, 1790, 3285, 748, 10007, 269, 2368, 540, 873, 666, 581, 1031, 547, 1118, 14446, 610, 824, 19799, 906, 282, 789, 666, 849, 581, 23678, 1386, 610, 20077, 883, 3615, 630, 7945, 607, 11680, 267, 1507, 19562, 1149, 267, 3092, 28593, 9213, 781, 30811, 11015, 19306, 519, 9759, 540, 2470, 538, 519, 2887, 4005, 269, 634, 3239, 12286, 538, 713, 3014, 28420, 513, 3529, 609, 922, 3762, 4957, 883, 513, 32219, 18707, 540, 4154, 543, 5835, 267, 2870, 513, 26672, 573, 4334, 609, 519, 4158, 8371, 269, 634, 3529, 6227, 519, 3003, 11015, 267, 8108, 513, 24588, 540, 5835, 602, 16657, 338, 609, 1769, 269, 1306, 14517, 1169, 6978, 781, 1469, 267, 3337, 267, 543, 9403, 543, 2972, 519, 25695, 543, 21363, 1198, 540, 519, 15489, 16714, 269, 5620, 1187, 2336, 12441, 333, 1405, 1265, 1945, 596, 899, 286, 5213, 1405, 5855, 649, 723, 5215, 540, 824, 2228, 11015, 3756, 2147, 610, 1732, 1287, 834, 31880, 27918, 7822, 995, 19331, 1564, 257, 1547, 0, 23871, 6064, 1852, 568, 4105, 607, 621, 15387, 14302, 543, 3666, 267, 6087, 6198, 5322, 267, 11226, 10688, 543, 32376, 267, 7028, 5580, 18215, 1599, 543, 11479, 2022, 1116, 6547, 269, 898, 568, 2629, 585, 6198, 7115, 543, 2949, 1134, 5630, 563, 763, 2530, 540, 17657, 10688, 1282, 14715, 8710, 666, 1267, 538, 15176, 3666, 267, 4389, 7115, 538, 3232, 2238, 267, 7244, 7965, 267, 7687, 538, 5580, 18215, 1599, 267, 9402, 32376, 267, 1981, 540, 2604, 21399, 267, 12536, 2152, 267, 543, 2942, 26447, 2360, 269, 29407, 568, 1898, 547, 2087, 4093, 538, 971, 2665, 269, 769, 16848, 267, 971, 14317, 568, 3177, 693, 519, 519, 18230, 1453, 781, 14317, 4099, 630, 17206, 5753, 781, 11233, 2098, 584, 747, 267, 18479, 517, 648, 333, 7690, 264, 3246, 1489, 543, 1533, 6361, 7308, 19603, 5574, 547, 1453, 563, 763, 1905, 1235, 917, 689, 741, 4791, 1995, 602, 17657, 1852, 568, 540, 19039, 2865, 2956, 585, 6972, 543, 585, 1210, 519, 7916, 543, 3946, 1282, 1582, 13282, 2238, 267, 552, 3052, 1421, 11067, 267, 25462, 267, 3478, 21039, 269, 11569, 267, 5355, 6972, 2702, 543, 1582, 13282, 616, 519, 1034, 4749, 5018, 3853, 538, 741, 14317, 8998, 269, 6982, 3745, 267, 789, 1223, 5063, 6166, 875, 1271, 17657, 1852, 568, 585, 891, 2238, 269, 4475, 267, 606, 6662, 267, 5730, 267, 543, 15164, 4879, 540, 17657, 1852, 568, 1360, 1271, 547, 2697, 1808, 23043, 267, 547, 1544, 513, 10531, 3797, 1982, 267, 543, 547, 14650, 3356, 540, 3797, 936, 942, 269, 5015, 267, 513, 22488, 267, 30070, 543, 14021, 17657, 1852, 2866, 1223, 3565, 3648, 547, 519, 6198, 9283, 538, 6972, 543, 1582, 13282, 2238, 540, 1082, 1453, 18460, 5778, 516, 4725, 10949, 563, 26872, 2558, 6064, 1852, 568, 4105, 607, 621, 15387, 14302, 543, 3666, 267, 6087, 6198, 5322, 267, 11226, 10688, 543, 32376, 267, 7028, 5580, 18215, 1599, 543, 11479, 2022, 1116, 6547, 19314, 3519, 1356, 940, 3797, 267, 789, 723, 1585, 3209, 4066, 547, 1404, 2685, 5721, 6972, 267, 1688, 543, 6186, 1599, 267, 610, 1850, 4887, 4222, 269, 1717, 267, 972, 616, 15991, 1022, 5010, 1949, 2139, 547, 5721, 17657, 1852, 585, 17328, 8824, 2550, 269, 4475, 267, 789, 723, 2813, 513, 3014, 547, 5721, 17657, 1852, 538, 519, 2250, 543, 789, 946, 713, 3014, 538, 741, 16758, 267, 855, 621, 666, 1152, 581, 5129, 676, 1453, 945, 666, 1694, 10446, 269, 2991, 14021, 1382, 267, 568, 4667, 602, 1100, 4066, 602, 723, 1044, 4481, 2966, 547, 5721, 17657, 1852, 538, 1453, 267, 3226, 1346, 8572, 547, 1694, 10446, 563, 2414, 7753, 713, 3668, 540, 2139, 2126, 267, 789, 723, 3323, 547, 1020, 513, 1970, 21057, 267, 1316, 27809, 476, 274, 291, 5163, 9477, 1062, 2523, 585, 1453, 269, 1358, 786, 946, 513, 476, 274, 291, 8254, 602, 729, 8385, 2919, 585, 1560, 2173, 10056, 1852, 540, 23641, 3756, 269, 901, 8254, 1062, 814, 849, 606, 7471, 1560, 9477, 269, 769, 513, 5063, 11643, 1957, 267, 789, 1223, 1397, 602, 713, 1628, 2987, 9477, 1062, 568, 711, 4977, 2614, 585, 4791, 3156, 538, 1453, 269, 5502, 267, 741, 2780, 11285, 3220, 269, 21208, 15614, 31928, 572, 267, 2919, 741, 1378, 1505, 269, 901, 2203, 1939, 525, 513, 968, 338, 651, 13987, 892, 609, 10549, 856, 540, 519, 8254, 779, 1239, 267, 3976, 3850, 547, 5173, 2242, 538, 2990, 543, 2242, 538, 4745, 7285, 18071, 2614, 6111, 538, 7403, 547, 2087, 519, 2126, 269, 0, 11754, 7675, 519, 7984, 11765, 281, 1323, 11137, 540, 17455, 2438, 15863, 11150, 454, 763, 2518, 2146, 814, 5185, 13778, 2591, 538, 519, 12687, 540, 519, 6855, 269, 22749, 267, 3906, 267, 543, 2043, 723, 1044, 25997, 547, 15260, 612, 741, 4485, 543, 1020, 2500, 2994, 547, 11574, 519, 1764, 540, 519, 6433, 563, 15900, 27800, 543, 16721, 1563, 1145, 454, 3080, 540, 519, 2565, 4245, 4121, 689, 519, 6855, 568, 519, 2956, 540, 2038, 6304, 543, 23982, 269, 18831, 602, 8045, 16190, 543, 23801, 3800, 538, 519, 3355, 5933, 941, 1732, 9280, 547, 4383, 519, 3262, 540, 519, 3644, 543, 11574, 922, 1764, 593, 1857, 1072, 543, 519, 4346, 563, 10890, 3249, 24486, 22365, 7593, 454, 4462, 557, 4979, 8921, 268, 7049, 17455, 2438, 11150, 454, 1103, 519, 29287, 13287, 540, 17420, 2518, 1072, 267, 519, 11944, 540, 8921, 268, 7049, 17455, 2438, 11150, 7436, 513, 17565, 6521, 538, 875, 649, 1935, 543, 8396, 11763, 3676, 269, 901, 2376, 7710, 519, 5499, 543, 4464, 6253, 9722, 4485, 602, 5581, 519, 1985, 5108, 540, 6855, 3210, 563, 29804, 2065, 16721, 1563, 1145, 281, 15332, 1230, 14846, 21474, 454, 9202, 268, 7049, 17455, 2438, 11150, 979, 3564, 6671, 23982, 3800, 269, 1358, 7854, 513, 11455, 1935, 602, 26779, 4359, 4066, 267, 2146, 6278, 267, 543, 3486, 5698, 269, 901, 3102, 4640, 26342, 602, 2500, 6855, 3210, 3340, 513, 15491, 543, 22537, 5943, 563, 10574, 5937, 337, 1508, 17423, 10435, 454, 4263, 519, 4295, 540, 8921, 268, 7049, 17455, 2438, 11150, 568, 1239, 12454, 3375, 6194, 563, 3725, 23728, 1944, 4270, 5174, 4370, 281, 21150, 1046, 532, 593, 25682, 2657, 9024, 328, 2510, 454, 1103, 519, 13287, 540, 513, 8902, 543, 811, 7059, 1272, 267, 9716, 1072, 7341, 616, 6932, 607, 13710, 11444, 269, 901, 2376, 12538, 883, 519, 3309, 5251, 540, 9716, 7341, 267, 3695, 875, 789, 10776, 2763, 2318, 1689, 543, 6536, 11455, 1134, 5630, 563, 9377, 1456, 25682, 2657, 9024, 328, 2510, 454, 4263, 519, 4295, 540, 713, 17565, 6521, 568, 519, 4214, 540, 9716, 1072, 7341, 269, 1452, 7854, 513, 3376, 8552, 540, 3292, 267, 2238, 267, 543, 2994, 2966, 547, 3986, 2949, 1134, 5630, 269, 3245, 5009, 2168, 8516, 543, 2790, 6043, 547, 5807, 9422, 4656, 267, 891, 7341, 2832, 547, 1711, 513, 3102, 1935, 547, 1072, 602, 0, 1103, 606, 5736, 13856, 676, 13819, 543, 11255, 2238, 267, 3237, 616, 7683, 593, 519, 1413, 719, 585, 5499, 2081, 547, 5000, 741, 1453, 547, 9784, 519, 13964, 269, 11272, 1085, 2393, 619, 267, 2523, 3631, 899, 519, 19010, 2839, 2207, 476, 279, 10790, 311, 267, 723, 7153, 607, 513, 1187, 543, 2500, 3070, 547, 713, 4161, 269, 1809, 3564, 519, 26497, 540, 519, 11878, 267, 875, 798, 3167, 1085, 2393, 619, 3565, 547, 2168, 2534, 543, 2949, 1134, 5630, 538, 3214, 888, 25911, 766, 543, 18509, 1588, 281, 29923, 519, 1148, 540, 14964, 606, 3167, 1085, 2393, 518, 3340, 3214, 547, 1020, 543, 13217, 741, 3666, 543, 11558, 269, 5272, 2490, 267, 3247, 267, 543, 10231, 568, 513, 3992, 538, 2168, 1852, 563, 15404, 2193, 22580, 281, 2552, 9009, 547, 1018, 930, 1522, 1589, 267, 14964, 606, 3167, 1085, 2393, 518, 3884, 1406, 513, 12809, 2534, 269, 8866, 4497, 538, 1585, 4887, 2516, 267, 2523, 538, 519, 7953, 267, 4295, 267, 543, 7916, 267, 607, 789, 27464, 543, 2226, 741, 14302, 563, 25205, 26210, 2657, 281, 2755, 621, 779, 711, 607, 7920, 607, 838, 11781, 532, 610, 17259, 18052, 267, 1085, 17415, 1472, 666, 21592, 513, 1126, 779, 2295, 2557, 267, 2523, 1282, 6905, 26055, 610, 950, 10188, 9867, 1768, 23230, 269, 1306, 12006, 267, 14964, 2337, 2333, 513, 1126, 779, 1973, 10009, 543, 2087, 741, 10307, 563, 6524, 15603, 707, 1126, 24680, 1055, 593, 741, 3167, 1085, 2393, 518, 267, 621, 779, 2629, 547, 1128, 650, 519, 2956, 540, 3106, 269, 29581, 1115, 267, 12597, 21181, 267, 543, 23969 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 269, 3445, 780, 763, 15895, 568, 3989, 607, 519, 3017, 1063, 519, 1384, 716, 783, 1871, 540, 586, 543, 519, 6059, 1871, 540, 586, 780, 716, 783, 1871, 540, 1535, 543, 519, 6059, 1871, 540, 1535, 692, 716, 783, 1871, 540, 586, 543, 519, 6059, 1871, 540, 1535, 780, 716, 783, 1871, 540, 1535, 543, 519, 6059, 1871, 540, 586, 780, 8802, 1833, 2079, 729, 4294, 1063, 3747, 585, 513, 1587, 630, 312, 264, 543, 519, 3902, 540, 519, 1587, 630, 311, 1070, 543, 519, 1739, 6059, 9695, 3830, 729, 5833, 563, 284, 476, 6344, 910, 476, 1015, 2473, 454, 17780, 593, 519, 1657, 6059, 9695, 3830, 267, 952, 3902, 568, 2799, 676, 476, 273, 4559, 267, 1287, 3747, 568, 4397, 547, 692, 27463, 848, 676, 476, 6344, 4559, 692, 27463, 848, 676, 476, 1911, 4559, 692, 27463, 848, 676, 476, 736, 4559, 692, 1372, 576, 848, 676, 476, 736, 4559, 692, 26594, 5276, 9695, 3340, 602, 519, 10253, 540, 6482, 581, 6829, 538, 2901, 1384, 333, 558, 1400, 610, 3921, 1400, 780, 867, 1400, 610, 5223, 780, 5793, 1998, 610, 5223, 780, 333, 558, 1400, 610, 5223, 780, 333, 558, 1400, 610, 8884, 780, 2252, 519, 11664, 540, 9756, 568, 513, 2318, 1871, 267, 1287, 519, 9695, 3830, 692, 332, 755, 723, 513, 2318, 9386, 692, 332, 755, 723, 513, 2942, 9386, 692, 322, 746, 723, 2901, 513, 2318, 610, 513, 2942, 9386, 692, 332, 755, 723, 513, 2318, 586, 18448, 692, 17357, 21975, 2079, 568, 1031, 547, 3313, 692, 1492, 3830, 540, 519, 9695, 1899, 692, 1492, 4222, 540, 519, 2078, 1063, 519, 8200, 543, 519, 4830, 4632, 692, 320, 1808, 1871, 540, 519, 8200, 4756, 585, 513, 2016, 1871, 540, 519, 4830, 4756, 692, 14085, 540, 891, 8925, 568, 2953, 780, 1103, 1931, 547, 7447, 609, 476, 4817, 260, 6015, 519, 4397, 1871, 540, 586, 538, 513, 2241, 5276, 9695, 1966, 267, 513, 4351, 3732, 540, 476, 1015, 7422, 568, 3144, 269, 6904, 540, 519, 1739, 512, 2389, 762, 2418, 7396, 2630, 1131, 581, 1031, 2496, 273, 269, 25248, 692, 273, 269, 27420, 692, 272, 269, 279, 2568, 692, 272, 269, 279, 1321, 692, 2252, 519, 2040, 540, 10945, 1813, 547, 9695, 630, 7704, 305, 264, 568, 476, 2568, 267, 799, 540, 519, 1739, 1590, 581, 3020, 2496, 763, 11664, 540, 9756, 568, 476, 271, 269, 280, 780, 763, 2698, 2040, 540, 10945, 630, 306, 4306, 264, 568, 693, 2547, 476, 2568, 780, 763, 586, 25435, 568, 2318, 780, 763, 9386, 267, 536, 267, 568, 2318, 780, 763, 11664, 540, 8990, 568, 476, 271, 269, 10037, 780, 1103, 9695, 543, 9756, 2079, 267, 952, 9399, 292, 543, 590, 4306, 616, 1634, 267, 1287, 609, 713, 1344, 519, 692, 1723, 324, 2310, 540, 8990, 666, 581, 17223, 692, 16435, 2100, 540, 519, 1899, 666, 581, 17223, 692, 312, 18448, 666, 581, 17223, 692, 343, 18448, 666, 581, 17223, 692, 763, 9695, 1899, 586, 11058, 815, 476, 274, 1341, 476, 273, 343, 814, 1044, 19034, 547, 519, 1239, 2798, 630, 275, 267, 279, 1070, 630, 273, 267, 276, 1070, 543, 630, 272, 267, 273, 1040, 634, 15895, 2040, 540, 10945, 786, 581, 1384, 1015, 780, 1428, 780, 1724, 780, 2420, 780, 763, 7299, 3262, 540, 519, 1239, 2798, 827, 519, 9695, 1899, 568, 6027, 676, 519, 1384, 2958, 1833, 11664, 780, 20598, 5470, 540, 7447, 780, 344, 25435, 780, 327, 558, 657, 1027, 2880, 640, 11664, 780, 339, 268, 7806, 1470, 780, 8698, 9509, 5403, 532, 19672 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 4477, 23992, 267, 10656, 2447, 1235, 543, 13500, 971, 607, 670, 9007, 4425, 518, 3873, 1511, 543, 7603, 727, 717, 879, 321, 6594, 741, 2550, 685, 1973, 267, 5144, 543, 10729, 269, 3245, 519, 2038, 22733, 2540, 27477, 267, 2564, 1053, 538, 2274, 16582, 543, 824, 10656, 9945, 5051, 4294, 3114, 2409, 547, 15629, 12862, 547, 1451, 1018, 519, 1560, 15538, 540, 269, 5822, 267, 594, 786, 8044, 602, 3114, 18362, 540, 15629, 12862, 5337, 1243, 1007, 2093, 543, 6436, 827, 519, 1560, 269, 23317, 1185, 6045, 519, 10009, 540, 519, 1973, 269, 634, 30243, 1637, 540, 1973, 267, 676, 4334, 267, 729, 513, 7613, 602, 1223, 1152, 581, 8947, 26947, 269, 4425, 518, 3873, 1511, 6069, 519, 6228, 540, 4105, 4229, 267, 1317, 519, 1184, 3238, 12007, 2242, 538, 3742, 267, 2713, 2339, 269, 769, 2040, 267, 1445, 28410, 593, 1007, 3114, 4603, 725, 693, 10656, 2564, 31399, 625, 786, 1683, 513, 1007, 5133, 593, 22733, 10601, 17550, 543, 21454, 563, 347, 26397, 4567, 1475, 13775, 910, 476, 3066, 11219, 592, 268, 1001, 276, 2008, 347, 30631, 1475, 1691, 628, 4139, 6837, 585, 20640, 7570, 31588, 1722, 5525, 630, 3041, 4488, 306, 476, 1001, 276, 264, 910, 661, 6652, 16443, 2160, 267, 15585, 614, 17043, 267, 13814, 2008, 291, 4851, 281, 476, 2767, 11219, 592, 268, 1001, 276, 9890, 476, 4029, 11219, 592, 268, 1001, 276, 454, 347, 3519, 12401, 1475, 1691, 628, 4139, 6837, 585, 20640, 7570, 31588, 1722, 5525, 630, 3041, 4488, 306, 476, 1001, 276, 10245, 347, 20540, 1475, 2767, 270, 5881, 270, 1001, 276, 9890, 476, 4029, 270, 5881, 270, 1001, 276, 2008, 1691, 628, 4139, 6837, 585, 20640, 7570, 31588, 1722, 5525, 630, 3041, 4488, 306, 476, 1001, 276, 994, 2767, 270, 5881, 270, 1001, 276, 9890, 476, 4029, 270, 5881, 270, 1001, 276, 305, 582, 614, 17043, 267, 13814, 0, 763, 8668, 2872, 568, 9750, 1142, 1554, 543, 865, 568, 519, 991, 585, 7384, 543, 4859, 2200, 269, 6987, 2400, 9424, 540, 1239, 616, 6383, 543, 22121, 936, 519, 4950, 799, 2417, 14122, 519, 991, 585, 811, 7384, 2200, 269, 20871, 267, 547, 1732, 31194, 741, 5092, 267, 616, 22745, 741, 5989, 547, 16012, 5691, 1436, 4066, 899, 6531, 7384, 269, 13192, 4066, 948, 15407, 519, 5383, 540, 7384, 2200, 799, 616, 3838, 936, 513, 5691, 1242, 1604, 269, 901, 6770, 721, 547, 519, 1523, 540, 4452, 13326, 538, 519, 6531, 563, 7312, 3896, 610, 513, 1357, 3498, 666, 581, 15600, 676, 1896, 3755, 693, 1022, 1448, 538, 942, 269, 898, 3587, 4101, 585, 707, 1357, 3498, 547, 4383, 782, 891, 3593, 13668, 693, 835, 942, 269, 898, 949, 1256, 1267, 538, 1062, 2736, 23957, 269, 1280, 513, 3896, 8227, 267, 4171, 3003, 960, 568, 8200, 593, 1010, 17017, 22045, 267, 519, 4743, 540, 519, 3896, 1373, 1524, 610, 711, 3015, 6770, 4503, 1761, 5561, 269, 3371, 267, 19301, 291, 298, 29651, 779, 6531, 4452, 13326, 2533, 1404, 606, 1271, 1909, 563, 30208, 20509, 13326, 568, 519, 1184, 540, 782, 20814, 24913, 543, 7384, 2200, 936, 835, 610, 811, 13763, 269, 901, 2186, 540, 14305, 5849, 5021, 998, 1584, 538, 5934, 3210, 942, 269, 634, 24913, 568, 9674, 10838, 1079, 610, 811, 13763, 267, 3060, 17103, 267, 2182, 11479, 610, 824, 7384, 2200, 267, 3976, 7175, 5488, 1062, 3210, 942, 543, 1732, 13345, 540, 2200, 269, 4935, 267, 952, 707, 3896, 568, 8391, 1164, 6808, 267, 2500, 946, 540, 6531, 4452, 13326, 666, 2327, 1870, 15364, 269, 634, 1455, 6859, 540, 1210, 4452, 2545, 19188, 616, 912, 14611, 1555, 1062, 6109, 1145, 563, 18719, 557, 1062, 2773, 563, 28406, 1996, 1062, 14286, 563, 17928, 291, 298, 29651, 2488, 922, 7218, 609, 589, 16703, 779, 4432, 2880, 20509, 7195, 22083, 263, 5085, 289, 264, 3028, 799, 568, 513, 3483, 32472, 3028, 585, 26084, 24913, 338, 269, 634, 4452, 2545, 22083, 538, 589, 16703, 4679, 519, 13337, 6043, 543, 8244, 540, 606, 3498, 269, 589, 16703, 20700, 289, 568, 519, 2582, 1448, 540, 3346, 547, 782, 519, 7218, 267, 621, 666, 581, 2366, 547, 519, 14191, 13664, 3236, 610, 519, 3236, 609, 519, 2547, 26125, 269, 4746, 267, 621, 2733, 2373, 707, 24913, 338, 2066, 1896, 2200, 267, 971, 607, 513, 14044, 18218, 610, 14044, 10724, 269, 634, 3156, 3111, 1478, 543, 8244, 786, 6175, 1813, 547, 713, 269, 634, 4452, 2545, 22083, 666, 849, 1491, 1416, 540, 707, 14238, 543, 1232, 11736, 543, 1577, 707, 12337, 2533, 798, 519, 1898, 960, 563, 1692, 1281, 589, 16703, 4432, 2880, 20509, 21344, 960, 888, 763, 2324, 6240, 540, 519, 589, 16703, 20700, 289, 568, 602, 621, 24693, 19670, 6808, 689, 922, 7218, 543, 2663, 11507, 1346, 13668, 547, 519, 9072, 799, 519, 7817, 6499, 269, 1403, 621, 9060, 606, 14432, 3077, 267, 1287, 621, 786, 3247, 28570, 532, 519, 3755, 972, 543, 1287, 7575, 609, 519, 824, 2635, 9072, 267, 2394, 602, 3077, 568, 10294, 2635, 269, 1677, 1118, 606, 20700, 289, 3398, 19670, 6808, 267, 596, 723, 547, 19022, 621, 676, 28408, 835, 610, 811, 19700, 269, 589, 26575, 568, 513, 1184, 799, 11974, 585, 4276, 13668, 563, 13510, 22355, 10851, 1700, 1411, 666, 5512, 2997, 22355, 2098, 2158, 585, 707, 589, 16703, 4452, 2545, 22083, 267, 676, 3257, 713, 513, 4452, 2545, 22083, 6843, 568, 2813, 538, 602, 2997, 22355, 18630, 269, 2037, 762, 2789, 2997, 22355, 2098, 2158, 543, 849, 1118, 2386, 602, 972, 568, 693, 2547, 835, 10805, 3077, 267, 971, 602, 519, 4452, 2545, 22083, 11507, 6808, 972, 269, 2290, 811, 5413, 540, 2348, 2789, 589, 313, 338, 568, 602, 9072, 786, 1450, 519, 4452, 2545, 22083, 547, 8905, 6808, 547, 824, 9072, 950, 1906, 9072, 3111, 563, 26794, 540, 589, 16703, 4432, 2880, 20509, 21344, 454, 11947, 7900, 3156, 454, 17928, 291, 298, 29651, 2488, 519, 11684, 589, 16703, 20700, 289, 3028, 267, 799, 7429, 824, 2757, 13413, 267, 568, 2241, 543, 1447, 7199, 547, 2936, 269, 898, 666, 1118, 707, 3498, 960, 5488, 543, 5838, 1732, 12644, 267, 693, 2539, 3790, 563, 763, 589, 16703, 20700, 289, 666, 6023, 6727, 26389, 538, 6808, 543, 666, 849, 6023, 6634, 540, 13668, 693, 513, 942, 269, 24269, 972, 568, 606, 2333, 538, 6808, 267, 519, 10081, 27214, 2718, 4183, 568, 13087, 543, 849, 4452, 13326, 3652, 568, 1031, 547, 1683, 519, 3755, 609, 606, 15774, 2773, 269, 634, 20700, 289, 3217, 519, 948, 540, 519, 6531, 779, 22231, 543, 25382, 547, 2226, 3896, 6808, 563, 288, 16703, 20700, 289, 2733, 2373, 6808, 1851, 782, 519, 9072, 14961, 267, 585, 1383, 267, 1896, 10566, 273, 263, 14976, 2880, 30770, 264, 8320, 269, 4746, 267, 20700, 289, 814, 606, 590, 6369, 540, 476, 4200, 269, 4200, 10065, 3143, 2339, 875, 1804, 519, 7662, 568, 267, 621, 666, 581, 4922, 7856, 1851, 1114, 13763, 585, 10451, 5021, 2164, 538, 5934, 3210, 942, 563, 19968, 15364, 609, 2347, 8112, 454, 763, 6662, 540, 1210, 513, 4452, 2545, 22083, 568, 547, 2149, 513, 3896, 689, 6727, 856, 1137, 269, 1879, 24913, 568, 7856, 1851, 1585, 13763, 610, 3060, 4559, 267, 1256, 952, 835, 6843, 14543, 267, 519, 11411, 666, 581, 17146, 547, 1776, 3742, 6843, 269, 20700, 289, 13071, 596, 8905, 6808, 609, 519, 3498, 779, 7379, 2232, 267, 713, 2636, 596, 547, 10131, 2789, 3156, 538, 513, 2582, 3236, 563, 20812, 8455, 4452, 13326, 454, 2791, 666, 946, 519, 1482, 20700, 289, 547, 3666, 2066, 782, 3156, 593, 707, 593, 1790, 8145, 2478, 14764, 543, 707, 589, 16703, 5989, 269, 901, 2306, 621, 1360, 2653, 547, 22109, 707, 3498, 689, 593, 1790, 8145, 1047, 547, 589, 16703, 6531, 563, 5085, 289, 1568, 609, 8835, 14044, 17721, 13192, 630, 309, 15425, 264, 547, 1683, 7347, 3354, 2934, 267, 1519, 7471, 9399, 299, 20081, 11862, 1232, 11736, 267, 15149, 2359, 267, 543, 3593, 22052, 5782, 1709, 269, 8625, 267, 621, 2488, 596, 609, 519, 8112, 547, 4383, 570, 11862, 5468, 31344, 958, 543, 1055, 2903, 17765, 14021, 24913, 338, 689, 707, 3156, 563, 21659, 755, 5464, 1299, 2912, 1746, 454, 5085, 289, 2636, 596, 547, 6895, 707, 3156, 543, 741, 2773, 538, 1483, 6066, 609, 589, 16703, 13192, 19400, 19883, 267, 14573, 543, 7662, 16439, 269, 901, 10607, 519, 15287, 883, 519, 7180, 540, 707, 3156, 267, 7114, 2773, 4420, 6352, 1815, 802, 543, 26500, 2152, 538, 707, 3498, 10518, 585, 606, 1367, 7662, 563, 3383, 267, 1759, 593, 519, 2324, 540, 519, 589, 16703, 4432, 2880, 20509, 7195, 22083, 267, 649, 666, 4063, 2789, 2640, 269, 634, 19466, 1373, 3354, 267, 609, 519, 9744, 540, 3875, 3354, 2934, 538, 4452, 2545, 19188, 593, 589, 16703, 269, 4746, 267, 519, 13412, 4452, 13326, 7207, 5849, 13916, 547, 4028, 15088, 538, 519, 3060, 6808, 3270, 269, 5015, 267, 2620, 5610, 609, 16790, 2480, 2718, 2337, 538, 4570, 908, 8101, 3498, 4390, 585, 5466, 1114, 2157, 540, 3498, 4452, 1510, 1022, 8261, 6304, 269, 4400, 8244, 543, 8112, 616, 849, 930, 540, 519, 8037, 5383, 538, 519, 2013, 540, 13412, 4452, 13326, 269, 4935, 267, 609, 2799, 25382, 267, 21336, 3599, 543, 824, 2934, 540, 589, 16703, 20700, 289, 7270, 543, 1357, 3498, 6808, 666, 3362, 581, 17411, 269, 901, 2306, 519, 589, 16703, 20700, 289, 3028, 3177, 676, 19301, 291, 298, 29651, 513, 835, 540, 513, 2186, 563, 2252, 707, 3919, 8255, 1164, 13652, 1553, 7270, 610, 12240, 602, 4309, 513, 2603, 540, 14511, 267, 19301, 291, 298, 29651, 779, 13412, 4452, 13326, 3028, 20205, 2789, 5383, 676, 17306, 4199, 946, 267, 3210, 942, 543, 1239, 6765, 269, 769, 1164, 13652, 1553, 5054, 267, 13412, 4452, 13326, 568, 1018, 2306, 3593, 13668, 979, 12347, 543, 8308, 269, 898, 838, 4100, 3755, 519, 17140, 540, 21389, 836, 1782, 609, 796, 22529, 633, 3156, 543, 2200, 269, 898, 2337, 8668, 13623, 2327, 25382, 543, 8244, 540, 2533, 269, 4706, 4434, 543, 2189, 6808, 2359, 10342, 666, 948, 513, 1870, 6023, 13668, 811, 7561, 543, 547, 519, 2953, 2200, 585, 1142, 1439, 268, 12528, 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 ]

[ 268, 11957, 540, 5904, 538, 2486, 1344, 2029, 1557, 269, 1913, 621, 568, 849, 513, 3095, 547, 3095, 1239, 1472, 519, 1158, 538, 513, 2110, 942, 269, 585, 519, 4610, 540, 563, 14112, 1557, 593, 2956, 540, 2780, 538, 938, 1272, 267, 6316, 14895, 763, 2956, 540, 2029, 538, 938, 3232, 1272, 1344, 2029, 1557, 4358, 689, 5904, 547, 5329, 3514, 267, 649, 2154, 2029, 693, 1169, 1900, 269, 2413, 2029, 814, 1831, 971, 606, 1271, 851, 540, 938, 2729, 602, 1510, 621, 269, 17824, 26641, 2029, 568, 513, 2110, 24365, 12616, 10618, 2029, 547, 269, 23675, 10530, 910, 2634, 344, 638, 1774, 13625, 1871, 2780, 2069, 2221, 267, 1557, 593, 2956, 540, 2780, 2069, 267, 3946, 593, 1514, 2090, 3446, 476, 274, 2110, 1557, 593, 2780, 2069, 269, 11957, 540, 2780, 2090, 267, 1557, 3732, 14112, 1557, 593, 2780, 2956, 540, 513, 2780, 269, 5904, 723, 1500, 513, 2603, 540, 1568, 2653, 607, 5892, 1004, 1185, 547, 1118, 741, 1870, 6589, 593, 2168, 13746, 267, 855, 1631, 1585, 8051, 3301, 568, 2139, 1813, 547, 799, 835, 666, 3362, 5965, 1870, 6589, 563, 27735, 540, 5904, 910, 5904, 2956, 538, 938, 2729, 13625, 593, 2780, 2110, 1557, 593, 2780, 2780, 1557, 875, 547, 2328, 513, 2956, 540, 2780, 2069, 1557, 1557, 1557, 593, 2956, 1909, 540, 269, 8950, 1702, 1557, 910, 1913, 910, 6505, 330, 924, 2304, 1271, 946, 540, 5904, 693, 1753, 568, 4730, 3756, 269, 1447, 942, 2921, 5904, 666, 798, 620, 582, 538, 2110, 942, 1247, 602, 4305, 666, 1491, 620, 582, 540, 942, 1247, 3257, 269, 9293, 2110, 1557, 593, 519, 2780, 1103, 519, 1699, 1158, 267, 922, 3592, 7543, 547, 4952, 602, 2576, 666, 2661, 1510, 5904, 269, 789, 723, 1831, 606, 5907, 3926, 540, 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 ]

[ 31271, 480, 7511, 420, 488, 480, 30536, 12486, 13644, 371, 10429, 486, 417, 375, 374, 21550, 495, 18263, 489, 12571, 492, 8147, 418, 490, 487, 419, 483, 356, 10429, 486, 31365, 421, 479, 491, 31308, 484, 27447, 24731, 10429, 357, 421, 481, 357, 420, 488, 480, 30536, 7511, 7407, 25707, 258, 22614, 358, 374, 14756, 497, 30536, 14085, 21251, 17958, 27447, 24731, 12486, 692, 258, 476, 7987, 494, 27447, 24662, 25051, 351, 19764, 493, 7987, 495, 454, 258, 476, 12571, 490, 31968, 30903, 502, 8147, 418, 490, 487, 419, 483, 356, 31271, 480, 418, 361, 350, 421, 479, 491, 31308, 484, 11590, 490, 9463, 487, 21550, 495, 7511, 10429, 357, 421, 481, 357, 420, 488, 480, 30536, 8147, 419, 358, 374, 21550, 376, 26166, 421, 504, 498, 12486, 692, 258, 476, 7987, 494, 27447, 24731, 25051, 351, 19764, 493, 7987, 495, 454, 258, 476, 10429, 486, 31365, 421, 479, 491, 31308, 484, 7511, 11590, 490, 9463, 487, 21550, 495, 420, 488, 480, 30536, 8147, 419, 358, 374, 21550, 376, 26166, 421, 504, 498, 12486, 692, 258, 476, 7987, 494, 21550, 371, 28032, 489, 27447, 24662, 7987, 495, 454, 258, 476, 272, 7183, 476, 274, 7183, 7183, 476, 275, 476, 276, 7183, 7183, 7183, 7183, 476, 277, 476, 278, 476, 279, 476, 280, 692, 258, 476, 7987, 494, 21550, 371, 28032, 489, 27447, 24731, 7987, 495, 454, 258, 476, 272, 476, 274, 476, 275, 476, 277, 476, 278, 476, 276, 476, 279, 476, 280, 692, 258, 476, 7987, 494, 21550, 371, 28032, 489, 13644, 368, 13107, 492, 7987, 495, 454, 258, 476, 30244, 18021, 498, 13644, 354, 23523, 486, 28997, 478, 22287, 499, 12571, 356, 8147, 419, 503, 377, 20881, 479, 26166, 692, 5035, 19219, 10031, 825, 1219, 6449, 8181, 9191, 1345, 267, 1239, 22561, 267, 2451, 22561, 267, 1318, 22561, 2187, 1038, 1582, 21606, 815, 1239, 454, 1038, 1582, 16000, 815, 2451, 454, 1038, 1582, 16192, 815, 1318, 7531, 3698, 3403, 4671, 872, 27316, 8217, 2187, 825, 15981, 3403, 519, 1239, 676, 519, 4494, 267, 1118, 513, 3529, 267, 519, 3597, 568, 6740, 538, 6843, 8217, 314, 271, 316, 18257, 692, 825, 3403, 8217, 815, 3403, 14061, 20889, 4590, 825, 561, 815, 7003, 9272, 8217, 994, 825, 6843, 8217, 6910, 263, 11966, 9272, 8217, 314, 271, 28413, 825, 585, 1775, 538, 2039, 263, 272, 267, 561, 2187, 1038, 6843, 815, 19219, 9272, 8217, 5157, 7481, 1038, 6843, 8217, 6910, 27316, 994, 1038, 952, 1775, 4939, 476, 273, 2652, 476, 272, 912, 2018, 737, 815, 630, 328, 268, 272, 264, 2260, 273, 454, 2018, 6843, 8217, 25208, 4940, 3847, 815, 6843, 454, 1038, 3116, 912, 2018, 737, 815, 630, 328, 268, 273, 264, 2260, 273, 454, 2018, 6843, 8217, 25208, 4940, 2431, 815, 6843, 7531, 3698, 21986, 531, 27316, 2187, 825, 8173, 825, 667, 28384, 454, 825, 8173, 825, 952, 6843, 2652, 7183, 912, 1038, 2132, 454, 825, 8640, 6843, 21606, 2652, 834, 14085, 13426, 1038, 2132, 454, 825, 3116, 912, 1038, 1820, 27316, 21606, 267, 1439, 8782, 30386, 825, 21986, 531, 27316, 16000, 994, 825, 21986, 531, 27316, 16192, 9239, 27161, 8217, 815, 11713, 6358, 4671, 872, 27316, 8217, 994, 10177, 951, 531, 27316, 8217, 314, 271, 7481, 0, 258, 476, 7987, 494, 25426, 362, 30903, 502, 418, 493, 493, 13213, 364, 7987, 495, 14756, 503, 24731, 13601, 418, 362, 369, 21251, 25335, 482, 420, 490, 481, 7511, 420, 489, 365, 24757, 8147, 9463, 359, 25060, 483, 12571, 360, 21211, 30006, 491, 18998, 419, 358, 374, 21550, 376, 2108, 9232, 18998, 20881, 501, 9463, 371, 2108, 2223, 18998, 9463, 354, 9463, 371, 2108, 1848, 8147, 30006, 493, 14748, 9463, 354, 31878, 23284, 9463, 354, 9463, 371, 2108, 1848, 14756, 497, 16533, 378, 12486, 28884, 418, 365, 480, 420, 364, 481, 10533, 368, 19867, 478, 20069, 420, 489, 365, 24757, 21211, 30006, 491, 7511, 27962, 16533, 493, 19540, 503, 8147, 12916, 379, 10429, 370, 418, 375, 350, 420, 370, 367, 25335, 482, 420, 490, 481, 16088, 30006, 493, 14748, 9463, 354, 31878, 421, 355, 500, 21211, 30006, 491, 27962, 19540, 503, 8147, 21211, 30006, 491, 296, 22287, 499, 419, 489, 361, 19540, 503, 24731, 28793, 27818, 4970, 353, 28032, 356, 417, 507, 485, 20992, 419, 358, 374, 21550, 376, 16043, 500, 21550, 485, 30536, 24724, 27962, 19540, 503, 8147, 10429, 370, 12916, 503, 21211, 30006, 491, 10429, 357, 421, 481, 357, 16533, 493, 19540, 503, 12486, 692, 258, 476, 7987, 494, 27447, 24662, 25051, 351, 19764, 493, 7987, 495, 27447, 24662, 12255, 29004, 362, 10429, 365, 13601, 27310, 8147, 476, 20992, 23523, 483, 420, 377, 361, 29004, 351, 7511, 420, 489, 365, 24757, 8147, 421, 499, 379, 18021, 355, 21251, 420, 370, 483, 13213, 485, 476, 1220, 476, 12486, 692, 258, 476, 7987, 494, 27447, 24731, 25051, 351, 19764, 493, 7987, 495, 27447, 24731, 19867, 478, 27447, 24662, 7511, 420, 489, 365, 24757, 27962, 16533, 493, 19540, 503, 25335, 482, 420, 490, 481, 25060, 500, 12571, 492, 7511, 14756, 497, 31563, 12486, 692, 258, 476, 7987, 494, 21550, 371, 28032, 489, 27447, 24662, 7987, 495, 5158, 1772, 2110, 267, 1775, 946, 9226, 269, 1577, 721, 946, 5124, 570, 8104, 24518, 2207, 780, 258, 476, 7987, 494, 21550, 371, 28032, 489, 27447, 24731, 7987, 495, 16908, 568, 2110, 267, 594, 946, 9226, 269, 2913, 721, 946, 9226, 1927, 780, 258, 476, 7987, 494, 21550, 371, 28032, 489, 13644, 368, 13107, 492, 7987, 495, 9463, 354, 31878, 421, 355, 500, 21211, 30006, 491, 27962, 19540, 503, 8147, 296, 27962, 19540, 503, 8147, 10429, 370, 10524, 500, 16533, 493, 19540, 503, 12486, 692, 1087, 815, 3403, 4590, 338, 815, 521, 338, 21858, 3488, 269, 30386, 338, 839, 815, 11713, 1721, 1775, 538, 521, 912, 825, 2283, 6910, 9217, 269, 5115, 1388, 1125, 15405, 258, 476, 26166, 31176, 366, 9463, 354, 31878, 23946, 370, 4970, 498, 421, 355, 500, 21211, 30006, 491, 27962, 19540, 503, 692, 8083, 839, 815, 1412, 7055, 1721, 6845, 538, 2283, 912, 825, 6845, 8217, 815, 1592, 4433, 523, 994, 825, 561, 815, 7003, 4433, 523, 8217, 994, 825, 585, 1775, 538, 2039, 10857, 2187, 1038, 952, 6845, 8217, 5157, 316, 2652, 1412, 328, 12466, 2018, 952, 1775, 2652, 476, 271, 543, 630, 2254, 6845, 8217, 314, 272, 4940, 529, 10401, 3890, 2187, 3546, 16080, 839, 815, 16080, 839, 266, 3488, 296, 5073, 2018, 8640, 1775, 3436, 476, 271, 543, 630, 2254, 6845, 8217, 5157, 266, 272, 4940, 529, 10401, 28829, 543, 630, 2254, 6845, 8217, 5157, 268, 272, 4940, 529, 10401, 3890, 2187, 3546, 16080, 839, 815, 16080, 839, 22065, 296, 7055, 2018, 3116, 912, 3546, 16080, 839, 815, 16080, 839, 22065, 328, 7055, 1038, 3116, 912, 2018, 16080, 839, 815, 16080, 839, 266, 11420, 8217, 5157, 2639, 825, 952, 2283, 28827, 4433, 523, 264, 11203, 7003, 4433, 839, 9984, 272, 912, 1038, 16080, 839, 815, 16080, 839, 266, 8339, 1412, 454, 2745, 263, 8083, 839, 994, 0, 258, 476, 7987, 494, 25426, 362, 30903, 502, 418, 493, 493, 13213, 364, 7987, 495, 454, 258, 13127, 364, 493, 302, 7511, 10951, 509, 10951, 360, 26033, 481, 13644, 499, 29873, 14756, 358, 24731, 23521, 354, 29072, 8147, 10524, 500, 418, 481, 367, 28884, 10533, 368, 419, 494, 484, 24731, 420, 485, 359, 26266, 365, 26033, 481, 23523, 501, 31006, 417, 354, 377, 7511, 26175, 495, 25203, 362, 8147, 12571, 495, 16533, 493, 299, 27384, 360, 26033, 478, 13601, 419, 499, 359, 8147, 12916, 510, 420, 25693, 27747, 362, 27747, 362, 10524, 500, 12571, 501, 5405, 509, 692, 258, 476, 7987, 494, 27447, 24662, 25051, 351, 19764, 493, 7987, 495, 454, 258, 476, 13601, 27310, 420, 489, 354, 23946, 366, 14748, 27882, 352, 10533, 368, 12255, 8147, 23989, 419, 353, 374, 16533, 493, 310, 26033, 481, 13644, 499, 26175, 495, 25203, 362, 7511, 29873, 14756, 358, 8147, 18809, 25426, 368, 17958, 419, 358, 374, 21550, 376, 26166, 421, 504, 498, 12486, 692, 258, 476, 7987, 494, 27447, 24731, 25051, 351, 19764, 493, 7987, 495, 454, 258, 476, 13601, 27310, 420, 489, 354, 23946, 366, 14748, 27882, 352, 10533, 368, 12255, 8147, 18809, 25426, 368, 17958, 419, 358, 374, 21550, 376, 26166, 421, 504, 498, 8147, 23989, 419, 353, 374, 16533, 493, 310, 29873, 14756, 358, 31006, 421, 360, 502, 7511, 26175, 495, 25203, 362, 15159, 417, 497, 359, 16583, 510, 26175, 495, 27818, 419, 376, 500, 9463, 371, 24724, 8147, 420, 489, 354, 20069, 14035, 504, 25426, 357, 26175, 495, 25203, 362, 29873, 14756, 358, 23946, 370, 28578, 31006, 421, 360, 502, 8147, 421, 480, 352, 18263, 486, 10524, 492, 16533, 493, 28996, 27962, 27447, 24731, 30244, 11590, 505, 26175, 495, 25203, 362, 27818, 419, 376, 500, 9463, 371, 24724, 12486, 692, 258, 476, 7987, 494, 21550, 371, 28032, 489, 27447, 24662, 7987, 495, 454, 258, 476, 1911, 476, 4200, 476, 7176, 476, 9032, 476, 1911, 692, 258, 476, 7987, 494, 21550, 371, 28032, 489, 27447, 24731, 7987, 495, 454, 258, 476, 272, 476, 276, 692, 637, 815, 3403, 14061, 20889, 4590, 13440, 815, 11713, 1721, 1775, 538, 2039, 12759, 263, 637, 15892, 825, 973, 6910, 17301, 263, 637, 5157, 28413, 11133, 815, 11713, 10946, 815, 973, 314, 271, 2639, 28744, 263, 13440, 994, 1721, 1775, 538, 2039, 12759, 263, 13440, 15892, 825, 952, 973, 5157, 316, 3436, 3193, 912, 1038, 1003, 269, 27234, 4590, 1038, 1003, 6910, 9217, 266, 272, 994, 1038, 3193, 815, 973, 5157, 2639, 825, 8640, 973, 5157, 316, 2652, 3193, 912, 1038, 1003, 6910, 9217, 266, 272, 994, 825, 3116, 912, 1038, 1780, 454, 1721, 1775, 538, 1003, 912, 825, 1820, 9217, 267, 754, 8782, 1412, 264, 0, 2745, 834, 8702, 547, 18206, 611, 5519, 645, 2393, 322, 2086, 645, 2255, 476, 1428, 4840, 2745, 834, 22068, 1695, 16988, 11792, 4157, 16988, 27024, 15854, 10957, 1768, 548, 6798, 327, 546, 1695, 21343, 8206, 5016, 8421, 514, 815, 8771, 454, 752, 684, 815, 27835, 343, 13263, 6020, 343, 9166, 262, 326, 10042, 287, 310, 310, 310, 262, 348, 7531, 6112, 711, 21189, 281, 1948, 704, 592, 22462, 2150, 4157, 2367, 322, 665, 758, 534, 3403, 534, 3593, 3954, 1146, 1239, 513, 330, 684, 521, 2086, 2967, 3954, 1146, 737, 1180, 27599, 1649, 541, 454, 825, 27024, 815, 6151, 17750, 2891, 5825, 20713, 2433, 19515, 825, 10957, 815, 6151, 17750, 2891, 27879, 5320, 2433, 19515, 825, 952, 27024, 2652, 513, 330, 684, 543, 10957, 2652, 513, 330, 684, 912, 1038, 3136, 454, 825, 8640, 27024, 711, 538, 513, 330, 684, 912, 1038, 1820, 2891, 303, 1263, 326, 10044, 538, 328, 22619, 752, 740, 320, 8206, 5602, 1038, 3136, 454, 825, 8640, 10957, 11203, 513, 330, 684, 314, 639, 20713, 14158, 1038, 1820, 2891, 27879, 5320, 2892, 1695, 8206, 5602, 1038, 3136, 454, 825, 8640, 10957, 2652, 513, 330, 684, 314, 639, 20713, 14158, 1038, 1820, 2891, 306, 601, 600, 520, 3611, 836, 1183, 3387, 8932, 15079, 1019, 18206, 611, 5519, 2668, 8971, 263, 639, 20713, 4917, 1038, 14827, 454, 1038, 21189, 815, 6936, 454, 0, 258, 8191, 281, 22707, 534, 631, 749, 514, 454, 18411, 763, 3119, 3483, 540, 713, 1982, 568, 547, 946, 2596, 7005, 1913, 547, 2119, 543, 8237, 1913, 1759, 593, 741, 24424, 269, 901, 666, 1287, 581, 8045, 585, 2789, 1919, 267, 1519, 513, 25229, 21747, 3834, 523, 1807, 543, 513, 688, 30884, 11718, 454, 18257, 692, 258, 4032, 519, 1297, 540, 24424, 538, 713, 7127, 454, 11687, 815, 834, 295, 320, 1731, 639, 616, 2182, 269, 6884, 789, 21645, 1118, 2631, 269, 4676, 3419, 518, 1807, 5016, 454, 341, 578, 1564, 815, 18358, 320, 3299, 1412, 324, 3299, 1412, 328, 3299, 1412, 334, 3299, 1412, 340, 262, 6540, 454, 5035, 28924, 1963, 10031, 825, 1219, 6449, 8181, 9191, 1345, 267, 2262, 2187, 1038, 1582, 269, 5320, 815, 2262, 31573, 4590, 1038, 1582, 21858, 318, 1910, 961, 1963, 815, 29129, 825, 1219, 16702, 628, 784, 4311, 2187, 1038, 16702, 628, 29330, 815, 18358, 5622, 3299, 1412, 537, 3299, 1412, 541, 3299, 1412, 16211, 3299, 1412, 1195, 3299, 1412, 528, 22779, 4449, 672, 1412, 5622, 3299, 1412, 518, 3299, 1412, 541, 3299, 1412, 534, 3299, 1412, 523, 3299, 1412, 597, 3299, 1412, 517, 23300, 1038, 1293, 815, 476, 271, 454, 1038, 1948, 585, 1775, 538, 2039, 12759, 4311, 269, 5320, 15892, 1038, 1948, 672, 952, 1582, 269, 5320, 5157, 316, 538, 24008, 543, 1582, 269, 5320, 5157, 27994, 1345, 269, 5320, 5157, 266, 272, 316, 538, 16702, 628, 29330, 912, 1038, 1948, 1363, 1293 ]

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

[ 1142, 1863, 2990, 563, 825, 8173, 825, 4604, 815, 1496, 4068, 6549, 8548, 913, 3287, 267, 3014, 264, 610, 1193, 3287, 1341, 476, 272, 264, 585, 1535, 538, 2039, 263, 280, 22708, 825, 1820, 1412, 315, 333, 262, 1341, 1412, 315, 333, 8339, 21860, 3488, 29717, 21860, 29033, 20572, 281, 343, 1341, 476, 274, 8079, 585, 1535, 538, 630, 271, 267, 476, 274, 267, 476, 277, 4297, 1341, 1412, 315, 333, 262, 7531, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1007, 14682, 877, 4590, 0, 5814, 556, 692, 5228, 2645, 1104, 1820, 318, 5976, 5332, 331, 454, 5228, 2645, 1104, 1899, 454, 5228, 5569, 1104, 1698, 6919, 7531, 3698, 1413, 318, 1721, 263, 14142, 267, 6538, 267, 1257, 272, 267, 1257, 273, 267, 1257, 274, 6889, 263, 18208, 476, 272, 547, 16718, 713, 4781, 17983, 2187, 825, 2012, 815, 3403, 6600, 257, 8923, 4283, 2715, 14142, 348, 596, 616, 3168, 585, 24097, 333, 20257, 5115, 1388, 1125, 4590, 825, 10917, 815, 476, 271, 454, 825, 1247, 2012, 711, 538, 6538, 912, 1038, 585, 1239, 538, 6538, 912, 2018, 952, 2012, 31573, 3890, 2652, 1239, 31573, 10031, 3546, 2132, 1239, 454, 2018, 952, 556, 269, 14142, 28442, 31573, 19572, 1239, 31573, 3890, 2187, 3546, 10917, 6834, 476, 272, 454, 3546, 952, 10917, 2652, 476, 272, 912, 7386, 1820, 318, 5976, 5332, 331, 2891, 2080, 616, 930, 10372, 281, 5602, 3546, 1820, 16597, 994, 1038, 952, 2012, 2652, 1412, 272, 12466, 2018, 2132, 454, 1038, 1899, 4590, 1038, 2012, 815, 3403, 18692, 2018, 535, 257, 2467, 568, 2715, 3667, 272, 348, 1412, 346, 5115, 6919, 28442, 14587, 262, 538, 1250, 6538, 4799, 2018, 535, 257, 315, 333, 8923, 4283, 2715, 3667, 273, 4153, 333, 346, 3667, 274, 4153, 333, 5602, 825, 1899, 4590, 825, 2132, 2012, 454, 0, 5228, 890, 324, 933, 324, 1104, 27661, 5228, 30220, 1104, 4266, 454, 258, 1104, 28184, 5793, 454, 258, 28184, 815, 28184, 5793, 11053, 330, 4590, 258, 17198, 815, 28184, 5793, 269, 4692, 11663, 6025, 330, 267, 8700, 284, 4335, 267, 4463, 284, 4335, 994, 258, 17198, 4877, 871, 10797, 258, 1948, 9373, 883, 2680, 31467, 26013, 713, 786, 1832, 454, 258, 1948, 4881, 707, 3498, 267, 2394, 596, 14827, 454, 258, 28184, 6230, 664, 31467, 10797, 27219, 815, 5403, 326, 637, 27942, 291, 520, 15390, 3488, 4148, 1662, 11568, 3299, 3593, 8782, 14006, 326, 637, 3299, 10957, 284, 5257, 2676, 13376, 3984, 8782, 29985, 10676, 3299, 2823, 284, 276, 6246, 273, 994, 27219, 269, 6618, 30800, 5035, 12476, 26329, 263, 26329, 17107, 825, 1362, 26426, 912, 1038, 6538, 815, 24563, 7531, 5035, 9315, 16360, 848, 26329, 2187, 825, 2243, 815, 4077, 293, 1752, 4590, 825, 2626, 815, 4077, 293, 1752, 30800, 3698, 10624, 10031, 825, 513, 815, 3403, 2891, 290, 281, 8620, 14826, 309, 281, 7348, 14826, 294, 281, 10794, 14826, 291, 281, 1546, 8541, 14826, 5602, 825, 952, 5416, 2652, 1412, 309, 262, 2187, 1038, 2070, 5472, 290, 1841, 4590, 825, 952, 513, 2652, 1412, 294, 12466, 1038, 3014, 4590, 825, 952, 513, 2652, 1412, 290, 262, 1384, 1038, 2243, 815, 3403, 2891, 301, 11246, 32530, 3582, 585, 707, 3556, 1422, 333, 5602, 1038, 2626, 815, 3403, 2891, 301, 11246, 2626, 585, 707, 3556, 1422, 333, 5602, 1038, 3556, 815, 9315, 263, 23896, 284, 23896, 267, 2626, 284, 24987, 994, 1038, 3556, 4732, 1511, 4590, 1038, 1820, 6600, 257, 346, 15258, 269, 23896, 348, 543, 2715, 15258, 269, 24987, 348, 5602, 1038, 2243, 815, 3403, 2891, 2710, 596, 1616, 547, 979, 547, 10624, 2433, 344, 14672, 19515, 1038, 952, 2243, 2652, 1412, 344, 12466, 2018, 10624, 4590, 825, 952, 513, 2652, 1412, 291, 12466, 1038, 3556, 815, 9315, 10947, 18154, 731, 269, 573, 2652, 3403, 18692, 2018, 834, 6343, 2243, 798, 596, 1616, 547, 18419, 286, 18771, 946, 9517, 1297, 27328, 1038, 3556, 19709, 8541, 318, 27349, 4590, 1038, 3556, 4732, 1511, 4590, 1038, 2243, 815, 3403, 2891, 2710, 596, 1616, 547, 979, 547, 10624, 2433, 344, 14672, 19515, 1038, 952, 2243, 2652, 1412, 344, 12466, 2018, 10624, 30800, 3698, 2070, 5472, 290, 1841, 10031, 825, 585, 3556, 538, 9315, 269, 572, 937, 10031, 1038, 1820, 2891, 27309, 3582, 834, 266, 15258, 269, 23896, 266, 257, 4888, 14684, 2207, 834, 266, 15258, 269, 24987, 9239, 3698, 3014, 10031, 825, 2953, 815, 476, 271, 454, 825, 11234, 815, 476, 271, 454, 825, 513, 815, 703, 9272, 2891, 1692, 3509, 21998, 1684, 1411, 1616, 689, 707, 16064, 286, 834, 11723, 825, 585, 3556, 538, 9315, 269, 572, 937, 10031, 1038, 952, 513, 3436, 476, 271, 912, 2018, 513, 20699, 476, 272, 454, 2018, 952, 3403, 6600, 257, 346, 15258, 269, 23896, 4153, 333, 8442, 2652, 3556, 269, 24987, 912, 3546, 2953, 6834, 476, 272, 454, 3546, 1820, 6600, 257, 8649, 870, 540, 2953, 281, 2715, 322, 8091, 348, 15419, 2018, 3116, 912, 3546, 11234, 6834, 476, 272, 454, 3546, 1820, 6600, 257, 8649, 870, 540, 11234, 281, 2715, 4532, 8091, 348, 5602, 3546, 952, 3403, 2891, 4777, 596, 1616, 547, 1294, 519, 1394, 586, 14672, 8442, 2652, 1412, 344, 12466, 7386, 1820, 6600, 257, 24987, 568, 2715, 15258, 269, 24987, 348, 257, 9239, 27219, 269, 22056, 4671, 1963, 8443, 25205, 7481, 5443, 340, 4590, 0, 26611, 23591, 24800, 270, 7090, 692, 258, 29441, 1759, 593, 912, 258, 4179, 2517, 342, 5942, 269, 24160, 11907, 8542, 14505, 10993, 270, 5891, 270, 5085, 270, 1692, 266, 2414, 266, 16966, 266, 10574, 266, 4415, 266, 23911, 692, 5814, 15259, 692, 5228, 3434, 1408, 756, 1104, 13648, 773, 297, 541, 454, 5228, 2712, 961, 756, 1104, 2712, 6352, 13892, 454, 5814, 2712, 961, 756, 273, 692, 258, 634, 3593, 22754, 602, 786, 581, 1031, 547, 6461, 6510, 1569, 547, 519, 1239, 454, 639, 20713, 815, 834, 6921, 2100, 345, 2420, 4840, 10139, 5320, 815, 834, 7476, 300, 7495, 3041, 876, 4840, 22322, 3097, 258, 634, 29250, 540, 519, 3758, 649, 6999, 547, 23074, 454, 3097, 14766, 815, 834, 10674, 2517, 324, 275, 1111, 331, 4905, 6983, 337, 30994, 7714, 10993, 19072, 5357, 288, 19072, 312, 291, 6021, 16598, 269, 22650, 270, 1001, 277, 269, 6021, 269, 1428, 19072, 312, 291, 6021, 16598, 6993, 1001, 27698, 280, 19544, 1240, 341, 6860, 269, 22650, 269, 1001, 277, 2918, 10755, 6321, 274, 275, 19544, 4206, 4840, 3097, 3097, 258, 8073, 513, 10957, 9614, 547, 4308, 609, 519, 476, 25002, 454, 258, 1065, 2945, 602, 568, 8120, 689, 3047, 10574, 8298, 514, 692, 14766, 318, 8421, 514, 815, 834, 10059, 2517, 2720, 269, 24160, 11907, 8542, 14505, 10993, 257, 3097, 10139, 5320, 318, 2006, 4526, 815, 2712, 961, 756, 273, 269, 12487, 9143, 27879, 5320, 300, 23950, 4415, 9377, 5435, 18600, 332, 4590, 10139, 5320, 318, 2006, 4526, 14491, 7272, 817, 5320, 263, 7183, 267, 29250, 318, 8421, 514, 267, 27024, 267, 10957, 12467, 3097, 258, 8073, 513, 23739, 20220, 585, 13936, 12897, 269, 901, 568, 1031, 547, 4558, 543, 2132, 454, 258, 519, 8400, 23739, 2016, 547, 946, 676, 519, 1239, 7746, 630, 1278, 3772, 621, 786, 1175, 454, 258, 1832, 11488, 721, 1394, 547, 3047, 11907, 8298, 514, 547, 6461, 6510, 1040, 476, 27814, 267, 649, 454, 258, 1058, 946, 513, 3758, 1759, 23739, 20220, 547, 8190, 12897, 1063, 8255, 269, 901, 454, 258, 786, 1118, 621, 1454, 811, 3608, 563, 322, 809, 773, 19553, 541, 815, 13648, 773, 297, 541, 10797, 258, 12305, 782, 519, 1688, 6840, 563, 641, 10273, 815, 2712, 961, 756, 273, 12500, 4265, 318, 641, 10273, 18692, 825, 2712, 961, 756, 273, 269, 12487, 9143, 21995, 288, 3578, 21652, 2401, 9638, 817, 5320, 318, 2006, 4526, 13211, 825, 1948, 584, 961, 756, 273, 269, 12487, 9143, 21652, 2401, 263, 1372, 30132, 24038, 284, 272, 1070, 825, 1948, 1133, 1260, 618, 891, 1079, 3515, 547, 1294, 454, 825, 1948, 584, 961, 756, 273, 269, 12487, 307, 4916, 21652, 2401, 263, 1372, 30132, 24038, 284, 272, 1070, 567, 1948, 3877, 540, 519, 13668, 270, 22529, 525, 454, 825, 2712, 961, 756, 273, 269, 12487, 9143, 290, 809, 773, 3682, 19485, 6262, 809, 773, 19553, 541, 11723, 584, 961, 756, 273, 269, 13318, 718, 318, 641, 10273, 263, 641, 10273, 994, 3097, 3097, 258, 8073, 543, 10505, 519, 7662, 269, 1703, 616, 513, 2647, 2039, 540, 17756, 602, 454, 258, 666, 581, 16207, 1934, 267, 1519, 26824, 13286, 543, 772, 305, 4041, 337, 2928, 269, 1452, 1058, 581, 454, 258, 9575, 543, 17411, 563, 7528, 652, 815, 2712, 961, 756, 273, 10611, 3225, 652, 263, 14766, 994, 24978, 815, 2712, 961, 756, 273, 269, 14766, 13449, 263, 7528, 652, 2020, 258, 5192, 3758, 454, 325, 4067, 815, 15259, 29624, 12500, 553, 17575, 263, 29250, 12467, 321, 2435, 18316, 815, 3210, 18667, 10797, 325, 815, 1930, 263, 535, 4067, 267, 1412, 342, 262, 12467, 325, 22182, 263, 9352, 18316, 12467, 325, 25379, 30800, 3097, 0, 1029, 9188, 5524, 1029, 815, 26444, 12163, 7049, 4733, 513, 1007, 2637, 9189, 303, 1156, 9189, 24961, 609, 14477, 8655, 1024, 8040, 563, 20701, 1029, 10461, 1029, 815, 834, 28061, 808, 269, 4498, 916, 4840, 1029, 11845, 1029, 815, 834, 1708, 272, 268, 6021, 268, 736, 5016, 5814, 575, 10975, 777, 692, 5814, 11885, 607, 5286, 692, 5814, 5299, 267, 621, 1068, 8962, 692, 3201, 15771, 5723, 292, 4811, 815, 2715, 257, 12711, 9899, 257, 3722, 291, 9128, 21203, 31082, 299, 300, 23259, 304, 305, 4306, 309, 310, 312, 20350, 17264, 834, 323, 3534, 9899, 257, 3722, 28566, 20350, 17264, 834, 337, 3534, 9899, 257, 3722, 294, 308, 20350, 17264, 834, 15893, 9899, 257, 23713, 24833, 277, 4281, 280, 257, 10926, 3698, 9041, 338, 2217, 318, 531, 8224, 4433, 727, 318, 531, 8224, 267, 16341, 20311, 2187, 825, 678, 12163, 825, 15932, 569, 2824, 930, 1297, 540, 5439, 689, 9904, 269, 630, 5591, 5470, 10992, 6393, 825, 930, 318, 531, 8224, 281, 5569, 270, 4289, 540, 2418, 454, 825, 930, 20311, 281, 930, 1297, 547, 3732, 454, 825, 29185, 825, 930, 318, 531, 8224, 815, 1592, 4433, 727, 318, 531, 8224, 2020, 825, 1948, 6423, 952, 2898, 9904, 568, 2338, 563, 825, 782, 5332, 10179, 545, 815, 6936, 454, 825, 547, 5334, 677, 815, 11713, 825, 585, 513, 538, 930, 318, 531, 8224, 912, 1038, 2119, 912, 2018, 547, 5334, 677, 6910, 9230, 842, 5416, 1070, 320, 4917, 1038, 4849, 630, 13911, 13286, 267, 19368, 13286, 2187, 2018, 782, 5332, 10179, 545, 815, 8771, 454, 2018, 2736, 692, 825, 1948, 1403, 782, 2338, 267, 4990, 543, 2132, 1101, 930, 20311, 9704, 454, 825, 952, 782, 5332, 10179, 545, 912, 1038, 547, 5334, 677, 31699, 4590, 1038, 9904, 815, 1496, 320, 314, 272, 316, 585, 513, 538, 547, 5334, 677, 2639, 1038, 2132, 9904, 11468, 16341, 20311, 6540, 825, 1948, 19227, 267, 1175, 2824, 2829, 14477, 454, 825, 3116, 912, 1038, 2132, 1592, 18828, 20179, 26716, 4069, 4433, 727, 318, 531, 8224, 267, 21653, 284, 16341, 20311, 267, 516, 2897, 25716, 264, 9239, 3698, 5352, 14682, 10975, 26028, 843, 6943, 22561, 2676, 4449, 13592, 22561, 2676, 4449, 3135, 9078, 629, 1564, 22561, 2676, 4449, 1003, 5334, 2572, 284, 276, 2676, 4449, 1003, 14067, 919, 30648, 5334, 924, 284, 273, 2676, 4449, 9904, 22561, 2676, 4449, 3193, 318, 2102, 8040, 284, 14530, 5881, 273, 2187, 825, 678, 12163, 825, 2637, 4733, 513, 2637, 9189, 303, 1156, 9189, 24961, 609, 1585, 1024, 8040, 780, 825, 3552, 6943, 2433, 5569, 454, 1038, 3552, 6943, 5311, 269, 952, 711, 9138, 267, 4020, 17062, 3552, 6943, 689, 454, 1038, 13592, 1592, 780, 825, 13592, 2433, 1592, 6438, 454, 1038, 1403, 9138, 267, 713, 936, 337, 1938, 1003, 5334, 2572, 543, 1003, 14067, 919, 30648, 5334, 924, 269, 901, 454, 1038, 666, 1491, 723, 1079, 3029, 1384, 1038, 476, 272, 264, 3807, 899, 513, 6093, 2637, 9189, 303, 1156, 9189, 24961, 1289, 267, 713, 1223, 581, 513, 1592, 454, 1038, 540, 8638, 267, 609, 835, 1592, 829, 3135, 269, 634, 4835, 8638, 3180, 519, 15817, 454, 1038, 9904, 585, 1142, 3135, 269, 1280, 1383, 267, 13592, 17342, 14277, 288, 14824, 289, 257, 3910, 14277, 288, 257, 14963, 1131, 454, 1038, 1711, 513, 4786, 609, 2829, 834, 288, 257, 543, 834, 289, 257, 693, 519, 1101, 3135, 543, 1533, 834, 288, 257, 693, 454, 1038, 519, 2034, 3135, 269, 10691, 292, 281, 952, 3552, 6943, 568, 9138, 267, 922, 2829, 1590, 581, 454, 1038, 538, 519, 13592, 1592, 269, 589, 3552, 6943, 5311, 834, 10621, 257, 1131, 581, 15095 ]

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

[ 676, 1776, 533, 11921, 563, 268, 4563, 781, 1152, 2707, 540, 4831, 2452, 568, 593, 519, 15438, 728, 910, 1010, 546, 277, 5174, 12360, 267, 552, 277, 7304, 809, 267, 552, 275, 11860, 9519, 267, 543, 10348, 616, 782, 3750, 532, 602, 1858, 563, 268, 4563, 781, 536, 278, 5174, 12360, 267, 799, 568, 21108, 546, 276, 568, 4730, 513, 17033, 17872, 1909, 563, 268, 4563, 781, 4158, 1606, 32464, 21674, 568, 4758, 6109, 1489, 547, 519, 524, 278, 1790, 11921, 1247, 849, 4730, 513, 1883, 1909, 538, 1022, 15438, 728, 4323, 563, 268, 6519, 781, 536, 273, 5174, 12360, 568, 29680, 563, 301, 269, 10374, 910, 808, 269, 7033, 2006, 267, 570, 650, 7921, 476, 1960, 272, 454, 2005, 781, 2312, 602, 6519, 568, 538, 2347, 1852, 540, 713, 2990, 13463, 22595, 519, 546, 1922, 850, 630, 28387, 7432, 3109, 781, 681, 23697, 883, 12809, 4715, 2209, 264, 543, 1010, 10348, 568, 16119, 1671, 935, 1027, 593, 835, 540, 3109, 781, 18604, 15438, 728, 4158, 10945, 269, 3371, 596, 949, 581, 5185, 609, 513, 3908, 2179, 540, 3681, 2390, 875, 547, 2417, 23309, 519, 15438, 728, 4158, 10945, 563, 268, 31436, 276, 568, 519, 6654, 11134, 32717, 682, 2355, 547, 513, 4158, 4009, 543, 27938, 547, 14299, 593, 535, 278, 269, 10251, 267, 476, 272, 1862, 304, 343, 326, 273, 266, 1131, 2322, 513, 2481, 704, 593, 3043, 781, 16873, 563, 268, 681, 325, 275, 3217, 909, 15335, 593, 535, 275, 543, 30242, 547, 1246, 909, 609, 681, 343, 325, 278, 267, 855, 476, 272, 1862, 304, 343, 323, 278, 1131, 581, 19849, 23035, 563, 268, 1656, 713, 3762, 1152, 835, 824, 3043, 4062, 602, 666, 5397, 1524, 519, 4158, 30026, 19814, 22554, 781, 3751, 2336, 300, 22389, 630, 300, 778, 264, 1299, 7698, 4517, 1320, 805, 338, 630, 12385, 264, 5288, 269, 1955, 4472, 1734, 630, 296, 3387, 320, 994, 2080, 8125, 2006, 7475, 519, 3184, 609, 513, 1187, 543, 16367, 3014, 998, 519, 4064, 540, 1614, 1114, 2010, 540, 5716, 269, 7557, 568, 519, 1826, 540, 1268, 945, 9909, 540, 3206, 899, 513, 3684, 269, 4223, 568, 513, 18560, 945, 6487, 4986, 540, 20817, 267, 855, 11394, 547, 2661, 543, 5884, 676, 519, 834, 10267, 1087, 568, 827, 1570, 543, 6937, 257, 2247, 3613, 3195, 269, 1955, 9346, 267, 2705, 267, 568, 606, 19261, 7192, 20601, 5964, 563, 9616, 281, 7557, 543, 4223, 786, 581, 1732, 693, 9819, 267, 1247, 1955, 9346, 786, 723, 513, 9120, 1702, 540, 6679, 3069, 269, 4746, 267, 713, 3014, 568, 1257, 5230, 256, 2336, 763, 1448, 540, 602, 1383, 729, 602, 789, 2099, 1614, 1483, 1480, 2010, 912, 1103, 606, 2085, 1141, 1169, 3978, 6345, 814, 513, 3532, 21802, 2599, 267, 594, 4312, 630, 22068, 2006, 264, 14478, 513, 21802, 6855, 2408, 602, 781, 7429, 4376, 2479, 2938, 1354, 269, 2755, 1739, 2661, 6264, 24490, 3756, 267, 519, 13999, 540, 21802, 11655, 782, 7985, 689, 513, 3838, 21802, 2618, 2670, 910, 789, 1589, 789, 917, 4010, 1018, 781, 2469, 593, 269, 5440, 531, 990, 4249, 930, 5393, 1950, 1847, 543, 5215, 2328, 538, 552, 24809, 796, 2581, 267, 834, 12749, 531, 990, 568, 476, 272, 269, 6349, 909, 256, 1261, 781, 2469, 547, 3094, 10590, 1358, 616, 1612, 549, 1154, 741, 2599, 781, 4879, 267, 855, 789, 3100, 547, 12161, 621, 585, 741, 1378, 269, 1358, 588, 732, 693, 741, 3684, 781, 4028, 1922, 790, 16802, 540, 7575, 267, 855, 798, 789, 1174, 1946, 621, 781, 2857, 2056, 873, 286, 2290, 1522, 1589, 602, 513, 21802, 6345, 1131, 1294, 3564, 519, 21903, 543, 711, 25657, 1010, 1378, 9342, 609, 1346, 540, 1010, 2780, 269, 19759, 569, 267, 713, 568, 1419, 711, 519, 2013, 269, 1656, 713, 1482, 834, 650, 1145, 257, 11438, 936, 547, 2022, 531, 21802, 543, 2079, 563, 8170, 1576, 267, 2899, 891, 2780, 10276, 327, 2331, 11655, 1491, 851, 538, 606, 936, 7308, 1532, 13635, 29658, 267, 741, 7301, 4641, 3533, 26301, 543, 17236, 269, 1809, 789, 666, 849, 581, 4547, 1524, 547, 3047, 676, 513, 1906, 1913, 689, 513, 1434, 21802, 4116, 269, 2353, 646, 2115, 547, 2307, 630, 517, 576, 606, 4277, 2990, 5526, 264, 568, 267, 834, 1432, 781, 2469, 593, 1934, 8119, 1656, 10393, 606, 9237, 2875, 786, 8275, 602, 646, 781, 13587, 1882, 5128, 256, 4595, 646, 18387, 1405, 27058, 519, 20817, 267, 646, 666, 1405, 2626, 519, 2243, 538, 1022, 2620, 543, 11579, 7992, 6073, 269, 1656, 10213, 519, 4116, 602, 865, 7146, 27940, 568, 476, 271, 269, 6246, 6619, 10665, 593, 519, 1202, 2033, 269, 589, 21802, 2599, 666, 581, 1360, 3730, 267, 855, 621, 666, 849, 2490, 883, 513, 1835, 8553, 602, 2965, 11151, 596, 689, 5355, 563, 300, 778, 729, 2813, 547, 1397, 875, 18864, 14659, 899, 513, 2780, 267, 6862, 1131, 649, 1616, 547, 269, 4258, 1087, 568, 513, 3014, 3638, 538, 7553, 267, 1148, 267, 519, 19060, 540, 6735, 267, 543, 519, 7772, 540, 5137, 269, 20837, 338, 540, 7648, 543, 10268, 2338, 630, 271, 269, 2641, 264, 2490, 513, 3636, 267, 5393, 1480, 3014, 883, 1945, 4411, 543, 26968, 762, 563, 2691, 596, 1810, 1405, 723, 513, 9787, 540, 519, 20817, 267, 596, 2811, 2451, 609, 11613, 4986, 267, 610, 630, 553, 538, 519, 2013, 540, 4223, 264, 609, 13946, 2006, 9238, 899, 4323, 267, 9718, 267, 6937, 267, 543, 9819, 269, 1452, 616, 1434, 1919, 910, 22336, 821, 2115, 873, 269, 1809, 568, 713, 5187, 2065, 13235, 1935, 782, 596, 1616, 585, 3054, 888, 15987, 1955, 9346, 7948, 1405, 5173, 3833, 607, 7184, 607, 1010, 17837, 267, 646, 4718, 2484, 811, 982, 2901, 540, 1010, 535, 3996, 269, 634, 20817, 5795, 1864, 513, 1134, 25454, 2990, 531, 2069, 602, 6035, 1864, 513, 4396, 1620, 540, 1312, 9602, 11979, 7158, 543, 5857, 704, 6422, 3283, 563, 7883, 1394, 543, 1413, 693, 782, 519, 8292, 269, 898, 781, 2312, 602, 1955, 9346, 729, 519, 1152, 835, 602, 1185, 1022, 2856, 827, 519, 2990, 781, 11580, 543, 10700, 4502, 269, 3767, 649, 2490, 547, 596, 267, 519, 5467, 540, 713, 1433, 269, 1411, 1522, 711, 5173, 1360, 1134, 267, 610, 596, 1522, 5173, 1732, 982, 1955, 9346, 267, 855, 9327, 1405, 596, 2864, 581, 538, 1955, 9346, 781, 10887, 286, 1403, 865, 267, 596, 2811, 593, 707, 1259, 547, 16565, 519, 1702, 602, 1034, 5716, 3274, 1810, 1405, 723, 563, 9616, 281, 898, 781, 2141, 513, 1434, 3364, 952, 596, 723, 519, 2702, 547, 5173, 3533, 543, 7184, 267, 855, 1702, 540, 519, 20817, 786, 1419, 1205, 596, 676, 267, 1256, 952, 707, 6207, 3970, 568, 513, 1079, 11399, 31644, 1847, 5311, 563, 307, 1779, 547, 519, 8274, 543, 898, 4024, 13185, 547, 1411, 454, 25444, 814, 930, 4990, 540, 4835, 5188, 950, 621, 781, 741, 2490, 547, 1847, 269, 4107, 5716, 588, 732, 10145, 569, 693, 519, 4604, 543, 1589, 267, 834, 296, 979, 972, 543, 646, 4422, 972, 543, 594, 979, 972, 543, 646, 4422, 972, 10590, 898, 781, 6986, 9819, 267, 2356, 1759, 593, 4250, 267, 14699, 267, 610, 3274, 519, 7287, 547, 1265, 1945, 910, 1415, 3364, 268, 602, 4667, 10257, 269, 1717, 267, 952, 594, 11074, 596, 689, 12719, 543, 4280, 2676, 257, 4692, 596, 8231, 958, 2736, 713, 2990, 1524, 585, 803, 24350, 1862, 1492, 12918, 616, 602, 707, 2626, 9327, 1405, 581, 11000, 2914, 20564, 269, 5269, 1100, 12161, 827, 713, 281, 693, 1022, 2016, 4090, 267, 596, 1058, 581, 2111, 547, 11000, 824, 5716, 827, 519, 5294, 543, 931, 540, 1022, 2990, 596, 3914, 256, 1656, 267, 952, 596, 666, 1405, 2322, 707, 14853, 593, 519, 13942, 540, 519, 2990, 267, 952, 596, 1810, 1405, 917, 1018, 1312, 5011, 991, 547, 9585, 267, 1287, 875, 616, 596, 2469, 547, 1265, 519, 1318, 1847, 286, 898, 781, 899, 6998, 585, 6117, 8846, 547, 606, 7164, 1747, 563, 1607, 568, 1946, 1034, 5716, 1745, 4503, 693, 4262, 269, 1358, 1745, 789, 1810, 1405, 917, 1018, 781, 2469, 593, 267, 543, 865, 2119, 547, 15429, 909, 519, 18015, 676, 3168, 585, 6937, 543, 5924, 3168, 585, 2081, 547, 1711, 873, 269, 1358, 917, 1945, 781, 4636, 910, 1945, 781, 7508, 269, 1809, 789, 1810, 1405, 917, 1018, 547, 798, 827, 621, 267, 543, 713, 5932, 513, 4743, 540, 1379, 16531, 563, 307, 6412, 803, 950, 594, 2995, 596, 602, 621, 3085, 1405, 723, 547, 581, 713, 1259, 563, 2005, 781, 942, 547, 1205, 513, 3787, 21173, 910, 4495, 596, 4487, 519, 20817, 630, 663, 952, 596, 1224, 713, 1433, 689, 4098, 547, 1439, 267, 596, 786, 4487, 519, 20817, 256, 1070, 621, 786, 581, 942, 547, 1205, 909, 2673, 543, 2123, 609, 519, 4604, 269, 769, 2489, 267, 596, 666, 4137, 856, 513, 1434, 4308, 827, 1022, 2990, 676, 3257, 519, 1739, 912, 763, 14022, 3042, 18484, 5494, 6847, 454, 268, 5269, 2386, 596, 616, 3222, 540, 1022, 19020, 6937, 676, 519, 18545, 543, 849, 798, 513, 2656, 3406, 585, 1022, 2596, 28365, 4798, 602, 1522, 581, 1459, 563, 268, 1306, 322, 1643, 519, 20817, 585, 1312, 5011, 563, 268, 3973, 2307, 519, 4604, 630, 514, 606, 4835, 5188, 1070, 834, 1432, 1847, 610, 3126, 540, 7575, 13290, 547, 1491, 5413, 540, 891, 2188, 24350, 9616, 281, 8125, 2006, 17613, 602, 596, 1058, 711, 581, 1310, 4566, 829, 694, 267, 855, 2864, 7575, 602, 8597, 547, 519, 20817, 269, 0, 14240, 540, 1412, 553, 5155, 7055, 15862, 540, 1412, 553, 5155, 7055, 15100, 25120, 22131, 20607, 1105, 4157, 267, 9505, 614, 18450, 454, 7078, 5220, 5627, 1412, 553, 5155, 7055, 4322, 1806, 723, 1044, 8850, 5697, 543, 949, 2270, 6213, 1543, 269, 3367, 811, 7498, 22818, 1317, 594, 15422, 602, 4832, 267, 1279, 3516, 267, 6456, 1851, 519, 607, 5155, 4054, 269, 27699, 3036, 303, 12778, 24202, 16692, 26059, 630, 1960, 273, 264, 2005, 10443, 998, 5394, 1115, 540, 607, 5155, 543, 536, 1023, 600, 1402, 24882, 543, 729, 1129, 14006, 539, 547, 589, 19520, 15880, 543, 631, 2313, 8235, 269, 670, 26996, 5254, 13263, 630, 1960, 273, 994, 307, 516, 2738, 540, 1412, 553, 5155, 7055, 5825, 539, 12769, 31531, 269, 607, 5155, 568, 835, 540, 519, 476, 4968, 876, 1034, 4122, 1031, 1913, 538, 519, 19811, 8675, 454, 8698, 6165, 585, 912, 9558, 331, 725, 585, 1412, 553, 5155, 7055, 23873, 2296, 281, 607, 5155, 715, 5495, 301, 454, 2304, 607, 5155, 568, 513, 7381, 3529, 609, 3762, 602, 1847, 513, 2603, 538, 519, 2842, 563, 14240, 540, 607, 5155, 689, 519, 19811, 2296, 9218, 454, 763, 1893, 540, 2648, 281, 476, 276, 2081, 547, 2769, 707, 2648, 593, 27223, 779, 4303, 454, 1103, 519, 2344, 585, 930, 1007, 2474, 540, 1439, 792, 618, 286, 3371, 779, 519, 29721, 3297, 930, 540, 519, 1034, 2442, 563, 8512, 2290, 281, 1133, 24286, 13495, 18288, 609, 6754, 32201, 454, 2171, 2366, 835, 540, 519, 19811, 2319, 585, 513, 835, 3562, 14633, 1565, 1995, 609, 519, 812, 5128, 267, 543, 1934, 779, 875, 789, 1336, 851, 835, 540, 519, 1576, 563, 18794, 519, 19811, 2146, 454, 5472, 519, 5767, 2262, 344, 3377, 267, 10409, 4030, 267, 3091, 543, 19194, 1169, 3923, 269, 0, 7197, 1004, 3858, 602, 1004, 945, 6057, 2831, 616, 16970, 269, 1809, 972, 781, 606, 9687, 1899, 540, 3206, 602, 676, 3168, 693, 891, 10963, 1996, 2831, 267, 3006, 596, 666, 849, 1118, 513, 4276, 547, 824, 10963, 2443, 1996, 1004, 610, 3959, 2443, 899, 6469, 5208, 267, 1126, 6057, 267, 818, 5459, 610, 1256, 12638, 563, 27154, 6057, 543, 824, 10963, 1996, 2831, 616, 1419, 519, 5452, 602, 1332, 883, 2484, 811, 3978, 10963, 269, 1280, 1383, 267, 476, 2004, 260, 540, 22850, 1235, 543, 835, 21017, 540, 1126, 18253, 1562, 2161, 789, 26884, 2831, 538, 741, 6107, 269, 21009, 540, 26722, 22850, 1235, 543, 513, 3791, 540, 1126, 18253, 1562, 4080, 22867, 3662, 6057, 1282, 6689, 610, 18273, 269, 589, 9628, 17318, 4972, 1353, 968, 516, 557, 4705, 513, 1376, 1782, 4412, 3748, 585, 25476, 9901, 609, 10963, 1996, 2831, 547, 3479, 824, 10795, 1055, 5151, 4724, 1480, 9601, 1848, 4329, 267, 834, 320, 5619, 540, 2021, 538, 6469, 8686, 2723, 775, 24181, 8612, 602, 476, 10170, 260, 1185, 4891, 945, 26884, 610, 12219, 547, 6057, 10130, 4799, 6826, 2386, 547, 6443, 721, 13638, 267, 4728, 476, 736, 628, 267, 950, 3220, 269, 8585, 1188, 786, 912, 268, 1865, 875, 3662, 28877, 13753, 666, 1489, 824, 2010 ]

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

[ 2013, 602, 22851, 707, 5304, 593, 2789, 2157, 269, 5015, 267, 9301, 1455, 2887, 9313, 543, 9319, 873, 538, 707, 1378, 1603, 786, 7794, 707, 2949, 4661, 543, 22937, 3152, 26117, 547, 707, 6811, 780, 7661, 267, 12180, 707, 4555, 538, 513, 2312, 543, 13801, 6073, 568, 4105, 585, 4180, 602, 707, 5048, 1281, 711, 1205, 4503, 9624, 12721, 2093, 269, 589, 6093, 10388, 1557, 5205, 513, 2947, 24733, 4588, 2497, 9967, 540, 606, 4367, 267, 1614, 1560, 9433, 267, 543, 513, 3932, 269, 10738, 713, 5943, 267, 1142, 3296, 5713, 513, 3982, 3483, 281, 519, 4367, 19306, 519, 5467, 781, 3007, 267, 12857, 519, 1888, 267, 6799, 519, 5098, 3948, 267, 543, 14592, 519, 1292, 2798, 282, 519, 1560, 9433, 1683, 2963, 267, 2079, 267, 543, 1806, 5885, 519, 3844, 3409, 282, 543, 519, 3932, 26564, 519, 1883, 4681, 267, 1964, 919, 519, 5098, 267, 543, 3091, 3803, 24616, 269, 1520, 17518, 547, 713, 10721, 4806, 2636, 596, 547, 1459, 513, 1134, 3613, 19099, 4661, 602, 8928, 25401, 689, 4098, 547, 1439, 780, 3086, 602, 649, 723, 4988, 519, 4909, 3334, 540, 10388, 1603, 267, 1577, 721, 2490, 938, 3007, 2509, 7311, 891, 2035, 1369, 519, 2796, 540, 6752, 1374, 543, 2029, 269, 13018, 267, 649, 786, 4983, 1079, 10296, 4145, 4867, 6849, 519, 2872, 281, 6940, 543, 13784, 269, 3414, 6297, 7156, 540, 891, 10562, 4798, 267, 596, 786, 11349, 513, 4514, 7071, 585, 519, 1909, 602, 10388, 11407, 4249, 538, 5935, 1857, 8226, 543, 6117, 6209, 1689, 780, 8893, 5565, 281, 12655, 13756, 538, 22960, 5071, 543, 5303, 692, 2026, 2518, 4656, 3823, 2916, 1689, 5170, 547, 1332, 267, 1082, 6080, 31251, 6752, 1765, 732, 29270, 741, 2825, 11640, 543, 5275, 2081, 547, 2569, 3653, 267, 18359, 2200, 267, 543, 3895, 1279, 3856, 8733, 3666, 269, 901, 3350, 2509, 6940, 814, 3366, 547, 2799, 22987, 540, 2757, 5663, 3157, 543, 6273, 5499, 3435, 6322, 693, 10893, 2800, 1510, 18731, 2298, 610, 15312, 269, 1306, 14971, 4589, 540, 11174, 15923, 5059, 593, 7802, 543, 10571, 267, 621, 568, 16122, 602, 596, 1174, 519, 16082, 4478, 713, 3390, 543, 1020, 5483, 8369, 1759, 593, 3280, 1382, 543, 2565, 3206, 780, 2414, 2253, 267, 24559, 3054, 609, 519, 1739, 2474, 543, 2035, 4122, 2404, 609, 4264, 6752, 281, 9764, 4346, 267, 27500, 2326, 267, 4023, 4123, 267, 3500, 6752, 267, 909, 19464, 267, 543, 4642, 2914, 4292, 1374, 269, 3962, 2165, 4564, 513, 2189, 2460, 540, 4264, 2259, 543, 8309, 547, 606, 5571, 5188, 827, 3743, 4616, 543, 2504, 269, 3958, 267, 1491, 4063, 540, 9565, 3906, 971, 607, 22960, 7169, 543, 5682, 701, 864, 267, 799, 12167, 585, 11413, 267, 12477, 267, 543, 5683, 3375, 6194, 1369, 519, 6752, 2872, 780, 5629, 596, 4865, 513, 4396, 5748, 538, 4264, 6752, 16166, 543, 1883, 5716, 267, 4497, 538, 2417, 7634, 676, 7421, 14046, 4930, 267, 3377, 5359, 267, 543, 1514, 2923, 11044, 10704, 1472, 10357, 7888, 7341, 269, 9796, 1880, 3007, 547, 3811, 6725, 3646, 602, 3927, 5968, 519, 2640, 540, 12561, 4264, 2853, 267, 607, 1134, 607, 2591, 5185, 676, 3549, 12394, 547, 2936, 22928, 4507, 269, 1306, 596, 5531, 1344, 267, 2992, 593, 707, 2123, 2833, 609, 6752, 543, 2015, 875, 707, 6208, 5447, 609, 630, 528, 1821, 5573, 689, 264, 4264, 19237, 780, 9202, 267, 25666, 513, 5098, 3948, 602, 20206, 12885, 707, 18879, 593, 4264, 6752, 269, 2659, 25195, 1223, 2232, 1585, 3344, 540, 519, 3390, 267, 1519, 7082, 2623, 267, 9746, 5539, 267, 610, 2229, 7939, 269, 17859, 540, 519, 5086, 596, 3442, 267, 2327, 602, 707, 5098, 9356, 707, 9488, 6514, 540, 2139, 1239, 543, 9727, 513, 13857, 1620, 540, 519, 10848, 7915, 538, 5009, 6940, 1369, 519, 6752, 2872, 780, 15563, 267, 17492, 513, 10388, 1557, 19163, 585, 610, 1996, 707, 6074, 2990, 593, 4264, 6752, 269, 22982, 23674, 2959, 267, 2502, 6386, 267, 543, 10388, 2553, 5941, 4505, 538, 713, 1770, 547, 6655, 707, 5048, 5693, 543, 3196, 2685, 269, 5457, 547, 2226, 1843, 2032, 950, 9306, 15852, 5784, 543, 11441, 547, 771, 1301, 1761, 1843, 687, 998, 2601, 539, 7440, 20483, 676, 12170, 2963, 269, 11086, 267, 707, 3804, 568, 547, 8300, 2962, 1851, 707, 3988, 543, 3565, 25006, 547, 519, 6626, 6643, 7282, 4264, 6752, 1374, 543, 2029, 780, 8893, 8422, 281, 32213, 5071, 538, 22960, 543, 4706, 20556, 547, 20885, 692, 26589, 2515, 3395, 6161, 585, 519, 1604, 267, 1776, 1713, 7678, 18534, 12686, 519, 6752, 5251, 25701, 547, 13784, 1765, 4067, 569, 267, 8888, 23157, 602, 13918, 513, 2647, 2039, 540, 1560, 2010, 267, 5759, 267, 6502, 267, 25469, 267, 14797, 267, 543, 4529, 269, 1635, 8508, 4763, 543, 5807, 6041, 267, 4464, 6253, 9722, 12478, 2832, 547, 4161, 6848, 8155, 267, 7668, 12790, 2950, 267, 543, 6038, 267, 5397, 6455, 269, 1717, 267, 8236, 3020, 10014, 3340, 811, 982, 3274, 9750, 2450, 9832, 610, 10023, 26173, 2516, 538, 10229, 11044, 282, 2864, 267, 621, 19329, 513, 11455, 1935, 16135, 538, 6568, 267, 2463, 267, 543, 5698, 780, 2414, 6536, 8537, 3206, 1369, 707, 1378, 1603, 267, 1376, 676, 14344, 519, 6228, 540, 11528, 7496, 7303, 12581, 1569, 547, 6752, 269, 6201, 1331, 3908, 8244, 540, 13261, 7802, 585, 1004, 609, 9124, 267, 3668, 540, 7292, 4763, 538, 9781, 5641, 902, 267, 2085, 1143, 10419, 18050, 998, 4550, 268, 1645, 2472, 543, 20261, 267, 543, 4008, 11475, 18674, 3842, 575, 25311, 6725, 2994, 269, 20876, 891, 9465, 2488, 513, 2556, 4358, 1448, 585, 1814, 1172, 532, 4540, 2853, 543, 3981, 532, 4244, 4485, 602, 8956, 23141, 543, 8661, 3017, 780, 22013, 1324, 4514, 883, 519, 2078, 1063, 6940, 543, 13784, 267, 2015, 875, 2188, 971, 607, 4199, 14305, 267, 4074, 2175, 267, 543, 2686, 3261, 566, 12969, 609, 2055, 540, 9698, 543, 5126, 269, 1280, 1383, 267, 5466, 2825, 12159, 1419, 3322, 23799, 1026, 5024, 5763, 543, 1379, 2476, 689, 29341, 11051, 945, 13840, 4324, 1034, 689, 7518, 5511, 1949, 269, 6684, 267, 2870, 5963, 8537, 5624, 7569, 4101, 31737, 25327, 543, 7586, 4328, 9739, 12926, 3623, 10642, 610, 16053, 269, 4935, 267, 16042, 6752, 1374, 543, 2029, 998, 513, 7828, 540, 28622, 5849, 602, 3356, 2509, 835, 3804, 1281, 711, 2097, 693, 519, 13258, 540, 1776, 780, 4415, 713, 15398, 1582, 18221, 267, 8399, 547, 2932, 1382, 593, 8037, 5515, 267, 5322, 267, 543, 10124, 14027, 8537, 1374, 1369, 519, 6752, 2872, 269, 2368, 2009, 18817, 585, 3408, 1331, 1384, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 27324, 24110, 476, 277, 268, 1321, 454, 268, 3427, 24285, 454, 310, 514, 513, 24732, 268, 4002, 3163, 14173, 1341, 1269, 1911, 717, 3424, 25890, 2336, 6200, 21624, 29480, 4828, 11762, 585, 8866, 543, 1855, 839, 454, 8196, 707, 1913, 547, 32022, 519, 5467, 563, 25324, 24070, 1603, 568, 835, 540, 1346, 1983, 602, 666, 948, 1053, 8011, 538, 1483, 1272, 269, 29480, 3594, 616, 2147, 547, 12819, 2073, 855, 789, 7048, 1447, 593, 5013, 543, 811, 593, 7553, 547, 32022, 519, 5467, 269, 898, 779, 1271, 547, 917, 707, 5304, 865, 596, 666, 18783, 1022, 4831, 1173, 3701, 789, 1522, 1118, 543, 2119, 547, 7753, 873, 269, 8347, 2542, 930, 21927, 5931, 547, 1397, 3214, 1390, 1806, 540, 6644, 1603, 269, 3973, 946, 891, 10388, 1557, 3584, 585, 2259, 563, 18662, 543, 4065, 29480, 4828, 11762, 454, 16908, 543, 7881, 10388, 1557, 3584, 267, 2257, 543, 2029, 10388, 1557, 3584, 267, 5026, 543, 9913, 10388, 1557, 3584, 267, 1175, 585, 1187, 10388, 1557, 3584, 563, 268, 1684, 596, 1589, 6780, 1058, 581, 2838, 267, 18593, 267, 610, 711, 2016, 693, 782, 888, 268, 4841, 1058, 270, 29019, 711, 581, 2111, 547, 946, 741, 11436, 1282, 519, 521, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 293, 5831, 5071, 543, 5303, 257, 607, 851, 540, 834, 16300, 13493, 1315, 1849, 5847, 1299, 667, 816, 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, 6092, 5149, 281, 16337, 1315, 14418, 1315, 24789, 918, 15351, 268, 11900, 18944, 11470, 692, 296, 269, 4985, 692, 4263, 519, 4295, 540, 24789, 13221, 6013, 519, 2259, 540, 9066, 630, 5633, 268, 7999, 264, 543, 519, 946, 540, 19433, 673, 678, 26680, 1634, 607, 32748, 753, 269, 1452, 32748, 753, 616, 2966, 547, 2736, 998, 7787, 3206, 543, 1291, 547, 8090, 540, 7096, 20185, 267, 5219, 547, 607, 521, 1807, 328, 269, 769, 713, 1576, 1770, 267, 649, 786, 5490, 883, 519, 1158, 540, 24789, 737, 15351, 30816, 5708, 1765, 32173, 1155, 602, 16621, 891, 2609, 547, 4161, 3988, 262, 11994, 543, 28596, 10952, 26126, 269, 1284, 786, 2263, 875, 4589, 8415, 2757, 24789, 10752, 543, 3082, 873, 1369, 4207, 8658, 267, 2870, 6386, 602, 16637, 6671, 9423, 1247, 2502, 2413, 9458, 780, 2862, 269, 8466, 17461, 281, 3245, 3127, 547, 3567, 692, 2414, 1174, 519, 5072, 540, 24789, 737, 15351, 19899, 4310, 3332, 267, 835, 1590, 1101, 5660, 519, 3140, 1646, 540, 24789, 6138, 2066, 1585, 4529, 269, 7880, 3215, 538, 3504, 3127, 607, 851, 540, 10067, 27011, 13221, 267, 24789, 2663, 28953, 547, 3624, 1141, 621, 2968, 26960, 13221, 269, 16828, 23928, 538, 3567, 1282, 519, 21919, 752, 3120, 1974, 630, 14093, 276, 268, 15836, 274, 9460, 1070, 24789, 4797, 547, 11457, 896, 7506, 971, 607, 28001, 626, 543, 25230, 534, 2093, 269, 10801, 922, 3460, 267, 24789, 9738, 922, 8561, 593, 1463, 1995, 543, 16022, 7326, 267, 1419, 6829, 998, 9583, 2192, 16479, 32748, 753, 899, 834, 1432, 568, 519, 3280, 540, 835, 1688, 804, 6260, 12482, 7656, 269, 4197, 24789, 25391, 753, 692, 288, 4909, 2460, 540, 24789, 1353, 3322, 21679, 609, 32748, 753, 1765, 26211, 267, 6939, 545, 6898, 5921, 547, 7519, 9266, 7744, 543, 5000, 16367, 4656, 269, 12465, 32748, 753, 666, 581, 1336, 538, 10070, 971, 607, 519, 9791, 1849, 858, 16680, 543, 631, 636, 517, 16988, 267, 1312, 16432, 676, 9565, 24789, 18544, 269, 1635, 6313, 1896, 1134, 8153, 32748, 753, 267, 649, 786, 10625, 741, 5817, 4798, 543, 2409, 1031, 547, 24905, 548, 12242, 2065, 3206, 269, 1280, 3236, 267, 2015, 519, 1739, 5929, 1383, 1384, 265, 589, 31494, 4280, 2098, 3873, 9926, 17924, 267, 834, 9989, 513, 2915, 723, 17700, 2470, 24350, 313, 3873, 9926, 17924, 14452, 267, 834, 5591, 3010, 1607, 5385, 2591, 938, 26608, 18727, 18765, 827, 1582, 3125, 543, 3961, 267, 18136, 721, 3079, 547, 9784, 519, 7915, 25872, 540, 782, 7919, 269, 3414, 2079, 540, 2147, 32748, 753, 267, 1053, 786, 2744, 606, 7071, 585, 519, 1016, 951, 633, 1379, 540, 891, 5339, 3457, 950, 7471, 883, 14070, 1568, 780, 4353, 269, 12634, 10241, 281, 24789, 918, 15351, 268, 11900, 18944, 11470, 692, 2026, 2518, 1719, 538, 8109, 17035, 9428, 267, 865, 1932, 814, 519, 8560, 540, 24789, 737, 15351, 30816, 5708, 1851, 5375, 3988, 269, 7073, 5830, 2721, 2390, 2757, 24789, 3741, 543, 6451, 873, 883, 3309, 11964, 1519, 9814, 9089, 267, 2257, 5708, 267, 14810, 267, 543, 811, 269, 2368, 8037, 1806, 1331, 1384, 320, 269, 2608, 763, 6489, 268, 10000, 16819, 20048, 1834, 265, 676, 4498, 25431, 631, 3120, 330, 9564, 910, 901, 30642, 3209, 2934, 3875, 8320, 540, 1990, 1794, 523, 630, 572, 730, 9066, 264, 7258, 3197, 945, 18220, 3344, 540, 24789, 6138, 269, 2290, 16502, 13341, 513, 3126, 540, 12357, 2621, 24188, 540, 8106, 737, 15351, 13410, 563, 321, 269, 2608, 306, 852, 9197, 1662, 265, 676, 3026, 531, 5153, 2380, 517, 910, 5590, 538, 513, 29711, 1014, 2104, 13856, 676, 5691, 4641, 2029, 267, 713, 6880, 335, 6064, 4278, 14525, 12857, 670, 10098, 5019, 6782, 626, 12544, 9952, 11360, 518, 4171, 2012, 1612, 3672, 519, 18840, 20200, 531, 5869, 540, 24789, 2984, 269, 1306, 646, 4044, 919, 1950, 3103, 540, 26675, 267, 670, 10098, 24151, 1898, 24789, 7907, 899, 6043, 543, 1033, 16670, 563, 322, 269, 2608, 7922, 785, 2659, 623, 23888, 265, 676, 26304 ]

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

[ 5046, 268, 866, 267, 1256, 950, 1004, 1810, 1406, 723, 2589, 563, 5591, 2665, 540, 5046, 268, 866, 3262, 689, 1004, 1510, 2589, 454, 5278, 1004, 7783, 609, 5046, 268, 866, 949, 2760, 723, 1022, 2589, 269, 1677, 4266, 267, 972, 723, 1044, 1100, 9672, 8320, 540, 513, 1268, 609, 5046, 268, 866, 267, 855, 945, 2760, 2919, 2589, 267, 10825, 519, 3644, 269, 898, 1869, 949, 581, 2009, 585, 713, 1826, 540, 3262, 547, 2049, 543, 1434, 9882, 568, 1883, 547, 7303, 713, 563, 268, 595, 965, 610, 14229, 324, 2763, 883, 707, 23969, 610, 676, 8720, 707, 5023, 543, 9224, 609, 8031, 563, 268, 10925, 1031, 8031, 538, 519, 10822, 610, 513, 9126, 5612, 563, 268, 25169, 707, 3946, 609, 12853, 543, 1216, 1419, 630, 1721, 693, 2547, 476, 736, 7643, 1916, 268, 8347, 547, 2057, 2673, 3346, 609, 1004, 945, 616, 796, 6202, 563, 268, 5213, 1406, 5905, 707, 4064, 267, 9224, 610, 5023, 952, 707, 3946, 616, 711, 2973, 563, 268, 3680, 2123, 3346, 267, 971, 607, 21098, 532, 267, 4687, 11680, 610, 1426, 609, 7210, 1004, 563, 268, 11162, 543, 21149, 4749, 20109, 7252, 543, 3615, 267, 971, 607, 798, 1251, 333, 10849, 563, 268, 13773, 1753, 952, 596, 1745, 796, 6202, 563, 268, 11910, 2657, 1467, 593, 476, 24699, 271, 476, 3374, 279, 476, 276, 3393, 274, 952, 596, 723, 1022, 2589, 543, 723, 1044, 5063, 1044, 18246, 610, 723, 1044, 538, 2673, 3346, 609, 2576, 9672, 609, 5046, 268, 866, 563, 10144, 945, 723, 5063, 1044, 18246, 267, 610, 945, 949, 723, 1044, 6534, 547, 5046, 268, 866, 267, 616, 2838, 547, 1582, 268, 18066, 622, 547, 1832, 741, 2950, 2922, 563, 268, 1403, 596, 8452, 538, 1715, 10215, 538, 519, 2063, 476, 1691, 2395, 267, 596, 1058, 1582, 268, 18066, 622, 585, 476, 1691, 2395, 689, 519, 4266, 596, 8977, 539, 519, 2063, 2197, 596, 10272, 563, 268, 1403, 596, 723, 1044, 538, 2673, 3346, 609, 513, 9672, 2013, 540, 5046, 268, 866, 596, 1058, 1582, 268, 18066, 622, 585, 476, 1691, 2395, 689, 519, 4266, 540, 2673, 3346, 563, 2171, 917, 689, 824, 17061, 602, 1582, 28104, 15684, 568, 2500, 267, 543, 1034, 1004, 616, 1434, 693, 5329, 2933, 1107, 543, 1866, 1107, 2922, 543, 1134, 269, 1677, 1265, 856, 811, 267, 1294, 938, 8682, 28104, 15684, 4199, 563, 5415, 1344, 585, 17066, 540, 2665, 538, 1715, 10215, 568, 2139, 693, 13555, 16439, 585, 5046, 268, 866, 563, 4322, 4808, 616, 711, 513, 2182, 543, 3728, 4341, 543, 786, 581, 8242, 607, 543, 950, 2417, 2963, 3587, 2139, 563, 763, 1883, 24572, 540, 5046, 268, 866, 4742, 513, 4049, 4576, 568, 519, 6228, 540, 5817, 2564, 2175, 267, 2523, 952, 891, 2175, 616, 711, 1134, 6417, 269, 31999, 2175, 1331, 912, 268, 3978, 7929, 2068, 971, 607, 5312, 5761, 2068, 610, 9793, 547, 4049, 10447, 3248, 268, 3978, 2295, 2175, 3248, 268, 6375, 665, 20234, 668, 2213, 2175, 454, 268, 1082, 2175, 666, 2014, 513, 1268, 547, 581, 6375, 665, 20234, 668, 2213, 267, 1519, 2860, 2126, 267, 7296, 1644, 4576, 267, 5642, 20768, 610, 1418, 24328, 267, 688, 14670, 11043, 683, 21182, 916, 267, 4761, 19518, 267, 14605, 6417, 7486, 610, 15978, 267, 543, 12675, 946, 540, 29416, 8803, 6950, 543, 824, 4761, 4617, 2287, 6527, 630, 7945, 607, 2068, 21524, 4328, 4550, 8573, 515, 9964, 5061, 11850, 268, 4049, 8377, 630, 7853, 2527, 4994, 1496, 289, 11085, 316, 540, 476, 2412, 610, 2362, 11850, 268, 5312, 8459, 2068, 267, 1004, 18460, 31533, 282, 543, 454, 268, 6797, 2068, 563, 17829, 936, 476, 3583, 281, 24771, 1004, 267, 538, 1880, 1346, 945, 723, 5817, 1072, 2152, 267, 1519, 7929, 2152, 602, 1118, 873, 811, 7925, 547, 5046, 268, 866, 563, 4910, 6342, 540, 9907, 1416, 6703, 281, 589, 3022, 1416, 6703, 616, 11630, 547, 519, 4028, 6771, 540, 8290, 899, 713, 269, 1763, 6342, 616, 811, 11630, 547, 10108, 1813, 547, 741, 2085, 543, 789, 616, 849, 811, 2693, 547, 723, 5817, 1072, 2175, 563, 303, 27389, 656, 2021, 281, 2657, 4966, 798, 711, 2943, 917, 952, 9176, 2021, 616, 12936, 676, 5046, 268, 866, 538, 519, 1482, 1259, 607, 824, 1004, 269, 1717, 267, 9176, 2021, 1995, 2242, 538, 741, 4703, 602, 949, 2333, 741, 1981, 689, 930, 5563, 563, 2005, 568, 1863, 543, 2139, 476, 2190, 3108, 513, 1554, 267, 476, 278, 2395, 513, 3018, 563, 10144, 10912, 602, 1899, 786, 581, 2111, 547, 2911, 609, 513, 4759, 540, 519, 2817, 17791, 8234, 6796, 269, 1358, 723, 1569, 547, 3705, 1562, 563, 2791, 1058, 1289, 602, 6131, 1297, 912, 268, 547, 11578, 952, 596, 723, 1582, 268, 18066, 730, 3054, 454, 268, 585, 1022, 11452, 1072, 5796, 543, 1344, 543, 1022, 2055, 596, 723, 827, 11452, 267, 1582, 28104, 15684, 3092, 563, 10890, 1467, 779, 1292, 1297, 568, 1869, 519, 835, 547, 1289, 585, 1875, 2275, 528, 517, 8785, 1072, 4145, 1107, 476, 24699, 271, 476, 277, 1556, 476, 14138, 563, 2662, 31295, 1297, 596, 1289, 267, 596, 786, 1205, 3318, 1072, 5796, 543, 1344, 563, 25387, 267, 972, 568, 1100, 1808, 2126, 585, 11452, 267, 855, 2564, 1416, 666, 1521, 1034, 540, 519, 2589, 563, 2026, 713, 568, 513, 1007, 3644, 267, 972, 568, 4867, 1100, 6669, 2139, 269, 12824, 616, 538, 519, 2038, 5933, 540, 3384, 835, 563, 763, 12080, 540, 14579, 16457, 543, 11780, 568, 3246, 519, 5767, 5796, 585, 2951, 6840, 593, 519, 15822, 13488, 3896, 563, 2690, 811, 1344, 1294, 912, 5978, 1514, 2923, 912, 268, 9365, 2985, 281, 7711, 2381, 8234, 333, 345, 454, 268, 12108, 8756, 7711, 2381, 8234, 333, 345, 454, 2171, 786, 581, 1210, 891, 9055, 547, 10332, 1004, 547, 1883, 10311, 543, 20261, 4481, 827, 5046, 268, 866, 269, 0, 2704, 8224, 673, 9980, 1845, 281, 681, 454, 15869, 6333, 5402, 950, 14045, 2436, 547, 2697, 1004, 676, 5198, 269, 10705, 267, 621, 568, 606, 13061, 3815, 543, 5373, 11991, 3007, 547, 2576, 779, 5198, 610, 14940, 666, 581, 14648, 607, 2462, 582, 787, 269, 1703, 616, 267, 2705, 267, 14026, 950, 5198, 568, 22317, 912, 268, 1879, 10503, 1713, 267, 14262, 610, 8978, 2621, 630, 306, 8205, 590, 582, 558, 599, 528, 568, 519, 1101, 17104, 5126, 540, 519, 772, 2529, 269, 10966, 7040, 994, 268, 1879, 10503, 2168, 4162, 540, 513, 14353, 267, 7508, 1268, 610, 538, 1022, 824, 2013, 950, 3308, 1541, 13294, 616, 3730, 630, 21691, 823, 616, 3168, 585, 513, 812, 4330, 607, 3043, 267, 827, 476, 277, 3952, 7381, 267, 609, 3109, 4552, 543, 4544, 4064, 267, 9849, 513, 726, 4660, 25099, 994, 268, 1879, 10503, 513, 17431, 267, 19717, 610, 824, 4655, 5473, 5198, 630, 10175, 11913, 7526, 1070, 610, 7234, 2152, 899, 3540, 2924, 563, 1103, 782, 824, 3871, 267, 1331, 7292, 610, 6803, 3877, 1152, 950, 789, 616, 5693, 4143, 543, 602, 10083, 568, 8763, 538, 519, 1650, 269, 1684, 711, 946, 513, 3541, 690, 2218, 2165, 4849, 538, 4686, 6381, 950, 621, 568, 2629, 547, 519, 3988, 685, 1620, 540, 606, 2680, 610, 3510, 1373, 5941, 269, 6423, 849, 519, 3084, 885, 543, 14797, 7127, 563, 3336, 13159, 569, 2697, 513, 4087, 676, 1519, 519, 2679, 2012, 543, 519, 4055, 781, 1297, 630, 514, 5515, 2567, 595, 1195, 330, 754, 718, 3163, 8490, 476, 13975, 267, 17976, 4741, 476, 9083, 269, 1684, 711, 946, 519, 2262, 834, 3336, 257, 4849, 538, 4686, 2665, 281, 9906, 5742, 5564, 760, 17123, 18740, 269, 630, 11372, 760, 17123, 568, 835, 2262, 264, 0, 294, 9790, 6199, 16836, 568, 835, 540, 519, 2947, 28151, 540, 519, 17389, 577, 1084, 7322, 21246, 1275, 543, 835, 540, 1079, 602, 723, 15068, 12873, 2394, 519, 1459, 1554, 269, 634, 14500, 14629, 814, 1044, 20948, 2094, 519, 32665, 11270, 269, 1488, 3832, 1670, 2007, 338, 723, 20114, 1896, 22300, 818, 974, 30440, 267, 1519, 519, 476, 1321, 9492, 9370, 13153, 717, 9790, 6199, 19562, 710, 267, 1631, 593, 4159, 538, 519, 17389, 577, 1084, 7322, 2817, 7467, 563, 294, 9790, 6199, 16836, 3459, 922, 6228, 607, 513, 10120, 5939, 543, 28200, 593, 513, 14629, 9008, 269, 769, 519, 2038, 476, 1321, 628, 2540, 267, 519, 28200, 729, 23545, 539, 543, 519, 6830, 2305, 540, 519, 5449, 5939, 2497, 1185, 7444, 3459, 609, 519, 1840, 540, 513, 8258, 3774, 267, 8108, 513, 2241, 267, 10199, 9764, 1832, 269, 4438, 519, 476, 1321, 628, 2540, 267, 1896, 23937, 4553, 267, 538, 1880, 519, 5137, 540, 519, 1292, 13486, 607, 513, 7299, 10137, 540, 519, 4540, 1832, 269, 13536, 593, 267, 519, 13486, 729, 856, 325, 1243, 609, 5789, 331, 976, 269, 634, 1101, 2854, 2594, 540, 519, 14500, 781, 2012, 2501, 689, 476, 15782, 277, 269, 769, 519, 476, 1321, 628, 543, 2038, 476, 1724, 628, 2540, 267, 519, 14500, 729, 538, 519, 9562, 540, 519, 561, 3581, 540, 17793, 340, 28086, 267, 513, 15626, 2777, 689, 519, 18230, 18085, 517, 540, 3400, 889, 6686, 526, 523, 269, 2991, 519, 2669, 540, 26081, 5341, 13153, 17793, 340, 29118, 538, 476, 14530, 275, 267, 519, 14500, 2968, 519, 3959, 540, 519, 5600, 540, 670, 11274, 7921, 269, 898, 729, 1287, 1031, 5097, 585, 1368, 8973, 519, 8473, 4133, 1063, 519, 2199, 670, 11274, 7921, 24804, 11182, 543, 519, 3283, 10362, 547, 519, 4830, 18230, 18085, 976, 563, 4263, 519, 2490, 540, 519, 476, 1428, 628, 2540, 267, 519, 14500, 23384, 3573, 1007, 4070, 1568, 607, 851, 540, 606, 11036, 676, 10513, 4936, 14890, 7665, 574, 27482, 594, 547, 7816, 519, 3441, 1102, 21719, 2390, 519, 14500, 676, 513, 26362, 538, 476, 14983, 280, 267, 1282, 519, 4210, 629, 1014, 2782, 269, 717, 9790, 6199, 16836, 22234, 513, 2721, 8822, 2394, 476, 14631, 278, 267, 950, 519, 3926, 729, 8697, 676, 7088, 543, 1185, 547, 581, 24905, 1194, 267, 2760, 11543, 513, 10682, 269, 4438, 519, 476, 1704, 628, 543, 476, 1240, 628, 2540, 267, 519, 14500, 4503, 1034, 540, 922, 4108, 3483, 543, 729, 8697, 676, 1896, 11642, 269, 898, 729, 1869, 1373, 1031, 607, 513, 15335, 1472, 476, 11260, 271, 269, 2991, 513, 3595, 538, 476, 9692, 276, 602, 7494, 8697, 7195, 345, 619, 267, 519, 14500, 21219, 941, 1031, 607, 513, 2707, 540, 2679, 1570, 585, 519, 16646, 540, 519, 4884, 269, 634, 14500, 729, 12349, 543, 5594, 30465, 676, 519, 4884, 538, 476, 9264, 275, 267, 1287, 4421, 538, 476, 6977, 275, 547, 27959, 30686, 529, 6390, 13153, 17389, 577, 1084, 7322, 563, 763, 14500, 4607, 513, 8101, 11808, 1063, 476, 5002, 276, 543, 476, 4489, 273, 267, 896, 519, 15569, 540, 966, 611, 15120, 23899, 4056, 661, 12455, 28039, 514, 31000, 267, 922, 1007, 8227, 269, 901, 11808, 3773, 513, 1906, 1007, 3889, 543, 5656, 547, 519, 2539, 2694, 540, 519, 14500, 630, 5408, 2666, 1544, 538, 8100, 3296, 585, 811, 3877, 1040, 2991, 28039, 514, 31000, 781, 2669, 538, 476, 4350, 277, 267, 519, 14500, 729, 10519, 539, 676, 519, 29109, 585, 1585, 2621, 543, 14538, 267, 2394, 621, 729, 6035, 585, 9042, 538, 476, 4198, 272, 269, 769, 476, 3192, 280, 267, 519, 14500, 729, 12349, 676, 519, 10988, 760, 1275, 540, 17389, 577, 1084, 7322, 585, 1533, 543, 9754, 5301, 269, 1717, 267, 519, 2063, 540, 519, 5449, 4357, 5411, 4371, 1200, 15110, 2924, 547, 519, 3110, 2787, 540, 519, 14500, 2394, 1200, 2669, 538, 476, 1220, 272, 563, 763, 22678, 13704, 540, 519, 14500, 568, 1930, 547, 8436, 1863, 540, 5279, 782, 1032, 5180, 269, 634, 14500, 781, 32724, 543, 9782, 4677, 267, 18949, 539, 538, 476, 1001, 271, 267, 616, 3015, 1863, 540, 5279, 538, 519, 4832, 15805, 4005, 269, 2871, 3660, 19150, 540, 717, 9790, 6199, 16836, 543, 922, 10519, 532, 585, 12311, 26204, 543, 2686, 2621, 616, 2139, 1152, 1282, 519, 4832, 15805, 4005, 543, 991, 547, 581, 11231, 538, 4434, 676, 13393, 269, 27066, 912, 763, 17833, 9926, 3873, 5939, 540, 29513, 16907, 529, 543, 717, 30503, 568, 519, 9510, 31607, 2497, 538, 670, 16967, 3534, 269, 898, 568, 519, 1152, 17005, 15224, 540, 3504, 4563, 31089, 1156, 1014, 6189, 267, 13747, 689, 824, 18179, 13039, 676, 30508, 946, 540, 4874, 577, 4435, 1795, 9643, 10007, 540, 4544, 267, 3039, 610, 2699, 512, 842, 799, 1223, 581, 11231, 547, 1106, 22613, 610, 824, 5515, 593, 519, 3774, 563, 763, 5939, 568, 513, 3444, 1673, 15701, 2679, 6462, 676, 3670, 9764, 22225, 269, 634, 3544, 568 ]

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

[ 15939, 267, 2271, 328, 267, 543, 623, 778, 600, 4821, 267, 891, 2984, 7618, 721, 540, 519, 2956, 540, 4509, 10103, 1063, 3425, 543, 2470, 1247, 14120, 2686, 6561, 269, 1306, 596, 3136, 3695, 8479, 16989, 27140, 5059, 593, 4984, 543, 6805, 10723, 2984, 267, 1832, 606, 1930, 2247, 543, 9784, 519, 5898, 540, 4763, 1336, 1369, 1142, 2245, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 8624, 3005, 12025, 281, 476, 275, 267, 8517, 266, 5292, 6979, 454, 763, 570, 11403, 299, 1875, 27395, 4015, 2882, 1568, 540, 15923, 2854, 585, 513, 1453, 610, 1762, 2937, 5304, 630, 26078, 1041, 547, 476, 1321, 628, 3446, 1040, 1323, 6221, 568, 2808, 513, 960, 540, 1875, 27395, 952, 519, 2278, 779, 8247, 568, 547, 9446, 1483, 610, 23610, 1344, 267, 4352, 2278, 12886, 949, 1869, 2291, 269, 11872, 543, 2200, 616, 2178, 10832, 602, 606, 6221, 568, 1875, 27395, 538, 2470, 269, 7734, 5627, 10070, 540, 9954, 630, 10175, 30053, 543, 6586, 2719, 3756, 264, 610, 18691, 616, 849, 2808, 1875, 27395, 563, 14399, 543, 1762, 2937, 15923, 10643, 616, 3769, 538, 519, 570, 11403, 299, 4015, 585, 3872, 5301, 1519, 6437, 3498, 267, 5467, 3961, 1646, 267, 12190, 6139, 8427, 3096, 267, 543, 547, 3895, 519, 2648, 540, 2542, 563, 763, 570, 11403, 299, 1193, 1161, 547, 1711, 8537, 10070, 799, 2992, 513, 2647, 2039, 540, 2984, 267, 5468, 267, 543, 3584, 4143, 547, 519, 3309, 9163, 543, 2115, 540, 519, 623, 268, 1321, 1053, 538, 938, 2950, 907, 5016, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 4517, 6756, 15328, 17443, 543, 19088, 1108, 257, 607, 851, 540, 834, 28765, 22723, 13493, 1315, 15215, 1315, 7087, 1315, 29042, 12267, 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, 7170, 281, 1133, 30584, 532, 6732, 31981, 281, 589, 7913, 23618, 633, 781, 6651, 692, 7072, 912, 8702, 547, 519, 13858, 1158, 540, 2228, 13655, 256, 1306, 27503, 3059, 3713, 1161, 267, 621, 781, 2629, 602, 649, 1451, 875, 547, 6330, 519, 4950, 1247, 5329, 6000, 2922, 543, 5150, 269, 2290, 1271, 2460, 540, 1373, 513, 3743, 2121, 714, 523, 568, 1620, 875, 938, 2123, 1344, 568, 6394, 543, 1031, 269, 4653, 267, 649, 786, 2263, 1114, 2081, 7270, 5531, 1239, 543, 4983, 1946, 789, 798, 865, 269, 1284, 786, 849, 5490, 883, 930, 4081, 1382, 4478, 891, 2853, 543, 3605, 2994, 547, 2226, 938, 2228, 7834, 269, 1924, 10544, 707, 19792, 22970, 543, 1577, 781, 4685, 883, 519, 4241, 7706, 540, 2228, 3354, 2439, 4089, 594, 281, 11814, 532, 2659, 4578, 910, 11374, 519, 1849, 1132, 454, 2691, 596, 1129, 909, 585, 606, 2228, 3760, 899, 513, 1514, 2923, 3135, 610, 513, 3381, 1476, 17182, 813, 971, 607, 11809, 636, 340, 267, 596, 616, 4280, 547, 1711, 606, 2272, 609, 1585, 4773, 540, 1344, 269, 901, 1223, 2039, 689, 707, 2012, 543, 2085, 547, 4757, 9607, 543, 6049, 2338, 269, 1635, 3257, 865, 267, 596, 4734, 3297, 10881, 602, 948, 3549, 21160, 741, 17008, 1759, 593, 707, 7375, 269, 2913, 781, 1294, 1018, 2186, 540, 10881, 1522, 581, 15720, 538, 10750, 8289, 1282, 14261, 1384, 7078, 281, 5994, 19142, 909, 585, 513, 1007, 3381, 1476, 17182, 1907, 1572, 20821, 300, 622, 269, 4438, 519, 14261, 1184, 267, 596, 7237, 4610, 31392, 3877, 899, 912, 268, 9509, 8745, 454, 268, 19478, 17372, 454, 268, 2776, 31084, 10426, 5320, 454, 268, 25439, 7089, 454, 268, 11261, 540, 17510, 454, 268, 13474, 19715, 692, 10376, 4062, 540, 16761, 1344, 5713, 513, 3483, 269, 1280, 3236, 267, 3246, 707, 2407, 2012, 2636, 824, 3755, 547, 2697, 596, 3362, 1369, 11401, 269, 11531, 267, 4687, 707, 4266, 540, 4332, 949, 12260, 1569, 547, 14512, 829, 802, 6035, 676, 20821, 300, 622, 269, 1717, 267, 13031, 1932, 1454, 6213, 1239, 814, 922, 4220, 282, 4061, 267, 1565, 950, 547, 2671, 543, 950, 547, 3180, 1394, 3587, 1898, 780, 12244, 281, 17291, 15822, 19457, 13756, 454, 4131, 781, 5659, 1142, 2361, 1927, 543, 3313, 952, 621, 781, 2556, 547, 2671, 519, 16761, 1344, 1384, 17359, 8745, 281, 9523, 1152, 707, 1101, 2012, 610, 3355, 338, 3079, 540, 707, 3003, 2012, 585, 3106, 4128, 563, 10387, 841, 17372, 281, 8073, 513, 2189, 4757, 2232, 4481, 585, 2228, 6589, 796, 15062, 539, 547, 707, 3119, 835, 563, 7093, 31084, 10426, 5320, 281, 11408, 3442, 2178, 18538, 5627, 26627, 27664, 5022, 267, 27608, 5022, 267, 6698, 267, 543, 2338, 269, 6333, 1210, 513, 6325, 10957, 9614, 585, 3773, 4027, 563, 17490, 7089, 281, 8838, 856, 540, 12607, 3151, 707, 1297, 8259, 11613, 2838, 269, 5502, 267, 2015, 13844, 513, 1863, 27215, 7709, 630, 309, 4069, 936, 5769, 16257, 264, 1297, 14311, 585, 2228, 2238, 563, 14630, 540, 17510, 281, 5901, 707, 4332, 11845, 4357, 8164, 2009, 269, 17793, 644, 9094, 1419, 17908, 713, 1469, 585, 3961, 17403, 5301, 563, 15575, 787, 19715, 281, 32672, 2718, 2489, 4087, 2337, 5867, 11126, 942, 10851, 543, 2303, 22297, 2934, 855, 31831, 689, 4758, 1808, 2749, 610, 4884, 4408, 780, 3528, 1739, 891, 4808, 267, 596, 2327, 602, 707, 3838, 10881, 2611, 8766, 2943, 7850, 585, 5347, 5872, 609, 1866, 593, 20821, 300, 622, 780, 6962, 912, 1103, 2221, 781, 10562, 1158, 267, 7863, 938, 2123, 1344, 3340, 3586, 28858, 543, 4656, 269, 4197, 875, 7270, 2445, 543, 8415, 938, 1239, 16877, 721, 547, 16102, 938, 7834, 3927, 269, 15012, 721, 1985, 942, 607, 649, 3136, 3695, 811, 3344, 540, 2228, 11739, 583, 3107, 267, 4180, 596, 1831, 513, 8746, 6880, 12504, 4712, 547, 10994, 8726, 2501, 707, 1259, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 8923, 1224, 543, 1174, 713, 8889, 5402, 1354, 596, 946, 519, 11809, 636, 340, 1587, 610, 3028, 269, 4495, 596, 1376, 1210, 513, 11809, 636, 340, 1587, 610, 3028, 267, 596, 4628, 1174, 543, 3858, 547, 713, 3609, 269, 1403, 596, 723, 1022, 2243, 610, 19583, 827, 519, 9115, 540, 713, 3609, 610, 1644, 2152, 267, 596, 666, 3346, 721, 998, 519, 476, 278, 265, 1321, 3108, 6075, 3028, 3905, 1467, 630, 6110, 268, 18089, 268, 2568, 277, 277, 1916, 272, 269, 1215, 649, 2445, 707, 2123, 1344, 454, 273, 269, 1215, 649, 946, 707, 2123, 1344, 454, 274, 269, 1215, 649, 2149, 707, 2123, 1344, 454, 275, 269, 1215, 649, 2149, 519, 7834, 540, 1295, 832, 563, 276, 269, 15329, 725, 540, 4031, 543, 6042, 676, 3755, 563, 278, 269, 1215, 547, 3346, 721, 563, 296, 269, 14635, 540, 9608, 6176, 454, 272, 269, 272, 14871, 32310, 454, 272, 264, 21362, 1229, 10055, 281, 2311, 1101, 596, 991, 547, 11578, 606, 2272, 607, 513, 11809, 636, 340, 3593, 547, 946, 519, 2533, 649, 1683, 585, 596, 267, 1519, 3381, 1476, 17182, 267, 10554, 10912, 267, 8384, 2661, 13739, 338, 267, 4259, 909, 2123, 2232, 1433, 267, 10004, 1154, 267, 2870, 2516, 267, 3092, 269, 547, 3035, 2792, 3252, 269, 1879, 11578, 532, 267, 596, 991, 547, 1683, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 10907, 27854, 270, 10932, 15369, 27405, 625, 257, 607, 851, 540, 834, 11227, 1315, 25491, 1299, 23618, 633, 1315, 6468, 590, 548, 3578, 338, 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, 18181, 20081, 1963, 23293, 1362, 256, 4653, 267, 649, 2811, 2469, 547, 1451, 827, 9255, 17553, 18264, 22761, 269, 901, 1522, 3100, 899, 513, 16681, 2165, 267, 855, 1810, 1405, 5855, 910, 621, 781, 1175, 513, 1259, 540, 25786, 1919, 593, 707, 3349, 950, 596, 3548, 269, 1635, 1739, 891, 2241, 3652, 267, 649, 666, 1397, 2463, 585, 6000, 267, 938, 1426, 267, 543, 1866, 693, 519, 3349, 269, 2913, 781, 1205, 3323, 2439, 5331, 596, 616, 16475, 513, 12129, 5428, 609, 930, 2828, 269, 1411, 1616, 873, 547, 1745, 10950, 267, 6899, 267, 543, 9599, 547, 2972, 741, 7594, 269, 1677, 1711, 713, 5790, 267, 1246, 891, 3268, 547, 1305, 519, 3501, 1747, 4259, 1384, 3721, 476, 272, 281, 7994, 2659, 17934, 454, 16521, 513, 6676, 602, 13352, 1134, 1369, 707, 3349, 2230, 269, 1280, 4948, 18226, 267, 946, 513, 1507, 19997, 6676, 630, 19925, 476, 278, 6279, 264, 610, 513, 3677, 12129, 6676, 630, 12671, 476, 280, 268, 1556, 6279, 1040, 1403, 7674, 2789, 6030, 267, 1376, 609, 513, 4130, 6676, 543, 5372, 621, 609, 513, 8273, 835, 2899, 2877, 780, 3721, 476, 273, 281, 5410, 7780, 839, 2812, 454, 299, 599, 856, 27022, 2687, 547, 1018, 789, 786, 581, 1031, 585, 1282, 519, 7594, 269, 13575, 267, 960, 689, 519, 3544, 2509, 519, 4099, 269, 1280, 802, 979, 547, 519, 2451, 540, 519, 6676, 1247, 31009, 543, 838, 9398, 1694, 547, 922, 1318, 282, 2141, 1747, 519, 17180, 14191, 547, 519, 6676, 609, 922, 5969, 6316, 6849, 538, 2072, 269, 1879, 1210, 17339, 838, 9398, 267, 2990, 873, 9663, 1492, 560, 2476, 689, 519, 6676, 780, 3721, 476, 274, 281, 19371, 2264, 1299, 595, 5725, 454, 10908, 13293, 4866, 593, 519, 5580, 1318, 2427, 540, 519, 6676, 269, 15380, 267, 972, 1131, 581, 1079, 14296, 281, 835, 585, 1216, 543, 1776, 585, 9174, 269, 24334, 11680, 610, 544, 13903, 949, 849, 6443, 952, 6039, 7258, 6980, 269, 5901, 11680, 5594, 6306, 689, 1142, 824, 543, 21266, 1540, 25241, 958, 20733, 780, 3721, 476, 275, 281, 13845, 7219, 18903, 454, 293, 1245, 707, 23040, 7219, 28426, 883, 555, 8674, 610, 3368, 543, 2482, 621, 2901, 22290, 519, 23643, 4433, 264, 610, 593, 1283, 540, 519, 6676, 269, 1133, 325, 13783, 543, 11093, 519, 23040, 7219, 5196, 561, 2355, 6786, 22026, 585, 4189, 269, 5457, 267, 2760, 512, 3089, 513, 23040, 7219, 883, 7802, 2458, 1513, 8259, 11504, 513, 6101, 2680, 971, 607, 1533, 7333, 638, 1115, 780, 3721, 476, 276, 281, 29968, 1299, 19643, 11146, 454, 2252, 5356, 3694, 1354, 1292, 8286, 267, 1683, 513, 5094, 3694, 6676, 17479, 1657, 519, 585, 802, 2059, 609, 7423, 3262, 619, 5116, 23276, 2066, 519, 5580, 7944, 540, 519, 3694, 6676, 780, 3721, 476, 277, 281, 667, 17143, 5548, 2074, 454, 2690, 28916, 8506, 2759, 331, 2044, 267, 4734, 2614, 4055, 1063, 10824, 543, 4837, 2264, 585, 3063, 8988, 2264, 269, 20233, 873, 6252, 547, 519, 1292, 8670, 6366, 2264, 13902, 569, 1657, 519, 12129, 6676, 780, 3086, 1577, 781, 1449, 707, 1007, 1983, 256, 5994, 3054, 9361, 1524, 693, 513, 18991, 11231, 3349, 24224, 609, 32727, 696, 1190, 8286, 7996, 547, 581, 1821, 10696, 269, 2052, 596, 2697, 1141, 1142, 6221, 12851, 1759, 593, 2221, 781, 3992, 286, 2060, 2259, 267, 13215, 7515, 7870, 3587, 2034, 2470, 269, 1924, 10544, 1346, 10824, 543, 27022, 267, 543, 6126, 18226, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21202, 327, 9811, 267, 649, 3314, 602, 1032, 269, 932, 6064, 2280, 1223, 1491, 593, 782, 535, 3996, 256, 1656, 713, 729, 519, 1267, 269, 589, 476, 8182, 266, 2985, 547, 1889, 6131, 547, 519, 10782, 13164, 649, 8910, 2479, 2938, 1685, 2661, 269, 13259, 267, 519, 8585, 345, 7901, 16784, 719, 2689, 269, 1656, 945, 1223, 7340, 519, 5213, 16410, 718, 3266, 4663, 19701, 286, 31598, 835, 540, 519, 1655, 4773, 540, 4224, 19761, 2479, 8149, 547, 1957, 543, 649, 2461, 711, 6031, 602, 1317, 621, 729, 538, 932, 6064, 2280, 269, 898, 1175, 568, 563, 763, 8909, 3377, 568, 602, 782, 519, 6119, 585, 713, 3390, 941, 3144, 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 ]

[ 0, 272, 269, 13772, 519, 1383, 476, 273, 269, 24135, 1287, 7148, 707, 2012, 476, 274, 269, 2422, 519, 1907, 547, 2490, 519, 5022, 1318, 2427, 909, 543, 1394, 593, 519, 15808, 476, 275, 269, 8347, 547, 2322, 519, 5022, 538, 1931, 476, 276, 269, 24135, 543, 946, 519, 1907, 547, 7148, 543, 1224, 1142, 4484, 593, 519, 15808, 476, 277, 269, 24135, 519, 547, 2022, 707, 960, 454, 25582, 476, 275, 281, 5753, 1058, 723, 6266, 540, 2833, 607, 4891, 543, 538, 1507, 2516, 609, 22392, 3854, 5022, 610, 3854, 4484, 6486, 676, 1166, 6235, 543, 7432, 873, 1318, 2427, 909, 543, 8380, 519, 5022, 538, 1931, 1210, 513, 2203, 269, 1280, 661, 17247, 610, 1053, 17596, 1489, 267, 946, 6486, 602, 723, 513, 1665, 693, 519, 1283, 2451, 7944, 543, 8231, 958, 5401, 1141, 519, 1665, 568, 547, 948, 1453, 1174, 2990, 269, 1280, 23918, 267, 2307, 1053, 547, 2161, 519, 4484, 4992, 1310, 2012, 519, 5022, 269, 0, 19400, 519, 1650, 281, 22067, 2201, 267, 14175, 256, 676, 27239, 31928, 572, 3367, 519, 1433, 281, 14175, 344, 16661, 17963, 676, 31656, 25347, 6199, 11473, 281, 898, 781, 681, 8724, 267, 898, 781, 623, 28666, 11314, 281, 681, 8724, 645, 1846, 543, 29838, 338, 256, 1411, 1522, 723, 4862, 519, 6031, 267, 968, 2005, 779, 986, 1456, 7314, 543, 5243, 1848, 1403, 596, 1223, 1118, 621, 4764, 1022, 1079, 1919, 596, 4941, 267, 1018, 1131, 596, 3442, 286, 3040, 3503, 827, 707, 2027, 4764, 10445, 269, 1548, 1131, 581, 9991, 689, 519, 12269, 543, 1946, 286, 3040, 8571, 513, 4605, 540, 621, 269, 0, 25542, 25817, 568, 711, 513, 4628, 6462, 11422, 269, 1280, 519, 1655, 1995, 267, 5225, 946, 24904, 610, 32288, 2135, 563, 20524, 2549, 328, 2806, 2449, 517, 781, 4928, 2238, 547, 8300, 543, 4497, 707, 1053, 454, 17220, 3427, 540, 918, 21531, 578, 267, 700, 639, 2088, 10815, 518, 12996, 27215, 643, 3941, 1222, 12813, 454, 21196, 476, 280, 7647, 2880, 4804, 630, 12892, 5525, 2558, 1662, 1299, 27822, 994, 313, 334, 1108, 281, 1215, 1684, 12292, 5269, 4256, 23467, 630, 7069, 20712, 3163, 994, 313, 334, 1108, 281, 1215, 1684, 1411, 4855, 12292, 538, 519, 28418, 630, 7069, 20712, 3163, 994, 11900, 335, 790, 707, 1053, 547, 798, 741, 1655, 454, 18439, 5215, 540, 4116, 2389, 6479, 4928, 2238, 547, 4497, 707, 1053, 543, 4688, 596, 942, 563, 14294, 5455, 5131, 454, 289, 12864, 15858, 11242, 454, 7476, 519, 2561, 0, 4263, 519, 8998, 540, 22123, 13804, 1380, 517, 779, 2034, 3209, 6013, 835, 540, 519, 6574, 905, 1846, 538, 3540, 4702, 1282, 519, 16972, 2085, 269, 634, 4070, 540, 606, 19782, 1190, 10325, 540, 12992, 267, 6864, 9254, 551, 338, 543, 22376, 1182, 689, 700, 5255, 15576, 9068, 538, 519, 570, 1484, 778, 338, 782, 519, 1259, 547, 29161, 547, 3761, 2973, 1216, 689, 519, 13677, 4400, 4133, 547, 519, 4057, 543, 964, 25544, 2713, 538, 2695, 19981, 2175, 538, 519, 2749, 779, 512, 2940, 618, 7161, 269, 4706, 2832, 568, 519, 6604, 540, 2417, 26601, 5028, 17061, 899, 1346, 540, 476, 8146, 273, 543, 476, 7277, 279, 799, 7166, 1472, 4557, 8536, 1004, 538, 29161, 4805, 543, 1082, 811, 3564, 621, 563, 763, 715, 12764, 4132, 568, 513, 9661, 540, 1134, 21503, 3140, 5708, 4904, 609, 3875, 4583, 5515, 267, 971, 607, 5261, 3627, 5839, 638, 1941, 24419, 710, 630, 9264, 271, 1107, 476, 6942, 273, 1070, 513, 3540, 543, 7344, 11653, 609, 513, 21318, 540, 824, 15421, 267, 8151, 689, 22301, 547, 22459, 267, 21917, 543, 10564, 269, 4033, 3197, 1331, 10348, 15117, 543, 1200, 9393, 267, 13584, 15751, 269, 4746, 1818, 5618, 23079, 616, 9478, 700, 3563, 630, 9264, 278, 1107, 476, 4489, 273, 1070, 513, 3119, 22082, 538, 519, 1646, 540, 1884, 1047, 10364, 6391, 267, 543, 1010, 7385, 267, 3397, 5886, 563, 763, 8783, 3140, 4137, 538, 519, 3209, 267, 2705, 267, 568, 7917, 17340, 651, 630, 13932, 275, 1107, 476, 15433, 273, 1070, 513, 13677, 14012, 543, 12563, 3271, 626, 945, 5030, 476, 8182, 1296, 4505, 543, 5747, 10393, 538, 12357, 6381, 269, 898, 568, 1472, 1010, 31272, 30970, 602, 13804, 1380, 517, 568, 693, 1200, 1034, 3860, 267, 14139, 14810, 267, 10828, 543, 519, 16750, 547, 2995, 1200, 1650, 269, 10815, 15069, 267, 547, 930, 3988, 5310, 267, 13804, 1380, 517, 30172, 930, 540, 519, 13513, 9956, 1031, 538, 1010, 13249, 18792, 267, 595, 2096, 321, 5202, 269, 16684, 10530, 689, 519, 1404, 840, 2183, 1142, 540, 519, 3209, 779, 2947, 2694, 267, 971, 607, 968, 301, 5847, 2192, 2097, 2282, 26899, 892, 543, 968, 293, 792, 1100, 811, 519, 3002, 522, 685, 519, 3141, 9731, 7804, 269, 12138, 589, 2273, 568, 519, 2564, 812, 6964, 676, 519, 15278, 540, 29161, 4826, 4103, 547, 1413, 1310, 519, 1072, 540, 519, 8030, 543, 562, 822, 341, 625, 1025, 8463, 998, 519, 4224, 540, 519, 10239, 1472, 700, 5255, 15576, 9068, 267, 18413, 12992, 543, 2679, 6864, 9254, 551, 338, 543, 5665, 5867, 269, 3571, 1762, 7385, 267, 1772, 8475, 267, 814, 19385, 14688, 2451, 3297, 1200, 1025, 663, 267, 855, 22150, 1272, 840, 31039, 676, 6752, 543, 575, 1601, 760, 269, 12846, 20494, 1324, 585, 519, 5722, 9002, 1352, 814, 26674, 3072, 267, 1352, 568, 1631, 9176, 609, 1200, 21632, 1126, 269, 28214, 1964, 1652, 538, 1200, 1007, 10450, 1352, 3217, 547, 887, 5446, 519, 1858, 1472, 700, 5255, 15576, 9068, 543, 7404, 700, 5255, 932, 517, 269, 15531, 4313, 538, 19551, 1200, 1869, 9799, 12256, 267, 13804, 1380, 517, 11339, 540, 1772, 8475, 912, 2108, 2080, 1352, 1336, 9887, 2111, 547, 2482, 1200, 1507, 15293, 338, 547, 1964, 269, 6884, 1352, 4718, 873, 538, 519, 688, 2763, 593, 519, 1216, 267, 543, 1131, 1293, 873, 267, 835, 547, 5722, 269, 1703, 779, 3627, 22448, 267, 1352, 1131, 1589, 267, 543, 1934, 2501, 8861, 267, 3957, 585, 1200, 3993, 267, 1498, 1352, 2760, 5143, 1200, 269, 2991, 1346, 1079, 972, 941, 1100, 811, 4408, 269, 6884, 519, 1453, 1223, 581, 1336, 27503, 689, 513, 1762, 3529, 610, 6926, 750, 532, 547, 835, 1776, 538, 519, 6633, 779, 19060, 3034, 2691, 1352, 1101, 10742, 7917, 17340, 651, 1772, 8475, 568, 19225, 2989, 543, 3592, 1065, 8215, 676, 519, 695, 629, 2421, 5920, 540, 713, 7381, 812, 945, 12134, 1360, 1463, 2055, 269, 17652, 267, 2705, 267, 1352, 7959, 9887, 6537, 547, 519, 2631, 540, 9814, 799, 4667, 547, 3295, 1864, 269, 2701, 1256, 2501, 547, 2972, 1010, 2754, 267, 10213, 9887, 972, 568, 1100, 2800, 538, 621, 269, 3371, 568, 835, 971, 3236, 912, 17606, 729, 609, 2370, 9983, 543, 1256, 513, 1166, 13616, 540, 12257, 602, 593, 513, 3802, 2059, 519, 8492, 540, 700, 5255, 932, 517, 267, 1772, 8475, 1336, 9887, 5329, 2754, 609, 7917, 17340, 651, 563, 8072, 1692, 1360, 8799, 547, 1294, 596, 267, 6004, 269, 17340, 651, 8730, 1352, 1767, 17869, 2685, 607, 646, 1793, 871, 2989, 1010, 1279, 29438, 5523, 10605, 547, 6474, 1200, 338, 269, 1261, 6743, 267, 1352, 2219, 267, 20938, 547, 1294, 1200, 1932, 563, 8072, 2252, 621, 779, 1100, 8373, 547, 596, 267, 14834, 600, 267, 594, 8910, 581, 19914, 547, 536, 728, 676, 596, 607, 9493, 3802, 10200, 3571, 16990, 15555, 1076, 540, 513, 5639, 729, 607, 25695, 607, 1352, 15422, 3034, 298, 1009, 344, 568, 519, 7385, 540, 6276, 5062, 31319, 3062, 269, 1358, 2661, 538, 513, 1507, 11876, 767, 25653, 883, 519, 15113, 728, 1657, 519, 5794, 1091, 685, 1753, 269, 2991, 741, 3355, 17895, 894, 1514, 5872, 918, 1009, 344, 5555, 2501, 547, 960, 585, 519, 7008, 267, 5329, 2777, 585, 873, 543, 4742, 513, 11967, 1476, 573, 656, 269, 2701, 20205, 1312, 1772, 8475, 779, 21632, 1869, 9799, 1126, 543, 267, 2673, 547, 519, 1439, 540, 519, 3209, 267, 1772, 8475, 779, 27630, 10867, 267, 513, 5067, 945, 267, 649, 3605, 267, 538, 519, 1433, 779, 6397, 267, 13858, 543, 9797, 18198, 5198, 547, 3932, 267, 814, 6603, 15296, 563, 763, 1079, 1292, 2239, 9739, 616, 1346, 540, 1772, 8475, 543, 918, 1009, 344, 609, 5618, 11271, 267, 3006, 1447, 982, 513, 2985, 610, 1256, 1152, 513, 1906, 3515, 267, 538, 799, 7917, 17340, 651, 6941, 547, 519, 5467, 1010, 4282, 610, 519, 3655, 2044, 9739, 646, 30650, 538, 1010, 2212, 269, 1261, 11099, 602, 972, 568, 1945, 602, 646, 1590, 798, 799, 786, 5305, 1864, 689, 519, 3655, 2044, 11963, 646, 568, 896, 543, 267, 1282, 1776, 540, 741, 15211, 267, 646, 840, 903, 593, 1772, 8475, 779, 1434, 2470, 269, 1261, 6941, 547, 1200, 912, 2108, 685, 16248, 1296, 3516, 594, 729, 5950, 689, 3655, 2044, 1560, 267, 855, 789, 20476, 7134, 585, 1250, 9997, 269, 1677, 581, 1863, 540, 3655, 2044, 543, 5884, 899, 1022, 824, 812, 267, 594, 993, 547, 30593, 513, 10243, 269, 1656, 547, 798, 602, 267, 547, 6443, 1772, 8475, 267, 1250, 15210, 8977, 539, 7385, 267, 538, 18163, 9769, 267, 594, 786, 991, 519, 948, 540, 1776, 19028, 9515, 10301, 585, 1250, 1688, 267, 799, 1352, 804, 553, 1186, 1034, 535, 969, 1836, 538, 1312, 1200, 513, 514, 563, 8072, 4517, 621, 568, 689, 803, 596, 3343, 948, 286, 1772, 602, 1946, 596, 723, 8179, 856, 1250, 2754, 891, 1082, 3275, 543, 1296, 2250, 286, 685, 7536, 2467, 568, 835, 1016, 7120, 267, 799, 8909, 569, 267, 1281, 4986, 547, 3986, 519, 3209, 269, 1452, 616, 1896, 2110, 880, 11271, 9446, 532, 10348, 15117, 543, 1200, 13584, 3117, 677, 9702, 532, 1101, 267, 538, 14642, 13871, 5600, 593, 519, 1772, 548, 540, 654, 697, 543, 267, 2034, 569, 267, 593, 519, 7195, 332, 7394, 24529, 538, 519, 13677, 4400, 4133, 269, 634, 1152, 4276, 547, 519, 1964, 540, 519, 1650, 267, 649, 5555, 3605, 267, 568, 602, 593, 12032, 540, 519, 1007, 1216, 4103, 519, 10424, 7008, 7390, 519, 6679, 593, 513, 1360, 6632, 1554, 538, 5239, 476, 6977, 280, 269, 634, 2680, 1223, 3362, 723, 1044, 1644, 538, 1079, 610, 1614, 3817, 607, 851, 540, 519, 835, 4143, 3184, 1510, 1818, 519, 3209, 538, 1022, 1259, 25013, 269, 901, 568, 519, 6609, 540, 875, 1082, 540, 519, 14538, 8452, 585, 519, 1390, 2680, 912, 28317, 3650, 649, 8491, 519, 1899, 540, 1561, 14876, 3560, 543, 3297, 873, 959, 644, 3022, 519, 4652, 1953, 919, 945, 1185, 14406, 856, 269, 3245, 942, 547, 942, 824, 2951, 6840, 267, 1346, 945, 1185, 536, 643, 537, 17977, 538, 519, 15113, 5310, 610, 5949, 2390, 930, 824, 1821, 1190, 8905, 547, 700, 5255, 15576, 9068, 267, 588, 698, 13499, 5196, 519, 4155, 547, 6443, 873, 11053, 6320, 713, 5127, 571, 1375, 1194, 6908, 540, 8103, 10138, 2059, 519, 1164, 10596, 540, 519, 646, 987, 609, 855, 835, 4126, 538, 1169, 6089, 281, 602, 789, 1522, 12446, 538, 942, 547, 6443, 741, 10348, 538, 14120, 519, 2941, 1190, 25736, 540, 4400, 1633, 1216, 3034, 763, 1433, 779, 10678, 568, 835, 540, 519, 1579, 3164, 560, 543, 1034, 17598, 594, 723, 2479, 1224, 538, 519, 1259, 621, 13218, 909, 10690, 7475, 269, 6736, 922, 5732, 10578, 4729, 267, 13804, 1380, 517, 779, 2864, 3819, 1603, 2511, 1797, 621, 666, 12212, 8473, 593, 267, 5310, 711, 3833, 19309, 267, 855, 6157, 593, 519, 5594, 20585, 2427, 269, 901, 666, 1118, 621, 513, 2370, 9875, 547, 1832, 2469, 982, 6148, 621, 11129, 547, 581, 563, 12179, 10515, 286, 281, 589, 3787, 540, 513, 6560, 693, 2053, 267, 855, 4502, 829, 13367, 532, 1175, 585, 519, 3209, 779, 1134, 7721, 1815, 3176, 10678, 269, 0, 257, 14276, 3486, 1876, 1754, 985, 519, 3347, 1063, 3084, 6608, 543, 954, 32744, 3906, 269, 898, 21560, 6608, 543, 954, 32744, 3906, 2066, 3084, 6302, 1701, 3057, 857, 32129, 2006, 543, 918, 15811, 5440, 565, 657, 267, 4139, 13751, 3194, 570, 12460, 807, 281, 5398, 4139, 4521, 331, 630, 18431, 10272, 3967, 269, 476, 2537, 267, 476, 1001, 274, 1916, 320, 269, 4139, 1230, 6761, 267, 2436, 2489, 610, 1880, 267, 9591, 3652, 2769, 569, 6444, 676, 519, 16311, 532, 2829, 3248, 321, 269, 4139, 11426, 267, 607, 2963, 540, 513, 2489, 2259, 7608, 607, 1876, 3248, 322, 269, 519, 4937, 14362, 540, 4521, 6444, 676, 3540, 1242, 6082, 3248, 323, 269, 1641, 547, 519, 14074, 540, 9137, 476, 6795, 267, 7225, 2772, 5463, 2888, 543, 519, 17546, 902, 540, 519, 4107, 4400, 569, 19120, 1881, 5398, 1235, 540, 519, 1585, 6082, 267, 607 ]

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

[ 829, 23739, 2439, 9202, 267, 2638, 856, 824, 2199, 536, 6033, 625, 547, 1294, 1018, 789, 5279, 585, 741, 12897, 269, 5213, 1405, 7340, 547, 1413, 693, 1312, 2462, 5832, 8637, 6730, 1507, 4830, 536, 6033, 625, 1317, 1004, 2503, 1114, 5777, 1759, 593, 519, 1826, 540, 1747, 789, 3643, 269, 5901, 3950, 540, 891, 5777, 543, 5469, 952, 1022, 1796, 856, 607, 1932, 1164, 610, 1970, 3379, 547, 16523, 780, 3086, 267, 1394, 547, 22400, 5863, 12897, 256, 4595, 789, 2811, 19471, 609, 2648, 267, 6148, 596, 1223, 17854, 12123, 513, 2370, 3787, 811, 982, 930, 15712, 945, 946, 840, 13402, 14859, 269, 3807, 581, 6297, 711, 547, 979, 936, 4580, 282, 6382, 267, 1761, 5561, 1522, 3442, 14949, 3681, 11992, 780, 15563, 267, 1832, 538, 2247, 602, 972, 616, 6266, 540, 12014, 547, 2628, 16310, 11256, 7727, 269, 589, 4558, 12506, 2115, 5201, 267, 1216, 267, 4950, 267, 543, 3006, 5520, 1932, 256, 5269, 2386, 707, 5777, 3382, 782, 1346, 3063, 3790, 1247, 1869, 1373, 8013, 2614, 547, 4482, 5561, 780, 3528, 1631, 267, 594, 914, 596, 2811, 3206, 267, 834, 32452, 267, 713, 3884, 1405, 865, 2182, 10590, 1656, 596, 9364, 581, 1318, 256, 2060, 15826, 7156, 2016, 547, 3790, 267, 6735, 267, 22464, 267, 543, 2949, 1870, 9276, 267, 596, 2811, 1134, 593, 707, 1259, 547, 13215, 519, 1148, 540, 14499, 4640, 538, 707, 2104, 29221, 2044, 18129, 269, 8414, 11256, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 6701, 596, 6236, 5887, 1005, 883, 519, 1158, 540, 29221, 2044, 9562, 610, 11842, 827, 519, 2883, 23812, 540, 606, 4540, 29221, 2044, 1870, 286, 4197, 519, 20656, 540, 536, 6033, 625, 267, 741, 8907, 12535, 267, 543, 9276, 568, 2629, 585, 1818, 5483, 3664, 563, 1103, 713, 2376, 267, 649, 786, 5490, 883, 519, 536, 6033, 625, 685, 2883, 2773, 543, 2263, 519, 29221, 2044, 7443, 14345, 269, 1284, 3580, 2626, 2055, 971, 607, 968, 1692, 1454, 798, 29221, 2044, 5411, 1118, 9495, 543, 968, 6701, 536, 6033, 625, 19311, 9495, 20331, 609, 713, 1702, 267, 596, 666, 6330, 519, 29221, 2044, 1870, 5251, 609, 6015, 563, 1432, 616, 519, 26959, 547, 3399, 513, 25234, 2044, 888, 28275, 513, 29221, 2044, 1870, 3322, 1585, 3790, 602, 666, 4268, 4922, 4470, 593, 519, 4336, 543, 4087, 540, 707, 14679, 563, 4002, 3328, 267, 6679, 513, 29221, 2044, 666, 1942, 9170, 689, 1269, 1015, 267, 1822, 547, 1269, 4335, 267, 1822, 610, 811, 269, 3371, 568, 513, 1592, 540, 476, 1015, 1455, 9276, 596, 1058, 2015, 950, 4358, 513, 29221, 2044, 267, 2059, 609, 741, 1942, 9832, 912, 268, 681, 550, 610, 2274, 848, 281, 13600, 569, 10519, 3790, 666, 2039, 689, 1269, 272, 267, 1822, 547, 1269, 1015, 267, 1822, 610, 811, 267, 4096, 514, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 303, 878, 532, 15613, 257, 607, 851, 540, 834, 24082, 1299, 18598, 1315, 19833, 1299, 590, 2454, 1315, 5004, 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 ]

[ 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, 18438, 30047, 281, 9861, 16721, 1563, 585, 519, 17023, 538, 8950, 14691, 692, 5331, 596, 616, 2679, 513, 8773, 602, 666, 948, 596, 1472, 519, 2777, 269, 901, 8773, 5205, 2241, 5528, 899, 834, 335, 1157, 909, 519, 11442, 2437, 834, 1584, 621, 538, 519, 10822, 2437, 543, 834, 2998, 1394, 547, 707, 12123, 6728, 1701, 1809, 1018, 4523, 952, 972, 568, 1100, 11442, 593, 519, 6989, 286, 2107, 952, 519, 10822, 568, 2407, 543, 3112, 3398, 1022, 811, 9162, 286, 2107, 952, 519, 8773, 13341, 606, 21677, 1247, 2469, 1394, 547, 922, 12123, 6728, 286, 1452, 6397, 3871, 2154, 1945, 1572, 5470, 7829, 1107, 513, 2629, 2460, 540, 5752, 602, 2337, 5904, 18783, 543, 4431, 14013, 950, 1919, 1810, 1406, 979, 4010, 2687, 547, 1544, 780, 4131, 781, 2263, 875, 5470, 7829, 4249, 513, 1909, 538, 1818, 938, 3292, 960, 12347, 1256, 950, 5185, 609, 20437, 6381, 2439, 8139, 8210, 5558, 454, 2411, 14945, 11293, 5558, 2049, 950, 649, 2547, 2503, 873, 267, 1175, 899, 950, 707, 2370, 7015, 1522, 9983, 596, 676, 15720, 896, 707, 5127, 256, 6684, 267, 6959, 666, 1402, 909, 538, 707, 3009, 1813, 547, 1585, 4128, 971, 607, 11234, 3403, 1239, 267, 9266, 9073, 267, 610, 5007, 2188, 3564, 707, 1852, 269, 1280, 3236, 267, 3843, 547, 7941, 513, 1297, 676, 4642, 1131, 1267, 538, 606, 5470, 2094, 6498, 676, 4642, 3884, 1405, 28879, 2009, 780, 2414, 6023, 891, 3871, 30780, 267, 23501, 946, 2027, 2553, 1634, 607, 9868, 7829, 610, 5470, 7829, 269, 1635, 7598, 713, 267, 789, 2327, 741, 11608, 4465, 1405, 2736, 1524, 693, 519, 1101, 1129, 540, 8373, 855, 786, 3079, 1491, 3617, 2962, 4470, 593, 519, 1826, 540, 3390, 11402, 780, 2750, 1061, 1308, 6201, 454, 2411, 21387, 22428, 596, 1616, 707, 19471, 8773, 547, 1216, 2371, 8164, 789, 1205, 1932, 3819, 269, 1411, 1223, 2328, 513, 1599, 602, 3800, 3037, 7509, 2157, 543, 7297, 519, 2030, 9935, 269, 1717, 267, 3006, 8596, 949, 29840, 610, 2285, 11234, 13220, 269, 1677, 2272, 585, 713, 7872, 267, 596, 991, 547, 6451, 5470, 7829, 1369, 707, 3009, 780, 2080, 781, 513, 16866, 1383, 1210, 29660, 2275, 1712, 630, 320, 1500, 5346, 1893, 2147, 547, 2296, 17107, 825, 9577, 4826, 24456, 263, 31542, 8548, 334, 626, 675, 2187, 1363, 1403, 3037, 8548, 334, 626, 675, 2999, 5551, 18386, 24038, 912, 17264, 12262, 18421, 568, 5386, 282, 1577, 781, 1216, 519, 2030, 2336, 17264, 12414, 4002, 306, 1440, 1074, 2401, 4590, 1363, 22527, 912, 2018, 12262, 772, 327, 19315, 267, 2901, 519, 9300, 568, 7745, 610, 4758, 7301, 2542, 563, 2018, 8298, 13286, 2891, 3383, 559, 7720, 626, 675, 32190, 23299, 5602, 2018, 3502, 1518, 302, 1233, 518, 2891, 2467, 4667, 547, 581, 606, 3390, 609, 519, 3037, 7509, 9300, 1701, 2020, 1103, 713, 2013, 267, 952, 519, 3037, 7509, 9300, 14543, 610, 3947, 606, 21494, 1871, 267, 519, 1062, 20743, 606, 5470, 5048, 543, 15920, 513, 31015, 547, 519, 8227, 827, 519, 1966, 269, 5502, 540, 9420, 569, 1739, 25768, 5528, 267, 519, 8773, 1631, 814, 513, 4960, 547, 9156, 543, 10332, 3755, 827, 1761, 2152, 780, 21652, 1782, 1401, 8526, 24553, 2685, 454, 10900, 19567, 9617, 607, 1565, 19831, 6575, 666, 948, 721, 9718, 6000, 1996, 13032, 625, 267, 1620, 9868, 7829, 6087, 938, 3292, 547, 4308, 609, 6397, 2621, 3927, 269, 20074, 1434, 5470, 7829, 2853, 2306, 938, 3156, 7347, 267, 3593, 7888, 267, 543, 5827, 540, 15268, 547, 4101, 7653, 780, 2026, 3743, 15888, 267, 6220, 1697, 5470, 7829, 5849, 602, 938, 13144, 2611, 5363, 16167, 2864, 982, 4742, 2959, 540, 17140, 1813, 547, 27644, 32657, 2355, 269, 5457, 267, 1373, 5423, 585, 17756, 5012, 547, 1732, 3301, 543, 18668, 3755, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 27287, 24486, 10466, 543, 519, 7736, 9734, 618, 540, 6406, 19115, 625, 454, 2304, 10495, 540, 519, 5518, 781, 8189, 593, 11879, 24486, 10466, 630, 15425, 5746, 303, 994, 16978, 3055, 21041, 6176, 4741, 454, 10666, 519, 18329, 21041, 6176, 4741, 454, 763, 18329, 21041, 6176, 4741, 630, 7968, 2975, 264, 568, 513, 1857, 1719, 1382, 4099, 538, 6115, 267, 667, 5861, 269, 898, 729, 3964, 538, 476, 1960, 275, 547, 1445, 1857, 3007, 593, 6932, 3540, 23118, 2152, 543, 547, 2149, 7834, 267, 519, 3689, 14821, 267, 543, 13338, 2418, 269, 21768, 2975, 568, 513, 1788, 540, 519, 8750, 585, 25799, 6554, 269, 21768, 2975, 1568, 538, 7681, 609, 21041, 4139, 267, 606, 3486, 1480, 2924, 1895, 1759, 538, 5507, 267, 5177, 543, 568, 849, 513, 4759, 540, 519, 6820, 5769, 23068, 22411, 267, 519, 5769, 5131, 20309, 19137, 543, 519, 5769, 21041, 29663, 563, 763, 21768, 2975, 3883, 32697, 2488, 513, 3102, 5542, 540, 2835, 543, 5359, 593, 2780, 3354, 267, 25563, 267, 519, 3689, 14821, 543, 1863, 4633, 267, 1930, 2229, 267, 543, 7834, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 13286, 30047, 257, 607, 851, 540, 834, 28035, 1315, 14691, 1315, 4937, 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, 6092, 5149, 281, 1215, 8693, 7827, 2904, 29196, 13149, 5020, 13206, 527, 1846, 692, 8702, 547, 713, 3078, 1576, 1770, 1141, 649, 786, 1451, 827, 875, 2916, 1689, 666, 1860, 519, 5321, 540, 7286, 2831, 256, 5620, 596, 2479, 9289, 1018, 621, 1131, 581, 899, 952, 707, 5172, 3662, 1185, 547, 1847, 1317, 741, 1753, 2968, 1932, 3905, 610, 1932, 4411, 286, 4270, 267, 602, 781, 4010, 1018, 1522, 4755, 547, 930, 540, 938, 5836, 2828, 1813, 547, 2518, 8337, 269, 2913, 781, 4685, 1318, 883, 1565, 811, 2439, 5575, 267, 1577, 781, 2911, 827, 1018, 834, 30873, 1689, 257, 1797, 269, 1411, 949, 723, 4862, 4079, 6158, 827, 621, 1354, 269, 15439, 2322, 267, 2916, 1689, 4016, 547, 1713, 2242, 538, 2518, 5210, 543, 4365, 3270, 936, 942, 269, 1452, 2242, 616, 5097, 3361, 676, 1004, 8781, 8093, 10173, 899, 5755, 543, 3282, 799, 13847, 8511, 9362, 630, 3697, 3327, 8166, 264, 883, 3047, 781, 5790, 269, 1879, 972, 616, 1932, 1082, 8511, 9362, 267, 789, 15972, 3002, 689, 519, 3141, 543, 2014, 938, 4541, 547, 3636, 909, 780, 3086, 267, 4952, 1373, 513, 3165, 2713, 2282, 519, 3345, 24504, 269, 898, 781, 7168, 669, 11035, 972, 267, 1318, 286, 1809, 609, 782, 891, 3063, 8511, 9362, 1818, 938, 1158, 15911, 267, 1256, 1346, 476, 5390, 7297, 1376, 8022, 909, 256, 2368, 3165, 1522, 2972, 2348, 5594, 15911, 1216, 267, 855, 1866, 4465, 1405, 269, 1358, 1522, 991, 547, 1265, 16830, 4025, 547, 2661, 1107, 1175, 899, 950, 3425, 1413, 585, 2011, 14555, 1282, 4832, 3002, 30335, 256, 1924, 267, 789, 1223, 7669, 2509, 519, 18635, 10478, 585, 21617, 9249, 269, 12207, 1289, 713, 3350, 540, 2831, 3168, 585, 1007, 5321, 513, 834, 9792, 6521, 6231, 4913, 267, 3001, 3884, 1405, 2141, 2653, 890, 6470, 11993, 17065, 5414, 585, 7286, 7068, 269, 1280, 835, 3364, 267, 10977, 1390, 9883, 3217, 6266, 540, 1648, 269, 1656, 1018, 952, 1776, 3662, 2907, 2729, 538, 519, 1747, 789, 1616, 547, 979, 286, 5994, 4687, 707, 23103, 609, 2576, 3116, 945, 6499, 547, 1847, 538, 256, 21220, 25056, 267, 26001, 286, 3958, 267, 930, 2831, 4096, 593, 1808, 2010, 540, 5054, 547, 7639, 269, 1403, 789, 3112, 1265, 2147, 2175, 12341, 3116, 267, 789, 1981, 12955, 856, 4625, 269, 2334, 1131, 1611, 9561, 873, 11014, 267, 799, 2306, 3744, 1360, 8909, 780, 2467, 616, 1978, 2249, 602, 616, 2523, 7925, 547, 2916, 1689, 5222, 269, 1284, 1289, 873, 834, 628, 805, 2989, 2249, 2437, 2495, 789, 3068, 2362, 4220, 540, 7106, 8960, 689, 938, 12084, 269, 3509, 2188, 3565, 547, 1946, 789, 2811, 693, 1981, 267, 1519, 1919, 649, 798, 267, 899, 936, 325, 5109, 269, 3683, 325, 5109, 4523, 950, 1004, 6952, 1932, 1082, 3165, 267, 6028, 7864, 3297, 547, 16196, 543, 1832, 5095, 7123, 269, 3767, 4605, 4946, 2916, 1689, 2591, 593, 1283, 540, 4540, 6937, 910, 586, 10105, 256, 898, 3587, 3833, 4101, 585, 891, 10475, 4262, 7919, 547, 3082, 543, 3136, 14762, 780, 2414, 948, 2149, 891, 5863, 7068, 267, 3173, 946, 1945, 1572, 834, 31695, 2127, 1701, 6056, 540, 891, 607, 2027, 16973, 2966, 4481, 585, 7320, 269, 3143, 3425, 616, 4847, 547, 4283, 610, 2800, 519, 2831, 1369, 891, 10851, 865, 789, 666, 9108, 2661, 741, 2729, 269, 2060, 2916, 1689, 4929, 10593, 538, 7286, 1272, 14778, 267, 3173, 1631, 4898, 2436, 1699, 6870, 2127, 786, 1869, 1683, 5078, 5321, 585, 891, 2831, 538, 519, 2104, 780, 1103, 713, 1576, 1770, 267, 649, 786, 2263, 875, 1114, 2780, 2645, 1572, 1412, 14588, 2886, 3892, 3631, 262, 666, 3589, 1141, 7286, 2831, 1522, 1847, 1813, 547, 4657, 16374, 269, 1635, 9256, 1344, 689, 1896, 3631, 267, 3744, 1205, 513, 20501, 2856, 540, 1018, 1223, 4755, 547, 1585, 7286, 2249, 538, 519, 1985, 1906, 5756, 269, 4635, 519, 3345, 7256, 3148, 607, 513, 2013, 1353, 267, 649, 786, 1294, 799, 2831, 1522, 4228, 741, 9832, 543, 799, 3283, 1223, 3068, 14486, 269, 5015, 267, 649, 3513, 1865, 2009, 3527, 649, 666, 1491, 1927, 547, 2327, 1312, 938, 11537, 4262, 1814, 1562, 543, 741, 9241, 6074, 5321, 2611, 2922, 543, 3280, 780, 3383, 31617, 909, 267, 1250, 8284, 10357, 21351, 19144, 256, 8625, 267, 649, 786, 3460, 998, 519, 4241, 7706, 540, 7286, 14498, 267, 26500, 6456, 11580, 540, 2470, 1247, 12423, 2081, 547, 16102, 922, 3304, 9317, 11317, 1996, 519, 829, 2812, 540, 2916, 1689, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 17471, 2916, 1689, 568, 7133, 519, 3892, 540, 7286, 2249, 543, 568, 2219, 547, 2099, 513, 3463, 547, 9265, 269, 19881, 2090, 1788, 7269, 540, 2249, 2039, 585, 930, 2249, 543, 2199, 14486, 11992, 896, 2916, 1689, 269, 6270, 2039, 10593, 6318, 6161, 585, 2249, 4171, 1279, 3856, 18094, 568, 2907, 12219, 676, 824, 1480, 18063, 971, 607, 10068, 269, 1717, 267, 1906, 2090, 723, 13986, 547, 2708, 519, 2360, 540, 2104, 2916, 1689, 593, 12219, 9451, 24260, 7286, 2249, 1210, 513, 3818, 21524, 601, 1935, 269, 1703, 814, 849, 1044, 513, 2487, 10006, 540, 1719, 538, 2916, 1689, 5222, 593, 6870, 2127, 269, 901, 1353, 10039, 1614, 2249, 3892, 3631, 543, 1079, 5036, 540, 2916, 2203, 20327, 547, 2263, 519, 1761, 5222, 540, 2916, 1689, 593, 7286, 2249, 676, 476, 13078, 271, 269, 589, 1305, 540, 2249, 538, 519, 3345, 7256, 267, 1519, 5722, 12219, 543, 4557, 2101, 5010, 2249, 941, 1031, 607, 513, 2013, 1353, 269, 15448, 538, 7226, 29839, 538, 5697, 11134, 6870, 2127, 513, 709, 333, 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, 7913, 12474, 20520, 281, 634, 5295, 540, 14871, 268, 17653, 730, 12474, 543, 11473, 19457, 15107, 13257, 692, 1103, 2221, 781, 10562, 1158, 267, 3593, 24378, 1543, 630, 308, 24774, 264, 814, 1831, 513, 22294, 540, 3811, 6725, 2994, 2066, 1585, 6080, 269, 772, 24774, 4016, 547 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2295, 2068, 267, 5761, 2068, 267, 543, 3075, 946, 563, 303, 23307, 6285, 543, 11784, 4524, 616, 711, 519, 1482, 3364, 269, 7754, 545, 4524, 3322, 20443, 11784, 6285, 2059, 609, 3586, 12194, 827, 2348, 2104, 6285, 543, 267, 1419, 267, 9319, 3871, 602, 949, 9594, 610, 7618, 2576, 540, 3105, 6285, 269, 3502, 782, 11784, 6285, 616, 3361, 676, 11784, 4524, 282, 824, 2175, 949, 9594, 513, 11784, 4323, 269, 1358, 1522, 1331, 912, 4322, 6285, 616, 513, 10835, 540, 11784, 4524, 267, 513, 1826, 540, 4160, 4524, 602, 5540, 930, 476, 273, 269, 275, 2929, 772, 2529, 269, 4079, 269, 634, 4524, 1034, 1419, 5956, 1282, 519, 3735, 12322, 543, 2038, 15296, 543, 16716, 7466, 607, 1082, 1977, 2021, 607, 2367, 269, 3143, 835, 6487, 1018, 3123, 11784, 4524, 267, 1498, 3173, 14353, 513, 4999, 540, 6211, 543, 2825, 2188, 267, 1519, 1920, 1686, 630, 13732, 4524, 4667, 547, 2196, 538, 3885, 1070, 17173, 1272, 2621, 267, 3075, 543, 4568, 6057, 267, 543, 3206, 3270, 602, 21179, 622, 3339, 2168, 6547, 563, 10144, 609, 11784, 4524, 1419, 5855, 827, 950, 519, 1985, 4323, 786, 4755, 543, 8362, 2119, 547, 2061, 2104, 6285, 676, 9319, 4025, 267, 3871, 267, 610, 5615, 789, 12314, 609, 11784, 6285, 269, 1937, 787, 827, 11784, 6285, 267, 543, 519, 4674, 6170, 3843, 547, 2057, 6285, 267, 2014, 1713, 2042, 538, 1585, 2127, 540, 519, 1268, 779, 1272, 267, 1519, 519, 1646, 540, 989, 528, 7469, 14113, 630, 5408, 2630, 1040, 0, 21938, 476, 1321, 628, 267, 476, 1001, 280, 454, 2791, 798, 3388, 596, 666, 547, 2149, 707, 22525, 609, 28863, 1804, 543, 1507, 269, 12305, 532, 602, 7294, 1286, 10160, 269, 8431, 1005, 856, 799, 24429, 568, 1655, 585, 10347, 2960, 269, 1975, 2056, 4374, 1126, 16513, 532, 707, 1753, 269, 1809, 782, 519, 960, 7863, 707, 1126, 568, 811, 982, 4502, 621, 1317, 519, 12587, 616, 865, 1390, 269, 1656, 835, 811, 4948, 13390, 1081, 602, 6770, 1390, 12587, 568, 7863, 707, 22525, 689, 5694, 9178, 563, 268, 3399, 7216, 454, 763, 942, 547, 1376, 707, 4816, 779, 5959, 1416, 568, 1256, 1354, 602, 1101, 5694, 21128, 269, 28392, 530, 31441, 519, 14779, 609, 513, 2973, 267, 14927, 12308, 1310, 8023, 4991, 707, 1126, 1031, 547, 519, 2856, 540, 17678, 543, 18788, 4551, 602, 1522, 8886, 622, 519, 14779, 607, 519, 4522, 2253, 547, 21074, 269, 1306, 4166, 607, 1346, 4522, 12446, 267, 9543, 17678, 609, 2571, 1490, 30178, 786, 1832, 4551, 543, 15799, 689, 4929, 5694, 9178, 543, 31470, 26628, 269, 1284, 666, 4363, 21491, 770, 525, 19775, 2523, 585, 20854, 543, 2303, 519, 1655, 2081, 547, 11453, 563, 268, 9650, 634, 32386, 454, 2171, 917, 602, 24494, 3536, 5749, 1406, 2635, 585, 707, 22525, 779, 4522, 269, 29318, 538, 519, 5023, 20555, 593, 4006, 267, 543, 513, 4006, 13463, 8283, 2732, 2164, 538, 811, 540, 519, 4551, 543, 15799, 799, 2014, 19659, 269, 1809, 4006, 568, 711, 519, 1152, 1426, 602, 568, 711, 5694, 7888, 269, 1280, 1383, 267, 3536, 899, 20521, 5613, 543, 23238, 666, 849, 581, 513, 1966, 269, 18729, 545, 3536, 666, 2965, 14020, 19596, 1310, 4189, 543, 4734, 4522, 811, 7925, 547, 13570, 27351, 6748, 4551, 543, 15799, 269, 1284, 723, 10372, 585, 5694, 268, 11794, 16152, 543, 519, 1655, 2053, 547, 11453, 1310, 4189, 952, 596, 543, 707, 1126, 32696, 538, 513, 1521, 563, 268, 5213, 1406, 16700, 2224, 645, 2714, 956, 1299, 590, 2089, 344, 595, 5725, 454, 7312, 22525, 1522, 1869, 946, 513, 11480, 693, 3781, 610, 513, 521, 2089, 344, 7484, 2429, 519, 1554, 269, 4236, 1182, 543, 1256, 5144, 2270, 4006, 602, 4679, 519, 1981, 540, 19659, 267, 543, 952, 707, 1126, 4422, 547, 3207, 609, 513, 11480, 610, 7484, 267, 891, 15559, 7535, 538, 519, 5023, 16074, 3850, 4551, 547, 21707, 269, 1403, 707, 22525, 6499, 513, 4235, 693, 3781, 610, 1063, 6980, 267, 1216, 568, 513, 1454, 1732, 4781, 563, 17829, 6263, 4522, 616, 1271, 585, 865, 1082, 4128, 269, 1358, 5512, 1453, 547, 11116, 543, 25261, 7561, 267, 547, 24969, 4992, 5265, 585, 4633, 1646, 267, 543, 547, 4688, 2230, 585, 2937, 4522, 865, 789, 21074, 538, 519, 1318, 1747, 269, 3220, 338, 269, 7788, 2871, 518, 571, 543, 25014, 3821, 2274, 11803, 543, 938, 2319, 4363, 602, 707, 1126, 3643, 938, 645, 686, 541, 743, 858, 2494, 528, 267, 12924, 5604, 1310, 519, 1101, 5694, 2501, 538, 267, 543, 2141, 676, 519, 1101, 14512, 269, 1284, 786, 1118, 2386, 707, 22525, 779, 4522, 616, 3384, 607, 789, 1058, 581, 543, 2303, 2081, 547, 1832, 873, 13570, 6954, 269, 2659, 22525, 779, 2635, 267, 4190, 12837, 568, 513, 8007, 4502, 7863, 2336, 21938, 476, 276, 628, 267, 476, 1001, 280, 454, 21938, 568, 2817, 5753, 779, 15482, 2657, 13600, 267, 543, 513, 3501, 942, 585, 3220, 338, 269, 7788, 2871, 518, 571, 543, 25014, 3821, 2274, 11803, 547, 2689, 930, 540, 519, 1271, 3268, 538, 5329, 707, 1126, 779, 12837, 2635, 2336, 15900, 1416, 568, 1655, 256, 4634, 1354, 4522, 2408, 267, 519, 1977, 15482, 5948, 15565, 9900, 530, 31441, 707, 4816, 779, 14779, 609, 513, 2973, 267, 5848, 12238, 2763, 14950, 610, 11547, 743, 1054, 1310, 8023, 269, 1879, 1010, 610, 1200, 1101, 5694, 21128, 267, 621, 779, 942, 547, 8430, 707, 1126, 779, 1101, 3643, 269, 3776, 5604, 786, 581, 6126, 547, 2626, 1022, 2055, 596, 1522, 723, 827, 17678, 2645, 543, 2553, 269, 901, 568, 849, 606, 4316, 547, 2638, 711, 1152, 5694, 1072, 267, 855, 10265, 543, 4522, 1646, 269, 6744, 707, 4816, 779, 4522, 5781, 267, 543, 1289, 721, 952, 596, 723, 1022, 4145, 563, 3528, 519, 942, 1453, 616, 1614, 267, 789, 786, 4440, 723, 782, 610, 1034, 540, 741, 4816, 4522, 269, 5696, 5241, 707, 1126, 779, 4522, 7466, 513, 1554, 609, 513, 2571, 1532, 2077, 1194, 267, 1126, 13355, 11453, 568, 513, 1390, 2203, 585, 950, 707, 1126, 5956, 17678, 593, 1010, 610, 1200, 1378, 269, 1656, 950, 4522, 2253, 547, 5905, 267, 29781, 707, 1126, 779, 4522, 568, 5227, 2899, 513, 1554, 607, 1134, 269, 5457, 547, 8430, 2834, 2638, 5725, 693, 938, 645, 686, 541, 743, 858, 2494, 528, 267, 12924, 5604, 267, 543, 948, 1118, 707, 22525, 779, 3643, 2318, 676, 2542, 2835, 610, 8384, 7044, 827, 9683, 519, 11290, 267, 1210, 1404, 5503, 547, 2259, 1919, 602, 1522, 4755, 538, 519, 11290, 779, 11381, 630, 7945, 607, 6679, 1010, 610, 1200, 5023, 547, 1293, 4522, 1070, 543, 4058, 11564, 1282, 2053, 707, 1126, 568, 1134, 3146, 23264, 563, 7312, 3427, 5025, 613, 4132, 454, 7312, 1126, 1522, 581, 4712, 547, 1491, 593, 17678, 543, 29781, 1247, 596, 27459, 1047, 267, 543, 972, 616, 1082, 2081, 596, 666, 5000, 1312, 26997, 543, 25981, 1490, 639, 1667, 256, 634, 5084, 288, 15565, 1079, 3764, 540, 6297, 17678, 7466, 513, 1554, 267, 610, 607, 9859, 676, 707, 11290, 610, 10629, 269, 1411, 666, 946, 891, 2185, 1271, 3764, 547, 2995, 707, 1126, 2984, 267, 6432, 547, 2575, 267, 610, 11453, 1927, 269, 2659, 1126, 666, 948, 3442, 1010, 610, 1200, 28750, 543, 26025, 267, 610, 7118, 29654, 585, 513, 17678, 2816, 1134, 2944, 269, 25529, 547, 513, 6296, 585, 1655, 2164, 267, 543, 8430, 2834, 2638, 5725, 543, 2973, 902, 547, 2149, 707, 1126, 779, 2949, 5959, 1072, 269, 901, 568, 849, 606, 1271, 2085, 547, 2638, 11116, 12972, 267, 1022, 1761, 26966, 545, 2152, 267, 543, 519, 7872, 540, 13021, 1218, 563, 21938, 1522, 581, 519, 20125, 3923, 267, 855, 621, 779, 513, 1390, 942, 547, 2015, 707, 1126, 779, 1272, 17489, 12837, 269, 1403, 596, 723, 1022, 2055, 610, 4145, 267, 519, 2319, 693, 938, 645, 686, 541, 743, 858, 2494, 528, 267, 12924, 5604, 568, 2141, 6126, 547, 1865, 873, 609, 596, 1765, 1415, 942, 540, 1032, 2336, 20464, 476, 3066, 628, 267, 476, 1001, 280, 454, 2252, 707, 2856, 540, 22742, 568, 513, 9602, 3802, 998, 519, 18137, 1354, 13059, 547, 707, 15309, 545, 15678, 267, 707, 2834, 17678, 6208, 786, 581, 3501, 585, 707, 7552, 269, 1809, 952, 596, 616, 19482, 883, 519, 10239, 609, 707, 17895, 267, 30618, 267, 543, 3786, 1426, 267, 3220, 338, 269, 7788, 2871, 518, 571, 543, 25014, 3821, 2274, 11803, 543, 938, 2319, 723, 930, 10372, 547, 3082, 707, 5959, 6296, 547, 519, 1390, 13964, 563, 2252, 596, 9327, 1406, 4235, 621, 267, 1810, 1406, 11453, 609, 621, 256, 2422, 4420, 1194, 1216, 952, 596, 723, 4547, 621, 267, 610, 1118, 2386, 519, 2199, 1216, 568, 2922, 676, 1210, 513, 4152, 6539, 269, 4425, 4979, 267, 12086, 543, 22729, 14342, 616, 782, 2081, 547, 1118, 2386, 519, 1216, 4255, 2973, 543, 2922, 563, 2791, 5749, 1406, 519, 1152, 835, 538, 519, 18137, 945, 9060, 707, 26025, 17705, 269, 645, 8986, 267, 986, 764, 9398, 267, 543, 824, 2831, 616, 13631, 547, 519, 20416, 540, 707, 26025, 267, 865, 1832, 621, 2922, 609, 519, 1482, 2186, 540, 17401, 20177, 267, 17627, 31383, 8708, 602, 596, 1832, 707, 1426, 538, 269, 1656, 952, 596, 1616, 547, 25339, 13311, 8436, 267, 1810, 1406, 838, 527, 707, 26025, 856, 693, 707, 3786, 3033, 256, 898, 779, 1732, 547, 979, 930, 3845, 689, 707, 3135, 543, 30565, 1022, 13594, 267, 543, 1655, 540, 782, 547, 838, 527, 1031, 26025, 883, 513, 8708, 602, 666, 581, 17401, 6806, 543, 6569, 689, 519, 13122, 924, 950, 596, 2212, 585, 1753, 269, 901, 2259, 14014, 596, 543, 519, 1604, 607, 1134, 267, 2094, 26025, 666, 581, 5739, 547, 1507, 2831, 543, 2371, 563, 4407, 972, 616, 25551, 543, 22742, 5694, 1962, 16640, 2139, 267, 513, 2834, 28750, 786, 960, 607, 1134, 269, 28611, 267, 2011, 1673, 11538, 568, 519, 1072, 5006, 4781, 585, 15018, 707, 28750, 267, 855, 22742, 568, 606, 9868, 269, 3807, 607, 2831, 616, 13631, 547, 26025, 267, 789, 616, 849, 13631, 547, 707, 26025, 1606, 1417, 539, 28750, 269, 5901, 621, 538, 513, 20177, 8708, 602, 568, 17627, 31383, 563, 2467, 616, 7270, 13991, 547, 519, 1082, 19782, 1190, 2081, 547, 946, 5959, 19568, 1247, 22742, 267, 855, 649, 4363, 519, 3312, 946, 269, 5213, 1406, 7340, 547, 19568, 5781, 267, 1832, 621, 538, 513, 20177, 8708, 267, 543, 798, 581, 2386, 547, 1491, 1031, 19568, 856, 540, 519, 1858, 609, 596, 563, 10214, 1498, 596, 616, 11315, 532, 621, 267, 6529, 609, 707, 1753, 6296, 607, 1454, 607, 2009, 269, 1403, 596, 616, 8572, 547, 11453, 607, 8912, 267, 27125, 707, 5023, 1134, 609, 2973, 1216, 543, 11453, 950, 596, 666, 269, 5620, 513, 1390, 7552, 267, 543, 1175, 835, 811, 2219, 1765, 16673, 2041, 979, 2653, 593, 519, 521, 6557, 2803, 269, 2913, 721, 917, 782, 827, 707, 7552, 1282, 707, 1985, 3643, 547, 938, 645, 686, 541, 743, 858, 2494, 528, 267, 12924, 5604, 2336, 20464, 476, 2420, 526, 267, 476, 1001, 280, 454, 29261, 616, 2356, 4274, 693, 2921, 1416, 540, 741, 1453, 779, 7063, 269, 1411, 917, 875, 547, 21149, 513, 2759, 267, 865, 6139, 513, 29424, 593, 519, 2212, 267, 543, 4019, 513, 6512, 720, 5488, 982, 596, 666, 1025, 1074, 563, 3719, 1018, 4523, 952, 707, 1126, 23119, 513, 5959, 5945, 286, 29726, 666, 1205, 7745, 267, 5679, 18088, 856, 267, 610, 19774, 689, 513, 3196, 995, 1764, 267, 543, 3237, 11129, 547, 917, 1018, 547, 798, 538, 1346, 3871, 267, 1932, 269, 24664, 1176, 267, 3220, 338, 269, 7788, 2871, 518, 571, 543, 25014, 3821, 2274, 11803, 543, 938, 2319, 616, 1934, 547, 581, 513, 4199, 585, 971, 13685, 2336, 2419, 5792, 4395, 4522, 616, 513, 1455, 5945, 585, 1762, 1453, 269, 3689, 267, 2638, 547, 1294, 952, 519, 4522, 723, 1044, 7745, 547, 519, 8229, 269, 1411, 666, 2995, 713, 568, 519, 2013, 952, 596, 1294, 6106, 543, 513, 11909, 880, 4099, 563, 10190, 267, 530, 24513, 548, 1142, 5694, 547, 1118, 2386, 621, 568, 711, 10690, 269, 1403, 519, 4522, 1869, 1745, 16119, 538, 1747, 267, 602, 779, 513, 1434, 1129, 269, 5213, 1406, 5855, 952, 789, 616, 513, 2370, 10690, 267, 1317, 789, 786, 9395, 523, 1586, 609, 942, 563, 2252, 707, 1126, 10953, 513, 1164, 2837, 610, 11116, 8417, 267, 2126, 568, 2556, 543, 1223, 1331, 513, 3597, 12324, 563, 288, 5679, 18088, 13050, 5694, 568, 606, 5945, 602, 3340, 811, 3007, 982, 1175, 8343, 269, 700, 11229, 519, 5694, 607, 4166, 607, 596, 666, 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 ]

