Datasets:
SmallDoge
/
stable_dataset_processed

Dataset card Data Studio Files
xet
Community
Search is not available for this dataset
input_ids
listlengths
1
2.05k
attention_mask
listlengths
1
2.05k
[ 539, 9724, 10273, 4745, 568, 840, 2903, 9789, 454, 21801, 476, 1321, 267, 476, 1001, 277, 1109, 6440, 1677, 1020, 519, 10145, 6366, 3259, 585, 513, 12718, 18202, 689, 6656, 610, 6676, 568, 3833, 2241, 281, 26243, 267, 596, 1058, 5173, 519, 4099, 1467, 9095, 281, 630, 11073, 2515, 18924, 2678, 774, 32169, 264, 1535, 476, 274, 269, 15221, 277, 815, 20099, 540, 17934, 22490, 630, 11900, 728, 18924, 2678, 1341, 774, 32169, 264, 1535, 454, 20238, 541, 3444, 7611, 568, 1031, 547, 3713, 27858, 538, 513, 2647, 8390, 540, 9832, 269, 1280, 1383, 267, 513, 2848, 953, 8484, 630, 6518, 568, 2966, 547, 723, 1970, 3713, 1464, 264, 786, 723, 1374, 2934, 602, 2285, 621, 513, 1970, 681, 5425, 630, 7945, 607, 10110, 550, 5862, 267, 6366, 7252, 267, 7252, 4481, 2587, 1194, 547, 2992, 519, 5365, 12341, 824, 982, 2509, 519, 2707, 1070, 607, 454, 13356, 476, 2764, 267, 476, 1001, 274, 1109, 6440, 634, 6192, 1775, 19868, 545, 2203, 269, 1656, 2870, 6366, 4806, 8850, 585, 23120, 9454, 531, 22947, 269, 6423, 21957, 17084, 585, 5850, 875, 547, 798, 621, 563, 293, 12089, 16258, 10273, 570, 16260, 18185, 901, 9498, 21410, 6378, 3728, 10273, 2990, 7109, 1734, 9001, 3741, 543, 2035, 1369, 6789, 10933, 962, 1691, 269, 26392, 6021, 543, 6789, 10933, 962, 1691, 269, 276, 300, 476, 1960, 275, 267, 2983, 6248, 17435, 3290, 532, 543, 570, 11217, 3496, 630, 31270, 261, 307, 1916, 763, 4427, 14079, 28463, 3830, 568, 607, 5205, 281, 1306, 815, 630, 14566, 310, 19422, 273, 325, 521, 264, 7316, 281, 1306, 815, 3444, 7611, 531, 1858, 538, 4009, 6279, 540, 5374, 829, 1899, 531, 3723, 540, 28973, 8700, 674, 284, 11508, 3815, 700, 284, 3845, 538, 3952, 1063, 10549, 630, 1492, 3845, 1063, 519, 1863, 7475, 540, 519, 28973, 602, 666, 1847, 1813, 547, 16756, 720, 19432, 610, 8143, 7269, 1040, 654, 284, 4666, 2597, 540, 519, 28973, 630, 1186, 325, 1916, 306, 920, 342, 18963, 1107, 10162, 1993, 1299, 654, 8712, 7843, 1602, 3320, 5150, 14860, 538, 1747, 609, 1507, 18969, 610, 6366, 25336, 269, 7736, 22272, 530, 1998, 2917, 513, 5934, 540, 476, 1321, 6279, 269, 12338, 8122, 8440, 593, 5086, 607, 2556, 269, 2506, 572, 531, 19479, 1058, 581, 5116, 896, 8122, 8440, 269, 12305, 3728, 22211, 593, 4099, 593, 1312, 5011, 540, 14860, 998, 8470, 543, 454, 4322, 2010, 540, 25336, 2154, 596, 547, 27669, 1074, 873, 269, 634, 4324, 540, 6366, 25336, 568, 602, 596, 4465, 5257, 339, 723, 547, 5855, 827, 707, 17684, 23578, 856, 689, 519, 2627, 543, 4929, 824, 1919, 547, 669, 593, 621, 267, 799, 568, 1898, 952, 596, 5257, 516, 2870, 707, 1378, 865, 17304, 610, 2679, 513, 2835, 3559, 325, 602, 1004, 786, 3802, 676, 1419, 563, 1492, 3259, 540, 519, 17684, 896, 519, 5577, 704, 17752, 547, 1100, 811, 982, 827, 3670, 2053, 519, 17684, 8006, 269, 6008, 5529, 14788, 8006, 2527, 2095, 25336, 630, 8993, 269, 476, 273, 264, 666, 723, 