[ 832, 2015, 1312, 2713, 543, 21549, 2043, 17709, 540, 862, 754, 566, 780, 4089, 476, 275, 281, 1133, 4328, 17086, 910, 3690, 20139, 31197, 17978, 454, 2026, 8115, 10489, 2105, 10665, 267, 865, 1932, 1705, 3646, 547, 5431, 922, 23594, 269, 3683, 942, 267, 3486, 3906, 3459, 23712, 2066, 2477, 547, 8661, 1283, 22407, 269, 1452, 30427, 14223, 5121, 4547, 8115, 12439, 6251, 982, 2479, 1354, 267, 2870, 5867, 1141, 3309, 9739, 1223, 26595, 3297, 513, 3838, 6612, 780, 3528, 2324, 1927, 267, 891, 5121, 15469, 2208, 1369, 519, 8115, 2146, 267, 2799, 1857, 4656, 540, 519, 3014, 267, 543, 4396, 1881, 922, 4567, 607, 513, 16048, 8013, 20089, 269, 3414, 10770, 14223, 267, 1256, 1875, 25178, 619, 3357, 547, 5660, 519, 5898, 543, 6988, 540, 8115, 780, 4089, 476, 276, 281, 16497, 3231, 2740, 910, 1215, 2052, 1411, 5269, 513, 16338, 888, 5522, 11691, 8115, 3091, 11995, 9913, 1871, 267, 855, 1565, 827, 922, 588, 528, 1221, 1686, 8711, 1898, 3344, 540, 2797, 2257, 269, 13018, 267, 649, 1294, 875, 13730, 2950, 666, 15407, 2797, 3157, 543, 14223, 5121, 547, 3035, 1455, 3853, 269, 6787, 707, 4690, 9114, 538, 5026, 267, 6575, 267, 610, 1776, 2361, 7357, 267, 3314, 891, 1883, 4245, 950, 3168, 547, 1198, 1689, 1384, 265, 10576, 899, 16490, 2043, 8348, 547, 1489, 707, 2014, 282, 4222, 6013, 538, 2338, 563, 265, 3763, 2312, 6859, 267, 24152, 1018, 1967, 5654, 899, 543, 4259, 24276, 19325, 2059, 519, 1259, 563, 265, 11622, 622, 609, 4540, 5238, 610, 3715, 1007, 3283, 5827, 540, 6117, 11610, 4464, 563, 265, 22676, 720, 2923, 9055, 547, 2671, 2984, 543, 6095, 1676, 3007, 585, 707, 5692, 780, 8855, 267, 1169, 1713, 3350, 5956, 609, 1507, 3268, 3144, 676, 8149, 2043, 269, 1306, 596, 3136, 3695, 6214, 543, 18523, 6278, 267, 1832, 538, 2247, 519, 11121, 3460, 540, 8115, 5716, 8087, 1472, 513, 2582, 5075, 23121, 21592, 741, 19644, 3014, 883, 513, 2518, 7613, 6444, 676, 782, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 295, 718, 540, 674, 877, 3778, 454, 763, 8065, 540, 674, 877, 729, 3323, 676, 519, 15167, 2622, 12139, 538, 476, 3422, 275, 609, 15713, 2818, 661, 569, 26943, 828, 1206, 517, 267, 8176, 717, 648, 333, 267, 29733, 966, 6387, 321, 2830, 267, 744, 1873, 12245, 15243, 344, 267, 29859, 4518, 267, 28788, 2284, 700, 20044, 267, 9546, 12047, 541, 13153, 2098, 539, 13512, 6308, 267, 20999, 2480, 1156, 5287, 543, 28788, 2284, 8125, 31121, 269, 1879, 519, 12139, 19944, 4240, 922, 960, 593, 519, 10689, 267, 1100, 2818, 941, 3773, 2394, 519, 8028, 13993, 556, 28004, 519, 1982, 538, 476, 1960, 276, 269, 16952, 2818, 723, 1044, 3773, 1142, 1032, 2094, 1287, 563, 295, 718, 540, 674, 877, 22952, 454, 15411, 281, 763, 8028, 13993, 8065, 540, 674, 877, 7046, 13815, 4927, 581, 2016, 12422, 547, 2713, 2043, 945, 723, 6913, 23146, 538, 519, 3014, 540, 8115, 543, 723, 606, 14222, 29658, 2594, 269, 1358, 4927, 581, 11221, 676, 1528, 832, 267, 607, 4330, 538, 8791, 476, 276, 540, 519, 8065, 540, 674, 877, 5665, 5773, 563, 341, 517, 2098, 539, 13512, 6308, 13815, 281, 763, 8028, 13993, 8065, 540, 674, 877, 13153, 2098, 539, 13512, 6308, 13815, 4927, 581, 2016, 547, 2713, 610, 21549, 1367, 4433, 264, 945, 723, 6913, 23146, 538, 519, 3014, 540, 8115, 543, 723, 606, 14222, 29658, 2594, 855, 945, 949, 711, 723, 1044, 538, 519, 1929, 601, 697, 585, 513, 1129, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 623, 27773, 13316, 1315, 11572, 6713, 1315, 11572, 31197, 1315, 3690, 20139, 31197, 17978, 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, 8080, 547, 938, 2951, 1770, 827, 595, 1824, 342, 9529, 16645, 1137, 543, 24104, 538, 4279, 6628, 256, 901, 4190, 3148, 538, 4789, 568, 1634, 585, 922, 23406, 14252, 543, 29271, 24781, 269, 2913, 781, 1491, 513, 3460, 998, 713, 22539, 1747, 1927, 2439, 5970, 596, 2479, 16545, 2713, 538, 513, 18912, 9661, 286, 2334, 781, 4010, 875, 9683, 519, 595, 1824, 342, 9529, 7959, 899, 256, 5994, 25865, 4565, 9693, 10754, 20898, 609, 9932, 23469, 6149, 26181, 1137, 267, 18932, 3039, 15113, 267, 543, 7874, 1004, 269, 1411, 1522, 1256, 1294, 930, 13265, 21737, 538, 519, 4610, 2439, 3719, 1946, 616, 519, 5656, 1500, 540, 9932, 23469, 10007, 286, 4270, 267, 5215, 540, 1296, 3516, 267, 22260, 6410, 2066, 519, 2244, 543, 20024, 7725, 3638, 538, 4401, 269, 3683, 942, 267, 891, 7725, 941, 7745, 1524, 883, 4130, 4773, 1572, 18574, 269, 4658, 1287, 1031, 713, 18574, 547, 1628, 8075, 267, 6821, 267, 543, 9897, 269, 1879, 6534, 547, 2011, 543, 1216, 267, 519, 4401, 538, 519, 4224, 7140, 519, 10007, 11344, 6960, 910, 8754, 267, 519, 28215, 834, 327, 2292, 23469, 3010, 3086, 267, 1577, 781, 2911, 827, 519, 1187, 8631, 910, 3695, 519, 10034, 543, 14252, 256, 2368, 2442, 3283, 1331, 25816, 2023, 6823, 7308, 8862, 831, 267, 16340, 3118, 267, 8738, 5112, 267, 932, 6235, 8805, 6577, 267, 543, 853, 578, 6823, 7308, 8862, 1245, 269, 3962, 8498, 814, 922, 2189, 19259, 543, 1915, 602, 786, 4734, 596, 16462, 811, 269, 1280, 1383, 267, 25816, 2023, 6823, 7308, 8862, 831, 568, 1419, 5219, 547, 607, 519, 1412, 309, 523, 823, 540, 519, 595, 1824, 342, 9529, 262, 1317, 540, 922, 1970, 13123, 15385, 519, 5757, 6489, 337, 2313, 269, 11531, 267, 16340, 3118, 19646, 513, 2647, 1164, 8265, 4904, 609, 9221, 18133, 4054, 267, 7504, 9221, 22756, 267, 543, 1714, 916, 269, 898, 781, 849, 1753, 547, 519, 4583, 10370, 12455, 1488, 916, 15678, 1141, 1082, 28245, 723, 18423, 2439, 4407, 6972, 1472, 891, 844, 5593, 2370, 4025, 267, 1810, 1405, 7340, 547, 2119, 2199, 13000, 971, 607, 521, 935, 525, 609, 8052, 1540, 8645, 543, 25888, 267, 2757, 2296, 7401, 267, 610, 6148, 1256, 3165, 543, 13365, 256, 962, 636, 2439, 6524, 649, 1439, 938, 5691, 7552, 267, 3314, 602, 3106, 2501, 1101, 950, 4058, 513, 1483, 7045, 269, 11408, 2327, 596, 3640, 14013, 2687, 547, 519, 4365, 267, 5957, 6899, 10887, 267, 4019, 24429, 267, 3251, 19872, 267, 543, 1246, 5046, 268, 866, 4808, 1305, 676, 1072, 8128, 269, 1656, 7058, 1018, 286, 13488, 6142, 3884, 1405, 1152, 2877, 585, 18246, 12599, 282, 3006, 267, 2348, 3795, 585, 6469, 15143, 666, 1683, 4708, 540, 2247, 1932, 2439, 2171, 4126, 713, 4367, 547, 519, 595, 1824, 342, 9529, 16645, 1137, 543, 24104, 814, 17275, 7279, 1369, 596, 269, 1703, 781, 865, 1454, 811, 547, 1451, 543, 3605, 827, 713, 9589, 7944, 540, 4279, 6628, 269, 1924, 1205, 4712, 267, 10544, 707, 30618, 267, 543, 1577, 781, 7832, 593, 713, 3078, 3460, 1927, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 8702, 267, 594, 1589, 594, 4312, 5176, 3893, 1169, 9702, 4988, 267, 594, 4126, 972, 568, 1945, 1934, 585, 1022, 1826, 540, 9702, 267, 594, 6415, 2141, 3843, 547, 1039, 547, 519, 6300, 563, 2467, 616, 1079, 27487, 1934, 267, 519, 1101, 835, 630, 519, 1283, 610, 2451, 3738, 568, 513, 2656, 10624, 585, 1346, 945, 917, 1018, 789, 1616, 267, 519, 2034, 630, 5377, 610, 1318, 10624, 264, 3947, 513, 811, 2143, 7778, 540, 519, 3549, 267, 540, 1576, 596, 666, 1175, 2638, 873, 856, 3054, 676, 14467, 593, 873, 593, 519, 1283, 10624, 563, 5472, 6402, 616, 7396, 9904, 1227, 267, 865, 952, 596, 4941, 513, 5636, 320, 9702, 621, 781, 1259, 1524, 519, 5377, 540, 519, 10624, 563, 26542, 866, 814, 2322, 1034, 14812, 593, 3180, 267, 607, 5796, 568, 4657, 782, 540, 519, 942, 267, 5225, 2638, 1354, 596, 1433, 563, 10673, 1405, 7340, 707, 9702, 6142, 952, 707, 10707, 13383, 563, 289, 639, 12671, 267, 670, 8980, 294, 328, 306, 543, 1744, 600, 13702, 518, 616, 6578, 3864, 4663, 268, 6016, 2209, 28110, 2509, 519, 6107, 2344, 267, 782, 3808, 676, 519, 3838, 2832, 540, 1818, 741, 15915, 685, 6666, 12701, 607, 2484, 607, 2009, 563, 19853, 15143, 616, 585, 476, 1240, 268, 3374, 1032, 31545, 593, 513, 5692, 547, 2263, 2342, 267, 543, 789, 6186, 873, 609, 5140, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 290, 1824, 342, 9529, 16645, 1137, 543, 24104, 257, 607, 851, 540, 834, 307, 30728, 1315, 2342, 1315, 4279, 6628, 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, 1879, 594, 3893, 7608, 883, 9466, 2160, 267, 594, 729, 936, 519, 7599, 269, 1717, 267, 607, 519, 10761, 12306, 1524, 267, 4641, 3323, 29855, 538, 910, 875, 729, 594, 2469, 547, 6488, 621, 286, 5637, 1250, 3237, 941, 3610, 267, 543, 1247, 789, 2141, 9415, 1250, 2648, 585, 1565, 267, 649, 2760, 1185, 3063, 2724, 14084, 1472, 585, 2852, 24875, 780, 14188, 2685, 267, 1282, 835, 540, 1346, 3735, 5991, 697, 4160, 7886, 29957, 998, 23749, 781, 678, 20324, 3497, 308, 1016, 1042, 9016, 630, 13433, 267, 971, 513, 13395, 7944, 6818, 593, 519, 4950, 256, 1070, 594, 16686, 2390, 930, 3407, 4030, 827, 9466, 781, 7029, 2509, 2870, 606, 8537, 1604, 585, 1053, 689, 1585, 14227, 10080, 780, 20058, 267, 9466, 814, 513, 991, 15918, 785, 16075, 3609, 799, 5921, 602, 789, 4769, 1405, 2015, 1250, 1920, 781, 2883, 4567, 950, 14045, 2436, 547, 16153, 803, 610, 711, 269, 901, 5795, 803, 10373, 8323, 6616, 602, 594, 7012, 1405, 693, 513, 19319, 1813, 547, 938, 9395, 6578, 780, 30772, 267, 2899, 15861, 267, 9466, 1558, 476, 1911, 260, 540, 1250, 7152, 2883, 991, 269, 1358, 6035, 803, 513, 21464, 2883, 5351, 10189, 9967, 540, 14828, 543, 960, 24713, 344, 3255, 3079, 540, 12029, 269, 898, 1500, 2362, 2069, 3100, 1447, 18447, 20019, 269, 4014, 5883, 942, 1063, 2090, 543, 851, 6066, 6009, 1223, 581, 4101, 267, 7487, 865, 1082, 8284, 1053, 5104, 31227, 2147, 9021, 5280, 3339, 1125, 519, 1995, 780, 4913, 267, 972, 3357, 606, 6397, 6335, 4571, 3118, 998, 1250, 8683, 558, 648, 1032, 269, 3733, 4651, 4503, 1010, 2816, 1394, 1753, 1813, 547, 6855, 2759, 10587, 269, 1284, 6836, 5329, 621, 896, 12109, 1186, 4250, 532, 621, 1522, 1860, 1250, 4081, 4876, 11874, 269, 1809, 1287, 1586, 267, 1934, 2501, 1776, 16990, 9983, 1107, 519, 11215, 2146, 693, 9466, 780, 288, 3659, 8068, 11029, 2242, 538, 1250, 2623, 543, 9900, 14593, 2394, 594, 8118, 909, 269, 5502, 540, 10385, 267, 1352, 15527, 609, 6568, 543, 4052, 5796, 28068, 803, 4724, 2200, 2139, 1369, 519, 6280, 269, 3245, 2790, 1072, 24784, 945, 6956, 519, 2566, 2189, 547, 1101, 22831, 2852, 1053, 543, 1453, 540, 4544, 2275, 20683, 4600, 547, 6595, 7482, 1305, 11735, 4481, 585, 16839, 899, 9553, 282, 9466, 5963, 25374, 3564, 9067, 3028, 780, 19185, 1394, 1631, 267, 607, 594, 5965, 547, 10927, 1985, 5614, 267, 594, 8275, 875, 13710, 891, 1296, 723, 1044, 267, 711, 1175, 27268, 855, 13948, 1932, 269, 9861, 851, 540, 513, 3309, 2875, 1560, 1141, 3025, 781, 3460, 20974, 1229, 8449, 6026, 803, 811, 982, 1022, 4928, 2479, 1705, 269, 1656, 9811, 267, 7064, 547, 519, 13784, 7341, 693, 9466, 267, 594, 7307, 547, 1205, 513, 1158, 11665, 4110, 1510, 21002, 2287, 8885, 610, 1250, 3237, 609, 524, 23774, 1782, 7963, 780, 3383, 267, 952, 596, 2811, 2542, 713, 11842, 952, 20380, 5238, 2731, 8597, 547, 17215, 3309, 5095, 267, 1577, 803, 26924, 596, 910, 1759, 593, 1250, 1378, 2833, 543, 9118, 2984, 16079 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3080, 540, 18999, 8725, 24806, 685, 9954, 602, 594, 4448, 609, 568, 968, 12663, 966, 28233, 2142, 2725, 28233, 18320, 9495, 24806, 5956, 713, 6648, 676, 4481, 5466, 1010, 8284, 4892, 268, 3043, 4892, 593, 519, 1753, 12506, 543, 8165, 538, 24918, 269, 1635, 3257, 713, 267, 24806, 1281, 711, 10714, 547, 2446, 602, 3109, 4892, 616, 849, 593, 519, 1753, 12506, 543, 8165, 538, 24918, 607, 621, 19156, 835, 540, 519, 3119, 6835, 540, 713, 6648, 269, 769, 3210, 267, 594, 5433, 602, 24806, 31234, 602, 3979, 4892, 1058, 711, 581, 5701, 8335, 950, 789, 723, 1500, 519, 1482, 19647, 547, 30176, 1977, 9111, 29143, 1227, 543, 18368, 607, 741, 3043, 13413, 269, 5565, 267, 519, 772, 2529, 269, 3112, 1175, 569, 2161, 602, 789, 4076, 16309, 538, 1863, 532, 2043, 689, 12250, 21440, 543, 8635, 267, 971, 607, 4436, 7642, 267, 2943, 798, 4986, 547, 9004, 13343, 18844, 4031, 602, 1860, 519, 3979, 1977, 2146, 269, 14936, 267, 594, 1745, 602, 24806, 2055, 1018, 966, 28233, 268, 7861, 800, 4303, 268, 1797, 547, 3979, 4892, 945, 616, 1869, 538, 6125, 720, 538, 519, 968, 1633, 540, 519, 1863, 1848, 769, 824, 1913, 267, 646, 568, 28409, 3043, 3013, 547, 9691, 556, 7721, 8533, 519, 11348, 789, 6591, 689, 741, 11802, 538, 24918, 1317, 519, 1977, 1753, 12506, 1869, 814, 24245, 1514, 16526, 543, 17536, 1182, 7133, 3109, 3013, 563, 4002, 602, 4063, 267, 594, 993, 711, 14281, 676, 18999, 8725, 24806, 685, 3310, 538, 3013, 1282, 519, 476, 736, 628, 2540, 269, 594, 993, 14281, 547, 5873, 602, 3220, 269, 9410, 13162, 3751, 267, 12789, 269, 1705, 711, 5491, 24806, 538, 1010, 968, 296, 5620, 513, 14134, 892, 4633, 269, 594, 4898, 1946, 713, 16563, 4797, 538, 1686, 267, 1256, 538, 519, 3109, 2146, 269, 901, 19595, 803, 540, 950, 789, 1289, 596, 513, 22681, 281, 513, 3109, 2729, 2339, 17728, 676, 4793, 5142, 572, 16679, 4211, 1638, 832, 543, 607, 3873, 6512, 25279, 269, 594, 3314, 602, 538, 713, 17728, 267, 4793, 5142, 572, 268, 835, 540, 519, 15713, 2818, 540, 519, 4563, 22032, 17460, 11873, 268, 3081, 602, 519, 5313, 2229, 9286, 1200, 543, 824, 2818, 540, 1200, 1920, 543, 2828, 607, 9810, 1235, 585, 741, 4550, 268, 2350, 626, 17933, 269, 2201, 602, 4063, 267, 594, 1131, 2161, 602, 15865, 5718, 666, 849, 11457, 856, 540, 519, 5313, 2229, 779, 5114, 543, 3210, 547, 519, 9739, 540, 1004, 945, 616, 711, 3043, 543, 14547, 269, 0, 763, 26499, 540, 31684, 630, 23873, 7467, 264, 12218, 923, 267, 12409, 267, 3778, 267, 28133, 11470, 267, 1715, 15733, 267, 13129, 454, 4462, 16225, 835, 540, 519, 1158, 779, 6574, 8941, 538, 713, 9735, 1433, 563, 10870, 4532, 4575, 609, 519, 3905, 569, 17191, 3703, 7467, 14266, 31684, 281, 19088, 543, 18712, 538, 5437, 476, 1001, 280, 267, 713, 568, 519, 4241, 1650, 540, 519, 9552, 540, 606, 3504, 2749, 543, 519, 1082, 2081, 621, 814, 1044, 5143, 543, 1427, 1245, 936, 942, 563, 8722, 520, 1005, 12194, 727, 21847, 267, 3532, 15831, 525, 543, 2367, 5217, 28749, 267, 891, 8941, 723, 26970, 1453, 543, 4079, 585, 5215, 540, 1296, 269, 1809, 616, 789, 2731, 1175, 8941, 286, 7316, 729, 519, 1483, 31684, 286, 1656, 1946, 616, 1004, 1869, 865, 18930, 539, 609, 713, 19416, 2749, 888, 16966, 1043, 267, 10578, 543, 16168, 538, 3160, 2268, 267, 713, 568, 519, 3501, 1433, 547, 1205, 1453, 9599, 827, 5259, 13299, 543, 20857, 909, 519, 2250, 269, 12698, 476, 277, 32504, 272, 538, 6006, 454, 268, 717, 3424, 6486, 454, 268, 1715, 15733, 454, 268, 6348, 11470, 0, 347, 30764, 21333, 27755, 28405, 8294, 12022, 20901, 1475, 30764, 21333, 476, 14180, 404, 368, 14507, 17262, 20901, 1475, 25078, 8294, 12022, 18457, 14180, 20254, 404, 368, 8294, 14507, 1475, 14534, 28405, 8294, 12022, 20901, 18457, 14180, 406, 363, 12022, 17262, 25078, 17262, 1475, 20254, 14507, 404, 361, 14534, 20901, 476, 28519, 8294, 14507, 25078, 17262, 1475, 14180, 25078, 404, 362, 20901, 12168, 359, 14534, 8294, 14534, 27755, 20254, 14180, 2008, 347, 11260, 29204, 276, 1475, 13923, 27038, 278, 1475, 1001, 274, 1475, 1015, 12168, 369, 28519, 404, 511, 20901, 7300, 1475, 25078, 28519, 8294, 14507, 404, 368, 12168, 363, 20901, 17262, 21333, 1475, 21333, 8294, 14180, 12022, 15906, 21333, 12168, 365, 8294, 17262, 406, 363, 8294, 14180, 2008, 1892, 5754, 326, 668, 6973, 545, 547, 1535, 518, 25806, 27354, 1689, 2282, 519, 18983, 334, 4211, 12365, 26448, 10465, 563, 1892, 19232, 657, 11169, 5815, 1689, 689, 2479, 6632, 547, 4005, 958, 3819, 936, 519, 1482, 8884, 563, 1892, 853, 762, 24745, 540, 12779, 657, 565, 6886, 5815, 513, 8337, 267, 689, 476, 2420, 13008, 476, 274, 11019, 290, 547, 476, 3374, 13008, 476, 274, 11019, 290, 563, 1892, 6755, 985, 10944, 1014, 2837, 9193, 616, 16830, 982, 2413, 9341, 11934, 563, 1892, 18983, 1014, 2837, 9193, 616, 967, 626, 3907, 27720, 689, 2413, 9341, 11934, 563, 2304, 2333, 538, 7777, 16358, 1436, 5210, 540, 9625, 476, 1724, 13008, 476, 274, 11019, 290, 568, 12873, 538, 12779, 657, 565, 12632, 630, 534, 2615, 11934, 264, 1369, 513, 14404, 15572, 545, 8884, 540, 2999, 476, 2412, 544, 11098, 538, 18983, 334, 4211, 12365, 26448, 31324, 538, 7262, 20337, 658, 623, 1052, 320, 630, 19640, 5087, 7266, 1537, 7147, 1040, 17623, 6755, 985, 10944, 1014, 543, 7216, 18983, 1014, 3037, 15902, 1968, 16358, 1436, 5210, 616, 6059, 998, 519, 1353, 8884, 609, 5135, 543, 7250, 24236, 15885, 540, 12779, 25660, 8328, 943, 22690, 657, 32281, 919, 543, 22104, 2572, 3144, 689, 12779, 657, 565, 12632, 269, 25392, 10865, 3037, 268, 543, 2011, 27529, 7403, 689, 2413, 20337, 658, 4000, 267, 943, 22690, 657, 559, 6510, 16358, 1436, 5210, 2693, 9765, 2627, 2011, 5210, 676, 9625, 476, 273, 13008, 476, 273, 11019, 290, 269, 5015, 267, 519, 8337, 7678, 19674, 689, 6755, 985, 10944, 1014, 21943, 3037, 7777, 16358, 1436, 5210, 267, 799, 616, 15186, 16830, 982, 3037, 5210, 4767, 538, 519, 2413, 1970, 1633, 21050, 923, 267, 547, 18983, 1014, 21943, 3037, 7777, 16358, 1436, 5210, 267, 799, 616, 6697, 547, 267, 610, 5594, 9765, 267, 3037, 5210, 4767, 538, 2413, 1970, 1633, 21050, 923, 269, 901, 2594, 540, 7777, 16358, 1436, 5210, 4386, 693, 513, 942, 950, 930, 2959, 5815, 519, 12614, 540, 519, 4102, 2582, 12620, 2747, 540, 519, 17623, 19232, 32223, 10979, 6520, 7868, 2837, 1689, 8612, 676, 891, 12779, 657, 565, 6886, 568, 10483, 676, 513, 796, 573, 27399, 267, 26464, 1689, 538, 519, 5888, 540, 9341, 1970, 1633, 10664, 269, 901, 5912, 30431, 919, 519, 9588, 543, 4162, 540, 3543, 1049, 2242, 538, 519, 2413, 21050, 923, 602, 1522, 13173, 4797, 11626, 8337, 269, 8648, 540, 1970, 2627, 5210, 14626, 728, 609, 513, 6093, 17623, 6755, 985, 10944, 1014, 267, 9341, 623, 1052, 534, 267, 968, 342, 564, 892, 27354, 13856, 676, 590, 580, 650, 7559, 267, 5839, 337, 821, 1755, 335, 614, 529, 267, 824, 533, 614, 573, 657, 704, 916, 543, 2261, 3430, 658, 6756, 7542, 985, 269, 901, 2030, 31174, 720, 568, 8719, 22883, 6053, 676, 513, 1535, 518, 25806, 27354, 13856, 676, 598, 28875, 267, 1289, 760, 614, 1749, 267, 543, 824, 6079, 2371, 267, 8984, 540, 519, 9341, 18983, 1014, 2066, 7262, 543, 3844, 623, 1052, 320, 269, 634, 4628, 1535, 518, 25806, 18508, 5526, 7620, 538, 1016, 2173, 2678, 8397, 15135, 1369, 856, 23145, 1186, 6382, 6353, 676, 6632, 18508, 267, 543, 3587, 12880, 2899, 8445, 2627, 5210, 941, 6603, 538, 519, 9998, 18983, 1014, 269, 589, 7522, 14404, 15572, 545, 8884, 630, 736, 544, 264, 24508, 891, 1079, 1979, 2345, 538, 519, 3148, 267, 16287, 1018, 729, 547, 581, 513, 8628, 32550, 2065, 1689, 538, 7262, 623, 1052, 320, 269, 634, 2539, 4763, 1166, 23768, 540, 4005, 958, 3819, 9249, 15151, 28953, 689, 5671, 518, 3063, 21353, 1400, 2127, 883, 5051, 3819, 8916, 19497, 13856, 676, 519, 6632, 27354, 269, 901, 1353, 6054, 519, 6237, 14897, 766, 540, 606, 3003, 9341, 27354, 609, 513, 2121, 5786, 540, 9265, 18913, 4028, 2825, 8337, 563, 22711, 281, 4139, 4750, 540, 15021, 30578, 910, 11730, 476, 15686, 267, 476, 272, 5437, 476, 1001, 274, 267, 9664, 476, 10082, 1700, 5908, 0, 763, 14271, 7564, 560, 1127, 773, 630, 5228, 3504, 5259, 21566, 21227, 14832, 10382, 15403, 17385, 15184, 31149, 14832, 14267, 19031, 10382, 15403, 861, 3534, 626, 327, 17505, 558, 2967, 2073, 4436, 2073, 8296, 1412, 610, 267, 693, 519, 1482, 942, 13498, 10807, 18575, 5097, 519, 23993, 540, 1079, 610, 811, 9308, 5094, 23857, 540, 8226, 269, 898, 2501, 827, 998, 519, 954, 933, 3058, 540, 10444, 23857, 1547, 901, 4145, 519, 4276, 540, 2681, 543, 2837, 630, 1721, 1383, 519, 4276, 968, 342, 1301, 3039, 25257, 3280, 2073, 2575, 543, 2230, 1547, 769, 513, 7522, 518, 2631, 267, 5348, 17561, 568, 519, 8226, 540, 10444, 15128, 676, 1071, 7721, 322, 1243, 4393, 7740, 540, 513, 10444, 1418, 538, 519, 2634, 950, 1776, 1418, 568, 25623, 269, 4658, 945, 1995, 11994, 5532, 538, 713, 1259, 616, 1572, 861, 3534, 652, 2867, 525, 610, 861, 3534, 652, 2867, 525, 563, 26239, 17561, 4386, 538, 3885, 269, 769, 835, 1353, 267, 476, 6246, 260, 540, 519, 861, 3534, 652, 2867, 525, 23500, 7150, 602, 972, 729, 693, 2547, 835, 824, 861, 3534, 652, 2867, 1851, 519, 1101, 24266, 14077, 563, 26239, 17561, 616, 14350, 1114, 11994, 269, 1635, 2933, 789, 616, 711, 2589, 540, 4713, 282, 1717, 267, 789, 666, 2049, 1813, 547, 4576, 630, 1721, 1383, 1310, 21901, 264, 610, 3075, 14001, 630, 1721, 1383, 998, 26390, 514, 11077, 30155, 1103, 20116, 267, 519, 2165, 6763, 585, 519, 11544, 540, 10444, 2157, 4586, 24357, 8344, 2343, 14583, 454, 26239, 17561, 267, 799, 568, 4810, 896, 3339, 2175, 543, 3335, 10953, 538, 6689, 267, 568, 513, 3339, 14583, 540, 8226, 269, 769, 861, 3534, 652, 2867, 525, 267, 513, 10444, 17003, 689, 835, 10444, 1110, 1275, 12153, 606, 3606, 968, 704, 4003, 892, 538, 693, 2547, 835, 824, 10444, 1110, 1275, 610, 1016, 7116, 1275, 540, 513, 2631, 269, 901, 1797, 602, 267, 585, 1383, 267, 18565, 968, 560, 6593, 892, 519, 2960, 267, 6492, 17915, 1491, 593, 1114, 968, 3333, 16747, 892, 610, 5322, 616, 10483, 676, 513, 968, 338, 895, 6100, 2859, 982, 476, 2568, 14726, 540, 5348, 17561, 616, 1634, 269, 589, 10444, 17003, 1281, 711, 2141, 723, 547, 581, 1459, 269, 3509, 861, 3534, 652, 2867, 525, 13498, 2338, 538, 2681, 543, 585, 930, 519, 2790, 14839, 540, 519, 1297, 568, 2614, 547, 9594, 519, 7801, 563, 2108, 26239, 17561, 568, 513, 17195, 282, 513, 3099, 540, 4720, 602, 2636, 9637, 547, 5352, 811, 1344, 676, 16046, 519, 12823, 543, 23993, 621, 609, 4606, 269, 11660, 2090, 609, 9196, 2409, 723, 3254, 602, 5348, 652, 2867, 525, 723, 513, 811, 1950, 3060, 539, 2634, 269, 27029, 763, 2165, 5348, 17561, 13315, 930, 824, 9259, 602, 798, 711, 2099, 513, 7453, 3095, 1063, 519, 2947, 1292, 12823, 2073, 609, 513, 1007, 4214, 540, 5348, 17561, 1373, 5941, 269, 30248, 616, 3238, 538, 4743, 5348, 17561, 269, 898, 814, 1044, 1336, 602, 4664, 666, 18427, 861, 3534, 20469, 4778, 543, 602, 930, 2043, 1268, 1518, 2338, 543, 824, 7493, 15128, 269, 769, 2043, 267, 28241, 2326, 2014, 1978, 4664, 269, 6271, 7613, 568, 519, 4743, 540, 1373, 20109, 593, 835, 781, 1378, 1560, 267, 799, 568, 15427, 676, 11287, 1776, 1268, 1373, 20109, 269, 634, 2790, 14839, 540, 5705, 527, 956, 602, 13173, 9275, 610, 2219, 1913, 729, 849, 1644, 547, 861, 3534, 17561, 269, 769, 1840, 547, 519, 2947, 1292, 12823, 267, 5179, 1983, 538, 4276, 609, 6217, 267, 585, 1383, 267, 666, 849, 9594, 861, 3534, 17561, 269, 901, 7613, 1131, 8915, 3294, 538, 602, 519, 1268, 27498, 513, 1978, 14302, 609, 513, 3280, 269, 4935, 267, 609, 3670, 10444, 23857, 630, 515, 2130, 267, 7487, 267, 512, 8463, 267, 4743, 267, 1159, 2454, 267, 5179, 1983, 264, 13977, 2009, 1079, 17574, 10659, 540, 23857, 1267, 563, 763, 24254, 17003, 540, 5348, 17561, 568, 1572, 606, 1802, 1356, 538, 519, 2296, 25082, 3332, 1547, 634, 861, 3534, 20469, 3606, 14815, 568, 1572, 21276, 1547, 634, 21276, 666, 581, 538, 610, 856, 540, 2219, 267, 543, 538, 519, 8545, 2013, 519, 2707, 540, 519, 8226, 568, 2312, 269, 1280, 1383, 267, 930, 861, 3534, 652, 2867, 525, 666, 711, 1152 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 30144, 4522, 543, 14779, 666, 581, 9738, 676, 2348, 513, 1434, 6640, 6296, 563, 1432, 2186, 540, 834, 332, 528, 940, 1268, 257, 616, 596, 286, 1879, 519, 15372, 4422, 1055, 267, 798, 596, 7914, 856, 540, 5127, 11235, 547, 1376, 519, 1554, 267, 610, 798, 596, 32603, 1394, 896, 519, 29198, 2394, 519, 1360, 2063, 8792, 888, 2171, 666, 782, 798, 513, 2603, 540, 1919, 547, 2327, 602, 649, 1376, 1142, 1554, 609, 513, 2635, 4522, 543, 14779, 267, 7488, 540, 875, 938, 6640, 13467, 8428, 689, 835, 1776, 563, 5978, 4703, 666, 6336, 7509, 267, 3226, 952, 649, 723, 513, 12402, 547, 1205, 3636, 693, 3781, 269, 769, 1249, 267, 2687, 547, 930, 1382, 267, 1216, 2306, 909, 1472, 476, 3199, 260, 540, 519, 2597, 649, 6336, 16074, 563, 5719, 5139, 1674, 949, 1267, 689, 713, 267, 543, 607, 649, 782, 917, 267, 18024, 12651, 519, 1981, 540, 10733, 2068, 269, 4107, 1004, 2693, 798, 4235, 538, 519, 544, 1941, 902, 267, 1034, 1419, 7401, 610, 6995, 610, 5310, 513, 4829, 10433, 269, 2368, 3409, 602, 6995, 543, 7401, 616, 1019, 675, 9455, 267, 855, 1866, 1631, 8969, 713, 3409, 269, 4014, 621, 666, 581, 15755, 267, 4829, 10433, 568, 4440, 1732, 585, 20697, 267, 6704, 23494, 1223, 5732, 3441, 519, 19596, 540, 707, 4522, 563, 7197, 540, 721, 4440, 4465, 1405, 18178, 938, 6640, 10425, 267, 2436, 621, 568, 6995, 610, 7401, 267, 855, 6704, 513, 4837, 540, 1216, 786, 849, 948, 538, 3289, 7992, 707, 1560, 1354, 519, 1554, 5956, 563, 2791, 4312, 2693, 4862, 519, 8360, 834, 17954, 752, 9724, 568, 519, 1034, 1271, 7594, 540, 519, 1554, 2437, 16505, 9724, 12777, 1797, 8840, 707, 3728, 269, 2659, 1560, 568, 1970, 593, 1648, 2094, 596, 6170, 513, 2603, 540, 942, 693, 3781, 17509, 630, 20365, 12008, 3108, 1916, 28848, 14254, 711, 1152, 25242, 707, 1648, 2157, 543, 2337, 596, 1445, 1732, 538, 960, 610, 538, 1153, 267, 855, 621, 849, 2337, 609, 1082, 824, 3344, 540, 707, 2168, 543, 2790, 1072, 269, 1306, 609, 1022, 7594, 267, 4006, 1058, 581, 3908, 269, 1924, 798, 3054, 513, 3870, 543, 723, 513, 2635, 14254, 2336, 27662, 532, 707, 4522, 454, 2171, 4126, 602, 3025, 786, 11453, 741, 4522, 1312, 538, 519, 6640, 543, 693, 3781, 269, 2368, 723, 10645, 602, 7738, 707, 4522, 538, 519, 6640, 568, 711, 607, 1271, 1317, 596, 2907, 1705, 621, 519, 3781, 1354, 543, 972, 18387, 1405, 1044, 1022, 1426, 13881, 2094, 563, 4407, 10169, 4977, 267, 519, 3781, 568, 950, 17900, 666, 5531, 593, 519, 4522, 267, 11469, 543, 14779, 267, 3226, 950, 13204, 3603, 630, 5408, 1657, 1040, 901, 568, 1946, 707, 6640, 2973, 568, 1175, 607, 1271, 607, 707, 3781, 569, 2973, 543, 8617, 29781, 568, 1898, 547, 4509, 513, 2635, 5711, 6296, 269, 1306, 851, 540, 1434, 5711, 1416, 9015, 267, 596, 849, 991, 547, 1294, 707, 19239, 626, 563, 1432, 5711, 1416, 2472, 1058, 596, 946, 888, 2521, 938, 645, 3918, 26059, 18027, 2752, 11862, 3911, 850, 29392, 335, 4292, 267, 7429, 824, 21491, 770, 525, 267, 1142, 3099, 540, 645, 3918, 26059, 18027, 2752, 11862, 3911, 850, 3568, 938, 3532, 543, 7920, 7738, 543, 23906, 515, 940, 4542, 563, 4517, 585, 707, 7362, 23906, 1156, 619, 267, 2119, 938, 645, 3918, 26059, 18027, 2752, 11862, 9941, 575, 1564, 267, 7429, 6671, 7362, 23906, 1156, 619, 799, 1152, 9633, 17627, 267, 782, 5991, 1823, 22165, 327, 13428, 3149, 2285, 596, 9434, 6015, 676, 22215, 3983, 7362, 693, 519, 2707, 269, 0, 25440, 568, 4190, 269, 7591, 568, 1271, 269, 7591, 568, 519, 1259, 538, 799, 1453, 1332, 883, 519, 4079, 602, 786, 835, 1554, 1413, 1310, 938, 4541, 269, 1703, 616, 513, 8536, 2081, 513, 6689, 666, 581, 4190, 267, 855, 649, 16119, 3494, 602, 1930, 25804, 267, 1582, 30928, 1404, 1058, 2141, 581, 693, 519, 8998, 269, 11822, 267, 1930, 25804, 9162, 616, 513, 8748, 1259, 547, 7520, 713, 269, 4208, 798, 649, 1589, 713, 286, 3367, 593, 2336, 2467, 568, 513, 1434, 2601, 602, 1082, 1453, 2648, 519, 5191, 540, 1373, 13964, 269, 634, 1404, 2326, 789, 5531, 267, 2436, 789, 616, 5810, 610, 8371, 543, 16853, 267, 616, 1930, 25804, 269, 1358, 666, 1788, 741, 4690, 543, 2093, 5196, 891, 2326, 543, 2490, 873, 883, 1018, 789, 7287, 269, 589, 7936, 666, 581, 513, 18338, 781, 2156, 558, 267, 519, 1376, 540, 513, 3954, 267, 610, 513, 9059, 18389, 256, 589, 8768, 666, 581, 519, 1376, 540, 513, 13862, 610, 519, 2027, 12146, 538, 513, 9059, 1494, 542, 269, 1284, 1058, 3815, 538, 519, 1482, 1761, 585, 5876, 538, 519, 2200, 543, 9162, 649, 3142, 883, 519, 1753, 269, 1703, 786, 2141, 581, 513, 1747, 585, 873, 539, 9162, 602, 1246, 707, 1126, 779, 4690, 267, 855, 649, 3494, 519, 1655, 1259, 547, 7520, 2620, 267, 6209, 1404, 568, 676, 2348, 513, 15977, 540, 2241, 267, 2067, 9162, 602, 666, 581, 8726, 519, 1126, 6499, 873, 547, 581, 269, 3371, 616, 938, 1283, 25926, 585, 519, 1826, 540, 9162, 602, 786, 5000, 5191, 267, 5876, 543, 7115, 538, 707, 2370, 3283, 563, 26594, 2679, 7161, 616, 513, 1390, 1376, 547, 713, 2186, 540, 1404, 267, 799, 7512, 6310, 3206, 267, 1966, 9010, 543, 8901, 4656, 269, 589, 2241, 1305, 540, 7161, 666, 1831, 513, 13486, 267, 513, 2777, 267, 513, 1259, 547, 1293, 543, 513, 1259, 547, 2490, 519, 16545, 883, 4641, 269, 3399, 609, 513, 1305, 540, 11308, 7161, 543, 4228, 607, 707, 1126, 9428, 538, 2085, 543, 1719, 256, 589, 1906, 540, 938, 19463, 12478, 1934, 1331, 18087, 680, 320, 543, 1230, 6339, 1460, 269, 5637, 12478, 5000, 513, 5458, 3099, 540, 1983, 267, 689, 5885, 2565, 3206, 267, 5386, 543, 14407, 5179, 1983, 267, 998, 547, 16177, 543, 9316, 950, 1031, 538, 2516, 269, 20646, 2880, 2336, 306, 15036, 607, 2241, 607, 513, 14950, 540, 1957, 543, 22916, 976, 610, 19444, 7888, 23445, 568, 513, 8748, 1747, 547, 1376, 1934, 269, 9741, 3283, 786, 2253, 547, 1665, 1118, 267, 543, 607, 789, 1332, 267, 2253, 547, 2328, 543, 2721, 5961, 8204, 741, 4690, 269, 11559, 2370, 3283, 547, 1589, 827, 1114, 18116, 267, 15437, 543, 5546, 789, 1223, 1118, 547, 1489, 2565, 3206, 543, 5386, 5179, 1852, 269, 17006, 5862, 543, 1114, 7499, 23447, 786, 1152, 4228, 593, 519, 7772, 543, 1404, 1761, 256, 1306, 2370, 3283, 1332, 267, 2119, 856, 811, 1950, 3785, 899, 2870, 2458, 1137, 689, 2759, 13050, 17476, 547, 22938, 20592, 609, 31629, 1426, 10833, 910, 1390, 585, 5885, 9657, 543, 6940, 269, 1411, 1223, 1256, 1711, 1148, 4773, 1759, 593, 741, 19463, 2835, 610, 2984, 2336, 299, 5366, 2694, 616, 513, 4105, 851, 540, 1404, 543, 5000, 1909, 1404, 267, 10203, 543, 811, 269, 11822, 11308, 4773, 616, 513, 17681, 1259, 547, 2253, 10690, 2694, 1404, 267, 855, 596, 666, 849, 798, 713, 609, 2067, 2326, 899, 10007, 267, 16115, 267, 598, 24329, 543, 811, 269, 9741, 3283, 786, 1293, 267, 1711, 5961, 267, 610, 1256, 2490, 741, 10690, 2694, 883, 1909, 25178, 2326, 899, 2048, 31817, 685, 610, 17339, 256, 1403, 713, 1858, 540, 1404, 4690, 596, 267, 835, 540, 938, 19463, 12478, 568, 7101, 32256, 13983, 345, 269, 6282, 832, 540, 18991, 2241, 267, 1930, 25804, 9162, 267, 519, 6216, 24151, 519, 1523, 602, 519, 12863, 519, 11442, 267, 519, 811, 4055, 585, 1404, 267, 5876, 543, 9345, 972, 666, 581, 563, 28012, 3283, 2648, 547, 1847, 741, 4703, 910, 865, 1577, 779, 5000, 713, 609, 1404, 2326, 602, 948, 873, 798, 865, 256, 901, 666, 581, 1930, 8694, 2326, 585, 519, 13964, 899, 1544, 802, 543, 18052, 547, 1118, 21677, 6030, 267, 1318, 998, 547, 11369, 1115, 543, 1187, 23764, 585, 14407, 5179, 1216, 1404, 269, 634, 811, 1930, 25804, 8694, 519, 1732, 585, 2370, 3283, 547, 2263, 741, 9345, 543, 2168, 2115, 563, 288, 1906, 3803, 4555, 8170, 1576, 267, 593, 1283, 540, 782, 713, 267, 649, 4363, 4946, 4190, 2835, 267, 1404, 10863, 543, 6266, 540, 9205, 942, 256, 1403, 596, 616, 5461, 538, 2542, 811, 827, 519, 3069, 543, 1382, 1472, 1930, 25804, 1404, 267, 649, 3810, 4363, 519, 3733, 3689, 12866, 13012, 543, 476, 1911, 25569, 1677, 903, 7270, 269, 8414, 4730, 2336, 26466, 601, 766, 27752, 267, 4065, 543, 7591, 28154, 0, 291, 2350, 320, 6511, 7233, 11588, 281, 1133, 557, 4979, 519, 1160, 1597, 12700, 454, 19547, 9229, 17564, 593, 667, 2350, 320, 6511, 7233, 11588, 12700, 1160, 1597, 454, 291, 2350, 320, 6511, 2371, 616, 711, 1152, 11617, 13267, 855, 849, 2709, 513, 21318, 540, 2640, 269, 3245, 5355, 11255, 2011, 2298, 547, 4227, 2566, 2157, 267, 891, 2371, 723, 1044, 23963, 8810, 547, 3986, 938, 1134, 5630, 269, 769, 713, 3102, 3391, 267, 649, 786, 5490, 883, 519, 3875, 2640, 540, 1951, 8619, 6511, 2371, 267, 20483, 676, 6405, 2963, 269, 2913, 779, 2263, 519, 13300, 540, 713, 15999, 2030, 2336, 291, 2350, 320, 6511, 2371, 616, 1634, 607, 2067, 2011, 1625, 13294, 269, 3414, 741, 3762, 267, 789, 10110, 5739, 23197, 6464, 971, 607, 6101, 24957, 267, 22904, 2940, 267, 1535, 22005, 267, 543, 959, 747, 3271, 334, 26120, 267, 4122, 1336, 538, 7622, 2472, 267, 19267, 267, 543, 11647, 269, 3194, 2982, 602, 1951, 8619, 6511, 2371, 3927, 15972, 891, 11255, 14107, 267, 3976, 5355, 519, 2298, 540, 519, 2011, 649, 13236, 563, 19102, 848, 27488, 20946, 454, 7628, 519, 1184, 540, 15591, 267, 1951, 8619, 6511, 2371, 5305, 5135, 267, 1818, 873, 5140, 15274, 585, 938, 11255, 5624, 269, 634, 2333, 538, 5135, 2157, 666, 723, 513, 2318, 1764, 593, 938, 2949, 1072, 543, 1134, 5630, 269, 3502, 1152, 1281, 621, 1683, 721, 609, 4195, 2011, 267, 855, 621, 849, 2337, 5818, 7607, 267, 1445, 267, 543, 10332, 1145, 563, 26670, 766, 28239, 543, 21079, 13262, 454, 21296, 2090, 723, 3254, 602, 1373, 1472, 2371, 267, 1519, 1951, 8619, 6511, 267, 666, 21592, 7099, 543, 2569, 2566, 2157, 269, 634, 4527, 540, 2470, 16280, 814, 513, 22196, 1198, 593, 938, 4703, 543, 8186, 269, 634, 7524, 3039, 2681, 540, 1951, 8619, 6511, 3762, 666, 1711, 513, 2631, 540, 22471, 1006, 543, 11005, 267, 4543, 547, 3895, 513, 12560, 1604, 693, 1753, 610, 538, 519, 9036, 563, 22517, 739, 8605, 2032, 543, 24517, 1674, 454, 4415, 741, 2702, 547, 1625, 1518, 2011, 543, 2333, 5135, 2157, 267, 1951, 8619, 6511, 2371, 3565, 547, 15398, 7607, 543, 5834, 269, 3194, 5267, 602, 2348, 2371, 538, 11255, 5624, 666, 2087, 5042, 2773, 543, 3007, 12732, 269, 1773, 5217, 513, 1951, 8619, 6511, 2030, 593, 707, 11380, 610, 2282, 707, 960, 1858, 666, 948, 596, 3251, 5059, 543, 10069, 1242, 2429, 519, 1554, 563, 291, 2350, 320, 6511, 2371, 723, 519, 7415, 2702, 547, 5305, 7509, 883, 519, 2011, 998, 513, 1184, 1572, 1098, 17508, 269, 901, 2067, 18519, 4328, 1198, 666, 581, 3226, 6225, 1282, 3819, 12405, 610, 538, 4525, 609, 1970, 11195, 269, 1635, 2810, 519, 7509, 538, 519, 2011, 267, 1951, 8619, 6511, 2371, 948, 13468, 3819, 2960, 267, 15319, 31462, 1846, 267, 543, 7929, 2152, 563, 3519, 6984, 32438, 593, 667, 2350, 320, 6511, 7233, 11588, 12700, 1160, 1597, 454, 291, 2350, 320, 6511, 2371, 616, 811, 982, 1175, 4190, 23598, 585, 938, 5321, 543, 13646, 269, 4256, 23963, 8810, 2640, 8831, 3564, 15312, 267, 1818, 873, 606, 1898, 1840, 547, 938, 11255, 5624, 269, 3245, 1625, 4328, 519, 2011, 649, 13236, 547, 4227, 2566, 2157, 543, 7393, 7607, 267, 1951, 8619, 6511, 2371, 3142, 513, 5905, 540, 2470, 602, 9797, 5222, 938, 1072, 543, 1134, 5630, 563, 11902, 17988, 827, 667, 2350, 320, 6511, 7233, 11588, 12700, 1160, 1597, 454, 272, 269, 3657, 1951, 8619, 6511, 2371, 5078, 585, 10820, 609, 10130, 888, 8133, 267, 1951, 8619, 6511, 2371, 616, 3622, 2922, 585, 10820, 609, 10130, 269, 2755, 789, 2270, 7135, 602, 949, 581, 7646, 569, 6757, 952, 28041, 267, 519, 1377, 540, 17219, 568, 5266, 1970, 269, 1717, 267, 621, 568, 5227, 547, 1832, 873, 856, 540, 3914, 540, 8049, 10130, 610, 547, 3442, 4620, 7888, 8677, 267, 971, 607, 667, 2350, 320, 6511, 14345, 1092, 267, 799, 723, 7646, 518, 2360, 563, 273, 269, 1215, 1419, 1058, 594, 1216, 1250, 1951, 8619, 6511, 2030, 888, 291, 2350, 320, 6511, 2371, 4782, 9793, 14450, 269, 898, 568, 1655, 547, 1450, 519, 3037, 547, 13148, 3819, 856, 1063 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2304, 30688, 2238, 1299, 3756, 585, 1164, 1153, 12746, 625, 3992, 1544, 585, 10026, 1153, 2596, 1557, 2542, 269, 9521, 1034, 11049, 1299, 6169, 15105, 2533, 267, 649, 12575, 585, 3388, 281, 8239, 267, 10259, 267, 18685, 267, 2856, 2095, 267, 4845, 2497, 267, 1299, 811, 1205, 3323, 1631, 269, 634, 12746, 625, 3296, 519, 12746, 625, 3296, 729, 6569, 689, 519, 2893, 538, 476, 1220, 276, 538, 3870, 540, 513, 2854, 1557, 30971, 616, 1447, 4448, 547, 519, 1699, 1164, 1153, 269, 901, 3381, 11225, 12746, 625, 1018, 2306, 606, 21658, 1114, 689, 513, 14165, 875, 666, 12746, 625, 948, 7794, 606, 1557, 2638, 856, 938, 695, 15879, 4878, 4214, 522, 563, 301, 10494, 3992, 585, 3214, 281, 4214, 1299, 1806, 476, 274, 281, 1839, 12746, 625, 3992, 585, 3214, 281, 4214, 1299, 1806, 1644, 1353, 2326, 1164, 1153, 6030, 269, 6732, 10782, 1164, 1153, 1557, 12746, 625, 5399, 540, 15698, 519, 4487, 1767, 267, 547, 917, 950, 596, 917, 267, 543, 950, 596, 798, 711, 917, 602, 568, 7326, 519, 3007, 3032, 7815, 610, 1291, 1058, 581, 519, 1101, 4845, 538, 519, 10388, 1557, 269, 634, 1739, 8385, 7902, 607, 23602, 540, 513, 10782, 12746, 625, 2479, 2854, 538, 513, 1164, 1153, 1557, 16311, 538, 519, 11067, 2023, 2022, 2511, 1045, 527, 1049, 563, 295, 2345, 1041, 1603, 6030, 585, 10026, 267, 1647, 267, 543, 1164, 1153, 1053, 1628, 1983, 538, 1603, 11707, 267, 5220, 267, 9433, 267, 3594, 267, 543, 811, 269, 8342, 5500, 5961, 827, 2731, 3983, 12746, 625, 2854, 676, 1164, 1153, 1053, 19315, 267, 543, 3579, 533, 923, 827, 2731, 3983, 12746, 625, 2854, 676, 1164, 1153, 1053, 849, 267, 2731, 3983, 12746, 625, 2854, 676, 1164, 1153, 1053, 269, 1323, 11530, 625, 3211, 519, 2630, 12326, 2270, 10677, 539, 960, 547, 581, 1031, 676, 3610, 538, 1153, 2262, 6292, 12746, 625, 476, 280, 2262, 6292, 12746, 625, 476, 1015, 1164, 563, 763, 1739, 8385, 7902, 607, 23602, 540, 513, 10782, 12746, 625, 2479, 2854, 538, 513, 1164, 1153, 1557, 16311, 538, 519, 543, 4334, 1557, 585, 1164, 1153, 269, 1452, 616, 519, 23602, 540, 519, 10782, 12746, 625, 2479, 2854, 538, 513, 1164, 1153, 1557, 16311, 1200, 4552, 1350, 626, 2989, 538, 519, 4764, 899, 9224, 4552, 1310, 513, 14229, 324, 2763, 269, 5589, 9364, 3842, 4757, 320, 7008, 2053, 2442, 543, 16168, 1592, 540, 12746, 625, 1031, 538, 1164, 1153, 3594, 1775, 1589, 930, 540, 873, 616, 7168, 6427, 633, 269, 4841, 1107, 4283, 547, 3094, 606, 1269, 8517, 14172, 2328, 513, 476, 4335, 2262, 1557, 593, 707, 1655, 1449, 7041, 1505, 267, 610, 267, 707, 1655, 1353, 5578, 3498, 269, 12736, 2996, 540, 519, 968, 342, 528, 560, 12746, 625, 2479, 2854, 538, 513, 1164, 1153, 1557, 892, 16311, 563, 310, 528, 560, 12746, 625, 689, 1164, 1153, 3594, 646, 12038, 609, 519, 7326, 602, 666, 1152, 2097, 689, 1995, 267, 899, 513, 18560, 945, 4682, 9420, 1317, 646, 6743, 693, 513, 3859, 24256, 269, 634, 10782, 12746, 625, 538, 1164, 1153, 3594, 519, 10782, 12746, 625, 538, 1164, 1153, 3594, 818, 1091, 4359, 2362, 7005, 2565, 1557, 1806, 521, 9346, 2228, 1870, 1544, 5998, 691, 5993, 1867, 31065, 269, 589, 1592, 27581, 1459, 9644, 3585, 3983, 12746, 625, 543, 23199, 3144, 689, 1164, 1153, 3594, 4849, 789, 2811, 2731, 1806, 540, 269, 4400, 1153, 1893, 6575, 1053, 1224, 543, 5659, 513, 10388, 4633, 543, 2328, 513, 10388, 1557, 513, 6863, 3992, 6212, 593, 12746, 625, 543, 2262, 563, 11947, 1153, 7005, 3992, 4566, 1299, 2238, 1265, 1863, 1164, 1153, 7005, 1893, 6575, 3992, 4566, 267, 4116, 2200, 543, 6437, 538, 8239, 11783, 23016, 547, 543, 4319, 6177, 267, 9849, 1250, 32482, 2033, 512, 261, 325, 4418, 1846, 327, 7398, 267, 6704, 6995, 1299, 2324, 593, 606, 1557, 827, 519, 530, 341, 585, 23128, 787, 24737, 2072, 2395, 1129, 324, 632, 737, 1716, 580, 1011, 1709, 1557, 269, 1358, 5030, 538, 513, 6093, 28180, 8378, 609, 4584, 564, 31966, 602, 11696, 1194, 562, 3599, 23128, 3419, 534, 781, 4522, 646, 12038, 609, 519, 7326, 602, 666, 1152, 2097, 689, 1995, 267, 899, 513, 18560, 945, 4682, 9420, 1317, 646, 6743, 693, 513, 3859, 24256, 1510, 835, 540, 1346, 10833, 609, 513, 8930, 23346, 538, 621, 543, 1631, 4422, 1472, 519, 2197, 6340, 693, 1164, 3506, 827, 519, 563, 4415, 713, 2985, 10782, 12746, 625, 2854, 538, 513, 1164, 1153, 1557, 1835, 2946, 15530, 1612, 561, 10782, 12746, 625, 2854, 538, 513, 1164, 1153, 1557, 1557, 602, 844, 7627, 269, 4400, 1153, 23199, 543, 12746, 625, 596, 917, 267, 1256, 952, 621, 3884, 1406, 1483, 1164, 1153, 1557, 608, 518, 14186, 267, 621, 779, 1869, 865, 16168, 602, 621, 3085, 1406, 2339, 269, 10374, 1557, 593, 2956, 540, 1153, 2069, 519, 2956, 540, 1153, 2069, 6013, 538, 519, 1249, 602, 519, 2221, 538, 2101, 2665, 713, 4523, 1317, 540, 1164, 563, 11947, 1153, 1557, 1603, 585, 519, 2893, 18791, 1557, 1603, 1983, 693, 519, 1164, 1153, 543, 2852, 3341, 1377, 269, 476, 1839, 1187, 333, 5006, 11320, 528, 560, 12746, 625, 2479, 2854, 538, 1164, 1153, 3594, 1082, 10782, 12746, 625, 1031, 538, 513, 1164, 1153, 1557, 5767, 9708, 1557, 540, 1158, 7484, 25319, 269, 590, 1846, 2744, 606, 1557, 267, 6336, 519, 12746, 625, 1315, 579, 322, 3081, 621, 781, 13854, 609, 7004, 540, 1449, 630, 18485, 32650, 15326, 1164, 264, 782, 616, 11504, 1714, 524, 518, 761, 334, 1164, 1153, 840, 1606, 520, 269, 1937, 560, 12746, 625, 2479, 2854, 538, 513, 1164, 1153, 1557, 646, 12038, 609, 519, 7326, 602, 666, 1152, 2097, 689, 1995, 267, 899, 513, 18560, 945, 4682, 9420, 1317, 646, 6743, 693, 513, 3859, 24256, 1510, 835, 540, 1346, 10833, 609, 513, 8930, 23346, 538, 621, 543, 1631, 4422, 1472, 519, 2197, 6340, 693, 1164, 3506, 827, 519, 12178, 540, 3168, 693, 513, 3859, 24256, 1510, 835, 269, 0, 2304, 7650, 540, 519, 14646, 27315, 7719, 1630, 16251, 9101, 8905, 454, 11990, 27315, 7719, 1630, 1054, 1107, 513, 5758, 14646, 27315, 7719, 1630, 1054, 729, 1419, 4330, 607, 3946, 727, 543, 519, 9101, 8905, 3144, 676, 5869, 671, 543, 1630, 1054, 1185, 1044, 6074, 5402, 269, 18307, 4370, 585, 323, 779, 14364, 593, 519, 3781, 540, 32414, 476, 1691, 267, 476, 5908, 276, 267, 14646, 27315, 7719, 1630, 1054, 14612, 998, 29827, 1633, 883, 20424, 807, 267, 1141, 267, 513, 1906, 2395, 2663, 267, 646, 729, 1336, 267, 8929, 267, 543, 5747, 540, 1010, 16398, 3540, 2112, 14787, 1196, 7703, 1087, 1427, 571, 806, 1630, 1054, 779, 9101, 8905, 543, 8761, 519, 14789, 543, 8395, 1132, 563, 10287, 519, 9101, 8905, 540, 14646, 27315, 7719, 1630, 1054, 267, 835, 540, 1686, 779, 1034, 29200, 18272, 1231, 267, 607, 646, 19679, 689, 11067, 2023, 267, 546, 322, 267, 543, 554, 573, 585, 1896, 2395, 538, 7013, 29827, 1633, 1354, 1373, 8970, 1229, 269, 2494, 327, 2863, 281, 16439, 519, 9101, 8905, 540, 14646, 27315, 7719, 1630, 1054, 2221, 596, 666, 1294, 3592, 1169, 5544, 593, 1630, 1054, 779, 9101, 8905, 689, 585, 323, 779, 14364, 547, 519, 3135, 540, 1010, 11318, 607, 1630, 1054, 4718, 873, 269, 3627, 27315, 7719, 1630, 1054, 9101, 8905, 19150, 538, 804, 15586, 267, 544, 323, 1246, 519, 13009, 540, 7022, 13274, 11181, 779, 18272, 514, 689, 585, 323, 779, 16222, 538, 11067, 2023, 267, 546, 322, 269, 570, 646, 1147, 337, 3430, 2486, 13384, 832, 19150, 1142, 5614, 543, 2887, 2059, 1630, 1054, 779, 9101, 8905, 1082, 540, 519, 1482, 9897, 543, 8075, 1031, 676, 1630, 1054, 616, 1869, 538, 6228, 543, 649, 3643, 873, 593, 713, 32751, 542, 267, 799, 568, 1936, 730, 676, 25422, 29627, 1758, 1242, 8128, 593, 519, 13274, 11181, 26923, 543, 14646, 27315, 7719, 1630, 1054, 779, 8184, 563, 763, 1071, 15926, 2869, 2209, 14646, 27315, 7719, 1630, 1054, 513, 4759, 540, 513, 4583, 9117, 1920, 5869, 671, 3366, 1630, 1054, 593, 519, 9101, 8905, 883, 20424, 807, 269, 5080, 337, 3430, 2777, 9754, 281, 1630, 1054, 9101, 8905, 4663, 519, 14646, 27315, 7719, 1630, 1054, 9101, 8905, 4663, 568, 13950, 676, 519, 1147, 337, 3430, 2777, 9754, 538, 804, 15586, 267, 544, 323, 269, 7348, 713, 4786, 547, 1246, 519, 9101, 8905, 540, 14646, 27315, 7719, 1630, 1054, 269, 634, 1739, 568, 513, 16606, 540, 513, 2010, 5296, 5423, 676, 543, 4319, 1494, 614, 827, 14646, 27315, 7719, 1630, 1054, 781, 9101, 8905, 267, 1010, 6668, 519, 8905, 540, 14646, 27315, 7719, 1630, 1054, 563, 11990, 27315, 7719, 1630, 1054, 9101, 8905, 4786, 630, 20931, 7851, 264, 1496, 330, 1512, 534, 26818, 4954, 858, 324, 316, 593, 32312, 1260, 1863, 11288, 593, 27216, 3091, 1246, 519, 8905, 3144, 676, 519, 18272, 514, 540, 7022, 705, 12646, 13274, 11181, 607, 646, 19679, 689, 585, 323, 781, 16222, 593, 32414, 476, 1691, 267, 476, 5908, 276, 269, 901, 2985, 2882, 513, 6609, 540, 14646, 27315, 7719, 1630, 1054, 781, 1272, 540, 14646, 27315, 7719, 1630, 1054, 12995, 676, 14646, 8242, 1010, 14646, 27315, 7719, 1630, 1054, 9101, 8905, 269, 22735, 2443, 26675, 814, 11303, 519, 26923, 540, 7022, 705, 12646, 13274, 11181, 2479, 2094, 602, 3781, 538, 476, 5908, 276, 950, 646, 729, 8929, 676, 14646, 27315, 7719, 1630, 1054, 269, 4425, 16251, 9101, 8905, 2278, 2328, 1945, 827, 3054, 1100, 991, 547, 581, 16681, 267, 1175, 606, 7650, 563, 763, 4729, 25856, 1472, 1665, 267, 513, 7911, 945, 7938, 9231, 569, 2337, 14646, 27315, 7719, 1630, 1054, 9101, 689, 585, 323, 779, 14364, 1310, 646, 18272, 7149, 7022, 13274, 11181, 585, 476, 1321, 3078, 2395, 646, 12599, 609, 1630, 1054, 2059, 1010, 9101, 8905, 621, 568, 6273, 676, 513, 7911, 945, 4371, 519, 556, 1231, 540, 1630, 1054, 779, 7504, 517, 32414, 476, 1691, 267, 476, 5908, 276, 519, 17192, 269, 17451, 2094, 519, 7372, 476, 1321, 6377, 812, 327, 2863, 476, 5611, 1296, 3516, 267, 1004, 723, 1044, 1427, 571, 1424, 14646, 27315, 7719, 1630, 1054, 781, 9101, 8905, 1631, 972, 616, 1668, 19150, 4534, 855, 789, 6133, 856, 3533, 563, 22517, 1054, 779, 9101, 8905, 855, 835, 812, 267, 519, 4583, 3942, 17076, 14646, 27315, 7719, 1630, 1054, 1623, 24007, 30425, 281, 606, 7650, 540, 7432, 2798, 563, 268, 3627, 27315, 7719, 1630, 1054, 9101, 8905, 4663, 3391, 546, 1511, 512, 11336, 2982, 513, 1686, 10889, 519, 20424, 807, 13272, 540, 519, 1494, 558, 659, 5757, 1141, 1630, 1054, 18084, 538, 32414, 476, 5908, 276, 1247, 12394, 547, 25176, 1739, 519, 26923, 540, 7022, 705, 12646, 13274, 11181, 563, 268, 2201, 795, 2317, 476, 1839, 628, 267, 476, 1001, 274, 267, 1775, 15336, 519, 3845, 1063, 519, 12566, 5394, 564, 1141, 28114, 513, 795, 2158, 554, 573, 14646, 27315, 7719, 1630, 1054, 543, 30602, 5869, 671, 267, 547, 554, 22976, 9440, 267, 795, 821, 781, 1753, 563, 7476, 339, 903, 7921, 13931, 25071, 3391, 1630, 1054, 779, 851, 532, 1913, 547, 14646, 26270, 20477, 267, 543, 6799, 606, 7650, 540, 519, 519, 9101, 8905, 540, 14646, 27315, 7719, 1630, 1054, 269, 15775, 972, 281, 519, 1630, 1054, 9101, 8905, 5956, 693, 519, 3135, 540, 7022, 705, 12646, 13274, 11181, 779, 26923, 2443, 585, 323, 779, 16222, 693, 476, 276, 1556, 476, 1015, 628, 588, 562, 342, 267, 538, 25708, 269, 634, 476, 5611, 628, 16683, 540, 7022, 13274, 11181, 781, 26923, 2063, 1032, 3357, 609, 1082, 16033, 725, 835, 1259, 547, 723, 707, 1378, 862, 655, 2610, 1765, 604, 596, 2661, 1472, 11067, 2023, 267, 546, 322, 267, 693, 2547, 28934, 547, 1246, 18272, 514, 14646, 27315, 7719, 1630, 1054, 781, 9101, 8905, 269, 7476, 3758, 0, 3719, 519, 635, 534, 2583, 267, 606, 1226, 652, 6929, 23617, 1004, 945, 32170, 519, 10889, 14900, 267, 941, 3735, 1260, 619, 547, 519, 1098, 24406, 6523, 1004, 1185, 7745, 2476, 689, 519, 695, 9655, 2158, 267, 1287, 538, 519, 3844, 23617, 538, 1459, 6377, 530, 344, 4040, 267, 547, 2212, 5045, 267, 1236, 597, 1154, 519, 9456, 6316, 540, 519, 22586, 10239, 267, 538, 3406, 540, 3014, 543, 9640, 269, 5741, 281, 635, 534, 3832, 14316, 476, 272, 10950, 547, 519, 635, 534, 3832, 14316, 1016, 2889, 915, 476, 273, 4367, 476, 274, 10959, 476, 275, 6688, 476, 6078, 12632, 476, 5655, 7851, 476, 6246, 1893, 1413, 693, 835, 540, 519, 635, 534, 3832, 14316, 1788, 781, 1383, 12632, 547, 1294, 1018, 649, 4126, 585, 538, 12632, 602, 616, 851, 540, 938 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 769, 713, 1576, 1770, 267, 649, 786, 5490, 883, 519, 1950, 6249, 540, 16236, 543, 2530, 607, 13269, 538, 11174, 5708, 609, 513, 1445, 593, 4168, 1514, 2152, 269, 1284, 786, 5659, 875, 4589, 946, 9423, 547, 948, 1762, 3988, 1174, 543, 11883, 609, 891, 2352, 4664, 998, 519, 7828, 540, 741, 5132, 269, 3414, 6313, 1585, 5931, 267, 3695, 7811, 10850, 267, 543, 2502, 538, 2565, 5717, 267, 596, 786, 2744, 513, 4514, 7071, 585, 519, 1379, 540, 3332, 538, 5466, 4101, 3584, 543, 5807, 5289, 2208, 780, 296, 269, 4985, 547, 717, 4361, 543, 13809, 538, 19565, 11470, 454, 288, 269, 11137, 540, 519, 2956, 540, 5466, 16236, 543, 2530, 538, 3332, 585, 1453, 454, 289, 269, 634, 1909, 540, 3909, 4978, 538, 12003, 609, 16236, 543, 2530, 454, 290, 269, 22410, 540, 519, 2189, 2591, 5185, 676, 4589, 950, 1603, 827, 16236, 543, 2530, 585, 513, 7820, 5304, 692, 2862, 269, 4197, 717, 4361, 543, 13809, 454, 288, 269, 26479, 540, 16236, 543, 2530, 454, 289, 269, 853, 1137, 540, 16236, 2687, 547, 918, 6686, 321, 2401, 7304, 1601, 262, 2203, 630, 6577, 658, 267, 10845, 267, 29541, 267, 4965, 267, 10343, 994, 290, 269, 1215, 16236, 28107, 8335, 538, 1453, 3379, 547, 4079, 454, 291, 269, 16709, 540, 1114, 2010, 540, 9271, 630, 324, 3052, 1421, 2669, 540, 513, 6068, 835, 267, 16028, 267, 882, 6327, 267, 3092, 8094, 292, 269, 17583, 1063, 16236, 543, 2790, 1072, 538, 10708, 454, 293, 269, 7351, 1382, 543, 7194, 593, 6689, 16236, 543, 2530, 692, 7656, 269, 11724, 725, 540, 717, 4361, 543, 13809, 538, 15019, 9177, 454, 288, 269, 5811, 540, 9413, 267, 7641, 2982, 267, 543, 2835, 10023, 4798, 540, 16236, 543, 2530, 454, 289, 269, 8865, 1353, 281, 17564, 540, 6424, 8644, 534, 781, 4670, 834, 300, 677, 531, 16497, 2437, 799, 7710, 9019, 543, 581, 516, 29713, 454, 290, 269, 18948, 540, 16712, 8957, 3909, 28402, 540, 16236, 543, 2530, 538, 2923, 692, 4353, 269, 8567, 543, 10515, 532, 609, 717, 4361, 543, 13809, 454, 288, 269, 19978, 5380, 593, 7092, 267, 2669, 267, 543, 31366, 454, 289, 269, 10020, 540, 11755, 267, 10847, 267, 543, 2146, 1489, 538, 7231, 609, 16236, 543, 2530, 454, 290, 269, 6201, 540, 10271, 945, 4810, 1713, 2123, 9271, 543, 1336, 24176, 538, 741, 5132, 630, 324, 3052, 1421, 4856, 4471, 4557, 4425, 558, 267, 13744, 328, 661, 732, 4242, 517, 570, 3385, 267, 3092, 8094, 291, 269, 18964, 6568, 543, 8296, 2509, 1346, 7680, 16236, 543, 2530, 1369, 519, 4168, 2796, 692, 309, 269, 22718, 31157, 3171, 520, 1005, 717, 4361, 543, 13809, 454, 288, 269, 19171, 2542, 540, 5697, 15102, 689, 11174, 5708, 1568, 5059, 593, 16236, 543, 2530, 454, 289, 269, 13335, 540, 5339, 2079, 2553, 971, 607, 18572, 267, 13513, 267, 543, 14953, 8446, 454, 290, 269, 27148, 540, 2278, 658, 8247, 543, 3077, 9458, 454, 291, 269, 16214, 540, 519, 7145, 540, 2984, 538, 23187, 6835, 827, 16236, 543, 2530, 692, 9654, 269, 5675, 6168, 717, 4361, 543, 13809, 538, 19565, 11470, 454, 288, 269, 14958, 532, 8076, 3197, 543, 6386, 602, 13469, 609, 1762, 3988, 454, 289, 269, 21344, 8417, 543, 19969, 1247, 7234, 2352, 5396, 454, 290, 269, 11150, 585, 6220, 2609, 540, 5132, 1510, 1373, 1705, 12519, 454, 291, 269, 19078, 9270, 4478, 6041, 540, 16236, 543, 2530, 538, 3332, 585, 1453, 692, 23997, 269, 10390, 281, 634, 5295, 540, 27884, 538, 18601, 717, 4361, 543, 13809, 454, 288, 269, 14506, 593, 519, 4644, 540, 16236, 543, 2530, 538, 5935, 2043, 543, 2950, 454, 289, 269, 2561, 21090, 585, 519, 1761, 540, 3332, 547, 7520, 7067, 543, 6536, 6043, 454, 290, 269, 11559, 618, 585, 14971, 4589, 547, 4497, 609, 6213, 3584, 543, 1711, 6209, 960, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 23742, 7825, 6033, 6424, 8644, 534, 568, 606, 4830, 4670, 20447, 543, 513, 4670, 7548, 693, 595, 308, 28631, 779, 5441, 540, 8551, 1299, 9012, 269, 1261, 568, 519, 17348, 17367, 585, 519, 1546, 696, 540, 17912, 1299, 7641, 269, 1261, 6585, 606, 631, 11902, 689, 27201, 5441, 269, 1261, 779, 1044, 513, 27975, 1962, 697, 16159, 543, 513, 30508, 4670, 20447, 540, 2110, 27322, 8874, 269, 3571, 17245, 267, 18200, 531, 16497, 267, 4465, 606, 2506, 3240, 538, 476, 1001, 271, 543, 936, 519, 1296, 267, 1010, 8874, 723, 29971, 693, 3875, 4670, 15976, 543, 8613, 19093, 563, 5575, 540, 782, 267, 5458, 7064, 585, 8757, 856, 547, 803, 543, 18136, 803, 547, 12744, 707, 4670, 589, 674, 1968, 2622, 269, 594, 11613, 10150, 519, 1650, 543, 594, 3580, 2671, 811, 540, 1250, 4555, 593, 602, 2429, 938, 6643, 563, 763, 30310, 19877, 338, 5741, 676, 31584, 4934, 18721, 568, 851, 540, 606, 5571, 3126, 540, 11042, 267, 609, 5159, 267, 5830, 267, 32349, 267, 1870, 1004, 543, 1866, 267, 1141, 649, 4983, 519, 5817, 8404, 543, 6667, 540, 3860, 1004, 563, 4322, 2055, 616, 5497, 547, 2263, 707, 4690, 267, 2833, 543, 4282, 267, 543, 3605, 875, 1004, 267, 4025, 543, 2621, 538, 707, 1272, 267, 11110, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 294, 4361, 1299, 13809, 257, 607, 851, 540, 834, 16300, 16337, 1315, 16241, 1315, 4168, 1315, 4317, 12983, 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, 769, 713, 3184, 267, 649, 5490, 883, 519, 10167, 540, 1148, 267, 4480, 267, 543, 6848, 1764, 676, 3695, 7196, 7146, 3613, 8681, 4070, 1369, 1666, 330, 4479, 269, 1284, 786, 4161, 6671, 24300, 540, 7499, 4082, 543, 922, 4390, 547, 1266, 2658, 1514, 7004, 998, 606, 6514, 540, 5484, 16026, 262, 16472, 540, 519, 834, 332, 20687, 538, 513, 11480, 257, 3069, 269, 1635, 7421, 519, 6946, 1184, 540, 2870, 30504, 1210, 7196, 7146, 3613, 8681, 2553, 267, 649, 7866, 519, 1761, 585, 5159, 547, 16637, 21603, 17267, 2509, 4657, 519, 1158, 543, 3079, 4497, 538, 7184, 6209, 2853, 609, 15889, 4539, 780, 1805, 820, 7146, 3613, 8681, 4070, 4564, 513, 10427, 1935, 547, 11127, 933, 3058, 267, 6353, 676, 519, 954, 331, 864, 618, 540, 14461, 30367, 543, 8465, 22204, 269, 1677, 2253, 267, 1577, 721, 4983, 519, 2326, 6964, 538, 7196, 7146, 3613, 8681, 4070, 269, 27603, 267, 2067, 11103, 899, 786, 578, 267, 678, 3430, 534, 267, 610, 556, 2644, 4196, 607, 22204, 267, 1247, 11308, 22203, 1599, 607, 30367, 269, 1452, 6151, 2326, 4163, 2686, 4644, 267, 18220, 532, 12583, 540, 2244, 946, 267, 4199, 2359, 267, 543, 2757, 1702, 6771, 269, 1306, 971, 267, 8939, 3617, 2326, 3322, 2502, 609, 2825, 7881, 543, 6940, 4145, 1107, 4798, 3810, 4143, 538, 2221, 781, 11407, 4478, 2916, 6433, 543, 28160, 1436, 780, 763, 3355, 3942, 540, 7196, 7146, 3613, 8681, 4070, 14122, 25786, 519, 30367, 538, 513, 9764, 4806, 267, 8108, 513, 3490, 2390, 799, 7766, 6106, 616, 3710, 269, 3962, 3773, 4494, 25040, 519, 2497, 781, 6617, 543, 8699, 267, 10452, 519, 2956, 540, 13654, 3741, 538, 14335, 14388, 2950, 269, 23155, 3157, 2049, 1369, 7499, 2445, 1161, 543, 13998, 7722, 3785, 282, 9591, 2178, 7554, 1851, 5171, 11942, 3972, 267, 7175, 5698, 543, 5647, 780, 11328, 13512, 1456, 22204, 1472, 519, 7299, 30367, 3029, 519, 3119, 3308, 8984, 540, 7196, 7146, 3613, 8681, 25481, 269, 9457, 344, 540, 1585, 649, 2314, 791, 11301, 2189, 3270, 543, 18282, 267, 13031, 519, 7376, 781, 5578, 543, 9837, 1275, 269, 6684, 267, 2500, 2792, 1063, 23712, 5159, 19329, 2312, 13994, 1637, 540, 2093, 543, 15752, 267, 4611, 538, 811, 18900, 4093, 780, 19741, 2930, 15334, 267, 7196, 7146, 3613, 8681, 4070, 3340, 9639, 267, 18094, 267, 543, 11428, 269, 645, 2532, 1115, 949, 1491, 1896, 2395, 610, 1256, 4374, 547, 2347, 267, 4470, 593, 6988, 543, 2450, 269, 10801, 713, 6905, 1974, 267, 5159, 2226, 1445, 543, 7029, 267, 17975, 741, 13144, 27261, 958, 269, 6270, 32344, 1145, 30172, 4207, 7125, 585, 13455, 6278, 538, 1514, 5126, 3646, 2864, 982, 7904, 7566, 19647, 9141, 676, 7678, 1465, 610, 3134, 31906, 531, 15131, 780, 9209, 2065, 7215, 14139, 7196, 7146, 3613, 8681, 4070, 3180, 4052, 10626, 3564, 12716, 9029, 269, 1280, 3236, 267, 7087, 2950, 8415, 18955, 11149, 585, 1426, 4859, 267, 6283, 267, 543, 16008, 269, 20876, 519, 10342, 540, 1148, 2591, 26608, 18727, 18765, 540, 1148, 607, 6071, 23732, 543, 19156, 922, 7915, 1871, 607, 2645, 585, 6668, 543, 11812, 780, 28274, 16026, 262, 16472, 267, 649, 14719, 622, 875, 7196, 7146, 3613, 8681, 9112, 30504, 20546, 519, 7687, 540, 519, 834, 332, 20687, 538, 513, 11480, 257, 3069, 269, 5502, 540, 1780, 1947, 16213, 6835, 740, 337, 3424, 267, 15691, 789, 3914, 25091, 24528, 267, 5159, 8362, 7119, 538, 14335, 11215, 5121, 543, 5466, 10296, 2152, 269, 3414, 17117, 540, 1950, 2553, 543, 26772, 11428, 267, 891, 15888, 6542, 513, 7096, 4276, 1063, 23477, 543, 6848, 9295, 780, 1103, 3932, 267, 6313, 7196, 7146, 3613, 8681, 4070, 3091, 3407, 4030, 3823, 519, 2078, 1063, 7499, 2259, 543, 1914, 19205, 8116, 269, 1635, 8508, 519, 14960, 540, 713, 942, 3620, 517, 1819, 2245, 267, 2413, 1148, 9439, 666, 11349, 4514, 4656, 540, 1570, 8129, 267, 6536, 2146, 2679, 267, 24917, 2930, 1983, 267, 543, 6038, 3565, 547, 13710, 1689, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 324, 963, 1616, 547, 723, 621, 1312, 2081, 269, 1358, 1616, 547, 2161, 968, 1607, 568, 1250, 1106, 540, 6304, 538, 519, 1158, 269, 901, 568, 875, 594, 6557, 2469, 547, 1689, 519, 1158, 2443, 855, 1810, 1406, 2307, 803, 875, 1317, 594, 6557, 606, 7376, 1848, 898, 814, 782, 540, 891, 2370, 15626, 2360, 267, 789, 1289, 519, 968, 332, 20687, 538, 519, 11480, 892, 3069, 267, 799, 568, 519, 632, 1249, 334, 3069, 602, 1034, 1004, 723, 950, 596, 2119, 547, 4137, 856, 1018, 5547, 13462, 1018, 596, 2461, 3257, 547, 875, 596, 1689, 519, 1158, 269, 4208, 711, 2322, 513, 5048, 538, 513, 11480, 543, 5555, 621, 779, 2469, 547, 11547, 909, 593, 519, 13272, 543, 2576, 786, 1265, 1250, 5048, 286, 594, 1589, 649, 666, 798, 1732, 267, 10416, 563, 13051, 16026, 568, 513, 1715, 3840, 2861, 9097, 1148, 10404, 269, 1261, 568, 519, 2278, 540, 476, 280, 269, 276, 634, 4513, 593, 3203, 543, 4147, 630, 1001, 274, 264, 543, 519, 1699, 2817, 3203, 7600, 545, 693, 1148, 6339, 5240, 269, 2060, 513, 2027, 1719, 538, 2797, 1148, 267, 16026, 6212, 593, 1148, 779, 1909, 538, 2797, 543, 1514, 5322, 267, 519, 4560, 540, 1148, 779, 1764, 267, 543, 875, 1148, 15628, 1589, 827, 543, 14892, 741, 960, 269, 3571, 960, 814, 1044, 12286, 538, 28503, 971, 607, 1520, 321, 31255, 267, 634, 27201, 12565, 267, 18222, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 26353, 1315, 9828, 1315, 645, 2532, 4479, 1315, 853, 820, 7146, 21178, 8681, 14716, 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, 6092, 5149, 281, 25065, 2264, 543, 4591, 869, 732, 910, 1744, 1456, 6201, 540, 4165, 1664, 19045, 1740, 692, 15916, 256, 8080, 547, 713, 3078, 3460, 998, 942, 607, 649, 2263, 519, 4190, 1158, 540, 1884, 2294, 543, 2445, 17156, 1500, 540, 8988, 267, 4154, 267, 543, 824, 8407, 269, 4653, 267, 649, 786, 1445, 593, 1079, 2010, 540, 4496, 4103, 602, 941, 1360 ]

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

[ 2318, 2773, 6286, 269, 1215, 649, 1118, 519, 1034, 540, 621, 543, 10244, 1346, 2640, 568, 519, 8945, 269, 2290, 6216, 538, 1880, 568, 3257, 1175, 602, 267, 543, 649, 3513, 581, 4687, 811, 593, 621, 4166, 256, 0, 763, 8244, 540, 2973, 1216, 568, 2808, 513, 2596, 1480, 1318, 267, 2943, 538, 1082, 4025, 267, 1519, 519, 6243, 540, 519, 21244, 11866, 630, 305, 11085, 1070, 1569, 547, 2973, 1216, 3788, 513, 1713, 4161, 269, 2859, 982, 835, 5479, 1004, 538, 3384, 4525, 1869, 3668, 1569, 547, 2922, 1216, 2959, 267, 3056, 547, 4049, 1072, 2152, 269, 5272, 1032, 267, 476, 273, 268, 274, 2929, 1453, 896, 519, 2085, 540, 2947, 5884, 1813, 547, 11591, 515, 531, 3676, 267, 1419, 26438, 689, 13572, 1216, 2959, 267, 609, 5176, 476, 3445, 2600, 540, 891, 28896, 9648, 1851, 1762, 1453, 269, 1744, 1442, 5944, 267, 606, 6059, 476, 275, 267, 4335, 547, 476, 277, 267, 1822, 1453, 829, 880, 3232, 1813, 547, 1216, 5829, 3676, 269, 634, 2622, 2657, 9257, 5359, 602, 5111, 3368, 540, 519, 3384, 1158, 779, 2551, 568, 4299, 676, 3670, 2101, 3676, 1644, 547, 16283, 1216, 3761, 543, 19455, 281, 11591, 21539, 320, 267, 607, 8364, 529, 267, 1951, 322, 684, 1529, 15633, 267, 13622, 11988, 267, 11634, 626, 657, 558, 15633, 267, 543, 911, 577, 5448, 269, 27819, 3368, 540, 519, 1004, 538, 519, 21244, 11866, 616, 693, 1981, 540, 10438, 13572, 1216, 267, 7133, 1472, 476, 736, 267, 1822, 2043, 269, 2755, 930, 723, 1569, 547, 4824, 1216, 2959, 267, 1152, 476, 6812, 269, 279, 260, 540, 10820, 2308, 1697, 1216, 2126, 2409, 267, 6028, 519, 6967, 476, 6078, 269, 273, 260, 7925, 547, 1216, 13871, 3676, 563, 763, 21244, 11866, 3068, 513, 2565, 17732, 540, 4195, 1216, 267, 609, 513, 5354, 540, 10820, 630, 12671, 476, 8064, 8472, 13461, 593, 24467, 6952, 906, 585, 6704, 1216, 269, 901, 1797, 602, 10199, 476, 3199, 260, 540, 519, 2698, 2551, 267, 610, 5111, 476, 5655, 267, 5952, 275, 2043, 267, 8185, 4096, 593, 6394, 24467, 585, 741, 1216, 2115, 269, 19759, 569, 267, 6532, 1216, 2959, 7985, 689, 9190, 5533, 267, 607, 23576, 676, 5439, 689, 20727, 1755, 779, 1216, 2754, 10398, 532, 1062, 6029, 12526, 676, 2698, 897, 6134, 543, 661, 269, 19546, 267, 1312, 4611, 689, 1480, 543, 3662, 3653, 267, 3056, 547, 10108, 269, 8330, 517, 5109, 569, 267, 7622, 1216, 2959, 8858, 2147, 2157, 540, 12526, 607, 4683, 2127, 267, 7700, 547, 519, 2810, 9860, 540, 1216, 13871, 3676, 269, 30887, 10938, 4345, 16034, 607, 519, 3791, 1034, 1455, 2014, 540, 30674, 1851, 1453, 896, 476, 276, 1296, 2025, 538, 519, 21244, 11866, 267, 609, 835, 538, 1614, 21244, 3150, 1453, 7680, 25224, 539, 2208, 269, 4144, 1551, 21539, 320, 543, 15499, 15495, 1404, 513, 1713, 1909, 538, 6689, 22926, 676, 4227, 1426, 6981, 267, 10556, 532, 8770, 10338, 267, 4929, 1463, 8770, 2530, 267, 543, 4617, 2287, 519, 4761, 1062, 269, 8693, 1689, 12615, 919, 891, 2591, 267, 609, 519, 21244, 11866, 7680, 811, 7928, 15195, 16839, 267, 1519, 4049, 26221, 538, 476, 1001, 274, 543, 476, 1001, 277, 267, 1141, 930, 2043, 15068, 593, 1447, 982, 513, 2148, 540, 1216, 829, 1268, 829, 1554, 563, 763, 6662, 540, 713, 1788, 568, 547, 2697, 4264, 543, 13998, 14323, 3435, 547, 2232, 519, 2042, 2404, 609, 13572, 1216, 269, 15316, 22729, 2409, 971, 607, 8392, 1588, 267, 1253, 20746, 267, 14495, 267, 11159, 566, 267, 543, 1164, 24289, 12086, 723, 1044, 6964, 267, 855, 789, 7237, 9465, 899, 1164, 3790, 267, 5826, 4170, 267, 16126, 593, 8093, 10173, 267, 543, 1279, 7996, 5712, 269, 3776, 6069, 3070, 3322, 26084, 606, 10097, 543, 2500, 1216, 6882, 267, 519, 27517, 9807, 2290, 8672, 3590, 267, 799, 13333, 1510, 5201, 543, 568, 1312, 4264, 543, 13476, 7874, 563, 4942, 848, 594, 540, 519, 1788, 9797, 12936, 5176, 476, 1691, 267, 1822, 1004, 2066, 476, 2641, 540, 519, 476, 2537, 20948, 693, 565, 3149, 538, 519, 681, 11085, 267, 27195, 20727, 1755, 543, 661, 2041, 6614, 269, 18001, 4083, 6905, 922, 3914, 547, 476, 3451, 267, 1822, 7264, 538, 519, 4683, 7740, 540, 20727, 1755, 543, 661, 2041, 6614, 269, 901, 11036, 6663, 547, 2569, 1216, 13871, 3676, 31827, 689, 22247, 1216, 543, 1216, 20317, 267, 1519, 1085, 28320, 267, 13165, 267, 543, 27193, 1355, 267, 1247, 849, 5466, 1216, 2298, 2152, 269, 898, 20383, 609, 3084, 10850, 543, 519, 2136, 8315, 12655, 4886, 25779, 630, 16256, 294, 264, 476, 277, 267, 799, 11394, 547, 2327, 519, 8244, 543, 4264, 2359, 540, 1216, 543, 19455, 585, 782, 563, 8802, 8973, 1788, 6388, 267, 519, 21244, 11866, 2874, 540, 476, 278, 267, 278, 4343, 10820, 267, 609, 936, 3368, 23493, 538, 20727, 1755, 543, 661, 2041, 6614, 269, 18001, 594, 3922, 1242, 519, 476, 2420, 9018, 6532, 2950, 267, 2519, 593, 519, 1034, 7925, 5095, 269, 18001, 4083, 9450, 922, 3646, 547, 20727, 1755, 543, 661, 2041, 6614, 267, 8757, 476, 3451, 267, 1822, 811, 2043, 563, 12850, 4077, 640, 32524, 609, 519, 918, 22473, 267, 519, 3084, 2229, 267, 2199, 2146, 3401, 267, 543, 3906, 547, 2697, 3885, 538, 991, 540, 2973, 1216, 12086, 269, 5589, 760, 1801, 941, 13473, 593, 519, 2956, 540, 2922, 6704, 1216, 543, 1697, 9882, 267, 543, 519, 12086, 941, 8704, 609, 519, 948, 540, 1585, 8639, 269, 744, 32054, 3790, 941, 8766, 267, 609, 2199, 8128, 543, 23700, 1303, 27434, 609, 519, 1279, 3856, 5826, 540, 519, 12086, 269, 634, 1788, 6663, 547, 15814, 12086, 547, 1169, 7622, 538, 991, 538, 519, 21244, 11866, 563, 1103, 5988, 476, 1708, 274, 267, 519, 1788, 1107, 4826, 568, 5020, 256, 6707, 5342, 1216, 6882, 4656, 29492, 593, 661, 2041, 6614, 267, 26084, 7148, 12086, 543, 19943, 12086, 547, 10820, 267, 13039, 267, 543, 3506, 269, 634, 11036, 6603, 1585, 2950, 267, 543, 1246, 5346, 12220, 616, 9709, 547, 2708, 519, 7145, 540, 519, 12086, 269, 634, 1788, 568, 593, 519, 2357, 613, 540, 3246, 476, 1911, 260, 1569, 547, 2973, 543, 2922, 1216, 538, 519, 21244, 11866, 563, 4942, 848, 4083, 267, 17364, 689, 476, 1708, 272, 547, 476, 1708, 274, 267, 6098, 4683, 10820, 538, 20727, 1755, 543, 661, 2041, 6614, 267, 26084, 476, 12010, 6882, 1949, 593, 661, 2041, 6614, 543, 476, 274, 267, 280, 6924, 12086, 593, 20727, 1755, 269, 19461, 7616, 540, 1269, 1428, 267, 1822, 689, 4826, 4077, 640, 267, 19658, 713, 5123, 269, 20727, 1755, 1684, 621, 7454, 7577, 25855, 12086, 689, 519, 772, 2529, 269, 22163, 547, 20727, 1755, 543, 661, 2041, 6614, 6816, 269, 634, 2622, 2657, 9257, 630, 21766, 264, 543, 519, 12080, 540, 2657, 543, 5274, 7896, 3177, 3606, 7616, 547, 3382, 2951, 9276, 585, 2818, 547, 2951, 689, 20727, 1755, 547, 661, 2041, 6614, 269, 674, 14072, 564, 12086, 941, 6074, 585, 661, 2041, 6614, 267, 607, 1034, 5321, 1185, 1569, 547, 7622, 31316, 564, 1949, 269, 9751, 11925, 543, 6351, 609, 1216, 6882, 3892, 941, 5342, 593, 519, 2666, 563, 1103, 20727, 1755, 267, 6882, 3892, 3459, 538, 23718, 22810, 267, 14178, 547, 681, 7534, 267, 5548, 777, 267, 543, 23514, 549, 330, 2950, 267, 609, 5176, 476, 274, 267, 1822, 12086, 7856, 547, 10820, 676, 4571, 11219, 340, 569, 476, 1708, 274, 269, 634, 1788, 4371, 513, 12129, 2680, 547, 11760, 519, 7104, 3646, 540, 1346, 3238, 538, 4180, 1569, 547, 2973, 543, 2922, 1216, 585, 782, 2950, 538, 519, 21244, 11866, 563, 2026, 540, 5147, 476, 1708, 274, 267, 18001, 4083, 814, 7856, 606, 3606, 476, 276, 267, 1822, 1216, 12086, 547, 4683, 10820, 593, 661, 2041, 6614, 543, 20727, 1755, 267, 30364, 476, 3451, 267, 1822, 811, 21244, 3150, 2043, 269, 4595, 519, 27299, 540, 519, 667, 1066, 769, 631, 712, 1788, 538, 476, 1001, 279, 267, 5176, 476, 279, 267, 1822, 1216, 12086, 723, 1044, 7856, 2066, 782, 2950, 538, 519, 21244, 11866, 267, 16180, 519, 3804, 540, 2136, 8315, 12655, 4886, 25779, 476, 277, 593, 1216, 269, 634, 1788, 779, 1967, 814, 1044, 1500, 2009, 998, 5698, 543, 7029, 689, 1585, 1788, 4891, 563, 4942, 848, 8633, 267, 9709, 585, 476, 1708, 274, 268, 1708, 275, 267, 6663, 547, 2087, 6704, 1216, 1949, 538, 1857, 3506, 538, 519, 21244, 11866, 267, 2417, 532, 519, 5692, 540, 3246, 2973, 543, 2922, 1216, 547, 782, 7264, 269, 6736, 1713, 5989, 9283, 538, 1857, 3506, 267, 1082, 1869, 3668, 7850, 1569, 547, 2922, 6704, 1216, 563, 305, 517, 22448, 700, 807, 24023, 5018, 968, 2005, 779, 3819, 538, 681, 792, 5055, 680, 777, 1631, 543, 713, 6882, 568, 9494, 2729, 16634, 296, 1743, 1678, 17310, 543, 530, 664, 328, 585, 476, 274, 2395, 1071, 345, 540, 1100, 1216, 538, 519, 2777, 594, 3251, 693, 269, 2334, 19943, 609, 6882, 1568, 256, 654, 880, 594, 1185, 1250, 27317, 609, 803, 547, 1491, 533, 923, 3034, 292, 330, 3279, 8496, 534, 1767, 968, 296, 993, 3810, 12592, 547, 1459, 1250, 21981, 540, 713, 6882, 1354, 782, 540, 596, 543, 875, 621, 814, 4957, 1250, 1272, 269, 2423, 17067, 594, 1031, 547, 30321, 1216, 689, 4884, 547, 1250, 1747, 540, 3251, 538, 681, 23879, 330, 799, 729, 2731, 524, 13246, 727, 543, 7199, 1932, 1519, 519, 3454, 328, 24214, 269, 594, 1185, 547, 1265, 856, 2081, 1169, 3018, 547, 723, 2922, 4859, 540, 1216, 585, 1250, 6469, 946, 269, 898, 729, 513, 1272, 19145, 4090, 585, 803, 1906, 4374, 3516, 950, 594, 729, 5189, 547, 713, 1007, 7148, 6882, 676, 15516, 3933, 1664, 18135, 1380, 269, 634, 1966, 540, 11449, 22012, 1216, 14569, 1100, 3476, 6818, 594, 993, 1210, 713, 2922, 1507, 6882, 1169, 1554, 547, 6445, 1250, 1216, 689, 1250, 6952, 618, 593, 513, 2834, 4493, 269, 1924, 2484, 594, 723, 711, 1336, 1022, 2168, 4576, 1813, 547, 4616, 540, 1216, 1210, 713, 6882, 855, 594, 1745, 811, 23518, 607, 621, 17990, 1250, 942, 267, 2724, 543, 3646, 547, 6108, 593, 6704, 1216, 799, 568, 938, 2067, 4199, 269, 19010, 2894, 5442, 631, 21788, 269, 8729, 547, 782, 519, 1788, 1004, 585, 3246, 713, 3407, 6882, 547, 782, 1004, 538, 20727, 1755, 3034, 300, 14709, 32298, 7150, 968, 763, 4826, 568, 5020, 1788, 568, 3946, 1524, 835, 540, 519, 1034, 3407, 3785, 8045, 538, 938, 2950, 543, 649, 693, 24696, 7968, 296, 1745, 29341, 547, 723, 1044, 2111, 547, 1683, 930, 1489, 269, 594, 585, 835, 993, 513, 18579, 540, 519, 1216, 6882, 7856, 1934, 538, 31828, 3881, 820, 269, 634, 6882, 814, 4824, 1272, 585, 1250, 1920, 538, 1082, 2081, 269, 1284, 1100, 3476, 991, 547, 688, 592, 5230, 1216, 795, 13903, 1063, 589, 27826, 820, 543, 4884, 1175, 865, 649, 666, 1569, 2973, 6704, 1216, 269, 898, 814, 849, 10710, 721, 2724, 3034, 2171, 5795, 2973, 1216, 547, 606, 3003, 1507, 6532, 2221, 538, 519, 21244, 11866, 256, 1284, 2461, 827, 547, 3914, 519, 9096, 1899, 540, 8473, 547, 8473, 2973, 1216, 2336, 763, 9096, 1899, 23700, 585, 8473, 3562, 31215, 2973, 1216, 538, 519, 21244, 11866, 2336, 288, 2370, 8004, 945, 568, 11235, 547, 1451, 875, 547, 946, 12086, 563, 32086, 1004, 593, 2500, 946, 540, 1216, 12086, 563, 12850, 6882, 17392, 563, 295, 1343, 6823, 2259, 547, 946, 12086, 563, 2005, 779, 2653, 547, 2973, 12086, 585, 519, 1279, 2196, 563, 763, 7482, 585, 713, 1982, 723, 1044, 4359, 676, 4826, 4077, 640, 269, 2659, 21856, 1210, 519, 5213, 622, 7735, 786, 2327, 602, 649, 723, 7482, 2139, 547, 9585, 713, 1788, 269, 9877, 569, 24946, 1210, 519, 7735, 563, 1607, 1788, 814, 1044, 6192, 269, 1677, 1224, 827, 519, 4098, 540, 519, 1788, 267, 14160, 27912, 28313, 563, 763, 22084, 7541, 16323, 16004, 23346, 1982, 729, 9250, 593, 476, 1724, 4728, 269, 634, 10131, 729, 13984, 676, 2797, 543, 3909, 3401, 267, 20859, 267, 2229, 8387, 267, 1072, 6887, 543, 8498, 22242, 269, 1358, 5941, 519, 2244, 547, 581, 21248, 585, 519, 16004, 23346, 543, 519, 9550, 540, 513, 645, 648, 670, 1961, 15557, 9730, 630, 289, 295, 9448, 1040, 634, 3483, 540, 519, 645, 648, 670, 1961, 15557, 9730, 630, 289, 295, 9448, 264, 568, 547, 2327, 2489, 27194, 543, 5826, 540, 519, 1216, 2707, 543, 547, 20834, 1125, 519, 2146, 547, 2628, 741, 10865, 9295, 540, 1269, 271, 269, 2767, 269, 634, 2146, 22242, 941, 547, 581, 3743, 585, 7863, 519, 16004, 23346, 269, 3962, 8498, 3177, 1863, 2244, 585, 513 ]

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

[ 532, 19833, 2006, 9046, 543, 18726, 27122, 692, 1103, 713, 3184, 267, 649, 786, 2263, 513, 4241, 11938, 1966, 1634, 607, 519, 13488, 532, 19833, 2006, 9046, 630, 4811, 303, 264, 543, 1451, 875, 547, 4194, 621, 1210, 4719, 6620, 269, 1284, 786, 946, 519, 5124, 5399, 2387, 6447, 13427, 319, 547, 2936, 938, 3070, 780, 2162, 634, 13488, 532, 19833, 2006, 9046, 692, 763, 570, 9915, 568, 513, 5929, 1966, 538, 2780, 2257, 543, 4238, 1382, 269, 9717, 513, 1592, 540, 4872, 543, 519, 9883, 1063, 1142, 6292, 540, 4872, 267, 519, 3804, 568, 547, 1265, 519, 20125, 2009, 8905, 602, 11564, 1142, 2749, 4010, 2899, 543, 7024, 547, 519, 5169, 2749, 269, 901, 1966, 568, 26128, 3620, 731, 267, 2495, 602, 972, 568, 1100, 1634, 3608, 5690, 547, 1265, 519, 6099, 3070, 585, 782, 8320, 540, 519, 1966, 780, 763, 570, 9915, 666, 581, 6719, 607, 513, 3113, 267, 1141, 519, 4872, 616, 519, 9136, 543, 519, 8728, 2099, 519, 9883, 1063, 873, 269, 634, 1966, 1287, 3587, 835, 540, 4466, 519, 16803, 1014, 4783, 609, 519, 5934, 2698, 2597, 267, 1141, 513, 16803, 1014, 4783, 568, 513, 4783, 602, 11564, 1142, 6843, 4010, 2899, 780, 2162, 18726, 27122, 692, 7049, 2045, 6620, 616, 513, 1826, 540, 11938, 5690, 6273, 676, 519, 1184, 540, 2067, 5542, 269, 1358, 960, 676, 4509, 513, 2551, 540, 11134, 3435, 267, 799, 616, 6719, 607, 15954, 269, 3962, 15694, 568, 11117, 2687, 547, 513, 8516, 1599, 267, 799, 3800, 875, 1134, 519, 3070, 31758, 519, 1966, 269, 634, 3514, 11687, 15954, 616, 1287, 5697, 585, 12093, 267, 1141, 789, 10929, 31832, 20108, 543, 15817, 547, 3132, 513, 1007, 5108, 540, 11134, 3435, 269, 901, 1184, 568, 7368, 2394, 513, 25685, 3070, 568, 1336, 610, 513, 5021, 1297, 540, 5481, 568, 6603, 780, 2162, 634, 19803, 9046, 692, 6524, 649, 4685, 883, 519, 570, 9915, 267, 1577, 781, 1101, 1491, 513, 1413, 693, 513, 12863, 1966, 281, 519, 19803, 1966, 269, 901, 1966, 3322, 11093, 562, 30842, 593, 606, 562, 1535, 562, 21802, 4580, 971, 602, 1100, 1079, 30842, 21279, 1142, 824, 269, 901, 1797, 602, 1100, 1079, 30842, 666, 581, 538, 519, 1482, 4737, 267, 6241, 267, 610, 15497, 780, 763, 19803, 1966, 666, 581, 6719, 607, 513, 9352, 5569, 540, 3259, 562, 267, 1141, 1142, 3787, 4564, 519, 2990, 540, 513, 15596, 538, 513, 1880, 6241, 269, 1280, 1383, 267, 519, 5569, 834, 1911, 1015, 257, 4564, 513, 3070, 547, 519, 476, 276, 268, 4302, 839, 1966, 267, 1141, 519, 30842, 616, 5116, 538, 9587, 476, 272, 267, 476, 275, 267, 543, 476, 276, 780, 2162, 634, 19803, 18893, 4147, 692, 3086, 1577, 781, 1491, 513, 1413, 693, 519, 3009, 585, 519, 2387, 20075, 839, 18893, 319, 1362, 267, 799, 568, 513, 1016, 5035, 540, 2387, 11514, 4740, 18893, 319, 689, 519, 2387, 6447, 13427, 319, 5399, 269, 901, 1362, 568, 1031, 547, 4194, 519, 19803, 1966, 1210, 4719, 6620, 563, 3499, 7090, 454, 5228, 16720, 13427, 8807, 5893, 1104, 19803, 454, 5228, 16720, 13427, 269, 9953, 318, 2889, 2125, 6185, 529, 4740, 18893, 1104, 2598, 4740, 18893, 692, 5035, 19803, 18893, 263, 11514, 4740, 18893, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 3259, 22561, 267, 8516, 6958, 333, 22561, 267, 11694, 25716, 2676, 4449, 31832, 20108, 22561, 267, 4573, 1807, 22561, 17107, 1038, 952, 630, 325, 5893, 6958, 333, 568, 7183, 264, 543, 630, 26319, 568, 7183, 2187, 2018, 6318, 1401, 4003, 2891, 325, 5893, 6958, 333, 610, 3259, 1590, 581, 9138, 1701, 2020, 1038, 952, 3259, 568, 7183, 912, 2018, 3259, 815, 7003, 6600, 5893, 6958, 333, 269, 30135, 2020, 1038, 1582, 32324, 815, 3259, 692, 1038, 952, 8516, 6958, 333, 568, 7183, 912, 2018, 8516, 6958, 333, 815, 19803, 10797, 1038, 1582, 27982, 26371, 815, 3259, 454, 1038, 31832, 20108, 815, 31538, 15899, 7021, 4311, 264, 952, 31832, 20108, 568, 7183, 3116, 31832, 20108, 454, 1038, 4573, 1807, 815, 7827, 3080, 300, 583, 1807, 4311, 264, 952, 4573, 1807, 568, 7183, 3116, 4573, 1807, 454, 1038, 2706, 14061, 1029, 8181, 9191, 26319, 267, 8516, 6958, 333, 267, 11694, 267, 3259, 267, 31832, 20108, 267, 4573, 1807, 2020, 1038, 1533, 815, 5286, 20179, 27110, 4311, 32324, 267, 2450, 284, 1345, 32324, 994, 1038, 5286, 20179, 11075, 28984, 263, 8063, 994, 1038, 1582, 15630, 26077, 263, 8063, 2020, 825, 1219, 666, 14067, 641, 4311, 2187, 1038, 2132, 703, 4311, 10947, 6958, 5893, 28829, 2652, 476, 271, 454, 8199, 763, 2387, 1029, 8181, 1029, 319, 1505, 3355, 3278, 519, 2387, 20075, 839, 18893, 319, 1843, 609, 519, 1739, 6724, 1384, 268, 2387, 26319, 29699, 519, 1297, 540, 30842, 547, 581, 5116, 593, 519, 4604, 454, 268, 2387, 325, 5893, 6958, 333, 29699, 519, 8516, 1599, 547, 581, 1031, 547, 6218, 11134, 3435, 454, 268, 2387, 10946, 4476, 29699, 513, 1630, 18978, 10834, 2436, 519, 8516, 1599, 1058, 581, 12366, 1242, 610, 31965, 454, 268, 2387, 322, 4592, 20108, 29699, 519, 31832, 20108, 11346, 547, 581, 1031, 547, 3132, 15556, 689, 2385, 15954, 454, 268, 2387, 332, 583, 1807, 29699, 519, 15817, 11346, 547, 581, 1031, 547, 6338, 8390, 883, 519, 2551, 692, 2252, 519, 2387, 325, 5893, 6958, 333, 319, 9936, 568, 711, 3177, 267, 513, 9949, 2387, 20075, 839, 319, 8516, 1599, 568, 1031, 269, 901, 1599, 7024, 519, 1297, 540, 8424, 540, 30842, 602, 21279, 1142, 824, 267, 799, 568, 513, 2268, 540, 875, 1434, 513, 1880, 3070, 568, 269, 634, 3804, 568, 547, 7413, 713, 1871, 547, 4642, 267, 799, 14687, 547, 513, 4570, 3070, 547, 519, 1966, 780, 763, 2387, 322, 4592, 20108, 319, 543, 2387, 332, 583, 1807, 319, 6724, 616, 18593, 267, 543, 9949, 547, 2387, 4462, 6134, 15899, 7021, 319, 543, 2387, 27087, 3080, 300, 583, 1807, 12452, 6606, 269, 1452, 12427, 616, 1031, 547, 3132, 1007, 11134, 3435, 689, 4540, 3283, 780, 763, 2387, 4754, 14067, 641, 319, 1505, 7024, 513, 1630, 18978, 10834, 2436, 519, 5690, 1058, 3247, 269, 769, 713, 2013, 267, 519, 5690, 13515, 950, 519, 8516, 1599, 7024, 513, 1871, 540, 4642, 267, 799, 14687, 547, 513, 4570, 3070, 780, 2162, 14572, 519, 19803, 9046, 692, 3086, 602, 649, 723, 3989, 519, 2387, 20075, 839, 18893, 319, 1362, 267, 1577, 781, 1294, 875, 649, 666, 946, 621, 547, 4194, 519, 19803, 1966, 269, 1284, 786, 946, 519, 2387, 6447, 13427, 269, 2102, 2045, 318, 14607, 319, 1599, 547, 2196, 519, 4719, 5690, 563, 3499, 7090, 454, 5814, 11885, 607, 5286, 454, 5228, 16720, 13427, 269, 2102, 2045, 318, 14607, 1104, 18726, 2704, 326, 3596, 332, 692, 258, 8073, 513, 19803, 18893, 1843, 609, 476, 279, 30842, 454, 2889, 12378, 815, 19803, 18893, 10857, 2654, 284, 279, 2020, 258, 5590, 909, 519, 4719, 5690, 454, 14607, 3596, 332, 815, 18726, 2704, 326, 3596, 332, 32384, 318, 3430, 3319, 338, 284, 1911, 271, 267, 3193, 318, 527, 619, 284, 1911, 271, 2676, 4449, 17264, 1402, 15481, 284, 1911, 267, 15817, 318, 22238, 284, 271, 269, 272, 2020, 258, 14840, 519, 4719, 5690, 454, 12895, 26077, 267, 1655, 6958, 5893, 815, 5690, 269, 14725, 263, 2889, 12378, 2020, 258, 7179, 519, 1655, 3070, 1336, 454, 2745, 6357, 652, 26077, 994, 8199, 1103, 713, 3009, 267, 649, 1101, 1711, 513, 2387, 20075, 839, 18893, 319, 1843, 609, 476, 279, 30842, 269, 1284, 1287, 1305, 909, 519, 4719, 5690, 609, 519, 1739, 6724, 1384, 268, 2387, 10946, 318, 3430, 3319, 338, 29699, 519, 5021, 1297, 540, 8942, 547, 1265, 513, 4570, 3070, 454, 268, 2387, 10946, 318, 527, 619, 29699, 519, 5021, 1297, 540, 23200, 547, 2196, 519, 5690, 454, 268, 2387, 16647, 15481, 29699, 519, 2450, 540, 519, 2551, 540, 11134, 3435, 454, 268, 2387, 332, 16615, 318, 22238, 29699, 519, 5506, 540, 15817, 9648, 538, 1142, 5108, 692, 2171, 1287, 2196, 519, 4719, 5690, 1210, 519, 2387, 14725, 319, 1505, 540, 519, 2387, 7049, 2045, 2704, 326, 3596, 332, 319, 1843, 267, 8429, 538, 519, 2387, 20075, 839, 18893, 319, 1843, 607, 519, 1966, 547, 581, 12193, 269, 634, 2387, 14725, 319, 1505, 7024, 519, 1655, 3070, 1336, 543, 922, 8516, 1871, 780, 7661, 267, 649, 1820, 519, 1655, 3070, 1336, 267, 799, 568, 513, 9352, 5569, 8204, 519, 7158, 540, 519, 30842, 593, 519, 4604, 780, 2162, 634, 13488, 532, 19833, 2006, 9046, 609, 18726, 27122, 692, 3086, 602, 649, 723, 2938, 875, 547, 4194, 519, 19803, 1966, 609, 4719, 6620, 267, 1577, 781, 4019, 519, 1482, 1935, 547, 519, 570, 9915, 780, 763, 570, 9915, 666, 581, 6719, 607, 513, 32089, 540, 519, 9981, 476, 272, 547, 562, 267, 1141, 562, 568, 519, 1297, 540, 4872, 269, 3962, 32089, 4564, 513, 1880, 1931, 538, 799, 519, 4872, 616, 10272, 269, 634, 3804, 568, 547, 1265, 519, 32089, 602, 2164, 538, 519, 20125, 2698, 3845, 14612, 780, 2414, 4194, 519, 570, 9915, 609, 4719, 6620, 267, 649, 666, 946, 519, 2387, 6447, 13427, 269, 4811, 303, 319, 8516, 1599, 267, 799, 7024, 519, 2698, 3845, 14612, 585, 513, 1880, 32089, 269, 1284, 666, 1287, 946, 519, 1482, 2387, 7049, 2045, 2704, 326, 3596, 332, 319, 1843, 607, 1354, 547, 2196, 519, 5690, 780, 2080, 568, 606, 1383, 540, 875, 547, 4194, 519, 570, 9915, 609, 4719, 6620, 912, 3499, 7090, 454, 5814, 11885, 607, 5286, 454, 5228, 16720, 13427, 269, 2102, 2045, 318, 14607, 1104, 18726, 2704, 326, 3596, 332, 454, 5228, 16720, 13427, 269, 1206, 335, 1104, 570, 9915, 692, 258, 8073, 513, 570, 9915, 1843, 609, 476, 1015, 4872, 454, 323, 2700, 24624, 815, 5286, 20179, 20120, 263, 1015, 267, 476, 1015, 994, 2889, 12378, 815, 570, 9915, 5560, 2700, 24624, 2020, 258, 5590, 909, 519, 4719, 5690, 454, 14607, 3596, 332, 815, 18726, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 339, 1807, 454, 5228, 16720, 13427, 8807, 5893, 1104, 19803, 454, 5228, 16720, 13427, 269, 9953, 318, 2889, 2125, 6185, 529, 4740, 18893, 1104, 2598, 4740, 18893, 7531, 5035, 19803, 18893, 263, 11514, 4740, 18893, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 3259, 22561, 267, 8516, 6958, 333, 22561, 267, 11694, 25716, 2676, 4449, 31832, 20108, 22561, 267, 4573, 1807, 22561, 17107, 1038, 952, 630, 325, 5893, 6958, 333, 568, 7183, 264, 543, 630, 26319, 568, 7183, 2187, 2018, 6318, 1401, 4003, 2891, 325, 5893, 6958, 333, 610, 3259, 1590, 581, 9138, 1701, 2020, 1038, 952, 3259, 568, 7183, 912, 2018, 3259, 815, 7003, 6600, 5893, 6958, 333, 269, 30135, 2020, 1038, 1582, 32324, 815, 3259, 692, 1038, 952, 8516, 6958, 333, 568, 7183, 912, 2018, 8516, 6958, 333, 815, 19803, 10797, 1038, 1582, 27982, 26371, 815, 3259, 454, 1038, 31832, 20108, 815, 31538, 15899, 7021, 4311, 264, 952, 31832, 20108, 568, 7183, 3116, 31832, 20108, 454, 1038, 4573, 1807, 815, 7827, 3080, 300, 583, 1807, 4311, 264, 952, 4573, 1807, 568, 7183, 3116, 4573, 1807, 454, 1038, 2706, 14061, 1029, 8181, 9191, 26319, 267, 8516, 6958, 333, 267, 11694, 267, 3259, 267, 31832, 20108, 267, 4573, 1807, 2020, 1038, 1533, 815, 5286, 20179, 27110, 4311, 32324, 267, 2450, 284, 1345, 32324, 994, 1038, 5286, 20179, 11075, 28984, 263, 8063, 994, 1038, 1582, 15630, 26077, 263, 8063, 2020, 825, 1219, 666, 14067, 641, 4311, 2187, 1038, 2132, 703, 4311, 10947, 6958, 5893, 28829, 2652, 476, 271, 454, 8199, 2237, 606, 3573, 543, 2143, 1837, 609, 19900, 1257, 543, 3009, 12612, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 269, 3550, 519, 3137, 616, 3015, 543, 2653, 547, 1174, 676, 1053, 609, 930, 2596, 1702, 540, 519, 1641, 269, 476, 634, 1837, 1058, 3895, 7744, 543, 20201, 1983, 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, 912, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 2422, 19000, 10035, 3230, 585, 4834, 543, 18889, 585, 5124, 3009, 12612, 269, 3097, 268, 3550, 4570, 19673, 3977, 563, 268, 12305, 543, 1104, 1022, 2556, 8021, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 1684, 711, 2491, 2596, 9226, 2035, 899, 3252, 543, 4632, 269, 1684, 711, 946, 16814, 585, 11249, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 1691, 281, 4197, 4793, 757, 543, 519, 10020, 540, 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 ]

[ 0, 6624, 3237, 3068, 2352, 8090, 610, 2591, 269, 1215, 666, 891, 476, 1321, 968, 293, 892, 1913, 948, 3237, 6330, 9157, 3871, 543, 2226, 513, 2318, 19773, 888, 293, 5217, 2352, 8090, 543, 2591, 568, 1945, 1169, 2385, 17358, 1256, 952, 596, 616, 606, 454, 1410, 1051, 532, 2385, 269, 3733, 1433, 476, 1321, 15474, 968, 293, 892, 9293, 585, 14268, 2982, 3237, 1175, 875, 547, 13720, 1346, 2352, 8090, 543, 2591, 269, 1411, 1294, 519, 5354, 540, 721, 711, 1175, 3237, 855, 4079, 538, 2489, 4431, 689, 938, 4664, 3079, 540, 938, 5042, 4555, 269, 23985, 1500, 721, 14220, 267, 865, 649, 586, 749, 269, 23985, 1500, 721, 8909, 267, 865, 649, 11716, 267, 2196, 2476, 267, 610, 3956, 269, 2755, 4664, 786, 4473, 938, 3210, 547, 1346, 4664, 568, 938, 5539, 269, 1879, 938, 10312, 568, 2312, 267, 543, 938, 25043, 616, 5150, 649, 1451, 875, 547, 4431, 547, 938, 4664, 538, 606, 8716, 543, 10575, 14823, 6073, 563, 2690, 1383, 267, 952, 1945, 2306, 721, 14220, 649, 666, 2307, 616, 596, 3843, 547, 1118, 803, 14220, 1317, 594, 993, 4743, 536, 6139, 1042, 267, 3905, 267, 610, 8726, 12214, 3210, 596, 616, 2348, 269, 4107, 540, 519, 2053, 938, 1453, 616, 711, 269, 1403, 789, 616, 602, 779, 1141, 6302, 543, 2463, 2097, 538, 547, 1404, 269, 6271, 1383, 952, 1945, 2306, 721, 8909, 899, 938, 1126, 4465, 1406, 29751, 721, 610, 2911, 827, 741, 1554, 609, 721, 269, 1284, 666, 5968, 875, 649, 616, 8391, 1018, 789, 616, 3257, 543, 1683, 513, 12001, 1383, 540, 875, 547, 5968, 938, 1459, 4161, 563, 1103, 2221, 779, 3728, 19550, 1158, 267, 3237, 1419, 1745, 16397, 269, 1215, 798, 707, 476, 1321, 968, 293, 892, 1913, 2232, 519, 3390, 540, 13326, 9021, 543, 4509, 513, 2318, 15970, 1935, 888, 296, 1935, 1272, 3666, 689, 513, 2790, 543, 24396, 1935, 269, 3776, 1158, 568, 3001, 1974, 543, 621, 2141, 814, 1044, 269, 8682, 20820, 543, 1582, 16162, 23002, 786, 2141, 581, 519, 7887, 7496, 585, 721, 607, 3237, 269, 1306, 3425, 649, 1616, 1018, 649, 1616, 267, 950, 649, 1616, 621, 267, 1946, 649, 1616, 621, 269, 1809, 607, 3237, 649, 666, 948, 938, 1453, 1174, 519, 4641, 540, 9639, 267, 1852, 267, 6302, 267, 4539, 543, 2463, 269, 1879, 891, 2035, 616, 7550, 267, 4294, 543, 8045, 519, 10605, 540, 519, 1158, 530, 2632, 2339, 1317, 649, 786, 917, 938, 5692, 543, 938, 1747, 538, 519, 1158, 269, 4197, 938, 674, 5495, 301, 6395, 3582, 2337, 721, 1832, 9350, 538, 519, 6159, 345, 1465, 269, 901, 568, 1946, 674, 5495, 301, 6395, 3582, 568, 519, 1101, 968, 293, 892, 1158, 269, 3776, 5748, 568, 2629, 547, 519, 1259, 649, 1935, 1866, 543, 519, 1158, 693, 1804, 269, 0, 272, 269, 3026, 1328, 26606, 22197, 538, 2842, 17081, 454, 4415, 519, 2810, 2518, 3747, 585, 7791, 1648, 267, 2842, 1379, 267, 607, 513, 2973, 543, 13476, 7874, 1106, 540, 1648, 267, 568, 7930, 8391, 1004, 779, 3007, 543, 3007, 269, 769, 713, 1184, 267, 519, 3498, 540, 8628, 11275, 2842, 18434, 568, 4742, 811, 543, 811, 7839, 269, 634, 4295, 851, 540, 519, 8628, 11275, 2842, 17081, 568, 4686, 3618, 8628, 11275, 2326, 267, 519, 1034, 1455, 540, 799, 568, 683, 1328, 26606, 22197, 269, 901, 2376, 786, 1865, 519, 5383, 540, 8939, 1164, 26024, 683, 1328, 26606, 22197, 585, 8628, 11275, 2842, 18434, 267, 607, 1134, 607, 2152, 602, 991, 547, 581, 6976, 3007, 547, 538, 519, 1374, 563, 273, 269, 26794, 540, 1164, 26024, 683, 1328, 26606, 22197, 454, 2691, 7446, 8628, 22197, 585, 8628, 11275, 18402, 267, 1210, 1164, 26024, 683, 1328, 26606, 22197, 568, 513, 8797, 3903, 269, 1306, 519, 5767, 3791, 22831, 4686, 3618, 8628, 11275, 267, 683, 1328, 26606, 22197, 723, 9120, 3601, 971, 607, 1164, 1121, 534, 775, 267, 1164, 28170, 2032, 543, 1164, 5021, 6419, 1648, 1587, 269, 901, 2306, 683, 1328, 26606, 22197, 606, 4998, 1570, 585, 2679, 3608, 267, 1507, 267, 17426, 18402, 563, 11854, 32496, 267, 683, 1328, 26606, 22197, 723, 1713, 5383, 538, 912, 414, 495, 510, 11947, 2773, 281, 3026, 1328, 26606, 22197, 723, 1164, 15895, 11275, 1143, 543, 5021, 6419, 1648, 1587, 267, 3379, 609, 824, 8628, 22197, 269, 901, 2306, 873, 4998, 585, 946, 538, 1818, 1164, 3887, 11797, 18402, 269, 1452, 9120, 3601, 1118, 683, 1328, 26606, 22197, 4922, 1031, 538, 8628, 11275, 2842, 18434, 563, 414, 495, 350, 295, 580, 4554, 1942, 2773, 281, 22702, 609, 7663, 10740, 524, 28240, 8628, 22197, 543, 824, 4686, 3618, 8628, 11275, 2326, 267, 683, 1328, 26606, 22197, 723, 5458, 6151, 1570, 14425, 267, 543, 683, 1328, 26606, 22197, 666, 3035, 519, 5207, 2773, 693, 519, 9803, 1942, 563, 414, 495, 351, 22102, 13026, 4320, 281, 4635, 7864, 683, 1328, 26606, 22197, 666, 5372, 513, 1804, 1297, 540, 7542, 1679, 22197, 547, 5352, 513, 6419, 2361, 540, 519, 1482, 8515, 267, 7494, 4227, 519, 2450, 540, 519, 11718, 563, 414, 495, 352, 20181, 5826, 1942, 281, 3026, 1328, 26606, 22197, 666, 2226, 11275, 1143, 585, 513, 1279, 942, 1310, 11275, 1436, 267, 543, 519, 6419, 2361, 4222, 568, 849, 1360, 7123, 269, 4475, 267, 4509, 8628, 11275, 2842, 18434, 568, 5266, 2241, 543, 814, 8766, 5826, 3790, 563, 274, 269, 12694, 5185, 676, 8628, 11275, 2842, 18434, 454, 7212, 683, 1328, 26606, 22197, 723, 1082, 5383, 267, 950, 1031, 538, 8628, 11275, 2842, 18434, 267, 972, 616, 1869, 1896, 2152, 602, 991, 547, 581, 6976, 3007, 547, 912, 414, 495, 510, 307, 17687, 1198, 281, 1306, 519, 2837, 4679, 267, 519, 6419, 3601, 540, 683, 1328, 26606, 22197, 786, 7930, 6175, 267, 4611, 538, 513, 6175, 538, 11718, 4398, 269, 634, 5021, 5665, 2837, 540, 683, 1328, 26606, 22197, 568, 476, 15996, 9180, 269, 1677, 2327, 7123, 2773, 896, 1164, 5210, 267, 621, 568, 2556, 547, 946, 683, 1328, 26606, 22197, 609, 2362, 28170, 2032, 610, 547, 11126, 519, 3002, 4744, 11692, 1062, 540, 519, 11718, 563, 414, 495, 350, 8256, 29548, 540, 2773, 281, 1280, 2527, 1790, 22004, 18402, 267, 621, 568, 2556, 547, 2327, 602, 519, 683, 1328, 26606, 22197, 538, 1142, 16801, 723, 519, 1482, 543, 7123, 6419, 3601, 269, 901, 3340, 7453, 2298, 1852, 540, 519, 11275, 2504, 1184, 547, 2327, 5812, 2773, 563, 414, 495, 351, 17357, 12509, 2360, 281, 3026, 1328, 26606, 22197, 949, 581, 12444, 1242, 610, 15309, 539, 538, 519, 2067, 1604, 267, 7133, 741, 2773, 269, 1677, 4194, 713, 1966, 267, 22197, 666, 581, 2627, 5701, 610, 2016, 606, 4550, 268, 6412, 15098, 547, 2333, 741, 4187, 547, 14809, 563, 414, 495, 352, 295, 27941, 5663, 1942, 281, 634, 5663, 1942, 540, 4686, 3618, 8628, 11275, 18402, 568, 2362, 982, 602, 540, 3167, 29835, 18402, 269, 901, 568, 1813, 547, 519, 5266, 1164, 9513, 3902, 540, 4686, 3618, 8628, 11275, 2326, 269, 4014, 519, 1942, 568, 2362, 267, 519, 4686, 3618, 8628, 11275, 11718, 814, 5140, 2773, 543, 666, 4688, 1648, 4616, 1282, 5106, 269, 634, 5665, 1942, 568, 1454, 2539, 982, 602, 540, 519, 3167, 29835, 11718, 563, 11947, 26024, 683, 1328, 26606, 22197, 1404, 513, 1883, 1909, 538, 8628, 11275, 2842, 18434, 269, 898, 2337, 3035, 1507, 267, 17426, 543, 3608, 11718, 1374, 267, 1247, 849, 2348, 519, 5383, 540, 1164, 2773, 543, 1164, 1942, 2773, 269, 1717, 267, 1210, 683, 1328, 26606, 22197, 849, 3340, 3007, 547, 930, 2591, 267, 971, 607, 2837, 2360, 267, 14809, 4187, 543, 2773, 11007, 269, 1635, 12561, 3617, 4831, 1889, 9778, 267, 8628, 11275, 2842, 18434, 666, 581, 811, 4922, 1031, 538, 519, 2361, 540, 1007, 1648, 563, 7712, 476, 1960, 275, 267, 938, 2754, 814, 1044, 6721, 1164, 26024, 683, 1328, 26606, 22197, 585, 8628, 11275, 2842, 18434, 267, 609, 5561, 538, 811, 982, 476, 736, 2477, 543, 4525, 269, 1403, 596, 1131, 899, 811, 1587, 1344, 267, 5225, 3346, 721, 269, 0, 5719, 10879, 568, 513, 3376, 2165, 602, 4016, 547, 513, 6794, 610, 513, 1305, 540, 2589, 2404, 609, 513, 7771, 538, 5042, 1599, 269, 898, 13315, 1585, 5042, 23043, 267, 1519, 3965, 2530, 267, 7965, 609, 1966, 9010, 267, 1893, 267, 543, 2242, 538, 2623, 269, 1546, 10879, 568, 711, 513, 1808, 2068, 282, 2864, 267, 621, 568, 513, 7104, 2165, 585, 513, 2039, 540, 2175, 602, 1291, 547, 5042, 7771, 269, 1452, 2175, 666, 581, 3361, 676, 1114, 5817, 2188, 267, 971, 607, 14715, 4713, 267, 15466, 2042, 267, 5563, 267, 543, 811, 269, 898, 568, 1271, 547, 1174, 602, 12110, 568, 711, 513, 3339, 851, 540, 519, 10172, 1184, 855, 2864, 513, 1267, 540, 606, 5817, 2564, 3390, 563, 2704, 11533, 779, 2068, 267, 593, 519, 824, 1688, 267, 568, 513, 1808, 543, 11342, 2014, 540, 12110, 269, 898, 568, 513, 11636, 543, 28115, 894, 2634, 4524, 602, 6589, 585, 827, 476, 2568, 268, 3583, 260, 540, 782, 12110, 2665, 269, 12216, 779, 2068, 5097, 5540, 3965, 543, 3206, 1983, 269, 634, 2783, 568, 6353, 676, 519, 19221, 540, 9402, 3940, 12074, 538, 519, 2634, 267, 1519, 12498, 268, 600, 2643, 1355, 29693, 13196, 543, 512, 879, 8126, 956, 269, 1452, 12074, 15936, 609, 519, 2634, 779, 2792, 543, 2014, 519, 16795, 7771, 538, 5042, 1599, 269, 12216, 779, 2068, 3335, 22264, 998, 1114, 5933, 267, 4358, 609, 7646, 3965, 2042, 543, 5555, 3056, 547, 4049, 23043, 538, 3232, 8647, 269, 0, 268, 6792, 568, 1753, 547, 513, 3309, 2039, 540, 22747, 267, 16559, 2066, 922, 25713, 15564, 25378, 5251, 563, 268, 634, 2197, 779, 15027, 2534, 814, 8032, 922, 11585, 267, 2528, 267, 543, 1686, 563, 268, 10289, 519, 22747, 540, 6792, 2488, 2189, 4030, 883, 519, 17027, 13300, 540, 938, 4541, 563, 268, 6250, 1746, 891, 22747, 666, 581, 606, 3078, 7045, 585, 2470, 12439, 543, 554, 1731, 619, 563, 300, 1410, 4815, 779, 15027, 2534, 666, 581, 14360, 1394, 6634, 540, 1296, 269, 634, 2197, 779, 4087, 2059, 519, 7414, 23580, 540, 9605, 267, 513, 3148, 1634, 585, 922, 20381, 543, 15027, 2534, 267, 814, 6766, 519, 5250, 540, 3875, 22747, 269, 901, 17027, 2534, 814, 1500, 6792, 513, 4241, 1747, 585, 3744, 543, 7045, 3464, 7567, 563, 3080, 540, 519, 1034, 4583, 15027, 2621, 538, 11204, 1686, 568, 519, 20349, 540, 519, 3474, 19107, 27713, 18962, 269, 769, 476, 3707, 274, 267, 513, 16027, 3957, 667, 542, 529, 1470, 17240, 18480, 729, 2324, 538, 1010, 8970, 7615, 950, 519, 2666, 10393, 29618, 1930, 267, 543, 513, 18962, 7153, 269, 901, 2680, 9676, 519, 1158, 779, 3007, 543, 6039, 607, 513, 6305, 1383, 540, 513, 18962, 779, 4332, 543, 2208, 563, 9961, 1686, 267, 6792, 779, 22747, 723, 5129, 1713, 2686, 5107, 269, 634, 3504, 25069, 14369, 543, 2904, 753, 2808, 22747, 607, 10723, 543, 2404, 873, 609, 741, 10971, 269, 1452, 12977, 3710, 741, 4872, 2282, 22747, 543, 5340, 18428, 543, 12738, 547, 4300, 848, 519, 15027, 24587, 563, 18698, 6792, 779, 22747, 3091, 7415, 4030, 883, 17027, 13300, 269, 1452, 22747, 4159, 1585, 2010, 540, 26706, 267, 8151, 689, 23292, 547, 5266, 9350, 2498, 15133, 26706, 269, 4197, 891, 9259, 2337, 3744, 1732, 10146, 519, 3047, 779, 6418, 2324, 563, 2005, 568, 849, 4241, 547, 7198, 519, 3309, 18508, 543, 21426, 602, 8853, 538, 16133, 547, 22747, 269, 634, 3638, 15027, 3037, 7028, 2189, 8134, 267, 543, 1082, 4686, 2249, 723, 9862, 547, 7639, 538, 891, 4101, 5054, 563, 13010, 267, 4974, 519, 22747, 540, 6792, 2488, 3407, 1702, 585, 9568, 23982, 543, 1981, 4879, 269, 1635, 4974, 2250, 26706, 543, 5464, 15027, 2534, 267, 3744, 666, 948, 2149, 519, 2199, 2551, 543, 11574, 519, 1761, 1764, 540, 15027, 2621, 563, 293, 9711, 827, 6792, 26439, 3996, 454, 347, 301, 5271, 5964, 632, 24729, 1075, 320, 1475, 275, 267, 276, 6507, 1475, 4467, 14658, 18962, 1475, 13750, 540, 6792, 2008, 19064, 4815, 632, 744, 10961, 19487, 1475, 276, 267, 277, 3607, 1475, 1805, 7806, 18240, 4754, 334, 1475, 19723, 659, 745, 345, 18025, 29301, 320, 2008, 21761, 18542, 5999, 630, 11902, 304, 994, 6701, 519, 22747, 540, 6792, 1869, 3742, 888, 8133, 267, 930, 540, 6792, 779, 22747, 616, 1869, 3742, 267, 609, 7377, 665, 520, 2946, 7065, 331, 1373, 835, 540, 519, 1034, 3742, 3283, 563, 4692, 596, 30382, 909, 6792, 779, 22747, 888, 8133, 267, 1082, 22747, 538, 6792, 2709, 19482, 3255, 269, 1717, 267, 621, 568, 1898, 547, 2638, 519, 2199, 2175 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4062, 4667, 547, 723, 1044, 9833, 607, 513, 561, 1393, 4062, 267, 4352, 519, 21917, 779, 30115, 814, 3366, 547, 930, 13509, 269, 634, 4266, 540, 5888, 267, 5156, 547, 2887, 1472, 476, 15876, 276, 630, 553, 6700, 676, 918, 984, 599, 20076, 264, 610, 693, 2547, 1063, 476, 15876, 275, 543, 476, 14690, 278, 267, 276, 949, 1448, 547, 513, 561, 1393, 960, 267, 607, 621, 729, 1472, 713, 942, 602, 29732, 729, 538, 3346, 609, 519, 454, 295, 691, 23143, 661, 747, 6199, 543, 7338, 918, 2129, 331, 327, 848, 630, 2644, 1070, 918, 761, 29531, 7137, 32218, 630, 2735, 273, 264, 585, 4320, 966, 270, 1015, 267, 661, 514, 29992, 333, 3331, 376, 828, 12340, 2536, 974, 918, 15442, 1512, 4546, 651, 4083, 3768, 918, 558, 6570, 523, 24166, 700, 2246, 523, 514, 11584, 618, 324, 267, 540, 519, 3026, 826, 29732, 13001, 288, 639, 326, 23042, 267, 476, 14631, 269, 962, 9655, 527, 820, 918, 984, 599, 20076, 267, 12603, 3502, 839, 577, 337, 3424, 20435, 1530, 30807, 1014, 29732, 338, 269, 667, 758, 2163, 566, 1775, 327, 17243, 9980, 19213, 331, 2426, 267, 4320, 26577, 270, 273, 630, 2735, 280, 264, 540, 519, 3026, 826, 29732, 13001, 288, 639, 326, 23042, 267, 476, 20385, 269, 634, 4644, 540, 713, 4062, 729, 4547, 547, 1250, 3007, 676, 1250, 2875, 267, 4414, 12107, 744, 685, 2414, 1961, 267, 945, 6700, 547, 803, 602, 972, 1522, 581, 513, 24396, 2460, 547, 519, 960, 269, 634, 1313, 1748, 6060, 568, 4371, 693, 772, 523, 334, 13001, 294, 27495, 523, 8535, 9142, 267, 19519, 630, 292, 747, 6199, 543, 918, 2129, 331, 327, 848, 267, 476, 14983, 1040, 661, 747, 6199, 543, 918, 2129, 331, 327, 848, 267, 476, 13923, 563, 22711, 540, 519, 5980, 585, 8535, 1108, 538, 8581, 267, 476, 272, 630, 1220, 276, 1700, 277, 1070, 533, 269, 476, 3451, 454, 2304, 928, 2274, 320, 1506, 561, 9790, 626, 8125, 341, 3780, 2274, 641, 1245, 1284, 1170, 269, 277, 1717, 267, 972, 616, 2042, 609, 2039, 950, 713, 4062, 568, 5129, 593, 519, 561, 1393, 543, 865, 621, 3788, 2864, 28430, 269, 8307, 519, 2776, 331, 8775, 568, 1404, 762, 1510, 1454, 27327, 269, 11048, 267, 519, 2556, 2242, 547, 519, 674, 1872, 826, 543, 1325, 5586, 549, 616, 1100, 811, 9097, 982, 1346, 1336, 538, 519, 9184, 331, 1155, 4528, 540, 519, 2672, 924, 538, 717, 5634, 630, 289, 310, 309, 476, 4200, 276, 264, 799, 568, 606, 11460, 540, 519, 8426, 334, 2672, 924, 538, 595, 630, 289, 310, 309, 476, 6200, 272, 1040, 278, 634, 2063, 1906, 13063, 540, 645, 310, 309, 476, 4200, 279, 616, 538, 1418, 9184, 331, 1155, 267, 7551, 9870, 2417, 2773, 2152, 269, 634, 1034, 2693, 6293, 1131, 3100, 547, 581, 519, 700, 2246, 523, 4546, 1188, 610, 700, 2246, 523, 743, 32667, 267, 513, 1507, 3771, 1186, 747, 867, 609, 513, 13974, 8032, 1560, 547, 602, 540, 513, 561, 1393, 269, 898, 1185, 8937, 12673, 726, 26786, 676, 513, 844, 650, 7271, 269, 279, 4340, 547, 519, 11891, 540, 7405, 538, 29732, 779, 15896, 1500, 693, 1010, 2669, 267, 29732, 11262, 1079, 561, 1393, 13001, 9618, 1186, 747, 3581, 30867, 6293, 649, 917, 2370, 827, 267, 607, 1100, 1383, 814, 15068, 543, 972, 616, 1906, 17245, 2959, 3823, 922, 2497, 269, 280, 20435, 26179, 3397, 878, 7637, 27416, 281, 2048, 19925, 519, 1032, 476, 14690, 271, 267, 538, 2274, 760, 345, 580, 267, 2348, 2938, 543, 4862, 513, 561, 1393, 13001, 9618, 1186, 747, 867, 2966, 676, 6004, 20435, 1530, 30807, 1014, 29732, 543, 13401, 676, 6004, 2098, 778, 926, 553, 670, 32499, 25912, 339, 267, 799, 729, 540, 4130, 2450, 982, 519, 8723, 3771, 1186, 747, 867, 9957, 1015, 898, 4667, 602, 1472, 476, 14690, 271, 29732, 729, 538, 3346, 609, 1284, 1170, 543, 849, 11262, 513, 561, 1393, 13001, 9618, 1186, 747, 867, 1765, 2399, 832, 602, 798, 711, 1118, 519, 3390, 540, 519, 31627, 540, 645, 310, 309, 476, 4200, 279, 1022, 20501, 269, 769, 606, 2376, 7231, 609, 519, 15747, 7399, 540, 645, 310, 309, 476, 4200, 279, 267, 26290, 523, 631, 269, 12358, 2692, 529, 20147, 281, 3267, 0, 19547, 1120, 757, 616, 16139, 1756, 610, 20962, 517, 622, 20919, 540, 1279, 5832, 1286, 7901, 344, 997, 7408, 563, 19547, 1120, 757, 568, 2500, 538, 1312, 2182, 543, 2571, 1216, 269, 5445, 723, 811, 26349, 2962, 982, 865, 2355, 454, 20779, 518, 1080, 540, 28052, 757, 616, 454, 272, 264, 16269, 616, 1875, 27500, 269, 28387, 789, 2014, 5533, 454, 273, 264, 19547, 1120, 757, 538, 1216, 4703, 786, 3132, 13479, 543, 786, 2569, 5135, 1543, 538, 1216, 454, 9773, 6458, 543, 13101, 12274, 616, 1459, 538, 2182, 1216, 454, 3719, 7429, 865, 2355, 28052, 757, 786, 711, 3132, 1202, 20107, 10511, 527, 919, 950, 538, 1216, 269, 810, 789, 616, 2500, 982, 865, 2355, 0, 9359, 513, 476, 1015, 28233, 5131, 23632, 547, 1133, 6674, 519, 9509, 5623, 454, 3963, 7689, 14136, 888, 8340, 2298, 3992, 4058, 2200, 267, 3728, 2336, 18704, 1299, 1121, 1460, 10070, 547, 12840, 563, 16391, 1125, 707, 6437, 609, 10070, 269, 14168, 2336, 5970, 942, 547, 581, 811, 3860, 1299, 17615, 609, 707, 1053, 2336, 1103, 713, 8239, 4976, 267, 1053, 2697, 519, 840, 6570, 531, 2453, 267, 3615, 267, 543, 840, 21752, 538, 476, 1015, 5220, 269, 4841, 849, 1224, 513, 6648, 1572, 834, 13328, 781, 7043, 652, 22054, 257, 543, 2328, 741, 1378, 4528, 563, 274, 14358, 476, 280, 20042, 0, 299, 1235, 540, 16767, 910, 9504, 454, 763, 1739, 568, 513, 1592, 540, 13091, 8638, 267, 543, 540, 1283, 16767, 676, 9588, 454, 663, 28896, 269, 12937, 269, 1496, 327, 728, 4940, 476, 272, 700, 1235, 676, 1974, 282, 476, 273, 700, 1235, 676, 2197, 282, 476, 274, 700, 1235, 676, 454, 2958, 542, 282, 476, 275, 700, 17999, 16767, 3267, 2859, 19314, 13202, 476, 1691, 267, 476, 1001, 276, 3267, 700, 17999, 32495, 1389, 538, 519, 2622, 4595, 476, 5002, 271, 269, 634, 8638, 543, 3267, 476, 280, 269, 8832, 454, 11764, 21358, 267, 12868, 267, 476, 1220, 276, 476, 6734, 476, 2764, 267, 476, 279, 269, 277, 267, 476, 273, 269, 5400, 267, 476, 9032, 269, 4905, 267, 623, 14701, 269, 476, 1015, 269, 2667, 600, 910, 4429, 14257, 476, 1321, 267, 476, 1001, 272, 3267, 6423, 1018, 519, 7887, 16767, 547, 3731, 1479, 519, 4541, 941, 267, 1141, 789, 5949, 454, 11321, 476, 1691, 267, 476, 1001, 272, 3267, 3371, 616, 519, 476, 1015, 7887, 16767, 9571, 2094, 5638, 3459, 563, 12749, 14210, 5903, 540, 519, 700, 17999, 32495, 1389, 17451, 16680, 539, 538, 3778, 676, 13804, 3363, 454, 1862, 476, 279, 543, 476, 280, 267, 972, 616, 1152, 3670, 593, 2594, 602, 723, 6027, 1063, 476, 280, 543, 476, 1015, 563, 1607, 2376, 786, 1683, 596, 513, 1592, 540, 5440, 476, 1015, 700, 17999, 32495, 1389, 538, 519, 1158, 269, 9603, 454, 1729, 13120, 538, 17688, 1108, 543, 17027, 5619, 621, 781, 3833, 2653, 547, 563, 2080, 616, 519, 476, 1015, 16999, 6592, 16767, 676, 9588, 2094, 476, 5002, 271, 563, 4178, 269, 2532, 2593, 30819, 19834, 286, 336, 284, 1015, 700, 17999, 32495, 1389, 261, 341, 284, 279, 308, 1794, 6395, 321, 345, 339, 300, 271, 454, 15037, 476, 2190, 267, 476, 1001, 277, 3267, 3371, 616, 1283, 476, 1015, 1592, 1592, 540, 519, 700, 17999, 32495, 1389, 538, 519, 3778, 676, 9588, 20620, 5472, 11742, 12749, 4427, 18285, 547, 3776, 8756, 268, 4179, 2517, 2998, 334, 3052, 331, 18025, 308, 332, 278, 10498, 4429, 4178, 269, 2532, 2593, 30819, 19834, 286, 336, 284, 1015, 700, 17999, 32495, 1389, 261, 341, 284, 322, 343, 327, 330, 345, 343, 5400, 298, 297, 296, 454, 19878, 476, 1556, 267, 476, 1001, 276, 3267, 476, 1015, 7887, 16767, 538, 1686, 269, 901, 1592, 3568, 4557, 540, 519, 16999, 267, 4666, 31586, 454, 663, 1034, 3532, 16767, 2479, 6592, 1472, 519, 4429, 14257, 476, 2767, 267, 476, 1001, 276, 3267, 3245, 519, 18310, 32495, 820, 602, 814, 865, 2484, 10645, 936, 476, 4335, 271, 2729, 547, 5800, 268, 879, 8894, 7468, 1550, 267, 27425, 267, 891, 616, 476, 1839, 540, 519, 10782, 16767, 538, 1686, 269, 3267, 634, 476, 279, 269, 273, 454, 332, 1725, 3363, 610, 476, 273, 269, 273, 8566, 580, 26293, 844, 820, 1152, 16768, 585, 476, 1015, 7643, 267, 855, 4547, 513, 3267, 0, 763, 19997, 12826, 1523, 5267, 602, 519, 5610, 540, 519, 1082, 1114, 454, 322, 30743, 540, 2136, 2276, 7264, 9192, 899, 513, 19997, 267, 607, 10353, 547, 519, 811, 454, 12914, 476, 2918, 267, 476, 1001, 273, 3267, 1548, 568, 519, 2104, 540, 21939, 538, 3013, 286, 1635, 23745, 590, 269, 18897, 660, 517, 563, 1607, 2203, 540, 7292, 5610, 666, 581, 4330, 607, 513, 19997, 12826, 267, 609, 1004, 540, 454, 18528, 5166, 4529, 2713, 538, 10103, 267, 899, 519, 23858, 267, 14274, 543, 17436, 538, 513, 4429, 763, 9253, 1154, 8000, 12411, 639, 634, 6428, 611, 30558, 269, 2904, 476, 274, 267, 476, 1220, 277, 676, 667, 15967, 590, 29229, 269, 594, 729, 538, 454, 28657, 2063, 3018, 543, 1185, 606, 4277, 2911, 609, 1250, 9348, 9920, 593, 519, 1259, 4429, 763, 13621, 1494, 3069, 267, 849, 5219, 547, 607, 2686, 3267, 12826, 21658, 1141, 519, 454, 532, 19263, 616, 9415, 3267, 769, 519, 2013, 540, 519, 19997, 12826, 267, 2686, 2516, 563, 15037, 476, 1556, 267, 476, 1001, 275, 3267, 17813, 568, 711, 606, 3390, 538, 3013, 269, 3502, 15042, 693, 2547, 269, 9406, 286, 1284, 723, 606, 3979, 454, 12677, 7022, 269, 3502, 3025, 693, 12548, 3557, 4429, 10521, 1514, 6436, 540, 11776, 5397, 713, 6643, 281, 519, 13621, 1494, 543, 519, 454, 15680, 611, 12826, 269, 634, 968, 27839, 1154, 8000, 892, 7869, 269, 634, 2856, 540, 519, 2136, 2276, 607, 513, 4429, 13971, 476, 2190, 267, 476, 1960, 271, 3267, 8836, 4763, 281, 1412, 763, 6428, 611, 30558, 7869, 8339, 8836, 4763, 269, 898, 781, 513, 8360, 4862, 454, 21865, 689, 269, 2475, 293, 16984, 543, 538, 1534, 320, 268, 512, 1308, 3332, 4429, 293, 698, 560, 4752, 281, 20308, 570, 3696, 585, 8682, 5025, 1087, 20156, 910, 1411, 666, 1265, 606, 2653, 4528, 540, 454, 1492, 1257, 1934, 281 ]

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

[ 632, 10968, 707, 1648, 267, 6028, 596, 4743, 4617, 267, 25356, 267, 543, 856, 540, 7362, 1310, 1256, 8766, 2168, 2534, 269, 11635, 10638, 666, 849, 1764, 707, 7099, 267, 4929, 4965, 6438, 2589, 971, 607, 29338, 543, 7411, 23622, 269, 2755, 513, 2241, 1973, 1449, 666, 2995, 707, 4387, 952, 596, 723, 606, 4401, 10638, 267, 952, 596, 2461, 4743, 13110, 543, 1835, 1678, 344, 782, 519, 942, 267, 621, 779, 513, 1434, 2856, 547, 4983, 519, 2179, 540, 4401, 538, 707, 2732, 563, 763, 2698, 3170, 538, 707, 3232, 2732, 1058, 3328, 1100, 811, 982, 476, 1789, 2600, 540, 707, 2698, 8477, 10057, 269, 1656, 15459, 3170, 1058, 581, 1100, 811, 982, 476, 1015, 2600, 540, 1346, 476, 1789, 2600, 540, 8477, 269, 634, 2179, 540, 3170, 543, 15459, 3170, 596, 3548, 5673, 593, 519, 3536, 596, 2824, 543, 8532, 602, 723, 3170, 538, 873, 269, 6333, 17874, 609, 513, 6484, 3318, 547, 1451, 811, 827, 875, 547, 5173, 707, 3170, 2115, 543, 547, 711, 9765, 1018, 616, 2635, 5666, 269, 1703, 616, 1082, 2645, 2139, 547, 948, 596, 3313, 875, 1454, 3170, 596, 1058, 8532, 1142, 1554, 1759, 593, 707, 1699, 1648, 543, 6484, 2115, 269, 7335, 1426, 10297, 568, 835, 1259, 547, 2253, 547, 2697, 1141, 543, 875, 1454, 3170, 568, 538, 1880, 1426, 3688, 563, 5475, 22797, 269, 13722, 2157, 540, 21110, 1310, 22797, 6318, 707, 1981, 585, 5312, 3676, 971, 607, 2295, 2068, 267, 8482, 267, 543, 3987, 267, 543, 21404, 267, 513, 2783, 602, 3123, 707, 7633, 547, 1831, 4617, 543, 2736, 3362, 269, 1548, 596, 3548, 849, 5540, 891, 5312, 3676, 269, 13185, 547, 707, 4387, 827, 2635, 4189, 4566, 543, 2436, 596, 991, 811, 7513, 543, 6171, 667, 547, 2149, 707, 7633, 269, 3367, 811, 827, 875, 1360, 1970, 21110, 2157, 1860, 707, 1072, 538, 938, 9093, 18108, 3296, 269, 4107, 2021, 849, 991, 7864, 8477, 607, 789, 2085, 267, 1317, 540, 1447, 4887, 543, 1447, 2168, 2534, 269, 4855, 856, 875, 1082, 8477, 596, 991, 1759, 593, 707, 1377, 540, 2534, 563, 2252, 596, 2219, 1257, 532, 4957, 707, 2648, 1272, 267, 4952, 1018, 621, 1223, 798, 585, 707, 22765, 1467, 269, 1879, 1004, 4607, 30973, 1257, 6835, 5009, 3635, 543, 2635, 5615, 7466, 513, 3018, 630, 328, 4318, 1421, 968, 16605, 538, 519, 26806, 513, 2098, 328, 680, 665, 609, 18233, 543, 3348, 583, 5388, 476, 275, 2656, 15165, 269, 5410, 476, 272, 5569, 10381, 476, 275, 5946, 25257, 789, 4503, 606, 3328, 540, 827, 476, 274, 2600, 540, 741, 1560, 2597, 538, 476, 1321, 4374, 269, 19893, 538, 519, 9098, 20448, 2160, 1353, 849, 4951, 606, 6454, 538, 4189, 5615, 267, 3635, 267, 543, 6484, 1582, 30797, 267, 543, 4080, 602, 519, 5931, 5280, 873, 9772, 891, 1007, 6208, 269, 4855, 1072, 16490, 2828, 543, 5048, 1142, 824, 23106, 267, 610, 1982, 707, 6049, 547, 6494, 3054, 2635, 4189, 4388, 269, 0, 763, 667, 4592, 17232, 13160, 616, 513, 3309, 267, 14421, 641, 13457, 1920, 540, 13733, 267, 799, 2882, 4829, 13733, 269, 6271, 20775, 1920, 540, 13733, 267, 570, 32397, 761, 13160, 267, 849, 2882, 2249, 1634, 607, 834, 20791, 4829, 13733, 2668, 634, 1655, 1634, 2249, 540, 519, 667, 4592, 17232, 13160, 568, 667, 4592, 32166, 14264, 690, 2120, 267, 1369, 519, 12593, 667, 4592, 32166, 267, 543, 713, 2249, 568, 1031, 14916, 585, 2090, 7282, 11976, 267, 1646, 267, 17550, 267, 14498, 543, 7180, 269, 901, 4829, 8038, 568, 6140, 7768, 540, 2022, 2173, 527, 5328, 2281, 267, 814, 513, 1360, 2110, 14438, 267, 543, 2982, 16795, 10172, 269, 1306, 538, 824, 2249, 267, 2837, 7506, 519, 1272, 1686, 540, 519, 3662, 269, 11153, 6090, 723, 1044, 4857, 602, 666, 581, 26203, 547, 8831, 519, 14438, 540, 891, 7786, 563, 23744, 267, 546, 4592, 17232, 1749, 616, 2808, 547, 581, 562, 7572, 766, 13733, 2864, 982, 10860, 267, 2094, 1034, 2249, 9742, 538, 4232, 1154, 1570, 269, 2098, 777, 337, 542, 639, 21944, 639, 2871, 24473, 568, 8966, 1851, 667, 4592, 17232, 13160, 2249, 538, 1373, 513, 3978, 267, 3119, 11641, 540, 693, 2547, 835, 5010, 4829, 267, 4453, 338, 538, 8478, 269, 6271, 2249, 267, 667, 4592, 32166, 647, 345, 4157, 4512, 267, 1102, 3949, 6094, 1606, 7219, 2740, 4829, 971, 607, 678, 5684, 11241, 543, 10027, 1845, 543, 666, 581, 513, 3978, 6694, 11641, 269, 667, 4592, 32166, 556, 921, 3279, 16793, 9468, 28368, 543, 3262, 4551, 269, 22500, 13733, 538, 2489, 616, 2808, 607, 513, 1455, 6152, 538, 9070, 908, 1035, 2045, 3679, 4551, 538, 2470, 269, 901, 1419, 21219, 519, 4568, 18829, 1184, 543, 666, 25010, 14420, 610, 9174, 676, 7432, 621, 883, 16693, 563, 763, 10368, 4162, 585, 667, 4592, 17232, 13160, 1331, 519, 4527, 540, 606, 18106, 23658, 739, 531, 18916, 267, 1079, 9397, 538, 519, 1942, 531, 18916, 267, 513, 1507, 1387, 1591, 538, 519, 13617, 267, 4780, 7217, 2022, 334, 3250, 541, 1490, 30178, 282, 543, 2356, 1614, 28882, 1490, 30178, 593, 1142, 2427, 540, 519, 2212, 267, 835, 9859, 4464, 543, 519, 824, 1079, 9859, 15493, 1189, 269, 2859, 3573, 8446, 4162, 666, 581, 1336, 538, 834, 291, 4592, 32166, 281, 589, 6651, 547, 15661, 22384, 543, 2422, 257, 676, 1703, 572, 589, 269, 4460, 578, 543, 18536, 744, 262, 294, 2784, 344, 267, 630, 10907, 27854, 4964, 267, 476, 1220, 276, 264, 9768, 476, 271, 268, 1321, 268, 5325, 274, 32180, 268, 274, 610, 834, 291, 4592, 32166, 281, 589, 12524, 18361, 257, 676, 631, 269, 12891, 14315, 518, 267, 918, 269, 717, 4301, 267, 590, 269, 8316, 2917, 267, 630, 290, 1245, 11354, 23320, 12524, 4964, 267, 476, 1220, 276, 1916, 8170, 741, 1082, 23640, 1996, 15495, 267, 950, 667, 4592, 32166, 14264, 690, 2120, 13733, 1294, 4775, 12586, 1998, 1439, 641, 31730, 527, 1355, 729, 1186, 267, 789, 6467, 547, 18413, 741, 5798, 538, 4568, 2000, 23565, 1426, 2959, 971, 607, 4232, 1154, 4829, 269, 23560, 865, 14014, 519, 13733, 689, 4742, 3984, 547, 519, 16793, 267, 607, 519, 729, 1186, 723, 513, 1970, 4568, 10892, 269, 901, 9065, 760, 3789, 2623, 1689, 1152, 4386, 2390, 7487, 519, 4775, 729, 335, 12586, 9366, 543, 1281, 711, 1491, 1747, 538, 519, 4527, 540, 519, 5256, 729, 335, 12586, 9366, 563, 763, 1920, 3568, 811, 982, 476, 275, 267, 1822, 2249, 9286, 896, 476, 4037, 25281, 269, 21298, 267, 513, 3102, 29981, 8760, 540, 519, 25281, 1759, 593, 1312, 7636, 543, 24466, 3197, 814, 1044, 3370, 563, 763, 6682, 650, 13160, 616, 513, 1920, 540, 13733, 267, 610, 667, 760, 614, 320, 269, 634, 1920, 814, 2947, 25281, 630, 27917, 2713, 282, 835, 8093, 1040, 5141, 611, 5255, 320, 9508, 630, 12187, 994, 5141, 611, 5255, 320, 9508, 568, 513, 12593, 540, 838, 8077, 30132, 13733, 267, 7786, 538, 519, 1920, 667, 4592, 17232, 13160, 269, 1703, 616, 693, 2547, 476, 6344, 4330, 2249, 538, 1849, 611, 5255, 320, 9508, 5861, 584, 2023, 582, 13160, 454, 763, 4354, 339, 582, 517, 13160, 610, 844, 553, 574, 29081, 13733, 616, 513, 1507, 1920, 540, 1507, 15454, 547, 4158, 6960, 1208, 335, 3724, 539, 13733, 630, 291, 760, 614, 320, 264, 609, 513, 5001, 3892, 267, 855, 609, 1360, 1906, 2249, 538, 519, 14033, 8157, 267, 3851, 22057, 23860, 4117, 1014, 267, 543, 6022, 320, 792, 8157, 4525, 269, 4107, 2818, 540, 519, 1920, 616, 1336, 538, 9341, 547, 31210, 4234, 6421, 538, 4000, 543, 519, 3026, 582, 1886, 923, 269, 3509, 2611, 19888, 8282, 538, 10070, 267, 2094, 2370, 960, 593, 519, 1920, 814, 1044, 2944, 2094, 519, 476, 4350, 271, 338, 6185, 328, 770, 520, 13160, 454, 13312, 770, 520, 13160, 616, 513, 1920, 540, 13733, 267, 543, 616, 538, 519, 1931, 667, 760, 614, 320, 269, 1358, 2049, 5097, 538, 519, 4591, 541, 8157, 16323, 267, 855, 1896, 2249, 616, 1634, 689, 519, 31970, 267, 3026, 582, 7211, 267, 543, 3851, 22057, 4525, 269, 16840, 540, 519, 1920, 1297, 936, 476, 736, 4330, 2249, 538, 1614, 25281, 269, 1703, 568, 606, 3606, 8093, 12593, 6185, 4592, 32166, 454, 291, 4592, 32166, 20465, 568, 513, 12593, 540, 13733, 267, 10362, 547, 519, 1920, 667, 4592, 17232, 13160, 267, 4171, 2818, 616, 1419, 1572, 834, 20791, 4829, 13733, 257, 610, 630, 1652, 4749, 264, 533, 558, 864, 13733, 267, 16693, 13733, 267, 610, 9174, 13733, 267, 513, 4704, 547, 519, 8984, 540, 1082, 2249, 547, 561, 5424, 1472, 936, 686, 701, 610, 4232, 1154, 4829, 269, 1358, 1058, 711, 581, 11821, 609, 519, 570, 32397, 761, 13160, 267, 513, 1644, 1920, 267, 799, 616, 849, 1572, 4829, 13733, 630, 27271, 5219, 547, 607, 834, 25152, 4829, 13733, 257, 5148, 751, 874, 761, 1749, 3049, 5097, 593, 796, 686, 701, 610, 22691, 4829, 267, 609, 1082, 2249, 1373, 9833, 607, 16160, 6694, 10860, 267, 2523, 519, 11335, 4829, 8038, 269, 2290, 2249, 540, 667, 4592, 32166, 538, 1880, 267, 667, 269, 14264, 690, 2120, 267, 814, 1044, 8185, 1031, 538, 1382, 538, 11976, 543, 568, 513, 1455, 2203, 11248, 538, 11095, 7350, 269, 634, 2474, 834, 26258, 8038, 257, 543, 834, 291, 4592, 32166, 257, 616, 1419, 1031, 28395, 3585, 609, 667, 269, 14264, 690, 2120, 538, 2413, 6211, 3332, 269, 634, 3003, 12593, 267, 2705, 267, 3568, 811, 982, 476, 272, 267, 4335, 2249, 543, 568, 1360, 3309, 538, 5920, 267, 2623, 267, 543, 9960, 7226, 6185, 4592, 32166, 630, 11357, 2102, 639, 994, 291, 4592, 32166, 568, 513, 1612, 777, 1506, 2280, 545, 24848, 639, 540, 519, 12593, 667, 4592, 32166, 267, 513, 8760, 540, 4829, 13733, 269, 901, 24848, 639, 729, 1101, 4330, 676, 21238, 853, 584, 974, 2779, 538, 476, 4350, 280, 6185, 4592, 32166, 26816, 2967, 18424, 454, 291, 4592, 32166, 26816, 2967, 18424, 729, 513, 2249, 540, 8038, 538, 1920, 667, 4592, 17232, 13160, 602, 729, 21049, 547, 16127, 269, 898, 5030, 593, 700, 5953, 3534, 390, 375, 328, 267, 543, 7654, 593, 744, 390, 375, 24660, 6185, 4592, 32166, 14264, 690, 2120, 2249, 1895, 454, 763, 667, 4592, 32166, 14264, 690, 2120, 2249, 1895, 12851, 547, 519, 24848, 639, 20153, 641, 1817, 320, 543, 3568, 476, 1015, 1016, 25364, 269, 634, 18105, 4094, 344, 538, 713, 2249, 1895, 568, 14605, 1634, 5103, 1082, 2090, 8720, 1082, 540, 519, 2249, 1016, 25364, 269, 634, 1034, 2693, 7778, 568, 602, 519, 1585, 1016, 25364, 11651, 1540, 689, 1142, 824, 538, 513, 3448, 2110, 12105, 942, 7406, 269, 8422, 1016, 25364, 723, 711, 2943, 1044, 11567, 538, 7636, 2090, 267, 543, 741, 2990, 538, 519, 18105, 4094, 344, 568, 15458, 269, 634, 647, 345, 4157, 4512, 32299, 568, 1612, 777, 1506, 2280, 545, 607, 667, 269, 23058, 760, 12447, 568, 18928, 5116, 1369, 519, 1605, 7540, 32299, 563, 291, 269, 7202, 10306, 1092, 2249, 32299, 454, 291, 269, 1605, 7540, 2249, 32299, 454, 291, 269, 552, 1872, 2350, 18442, 2249, 32299, 454, 291, 269, 535, 16307, 874, 10042, 2249, 32299, 454, 291, 269, 7657, 2129, 597, 3279, 2249, 32299, 454, 291, 269, 1279, 1170, 9874, 2249, 32299, 454, 291, 269, 14264, 690, 2120, 2249, 32299, 454, 291, 269, 678, 7749, 531, 10394, 2249, 32299, 454, 291, 269, 647, 345, 4157, 4512, 2249, 32299, 454, 291, 269, 512, 752, 1695, 1662, 4512, 2249, 32299, 291, 4592, 32166, 1086, 574, 18442, 454, 291, 4592, 32166, 1086, 574, 18442, 568, 513, 2249, 540, 4829, 8038, 602, 568, 513, 11078, 2249, 547, 667, 269, 29660, 984, 2675, 3120, 267, 543, 729, 835, 540, 476, 1321, 4829, 12187, 25450, 3524, 10642, 585, 513, 1804, 13354, 1353, 6185, 4592, 17232, 2088, 324, 454, 763, 667, 4592, 17232, 2088, 324, 616, 519, 4102, 1016, 26967, 538, 519, 667, 4592, 17232, 13160, 269, 634, 824, 1016, 26967, 568, 519, 853, 1122, 534, 2088, 324, 9950, 874, 11770, 5090, 2801, 454, 292, 874, 11770, 5090, 2801, 630, 17060, 8038, 267, 3006, 1490, 710, 8038, 264, 568, 513, 1920, 540, 7786, 538, 519, 1931, 667, 760, 614, 320, 563, 4537, 648, 13733, 616, 6263, 13733, 602, 666, 581, 1336, 2282, 694, 1662, 2803, 610, 693, 4130, 24654, 7297, 267, 971, 607, 22253, 269, 6168, 476, 273, 267, 1822, 2249, 723, 1044, 4330, 5001, 267, 1519, 744, 577, 1492, 571, 563, 763, 19386, 8038, 267, 4477, 2801, 3912, 807, 4620, 14337, 328, 267, 568, 519, 1152, 1634, 5521, 4171, 16793, 2661, 538, 6923, 9648, 19020, 19386, 269, 6271, 8037, 2249, 568, 661 ]

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

[ 948, 563, 279, 17828, 9315, 10632, 585, 18014, 619, 454, 5629, 707, 9251, 518, 4991, 519, 13793, 540, 513, 3556, 3014, 267, 789, 1522, 711, 1616, 547, 3247, 2336, 24426, 828, 8881, 585, 18014, 619, 454, 30395, 513, 2318, 2078, 609, 3059, 3457, 543, 1305, 707, 1126, 909, 585, 2922, 6880, 1967, 563, 23530, 3590, 585, 8866, 910, 9752, 519, 9891, 3590, 454, 5938, 778, 707, 3214, 519, 9238, 540, 519, 3859, 1062, 267, 609, 891, 4388, 267, 5013, 267, 543, 2238, 269, 0, 16085, 2133, 1399, 1475, 8447, 4915, 543, 14317, 11406, 288, 577, 14792, 536, 2720, 4345, 568, 536, 2720, 4345, 630, 514, 25691, 540, 861, 2617, 658, 5485, 264, 540, 536, 2720, 320, 13883, 1657, 519, 24450, 540, 25688, 547, 18287, 2033, 639, 20193, 2164, 689, 936, 2224, 543, 9849, 540, 9395, 10887, 563, 289, 1461, 5735, 568, 519, 7936, 543, 20614, 540, 7350, 602, 2090, 519, 19916, 267, 14498, 267, 11976, 543, 1979, 17190, 540, 4551, 607, 1134, 607, 1082, 824, 3344, 1644, 547, 873, 269, 901, 30834, 1707, 540, 8762, 5735, 3322, 519, 8446, 267, 8760, 267, 543, 18572, 540, 9190, 2249, 269, 5221, 540, 519, 16726, 540, 3206, 543, 2324, 609, 14471, 824, 982, 4551, 267, 971, 607, 1486, 9926, 10394, 267, 13271, 267, 543, 8290, 267, 972, 814, 1044, 513, 12402, 585, 519, 2361, 540, 3566, 5735, 547, 8831, 607, 8762, 5735, 269, 634, 2474, 941, 19497, 1419, 1031, 30430, 269, 1717, 267, 3566, 5735, 666, 581, 9286, 607, 513, 3982, 2257, 563, 13312, 14007, 8364, 321, 600, 8872, 630, 291, 4488, 264, 568, 513, 6646, 1031, 538, 519, 2126, 540, 2083, 926, 12118, 1519, 30754, 2083, 926, 12118, 267, 9341, 17422, 552, 28009, 17232, 807, 267, 543, 3138, 15633, 269, 898, 949, 849, 581, 1031, 585, 6604, 540, 3138, 15633, 538, 1346, 693, 1164, 1981, 269, 2755, 621, 814, 1044, 1031, 585, 593, 577, 665, 518, 857, 12118, 267, 1775, 591, 332, 24514, 568, 9053, 269, 898, 568, 3144, 676, 5023, 563, 288, 536, 684, 542, 267, 849, 1634, 607, 10689, 5060, 1130, 326, 639, 267, 568, 513, 22775, 640, 540, 519, 4745, 8220, 519, 2462, 23179, 547, 519, 3723, 269, 634, 2462, 23179, 1419, 536, 1742, 2509, 519, 824, 19462, 543, 519, 4745, 3587, 2699, 543, 11213, 269, 634, 12614, 540, 536, 684, 687, 568, 3335, 16795, 269, 1290, 4124, 949, 1331, 536, 2720, 4345, 610, 12263, 563, 763, 31456, 25688, 610, 24933, 10260, 267, 849, 1634, 607, 519, 18287, 2033, 531, 25688, 267, 568, 513, 25688, 693, 519, 1394, 540, 519, 2539, 1850, 267, 543, 568, 519, 5394, 652, 538, 519, 1480, 1560, 269, 898, 5713, 547, 8936, 519, 2030, 30213, 267, 8819, 10635, 26937, 3780, 630, 322, 2788, 264, 543, 6852, 639, 6091, 547, 519, 18287, 2033, 639, 630, 31856, 264, 5642, 269, 1452, 6091, 267, 9117, 3842, 519, 25688, 267, 2014, 2030, 541, 4827, 542, 540, 519, 3723, 693, 519, 21721, 4745, 267, 543, 4827, 542, 693, 519, 12597, 563, 301, 777, 6918, 523, 267, 4421, 896, 519, 6216, 2012, 22176, 557, 1851, 1866, 267, 568, 513, 1875, 3122, 18042, 4550, 13611, 3075, 630, 301, 6347, 2839, 264, 1031, 547, 1521, 1928, 267, 18492, 25574, 267, 12982, 3676, 971, 607, 27131, 12263, 267, 543, 8611, 269, 898, 568, 3144, 30375, 269, 898, 568, 2139, 538, 7525, 543, 16607, 5305, 30422, 269, 744, 985, 564, 540, 2360, 568, 1369, 606, 5662, 543, 2063, 585, 909, 547, 12964, 3108, 563, 289, 2720, 4345, 568, 519, 6553, 540, 835, 610, 811, 536, 2720, 2801, 540, 861, 2617, 658, 5714, 538, 519, 1560, 269, 1358, 616, 20898, 609, 513, 861, 2617, 658, 9245, 602, 5728, 525, 513, 19149, 908, 861, 2617, 658, 5714, 269, 1703, 616, 811, 982, 476, 5611, 536, 2720, 2801, 538, 519, 1480, 1560, 269, 634, 536, 2720, 2801, 1964, 693, 519, 2798, 1141, 4835, 1599, 2456, 267, 971, 607, 6091, 543, 28844, 267, 13472, 2066, 5642, 269, 13245, 536, 2720, 2801, 1711, 513, 5347, 267, 3592, 11508, 1652, 6198, 1350, 4575, 2627, 1818, 3339, 3350, 1928, 1652, 269, 1879, 536, 2720, 4345, 4386, 267, 2705, 267, 3350, 13461, 593, 519, 28332, 536, 2720, 320, 3587, 2352, 543, 11213, 269, 5047, 267, 3350, 540, 28844, 543, 6091, 936, 519, 28332, 536, 2720, 320, 24395, 919, 922, 6553, 267, 31328, 519, 1966, 269, 26298, 666, 849, 581, 13888, 2989, 563, 301, 7002, 667, 269, 4446, 333, 731, 568, 606, 1977, 2278, 267, 4791, 11001, 267, 543, 15713, 7022, 540, 519, 4284, 5974, 9730, 585, 13786, 1043, 6925, 630, 303, 10135, 300, 1916, 290, 1030, 531, 1410, 514, 267, 849, 25250, 524, 31525, 1410, 514, 267, 568, 606, 15084, 602, 666, 1521, 513, 1297, 540, 9190, 5563, 269, 898, 19754, 6121, 25698, 543, 930, 6121, 24308, 4551, 676, 27200, 519, 2208, 540, 519, 9190, 1591, 3774, 269, 595, 1030, 531, 1410, 514, 568, 513, 12498, 2000, 716, 600, 15084, 1369, 519, 1362, 540, 1101, 22831, 524, 31525, 30950, 1231, 269, 898, 1568, 13974, 547, 824, 8069, 1369, 713, 1362, 267, 1519, 32326, 524, 1030, 1794, 22223, 267, 855, 666, 581, 3144, 676, 5023, 563, 7093, 6312, 15362, 536, 2720, 4345, 568, 606, 6553, 540, 519, 3341, 520, 15362, 536, 2720, 320, 693, 519, 4395, 540, 519, 12597, 269, 898, 568, 6825, 676, 11926, 693, 519, 12597, 267, 799, 666, 581, 13035, 547, 519, 5905, 543, 799, 3622, 1281, 711, 6615, 519, 12597, 781, 2039, 540, 5163, 269, 898, 666, 581, 5393, 11213, 543, 771, 29058, 607, 1279, 607, 519, 5817, 2783, 26251, 563, 302, 548, 322, 3757, 517, 536, 2720, 4345, 568, 513, 2783, 6353, 676, 11926, 267, 25017, 267, 543, 1928, 693, 519, 9133, 540, 519, 23969, 269, 1403, 519, 5817, 2014, 568, 1813, 547, 606, 3968, 267, 8611, 949, 581, 1459, 269, 634, 2783, 568, 5266, 1455, 543, 568, 835, 540, 519, 1034, 7928, 2010, 540, 536, 2720, 4345, 563, 8138, 659, 668, 658, 536, 2720, 4345, 568, 513, 2783, 3361, 676, 6553, 540, 519, 536, 2720, 320, 602, 24508, 519, 9120, 2627, 540, 519, 647, 1440, 5684, 514, 9850, 25688, 689, 519, 936, 2391, 1351, 23147, 14092, 668, 658, 30301, 267, 1035, 668, 542, 267, 543, 1351, 659, 1355, 543, 689, 519, 2620, 2627, 540, 519, 1642, 339, 1355, 4887, 269, 634, 1016, 659, 668, 658, 536, 2720, 320, 2337, 519, 5163, 540, 519, 647, 1440, 5684, 514, 9850, 25688, 540, 519, 4232, 1807, 524, 4428, 538, 2238, 971, 607, 16841, 960, 563, 303, 525, 20735, 518, 19434, 4016, 547, 519, 8580, 334, 1441, 28844, 540, 1614, 6091, 602, 7696, 5196, 519, 606, 614, 15701, 658, 2627, 540, 519, 9938, 2711, 512, 28992, 269, 634, 6091, 616, 519, 521, 691, 528, 3780, 267, 1178, 4290, 529, 543, 5033, 527, 754, 16394, 639, 3006, 5219, 547, 607, 519, 18560, 887, 6647, 269, 634, 2012, 834, 2998, 846, 3723, 257, 14340, 689, 519, 1614, 17376, 784, 539, 6073, 538, 799, 519, 8580, 334, 1441, 25688, 7696, 338, 5196, 519, 512, 28992, 563, 14813, 1905, 520, 15362, 536, 2720, 4345, 568, 6553, 540, 519, 21603, 610, 2620, 1102, 1905, 520, 15362, 536, 2720, 320, 269, 12580, 949, 1331, 12597, 1928, 267, 11926, 267, 543, 25017, 1175, 2630, 519, 9054, 1815, 777, 269, 898, 949, 581, 7294, 676, 1273, 15362, 25688, 4345, 563, 27802, 21114, 18041, 2867, 26952, 616, 513, 1362, 540, 7135, 1759, 2390, 519, 18041, 2867, 8533, 2497, 282, 621, 2882, 782, 12045, 7135, 799, 616, 4646, 676, 13868, 267, 610, 2655, 23082, 267, 835, 610, 811, 7250, 8444, 538, 519, 18041, 2867, 8533, 4295, 2497, 609, 2655, 15856, 757, 269, 634, 7135, 538, 713, 1362, 12732, 513, 3099, 540, 14278, 1670, 1016, 5035, 525, 267, 1519, 8102, 1218, 267, 26003, 11077, 267, 543, 26390, 514, 11077, 267, 1851, 1866, 269, 6201, 540, 2655, 21114, 18041, 2867, 26952, 616, 18041, 2867, 8533, 630, 527, 1345, 1070, 8715, 2086, 2867, 8533, 267, 3134, 1117, 9068, 267, 18216, 514, 821, 267, 4307, 3410, 710, 267, 544, 788, 1156, 3410, 710, 267, 1207, 335, 1886, 542, 267, 8715, 2135, 2988, 1156, 8533, 267, 694, 5586, 559, 710, 267, 993, 325, 788, 1090, 821, 267, 7510, 549, 1998, 518, 821, 267, 11022, 7246, 630, 1815, 560, 6470, 1070, 543, 667, 6865, 630, 4306, 303, 1916, 303, 525, 20735, 518, 710, 536, 2720, 4345, 568, 606, 12982, 2783, 540, 519, 31443, 630, 27903, 264, 12597, 693, 519, 20735, 518, 710, 536, 2720, 320, 267, 513, 1016, 16757, 536, 2720, 320, 267, 1175, 2630, 519, 26240, 20735, 518, 19434, 563, 298, 26234, 1928, 568, 1928, 538, 610, 1472, 519, 12597, 563, 9773, 6900, 536, 2720, 4345, 4016, 547, 7513, 12074, 1369, 519, 536, 2720, 2801, 269, 901, 1034, 4386, 538, 519, 13105, 1858, 269, 634, 1034, 1455, 536, 2720, 320, 585, 1608, 6900, 536, 2720, 4345, 547, 2049, 568, 519, 1016, 659, 668, 658, 536, 2720, 320, 269, 589, 536, 2720, 320, 568, 513, 1507, 267, 5714, 23752, 5485, 602, 6971, 11508, 267, 543, 16881, 5322, 1063, 922, 11105, 8031, 269, 769, 25691, 540, 519, 536, 2720, 2801, 568, 1572, 536, 2720, 4345, 563, 14303, 20934, 322, 2033, 531, 536, 2720, 4345, 568, 606, 6553, 540, 519, 536, 2720, 320, 4092, 1063, 519, 18287, 2033, 639, 543, 519, 18751, 2627, 540, 519, 31456, 25688, 269, 898, 4122, 4386, 538, 7681, 609, 27131, 12263, 267, 838, 1180, 2643, 23537, 6605, 987, 625, 267, 30456, 267, 543, 8194, 563, 3674, 577, 658, 536, 2720, 4345, 568, 6553, 540, 519, 861, 2617, 658, 536, 2720, 320, 4092, 1063, 1350, 1393, 639, 12366, 639, 4887, 543, 568, 577, 658, 16321, 13920, 563, 296, 2993, 641, 810, 553, 536, 2720, 4345, 568, 6553, 540, 513, 536, 2720, 320, 14084, 1063, 476, 8270, 641, 810, 553, 4887, 543, 12048, 4745, 267, 14694, 547, 3185, 7394, 8043, 269, 10266, 568, 4810, 936, 519, 1482, 1858, 543, 1500, 8338, 676, 10137, 540, 12048, 4745, 269, 0, 718, 28375, 910, 12791, 538, 19446, 454, 30547, 540, 782, 28375, 538, 19446, 454, 268, 519, 12136, 540, 519, 1482, 4484, 610, 3280, 693, 519, 4098, 540, 11105, 610, 5702, 4448, 1913, 269, 630, 7162, 484, 28637, 23547, 11695, 357, 7162, 363, 11111, 7162, 357, 18028, 499, 2633, 509, 29334, 17775, 7162, 506, 27758, 2633, 350, 2633, 376, 17775, 7162, 370, 2633, 361, 11695, 355, 26498, 23517, 21999, 21005, 7162, 370, 27758, 18892, 27758, 2633, 484, 23371, 7162, 362, 17775, 23517, 7162, 493, 24691, 32172, 21005, 7162, 483, 24691, 11695, 371, 18892, 7162, 363, 11111, 7162, 356, 11695, 369, 23547, 16284, 21999, 21005, 7162, 502, 2633, 509, 23547, 11111, 5936, 353, 12467, 268, 4173, 26227, 4971, 540, 22565, 267, 11281, 267, 17279, 267, 543, 782, 28375, 593, 2048, 305, 12976, 14576, 685, 30347, 2757, 12563, 27825, 269, 630, 21999, 2633, 369, 18028, 353, 11111, 267, 7162, 362, 21005, 2633, 509, 18892, 267, 7162, 359, 27758, 23547, 18892, 14098, 369, 5936, 481, 23371, 11695, 353, 16284, 267, 7162, 498, 18892, 19962, 7162, 364, 26498, 2633, 485, 23517, 2633, 501, 29334, 5936, 487, 23547, 11695, 501, 11313, 24691, 17775, 7162, 359, 31073, 23371, 18028, 355, 11695, 369, 23517, 2633, 355, 11695, 369, 18028, 363, 26498, 23517, 21999, 17775, 7162, 359, 14098, 364, 23517, 2633, 359, 18892, 18028, 499, 29334, 23517, 2633, 501, 21005, 23371, 21999, 11695, 366, 14098, 372, 18028, 499, 11695, 372, 7162, 359, 18892, 7162, 487, 28637, 24691, 21005, 7162, 504, 27758, 28637, 11695, 353, 21999, 28440, 14098, 357, 5936, 353, 12467, 268, 19549, 569, 267, 972, 568, 513, 11029, 267, 855, 3532, 782, 28375, 538, 519, 8772, 1899, 540, 519, 2034, 588, 23393, 267, 2048, 8649, 573, 560, 606, 5836, 2407, 540, 10760, 24991, 9957, 630, 7162, 504, 5936, 490, 2633, 354, 21005, 7162, 361, 14098, 353, 267, 7162, 355, 5936, 480, 28637, 18892, 21005, 7162, 361, 14098, 364, 21999, 21005, 7162, 504, 5936, 490, 2633, 354, 21005, 7162, 359, 23517, 24691, 11695, 353, 16284, 7162, 362, 17775, 23517, 7162, 493, 24691, 29334, 5936, 480, 24691, 11695, 371, 11695, 362, 267, 7162, 366, 17775, 24691, 18028, 357, 7162, 370, 24691, 11695, 353, 18028, 370, 14098, 366, 21005, 7162, 501, 2633, 510, 2633, 506, 26498, 2633, 350, 2633, 376, 32172, 5936, 486, 267, 1412, 2633, 487, 2633, 350, 2633, 376, 23371, 21005, 7162, 362, 2633, 505, 2633, 366, 18028, 363, 26498, 23517, 29334, 17775, 7162, 511, 18892, 11111, 7162, 493, 24691, 7162, 362, 2633, 373, 14098, 372, 14098, 501, 18892, 262, 5936, 353, 12467, 268, 12465 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2582, 476, 1428, 288, 5547, 543, 1869, 581, 3009, 24255, 563, 4692, 594, 5372, 513, 476, 1428, 18041, 30517, 609, 513, 476, 736, 18041, 30517, 888, 763, 2626, 281, 898, 779, 2009, 267, 855, 711, 19624, 1510, 606, 3167, 1014, 10442, 519, 3510, 269, 1411, 1058, 2760, 1175, 22010, 689, 513, 476, 1428, 268, 2086, 30517, 547, 513, 476, 736, 268, 2086, 835, 1175, 1317, 519, 1699, 835, 568, 2468, 6137, 269, 19227, 267, 596, 949, 6633, 707, 2777, 1524, 3842, 5122, 3595, 269, 0, 5472, 621, 3568, 568, 707, 2063, 2012, 543, 519, 2985, 1297, 269, 596, 1152, 991, 547, 1331, 519, 1018, 568, 513, 2110, 1557, 3898, 2278, 779, 2063, 2012, 543, 519, 2985, 1297, 540, 519, 1257, 538, 23049, 269, 3388, 596, 13712, 606, 1557, 991, 547, 917, 543, 811, 269, 949, 476, 866, 267, 476, 1001, 280, 5788, 519, 4808, 585, 19696, 606, 1557, 538, 15986, 3898, 616, 2147, 547, 1346, 585, 19696, 513, 3184, 538, 513, 15986, 1557, 11239, 3898, 1433, 269, 950, 1966, 6061, 1565, 1603, 606, 875, 547, 2328, 606, 12819, 4484, 15986, 3898, 1557, 610, 15986, 1557, 11239, 3898, 824, 1957, 267, 1053, 616, 2838, 547, 1246, 1808, 2511, 4170, 15986, 1557, 3898, 15986, 11249, 2511, 4214, 269, 3332, 2689, 5098, 1383, 3388, 596, 991, 547, 917, 4876, 6859, 1557, 543, 811, 269, 519, 1079, 30856, 2959, 585, 875, 547, 8415, 543, 13712, 538, 15986, 5265, 616, 15986, 25156, 585, 5830, 540, 1382, 4574, 630, 476, 277, 628, 1196, 4700, 26612, 713, 568, 519, 2698, 10189, 950, 621, 2501, 547, 15986, 1382, 11556, 538, 8808, 3898, 269, 538, 17856, 14327, 543, 15986, 1557, 11239, 3898, 1568, 11855, 269, 476, 276, 270, 276, 4358, 707, 1378, 2680, 4058, 1870, 2565, 3206, 543, 5876, 630, 272, 264, 15986, 3898, 11239, 15545, 0, 288, 1032, 593, 281, 8241, 23967, 21987, 454, 10387, 2742, 23846, 3217, 513, 2673, 1413, 693, 875, 519, 8241, 23967, 602, 3576, 1747, 2063, 1032, 723, 4299, 9265, 454, 4407, 513, 1032, 3516, 538, 519, 5177, 649, 2879, 10212, 1194, 909, 1472, 938, 3595, 17541, 543, 3141, 330, 883, 519, 865, 17304, 547, 4585, 8285, 2027, 338, 267, 593, 519, 824, 2427, 540, 519, 8608, 7366, 540, 23967, 986, 3022, 2066, 5245, 267, 1085, 18732, 922, 7320, 563, 8310, 1032, 2594, 31771, 5210, 543, 4049, 10980, 2175, 8034, 8215, 513, 3126, 540, 7372, 17382, 18394, 2066, 5245, 269, 3767, 267, 513, 1032, 1310, 519, 2063, 3595, 729, 24773, 1639, 267, 519, 1764, 593, 9265, 568, 4742, 20406, 811, 7805, 269, 1306, 1082, 607, 1614, 5479, 1367, 11864, 267, 5017, 267, 20641, 543, 20883, 5747, 610, 941, 19774, 1282, 519, 11642, 269, 2859, 982, 476, 736, 2600, 540, 5245, 779, 3003, 4104, 3382, 729, 23542, 1639, 676, 519, 11642, 2687, 547, 513, 476, 1708, 271, 2079, 538, 7186, 8693, 7827, 269, 3683, 476, 4335, 2249, 949, 1631, 581, 13155, 610, 1256, 17255, 1813, 547, 891, 2067, 12469, 269, 4634, 538, 519, 2680, 602, 519, 2371, 543, 2831, 15068, 519, 10969, 566, 540, 519, 11642, 267, 741, 9249, 949, 723, 22734, 1689, 547, 971, 606, 6708, 602, 741, 6668, 568, 2322, 693, 1981, 563, 7021, 476, 4335, 2249, 949, 1631, 581, 13155, 610, 1256, 17255, 1813, 547, 891, 2067, 12469, 563, 763, 8241, 2229, 13166, 17019, 519, 14486, 540, 476, 1724, 21049, 2249, 2094, 3864, 19525, 267, 1519, 1079, 2249, 4503, 538, 519, 2063, 8717, 269, 634, 8242, 1592, 1797, 602, 4557, 2600, 540, 2244, 11864, 1634, 547, 723, 5030, 538, 5245, 2094, 476, 9965, 279, 616, 1631, 17255, 269, 1452, 23937, 723, 19876, 5245, 883, 519, 9265, 3905, 10160, 607, 519, 1158, 779, 3854, 585, 25850, 14486, 267, 835, 5198, 596, 798, 711, 1616, 547, 3094, 2336, 763, 32748, 8403, 267, 1373, 513, 10178, 19463, 267, 814, 1831, 513, 17122, 1448, 585, 3486, 6161, 269, 589, 1867, 689, 519, 13431, 293, 5245, 11943, 602, 5111, 476, 2568, 267, 1822, 540, 513, 2551, 540, 10199, 476, 20065, 267, 1822, 32748, 531, 553, 941, 7166, 538, 519, 11642, 269, 1733, 12241, 972, 568, 1100, 27102, 602, 891, 11537, 2831, 723, 11124, 30140, 267, 519, 6574, 1764, 568, 4397, 547, 581, 1336, 538, 824, 2249, 602, 1491, 513, 1394, 572, 520, 538, 519, 2923, 267, 971, 607, 29068, 543, 2371, 563, 288, 1867, 689, 519, 13431, 293, 5245, 11943, 602, 5111, 476, 2568, 267, 1822, 540, 513, 2551, 540, 10199, 476, 20065, 267, 1822, 32748, 531, 553, 941, 7166, 538, 519, 11642, 563, 21938, 4718, 811, 982, 476, 1911, 27563, 10442, 519, 1840, 540, 476, 23056, 8241, 29068, 547, 519, 4139, 5742, 585, 519, 11094, 540, 7186, 779, 4414, 5903, 269, 1358, 11943, 476, 3066, 2249, 538, 1715, 3162, 12986, 1185, 741, 3003, 3110, 3386, 2039, 14616, 543, 1776, 476, 5379, 4503, 693, 2547, 3368, 540, 741, 1634, 9249, 547, 519, 11642, 563, 2005, 568, 711, 1175, 519, 26428, 2933, 602, 616, 5906, 547, 5245, 779, 18508, 543, 21426, 267, 519, 18534, 9464, 1604, 1739, 519, 11642, 2488, 3606, 17613, 269, 8693, 1689, 814, 2799, 519, 4908, 543, 8515, 540, 891, 11642, 267, 2495, 602, 1256, 519, 2249, 602, 7048, 593, 3595, 971, 607, 552, 32023, 4054, 616, 693, 1981, 540, 1373, 4503, 689, 519, 5117, 563, 2005, 779, 711, 782, 798, 558, 543, 1350, 7112, 1498, 282, 972, 616, 1869, 1350, 9404, 619, 540, 4126, 256, 8241, 18508, 568, 26526, 14388, 543, 3173, 538, 519, 2361, 616, 4466, 20344, 538, 6397, 4025, 269, 2290, 1383, 568, 519, 918, 30865, 5622, 6816, 546, 18365, 11301, 799, 723, 535, 1563, 1454, 1732, 982, 824, 2831, 267, 17729, 593, 8254, 20637, 2066, 519, 6532, 563, 4322, 2621, 1397, 519, 23473, 609, 799, 2916, 1689, 2115, 547, 581, 9619, 267, 798, 649, 2731, 1616, 547, 581, 3743, 585, 519, 14486, 540, 938, 3529, 3620, 19982, 2828, 519, 32748, 531, 553, 286, 0, 2704, 828, 3279, 2657, 7896, 568, 22348, 1004, 602, 741, 1655, 4027, 1996, 4639, 20407, 568, 547, 2057, 1373, 3787, 1084, 676, 19498, 7357, 563, 2108, 5278, 19498, 4163, 4639, 20407, 3644, 2223, 589, 9391, 6481, 20229, 540, 2657, 3220, 269, 1744, 984, 327, 527, 3057, 583, 328, 1767, 11728, 269, 968, 4415, 4598, 547, 19498, 2501, 1981, 540, 4639, 20407, 3644, 3034, 4002, 11728, 267, 519, 1072, 8116, 6035, 930, 4388, 593, 31364, 3054, 689, 17486, 950, 596, 2461, 3544, 912, 268, 23203, 513, 1279, 1606, 23932, 1386, 267, 1769, 12258, 10696, 25099, 267, 27890, 543, 513, 11058, 454, 268, 2422, 606, 9516, 5521, 28084, 550, 630, 324, 3052, 269, 2472, 5627, 16692, 4953, 610, 594, 8364, 573, 514, 994, 268, 6333, 9363, 16280, 693, 21554, 543, 546, 23677, 950, 19498, 616, 1034, 3742, 454, 2108, 4322, 3268, 666, 1118, 621, 9875, 585, 19498, 547, 1265, 596, 2223, 3057, 583, 328, 1767, 563, 28490, 19498, 666, 1406, 1265, 596, 267, 789, 666, 1406, 11116, 596, 3034, 5475, 1373, 3787, 1084, 676, 513, 18151, 8876, 4639, 20407, 3644, 267, 3425, 666, 1020, 4639, 20407, 1875, 16250, 9951, 673, 6794, 610, 519, 811, 3978, 4639, 20407, 14715, 6794, 563, 21618, 540, 519, 1875, 16250, 9951, 673, 6794, 666, 1331, 8611, 267, 669, 1571, 267, 15353, 267, 13481, 267, 9854, 267, 2960, 16420, 267, 22224, 15374, 543, 15677, 269, 12580, 540, 519, 14715, 6794, 666, 1331, 12152, 832, 267, 546, 4900, 1465, 267, 10539, 267, 24948, 2042, 267, 1164, 8611, 267, 17499, 1145, 267, 26900, 543, 1256, 2669, 563, 5804, 476, 1220, 274, 547, 476, 1001, 279, 267, 476, 276, 3953, 2665, 540, 4639, 20407, 3644, 941, 9672, 538, 22598, 267, 1082, 540, 799, 941, 9715, 538, 519, 11662, 543, 711, 2951, 5829, 269, 2986, 782, 540, 891, 2665, 267, 476, 3393, 279, 941, 1875, 16250, 9951, 673, 6794, 269, 0, 763, 7459, 543, 4093, 538, 519, 5571, 5046, 268, 866, 6855, 616, 3810, 9867, 269, 634, 2068, 543, 519, 7459, 1312, 20818, 3790, 543, 2800, 593, 2486, 269, 2368, 7459, 609, 3226, 1164, 3790, 949, 1152, 581, 8045, 13713, 269, 634, 1374, 540, 6099, 3609, 3340, 7156, 540, 1082, 6304, 7653, 269, 769, 713, 1957, 649, 8495, 519, 6099, 12557, 540, 7459, 602, 616, 711, 4264, 585, 513, 1279, 1974, 269, 13018, 267, 649, 1413, 693, 693, 519, 1764, 540, 513, 2582, 2110, 3856, 1875, 3146, 701, 730, 6304, 630, 320, 968, 821, 6879, 582, 6304, 14615, 593, 606, 15435, 543, 2015, 519, 1764, 540, 519, 6304, 779, 12557, 269, 1677, 7413, 519, 2698, 1297, 7783, 267, 519, 6304, 1058, 1376, 2673, 547, 519, 8445, 865, 602, 972, 568, 8766, 6450, 895, 2899, 519, 6304, 568, 11074, 269, 1677, 6922, 1047, 519, 8445, 9860, 267, 621, 1058, 1376, 4505, 267, 3056, 547, 3355, 5786, 543, 1287, 2348, 513, 6450, 895, 547, 519, 1482, 9860, 607, 519, 840, 17942, 3685, 8445, 2864, 982, 835, 1360, 1804, 8445, 269, 1677, 8488, 5563, 607, 1454, 607, 2009, 630, 553, 1522, 581, 3617, 952, 649, 2503, 4824, 7459, 610, 5574, 547, 581, 2919, 1070, 4505, 7459, 723, 2312, 4324, 269, 769, 5095, 609, 3982, 1016, 25364, 267, 15222, 1242, 7459, 616, 1447, 2500, 982, 13389, 519, 7459, 538, 1142, 1016, 10919, 640, 14384, 563, 5278, 7459, 799, 948, 1852, 513, 10825, 15435, 723, 1713, 8801, 2360, 593, 519, 2551, 267, 543, 3112, 581, 9738, 1279, 3856, 269, 634, 6099, 12557, 540, 971, 606, 6304, 786, 4096, 593, 519, 10700, 3804, 563, 268, 3955, 6761, 547, 8488, 519, 15435, 1247, 1007, 5574, 610, 7459, 616, 2919, 616, 1655, 8045, 607, 4166, 607, 2009, 563, 268, 3955, 6761, 547, 7413, 519, 8445, 9860, 616, 1655, 8045, 851, 3118, 998, 519, 2208, 5123, 3850, 12046, 547, 1628, 909, 865, 602, 519, 22638, 6450, 895, 568, 711, 3677, 982, 519, 3355, 8445, 563, 268, 3955, 6761, 547, 7413, 519, 2698, 1297, 540, 5563, 616, 1655, 8045, 3735, 538, 519, 2208, 5123, 547, 7413, 519, 2179, 540, 6450, 895, 563, 2690, 513, 2551, 609, 1016, 10919, 885, 799, 1131, 723, 607, 2106, 28942, 17061, 267, 2147, 2164, 3180, 269, 3958, 267, 649, 1265, 602, 621, 568, 1655, 547, 3077, 519, 6304, 607, 2106, 11388, 3585, 547, 1142, 1016, 10919, 640, 2864, 982, 15222, 3585, 2066, 519, 2551, 563, 290, 2787, 281, 4144, 700, 879, 549, 674, 267, 918, 1170, 594, 313, 267, 16019, 808, 290, 630, 1708, 272, 264, 8838, 2711, 12557, 540, 835, 6879, 582, 7459, 585, 15435, 1852, 269, 12813, 24382, 6156, 22776, 476, 1704, 263, 274, 2567, 552, 1911, 9262, 277, 274, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 15389, 272, 10768, 16067, 4877, 322, 6798, 269, 1911, 9262, 277, 274, 454, 29394, 281, 1530, 30807, 1014, 674, 6064, 267, 5507, 3427, 540, 30719, 1299, 23427, 6925, 267, 6167, 3951, 3633, 918, 5058, 291, 6865, 454, 3725, 18727, 281, 2904, 476, 2537, 267, 476, 1708, 271, 282, 20504, 539, 281, 5988, 476, 273, 267, 476, 1708, 272, 282, 15618, 281, 4728, 476, 1240, 267, 476, 1708, 272, 454, 15648, 281, 9736, 476, 1708, 272, 4144, 700, 879, 549, 1696, 620, 269, 901, 568, 606, 1930, 1569, 2376, 7856, 896, 519, 2474, 540, 519, 11300, 12780, 21922, 17821, 267, 799, 14998, 19727, 24071, 946, 267, 3892, 267, 543, 12093, 538, 1022, 5420, 267, 3177, 519, 3312, 2278, 543, 2707, 616, 20295, 563, 10574, 2997, 22355, 281, 2353, 1239, 2838, 547, 16196, 519, 2164, 616, 3177, 538, 519, 12377, 269, 32492, 3009, 799, 786, 1685, 519, 4143, 13502, 666, 581, 1336, 693, 4179, 2517, 326, 603, 889, 2593, 22077, 323, 331, 2735, 280, 20081, 574, 532, 1993, 3080, 4537, 582, 11328, 6761, 563, 293, 27448, 281, 594, 313, 298, 543, 674, 291, 11760, 1489, 689, 519, 22676, 327, 592, 1889, 11565, 4179, 2517, 4178, 269, 548, 591, 327, 592, 1889, 28482, 16896, 270, 585, 519, 3194, 5741, 16827, 681, 22333, 268, 1001, 278, 268, 24907, 269, 808, 13967, 26342, 23492, 7616, 689, 5487, 18858, 2041, 2160, 4179, 2517, 4178, 7456, 520, 549, 2041, 12975, 28898, 28918, 634, 2508, 619, 1185, 1100, 1909, 538, 1353, 1374, 267, 1239, 4015, 543, 2079, 267, 3375, 547, 15476, 267, 610, 7041, 540, 519, 12377, 563, 4467, 7065, 532, 4690, 281, 634, 4589, 723, 10294, 602, 1100, 12721, 4690, 2291, 563, 763, 14118, 27833, 6855, 540, 476, 4489, 279, 729, 835, 540, 519, 4666, 31586, 8623, 12515, 540, 11763, 2068, 519, 1158, 814, 2479, 2938, 269, 769, 3210, 267, 1082, 4872, 5189, 7839, 7459, 5497, 547, 2569, 519, 3262, 269, 1703, 568, 2963, 476, 602, 930, 4872 ]

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

[ 1650, 594, 1810, 1406, 1616, 547, 723, 547, 4584, 909, 513, 17120, 610, 6552, 547, 2824, 1018, 779, 2469, 547, 4755, 1985, 269, 5272, 942, 519, 5304, 568, 2016, 519, 4781, 547, 1491, 513, 1007, 2619, 12462, 12304, 713, 7735, 5608, 968, 341, 1774, 593, 2473, 267, 962, 267, 2098, 14615, 519, 2239, 1765, 543, 21599, 1369, 602, 2239, 28934, 17303, 10300, 1540, 267, 543, 621, 3217, 519, 2247, 513, 1247, 547, 1205, 1394, 883, 713, 1533, 540, 21599, 563, 3725, 5562, 1543, 814, 519, 1761, 547, 8207, 891, 2152, 676, 7175, 12809, 2170, 2032, 20196, 568, 267, 3403, 543, 3977, 1510, 2348, 547, 23249, 543, 8362, 1118, 3664, 610, 4497, 609, 519, 8800, 269, 901, 786, 1267, 538, 11651, 3101, 267, 6422, 6386, 602, 786, 11200, 16900, 1247, 1373, 8200, 593, 543, 2189, 547, 519, 1808, 3593, 543, 741, 4664, 269, 10426, 633, 2170, 2032, 786, 849, 4894, 519, 3014, 1745, 602, 666, 1419, 581, 513, 10835, 540, 7317, 2833, 543, 2322, 513, 21951, 12341, 538, 519, 1647, 281, 1869, 16119, 1671, 935, 1027, 538, 606, 7317, 6422, 2239, 267, 855, 538, 513, 1454, 5705, 2401, 1259, 563, 4407, 2542, 519, 9253, 7534, 7097, 594, 729, 3226, 13351, 676, 513, 6429, 538, 799, 519, 3197, 1376, 547, 4497, 609, 519, 3593, 543, 972, 779, 513, 5348, 577, 3055, 640, 1063, 519, 3593, 779, 26470, 543, 3615, 538, 519, 5691, 1158, 269, 1306, 519, 2239, 7938, 785, 338, 543, 519, 1913, 540, 9253, 7534, 779, 1915, 1205, 811, 7096, 267, 2694, 540, 519, 5251, 267, 799, 8604, 547, 581, 1166, 4770, 543, 24421, 908, 693, 4351, 267, 2097, 1927, 543, 1376, 547, 17932, 519, 3593, 779, 26470, 563, 1103, 476, 1001, 274, 267, 13191, 1306, 335, 749, 540, 4911, 20377, 15570, 7219, 2160, 630, 20084, 264, 543, 700, 4157, 553, 1261, 11770, 5341, 540, 519, 18230, 8549, 4659, 540, 5303, 9863, 602, 513, 3593, 779, 2631, 540, 4527, 543, 8446, 609, 513, 5691, 1285, 20345, 1223, 581, 13497, 2799, 676, 5348, 1424, 519, 593, 1606, 10547, 1915, 609, 519, 26470, 540, 519, 3593, 269, 634, 2078, 1063, 6915, 1673, 580, 1388, 5348, 577, 3055, 640, 267, 21599, 267, 543, 3929, 6278, 568, 1945, 602, 786, 15983, 723, 12316, 2239, 543, 9423, 1761, 563, 15862, 15894, 281, 570, 603, 328, 13198, 611, 628, 784, 1315, 1744, 13616, 18450, 2593, 15566, 2542, 0, 13233, 1143, 568, 513, 2178, 2631, 540, 11348, 585, 835, 781, 2197, 269, 1452, 4606, 666, 581, 4547, 2390, 998, 513, 21318, 540, 1919, 269, 10801, 1686, 267, 28929, 5322, 723, 13175, 538, 1114, 2477, 782, 1472, 519, 1158, 269, 1358, 6913, 796, 2305, 267, 7115, 267, 543, 811, 11348, 269, 4014, 972, 941, 1082, 28929, 5322, 267, 1142, 540, 519, 2164, 28209, 563, 30051, 568, 1419, 9763, 607, 513, 1360, 3084, 2065, 2197, 269, 3509, 27272, 1004, 723, 1185, 11348, 585, 519, 2197, 602, 789, 1289, 1753, 269, 769, 519, 2038, 476, 5197, 271, 781, 972, 729, 1100, 3020, 834, 30051, 2668, 898, 729, 2965, 513, 4015, 540, 1507, 796, 10595, 1243, 2829, 602, 782, 12038, 4436, 267, 855, 941, 711, 513, 19618, 2197, 269, 4436, 18541, 17275, 950, 19167, 986, 3660, 3267, 1613, 1647, 540, 519, 3561, 2483, 3891, 1705, 1945, 602, 568, 1631, 1634, 607, 519, 834, 292, 916, 2598, 335, 2255, 2668, 645, 1143, 1046, 4957, 513, 751, 5586, 1090, 547, 10845, 5333, 676, 29780, 1202, 6699, 827, 519, 3943, 19264, 26513, 269, 4595, 519, 6165, 952, 18259, 729, 3810, 1825, 15344, 1282, 519, 942, 267, 1010, 7301, 751, 5586, 1090, 6368, 2322, 5333, 543, 2398, 17892, 547, 2112, 269, 2398, 17892, 1185, 513, 2656, 11802, 267, 543, 609, 713, 11802, 3357, 513, 4743, 540, 11348, 269, 645, 1143, 1046, 2919, 513, 1079, 2777, 23328, 269, 634, 5580, 2777, 729, 12912, 676, 9038, 540, 4436, 2829, 267, 543, 519, 2539, 2777, 3769, 782, 5256, 17037, 269, 634, 27272, 2829, 8087, 896, 918, 9820, 518, 5261, 594, 269, 2060, 713, 1007, 10504, 267, 5125, 2968, 513, 3056, 1909, 538, 519, 1272, 540, 2342, 1282, 519, 942, 269, 645, 1143, 1046, 543, 918, 9820, 518, 5261, 594, 6417, 519, 4436, 25415, 1927, 267, 6038, 30364, 713, 9241, 8087, 5125, 563, 30051, 2968, 513, 3056, 1379, 538, 2342, 585, 1082, 4128, 269, 2290, 540, 799, 1373, 602, 5125, 568, 2407, 540, 2067, 2200, 602, 519, 1158, 729, 3168, 585, 2094, 519, 11633, 7169, 269, 11635, 543, 15021, 941, 835, 540, 5125, 781, 1292, 18666, 799, 4547, 538, 513, 2603, 540, 5763, 547, 519, 2197, 269, 9521, 519, 824, 2477, 538, 2342, 971, 607, 4789, 543, 5333, 267, 5125, 1185, 513, 1360, 6131, 267, 5676, 1441, 543, 13473, 13781, 269, 5125, 5059, 593, 2069, 811, 982, 824, 2477, 267, 799, 6157, 28322, 5125, 538, 513, 2318, 1259, 269, 2060, 713, 2069, 267, 1732, 7189, 267, 3610, 267, 543, 14761, 3357, 856, 540, 5125, 269, 1677, 1118, 15327, 1732, 267, 3744, 5249, 1318, 538, 873, 547, 4137, 856, 875, 547, 1118, 873, 585, 3608, 269, 5125, 849, 2968, 513, 3056, 1379, 1317, 519, 2229, 729, 1360, 11215, 540, 519, 3527, 602, 27272, 1004, 941, 2921, 547, 2087, 519, 4567, 540, 519, 2197, 269, 19881, 10781, 540, 519, 5094, 2829, 941, 782, 4547, 1927, 547, 1118, 5125, 1256, 6793, 563, 2414, 1832, 5333, 4617, 267, 645, 1143, 1046, 1500, 16167, 609, 15231, 2477, 267, 15212, 543, 6576, 269, 1677, 1832, 1010, 10504, 2178, 267, 645, 1143, 1046, 1705, 711, 1450, 1022, 11685, 547, 1010, 3069, 540, 1483, 335, 7035, 1731, 799, 568, 1946, 646, 6098, 519, 23597, 269, 1261, 21787, 602, 1004, 540, 519, 7826, 5132, 1131, 581, 811, 10121, 547, 519, 28831, 982, 547, 645, 1143, 1046, 269, 1261, 1500, 4031, 12145, 3909, 3310, 855, 6038, 20483, 1524, 1317, 1004, 3323, 547, 2427, 609, 519, 5939, 269, 769, 25380, 1524, 267, 645, 1143, 1046, 6591, 1082, 811, 13794, 799, 729, 513, 1267, 540, 519, 3084, 2065, 3350, 563, 30051, 568, 711, 519, 1152, 2197, 602, 28322, 689, 18541, 269, 27425, 568, 2943, 1776, 2197, 602, 4957, 922, 4182, 609, 4606, 540, 11348, 269, 1703, 941, 1082, 3123, 602, 3366, 547, 513, 20951, 1014, 4838, 269, 20951, 1014, 1004, 941, 6854, 4057, 676, 519, 5053, 269, 634, 5824, 1977, 1004, 941, 13856, 676, 519, 5053, 2094, 519, 5736, 540, 519, 9518, 626, 611, 832, 269, 4746, 267, 519, 2037, 1260, 328, 12629, 1062, 3177, 606, 15490, 1514, 1362, 1062, 2919, 676, 519, 5053, 563, 4002, 519, 1283, 540, 519, 1514, 21117, 941, 519, 18686, 637, 269, 1452, 941, 1004, 945, 941, 4535, 538, 8050, 543, 13856, 1034, 540, 519, 1379, 538, 5824, 3013, 269, 8921, 3357, 519, 11511, 3421, 269, 11511, 3421, 941, 1004, 945, 941, 4535, 538, 5824, 3013, 547, 5053, 3237, 269, 9603, 547, 519, 1249, 602, 789, 941, 4535, 538, 5824, 1862, 0, 11403, 312, 570, 312, 14154, 13138, 23177, 19489, 300, 2207, 454, 291, 787, 1826, 22155, 568, 513, 11979, 3926, 799, 3085, 1406, 946, 3282, 607, 513, 3579, 656, 5420, 2864, 2842, 902, 616, 6854, 538, 3339, 2011, 538, 519, 26456, 269, 7046, 902, 616, 2016, 538, 519, 26456, 799, 2636, 2011, 547, 1780, 1498, 621, 799, 3579, 338, 519, 22155, 563, 6097, 547, 519, 1374, 540, 23090, 267, 972, 616, 1079, 2010, 540, 16959, 7392, 17992, 518, 1107, 513, 264, 10011, 18300, 1826, 630, 10135, 307, 264, 3819, 22155, 267, 536, 264, 28820, 10840, 2604, 791, 27389, 730, 630, 309, 18444, 264, 1826, 3819, 22155, 563, 288, 3819, 1826, 22155, 2874, 540, 1739, 2694, 1107, 290, 648, 267, 23090, 267, 10226, 23525, 267, 700, 307, 23525, 267, 21512, 17762, 267, 22153, 2718, 4216, 267, 8752, 940, 1488, 6135, 619, 3092, 563, 268, 11759, 1107, 763, 1292, 3252, 540, 4295, 568, 513, 264, 547, 1683, 13441, 3095, 720, 1063, 3119, 1299, 6281, 2842, 902, 1299, 536, 264, 1683, 1489, 547, 519, 2842, 902, 269, 6489, 902, 616, 15841, 593, 519, 4295, 269, 12729, 1299, 6281, 2842, 902, 616, 711, 30788, 4448, 855, 789, 616, 4448, 11275, 1227, 269, 11759, 568, 1500, 909, 10911, 294, 5308, 630, 290, 1245, 17029, 1194, 717, 1778, 18112, 5034, 28541, 264, 5374, 799, 2488, 1970, 6419, 2619, 585, 3608, 13441, 3095, 720, 269, 634, 3193, 13441, 5860, 540, 10911, 294, 5308, 5374, 568, 827, 476, 272, 269, 280, 23592, 563, 268, 6489, 902, 1107, 5565, 2842, 902, 616, 15841, 593, 519, 4295, 267, 519, 23090, 799, 568, 4448, 609, 3761, 4882, 1830, 568, 1572, 3119, 23090, 1299, 519, 824, 23090, 799, 568, 4448, 609, 4452, 568, 1572, 6281, 23090, 269, 4400, 610, 1970, 6453, 538, 6281, 23090, 5673, 593, 519, 1297, 540, 7140, 540, 23090, 593, 519, 4295, 269, 7089, 540, 7140, 811, 538, 6281, 23090, 1797, 1164, 6453, 538, 6281, 23090, 261, 341, 823, 17930, 563, 763, 1599, 540, 3119, 23090, 568, 547, 11275, 1125, 519, 4295, 543, 519, 1599, 540, 6281, 23090, 568, 547, 2333, 610, 6175, 519, 6453, 2687, 547, 3119, 6453, 563, 307, 4338, 8863, 20315, 5058, 1107, 24135, 4657, 568, 513, 1184, 676, 799, 6453, 7939, 666, 581, 6913, 269, 7151, 1107, 1577, 721, 2161, 972, 568, 513, 3892, 22155, 476, 1556, 298, 309, 270, 275, 3451, 309, 269, 19243, 6453, 476, 275, 3451, 309, 5673, 593, 519, 3403, 6453, 476, 1556, 298, 309, 269, 1809, 3403, 6453, 666, 2760, 581, 513, 6378, 6453, 267, 621, 949, 581, 2901, 5594, 2362, 610, 2539, 269, 1924, 1813, 547, 8390, 538, 3403, 6453, 267, 3977, 14179, 5653, 849, 9775, 269, 1306, 8390, 538, 3977, 6453, 568, 711, 11807, 585, 519, 3106, 540, 519, 3937, 607, 16491, 906, 616, 2966, 585, 513, 1880, 6453, 269, 1924, 267, 538, 1931, 547, 3035, 3586, 3977, 6453, 267, 7148, 1680, 518, 4249, 607, 1271, 1909, 269, 11374, 5468, 616, 972, 540, 7148, 4657, 547, 1205, 3586, 3977, 269, 24135, 4657, 11460, 568, 2016, 538, 10226, 23090, 269, 24135, 4657, 1058, 581, 2944, 950, 22155, 568, 4625, 1055, 1299, 26809, 563, 263, 9616, 1700, 24135, 4657, 11460, 9775, 609, 519, 10672, 267, 865, 2141, 3277, 22155, 779, 9755, 7148, 3095, 5750, 1354, 4657, 621, 269, 15873, 2016, 2630, 568, 835, 540, 519, 10672, 779, 7148, 3095, 6516, 8094, 12487, 1299, 700, 307, 570, 2207, 300, 2562, 28940, 1107, 4322, 616, 519, 6753, 1141, 10226, 630, 514, 5765, 264, 10814, 1299, 700, 307, 630, 719, 4707, 264, 15791, 616, 4448, 609, 22155, 630, 514, 2013, 540, 1900, 1524, 22155, 1916, 20670, 17762, 630, 4910, 2700, 18323, 23618, 832, 264, 1107, 21512, 17762, 616, 519, 4187, 799, 616, 1031, 547, 3713, 519, 2837, 540, 519, 2842, 902, 269, 21512, 17762, 960, 593, 519, 6240, 602, 4187, 540, 5911, 9775, 609, 8390, 538, 2837, 269, 21512, 17762, 616, 17332, 538, 519, 9240, 913, 540, 1142, 23090, 269, 21512, 17762, 616, 4448, 609, 22153, 2718, 4216, 1315, 7758, 599, 4216, 269, 901, 20794, 4216, 10525, 519, 2837, 540, 519, 2842, 902, 269, 634, 1570, 1031, 585, 21512, 17762, 616, 19162, 601, 267, 21019, 267, 31091, 3092, 563, 300, 12678, 295, 3201, 5058, 21398, 311, 270, 3918, 6369, 312, 21398, 311, 14727, 2177, 307, 4629, 17247, 2207, 1700, 898, 779, 513, 1852, 8470, 799, 568, 8704, 593, 519, 1560, 540, 519, 22155, 269, 634, 3252, 540, 17120, 568, 547, 24121, 268, 8058, 519, 23090, 2837, 540, 681, 267, 312, 267, 645, 5123, 2676, 268, 7827, 4159, 3432, 540, 23090, 5210, 2676, 268, 898, 666, 581, 23553, 547, 2285, 10178, 1852, 267, 15372, 1299, 7552, 5365, 2676, 268, 22647, 16315, 540, 2837, 666, 581, 3177, 269, 3092, 454, 263, 9616, 1107, 5071, 540, 17120, 5673, 540, 5663, 2754, 865, 1354, 3257, 1022, 960, 24963, 3277, 9757, 5478, 779, 4808, 4700, 0, 5278, 6343, 4505, 267, 538, 10120, 3624, 267, 7784, 335, 32535, 1185, 1044, 11827, 267, 543, 729, 5051, 1031, 676, 519, 4108, 538, 8396, 269, 634, 946, 540, 7784, 335, 32535, 538, 519, 2038, 642, 848, 6438, 6180, 1513, 538, 2342, 267, 543, 4359, 8747, 540, 519, 1279, 6367, 543, 3444, 6367, 267, 799, 782, 1185, 6186, 712, 1790, 1512, 1424, 15561, 21650, 267, 602, 2322, 606, 1439, 547, 519, 17282, 540, 519, 6186, 10696, 27585, 269, 2991, 519, 1279, 6367, 267, 799, 2838, 1390, 5578, 543, 4222, 547, 946, 267, 519, 1985, 1034, 1713, 6639, 4434, 729, 519, 1660, 8208, 267, 799, 1223, 581, 1031, 3927, 267, 609, 2370, 2866, 269, 769, 942, 267, 519, 1967, 832, 547, 1660, 22806, 543, 666, 12061, 267, 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 ]

[ 657, 267, 945, 729, 693, 1101, 17512, 1881, 2507, 543, 519, 2370, 12475, 18857, 267, 774, 571, 7288, 25257, 519, 7008, 779, 13753, 2059, 519, 5607, 19724, 1396, 339, 7394, 630, 514, 1880, 519, 23795, 6587, 10910, 3941, 264, 5828, 856, 9425, 4829, 995, 267, 543, 930, 540, 31187, 779, 2048, 22772, 338, 685, 689, 713, 16939, 616, 1631, 538, 5507, 630, 5408, 2630, 1040, 1261, 13713, 5206, 909, 1010, 8906, 540, 3504, 700, 800, 2742, 267, 10370, 323, 2801, 267, 543, 3733, 571, 585, 519, 4750, 540, 18774, 21329, 5525, 630, 14157, 269, 476, 280, 267, 476, 6642, 279, 1107, 855, 513, 3259, 1512, 2272, 729, 3177, 676, 661, 11482, 269, 670, 6506, 630, 14157, 269, 476, 1015, 267, 476, 6642, 280, 24270, 1519, 13973, 687, 540, 936, 17288, 1202, 18587, 543, 15102, 540, 1257, 689, 31187, 779, 1378, 31940, 563, 5591, 8969, 1010, 31940, 941, 547, 2097, 538, 13561, 950, 267, 513, 1906, 1296, 2663, 267, 28564, 568, 11049, 1010, 1134, 8153, 4528, 540, 7338, 667, 718, 600, 779, 19701, 585, 519, 670, 752, 1663, 12682, 5980, 630, 6245, 274, 1070, 22281, 532, 519, 8545, 779, 9035, 538, 891, 1482, 7297, 281, 2048, 763, 476, 2537, 6113, 1496, 18907, 267, 476, 14689, 280, 316, 649, 2161, 1194, 676, 16836, 14986, 324, 267, 799, 568, 538, 1396, 548, 5607, 10200, 630, 18823, 1211, 958, 267, 7574, 2987, 11584, 618, 20536, 667, 718, 600, 779, 717, 1638, 1853, 6438, 7518, 1080, 2630, 519, 17254, 4842, 6821, 540, 10910, 3941, 267, 711, 865, 1360, 2484, 2476, 5087, 880, 267, 616, 3810, 5227, 8094, 3719, 1394, 547, 519, 645, 757, 267, 513, 2442, 2272, 540, 519, 741, 476, 2004, 6377, 23593, 538, 476, 6642, 279, 1107, 1134, 4502, 513, 1224, 585, 1346, 945, 1205, 1055, 593, 519, 27726, 23795, 689, 6641, 328, 547, 918, 770, 749, 528, 714, 334, 1107, 729, 2854, 676, 31187, 585, 634, 12397, 24824, 18225, 267, 630, 14157, 269, 476, 6812, 630, 1556, 1070, 476, 30663, 268, 3374, 1070, 543, 13886, 2048, 288, 623, 597, 520, 673, 674, 2529, 6993, 269, 8072, 630, 289, 550, 1185, 5063, 1044, 1500, 513, 29533, 540, 519, 5980, 540, 4165, 1172, 2456, 540, 5507, 267, 543, 729, 18656, 3101, 538, 17847, 995, 13398, 5142, 8094, 263, 2690, 519, 1964, 540, 28564, 779, 4930, 593, 713, 9381, 803, 6387, 267, 1294, 519, 1032, 476, 6642, 279, 538, 1010, 15853, 8094, 5475, 1585, 9035, 267, 519, 645, 757, 6603, 519, 918, 770, 749, 528, 714, 334, 1055, 532, 593, 476, 1789, 628, 4728, 476, 6642, 279, 269, 31187, 5036, 519, 6429, 281, 968, 15124, 21339, 941, 1500, 585, 519, 12625, 540, 519, 2048, 23325, 26676, 685, 693, 519, 1101, 3540, 2213, 2823, 1352, 1185, 10272, 2094, 6028, 5204, 571, 269, 2290, 540, 519, 2048, 2692, 903, 8730, 621, 7902, 267, 6956, 4552, 24408, 1154, 267, 543, 22666, 11427, 269, 674, 2529, 6993, 10200, 338, 23805, 585, 602, 3483, 282, 581, 1841, 941, 695, 8491, 267, 543, 695, 698, 4445, 25437, 4389, 609, 8748, 4028, 640, 2507, 10011, 749, 528, 714, 334, 729, 519, 2823, 267, 543, 621, 568, 513, 2189, 19494, 540, 2413, 5259, 1496, 338, 545, 316, 13055, 267, 1373, 513, 30436, 17535, 4884, 267, 3710, 593, 513, 3046, 1066, 568, 2280, 1055, 519, 5045, 5032, 540, 5607, 19724, 267, 2484, 689, 1022, 824, 5259, 8998, 1107, 513, 4990, 540, 28870, 10300, 1154, 1747, 538, 519, 6329, 585, 8043, 799, 4123, 1063, 28641, 543, 2274, 2779, 710, 16788, 282, 621, 814, 513, 26672, 573, 3771, 13118, 267, 543, 568, 513, 4884, 540, 25501, 543, 26703, 4129, 3034, 295, 2788, 3206, 540, 1753, 267, 519, 645, 757, 616, 538, 991, 540, 930, 16681, 1957, 1740, 547, 2327, 741, 4203, 29792, 3976, 2484, 616, 6870, 689, 519, 533, 11538, 4064, 540, 1312, 5259, 543, 15349, 9821, 8387, 269, 631, 8475, 779, 2048, 2419, 1258, 1834, 685, 3947, 721, 513, 2370, 811, 267, 4098, 609, 513, 17250, 540, 741, 4566, 912, 2108, 5575, 547, 979, 547, 519, 6532, 540, 918, 770, 601, 528, 529, 334, 267, 1141, 972, 568, 513, 5259, 931, 592, 267, 543, 723, 513, 8915, 334, 1500, 602, 649, 3357, 689, 11894, 865, 602, 519, 16380, 949, 711, 5905, 938, 1919, 538, 5204, 571, 2507, 3767, 782, 729, 7041, 585, 713, 3540, 1242, 1747, 269, 31187, 21407, 5128, 602, 1010, 27897, 543, 17063, 941, 693, 1688, 269, 594, 8288, 856, 1250, 1655, 21853, 3122, 10359, 543, 3812, 2463, 762, 17309, 543, 10887, 2507, 1284, 2731, 1500, 513, 1360, 22619, 344, 5428, 950, 649, 6603, 938, 3804, 2507, 1284, 1185, 513, 9350, 22116, 269, 1323, 3328, 942, 689, 3733, 571, 547, 918, 770, 601, 528, 529, 334, 568, 476, 277, 3108, 282, 649, 3576, 827, 476, 2918, 269, 1284, 1705, 711, 2244, 538, 519, 2834, 3771, 13118, 269, 634, 23071, 1767, 2055, 1131, 581, 4280, 607, 547, 1946, 972, 941, 476, 1240, 1004, 538, 971, 513, 10935, 269, 1284, 15354, 827, 476, 279, 269, 898, 568, 513, 30436, 3168, 2370, 4884, 267, 5258, 676, 513, 1448, 593, 799, 4473, 519, 21219, 540, 513, 2699, 14500, 269, 634, 2012, 1058, 581, 10011, 601, 4592, 810, 267, 855, 1101, 519, 16380, 723, 1500, 621, 2048, 528, 810, 685, 543, 1287, 12758, 538, 606, 2048, 328, 9957, 634, 2637, 334, 3150, 610, 10469, 564, 2103, 1500, 621, 269, 29518, 11939, 21208, 6759, 5055, 657, 729, 30870, 16382, 646, 4682, 676, 2828, 269, 1261, 1705, 711, 3100, 14221, 547, 581, 20402, 1454, 267, 543, 2899, 950, 4280, 1141, 646, 1185, 2097, 689, 575, 2905, 12943, 267, 2048, 288, 17763, 547, 10652, 6210, 256, 685, 630, 5228, 519, 1930, 4262, 1040, 594, 729, 30590, 693, 713, 2626, 543, 865, 267, 950, 930, 2021, 267, 9361, 18343, 593, 7725, 267, 1572, 856, 267, 2048, 8702, 19109, 6319, 16224, 547, 799, 594, 12943, 267, 2048, 11039, 1558, 256, 685, 543, 1287, 4280, 267, 2048, 2691, 576, 723, 596, 30223, 3054, 286, 685, 2048, 288, 17763, 547, 10652, 6210, 256, 685, 594, 32127, 569, 14452, 543, 25626, 593, 5180, 513, 7944, 1141, 649, 1223, 14902, 267, 543, 945, 811, 982, 29518, 11939, 21208, 6759, 5055, 657, 2507, 7536, 2467, 568, 4986, 538, 631, 8475, 779, 19701, 547, 2303, 519, 7008, 1500, 1022, 4990, 540, 15805, 32751, 542, 1472, 519, 6532, 267, 711, 1256, 547, 519, 4583, 4544, 23572, 267, 799, 568, 513, 17847, 269, 5080, 29418, 267, 1932, 267, 31187, 2306, 1100, 2446, 540, 5310, 519, 1034, 11599, 2048, 338, 333, 777, 685, 593, 519, 6532, 267, 519, 10370, 857, 534, 4224, 24408, 19772, 630, 275, 628, 2540, 7460, 1070, 2189, 593, 5259, 3037, 563, 300, 2153, 12913, 267, 519, 1985, 649, 1451, 568, 602, 519, 5345, 13370, 626, 6319, 814, 6603, 519, 3504, 3135, 540, 4793, 4673, 593, 519, 22163, 281, 968, 312, 16518, 6640, 267, 6153, 11016, 1496, 18550, 476, 1789, 628, 3910, 649, 1185, 513, 1360, 9602, 22116, 554, 2416, 2507, 7536, 20751, 2395, 267, 31187, 543, 631, 8475, 786, 581, 16213, 1055, 585, 5204, 4592, 2899, 811, 267, 855, 267, 1310, 476, 2004, 2395, 538, 741, 1368, 2280, 267, 789, 723, 1185, 2614, 540, 1930, 7297, 543, 6430, 547, 2132, 547, 5507, 519, 1279, 1259, 267, 936, 1633, 267, 3842, 590, 3240, 337, 3534, 1107, 594, 30955, 1107, 2480, 583, 926, 1107, 1520, 6929, 963, 1107, 1773, 990, 15965, 1107, 594, 30955, 1107, 715, 823, 320, 1107, 594, 30955, 1107, 744, 12549, 320, 1107, 12670, 269, 2353, 513, 2484, 3956, 689, 2048, 322, 2753, 2213, 8730, 2274, 2779, 710, 918, 770, 749, 528, 714, 334, 2507, 543, 835, 13300, 540, 741, 9909, 563, 14071, 11074, 476, 273, 17334, 538, 12670, 693, 519, 6239, 23392, 5608, 11339, 631, 8475, 267, 968, 2171, 1185, 24964, 689, 14349, 3781, 547, 11728, 3781, 267, 519, 476, 1691, 628, 267, 543, 5176, 2141, 998, 7733, 269, 1284, 18084, 689, 4469, 5241, 543, 593, 13628, 1496, 1704, 628, 2904, 476, 6642, 279, 316, 649, 9108, 6603, 1753, 2507, 2353, 938, 27371, 6603, 4789, 4166, 1310, 267, 543, 1310, 7836, 930, 4374, 1934, 616, 24428, 538, 519, 3703, 7467, 1848, 630, 8072, 763, 13488, 20048, 2873, 540, 11427, 808, 269, 31187, 28564, 8730, 5292, 476, 272, 267, 10228, 267, 476, 1220, 277, 267, 533, 269, 476, 18605, 994, 8072, 2080, 685, 568, 519, 7008, 779, 5100, 4884, 5264, 2282, 3057, 1076, 5246, 267, 513, 5318, 4012, 335, 625, 685, 9566, 267, 609, 1169, 3349, 9008, 267, 1433, 13826, 543, 22277, 6029, 1055, 6204, 1597, 15077, 689, 476, 736, 1296, 540, 12599, 538, 17936, 267, 4000, 267, 543, 519, 8109, 11335, 267, 5310, 267, 1932, 267, 930, 2377, 549, 3187, 625, 543, 1804, 267, 10058, 2447, 1047, 16181, 630, 5228, 519, 2021, 631, 8475, 10004, 1540, 547, 593, 918, 770, 749, 528, 714, 334, 1070, 1175, 8452, 1394, 538, 11315, 267, 12566, 1835, 919, 267, 5063, 796, 2903, 539, 689, 519, 1232, 802, 540, 519, 5345, 13370, 626, 6319, 912, 10527, 2021, 1934, 782, 5957, 519, 10571, 540, 918, 770, 601, 528, 529, 334, 281, 1279, 2407, 25549, 10412, 5538, 338, 619, 267, 1287, 519, 25099, 3728, 2989, 1524, 519, 4395, 609, 2507, 1804, 5180, 8988, 11369, 956, 267, 543, 1287, 9310, 2021, 5957, 513, 575, 1144, 1793, 527, 909, 547, 519, 22765, 693, 519, 2427, 269, 634, 476, 273, 4395, 11353, 616, 1419, 13615, 1394, 607, 789, 1831, 6071, 12673, 269, 3973, 513, 29075, 609, 19492, 1407, 10678, 1657, 519, 23969, 543, 1360, 1279, 2914, 320, 13554, 267, 543, 1360, 1970, 568, 10138, 513, 10077, 325, 269, 634, 6690, 798, 711, 5957, 519, 575, 1144, 269, 1358, 723, 513, 905, 345, 593, 519, 2212, 543, 513, 2881, 3316, 5180, 621, 610, 711, 2507, 892, 630, 8072, 763, 13488, 20048, 2873, 540, 11427, 808, 269, 31187, 28564, 8730, 5292, 476, 272, 267, 10228, 267, 476, 1220, 277, 267, 533, 269, 476, 26727, 994, 1103, 519, 3377, 2899, 811, 267, 519, 9583, 10770, 18755, 1170, 6421, 540, 519, 2899, 268, 1597, 30514, 774, 657, 13648, 1299, 25860, 630, 663, 782, 865, 31916, 540, 3703, 2359, 585, 5756, 267, 2523, 538, 2474, 540, 6216, 19642, 264, 723, 2366, 519, 28564, 25201, 630, 17218, 4864, 476, 1001, 280, 264, 1394, 547, 631, 8475, 779, 1019, 2456, 585, 8100, 547, 519, 3134, 11345, 4663, 11346, 1107, 585, 519, 7008, 267, 899, 5215, 267, 9937, 540, 5215, 267, 540, 2951, 6840, 1700, 16941, 2390, 7338, 13648, 630, 5197, 279, 268, 6245, 273, 264, 585, 741, 17573, 715, 559, 5328, 14501, 538, 519, 476, 6642, 271, 338, 543, 2048, 3445, 338, 269, 634, 16724, 3459, 1010, 12266, 19150, 538, 476, 5908, 280, 563, 5278, 4282, 282, 3967, 24261, 267, 9039, 1732, 281, 968, 24171, 13648, 267, 519, 1433, 532, 804, 17064, 540, 519, 7276, 2507, 543, 2048, 548, 1511, 621, 547, 13648, 779, 685, 1185, 8854, 883, 519, 1893, 269, 13648, 779, 1185, 12303, 11827, 2413, 9235, 267, 543, 741, 6960, 30652, 690, 1415, 13646, 267, 609, 741, 627, 597, 2590, 11655, 543, 21567, 2995, 619, 685, 524, 1137, 267, 941, 21056, 540, 1169, 11440, 2749, 269, 1358, 4371, 519, 598, 20896, 585, 5665, 9252, 619, 593, 519, 5211, 20407, 281, 782, 519, 1259, 909, 547, 26512, 3244, 10964, 519, 8492, 540, 519, 5757, 941, 20651, 676, 13648, 779, 4096, 757, 2507, 685, 630, 8072, 303, 1314, 27429, 267, 634, 29725, 1314, 540, 606, 7276, 9957, 5507, 476, 1960, 279, 267, 2985, 476, 5038, 994, 763, 645, 757, 685, 1101, 4704, 547, 519, 6109, 568, 538, 2038, 476, 6642, 276, 269, 31187, 543, 631, 8475, 616, 1055, 547, 2263, 519, 267, 1287, 15349, 267, 667, 1712, 4754, 3150, 267, 855, 1904, 547, 1376, 609, 519, 9252, 518, 689, 3057, 572, 14792, 547, 28641, 267, 3842, 519, 18135, 1080, 540, 11619, 2088, 267, 543, 513, 5618, 1033, 712, 547, 5527, 269, 631, 8475, 1668, 625, 9887, 609, 1200, 19701, 912, 24685, 519, 10543, 540, 14349, 1496, 1704, 628, 5130, 476, 6642, 276, 316, 649, 4682, 856, 547, 1294, 853, 668, 2513, 328, 269, 1284, 1223, 27452, 10646, 519, 3595, 855, 950, 17500, 25626, 1970, 593, 519, 4262, 3297, 621, 519, 2898, 3109, 1106, 540, 519, 6532, 729, 3254, 269, 1284, 4682, 1360, 7444, 267, 627, 626, 1782, 998, 519, 18135, 1080, 540, 11619, 2088, 269, 1284, 11129, 547, 723, 1044, 538, 28641, 593, 13638, 855, 1152, 3893, 547, 519, 5551, 2823, 827, 476, 273, 522, 685, 22018, 593, 13723, 1496, 2641 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 519, 20448, 630, 637, 573, 783, 7060, 1916, 8489, 519, 20448, 543, 519, 2829, 2671, 7060, 267, 585, 1383, 267, 936, 21259, 267, 891, 616, 5219, 547, 607, 1412, 935, 9690, 7060, 262, 543, 538, 519, 2680, 540, 513, 4655, 1063, 20448, 543, 1533, 1876, 267, 20448, 1876, 7173, 5661, 563, 268, 634, 6465, 1393, 540, 31689, 476, 4350, 272, 630, 19808, 264, 19203, 2169, 2105, 519, 5106, 540, 519, 20616, 16572, 4406, 7190, 2920, 547, 20450, 540, 519, 5313, 12057, 563, 268, 6465, 1393, 540, 31689, 22685, 5406, 2920, 476, 3707, 273, 630, 290, 628, 264, 19203, 7806, 1881, 519, 6465, 1393, 540, 31689, 538, 476, 3707, 273, 24794, 8826, 547, 476, 274, 5181, 476, 4350, 280, 267, 4758, 5245, 2698, 1582, 3766, 17922, 563, 268, 634, 17658, 344, 7027, 630, 21918, 2787, 540, 2561, 324, 1023, 264, 2920, 476, 3422, 279, 630, 290, 628, 264, 19203, 1952, 324, 1023, 689, 519, 4400, 7040, 547, 519, 17658, 344, 7027, 593, 5313, 6927, 941, 27618, 563, 268, 634, 15875, 20450, 13335, 2920, 476, 3422, 280, 630, 10064, 310, 264, 19203, 516, 701, 4705, 13061, 5177, 29071, 1869, 538, 3196, 538, 1715, 3162, 12986, 563, 268, 634, 17658, 344, 7027, 630, 7343, 324, 1023, 689, 519, 4400, 7040, 264, 2920, 476, 3192, 276, 630, 290, 628, 264, 19203, 21966, 1639, 519, 1318, 547, 9029, 689, 519, 3557, 10966, 7040, 547, 519, 17658, 344, 7027, 563, 268, 634, 5245, 2920, 543, 519, 5245, 630, 26473, 652, 543, 3117, 550, 264, 2920, 476, 2735, 277, 630, 290, 628, 264, 19203, 5658, 539, 519, 12032, 540, 13338, 7115, 543, 1533, 3125, 269, 898, 4735, 4705, 519, 20616, 16572, 4406, 7190, 2920, 543, 694, 30099, 519, 3803, 6402, 609, 519, 2296, 3656, 1062, 676, 13373, 5109, 22587, 689, 1533, 10966, 30271, 547, 519, 17658, 344, 7027, 563, 1321, 9484, 9653, 540, 25024, 454, 268, 769, 631, 629, 334, 642, 269, 24368, 630, 5591, 269, 476, 273, 264, 630, 1960, 273, 264, 519, 4400, 7040, 17019, 602, 5245, 1185, 711, 1044, 31619, 14275, 3780, 543, 602, 1455, 1876, 2369, 2478, 513, 1106, 540, 5065, 2140, 547, 2244, 563, 268, 634, 7111, 7170, 2920, 476, 1960, 274, 630, 290, 628, 264, 18931, 519, 1292, 4681, 540, 519, 631, 629, 334, 3375, 543, 1305, 909, 513, 7111, 7170, 17650, 26915, 547, 3313, 2244, 6811, 269, 634, 2920, 1705, 711, 1118, 621, 2312, 2436, 29009, 682, 1162, 936, 2244, 24773, 1639, 5065, 2140, 563, 268, 769, 21701, 642, 269, 3557, 540, 1715, 3162, 12986, 630, 1960, 276, 264, 519, 4400, 7040, 4371, 602, 1004, 540, 16971, 16350, 941, 1641, 547, 8241, 7803, 1876, 563, 268, 769, 519, 22816, 2013, 630, 1960, 277, 264, 519, 4400, 7040, 4371, 602, 5065, 2140, 543, 29009, 682, 1162, 1223, 2291, 2427, 676, 2427, 593, 519, 1482, 2244, 563, 268, 634, 20448, 2229, 3210, 547, 519, 4400, 7040, 3375, 538, 22816, 814, 1044, 547, 3801, 547, 1780, 519, 7111, 7170, 14821, 9291, 630, 1960, 278, 264, 799, 568, 2966, 547, 2285, 22979, 547, 519, 29009, 1235, 855, 799, 786, 4440, 1291, 547, 2417, 25036, 543, 1035, 3234, 3415, 609, 7087, 26880, 563, 268, 634, 1684, 551, 9068, 540, 9484, 9653, 540, 25024, 11394, 547, 26343, 519, 3635, 540, 519, 15424, 267, 10324, 543, 16324, 8371, 540, 2229, 14311, 547, 741, 9757, 5238, 630, 13640, 8365, 267, 519, 16410, 6839, 543, 519, 10470, 1916, 1607, 568, 547, 2327, 602, 513, 3666, 568, 9738, 1063, 519, 1614, 8371, 540, 2229, 543, 7551, 2061, 606, 6057, 540, 1379, 607, 1522, 2049, 538, 513, 28983, 1222, 563, 268, 634, 3252, 540, 519, 1614, 8371, 616, 912, 268, 634, 15445, 1599, 3322, 519, 19862, 543, 11056, 540, 3609, 269, 769, 519, 31689, 1062, 519, 10324, 568, 13408, 540, 519, 10361, 540, 3557, 543, 519, 16410, 6839, 563, 268, 634, 22694, 894, 1599, 3322, 519, 15357, 618, 610, 1818, 540, 4031, 543, 568, 642, 6479, 538, 12057, 563, 268, 634, 7225, 2772, 1599, 3322, 519, 7664, 267, 3498, 543, 11268, 540, 519, 1876, 269, 898, 568, 27361, 998, 519, 10470, 563, 268, 7201, 519, 1684, 551, 9068, 540, 9484, 9653, 540, 25024, 607, 4294, 547, 519, 31689, 454, 17882, 540, 2229, 267, 519, 22694, 1155, 568, 519, 18678, 1876, 2173, 6033, 269, 769, 4641, 972, 454, 529, 1100, 9668, 1063, 519, 15445, 543, 519, 22694, 1155, 563, 1724, 20448, 543, 1533, 7060, 454, 2750, 5477, 7060, 630, 13349, 17314, 1152, 994, 338, 269, 476, 7367, 281, 1401, 5477, 7060, 540, 519, 12057, 454, 338, 269, 476, 3445, 281, 31654, 1682, 267, 2300, 1047, 543, 29667, 625, 454, 338, 269, 476, 10844, 281, 5131, 4123, 1063, 519, 2829, 454, 338, 269, 2433, 11633, 1894, 454, 338, 269, 476, 10755, 281, 14171, 936, 1533, 1857, 22440, 454, 338, 269, 476, 14625, 281, 13639, 4229, 454, 338, 269, 476, 12893, 281, 4354, 6275, 454, 338, 269, 476, 14338, 281, 6554, 540, 5313, 11182, 454, 3519, 9690, 7060, 630, 3333, 1563, 1063, 20448, 543, 519, 2829, 994, 4910, 573, 783, 7060, 630, 560, 919, 1152, 994, 268, 7316, 972, 568, 1022, 24081, 1890, 1063, 4031, 1500, 896, 519, 12600, 7060, 14074, 540, 519, 20448, 9139, 543, 513, 1533, 267, 521, 269, 476, 11820, 2488, 602, 519, 1533, 4031, 267, 547, 519, 6708, 540, 519, 24081, 1890, 267, 4927, 581, 23380, 563, 268, 4107, 540, 519, 20448, 7060, 616, 4371, 21276, 569, 609, 519, 2829, 630, 324, 3052, 269, 521, 269, 476, 7906, 1070, 799, 1797, 602, 1312, 666, 9777, 622, 538, 891, 2127, 269, 7316, 789, 4655, 267, 519, 20448, 1876, 786, 7173, 841, 952, 519, 9837, 540, 519, 20448, 12057, 568, 547, 1412, 16225, 519, 2361, 8339, 0, 291, 790, 19241, 1990, 636, 769, 327, 5306, 454, 8005, 6499, 547, 723, 741, 1863, 786, 3144, 2476, 689, 873, 286, 23883, 950, 621, 2501, 547, 2596, 3664, 538, 938, 3232, 2729, 267, 899, 267, 585, 1383, 267, 1018, 649, 6108, 938, 2724, 593, 269, 898, 814, 1279, 1044, 1455, 1702, 602, 3929, 2188, 3310, 938, 5079, 269, 769, 8257, 8637, 22196, 2575, 2488, 513, 1745, 3766, 797, 5790, 1247, 585, 6752, 267, 909, 15515, 520, 1402, 543, 4224, 8964, 616, 9277, 547, 17938, 1791, 622, 6300, 11825, 543, 2333, 741, 9140, 25372, 269, 6904, 1917, 338, 519, 2243, 281, 1403, 621, 1568, 3842, 1018, 649, 5873, 666, 621, 849, 960, 998, 938, 2631, 540, 9329, 888, 6124, 3621, 543, 6725, 2090, 1397, 602, 519, 946, 540, 20416, 666, 3310, 6800, 538, 741, 11449, 3375, 543, 948, 3549, 2333, 741, 24826, 269, 634, 1382, 20576, 585, 21436, 6184, 697, 693, 519, 2160, 540, 853, 269, 11829, 523, 1336, 602, 5561, 538, 2098, 584, 747, 8637, 1705, 538, 1249, 1450, 2933, 547, 581, 6766, 676, 20416, 269, 634, 6800, 18423, 3476, 543, 811, 4749, 1500, 519, 3375, 547, 4444, 513, 1587, 269, 634, 1267, 281, 634, 15945, 941, 2111, 547, 2333, 741, 24826, 676, 909, 547, 5216, 2600, 269, 4329, 2090, 267, 585, 1383, 676, 519, 1382, 1895, 968, 8256, 11167, 543, 10263, 892, 693, 519, 2160, 540, 22087, 8538, 1941, 267, 9672, 891, 4681, 563, 8722, 601, 902, 543, 8823, 454, 3719, 1018, 2965, 4523, 538, 519, 2634, 538, 891, 2090, 286, 3245, 4332, 593, 1480, 7919, 4865, 513, 2631, 540, 9329, 269, 1306, 649, 979, 998, 1272, 649, 1995, 811, 543, 811, 1114, 30851, 267, 4558, 873, 538, 519, 2634, 543, 13217, 938, 2702, 547, 2995, 835, 20416, 689, 1776, 269, 634, 2631, 540, 9329, 568, 3226, 4241, 1317, 621, 568, 5631, 10805, 538, 519, 1016, 23655, 269, 1323, 10153, 16371, 17003, 1590, 581, 18481, 2178, 547, 1118, 922, 1259, 883, 938, 9637, 1107, 1152, 1287, 267, 798, 649, 5469, 602, 649, 616, 1159, 2454, 1945, 269, 634, 9224, 568, 849, 519, 1152, 2631, 1418, 602, 15920, 922, 25372, 4652, 2830, 1229, 689, 519, 10153, 16371, 6147, 1962, 636, 547, 519, 993, 17789, 323, 8403, 267, 519, 851, 540, 519, 18215, 545, 1062, 538, 519, 2634, 269, 901, 1797, 602, 519, 25372, 21271, 519, 7740, 540, 519, 19548, 16794, 602, 7363, 1459, 606, 21677, 267, 543, 4283, 519, 1016, 23655, 2047, 269, 1703, 267, 891, 25372, 32570, 4606, 543, 8823, 269, 901, 568, 1141, 519, 1883, 547, 519, 2243, 2436, 938, 9140, 2623, 666, 581, 6766, 676, 20416, 6013, 269, 18461, 902, 543, 8823, 666, 581, 2318, 267, 789, 666, 2992, 5898, 543, 12257, 543, 3976, 16578, 6800, 547, 4444, 513, 1587, 269, 1717, 789, 666, 849, 2322, 721, 1055, 1107, 952, 649, 616, 1065, 6160, 539, 610, 1745, 13943, 1287, 649, 786, 9090, 1832, 938, 3845, 689, 519, 1587, 543, 689, 519, 6718, 563, 1103, 519, 8257, 540, 11671, 321, 5735, 693, 519, 1284, 714, 10458, 4659, 540, 3163, 538, 1234, 327, 990, 582, 267, 5840, 267, 519, 4276, 1063, 20416, 543, 4606, 814, 1044, 21503, 811, 703, 13208, 269, 634, 3744, 723, 5631, 7255, 2933, 609, 519, 2243, 281, 4208, 798, 930, 24462, 538, 1880, 32570, 8823, 689, 938, 6689, 286, 769, 835, 4603, 5171, 941, 3254, 1114, 3615, 269, 2311, 519, 1482, 942, 789, 4862, 513, 3280, 610, 1223, 9329, 513, 20416, 269, 25980, 2663, 519, 4603, 729, 7368, 1107, 713, 942, 2705, 609, 1114, 4992, 543, 24462, 269, 634, 2164, 4951, 602, 19952, 519, 5171, 2404, 519, 1843, 1034, 9244, 609, 519, 1101, 20416, 269, 2311, 519, 1482, 942, 513, 1880, 4806, 540, 8849, 2534, 538, 519, 28481, 25283, 729, 4362, 269, 634, 3744, 3357, 547, 519, 3932, 602, 24462, 267, 799, 616, 2404, 609, 3615, 267, 616, 9244, 12979, 1819, 538, 938, 12058, 543, 891, 6292, 902, 7363, 2049, 538, 6689, 563, 4913, 267, 2687, 547, 2257, 267, 519, 4276, 1063, 9329, 543, 9140, 2623, 568, 711, 3833, 865, 2241, 269, 769, 607, 1454, 607, 513, 2898, 3126, 540, 3606, 2188, 849, 3310, 2436, 267, 6038, 267, 938, 9224, 814, 513, 1909, 547, 1404, 269, 13636, 543, 2686, 21274, 3313, 519, 1198, 24462, 723, 593, 721, 269, 589, 7013, 3864, 814, 1114, 12205, 609, 519, 20416, 540, 20521, 547, 513, 4436, 282, 519, 5545, 4782, 1114, 24462, 547, 519, 3345, 4892, 269, 5015, 538, 513, 10918, 2796, 519, 20416, 1590, 9290, 519, 1587, 543, 519, 11449, 3510, 1107, 543, 621, 1058, 711, 581, 14669, 547, 519, 6788, 540, 519, 6075, 269, 1656, 267, 607, 609, 1034, 1919, 538, 1272, 267, 519, 740, 720, 10039, 281, 5213, 1406, 21179, 622, 269, 589, 1360, 14021, 10153, 16371, 1995, 666, 3533, 1831, 1065, 14601, 269, 18873, 723, 3254, 602, 2241, 1085, 757, 18609, 5561, 1034, 540, 782, 269, 4340, 547, 1382, 267, 713, 814, 547, 798, 609, 519, 6240, 540, 968, 324, 848, 540, 4393, 2108, 269, 634, 4443, 513, 2283, 783, 12705, 666, 581, 9268, 519, 811, 2318, 649, 1995, 621, 14156, 563, 5415, 543, 811, 3549, 723, 2907, 6444, 519, 1761, 540, 20416, 269, 18766, 689, 4758, 1880, 2472, 1880, 1085, 757, 930, 723, 849, 1831, 5461, 538, 519, 10206, 540, 513, 15952, 590, 1417, 1107, 20416, 607, 513, 15262, 540, 3961, 269, 1924, 267, 786, 20416, 1831, 519, 1985, 8262, 774, 532, 286, 769, 1082, 2665, 621, 568, 1869, 2352, 547, 2268, 519, 4398, 543, 3310, 24462, 723, 593, 6455, 5515, 269, 3509, 2055, 849, 2611, 796, 753, 26833, 538, 519, 3406, 585, 1500, 3562, 24578, 5501, 1085, 757, 585, 6800, 543, 519, 1034, 5078, 1505, 585, 16089, 519, 20416, 269, 1717, 1058, 519, 4276, 1063, 20416, 543, 6216, 6961, 547, 581, 513, 3811, 6725, 6293, 543, 13604, 581, 4922, 2322, 883, 2259, 676, 3549, 267, 713, 1223, 1291, 547, 513, 1394, 2000, 1662, 689, 6800, 269, 5221, 1082, 6800, 2972, 543, 1256, 2648, 1880, 24462, 267, 855, 972, 568, 835, 3364, 789, 798, 711, 1616, 267, 543, 602, 568, 547, 581, 1291, 676, 519, 9224, 269, 285, 7982, 547, 7650, 0, 271, 533, 1206, 8694, 1607, 2243, 568, 454, 743, 2216, 269, 3143, 2798, 941, 13752, 563, 296, 723, 1100, 2856, 875, 547, 798, 621, 269, 921, 848, 948, 454, 263, 11795, 2159, 264, 5565, 5536, 616, 4448, 676, 513, 14461, 2527, 1652, 11425, 540, 26319, 561, 267, 799, 29226, 538, 513, 8880, 7077, 609, 3586, 16070, 767, 6290, 28911, 269, 12928, 1057, 12967, 454, 26625, 2176, 693, 519, 1079, 5536, 2061, 32355, 9325, 689, 2348, 513, 6991, 5057, 2059, 519, 11425, 267, 855, 1492, 5536, 666, 13472, 1510, 11508, 538, 513, 454, 323, 3925, 704, 12993, 547, 519, 11425, 563, 320, 269, 2913, 779 ]

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

[ 2892, 926, 539, 2816, 269, 5871, 7694, 3681, 1331, 2324, 538, 3506, 267, 2937, 2069, 12621, 267, 9945, 267, 801, 3930, 267, 26847, 543, 2066, 519, 3860, 6080, 563, 2791, 3513, 2356, 6133, 707, 960, 10446, 610, 998, 513, 19922, 269, 6271, 11460, 568, 547, 723, 606, 8665, 6133, 960, 593, 707, 15773, 269, 901, 949, 3035, 596, 811, 6455, 543, 9962, 4598, 267, 855, 707, 8665, 786, 1491, 10243, 593, 1018, 789, 6133, 563, 293, 710, 1148, 568, 513, 3810, 8013, 2361, 543, 596, 1590, 581, 4199, 995, 538, 1931, 547, 1711, 707, 1378, 3255, 543, 3343, 856, 1007, 543, 4277, 4025, 547, 1397, 543, 6133, 707, 960, 269, 1452, 666, 1331, 7376, 21445, 5624, 267, 13063, 267, 15882, 267, 15945, 267, 2621, 543, 1857, 5624, 563, 2791, 949, 3489, 862, 3827, 547, 1118, 1808, 4773, 540, 960, 585, 2043, 610, 5238, 267, 610, 596, 1223, 2119, 547, 5150, 606, 7376, 781, 32031, 269, 31876, 543, 3877, 540, 4036, 4293, 267, 7616, 3255, 543, 19194, 666, 581, 1336, 689, 519, 1739, 2959, 912, 268, 513, 5991, 281, 634, 20551, 6176, 7577, 454, 268, 8551, 7027, 4789, 454, 268, 8551, 7027, 540, 8832, 8581, 454, 268, 8551, 7027, 540, 12986, 454, 268, 8551, 9177, 9012, 22868, 454, 268, 8551, 22868, 1299, 8551, 5240, 454, 268, 8551, 12333, 454, 268, 3703, 7027, 910, 8551, 6828, 454, 268, 27207, 7027, 454, 268, 11300, 5623, 454, 268, 11300, 10430, 454, 268, 3627, 17363, 2871, 1375, 523, 8583, 17341, 7690, 454, 268, 19536, 1299, 20551, 5729, 1504, 454, 309, 659, 17473, 543, 3255, 616, 1419, 711, 6994, 2213, 693, 782, 267, 543, 596, 1058, 581, 5423, 547, 1382, 543, 10625, 3255, 585, 5386, 5159, 998, 13033, 543, 676, 2348, 519, 6015, 547, 1935, 14540, 543, 2043, 563, 3080, 1259, 547, 1020, 24015, 568, 547, 2347, 513, 2022, 12392, 28730, 267, 971, 607, 513, 27587, 610, 2022, 12392, 26885, 269, 1411, 666, 3442, 689, 1082, 1148, 5396, 693, 713, 1377, 543, 513, 1297, 540, 2110, 6030, 616, 2139, 269, 898, 781, 849, 2009, 547, 1353, 585, 1585, 17758, 693, 31641, 4488, 1377, 563, 5353, 22701, 856, 1007, 3318, 17066, 267, 585, 1383, 585, 3101, 3347, 609, 824, 5159, 267, 1225, 2209, 543, 19922, 5411, 267, 568, 1271, 269, 1411, 3513, 1451, 998, 23712, 543, 2324, 609, 1866, 543, 1646, 3255, 666, 8451, 607, 513, 1267, 563, 2252, 596, 2811, 513, 2487, 10927, 596, 1223, 3343, 960, 607, 606, 7376, 781, 13930, 610, 18638, 13930, 267, 799, 2488, 1434, 2866, 543, 1565, 3255, 269, 1411, 1223, 689, 1934, 1831, 15469, 547, 519, 1909, 540, 18638, 9614, 563, 2791, 666, 849, 1020, 676, 1565, 1007, 7499, 2553, 269, 2290, 1259, 547, 798, 713, 568, 547, 960, 607, 513, 5958, 1807, 267, 799, 3322, 1818, 543, 14335, 824, 5159, 262, 960, 593, 741, 15773, 563, 2467, 781, 1100, 3044, 610, 11295, 4876, 2619, 585, 513, 5386, 7376, 267, 865, 4876, 1646, 3884, 1405, 2653, 547, 3589, 563, 7312, 1967, 786, 581, 3810, 8200, 593, 519, 1377, 540, 7029, 596, 723, 547, 707, 960, 269, 10289, 1114, 3255, 543, 11319, 707, 960, 883, 519, 1857, 6389, 267, 2901, 998, 1582, 1790, 668, 10056, 610, 519, 946, 540, 606, 8665, 267, 786, 581, 2556, 269, 1411, 1058, 849, 2119, 547, 7119, 538, 607, 1082, 21088, 24218, 610, 1895, 2982, 607, 2009, 563, 20751, 2947, 547, 4557, 1296, 540, 4271, 908, 596, 949, 723, 707, 1378, 18638, 267, 19922, 6041, 267, 2834, 2982, 543, 513, 3060, 540, 1271, 17066, 269, 2311, 713, 3942, 596, 3513, 23248, 723, 1185, 2614, 1967, 602, 596, 666, 960, 593, 707, 1148, 593, 513, 2407, 6066, 4493, 267, 7654, 1256, 14139, 930, 5234, 547, 960, 538, 707, 18638, 563, 4913, 267, 596, 949, 3442, 547, 9772, 513, 14769, 2511, 540, 2324, 267, 1141, 596, 6108, 930, 540, 707, 3018, 2324, 593, 707, 1148, 267, 543, 519, 1964, 6170, 2324, 538, 513, 1644, 2361, 267, 971, 607, 3450, 1148, 538, 3506, 269, 901, 666, 1683, 3099, 543, 513, 811, 5150, 4747, 563, 2791, 1223, 1831, 606, 7376, 538, 15335, 267, 7722, 585, 513, 942, 676, 513, 19922, 267, 2230, 267, 13539, 610, 9872, 547, 1118, 960, 543, 3565, 1983, 543, 1702, 269, 0, 763, 3923, 540, 4728, 814, 1044, 29805, 6468, 781, 3778, 13600, 267, 543, 1004, 1472, 519, 1158, 616, 2921, 891, 476, 4029, 2395, 547, 2731, 8661, 2021, 543, 6690, 2066, 519, 1158, 543, 2429, 1686, 269, 12846, 267, 972, 568, 835, 1554, 713, 3923, 602, 568, 3063, 1271, 281, 4139, 6468, 781, 4303, 267, 513, 1554, 6131, 547, 2021, 10876, 607, 649, 960, 1927, 538, 519, 5571, 4339, 4339, 585, 7862, 269, 1809, 1018, 4010, 568, 4139, 6468, 781, 4303, 286, 1656, 950, 568, 621, 9976, 286, 3371, 781, 3388, 547, 917, 827, 519, 2462, 1554, 865, 596, 666, 6443, 538, 593, 713, 1032, 781, 16873, 563, 1432, 568, 4139, 6468, 781, 4303, 888, 17220, 6468, 781, 4303, 568, 513, 1554, 6131, 547, 14120, 2021, 543, 782, 789, 723, 12913, 269, 4340, 547, 519, 3896, 267, 594, 310, 291, 568, 834, 718, 827, 9322, 267, 11812, 267, 8086, 267, 14223, 267, 543, 2962, 1701, 2201, 1283, 540, 513, 11812, 267, 519, 1554, 849, 6411, 607, 513, 1289, 547, 2962, 547, 3914, 7862, 540, 519, 25469, 563, 2691, 568, 4139, 6468, 781, 4303, 888, 9336, 1032, 267, 594, 310, 291, 568, 9976, 593, 4728, 476, 279, 628, 269, 901, 2245, 3459, 476, 10482, 1296, 3516, 538, 476, 5002, 280, 950, 519, 31012, 9549, 540, 3013, 6896, 513, 13889, 538, 1715, 3840, 4975, 1141, 476, 1428, 267, 1822, 2021, 3893, 1927, 547, 4339, 1394, 1996, 1279, 960, 3108, 267, 1970, 2628, 267, 543, 3668, 540, 13359, 2924, 563, 4263, 1101, 267, 519, 1554, 729, 5219, 547, 607, 2817, 6468, 781, 4303, 267, 855, 538, 476, 4489, 274, 267, 6576, 6444, 4139, 6468, 781, 4303, 607, 513, 9702, 269, 898, 729, 593, 713, 1554, 1175, 2185, 1296, 2663, 950, 9937, 540, 5215, 540, 6739, 2021, 6896, 513, 13889, 585, 1689, 267, 13110, 540, 519, 1259, 789, 941, 1373, 5701, 676, 741, 2229, 269, 9617, 513, 1032, 2663, 538, 476, 4489, 275, 267, 519, 3377, 540, 594, 310, 291, 1185, 3262, 1472, 519, 1158, 607, 2021, 3576, 547, 519, 10754, 547, 13889, 741, 9933, 725, 11341, 547, 3388, 689, 519, 2112, 547, 519, 991, 585, 13359, 2924, 269, 5472, 540, 891, 1296, 2663, 543, 519, 9702, 568, 1869, 9976, 5001, 563, 1432, 568, 519, 6249, 585, 4139, 6468, 781, 4303, 888, 9336, 1032, 267, 4139, 6468, 781, 4303, 814, 513, 6249, 267, 799, 10274, 519, 4901, 585, 602, 1032, 269, 901, 1032, 267, 519, 6249, 568, 1948, 10376, 1721, 22949, 269, 901, 4564, 519, 2856, 602, 952, 649, 782, 960, 1927, 547, 4339, 1996, 11475, 543, 4161, 12886, 267, 649, 666, 5555, 3914, 7862, 563, 4002, 1283, 540, 602, 267, 1142, 1032, 594, 310, 291, 849, 3096, 519, 2681, 13711, 547, 2099, 2021, 269, 4340, 547, 519, 3135, 267, 13711, 23327, 5126, 543, 15683, 269, 634, 2681, 729, 851, 540, 513, 4999, 540, 13711, 267, 3039, 267, 543, 3043, 267, 799, 12090, 689, 519, 6468, 781, 4317, 543, 11572, 5742, 538, 519, 5177, 538, 476, 5002, 279, 563, 1692, 666, 594, 7119, 538, 4139, 6468, 781, 4303, 888, 2467, 616, 865, 1082, 2081, 547, 7119, 538, 594, 310, 291, 538, 1082, 1114, 19206, 269, 15638, 267, 12909, 267, 543, 267, 540, 1576, 267, 678, 718, 625, 543, 17600, 616, 9648, 1472, 519, 1158, 267, 865, 2638, 856, 519, 594, 310, 291, 2621, 2985, 547, 1294, 1018, 781, 2469, 593, 538, 707, 1858, 563, 2252, 596, 616, 1932, 11112, 547, 7390, 606, 2680, 267, 1397, 707, 17604, 676, 9849, 13711, 593, 4728, 476, 279, 628, 269, 898, 786, 1118, 707, 1745, 4448, 547, 707, 8284, 2021, 607, 596, 979, 827, 707, 1554, 543, 6148, 1256, 7237, 1866, 9849, 519, 16779, 2681, 563, 4517, 6368, 267, 596, 666, 946, 519, 1379, 540, 1514, 2923, 547, 8661, 594, 310, 291, 269, 22367, 651, 519, 1948, 10376, 1721, 22949, 10460, 543, 2022, 606, 17749, 610, 570, 11548, 11589, 1946, 519, 1554, 568, 1271, 547, 596, 269, 11559, 707, 2828, 547, 798, 519, 1482, 543, 4585, 607, 519, 3350, 9428, 269, 0, 305, 1961, 540, 519, 1367, 3040, 634, 1883, 3390, 538, 8159, 519, 4110, 547, 799, 606, 16809, 568, 1367, 626, 610, 2445, 22999, 568, 519, 1620, 540, 1018, 519, 1367, 779, 1909, 568, 538, 2486, 3040, 10572, 626, 1107, 1582, 3146, 18910, 267, 5191, 689, 6392, 3040, 7151, 281, 4357, 1870, 630, 338, 1075, 3865, 610, 3111, 264, 3040, 11814, 22999, 1107, 22524, 11163, 267, 2956, 540, 519, 1895, 936, 519, 1367, 3040, 7151, 281, 8471, 1072, 1416, 630, 718, 2628, 519, 1482, 7488, 540, 946, 994, 11771, 1231, 540, 10572, 1143, 3040, 1452, 2093, 8057, 856, 540, 519, 21654, 3040, 5384, 7222, 609, 519, 11193, 3040, 1912, 2812, 14279, 3459, 547, 2243, 519, 1909, 540, 2229, 538, 519, 4346, 543, 519, 1379, 2229, 1058, 723, 538, 1004, 779, 2729, 3040, 20122, 15816, 267, 28676, 267, 681, 28907, 879, 3040, 23883, 28676, 1107, 18349, 540, 519, 23942, 9406, 540, 18301, 454, 23322, 2524, 540, 10572, 1143, 6554, 1852, 568, 2938, 607, 7679, 1359, 543, 4831, 1790, 8793, 454, 23149, 1143, 3040, 14329, 540, 1876, 1107, 3025, 568, 1641, 547, 519, 1876, 267, 1519, 519, 2229, 1107, 1142, 1367, 568, 519, 1482, 3040, 10572, 7126, 1107, 26421, 1367, 814, 519, 1318, 547, 8917, 267, 5191, 540, 25903, 267, 7681, 2507, 3040, 5262, 2159, 547, 3666, 1367, 2924, 1107, 552, 3052, 269, 5191, 540, 4633, 3040, 17721, 16296, 1107, 1483, 10040, 267, 2168, 3959, 543, 7214, 3959, 281, 18245, 519, 1367, 3040, 8682, 29027, 270, 11296, 5191, 281, 3288, 23579, 345, 1922, 18311, 543, 15865, 1688, 3040, 26269, 1107, 950, 649, 14526, 609, 1142, 824, 267, 649, 960, 9875, 3976, 3025, 2640, 563, 310, 531, 5336, 691, 4600, 616, 851, 540, 513, 1895, 267, 855, 875, 616, 789, 1367, 2065, 2864, 982, 2445, 22999, 888, 8489, 798, 596, 3514, 538, 286, 3040, 5291, 2517, 4178, 4877, 11823, 7609, 3820, 270, 11687, 3040, 5291, 2517, 4178, 4877, 29176, 31296, 2593, 270, 309, 1774, 15675, 528, 5226, 714, 1220, 277, 11258, 3040, 5291, 2517, 4178, 31677, 611, 22106, 919, 3820, 270, 638, 714, 335, 27651, 11258, 3040, 595, 6195, 5240, 538, 5623, 4239, 476, 1220, 279, 454, 299, 28515, 1143, 1548, 538, 519, 1158, 1281, 713, 2262, 1611, 888, 23682, 5112, 9218, 3040, 32201, 267, 21464, 3040, 5131, 689, 14882, 267, 27031, 3040, 5131, 689, 27047, 842, 538, 4633, 610, 2962, 3040, 570, 2056, 538, 3870, 540, 5191, 543, 9111, 3040, 27565, 1143, 7957, 832, 519, 2418, 540, 1367, 1143, 454, 1103, 513, 12666, 2486, 972, 568, 1100, 5075, 540, 519, 968, 16591, 1272, 892, 263, 324, 3052, 269, 875, 547, 2661, 707, 1272, 2687, 547, 15806, 267, 3909, 3401, 264, 3040, 1018, 568, 1434, 568, 8726, 1142, 540, 721, 14350, 3442, 585, 6000, 269, 3143, 5837, 4605, 540, 875, 1919, 1058, 581, 269, 3040, 19634, 333, 281, 875, 798, 596, 1711, 513, 19618, 2486, 952, 3025, 568, 5059, 593, 2933, 888, 13706, 281, 3040, 1403, 596, 3494, 782, 1004, 616, 2813, 3160, 267, 1287, 1058, 649, 1930, 938, 10665, 543, 1450, 4896, 547, 2097, 538, 543, 2671, 938, 2200, 609, 873, 286, 6736, 519, 6167, 17083, 540, 7862, 267, 938, 2924, 3247, 693, 519, 8473, 815, 3540, 630, 639, 5288, 873, 264, 3040, 28676, 3964, 12666, 2093, 899, 9111, 547, 3247, 721, 689, 1373, 31345, 676, 519, 1533, 543, 1631, 2829, 2285, 14121, 820, 1346, 2924, 269, 3040, 1548, 798, 649, 798, 609, 2576, 945, 1281, 711, 2097, 689, 513, 2486, 602, 23216, 609, 938, 18765, 540, 12666, 1143, 543, 2924, 286, 1215, 798, 649, 1450, 873, 519, 5191, 547, 957, 607, 789, 5225, 952, 741, 3527, 979, 1996, 938, 2418, 286, 0, 10112, 1005, 1142, 1367, 2875, 781, 4081, 2208, 543, 1967, 568, 519, 3119, 1445, 693, 853, 269, 623, 3780, 16504, 3427, 563, 763, 853, 269, 623, 3780, 4928, 568, 835, 602, 3091, 513, 11826, 6437, 602, 7512, 1646, 540, 2565, 3206, 543, 7744, 1983, 269, 634, 6437, 543, 6044, 568, 13988, 547, 3084, 4441, 799, 2743, 543, 1419, 9765, 519, 5207, 4441, 538, 2069, 269, 5303, 568, 1031, 538, 14966, 609, 930, 540, 519, 811, 2757, 834, 17549, 543, 4050, 257, 3450, 2409, 2059, 609, 6422, 267, 3946, 6823 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1626, 281, 18227, 3776, 645, 3672, 15822, 910, 4197, 24768, 1108, 543, 7313, 2581, 532, 538, 17925, 9622, 2102, 2886, 692, 5331, 596, 2811, 4730, 3544, 593, 513, 4190, 1554, 267, 950, 10393, 596, 1745, 513, 8325, 1928, 1310, 15700, 513, 2030, 269, 2659, 2960, 7140, 2699, 543, 621, 6238, 547, 6633, 256, 1411, 3533, 2196, 3330, 547, 2995, 707, 3158, 1018, 5949, 269, 2701, 17767, 602, 596, 1522, 723, 2097, 883, 3346, 609, 8914, 17488, 344, 543, 9900, 729, 1127, 519, 4299, 1858, 609, 12853, 543, 1216, 269, 1809, 1018, 952, 1346, 2589, 22009, 286, 1548, 1131, 4755, 1287, 286, 901, 3184, 786, 948, 721, 1174, 6757, 1108, 1107, 519, 1353, 540, 875, 6878, 666, 1860, 938, 4703, 543, 2014, 2800, 1107, 543, 15464, 267, 799, 4386, 950, 2576, 3217, 1932, 1454, 540, 513, 6219, 602, 666, 10413, 873, 269, 1284, 3513, 2263, 1114, 2010, 540, 1093, 11143, 543, 741, 2959, 267, 2059, 609, 3268, 649, 666, 1491, 547, 3251, 2922, 543, 2149, 6000, 1282, 2564, 18002, 780, 4131, 781, 1376, 676, 1565, 827, 930, 1455, 3123, 540, 8914, 902, 269, 589, 8914, 3085, 1406, 2141, 1611, 513, 14686, 6219, 282, 3006, 1256, 4948, 3688, 899, 11955, 267, 7738, 7727, 267, 610, 2371, 1223, 1831, 5739, 1759, 593, 519, 2179, 543, 1259, 789, 616, 10057, 269, 1280, 1383, 267, 2921, 811, 982, 519, 5227, 9570, 540, 1022, 4915, 949, 1291, 547, 18473, 2427, 2360, 610, 1256, 3978, 4539, 269, 6684, 267, 18417, 6704, 6926, 778, 610, 824, 2178, 6464, 1336, 896, 10051, 29826, 666, 1267, 538, 4049, 7063, 269, 4634, 1978, 3536, 267, 971, 607, 30637, 610, 32729, 267, 666, 9594, 13027, 6547, 538, 930, 1004, 269, 1924, 267, 6616, 827, 891, 1761, 12178, 1472, 721, 568, 1898, 547, 9363, 2635, 543, 9319, 10913, 780, 3086, 1577, 781, 4685, 4514, 883, 1620, 1946, 1978, 1919, 616, 2808, 6757, 269, 5272, 1591, 538, 938, 1560, 3252, 1813, 547, 1808, 3114, 3157, 269, 1879, 4914, 6878, 4283, 938, 1062, 267, 789, 15936, 609, 891, 2067, 3157, 3056, 547, 4576, 610, 3441, 269, 2368, 6878, 17225, 2792, 1063, 2281, 1247, 1866, 7519, 1418, 1599, 269, 1452, 18063, 666, 8915, 8335, 4470, 2390, 2188, 899, 2085, 267, 2949, 1072, 267, 543, 7274, 3144, 269, 2334, 781, 1946, 4079, 2356, 1995, 7646, 518, 2589, 3379, 547, 1453, 945, 16662, 1549, 958, 8532, 5732, 5906, 2326, 780, 3080, 1895, 540, 6878, 1419, 5532, 547, 15464, 13685, 2882, 17414, 6950, 269, 744, 7032, 6950, 616, 3532, 1928, 26973, 619, 6508, 689, 1566, 1756, 1402, 335, 625, 269, 1358, 4312, 1044, 8246, 585, 5553, 585, 8156, 1585, 5686, 540, 1928, 855, 849, 4163, 4220, 950, 3765, 4310, 269, 3683, 942, 267, 3755, 949, 1020, 10892, 8506, 2362, 13066, 547, 3035, 519, 1482, 1198, 269, 10251, 267, 713, 4679, 519, 8458, 540, 23139, 22536, 4680, 4611, 538, 30281, 7244, 267, 17499, 1145, 267, 543, 1256, 2669, 269, 4340, 547, 7194, 267, 5176, 1079, 2929, 4892, 17388, 609, 13310, 23776, 8213, 538, 476, 1001, 275, 267, 8051, 585, 5215, 540, 28896, 12422, 780, 2414, 2061, 15464, 267, 1934, 616, 930, 4052, 4388, 1384, 265, 15188, 782, 11955, 18172, 856, 540, 3914, 540, 3214, 269, 2422, 1126, 16513, 11149, 8164, 2009, 563, 265, 8550, 3575, 7622, 2472, 1927, 8259, 9859, 676, 741, 10297, 269, 17186, 532, 20342, 543, 6926, 778, 7472, 13818, 9362, 563, 265, 11408, 1246, 5528, 5402, 950, 1210, 13851, 267, 18168, 267, 610, 16669, 12862, 563, 265, 17546, 3214, 2760, 547, 6492, 610, 5905, 14542, 3615, 267, 2523, 1346, 609, 9490, 24462, 610, 4778, 563, 265, 5403, 6595, 2338, 2282, 7658, 10746, 693, 1753, 543, 1982, 873, 883, 5985, 3457, 780, 1103, 2013, 540, 16143, 15464, 267, 2611, 9350, 543, 957, 24847, 1384, 265, 11910, 2199, 8914, 1852, 7740, 5612, 693, 476, 272, 268, 8517, 268, 19442, 268, 14338, 273, 1369, 519, 772, 2529, 1421, 2139, 476, 2190, 3108, 513, 1554, 267, 5722, 2395, 513, 3018, 563, 265, 1403, 519, 1268, 3884, 1405, 7244, 267, 1685, 31214, 610, 946, 606, 12747, 5007, 1219, 2320, 650, 1807, 630, 288, 3633, 1070, 952, 8036, 563, 265, 20780, 519, 8708, 610, 6003, 540, 519, 1587, 3238, 547, 5351, 8446, 780, 3528, 1620, 2596, 3741, 540, 6757, 1108, 543, 8026, 3106, 3800, 267, 649, 666, 7413, 4220, 2404, 609, 8914, 4598, 543, 3927, 4431, 1282, 12963, 18002, 269, 5457, 267, 4656, 543, 7041, 616, 1883, 3334, 538, 5329, 938, 4703, 2922, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 305, 659, 3559, 590, 269, 654, 697, 2006, 267, 11022, 454, 10112, 9665, 7905, 540, 17073, 6925, 454, 19667, 1707, 540, 6481, 24768, 1108, 454, 2704, 13630, 6481, 3427, 540, 9466, 2160, 454, 17206, 17073, 6925, 7690, 454, 297, 6756, 3405, 773, 3131, 337, 821, 267, 11022, 674, 3722, 21587, 454, 23178, 267, 17073, 6925, 454, 17445, 528, 267, 6481, 24768, 1108, 454, 23430, 540, 17073, 6925, 454, 17206, 540, 12425, 3427, 540, 6925, 454, 302, 7032, 6950, 616, 2500, 585, 2126, 540, 8650, 1928, 538, 519, 17073, 4972, 269, 14956, 1756, 543, 922, 16755, 723, 1044, 1031, 585, 27453, 1312, 1199, 1227, 585, 1387, 2471, 807, 543, 1875, 2173, 539, 1227, 585, 28400, 5562, 2360, 267, 543, 2042, 609, 23776, 6057, 723, 17706, 13554, 2429, 269, 4653, 267, 23776, 1387, 2471, 923, 616, 519, 1034, 4122, 11311, 1362, 540, 6527, 538, 519, 2136, 2276, 543, 1072, 1416, 8502, 1095, 18587, 616, 513, 2101, 2707, 540, 11651, 1540, 17414, 6950, 269, 630, 24922, 476, 1001, 275, 320, 264, 769, 476, 1001, 275, 267, 3592, 476, 273, 2929, 4892, 26884, 610, 941, 8200, 593, 13310, 17414, 6950, 267, 476, 1240, 267, 8660, 274, 30072, 7972, 689, 13310, 17414, 6950, 7018, 267, 543, 972, 941, 476, 1015, 267, 6872, 275, 7972, 689, 5869, 514, 269, 630, 24922, 476, 1001, 275, 321, 267, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 307, 16464, 1108, 543, 7313, 2581, 532, 257, 607, 851, 540, 834, 25503, 1315, 17925, 9622, 2102, 2886, 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, 7170, 281, 4197, 2817, 14740, 998, 21977, 9085, 692, 5331, 596, 723, 1175, 6410, 547, 513, 6216, 1007, 2197, 1141, 3388, 4667, 1114, 910, 519, 1893, 267, 1426, 267, 9821, 267, 543, 5389, 269, 2311, 1101, 267, 621, 1522, 1745, 2182, 547, 3514, 538, 543, 1289, 713, 1747, 707, 1378, 269, 1809, 936, 942, 267, 607, 596, 1451, 827, 519, 2528, 267, 2743, 1007, 1004, 267, 543, 1256, 9772, 930, 2199, 6208, 267, 596, 1376, 4743, 899, 596, 4866, 269, 901, 1184, 540, 3384, 513, 2631, 540, 10362, 543, 4276, 547, 513, 1880, 1895, 540, 1004, 267, 2436, 621, 779, 513, 2146, 267, 4182, 267, 610, 14940, 267, 568, 1018, 649, 1289, 2679, 3084, 3961, 780, 1103, 938, 3309, 1158, 267, 1620, 875, 1866, 1106, 741, 3084, 9163, 666, 948, 721, 5660, 519, 17381, 540, 1480, 2833, 269, 4653, 267, 1577, 781, 2263, 835, 4241, 1383, 1107, 12907, 543, 922, 2189, 5339, 6561, 2439, 308, 330, 9627, 814, 513, 7524, 1686, 4904, 609, 2984, 602, 7866, 519, 9620, 267, 29217, 267, 543, 9909, 540, 922, 1004, 269, 1635, 6313, 891, 6386, 267, 649, 666, 1732, 1174, 875, 19678, 2103, 4646, 741, 3084, 3961, 269, 2913, 781, 4685, 883, 1614, 3344, 540, 713, 9159, 3460, 281, 1893, 267, 3140, 2621, 267, 543, 3838, 2418, 780, 1262, 23458, 281, 4045, 532, 4658, 543, 26492, 4373, 9617, 899, 1565, 2296, 2337, 596, 5968, 609, 4892, 267, 21977, 3332, 13462, 19678, 2103, 998, 741, 5065, 11469, 269, 5678, 4249, 513, 1713, 1909, 538, 8108, 513, 3084, 3961, 1317, 621, 9356, 513, 2146, 781, 7104, 7326, 267, 9644, 267, 543, 5876, 269, 1879, 4589, 2328, 538, 21977, 267, 789, 8190, 741, 3993, 11469, 1247, 4687, 3532, 6835, 602, 13469, 7184, 1369, 741, 2686, 5858, 780, 2690, 3236, 267, 4583, 1568, 971, 607, 20579, 553, 2701, 341, 7770, 14150, 781, 834, 298, 984, 345, 541, 2437, 15776, 807, 9487, 571, 1074, 320, 781, 834, 299, 529, 13960, 623, 529, 11844, 630, 763, 11206, 14576, 1070, 257, 543, 25909, 7671, 334, 781, 834, 289, 10394, 4790, 2774, 528, 257, 782, 8329, 3648, 547, 5935, 2413, 21977, 2219, 543, 1582, 18221, 269, 1452, 25704, 941, 2854, 1210, 2757, 21977, 9647, 2762, 267, 799, 2417, 4396, 1881, 519, 22464, 540, 519, 5339, 1893, 780, 1262, 23208, 15638, 16001, 9961, 1686, 267, 1585, 2621, 8032, 12907, 781, 22038, 269, 3245, 32042, 543, 23909, 547, 26201, 543, 7115, 5322, 267, 1142, 2680, 2451, 606, 30170, 1665, 593, 19678, 2103, 262, 9637, 269, 3509, 7986, 21977, 4589, 9676, 1346, 8090, 538, 741, 12591, 267, 4543, 2104, 5481, 3314, 543, 8956, 741, 2250, 269, 1280, 1383, 267, 1282, 2622, 2782, 4083, 267, 1082, 12703, 7980, 10692, 1996, 4914, 14699, 267, 11121, 3875, 9089, 267, 29946, 267, 543, 9954, 14120, 5869, 1143, 543, 6043, 780, 3080, 8037, 2278, 945, 13006, 11358, 5712, 729, 744, 956, 12968, 10420, 269, 3571, 3209, 834, 306, 984, 528, 630, 29272, 14366, 17983, 12538, 883, 8168, 2445, 643, 1436, 4507, 543, 741, 14042, 1764, 593, 6917, 2950, 269, 6684, 267, 962, 584, 12011, 1744, 7815, 321, 752, 781, 834, 303, 990, 626, 605, 594, 330, 3415, 630, 307, 1446, 6168, 594, 4621, 17983, 3091, 4030, 883, 3909, 20655, 896, 25399, 269, 5637, 1568, 4196, 607, 22880, 23106, 540, 12907, 781, 24360, 2250, 543, 3565, 547, 922, 9687, 3084, 3961, 780, 1262, 4537, 1563, 18880, 16001, 7661, 267, 3695, 1455, 4978, 543, 3741, 4371, 15210, 676, 19678, 2103, 2636, 721, 547, 9787, 519, 9759, 540, 741, 3084, 6891, 269, 3414, 3332, 267, 4798, 540, 5191, 267, 2648, 585, 519, 2244, 267, 1920, 13218, 267, 24756, 267, 5132, 267, 543, 32742, 10836, 14578, 269, 1358, 13686, 519, 4295, 2418, 19644, 676, 19678, 2103, 2429, 5553, 543, 2066, 10923, 6302, 780, 288, 6305, 1383, 1131, 581, 670, 787, 1817, 12011, 4787, 990, 528, 18649, 267, 1634, 607, 12907, 781, 6574, 14544, 1790, 334, 564, 269, 1261, 23647, 2713, 32069, 609, 2470, 543, 15091, 5837, 21644, 899, 19969, 543, 8296, 269, 6271, 3879, 13577, 4137, 568, 7754, 553, 3733, 337, 5500, 267, 4171, 10853, 26007, 540, 4948, 1272, 14129, 1514, 5126, 543, 7862, 1851, 27998, 543, 28665, 7567, 780, 3528, 1631, 267, 596, 1590, 1294, 875, 5704, 2299, 18955, 3332, 568, 883, 12907, 781, 3084, 5958, 269, 1306, 596, 3136, 12423, 824, 4529, 543, 2148, 2137, 1472, 519, 8608, 267, 1832, 538, 2247, 602, 1142, 4062, 5713, 607, 513, 6885, 883, 602, 1895, 781, 9997, 267, 13031, 1312, 2591, 5185, 543, 24984, 6913, 2059, 741, 2619, 2509, 513, 19618, 3961, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 16978, 3055, 7732, 540, 21977, 9085, 454, 1607, 593, 268, 4707, 5697, 23064, 15853, 786, 3801, 547, 3561, 519, 1034, 1271, 4930, 593, 21977, 3332, 3370, 538, 17454, 12677, 14046, 13746, 543, 10070, 269, 898, 568, 513, 27402, 267, 23344, 609, 513, 811, 7522, 1445, 267, 540, 1250, 3102, 12190, 13132, 8720, 2835, 267, 4930, 267, 16627, 543, 1433, 8039, 267, 543, 3370, 607, 3194, 5359, 676, 519, 8225, 4659, 540, 21977, 5525, 693, 519, 1133, 1853, 560, 344, 540, 22598, 2094, 476, 2735, 279, 269, 22419, 5461, 538, 4505, 12326, 616, 9415, 547, 2070, 519, 5907, 14583, 540, 1250, 15853, 693, 4179, 2517, 339, 7568, 9155, 5652, 269, 11301, 857, 269, 12460, 15193, 28022, 270, 601, 592, 270, 12626, 270, 308, 4041, 270, 4586, 7093, 335, 1563, 2523, 585, 519, 634, 21977, 22588, 569, 589, 4750, 540, 21977, 543, 4139, 16457, 267, 519, 1459, 15853, 786, 581, 4797, 538, 7766, 2152, 24682, 607, 1007, 2326, 1831, 2139, 547, 519, 29085, 543, 607, 519, 4930, 616, 1224, 543, 23064, 269, 25927, 28375, 540, 21977, 5830, 262, 4408, 543, 10643, 540, 741, 960, 538, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 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 ]

[ 0, 763, 1686, 540, 744, 12112, 32231, 595, 2714, 720, 454, 302, 12112, 32231, 595, 2714, 720, 568, 513, 18803, 6694, 2978, 537, 17243, 779, 32119, 538, 519, 2295, 540, 6917, 4639, 5080, 9445, 269, 634, 32119, 7389, 689, 519, 3735, 476, 1626, 628, 547, 2038, 476, 1704, 628, 2540, 543, 899, 1082, 6469, 5656, 814, 7960, 607, 513, 1587, 540, 922, 10450, 563, 1607, 2370, 32119, 267, 538, 606, 3413, 23308, 543, 29245, 851, 540, 4789, 267, 568, 606, 8966, 6668, 1317, 621, 814, 2097, 998, 519, 14206, 2540, 711, 7357, 796, 5306, 1229, 855, 6157, 711, 2413, 2213, 563, 763, 32119, 729, 2016, 547, 519, 2817, 11565, 538, 476, 4198, 275, 676, 7323, 966, 5028, 20152, 543, 7323, 19468, 29029, 18832, 14979, 2353, 325, 9445, 269, 634, 19946, 9715, 519, 32119, 538, 476, 4350, 278, 547, 7110, 513, 1297, 540, 26181, 1137, 789, 11262, 1369, 519, 8498, 540, 670, 3711, 1194, 517, 269, 1358, 9715, 2789, 26181, 1137, 1369, 519, 8498, 547, 4688, 519, 4557, 1218, 689, 859, 2109, 543, 547, 1450, 873, 547, 2611, 538, 741, 5321, 269, 634, 2353, 325, 9445, 19946, 267, 538, 2490, 267, 5293, 713, 14769, 547, 519, 2817, 11565, 2390, 519, 2783, 602, 519, 26181, 1137, 941, 968, 2254, 1577, 547, 1134, 3562, 28273, 1004, 6100, 744, 12112, 32231, 595, 2714, 720, 729, 5030, 538, 676, 6004, 543, 11427, 11518, 2044, 2394, 23413, 11518, 2044, 779, 2669, 538, 476, 2735, 274, 269, 634, 1152, 23456, 540, 29678, 941, 513, 2582, 11690, 23094, 543, 513, 4411, 4881, 7148, 563, 2005, 729, 713, 3668, 540, 2413, 5314, 799, 1500, 519, 32119, 513, 678, 10846, 267, 513, 1463, 3095, 1394, 547, 519, 1514, 1686, 540, 519, 3148, 543, 519, 6917, 1259, 540, 1272, 1631, 3592, 5293, 689, 3965, 563, 288, 1900, 1394, 538, 942, 454, 763, 32119, 814, 1044, 7677, 1639, 607, 621, 1522, 723, 7902, 538, 519, 4571, 476, 866, 628, 2540, 267, 607, 519, 1920, 1753, 540, 513, 3484, 2978, 537, 17243, 267, 5356, 513, 4334, 547, 519, 2197, 544, 6416, 8075, 540, 519, 3148, 543, 3246, 606, 8076, 12705, 540, 2324, 11665, 6917, 1272, 540, 519, 1974, 563, 2467, 568, 2241, 4052, 11647, 538, 519, 32119, 267, 15429, 1740, 31910, 1206, 267, 513, 1159, 1442, 267, 3694, 14089, 267, 19060, 1769, 23156, 3620, 1245, 619, 543, 10051, 16292, 269, 589, 3595, 11127, 814, 1044, 1500, 676, 513, 2199, 17051, 19431, 543, 18795, 538, 519, 5873, 628, 799, 1131, 723, 1044, 519, 10418, 540, 32119, 1753, 1272, 269, 4107, 540, 519, 5986, 17102, 1934, 2501, 689, 717, 1068, 337, 8775, 808, 2131, 22690, 779, 1378, 4015, 799, 1352, 2451, 547, 519, 5080, 9445, 16329, 1670, 5980, 563, 27916, 2610, 543, 5726, 454, 1103, 476, 1001, 276, 267, 744, 12112, 32231, 595, 2714, 720, 23384, 3573, 5726, 960, 7064, 547, 513, 21464, 21856, 689, 4639, 5080, 9445, 2817, 11565, 10418, 1299, 5948, 543, 519, 1489, 540, 519, 744, 12112, 32231, 595, 2714, 720, 27545, 9730, 543, 670, 3711, 1194, 517, 3474, 880, 7027, 563, 763, 1568, 693, 744, 12112, 32231, 595, 2714, 720, 3769, 18203, 547, 519, 8122, 2497, 593, 519, 4395, 540, 519, 32119, 267, 1519, 519, 986, 1123, 338, 267, 18109, 3675, 1235, 543, 18959, 518, 6885, 269, 12465, 2326, 971, 607, 18654, 29147, 543, 678, 1508, 4234, 1127, 941, 1031, 543, 519, 1184, 814, 7000, 4241, 10881, 540, 2250, 23477, 563, 1103, 476, 1708, 273, 267, 2417, 11808, 1568, 3576, 1747, 547, 7816, 519, 13210, 1813, 547, 7449, 2064, 543, 519, 5580, 6989, 729, 556, 26455, 563, 288, 12595, 851, 540, 519, 2146, 454, 302, 12112, 32231, 2458, 720, 18795, 538, 519, 2295, 540, 519, 8498, 540, 670, 3711, 1194, 517, 543, 568, 513, 1454, 2000, 3437, 851, 540, 519, 2146, 269, 898, 568, 7064, 547, 519, 2818, 540, 519, 25110, 543, 824, 2199, 13538, 602, 649, 666, 1930, 519, 32119, 547, 519, 1857, 269, 1358, 2709, 741, 1489, 676, 9117, 607, 4663, 10274, 543, 4509, 519, 4677, 563, 9303, 7595, 5656, 616, 513, 14951, 7708, 557, 540, 2984, 267, 1148, 543, 10070, 269, 6258, 811, 827, 1018, 2306, 891, 4025, 865, 2027, 543, 1544, 707, 3643, 563, 2304, 11977, 1014, 5428, 2777, 609, 1350, 7867, 532, 2892, 3019, 267, 519, 9677, 1014, 544, 6416, 693, 670, 2255, 4133, 543, 519, 2413, 25010, 540, 595, 1633, 517, 616, 1175, 930, 540, 519, 8075, 543, 5656, 7996, 547, 581, 8268, 269, 0, 15031, 1181, 23721, 7689, 4643, 454, 288, 15262, 543, 22916, 517, 5373, 4904, 609, 1082, 3270, 454, 268, 13185, 827, 543, 5581, 623, 2969, 9898, 301, 543, 29135, 9169, 290, 4338, 292, 563, 268, 1401, 3031, 527, 5439, 540, 930, 4583, 8916, 543, 1865, 519, 2553, 543, 3615, 519, 7376, 1031, 538, 741, 5251, 563, 268, 3657, 972, 1022, 7298, 3270, 888, 268, 1548, 5686, 540, 4778, 941, 1031, 888, 268, 27673, 11709, 717, 26710, 779, 10060, 787, 13957, 476, 6642, 280, 543, 5453, 520, 7615, 609, 595, 2988, 816, 476, 6642, 280, 616, 1079, 1434, 1806, 454, 268, 8058, 519, 4806, 7663, 16980, 563, 268, 5620, 1053, 2721, 741, 1378, 2093, 540, 3270, 454, 268, 5269, 513, 1592, 540, 1919, 596, 1522, 1265, 538, 513, 5251, 630, 15711, 267, 4054, 267, 8075, 267, 15113, 267, 5810, 267, 3092, 8094, 268, 10670, 5251, 5373, 563, 268, 3399, 2875, 1055, 609, 2596, 3615, 563, 268, 3816, 785, 1053, 547, 2721, 609, 12508, 630, 335, 16993, 786, 581, 4904, 538, 609, 22916, 517, 538, 519, 1985, 8400, 1916, 268, 1403, 22796, 616, 1031, 585, 519, 3355, 17250, 1118, 2386, 602, 782, 15513, 3515, 616, 4988, 936, 610, 2144, 1078, 1991, 547, 4946, 4778, 563, 268, 11559, 1053, 547, 1039, 6266, 540, 3606, 3615, 543, 3877, 563, 268, 4495, 519, 12400, 616, 2347, 267, 946, 22916, 976, 547, 2681, 3270, 6445, 538, 519, 5546, 543, 3615, 563, 268, 11559, 1053, 547, 721, 513, 3099, 540, 3270, 454, 268, 28582, 547, 519, 4806, 7663, 16980, 674, 454, 268, 19130, 538, 519, 3003, 5373, 609, 2681, 630, 20391, 267, 2244, 267, 4054, 267, 5656, 267, 3092, 28593, 268, 5410, 18138, 18953, 269, 5269, 2386, 602, 5961, 616, 2347, 269, 9906, 779, 2012, 1058, 581, 9102, 593, 519, 4395, 267, 476, 272, 16357, 2476, 689, 519, 1957, 6316, 269, 5269, 2386, 547, 2594, 519, 2875, 2012, 267, 3446, 270, 974, 12329, 543, 1153, 267, 538, 15513, 267, 593, 519, 1394, 540, 519, 11247, 454, 22492, 7064, 547, 631, 12282, 269, 23664, 985, 651, 267, 3203, 3447, 1807, 7711, 6660, 342, 879, 27365, 267, 654, 296, 585, 713, 3992, 1544, 2336, 294, 10232, 476, 272, 1299, 476, 273, 454, 273, 4147, 590, 32268, 454, 268, 476, 279, 476, 272, 270, 273, 16357, 1535, 476, 1556, 16357, 3043, 1148, 1957, 454, 268, 12508, 630, 18872, 1299, 4158, 4778, 994, 268, 4806, 7663, 16980, 454, 268, 1806, 540, 4583, 5159, 685, 8916, 454, 268, 1383, 540, 519, 1788, 0, 290, 727, 543, 581, 851, 540, 513, 2518, 5639, 585, 3552, 2371, 543, 13271, 454, 1607, 15489, 267, 948, 721, 1265, 519, 6628, 779, 1034, 7990, 995, 543, 1271, 13271, 1107, 14589, 322, 2355, 563, 24456, 5158, 779, 8262, 12315, 8285, 7420, 476, 2764, 8734, 268, 476, 276, 5463, 267, 1118, 513, 2318, 1764, 538, 7863, 7415, 6132, 2380, 563, 7883, 519, 3063, 13304, 543, 2196, 3552, 585, 7233, 5158, 454, 289, 22877, 513, 7233, 5158, 4759, 2221, 543, 1927, 649, 786, 25580, 513, 1158, 3638, 538, 2371, 543, 13271, 454, 5649, 538, 281, 2296, 290, 2096, 571, 1122, 454, 305, 27654, 519, 4414, 454, 2171, 917, 972, 616, 930, 13155, 3662, 2249, 538, 519, 1158, 267, 855, 1705, 596, 917, 930, 540, 938, 2371, 616, 849, 12219, 676, 14486, 888, 763, 1434, 3377, 568, 9494, 873, 568, 2009, 269, 3371, 616, 1614, 2371, 2249, 602, 616, 13155, 538, 12986, 543, 519, 32263, 960, 602, 779, 1373, 2944, 547, 3142, 873, 1394, 689, 519, 1490, 1074, 540, 14486, 563, 1607, 568, 938, 1152, 5065, 2249, 540, 595, 582, 821, 2120, 538, 12986, 267, 595, 582, 821, 2120, 524, 3711, 878, 639, 267, 543, 538, 519, 476, 3192, 271, 338, 621, 729, 1524, 547, 607, 1906, 607, 1152, 476, 277, 2371, 538, 519, 3552, 267, 1818, 621, 3486, 9691, 13155, 2336, 2005, 779, 1152, 1336, 538, 519, 4279, 2107, 1889, 594, 5183, 2282, 700, 1633, 644, 7224, 267, 1141, 938, 15466, 2371, 11464, 267, 7605, 29560, 267, 1568, 7258, 519, 2817, 11565, 267, 1230, 14567, 6019, 16907, 965, 7027, 267, 7849, 8249, 12986, 267, 623, 2177, 307, 267, 543, 519, 4557, 656, 16027, 267, 8355, 13643, 267, 547, 1178, 2763, 519, 2244, 538, 513, 1259, 602, 2640, 519, 2249, 563, 1607, 267, 19610, 609, 3646, 547, 2030, 856, 1762, 2371, 723, 1044, 513, 759, 15929, 1967, 267, 543, 649, 4076, 8854, 689, 476, 277, 547, 1134, 936, 476, 3583, 2371, 269, 1284, 616, 1631, 2324, 609, 1382, 1053, 267, 8355, 543, 7066, 18485, 7762, 23307, 4677, 547, 1174, 519, 5222, 602, 2242, 547, 21737, 2853, 723, 593, 713, 2249, 267, 865, 602, 649, 666, 1174, 875, 1655, 547, 4383, 585, 621, 538, 519, 2104, 563, 1432, 649, 2461, 4466, 568, 602, 5883, 547, 1489, 713, 2249, 568, 2348, 22545, 6823, 2318, 2360, 593, 824, 2249, 593, 519, 4279, 2107, 1889, 267, 799, 9727, 875, 6098, 2249, 6051, 960, 666, 723, 513, 22107, 8172, 2318, 4324, 3564, 602, 2249, 267, 856, 883, 519, 9962, 5117, 563, 1607, 1507, 267, 13566, 21730, 2030, 267, 513, 4759, 540, 519, 546, 28888, 542, 1920, 267, 568, 18368, 9691, 13155, 269, 898, 2306, 922, 1753, 593, 519, 1034, 538, 17739, 1043, 7823, 19527, 540, 661, 787, 686, 630, 306, 852, 323, 8205, 1070, 1141, 621, 568, 2922, 689, 17522, 563, 4913, 267, 1813, 547, 519, 4657, 2916, 267, 1256, 891, 7254, 9822, 2456, 616, 4742, 11375, 2214, 3386, 267, 621, 568, 1312, 12777, 543, 19562, 8271, 856, 593, 519, 1360, 6316, 563, 21132, 13283, 585, 538, 17739, 1043, 4025, 267, 2306, 621, 16609, 630, 1729, 2161, 519, 2547, 264, 547, 6895, 269, 1717, 267, 5726, 543, 3665, 5026, 13988, 950, 7605, 29560, 267, 5981, 25306, 543, 19375, 681, 12578, 4682, 856, 593, 887, 6647, 547, 5619, 585, 713, 7823, 14951, 269, 4256, 3646, 723, 7000, 602, 519, 2030, 779, 2551, 814, 2799, 689, 476, 273, 2043, 267, 547, 476, 275, 2336, 4407, 602, 568, 1869, 32049, 569, 1906, 267, 621, 4564, 513, 30945, 540, 519, 2518, 2551, 540, 713, 2249, 267, 543, 3947, 721, 4126, 602, 609, 1489, 267, 891, 5095, 666, 9156, 563, 2171, 616, 30590, 547, 723, 4607, 7616, 585, 715, 4405, 993, 1635, 628, 29755, 12986, 685, 17514, 1222, 2249, 6051, 1788, 799, 649, 616, 851, 540, 267, 2059, 609, 8370, 824, 2825, 1347, 885, 269, 7605, 29560, 786, 581, 3056, 593, 519, 570, 569, 338, 879, 631, 2106, 344, 9536, 661, 787, 686, 630, 300, 20667, 4035, 1564, 540, 16176, 323, 8205, 264, 547, 1683, 606, 17170, 3076, 5202, 547, 2249, 899, 16176, 18484, 8316, 330, 15634, 563, 5629, 519, 1788, 5956, 538, 5181, 649, 2461, 2469, 547, 581, 2324, 609, 519, 2817, 11565, 547, 4383, 519, 21737, 540, 13265, 543, 23161, 593, 519, 7823, 267, 799, 786, 23248, 1711, 811, 3768, 626, 32328, 7226, 585, 713, 2249, 547, 3935, 1125, 563, 1607, 7823, 13049, 568, 851, 540, 513, 24194, 540, 2249, 602, 729, 2899, 7839, 782, 2066, 519, 5177, 543, 2342, 267, 519, 11848, 25575, 335, 1149, 563, 16729, 519, 2063, 10979, 6520, 621, 1131, 723, 1044, 1336, 936, 513, 1804, 6708, 540, 6628, 267, 855, 3935, 5314, 540, 2249, 689, 519, 5045, 607, 5210, 723, 24111, 814, 4718, 621, 18956, 547, 782, 855, 938, 5207, 7823, 25568, 267, 1141, 519, 5993, 5210, 616, 18481, 3579, 563, 1607, 2249, 568, 1362, 539, 607, 12219, 593, 519, 5177, 1377, 2699, 1592, 267, 1256, 1498, 11451, 621, 779, 1044, 12290, 607, 2274, 770, 19634, 333, 630, 527, 666, 581, 1336, 2066, 519, 620, 18090, 8916, 540, 2342, 1040, 3962, 2249, 568, 2731, 1271, 851, 540, 938, 2067, 6561, 543, 547, 6336, 513, 2249, 5065, 547, 513, 2197, 4564, 513, 1713, 2530, 267, 711, 1152, 15520, 267, 855, 3235, 10999, 1932, 563, 305, 657, 344, 1094, 343, 604, 14141, 568, 835, 971, 2249, 602, 649, 4076, 4503, 267, 621, 568, 1631, 17255, 538, 519, 3552, 538, 12986, 269, 1809, 3646, 616, 25093, 547, 32543, 28558, 621, 547, 513, 4693, 3135, 2663, 713 ]

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

[ 3318, 10618, 5094, 269, 634, 813, 568, 2653, 547, 946, 543, 2141, 6325, 267, 865, 596, 666, 3251, 4448, 609, 707, 17066, 1510, 1022, 2042, 563, 2791, 666, 849, 946, 7956, 337, 593, 707, 2780, 267, 865, 596, 666, 3362, 6494, 543, 4309, 5931, 689, 707, 18376, 563, 17806, 337, 568, 3501, 585, 1870, 4648, 610, 4896, 602, 6499, 547, 1832, 741, 2123, 543, 3318, 1272, 6896, 543, 9674, 563, 2252, 596, 2461, 3168, 585, 513, 6325, 543, 2653, 3562, 14025, 1257, 20261, 813, 267, 7956, 337, 568, 513, 1390, 4781, 269, 898, 779, 3501, 585, 1870, 10618, 267, 543, 621, 779, 2141, 6325, 543, 13462, 3533, 269, 8437, 1934, 547, 2119, 621, 2221, 256, 0, 2005, 568, 1655, 1634, 585, 2348, 1152, 2185, 11317, 543, 7654, 1373, 519, 3803, 16889, 1747, 540, 519, 19416, 3751, 14880, 563, 3719, 1631, 962, 333, 903, 2037, 25651, 267, 610, 645, 731, 8124, 6816, 267, 814, 513, 1007, 3409, 547, 21239, 281, 519, 6263, 6552, 6532, 538, 12986, 13166, 814, 835, 540, 519, 1655, 3781, 22839, 538, 519, 1158, 563, 2005, 568, 519, 1101, 3135, 538, 2342, 547, 4309, 4139, 14730, 21708, 5842, 551, 4231, 630, 2839, 7704, 264, 13995, 267, 11836, 476, 1626, 824, 4609, 5001, 6444, 607, 519, 1034, 6552, 543, 4158, 4025, 593, 3047, 563, 763, 3972, 602, 22595, 962, 333, 903, 2037, 25651, 1107, 1753, 547, 1175, 513, 19625, 540, 7264, 855, 609, 1100, 1292, 338, 5201, 267, 6517, 610, 11255, 30079, 1107, 1767, 8236, 971, 968, 2181, 560, 16406, 4567, 892, 729, 513, 968, 21346, 633, 9740, 9731, 15447, 333, 607, 2048, 1492, 6532, 540, 476, 736, 267, 1822, 25598, 685, 1317, 540, 519, 9277, 1297, 540, 30401, 543, 519, 22469, 543, 4168, 20708, 625, 602, 723, 1044, 4092, 972, 2094, 519, 476, 277, 628, 2540, 267, 2963, 5267, 602, 645, 731, 8124, 729, 20948, 607, 2484, 1394, 607, 519, 27705, 6520, 563, 1805, 14019, 13957, 281, 962, 333, 903, 2037, 25651, 267, 610, 645, 731, 8124, 6816, 267, 1055, 519, 5032, 540, 3345, 12986, 267, 568, 519, 1101, 3135, 538, 2342, 547, 4309, 4139, 14730, 21708, 5842, 551, 4231, 13995, 267, 11836, 476, 1626, 1866, 5001, 454, 7230, 1774, 281, 634, 3972, 602, 22595, 962, 333, 903, 2037, 25651, 1107, 1753, 547, 1175, 513, 19625, 540, 7264, 855, 1100, 1292, 338, 5201, 267, 6517, 610, 11255, 30079, 1107, 1767, 11543, 971, 968, 2181, 560, 15607, 4567, 892, 729, 513, 968, 21346, 633, 9740, 7536, 1103, 519, 2038, 5664, 12698, 267, 519, 6532, 729, 835, 540, 519, 2868, 5006, 4025, 538, 6628, 1256, 3494, 621, 547, 581, 519, 3803, 16889, 1747, 540, 519, 19416, 3751, 14880, 563, 2467, 616, 1079, 1292, 2188, 602, 1118, 962, 333, 903, 2037, 25651, 835, 540, 519, 4158, 652, 4025, 538, 519, 5177, 563, 20062, 2969, 4959, 667, 2752, 298, 27699, 312, 590, 3198, 6311, 308, 14473, 595, 2207, 2316, 293, 2975, 9569, 888, 763, 4139, 14730, 21708, 23089, 13995, 1184, 568, 2147, 547, 824, 5726, 543, 2825, 5726, 3292, 971, 607, 519, 20648, 2622, 11595, 26317, 563, 2467, 616, 1896, 6688, 267, 1519, 4158, 6607, 11614, 267, 2950, 267, 14425, 267, 7254, 9822, 2456, 267, 543, 4683, 3781, 6607, 4025, 563, 10376, 7121, 814, 922, 1378, 4808, 1759, 593, 2244, 2359, 267, 2450, 543, 2011, 2298, 563, 291, 1046, 6607, 7254, 9822, 2456, 1590, 581, 593, 1857, 610, 4357, 2244, 267, 1930, 547, 519, 1857, 538, 2898, 610, 538, 851, 267, 543, 1590, 1683, 11108, 5784, 1141, 519, 21386, 540, 519, 3781, 6607, 568, 22991, 3160, 547, 610, 18632, 982, 476, 2641, 269, 276, 3172, 6421, 829, 4009, 9095, 2034, 563, 763, 4139, 14730, 4149, 5652, 5948, 1281, 711, 2824, 519, 4609, 267, 789, 616, 7363, 9930, 3990, 676, 513, 1507, 1895, 540, 2043, 945, 10891, 547, 3343, 6101, 4027, 585, 741, 3781, 5251, 563, 763, 1101, 568, 519, 4087, 1107, 1079, 5195, 689, 519, 9133, 540, 519, 24510, 385, 371, 333, 18686, 538, 3345, 12986, 1107, 543, 519, 2034, 568, 519, 4087, 10923, 2934, 563, 763, 6532, 779, 7823, 6411, 607, 513, 11064, 547, 3970, 1769, 689, 519, 22163, 267, 799, 1797, 519, 1034, 1713, 1769, 5533, 2501, 689, 25212, 811, 982, 476, 3583, 5195, 630, 12208, 269, 277, 5998, 264, 2066, 519, 9721, 7256, 563, 306, 1014, 853, 864, 344, 267, 30626, 540, 519, 645, 731, 8124, 6816, 11565, 267, 1767, 281, 2048, 2467, 568, 1100, 8969, 602, 8236, 713, 20380, 4567, 585, 962, 333, 903, 2037, 25651, 786, 6318, 519, 6532, 779, 9043, 607, 513, 2189, 1747, 538, 12986, 543, 835, 540, 519, 1655, 538, 519, 1158, 585, 3781, 8384, 269, 5660, 13140, 563, 14071, 4126, 621, 786, 849, 1118, 513, 2101, 9295, 547, 17516, 519, 1279, 3856, 6940, 540, 519, 6532, 3034, 310, 2297, 2907, 814, 1896, 14730, 21708, 4609, 543, 14425, 267, 855, 4609, 11280, 607, 7254, 9822, 2456, 616, 1454, 4686, 337, 543, 723, 31749, 7355, 585, 519, 2298, 540, 519, 3781, 6607, 563, 763, 2551, 540, 962, 333, 903, 2037, 25651, 814, 11385, 730, 936, 519, 5553, 267, 855, 2221, 621, 568, 1753, 547, 513, 1507, 2146, 540, 7264, 945, 3484, 519, 2244, 543, 3165, 689, 519, 6532, 563, 2467, 616, 849, 476, 1015, 9702, 5321, 267, 609, 8436, 4847, 1063, 4728, 543, 5239, 563, 763, 6263, 2146, 568, 1152, 3015, 676, 10935, 689, 513, 1507, 22163, 10068, 8498, 267, 855, 5553, 3516, 519, 12701, 540, 2244, 729, 835, 540, 6628, 779, 1034, 1271, 3909, 4609, 563, 763, 476, 272, 269, 276, 28902, 6532, 729, 513, 4168, 31145, 3135, 538, 519, 5664, 12698, 1107, 950, 621, 729, 1767, 602, 1614, 11564, 547, 645, 731, 8124, 3160, 539, 835, 3643, 547, 7507, 563, 300, 926, 13535, 9749, 568, 835, 540, 519, 3354, 22651, 693, 962, 333, 903, 2037, 25651, 543, 814, 1044, 851, 540, 519, 17890, 13995, 1184, 563, 2108, 2691, 594, 2661, 1934, 267, 594, 6557, 2141, 538, 25713, 540, 519, 6532, 779, 5898, 2443, 543, 519, 3781, 6607, 568, 513, 2462, 851, 540, 602, 2223, 1352, 1767, 563, 2108, 16352, 5833, 13995, 267, 649, 1413, 4464, 547, 22205, 8436, 1934, 538, 519, 4947, 3275, 543, 1296, 543, 4687, 938, 2189, 1650, 609, 873, 563, 5141, 846, 10275, 27848, 281, 962, 333, 903, 2037, 25651, 779, 2551, 814, 11385, 730, 936, 519, 5553, 267, 855, 2221, 621, 568, 1753, 547, 513, 1507, 2146, 540, 7264, 945, 960, 519, 2244, 543, 3165, 689, 519, 6532, 454, 23613, 1686, 281, 962, 333, 903, 2037, 25651, 568, 1767, 547, 723, 1831, 606, 1271, 3909, 4099, 538, 519, 476, 277, 628, 2540, 269, 645, 731, 8124, 700, 30224, 568, 3182, 3293, 454, 8489, 568, 621, 286, 634, 476, 272, 269, 276, 13304, 1279, 6532, 729, 513, 4168, 31145, 3135, 538, 519, 5664, 12698, 1107, 950, 1614, 11564, 547, 645, 731, 8124, 3160, 539, 835, 3643, 547, 7507, 454, 15578, 476, 1626, 667, 2752, 298, 27699, 312, 590, 3198, 6311, 308, 14473, 590, 3951, 2464, 454, 268, 8206, 288, 324, 256, 295, 2967, 17833, 1695, 926, 11595, 5244, 630, 21026, 4000, 994, 268, 589, 1774, 320, 1315, 4279, 4446, 8175, 6816, 630, 6124, 10215, 994, 268, 4563, 29361, 13812, 5004, 9351, 267, 7147, 630, 24433, 994, 268, 21940, 776, 27347, 2052, 4141, 9351, 8187, 15227, 267, 16506, 630, 24433, 994, 268, 15328, 6193, 8805, 3033, 267, 1715, 6792, 630, 24433, 994, 268, 8061, 2812, 5211, 3557, 7849, 9351, 1107, 5548, 17368, 324, 5149, 267, 7147, 630, 24433, 994, 268, 18637, 686, 11253, 27190, 1537, 630, 2419, 850, 994, 268, 918, 1092, 327, 19734, 28418, 543, 27347, 2817, 31790, 267, 19051, 630, 24433, 994, 268, 23452, 20417, 2817, 13812, 25083, 267, 23497, 630, 24433, 994, 268, 7136, 21492, 681, 574, 8187, 15227, 5530, 9351, 267, 21600, 630, 24433, 994, 268, 6925, 32520, 3557, 5244, 267, 23497, 630, 24433, 994, 268, 16381, 322, 1515, 333, 11866, 454, 268, 14175, 11312, 15167, 2817, 31790, 267, 18096, 630, 24433, 994, 268, 26791, 6816, 1315, 681, 13403, 3120, 630, 6124, 10215, 994, 268, 634, 30180, 268, 10000, 630, 288, 20624, 994, 268, 962, 333, 903, 2037, 25651, 1107, 6816, 645, 731, 8124, 630, 310, 2297, 994, 8072, 2171, 6785, 649, 5030, 538, 513, 2027, 1747, 267, 713, 1007, 4567, 25495, 713, 267, 609, 9517, 7704, 16119, 8380, 2037, 25651, 593, 519, 2518, 3942, 563, 24685, 606, 5051, 26130, 1158, 267, 621, 568, 513, 17979, 547, 581, 2111, 547, 960, 547, 2149, 1945, 602, 568, 29814, 585, 2104, 5481, 3034, 2005, 3576, 519, 3972, 2185, 1296, 547, 4309, 922, 4686, 13995, 267, 799, 729, 9672, 1210, 5464, 540, 519, 6532, 779, 3781, 6607, 547, 1397, 621, 729, 18481, 4158, 563, 14071, 616, 4278, 2683, 547, 10950, 962, 333, 903, 32762, 547, 519, 3395, 2146, 540, 4158, 6607, 4025, 1472, 519, 1158, 2223, 1767, 15570, 7219, 19134, 2917, 267, 15445, 10615, 540, 519, 4139, 14730, 4149, 5652, 5948, 563, 2108, 4415, 713, 267, 12986, 568, 3728, 4742, 835, 540, 519, 3056, 2477, 538, 7863, 4158, 22839, 607, 513, 10475, 4199, 602, 2640, 1004, 543, 7320, 3034, 312, 333, 903, 2037, 25651, 568, 1767, 547, 723, 1831, 606, 1271, 3909, 4099, 538, 519, 476, 277, 628, 2540, 950, 661, 514, 517, 267, 3751, 540, 700, 14979, 267, 14376, 519, 6601, 2023, 853, 27974, 325, 534, 547, 645, 731, 8124, 563, 29310, 789, 3710, 853, 6307, 779, 30745, 267, 799, 729, 1753, 547, 513, 2146, 540, 476, 273, 267, 4335, 26112, 1282, 519, 476, 278, 628, 2540, 563, 2005, 568, 5156, 602, 1082, 540, 873, 8612, 602, 789, 4941, 547, 581, 12617, 593, 645, 731, 8124, 267, 799, 949, 581, 1946, 519, 2197, 568, 1634, 538, 18691, 607, 519, 2048, 3674, 1633, 540, 476, 736, 267, 1822, 29513, 17483, 1607, 1650, 568, 28165, 538, 513, 32724, 1178, 3272, 731, 267, 1141, 606, 30115, 14509, 267, 968, 4910, 1051, 519, 3788, 540, 476, 736, 267, 1822, 25598, 12617, 2282, 713, 5544, 3034, 2005, 949, 3100, 899, 513, 12701, 602, 971, 513, 5458, 2551, 568, 6456, 9944, 606, 6532, 1175, 476, 272, 269, 276, 5195, 1279, 267, 855, 17137, 3494, 596, 666, 2007, 543, 1265, 513, 1560, 9170, 593, 645, 731, 8124, 563, 1103, 606, 26995, 2282, 519, 2413, 32724, 538, 519, 476, 1960, 271, 338, 267, 24085, 1256, 11552, 691, 1117, 476, 1839, 10120, 9723, 2125, 563, 1805, 6307, 779, 30745, 605, 4944, 1229, 2394, 476, 14631, 278, 1107, 950, 621, 729, 10032, 676, 8361, 24163, 538, 1010, 19837, 1828, 540, 519, 10815, 518, 3933, 2120, 625, 563, 26765, 754, 814, 621, 602, 519, 6532, 729, 835, 540, 519, 2868, 5006, 4025, 538, 6628, 538, 519, 2038, 5664, 12698, 267, 609, 930, 1256, 18468, 621, 729, 519, 3803, 16889, 1747, 540, 519, 19416, 3751, 14880, 630, 335, 1112, 3293, 994, 23804, 606, 14880, 1014, 10828, 281, 3751, 14880, 779, 824, 2009, 16889, 4025, 454, 763, 1650, 540, 3751, 14880, 814, 9676, 519, 9345, 540, 12206, 543, 5830, 585, 5553, 563, 3719, 513, 3668, 540, 6405, 2963, 827, 713, 26704, 16313, 814, 2451, 1010, 1650, 1930, 547, 1454, 7664, 1107, 543, 814, 2016, 9118, 6753, 519, 4960, 547, 2482, 3409, 547, 513, 851, 540, 1010, 1650, 563, 2467, 616, 4061, 19421, 540, 4025, 5156, 547, 581, 519, 4087, 540, 1010, 5480, 267, 6682, 601, 582, 267, 519, 6532, 540, 589, 1998, 517, 267, 543, 1585, 12959, 563, 2467, 616, 849, 1082, 6753, 538, 519, 5177, 543, 3564, 1141, 3751, 14880, 1223, 581, 12617, 563, 292, 843, 517, 22193, 267, 681, 2135, 15734, 28790, 281, 661, 843, 517, 267, 593, 519, 13677, 8473, 267, 568, 5219, 547, 538, 18691, 607, 513, 2048, 3128, 869, 14629, 9957, 898, 568, 1934, 267, 519, 17691, 2161, 267, 1141, 513, 1390, 1297, 540, 11439, 29843, 9114, 18069, 693, 519, 3952, 540, 741, 9640, 563, 19853, 12008, 6205, 267, 519, 1650, 4422, 267, 568, 3751, 14880, 5128, 563, 10908, 770, 517, 12064, 30745, 267, 590, 12002, 564, 281, 634, 1034, 8037, 15555, 1819, 4087, 540, 519, 3751, 779, 19746, 568, 3794, 770, 517, 12064, 30745, 538, 590, 12002, 564, 563, 2080, 972, 616, 19772, 18429, 602, 3409, 547, 1665, 519, 3803, 16889, 4025, 540, 14880, 543, 1010, 10348, 2871, 710, 3164, 563, 5629, 11303, 676, 1216, 267, 519, 705, 21161, 568, 849, 5156, 547, 581, 519, 19416, 6532, 540, 589, 1998, 517, 1107, 1141, 519, 12955, 4622, 729, 3144, 547, 581, 646, 4705, 1310, 1010, 3803, 6370, 563, 763, 1650, 6645, 602, 646, 729, 3144 ]

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

[ 9838, 3688, 267, 15558, 8228, 1522, 581, 519, 1732, 3903, 269, 769, 713, 1184, 267, 513, 6676, 568, 1500, 609, 707, 1374, 267, 799, 19132, 13504, 5196, 513, 12285, 24120, 543, 1287, 20061, 621, 5196, 1957, 610, 824, 2326, 269, 4595, 2789, 12215, 616, 3812, 8195, 267, 15558, 8228, 11148, 547, 581, 811, 1942, 15807, 585, 8273, 8255, 269, 1717, 267, 1317, 10824, 1590, 581, 2813, 585, 1169, 2816, 267, 1305, 909, 12375, 666, 581, 2362, 3379, 547, 3059, 8228, 780, 1262, 21760, 995, 2622, 540, 769, 330, 4373, 8624, 832, 1404, 513, 1713, 1909, 538, 13830, 1004, 781, 3007, 543, 23187, 4664, 269, 4107, 2413, 23252, 946, 18328, 312, 298, 13504, 267, 9967, 540, 19826, 267, 4012, 31980, 267, 5835, 267, 543, 3109, 269, 1452, 4778, 9192, 547, 1711, 1585, 24698, 267, 18565, 267, 543, 18707, 269, 1879, 2324, 593, 707, 6272, 267, 3314, 602, 21697, 4159, 4778, 8335, 982, 9102, 1570, 1813, 547, 3604, 538, 8654, 2175, 543, 2029, 269, 11408, 5077, 609, 513, 3318, 17002, 547, 2327, 4977, 2681, 6041, 780, 1262, 19226, 5109, 29110, 2583, 4373, 5629, 519, 8228, 568, 2347, 267, 3606, 3157, 1572, 18138, 2553, 1039, 1346, 3063, 2027, 18953, 547, 1118, 707, 1788, 1796, 856, 269, 2368, 1455, 3283, 1331, 5969, 267, 24208, 267, 18176, 267, 11006, 267, 22495, 908, 267, 543, 5884, 24408, 1154, 269, 1280, 1383, 267, 513, 1870, 3556, 949, 2154, 5730, 11912, 543, 26642, 267, 6466, 513, 1433, 3382, 1223, 4125, 6946, 5884, 2275, 7491, 547, 1711, 2189, 5546, 610, 3270, 780, 1262, 26660, 6513, 25198, 4373, 15563, 267, 2760, 30391, 519, 2956, 540, 2298, 1852, 2429, 519, 3003, 1820, 2504, 1184, 269, 28968, 5402, 8524, 15997, 267, 2689, 2681, 5468, 267, 1449, 2326, 267, 543, 6895, 3937, 2773, 547, 2226, 1164, 4441, 269, 2991, 782, 267, 945, 6499, 513, 18991, 2966, 4062, 2261, 1042, 676, 1159, 644, 3022, 13504, 610, 4057, 1957, 2298, 286, 10866, 1852, 5849, 707, 5075, 3587, 4641, 2439, 3086, 602, 596, 1174, 519, 9238, 540, 1820, 2504, 267, 2119, 6220, 930, 540, 891, 2035, 883, 707, 1378, 6272, 269, 5457, 267, 8744, 2093, 547, 1272, 3217, 9639, 267, 5578, 267, 543, 5698, 1107, 865, 1810, 1405, 19292, 547, 3914, 856, 547, 4648, 585, 5583, 2059, 519, 1259, 269, 8414, 2870, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2691, 596, 7649, 609, 932, 848, 4964, 267, 596, 4309, 519, 2640, 540, 606, 8366, 20421, 2319, 540, 2533, 269, 1284, 616, 811, 982, 1175, 606, 2228, 3059, 22045, 585, 8228, 269, 1284, 616, 707, 3059, 8228, 2046, 7649, 563, 2171, 1491, 11348, 538, 12419, 2533, 602, 9765, 707, 6788, 269, 2334, 779, 1946, 649, 723, 2919, 2533, 602, 6023, 782, 938, 7218, 685, 2115, 689, 840, 547, 2022, 2046, 269, 4045, 609, 932, 848, 4964, 593, 707, 1985, 1820, 1788, 269, 15681, 721, 875, 782, 827, 707, 6725, 5048, 267, 3853, 543, 5859, 3790, 543, 1577, 721, 1118, 621, 960, 269, 3245, 1374, 547, 544, 9430, 267, 938, 1820, 1587, 2533, 1118, 811, 982, 606, 12705, 910, 789, 1921, 269, 3371, 781, 513, 1592, 540, 3059, 8228, 2046, 543, 15558, 8228, 2533, 932, 848, 4964, 814, 547, 2709, 563, 17359, 7822, 23453, 338, 454, 17359, 7822, 24614, 454, 347, 16908, 568, 538, 2185, 2681, 269, 2913, 721, 948, 596, 1265, 707, 2681, 269, 9509, 12258, 528, 9102, 6054, 5838, 707, 5048, 609, 3308, 1764, 543, 5021, 9029, 269, 1306, 519, 1858, 779, 2407, 12258, 528, 8228, 4966, 267, 649, 786, 3132, 707, 2816, 593, 942, 267, 1369, 6578, 543, 2141, 609, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 19530, 13870, 257, 607, 851, 540, 834, 291, 2464, 22218, 1315, 18753, 8551, 1315, 31055, 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, 7170, 281, 21816, 17621, 9605, 4972, 20048, 2873, 910, 24296, 2426, 32445, 538, 3776, 18877, 692, 7072, 912, 5331, 6217, 519, 10978, 530, 841, 540, 521, 790, 985, 3544, 707, 2777, 3735, 693, 3781, 269, 1411, 32708, 856, 519, 6885, 543, 1294, 1166, 4770, 8279, 27283, 519, 14334, 269, 589, 3595, 14903, 27605, 909, 538, 4395, 540, 707, 7023, 781, 1753, 269, 9453, 11688, 2787, 267, 12703, 2367, 543, 2021, 7914, 1055, 519, 14903, 267, 4712, 547, 3068, 8726, 8594, 6013, 6619, 269, 1452, 12325, 4866, 547, 707, 2199, 15321, 3595, 8257, 630, 309, 293, 291, 1070, 8723, 1004, 899, 596, 543, 803, 267, 2324, 1927, 547, 1832, 938, 2950, 2922, 269, 901, 3184, 786, 6338, 596, 547, 930, 6909, 13538, 945, 4142, 6510, 741, 942, 543, 1648, 547, 2149, 1866, 9789, 5667, 2426, 12325, 649, 1419, 26777, 780, 4089, 2290, 281, 1548, 1772, 513, 21816, 17621, 9605, 4972, 888, 288, 966, 293, 291, 5161, 540, 2146, 2818, 945, 2709, 741, 1983, 267, 942, 267, 543, 7029, 547, 948, 4339, 11642, 543, 4431, 547, 18002, 1369, 741, 16973, 269, 9521, 4876, 23001, 16146, 267, 891, 2043, 798, 711, 4309, 8569, 585, 741, 960, 282, 789, 1685, 621, 17033, 856, 540, 2648, 543, 20174, 547, 741, 2828, 543, 12543, 269, 10705, 267, 4130, 10034, 543, 6917, 2127, 7048, 8185, 593, 966, 293, 17762, 1813, 547, 3908, 2200, 543, 7616, 780, 7078, 281, 20821, 25455, 267, 513, 12964, 4458, 6040, 7911, 2713, 538, 513, 1507, 4884, 1572, 24442, 6807, 269, 3571, 4651, 267, 3627, 267, 5713, 607, 513, 6131, 4759, 540, 519, 2199, 966, 293, 291, 269, 5272, 3018, 267, 3627, 22939, 9118, 3108, 2866, 7258, 1010, 8284, 13538, 267, 4180, 789, 2611, 5423, 585, 1022, 6595, 3510, 269, 1879, 4280, 1946, 646, 4142, 545, 919, 865, 1454, 942, 547, 24749, 267, 3627, 3274, 30491, 267, 834, 296, 1616, 1250, 5067, 543, 3025, 3116, 1934, 538, 24442, 6807, 547, 1745, 5150, 6616, 649, 723, 513, 2319, 8348, 547, 1981, 3388, 585, 873, 3010, 4089, 5565, 281, 29460, 3487, 540, 513, 21816, 17621, 9605, 4972, 454, 13825, 1456, 513, 966, 293, 291, 3335, 3322, 11504, 2834, 11401, 267, 10283, 538, 5571, 5721, 902, 267, 543, 1373, 2139, 585, 6595, 7125, 1554, 610, 3781, 269, 16840, 1451, 1585, 1898, 1983, 971, 607, 5665, 554, 4680, 267, 1210, 7463, 3937, 267, 11324, 5224, 9601, 16290, 676, 3595, 610, 11935, 267, 543, 28720, 1101, 5351, 269, 4107, 11932, 267, 16461, 1080, 1590, 4865, 10100, 267, 8990, 267, 543, 1582, 16531, 780, 12244, 281, 23239, 754, 596, 616, 7311, 547, 1831, 513, 4759, 540, 513, 2199, 966, 293, 291, 269, 3503, 1524, 1614, 4128, 1946, 596, 3494, 596, 1131, 1118, 513, 1434, 11134, 1759, 593, 1018, 596, 4121, 827, 519, 2838, 7907, 543, 9021, 780, 4089, 8422, 281, 12267, 3245, 7464, 5020, 21816, 32580, 454, 4131, 721, 2263, 1483, 3734, 6589, 540, 1896, 11121, 13538, 2066, 1114, 966, 293, 17762, 269, 3962, 1367, 6770, 2189, 2833, 267, 2591, 267, 543, 29217, 1247, 7674, 741, 2950, 780, 265, 8861, 267, 513, 2582, 3993, 5104, 31227, 1200, 2816, 543, 15366, 11645, 267, 9060, 3483, 538, 9494, 2729, 998, 1200, 1909, 607, 513, 23001, 7660, 543, 15444, 307, 630, 655, 1120, 1890, 2564, 27637, 1040, 2701, 8843, 875, 16779, 621, 7959, 950, 1352, 11324, 1132, 2576, 538, 991, 267, 17548, 267, 834, 7069, 1453, 4585, 803, 4734, 585, 1279, 10593, 267, 855, 594, 4126, 789, 849, 5469, 519, 11348, 543, 7772, 594, 1995, 1310, 4543, 4688, 1776, 1268, 781, 1272, 4799, 265, 25414, 267, 513, 19622, 11653, 267, 3096, 1010, 6791, 547, 2226, 4105, 3937, 543, 6472, 693, 1010, 966, 293, 291, 269, 1261, 11099, 5329, 519, 2645, 538, 5140, 2783, 5849, 3106, 1282, 1164, 25774, 3871, 269, 4340, 547, 1864, 267, 834, 31535, 602, 1169, 4062, 540, 3937, 3252, 5265, 3947, 4708, 540, 2247, 547, 782, 13538, 1354, 19480, 883, 2800, 781, 1259, 4799, 265, 21877, 267, 513, 2852, 2875, 4974, 7803, 5126, 267, 9909, 540, 4742, 513, 3318, 23001, 7660, 14693, 269, 1280, 1631, 267, 1352, 882, 8460, 1565, 3407, 4245, 689, 19023, 18884, 693, 1200, 966, 293, 291, 267, 1519, 9015, 267, 5718, 267, 543, 16542, 269, 21877, 3081, 267, 834, 18455, 11303, 676, 2178, 23003, 2306, 803, 8746, 827, 13197, 1250, 3853, 1247, 7700, 9797, 547, 1250, 554, 32528, 3010, 6962, 912, 763, 1158, 540, 15321, 3595, 13623, 10741, 9885, 547, 9058, 2984, 10023, 4948, 12325, 8149, 547, 17420, 741, 2950, 269, 1635, 1620, 811, 827, 891, 11108, 2043, 543, 741, 5107, 267, 5310, 649, 1932, 666, 3605, 2081, 547, 3565, 25006, 2509, 1818, 938, 1378, 15174, 540, 519, 8608, 10930, 4025, 547, 2661, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 20442, 16436, 596, 547, 6443, 2059, 607, 3984, 7812, 1744, 3658, 10274, 596, 4514, 883, 519, 2984, 5143, 693, 519, 2228, 8551, 1299, 9177, 12139, 267, 21661, 519, 12540, 514, 269, 19415, 538, 607, 646, 3217, 596, 593, 513, 9423, 3460, 267, 835, 1141, 596, 616, 3808, 547, 2743, 513, 30162, 540, 10578, 5830, 267, 1913, 19431, 338, 267, 15023, 267, 5159, 267, 12372, 267, 32349, 267, 15628, 267, 543, 796, 3107, 539, 552, 764, 550, 7879, 20515, 519, 10206, 602, 972, 616, 9159, 2984, 547, 581, 1336, 10876, 7498, 22977, 28964, 476, 9965, 281, 634, 5295, 654, 832, 327, 26802, 609, 918, 15811, 26791, 454, 1607, 12558, 540, 21661, 634, 12540, 514, 281, 634, 23093, 4751, 6799, 606, 5967, 609, 918, 15811, 26791, 267, 606, 3329, 894, 27680, 543, 2278, 945, 814, 4988, 3909, 15698, 267, 6214, 267, 3609, 267, 543, 2069, 585, 936, 513, 8717, 269, 4173, 5767, 1433, 267, 634, 5295, 654, 832, 327, 26802, 281, 18738, 519, 667, 836, 2730, 22547, 540, 16241, 2817, 1143, 267, 2443, 519, 1445, 540, 713, 12558, 2443, 568, 513, 4686, 1413, 3330, 519, 12227, 540, 519, 3350, 602, 4547, 18496, 11686, 547, 1379, 269, 26791, 779, 19761, 5526, 538, 519, 1715, 3840, 8648, 1566, 1196, 267, 715, 6195, 267, 519, 1715, 3115, 889, 2993, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 14157, 2863, 17621, 9605, 4972, 20048, 2873, 257, 607, 851, 540, 834, 10292, 24209, 1299, 27483, 302, 10292, 24209, 1315, 9605, 1299, 17073, 7896, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 588, 1066, 6681, 543, 1018, 12592, 873, 547, 798, 865, 269, 2991, 930, 1382, 267, 646, 1336, 856, 602, 2502, 538, 2834, 3635, 5280, 2226, 1434, 2168, 543, 2790, 1072, 269, 3958, 267, 2866, 585, 543, 10283, 538, 2261, 987, 976, 1419, 27838, 23274, 543, 11505, 1851, 5171, 780, 2026, 7585, 1642, 1386, 4514, 883, 1010, 7634, 267, 646, 11402, 1007, 2035, 899, 2048, 32360, 540, 1804, 5026, 2621, 685, 543, 2048, 11266, 543, 10618, 10200, 1452, 3584, 533, 31985, 1010, 7279, 269, 1215, 1705, 3425, 4383, 17825, 585, 971, 7372, 19771, 286, 1548, 2645, 1705, 789, 8415, 547, 2327, 5347, 4238, 543, 2500, 2792, 2496, 7437, 11287, 891, 3157, 267, 7585, 7691, 602, 4058, 3238, 25640, 1585, 3334, 971, 607, 28379, 5542, 267, 16045, 14261, 267, 3106, 3800, 267, 543, 6725, 3646, 269, 9442, 5129, 513, 2629, 1909, 1932, 282, 621, 24458, 602, 3025, 18423, 5483, 827, 1271, 3877, 1354, 267, 1282, 267, 543, 1310, 519, 2680, 269, 1280, 3236, 267, 25696, 1031, 7270, 267, 1514, 2923, 5867, 267, 15737, 267, 543, 824, 3059, 9055, 547, 22412, 622, 2556, 1344, 543, 4497, 609, 28752, 780, 13010, 267, 7585, 8068, 602, 3506, 941, 8362, 7722, 538, 3450, 1762, 3425, 827, 12180, 5026, 2621, 267, 10771, 741, 4644, 3564, 6071, 19194, 269, 4841, 4121, 3407, 1983, 10858, 3564, 5026, 8658, 267, 1519, 5718, 267, 16542, 267, 1966, 9010, 267, 543, 1788, 2359, 780, 28885, 1776, 2165, 14542, 547, 1864, 910, 1412, 14683, 1153, 262, 910, 7585, 14952, 539, 693, 875, 2038, 3425, 3459, 1565, 1898, 1272, 4245, 998, 2069, 1949, 2966, 4481, 585, 1114, 2085, 2516, 269, 901, 21712, 1935, 4847, 1142, 1367, 547, 1628, 2390, 5892, 9715, 1702, 7930, 780, 7661, 267, 7585, 2808, 519, 6626, 6286, 540, 971, 2621, 593, 2950, 269, 19893, 4646, 7554, 10489, 2056, 10923, 6302, 267, 3056, 547, 9434, 17052, 1759, 593, 8994, 2463, 267, 19015, 267, 543, 1489, 269, 4634, 4715, 2209, 5433, 6273, 676, 26164, 1866, 7903, 2933, 9308, 543, 15508, 267, 8716, 811, 1004, 547, 9772, 8902, 19824, 780, 14454, 267, 7585, 11943, 602, 519, 5617, 14079, 3057, 25070, 6719, 1454, 811, 982, 8806, 513, 5198, 282, 621, 6039, 607, 513, 3760, 585, 5009, 9716, 267, 2679, 4296, 267, 18836, 532, 1702, 267, 543, 14304, 2950, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 14582, 14079, 3057, 25070, 1107, 11846, 17072, 454, 26607, 11888, 267, 476, 2537, 269, 5437, 476, 1708, 273, 454, 763, 5617, 14079, 3057, 25070, 267, 607, 519, 28013, 540, 519, 7887, 23242, 2680, 538, 938, 2197, 602, 26182, 5215, 540, 1004, 547, 2196, 267, 3576, 606, 3742, 851, 538, 18997, 2486, 827, 782, 3344, 540, 2635, 6208, 267, 519, 2956, 540, 2168, 2534, 585, 2790, 543, 2168, 1072, 267, 855, 849, 18997, 1164, 1153, 1053, 543, 1053, 827, 782, 3344, 540, 519, 3919, 540, 2101, 5026, 2621, 689, 519, 1448, 540, 2070, 540, 900, 5799, 954, 32643, 12781, 689, 519, 1158, 540, 5026, 543, 1804, 14078, 563, 4002, 713, 8317, 267, 519, 1101, 3872, 10554, 1572, 519, 5617, 14079, 3057, 25070, 1107, 11846, 17072, 729, 4371, 19108, 538, 519, 3933, 320, 1773, 18054, 23392, 267, 1141, 1614, 8440, 941, 4371, 281, 9257, 540, 1804, 5026, 543, 18942, 2621, 267, 11553, 543, 2792, 538, 5026, 267, 543, 2657, 543, 5026, 269, 634, 5304, 15538, 540, 1053, 689, 519, 20513, 540, 11846, 5742, 543, 519, 5441, 540, 11846, 543, 2657, 543, 1053, 540, 519, 2776, 560, 15607, 11846, 4400, 3427, 563, 4263, 519, 1360, 4098, 267, 519, 6231, 2237, 513, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 4317, 11762, 1315, 14886, 1222, 1315, 7043, 5937, 2700, 14886, 4721, 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, 3848, 476, 277, 281, 18181, 910, 10289, 519, 3203, 540, 21185, 4754, 22105, 1149, 1369, 519, 11335, 12745, 540, 23111, 3716, 320, 7345, 692, 296, 269, 4985, 454, 288, 269, 11137, 540, 23111, 3716, 320, 7345, 607, 606, 24021, 24006, 1722, 20121, 1588, 454, 289, 269, 19043, 540, 21185, 4754, 28690, 267, 13018, 22105, 1149, 267, 538, 519, 16323, 454, 290, 269, 17583, 1063, 5253, 543, 9177, 281, 4197, 22105, 1149, 538, 741, 17502, 1470, 6953, 626, 5566, 12745, 692, 2862, 269, 17461, 281, 1548, 568, 513, 570, 2602, 888, 288, 269, 9502, 543, 8466, 4886, 454, 289, 269, 12465, 10049, 267, 5071, 267, 543, 29526, 454, 290, 269, 26943, 2435, 21964, 267, 23123, 267, 543, 4469, 2948, 4515, 3796, 692, 7656, 269, 22410, 540, 6206, 15689, 540, 21185, 4754, 22105, 1149, 454, 288, 269, 1975, 1182, 281, 1133, 30584, 532, 13216, 700, 16558, 540, 4469, 822, 832, 454, 272, 269, 28871, 13242, 1975, 1182, 630, 324, 3052, 1421, 24036, 267, 20909, 267, 1094, 742, 1258, 994, 273, 269, 2349, 2056, 9828, 543, 10395, 5209, 585, 5940, 3307, 570, 4292, 23800, 454, 274, 269, 2657, 11588, 543, 4165, 9171, 656, 16544, 540, 1975, 1182, 454, 289, 269, 2725, 1846, 281, 16871, 10871, 543, 12655, 932, 7860, 454, 272, 269, 30340, 267, 2142, 1030, 267, 623, 15160, 267, 543, 10794, 281, 19369, 10613, 543, 2672, 3386, 7352, 7724, 454, 273, 269, 17164, 4115, 543, 12098, 534, 11154, 725, 585, 7073, 6022, 919, 454, 274, 269, 21344, 12594, 267, 7956, 675, 267, 543, 15979, 538, 19871, 19139, 454, 290, 269, 29759, 543, 29641, 281, 17897, 1275, 543, 2997, 22355, 538, 23111, 3716, 320, 7345, 454, 272, 269, 31209, 532, 7087, 21277, 576, 630, 324, 3052, 1421, 844, 1550, 267, 3284, 878, 582, 267, 1148, 747, 5803, 267, 2490, 2354, 994, 273, 269, 3465, 6326, 18610, 1145, 998, 1323, 6827, 1537, 9828, 899, 17292, 1782, 543, 667, 11538, 454, 274, 269, 7665, 30093, 26678, 27438, 543, 12192, 12474, 1247, 3687, 30093, 17904, 454, 291, 269, 28397, 806, 543, 3057, 514, 3547, 281, 13661, 19188, 540, 3493, 628, 543, 6762, 1145, 454, 272, 269, 10020, 540, 700, 1172, 1749, 630, 12850, 267, 14351, 267, 29106, 13813, 267, 13022, 6350, 4236, 823, 264, 538, 12861, 3117, 29548, 454, 273, 269, 30459, 4173, 2125, 267, 1975, 1182, 267, 543, 7849, 21690, 22211, 883, 5685, 5109, 3794, 30769, 454, 274, 269, 774, 1157, 2287, 3397, 757, 281, 15053, 517, 1190, 16949, 540, 853, 2117, 1127, 543, 715, 7491, 454, 292, 269, 717, 7568, 8460, 543, 6452, 558, 3966, 9323, 281, 29175, 908, 10439, 2561, 7002, 543, 4469, 2948, 8177, 454, 272, 269, 3798, 1043, 26540, 267, 25994, 267, 543, 27817, 585, 1520, 4765, 7956, 675, 543, 7822, 454, 273, 269, 29968, 338, 267, 3400, 1231, 267, 543, 6181, 6979, 585, 9045, 328, 1214, 543, 7195, 2331, 12594, 454, 274, 269, 9473, 9323, 543, 932, 583, 7958, 281, 11426, 1436, 543, 9608, 1242, 15232, 692, 4353, 269, 7351, 12367, 543, 30404, 22604, 538, 21185, 4754, 570, 2602, 13648, 2044, 454, 288, 269, 6820, 674, 4288, 543, 5606, 6748, 4139, 14118, 1878, 454, 272, 269, 7489, 267, 5824, 1977, 267, 543, 3864, 3828, 1235, 593, 25839, 31204, 454, 273, 269, 17449, 22050, 25348, 543, 1546, 18586, 9828, 11930, 547, 22105, 1149, 454, 289, 269, 7233, 15369, 7169, 281, 11300, 15240, 4801, 543, 1715, 19871, 17796, 454, 272, 269, 22034, 7843, 701, 327, 267, 10793, 26258, 267, 543, 744, 344, 3122, 631, 2313, 7741, 607, 6301, 23123, 454, 273, 269, 15043, 2353, 1120, 523, 6363, 872, 10201, 2510, 585, 32213, 667, 1456, 23800, 454, 290, 269, 12426, 3562, 6874, 762, 13898, 543, 25417, 10871, 8859, 625, 454, 272, 269, 11622, 908, 609, 9540, 4149, 7051, 1160, 3027, 619, 543, 23101, 2510, 454, 273, 269, 3447, 908, 2871, 3949, 827, 6833, 549, 597, 543, 17897, 1275, 540, 16016, 1042, 1304, 19139, 454, 291, 269, 3718, 10914, 543, 23227, 725, 585, 31853, 18734, 543, 25085, 618, 454, 272, 269, 24732, 268, 4002, 4804, 19662, 585, 4841, 543, 12875, 1235, 1325, 833, 454, 273, 269, 19457, 24956, 545, 11310, 543, 18964, 8033, 4240, 6657, 693, 5851, 692, 309, 269, 10390, 281, 8892, 21126, 543, 12694, 585, 21185, 4754, 22105, 1149, 538, 513, 21826, 569, 5345, 6295, 2622, 454, 288, 269, 19484, 8693, 7827, 543, 7025, 19047, 454, 289, 269, 18601, 12983, 540, 8836, 2561, 10187, 566, 543, 25827, 16296, 7126, 454, 290, 269, 26472, 4065, 543, 29456, 3414, 9061, 4211, 8590, 15511, 543, 16510, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 299, 5060, 1722, 32733, 547, 23111, 3716, 320, 7345, 454, 307, 600, 3716, 320, 7345, 568, 512, 5792, 607, 519, 5728, 681, 643, 1512, 320, 540, 25448, 543, 621, 779, 2653, 547, 1294, 1946, 281, 4190, 267, 2312, 7297, 540, 519, 11335, 2285, 1259, 547, 519, 3768, 4593, 2642, 267, 29814, 17822, 540, 519, 7167, 20918, 23795, 267, 5087, 9456, 25448, 269, 5651, 11484, 753, 723, 1044, 11981, 713, 8748, 3148, 585, 922, 2067, 5898, 543, 4241, 267, 3140, 10034, 543, 14252, 2094, 942, 1799, 655, 3645, 282, 1152, 1631, 723, 9702, 16234, 13175, 547, 3605, 922, 27559, 563, 26668, 30258, 547, 31054, 538, 23111, 3716, 320, 7345, 454, 272, 269, 634, 2199, 11951, 269, 1261, 2355, 540, 2848, 5446, 16717, 32654, 538, 13556, 1768, 2350, 27198, 17428, 269, 20405, 2275, 10541, 11090, 1149, 4904, 547, 519, 1490, 574, 609, 6653, 543, 25970, 5388, 607, 2620, 543, 3638, 538, 7990, 607, 789, 616, 538, 6492, 267, 543, 23758, 602, 8813, 2476, 689, 519, 5642, 607, 4166, 607, 596, 1305, 17237, 4064, 2390, 621, 269, 589, 1483, 5031, 543, 782, 1390, 1871, 585, 2724, 563, 273, 269, 898, 781, 5266, 3768, 4593, 2642, 269, 17949, 606, 1858, 540, 11824, 547, 3054, 543, 811, 7834, 982, 707, 6093, 17195, 18992, 269, 17949, 519, 13049, 540, 3345, 4000, 1354, 621, 781, 4362, 676, 519, 544, 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, 13636, 1299, 8836, 1315, 11335, 1315, 21185, 4754, 22105, 1149, 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, 6092, 5149, 281, 5463, 5317, 5680, 12474, 585, 3194, 543, 4804, 281, 1323, 769, 11431, 883, 7913, 17402, 543, 19396, 3367, 1465, 692, 296, 269, 4985, 454, 1103, 2221, 781, 25274, 15459, 1158, 267, 621, 814, 1831, 5051, 1271, 585, 2852, 1053, 547, 24917, 741, 1983, 538, 10442, 267, 16208, 267, 543, 9001, 2228, 1344, 3927, 269, 901, 1576, 1770, 12538, 883, 519, 1184, 540, 21264, 532, 4101, 1357, 1543, 1247, 5807, 2565, 3206, 267, 1382, 1983, 267, 543, 4876, 22026, 269, 1635, 3695, 2994, 547, 1174, 1950, 1357, 5931, 543, 11341, 873, 547, 2069, 267, 3450, 267, 5399, 9443, 267, 543, 19396, 14502, 4065, 630, 6311, 292, 1070, 1053, 786, 581, 1732, 5423, 547, 6330, 519, 14960, 540, 2228, 2200, 269, 3414, 2502, 2238, 543, 4052, 3156, 267, 6267, 786, 3986, 741, 2702, 547, 2697, 3407, 1344, 9624, 13509, 543, 6846, 267, 7551, 5355, 1312, 741, 14046, 18697, 543, 3318, 1646, 780, 2862, 269, 17291, 12694, 538, 6732, 31157, 454, 288, 269, 4197, 2549, 15927, 6681, 10426, 1137, 454, 272, 269, 6987, 847, 5811, 281, 10670, 676, 6313, 519, 3177, 1349, 543, 7114, 6810, 602, 2408, 14845, 610, 771, 329, 31212, 269, 9181, 875, 8239, 267, 18685, 267, 543, 16105, 666, 1764, 8223, 563, 273, 269, 12745, 783, 1436, 281, 10812, 2553, 585, 13865, 1944, 24813, 15102, 1210, 4478, 1257, 267, 4282, 1702, 267, 543, 5007, 2200, 269, 11559, 1053, 547, 24370, 1125, 827, 1761, 10096, 3297, 9583, 20775, 6898, 563, 274, 269, 20985, 28604, 281, 11120, 4106, 622, 1895, 5717, 1141, 1053, 2671, 741, 12496, 543, 960, 1927, 547, 1711, 17396 ]

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

[ 29710, 280, 1724, 3299, 4087, 8782, 21545, 1633, 24696, 262, 10142, 4186, 716, 8217, 815, 13555, 8266, 14052, 4186, 716, 8217, 18667, 3488, 31435, 17902, 20298, 2745, 263, 4186, 716, 8217, 269, 4186, 9711, 3418, 258, 3346, 8217, 14491, 18750, 871, 3418, 258, 3346, 8217, 14491, 9852, 833, 10142, 258, 3346, 8217, 22182, 3488, 31435, 17902, 10807, 0, 5814, 4351, 692, 258, 2398, 6493, 519, 4604, 538, 922, 1699, 1533, 454, 3698, 1820, 318, 4580, 10031, 825, 1820, 3488, 1366, 268, 5073, 825, 585, 4737, 538, 4604, 912, 1038, 7575, 815, 1412, 29717, 21860, 21405, 994, 1038, 1820, 6600, 262, 347, 2715, 332, 7174, 348, 1923, 5073, 825, 1820, 3488, 1366, 268, 17210, 258, 10318, 1149, 627, 657, 2490, 621, 568, 4470, 593, 519, 1297, 540, 7575, 540, 1142, 6345, 454, 3698, 627, 657, 4671, 1248, 10031, 825, 1535, 8217, 815, 1496, 343, 8548, 913, 585, 4737, 538, 4604, 585, 1535, 8548, 913, 538, 4737, 952, 1535, 8548, 913, 2652, 1412, 311, 23300, 825, 522, 8217, 815, 1496, 334, 8548, 913, 585, 4737, 538, 4604, 585, 522, 8548, 913, 538, 4737, 952, 522, 8548, 913, 2652, 1412, 302, 23300, 825, 952, 7003, 3287, 8217, 264, 2652, 7003, 263, 334, 8217, 2187, 1038, 2132, 1412, 311, 7055, 825, 3116, 912, 1038, 2132, 1412, 302, 28847, 258, 1280, 3942, 476, 272, 454, 3698, 1711, 318, 4580, 10031, 825, 2281, 815, 11713, 825, 1376, 815, 476, 271, 454, 825, 711, 318, 21459, 815, 8771, 692, 825, 1699, 318, 4580, 815, 3403, 3488, 11767, 2281, 281, 1412, 1040, 516, 2897, 3488, 318, 3299, 1412, 30386, 825, 2490, 815, 627, 657, 4671, 1248, 4590, 825, 952, 1699, 318, 4580, 29644, 3488, 1412, 264, 3436, 476, 272, 912, 1038, 711, 318, 21459, 815, 6936, 692, 825, 585, 1775, 538, 2039, 263, 274, 267, 476, 1015, 267, 476, 274, 2187, 1038, 4737, 815, 1592, 263, 9690, 318, 4580, 314, 11034, 281, 328, 7481, 1038, 2281, 6910, 21405, 994, 1038, 1376, 815, 1775, 692, 3698, 5299, 14682, 877, 26077, 263, 8063, 2187, 825, 1007, 26077, 815, 1496, 9131, 1412, 10086, 1412, 10086, 1412, 3910, 9131, 1412, 10086, 1412, 10086, 1412, 3910, 9131, 1412, 10086, 1412, 10086, 1412, 27663, 825, 585, 1775, 538, 2039, 263, 274, 2187, 1038, 585, 795, 538, 2039, 263, 274, 2187, 2018, 1007, 26077, 5157, 6012, 329, 316, 815, 1533, 5157, 6012, 329, 2639, 825, 2132, 1007, 26077, 692, 5035, 4347, 5435, 29228, 1384, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 6230, 7174, 8548, 1228, 815, 2715, 263, 271, 267, 271, 2567, 1412, 22207, 630, 271, 267, 476, 272, 2567, 1412, 22207, 630, 271, 267, 476, 273, 2567, 1412, 1412, 2676, 4449, 19930, 630, 272, 267, 476, 271, 2567, 1412, 22207, 630, 272, 267, 476, 272, 2567, 1412, 22207, 630, 272, 267, 476, 273, 2567, 1412, 1412, 2676, 4449, 19930, 630, 273, 267, 476, 271, 2567, 1412, 22207, 630, 273, 267, 476, 272, 2567, 1412, 22207, 630, 273, 267, 476, 273, 2567, 1412, 1412, 8679, 1038, 1582, 6745, 1248, 815, 1412, 311, 7055, 1038, 1582, 4877, 6372, 318, 2452, 619, 815, 27835, 324, 6470, 9166, 1582, 269, 2967, 8548, 913, 267, 1412, 12528, 9166, 1582, 269, 12528, 8548, 913, 8679, 1038, 1582, 269, 2452, 619, 815, 31460, 1038, 1582, 4877, 6372, 8548, 7174, 815, 7183, 692, 825, 1948, 7316, 519, 2898, 3014, 568, 5129, 454, 825, 1219, 1404, 14682, 877, 4311, 267, 6345, 318, 821, 267, 6345, 4671, 6851, 17107, 1038, 1948, 10318, 1149, 945, 519, 5716, 616, 543, 1018, 3252, 786, 581, 1572, 630, 13052, 281, 27835, 311, 9166, 1582, 269, 2967, 8548, 913, 348, 994, 1038, 1582, 269, 2452, 619, 14277, 311, 19312, 815, 1582, 4877, 6372, 318, 2452, 619, 314, 16651, 318, 821, 2639, 1038, 1582, 269, 2452, 619, 14277, 302, 19312, 815, 1582, 4877, 6372, 318, 2452, 619, 314, 16651, 4671, 6851, 6540, 1038, 1948, 634, 3014, 910, 16493, 4604, 267, 2306, 1847, 267, 543, 11887, 952, 3014, 568, 936, 454, 1038, 1247, 6936, 912, 2018, 1820, 318, 4580, 4590, 2018, 1582, 6745, 1248, 815, 627, 657, 4671, 1248, 4590, 2018, 952, 1582, 6745, 1248, 2652, 1412, 311, 12466, 3546, 1582, 269, 2452, 619, 9131, 311, 11172, 4590, 2018, 8640, 1582, 6745, 1248, 2652, 1412, 302, 12466, 3546, 1582, 269, 2452, 619, 9131, 302, 11172, 10797, 2018, 952, 1582, 3052, 877, 5091, 821, 29033, 267, 1582, 6745, 1248, 264, 2652, 1412, 7773, 12466, 3546, 1820, 318, 4580, 4590, 3546, 1820, 4311, 6745, 1248, 267, 1412, 342, 1231, 5073, 3546, 2736, 692, 2018, 8640, 1582, 3052, 877, 5091, 821, 29033, 267, 1582, 6745, 1248, 264, 2652, 1412, 21459, 12466, 3546, 1820, 318, 4580, 4590, 3546, 1820, 3488, 307, 773, 5073, 3546, 2736, 692, 825, 1948, 4258, 4242, 952, 519, 6345, 781, 1847, 568, 4570, 454, 825, 1219, 4570, 318, 6570, 4311, 267, 1064, 2187, 1038, 2119, 912, 2018, 6241, 815, 703, 263, 1842, 314, 271, 7481, 2018, 4737, 815, 703, 263, 1842, 15631, 272, 7481, 1038, 4849, 912, 2018, 1820, 2891, 2791, 1058, 4283, 2338, 10590, 2020, 1038, 3116, 912, 2018, 952, 711, 476, 271, 2999, 4737, 2999, 476, 275, 610, 711, 476, 271, 2999, 6241, 2999, 476, 275, 912, 3546, 1820, 2891, 10870, 24002, 1058, 581, 689, 476, 272, 547, 476, 274, 32405, 2018, 3116, 912, 3546, 6241, 815, 6241, 910, 476, 272, 454, 3546, 4737, 815, 476, 274, 910, 4737, 692, 3546, 952, 4604, 314, 992, 6012, 26383, 316, 11203, 1412, 1412, 912, 7386, 1820, 3488, 1607, 1591, 568, 13026, 256, 7994, 1776, 835, 256, 17210, 3546, 3116, 912, 7386, 1948, 5901, 338, 3950, 540, 1018, 1847, 568, 1500, 538, 9598, 543, 2306, 621, 593, 519, 4604, 454, 7386, 1582, 6230, 7174, 8548, 1228, 27007, 992, 267, 6241, 13580, 815, 1582, 6745, 1248, 454, 7386, 4604, 314, 992, 6012, 26383, 316, 815, 1582, 6745, 1248, 454, 7386, 2132, 6936, 692, 825, 1948, 4258, 4242, 952, 972, 568, 513, 16771, 610, 952, 519, 3014, 568, 13615, 454, 825, 1219, 3014, 5091, 821, 4311, 267, 519, 318, 4580, 267, 1699, 4671, 1248, 2187, 1038, 3094, 815, 1496, 9690, 4671, 1248, 267, 1699, 4671, 1248, 267, 1699, 4671, 1248, 6540, 1038, 15497, 815, 1496, 992, 5157, 316, 585, 1775, 267, 4737, 538, 26246, 263, 1492, 318, 4580, 22708, 1038, 23651, 5091, 328, 21192, 815, 1496, 992, 314, 273, 910, 1775, 316, 585, 1775, 267, 4737, 538, 26246, 263, 1492, 318, 4580, 22708, 1038, 1948, 570, 1389, 519, 1871, 540, 513, 6241, 593, 1142, 21767, 910, 1496, 271, 6012, 271, 3910, 1496, 272, 6012, 271, 2639, 1038, 9587, 815, 20886, 992, 314, 3712, 316, 585, 1775, 267, 4737, 538, 26246, 263, 1492, 318, 4580, 13580, 585, 897, 538, 2039, 263, 274, 22708, 1038, 952, 3094, 538, 4604, 610, 3094, 538, 9587, 610, 15497, 2652, 3094, 610, 23651, 5091, 328, 21192, 2652, 3094, 912, 2018, 2132, 1412, 7773, 28847, 1038, 8640, 7003, 8443, 29734, 585, 10145, 538, 1582, 6230, 7174, 8548, 1228, 269, 11161, 3890, 952, 10145, 2652, 1412, 1412, 8079, 2652, 476, 271, 912, 2018, 2132, 1412, 21459, 28847, 825, 1948, 14168, 7154, 3642, 945, 7575, 14477, 543, 593, 8900, 5624, 454, 825, 1219, 513, 328, 8548, 913, 4311, 2187, 1038, 1582, 6745, 1248, 815, 627, 657, 4671, 1248, 4590, 1038, 1247, 6936, 912, 2018, 678, 815, 4351, 27110, 263, 271, 267, 476, 273, 994, 2018, 524, 815, 4351, 27110, 263, 271, 267, 476, 273, 994, 2018, 513, 328, 318, 1723, 3581, 815, 630, 337, 267, 524, 994, 2018, 952, 1582, 6230, 7174, 8548, 1228, 314, 2967, 318, 1723, 3581, 316, 2652, 1412, 1412, 912, 3546, 4604, 314, 337, 6012, 322, 316, 815, 1582, 6745, 1248, 454, 3546, 1820, 3488, 21430, 1847, 1377, 834, 324, 6470, 257, 5073, 3546, 1582, 6230, 7174, 8548, 1228, 314, 2967, 318, 1723, 3581, 316, 815, 1582, 6745, 1248, 454, 3546, 2736, 692, 825, 1948, 1306, 802, 1141, 519, 3593, 6499, 547, 1847, 543, 7575, 972, 454, 825, 1219, 3593, 8548, 913, 4311, 2187, 1038, 1582, 6745, 1248, 815, 627, 657, 4671, 1248, 4590, 1038, 1247, 6936, 912, 2018, 3593, 318, 1723, 3581, 815, 3403, 3488, 11767, 519, 10974, 281, 30386, 2018, 952, 1582, 269, 20777, 318, 6570, 263, 12528, 318, 1723, 3581, 2187, 3546, 2736, 7531, 5035, 23839, 29228, 263, 9377, 5435, 29228, 17107, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 2706, 14061, 1029, 8181, 1029, 4590, 1038, 1582, 4877, 6372, 318, 2452, 619, 815, 27835, 324, 6470, 9166, 1582, 269, 2967, 8548, 913, 267, 1412, 4364, 1756, 9166, 1582, 269, 4364, 1756, 8548, 913, 267, 1412, 12528, 9166, 1582, 269, 12528, 8548, 913, 8679, 1038, 1582, 4877, 6372, 8548, 7174, 815, 7183, 692, 825, 1948, 4258, 4242, 952, 1847, 666, 3094, 593, 519, 1985, 1847, 454, 825, 1219, 666, 318, 7773, 4311, 267, 1699, 2187, 1038, 585, 1847, 538, 1582, 4877, 6372, 8548, 7174, 912, 2018, 4604, 314, 332, 913, 314, 271, 316, 6012, 332, 913, 314, 272, 14963, 815, 1699, 454, 2018, 952, 1582, 3052, 877, 5091, 821, 29033, 267, 1699, 264, 2652, 1412, 7773, 12466, 3546, 4604, 314, 332, 913, 314, 271, 316, 6012, 332, 913, 314, 272, 14963, 815, 1412, 1412, 454, 3546, 2132, 1847, 692, 2018, 4604, 314, 332, 913, 314, 271, 316, 6012, 332, 913, 314, 272, 14963, 815, 1412, 1412, 692, 825, 1948, 16849, 519, 18545, 540, 519, 1699, 2490, 454, 825, 1219, 18545, 4311, 2187, 1038, 952, 1582, 6745, 1248, 2652, 1412, 311, 12466, 2018, 2132, 1412, 302, 7055, 1038, 3116, 912, 2018, 2132, 1412, 311, 28847, 825, 1948, 23839, 3642, 910, 3689, 11974, 952, 1699, 6345, 666, 3094, 267, 1287, 11974, 952, 18545, 666, 3094, 267, 610, 3116, 621, 2306, 513, 4351, 1847, 454, 825, 1219, 5420, 8548, 913, 4311, 2187, 1038, 1582, 4877, 6372, 8548, 7174, 815, 1496, 6570, 585, 2990, 267, 1871, 538, 1582, 6230, 7174, 8548, 1228, 29096, 3890, 952, 1871, 2652, 1412, 1412, 2639, 1038, 1820, 3488, 21430, 1847, 1377, 834, 4364, 1756, 257, 5073, 1038, 18545, 4671, 1248, 815, 1582, 269, 31463, 9426, 10797, 1038, 3094, 8548, 913, 815, 1582, 269, 4754, 318, 7773, 4311, 6745, 1248, 994, 1038, 3625, 8548, 913, 815, 1582, 269, 4754, 318, 7773, 263, 31463, 9426, 4671, 1248, 2020, 1038, 952, 3094, 8548, 913, 912, 2018, 4604, 314, 7773, 8548, 913, 314, 271, 316, 6012, 7773, 8548, 913, 314, 272, 14963, 815, 1582, 6745, 1248, 454, 2018, 1582, 6230, 7174, 8548, 1228, 27007, 7773, 8548, 913, 314, 271, 3910, 3094, 8548, 913, 314, 272, 8079, 316, 815, 1582, 6745, 1248, 454, 1038, 8640, 3625, 8548, 913, 912, 2018, 4604, 314, 23026, 8548, 913, 314, 271, 316, 6012, 23026, 8548, 913, 314, 272, 14963, 815, 1582, 6745, 1248, 454, 2018, 1582, 6230, 7174, 8548, 1228, 27007, 23026, 8548, 913, 314, 271, 3910, 3625, 8548, 913, 314, 272, 8079, 316, 815, 1582, 6745, 1248, 454, 1038, 3116, 912, 2018, 4351, 8548, 913, 815, 4351, 26716, 4069, 4311, 4877, 6372, 8548, 7174, 994, 2018, 4604, 314, 12690, 8548, 913, 314, 271, 316, 6012, 12690, 8548, 913, 314, 272, 14963, 815, 1582, 6745, 1248, 454, 2018, 1582, 6230, 7174, 8548, 1228, 27007, 12690, 8548, 913, 314, 271, 3910, 4351, 8548, 913, 314, 272, 8079, 316, 815, 1582, 6745, 1248, 7531, 5035, 10434, 29228, 263, 8469, 1756, 29228, 2187, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 2706, 14061, 1029, 8181, 1029, 4590, 1038, 1582, 4877, 6372, 318, 2452, 619, 815, 27835, 324, 6470, 9166, 1582, 269, 2967, 8548, 913, 267, 1412, 4364, 1756, 9166, 1582, 269, 4364, 1756, 8548, 913, 267, 1412, 14551, 9166, 1582, 269, 14551, 8548, 913, 267, 1412, 12528, 9166, 1582, 269, 12528, 8548, 913, 8679, 1038, 1582, 269, 31463, 9426, 4671, 1248, 815, 7183, 692, 825, 1948, 634, 6922, 1314, 5690, 910, 13698, 2562, 454, 825, 1219, 6922, 1314, 4311, 267, 1699, 4671, 1248, 2187, 1038, 1948, 4855, 338, 782, 2009, 7575, 593, 4604, 454, 1038, 2518, 4604, 692, 1038, 1948, 12476, 2013, 454, 1038, 1948, 7183, 568, 1031, 1934, 865, 1267, 314, 271, 316, 666, 581, 1031, 530, 270, 334, 5470, 454, 1038, 952, 1582, 3052, 877, 5091, 821, 29033, 267, 1582, 269, 31463, 9426, 4671, 1248, 264, 2652, 1412, 7773, 12466, 2018, 2132, 910, 272, 267, 7183, 454, 1038, 8640, 1582, 3052, 877, 5091, 821, 29033, 267, 1582, 6745, 1248, 264, 2652, 1412, 7773, 12466, 2018, 2132, 476, 272, 267, 7183, 454, 1038, 8640, 1582, 3052, 877, 5091, 821, 29033, 267, 1699, 4671, 1248, 264, 2652, 1412, 21459, 12466, 2018, 2132, 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 ]

[ 269, 898, 568, 2016, 676, 13297, 1175, 896, 519, 2960, 563, 288, 1857, 1072, 4674, 547, 18385, 9004, 782, 2665, 540, 1135, 328, 3912, 601, 4345, 630, 31673, 1470, 264, 3968, 1472, 519, 1158, 3459, 538, 476, 2735, 279, 267, 3366, 676, 519, 2622, 2657, 9257, 630, 21766, 1070, 519, 2136, 8315, 5753, 781, 8750, 630, 7419, 32019, 264, 543, 519, 15585, 776, 7690, 269, 1452, 3906, 267, 2059, 609, 519, 772, 2529, 269, 15544, 585, 8376, 6513, 543, 10644, 630, 24922, 264, 543, 634, 27176, 7690, 267, 723, 27490, 20243, 519, 5859, 998, 519, 6820, 2717, 1470, 661, 2784, 1709, 19541, 630, 294, 14154, 296, 1040, 21988, 16701, 1709, 540, 11763, 3676, 814, 1044, 6913, 7466, 1354, 267, 609, 31847, 543, 536, 990, 710, 678, 5407, 335, 652, 563, 10890, 538, 519, 2136, 2276, 4016, 547, 519, 2949, 1072, 540, 519, 2551, 540, 519, 2136, 2276, 563, 2419, 1157, 523, 21479, 267, 849, 1634, 607, 15254, 545, 7578, 267, 568, 513, 3810, 21380, 2068, 3361, 676, 519, 3355, 3968, 609, 15254, 545, 7578, 1990, 8803, 3644, 630, 309, 313, 309, 1040, 634, 2068, 2164, 538, 513, 8984, 2960, 16420, 602, 3029, 1507, 267, 28349, 28338, 267, 799, 5555, 1085, 629, 936, 269, 898, 2356, 6238, 593, 519, 9221, 267, 1394, 267, 543, 3068, 269, 898, 1287, 19082, 547, 519, 1964, 540, 519, 1560, 269, 4033, 2589, 949, 1331, 8611, 267, 13110, 1145, 267, 543, 14331, 269, 12580, 2356, 2063, 2947, 547, 5722, 2395, 269, 1290, 4124, 949, 12212, 1331, 16415, 267, 6553, 540, 519, 2634, 267, 543, 9190, 2960, 5563, 269, 634, 2068, 568, 1419, 811, 4049, 538, 4079, 982, 538, 1453, 269, 12580, 2253, 476, 1015, 547, 476, 2641, 2395, 1310, 4598, 547, 519, 3644, 563, 305, 889, 7578, 6669, 568, 513, 6669, 1031, 547, 2061, 6299, 7578, 269, 6356, 4369, 5956, 827, 1079, 4374, 1310, 513, 2582, 9570, 543, 1472, 476, 4817, 260, 540, 1004, 1831, 4761, 269, 18831, 609, 1164, 3928, 540, 31331, 1100, 3476, 1294, 2665, 540, 6299, 7578, 610, 22787, 6299, 7578, 6794, 269, 1879, 972, 568, 513, 1970, 1377, 540, 6689, 31331, 538, 513, 2551, 621, 568, 2009, 585, 3928, 540, 22787, 6299, 7578, 547, 2333, 607, 811, 2021, 1118, 621, 547, 1126, 12946, 2085, 1510, 2901, 12674, 610, 4598, 547, 519, 2068, 269, 4475, 267, 621, 568, 1271, 585, 811, 982, 476, 3199, 260, 540, 1004, 547, 581, 18764, 563, 312, 3641, 8611, 6669, 568, 513, 6669, 602, 14014, 1996, 5835, 8611, 269, 14117, 8611, 568, 513, 10194, 3968, 602, 4386, 538, 4000, 543, 3162, 3013, 269, 4107, 1004, 2253, 547, 1020, 12046, 1369, 4557, 2395, 543, 476, 4200, 2600, 616, 6870, 1369, 835, 3923, 540, 12674, 267, 543, 713, 5526, 547, 581, 15400, 269, 634, 6669, 666, 581, 1031, 547, 1852, 17061, 540, 2068, 269, 898, 568, 2016, 2901, 676, 13297, 883, 513, 4887, 610, 1175, 896, 519, 2960, 563, 9288, 553, 956, 568, 5393, 21380, 855, 3968, 2164, 538, 15400, 12046, 267, 865, 922, 4797, 10009, 538, 513, 2146, 5673, 593, 519, 5108, 540, 11630, 14747, 676, 4332, 540, 1453, 269, 769, 2950, 799, 5352, 13385, 1007, 14747, 519, 2068, 786, 5884, 856, 269, 901, 1523, 729, 1101, 6444, 676, 19258, 27451, 538, 476, 4198, 278, 267, 945, 5219, 547, 519, 5934, 1297, 5885, 27330, 607, 519, 2565, 2146, 2450, 630, 290, 5425, 1040, 5811, 540, 17061, 538, 6532, 2950, 6700, 602, 519, 595, 5425, 585, 27330, 568, 524, 269, 476, 7742, 267, 1822, 563, 305, 532, 12674, 568, 513, 4640, 547, 21391, 519, 3262, 540, 513, 2068, 676, 3945, 3215, 1152, 1346, 945, 616, 1034, 2693, 547, 581, 7783, 563, 9288, 553, 956, 729, 10294, 17515, 689, 519, 2136, 2276, 538, 476, 1220, 271, 676, 519, 2622, 2657, 9257, 1813, 547, 519, 1967, 540, 12674, 3646, 269, 1717, 267, 621, 5170, 547, 581, 32543, 22004, 676, 3486, 17631, 267, 543, 538, 2487, 1296, 267, 4550, 8686, 3147, 1588, 18941, 814, 4847, 585, 519, 556, 655, 1120, 775, 540, 27330, 17061, 563, 3725, 6614, 6794, 568, 513, 1875, 10391, 10855, 2165, 8720, 513, 1895, 540, 26945, 4713, 269, 5047, 267, 711, 1152, 519, 946, 540, 1035, 1214, 3149, 531, 5390, 997, 3679, 855, 849, 540, 4550, 655, 7497, 568, 19250, 1713, 538, 1234, 6614, 6794, 2665, 269, 5637, 5013, 14020, 519, 14496, 540, 519, 16917, 8344, 12220, 11021, 513, 3095, 609, 1035, 1214, 3149, 531, 5390, 997, 3679, 563, 763, 19583, 540, 513, 3989, 2014, 13716, 2078, 1063, 29469, 6981, 543, 1234, 6614, 6794, 538, 1453, 568, 711, 6462, 676, 6190, 5013, 269, 22682, 267, 1100, 3075, 2126, 568, 1510, 2427, 2360, 269, 4935, 267, 513, 7059, 2070, 540, 2436, 2126, 609, 513, 1978, 3075, 568, 20582, 538, 2474, 540, 519, 4324, 270, 14490, 5223, 568, 2141, 2556, 269, 1306, 2869, 514, 568, 1100, 9868, 563, 23178, 1325, 553, 323, 1515, 6601, 1188, 523, 16466, 267, 1767, 267, 834, 2467, 616, 7899, 540, 1387, 2471, 545, 2472, 5627, 1612, 659, 564, 600, 565, 543, 16481, 1575, 19745, 523, 585, 713, 2085, 1895, 711, 2404, 609, 1234, 6614, 781, 6794, 269, 1703, 568, 3274, 1100, 991, 547, 16616, 1346, 896, 476, 1626, 547, 519, 1981, 1765, 6011, 1197, 1507, 4799, 314, 24791, 589, 316, 3112, 2061, 610, 10826, 519, 27330, 454, 8201, 476, 272, 281, 7797, 539, 2475, 27330, 11841, 267, 476, 4198, 271, 1700, 1220, 272, 563, 347, 310, 1731, 1172, 1774, 814, 24185, 1644, 547, 281, 2725, 553, 956, 2008, 347, 310, 1731, 12855, 12780, 814, 2923, 1644, 547, 2725, 553, 956, 1547, 347, 0, 312, 7541, 568, 513, 1390, 29916, 2573, 22083, 543, 621, 1281, 621, 6923, 269, 7102, 2186, 540, 3635, 13847, 10399, 602, 948, 8897, 519, 2566, 602, 1419, 5012, 547, 519, 21462, 610, 30739, 4965, 269, 11314, 8952, 707, 2247, 2484, 689, 2942, 4555, 543, 2636, 596, 547, 2744, 5813, 883, 21140, 538, 707, 1272, 269, 4658, 945, 616, 20158, 610, 1524, 1419, 3668, 519, 17003, 547, 3635, 269, 898, 3085, 1406, 1491, 5176, 607, 1454, 4674, 547, 798, 513, 18639, 6296, 607, 621, 1281, 547, 960, 856, 547, 513, 3381, 610, 5397, 547, 519, 15547, 269, 589, 2262, 540, 9963, 282, 952, 596, 1995, 811, 982, 1175, 519, 17573, 536, 719, 4965, 543, 1745, 1524, 585, 811, 982, 1079, 4374, 693, 513, 942, 267, 596, 1058, 3343, 3318, 948, 269, 1358, 949, 1745, 602, 596, 991, 2126, 610, 3797, 267, 543, 1697, 3635, 563, 25802, 1419, 1004, 945, 616, 20158, 4749, 3668, 519, 5834, 547, 3247, 543, 2119, 547, 31028, 2933, 689, 741, 4555, 269, 18639, 568, 9066, 538, 3350, 865, 621, 568, 4443, 547, 1847, 707, 2247, 2476, 689, 1244, 7675, 4555, 269, 18639, 779, 1445, 593, 3666, 666, 849, 948, 596, 3142, 1394, 707, 2790, 4222, 563, 312, 7541, 814, 513, 2312, 24408, 4276, 1063, 2247, 267, 1560, 267, 543, 6891, 602, 1100, 824, 1106, 540, 3635, 610, 9066, 666, 12492, 593, 922, 1378, 269, 20134, 4555, 666, 1832, 721, 689, 7680, 938, 4105, 6418, 2470, 269, 8935, 23336, 267, 27945, 1145, 267, 21817, 267, 3284, 4331, 543, 2901, 12008, 1932, 1454, 610, 711, 2614, 616, 782, 4191, 540, 4965, 269, 18639, 568, 2966, 547, 3142, 596, 6251, 547, 707, 6418, 1582, 282, 621, 1287, 568, 1152, 2067, 602, 621, 666, 948, 609, 930, 540, 519, 2589, 540, 4965, 563, 26807, 2022, 999, 666, 3310, 707, 7099, 543, 1450, 4965, 547, 1439, 855, 835, 2027, 1306, 3570, 666, 1406, 10826, 4965, 269, 634, 1306, 11446, 4217, 538, 2810, 707, 5761, 4390, 3850, 811, 5135, 547, 3914, 782, 519, 4299, 2694, 540, 707, 1560, 1519, 707, 7099, 269, 1306, 3570, 2022, 999, 666, 948, 30701, 1648, 2157, 543, 22376, 1375, 880, 1145, 269, 1411, 1058, 2307, 707, 18639, 14357, 547, 948, 596, 543, 2303, 2022, 999, 602, 1131, 1655, 4217, 596, 547, 3666, 707, 30181, 563, 763, 2259, 540, 10649, 1608, 916, 519, 8401, 1062, 543, 2636, 596, 547, 10146, 519, 3095, 1063, 707, 2247, 543, 4664, 269, 1358, 666, 1312, 581, 1031, 547, 948, 1142, 824, 269, 1306, 7244, 568, 606, 1271, 851, 540, 18639, 267, 621, 666, 849, 948, 596, 547, 3970, 4160, 267, 9350, 707, 4555, 267, 543, 948, 596, 13404, 593, 2318, 1648, 2864, 982, 2942, 563, 12179, 2511, 540, 18639, 666, 948, 596, 24815, 4606, 540, 4965, 269, 898, 949, 711, 581, 9308, 14053, 855, 596, 786, 1745, 865, 1454, 1732, 693, 519, 1439, 540, 707, 8400, 269, 5457, 267, 952, 596, 723, 513, 4049, 19591, 12558, 282, 3343, 5796, 689, 609, 513, 3318, 269, 13693, 609, 707, 16362, 1354, 4358, 547, 2259, 10649, 547, 581, 2386, 972, 568, 1100, 4655, 609, 1022, 2126, 596, 949, 581, 18460, 269, 1403, 596, 1616, 547, 2119, 513, 18639, 6296, 4481, 585, 4965, 267, 1265, 513, 4116, 945, 666, 1711, 513, 2123, 6296, 585, 596, 269, 18639, 3610, 723, 1044, 14916, 8036, 585, 713, 3483, 543, 917, 799, 7158, 602, 616, 519, 1034, 5078, 585, 1121, 539, 658, 5301, 563, 763, 5413, 540, 1210, 707, 6049, 607, 851, 540, 707, 6539, 568, 602, 621, 779, 519, 835, 6221, 596, 2461, 2693, 547, 723, 609, 596, 16382, 596, 616, 269, 8073, 513, 17835, 540, 9066, 8924, 267, 971, 607, 2836, 332, 267, 6184, 697, 267, 6844, 327, 1518, 543, 10361, 11898, 267, 865, 952, 596, 991, 547, 1491, 513, 1906, 3764, 547, 9350, 707, 2247, 610, 13285, 596, 666, 6432, 547, 513, 11461, 9066, 269, 1703, 616, 849, 8924, 602, 5401, 596, 547, 1589, 827, 1018, 596, 2461, 9684, 995, 585, 267, 971, 607, 1548, 779, 6153, 563, 3963, 711, 2322, 1927, 513, 4313, 1404, 4289, 540, 19463, 26107, 602, 12740, 707, 14326, 267, 2087, 707, 7099, 543, 10069, 1047, 596, 286, 898, 3085, 1406, 2339, 875, 4608, 944, 707, 5542, 568, 267, 1100, 835, 3116, 991, 6432, 547, 621, 269, 2107, 29289, 513, 5542, 602, 7959, 25695, 543, 1964, 995, 267, 538, 2013, 602, 779, 1018, 2337, 693, 513, 1880, 4090, 563, 7197, 11436, 723, 513, 5639, 1509, 334, 813, 1141, 596, 666, 2594, 3054, 6158, 269, 12344, 2594, 513, 5048, 547, 1404, 547, 3054, 950, 596, 2461, 4743, 3226, 14221, 267, 13347, 610, 1970, 563, 7197, 1004, 779, 11436, 616, 4904, 609, 6337, 630, 6518, 789, 10355, 1205, 5180, 547, 8228, 264, 865, 2322, 1927, 513, 3059, 17581, 602, 2306, 596, 12837, 269, 898, 1223, 1331, 6337, 540, 707, 1920, 267, 2828, 543, 11537, 10130, 267, 14026, 602, 7618, 596, 540, 6126, 8823, 610, 10207, 602, 10575, 3424, 596, 563, 29973, 11041, 666, 581, 513, 3432, 344, 3070, 1317, 950, 596, 11375, 1446, 519, 20416, 621, 4422, 2786, 547, 707, 18215, 545, 1062, 267, 799, 5540, 707, 7553, 543, 3965, 269, 2334, 779, 1946, 3006, 782, 621, 3217, 568, 513, 627, 858, 540, 513, 9329, 14678, 547, 1689, 707, 7099, 543, 3142, 1394, 8823, 269, 898, 779, 1134, 1634, 602, 9106, 558, 850, 543, 32175, 616, 22196, 543, 25695, 630, 24392, 621, 779, 4502, 19551, 602, 811, 32175, 982, 596, 991, 666, 723, 519, 6587, 1198, 1070, 18812, 26258, 568, 10575, 14823, 543, 890, 653, 1069, 842, 24253, 269, 5901, 513, 2370, 11480, 13561, 547, 11375, 1446, 950, 2838, 610, 3442, 513, 5066, 6823, 971, 607, 570, 1170, 518, 663, 779, 10361, 13068, 610, 1546, 21178, 816, 267, 610, 3026, 531, 779, 962, 731, 3816, 12203, 685, 6052, 610, 4039, 1314, 566, 269, 1452, 24025, 666, 581, 6299, 5523, 593, 547, 707, 13942, 2798, 543, 789, 2461, 1507, 2614, 547, 3514, 538, 513, 17927, 563, 2691, 596, 2461, 10010, 15508, 267, 513, 1592, 540, 3527, 602, 596, 666, 3442, 689, 547, 948, 3054, 666, 581, 3730, 269, 3503, 873, 1524, 543, 1832, 873, 12341, 13561, 267, 899, 707, 11380, 2721, 518, 610, 9126, 269, 2107, 4688, 873, 607, 513, 4063, 593, 707, 6049, 865, 596, 666, 1569, 873, 9170, 267, 1022, 942, 563, 1432, 596, 2328, 593, 519, 1592, 568, 2123, 547, 596, 1107, 1018, 1131, 1118, 596, 1745, 1732, 950, 596, 2461, 2348, 513, 9157, 1554, 286, 9320, 2469, 585, 513, 3802, 267, 6947, 547, 707, 4313, 1404, 4289, 610, 943, 11238, 513, 3659, 267, 610, 811, 1964, 995, 10372, 899, 2921, 513, 23040, 267, 2542, 513, 3184, 540, 707, 1433, 610, 1199, 23550, 563, 2005, 779, 4502, 15663, 1524, 930, 2596, 2093, 1932, 1107, 6704, 513, 4837, 540, 1216, 267, 1818, 513, 7484, 540, 7401, 267, 4189, 1945, 16138, 5109, 610, 2921, 513, 1906, 2620, 24967 ]