13080, 896, 519, 5577, 704, 17752, 540, 909, 547, 476, 1321, 2053, 519, 17684, 8006, 269, 3040, 2422, 513, 2974, 327, 9464, 512, 893, 269, 901, 2488, 1852, 540, 519, 2095, 4806, 538, 519, 5577, 704, 267, 799, 568, 2356, 711, 2009, 609, 454, 4415, 10512, 1995, 6580, 1394, 547, 476, 3422, 279, 267, 11628, 9454, 531, 5303, 5257, 338, 22427, 13900, 1460, 12814, 22947, 4813, 532, 3590, 31132, 543, 9367, 616, 1634, 607, 3020, 5001, 3401, 538, 4477, 673, 21115, 342, 22947, 5478, 907, 589, 4306, 5257, 338, 22427, 13900, 1460, 12814, 22947, 4813, 532, 3590, 568, 5499, 543, 12316, 2029, 267, 2919, 538, 5245, 676, 519, 3056, 4966, 538, 519, 2361, 540, 8184, 8108, 2409, 543, 1949, 563, 6546, 4137, 568, 827, 1318, 585, 513, 1970, 28995, 30021, 269, 6423, 849, 713, 9498, 543, 713, 3349, 269, 1306, 513, 4641, 2638, 952, 649, 16977, 547, 513, 3444, 3296, 531, 1858, 540, 476, 278, 6515, 476, 273, 543, 513, 4452, 540, 476, 1911, 271, 715, 602, 3947, 513, 28995, 2566, 540, 476, 9610, 12463, 320, 799, 568, 2630, 6556, 1256, 585, 1970, 28995, 2848, 1564, 907, 769, 713, 1880, 2796, 267, 1141, 18165, 568, 1634, 267, 519, 8142, 12334, 3085, 5257, 339, 2097, 883, 621, 607, 596, 616, 12719, 1759, 593, 454, 14503, 520, 18924, 2678, 540, 4119, 518, 21115, 342, 18185, 269, 1403, 596, 616, 3168, 585, 519, 2626, 547, 707, 2243, 540, 15234, 1692, 547, 5173, 519, 6366, 1106, 540, 513, 8184, 540, 17684, 286, 262, 3299, 1287, 519, 2016, 2630, 6366, 8006, 540, 11160, 518, 17684, 9498, 786, 948, 596, 547, 1265, 519, 2626, 998, 519, 6366, 1106, 540, 513, 8184, 540, 17684, 23740, 9273, 609, 8897, 563, 2420, 21115, 342, 543, 8776, 4302, 4039, 566, 4542, 1063, 17684, 543, 18165, 476, 3374, 476, 2537, 8776, 4302, 3213, 324, 2310, 5236, 376, 486, 272, 24724, 16754, 540, 18165, 11664, 476, 3607, 5236, 376, 486, 273, 24724, 634, 18165, 11664, 568, 711, 7123, 476, 3607, 5236, 376, 486, 274, 24724, 4634, 950, 519, 18165, 568, 7123, 267, 30212, 8082, 949, 4268, 476, 3607, 476, 2190, 6396, 585, 10318, 1456, 570, 697, 2287, 8776, 4302, 5236, 376, 486, 272, 24724, 16792, 3617, 9395, 2287, 18165, 476, 4391, 454, 12914, 476, 1240, 267, 476, 1220, 280, 1109, 6440, 1403, 596, 17684, 538, 519, 6366, 621, 2636, 519, 28937, 547, 10110, 519, 7269, 269, 1403, 596, 17684, 538, 519, 28937, 519, 7269, 786, 4827, 519, 1166, 1846, 17666, 873, 1055, 540, 519, 8122, 269, 23657, 1259, 519, 25336, 786, 1205, 10690, 543, 519, 729, 1667, 786, 5555, 11523, 610, 14016, 622, 269, 2334, 5257, 338, 519, 4617, 3095, 538, 6534, 17684, 4496, 32072, 563, 24137, 10273, 543, 21115, 342, 1315, 12157, 339, 5071, 16754, 5071, 4578, 23848, 540, 10049, 269, 6423, 8776, 4302, 10414, 5071, 12307, 2546, 543, 18165, 5750, 2985, 585, 5227, 3728, 10273, 18165, 543, 3830, 1239, 269, 901, 3728, 10273, 30021, 18165, 9498, 786, 6480, 1493, 519, 7164, 18165, 267, 8006, 267, 30212, 3196, 4294, 543, 11664, 540, 7432, 11508, 585, 519, 2016, 454, 28205, 4834, 616, 519, 1482, 607, 519, 4834, 540, 519, 1298, 5514, 540, 543, 1858, 267, 3976, 649, 543, 11943, 602, 