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

[ 5444, 666, 1780, 689, 5108, 547, 5108, 609, 856, 1373, 6829, 2394, 513, 20282, 547, 1776, 2915, 602, 11438, 519, 1482, 12424, 633, 2681, 5444, 269, 3973, 519, 2681, 666, 581, 6829, 256, 901, 814, 2965, 5949, 538, 1082, 1397, 3515, 2094, 1397, 9742, 619, 616, 811, 19038, 547, 1899, 9742, 543, 538, 3691, 539, 741, 5243, 547, 1205, 519, 5551, 7907, 538, 741, 1397, 5243, 602, 789, 1616, 269, 8786, 267, 972, 814, 1044, 1256, 606, 31650, 290, 19598, 542, 602, 814, 3812, 519, 3487, 328, 2681, 543, 1082, 29073, 602, 723, 5293, 593, 519, 3487, 328, 5444, 2469, 676, 7895, 580, 4181, 2336, 763, 1739, 568, 519, 1699, 11807, 1259, 602, 519, 3487, 328, 2681, 568, 15110, 454, 2252, 596, 9742, 513, 3487, 328, 11954, 3840, 773, 547, 513, 3487, 328, 11954, 3840, 773, 267, 596, 786, 1205, 20231, 3487, 328, 11954, 29067, 2336, 2252, 596, 9742, 513, 3487, 328, 11954, 3840, 773, 547, 513, 3487, 328, 2961, 8175, 12465, 11954, 3840, 773, 630, 16673, 723, 8795, 5666, 540, 3043, 24795, 593, 873, 1070, 596, 1058, 1205, 606, 1285, 326, 269, 540, 476, 2004, 260, 3487, 328, 11954, 29067, 543, 476, 2004, 260, 3487, 328, 2961, 8175, 12465, 11954, 3840, 773, 29067, 609, 8795, 5666, 540, 3043, 593, 873, 563, 2252, 596, 9742, 513, 3487, 328, 11954, 3840, 773, 547, 513, 9208, 11954, 3840, 773, 267, 596, 786, 1205, 20231, 3487, 328, 2961, 8175, 570, 2784, 1308, 11954, 29067, 256, 1452, 786, 723, 8795, 5666, 540, 3043, 593, 873, 2336, 2252, 596, 9742, 513, 3487, 328, 2961, 8175, 12465, 11954, 3840, 773, 547, 513, 3487, 328, 2961, 8175, 12465, 11954, 3840, 773, 630, 28785, 789, 666, 723, 8795, 5666, 540, 3043, 593, 873, 1070, 596, 1058, 1205, 606, 1285, 326, 269, 540, 476, 1839, 260, 3044, 11954, 3840, 625, 267, 476, 2004, 260, 3487, 328, 2961, 8175, 12465, 11954, 3840, 625, 630, 5976, 8795, 5666, 540, 3043, 593, 873, 264, 543, 476, 1839, 260, 786, 581, 3487, 328, 11954, 3840, 773, 29067, 2336, 2252, 596, 9742, 513, 3487, 328, 2961, 8175, 12465, 11954, 3840, 773, 547, 513, 9208, 11954, 3840, 773, 267, 596, 1058, 1205, 606, 1285, 326, 269, 540, 476, 2004, 260, 3044, 11954, 3840, 625, 543, 476, 2004, 260, 3487, 328, 2961, 8175, 12465, 11954, 3840, 625, 630, 5976, 8795, 5666, 540, 3043, 593, 873, 25631, 2690, 803, 267, 1272, 568, 1932, 2110, 547, 5855, 827, 519, 2681, 540, 1250, 2915, 256, 1403, 596, 2972, 519, 2681, 267, 1287, 602, 568, 1018, 12523, 256, 634, 3487, 328, 543, 519, 7108, 949, 2760, 1586, 581, 1397, 762, 538, 31650, 290, 598, 4146, 31698, 630, 296, 723, 2097, 2066, 606, 31650, 290, 19598, 542, 602, 814, 717, 5357, 291, 607, 621, 781, 2681, 267, 602, 2915, 568, 8863, 269, 23239, 528, 3780, 262, 667, 22929, 11576, 566, 25526, 278, 5038, 26522, 476, 1321, 268, 7761, 717, 5357, 291, 1070, 855, 1287, 1586, 267, 2094, 865, 1082, 1004, 616, 1631, 7255, 827, 5329, 891, 4686, 4778, 9800, 543, 1134, 267, 649, 949, 2943, 1294, 519, 3487, 328, 543, 519, 717, 9529, 538, 519, 31650, 290, 1397, 8258, 256, 4033, 2915, 2982, 896, 513, 1114, 1036, 3588, 616, 16561, 519, 3487, 328, 2051, 1819, 3840, 625, 547, 581, 3254, 267, 1256, 547, 741, 29073, 1222, 256, 1924, 267, 594, 13948, 786, 1832, 1250, 4126, 9800, 602, 835, 1554, 267, 891, 16887, 2051, 1819, 3840, 625, 786, 581, 4847, 547, 1491, 741, 1318, 995, 1747, 267, 711, 1152, 538, 938, 5321, 267, 855, 849, 538, 519, 1397, 8258, 2336, 296, 1336, 891, 1739, 4930, 543, 4280, 10479, 547, 946, 873, 585, 707, 454, 15574, 269, 7490, 2307, 10479, 952, 596, 6999, 547, 5299, 1250, 2376, 610, 6999, 547, 2307, 519, 454, 23116, 540, 519, 1739, 4930, 707, 6999, 547, 5299, 563, 265, 2171, 1312, 2503, 602, 649, 581, 2016, 4589, 1222, 6284, 952, 596, 723, 1044, 2016, 10479, 547, 946, 891, 4930, 256, 20330, 1692, 3487, 328, 3840, 625, 595, 877, 547, 2142, 4429, 2421, 590, 826, 6519, 454, 6624, 26617, 3840, 773, 5411, 543, 9742, 619, 267, 11613, 20549, 547, 3494, 602, 519, 3487, 328, 11954, 3840, 773, 568, 4376, 824, 982, 513, 2487, 834, 2041, 16442, 519, 737, 3317, 601, 26870, 257, 4573, 339, 269, 1358, 2161, 281, 834, 2467, 568, 12971, 3043, 5444, 538, 938, 26192, 321, 1042, 3840, 625, 257, 610, 834, 2467, 568, 12971, 2594, 540, 1022, 3840, 773, 2479, 9960, 547, 513, 3043, 610, 851, 328, 11954, 2915, 257, 610, 834, 5591, 1397, 9742, 518, 945, 781, 1044, 9960, 543, 6029, 585, 476, 1789, 610, 476, 2412, 1296, 267, 814, 2479, 3812, 513, 851, 328, 11954, 3840, 773, 1701, 594, 6415, 2469, 547, 2119, 547, 13599, 1004, 593, 2681, 11976, 267, 12424, 633, 6090, 543, 875, 519, 3487, 328, 5444, 7283, 6456, 538, 519, 31920, 1768, 8175, 9742, 585, 1296, 563, 2171, 917, 689, 938, 3840, 773, 1686, 267, 602, 2038, 5638, 941, 711, 6854, 593, 519, 5748, 9960, 6006, 269, 594, 12517, 8969, 267, 602, 1394, 538, 519, 2395, 1141, 838, 11691, 543, 6120, 1359, 729, 711, 2944, 267, 602, 519, 6705, 543, 2324, 1362, 3885, 4769, 1405, 723, 519, 834, 11484, 553, 1308, 257, 796, 680, 10165, 6379, 538, 741, 666, 1149, 269, 1403, 4376, 267, 621, 5949, 811, 1287, 267, 982, 621, 1281, 2221, 269, 3778, 849, 4967, 602, 519, 631, 5306, 3150, 729, 26870, 547, 519, 31920, 1768, 8175, 547, 3986, 519, 9403, 543, 3259, 540, 519, 31920, 1768, 13205, 10359, 267, 2094, 1034, 540, 519, 2038, 5243, 2219, 547, 723, 3323, 519, 9742, 267, 941, 7745, 688, 1600, 5243, 609, 10156, 267, 1071, 32242, 25151, 269, 898, 781, 13006, 538, 930, 540, 519, 9998, 5638, 602, 519, 5748, 6006, 540, 938, 9742, 267, 941, 3444, 1532, 1042, 5243, 543, 5243, 1510, 7895, 580, 4181, 630, 15367, 781, 6561, 568, 7164, 1040, 4634, 952, 891, 5243, 4769, 1405, 1413, 851, 328, 11954, 789, 1223, 454, 854, 1134, 723, 3771, 321, 1819, 519, 12424, 633, 3487, 328, 5444, 538, 741, 5027, 17539, 269, 6787, 741, 3993, 11721, 1430, 267, 20516, 270, 6588, 526, 15289, 610, 1390, 20516, 17320, 805, 22516, 3267, 729, 851, 328, 11954, 267, 1100, 835, 1131, 2731, 917, 267, 2094, 2594, 5329, 693, 602, 942, 538, 1686, 267, 729, 2370, 547, 9039, 563, 763, 3487, 328, 5444, 666, 1152, 581, 6829, 952, 513, 851, 328, 5444, 15298, 568, 26870, 547, 1776, 851, 328, 5444, 15298, 269, 589, 15298, 786, 1413, 899, 513, 2757, 11954, 3840, 773, 855, 568, 4535, 609, 6148, 930, 3043, 593, 621, 781, 24060, 267, 9221, 543, 5924, 3952, 269, 769, 713, 2013, 1141, 513, 851, 328, 15298, 568, 26870, 547, 1776, 851, 328, 15298, 267, 476, 1839, 260, 540, 519, 15556, 786, 581, 2757, 3840, 625, 630, 2254, 8876, 519, 5444, 1070, 476, 2004, 260, 786, 581, 2757, 11954, 3840, 625, 945, 798, 4163, 519, 12424, 633, 851, 328, 5444, 543, 476, 1839, 260, 540, 519, 15556, 786, 581, 4890, 3487, 328, 11954, 5243, 269, 31650, 290, 814, 4847, 3487, 328, 11954, 3840, 625, 547, 581, 14718, 585, 14261, 2094, 476, 1220, 271, 269, 13405, 547, 602, 942, 267, 851, 328, 11954, 15556, 941, 7363, 2016, 2476, 1510, 4574, 610, 10032, 630, 13433, 267, 10032, 1040, 594, 917, 540, 1896, 9742, 619, 945, 723, 10032, 513, 16445, 540, 834, 31162, 21215, 257, 851, 328, 11954, 4996, 1186, 563, 763, 1034, 30508, 1634, 1899, 540, 3487, 328, 3840, 625, 568, 519, 834, 30210, 1899, 257, 610, 21208, 14150, 781, 1899, 269, 1452, 5243, 616, 782, 18939, 540, 606, 31650, 290, 19598, 542, 3957, 21208, 14150, 781, 17029, 3149, 20858, 576, 12891, 2917, 269, 5565, 6131, 9742, 619, 538, 4993, 267, 10692, 547, 1205, 713, 1899, 540, 3487, 328, 11954, 3840, 625, 267, 10805, 676, 31650, 290, 269, 901, 1899, 540, 3487, 328, 19057, 543, 3487, 328, 11954, 3840, 625, 2501, 689, 513, 1134, 1634, 1397, 9742, 518, 945, 781, 1044, 9960, 543, 6029, 585, 936, 476, 2412, 1296, 269, 10783, 344, 26690, 1396, 1562, 543, 5481, 540, 5243, 689, 713, 1899, 941, 5027, 9364, 1991, 547, 31650, 290, 781, 13170, 540, 14261, 563, 763, 31920, 6833, 13205, 9742, 4441, 723, 4957, 936, 519, 1296, 269, 634, 834, 24092, 257, 2681, 568, 4544, 543, 16009, 267, 1022, 824, 2681, 568, 2808, 547, 581, 834, 19423, 9208, 1701, 19402, 519, 1007, 2681, 771, 23974, 2305, 4341, 4682, 883, 1198, 267, 1055, 3044, 11954, 267, 3109, 543, 16009, 543, 3109, 543, 4154, 26294, 625, 723, 9411, 519, 1397, 8258, 543, 4465, 741, 22299, 4567, 269, 11621, 723, 4957, 543, 711, 1152, 798, 649, 1631, 723, 4130, 21092, 5243, 982, 538, 519, 3735, 476, 5197, 271, 781, 267, 855, 930, 540, 938, 834, 4752, 3044, 2437, 18632, 22862, 5243, 723, 1044, 4847, 883, 519, 1397, 8258, 563, 28775, 2685, 891, 2010, 540, 2242, 2059, 609, 513, 1732, 1620, 540, 2681, 11976, 267, 786, 1930, 519, 7450, 585, 519, 4797, 267, 3395, 10343, 540, 519, 3487, 328, 11954, 3840, 773, 269, 3487, 328, 3840, 625, 25758, 681, 22664, 267, 789, 616, 2182, 547, 1265, 543, 607, 3761, 543, 3747, 4422, 267, 789, 798, 1942, 811, 982, 519, 2757, 11954, 3840, 773, 563, 8512, 328, 11954, 3840, 625, 616, 2635, 2831, 543, 789, 616, 711, 513, 4719, 1954, 752, 540, 2470, 607, 930, 1004, 267, 2516, 610, 7270, 2303, 269, 769, 713, 1554, 540, 1085, 600, 5159, 543, 1004, 3168, 547, 1118, 513, 3728, 11369, 267, 1250, 19583, 568, 547, 4444, 689, 18019, 9742, 619, 945, 723, 741, 5243, 5027, 9364, 543, 5924, 741, 5243, 616, 689, 1634, 3515, 540, 3487, 328, 6721, 5243, 269, 1703, 616, 824, 3840, 773, 3515, 540, 851, 328, 19057, 543, 12696, 855, 519, 4993, 1899, 568, 519, 1655, 1634, 269, 1924, 798, 707, 1382, 267, 1205, 8100, 543, 723, 606, 1930, 2247, 269, 901, 5444, 814, 1044, 538, 930, 540, 938, 3840, 773, 1973, 6050, 585, 1296, 543, 1296, 543, 1296, 3267, 543, 952, 596, 1589, 621, 781, 711, 2009, 267, 1810, 1405, 581, 14281, 952, 835, 1554, 267, 707, 1378, 6986, 321, 1042, 3840, 773, 7472, 513, 7782, 540, 513, 1114, 2681, 2336, 2419, 8981, 543, 18000, 610, 28688, 543, 7108, 563, 25565, 27413, 616, 912, 23325, 543, 18000, 4563, 543, 18000, 454, 23325, 543, 7108, 4563, 543, 7108, 454, 9288, 753, 1412, 4820, 6519, 23823, 763, 31650, 290, 5027, 476, 5655, 1396, 1562, 950, 513, 1397, 9742, 518, 4941, 547, 11578, 713, 2681, 543, 26906, 519, 4587, 1283, 1397, 9742, 619, 543, 4956, 602, 713, 568, 513, 11578, 762, 2681, 2336, 8512, 328, 4211, 565, 832, 666, 581, 538, 1022, 11807, 2681, 912, 25565, 9791, 543, 18000, 3487, 328, 4211, 565, 528, 2676, 2465, 2349, 27475, 3487, 328, 4211, 565, 528, 563, 2465, 2349, 27475, 28688, 3487, 328, 4211, 565, 528, 563, 288, 298, 290, 814, 7608, 7108, 1256, 607, 29073, 267, 865, 786, 1397, 602, 2681, 1101, 563, 29995, 789, 5027, 1449, 607, 552, 324, 2073, 855, 693, 2053, 786, 1449, 607, 32318, 563, 2465, 786, 10691, 723, 1022, 4563, 24827, 2676, 599, 654, 21135, 22743, 12717, 4563, 24827, 563, 2465, 2681, 666, 4268, 689, 1360, 1769, 3592, 6519, 547, 1360, 4158, 6960, 563, 288, 6828, 540, 6833, 13205, 689, 519, 476, 866, 628, 2540, 563, 763, 4787, 6614, 6833, 8175, 269, 634, 8857, 577, 6833, 8175, 267, 634, 2296, 3911, 26743, 6833, 8175, 267, 634, 9061, 539, 8857, 577, 6833, 8175, 267, 634, 667, 663, 773, 20550, 23992, 543, 634, 18409, 6833, 8175, 269, 31598, 1768, 13205, 899, 891, 941, 930, 540, 519, 2038, 5748, 6006, 540, 519, 31920, 6833, 8175, 563, 763, 4686, 4778, 540, 570, 3198, 267, 3487, 328, 4211, 565, 1819, 543, 28688, 616, 7608, 676, 519, 31650, 290, 630, 13563, 26366, 601, 11833, 1070, 519, 20031, 1512, 2915, 1036, 3588, 952, 2366, 538, 609, 5961, 540, 519, 2915, 9706, 6269, 344, 269, 0, 5475, 28277, 909, 3636, 267, 649, 5887, 3293, 856, 883, 519, 4411, 12784, 269, 3776, 4305, 2221, 729, 547, 946, 938, 1966, 6061, 543, 16542, 1983, 547, 1305, 18162, 1210, 513, 1883, 543, 2067, 3615, 269, 901, 3576, 9639, 543, 942, 855, 2899, 938, 18162, 941, 1305, 543, 7318, 267, 519, 824, 2516, 1185, 547, 1294, 952, 789, 1223, 1246, 873, 269, 1284, 616, 20938, 547, 1867, 602, 789, 782, 5249, 2336, 5194, 966, 28475, 4411, 12784, 267, 2705, 649, 616, 1500, 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 ]

[ 17292, 1194, 717, 5424, 281, 1306, 513, 4831, 4812, 547, 519, 8670, 779, 3638, 2609, 267, 4584, 1194, 20909, 630, 21865, 2699, 610, 968, 17754, 328, 695, 7541, 14615, 568, 3773, 269, 4706, 8325, 1145, 543, 8126, 2759, 998, 519, 8645, 1465, 540, 519, 26185, 543, 519, 3170, 339, 1465, 540, 519, 20230, 267, 3246, 513, 24253, 4334, 269, 634, 20909, 849, 5713, 547, 2973, 572, 519, 31370, 267, 3850, 7188, 619, 547, 4628, 5660, 519, 16221, 10366, 538, 1169, 22635, 995, 563, 302, 7219, 11867, 590, 20899, 568, 711, 1175, 513, 8670, 282, 621, 779, 513, 2239, 540, 744, 7219, 11867, 779, 2189, 2686, 3460, 269, 898, 779, 513, 15266, 547, 519, 10195, 685, 6043, 267, 5876, 267, 543, 519, 2702, 547, 585, 613, 606, 3961, 602, 267, 1247, 12082, 538, 2245, 267, 568, 3982, 569, 922, 1378, 269, 1306, 609, 782, 744, 7219, 1177, 534, 11951, 267, 744, 7219, 11867, 590, 20899, 20217, 596, 711, 1175, 547, 3548, 267, 855, 547, 851, 820, 538, 513, 1650, 602, 21269, 5553, 267, 835, 8949, 11116, 693, 513, 942, 563, 763, 12472, 543, 29675, 540, 10548, 523, 454, 305, 29546, 267, 1247, 30883, 24207, 569, 5545, 538, 922, 1699, 1106, 267, 568, 513, 8670, 602, 20206, 12885, 519, 6891, 540, 11477, 4720, 543, 9542, 269, 6145, 513, 2713, 11248, 267, 621, 814, 9927, 267, 9862, 267, 543, 7960, 538, 3210, 547, 513, 16221, 540, 7506, 936, 519, 5756, 269, 901, 4720, 568, 711, 1175, 513, 15266, 547, 4657, 16919, 855, 849, 513, 8086, 540, 3567, 779, 8739, 14426, 3460, 543, 922, 4205, 609, 519, 6626, 1158, 563, 14813, 26475, 540, 2199, 5820, 543, 2528, 593, 6237, 8677, 912, 9336, 12826, 540, 986, 5443, 6645, 513, 1650, 540, 519, 3148, 689, 799, 621, 688, 2812, 269, 634, 9661, 568, 711, 1175, 827, 10366, 855, 849, 827, 1686, 267, 2916, 267, 2528, 267, 543, 2199, 3132, 563, 268, 10871, 23123, 281, 2311, 519, 2295, 540, 1169, 6237, 986, 5443, 8390, 6013, 519, 13345, 540, 2199, 5820, 269, 6787, 621, 779, 519, 946, 540, 4195, 16872, 538, 2156, 2195, 676, 9381, 4525, 267, 610, 519, 25465, 540, 2199, 5388, 543, 16469, 267, 891, 5820, 1404, 513, 11358, 1909, 538, 5935, 513, 3148, 779, 15040, 986, 5443, 269, 1358, 2327, 602, 1142, 12826, 568, 711, 1175, 8949, 855, 849, 513, 8086, 540, 519, 1327, 1446, 779, 6694, 543, 7286, 29667, 344, 563, 268, 8836, 14118, 1878, 281, 3683, 519, 5553, 267, 3567, 814, 14754, 6329, 540, 2686, 3310, 267, 689, 519, 4367, 540, 13221, 547, 4205, 609, 15231, 2477, 269, 3962, 5951, 814, 2451, 922, 1665, 593, 5545, 11951, 269, 1280, 3236, 267, 519, 3638, 267, 20230, 13463, 8283, 2156, 2195, 540, 930, 986, 5443, 6163, 666, 10250, 741, 8129, 547, 4457, 11477, 5389, 267, 1247, 1978, 547, 25940, 543, 14546, 949, 723, 1044, 5189, 998, 4123, 543, 2686, 15377, 563, 268, 29725, 1738, 11154, 725, 281, 634, 2916, 540, 513, 3148, 814, 513, 7096, 1764, 593, 922, 11951, 269, 634, 2295, 344, 267, 3638, 2156, 2195, 540, 670, 758, 330, 4660, 334, 779, 590, 1952, 19660, 986, 5443, 267, 585, 1383, 267, 666, 581, 2938, 607, 513, 8949, 3210, 547, 519, 3148, 779, 4411, 2916, 267, 5356, 14246, 543, 32351, 269, 769, 4334, 267, 14402, 267, 811, 24253, 2156, 2195, 1522, 581, 23163, 538, 15911, 4525, 563, 763, 2413, 6377, 986, 5443, 12760, 543, 3486, 7648, 912, 1103, 2487, 5756, 267, 986, 5443, 814, 10489, 2105, 922, 22657, 779, 10665, 543, 814, 1044, 2295, 1176, 17947, 5001, 269, 901, 2518, 3460, 814, 8507, 538, 513, 4241, 7613, 281, 519, 4332, 540, 12760, 15155, 839, 543, 519, 1646, 540, 3486, 7648, 563, 268, 674, 4288, 10548, 523, 281, 7073, 22730, 267, 1312, 538, 3567, 543, 11451, 267, 616, 19234, 609, 986, 5443, 676, 1102, 6748, 621, 609, 10366, 543, 5820, 689, 1585, 32345, 269, 6787, 621, 779, 513, 986, 5443, 609, 513, 26185, 29689, 609, 17310, 5144, 543, 21487, 14546, 610, 513, 12826, 547, 5529, 609, 5820, 899, 25636, 543, 521, 1023, 320, 267, 12760, 986, 5443, 20502, 5876, 543, 11477, 29412, 563, 268, 4139, 29938, 281, 1306, 986, 5443, 14612, 267, 621, 9862, 547, 2199, 16919, 267, 3056, 547, 519, 4332, 540, 3982, 3486, 6163, 269, 1280, 3236, 267, 538, 519, 772, 2529, 1421, 835, 1522, 1265, 968, 30210, 10548, 523, 892, 609, 547, 25940, 899, 25989, 543, 1989, 2683, 9269, 267, 610, 538, 2342, 267, 986, 5443, 1522, 581, 9862, 609, 2199, 11922, 543, 29380, 525, 269, 769, 9705, 267, 972, 779, 968, 305, 600, 6614, 517, 2223, 513, 25970, 14583, 602, 779, 513, 20013, 538, 922, 1378, 1318, 563, 268, 634, 10020, 540, 2382, 656, 10548, 523, 281, 898, 779, 7543, 547, 1865, 986, 5443, 779, 2518, 11640, 1510, 14344, 8216, 986, 5443, 269, 13823, 1027, 538, 519, 476, 736, 628, 2540, 267, 891, 2656, 2275, 8504, 30653, 723, 5129, 513, 2629, 1909, 538, 2442, 1944, 986, 5443, 5001, 269, 1358, 4076, 849, 6273, 513, 16221, 540, 14624, 267, 609, 1004, 4946, 741, 2199, 5820, 543, 23538, 547, 519, 2596, 8216, 562, 22259, 17142, 563, 305, 29546, 779, 4720, 543, 9542, 616, 30118, 1738, 540, 519, 6422, 2470, 540, 1426, 269, 898, 779, 513, 12576, 602, 32345, 267, 1100, 2339, 875, 2757, 267, 616, 711, 11979, 269, 1358, 11457, 267, 3082, 267, 543, 538, 519, 1184, 267, 1831, 513, 13795, 602, 649, 2314, 1927, 16060, 540, 1686, 267, 2528, 267, 11585, 267, 543, 5647, 269, 10548, 523, 267, 538, 782, 922, 32219, 7648, 267, 6763, 607, 513, 15266, 547, 8103, 779, 15851, 2648, 26035, 609, 1426, 543, 519, 2984, 621, 6645, 563, 305, 29546, 21094, 538, 3567, 454, 7021, 519, 1296, 267, 986, 5443, 814, 711, 1175, 7283, 513, 11537, 8670, 585, 519, 5545, 855, 814, 1831, 513, 2686, 30118, 269, 4706, 4473, 547, 21239, 814, 2840, 339, 1117, 513, 2189, 2186, 540, 9235, 1107, 10548, 523, 21094, 269, 3245, 2199, 7192, 20601, 15606, 547, 3486, 12439, 267, 1082, 7832, 593, 19623, 1137, 547, 3567, 267, 9003, 11461, 676, 519, 1391, 547, 521, 2948, 519, 1655, 267, 1034, 8076, 26633, 540, 986, 5443, 269, 1809, 621, 779, 711, 1175, 827, 519, 6492, 269, 898, 779, 827, 9284, 532, 13951, 538, 519, 3003, 986, 5443, 1995, 563, 28082, 10548, 523, 6790, 1115, 543, 14080, 11040, 912, 268, 10548, 523, 6790, 1115, 281, 20290, 1169, 2101, 2749, 538, 3567, 19646, 513, 968, 305, 29546, 9335, 892, 610, 968, 305, 29546, 962, 758, 5255, 334, 1848, 1452, 616, 620, 2917, 1811, 610, 13102, 31523, 609, 986, 5443, 15945, 267, 1142, 642, 3539, 585, 519, 2140, 540, 519, 1655, 12826, 538, 4884, 269, 589, 8037, 1383, 568, 519, 590, 1952, 19660, 10548, 523, 962, 758, 5255, 334, 538, 670, 758, 330, 4660, 334, 267, 513, 803, 17433, 585, 3765, 334, 986, 5443, 18798, 269, 3973, 972, 779, 519, 19519, 10548, 523, 9335, 4092, 538, 19519, 13749, 267, 5356, 17631, 513, 4960, 547, 3732, 3309, 986, 5443, 6163, 1510, 6028, 519, 6728, 563, 268, 10548, 523, 14080, 11040, 281, 10801, 519, 1032, 267, 1585, 4872, 538, 3567, 3984, 986, 5443, 15976, 269, 1452, 2621, 616, 513, 11812, 540, 782, 1919, 986, 5443, 267, 15386, 6237, 8677, 267, 5499, 12760, 26633, 267, 543, 2757, 29202, 269, 2290, 971, 2680, 568, 519, 19519, 10548, 523, 8058, 267, 799, 22168, 7589, 689, 986, 5443, 15945, 782, 2066, 3567, 269, 898, 779, 711, 1175, 513, 13037, 282, 621, 779, 513, 6735, 267, 609, 1142, 588, 718, 17935, 547, 3094, 519, 524, 913, 1540, 2140, 540, 2048, 12895, 986, 5443, 17483, 305, 29546, 631, 13952, 543, 3718, 10914, 585, 12875, 1235, 912, 268, 1744, 514, 25286, 758, 2129, 4821, 14780, 18210, 7467, 281, 10705, 29805, 519, 968, 11514, 2284, 1633, 540, 10548, 523, 2223, 713, 9754, 4092, 538, 962, 758, 2129, 4821, 568, 513, 1590, 23724, 527, 585, 986, 5443, 12439, 269, 2859, 982, 1175, 513, 9754, 267, 621, 779, 513, 27164, 2389, 1335, 539, 6288, 18187, 908, 19519, 689, 519, 476, 4198, 271, 338, 267, 519, 5736, 950, 986, 5443, 6591, 10373, 8560, 269, 6250, 6002, 666, 32603, 998, 519, 21305, 2389, 1335, 539, 10754, 267, 10386, 26633, 689, 12021, 986, 5443, 15945, 8204, 1114, 4525, 540, 3567, 269, 18766, 689, 4189, 267, 8436, 666, 1451, 827, 519, 1686, 540, 986, 5443, 267, 2070, 15225, 827, 922, 4720, 267, 543, 1256, 6718, 986, 5443, 5829, 6204, 1597, 15077, 563, 268, 10548, 523, 3718, 10914, 281, 20876, 519, 2518, 22906, 609, 986, 5443, 267, 1896, 24284, 1631, 2709, 986, 5443, 6194, 11925, 585, 14666, 269, 1452, 7886, 616, 711, 1175, 827, 1565, 519, 2553, 282, 789, 616, 827, 1620, 519, 6138, 3297, 519, 8670, 269, 19893, 616, 11461, 998, 519, 1184, 540, 1818, 30653, 267, 8600, 2156, 2195, 267, 543, 7011, 1782, 519, 3501, 12826, 269, 1358, 2461, 849, 13473, 827, 519, 4644, 540, 1142, 5057, 543, 922, 1909, 538, 8236, 519, 18900, 3666, 602, 11225, 513, 1434, 986, 5443, 563, 268, 2382, 656, 10548, 523, 7467, 538, 14642, 10440, 281, 667, 539, 5344, 547, 519, 21184, 540, 16474, 1993, 4157, 340, 1656, 334, 267, 519, 23266, 540, 8216, 30653, 267, 713, 9754, 568, 513, 24744, 547, 519, 2518, 7613, 540, 8216, 986, 5443, 269, 6250, 6002, 666, 1451, 827, 519, 1686, 540, 8216, 986, 5443, 267, 7198, 513, 18187, 320, 540, 519, 8774, 1141, 1656, 334, 1606, 534, 11827, 26560, 10548, 523, 267, 543, 1256, 1118, 741, 16419, 7484, 30653, 538, 519, 9754, 779, 968, 7069, 595, 308, 14149, 302, 7495, 299, 2464, 31543, 3034, 305, 29546, 21094, 538, 3567, 568, 513, 3460, 602, 14767, 711, 1175, 11477, 10508, 855, 849, 2686, 21599, 269, 898, 779, 827, 1620, 519, 9997, 540, 3567, 267, 835, 12826, 693, 513, 942, 269, 1306, 14666, 1793, 584, 335, 741, 1259, 998, 519, 10754, 267, 15882, 267, 543, 15976, 267, 789, 2461, 711, 1175, 10438, 1426, 282, 789, 2461, 851, 1136, 538, 513, 3638, 267, 29316, 9371, 602, 3567, 814, 561, 990, 5944, 10114, 3293, 936, 519, 5756, 269, 6787, 513, 13680, 2951, 518, 610, 513, 2182, 14537, 986, 5443, 27423, 267, 3567, 779, 986, 5443, 6429, 3091, 606, 1995, 602, 568, 1312, 9997, 1606, 15384, 325, 3539, 543, 3965, 6194, 563, 25899, 281, 15656, 543, 10748, 9445, 593, 13334, 454, 6962, 281, 10548, 523, 538, 3567, 454, 1103, 1169, 18843, 540, 562, 22259, 267, 1169, 31652, 532, 26185, 267, 543, 1169, 5402, 5697, 547, 6137, 267, 986, 5443, 20206, 12885, 811, 982, 1175, 519, 11477, 23258, 540, 3567, 282, 621, 27711, 8941, 540, 4525, 267, 5389, 267, 543, 5553, 6040, 2853, 269, 1306, 649, 4076, 3460, 539, 998, 3567, 779, 986, 5443, 5251, 267, 689, 519, 7187, 2865, 10301, 540, 670, 758, 330, 4660, 334, 547, 519, 9341, 804, 1307, 540, 744, 7219, 11867, 267, 649, 4076, 1044, 3051, 344, 547, 811, 982, 6071, 10346, 269, 1284, 4076, 1350, 31663, 539, 883, 519, 1360, 9997, 540, 3567, 267, 1620, 875, 7533, 1426, 568, 547, 922, 2686, 543, 6237, 9163, 563, 763, 2620, 4276, 1063, 5545, 2528, 543, 922, 6237, 986, 5443, 8677, 912, 268, 589, 14506, 540, 3778, 543, 17323, 281, 3962, 6237, 986, 5443, 8390, 6763, 607, 513, 15266, 547, 519, 2189, 12583, 543, 2520, 13132, 540, 922, 1747, 540, 5169, 269, 634, 2295, 344, 3765, 334, 2156, 2195, 540, 590, 1952, 19660, 2995, 8941, 540, 4411, 267, 530, 842, 787, 17334, 267, 1247, 519, 1769, 267, 9269, 2861, 2156, 2195, 540, 19109, 9369, 22090, 704, 540, 519, 2749, 779, 15568, 267, 11440, 2250, 563, 268, 589, 13507, 540, 7991, 543, 8625, 1145, 281, 15332, 922, 1367, 3334, 267, 986, 5443, 4564, 18497, 18226, 267, 513, 3838, 1995, 602, 6770, 1004, 1927, 269, 634, 986, 5443, 6300, 267, 609, 922, 1279, 27669, 543, 9252, 23752, 954, 12542, 267, 568, 513, 1747, 540, 23274, 267, 1141, 2984, 616, 22121, 936, 10398, 532, 3905, 26633, 563, 268, 16743, 543, 28673, 281, 1306, 1454, 607, 986, 5443, 24947, 2245, 267, 621, 568, 849, 513, 17198, 585, 5647, 269, 901, 546, 7081, 9356, 519, 6626, 5545, 31672, 267, 1141, 27527, 585, 519, 2250, 18991, 17706, 1235, 609, 513, 1990, 7002, 585, 519, 2104, 563, 306, 2948, 891, 3309, 10366, 912, 268, 589, 26943, 2435, 23874, 281, 1280, 3988, 945, 2015, 2933, 11477, 7045, 3464, 267, 3567, 779, 3309, 986, 5443, 6429, 3091, 606, 796, 337, 2526, 539, 1995, 269, 3962, 3148, 20217, 596, 547, 23365, 707 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1692, 7043, 6496, 606, 21060, 10326, 14970, 888, 7775, 1052, 4054, 616, 711, 1152, 4190, 23937, 547, 1022, 5251, 267, 855, 789, 849, 1683, 8949, 543, 14312, 4829, 269, 1403, 596, 616, 6236, 9544, 606, 10538, 3529, 267, 596, 949, 4898, 875, 1279, 621, 786, 2661, 543, 3136, 547, 7703, 4829, 269, 769, 713, 2376, 267, 649, 786, 2263, 519, 14438, 540, 606, 10538, 3529, 543, 2626, 930, 1455, 2055, 1644, 547, 922, 15325, 563, 4002, 3328, 267, 606, 10538, 3529, 666, 2661, 585, 827, 476, 2004, 1296, 269, 1717, 267, 609, 1697, 1416, 543, 5826, 267, 930, 10538, 4054, 723, 1044, 1634, 547, 2661, 585, 936, 476, 1911, 1296, 269, 634, 14438, 540, 606, 10538, 3529, 666, 4268, 4470, 593, 1585, 2188, 971, 607, 519, 3099, 540, 519, 3529, 267, 519, 3395, 2175, 267, 543, 519, 1416, 621, 11392, 563, 2080, 616, 519, 4267, 547, 930, 1455, 2055, 1644, 547, 519, 14438, 540, 606, 10538, 3529, 912, 272, 269, 1548, 2188, 666, 1860, 519, 14438, 540, 606, 10538, 3529, 888, 763, 14438, 540, 606, 10538, 3529, 666, 581, 6766, 676, 2188, 971, 607, 3676, 267, 10860, 267, 3665, 4365, 2175, 267, 3037, 2298, 267, 543, 519, 2949, 1072, 540, 519, 3529, 563, 273, 269, 1215, 1279, 1281, 621, 1491, 585, 606, 10538, 3529, 547, 1376, 12946, 4829, 888, 7197, 10538, 4054, 1376, 12946, 4829, 1369, 476, 274, 547, 476, 277, 1296, 1310, 9544, 269, 1717, 267, 621, 949, 4268, 4470, 593, 519, 3099, 543, 519, 3395, 2175, 563, 274, 269, 1684, 10538, 4054, 3136, 547, 3132, 4829, 2429, 741, 14438, 888, 8133, 267, 10538, 4054, 666, 3136, 547, 3132, 4829, 585, 1082, 1296, 269, 1717, 267, 519, 4829, 2504, 949, 6175, 607, 519, 3529, 6502, 563, 275, 269, 2052, 596, 8831, 519, 14438, 540, 606, 10538, 3529, 888, 8133, 267, 596, 666, 8831, 519, 14438, 540, 606, 10538, 3529, 676, 3246, 1697, 1416, 543, 5826, 269, 8617, 14450, 267, 6992, 1944, 267, 18309, 267, 543, 7863, 519, 3529, 689, 3676, 543, 10860, 666, 948, 10804, 922, 1272, 563, 276, 269, 1548, 616, 930, 1455, 3676, 602, 666, 1860, 10538, 4054, 888, 7775, 1052, 4054, 616, 11630, 547, 3676, 971, 607, 20521, 666, 12027, 267, 20521, 3039, 532, 267, 543, 3597, 4232, 269, 898, 568, 1898, 547, 2697, 543, 1521, 891, 3676, 16425, 547, 2061, 873, 689, 7133, 519, 2949, 1072, 543, 14438, 540, 519, 3529, 563, 277, 269, 1215, 1419, 1058, 594, 1216, 1250, 10538, 3529, 888, 7775, 1052, 4054, 3622, 2154, 2834, 14450, 267, 2523, 1282, 3819, 5712, 269, 898, 568, 1271, 547, 1216, 7184, 543, 8499, 267, 3850, 519, 3037, 547, 3819, 856, 5594, 1063, 1216, 902, 563, 278, 269, 1879, 568, 519, 1655, 942, 547, 32566, 606, 10538, 3529, 888, 7468, 12941, 606, 10538, 3529, 568, 1655, 2944, 538, 3735, 5162, 610, 2038, 5614, 1354, 1007, 2208, 5956, 269, 901, 2337, 547, 3895, 2635, 2208, 543, 2226, 519, 5551, 3337, 540, 519, 3529, 563, 279, 269, 1215, 1419, 1058, 594, 6992, 1125, 1250, 10538, 3529, 888, 7775, 1052, 4054, 4324, 689, 2834, 22289, 269, 898, 568, 5227, 547, 6992, 1125, 873, 1169, 476, 273, 547, 476, 274, 3275, 1282, 519, 3395, 4005, 609, 513, 7059, 20521, 13226, 563, 280, 269, 2052, 594, 1332, 606, 10538, 3529, 538, 513, 8708, 888, 8133, 267, 10538, 4054, 666, 581, 6738, 538, 11149, 267, 1818, 873, 5078, 585, 1507, 5624, 610, 21617, 16374, 1141, 789, 666, 581, 6410, 16280, 1282, 5162, 563, 1015, 269, 2052, 15470, 610, 4411, 4365, 3441, 606, 10538, 3529, 888, 8133, 267, 15470, 610, 4411, 4365, 666, 3441, 10538, 4054, 267, 2523, 1762, 4054, 269, 898, 568, 1271, 547, 2149, 873, 1282, 4411, 28542, 676, 8720, 873, 609, 29198, 610, 1210, 15470, 4027, 3800, 563, 1556, 269, 3657, 10538, 4054, 1582, 1790, 3326, 3215, 888, 7197, 10538, 4054, 616, 1582, 1790, 3326, 3215, 267, 2495, 789, 798, 711, 2154, 1776, 3529, 585, 26853, 269, 1717, 267, 3444, 1790, 3326, 1588, 609, 1776, 10538, 3529, 666, 2333, 4829, 2504, 563, 1321, 269, 2052, 594, 1332, 606, 10538, 3529, 689, 513, 6079, 888, 8133, 267, 596, 666, 1332, 606, 10538, 3529, 689, 513, 6079, 269, 1717, 267, 1832, 538, 2247, 602, 519, 4611, 3529, 949, 711, 723, 519, 1482, 4162, 607, 519, 2385, 3529, 543, 949, 1491, 3476, 547, 7703, 4829, 563, 1724, 269, 1548, 616, 930, 2442, 10538, 3529, 8677, 888, 5278, 2442, 10538, 3529, 8677, 1331, 4406, 16780, 807, 267, 10878, 767, 267, 10552, 21060, 267, 543, 2961, 320, 2961, 320, 269, 3962, 3099, 814, 922, 1378, 2189, 4162, 543, 8137, 12632, 563, 1103, 3932, 267, 519, 14438, 540, 606, 10538, 3529, 666, 2039, 689, 476, 2004, 547, 936, 476, 1911, 1296, 267, 4470, 593, 1585, 2188, 269, 1635, 3246, 1697, 1416, 267, 2834, 5826, 267, 543, 4027, 689, 3676, 543, 10860, 267, 596, 666, 948, 8831, 519, 1272, 540, 707, 10538, 3529, 543, 2972, 922, 8949, 5613, 585, 1082, 1296, 547, 2097, 269, 0, 15578, 570, 7838, 298, 23360, 570, 8582, 2207, 454, 307, 1010, 1869, 7555, 10766, 2389, 1077, 7654, 3357, 827, 1310, 519, 26362, 540, 476, 14444, 277, 676, 15349, 4070, 269, 769, 519, 476, 14690, 271, 338, 267, 1293, 674, 7967, 322, 4498, 30638, 1716, 11028, 30062, 519, 10766, 267, 799, 729, 2899, 1031, 585, 17872, 5301, 267, 883, 513, 13486, 602, 3893, 7715, 2740, 609, 513, 2699, 25549, 267, 6824, 20898, 24743, 563, 763, 10766, 267, 799, 1223, 581, 2938, 689, 7192, 541, 267, 729, 513, 6041, 540, 28665, 543, 1379, 543, 729, 1031, 607, 606, 4082, 540, 22693, 269, 769, 519, 2038, 476, 866, 628, 2540, 267, 519, 18949, 539, 2679, 2968, 606, 3693, 540, 519, 1325, 5733, 344, 544, 6416, 543, 998, 713, 267, 851, 540, 519, 2729, 540, 18211, 7095, 3885, 543, 741, 4357, 21384, 563, 763, 13486, 568, 849, 1572, 670, 1380, 541, 2389, 1077, 543, 2221, 621, 8075, 13350, 267, 4207, 1148, 24218, 563, 763, 14266, 2982, 721, 519, 1686, 540, 519, 13486, 267, 855, 849, 519, 8823, 540, 519, 6189, 540, 21859, 3121, 1282, 519, 16368, 13567, 269, 898, 3568, 2645, 689, 519, 8210, 30448, 674, 7967, 322, 7467, 781, 4015, 267, 855, 849, 519, 3688, 1336, 1282, 519, 26995, 540, 519, 16836, 267, 6580, 1394, 547, 519, 2881, 330, 880, 13567, 268, 5028, 540, 519, 4884, 563, 10908, 18968, 3349, 2264, 267, 519, 22739, 12992, 543, 519, 627, 30178, 20077, 689, 5642, 941, 1500, 1934, 538, 519, 476, 1704, 628, 2540, 282, 1317, 1282, 519, 13567, 267, 1507, 8075, 543, 15945, 941, 4092, 538, 519, 8513, 540, 519, 670, 1380, 541, 16836, 267, 7713, 519, 5169, 540, 891, 17820, 2645, 269, 589, 2189, 20614, 540, 519, 8858, 568, 519, 695, 731, 540, 606, 552, 691, 1156, 2264, 267, 799, 729, 8385, 4547, 538, 689, 594, 345, 23364, 267, 11894, 563, 763, 15349, 13486, 568, 513, 2582, 22286, 3233, 267, 29256, 539, 267, 15839, 32472, 2679, 609, 513, 726, 770, 1229, 2627, 269, 898, 729, 8385, 519, 13486, 10766, 540, 519, 1394, 4580, 15699, 1472, 21859, 3121, 16836, 267, 799, 729, 2907, 3710, 835, 543, 513, 3368, 5553, 1991, 547, 519, 631, 6416, 269, 634, 670, 1380, 541, 13486, 568, 1631, 7471, 883, 519, 2679, 540, 31471, 5451, 1910, 631, 6416, 267, 607, 519, 1152, 6967, 1875, 3146, 31437, 522, 1777, 2674, 268, 5028, 2679, 538, 21640, 269, 0, 13981, 827, 595, 6363, 26245, 2101, 4336, 286, 769, 713, 2022, 267, 649, 4076, 2322, 1927, 513, 2347, 3391, 547, 3388, 596, 991, 547, 917, 950, 1565, 827, 519, 4336, 563, 2171, 3580, 581, 3168, 693, 519, 4967, 540, 595, 6363, 26245, 2101, 4336, 267, 1018, 621, 5654, 899, 538, 519, 1726, 1076, 267, 18369, 267, 620, 1729, 267, 543, 4557, 528, 1579, 12028, 267, 519, 5232, 540, 519, 4336, 267, 922, 1883, 15040, 267, 543, 6266, 811, 269, 2913, 779, 1205, 3323, 563, 24687, 538, 595, 6363, 26245, 11683, 17361, 454, 763, 595, 6363, 26245, 2101, 4336, 568, 1500, 909, 540, 5722, 4967, 4358, 593, 595, 6363, 26245, 630, 6518, 568, 1634, 607, 519, 1883, 16694, 1040, 898, 1287, 5205, 519, 2101, 4336, 4542, 540, 2898, 543, 3368, 3268, 563, 17829, 4967, 616, 281, 595, 321, 667, 321, 661, 321, 674, 321, 717, 321, 2806, 645, 321, 454, 2026, 596, 666, 1294, 267, 621, 814, 5722, 6366, 4967, 281, 645, 321, 267, 661, 321, 267, 2806, 267, 667, 321, 267, 717, 321, 267, 595, 321, 543, 674, 321, 454, 290, 6363, 26245, 11683, 538, 519, 7066, 1076, 7581, 325, 454, 2080, 616, 782, 519, 4967, 540, 595, 6363, 26245, 2101, 4336, 538, 519, 1726, 1076, 1579, 325, 267, 26799, 543, 27312, 563, 290, 6363, 26245, 11683, 538, 519, 30464, 7581, 325, 454, 9202, 267, 649, 723, 782, 519, 4967, 540, 595, 6363, 26245, 2101, 4336, 538, 519, 18369, 1579, 325, 267, 26799, 543, 27312, 563, 290, 6363, 26245, 11683, 538, 519, 1325, 1729, 7581, 325, 454, 2080, 616, 782, 519, 4967, 540, 595, 6363, 26245, 2101, 4336, 538, 519, 620, 1729, 1579, 325, 267, 26799, 543, 27312, 563, 290, 6363, 26245, 11683, 538, 519, 14210, 528, 7581, 325, 454, 4517, 2063, 540, 519, 1579, 12028, 267, 1934, 616, 782, 519, 4967, 540, 595, 6363, 26245, 2101, 4336, 538, 519, 4557, 528, 1579, 325, 267, 26799, 543, 27312, 563, 290, 6363, 26245, 11683, 17361, 16754, 454, 12024, 1169, 2101, 4336, 267, 595, 6363, 26245, 2101, 5205, 513, 1978, 4542, 540, 2898, 543, 3368, 3268, 799, 568, 912, 2662, 1961, 1900, 267, 2898, 1900, 267, 3368, 1900, 267, 2898, 1900, 267, 2898, 1900, 267, 2898, 1900, 267, 3368, 1900, 563, 1607, 568, 28484, 547, 654, 654, 670, 654, 654, 654, 670, 563, 8794, 519, 3703, 16166, 540, 18565, 543, 5033, 527, 2158, 267, 713, 1131, 581, 912, 307, 821, 267, 3159, 267, 5033, 32050, 267, 3159, 267, 3159, 267, 3159, 267, 5033, 32050, 454, 7617, 4991, 28484, 547, 570, 570, 590, 570, 570, 570, 590, 563, 290, 6363, 26245, 11683, 17361, 26440, 4181, 543, 14502, 18780, 454, 1103, 2575, 3069, 267, 649, 666, 3277, 547, 1142, 4063, 540, 513, 4336, 676, 2338, 799, 649, 1289, 519, 5232, 540, 513, 4336, 563, 763, 1101, 4063, 568, 519, 476, 272, 560, 4110, 267, 519, 2034, 568, 519, 476, 273, 526, 4110, 267, 519, 3791, 4063, 568, 519, 476, 274, 6113, 4110, 267, 3092, 563, 3719, 267, 1142, 4336, 4110, 814, 1776, 2012, 799, 568, 1572, 519, 2930, 4408, 540, 519, 4336, 563, 2080, 616, 519, 2930, 4408, 543, 4336, 5232, 540, 595, 6363, 26245, 2101, 4336, 563, 268, 476, 272, 560, 1107, 570, 4577, 1107, 595, 321, 454, 268, 476, 273, 526, 1107, 8111, 2023, 545, 1107, 667, 321, 454, 268, 476, 274, 6113, 1107, 2405, 5050, 1107, 661, 321, 454, 268, 476, 275, 628, 1107, 4427, 3256, 5364, 1107, 674, 321, 454, 268, 476, 276, 628, 1107, 667, 11395, 1107, 717, 321, 454, 268, 476, 277, 628, 1107, 4427, 9712, 656, 1107, 2806, 454, 268, 476, 278, 628, 1107, 31327, 3159, 1107, 645, 321, 454, 290, 6363, 26245, 11683, 6206, 6178, 1155, 454, 2414, 1118, 4730, 538, 513, 1978, 1883, 4443, 585, 519, 22459, 547, 1224, 267, 649, 666, 946, 513, 1883, 15040, 563, 1607, 2337, 721, 917, 547, 1404, 1978, 4967, 8325, 610, 6366, 1510, 2348, 547, 1224, 606, 23139, 1142, 942, 563, 290, 6363, 26245, 2101, 814, 5722, 1166, 1846, 538, 922, 1883, 15040, 281, 645, 321, 267, 661, 321, 267, 2806, 267, 667, 321, 267, 717, 321, 267, 595, 321, 543, 674, 321, 563, 2080, 779, 519, 1883, 15040, 585, 595, 6363, 26245, 2101, 538, 519, 1726, 1076, 267, 620, 1729, 267, 4557, 528, 267, 543, 18369, 1579, 12028, 563, 1432, 568, 519, 28731, 19724, 540, 595, 6363, 26245, 11683, 888, 9336, 2101, 1883, 814, 513, 3448, 5634, 1883, 269, 1548, 2306, 873, 1644, 568, 602, 789, 1312, 2671, 519, 1482, 1883, 15040, 563, 763, 3448, 5634, 1883, 540, 595, 6363, 26245, 2101, 568, 589, 6363, 26245, 19724, 563, 2080, 568, 589, 6363, 26245, 2067, 5634, 4336, 267, 799, 3096, 782, 519, 1482, 4967, 607, 595, 6363, 26245, 2101, 855, 6238, 593, 2806, 267, 799, 568, 922, 1883, 16694, 281, 2806, 645, 321, 595, 321, 667, 321, 661, 321, 674, 321, 717, 321, 454, 3719, 875, 798, 649, 917, 602, 589, 6363, 26245, 5634, 568, 519, 3448, 5634, 540, 595, 6363, 26245, 2101, 286, 4270, 267, 547, 960, 856, 519, 3448, 5634 ]

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

[ 11668, 1876, 267, 17535, 4031, 267, 513, 28153, 23312, 3652, 267, 23139, 7063, 6042, 267, 3959, 8227, 268, 1084, 656, 4031, 267, 9668, 543, 16028, 4031, 543, 1875, 13867, 1876, 269, 634, 1871, 540, 3540, 1876, 666, 711, 581, 19765, 13846, 621, 568, 519, 4493, 585, 782, 540, 519, 824, 7939, 538, 1840, 547, 513, 26608, 1288, 585, 13844, 1022, 2489, 2551, 3028, 563, 1103, 519, 2680, 596, 6068, 713, 1344, 543, 596, 7287, 547, 1205, 811, 9623, 7282, 3274, 4945, 519, 909, 4947, 3135, 24963, 2638, 856, 519, 4950, 3135, 563, 290, 2753, 5358, 3009, 19752, 519, 5730, 2694, 540, 4031, 6394, 676, 3081, 1369, 519, 1533, 4110, 543, 799, 6023, 10963, 543, 3540, 2306, 513, 3017, 269, 4634, 1498, 2489, 1857, 6042, 13315, 782, 4031, 13931, 676, 519, 2136, 2276, 2986, 3013, 2229, 267, 519, 2359, 6498, 543, 4567, 9777, 725, 616, 3769, 538, 519, 10324, 8257, 267, 15424, 18747, 543, 4031, 543, 6042, 267, 1256, 1498, 14804, 9086, 6257, 6042, 602, 949, 581, 711, 3656, 4808, 269, 6406, 9479, 616, 7396, 676, 1297, 532, 4098, 609, 476, 272, 267, 1287, 519, 2262, 3540, 543, 25759, 1210, 519, 4082, 11156, 269, 4256, 1533, 22533, 3540, 3652, 616, 5219, 547, 607, 15335, 4031, 267, 950, 5313, 543, 4291, 6042, 616, 1572, 772, 2529, 269, 15335, 4031, 543, 6042, 563, 31359, 4031, 616, 3812, 676, 2769, 15424, 32234, 610, 4567, 16324, 3549, 269, 1358, 8428, 689, 9208, 6465, 2373, 267, 602, 949, 581, 4808, 602, 2936, 2197, 4204, 267, 538, 789, 616, 711, 2123, 10276, 1721, 1424, 267, 855, 1152, 28007, 269, 589, 1920, 2777, 9086, 949, 1134, 1450, 8066, 513, 10703, 4705, 1688, 30516, 2436, 621, 5360, 625, 609, 1808, 7569, 267, 1498, 585, 1383, 267, 513, 1411, 2529, 269, 1876, 949, 7654, 3970, 519, 10009, 540, 1688, 326, 12584, 269, 16296, 9086, 3622, 6615, 519, 946, 540, 1688, 326, 12584, 998, 1880, 2053, 540, 1032, 899, 593, 9872, 3786, 4926, 610, 693, 2921, 5961, 8255, 563, 1103, 519, 1560, 540, 1411, 2529, 269, 3652, 568, 5258, 883, 1079, 8371, 281, 6554, 543, 3557, 269, 634, 2229, 4140, 545, 1155, 1568, 3592, 676, 3054, 267, 5103, 519, 13429, 2356, 4371, 8015, 1034, 1004, 602, 1169, 15424, 15357, 906, 616, 3710, 3842, 519, 772, 2529, 269, 18322, 269, 634, 1411, 2529, 269, 10966, 7040, 3336, 267, 676, 2688, 543, 3527, 267, 666, 723, 519, 3803, 2161, 593, 782, 1876, 2055, 269, 634, 772, 2529, 269, 634, 6574, 2702, 568, 17477, 609, 519, 1411, 2529, 267, 5103, 519, 1249, 602, 14130, 543, 5600, 3835, 24973, 2328, 3656, 4808, 269, 6837, 269, 6837, 2356, 814, 3893, 519, 2547, 1377, 540, 3310, 998, 16324, 25926, 563, 763, 772, 2529, 269, 11156, 14828, 610, 12029, 519, 2229, 519, 5480, 3336, 519, 1648, 547, 5873, 6381, 5473, 968, 15132, 636, 560, 1734, 540, 4641, 1848, 589, 3650, 540, 519, 10470, 267, 713, 8360, 968, 15132, 636, 560, 766, 892, 568, 2489, 543, 1202, 999, 1022, 2013, 540, 15784, 711, 269, 30271, 3335, 3870, 1100, 268, 6247, 6627, 6381, 13296, 519, 6161, 568, 16789, 569, 1759, 593, 519, 23328, 267, 2094, 519, 772, 2529, 269, 11156, 1281, 711, 19231, 519, 12204, 540, 6381, 10470, 949, 7654, 5873, 269, 9182, 267, 1169, 942, 513, 4161, 538, 1063, 1079, 1205, 2389, 690, 564, 1667, 3217, 1747, 267, 519, 772, 2529, 269, 11156, 4249, 519, 2816, 540, 1022, 13591, 5480, 3336, 563, 288, 3099, 540, 968, 338, 15856, 725, 540, 2596, 1249, 892, 4755, 538, 1411, 2529, 269, 6042, 269, 6201, 616, 519, 11268, 540, 3540, 4027, 896, 519, 1876, 267, 1455, 4031, 2924, 267, 543, 1585, 824, 2924, 4143, 547, 5234, 269, 6465, 2373, 15725, 891, 4025, 2356, 723, 840, 25365, 9551, 757, 1282, 519, 1411, 2529, 269, 9139, 610, 7654, 538, 17551, 1526, 4801, 269, 1452, 29071, 7363, 2709, 519, 10470, 3180, 519, 3656, 1318, 547, 1589, 827, 1007, 6811, 950, 519, 9165, 609, 519, 3355, 7682, 814, 1279, 1044, 11097, 2989, 269, 1717, 267, 547, 2866, 922, 3656, 1062, 267, 519, 10470, 991, 547, 14751, 8271, 3313, 519, 9165, 540, 519, 7682, 563, 7197, 540, 2769, 1526, 4801, 1450, 519, 10470, 547, 21907, 29170, 14843, 555, 745, 32404, 269, 1488, 4226, 1674, 3330, 519, 2783, 11156, 2356, 4016, 547, 513, 11006, 6876, 13327, 523, 609, 519, 4567, 5480, 3336, 267, 799, 568, 7363, 1572, 968, 320, 5650, 1141, 513, 2708, 543, 824, 851, 540, 513, 3656, 5480, 1095, 1938, 17364, 513, 23312, 267, 4749, 676, 7487, 543, 6217, 4128, 610, 10438, 5023, 22195, 267, 547, 8207, 22195, 610, 3390, 513, 3375, 1848, 9603, 547, 519, 1411, 2529, 269, 10966, 7040, 779, 1139, 3789, 602, 8078, 2218, 32404, 786, 711, 581, 5812, 1927, 609, 519, 25029, 540, 707, 16324, 1184, 267, 519, 4019, 814, 12628, 3564, 899, 269, 11048, 267, 32404, 568, 15983, 606, 2500, 1259, 547, 960, 856, 2152, 1851, 3252, 945, 1522, 17732, 1702, 610, 9639, 547, 3142, 16048, 5773, 1991, 547, 519, 10470, 563, 763, 8549, 10470, 3622, 723, 811, 7839, 1876, 4145, 982, 4163, 856, 519, 2783, 10470, 269, 769, 971, 2665, 267, 972, 568, 2356, 513, 4161, 1851, 1896, 7606, 945, 1131, 899, 547, 11654, 513, 7928, 4031, 3409, 269, 1677, 581, 2111, 547, 2936, 811, 1455, 6042, 883, 513, 15539, 4448, 609, 1896, 19771, 945, 786, 581, 711, 28955, 676, 513, 15818, 267, 519, 5313, 519, 5480, 3336, 1223, 8263, 6392, 1657, 519, 2339, 267, 855, 814, 811, 11393, 593, 922, 12588, 547, 1118, 513, 3375, 2042, 540, 3044, 5855, 563, 2691, 596, 11537, 713, 2022, 538, 1840, 547, 596, 1616, 547, 3489, 5583, 7282, 10856, 4945, 519, 1739, 2022, 1252, 3585, 2628, 513, 3643, 547, 938, 1378, 4950, 3135, 563, 19675, 596, 581, 25981, 827, 713, 1543, 538, 713, 2110, 2376, 267, 1934, 616, 930, 811, 3817, 609, 513, 2147, 1570, 912, 9617, 4945, 519, 1739, 4950, 2985, 454, 13678, 2952, 4945, 519, 1985, 4950, 2985, 0, 28657, 779, 30110, 326, 1054, 320, 267, 513, 476, 4489, 279, 17001, 676, 14731, 14216, 20852, 8381, 267, 6054, 519, 1379, 540, 29053, 18259, 269, 4706, 1650, 6054, 1018, 649, 1616, 547, 3314, 1107, 543, 7340, 1107, 950, 519, 2112, 568, 936, 563, 763, 19730, 17001, 568, 1631, 593, 4159, 693, 519, 8225, 2782, 7467, 538, 31747, 630, 4820, 540, 519, 2142, 11232, 15842, 758, 14635, 540, 2782, 3203, 264, 609, 713, 6609, 912, 7628, 519, 5822, 11135, 540, 962, 26078, 267, 15555, 2293, 6933, 730, 602, 513, 8225, 17199, 1185, 1044, 16961, 1881, 593, 513, 32068, 28561, 7450, 267, 513, 1650, 519, 16586, 3954, 6407, 607, 18259, 269, 6787, 5168, 610, 5708, 267, 4516, 779, 30110, 326, 1054, 320, 14550, 519, 8515, 540, 29053, 14868, 543, 11052, 269, 634, 16961, 32267, 542, 3788, 796, 2889, 1597, 563, 28398, 338, 540, 519, 16961, 32267, 542, 6933, 730, 2429, 519, 2112, 267, 4862, 689, 2576, 2914, 14833, 10275, 2908, 1606, 727, 821, 2914, 14833, 3620, 611, 2914, 5893, 539, 32717, 269, 1715, 4944, 3639, 4080, 519, 25711, 540, 513, 8225, 11464, 630, 528, 513, 1583, 613, 656, 1040, 19672, 9867, 827, 519, 1106, 540, 2669, 543, 3961, 540, 519, 6408, 267, 855, 519, 3239, 729, 3730, 547, 3895, 19684, 543, 547, 6133, 2112, 7554, 563, 24841, 779, 17001, 729, 851, 540, 519, 476, 4489, 280, 8225, 2782, 17341, 338, 14266, 267, 1101, 538, 5507, 267, 1287, 21409, 547, 519, 2475, 543, 4516, 269, 634, 4436, 2229, 1843, 539, 547, 519, 17001, 267, 6998, 585, 6169, 540, 519, 10071, 610, 606, 11760, 618, 602, 621, 729, 7301, 269, 898, 729, 32585, 689, 519, 14266, 269, 630, 1103, 519, 1715, 3840, 8858, 267, 621, 729, 3254, 538, 513, 5094, 4055, 1317, 540, 519, 9240, 5052, 4302, 1641, 4700, 3973, 621, 729, 19526, 2476, 2394, 519, 476, 1960, 271, 338, 267, 676, 2229, 1931, 267, 547, 2057, 2229, 19849, 14536, 563, 300, 7559, 570, 2089, 9116, 3091, 1776, 7664, 281, 968, 1492, 17001, 729, 513, 1907, 540, 2112, 267, 543, 519, 2112, 729, 1631, 936, 269, 634, 1857, 4941, 2560, 18810, 602, 22993, 606, 2856, 602, 1223, 2992, 1022, 2495, 519, 21951, 24714, 547, 2285, 621, 1107, 15093, 267, 3653, 267, 28194, 267, 11348, 543, 1256, 25863, 1107, 2864, 982, 513, 10853, 24575, 540, 606, 2680, 1848, 630, 306, 1529, 20567, 538, 4516, 281, 589, 3778, 267, 669, 476, 275, 264, 0, 1692, 547, 2422, 25037, 543, 2552, 2784, 11881, 538, 2659, 5675, 454, 1692, 547, 2422, 25037, 543, 2552, 2784, 11881, 538, 2659, 5675, 454, 3080, 540, 519, 1655, 2081, 547, 1174, 875, 547, 2328, 513, 1433, 610, 1557, 568, 547, 1413, 585, 1806, 540, 4334, 543, 32475, 269, 25037, 338, 2049, 950, 513, 1915, 1281, 1945, 6587, 540, 1018, 789, 723, 1044, 3257, 610, 6031, 269, 1452, 24716, 666, 948, 596, 3589, 1018, 786, 4755, 1985, 543, 18505, 4729, 610, 4655, 269, 1677, 2253, 267, 1053, 666, 4585, 519, 19347, 2110, 4670, 11553, 12239, 302, 543, 4431, 547, 519, 2055, 602, 616, 10268, 538, 519, 3381, 269, 1358, 1058, 581, 2386, 547, 2491, 1018, 789, 1589, 519, 1257, 1797, 543, 875, 621, 5932, 4334, 563, 288, 1434, 1259, 547, 1451, 519, 3017, 1063, 4334, 543, 27171, 568, 547, 5635, 1079, 2093, 269, 25037, 338, 616, 3006, 1031, 538, 6965, 543, 12416, 267, 855, 789, 616, 2356, 711, 2808, 547, 581, 5339, 3457, 269, 1358, 616, 513, 1390, 1259, 547, 1118, 707, 1603, 811, 4277, 543, 12300, 269, 25037, 338, 666, 849, 581, 1031, 547, 4766, 3584, 971, 607, 4187, 267, 4334, 267, 610, 3017, 269, 901, 2306, 873, 606, 5140, 1907, 585, 5830, 543, 3988, 7567, 269, 1403, 596, 2461, 2348, 8373, 14045, 799, 2165, 547, 946, 538, 707, 1603, 267, 1934, 616, 513, 1906, 2093, 547, 2015, 912, 11328, 5562, 8249, 1411, 2052, 25849, 538, 2659, 7913, 15858, 3245, 570, 335, 307, 454, 307, 335, 307, 568, 513, 3760, 1141, 3610, 543, 824, 7855, 666, 1711, 3872, 1543, 585, 741, 1053, 269, 674, 10133, 6754, 3798, 601, 2006, 4718, 513, 5458, 1761, 538, 519, 960, 540, 3610, 267, 543, 7691, 602, 1053, 1131, 798, 1732, 950, 824, 7855, 22283, 538, 547, 1711, 3872, 1543, 269, 570, 335, 307, 814, 6738, 547, 581, 513, 7372, 5234, 4055, 609, 513, 3099, 540, 3872, 2200, 269, 3245, 3992, 4566, 547, 2238, 267, 596, 666, 1265, 1175, 827, 4376, 596, 2461, 3168, 585, 563, 292, 553, 601, 568, 513, 3059, 1907, 689, 570, 335, 307, 602, 2306, 2870, 543, 26471, 4928, 268, 2819, 2200, 2241, 543, 2656, 269, 898, 814, 14468, 1382, 543, 7028, 15285, 543, 2208, 8186, 1115, 269, 1411, 666, 4019, 31418, 601, 547, 707, 1378, 570, 335, 307, 4558, 547, 1711, 2502, 543, 7317, 2238, 585, 707, 1053, 269, 4495, 596, 4076, 1336, 513, 4199, 596, 899, 267, 596, 666, 3651, 621, 547, 707, 1053, 547, 948, 873, 1451, 563, 27645, 666, 1711, 3059, 2238, 609, 2645, 899, 5616, 15858, 543, 31418, 601, 269, 2991, 2870, 606, 2534, 267, 1053, 666, 1569, 621, 676, 25718, 519, 15745, 547, 741, 1378, 717, 21166, 6589, 610, 676, 4757, 532, 621, 547, 873, 269, 4841, 666, 2347, 519, 2534, 1210, 519, 1482, 14391, 566, 2645, 267, 1498, 789, 666, 1406, 1039, 2626, 10833, 610, 1118, 11979, 5546, 1940, 762, 269, 4841, 666, 1287, 10505, 741, 6192, 2238, 547, 596, 585, 2689, 563, 291, 8780, 23814, 19845, 27073, 5058, 25037, 543, 2552, 2784, 11881, 7913, 7689, 454, 2690, 3610, 543, 6267, 945, 991, 606, 4244, 1505, 540, 1565, 267, 513, 667, 8780, 23814, 19845, 27073, 5058, 25037, 1299, 2552, 2784, 11881, 7913, 7689, 949, 581, 1175, 1018, 596, 991, 269, 1452, 4245, 723, 1044, 2966, 676, 1079, 7855, 945, 723, 5318, 1995, 538, 519, 2361, 540, 3872, 2029, 267, 8935, 326, 17384, 543, 27211, 6154, 344, 269, 5637, 2021, 723, 6026, 538, 1857, 3506, 543, 723, 2919, 1153, 4204, 1949, 547, 2087, 3450, 543, 1565, 563, 6944, 2858, 543, 2552, 2784, 2109, 454, 2791, 4076, 4440, 2938, 519, 4082, 267, 968, 14188, 596, 8575, 685, 600, 2223, 855, 723, 596, 2479, 8068, 602, 538, 4334, 547, 602, 3948, 267, 513, 1915, 1281, 519, 6587, 540, 1018, 835, 1522, 2503, 269, 1280, 1383, 267, 513, 812, 945, 779, 1044, 3775, 5523, 676, 513, 544, 10212, 518, 568, 12691, 547, 11547, 602, 1268, 779, 3068, 269, 2552, 9009, 547, 519, 20772, 267, 713, 1915, 1705, 269, 2334, 779, 513, 1434, 4334, 269, 898, 2306, 519, 5467, 1589, 7466, 1354 ]

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

[ 917, 519, 1297, 540, 3688, 538, 519, 1305, 267, 713, 3884, 1406, 513, 1966, 269, 3807, 4194, 585, 519, 7508, 1344, 1210, 519, 1739, 4542, 1384, 2971, 2405, 1014, 692, 763, 11667, 540, 513, 1305, 540, 562, 2338, 568, 1175, 519, 1647, 1297, 538, 519, 1305, 269, 1403, 972, 568, 606, 1256, 1297, 540, 3688, 538, 519, 1305, 267, 1287, 519, 11667, 568, 519, 3328, 540, 1346, 1079, 2338, 269, 1280, 1383, 267, 1577, 779, 1491, 513, 1413, 693, 1079, 5036, 540, 2338, 1384, 13729, 476, 272, 281, 2715, 273, 267, 274, 267, 278, 267, 279, 267, 1321, 8679, 13729, 476, 273, 281, 2715, 268, 272, 16427, 272, 270, 273, 267, 271, 267, 271, 267, 1428, 267, 2641, 267, 2420, 267, 1220, 10926, 1103, 5590, 476, 272, 267, 519, 11667, 568, 2653, 547, 1265, 269, 634, 1647, 1297, 1934, 568, 476, 278, 269, 5457, 267, 547, 1265, 519, 11667, 267, 519, 2338, 538, 513, 1305, 1590, 581, 538, 1931, 689, 10545, 547, 4102, 780, 1103, 5590, 476, 273, 267, 596, 616, 2016, 606, 1256, 1297, 540, 3688, 269, 4935, 267, 547, 1265, 519, 11667, 267, 596, 1590, 1265, 519, 3328, 540, 519, 1079, 1647, 2338, 281, 476, 271, 543, 476, 1428, 269, 4935, 267, 519, 11667, 1131, 581, 476, 278, 269, 276, 780, 2971, 25042, 692, 763, 7154, 540, 513, 1305, 540, 562, 2338, 568, 1175, 519, 6221, 538, 519, 1305, 602, 5526, 1034, 4749, 269, 1403, 649, 946, 519, 1482, 1806, 689, 938, 4901, 540, 1199, 2103, 267, 1657, 267, 649, 2161, 602, 5590, 476, 272, 814, 1100, 7154, 267, 2495, 1100, 6221, 538, 5590, 476, 272, 5526, 811, 4749, 982, 1022, 824, 269, 769, 5590, 476, 273, 267, 519, 7154, 1131, 581, 476, 271, 2094, 621, 5526, 7466, 267, 1247, 1169, 824, 6221, 5526, 2899, 780, 2971, 6201, 692, 272, 269, 634, 2953, 2626, 568, 667, 269, 6969, 649, 1256, 1205, 547, 3257, 519, 2979, 1934, 267, 1577, 779, 1491, 513, 1413, 693, 938, 2626, 5079, 269, 9406, 2476, 267, 596, 1058, 581, 2111, 547, 9004, 1614, 540, 519, 2947, 5079, 269, 634, 2953, 2626, 1590, 581, 1063, 476, 4037, 630, 1492, 8695, 685, 3328, 264, 543, 476, 10695, 630, 1492, 6690, 685, 3328, 1040, 14893, 589, 666, 1406, 7654, 581, 1318, 2094, 621, 779, 2539, 982, 519, 8695, 685, 3328, 269, 14893, 661, 568, 2362, 982, 519, 6690, 685, 3328, 267, 865, 602, 779, 856, 585, 519, 1482, 2601, 269, 14893, 645, 568, 519, 8695, 685, 3328, 267, 865, 602, 666, 1406, 581, 2953, 269, 4935, 267, 1256, 952, 596, 666, 1406, 4137, 856, 519, 3169, 2979, 1934, 267, 610, 596, 616, 4881, 856, 540, 942, 267, 596, 1223, 1205, 621, 1524, 547, 1079, 2009, 5079, 269, 1403, 14045, 1063, 595, 543, 667, 267, 3903, 667, 568, 519, 1732, 3903, 2094, 621, 779, 6251, 547, 519, 8004, 779, 3328, 543, 972, 616, 811, 6690, 982, 8695, 538, 519, 1362, 269, 4935, 267, 519, 1362, 3328, 786, 581, 22051, 538, 3870, 540, 519, 6690, 685, 3328, 269, 11569, 3903, 595, 568, 3274, 513, 2786, 3328, 540, 519, 8695, 685, 3328, 6060, 543, 519, 6690, 685, 3328, 6060, 12544, 16297, 518, 3903, 952, 972, 2479, 729, 835, 256, 1677, 4194, 519, 1966, 267, 649, 991, 547, 1265, 513, 22051, 3328, 269, 769, 713, 2013, 267, 972, 616, 476, 1724, 8695, 543, 476, 1626, 6690, 267, 865, 649, 917, 972, 616, 476, 3066, 2698, 1053, 538, 519, 1362, 269, 1284, 1810, 1406, 991, 547, 917, 1142, 2875, 779, 1367, 6060, 267, 1175, 519, 2698, 540, 782, 519, 8464, 585, 8695, 543, 6690, 269, 1284, 1265, 713, 676, 14921, 519, 1948, 540, 8695, 2053, 519, 8695, 685, 3328, 6060, 543, 14921, 519, 1948, 540, 6690, 2053, 519, 6690, 685, 3328, 6060, 543, 1287, 267, 4946, 873, 1927, 269, 19147, 713, 2040, 676, 519, 1948, 540, 2698, 1053, 585, 519, 1362, 3328, 780, 273, 269, 634, 2953, 2626, 568, 674, 269, 9406, 2476, 596, 666, 9004, 3903, 918, 269, 589, 5506, 540, 476, 272, 1797, 602, 519, 2680, 568, 16798, 547, 2049, 269, 11822, 7954, 6645, 721, 713, 666, 1406, 581, 3020, 269, 1411, 1223, 5066, 519, 18062, 543, 1205, 513, 6292, 540, 3283, 610, 513, 6292, 540, 535, 1161, 610, 1082, 824, 10659, 602, 4465, 1406, 1039, 909, 547, 476, 275, 269, 1411, 616, 1869, 2451, 609, 2185, 2009, 2626, 5079, 267, 855, 2185, 568, 1732, 982, 2947, 269, 11569, 267, 952, 596, 941, 12758, 267, 596, 1223, 1869, 4440, 9004, 835, 811, 3903, 630, 577, 4069, 808, 264, 607, 1932, 1164, 267, 543, 7058, 689, 519, 6967, 1614, 7399, 269, 1677, 4194, 519, 1966, 2705, 267, 596, 991, 547, 1101, 4137, 856, 875, 1082, 2009, 10659, 972, 616, 540, 20061, 540, 519, 18062, 269, 901, 786, 581, 519, 14009, 540, 707, 6824, 269, 4595, 972, 616, 476, 277, 2009, 20061, 540, 1142, 18062, 267, 519, 2698, 2009, 4093, 568, 3274, 476, 277, 2053, 476, 277, 267, 610, 476, 3607, 269, 8921, 267, 649, 991, 547, 4137, 856, 1018, 4093, 2285, 721, 519, 5551, 1267, 630, 320, 2040, 540, 2185, 17107, 258, 272, 1948, 273, 5681, 454, 272, 476, 274, 476, 275, 454, 274, 476, 272, 476, 275, 454, 273, 476, 273, 476, 275, 692, 763, 3349, 1657, 2982, 721, 782, 2009, 8424, 540, 20061, 602, 786, 2285, 721, 513, 2040, 540, 2185, 269, 1703, 616, 476, 274, 540, 873, 267, 865, 602, 568, 938, 19362, 269, 21079, 713, 6824, 543, 649, 1205, 938, 2626, 267, 3903, 674, 780, 14188, 596, 585, 9683, 3733, 31955, 302, 6877, 3820, 692, 7069, 5441, 18169, 10378, 568, 606, 2228, 2852, 4058, 1982, 602, 13462, 6634, 540, 1164, 1153, 1053, 609, 12621, 543, 9945, 780, 8923, 4757, 721, 693, 9623, 287, 3240, 3712, 5076, 9953, 687, 3820, 547, 1265, 856, 952, 707, 9872, 568, 3257, 3388, 621, 666, 547, 3914, 11727, 267, 17053, 1053, 269, 1284, 1413, 4464, 547, 6217, 689, 596, 269, 0, 258, 2776, 20412, 639, 6201, 692, 3721, 476, 272, 454, 2414, 5173, 519, 14230, 267, 1101, 7941, 519, 21335, 563, 13729, 909, 519, 21335, 547, 581, 5258, 269, 1403, 972, 568, 711, 513, 2165, 585, 1169, 20800, 267, 7696, 835, 609, 513, 1871, 540, 4586, 1341, 910, 20620, 19667, 728, 519, 5207, 1931, 2165, 538, 519, 26318, 676, 519, 5207, 1931, 2165, 538, 27708, 4586, 1341, 910, 20620, 11372, 17586, 519, 1007, 23479, 2165, 676, 519, 27708, 563, 1341, 910, 910, 1341, 30492, 763, 4082, 2115, 547, 581, 10208, 539, 689, 519, 26318, 267, 865, 1689, 782, 519, 4191, 538, 454, 1341, 910, 910, 910, 20620, 5475, 4657, 519, 4191, 267, 1039, 519, 2063, 26318, 689, 519, 16611, 9971, 547, 1265, 519, 1007, 26318, 563, 1341, 910, 910, 910, 910, 20620, 303, 1638, 519, 1985, 2474, 689, 519, 3312, 26318, 1524, 883, 519, 1699, 26318, 563, 1341, 910, 910, 910, 910, 910, 20620, 19667, 728, 519, 5207, 1931, 2165, 538, 519, 26318, 676, 519, 5207, 1931, 2165, 538, 27708, 4586, 910, 1341, 910, 910, 910, 910, 910, 20620, 11372, 17586, 519, 1007, 23479, 2165, 676, 519, 27708, 563, 910, 1341, 910, 910, 910, 910, 910, 910, 910, 20620, 763, 4082, 2115, 547, 581, 10208, 539, 689, 519, 26318, 267, 865, 1689, 782, 519, 4191, 538, 454, 910, 1341, 910, 910, 910, 910, 910, 910, 1341, 30492, 5475, 4657, 519, 4191, 267, 1039, 519, 2063, 26318, 689, 519, 16611, 9971, 547, 1265, 519, 1007, 26318, 563, 910, 1341, 910, 910, 910, 910, 910, 910, 1341, 1341, 30492, 763, 3803, 2626, 568, 519, 23479, 7132, 519, 14230, 936, 519, 27708, 563, 3721, 476, 273, 454, 7712, 519, 2063, 2165, 538, 519, 4611, 4082, 568, 513, 6824, 267, 519, 19362, 540, 519, 6824, 568, 519, 14230, 269, 0, 18199, 26214, 297, 16787, 288, 14044, 8212, 12524, 5319, 2809, 519, 1187, 540, 6323, 609, 13502, 256, 7982, 1575, 3135, 5291, 2517, 523, 2809, 269, 19148, 269, 660, 20692, 12975, 6745, 342, 270, 660, 20692, 329, 6072, 13045, 20103, 476, 1626, 267, 476, 1001, 280, 267, 476, 5400, 281, 4905, 281, 4097, 993, 692, 3682, 28698, 568, 7543, 1510, 1689, 282, 543, 1346, 945, 3112, 1689, 741, 8186, 3112, 1689, 4376, 269, 10371, 1701, 24730, 24527, 26396, 263, 5908, 276, 268, 4198, 271, 267, 9721, 5559, 520, 626, 267, 1557, 626, 543, 10404, 267, 17587, 15356, 585, 9085, 476, 4572, 276, 264, 5016, 9664, 281, 1496, 272, 316, 5231, 1109, 7883, 13560, 454, 8191, 13445, 281, 8562, 983, 5163, 281, 10231, 2141, 13902, 547, 6991, 476, 1109, 263, 5649, 476, 30589, 273, 2053, 264, 476, 271, 16840, 543, 476, 272, 2871, 652, 616, 13156, 713, 1888, 269, 8437, 547, 547, 24327, 2278, 1344, 263, 10339, 663, 5048, 1858, 1916, 1695, 4364, 19977, 325, 773, 454, 9556, 518, 1807, 454, 295, 3266, 16588, 692, 19423, 1467, 692, 15803, 281, 476, 4817, 275, 692, 16938, 2506, 5523, 713, 5048, 593, 281, 4873, 476, 5400, 267, 476, 1001, 271, 267, 476, 6187, 281, 6246, 281, 2004, 10681, 9732, 11540, 689, 281, 6347, 302, 13698, 8085, 302, 267, 6347, 302, 13698, 8085, 302, 32390, 6938, 313, 6579, 692, 1607, 1739, 813, 2280, 568, 8562, 983, 5163, 281, 10231, 2141, 13902, 547, 6991, 454, 32046, 676, 1527, 670, 342, 836, 3525, 1881, 676, 30277, 454, 24314, 605, 329, 551, 8562, 983, 5163, 281, 10231, 2141, 13902, 547, 6991, 692, 10907, 5120, 566, 568, 519, 2557, 540, 519, 6991, 1689, 267, 1775, 4318, 269, 4399, 11355, 21151, 4153, 25406, 21702, 18097, 315, 11355, 28452, 12453, 19049, 4151, 563, 10303, 6991, 568, 513, 6152, 267, 972, 616, 1082, 2081, 547, 1689, 6991, 912, 272, 269, 1689, 519, 9588, 540, 519, 6991, 630, 4219, 3432, 264, 1510, 1689, 621, 781, 4287, 563, 273, 269, 1689, 4287, 540, 519, 6991, 1510, 1689, 621, 781, 9588, 281, 713, 568, 519, 9764, 5163, 563, 274, 269, 1689, 1312, 9588, 543, 1463, 5406, 540, 519, 6991, 780, 2252, 519, 10231, 568, 538, 519, 4287, 540, 6991, 267, 519, 10231, 786, 1689, 519, 9588, 519, 540, 6991, 263, 4219, 3432, 1916, 4913, 267, 952, 519, 10231, 568, 2141, 13902, 547, 519, 6991, 267, 519, 6991, 786, 1689, 4287, 1510, 1689, 621, 781, 9588, 269, 901, 568, 519, 9764, 5163, 563, 3383, 267, 585, 9764, 5163, 267, 519, 3196, 263, 659, 5120, 566, 264, 2141, 13902, 547, 621, 781, 6991, 780, 2791, 666, 8749, 519, 6991, 547, 1689, 922, 4287, 543, 9588, 267, 519, 9588, 540, 519, 3196, 568, 4957, 676, 1793, 3187, 3046, 780, 21615, 539, 513, 4881, 5299, 540, 713, 11191, 692, 21615, 539, 513, 4881, 5299, 3095, 263, 19651, 11191, 538, 513, 1402, 1575, 539, 6885, 994, 17359, 5496, 813, 2280, 610, 9046, 13156, 28162, 286, 11754, 5291, 2517, 4178, 269, 19148, 269, 660, 20692, 12975, 6745, 342, 270, 547, 9868, 3135, 1592, 0, 22296, 2248, 539, 4654, 585, 596, 1384, 25567, 553, 692, 292, 2202, 692, 19370, 476, 8287, 692, 3682, 557, 4399, 7562, 1422, 3847, 263, 3393, 17353, 15132, 23180, 9507, 12757, 4153, 2431, 264, 10954, 7562, 1422, 3847, 263, 3393, 17353, 15132, 32757, 9507, 12757, 4153, 2431, 21174, 6912, 346, 273, 348, 1422, 6523, 1422, 9507, 12757, 10592, 2750, 13630, 20240, 454, 8794, 519, 2040, 3562, 1790, 6055, 4542, 585, 20534, 267, 649, 666, 4228, 543, 14458, 519, 2016, 4082, 607, 5205, 281, 476, 272, 269, 15233, 519, 2040, 3562, 1790, 6055, 4542, 281, 6695, 7562, 1422, 3847, 263, 3393, 17353, 15132, 23180, 9507, 12757, 4153, 2431, 264, 1341, 1422, 7562, 1422, 3847, 263, 3393, 17353, 15132, 32757, 9507, 12757, 4153, 2431, 264, 815, 22570, 7562, 263, 3393, 17353, 15132, 348, 9385, 6523, 7268, 9507, 1535, 264, 1341, 1422, 6523, 263, 3393, 17353, 15132, 348, 9385, 7562, 7268, 9507, 1535, 4297, 1341, 22570, 7562, 263, 3393, 17353, 15132, 348, 9385, 6523, 7268, 9507, 1535, 264, 910, 1422, 6523, 263, 3393, 17353, 15132, 348, 9385, 7562, 7268, 9507, 1535, 4297, 2330, 476, 273, 269, 28799, 899, 2474, 281, 3230, 273, 315, 7562, 263, 3393, 17353, 15132, 348, 9385, 6523, 7268, 9507, 1535, 14638, 476, 274, 269, 15240, 3482, 519, 1871, 540, 3230, 7562, 263, 3393, 23373, 15132, 264, 815, 1422, 2765, 346, 272, 7346, 6912, 346, 273, 24995, 281, 6695, 6912, 346, 273, 4153, 6523, 7268, 9507, 12757, 348, 14638, 9747, 267, 649, 4312, 9863, 519, 3961, 6695, 7562, 1422, 3847, 263, 3393, 17353, 15132, 23180, 9507, 12757, 4153, 2431, 264, 10954, 7562, 1422, 3847, 263, 3393, 17353, 15132, 32757, 9507, 12757, 4153 ]

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

[ 563, 26502, 14118, 9760, 2871, 10560, 12071, 1890, 912, 3080, 540, 519, 1034, 2629, 2188, 538, 8236, 21711, 568, 519, 11007, 540, 707, 2259, 269, 8617, 267, 5059, 267, 543, 20982, 2259, 7886, 786, 17108, 707, 3356, 563, 2005, 779, 711, 1175, 827, 875, 1454, 596, 2259, 855, 875, 3927, 596, 2259, 269, 11554, 593, 4480, 267, 1565, 2575, 3069, 267, 543, 4101, 3054, 609, 3309, 11964, 543, 6163, 666, 11880, 924, 707, 21711, 563, 7883, 1023, 543, 1306, 2869, 725, 912, 7312, 3853, 607, 513, 13176, 626, 1404, 513, 1713, 1909, 269, 25126, 945, 6663, 547, 1404, 2241, 8964, 585, 2123, 18399, 949, 3035, 21711, 5488, 982, 2576, 13197, 513, 4876, 607, 513, 3318, 22459, 563, 16966, 547, 2298, 1565, 2200, 267, 971, 607, 4245, 267, 18862, 267, 14292, 2835, 267, 543, 4810, 3610, 267, 666, 1683, 5583, 543, 4030, 602, 17108, 707, 1565, 7455, 563, 5278, 2043, 949, 723, 513, 2067, 19038, 3363, 585, 2575, 543, 4584, 909, 519, 13176, 811, 3533, 269, 1717, 267, 1256, 1346, 1510, 17916, 7574, 13007, 666, 1831, 31402, 13176, 1235, 609, 11428, 543, 2259, 563, 2252, 596, 723, 1991, 1995, 609, 2575, 267, 971, 607, 2542, 6656, 2575, 610, 1620, 2575, 3069, 267, 596, 949, 723, 513, 2212, 1376, 538, 30230, 4771, 13176, 2035, 543, 2553, 563, 1805, 1137, 540, 2871, 10560, 12071, 1890, 912, 288, 2151, 1324, 21711, 538, 13176, 4730, 3335, 3322, 1896, 5933, 912, 272, 269, 9978, 12071, 1890, 630, 277, 3275, 1107, 476, 272, 1032, 2187, 4263, 713, 3942, 267, 596, 666, 18390, 1404, 513, 3099, 540, 22334, 267, 1193, 636, 3270, 267, 543, 2241, 8964, 269, 1411, 723, 513, 2596, 1620, 540, 2575, 3069, 543, 666, 13173, 3054, 610, 1866, 538, 13680, 5468, 563, 273, 269, 29329, 12071, 1890, 630, 272, 1107, 476, 274, 1296, 2187, 1103, 23059, 21711, 14122, 513, 4514, 1702, 540, 22334, 267, 10253, 267, 543, 2575, 3069, 269, 1411, 666, 1404, 811, 1950, 8964, 267, 1685, 1151, 657, 267, 543, 1376, 27906, 2358, 269, 2659, 4480, 3587, 811, 15568, 563, 274, 269, 11628, 12071, 1890, 630, 274, 1107, 476, 276, 1296, 2187, 1103, 519, 4359, 3942, 267, 596, 666, 10994, 4101, 4773, 267, 17492, 707, 2575, 267, 543, 5490, 883, 4359, 2553, 899, 9416, 5882, 267, 19755, 267, 543, 26378, 269, 1411, 723, 513, 2178, 9787, 540, 2575, 3069, 563, 275, 269, 9457, 344, 630, 276, 266, 1296, 2187, 22913, 344, 4564, 519, 5207, 1377, 540, 21711, 267, 1141, 596, 723, 4378, 539, 707, 2189, 7574, 2511, 267, 666, 1404, 4075, 340, 657, 545, 4773, 267, 543, 949, 1256, 11654, 513, 4876, 607, 513, 3318, 22459, 269, 9457, 344, 568, 606, 5571, 3460, 563, 763, 15415, 547, 3035, 13176, 21711, 568, 711, 1305, 538, 6149, 543, 666, 4268, 3648, 1759, 593, 1367, 2188, 269, 1548, 779, 1034, 1271, 568, 9301, 602, 519, 3460, 540, 4742, 513, 31402, 13176, 626, 568, 513, 6024, 1184, 540, 2208, 267, 1565, 267, 543, 1582, 22325, 563, 763, 1883, 547, 8236, 21711, 568, 513, 4999, 540, 11428, 267, 5812, 2259, 267, 2298, 1565, 2200, 267, 543, 4259, 10853, 3853, 269, 6787, 596, 3914, 21711, 538, 513, 1906, 1296, 610, 1491, 3476, 547, 798, 865, 267, 519, 6612, 585, 1818, 2575, 543, 519, 7772, 540, 4730, 519, 13176, 786, 1118, 1169, 1900, 540, 519, 3460, 513, 14785, 1995, 269, 22737, 519, 1184, 267, 2972, 519, 2575, 267, 543, 1577, 707, 13176, 4730, 21711, 1020, 693, 922, 1378, 10605, 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 ]

[ 17776, 540, 519, 808, 2664, 454, 268, 700, 9680, 302, 10060, 12668, 281, 667, 5514, 24079, 9210, 529, 3941, 594, 268, 7656, 630, 7343, 8986, 607, 10414, 6891, 543, 538, 8755, 10587, 994, 268, 10060, 12668, 281, 30982, 540, 32445, 454, 306, 1545, 314, 539, 527, 1923, 12575, 2707, 2639, 268, 834, 17442, 4875, 22087, 257, 1765, 30252, 12668, 6184, 3187, 476, 5611, 454, 268, 10060, 12668, 281, 634, 10414, 21220, 752, 839, 281, 634, 10439, 9218, 454, 268, 10060, 12668, 281, 13235, 268, 274, 17269, 454, 268, 10060, 12668, 281, 13159, 16511, 725, 454, 268, 10060, 12668, 281, 681, 4084, 2290, 281, 634, 31597, 10439, 6651, 454, 268, 10060, 12668, 281, 20121, 4176, 1107, 21220, 2586, 902, 630, 25205, 281, 3738, 630, 303, 27348, 1152, 994, 268, 10060, 12668, 4477, 5471, 14635, 476, 272, 630, 11947, 7547, 540, 519, 590, 15676, 281, 667, 3241, 538, 13192, 4975, 994, 268, 10060, 12668, 4477, 5471, 14635, 476, 2641, 630, 13900, 332, 1115, 281, 918, 2643, 334, 11412, 994, 268, 10060, 12668, 281, 12706, 2659, 13574, 681, 273, 5937, 273, 476, 276, 630, 291, 5514, 30615, 281, 476, 273, 268, 272, 289, 1606, 7685, 6481, 667, 28281, 267, 3487, 476, 272, 264, 630, 303, 27348, 1152, 994, 268, 10060, 12668, 281, 12706, 2659, 13574, 681, 273, 5937, 273, 476, 278, 630, 291, 5514, 30615, 281, 700, 6865, 1606, 7685, 16257, 667, 28281, 264, 630, 303, 27348, 1152, 994, 268, 10060, 12668, 281, 12706, 2659, 13574, 681, 273, 5937, 273, 476, 279, 630, 19465, 519, 30982, 281, 634, 1284, 777, 517, 540, 513, 808, 2664, 264, 630, 303, 27348, 1152, 994, 268, 10060, 12668, 281, 634, 10439, 15610, 454, 268, 10060, 12668, 4477, 5471, 14635, 476, 3066, 630, 11947, 7547, 540, 519, 590, 15676, 281, 634, 7276, 22367, 7719, 7982, 26695, 268, 10060, 12668, 281, 6181, 542, 1107, 6181, 542, 11759, 5590, 630, 25205, 281, 3738, 630, 3725, 1170, 4240, 538, 11023, 628, 966, 14575, 2155, 6387, 28841, 994, 268, 10060, 12668, 281, 6181, 542, 1107, 6181, 542, 11759, 5590, 630, 25205, 281, 3738, 630, 3725, 1170, 4240, 538, 5455, 14079, 9315, 13268, 264, 630, 303, 27348, 1152, 994, 268, 10060, 12668, 28691, 629, 619, 281, 589, 6651, 547, 1284, 777, 976, 540, 519, 10414, 630, 303, 27348, 1152, 994, 268, 10060, 12668, 4477, 5471, 14635, 476, 7761, 630, 291, 520, 629, 1678, 589, 19053, 281, 631, 864, 654, 8114, 264, 630, 303, 27348, 1152, 994, 268, 10060, 12668, 10886, 15610, 267, 1715, 9990, 454, 268, 570, 23966, 674, 7660, 13574, 619, 262, 22544, 15015, 454, 268, 25578, 4721, 543, 17726, 619, 454, 268, 18557, 20155, 281, 634, 13495, 531, 20187, 1107, 834, 17445, 532, 4840, 268, 18557, 20155, 281, 634, 13495, 531, 20187, 1107, 834, 26765, 2329, 4840, 268, 18557, 20155, 281, 634, 13495, 531, 20187, 1107, 834, 290, 770, 4840, 268, 18557, 20155, 281, 634, 13495, 531, 20187, 1107, 834, 22897, 4840, 268, 18557, 20155, 281, 634, 13495, 531, 20187, 1107, 834, 303, 24411, 4840, 268, 18557, 20155, 281, 634, 13495, 531, 20187, 1107, 834, 30360, 4840, 268, 10060, 12668, 281, 634, 28691, 629, 518, 14635, 454, 24687, 543, 8100, 314, 539, 527, 1923, 12575, 2707, 2639, 268, 10060, 12668, 9210, 28964, 10001, 589, 1715, 16593, 454, 268, 10060, 12668, 281, 634, 1849, 821, 12668, 1107, 834, 306, 659, 337, 12715, 4840, 268, 10060, 12668, 281, 9210, 28964, 8633, 1234, 1597, 613, 540, 519, 590, 603, 454, 268, 10060, 12668, 281, 634, 1849, 821, 12668, 1107, 834, 763, 4521, 1652, 4840, 268, 10060, 12668, 281, 9210, 28964, 17886, 17776, 540, 519, 808, 2664, 454, 268, 17776, 540, 519, 808, 2664, 281, 645, 1168, 732, 519, 5295, 540, 519, 14730, 17121, 2336, 268, 10060, 12668, 281, 634, 7831, 808, 2664, 281, 634, 10439, 9218, 454, 268, 10060, 12668, 281, 634, 22547, 540, 21708, 19769, 518, 281, 30771, 539, 9990, 454, 268, 10060, 12668, 281, 634, 22547, 540, 21708, 19769, 518, 281, 634, 10439, 9218, 454, 268, 10060, 12668, 281, 9210, 28964, 23446, 634, 10414, 21220, 752, 839, 454, 268, 10060, 12668, 281, 9210, 28964, 26577, 634, 22547, 540, 21708, 19769, 518, 454, 268, 10060, 12668, 281, 634, 22547, 540, 21708, 19769, 518, 281, 589, 28133, 23397, 454, 268, 10060, 12668, 31666, 7701, 281, 589, 3778, 540, 29480, 3203, 538, 519, 30982, 20964, 602, 519, 8895, 12519, 6243, 729, 8547, 693, 519, 1439, 540, 519, 808, 2664, 4149, 603, 2782, 267, 689, 799, 11023, 628, 645, 2033, 7153, 607, 519, 6852, 31848, 267, 2687, 547, 31597, 10060, 12668, 269, 634, 5449, 1433, 849, 2829, 602, 519, 6243, 2760, 6603, 513, 8536, 1296, 538, 922, 6228, 1354, 621, 729, 15702, 267, 799, 10060, 12668, 281, 8895, 12519, 25304, 7389, 547, 476, 866, 29851, 312, 269, 1306, 519, 10060, 12668, 281, 634, 1849, 821, 12668, 12558, 834, 306, 659, 337, 12715, 257, 20964, 602, 645, 2033, 2813, 519, 14329, 540, 5565, 1310, 519, 808, 2664, 4149, 603, 2782, 267, 621, 1590, 723, 1044, 2813, 1310, 476, 6200, 280, 29851, 312, 563, 268, 10060, 12668, 4477, 5471, 14635, 476, 273, 630, 291, 520, 629, 1678, 589, 19053, 281, 19264, 6319, 994, 268, 769, 10060, 12668, 281, 9210, 28964, 594, 634, 1912, 656, 558, 9093, 864, 267, 808, 2664, 9457, 962, 18649, 2829, 602, 972, 1223, 1152, 581, 1079, 590, 603, 700, 3581, 693, 513, 942, 282, 513, 14329, 540, 5565, 729, 538, 1747, 540, 590, 603, 19588, 267, 607, 6045, 538, 519, 10060, 12668, 281, 634, 1849, 821, 12668, 12558, 834, 306, 659, 337, 12715, 1701, 4595, 11023, 628, 28788, 1190, 543, 11023, 628, 631, 4954, 941, 519, 1079, 14730, 700, 3581, 1282, 634, 1912, 656, 558, 9093, 864, 267, 799, 10060, 12668, 281, 8895, 12519, 25304, 7389, 547, 476, 3953, 29851, 312, 267, 543, 602, 11023, 628, 1773, 6558, 529, 729, 28788, 1190, 262, 590, 603, 9457, 2687, 547, 10060, 310, 1513, 2593, 781, 13096, 629, 1678, 267, 1773, 6558, 529, 1185, 547, 723, 1044, 519, 590, 603, 7258, 1010, 22961, 823, 1354, 519, 2140, 540, 11023, 628, 267, 543, 8754, 519, 25136, 540, 8011, 532, 519, 6967, 1747, 540, 519, 14329, 540, 5565, 267, 729, 24705, 1042, 547, 631, 4954, 267, 799, 1185, 1044, 865, 676, 519, 2621, 540, 634, 1912, 656, 558, 9093, 864, 267, 538, 476, 3953, 29851, 312, 563, 268, 10060, 12668, 281, 8895, 12519, 25304, 454, 268, 10060, 12668, 281, 9210, 28964, 594, 634, 1912, 656, 558, 9093, 864, 454, 268, 10060, 12668, 281, 25999, 18421, 1411, 10261, 547, 5700, 454, 268, 10060, 12668, 281, 9210, 28964, 4083, 31105, 540, 519, 1849, 2158, 454, 268, 10060, 12668, 281, 634, 1849, 821, 12668, 1107, 834, 292, 2381, 775, 257, 0, 14818, 7813, 1280, 12708, 338, 540, 21834, 476, 280, 628, 9990, 454, 25456, 3848, 12989, 912, 29973, 338, 540, 21834, 267, 476, 280, 324, 267, 630, 298, 29888, 1696, 620, 8094, 6637, 476, 272, 4985, 547, 21834, 454, 272, 264, 769, 519, 476, 8182, 271, 338, 267, 5261, 29542, 6594, 12093, 543, 1646, 269, 1548, 568, 519, 2165, 2016, 547, 519, 3069, 799, 2829, 602, 606, 11248, 10953, 689, 519, 6992, 1242, 4212, 676, 513, 19588, 540, 11095, 2621, 602, 1291, 547, 606, 2937, 888, 268, 589, 264, 840, 4146, 454, 268, 645, 264, 18615, 4806, 5250, 454, 268, 595, 264, 1226, 1049, 7004, 454, 268, 667, 264, 1098, 9134, 454, 268, 661, 264, 27981, 8412, 454, 273, 264, 1548, 568, 519, 2165, 2016, 547, 519, 3069, 799, 2829, 602, 519, 6992, 1242, 4212, 3568, 513, 2347, 20538, 2937, 888, 268, 589, 264, 840, 4146, 454, 268, 645, 264, 1098, 9134, 454, 268, 595, 264, 7004, 454, 268, 667, 264, 17788, 566, 454, 268, 661, 264, 1591, 3069, 454, 274, 264, 1548, 568, 519, 2165, 2016, 547, 519, 3069, 799, 2322, 8521, 519, 2856, 602, 2713, 7103, 1223, 8451, 676, 17861, 908, 1875, 331, 1516, 3334, 888, 268, 589, 264, 21245, 5108, 454, 268, 645, 264, 2067, 5542, 454, 268, 595, 264, 4720, 454, 268, 667, 264, 840, 4146, 454, 268, 661, 264, 7104, 4999, 454, 275, 264, 5808, 267, 2059, 609, 21238, 28615, 267, 19775, 519, 3069, 540, 2067, 5542, 888, 268, 589, 264, 15535, 528, 21780, 601, 454, 268, 645, 264, 5261, 29542, 454, 268, 595, 264, 8402, 30854, 584, 454, 268, 667, 264, 8176, 16817, 454, 268, 661, 264, 6276, 23846, 454, 276, 264, 8745, 835, 540, 519, 7762, 534, 1235, 945, 267, 538, 476, 5002, 271, 267, 2699, 4593, 2642, 519, 960, 540, 15535, 528, 21780, 601, 563, 12585, 281, 14161, 4856, 27231, 267, 18018, 334, 632, 966, 1845, 267, 661, 5341, 570, 2675, 615, 332, 752, 454, 277, 264, 5808, 729, 519, 4864, 15687, 31494, 602, 5342, 513, 8717, 540, 6901, 593, 519, 4677, 890, 320, 267, 5555, 6029, 602, 7592, 616, 5293, 689, 3237, 547, 15556, 538, 22150, 2081, 888, 268, 589, 264, 14731, 595, 4459, 454, 268, 645, 264, 21238, 28615, 454, 268, 595, 264, 26194, 20215, 454, 268, 667, 264, 17127, 454, 268, 661, 264, 15535, 528, 21780, 601, 454, 278, 264, 769, 1082, 2249, 267, 972, 616, 1079, 13222, 540, 1142, 15694, 269, 769, 971, 2249, 267, 519, 8984, 1297, 540, 15954, 568, 1572, 519, 13322, 1297, 269, 898, 568, 2356, 3090, 1242, 607, 13322, 563, 268, 589, 264, 688, 30666, 282, 562, 454, 268, 645, 264, 688, 30666, 282, 476, 273, 333, 454, 268, 595, 264, 9733, 1355, 282, 476, 273, 333, 454, 268, 667, 264, 9733, 1355, 282, 562, 454, 268, 661, 264, 7183, 540, 519, 4267, 7396, 568, 2953, 563, 279, 264, 21834, 568, 519, 1353, 540, 13322, 563, 268, 589, 264, 19021, 640, 543, 8390, 454, 268, 645, 264, 15817, 543, 21748, 454, 268, 595, 264, 16606, 543, 8144, 454, 268, 667, 264, 9733, 1355, 543, 688, 30666, 454, 268, 661, 264, 18643, 543, 21921, 1588, 454, 280, 264, 7216, 538, 519, 14206, 2540, 267, 19124, 27659, 2023, 543, 23323, 528, 645, 1478, 328, 7074, 602, 519, 2623, 540, 15954, 1282, 32450, 568, 9838, 547, 519, 2623, 540, 6090, 1282, 13708, 23176, 5250, 269, 1358, 6069, 602, 6090, 616, 5645, 593, 15954, 267, 799, 3366, 547, 519, 4493, 540, 519, 13322, 563, 12585, 281, 26537, 25593, 7869, 540, 769, 615, 13330, 454, 1015, 264, 1548, 568, 513, 15817, 888, 12585, 281, 589, 15817, 568, 3989, 607, 1022, 26988, 1689, 538, 519, 5027, 5311, 563, 1556, 264, 1548, 568, 513, 2241, 4214, 540, 606, 27446, 888, 12585, 281, 1323, 27446, 568, 513, 14583, 1106, 540, 513, 5444, 563, 1321, 264, 19402, 519, 4571, 268, 3707, 271, 338, 267, 1082, 3744, 2808, 5946, 547, 581, 519, 2693, 10457, 585, 519, 4719, 1570, 269, 4208, 888, 12585, 281, 26287, 1231, 616, 519, 1034, 10731, 267, 24080, 7856, 3334, 538, 2281, 269, 1358, 941, 2808, 2693, 10457, 1317, 540, 741, 1390, 7293, 543, 6198, 4763, 563, 1724, 264, 8745, 519, 1367, 945, 267, 1247, 2324, 609, 519, 4677, 890, 320, 538, 519, 4571, 268, 6977, 271, 338, 267, 7152, 11050, 3270, 540, 19021, 640, 543, 2919, 513, 3069, 5473, 519, 2623, 540, 22420, 2188, 563, 12585, 281, 15535, 528, 21780, 601, 454, 1691, 264, 1548, 1281, 519, 2165, 11976, 1611, 888, 12585, 281, 21834, 568, 513, 1016, 4134, 23002, 540, 7350, 7255, 609, 519, 1353, 540, 19021, 640, 543, 8390, 693, 519, 7636, 267, 10408, 267, 11095, 267, 11248, 531, 267, 543, 17069, 1049, 2157, 563, 1428, 264, 8745, 1079, 2043, 945, 3177, 519, 12497, 4493, 585, 938, 1459, 1620, 602, 6090, 616, 593, 15954, 563, 12585, 281, 19124, 27659, 2023, 543, 23323, 528, 645, 1478, 328, 454, 1626, 264, 1548, 2165, 568, 1031, 547, 4766, 519, 1249, 602, 1114, 6090, 538, 606, 11248, 1419, 1683, 3604, 538, 28507, 2934, 888, 1704, 264, 1548, 2165, 4016, 547, 519, 16726, 1063, 3237, 543, 15556, 543, 1018, 2165, 4016, 547, 519, 3668, 540, 16726, 1063, 3237, 543, 15556, 888, 12585, 281, 670, 1229, 640, 4016, 547, 519, 16726, 1063, 3237, 543, 15556, 543, 519, 16726, 540, 2818, 540, 519, 1482, 2249, 269, 7352, 566, 4016, 547, 519, 3668, 540, 16726, 1063, 3237, 543, 15556, 543, 2818, 540, 519, 1482, 2249, 563, 1240, 264, 20010, 3029, 540, 513, 5444, 616, 1572, 13322, 563, 866, 264, 634, 1585, 4162, 540, 7103, 602, 1267, 689, 741, 4719, 17539, 616, 15217, 5219, 547, 607, 606, 11248, 779, 13322, 563, 736, 264, 8745, 519, 6219, 602, 5713, 607, 519, 22420, 1570, 538, 24087, 4925, 543, 605, 28648 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3812, 513, 2565, 1560, 540, 3332, 602, 711, 1152, 12873, 519, 6215, 8576, 1014, 1893, 855, 849, 21490, 519, 1259, 585, 519, 1646, 540, 513, 2413, 5339, 1893, 563, 294, 1090, 332, 1513, 267, 21594, 267, 12583, 267, 9499, 267, 16627, 540, 3909, 543, 16712, 5931, 689, 5824, 543, 4436, 267, 519, 1101, 14786, 267, 3312, 4249, 543, 2413, 5339, 14624, 941, 519, 1292, 1797, 547, 4688, 519, 6215, 8576, 1014, 1893, 543, 6318, 3084, 4656, 563, 763, 476, 3192, 273, 1795, 13678, 850, 1065, 11781, 540, 4460, 334, 623, 2129, 4802, 267, 16515, 544, 2728, 14850, 539, 529, 515, 1726, 327, 795, 525, 1731, 990, 815, 30605, 568, 339, 281, 546, 553, 737, 548, 710, 654, 23152, 614, 321, 1276, 538, 546, 9445, 523, 1975, 2350, 1156, 815, 2372, 617, 1609, 281, 1612, 341, 636, 546, 2109, 10740, 959, 4979, 826, 630, 299, 329, 28362, 329, 3570, 267, 18222, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 14298, 18426, 13316, 1315, 28668, 1315, 8836, 1299, 4317, 1315, 13834, 32018, 543, 14740, 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, 14295, 2762, 543, 10934, 3778, 281, 1133, 557, 4979, 519, 2622, 998, 21476, 692, 296, 269, 4985, 692, 300, 2355, 723, 1044, 15747, 538, 5935, 938, 1620, 540, 519, 1158, 543, 922, 16221, 4529, 267, 5054, 267, 543, 12583, 269, 1306, 3140, 13742, 267, 7851, 7866, 1454, 827, 519, 7239, 602, 2813, 873, 267, 17766, 1769, 593, 741, 1702, 267, 11994, 267, 543, 17050, 269, 769, 713, 1770, 267, 649, 5490, 883, 519, 4241, 7706, 540, 7047, 2762, 543, 4786, 1686, 267, 3695, 875, 3504, 4786, 16234, 899, 3057, 19434, 519, 14977, 6929, 543, 19863, 3780, 623, 1729, 548, 3240, 8329, 547, 519, 1646, 540, 10923, 1702, 269, 1635, 6313, 741, 1568, 267, 3226, 519, 10934, 540, 3057, 19434, 519, 14977, 6929, 543, 19863, 3780, 623, 1729, 548, 3240, 781, 2983, 1748, 807, 267, 649, 786, 10625, 519, 1950, 3347, 1063, 11837, 267, 2528, 267, 543, 1379, 780, 2862, 269, 634, 9147, 3203, 540, 14295, 2762, 692, 288, 269, 17959, 540, 14295, 2762, 692, 6524, 11362, 883, 519, 1808, 7418, 540, 3057, 19434, 519, 14977, 6929, 543, 19863, 3780, 623, 1729, 548, 3240, 267, 621, 568, 1898, 547, 1174, 519, 6626, 2796, 540, 2038, 7047, 4919, 2853, 269, 7216, 3425, 16941, 8185, 593, 5711, 5389, 543, 2790, 7851, 547, 6330, 741, 10450, 282, 2705, 267, 519, 8798, 540, 1603, 1949, 1472, 476, 17168, 271, 14514, 13087, 811, 4977, 11269, 540, 8901, 1344, 269, 2368, 540, 519, 9998, 1634, 7851, 4266, 1394, 547, 23104, 1014, 12977, 971, 607, 5681, 518, 2103, 543, 20770, 2103, 267, 945, 13269, 741, 4872, 267, 11182, 267, 543, 18477, 4703, 593, 10036, 14342, 269, 11531, 267, 12266, 13099, 344, 686, 7604, 1078, 6946, 1283, 7240, 2934, 2059, 519, 20407, 5211, 543, 4478, 2127, 269, 1452, 2038, 8942, 693, 11837, 9788, 519, 24536, 585, 2104, 5481, 540, 7047, 20802, 780, 289, 269, 18774, 523, 2065, 14295, 2762, 692, 31528, 10340, 5129, 513, 2629, 1909, 538, 14027, 7047, 4919, 2553, 1282, 519, 18190, 1974, 630, 4335, 1700, 26825, 14514, 1040, 25408, 267, 1323, 1314, 574, 6387, 267, 513, 14544, 689, 631, 850, 339, 639, 267, 9112, 835, 540, 519, 1101, 1634, 1158, 7851, 1759, 593, 6310, 3741, 1472, 476, 7785, 14514, 269, 901, 6825, 513, 1713, 6521, 2509, 513, 811, 3621, 1935, 547, 7047, 2762, 267, 10771, 9511, 267, 17651, 267, 543, 12170, 7422, 269, 13536, 5259, 15806, 267, 22697, 267, 543, 19936, 4797, 17975, 891, 2409, 267, 28285, 538, 661, 7806, 739, 1156, 525, 262, 9819, 540, 3047, 781, 18592, 538, 519, 3791, 2540, 14514, 269, 3571, 7447, 729, 26526, 2673, 547, 2413, 7403, 267, 11744, 519, 30483, 540, 18774, 523, 2065, 7047, 2762, 780, 7656, 269, 3057, 19434, 519, 14977, 6929, 281, 5890, 21505, 21222, 976, 692, 11767, 3057, 19434, 519, 14977, 6929, 267, 513, 13983, 1723, 7304, 2674, 2520, 19212, 3742, 1282, 519, 3735, 2034, 2540, 9460, 269, 4014, 2370, 568, 1634, 827, 1010, 1272, 267, 1010, 3172, 636, 1566, 639, 1107, 11331, 2901, 2983, 1748, 11986, 610, 3131, 328, 15200, 3057, 529, 1696, 700, 3218, 529, 19612, 1107, 3648, 12936, 7766, 7047, 4919, 7835, 269, 10251, 267, 519, 3312, 12377, 814, 1044, 4503, 547, 942, 267, 6028, 5640, 547, 7048, 593, 2663, 14624, 267, 1034, 16113, 19863, 3780, 623, 1729, 548, 3240, 781, 25465, 540, 3057, 15687, 1239, 883, 1010, 2983, 1748, 807, 780, 288, 269, 30404, 13979, 692, 11321, 19434, 5189, 1896, 10124, 547, 519, 2361, 540, 7047, 2762, 267, 1519, 9750, 519, 1634, 19976, 6708, 540, 519, 20948, 1158, 630, 334, 1731, 537, 332, 2940, 264, 3564, 3105, 7182, 1305, 676, 18135, 2692, 269, 1261, 849, 4824, 11282, 1949, 267, 12270, 519, 8608, 883, 10851, 6252, 547, 519, 20337, 543, 7893, 9883, 2059, 5789, 573, 1308, 3515, 2864, 982, 1390, 10580, 269, 5047, 267, 3057, 19434, 7471, 1007, 10923, 1344, 5833, 689, 4207, 17701, 267, 18318, 267, 543, 17631, 267, 4611, 538, 513, 811, 3102, 2070, 540, 519, 1158, 780, 289, 269, 2552, 7337, 344, 543, 13891, 622, 692, 8601, 3057, 19434, 262, 3646, 547, 4434, 7047, 4919, 1702, 267, 1010, 960, 17275, 15784, 1851, 8284, 30921, 269, 2290, 8037, 10404, 729, 19863, 3780, 623, 1729, 548, 3240, 267, 945, 3576, 3390, 609, 1978, 3344, 540, 3057, 19434, 262, 10923, 1523, 687, 269, 4107, 28020, 267, 623, 1729, 548, 3240, 31713, 3057, 19434, 262, 16759, 540, 519, 522, 1731, 537, 332, 2940, 781, 3259, 267, 19163, 585, 513, 7522, 518, 12732, 540, 476, 5197, 5232, 3079, 540, 3057, 19434, 262, 6069, 476, 18597, 5232, 269, 1717, 267, 607, 649, 4927, 1294, 2663, 267, 972, 568, 2963, 11021, 602, 623, 1729, 548, 3240, 949, 723, 31205, 7550, 3057, 19434, 262, 6482, 1310, 782, 780, 4353, 269, 19863, 3780, 623, 1729, 548, 3240, 281, 3117, 13521, 908, 2983, 7240, 11310, 692, 290, 5055, 644, 3780, 623, 1729, 548, 3240, 267, 1776, 9565, 4137, 538, 3504, 7047, 2762, 267, 5030, 1282, 519, 2034, 2540, 9460, 538, 28641, 267, 5527, 269, 2755, 1655, 1634, 585, 1010, 960, 538, 6128, 267, 25852, 267, 543, 31826, 267, 623, 1729, 548, 3240, 1500, 11972, 7418, 547, 11585, 543, 7047, 2762, 998, 1010, 25761, 1521, 1047, 2983, 1748, 807, 269, 14301, 2390, 1585, 2959, 267, 1519, 3057, 19434, 519, 14977, 6929, 267, 623, 1729, 548, 3240, 16432, 513, 5318, 23789, 540, 10923, 1702, 1247, 10962, 3209, 7047, 4919, 6436, 543, 2553, 780, 288, 269, 2983, 1748, 807, 281, 589, 3281, 754, 1756, 540, 2983, 7240, 6176, 692, 10481, 1748, 807, 5161, 540, 1079, 1292, 6810, 281, 7811, 543, 4052, 269, 634, 5449, 14592, 2489, 3741, 540, 4786, 14708, 267, 10974, 267, 543, 20327, 267, 6466, 519, 8545, 2488, 8638, 540, 4025, 10483, 676, 4234, 15994, 543, 19976, 10974, 269, 12830, 569, 267, 623, 1729, 548, 3240, 3769, 7851, 20515, 1010, 10923, 11673, 267, 1818, 2983, 1748, 807, 606, 16832, 4199, 585, 10120, 543, 11193, 4786, 16234, 780, 289, 269, 12474, 1190, 20556, 609, 3057, 19434, 692, 2026, 5018, 4505, 267, 623, 1729, 548, 3240, 7722, 538, 12699, 9840, 609, 3057, 19434, 3823, 2152, 971, 607, 519, 2450, 540, 519, 522, 1731, 537, 332, 2940, 269, 6736, 1010, 30852, 267, 623, 1729, 548, 3240, 5526, 547, 723, 22666, 14916, 689, 3057, 19434, 262, 960, 267, 6220, 1454, 540, 1010, 1239, 543, 16097, 883, 2983, 1748, 807, 269, 5015, 267, 2487, 1382, 5267, 602, 623, 1729, 548, 3240, 1522, 723, 1071, 3200, 569, 6964, 3057, 19434, 262, 3476, 522, 1731, 537, 332, 2940, 2268, 950, 14335, 1010, 7851, 267, 16213, 8969, 593, 1010, 9277, 18349, 540, 3057, 15687, 2093, 780, 309, 269, 10390, 692, 1103, 3932, 267, 519, 1353, 540, 3504, 7047, 2762, 3091, 3407, 4030, 883, 1480, 1686, 267, 13031, 9687, 11994, 540, 2230, 267, 1747, 267, 543, 3961, 2429, 519, 6502, 269, 22955, 899, 3057, 19434, 519, 14977, 6929, 543, 19863, 3780, 623, 1729, 548, 3240, 1796, 607, 1449, 14613, 547, 8103, 781, 1202, 520, 4192, 7279, 543, 8990, 547, 1118, 2631, 540, 519, 1158, 1472, 873, 269, 4256, 23543, 3136, 11121, 4207, 3173, 543, 4786, 12439, 7567, 267, 22348, 721, 602, 1256, 538, 2221, 781, 5736, 540, 15870, 15408, 543, 5616, 21476, 267, 972, 3788, 1454, 547, 3605, 543, 1451, 689, 938, 7104, 2250, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 4786, 540, 3057, 19434, 519, 14977, 6929, 568, 538, 1249, 519, 4786, 1031, 676, 19863, 3780, 623, 1729, 548, 3240, 855, 6537, 593, 513, 1114, 1989, 1738, 2544, 269, 589, 2241, 7634, 540, 519, 1257, 540, 19863, 3780, 623, 1729, 548, 3240, 8761, 602, 1249, 563, 9827, 8612, 267, 5103, 519, 13889, 725, 676, 623, 1729, 548, 3240, 7282, 519, 3259, 540, 519, 522, 1731, 537, 332, 2940, 2016, 676, 3057, 19434, 267, 568, 519, 1249, 602, 623, 1729, 548, 3240, 2965, 3096, 519, 1482, 3259, 267, 4352, 646, 13290, 547, 12404, 519, 1249, 267, 547, 3313, 1010, 522, 1731, 537, 332, 2940, 540, 1152, 476, 5197, 5232, 563, 763, 11271, 5627, 519, 1239, 30289, 547, 3057, 19434, 519, 14977, 6929, 616, 607, 5205, 281, 630, 8923, 4063, 585, 16134, 594, 993, 1210, 519, 21862, 21672, 1257, 26333, 994, 6224, 22790, 476, 277, 281, 12164, 290, 30204, 5058, 5990, 23817, 22593, 295, 13965, 715, 2752, 6938, 16739, 5508, 27107, 2562, 4785, 454, 4263, 519, 4098, 540, 519, 3184, 267, 19863, 3780, 623, 1729, 548, 3240, 2829, 267, 968, 2252, 649, 4983, 5702, 1010, 630, 11321, 19434, 264, 2063, 960, 649, 1265, 1906, 12889, 269, 898, 1131, 3100, 547, 581, 2614, 585, 721, 547, 4766, 519, 3618, 593, 799, 649, 17743, 689, 1010, 6085, 2456, 4805, 267, 1510, 824, 13753, 3034, 3719, 623, 1729, 548, 3240, 538, 10503, 519, 3618, 689, 1346, 6085, 2456, 954, 915, 338, 1010, 1378, 4978, 543, 620, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 290, 691, 2762, 543, 10934, 3778, 257, 607, 851, 540, 834, 19615, 1315, 8466, 17323, 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, 7170, 281, 1215, 547, 5269, 2659, 13574, 13067, 17360, 6428, 611, 667, 7675, 692, 272, 269, 20283, 707, 5820, 281, 1677, 1118, 19471, 19997, 19703, 267, 596, 786, 991, 930, 2596, 5820, 971, 607, 14462, 3282, 267, 16693, 630, 528, 11993, 10433, 1070, 28401, 267, 9932, 610, 4006, 267, 6070, 267, 543, 14723, 269, 1411, 949, 849, 1616, 547, 1039, 824, 5820, 899, 13342, 267, 11922, 267, 610, 14546, 4470, 593, 707, 13283, 269, 11109, 782, 707, 5820, 4712, 1354, 4358, 786, 2327, 513, 5347, 5986, 1184, 563, 273, 269, 32341, 593, 519, 1826, 540, 19703, 281, 1703, 616, 1082, 2010, 540, 19997, 10571, 902, 596, 666, 1118, 693, 1753, 267, 971, 607, 642, 2088, 580, 4958, 974, 267, 27598, 267, 610, 8126, 344, 269, 3962, 1826, 814, 922, 1378, 2189, 6492, 543, 9403, 267, 865, 3442, 835, 1759, 593, 707, 2123, 7375, 543, 1018, 2186, 540, 19997, 596, 616, 7674, 269, 1280, 1383, 267, 513, 5929, 642, 2088, 580, 4958, 974, 1131, 960, 1390, 609, 513, 3039, 19997, 267, 1247, 513, 27598, 19703, 1522, 581, 1655, 14018, 585, 513, 18437, 19997, 563, 274, 269, 12763, 707, 5820, 281, 2422, 7893, 838, 9398, 543, 11680, 547, 8308, 2268, 856, 707, 5820, 269, 901, 5849, 5812, 2164, 1169, 942, 543, 2636, 596, 547 ]

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

[ 515, 1091, 14606, 661, 12509, 543, 20767, 2939, 566, 13845, 320, 6019, 12754, 11094, 10588, 590, 680, 1662, 11761, 4386, 593, 519, 2627, 540, 519, 3037, 267, 950, 5536, 616, 19774, 676, 519, 3196, 540, 9991, 986, 785, 28979, 563, 9515, 564, 11761, 4386, 950, 4764, 568, 9991, 5488, 982, 3037, 666, 10110, 621, 267, 4929, 1216, 547, 2445, 543, 2095, 936, 519, 2666, 269, 4993, 8274, 540, 12333, 19296, 267, 8092, 11752, 832, 543, 2983, 5505, 630, 290, 21990, 30600, 294, 17821, 324, 264, 13397, 10234, 1627, 16256, 9751, 5358, 269, 3117, 11962, 609, 23621, 4993, 8943, 540, 22769, 3296, 8943, 540, 12333, 18430, 267, 513, 595, 21990, 30600, 294, 17821, 324, 4927, 1683, 3028, 585, 513, 1788, 538, 513, 6073, 602, 568, 5812, 609, 519, 4031, 267, 9479, 267, 3921, 333, 1734, 543, 6042, 10858, 547, 602, 1788, 563, 27908, 619, 15880, 814, 3875, 2144, 5317, 8492, 269, 14606, 11761, 2164, 538, 3037, 1373, 1033, 3737, 267, 5645, 2476, 267, 543, 5555, 20024, 11992, 269, 898, 568, 513, 2067, 1184, 267, 543, 8933, 543, 524, 872, 802, 6923, 3180, 3037, 267, 16005, 621, 538, 930, 4025, 543, 4584, 621, 909, 538, 824, 4025, 563, 763, 1739, 2326, 786, 5351, 3959, 5411, 609, 1697, 11761, 1852, 593, 4609, 8697, 676, 910, 27852, 14600, 12720, 9669, 585, 5851, 14935, 630, 14457, 264, 4964, 24793, 593, 4975, 661, 12509, 6513, 27557, 630, 14457, 264, 2422, 995, 9669, 585, 27686, 5455, 12891, 543, 1546, 11421, 630, 14457, 264, 6858, 18336, 763, 30159, 15880, 9605, 538, 2904, 14616, 476, 275, 267, 25614, 538, 519, 10239, 22236, 540, 28631, 267, 12548, 269, 901, 30481, 22485, 519, 11761, 12939, 540, 519, 24659, 269, 1306, 513, 12343, 540, 713, 30481, 267, 513, 1032, 4764, 10445, 538, 5147, 3361, 11761, 25318, 543, 18254, 540, 713, 782, 12320, 658, 10178, 693, 519, 5023, 540, 513, 29815, 776, 547, 30159, 15880, 563, 1607, 568, 1946, 519, 661, 12509, 543, 20767, 2939, 6513, 5358, 543, 519, 715, 11520, 2464, 28498, 1949, 941, 8045, 543, 1946, 3152, 8060, 616, 2838, 585, 9367, 982, 585, 6683, 7693, 4610, 563, 29910, 6019, 5170, 547, 1020, 693, 513, 11931, 2557, 269, 901, 3773, 1646, 5932, 513, 2101, 2942, 1764, 593, 519, 2298, 540, 519, 7297, 515, 1091, 563, 310, 11596, 515, 1091, 616, 2244, 2127, 602, 1187, 6773, 1216, 547, 513, 1455, 1970, 1448, 2356, 513, 6908, 267, 10720, 267, 5757, 610, 856, 547, 519, 5836, 269, 1879, 621, 22856, 267, 1216, 8928, 1524, 689, 2127, 540, 2362, 15038, 1739, 519, 2067, 3337, 540, 519, 2244, 269, 13966, 519, 1259, 267, 24467, 543, 4683, 20359, 666, 2445, 543, 16005, 17885, 267, 11159, 267, 8407, 267, 18168, 267, 13851, 543, 824, 14107, 883, 938, 2199, 5780, 18336, 12892, 26865, 568, 538, 1198, 1813, 547, 519, 5046, 6855, 269, 4107, 2941, 1069, 527, 6590, 5234, 616, 7658, 11529, 543, 2139, 676, 4757, 269, 1677, 4757, 519, 24659, 11347, 585, 707, 16278, 267, 5225, 3643, 938, 3346, 721, 811, 1344, 543, 2200, 593, 5046, 538, 519, 5842, 17630, 3148, 267, 5225, 3643, 24665, 730, 11761, 543, 11159, 566, 1813, 547, 3618, 332, 8221, 2238, 814, 2942, 5222, 711, 1152, 593, 519, 1604, 855, 849, 17215, 593, 782, 540, 721, 7264, 543, 3454, 2628, 619, 563, 20245, 28620, 281, 23566, 4248, 17579, 525, 6383, 1282, 4070, 723, 513, 1761, 585, 3978, 1216, 2298, 593, 281, 15443, 548, 2775, 20000, 267, 2672, 924, 661, 321, 839, 7921, 2136, 2276, 563, 11764, 2466, 661, 12509, 6513, 568, 10583, 547, 581, 519, 12600, 674, 2830, 516, 16282, 10672, 585, 5493, 2280, 1242, 11003, 6882, 26852, 585, 8828, 4993, 563, 293, 2830, 516, 16282, 568, 519, 3039, 3070, 547, 11159, 267, 11761, 543, 4853, 5533, 1852, 267, 1210, 12725, 1606, 712, 1027, 13381, 1418, 923, 585, 19993, 19288, 563, 8923, 3643, 585, 811, 1344, 269, 14606, 661, 12509, 543, 20767, 2939, 13870, 593, 27347, 1117, 14924, 7870, 281, 22948, 543, 6513, 3848, 2290, 21850, 29767, 476, 272, 269, 13809, 525, 540, 14606, 8249, 13809, 525, 540, 519, 3037, 2200, 689, 6382, 11327, 543, 1134, 8647, 7297, 515, 1091, 568, 540, 268, 1084, 513, 18596, 1966, 29270, 3289, 6331, 1235, 543, 24659, 9946, 563, 4322, 9271, 540, 3037, 723, 290, 1243, 676, 281, 476, 275, 269, 14606, 661, 12509, 1299, 20767, 2939, 566, 6513, 8490, 3785, 610, 3618, 19717, 2238, 602, 616, 593, 23505, 610, 811, 2450, 10758, 1369, 3952, 540, 513, 1560, 540, 1216, 2154, 28498, 689, 519, 563, 763, 18718, 1633, 6019, 4826, 8249, 30934, 781, 8433, 630, 310, 13612, 264, 568, 3743, 585, 28720, 519, 14606, 661, 12509, 543, 20767, 2939, 566, 6513, 2920, 630, 8450, 14606, 661, 12509, 2920, 267, 3487, 476, 11011, 540, 13698, 540, 553, 29567, 4700, 634, 3483, 540, 519, 9086, 568, 547, 7413, 11761, 543, 1852, 11159, 566, 547, 2149, 519, 1216, 2200, 540, 519, 3557, 563, 26473, 790, 906, 585, 661, 12509, 543, 20767, 2939, 6513, 269, 14606, 11761, 543, 11159, 566, 10460, 513, 3978, 3463, 547, 1216, 2298, 269, 661, 12509, 568, 519, 9849, 2476, 540, 519, 2666, 2627, 607, 513, 1267, 540, 519, 3350, 540, 2842, 610, 1216, 563, 306, 539, 2939, 566, 568, 519, 13250, 540, 3037, 543, 824, 2339, 16487, 689, 519, 269, 27347, 515, 1091, 538, 5842, 17630, 3371, 538, 5842, 17630, 6019, 649, 723, 22221, 9381, 1951, 1456, 7297, 515, 1091, 630, 2288, 519, 3169, 1297, 5673, 593, 875, 789, 723, 1044, 30431, 730, 585, 2359, 4128, 1916, 310, 11596, 515, 1091, 798, 711, 5469, 610, 646, 539, 2797, 6302, 267, 543, 1082, 540, 23600, 3444, 10315, 610, 1533, 3515, 267, 610, 1256, 519, 3486, 8473, 269, 661, 12509, 543, 20767, 2939, 566, 17461, 269, 661, 12509, 2934, 693, 519, 9835, 24258, 538, 7187, 14151, 269, 661, 12509, 936, 27230, 942, 814, 24609, 539, 10239, 267, 543, 14155, 730, 971, 2934, 607, 519, 9835, 24258, 563, 4322, 616, 1175, 513, 1906, 1806, 540, 519, 9434, 24221, 602, 11761, 814, 2451, 593, 938, 5251, 9950, 12509, 568, 519, 1184, 602, 31273, 2476, 3618, 563, 1607, 666, 2049, 6923, 676, 1216, 267, 2842, 610, 4672, 269, 4438, 519, 11761, 1184, 11353, 540, 3037, 616, 6410, 267, 1034, 1419, 676, 1216, 267, 547, 513, 1007, 4087, 269, 634, 3037, 5536, 1373, 6410, 616, 1572, 11159, 9950, 12509, 543, 20767, 2939, 566, 661, 12509, 538, 519, 2796, 540, 3037, 543, 24659, 5726, 568, 519, 1033, 16670, 543, 3350, 540, 3037, 5536, 676, 2067, 4229, 267, 5097, 1216, 543, 2842, 563, 5415, 17618, 267, 11761, 568, 519, 1184, 540, 9849, 2476, 7725, 267, 27230, 267, 543, 3037, 1570, 3842, 1216, 267, 2842, 267, 610, 4672, 630, 324, 3052, 1421, 22260, 1040, 0, 293, 1168, 1131, 12314, 5191, 540, 4633, 609, 14278, 1235, 563, 21953, 538, 1079, 2665, 5473, 14278, 1235, 835, 4956, 1175, 2063, 3018, 519, 772, 2529, 269, 10966, 7040, 814, 9783, 1271, 3664, 602, 948, 2149, 519, 3689, 14821, 543, 519, 1863, 2095, 540, 1344, 547, 6800, 563, 1103, 476, 3192, 277, 519, 10966, 7040, 9783, 513, 19506, 15194, 602, 13351, 1524, 513, 9098, 1876, 602, 3046, 1042, 14278, 1235, 689, 10229, 519, 3902, 540, 13310, 5061, 563, 1103, 602, 8978, 2013, 267, 519, 5480, 4371, 602, 1256, 5010, 4633, 602, 968, 323, 3996, 1100, 811, 982, 15974, 513, 5010, 11834, 892, 568, 6870, 676, 519, 3689, 14821, 269, 19402, 1287, 267, 10229, 10150, 2484, 1447, 13338, 4027, 982, 865, 10777, 968, 335, 11823, 4633, 3034, 1103, 8757, 713, 3375, 267, 519, 5480, 2601, 539, 602, 6800, 685, 1719, 538, 1344, 827, 5061, 543, 2472, 949, 581, 1256, 3152, 982, 1719, 538, 5571, 2797, 9840, 269, 2991, 782, 267, 3478, 1569, 547, 10097, 4915, 666, 581, 513, 1883, 3815, 538, 519, 2298, 540, 835, 779, 1272, 563, 1607, 7029, 547, 519, 1863, 2095, 540, 7082, 1344, 849, 729, 10423, 2063, 3018, 538, 513, 2013, 538, 799, 519, 10966, 7040, 13351, 1524, 513, 5313, 1876, 7303, 7966, 9313, 689, 10229, 519, 8244, 540, 7623, 5061, 563, 4942, 29108, 1235, 723, 1279, 5916, 610, 6404, 5061, 547, 1711, 6527, 3358, 547, 2550, 262, 1808, 2115, 269, 6884, 713, 5386, 2389, 12941, 568, 2944, 267, 585, 1383, 267, 547, 2232, 1367, 11959, 610, 824, 2123, 6381, 563, 763, 476, 1960, 278, 1876, 15868, 713, 7623, 532, 547, 3136, 267, 855, 5143, 14278, 1235, 789, 1223, 711, 14441, 519, 8244, 540, 971, 7135, 269, 634, 2229, 779, 7744, 281, 898, 814, 513, 2178, 1719, 538, 4180, 602, 11955, 616, 2922, 267, 543, 7623, 532, 1058, 711, 581, 1031, 607, 606, 1439, 24507, 1472, 519, 2229, 779, 14021, 13170, 1184, 585, 1007, 5061, 563, 29209, 8397, 7623, 532, 540, 6646, 13745, 609, 10229, 547, 1628, 3747, 1131, 581, 21915, 26920, 547, 8380, 513, 1007, 3075, 593, 519, 2344, 1510, 7850, 28863, 267, 519, 2229, 15387, 563, 2791, 666, 1406, 29170, 7758, 609, 519, 2229, 779, 24500, 269, 23496, 519, 2298, 540, 5061, 543, 7863, 519, 1857, 10304, 1058, 581, 1851, 2229, 779, 14422, 563, 19013, 267, 1434, 24500, 1810, 1406, 2141, 1118, 1434, 1876, 269, 7201, 519, 3689, 14821, 267, 2229, 666, 1406, 3970, 519, 4633, 8659, 538, 10229, 4849, 896, 8903, 6381, 267, 543, 1287, 1152, 1310, 621, 814, 25356, 824, 14319, 563, 8310, 3018, 267, 519, 10966, 7040, 5143, 519, 5313, 2229, 602, 621, 1185, 3144, 519, 2653, 1259, 856, 267, 543, 538, 3257, 865, 267, 1185, 26991, 519, 9139, 269, 769, 519, 1913, 540, 10456, 9995, 571, 4303, 744, 685, 3519, 24335, 267, 945, 5206, 519, 5480, 779, 6644, 267, 968, 2252, 519, 3689, 14821, 1797, 4376, 267, 621, 1797, 602, 15725, 4633, 1590, 581, 513, 2063, 711, 1101, 18992, 269, 8616, 1934, 621, 4667, 547, 723, 1044, 519, 1101, 4640, 519, 2229, 2219, 547, 2119, 3034, 763, 10966, 7040, 11329, 856, 602, 519, 2229, 1223, 723, 6913, 922, 3853, 540, 7863, 519, 1857, 676, 12145, 856, 6361, 15581, 6455, 610, 10238, 1746, 7623, 532, 1510, 513, 13310, 538, 1688, 563, 7197, 540, 721, 1810, 1406, 2628, 3007, 547, 3689, 14821, 2665, 8259, 789, 4125, 15784, 269, 2052, 519, 21647, 15292, 1524, 6301, 9335, 286, 2052, 27127, 2762, 581, 11540, 593, 519, 5769, 286, 9701, 519, 14210, 16710, 906, 581, 11540, 593, 1857, 5656, 888, 2005, 779, 5363, 547, 3314, 602, 972, 616, 1419, 1447, 23724, 1043, 3664, 602, 1118, 7864, 24657, 267, 855, 798, 1118, 513, 3017, 563, 763, 5207, 5480, 538, 519, 2244, 11542, 909, 585, 938, 1318, 547, 4309, 2143, 1344, 689, 938, 14278, 1235, 543, 547, 1118, 5483, 3664, 827, 938, 1072, 1416, 269, 6884, 519, 9602, 24984, 666, 1611, 519, 1034, 269, 0, 20238, 880, 568, 606, 4998, 2890, 13582, 267, 1419, 6074, 585, 922, 24974, 2681, 269, 898, 568, 593, 519, 25970, 2427, 540, 8137, 267, 855, 676, 1100, 1797, 1932, 25970, 563, 301, 19153, 281, 23554, 7530, 589, 267, 645, 267, 595, 267, 661, 1299, 918, 267, 31447, 3679, 267, 562, 13519, 514, 267, 11379, 267, 4401, 267, 16903, 267, 20562, 582, 1156, 545, 3679, 267, 7513, 267, 13101, 267, 13058, 267, 25558, 25333, 454, 17806, 675, 281, 9197, 4875, 267, 30362, 454, 20238, 880, 2890, 26572, 839, 616, 16041, 609, 8324, 267, 543, 1382, 5267, 602, 891, 2706, 5991, 8130, 1190, 2890, 26572, 839, 949, 1256, 581, 2500, 538, 7303, 2860, 982, 22282, 2890, 26572, 839, 563, 5445, 616, 606, 5140, 2707, 540, 31833, 269, 23205, 622, 568, 5156, 547, 3895, 9025, 1072, 676, 8840, 1524, 4630, 7514, 4614, 710, 267, 606, 11254, 3679, 602, 568, 2219, 547, 3895, 19473, 29912, 630, 325, 520, 1399, 12074, 538, 1973, 8043, 1040, 6168, 476, 272, 270, 273, 540, 1004, 609, 9025, 2068, 723, 11506, 4630, 7514, 4614, 710, 2157, 563, 1103, 1840, 547, 3246, 9748, 540, 31833, 267, 2234, 880, 2890, 26572, 839, 2270, 7899, 540, 6171, 645, 277, 267, 1776, 8770, 602, 814, 1044, 3254, 547, 2736, 1524, 4630, 7514, 4614, 710, 538, 519, 1560, 563, 12552, 547, 741, 5393, 1164, 6722, 28009, 25544, 1543, 267, 22282, 2890, 26572, 839, 616, 512, 719, 539, 585, 741, 4550, 2275, 22083, 2360, 269, 1809, 607, 621, 7140, 856, 267, 2234, 880, 2890, 26572, 839, 949, 723, 1256, 811, 4550, 2275, 22083, 1761, 982, 22282, 2890, 26572, 839, 563, 20238, 880, 2890, 26572, 839, 616, 796, 1173, 340, 2406, 835, 540, 519, 1655, 3536, 585, 1004, 945, 616, 3843, 547, 10690, 2597, 269, 1358, 616, 1970, 538, 8477, 543, 616, 14095, 609, 23554, 7530, 563, 5445, 849 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 513, 6094, 4494, 540, 1970, 12680, 3037, 563, 305, 664, 7733, 2874, 540, 513, 1297, 454, 1993, 6106, 269, 1530, 523, 689, 1657, 267, 519, 4764, 4104, 5654, 899, 454, 320, 536, 17056, 3039, 24095, 267, 855, 621, 2965, 814, 513, 1297, 540, 2157, 563, 763, 28928, 4494, 814, 519, 32399, 4054, 267, 799, 1796, 454, 1575, 14350, 1657, 519, 4054, 22125, 1927, 2630, 873, 563, 4322, 4054, 1205, 513, 2603, 540, 1769, 267, 855, 789, 849, 723, 547, 4308, 609, 454, 1492, 2842, 269, 1358, 1118, 1434, 829, 2583, 585, 32608, 543, 824, 2392, 2218, 454, 4754, 4878, 5161, 540, 513, 5394, 2208, 540, 7381, 4054, 799, 454, 322, 2194, 675, 1454, 540, 519, 7943, 269, 4256, 8371, 5905, 267, 741, 3762, 454, 572, 655, 547, 6445, 1169, 2230, 1141, 1769, 949, 2887, 269, 4256, 8371, 454, 321, 792, 10477, 5613, 269, 9210, 760, 1506, 5052, 630, 17852, 602, 834, 326, 992, 538, 2011, 5602, 704, 577, 593, 519, 8371, 607, 1134, 267, 543, 30676, 18214, 909, 689, 519, 4104, 454, 28776, 547, 3409, 513, 2671, 540, 519, 3141, 269, 3509, 540, 519, 2831, 2661, 538, 454, 1492, 24588, 267, 4189, 4829, 267, 5810, 267, 543, 3762, 269, 29133, 3548, 619, 979, 454, 3602, 519, 2030, 3548, 619, 616, 267, 543, 10352, 593, 519, 22171, 543, 10477, 454, 18346, 269, 24538, 338, 616, 10876, 269, 901, 851, 540, 519, 4764, 4104, 568, 454, 325, 2683, 609, 1272, 269, 898, 7028, 1272, 3029, 543, 2950, 454, 553, 519, 2627, 540, 519, 3618, 2356, 1281, 563, 763, 896, 32143, 5161, 540, 1507, 4054, 267, 19211, 267, 543, 454, 321, 16640, 269, 1452, 2371, 616, 9862, 547, 1970, 1769, 2157, 267, 543, 741, 454, 26171, 267, 13035, 3762, 7001, 607, 1454, 1769, 1648, 607, 789, 666, 563, 763, 19211, 1489, 30676, 267, 21263, 525, 267, 543, 17866, 27738, 267, 971, 454, 320, 20883, 267, 799, 2972, 519, 18519, 5790, 563, 763, 4104, 6989, 11392, 1152, 827, 476, 273, 260, 540, 519, 1769, 454, 7474, 8813, 5196, 519, 4054, 540, 519, 24588, 269, 1703, 616, 1906, 2371, 454, 6658, 1934, 538, 519, 1000, 559, 697, 269, 634, 6989, 568, 1396, 339, 1229, 609, 4666, 3762, 2676, 13512, 12127, 267, 2831, 543, 15468, 4829, 267, 782, 540, 799, 616, 1373, 2007, 6479, 454, 2421, 30190, 7786, 543, 824, 1033, 761, 643, 2803, 269, 589, 1906, 2831, 849, 454, 331, 633, 1934, 267, 1519, 3552, 14918, 269, 1358, 3548, 8726, 814, 15468, 454, 5228, 519, 3638, 2950, 1657, 873, 269, 1703, 568, 1100, 896, 20815, 454, 1721, 873, 547, 4308, 609, 267, 865, 2951, 538, 713, 3897, 1158, 568, 2653, 563, 5228, 513, 11759, 331, 7131, 268, 15375, 2433, 585, 13156, 1152, 267, 711, 585, 23842, 269, 2859, 454, 1960, 280, 269, 10906, 14732, 966, 807, 340, 543, 1200, 6132, 839, 832, 269, 2353, 454, 23412, 11603, 269, 901, 1570, 949, 581, 1031, 676, 2043, 585, 454, 13318, 2315, 531, 5301, 855, 711, 4421, 269, 7490, 1217, 519, 2278, 454, 604, 596, 946, 621, 693, 4757, 11333, 2593, 0, 7093, 13807, 8911, 568, 1305, 909, 610, 7041, 2838, 1354, 513, 3070, 568, 8045, 269, 13268, 532, 707, 12899, 568, 513, 840, 8410, 1288, 547, 4189, 12899, 269, 20780, 532, 707, 12899, 547, 1153, 568, 513, 840, 8410, 1288, 547, 4189, 707, 12899, 693, 1153, 269, 8298, 3101, 538, 568, 513, 840, 8410, 1288, 547, 10992, 707, 2228, 4871, 3666, 563, 7093, 268, 1718, 1431, 616, 2838, 1317, 1082, 3157, 2154, 2175, 547, 581, 13401, 269, 16393, 596, 3548, 707, 12899, 952, 596, 4769, 1405, 3640, 707, 12899, 286, 9701, 596, 581, 2111, 547, 2638, 1022, 4871, 3666, 1510, 19883, 538, 888, 2791, 1058, 581, 6998, 3054, 834, 6343, 2115, 547, 4755, 538, 1931, 585, 23099, 1862, 547, 4755, 834, 269, 901, 568, 513, 2259, 540, 3206, 596, 1058, 9772, 563, 306, 3481, 30389, 513, 5870, 568, 513, 5929, 1383, 540, 519, 2956, 543, 991, 540, 2789, 840, 268, 1718, 1431, 269, 769, 1931, 547, 723, 513, 5870, 609, 2576, 267, 649, 1522, 723, 519, 1739, 840, 268, 1718, 1431, 912, 268, 606, 2139, 1747, 547, 2743, 454, 268, 513, 942, 547, 2743, 454, 268, 8244, 540, 519, 1004, 547, 2743, 454, 268, 513, 1888, 610, 16786, 454, 2710, 596, 1174, 713, 888, 4322, 4441, 616, 1031, 689, 519, 25153, 8950, 3163, 13595, 6651, 454, 268, 10576, 17809, 728, 606, 2626, 689, 513, 1297, 540, 7399, 269, 25506, 543, 1533, 13713, 513, 23243, 1249, 610, 4183, 269, 840, 13807, 8911, 538, 513, 6700, 1966, 543, 3070, 454, 268, 11512, 24876, 513, 2143, 2272, 1519, 4128, 610, 3123, 269, 519, 991, 585, 840, 268, 1718, 1431, 950, 22589, 606, 5690, 454, 268, 25153, 24547, 5448, 19510, 8950, 2257, 3391, 630, 14140, 18362, 476, 1001, 275, 1040, 9315, 858, 267, 12986, 267, 2136, 8003, 281, 4139, 645, 3147, 8403, 675, 622, 9257, 269, 5130, 476, 1001, 273, 269, 0, 1475, 20245, 1686, 543, 519, 1977, 3162, 454, 20245, 1686, 543, 519, 1977, 3162, 563, 1475, 290, 1478, 282, 21009, 7170, 282, 7170, 282, 14645, 282, 667, 539, 1709, 282, 28132, 19006, 282, 700, 8780, 5508, 14889, 299, 19851, 6938, 16739, 282, 700, 8780, 5508, 590, 22432, 289, 12678, 282, 8028, 298, 301, 8582, 29612, 14875, 19006, 282, 28217, 293, 19781, 281, 6754, 631, 269, 4964, 569, 282, 21850, 29767, 281, 6754, 590, 269, 590, 13616, 634, 3778, 540, 11094, 543, 519, 11094, 540, 3778, 2059, 519, 11908, 11076, 282, 32516, 476, 272, 281, 6742, 589, 269, 26791, 11866, 267, 3798, 2471, 267, 543, 31248, 281, 634, 7025, 3778, 540, 519, 11908, 11076, 282, 32516, 476, 273, 281, 6424, 15049, 560, 7338, 12213, 3778, 540, 519, 11908, 11076, 281, 589, 7348, 689, 853, 269, 595, 1430, 1149, 6816, 282, 32516, 476, 274, 281, 590, 269, 7665, 3798, 15625, 10439, 1944, 519, 8828, 13571, 1512, 281, 14295, 2762, 543, 16690, 1436, 538, 20640, 7570, 31588, 1722, 11908, 454, 1475, 6224, 22790, 476, 275, 281, 3798, 6767, 700, 269, 29425, 5174, 331, 871, 8899, 12248, 787, 11511, 3421, 281, 26066, 11908, 543, 3162, 10491, 2037, 4921, 543, 519, 10435, 540, 519, 717, 31608, 2983, 1815, 31649, 6224, 22790, 476, 276, 281, 23621, 5984, 30683, 670, 13550, 539, 27347, 281, 12267, 540, 26913, 267, 26066, 26415, 338, 267, 543, 7025, 3117, 4109, 1145, 282, 32516, 476, 277, 281, 667, 4319, 589, 269, 4210, 753, 517, 589, 31898, 7595, 540, 22859, 514, 281, 22569, 1456, 543, 1234, 19960, 1456, 519, 11908, 11076, 282, 32516, 476, 278, 281, 15751, 717, 269, 10158, 7043, 29566, 25882, 267, 689, 11206, 547, 27438, 281, 13870, 267, 29283, 267, 543, 519, 12338, 1478, 593, 11908, 781, 26066, 30577, 267, 476, 5908, 276, 268, 5002, 271, 454, 1475, 6224, 22790, 476, 279, 281, 5261, 15196, 323, 4826, 1772, 585, 674, 18017, 3683, 281, 7433, 14708, 543, 519, 26647, 24327, 936, 16140, 4248, 538, 26066, 11908, 267, 476, 4350, 271, 338, 268, 1220, 273, 338, 6224, 22790, 476, 280, 281, 18332, 808, 269, 631, 836, 8643, 10314, 634, 7108, 9208, 281, 6129, 321, 3881, 7025, 1143, 543, 26066, 10466, 282, 32516, 476, 1015, 281, 3967, 23579, 14105, 834, 763, 20727, 4382, 26657, 5101, 268, 1189, 9899, 23281, 540, 9255, 538, 519, 9085, 540, 519, 11908, 11076, 282, 28132, 6020, 289, 7473, 27633, 282, 28960, 13052, 282, 589, 282, 645, 282, 595, 282, 667, 282, 661, 282, 674, 282, 717, 282, 670, 282, 594, 282, 808, 282, 918, 282, 700, 282, 631, 282, 715, 282, 744, 282, 623, 282, 1627, 282, 681, 282, 590, 282, 570, 282, 772, 282, 966, 282, 654, 282, 962, 454, 21270, 9560, 2762, 4063, 1475, 1103, 11079, 12190, 7240, 8100, 543, 4994, 269, 347, 0, 3528, 6424, 631, 5417, 523, 454, 2467, 814, 1044, 513, 2603, 540, 7521, 827, 519, 2360, 540, 6932, 4066, 899, 476, 274, 291, 8228, 593, 4853, 5663, 269, 1703, 616, 2872, 4966, 602, 1745, 899, 621, 786, 581, 26688, 267, 1247, 1866, 3494, 602, 519, 2029, 3884, 1406, 14323, 269, 12752, 20327, 1448, 2509, 1713, 2208, 538, 519, 2872, 936, 519, 1985, 2947, 1296, 267, 543, 18867, 267, 519, 1871, 540, 519, 2872, 568, 15810, 547, 1995, 513, 4028, 4473, 538, 519, 2104, 563, 4415, 519, 6024, 2208, 538, 519, 476, 274, 291, 8228, 2344, 543, 519, 6749, 538, 519, 1942, 540, 23252, 267, 1007, 15712, 538, 519, 2757, 6990, 616, 4397, 547, 4473, 609, 606, 2333, 538, 5499, 2472, 269, 5019, 8040, 585, 1007, 2472, 786, 849, 1831, 1447, 7294, 543, 513, 2603, 1447, 7199, 547, 1711, 563, 4913, 267, 1587, 1646, 543, 519, 2344, 1604, 616, 1175, 1079, 1761, 2360, 540, 713, 6932, 2029, 269, 476, 274, 291, 8228, 568, 1360, 2693, 547, 1860, 519, 1870, 2203, 540, 9755, 267, 2523, 950, 621, 2501, 547, 1587, 14499, 267, 519, 1942, 540, 2326, 543, 10198, 1899, 2994, 269, 6787, 596, 2461, 513, 1507, 1870, 610, 513, 1804, 18294, 267, 2921, 2038, 5413, 540, 713, 2029, 666, 581, 1360, 6225, 269, 1924, 1934, 616, 930, 540, 519, 2081, 476, 274, 291, 8228, 666, 581, 1031, 538, 707, 5663, 1184, 563, 274, 291, 8228, 814, 5912, 539, 689, 1486, 19685, 883, 1101, 24507, 2504, 269, 901, 2636, 585, 1587, 30384, 547, 581, 5963, 7318, 538, 519, 2344, 543, 585, 1587, 5918, 4124, 547, 581, 1500, 6385, 563, 2690, 1383, 267, 513, 1286, 2754, 1522, 723, 547, 1711, 513, 6216, 1007, 9044, 547, 1449, 513, 18634, 585, 513, 1007, 2599, 269, 901, 1184, 1223, 1491, 3275, 543, 1942, 7366, 540, 5215, 540, 9489, 269, 2060, 476, 274, 291, 8228, 267, 891, 28633, 666, 581, 9102, 585, 513, 1507, 6824, 540, 519, 1942, 543, 538, 513, 2603, 1447, 942, 563, 4415, 519, 10148, 540, 519, 2025, 4853, 1184, 1631, 24850, 267, 8030, 616, 2111, 547, 2263, 1082, 7648, 540, 741, 30384, 543, 22759, 3585, 1449, 873, 1247, 1818, 9283, 593, 741, 2773, 269, 634, 8441, 538, 476, 274, 291, 8228, 786, 1267, 538, 519, 20747, 2590, 540, 519, 3515, 1063, 2472, 543, 30384, 563, 9359, 5725, 543, 1507, 4213, 1796, 547, 2744, 519, 1034, 689, 713, 6932, 2029, 607, 789, 616, 2111, 547, 6338, 5499, 2472, 1510, 1651, 584, 2590, 519, 5230, 3790, 2404, 609, 13936, 11891, 269, 13038, 8747, 540, 7082, 5370, 543, 1256, 4853, 2694, 666, 581, 7318, 1318, 2476, 538, 519, 19458, 269, 901, 2186, 540, 589, 20324, 4152, 267, 799, 568, 1360, 1455, 538, 519, 1158, 540, 3301, 267, 666, 1631, 581, 2944, 609, 8800, 543, 2168, 2472, 563, 2690, 5176, 476, 736, 1296, 267, 476, 274, 291, 8228, 814, 1044, 1031, 547, 1711, 3169, 18187, 553, 540, 1007, 1587, 6272, 269, 901, 1184, 729, 5219, 547, 607, 4028, 1486, 19685, 269, 1717, 267, 7429, 922, 2012, 267, 519, 1184, 18387, 1406, 1044, 4028, 269, 476, 274, 291, 8228, 3028, 7426, 666, 1491, 1134, 936, 513, 3018, 547, 5838, 513, 2582, 18634, 563, 4913, 267, 2487, 23484, 538, 12957, 267, 2059, 609, 519, 1967, 540, 2518, 3892, 3549, 267, 723, 4625, 4957, 519, 2872, 540, 1486, 19685, 269, 15733, 602, 1131, 2154, 936, 513, 3923, 547, 979, 998, 1896, 1374, 9979, 538, 519, 1486, 19685, 5123, 666, 1631, 798, 519, 1482, 538, 607, 2370, 607, 513, 3018, 269, 9182, 267, 2472, 616, 8757, 519, 2344, 513, 2603, 18334, 267, 609, 3549, 9494, 513, 1713, 2179, 540, 942, 543, 2724, 563, 1103, 2527, 29356, 267, 1804, 9424, 540, 606, 6221, 616, 3812, 269, 1717, 267, 1142, 6221, 666, 581, 16419, 563, 2304, 4277, 3498, 540, 713, 1523, 568, 538, 519, 2564, 2361, 269, 4653, 267, 952, 513, 3461, 2115, 547, 723, 513, 12597, 10682, 267, 741, 19704, 666, 581, 1085, 10165, 267, 543, 513, 3501, 18187, 320, 568, 9102, 543, 4712, 585, 519, 3461, 6619, 540, 519, 10551, 5650, 269, 769, 519, 2250, 267, 2705, 267, 952, 513, 3461, 2877, 547, 723, 513, 12597, 10682, 5650, 267, 513, 12016, 1131, 723, 547, 3142, 513, 4216, 883, 519, 5665, 4055, 267, 543, 519, 4387, 1131, 3313, 799, 540, 519, 2009, 12597, 6272, 729, 1034, 2147, 547, 707, 12597, 563, 1103, 519, 5959, 2872, 267, 769, 6665, 7955, 814, 849, 1044, 1360, 3811, 609, 1210, 476, 274, 291, 8228, 547, 21160, 519, 4522, 12972, 3457, 602, 789, 3132, 269, 1306, 513, 1870, 8227, 267, 29356, 1223, 581, 513, 1390, 4183, 547, 1039, 547, 707, 2472, 267, 543, 602, 568, 7357, 2009, 609, 519, 476, 274, 291, 8228, 2029, 2139, 2221 ]

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

[ 325, 5407, 585, 10122, 454, 268, 7454, 8955, 2039, 325, 5407, 1279, 2039, 15246 ]

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

[ 0, 1432, 1281, 25453, 798, 547, 519, 7083, 540, 519, 4469, 625, 888, 3891, 588, 3518, 956, 2066, 519, 30889, 779, 2212, 267, 519, 7083, 540, 519, 4469, 625, 267, 1631, 8806, 513, 575, 548, 5446, 3043, 15693, 32737, 3043, 607, 519, 598, 577, 7387, 267, 646, 4967, 269, 4911, 787, 543, 29832, 755, 539, 267, 25453, 5679, 4169, 519, 15693, 547, 519, 2666, 543, 3217, 519, 7196, 621, 729, 791, 4705, 593, 547, 946, 607, 513, 14049, 1996, 10793, 563, 1432, 4523, 538, 519, 2063, 3184, 540, 7083, 540, 519, 4469, 625, 888, 1103, 519, 3803, 3817, 540, 7083, 540, 519, 4469, 625, 2073, 25453, 8255, 998, 519, 26570, 7904, 4370, 1312, 10793, 543, 1010, 3640, 540, 5260, 720, 8695, 543, 519, 3595, 10793, 1305, 593, 519, 7823, 269, 25453, 19674, 5196, 519, 11824, 543, 568, 4362, 676, 513, 3703, 25220, 11464, 945, 814, 2097, 11849, 648, 1310, 7487, 519, 8781, 6532, 689, 1010, 6928, 563, 8005, 15068, 7083, 540, 519, 4469, 625, 888, 763, 1152, 15000, 616, 8695, 538, 741, 1647, 6689, 610, 840, 611, 3421, 12412, 269, 5565, 8695, 9789, 4023, 3620, 8529, 25453, 543, 606, 14968, 267, 14850, 1051, 659, 1194, 7911, 12183, 24887, 968, 303, 580, 4445, 892, 1765, 22772, 513, 598, 577, 267, 799, 25453, 3096, 607, 513, 18057, 547, 7036, 324, 782, 519, 15000, 547, 835, 1858, 563, 8489, 1281, 25453, 2661, 538, 7083, 540, 519, 4469, 625, 888, 347, 19613, 538, 3883, 1475, 763, 6816, 2008, 9989, 25453, 1831, 513, 5260, 720, 888, 3891, 849, 7919, 547, 6336, 1010, 26069, 543, 1582, 1852, 269, 25453, 3587, 5260, 720, 1310, 3025, 814, 8678, 808, 2931, 1007, 14316, 269, 1261, 814, 2141, 1044, 5260, 720, 1317, 3025, 814, 5260, 698, 2044, 538, 873, 269, 1261, 5963, 2982, 1010, 5260, 720, 2427, 950, 646, 23689, 17363, 563, 1432, 729, 3184, 476, 276, 827, 538, 7083, 540, 519, 4469, 625, 888, 1103, 713, 3184, 267, 519, 4250, 540, 519, 28458, 6368, 1011, 3941, 267, 8297, 1456, 25453, 779, 3801, 547, 11177, 1931, 547, 519, 6532, 543, 10511, 23550, 519, 3803, 8237, 1063, 25453, 543, 10793, 269, 2311, 713, 1448, 267, 621, 3788, 7334, 2436, 610, 711, 519, 28458, 2965, 6818, 563, 1432, 5949, 538, 7083, 540, 519, 4469, 625, 3184, 476, 276, 888, 8005, 5747, 7083, 540, 519, 4469, 625, 888, 1103, 5261, 7108, 532, 779, 7083, 540, 519, 4469, 625, 267, 519, 1915, 540, 17363, 568, 849, 2322, 547, 2669, 1247, 3843, 547, 3262, 1702, 547, 519, 824, 8695, 593, 519, 6532, 269, 3571, 2669, 568, 6209, 1317, 621, 7125, 3007, 547, 1082, 540, 519, 12572, 6835, 538, 519, 1433, 269, 0, 1692, 938, 960, 5222, 5726, 2066, 4516, 563, 8489, 649, 2461, 2324, 593, 519, 2666, 689, 5032, 547, 5032, 563, 2171, 991, 707, 948, 547, 2149, 938, 1216, 267, 7320, 267, 543, 19126, 269, 3371, 779, 875, 596, 666, 1118, 606, 1764, 563, 289, 8674, 543, 6177, 5349, 7129, 786, 4324, 689, 7226, 9283, 538, 4432, 6265, 6019, 454, 14976, 6265, 6019, 267, 13115, 269, 630, 20464, 476, 1001, 280, 264, 2443, 13724, 906, 693, 513, 2442, 7320, 13156, 3135, 267, 5087, 540, 8235, 661, 4471, 267, 616, 4397, 547, 4482, 811, 27436, 5017, 267, 2523, 13272, 18346, 267, 1985, 5614, 563, 763, 589, 2643, 1067, 13812, 5004, 9351, 630, 310, 7246, 264, 729, 9927, 689, 513, 2622, 2782, 4083, 2011, 7615, 547, 7320, 7226, 267, 1310, 1373, 12349, 676, 519, 19435, 540, 14411, 538, 519, 476, 3422, 271, 338, 269, 898, 568, 1631, 11280, 607, 606, 12830, 16819, 9351, 267, 19788, 2249, 899, 512, 1495, 571, 2220, 753, 676, 519, 5215, 563, 1103, 476, 1001, 279, 267, 519, 589, 2643, 1067, 654, 7246, 9249, 941, 8476, 1586, 563, 28317, 2603, 4682, 593, 1934, 538, 519, 19126, 713, 1032, 2223, 3081, 11518, 918, 516, 974, 267, 5726, 11285, 609, 667, 15085, 1133, 15905, 4516, 630, 23604, 1040, 968, 23604, 6192, 513, 25580, 1788, 585, 835, 26868, 543, 972, 616, 3670, 14143, 540, 1007, 19126, 547, 4482, 1256, 811, 1216, 325, 25717, 543, 13272, 18346, 547, 713, 7320, 522, 12118, 3034, 763, 25580, 3576, 1747, 538, 519, 26868, 1591, 1634, 607, 570, 1495, 571, 623, 1180, 267, 547, 29915, 622, 2030, 2208, 543, 7816, 1216, 1852, 3889, 543, 10085, 7719, 602, 4383, 519, 1216, 2157, 267, 2095, 543, 12802, 269, 898, 729, 6192, 676, 17303, 9427, 519, 1216, 630, 4385, 607, 513, 2721, 6658, 264, 543, 8795, 519, 3178, 540, 519, 16935, 547, 1732, 1489, 1114, 12748, 2371, 30147, 538, 2490, 267, 1732, 1489, 1114, 7320, 2249, 563, 14071, 616, 9599, 827, 519, 7226, 9283, 543, 23937, 1317, 649, 18783, 2799, 9265, 543, 7320, 13156, 3255, 585, 519, 2146, 2223, 3081, 27050, 16629, 1512, 267, 9614, 585, 519, 4432, 6265, 19731, 13734, 7027, 630, 2464, 290, 1916, 763, 3670, 14143, 630, 273, 269, 275, 25614, 264, 540, 1007, 19126, 267, 1572, 6292, 22253, 267, 786, 1683, 5614, 9960, 7226, 585, 1216, 325, 25717, 543, 13272, 18346, 269, 1452, 22253, 941, 2966, 676, 667, 10813, 543, 4070, 729, 13327, 523, 676, 11536, 290, 563, 1103, 1840, 547, 19788, 7320, 267, 519, 19126, 616, 2966, 547, 7001, 543, 6882, 2627, 1216, 1354, 621, 7575, 19654, 547, 8235, 661, 4471, 269, 901, 11808, 1788, 568, 851, 540, 513, 3677, 4674, 547, 2087, 1216, 2298, 538, 519, 8235, 661, 4471, 24659, 563, 5723, 27345, 589, 312, 299, 300, 2207, 654, 7246, 454, 763, 476, 24783, 14092, 516, 630, 15389, 13463, 551, 732, 264, 1857, 3959, 2882, 827, 476, 3199, 14143, 630, 3953, 25614, 264, 540, 7320, 7226, 267, 1519, 476, 2004, 14143, 630, 736, 25614, 264, 540, 19126, 267, 513, 476, 1691, 14092, 516, 630, 277, 13463, 551, 732, 264, 7381, 24124, 31403, 267, 7693, 4610, 267, 803, 20760, 543, 1585, 5065, 3529, 543, 21906, 2030, 902, 269, 4706, 11432, 1950, 568, 11280, 607, 513, 21621, 569, 1713, 26868, 563, 763, 3135, 2934, 1857, 18162, 998, 6404, 7226, 609, 2185, 21825, 5116, 13156, 6763, 267, 835, 540, 799, 568, 30523, 3015, 563, 31306, 4566, 1331, 4824, 3542, 13541, 7226, 543, 513, 1007, 15259, 2181, 344, 21224, 3760, 269, 769, 476, 1708, 271, 267, 519, 4130, 26868, 1591, 1634, 607, 4173, 517, 623, 1180, 568, 1793, 730, 585, 513, 968, 9526, 6658, 892, 547, 7520, 18203, 543, 7226, 6454, 563, 763, 3135, 568, 13950, 676, 519, 12080, 540, 7849, 8249, 543, 32645, 630, 300, 24520, 293, 264, 543, 3232, 4238, 616, 7307, 676, 11536, 290, 998, 513, 11450, 6876, 609, 519, 631, 24520, 293, 269, 11536, 290, 13538, 616, 3743, 585, 519, 7320, 7226, 267, 18162, 267, 3889, 543, 3292, 693, 519, 3135, 267, 1519, 3574, 21868, 543, 4544, 12704, 5464, 267, 21868, 6512, 532, 543, 512, 1495, 571, 2220, 534, 7664, 563, 2690, 519, 2250, 476, 736, 1296, 267, 667, 10813, 814, 7307, 519, 19126, 267, 1634, 607, 570, 1495, 571, 623, 1180, 543, 4173, 517, 623, 1180, 563, 5723, 27345, 667, 10813, 16775, 6167, 299, 8379, 3951, 3633, 11404, 2793, 6395, 454, 291, 15085, 1133, 15905, 4516, 630, 23604, 264, 568, 519, 3084, 6205, 538, 26868, 5726, 269, 589, 10805, 17493, 267, 667, 10813, 4891, 609, 2229, 267, 2872, 267, 1875, 17416, 3906, 543, 2244, 14935, 547, 18359, 19126, 602, 616, 2565, 547, 1216, 325, 25717, 267, 7320, 543, 1004, 563, 22998, 609, 519, 631, 24520, 293, 267, 667, 10813, 779, 2319, 538, 14411, 568, 12419, 1804, 8397, 26868, 5726, 607, 513, 2067, 5989, 3070, 547, 11761, 543, 4430, 2627, 1216, 2196, 11325, 269, 4595, 476, 1001, 278, 267, 667, 10813, 543, 922, 4891, 723, 9447, 811, 982, 476, 1911, 3785, 896, 519, 8235, 661, 4471, 27347, 1117, 22911, 1633, 19541, 547, 7001, 16903, 543, 824, 5567, 538, 19126, 602, 6882, 2627, 1216, 1354, 621, 12599, 19654, 563, 5723, 27345, 20700, 294, 2562, 5254, 11246, 2752, 9169, 295, 7709, 2910, 7419, 5746, 299, 454, 14976, 6265, 19731, 13734, 7027, 779, 6662, 568, 547, 3406, 856, 267, 20006, 543, 936, 5408, 3785, 267, 971, 607, 19126, 267, 7381, 24124, 31403, 267, 543, 5065, 3529, 543, 21906, 9544, 267, 676, 1818, 2139, 968, 332, 10248, 7482, 892, 547, 4163, 856, 7341, 6462, 676, 519, 7027, 269, 634, 15321, 8274, 540, 6034, 832, 568, 1500, 909, 540, 476, 1691, 7264, 540, 4432, 6265, 6019, 267, 693, 2547, 3368, 540, 7247, 1590, 581, 6917, 2244, 14935, 269, 16840, 2099, 6917, 2244, 14935, 543, 2146, 543, 1875, 3766, 17922, 2516, 269, 20180, 832, 547, 519, 7027, 616, 6537, 689, 631, 24520, 293, 543, 519, 2199, 11094, 8191, 885, 563, 291, 15085, 1133, 15905, 4516, 454, 291, 15085, 1133, 15905, 4516, 454, 23175, 540, 18058, 1299, 4934, 18943, 8081, 454, 17490, 281, 476, 3583, 276, 268, 278, 2641, 268, 29900, 275, 1535, 13301, 0, 763, 2910, 7419, 2316, 293, 1599, 568, 1031, 14916, 547, 1293, 2418, 1759, 593, 7355, 269, 4635, 3552, 11568, 538, 519, 7355, 2306, 519, 4542, 811, 6422, 269, 10251, 267, 3006, 621, 949, 3100, 602, 519, 9185, 2910, 7419, 2316, 293, 4542, 609, 3552, 15258, 568, 711, 2324, 607, 4397, 269, 769, 713, 2376, 267, 649, 786, 5031, 930, 540, 519, 2009, 4128, 585, 713, 543, 519, 3435, 547, 4368, 1346, 2152, 563, 12606, 6657, 4518, 1504, 454, 2791, 666, 4647, 519, 2259, 23519, 689, 519, 4647, 7735, 2630, 563, 1692, 547, 2422, 2910, 7419, 2316, 293, 9577, 609, 8187, 15258, 538, 9185, 454, 1103, 713, 3296, 267, 649, 786, 5031, 875, 547, 946, 3552, 11568, 538, 519, 7355, 4661, 540, 519, 2910, 7419, 2316, 293, 1599, 563, 268, 17616, 267, 596, 666, 946, 14531, 529, 802, 28949, 264, 20583, 609, 5595, 10530, 547, 1293, 5931, 2418, 1152, 454, 268, 19627, 267, 596, 666, 946, 3152, 982, 1107, 1447, 982, 609, 14531, 529, 802, 547, 1293, 2338, 1152, 563, 268, 12059, 569, 267, 596, 666, 946, 930, 3197, 1354, 14531, 529, 802, 547, 1293, 2418, 602, 1376, 609, 1346, 3197, 563, 268, 12059, 569, 267, 596, 666, 946, 930, 3197, 1310, 14531, 529, 802, 547, 1293, 2418, 602, 1439, 609, 1346, 3197, 563, 268, 25004, 569, 267, 596, 666, 946, 14531, 529, 802, 1354, 543, 1310, 1022, 1257, 547, 1293, 2418, 5627, 519, 1257, 563, 268, 14520, 628, 569, 267, 596, 666, 946, 2243, 7436, 263, 24047, 547, 1293, 2418, 609, 1022, 3197, 538, 519, 9138, 7158, 563, 268, 1530, 22770, 569, 267, 596, 666, 946, 513, 512, 32499, 263, 349, 264, 547, 1293, 2418, 609, 824, 3552, 11568, 269, 1280, 1383, 267, 1210, 968, 265, 349, 286, 265, 892, 786, 2285, 519, 1293, 540, 2418, 5627, 2243, 7436, 263, 286, 1916, 275, 30258, 543, 25792, 10298, 1403, 2910, 7419, 2316, 293, 9577, 609, 8187, 15258, 1772, 3502, 11554, 538, 9185, 454, 2080, 649, 786, 5031, 476, 274, 2009, 4128, 543, 3435, 585, 519, 2910, 7419, 2316, 293, 4542, 609, 3552, 15258, 711, 2324, 538, 9185, 269, 1924, 1577, 779, 1376, 2336, 272, 269, 2910, 7419, 2316, 293, 9577, 609, 8187, 15258, 1772, 3502, 11554, 538, 8865, 540, 8426, 13129, 454, 13706, 519, 1739, 2910, 7419, 2316, 293, 4542, 13059, 476, 271, 3079, 540, 476, 276, 563, 268, 634, 4542, 3568, 14531, 529, 802, 30916, 264, 607, 3552, 11568, 547, 1293, 519, 12805, 9115, 26518, 676, 1591, 667, 276, 269, 3371, 267, 519, 2910, 7419, 2316, 293, 1599, 1281, 711, 2015, 667, 276, 1031, 538, 519, 7355, 4661, 607, 513, 1591, 4704, 855, 2864, 607, 1257, 269, 5221, 519, 1591, 4704, 568, 20583, 609, 5595, 10530, 269, 2334, 779, 1946, 519, 2910, 7419, 2316, 293, 1599, 568, 3168, 585, 5931, 5627, 667, 276, 3079, 540, 519, 9115, 540, 1591, 667, 276, 269, 1306, 513, 1267, 267, 621, 7024, 476, 271, 563, 268, 1411, 666, 12189, 519, 4542, 547, 4368, 519, 3390, 1210, 519, 993, 11825, 663, 630, 261, 264, 3090, 607, 5205, 865, 602, 519, 1591, 4704, 568, 3544, 5595, 10530, 269, 3973, 519, 2910, 7419, 2316, 293, 4542, 786, 2132, 519, 4977, 1267, 563, 5649, 2859, 281, 2910, 7419, 2316, 293, 9185, 7151, 630, 2420, 6201, 994, 273, 269, 2910, 7419, 2316, 293, 9577, 609, 8187, 15258, 1772, 3502, 11554, 585, 31157, 454, 3086, 2015, 519, 1739, 2910, 7419, 2316, 293, 4542, 13059, 476, 271, 3079, 540, 476, 275, 563, 268, 634, 4542, 5654, 585, 519, 3197, 590, 289, 693, 519, 4098, 540, 519, 5931, 269, 3371, 267, 519, 1966, 568, 602, 519, 9583, 12805, 5931, 2270, 3056, 5624, 563, 268, 1411, 991, 547, 4894, 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 ]

[ 675, 454, 7197, 21407, 569, 707, 1699, 1072, 1416, 19995, 786, 4166, 1831, 32448, 609, 519, 2126, 585, 707, 1808, 1102, 3305, 640, 543, 948, 596, 1394, 547, 15028, 1072, 563, 302, 4614, 18576, 2052, 2142, 6970, 4310, 1635, 454, 22818, 1223, 713, 581, 513, 14196, 281, 1548, 1772, 27777, 18576, 6970, 4310, 1635, 888, 1432, 1772, 27777, 18576, 6970, 4310, 1635, 568, 513, 4749, 7074, 3390, 676, 2601, 540, 519, 1448, 602, 621, 568, 540, 6161, 950, 11341, 547, 27777, 18576, 23369, 1656, 9615, 267, 27777, 18576, 10791, 9615, 267, 543, 27777, 18576, 5253, 9615, 563, 268, 769, 27777, 18576, 634, 645, 2158, 3657, 9941, 1656, 31808, 5221, 568, 513, 7928, 2783, 5693, 1317, 621, 568, 2629, 950, 14719, 908, 769, 915, 762, 9615, 1280, 27777, 18576, 267, 2271, 571, 27281, 9615, 1280, 27777, 18576, 267, 543, 1772, 1703, 589, 595, 675, 1280, 27777, 18576, 563, 268, 1772, 1703, 9615, 1280, 24942, 9435, 568, 513, 28125, 1416, 1813, 547, 519, 1249, 602, 621, 568, 540, 6161, 950, 6236, 19768, 2986, 901, 25115, 2052, 20531, 27777, 18576, 267, 26257, 9615, 1280, 27777, 18576, 267, 543, 26257, 9615, 1280, 27777, 18576, 476, 1001, 276, 563, 268, 31327, 20531, 2986, 27777, 18576, 568, 513, 2356, 4857, 16785, 585, 519, 2601, 602, 621, 568, 540, 1719, 950, 10442, 8899, 24942, 7136, 9615, 267, 8899, 24942, 25115, 25670, 9615, 267, 543, 6301, 20531, 2986, 27777, 18576, 563, 32701, 267, 519, 8716, 1344, 568, 602, 596, 666, 26699, 1256, 891, 27636, 3676, 1510, 759, 15659, 547, 19408, 11955, 269, 3509, 1004, 616, 711, 5432, 609, 713, 1249, 563, 1432, 1772, 27777, 18576, 6970, 4310, 1635, 267, 20010, 9615, 1280, 27777, 18576, 267, 20010, 18467, 1677, 6164, 27777, 18576, 267, 1488, 9374, 769, 1323, 330, 548, 5851, 9615, 267, 1488, 9374, 918, 26234, 10266, 9615, 2311, 5851, 267, 1488, 9374, 9615, 267, 1488, 9374, 9615, 2311, 5851, 267, 25072, 545, 24942, 9615, 267, 25072, 545, 6925, 1280, 27777, 18576, 9615, 267, 25072, 545, 9615, 1280, 27777, 24763, 769, 29242, 267, 25072, 545, 9615, 1280, 27777, 18576, 267, 7454, 20010, 9615, 27777, 18576, 0, 13729, 887, 3455, 1014, 1557, 3732, 519, 19114, 540, 707, 1957, 15986, 3898, 538, 1557, 547, 835, 10759, 593, 1142, 2427, 269, 4116, 476, 272, 476, 274, 476, 273, 476, 272, 5070, 1513, 267, 1566, 269, 4734, 476, 272, 10759, 19114, 16643, 1557, 7291, 10959, 593, 519, 1283, 267, 5377, 267, 543, 1142, 2427, 11160, 476, 1321, 267, 476, 1708, 271, 5788, 4945, 593, 519, 2890, 7809, 2262, 12835, 593, 519, 2780, 5496, 15986, 3898, 538, 1557, 1310, 2890, 7809, 2262, 1557, 3898, 585, 2852, 13907, 267, 4945, 593, 968, 8971, 892, 693, 519, 1283, 540, 519, 5496, 543, 1287, 593, 968, 1706, 4588, 892, 538, 519, 968, 1706, 4588, 892, 4216, 267, 4945, 30141, 6906, 1985, 547, 968, 1467, 19437, 892, 543, 1287, 4945, 593, 968, 29602, 892, 689, 519, 1382, 1957, 1383, 1164, 1153, 6749, 1524, 4945, 593, 968, 1613, 892, 693, 1283, 540, 269, 1985, 267, 952, 513, 2985, 1297, 568, 2139, 267, 1826, 519, 2985, 1297, 844, 7627, 513, 1433, 538, 513, 1957, 538, 3486, 1870, 3992, 4566, 24324, 693, 519, 1439, 540, 519, 4845, 269, 621, 568, 689, 519, 476, 277, 628, 7160, 267, 711, 519, 476, 278, 628, 269, 546, 10005, 11360, 518, 630, 321, 10667, 281, 513, 15986, 3898, 538, 1557, 5127, 5112, 23995, 269, 1434, 2852, 12819, 1557, 3584, 585, 513, 13973, 540, 2565, 1557, 1806, 7824, 713, 3381, 267, 726, 2278, 281, 519, 4266, 568, 1034, 4122, 269, 1210, 5515, 538, 15986, 3898, 269, 694, 335, 476, 1789, 267, 476, 1708, 271, 5788, 15986, 19696, 3898, 1557, 585, 695, 328, 802, 3873, 25697, 6995, 1870, 1544, 12103, 1002, 9366, 1557, 538, 31448, 28957, 269, 0, 18154, 25248, 264, 589, 2316, 4211, 2174, 29774, 2657, 2999, 6637, 476, 274, 285, 2999, 26322, 15369, 1299, 5851, 5516, 540, 519, 16989, 1849, 1304, 11417, 17843, 5573, 2146, 2861, 1416, 689, 2146, 1072, 1416, 563, 28097, 5697, 2188, 7133, 1072, 538, 519, 2146, 563, 27855, 2533, 543, 5468, 585, 3782, 6800, 8391, 2146, 2861, 543, 1753, 1416, 563, 27855, 519, 3334, 540, 519, 1753, 3782, 1062, 267, 1519, 8041, 267, 7218, 267, 3277, 23552, 267, 13500, 267, 32158, 9309, 618, 267, 3656, 9270, 267, 543, 8808, 1416, 563, 24718, 543, 4334, 519, 5107, 540, 519, 12016, 3246, 1753, 1416, 609, 519, 5107, 540, 519, 12016, 538, 2564, 1606, 17790, 8808, 5941, 538, 3848, 476, 272, 563, 23737, 519, 3483, 540, 14317, 538, 3782, 563, 17809, 728, 7817, 1416, 538, 2146, 2861, 5468, 543, 519, 1753, 563, 7343, 569, 519, 8808, 1184, 547, 1416, 540, 519, 7817, 538, 519, 1753, 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 ]

[ 281, 1723, 10869, 1565, 267, 18273, 269, 0, 20597, 760, 547, 6301, 12474, 454, 2005, 5654, 899, 596, 2811, 1210, 5769, 25817, 476, 1556, 610, 4587, 269, 901, 3896, 1568, 1655, 609, 2413, 26292, 971, 607, 519, 5767, 8747, 540, 24904, 267, 32288, 2135, 267, 6380, 926, 267, 543, 22750, 269, 1403, 596, 3136, 609, 713, 11422, 267, 596, 949, 1294, 6397, 2164, 563, 26183, 476, 273, 281, 4197, 9537, 540, 6176, 454, 763, 2875, 786, 581, 2111, 547, 2824, 3617, 2200, 585, 1382, 267, 1519, 519, 14046, 5288, 269, 2442, 11984, 563, 268, 5903, 1614, 1919, 596, 1413, 585, 538, 14045, 952, 513, 2707, 568, 1434, 2614, 585, 513, 2852, 1377, 1957, 563, 268, 10426, 856, 2110, 32461, 689, 513, 3099, 540, 2959, 543, 723, 1053, 7584, 1142, 607, 834, 338, 3273, 8765, 257, 610, 834, 16647, 983, 257, 630, 22056, 3561, 994, 268, 8745, 602, 11239, 281, 4841, 6430, 1018, 1826, 540, 2707, 630, 1504, 267, 2376, 267, 3896, 1862, 264, 568, 11855, 269, 2052, 946, 15724, 5272, 3602, 585, 14327, 269, 630, 8620, 3561, 734, 338, 2217, 14327, 994, 26524, 585, 4841, 454, 8196, 538, 1362, 610, 3842, 15724, 9336, 3602, 454, 268, 1548, 616, 930, 2959, 596, 1031, 538, 1164, 1153, 547, 2328, 4574, 888, 268, 1548, 1131, 596, 946, 547, 1265, 1344, 593, 707, 1888, 888, 268, 1215, 798, 596, 6430, 952, 513, 2707, 568, 1434, 2614, 585, 513, 2852, 1377, 1957, 888, 268, 1548, 568, 513, 14046, 2707, 286, 15080, 2854, 676, 5640, 610, 4648, 538, 519, 2361, 267, 585, 5640, 267, 2143, 267, 2930, 267, 3568, 8100, 11486, 9560, 13132, 267, 3092, 563, 268, 1548, 568, 513, 9263, 24595, 4760, 286, 25398, 24595, 13746, 2154, 602, 4930, 616, 1224, 543, 11117, 676, 4966, 538, 519, 2361, 1354, 789, 616, 7608, 585, 8313, 563, 299, 633, 15724, 4534, 6904, 835, 540, 519, 1739, 568, 519, 4760, 2376, 888, 1432, 1772, 589, 7647, 8765, 9137, 630, 274, 281, 1015, 994, 15675, 532, 17796, 630, 1607, 568, 513, 2776, 17844, 267, 711, 513, 3381, 14386, 0, 305, 664, 1689, 6405, 454, 1103, 9456, 5333, 267, 14704, 4569, 32499, 717, 1638, 7596, 814, 4988, 513, 4884, 4009, 609, 1200, 6405, 5137, 267, 1572, 8402, 269, 634, 8798, 568, 513, 1826, 540, 6405, 602, 2242, 7990, 950, 621, 3587, 5848, 1813, 547, 513, 2027, 15098, 593, 519, 1570, 779, 2627, 563, 2691, 6404, 609, 1776, 6405, 602, 19330, 519, 15098, 267, 519, 3017, 3587, 7298, 269, 1306, 1216, 568, 23953, 936, 519, 17981, 267, 610, 950, 519, 4365, 7140, 6632, 267, 519, 22862, 6405, 4158, 839, 563, 763, 14704, 3773, 513, 12166, 267, 512, 525, 8688, 566, 799, 21810, 519, 1857, 2230, 4625, 563, 763, 3169, 5888, 540, 519, 1570, 568, 1373, 6854, 896, 12109, 1186, 267, 585, 6654, 4128, 269, 1717, 267, 713, 2856, 568, 2147, 547, 519, 2048, 306, 13521, 17826, 685, 1523, 267, 693, 2547, 538, 11056, 269, 634, 1505, 1031, 676, 891, 9858, 568, 849, 28106, 563, 297, 644, 3101, 676, 519, 1267, 267, 538, 799, 519, 6405, 4158, 839, 547, 513, 2147, 27280, 950, 621, 3587, 6632, 267, 519, 1505, 1031, 547, 3132, 519, 6405, 1590, 581, 2147, 563, 3086, 649, 2461, 2731, 3478, 8049, 607, 547, 1018, 3116, 568, 2009, 538, 6405, 269, 2051, 712, 19145, 9160, 267, 4896, 888, 5649, 811, 827, 20348, 17826, 1934, 563, 8072, 299, 537, 529, 685, 9623, 543, 2592, 3842, 519, 14704, 267, 4569, 32499, 717, 1638, 7596, 269, 0, 3963, 968, 299, 525, 16700, 2946, 4599, 956, 5608, 8841, 18018, 334, 779, 29980, 23397, 267, 1772, 12830, 3767, 454, 309, 1112, 528, 18018, 334, 5206, 15776, 16700, 2946, 4599, 956, 547, 1118, 2631, 540, 1272, 5030, 1282, 513, 2352, 942, 563, 309, 1112, 528, 18018, 334, 729, 851, 540, 513, 5108, 538, 476, 866, 628, 5333, 4171, 2729, 941, 10599, 1229, 676, 8954, 633, 6214, 267, 26688, 2029, 267, 543, 513, 14686, 6855, 269, 18018, 334, 779, 5784, 593, 13889, 543, 519, 1480, 3068, 540, 3356, 616, 607, 4143, 547, 721, 2221, 607, 789, 941, 1287, 563, 309, 1112, 528, 18018, 334, 3357, 540, 2085, 1282, 513, 1974, 950, 5333, 729, 12199, 676, 606, 2895, 15926, 969, 894, 21257, 602, 729, 8247, 593, 7432, 1394, 519, 9219, 676, 476, 1789, 1296, 269, 634, 21257, 4941, 547, 11177, 5333, 547, 513, 11344, 2085, 602, 11478, 1354, 519, 3943, 7169, 540, 476, 9965, 280, 269, 2334, 4838, 543, 519, 5756, 540, 3540, 19727, 543, 2112, 602, 4553, 621, 7184, 10077, 1042, 3943, 2486, 269, 634, 1514, 12490, 540, 602, 942, 5258, 18018, 334, 779, 1920, 267, 543, 646, 8057, 909, 538, 513, 7745, 1753, 563, 1103, 476, 8146, 271, 267, 513, 2034, 4838, 22314, 5333, 2899, 1586, 269, 18018, 334, 267, 1631, 513, 4651, 540, 1762, 1453, 267, 729, 16207, 883, 513, 1007, 1158, 269, 18641, 267, 646, 15354, 593, 1010, 3952, 267, 855, 1079, 1296, 2663, 513, 14686, 1007, 2068, 267, 26601, 5028, 267, 9505, 1524, 8303, 269, 634, 15435, 28520, 513, 10792, 1769, 593, 519, 31716, 540, 3943, 2486, 267, 543, 621, 18617, 1082, 602, 1919, 1223, 2760, 581, 519, 1482, 563, 763, 1739, 5756, 941, 513, 1974, 540, 1514, 19727, 9141, 538, 1804, 851, 676, 6639, 2242, 4547, 593, 676, 519, 4853, 4838, 269, 18018, 334, 25577, 538, 1010, 960, 269, 1261, 9782, 547, 1831, 5333, 779, 840, 655, 5799, 5856, 267, 543, 646, 9411, 6214, 563, 10190, 267, 538, 476, 7277, 279, 267, 1776, 4838, 909, 2105, 519, 2229, 543, 21490, 519, 1259, 585, 8402, 19167, 267, 606, 1313, 7095, 6205, 267, 547, 581, 11221, 7022, 269, 8402, 19167, 25868, 1379, 538, 513, 19420, 546, 685, 564, 520, 538, 476, 6977, 273, 543, 10294, 5128, 17169, 540, 5333, 563, 295, 1872, 334, 1654, 515, 618, 569, 10353, 8402, 19167, 779, 4473, 547, 1379, 269, 901, 8507, 538, 18018, 334, 779, 24815, 547, 519, 6532, 540, 2871, 1716, 8124, 267, 1141, 646, 2156, 10757, 585, 476, 1428, 1296, 543, 5206, 15776, 16700, 2946, 4599, 956, 563, 763, 8313, 540, 15776, 16700, 2946, 4599, 956, 267, 538, 476, 5908, 273, 267, 729, 4922, 17191, 1759, 593, 18018, 334, 779, 8560, 269, 634, 1433, 729, 606, 7525, 1967, 269, 898, 4300, 4705, 547, 513, 3376, 5304, 2066, 2342, 543, 824, 2127, 540, 519, 1158, 269, 769, 519, 2136, 2276, 267, 15776, 16700, 2946, 4599, 956, 1336, 28048, 3988, 1851, 7980, 8165, 593, 1312, 5011, 540, 519, 1977, 6406, 2782, 563, 763, 1292, 1650, 5205, 519, 1272, 540, 606, 608, 8410, 341, 1112, 543, 1514, 856, 4751, 267, 14639, 4406, 329, 6756, 267, 607, 646, 11394, 25863, 543, 20106, 538, 513, 2486, 18460, 17522, 543, 1689, 269, 634, 3209, 568, 17770, 7240, 538, 1082, 24947, 269, 634, 1915, 540, 631, 23581, 568, 1759, 593, 18018, 334, 779, 1272, 607, 513, 1762, 2937, 269, 1656, 267, 519, 4655, 1063, 14639, 4406, 329, 6756, 543, 26566, 3200, 267, 519, 1650, 779, 21087, 626, 267, 19141, 20849, 5011, 540, 18018, 334, 779, 1378, 7209, 563, 295, 1872, 334, 1031, 15776, 16700, 2946, 4599, 956, 547, 10404, 1125, 519, 17536, 1182, 540, 476, 866, 628, 2540, 5333, 269, 1717, 267, 2152, 18808, 609, 538, 519, 3209, 616, 8471, 543, 1869, 13469, 2443, 519, 2924, 540, 2021, 267, 29076, 4655, 267, 28877, 540, 519, 5126, 1062, 267, 543, 519, 5821, 540, 2486, 779, 5238, 563, 3725, 23728, 4249, 513, 1804, 1909, 538, 15776, 16700, 2946, 4599, 956, 267, 1175, 607, 621, 1705, 538, 18018, 334, 779, 1272, 269, 18018, 334, 14360, 519, 2707, 540, 3540, 19727, 543, 4838, 547, 519, 11972, 4655, 1063, 519, 7287, 585, 6617, 543, 519, 3406, 585, 1945, 1732, 269, 4658, 945, 616, 1134, 6039, 676, 2486, 3343, 6617, 267, 543, 1346, 14593, 547, 519, 19114, 989, 10028, 585, 1689, 563, 295, 1872, 334, 11130, 602, 1004, 723, 513, 1318, 547, 4161, 519, 4031, 543, 14908, 540, 2486, 950, 891, 798, 711, 5447, 609, 1018, 568, 25432, 1318, 269, 7169, 267, 646, 1767, 267, 568, 606, 8665, 540, 3356, 563, 3682, 28698, 568, 812, 779, 7154, 540, 6228, 269, 2443, 8841, 18018, 334, 454, 6624, 1919, 616, 2944, 538, 519, 2012, 540, 3356, 269, 8402, 19167, 12199, 5333, 896, 519, 7333, 1676, 540, 3356, 269, 3571, 2229, 3710, 513, 3084, 1062, 540, 16456, 338, 543, 32206, 8303, 547, 581, 519, 13686, 540, 29678, 269, 1717, 267, 519, 3376, 18817, 646, 9112, 998, 519, 2749, 941, 2966, 547, 1118, 621, 4443, 585, 519, 2229, 547, 2322, 1524, 2104, 3540, 15148, 1206, 563, 295, 1872, 334, 3217, 513, 811, 27763, 2070, 2443, 3356, 814, 513, 5289, 10155, 538, 1840, 547, 922, 1570, 19183, 269, 18018, 334, 1767, 602, 3356, 568, 519, 1480, 3460, 4724, 519, 10143, 269, 968, 763, 7104, 1193, 728, 540, 519, 1480, 5198, 568, 1572, 18776, 3034, 1103, 1272, 267, 8841, 18018, 334, 1336, 1967, 676, 3168, 547, 519, 19114, 543, 7432, 1010, 1394, 593, 519, 4099, 269, 7216, 538, 1010, 4876, 267, 18018, 334, 1981, 539, 20655, 693, 519, 3946, 540, 2229, 18594, 832, 547, 2328, 4249, 2966, 547, 28596, 519, 10661, 269, 13536, 267, 1312, 607, 513, 5856, 543, 607, 513, 22267, 18018, 334, 13084, 16845, 519, 3123, 540, 519, 27797, 543, 519, 2324, 1362, 563, 1103, 519, 3209, 267, 14639, 4406, 329, 6756, 9060, 1010, 3483, 538, 5885, 824, 1004, 538, 741, 9620, 269, 1261, 29217, 998, 28908, 543, 23502, 269, 1452, 616, 519, 9604, 676, 799, 646, 6038, 9396, 1846, 1010, 10779, 776, 26566, 3200, 267, 513, 10178, 520, 673, 8665, 585, 1876, 543, 1931, 563, 2252, 596, 6999, 547, 917, 1018, 7169, 568, 267, 1289, 621, 18776, 282, 543, 952, 596, 6999, 547, 917, 1018, 18776, 568, 267, 1289, 621, 519, 8892, 269, 2443, 8841, 18018, 334, 454, 299, 525, 16700, 2946, 4599, 956, 20205, 513, 1289, 547, 7916, 2443, 11654, 3356, 267, 711, 6617, 269, 634, 4031, 543, 5238, 540, 2486, 616, 17866, 267, 543, 789, 616, 12155, 547, 5821, 269, 25506, 519, 28877, 538, 3646, 547, 8190, 519, 4567, 28943, 693, 782, 3790, 269, 22737, 8103, 543, 519, 6560, 602, 25907, 721, 1927, 269, 0, 288, 9649, 23047, 1575, 658, 602, 887, 3139, 22300, 5245, 476, 1839, 2929, 1296, 3516, 568, 865, 1114, 689, 922, 27042, 520, 30980, 602, 3744, 723, 1185, 547, 1711, 513, 1007, 1920, 547, 13918, 621, 563, 6124, 1382, 814, 8774, 1769, 593, 519, 1909, 4262, 4672, 4249, 538, 5883, 11626, 3327, 8166, 2157, 563, 6624, 1025, 3317, 625, 1107, 513, 7415, 1920, 540, 24991, 1107, 7960, 689, 606, 12748, 11313, 329, 871, 540, 782, 23194, 685, 547, 513, 2048, 24490, 540, 835, 685, 2390, 519, 12289, 540, 2244, 267, 513, 1007, 1353, 3366, 676, 6167, 14684, 3744, 814, 3254, 563, 288, 1007, 6167, 14684, 1353, 7569, 1732, 11413, 1472, 519, 7329, 3930, 2106, 29386, 1216, 2359, 3652, 12044, 1216, 14305, 538, 519, 25371, 5937, 541, 1782, 19438, 563, 763, 21634, 1460, 518, 267, 606, 14628, 3926, 602, 666, 3077, 543, 524, 1638, 535, 1968, 7314, 538, 519, 3552, 267, 1223, 581, 1883, 538, 31811, 5245, 779, 1232, 13846, 5065, 3662, 5095, 563, 5804, 4466, 11183, 3435, 538, 20397, 547, 1210, 12504, 2257, 547, 3950, 17382, 20344, 267, 6167, 14684, 17638, 3173, 616, 1210, 2470, 1107, 543, 1142, 824, 1107, 547, 948, 10994, 2518, 2042, 563, 288, 1895, 540, 6167, 14684, 3444, 16162, 23002, 4966, 1865, 519, 2640, 540, 2371, 267, 12202, 543, 3039, 5624, 1282, 5046, 268, 866, 563, 7419, 14684, 17638, 3173, 723, 3323, 513, 3531, 2988, 639, 5464, 1353, 1310, 789, 8120, 1614, 540, 519, 11599, 7068, 547, 570, 573, 16535, 321, 8759, 7186, 15944, 267, 2282, 2052, 828, 571, 563, 31640, 20950, 949, 723, 1044, 519, 2048, 4944, 1046, 685, 602, 5280, 5214, 2339, 2490, 883, 1272, 1107, 891, 6167, 14684, 17638, 3744, 723, 2322, 713, 8367, 547, 519, 1449, 538, 1715, 10215, 563, 8138, 338, 573, 2213, 11125, 2209, 13939, 909, 547, 476, 2764, 829, 1298, 811, 1216, 982, 1346, 945, 4607, 1100, 7482, 896, 513, 3084, 25371, 5937, 541, 1782, 19438, 12555, 4398, 1982, 267, 513, 1007, 1353, 814, 1336, 269, 0, 763, 5887, 1537, 1062, 568, 519, 3119, 7271, 12044, 1072, 543, 27921, 538, 519, 1560, 269, 6333, 707, 3210, 24323, 950, 2576, 5654, 693, 596, 609, 22205, 4064, 267, 3096, 513, 2571, 3159, 267, 610, 2306, 513, 23972, 540, 4276, 286, 901, 568, 519, 5887, 1537, 1062, 2962, 269, 11619, 1137, 540, 3106, 1832, 721, 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 ]

[ 0, 898, 729, 513, 13566, 1554, 543, 2370, 536, 22324, 5484, 729, 5577, 4771, 1472, 1010, 803, 20760, 950, 646, 4718, 1010, 3659, 14854, 8751, 10010, 547, 1847, 269, 5484, 4280, 267, 968, 25402, 267, 1018, 779, 4636, 286, 4208, 616, 596, 3001, 865, 3500, 2221, 9495, 692, 307, 31103, 8751, 14452, 267, 968, 296, 1616, 547, 979, 3643, 1250, 6264, 2742, 945, 2729, 2066, 519, 4104, 267, 855, 594, 666, 1152, 2951, 476, 2568, 5195, 538, 513, 2898, 1554, 269, 594, 993, 14126, 594, 4465, 1406, 1205, 972, 593, 942, 14325, 13051, 1185, 606, 2856, 256, 3571, 1007, 1085, 2393, 518, 1223, 948, 1864, 3382, 3152, 9883, 5488, 982, 2479, 1354, 269, 1261, 1767, 267, 968, 10673, 1406, 5855, 267, 8751, 256, 14929, 5196, 1250, 1085, 2393, 518, 543, 649, 786, 3914, 707, 6264, 2742, 779, 1747, 538, 1100, 942, 17373, 1656, 1055, 789, 4682, 593, 741, 3078, 3460, 780, 5445, 4988, 476, 5611, 5195, 538, 1175, 1079, 3108, 256, 5484, 5433, 10583, 540, 741, 22920, 267, 855, 1287, 7691, 1945, 7282, 269, 1358, 941, 10707, 1259, 5488, 982, 824, 2831, 593, 519, 4155, 269, 1677, 1174, 1732, 267, 789, 4956, 547, 5173, 741, 3432, 780, 13051, 5258, 519, 2698, 3845, 676, 942, 3144, 1107, 602, 568, 267, 476, 5611, 5195, 5258, 676, 476, 273, 3108, 269, 1358, 4362, 741, 3328, 3432, 729, 606, 6909, 476, 4037, 5195, 829, 5662, 256, 22582, 267, 789, 15422, 519, 8912, 3432, 3970, 1305, 585, 3025, 779, 3106, 729, 1152, 476, 2568, 5195, 829, 5662, 269, 2334, 5921, 789, 941, 2469, 476, 1428, 5195, 829, 5662, 811, 982, 4847, 2439, 30342, 28280, 543, 25922, 267, 5484, 30281, 1524, 5612, 269, 4014, 8757, 3728, 8604, 1187, 7620, 267, 1439, 836, 1359, 1866, 685, 3106, 7012, 1406, 4502, 621, 269, 901, 6397, 10071, 6026, 1312, 2828, 513, 3407, 3992, 827, 5539, 2509, 2933, 543, 1866, 1247, 1620, 519, 1523, 540, 3432, 543, 7182, 269, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 28490, 3627, 12599, 513, 3845, 540, 476, 5611, 5195, 538, 476, 273, 3108, 543, 519, 3432, 3970, 568, 476, 2568, 18890, 267, 875, 1082, 18890, 729, 646, 6117, 1657, 519, 3432, 3970, 888, 2252, 3627, 14612, 513, 3845, 540, 476, 5611, 5195, 538, 476, 273, 3108, 267, 1010, 3328, 3432, 729, 476, 5611, 5195, 1315, 476, 273, 3108, 815, 476, 4037, 18890, 269, 3097, 763, 3432, 3970, 568, 476, 2568, 18890, 267, 865, 646, 729, 6117, 476, 4037, 18890, 910, 476, 2568, 18890, 815, 476, 1428, 18890, 1657, 519, 3432, 3970, 269, 3097, 2971, 476, 1428, 454, 763, 2626, 568, 281, 476, 1428, 10640, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 269, 1280, 1383, 267, 952, 519, 1650, 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, 6092, 5149, 281, 15531, 2659, 28042, 20429, 910, 10289, 8535, 3414, 9608, 9314, 338, 692, 8702, 547, 713, 3078, 1576, 1770, 1141, 649, 786, 1451, 782, 827, 12423, 938, 7574, 4690, 543, 1210, 873, 547, 1711, 6209, 2575, 256, 5620, 596, 2479, 1336, 3054, 811, 7722, 538, 835, 1826, 540, 2575, 936, 1776, 286, 9320, 596, 2648, 6947, 547, 1402, 8964, 1317, 789, 2811, 909, 18566, 543, 1187, 267, 610, 5310, 596, 4782, 8106, 4773, 602, 18427, 2620, 4664, 269, 21894, 621, 949, 581, 267, 9301, 891, 7375, 568, 606, 1898, 1101, 1900, 2509, 3384, 707, 2189, 7574, 5639, 780, 3719, 1946, 1281, 6616, 707, 7574, 16919, 2339, 286, 4270, 267, 1589, 827, 621, 899, 713, 281, 950, 596, 917, 1018, 10366, 596, 2972, 4189, 267, 596, 666, 3434, 8949, 6980, 602, 14183, 707, 31370, 282, 13974, 267, 1620, 707, 7574, 7375, 2636, 596, 547, 4739, 4190, 15885, 602, 13469, 609, 707, 9997, 269, 1656, 7058, 1018, 286, 2334, 10761, 543, 6612, 786, 19542, 998, 707, 12644, 267, 1818, 873, 1256, 811, 11791, 585, 1312, 596, 543, 707, 5304, 780, 3086, 267, 1577, 781, 4685, 4514, 883, 4466, 707, 7574, 5639, 676, 3695, 1585, 3344, 540, 2575, 602, 8597, 547, 1114, 4690, 1384, 272, 269, 681, 20263, 543, 7843, 17763, 281, 1403, 596, 2648, 3001, 547, 519, 10726, 267, 2263, 1585, 18819, 543, 1661, 1842, 538, 1114, 11964, 971, 607, 15690, 267, 12048, 5577, 267, 5824, 267, 543, 5907, 7544, 2575, 269, 15331, 609, 804, 6260, 267, 26378, 267, 610, 15472, 2059, 547, 948, 2697, 799, 18819, 10161, 596, 519, 1034, 563, 273, 269, 9253, 1328, 543, 24442, 281, 1280, 1346, 945, 5660, 6952, 344, 26107, 543, 16147, 3356, 687, 267, 8495, 2241, 23964, 543, 11745, 625, 1369, 2442, 8964, 543, 2757, 12563, 2575, 269, 8347, 13465, 267, 23832, 267, 610, 4730, 2596, 22334, 593, 606, 6293, 630, 7945, 607, 20410, 2544, 548, 610, 13691, 264, 547, 2417, 1020, 707, 1274, 543, 12372, 1222, 1983, 563, 274, 269, 10370, 7879, 543, 17826, 281, 3657, 596, 6537, 547, 3532, 6835, 543, 9423, 538, 18405, 286, 5548, 557, 883, 5152, 8586, 2553, 1031, 676, 4583, 5159, 543, 15023, 7567, 269, 21302, 741, 3889, 267, 30053, 267, 23199, 267, 543, 2262, 5079, 547, 8300, 707, 1378, 13144, 563, 275, 269, 7033, 3691, 543, 7956, 675, 281, 6496, 519, 3280, 2298, 540, 7405, 533, 1664, 707, 7279, 286, 31385, 4626, 321, 637, 543, 18282, 2066, 3309, 679, 5145, 956, 899, 1623, 21620, 32427, 553, 267, 4224, 13164, 267, 544, 926, 25764, 2516, 267, 543, 5374, 14941, 13164, 269, 19415, 5702, 547, 1142, 6293, 781, 1909, 538, 2870, 519, 2949, 4992, 3874, 563, 276, 269, 3778, 543, 9177, 281, 1403, 1565, 827, 2575, 781, 4720, 2429, 1686, 3673, 7149, 596, 267, 4983, 1883, 2621, 267, 5515, 267, 543, 5322, 602, 8032, 2221, 781, 2413, 6163, 269, 4045, 532, 3140, 8658, 547, 4207, 3466, 786, 1683, 3638, 4030, 883, 2575, 781, 2518, 1764, 563, 277, 269, 5303, 543, 16743, 281, 14936, 267, 585, 1346, 27278, 676, 5969, 12967, 4992, 543, 3059, 2645, 267, 5490, 883, 519, 1158, 540, 2575, 2029, 269, 3245, 13754, 9088, 547, 3301, 3292, 267, 972, 616, 9118, 2081, 547, 4603, 609, 1007, 2409, 540, 5137, 543, 2773, 780, 3528, 1631, 267, 596, 1522, 723, 7691, 602, 7114, 707, 7574, 4690, 3085, 1405, 1611, 12145, 3054, 547, 1152, 835, 2460, 540, 2575, 269, 5502, 267, 621, 7512, 3408, 543, 7071, 585, 782, 922, 18125, 269, 1306, 596, 3136, 17975, 707, 2189, 7574, 5639, 267, 3314, 602, 1169, 4062, 540, 2575, 814, 1945, 3407, 547, 2709, 1107, 1454, 899, 3843, 1007, 3536, 693, 513, 10889, 564, 256, 1924, 979, 6619, 267, 32696, 538, 519, 5318, 5044, 540, 7574, 10366, 856, 972, 267, 543, 4166, 2614, 267, 596, 3513, 1831, 513, 598, 7224, 23579, 584, 540, 707, 1360, 1378, 2511, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 16521, 2659, 4530, 454, 25823, 1315, 957, 3341, 2228, 10274, 543, 4388, 267, 476, 13647, 1390, 1382, 1957, 3584, 563, 3080, 540, 519, 23698, 2694, 540, 1603, 513, 1382, 1957, 666, 581, 1175, 4466, 513, 1434, 1888, 547, 2328, 827, 269, 18641, 649, 4312, 2944, 519, 2182, 960, 585, 596, 543, 723, 16432, 513, 1592, 540, 476, 13647, 4277, 1382, 1957, 3584, 269, 1358, 4312, 1044, 6896, 883, 4557, 6688, 543, 3382, 513, 2647, 2039, 540, 5396, 865, 596, 666, 3362, 1265, 519, 1655, 1888, 585, 596, 563, 1103, 1840, 547, 519, 1592, 540, 1434, 1382, 3584, 267, 649, 4312, 3769, 5796, 593, 1018, 2306, 513, 1434, 1382, 1957, 1888, 543, 875, 596, 666, 946, 707, 1888, 547, 1376, 1603, 513, 1390, 1957, 563, 1432, 24439, 513, 6153, 3194, 7433, 13445, 888, 8253, 782, 1382, 1957, 3584, 616, 2813, 3160, 267, 543, 596, 1616, 547, 1118, 2386, 596, 3442, 513, 1390, 1888, 1354, 596, 1376, 1603, 269, 12989, 616, 519, 1614, 1034, 1271, 2188, 547, 2015, 547, 1118, 2386, 596, 3442, 519, 1655, 1382, 1957, 3584, 563, 258, 272, 281, 898, 781, 23985, 1411, 2811, 9314, 539, 769, 454, 288, 1957, 568, 2141, 4443, 547, 2328, 952, 596, 2811, 5461, 538, 519, 1888, 267, 543, 596, 3513, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 303, 539, 698, 16479, 13898, 257, 607, 851, 540, 834, 300, 4785, 2975, 1315, 19019, 1299, 5530, 1315, 4937, 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, 272, 281, 1548, 568, 513, 2098, 710, 2496, 5970, 596, 2479, 4862, 540, 513, 834, 345, 710, 22172, 898, 1522, 3280, 899, 1945, 689, 513, 2257, 5708, 7260, 267, 855, 621, 781, 2965, 513, 1187, 543, 3860, 1259, 547, 2769, 3054, 256, 589, 1990, 710, 568, 513, 1507, 12139, 610, 13371, 1433, 602, 2576, 2306, 2933, 269, 1358, 666, 581, 827, 4376, 596, 666, 4952, 1107, 707, 5172, 6512, 267, 513, 1650, 596, 5206, 267, 1256, 707, 4555, 543, 4606, 827, 519, 1158, 1472, 596, 780, 5331, 596, 723, 513, 2462, 2856, 602, 596, 1616, 547, 2671, 609, 1866, 269, 9320, 596, 2648, 5373, 14676, 267, 610, 6148, 596, 2328, 5863, 9954, 269, 1411, 1223, 1711, 513, 1990, 710, 547, 1397, 1055, 707, 15421, 543, 1921, 609, 824, 1004, 945, 2671, 707, 4690, 269, 2334, 781, 1018, 20574, 3627, 27508, 1705, 950, 646, 2813, 1010, 1101, 1990, 710, 693, 519, 2085, 540, 476, 866, 269, 3571, 1990, 1149, 941, 782, 1114, 267, 8720, 3584, 899, 2575, 267, 16897, 267, 543, 2123, 5539, 780, 21430, 513, 1990, 710, 568, 849, 513, 1390, 1259, 547, 2259, 707, 1603, 543, 1148, 1983, 269, 1879, 20574, 729, 3395, 909, 267, 646, 6068, 2542, 2835, 543, 26927, 3139, 540, 4742, 513, 5856, 835, 1554, 269, 1809, 950, 646, 7691, 875, 2182, 621, 1131, 581, 547, 1205, 3370, 267, 646, 3592, 5795, 909, 593, 1010, 5326, 269, 24664, 1176, 267, 646, 4362, 1990, 1149, 543, 1336, 513, 1007, 1259, 547, 2671, 1010, 2984, 609, 519, 1158, 780, 2791, 1810, 1405, 991, 1022, 2027, 3937, 547, 1376, 1818, 707, 1378, 1990, 1149, 269, 2353, 596, 991, 568, 930, 1957, 267, 513, 4050, 610, 15513, 267, 543, 707, 9345, 256, 1403, 596, 899, 547, 2721, 267, 596, 666, 1039, 5961, 547, 979, 2059, 609, 707, 1603, 269, 2107, 267, 952, 596, 4782, 267, 596, 666, 1175, 946, 1913, 547, 2995, 707, 1650, 780, 2080, 781, 606, 1383, 540, 513, 2241, 1990, 710, 596, 1223, 1118, 1384, 265, 6875, 513, 6656, 540, 1957, 543, 16784, 621, 538, 3368, 1614, 2053, 267, 865, 621, 5654, 899, 513, 2370, 27412, 563, 265, 3503, 513, 2110, 1650, 610, 6648, 593, 1142, 2985, 563, 265, 5410, 930, 12400, 610, 30164, 519, 3817, 609, 29654, 610, 2458, 1137, 563, 265, 853, 18393, 519, 3817, 1927, 610, 12622, 873, 609, 5569, 610, 20612, 780, 4517, 972, 596, 723, 621, 1107, 707, 1360, 1378, 1990, 710, 256, 9523, 621, 609, 707, 2828, 543, 1920, 267, 610, 4123, 621, 609, 824, 3214, 945, 1118, 741, 1378, 1990, 1149, 269, 5808, 6487, 1107, 596, 1522, 8300, 2576, 3116, 547, 1376, 2870, 1932, 2439, 1103, 713, 3184, 267, 649, 4121, 827, 1990, 1149, 543, 1946, 789, 2811, 971, 513, 3579, 1259, 547, 2769, 3054, 269, 8921, 267, 649, 3513, 2263, 519, 1686, 540, 1990, 1149, 543, 1451, 811, 827, 875, 1004, 723, 1031 ]

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

[ 24674, 540, 4065, 912, 288, 2123, 10304, 547, 16565, 606, 2069, 568, 519, 4960, 547, 1205, 607, 606, 2576, 267, 4603, 609, 1018, 596, 616, 13730, 827, 267, 543, 22919, 3054, 1547, 1411, 2019, 819, 581, 6534, 547, 513, 3309, 1305, 540, 1004, 543, 2093, 799, 8831, 519, 2247, 563, 21010, 532, 21661, 645, 7451, 454, 763, 1007, 30768, 540, 3059, 2069, 568, 6712, 1346, 945, 1205, 606, 2069, 547, 1921, 3444, 1811, 519, 8608, 609, 1004, 689, 824, 4529, 1547, 4841, 666, 28111, 1927, 3444, 1811, 12765, 593, 338, 267, 2810, 519, 2686, 4656, 543, 24634, 534, 8864, 540, 519, 2013, 8386, 2275, 1162, 563, 274, 1547, 4317, 1944, 543, 32730, 616, 9608, 11588, 540, 4065, 454, 19733, 2488, 10453, 609, 519, 2230, 543, 519, 3255, 547, 14183, 519, 899, 2389, 2056, 930, 321, 3672, 267, 2901, 593, 513, 635, 701, 518, 610, 21927, 5748, 1547, 769, 1153, 5264, 267, 1433, 5443, 7755, 7765, 3401, 538, 741, 2361, 267, 1283, 4648, 267, 543, 1205, 7755, 334, 1231, 998, 543, 998, 970, 1090, 541, 1388, 2238, 607, 1134, 563, 275, 1547, 623, 2720, 5224, 2659, 32425, 454, 2691, 596, 1745, 13730, 2282, 1945, 267, 596, 1616, 547, 726, 25128, 3054, 538, 602, 1888, 1547, 4065, 3947, 596, 519, 1747, 547, 798, 865, 1547, 769, 1840, 267, 596, 949, 1265, 1007, 3636, 2195, 610, 1007, 2477, 540, 1719, 3330, 707, 2361, 540, 1641, 2361, 563, 306, 1619, 540, 6452, 558, 680, 7321, 454, 19226, 5109, 1022, 3446, 2443, 2436, 621, 568, 513, 9972, 1164, 1153, 1153, 4110, 610, 2362, 2069, 2443, 568, 606, 22920, 1547, 19573, 908, 3947, 5640, 513, 5318, 2366, 3050, 540, 11601, 543, 3762, 873, 519, 6392, 2838, 547, 979, 856, 883, 519, 1158, 543, 1205, 1945, 540, 2933, 563, 276, 1547, 9608, 4886, 540, 10341, 454, 10743, 616, 16601, 547, 979, 998, 1082, 552, 764, 550, 7879, 540, 10467, 267, 5717, 267, 6030, 267, 543, 27205, 28114, 811, 1282, 741, 942, 538, 2069, 8257, 1547, 4475, 267, 789, 1439, 909, 609, 513, 14952, 331, 748, 2257, 1305, 602, 18922, 883, 519, 13781, 563, 1103, 1840, 267, 689, 29599, 338, 267, 1433, 5443, 1224, 1480, 2065, 9015, 267, 5026, 267, 543, 27205, 28114, 811, 602, 4196, 873, 13948, 538, 1272, 543, 547, 1921, 609, 1866, 563, 17829, 609, 606, 2069, 723, 1185, 28114, 811, 593, 741, 6676, 543, 16309, 998, 543, 998, 621, 1547, 1358, 917, 875, 547, 4383, 741, 942, 543, 15421, 543, 581, 15417, 1547, 2991, 22692, 267, 14046, 1004, 666, 4163, 602, 3170, 1648, 883, 519, 13781, 563, 10743, 616, 16601, 547, 2490, 538, 7097, 539, 10467, 267, 960, 538, 2516, 267, 7119, 538, 5574, 267, 610, 3068, 538, 6370, 12506, 540, 1866, 1547, 901, 9843, 547, 5140, 2854, 2792, 267, 6340, 1983, 267, 543, 1895, 2792, 563, 27287, 15154, 10341, 454, 10144, 609, 606, 2069, 666, 1589, 267, 543, 1589, 1134, 1547, 1358, 616, 6026, 547, 2307, 23827, 894, 5220, 267, 25261, 936, 267, 543, 5659, 2443, 782, 2565, 9443, 585, 2663, 16771, 563, 15275, 2305, 540, 10341, 454, 5278, 723, 1983, 602, 789, 10093, 1406, 2943, 4767, 267, 543, 10093, 1406, 1185, 519, 4316, 547, 4228, 2390, 1547, 4065, 21018, 519, 1589, 518, 267, 9397, 1053, 547, 1007, 2152, 267, 543, 24864, 1433, 5443, 547, 798, 1732, 1547, 1306, 513, 1267, 267, 1433, 5443, 949, 3605, 1983, 789, 4769, 1406, 1256, 917, 789, 1185, 563, 15124, 518, 23281, 540, 2598, 23002, 454, 10743, 616, 26608, 1288, 2810, 2338, 540, 5539, 609, 689, 1142, 835, 1032, 540, 2069, 789, 2347, 1547, 898, 568, 519, 14046, 1268, 779, 2816, 547, 4383, 741, 942, 543, 1711, 741, 1378, 8011, 518, 267, 3056, 547, 1582, 16162, 23002, 5759, 585, 1346, 945, 8011, 563, 277, 1547, 2859, 25477, 568, 513, 5484, 24674, 540, 4065, 454, 291, 12801, 25963, 723, 1569, 547, 811, 6009, 1547, 1280, 20021, 540, 20277, 779, 3292, 610, 2362, 267, 519, 13864, 2557, 568, 2759, 538, 835, 28451, 563, 278, 1547, 19396, 28678, 543, 21992, 618, 454, 565, 5076, 4081, 5232, 10591, 909, 5640, 585, 513, 4876, 267, 610, 585, 3356, 1369, 741, 1699, 1899, 540, 1870, 1547, 14451, 8257, 540, 2069, 3762, 519, 7041, 543, 12492, 906, 13766, 585, 2266, 591, 538, 513, 1808, 1858, 1547, 769, 1840, 267, 1082, 7158, 2022, 3634, 513, 4110, 585, 7127, 1547, 2368, 949, 711, 1869, 1413, 693, 513, 16056, 1141, 519, 32358, 814, 1100, 1448, 563, 279, 1547, 9483, 12618, 454, 2691, 606, 3003, 2486, 568, 13473, 267, 7607, 4679, 267, 1611, 4747, 4679, 267, 543, 13864, 1295, 5809, 1547, 901, 5012, 547, 519, 22237, 2208, 543, 1526, 3599, 540, 513, 2486, 607, 513, 2898, 1547, 898, 20297, 609, 2069, 563, 295, 27941, 20677, 607, 513, 5484, 24674, 540, 4065, 454, 17829, 609, 8257, 540, 2069, 3564, 9972, 1164, 1153, 18375, 581, 2016, 547, 723, 2362, 13848, 982, 9972, 1164, 1153, 1153, 3446, 25963, 1547, 8409, 609, 1100, 9344, 2744, 519, 9803, 23269, 593, 2343, 1547, 1280, 2407, 7599, 6066, 11051, 538, 476, 1001, 278, 267, 12353, 2343, 13848, 585, 1346, 609, 1100, 1377, 729, 1269, 276, 1428, 267, 4553, 676, 1164, 1153, 1153, 20021, 693, 1269, 278, 1704, 267, 543, 1269, 272, 267, 6245, 585, 796, 3405, 3072, 812, 779, 4110, 25963, 1547, 8409, 609, 620, 4379, 639, 5232, 1500, 606, 3328, 540, 1269, 272, 267, 26493, 563, 280, 1547, 7025, 11588, 454, 20458, 1689, 568, 513, 1804, 5094, 540, 519, 6643, 2221, 267, 543, 2486, 23366, 547, 960, 8087, 569, 547, 4309, 6928, 3118, 547, 632, 31038, 1125, 1764, 593, 519, 3618, 1547, 3447, 730, 6180, 1023, 602, 1102, 1460, 519, 960, 3196, 786, 2322, 741, 17133, 540, 7099, 1689, 883, 2486, 4507, 267, 5718, 547, 2799, 6940, 563, 1015, 1547, 5081, 13926, 11588, 454, 288, 2486, 602, 568, 1134, 13473, 7959, 513, 2362, 2366, 3050, 540, 476, 272, 543, 3972, 3330, 519, 10821, 1858, 1547, 3447, 730, 7239, 3142, 909, 909, 519, 1216, 344, 543, 2244, 513, 4743, 540, 1927, 1145, 1851, 782, 2694, 563, 23220, 4925, 25734, 543, 25085, 618, 454, 19733, 2488, 3025, 609, 513, 7504, 2631, 540, 2278, 5314, 282, 519, 19406, 602, 789, 723, 519, 4781, 547, 1689, 741, 1378, 1272, 543, 2824, 741, 1259, 1547, 6468, 609, 606, 2069, 723, 1732, 8990, 1818, 7207, 543, 616, 27205, 28114, 811, 2693, 547, 3398, 5279, 540, 741, 1378, 2729, 563, 23220, 4925, 6153, 22893, 1222, 543, 595, 15960, 12833, 9876, 618, 454, 17829, 609, 606, 8257, 540, 2069, 4043, 547, 581, 28114, 811, 26256, 714, 656, 540, 6908, 2797, 2152, 267, 543, 616, 27205, 28114, 811, 2693, 547, 28056, 2490, 719, 1547, 14451, 1377, 25963, 616, 7466, 607, 2693, 547, 15321, 267, 543, 476, 274, 269, 276, 2053, 811, 2693, 547, 24946, 2724, 982, 9972, 1164, 18375, 620, 4379, 4926, 563, 19733, 1196, 1189, 11414, 1004, 519, 3017, 1063, 1318, 543, 4636, 267, 543, 16310, 27875, 1453, 543, 28114, 1762, 6738, 5725, 547, 2729, 540, 1866, 1547, 4197, 1318, 1688, 543, 4636, 543, 2348, 6568, 1832, 1524, 12402, 547, 3479, 1876, 22249, 752, 902, 1547, 4065, 540, 513, 2754, 1295, 5809, 2949, 2458, 1513, 268, 10502, 835, 29757, 2333, 540, 3328, 2069, 8257, 5933, 540, 513, 1533, 8257, 1295, 1518, 8257, 540, 1533, 17253, 11974, 676, 476, 1556, 18336, 24965, 806, 13834, 15369, 20222, 454, 1103, 10821, 13102, 609, 1164, 3928, 540, 2069, 585, 1312, 21342, 25469, 267, 4008, 2861, 3196, 568, 1244, 816, 1547, 3447, 730, 1004, 616, 811, 982, 2693, 547, 7703, 856, 21342, 4008, 1612, 267, 543, 616, 27205, 28114, 811, 2693, 547, 1491, 3646, 547, 2407, 1448, 543, 2061, 4008, 2861, 610, 6469, 3196, 1547, 18877, 602, 1871, 27380, 585, 1312, 28486, 616, 1447, 538, 782, 10171, 547, 1205, 2665, 540, 22681, 4903, 19843, 593, 14799, 2828, 3506, 563, 24965, 806, 4132, 25141, 454, 294, 597, 3149, 609, 6281, 16509, 610, 2362, 2069, 616, 1726, 344, 8691, 1447, 2693, 547, 12311, 4505, 519, 2085, 540, 476, 1240, 1547, 32027, 2069, 11036, 538, 513, 2486, 1491, 883, 6589, 585, 4775, 1453, 547, 581, 2938, 607, 1004, 945, 666, 1205, 606, 8257, 540, 2069, 543, 1205, 741, 1378, 3664, 267, 2186, 540, 982, 1175, 513, 2104, 7385, 543, 3993, 563, 24965, 806, 631, 11189, 12280, 26162, 454, 300, 11189, 1163, 597, 344, 3928, 24609, 3648, 538, 25778, 2471, 609, 1164, 2069, 8257, 3928, 1547, 6468, 609, 1100, 2069, 8257, 693, 782, 616, 476, 273, 269, 278, 2053, 607, 2693, 547, 5884, 1282, 4332, 607, 4807, 3125, 338, 609, 476, 1321, 2395, 540, 2866, 1547, 6468, 609, 835, 547, 3670, 2025, 2085, 540, 3450, 616, 7466, 607, 2693, 547, 7985, 15366, 9019, 1547, 901, 568, 1317, 13473, 11299, 616, 811, 2693, 547, 946, 1072, 2533, 267, 1256, 856, 538, 1970, 14227, 5468, 1547, 19768, 540, 1705, 716, 923, 568, 16310, 513, 2566, 528, 585, 4023, 28486, 1282, 1126, 321, 8960, 1547, 634, 811, 21500, 513, 7738, 4807, 814, 1282, 6379, 267, 519, 2362, 519, 10171, 585, 2942, 1267, 1218, 563, 19119, 540, 14451, 4065, 454, 272, 1547, 19396, 19369, 454, 5278, 1004, 26256, 1125, 4010, 1018, 789, 1616, 547, 798, 2899, 789, 4283, 519, 960, 3196, 267, 543, 610, 865, 1004, 949, 3747, 2362, 8257, 540, 2069, 547, 1205, 547, 1141, 789, 8404, 547, 581, 1547, 589, 2852, 4110, 568, 513, 25471, 32563, 585, 513, 3395, 26246, 540, 23909, 1547, 4634, 952, 596, 5749, 1406, 1978, 1018, 596, 1616, 547, 798, 1310, 22692, 267, 621, 568, 513, 1390, 4324, 547, 979, 547, 2852, 1547, 14451, 2069, 2019, 819, 5351, 7522, 707, 1719, 1895, 543, 13217, 707, 5578, 1305, 267, 4159, 596, 4010, 1018, 596, 616, 1134, 693, 543, 1018, 2361, 596, 949, 991, 547, 4137, 563, 273, 1547, 16340, 518, 19750, 11588, 454, 21093, 513, 2362, 1705, 716, 923, 814, 930, 2182, 5991, 2216, 2640, 1932, 1547, 1879, 596, 1293, 693, 4747, 1382, 267, 519, 2963, 568, 2312, 602, 2852, 620, 4548, 1118, 1454, 811, 982, 741, 9972, 1164, 1153, 4110, 21054, 1547, 5441, 620, 4548, 13141, 710, 547, 581, 3514, 614, 607, 1134, 267, 609, 2539, 8594, 540, 2295, 2068, 267, 31007, 2509, 1434, 585, 596, 4189, 543, 3635, 267, 7296, 1447, 543, 9468, 19818, 518, 1547, 5441, 26215, 919, 11338, 4043, 547, 1995, 2362, 3928, 540, 7589, 538, 2797, 543, 2146, 12602, 267, 15321, 1143, 543, 1804, 13463, 14975, 23190, 563, 274, 1547, 9608, 4886, 454, 10743, 979, 998, 543, 998, 513, 2603, 540, 2123, 1646, 538, 2852, 1547, 12085, 971, 607, 2565, 6497, 566, 1983, 267, 942, 2359, 267, 829, 13367, 566, 267, 2792, 267, 543, 6881, 9443, 616, 782, 1390, 7221, 711, 3274, 585, 1985, 960, 855, 585, 2123, 1272, 607, 1134, 1547, 5441, 620, 4548, 1205, 20991, 538, 1272, 267, 711, 3274, 1317, 540, 519, 4110, 789, 4076, 12236, 267, 855, 519, 2833, 789, 4682, 998, 563, 275, 1547, 623, 2720, 5224, 513, 32425, 543, 2677, 1600, 12197, 454, 303, 2720, 5224, 707, 30270, 538, 519, 3337, 540, 513, 2852, 4081, 4110, 568, 519, 2619, 602, 1472, 1004, 4125, 543, 972, 568, 979, 846, 4212, 4636, 609, 602, 1547, 1403, 596, 5963, 798, 621, 2575, 267, 533, 1681, 936, 4915, 267, 1287, 1265, 513, 1259, 547, 1118, 513, 4876, 856, 540, 621, 1547, 5441, 786, 948, 596, 1205, 513, 4514, 543, 28114, 811, 5376, 6776, 1620, 540, 707, 6612, 543, 786, 849, 8118, 707, 4064, 547, 2009, 4876, 10092, 543, 23003, 563, 276, 1547, 15465, 543, 9442, 10341, 454, 31955, 14046, 1004, 1353, 2182, 543, 789, 1353, 540, 1777, 1307, 1547, 1358, 616, 6026, 547, 1589, 4244, 569, 543, 21176, 547, 4137, 856, 513, 2816, 1547, 1306, 513, 1267, 267, 2852, 1433, 5443, 12235, 519, 1164, 5042, 1379, 1547, 20043, 540, 339, 3747, 6310, 1895, 960, 543, 14245, 267, 4611, 538, 1732, 14375, 2792, 9443, 585, 620, 4379, 4926, 563, 277, 1547, 4317, 23800, 454, 10673, 11313, 339, 7340, 602, 2852, 3884, 1406, 782, 4974, 1547, 634, 29872, 1734, 596, 1205, 1282, 2852, 786, 581, 519, 2828, 596, 3638, 1268, 585, 1272, 1547, 1358, 666, 11338, 957, 607, 513, 1514, 2121, 267, 17666, 596, 909, 950, 596, 616, 20158, 543, 8716, 596, 547, 798, 707, 547, 3899, 538, 707, 12116, 267, 707, 3924, 267, 543, 538, 707, 1272, 1547, 4804, 547, 2661, 609, 1866, 543, 960, 20354, 609, 1866, 10597, 707, 1514, 1983, 607, 1134, 563, 30342, 2318, 7790, 1703, 616, 865, 1454, 811, 982, 18923, 891, 12434, 540, 8257, 540, 2069, 649 ]

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

[ 269, 29249, 16707, 476, 4391, 273, 267, 476, 7367, 630, 1220, 275, 1916, 3682, 14620, 1470, 267, 589, 269, 631, 1421, 681, 10216, 267, 674, 269, 1299, 2098, 8643, 267, 589, 269, 1879, 11409, 798, 711, 11604, 519, 8665, 781, 15752, 281, 11557, 3604, 538, 8849, 8193, 540, 3804, 30928, 3527, 269, 11671, 17595, 860, 807, 476, 4366, 267, 476, 13970, 275, 1700, 16409, 274, 630, 1001, 271, 1916, 298, 583, 553, 267, 631, 1421, 11709, 8891, 1084, 267, 595, 269, 1299, 918, 1663, 2658, 267, 681, 269, 5369, 565, 3907, 2524, 5082, 337, 1881, 4083, 269, 1547, 1103, 18361, 540, 2618, 565, 3907, 2524, 267, 3004, 343, 2401, 631, 267, 15168, 985, 321, 12329, 631, 630, 32295, 1040, 630, 1220, 279, 1916, 295, 6210, 677, 267, 623, 1421, 670, 12245, 267, 700, 1421, 645, 770, 807, 753, 523, 267, 631, 269, 1299, 22642, 5459, 267, 918, 269, 631, 269, 16949, 540, 2262, 2495, 543, 1158, 1702, 538, 1893, 8223, 269, 3163, 476, 19054, 267, 476, 275, 4343, 1700, 4510, 272, 630, 1220, 275, 1916, 301, 5271, 4068, 267, 670, 269, 808, 1421, 24759, 267, 667, 269, 700, 269, 1299, 4521, 5459, 267, 667, 269, 590, 269, 26271, 908, 1893, 281, 7756, 8849, 1016, 17882, 338, 609, 1114, 6213, 5712, 269, 24583, 13887, 23634, 1410, 476, 273, 267, 476, 28192, 1700, 28670, 630, 1960, 273, 1916, 293, 20482, 926, 267, 623, 269, 674, 1421, 11829, 3150, 267, 966, 1421, 681, 11170, 565, 3430, 328, 267, 717, 269, 1299, 674, 690, 817, 328, 267, 700, 269, 19257, 2928, 11409, 14775, 547, 519, 8343, 540, 3824, 24304, 543, 32705, 5023, 3527, 538, 519, 24564, 5887, 1537, 6566, 19318, 16794, 269, 20195, 808, 11671, 338, 857, 476, 1704, 267, 476, 10204, 274, 1700, 14378, 275, 630, 1220, 274, 1916, 288, 2692, 527, 714, 267, 674, 269, 1299, 25661, 383, 490, 320, 267, 966, 269, 681, 269, 634, 12105, 5169, 540, 519, 1893, 2127, 538, 519, 1480, 2634, 269, 589, 5778, 534, 520, 13929, 5133, 269, 11020, 3194, 17352, 476, 1839, 267, 476, 4343, 272, 630, 1960, 278, 1916, 6635, 321, 756, 267, 631, 269, 631, 269, 3245, 9787, 547, 1893, 281, 21150, 617, 1221, 2035, 543, 519, 4161, 540, 27727, 269, 4750, 540, 25665, 6261, 30213, 476, 9083, 267, 476, 275, 1700, 736, 630, 1220, 279, 1916, 298, 574, 267, 962, 269, 570, 1421, 1530, 334, 267, 808, 269, 670, 1421, 14576, 267, 670, 269, 808, 1421, 962, 5622, 267, 667, 269, 590, 1421, 10557, 267, 670, 269, 808, 1421, 10557, 267, 808, 1421, 10557, 267, 717, 1421, 32765, 517, 267, 661, 1421, 13690, 267, 808, 269, 717, 269, 1299, 26284, 267, 962, 269, 22532, 31426, 1644, 547, 2962, 8343, 538, 4274, 818, 7129, 269, 20409, 11020, 1763, 476, 23417, 267, 476, 31079, 1700, 31003, 630, 1001, 272, 1916, 4537, 574, 3385, 267, 590, 269, 3525, 1637, 540, 16359, 9351, 11314, 676, 519, 4934, 2492, 585, 513, 26761, 1282, 9866, 3569, 540, 513, 28473, 10794, 269, 12813, 24382, 21450, 476, 4366, 263, 1556, 1070, 552, 3199, 274, 275, 630, 1220, 280, 1916, 10468, 30977, 267, 631, 269, 674, 1421, 15011, 3139, 267, 570, 269, 715, 269, 1299, 5576, 933, 514, 31000, 267, 590, 269, 681, 269, 8131, 543, 1843, 17683, 896, 829, 24632, 4452, 281, 661, 14641, 2963, 269, 11671, 15862, 476, 7918, 267, 476, 23714, 272, 630, 1001, 272, 1916, 10267, 978, 267, 623, 269, 808, 269, 1299, 623, 2967, 267, 631, 269, 595, 269, 19837, 27937, 1063, 6284, 540, 5432, 10207, 543, 540, 8188, 538, 2550, 609, 1360, 7646, 12216, 2068, 281, 1323, 2680, 5829, 1761, 1353, 269, 11916, 11671, 31850, 5735, 476, 13199, 267, 476, 14681, 280, 630, 1001, 271, 1916, 19913, 933, 514, 31000, 267, 590, 269, 681, 1421, 918, 31348, 10458, 267, 808, 269, 681, 269, 631, 1421, 5651, 3430, 328, 267, 590, 1421, 3223, 559, 267, 589, 269, 1299, 8738, 2023, 267, 589, 269, 631, 269, 11020, 6114, 547, 10221, 1431, 540, 1480, 543, 3662, 8188, 267, 30141, 8188, 543, 3615, 281, 1323, 631, 9680, 1353, 269, 11020, 3194, 476, 14093, 275, 267, 476, 26297, 630, 1220, 278, 1916, 21589, 2471, 328, 267, 595, 1421, 7137, 331, 1075, 14024, 267, 717, 269, 1299, 3397, 2993, 582, 328, 267, 590, 269, 631, 269, 25080, 29918, 1637, 540, 6987, 2858, 686, 622, 10610, 9351, 6764, 4202, 10439, 14409, 540, 6348, 325, 18432, 10610, 20668, 269, 7351, 10334, 476, 1691, 267, 476, 22659, 271, 1700, 22659, 275, 630, 1220, 275, 1916, 19913, 8705, 345, 331, 846, 267, 681, 269, 674, 1421, 22823, 267, 595, 269, 594, 269, 1299, 20855, 342, 8718, 267, 715, 269, 9484, 26147, 8131, 543, 10610, 8564, 2032, 593, 519, 674, 639, 6134, 21859, 6350, 269, 808, 11671, 338, 857, 476, 1839, 267, 476, 8099, 4649, 1700, 8099, 6795, 630, 1220, 276, 1916, 296, 659, 984, 18223, 267, 631, 1421, 24230, 7288, 267, 700, 269, 631, 1421, 5696, 817, 267, 631, 1421, 645, 2131, 330, 1359, 267, 670, 1421, 28418, 267, 681, 269, 623, 1421, 667, 4209, 879, 267, 631, 269, 595, 1421, 631, 9579, 328, 27198, 267, 808, 269, 595, 1421, 681, 11170, 565, 3430, 328, 267, 717, 269, 1696, 620, 269, 1234, 3530, 5166, 12215, 540, 708, 18469, 3527, 538, 519, 1318, 9120, 13796, 16794, 269, 623, 2793, 306, 476, 7176, 267, 476, 16928, 4817, 1700, 16928, 4200, 630, 1220, 272, 1916, 290, 3430, 2033, 334, 267, 700, 1421, 9995, 337, 7236, 267, 631, 269, 1299, 5576, 8705, 345, 22138, 267, 808, 269, 3557, 5937, 8817, 570, 5960, 32672, 1023, 513, 28762, 1105, 673, 23830, 540, 9866, 5703, 20450, 538, 519, 7843, 1602, 531, 267, 623, 926, 13926, 543, 20031, 19318, 23634, 1182, 269, 24583, 13887, 23634, 1410, 476, 736, 267, 476, 18597, 273, 1700, 18597, 279, 630, 1001, 271, 1916, 294, 18115, 4149, 1051, 528, 267, 918, 1421, 12928, 537, 325, 267, 715, 269, 1299, 20855, 342, 8718, 267, 715, 269, 634, 535, 639, 6134, 3068, 1858, 7449, 12883, 3068, 8226, 267, 711, 13598, 1369, 2275, 14394, 8446, 269, 14844, 11671, 338, 857, 476, 278, 267, 476, 27898, 1700, 6321, 273, 630, 1220, 275, 1916, 298, 9545, 6308, 267, 667, 269, 808, 1421, 623, 1263, 267, 595, 269, 590, 269, 1299, 22823, 267, 595, 269, 594, 269, 7464, 28131, 26657, 11724, 725, 538, 4400, 30071, 767, 10439, 23634, 1410, 281, 898, 781, 519, 28805, 2859, 20537, 519, 23089, 269, 808, 11671, 338, 857, 476, 4029, 267, 476, 278, 3953, 273, 1700, 278, 3451, 274, 630, 1001, 272, 1916, 300, 29141, 267, 661, 269, 594, 1421, 918, 1886, 742, 267, 661, 269, 1299, 17018, 518, 267, 631, 269, 645, 269, 9255, 19204, 267, 25373, 19204, 543, 519, 11020, 781, 32085, 23830, 3590, 269, 16316, 4860, 11671, 338, 857, 476, 4029, 267, 476, 7597, 1700, 8660, 630, 1220, 279, 1916, 290, 3430, 2033, 334, 267, 700, 269, 1299, 681, 11170, 565, 3430, 328, 267, 717, 269, 634, 19257, 2928, 3026, 584, 517, 3590, 269, 5246, 3026, 340, 1503, 476, 5780, 267, 476, 4649, 278, 1700, 28794, 630, 1220, 280, 1916, 31568, 267, 589, 1421, 4789, 518, 267, 2098, 269, 589, 269, 1299, 24261, 267, 808, 269, 623, 269, 4427, 322, 677, 673, 7418, 547, 2500, 14479, 538, 2634, 5121, 5885, 32649, 269, 11671, 17595, 860, 807, 476, 5392, 267, 476, 3607, 279, 280, 1700, 3607, 280, 279, 630, 1001, 272, 1916, 7079, 590, 2151, 267, 670, 269, 570, 1421, 9370, 267, 681, 269, 645, 1421, 2051, 525, 267, 631, 269, 717, 269, 670, 269, 1299, 645, 2131, 330, 1359, 267, 670, 269, 3525, 1637, 540, 2534, 538, 31443, 28882, 543, 5179, 9729, 1182, 1282, 5470, 8343, 269, 14844, 11671, 338, 857, 476, 278, 267, 476, 276, 5392, 630, 1220, 275, 1916, 298, 4141, 548, 342, 6359, 333, 267, 570, 1421, 8709, 590, 2151, 267, 670, 269, 570, 1421, 645, 2131, 330, 1359, 267, 670, 1421, 744, 739, 523, 557, 671, 267, 681, 269, 1299, 808, 27255, 267, 744, 269, 16359, 2275, 677, 673, 12498, 14251, 725, 616, 1110, 4327, 676, 2953, 1145, 540, 4767, 2962, 269, 11671, 15862, 476, 2412, 267, 476, 278, 6858, 630, 1220, 279, 1916, 22349, 2378, 773, 341, 267, 590, 269, 966, 1421, 26304, 267, 595, 269, 631, 1421, 1744, 592, 2006, 267, 717, 269, 700, 269, 1299, 4856, 321, 24297, 267, 631, 269, 6987, 2858, 686, 622, 1560, 1858, 538, 1480, 1624, 760, 1388, 16794, 20781, 547, 519, 2773, 540, 5179, 3527, 269, 14844, 11671, 338, 857, 476, 278, 267, 476, 276, 5655, 630, 1220, 275, 1916, 303, 1112, 517, 267, 570, 269, 654, 1421, 28564, 514, 267, 590, 1421, 19161, 267, 623, 1421, 5213, 24739, 267, 661, 1421, 670, 11035, 731, 267, 590, 269, 589, 1421, 9652, 267, 681, 1421, 12789, 267, 16019, 267, 717, 269, 589, 1421, 681, 7867, 267, 654, 1421, 681, 1276, 7219, 267, 667, 269, 590, 1421, 681, 10212, 267, 631, 269, 667, 269, 1299, 13177, 267, 631, 269, 808, 269, 13832, 585, 1210, 1480, 2680, 5829, 30372, 547, 1353, 17133, 281, 5589, 1800, 4441, 543, 8313, 7355, 269, 5369, 30986, 476, 4391, 267, 476, 14096, 630, 1220, 271, 1916, 21595, 1067, 334, 4149, 11217, 267, 661, 1421, 26541, 534, 267, 918, 1421, 16874, 600, 22385, 330, 267, 966, 269, 1299, 570, 817, 267, 623, 269, 589, 269, 2220, 299, 3036, 4953, 288, 281, 513, 3209, 1935, 547, 7347, 2707, 31338, 543, 15222, 1436, 29821, 269, 8212, 538, 4915, 543, 7350, 476, 7367, 267, 476, 9965, 274, 1700, 5197, 271, 630, 1220, 278, 1916, 763, 4589, 616, 1360, 18507, 547, 12658, 518, 3821, 681, 10216, 585, 1200, 948, 538, 16565, 519, 661, 9680, 1239, 269, 1284, 16416, 2685, 11760, 2883, 1489, 689, 2160, 540, 6660, 8457, 5174, 545, 665, 8619, 630, 1001, 271, 674, 2752, 7482, 1040, 8121, 729, 6462, 538, 851, 676, 968, 291, 1774, 13284, 2075, 1807, 328, 27535, 674, 10345, 267, 3204, 7748, 700, 4861, 731, 807, 7616, 563, 763, 4589, 17551, 1100, 12721, 2883, 4690, 563, 10666, 713, 2376, 454, 29241, 713, 2376, 454, 3682, 14620, 1470, 267, 589, 1421, 15867, 26152, 267, 715, 1421, 2494, 15728, 328, 267, 631, 269, 1696, 620, 269, 5808, 2115, 513, 22275, 324, 286, 1215, 11234, 14912, 3527, 616, 8850, 9571, 676, 14912, 5716, 262, 2634, 269, 2233, 3115, 476, 273, 267, 476, 6434, 274, 630, 1001, 273, 1040, 4179, 2517, 8742, 3820, 270, 1015, 269, 9818, 279, 4882, 10517, 25484, 10695, 454, 2710, 532, 621, 654, 3994, 281, 589, 3590, 1738, 5623, 593, 5082, 10635, 677, 673, 543, 19884, 4856, 7758, 919, 540, 18438, 16424, 538, 14904, 609, 27096, 673, 15136, 454, 293, 3224, 4536, 538, 5274, 29249, 630, 1708, 271, 994, 22711, 540, 15465, 29249, 630, 1708, 271, 994, 22711, 540, 8212, 281, 10985, 10022, 630, 1708, 271, 994, 26199, 18614, 630, 1001, 280, 264, 0, 2026, 595, 1117, 323, 541, 22842, 5039, 531, 2021, 1282, 519, 3923, 540, 4728, 267, 649, 2811, 2921, 513, 2034, 547, 5031, 513, 1906, 13009, 4565, 1794, 619, 945, 723, 5280, 3337, 519, 1158, 649, 2661, 538, 269, 1452, 2021, 723, 1185, 513, 1713, 1764, 593, 519, 6575, 538, 3013, 8160, 7596, 21862, 839, 25538, 1676, 454, 29820, 538, 476, 6942, 278, 538, 10370, 517, 6019, 267, 17857, 267, 631, 7596, 21862, 839, 25538, 1676, 568, 4922, 1634, 607, 519, 1101, 4807, 31024, 7376, 538, 519, 772, 2529, 269, 25538, 1676, 8678, 1896, 10707, 2235, 4926, 543, 1558, 1200, 9393, 267, 717, 639, 25538, 1676, 2059, 519, 11878, 563, 5475, 1373, 679, 600, 1819, 676, 1010, 2407, 23073, 21003, 657, 267, 1352, 18617, 717, 639, 547, 4001, 1200, 875, 547, 1305, 13504, 547, 2960, 269, 2701, 5555, 2968, 513, 4487, 693, 519, 1688, 1093, 651, 4480, 543, 729, 1767, 547, 581, 835, 540, 519, 2063, 1634, 1977, 31024, 5159, 547, 3136, 519, 1148, 1510, 513, 31024, 7784, 563, 29310, 267, 519, 654, 1725, 619, 616, 20295, 609, 8744, 21003, 21749, 547, 1647, 3013, 689, 922, 8129, 593, 519, 4683, 5032, 338, 563, 313, 527, 330, 8403, 8584, 729, 4535, 538, 476, 6942, 277, 267, 513, 4759, 540, 519, 962, 23975, 21241, 13961, 26919, 14316, 269, 2991, 1373, 585, 322, 4601, 3144, 689, 519, 962, 23975, 30063, 538, 3162, 21241, 547, 581, 6026, 538, 1977, 3506, 267, 1352, 4121, 3043, 3013, 1185, 9247, 1100, 1483, 1702, 827, 6805, 1004, 543, 1352, 1305, 856, 547, 1305, 519, 2594, 2786, 563, 9515, 3459, 1603, 2123, 2984, 543, 6394, 2984 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 798, 1682, 1485, 4266, 267, 18627, 538, 19279, 476, 2641, 281, 1839, 547, 476, 2918, 2303, 602, 930, 2487, 4191, 267, 971, 607, 519, 2698, 3859, 24256, 543, 23587, 29542, 267, 2823, 754, 547, 519, 3284, 5914, 2988, 572, 563, 3719, 547, 581, 2312, 267, 2725, 1228, 3884, 1405, 6031, 519, 1158, 786, 1439, 607, 538, 21933, 3438, 730, 547, 4773, 269, 5502, 267, 646, 3081, 267, 519, 28897, 538, 519, 3883, 540, 31694, 786, 2049, 593, 20029, 269, 476, 2537, 267, 4929, 513, 3126, 540, 21472, 2621, 602, 786, 12701, 856, 936, 1896, 4374, 563, 10454, 1158, 568, 711, 10678, 267, 855, 519, 1158, 607, 649, 917, 621, 568, 10678, 2437, 646, 1767, 267, 607, 6115, 5403, 5359, 269, 1261, 8591, 267, 834, 288, 2101, 851, 540, 519, 1158, 786, 711, 581, 519, 1482, 519, 4098, 540, 5239, 4799, 9288, 1228, 781, 12605, 814, 1044, 25323, 676, 8331, 3744, 607, 513, 11876, 1314, 538, 1840, 547, 3909, 14789, 269, 3798, 853, 564, 10045, 267, 513, 2250, 528, 543, 10324, 8689, 540, 5453, 26293, 5441, 781, 25381, 24023, 4741, 267, 15861, 602, 1247, 2338, 3180, 4644, 538, 519, 2796, 540, 519, 6426, 267, 789, 1590, 333, 1405, 581, 1031, 547, 3589, 519, 3047, 781, 1439, 563, 257, 12640, 6866, 2576, 6645, 596, 789, 723, 1336, 513, 5728, 1297, 3009, 538, 519, 6426, 267, 1439, 519, 6643, 2437, 646, 5206, 563, 1432, 1772, 901, 1412, 23945, 564, 2473, 262, 888, 9288, 1228, 814, 3710, 1010, 3069, 593, 14136, 2473, 267, 849, 1634, 607, 519, 27069, 715, 756, 597, 340, 267, 799, 646, 11099, 786, 1780, 3047, 593, 20029, 269, 476, 2537, 267, 4929, 15027, 26706, 267, 20016, 600, 529, 267, 543, 16767, 267, 607, 634, 6129, 5359, 563, 22498, 814, 3181, 6064, 539, 14136, 2473, 14578, 267, 6031, 621, 781, 8806, 513, 11876, 1314, 267, 855, 972, 941, 930, 4609, 602, 2899, 10645, 8331, 568, 519, 835, 4758, 856, 519, 9963, 3823, 715, 756, 597, 340, 269, 10965, 8554, 814, 2094, 3181, 6064, 539, 713, 607, 16995, 3377, 563, 23945, 564, 2473, 267, 585, 1346, 945, 1810, 1405, 917, 267, 568, 519, 2012, 8331, 3947, 547, 2009, 2230, 3615, 602, 723, 711, 1044, 1336, 269, 32624, 267, 585, 3236, 267, 814, 2899, 1044, 1572, 607, 971, 1354, 5555, 1373, 4362, 543, 26948, 1310, 519, 5601, 540, 519, 896, 16447, 563, 2252, 519, 1158, 568, 1869, 1934, 593, 20029, 269, 476, 2537, 267, 621, 786, 723, 15068, 1614, 3284, 30575, 1186, 525, 547, 4266, 2443, 519, 824, 1079, 941, 538, 476, 1220, 274, 543, 476, 1001, 273, 563, 8489, 616, 596, 2469, 547, 581, 950, 519, 1158, 7475, 286, 14675, 1055, 538, 519, 8292, 3296, 2630, 256, 0, 763, 4681, 540, 519, 4102, 2479, 1353, 593, 519, 1480, 11646, 814, 7000, 519, 16999, 2963, 585, 519, 4719, 4493, 540, 8377, 269, 589, 2319, 540, 3173, 693, 519, 3486, 18726, 27148, 540, 19848, 6248, 3004, 1080, 3117, 24832, 723, 21845, 4719, 5439, 5833, 689, 936, 476, 4968, 267, 1822, 2043, 543, 1336, 602, 936, 476, 9610, 6753, 2066, 519, 3003, 11646, 1223, 1404, 513, 1909, 538, 8377, 7592, 563, 1607, 4440, 6941, 1946, 930, 1004, 616, 811, 2693, 547, 581, 4299, 676, 8377, 543, 1039, 3063, 2597, 267, 1247, 1866, 798, 711, 269, 1452, 4681, 723, 3370, 538, 519, 1106, 540, 476, 273, 4574, 538, 519, 4760, 7186, 267, 1141, 835, 1353, 5059, 593, 519, 4719, 4493, 540, 1141, 4010, 519, 3170, 568, 6740, 538, 519, 1560, 563, 14071, 991, 547, 917, 891, 4719, 6753, 1317, 1114, 3170, 12074, 10460, 1114, 1072, 4220, 2223, 3081, 9972, 2278, 27239, 15011, 331, 651, 267, 513, 7548, 540, 11976, 693, 519, 2160, 540, 3345, 10491, 3427, 540, 6925, 563, 2005, 568, 1134, 1634, 602, 2043, 609, 811, 3170, 1472, 519, 17737, 616, 811, 2693, 547, 581, 4299, 676, 1072, 4145, 971, 607, 3987, 543, 9025, 2068, 269, 3767, 267, 519, 3173, 723, 1336, 476, 1789, 1007, 4525, 593, 519, 11646, 602, 1223, 3313, 519, 3892, 540, 3170, 538, 519, 1560, 563, 763, 2034, 1353, 5059, 593, 519, 7681, 1063, 1560, 2527, 4994, 543, 6090, 267, 543, 1336, 602, 476, 1911, 6753, 593, 519, 3003, 11646, 1223, 581, 5532, 547, 621, 267, 543, 538, 2490, 267, 789, 1223, 581, 5532, 547, 2188, 971, 607, 14031, 543, 1648, 946, 563, 1432, 779, 9670, 568, 519, 1249, 602, 1082, 540, 891, 4719, 6753, 602, 941, 5532, 547, 8377, 941, 849, 5532, 547, 519, 8401, 1062, 563, 2108, 2791, 1810, 1406, 979, 547, 707, 11719, 626, 547, 1865, 707, 2597, 2443, 950, 649, 1589, 827, 8377, 649, 1810, 1406, 3622, 1589, 540, 519, 8401, 1062, 563, 2108, 3719, 713, 2242, 519, 1259, 649, 1589, 827, 8377, 2443, 2864, 982, 1175, 513, 10894, 2783, 5310, 621, 814, 513, 14715, 4493, 1932, 2223, 1352, 3081, 563, 763, 1249, 602, 972, 616, 1896, 4719, 4525, 12018, 8377, 3274, 1797, 602, 972, 779, 513, 2603, 547, 798, 543, 1174, 538, 519, 1184, 540, 1565, 875, 1004, 2744, 2597, 563, 2108, 5978, 960, 5693, 2982, 602, 32739, 547, 8377, 543, 2799, 19483, 568, 711, 1813, 547, 513, 2582, 5444, 610, 4719, 1689, 563, 10527, 1804, 1297, 540, 6090, 2306, 621, 1447, 2693, 602, 835, 3070, 547, 10726, 8377, 786, 960, 585, 3025, 267, 543, 10741, 519, 7450, 547, 2009, 2081, 649, 1223, 946, 4719, 10881, 547, 948, 14710, 8377, 2223, 1352, 3081, 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 ]

[ 16192, 264, 952, 4819, 2639, 1038, 2132, 20735, 454, 672, 692, 7531, 18411, 1952, 25209, 281, 667, 12396, 454, 11742, 281, 744, 18217, 1070, 1141, 715, 568, 519, 1297, 540, 9136, 563, 22129, 281, 744, 263, 1911, 876, 264, 610, 744, 263, 295, 1070, 1141, 649, 1832, 2040, 585, 1169, 1377, 543, 670, 568, 519, 4463, 540, 519, 3529, 780, 2791, 616, 1934, 2336, 7312, 678, 29025, 20054, 476, 4097, 269, 1428, 4939, 540, 9226, 22347, 3827, 563, 2791, 616, 1934, 2336, 7312, 3965, 6165, 20054, 476, 10844, 269, 3445, 4939, 540, 9226, 22347, 3827, 563, 18257, 692, 258, 9502, 585, 513, 9352, 3529, 6843, 563, 258, 1362, 30741, 24998, 2187, 258, 672, 1219, 6449, 8181, 9191, 1345, 267, 1130, 284, 271, 267, 2451, 22561, 267, 1318, 22561, 2187, 258, 1363, 1582, 22183, 815, 1130, 454, 258, 1363, 1582, 16000, 815, 2451, 454, 258, 1363, 1582, 16192, 815, 1318, 454, 5035, 8827, 24998, 2187, 825, 1219, 27811, 8867, 2314, 11764, 4311, 267, 3597, 2187, 1038, 8173, 1038, 2433, 6943, 3597, 281, 30741, 454, 1038, 2433, 337, 6943, 281, 703, 454, 1038, 8173, 1038, 18304, 815, 1496, 271, 316, 2608, 630, 1911, 876, 1341, 476, 274, 994, 1038, 1582, 27982, 291, 3704, 815, 476, 271, 454, 1038, 1219, 1265, 291, 3704, 27316, 267, 3178, 2187, 2018, 1582, 27982, 291, 3704, 815, 3193, 4311, 27982, 291, 3704, 267, 3178, 994, 27030, 2018, 18304, 314, 323, 3704, 316, 6834, 6843, 22183, 454, 2018, 952, 6843, 16000, 912, 3546, 1265, 291, 3704, 27316, 16000, 267, 3178, 1341, 476, 272, 994, 2018, 952, 6843, 16192, 912, 3546, 1265, 291, 3704, 27316, 16192, 267, 3178, 1341, 476, 272, 994, 13872, 1038, 1265, 291, 3704, 20172, 267, 476, 272, 994, 1038, 2132, 18304, 314, 1345, 27982, 291, 3704, 6540, 19638, 0, 18411, 5379, 1315, 476, 5379, 476, 14748, 20881, 504, 13213, 485, 418, 369, 489, 13644, 499, 17958, 28032, 489, 454, 419, 488, 370, 26233, 479, 16088, 420, 370, 483, 24731, 28793, 25426, 368, 30522, 494, 10254, 370, 454, 418, 493, 494, 11590, 353, 28793, 25426, 368, 16088, 272, 476, 26166, 421, 496, 509, 19540, 483, 454, 18411, 5035, 5384, 24961, 1384, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 8173, 1038, 19461, 1125, 707, 1239, 2497, 1934, 563, 1038, 8173, 1038, 1582, 28333, 815, 9949, 18743, 17338, 2020, 825, 1219, 1305, 4311, 267, 1883, 281, 1193, 267, 1871, 281, 1193, 267, 4626, 652, 2086, 281, 703, 264, 9847, 7183, 912, 1038, 1582, 28333, 314, 4486, 4940, 6572, 8443, 7407, 267, 4626, 652, 2086, 20285, 825, 1219, 1205, 4311, 267, 1883, 281, 1193, 267, 4626, 652, 2086, 281, 703, 264, 9847, 1193, 912, 1038, 952, 1883, 711, 538, 1582, 28333, 912, 2018, 2132, 1412, 7055, 13872, 1038, 585, 642, 267, 512, 538, 1582, 28333, 314, 4486, 6012, 15311, 910, 272, 14158, 2018, 952, 512, 10922, 4626, 652, 2086, 912, 3546, 2132, 642, 454, 1038, 2132, 15234, 19638, 258, 2659, 5384, 24961, 1843, 786, 581, 8216, 7007, 543, 1572, 607, 971, 912, 258, 1073, 329, 815, 5384, 24961, 4590, 258, 1073, 329, 15630, 31107, 267, 7407, 25722, 574, 652, 2086, 994, 258, 4164, 318, 273, 815, 1073, 329, 10947, 31107, 25722, 574, 652, 2086, 9239, 18411, 19867, 356, 27310, 17958, 28793, 16088, 29575, 20444, 267, 13127, 506, 357, 19867, 478, 20069, 5124, 274, 17276, 493, 494, 11590, 353, 18809, 16583, 375, 420, 368, 354, 29072, 1911, 269, 876, 260, 476, 7511, 17958, 16043, 371, 454, 19540, 483, 11858, 502, 418, 370, 486, 26033, 501, 16088, 7761, 15406, 267, 13127, 506, 357, 19867, 478, 20069, 5124, 274, 17276, 493, 494, 11590, 353, 18809, 16583, 375, 420, 368, 354, 29072, 277, 269, 1321, 260, 476, 7511, 17958, 16043, 371, 454, 18411, 5035, 5384, 24961, 1384, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 8173, 1038, 19461, 1125, 707, 1239, 2497, 1934, 563, 1038, 8173, 1038, 1582, 28333, 815, 9949, 18743, 17338, 2020, 825, 1219, 1305, 4311, 267, 1883, 281, 1193, 267, 1871, 281, 1193, 267, 4626, 652, 2086, 281, 703, 264, 9847, 7183, 912, 1038, 1582, 28333, 314, 4486, 4940, 6572, 8443, 7407, 267, 4626, 652, 2086, 20285, 825, 1219, 1205, 4311, 267, 1883, 281, 1193, 267, 4626, 652, 2086, 281, 703, 264, 9847, 1193, 912, 1038, 952, 1883, 711, 538, 1582, 28333, 912, 2018, 2132, 1412, 7055, 13872, 1038, 585, 1775, 538, 2039, 12759, 4311, 28333, 314, 4486, 8079, 910, 476, 272, 267, 910, 272, 267, 910, 272, 2187, 2018, 642, 267, 512, 815, 1582, 28333, 314, 4486, 6012, 328, 2639, 2018, 952, 512, 10922, 4626, 652, 2086, 912, 3546, 2132, 642, 454, 1038, 2132, 15234, 19638, 258, 2659, 5384, 24961, 1843, 786, 581, 8216, 7007, 543, 1572, 607, 971, 912, 258, 1073, 329, 815, 5384, 24961, 4590, 258, 1073, 329, 15630, 31107, 267, 7407, 25722, 574, 652, 2086, 994, 258, 4164, 318, 273, 815, 1073, 329, 10947, 31107, 25722, 574, 652, 2086, 2020, 0, 18411, 5263, 306, 692, 19867, 356, 27310, 17958, 28793, 16088, 3607, 20444, 267, 13127, 506, 357, 19867, 478, 20069, 5124, 274, 17276, 493, 494, 11590, 353, 18809, 16583, 375, 420, 368, 354, 29072, 6795, 269, 10170, 260, 476, 7511, 17958, 16043, 371, 454, 19540, 483, 11858, 502, 418, 370, 486, 26033, 501, 16088, 1691, 269, 280, 15406, 267, 13127, 506, 357, 19867, 478, 20069, 5124, 274, 17276, 493, 494, 11590, 353, 18809, 16583, 375, 420, 368, 354, 29072, 10602, 269, 5881, 260, 476, 7511, 17958, 16043, 371, 454, 20881, 504, 13213, 485, 418, 369, 489, 13644, 499, 17958, 28032, 489, 16088, 6507, 1315, 476, 6507, 454, 18411, 258, 9502, 585, 513, 9352, 3529, 6843, 563, 258, 1362, 30741, 912, 258, 672, 1219, 6449, 8181, 9191, 1345, 267, 1130, 284, 271, 267, 2451, 22561, 267, 1318, 22561, 2187, 258, 1363, 1582, 22183, 815, 1130, 454, 258, 1363, 1582, 16000, 815, 2451, 454, 258, 1363, 1582, 16192, 815, 1318, 454, 5035, 8827, 912, 825, 1219, 538, 3200, 21698, 4311, 267, 3597, 281, 30741, 264, 9847, 30741, 912, 1038, 952, 711, 3597, 912, 2018, 2132, 3597, 454, 1038, 3597, 16000, 267, 3597, 16192, 815, 3597, 16192, 267, 3597, 16000, 454, 1038, 1582, 23357, 3200, 21698, 20172, 16000, 994, 1038, 1582, 23357, 3200, 21698, 20172, 16192, 994, 1038, 2132, 3597, 692, 18411, 289, 12396, 692, 19867, 356, 27310, 17958, 28793, 16088, 4510, 20444, 267, 13127, 506, 357, 19867, 478, 20069, 5124, 274, 17276, 493, 494, 11590, 353, 18809, 16583, 375, 420, 368, 354, 29072, 1015, 269, 6924, 260, 476, 7511, 17958, 16043, 371, 454, 19540, 483, 11858, 502, 418, 370, 486, 26033, 501, 16088, 1691, 269, 279, 15406, 267, 13127, 506, 357, 19867, 478, 20069, 5124, 274, 17276, 493, 494, 11590, 353, 18809, 16583, 375, 420, 368, 354, 29072, 10037, 269, 1839, 260, 476, 7511, 17958, 16043, 371, 454, 20881, 504, 13213, 485, 418, 369, 489, 13644, 499, 17958, 28032, 489, 16088, 6507, 1315, 476, 6507, 454, 18411, 258, 9502, 585, 513, 9352, 3529, 6843, 563, 258, 1362, 30741, 912, 258, 672, 1219, 6449, 8181, 9191, 1345, 267, 1130, 284, 271, 267, 2451, 22561, 267, 1318, 22561, 2187, 258, 1363, 1582, 22183, 815, 1130, 454, 258, 1363, 1582, 16000, 815, 2451, 454, 258, 1363, 1582, 16192, 815, 1318, 454, 5035, 8827, 912, 825, 1219, 538, 3200, 21698, 4311, 267, 3597, 281, 30741, 264, 9847, 30741, 912, 1038, 7117, 815, 632, 4302, 4590, 1038, 952, 3597, 912, 2018, 7117, 6910, 20172, 994, 1038, 1247, 7117, 912, 2018, 6843, 815, 7117, 4877, 963, 1111, 4590, 2018, 6843, 16000, 267, 6843, 16192, 815, 6843, 16192, 267, 6843, 16000, 454, 2018, 585, 1126, 538, 1496, 27161, 16000, 267, 6843, 16192, 14158, 3546, 952, 1126, 912, 7386, 7117, 6910, 263, 18876, 2020, 1038, 2132, 3597, 454, 0, 18411, 5263, 306, 692, 19867, 356, 27310, 17958, 28793, 16088, 6434, 20444, 267, 13127, 506, 357, 19867, 478, 20069, 5124, 274, 17276, 493, 494, 11590, 353, 18809, 16583, 375, 420, 368, 354, 29072, 1321, 269, 9262, 260, 476, 7511, 17958, 16043, 371, 454, 19540, 483, 11858, 502, 418, 370, 486, 26033, 501, 16088, 866, 269, 272, 15406, 267, 13127, 506, 357, 19867, 478, 20069, 5124, 274, 17276, 493, 494, 11590, 353, 18809, 16583, 375, 420, 368, 354, 29072, 278, 269, 4962, 260, 476, 7511, 17958, 16043, 371, 454, 20881, 504, 13213, 485, 418, 369, 489, 13644, 499, 17958, 28032, 489, 16088, 2767, 1315, 476, 2767, 454, 18411, 258, 9502, 585, 513, 9352, 3529, 6843, 563, 258, 1362, 30741, 912, 258, 672, 1219, 6449, 8181, 9191, 1345, 267, 1535, 2187, 258, 1363, 1582, 22183, 815, 1535, 454, 258, 1363, 1582, 16000, 815, 7183, 454, 258, 1363, 1582, 16192, 815, 7183, 692, 5035, 8827, 912, 825, 1219, 9803, 13349, 2304, 6827, 528, 4311, 267, 3597, 281, 1412, 21698, 11966, 3299, 533, 281, 1412, 21698, 11966, 3299, 7117, 281, 1412, 21698, 11966, 10807, 9847, 1412, 21698, 11966, 12466, 1038, 952, 3597, 22183, 3436, 533, 22183, 543, 3597, 22183, 3436, 7117, 22183, 912, 2018, 2132, 1582, 269, 869, 652, 13349, 2304, 6827, 528, 20172, 16000, 267, 533, 267, 7117, 994, 1038, 8640, 3597, 22183, 2999, 533, 22183, 543, 3597, 22183, 2999, 7117, 22183, 912, 2018, 2132, 1582, 269, 869, 652, 13349, 2304, 6827, 528, 20172, 16192, 267, 533, 267, 7117, 994, 1038, 3116, 912, 2018, 2132, 3597, 8528, 18411, 28375, 692, 19867, 356, 27310, 17958, 28793, 16088, 10602, 20444, 267, 13127, 506, 357, 19867, 478, 20069, 5124, 274, 17276, 493, 494, 11590, 353, 18809, 16583, 375, 420, 368, 354, 29072, 5379, 269, 4962, 260, 476, 7511, 17958, 16043, 371, 454, 19540, 483, 11858, 502, 418, 370, 486, 26033, 501, 16088, 1240, 269, 280, 15406, 267, 13127, 506, 357, 19867, 478, 20069, 5124, 274, 17276, 493, 494, 11590, 353, 18809, 16583, 375, 420, 368, 354, 29072, 2420, 269, 1839, 260, 476, 7511, 17958, 16043, 371, 454, 20881, 504, 13213, 485, 418, 369, 489, 13644, 499, 17958, 28032, 489, 16088, 2767, 1315, 476, 2767, 454, 18411, 258, 9502, 585, 513, 9352, 3529, 6843, 563, 258, 1362, 30741, 912, 258, 672, 1219, 6449, 8181, 9191, 1345, 267, 1535, 2187, 258, 1363, 1582, 22183, 815, 1535, 454, 258, 1363, 1582, 16000, 815, 7183, 454, 258, 1363, 1582, 16192, 815, 7183, 692, 5035, 8827, 912, 825, 1219, 9803, 13349, 2304, 6827, 528, 4311, 267, 3597, 281, 1412, 21698, 11966, 3299, 533, 281, 1412, 21698, 11966, 3299, 7117, 281, 1412, 21698, 11966, 10807, 9847, 1412, 21698, 11966, 12466, 1038, 6843, 815, 3597, 454, 1038, 1247, 6936, 912, 2018, 952, 6843, 22183, 2999, 533, 22183, 543, 6843, 22183, 2999, 7117, 22183, 912, 3546, 6843, 815, 6843, 16192, 3097, 2018, 8640, 6843, 22183, 3436, 533, 22183, 543, 6843, 22183, 3436, 7117, 22183, 912, 3546, 6843, 815, 6843, 16000, 3097, 2018, 3116, 912, 3546, 2132, 6843, 3097, 1038, 2132, 7183, 3097, 13872, 0, 18411, 2791, 616, 1934, 2336, 7312, 678, 29025, 20054, 476, 279, 269, 876, 4939, 540, 9226, 22347, 3827, 563, 18257, 7531, 5035, 8827, 24998, 2187, 825, 1219, 13084, 27158, 307, 1077, 4311, 267, 23953, 267, 13214, 32284, 267, 13214, 318, 6921, 817, 2187, 1038, 8173, 1038, 2433, 6943, 23953, 281, 703, 454, 1038, 2433, 6943, 13214, 32284, 281, 703, 454, 1038, 2433, 6943, 13214, 318, 6921, 817, 281, 703, 454, 1038, 2433, 337, 6943, 281, 10581, 454, 1038, 8173, 1038, 875, 318, 21459, 815, 11713, 13872, 1038, 1948, 4737, 9847, 11680, 454, 1038, 1948, 519, 1297, 540, 11680, 538, 835, 4737, 568, 630, 992, 1775, 6253, 264, 1341, 476, 272, 454, 1038, 585, 4737, 538, 2039, 263, 638, 2044, 32284, 1341, 476, 272, 2187, 2018, 4737, 318, 6011, 318, 21459, 815, 11713, 2018, 11680, 815, 4737, 1341, 476, 272, 454, 2018, 952, 4737, 2652, 476, 271, 912, 3546, 4737, 318, 6011, 318, 21459, 815, 1496, 335, 10696, 2639, 3546, 875, 318, 21459, 6910, 21405, 318, 6011, 318, 21459, 994, 3546, 3136, 454, 27030, 2018, 2063, 32284, 815, 875, 318, 21459, 15631, 272, 316, 825, 1948, 875, 318, 21459, 314, 992, 910, 476, 272, 2639, 2018, 585, 7484, 538, 2039, 6262, 5725, 2187, 3546, 1007, 9078, 770, 32284, 815, 1496, 271, 316, 1341, 2063, 32284, 1341, 1496, 271, 2639, 3546, 17525, 815, 630, 2908, 9078, 770, 32284, 314, 24189, 316, 910, 476, 272, 952, 1007, 9078, 770, 32284, 314, 24189, 316, 3436, 476, 272, 3116, 476, 271, 264, 1341, 476, 630, 2908, 9078, 770, 32284, 314, 24189, 1341, 476, 272, 316, 910, 476, 272, 952, 1007, 9078, 770, 32284, 314, 24189, 1341, 476, 272, 316, 3436, 476, 272, 3116, 476, 271, 264, 3097, 3546, 4737 ]

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

[ 547, 519, 1650, 540, 519, 14914, 29547, 267, 5103, 519, 1249, 602, 9478, 543, 1010, 1079, 14552, 782, 1147, 16781, 1229, 593, 18703, 9335, 563, 1428, 910, 476, 4510, 1923, 6423, 782, 8292, 454, 268, 22985, 4116, 17991, 689, 7826, 1153, 1310, 2483, 268, 13787, 626, 13685, 538, 8581, 909, 676, 476, 5952, 2600, 2483, 268, 20307, 13495, 11253, 2899, 2808, 513, 22681, 2483, 268, 20307, 13495, 11253, 729, 1996, 594, 6938, 1232, 2174, 2153, 532, 563, 268, 9721, 5925, 1459, 518, 17735, 1310, 4550, 268, 3674, 571, 454, 268, 5742, 1235, 26845, 2475, 26195, 1195, 12794, 817, 685, 1289, 585, 2483, 268, 8861, 6022, 514, 568, 9494, 8285, 454, 268, 5440, 4557, 2942, 2474, 1031, 547, 4766, 9721, 2483, 268, 21035, 5182, 28792, 1635, 337, 928, 12478, 1007, 15352, 2483, 268, 17421, 2982, 9721, 4838, 2456, 1614, 1296, 2483, 2171, 1832, 32198, 519, 2053, 2250, 676, 519, 1769, 540, 519, 2486, 649, 1631, 2661, 538, 269, 1403, 649, 1223, 1689, 1018, 5949, 621, 1131, 581, 8748, 269, 1284, 991, 547, 1413, 293, 7056, 625, 607, 1134, 607, 7826, 5783, 543, 2229, 547, 16620, 585, 10363, 9772, 687, 454, 21953, 1776, 1383, 540, 3703, 2309, 1143, 543, 741, 30671, 547, 1491, 5539, 585, 5553, 540, 28112, 15967, 543, 15746, 538, 8581, 269, 10435, 2703, 2541, 305, 659, 626, 13685, 538, 8581, 909, 676, 476, 5952, 2600, 3081, 8056, 580, 7949, 7027, 454, 289, 14019, 910, 594, 14353, 594, 993, 1360, 1454, 538, 5905, 269, 5213, 1405, 7340, 594, 1869, 2661, 538, 8581, 1454, 540, 519, 1032, 269, 594, 993, 849, 3222, 602, 1346, 11082, 538, 8581, 616, 2304, 1930, 4484, 538, 2178, 20237, 540, 16851, 547, 15352, 14731, 454, 565, 913, 569, 910, 645, 6938, 309, 302, 256, 0, 289, 312, 6754, 589, 557, 454, 2690, 6850, 19945, 9455, 1949, 267, 1022, 15895, 7509, 1369, 519, 4835, 13570, 610, 26456, 602, 2306, 922, 1259, 883, 519, 2361, 568, 513, 8743, 532, 942, 10514, 1317, 621, 1223, 3132, 26688, 28198, 602, 535, 9233, 19141, 543, 14485, 267, 799, 3927, 1223, 9420, 519, 3937, 538, 2565, 3871, 269, 634, 824, 6161, 609, 28198, 568, 14809, 267, 799, 568, 1175, 607, 16160, 1317, 621, 666, 31358, 2773, 543, 2110, 523, 1587, 14438, 563, 27269, 1031, 538, 5010, 543, 4108, 3156, 267, 6850, 19945, 9455, 1949, 1419, 616, 15841, 593, 8484, 267, 21484, 641, 1562, 267, 28862, 267, 610, 16487, 693, 1164, 6173, 725, 1141, 5393, 1970, 5210, 543, 2011, 2604, 666, 2014, 28198, 1256, 609, 8766, 7509, 1459, 267, 971, 607, 602, 1336, 538, 519, 1728, 326, 14029, 8084, 15229, 1031, 547, 1711, 4835, 5547, 12545, 563, 4415, 865, 1454, 693, 7196, 267, 9755, 540, 8955, 267, 9196, 267, 8254, 267, 543, 824, 9804, 1949, 616, 5051, 8260, 908, 513, 9436, 1625, 613, 547, 530, 2590, 519, 7509, 856, 540, 11700, 17007, 543, 19659, 1354, 891, 1949, 1118, 621, 856, 547, 519, 2361, 563, 1103, 513, 9436, 1625, 613, 267, 16600, 3819, 9436, 609, 513, 632, 342, 1448, 540, 910, 3583, 5232, 17622, 568, 5189, 896, 2604, 883, 606, 26456, 610, 13570, 547, 4894, 7509, 543, 1711, 513, 1454, 5671, 518, 4835, 1604, 982, 3044, 964, 27364, 656, 666, 3035, 269, 21193, 4088, 1625, 3101, 568, 12913, 998, 20749, 2139, 1625, 3101, 1949, 610, 21139, 268, 3419, 3022, 1949, 2813, 676, 519, 1360, 8030, 8888, 519, 1587, 3294, 563, 763, 1523, 540, 513, 9436, 1625, 613, 568, 9247, 547, 834, 338, 638, 2465, 2763, 257, 519, 4835, 3334, 899, 513, 26703, 547, 4894, 1022, 15895, 11195, 610, 7509, 856, 540, 519, 1062, 543, 1287, 13021, 621, 909, 547, 1832, 519, 4835, 13570, 7509, 6954, 1282, 922, 10512, 1272, 563, 299, 268, 274, 11628, 21558, 7010, 5303, 5549, 269, 538, 2107, 1633, 334, 267, 4469, 320, 1421, 6272, 543, 3302, 999, 22795, 543, 8955, 2039, 4466, 1949, 585, 4108, 1688, 18988, 812, 268, 1636, 762, 8143, 4337, 619, 267, 1279, 24365, 13178, 1949, 267, 575, 574, 4472, 1949, 593, 812, 2740, 543, 30313, 2740, 8484, 267, 2101, 8396, 656, 17189, 8043, 267, 1507, 4323, 4739, 267, 14361, 267, 543, 4323, 26747, 829, 4593, 8554, 563, 4322, 2472, 1590, 17355, 10663, 7509, 689, 519, 8955, 13570, 609, 513, 9436, 1625, 613, 269, 634, 2754, 1625, 2471, 5111, 476, 1911, 4559, 1142, 3923, 269, 18378, 7509, 666, 2014, 14809, 543, 1860, 519, 2773, 540, 513, 8955, 563, 7197, 22795, 12268, 21871, 1164, 14617, 22795, 3146, 638, 790, 9436, 1625, 3101, 269, 1403, 519, 23541, 593, 519, 25852, 610, 519, 13310, 540, 519, 25852, 616, 12012, 538, 1022, 1259, 607, 513, 1267, 540, 2901, 12526, 610, 7509, 267, 621, 666, 13497, 1860, 922, 2773, 563, 299, 766, 2274, 743, 1515, 568, 513, 9972, 1382, 10196, 693, 595, 2255, 519, 6489, 5549, 1421, 513, 2754, 538, 932, 656, 11035, 267, 28446, 1421, 602, 10953, 8955, 2842, 8596, 602, 2268, 2842, 3432, 543, 4287, 585, 519, 2842, 1379, 2872, 269, 834, 2467, 616, 7509, 25259, 3334, 538, 891, 1949, 2437, 646, 3081, 269, 834, 12179, 28198, 666, 1711, 20893, 3101, 610, 14809, 2042, 602, 666, 1291, 547, 16349, 5821, 269, 634, 10727, 540, 519, 5057, 568, 6905, 952, 649, 1832, 621, 5665, 538, 513, 3819, 1604, 4799, 2005, 568, 513, 1455, 31605, 602, 519, 5354, 540, 519, 7509, 538, 513, 20177, 13570, 610, 26456, 568, 8659, 538, 519, 8900, 4320, 540, 2011, 269, 769, 1249, 267, 519, 5354, 540, 519, 7509, 568, 8659, 538, 519, 1728, 326, 14029, 8084, 2326, 267, 971, 607, 1455, 5547, 12545, 610, 824, 5068, 3334, 1369, 519, 26456, 563, 295, 17789, 14029, 8084, 15229, 11593, 10110, 7509, 689, 519, 5790, 543, 666, 5305, 602, 7509, 896, 2837, 15203, 543, 824, 2825, 2188, 563, 2171, 1336, 519, 4835, 11418, 941, 519, 1292, 27521, 585, 513, 2603, 540, 15895, 7509, 269, 1403, 596, 1810, 1405, 1491, 1416, 540, 602, 7509, 609, 513, 9436, 1625, 613, 267, 1282, 10917, 4783, 4152, 649, 1131, 1294, 621, 8915, 607, 11195, 543, 7509, 3330, 519, 1770, 563, 3080, 2101, 1114, 328, 1807, 538, 20749, 2139, 9436, 1625, 613, 1949, 568, 519, 3903, 1063, 2582, 15304, 543, 12242, 15304, 1625, 613, 1949, 269, 12465, 1625, 613, 1949, 616, 3335, 12242, 15304, 267, 609, 16600, 1673, 787, 9436, 10024, 998, 835, 2823, 543, 608, 1746, 856, 1776, 563, 763, 2025, 1153, 1505, 568, 547, 2196, 9436, 998, 519, 1062, 267, 2356, 693, 606, 11506, 2837, 267, 1141, 596, 2811, 9247, 3843, 547, 27106, 856, 1022, 7509, 563, 19013, 267, 1082, 12242, 1625, 3101, 1949, 3668, 1022, 1483, 1797, 540, 3067, 2305, 538, 6935, 547, 4835, 632, 342, 1448, 269, 4634, 952, 513, 632, 342, 1448, 9300, 568, 1031, 547, 22945, 519, 856, 6503, 532, 3154, 267, 621, 568, 2009, 547, 2132, 2663, 543, 3605, 513, 632, 342, 1448, 21782, 1317, 1346, 1728, 326, 14029, 8084, 2326, 1369, 519, 26456, 5950, 3606, 7509, 563, 4415, 519, 12242, 1790, 25973, 1505, 267, 594, 1185, 1100, 11050, 1259, 547, 917, 1018, 1250, 11807, 632, 342, 1448, 729, 610, 950, 594, 1185, 6913, 621, 269, 1403, 594, 1625, 3022, 513, 1770, 585, 3670, 547, 5216, 3108, 267, 594, 1185, 547, 8263, 621, 1185, 8499, 12015, 856, 519, 13570, 563, 4415, 513, 12242, 15304, 1625, 613, 1062, 1776, 1761, 3390, 568, 602, 607, 519, 3154, 8928, 998, 689, 519, 13675, 547, 14827, 267, 621, 5932, 513, 834, 577, 14128, 257, 540, 3154, 269, 1284, 6033, 1196, 323, 625, 540, 3154, 1590, 23309, 3564, 519, 1292, 2095, 2619, 547, 3914, 883, 519, 18015, 267, 1212, 341, 1182, 267, 610, 824, 22836, 543, 267, 4061, 267, 949, 711, 4625, 4894, 519, 7509, 538, 519, 4835, 2011, 610, 519, 8652, 2675, 8084, 4835, 3334, 563, 288, 2582, 15304, 9436, 1625, 3101, 1062, 267, 593, 519, 824, 1688, 267, 3091, 1896, 5383, 269, 5221, 621, 3322, 1152, 835, 14827, 270, 18782, 2823, 267, 513, 2582, 15304, 1062, 5932, 513, 2046, 28962, 1604, 585, 519, 16600, 1673, 787, 3154, 543, 2636, 585, 3067, 16666, 6482, 540, 519, 632, 342, 1448, 593, 14827, 269, 901, 1826, 540, 1062, 5526, 547, 9004, 519, 6161, 936, 4625, 15018, 856, 519, 2898, 1062, 563, 28723, 21558, 7010, 5303, 4362, 513, 2582, 15304, 1625, 613, 1062, 689, 589, 14875, 29597, 518, 6513, 338, 538, 570, 1075, 5459, 267, 589, 10961, 269, 589, 14875, 3091, 513, 3099, 540, 2472, 585, 519, 1852, 543, 5464, 540, 7509, 267, 1519, 964, 27364, 2209, 543, 11195, 10832, 269, 634, 2754, 849, 3091, 1896, 3631, 630, 1636, 762, 267, 24646, 25236, 539, 264, 540, 9436, 8476, 1625, 3101, 1949, 630, 20911, 4916, 1916, 4415, 519, 17252, 4916, 1770, 267, 3819, 3154, 630, 20200, 1227, 9436, 264, 13788, 519, 13570, 610, 26456, 998, 513, 2582, 2823, 543, 568, 2046, 28962, 547, 513, 840, 1673, 17827, 623, 10485, 1354, 513, 11896, 10741, 543, 519, 3154, 1394, 6503, 338, 1394, 883, 519, 1770, 269, 1703, 621, 10596, 513, 632, 342, 1448, 6895, 543, 10525, 519, 1699, 632, 342, 15304, 2837, 269, 634, 9436, 568, 1287, 642, 5034, 547, 519, 5790, 543, 513, 1007, 4783, 862, 1878, 269, 901, 15203, 5170, 2394, 519, 3937, 10301, 519, 2838, 632, 342, 15304, 1377, 267, 693, 799, 1448, 621, 8850, 695, 7491, 1055, 563, 763, 17252, 4916, 1062, 568, 2653, 547, 946, 269, 1411, 13622, 621, 909, 547, 513, 2582, 2823, 267, 2824, 513, 2604, 4259, 543, 5551, 3803, 632, 342, 1448, 267, 543, 950, 519, 1625, 613, 568, 6192, 267, 519, 1062, 7140, 1055, 8850, 269, 1280, 721, 267, 621, 29765, 4238, 563, 2690, 2274, 743, 1515, 540, 595, 2255, 519, 6489, 5549, 1421, 519, 2582, 15304, 1625, 613, 17252, 4916, 1185, 606, 3773, 1871, 269, 834, 2467, 781, 1152, 835, 6445, 518, 11896, 602, 2115, 547, 581, 8704, 267, 3079, 540, 1079, 269, 1411, 4688, 513, 2370, 593, 4702, 543, 2694, 3790, 269, 898, 568, 711, 513, 16854, 9494, 267, 855, 596, 849, 9004, 1776, 1761, 1448, 540, 5821, 267, 799, 568, 2141, 1434, 4799, 4415, 1697, 3067, 2305, 543, 519, 13128, 9505, 11325, 4183, 950, 519, 5551, 632, 342, 1448, 568, 6913, 267, 1312, 589, 557, 543, 2274, 743, 1515, 1867, 513, 1713, 9494, 538, 9436, 3790, 267, 607, 1134, 607, 513, 1713, 9494, 538, 942, 540, 1625, 613, 563, 4002, 513, 6093, 1770, 1210, 519, 2025, 1153, 1505, 267, 513, 9436, 1625, 613, 1131, 1491, 3670, 547, 5216, 3108, 269, 2060, 519, 17252, 4916, 1062, 267, 649, 1223, 798, 519, 1482, 1625, 613, 538, 476, 3393, 3764, 865, 3648, 1447, 12531, 540, 9436, 616, 1031, 543, 649, 917, 585, 2386, 950, 649, 616, 2944, 269, 898, 711, 1152, 10710, 2724, 267, 855, 849, 729, 513, 2101, 942, 1094, 591, 563, 19489, 27749, 5442, 19489, 7246, 3582, 3643, 589, 14875, 29597, 518, 6513, 338, 2228, 693, 8940, 269, 698, 332, 935, 1555, 518, 2593, 563, 26469, 589, 557, 568, 7022, 540, 11628, 21558, 7010, 5303, 267, 513, 6498, 540, 700, 268, 274, 18058, 269, 0, 288, 1808, 2542, 7411, 4386, 950, 513, 2875, 3112, 1451, 547, 1224, 3362, 1256, 1498, 789, 723, 1185, 1434, 24875, 269, 4107, 1453, 2253, 547, 1224, 1079, 555, 8674, 540, 741, 1259, 998, 741, 1101, 1032, 693, 1153, 630, 289, 320, 6033, 267, 476, 1960, 278, 264, 693, 8726, 2085, 621, 568, 602, 789, 2253, 1153, 563, 2252, 789, 798, 711, 2253, 547, 1224, 693, 713, 1448, 1287, 789, 786, 991, 6351, 1565, 547, 1224, 563, 10214, 952, 741, 1966, 568, 513, 3500, 30553, 519, 824, 1053, 538, 741, 1362, 786, 723, 6410, 593, 27268, 269, 1358, 786, 991, 948, 547, 6952, 909, 563, 763, 6437, 568, 2966, 547, 1450, 1256, 1053, 609, 513, 1970, 21842, 547, 1451, 547, 1224, 267, 4352, 891, 1053, 1491, 513, 2370, 3476, 982, 519, 3328, 2875, 563, 1692, 666, 513, 2542, 7411, 581, 5280, 888, 14818, 532, 585, 17391, 610, 3308, 829, 24632, 7965, 949, 1118, 519, 2601, 585, 519, 2542, 7411, 2312, 269, 769, 1931, 547, 2253, 547, 1224, 267, 3308, 8226, 543, 17391, 8226, 1058, 581, 8449, 1434, 269, 18007, 6511, 666, 798, 713, 4152, 585, 596, 563, 16498, 4152, 676, 606, 744, 20953, 332, 6048, 267, 610, 25833, 8838, 2210, 2077, 547, 2638, 593, 519, 2702, 540, 519, 4064, 547, 1294, 5693, 267, 27721, 8308, 267, 543, 3950, 12347, 568, 1271, 269, 10748, 328, 5852, 4152, 547, 2327, 602, 519, 10772, 5873, 5693, 568, 8449, 1271, 563, 2252, 519, 10772, 5873, 1134, 1287, 513, 1434, 18551, 1982, 949, 948, 950 ]

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

[ 942, 8884, 2838, 547, 3914, 547, 519, 5021, 12761, 693, 1318, 1189, 22221, 2053, 269, 19612, 2433, 269, 654, 5896, 281, 634, 942, 8884, 2838, 547, 3914, 547, 519, 5021, 12761, 693, 1318, 1189, 22221, 2053, 269, 8827, 2433, 269, 634, 4806, 540, 519, 1843, 19089, 2433, 780, 2791, 1522, 991, 948, 609, 713, 835, 865, 649, 3513, 798, 621, 782, 1927, 269, 901, 568, 513, 1582, 2966, 2978, 267, 543, 835, 540, 519, 1906, 2407, 2328, 22705, 538, 938, 1576, 269, 20970, 543, 28687, 1643, 2906, 476, 273, 269, 23317, 476, 274, 269, 26365, 8212, 476, 275, 780, 2691, 596, 726, 3089, 513, 13176, 5569, 267, 519, 4611, 3280, 814, 513, 11931, 3159, 543, 16569, 513, 1279, 942, 7612, 634, 5569, 5854, 919, 1472, 606, 11466, 2990, 267, 543, 835, 14251, 566, 568, 6192, 950, 519, 5569, 6238, 689, 519, 3355, 2990, 267, 12599, 547, 835, 540, 519, 3665, 7158, 267, 1287, 547, 519, 824, 3665, 2990, 267, 543, 7024, 547, 922, 3355, 2990, 269, 1284, 5581, 13350, 5163, 547, 581, 1022, 5163, 602, 28197, 3294, 693, 2834, 942, 11996, 267, 971, 607, 17820, 676, 519, 13176, 5569, 610, 676, 513, 1126, 2220, 15781, 593, 513, 18711, 269, 769, 713, 3296, 267, 649, 1353, 519, 2596, 4162, 540, 14251, 725, 543, 741, 6310, 6609, 269, 769, 519, 9000, 540, 11508, 267, 519, 942, 547, 2347, 835, 14251, 566, 3788, 3586, 543, 568, 1572, 519, 1974, 570, 269, 4706, 4559, 616, 2356, 7643, 267, 855, 949, 581, 1022, 10375, 1770, 540, 942, 269, 589, 1523, 5702, 1644, 547, 1974, 568, 519, 4908, 540, 606, 2680, 780, 1012, 1411, 991, 547, 723, 10084, 29441, 13087, 538, 1931, 547, 1569, 713, 3135, 780, 763, 5569, 5854, 919, 1472, 606, 11466, 2990, 267, 543, 835, 14251, 566, 568, 6192, 950, 519, 5569, 6238, 689, 519, 3355, 2990, 267, 12599, 547, 835, 540, 519, 3665, 7158, 267, 1287, 547, 519, 824, 3665, 2990, 267, 543, 7024, 547, 922, 3355, 2990, 269, 1284, 5581, 13350, 5163, 547, 581, 1022, 5163, 602, 28197, 3294, 693, 2834, 942, 11996, 267, 971, 607, 17820, 676, 519, 13176, 5569, 610, 676, 513, 1126, 2220, 15781, 593, 513, 18711, 269, 769, 713, 3296, 267, 649, 1353, 519, 2596, 4162, 540, 14251, 725, 543, 741, 6310, 6609, 269, 769, 519, 9000, 540, 11508, 267, 519, 942, 547, 2347, 835, 14251, 566, 3788, 3586, 543, 568, 1572, 519, 1974, 570, 269, 4706, 4559, 616, 2356, 7643, 267, 855, 949, 581, 1022, 10375, 1770, 540, 942, 780, 306, 1440, 902, 616, 513, 5929, 1383, 540, 23191, 5163, 267, 593, 9504, 596, 666, 1205, 513, 9787, 540, 519, 9238, 269, 5576, 928, 3187, 9322, 605, 1535, 331, 642, 1724, 4647, 269, 5999, 476, 275, 910, 634, 5021, 10231, 540, 513, 9325, 3001, 609, 2241, 23191, 5163, 568, 269, 16952, 10819, 281, 476, 272, 4208, 568, 2241, 23191, 5163, 865, 1455, 538, 8106, 11707, 286, 769, 519, 8545, 649, 10839, 513, 3070, 543, 6542, 602, 621, 1281, 14183, 519, 11186, 3830, 269, 634, 1761, 585, 519, 23191, 29473, 650, 1807, 568, 519, 2067, 3070, 1169, 1761, 609, 1507, 14251, 725, 693, 519, 5934, 269, 1284, 723, 2614, 2724, 2042, 543, 3435, 5473, 2241, 23191, 5163, 543, 3875, 2835, 10070, 689, 535, 11881, 547, 3621, 1382, 538, 1022, 1259, 780, 26524, 281, 476, 272, 476, 273, 476, 274, 476, 275, 476, 276, 476, 277, 476, 278, 476, 279, 476, 280, 476, 1015, 476, 1556, 476, 1321, 476, 1724, 476, 1691, 476, 1428, 8212, 11822, 15053, 4577, 18289, 10298, 269, 476, 272, 269, 589, 6567, 11899, 9325, 7575, 607, 1599, 540, 942, 607, 5205, 780, 1012, 6796, 1133, 19989, 538, 9167, 3148, 692, 21296, 14893, 609, 21450, 2953, 2626, 476, 272, 269, 634, 1974, 540, 14251, 566, 540, 513, 2241, 28764, 540, 3259, 700, 17735, 689, 519, 8122, 540, 513, 6174, 799, 7575, 1510, 11508, 1524, 606, 20916, 7077, 540, 31007, 513, 568, 2016, 676, 1496, 7436, 316, 5775, 269, 26840, 513, 4564, 519, 2953, 2626, 780, 396, 363, 18194, 3264, 13953, 13150, 8563, 7846, 19628, 10780, 3378, 15800, 4709, 13150, 31589, 7549, 30530, 4138, 267, 11012, 397, 491, 4814, 269, 476, 1109, 268, 2843, 509, 4138, 6459, 30324, 10780, 13833, 21268, 4709, 7846, 6459, 31502, 15800, 11012, 7549, 4814, 9924, 6459, 31502, 11714, 17095, 3522, 16648, 4138, 4709, 3264, 269, 2843, 498, 8563, 21268, 20500, 3522, 30935, 14359, 4138, 9261, 30935, 17153, 6459, 5284, 379, 4709, 7846, 20977, 4736, 9841, 780, 2971, 808, 7417, 6301, 8212, 11822, 15053, 4577, 18289, 19881, 5729, 5999, 609, 10298, 692, 396, 356, 3264, 6459, 13833, 3264, 7549, 267, 17095, 17095, 30324, 18775, 21134, 7846, 16068, 4709, 21660, 10528, 13077, 8563, 4138, 6459, 2843, 510, 25974, 4138, 3378, 269, 29112, 4344, 13077, 4709, 21170, 267, 10780, 19757, 7846, 9261, 3522, 6459, 16068, 4709, 267, 24893, 26580, 11012, 3264, 15671, 19757, 4709, 9326, 11714, 3264, 10948, 21268, 21134, 27188, 21833, 3264, 11714, 4344, 18775, 26281, 24893, 3264, 6459, 13833, 3264, 7549, 15800, 4709, 16021, 16417, 4736, 7846, 20046, 31502, 16044, 491, 28821, 9261, 14359, 27671, 20500, 27671, 269, 910, 1109, 396, 506, 4138, 13150, 21268, 2843, 497, 7846, 13150, 3522, 32553, 4736, 32648, 286, 1109, 268, 14359, 3264, 27188, 9686, 21268, 21833, 3522, 6459, 31502, 16068, 4344, 11012, 9261, 3264, 20732, 18547, 2843, 510, 17201, 28027, 4709, 269, 476, 1109, 268, 2843, 507, 7846, 269, 2843, 363, 16044, 483, 18775, 3378, 20732, 3378, 31128, 15671, 3378, 23970, 20265, 19628, 269, 2843, 499, 4736, 20434, 11714, 9924, 10780, 23485, 4709, 27799, 3264, 16021, 20413, 4709, 3264, 31128, 15671, 3378, 10780, 3522, 4736, 10528, 18775, 4344, 267, 476, 9326, 10780, 5284, 371, 3522, 16648, 3378, 10948, 7846, 4736, 9841, 267, 24893, 4344, 29652, 9924, 16068, 4709, 31128, 15671, 3378, 10780, 17201, 7846, 10948, 4138, 6459, 780, 396, 353, 32648, 16021, 13953, 4709, 29824, 30324, 9326, 4709, 7846, 6459, 476, 31589, 7549, 7846, 269, 2843, 495, 23485, 4709, 7549, 21268, 17153, 3378, 32553, 32553, 11012, 3378, 11012, 9261, 7846, 27569, 12811, 21162, 9261, 11714, 4138, 9686, 21134, 10780, 13833, 21268, 4709, 7846, 6459, 31502, 17095, 2843, 506, 4138, 9686, 21833, 281, 910, 1109, 396, 511, 26580, 2843, 498, 21833, 3522, 16648, 16648, 3522, 269, 2843, 508, 4709, 16044, 483, 3378, 10948, 20046, 10780, 22147, 13833, 18775, 4138, 31224, 11012, 269, 2843, 498, 4138, 16417, 7549, 4344, 18775, 20413, 20046, 4709, 7846, 6459, 21660, 14359, 3264, 3264, 21660, 13150, 18775, 5284, 370, 12811, 21162, 13953, 11714, 13194, 15671, 31124, 9686, 267, 14359, 3378, 2843, 506, 4138, 9686, 21833, 27188, 21833, 3264, 25338, 3264, 21833, 3522, 20977, 17095, 25602, 10528, 10528, 3522, 13077, 4344, 7846, 269, 2843, 508, 20265, 476, 16417, 20732, 4138, 20977, 11714, 7549, 6459, 19628, 10948, 4138, 31224, 28314, 4814, 21134, 7549, 7846, 19628, 11012, 8563, 9326, 13194, 9841, 269, 910, 1109, 396, 350, 6459, 7846, 20732, 3522, 19628, 267, 2843, 498, 21833, 3522, 16648, 16648, 3522, 269, 2843, 506, 20046, 3522, 6459, 20434, 10948, 27799, 24012, 13953, 28314, 17201, 25974, 2843, 498, 21833, 3522, 16648, 16648, 9924, 30935, 10528, 17201, 17221, 6459, 17095, 21134, 4709, 19277, 7846, 281, 910, 1109, 396, 506, 4138, 9686, 21833, 267, 476, 9326, 11714, 28314, 20977, 8563, 4709, 21134, 25338, 31606, 7549, 3264, 18194, 31606, 21162, 17153, 780, 396, 508, 20265, 11012, 476, 4344, 31589, 9686, 21134, 11012, 9686, 21268, 21833, 4138, 27593, 20977, 11012, 6459, 3264, 13194, 9924, 269, 910, 1109, 396, 350, 4344, 13077, 4344, 9261, 18775, 2507, 16068, 4709, 2507, 910, 1109, 396, 506, 9924, 23970, 20265, 27671, 267, 1109, 268, 14359, 3264, 18194, 3522, 6459, 31128, 13953, 18194, 22147, 13833, 18775, 4138, 31224, 2843, 495, 23485, 4709, 7549, 21268, 17153, 3378, 32553, 32553, 269, 476, 1109, 268, 2843, 508, 4709, 16068, 16648, 3378, 20732, 3264, 6459, 11012, 4138, 13150, 27671, 7846, 29112, 7549, 8563, 5284, 371, 9841, 11012, 4344, 4814, 26281, 269, 910, 1109, 396, 498, 3522, 2507, 15800, 2507, 910, 11012, 6459, 13833, 3522, 30935, 13150, 16417, 27593, 20434, 27188, 14359, 3264, 3264, 11714, 28314, 18775, 6459, 3264, 269, 2843, 508, 4709, 27188, 16648, 4138, 6459, 2843, 498, 397, 491, 8563, 4138, 28027, 269, 2843, 495, 23485, 4709, 7549, 21268, 17153, 3378, 32553, 32553, 10780, 17201, 5284, 370, 4138, 6459, 476, 31589, 7549, 7846, 31128, 13953, 21660, 10780, 6459, 3264, 10948, 3378, 780, 29551, 17095, 3522, 7549, 26281, 25338, 9924, 11012, 4344, 13077, 4709, 3264, 11714, 9924, 14359, 4138, 21660, 17153, 19757, 4138, 20434, 4736, 9841, 267, 11714, 3378, 11714, 4736, 3264, 17153, 27188, 10948, 16417, 21833, 9686, 23845, 9326, 17153, 18194, 3264, 13953, 13150, 8563, 7846, 20046, 16068, 9686, 21170, 15800, 476, 26580, 2843, 370, 3264, 10780, 13077, 8563, 4138, 6459, 3378, 281, 14359, 4138, 7549, 26580, 18194, 17201, 15671, 3378, 14359, 3264, 11714, 9924, 9686, 21268, 21833, 4138, 27593, 20046, 23970, 8563, 32648, 18547, 476, 16021, 6459, 3264, 32553, 32648, 4709, 22147, 3378, 25602, 10528, 10528, 3522, 13077, 25000, 269, 2843, 507, 3264, 11714, 3522, 21833, 21170, 267, 11012, 7549, 17201, 9841, 7549, 3378, 10780, 25974, 20046, 4138, 16021, 6459, 3264, 13953, 11012, 26580, 9326, 4344, 11714, 16068, 10948, 3264, 16417, 9686, 4138, 267, 1109, 268, 11012, 3264, 7549, 16417, 25000, 4814, 9841, 11714, 4736, 3264, 15671, 28027, 25338, 4814, 25974, 4138, 4344, 11714, 4736, 3264, 18194, 3264, 20977, 15800, 10780, 25974, 10528, 3264, 20732, 4138, 4344, 10780, 19757, 4709, 9326, 31224, 476, 4344, 31589, 16648, 7549, 7846, 269, 2843, 495, 3264, 7549, 7549, 21268, 16068, 4344, 16648, 4138, 6459, 16044, 486, 3264, 13150, 4138, 13194, 20265, 10948, 21162, 13953, 14359, 21134, 21268, 269, 2843, 499, 27569, 3264, 10780, 3522, 13077, 11012, 3264, 7549, 7846, 4709, 9686, 267, 15800, 31128, 15671, 3378, 11012, 3378, 29391, 4138, 17221, 20434, 11012, 25338, 17201, 9841, 17221, 10948, 21162, 9261, 16068, 32553, 25986, 21134, 780, 396, 499, 9261, 7846, 14359, 3264, 25338, 9924, 6459, 3378, 14359, 7846, 21833, 9686, 9924, 11714, 9924, 25986, 24012, 8563, 28476, 2843, 495, 3264, 7549, 7549, 3264, 13077, 11714, 476, 4344, 17201, 10528, 3264, 267, 11714, 9924, 17153, 19757, 9326, 27569, 3264, 13953, 15800, 13194, 16044, 484, 21268, 7549, 8563, 4138, 281, 2843, 370, 21268, 4344, 27593, 11714, 2843, 375, 13833, 7846, 20732, 7549, 3264, 267, 11714, 4736, 3264, 11012, 6459, 5284, 370, 4138, 6459, 25974, 9841, 21660, 476, 16417, 9686, 7549, 3378, 13150, 9841, 27188, 28027, 10948, 21170, 269, 2843, 507, 7846, 21833, 21170, 476, 4344, 17201, 9841, 7549, 3378, 11714, 9924, 16648, 13077, 31224, 20413, 21134, 12811, 4344, 267, 24893, 4344, 29652, 9924, 11012, 9686, 3264, 6459, 28476, 16044, 491, 26580, 476, 28821, 17153, 3378, 780, 3849, 1749, 267, 1109, 268, 29824, 3378, 20732, 3264, 10528, 25000, 6459, 24893, 3264, 6459, 13833, 3264, 7549, 15800, 25338, 4814, 25974, 4138, 6459, 31502, 21660, 14359, 3264, 15671, 3378, 10780, 19757, 29652, 21170, 10780, 31606, 16021, 16417, 269, 2843, 510, 3522, 13194, 28027, 6459, 31502, 11714, 9924, 13150, 16417, 6459, 267, 20413, 3264, 23783, 7549, 4709, 7846, 6459, 3378, 24893, 26580, 268, 26580, 17095, 13077, 4736, 21170, 3264, 269, 2843, 507, 3378, 16044, 491, 26580, 25338, 9924, 20977, 14359, 3264, 17095, 4814, 13833, 9841, 780, 10468, 514, 267, 1109, 268, 11012, 17201, 15671, 3522, 6459, 14359, 27671, 3264, 20500, 269, 476, 1109, 268, 2843, 363, 14359, 3264, 269, 2843, 363, 11012, 3264, 13953, 10948, 3522, 4736, 2843, 370, 3264, 16068, 4344, 10528, 13077, 8563, 6459, 19628, 31128, 3264, 18194, 21134, 26281, 269, 0, 258, 554, 342, 273, 338, 565, 910, 4569, 476, 16409, 281, 10789, 545, 10395, 13541, 923, 14581, 476, 273, 13718, 1607, 12744, 2982, 3817, 476, 272, 1700, 273, 269, 6178, 909, 547, 2070, 519, 2407, 1543, 780, 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, 4462, 8971, 1540, 1257, 12744, 281, 4569, 476, 16409, 281, 10789, 545, 10395, 13541, 923, 14581, 476, 273, 10298, 476, 272, 269, 277, 769, 1142, 851, 267, 513, 5311, 2715, 513, 562, 7684, 562, 21759, 25389, 519, 2016, 24088, 6935, 269, 4855, 519, 8723, 1379, 3126, 10451, 1599, 540, 519, 5311, 269, 630, 320, 264, 513, 562, 1341, 476, 272, 815, 476, 274, 513, 562, 1341, 476, 273, 1141, 630, 562, 21759, 476, 271, 282, 513, 815, 3738, 1547, 8827, 269, 2913, 535, 630, 1535, 3738, 815, 3980, 495, 562, 21759, 513, 562, 1535, 562, 1547, 1160, 3865, 532, 609, 519, 1505, 13890, 538, 8791, 476, 272, 269, 273, 269, 272, 649 ]

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

[ 2367, 22867, 695, 600, 6804, 6411, 609, 2367, 543, 8391, 538, 2933, 519, 1813, 15163, 585, 741, 5470, 4799, 4913, 267, 972, 616, 849, 15102, 538, 519, 6426, 602, 11168, 2648, 267, 8296, 267, 543, 10343, 269, 1280, 1383, 267, 3627, 476, 274, 281, 1626, 2829, 267, 834, 2690, 2696, 865, 6068, 519, 1158, 267, 602, 646, 5795, 1010, 1152, 12312, 267, 602, 945, 1197, 11099, 538, 1864, 1058, 711, 829, 880, 855, 723, 18163, 1272, 1701, 6684, 267, 8895, 520, 2103, 476, 274, 281, 2764, 2829, 267, 834, 2467, 568, 9444, 4035, 6862, 5259, 267, 972, 568, 9444, 10553, 6862, 1863, 267, 972, 568, 1100, 5256, 543, 4775, 267, 585, 596, 616, 782, 835, 538, 2441, 4906, 4799, 763, 7826, 5783, 781, 4013, 18879, 593, 32270, 814, 849, 7960, 936, 942, 269, 769, 519, 2250, 267, 519, 5783, 814, 28715, 28305, 6411, 607, 5609, 995, 269, 1717, 267, 538, 2487, 1296, 267, 972, 814, 1044, 513, 3152, 8561, 593, 1620, 543, 10343, 269, 769, 476, 1001, 274, 267, 15352, 14731, 28020, 1767, 267, 834, 8005, 993, 594, 547, 9794, 8119, 950, 4280, 827, 14447, 20577, 269, 1261, 814, 849, 1572, 585, 519, 5783, 547, 581, 811, 22205, 547, 10349, 1004, 563, 4407, 519, 6426, 543, 519, 7826, 5783, 723, 1950, 543, 9687, 5784, 593, 32270, 267, 972, 568, 513, 3395, 7678, 2509, 1620, 543, 10343, 269, 901, 568, 10630, 538, 519, 2810, 1297, 540, 7826, 13039, 602, 616, 22205, 547, 10349, 1004, 269, 0, 1432, 568, 711, 10677, 762, 888, 15648, 14014, 3312, 1568, 538, 519, 2686, 543, 7499, 4610, 269, 18882, 1275, 568, 513, 2629, 3693, 585, 513, 960, 547, 581, 6870, 676, 10677, 269, 898, 1797, 602, 513, 960, 2813, 676, 835, 1268, 786, 581, 1114, 689, 513, 2147, 960, 2813, 676, 1776, 1268, 267, 607, 1279, 607, 621, 814, 711, 1044, 23652, 689, 519, 824, 960, 269, 1403, 513, 960, 568, 1932, 2241, 547, 2408, 2189, 267, 621, 949, 711, 581, 6870, 676, 10677, 1813, 547, 3668, 540, 5169, 1275, 269, 25315, 956, 540, 4930, 610, 2835, 616, 3622, 711, 2808, 10677, 762, 607, 789, 616, 1932, 2110, 269, 4014, 3084, 10677, 4031, 798, 711, 12799, 2446, 602, 10643, 616, 711, 10677, 762, 267, 789, 616, 2356, 711, 6870, 676, 10677, 563, 763, 1377, 540, 5169, 1275, 2838, 585, 513, 960, 547, 581, 6870, 676, 10677, 666, 4268, 676, 16278, 269, 1280, 1383, 267, 1699, 3377, 2984, 949, 711, 581, 2808, 10677, 762, 538, 930, 2477, 267, 1247, 538, 1866, 267, 789, 949, 581, 6870, 676, 10677, 267, 1256, 952, 789, 616, 1641, 547, 513, 10677, 9868, 269, 14645, 14014, 519, 2189, 4082, 540, 5013, 267, 2093, 267, 610, 3741, 676, 513, 1808, 2278, 267, 2864, 982, 519, 5817, 5013, 267, 2093, 267, 610, 3741, 2933, 563, 15371, 513, 960, 568, 10677, 762, 814, 1100, 4276, 547, 2436, 621, 568, 10363, 610, 19275, 676, 1876, 689, 1373, 3370, 610, 22412, 730, 269, 1280, 3236, 267, 27127, 4919, 610, 25848, 2940, 1568, 949, 581, 19275, 538, 930, 2477, 267, 855, 789, 666, 1869, 581, 6870, 676, 10677, 269, 1717, 267, 30191, 10677, 538, 971, 22875, 1141, 519, 960, 568, 10363, 610, 17049, 949, 581, 4101, 267, 2523, 952, 621, 1131, 1611, 16153, 1154, 547, 7803, 2534, 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 ]

[ 1291, 803, 267, 1287, 267, 1315, 1677, 519, 960, 799, 568, 9553, 10590, 901, 1899, 14753, 547, 519, 2956, 540, 8362, 5275, 856, 543, 8508, 938, 4938, 566, 267, 2864, 982, 3274, 7996, 585, 621, 547, 2097, 547, 721, 269, 898, 849, 19595, 721, 602, 938, 4938, 566, 568, 1945, 602, 649, 1590, 8362, 960, 2509, 267, 2864, 982, 3274, 1780, 1947, 16561, 621, 563, 1103, 3932, 267, 834, 309, 6327, 257, 568, 513, 3532, 543, 11121, 6648, 602, 7512, 721, 547, 6432, 547, 938, 12271, 543, 1246, 938, 18653, 267, 1100, 2339, 1018, 9465, 949, 1796, 538, 938, 1259, 269, 898, 19595, 721, 602, 938, 4938, 566, 568, 513, 2707, 540, 4222, 543, 3483, 267, 543, 602, 676, 8508, 621, 267, 649, 666, 711, 1152, 10802, 938, 1378, 2729, 267, 855, 849, 1118, 513, 2318, 1764, 593, 519, 1158, 1472, 721, 563, 22437, 655, 5811, 540, 966, 6327, 676, 15887, 785, 3757, 987, 22105, 648, 585, 2673, 2542, 454, 3891, 1767, 602, 713, 729, 849, 519, 942, 585, 1864, 547, 979, 547, 1153, 269, 3807, 607, 621, 4991, 4158, 538, 519, 5127, 267, 594, 666, 1294, 1524, 269, 7726, 476, 736, 281, 1548, 1705, 519, 10564, 798, 950, 922, 4158, 286, 634, 1126, 538, 519, 6648, 16858, 547, 581, 513, 17761, 12027, 267, 513, 32529, 267, 543, 513, 4585, 2006, 269, 1261, 1281, 1018, 646, 15055, 609, 1010, 838, 1228, 267, 646, 11934, 1010, 9660, 609, 7452, 267, 18864, 3217, 1864, 547, 4305, 267, 952, 646, 4991, 19323, 538, 519, 3141, 610, 4991, 6632, 269, 634, 26738, 568, 4158, 543, 24949, 267, 543, 519, 8265, 2000, 2086, 6763, 899, 513, 9649, 609, 835, 2699, 3750, 538, 922, 2212, 269, 2311, 519, 1448, 950, 3781, 8813, 1010, 3158, 15920, 1864, 547, 5127, 543, 646, 12034, 519, 27369, 998, 519, 6885, 543, 646, 16858, 646, 1223, 581, 513, 10766, 24010, 865, 602, 646, 1223, 849, 1847, 1934, 543, 972, 538, 519, 10754, 693, 3781, 11884, 269, 7726, 476, 279, 281, 1548, 1705, 519, 10564, 1589, 827, 519, 17761, 12027, 286, 6226, 3101, 281, 2736, 909, 519, 3037, 610, 3618, 609, 3946, 610, 2645, 563, 309, 6327, 7313, 655, 4147, 476, 277, 23448, 5999, 543, 12226, 2296, 670, 821, 903, 22976, 454, 305, 629, 785, 3757, 987, 22105, 648, 476, 5908, 272, 268, 3707, 331, 729, 513, 4583, 4095, 19829, 543, 10564, 269, 634, 1344, 649, 3177, 568, 5423, 676, 1797, 540, 513, 2027, 2780, 1982, 269, 769, 519, 12784, 519, 1126, 2501, 1394, 689, 519, 1153, 269, 22105, 648, 6591, 513, 10639, 538, 519, 4639, 607, 513, 7793, 545, 8385, 543, 602, 814, 5310, 3765, 548, 611, 1082, 5375, 3988, 547, 11716, 1010, 1909, 607, 513, 6963, 518, 543, 10404, 540, 19525, 269, 1924, 267, 519, 10564, 16545, 5128, 547, 1831, 513, 32529, 547, 2661, 1272, 10446, 563, 309, 6327, 7313, 655, 1635, 15887, 785, 3757, 987, 22105, 648, 12834, 769, 2296, 4147, 476, 277, 3040, 2296, 12834, 454, 3891, 1281, 1018, 646, 15055, 609, 1010, 838, 1228, 267, 646, 11934, 1010, 9660, 609, 7452, 267, 18864, 3217, 1864, 547, 4305, 952, 646, 4991, 19323, 538, 519, 4991, 6632, 269, 594, 6999, 941, 513, 17761, 12027, 267, 7836, 1250, 1554, 538, 519, 547, 611, 267, 24986, 267, 1412, 289, 9201, 267, 12627, 536, 9201, 256, 8382, 281, 1306, 519, 1554, 5828, 4158, 538, 519, 10543, 267, 1010, 3993, 3576, 1864, 522, 5127, 547, 3207, 543, 998, 519, 1930, 6885, 646, 8068, 513, 4585, 2006, 6972, 689, 1747, 547, 1776, 538, 519, 4158, 543, 24949, 10754, 269, 1548, 616, 789, 3257, 286, 966, 6327, 23448, 5999, 543, 12226, 7043, 7392, 7726, 476, 272, 281, 4208, 1705, 519, 10564, 1616, 547, 1831, 513, 17761, 12027, 267, 513, 32529, 543, 513, 4585, 2006, 286, 634, 6648, 568, 827, 875, 513, 1126, 4991, 13631, 547, 519, 2081, 540, 1004, 1472, 1864, 543, 9060, 1114, 1225, 3930, 885, 543, 18845, 538, 741, 2729, 269, 634, 10564, 6941, 875, 513, 1126, 568, 2618, 10999, 4299, 676, 10792, 2126, 269, 2311, 2185, 538, 519, 10543, 267, 1247, 13059, 689, 1153, 693, 519, 1482, 942, 267, 646, 12034, 519, 2030, 11285, 3276, 8089, 519, 2666, 543, 646, 4941, 547, 581, 513, 21543, 11832, 269, 12321, 1328, 1085, 9529, 1864, 952, 646, 4991, 19323, 538, 519, 3141, 610, 4991, 6632, 269, 1975, 1228, 281, 513, 8325, 1196, 3022, 1907, 1031, 585, 20857, 543, 5969, 19323, 538, 519, 3141, 281, 1261, 730, 1317, 540, 7050, 7943, 267, 7050, 6129, 4598, 20857, 2476, 281, 547, 25058, 3978, 543, 5812, 4674, 3371, 519, 1126, 729, 13631, 676, 1010, 5191, 547, 581, 538, 519, 7452, 543, 798, 519, 1919, 540, 1010, 3903, 609, 1010, 2645, 563, 14367, 1445, 15091, 2069, 543, 1818, 1272, 5079, 269, 1261, 11934, 1010, 9660, 609, 7452, 269, 1261, 11934, 1010, 9660, 543, 4991, 6632, 538, 519, 4764, 269, 1879, 693, 2185, 538, 519, 12784, 594, 2097, 1394, 689, 519, 1153, 267, 594, 666, 1294, 998, 519, 10766, 540, 602, 2777, 519, 32529, 20857, 519, 2666, 269, 5502, 267, 646, 13821, 547, 2972, 519, 20420, 543, 4158, 563, 763, 10754, 616, 14692, 344, 267, 964, 25544, 267, 543, 24949, 269, 5808, 568, 519, 10584, 538, 519, 6648, 286, 11088, 267, 519, 26454, 540, 519, 1126, 568, 2938, 1934, 269, 1261, 3323, 1603, 829, 916, 693, 519, 2085, 540, 5216, 269, 1133, 10277, 540, 1010, 1502, 756, 2830, 625, 585, 519, 2104, 267, 646, 12034, 10761, 543, 1187, 538, 891, 32462, 6009, 4371, 676, 2367, 945, 4440, 1265, 2370, 20106, 538, 741, 960, 269, 769, 519, 3803, 588, 24521, 267, 950, 621, 568, 3781, 267, 519, 3993, 540, 519, 1126, 15920, 1864, 547, 5127, 547, 3207, 563, 1432, 3657, 634, 7313, 2045, 20905, 13242, 769, 634, 7313, 655, 966, 6327, 286, 3040, 2296, 11872, 454, 303, 1157, 856, 519, 3515, 538, 1142, 588, 24521, 267, 799, 2995, 721, 713, 269, 9521, 519, 1126, 267, 519, 536, 4120, 22673, 814, 1100, 4155, 547, 1491, 543, 1100, 1747, 547, 979, 543, 972, 568, 1100, 942, 3808, 585, 1864, 547, 2132, 1394, 547, 1753, 269, 1261, 568, 711, 3808, 547, 1491, 519, 1482, 4155, 899, 519, 1126, 5128, 3217, 547, 1153, 2073, 979, 547, 519, 1482, 1153, 267, 543, 2132, 1394, 1753, 269, 8382, 281, 15316, 2010, 540, 5370, 269, 1261, 13821, 547, 1831, 513, 536, 4120, 5498, 28705, 267, 513, 32529, 543, 513, 4585, 2006, 1317, 646, 14659, 602, 789, 782, 2972, 5191, 269, 1261, 1281, 1018, 646, 15055, 609, 1010, 838, 1228, 267, 646, 11934, 20130, 9660, 609, 7452, 267, 18864, 3217, 1864, 547, 4305, 604, 646, 4991, 19323, 538, 519, 3141, 610, 4991, 6632, 563, 12585, 281, 769, 519, 4158, 543, 24949, 8265, 269, 1261, 568, 27052, 676, 1010, 3237, 543, 3610, 950, 646, 2306, 513, 12161, 269, 4340, 547, 519, 1126, 267, 519, 26738, 568, 4158, 543, 972, 568, 1100, 835, 6972, 593, 621, 269, 7726, 476, 273, 281, 1548, 568, 519, 942, 519, 10564, 6972, 585, 1153, 286, 2311, 3781, 519, 1126, 12034, 519, 4585, 2006, 593, 10279, 269, 7726, 476, 866, 281, 4208, 1705, 519, 10564, 1616, 547, 1831, 513, 32529, 286, 8382, 281, 17616, 267, 646, 24714, 547, 1831, 513, 17761, 12027, 21409, 10876, 269, 1284, 1118, 1100, 15549, 625, 540, 1022, 2186, 267, 2769, 610, 22466, 267, 827, 519, 1264, 28467, 267, 6111, 267, 10727, 543, 29839, 609, 2463, 547, 519, 1344, 563, 3383, 267, 950, 646, 12034, 519, 17761, 12027, 267, 32529, 543, 4585, 2006, 3257, 741, 960, 11884, 267, 646, 13821, 547, 581, 899, 873, 607, 646, 1281, 711, 917, 741, 10792, 4641, 269, 8382, 281, 634, 10564, 4767, 513, 32529, 998, 519, 10766, 540, 1010, 2777, 950, 646, 8120, 689, 1153, 693, 476, 275, 538, 519, 12784, 269, 24641, 952, 646, 1131, 723, 1044, 27052, 585, 782, 713, 269, 3571, 2816, 568, 18660, 543, 6632, 543, 1010, 3946, 616, 1289, 748, 539, 689, 1210, 12202, 2645, 269, 7313, 655, 676, 15887, 785, 3757, 987, 22105, 648, 966, 6327, 676, 22731, 2140, 11774, 355, 361, 14972, 379, 14972, 504, 14972, 379, 14972, 353, 29082, 491, 14972, 364, 11774, 355, 372, 14972, 378, 14972, 356, 25927, 1807, 32148, 3689, 3370, 538, 476, 5002, 280, 13474, 5678, 13595, 521, 4132, 4555, 21629, 22731, 910, 32148, 269, 8382, 281, 589, 1268, 945, 6133, 5370, 676, 21409, 835, 1747, 547, 1776, 563, 309, 6327, 4147, 476, 277, 2296, 7313, 655, 476, 278, 19247, 267, 7726, 8382, 454, 763, 1126, 1590, 634, 1126, 1590, 711, 2097, 1753, 693, 513, 6378, 942, 269, 8382, 281, 29303, 909, 543, 1524, 269, 19627, 267, 646, 4941, 547, 1831, 513, 32529, 20857, 519, 2666, 609, 5191, 543, 18864, 1223, 3247, 1864, 269, 1280, 519, 1126, 267, 513, 17761, 12027, 536, 4120, 22673, 2729, 606, 4830, 1272, 543, 1281, 8726, 646, 15055, 269, 1879, 519, 575, 784, 4992, 4557, 538, 519, 6640, 543, 594, 3802, 547, 1153, 676, 938, 26738, 267, 5272, 1554, 594, 2743, 519, 17761, 330, 2075, 11538, 267, 1412, 289, 9201, 269, 966, 6327, 23448, 5999, 543, 12226, 966, 6327, 7313, 655, 4147, 476, 277, 23448, 5999, 543, 12226, 19436, 4147, 476, 277, 7313, 655, 966, 6327, 23448, 5999, 966, 6327, 7313, 655, 4147, 476, 277, 23448, 5999, 543, 12226, 2296, 670, 821, 903, 22976, 7313, 655, 23448, 5999, 543, 12226, 966, 6327, 269, 901, 568, 568, 1946, 9060, 824, 4938, 725, 4277, 563, 12585, 281, 17616, 267, 519, 10564, 24714, 547, 1831, 513, 17761, 12027, 1317, 607, 646, 5469, 513, 17761, 12027, 21409, 835, 1747, 547, 1776, 1510, 1022, 1544, 610, 1022, 942, 535, 1441, 547, 6133, 1010, 5370, 269, 594, 6999, 594, 941, 513, 32529, 20857, 2476, 693, 519, 4677, 609, 18864, 547, 3247, 803, 689, 20857, 269, 7726, 476, 274, 281, 14674, 4585, 2006, 269, 594, 6999, 594, 941, 513, 4585, 2006, 6972, 519, 8265, 782, 3781, 267, 31743, 519, 20224, 609, 1250, 26816, 1181, 269, 8921, 267, 646, 16858, 646, 941, 513, 32529, 1317, 513, 32529, 1281, 1018, 646, 15055, 609, 1010, 838, 1228, 269, 5808, 616, 519, 1004, 519, 10584, 10742, 286, 1548, 16858, 1281, 519, 1126, 538, 519, 6648, 1118, 286, 898, 14753, 827, 875, 513, 1126, 568, 23387, 540, 519, 10792, 1145, 4448, 547, 3232, 1272, 543, 4991, 13631, 547, 1585, 1919, 538, 1272, 269, 634, 4585, 2006, 23638, 1010, 26816, 1181, 543, 15211, 609, 1010, 14692, 693, 1010, 2427, 267, 543, 2760, 2899, 4422, 547, 5127, 538, 1010, 1272, 269, 0, 21930, 2021, 941, 811, 2693, 547, 4497, 538, 19408, 2623, 899, 1617, 527, 27965, 610, 6643, 1247, 27312, 24383, 8957, 1762, 2367, 267, 2687, 547, 606, 22423, 1353, 540, 2852, 1053, 3370, 5147, 476, 2918, 267, 476, 1708, 274, 538, 519, 1930, 14092, 947, 4760, 12813, 5308, 21450, 676, 5754, 324, 21930, 932, 334, 543, 1744, 597, 2917, 681, 2884, 11276, 330, 689, 8830, 16746, 2160, 267, 772, 2529, 1421, 543, 9164, 563, 293, 16226, 593, 519, 24383, 568, 811, 2693, 547, 1267, 538, 7063, 982, 824, 2010, 540, 8813, 269, 769, 519, 772, 2529, 1421, 1614, 2516, 616, 1034, 2693, 547, 2887, 593, 519, 24383, 281, 1453, 896, 1614, 1296, 267, 1762, 4079, 538, 741, 476, 736, 338, 267, 543, 4587, 4079, 936, 476, 5952, 1296, 269, 769, 519, 1762, 2937, 1895, 4481, 267, 2021, 616, 13676, 476, 3199, 260, 811, 1419, 982, 2367, 9789, 5207, 5945, 2557, 2066, 782, 6502, 543, 28486, 4849, 585, 2021, 538, 741, 5216, 625, 610, 1657, 563, 2414, 2697, 4220, 585, 9991, 593, 519, 24383, 543, 4983, 1946, 1762, 2021, 2844, 865, 1082, 25047, 5829, 7063, 3379, 547, 1762, 2367, 267, 519, 4589, 2756, 582, 9464, 1079, 11255, 25047, 322, 1162, 593, 513, 772, 2529, 269, 6280, 13464, 267, 835, 2110, 630, 18314, 9912, 338, 264, 543, 835, 1279, 630, 1704, 9912, 338, 264, 936, 519, 1576, 540, 513, 19496, 563, 5445, 9916, 476, 273, 267, 6110, 1762, 4079, 6592, 593, 2901, 519, 2110, 25047, 13826, 630, 7367, 260, 540, 7247, 941, 2021, 264, 610, 1279, 25047, 13826, 630, 3066, 260, 540, 7247, 941, 2021, 1070, 543, 4857, 5216, 19408, 5615, 281, 1100, 1688, 571, 559, 946, 282, 711, 8384, 519, 24383, 1247, 27312, 282, 9849, 5070, 1023, 267, 16212, 22286, 3591, 267, 610, 1164, 31623, 282, 2348, 606, 538, 16512, 610, 16335, 6643, 282, 1210, 606, 5907, 3926, 282, 3946, 538, 22836, 282, 8066, 1945, 282, 543, 1236, 6235, 3268, 563, 5445, 849, 4857, 2947, 5171, 945, 4503, 741, 3666, 267, 782 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 7170, 281, 24006, 1722, 6153, 338, 16373, 538, 519, 22960, 1299, 7956, 850, 12752, 281, 4197, 1215, 4858, 2738, 6435, 4438, 7849, 2598, 7539, 692, 8893, 20638, 281, 4841, 786, 1174, 875, 17195, 6752, 12478, 946, 741, 2200, 543, 3310, 547, 4217, 1282, 2067, 12469, 899, 519, 17160, 538, 9031, 543, 1451, 827, 6725, 2994, 1369, 519, 6752, 2872, 780, 7072, 912, 5970, 596, 2479, 9289, 1018, 4523, 950, 513, 2101, 9568, 16716, 286, 1879, 6360, 31662, 4473, 610, 16767, 21199, 519, 2666, 267, 1082, 2729, 666, 581, 12936, 11874, 269, 1452, 2621, 1419, 2014, 9552, 267, 16550, 1004, 856, 540, 741, 5321, 543, 27200, 2199, 11615, 269, 1809, 1705, 596, 917, 602, 930, 4213, 1900, 909, 1282, 891, 4101, 2053, 547, 948, 1346, 538, 991, 286, 13018, 267, 649, 3513, 1413, 693, 3549, 538, 519, 6752, 543, 20955, 2872, 30147, 2882, 7802, 267, 17960, 267, 543, 824, 3688, 1500, 689, 5958, 11652, 1294, 875, 789, 2344, 741, 2472, 1247, 1818, 513, 2318, 3017, 538, 519, 1158, 2439, 4089, 476, 272, 281, 1548, 3657, 24006, 1722, 6153, 338, 888, 5331, 707, 5172, 14704, 1688, 321, 698, 267, 6292, 540, 10887, 267, 610, 4585, 12816, 676, 28245, 593, 7641, 2982, 543, 9413, 269, 8409, 1164, 15134, 3688, 616, 1572, 17195, 5370, 1317, 789, 1942, 811, 982, 2834, 1919, 1813, 547, 2188, 971, 607, 9120, 2326, 267, 23477, 267, 6216, 10639, 267, 543, 608, 12807, 269, 14992, 9513, 17195, 5370, 2832, 547, 1711, 7287, 1851, 5561, 945, 1616, 547, 13686, 4567, 6698, 998, 741, 16306, 780, 4089, 476, 273, 281, 16373, 11150, 538, 519, 22960, 1299, 7956, 850, 12752, 454, 15812, 7566, 4249, 513, 2629, 1909, 538, 5009, 17195, 5370, 269, 4858, 2738, 1020, 2189, 2984, 1472, 1142, 1587, 267, 8220, 609, 6800, 14156, 269, 1358, 949, 3984, 12600, 2196, 3118, 2982, 267, 12840, 609, 4583, 5159, 267, 610, 7649, 609, 2442, 4623, 6203, 547, 2333, 15287, 269, 1635, 1997, 908, 2933, 609, 1350, 600, 712, 543, 31449, 267, 891, 3549, 1628, 2178, 4296, 609, 1761, 18046, 780, 7078, 5384, 256, 6056, 827, 715, 833, 267, 835, 540, 519, 7887, 4408, 538, 5026, 813, 28328, 543, 31321, 269, 4256, 11599, 2220, 334, 9655, 20446, 4564, 2773, 267, 5647, 267, 543, 2511, 269, 26465, 525, 5001, 5957, 715, 833, 10591, 547, 5365, 17284, 267, 16608, 267, 543, 1967, 269, 901, 3532, 4276, 1063, 6216, 3961, 543, 7082, 8321, 566, 11479, 6455, 543, 2306, 715, 833, 1796, 856, 538, 513, 22125, 19458, 780, 4089, 476, 274, 281, 24006, 1722, 4858, 2738, 29955, 2991, 7849, 2598, 7539, 454, 3086, 1577, 781, 2263, 875, 930, 17195, 6752, 12478, 3565, 9797, 1282, 16839, 899, 519, 17160, 538, 9031, 5018, 4505, 269, 5502, 540, 1175, 5356, 28774, 610, 30572, 11044, 267, 891, 3549, 979, 3564, 2757, 6725, 12485, 676, 3246, 1483, 1489, 547, 2950, 538, 991, 269, 1280, 3236, 267, 789, 1522, 24946, 7482, 267, 7727, 267, 610, 6791, 547, 8323, 3646, 267, 3850, 873, 547, 6542, 1514, 5539, 543, 8296, 780, 1103, 2132, 267, 713, 2186, 27329, 2962, 2337, 7794, 6075, 14017, 543, 10607, 2949, 6216, 3239, 269, 3117, 28366, 1745, 1434, 6616, 602, 741, 2182, 268, 792, 2740, 2724, 7028, 13998, 6857, 3906, 8149, 547, 5355, 2486, 269, 3958, 267, 621, 12651, 4656, 827, 10296, 2518, 2152, 267, 8716, 1866, 547, 6443, 4229, 538, 4543, 1346, 1447, 26752, 780, 6962, 912, 2026, 2104, 1870, 3401, 267, 1620, 519, 1379, 540, 17195, 5370, 6725, 543, 922, 2702, 547, 5397, 2318, 1689, 568, 2565, 269, 4804, 875, 3549, 4431, 1282, 2067, 12469, 8711, 519, 2956, 540, 9746, 1514, 5539, 630, 5425, 305, 264, 7341, 543, 5807, 9758, 3347, 609, 5561, 1759, 593, 3838, 2418, 269, 8921, 942, 596, 7237, 513, 4190, 4062, 540, 7802, 610, 1569, 800, 267, 2015, 711, 1152, 922, 12716, 9029, 855, 849, 519, 1650, 3297, 621, 543, 2436, 5885, 602, 2754, 20383, 609, 707, 4978, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 3080, 3791, 540, 9031, 568, 14015, 1739, 9568, 7400, 17160, 602, 723, 30635, 3042, 519, 2197, 2094, 4571, 4873, 540, 476, 1708, 273, 269, 634, 14700, 568, 513, 19493, 6433, 540, 12473, 17114, 267, 8744, 2916, 1689, 543, 2825, 5126, 883, 519, 1445, 540, 7391, 827, 1946, 519, 17160, 616, 865, 14042, 269, 634, 2594, 31771, 30734, 22856, 723, 4299, 476, 3451, 2929, 4961, 267, 6028, 6634, 19774, 543, 17116, 519, 4346, 676, 11067, 2476, 519, 2887, 7556, 543, 1898, 3484, 1633, 269, 9031, 779, 1034, 7925, 616, 10010, 547, 1569, 519, 17077, 5351, 602, 568, 2139, 267, 1519, 519, 476, 866, 2929, 1453, 4299, 676, 519, 17160, 269, 898, 568, 606, 13778, 267, 2899, 538, 513, 2540, 6433, 2680, 28978, 676, 2916, 1689, 267, 4057, 5989, 267, 543, 519, 14796, 540, 519, 2487, 2804, 6433, 1991, 547, 519, 14700, 563, 17445, 8177, 540, 519, 24627, 338, 281, 12017, 518, 267, 8376, 543, 2598, 10293, 563, 763, 30734, 22856, 723, 7166, 936, 513, 8536, 1004, 267, 10199, 476, 6110, 540, 799, 616, 1453, 269, 1717, 267, 14000, 267, 19818, 267, 2068, 267, 543, 2110, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 299, 5060, 1722, 6153, 338, 16373, 257, 607, 851, 540, 834, 24082, 1299, 18598, 1315, 24322, 1315, 22960, 1299, 7956, 850, 12752, 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, 769, 519, 7706, 540, 6138, 267, 16650, 1143, 29102, 602, 938, 1367, 6228, 9551, 525, 1022, 1898, 11008, 1436, 267, 543, 3976, 938, 4978, 827, 6000, 543, 519, 1158, 1472, 721, 1404, 513, 2629, 1909, 538, 5935, 945, 649, 616, 269, 901, 1523, 568, 20206, 4327, 538, 519, 10839, 676, 20435, 16423, 32184, 13153, 3619, 9220, 267, 1141, 646, 2829, 602, 834, 15161, 616, 1500, 676, 741, 4978, 269, 1306, 789, 3494, 267, 865, 789, 616, 1701, 11569, 267, 713, 10206, 6013, 693, 519, 2295, 540, 3943, 16650, 1143, 267, 3226, 538, 922, 6278, 609, 519, 2470, 543, 4644, 540, 1480, 4978, 780, 2414, 2253, 267, 1577, 781, 2263, 519, 11984, 1063, 6071, 2093, 543, 7184, 4371, 4978, 269, 4340, 547, 519, 2296, 23464, 2006, 7917, 12157, 2023, 267, 513, 3661, 568, 711, 3274, 606, 7493, 1523, 602, 29084, 1369, 938, 8186, 269, 13298, 267, 621, 568, 606, 2856, 602, 530, 3658, 1379, 936, 938, 4555, 267, 4606, 267, 543, 3527, 269, 1879, 649, 3180, 513, 3661, 267, 649, 1450, 621, 547, 3337, 938, 8226, 540, 4641, 267, 12018, 875, 649, 4612, 1007, 1344, 543, 2833, 269, 898, 3587, 519, 7828, 998, 799, 649, 2070, 519, 1158, 267, 7801, 1169, 2460, 540, 938, 2729, 780, 1607, 5133, 20383, 5702, 609, 519, 960, 540, 1977, 2797, 10196, 7917, 808, 969, 529, 267, 945, 6257, 4978, 607, 1871, 21437, 602, 616, 5641, 883, 12572, 1949, 543, 1287, 15810, 5196, 938, 11994, 269, 3776, 4978, 4196, 607, 12180, 3741, 267, 4543, 721, 20818, 1931, 2390, 519, 14784, 540, 6151, 10444, 1239, 602, 10514, 1841, 721, 7683, 269, 1635, 1439, 12976, 1978, 3615, 267, 2621, 267, 610, 9259, 609, 2495, 267, 649, 1711, 513, 17396, 2239, 602, 2636, 721, 547, 6330, 938, 1604, 811, 3927, 780, 4913, 267, 972, 514, 849, 6013, 519, 1761, 8594, 540, 8066, 7301, 610, 3765, 7666, 3660, 4978, 269, 1403, 649, 3398, 20093, 821, 748, 10054, 827, 6000, 610, 519, 1158, 267, 891, 6959, 666, 29608, 2429, 938, 3003, 5943, 540, 1702, 267, 3056, 547, 25302, 21520, 543, 3664, 269, 15465, 16895, 971, 607, 13690, 828, 2917, 654, 1228, 723, 13006, 3875, 8320, 540, 2043, 3384, 7301, 8823, 543, 4978, 1759, 593, 1514, 10291, 267, 9263, 2604, 267, 610, 1256, 1016, 3916, 1400, 20261, 269, 1452, 4681, 20838, 519, 2956, 540, 14237, 2565, 3206, 1983, 543, 6967, 21713, 1996, 519, 1202, 573, 1190, 3310, 540, 21533, 9186, 780, 4263, 713, 1448, 267, 621, 949, 581, 5363, 547, 16174, 1063, 1585, 2010, 540, 4978, 267, 8151, 689, 27217, 22530, 1431, 547, 7096, 10952, 19647, 269, 589, 3730, 21658, 666, 581, 6537, 689, 7061, 11707, 267, 4481, 519, 5951, 12268, 1834, 546, 7081, 6240, 269, 3807, 607, 1769, 15225, 1312, 5951, 6438, 543, 9325, 6438, 2623, 4470, 593, 519, 8097, 2175, 267, 1480, 31710, 666, 8915, 2933, 2059, 513, 27795, 540, 8515, 543, 23506, 780, 4002, 835, 1439, 540, 519, 8552, 9114, 22297, 4978, 267, 799, 5330, 547, 15768, 5536, 540, 5132, 910, 1018, 1522, 30351, 6053, 581, 5219, 547, 607, 22530, 1431, 269, 8111, 560, 1431, 3335, 4125, 5316, 1903, 540, 1757, 1275, 610, 9756, 547, 1808, 3615, 267, 20825, 267, 610, 12738, 267, 1419, 1510, 12170, 2963, 610, 9266, 5748, 269, 6201, 2039, 689, 18822, 1347, 916, 543, 5657, 1143, 753, 547, 840, 18524, 13467, 1851, 9845, 269, 2755, 9583, 21030, 6681, 267, 22530, 1431, 9414, 519, 4412, 3748, 585, 3425, 547, 28093, 826, 17062, 2609, 540, 741, 1604, 609, 4644, 267, 7551, 17923, 519, 3532, 4276, 1063, 4978, 543, 2123, 3961, 780, 1103, 4334, 547, 22530, 1431, 267, 2407, 1922, 1194, 3022, 4978, 13822, 4610, 540, 24235, 602, 8831, 3564, 9678, 13685, 610, 13742, 269, 1358, 2099, 3376, 17565, 1738, 31223, 2509, 4641, 267, 12979, 1681, 938, 2418, 267, 17050, 267, 543, 1582, 8410, 32383, 269, 1280, 3236, 267, 3909, 4978, 1683, 13654, 6386, 602, 2666, 5837, 8155, 267, 3140, 6589, 267, 543, 18497, 7554, 269, 11572, 19237, 2709, 23039, 29251, 585, 12180, 2486, 267, 7755, 644, 21899, 7526, 267, 543, 5009, 3356, 269, 11096, 28441, 29625, 29939, 4808, 585, 16208, 1995, 267, 10442, 7440, 267, 543, 1167, 518, 940, 5168, 780, 8601, 741, 3604, 267, 2705, 267, 1312, 22530, 1431, 543, 4978, 2671, 1896, 1883, 2934, 269, 3689, 267, 789, 27167, 513, 18515, 547, 7080, 754, 771, 10964, 3971, 267, 8508, 10462, 543, 13509, 538, 13287, 540, 6209, 3270, 610, 4030, 269, 5822, 267, 789, 6536, 513, 2631, 540, 14336, 4800, 610, 535, 23474, 267, 11121, 7029, 543, 14017, 1256, 538, 519, 3068, 540, 14488, 610, 27171, 269, 12059, 267, 789, 1266, 2658, 2950, 540, 2259, 267, 8744, 1927, 899, 16490, 2043, 945, 2671, 2147, 19773, 338, 543, 4497, 538, 7104, 18129, 780, 18698, 519, 2078, 1063, 16650, 1143, 543, 3661, 19329, 21679, 609, 2055, 4478, 8116, 267, 13597, 267, 543, 5539, 269, 1215, 1058, 649, 31363, 519, 7805, 4351, 1145, 610, 20314, 1890, 540, 6228, 609, 519, 7287, 585, 6617, 543, 3483, 286, 1677, 1018, 6708, 666, 649, 3972, 938, 1378, 11521, 1431, 543, 21520, 267, 6616, 602, 789, 616, 23366, 8032, 676, 2686, 14555, 543, 5626, 12886, 286, 1656, 6368, 267, 875, 666, 649, 11349, 6043, 543, 13916, 538, 519, 3068, 540, 4657, 6381, 267, 8497, 938, 4295, 31710, 1247, 6967, 1930, 547, 2208, 543, 7004, 2496, 3080, 2009, 1935, 3322, 12561, 513, 14302, 540, 19815, 2438, 21548, 267, 14344, 519, 7182, 540, 938, 1378, 1620, 543, 9301, 519, 1008, 29850, 2470, 540, 782, 6811, 547, 1702, 269, 901, 18879, 1281, 711, 17538, 25949, 610, 562, 8811, 559, 1143, 855, 2864, 20217, 5571, 8086, 267, 5188, 267, 543, 17634, 269, 1635, 2502, 538, 25442, 1582, 7721, 8727, 543, 4509, 513, 6891, 540, 7279, 267, 649, 2990, 6000, 547, 11457, 543, 9921, 267, 17975, 938, 4978, 538, 3210, 547, 3209, 2591, 543, 3255, 780, 5194, 4640, 5161, 538, 5807, 17604, 543, 6568, 2066, 3309, 5380, 267, 5275, 1455, 2666, 9624, 24895, 543, 16311, 566, 269, 3414, 16614, 6643, 543, 10319, 1966, 9010, 267, 649, 666, 16637, 1612, 5255, 658, 10121, 2906, 543, 585, 613, 6626, 5755, 1431, 12082, 538, 3838, 4145, 543, 17050, 269, 6270, 3646, 2154, 10100, 543, 13438 ]

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

[ 20885, 543, 12754, 5004, 257, 607, 851, 540, 834, 24719, 13316, 1315, 15043, 1299, 24021, 18831, 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, 8080, 547, 938, 3992, 827, 6520, 1143, 543, 3955, 23400, 21664, 256, 901, 1522, 3280, 899, 513, 2462, 16681, 2165, 267, 855, 1810, 1405, 5855, 910, 676, 519, 1439, 540, 713, 1362, 267, 596, 786, 581, 606, 4274, 256, 2913, 781, 1376, 609, 1620, 1018, 891, 1913, 2965, 1611, 780, 1262, 1432, 568, 6520, 1143, 15140, 5331, 952, 2576, 5701, 596, 15490, 569, 1175, 1317, 540, 707, 2085, 269, 9320, 789, 2219, 602, 596, 7948, 1406, 798, 1945, 1152, 1317, 596, 941, 7820, 610, 4587, 982, 873, 269, 2334, 2186, 540, 2623, 568, 1572, 968, 720, 1143, 1848, 898, 4523, 950, 1004, 723, 11475, 630, 528, 6378, 2093, 264, 827, 1114, 2085, 2516, 267, 799, 5012, 547, 7130, 630, 684, 325, 1515, 2126, 1040, 8528, 2690, 1383, 267, 930, 11570, 949, 1589, 602, 4587, 2043, 5749, 1405, 1434, 609, 2029, 610, 1007, 2093, 269, 2107, 1866, 1522, 8263, 602, 14038, 3668, 1995, 543, 15657, 2877, 585, 1978, 4247, 269, 1452, 10054, 616, 2010, 540, 2085, 1143, 2094, 789, 9794, 1004, 1759, 593, 741, 2085, 2864, 982, 741, 1983, 610, 5759, 780, 1262, 3963, 9701, 1284, 5516, 6168, 6520, 1143, 15140, 3086, 602, 649, 1174, 1018, 2085, 1143, 568, 1577, 781, 2911, 827, 1946, 621, 6927, 269, 5272, 1268, 814, 2189, 2833, 267, 5380, 267, 543, 15421, 547, 2709, 267, 7488, 540, 741, 2085, 269, 1635, 8508, 3025, 781, 7418, 267, 4213, 1831, 811, 5499, 543, 3811, 269, 9578, 267, 8156, 3025, 9425, 568, 3274, 519, 1318, 3364, 547, 798, 2439, 19013, 267, 1082, 28737, 1869, 6560, 609, 2085, 1143, 269, 1358, 1522, 4413, 856, 593, 5863, 5520, 945, 3142, 4195, 16752, 543, 3407, 6791, 269, 654, 573, 2287, 519, 7450, 585, 3309, 6502, 5932, 3255, 585, 29076, 5698, 1107, 2324, 1927, 5103, 3604, 538, 2085, 780, 1262, 11328, 23400, 21664, 5093, 589, 12736, 940, 15613, 692, 4131, 803, 2995, 596, 513, 5728, 281, 9256, 4229, 2066, 5481, 2306, 6887, 6793, 256, 8479, 518, 2319, 2818, 3565, 3860, 3206, 267, 6639, 5260, 11803, 267, 543, 15131, 269, 24771, 9164, 1039, 7326, 267, 3638, 3318, 10080, 267, 543, 1966, 9010, 1983, 4378, 539, 936, 942, 269, 1879, 1312, 10600, 12840, 267, 6909, 1919, 4755, 2439, 13914, 1394, 547, 707, 5172, 1895, 3785, 693, 1153, 269, 9894, 333, 1405, 1142, 2875, 3142, 1945, 2027, 547, 519, 3349, 286, 2368, 3214, 4597, 539, 693, 23730, 3579, 2093, 1247, 1866, 695, 821, 1282, 1788, 4058, 610, 11056, 269, 8625, 267, 596, 2813, 15813, 2164, 3152, 982, 1022, 835, 1367, 1223, 3035, 4805, 269, 634, 1482, 6240, 10039, 547, 1870, 6887, 1500, 909, 540, 1585, 2085, 2516, 780, 1262, 7021, 5765, 6520, 1143, 281, 9540, 17778, 5269, 8262, 15448, 4373, 3383, 875, 666, 649, 4339, 1996, 2085, 1143, 543, 3895, 29076, 5698, 286, 3371, 616, 930, 4388, 1384, 272, 269, 2878, 19733, 4995, 6258, 827, 2085, 1143, 543, 2671, 707, 1702, 609, 2828, 543, 1920, 269, 11559, 16614, 5188, 1472, 3604, 538, 2085, 543, 1995, 563, 273, 269, 2878, 300, 550, 11208, 15789, 4995, 8081, 7341, 1141, 4810, 4648, 21927, 7820, 3283, 267, 4687, 4030, 543, 5583, 269, 19452, 267, 1711, 5624, 585, 6107, 547, 4001, 22242, 827, 1007, 3466, 610, 4066, 563, 274, 269, 2878, 1103, 5477, 5678, 4995, 2142, 13533, 540, 1893, 5079, 269, 1280, 3236, 267, 3079, 540, 1210, 2474, 899, 834, 21745, 1388, 25165, 2437, 2161, 834, 15161, 5432, 609, 3059, 2645, 1701, 901, 8992, 13784, 543, 17767, 3025, 781, 1761, 563, 275, 269, 2878, 293, 2716, 2225, 4995, 22737, 8465, 16131, 543, 6552, 960, 3681, 602, 13918, 8795, 1272, 5933, 543, 7375, 269, 6270, 4507, 948, 11677, 16805, 4600, 540, 782, 6502, 563, 276, 269, 2878, 23895, 14896, 622, 11773, 525, 4995, 31209, 8320, 1141, 6404, 21943, 6887, 8853, 269, 9523, 2984, 540, 24984, 6913, 998, 29076, 5698, 780, 8855, 267, 1689, 6238, 609, 721, 256, 3962, 1507, 2962, 8309, 547, 2679, 8537, 5054, 1141, 1169, 1268, 7959, 12595, 543, 23518, 267, 1100, 2339, 741, 2085, 269, 8414, 1565, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 21010, 687, 547, 1628, 269, 13669, 550, 547, 1332, 563, 2171, 1683, 2866, 543, 11727, 5234, 547, 9746, 9988, 563, 763, 1318, 1004, 666, 1118, 782, 519, 3017, 585, 707, 3919, 269, 1284, 616, 1934, 547, 2322, 519, 1318, 1004, 1369, 707, 3914, 269, 21278, 2866, 267, 10647, 13007, 19707, 267, 543, 1818, 6209, 4296, 568, 875, 649, 7500, 269, 2311, 2817, 16065, 532, 7896, 267, 649, 917, 519, 1764, 1390, 4296, 666, 1118, 585, 707, 1870, 269, 1306, 3401, 538, 519, 5234, 532, 543, 19684, 2872, 267, 2523, 3782, 267, 649, 1616, 547, 1118, 519, 13007, 3406, 1184, 4443, 585, 596, 563, 2026, 3533, 607, 519, 4346, 568, 3001, 543, 4657, 267, 596, 991, 547, 1847, 1175, 607, 3533, 267, 4657, 693, 519, 1482, 2557, 543, 7598, 5969, 12967, 2093, 269, 1284, 1118, 519, 3003, 1184, 2241, 543, 3551, 267, 5969, 998, 519, 10539, 543, 519, 10848, 1107, 547, 2490, 707, 17849, 4640, 883, 519, 14785, 543, 5730, 4674, 621, 1058, 581, 563, 16920, 550, 633, 547, 1870, 2115, 454, 291, 1751, 1299, 29621, 454, 299, 20235, 4791, 6351, 454, 299, 545, 10234, 16195, 28968, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 21848, 1143, 543, 3955, 23400, 21664, 257, 607, 851, 540, 834, 24082, 1299, 18598, 1315, 16844, 1299, 29621, 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, 8893, 281, 29325, 4370, 543, 5685, 5109, 538, 2274, 1430, 1740, 692, 5970, 596, 2479, 4941, 547, 1118, 1945, 5963, 835, 6361, 8584, 29292, 286, 23985, 602, 596, 666, 2161, 596, 1500, 3054, 543, 616, 10583, 540, 286, 4270, 267, 31617, 909, 1317, 649, 2811, 827, 547, 7832, 593, 606, 7045, 538, 16463, 11529, 256, 13018, 267, 649, 3513, 2263, 10085, 4370, 543, 18138, 2553, 602, 786, 2285, 707, 16463, 3785, 513, 2123, 5905, 780, 8867, 1430, 11529, 568, 606, 3504, 1148, 1106, 13736, 782, 936, 519, 1158, 269, 3245, 11435, 543, 26797, 547, 13544, 1115, 543, 10887, 267, 16463, 32305, 723, 1044, 1210, 713, 14463, 1570, 547, 1711, 4052, 2943, 31042, 3688, 585, 5553, 269, 2060, 930, 2259, 543, 9639, 267, 596, 1932, 666, 6443, 519, 16034, 540, 891, 9952, 6159, 1123, 338, 780, 5575, 1919, 1101, 910, 1354, 596, 1376, 10085, 4370, 543, 18138, 707, 16463, 1788, 267, 621, 2115, 547, 581, 2759, 543, 19632, 2687, 547, 707, 1374, 269, 4495, 596, 4312, 3893, 602, 851, 1524, 630, 528, 952, 596, 4312, 2907, 6192, 621, 1070, 621, 781, 942, 547, 1039, 2681, 543, 4027, 609, 24470, 543, 26088, 780, 4131, 781, 2253, 676, 6158, 827, 24470, 269, 1703, 616, 1896, 2010, 540, 24470, 2139, 585, 946, 593, 16463, 267, 1519, 4568, 2861, 267, 1216, 2861, 267, 543, 3282, 2861, 24470, 269, 3962, 1826, 814, 922, 5383, 543, 11393, 267, 865, 7446, 519, 1318, 835, 5673, 593, 1018, 2186, 540, 1413, 596, 1616, 543, 875, 8628, 596, 1616, 519, 2681, 547, 581, 269, 1280, 1383, 267, 4568, 2861, 24470, 4043, 547, 3132, 811, 7524, 4778, 855, 949, 2154, 2027, 13021, 1218, 547, 2061, 535, 8172, 936, 942, 269, 4826, 2861, 24470, 616, 3622, 4443, 547, 960, 609, 543, 2973, 909, 267, 855, 789, 1522, 711, 23309, 607, 7184, 883, 519, 16463, 11103, 780, 3086, 602, 649, 4312, 4988, 519, 9238, 540, 24470, 1577, 781, 1847, 593, 547, 3498, 2409, 269, 1411, 666, 4019, 20004, 1210, 1585, 2645, 899, 26814, 267, 29008, 525, 267, 610, 1256, 10936, 14569, 269, 634, 1883, 1934, 568, 4180, 606, 1256, 10359, 2066, 519, 3003, 2627, 540, 707, 1788, 269, 3399, 676, 7311, 513, 6094, 4494, 540, 20004, 267, 1287, 1628, 909, 519, 2681, 7930, 2394, 596, 3035, 519, 5551, 12094, 269, 2142, 2386, 547, 1450, 1142, 4494, 547, 3819, 4625, 1354, 4946, 1776, 282, 6382, 267, 596, 1981, 14124, 519, 16463, 610, 4929, 19514, 32442, 780, 5629, 596, 4312, 4294, 519, 20004, 267, 621, 781, 942, 547, 2149, 707, 20100, 609, 513, 9096, 269, 5685, 8460, 4196, 1079, 1292, 5301, 281, 789, 3986, 519, 5920, 540, 707, 1788, 543, 1683, 3606, 15006, 269, 2368, 1455, 26088, 1031, 538, 16463, 11529, 1331, 14589, 525, 267, 11041, 267, 543, 13021, 1218, 269, 654, 31320, 543, 11041, 666, 10802, 519, 2681, 540, 707, 20004, 1247, 849, 3246, 1216, 4187, 269, 1530, 531, 1218, 267, 593, 519, 824, 1688, 267, 1711, 513, 8825, 11064, 1996, 1085, 32332, 267, 25859, 267, 543, 5957, 780, 28274, 9096, 568, 2147, 547, 7311, 20004, 910, 946, 3617, 2645, 630, 7945, 607, 12308, 338, 267, 1972, 2209, 267, 610, 17371, 26814, 264, 543, 2327, 606, 1256, 15098, 269, 5901, 538, 2247, 602, 1978, 26088, 949, 4158, 523, 519, 2681, 540, 707, 20004, 5594, 267, 865, 1449, 873, 593, 16150, 4773, 1101, 952, 2009, 780, 1103, 3932, 267, 10085, 4370, 543, 18138, 616, 1898, 3268, 538, 2870, 513, 10875, 16463, 1788, 269, 1635, 1620, 519, 1114, 2010, 540, 24470, 543, 26088, 2139, 267, 2059, 609, 1697, 3498, 2553, 267, 596, 3513, 581, 1134, 593, 707, 1259, 547, 1818, 2189, 267, 3750, 2275, 10248, 3688, 602, 2992, 707, 7209, 543, 2511, 269, 8414, 13167, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 8702, 547, 713, 3102, 3391, 593, 16463, 13167, 267, 1141, 649, 786, 5490, 883, 2870, 513, 31042, 3444, 23073, 9126, 689, 1907, 539, 16463, 269, 2274, 1430, 13167, 568, 606, 2085, 6040, 2245, 602, 21269, 519, 8608, 267, 3850, 1004, 547, 2769, 741, 5876, 543, 1118, 6198, 543, 4190, 3688, 689, 713, 11684, 1570, 269, 901, 3391, 786, 1683, 1900, 8386, 9912, 5528, 543, 5363, 4388, 547, 1711, 513, 2189, 267, 6752, 762, 3444, 23073, 9126, 596, 786, 581, 10583, 547, 4163, 269, 1924, 267, 1577, 781, 10544, 938, 2645, 543, 16463, 543, 1205, 3323, 593, 713, 3078, 13167, 3460, 2336, 290, 2761, 532, 513, 853, 344, 1501, 9061, 10610, 20045, 689, 15484, 539, 2274, 1430, 1107, 589, 18043, 6651, 547, 2274, 1430, 14958, 532, 454, 6701, 596, 3168, 547, 1491, 909, 513, 1007, 15908, 610, 1451, 875, 547, 1118, 31042, 17960, 286, 2274, 1430, 13167, 568, 606, 5140, 1259, 547, 7148, 883, 707, 3860, 2427, 1247, 8195, 1565, 513, 1007, 5578, 269, 901, 2376, 786, 1683, 4388, 543, 15361, 547, 948, 596, 4739, 707, 3444, 23073, 9126, 689, 1907, 539, 16463, 563, 290, 2761, 532, 16463, 568, 1187, 543, 3860, 543, 2488, 513, 6198, 1035, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 595, 32323, 4811, 1299, 670, 15477, 10292, 2464, 1315, 2274, 1430, 1740, 1315, 29325, 4370, 543, 5685, 5109, 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, 6092, 5149, 281, 590, 21417, 1066, 918, 1512, 651, 8615, 731, 781, 1401, 626, 1113, 1143, 910, 589, 17714, 883, 8682, 3125 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2053, 950, 596, 834, 321, 2794, 1376, 257, 513, 11332, 519, 15493, 8868, 1236, 1749, 585, 513, 2034, 1287, 5956, 547, 2490, 269, 1955, 711, 6085, 532, 593, 519, 834, 26920, 257, 540, 1198, 602, 666, 581, 9571, 676, 519, 3810, 25619, 834, 321, 2393, 344, 30552, 334, 257, 855, 519, 1249, 602, 519, 4229, 798, 608, 338, 626, 13718, 296, 666, 1376, 1210, 2731, 16681, 2262, 532, 543, 1118, 519, 902, 1256, 811, 14845, 585, 1346, 2542, 713, 547, 24320, 1047, 519, 2694, 594, 798, 711, 1174, 282, 855, 519, 1448, 1934, 568, 547, 13599, 711, 4573, 30968, 13718, 763, 1249, 568, 267, 1100, 2339, 519, 1797, 267, 952, 596, 8095, 2694, 5488, 602, 1648, 2115, 547, 2097, 689, 12341, 630, 8145, 1897, 267, 18160, 267, 3160, 543, 6587, 264, 1403, 519, 8868, 3432, 543, 2599, 3432, 540, 1312, 21891, 568, 3160, 267, 2943, 519, 4835, 575, 8960, 2242, 519, 3432, 540, 519, 804, 8553, 267, 14788, 338, 267, 26971, 267, 3092, 269, 602, 1648, 2744, 610, 5305, 814, 547, 2097, 610, 979, 689, 12341, 256, 2439, 6546, 338, 1946, 513, 2603, 540, 2053, 950, 596, 834, 321, 2794, 1376, 257, 513, 11332, 519, 15493, 8868, 1236, 1749, 585, 513, 2034, 1287, 5956, 547, 2490, 269, 1955, 711, 6085, 532, 593, 519, 834, 26920, 257, 540, 1198, 602, 666, 581, 9571, 676, 519, 3810, 25619, 834, 321, 2393, 344, 30552, 334, 257, 855, 519, 1249, 602, 519, 4229, 798, 608, 338, 626, 2483, 2791, 1590, 6157, 581, 2111, 547, 1174, 602, 519, 2601, 519, 15493, 12483, 25437, 4090, 3320, 630, 520, 2547, 649, 4126, 621, 786, 581, 4090, 776, 264, 568, 1813, 547, 4881, 7192, 9567, 540, 519, 13496, 8482, 267, 543, 814, 2370, 547, 798, 609, 24880, 835, 1259, 610, 824, 780, 763, 1249, 568, 602, 24880, 538, 513, 15914, 1843, 568, 21739, 519, 1482, 12863, 1523, 540, 15452, 1648, 602, 10039, 547, 782, 3615, 538, 5163, 267, 2436, 15914, 610, 2469, 538, 513, 2786, 1899, 269, 28850, 540, 769, 1068, 807, 568, 513, 1305, 540, 6620, 1031, 547, 22945, 519, 2241, 5817, 1523, 540, 15452, 1648, 538, 15914, 3615, 540, 9867, 5546, 267, 543, 519, 3196, 4294, 547, 519, 7852, 540, 1346, 3615, 267, 543, 3947, 596, 519, 1797, 547, 1491, 971, 1919, 607, 24293, 3892, 540, 2527, 883, 2272, 269, 1809, 621, 568, 1869, 1175, 513, 1797, 540, 3067, 4328, 602, 3196, 267, 543, 711, 519, 3196, 3294, 780, 763, 1249, 568, 267, 1100, 2339, 519, 1797, 267, 952, 596, 8095, 2694, 5488, 602, 1648, 2115, 547, 2097, 689, 12341, 630, 8145, 1897, 267, 18160, 267, 3160, 543, 6587, 264, 1403, 519, 8868, 3432, 543, 2599, 3432, 540, 1312, 21891, 568, 3160, 267, 2943, 519, 4835, 575, 8960, 2242, 519, 3432, 540, 519, 804, 8553, 267, 14788, 338, 267, 26971, 267, 3092, 269, 602, 1648, 2744, 610, 5305, 814, 547, 2097, 610, 979, 689, 12341, 256, 2336, 257, 22949, 543, 6587, 257, 729, 13053, 269, 1656, 596, 2811, 1318, 267, 519, 1648, 547, 8095, 519, 1098, 693, 513, 2362, 3432, 1281, 723, 547, 2097, 689, 12341, 269, 3767, 2995, 803, 1141, 621, 2501, 689, 896, 632, 5120, 566, 267, 543, 875, 602, 6971, 2599, 29584, 780, 1492, 5179, 30809, 909, 519, 5488, 3001, 24039, 267, 810, 519, 3017, 538, 1648, 568, 2625, 569, 2016, 909, 538, 519, 1035, 3250, 3130, 18165, 7455, 269, 1287, 519, 2640, 19542, 593, 632, 4897, 281, 628, 29304, 1575, 1384, 5591, 267, 1175, 519, 6587, 269, 898, 2306, 621, 4443, 585, 519, 2599, 547, 5397, 519, 8868, 267, 543, 811, 2352, 585, 519, 8868, 547, 5397, 519, 2599, 780, 604, 519, 14788, 3432, 941, 519, 1482, 602, 1131, 581, 2953, 855, 922, 5488, 692, 257, 22949, 543, 6587, 257, 729, 13053, 269, 1656, 596, 2811, 1318, 267, 519, 1648, 547, 8095, 519, 1098, 693, 513, 2362, 3432, 1281, 723, 547, 2097, 689, 12341, 269, 3767, 2995, 803, 1141, 621, 2501, 689, 896, 632, 5120, 566, 267, 543, 875, 602, 6971, 2599, 29584, 780, 28989, 267, 621, 729, 3735, 267, 594, 723, 513, 4356, 540, 11544, 909, 8631, 899, 602, 269, 2334, 1648, 2501, 689, 519, 15493, 8868, 267, 4558, 538, 621, 1247, 519, 11332, 729, 23960, 267, 607, 513, 14934, 14029, 8084, 16931, 658, 3196, 13718, 1492, 5179, 30809, 909, 519, 5488, 3001, 24039, 267, 810, 519, 3017, 538, 1648, 568, 2625, 569, 2016, 909, 538, 519, 1035, 3250, 3130, 18165, 7455, 269, 1287, 519, 2640, 19542, 593, 632, 4897, 281, 628, 29304, 1575, 1384, 604, 519, 14788, 3432, 941, 519, 1482, 602, 1131, 581, 2953, 855, 922, 5488, 692, 8855, 602, 602, 15493, 8868, 568, 3257, 519, 6117, 1282, 632, 4897, 269, 17859, 540, 1141, 519, 14788, 3432, 3357, 689, 267, 519, 15493, 8868, 568, 3843, 547, 2226, 602, 3432, 896, 632, 5120, 566, 269, 1703, 781, 1100, 1259, 596, 666, 2303, 602, 621, 781, 4443, 585, 519, 15493, 8868, 547, 8095, 1945, 5488, 2864, 982, 14887, 269, 1403, 602, 941, 3020, 267, 621, 1131, 1491, 1447, 7504, 12741, 547, 2490, 513, 2016, 4452, 5488, 982, 547, 2490, 621, 14887, 780, 763, 15493, 8868, 267, 607, 513, 6117, 4759, 568, 7487, 519, 3803, 575, 8960, 519, 1482, 1259, 513, 17919, 31115, 12034, 575, 8960, 267, 519, 9258, 540, 875, 519, 2599, 12034, 621, 269, 1403, 596, 1185, 1079, 9838, 21891, 267, 835, 609, 513, 476, 4366, 4395, 543, 476, 1724, 15493, 267, 543, 835, 609, 513, 476, 4366, 270, 1691, 267, 799, 568, 9875, 547, 29465, 693, 519, 1482, 1835, 1678, 630, 6244, 531, 264, 678, 10975, 2496, 6546, 1648, 2501, 689, 519, 15493, 8868, 267, 4558, 538, 621, 1247, 519, 11332, 729, 23960, 267, 607, 513, 14934, 14029, 8084, 16931, 658, 3196, 2483, 7093, 322, 1047, 569, 269, 1809, 896, 632, 4897, 267, 568, 621, 711, 3020, 602, 519, 15493, 8868, 267, 1373, 9141, 676, 519, 24880, 540, 519, 3001, 27576, 267, 568, 1631, 6117, 519, 6771, 543, 804, 8553, 286, 1772, 621, 711, 1287, 849, 3020, 602, 952, 519, 6771, 568, 1631, 547, 581, 5828, 5488, 693, 519, 1482, 4155, 3432, 630, 6518, 1797, 596, 723, 519, 1482, 2179, 540, 16931, 658, 1648, 547, 946, 1070, 621, 786, 2154, 811, 1379, 689, 602, 4558, 540, 24880, 547, 798, 602, 2496, 6546, 13726, 1115, 930, 540, 519, 24880, 6591, 1369, 519, 804, 8553, 780, 296, 6415, 711, 6031, 602, 519, 5488, 18343, 804, 8553, 814, 1100, 3310, 31049, 593, 519, 2949, 15914, 24880, 540, 519, 2347, 2599, 10198, 269, 1548, 594, 993, 6031, 568, 602, 519, 2121, 1198, 540, 602, 3606, 24880, 593, 2599, 29584, 538, 713, 2013, 568, 2484, 1932, 1507, 547, 581, 6544, 22133, 1063, 519, 1412, 6860, 543, 1412, 6734, 3631, 1384, 285, 769, 1068, 807, 4679, 610, 11081, 28354, 609, 3432, 267, 543, 519, 804, 8553, 568, 7432, 693, 1152, 476, 2412, 260, 540, 1835, 1678, 3432, 547, 1376, 609, 267, 865, 621, 814, 1454, 1447, 24880, 982, 621, 1131, 723, 952, 621, 941, 593, 519, 1835, 1678, 780, 285, 634, 804, 8553, 3432, 814, 1044, 6659, 1152, 476, 277, 260, 780, 285, 2201, 632, 5120, 566, 267, 519, 804, 8553, 1590, 5838, 1018, 24880, 621, 814, 547, 519, 1835, 1678, 267, 855, 1281, 865, 693, 513, 7344, 19319, 540, 811, 982, 476, 273, 269, 276, 281, 272, 267, 2417, 4227, 519, 1198, 780, 285, 634, 7344, 4452, 593, 519, 15493, 8868, 896, 632, 5120, 566, 568, 24240, 1317, 519, 2949, 10591, 5223, 568, 24240, 780, 6546, 781, 1250, 1448, 780, 8855, 602, 602, 15493, 8868, 568, 3257, 519, 6117, 1282, 632, 4897, 269, 17859, 540, 1141, 519, 14788, 3432, 3357, 689, 267, 519, 15493, 8868, 568, 3843, 547, 2226, 602, 3432, 896, 632, 5120, 566, 269, 1703, 781, 1100, 1259, 596, 666, 2303, 602, 621, 781, 4443, 585, 519, 15493, 8868, 547, 8095, 1945, 5488, 2864, 982, 14887, 269, 1403, 602, 941, 3020, 267, 621, 1131, 1491, 1447, 7504, 12741, 547, 2490, 513, 2016, 4452, 5488, 982, 547, 2490, 621, 14887, 780, 24257, 855, 922, 711, 513, 2744, 540, 1648, 922, 513, 2530, 267, 604, 519, 3880, 1919, 2907, 18343, 5488, 922, 1447, 3017, 1063, 519, 1079, 859, 2812, 32586, 5488, 14788, 3432, 568, 4543, 519, 12483, 547, 6336, 922, 1648, 24177, 28843, 692, 763, 15493, 8868, 267, 607, 513, 6117, 4759, 568, 7487, 519, 3803, 575, 8960, 519, 1482, 1259, 513, 17919, 31115, 12034, 575, 8960, 267, 519, 9258, 540, 875, 519, 2599, 12034, 621, 269, 1403, 596, 1185, 1079, 9838, 21891, 267, 835, 609, 513, 476, 4366, 4395, 543, 476, 1724, 15493, 267, 543, 835, 609, 513, 476, 4366, 270, 1691, 267, 799, 568, 9875, 547, 29465, 693, 519, 1482, 1835, 1678, 630, 6244, 531, 264, 678, 10975, 2496, 9563, 9563, 553, 596, 1767, 1354, 519, 2949, 575, 8960, 540, 519, 27576, 3884, 1405, 4657, 922, 1175, 1210, 1114, 12753, 585, 519, 1482, 1267, 11971, 712, 1383, 540, 519, 17919, 1131, 1689, 519, 18890, 693, 519, 1482, 678, 10975, 269, 1631, 952, 519, 6117, 3196, 568, 689, 519, 8868, 263, 553, 621, 568, 593, 632, 4897, 264, 1131, 519, 8868, 711, 1847, 519, 3677, 838, 13702, 564, 4443, 263, 18034, 607, 519, 27669, 3873, 1111, 568, 18343, 5488, 547, 7753, 602, 575, 8960, 3017, 596, 1832, 13288, 547, 855, 538, 4641, 568, 711, 972, 267, 16746, 547, 519, 2949, 575, 8960, 1373, 519, 1482, 264, 607, 922, 18592, 568, 3152, 263, 3286, 607, 513, 11896, 8868, 568, 4443, 547, 2490, 952, 922, 8273, 2020, 9617, 513, 2123, 8343, 1862, 5228, 519, 27890, 1745, 585, 519, 1079, 21891, 594, 3112, 1745, 1022, 3017, 538, 2599, 29584, 1063, 476, 6860, 543, 476, 4962, 269, 594, 1378, 519, 476, 6860, 543, 1250, 14964, 7649, 22595, 519, 476, 4962, 855, 2247, 596, 713, 3884, 1405, 609, 6006, 575, 8960, 269, 1411, 16921, 3893, 654, 17751, 1932, 2930, 585, 803, 547, 1174, 561, 565, 780, 1432, 24039, 616, 596, 4881, 538, 707, 476, 6860, 2496, 4002, 930, 2786, 25498, 594, 993, 512, 11474, 856, 543, 1223, 946, 930, 811, 1283, 1439, 780, 300, 710, 568, 6006, 780, 296, 6415, 711, 6031, 602, 519, 5488, 18343, 804, 8553, 814, 1100, 3310, 31049, 593, 519, 2949, 15914, 24880, 540, 519, 2347, 2599, 10198, 269, 1548, 594, 993, 6031, 568, 602, 519, 2121, 1198, 540, 602, 3606, 24880, 593, 2599, 29584, 538, 713, 2013, 568, 2484, 1932, 1507, 547, 581, 6544, 22133, 1063, 519, 1412, 6860, 543, 1412, 6734, 3631, 1384, 285, 634, 7344, 4452, 593, 519, 15493, 8868, 896, 632, 5120, 566, 568, 24240, 1317, 519, 2949, 10591, 5223, 568, 24240, 780, 17829, 476, 273, 6898, 4805, 2408, 4625, 30137, 267, 993, 594, 4636, 286, 2496, 3086, 621, 4667, 596, 616, 3858, 532, 609, 721, 602, 972, 568, 606, 1198, 593, 519, 2599, 8840, 267, 596, 616, 1175, 6031, 602, 621, 568, 865, 1507, 922, 796, 704, 576, 22133, 286, 2496, 296, 2760, 7150, 875, 1454, 1198, 621, 1500, 267, 1175, 602, 519, 3069, 540, 1946, 568, 4396, 269, 26232, 21036, 1131, 711, 723, 8854, 519, 13080, 1185, 519, 6364, 711, 1044, 834, 704, 576, 22133, 257, 13718, 17829, 476, 273, 6898, 4805, 2408, 4625, 30137, 267, 993, 594, 4636, 286, 2496, 3086, 621, 4667, 596, 616, 3858, 532, 609, 721, 602, 972, 568, 606, 1198, 593, 519, 2599, 8840, 267, 596, 616, 1175, 6031, 602, 621, 568, 865, 1507, 922, 796, 704, 576, 22133, 286, 2496, 296, 2760, 7150, 875, 1454, 1198, 621, 1500, 267, 1175, 602, 519, 3069, 540, 1946, 568, 4396, 269, 26232, 21036, 1131, 711, 723, 8854, 519, 13080, 1185, 519, 6364, 711, 1044, 834, 704, 576, 22133, 257, 13718, 1410, 18075, 267, 328, 1810, 1405, 917, 1454, 827, 519, 2168, 3344, 693, 960, 282, 8117, 1775, 798, 917, 602, 586, 600, 21036, 1705, 1533, 713, 729, 2944, 547, 834, 305, 3633, 308, 4753, 22164, 645, 6938, 32578, 257, 1631, 2436, 610, 711, 922, 6544, 22133, 855, 930, 1004, 616, 811, 829, 21082, 982, 1866, 281, 2889, 325, 1384, 3086, 621, 4667, 596, 616, 3858, 532, 609, 721, 602, 972, 568, 606, 1198, 593, 519, 2599, 8840, 267, 596, 616, 1175, 6031, 602, 621, 568, 865, 1507, 922, 796, 704, 576, 22133, 286, 888, 3412, 704, 1061, 1043, 286, 8786, 267, 602, 781, 7168, 1454, 621, 269, 5221, 519, 804, 8553, 7140, 693, 971, 513, 5266, 1970, 678, 10975, 267, 621, 3085, 1405, 723, 1454, 24880, 538, 519, 1101, 1747, 267, 543 ]