2433, 538, 1931, 547, 723, 7833, 8082, 610, 13496, 538, 513, 24388, 1738, 3046, 267, 519, 30212, 3196, 1590, 957, 998, 519, 1298, 5514, 540, 519, 3444, 7611, 531, 1858, 7151, 476, 1556, 585, 513, 17860, 9764, 8546, 540, 11956, 7028, 513, 735, 4809, 4452, 540, 454, 684, 19507, 270, 684, 9776, 6366, 1315, 7077, 4137, 540, 513, 476, 274, 291, 1843, 269, 595, 6817, 849, 513, 4806, 267, 519, 7077, 949, 1397, 519, 3020, 2450, 540, 1142, 1858, 540, 519, 1843, 269, 1879, 519, 4806, 568, 2759, 267, 621, 666, 581, 18202, 610, 25649, 1394, 883, 519, 3312, 1843, 269, 10613, 540, 1646, 540, 7252, 616, 281, 23155, 1899, 1646, 7101, 658, 454, 3719, 952, 596, 1589, 596, 666, 2759, 513, 6366, 719, 540, 811, 982, 835, 4783, 630, 335, 3558, 264, 540, 513, 17684, 689, 513, 6366, 6656, 1547, 257, 527, 513, 514, 5257, 339, 16891, 5257, 320, 4755, 1040, 1703, 616, 5066, 1106, 619, 602, 786, 1491, 513, 14816, 610, 513, 16509, 540, 6656, 4496, 543, 25837, 835, 2427, 512, 7660, 982, 519, 824, 543, 3049, 856, 513, 6656, 5471, 531, 23740, 17684, 585, 454, 13202, 476, 736, 267, 476, 1001, 273, 1109, 6440, 1215, 547, 1711, 513, 17684, 23740, 1210, 16847, 5471, 531, 4781, 543, 849, 991, 6366, 6312, 1181, 585, 602, 286, 4746, 519, 6366, 4806, 568, 711, 4977, 950, 1210, 3138, 30835, 269, 1548, 602, 1797, 568, 267, 952, 596, 2203, 519, 17684, 538, 20348, 17582, 607, 606, 10198, 267, 519, 694, 4461, 540, 519, 19426, 786, 581, 13988, 1524, 519, 3003, 3259, 540, 454, 17098, 267, 594, 993, 3843, 547, 5173, 519, 6366, 1106, 540, 513, 8184, 585, 513, 17684, 23740, 267, 543, 519, 4542, 594, 946, 568, 711, 4977, 543, 621, 5257, 338, 6117, 803, 21173, 267, 865, 568, 972, 4896, 945, 814, 513, 23319, 593, 713, 269, 2433, 1215, 547, 5173, 519, 6366, 1106, 540, 513, 8184, 540, 17684, 23740, 269, 2052, 2576, 948, 803, 1174, 952, 621, 568, 2009, 547, 946, 513, 17684, 23740, 3079, 540, 513, 1793, 25744, 6802, 454, 1692, 547, 12433, 543, 9255, 21115, 9749, 2353, 4614, 601, 11438, 25336, 538, 476, 273, 1114, 13080, 281, 476, 272, 16006, 10759, 543, 476, 273, 10759, 269, 634, 476, 272, 16006, 10759, 3099, 568, 519, 1655, 782, 335, 17123, 2450, 269, 634, 3349, 2630, 666, 581, 1031, 547, 4137, 16977, 9424, 540, 25336, 585, 1585, 1625, 4802, 838, 659, 902, 543, 7306, 540, 22908, 269, 21115, 9749, 616, 2139, 538, 454, 338, 793, 531, 689, 513, 9985, 5347, 12106, 540, 3444, 3296, 531, 1858, 540, 9501, 295, 16730, 18919, 2969, 12813, 12442, 2910, 305, 301, 2207, 476, 11740, 661, 23694, 13008, 476, 3445, 23694, 13008, 476, 2568, 661, 23694, 23781, 288, 20937, 631, 8980, 301, 3951, 11070, 292, 630, 323, 289, 8243, 264, 476, 30329, 269, 273, 7612, 476, 274, 269, 7982, 3122, 3245, 25609, 1403, 1142, 540, 519, 2039, 610, 1379, 4834, 602, 723, 606, 681, 5425, 630, 674, 264, 2165, 568, 11117, 585, 519, 4644, 540, 13302, 681, 5425, 2676, 13202, 476, 1556, 267, 476, 1001, 276, 1109, 6440, 25223, 488, 570, 9581, 19296, 10261, 547, 5700, 6168, 16258, 22211, 269, 2755, 621, 568, 8799, 602, 29928, 17684, 10256, 1810, 5257, 