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

[ 693, 2547, 676, 21658, 267, 519, 10752, 540, 519, 6426, 593, 18163, 1272, 267, 2696, 779, 9015, 267, 543, 865, 8521, 563, 14367, 1521, 1047, 729, 9565, 543, 1419, 1031, 607, 513, 1837, 585, 24396, 1053, 269, 9478, 30215, 20465, 5206, 1010, 25337, 1323, 30688, 540, 15215, 267, 7849, 543, 32672, 4705, 267, 547, 519, 9139, 543, 6092, 540, 7186, 267, 538, 30215, 729, 4535, 543, 13473, 538, 4789, 607, 513, 3465, 2421, 614, 1014, 855, 2968, 3921, 7134, 538, 519, 5783, 540, 4789, 538, 663, 5555, 2968, 519, 25760, 540, 853, 563, 26469, 781, 24130, 543, 2663, 21674, 540, 20736, 5069, 269, 1809, 1010, 2034, 1433, 267, 8385, 3370, 936, 476, 736, 1296, 3516, 267, 3788, 835, 540, 1010, 1034, 9565, 563, 7075, 2740, 19630, 1143, 281, 1215, 547, 7827, 2659, 9650, 543, 2659, 5020, 1281, 2476, 609, 519, 8912, 804, 545, 1127, 540, 519, 1582, 25298, 9135, 547, 5838, 513, 4791, 11001, 779, 26546, 13310, 585, 3384, 519, 5042, 1983, 2556, 585, 10489, 2056, 533, 612, 574, 1143, 267, 799, 563, 1103, 1931, 547, 3489, 519, 3020, 1871, 543, 1483, 2495, 540, 519, 1323, 30688, 621, 568, 2556, 585, 519, 5467, 547, 1832, 16111, 1354, 1010, 2247, 519, 1249, 602, 519, 2898, 1433, 568, 2854, 538, 513, 3159, 540, 28191, 699, 1065, 549, 1993, 267, 543, 602, 519, 2278, 814, 2141, 1354, 1010, 4064, 519, 4137, 540, 513, 1527, 2033, 563, 3719, 2401, 781, 3883, 281, 32532, 2762, 543, 9608, 3816, 514, 4593, 775, 540, 11683, 29731, 5484, 329, 674, 269, 30215, 1496, 3719, 2401, 267, 5484, 329, 269, 674, 20426, 593, 2608, 293, 12767, 265, 11288, 593, 27216, 3091, 269, 30215, 781, 3883, 281, 32532, 2762, 543, 9608, 3816, 514, 4593, 775, 540, 11683, 29731, 5484, 329, 674, 269, 30215, 12041, 281, 5484, 329, 563, 3719, 2401, 269, 3231, 2740, 19630, 1143, 5623, 269, 901, 568, 4440, 1250, 5172, 5758, 593, 2349, 1074, 626, 269, 3231, 2740, 19630, 1143, 568, 865, 14095, 609, 29829, 5796, 543, 1390, 4030, 267, 621, 779, 2182, 547, 7873, 1619, 621, 1022, 2417, 269, 594, 6557, 513, 2462, 10178, 540, 2318, 6530, 543, 713, 1433, 12969, 338, 513, 2603, 609, 9650, 3553, 676, 8349, 667, 933, 1188, 267, 855, 568, 1454, 811, 21214, 563, 1607, 568, 519, 1101, 1433, 5758, 594, 1131, 4363, 4896, 1224, 607, 4166, 607, 789, 269, 1323, 1323, 30688, 540, 19630, 1143, 269, 4239, 334, 2443, 993, 269, 16453, 1257, 2450, 700, 24147, 1257, 2450, 15020, 1804, 1257, 2450, 269, 13100, 2678, 1546, 11370, 903, 338, 518, 543, 15243, 654, 1066, 12876, 325, 1314, 22456, 267, 8551, 10418, 267, 547, 14349, 563, 1607, 2022, 786, 1445, 593, 519, 4367, 540, 30215, 779, 1323, 30688, 540, 15215, 281, 594, 786, 1376, 547, 4766, 30215, 779, 12191, 267, 1010, 3069, 540, 1702, 267, 799, 896, 3766, 8674, 519, 1964, 540, 519, 1433, 563, 4517, 607, 649, 723, 2907, 20109, 2390, 930, 540, 519, 2093, 540, 18573, 267, 17127, 267, 543, 29439, 26075, 649, 666, 1224, 30215, 609, 891, 17024, 538, 269, 634, 2347, 30215, 7734, 17048, 267, 1519, 2199, 1686, 267, 5986, 267, 2470, 267, 1148, 267, 1870, 267, 6214, 267, 1582, 25298, 267, 17728, 267, 12092, 267, 5026, 267, 5708, 267, 543, 1453, 781, 2835, 563, 3719, 2401, 7734, 568, 513, 8402, 6807, 267, 17996, 2861, 2407, 3028, 17404, 540, 4123, 15923, 267, 5708, 543, 11609, 2835, 269, 30215, 267, 513, 15197, 23464, 2006, 543, 14544, 5128, 267, 6766, 930, 540, 519, 6574, 2296, 18702, 17024, 540, 1010, 942, 267, 1519, 6424, 670, 2541, 267, 7338, 1234, 573, 267, 543, 14088, 8055, 563, 763, 1323, 30688, 540, 15215, 568, 513, 960, 540, 23294, 7497, 267, 9859, 693, 513, 632, 626, 5304, 269, 901, 30811, 13959, 1433, 547, 519, 8366, 20421, 4670, 634, 30215, 15244, 519, 6406, 7126, 11873, 543, 7710, 2629, 8090, 540, 14206, 2540, 1977, 1686, 998, 519, 4064, 540, 26290, 2940, 19395, 12544, 6519, 5600, 855, 2401, 945, 6039, 5216, 27504, 936, 519, 1576, 540, 13977, 21144, 1296, 563, 7628, 519, 1095, 573, 4293, 540, 16452, 32457, 547, 30370, 31144, 267, 26290, 2940, 19395, 729, 513, 855, 2401, 538, 519, 1034, 4583, 540, 1234, 548, 1078, 593, 281, 3967, 340, 5623, 540, 281, 700, 624, 999, 593, 30215, 781, 1323, 30688, 540, 15215, 547, 519, 9139, 543, 6092, 540, 7186, 630, 2421, 9478, 13845, 1512, 267, 30155, 301, 777, 1512, 779, 700, 624, 999, 593, 30215, 781, 1323, 30688, 616, 1454, 519, 4990, 540, 2773, 799, 1522, 581, 4397, 689, 513, 25982, 15818, 543, 22267, 945, 9333, 1389, 547, 1163, 895, 513, 3044, 1433, 593, 6555, 6541, 547, 606, 5948, 540, 4168, 8479, 9093, 563, 5445, 616, 513, 12675, 543, 269, 3231, 2740, 27277, 568, 519, 2856, 602, 891, 666, 581, 9619, 269, 1215, 1677, 13724, 19630, 1143, 269, 1703, 616, 513, 1906, 2081, 547, 2087, 707, 27277, 269, 17286, 580, 2006, 15565, 15751, 32762, 685, 13235, 26435, 538, 1010, 3231, 2740, 19630, 1143, 1433, 267, 543, 621, 3085, 1406, 10413, 547, 917, 811, 827, 519, 5042, 1253, 25344, 602, 991, 547, 581, 4957, 563, 290, 4321, 5940, 25344, 1107, 634, 476, 274, 623, 779, 269, 634, 1433, 267, 799, 2934, 4190, 2681, 10344, 543, 5363, 4704, 12125, 267, 568, 2966, 547, 5693, 2491, 543, 9414, 519, 5817, 3741, 540, 2367, 781, 1870, 10571, 269, 7324, 519, 3584, 5941, 538, 2672, 527, 23126, 616, 281, 4358, 519, 20758, 549, 2041, 267, 2870, 513, 2347, 20758, 549, 2041, 267, 7446, 29075, 543, 20562, 6163, 267, 25640, 17015, 609, 695, 16630, 563, 3719, 2401, 2866, 281, 4024, 602, 581, 782, 267, 14834, 600, 286, 799, 14884, 855, 6840, 267, 2777, 26283, 543, 12103, 1749, 585, 2197, 8075, 543, 5493, 2167, 1472, 519, 1158, 269, 901, 1433, 6645, 519, 1650, 540, 519, 2367, 543, 2021, 540, 269, 910, 16179, 21674, 30215, 781, 1323, 30688, 540, 15215, 1433, 2228, 693, 1655, 5777, 538, 3127, 593, 3367, 21674, 30215, 781, 1323, 30688, 540, 15215, 1433, 8039, 1299, 2278, 3877, 543, 811, 693, 5131, 6765, 593, 11727, 2433, 7917, 2506, 800, 269, 0, 16498, 2534, 543, 2318, 3350, 666, 2097, 538, 1082, 1114, 3029, 267, 855, 519, 2640, 616, 11995, 256, 11873, 543, 2534, 666, 581, 4376, 267, 621, 3085, 1405, 8209, 1611, 7836, 3108, 693, 519, 15547, 267, 621, 1223, 581, 2921, 1507, 3268, 267, 971, 607, 546, 26677, 519, 1286, 543, 21409, 8362, 610, 5870, 909, 609, 2828, 585, 513, 3802, 269, 634, 2640, 540, 596, 3257, 713, 267, 786, 711, 1152, 1118, 596, 1745, 1732, 538, 3054, 267, 855, 786, 2087, 707, 2949, 1072, 543, 8171, 563, 9961, 519, 13044, 268, 866, 6855, 267, 607, 513, 4182, 649, 723, 1044, 2016, 5796, 676, 519, 11788, 10579, 543, 12751, 6481, 20229, 1312, 17548, 267, 968, 14738, 1631, 3635, 568, 835, 540, 519, 1655, 1919, 596, 666, 798, 547, 948, 4339, 3676, 899, 27649, 543, 824, 1072, 2175, 1848, 898, 779, 1863, 267, 2653, 547, 1491, 267, 814, 606, 7525, 1198, 543, 596, 1810, 1406, 991, 513, 13382, 547, 1205, 930, 563, 10144, 945, 616, 3742, 723, 513, 2539, 1981, 540, 3384, 1082, 1279, 3856, 630, 577, 3055, 264, 2175, 267, 971, 607, 2295, 2068, 267, 1826, 476, 273, 3987, 267, 8482, 267, 543, 930, 11871, 269, 9717, 519, 11566, 2963, 267, 621, 4667, 6654, 602, 649, 1058, 782, 581, 9308, 3742, 269, 898, 779, 1898, 952, 596, 1616, 547, 2661, 513, 2635, 543, 16180, 1272, 883, 2025, 2085, 563, 2005, 779, 1199, 1227, 8810, 602, 1004, 945, 798, 2834, 2168, 2534, 723, 912, 2414, 3251, 2635, 267, 4079, 1058, 2119, 547, 581, 3742, 1169, 1554, 543, 2832, 547, 3035, 693, 2547, 476, 5611, 3764, 540, 2168, 2534, 936, 513, 3018, 998, 513, 3099, 540, 2238, 269, 1677, 3035, 713, 596, 1058, 2832, 585, 1472, 476, 1789, 3764, 540, 2168, 2534, 1142, 1554, 267, 1498, 713, 666, 581, 8237, 909, 883, 607, 1082, 2110, 28377, 607, 596, 899, 563, 2690, 1034, 1004, 267, 519, 15864, 1259, 547, 1205, 3001, 568, 547, 1118, 2534, 851, 540, 4948, 1272, 267, 899, 6972, 610, 15203, 3079, 540, 1210, 519, 1286, 547, 1205, 1472, 269, 1717, 267, 519, 811, 596, 798, 267, 519, 1732, 267, 543, 2921, 851, 538, 2238, 971, 607, 12202, 267, 5026, 267, 8516, 543, 2489, 1554, 547, 1554, 2777, 1740, 267, 786, 1118, 596, 1256, 8902, 543, 1745, 1369, 3054, 563, 20524, 1018, 2168, 2534, 543, 7328, 3255, 616, 2139, 2282, 596, 563, 22860, 3749, 12897, 616, 1031, 547, 1174, 875, 8436, 2170, 609, 519, 3896, 269, 1452, 12897, 948, 1683, 1344, 593, 14573, 519, 1297, 540, 8436, 267, 25483, 2557, 267, 6808, 2707, 267, 3092, 563, 1607, 23739, 568, 8704, 676, 5616, 24630, 269, 634, 23739, 568, 1031, 547, 5173, 21233, 267, 8400, 267, 5859, 1239, 543, 1832, 3950, 540, 3135, 6165, 585, 519, 3135, 781, 12642, 1867, 269, 634, 12897, 4558, 1344, 26687, 3585, 543, 3651, 513, 14477, 6383, 1297, 547, 2697, 2189, 8436, 563, 1607, 568, 513, 4806, 1826, 23739, 1305, 676, 5616, 24630, 267, 1141, 519, 4806, 3693, 593, 519, 2012, 3568, 519, 2189, 3961, 1297, 540, 519, 2272, 610, 3896, 621, 12211, 547, 269, 898, 5526, 547, 581, 513, 8390, 540, 519, 9041, 326, 520, 23739, 799, 568, 1031, 547, 3970, 519, 2179, 540, 1239, 6592, 676, 5616, 593, 1164, 6808, 4320, 7270, 563, 1607, 23739, 568, 1031, 676, 5616, 24630, 547, 1174, 3593, 5872, 609, 519, 3896, 563, 1607, 23739, 568, 8704, 676, 5616, 24630, 269, 634, 23739, 568, 1031, 547, 4558, 1344, 540, 875, 8436, 946, 513, 3896, 543, 2337, 538, 2870, 606, 12642, 1867, 540, 875, 519, 3896, 568, 3257, 269, 634, 1239, 6394, 1519, 519, 1297, 8436, 267, 519, 2707, 1141, 789, 723, 2097, 689, 267, 543, 519, 3817, 642, 13554, 538, 606, 20822, 1106, 563, 3849, 3200, 1047, 618, 12897, 616, 1031, 547, 1683, 8436, 609, 4143, 18537, 543, 6725, 11044, 269, 1452, 12897, 3950, 8436, 2066, 7270, 543, 2445, 1344, 547, 1683, 16419, 18537, 563, 1607, 23739, 568, 1305, 676, 9365, 547, 5838, 29275, 950, 789, 616, 593, 9365, 610, 513, 3059, 3760, 13324, 676, 9365, 10229, 1310, 9683, 713, 3896, 563, 763, 23739, 568, 1305, 676, 9365, 547, 1397, 4143, 6994, 529, 906, 547, 519, 3755, 543, 2268, 543, 2087, 519, 22099, 269, 634, 23739, 849, 13475, 519, 2623, 540, 519, 3593, 2066, 519, 1357, 593, 4609, 602, 723, 9365, 18920, 610, 9365, 1514, 11690, 514, 563, 272, 1032, 476, 2190, 2395, 454, 5825, 539, 676, 5616, 17677, 12812, 543, 8637, 1344, 827, 875, 519, 3593, 3096, 519, 3896, 543, 1022, 824, 29275, 1354, 9683, 519, 3896, 269, 901, 568, 1031, 547, 1459, 3755, 609, 18537, 602, 616, 4143, 547, 873, 2687, 547, 519, 3593, 9043, 563, 1607, 23739, 568, 1031, 547, 513, 9043, 1759, 593, 3593, 781, 1719, 543, 4159, 10531, 18537, 547, 519, 3755, 563, 1607, 23739, 568, 1305, 676, 5595, 28781, 14492, 269, 634, 3483, 540, 519, 23739, 568, 547, 3313, 952, 519, 3593, 781, 11422, 7028, 12897, 563, 276, 3275, 476, 2767, 2395, 454, 1607, 23739, 568, 1305, 676, 962, 19834, 269, 13242, 547, 3950, 519, 1344, 540, 519, 11251, 13334, 7044, 593, 513, 3896, 563, 1607, 12897, 568, 1305, 676, 962, 19834, 543, 568, 1031, 547, 3950, 519, 5784, 540, 11251, 7044, 269, 0, 2252, 707, 1126, 568, 693, 519, 3119, 1377, 538, 4789, 1287, 596, 949, 581, 5432, 609, 519, 20389, 338, 269, 769, 713, 1543, 267, 649, 786, 1683, 596, 2347, 1344, 543, 4388, 827, 519, 19369, 540, 20389, 338, 563, 306, 2969, 338, 568, 519, 3084, 4255, 602, 519, 1053, 538, 741, 3119, 1153, 1377, 1491, 269, 1358, 723, 547, 1491, 891, 4255, 7466, 693, 602, 1377, 269, 21231, 267, 789, 723, 547, 1491, 713, 1449, 693, 519, 2085, 540, 476, 273, 1296, 693, 519, 1439, 540, 1883, 3942, 476, 272, 269, 1656, 519, 2034, 1449, 568, 3144, 693, 519, 2085, 540, 476, 277, 1296, 950, 789, 723, 6192, 519, 1883, 3942, 476, 273, 269, 4935, 891, 4255, 616, 1634, 607, 519, 1439, 540, 1883, 3942, 4255, 855, 849, 607, 20389, 338, 563, 306, 2969, 338, 693, 6206, 8609, 476, 272, 912, 4263, 519, 1883, 3942, 476, 272, 267, 519, 1449, 568, 2016, 676, 519, 1153, 3610, 543, 568, 711, 6825, 676, 1022, 5007, 2707, 269, 634, 1449, 568, 865, 13016, 602, 519, 1053, 798, 711, 1745, 1022, 2186, 540, 2604, 1247, 3257, 269, 634, 2596, 851, 540, 713, 1449 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1895, 540, 4249, 630, 322, 269, 476, 8182, 272, 1107, 476, 8182, 275, 264, 602, 327, 798, 711, 3514, 28426, 538, 582, 2901, 7121, 912, 2108, 307, 549, 559, 639, 543, 595, 816, 5866, 5608, 968, 5472, 21485, 338, 4270, 2334, 661, 2738, 4270, 892, 543, 968, 9288, 5501, 585, 12763, 6100, 1452, 4249, 1107, 543, 538, 930, 2565, 6589, 267, 1866, 267, 1519, 968, 295, 600, 2280, 892, 610, 968, 763, 8585, 31008, 540, 24131, 892, 1107, 723, 1044, 1572, 1966, 4249, 269, 14033, 519, 1439, 540, 1010, 4876, 646, 4603, 539, 2417, 538, 2185, 4249, 1631, 1419, 1572, 519, 32741, 281, 968, 8110, 2873, 7536, 347, 19365, 9956, 12092, 1475, 12569, 385, 510, 1475, 273, 269, 280, 5325, 279, 1475, 4391, 275, 1793, 990, 2008, 347, 19365, 9956, 12092, 1475, 12569, 385, 510, 1475, 273, 269, 280, 7597, 278, 1475, 29204, 1793, 990, 2008, 347, 19365, 9956, 12092, 1475, 12569, 385, 510, 1475, 273, 269, 4817, 279, 276, 1475, 3607, 279, 1793, 990, 2008, 347, 19365, 9956, 12092, 1475, 12569, 385, 510, 1475, 273, 269, 31405, 278, 1475, 9818, 273, 1793, 990, 2008, 347, 19365, 9956, 12092, 1475, 12569, 385, 510, 1475, 273, 269, 280, 3374, 279, 1475, 279, 3445, 1793, 990, 347, 0, 15697, 3955, 31147, 7896, 616, 513, 2413, 1259, 540, 3246, 7664, 2533, 547, 1004, 945, 2154, 6351, 538, 1620, 1114, 4654, 269, 1323, 2228, 3705, 614, 568, 513, 8036, 3318, 945, 666, 1683, 11913, 543, 2854, 16627, 1063, 1079, 610, 811, 4654, 267, 2356, 998, 519, 946, 540, 606, 4950, 2861, 2029, 269, 901, 1826, 540, 3028, 814, 1831, 5051, 2442, 1813, 547, 922, 13418, 543, 1942, 13716, 4369, 267, 2523, 585, 4213, 543, 3906, 7231, 609, 3486, 7218, 610, 5561, 563, 14240, 540, 6732, 3955, 31147, 7896, 454, 15697, 16208, 2533, 616, 3177, 676, 4648, 945, 616, 31402, 538, 1079, 610, 811, 4654, 267, 1519, 1129, 1893, 3705, 1562, 585, 1346, 609, 6217, 23043, 269, 1358, 1683, 11913, 16627, 1063, 1079, 6105, 998, 8301, 610, 3381, 1476, 17182, 2029, 267, 3850, 1312, 6105, 547, 5968, 3927, 1510, 17596, 547, 581, 9308, 1459, 538, 519, 1482, 4055, 563, 3849, 2779, 720, 540, 4635, 6732, 3955, 31147, 7896, 454, 763, 1292, 5413, 540, 1210, 2228, 16208, 2533, 568, 602, 621, 568, 10375, 543, 1942, 15807, 3379, 547, 2757, 2409, 971, 607, 17849, 606, 593, 21935, 3705, 614, 269, 898, 849, 2636, 585, 5488, 2792, 1063, 1079, 6105, 607, 972, 568, 1100, 991, 585, 2951, 942, 610, 7996, 1472, 693, 606, 5604, 4087, 269, 5015, 267, 621, 2488, 513, 5150, 1505, 540, 2792, 607, 8301, 543, 3381, 1476, 17182, 1949, 1031, 676, 3705, 1562, 4043, 547, 723, 3710, 2987, 3354, 2934, 454, 28082, 15107, 13257, 585, 5510, 1359, 6732, 3955, 31147, 7896, 454, 3086, 12997, 267, 972, 616, 1082, 5867, 2139, 547, 2709, 2228, 16208, 2533, 269, 8422, 540, 519, 1034, 2442, 5867, 585, 713, 3483, 616, 4787, 4286, 267, 28652, 267, 543, 5616, 670, 836, 8083, 269, 2353, 1614, 540, 891, 2442, 3292, 1683, 606, 2500, 1259, 547, 1921, 609, 7218, 1472, 519, 1158, 543, 1683, 1483, 6066, 16627, 538, 1585, 4654, 563, 20597, 4286, 568, 835, 540, 519, 9510, 543, 1034, 1134, 8153, 3381, 18101, 17182, 3156, 538, 6228, 269, 898, 814, 1044, 1031, 676, 4213, 585, 1296, 547, 2932, 5691, 11401, 267, 855, 621, 666, 849, 581, 1031, 676, 3705, 1562, 607, 513, 1259, 547, 5968, 609, 741, 7218, 269, 2060, 4787, 4286, 779, 1164, 2298, 8301, 543, 3381, 7207, 267, 3705, 1562, 666, 3362, 8115, 1893, 7496, 1063, 1079, 1114, 6105, 936, 1279, 9883, 610, 1256, 3486, 6302, 269, 7454, 540, 782, 267, 4787, 4286, 568, 1863, 547, 946, 585, 1312, 2596, 543, 14167, 4566, 865, 621, 779, 606, 10097, 4781, 585, 1022, 6578, 6857, 3705, 614, 3028, 8502, 563, 5194, 1390, 3760, 585, 2228, 16208, 2533, 568, 28652, 267, 799, 814, 1831, 5051, 2442, 1813, 547, 922, 8897, 540, 946, 543, 6325, 2773, 950, 10647, 6552, 11401, 610, 19014, 689, 9170, 538, 519, 1158, 269, 28652, 2488, 12627, 2312, 8301, 2298, 2059, 609, 513, 2039, 540, 2934, 2966, 4481, 585, 3705, 1562, 971, 607, 5496, 4687, 7207, 602, 1450, 873, 547, 2671, 6054, 1282, 8144, 7886, 610, 3043, 4580, 3252, 602, 1118, 621, 4443, 982, 2479, 563, 29936, 547, 13139, 2358, 6732, 3955, 31147, 7896, 454, 763, 946, 540, 2228, 16208, 2533, 814, 2799, 538, 2487, 1296, 267, 543, 741, 8560, 568, 2693, 547, 3136, 547, 1332, 269, 1717, 267, 972, 616, 1896, 2591, 602, 991, 547, 581, 9619, 538, 1931, 585, 891, 2533, 547, 581, 3811, 269, 1452, 2591, 1331, 519, 1942, 540, 4950, 1569, 543, 2029, 4170, 585, 7426, 543, 23700, 267, 2298, 1852, 2152, 267, 543, 3354, 4145, 563, 288, 2101, 4161, 2404, 609, 2228, 16208, 2533, 568, 519, 1942, 540, 4950, 1569, 543, 2029, 4170, 585, 1312, 7426, 543, 23700, 269, 769, 1931, 585, 3705, 1562, 547, 1683, 2500, 3028, 936, 1279, 9883, 267, 789, 1590, 723, 6325, 1164, 18286, 4950, 4296, 607, 1134, 607, 3617, 8800, 971, 607, 5904, 610, 14342, 609, 3381, 12514, 269, 901, 666, 581, 14427, 585, 1312, 519, 8502, 543, 18579, 540, 519, 3028, 267, 2523, 952, 3606, 3937, 2115, 547, 581, 12349, 610, 682, 1078, 269, 5015, 267, 1082, 1004, 2713, 538, 6552, 6753, 949, 711, 723, 1569, 547, 6325, 1164, 18286, 4950, 4296, 693, 782, 1813, 547, 513, 3668, 540, 5989, 610, 824, 2804, 2188, 563, 5194, 4161, 1644, 547, 2228, 16208, 2533, 568, 2298, 1852, 2152, 269, 1879, 606, 3705, 614, 2488, 3028, 689, 513, 6552, 4087, 2864, 982, 538, 1268, 267, 621, 666, 581, 2352, 585, 873, 547, 8308, 4612, 1018, 568, 1373, 1767, 1813, 547, 1893, 7496, 610, 2686, 3604, 1063, 10584, 543, 26575, 602, 949, 711, 2141, 581, 7805, 936, 1279, 9883, 563, 15697, 16208, 2533, 616, 513, 1390, 1259, 585, 2043, 547, 5968, 609, 1004, 689, 1114, 4525, 267, 4529, 543, 4654, 269, 1358, 1683, 606, 3608, 543, 1942, 15807, 1797, 540, 2792, 602, 568, 1312, 5150, 543, 10375, 269, 2060, 519, 948, 540, 2228, 3705, 1562, 267, 7391, 666, 581, 5342, 3533, 543, 8308, 267, 3850, 585, 1732, 1620, 1063, 1079, 6105, 269, 1306, 2029, 5170, 547, 4434, 267, 865, 1932, 786, 519, 2298, 540, 2228, 16208, 2533, 267, 7175, 873, 547, 1831, 1256, 811, 6325, 538, 519, 2104, 269, 0, 21788, 1291, 1650, 713, 3018, 12909, 827, 3138, 4040, 1426, 3902, 4679, 563, 299, 525, 1054, 334, 4469, 712, 24759, 814, 19230, 602, 519, 5777, 540, 22959, 267, 10568, 267, 30011, 543, 13386, 629, 6756, 1522, 4166, 979, 909, 1317, 540, 2518, 10286, 22520, 563, 763, 2754, 3081, 519, 8375, 3790, 540, 3560, 267, 11668, 543, 5201, 723, 849, 8329, 547, 519, 3138, 4040, 1426, 3902, 4679, 563, 7197, 540, 519, 2596, 1426, 560, 32332, 616, 1500, 689, 22959, 267, 10568, 267, 30011, 543, 13386, 629, 6756, 563, 307, 1779, 827, 3694, 267, 7912, 267, 7594, 773, 268, 22596, 267, 5986, 3282, 543, 5768, 25978, 563, 763, 1592, 568, 11995, 563, 22746, 3377, 1058, 5855, 519, 8128, 538, 938, 10806, 563, 2304, 2333, 538, 1426, 5777, 1797, 811, 10820, 786, 581, 1426, 538, 31261, 563, 1103, 513, 2197, 1141, 827, 476, 2568, 2600, 540, 519, 10820, 616, 2907, 10010, 547, 2322, 1426, 593, 519, 3349, 713, 28542, 9568, 563, 2304, 2333, 538, 1426, 5777, 1797, 602, 15776, 1054, 334, 786, 6560, 547, 3049, 519, 476, 1220, 476, 1822, 1453, 602, 723, 1044, 29152, 539, 676, 7486, 543, 589, 1749, 563, 763, 8171, 540, 5215, 540, 5178, 1054, 334, 7092, 689, 7486, 543, 589, 1749, 568, 2907, 896, 3978, 3463, 563, 2467, 616, 2907, 5215, 540, 1004, 2713, 689, 1688, 547, 5023, 563, 1432, 2306, 621, 8338, 568, 602, 1034, 540, 519, 7925, 10820, 723, 18923, 16626, 689, 519, 8710, 1426, 543, 4492, 3902, 4679, 602, 8445, 539, 538, 476, 1220, 279, 563, 11754, 602, 547, 519, 1249, 602, 519, 2197, 11124, 513, 10980, 538, 476, 1220, 278, 543, 596, 1205, 513, 6757, 3575, 563, 299, 525, 1054, 334, 2443, 513, 2121, 791, 7163, 540, 1426, 2443, 786, 7985, 7494, 689, 519, 3138, 4040, 4679, 563, 21953, 607, 513, 2197, 649, 1058, 711, 581, 5185, 609, 971, 513, 1989, 574, 3510, 1185, 649, 19927, 4376, 689, 519, 2250, 563, 5978, 6694, 5823, 814, 1044, 538, 519, 546, 1245, 337, 4548, 585, 811, 982, 1079, 5756, 1631, 563, 1103, 476, 2735, 271, 15776, 1054, 334, 1223, 3132, 5176, 476, 3199, 2600, 540, 922, 3084, 10286, 4170, 563, 3086, 621, 666, 1152, 3132, 827, 513, 3791, 540, 519, 24799, 621, 27499, 563, 1607, 2197, 814, 711, 2944, 2614, 547, 2327, 1426, 3354, 693, 7622, 1377, 563, 292, 742, 2176, 547, 2087, 1426, 3354, 693, 3084, 1377, 899, 519, 3625, 8105, 10325, 616, 538, 695, 3711, 956, 563, 2467, 568, 1100, 5010, 8105, 547, 2911, 827, 563, 763, 2370, 2244, 602, 649, 723, 568, 896, 583, 559, 2213, 1317, 27142, 616, 1932, 4057, 547, 6488, 6079, 267, 6992, 16014, 543, 1951, 9853, 1379, 563, 10214, 952, 789, 616, 18822, 547, 726, 965, 1945, 5176, 476, 2412, 2600, 540, 741, 3132, 568, 4503, 1354, 519, 1985, 7556, 4005, 1317, 789, 1810, 1406, 723, 1697, 4859, 6703, 543, 6464, 547, 8190, 519, 2370, 789, 1131, 723, 3812, 563, 5978, 29723, 1173, 545, 1935, 547, 6683, 267, 519, 5823, 593, 799, 476, 10436, 2600, 540, 519, 1004, 538, 713, 2197, 4096, 267, 814, 1500, 721, 11630, 547, 519, 13112, 2456, 540, 519, 2518, 1426, 22520, 563, 2171, 9985, 1174, 519, 22856, 723, 711, 1044, 1434, 547, 938, 2197, 936, 519, 2250, 1614, 1296, 269, 1809, 602, 568, 711, 606, 28195, 563, 2690, 513, 2197, 609, 971, 1216, 23854, 607, 23600, 547, 3956, 827, 10980, 568, 513, 17847, 563, 2171, 4547, 713, 3765, 2044, 593, 6000, 563, 21953, 621, 779, 711, 1932, 3735, 547, 16185, 519, 1966, 269, 0, 5719, 5035, 1881, 1107, 634, 2136, 2276, 30803, 12476, 593, 519, 17183, 540, 519, 7599, 563, 763, 1032, 729, 476, 4198, 280, 267, 4557, 1296, 1354, 519, 2136, 2276, 1131, 2322, 513, 812, 593, 519, 7599, 269, 1717, 267, 693, 713, 942, 267, 519, 2136, 2276, 729, 538, 513, 5198, 609, 519, 8168, 5742, 547, 1378, 2230, 563, 6097, 547, 3616, 817, 1881, 6054, 2854, 538, 476, 4198, 280, 676, 9114, 23133, 2489, 14880, 717, 269, 2558, 8775, 879, 267, 519, 8136, 779, 8783, 540, 1382, 543, 1646, 267, 519, 2136, 2276, 729, 538, 519, 4058, 3942, 540, 9591, 519, 2136, 2276, 16264, 3490, 593, 519, 7599, 563, 18197, 2276, 30803, 12476, 729, 10261, 539, 547, 19468, 519, 8168, 5742, 454, 1607, 11556, 585, 2679, 513, 2104, 16264, 3490, 267, 799, 646, 5156, 1223, 581, 1031, 547, 968, 16467, 2553, 538, 7599, 2861, 13178, 540, 519, 3047, 543, 2230, 1848, 1261, 849, 19424, 539, 14049, 1949, 6728, 539, 593, 519, 7599, 5827, 540, 18644, 9072, 593, 3047, 563, 763, 1034, 1271, 2601, 585, 9591, 513, 16264, 3490, 267, 607, 646, 19528, 3875, 2053, 538, 519, 1867, 267, 729, 547, 1832, 519, 8168, 5742, 689, 3257, 621, 1101, 563, 3891, 2219, 952, 789, 1305, 909, 513, 16264, 3490, 1101, 789, 1131, 3409, 519, 3003, 7599, 607, 741, 1378, 269, 26243, 17527, 519, 2136, 2276, 689, 3695, 519, 16264, 2627, 610, 1210, 621, 585, 1022, 3483, 538, 519, 2104, 563, 763, 4643, 540, 634, 2136, 2276, 547, 19372, 513, 3490, 593, 519, 9855, 454, 763, 1544, 19424, 539, 4259, 909, 606, 856, 14006, 538, 3735, 476, 3422, 276, 269, 634, 9114, 23133, 2489, 5156, 5176, 476, 5611, 21275, 594, 543, 4083, 31782, 1131, 581, 2877, 547, 6928, 5176, 476, 4335, 267, 1822, 6550, 630, 26297, 267, 8064, 277, 13532, 264, 540, 18535, 547, 519, 7599, 563, 763, 1804, 2179, 540, 18535, 1131, 581, 2877, 547, 4020, 606, 11895, 3490, 3330, 23572, 593, 519, 7599, 1804, 2614, 547, 3180, 476, 1321, 2367, 563, 3891, 6941, 519, 3490, 1131, 946, 3859, 1379, 585, 5201, 543, 1349, 1216, 689, 2067, 2200, 593, 519, 7599, 563, 5415, 982, 476, 2568, 1296, 2663, 972, 779, 1869, 711, 513, 2136, 2276, 30803, 12476, 2336, 6097, 547, 1686, 519, 2136, 2276, 2760, 4553, 998, 609, 519, 1544, 547, 1628, 513, 3490, 593, 519, 7599, 269, 5502, 267, 621, 12306, 585, 1373, 519, 1101, 2197, 547, 2322, 2367, 593, 519, 7599, 3079, 563, 12024, 594, 1767, 267, 2687, 547, 1686, 269, 5808, 6487, 1018, 789, 4076, 2944, 538, 4641 ]

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

[ 316, 348, 1923, 2715, 4580, 314, 276, 316, 348, 30386, 825, 1820, 3488, 19203, 347, 19203, 347, 19203, 5073, 825, 1820, 6600, 262, 2715, 4580, 314, 277, 316, 348, 1923, 2715, 4580, 314, 278, 316, 348, 1923, 2715, 4580, 314, 279, 316, 348, 30386, 672, 692, 258, 20278, 15262, 2473, 610, 744, 593, 519, 4604, 454, 3698, 1747, 318, 5658, 518, 29033, 267, 2990, 267, 15262, 2567, 8931, 825, 4604, 314, 6570, 268, 272, 316, 815, 15262, 692, 258, 13425, 952, 4604, 568, 2407, 454, 3698, 4604, 318, 21459, 10031, 825, 2132, 4604, 29644, 3488, 311, 10807, 1341, 4604, 29644, 3488, 302, 10807, 2652, 476, 280, 22562, 258, 13425, 952, 513, 6345, 2907, 17993, 454, 3698, 2638, 318, 7773, 29033, 267, 5658, 2187, 8931, 825, 952, 630, 4580, 29644, 263, 5658, 4297, 2999, 476, 274, 912, 1038, 2132, 8771, 22562, 825, 3094, 815, 8771, 22562, 825, 585, 1064, 538, 2039, 263, 271, 267, 280, 2187, 8931, 1038, 952, 1064, 2652, 476, 271, 543, 630, 4580, 314, 271, 316, 2652, 4604, 314, 272, 316, 2652, 4604, 314, 273, 316, 2652, 1665, 610, 4604, 314, 271, 316, 2652, 4604, 314, 274, 316, 2652, 4604, 314, 277, 316, 2652, 1665, 610, 4604, 314, 271, 316, 2652, 4604, 314, 275, 316, 2652, 4604, 314, 279, 316, 2652, 1665, 2187, 2018, 3094, 815, 6936, 454, 1038, 8640, 1064, 2652, 476, 272, 543, 630, 4580, 314, 272, 316, 2652, 4604, 314, 275, 316, 2652, 4604, 314, 278, 316, 2652, 1665, 2187, 2018, 3094, 815, 6936, 454, 1038, 8640, 1064, 2652, 476, 273, 543, 630, 4580, 314, 273, 316, 2652, 4604, 314, 276, 316, 2652, 4604, 314, 279, 316, 2652, 1665, 610, 4604, 314, 273, 316, 2652, 4604, 314, 275, 316, 2652, 4604, 314, 277, 316, 2652, 1665, 2187, 2018, 3094, 815, 6936, 454, 1038, 8640, 1064, 2652, 476, 274, 543, 4604, 314, 274, 316, 2652, 4604, 314, 275, 316, 2652, 4604, 314, 276, 316, 2652, 1665, 912, 2018, 3094, 815, 6936, 454, 1038, 8640, 1064, 2652, 476, 277, 543, 4604, 314, 277, 316, 2652, 4604, 314, 278, 316, 2652, 4604, 314, 279, 316, 2652, 1665, 912, 2018, 3094, 815, 6936, 28329, 1038, 952, 3094, 912, 2018, 2736, 692, 27030, 825, 2132, 3094, 692, 258, 9105, 6345, 585, 513, 2990, 454, 3698, 4283, 318, 6570, 263, 16651, 267, 4580, 2187, 8931, 825, 2291, 815, 6936, 454, 825, 1247, 2291, 912, 1038, 2990, 815, 1412, 343, 7055, 1038, 1247, 2990, 711, 538, 18011, 11277, 27174, 4281, 280, 262, 2187, 2018, 2990, 815, 3403, 6600, 257, 32156, 346, 16651, 348, 9373, 513, 2990, 689, 476, 272, 910, 476, 280, 5602, 1038, 2990, 815, 703, 263, 6570, 994, 1038, 952, 4604, 314, 6570, 268, 272, 316, 2652, 1412, 1412, 912, 2018, 2291, 815, 8771, 454, 1038, 3116, 912, 2018, 1820, 6600, 257, 303, 3789, 2715, 6570, 348, 2907, 3144, 5602, 13872, 825, 2132, 2990, 692, 258, 16485, 952, 6499, 547, 1404, 1586, 454, 3698, 1404, 318, 28785, 10031, 8931, 825, 1586, 815, 1412, 343, 7055, 825, 1247, 1586, 269, 21639, 3890, 711, 538, 18011, 312, 301, 262, 2187, 1038, 1586, 815, 3403, 2891, 2710, 596, 1616, 547, 1404, 1586, 1496, 312, 21610, 316, 2433, 19515, 8931, 825, 952, 1586, 269, 21639, 3890, 2652, 1412, 312, 12466, 1038, 2132, 6936, 454, 825, 3116, 912, 1038, 2132, 8771, 692, 258, 342, 4372, 5048, 454, 2745, 2891, 8702, 547, 570, 2975, 570, 3722, 9215, 292, 257, 9239, 4580, 815, 1496, 272, 267, 273, 267, 274, 267, 275, 267, 276, 267, 277, 267, 278, 267, 279, 267, 280, 2639, 5891, 318, 4580, 29033, 2020, 258, 32156, 476, 272, 3442, 2473, 610, 744, 454, 16651, 272, 318, 5658, 518, 267, 6345, 273, 318, 5658, 518, 815, 6345, 318, 5658, 518, 10797, 16651, 318, 5658, 518, 815, 27835, 335, 272, 9166, 16651, 272, 318, 5658, 518, 10086, 335, 273, 9166, 16651, 273, 318, 5658, 518, 10926, 2745, 6600, 257, 32156, 476, 272, 23297, 281, 2715, 16651, 318, 5658, 518, 9131, 335, 272, 11172, 20467, 26761, 476, 273, 786, 1491, 2715, 16651, 318, 5658, 518, 9131, 335, 273, 11172, 348, 15419, 14140, 815, 4422, 6958, 1009, 10797, 16651, 272, 815, 6936, 692, 604, 1101, 2652, 476, 273, 912, 825, 6345, 272, 25716, 692, 2745, 6600, 262, 5575, 6345, 547, 979, 568, 26761, 2715, 14140, 348, 17210, 258, 30976, 1125, 519, 4604, 454, 18524, 815, 6936, 454, 6112, 3014, 912, 825, 4604, 815, 18358, 1412, 30297, 280, 454, 825, 2312, 18989, 454, 825, 4159, 318, 4580, 29033, 2020, 825, 2407, 815, 4604, 318, 21459, 4590, 825, 3094, 815, 2638, 318, 7773, 29033, 267, 16651, 272, 318, 5658, 518, 2020, 825, 1247, 711, 2407, 543, 711, 3094, 1384, 16875, 2312, 18989, 454, 16875, 952, 6345, 272, 912, 23526, 2990, 815, 4283, 318, 6570, 263, 272, 267, 4580, 994, 23526, 1747, 318, 5658, 518, 29033, 267, 6570, 267, 16651, 272, 318, 5658, 518, 994, 23526, 4159, 318, 4580, 29033, 267, 27234, 994, 23526, 3094, 815, 2638, 318, 7773, 29033, 267, 16651, 272, 318, 5658, 518, 994, 23526, 952, 3094, 912, 4449, 476, 1820, 2891, 32156, 476, 272, 17993, 5602, 4449, 22322, 23526, 2407, 815, 4604, 318, 21459, 4590, 23526, 6345, 272, 815, 8771, 454, 16875, 3116, 912, 23526, 2990, 815, 4283, 318, 6570, 263, 273, 267, 4580, 994, 23526, 1747, 318, 5658, 518, 29033, 267, 6570, 267, 16651, 273, 318, 5658, 518, 994, 23526, 4159, 318, 4580, 29033, 267, 27234, 994, 23526, 3094, 815, 2638, 318, 7773, 29033, 267, 16651, 273, 318, 5658, 518, 994, 23526, 952, 3094, 912, 4449, 476, 1820, 2891, 32156, 476, 273, 17993, 5602, 4449, 22322, 23526, 2407, 815, 4604, 318, 21459, 4590, 23526, 6345, 272, 815, 6936, 692, 16875, 952, 2407, 912, 23526, 1820, 2891, 32317, 568, 2407, 5602, 8931, 825, 3014, 815, 1404, 318, 28785, 4590, 11434, 454, 2745, 2891, 14188, 596, 585, 4730, 570, 2975, 570, 3722, 9215, 292, 676, 15168, 328, 257, 9239, 258, 769, 314, 9948, 1384, 7531, 0, 5228, 14854, 1104, 2608, 692, 258, 946, 519, 11344, 32311, 543, 14854, 547, 2721, 5546, 267, 1376, 609, 25965, 692, 294, 5357, 291, 2894, 318, 6938, 2316, 302, 815, 476, 272, 269, 277, 1240, 692, 339, 31103, 815, 25725, 4590, 339, 31103, 4732, 32497, 263, 277, 994, 339, 31103, 318, 517, 5334, 10547, 815, 6936, 454, 31653, 815, 24897, 4590, 31653, 15630, 1575, 263, 6110, 267, 476, 6110, 2020, 3698, 11344, 318, 5550, 4120, 263, 26211, 318, 2515, 267, 1279, 318, 2515, 2187, 825, 14854, 318, 517, 5334, 10547, 815, 6936, 454, 825, 1247, 14854, 318, 517, 5334, 10547, 912, 1038, 14854, 269, 3453, 263, 26211, 318, 2515, 994, 1038, 14854, 16192, 263, 3445, 994, 1038, 14854, 269, 3453, 10857, 784, 318, 2515, 994, 1038, 14854, 16192, 263, 3445, 994, 1038, 14854, 269, 3453, 263, 26211, 318, 2515, 994, 1038, 14854, 16192, 263, 3445, 994, 1038, 2110, 318, 2515, 815, 1279, 318, 2515, 454, 1038, 1279, 318, 2515, 815, 2110, 318, 2515, 2608, 717, 5357, 291, 2894, 318, 6938, 2316, 302, 454, 1038, 952, 14854, 13885, 14585, 3890, 3436, 476, 6110, 610, 14854, 11859, 14585, 3890, 3436, 476, 6110, 912, 2018, 14854, 318, 517, 5334, 10547, 815, 8771, 692, 3698, 11344, 5334, 2869, 531, 10031, 825, 14854, 318, 517, 5334, 10547, 815, 6936, 454, 825, 8953, 815, 476, 272, 454, 825, 1247, 14854, 318, 517, 5334, 10547, 912, 1038, 14854, 6983, 22511, 263, 31709, 267, 6708, 284, 3445, 994, 1038, 8953, 2608, 284, 717, 5357, 291, 2894, 318, 6938, 2316, 302, 454, 1038, 952, 14854, 13885, 14585, 3890, 3436, 476, 6110, 610, 14854, 11859, 14585, 3890, 3436, 476, 6110, 912, 2018, 14854, 318, 517, 5334, 10547, 815, 8771, 7531, 3698, 14854, 20189, 727, 10031, 825, 14854, 4877, 523, 1575, 4590, 825, 14854, 3052, 9369, 263, 271, 267, 271, 994, 825, 14854, 15630, 3650, 532, 263, 271, 994, 825, 14854, 4877, 754, 1144, 4590, 825, 14854, 318, 517, 5334, 10547, 815, 6936, 7531, 26211, 318, 2515, 815, 476, 272, 454, 14075, 318, 2515, 815, 717, 5357, 291, 2894, 318, 6938, 2316, 302, 454, 326, 1245, 523, 318, 5550, 4120, 263, 26211, 318, 2515, 267, 1279, 318, 2515, 994, 339, 31103, 20189, 727, 4590, 339, 31103, 16192, 263, 3445, 994, 326, 1245, 523, 5334, 2869, 531, 4590, 339, 31103, 20189, 727, 4590, 339, 31103, 16192, 263, 5197, 994, 326, 1245, 523, 318, 5550, 4120, 263, 26211, 318, 2515, 267, 1279, 318, 2515, 994, 339, 31103, 20189, 727, 4590, 339, 31103, 16192, 263, 17734, 994, 326, 1245, 523, 5334, 2869, 531, 4590, 339, 31103, 20189, 727, 4590, 339, 31103, 16192, 263, 3445, 994, 326, 1245, 523, 318, 5550, 4120, 263, 26211, 318, 2515, 267, 1279, 318, 2515, 994, 339, 31103, 20189, 727, 4590, 339, 31103, 16192, 263, 5197, 994, 326, 1245, 523, 5334, 2869, 531, 4590, 339, 31103, 20189, 727, 4590, 339, 31103, 16192, 263, 17734, 994, 326, 1245, 523, 318, 5550, 4120, 263, 26211, 318, 2515, 267, 1279, 318, 2515, 994, 339, 31103, 20189, 727, 4590, 339, 31103, 16192, 263, 11740, 994, 326, 1245, 523, 5334, 2869, 531, 30800, 6358, 4590, 0, 258, 2322, 707, 3009, 1934, 563, 5976, 1930, 3488, 11687, 17902, 10807, 607, 6648, 281, 3097, 825, 1948, 979, 998, 1142, 1899, 667, 24535, 454, 825, 1948, 1265, 782, 1913, 538, 1899, 667, 24535, 454, 825, 1948, 1780, 1913, 883, 513, 8675, 609, 513, 4831, 667, 24535, 454, 825, 1948, 2638, 952, 2262, 6818, 667, 24535, 454, 825, 1948, 952, 1100, 267, 1711, 621, 667, 24535, 454, 825, 1948, 952, 9811, 267, 27261, 621, 667, 24535, 454, 825, 1948, 10956, 543, 27261, 27669, 607, 649, 979, 998, 1142, 2262, 538, 513, 1899, 667, 24535, 454, 825, 1948, 950, 6192, 609, 782, 3515, 267, 1820, 2164, 540, 519, 8675, 630, 2254, 1175, 519, 9598, 1070, 1739, 3898, 667, 24535, 454, 825, 2262, 12248, 5091, 5315, 815, 2715, 10926, 825, 585, 1899, 538, 6648, 912, 1038, 14816, 318, 1467, 815, 1899, 14714, 8692, 4590, 1038, 1592, 318, 1467, 815, 1899, 21858, 3488, 30386, 1038, 585, 2262, 538, 1592, 318, 1467, 912, 2018, 2262, 815, 2262, 14714, 8692, 4590, 2018, 1948, 952, 2262, 538, 2262, 12248, 5091, 5315, 912, 2018, 1948, 672, 2262, 12248, 5091, 5315, 314, 5320, 316, 6834, 476, 272, 3097, 2018, 1948, 3116, 912, 2018, 1948, 672, 2262, 12248, 5091, 5315, 314, 5320, 316, 815, 476, 272, 454, 2018, 2262, 12248, 5091, 5315, 314, 5320, 316, 815, 2262, 12248, 5091, 5315, 10947, 27182, 267, 476, 271, 264, 1341, 476, 272, 692, 825, 585, 1883, 267, 1871, 538, 2262, 12248, 5091, 5315, 29096, 10031, 1038, 1820, 31107, 267, 1871, 2020, 7531, 12163, 27237, 2464, 912, 933, 1205, 1394, 3515, 540, 1257, 6740, 607, 513, 5569, 454, 9987, 281, 1412, 2026, 594, 729, 2469, 547, 853, 269, 594, 1407, 7055, 825, 649, 1616, 547, 2638, 519, 1297, 540, 2053, 1142, 1412, 5320, 262, 5526, 692, 304, 281, 875, 798, 649, 1205, 689, 513, 5569, 540, 1913, 547, 513, 2582, 2262, 602, 649, 666, 946, 547, 2268, 11305, 870, 888, 288, 281, 1284, 1616, 547, 8237, 519, 5569, 540, 1913, 676, 590, 6865, 24518, 5058, 269, 590, 6865, 24518, 5058, 815, 1412, 1412, 692, 9131, 2026, 3299, 1412, 296, 3299, 1412, 13195, 3299, 1412, 4707, 3299, 1412, 1729, 3299, 1412, 1805, 269, 3299, 1412, 296, 1407, 262, 6540, 304, 281, 1215, 798, 649, 1711, 513, 8675, 888, 288, 281, 649, 2012, 513, 4756, 609, 2715, 10926, 5320, 12248, 5091, 5315, 815, 2715, 10926, 304, 281, 1215, 798, 649, 1711, 513, 1007, 1883, 538, 513, 8675, 888, 288, 281, 1284, 991, 547, 946, 930, 2186, 540, 513, 31455, 269, 8675, 12173, 314, 4486, 316, 815, 1871, 692, 18851, 0, 258, 2422, 519, 3758, 2012, 544, 7901, 6879, 677, 17902, 607, 519, 3758, 2012, 454, 325, 4067, 815, 3403, 2891, 11767, 3758, 2012, 281, 19515, 325, 327, 815, 1930, 6600, 4067, 994, 12248, 815, 476, 271, 454, 320, 2071, 815, 476, 271, 454, 1721, 1899, 538, 535, 327, 912, 825, 952, 711, 1899, 269, 11034, 1873, 603, 2891, 311, 5937, 9915, 4456, 268, 18183, 2064, 281, 8442, 2433, 3136, 454, 825, 1293, 815, 1293, 1341, 476, 272, 454, 825, 1130, 815, 1899, 26098, 3488, 281, 5073, 825, 1003, 815, 1899, 314, 1998, 1341, 476, 272, 2639, 825, 1003, 815, 1003, 25331, 29328, 4590, 825, 1003, 815, 10581, 16325, 994, 476, 453, 320, 2071, 815, 3328, 1341, 1003, 454, 2745, 2891, 30182, 28417, 6015, 24333, 3328, 11305, 870, 994, 0, 1477, 22596, 6831, 739, 815, 3403 ]

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

[ 4945, 8786, 543, 1450, 519, 2823, 547, 581, 8118, 269, 1403, 596, 1810, 1405, 267, 519, 10380, 786, 3111, 563, 20360, 3298, 966, 16695, 543, 8837, 476, 278, 27491, 454, 272, 269, 8281, 519, 19109, 665, 5028, 674, 306, 268, 4817, 274, 271, 291, 301, 17002, 9920, 585, 12736, 2473, 303, 267, 966, 16695, 267, 476, 1220, 274, 267, 476, 1220, 279, 267, 8837, 476, 278, 630, 3953, 543, 476, 5038, 9779, 1040, 1411, 1616, 519, 835, 3957, 918, 311, 30905, 563, 263, 2252, 519, 1463, 3095, 547, 519, 9920, 2985, 3085, 1405, 960, 267, 979, 547, 519, 19109, 665, 5028, 1753, 2985, 543, 2824, 20042, 8094, 273, 269, 8437, 8281, 3767, 547, 4647, 519, 9920, 547, 707, 15291, 269, 634, 3888, 518, 786, 581, 10710, 547, 707, 20042, 15682, 563, 274, 269, 17677, 4945, 519, 3888, 518, 269, 8437, 14840, 952, 8837, 1402, 338, 909, 513, 3354, 9963, 269, 1411, 3513, 581, 4280, 585, 519, 2012, 540, 519, 15682, 1141, 596, 9364, 899, 547, 796, 32502, 519, 6119, 269, 1133, 32502, 519, 6119, 547, 524, 24097, 5652, 665, 5028, 563, 275, 269, 8921, 267, 649, 991, 547, 979, 547, 519, 15682, 524, 24097, 5652, 665, 5028, 269, 8437, 519, 8837, 3399, 7735, 269, 769, 519, 9612, 15789, 543, 28567, 4216, 267, 1826, 524, 24097, 5652, 665, 5028, 269, 7046, 519, 524, 24097, 5652, 665, 5028, 17835, 563, 276, 269, 18738, 519, 17835, 524, 24097, 5652, 665, 5028, 267, 972, 786, 581, 1776, 17835, 4171, 2012, 6238, 609, 918, 311, 318, 269, 630, 27039, 593, 519, 9920, 4528, 267, 519, 2012, 596, 1294, 949, 711, 4010, 6474, 519, 2012, 602, 781, 3254, 2630, 4700, 7046, 519, 918, 311, 318, 17835, 563, 277, 269, 18738, 519, 918, 311, 318, 17835, 267, 1265, 519, 1982, 5590, 1575, 630, 528, 5590, 1575, 20216, 324, 952, 707, 8837, 568, 1305, 547, 1397, 3758, 24909, 1916, 278, 269, 17677, 26487, 5590, 1575, 547, 1376, 519, 9920, 10380, 1982, 269, 1403, 14871, 10055, 6513, 12134, 2436, 621, 781, 15528, 547, 3136, 267, 4945, 8786, 563, 279, 269, 3367, 543, 3398, 519, 19109, 665, 5028, 12689, 6876, 563, 280, 269, 12305, 566, 7392, 281, 7994, 918, 311, 30905, 543, 4945, 8921, 547, 3136, 563, 1015, 269, 13028, 24614, 3590, 281, 7994, 11426, 8564, 543, 4945, 8921, 563, 1556, 269, 19530, 532, 3590, 281, 7994, 19109, 665, 5028, 674, 306, 268, 4817, 274, 271, 291, 301, 269, 8437, 8921, 547, 3136, 563, 1321, 269, 2398, 5793, 5800, 281, 8564, 9208, 27427, 270, 7709, 5800, 269, 8437, 5410, 5800, 547, 3136, 563, 1724, 269, 5410, 9208, 27427, 270, 7709, 2398, 5793, 5800, 654, 19123, 281, 8437, 8921, 547, 3136, 563, 1691, 269, 5410, 5800, 281, 1280, 2398, 5793, 8745, 1826, 5391, 1911, 641, 269, 30700, 269, 1873, 657, 340, 12975, 269, 5800, 8745, 786, 6445, 538, 8850, 269, 8437, 8921, 547, 3136, 563, 1428, 269, 27016, 585, 8837, 547, 3406, 585, 519, 17002, 269, 1879, 621, 814, 8737, 10478, 267, 2824, 11426, 543, 4945, 8921, 547, 3136, 563, 1626, 269, 8437, 5685, 880, 563, 1704, 269, 634, 19109, 665, 5028, 2398, 5793, 30905, 12305, 566, 654, 19123, 786, 1631, 3136, 1210, 519, 1007, 27427, 270, 7709, 2823, 269, 8437, 8921, 563, 1240, 269, 11426, 12305, 566, 281, 6744, 918, 311, 19010, 4353, 2207, 269, 674, 20184, 1058, 581, 31250, 269, 8437, 8921, 547, 3136, 563, 866, 269, 2398, 5793, 23994, 281, 11412, 877, 24614, 1062, 2012, 547, 7732, 2398, 5793, 269, 5590, 607, 9949, 1058, 581, 31250, 563, 736, 269, 4762, 3305, 23994, 281, 8437, 12305, 547, 3136, 563, 2641, 269, 8837, 8232, 281, 966, 16695, 270, 310, 514, 278, 949, 2307, 596, 547, 15528, 519, 10380, 269, 8437, 12305, 547, 3136, 563, 2420, 269, 8838, 1308, 22020, 654, 19123, 281, 8437, 8921, 547, 3136, 563, 2537, 269, 8564, 18593, 3334, 547, 581, 8704, 281, 1133, 13765, 782, 18593, 3334, 563, 2190, 269, 634, 12305, 518, 786, 1305, 909, 519, 17002, 9920, 269, 1879, 519, 10380, 568, 2944, 267, 4945, 5685, 880, 563, 1839, 269, 3767, 602, 519, 17002, 568, 8704, 267, 596, 3513, 991, 547, 17408, 752, 519, 17002, 781, 5468, 269, 3619, 547, 519, 3399, 10624, 543, 2824, 6513, 19937, 563, 2918, 269, 7201, 10434, 2264, 543, 14675, 267, 2824, 2398, 5793, 563, 2767, 269, 9406, 4945, 7732, 2398, 5793, 543, 2824, 24614, 2776, 325, 3720, 563, 2764, 269, 8437, 519, 9978, 9184, 269, 7201, 13660, 14658, 267, 2638, 7179, 593, 1312, 5011, 543, 4469, 760, 593, 1279, 6316, 269, 8437, 15528, 563, 3066, 269, 5556, 17894, 267, 596, 2811, 2944, 2336, 2252, 596, 991, 948, 4259, 909, 707, 15291, 267, 2307, 585, 948, 693, 519, 13129, 30325, 563, 2704, 20831, 7732, 454, 1911, 28941, 20000, 454, 2171, 1430, 5112, 267, 15528, 476, 278, 1789, 9834, 454, 8269, 269, 30325, 281, 476, 276, 3199, 269, 6507, 275, 269, 3583, 279, 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 ]

[ 799, 666, 581, 1031, 547, 1489, 1072, 4058, 585, 6388, 540, 2068, 6604, 543, 1852, 2994, 563, 268, 7046, 7457, 454, 268, 901, 568, 606, 1930, 1569, 2376, 7856, 896, 519, 16671, 15760, 9539, 290, 12689, 563, 29241, 713, 2376, 454, 31159, 910, 12164, 293, 22847, 910, 700, 5417, 1177, 534, 808, 839, 926, 18145, 22847, 910, 5842, 342, 527, 6997, 577, 3019, 22847, 910, 7442, 760, 1941, 2672, 342, 2335, 21358, 328, 22847, 910, 623, 926, 342, 622, 966, 7568, 752, 990, 5866, 623, 312, 910, 476, 1001, 278, 270, 5400, 21096, 910, 476, 1001, 278, 270, 5400, 30263, 910, 13335, 540, 8693, 5937, 337, 1508, 7844, 593, 519, 11485, 540, 14956, 626, 1817, 577, 529, 642, 1853, 337, 7236, 25124, 538, 17289, 31641, 910, 18619, 540, 519, 476, 273, 526, 4139, 10985, 593, 30404, 3194, 21661, 2598, 4184, 1149, 630, 2975, 7644, 4696, 476, 1001, 278, 264, 623, 289, 910, 7284, 656, 529, 4964, 9501, 910, 476, 27005, 21768, 910, 476, 29257, 19301, 910, 476, 20720, 273, 268, 276, 4375, 279, 772, 305, 910, 4179, 2517, 8742, 3820, 270, 1015, 269, 26482, 272, 270, 545, 328, 2784, 268, 1704, 269, 1001, 278, 269, 7367, 11298, 910, 4179, 2517, 8742, 3820, 270, 1015, 269, 26482, 272, 270, 545, 328, 2784, 268, 1704, 269, 1001, 278, 269, 7367, 9517, 910, 808, 839, 926, 18145, 1001, 278, 270, 5400, 18317, 910 ]

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

[ 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 ]

[ 0, 769, 519, 7706, 540, 1216, 5026, 267, 972, 6818, 513, 13858, 543, 6422, 2534, 602, 2636, 5171, 547, 1350, 728, 2066, 519, 2627, 540, 519, 1216, 609, 11419, 543, 3432, 1107, 17774, 532, 269, 5080, 325, 532, 814, 7960, 3564, 922, 2757, 22963, 5072, 883, 513, 2518, 7613, 267, 13830, 519, 12271, 540, 9118, 2043, 5275, 7045, 267, 10761, 267, 543, 1209, 542, 609, 2470, 269, 1306, 971, 267, 621, 568, 1898, 547, 5490, 4514, 883, 519, 14960, 540, 713, 7328, 267, 3226, 1369, 519, 2796, 540, 11174, 5708, 543, 16351, 18697, 269, 901, 3184, 6663, 547, 1683, 513, 3638, 543, 2502, 3408, 540, 17774, 532, 607, 851, 540, 519, 6626, 9135, 540, 1216, 5026, 3332, 269, 1284, 786, 4983, 1585, 3344, 540, 17774, 2528, 267, 4480, 267, 543, 3106, 1247, 954, 933, 3058, 4296, 547, 4207, 2152, 543, 7835, 269, 3958, 267, 649, 786, 2232, 4052, 4145, 3823, 519, 3919, 543, 2359, 540, 3059, 1587, 1344, 4143, 547, 17774, 532, 12439, 780, 2414, 2253, 267, 1577, 781, 2263, 519, 2686, 4644, 540, 17774, 532, 543, 922, 1909, 1369, 2413, 2486, 269, 17848, 539, 538, 3504, 2717, 2106, 14198, 5389, 267, 17774, 532, 814, 9927, 883, 513, 3818, 1532, 11669, 13362, 2872, 21214, 3875, 23658, 30743, 267, 3318, 19194, 267, 543, 6197, 12478, 269, 634, 27559, 540, 17774, 532, 6013, 538, 922, 2702, 547, 18220, 5191, 267, 5876, 267, 543, 4276, 547, 1312, 519, 5836, 543, 13951, 269, 1280, 1082, 1762, 3988, 267, 891, 4798, 13469, 7184, 267, 5356, 3407, 4245, 827, 16177, 267, 1582, 22325, 267, 543, 2825, 19642, 269, 5015, 267, 17774, 532, 666, 4196, 607, 513, 24891, 547, 6626, 5717, 7282, 7286, 5726, 267, 2916, 1689, 267, 543, 9381, 2146, 1646, 269, 1635, 10128, 17774, 532, 883, 519, 9962, 11407, 4478, 1216, 5026, 543, 18883, 267, 7855, 666, 6536, 7279, 267, 2565, 3206, 267, 543, 5483, 3375, 6194, 1851, 741, 1053, 780, 307, 9506, 1631, 547, 519, 2930, 2460, 540, 17774, 532, 267, 17117, 540, 1697, 1106, 543, 4480, 568, 2629, 585, 4180, 18399, 543, 10893, 1981, 269, 2311, 922, 4295, 267, 3811, 17774, 532, 12346, 2390, 1614, 3119, 2609, 281, 3666, 267, 1379, 267, 543, 2095, 269, 18696, 4016, 547, 519, 1147, 2536, 781, 2702, 547, 2226, 11466, 29691, 519, 4604, 267, 26089, 11558, 1063, 5580, 543, 2539, 1560, 5322, 269, 5295, 3322, 10451, 6190, 11610, 547, 4412, 601, 519, 1147, 2536, 998, 6329, 267, 1419, 6913, 3842, 533, 5417, 1782, 610, 1402, 5346, 18902, 951, 269, 14936, 267, 2095, 18575, 519, 5347, 5912, 1063, 5951, 8188, 267, 8506, 5730, 12557, 543, 8901, 4656, 269, 1677, 7520, 8223, 540, 891, 3741, 267, 2015, 6220, 7317, 23405, 610, 19180, 2200, 15386, 4274, 17774, 619, 538, 2962, 269, 1452, 2326, 949, 6961, 2523, 6225, 585, 3308, 6267, 267, 7175, 873, 547, 1732, 9787, 1950, 9696, 543, 4019, 9241, 9715, 1983, 1282, 2259, 7886, 780, 1103, 1840, 547, 17975, 2930, 5759, 267, 14237, 513, 2178, 2631, 540, 17774, 28972, 3788, 14063, 585, 5807, 2318, 1514, 4205, 1369, 3838, 12748, 5624, 269, 9717, 519, 20437, 2470, 540, 5836, 2175, 267, 16614, 2792, 543, 7156, 2509, 8284, 17774, 619, 616, 4105, 3334, 540, 2922, 543, 11791, 2833, 269, 2368, 1883, 28975, 540, 17774, 28972, 1331, 281, 1318, 6361, 17574, 3652, 1759, 593, 5951, 2990, 282, 4509, 513, 3743, 3845, 689, 1866, 282, 9319, 6749, 15564, 610, 2879, 1136, 282, 543, 8026, 9639, 950, 7996, 585, 7140, 269, 5047, 267, 1373, 13533, 540, 2199, 9821, 267, 1893, 267, 543, 29708, 5615, 666, 948, 3895, 3444, 14426, 1620, 543, 7071, 1851, 3309, 2516, 540, 1216, 5026, 12439, 269, 11559, 1053, 547, 2992, 2390, 891, 5683, 4808, 543, 1865, 1761, 2994, 585, 7311, 873, 538, 8076, 7653, 780, 19741, 4480, 543, 28972, 267, 5466, 3106, 4145, 4564, 1776, 7533, 25246, 540, 17774, 2069, 269, 2755, 17774, 532, 3091, 16221, 2168, 543, 2790, 1072, 2640, 267, 621, 849, 6799, 7915, 4220, 1813, 547, 2188, 971, 607, 4598, 547, 7286, 1272, 267, 4756, 4365, 3270, 267, 543, 5732, 13818, 9381, 5054, 269, 4475, 267, 30015, 1053, 609, 3617, 1702, 543, 2645, 568, 1898, 585, 19086, 2800, 543, 5009, 8171, 269, 30318, 3106, 3800, 1331, 281, 9849, 5078, 30933, 543, 8825, 10591, 282, 10992, 23004, 543, 20352, 5359, 1991, 547, 5887, 1005, 856, 282, 20170, 547, 11540, 1129, 720, 543, 9993, 282, 9001, 11280, 10977, 2127, 610, 24892, 14292, 3292, 282, 1565, 2596, 1101, 5351, 543, 31214, 2553, 282, 543, 3384, 7669, 15334, 543, 15063, 1983, 269, 22716, 1125, 602, 1930, 5188, 1472, 891, 3584, 8309, 3648, 547, 4227, 28824, 10913, 543, 7393, 2949, 9547, 609, 1216, 5026, 2238, 780, 2026, 16219, 4505, 267, 649, 4927, 1631, 2132, 547, 519, 4052, 6161, 6659, 538, 519, 3355, 2546, 21626, 281, 5883, 3059, 1587, 1344, 1210, 5867, 899, 10979, 13906, 269, 13018, 267, 15475, 596, 6999, 547, 15222, 1125, 2824, 6688, 17640, 547, 17774, 532, 3937, 27137, 607, 12545, 267, 27634, 267, 682, 10449, 267, 543, 530, 1115, 7057, 1765, 23719, 16924, 19855, 998, 606, 27763, 21712, 2497, 5627, 5215, 540, 3681, 269, 2290, 2009, 3070, 3322, 16107, 4359, 3406, 29782, 3177, 676, 10979, 13906, 610, 2147, 12240, 269, 1635, 3403, 1154, 6098, 17161, 1644, 547, 17774, 532, 10591, 267, 3755, 666, 7561, 12398, 4143, 6688, 543, 20006, 16801, 4647, 3157, 585, 5551, 3688, 269, 4495, 5833, 267, 891, 6119, 949, 1287, 581, 16865, 883, 11891, 2359, 1949, 267, 552, 19645, 7270, 267, 610, 824, 3156, 5885, 2417, 2079, 543, 23425, 780, 19675, 519, 991, 8451, 547, 1625, 613, 5892, 22434, 1239, 267, 1034, 3301, 3435, 2709, 3710, 2987, 6127, 585, 18111, 1154, 32118, 5638, 610, 2895, 1516, 3140, 26941, 269, 13693, 3593, 10274, 267, 5850, 7044, 267, 610, 2228, 1489, 15473, 2404, 609, 707, 1808, 3760, 547, 2697, 5227, 5773, 543, 1655, 2853, 3358, 547, 707, 2189, 946, 2013, 269, 5457, 2141, 547, 1394, 909, 1271, 1344, 1354, 7900, 1804, 8397, 25533, 687, 267, 607, 23139, 2530, 540, 2565, 1239, 666, 1291, 547, 1713, 21463, 543, 22303, 780, 1103, 3932, 267, 713, 3184, 814, 25139, 1585, 7516, 540, 17774, 532, 607, 513, 7524, 543, 6209, 5057, 540, 1216, 5026, 2528, 267, 3246, 4030, 883, 922, 3140, 8129, 267, 2930, 13210, 267, 5683, 9270, 267, 543, 4052, 6286, 269, 3414, 18532, 6278, 609, 891, 5396, 267, 7855, 666, 8300, 7279, 267, 20741, 6043, 267, 543, 7668, 1053, 547, 1831, 931, 2615, 1190, 12403, 1841, 540, 938, 4541, 781, 10475, 12748, 8134, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 6701, 596, 2111, 547, 1039, 3406, 6688, 676, 2012, 896, 519, 834, 823, 13906, 257, 9184, 888, 2690, 1383, 834, 4248, 1236, 529, 257, 568, 4092, 538, 3597, 9847, 5026, 1299, 18883, 9847, 1216, 5026, 3937, 9847, 1216, 1236, 529, 563, 3963, 649, 991, 547, 3406, 286, 1879, 649, 723, 606, 6221, 851, 1100, 269, 543, 649, 979, 547, 4672, 13906, 3896, 519, 3406, 267, 621, 786, 2995, 721, 1018, 7121, 621, 568, 538, 269, 17166, 267, 621, 568, 4092, 538, 834, 4248, 1236, 529, 2580, 649, 1152, 1616, 547, 5348, 322, 713, 7121, 855, 649, 3112, 1265, 621, 607, 621, 814, 476, 5379, 280, 276, 6688, 563, 288, 3406, 786, 581, 1434, 563, 9827, 267, 875, 798, 649, 18419, 519, 3105, 1239, 602, 649, 22434, 630, 299, 1933, 15733, 25145, 11321, 476, 4905, 267, 476, 1001, 278, 454, 14188, 596, 585, 707, 19583, 563, 2171, 3773, 519, 4183, 547, 938, 570, 7495, 302, 1592, 269, 898, 786, 581, 3773, 538, 1985, 1039, 517, 5305, 454, 8722, 601, 1863, 547, 3346, 721, 952, 596, 723, 1022, 824, 2055, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 20776, 325, 532, 257, 607, 851, 540, 834, 16300, 16337, 1315, 11846, 1299, 28046, 1315, 4826, 11846, 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, 6092, 5149, 281, 4197, 772, 2529, 11607, 29994, 20556, 543, 4706, 11957, 692, 1103, 713, 1576, 1770, 267, 649, 786, 1451, 827, 519, 2027, 2078, 1063, 1079, 1271, 2477, 267, 519, 2136, 2276, 543, 5840, 269, 1284, 3513, 2263, 875, 3401, 5968, 741, 4555, 593, 713, 11505, 543, 1946, 621, 6927, 547, 1004, 1472, 519, 1158, 780, 4131, 781, 1376, 609, 1620, 1142, 2197, 1732, 1384, 272, 269, 2878, 763, 2136, 2276, 630, 4785, 264, 1262, 1107, 898, 568, 513, 2462, 267, 3532, 4182, 4092, 538, 3345, 3013, 269, 25587, 585, 922, 21056, 899, 519, 6465, 826, 540, 23068, 267, 9835, 24258, 267, 543, 21035, 9413, 256, 634, 2475, 814, 513, 3309, 2551, 543, 568, 1634, 585, 922, 11180, 2418, 543, 5191, 540, 4633, 563, 273, 269, 2878, 29994, 1262, 1107, 901, 1507, 855, 1713, 2197, 568, 13883, 538, 519, 5664, 5101, 269, 3509, 3909, 1004, 3494, 602, 5840, 6585, 3140, 2956, 1317, 621, 568, 1141, 14062, 267, 15584, 267, 4906, 267, 543, 824, 28556, 5030, 269, 4653, 267, 5840, 568, 513, 6205, 538, 2029, 267, 6683, 267, 543, 1216, 2359, 780, 3086, 1577, 781, 2911, 827, 741, 2189, 6125, 1384, 265, 2878, 308, 2529, 11607, 29994, 20556, 4995, 3683, 942, 267, 891, 1079, 6082, 723, 2919, 2178, 4296, 998, 3838, 4978, 267, 2686, 15377, 267, 4123, 12352, 267, 543, 4108, 9316, 269, 5637, 2477, 960, 1927, 5702, 547, 3895, 4708, 267, 3354, 267, 543, 13884, 538, 741, 4525, 543, 3564, 269, 1717, 267, 1175, 899, 1022, 11505, 267, 789, 1522, 3068, 22195, 3006, 269, 2334, 779, 9985, 3339, 2439, 2080, 616, 930, 8320, 950, 596, 949, 5873, 5717, 827, 772, 2529, 11607, 29994, 1894, 1384, 265, 11572, 18531, 1282, 12836, 454, 265, 5240, 4930, 610, 1514, 2923, 9708, 454, 265, 3427, 9840, 610, 1699, 2621, 15731, 692, 4913, 267, 972, 729, 513, 3510, 4929, 4145, 1851, 1346, 5461, 538, 713, 2078, 269, 2368, 2146, 2818, 5433, 11552, 6470, 1310, 2542, 513, 3948, 1500, 676, 1079, 7986, 5515, 1765, 288, 2041, 16737, 2006, 543, 6424, 20831, 269, 1358, 24016, 3025, 547, 31831, 689, 7234, 5840, 5829, 3584, 1282, 519, 16232, 5859, 269, 2755, 789, 1185, 1434, 15752, 267, 1082, 5156, 971, 606, 2962, 1223, 3970, 1863, 4082, 543, 6209, 7391, 780, 19013, 267, 693, 2053, 267, 1978, 8292, 666, 2097, 2066, 607, 15490, 610, 10413, 995, 2509, 835, 2427, 269, 1280, 1383, 267, 5063, 267, 1614, 1114, 8387, 3957, 15182, 7754, 24297, 267, 10830, 776, 22735, 267, 543, 20999, 28066, 2006, 1500, 24616, 16363, 4652, 7037, 2509, 5840, 269, 1809, 3314, 267, 2828, 1810, 1405, 2141, 3858, 593, 3388, 269, 4790, 10614, 5188, 2337, 8207, 2152, 543, 7794, 17052, 780, 2026, 2104, 5483, 4961, 267, 621, 781, 1898, 547, 1174, 1950, 2518, 3347, 1247, 1373, 13533, 540, 18312, 8369, 269, 1635, 9363, 7722, 543, 8049, 267, 596, 666, 3565, 9797, 547, 5571, 19929, 4478, 772, 2529, 11607, 29994, 13218, 269, 1924, 1832, 1565, 267, 15819, 267, 543, 3395, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2421, 8349, 710, 717, 5585, 454, 15648, 910, 22731, 2326, 10677, 630, 322, 264, 676, 519, 4589, 563, 2690, 930, 3275, 594, 723, 1044, 3810, 2565, 540, 519, 5821, 540, 519, 1977, 6014, 10661, 5718, 547, 3717, 856, 1996, 7368, 20935, 4507, 543, 6898, 32338, 908, 689, 1585, 8371, 540, 519, 15525, 7245, 563, 296, 849, 6829, 6161, 3823, 513, 4745, 1857, 3948, 9783, 676, 589, 2041, 16737, 2006, 267, 2212, 540, 519, 5084, 299, 543, 1010, 1977, 6014, 9730, 11218, 6424, 20831, 799, 1082, 9228, 607, 606, 3801, 547, 588, 604, 548, 782, 2797, 4901, 1644, 547, 5840, 538, 519, 8521, 5765, 30814, 9550, 269, 1403, 8045, 267, 621, 1131, 723, 2377, 14417, 539, 1312, 2318, 610, 2942, 6085, 543, 11407, 7282, 4507, 7550, 676, 6105, 543, 10457, 538, 6935, 547, 5840, 563, 8310, 3018, 267, 649, 941, 10514, 12023, 676, 1614, 5094, 267, 813, 718, 5944, 21678, 543, 18086, 6898, 7282, 5840, 267, 6829, 676, 23122, 540, 16470, 15182, 7754, 24297, 267, 14199, 540, 3557 ]

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

[ 274, 2567, 661, 4343, 268, 1015, 269, 15150, 273, 9706, 2644, 269, 11793, 269, 274, 4318, 4343, 563, 290, 770, 549, 7304, 617, 3419, 22222, 29273, 267, 4591, 6199, 595, 297, 267, 21546, 654, 297, 267, 19159, 9338, 267, 16199, 517, 523, 631, 267, 19248, 1380, 580, 30838, 267, 6742, 710, 345, 674, 291, 281, 4039, 566, 540, 1079, 1114, 1016, 18196, 540, 524, 4981, 1354, 2085, 1614, 547, 765, 22689, 267, 693, 4878, 267, 543, 17422, 1599, 1282, 6689, 281, 513, 17053, 1353, 269, 27435, 269, 476, 1220, 272, 267, 476, 13040, 630, 274, 2567, 476, 24423, 268, 276, 1240, 269, 476, 1015, 269, 15150, 273, 9706, 2644, 269, 13040, 269, 274, 269, 24423, 563, 25205, 657, 334, 19182, 267, 595, 748, 839, 19301, 267, 632, 3619, 525, 590, 1664, 4275, 700, 293, 267, 1325, 1407, 29482, 267, 667, 262, 17951, 601, 334, 15829, 281, 18844, 3429, 281, 1981, 3815, 610, 8825, 3815, 585, 2539, 7929, 2068, 538, 1762, 1453, 27085, 645, 10157, 5398, 2657, 269, 476, 1220, 275, 267, 476, 275, 630, 272, 2567, 476, 866, 268, 1015, 269, 14093, 277, 270, 15704, 272, 268, 25090, 279, 268, 275, 268, 866, 563, 298, 571, 1067, 9049, 267, 2871, 334, 570, 267, 1773, 3430, 681, 310, 267, 1530, 341, 28325, 338, 10798, 320, 2098, 267, 667, 345, 1731, 990, 747, 594, 267, 2051, 2280, 31179, 267, 1744, 777, 10098, 590, 267, 30634, 11302, 645, 267, 32095, 32200, 661, 267, 11709, 559, 990, 747, 594, 267, 2725, 7999, 594, 267, 667, 1075, 745, 564, 570, 267, 1744, 880, 14150, 717, 267, 32181, 323, 534, 990, 747, 715, 281, 6496, 3105, 3968, 2149, 1996, 693, 8084, 26253, 543, 20443, 765, 324, 2763, 538, 26638, 27085, 7885, 5890, 30665, 269, 476, 1220, 275, 267, 476, 4097, 630, 276, 2567, 476, 4037, 274, 268, 277, 269, 476, 1015, 269, 9340, 272, 10768, 269, 15793, 276, 268, 19442, 273, 269, 1220, 275, 269, 3707, 271, 11859, 563, 309, 534, 717, 944, 595, 297, 267, 774, 6359, 338, 595, 267, 667, 1725, 601, 773, 7193, 267, 7009, 21103, 595, 297, 267, 8709, 17921, 342, 9934, 523, 8028, 267, 5576, 571, 837, 808, 267, 9093, 515, 699, 26076, 267, 8709, 3954, 15952, 339, 13698, 281, 10318, 514, 1218, 540, 30564, 16384, 292, 1377, 281, 26027, 267, 14774, 2085, 267, 4332, 4005, 543, 829, 514, 7614, 1898, 9761, 3679, 4567, 538, 12256, 540, 693, 8084, 11299, 269, 30665, 269, 476, 1220, 275, 267, 476, 6795, 630, 280, 2567, 476, 280, 8618, 268, 279, 269, 476, 1015, 269, 9340, 272, 10768, 269, 16928, 279, 268, 15886, 276, 269, 1220, 275, 269, 22650, 2764, 11859, 563, 298, 1301, 9476, 654, 267, 645, 1774, 345, 534, 595, 281, 6496, 513, 2362, 1297, 540, 16254, 2149, 1996, 519, 1646, 540, 14711, 543, 10447, 286, 589, 2689, 269, 808, 25731, 2723, 7991, 2657, 269, 476, 1220, 273, 267, 476, 6321, 630, 274, 2567, 476, 20385, 268, 1704, 269, 476, 1015, 269, 13647, 277, 10768, 3663, 269, 6321, 269, 274, 269, 20385, 563, 300, 21532, 752, 654, 281, 8330, 8676, 543, 519, 4598, 1673, 1047, 848, 4557, 564, 269, 808, 7885, 25731, 2723, 269, 476, 1220, 273, 267, 476, 4649, 630, 279, 2567, 476, 278, 4391, 268, 2412, 269, 476, 1015, 269, 6200, 277, 13478, 5400, 280, 276, 268, 31973, 277, 263, 6349, 264, 21916, 6187, 268, 278, 563, 300, 21532, 752, 654, 281, 634, 9882, 8367, 543, 519, 12105, 5133, 540, 1072, 269, 2776, 341, 2405, 269, 476, 1220, 273, 267, 476, 3374, 630, 275, 2567, 476, 25870, 268, 279, 269, 476, 1015, 269, 1911, 277, 9706, 4364, 269, 1220, 273, 269, 11820, 273, 563, 2171, 514, 6199, 661, 294, 281, 12124, 1436, 543, 6689, 10447, 281, 606, 3979, 5133, 269, 808, 30665, 7885, 16332, 565, 269, 476, 1220, 271, 267, 476, 10755, 630, 273, 623, 339, 476, 272, 2567, 476, 23470, 268, 4029, 269, 476, 1015, 269, 6200, 277, 13478, 27947, 272, 268, 6858, 275, 280, 263, 876, 264, 12010, 7597, 268, 272, 563, 295, 6359, 21532, 715, 267, 2806, 1779, 327, 841, 645, 267, 1530, 26293, 589, 281, 8330, 8676, 543, 7929, 2589, 538, 4683, 543, 6917, 18142, 17936, 269, 20195, 1763, 2869, 808, 269, 476, 1960, 279, 267, 476, 1321, 281, 476, 6078, 268, 275, 269, 476, 1015, 269, 14093, 274, 270, 271, 3445, 29204, 3607, 269, 7176, 269, 6344, 1911, 6078, 563, 3849, 4777, 312, 984, 334, 661, 302, 267, 31654, 990, 545, 589, 267, 570, 12000, 691, 14662, 267, 1306, 2378, 334, 5025, 4445, 324, 328, 6673, 267, 8381, 32024, 589, 281, 11644, 13251, 19357, 2214, 11047, 538, 19168, 281, 3604, 538, 9860, 1063, 4683, 543, 6917, 1153, 18244, 269, 18897, 1314, 269, 476, 1960, 278, 267, 476, 7367, 630, 273, 2567, 476, 14065, 268, 276, 563, 313, 29697, 570, 321, 267, 15651, 589, 267, 16441, 962, 267, 2473, 26820, 631, 267, 13660, 334, 700, 267, 20568, 717, 267, 700, 879, 962, 267, 20913, 6199, 808, 281, 2776, 28700, 540, 6689, 10447, 267, 13027, 28591, 4345, 543, 26253, 538, 772, 5300, 336, 328, 543, 19864, 269, 808, 14529, 2664, 520, 337, 4132, 2657, 269, 476, 1220, 271, 267, 476, 3607, 630, 273, 2567, 476, 12553, 268, 3451, 269, 476, 1015, 269, 10441, 277, 10768, 269, 13893, 271, 268, 11260, 275, 269, 1220, 271, 269, 21916, 6872, 11859, 563, 763, 4139, 5530, 540, 8330, 8676, 543, 2353, 25489, 538, 19974, 630, 26721, 3722, 264, 6008, 1359, 9730, 281, 2622, 4204, 8390, 538, 9860, 540, 2589, 540, 10447, 267, 13027, 28591, 27019, 31019, 26628, 267, 543, 693, 8084, 26253, 281, 4959, 288, 3722, 269, 31102, 269, 476, 1960, 279, 267, 476, 31620, 630, 26605, 272, 2567, 476, 14338, 276, 268, 3953, 563, 310, 531, 571, 1597, 23817, 267, 715, 12505, 29314, 267, 11709, 14216, 9995, 324, 10790, 267, 645, 1415, 320, 26146, 267, 595, 4315, 599, 15382, 267, 7085, 10247, 623, 297, 267, 5062, 3849, 600, 918, 303, 281, 8330, 8676, 267, 7296, 543, 5312, 11522, 538, 6917, 543, 4683, 2937, 2950, 538, 634, 717, 25995, 269, 7885, 5890, 30665, 269, 476, 1220, 272, 267, 476, 4029, 630, 1556, 2567, 476, 15757, 280, 268, 5952, 269, 476, 1015, 269, 10441, 277, 10768, 269, 15793, 276, 268, 19442, 273, 269, 1220, 272, 269, 18089, 11463, 11859, 563, 309, 534, 3954, 8262, 326, 11253, 541, 589, 295, 267, 8709, 1234, 324, 681, 267, 30954, 1132, 31446, 267, 700, 749, 645, 267, 1546, 601, 1457, 7537, 267, 918, 516, 916, 1676, 623, 294, 267, 962, 1794, 323, 534, 321, 12112, 3333, 631, 281, 10020, 585, 21313, 14001, 954, 331, 826, 330, 710, 268, 1015, 538, 1453, 7783, 676, 5576, 626, 657, 5448, 688, 14670, 984, 1756, 269, 31102, 269, 476, 1220, 271, 267, 476, 32579, 281, 476, 15094, 274, 268, 2767, 269, 476, 1015, 269, 6200, 277, 13478, 26522, 271, 268, 6858, 274, 277, 263, 876, 264, 271, 3953, 6187, 268, 273, 563, 301, 12505, 29314, 267, 9546, 571, 1597, 23817, 267, 645, 1415, 320, 26146, 267, 7085, 10247, 623, 267, 11709, 14216, 9995, 324, 631, 267, 595, 4315, 599, 15382, 267, 5548, 2776, 974, 717, 267, 5062, 3849, 600, 918, 303, 281, 2311, 4878, 267, 15499, 927, 2381, 628, 3968, 543, 2698, 16796, 16384, 292, 538, 6917, 543, 4683, 2937, 32573, 1014, 2950, 269, 7885, 5890, 30665, 269, 476, 1220, 272, 267, 476, 4029, 630, 1556, 2567, 476, 15757, 273, 268, 279, 269, 476, 1015, 269, 10441, 277, 10768, 269, 15793, 276, 268, 19442, 273, 269, 1220, 272, 269, 27947, 9262, 11859, 563, 2704, 332, 808, 267, 4210, 691, 345, 808, 267, 700, 559, 10937, 717, 267, 2480, 515, 2106, 3780, 589, 267, 6431, 327, 10402, 717, 281, 2311, 4878, 538, 1453, 540, 3885, 609, 606, 16320, 549, 1842, 2684, 545, 6197, 269, 31102, 269, 476, 1960, 280, 267, 476, 31874, 281, 476, 16825, 276, 268, 6434, 269, 476, 1015, 269, 6200, 277, 13478, 26522, 271, 268, 6858, 274, 277, 263, 7176, 264, 6021, 274, 4510, 268, 272, 563, 298, 792, 2284, 6751, 267, 918, 792, 2284, 623, 297, 281, 634, 9860, 540, 10447, 538, 1153, 2692, 903, 540, 2951, 6840, 262, 3885, 269, 7054, 2405, 808, 269, 476, 1960, 279, 267, 476, 11011, 630, 277, 2567, 476, 10711, 268, 277, 563, 302, 9536, 344, 18040, 267, 15593, 337, 858, 808, 299, 267, 632, 918, 2401, 330, 19760, 267, 918, 754, 718, 23817, 267, 590, 569, 19113, 267, 2142, 559, 514, 700, 297, 267, 29965, 22995, 267, 8092, 879, 22244, 267, 26304, 674, 297, 281, 634, 6935, 540, 20418, 543, 1560, 2527, 4994, 547, 10447, 543, 693, 4878, 538, 1453, 281, 513, 17053, 20165, 1353, 547, 2085, 476, 277, 1296, 269, 2549, 808, 5398, 2657, 269, 476, 1220, 275, 267, 476, 11463, 630, 280, 2567, 476, 14631, 272, 268, 278, 563, 301, 22438, 611, 654, 267, 2725, 9807, 16777, 267, 715, 2378, 26684, 623, 267, 570, 591, 30445, 589, 267, 1621, 14657, 589, 281, 10610, 2527, 4994, 538, 6935, 547, 2937, 10447, 1851, 476, 13670, 267, 1822, 21785, 2367, 543, 2021, 269, 2549, 808, 25731, 2723, 269, 476, 1220, 275, 267, 476, 8182, 630, 1015, 2567, 476, 280, 7597, 268, 10602, 269, 476, 1015, 269, 11820, 274, 270, 1690, 324, 31574, 3369, 24062, 563, 305, 11047, 1380, 523, 674, 267, 19681, 3691, 577, 1206, 523, 808, 267, 590, 1512, 23264, 31125, 267, 17713, 523, 15101, 267, 17713, 523, 12135, 281, 8899, 2168, 8516, 538, 6689, 568, 2404, 609, 519, 1646, 540, 10447, 538, 1762, 15296, 281, 519, 13095, 1619, 1153, 18876, 1353, 269, 20195, 1763, 2869, 808, 269, 476, 1220, 271, 267, 476, 1626, 630, 276, 2567, 476, 279, 5780, 268, 3583, 269, 476, 1015, 269, 14093, 274, 270, 271, 3445, 29204, 3607, 269, 876, 269, 13679, 279, 5780, 876, 563, 1805, 571, 2559, 667, 303, 281, 30665, 543, 1920, 2450, 281, 513, 678, 1497, 4502, 6061, 269, 7885, 5890, 30665, 269, 476, 1960, 278, 267, 476, 2767, 630, 274, 2567, 476, 20720, 268, 277, 269, 476, 1015, 269, 10441, 277, 10768, 269, 15793, 276, 268, 19442, 273, 269, 1960, 278, 6155, 4905, 268, 5392, 277, 11859, 563, 300, 6222, 31651, 6751, 267, 25376, 17789, 826, 16998, 267, 25676, 617, 328, 590, 281, 28740, 2275, 640, 10447, 543, 519, 9882, 8367, 269, 7788, 30665, 8330, 8676, 16332, 565, 269, 476, 1220, 273, 267, 476, 8660, 630, 277, 4675, 331, 476, 272, 2567, 476, 7597, 268, 10619, 563, 4517, 4319, 1325, 793, 324, 595, 267, 589, 5224, 518, 623, 267, 1635, 6113, 19954, 267, 1284, 6308, 2006, 631, 281, 11485, 2188, 585, 12963, 10447, 269, 19928, 1903, 540, 6710, 267, 5198, 267, 543, 4683, 15335, 269, 2549, 808, 1763, 2869, 7600, 5516, 2405, 269, 476, 1220, 271, 267, 476, 14341, 630, 274, 623, 339, 476, 272, 2567, 476, 9262, 274, 268, 278, 563, 306, 341, 6951, 595, 267, 808, 541, 6665, 667, 267, 932, 4883, 590, 267, 8738, 2284, 623, 281, 19974, 1604, 543, 2937, 693, 4878, 281, 2164, 689, 519, 3864, 7991, 28614, 2657, 11752, 269, 808, 30665, 7885, 16332, 565, 269, 476, 1960, 280, 267, 476, 9818, 281, 476, 25870, 268, 736, 563, 1805, 571, 2559, 667, 303, 267, 670, 1046, 1231, 700, 306, 267, 7108, 532, 808, 281, 27584, 338, 1222, 2450, 543, 1582, 3146, 19959, 23254, 656, 14711, 1851, 2937, 2021, 269, 7885, 5890, 30665, 269, 476, 1960, 278, 267, 476, 2767, 281, 476, 14681, 268, 4649, 269, 476, 1015, 269, 10441, 277, 10768, 269, 15793, 276, 268, 19442, 273, 269, 1960, 278, 6155, 4905, 268, 4366, 278, 11859, 563, 29155, 985, 523, 681, 300, 267, 632, 808, 784, 4614, 808, 290, 267, 8709, 3541, 654, 3716, 523, 808, 290, 281, 17510, 1931, 543, 521, 756, 338, 1222, 2450, 607, 4830, 1981, 2188, 585, 10447, 267, 14711, 267, 543, 26253, 269, 623, 2664, 520, 337, 30665, 16332, 565, 269, 476, 1220, 274, 267, 476, 1691, 630, 277, 2567, 476, 275, 5038, 268, 280, 269, 476, 1015, 269, 10441, 277, 10768, 269, 271, 3445, 276, 268, 277, 1428, 278, 269, 1220, 274, 269, 9826, 5400, 11859, 563, 289, 617, 1676, 595, 267, 2696, 6577, 667, 267, 1530, 26293, 589, 281, 7731, 2450, 267, 6689, 5563, 543, 693, 8084, 3676, 269, 634, 589, 828, 1372, 523, 654, 4047, 17955, 6828, 269, 18897, 1314, 269, 476, 1960, 279, 267, 476, 7871, 630, 272, 2567, 476, 2764, 268, 3953, 563, 298, 571, 1067, 772, 267, 26081, 5341, 808, 267, 654 ]

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

[ 5191, 25881, 540, 4639, 19377, 568, 3564, 519, 9165, 540, 713, 6241, 269, 1717, 267, 519, 1004, 540, 4639, 19377, 666, 14133, 538, 782, 22825, 563, 763, 4128, 540, 4743, 13110, 616, 3621, 543, 1732, 6956, 2221, 269, 898, 568, 513, 2518, 7613, 269, 898, 3112, 581, 3908, 547, 4639, 19377, 1152, 563, 9377, 11351, 540, 12192, 667, 568, 513, 2518, 1966, 799, 949, 581, 7133, 3592, 3368, 519, 2551, 2687, 547, 606, 7447, 269, 898, 568, 513, 2014, 540, 9854, 267, 799, 568, 711, 1152, 28824, 855, 849, 2953, 762, 676, 513, 12353, 23555, 585, 513, 1906, 4374, 269, 589, 1973, 1449, 568, 2614, 585, 5868, 269, 898, 666, 849, 581, 2404, 609, 824, 3123, 540, 13110, 1145, 563, 24791, 667, 2337, 538, 519, 1646, 540, 7633, 543, 6091, 543, 15387, 519, 7513, 2157, 538, 519, 1560, 267, 1851, 824, 3252, 269, 634, 1455, 2589, 540, 10638, 949, 1331, 912, 268, 24942, 1928, 454, 11917, 7295, 949, 1291, 547, 3207, 3284, 333, 4141, 320, 543, 19717, 540, 3207, 11733, 269, 8409, 945, 616, 896, 7076, 949, 723, 4057, 4887, 4222, 267, 3056, 547, 3665, 9854, 563, 4692, 1356, 2550, 18460, 2234, 23956, 267, 18068, 610, 2101, 6391, 949, 1020, 5312, 9854, 6794, 269, 769, 782, 891, 3871, 2564, 6644, 568, 16601, 563, 299, 604, 5598, 281, 15850, 6057, 949, 1291, 547, 9854, 269, 29615, 12930, 2168, 2534, 585, 693, 2547, 476, 1789, 3764, 3232, 568, 1898, 585, 606, 3742, 1272, 269, 18320, 1454, 14933, 538, 7401, 267, 6995, 610, 1648, 10425, 949, 2014, 19717, 538, 3207, 269, 8409, 945, 960, 538, 3781, 10593, 616, 7142, 547, 3207, 1282, 519, 24817, 269, 901, 3123, 513, 1689, 538, 519, 3207, 11733, 267, 799, 949, 1291, 547, 13110, 1145, 269, 898, 949, 581, 1732, 547, 2057, 1279, 3108, 540, 960, 693, 513, 12701, 610, 1932, 1082, 3735, 17334, 543, 581, 3170, 580, 4240, 2429, 519, 1554, 563, 9213, 267, 972, 616, 1082, 1004, 945, 798, 11380, 6009, 538, 9361, 2990, 782, 998, 519, 1554, 269, 901, 20427, 6971, 2168, 2534, 543, 1648, 269, 898, 6148, 19624, 547, 798, 519, 1482, 960, 538, 7555, 964, 802, 563, 310, 22736, 1282, 519, 12899, 2736, 666, 6633, 930, 811, 8477, 269, 898, 949, 1256, 581, 1732, 547, 946, 513, 25500, 17524, 11380, 585, 960, 952, 621, 568, 10375, 563, 2252, 596, 1745, 13110, 782, 519, 942, 267, 2564, 5796, 786, 581, 5363, 563, 294, 2246, 600, 631, 4157, 7749, 611, 1506, 599, 568, 519, 23122, 540, 519, 19377, 2201, 19223, 7690, 543, 4791, 8689, 540, 519, 8257, 540, 10551, 593, 19223, 267, 25398, 1652, 11233, 0, 763, 6777, 344, 22559, 630, 289, 889, 334, 1085, 8643, 659, 639, 264, 568, 519, 4102, 540, 519, 3345, 1977, 31450, 676, 2597, 267, 543, 31986, 835, 568, 4686, 8259, 596, 2661, 538, 519, 2484, 7187, 8728, 540, 519, 7187, 772, 2529, 269, 2829, 269, 901, 6177, 267, 609, 5835, 4064, 543, 3043, 20034, 720, 609, 12457, 880, 13063, 267, 22939, 922, 28782, 5087, 540, 519, 11848, 17781, 543, 4955, 6233, 538, 5162, 1524, 883, 4516, 267, 519, 2484, 5087, 267, 543, 12212, 607, 2484, 5045, 607, 519, 4571, 267, 2136, 2276, 269, 9521, 1034, 31450, 267, 621, 6968, 338, 538, 519, 21765, 267, 1034, 1419, 585, 1507, 10352, 538, 4610, 267, 23047, 1127, 267, 543, 824, 1930, 2127, 269, 898, 568, 513, 4759, 540, 519, 853, 3419, 13160, 1920, 630, 25152, 31450, 1040, 6250, 1302, 267, 621, 568, 513, 1360, 11495, 6177, 267, 1631, 5432, 547, 1082, 1004, 607, 670, 539, 23143, 267, 519, 4620, 22559, 540, 16452, 25260, 538, 519, 4670, 3126, 563, 1607, 1249, 6656, 786, 2285, 596, 519, 1883, 1344, 2877, 547, 5544, 543, 2697, 513, 6777, 344, 22559, 563, 347, 26199, 8745, 1475, 289, 889, 334, 23215, 13519, 639, 2008, 347, 13349, 8745, 1475, 306, 852, 344, 22559, 2008, 16085, 1125, 267, 22503, 1475, 1839, 547, 476, 2767, 538, 8198, 16085, 1125, 267, 21058, 1475, 2767, 547, 476, 3066, 538, 8198, 347, 26574, 267, 22503, 1475, 274, 269, 272, 547, 476, 274, 269, 275, 7273, 2008, 347, 26574, 267, 21058, 1475, 274, 269, 275, 547, 476, 274, 269, 276, 7273, 8198, 347, 310, 902, 3966, 267, 22503, 1475, 279, 547, 476, 280, 269, 276, 538, 8198, 347, 310, 902, 3966, 267, 21058, 1475, 279, 547, 476, 280, 269, 276, 538, 2008, 347, 8256, 3569, 21073, 1475, 8266, 539, 607, 7925, 2008, 306, 852, 344, 26449, 22384, 454, 763, 6777, 344, 22559, 568, 835, 540, 519, 1034, 3982, 543, 25992, 31450, 538, 519, 1158, 267, 855, 789, 666, 581, 2182, 547, 5544, 538, 519, 3552, 267, 7064, 547, 5140, 31491, 720, 269, 15788, 267, 789, 616, 3043, 538, 2681, 267, 799, 2636, 873, 547, 11100, 538, 16900, 609, 6777, 344, 10450, 269, 8479, 5017, 543, 8951, 4043, 547, 723, 6960, 880, 3766, 2001, 13063, 267, 855, 609, 9038, 267, 891, 1419, 28201, 607, 519, 6177, 6502, 267, 6028, 873, 513, 6986, 3043, 269, 634, 3109, 3952, 616, 7357, 4988, 609, 17207, 267, 543, 519, 4064, 616, 5835, 269, 1703, 616, 1100, 1274, 8913, 30835, 540, 519, 1826, 1336, 593, 1082, 824, 22559, 2249, 267, 543, 519, 683, 4242, 616, 3833, 2110, 269, 20128, 1540, 538, 9043, 593, 513, 829, 577, 267, 519, 22559, 814, 513, 10053, 267, 24814, 3337, 563, 1103, 8184, 267, 6777, 344, 31450, 7866, 17031, 267, 8185, 905, 9312, 12209, 602, 1118, 519, 6177, 19039, 569, 3280, 1652, 538, 8184, 269, 634, 3952, 267, 4988, 609, 5230, 17207, 267, 616, 5176, 15865, 950, 538, 8184, 267, 1498, 596, 949, 5544, 873, 1282, 1491, 4752, 543, 2244, 902, 269, 634, 6960, 880, 3766, 2001, 13617, 13063, 616, 811, 10423, 538, 8184, 982, 950, 519, 6177, 568, 829, 3481, 269, 634, 3389, 5006, 536, 18732, 568, 593, 519, 5580, 12209, 267, 2212, 267, 1394, 267, 543, 17737, 267, 609, 4775, 5017, 1373, 1454, 811, 8185, 6825, 982, 519, 3592, 6986, 3043, 9038, 563, 306, 852, 344, 26449, 26335, 543, 17392, 454, 763, 6777, 344, 22559, 14981, 538, 519, 2484, 7187, 818, 8157, 267, 4955, 7992, 5045, 883, 7187, 512, 1495, 571, 2127, 2066, 3345, 3013, 543, 5607, 538, 519, 5162, 269, 769, 3345, 3013, 267, 519, 5162, 2039, 666, 1331, 519, 7187, 8728, 540, 519, 2136, 2276, 269, 4438, 1296, 540, 1434, 9960, 543, 8023, 2175, 267, 519, 5017, 949, 22109, 14320, 2417, 5045, 883, 519, 4571, 2136, 2276, 269, 4438, 891, 8966, 834, 597, 4533, 633, 257, 1296, 1739, 513, 1974, 540, 726, 550, 3814, 10352, 267, 6777, 344, 31450, 723, 1044, 19481, 607, 2484, 5045, 607, 8419, 563, 306, 852, 344, 31450, 3622, 9468, 2647, 1930, 512, 1495, 571, 267, 2361, 267, 22153, 19126, 267, 543, 31403, 2127, 267, 543, 723, 606, 8966, 23816, 1145, 585, 519, 1930, 4610, 602, 3295, 1082, 7187, 29032, 269, 1358, 3622, 2057, 4104, 539, 2127, 538, 3870, 540, 1930, 2127, 1141, 789, 666, 3362, 5544, 682, 7825, 902, 543, 824, 1507, 10352, 2831, 563, 763, 6777, 344, 22559, 3335, 14981, 538, 818, 8157, 4525, 267, 4955, 7992, 5045, 883, 4516, 543, 519, 3665, 7187, 2136, 2276, 538, 5162, 269, 1717, 267, 538, 930, 1296, 950, 519, 9960, 4005, 814, 1044, 2523, 11327, 267, 6777, 344, 31450, 786, 3006, 22109, 607, 2484, 5045, 607, 519, 4571, 2136, 2276, 267, 689, 11908, 547, 7187, 4993, 563, 763, 6777, 344, 22559, 568, 513, 3461, 267, 22072, 25433, 602, 1419, 829, 2583, 593, 1970, 4054, 610, 20545, 9708, 607, 621, 18795, 5163, 1652, 8384, 543, 6947, 585, 10352, 269, 769, 8184, 267, 922, 12209, 1397, 1360, 2656, 909, 560, 15809, 267, 609, 1279, 267, 3532, 1524, 560, 15809, 269, 1358, 616, 4767, 547, 581, 1034, 3742, 538, 519, 6640, 3108, 5612, 1310, 3141, 23438, 543, 538, 519, 1974, 1175, 1472, 546, 23677, 269, 4438, 544, 1342, 599, 3108, 610, 1282, 1651, 2211, 4365, 267, 789, 949, 2611, 5163, 1652, 593, 829, 2583, 585, 1082, 3108, 563, 291, 2884, 543, 30839, 454, 1607, 6177, 1419, 6968, 338, 676, 1554, 267, 4782, 2590, 682, 7825, 902, 610, 824, 2666, 23224, 855, 849, 2921, 1507, 11864, 610, 5017, 950, 2556, 269, 898, 786, 6968, 1312, 693, 3781, 543, 1282, 519, 1554, 267, 2356, 829, 4221, 547, 5619, 519, 10450, 543, 546, 691, 532, 1524, 950, 621, 9634, 610, 30650, 10352, 269, 898, 3006, 6968, 338, 676, 10760, 1970, 547, 519, 2666, 610, 1256, 689, 2666, 7400, 829, 2583, 269, 898, 29598, 10352, 538, 922, 5657, 976, 2864, 982, 922, 581, 752, 563, 17954, 5338, 4386, 5631, 538, 519, 818, 8157, 4525, 543, 568, 1034, 10731, 538, 1296, 950, 682, 7825, 902, 543, 824, 23224, 616, 726, 550, 3814, 269, 16176, 344, 31450, 9566, 593, 6659, 1208, 332, 4169, 610, 31393, 609, 513, 1434, 2070, 5196, 519, 1930, 512, 1495, 571, 269, 634, 9566, 3294, 568, 513, 2241, 4965, 538, 519, 2666, 602, 568, 711, 20898, 609, 21823, 610, 1000, 12127, 563, 292, 1375, 338, 543, 8479, 454, 763, 4775, 23933, 476, 274, 547, 476, 1556, 17642, 880, 5798, 267, 609, 811, 5798, 1455, 538, 1296, 950, 1426, 7727, 616, 726, 550, 3814, 269, 634, 5798, 24011, 693, 11996, 267, 609, 519, 4775, 6967, 593, 519, 9566, 1247, 519, 5256, 6968, 338, 543, 6770, 1426, 269, 634, 1762, 666, 4734, 519, 9566, 1310, 1079, 610, 1614, 4374, 267, 855, 621, 666, 1491, 607, 1454, 607, 5722, 4374, 585, 873, 547, 8038, 2841, 1836, 269, 634, 3237, 949, 3049, 519, 1762, 585, 693, 2547, 8370, 610, 4557, 4374, 563, 21930, 5017, 616, 811, 6960, 880, 982, 3043, 269, 634, 9038, 7930, 2981, 883, 6986, 3043, 5017, 267, 1247, 8951, 786, 11677, 930, 6960, 880, 24795, 883, 15657, 563, 306, 852, 344, 26449, 11094, 454, 8266, 539, 607, 513, 834, 1042, 1592, 257, 7925, 2249, 676, 519, 594, 30002, 630, 17220, 5742, 585, 11094, 540, 7186, 1070, 621, 568, 6059, 602, 972, 616, 476, 1789, 267, 1822, 547, 476, 1911, 267, 1822, 6777, 344, 31450, 5001, 269, 898, 568, 1634, 602, 519, 2551, 568, 19394, 267, 4440, 1813, 547, 2518, 8337, 269, 5221, 9960, 2127, 616, 3833, 6552, 267, 891, 5017, 616, 711, 1454, 4299, 676, 824, 3029, 540, 1480, 13779, 267, 855, 607, 2518, 5210, 4473, 267, 519, 5078, 9960, 2127, 7771, 563, 20751, 519, 6777, 344, 22559, 781, 2039, 267, 2338, 666, 581, 9415, 676, 3257, 8726, 568, 2009, 547, 2149, 543, 4228, 6371, 344, 610, 23047, 1506, 14099, 9789, 7226, 538, 799, 713, 6177, 6968, 338, 563, 19522, 585, 7982, 12881, 16819, 619, 454, 763, 6777, 344, 22559, 568, 513, 986, 696, 528, 602, 3884, 1405, 561, 3293, 547, 707, 13452, 676, 6177, 12890, 619, 1765, 684, 1652, 1346, 29650, 1831, 2442, 609, 8983, 610, 824, 1507, 23224, 945, 3049, 593, 5452, 16559, 593, 519, 2666, 269, 1403, 596, 2661, 538, 513, 3148, 609, 1279, 6777, 344, 24475, 267, 971, 838, 2714, 902, 538, 707, 13452, 616, 2009, 267, 1498, 711, 1455, 269, 1411, 949, 267, 2705, 267, 581, 2111, 547, 6536, 1930, 2127, 1472, 707, 3959, 547, 1683, 519, 6371, 344, 14099, 538, 799, 891, 5017, 899, 547, 6968, 563, 289, 2273, 532, 12439, 945, 2661, 2282, 803, 27595, 543, 4610, 609, 2635, 887, 4823, 5095, 1522, 1134, 5544, 513, 6777, 344, 22559, 1282, 519, 5162, 3275, 269, 634, 5017, 3622, 22109, 1394, 547, 519, 818, 8157, 538, 4832, 269, 2755, 713, 986, 696, 528, 568, 5827, 540, 2921, 10352, 607, 1804, 607, 513, 15529, 267, 621, 568, 1360, 4686, 585, 7314, 610, 1507, 5243, 547, 2887, 6408, 547, 513, 6777, 344, 22559, 4323, 269, 901, 6177, 27422, 547, 3548, 682, 7825, 902, 267, 2019, 525, 267, 543, 8983, 269, 769, 10821, 3871, 267, 4376, 3677, 982, 513, 13863, 332, 6064, 610, 1507, 29160, 568, 12691, 547, 581, 6098, 676, 513, 6777, 344, 22559, 563, 1692, 547, 4855, 713, 16819, 454, 1103, 4832, 267, 596, 616, 12691, 547, 1294, 713, 6177, 8259, 596, 2951, 547, 519, 2484, 7187, 818, 8157, 512, 1495, 571, 269, 769, 5162, 267, 950, 621, 4955, 6233, 5045, 267, 596, 616, 1034, 2693, 547, 5544, 513, 6777, 344, 22559, 538, 9299, 597, 625, 267, 3484, 4133, 267, 23047, 1127, 267, 17822, 267, 543, 5070, 1673, 2317, 4525, 267, 1141, 621, 6968, 338, 585, 1507, 3014, 538, 519, 6777, 269, 9521, 1034, 31450, 267, 799, 616, 27248, 21962, 267, 519, 6777, 344, 22559, 1419, 20555, 538, 519, 21765, 3108, 267, 8384, 5702, 689, 513, 1970, 829, 577 ]

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

[ 21098, 532, 267, 4687, 14296, 267, 2759, 331, 2044, 610, 28331, 1805, 1157, 609, 606, 269, 12019, 21399, 616, 606, 1198, 540, 519, 15601, 2241, 343, 3644, 269, 898, 2501, 538, 519, 1106, 540, 23034, 268, 272, 267, 799, 3123, 21399, 1657, 519, 22765, 267, 543, 23034, 268, 273, 267, 799, 3123, 21399, 2630, 621, 267, 3226, 538, 519, 19058, 3148, 269, 12019, 21399, 616, 21380, 543, 666, 3262, 689, 835, 1268, 547, 1776, 267, 610, 267, 538, 4686, 2665, 267, 689, 835, 851, 540, 519, 1560, 547, 519, 824, 2859, 982, 3368, 540, 1004, 538, 519, 772, 2529, 269, 723, 1044, 7783, 609, 519, 3644, 602, 3123, 4411, 21399, 11065, 15277, 476, 736, 543, 476, 2412, 260, 540, 873, 786, 1995, 519, 7772, 602, 568, 513, 4411, 15319, 1809, 1082, 1004, 1205, 4411, 21399, 602, 2097, 1394, 269, 12019, 590, 648, 12580, 12019, 21399, 616, 1034, 2693, 547, 1397, 909, 593, 519, 3544, 540, 707, 5023, 543, 17534, 267, 855, 596, 666, 849, 1205, 873, 593, 707, 9224, 543, 1750, 4060, 454, 298, 1170, 532, 2576, 945, 814, 513, 4411, 15319, 269, 19457, 513, 6704, 4837, 267, 4189, 27022, 267, 610, 9067, 2545, 332, 609, 2576, 945, 814, 513, 4411, 15319, 269, 11109, 5711, 3023, 609, 2576, 945, 814, 513, 4411, 15319, 269, 589, 20169, 4816, 666, 849, 1205, 519, 3968, 693, 4332, 269, 1403, 596, 723, 513, 15601, 3644, 267, 596, 666, 547, 1780, 621, 2059, 1256, 950, 596, 1810, 1405, 723, 513, 15319, 269, 12019, 21399, 27506, 909, 12212, 12019, 21399, 1413, 899, 1507, 3043, 267, 11909, 267, 610, 2699, 28338, 602, 2356, 4755, 538, 610, 1472, 519, 5023, 543, 17534, 269, 1411, 666, 3006, 1205, 4411, 21399, 593, 519, 9224, 267, 24060, 267, 1750, 4060, 267, 543, 824, 2694, 540, 519, 3068, 269, 16242, 593, 519, 17534, 610, 5023, 1858, 1282, 5959, 2126, 666, 1267, 538, 513, 4411, 15319, 1025, 3563, 267, 607, 666, 519, 2566, 543, 4160, 930, 1004, 1995, 1282, 11290, 11564, 269, 3687, 4476, 519, 8458, 540, 606, 12176, 609, 519, 1739, 4388, 281, 13185, 547, 707, 11290, 827, 4411, 21399, 269, 11910, 707, 11290, 538, 4434, 952, 596, 723, 513, 4411, 15319, 1412, 5575, 1919, 1101, 910, 513, 3787, 540, 7242, 11861, 532, 827, 4411, 21399, 269, 8307, 1346, 945, 723, 519, 15601, 2241, 343, 3644, 786, 1205, 4411, 21399, 269, 1924, 267, 547, 782, 1346, 1004, 593, 12108, 543, 9365, 19101, 547, 723, 2919, 4411, 21399, 585, 519, 1101, 942, 538, 741, 1272, 1813, 547, 9849, 513, 9633, 585, 476, 1015, 3764, 1247, 10918, 910, 20994, 267, 855, 594, 3810, 8969, 621, 6423, 2052, 1411, 5192, 12019, 1924, 637, 689, 1744, 1136, 24732, 286, 593, 634, 12019, 590, 648, 9615, 16958, 610, 1224, 519, 3003, 2022, 2630, 281, 4014, 513, 3984, 540, 17900, 543, 4551, 666, 581, 11843, 689, 24373, 3946, 267, 519, 10171, 540, 24931, 519, 15601, 2241, 343, 3644, 616, 28489, 269, 12019, 21399, 2049, 1813, 547, 5711, 3346, 609, 606, 23034, 268, 272, 1286, 4471, 454, 3080, 11148, 547, 3123, 19058, 21399, 630, 28205, 616, 16770, 10299, 2356, 264, 543, 519, 824, 11148, 547, 2014, 4411, 21399, 630, 2254, 2356, 16770, 10299, 1040, 6423, 513, 4387, 945, 666, 948, 269, 4855, 12729, 1416, 7189, 2282, 596, 269, 634, 1826, 540, 15601, 602, 3123, 4411, 21399, 568, 1360, 1455, 910, 538, 1249, 267, 1034, 1004, 616, 4440, 7783, 609, 621, 12019, 21399, 616, 20027, 855, 3810, 21380, 269, 1358, 949, 2132, 1419, 543, 1831, 4049, 538, 1004, 945, 723, 513, 4617, 4761, 1062, 269, 1924, 267, 952, 596, 723, 513, 4411, 15319, 593, 1022, 851, 540, 707, 1560, 267, 1205, 621, 5701, 5612, 269, 13565, 281, 634, 20212, 1063, 12019, 590, 648, 543, 595, 1678, 518, 590, 648, 269, 589, 2603, 540, 1004, 723, 23034, 268, 272, 269, 1809, 267, 711, 782, 7783, 3283, 786, 1205, 4411, 21399, 12019, 21399, 616, 11213, 1025, 3563, 6438, 21399, 602, 2356, 2408, 1472, 519, 17534, 269, 1358, 616, 3361, 676, 519, 15601, 2241, 343, 3644, 630, 335, 1042, 11395, 569, 519, 1826, 476, 272, 3099, 267, 855, 849, 1826, 476, 273, 538, 930, 2665, 1070, 799, 666, 581, 10299, 689, 835, 1268, 547, 1776, 896, 1978, 6381, 12019, 21399, 616, 3361, 676, 519, 15601, 2241, 343, 3644, 543, 30133, 568, 3361, 676, 519, 15601, 1990, 8803, 3644, 630, 1492, 1482, 3644, 602, 3123, 9269, 1093, 343, 1040, 4495, 596, 616, 6534, 547, 891, 15601, 8290, 267, 789, 666, 2611, 26862, 267, 2356, 2059, 519, 13285, 267, 585, 1082, 1296, 2394, 707, 1062, 568, 18604, 676, 2566, 610, 3668, 540, 3207, 18266, 281, 1411, 666, 1205, 513, 4411, 15319, 676, 21098, 532, 269, 634, 15555, 528, 568, 3020, 281, 918, 1170, 532, 2576, 609, 513, 4411, 15319, 666, 4483, 519, 3644, 602, 3123, 621, 630, 21406, 15601, 2241, 343, 3644, 610, 23034, 268, 272, 264, 689, 873, 547, 596, 269, 2290, 540, 519, 1034, 1455, 2081, 519, 3644, 568, 3262, 568, 998, 21098, 532, 267, 1317, 519, 3644, 4749, 4386, 1472, 519, 5023, 543, 519, 17534, 267, 1767, 26056, 563, 306, 2803, 593, 519, 17534, 616, 4122, 5219, 547, 607, 4411, 21399, 269, 16791, 539, 7606, 786, 1419, 1995, 513, 32688, 267, 21422, 610, 8781, 14815, 1472, 741, 5023, 267, 1354, 519, 5920, 540, 21399, 269, 2991, 3355, 3968, 267, 519, 28338, 610, 21385, 666, 21237, 9888, 2368, 1004, 2760, 1205, 4411, 21399, 693, 782, 1317, 519, 3644, 2760, 3587, 3742, 269, 6164, 532, 4411, 21399, 269, 12019, 21399, 2356, 2312, 909, 676, 2933, 1510, 2126, 1369, 476, 278, 547, 476, 1015, 2395, 269, 1717, 267, 27179, 1212, 4461, 616, 2139, 936, 519, 4831, 689, 7966, 9313, 1510, 513, 13310, 269, 1403, 1031, 7157, 267, 891, 666, 948, 8897, 707, 2589, 543, 3432, 909, 269, 1403, 1352, 781, 554, 12364, 272, 2942, 630, 543, 554, 12364, 273, 2942, 3738, 676, 1973, 4152, 910, 5310, 1352, 1522, 581, 5461, 538, 10283, 538, 519, 1200, 701, 341, 659, 6669, 8062, 269, 1411, 666, 24440, 621, 547, 1265, 856, 811, 593, 621, 269, 1403, 1352, 781, 554, 12364, 272, 2942, 910, 621, 781, 1655, 547, 20093, 593, 519, 2427, 540, 13657, 543, 2057, 21098, 532, 1200, 9170, 2394, 519, 4411, 15319, 568, 646, 4705, 543, 519, 2960, 568, 1394, 547, 3339, 454, 290, 1245, 21399, 2736, 1930, 543, 1085, 629, 1369, 476, 4366, 3108, 543, 8207, 1369, 2947, 547, 476, 1428, 2395, 267, 2687, 547, 519, 589, 4696, 269, 15486, 540, 4411, 21399, 269, 4495, 596, 4579, 519, 15601, 2241, 343, 3644, 602, 3123, 4411, 21399, 267, 621, 269, 25175, 666, 1020, 4411, 21399, 282, 538, 1249, 267, 1034, 2043, 1205, 693, 2547, 835, 267, 543, 12489, 1020, 547, 2061, 811, 269, 6168, 17288, 2600, 540, 4079, 786, 1020, 18596, 17061, 269, 15566, 2542, 547, 4685, 883, 519, 2101, 3123, 540, 4411, 21399, 1631, 267, 4358, 609, 519, 2407, 3877, 593, 875, 23034, 2501, 883, 1404, 12580, 540, 12019, 1924, 637, 593, 26100, 267, 631, 1926, 267, 25590, 267, 26280, 826, 267, 715, 846, 267, 16685, 543, 8131, 269, 4107, 666, 5431, 513, 4411, 15319, 689, 1483, 1272, 610, 1072, 7044, 269, 634, 2589, 540, 4411, 21399, 1331, 1025, 3563, 532, 1472, 519, 7783, 3148, 269, 1306, 519, 2012, 5267, 267, 21399, 786, 2408, 799, 786, 581, 4904, 538, 513, 5277, 454, 763, 1249, 602, 1310, 31024, 17534, 4988, 609, 513, 6094, 12933, 267, 799, 538, 1022, 2013, 666, 711, 15237, 1055, 267, 2094, 621, 14014, 1996, 23633, 4551, 269, 4173, 6647, 16420, 9397, 713, 12933, 267, 1281, 711, 1450, 621, 547, 5265, 1106, 543, 267, 4061, 267, 13676, 17534, 2611, 1510, 1022, 4027, 269, 1656, 2943, 519, 15319, 949, 27253, 519, 1267, 540, 519, 5650, 1403, 713, 568, 707, 1101, 942, 540, 3478, 4411, 15319, 267, 798, 711, 5855, 267, 596, 616, 711, 538, 713, 4805, 269, 11565, 803, 267, 1004, 1205, 4411, 21399, 782, 519, 942, 269, 769, 1249, 267, 476, 3445, 260, 540, 4079, 1449, 2318, 585, 15601, 269, 1717, 269, 2334, 1797, 1022, 1463, 3346, 609, 519, 15319, 1223, 3262, 519, 3644, 269, 1703, 616, 513, 1297, 540, 3268, 707, 9393, 666, 1491, 547, 2569, 519, 4960, 540, 10825, 519, 3644, 602, 3123, 519, 21399, 543, 2539, 1010, 1981, 585, 3384, 4411, 21399, 4749, 269, 12019, 21399, 616, 6263, 267, 5714, 23752, 28338, 593, 543, 1472, 519, 17534, 269, 634, 28338, 1419, 616, 19882, 1927, 454, 290, 1245, 21399, 616, 21380, 1247, 596, 723, 2589, 267, 855, 789, 616, 1034, 11763, 950, 519, 1025, 3563, 28377, 269, 1403, 596, 723, 513, 4411, 15319, 267, 2057, 21098, 532, 4896, 267, 2523, 20169, 9002, 610, 1004, 609, 513, 18604, 4761, 1062, 267, 2394, 519, 15319, 568, 4625, 646, 4705, 269, 1411, 1058, 849, 1491, 1416, 547, 2061, 3346, 1063, 519, 4411, 15319, 543, 4896, 3116, 781, 2960, 4635, 15267, 666, 2014, 21994, 538, 930, 1004, 269, 476, 274, 269, 2052, 10109, 529, 949, 13347, 707, 7181, 269, 476, 275, 269, 19457, 10549, 543, 536, 29330, 4679, 519, 1981, 540, 3444, 19899, 1254, 269, 4014, 7296, 18290, 609, 513, 4411, 949, 711, 581, 519, 1655, 2856, 267, 972, 616, 7899, 540, 824, 2081, 547, 4324, 689, 17089, 1510, 8886, 908, 707, 9641, 1411, 1058, 1294, 513, 4387, 952, 596, 5781, 1205, 4411, 21399, 269, 589, 4387, 666, 849, 948, 952, 789, 2951, 547, 707, 3750, 267, 1810, 1405, 979, 2476, 1310, 513, 3018, 610, 476, 273, 267, 610, 1831, 11303, 676, 12933, 344, 2960, 269, 7831, 1199, 1227, 269, 3371, 781, 1018, 596, 991, 547, 917, 281, 4173, 6647, 2241, 343, 568, 513, 3644, 269, 1703, 616, 811, 982, 476, 1911, 1634, 2010, 540, 15601, 8290, 267, 855, 1152, 1079, 616, 2356, 16770, 10299, 281, 15601, 2241, 343, 3644, 1826, 476, 272, 630, 9391, 309, 268, 272, 264, 543, 1826, 476, 273, 630, 9391, 309, 268, 273, 1040, 5637, 2010, 666, 2014, 19058, 15601, 269, 23034, 268, 272, 666, 849, 2014, 21399, 593, 519, 5023, 610, 17534, 1572, 8611, 28338, 610, 4411, 21399, 454, 290, 1245, 21399, 267, 3006, 1572, 8611, 28338, 267, 616, 2516, 540, 1507, 28338, 602, 1106, 593, 267, 610, 2282, 519, 17534, 269, 1358, 616, 3361, 676, 606, 3968, 689, 513, 3644, 1572, 15601, 2241, 343, 3644, 630, 9391, 309, 1040, 634, 2960, 1472, 891, 28338, 568, 1419, 2699, 267, 22224, 267, 543, 1360, 11213, 1403, 596, 2811, 4358, 547, 1745, 519, 4191, 543, 2589, 540, 513, 4411, 15319, 267, 899, 32688, 543, 8781, 267, 596, 666, 581, 21380, 693, 602, 3942, 267, 1932, 267, 3081, 5839, 298, 9519, 269, 2368, 2564, 4966, 2161, 547, 20093, 593, 519, 2427, 540, 13657, 543, 711, 1450, 4896, 945, 814, 1185, 513, 4411, 15319, 538, 519, 3105, 3018, 547, 21098, 707, 4816, 25003, 269, 1411, 2811, 811, 2693, 547, 6952, 513, 4411, 543, 547, 723, 811, 5498, 3164, 897, 1091, 952, 596, 8673, 610, 616, 1472, 2034, 8518, 8673, 269, 22452, 269, 1403, 596, 2811, 1472, 24921, 267, 971, 607, 693, 1153, 610, 593, 606, 20987, 267, 596, 2811, 2693, 547, 581, 6534, 547, 8290, 602, 2014, 897, 1091, 269, 1290, 4124, 269, 1452, 2175, 666, 2049, 2059, 609, 707, 4411, 281, 26590, 1274, 3968, 630, 582, 4345, 2923, 264, 12019, 21399, 543, 8611, 28338, 616, 3361, 676, 15601, 2241, 343, 3644, 1826, 476, 272, 630, 9391, 309, 268, 272, 1040, 901, 3644, 568, 5293, 689, 1268, 547, 1268, 676, 19975, 630, 32355, 2047, 267, 610, 676, 6704, 689, 519, 1482, 4837, 610, 7484, 264, 610, 676, 2960, 3346, 269, 12019, 21399, 2356, 2408, 607, 13421, 540, 6263, 28338, 593, 519, 9067, 269, 6168, 476, 279, 856, 540, 476, 1015, 1004, 723, 519, 3644, 602, 3123, 4411, 21399, 590, 648, 11563, 543, 513, 2196, 5500, 9224, 616, 1360, 30414, 543, 267, 950, 596, 723, 513, 4411, 267, 7296, 18290, 568, 4440, 519, 2063, 3364, 593, 707, 2247, 269, 4014, 891, 2589, 2356, 979, 2476, 538, 513, 1906, 2395, 267, 930, 1004, 1265, 621, 1360, 4101, 547, 3251, 2476, 689, 15267, 269, 901, 568, 2523, 865, 585, 2564, 2550, 945, 991, 547, 1491, 741, 6646, 593, 513, 3232, 4493, 454, 763, 2165, 5312, 4411, 21399, 1131, 811, 8308, 4766, 519, 1072, 3390, 594, 28815, 585, 865, 1082, 1296, 269, 4438, 1250, 3735, 7141, 1296, 267, 782, 519, 1259, 547, 1250, 4571, 268, 736, 781, 267, 594, 1131, 1205, 9170, 689, 476, 275, 268, 279, 4411, 21399, 829, 1032, 12019, 21399, 616, 3361, 676 ]

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

[ 24973, 269, 634, 2887, 540, 519, 29305, 543, 6739, 23693, 8507, 538, 17615, 8942, 547, 2699, 3863, 11889, 543, 3486, 6302, 269, 9737, 476, 4489, 278, 543, 476, 4489, 280, 1896, 771, 550, 836, 2211, 3785, 941, 2919, 543, 8045, 676, 1114, 11051, 267, 1519, 6805, 30921, 543, 14418, 26112, 269, 1452, 941, 519, 645, 1722, 520, 4201, 16860, 29064, 538, 476, 4489, 278, 282, 519, 14418, 519, 7100, 2813, 676, 513, 4744, 1211, 14418, 31494, 700, 889, 338, 534, 6341, 323, 534, 570, 1910, 6577, 990, 282, 543, 519, 3443, 5336, 784, 565, 1014, 10480, 3130, 540, 28740, 267, 4934, 518, 267, 670, 592, 684, 25975, 597, 543, 645, 1722, 520, 31322, 6462, 676, 5545, 10492, 543, 513, 6237, 595, 1601, 871, 6205, 717, 3419, 800, 12054, 523, 990, 269, 3962, 1788, 896, 20040, 513, 1978, 1895, 3961, 543, 10645, 1880, 22228, 5624, 269, 634, 2376, 8268, 875, 519, 7526, 1063, 20718, 9163, 941, 17251, 267, 543, 1946, 782, 1614, 3785, 8959, 269, 0, 306, 1993, 320, 568, 513, 13495, 1074, 320, 2165, 585, 10553, 7980, 945, 6039, 538, 519, 7952, 540, 519, 5689, 328, 7276, 269, 1924, 325, 553, 1131, 849, 4339, 267, 538, 8795, 19206, 267, 538, 519, 20679, 540, 2663, 13495, 2946, 2829, 971, 607, 519, 645, 600, 3570, 543, 654, 817, 9567, 537, 23693, 563, 763, 2262, 865, 17304, 18922, 883, 2296, 607, 834, 15289, 540, 519, 7504, 257, 9497, 810, 257, 1797, 7504, 267, 543, 834, 17304, 257, 1797, 834, 15289, 8442, 610, 834, 31384, 1014, 540, 519, 7504, 2668, 901, 2165, 11710, 689, 519, 3312, 1599, 540, 519, 865, 17304, 607, 513, 1416, 339, 6033, 585, 519, 7504, 610, 9640, 540, 13495, 1074, 320, 29816, 4971, 619, 1572, 834, 30138, 926, 8487, 306, 1993, 320, 538, 519, 13495, 1074, 320, 10504, 540, 5689, 328, 454, 306, 1993, 553, 1118, 741, 1101, 5920, 538, 5711, 543, 2854, 5638, 1282, 519, 5250, 540, 519, 5689, 328, 7276, 269, 1924, 325, 553, 941, 25945, 689, 834, 329, 517, 578, 257, 630, 16435, 2314, 264, 9676, 538, 6370, 610, 11751, 689, 7192, 541, 269, 1358, 1223, 581, 31030, 593, 538, 1034, 8320, 585, 24150, 267, 2094, 741, 17612, 31030, 7357, 593, 741, 4487, 269, 634, 9872, 540, 8474, 538, 519, 5689, 328, 7276, 8185, 30039, 14017, 267, 543, 795, 517, 578, 1223, 4473, 547, 3540, 610, 4108, 7158, 540, 23146, 269, 13744, 578, 2968, 851, 540, 741, 4487, 781, 28334, 267, 543, 941, 1419, 15685, 1310, 513, 1978, 2179, 540, 1296, 563, 288, 4172, 577, 610, 865, 17304, 568, 513, 4062, 540, 11647, 585, 27939, 1079, 610, 811, 1004, 538, 519, 1106, 540, 513, 14541, 267, 609, 610, 1510, 6186, 6135, 338, 267, 602, 568, 13148, 610, 7357, 15081, 565, 560, 1229, 267, 543, 1419, 19034, 609, 20950, 543, 3358, 24302, 687, 269, 4014, 513, 4172, 577, 568, 1031, 5097, 585, 27939, 267, 621, 949, 581, 1031, 585, 556, 743, 1456, 543, 562, 6260, 563, 1103, 5321, 267, 4172, 2583, 616, 7363, 1336, 538, 519, 1920, 4055, 267, 2713, 4055, 267, 3954, 267, 9361, 4055, 610, 519, 561, 1735, 613, 269, 1358, 616, 849, 1336, 538, 20730, 267, 10981, 9812, 540, 5010, 13646, 267, 7996, 11623, 267, 543, 930, 13063, 563, 763, 2165, 4172, 577, 568, 1031, 538, 3345, 3013, 543, 5245, 267, 15029, 519, 2165, 865, 17304, 568, 3622, 1031, 538, 519, 2136, 8003, 269, 634, 2262, 12090, 538, 5664, 2296, 689, 519, 6196, 3943, 10902, 4172, 3832, 267, 799, 6508, 689, 519, 8231, 2495, 834, 1729, 9114, 1524, 2668, 898, 8385, 20922, 606, 6221, 540, 11647, 585, 14084, 610, 12008, 593, 267, 10169, 899, 513, 11024, 1047, 1279, 826, 267, 855, 1631, 4016, 547, 865, 325, 553, 538, 2489, 563, 8448, 2474, 799, 666, 581, 24190, 609, 519, 1657, 4214, 616, 1305, 6590, 267, 1750, 3122, 7615, 267, 2820, 534, 267, 546, 13273, 1636, 267, 561, 1735, 613, 267, 543, 666, 777, 2946, 269, 634, 2262, 865, 17304, 568, 689, 15349, 6508, 689, 519, 12428, 2262, 3411, 320, 585, 834, 342, 944, 2580, 23608, 538, 519, 589, 18769, 545, 2262, 521, 2089, 320, 585, 834, 3901, 2668, 634, 2262, 1305, 6590, 2501, 689, 519, 6196, 2296, 2262, 267, 834, 3553, 331, 2580, 799, 729, 1031, 547, 4766, 1279, 1649, 2583, 609, 1164, 19758, 543, 7916, 267, 855, 568, 1631, 3622, 1031, 547, 4766, 15081, 565, 560, 1229, 27939, 563, 288, 9042, 568, 519, 5385, 540, 513, 20161, 610, 2724, 607, 519, 3902, 540, 513, 1434, 610, 513, 3028, 2529, 2297, 630, 680, 1116, 1152, 264, 568, 2534, 1644, 547, 9513, 610, 519, 2179, 540, 4421, 5370, 610, 2533, 538, 513, 2016, 942, 1974, 563, 763, 22673, 610, 519, 8502, 540, 519, 5370, 610, 2533, 29349, 513, 9042, 538, 3210, 547, 606, 11601, 267, 3261, 566, 267, 7528, 9974, 610, 513, 1463, 5872, 609, 519, 23138, 693, 519, 1448, 540, 9042, 269, 1703, 568, 513, 8429, 540, 2140, 630, 27393, 1399, 610, 9562, 264, 540, 519, 6221, 267, 543, 519, 11175, 540, 513, 3902, 267, 538, 799, 6876, 568, 6603, 593, 513, 3902, 585, 799, 4483, 540, 9562, 540, 519, 6221, 786, 2049, 269, 634, 22673, 267, 711, 519, 4136, 6471, 3622, 4291, 2373, 519, 9042, 543, 621, 949, 581, 6192, 1991, 547, 519, 17185, 540, 8569, 269, 769, 519, 2013, 540, 9940, 5872, 267, 513, 1268, 945, 23619, 5370, 610, 3028, 593, 15773, 540, 519, 8227, 568, 1634, 607, 6455, 2006, 610, 6455, 30513, 563, 303, 545, 269, 1775, 1805, 1442, 3267, 22353, 547, 513, 1867, 676, 654, 820, 7257, 267, 519, 3747, 585, 3207, 2472, 4682, 909, 676, 476, 3583, 4939, 1282, 519, 6855, 267, 6306, 689, 513, 21782, 538, 519, 6455, 540, 23908, 21978, 23107, 543, 12947, 23341, 11647, 899, 513, 865, 17304, 2275, 636, 1532, 539, 269, 6820, 25682, 12367, 3267, 6215, 3784, 16152, 269, 20266, 269, 1775, 1805, 1442, 3267, 12619, 1494, 687, 269, 20266, 269, 1775, 1805, 1442, 3267, 11554, 856, 538, 5127, 593, 519, 4473, 269, 20266, 269, 1775, 1805, 1442, 3267, 20266, 269, 12834, 3820, 3267, 4586, 1607, 3670, 1532, 539, 3336, 1753, 568, 593, 519, 6917, 856, 12921, 16630, 540, 11205, 3467, 267, 538, 590, 12002, 564, 267, 543, 568, 585, 9042, 585, 11278, 280, 4037, 267, 1822, 3842, 10040, 8069, 14339, 15104, 24171, 1862, 14348, 596, 10943, 1662, 856, 593, 513, 12805, 865, 17304, 6730, 2915, 5127, 286, 1284, 1862, 18738, 519, 1034, 9763, 5321, 585, 9042, 18246, 3267, 901, 16823, 2777, 538, 623, 839, 5112, 267, 30290, 267, 568, 585, 9042, 585, 11278, 273, 269, 276, 332, 11669, 3842, 10040, 8069, 2441, 773, 1299, 3213, 563, 312, 731, 306, 1446, 23190, 2877, 585, 519, 4728, 2146, 17253, 13452, 9042, 269, 589, 1592, 540, 3688, 2877, 1331, 11647, 630, 577, 4202, 267, 964, 802, 267, 865, 325, 553, 267, 7515, 1070, 7622, 3688, 630, 341, 659, 10840, 267, 2011, 26650, 518, 267, 3282, 886, 12528, 267, 22311, 1070, 10051, 2264, 630, 4134, 1127, 267, 17428, 267, 31781, 267, 8988, 2264, 267, 3092, 13776, 543, 1453, 781, 3688, 630, 1729, 903, 267, 2835, 267, 9660, 264, 3267, 476, 1839, 13538, 616, 2877, 547, 948, 609, 519, 962, 731, 22312, 3267, 3267, 563, 763, 8783, 14012, 781, 8250, 729, 16957, 569, 546, 1575, 539, 540, 12652, 476, 4097, 267, 1822, 676, 835, 540, 519, 2185, 15034, 267, 945, 1185, 14059, 1200, 607, 513, 23138, 593, 606, 552, 19645, 3760, 267, 1141, 1352, 1185, 2322, 909, 513, 865, 17304, 593, 9042, 269, 4746, 3367, 3267, 834, 763, 1614, 5249, 593, 10243, 4493, 585, 2782, 529, 3267, 4340, 547, 519, 7128, 267, 519, 6408, 1185, 2322, 909, 513, 865, 17304, 585, 9042, 593, 606, 552, 19645, 3760, 3267, 16156, 3267, 563, 763, 8783, 14012, 779, 8250, 729, 16957, 569, 546, 1575, 539, 540, 12652, 476, 4097, 267, 1822, 676, 835, 540, 519, 2185, 15034, 267, 945, 1185, 14059, 1200, 607, 513, 23138, 593, 606, 552, 19645, 3760, 267, 1141, 1352, 1185, 2322, 909, 513, 865, 17304, 593, 9042, 269, 968, 763, 1614, 5249, 593, 10243, 4493, 585, 2782, 529, 3267, 4340, 547, 519, 7128, 267, 519, 6408, 1185, 2322, 909, 513, 865, 17304, 585, 9042, 593, 606, 552, 19645, 3760, 3267, 16193, 3267, 4924, 476, 1428, 3267, 4586, 29670, 4055, 27939, 630, 1575, 547, 476, 2568, 260, 1055, 264, 300, 11697, 18007, 1955, 8643, 309, 10679, 339, 476, 10037, 269, 276, 20878, 2647, 4009, 6186, 6460, 1043, 865, 17304, 267, 729, 1269, 29024, 269, 4200, 267, 593, 9042, 585, 1269, 30306, 269, 4200, 269, 898, 2501, 538, 5722, 4778, 910, 12457, 267, 16009, 267, 3039, 267, 1769, 3039, 267, 28401, 5835, 267, 11909, 543, 4158, 10424, 4544, 15030, 514, 8725, 303, 7163, 31506, 557, 12076, 476, 6200, 269, 273, 20878, 31181, 865, 17304, 543, 11024, 1047, 609, 522, 1777, 2674, 267, 729, 1269, 278, 7597, 269, 4200, 267, 593, 9042, 585, 1269, 6321, 280, 269, 4200, 563, 6097, 547, 519, 7128, 267, 519, 6408, 1185, 2322, 909, 513, 865, 17304, 585, 9042, 593, 606, 552, 19645, 3760, 3267, 22013, 6062, 2419, 3971, 10579, 6635, 341, 785, 3223, 329, 686, 19789, 781, 8250, 670, 6702, 7534, 814, 16957, 569, 1044, 546, 1575, 539, 540, 19238, 373, 4097, 267, 1822, 676, 513, 812, 267, 945, 14059, 1200, 607, 513, 23138, 593, 606, 552, 19645, 3760, 267, 1141, 1352, 1185, 2322, 909, 513, 865, 17304, 593, 9042, 267, 7128, 1767, 593, 11728, 563, 301, 11246, 667, 5085, 26980, 269, 16156, 8783, 14012, 1488, 341, 785, 3223, 329, 686, 19789, 781, 8250, 670, 6702, 7534, 814, 16957, 569, 1044, 546, 1575, 539, 540, 12652, 476, 4097, 267, 1822, 676, 513, 812, 267, 945, 14059, 1200, 607, 513, 23138, 593, 606, 552, 19645, 3760, 267, 1141, 1352, 1185, 2322, 909, 513, 865, 17304, 593, 9042, 267, 7128, 1767, 593, 11728, 3267, 4340, 547, 519, 7128, 267, 519, 6408, 1185, 2322, 909, 513, 865, 17304, 585, 9042, 593, 606, 552, 19645, 3760, 3267, 8281, 3267, 16156, 269, 4975, 269, 4586, 22013, 6062, 2419, 3971, 10579, 6635, 341, 785, 3223, 329, 686, 19789, 781, 8250, 670, 6702, 7534, 3223, 329, 686, 19789, 814, 15468, 10352, 547, 513, 30040, 3009, 1085, 600, 267, 16957, 569, 9561, 12652, 476, 4097, 267, 1822, 547, 513, 12611, 3122, 1247, 3843, 547, 6133, 513, 2034, 11804, 865, 17304, 1305, 593, 513, 1357, 22045, 269, 634, 12611, 3122, 14059, 670, 6702, 7534, 593, 519, 9140, 5498, 29818, 22045, 267, 6029, 16994, 1719, 538, 11449, 513, 2034, 11804, 865, 17304, 1305, 1352, 1185, 2322, 593, 9042, 563, 17098, 267, 594, 993, 3168, 585, 1945, 585, 1250, 3774, 936, 1250, 865, 17304, 3267, 634, 4446, 5901, 619, 31541, 303, 32535, 7581, 753, 518, 538, 513, 476, 2641, 268, 8784, 2450, 568, 593, 9042, 693, 9546, 27926, 585, 1269, 272, 269, 7176, 713, 3018, 3267, 3040, 8262, 31849, 814, 513, 20036, 10750, 512, 879, 701, 865, 17304, 543, 561, 990, 3150, 520, 593, 9042, 585, 1269, 26482, 1142, 3267, 3040, 589, 24605, 476, 1428, 269, 277, 20878, 15291, 609, 27311, 11759, 1775, 276, 568, 593, 9042, 585, 1269, 276, 4200, 269, 4200, 693, 27010, 563, 22013, 6062, 2419, 3971, 10579, 6635, 341, 785, 3223, 329, 686, 19789, 779, 8250, 670, 6702, 7534, 814, 16957, 569, 1044, 546, 1575, 539, 540, 12652, 476, 4097, 267, 1822, 676, 513, 812, 267, 945, 14059, 1200, 607, 513, 23138, 593, 606, 552, 19645, 3760, 267, 1141, 1352, 1185, 2322, 909, 513, 865, 17304, 593, 9042, 267, 7128, 1767, 593, 11728, 3267, 4340, 547, 519, 7128, 267, 519, 6408, 1185, 2322, 909, 513, 865, 17304, 585, 9042, 593, 606, 552, 19645, 3760, 3267, 5440, 5240, 14738, 3767, 3267, 16193, 3267, 14970, 18248, 269, 0, 763, 10945, 540, 799, 540, 519, 1739, 1131, 581, 9642, 2338, 888, 763, 4009, 540, 606, 9642, 1297, 568, 9642, 543, 519, 4009, 540, 606, 1256, 1297, 568, 1256, 269, 3371, 267, 476, 32542, 543, 476, 6507, 278, 280, 616, 9642, 2338, 563, 13295, 267, 519, 4009, 540, 476, 32542, 543, 476, 6507, 278, 280, 786, 581, 606, 9642, 1297, 563, 21581, 20861, 338, 1280, 2353, 23527, 454, 268, 2368, 2859, 21624, 18963, 540, 12384, 7089, 0, 1432, 568, 519, 2953, 10259, 585, 670, 2207, 310, 17751, 888, 1607, 2262, 630, 15463, 3118, 264, 949, 581, 4413, 335, 8215, 269, 12989, 596, 666, 1265, 519, 6700, 1913, 799, 649, 3494, 616, 519, 2953, 29745, 585, 1018, 596, 941, 10478, 585, 269, 1403, 596, 4945, 593 ]

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

[ 539, 527, 621, 264, 840, 268, 897, 3518, 1014, 7239, 630, 29592, 476, 14983, 273, 264, 476, 2004, 260, 2919, 607, 540, 27095, 476, 274, 267, 476, 1220, 276, 519, 6433, 540, 519, 14081, 630, 8146, 278, 910, 476, 6942, 278, 264, 5763, 267, 5647, 267, 543, 1158, 1379, 630, 476, 6942, 278, 910, 476, 4489, 274, 563, 763, 2038, 1686, 540, 519, 8087, 2829, 5956, 1279, 1354, 513, 4182, 1572, 968, 1492, 8087, 2829, 892, 3357, 883, 1373, 621, 5956, 609, 519, 6805, 9082, 540, 5087, 269, 901, 15415, 2982, 7819, 1686, 689, 476, 9965, 271, 547, 476, 1001, 276, 267, 609, 6252, 513, 1863, 267, 4557, 8792, 8755, 7260, 18995, 519, 13664, 1686, 540, 519, 8087, 2829, 5313, 5520, 267, 910, 476, 5908, 276, 910, 476, 6942, 278, 910, 8044, 2665, 1354, 18678, 5480, 267, 910, 476, 6642, 274, 1547, 589, 15415, 540, 16646, 281, 476, 5908, 276, 268, 6942, 278, 1686, 476, 14338, 32738, 538, 632, 4895, 27618, 8474, 538, 519, 8087, 2829, 18322, 20964, 563, 7093, 3146, 23728, 776, 2112, 281, 476, 8182, 278, 268, 11260, 278, 5225, 1577, 721, 917, 1018, 596, 1589, 540, 891, 7819, 1686, 9413, 543, 581, 2386, 547, 1331, 1022, 269, 634, 1007, 8513, 5176, 29156, 519, 2450, 540, 519, 8087, 2829, 476, 5197, 275, 267, 19790, 3241, 18720, 5886, 568, 519, 1101, 19052, 7819, 547, 4309, 606, 8956, 776, 4110, 538, 721, 1686, 950, 1647, 12064, 538, 476, 8146, 278, 646, 3587, 519, 1101, 7819, 547, 1685, 1354, 15596, 4619, 18319, 538, 24469, 476, 6942, 278, 267, 519, 476, 3393, 628, 18322, 814, 1614, 3109, 2818, 269, 901, 1837, 12116, 721, 1686, 689, 1354, 24067, 3346, 998, 538, 519, 1818, 281, 513, 1686, 540, 519, 1004, 540, 519, 8087, 2829, 540, 13314, 547, 476, 6942, 278, 269, 20056, 550, 1568, 540, 3140, 5708, 267, 782, 1305, 538, 519, 8087, 2829, 891, 9089, 30712, 513, 942, 1974, 693, 2547, 476, 3374, 268, 2412, 1296, 1354, 741, 8313, 269, 0, 12507, 30496, 543, 2890, 7809, 1557, 267, 1382, 1957, 26771, 543, 2890, 7809, 1357, 3122, 521, 8675, 11225, 26771, 607, 12600, 9562, 998, 3656, 17979, 267, 4971, 540, 3761, 267, 610, 13447, 539, 2962, 12600, 15896, 610, 1852, 513, 20161, 6417, 676, 835, 5428, 269, 9786, 18294, 1557, 2890, 7809, 18294, 281, 513, 1382, 1788, 2094, 922, 27299, 538, 476, 3192, 276, 676, 1071, 27428, 3915, 19235, 543, 533, 4954, 782, 523, 267, 2890, 7809, 18294, 723, 20406, 543, 6385, 1831, 835, 540, 519, 1158, 781, 1034, 3811, 3549, 267, 609, 12478, 10838, 519, 1034, 2518, 269, 9786, 281, 26771, 610, 24041, 17636, 23345, 676, 1775, 327, 919, 1276, 514, 593, 15567, 476, 4962, 267, 476, 1220, 275, 2094, 476, 1960, 271, 267, 513, 6370, 814, 986, 3022, 538, 8087, 2829, 10470, 1063, 519, 8087, 2829, 2229, 543, 519, 2890, 7809, 18294, 18188, 676, 3915, 19235, 563, 3674, 2890, 7809, 513, 26771, 4081, 1557, 538, 513, 9976, 25710, 6412, 2013, 6836, 1282, 476, 1960, 279, 267, 519, 8257, 540, 5126, 9901, 2890, 7809, 18294, 609, 513, 2647, 2039, 540, 4550, 16327, 564, 1438, 2623, 1851, 519, 10997, 1377, 539, 676, 519, 798, 329, 729, 519, 14336, 566, 602, 2890, 7809, 24648, 958, 15985, 1194, 519, 9042, 540, 922, 2890, 7809, 24413, 4950, 11422, 3301, 269, 4340, 547, 1357, 3122, 267, 513, 26771, 568, 519, 12600, 1852, 540, 513, 20161, 610, 3028, 538, 513, 2016, 2344, 2890, 7809, 814, 6913, 741, 4567, 540, 1373, 519, 4102, 3301, 2754, 538, 13314, 676, 2870, 513, 26771, 543, 1210, 15490, 1870, 12485, 269, 1496, 15912, 281, 26771, 27779, 2890, 7809, 3594, 316, 476, 11277, 279, 1913, 630, 3374, 3817, 264, 2178, 3594, 1496, 2181, 1613, 316, 2890, 7809, 281, 9684, 22556, 621, 568, 513, 26771, 1557, 910, 2890, 7809, 281, 9684, 22556, 621, 568, 513, 26771, 1082, 1004, 267, 609, 519, 2229, 616, 3843, 547, 6003, 2890, 7809, 607, 513, 26771, 269, 9786, 607, 513, 26771, 713, 1557, 2890, 7809, 607, 513, 26771, 543, 824, 476, 5038, 267, 1822, 266, 2165, 4574, 267, 2852, 1557, 1806, 543, 1863, 3594, 616, 2139, 1631, 593, 2689, 612, 904, 1260, 1313, 528, 281, 2689, 3040, 949, 476, 2537, 267, 476, 1001, 272, 3040, 1557, 3040, 476, 279, 6246, 1913, 630, 275, 3817, 264, 3040, 476, 278, 4097, 5784, 563, 2750, 1356, 696, 689, 1557, 2433, 2890, 7809, 25710, 6412, 2152, 543, 13753, 26771, 2175, 666, 581, 3989, 676, 606, 5044, 540, 6381, 602, 513, 2754, 666, 1265, 3294, 538, 952, 621, 1281, 711, 723, 1022, 10257, 6735, 269, 7046, 3561, 2630, 568, 606, 1557, 593, 519, 2890, 7809, 26771, 689, 4550, 3594, 267, 707, 2707, 585, 1382, 4574, 267, 3594, 267, 543, 2165, 1957, 1806, 269, 634, 2890, 7809, 26771, 5170, 547, 1711, 513, 2101, 1764, 538, 519, 1158, 540, 3486, 2029, 2890, 7809, 814, 5705, 569, 17332, 922, 1378, 2093, 547, 581, 519, 2104, 540, 2029, 267, 607, 649, 917, 621, 519, 6240, 2344, 538, 799, 713, 568, 513, 4641, 568, 519, 15259, 267, 799, 2890, 7809, 2531, 7149, 609, 513, 31417, 2557, 540, 476, 4817, 260, 476, 277, 1317, 540, 713, 267, 9367, 723, 1100, 563, 3674, 24440, 513, 3020, 26771, 7493, 24440, 568, 24903, 519, 1034, 2442, 3406, 2599, 1031, 593, 519, 4950, 519, 2754, 3091, 9120, 3406, 2164, 543, 5693, 18271, 4600, 609, 5499, 2093, 602, 666, 1832, 519, 2754, 6619, 540, 519, 6735, 269, 7046, 3561, 2630, 568, 606, 1557, 593, 2890, 7809, 610, 26771, 689, 4550, 3594, 267, 707, 2707, 585, 1382, 4574, 267, 3594, 267, 543, 2165, 1957, 1806, 269, 9786, 607, 513, 26771, 3594, 281, 936, 476, 5197, 267, 1822, 2890, 7809, 607, 513, 26771, 3594, 267, 2890, 7809, 607, 513, 26771, 2165, 4574, 267, 2890, 7809, 607, 513, 26771, 1382, 1957, 267, 1433, 5359, 476, 7277, 476, 31275, 3594, 267, 2165, 543, 1382, 4574, 2139, 585, 19957, 1569, 269, 1772, 2890, 7809, 513, 26771, 713, 476, 277, 2985, 1867, 11828, 519, 5929, 4214, 540, 26771, 543, 875, 2890, 7809, 1281, 610, 1281, 711, 3514, 602, 6609, 1759, 593, 2596, 3741, 540, 2890, 31754, 15853, 8638, 476, 275, 2959, 269, 594, 10956, 281, 1018, 2306, 2890, 7809, 513, 26771, 568, 711, 741, 2344, 2671, 621, 568, 2965, 1454, 267, 1454, 12863, 538, 513, 2428, 9917, 961, 281, 621, 781, 602, 741, 3003, 1587, 1899, 26520, 2390, 1533, 11268, 540, 3656, 30049, 625, 540, 5918, 6473, 1572, 5299, 23412, 630, 7474, 781, 1018, 513, 10677, 568, 281, 513, 26771, 593, 519, 5918, 6473, 540, 606, 30608, 971, 607, 3301, 563, 763, 2890, 7809, 26771, 281, 9794, 795, 11055, 779, 4681, 4734, 1100, 3978, 8969, 602, 2890, 7809, 568, 513, 26771, 4534, 602, 568, 267, 602, 621, 19299, 2344, 1379, 538, 519, 2344, 585, 703, 601, 16327, 26702, 5665, 1949, 9794, 795, 11055, 13279, 713, 3932, 593, 1614, 2188, 269, 4828, 593, 562, 4912, 476, 276, 267, 476, 1960, 280, 267, 8664, 9794, 28114, 4050, 7615, 795, 11055, 10294, 835, 540, 519, 3056, 3301, 3549, 538, 519, 1158, 267, 513, 26771, 519, 8087, 2829, 262, 2229, 814, 1018, 616, 1572, 267, 25710, 6412, 4031, 267, 799, 2061, 513, 2754, 689, 2348, 513, 26771, 593, 513, 2344, 519, 721, 9901, 2890, 7809, 609, 19374, 540, 891, 4031, 267, 17548, 602, 789, 941, 555, 23702, 532, 971, 15712, 607, 267, 24437, 3874, 4044, 1807, 269, 901, 5673, 7494, 2390, 1018, 1858, 540, 2890, 7809, 779, 1870, 596, 616, 6998, 827, 538, 930, 2127, 540, 1870, 267, 2890, 7809, 568, 5693, 711, 513, 26771, 585, 1383, 267, 538, 519, 3406, 2599, 1870, 563, 19859, 7809, 607, 513, 26771, 1557, 1250, 2990, 2221, 568, 18445, 547, 596, 267, 707, 8956, 267, 602, 2890, 7809, 814, 1031, 30049, 2065, 2853, 543, 2344, 1379, 547, 6536, 513, 1875, 16327, 564, 1438, 2916, 2687, 547, 1357, 3122, 267, 513, 26771, 568, 519, 12600, 1852, 540, 513, 20161, 610, 3028, 538, 513, 2016, 2344, 269, 9786, 5604, 513, 26771, 1369, 513, 26771, 2890, 7809, 18294, 814, 1614, 2101, 30049, 625, 1369, 3294, 281, 5604, 267, 6885, 779, 267, 543, 4950, 24413, 2890, 7809, 5604, 568, 513, 26771, 602, 18795, 593, 1283, 540, 519, 9486, 26771, 543, 2306, 2724, 269, 968, 332, 2222, 7809, 19299, 630, 663, 585, 1896, 1296, 814, 22234, 264, 26771, 1379, 538, 519, 2344, 585, 2123, 2780, 5665, 1949, 892, 519, 5126, 8257, 10294, 1025, 520, 14688, 538, 476, 2735, 279, 10472, 1957, 786, 4983, 543, 2079, 519, 2601, 1946, 2890, 7809, 568, 513, 26771, 267, 10304, 6286, 607, 513, 26771, 543, 2436, 519, 2229, 6042, 568, 269, 634, 4661, 6069, 602, 952, 2890, 7809, 729, 547, 581, 2808, 513, 26771, 267, 621, 729, 693, 1655, 513, 1875, 18396, 2075, 633, 26771, 1004, 8359, 547, 2196, 2890, 7809, 9486, 593, 741, 5904, 563, 763, 2890, 7809, 26771, 1557, 476, 14444, 274, 1913, 1923, 476, 278, 3817, 519, 2890, 7809, 26771, 1775, 4367, 8087, 2829, 5288, 2890, 7809, 568, 835, 519, 4102, 267, 1034, 11786, 25710, 6412, 4031, 7057, 538, 7819, 1686, 269, 9786, 18294, 267, 476, 26562, 535, 274, 323, 476, 4097, 630, 26501, 4963, 476, 1220, 272, 1070, 568, 513, 721, 25710, 6412, 1876, 2013, 267, 12306, 676, 519, 8257, 540, 5126, 630, 4777, 329, 1070, 538, 799, 519, 2029, 2754, 2890, 7809, 729, 15034, 540, 8066, 513, 26771, 543, 2502, 538, 4550, 16327, 564, 1438, 2853, 14669, 547, 6810, 476, 272, 543, 476, 273, 540, 519, 521, 615, 2006, 25710, 6412, 957, 269, 9786, 26771, 607, 649, 782, 917, 267, 2890, 7809, 2531, 7149, 519, 2123, 2780, 781, 5665, 1062, 3592, 1169, 2780, 538, 3506, 267, 8021, 267, 13646, 267, 543, 1753, 568, 9280, 609, 2901, 9486, 476, 274, 269, 0, 306, 9321, 12519, 8155, 538, 519, 981, 538, 519, 6739, 1893, 281, 1612, 572, 4305, 589, 276, 454, 763, 19618, 1533, 6514, 538, 519, 6739, 1893, 3568, 513, 2243, 538, 519, 1101, 3625, 540, 4247, 267, 519, 2262, 532, 540, 799, 568, 711, 4625, 2312, 547, 1034, 20021, 269, 634, 1268, 1373, 7318, 1590, 3313, 538, 799, 540, 519, 5220, 513, 21342, 5470, 568, 1500, 267, 12077, 267, 519, 4852, 12519, 8155, 616, 26991, 269, 769, 930, 2665, 267, 519, 2626, 568, 6654, 267, 543, 519, 10927, 16022, 569, 23297, 519, 2626, 267, 1759, 593, 519, 834, 684, 10940, 257, 1702, 540, 519, 1893, 269, 8409, 540, 519, 16921, 585, 7247, 519, 1893, 568, 711, 5065, 616, 519, 23698, 267, 543, 789, 3323, 547, 1353, 621, 2663, 982, 519, 1866, 269, 10666, 476, 736, 260, 540, 1346, 7318, 798, 711, 11883, 609, 713, 4305, 19037, 269, 1924, 267, 538, 1931, 547, 2149, 3054, 689, 713, 5470, 538, 519, 15864, 3625, 540, 519, 1133, 1881, 3557, 11929, 910, 851, 589, 267, 596, 991, 547, 6430, 1018, 519, 4852, 12519, 8155, 616, 269, 1677, 798, 713, 267, 596, 1590, 1101, 11291, 513, 6626, 2596, 4214, 563, 1432, 568, 16105, 543, 1018, 568, 519, 1893, 10421, 888, 2414, 2626, 713, 2243, 267, 596, 991, 547, 1491, 513, 2736, 689, 519, 2497, 540, 519, 1893, 3294, 269, 898, 1034, 5702, 20998, 513, 3818, 2000, 599, 1229, 14735, 269, 1703, 616, 1896, 6106, 538, 621, 910, 6810, 267, 519, 1702, 540, 799, 1058, 3514, 2879, 1872, 569, 538, 519, 2875, 781, 2212, 865, 602, 646, 666, 1294, 519, 2462, 4605, 269, 2334, 568, 1946, 267, 2907, 689, 519, 476, 276, 628, 3446, 267, 519, 1353, 540, 519, 1641, 4386, 538, 5933, 269, 5455, 547, 519, 18749, 3446, 267, 607, 513, 4341, 267, 1453, 616, 5189, 547, 19916, 910, 513, 3296, 593, 2694, 540, 4633, 269, 769, 1164, 1153, 267, 811, 16105, 568, 6594, 269, 28900, 267, 824, 6810, 630, 874, 517, 7497, 267, 6863, 267, 2511, 267, 3092, 4700, 3112, 581, 16053, 269, 1809, 1510, 1702, 540, 891, 1079, 834, 3369, 2297, 257, 910, 19916, 543, 16105, 267, 621, 568, 7543, 547, 1174, 519, 8239, 11482, 9155, 2687, 547, 799, 1913, 616, 5916, 883, 6209, 1893, 12415, 616, 2808, 538, 16105, 269, 29941, 543, 2453, 798, 711, 2408, 267, 952, 519, 4559, 540, 799, 789, 616, 7768, 267, 795, 582, 1524, 538, 4351, 1931, 269, 769, 1931, 547, 2769, 513, 1978, 2856, 267, 649, 782, 796, 4621, 19290, 946, 1978, 10409, 4031, 269, 3962, 540, 721, 267, 1247, 1869, 513, 9251, 518, 267, 814, 27058, 519, 1292, 851, 540, 971, 3652, 269, 1280, 1383, 267, 602, 519, 17076, 538, 513, 4845, 568, 1034, 1419, 8612, 676, 513, 2262 ]

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

[ 514, 13239, 9941, 570, 22568, 543, 12472, 779, 7033, 564, 762, 454, 7197, 1004, 3100, 23387, 540, 519, 1249, 602, 267, 538, 2487, 1296, 267, 3744, 723, 11552, 691, 1117, 1082, 21300, 7633, 689, 1472, 519, 1158, 602, 616, 711, 4625, 8093, 1242, 269, 11569, 267, 21300, 7633, 609, 16856, 2571, 267, 8465, 267, 32248, 5160, 1058, 2014, 4720, 1235, 547, 12517, 2243, 741, 3069, 602, 17878, 4682, 17255, 476, 4792, 13807, 639, 2929, 1296, 3516, 563, 3963, 17372, 519, 6520, 540, 519, 3047, 888, 7437, 519, 1296, 267, 1082, 10271, 723, 20402, 519, 2085, 540, 519, 3047, 269, 6496, 621, 2731, 2339, 952, 519, 3047, 568, 5215, 610, 17542, 540, 1296, 2025, 286, 4208, 1281, 621, 2339, 547, 8567, 693, 782, 286, 769, 713, 3381, 267, 18238, 10370, 976, 4267, 891, 2055, 607, 646, 11828, 519, 2956, 540, 13400, 5168, 563, 300, 4275, 3380, 543, 3047, 781, 2561, 1861, 6520, 454, 1692, 2025, 1281, 3047, 2408, 286, 1284, 5781, 6218, 519, 2085, 540, 1004, 267, 2436, 789, 616, 1453, 610, 4079, 267, 610, 2436, 789, 616, 7820, 610, 4587, 982, 649, 616, 269, 1215, 798, 649, 5635, 519, 2085, 540, 3047, 286, 2755, 1082, 25077, 602, 938, 4541, 5526, 547, 581, 1360, 2025, 267, 1100, 835, 814, 2938, 513, 4541, 1106, 610, 1332, 998, 922, 5933, 269, 1772, 972, 513, 3017, 1063, 3047, 779, 7805, 2085, 543, 922, 4890, 2085, 888, 10048, 543, 519, 6520, 540, 519, 3047, 454, 3674, 18495, 513, 3448, 30226, 518, 547, 3047, 286, 13201, 519, 1686, 540, 3047, 1044, 17542, 540, 1296, 540, 1646, 609, 812, 1152, 5063, 513, 851, 540, 602, 15415, 286, 15012, 18238, 10370, 976, 607, 646, 11828, 812, 543, 519, 2085, 540, 519, 3047, 538, 6935, 547, 519, 28868, 2016, 676, 4720, 543, 519, 6426, 563, 290, 516, 566, 281, 17214, 610, 3816, 1228, 888, 2691, 2696, 1500, 519, 1158, 267, 2687, 547, 19606, 476, 272, 543, 476, 273, 267, 729, 621, 7357, 513, 1007, 5137, 610, 729, 621, 1121, 1228, 286, 1879, 31519, 476, 736, 281, 1556, 3081, 834, 514, 3670, 2395, 519, 7083, 1500, 519, 30723, 543, 519, 3618, 2437, 568, 713, 513, 4704, 547, 513, 5137, 689, 4986, 267, 610, 513, 556, 1922, 5831, 532, 602, 7018, 552, 976, 2663, 286, 7427, 2059, 609, 18238, 10370, 976, 607, 646, 11828, 519, 2241, 1913, 543, 2453, 540, 519, 20520, 2272, 563, 763, 4303, 6520, 7869, 454, 288, 2442, 3069, 602, 3096, 1279, 5712, 540, 942, 547, 2491, 519, 13400, 20520, 2272, 568, 1572, 519, 4303, 5025, 613, 7869, 269, 2052, 513, 4168, 3494, 713, 3069, 779, 6811, 286, 6496, 621, 8308, 3514, 1369, 2696, 779, 6478, 286, 769, 713, 3381, 267, 18238, 11828, 713, 3069, 267, 922, 6811, 267, 543, 2488, 513, 2143, 1413, 693, 1018, 23075, 3081, 563, 290, 516, 566, 12411, 639, 12472, 776, 20048, 1108, 454, 2467, 568, 1100, 7521, 602, 2696, 1223, 723, 2813, 519, 17807, 538, 1022, 2179, 540, 942, 543, 538, 1022, 1259, 1261, 5551, 269, 1717, 267, 519, 6426, 2488, 585, 721, 519, 5730, 1931, 538, 799, 2696, 2813, 519, 17807, 267, 607, 2143, 676, 2696, 13924, 1345, 269, 15012, 18238, 10370, 976, 607, 646, 19776, 543, 24716, 519, 5169, 12225, 3098, 13890, 538, 519, 6426, 609, 1346, 2016, 676, 4720, 563, 2691, 9894, 2696, 8073, 519, 6129, 888, 1103, 19606, 267, 649, 1224, 519, 13400, 2272, 540, 519, 17963, 540, 20520, 543, 1294, 602, 2696, 1500, 519, 6129, 593, 1554, 2185, 269, 1717, 267, 607, 1082, 1004, 2119, 547, 954, 332, 1460, 4720, 543, 5137, 267, 513, 14845, 2243, 14340, 281, 1879, 1705, 2696, 1711, 519, 6129, 286, 769, 713, 1982, 267, 18238, 10370, 976, 4267, 713, 2243, 689, 513, 13400, 5133, 543, 2982, 602, 621, 454, 27745, 18972, 5620, 700, 1882, 609, 20550, 14795, 888, 6097, 547, 4720, 267, 17878, 2968, 17255, 936, 476, 2568, 2929, 1296, 3516, 543, 941, 2760, 9800, 693, 519, 1482, 942, 607, 812, 269, 1215, 1281, 713, 6609, 585, 519, 21300, 15415, 6474, 609, 519, 6426, 781, 6609, 540, 2696, 781, 5137, 538, 19606, 286, 21518, 17878, 2813, 2059, 609, 824, 20641, 267, 11864, 543, 5017, 1282, 519, 20520, 10432, 286, 15012, 18238, 10370, 976, 607, 646, 11828, 713, 10578, 2243, 269, 0, 3528, 18637, 2421, 15188, 344, 454, 310, 340, 2098, 564, 1014, 630, 277, 2190, 268, 3583, 276, 264, 729, 3227, 816, 931, 677, 540, 3624, 998, 1200, 7365, 547, 14890, 717, 7776, 345, 784, 267, 543, 2663, 2968, 3227, 816, 9419, 4526, 543, 1036, 550, 585, 1200, 14930, 11809, 784, 345, 784, 543, 22859, 714, 784, 269, 2701, 2663, 2968, 519, 1101, 3227, 816, 1036, 333, 656, 540, 3624, 563, 29820, 538, 519, 590, 747, 10224, 11662, 540, 700, 714, 17924, 547, 18961, 1744, 12011, 826, 543, 15248, 18708, 593, 476, 1704, 5988, 476, 277, 2190, 267, 649, 723, 1100, 2594, 540, 18961, 779, 4332, 2012, 269, 4438, 519, 476, 25953, 338, 267, 607, 513, 21717, 18961, 2098, 564, 1014, 9411, 519, 11440, 19289, 607, 513, 6677, 889, 710, 540, 519, 11359, 7584, 563, 5475, 519, 2669, 540, 519, 14890, 19248, 714, 784, 267, 18961, 2098, 564, 1014, 2968, 513, 562, 684, 540, 519, 14418, 717, 1415, 324, 11454, 269, 1717, 267, 5927, 816, 15651, 267, 519, 7385, 540, 519, 8011, 532, 14890, 717, 7776, 345, 784, 267, 9415, 717, 7776, 345, 784, 779, 1860, 687, 585, 18961, 2098, 564, 1014, 538, 13922, 540, 8420, 5217, 513, 19463, 6677, 889, 710, 267, 2473, 26820, 1744, 340, 10623, 328, 563, 29248, 816, 15651, 779, 1544, 8959, 267, 609, 1312, 9887, 543, 2473, 26820, 1744, 340, 10623, 328, 1373, 1244, 2216, 16172, 1310, 18961, 2098, 564, 1014, 779, 2132, 547, 519, 11440, 19289, 269, 18961, 2098, 564, 1014, 729, 15469, 547, 519, 4567, 540, 968, 4897, 17155, 931, 677, 5608, 543, 2663, 2968, 519, 1007, 3227, 816, 563, 763, 1007, 3227, 816, 9450, 1200, 5121, 267, 11543, 1489, 689, 5640, 543, 2367, 540, 4984, 689, 519, 14418, 543, 667, 7776, 626, 8371, 269, 769, 476, 6924, 274, 267, 717, 7776, 345, 784, 5747, 540, 606, 4576, 543, 729, 16309, 676, 1010, 3791, 5067, 609, 18961, 2098, 564, 1014, 267, 14890, 11809, 784, 345, 784, 267, 2705, 646, 729, 16172, 1244, 2216, 563, 5194, 5067, 267, 1634, 607, 14890, 22859, 714, 784, 630, 337, 269, 476, 6924, 275, 268, 277, 3445, 1070, 16309, 1864, 269, 22859, 714, 784, 4371, 2370, 1379, 267, 609, 18961, 2921, 2407, 1852, 540, 519, 11440, 5480, 269, 769, 476, 277, 3445, 267, 22859, 714, 784, 26857, 1379, 547, 18961, 267, 543, 1352, 3964, 9887, 607, 3227, 816, 1036, 333, 656, 540, 519, 31481, 15913, 563, 310, 340, 779, 12081, 729, 6825, 676, 1200, 946, 540, 5728, 7128, 267, 11440, 8395, 1132, 267, 543, 1200, 7694, 540, 1148, 543, 13513, 267, 7258, 1200, 3909, 20174, 267, 547, 13686, 1200, 6392, 543, 4341, 269, 4173, 4576, 538, 1200, 2663, 1296, 4718, 1249, 1308, 26675, 585, 519, 24288, 547, 519, 17599, 563, 4002, 476, 2641, 5988, 476, 3583, 276, 267, 18961, 3957, 11809, 784, 345, 784, 607, 1036, 550, 267, 543, 519, 1739, 1554, 1352, 8815, 547, 1780, 519, 17599, 547, 11809, 784, 345, 784, 269, 634, 1554, 1310, 713, 6876, 4718, 11809, 784, 345, 784, 18005, 1427, 820, 519, 17599, 267, 609, 18961, 6410, 547, 1744, 836, 344, 836, 19289, 563, 310, 340, 5747, 593, 476, 1626, 5412, 476, 3583, 276, 267, 543, 729, 12617, 609, 14890, 717, 7776, 345, 784, 693, 1627, 1014, 1782, 8575, 639, 1961, 636, 896, 11809, 784, 345, 784, 779, 9753, 269, 4014, 18961, 8547, 519, 31481, 15913, 267, 621, 3459, 543, 8694, 609, 1200, 267, 607, 11809, 784, 345, 784, 779, 1569, 542, 5368, 26061, 519, 19358, 15913, 563, 292, 5894, 2896, 3279, 2051, 5055, 267, 968, 2691, 634, 14890, 568, 589, 19716, 281, 634, 8865, 540, 18961, 2098, 564, 1014, 17276, 511, 355, 31176, 485, 14035, 358, 630, 277, 2190, 268, 3583, 276, 1070, 634, 968, 10387, 15975, 540, 24656, 2223, 538, 589, 12660, 542, 547, 6820, 19803, 1222, 267, 1196, 1421, 4432, 6511, 8381, 21492, 267, 476, 1724, 268, 1839, 630, 8649, 23165, 281, 20211, 28299, 4964, 267, 476, 1001, 279, 994, 301, 269, 16452, 681, 16251, 18876, 267, 18961, 2098, 29697, 281, 3624, 779, 8307, 19716, 14890, 630, 26780, 281, 21942, 267, 476, 1220, 279, 994, 301, 269, 16452, 681, 16251, 18876, 267, 14890, 18961, 2098, 29697, 543, 4173, 23202, 515, 517, 540, 1546, 529, 267, 6555, 514, 885, 267, 543, 667, 2106, 2880, 12624, 338, 630, 6124, 3840, 281, 12052, 2160, 4964, 267, 476, 1001, 276, 1040, 0, 763, 8219, 602, 2186, 267, 20647, 543, 2199, 1125, 4761, 268, 5562, 2281, 616, 24298, 607, 519, 30754, 1505, 269, 901, 2731, 568, 2417, 1016, 323, 22866, 538, 547, 519, 1883, 30754, 4480, 607, 1134, 607, 519, 6281, 30754, 1982, 269, 634, 8219, 540, 707, 1292, 30754, 1982, 6451, 519, 5642, 20768, 543, 555, 2096, 639, 269, 634, 6281, 30754, 1062, 5161, 593, 519, 9726, 334, 788, 527, 16773, 8219, 630, 307, 976, 8759, 5493, 520, 2088, 267, 570, 976, 8759, 943, 18974, 613, 320, 267, 570, 976, 8759, 16321, 807, 267, 570, 976, 8759, 19388, 783, 529, 1070, 519, 29935, 9245, 23938, 30754, 5160, 630, 324, 3052, 269, 631, 3201, 307, 264, 607, 1134, 607, 519, 9726, 648, 6776, 983, 8219, 267, 547, 799, 519, 9726, 9136, 543, 838, 22220, 4866, 950, 21947, 609, 513, 19800, 267, 519, 865, 10777, 4761, 5114, 610, 4761, 3210, 2501, 883, 1198, 269, 898, 5963, 568, 1271, 547, 1174, 602, 519, 4761, 5114, 1152, 9247, 6238, 950, 513, 19800, 936, 3699, 519, 7344, 8825, 7496, 540, 938, 26430, 269, 769, 4915, 267, 519, 2010, 540, 4761, 6547, 568, 2356, 9286, 538, 1899, 609, 1082, 2609, 563, 1103, 519, 8760, 1759, 593, 519, 942, 540, 6454, 267, 513, 11984, 568, 1500, 538, 1063, 519, 17916, 1875, 10391, 543, 519, 13261, 1978, 4761, 5114, 269, 26735, 622, 1875, 10391, 4761, 5114, 10738, 519, 1875, 10391, 4761, 5114, 267, 519, 19800, 568, 7620, 12842, 676, 943, 698, 14231, 543, 10032, 269, 1284, 616, 6158, 827, 865, 10777, 13805, 24975, 943, 698, 26014, 2670, 267, 799, 10838, 824, 2188, 5645, 856, 676, 519, 31457, 543, 11491, 592, 14231, 269, 634, 4611, 15998, 540, 519, 19800, 616, 4843, 585, 519, 2281, 593, 519, 1880, 4761, 8878, 630, 289, 543, 570, 9726, 14231, 264, 630, 3591, 517, 1436, 1040, 11154, 633, 1880, 4761, 3210, 634, 13261, 5730, 4761, 3210, 568, 9859, 1996, 513, 1978, 18970, 538, 519, 26430, 602, 779, 4867, 1634, 547, 519, 1560, 269, 10738, 519, 10408, 8878, 267, 519, 570, 9726, 14231, 616, 3742, 267, 538, 519, 1208, 7394, 8878, 519, 12489, 540, 645, 9726, 14231, 269, 10738, 519, 8317, 540, 513, 3644, 3968, 267, 519, 18970, 1459, 31591, 11118, 25570, 570, 2281, 630, 307, 20740, 2281, 1070, 799, 538, 2490, 6861, 519, 4914, 533, 4815, 2243, 8808, 3584, 1591, 609, 31432, 1231, 543, 11491, 10405, 269, 769, 519, 2013, 538, 519, 5730, 4761, 5114, 267, 513, 11984, 1590, 581, 2813, 1851, 519, 631, 18449, 16927, 543, 631, 18449, 268, 2862, 5114, 3330, 519, 5943, 538, 519, 12830, 2876, 24899, 6312, 2225, 1290, 24128, 630, 300, 18449, 1040, 631, 18449, 616, 7533, 11919, 9245, 5946, 799, 1522, 581, 2565, 1369, 519, 18970, 6881, 689, 519, 4761, 3210, 563, 300, 18449, 16927, 24975, 4761, 3210, 281, 286, 10738, 519, 8317, 540, 513, 3644, 3968, 267, 8290, 22467, 3433, 519, 26430, 2281, 543, 30075, 3940, 23838, 267, 8808, 5115, 7723, 610, 326, 799, 538, 2490, 616, 17146, 547, 519, 631, 18449, 16927, 11140, 269, 7261, 339, 25570, 570, 9726, 14231, 5431, 11941, 3330, 519, 631, 18449, 1950, 543, 6861, 519, 28115, 730, 1591, 269, 631, 18449, 268, 2862, 24975, 4761, 5114, 281, 286, 631, 18449, 268, 2862, 5946, 616, 17479, 1472, 519, 2627, 540, 18970, 1790, 6974, 532, 2281, 543, 949, 1491, 909, 4914, 26898, 883, 519, 1439, 25593, 269, 5221, 540, 713, 267, 15998, 540, 519, 18970, 4283, 519, 631, 18449, 268, 2862, 1950, 267, 602, 568, 6444, 676, 570, 25961, 2281, 269, 634, 570, 25961, 2281, 1287, 20006, 519, 1978, 4179, 2517, 339, 655, 921, 12975, 270, 611, 332, 3827, 270, 12392, 3491, 32216, 4761, 3210, 547, 519, 6444, 18970, 563, 1103, 4915, 267, 621, 5963, 568, 1713, 547, 581, 538, 513, 2990, 547, 16174, 1063, 519, 10408, 7132, 519, 1208, 7394, 4761, 3210, 950, 1362, 4328 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1103, 11894, 267, 13212, 6738, 538, 8832, 26277, 16288, 267, 634, 4563, 7256, 9381, 3148, 634, 6239, 26277, 16288, 543, 8109, 26277, 16288, 267, 1703, 616, 3670, 2186, 540, 13212, 8677, 602, 649, 1683, 547, 938, 5561, 269, 2353, 891, 13212, 1332, 538, 938, 1378, 10651, 269, 1284, 3560, 891, 5863, 13212, 538, 513, 12905, 6073, 547, 8190, 922, 2067, 1145, 543, 4195, 1145, 563, 291, 3072, 4829, 568, 4829, 689, 799, 519, 5354, 540, 519, 3312, 1216, 1543, 814, 1044, 6569, 2901, 6923, 267, 998, 3141, 15018, 267, 610, 998, 519, 946, 540, 7463, 3819, 619, 610, 13204, 21116, 269, 667, 3072, 4829, 814, 513, 1279, 2245, 540, 946, 6580, 1394, 547, 519, 8772, 26992, 7460, 538, 27859, 267, 543, 568, 17028, 7458, 1317, 540, 922, 6653, 6492, 267, 4333, 633, 1871, 267, 543, 1279, 15808, 1272, 269, 11894, 814, 1360, 3638, 3338, 538, 2474, 540, 1332, 12015, 5613, 543, 782, 17580, 10808, 1547, 1520, 2779, 720, 540, 519, 938, 2197, 649, 2709, 547, 938, 5561, 1655, 12015, 5613, 602, 649, 1683, 1142, 1808, 835, 689, 1114, 2244, 851, 540, 519, 11894, 269, 2755, 1655, 6328, 601, 22756, 9428, 538, 3345, 9381, 540, 519, 2197, 267, 16537, 778, 1470, 630, 294, 1794, 5050, 788, 267, 15662, 508, 534, 331, 13799, 584, 17304, 264, 543, 3819, 3284, 878, 1824, 630, 22416, 520, 5984, 264, 814, 513, 8748, 3338, 538, 8828, 26277, 16288, 547, 2709, 519, 1158, 891, 2298, 2472, 563, 290, 527, 6350, 568, 513, 12593, 540, 15496, 4054, 543, 19211, 538, 519, 678, 826, 1920, 267, 31089, 19687, 269, 12518, 538, 519, 12593, 3132, 20521, 5613, 267, 1519, 1271, 7031, 899, 24453, 267, 19790, 976, 267, 18812, 26258, 267, 533, 558, 601, 334, 543, 561, 1307, 269, 634, 1072, 2640, 540, 20521, 5613, 616, 7961, 10179, 762, 543, 1018, 2306, 873, 2027, 568, 602, 6306, 689, 1373, 2635, 267, 789, 616, 8949, 1932, 269, 11894, 814, 1360, 3638, 3338, 538, 2474, 540, 3761, 20521, 5613, 269, 1284, 1683, 547, 938, 5561, 4195, 543, 1655, 2472, 689, 938, 1378, 4677, 267, 1141, 713, 5863, 5613, 1332, 538, 8076, 11335, 851, 540, 519, 2197, 269, 0, 6124, 2090, 1265, 519, 26300, 15362, 28661, 476, 273, 296, 20324, 528, 529, 990, 568, 519, 1034, 834, 1440, 25434, 257, 2479, 4362, 563, 3080, 540, 519, 1152, 26300, 15362, 8436, 2479, 4362, 21986, 532, 938, 9891, 3590, 267, 519, 887, 326, 826, 28661, 476, 273, 331, 20324, 528, 529, 990, 267, 568, 849, 835, 540, 519, 1034, 834, 1440, 25434, 257, 971, 2230, 3615, 2479, 269, 634, 28661, 267, 799, 729, 1101, 19481, 538, 476, 1001, 280, 676, 519, 23153, 21977, 31485, 2637, 333, 8014, 16907, 529, 990, 267, 2693, 2760, 24363, 1932, 2673, 547, 1022, 5182, 1519, 938, 3141, 267, 799, 2451, 922, 5888, 1360, 2147, 547, 875, 621, 729, 2390, 5250, 563, 4467, 1115, 267, 799, 616, 2230, 4703, 1500, 540, 13792, 3154, 267, 4224, 267, 543, 4672, 267, 616, 2356, 12936, 676, 519, 3002, 543, 5982, 789, 7237, 593, 741, 1259, 269, 1548, 781, 10694, 547, 3744, 538, 4974, 635, 1115, 602, 10093, 1405, 4957, 1454, 538, 741, 3076, 564, 1307, 568, 602, 789, 723, 513, 2147, 5888, 547, 519, 3154, 543, 7452, 602, 729, 1459, 693, 519, 5250, 540, 519, 9891, 3590, 476, 275, 269, 276, 5479, 1296, 3516, 269, 22718, 29814, 635, 1115, 666, 1291, 547, 513, 4514, 1620, 540, 519, 9891, 3590, 781, 20297, 543, 4720, 563, 763, 476, 273, 296, 20324, 528, 529, 990, 28661, 568, 1152, 519, 2034, 26300, 15362, 1843, 2479, 1336, 538, 938, 9891, 3590, 269, 634, 1101, 835, 729, 476, 272, 296, 270, 262, 302, 636, 340, 600, 7699, 267, 9571, 538, 476, 1001, 278, 563, 763, 1007, 1353, 267, 1759, 593, 7422, 689, 519, 3864, 8828, 25076, 781, 15020, 14066, 23571, 630, 2464, 302, 781, 966, 299, 307, 264, 538, 16266, 267, 729, 3366, 676, 853, 1030, 8457, 645, 1725, 25222, 540, 519, 14022, 27895, 25076, 543, 14136, 10740, 538, 8832, 8581, 563, 257, 273, 296, 20324, 528, 529, 990, 1223, 2099, 519, 1101, 5963, 29814, 28661, 2479, 4767, 2437, 1767, 645, 1725, 25222, 563, 763, 476, 273, 296, 20324, 528, 529, 990, 26300, 15362, 28661, 9676, 609, 519, 966, 299, 307, 5861, 13072, 281, 2464, 302, 23860, 269, 670, 664, 2246, 454, 2026, 4080, 538, 7186, 18058, 267, 1010, 2319, 1031, 513, 4480, 1572, 8701, 574, 4479, 267, 799, 3800, 519, 26445, 540, 1769, 267, 547, 1353, 519, 2230, 1560, 269, 901, 5280, 519, 2319, 5635, 476, 273, 296, 20324, 528, 529, 990, 547, 824, 2199, 635, 1115, 269, 634, 3601, 540, 519, 1007, 28661, 941, 3833, 1114, 689, 1866, 789, 1336, 538, 519, 9891, 3590, 267, 4849, 585, 670, 1446, 5174, 31463, 267, 513, 28661, 4362, 538, 476, 1960, 276, 799, 568, 849, 2808, 1360, 29814, 563, 763, 1353, 781, 1071, 27236, 19499, 1729, 8426, 3626, 689, 519, 8330, 5268, 9713, 25076, 540, 8776, 3626, 267, 7977, 267, 29499, 2390, 713, 4276, 267, 8452, 693, 676, 7421, 26445, 2059, 609, 519, 28661, 781, 2681, 912, 10454, 1249, 602, 519, 1079, 635, 1115, 616, 26526, 2147, 5267, 602, 519, 1604, 538, 799, 476, 273, 296, 20324, 528, 529, 990, 12090, 568, 711, 865, 1114, 538, 5888, 689, 519, 1604, 538, 519, 2038, 9891, 3590, 1701, 563, 1103, 513, 4241, 12162, 547, 1175, 875, 3532, 3047, 781, 1283, 24985, 723, 1831, 267, 1776, 1305, 540, 11536, 302, 3173, 3370, 513, 1114, 1353, 538, 7186, 18395, 593, 519, 28661, 781, 5888, 1210, 1239, 689, 519, 2311, 659, 4821, 14066, 7085, 9014, 4882, 889, 17524, 9014, 26275, 630, 3201, 7246, 1040, 901, 2319, 267, 3366, 676, 31485, 23642, 18708, 267, 729, 2111, 547, 5531, 1082, 10881, 827, 476, 273, 296, 20324, 528, 529, 990, 781, 17539, 689, 922, 635, 320, 1107, 519, 23508, 540, 7452, 4478, 621, 269, 18738, 519, 635, 320, 267, 789, 4362, 11741, 890, 6277, 956, 267, 9274, 1472, 835, 1984, 9014, 538, 2450, 269, 1358, 1223, 849, 2995, 602, 519, 3448, 5666, 540, 3327, 24785, 543, 1216, 538, 519, 28661, 4957, 3648, 607, 621, 3357, 6251, 547, 519, 6129, 563, 1607, 8612, 547, 873, 602, 519, 2326, 538, 519, 28661, 3357, 689, 1114, 4025, 538, 519, 26355, 269, 17460, 538, 519, 28661, 781, 1753, 5182, 1062, 729, 2693, 6404, 538, 513, 20559, 1043, 4806, 602, 1644, 547, 875, 2484, 519, 28661, 729, 689, 922, 5182, 267, 1336, 519, 3744, 269, 901, 729, 7654, 4299, 676, 519, 4527, 540, 9649, 10785, 267, 799, 13489, 1042, 909, 2326, 538, 741, 1062, 998, 2178, 8904, 269, 13562, 12002, 1589, 713, 2186, 540, 1184, 849, 3576, 1747, 538, 519, 2038, 1974, 540, 519, 9891, 3590, 781, 1272, 563, 257, 5331, 875, 18822, 649, 941, 602, 513, 28661, 689, 513, 1062, 1769, 26188, 2476, 3274, 3576, 513, 7552, 547, 938, 7450, 21163, 676, 4960, 2437, 6376, 539, 18708, 563, 1103, 476, 1708, 280, 267, 519, 3864, 6611, 10837, 4566, 547, 10131, 519, 1290, 564, 3955, 1061, 528, 1788, 602, 1131, 1450, 3744, 547, 1353, 635, 1115, 602, 3432, 998, 938, 9891, 3590, 609, 1256, 3152, 8856, 563, 4462, 1652, 596, 1544, 547, 2119, 1586, 538, 476, 277, 267, 8517, 1296, 267, 713, 3018, 568, 707, 8929, 563, 268, 1290, 564, 17252, 8582, 30990, 786, 581, 1034, 7298, 538, 519, 772, 2529, 269, 1282, 519, 1256, 902, 689, 5147, 476, 1691, 268, 866, 267, 476, 1708, 271, 563, 268, 2991, 5147, 476, 2537, 6113, 267, 17252, 8582, 30990, 786, 581, 7298, 1152, 998, 1434, 10822, 22811, 338, 543, 24985, 563, 268, 6733, 538, 519, 32720, 6607, 2630, 519, 8262, 667, 23124, 1310, 546, 23677, 1247, 972, 781, 513, 4960, 563, 308, 11520, 12442, 281, 8331, 568, 31076, 513, 8331, 3163, 14970, 12558, 10223, 1290, 564, 17252, 8582, 30990, 269, 8331, 4966, 786, 1865, 543, 2626, 1857, 2055, 4098, 693, 476, 274, 15014, 29643, 593, 13723, 267, 5147, 476, 1428, 269, 570, 2317, 538, 3842, 519, 8116, 781, 3896, 267, 9365, 14970, 267, 13334, 267, 3131, 4593, 2100, 267, 21912, 1103, 267, 3828, 3558, 267, 610, 2475, 307, 3918, 4456, 563, 6524, 2063, 10543, 267, 5147, 476, 1691, 267, 476, 1708, 271, 267, 519, 15864, 1259, 547, 1294, 1290, 564, 17252, 8582, 30990, 2443, 519, 6505, 652, 28661, 547, 24680, 2250, 3047, 2094, 476, 3192, 278, 781, 1290, 564, 670, 1446, 5174, 31463, 2443, 689, 519, 2136, 2276, 729, 547, 6952, 621, 827, 606, 5662, 1354, 3141, 23438, 269, 3767, 267, 2705, 267, 596, 666, 1294, 621, 538, 519, 10543, 267, 1141, 621, 786, 2611, 585, 2394, 519, 476, 866, 628, 269, 901, 568, 513, 17386, 1810, 1405, 2173, 1170, 2680, 2443, 17252, 8582, 30990, 4465, 1405, 581, 4947, 1394, 938, 1259, 585, 1776, 476, 277, 267, 8517, 1296, 269, 898, 781, 519, 1101, 2101, 28661, 540, 519, 26992, 267, 543, 676, 782, 6589, 267, 621, 781, 20605, 563, 20911, 8582, 30990, 1175, 3893, 1394, 689, 519, 6129, 454, 290, 2210, 17252, 8582, 30990, 568, 3957, 1310, 519, 8331, 18342, 2230, 16263, 602, 1101, 19481, 621, 593, 4728, 476, 2767, 628, 269, 4706, 4013, 1395, 32304, 568, 595, 270, 1708, 271, 674, 274, 269, 898, 781, 6059, 602, 519, 476, 5390, 28661, 568, 827, 1614, 5195, 2066, 267, 711, 10203, 922, 2766, 563, 20911, 8582, 30990, 568, 1631, 16144, 2476, 689, 938, 6129, 267, 2348, 1500, 621, 5008, 564, 1935, 267, 476, 2767, 269, 275, 2929, 5195, 267, 547, 938, 5182, 593, 5147, 476, 274, 269, 634, 3002, 689, 602, 7237, 568, 1018, 781, 2016, 17252, 8582, 30990, 922, 2766, 281, 898, 3361, 3154, 543, 7452, 547, 581, 5950, 689, 519, 476, 5390, 1843, 267, 2870, 519, 2766, 540, 11935, 602, 5654, 865, 9589, 689, 1934, 563, 2026, 17252, 8582, 30990, 7575, 6251, 547, 3047, 267, 19433, 1227, 267, 621, 786, 581, 1447, 543, 1447, 7298, 269, 1635, 827, 5147, 476, 2537, 6113, 267, 596, 3513, 991, 10822, 22811, 338, 610, 513, 16263, 547, 1294, 621, 693, 782, 269, 2353, 540, 799, 2306, 713, 3018, 6305, 942, 563, 2304, 10543, 10508, 454, 15862, 2707, 281, 1325, 2716, 343, 663, 541, 270, 4537, 13616, 18450, 270, 19136, 6056, 454, 5575, 267, 1265, 606, 796, 984, 560, 1192, 539, 2070, 540, 519, 22070, 6607, 267, 1863, 540, 8265, 7547, 267, 1286, 2212, 7547, 267, 19887, 8279, 267, 543, 865, 593, 269, 1656, 1287, 267, 2687, 547, 21708, 1299, 23571, 912, 257, 9359, 3168, 827, 835, 5662, 1310, 23863, 267, 950, 596, 3513, 1265, 621, 1175, 936, 519, 32720, 16880, 607, 519, 2063, 540, 1000, 559, 697, 535, 3547, 883, 14334, 4799, 2005, 1058, 581, 2653, 547, 5544, 2094, 621, 781, 2282, 547, 835, 540, 519, 1034, 25992, 20035, 725, 909, 972, 267, 519, 8262, 667, 23124, 269, 834, 16100, 827, 1614, 535, 1235, 2630, 519, 5377, 540, 519, 8262, 667, 23124, 267, 799, 568, 16304, 1524, 676, 922, 6023, 1164, 1657, 267, 543, 689, 972, 5310, 513, 2370, 547, 519, 1318, 1701, 18264, 642, 11798, 14504, 281, 1290, 564, 17252, 8582, 30990, 563, 306, 904, 21708, 1299, 23571, 781, 667, 10005, 30567, 1731, 664, 523, 267, 834, 16100, 585, 513, 25861, 267, 27967, 2370, 1412, 28588, 262, 609, 513, 535, 664, 614, 267, 8034, 3960, 1512, 2370, 2766, 14178, 16057, 689, 621, 4799, 763, 28661, 1058, 581, 7298, 609, 519, 21736, 3750, 267, 1498, 10822, 22811, 338, 543, 513, 2241, 16263, 949, 7866, 811, 1469, 563, 2791, 949, 849, 581, 2111, 547, 26882, 513, 8666, 540, 713, 2027, 21233, 267, 1498, 596, 3513, 991, 519, 1318, 10591, 547, 798, 865, 269, 589, 6131, 8254, 568, 811, 2693, 547, 7001, 513, 1434, 8929, 982, 513, 15146, 267, 855, 538, 2901, 2013, 267, 596, 3513, 991, 513, 7552, 617, 610, 930, 824, 1797, 540, 8066, 519, 8254, 4666, 1869, 607, 621, 3217, 513, 31764, 4598, 540, 1896, 7643, 630, 2254, 782, 11436, 666, 798, 713, 1916, 1432, 4523, 1310, 513, 5230, 28661, 7594, 888, 268, 589, 28661, 7472, 543, 6397, 23292, 552, 20287, 540, 4672, 267, 7452, 267, 543, 3154, 563, 268, 8331, 781, 570, 8577, 15408, 19306, 519, 2898, 3364, 676, 8009, 563, 268, 634, 834, 10767, 335, 257, 949, 723, 2451, 513, 28188, 476, 4792, 3952, 2066, 269, 2334, 781, 3833, 513, 3276, 335, 563, 2691, 8331, 8036, 741, 3690, 1746, 1401, 26979, 564, 11752, 31420, 267, 589, 25605, 570, 8577, 267, 693, 1290, 564, 476, 5379, 303, 270, 310, 7398, 534, 523, 267, 789, 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 ]

[ 476, 5038, 273, 276, 267, 476, 5038, 273, 276, 267, 476, 5038, 273, 277, 267, 476, 5038, 273, 277, 267, 476, 5038, 273, 278, 267, 476, 5038, 273, 278, 267, 476, 5038, 273, 279, 267, 476, 5038, 273, 279, 267, 476, 5038, 273, 280, 267, 476, 5038, 273, 280, 267, 476, 5038, 274, 271, 267, 476, 5038, 274, 271, 267, 476, 5038, 274, 272, 267, 476, 5038, 274, 272, 267, 476, 5038, 274, 273, 267, 476, 5038, 274, 273, 267, 476, 5038, 274, 274, 267, 476, 5038, 274, 274, 267, 476, 5038, 274, 275, 267, 476, 5038, 274, 275, 267, 476, 5038, 274, 276, 267, 476, 5038, 274, 276, 267, 476, 5038, 274, 277, 267, 476, 5038, 274, 277, 267, 476, 5038, 274, 278, 267, 476, 5038, 274, 278, 267, 476, 5038, 274, 279, 267, 476, 5038, 274, 279, 267, 476, 5038, 274, 280, 267, 476, 5038, 274, 280, 267, 476, 277, 4510, 271, 267, 476, 277, 4510, 271, 267, 476, 277, 4510, 272, 267, 476, 277, 4510, 272, 267, 476, 277, 4510, 273, 267, 476, 277, 4510, 273, 267, 476, 277, 4510, 274, 267, 476, 277, 4510, 274, 267, 476, 277, 4510, 275, 267, 476, 277, 4510, 275, 267, 476, 277, 4510, 276, 267, 476, 277, 4510, 276, 267, 476, 277, 4510, 277, 267, 476, 277, 4510, 277, 267, 476, 277, 4510, 278, 267, 476, 277, 4510, 278, 267, 476, 277, 4510, 279, 267, 476, 277, 4510, 279, 267, 476, 277, 4510, 280, 267, 476, 277, 4510, 280, 267, 476, 277, 3393, 271, 267, 476, 277, 3393, 271, 267, 476, 277, 3393, 272, 267, 476, 277, 3393, 272, 267, 476, 277, 3393, 273, 267, 476, 277, 3393, 273, 267, 476, 277, 3393, 274, 267, 476, 277, 3393, 274, 267, 476, 277, 3393, 275, 267, 476, 277, 3393, 275, 267, 476, 277, 3393, 276, 267, 476, 277, 3393, 276, 267, 476, 277, 4375, 278, 267, 476, 277, 4375, 279, 267, 476, 277, 4375, 280, 267, 476, 25953, 271, 267, 476, 25953, 272, 267, 476, 25953, 273, 267, 476, 25953, 274, 267, 476, 25953, 275, 267, 476, 25953, 276, 267, 476, 25953, 277, 267, 476, 25953, 278, 267, 476, 277, 4375, 277, 267, 476, 277, 3393, 277, 267, 476, 277, 3393, 278, 267, 476, 277, 3393, 279, 267, 476, 277, 3393, 280, 267, 476, 5038, 277, 271, 267, 476, 5038, 277, 272, 267, 476, 5038, 277, 273, 267, 476, 5038, 277, 274, 267, 476, 5038, 277, 275, 267, 476, 5038, 277, 276, 267, 476, 5038, 277, 277, 267, 476, 5038, 277, 278, 267, 476, 5038, 278, 271, 267, 476, 5038, 278, 271, 267, 476, 5038, 278, 272, 267, 476, 5038, 278, 272, 267, 476, 5038, 278, 273, 267, 476, 5038, 278, 273, 267, 476, 5038, 278, 274, 267, 476, 5038, 278, 274, 267, 476, 5038, 278, 275, 267, 476, 5038, 278, 275, 267, 476, 5038, 278, 276, 267, 476, 5038, 278, 276, 267, 476, 5038, 278, 277, 267, 476, 5038, 278, 277, 267, 476, 5038, 278, 278, 267, 476, 5038, 278, 278, 267, 476, 5038, 278, 279, 267, 476, 5038, 278, 279, 267, 476, 5038, 278, 280, 267, 476, 5038, 278, 280, 267, 476, 277, 4366, 271, 267, 476, 277, 4366, 271, 267, 476, 277, 4366, 272, 267, 476, 277, 4366, 272, 267, 476, 277, 4366, 273, 267, 476, 277, 4366, 273, 267, 476, 277, 4366, 274, 267, 476, 277, 4366, 274, 267, 476, 277, 4366, 275, 267, 476, 277, 4366, 275, 267, 476, 277, 4366, 276, 267, 476, 277, 4366, 276, 267, 476, 277, 4366, 277, 267, 476, 277, 4366, 277, 267, 476, 277, 4366, 278, 267, 476, 277, 4366, 278, 267, 476, 277, 4366, 279, 267, 476, 277, 4366, 279, 267, 476, 277, 4366, 280, 267, 476, 277, 4366, 280, 267, 476, 5038, 280, 271, 267, 476, 5038, 280, 271, 267, 476, 5038, 280, 272, 267, 476, 5038, 280, 272, 267, 476, 5038, 280, 273, 267, 476, 5038, 280, 273, 267, 476, 5038, 280, 274, 267, 476, 5038, 280, 274, 267, 476, 5038, 280, 275, 267, 476, 5038, 280, 275, 267, 476, 5038, 280, 276, 267, 476, 5038, 280, 276, 267, 476, 5038, 280, 277, 267, 476, 5038, 280, 277, 267, 476, 5038, 280, 278, 267, 476, 5038, 280, 278, 267, 476, 5038, 280, 279, 267, 476, 5038, 280, 279, 267, 476, 5038, 280, 280, 267, 476, 5038, 280, 280, 267, 476, 20981, 271, 267, 476, 20981, 271, 267, 476, 20981, 272, 267, 476, 20981, 272, 267, 476, 20981, 273, 267, 476, 20981, 273, 267, 476, 20981, 274, 267, 476, 20981, 274, 267, 476, 20981, 275, 267, 476, 20981, 275, 267, 476, 20981, 276, 267, 476, 20981, 276, 267, 476, 20981, 277, 267, 476, 20981, 277, 267, 476, 20981, 278, 267, 476, 20981, 278, 267, 476, 20981, 279, 267, 476, 20981, 279, 267, 476, 20981, 280, 267, 476, 20981, 280, 267, 476, 4792, 272, 271, 267, 476, 4792, 272, 271, 267, 476, 4792, 272, 272, 267, 476, 4792, 272, 272, 267, 476, 4792, 272, 273, 267, 476, 4792, 272, 273, 267, 476, 4792, 272, 274, 267, 476, 4792, 272, 274, 267, 476, 4792, 272, 275, 267, 476, 4792, 272, 275, 267, 476, 4792, 272, 276, 267, 476, 4792, 272, 276, 267, 476, 4792, 272, 277, 267, 476, 4792, 272, 277, 267, 476, 4792, 272, 278, 267, 476, 4792, 272, 278, 267, 476, 4792, 272, 279, 267, 476, 4792, 272, 279, 267, 476, 4792, 272, 280, 267, 476, 4792, 272, 280, 267, 476, 4792, 273, 271, 267, 476, 4792, 273, 271, 267, 476, 4792, 273, 272, 267, 476, 4792, 273, 272, 267, 476, 4792, 273, 273, 267, 476, 4792, 273, 273, 267, 476, 4792, 273, 274, 267, 476, 4792, 273, 274, 267, 476, 4792, 273, 275, 267, 476, 4792, 273, 275, 267, 476, 4792, 273, 276, 267, 476, 4792, 273, 276, 267, 476, 4792, 273, 277, 267, 476, 4792, 273, 277, 267, 476, 4792, 273, 278, 267, 476, 4792, 273, 278, 267, 476, 4792, 273, 279, 267, 476, 4792, 273, 279, 267, 476, 4792, 273, 280, 267, 476, 4792, 273, 280, 267, 476, 5038, 278, 272, 267, 476, 5038, 278, 273, 267, 476, 5038, 278, 274, 267, 476, 5038, 278, 275, 267, 476, 5038, 278, 276, 267, 476, 5038, 278, 277, 267, 476, 5038, 278, 278, 267, 476, 5038, 278, 279, 267, 476, 5038, 278, 280, 267, 476, 277, 4366, 271, 267, 476, 277, 4366, 272, 267, 476, 5038, 278, 271, 267, 476, 4792, 274, 271, 267, 476, 4792, 274, 272, 267, 476, 4792, 274, 273, 267, 476, 4792, 274, 274, 267, 476, 4792, 274, 275, 267, 476, 4792, 274, 276, 267, 476, 4792, 274, 277, 267, 476, 4792, 274, 278, 267, 476, 4792, 274, 279, 267, 476, 4792, 274, 280, 267, 476, 4792, 275, 271, 267, 476, 4792, 275, 272, 267, 476, 4792, 275, 275, 267, 476, 4792, 275, 275, 267, 476, 4792, 275, 276, 267, 476, 4792, 275, 276, 267, 476, 4792, 275, 277, 267, 476, 4792, 275, 277, 267, 476, 4792, 275, 278, 267, 476, 4792, 275, 278, 267, 476, 4792, 275, 279, 267, 476, 4792, 275, 279, 267, 476, 4792, 275, 280, 267, 476, 4792, 275, 280, 267, 476, 277, 4649, 271, 267, 476, 277, 4649, 271, 267, 476, 277, 4649, 272, 267, 476, 277, 4649, 272, 267, 476, 277, 4649, 273, 267, 476, 277, 4649, 273, 267, 476, 277, 4649, 274, 267, 476, 277, 4649, 274, 267, 476, 277, 4649, 275, 267, 476, 277, 4649, 275, 267, 476, 277, 4649, 276, 267, 476, 277, 4649, 276, 267, 476, 277, 4649, 277, 267, 476, 277, 4649, 277, 267, 476, 277, 4649, 278, 267, 476, 277, 4649, 278, 267, 476, 277, 4649, 279, 267, 476, 277, 4649, 279, 267, 476, 277, 4649, 280, 267, 476, 277, 4649, 280, 267, 476, 4792, 277, 271, 267, 476, 4792, 277, 271, 267, 476, 4792, 277, 272, 267, 476, 4792, 277, 272, 267, 476, 4792, 277, 273, 267, 476, 4792, 277, 273, 267, 476, 4792, 277, 274, 267, 476, 4792, 277, 274, 267, 476, 4792, 277, 275, 267, 476, 4792, 277, 275, 267, 476, 4792, 277, 276, 267, 476, 4792, 277, 276, 267, 476, 4792, 277, 277, 267, 476, 4792, 277, 277, 267, 476, 4792, 277, 278, 267, 476, 4792, 277, 278, 267, 476, 4792, 277, 279, 267, 476, 4792, 277, 279, 267, 476, 4792, 277, 280, 267, 476, 4792, 277, 280, 267, 476, 4792, 278, 271, 267, 476, 4792, 278, 271, 267, 476, 4792, 278, 272, 267, 476, 4792, 278, 272, 267, 476, 4792, 278, 273, 267, 476, 4792, 278, 273, 267, 476, 4792, 278, 274, 267, 476, 4792, 278, 274, 267, 476, 4792, 278, 275, 267, 476, 4792, 278, 275, 267, 476, 4792, 278, 276, 267, 476, 4792, 278, 276, 267, 476, 4792, 278, 277, 267, 476, 4792, 278, 277, 267, 476, 4792, 278, 278, 267, 476, 4792, 278, 278, 267, 476, 4792, 278, 279, 267, 476, 4792, 278, 279, 267, 476, 4792, 278, 280, 267, 476, 4792, 278, 280, 267, 476, 4792, 279, 271, 267, 476, 4792, 279, 271, 267, 476, 4792, 279, 272, 267, 476, 4792, 279, 272, 267, 476, 4792, 279, 273, 267, 476, 4792, 279, 273, 267, 476, 4792, 279, 274, 267, 476, 4792, 279, 274, 267, 476, 4792, 279, 275, 267, 476, 4792, 279, 275, 267, 476, 4792, 279, 276, 267, 476, 4792, 279, 276, 267, 476, 4792, 279, 277, 267, 476, 4792, 279, 277, 267, 476, 4792, 279, 278, 267, 476, 4792, 279, 278, 267, 476, 4792, 279, 279, 267, 476, 4792, 279, 279, 267, 476, 4792, 279, 280, 267, 476, 4792, 279, 280, 267, 476, 4792, 280, 271, 267, 476, 4792, 280, 271, 267, 476, 4792, 280, 272, 267, 476, 4792, 280, 272, 267, 476, 4792, 280, 273, 267, 476, 4792, 280, 273, 267, 476, 4792, 280, 274, 267, 476, 4792, 280, 274, 267, 476, 4792, 280, 275, 267, 476, 4792, 280, 275, 267, 476, 4792, 280, 276, 267, 476, 4792, 280, 276, 267, 476, 4792, 280, 277, 267, 476, 4792, 280, 277, 267, 476, 4792, 280, 278, 267, 476, 4792, 280, 278, 267, 476, 4792, 280, 279, 267, 476, 4792, 280, 279, 267, 476, 4792, 280, 280, 267, 476, 4792, 280, 280, 267, 476, 32133, 271, 267, 476, 32133, 271, 267, 476, 32133, 272, 267, 476, 32133, 272, 267, 476, 32133, 273, 267, 476, 32133, 273, 267, 476, 32133, 274, 267, 476, 32133, 274, 267, 476, 4792, 275, 276, 267, 476, 4792, 275, 277, 267, 476, 4792, 275, 278, 267, 476, 4792, 275, 279, 267, 476, 4792, 275, 280, 267, 476, 277, 4649, 271, 267, 476, 277, 4649, 272, 267, 476, 277, 4649, 273, 267, 476, 277, 4649, 274, 267, 476, 277, 4649, 275, 267, 476, 277, 4649, 276, 267, 476, 4792, 275, 275, 267, 476, 32133, 275, 267, 476, 32133, 276, 267, 476, 32133, 277, 267, 476, 32133, 278, 267, 476, 32133, 279, 267, 476, 32133, 280, 267, 476, 5780, 272, 271, 267, 476, 5780, 272, 272, 267, 476, 5780, 272, 273, 267, 476, 5780, 272, 274, 267, 476, 5780, 272, 275, 267, 476, 5780, 272, 276, 267, 476, 5780, 272, 279, 267, 476, 5780, 272, 279, 267, 476, 5780, 272, 280, 267, 476, 5780, 272, 280, 267, 476, 5780, 273, 271, 267, 476, 5780, 273, 271, 267, 476, 5780, 273, 272, 267, 476, 5780, 273, 272, 267, 476, 5780, 273, 273, 267, 476, 5780, 273, 273, 267, 476, 5780, 273, 274, 267, 476, 5780, 273, 274, 267, 476, 5780, 273, 275, 267, 476, 5780, 273, 275, 267, 476, 5780, 273, 276, 267, 476, 5780, 273, 276, 267, 476, 5780, 273, 277, 267, 476, 5780, 273, 277, 267, 476, 5780, 273, 278, 267, 476, 5780, 273, 278, 267, 476, 5780, 273, 279, 267, 476, 5780, 273, 279, 267, 476, 5780, 273, 280, 267, 476, 5780, 273, 280, 267, 476, 5780, 274, 271, 267, 476, 5780, 274, 271, 267, 476, 5780, 274, 272, 267, 476, 5780, 274, 272, 267, 476, 5780, 274, 273, 267, 476, 5780, 274, 273, 267, 476, 5780, 274, 274, 267, 476, 5780, 274, 274, 267, 476, 5780, 274, 275, 267, 476, 5780, 274, 275, 267, 476, 5780, 274, 276, 267, 476, 5780, 274, 276, 267, 476, 5780, 274, 277, 267, 476, 5780, 274, 277, 267, 476, 5780, 274, 278, 267, 476, 5780, 274, 278, 267, 476, 5780, 274, 279, 267, 476, 5780, 274, 279, 267, 476, 5780, 274, 280, 267, 476, 5780, 274, 280, 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 ]

[ 267, 519, 1826, 540, 1085, 10008, 2670, 267, 543, 538, 6690, 267, 2436, 519, 3461, 814, 3323, 547, 14108, 622, 269, 1403, 4376, 4422, 4636, 607, 649, 1332, 1141, 519, 11983, 10260, 543, 13285, 666, 1406, 1332, 607, 3728, 630, 553, 2106, 28942, 5778, 268, 657, 572, 748, 1646, 264, 649, 666, 7237, 713, 8229, 8082, 1966, 269, 476, 278, 267, 279, 267, 1452, 22775, 885, 607, 1134, 607, 519, 12636, 3395, 5488, 982, 519, 11983, 10260, 14672, 12883, 723, 2965, 1044, 4080, 538, 3621, 543, 2564, 2090, 269, 901, 18761, 27492, 2990, 2636, 519, 981, 10719, 547, 2638, 585, 22441, 538, 519, 12636, 267, 585, 606, 9402, 1560, 28550, 547, 519, 2451, 610, 1318, 267, 610, 585, 835, 13105, 16405, 602, 568, 6659, 2362, 982, 519, 824, 269, 1284, 1265, 1256, 811, 2963, 5885, 713, 2856, 607, 519, 7887, 22775, 885, 2049, 2673, 547, 519, 30085, 540, 519, 1085, 10008, 2670, 7455, 267, 1247, 513, 512, 832, 542, 630, 320, 24364, 3196, 264, 729, 4767, 799, 568, 2693, 519, 2110, 14121, 697, 11983, 10260, 476, 1626, 269, 1717, 267, 23648, 1974, 14754, 519, 5207, 2208, 2557, 540, 519, 2560, 1452, 2067, 14258, 2990, 519, 2212, 936, 519, 10652, 6665, 543, 960, 607, 8710, 4726, 1499, 547, 15814, 7344, 2566, 1282, 3350, 269, 589, 2013, 1867, 267, 18897, 25714, 1085, 10008, 2670, 543, 11658, 8405, 5163, 269, 8564, 835, 610, 811, 3377, 24393, 547, 3136, 269, 1306, 1082, 2021, 786, 2995, 596, 267, 713, 3942, 540, 707, 1272, 666, 1118, 596, 1745, 538, 31261, 543, 11821, 1256, 1510, 519, 3773, 28658, 540, 513, 17208, 12636, 269, 1261, 4767, 602, 519, 11983, 12324, 729, 593, 3328, 476, 1691, 260, 10156, 982, 621, 1058, 723, 1044, 267, 855, 9338, 12569, 8068, 602, 875, 2110, 621, 729, 568, 1644, 547, 519, 2450, 540, 519, 1085, 10008, 2670, 7455, 267, 855, 1256, 811, 865, 729, 1644, 547, 875, 1454, 10047, 1185, 7018, 476, 278, 269, 13555, 707, 1126, 781, 4387, 585, 513, 9488, 981, 952, 596, 5469, 602, 707, 1126, 814, 1022, 4191, 540, 1085, 10008, 2670, 610, 952, 606, 9402, 7455, 538, 519, 12636, 729, 9571, 1282, 513, 1153, 9584, 1982, 269, 5291, 2517, 4178, 31892, 10008, 2670, 3820, 28918, 2755, 1085, 10008, 2670, 666, 581, 3361, 676, 2175, 971, 607, 19548, 25097, 344, 543, 16757, 30484, 15577, 267, 519, 2014, 540, 1034, 1085, 10008, 2670, 568, 7164, 269, 2480, 10008, 2670, 568, 513, 15400, 2783, 602, 2356, 5956, 538, 6689, 610, 18273, 269, 1656, 1247, 596, 1522, 1589, 267, 968, 15124, 267, 3214, 786, 2253, 1319, 1005, 31218, 769, 3665, 2665, 602, 2154, 6391, 267, 519, 3461, 2356, 973, 13569, 3533, 269, 634, 2856, 602, 513, 9395, 610, 2110, 11983, 10260, 543, 8229, 8082, 1223, 581, 519, 6117, 3196, 610, 3597, 2014, 3297, 7329, 11340, 987, 545, 1085, 10008, 2670, 568, 4986, 1007, 269, 21474, 547, 2333, 5642, 2527, 543, 7794, 7633, 267, 1519, 3478, 2614, 7513, 543, 6171, 667, 267, 3257, 2834, 2597, 24481, 3635, 267, 543, 267, 2921, 5642, 20671, 6527, 949, 948, 547, 2061, 2665, 3361, 676, 11983, 18655, 269, 15380, 267, 2550, 3247, 9849, 25329, 950, 741, 7633, 3247, 3395, 1310, 23648, 269, 10251, 267, 713, 568, 849, 950, 1034, 1762, 6690, 1376, 14108, 908, 269, 2353, 540, 713, 1382, 5916, 2488, 513, 2603, 540, 2963, 602, 938, 7296, 7784, 3297, 7329, 11340, 987, 545, 1085, 10008, 2670, 568, 8229, 8082, 602, 2164, 689, 19514, 2208, 540, 519, 11983, 10260, 3448, 547, 519, 12636, 281, 607, 2106, 28942, 5778, 268, 657, 572, 748, 1646, 269, 1452, 7422, 2899, 1586, 6474, 909, 609, 519, 2856, 602, 513, 9395, 11983, 10260, 568, 519, 3597, 2014, 3297, 7329, 11340, 987, 545, 1085, 10008, 2670, 607, 649, 1294, 513, 1614, 1900, 1184, 8345, 607, 519, 1560, 13290, 547, 14867, 519, 8229, 8082, 602, 2164, 689, 513, 9395, 11983, 10260, 476, 278, 269, 769, 519, 10782, 2665, 267, 1085, 10008, 2670, 666, 2014, 2242, 538, 707, 9221, 543, 9641, 267, 543, 2663, 267, 7411, 7244, 269, 901, 2376, 786, 2911, 827, 1946, 513, 1085, 10008, 2670, 4991, 8338, 609, 2208, 543, 1018, 666, 581, 2944, 547, 2061, 713, 689, 8345, 269, 901, 1106, 540, 968, 611, 738, 892, 1085, 10008, 2670, 666, 2965, 2049, 693, 1022, 2085, 269, 31453, 585, 21404, 5829, 1085, 10008, 2670, 267, 1034, 2665, 540, 1085, 10008, 2670, 3112, 581, 15286, 269, 1879, 1085, 10008, 2670, 568, 9571, 2038, 267, 2126, 2356, 666, 2061, 519, 1966, 689, 3478, 8338, 269, 2480, 10008, 2670, 568, 811, 2693, 547, 1205, 8338, 1247, 707, 7633, 616, 1869, 3395, 269, 5463, 2888, 666, 2550, 543, 950, 1281, 7329, 11340, 987, 545, 1085, 10008, 2670, 1831, 18476, 1282, 23648, 267, 799, 3800, 543, 666, 2333, 538, 5026, 982, 519, 14258, 269, 898, 568, 811, 2693, 602, 596, 1185, 513, 7646, 1085, 10008, 2670, 602, 814, 1631, 1831, 811, 6654, 269, 4578, 2959, 1331, 22126, 23846, 12130, 668, 539, 1410, 630, 1575, 13768, 476, 277, 3967, 476, 1708, 272, 1070, 31762, 1676, 5564, 636, 12814, 630, 1575, 13768, 476, 275, 3967, 476, 1708, 272, 1070, 6789, 27426, 630, 1575, 13768, 476, 277, 3967, 476, 1708, 272, 264, 543, 1866, 269, 2991, 513, 1032, 610, 865, 540, 23648, 4358, 267, 543, 585, 519, 1985, 7008, 540, 1296, 281, 634, 2949, 1871, 540, 6296, 9584, 568, 711, 2312, 269, 1306, 519, 11983, 10260, 568, 2451, 538, 519, 7452, 3297, 519, 6385, 3395, 31175, 543, 11983, 6241, 267, 519, 10260, 568, 15504, 9395, 543, 607, 513, 1267, 519, 1560, 13290, 547, 1265, 513, 1259, 547, 5305, 713, 8082, 269, 634, 4050, 529, 13515, 3395, 693, 519, 1439, 540, 23648, 267, 799, 9775, 689, 18560, 547, 18560, 269, 634, 2427, 1811, 22441, 602, 596, 7747, 693, 519, 1394, 538, 1453, 568, 1572, 2480, 10008, 2670, 269, 12465, 2126, 3681, 4125, 17626, 16213, 610, 6391, 269, 6496, 1085, 10008, 2670, 2014, 1394, 1928, 286, 898, 666, 948, 2087, 4887, 4222, 543, 949, 948, 2569, 1022, 1394, 1928, 269, 634, 4387, 786, 7620, 1491, 513, 2143, 2564, 1686, 543, 949, 2307, 2055, 827, 2487, 2208, 269, 898, 779, 2523, 1271, 547, 581, 13761, 5781, 952, 596, 723, 513, 2385, 267, 11078, 267, 610, 7015, 609, 1085, 10008, 2670, 269, 1879, 786, 519, 7455, 3247, 3395, 286, 1703, 568, 1100, 2963, 547, 2303, 602, 5355, 14302, 610, 3257, 5751, 666, 2061, 621, 269, 2659, 1126, 949, 991, 6391, 950, 519, 7455, 3800, 476, 3393, 5232, 610, 811, 593, 606, 2473, 11920, 543, 2909, 1424, 814, 711, 30281, 1524, 519, 11144, 540, 519, 7455, 269, 589, 12636, 3395, 5488, 982, 519, 11983, 10260, 666, 1832, 909, 609, 568, 5219, 547, 676, 3744, 607, 4608, 537, 9482, 610, 607, 2106, 28942, 5778, 268, 657, 572, 748, 2208, 281, 4608, 537, 9482, 270, 553, 2106, 28942, 2495, 789, 1810, 1406, 1332, 693, 519, 1482, 10605, 282, 5778, 2495, 13285, 543, 519, 8401, 1062, 543, 11983, 10260, 282, 543, 15259, 572, 748, 13288, 547, 7633, 540, 519, 12636, 269, 2991, 1164, 1153, 267, 26795, 15391, 23384, 6391, 547, 1521, 1200, 1085, 10008, 2670, 269, 26440, 17654, 1085, 10008, 2670, 568, 1419, 1644, 547, 21404, 267, 2523, 538, 2021, 267, 607, 519, 2242, 9192, 543, 519, 12636, 7444, 521, 4711, 883, 513, 7455, 269, 594, 723, 513, 3659, 945, 568, 476, 1691, 1296, 2025, 543, 646, 814, 7646, 1085, 10008, 2670, 269, 4438, 713, 942, 267, 649, 1332, 5488, 982, 1022, 824, 942, 538, 938, 1272, 824, 982, 2038, 6689, 282, 1776, 1259, 540, 6031, 713, 568, 602, 938, 2557, 540, 2208, 568, 5207, 1282, 519, 15730, 2208, 838, 4669, 630, 553, 728, 689, 2038, 6689, 1040, 898, 729, 835, 540, 519, 1193, 836, 652, 4606, 594, 723, 2479, 4810, 7868, 1985, 1554, 267, 594, 5433, 899, 645, 3711, 328, 593, 4672, 269, 594, 10972, 24403, 1085, 10008, 2670, 14258, 4268, 538, 2450, 267, 543, 7646, 14258, 616, 811, 1455, 982, 3677, 14258, 269, 901, 568, 1317, 513, 1126, 610, 7141, 779, 5642, 2085, 9356, 875, 1454, 2208, 789, 723, 2451, 282, 875, 1454, 811, 789, 786, 1332, 1354, 789, 3914, 20258, 15657, 269, 9745, 2480, 10008, 2670, 3733, 2657, 9745, 772, 22744, 539, 1635, 5261, 9956, 267, 1085, 10008, 2670, 568, 513, 15400, 2783, 602, 2356, 5956, 538, 6689, 610, 18273, 2899, 4028, 5642, 2208, 7475, 1310, 23648, 1085, 10008, 2670, 2356, 1281, 711, 22009, 607, 519, 12636, 25457, 3339, 4617, 2287, 538, 15296, 20078, 2137, 543, 2589, 666, 22009, 7930, 1085, 10008, 2670, 568, 513, 12636, 901, 2208, 838, 4669, 602, 4523, 547, 782, 540, 721, 607, 649, 979, 998, 23648, 568, 1634, 607, 519, 15730, 2208, 838, 4669, 543, 568, 2047, 1644, 547, 1085, 10008, 2670, 543, 950, 621, 3587, 513, 1966, 607, 519, 7455, 6385, 9428, 538, 2450, 269, 898, 1034, 1419, 10953, 1282, 519, 2208, 838, 4669, 1175, 1354, 23648, 269, 1548, 616, 519, 2010, 540, 2480, 10008, 2670, 286, 1809, 267, 9793, 547, 4049, 1085, 10008, 2670, 602, 568, 2451, 15860, 666, 1291, 547, 1928, 543, 2810, 22775, 640, 267, 607, 1134, 607, 1761, 2295, 543, 5761, 3441, 269, 1879, 649, 13209, 606, 15730, 609, 1085, 10008, 2670, 267, 3267, 2991, 7680, 1272, 4657, 2164, 267, 646, 1305, 1010, 24738, 593, 4543, 1866, 945, 3068, 27676, 4576, 998, 3246, 811, 2067, 4485, 269, 4495, 519, 4819, 13515, 3395, 267, 519, 1085, 10008, 2670, 2356, 13515, 1932, 269, 8617, 3635, 568, 1271, 585, 1453, 609, 1085, 10008, 2670, 269, 898, 2982, 909, 1354, 23648, 543, 814, 519, 5207, 4960, 540, 3356, 532, 519, 1296, 540, 2208, 1318, 1310, 23648, 282, 1403, 519, 7455, 568, 4049, 267, 621, 666, 1291, 547, 2295, 543, 5761, 2042, 952, 621, 779, 711, 9575, 2038, 282, 1879, 9575, 2038, 2614, 267, 2909, 1424, 666, 3247, 519, 7455, 689, 3478, 10782, 538, 476, 2004, 260, 540, 1453, 282, 589, 1126, 786, 991, 6391, 952, 519, 7455, 3884, 1406, 6417, 594, 723, 547, 5957, 513, 25231, 269, 715, 3518, 1145, 476, 274, 269, 901, 6521, 538, 2990, 3123, 519, 12636, 547, 18846, 547, 835, 2427, 281, 519, 10689, 5658, 1085, 10008, 2670, 7455, 269, 1703, 616, 2185, 3119, 7399, 585, 519, 30134, 618, 540, 1085, 10008, 2670, 1310, 5945, 281, 12465, 2937, 2919, 1085, 10008, 2670, 568, 513, 1267, 540, 28115, 894, 2242, 538, 519, 9451, 13887, 6241, 269, 25289, 568, 606, 1271, 7777, 602, 20674, 1628, 5642, 2527, 269, 1452, 2164, 941, 9738, 1310, 1739, 909, 609, 891, 2550, 1079, 1296, 2663, 269, 12246, 1061, 1043, 607, 713, 6391, 950, 7329, 11340, 987, 545, 1831, 18476, 2589, 269, 1403, 519, 1394, 1928, 568, 4049, 610, 568, 2404, 609, 8467, 540, 519, 17873, 610, 31018, 267, 1289, 707, 4387, 269, 5463, 3547, 3735, 3220, 269, 623, 7163, 2699, 4593, 2642, 3220, 269, 681, 1054, 779, 1382, 476, 1691, 543, 4682, 593, 547, 2899, 1586, 7747, 602, 519, 11983, 10260, 7012, 1406, 5329, 909, 609, 875, 3728, 519, 12636, 729, 3395, 269, 4858, 1424, 269, 1306, 596, 1131, 4952, 267, 713, 5673, 593, 875, 2484, 2059, 998, 23648, 789, 616, 543, 2436, 789, 723, 5734, 741, 2208, 838, 4669, 1282, 23648, 269, 2290, 540, 519, 1034, 9053, 11983, 15494, 6391, 585, 2480, 10008, 2670, 568, 5403, 7845, 1975, 1400, 674, 4288, 269, 8866, 1510, 1085, 10008, 2670, 723, 513, 11983, 10260, 602, 568, 711, 3648, 10156, 982, 741, 12636, 630, 591, 974, 13887, 6241, 264, 1247, 3214, 609, 15730, 7329, 11340, 987, 545, 1085, 10008, 2670, 666, 723, 3648, 10156, 11983, 27871, 3448, 547, 741, 12636, 269, 3509, 2829, 2154, 1857, 3506, 547, 5496, 1053, 585, 1085, 10008, 2670, 267, 2356, 538, 519, 11359, 610, 15795, 3446, 269, 589, 269, 715, 1170, 514, 523, 267, 631, 1421, 4477, 328, 13960, 4673, 267, 631, 1421, 1530, 1080, 30790, 267, 808, 269, 3958, 267, 6690, 609, 1085, 10008, 2670, 723, 606, 25983, 958, 5488, 681, 12442, 5508, 717, 4629, 310, 8025, 3379, 547, 1346, 945, 1810, 1406, 476, 2420, 269, 1689, 538, 3337, 543, 4087, 543, 18909, 9196, 264, 1247, 519, 12636, 543, 922, 9451, 13887, 4703, 3136, 547, 1332, 693, 513, 3728, 10605, 267, 621, 568, 2693, 602, 891, 1079, 1919, 616, 1644, 476, 280, 269, 1284, 849, 14437, 827, 875, 519, 1560, 13290, 547, 3082, 547, 713, 2799, 8082, 676, 4929, 519, 12636, 547, 7455, 547, 835, 2427, 1247, 849, 15914, 538, 1931, 547, 2285, 519, 11983, 10260, 519, 20125, 2619, 2009, 538, 606, 3801, 547, 14867, 930 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 513, 11281, 264, 2066, 543, 1590, 581, 3172, 1881, 9937, 540, 5215, 540, 2053, 547, 581, 7298, 563, 14881, 4076, 1044, 2324, 538, 15591, 585, 476, 2004, 1296, 2223, 1767, 10753, 778, 267, 968, 663, 594, 666, 1406, 1589, 540, 1082, 824, 2053, 950, 972, 941, 865, 1082, 1434, 1004, 609, 865, 1082, 1114, 15421, 4947, 1927, 547, 2119, 547, 4194, 2042, 269, 898, 779, 1187, 547, 581, 851, 540, 621, 543, 547, 1294, 1018, 2501, 856, 540, 519, 5698, 3034, 291, 10005, 700, 583, 345, 1923, 31823, 2336, 23044, 540, 6147, 321, 4592, 335, 1400, 5714, 21560, 8849, 6565, 1591, 6498, 454, 2420, 269, 4962, 269, 1001, 279, 1923, 29581, 3128, 16379, 2098, 550, 5300, 28228, 333, 7770, 910, 1546, 7491, 2583, 674, 832, 577, 31258, 345, 550, 5300, 24166, 717, 525, 1495, 15241, 3768, 772, 332, 342, 3881, 454, 290, 1335, 1235, 693, 14174, 308, 6707, 6542, 708, 710, 7250, 566, 609, 20522, 1292, 1895, 4496, 454, 2420, 269, 4962, 269, 1001, 279, 1923, 26179, 5025, 2716, 6387, 268, 26536, 28059, 8210, 331, 836, 523, 9539, 14660, 333, 6199, 454, 3383, 10777, 7061, 1082, 23073, 26711, 1450, 7061, 1949, 547, 3251, 856, 540, 11466, 1454, 3476, 267, 7713, 4603, 1923, 5530, 3370, 538, 7186, 8212, 454, 25748, 267, 3173, 689, 12370, 543, 20037, 16309, 538, 29212, 513, 2594, 476, 7871, 8444, 543, 14350, 9013, 741, 7061, 1533, 267, 16734, 1018, 568, 1572, 513, 2483, 763, 8978, 1101, 7020, 540, 14965, 6329, 689, 2458, 4575, 3109, 9475, 2484, 3544, 938, 14925, 8118, 513, 1007, 6885, 547, 1620, 519, 7122, 269, 589, 2483, 288, 2319, 3366, 676, 22341, 8097, 21997, 14175, 518, 2349, 3430, 814, 16309, 538, 1915, 1944, 519, 7061, 1303, 836, 2211, 540, 1079, 22883, 6053, 9674, 8444, 676, 11287, 741, 1769, 12998, 269, 901, 4909, 17431, 1223, 1291, 547, 519, 1646, 540, 3810, 6213, 9804, 5552, 328, 18852, 585, 519, 5730, 6482, 540, 519, 14965, 2361, 610, 519, 3618, 781, 6419, 2361, 563, 763, 2085, 540, 7061, 2029, 814, 1279, 1044, 1200, 531, 4765, 269, 5463, 3547, 540, 1382, 883, 519, 7061, 1158, 723, 3366, 547, 519, 1646, 540, 2409, 602, 1118, 621, 2009, 2483, 25205, 26210, 5160, 4702, 6663, 547, 1521, 2295, 2068, 609, 14382, 12330, 602, 1332, 543, 16956, 4733, 269, 3767, 267, 3173, 689, 519, 2160, 540, 2098, 584, 747, 267, 519, 14502, 2160, 661, 785, 327, 8576, 543, 519, 4077, 527, 2946, 12670, 723, 6707, 5579, 5896, 27532, 2295, 17901, 267, 2966, 609, 519, 5351, 540, 2780, 13502, 267, 883, 13265, 585, 519, 1101, 942, 563, 303, 18166, 2713, 5160, 610, 8219, 1759, 593, 1480, 2281, 568, 835, 540, 519, 1292, 1382, 4610, 538, 27532, 4915, 269, 570, 22568, 4702, 267, 799, 3322, 3395, 2483, 288, 2319, 540, 3744, 540, 519, 7665, 23851, 4659, 585, 519, 12856, 543, 18868, 540, 17460, 630, 300, 4916, 291, 264, 693, 519, 4741, 585, 5131, 7232, 937, 1258, 21558, 3163, 538, 31297, 11567, 1904, 1227, 14001, 21367, 2032, 538, 519, 12659, 8932, 1673, 25660, 2407, 518, 728, 918, 274, 290, 2568, 8974, 1164, 5007, 12503, 269, 901, 1353, 4847, 267, 593, 835, 1688, 267, 547, 19918, 2708, 519, 2470, 540, 519, 23644, 1533, 607, 513, 21367, 532, 5123, 269, 769, 1840, 267, 621, 30792, 519, 7872, 547, 16578, 21367, 2032, 538, 918, 274, 290, 2568, 693, 5210, 2484, 1657, 519, 910, 10204, 5232, 17622, 32424, 5892, 267, 543, 2864, 782, 519, 1259, 547, 4055, 2837, 269, 634, 1957, 676, 22616, 2728, 653, 328, 1696, 620, 814, 1044, 3370, 538, 7186, 8212, 563, 19284, 8723, 8407, 267, 21367, 832, 723, 519, 2189, 12588, 540, 24317, 5122, 14768, 1510, 1022, 2530, 269, 27009, 267, 741, 6639, 2483, 6349, 269, 4962, 269, 1001, 279, 1923, 7926, 5240, 454, 1724, 269, 6860, 269, 1001, 279, 1923, 7926, 5240, 454, 1321, 269, 6860, 269, 1001, 279, 1923, 7926, 5240, 454, 1240, 269, 4962, 269, 1001, 279, 1923, 5295, 543, 15379, 7177, 454, 1240, 269, 4962, 269, 1001, 279, 1923, 6176, 5303, 454, 1240, 269, 4962, 269, 1001, 279, 1923, 6176, 5303 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 258, 16390, 585, 1747, 540, 3028, 23228, 720, 815, 703, 9272, 2891, 8923, 4283, 707, 2085, 281, 476, 834, 17903, 16303, 815, 3403, 2891, 8923, 4283, 707, 3023, 630, 300, 610, 674, 2567, 476, 834, 3418, 604, 3023, 2652, 1412, 293, 262, 6769, 825, 1820, 2891, 763, 9441, 786, 960, 538, 4683, 2127, 1152, 1701, 3418, 19197, 3023, 2652, 1412, 300, 262, 543, 476, 736, 27045, 720, 27045, 2412, 6769, 825, 1820, 2891, 763, 9441, 949, 960, 9170, 1701, 3418, 19197, 3023, 2652, 1412, 300, 262, 543, 476, 2412, 27045, 720, 27045, 2568, 6769, 825, 1820, 2891, 763, 9441, 786, 960, 538, 4683, 2127, 1152, 1701, 3418, 12828, 6769, 825, 1820, 2891, 2207, 305, 3036, 10590, 3418, 0, 258, 5124, 1599, 602, 6460, 3952, 883, 6279, 23228, 3698, 10264, 15461, 18425, 577, 263, 1111, 8029, 825, 6279, 815, 18011, 346, 15545, 273, 325, 348, 8339, 8971, 263, 1111, 265, 1321, 17903, 825, 1820, 6600, 262, 346, 1111, 348, 3952, 815, 2715, 514, 2583, 348, 6279, 20298, 1111, 815, 10581, 9272, 2891, 8722, 564, 281, 476, 834, 17903, 1111, 15461, 18425, 577, 263, 1111, 10142, 258, 5124, 1599, 547, 6460, 5195, 547, 4893, 9014, 23228, 3698, 5195, 15461, 318, 14790, 9852, 3796, 8029, 825, 5998, 815, 18011, 346, 15545, 273, 325, 348, 8339, 8971, 9852, 3796, 270, 271, 269, 277, 2641, 275, 17903, 825, 1820, 6600, 262, 346, 332, 3796, 348, 5195, 815, 2715, 14790, 348, 12919, 20298, 332, 3796, 815, 10581, 9272, 2891, 300, 3796, 281, 476, 834, 17903, 332, 3796, 15461, 318, 14790, 9852, 3796, 10142, 258, 5124, 1599, 547, 6460, 23505, 547, 4009, 18126, 1477, 3698, 23505, 15461, 5334, 336, 29288, 263, 659, 637, 8029, 825, 13483, 14729, 1841, 815, 18011, 346, 15545, 273, 325, 348, 8339, 8971, 263, 659, 637, 265, 4366, 275, 271, 17903, 825, 1820, 6600, 262, 346, 659, 637, 348, 14143, 815, 2715, 338, 336, 14729, 1841, 348, 4009, 18126, 20298, 659, 637, 815, 10581, 9272, 2891, 10907, 637, 281, 476, 834, 17903, 21492, 15461, 5334, 336, 29288, 263, 659, 637, 3418, 0, 258, 1554, 476, 276, 1477, 258, 476, 275, 269, 476, 3503, 513, 5124, 1599, 547, 2638, 2436, 513, 1297, 568, 3501, 610, 711, 23228, 258, 630, 1348, 519, 1523, 540, 3501, 1297, 10142, 258, 589, 3501, 1297, 568, 513, 1297, 799, 568, 3160, 547, 519, 2040, 540, 922, 1697, 2318, 16975, 23228, 3698, 3501, 20311, 16325, 8029, 825, 1039, 815, 476, 271, 1477, 825, 585, 1775, 538, 2039, 263, 272, 267, 1003, 8029, 1038, 952, 1003, 4939, 1775, 2652, 476, 271, 6769, 2018, 1039, 6834, 1775, 1477, 825, 952, 1039, 2652, 1003, 6769, 1038, 1820, 6600, 10454, 2715, 11133, 348, 568, 513, 3501, 1297, 1701, 3418, 825, 3116, 6769, 1038, 1820, 6600, 10454, 2715, 11133, 348, 568, 711, 513, 3501, 1297, 1701, 3418, 5897, 15893, 815, 703, 9272, 2891, 11767, 513, 1297, 547, 2638, 281, 834, 17903, 704, 2739, 20311, 28840, 3418, 0, 258, 1554, 476, 277, 1477, 258, 476, 273, 269, 3503, 513, 1599, 3957, 968, 10946, 3065, 892, 663, 834, 2381, 3065, 257, 602, 24693, 1079, 8870, 2418, 1477, 258, 543, 7024, 519, 835, 602, 519, 3152, 610, 4130, 540, 519, 1079, 547, 519, 10912, 1982, 269, 5897, 3698, 1295, 26174, 16325, 272, 267, 1003, 273, 8029, 825, 952, 1003, 272, 3436, 1003, 273, 6769, 1038, 1820, 2891, 16655, 3065, 281, 14307, 1003, 272, 3418, 1038, 1820, 2891, 14737, 3065, 281, 14307, 1003, 273, 3418, 825, 8640, 1003, 272, 2999, 1003, 273, 6769, 1038, 1820, 2891, 16655, 3065, 281, 14307, 1003, 273, 3418, 1038, 1820, 2891, 14737, 3065, 281, 14307, 1003, 272, 3418, 825, 3116, 6769, 1038, 1820, 6600, 257, 346, 11133, 272, 348, 2652, 2715, 11133, 273, 348, 14744, 5897, 333, 272, 815, 10581, 9272, 2891, 11767, 1003, 272, 281, 834, 17903, 333, 273, 815, 10581, 9272, 2891, 11767, 1003, 273, 281, 834, 17903, 2381, 26174, 3799, 272, 267, 562, 273, 10142, 0, 258, 476, 273, 264, 589, 2754, 4956, 547, 2285, 22429, 540, 476, 276, 260, 547, 9441, 952, 1010, 17017, 1032, 540, 3028, 568, 811, 982, 476, 276, 1296, 23228, 258, 825, 9105, 3593, 585, 741, 14057, 543, 1032, 540, 3028, 543, 1820, 519, 2121, 22429, 2179, 269, 5897, 2745, 2891, 2171, 786, 581, 12719, 519, 2121, 22429, 596, 786, 581, 3478, 256, 1924, 5225, 29177, 8587, 834, 4283, 519, 2953, 3877, 1701, 3418, 2745, 14052, 258, 1306, 6362, 585, 3403, 1477, 15680, 776, 815, 703, 9272, 2891, 11767, 707, 14057, 281, 834, 17903, 20204, 815, 703, 9272, 2891, 11767, 5729, 540, 6796, 281, 834, 17903, 2548, 639, 815, 630, 15680, 776, 2608, 476, 271, 269, 4962, 10142, 258, 5675, 2175, 1477, 604, 1032, 13843, 476, 276, 6769, 825, 2121, 318, 2548, 639, 815, 14057, 1341, 22429, 1477, 825, 1820, 2891, 23558, 256, 1411, 616, 14718, 585, 22429, 543, 596, 3893, 29177, 16875, 834, 513, 22429, 540, 12652, 1701, 267, 22429, 3418, 825, 1820, 2891, 7312, 6428, 776, 281, 14307, 2121, 318, 2548, 639, 3418, 12828, 6769, 825, 1820, 2891, 28989, 256, 1411, 616, 711, 14718, 585, 22429, 10590, 3418, 825, 1820, 2891, 7312, 6428, 776, 281, 14307, 14057, 3418, 0, 258, 567, 1554, 476, 279, 1477, 258, 476, 275, 269, 8073, 513, 18323, 1362, 269, 5269, 1079, 2409, 2433, 1477, 258, 672, 1775, 269, 6460, 293, 16366, 910, 898, 786, 1491, 524, 16364, 543, 786, 1820, 621, 883, 18278, 23228, 258, 672, 13797, 269, 6460, 290, 16364, 910, 898, 786, 1491, 18278, 543, 786, 6460, 621, 883, 17622, 269, 24653, 5035, 18323, 6769, 825, 1219, 6449, 8181, 9191, 1345, 267, 524, 267, 535, 8029, 1038, 1582, 6983, 815, 524, 1477, 1038, 1582, 8807, 815, 535, 5897, 825, 1219, 6460, 6958, 16366, 4311, 8029, 1038, 513, 815, 630, 1345, 6983, 2608, 630, 280, 1315, 476, 276, 4297, 1341, 476, 3953, 1477, 1038, 1820, 6600, 257, 346, 1345, 6983, 348, 290, 568, 3160, 547, 2715, 320, 348, 293, 1701, 10142, 825, 1219, 6460, 318, 26118, 3780, 4311, 8029, 1038, 536, 815, 630, 1345, 8807, 910, 476, 3953, 264, 2608, 630, 276, 270, 280, 3418, 1038, 1820, 6600, 257, 346, 1345, 8807, 348, 293, 568, 3160, 547, 2715, 321, 348, 290, 1701, 3418, 5897, 2745, 2891, 1432, 5106, 596, 1616, 547, 1685, 8119, 3418, 2745, 2891, 3269, 1477, 272, 269, 22417, 17622, 547, 18278, 1477, 273, 269, 22417, 18278, 547, 17622, 1477, 9616, 281, 4964, 1022, 1297, 547, 14827, 27969, 3418, 6112, 6936, 6769, 825, 522, 815, 703, 9272, 2891, 19152, 281, 834, 17903, 825, 952, 522, 2652, 476, 272, 6769, 1038, 533, 815, 703, 9272, 2891, 11767, 519, 2837, 538, 17622, 281, 834, 17903, 1038, 522, 272, 815, 18323, 9638, 267, 7183, 3418, 1038, 522, 272, 26769, 3200, 6958, 16366, 14052, 825, 8640, 522, 2652, 476, 273, 6769, 1038, 7117, 815, 703, 9272, 2891, 11767, 519, 2837, 538, 18278, 281, 834, 17903, 1038, 522, 273, 815, 18323, 263, 14085, 267, 7117, 3418, 1038, 522, 273, 26769, 3200, 318, 26118, 3780, 14052, 825, 3116, 6769, 1038, 2736, 5897, 5897, 0, 258, 5124, 1982, 547, 2638, 2436, 519, 1297, 568, 3501, 610, 711, 23228, 3698, 3501, 3799, 8029, 825, 2698, 815, 476, 271, 1477, 825, 585, 1775, 538, 2039, 263, 272, 19885, 8029, 1038, 952, 562, 260, 328, 2652, 476, 271, 6769, 2018, 2698, 6834, 328, 1477, 825, 952, 562, 2652, 2698, 6769, 1038, 1820, 2891, 763, 1297, 568, 513, 3501, 1297, 1701, 3418, 825, 3116, 6769, 1038, 1820, 2891, 763, 1297, 568, 711, 513, 3501, 1297, 1701, 3418, 333, 815, 703, 9272, 2891, 8923, 4283, 519, 1297, 281, 476, 834, 17903, 704, 2739, 3799, 3418, 0, 258, 5358, 799, 24693, 519, 3593, 781, 1101, 543, 2063, 2012, 543, 1820, 873, 538, 9258, 1931, 609, 513, 2230, 1063, 873, 23228, 4067, 815, 3403, 2891, 8923, 4283, 707, 2012, 281, 834, 1040, 20889, 14052, 320, 815, 2012, 11468, 18737, 272, 15947, 2745, 28949, 320, 267, 572, 335, 815, 834, 834, 3418, 0, 5035, 1448, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 629, 1087, 545, 8619, 267, 15453, 267, 629, 1087, 545, 8619, 272, 267, 15453, 272, 2187, 1038, 1582, 269, 629, 1087, 545, 8619, 815, 705, 1087, 545, 8619, 454, 1038, 1582, 269, 15453, 815, 3921, 3729, 454, 1038, 1582, 269, 629, 1087, 545, 8619, 272, 815, 705, 1087, 545, 8619, 272, 454, 1038, 1582, 269, 15453, 272, 815, 3921, 3729, 272, 454, 825, 1219, 1397, 5891, 4311, 2187, 1038, 1820, 2891, 14140, 11282, 568, 540, 476, 272, 560, 1448, 2580, 1345, 269, 629, 1087, 545, 8619, 994, 1038, 1820, 2891, 5913, 785, 11282, 568, 476, 272, 560, 1448, 2580, 1345, 269, 15453, 994, 1038, 1820, 2891, 14140, 11282, 568, 476, 273, 526, 1448, 2580, 1345, 269, 629, 1087, 545, 8619, 272, 994, 1038, 1820, 2891, 5913, 785, 11282, 568, 476, 273, 526, 1448, 2580, 1345, 269, 15453, 272, 994, 825, 1219, 3845, 4311, 2187, 1038, 524, 815, 16733, 1345, 269, 629, 1087, 545, 8619, 272, 910, 1582, 269, 629, 1087, 545, 8619, 264, 1262, 273, 1341, 630, 1345, 269, 15453, 272, 910, 1582, 269, 15453, 264, 1262, 273, 264, 1262, 263, 271, 269, 276, 994, 1038, 1820, 6262, 994, 320, 815, 703, 9272, 2891, 10938, 519, 705, 1087, 545, 8619, 540, 1101, 1448, 2433, 834, 4297, 22322, 321, 815, 703, 9272, 2891, 10938, 519, 3921, 3729, 540, 1101, 1448, 2433, 834, 4297, 22322, 325, 815, 703, 9272, 2891, 10938, 519, 705, 1087, 545, 8619, 540, 2034, 1448, 2433, 834, 4297, 22322, 323, 815, 703, 9272, 2891, 10938, 519, 3921, 3729, 540, 2034, 1448, 2433, 834, 4297, 8528, 324, 815, 1448, 5416, 14720, 267, 325, 28504, 994, 324, 20481, 5891, 4590, 324, 6155, 2700, 4590, 13872, 0, 258, 5124, 1982, 602, 24693, 519, 8953, 540, 519, 5858, 543, 1939, 525, 519, 1858, 540, 519, 5858, 23228, 5228, 2979, 1104, 14039, 1477, 3698, 1858, 263, 31709, 8029, 825, 2132, 630, 7032, 265, 31709, 1262, 273, 3418, 2745, 263, 19327, 263, 279, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 347, 587, 373, 476, 5002, 276, 476, 4489, 280, 15955, 2008, 347, 5002, 280, 932, 1177, 13239, 1014, 15424, 12836, 2008, 347, 7785, 16295, 2698, 630, 22145, 16295, 2877, 585, 513, 5354, 10245, 347, 20103, 476, 4029, 267, 476, 5002, 280, 2008, 30106, 1248, 719, 1475, 476, 15647, 267, 4281, 279, 267, 5392, 277, 932, 1177, 13239, 2103, 20366, 538, 713, 15424, 12836, 454, 309, 582, 518, 12414, 719, 28206, 1078, 6930, 498, 375, 454, 23277, 1994, 640, 5428, 1475, 14737, 528, 640, 5428, 1475, 23612, 5428, 2008, 347, 22117, 518, 1475, 297, 517, 11936, 28788, 2284, 5839, 10111, 20321, 1475, 22832, 2349, 1515, 654, 2454, 2023, 1475, 297, 517, 11936, 667, 269, 5839, 2704, 553, 323, 1515, 2008, 347, 8512, 344, 1475, 8256, 969, 894, 9549, 5177, 1475, 299, 28515, 9549, 5177, 1475, 299, 28515, 9549, 540, 4516, 2008, 347, 22117, 518, 2094, 1475, 21982, 5604, 676, 5130, 476, 272, 267, 476, 4489, 271, 1475, 20464, 476, 272, 267, 476, 5002, 271, 1475, 20809, 476, 272, 267, 476, 5002, 275, 2008, 347, 22117, 518, 781, 10160, 1475, 306, 11770, 2284, 1475, 295, 1177, 651, 781, 7345, 1475, 295, 531, 604, 1314, 2008, 1103, 5765, 11788, 10579, 12275, 7615, 12359, 553, 28732, 15189, 547, 2196, 585, 519, 772, 14389, 269, 27565, 9549, 2427, 1317, 540, 741, 8106, 12666, 3466, 269, 28732, 781, 9053, 5428, 267, 519, 5177, 23267, 9549, 267, 729, 711, 4847, 547, 581, 513, 16045, 540, 713, 9550, 1317, 540, 4550, 4149, 3469, 626, 21274, 693, 602, 942, 1974, 563, 22416, 24444, 10370, 976, 5839, 298, 20044, 773, 14355, 729, 8719, 607, 6205, 540, 519, 932, 1177, 13239, 1014, 524, 14072, 639, 540, 519, 3703, 20271, 894, 9549, 1317, 540, 14355, 781, 19849, 23035, 9271, 538, 519, 476, 5002, 276, 15424, 12836, 543, 538, 519, 476, 5002, 277, 772, 14389, 269, 2489, 12836, 267, 543, 519, 524, 14072, 639, 8359, 519, 9406, 8862, 532, 7377, 592, 626, 267, 22189, 28788, 2284, 5839, 10111, 20321, 563, 310, 12291, 4607, 513, 1394, 31988, 585, 11504, 519, 3557, 24133, 540, 10348, 15117, 593, 5988, 476, 275, 267, 476, 5002, 272, 267, 18468, 14355, 568, 538, 1309, 14833, 1824, 609, 519, 10348, 267, 543, 519, 1964, 540, 519, 3703, 28370, 543, 824, 3864, 28370, 563, 15152, 5839, 10111, 20321, 781, 5718, 267, 519, 772, 14389, 269, 20271, 894, 9549, 1036, 7134, 1852, 540, 519, 20066, 689, 519, 1079, 27565, 3487, 625, 540, 1312, 4516, 543, 6628, 267, 10888, 476, 22332, 16295, 547, 519, 8644, 5644, 262, 476, 29257, 269, 5839, 10111, 20321, 1031, 3043, 29686, 547, 3142, 856, 519, 3043, 17037, 540, 932, 1177, 13239, 807, 547, 8917, 1247, 1875, 19351, 2572, 941, 23696, 538, 741, 13359, 563, 763, 12836, 941, 513, 11802, 585, 17069, 1235, 689, 1312, 5011, 267, 543, 513, 14710, 585, 519, 10661, 267, 932, 1177, 13239, 2103, 3893, 13110, 540, 519, 3703, 9013, 3592, 1169, 2460, 540, 932, 1177, 13239, 1014, 1272, 267, 543, 519, 4299, 519, 8560, 540, 856, 4707, 11788, 10579, 29346, 10370, 976, 5839, 298, 20044, 773, 14355, 267, 543, 713, 2898, 9550, 4783, 4718, 519, 9550, 540, 519, 1007, 8375, 5182, 538, 29246, 11732, 10588, 267, 22189, 19537, 1146, 645, 1143, 541, 1188, 2473, 23997, 6591, 3084, 3007, 950, 646, 4465, 606, 13347, 11802, 936, 519, 4317, 19391, 520, 8891, 324, 4858, 525, 30501, 267, 945, 729, 519, 4395, 14725, 1676, 540, 519, 5198, 267, 543, 646, 2968, 13042, 607, 834, 2419, 1177, 13239, 807, 781, 11023, 1782, 2580, 645, 1143, 541, 1188, 781, 3094, 729, 2808, 513, 23801, 11802, 585, 17069, 1143, 269, 898, 729, 6140, 513, 3094, 585, 1318, 26310, 17069, 1235, 811, 982, 621, 729, 585, 2451, 26310, 17069, 1235, 1498, 563, 763, 20271, 894, 9549, 5177, 1036, 7134, 1852, 540, 519, 5600, 540, 12780, 267, 519, 5600, 540, 700, 3581, 267, 543, 519, 5600, 540, 24929, 267, 543, 9450, 741, 5354, 538, 519, 14130, 269, 634, 8644, 5644, 4465, 519, 2442, 8917, 267, 543, 5839, 10111, 20321, 3587, 519, 26064, 540, 519, 11534, 3789, 563, 288, 5428, 602, 17993, 519, 476, 22145, 16295, 2877, 585, 513, 5354, 538, 519, 932, 1177, 641, 12994, 20066, 267, 607, 1134, 607, 513, 5354, 540, 782, 2185, 8075, 267, 519, 5600, 540, 12780, 267, 519, 5600, 540, 700, 3581, 267, 519, 5600, 540, 24929, 267, 543, 519, 14130, 267, 786, 723, 15424, 1852, 540, 519, 20066, 269, 634, 11683, 640, 9549, 781, 6205, 568, 1572, 519, 29150, 540, 519, 20066, 267, 543, 519, 19724, 640, 9549, 781, 6205, 568, 1572, 3274, 519, 19724, 640, 26064, 269, 634, 29150, 666, 581, 1572, 519, 11683, 640, 26064, 563, 763, 10966, 26064, 540, 519, 7276, 540, 932, 1177, 13239, 807, 630, 514, 713, 9550, 267, 14890, 16114, 328, 6210, 264, 666, 6430, 519, 11788, 10579, 7488, 540, 519, 6364, 540, 606, 9550, 267, 519, 10966, 26064, 666, 4584, 952, 646, 610, 1352, 6499, 519, 12102, 6205, 547, 1831, 11788, 10579, 267, 519, 10966, 26064, 666, 849, 6430, 952, 646, 610, 1352, 6499, 513, 4351, 1268, 945, 568, 9444, 5354, 610, 12102, 6205, 267, 711, 693, 782, 513, 4759, 540, 519, 20066, 267, 547, 581, 11788, 10579, 269, 634, 10966, 26064, 814, 2347, 1852, 540, 945, 519, 11788, 10579, 666, 581, 563, 294, 541, 7615, 12359, 553, 28732, 267, 519, 19670, 11788, 10579, 267, 15189, 547, 2196, 593, 1022, 540, 519, 1079, 3703, 6105, 1317, 519, 3703, 23267, 9549, 729, 711, 4847, 547, 2196, 1317, 540, 7839, 4550, 4149, 3469, 626, 21274, 1394, 693, 602, 942, 1974, 563, 28269, 10579, 29346, 10370, 976, 5839, 298, 20044, 773, 14355, 729, 10002, 641, 983, 1317, 540, 1010, 7368, 13218, 547, 519, 3703, 269, 543, 519, 932, 1177, 13239, 2103, 941, 849, 20714, 539, 676, 519, 3703, 585, 9013, 1169, 2460, 540, 932, 1177, 13239, 1014, 2486, 267, 25412, 16972, 2418, 593, 873, 267, 543, 3843, 547, 3196, 8567, 1524, 741, 31462, 1846, 563, 22416, 24444, 14355, 729, 17792, 513, 2034, 2165, 676, 14890, 16114, 328, 6210, 7064, 547, 1010, 10002, 641, 983, 640, 543, 1010, 2773, 538, 519, 476, 5002, 276, 12836, 267, 543, 519, 1249, 602, 1010, 5428, 3893, 16760, 538, 519, 2136, 8003, 538, 519, 476, 5002, 277, 5177, 12836, 269, 589, 5951, 540, 17069, 626, 4550, 21553, 704, 658, 626, 10457, 10443, 7488, 540, 5428, 267, 713, 729, 513, 1360, 20748, 9550, 2864, 982, 513, 851, 16388, 9550, 269, 14355, 729, 519, 1641, 540, 24431, 655, 12792, 24242, 6436, 543, 7368, 4550, 21553, 704, 658, 626, 2669, 6937, 563, 310, 12291, 729, 1572, 513, 3673, 626, 267, 513, 4035, 267, 543, 513, 7826, 269, 634, 9930, 1588, 540, 12275, 7615, 28732, 729, 849, 9244, 10353, 1317, 28732, 729, 513, 7826, 267, 543, 28732, 729, 849, 519, 1641, 540, 14640, 4211, 987, 4301, 24242, 6436, 563, 19064, 11823, 9549, 1475, 8512, 344, 26064, 1475, 13233, 22694, 894, 1530, 1846, 1475, 13233, 15019, 966, 1774, 2008, 347, 5353, 1846, 654, 517, 1475, 5002, 280, 23848, 2008, 347, 8256, 969, 894, 9549, 630, 20084, 10534, 297, 517, 11936, 590, 269, 5839, 10111, 20321, 1475, 25908, 1475, 28766, 1475, 7367, 269, 278, 260, 1475, 266, 4200, 1475, 5325, 267, 6812, 274, 267, 6924, 280, 1475, 2764, 269, 272, 260, 1475, 266, 275, 269, 272, 260, 2008, 30054, 28515, 9549, 630, 20084, 10534, 22832, 2349, 1515, 654, 2454, 2023, 1475, 21497, 1475, 16409, 1475, 2190, 269, 276, 260, 1475, 268, 7597, 1475, 7597, 267, 25870, 267, 18458, 1475, 6078, 269, 271, 260, 1475, 268, 1321, 269, 280, 260, 2008, 30054, 28515, 9549, 630, 28657, 10534, 297, 517, 11936, 667, 269, 5839, 2704, 553, 323, 1515, 1475, 15757, 1475, 15389, 1475, 2420, 269, 279, 260, 1475, 268, 1789, 1475, 6078, 267, 4281, 280, 267, 4510, 273, 1475, 2190, 269, 278, 260, 1475, 266, 1015, 269, 279, 260, 2008, 347, 23921, 539, 1677, 12736, 1475, 22145, 2008, 347, 4910, 738, 1475, 8256, 969, 894, 3180, 267, 20271, 894, 12374, 2008, 763, 9550, 729, 4371, 593, 5412, 476, 736, 547, 476, 3066, 540, 476, 5002, 280, 267, 543, 519, 2164, 941, 3370, 593, 5412, 476, 4029, 267, 476, 5002, 280, 269, 634, 570, 1559, 1036, 7134, 741, 5354, 855, 676, 513, 28489, 267, 476, 4200, 16295, 269, 898, 8604, 899, 513, 26949, 728, 585, 519, 570, 1559, 267, 855, 519, 570, 1559, 1185, 513, 28489, 5354, 540, 16295, 269, 634, 570, 1559, 4503, 519, 2442, 8917, 855, 6591, 538, 519, 2442, 8917, 16434, 569, 269, 634, 8225, 8644, 5644, 849, 6591, 538, 519, 2442, 8917, 855, 811, 982, 519, 570, 1559, 563, 763, 570, 1559, 543, 8225, 8644, 5644, 6591, 538, 2442, 1489, 1813, 547, 741, 20261, 593, 4550, 21553, 704, 658, 1143, 1996, 6628, 267, 855, 519, 570, 1559, 6591, 476, 4200, 16295, 3366, 676, 5839, 10111, 20321, 269, 8871, 5799, 17069, 1235, 1519, 22189, 19537, 1146, 645, 1143, 541, 1188, 2473, 23997, 4607, 18487, 3007, 585, 741, 17069, 626, 20261, 543, 26949, 728, 24984, 563, 8450, 849, 22478, 454, 268, 476, 6245, 280, 932, 1177, 13239, 1014, 15424, 12836, 910, 3105, 8717, 9550, 563, 268, 476, 5002, 276, 932, 1177, 13239, 1014, 15424, 12836, 910, 3105, 9550, 563, 268, 476, 4489, 280, 932, 1177, 13239, 1014, 15424, 12836, 910, 1985, 9550, 563, 268, 595, 766, 961, 566, 540, 519, 476, 4489, 276, 15424, 12836, 563, 268, 14890, 16114, 328, 6210, 540, 519, 3703, 7276, 910, 10966, 26064, 1282, 519, 9550, 269, 0, 16966, 547, 1072, 1416, 814, 13856, 519, 1072, 3609, 6429, 585, 1896, 5756, 269, 769, 519, 2038, 476, 1960, 271, 338, 267, 3084, 9086, 267, 968, 684, 1392, 531, 1569, 892, 547, 1072, 1416, 267, 729, 5189, 676, 5518, 22735, 543, 519, 6837, 607, 513, 1259, 547, 1683, 1072, 3354, 585, 782, 4892, 269, 700, 1947, 9840, 941, 6383, 543, 519, 1888, 26017, 3084, 3007, 269, 634, 4674, 267, 4352, 28336, 267, 814, 6854, 519, 1966, 540, 1072, 1416, 1569, 593, 519, 1857, 16786, 269, 7457, 547, 1416, 3622, 4016, 547, 519, 12905, 946, 540, 2123, 1072, 2533, 547, 3035, 519, 1655, 2009, 4093, 269, 7620, 267, 519, 23350, 729, 1569, 547, 13500, 543, 10506, 269, 2859, 5063, 267, 1072, 1416, 1569, 814, 3769, 513, 3099, 540, 7426, 267, 2533, 267, 543, 6703, 269, 538, 1840, 267, 1569, 6257, 519, 4890, 946, 540, 1072, 2533, 543, 2188, 602, 7520, 610, 15641, 324, 1072, 1416, 563, 288, 1485, 630, 1220, 272, 264, 543, 18722, 630, 5408, 18722, 1696, 620, 1421, 476, 1960, 277, 264, 4766, 3670, 2010, 540, 1569, 281, 15783, 1569, 4016, 547, 1072, 1416, 1062, 4162, 602, 3310, 519, 946, 540, 2533, 269, 7464, 1242, 1569, 568, 519, 4890, 946, 540, 1072, 2533, 269, 4982, 3386, 1569, 568, 519, 946, 540, 1072, 2533, 5462, 676, 15295, 4162, 543, 991, 269, 21153, 3386, 1569, 4016, 547, 519, 946, 540, 1072, 2533, 602, 568, 5462, 676, 1514, 3197, 543, 2139, 2200, 269, 13229, 1569, 568, 519, 946, 540, 1072, 2533, 602, 10607, 1072, 4567, 610, 9547, 269, 31478, 1569, 24024, 519, 1942, 540, 1072, 1416, 2533, 543, 12366, 3278, 1072, 4567, 610, 9547, 269, 4935, 267, 1142, 1826, 540, 1569, 547, 1416, 568, 6766, 676, 513, 1297, 540, 4162, 543, 2621, 269, 769, 606, 4674, 547, 1174, 519, 7506, 593, 1569, 547, 1072, 1416, 267, 3875, 2090, 723, 8947, 519, 7496, 547, 1416, 538, 1808, 5095, 563, 2005, 568, 2312, 602, 2516, 543, 2043, 693, 1981, 949, 1995, 2789, 7496, 538, 3843, 547, 1569, 1072, 1416, 269, 1452, 616, 1419, 2043, 543, 2516, 945, 616, 7925, 543, 991, 2789, 2533, 269, 589, 1485, 630, 1220, 272, 264, 4967, 602, 519, 9030, 1072, 2115, 540, 7925, 5095, 616, 2168, 630, 14683, 16151, 11299, 543, 12256, 267, 12225, 1227, 2192, 543, 16981, 267, 7606, 2713, 609, 7486, 270, 15978, 5148, 5626, 630, 618, 958, 2192, 543, 16981, 267, 4568, 610, 6219, 705, 22852, 267, 11980, 610, 4630, 8336, 12155, 5148, 1514, 630, 629, 6748, 3885, 267, 15602, 7606, 267, 11082, 543, 15076, 1040, 3509, 540, 891, 7925, 2516, 723, 3444, 12827, 1154, 1072, 2115, 971, 607, 10599, 1229, 9176, 2021, 267, 9176, 267, 15602, 267, 6219, 268, 629, 6748, 2021, 269, 1452, 2021, 616, 782, 693, 2799, 1981, 267, 8506, 7463, 2533, 543, 7680, 2789, 7496, 547, 17034, 1416, 269, 589, 2582, 1790, 1861, 17104, 4807, 609, 1614, 1453, 543, 1100, 6142, 267, 2713, 538, 513, 6917, 1858, 267, 2693, 2833, 519, 1739, 7496, 912, 268, 23225, 518, 7426, 538, 6917 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5694, 5995, 454, 269, 15486, 540, 10733, 1427, 3555, 454, 303, 3233, 5711, 9882, 454, 281, 621, 8992, 519, 13250, 540, 4551, 538, 519, 5023, 543, 519, 5250, 540, 5959, 15799, 5196, 519, 3544, 540, 891, 4522, 267, 602, 3123, 6553, 540, 519, 14779, 543, 4617, 839, 5642, 563, 288, 1375, 4809, 17678, 281, 519, 6165, 540, 513, 2182, 1532, 2077, 1194, 28750, 610, 16789, 17678, 949, 2014, 10733, 15087, 543, 865, 5818, 741, 21748, 269, 1234, 1027, 532, 717, 4548, 22320, 7982, 454, 281, 30926, 28453, 3123, 13802, 547, 2445, 689, 519, 5023, 267, 538, 1840, 547, 606, 5711, 3819, 1145, 799, 2337, 9062, 519, 4551, 3743, 585, 513, 3099, 540, 3676, 543, 5711, 5343, 725, 269, 589, 4719, 32739, 912, 514, 930, 1004, 267, 621, 568, 741, 4719, 2245, 602, 568, 5097, 18177, 585, 922, 1427, 3555, 540, 14779, 543, 824, 5711, 2042, 563, 295, 768, 4689, 4713, 281, 606, 2629, 21131, 540, 21110, 1522, 10726, 519, 3597, 2014, 540, 741, 1427, 3555, 540, 519, 14779, 267, 538, 1880, 538, 519, 2503, 656, 4807, 269, 901, 4430, 9449, 568, 2469, 547, 581, 4362, 693, 519, 2179, 540, 741, 10733, 267, 543, 713, 786, 3049, 930, 23633, 4551, 4171, 1297, 786, 9062, 267, 1802, 1424, 8101, 6553, 540, 519, 10733, 543, 1427, 3555, 269, 1684, 717, 4548, 22320, 7982, 2991, 1234, 1027, 532, 888, 303, 1512, 322, 902, 281, 9849, 11469, 610, 9067, 22815, 322, 902, 666, 1267, 538, 8628, 27012, 689, 519, 14779, 543, 865, 2014, 811, 610, 1447, 4049, 15087, 543, 5343, 725, 563, 20332, 14319, 547, 2061, 543, 10826, 10733, 21748, 454, 763, 1427, 3555, 540, 519, 14779, 666, 581, 513, 1966, 602, 814, 547, 581, 5701, 538, 922, 2038, 5933, 547, 1832, 621, 689, 3395, 883, 1974, 2632, 4345, 454, 269, 898, 568, 9244, 15695, 547, 5077, 609, 513, 11290, 267, 945, 786, 1685, 1784, 2718, 547, 4894, 15799, 543, 1521, 707, 28332, 14779, 269, 7849, 3816, 12203, 674, 30480, 717, 636, 4825, 3555, 454, 23613, 538, 14434, 267, 3039, 7401, 2337, 9004, 13802, 543, 1863, 18119, 267, 519, 1292, 2601, 585, 27731, 3676, 269, 898, 781, 849, 2407, 540, 524, 622, 24739, 267, 513, 3810, 2500, 15934, 799, 666, 8190, 2635, 20018, 10733, 5160, 543, 3976, 2061, 10733, 1427, 3555, 543, 3138, 657, 2287, 540, 4522, 269, 6875, 513, 7484, 540, 3039, 7401, 3232, 269, 1684, 717, 4548, 22320, 7982, 888, 763, 620, 4141, 2357, 320, 454, 18814, 547, 4550, 1532, 17424, 267, 7067, 543, 25695, 3601, 267, 713, 2030, 666, 948, 596, 1521, 707, 28332, 14779, 267, 10826, 5563, 543, 7816, 8697, 5160, 269, 898, 781, 2009, 547, 946, 620, 4141, 2357, 320, 15074, 29809, 538, 1216, 899, 513, 5023, 31683, 610, 596, 666, 946, 621, 585, 17678, 707, 4522, 267, 1318, 1310, 707, 2834, 17678, 269, 5901, 621, 585, 476, 276, 3764, 1287, 27125, 8499, 269, 3004, 794, 3282, 454, 288, 575, 1173, 548, 1210, 17310, 3282, 610, 3675, 329, 20899, 3282, 568, 606, 2500, 16185, 1996, 9190, 2208, 593, 707, 5023, 269, 3502, 1152, 616, 596, 2469, 547, 9004, 23633, 4551, 799, 2014, 19659, 267, 6553, 540, 519, 14779, 543, 10300, 527, 2670, 267, 18562, 267, 596, 786, 849, 2061, 15799, 19221, 538, 707, 1378, 19596, 269, 2052, 1234, 1027, 532, 717, 4548, 22320, 7982, 888, 5475, 17678, 707, 4522, 267, 21066, 3002, 707, 3282, 543, 1711, 575, 1173, 956, 267, 23679, 585, 476, 1428, 547, 476, 736, 3764, 269, 1411, 616, 2111, 547, 2253, 609, 513, 476, 273, 18826, 575, 1173, 548, 267, 543, 7930, 3986, 922, 8653, 269, 12708, 11041, 454, 29973, 11041, 723, 1044, 4583, 585, 741, 3532, 27611, 543, 30624, 25193, 3601, 269, 17186, 835, 547, 1079, 12772, 538, 1079, 512, 26138, 1216, 267, 1287, 946, 519, 16185, 547, 11453, 707, 4522, 543, 18552, 707, 14779, 563, 23219, 940, 281, 519, 13345, 540, 1898, 11041, 568, 711, 5227, 585, 9176, 543, 14915, 908, 8951, 269, 0, 288, 9583, 20036, 887, 4823, 602, 666, 581, 6854, 607, 513, 4620, 267, 519, 11188, 24189, 710, 568, 2965, 3833, 513, 5906, 3662, 602, 666, 10726, 513, 17794, 609, 922, 844, 1571, 269, 1773, 4868, 540, 4241, 543, 29737, 14868, 31721, 1472, 621, 267, 543, 844, 650, 15246, 568, 519, 1292, 835, 269, 5410, 519, 14686, 8914, 267, 543, 519, 11188, 24189, 710, 3587, 513, 1483, 11318, 3684, 269, 1809, 568, 621, 2731, 865, 286, 2913, 781, 1413, 693, 2182, 543, 8810, 1239, 547, 1265, 856, 563, 5591, 267, 789, 666, 1406, 269, 4256, 844, 1571, 616, 14605, 6378, 538, 519, 2960, 267, 865, 789, 3362, 2611, 538, 519, 16398, 540, 11975, 1282, 606, 4323, 563, 5591, 267, 891, 616, 2241, 26389, 267, 5594, 17208, 267, 17860, 267, 610, 4904, 609, 513, 29008, 344, 2527, 563, 5278, 540, 519, 844, 1571, 723, 3046, 2125, 267, 1818, 873, 2352, 547, 4894, 269, 769, 1840, 267, 26389, 616, 13897, 543, 7452, 19216, 267, 2111, 547, 3142, 5563, 883, 519, 16398, 563, 6524, 18167, 883, 922, 844, 1571, 267, 1577, 781, 1101, 1413, 693, 713, 8966, 3662, 269, 1358, 2661, 538, 930, 7489, 2477, 267, 7013, 2342, 267, 543, 3162, 3013, 267, 7610, 1746, 795, 2426, 956, 267, 5260, 2335, 553, 267, 9299, 597, 625, 267, 543, 1256, 24301, 563, 3080, 540, 519, 4102, 23224, 267, 789, 616, 2034, 1152, 547, 1698, 344, 8663, 553, 543, 581, 28316, 269, 1717, 267, 1152, 930, 11188, 24189, 710, 2249, 666, 30107, 971, 2450, 269, 634, 7887, 540, 873, 9260, 909, 547, 476, 2767, 13532, 267, 1247, 519, 5318, 5354, 10355, 1332, 811, 982, 476, 279, 1700, 1321, 13532, 269, 634, 4102, 2249, 9789, 1212, 23264, 11188, 24189, 710, 1765, 4754, 1332, 909, 547, 476, 3445, 4699, 1279, 267, 7132, 513, 476, 1015, 1700, 1428, 4699, 2766, 563, 3528, 519, 1259, 267, 713, 2249, 568, 1034, 5078, 585, 10203, 844, 1571, 269, 898, 666, 723, 607, 1082, 607, 476, 1789, 8536, 844, 1571, 593, 922, 1560, 267, 610, 1256, 811, 563, 4322, 20036, 2831, 616, 4535, 609, 2571, 26389, 267, 1175, 899, 21963, 327, 9233, 269, 1717, 267, 519, 26389, 2182, 523, 936, 942, 267, 1818, 621, 513, 6325, 1797, 540, 8878, 1996, 11975, 3168, 585, 513, 3500, 7594, 269, 28769, 24189, 1149, 1831, 4628, 2919, 543, 4830, 693, 1079, 3275, 540, 2085, 269, 1358, 616, 7168, 2653, 547, 512, 877, 9789, 344, 798, 711, 1397, 14699, 2509, 519, 8227, 543, 666, 581, 32620, 10130, 563, 5194, 1390, 1249, 827, 713, 887, 4823, 568, 922, 1279, 1272, 269, 1358, 666, 2661, 909, 547, 476, 736, 1296, 538, 24811, 543, 3368, 607, 1279, 538, 519, 3552, 563, 1103, 1082, 9413, 543, 27977, 267, 11188, 24189, 1149, 9496, 741, 844, 1571, 693, 741, 14763, 630, 663, 3006, 693, 741, 2828, 1040, 1656, 713, 267, 540, 1576, 267, 5795, 4473, 547, 713, 11495, 543, 2442, 7242, 269, 1809, 1577, 781, 711, 2322, 782, 519, 16620, 593, 2413, 5496, 32392, 269, 769, 1249, 267, 519, 10828, 3771, 802, 1394, 547, 2025, 2053, 540, 519, 3504, 4936, 5736, 269, 4746, 267, 513, 11188, 24189, 710, 5526, 593, 519, 30118, 540, 8402, 2473, 2862, 267, 945, 5030, 1394, 538, 519, 476, 1626, 628, 2540, 269, 898, 13269, 519, 11188, 24189, 710, 609, 513, 13862, 593, 922, 1394, 267, 15246, 922, 844, 1571, 563, 4913, 267, 11188, 24189, 1149, 1175, 3112, 9496, 741, 844, 1571, 269, 1358, 616, 8810, 547, 723, 1100, 2027, 2645, 538, 741, 4703, 585, 713, 269, 4746, 267, 1317, 844, 1571, 616, 17860, 543, 3976, 1932, 1769, 547, 5734, 519, 3077, 267, 789, 616, 711, 519, 1655, 4781, 585, 15246, 269, 5047, 267, 789, 616, 2141, 17208, 513, 3787, 267, 1818, 873, 711, 865, 4666, 6823, 563, 303, 528, 24189, 1149, 723, 1896, 2081, 547, 2149, 2933, 689, 14763, 269, 4495, 513, 23246, 568, 1472, 267, 519, 11188, 24189, 710, 14678, 12651, 922, 844, 1571, 267, 799, 7363, 9114, 6366, 269, 4935, 267, 1152, 9157, 12897, 666, 1205, 2673, 547, 713, 533, 4459, 548, 3440, 269, 5047, 267, 519, 3662, 6238, 804, 30568, 922, 4522, 1247, 922, 17860, 844, 1571, 616, 678, 3430, 1782, 269, 901, 568, 2943, 1776, 8878, 1996, 11975, 267, 1519, 1312, 7314, 630, 331, 687, 543, 682, 641, 1841, 264, 543, 27738, 630, 335, 2814, 976, 1916, 2252, 713, 3085, 1405, 960, 267, 519, 11188, 24189, 710, 949, 1287, 4323, 269, 5695, 940, 922, 1394, 610, 5011, 267, 621, 678, 16640, 693, 519, 23246, 267, 1210, 922, 2766, 547, 5734, 519, 10546, 781, 2879, 719, 610, 533, 9155, 269, 901, 568, 1141, 519, 1187, 5956, 269, 31418, 1176, 1033, 3737, 267, 8325, 26389, 1205, 883, 519, 25433, 781, 1560, 269, 3683, 942, 267, 519, 11188, 24189, 710, 9428, 1007, 26389, 267, 6466, 519, 23246, 1698, 527, 12885, 609, 844, 1571, 31732, 24851, 689, 922, 16398, 267, 865, 1252, 3585, 2016, 676, 519, 834, 324, 6470, 5779, 4799, 11039, 3222, 540, 713, 11188, 24189, 710, 4183, 267, 1034, 2831, 538, 741, 7226, 1796, 705, 871, 689, 891, 23487, 995, 7068, 543, 4323, 1152, 607, 513, 2063, 18992, 269, 1280, 1383, 267, 950, 7928, 14286, 538, 10122, 1118, 519, 3662, 3442, 2436, 547, 1491, 513, 4960, 543, 10544, 513, 11188, 24189, 710, 610, 5884, 540, 14000, 563, 4913, 267, 971, 513, 10639, 4249, 513, 16970, 24983, 593, 1804, 23224, 281, 789, 616, 865, 1031, 547, 1373, 2922, 602, 789, 949, 7340, 547, 2149, 2933, 269, 4634, 950, 25884, 513, 1286, 267, 789, 798, 711, 2119, 547, 9101, 855, 979, 593, 519, 4323, 269, 1306, 513, 1267, 267, 11188, 24189, 1149, 5884, 896, 519, 14743, 563, 5591, 267, 789, 2811, 9090, 711, 269, 634, 11188, 24189, 710, 814, 1100, 15374, 602, 1131, 694, 4740, 8914, 267, 865, 602, 781, 711, 519, 1448, 269, 634, 8594, 1934, 568, 1114, 563, 20058, 267, 621, 779, 782, 827, 13897, 269, 28769, 24189, 1149, 616, 1507, 2831, 602, 6108, 1454, 942, 20857, 543, 3276, 8089, 269, 1924, 741, 2960, 267, 15144, 267, 543, 844, 1571, 6923, 1205, 7452, 344, 269, 4475, 267, 21108, 1996, 11975, 949, 3142, 13897, 883, 519, 16398, 267, 4929, 3968, 543, 6553, 563, 30772, 267, 844, 1571, 616, 1360, 2653, 547, 2736, 269, 634, 23246, 3112, 1205, 782, 540, 621, 856, 267, 1317, 844, 1571, 2736, 883, 4773, 602, 2611, 538, 519, 16398, 267, 12042, 1359, 7067, 543, 1818, 1919, 8338, 563, 1607, 949, 1291, 547, 6397, 4539, 269, 1280, 1383, 267, 513, 17794, 610, 682, 16985, 3893, 922, 30392, 10413, 267, 543, 519, 1928, 4769, 1405, 3247, 585, 513, 1360, 1279, 942, 282, 519, 23246, 666, 1100, 3476, 2196, 543, 29677, 16190, 2831, 607, 621, 1031, 547, 543, 568, 3908, 547, 14887, 3283, 267, 5182, 1324, 547, 2669, 269, 1656, 713, 568, 1141, 1004, 949, 2887, 10352, 547, 513, 23246, 607, 1134, 269, 1924, 267, 519, 7237, 609, 11188, 24189, 710, 844, 1571, 7140, 1082, 682, 641, 1841, 883, 812, 3887, 11596, 563, 27066, 281, 25103, 543, 2959, 0, 22517, 739, 707, 4081, 2773, 2336, 292, 6470, 26159, 543, 1603, 4388, 585, 1053, 1107, 606, 3872, 813, 585, 3384, 1603, 1983, 543, 11264, 4081, 4574, 2687, 547, 11249, 6163, 2838, 676, 5238, 563, 9596, 11249, 6163, 609, 2653, 547, 1174, 2656, 4808, 543, 1806, 912, 663, 824, 11249, 6163, 4947, 4166, 912, 763, 813, 3568, 1863, 3391, 543, 7840, 585, 1053, 593, 4081, 26159, 543, 2953, 11249, 269, 5272, 1576, 568, 5258, 883, 519, 1739, 4245, 547, 8897, 519, 12445, 912, 268, 4937, 14474, 1154, 543, 8525, 20233, 719, 454, 268, 769, 17856, 13022, 725, 454, 268, 853, 2643, 2065, 14502, 885, 454, 268, 23959, 543, 22955, 454, 268, 7433, 20233, 719, 7151, 454, 24916, 267, 596, 786, 1265, 3730, 2959, 585, 2417, 5432, 1436, 593, 1169, 11249, 2511, 563, 5970, 596, 3893, 930, 22302, 942, 286, 30205, 707, 2773, 676, 2542, 4930, 593, 3811, 1603, 912, 268, 476, 2004, 5675, 13088, 281, 16797, 5903, 454, 268, 476, 278, 18963, 540, 22054, 12856, 454, 268, 476, 6078, 9293, 602, 616, 14568, 982, 6153, 454, 268, 476, 1321, 9669, 585, 14568, 6355, 5675, 454, 268, 476, 1015, 18049, 27190, 1389, 1411, 1058, 3680, 454, 268, 476, 736, 9669, 547, 13724, 707, 5675, 8605, 2032, 454, 12234, 267, 596, 949, 1265, 621, 3730, 547, 5077, 519, 6035, 24920, 1991, 547, 26446, 519, 1957, 547, 707, 14357, 1175, 547, 1118, 2386, 4986, 729, 14406, 2336, 1805, 3089, 538, 1603, 286, 2052, 1405, 2097, 909, 609, 2093, 547, 2328 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2564, 11285, 269, 834, 296, 3592, 2141, 1294, 15185, 1927, 547, 1865, 16245, 850, 14524, 269, 898, 1419, 7140, 856, 602, 1312, 4891, 723, 2152, 3823, 519, 4638, 2078, 543, 2899, 789, 616, 856, 538, 519, 1930, 267, 15185, 666, 960, 1927, 593, 513, 811, 17598, 4638, 1995, 2437, 3081, 21634, 2292, 563, 8170, 519, 5061, 1031, 585, 4965, 267, 28886, 5670, 545, 31520, 949, 581, 2404, 609, 16245, 850, 2042, 543, 824, 5061, 949, 581, 2655, 21114, 547, 2061, 713, 28658, 269, 17497, 2139, 31431, 1331, 1207, 335, 1886, 542, 267, 683, 325, 1794, 617, 821, 267, 543, 911, 345, 617, 821, 269, 634, 16496, 22515, 556, 340, 696, 820, 20127, 630, 1122, 267, 2770, 2135, 564, 710, 267, 521, 1068, 1537, 710, 267, 1612, 2135, 564, 710, 267, 524, 1388, 641, 1090, 264, 666, 849, 2014, 7965, 609, 11581, 267, 855, 789, 1522, 849, 723, 824, 1713, 4638, 2427, 2360, 267, 1519, 8519, 5391, 18480, 543, 606, 3073, 553, 8926, 563, 1103, 9038, 267, 519, 5354, 540, 19697, 568, 9658, 1540, 689, 519, 1449, 525, 267, 8754, 519, 2165, 968, 11687, 16238, 6100, 634, 9449, 568, 849, 3812, 538, 1507, 5666, 676, 519, 29427, 14189, 269, 634, 2504, 540, 713, 9449, 568, 6417, 676, 519, 20968, 31726, 543, 30783, 14189, 538, 519, 2634, 269, 634, 30783, 14189, 11392, 5528, 689, 519, 20968, 31726, 593, 875, 1454, 19697, 2115, 6721, 543, 10596, 713, 1344, 5196, 519, 1449, 2873, 3842, 6464, 543, 10399, 21883, 538, 519, 18072, 563, 763, 1101, 1900, 538, 8156, 519, 3461, 609, 11581, 568, 547, 1491, 513, 9488, 4638, 267, 2564, 267, 543, 26447, 1686, 269, 7726, 3534, 2231, 616, 2139, 547, 4217, 19353, 538, 13844, 1271, 3461, 1239, 269, 630, 8450, 19809, 4700, 21988, 2126, 540, 4638, 14524, 814, 1044, 7152, 547, 2087, 4638, 25055, 543, 9547, 267, 2087, 4638, 3344, 540, 2298, 540, 1272, 267, 2087, 2949, 2298, 540, 1272, 267, 543, 14867, 2589, 540, 4965, 269, 630, 8450, 9615, 8094, 5629, 513, 2347, 4638, 543, 2564, 1686, 814, 1044, 6192, 267, 3617, 8047, 2090, 1058, 581, 5342, 269, 769, 519, 3355, 6268, 540, 11581, 267, 10427, 8047, 4152, 568, 10355, 2556, 269, 1280, 1383, 267, 16796, 19697, 630, 663, 3006, 7139, 716, 514, 264, 568, 3335, 1152, 3730, 950, 519, 3461, 9727, 3834, 690, 517, 611, 531, 2934, 610, 1449, 7781, 693, 15577, 267, 610, 950, 4791, 1686, 568, 2303, 633, 269, 16952, 17441, 6268, 949, 1331, 11178, 18398, 9449, 538, 1346, 609, 513, 4791, 27421, 540, 30847, 610, 3617, 3987, 9584, 538, 1346, 9306, 609, 513, 6161, 585, 15176, 7280, 10307, 269, 1403, 519, 3461, 814, 711, 1044, 11117, 609, 513, 20188, 8470, 543, 5409, 28309, 573, 8598, 568, 16143, 267, 6482, 543, 3617, 29748, 547, 4835, 4915, 610, 3556, 5735, 568, 5227, 269, 769, 1034, 2665, 267, 513, 17895, 894, 5868, 666, 581, 3964, 609, 513, 2347, 4638, 543, 2564, 1686, 267, 2168, 6514, 267, 543, 3908, 610, 1100, 8047, 4152, 563, 2467, 568, 513, 2942, 9756, 540, 19697, 2157, 609, 9842, 2381, 4094, 1437, 1807, 28166, 268, 272, 630, 5183, 296, 268, 272, 264, 630, 10908, 826, 1188, 1696, 620, 476, 1960, 274, 282, 29928, 476, 1960, 274, 1070, 799, 568, 513, 2101, 605, 628, 19407, 5328, 3815, 543, 1634, 547, 581, 2404, 609, 11144, 540, 19473, 29912, 267, 607, 1134, 607, 824, 605, 628, 19407, 5328, 2188, 27417, 514, 4094, 267, 14668, 273, 268, 21468, 680, 553, 2381, 543, 3815, 23446, 630, 289, 517, 603, 517, 11860, 31463, 1696, 620, 476, 2735, 279, 282, 3794, 826, 1188, 1696, 620, 476, 1960, 274, 282, 29928, 476, 1960, 274, 282, 1546, 623, 1120, 7637, 1696, 620, 476, 1960, 278, 1040, 1703, 568, 513, 2318, 9756, 609, 5160, 9842, 2381, 4094, 1437, 1807, 630, 339, 5183, 264, 799, 568, 835, 540, 519, 2101, 27417, 514, 32673, 8069, 630, 10908, 826, 1188, 1696, 620, 476, 1960, 274, 1040, 3955, 14846, 8062, 723, 3254, 513, 9243, 1198, 540, 12214, 19697, 10682, 593, 519, 2101, 32378, 2188, 630, 29834, 1696, 620, 476, 1220, 276, 264, 855, 24101, 1429, 903, 8344, 543, 4088, 7245, 666, 3132, 513, 10151, 7646, 605, 18396, 698, 592, 656, 1198, 630, 4517, 3205, 1696, 620, 476, 1960, 276, 1916, 288, 3677, 3084, 1353, 267, 519, 2817, 2657, 543, 4317, 5020, 11752, 267, 6743, 693, 4638, 1599, 538, 2367, 543, 2021, 269, 275, 901, 1353, 23500, 476, 272, 267, 25148, 2367, 9907, 476, 1240, 547, 476, 6795, 543, 849, 13006, 606, 2333, 538, 11581, 609, 2085, 269, 3958, 267, 519, 1353, 1336, 513, 6175, 538, 4638, 7287, 609, 2810, 2085, 269, 9093, 538, 519, 9510, 20165, 630, 2004, 547, 476, 6795, 264, 941, 811, 982, 476, 274, 2053, 607, 2693, 547, 1995, 552, 14431, 2042, 543, 547, 1867, 1970, 4638, 7287, 3379, 609, 2367, 476, 1240, 547, 476, 3066, 269, 15232, 540, 4638, 14524, 729, 811, 2693, 1851, 2367, 538, 4057, 2168, 543, 3929, 1072, 269, 634, 1353, 849, 11943, 602, 4638, 14524, 568, 606, 1271, 1857, 1072, 6161, 543, 602, 3929, 2152, 616, 2693, 547, 3565, 547, 519, 1995, 4638, 14524, 563, 288, 1644, 3390, 568, 519, 1761, 946, 540, 19697, 607, 513, 18337, 21729, 617, 559, 1807, 543, 4550, 268, 836, 1400, 8665, 269, 4530, 16238, 814, 1044, 3254, 547, 957, 607, 513, 21729, 617, 559, 1807, 540, 18337, 16209, 693, 12214, 9830, 1282, 2587, 25086, 630, 2171, 6277, 267, 5062, 10468, 650, 1696, 620, 476, 1960, 280, 1040, 5015, 2367, 2016, 513, 19697, 13297, 1991, 547, 3635, 4152, 4951, 4824, 2773, 267, 607, 12290, 676, 5254, 2242, 3379, 547, 21897, 630, 305, 657, 8457, 1696, 620, 476, 1960, 280, 282, 30197, 267, 17566, 517, 1696, 620, 476, 1960, 280, 1040, 10029, 540, 835, 547, 1614, 3275, 540, 19697, 2126, 814, 849, 1044, 3254, 547, 2087, 2589, 540, 2587, 2088, 543, 3635, 1449, 2773, 630, 310, 340, 543, 654, 1263, 476, 1960, 274, 282, 2296, 1696, 620, 476, 1220, 271, 282, 631, 1779, 514, 267, 623, 7676, 267, 24261, 1696, 620, 476, 1220, 275, 1040, 7043, 518, 2165, 2090, 616, 25093, 269, 898, 568, 2219, 602, 19697, 10607, 2587, 2088, 1813, 922, 21729, 617, 559, 2218, 2962, 267, 799, 4386, 10446, 540, 519, 543, 4088, 13805, 267, 3842, 3625, 1228, 540, 700, 15178, 7513, 9055, 693, 519, 1591, 9245, 540, 519, 15466, 5347, 4887, 538, 606, 2962, 2147, 547, 519, 1019, 5139, 16552, 5090, 710, 7513, 7302, 14128, 3625, 619, 971, 607, 562, 604, 19947, 710, 630, 295, 718, 1696, 620, 476, 1220, 277, 1916, 13914, 540, 16245, 850, 14524, 607, 707, 1560, 779, 968, 13765, 2599, 1769, 1848, 634, 1973, 8043, 538, 519, 4050, 529, 616, 4130, 982, 824, 2694, 540, 519, 1560, 267, 865, 5817, 2175, 899, 17808, 16209, 267, 2295, 2068, 267, 610, 1164, 1973, 2604, 2356, 1397, 909, 607, 11581, 1354, 1945, 811, 3978, 899, 513, 2295, 4323, 610, 8482, 269, 11581, 568, 707, 1560, 779, 1259, 540, 6031, 267, 968, 306, 15036, 568, 4636, 1848, 1656, 519, 1592, 540, 1919, 602, 2014, 16245, 850, 14524, 666, 1331, 281, 0, 763, 3339, 2418, 585, 519, 16796, 570, 275, 281, 307, 274, 5223, 616, 25864, 5941, 538, 519, 3332, 1317, 6482, 540, 16796, 570, 274, 2157, 568, 711, 513, 5227, 6364, 538, 30847, 630, 272, 1040, 769, 513, 1804, 1353, 540, 5111, 476, 23884, 271, 2635, 2043, 630, 275, 1070, 519, 16796, 1863, 570, 275, 281, 16451, 570, 274, 5223, 729, 1472, 476, 274, 267, 607, 10353, 547, 513, 5223, 540, 476, 275, 538, 811, 982, 476, 5197, 271, 2550, 945, 1185, 22734, 11178, 26618, 543, 941, 8391, 561, 6253, 344, 6918, 710, 1395, 8839, 269, 634, 7222, 16796, 1863, 570, 275, 281, 16451, 570, 274, 5223, 538, 2550, 11173, 547, 4309, 964, 27364, 730, 11178, 568, 711, 1134, 20452, 267, 855, 519, 16796, 2698, 570, 275, 281, 307, 274, 5223, 568, 1634, 547, 581, 1970, 630, 2764, 267, 476, 2004, 1040, 769, 835, 1353, 267, 519, 16796, 2698, 570, 275, 281, 20135, 570, 274, 729, 827, 476, 2412, 538, 2550, 8391, 964, 27364, 730, 11178, 543, 827, 476, 1911, 538, 1346, 2921, 561, 6253, 344, 6918, 710, 1395, 8839, 630, 2568, 1040, 2986, 1576, 267, 713, 568, 4299, 676, 519, 12557, 540, 1973, 4015, 538, 6935, 547, 519, 12557, 540, 561, 2389, 686, 1675, 18333, 1258, 710, 7245, 267, 799, 568, 711, 4122, 4080, 269, 4033, 1883, 2188, 616, 519, 1134, 8153, 4057, 10063, 322, 2225, 540, 519, 16796, 2698, 570, 274, 22368, 630, 8618, 264, 543, 519, 7679, 3720, 609, 1463, 6482, 540, 1863, 570, 274, 630, 276, 1916, 763, 11178, 14189, 267, 13883, 1175, 2630, 519, 17566, 11945, 593, 519, 1970, 851, 540, 519, 8405, 267, 7472, 519, 11178, 10399, 538, 519, 1560, 269, 634, 11178, 14189, 568, 8032, 899, 513, 18173, 543, 12109, 1186, 3294, 1472, 519, 30439, 320, 609, 1079, 10981, 525, 7923, 547, 513, 3844, 568, 628, 16443, 269, 1879, 596, 3548, 3536, 5627, 22752, 971, 607, 6070, 543, 16872, 267, 713, 11178, 14189, 3096, 519, 7329, 617, 710, 547, 3132, 519, 11178, 10399, 269, 1703, 616, 1079, 1271, 2010, 540, 11178, 10399, 3812, 799, 1131, 581, 570, 275, 610, 774, 344, 549, 345, 710, 543, 570, 274, 610, 10222, 1675, 18333, 1258, 710, 630, 307, 274, 1040, 1452, 2272, 585, 1034, 540, 519, 11178, 10399, 1459, 538, 519, 18072, 269, 570, 274, 568, 519, 811, 3742, 540, 519, 10399, 543, 621, 5540, 10408, 10307, 563, 1103, 930, 2127, 540, 519, 1158, 267, 19381, 1242, 6070, 568, 606, 1898, 1259, 547, 2061, 22752, 10638, 267, 1212, 339, 24452, 267, 543, 2790, 29472, 566, 1813, 547, 22752, 10638, 538, 9176, 2021, 269, 769, 519, 2136, 2276, 267, 2705, 267, 1082, 1004, 723, 3908, 741, 6070, 6981, 610, 11074, 1210, 19381, 1242, 6070, 267, 543, 596, 991, 2614, 22752, 585, 519, 11178, 547, 1599, 5265, 269, 1323, 4430, 540, 22752, 267, 2705, 267, 568, 849, 5532, 547, 2799, 1981, 540, 11178, 2068, 267, 865, 9363, 538, 2039, 543, 9319, 10638, 610, 4430, 568, 1898, 563, 295, 1662, 574, 9369, 779, 2068, 568, 519, 1034, 1455, 16991, 2068, 5532, 547, 30847, 269, 769, 1249, 267, 519, 2783, 538, 799, 519, 16991, 1062, 9072, 519, 11178, 4481, 568, 4122, 1634, 607, 25300, 574, 9369, 779, 774, 8557, 4345, 269, 25300, 574, 9369, 779, 774, 8557, 4345, 568, 950, 519, 4761, 1062, 9072, 12489, 2047, 547, 519, 11178, 267, 4929, 6553, 540, 519, 11178, 14189, 543, 3976, 12145, 519, 14189, 779, 2702, 547, 3132, 922, 15518, 730, 10399, 563, 16352, 513, 11178, 2783, 568, 1100, 17552, 5371, 267, 855, 596, 2811, 711, 4805, 609, 713, 1072, 3390, 269, 4340, 547, 519, 1977, 774, 8557, 5948, 267, 811, 982, 476, 1321, 2600, 540, 519, 2551, 949, 1439, 909, 7231, 609, 513, 11178, 2783, 693, 930, 1448, 538, 741, 2729, 269, 1656, 11178, 2152, 666, 581, 14229, 21294, 281, 2986, 519, 5176, 476, 736, 2929, 4892, 2713, 609, 519, 2068, 267, 607, 1082, 607, 476, 2568, 2600, 1810, 1405, 1256, 8275, 789, 723, 621, 563, 288, 742, 559, 5573, 2598, 26918, 281, 1703, 616, 6402, 593, 713, 3135, 602, 666, 581, 3989, 607, 24988, 6402, 269, 901, 1797, 602, 594, 949, 4309, 513, 1507, 10243, 630, 520, 1100, 1942, 547, 596, 264, 952, 596, 6718, 1945, 950, 14467, 593, 519, 6402, 602, 1491, 596, 998, 547, 513, 1114, 3896, 269, 1635, 14467, 593, 519, 6402, 267, 596, 616, 538, 1100, 1259, 8078, 730, 547, 4444, 563, 8923, 8074, 281, 634, 1570, 593, 713, 3135, 568, 3177, 585, 21141, 5301, 1152, 543, 568, 711, 2564, 5796, 269, 11408, 5077, 707, 10629, 1354, 4098, 1022, 2732, 610, 3635, 1982, 563, 15648, 9736, 2661, 7749, 601, 17670, 3820, 0, 763, 2916, 538, 31123, 334, 2801, 1282, 5147, 666, 581, 24298, 607, 3905, 543, 3819, 563, 20809, 568, 538, 519, 5162, 538, 31123, 334, 2801, 543, 568, 3335, 519, 4411, 652, 3923, 540, 519, 1032, 269, 4303, 5503, 5021, 5210, 3328, 1472, 476, 4029, 9180, 630, 9262, 13790, 1070, 15029, 693, 3781, 476, 1240, 9180, 630, 4792, 13790, 264, 568, 3339, 563, 347, 21196, 5503, 2837, 1475, 1789, 269, 278, 9180, 476, 9262, 269, 273, 13790, 2008, 347, 301, 4774, 2837, 1475, 1240, 269, 275, 9180, 476, 4792, 13790, 2008, 24820, 2071, 2837, 1475, 2190, 269, 276, 9180, 476, 10602, 269, 272, 13790, 2008, 25238, 2905, 24106, 1475, 280, 269, 279, 31477, 2008, 347, 13510, 326, 11811, 1475, 1556 ]

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

[ 2015, 513, 13496, 5958, 585, 707, 3490, 6106, 269, 968, 4322, 17234, 616, 9735, 693, 530, 10107, 7509, 689, 519, 1560, 267, 799, 2636, 596, 547, 17570, 543, 7362, 1247, 5329, 596, 3636, 2223, 3081, 15616, 680, 514, 267, 945, 4967, 789, 666, 849, 2569, 9854, 543, 4887, 15319, 1145, 865, 596, 2461, 4712, 547, 2212, 856, 1586, 14182, 269, 6333, 18530, 873, 538, 519, 3819, 518, 585, 513, 8792, 1354, 19703, 547, 2417, 29677, 2476, 519, 6640, 28306, 563, 4407, 519, 3928, 540, 519, 3056, 3123, 540, 2669, 267, 9025, 2068, 267, 2860, 543, 5761, 2068, 267, 616, 2147, 538, 2021, 543, 2367, 267, 2021, 723, 1114, 2833, 269, 25016, 2860, 814, 16765, 2586, 782, 824, 2010, 540, 2860, 607, 519, 3056, 2014, 540, 2860, 2669, 538, 2021, 267, 4553, 676, 6089, 2860, 267, 897, 28030, 267, 25073, 267, 29897, 543, 17818, 11871, 269, 2755, 7296, 568, 519, 2101, 2014, 540, 5761, 2860, 267, 10838, 20060, 332, 3183, 2021, 519, 1981, 540, 3384, 2860, 568, 1614, 2053, 3152, 982, 10838, 20060, 332, 3183, 2367, 269, 6736, 713, 267, 6089, 2860, 3788, 519, 1455, 652, 2860, 538, 2021, 538, 2919, 2477, 267, 543, 568, 835, 540, 519, 811, 1271, 5312, 3676, 540, 2021, 267, 1247, 17818, 2860, 3788, 835, 540, 519, 1455, 652, 11871, 538, 3384, 2477, 267, 2404, 609, 1480, 13099, 650, 5448, 3644, 630, 295, 11901, 1070, 606, 1271, 16770, 10299, 2068, 269, 19690, 6669, 1927, 609, 9584, 3091, 519, 9153, 540, 9013, 891, 3676, 269, 4033, 1271, 1072, 2152, 585, 2021, 1331, 9025, 2068, 267, 4965, 267, 12110, 267, 21404, 543, 17350, 269, 589, 2101, 15641, 2939, 547, 14027, 2021, 781, 1072, 814, 1044, 741, 896, 10517, 19948, 538, 1382, 2090, 267, 606, 6528, 640, 1373, 9619, 538, 519, 2136, 2276, 543, 824, 7262, 6082, 676, 519, 10661, 540, 7740, 540, 17284, 538, 2021, 781, 1072, 1382, 543, 1804, 4336, 4791, 8062, 971, 607, 519, 6468, 781, 2657, 19541, 563, 306, 5495, 13612, 2464, 281, 4432, 12578, 25306, 267, 12854, 267, 28251, 267, 12314, 7548, 267, 8257, 540, 5253, 3163, 543, 5274, 12594, 267, 2160, 540, 8419, 267, 28150, 525, 6807, 269, 1744, 16336, 645, 269, 1975, 531, 3429, 267, 631, 10955, 267, 11483, 5425, 267, 7548, 267, 2168, 2069, 543, 1072, 282, 543, 12314, 8689, 267, 9098, 6468, 781, 4659, 585, 15557, 267, 6307, 25930, 7773, 5441, 853, 13550, 517, 267, 28446, 269, 1977, 10791, 2045, 5948, 1357, 3135, 269, 4659, 540, 6925, 693, 519, 2817, 6298, 12562, 1357, 3135, 563, 10673, 1405, 1491, 10565, 3268, 4805, 269, 1411, 991, 547, 960, 5702, 609, 606, 4810, 1072, 1416, 3318, 547, 6336, 2597, 267, 3226, 952, 596, 723, 824, 2564, 2042, 267, 1544, 547, 6336, 811, 982, 476, 1428, 547, 476, 736, 6550, 610, 1491, 6646, 593, 513, 2834, 4493, 269, 1323, 3355, 2638, 1575, 666, 2697, 2175, 602, 1522, 581, 4299, 676, 2732, 532, 543, 2597, 2530, 269, 5269, 2386, 596, 1265, 856, 875, 1454, 1995, 707, 1072, 1416, 3318, 814, 7231, 609, 6484, 269, 898, 781, 711, 2141, 1134, 4988, 538, 2564, 3506, 269, 1411, 949, 1616, 547, 2911, 547, 513, 10805, 2732, 23790, 1354, 25054, 593, 513, 2732, 563, 1103, 1840, 547, 2669, 9648, 538, 6379, 543, 27638, 267, 6379, 666, 1267, 538, 1082, 1875, 1922, 7614, 1072, 2042, 1519, 6188, 564, 3740, 31329, 27909, 267, 28341, 8084, 6379, 267, 840, 3410, 4074, 267, 29556, 3987, 267, 3834, 699, 6996, 529, 28040, 573, 30946, 267, 29998, 2400, 2829, 1519, 840, 324, 743, 10102, 807, 267, 543, 17350, 269, 3794, 984, 958, 267, 8374, 540, 6379, 27723, 856, 3118, 14774, 7972, 267, 609, 606, 6059, 476, 280, 269, 276, 2929, 2665, 540, 6379, 5829, 4576, 543, 476, 272, 269, 275, 2929, 2282, 2173, 1170, 525, 630, 31162, 341, 2526, 689, 4049, 1272, 18446, 8374, 1040, 1290, 4124, 540, 6379, 949, 581, 2168, 267, 2790, 267, 2804, 543, 1514, 269, 898, 568, 6059, 602, 476, 1015, 1700, 736, 2929, 2021, 786, 1020, 2168, 610, 2790, 9659, 1169, 1032, 267, 4611, 689, 8374, 540, 6379, 610, 16283, 1416, 269, 9182, 267, 3486, 8041, 723, 2919, 4441, 585, 6188, 13011, 1416, 563, 309, 2723, 775, 1996, 2021, 949, 1491, 1082, 3029, 267, 1519, 2168, 267, 4638, 267, 3929, 543, 5626, 543, 949, 2049, 2429, 519, 1272, 2275, 6847, 269, 23305, 5208, 949, 581, 11251, 538, 9086, 610, 3609, 267, 610, 581, 9836, 3765, 690, 2106, 344, 676, 14540, 1996, 2516, 540, 2021, 269, 3131, 7065, 21116, 540, 2123, 5208, 1331, 1533, 11051, 267, 21046, 267, 29872, 1734, 267, 14077, 543, 15982, 4891, 543, 28107, 3294, 2066, 513, 8552, 689, 7130, 267, 998, 18275, 267, 4638, 14213, 543, 22149, 267, 543, 2168, 2800, 547, 12638, 630, 325, 2438, 728, 1040, 898, 949, 849, 1331, 2686, 2853, 971, 607, 4775, 19058, 5969, 563, 13528, 534, 267, 6424, 282, 632, 6742, 601, 267, 21965, 282, 700, 864, 344, 267, 8176, 808, 5919, 1924, 518, 329, 558, 20345, 600, 267, 1772, 8475, 548, 282, 700, 677, 564, 6874, 773, 12040, 267, 11835, 2335, 773, 282, 19839, 328, 267, 5487, 807, 282, 966, 793, 520, 267, 7603, 727, 282, 12113, 26792, 267, 10496, 13196, 282, 645, 2001, 267, 12049, 23135, 282, 1773, 28026, 267, 6742, 2106, 282, 25845, 14024, 267, 8125, 16129, 630, 21776, 476, 1001, 273, 1040, 834, 17471, 645, 6324, 523, 540, 5274, 14466, 650, 558, 8785, 543, 13565, 15302, 2668, 28404, 269, 476, 1789, 281, 674, 1321, 1700, 293, 2537, 269, 8222, 281, 1015, 269, 6200, 277, 10768, 18192, 3147, 710, 269, 1001, 273, 269, 5881, 269, 271, 4649, 269, 20163, 476, 23211, 15886, 4649, 563, 26322, 7740, 20875, 30400, 11865, 267, 20875, 1072, 1416, 13345, 267, 20875, 1702, 827, 674, 303, 267, 20875, 270, 10998, 946, 540, 674, 303, 20875, 30400, 11865, 267, 20875, 1072, 1416, 13345, 267, 20875, 1702, 827, 674, 303, 267, 20875, 270, 10998, 946, 540, 674, 303, 20875, 1702, 827, 9422, 2115, 267, 20875, 30400, 11865, 267, 7602, 497, 270, 10998, 14774, 9019, 267, 7602, 497, 8934, 527, 8598, 267, 20875, 1072, 1416, 13345, 267, 20875, 6413, 5838, 625, 267, 20875, 1702, 827, 674, 303, 267, 20875, 270, 10998, 946, 540, 674, 303, 267, 20875, 590, 2316, 4152, 454, 301, 9173, 568, 3226, 1271, 1282, 6379, 547, 2327, 707, 1072, 543, 519, 1072, 540, 519, 4816, 269, 898, 781, 3339, 547, 2744, 2597, 1282, 6379, 1765, 2254, 1175, 1317, 540, 519, 3395, 21565, 267, 855, 1317, 596, 3513, 991, 6740, 3170, 585, 6089, 1922, 29623, 269, 634, 4659, 540, 6925, 630, 296, 6865, 264, 15565, 513, 2744, 540, 476, 1839, 547, 476, 3374, 6550, 538, 2021, 540, 3339, 2597, 950, 789, 1205, 9176, 282, 476, 2764, 547, 476, 2412, 6550, 538, 896, 7076, 2021, 282, 543, 693, 2547, 476, 1428, 6550, 538, 2021, 945, 616, 14968, 950, 789, 1205, 9176, 269, 634, 594, 6865, 814, 711, 2016, 513, 16252, 585, 606, 5580, 3970, 585, 17324, 2021, 267, 855, 930, 4966, 1698, 621, 607, 1970, 607, 476, 1724, 6550, 269, 1403, 596, 3514, 883, 713, 7121, 267, 1865, 875, 1454, 2597, 596, 1058, 2744, 609, 707, 1072, 1416, 3318, 563, 1103, 1840, 547, 5466, 4008, 6528, 640, 538, 1382, 267, 513, 1297, 540, 2477, 723, 1500, 2021, 781, 1072, 519, 1641, 540, 3084, 7341, 269, 1280, 3236, 538, 476, 1960, 272, 538, 519, 2136, 2276, 267, 519, 4972, 540, 2657, 543, 5274, 7896, 3964, 606, 8433, 593, 6468, 781, 2657, 630, 8582, 295, 264, 609, 519, 3804, 540, 5355, 519, 1072, 540, 2021, 538, 3013, 267, 998, 25640, 519, 2021, 781, 1072, 16786, 2429, 519, 4972, 267, 543, 824, 8041, 269, 769, 519, 8938, 1101, 2540, 519, 8433, 814, 1445, 338, 539, 593, 9207, 969, 5367, 2021, 269, 4746, 267, 538, 476, 1960, 275, 519, 15544, 585, 8376, 6513, 543, 10644, 630, 24922, 264, 3964, 922, 1378, 8433, 540, 6468, 781, 2657, 630, 8582, 295, 1070, 799, 729, 18005, 2278, 2213, 676, 519, 476, 1001, 271, 32285, 2657, 5516, 2920, 630, 3722, 288, 1916, 763, 4589, 685, 7418, 941, 607, 5205, 1765, 23852, 543, 7131, 281, 941, 3238, 538, 519, 11601, 540, 519, 1239, 282, 20700, 293, 267, 7131, 267, 590, 13270, 267, 543, 808, 293, 281, 941, 3743, 585, 519, 7664, 540, 519, 1239, 282, 20700, 293, 281, 5206, 519, 1957, 543, 1185, 3119, 5539, 585, 519, 1543, 282, 7131, 267, 590, 13270, 267, 654, 306, 267, 543, 808, 293, 281, 941, 3238, 538, 3246, 2143, 8292, 543, 2847, 2358, 519, 12377, 585, 1271, 7214, 1543, 282, 543, 782, 4589, 281, 941, 3238, 538, 519, 17748, 540, 713, 2689, 543, 1224, 543, 9516, 519, 3803, 12377, 563, 309, 2723, 775, 729, 10294, 513, 2518, 1072, 10862, 676, 519, 14959, 693, 922, 10198, 538, 476, 1960, 277, 267, 5373, 593, 1312, 519, 2136, 8315, 16672, 593, 519, 17594, 540, 5208, 1996, 2021, 630, 1960, 274, 264, 543, 519, 7840, 540, 1312, 519, 4139, 10985, 593, 15510, 543, 4886, 630, 290, 23879, 267, 476, 1960, 275, 264, 543, 519, 19549, 2622, 10985, 593, 6468, 630, 6826, 18268, 267, 476, 1960, 276, 264, 901, 729, 4553, 676, 922, 476, 1220, 273, 2622, 7797, 593, 20222, 543, 2657, 267, 799, 1445, 4513, 593, 15982, 7649, 543, 4638, 5208, 269, 11531, 267, 519, 6167, 11251, 891, 538, 606, 2962, 1544, 950, 922, 4937, 13909, 5293, 519, 7085, 3317, 1756, 16672, 538, 5181, 476, 1220, 271, 267, 799, 17251, 954, 620, 807, 834, 1729, 8396, 782, 3029, 540, 5208, 1996, 2021, 543, 547, 2936, 519, 13482, 593, 519, 26332, 1588, 540, 2353, 22553, 540, 26521, 1996, 6468, 2668, 2290, 540, 519, 7085, 3317, 1756, 17644, 630, 13270, 294, 476, 274, 264, 729, 519, 13319, 540, 4008, 7862, 543, 519, 16882, 540, 2021, 267, 799, 8179, 547, 9004, 782, 3029, 540, 5208, 1996, 2021, 607, 1134, 607, 7598, 595, 3633, 288, 310, 269, 901, 18931, 602, 14874, 5208, 267, 1519, 7130, 729, 513, 32563, 547, 8236, 782, 824, 3853, 540, 5355, 2021, 781, 1072, 269, 1717, 621, 729, 2663, 10404, 2213, 585, 711, 1519, 5208, 607, 606, 8763, 3077, 267, 519, 834, 332, 1170, 532, 3077, 2668, 769, 519, 6268, 540, 11022, 294, 476, 274, 267, 5208, 7283, 513, 2101, 11064, 547, 8236, 519, 3853, 269, 769, 519, 24288, 12655, 4886, 17644, 267, 799, 849, 12799, 1592, 519, 1644, 2152, 540, 7130, 267, 1126, 7365, 543, 19058, 5969, 267, 835, 3077, 568, 7396, 607, 834, 292, 3916, 3729, 782, 3029, 540, 5208, 1996, 782, 2021, 543, 6690, 538, 519, 1857, 543, 4357, 21384, 257, 676, 476, 10711, 271, 563, 2791, 666, 1205, 7513, 689, 10683, 2472, 899, 5144, 267, 18506, 543, 10381, 267, 27574, 3165, 609, 2571, 7633, 630, 338, 731, 1149, 267, 12979, 990, 625, 543, 13687, 282, 7633, 1590, 581, 10057, 547, 1205, 519, 4324, 540, 7513, 1070, 4158, 25984, 21364, 5388, 630, 7945, 607, 25989, 267, 28401, 16719, 543, 2490, 760, 16719, 264, 543, 1256, 31949, 630, 604, 621, 781, 9268, 609, 7513, 23253, 1040, 2368, 3536, 616, 7513, 1922, 677, 1881, 282, 602, 568, 267, 789, 2270, 3606, 7513, 269, 6201, 1331, 10538, 10433, 267, 1978, 24799, 267, 13386, 5144, 543, 824, 14254, 3536, 269, 13185, 547, 707, 1072, 1416, 3318, 827, 2436, 596, 1058, 1491, 7513, 9360, 952, 596, 1810, 1405, 1589, 596, 2811, 3478, 2614, 7513, 689, 1426, 2959, 563, 16248, 1644, 9072, 540, 11022, 294, 276, 941, 15730, 4332, 2557, 267, 15333, 21082, 9860, 543, 796, 5471, 991, 585, 1920, 4058, 630, 3602, 9860, 266, 684, 5471, 991, 815, 2698, 991, 1070, 799, 941, 16913, 676, 519, 15510, 10406, 540, 519, 6167, 4972, 540, 9483, 543, 4317, 16457, 269, 2552, 571, 21082, 946, 729, 851, 540, 25779, 476, 276, 289, 630, 684, 1392, 531, 1569, 547, 10285, 1072, 1070, 607, 25824, 1807, 476, 276, 269, 274, 269, 634, 6268, 540, 11022, 294, 276, 538, 476, 1001, 276, 4951, 602, 10838, 15185, 6165, 1185, 2799, 5001, 689, 476, 4649, 260, 547, 476, 5038, 10065, 609, 835, 540, 519, 4102, 4679, 538, 4427, 338, 24532, 4000, 630, 1724, 547, 476, 2764, 22103, 634, 1351, 3326, 776, 267, 796, 5471, 991, 267, 17379, 5594, 5001, 630, 1428, 547, 476, 1321, 22103, 769, 476, 1001, 276, 891, 9072, 2968, 851, 540, 12676, 294, 276, 630, 14054, 7862, 543, 16882, 264, 896, 27010, 476, 276, 269, 277, 281, 3550, 8471, 1569, 547, 4638, 543, 10285, 1072, 543, 10285, 2924, 267, 1141, 25824, 1807, 476, 276, 269, 277, 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 ]

[ 0, 12552, 547, 519, 744, 32342, 14583, 267, 5046, 268, 866, 568, 1818, 513, 2101, 32134, 269, 9182, 4213, 543, 2777, 6868, 7567, 616, 3168, 585, 519, 1655, 2994, 547, 8396, 713, 10770, 3644, 563, 3080, 540, 891, 2994, 568, 519, 946, 540, 16777, 5183, 2011, 1625, 13294, 563, 1103, 1489, 540, 713, 267, 513, 2487, 1353, 676, 519, 15544, 585, 8376, 6513, 543, 10644, 630, 24922, 264, 4951, 602, 910, 538, 1840, 547, 13968, 267, 1514, 26865, 267, 7254, 4345, 619, 543, 14910, 910, 16777, 5183, 2011, 1625, 13294, 3648, 2569, 5046, 268, 866, 6771, 563, 4913, 267, 972, 616, 1082, 26558, 1176, 14475, 2011, 1625, 13294, 4867, 14700, 519, 2344, 269, 1703, 2421, 16550, 3506, 547, 1831, 19288, 4966, 267, 9583, 16074, 563, 2026, 513, 1267, 267, 1625, 13294, 723, 1044, 12349, 602, 267, 693, 741, 1655, 267, 616, 23696, 267, 855, 693, 741, 8338, 789, 723, 1044, 1336, 547, 3132, 5739, 676, 1790, 20094, 563, 1692, 568, 5046, 268, 866, 3262, 888, 21607, 3274, 267, 5046, 268, 866, 568, 23197, 267, 543, 568, 5097, 3262, 1063, 1004, 7244, 538, 1360, 1507, 3644, 25202, 20256, 610, 20851, 11169, 269, 1403, 606, 7783, 1268, 568, 1459, 538, 513, 14605, 5887, 23624, 2230, 267, 519, 1981, 540, 23197, 6771, 568, 2362, 563, 1607, 568, 1317, 5386, 27829, 10936, 689, 606, 7783, 1268, 666, 2611, 21883, 267, 543, 3262, 547, 824, 3755, 540, 519, 2230, 811, 3362, 563, 763, 1981, 540, 6771, 568, 5207, 1141, 972, 568, 606, 16937, 540, 519, 968, 16248, 595, 338, 892, 912, 268, 18844, 4765, 4025, 454, 268, 19171, 3346, 5468, 454, 268, 4762, 1441, 610, 20583, 5624, 454, 1692, 666, 2011, 1625, 13294, 948, 547, 6370, 891, 5046, 268, 866, 10825, 2175, 888, 22137, 2469, 1394, 5756, 723, 1336, 602, 2011, 1625, 13294, 609, 16777, 5183, 12086, 7001, 8290, 269, 2859, 5063, 267, 513, 15509, 1353, 4951, 6405, 2963, 602, 16777, 5183, 2011, 1625, 13294, 2569, 5046, 268, 866, 3262, 1547, 901, 1353, 4951, 16777, 5183, 2011, 1625, 13294, 4389, 5046, 268, 866, 3262, 676, 476, 6078, 18336, 4047, 5183, 12086, 616, 513, 8810, 2029, 267, 543, 723, 1044, 1472, 2094, 519, 476, 3707, 271, 338, 269, 634, 2029, 568, 2241, 910, 14477, 11231, 26939, 593, 513, 1319, 269, 2334, 1797, 16777, 5183, 12086, 616, 10464, 543, 2653, 547, 3132, 563, 17387, 14688, 267, 972, 616, 1100, 5739, 676, 1790, 20094, 610, 6547, 689, 11319, 2011, 998, 16777, 5183, 12086, 269, 1656, 267, 538, 4334, 547, 9357, 9088, 630, 3467, 827, 873, 2663, 1070, 972, 616, 1082, 2090, 25643, 519, 7145, 540, 16777, 5183, 1625, 13294, 538, 9427, 5536, 689, 519, 2011, 563, 4047, 5183, 12086, 666, 7001, 3592, 782, 5536, 454, 6701, 594, 517, 6500, 543, 23520, 821, 5794, 8830, 13294, 15822, 888, 296, 517, 18402, 538, 1880, 2408, 547, 581, 606, 10694, 4781, 1317, 789, 2196, 5266, 23900, 267, 543, 798, 711, 991, 12086, 563, 4913, 267, 1082, 9263, 24595, 3621, 2090, 723, 1336, 602, 9357, 9088, 1711, 5739, 676, 1790, 20094, 267, 971, 607, 17645, 543, 6101, 24957, 269, 9182, 267, 519, 15509, 1281, 711, 4363, 519, 946, 540, 9357, 9088, 610, 17645, 2011, 1625, 13294, 585, 5046, 268, 866, 17846, 563, 302, 29773, 18402, 616, 1256, 4443, 547, 2491, 281, 789, 3132, 17645, 2047, 267, 543, 621, 568, 1134, 1634, 602, 17645, 28746, 3425, 267, 10130, 267, 2371, 267, 543, 1256, 3615, 267, 971, 607, 23541, 593, 5122, 12904, 563, 21607, 3274, 267, 2057, 1625, 13294, 602, 946, 9357, 9088, 610, 17645, 18402, 269, 1452, 1039, 268, 976, 2333, 1942, 267, 543, 949, 2965, 10460, 513, 1072, 1981, 563, 6701, 6481, 6103, 5794, 8830, 13294, 3026, 10354, 888, 5591, 269, 570, 5281, 856, 267, 2564, 3446, 2011, 1625, 13294, 616, 811, 1419, 982, 711, 513, 6725, 575, 9404, 1157, 563, 763, 1655, 1826, 540, 2011, 1625, 8595, 585, 3506, 547, 946, 547, 568, 513, 16777, 5183, 6882, 2011, 1625, 8595, 269, 16777, 5183, 6882, 2011, 1625, 13294, 616, 3810, 2500, 693, 19003, 856, 5536, 602, 616, 1256, 4130, 982, 5046, 268, 866, 563, 1692, 547, 960, 856, 519, 2450, 540, 519, 5794, 8830, 8595, 2877, 563, 3721, 476, 272, 281, 12763, 12025, 630, 24127, 264, 540, 18740, 454, 6524, 7446, 606, 2011, 1625, 8595, 585, 707, 4055, 267, 649, 991, 547, 917, 875, 1454, 2011, 519, 1625, 8595, 2115, 547, 2973, 563, 5575, 267, 2268, 519, 1858, 540, 519, 4055, 6989, 538, 4009, 15432, 269, 8921, 267, 9062, 713, 1297, 676, 519, 4463, 540, 519, 4055, 547, 1205, 519, 2698, 4320, 563, 7078, 281, 476, 280, 269, 272, 27331, 264, 676, 476, 280, 269, 272, 263, 310, 264, 25451, 4055, 609, 476, 273, 269, 278, 25451, 1164, 2781, 559, 902, 815, 476, 280, 269, 272, 1535, 476, 280, 269, 272, 1535, 476, 273, 269, 278, 284, 23417, 7750, 539, 15432, 563, 3721, 476, 273, 281, 12433, 519, 21957, 305, 10261, 539, 547, 11162, 519, 18740, 454, 9202, 267, 649, 991, 547, 5173, 875, 1454, 968, 12741, 892, 568, 2877, 689, 606, 2011, 1625, 8595, 547, 2973, 519, 4320, 540, 2011, 7229, 538, 1900, 476, 272, 563, 763, 2179, 540, 2011, 606, 2011, 1625, 8595, 568, 2111, 547, 2973, 568, 2016, 676, 922, 21957, 305, 630, 27662, 5794, 24822, 28951, 1040, 634, 2362, 513, 21957, 305, 267, 519, 811, 2011, 519, 2011, 1625, 8595, 666, 2973, 829, 5662, 563, 2414, 798, 713, 267, 649, 1101, 991, 547, 9062, 519, 4320, 540, 519, 4055, 676, 476, 276, 269, 634, 1297, 1310, 14921, 519, 4320, 540, 519, 4055, 630, 514, 15432, 7750, 539, 264, 676, 476, 276, 568, 519, 21957, 305, 2877, 630, 31957, 545, 15432, 829, 5662, 264, 689, 513, 1625, 8595, 547, 2973, 519, 4055, 563, 763, 2601, 649, 9062, 676, 476, 276, 568, 4213, 270, 5264, 9302, 1058, 2832, 547, 723, 782, 519, 2011, 538, 513, 4055, 19345, 543, 8719, 609, 1007, 2011, 693, 2547, 476, 276, 2053, 829, 5662, 269, 4475, 267, 649, 991, 547, 1265, 606, 2011, 1625, 8595, 602, 568, 3532, 2614, 547, 2973, 713, 1454, 2011, 563, 7078, 281, 476, 23417, 7750, 539, 15432, 1535, 476, 276, 815, 476, 9340, 276, 269, 4475, 267, 519, 21957, 305, 540, 519, 1625, 8595, 2877, 585, 519, 4055, 1058, 581, 693, 2547, 476, 9340, 276, 544, 274, 10774, 337, 563, 3721, 476, 274, 281, 4855, 16777, 5183, 5794, 8830, 8595, 4433, 264, 609, 513, 21957, 305, 693, 610, 26361, 7089, 6726, 730, 538, 5153, 476, 273, 454, 21020, 305, 16863, 616, 2016, 538, 1079, 7403, 267, 2901, 12945, 7397, 829, 5662, 630, 13967, 295, 264, 610, 12945, 3952, 829, 8792, 630, 20003, 300, 1040, 634, 21957, 305, 2877, 585, 519, 4055, 7229, 1657, 568, 538, 12945, 7397, 829, 5662, 630, 13967, 295, 1916, 9616, 281, 1403, 1152, 519, 18435, 300, 568, 2016, 267, 713, 666, 581, 10736, 547, 18328, 295, 676, 14921, 621, 676, 476, 272, 269, 278, 563, 763, 21957, 305, 540, 3532, 2011, 1625, 13294, 3335, 9832, 689, 476, 4335, 268, 12010, 544, 274, 10774, 712, 563, 2252, 519, 21957, 305, 2877, 568, 936, 713, 1297, 267, 2789, 2011, 1625, 13294, 949, 581, 2877, 563, 2690, 3236, 267, 835, 2349, 770, 2011, 1625, 8595, 609, 21957, 305, 540, 476, 279, 3445, 544, 274, 10774, 337, 1131, 1205, 2673, 547, 713, 476, 9340, 276, 544, 274, 10774, 337, 1297, 269, 17006, 606, 3606, 4130, 2011, 1625, 8595, 547, 519, 4055, 971, 607, 519, 590, 336, 1515, 1131, 1205, 519, 2698, 2011, 1625, 8595, 21957, 305, 547, 936, 519, 476, 9340, 276, 544, 274, 10774, 337, 1297, 563, 3721, 476, 275, 281, 6333, 30433, 5426, 540, 519, 5794, 8830, 13294, 454, 6624, 2011, 1625, 13294, 666, 1205, 10978, 593, 1164, 5468, 269, 898, 568, 1271, 547, 723, 606, 2011, 1625, 8595, 538, 519, 4055, 267, 971, 607, 606, 5604, 610, 513, 21514, 978, 3266, 558, 267, 602, 568, 711, 513, 19717, 269, 1411, 666, 1265, 875, 10978, 606, 2011, 1625, 8595, 568, 676, 10992, 922, 6846, 1377, 6027, 538, 28108, 269, 32506, 936, 476, 2568, 323, 289, 786, 1360, 2693, 581, 513, 19717, 563, 22818, 519, 7887, 2110, 5765, 540, 21957, 305, 4255, 568, 602, 789, 616, 2196, 593, 519, 1625, 8595, 781, 5207, 4259, 1152, 269, 634, 1966, 568, 602, 1082, 1625, 13294, 616, 865, 10978, 593, 1164, 602, 789, 3112, 581, 2196, 593, 741, 5207, 4259, 563, 19013, 267, 713, 10996, 643, 2478, 1625, 8595, 3549, 547, 1118, 513, 3810, 2500, 267, 855, 849, 3810, 26776, 1283, 4259, 267, 799, 789, 1287, 14441, 269, 769, 2259, 267, 1082, 1004, 786, 1265, 519, 5207, 4259, 1932, 26776, 543, 3079, 2196, 621, 538, 513, 2539, 4259, 563, 13014, 2386, 547, 2638, 519, 2011, 1625, 8595, 779, 6846, 1377, 593, 1164, 267, 607, 930, 2011, 1625, 8595, 2754, 779, 2344, 6846, 2157, 593, 2539, 5468, 267, 799, 568, 22801, 563, 27319, 5794, 8830, 13294, 454, 27319, 5794, 8830, 13294, 616, 593, 513, 1360, 2110, 1592, 540, 5227, 2011, 1625, 13294, 676, 11162, 21080, 12140, 267, 945, 960, 609, 3744, 689, 6167, 14684, 547, 6895, 543, 1732, 1174, 519, 2298, 540, 519, 2011, 602, 938, 1453, 2661, 267, 1451, 267, 543, 1404, 538, 563, 27319, 5794, 568, 513, 1514, 13055, 8149, 547, 4543, 1004, 13236, 2973, 2011, 563, 1432, 779, 1434, 585, 513, 1153, 267, 1590, 581, 1434, 585, 707, 5604, 267, 23999, 267, 13186, 610, 1753, 2336, 27319, 5794, 1625, 8595, 779, 16777, 5183, 12086, 7001, 1082, 2010, 540, 28634, 2011, 5533, 267, 1519, 20543, 607, 1507, 607, 476, 276, 6289, 2210, 637, 630, 272, 270, 1015, 628, 519, 2450, 540, 5046, 268, 866, 264, 547, 476, 1789, 32755, 630, 1492, 2450, 540, 14947, 1040, 634, 2898, 2039, 2882, 8290, 267, 4551, 267, 6751, 273, 269, 276, 267, 6751, 1015, 267, 4620, 23480, 267, 7452, 267, 543, 9044, 563, 2304, 3606, 15181, 3327, 6882, 666, 581, 3773, 593, 1283, 540, 519, 16777, 5183, 6882, 538, 782, 540, 12829, 5794, 779, 2472, 269, 634, 3327, 12086, 666, 10110, 966, 31237, 630, 14157, 8684, 17667, 3281, 2432, 264, 971, 607, 6101, 24957, 267, 5862, 6094, 2996, 267, 19386, 10173, 267, 610, 3819, 7738, 8069, 269, 12539, 12086, 849, 4894, 5212, 2293, 563, 27319, 5794, 779, 17514, 1222, 2011, 1625, 8595, 568, 519, 2349, 770, 267, 606, 4853, 3044, 1625, 8595, 3501, 585, 1804, 5624, 267, 899, 3506, 267, 10506, 543, 13646, 910, 621, 814, 513, 627, 25891, 21957, 305, 540, 476, 279, 3445, 332, 23326, 10774, 256, 898, 568, 849, 4998, 585, 1565, 5054, 267, 1317, 693, 1175, 476, 7906, 323, 289, 621, 568, 835, 540, 519, 9602, 652, 1625, 13294, 593, 519, 2344, 563, 27319, 5794, 779, 3532, 2349, 770, 22387, 2011, 1625, 8595, 568, 513, 1164, 14617, 2943, 11741, 2011, 1625, 8595, 267, 7738, 5624, 909, 547, 476, 5952, 338, 336, 332, 267, 609, 606, 11141, 21957, 305, 540, 476, 276, 5952, 332, 23326, 10774, 563, 7212, 519, 590, 336, 1515, 568, 519, 4130, 23013, 547, 1312, 519, 2349, 770, 543, 2349, 770, 22387, 267, 621, 1869, 24502, 513, 2462, 24362, 267, 1630, 8463, 513, 21957, 305, 540, 476, 25628, 332, 23326, 10774, 269, 901, 2306, 519, 590, 336, 1515, 519, 1158, 779, 1034, 1942, 15807, 2011, 1625, 8595, 269, 4706, 31933, 267, 2413, 1374, 267, 786, 3514, 9985, 538, 707, 5604, 267, 4928, 267, 13186, 610, 1753, 269, 8550, 1354, 814, 2973, 2011, 6743, 865, 1434, 256, 0, 17954, 752, 3905, 11849, 4356, 543, 1118, 3595, 3106, 513, 1283, 10862, 454, 27288, 18394, 3361, 676, 3905, 11849, 21279, 2789, 5321, 563, 306, 3198, 14011, 30264, 267, 715, 8160, 269, 1107, 634, 6052, 267, 30200, 543, 7849, 8249, 4972, 779, 630, 4932, 24520, 291, 264, 32645, 10406, 6499, 547, 7618, 7264, 547, 1118, 3595, 3106, 513, 1283, 10862, 713, 5162, 267, 2523, 950, 8741, 532, 540, 3905, 607, 1127, 610, 1071, 1023, 547, 2061, 23967, 269, 744, 32054, 10980, 5916, 609, 519, 2034, 1032, 540, 513, 3819, 5487, 15281, 29823, 4365, 4806, 568, 513, 2101, 6161, 585, 519, 32645, 10406, 543, 922, 4891, 563, 10527, 2916, 5222, 616, 1713, 269, 634, 5767, 772, 2529, 269, 667, 3754, 18554, 31698, 476, 1911, 2600, 540, 1715, 6792, 568, 538, 10980, 267, 543, 1018, 2370, 4764, 543, 6777, 649, 616, 3478, 713, 5162, 786, 711, 581, 2614, 547, 7485, 721, 856, 2223, 1767, 3557, 5983, 3122, 23718, 5062, 10111, 20321, 269, 968, 763, 2487, 30481, 538, 12548, 602, 10032, 7366, 540, 5321 ]

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

[ 22520, 616, 513, 10770, 1966, 538, 21896, 269, 6554, 5238, 723, 1500, 3356, 538, 7598, 1949, 543, 5773, 547, 1867, 873, 269, 1717, 267, 519, 4485, 8045, 991, 547, 581, 9738, 543, 15568, 269, 901, 1353, 23933, 519, 24536, 585, 519, 2079, 540, 3075, 22520, 538, 824, 30838, 2975, 338, 269, 1284, 5031, 519, 13766, 540, 5466, 3075, 22520, 538, 741, 2518, 2796, 543, 4227, 519, 8635, 538, 1569, 547, 11955, 1063, 2477, 269, 0, 763, 1523, 540, 2724, 849, 11498, 689, 519, 1448, 540, 2070, 540, 6208, 267, 16565, 513, 1871, 602, 4422, 3564, 519, 2804, 835, 281, 538, 519, 2013, 540, 519, 7969, 561, 4275, 267, 538, 1249, 267, 519, 19911, 531, 11551, 1379, 540, 519, 2025, 9304, 568, 1869, 9800, 543, 829, 1061, 1043, 267, 2523, 676, 1346, 945, 723, 1185, 519, 7872, 540, 1210, 2025, 11113, 543, 4871, 17084, 267, 8719, 2094, 476, 1220, 273, 676, 519, 20789, 269, 634, 561, 4275, 814, 1185, 513, 4956, 569, 1279, 968, 3249, 518, 892, 543, 814, 8854, 998, 513, 1279, 2796, 602, 814, 18005, 4957, 519, 3068, 540, 519, 2197, 269, 634, 561, 4275, 729, 538, 1249, 22885, 607, 513, 13075, 9304, 693, 519, 4098, 540, 519, 476, 866, 628, 2540, 267, 896, 519, 3943, 13567, 540, 19167, 594, 267, 538, 519, 2127, 540, 519, 2197, 7222, 547, 519, 2127, 22482, 1282, 519, 7969, 5859, 269, 898, 729, 7620, 1031, 676, 519, 840, 10595, 3202, 25267, 543, 729, 13604, 7550, 676, 519, 8003, 540, 7977, 799, 19618, 519, 2197, 538, 476, 5908, 272, 267, 7587, 5024, 519, 7969, 9304, 2394, 476, 1220, 273, 269, 2368, 2152, 971, 607, 519, 476, 1015, 561, 790, 2423, 723, 1831, 851, 540, 519, 1455, 9345, 563, 4322, 476, 1015, 561, 790, 609, 519, 1274, 786, 1118, 596, 3638, 281, 713, 568, 519, 1871, 454, 3719, 1018, 616, 789, 4502, 286, 898, 568, 835, 540, 519, 1034, 7839, 11113, 2429, 519, 2034, 3368, 540, 519, 2063, 2540, 267, 607, 621, 568, 835, 540, 519, 13074, 24331, 2152, 2479, 269, 634, 476, 1015, 561, 790, 1975, 27004, 729, 513, 7839, 11777, 689, 476, 4198, 272, 547, 476, 1220, 271, 267, 20511, 539, 538, 3592, 476, 273, 5479, 4559, 269, 898, 3788, 606, 1271, 3390, 585, 1169, 21689, 267, 543, 930, 15013, 616, 3226, 19311, 267, 971, 607, 1346, 540, 476, 4198, 275, 267, 799, 952, 538, 674, 1640, 1019, 1230, 1470, 2175, 666, 581, 4502, 811, 982, 476, 1911, 20789, 338, 267, 855, 519, 29925, 968, 322, 3326, 22663, 892, 547, 476, 736, 268, 1789, 20789, 338, 952, 538, 968, 21671, 892, 2175, 269, 5140, 563, 5194, 1383, 1454, 8179, 1310, 676, 19216, 568, 851, 540, 513, 1507, 5858, 540, 11113, 1500, 538, 476, 1960, 272, 267, 25992, 676, 606, 6654, 20511, 532, 5470, 281, 519, 9258, 540, 519, 11777, 267, 538, 1249, 267, 799, 814, 513, 17535, 25229, 1457, 267, 568, 538, 1249, 20328, 267, 6587, 547, 519, 1073, 2091, 267, 1141, 789, 1291, 269, 519, 1975, 10105, 267, 799, 2285, 519, 11777, 922, 2012, 563, 4322, 1880, 5434, 538, 1249, 723, 513, 1871, 1063, 476, 1789, 543, 476, 5611, 20789, 338, 269, 0, 7312, 1747, 538, 519, 17807, 593, 4864, 476, 6187, 267, 476, 5002, 271, 454, 2171, 616, 10583, 547, 3142, 596, 519, 1034, 4190, 543, 4977, 4786, 540, 519, 6801, 593, 707, 1554, 454, 4785, 4266, 3898, 281, 476, 279, 270, 277, 270, 5002, 271, 267, 5177, 4266, 3898, 281, 476, 277, 270, 279, 270, 5002, 271, 454, 2171, 4312, 5340, 519, 1034, 538, 3829, 1382, 2009, 593, 4864, 476, 277, 267, 476, 5002, 271, 267, 1934, 781, 1018, 938, 4966, 1336, 856, 912, 527, 729, 11728, 267, 896, 519, 1129, 540, 24955, 630, 5408, 1990, 31821, 543, 9855, 6178, 593, 4864, 476, 277, 267, 476, 5002, 271, 1040, 634, 2475, 7022, 729, 5261, 21025, 514, 2917, 630, 11847, 3016, 534, 1070, 519, 5177, 11788, 10579, 729, 7917, 717, 2444, 1195, 928, 4211, 1815, 559, 630, 8256, 969, 894, 1070, 15352, 24955, 2473, 7656, 729, 3056, 519, 7826, 5783, 563, 293, 13904, 1004, 4535, 593, 713, 1554, 1331, 595, 1815, 559, 5682, 4586, 763, 7831, 17963, 540, 25048, 701, 4512, 267, 9859, 676, 29527, 645, 269, 5576, 334, 2644, 871, 267, 729, 835, 540, 519, 1034, 9763, 7260, 5950, 538, 476, 5002, 271, 454, 3719, 1454, 811, 5949, 602, 1554, 281, 1265, 856, 2630, 10756, 7617, 941, 519, 1271, 2621, 540, 4864, 476, 6187, 267, 476, 5002, 271, 888, 12626, 12677, 2520, 19398, 545, 626, 543, 2483, 23389, 19784, 543, 22267, 630, 323, 19601, 4002, 4864, 476, 6187, 267, 476, 5002, 271, 519, 1554, 540, 519, 3018, 729, 11728, 563, 4002, 4864, 476, 6187, 267, 476, 5002, 271, 519, 1990, 31821, 1129, 729, 24955, 563, 4002, 4864, 476, 6187, 267, 476, 5002, 271, 519, 2475, 5518, 729, 5261, 21025, 514, 2917, 630, 11847, 3016, 534, 1916, 4002, 4864, 476, 6187, 267, 476, 5002, 271, 519, 5177, 11788, 10579, 729, 7917, 717, 2444, 1195, 928, 4211, 1815, 559, 630, 8256, 969, 894, 1916, 4002, 4864, 476, 6187, 267, 476, 5002, 271, 15352, 24955, 2473, 7656, 729, 3056, 519, 7826, 5783, 563, 4002, 4864, 476, 6187, 267, 476, 5002, 271, 1896, 4583, 1004, 941, 4535, 1519, 267, 595, 1815, 559, 5682, 563, 293, 13904, 1004, 5747, 593, 4864, 476, 6187, 267, 476, 5002, 271, 1331, 267, 30247, 17389, 321, 330, 928, 19816, 269, 0, 2710, 3733, 4828, 2336, 2710, 711, 3653, 942, 269, 5192, 513, 2347, 1957, 2221, 563, 5978, 3056, 2688, 1603, 3028, 2488, 2688, 2854, 4574, 538, 476, 3199, 266, 10459, 269, 11352, 3594, 267, 1382, 4574, 267, 2165, 4574, 267, 1433, 8039, 267, 10467, 267, 12031, 267, 5098, 610, 3573, 4744, 31277, 1299, 938, 4274, 13673, 299, 5830, 786, 3362, 5965, 513, 1957, 2687, 547, 707, 4170, 563, 2791, 3580, 1205, 707, 1164, 2298, 17096, 6954, 1957, 2687, 547, 707, 21120, 256, 3143, 18409, 3333, 527, 256, 2336, 307, 8084, 281, 1103, 519, 1101, 11000, 267, 649, 5941, 519, 1739, 10839, 676, 3627, 4563, 532, 281, 10214, 952, 513, 1268, 6257, 7574, 2833, 538, 519, 2930, 1893, 540, 2575, 267, 646, 568, 1102, 716, 10503, 3929, 2833, 799, 646, 814, 4121, 547, 12314, 609, 1880, 16443, 673, 4992, 16638, 519, 15795, 11000, 267, 649, 14059, 1079, 4773, 540, 2575, 676, 1101, 6947, 547, 873, 543, 9188, 21564, 26132, 7574, 2934, 543, 938, 3929, 3210, 547, 873, 269, 1284, 1287, 5941, 519, 935, 3667, 540, 28205, 1079, 4773, 543, 875, 713, 4299, 543, 4957, 938, 5114, 547, 891, 4773, 269, 7312, 7084, 568, 547, 3442, 835, 7574, 5888, 602, 568, 711, 593, 519, 1576, 6947, 1592, 663, 547, 1935, 707, 7634, 540, 713, 4062, 538, 519, 1482, 6073, 607, 649, 1705, 538, 17976, 476, 277, 7868, 5888, 1590, 2097, 689, 513, 5375, 2575, 2245, 543, 666, 581, 538, 1022, 9135, 263, 12218, 673, 476, 272, 2073, 476, 272, 12563, 267, 4224, 267, 15690, 267, 1402, 267, 3092, 269, 476, 273, 15426, 769, 519, 1101, 851, 540, 713, 7084, 596, 786, 2277, 1168, 1002, 596, 5873, 1210, 519, 2930, 1893, 602, 596, 723, 4121, 538, 713, 1576, 269, 1215, 798, 519, 23855, 673, 2934, 540, 707, 6074, 4062, 1831, 606, 3929, 1995, 585, 596, 607, 513, 26575, 286, 2791, 786, 1287, 1382, 519, 5888, 543, 3605, 8726, 596, 666, 827, 519, 2796, 538, 6518, 519, 4062, 729, 7768, 269, 1548, 5888, 531, 2553, 941, 1031, 547, 1711, 713, 4062, 1993, 2575, 543, 1018, 1522, 519, 21917, 723, 4941, 547, 5968, 286, 1215, 1281, 519, 2796, 514, 799, 519, 4062, 729, 2854, 2285, 2495, 547, 519, 2575, 543, 1860, 610, 1689, 707, 5114, 1729, 602, 4062, 540, 2575, 286, 9603, 547, 519, 2470, 540, 713, 7084, 267, 5225, 1745, 1863, 547, 2328, 596, 816, 599, 1210, 519, 1101, 1268, 2239, 1106, 269, 21980, 3894, 281, 16186, 281, 476, 8099, 271, 547, 476, 6344, 271, 1913, 2026, 513, 4358, 1448, 267, 581, 2386, 547, 24559, 3054, 609, 519, 5888, 676, 6947, 547, 621, 269, 1411, 15884, 991, 547, 6338, 519, 4062, 602, 596, 723, 5697, 1210, 519, 2930, 1893, 602, 596, 17647, 9715, 689, 1362, 543, 1683, 707, 3355, 5114, 547, 621, 282, 596, 786, 1287, 1683, 606, 30161, 10698, 540, 875, 707, 1702, 540, 519, 3140, 543, 2686, 2796, 5540, 707, 5114, 1729, 519, 5888, 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 ]

[ 6851, 11764, 3799, 13246, 267, 3077, 4917, 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 12163, 31176, 495, 418, 490, 485, 20644, 476, 6812, 910, 4083, 269, 13127, 371, 355, 20721, 489, 420, 377, 361, 21211, 31033, 4970, 366, 454, 21211, 31033, 4970, 366, 7511, 26266, 355, 20721, 489, 420, 377, 361, 418, 497, 491, 30853, 15159, 418, 488, 488, 21211, 31033, 4970, 366, 31176, 491, 30837, 351, 7511, 420, 489, 354, 23946, 366, 14748, 21211, 31033, 420, 377, 361, 26175, 375, 28996, 21211, 31033, 4970, 366, 7511, 16533, 378, 421, 481, 357, 12486, 13644, 371, 27936, 18263, 487, 22047, 16583, 30936, 14395, 508, 27064, 364, 21211, 31033, 4970, 366, 26266, 355, 20721, 489, 420, 377, 361, 418, 497, 491, 30853, 7511, 20693, 509, 420, 25693, 12486, 30006, 498, 417, 28187, 8147, 27447, 24662, 21211, 31033, 4970, 366, 257, 29582, 3698, 326, 257, 25520, 12255, 21211, 273, 8147, 13644, 354, 16583, 30936, 16533, 484, 13213, 498, 18713, 508, 26266, 355, 20721, 489, 420, 377, 361, 4970, 353, 12916, 491, 23523, 501, 28996, 7511, 14756, 497, 31563, 257, 322, 3698, 326, 629, 257, 12486, 692, 419, 353, 374, 28032, 489, 476, 272, 16088, 692, 27447, 24662, 281, 521, 815, 834, 29582, 3698, 326, 2580, 737, 815, 476, 273, 454, 27447, 24731, 281, 1109, 257, 322, 3698, 326, 629, 4840, 419, 353, 374, 28032, 489, 476, 273, 16088, 692, 27447, 24662, 281, 521, 815, 834, 331, 337, 331, 846, 636, 724, 2580, 737, 815, 476, 277, 454, 27447, 24731, 281, 1109, 257, 636, 724, 331, 337, 331, 846, 4840, 24372, 30522, 494, 10254, 370, 16088, 692, 272, 10922, 737, 2999, 521, 32324, 10922, 476, 1911, 876, 454, 20701, 454, 5035, 8827, 912, 825, 1219, 9258, 29381, 24552, 318, 272, 4311, 267, 521, 281, 1193, 267, 562, 281, 703, 264, 9847, 1193, 912, 1038, 8173, 1038, 476, 25913, 25622, 13601, 16088, 21211, 31033, 4970, 366, 10254, 485, 29830, 485, 454, 1038, 17276, 501, 370, 25426, 368, 14035, 491, 23521, 480, 18021, 355, 744, 18217, 264, 5236, 376, 504, 476, 10429, 370, 18809, 715, 476, 20992, 21211, 31033, 4970, 366, 521, 476, 7511, 421, 499, 379, 18021, 355, 8147, 21211, 31033, 4970, 366, 10254, 485, 29830, 485, 16583, 30936, 20992, 419, 374, 379, 26233, 356, 28793, 25426, 368, 14035, 491, 23521, 480, 18021, 355, 27818, 9463, 480, 26033, 481, 420, 369, 482, 13161, 503, 24724, 5405, 505, 454, 1038, 22614, 358, 374, 25426, 368, 14035, 491, 23521, 480, 18021, 355, 744, 18217, 264, 5236, 376, 504, 476, 4970, 353, 14748, 21211, 31033, 4970, 366, 10254, 485, 29830, 485, 7511, 26233, 375, 421, 499, 379, 18021, 355, 20992, 715, 476, 25707, 1038, 2433, 12407, 521, 912, 1038, 2433, 12407, 562, 912, 1038, 2433, 8873, 912, 1038, 8173, 1038, 2132, 521, 19559, 281, 316, 1341, 521, 11468, 333, 6540, 825, 1219, 9258, 29381, 24552, 318, 273, 4311, 267, 521, 281, 1193, 267, 562, 281, 703, 264, 9847, 1193, 912, 1038, 8173, 1038, 476, 25913, 25622, 11590, 490, 16088, 28578, 23989, 421, 479, 491, 31308, 484, 418, 489, 376, 26406, 354, 454, 1038, 17276, 501, 370, 25426, 368, 14035, 491, 23521, 480, 18021, 355, 744, 18217, 264, 5236, 376, 504, 22614, 374, 379, 26233, 356, 421, 479, 491, 31308, 484, 521, 13127, 373, 370, 418, 371, 375, 20693, 510, 8147, 12916, 379, 17958, 419, 374, 379, 26233, 356, 28793, 25426, 368, 5405, 505, 454, 1038, 22614, 358, 374, 25426, 368, 14035, 491, 23521, 480, 18021, 355, 744, 18217, 264, 5236, 376, 504, 476, 13161, 364, 417, 375, 374, 7511, 20001, 483, 20693, 358, 759, 476, 12916, 379, 17958, 744, 18217, 264, 13127, 353, 356, 16533, 493, 7511, 30903, 507, 14035, 500, 419, 358, 374, 25426, 368, 25707, 1038, 2433, 12407, 521, 912, 1038, 2433, 12407, 562, 912, 1038, 2433, 8873, 912, 1038, 8173, 1038, 759, 815, 29129, 1038, 1948, 585, 1775, 538, 2039, 3799, 267, 7003, 4433, 15892, 1038, 1948, 672, 759, 6910, 4433, 5157, 7481, 1038, 1948, 585, 1775, 538, 2039, 3799, 2187, 1038, 1948, 672, 759, 6910, 4433, 5157, 20285, 1038, 1948, 476, 10254, 358, 17958, 418, 365, 480, 12916, 503, 13213, 494, 28997, 501, 8147, 23746, 23284, 28997, 478, 25060, 500, 28786, 419, 510, 479, 25707, 1038, 585, 1775, 538, 2039, 3799, 267, 562, 1341, 7003, 4433, 15892, 2018, 759, 6910, 4433, 5157, 4939, 7003, 4433, 13580, 2020, 1038, 2132, 1412, 8339, 21860, 263, 637, 2020, 825, 1219, 9258, 29381, 24552, 318, 274, 4311, 267, 521, 281, 1193, 267, 562, 281, 703, 264, 9847, 1193, 912, 1038, 8173, 1038, 476, 25913, 25622, 4970, 487, 16088, 21211, 31033, 4970, 366, 421, 479, 491, 31308, 484, 418, 489, 376, 26406, 354, 454, 1038, 17276, 501, 370, 25426, 368, 14035, 491, 23521, 480, 18021, 355, 744, 18217, 264, 16088, 22614, 374, 379, 26233, 356, 421, 479, 491, 31308, 484, 521, 13127, 373, 370, 418, 371, 375, 20693, 510, 8147, 12916, 379, 17958, 419, 374, 379, 26233, 356, 28793, 25426, 368, 5405, 505, 454, 1038, 22614, 358, 374, 25426, 368, 14035, 491, 23521, 480, 18021, 355, 744, 18217, 264, 16088, 13127, 479, 485, 18777, 378, 23523, 359, 27064, 363, 13213, 485, 31801, 489, 18809, 19540, 483, 11858, 502, 25263, 504, 420, 351, 360, 9463, 488, 28793, 18713, 508, 418, 498, 370, 8147, 454, 1038, 13127, 484, 483, 11858, 502, 18809, 420, 485, 367, 16533, 495, 12571, 490, 28793, 11858, 502, 21928, 421, 499, 379, 18021, 355, 20992, 715, 13127, 23687, 715, 6629, 272, 476, 7511, 4970, 353, 14748, 21211, 31033, 4970, 366, 27818, 13161, 364, 417, 375, 374, 421, 499, 379, 18021, 355, 20992, 715, 476, 7511, 759, 28859, 506, 478, 28884, 12916, 379, 17958, 31176, 491, 22047, 421, 499, 379, 18021, 355, 715, 6629, 272, 476, 7511, 759, 5236, 376, 487, 8147, 454, 1038, 13127, 505, 510, 27882, 353, 420, 485, 367, 16533, 495, 12916, 379, 17958, 744, 18217, 264, 476, 7511, 30903, 507, 14035, 500, 419, 358, 374, 25426, 368, 25707, 1038, 2433, 12407, 521, 912, 1038, 2433, 12407, 562, 912, 1038, 2433, 8873, 912, 1038, 8173, 1038, 759, 815, 834, 5016, 1038, 1948, 585, 1775, 538, 2039, 3799, 267, 7003, 4433, 15892, 1038, 1948, 672, 759, 6834, 521, 5157, 2639, 1038, 1948, 585, 1775, 538, 2039, 3799, 2187, 1038, 1948, 672, 759, 6834, 521, 5157, 6540, 1038, 1948, 476, 10254, 358, 17958, 418, 365, 480, 12916, 503, 13213, 494, 28997, 501, 8147, 23746, 23284, 28997, 478, 25060, 500, 28786, 419, 510, 479, 25707, 1038, 585, 1775, 538, 2039, 3799, 267, 562, 1341, 7003, 4433, 15892, 2018, 759, 6834, 521, 5157, 4939, 7003, 4433, 264, 6540, 1038, 2132, 759, 7531, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 521, 815, 834, 29582, 3698, 326, 4840, 825, 737, 815, 476, 273, 454, 825, 3070, 815, 8827, 4590, 825, 1820, 4433, 1828, 18622, 2091, 29381, 24552, 318, 272, 4433, 267, 737, 4917, 825, 1820, 4433, 1828, 18622, 2091, 29381, 24552, 318, 273, 4433, 267, 737, 4917, 825, 1820, 4433, 1828, 18622, 2091, 29381, 24552, 318, 274, 4433, 267, 737, 4917, 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 12163, 31176, 495, 418, 490, 485, 20644, 476, 5038, 269, 17276, 365, 480, 272, 266, 273, 266, 2507, 266, 333, 454, 418, 365, 480, 476, 272, 266, 273, 266, 1862, 266, 333, 5236, 376, 490, 28884, 418, 365, 480, 21251, 420, 25693, 12916, 379, 17958, 18263, 502, 30522, 353, 25622, 18998, 1721, 18998, 6112, 18998, 604, 18998, 12828, 18998, 1873, 3558, 18998, 13826, 419, 511, 487, 10429, 367, 421, 498, 362, 21211, 9463, 488, 23521, 350, 10524, 370, 10254, 353, 13161, 511, 13644, 511, 9463, 354, 27818, 288, 286, 289, 281, 290, 24724, 25707, 419, 353, 374, 28032, 489, 476, 272, 16088, 692, 27447, 24662, 281, 562, 815, 476, 274, 454, 27447, 24731, 281, 1109, 277, 454, 419, 353, 374, 28032, 489, 476, 273, 16088, 454, 27447, 24662, 281, 562, 815, 476, 280, 454, 27447, 24731, 281, 1109, 3393, 692, 30522, 494, 10254, 370, 16088, 692, 272, 10922, 562, 1109, 27045, 476, 1911, 876, 454, 20701, 454, 5035, 8827, 912, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 269, 637, 815, 476, 271, 692, 825, 1219, 2040, 301, 4548, 4311, 267, 562, 281, 703, 264, 9847, 703, 912, 1038, 8173, 1038, 476, 20881, 496, 25051, 496, 25622, 1341, 476, 20881, 375, 20001, 495, 31033, 419, 509, 511, 420, 371, 363, 27818, 14756, 486, 27882, 351, 20881, 496, 25051, 496, 24724, 454, 1038, 17276, 501, 370, 25426, 368, 14035, 491, 23521, 480, 18021, 355, 744, 3799, 264, 5236, 376, 504, 476, 18777, 350, 28997, 501, 562, 1341, 630, 333, 268, 272, 264, 1341, 3267, 1341, 476, 273, 1341, 476, 272, 28859, 506, 478, 28884, 19764, 478, 12571, 363, 562, 476, 14748, 20881, 496, 25051, 496, 16583, 30936, 25707, 1038, 22614, 358, 374, 25426, 368, 14035, 491, 23521, 480, 18021, 355, 744, 3799, 264, 5236, 376, 504, 476, 20881, 496, 25051, 496, 418, 371, 365, 18021, 355, 20001, 378, 28996, 562, 5236, 376, 490, 419, 367, 375, 14756, 509, 12916, 379, 17958, 744, 3799, 264, 13127, 353, 356, 16533, 493, 7511, 30903, 507, 14035, 500, 419, 358, 374, 25426, 368, 454, 1038, 2433, 12407, 562, 912, 1038, 2433, 8873, 912, 1038, 8173, 1038, 562, 3436, 476, 272, 543, 1582, 27904, 301, 4548, 3799, 910, 476, 272, 994, 1038, 1582, 269, 637, 6834, 562, 454, 1038, 2132, 1582, 269, 637, 7531, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 562, 815, 476, 280, 454, 825, 3070, 815, 8827, 4590, 825, 1820, 4433, 1828, 27904, 301, 4548, 3799, 4917 ]

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

[ 11494, 8548, 1170, 22710, 3890, 4917, 1038, 1820, 2891, 10900, 955, 268, 5602, 1038, 585, 513, 538, 1582, 269, 1952, 2002, 906, 8217, 912, 2018, 1820, 2891, 297, 984, 9517, 281, 834, 1341, 513, 12459, 984, 2839, 994, 2018, 1820, 2891, 19613, 281, 834, 1341, 1193, 5416, 7456, 6327, 4917, 2018, 1820, 2891, 20360, 578, 10671, 6479, 281, 834, 1341, 1193, 5416, 9884, 785, 578, 4917, 2018, 1820, 2891, 8649, 870, 16041, 281, 834, 1341, 1193, 5416, 269, 26920, 318, 2903, 539, 4917, 2018, 1820, 2891, 299, 1933, 942, 281, 834, 1341, 1193, 5416, 269, 2903, 22710, 4917, 2018, 1820, 2891, 307, 30638, 6967, 4390, 281, 834, 1341, 1193, 5416, 269, 8145, 8724, 318, 5115, 13369, 4917, 2018, 1820, 2891, 6635, 337, 2526, 281, 834, 1341, 1193, 5416, 269, 1952, 2002, 618, 318, 11034, 4917, 2018, 1820, 2891, 12831, 691, 675, 281, 834, 1341, 1193, 5416, 269, 1952, 2002, 618, 318, 754, 4917, 2018, 1820, 2891, 10900, 955, 268, 5602, 1038, 1820, 2891, 10831, 540, 9486, 14406, 2433, 257, 1341, 1193, 4311, 26098, 20311, 318, 13388, 3298, 8548, 1170, 539, 3890, 4917, 1038, 1820, 2891, 290, 636, 11494, 4413, 942, 281, 834, 266, 1193, 4311, 26098, 6831, 636, 11494, 8548, 1170, 22710, 3890, 11723, 825, 1219, 1265, 20311, 318, 13388, 3298, 8548, 1170, 539, 4311, 2187, 1038, 1293, 815, 476, 271, 454, 1038, 585, 513, 538, 1582, 269, 1952, 2002, 906, 8217, 912, 2018, 952, 513, 269, 1952, 2002, 618, 318, 754, 3436, 513, 9884, 785, 578, 314, 272, 14158, 3546, 1293, 815, 1293, 1341, 476, 272, 454, 1038, 2132, 1293, 692, 825, 1219, 1265, 6831, 636, 11494, 8548, 1170, 22710, 4311, 2187, 1038, 4413, 22710, 815, 476, 271, 454, 1038, 585, 513, 538, 1582, 269, 1952, 2002, 906, 8217, 912, 2018, 952, 513, 269, 1952, 2002, 618, 318, 754, 3436, 513, 9884, 785, 578, 314, 272, 14158, 3546, 4413, 22710, 815, 4413, 22710, 1341, 630, 320, 269, 1952, 2002, 618, 318, 754, 910, 513, 9884, 785, 578, 314, 272, 7481, 1038, 2132, 4413, 22710, 7531, 5035, 2561, 2002, 618, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 13393, 318, 11034, 267, 13393, 318, 754, 2073, 2816, 318, 2839, 267, 4087, 267, 6885, 267, 2179, 318, 2903, 539, 267, 4452, 22710, 267, 6967, 318, 5115, 13369, 2187, 1038, 1582, 269, 1952, 2002, 618, 318, 11034, 476, 815, 13393, 318, 11034, 454, 1038, 1582, 269, 1952, 2002, 618, 318, 754, 815, 13393, 318, 754, 454, 1038, 1582, 12459, 984, 2839, 815, 2816, 318, 2839, 454, 1038, 1582, 7456, 6327, 815, 4087, 454, 1038, 1582, 9884, 785, 578, 815, 6885, 454, 1038, 1582, 269, 26920, 318, 2903, 539, 815, 2179, 318, 2903, 539, 454, 1038, 1582, 269, 2903, 22710, 815, 4452, 22710, 454, 1038, 1582, 269, 8145, 8724, 318, 5115, 13369, 815, 6967, 318, 5115, 13369, 7531, 3698, 1118, 318, 2675, 7359, 5560, 18182, 267, 14903, 267, 1244, 582, 267, 29746, 267, 2816, 8266, 267, 1376, 22710, 267, 1376, 29223, 267, 4358, 318, 2903, 2187, 825, 782, 7272, 6372, 318, 4650, 902, 815, 1711, 318, 4650, 902, 27203, 984, 8266, 994, 825, 5727, 928, 539, 547, 1039, 519, 942, 547, 1205, 547, 270, 5228, 1244, 582, 693, 4098, 270, 754, 540, 1554, 267, 543, 6148, 2063, 29746, 693, 1439, 540, 1554, 12163, 825, 795, 20189, 1662, 815, 31460, 825, 585, 795, 538, 2816, 8266, 912, 1038, 795, 20189, 1662, 14728, 12459, 984, 2839, 316, 815, 795, 454, 825, 10888, 318, 4650, 16229, 815, 6218, 6831, 739, 15058, 318, 718, 318, 4650, 902, 263, 718, 7272, 6372, 318, 4650, 902, 267, 14903, 267, 1244, 582, 267, 29746, 267, 795, 20189, 1662, 267, 1376, 22710, 267, 1376, 29223, 267, 4358, 318, 2903, 994, 825, 10888, 318, 4650, 815, 782, 7272, 6372, 318, 4650, 902, 314, 7773, 940, 318, 4650, 16229, 2639, 825, 13393, 8266, 815, 1118, 318, 1952, 2002, 618, 8217, 263, 7773, 940, 318, 4650, 267, 9920, 267, 14903, 267, 1244, 582, 267, 29746, 267, 795, 20189, 1662, 267, 1376, 22710, 267, 1376, 29223, 267, 4358, 318, 2903, 994, 825, 8430, 815, 21480, 263, 1952, 2002, 618, 8266, 267, 795, 20189, 1662, 267, 2816, 8266, 994, 825, 2132, 8430, 7531, 3698, 1711, 318, 4650, 902, 27203, 984, 8266, 2187, 825, 795, 318, 279, 318, 1015, 815, 11713, 825, 795, 318, 1015, 318, 1321, 815, 11713, 825, 795, 318, 1321, 318, 1691, 815, 11713, 825, 795, 318, 1691, 318, 1626, 815, 11713, 825, 795, 318, 1626, 318, 1240, 815, 11713, 825, 585, 2816, 538, 2816, 8266, 912, 1038, 952, 2816, 9884, 785, 578, 314, 271, 316, 2652, 476, 279, 912, 2018, 795, 318, 279, 318, 1015, 6910, 27203, 984, 12459, 984, 2839, 994, 1038, 8640, 2816, 9884, 785, 578, 314, 271, 316, 2652, 476, 1015, 912, 2018, 795, 318, 1015, 318, 1321, 6910, 27203, 984, 12459, 984, 2839, 994, 1038, 8640, 2816, 9884, 785, 578, 314, 271, 316, 2652, 476, 1321, 912, 2018, 795, 318, 1321, 318, 1691, 6910, 27203, 984, 12459, 984, 2839, 994, 1038, 8640, 2816, 9884, 785, 578, 314, 271, 316, 2652, 476, 1691, 912, 2018, 795, 318, 1691, 318, 1626, 6910, 27203, 984, 12459, 984, 2839, 994, 1038, 8640, 2816, 9884, 785, 578, 314, 271, 316, 2652, 476, 1626, 912, 2018, 795, 318, 1626, 318, 1240, 6910, 27203, 984, 12459, 984, 2839, 994, 825, 533, 318, 334, 318, 279, 318, 1015, 815, 1592, 263, 527, 1068, 8962, 269, 11279, 20706, 27203, 318, 279, 318, 1015, 4917, 825, 533, 318, 334, 318, 1015, 318, 1321, 815, 1592, 263, 527, 1068, 8962, 269, 11279, 20706, 27203, 318, 1015, 318, 1321, 4917, 825, 533, 318, 334, 318, 1321, 318, 1691, 815, 1592, 263, 527, 1068, 8962, 269, 11279, 20706, 27203, 318, 1321, 318, 1691, 4917, 825, 533, 318, 334, 318, 1691, 318, 1626, 815, 1592, 263, 527, 1068, 8962, 269, 11279, 20706, 27203, 318, 1691, 318, 1626, 4917, 825, 533, 318, 334, 318, 1626, 318, 1240, 815, 1592, 263, 527, 1068, 8962, 269, 11279, 20706, 27203, 318, 1626, 318, 1240, 11723, 825, 782, 7272, 6372, 318, 4650, 902, 815, 11713, 825, 585, 522, 272, 538, 533, 318, 334, 318, 279, 318, 1015, 912, 1038, 585, 522, 273, 538, 533, 318, 334, 318, 1015, 318, 1321, 912, 2018, 585, 522, 274, 538, 533, 318, 334, 318, 1321, 318, 1691, 912, 3546, 585, 522, 275, 538, 533, 318, 334, 318, 1691, 318, 1626, 912, 7386, 585, 522, 276, 538, 533, 318, 334, 318, 1626, 318, 1240, 912, 13376, 782, 7272, 6372, 318, 4650, 902, 6910, 263, 334, 272, 266, 334, 273, 266, 334, 274, 266, 334, 275, 266, 334, 276, 994, 825, 2132, 782, 7272, 6372, 318, 4650, 902, 7531, 3698, 3845, 9638, 272, 267, 533, 273, 2187, 825, 2132, 2979, 28460, 9230, 335, 272, 314, 271, 316, 268, 335, 273, 314, 271, 8079, 1262, 273, 1341, 630, 335, 272, 314, 272, 316, 268, 335, 273, 314, 272, 8079, 1262, 273, 9239, 3698, 6218, 6831, 739, 15058, 318, 718, 318, 4650, 902, 263, 718, 7272, 6372, 318, 4650, 902, 267, 14903, 267, 1244, 582, 267, 29746, 267, 795, 20189, 1662, 267, 1376, 22710, 267, 1376, 29223, 267, 4358, 318, 2903, 2187, 825, 3790, 815, 11713, 825, 585, 19280, 538, 782, 7272, 6372, 318, 4650, 902, 912, 1038, 3790, 6910, 6262, 739, 15058, 318, 534, 318, 867, 1359, 263, 867, 1359, 267, 14903, 267, 1244, 582, 267, 29746, 267, 795, 20189, 1662, 267, 1376, 22710, 267, 1376, 29223, 267, 4358, 318, 2903, 4917, 825, 1295, 16229, 815, 476, 271, 454, 825, 585, 1775, 538, 2039, 263, 272, 267, 7003, 6262, 739, 338, 15892, 1038, 8173, 1038, 1820, 6262, 739, 338, 5157, 7481, 1038, 8173, 1038, 952, 3790, 5157, 316, 2999, 3790, 314, 2381, 16229, 14158, 2018, 1295, 16229, 815, 1775, 454, 825, 2132, 1295, 16229, 7531, 3698, 1942, 15058, 318, 534, 318, 867, 1359, 263, 867, 1359, 267, 14903, 267, 1244, 582, 267, 29746, 267, 795, 20189, 1662, 267, 1376, 22710, 267, 1376, 29223, 267, 4358, 318, 2903, 2187, 825, 1942, 815, 476, 271, 1948, 322, 739, 568, 6117, 942, 1341, 13888, 20507, 585, 7508, 942, 6885, 454, 825, 942, 815, 1376, 22710, 454, 825, 952, 12759, 263, 867, 1359, 4297, 2652, 476, 271, 912, 1038, 2132, 1942, 454, 825, 14903, 269, 8145, 8724, 22479, 13369, 815, 14903, 27982, 22479, 13369, 910, 4358, 318, 2903, 454, 825, 1699, 29223, 815, 1376, 29223, 454, 825, 585, 7329, 538, 19280, 912, 1038, 952, 14903, 269, 8145, 8724, 22479, 13369, 910, 795, 20189, 1662, 314, 573, 4940, 26920, 2999, 476, 271, 912, 2018, 1948, 991, 547, 4188, 1942, 547, 2272, 585, 942, 547, 2951, 547, 29746, 267, 519, 942, 547, 796, 2903, 519, 14903, 263, 269, 1839, 1070, 543, 1287, 519, 942, 547, 5397, 547, 1985, 2816, 267, 543, 942, 547, 4452, 1985, 2816, 454, 2018, 1942, 815, 1942, 1341, 630, 323, 2700, 263, 9690, 29223, 267, 29746, 7456, 6327, 4297, 1315, 476, 2568, 269, 271, 454, 2018, 942, 815, 942, 1341, 630, 323, 2700, 263, 9690, 29223, 267, 29746, 7456, 6327, 4297, 1315, 476, 2568, 269, 271, 1341, 1547, 1839, 454, 2018, 2179, 5091, 22981, 815, 14903, 27982, 22479, 13369, 910, 14903, 269, 8145, 8724, 22479, 13369, 454, 2018, 14903, 269, 8145, 8724, 22479, 13369, 815, 14903, 27982, 22479, 13369, 454, 2018, 1942, 815, 1942, 1341, 630, 323, 2700, 5560, 2794, 7456, 6327, 267, 795, 20189, 1662, 314, 573, 4940, 331, 6327, 4297, 1315, 476, 2568, 269, 271, 454, 2018, 5727, 604, 649, 1205, 547, 519, 2816, 1354, 519, 6885, 6238, 12163, 2018, 952, 942, 2999, 795, 20189, 1662, 314, 573, 4940, 30720, 314, 271, 14158, 3546, 942, 815, 795, 20189, 1662, 314, 573, 4940, 30720, 314, 271, 2639, 2018, 942, 815, 942, 1341, 795, 20189, 1662, 314, 573, 4940, 2903, 11742, 454, 2018, 14903, 269, 8145, 8724, 22479, 13369, 815, 14903, 269, 8145, 8724, 22479, 13369, 910, 795, 20189, 1662, 314, 573, 4940, 26920, 454, 1038, 1948, 952, 519, 14903, 666, 3180, 519, 1985, 4452, 267, 991, 547, 513, 3286, 1942, 547, 2272, 585, 942, 547, 2951, 547, 1985, 2816, 267, 543, 942, 547, 4452, 1985, 2816, 454, 1038, 3116, 912, 2018, 1948, 454, 2018, 1942, 815, 1942, 1341, 630, 323, 2700, 27203, 20189, 1662, 314, 573, 4940, 331, 6327, 267, 1699, 29223, 4297, 1315, 476, 2568, 269, 271, 454, 2018, 5727, 604, 649, 1205, 547, 519, 2816, 1354, 519, 6885, 6238, 12163, 2018, 952, 942, 2999, 795, 20189, 1662, 314, 573, 4940, 30720, 314, 271, 14158, 3546, 942, 815, 795, 20189, 1662, 314, 573, 4940, 30720, 314, 271, 2639, 2018, 942, 815, 942, 1341, 795, 20189, 1662, 314, 573, 4940, 2903, 11742, 1341, 630, 323, 2700, 27203, 20189, 1662, 314, 573, 4940, 331, 6327, 267, 1699, 29223, 4297, 1315, 476, 2568, 269, 271, 454, 2018, 5727, 604, 649, 1205, 547, 519, 2816, 1354, 519, 6885, 6238, 12163, 2018, 14903, 269, 8145, 8724, 22479, 13369, 815, 14903, 269, 8145, 8724, 22479, 13369, 910, 795, 20189, 1662, 314, 573, 4940, 26920, 454, 2018, 8173, 2018, 1820, 263, 573, 994, 2018, 1820, 2891, 2903, 942, 281, 834, 1341, 1193, 27203, 20189, 1662, 314, 573, 4940, 2903, 11742, 4917, 2018, 1820, 2891, 2903, 2179, 281, 834, 266, 1193, 27203, 20189, 1662, 314, 573, 4940, 26920, 4917, 2018, 1820, 2891, 322, 17026, 11494, 1942, 281, 834, 1341, 1193, 6262, 739, 4917, 2018, 1820, 2891, 5115, 13369, 6967, 281, 834, 1341, 1193, 6025, 30638, 269, 8145, 8724, 22479, 13369, 4917, 2018, 1820, 2891, 9690, 942, 281, 834, 266, 1193, 263, 5503, 4917, 2018, 8173, 1038, 1699, 29223, 815, 795, 20189, 1662, 314, 573, 4940, 331, 6327, 454, 1038, 5727, 604, 649, 4769, 1405, 9096, 519, 2816, 538, 519, 6885, 12163, 1038, 952, 942, 3436, 795, 20189, 1662, 314, 573, 4940, 30720, 314, 272, 14158, 2018, 1942, 815, 1942, 266, 1911, 2608, 630, 5503, 910, 795, 20189, 1662, 314, 573, 4940, 30720, 314, 272, 7481, 825, 6117, 22710, 815, 1942, 454, 825, 2132, 6117, 22710, 7531, 3698, 1118, 318, 1952, 2002, 618, 8217, 263, 867, 1359, 267, 9920, 267, 14903, 267, 1244, 582, 267, 29746, 267, 795, 20189, 1662, 267, 1376, 22710, 267, 1376, 29223, 267, 4358, 318, 2903, 2187, 825, 13393, 8266, 815, 11713, 825, 1942, 815, 476, 271, 476, 1948, 1942, 568, 6117, 942, 1341, 13888, 20507, 585, 7508, 942, 6885, 454, 825, 942, 815, 1376, 22710, 476, 1948, 9920, 781, 1376, 942, 454, 825, 952, 630, 6352, 263, 867, 1359, 4297, 2652, 476, 271, 912, 1038, 2132, 1942 ]

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

[ 6892, 1109, 31184, 273, 314, 271, 316, 815, 1899, 314, 271, 22049, 6892, 1109, 31184, 273, 314, 272, 316, 815, 1899, 314, 272, 22049, 3396, 1109, 1109, 2260, 1677, 1450, 804, 6235, 543, 796, 743, 6235, 6892, 1109, 2260, 540, 519, 1899, 676, 1175, 10296, 513, 1883, 6892, 1109, 321, 944, 9594, 815, 7301, 282, 6892, 1109, 6112, 630, 30720, 18994, 15411, 28829, 2715, 13725, 1109, 30720, 269, 27234, 3890, 282, 13725, 1109, 30631, 2680, 282, 13725, 1109, 604, 630, 30720, 4877, 3326, 30631, 16216, 1203, 4297, 2715, 24748, 1109, 604, 630, 324, 1203, 269, 6943, 2652, 7926, 15311, 5141, 2216, 264, 7673, 13725, 1109, 30720, 25379, 3890, 282, 24748, 1109, 604, 630, 324, 1203, 269, 6943, 2652, 7926, 15311, 7659, 303, 5962, 264, 7673, 13725, 1109, 339, 3419, 3455, 815, 8206, 339, 3419, 3455, 282, 13725, 1109, 348, 13725, 1109, 9526, 28139, 12455, 263, 261, 30720, 267, 14622, 267, 562, 5148, 7673, 1109, 1109, 2260, 4635, 519, 9594, 1871, 547, 17157, 13725, 1109, 2260, 543, 796, 743, 760, 513, 1899, 13725, 1109, 604, 630, 339, 3419, 3455, 264, 2715, 24748, 1109, 1467, 314, 271, 316, 815, 10917, 272, 314, 271, 22049, 24748, 1109, 1467, 314, 272, 316, 815, 10917, 272, 314, 272, 22049, 13725, 1109, 348, 13725, 1109, 12828, 2715, 24748, 1109, 1467, 314, 271, 316, 815, 10917, 273, 314, 271, 22049, 24748, 1109, 1467, 314, 272, 316, 815, 10917, 273, 314, 272, 22049, 13725, 1109, 348, 13725, 1109, 9526, 1467, 263, 261, 30720, 267, 1899, 314, 271, 3910, 1899, 314, 272, 316, 5148, 13725, 1109, 30720, 269, 5891, 3890, 282, 6892, 1109, 348, 6892, 1109, 8873, 476, 271, 282, 10926, 20479, 1384, 263, 9083, 267, 476, 2004, 264, 630, 13301, 267, 476, 11820, 994, 1892, 6969, 1849, 6235, 1384, 1892, 2991, 1849, 6235, 1384, 7069, 9608, 11872, 15561, 5091, 1886, 318, 1575, 0, 266, 271, 692, 258, 17438, 692, 271, 454, 12208, 454, 273, 692, 2252, 596, 941, 547, 4584, 1079, 1053, 856, 540, 513, 1362, 540, 476, 278, 6690, 543, 476, 277, 8695, 267, 1018, 568, 519, 5506, 602, 519, 1053, 6074, 616, 1079, 8695, 2496, 13356, 476, 1556, 267, 476, 1708, 272, 692, 258, 272, 454, 266, 23211, 10436, 454, 271, 692, 763, 1297, 540, 2081, 547, 3442, 476, 271, 6690, 689, 513, 1895, 540, 476, 278, 6690, 568, 281, 1109, 1109, 278, 290, 271, 692, 763, 1297, 540, 2081, 547, 3442, 476, 273, 8695, 689, 513, 1895, 540, 476, 277, 8695, 568, 281, 1109, 1109, 277, 290, 273, 692, 763, 1297, 540, 2081, 547, 3442, 476, 273, 1053, 689, 513, 1895, 540, 476, 1724, 1053, 568, 281, 1109, 1109, 1724, 290, 273, 692, 3383, 267, 519, 5506, 568, 281, 1109, 1109, 278, 290, 271, 1109, 1535, 1109, 1109, 277, 290, 273, 1109, 1315, 1109, 1724, 290, 273, 692, 13356, 476, 1556, 267, 476, 1708, 272, 454, 258, 273, 454, 271, 692, 278, 1341, 476, 277, 2652, 1724, 8695, 543, 6690, 692, 277, 1315, 476, 1724, 1109, 1535, 1109, 476, 276, 1315, 476, 1321, 2652, 276, 1315, 476, 2918, 5506, 540, 6074, 1053, 616, 476, 273, 8695, 780, 13356, 476, 1321, 267, 476, 1708, 272 ]

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

[ 26001, 286, 2336, 273, 269, 2878, 10673, 566, 2861, 5093, 5213, 566, 2861, 5867, 1445, 593, 5885, 3123, 2673, 547, 938, 12271, 269, 4675, 13024, 3565, 1510, 24584, 4376, 538, 2132, 824, 982, 6616, 789, 1500, 513, 3017, 269, 6056, 540, 17493, 2621, 9870, 2724, 585, 2564, 1382, 610, 9568, 8323, 3646, 563, 274, 269, 2878, 13420, 640, 2861, 5093, 24054, 2861, 5867, 1450, 1394, 619, 547, 1902, 538, 30596, 610, 4213, 538, 5385, 585, 9562, 8843, 269, 1306, 519, 1870, 9428, 267, 865, 1281, 519, 1761, 1871, 540, 741, 5092, 269, 1717, 267, 1832, 538, 2247, 602, 10115, 3322, 4220, 267, 1932, 2439, 1262, 18600, 2622, 6201, 4373, 3086, 602, 649, 917, 519, 9238, 1577, 781, 1413, 693, 930, 1483, 8996, 1806, 547, 1294, 875, 3532, 7715, 4206, 27448, 666, 581, 1384, 265, 5457, 1346, 15813, 3212, 321, 1076, 5100, 342, 520, 2583, 3025, 6068, 513, 1906, 1296, 3516, 286, 1358, 3323, 607, 513, 2241, 2856, 8486, 3481, 593, 918, 1157, 560, 6621, 267, 835, 540, 519, 1034, 4583, 7715, 4206, 27448, 7270, 269, 4256, 3355, 3804, 729, 1175, 1269, 1911, 267, 1822, 269, 2871, 612, 875, 1454, 789, 8694, 909, 9870, 286, 3683, 1269, 1015, 2929, 256, 2060, 971, 11566, 1489, 267, 789, 1223, 13217, 741, 6272, 543, 5838, 1164, 7779, 2472, 547, 782, 741, 1394, 619, 563, 265, 6271, 11121, 1650, 2501, 689, 513, 8004, 3957, 24981, 9977, 269, 2701, 9250, 513, 3811, 1473, 20672, 690, 334, 5859, 547, 4339, 1996, 16220, 9168, 7103, 630, 14875, 11675, 1040, 4173, 6612, 585, 18997, 1866, 827, 1426, 3106, 6659, 936, 1269, 3583, 267, 1822, 267, 7175, 1200, 3919, 547, 3984, 19014, 267, 3132, 3872, 2326, 267, 543, 3136, 14223, 960, 780, 2026, 596, 666, 1294, 267, 950, 2834, 11570, 899, 721, 6443, 4229, 998, 7715, 4206, 27448, 5867, 267, 972, 781, 1100, 3970, 547, 1018, 649, 666, 3035, 256, 3245, 18563, 4657, 519, 1158, 547, 5885, 1271, 1514, 2152, 267, 1169, 9295, 12523, 269, 1924, 1985, 942, 596, 588, 18443, 2390, 513, 4241, 1788, 17596, 513, 2370, 5818, 267, 3314, 602, 707, 1507, 957, 540, 11587, 666, 1291, 547, 1713, 5222, 269, 8414, 7715, 4206, 27448, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 2518, 20010, 16010, 543, 20971, 17738, 10369, 2450, 729, 12595, 693, 20430, 476, 272, 269, 274, 18265, 538, 476, 1708, 274, 543, 568, 15810, 547, 4228, 693, 513, 7623, 5993, 2208, 2557, 630, 7563, 16165, 264, 540, 476, 2537, 269, 273, 260, 1282, 519, 9472, 1974, 267, 8757, 513, 1871, 540, 20430, 476, 275, 269, 273, 18265, 676, 476, 10711, 271, 563, 21446, 894, 16010, 543, 20971, 17738, 10369, 1382, 1867, 676, 8892, 4578, 853, 1846, 267, 3091, 513, 3102, 2070, 540, 519, 2344, 781, 3140, 1239, 689, 476, 1001, 279, 547, 476, 1708, 272, 267, 13830, 3466, 267, 2208, 3270, 267, 543, 1883, 10256, 269, 898, 20964, 476, 1708, 273, 607, 519, 3490, 1032, 267, 7421, 519, 2344, 5251, 267, 7082, 2623, 267, 6735, 267, 543, 6042, 269, 3958, 267, 519, 1867, 6799, 513, 1134, 3146, 572, 2117, 1117, 9472, 1974, 689, 476, 1708, 274, 547, 476, 10711, 271, 267, 16107, 1239, 2079, 2553, 547, 1788, 519, 2344, 781, 2208, 18330, 267, 6932, 3255, 267, 543, 17191, 2591, 563, 21446, 894, 16010, 543, 20971, 17738, 7854, 5499, 2081, 540, 7616, 543, 3854, 14305, 602, 11651, 613, 689, 2757, 12948, 1949, 269, 1452, 3631, 2709, 513, 2039, 540, 1875, 8410, 1203, 328, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 5522, 520, 845, 13188, 257, 607, 851, 540, 834, 24082, 1299, 18598, 1315, 18844, 4206, 27448, 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, 6828, 31499, 910, 589, 5295, 995, 15484, 585, 23046, 9650, 338, 692, 5331, 596, 543, 707, 2828, 616, 9361, 1927, 538, 513, 5858, 267, 4687, 2984, 827, 707, 1554, 267, 6158, 827, 707, 4606, 267, 543, 4543, 1142, 824, 4194, 2042, 269, 3767, 4952, 952, 713, 1895, 8400, 729, 3366, 676, 513, 16887, 8036, 12016, 1572, 513, 5369, 12278, 10076, 2657, 29237, 31943, 518, 630, 15014, 295, 23259, 1040, 901, 1826, 540, 3797, 1141, 513, 6751, 295, 23259, 2337, 513, 1507, 1895, 540, 1004, 4308, 609, 3929, 610, 5626, 2152, 568, 1572, 6828, 31499, 269, 2913, 781, 4685, 4514, 883, 1620, 1018, 621, 1797, 547, 7119, 538, 6828, 31499, 2439, 1432, 568, 6828, 31499, 888, 28598, 27026, 31499, 3322, 513, 6751, 295, 23259, 2324, 5702, 609, 1896, 1004, 630, 17141, 1063, 2947, 547, 12964, 1070, 782, 7231, 609, 2147, 3929, 610, 8965, 2591, 269, 1452, 7886, 666, 948, 5171, 1451, 1007, 1983, 267, 1020, 2635, 12003, 2994, 267, 543, 1265, 4313, 6616, 789, 5749, 1405, 4805, 538, 741, 9620, 269, 1635, 4947, 1927, 5781, 267, 2356, 2899, 610, 7466, 513, 3018, 267, 1895, 2818, 1711, 513, 11215, 2146, 602, 7512, 2208, 543, 7067, 780, 3963, 798, 4658, 12160, 622, 538, 6828, 31499, 888, 14343, 19567, 10144, 949, 3442, 547, 6443, 513, 6828, 31499, 8400, 585, 1585, 4128, 269, 2368, 1522, 1745, 811, 6899, 11589, 2933, 1851, 9905, 2864, 982, 835, 6823, 14633, 609, 513, 13309, 269, 11524, 5660, 6217, 1114, 5380, 689, 2789, 1004, 6849, 2147, 7965, 269, 5047, 267, 7487, 1866, 6707, 6330, 998, 9157, 2053, 3091, 4126, 543, 6667, 269, 3683, 942, 267, 891, 3838, 2833, 6536, 6568, 267, 3972, 267, 543, 2178, 7554, 1369, 519, 1895, 780, 14300, 540, 12983, 5410, 5962, 538, 6828, 31499, 454, 24801, 13430, 294, 12952, 1223, 1445, 593, 5466, 1808, 4145, 899, 4160, 267, 4965, 267, 16236, 267, 8194, 267, 1582, 12635, 267, 10845, 2359, 267, 2566, 5786, 267, 610, 2792, 1983, 269, 6884, 267, 2516, 1522, 849, 13404, 593, 6626, 3584, 971, 607, 2123, 1646, 610, 1272, 13289, 630, 324, 3052, 1421, 18273, 267, 16028, 267, 16468, 1040, 17859, 540, 519, 6249, 267, 6751, 295, 301, 11679, 7520, 5717, 1247, 4180, 3025, 7959, 4862, 543, 15197, 780, 1692, 6496, 6828, 31499, 4518, 888, 5785, 7042, 4263, 519, 4098, 540, 1142, 8400, 267, 519, 6751, 295, 23259, 5036, 2312, 4808, 543, 6788, 585, 16614, 2792, 543, 3742, 6947, 269, 16840, 1491, 7140, 7234, 741, 4555, 267, 4664, 267, 543, 2833, 1644, 547, 519, 6074, 1888, 269, 1306, 7391, 11200, 267, 519, 6751, 295, 23259, 9900, 10274, 519, 5188, 2509, 4030, 267, 1966, 9010, 2553, 267, 543, 2318, 4093, 269, 10705, 267, 2818, 3605, 3860, 3435, 676, 1565, 689, 835, 1776, 779, 2189, 16752, 543, 10080, 780, 763, 10020, 540, 513, 5369, 12278, 10076, 2657, 29237, 31943, 518, 630, 15014, 295, 23259, 994, 5785, 5785, 21387, 1103, 1840, 547, 14123, 1930, 5717, 267, 6751, 295, 301, 11679, 2709, 5583, 267, 1489, 267, 543, 6791, 1282, 6828, 31499, 7886, 269, 1358, 6895, 3356, 267, 2232, 1022, 7526, 267, 543, 2303, 25191, 2200, 950, 2877, 269, 5015, 267, 6751, 295, 301, 11679, 12840, 609, 824, 3782, 7426, 3238, 538, 1895, 2818, 262, 2126, 4566, 547, 2327, 3102, 1416, 780, 19119, 540, 6828, 31499, 454, 28598, 27396, 908, 538, 6828, 31499, 814, 3875, 2640, 267, 930, 540, 799, 1331, 1384, 265, 28214, 1447, 9678, 1107, 16734, 972, 616, 1866, 7680, 2147, 3871, 3248, 265, 15043, 6793, 14375, 1983, 1107, 8026, 2500, 2792, 543, 3742, 6947, 3248, 265, 717, 8724, 4195, 5813, 1107, 1565, 875, 1866, 10994, 2042, 543, 4019, 1346, 4245, 547, 2087, 835, 781, 1378, 3510, 3248, 265, 31514, 8404, 1107, 11287, 9283, 1500, 676, 8284, 1895, 2818, 26182, 1689, 3248, 265, 8490, 6015, 1107, 31667, 532, 1483, 3734, 7653, 1369, 513, 2922, 1604, 5012, 547, 2799, 7682, 4369, 3544, 519, 1895, 4259, 3248, 265, 5510, 1359, 8994, 1489, 1107, 3246, 15260, 4269, 543, 19015, 547, 1866, 11942, 513, 2631, 540, 10362, 543, 4276, 3248, 265, 8779, 9806, 1107, 1895, 3797, 3335, 3790, 1447, 829, 1268, 3379, 547, 1367, 3797, 7886, 780, 6962, 454, 29603, 27026, 31499, 4249, 606, 1898, 1909, 538, 2790, 1072, 1416, 7258, 2757, 835, 6823, 14633, 11257, 269, 898, 5932, 3255, 585, 5698, 267, 1565, 267, 543, 7067, 10838, 9905, 10188, 1455, 2591, 896, 519, 9952, 4287, 540, 513, 6751, 295, 23259, 269, 1879, 2016, 519, 4960, 267, 10283, 538, 971, 2516, 666, 1291, 547, 7415, 2123, 14759, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 20329, 12278, 10076, 2657, 29237, 31943, 619, 454, 20329, 12278, 2790, 1072, 12016, 9439, 630, 15014, 295, 301, 11679, 264, 616, 2790, 1072, 1416, 4648, 945, 2253, 741, 3318, 11678, 676, 11504, 8808, 1153, 267, 543, 1287, 2469, 593, 547, 2347, 2901, 4487, 781, 610, 25719, 5232, 269, 1358, 616, 8036, 547, 960, 609, 2043, 543, 3885, 609, 17867, 4713, 267, 543, 547, 5077, 609, 2516, 267, 2950, 267, 9777, 2209, 267, 7855, 543, 14078, 269, 1358, 1683, 513, 2407, 2039, 540, 17867, 543, 2790, 1072, 1416, 267, 1519, 519, 7245, 540, 21911, 543, 519, 13310, 540, 6527, 269, 769, 693, 2547, 476, 736, 2829, 267, 17867, 11923, 616, 13931, 547, 1521, 2550, 538, 4357, 1790, 15462, 28503, 563, 32086, 585, 5369, 12278, 10076, 2657, 29237, 31943, 619, 454, 288, 12016, 19995, 1590, 3489, 693, 2547, 476, 277, 547, 476, 1015, 1296, 540, 2022, 29364, 776, 2069, 269, 634, 11134, 1590, 1101, 7118, 513, 476, 275, 4458, 4110, 538, 8808, 267, 1287, 2347, 606, 9516, 4487, 781, 610, 25719, 4110, 269, 634, 10927, 8808, 1982, 1590, 1331, 693, 2547, 476, 7785, 554, 537, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 27026, 31499, 257, 607, 851, 540, 834, 25503, 1315, 16711, 1315, 5369, 12278, 1299, 10076, 2657, 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, 5149, 476, 275, 281, 17327, 26492, 538, 16520, 26888, 540, 7087, 24447, 540, 25725, 6816, 692, 1103, 1082, 4529, 1472, 519, 1158, 267, 5711, 5389, 723, 1044, 15747, 538, 8497, 1686, 267, 4978, 267, 9821, 267, 543, 22693, 269, 7324, 519, 7087, 2950, 540, 25725, 6816, 630, 320, 2165, 1419, 1031, 676, 7087, 9082, 547, 3277, 547, 3345, 3013, 1070, 891, 2984, 5293, 1524, 998, 5481, 3180, 10373, 4644, 269, 1358, 616, 7184, 23091, 609, 3961, 5250, 267, 1514, 22122, 267, 543, 1702, 6771, 269, 769, 713, 1770, 267, 649, 5490, 883, 519, 17381, 543, 6988, 540, 7087, 5711, 5389, 1336, 1369, 5339, 10070, 1247, 23622, 593, 741, 1909, 538, 4207, 2486, 780, 296, 269, 4197, 17327, 26492, 692, 288, 269, 9502, 543, 11957, 692, 4263, 922, 4295, 267, 606, 5711, 2245, 4564, 1022, 1106, 540, 1702, 610, 1344, 10299, 8231, 958, 689, 1268, 547, 1268, 610, 1895, 547, 1895, 269, 10705, 12082, 538, 3504, 2053, 267, 789, 4196, 1585, 5301, 971, 607, 3450, 26069, 267, 10916, 3140, 2621, 267, 7713, 2067, 9259, 267, 17923, 6848, 8155, 267, 543, 19278, 9458, 269, 1280, 7087, 2950, 540, 25725, 6816, 267, 5711, 5389, 1599, 3564, 6071, 9423, 282, 789, 18220, 2686, 6561, 267, 2226, 4296, 609, 11937, 267, 543, 19472, 1367, 543, 7104, 9163, 780, 289, 269, 9537, 540, 17327, 26492, 692, 29378, 5711, 5389, 2097, 538, 3309, 3029, 1519, 14868, 267, 17691, 267, 12563, 2145, 525, 267, 12473, 6386, 267, 8964, 267, 669, 1218, 267, 605, 18690, 267, 678, 26680, 267, 543, 2123, 2833, 269, 3962, 1826, 11438, 2189, 4162, 543, 5713, 3982, 3252, 1369, 519, 2146, 269, 1280, 3236, 267, 14868, 3335, 4308, 609, 16750, 7919, 543, 4229, 5935, 519, 26355, 267, 6466, 17691, 22281, 9058, 23339, 5340, 676, 1480, 12325, 269, 11531, 267, 605, 18690, 543, 678, 26680 ]

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

[ 2011, 538, 9641, 950, 782, 7929, 6091, 616, 17159, 563, 293, 13612, 284, 27263, 1341, 681, 309, 815, 13301, 271, 332, 299, 454, 16655, 2011, 799, 666, 581, 6410, 689, 2620, 1163, 19418, 547, 2620, 6667, 563, 31357, 284, 16843, 309, 1341, 966, 339, 1341, 27263, 284, 476, 30420, 271, 332, 299, 454, 307, 2426, 25016, 27519, 454, 13707, 4320, 540, 2011, 4371, 676, 519, 9641, 454, 307, 9448, 284, 16843, 309, 1341, 966, 339, 1341, 18317, 309, 1341, 681, 309, 815, 476, 276, 3445, 271, 332, 299, 454, 1432, 1505, 666, 2268, 674, 13612, 888, 8649, 870, 540, 2011, 596, 666, 7903, 856, 538, 476, 272, 3813, 270, 2698, 2179, 540, 2011, 596, 666, 7903, 856, 454, 24127, 540, 7929, 3148, 630, 12061, 11546, 611, 2230, 994, 32325, 799, 666, 2268, 681, 309, 454, 274, 2095, 2010, 543, 519, 5481, 789, 2811, 2404, 609, 563, 307, 7875, 12040, 281, 9198, 725, 476, 271, 268, 280, 454, 299, 3133, 541, 281, 9198, 725, 476, 1015, 268, 1626, 454, 11795, 15133, 281, 9198, 725, 476, 1704, 268, 2537, 630, 665, 15479, 11179, 543, 4830, 540, 7929, 4783, 994, 14976, 2880, 960, 568, 14354, 547, 2483, 15239, 268, 601, 2880, 960, 568, 14354, 547, 2483, 14976, 2880, 25341, 570, 10537, 11730, 454, 15239, 268, 601, 2880, 630, 6135, 9689, 2861, 264, 25341, 22039, 540, 22165, 3107, 454, 275, 15486, 585, 14523, 2135, 8598, 454, 263, 272, 264, 14523, 990, 550, 7976, 630, 7224, 1689, 538, 589, 320, 23077, 273, 994, 263, 273, 264, 5262, 4288, 7799, 2787, 630, 628, 32169, 267, 4389, 1858, 267, 3092, 8094, 263, 274, 264, 1744, 2863, 630, 7224, 1689, 689, 2799, 744, 273, 994, 29797, 2135, 807, 5288, 14523, 2135, 8598, 454, 1892, 29797, 2135, 807, 268, 22975, 540, 519, 1560, 610, 1808, 8219, 1813, 547, 25314, 2255, 538, 5135, 3761, 543, 5160, 7569, 454, 1892, 29797, 2135, 8598, 268, 950, 5135, 5834, 538, 27555, 1973, 568, 1932, 1970, 454, 414, 501, 355, 25508, 302, 273, 1447, 982, 476, 3199, 6515, 32074, 454, 414, 501, 355, 29819, 7298, 1447, 982, 476, 2568, 6515, 32074, 454, 268, 19461, 15214, 11364, 454, 268, 17659, 344, 15258, 807, 630, 341, 698, 958, 13251, 994, 268, 590, 680, 21329, 19432, 454, 29797, 16464, 13809, 540, 1230, 4109, 1145, 454, 15612, 908, 4284, 8344, 16458, 6611, 454, 309, 323, 270, 309, 339, 815, 630, 25508, 4596, 273, 268, 3212, 4596, 273, 8358, 25508, 4596, 273, 454, 263, 6343, 1223, 581, 1163, 1600, 910, 1018, 568, 1163, 1600, 8358, 6343, 1223, 1163, 1600, 454, 31863, 5223, 281, 1547, 273, 268, 269, 3374, 454, 309, 339, 281, 538, 1747, 547, 3339, 1125, 12214, 4666, 2230, 585, 513, 2016, 23864, 4320, 454, 763, 2179, 540, 3154, 11843, 568, 14354, 547, 519, 1858, 630, 288, 1070, 543, 3017, 538, 9864, 2604, 454, 5327, 32606, 519, 2188, 799, 5351, 18236, 282, 6645, 721, 2910, 273, 886, 4926, 476, 2420, 343, 1732, 982, 744, 273, 454, 2691, 513, 851, 540, 519, 5761, 814, 1970, 9338, 12717, 5357, 2752, 18161, 273, 267, 1973, 568, 17146, 689, 3834, 16464, 2127, 547, 1134, 12656, 325, 4310, 2127, 630, 810, 607, 547, 711, 3653, 1973, 1141, 621, 4465, 1405, 581, 5887, 23624, 994, 27246, 540, 589, 320, 23077, 273, 454, 268, 26277, 5669, 695, 2863, 454, 268, 17588, 577, 658, 18025, 592, 14004, 15532, 454, 763, 5834, 540, 513, 1151, 1393, 3154, 538, 513, 3070, 568, 2047, 14354, 547, 9864, 2604, 540, 602, 3154, 1657, 519, 3070, 563, 290, 284, 737, 295, 630, 303, 6661, 5834, 568, 3070, 284, 4744, 6295, 3586, 630, 12304, 675, 994, 31262, 540, 2910, 454, 1103, 519, 4527, 540, 1507, 5666, 540, 2910, 267, 25505, 585, 744, 273, 568, 7494, 8476, 543, 796, 2903, 532, 568, 15286, 630, 1156, 576, 3411, 6327, 1916, 2691, 29296, 1496, 295, 266, 316, 543, 1496, 295, 4596, 274, 268, 316, 2333, 538, 22980, 628, 24945, 5052, 267, 670, 4596, 274, 268, 886, 4926, 856, 543, 1849, 268, 538, 267, 547, 2226, 5122, 29591, 454, 763, 4527, 540, 744, 273, 11081, 519, 25505, 540, 24562, 585, 2910, 273, 543, 20674, 538, 519, 796, 2903, 532, 540, 2910, 273, 689, 519, 1973, 547, 519, 31276, 6897, 5624, 0, 4002, 13628, 267, 519, 4436, 14618, 796, 29434, 3585, 5293, 513, 968, 7224, 1797, 1100, 892, 1876, 602, 21040, 519, 4214, 540, 22149, 547, 1022, 1106, 540, 1875, 15926, 839, 783, 4638, 3346, 563, 763, 2268, 814, 1044, 538, 519, 1568, 585, 1296, 267, 855, 729, 6368, 5293, 1310, 2527, 6285, 593, 1715, 5729, 779, 18832, 538, 595, 860, 928, 267, 538, 799, 7366, 540, 2021, 1767, 789, 941, 575, 1886, 539, 267, 16091, 267, 543, 3775, 5523, 269, 634, 9086, 32195, 3138, 2684, 3421, 602, 1500, 621, 2352, 547, 19439, 25476, 269, 7201, 519, 3105, 1876, 267, 513, 6408, 6031, 968, 7224, 892, 729, 711, 2614, 547, 3715, 513, 3668, 540, 9844, 269, 634, 1007, 9086, 1362, 5809, 575, 1886, 532, 607, 513, 3023, 6760, 607, 1134, 563, 5278, 2021, 779, 2924, 15156, 2161, 789, 24714, 519, 9086, 4682, 2417, 267, 1247, 15061, 1876, 16234, 14126, 827, 18445, 538, 5480, 602, 513, 6408, 1705, 711, 2285, 9844, 269, 6736, 891, 30852, 267, 519, 9086, 7436, 513, 24659, 4090, 585, 5125, 267, 1141, 4031, 593, 4638, 14213, 338, 723, 1279, 18848, 3022, 3297, 519, 1964, 540, 2342, 563, 24281, 519, 2250, 972, 941, 2665, 1141, 2021, 941, 986, 6244, 855, 519, 10419, 21116, 7948, 1405, 581, 27052, 2437, 5125, 781, 10579, 585, 6468, 267, 2494, 21731, 5576, 342, 525, 580, 267, 5143, 519, 23105, 4964, 563, 763, 1007, 1876, 786, 2015, 782, 3029, 540, 1875, 15926, 550, 6190, 267, 1519, 1312, 2168, 543, 11913, 10291, 689, 519, 6408, 269, 634, 1876, 849, 15565, 3476, 5220, 585, 10963, 8149, 676, 1804, 2516, 563, 1103, 1931, 585, 606, 957, 547, 13822, 22149, 896, 519, 3105, 1876, 267, 9601, 941, 2838, 547, 723, 29846, 2933, 9308, 269, 1703, 729, 1100, 2312, 4214, 540, 9844, 269, 634, 957, 540, 6031, 968, 7224, 892, 729, 711, 2808, 6190, 547, 6961, 513, 24769, 16944, 563, 6097, 547, 519, 1007, 1876, 267, 834, 2005, 4927, 1100, 3476, 581, 2838, 602, 519, 1055, 2658, 1590, 585, 322, 4601, 7753, 519, 6408, 269, 13298, 267, 621, 4927, 581, 6190, 602, 519, 786, 540, 519, 6408, 568, 6444, 543, 519, 10419, 15249, 1219, 625, 621, 4799, 1607, 9086, 6770, 5125, 779, 4031, 593, 4638, 14213, 338, 538, 1899, 609, 1346, 538, 1454, 540, 519, 1964, 540, 519, 2919, 1158, 269, 634, 2136, 13780, 779, 968, 21652, 1504, 585, 18489, 3175, 593, 20222, 18830, 6468, 2223, 1435, 5894, 515, 539, 538, 476, 1001, 271, 267, 5227, 9427, 1022, 3656, 10421, 602, 4638, 14213, 581, 8149, 676, 3196, 610, 5208, 563, 763, 3656, 1949, 538, 1034, 3864, 543, 3345, 1977, 2477, 2709, 519, 1034, 519, 4027, 585, 2021, 1996, 5208, 267, 2687, 547, 606, 2079, 3370, 538, 634, 6115, 5403, 269, 769, 13785, 267, 585, 3236, 267, 4638, 14213, 11392, 2370, 10892, 1317, 540, 513, 32618, 2528, 540, 2021, 779, 2924, 543, 5571, 1857, 5717, 827, 4638, 5208, 267, 2687, 547, 634, 1715, 3840, 8648, 269, 769, 5125, 267, 676, 4334, 267, 29281, 22149, 729, 7803, 1242, 1152, 538, 476, 1960, 278, 269, 4340, 547, 519, 5403, 2079, 267, 2477, 538, 7262, 5607, 267, 593, 519, 2898, 267, 2709, 519, 1906, 652, 20038, 1996, 4638, 5208, 563, 763, 1007, 1876, 814, 1044, 538, 519, 1568, 2094, 476, 1001, 272, 267, 855, 1857, 8456, 6603, 513, 512, 6235, 1448, 585, 713, 1689, 1310, 519, 2527, 6285, 538, 595, 860, 928, 267, 1141, 3592, 513, 8536, 2021, 1767, 789, 941, 575, 1886, 539, 267, 16091, 267, 610, 3775, 5523, 269, 5221, 14213, 1223, 1152, 581, 8810, 952, 519, 9601, 1223, 6961, 789, 9308, 5706, 539, 267, 1906, 21991, 1903, 8507, 689, 519, 2527, 6285, 563, 19602, 267, 1079, 2367, 941, 4203, 26860, 540, 546, 745, 21794, 543, 986, 4771, 4436, 2203, 717, 2088, 6441, 13453, 700, 2129, 325, 1074, 267, 1256, 1498, 513, 3381, 540, 519, 10071, 2982, 15516, 269, 700, 2129, 325, 1074, 6031, 267, 834, 1805, 641, 621, 267, 3247, 621, 2437, 543, 834, 5591, 4799, 4407, 519, 1007, 4436, 1876, 568, 2808, 513, 19506, 4090, 585, 519, 2197, 543, 922, 2924, 585, 2021, 267, 930, 2021, 779, 2924, 15156, 1131, 723, 17329, 621, 547, 581, 31749, 563, 257, 8170, 1576, 621, 1058, 581, 1412, 8133, 1797, 8786, 10086, 834, 19191, 26701, 2088, 700, 684, 345, 5143, 519, 18917, 269, 15516, 269, 700, 684, 345, 729, 13288, 547, 4993, 543, 1715, 3840, 4031, 602, 2154, 8763, 9844, 267, 799, 3112, 581, 2016, 952, 2576, 568, 18069, 610, 24835, 659, 18469, 676, 5061, 610, 4568, 563, 763, 834, 10468, 514, 3891, 529, 560, 10468, 514, 257, 630, 5591, 1797, 3143, 264, 1876, 834, 15884, 948, 2333, 519, 1297, 540, 9601, 945, 3442, 547, 2046, 10997, 267, 2539, 519, 1297, 540, 7803, 21991, 1903, 602, 616, 6692, 1386, 267, 543, 2327, 4638, 14213, 338, 616, 5265, 27052, 2437, 1767, 10579, 5576, 342, 525, 580, 269, 0, 294, 1516, 12256, 11216, 602, 849, 6146, 1082, 9687, 2635, 8937, 4551, 1223, 581, 8380, 873, 693, 1981, 540, 3384, 10447, 267, 8377, 543, 11959, 2663, 593, 267, 513, 14262, 9721, 1353, 5267, 563, 290, 1251, 2861, 3173, 1031, 4359, 5027, 15971, 585, 519, 1101, 942, 547, 2697, 543, 1293, 8937, 18508, 538, 29507, 563, 763, 5888, 538, 519, 8937, 540, 12256, 5701, 609, 3376, 1606, 1051, 5300, 11216, 729, 1336, 547, 581, 1869, 12012, 5216, 4374, 1310, 2126, 563, 4407, 11216, 723, 10710, 1082, 2729, 267, 19249, 8937, 26168, 1360, 2038, 538, 1272, 1223, 723, 513, 2942, 1198, 593, 1646, 540, 519, 4761, 1062, 267, 7133, 1279, 3856, 1072, 563, 14722, 3494, 519, 1382, 2306, 519, 2013, 585, 1210, 811, 6098, 267, 7522, 1606, 1051, 5300, 11216, 547, 1521, 12256, 936, 519, 20125, 2009, 942, 563, 2005, 6743, 693, 8370, 12256, 5701, 609, 32326, 18041, 27957, 270, 7217, 25271, 514, 530, 328, 6253, 514, 476, 4366, 3108, 540, 4332, 936, 513, 1079, 18881, 1974, 563, 763, 9002, 685, 16063, 18508, 729, 3379, 547, 8370, 12256, 945, 4607, 1100, 11216, 563, 4263, 2185, 4374, 267, 6225, 4551, 267, 1519, 536, 604, 573, 27627, 543, 14915, 984, 659, 650, 328, 267, 941, 3648, 4389, 538, 519, 5701, 1895, 269, 4014, 519, 2338, 536, 6407, 1394, 676, 519, 1353, 779, 1439, 267, 519, 2249, 685, 4763, 1705, 711, 563, 763, 1353, 729, 7873, 268, 10631, 539, 676, 3744, 538, 519, 1325, 21747, 14997, 629, 8438, 10418, 538, 2160, 5441, 595, 1251, 267, 595, 1251, 2160, 631, 24471, 11233, 267, 543, 1855, 698, 2444, 18703, 335, 1046, 5253, 3194, 10418, 538, 674, 1069, 1195, 563, 21893, 568, 519, 1101, 15971, 2861, 1353, 547, 6542, 519, 2942, 2360, 540, 2110, 3856, 15084, 2126, 593, 519, 6225, 8937, 4551, 5095, 538, 12256, 2437, 1767, 1291, 2278, 21965, 853, 13550, 517, 689, 1855, 698, 2444, 563, 257, 3528, 19249, 519, 8937, 26168, 543, 3976, 519, 4761, 1062, 1360, 2038, 538, 1272, 267, 519, 11216, 1223, 11874, 3310, 1279, 3856, 1072, 267, 3226, 676, 2810, 519, 1981, 540, 3384, 10447, 267, 14711, 267, 543, 8377, 563, 10454, 1981, 568, 15398, 676, 519, 1249, 602, 519, 15084, 12454, 17522, 540, 519, 26168, 2501, 693, 513, 942, 950, 713, 2551, 568, 538, 4028, 13441, 543, 666, 3362, 581, 796, 29446, 4799, 292, 697, 4374, 1310, 519, 12256, 941, 5701, 609, 11216, 267, 519, 4763, 540, 16063, 18508, 7283, 21022, 267, 4352, 519, 1297, 540, 1367, 4551, 729, 1394, 547, 3339, 563, 8170, 1880, 6161, 729, 519, 4527, 540, 513, 5732, 2068, 27351, 6748, 4551, 538, 5701, 12256, 563, 2005, 729, 15458, 267, 2705, 267, 2436, 519, 4551, 1185, 856, 326, 3497, 519, 6225, 3283, 1317, 741, 2551, 1185, 6738, 610, 1317, 519, 1866, 1185, 695, 337, 6064, 563, 4913, 267, 3220, 853, 656, 517, 1767, 519, 1239, 6700, 519, 5732, 5739, 4551, 1185, 2799, 693, 519, 13258, 540, 519, 6225, 3283, 543, 602, 13615, 538, 609, 3105, 1382, 563, 763, 1353, 267, 1710, 2331, 676, 3163, 7690, 8581, 543, 519, 4972, 540, 11982, 267, 5253, 267, 543, 13149, 267, 729, 3370, 538, 519, 4760, 4165, 574, 17853, 3397, 757, 543, 6314, 8839, 563, 288, 2147, 2185, 4458, 1788, 267, 23862, 5471, 267, 849, 14102, 676, 519, 4972, 540, 11982, 267, 568, 3168, 693, 519, 8937, 1646, 540, 476, 1911, 6089 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 15604, 888, 2691, 621, 2501, 547, 674, 525, 26443, 6371, 267, 5162, 568, 519, 6305, 942, 585, 2208, 269, 1677, 2327, 602, 707, 15989, 13978, 2635, 543, 18932, 267, 621, 779, 1271, 547, 6992, 1125, 609, 513, 3500, 5305, 13226, 269, 901, 13226, 1058, 2270, 9436, 267, 16903, 267, 543, 11379, 1107, 782, 1898, 5567, 585, 707, 6371, 269, 5269, 2386, 547, 4019, 519, 13226, 14961, 936, 519, 3003, 15989, 543, 1216, 19952, 547, 948, 621, 10110, 519, 5567, 269, 1280, 606, 1256, 22928, 1267, 267, 2119, 1210, 606, 5214, 610, 2067, 13226, 2336, 3719, 1810, 1406, 7340, 281, 1310, 7311, 13226, 267, 596, 991, 547, 7227, 693, 2547, 1079, 4374, 1354, 9544, 1007, 6371, 6079, 269, 901, 786, 2285, 707, 15989, 2614, 942, 547, 10110, 519, 8770, 11656, 13226, 543, 1711, 513, 2178, 5748, 585, 2635, 2208, 563, 3383, 1810, 1406, 7340, 713, 4105, 1900, 538, 2921, 1416, 540, 707, 674, 525, 26443, 6371, 713, 5162, 2336, 5475, 31896, 23420, 23268, 267, 1548, 5516, 568, 10261, 539, 585, 21988, 12618, 888, 16352, 513, 18932, 543, 2635, 15989, 568, 1945, 649, 782, 11441, 585, 256, 1809, 621, 779, 711, 607, 2241, 607, 1175, 9544, 6371, 6079, 1107, 972, 616, 1896, 3268, 596, 991, 547, 1491, 547, 2327, 3811, 2208, 269, 3371, 616, 930, 4388, 593, 875, 547, 5265, 1416, 585, 707, 9241, 12630, 6371, 1310, 13226, 814, 1044, 4294, 912, 1892, 16259, 519, 3037, 676, 512, 3739, 543, 9427, 1022, 18047, 1354, 9544, 563, 1892, 24619, 519, 6079, 14961, 936, 519, 1858, 543, 21066, 3382, 609, 3037, 563, 1892, 4826, 5781, 267, 855, 711, 1932, 1454, 267, 607, 713, 666, 2014, 9044, 543, 2068, 563, 1892, 10670, 544, 12976, 950, 519, 6371, 10301, 476, 274, 6279, 538, 4463, 267, 544, 578, 5781, 547, 1832, 621, 2635, 543, 2061, 18290, 2208, 563, 1892, 1403, 2556, 267, 4019, 513, 18290, 20740, 547, 1852, 1022, 18047, 602, 723, 7153, 1310, 9544, 563, 1892, 5213, 1406, 7340, 547, 6992, 1125, 256, 674, 525, 26443, 6371, 1058, 581, 6992, 1242, 609, 513, 3500, 5305, 13226, 5627, 9436, 267, 16903, 267, 543, 11379, 538, 5162, 585, 6099, 2208, 269, 27016, 693, 2547, 1079, 4374, 1354, 9544, 1007, 6371, 6079, 1310, 7311, 13226, 563, 3528, 1739, 891, 3268, 267, 596, 3580, 581, 1134, 593, 707, 1259, 547, 2348, 513, 4190, 15989, 602, 786, 2063, 585, 1296, 2336, 1692, 2052, 594, 5269, 3733, 1715, 569, 1773, 5896, 23420, 22320, 674, 2120, 888, 16352, 513, 18932, 267, 3039, 15989, 568, 519, 679, 11803, 540, 1082, 21427, 269, 1809, 3478, 972, 3340, 513, 2370, 3787, 540, 960, 543, 1702, 269, 3371, 616, 930, 4388, 547, 948, 596, 1711, 519, 3501, 15989, 912, 1892, 16259, 519, 3037, 1354, 9544, 269, 4530, 519, 9063, 1377, 540, 707, 3037, 543, 1039, 5214, 1570, 899, 11003, 610, 23226, 547, 2087, 8770, 1543, 538, 519, 3037, 269, 570, 650, 610, 513, 4733, 621, 547, 2327, 1697, 12775, 543, 3597, 2208, 563, 1892, 7233, 707, 6371, 693, 519, 1318, 942, 540, 1032, 269, 24953, 4005, 21823, 1058, 581, 12630, 538, 3735, 5614, 610, 2038, 4832, 267, 1247, 3579, 4005, 21823, 1058, 581, 12630, 538, 3735, 4832, 610, 2038, 2887, 563, 1892, 4826, 5781, 543, 7184, 269, 23420, 2115, 827, 476, 272, 10759, 540, 1216, 829, 3018, 267, 855, 713, 666, 4268, 4470, 593, 4365, 2175, 543, 824, 2188, 269, 4826, 7184, 543, 1102, 18526, 547, 5000, 2620, 3597, 2208, 543, 10980, 4187, 563, 1892, 674, 23459, 1125, 14013, 269, 2422, 513, 13226, 602, 568, 4481, 2966, 585, 1876, 985, 267, 1739, 5528, 5402, 593, 3498, 2557, 543, 4908, 269, 3680, 936, 325, 23459, 1944, 607, 713, 666, 1291, 547, 14432, 32005, 24124, 2208, 543, 2799, 18290, 2042, 563, 4322, 3268, 786, 948, 596, 1711, 513, 2635, 15989, 602, 786, 2063, 585, 1296, 547, 2097, 2336, 17730, 513, 18932, 267, 3039, 15989, 3085, 1406, 723, 547, 581, 606, 7543, 4305, 269, 2060, 519, 1318, 4999, 540, 5214, 543, 22803, 2326, 267, 1697, 7041, 543, 1416, 267, 596, 666, 723, 513, 4190, 5251, 538, 1100, 942, 256, 674, 23459, 1944, 543, 694, 5338, 707, 15989, 568, 1883, 547, 2870, 513, 2635, 1604, 585, 707, 6371, 269, 634, 1655, 942, 547, 4019, 13226, 1354, 694, 5338, 568, 538, 519, 5614, 610, 2887, 267, 1210, 513, 1769, 3498, 865, 607, 711, 547, 3441, 9241, 12630, 19155, 269, 3958, 267, 621, 568, 1271, 547, 2638, 543, 4188, 707, 3037, 779, 9063, 1377, 607, 2556, 563, 2414, 1711, 519, 3501, 15989, 267, 596, 991, 547, 3442, 519, 1318, 6371, 2249, 585, 707, 1858, 267, 5965, 519, 3037, 676, 9427, 1022, 18047, 543, 512, 3739, 621, 267, 3262, 519, 6079, 14961, 2066, 519, 2627, 267, 21066, 3382, 609, 3037, 267, 1216, 5781, 1510, 936, 4777, 532, 621, 630, 1372, 788, 569, 2614, 602, 519, 1216, 10301, 1524, 476, 274, 268, 275, 6279, 1070, 6992, 1125, 14013, 630, 293, 525, 26443, 6371, 1058, 581, 6992, 1242, 609, 513, 3500, 5305, 13226, 5627, 9436, 267, 16903, 543, 11379, 538, 5162, 1070, 543, 544, 578, 950, 519, 6371, 10301, 476, 274, 6279, 538, 4463, 563, 3528, 1739, 891, 3268, 5402, 596, 666, 2327, 602, 707, 1007, 15989, 4991, 1055, 547, 513, 1434, 1376, 269, 20613, 1746, 693, 2547, 1079, 4374, 1310, 7311, 13226, 1354, 9544, 6371, 6079, 786, 849, 948, 2327, 2635, 2208, 269, 2060, 9639, 543, 11428, 596, 666, 723, 513, 4190, 15989, 602, 786, 2063, 585, 1296, 256, 0, 9596, 13229, 18467, 547, 21561, 4826, 16242, 9453, 513, 27124, 269, 11822, 10298, 585, 8899, 16242, 12983, 269, 28389, 2659, 4826, 10046, 3767, 2336, 4462, 6674, 519, 11580, 547, 20993, 1216, 2604, 1510, 519, 991, 585, 513, 6802, 269, 10812, 938, 3102, 3391, 593, 2810, 1216, 2604, 24672, 538, 707, 1753, 269, 13028, 4052, 4388, 543, 2653, 3562, 17000, 3268, 538, 2312, 2296, 267, 4180, 513, 31484, 548, 6954, 3070, 585, 4824, 1216, 2095, 269, 17166, 1434, 25742, 547, 1970, 1216, 2604, 2152, 609, 938, 4274, 5796, 563, 1692, 547, 21561, 4826, 16242, 1510, 513, 27124, 454, 12850, 2604, 4249, 513, 2629, 1909, 538, 1585, 3344, 540, 938, 3232, 2729, 267, 689, 2596, 7622, 2238, 547, 4853, 3157, 269, 29615, 12930, 1216, 2604, 5849, 519, 3608, 8647, 540, 21818, 1949, 267, 8992, 2500, 1216, 3892, 267, 543, 10597, 519, 2949, 3593, 1995, 269, 6787, 621, 779, 585, 513, 24253, 17643, 267, 1697, 12555, 267, 610, 6325, 5106, 540, 14233, 267, 4509, 6099, 1216, 2604, 568, 4105, 585, 519, 10342, 543, 13418, 540, 938, 5321, 543, 4213, 563, 8139, 4826, 16242, 454, 12850, 2604, 568, 519, 3196, 25116, 676, 1216, 6675, 1996, 519, 6821, 540, 12992, 267, 26892, 267, 543, 824, 7252, 1369, 513, 21818, 1062, 269, 898, 568, 513, 2565, 5057, 540, 3608, 1216, 3892, 543, 6165, 563, 19187, 1216, 2604, 5849, 602, 1216, 10301, 922, 5497, 18353, 693, 519, 1318, 2095, 2557, 267, 14123, 1585, 7622, 543, 4853, 2238, 269, 4197, 519, 6384, 540, 1216, 2604, 568, 1898, 585, 4509, 513, 6198, 543, 6325, 1216, 3761, 563, 26502, 14118, 9760, 4826, 16242, 454, 24836, 6143, 281, 32322, 4249, 513, 4909, 1909, 538, 8159, 1216, 2604, 269, 769, 513, 21818, 1062, 267, 1216, 8928, 689, 2362, 547, 2539, 6173, 725, 267, 609, 8904, 12018, 519, 3196, 543, 3432, 540, 519, 1216, 269, 901, 14965, 7485, 568, 513, 1883, 3815, 538, 2870, 519, 2556, 2604, 585, 1216, 547, 2951, 998, 12992, 543, 3914, 922, 10278, 563, 292, 4582, 566, 281, 634, 15038, 540, 513, 4087, 3448, 547, 519, 1216, 2707, 5540, 1216, 2604, 269, 1306, 1216, 7575, 15081, 650, 267, 621, 13341, 2799, 4187, 1996, 8904, 267, 4611, 538, 513, 6175, 538, 2604, 269, 17957, 267, 607, 1216, 1784, 1742, 610, 7575, 547, 2539, 6173, 725, 267, 519, 14965, 3196, 11226, 538, 4509, 610, 1256, 2810, 2604, 563, 303, 6559, 18924, 2678, 543, 20099, 281, 634, 8006, 543, 3259, 540, 12992, 538, 513, 21818, 1062, 3648, 1764, 1216, 2604, 269, 715, 5535, 12992, 543, 3476, 9883, 666, 3565, 547, 11508, 543, 4187, 267, 3056, 547, 513, 6749, 538, 2604, 269, 4197, 519, 3741, 540, 5714, 6384, 2337, 538, 8939, 3617, 10612, 7306, 543, 19383, 547, 2226, 6099, 1216, 2604, 2429, 519, 1062, 563, 12850, 11905, 27519, 281, 634, 4390, 540, 519, 1216, 2707, 267, 971, 607, 513, 18513, 3761, 610, 1134, 267, 7506, 2949, 1216, 2604, 269, 1403, 519, 2707, 3112, 1683, 606, 7850, 4320, 540, 1216, 547, 2743, 3747, 267, 2604, 949, 581, 19847, 269, 11790, 899, 3747, 15088, 267, 1062, 4390, 267, 543, 519, 4527, 540, 1216, 4859, 3435, 849, 1404, 513, 1909, 538, 8159, 1216, 2604, 2157, 563, 29819, 540, 8899, 4826, 16242, 454, 32575, 5871, 12580, 454, 28403, 1944, 519, 4191, 540, 1970, 1216, 2604, 568, 2629, 585, 5466, 2152, 16425, 269, 5871, 2589, 1331, 3500, 1216, 2095, 689, 31316, 1115, 610, 29636, 267, 4617, 1216, 6908, 538, 14233, 899, 11067, 6191, 267, 543, 7411, 11423, 11149, 3533, 563, 12234, 267, 2011, 838, 32211, 689, 512, 2355, 610, 12150, 2095, 3270, 616, 22566, 540, 1761, 2042, 609, 1216, 2604, 269, 1635, 1373, 21713, 547, 891, 2589, 267, 21427, 666, 2697, 543, 2232, 1970, 1216, 2604, 1354, 621, 3648, 5222, 3232, 2238, 563, 25842, 593, 5600, 3835, 11242, 454, 20181, 1216, 2604, 666, 3648, 17225, 1585, 7622, 2238, 267, 7133, 1312, 4313, 543, 10342, 269, 1744, 1077, 532, 949, 1831, 1447, 17598, 609, 4389, 1216, 2095, 267, 543, 11067, 8286, 610, 9660, 949, 1491, 3476, 1813, 547, 16283, 2604, 538, 31316, 1115, 543, 14233, 563, 290, 8504, 543, 7738, 4247, 949, 849, 581, 19847, 267, 18363, 519, 2949, 4398, 543, 13418, 540, 3232, 13467, 269, 4197, 519, 6286, 540, 1970, 1216, 2604, 19156, 519, 2956, 540, 4509, 6099, 2157, 585, 513, 15774, 543, 11791, 2713, 1604, 563, 27735, 540, 18601, 8899, 4826, 16242, 454, 11754, 7675, 1970, 1216, 2604, 568, 1898, 547, 2061, 2417, 8374, 543, 28842, 7891, 269, 769, 1228, 12930, 2604, 666, 8833, 21818, 26892, 543, 14233, 267, 3056, 547, 16349, 5957, 543, 15237, 563, 11101, 267, 1970, 2604, 949, 581, 513, 10835, 540, 5817, 2152, 267, 971, 607, 20984, 267, 3625, 1137, 267, 610, 1062, 23659, 17313, 267, 799, 267, 952, 2451, 796, 3430, 2105, 267, 666, 1267, 538, 811, 1713, 3441, 543, 14427, 18203, 269, 1160, 5562, 8446, 543, 6571, 540, 1970, 1216, 2604, 711, 1152, 2327, 513, 12347, 4881, 7622, 855, 849, 3565, 547, 519, 15325, 543, 4398, 540, 519, 21818, 1062, 563, 10267, 9535, 585, 2274, 6545, 454, 268, 10439, 6184, 18936, 281, 10670, 676, 11617, 8524, 532, 782, 7298, 12992, 267, 10549, 267, 543, 4296, 585, 1022, 4191, 540, 1216, 20984, 269, 6733, 585, 1216, 25859, 267, 14927, 1145, 267, 610, 9044, 2208, 267, 607, 891, 949, 5815, 6456, 20984, 563, 268, 6744, 674, 14072, 1115, 543, 674, 4869, 999, 281, 25826, 31316, 1115, 267, 17643, 21650, 267, 543, 824, 26892, 585, 7298, 20984, 610, 5671, 1186, 269, 570, 697, 523, 1022, 10690, 4296, 543, 5372, 12816, 13050, 729, 1667, 610, 575, 2532, 1115, 563, 268, 631, 2678, 7335, 281, 12414, 1055, 782, 1216, 268, 6748, 14233, 543, 26892, 267, 1287, 2638, 519, 1216, 11281, 269, 1403, 519, 11281, 568, 1869, 4881, 267, 621, 5267, 513, 1761, 6456, 13451, 269, 18554, 519, 11281, 585, 1022, 3350, 1282, 5712, 950, 1216, 568, 711, 8362, 1373, 1031, 563, 11900, 1051, 532, 1773, 17741, 674, 4869, 999, 454, 268, 17179, 17224, 2209, 281, 20767, 2939, 543, 11935, 666, 18645, 538, 31316, 564, 7098, 2209, 267, 7133, 1216, 2095, 269, 17179, 543, 2973, 7098, 2209, 267, 4180, 19727, 24071, 1216, 8574, 563, 268, 6744, 585, 1849, 9233, 281, 25826, 16173, 543, 17643, 28368, 585, 1022, 7298, 804, 9233, 269, 2422, 513, 32168, 518, 610, 513, 8963, 13131, 547, 4894, 3625, 1137, 602, 949, 581, 28142, 1216, 2095, 563, 268, 28018, 16242, 7304, 14445, 532, 4406, 557, 281, 1403, 707, 21818, 1062, 814, 513, 2604, 3146, 706, 1424, 11896, 267, 2638, 922, 4259, 269, 17797, 621, 607, 2877, 547, 2327, 621, 568, 711, 12145, 1216, 2604, 811, 982, 2556, 563, 24066, 15070, 519, 6301, 4826, 18242, 454, 268, 1744, 583, 14114, 742, 4406, 557, 6184, 18936, 281, 700, 11229, 519, 1292, 9505, 11325, 11896, 543, 2327, 621, 568, 4628, 1930, 269, 1403, 519, 11896, 568, 13148, 6806, 267, 621, 666, 6615, 1216, 2095, 883, 519, 2777, 563, 268, 16242, 4530, 281, 18430, 513, 2241, 2604, 1449, 676, 1140, 2286, 513, 2604, 15378, 547, 606, 9205, 31316, 564 ]

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

[ 706, 576, 10857, 10033, 1101, 267, 2034, 281, 535, 262, 346, 14140, 9574, 2715, 16149, 348, 3299, 1582, 269, 12407, 4394, 994, 2018, 713, 6831, 1712, 815, 535, 262, 346, 1345, 20508, 12917, 346, 10472, 318, 12407, 4394, 11468, 6352, 263, 10472, 318, 12407, 4394, 13580, 16585, 7055, 1038, 3116, 912, 2018, 713, 6831, 1712, 815, 535, 262, 346, 1345, 20508, 348, 3890, 7055, 1038, 2132, 713, 6831, 1712, 454, 0, 5814, 1770, 11687, 692, 5228, 2132, 6958, 4233, 1104, 17776, 31262, 7531, 5035, 4530, 27987, 31262, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1449, 318, 8873, 6958, 4233, 4311, 2187, 1038, 1582, 27863, 18692, 2018, 17776, 31262, 3488, 8873, 4756, 1267, 8339, 20889, 3890, 1040, 13892, 2676, 2018, 1412, 8873, 1267, 5073, 1038, 1582, 27863, 18692, 2018, 17776, 31262, 3488, 8873, 5569, 1267, 568, 8120, 8339, 20889, 3890, 1040, 13892, 2676, 2018, 1412, 8873, 1422, 262, 14310, 568, 8120, 315, 5257, 9239, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1770, 11687, 6230, 664, 3890 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 302, 24810, 5590, 25557, 10055, 454, 1432, 568, 606, 24722, 5590, 25557, 10055, 888, 2304, 4013, 11175, 2272, 568, 513, 2027, 1826, 540, 2272, 1031, 538, 3486, 3666, 540, 11033, 630, 22517, 303, 264, 8051, 547, 3950, 519, 8852, 540, 15395, 7221, 540, 3844, 8492, 1851, 2933, 269, 634, 4013, 11175, 2272, 13475, 8852, 5473, 4154, 267, 4914, 5385, 14425, 267, 4871, 12074, 543, 2027, 5373, 2924, 630, 306, 11403, 338, 1916, 29973, 569, 267, 713, 1826, 540, 2272, 8952, 3950, 540, 8852, 1644, 547, 3486, 14425, 543, 3844, 4871, 7221, 602, 616, 11843, 1063, 6082, 547, 7017, 513, 3666, 540, 11033, 17211, 610, 21045, 563, 7659, 2798, 547, 3314, 454, 268, 1323, 4013, 11175, 2272, 568, 1031, 547, 3950, 543, 2594, 519, 3486, 3666, 540, 11033, 1063, 3844, 8492, 563, 268, 898, 568, 1031, 547, 7017, 19132, 540, 7221, 543, 2518, 13075, 14425, 602, 32694, 1063, 519, 3844, 8492, 540, 6082, 563, 268, 18831, 1413, 547, 891, 6589, 547, 6895, 3854, 856, 6503, 338, 543, 1102, 869, 338, 547, 543, 689, 824, 2477, 563, 8139, 4013, 11175, 6589, 454, 302, 24810, 11175, 6589, 616, 1031, 538, 3486, 3666, 540, 11033, 8051, 543, 2099, 519, 1699, 2272, 543, 3854, 2272, 540, 3844, 8492, 269, 634, 1699, 2272, 5638, 513, 2197, 779, 20558, 543, 18666, 540, 5370, 267, 2533, 267, 4747, 267, 543, 19132, 267, 543, 6920, 2436, 519, 2197, 568, 513, 2121, 3841, 3218, 610, 513, 2121, 7963, 528, 269, 634, 3854, 2272, 5638, 519, 1689, 538, 4914, 543, 6469, 5092, 267, 1857, 24228, 543, 4357, 5823, 24228, 269, 1879, 972, 568, 513, 17211, 610, 513, 21045, 538, 519, 3666, 540, 11033, 267, 1102, 869, 338, 610, 856, 6503, 338, 540, 15395, 7221, 3142, 519, 2489, 24432, 1394, 547, 11466, 269, 901, 568, 6592, 538, 519, 4013, 11175, 2272, 563, 763, 7813, 585, 4139, 5590, 1479, 906, 630, 289, 3041, 264, 568, 606, 3486, 2883, 9872, 602, 6663, 547, 3895, 2518, 13075, 543, 2883, 6617, 543, 15387, 23388, 540, 4013, 11175, 6589, 269, 634, 645, 3041, 568, 3006, 5219, 547, 607, 519, 968, 25218, 4871, 540, 3844, 8492, 892, 1317, 621, 2488, 12948, 2533, 547, 5238, 971, 607, 519, 3864, 6239, 7813, 543, 519, 8549, 15944, 563, 9199, 9535, 606, 24722, 5590, 25557, 10055, 454, 301, 725, 1832, 606, 3750, 593, 519, 4013, 11175, 2272, 547, 2708, 741, 2804, 1072, 538, 519, 2518, 4346, 269, 1403, 972, 616, 31934, 856, 6503, 338, 540, 15395, 7221, 585, 513, 2197, 267, 713, 1797, 602, 922, 28211, 538, 6721, 29633, 5370, 568, 5266, 1970, 267, 610, 602, 922, 1870, 1604, 568, 711, 607, 10694, 607, 602, 6035, 676, 1866, 269, 2197, 585, 4914, 1463, 5092, 563, 288, 4182, 609, 5312, 1699, 2272, 22907, 666, 1287, 25666, 3609, 1095, 18587, 547, 2087, 519, 2298, 540, 922, 2472, 585, 13143, 610, 3343, 5385, 2557, 11941, 547, 1118, 741, 18666, 811, 3902, 8013, 269, 898, 666, 849, 2119, 547, 1711, 1732, 2175, 585, 3486, 3549, 3168, 547, 1628, 1007, 15327, 13383, 269, 12525, 15314, 267, 5989, 3785, 543, 812, 12741, 2866, 3292, 1223, 581, 9415, 676, 513, 2197, 547, 4308, 609, 13311, 856, 6503, 338, 6592, 538, 922, 4013, 11175, 2272, 269, 0, 763, 5767, 3573, 2963, 1759, 1353, 689, 519, 3703, 4750, 540, 12594, 20147, 602, 1418, 1227, 6738, 7031, 2270, 3648, 2362, 2157, 540, 5567, 543, 14434, 282, 543, 2539, 2157, 540, 20017, 26606, 267, 6491, 1679, 543, 13851, 269, 22702, 609, 3140, 2090, 713, 1353, 8507, 538, 811, 6325, 8753, 563, 19547, 624, 762, 13851, 616, 2185, 2053, 2362, 538, 6671, 7031, 269, 22500, 814, 519, 5207, 23561, 4908, 1107, 476, 4037, 260, 3379, 609, 5388, 693, 476, 3953, 9077, 4061, 952, 596, 666, 6488, 5214, 4829, 596, 786, 581, 3648, 2810, 707, 14434, 543, 13302, 707, 23561, 4452, 563, 3383, 952, 5214, 814, 2362, 14434, 1018, 1281, 713, 1611, 286, 4165, 9171, 1218, 9243, 1047, 1863, 18119, 7303, 873, 689, 14124, 2281, 799, 14014, 721, 689, 5312, 2068, 543, 1978, 11871, 563, 2414, 1265, 856, 811, 979, 547, 8940, 269, 31542, 817, 27937, 3820, 0, 309, 4314, 532, 18618, 6794, 568, 513, 1826, 540, 31761, 269, 898, 781, 849, 1572, 7106, 8960, 18618, 6794, 267, 543, 621, 4523, 950, 972, 781, 513, 2530, 540, 835, 4816, 538, 513, 2789, 6379, 269, 15394, 621, 4386, 2038, 538, 6379, 543, 3322, 519, 2530, 540, 835, 18618, 267, 1247, 519, 824, 18618, 3470, 1161, 563, 763, 19341, 5160, 689, 519, 642, 4314, 532, 18618, 568, 2356, 12842, 676, 519, 3993, 543, 519, 17005, 4816, 269, 27824, 569, 630, 604, 519, 2530, 4523, 1310, 476, 1321, 4374, 950, 7633, 616, 2907, 4646, 1070, 519, 21565, 3587, 24609, 539, 538, 519, 29897, 17011, 543, 568, 4362, 1282, 6765, 269, 901, 568, 1572, 513, 834, 325, 28127, 13099, 344, 15869, 639, 1701, 769, 1360, 4686, 2665, 267, 519, 17005, 4816, 3217, 593, 930, 540, 519, 4503, 18618, 781, 2281, 543, 3587, 513, 16403, 5028, 1107, 835, 1268, 609, 1079, 5036, 540, 5027, 563, 1432, 568, 513, 26220, 18618, 888, 288, 26220, 18618, 568, 20775, 547, 642, 4314, 532, 18618, 6794, 269, 898, 781, 513, 1826, 540, 8580, 334, 1441, 18618, 602, 4523, 950, 835, 9838, 18618, 13515, 3384, 2038, 593, 269, 1306, 513, 1267, 267, 621, 781, 711, 4625, 4646, 543, 568, 7923, 547, 519, 1071, 2389, 7773, 269, 9521, 824, 8580, 334, 1441, 21054, 945, 1312, 723, 2919, 12058, 543, 616, 1142, 8647, 267, 519, 896, 16467, 539, 26220, 18618, 568, 4625, 8200, 593, 519, 1071, 2389, 7773, 630, 21406, 519, 8789, 18618, 264, 543, 3112, 7639, 593, 922, 1378, 563, 763, 17005, 18618, 949, 581, 4535, 609, 5160, 610, 17873, 689, 519, 26220, 18618, 7923, 547, 621, 269, 13880, 673, 8851, 568, 2556, 1310, 4332, 563, 13640, 553, 12792, 21054, 616, 1360, 4686, 267, 9648, 538, 827, 835, 856, 540, 1169, 2929, 24570, 563, 1692, 1455, 568, 642, 4314, 532, 18618, 6794, 888, 309, 4314, 532, 18618, 6794, 568, 7168, 1455, 269, 898, 4386, 538, 827, 476, 3607, 2600, 540, 18618, 26691, 267, 827, 3368, 540, 26691, 609, 1614, 610, 811, 24201, 267, 543, 827, 476, 736, 547, 476, 1789, 2600, 540, 26691, 6913, 609, 19443, 10285, 2029, 630, 11286, 1916, 309, 4314, 532, 21054, 723, 1044, 5051, 13006, 2094, 519, 2834, 946, 540, 16953, 267, 855, 972, 949, 581, 1082, 811, 2665, 1317, 519, 6794, 666, 4755, 1360, 2038, 593, 267, 1256, 1354, 513, 1101, 16953, 563, 21618, 540, 642, 4314, 532, 18618, 6794, 454, 7197, 540, 519, 942, 267, 513, 18618, 786, 642, 4314, 1510, 2589, 267, 855, 3006, 972, 786, 581, 31761, 2589, 267, 971, 607, 912, 27246, 540, 642, 4314, 532, 18618, 6794, 454, 29995, 649, 1810, 1405, 917, 1018, 3123, 642, 4314, 532, 18618, 6794, 267, 855, 2188, 1522, 1331, 912, 268, 11628, 14774, 2085, 630, 1478, 476, 3374, 264, 630, 1607, 949, 3274, 581, 1317, 2789, 26691, 616, 811, 2693, 538, 4587, 2021, 8094, 268, 26537, 23865, 17244, 538, 519, 8709, 1639, 18618, 454, 268, 2422, 540, 19443, 10285, 2553, 454, 268, 9540, 30302, 610, 824, 726, 659, 1581, 17244, 454, 1692, 786, 594, 917, 952, 594, 723, 513, 642, 4314, 532, 18618, 888, 7197, 1419, 513, 642, 4314, 532, 18618, 568, 8995, 1282, 606, 16953, 269, 15380, 267, 707, 1101, 16953, 1131, 3713, 1079, 630, 528, 811, 264, 29556, 5485, 338, 610, 1079, 24201, 267, 543, 596, 9364, 581, 5143, 596, 2811, 8876, 21054, 269, 2311, 513, 2663, 16953, 267, 1498, 267, 835, 540, 519, 2295, 2041, 1846, 1107, 610, 21872, 610, 19341, 5485, 1107, 9327, 1405, 581, 1336, 269, 6884, 267, 1152, 835, 21565, 1131, 581, 2938, 1369, 513, 29556, 5485, 267, 543, 519, 824, 1131, 581, 8900, 630, 528, 723, 513, 21565, 1510, 513, 26470, 1916, 305, 732, 569, 267, 513, 642, 4314, 532, 18618, 3884, 1405, 4362, 2394, 1310, 6765, 267, 950, 19341, 5160, 689, 519, 642, 4314, 532, 18618, 568, 7298, 538, 519, 30302, 630, 528, 593, 519, 17005, 18618, 264, 1310, 621, 781, 9447, 563, 309, 4314, 532, 18618, 6794, 2126, 454, 29995, 1100, 2126, 568, 2556, 585, 596, 610, 707, 4816, 950, 642, 4314, 532, 18618, 6794, 4386, 538, 519, 1101, 959, 30478, 563, 2252, 621, 4386, 538, 519, 2034, 610, 3791, 959, 30478, 267, 707, 6379, 949, 581, 2808, 1164, 1981, 269, 2659, 27877, 786, 6895, 596, 5702, 585, 4191, 540, 8374, 267, 855, 972, 616, 1100, 1808, 5574, 2016, 585, 642, 4314, 532, 18618, 6794, 563, 309, 4314, 532, 18618, 1764, 593, 17005, 18618, 454, 1103, 1034, 2665, 267, 519, 17005, 18618, 3884, 1405, 11874, 4299, 676, 642, 4314, 532, 18618, 6794, 269, 901, 568, 2523, 3020, 950, 519, 6794, 4523, 538, 519, 1101, 959, 30478, 563, 2252, 642, 4314, 532, 18618, 6794, 4386, 2663, 538, 6379, 267, 2523, 952, 519, 21054, 2671, 835, 30302, 267, 972, 616, 2009, 2360, 593, 17005, 1071, 2389, 342, 1231, 269, 11088, 267, 1034, 17005, 21054, 616, 5386, 267, 4352, 930, 540, 519, 1382, 814, 11329, 547, 606, 2799, 1981, 540, 912, 268, 24583, 13887, 25097, 344, 454, 268, 20031, 1155, 4332, 454, 268, 30123, 1049, 3987, 454, 268, 20031, 1155, 28230, 540, 17011, 630, 303, 15375, 994, 268, 744, 5554, 334, 5139, 1090, 333, 3930, 630, 869, 993, 333, 8438, 5714, 994, 268, 595, 969, 673, 1202, 340, 11797, 454, 268, 2271, 571, 17458, 710, 2208, 19231, 630, 296, 308, 16165, 994, 268, 8899, 4332, 2597, 454, 268, 8899, 7442, 3258, 6060, 454, 268, 17510, 12889, 454, 268, 23862, 2669, 454, 7312, 4387, 786, 6895, 596, 585, 2009, 4191, 540, 1644, 8374, 2429, 707, 6379, 543, 6765, 563, 1432, 568, 519, 1764, 540, 642, 4314, 532, 18618, 593, 3158, 888, 4407, 519, 2168, 1764, 540, 2348, 513, 642, 4314, 532, 18618, 3884, 1405, 2356, 16609, 267, 596, 949, 1265, 3054, 10010, 14156, 563, 23804, 856, 602, 596, 2811, 8876, 21054, 543, 1287, 1373, 5143, 602, 596, 4312, 4503, 835, 540, 873, 666, 581, 1360, 1253, 7675, 269, 1411, 4312, 1185, 513, 31761, 267, 855, 596, 2811, 1869, 9176, 269, 1411, 949, 1745, 16236, 693, 519, 2530, 855, 6126, 602, 596, 2811, 1869, 8876, 513, 17005, 4816, 563, 18704, 707, 4606, 609, 2576, 2673, 543, 5924, 3343, 3318, 948, 269, 32695, 609, 824, 2021, 945, 723, 1185, 513, 642, 4314, 532, 18618, 610, 824, 31761, 1522, 581, 3730, 269, 1411, 1522, 899, 547, 1921, 609, 824, 2021, 2228, 538, 519, 17926, 290, 10938, 2146, 269, 0, 763, 29630, 1014, 15142, 267, 1419, 1572, 519, 29630, 2103, 267, 616, 513, 1062, 540, 10239, 538, 9456, 547, 27040, 3345, 3013, 269, 634, 29630, 2103, 1101, 4646, 10199, 476, 21878, 2929, 1296, 3516, 1282, 519, 18103, 990, 6509, 11270, 563, 7617, 568, 4587, 29630, 2103, 610, 27743, 15142, 888, 20776, 29418, 267, 519, 9412, 625, 616, 1454, 7820, 982, 519, 2144, 10757, 29630, 1014, 15142, 547, 519, 7532, 269, 634, 9412, 625, 941, 4646, 1063, 476, 3199, 543, 476, 4649, 2929, 1296, 3516, 267, 6466, 519, 29630, 2103, 616, 5176, 476, 4335, 2929, 1296, 2025, 563, 7617, 7823, 2039, 568, 519, 9510, 888, 6097, 547, 1034, 3744, 267, 519, 9510, 7823, 2039, 593, 3047, 568, 1572, 519, 4446, 828, 2023, 5682, 7723, 25028, 543, 568, 1336, 538, 3162, 4000, 269, 898, 779, 6059, 602, 519, 2039, 568, 693, 2547, 476, 274, 269, 273, 5479, 630, 13433, 267, 5479, 14386, 1296, 2025, 563, 1432, 779, 519, 9510, 10239, 538, 3345, 3013, 888, 763, 8225, 29630, 1014, 15142, 616, 519, 9510, 10239, 538, 3345, 3013, 269, 4495, 15198, 607, 1164, 607, 519, 32595, 538, 2342, 543, 519, 27743, 15142, 540, 519, 4639, 267, 789, 723, 1044, 12816, 1524, 676, 2067, 11761, 936, 6634, 540, 1296, 267, 8108, 519, 9543, 19527, 649, 1294, 2221, 563, 1432, 568, 519, 1158, 779, 9510, 7823, 2039, 2626, 888, 763, 7984, 1023, 568, 519, 1158, 779, 9510, 31607, 7823, 2039, 269, 1358, 941, 4646, 538, 519, 3735, 3327, 26448, 1974, 267, 950, 513, 11782, 9967, 7361, 540, 27584, 4997, 2458, 3660, 609, 519, 2706, 29657, 602, 8659, 1454, 540, 519, 1158, 779, 2244, 693, 519, 942, 281, 519, 4999, 540, 700, 4768, 14901, 630, 292, 2202, 543, 3345, 3013, 264, 543, 717, 1180, 32272, 563, 31549, 972, 2479, 1044, 513, 7823, 26339, 982, 31231, 560, 888, 300, 870, 1622, 26339, 982, 31231, 560, 2291, 1631, 269, 8575, 10044, 3223, 320, 568, 476, 9610, 271, 7397, 26339, 982, 31231, 560, 269, 31231, 560 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 593, 799, 17633, 941, 3710, 563, 1432, 568, 519, 3487, 1156, 517, 888, 763, 11454, 26621, 519, 15831, 23723, 320, 267, 3710, 593, 519, 3600, 24227, 1657, 18603, 563, 1432, 568, 513, 7242, 888, 288, 2757, 1650, 602, 2337, 547, 2491, 513, 2528, 781, 4978, 563, 1432, 568, 6189, 888, 763, 1148, 540, 8888, 5656, 563, 1432, 568, 17001, 888, 763, 1148, 540, 2870, 1614, 8820, 5515, 689, 2326, 971, 607, 3574, 267, 6149, 267, 543, 10036, 563, 1432, 568, 12416, 888, 763, 1148, 540, 1603, 267, 9117, 538, 267, 543, 6721, 4249, 563, 1432, 568, 6138, 888, 763, 3069, 610, 1305, 540, 2418, 676, 799, 835, 2729, 282, 519, 3406, 585, 7326, 610, 1702, 563, 1432, 729, 519, 19994, 641, 517, 5886, 1014, 2782, 888, 18183, 26555, 1063, 18603, 543, 1975, 21840, 630, 663, 824, 2749, 32145, 264, 689, 476, 32542, 547, 476, 29024, 14514, 563, 8005, 729, 12138, 519, 4279, 888, 763, 14610, 540, 513, 5318, 10504, 689, 24765, 8205, 547, 3127, 538, 519, 476, 4968, 338, 14514, 563, 1432, 729, 24765, 8205, 888, 2304, 3504, 10806, 5087, 540, 10255, 454, 1432, 568, 606, 10504, 888, 288, 1804, 10504, 538, 799, 1896, 2516, 540, 1004, 616, 12199, 676, 513, 2582, 6205, 610, 2229, 563, 1432, 1281, 621, 1611, 547, 6966, 888, 2414, 3442, 2576, 547, 6445, 606, 5604, 610, 2990, 563, 1432, 616, 5259, 19928, 1903, 888, 14813, 26475, 689, 519, 16380, 602, 5540, 721, 2221, 267, 607, 538, 519, 2127, 540, 1893, 267, 2229, 267, 4915, 267, 6128, 267, 543, 2257, 267, 6189, 267, 9913, 267, 543, 5026, 563, 1432, 568, 9511, 888, 763, 7936, 540, 6128, 5473, 267, 2798, 267, 3515, 267, 14742, 267, 543, 5515, 563, 1432, 568, 29978, 888, 288, 2268, 540, 875, 2484, 513, 1747, 593, 3047, 568, 689, 606, 16494, 1899, 602, 8255, 1063, 519, 3345, 543, 3162, 2717, 525, 593, 513, 8608, 563, 1432, 568, 20173, 888, 288, 2268, 540, 875, 2484, 513, 1747, 538, 3047, 568, 689, 519, 20337, 563, 24168, 631, 20846, 9338, 12569, 22244, 17395, 2483, 14532, 1325, 633, 256, 5149, 476, 276, 910, 9147, 10255, 454, 307, 5746, 9147, 10255, 454, 6637, 476, 1839, 270, 2918, 15642, 629, 454, 2419, 476, 1839, 543, 476, 2918, 4938, 629, 563, 30862, 2207, 10323, 4811, 15760, 24199, 595, 3918, 2969, 3036, 454, 26123, 7507, 4530, 5999, 0, 1708, 271, 268, 6349, 268, 2918, 476, 5881, 281, 2537, 10417, 540, 5274, 8447, 12618, 543, 4886, 269, 634, 2165, 1646, 568, 4749, 1031, 2059, 609, 2208, 543, 1256, 2808, 269, 4223, 4851, 568, 811, 2352, 547, 5581, 982, 2208, 269, 634, 27514, 1974, 13408, 267, 593, 519, 3328, 267, 827, 476, 1015, 16264, 3275, 630, 11004, 616, 476, 2764, 2395, 269, 20390, 12412, 269, 5787, 919, 454, 26502, 14118, 9760, 12618, 261, 4886, 12618, 261, 4886, 269, 1411, 616, 513, 10583, 2385, 540, 4816, 12891, 2917, 269, 670, 1229, 3202, 269, 1306, 1200, 3237, 267, 596, 1079, 2285, 12891, 2917, 519, 1101, 3815, 602, 7506, 1200, 2208, 7025, 269, 1411, 11291, 6217, 827, 519, 2085, 1245, 7521, 936, 2470, 5288, 269, 20741, 269, 2208, 543, 1646, 2188, 12018, 454, 26502, 6904, 21478, 5274, 12618, 543, 4886, 269, 7756, 4162, 540, 2208, 543, 1646, 899, 4987, 267, 19038, 6421, 267, 1560, 2497, 267, 4463, 267, 2597, 267, 2681, 540, 4552, 543, 4064, 616, 3810, 6766, 676, 19021, 640, 269, 11557, 281, 11557, 568, 513, 1360, 1271, 3815, 799, 7506, 1480, 2208, 543, 1646, 563, 2467, 616, 1082, 2188, 602, 2047, 3310, 519, 2208, 543, 1646, 540, 513, 1126, 269, 5272, 2385, 1058, 581, 3222, 540, 891, 2798, 269, 589, 1126, 2115, 1312, 2168, 543, 2790, 1489, 585, 1697, 2208, 543, 1646, 269, 4634, 519, 2262, 2208, 543, 1646, 616, 1114, 269, 7216, 6689, 1646, 568, 513, 2629, 3815, 585, 2698, 1272, 269, 2208, 543, 1646, 2188, 12018, 454, 272, 269, 18726, 543, 670, 1229, 640, 2188, 540, 5753, 12618, 543, 4886, 269, 670, 1229, 640, 543, 18726, 2188, 16976, 2450, 261, 3337, 540, 519, 1560, 267, 4061, 1920, 2818, 7703, 11696, 28917, 269, 634, 4162, 616, 10299, 998, 6090, 602, 616, 10257, 585, 1920, 4576, 585, 1383, 3987, 269, 11790, 602, 3310, 1126, 2208, 543, 1646, 269, 17502, 1470, 11296, 2188, 799, 2322, 519, 1665, 593, 2208, 543, 1646, 616, 281, 7254, 3202, 2175, 267, 1585, 26220, 21693, 573, 885, 267, 8027, 267, 2566, 267, 2883, 3510, 269, 589, 8997, 543, 3872, 2188, 901, 2882, 1920, 2916, 269, 4935, 538, 513, 1920, 13856, 676, 9350, 543, 27277, 267, 589, 281, 7025, 2188, 602, 3310, 2208, 543, 1646, 538, 3425, 1331, 6689, 8027, 12417, 267, 1920, 4747, 267, 3872, 3255, 267, 14375, 3347, 543, 7694, 22366, 2188, 267, 2687, 547, 7454, 3399, 267, 14411, 781, 631, 11189, 1715, 9799, 543, 7216, 4132, 4886, 12754, 10418, 269, 2208, 543, 1646, 2188, 12018, 454, 763, 1699, 4891, 1331, 519, 3979, 4886, 7813, 1489, 547, 519, 14502, 543, 15642, 1049, 4065, 543, 9751, 1016, 5823, 267, 6167, 32019, 1489, 547, 519, 9978, 4065, 1016, 5823, 267, 543, 519, 9099, 4886, 7813, 1489, 547, 10026, 2069, 563, 26322, 20871, 602, 6435, 2296, 5678, 22996, 6435, 995, 25103, 585, 19198, 540, 2296, 5678, 22996, 5441, 22512, 518, 3367, 1465, 585, 2296, 5678, 22996, 454, 32153, 4432, 580, 2225, 25890, 630, 303, 4488, 1040, 1715, 3610, 616, 14718, 585, 519, 623, 4488, 2899, 789, 723, 1558, 782, 15930, 4116, 13995, 4170, 543, 1152, 952, 789, 616, 711, 2943, 6964, 676, 513, 15930, 1153, 610, 8664, 269, 9208, 12333, 25890, 594, 630, 9915, 290, 594, 1040, 11334, 616, 14718, 585, 519, 9501, 290, 594, 1310, 7694, 693, 513, 15930, 1857, 1153, 563, 763, 9631, 333, 756, 639, 2069, 3915, 2813, 519, 16506, 12333, 3447, 1807, 13397, 14819, 543, 11621, 8274, 630, 303, 30600, 289, 264, 547, 936, 5408, 543, 2936, 4116, 24416, 585, 519, 1533, 540, 16506, 269, 4595, 5130, 476, 272, 267, 476, 1001, 279, 267, 519, 9021, 5645, 856, 676, 519, 16506, 4972, 540, 4065, 13397, 14819, 10406, 543, 519, 8274, 540, 9752, 941, 19597, 730, 883, 454, 310, 531, 23753, 2961, 335, 1115, 595, 322, 630, 16371, 19255, 264, 25439, 543, 10934, 540, 17372, 281, 476, 273, 14880, 16399, 681, 323, 267, 4024, 578, 2023, 267, 623, 2884, 1069, 541, 6308, 7921, 267, 476, 17168, 272, 267, 3162, 4000, 267, 32765, 1794, 21343, 715, 7614, 267, 6355, 17352, 267, 19901, 1290, 680, 11989, 543, 13158, 902, 585, 2961, 7065, 20958, 619, 261, 13583, 20445, 538, 32765, 1794, 21343, 715, 7614, 269, 13555, 3767, 2336, 763, 476, 4489, 277, 14914, 29547, 538, 476, 1428, 5013, 269, 476, 1428, 4277, 5013, 267, 930, 1134, 1634, 543, 930, 7164, 267, 602, 9034, 1047, 476, 4489, 277, 269, 2353, 3401, 540, 519, 476, 4489, 277, 8375, 5185, 4693, 267, 28465, 941, 13401, 267, 5111, 476, 274, 267, 476, 1822, 811, 2404, 609, 519, 2516, 941, 18486, 269, 19881, 9452, 563, 299, 553, 13394, 340, 523, 857, 553, 632, 3288, 1368, 518, 571, 1583, 333, 3288, 15148, 1075, 514, 678, 25901, 267, 1714, 10841, 523, 810, 14926, 324, 26410, 334, 267, 586, 1212, 7568, 15255, 17680, 564, 553, 6446, 3771, 333, 4412, 545, 807, 3288, 5302, 1495, 320, 1368, 518, 571, 24634, 658, 586, 3288, 1368, 518, 571, 9808, 269, 11968, 4655, 657, 679, 1714, 929, 343, 24982, 7259, 324, 586, 679, 17485, 7195, 4754, 525, 512, 3711, 514, 1201, 548, 13568, 3288, 791, 3224, 320, 632, 3288, 2215, 5028, 1368, 518, 571, 24634, 658, 563, 21659, 582, 6181, 334, 281, 3371, 596, 666, 1404, 31584, 6181, 334, 269, 31584, 6181, 334, 568, 835, 540, 938, 5697, 6181, 334, 10632, 269, 7591, 31584, 6181, 334, 585, 5131, 267, 543, 5620, 8342, 256, 7797, 3014, 607, 7745, 269, 595, 30327, 1867, 540, 7745, 3014, 269, 1715, 10632, 269, 21832, 29553, 3733, 26280, 826, 29553, 3733, 26280, 826, 269, 21832, 670, 1961, 269, 476, 1470, 670, 1961, 269, 476, 1470, 269, 21832, 4639, 3019, 4639, 3019, 563, 3383, 540, 519, 476, 276, 7887, 1239, 4859, 3549, 972, 616, 676, 19614, 267, 621, 4667, 602, 1152, 4880, 1952, 630, 2793, 306, 6395, 304, 281, 24857, 4338, 264, 666, 1683, 9520, 609, 6209, 4598, 547, 1239, 4859, 693, 519, 4090, 269, 2755, 1239, 4859, 14767, 2178, 2208, 538, 519, 4947, 1296, 267, 922, 513, 4101, 2344, 547, 581, 538, 563, 306, 597, 3627, 632, 22757, 603, 267, 519, 17294, 540, 667, 3518, 691, 517, 16836, 267, 20729, 539, 5261, 28615, 538, 476, 9873, 276, 269, 1306, 513, 1267, 267, 28615, 729, 29802, 538, 519, 14500, 269, 25737, 713, 2376, 17292, 513, 2511, 2630, 267, 543, 5299, 519, 1257, 585, 707, 15853, 269, 17090, 9628, 269, 14905, 667, 3518, 691, 517, 630, 18314, 267, 10430, 1916, 13202, 476, 866, 267, 476, 1001, 278, 12409, 3014, 269, 634, 4819, 1590, 2736, 782, 31148, 609, 23385, 540, 519, 2016, 1297, 269, 18527, 546, 3241, 12409, 3014, 585, 476, 273, 5716, 269, 634, 5496, 568, 5258, 538, 1079, 2694, 267, 835, 585, 1142, 6345, 269, 2201, 1312, 2694, 2901, 513, 8691, 630, 272, 560, 3815, 1535, 476, 273, 526, 3815, 264, 610, 513, 1297, 616, 10268, 563, 12914, 476, 6860, 267, 476, 1001, 274, 7591, 17823, 320, 476, 1691, 261, 1306, 24615, 476, 279, 593, 7641, 1210, 28932, 2426, 30982, 8074, 476, 274, 11473, 3095, 538, 13517, 585, 875, 547, 898, 568, 476, 24798, 335, 711, 476, 10482, 271, 335, 865, 2503, 930, 13742, 593, 2539, 12449, 855, 812, 3884, 1405, 621, 3579, 547, 1404, 454, 4517, 4319, 16334, 597, 3650, 267, 14675, 10177, 1188, 281, 634, 2473, 16748, 269, 700, 2969, 12239, 16777, 4696, 299, 2562, 2464, 1412, 288, 638, 16120, 262, 570, 3591, 476, 280, 2412, 28985, 2622, 4204, 282, 590, 3415, 781, 1412, 292, 2675, 1901, 18740, 262, 1133, 331, 4169, 476, 1240, 300, 1546, 8117, 454, 9802, 476, 3066, 267, 476, 1001, 278, 1284, 3142, 547, 596, 3487, 476, 272, 540, 938, 258, 21850, 4629, 9915, 4488, 3582, 5967, 609, 20673, 9851, 267, 15713, 4759, 540, 681, 261, 645, 1895, 543, 2473, 15542, 528, 3803, 1235, 267, 681, 965, 25767, 269, 901, 568, 606, 5393, 967, 3704, 5967, 24223, 513, 2603, 540, 1018, 454, 763, 476, 279, 4375, 764, 2599, 568, 513, 966, 307, 7773, 2203, 543, 621, 7472, 513, 16434, 476, 7830, 7504, 12741, 585, 519, 476, 272, 267, 476, 11740, 335, 895, 3684, 269, 634, 31933, 14258, 1118, 519, 19954, 311, 1175, 1413, 3728, 543, 609, 1919, 899, 1164, 3724, 16295, 533, 3183, 454, 1692, 666, 519, 2626, 581, 4824, 888, 1001, 279, 12429, 781, 4303, 693, 24131, 9835, 22575, 269, 18270, 622, 12429, 781, 4303, 693, 519, 2197, 781, 1034, 11509, 32041, 256, 10566, 19281, 976, 269, 12429, 781, 4303, 11242, 269, 21025, 514, 2917, 10830, 8342, 12700, 269, 12815, 15638, 269, 4825, 841, 543, 667, 1456, 12700, 269, 6301, 32386, 269, 5851, 282, 12429, 781, 4303, 11242, 282, 8278, 19281, 976, 282, 21025, 514, 2917, 10830, 8342, 12700, 3248, 9802, 476, 278, 267, 476, 1001, 279, 634, 772, 269, 590, 269, 5253, 543, 10684, 10029, 630, 293, 6395, 264, 814, 9516, 5800, 7637, 14997, 11914, 338, 262, 1656, 1410, 343, 320, 267, 519, 1101, 3815, 2473, 320, 28166, 1884, 573, 1774, 8612, 585, 2550, 5701, 609, 678, 643, 541, 2135, 629, 534, 630, 311, 28328, 1729, 264, 543, 3284, 1460, 629, 534, 630, 14976, 1172, 529, 1070, 950, 30729, 540, 1884, 4815, 698, 1637, 568, 2877, 1813, 547, 454, 300, 3019, 12700, 1703, 616, 1082, 4277, 5013, 827, 519, 7599, 543, 31851, 602, 616, 666, 581, 4277, 547, 917, 269, 2368, 7599, 5013, 1331, 281, 634, 7599, 568, 711, 513, 4541, 267, 855, 513, 9682, 540, 519, 3047, 269, 634, 2627, 1858, 540, 519, 7599, 568, 476, 1691, 267, 476, 4792, 279, 267, 476, 1822, 4009, 5195, 610, 476, 280, 269, 476, 275, 5479, 14143, 282, 8307, 454, 21659, 667, 10455, 1372, 330, 267, 24138, 2701, 1188, 2401, 269, 2755, 667, 10455, 1372, 330, 781, 1101, 4641, 1397, 593, 24211, 309, 9676, 1864, 3735, 538, 1010, 4876, 607, 513, 3318, 25920, 4580, 518, 267, 9335, 13477, 2841, 3218, 543, 3659, 24138, 2701, 1188, 2401, 630, 2431, 264, 5182, 1042, 593, 606, 24211, 309, 4641, 1397, 29805, 5020, 540, 24138, 267, 799, 12286, 2701, 1188, 2401, 781, 4473, 883, 519, 605, 16034, 269, 0, 2026, 606, 16832, 5057, 540, 19202, 3334, 267, 3965, 13365, 723, 513, 2647, 2039, 540, 3156, 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 ]

[ 0, 288, 15501, 547, 1265, 856, 952, 11612, 7714, 536, 657, 976, 2291, 1862, 14722, 538, 16848, 616, 2679, 513, 3684, 547, 1449, 519, 2462, 29907, 3069, 540, 875, 519, 7122, 3459, 269, 1809, 1101, 789, 723, 547, 4020, 513, 2780, 3060, 602, 666, 6023, 519, 12531, 540, 1239, 519, 3926, 786, 3132, 269, 634, 1007, 267, 811, 3532, 9325, 5787, 1807, 267, 1634, 607, 519, 14066, 16874, 1258, 7502, 3187, 267, 568, 1373, 3710, 693, 595, 30204, 267, 519, 1482, 18230, 8047, 1141, 7033, 12672, 619, 6441, 2465, 2919, 519, 1158, 2647, 1357, 269, 2060, 971, 513, 1907, 267, 3744, 2161, 602, 789, 786, 2901, 581, 2111, 547, 3132, 519, 1482, 5536, 2219, 547, 723, 11478, 950, 519, 7122, 729, 4646, 267, 610, 789, 786, 723, 9863, 602, 971, 5536, 1175, 1810, 1405, 2291, 269, 1809, 1354, 789, 666, 1449, 741, 3069, 267, 519, 3744, 786, 991, 513, 2780, 3060, 5827, 540, 4393, 543, 13936, 519, 7372, 5666, 540, 1239, 602, 786, 2253, 884, 9405, 689, 519, 2458, 3187, 2899, 621, 6238, 1159, 4770, 5536, 1927, 538, 476, 1220, 278, 269, 1306, 513, 1267, 267, 3173, 693, 595, 30204, 2813, 7046, 18350, 267, 513, 7470, 7384, 3060, 2966, 547, 1449, 519, 1826, 540, 3937, 602, 568, 2693, 547, 581, 3044, 676, 519, 1647, 547, 1439, 540, 713, 8717, 950, 519, 1788, 2731, 4991, 896, 1259, 269, 769, 7470, 7384, 267, 1804, 2338, 540, 18376, 7193, 338, 543, 16434, 569, 21092, 13763, 616, 5532, 2066, 513, 3060, 538, 513, 1259, 602, 2636, 873, 547, 1599, 607, 513, 2582, 267, 5691, 2706, 26367, 269, 834, 763, 4126, 568, 602, 649, 267, 1927, 609, 4891, 267, 4194, 8726, 12961, 972, 616, 2437, 1767, 30473, 529, 27578, 267, 1646, 9614, 585, 519, 7046, 18350, 4674, 269, 27578, 4967, 602, 519, 9325, 5787, 1807, 568, 2693, 547, 581, 909, 543, 4881, 585, 513, 8717, 267, 2495, 789, 711, 1152, 991, 547, 3589, 1018, 786, 581, 519, 5767, 543, 6574, 2029, 538, 476, 1220, 278, 267, 855, 849, 799, 25121, 786, 829, 572, 3164, 2429, 519, 1272, 540, 519, 1788, 269, 634, 20576, 781, 1101, 4891, 941, 670, 1168, 27451, 6261, 871, 731, 543, 27311, 267, 799, 616, 12419, 898, 13203, 476, 273, 2861, 1949, 267, 607, 1134, 607, 9373, 553, 903, 17978, 267, 799, 568, 3246, 476, 1015, 3766, 580, 629, 527, 12656, 29364, 13033, 10591, 269, 22126, 568, 849, 11836, 519, 4674, 267, 3246, 3670, 1535, 306, 7685, 13763, 267, 476, 736, 1768, 17879, 5052, 540, 4859, 607, 1134, 607, 22126, 781, 1007, 19554, 26653, 4859, 2359, 3301, 269, 634, 7384, 3060, 568, 2966, 547, 3095, 5215, 540, 3744, 945, 786, 946, 519, 5787, 1807, 547, 2119, 547, 6961, 519, 6228, 540, 5536, 1634, 607, 11612, 7714, 536, 657, 976, 676, 973, 11661, 519, 2175, 2219, 547, 723, 11478, 16172, 1310, 519, 2462, 29907, 7018, 269, 11612, 7714, 4016, 547, 8834, 11612, 7714, 267, 519, 21997, 945, 1101, 17695, 1242, 519, 6228, 540, 971, 5536, 267, 1247, 536, 657, 976, 3277, 547, 519, 1362, 540, 5536, 3957, 585, 1776, 21997, 267, 590, 12991, 269, 645, 846, 269, 769, 1022, 2013, 267, 27578, 1767, 3744, 616, 7168, 2386, 519, 2458, 3187, 786, 3132, 519, 2175, 789, 991, 547, 1711, 519, 5536, 267, 952, 789, 2291, 693, 782, 269, 834, 2171, 616, 6158, 827, 267, 936, 519, 12732, 540, 519, 1788, 267, 17542, 540, 9489, 257, 540, 5092, 267, 27578, 1767, 269, 834, 2791, 9327, 1405, 1118, 713, 5092, 593, 513, 554, 4875, 1701, 634, 1788, 3322, 513, 2603, 540, 1239, 267, 799, 1058, 1683, 22126, 609, 15417, 2666, 538, 799, 547, 1449, 19554, 26653, 267, 1767, 808, 2967, 9093, 517, 267, 606, 22126, 3194, 29533, 945, 5280, 1020, 519, 3301, 269, 834, 8489, 789, 616, 2731, 3056, 6316, 610, 11702, 6316, 568, 519, 2450, 540, 519, 1239, 519, 616, 2870, 2437, 9093, 517, 1767, 269, 834, 5445, 616, 6158, 827, 6148, 10451, 2947, 4620, 17879, 5052, 630, 325, 633, 2929, 17254, 17879, 5052, 264, 540, 1239, 513, 1032, 2899, 789, 616, 909, 543, 4881, 1701, 1809, 1256, 609, 922, 1804, 6578, 267, 595, 30204, 666, 1405, 1628, 922, 7384, 4674, 689, 15072, 269, 11569, 267, 519, 8116, 568, 3168, 547, 7148, 4540, 7384, 543, 4859, 2200, 547, 3761, 1454, 540, 519, 3060, 781, 4390, 269, 2334, 568, 1018, 2306, 519, 1788, 4277, 547, 8262, 9791, 267, 3081, 8751, 8316, 330, 267, 2489, 9614, 540, 22126, 781, 7470, 7384, 1870, 269, 595, 30204, 781, 991, 547, 1265, 513, 1942, 15807, 1259, 547, 4383, 513, 7372, 7384, 1788, 1247, 1210, 4540, 7384, 2200, 568, 519, 1482, 3390, 602, 1870, 5561, 3068, 267, 8316, 330, 1767, 267, 4946, 834, 2254, 602, 649, 5749, 1405, 2731, 9599, 827, 9325, 6323, 1701, 1280, 24605, 543, 27311, 267, 519, 1788, 568, 513, 4960, 547, 3895, 519, 898, 13203, 7746, 13863, 607, 519, 1985, 5108, 540, 13416, 7746, 2029, 269, 4014, 1082, 1804, 3549, 616, 1869, 4152, 898, 13203, 2861, 13763, 267, 24605, 543, 595, 30204, 616, 25919, 602, 789, 786, 581, 2484, 811, 7839, 676, 519, 942, 519, 9325, 5787, 1807, 568, 4712, 269, 4634, 1498, 595, 30204, 568, 1175, 8391, 519, 1101, 540, 519, 9649, 4773, 602, 786, 1106, 519, 5787, 1807, 267, 519, 7384, 3060, 2115, 547, 581, 3710, 676, 476, 1220, 276, 267, 27578, 1767, 269, 4014, 519, 5787, 1807, 786, 711, 2943, 581, 4881, 267, 519, 3744, 3238, 538, 519, 1788, 786, 723, 547, 2253, 10992, 782, 540, 519, 11191, 3301, 789, 786, 946, 547, 2268, 543, 21613, 519, 2164, 3812, 676, 519, 5787, 1807, 3294, 269, 0, 5715, 3233, 12202, 568, 513, 3833, 2147, 2534, 547, 9205, 12202, 269, 634, 2101, 3017, 568, 602, 585, 11255, 12202, 596, 616, 12391, 585, 519, 2371, 538, 707, 1753, 1247, 9205, 786, 581, 538, 519, 4677, 3544, 269, 2290, 2101, 5413, 568, 602, 596, 786, 1205, 1569, 547, 12202, 1256, 952, 596, 2661, 538, 519, 2749, 543, 1810, 1406, 723, 1569, 547, 2244, 269, 1280, 1004, 945, 616, 849, 16876, 16280, 899, 6738, 13522, 267, 713, 786, 581, 606, 4277, 15908, 563, 7712, 2371, 1491, 538, 3327, 8166, 543, 2285, 856, 5135, 799, 649, 13236, 713, 786, 581, 513, 1360, 2635, 3635, 547, 22738, 269, 1473, 3233, 12202, 568, 1360, 5078, 585, 1004, 945, 2661, 538, 1360, 3905, 610, 1360, 4411, 16374, 269, 901, 568, 1317, 596, 666, 1689, 519, 5790, 538, 519, 4055, 1141, 789, 616, 547, 1118, 873, 21707, 563, 2691, 596, 9096, 8939, 519, 2186, 540, 2371, 547, 1332, 267, 1287, 621, 2501, 547, 7446, 519, 8708, 547, 2777, 873, 269, 898, 568, 1434, 538, 8273, 17428, 547, 1450, 585, 2030, 2208, 855, 1507, 3283, 666, 849, 581, 7109, 730, 269, 589, 1507, 835, 666, 581, 17479, 593, 513, 4831, 269, 634, 2462, 835, 666, 581, 5116, 1175, 1985, 547, 519, 7450, 610, 693, 513, 13566, 5544, 538, 519, 7944, 540, 519, 1753, 563, 5475, 11018, 782, 519, 1344, 593, 519, 2371, 543, 7446, 519, 8708, 1287, 596, 786, 723, 547, 6430, 1141, 547, 1747, 873, 269, 1306, 1454, 607, 2009, 267, 1747, 519, 8708, 609, 519, 2030, 2282, 519, 6885, 865, 602, 621, 666, 1569, 519, 6505, 3141, 269, 1703, 616, 930, 2371, 602, 2154, 9940, 7943, 610, 5841, 1769, 269, 1452, 1058, 581, 2322, 538, 513, 811, 21363, 5544, 609, 1970, 1569, 547, 519, 3141, 269, 674, 9430, 547, 798, 713, 786, 1291, 547, 519, 9552, 540, 707, 2371, 563, 5715, 3233, 12202, 666, 849, 13918, 519, 9544, 540, 11922, 269, 1403, 596, 2648, 547, 3434, 1287, 713, 786, 581, 5078, 585, 596, 269, 634, 11922, 786, 2154, 827, 2185, 547, 3670, 3108, 540, 7943, 1142, 1554, 13745, 609, 513, 10690, 3362, 27071, 3037, 269, 1358, 786, 1039, 513, 2603, 540, 24996, 547, 707, 6980, 269, 898, 1058, 849, 581, 2009, 585, 1473, 3233, 12202, 547, 581, 2944, 7258, 519, 6228, 540, 10130, 538, 519, 1753, 269, 8564, 1346, 2371, 602, 616, 711, 6757, 547, 10130, 865, 602, 789, 666, 2661, 1927, 269, 10925, 16760, 15798, 17850, 338, 610, 25798, 7725, 593, 1283, 540, 11934, 952, 707, 10130, 899, 547, 3251, 538, 519, 3037, 13897, 563, 2710, 607, 1454, 1382, 593, 519, 4950, 607, 2009, 1354, 4358, 707, 4677, 16280, 269, 0, 293, 9200, 23726, 10814, 19132, 1344, 607, 1769, 267, 1818, 621, 1454, 5488, 607, 1134, 607, 811, 2312, 982, 7601, 27871, 269, 898, 11338, 19299, 513, 2603, 2362, 19961, 2702, 936, 3476, 9832, 269, 3643, 713, 3135, 1318, 1934, 454, 763, 538, 20129, 1379, 5365, 568, 1101, 10736, 547, 26149, 693, 519, 31092, 1439, 267, 1210, 513, 3926, 1572, 606, 900, 7867, 269, 2201, 519, 18579, 1439, 267, 713, 8654, 568, 4957, 1394, 547, 606, 3167, 1129, 676, 513, 18785, 269, 1934, 454, 763, 9744, 540, 513, 6775, 23726, 10814, 267, 30409, 519, 3119, 267, 2535, 919, 538, 513, 3119, 2816, 538, 875, 3648, 3308, 6786, 666, 1491, 513, 7552, 269, 17266, 2173, 1712, 11103, 4865, 513, 1454, 4130, 4295, 543, 5512, 519, 1769, 547, 1246, 1175, 835, 13374, 799, 14998, 519, 1129, 547, 2951, 1256, 20991, 1354, 621, 3340, 547, 581, 25579, 1639, 563, 291, 13424, 1242, 4143, 1344, 568, 2965, 27573, 5196, 1769, 20512, 602, 616, 2965, 5645, 1524, 519, 4837, 6775, 693, 29702, 2673, 547, 519, 6991, 540, 26149, 269, 4495, 519, 20512, 3914, 741, 1747, 267, 789, 616, 2965, 1232, 10757, 547, 513, 4605, 267, 8301, 610, 1256, 2813, 9623, 563, 11372, 574, 1712, 6775, 14998, 1585, 10070, 540, 1769, 12345, 267, 20335, 538, 5905, 609, 12331, 267, 547, 1491, 1114, 9897, 676, 1797, 540, 519, 10260, 269, 901, 28901, 519, 1808, 6712, 540, 513, 3059, 11733, 547, 12446, 693, 741, 18353, 693, 513, 2370, 1114, 3255, 267, 10451, 513, 31495, 13133, 566, 13093, 539, 1110, 531, 29371, 563, 18893, 673, 6775, 11863, 513, 2603, 513, 2603, 5488, 267, 20501, 267, 607, 1134, 607, 3476, 26591, 5872, 543, 5365, 8852, 982, 2757, 7601, 5911, 269, 1358, 616, 2965, 11338, 1454, 811, 1202, 639, 1061, 1043, 547, 8733, 2609, 267, 899, 6632, 1145, 543, 849, 6850, 2173, 8568, 25518, 563, 3080, 4241, 3498, 540, 6775, 19945, 6776, 2029, 568, 17271, 10917, 15392, 269, 901, 3322, 8220, 513, 2757, 2837, 9300, 547, 606, 5122, 10814, 740, 22363, 609, 513, 6775, 19945, 6776, 9300, 602, 7140, 519, 15392, 1770, 6364, 1318, 883, 7648, 538, 1769, 2059, 519, 10814, 8613, 563, 297, 1783, 3096, 713, 2511, 540, 5868, 547, 2638, 585, 519, 15287, 540, 3282, 610, 1256, 1585, 824, 13818, 7135, 14015, 269, 1879, 513, 11523, 568, 2965, 1336, 267, 519, 1062, 5612, 695, 7491, 1524, 519, 1134, 543, 20205, 606, 1344, 547, 4600, 5171, 269, 901, 18788, 519, 13766, 585, 4600, 547, 13948, 2638, 856, 1134, 21650, 267, 513, 3454, 532, 543, 22247, 5650, 563, 18893, 673, 6775, 616, 2965, 8246, 547, 3560, 2792, 10832, 538, 513, 3099, 540, 5574, 267, 971, 607, 1158, 2647, 1357, 543, 10814, 8613, 269, 1358, 616, 2965, 10123, 1031, 538, 1454, 811, 693, 16151, 4694, 12742, 267, 971, 607, 896, 22855, 10814, 751, 4582, 2888, 563, 18893, 673, 11103, 616, 7768, 540, 22204, 540, 4837, 602, 32694, 1769, 18819, 269, 634, 4099, 607, 1134, 607, 8720, 723, 1585, 31659, 17523, 267, 799, 4827, 525, 538, 20129, 8654, 693, 513, 1978, 1793, 656, 269, 901, 2636, 519, 5365, 547, 3460, 1279, 688, 6160, 1510, 513, 1713, 2530, 538, 1648, 563, 763, 12588, 547, 4743, 22297, 12381, 538, 10917, 267, 5219, 547, 607, 24797, 8143, 16116, 909, 630, 291, 4811, 1070, 568, 1175, 835, 540, 519, 2101, 3096, 540, 9804, 6775, 269, 901, 1826, 540, 9300, 666, 3605, 513, 24694, 1759, 593, 2656, 11941, 538, 519, 2837, 540, 519, 10260, 610, 1256, 519, 2666, 593, 922, 1378, 269, 901, 5868, 5650, 568, 2965, 4357, 540, 1379, 543, 849, 1281, 711, 1711, 19408, 6453, 19527, 267, 1818, 621, 20244, 1981, 6954, 563, 763, 8720, 543, 4099, 1118, 513, 3308, 5951, 7666, 728, 602, 18993, 1080, 519, 1769, 9250, 883, 621, 269, 769, 1931, 547, 798, 713, 267, 519, 5951, 7666, 728, 1058, 581, 2965, 27507, 540, 3544, 2930, 7060, 971, 607, 4160, 543, 20436, 566, 563, 1607, 568, 2965, 1946, 6775, 23726, 15791, 3769, 6292, 540, 3355, 1377, 19736, 281, 3138, 657, 2989, 8546, 543, 7453, 17280, 269, 700, 5366, 10612, 5161, 540, 1585, 2582, 2173, 1712, 8142, 538, 513, 2462, 267, 818, 706, 748, 10612, 16041, 609, 15074, 602, 28863, 519, 6775, 689, 11195 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 938, 6043, 568, 513, 2298, 602, 568, 17216, 1373, 7318, 269, 4438, 10076, 2657, 17607, 10432, 267, 6043, 4249, 606, 1256, 3152, 1909, 538, 5329, 938, 8186, 2635, 267, 2523, 1282, 519, 27579, 563, 1692, 14388, 649, 616, 666, 3313, 875, 1134, 649, 786, 9156, 689, 519, 17149, 2352, 3871, 602, 1272, 6799, 721, 543, 568, 513, 5578, 602, 568, 4483, 571, 1076, 547, 1169, 2460, 540, 938, 2729, 269, 1733, 12241, 1034, 540, 721, 786, 581, 2111, 547, 5431, 513, 14388, 1268, 267, 1018, 568, 621, 602, 2965, 2306, 873, 14388, 888, 4910, 559, 1466, 3884, 1406, 513, 2298, 602, 666, 581, 23564, 593, 543, 1055, 269, 5502, 267, 621, 568, 513, 14820, 267, 585, 799, 707, 19773, 593, 1272, 786, 1404, 513, 5458, 3815, 538, 875, 596, 4431, 547, 1114, 3871, 269, 1733, 12241, 1082, 1367, 7907, 1223, 581, 1767, 547, 3565, 547, 513, 1268, 779, 6043, 267, 972, 616, 1614, 1880, 4162, 602, 723, 1044, 22942, 539, 563, 20058, 267, 6043, 568, 827, 17779, 607, 10353, 547, 27277, 269, 634, 2360, 540, 606, 23904, 19773, 1223, 581, 2808, 3908, 269, 24641, 267, 513, 10853, 19773, 786, 1450, 513, 1268, 547, 581, 1655, 5423, 585, 519, 10782, 2009, 9183, 267, 1818, 873, 811, 2693, 547, 2097, 856, 519, 824, 2427, 796, 2675, 520, 1117, 563, 30772, 267, 513, 14388, 1268, 3217, 942, 547, 20272, 543, 1118, 2631, 540, 519, 6381, 269, 901, 3322, 12561, 519, 1134, 1634, 2856, 602, 8840, 519, 2898, 1524, 883, 811, 2450, 762, 25098, 267, 7551, 1818, 519, 3510, 1447, 18447, 543, 811, 19242, 563, 7661, 568, 519, 2702, 547, 27906, 1047, 609, 8726, 596, 723, 547, 960, 609, 269, 901, 13315, 5876, 267, 519, 2702, 547, 1589, 3544, 519, 4216, 267, 543, 3406, 585, 4244, 3435, 563, 11997, 267, 3384, 6043, 786, 4125, 606, 5571, 1184, 540, 3384, 1582, 18221, 269, 9861, 811, 2616, 656, 540, 707, 4835, 5188, 543, 1620, 1946, 596, 4431, 538, 519, 1259, 596, 798, 786, 1450, 596, 547, 25666, 513, 811, 9266, 3210, 269, 769, 2490, 267, 713, 786, 1118, 596, 1732, 9280, 547, 13720, 1272, 779, 9465, 609, 513, 811, 2318, 543, 12592, 14820, 269, 0, 21093, 2614, 3635, 568, 1271, 585, 3025, 267, 855, 585, 1346, 609, 693, 7434, 27417, 20746, 267, 621, 1223, 1611, 9319, 2038, 9019, 269, 589, 1353, 3370, 538, 519, 3864, 9839, 4750, 814, 1336, 602, 2834, 16608, 2866, 543, 2635, 8516, 2157, 3100, 547, 2149, 1996, 3978, 9025, 2621, 538, 1346, 8995, 609, 693, 7434, 27417, 20746, 563, 10144, 609, 693, 7434, 27417, 20746, 723, 513, 2362, 1072, 1981, 3379, 547, 1346, 1510, 519, 2068, 269, 769, 5562, 2367, 543, 2021, 609, 693, 7434, 27417, 20746, 849, 3622, 5884, 4505, 982, 29680, 1004, 1510, 519, 2783, 269, 1452, 2188, 616, 1018, 3366, 700, 1513, 4432, 22974, 717, 7568, 341, 1731, 543, 1010, 9164, 538, 519, 9315, 13519, 11644, 3194, 6828, 630, 290, 2207, 294, 264, 547, 8495, 875, 2168, 2534, 543, 1434, 8516, 2157, 616, 5532, 547, 2104, 1072, 4220, 585, 2367, 543, 2021, 945, 723, 1044, 8995, 609, 693, 7434, 27417, 20746, 563, 763, 1353, 3769, 476, 272, 267, 14056, 1004, 9907, 476, 3583, 543, 4587, 945, 15548, 538, 519, 2558, 21417, 526, 601, 698, 2657, 5530, 630, 295, 7419, 307, 5530, 264, 1063, 476, 1220, 277, 543, 476, 1220, 279, 269, 2353, 5171, 1185, 1044, 5892, 8995, 609, 693, 7434, 27417, 20746, 269, 2817, 1072, 5638, 941, 1031, 547, 1265, 856, 875, 1082, 5171, 5747, 543, 875, 1082, 941, 12936, 676, 9025, 2068, 538, 519, 1296, 3056, 909, 547, 543, 1519, 476, 1001, 276, 563, 17606, 779, 4502, 15663, 602, 713, 568, 606, 22423, 1353, 267, 865, 519, 2164, 3112, 581, 1031, 547, 3715, 17386, 21465, 3347, 269, 1717, 267, 649, 4076, 6836, 547, 20586, 519, 2078, 1063, 3635, 543, 1072, 1981, 607, 1454, 607, 2009, 676, 14577, 519, 9382, 585, 782, 824, 1634, 3604, 1063, 1004, 945, 3635, 513, 2603, 543, 513, 2370, 2223, 717, 7568, 341, 1731, 3081, 563, 2414, 5173, 519, 8516, 1377, 540, 5171, 267, 3173, 7229, 519, 2783, 540, 693, 7434, 27417, 20746, 1210, 595, 2207, 294, 779, 4922, 1031, 24524, 18185, 269, 898, 729, 1336, 602, 519, 5171, 609, 519, 9803, 7229, 8516, 2157, 1185, 519, 5207, 9019, 1981, 1282, 519, 1246, 5346, 1974, 563, 2108, 2690, 1169, 476, 274, 269, 276, 1448, 2333, 538, 8516, 6060, 267, 519, 1981, 540, 12955, 12628, 676, 476, 1321, 2600, 936, 519, 1985, 5216, 547, 8370, 1296, 269, 769, 519, 2013, 540, 9025, 5829, 7972, 267, 713, 1981, 5786, 729, 476, 1428, 2600, 2223, 717, 7568, 341, 1731, 3081, 563, 2108, 13828, 938, 1382, 543, 824, 1382, 5267, 602, 9363, 538, 3337, 666, 581, 1256, 811, 2629, 547, 1072, 982, 519, 1377, 540, 2168, 2534, 269, 3776, 6090, 3313, 930, 540, 938, 8516, 267, 855, 519, 5318, 5354, 540, 1004, 666, 2087, 593, 741, 5444, 7535, 676, 16706, 5265, 269, 901, 568, 849, 519, 2013, 585, 2043, 609, 693, 7434, 27417, 20746, 2223, 646, 3773, 563, 2005, 729, 1336, 602, 2185, 3275, 540, 2834, 8884, 2866, 666, 2569, 1166, 13616, 3259, 543, 2589, 540, 693, 7434, 27417, 20746, 269, 769, 1840, 267, 3635, 666, 2333, 519, 2298, 540, 1272, 543, 2295, 1599, 563, 294, 7568, 341, 1731, 269, 11943, 267, 968, 2171, 917, 602, 1360, 1164, 2157, 540, 3635, 936, 1082, 1296, 666, 2333, 519, 1981, 540, 3384, 693, 7434, 27417, 20746, 269, 1717, 267, 713, 568, 711, 1945, 1034, 540, 721, 991, 547, 5855, 827, 269, 18320, 2370, 2168, 2534, 568, 513, 1454, 3152, 2014, 540, 693, 7434, 27417, 20746, 538, 519, 2551, 982, 1004, 16706, 1932, 1454, 1848, 0, 1607, 7317, 1357, 14373, 786, 1683, 606, 7650, 540, 11980, 1851, 24139, 267, 14447, 267, 25251, 267, 19574, 543, 15819, 630, 299, 294, 6630, 304, 264, 6107, 543, 519, 1114, 2825, 21500, 602, 3565, 547, 741, 15398, 1981, 585, 11980, 454, 1607, 3381, 2488, 606, 7650, 540, 2853, 543, 2200, 585, 3786, 4926, 1020, 15520, 17841, 2533, 585, 741, 589, 4338, 296, 1053, 563, 19465, 20985, 17716, 1107, 7991, 30793, 2471, 267, 6019, 10076, 2657, 3493, 25902, 267, 543, 10871, 10076, 2657, 3038, 11107, 454, 25748, 5950, 267, 519, 21664, 15484, 18145, 281, 4993, 7991, 30793, 2471, 543, 4993, 6019, 19884, 543, 10076, 2657, 3493, 25902, 568, 585, 10315, 8965, 1072, 543, 2790, 1072, 13623, 543, 2146, 12621, 547, 1020, 4264, 12352, 454, 1607, 476, 275, 12268, 17245, 4670, 267, 4197, 21846, 6520, 15272, 267, 729, 2919, 538, 5698, 609, 4891, 538, 519, 2817, 4132, 3004, 9964, 13262, 8416, 630, 10998, 4811, 301, 264, 543, 1234, 300, 3437, 8606, 916, 269, 901, 4670, 786, 4196, 607, 513, 3730, 4656, 9870, 543, 3872, 4199, 585, 1762, 1004, 267, 1920, 2818, 267, 543, 7426, 269, 16952, 2200, 1644, 547, 713, 4670, 543, 938, 4741, 779, 1857, 4656, 20965, 288, 10916, 543, 2326, 616, 1631, 2139, 585, 31984, 338, 589, 2264, 779, 1034, 2487, 1357, 14373, 267, 968, 25363, 13586, 31984, 24897, 902, 281, 1215, 268, 2414, 6651, 543, 16497, 689, 519, 12197, 2223, 799, 8711, 1451, 902, 689, 19190, 2066, 4993, 269, 634, 1357, 14373, 6227, 281, 18467, 519, 1215, 268, 2414, 6651, 666, 948, 707, 16758, 1847, 4464, 538, 922, 31984, 9584, 3460, 269, 1215, 1896, 2853, 723, 8045, 31984, 9584, 20965, 1607, 3381, 2934, 31929, 19966, 340, 14765, 267, 513, 2883, 5351, 23070, 689, 4993, 3557, 2160, 7043, 16047, 267, 1141, 1352, 8843, 930, 4388, 585, 11038, 22707, 8556, 21116, 4543, 796, 659, 1260, 3966, 1221, 15602, 6107, 6445, 856, 519, 14174, 293, 6347, 563, 1607, 21686, 4580, 7028, 11980, 6604, 4058, 676, 2810, 1857, 1569, 547, 543, 4656, 827, 3466, 538, 7972, 676, 11980, 538, 4993, 563, 1607, 13186, 786, 2253, 676, 17265, 1271, 4798, 602, 8451, 538, 519, 1950, 267, 3309, 2833, 540, 938, 3768, 29545, 1053, 267, 971, 607, 1346, 602, 4308, 609, 3961, 267, 4250, 267, 543, 4947, 856, 269, 634, 8400, 786, 1287, 1847, 593, 547, 2263, 8194, 267, 922, 1764, 593, 1565, 543, 2623, 267, 607, 1134, 607, 4928, 2853, 12200, 666, 9772, 547, 2333, 20965, 7804, 269, 31722, 918, 7776, 786, 1865, 519, 1699, 10006, 538, 14699, 543, 5208, 2509, 519, 589, 4338, 296, 2146, 267, 11776, 267, 934, 738, 584, 894, 2566, 267, 24343, 338, 1222, 267, 543, 8537, 2853, 602, 666, 1489, 519, 2790, 1072, 540, 938, 589, 4338, 296, 1053, 563, 763, 667, 756, 1076, 4659, 814, 2813, 9650, 25198, 3687, 2373, 267, 513, 1007, 267, 1100, 21057, 9650, 25198, 5691, 1907, 585, 946, 609, 1053, 538, 1312, 5691, 543, 538, 16512, 5468, 269, 9650, 25198, 3687, 2373, 1683, 3610, 543, 1463, 3028, 7426, 609, 2110, 3381, 2853, 689, 519, 9650, 25198, 6437, 602, 666, 3362, 581, 3838, 609, 1762, 1004, 269, 3962, 2259, 6799, 513, 31218 ]

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

[ 825, 1820, 19629, 333, 901, 3576, 4939, 338, 7643, 1701, 4939, 630, 5503, 28333, 3890, 268, 1376, 22710, 17903, 825, 1820, 3488, 268, 262, 265, 2412, 3418, 24653, 3698, 3593, 6358, 10734, 1078, 14067, 1846, 29254, 8029, 24541, 825, 1820, 19629, 333, 7529, 4499, 2525, 5327, 21564, 4578, 593, 519, 4493, 540, 1880, 4358, 543, 10678, 10473, 9138, 676, 519, 3593, 4499, 2525, 315, 333, 14744, 825, 1376, 22710, 815, 942, 28333, 14052, 825, 1820, 19629, 333, 2710, 596, 1616, 606, 606, 569, 3974, 585, 519, 8653, 540, 1808, 10473, 286, 1422, 333, 14744, 24541, 825, 3903, 815, 6358, 2891, 11767, 8786, 1422, 3143, 20257, 12294, 14052, 825, 952, 3903, 2652, 1412, 13433, 262, 6769, 1038, 588, 14067, 566, 284, 3403, 2891, 19152, 519, 4358, 6728, 14744, 1038, 1439, 14067, 566, 284, 3403, 2891, 19152, 519, 10678, 6728, 14744, 1038, 1948, 16344, 18146, 1239, 1210, 519, 3403, 1376, 543, 1439, 10473, 1477, 1038, 1007, 32470, 284, 4206, 314, 4206, 9131, 9359, 13749, 11172, 2525, 588, 14067, 566, 15947, 1038, 1007, 32470, 284, 2908, 32470, 314, 4206, 9131, 17484, 13749, 11172, 2525, 1439, 14067, 566, 15947, 1363, 1477, 1038, 3328, 5091, 4851, 284, 5286, 32557, 28956, 32470, 9131, 307, 8692, 30991, 11172, 3418, 1038, 1820, 19629, 333, 763, 3328, 8653, 815, 2580, 320, 2071, 5091, 4851, 476, 3418, 24541, 1038, 3044, 318, 22563, 2747, 815, 5286, 14714, 323, 28956, 32470, 9131, 307, 8692, 30991, 11172, 3418, 1038, 1820, 19629, 333, 763, 3044, 11539, 585, 519, 7552, 8653, 815, 2580, 20598, 318, 22563, 2747, 476, 3418, 24541, 1038, 3193, 5091, 4851, 815, 5286, 27982, 28956, 32470, 9131, 307, 8692, 30991, 11172, 3418, 1038, 1820, 2891, 763, 5021, 15143, 8653, 815, 2580, 10946, 5091, 4851, 476, 3418, 24541, 1038, 7552, 318, 5976, 26174, 318, 706, 9653, 815, 1007, 32470, 314, 2908, 32470, 9131, 307, 8692, 30991, 11172, 2525, 10946, 5091, 4851, 15947, 1038, 1820, 2891, 1492, 7552, 610, 15143, 609, 519, 3193, 8653, 568, 24097, 333, 2580, 339, 8692, 318, 5976, 26174, 318, 706, 9653, 3418, 24541, 1038, 1295, 5091, 4851, 815, 5286, 269, 2381, 28956, 32470, 9131, 307, 8692, 30991, 11172, 3418, 1038, 1820, 2891, 763, 5934, 7552, 8653, 815, 2580, 2381, 5091, 4851, 476, 3418, 24541, 1038, 7552, 318, 5976, 28804, 318, 706, 9653, 815, 1007, 32470, 314, 2908, 32470, 9131, 307, 8692, 30991, 11172, 2525, 2381, 5091, 4851, 15947, 1038, 1820, 2891, 1492, 7552, 610, 15143, 609, 519, 5934, 8653, 568, 24097, 333, 2580, 339, 8692, 318, 5976, 28804, 318, 706, 9653, 3418, 1363, 1477, 1363, 1477, 1038, 1007, 32470, 318, 12528, 284, 2908, 32470, 9131, 29638, 262, 4940, 7407, 18045, 338, 14052, 1038, 2040, 30648, 1417, 284, 271, 269, 271, 1477, 1363, 1477, 1038, 585, 1775, 538, 2039, 28956, 32470, 318, 12528, 17482, 314, 271, 316, 8029, 2018, 6544, 815, 1007, 32470, 318, 12528, 5157, 316, 270, 2908, 32470, 17482, 314, 271, 316, 21506, 2018, 2040, 30648, 1417, 6834, 6544, 1477, 2018, 1820, 2891, 10831, 540, 3755, 540, 1826, 281, 15079, 815, 15079, 609, 15079, 2600, 540, 519, 2698, 1297, 540, 3755, 540, 713, 10473, 2668, 8971, 28956, 32470, 318, 12528, 28827, 5157, 3910, 2908, 32470, 318, 12528, 5157, 3910, 704, 576, 17903, 1363, 1477, 1038, 2040, 30648, 1417, 333, 815, 476, 272, 1606, 636, 30648, 1417, 1477, 1038, 952, 476, 2040, 30648, 1417, 3436, 271, 269, 271, 2433, 1477, 2018, 1820, 19629, 333, 763, 6967, 3755, 616, 540, 32148, 7392, 543, 609, 2600, 284, 14307, 2040, 30648, 1417, 333, 3418, 24541, 825, 1820, 19629, 333, 901, 3576, 4939, 338, 7643, 1701, 4939, 630, 5503, 28333, 3890, 268, 1376, 22710, 17903, 825, 1820, 3488, 268, 262, 265, 2412, 3418, 672, 5897, 3698, 1292, 28399, 825, 1247, 6936, 6769, 1038, 1247, 6936, 6769, 2018, 2749, 267, 24629, 267, 1485, 815, 1205, 6958, 559, 1562, 14052, 2018, 17093, 815, 4452, 12774, 6262, 640, 267, 24629, 267, 1485, 3418, 2018, 942, 14067, 1846, 29254, 3418, 2018, 6728, 14067, 1846, 29254, 3418, 2018, 7552, 5091, 4851, 14067, 1846, 29254, 3418, 2018, 3593, 14067, 1846, 29254, 3418, 2018, 3593, 6358, 10734, 1078, 14067, 1846, 29254, 3418, 2018, 1964, 691, 815, 3403, 28361, 333, 25898, 596, 899, 547, 1964, 691, 286, 9373, 9811, 610, 1100, 26142, 333, 20298, 2018, 952, 1964, 691, 31573, 3890, 11203, 1412, 13433, 262, 6769, 3546, 2736, 24653, 604, 6449, 4067, 1029, 2525, 257, 1029, 10852, 1029, 257, 6769, 825, 1292, 14052, 0, 258, 3240, 14067, 1846, 815, 2715, 257, 4067, 9899, 834, 335, 6222, 807, 2580, 834, 720, 9899, 476, 1789, 267, 834, 19417, 9899, 476, 276, 269, 279, 8679, 28744, 834, 260, 338, 568, 4939, 328, 1296, 2025, 609, 513, 4463, 540, 4939, 269, 273, 325, 1701, 4939, 263, 3240, 14067, 1846, 14277, 4067, 257, 3910, 1250, 14067, 1846, 14277, 720, 257, 3910, 1250, 14067, 1846, 14277, 19417, 19312, 2020, 258, 23437, 30044, 14067, 1846, 14277, 720, 257, 7481, 28744, 1250, 14067, 1846, 692, 258, 22106, 5879, 318, 6919, 815, 2715, 257, 15615, 9899, 834, 20657, 2711, 1297, 2580, 834, 11415, 9899, 834, 1415, 2251, 1063, 1612, 656, 12330, 2580, 834, 15759, 518, 9899, 834, 1415, 2898, 1297, 2580, 834, 2692, 18978, 9899, 834, 12148, 610, 8771, 257, 10926, 258, 1250, 12173, 815, 834, 335, 6222, 807, 4840, 258, 4484, 18045, 815, 2715, 10926, 258, 585, 4484, 538, 1250, 12173, 912, 258, 476, 14851, 4484, 538, 4484, 18045, 912, 258, 476, 453, 453, 12072, 18045, 314, 12072, 316, 6834, 476, 272, 454, 258, 476, 28432, 912, 258, 476, 453, 453, 12072, 18045, 314, 12072, 316, 815, 476, 272, 692, 258, 1820, 4484, 18045, 692, 12803, 8548, 10185, 815, 1930, 2891, 821, 6958, 880, 4671, 6851, 6958, 880, 17902, 20257, 1348, 4590, 12072, 18045, 815, 2715, 10926, 1721, 4484, 538, 3758, 8548, 10185, 912, 14851, 4484, 538, 4484, 18045, 912, 453, 453, 12072, 18045, 314, 12072, 316, 6834, 476, 272, 454, 28432, 912, 453, 453, 12072, 18045, 314, 12072, 316, 815, 476, 272, 692, 2745, 4484, 18045, 692, 258, 1250, 12173, 815, 834, 821, 3165, 1079, 3165, 2699, 3165, 4544, 3165, 4840, 258, 4484, 18045, 815, 2715, 10926, 258, 585, 4484, 538, 1250, 12173, 912, 258, 476, 14851, 4484, 538, 4484, 18045, 912, 258, 476, 453, 453, 12072, 18045, 314, 12072, 316, 6834, 476, 272, 454, 258, 476, 28432, 912, 258, 476, 453, 453, 12072, 18045, 314, 12072, 316, 815, 476, 272, 692, 258, 1820, 4484, 18045, 692, 258, 5777, 815, 15079, 7531, 258, 1250, 6958, 8816, 815, 2715, 257, 3316, 3570, 9899, 476, 275, 267, 834, 1952, 956, 9899, 476, 273, 267, 834, 528, 1052, 9899, 476, 272, 269, 276, 267, 834, 701, 541, 9899, 476, 274, 348, 3097, 258, 3193, 815, 476, 271, 454, 258, 3193, 318, 4486, 815, 834, 4840, 258, 585, 1883, 267, 1871, 538, 1250, 6958, 8816, 29096, 10031, 258, 672, 952, 8528, 258, 1820, 3193, 318, 4486, 692, 0, 258, 29807, 518, 513, 281, 21642, 9847, 27883, 320, 267, 21642, 13580, 798, 557, 513, 552, 262, 796, 10326, 692, 3698, 1267, 17635, 2187, 825, 5727, 11773, 1510, 10438, 519, 3403, 454, 825, 1267, 281, 513, 9847, 29807, 518, 513, 454, 825, 8173, 825, 2132, 25754, 538, 335, 281, 27883, 341, 267, 538, 335, 264, 6540, 14706, 815, 25754, 538, 335, 281, 11713, 12163, 29490, 14543, 454, 14706, 281, 29807, 518, 513, 454, 20701, 14403, 815, 25754, 538, 335, 281, 32582, 26444, 11434, 952, 538, 335, 2652, 32582, 610, 538, 335, 2652, 834, 257, 315, 454, 11434, 3116, 27883, 514, 335, 314, 271, 3910, 538, 335, 314, 272, 281, 8079, 2639, 18851, 306, 22066, 8532, 513, 1347, 454, 14403, 281, 29807, 518, 4077, 454, 20701, 3698, 12622, 9638, 2187, 825, 5727, 321, 785, 16163, 532, 22562, 825, 14803, 3701, 912, 825, 910, 2387, 335, 29699, 29807, 518, 513, 454, 825, 8173, 825, 2132, 25754, 535, 24097, 454, 19930, 25754, 538, 335, 24097, 454, 19930, 2569, 10857, 10033, 561, 267, 331, 337, 281, 561, 266, 331, 337, 267, 26444, 4449, 476, 1496, 325, 17635, 7565, 514, 335, 272, 264, 585, 630, 341, 267, 514, 335, 272, 264, 538, 533, 263, 514, 335, 264, 3910, 315, 454, 4449, 476, 1496, 20285, 572, 336, 815, 25754, 533, 24097, 454, 8587, 25754, 7117, 24097, 454, 8587, 12622, 9638, 7565, 14433, 1535, 24097, 454, 8587, 12622, 32429, 7565, 14433, 586, 24097, 454, 23526, 1267, 3287, 20742, 994, 8587, 3738, 2020, 338, 520, 815, 25754, 533, 24097, 454, 8587, 12622, 263, 14403, 7565, 14433, 1535, 24097, 454, 8587, 1267, 3287, 264, 952, 533, 3287, 264, 3116, 4642, 454, 8587, 25589, 529, 318, 10420, 815, 25754, 1535, 24097, 454, 1038, 2893, 10857, 10033, 586, 281, 343, 2525, 344, 2020, 529, 20311, 815, 2893, 10857, 10033, 586, 281, 262, 271, 262, 27045, 344, 543, 586, 283, 8782, 280, 5073, 12072, 815, 2893, 10857, 10033, 586, 281, 262, 320, 262, 27045, 344, 543, 586, 283, 8782, 345, 17210, 15200, 815, 25754, 533, 24097, 454, 11434, 25754, 7117, 24097, 454, 11434, 25754, 538, 335, 24097, 454, 11434, 533, 263, 514, 335, 264, 1341, 7117, 263, 514, 335, 9239, 5320, 815, 7132, 31114, 2891, 257, 4297, 18692, 825, 12622, 263, 12072, 7565, 14433, 1535, 24097, 454, 825, 12622, 27182, 7565, 14433, 1535, 338, 24097, 454, 1038, 1267, 3287, 21147, 338, 994, 825, 3738, 11723, 2745, 1267, 2891, 322, 8442, 2891, 25556, 334, 15419, 2745, 4642, 2891, 25556, 334, 15419, 2745, 6221, 2891, 25556, 334, 15419, 2745, 12622, 263, 14403, 7565, 454, 825, 25754, 1535, 24097, 454, 825, 1267, 3287, 994, 825, 3738, 2891, 25556, 334, 15419, 337, 284, 321, 785, 263, 14403, 7565, 14433, 1535, 24097, 454, 476, 12622, 263, 14403, 7565, 14433, 586, 24097, 454, 476, 12622, 263, 14403, 7565, 14433, 1990, 24097, 454, 17264, 1267, 9230, 343, 267, 345, 11971, 4917, 476, 3738, 11723, 2745, 678, 2891, 25556, 334, 5602, 2745, 694, 336, 263, 14403, 7565, 14403, 264, 2891, 25556, 334, 5602, 2745, 694, 336, 263, 529, 318, 10420, 2891, 343, 257, 4297, 263, 14403, 264, 2891, 25556, 334, 5602, 2745, 694, 336, 263, 529, 318, 10420, 2891, 322, 257, 4297, 263, 14403, 264, 2891, 25556, 334, 5602, 2745, 694, 336, 263, 529, 20311, 7565, 529, 318, 10420, 2891, 328, 257, 4297, 2891, 25556, 334, 5602, 2745, 694, 336, 263, 529, 20311, 7565, 529, 318, 10420, 2891, 328, 257, 4297, 2891, 272, 26820, 5602, 2745, 694, 336, 263, 529, 20311, 7565, 529, 318, 10420, 2891, 322, 257, 4297, 2891, 272, 26820, 15419, 322, 318, 528, 19571, 815, 7132, 263, 529, 20311, 7565, 529, 318, 10420, 2891, 322, 27363, 322, 318, 528, 6831, 815, 7132, 263, 529, 318, 10420, 2891, 322, 257, 4297, 263, 529, 318, 10420, 2891, 322, 27363, 2745, 524, 318, 528, 19571, 2891, 272, 26820, 5602, 2745, 524, 318, 528, 6831, 2891, 25556, 334, 15419, 2745, 2262, 2891, 7666, 534, 857, 334, 2215, 334, 5602, 2745, 2262, 2891, 7666, 534, 857, 334, 257, 9239, 3430, 337, 815, 12622, 263, 14403, 7565, 14433, 630, 324, 1203, 267, 2012, 267, 1871, 2567, 315, 454, 1038, 1267, 2891, 260, 338, 284, 260, 338, 257, 4939, 630, 4067, 267, 1871, 4297, 952, 2680, 2652, 257, 3430, 337, 257, 3116, 454, 1038, 4642, 454, 8587, 12467, 258, 1605, 332, 815, 12622, 263, 14403, 7565, 14433, 630, 324, 1203, 267, 2012, 267, 1871, 2567, 315, 454, 258, 1363, 1267, 2891, 260, 338, 284, 260, 338, 257, 4939, 630, 4067, 267, 1871, 4297, 952, 2680, 2652, 257, 3430, 337, 257, 3116, 454, 258, 1363, 4642, 454, 258, 11434, 25589, 258, 6908, 815, 1496, 454, 258, 672, 9497, 3430, 337, 2580, 834, 4067, 2580, 834, 320, 257, 13211, 258, 672, 9497, 3430, 337, 2580, 834, 4067, 2580, 834, 321, 257, 13211, 258, 672, 9497, 324, 2211, 2580, 834, 17367, 2580, 834, 257, 13211, 258, 672, 9497, 3430, 337, 2580, 834, 4067, 2580, 834, 322, 257, 13211, 258, 672, 9497, 3430, 337, 2580, 834, 4067, 2580, 834, 323, 5602, 258, 672, 23378, 258, 6908, 272, 815, 1496, 454, 258, 672, 9497, 324, 2211, 2580, 834, 17367, 2580, 834, 257, 13211, 258, 672, 9497, 3430, 337, 2580, 834, 4067, 2580, 834, 320, 257, 13211, 258, 672, 9497, 3430, 337, 2580, 834, 4067, 2580, 834, 321, 257, 13211, 258, 672, 9497, 324, 2211, 2580, 834, 17367, 2580, 834, 257, 13211, 258, 672, 9497, 3430, 337, 2580, 834, 4067, 2580, 834, 322, 257, 13211, 258, 672, 9497, 3430, 337, 2580, 834, 4067, 2580, 834, 323, 5602, 258, 672, 23378, 258, 1820, 694, 336, 263, 3430, 337, 7565, 3430, 337, 7565, 6894, 994 ]

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

[ 8037, 6388, 2501, 538, 519, 1106, 540, 834, 637, 559, 1304, 9263, 3562, 24406, 518, 6772, 904, 2437, 5189, 676, 9149, 1696, 620, 269, 630, 1001, 277, 1040, 1452, 18228, 3889, 8415, 2706, 574, 12723, 25327, 547, 15814, 2200, 2066, 3875, 9905, 269, 1879, 5185, 609, 6843, 14286, 267, 519, 6772, 599, 3082, 338, 29858, 267, 5009, 1007, 3401, 945, 8263, 5539, 585, 5883, 4299, 4525, 269, 9182, 267, 519, 3003, 1062, 15387, 922, 29782, 1256, 9624, 21463, 267, 7551, 18220, 532, 519, 9759, 540, 1582, 13463, 2718, 780, 1103, 3932, 267, 1582, 13463, 2718, 1949, 2099, 606, 3078, 20281, 538, 7856, 7384, 267, 12082, 538, 3741, 6508, 689, 25852, 543, 2584, 9582, 269, 4498, 1145, 532, 519, 1379, 540, 1875, 1673, 858, 24219, 6329, 6087, 8030, 547, 1711, 811, 6325, 543, 3608, 5121, 5827, 540, 8238, 558, 3585, 28472, 14796, 543, 19620, 6099, 2773, 2157, 269, 1306, 2029, 5170, 14027, 693, 2736, 928, 1188, 11250, 267, 3695, 3209, 2081, 547, 6451, 6667, 6537, 689, 3309, 4610, 14767, 547, 12260, 13778, 7399, 585, 5647, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 20376, 269, 8838, 923, 543, 7353, 9582, 454, 24127, 476, 280, 910, 476, 1708, 272, 1923, 4179, 2517, 8742, 3820, 270, 1015, 269, 24783, 280, 11721, 19148, 269, 1708, 272, 269, 277, 7176, 29340, 454, 15239, 5937, 858, 24219, 8752, 23027, 281, 26386, 543, 4437, 32441, 10241, 454, 268, 476, 272, 9743, 3482, 585, 25927, 1049, 11020, 3194, 267, 29258, 6481, 3427, 267, 674, 644, 534, 2160, 267, 29258, 267, 3624, 454, 268, 476, 273, 23430, 540, 15379, 543, 18329, 7177, 267, 2160, 540, 15173, 15158, 267, 623, 758, 995, 600, 267, 15173, 15158, 267, 590, 2752, 3624, 454, 268, 476, 274, 28723, 4437, 32441, 19639, 7695, 10418, 267, 15173, 15158, 3163, 5244, 267, 590, 1002, 514, 267, 15173, 15158, 267, 590, 2752, 3624, 454, 763, 1769, 18640, 538, 519, 5420, 7363, 2833, 32250, 267, 24980, 267, 543, 22502, 269, 24356, 519, 1769, 18640, 568, 513, 2540, 6040, 1966, 607, 519, 22726, 949, 22887, 10663, 543, 32603, 269, 1284, 1376, 689, 519, 4909, 2035, 540, 519, 1875, 1673, 858, 24219, 20832, 267, 543, 1806, 540, 519, 1875, 1673, 858, 24219, 20832, 1331, 855, 616, 711, 3908, 547, 519, 29817, 1088, 11237, 267, 5794, 344, 11237, 267, 543, 4569, 24586, 11237, 269, 3973, 267, 649, 1865, 519, 24118, 3156, 540, 519, 1875, 1673, 858, 24219, 20832, 267, 2519, 593, 5276, 543, 22357, 9196, 267, 552, 3052, 1421, 1769, 1606, 18694, 16682, 322, 523, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 20236, 268, 3891, 2718, 7010, 257, 607, 851, 540, 834, 28035, 1315, 20518, 3176, 7010, 1315, 4937, 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, 4495, 2390, 513, 942, 538, 519, 1507, 9381, 4884, 540, 570, 11893, 268, 6807, 267, 5030, 1079, 1655, 2828, 3957, 27385, 519, 1530, 698, 1638, 543, 8891, 5674, 519, 623, 4428, 518, 8127, 269, 1358, 6068, 3695, 519, 5836, 2282, 741, 1753, 543, 1565, 782, 827, 922, 13300, 269, 2290, 1554, 789, 4956, 547, 1376, 513, 1870, 1927, 910, 3246, 32420, 19997, 547, 782, 519, 3165, 538, 519, 5836, 2439, 306, 20632, 1185, 4121, 689, 1010, 3659, 267, 3220, 269, 667, 800, 519, 667, 20462, 514, 267, 602, 32420, 729, 14095, 2407, 540, 5567, 899, 8324, 543, 6886, 799, 1223, 948, 824, 3165, 3251, 2635, 269, 1924, 267, 646, 543, 8891, 5674, 1305, 856, 10655, 32420, 1282, 1970, 20352, 267, 7738, 621, 5402, 267, 543, 11544, 621, 883, 17705, 25235, 269, 6478, 3262, 3728, 1851, 7874, 3165, 827, 875, 8949, 543, 6225, 891, 32420, 6980, 941, 585, 741, 1072, 269, 6969, 1279, 267, 27385, 543, 8891, 5674, 781, 2370, 1796, 2968, 3833, 2442, 1472, 570, 11893, 268, 6807, 2439, 3080, 13566, 6640, 267, 1247, 8600, 811, 25235, 267, 789, 9289, 952, 789, 1223, 4228, 741, 1870, 3544, 540, 570, 11893, 268, 6807, 269, 12344, 1256, 1831, 4583, 2429, 519, 3003, 14015, 1158, 256, 19196, 1243, 676, 713, 2856, 267, 789, 4280, 8797, 2025, 595, 4599, 2421, 14161, 585, 5796, 269, 1261, 5143, 873, 602, 9750, 1131, 2154, 1697, 4058, 543, 1620, 519, 2115, 540, 1114, 2950, 269, 834, 9617, 1317, 1945, 1568, 1134, 1934, 2437, 1767, 595, 4599, 2421, 14161, 267, 834, 323, 3996, 333, 1405, 1611, 621, 786, 960, 10876, 3010, 2414, 1449, 713, 3069, 267, 938, 9432, 2358, 5918, 334, 5887, 3293, 2417, 982, 2479, 1354, 269, 1306, 789, 1558, 1007, 2249, 267, 789, 7691, 1142, 1858, 1185, 2189, 16919, 543, 4170, 1759, 593, 2188, 971, 607, 1216, 2837, 543, 1699, 4287, 269, 1677, 5963, 8011, 2066, 1585, 4525, 267, 789, 2877, 547, 20688, 741, 1587, 9935, 269, 901, 20185, 4547, 1312, 2591, 543, 3255, 1107, 15268, 5921, 10115, 811, 4674, 267, 855, 849, 8118, 9885, 547, 4196, 1082, 811, 13854, 5561, 780, 1103, 519, 1439, 267, 1498, 267, 5103, 741, 2182, 960, 543, 11428, 267, 27385, 543, 8891, 5674, 4362, 602, 5883, 4238, 865, 2484, 6306, 9863, 1932, 2352, 269, 4256, 11505, 3323, 7092, 1813, 547, 3586, 22195, 936, 3664, 1644, 547, 5820, 267, 14499, 267, 543, 6725, 2994, 269, 2060, 5230, 12271, 267, 789, 8120, 547, 741, 18803, 2943, 14762, 32420, 19997, 588, 718, 1394, 538, 570, 11893, 268, 6807, 269, 9282, 25922, 267, 789, 6956, 602, 1169, 4161, 11414, 721, 3407, 4245, 269, 6884, 649, 1451, 1018, 1281, 960, 282, 3006, 649, 1265, 856, 1018, 3085, 1405, 11652, 1346, 2833, 3337, 721, 883, 1732, 3744, 267, 17701, 267, 543, 2828, 269, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 29205, 596, 1683, 1808, 1806, 540, 3811, 4213, 610, 11639, 5665, 538, 18578, 745, 330, 888, 2026, 606, 3642, 1893, 2203, 267, 594, 798, 711, 723, 1569, 547, 909, 3562, 15082, 1344, 593, 4213, 538, 18578, 745, 330, 269, 1717, 267, 607, 829, 2139, 1344, 267, 18578, 745, 330, 568, 513, 1507, 2823, 2749, 5097, 5059, 593, 10068, 543, 6683, 269, 898, 1522, 723, 2199, 4213, 7674, 519, 2199, 2551, 267, 855, 972, 616, 1100, 1713, 4213, 610, 11639, 538, 18578, 745, 330, 602, 616, 1634, 5001, 14325, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 563, 268, 16992, 543, 5188, 281, 1711, 12300, 3197, 945, 4497, 538, 6209, 7391, 267, 4543, 547, 2491, 543, 2263, 519, 2257, 2035, 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, 269, 0, 6092, 5149, 281, 717, 800, 324, 334, 14418, 3203, 692, 763, 717, 800, 324, 334, 15913, 630, 280, 1240, 268, 16928, 273, 1070, 1419, 5219, 547, 607, 9705, 781, 11344, 2085, 267, 729, 6825, 676, 1713, 2686, 10781, 267, 3226, 538, 519, 2361, 540, 14418, 1148, 269, 634, 19121, 720, 540, 13221, 1282, 713, 5736, 8507, 538, 513, 3638, 7499, 9371, 602, 5170, 547, 3310, 4207, 11114, 2528, 543, 3564, 269, 901, 1576, 1770, 12538, 883, 519, 14960, 540, 717, 800, 324, 334, 14418, 1148, 267, 922, 3140, 2796, 267, 30031, 4720, 267, 543, 11972, 4644, 780, 23208, 12745, 281, 13221, 8452, 538, 9705, 1282, 519, 8422, 3751, 20819, 11270, 630, 6872, 14514, 910, 476, 5780, 279, 9460, 264, 3842, 519, 28010, 10003, 4123, 11507, 269, 4706, 10752, 941, 7620, 17947, 676, 519, 15194, 31794, 267, 945, 4718, 621, 607, 513, 1797, 540, 19597, 908, 1379, 998, 5289, 26117, 269, 1635, 519, 4417, 540, 519, 717, 800, 324, 334, 15913, 267, 13221, 1185, 1831, 7184, 3824, 11712, 1369, 11114, 2486, 267, 12018, 1169, 2460, 540, 1272, 267, 1519, 6214, 267, 6138, 267, 4915, 267, 2069, 267, 543, 6575, 269, 7201, 10424, 13384, 11208, 267, 14418, 17633, 25577, 267, 4742, 7740, 540, 1565, 543, 32387, 540, 3860, 3977, 780, 289, 3291, 7290, 27748, 2762, 281, 589, 1883, 4183, 540, 717, 800, 324, 334, 14418, 1148, 568, 922, 15984, 547, 2757, 12835, 4919, 14908, 1247, 8195, 6220, 6805, 15312, 269, 5871, 18305, 3769, 18477, 7919, 267, 13938, 20130, 3430, 11663, 267, 818, 1002, 338, 267, 543, 27369, 24587, 269, 1452, 5515, 22993, 1808, 21644, 543, 10305, 267, 7674, 1312, 1705, 12519, 543, 1821, 10899, 5301, 269, 1358, 941, 23939, 18705, 1210, 3309, 23447, 971, 607, 19730, 267, 6149, 267, 3574, 267, 543, 23907, 267, 10452, 9952, 1148, 529, 15201, 543, 2620, 27527, 2509, 3909, 16431, 780, 290, 601, 611, 517, 595, 10984, 923, 281, 2290, 8037, 9295, 540, 519, 717, 800, 324, 334, 19092, 6013, 538, 519, 1646, 540, 13767, 611, 517, 23907, 267, 6353, 676, 741, 795, 1228, 3039, 1350, 10270, 543, 17715, 6272, 269, 10705, 30996, 1639, 609, 2603, 639, 5810, 267, 12166, 3270, 267, 543, 513, 22273, 5534, 6698, 267, 891, 4773, 7152, 11108, 2930, 17117, 543, 12716, 2283, 4850, 269, 1306, 1055, 1068, 1559, 610, 1187, 518, 776, 3615, 267, 789, 25967, 1819, 519, 1623, 25027, 2078, 1063, 4984, 543, 1148, 1282, 519, 717, 800, 324, 334, 5736, 780, 294, 2830, 1532, 1258, 2763, 6465, 4231, 281, 6271, 10747, 8984, 540, 717, 800, 324, 334, 14418, 1148, 568, 575, 2830, 1532, 1258, 2763, 2493, 4231, 267, 30833, 676, 519, 26832, 966, 2967, 10635, 3570, 17700, 18533, 693, 17240, 7666, 802, 320, 13527, 269, 30557, 5176, 4557, 7397, 7381, 267, 713, 575, 843, 539, 4137, 13423, 558, 3278, 519, 6264, 16725, 543, 30483, 6913, 1282, 519, 717, 800, 324, 334, 1974, 269, 3414, 5730, 12669, 17790, 2553, 543, 1928, 560, 1136, 23477, 267, 5159, 2813, 3076, 601, 833, 3029, 28093, 4240, 609, 10143, 2234, 4800, 267, 859, 3183, 9006, 3130, 543, 31658, 1851, 13588, 780, 9209, 2065, 26505, 1299, 11627, 725, 281, 10801, 519, 717, 800, 324, 334, 5736, 267, 7499, 6163, 7960, 3648, 267, 8272, 337, 1681, 6626, 1914, 19205, 14759, 269, 7216, 5712, 14754, 7347, 4453, 1116, 11269, 6766, 676, 4457, 19358, 543, 14576, 667, 2106, 770, 625, 269, 1717, 267, 7766, 11775, 1200, 531, 4765, 811, 7493, 267, 8766, 626, 21274, 267, 10771, 5289, 16982, 936, 2168, 1106, 269, 3958, 267, 10124, 899, 1651, 2213, 896, 6921, 10270, 23732, 543, 536, 684, 3832, 784, 16292, 7153, 267, 15386, 519, 3846, 1143, 543, 13916, 7915, 538, 717, 800, 324, 334, 14418, 1148, 780, 15430, 3569, 1299, 22684, 281, 3204, 21884, 2406, 267, 1454, 540, 519, 3312, 24402, 540, 717, 800, 324, 334, 14418, 1148, 814, 13151, 3518, 539, 547, 519, 30635, 1137, 540, 942, 267, 13137, 267, 543, 10714, 269, 11048, 267, 24790, 6414, 267, 1140, 20535, 547, 519, 7415, 5876, 543, 14039, 1214, 540, 519, 22184, 269, 12634, 25954, 5322, 3343, 547, 556, 11779, 548, 1719, 538, 713, 6561, 267, 5807, 11348, 267, 7071, 267, 543, 15364, 269, 5015, 267, 3486, 6284, 267, 971, 607, 20648, 2622, 11595, 1374, 725, 1655, 15735, 2390, 10089, 7666, 802, 320, 13527, 543, 1530, 758, 7666, 1090, 717, 8527, 1729, 267, 14751, 519, 2518, 10083, 543, 15851, 9029, 540, 717, 800, 324, 334, 14418, 1148, 780, 1103, 3932, 267, 717, 800, 324, 334, 14418, 1148, 4564, 513, 2629, 3184, 538, 9705, 781, 2686, 18330, 269, 898, 20206, 12885, 519, 10282, 540, 4914, 7506, 543, 2199, 5389, 267, 27548, 2189, 7215, 540, 5132, 267, 5898, 267, 543, 1702, 269, 4653, 267, 891, 16782, 4196, 711, 8806, 607, 8978, 22514, 580, 525, 855, 7524, 1449, 14613, 547, 8103, 781, 2781, 553, 6804, 1391, 585, 2495, 543, 16637, 775, 269, 24356, 717, 800, 324, 334, 14418, 1148, 3976, 3091, 3407, 4030, 883, 938, 3838, 2250, 543, 11972, 2418, 267, 7175, 721, 547, 6330, 519, 10848, 540, 938, 10562, 1158, 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 ]

[ 593, 10071, 7829, 543, 3210, 563, 22209, 787, 30071, 767, 32018, 281, 2368, 2043, 1376, 538, 7127, 7400, 8668, 610, 14590, 7158, 547, 2744, 4052, 1995, 1354, 3001, 883, 513, 14590, 25566, 1909, 563, 1103, 3179, 4721, 543, 24732, 268, 4002, 18768, 281, 769, 3179, 4721, 267, 2123, 3785, 267, 610, 7589, 538, 14590, 19194, 666, 1683, 3946, 6823, 1995, 543, 6542, 707, 1983, 547, 1761, 12820, 563, 276, 269, 9941, 10341, 912, 22860, 3749, 10341, 281, 634, 2702, 547, 5659, 1950, 1949, 543, 2697, 16426, 563, 31636, 10341, 281, 13229, 2792, 568, 2629, 585, 7713, 3354, 2152, 543, 3435, 547, 1875, 14482, 1013, 673, 8639, 563, 19370, 4149, 6295, 281, 15536, 9798, 19767, 1419, 991, 547, 23676, 2393, 543, 1265, 3435, 3533, 563, 277, 269, 23120, 4804, 912, 11693, 519, 6385, 9687, 2470, 540, 14590, 6937, 267, 513, 7029, 547, 6024, 1565, 568, 1898, 269, 13773, 8242, 593, 519, 5767, 3466, 267, 2645, 267, 543, 2553, 998, 1582, 24713, 344, 267, 19014, 267, 543, 2866, 3292, 563, 8855, 602, 1808, 4170, 666, 4268, 1063, 12820, 267, 865, 621, 779, 19624, 547, 2689, 2816, 2022, 902, 543, 20688, 707, 20340, 9935, 269, 8490, 513, 2178, 3060, 538, 519, 6880, 5498, 2579, 2146, 543, 11543, 4052, 1995, 998, 22631, 4721, 610, 15321, 3255, 666, 849, 3986, 707, 16548, 538, 713, 2361, 269, 0, 1103, 2221, 781, 11015, 649, 4183, 930, 2770, 27918, 543, 10477, 28734, 269, 13689, 593, 741, 946, 28734, 666, 581, 19040, 538, 1896, 2010, 267, 971, 607, 1688, 28734, 267, 8602, 28734, 267, 543, 10051, 28734, 269, 1358, 2097, 538, 513, 3099, 540, 5546, 267, 7306, 543, 4778, 543, 616, 2356, 1500, 856, 540, 12308, 610, 1957, 269, 12262, 12005, 15894, 281, 11545, 808, 12127, 1177, 10658, 26072, 454, 2304, 19887, 2679, 263, 777, 3477, 1950, 267, 6366, 1950, 267, 3625, 540, 1166, 1846, 267, 13486, 3625, 610, 1164, 8573, 1047, 264, 568, 513, 3818, 3613, 800, 2679, 1141, 1614, 610, 811, 4036, 1878, 616, 8659, 1369, 835, 2497, 269, 1323, 19887, 267, 610, 6366, 568, 513, 1582, 8410, 22633, 8027, 1770, 538, 835, 540, 891, 2010, 540, 5656, 269, 769, 2221, 781, 1007, 11015, 649, 4183, 519, 1795, 1228, 540, 606, 19887, 2679, 269, 5620, 1187, 2336, 9359, 2221, 781, 11015, 543, 6443, 721, 585, 513, 16837, 569, 588, 2651, 2059, 513, 23090, 25865, 4565, 9693, 2619, 4988, 609, 519, 7524, 4778, 540, 15468, 3762, 269, 1306, 596, 25500, 2390, 519, 25865, 4565, 16893, 267, 1577, 519, 29511, 540, 15468, 16714, 9944, 707, 3952, 32570, 707, 12823, 547, 519, 13300, 540, 519, 4005, 269, 10925, 519, 4773, 1394, 1927, 543, 6336, 3054, 538, 519, 30811, 7544, 540, 4778, 602, 19799, 519, 13374, 267, 7206, 513, 4605, 540, 2470, 781, 11958, 4800, 1996, 519, 20457, 540, 15454, 6149, 269, 5620, 1187, 2336, 294, 31678, 554, 4680, 616, 4122, 1031, 547, 3560, 1216, 585, 12202, 543, 824, 30120, 5301, 269, 1358, 616, 3335, 1500, 540, 16312, 24231, 10991, 12285, 610, 2571, 5068, 267, 1419, 18674, 609, 606, 4835, 1357, 540, 11103, 269, 5221, 554, 4680, 616, 1419, 1360, 1279, 789, 4043, 547, 1205, 3362, 8126, 1194, 267, 602, 781, 1946, 519, 2356, 18202, 909, 950, 711, 538, 946, 563, 2690, 1034, 540, 1480, 1686, 267, 3595, 6229, 729, 519, 1292, 2707, 540, 4492, 585, 8022, 267, 5986, 543, 824, 2238, 269, 9605, 6229, 568, 513, 7791, 4199, 269, 898, 568, 6740, 25985, 267, 1863, 29280, 588, 2931, 610, 538, 824, 7463, 3889, 269, 853, 1681, 3574, 538, 713, 1259, 2337, 1832, 7509, 2476, 689, 621, 543, 2636, 621, 547, 3819, 5488, 269, 16959, 3574, 20205, 811, 1648, 585, 8022, 982, 3039, 3574, 540, 519, 1482, 2249, 563, 4322, 2186, 540, 10477, 10007, 616, 2356, 513, 4062, 540, 7777, 12627, 269, 13689, 593, 741, 9115, 891, 2186, 540, 10007, 666, 2097, 538, 513, 3099, 540, 4778, 269, 4256, 4778, 616, 6766, 6140, 676, 519, 23606, 789, 2270, 267, 891, 2609, 10110, 1978, 4778, 543, 4734, 519, 824, 4778, 19448, 26327, 910, 4758, 519, 10007, 741, 2681, 269, 1358, 616, 849, 1572, 17576, 18429, 610, 10859, 1790, 3285, 748, 10007, 269, 2368, 540, 873, 666, 581, 1031, 547, 1118, 14446, 610, 824, 19799, 906, 282, 789, 666, 849, 581, 23678, 1386, 610, 20077, 883, 3615, 630, 7945, 607, 11680, 267, 1507, 19562, 1149, 267, 3092, 28593, 9213, 781, 30811, 11015, 19306, 519, 9759, 540, 2470, 538, 519, 2887, 4005, 269, 634, 3239, 12286, 538, 713, 3014, 28420, 513, 3529, 609, 922, 3762, 4957, 883, 513, 32219, 18707, 540, 4154, 543, 5835, 267, 2870, 513, 26672, 573, 4334, 609, 519, 4158, 8371, 269, 634, 3529, 6227, 519, 3003, 11015, 267, 8108, 513, 24588, 540, 5835, 602, 16657, 338, 609, 1769, 269, 1306, 14517, 1169, 6978, 781, 1469, 267, 3337, 267, 543, 9403, 543, 2972, 519, 25695, 543, 21363, 1198, 540, 519, 15489, 16714, 269, 5620, 1187, 2336, 12441, 333, 1405, 1265, 1945, 596, 899, 286, 5213, 1405, 5855, 649, 723, 5215, 540, 824, 2228, 11015, 3756, 2147, 610, 1732, 1287, 834, 31880, 27918, 7822, 995, 19331, 1564, 257, 1547, 0, 23871, 6064, 1852, 568, 4105, 607, 621, 15387, 14302, 543, 3666, 267, 6087, 6198, 5322, 267, 11226, 10688, 543, 32376, 267, 7028, 5580, 18215, 1599, 543, 11479, 2022, 1116, 6547, 269, 898, 568, 2629, 585, 6198, 7115, 543, 2949, 1134, 5630, 563, 763, 2530, 540, 17657, 10688, 1282, 14715, 8710, 666, 1267, 538, 15176, 3666, 267, 4389, 7115, 538, 3232, 2238, 267, 7244, 7965, 267, 7687, 538, 5580, 18215, 1599, 267, 9402, 32376, 267, 1981, 540, 2604, 21399, 267, 12536, 2152, 267, 543, 2942, 26447, 2360, 269, 29407, 568, 1898, 547, 2087, 4093, 538, 971, 2665, 269, 769, 16848, 267, 971, 14317, 568, 3177, 693, 519, 519, 18230, 1453, 781, 14317, 4099, 630, 17206, 5753, 781, 11233, 2098, 584, 747, 267, 18479, 517, 648, 333, 7690, 264, 3246, 1489, 543, 1533, 6361, 7308, 19603, 5574, 547, 1453, 563, 763, 1905, 1235, 917, 689, 741, 4791, 1995, 602, 17657, 1852, 568, 540, 19039, 2865, 2956, 585, 6972, 543, 585, 1210, 519, 7916, 543, 3946, 1282, 1582, 13282, 2238, 267, 552, 3052, 1421, 11067, 267, 25462, 267, 3478, 21039, 269, 11569, 267, 5355, 6972, 2702, 543, 1582, 13282, 616, 519, 1034, 4749, 5018, 3853, 538, 741, 14317, 8998, 269, 6982, 3745, 267, 789, 1223, 5063, 6166, 875, 1271, 17657, 1852, 568, 585, 891, 2238, 269, 4475, 267, 606, 6662, 267, 5730, 267, 543, 15164, 4879, 540, 17657, 1852, 568, 1360, 1271, 547, 2697, 1808, 23043, 267, 547, 1544, 513, 10531, 3797, 1982, 267, 543, 547, 14650, 3356, 540, 3797, 936, 942, 269, 5015, 267, 513, 22488, 267, 30070, 543, 14021, 17657, 1852, 2866, 1223, 3565, 3648, 547, 519, 6198, 9283, 538, 6972, 543, 1582, 13282, 2238, 540, 1082, 1453, 18460, 5778, 516, 4725, 10949, 563, 26872, 2558, 6064, 1852, 568, 4105, 607, 621, 15387, 14302, 543, 3666, 267, 6087, 6198, 5322, 267, 11226, 10688, 543, 32376, 267, 7028, 5580, 18215, 1599, 543, 11479, 2022, 1116, 6547, 19314, 3519, 1356, 940, 3797, 267, 789, 723, 1585, 3209, 4066, 547, 1404, 2685, 5721, 6972, 267, 1688, 543, 6186, 1599, 267, 610, 1850, 4887, 4222, 269, 1717, 267, 972, 616, 15991, 1022, 5010, 1949, 2139, 547, 5721, 17657, 1852, 585, 17328, 8824, 2550, 269, 4475, 267, 789, 723, 2813, 513, 3014, 547, 5721, 17657, 1852, 538, 519, 2250, 543, 789, 946, 713, 3014, 538, 741, 16758, 267, 855, 621, 666, 1152, 581, 5129, 676, 1453, 945, 666, 1694, 10446, 269, 2991, 14021, 1382, 267, 568, 4667, 602, 1100, 4066, 602, 723, 1044, 4481, 2966, 547, 5721, 17657, 1852, 538, 1453, 267, 3226, 1346, 8572, 547, 1694, 10446, 563, 2414, 7753, 713, 3668, 540, 2139, 2126, 267, 789, 723, 3323, 547, 1020, 513, 1970, 21057, 267, 1316, 27809, 476, 274, 291, 5163, 9477, 1062, 2523, 585, 1453, 269, 1358, 786, 946, 513, 476, 274, 291, 8254, 602, 729, 8385, 2919, 585, 1560, 2173, 10056, 1852, 540, 23641, 3756, 269, 901, 8254, 1062, 814, 849, 606, 7471, 1560, 9477, 269, 769, 513, 5063, 11643, 1957, 267, 789, 1223, 1397, 602, 713, 1628, 2987, 9477, 1062, 568, 711, 4977, 2614, 585, 4791, 3156, 538, 1453, 269, 5502, 267, 741, 2780, 11285, 3220, 269, 21208, 15614, 31928, 572, 267, 2919, 741, 1378, 1505, 269, 901, 2203, 1939, 525, 513, 968, 338, 651, 13987, 892, 609, 10549, 856, 540, 519, 8254, 779, 1239, 267, 3976, 3850, 547, 5173, 2242, 538, 2990, 543, 2242, 538, 4745, 7285, 18071, 2614, 6111, 538, 7403, 547, 2087, 519, 2126, 269, 0, 11754, 7675, 519, 7984, 11765, 281, 1323, 11137, 540, 17455, 2438, 15863, 11150, 454, 763, 2518, 2146, 814, 5185, 13778, 2591, 538, 519, 12687, 540, 519, 6855, 269, 22749, 267, 3906, 267, 543, 2043, 723, 1044, 25997, 547, 15260, 612, 741, 4485, 543, 1020, 2500, 2994, 547, 11574, 519, 1764, 540, 519, 6433, 563, 15900, 27800, 543, 16721, 1563, 1145, 454, 3080, 540, 519, 2565, 4245, 4121, 689, 519, 6855, 568, 519, 2956, 540, 2038, 6304, 543, 23982, 269, 18831, 602, 8045, 16190, 543, 23801, 3800, 538, 519, 3355, 5933, 941, 1732, 9280, 547, 4383, 519, 3262, 540, 519, 3644, 543, 11574, 922, 1764, 593, 1857, 1072, 543, 519, 4346, 563, 10890, 3249, 24486, 22365, 7593, 454, 4462, 557, 4979, 8921, 268, 7049, 17455, 2438, 11150, 454, 1103, 519, 29287, 13287, 540, 17420, 2518, 1072, 267, 519, 11944, 540, 8921, 268, 7049, 17455, 2438, 11150, 7436, 513, 17565, 6521, 538, 875, 649, 1935, 543, 8396, 11763, 3676, 269, 901, 2376, 7710, 519, 5499, 543, 4464, 6253, 9722, 4485, 602, 5581, 519, 1985, 5108, 540, 6855, 3210, 563, 29804, 2065, 16721, 1563, 1145, 281, 15332, 1230, 14846, 21474, 454, 9202, 268, 7049, 17455, 2438, 11150, 979, 3564, 6671, 23982, 3800, 269, 1358, 7854, 513, 11455, 1935, 602, 26779, 4359, 4066, 267, 2146, 6278, 267, 543, 3486, 5698, 269, 901, 3102, 4640, 26342, 602, 2500, 6855, 3210, 3340, 513, 15491, 543, 22537, 5943, 563, 10574, 5937, 337, 1508, 17423, 10435, 454, 4263, 519, 4295, 540, 8921, 268, 7049, 17455, 2438, 11150, 568, 1239, 12454, 3375, 6194, 563, 3725, 23728, 1944, 4270, 5174, 4370, 281, 21150, 1046, 532, 593, 25682, 2657, 9024, 328, 2510, 454, 1103, 519, 13287, 540, 513, 8902, 543, 811, 7059, 1272, 267, 9716, 1072, 7341, 616, 6932, 607, 13710, 11444, 269, 901, 2376, 12538, 883, 519, 3309, 5251, 540, 9716, 7341, 267, 3695, 875, 789, 10776, 2763, 2318, 1689, 543, 6536, 11455, 1134, 5630, 563, 9377, 1456, 25682, 2657, 9024, 328, 2510, 454, 4263, 519, 4295, 540, 713, 17565, 6521, 568, 519, 4214, 540, 9716, 1072, 7341, 269, 1452, 7854, 513, 3376, 8552, 540, 3292, 267, 2238, 267, 543, 2994, 2966, 547, 3986, 2949, 1134, 5630, 269, 3245, 5009, 2168, 8516, 543, 2790, 6043, 547, 5807, 9422, 4656, 267, 891, 7341, 2832, 547, 1711, 513, 3102, 1935, 547, 1072, 602, 0, 1103, 606, 5736, 13856, 676, 13819, 543, 11255, 2238, 267, 3237, 616, 7683, 593, 519, 1413, 719, 585, 5499, 2081, 547, 5000, 741, 1453, 547, 9784, 519, 13964, 269, 11272, 1085, 2393, 619, 267, 2523, 3631, 899, 519, 19010, 2839, 2207, 476, 279, 10790, 311, 267, 723, 7153, 607, 513, 1187, 543, 2500, 3070, 547, 713, 4161, 269, 1809, 3564, 519, 26497, 540, 519, 11878, 267, 875, 798, 3167, 1085, 2393, 619, 3565, 547, 2168, 2534, 543, 2949, 1134, 5630, 538, 3214, 888, 25911, 766, 543, 18509, 1588, 281, 29923, 519, 1148, 540, 14964, 606, 3167, 1085, 2393, 518, 3340, 3214, 547, 1020, 543, 13217, 741, 3666, 543, 11558, 269, 5272, 2490, 267, 3247, 267, 543, 10231, 568, 513, 3992, 538, 2168, 1852, 563, 15404, 2193, 22580, 281, 2552, 9009, 547, 1018, 930, 1522, 1589, 267, 14964, 606, 3167, 1085, 2393, 518, 3884, 1406, 513, 12809, 2534, 269, 8866, 4497, 538, 1585, 4887, 2516, 267, 2523, 538, 519, 7953, 267, 4295, 267, 543, 7916, 267, 607, 789, 27464, 543, 2226, 741, 14302, 563, 25205, 26210, 2657, 281, 2755, 621, 779, 711, 607, 7920, 607, 838, 11781, 532, 610, 17259, 18052, 267, 1085, 17415, 1472, 666, 21592, 513, 1126, 779, 2295, 2557, 267, 2523, 1282, 6905, 26055, 610, 950, 10188, 9867, 1768, 23230, 269, 1306, 12006, 267, 14964, 2337, 2333, 513, 1126, 779, 1973, 10009, 543, 2087, 741, 10307, 563, 6524, 15603, 707, 1126, 24680, 1055, 593, 741, 3167, 1085, 2393, 518, 267, 621, 779, 2629, 547, 1128, 650, 519, 2956, 540, 3106, 269, 29581, 1115, 267, 12597, 21181, 267, 543, 23969 ]

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

[ 269, 3445, 780, 763, 15895, 568, 3989, 607, 519, 3017, 1063, 519, 1384, 716, 783, 1871, 540, 586, 543, 519, 6059, 1871, 540, 586, 780, 716, 783, 1871, 540, 1535, 543, 519, 6059, 1871, 540, 1535, 692, 716, 783, 1871, 540, 586, 543, 519, 6059, 1871, 540, 1535, 780, 716, 783, 1871, 540, 1535, 543, 519, 6059, 1871, 540, 586, 780, 8802, 1833, 2079, 729, 4294, 1063, 3747, 585, 513, 1587, 630, 312, 264, 543, 519, 3902, 540, 519, 1587, 630, 311, 1070, 543, 519, 1739, 6059, 9695, 3830, 729, 5833, 563, 284, 476, 6344, 910, 476, 1015, 2473, 454, 17780, 593, 519, 1657, 6059, 9695, 3830, 267, 952, 3902, 568, 2799, 676, 476, 273, 4559, 267, 1287, 3747, 568, 4397, 547, 692, 27463, 848, 676, 476, 6344, 4559, 692, 27463, 848, 676, 476, 1911, 4559, 692, 27463, 848, 676, 476, 736, 4559, 692, 1372, 576, 848, 676, 476, 736, 4559, 692, 26594, 5276, 9695, 3340, 602, 519, 10253, 540, 6482, 581, 6829, 538, 2901, 1384, 333, 558, 1400, 610, 3921, 1400, 780, 867, 1400, 610, 5223, 780, 5793, 1998, 610, 5223, 780, 333, 558, 1400, 610, 5223, 780, 333, 558, 1400, 610, 8884, 780, 2252, 519, 11664, 540, 9756, 568, 513, 2318, 1871, 267, 1287, 519, 9695, 3830, 692, 332, 755, 723, 513, 2318, 9386, 692, 332, 755, 723, 513, 2942, 9386, 692, 322, 746, 723, 2901, 513, 2318, 610, 513, 2942, 9386, 692, 332, 755, 723, 513, 2318, 586, 18448, 692, 17357, 21975, 2079, 568, 1031, 547, 3313, 692, 1492, 3830, 540, 519, 9695, 1899, 692, 1492, 4222, 540, 519, 2078, 1063, 519, 8200, 543, 519, 4830, 4632, 692, 320, 1808, 1871, 540, 519, 8200, 4756, 585, 513, 2016, 1871, 540, 519, 4830, 4756, 692, 14085, 540, 891, 8925, 568, 2953, 780, 1103, 1931, 547, 7447, 609, 476, 4817, 260, 6015, 519, 4397, 1871, 540, 586, 538, 513, 2241, 5276, 9695, 1966, 267, 513, 4351, 3732, 540, 476, 1015, 7422, 568, 3144, 269, 6904, 540, 519, 1739, 512, 2389, 762, 2418, 7396, 2630, 1131, 581, 1031, 2496, 273, 269, 25248, 692, 273, 269, 27420, 692, 272, 269, 279, 2568, 692, 272, 269, 279, 1321, 692, 2252, 519, 2040, 540, 10945, 1813, 547, 9695, 630, 7704, 305, 264, 568, 476, 2568, 267, 799, 540, 519, 1739, 1590, 581, 3020, 2496, 763, 11664, 540, 9756, 568, 476, 271, 269, 280, 780, 763, 2698, 2040, 540, 10945, 630, 306, 4306, 264, 568, 693, 2547, 476, 2568, 780, 763, 586, 25435, 568, 2318, 780, 763, 9386, 267, 536, 267, 568, 2318, 780, 763, 11664, 540, 8990, 568, 476, 271, 269, 10037, 780, 1103, 9695, 543, 9756, 2079, 267, 952, 9399, 292, 543, 590, 4306, 616, 1634, 267, 1287, 609, 713, 1344, 519, 692, 1723, 324, 2310, 540, 8990, 666, 581, 17223, 692, 16435, 2100, 540, 519, 1899, 666, 581, 17223, 692, 312, 18448, 666, 581, 17223, 692, 343, 18448, 666, 581, 17223, 692, 763, 9695, 1899, 586, 11058, 815, 476, 274, 1341, 476, 273, 343, 814, 1044, 19034, 547, 519, 1239, 2798, 630, 275, 267, 279, 1070, 630, 273, 267, 276, 1070, 543, 630, 272, 267, 273, 1040, 634, 15895, 2040, 540, 10945, 786, 581, 1384, 1015, 780, 1428, 780, 1724, 780, 2420, 780, 763, 7299, 3262, 540, 519, 1239, 2798, 827, 519, 9695, 1899, 568, 6027, 676, 519, 1384, 2958, 1833, 11664, 780, 20598, 5470, 540, 7447, 780, 344, 25435, 780, 327, 558, 657, 1027, 2880, 640, 11664, 780, 339, 268, 7806, 1470, 780, 8698, 9509, 5403, 532, 19672 ]

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