339, 17277, 1055, 25336, 899, 6366, 9843, 798, 267, 621, 5257, 338, 513, 1483, 1928, 950, 519, 2212, 666, 1100, 3476, 581, 29352, 1317, 519, 17684, 2212, 814, 24268, 883, 513, 17860, 13409, 269, 12157, 339, 570, 3290, 568, 519, 1883, 547, 519, 10240, 1540, 329, 2002, 3830, 543, 607, 971, 519, 8082, 3804, 568, 476, 3583, 454, 11754, 519, 3830, 607, 596, 666, 1294, 538, 519, 4605, 269, 2913, 5257, 338, 5173, 519, 3830, 1210, 9498, 281, 476, 22550, 269, 271, 2190, 265, 11740, 270, 29257, 269, 278, 2918, 815, 476, 31003, 269, 278, 3451, 2554, 1547, 634, 1267, 568, 519, 30085, 5086, 540, 938, 6366, 4806, 269, 8921, 4894, 9095, 1063, 3515, 602, 649, 1810, 5257, 339, 991, 1210, 2558, 574, 1907, 269, 2913, 5257, 338, 9096, 519, 17250, 543, 556, 4067, 519, 28220, 272, 602, 3138, 539, 538, 11422, 883, 25065, 23694, 563, 20236, 24286, 16448, 1403, 519, 16715, 18165, 568, 2942, 267, 519, 4452, 786, 2539, 3294, 676, 4929, 519, 17684, 547, 8095, 1510, 1022, 5007, 4674, 269, 1403, 519, 16715, 18165, 568, 2318, 267, 519, 17684, 568, 1582, 24286, 269, 8682, 24286, 2783, 568, 533, 535, 546, 544, 3436, 561, 3502, 532, 602, 561, 1315, 533, 546, 544, 815, 16009, 561, 267, 519, 1582, 24286, 2783, 666, 581, 2938, 547, 1152, 4125, 519, 11664, 540, 11508, 543, 519, 1291, 454, 289, 565, 1540, 17434, 5071, 1703, 568, 1100, 835, 3728, 10273, 1570, 602, 568, 1318, 585, 1169, 1604, 269, 29922, 519, 1318, 3728, 10273, 1570, 689, 519, 5318, 5044, 540, 1346, 2139, 666, 581, 513, 18447, 4305, 269, 5516, 995, 7156, 1590, 581, 2016, 547, 4222, 267, 2837, 267, 14809, 267, 19089, 267, 9854, 267, 543, 1082, 824, 4632, 563, 2690, 1875, 15132, 983, 30021, 3270, 267, 513, 18700, 5311, 4358, 693, 519, 1647, 1131, 7363, 581, 9138, 630, 8450, 667, 807, 269, 645, 1040, 2201, 2565, 10549, 267, 513, 9395, 2287, 4806, 602, 9395, 839, 519, 31211, 811, 982, 2899, 666, 581, 9138, 547, 2327, 606, 1256, 840, 2903, 3892, 563, 14566, 2969, 744, 309, 3201, 476, 3445, 667, 9680, 12767, 20700, 289, 8582, 1107, 476, 276, 26629, 806, 16847, 19045, 4045, 832, 267, 5549, 269, 6366, 24814, 2582, 3774, 13811, 543, 3514, 14005, 616, 835, 851, 540, 938, 2347, 1899, 540, 25256, 2472, 269, 25065, 24814, 13811, 814, 1044, 2966, 585, 11658, 2230, 2175, 602, 3112, 3398, 5180, 18700, 13811, 563, 13971, 476, 2767, 267, 476, 1001, 273, 1109, 6440, 4635, 3138, 1111, 539, 6656, 4496, 267, 594, 5257, 557, 1044, 2111, 547, 1711, 519, 6366, 4806, 585, 519, 11160, 518, 8184, 3296, 855, 594, 666, 5257, 339, 1205, 1022, 18846, 3515, 585, 513, 2046, 20347, 269, 0, 288, 5959, 13862, 568, 513, 1698, 4478, 519, 5694, 543, 568, 1031, 547, 2087, 519, 5920, 540, 513, 12837, 1247, 19620, 513, 8697, 5694, 269, 589, 13862, 666, 581, 1500, 689, 1614, 1114, 2326, 267, 782, 2173, 13926, 267, 17375, 6823, 2173, 13926, 267, 543, 782, 268, 1356 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3586, 1416, 269, 1879, 513, 4816, 568, 17237, 267, 4411, 267, 538, 991, 540, 513, 4195, 546, 807, 704, 267, 610, 4743, 12922, 267, 922, 1101, 16846, 568, 547, 3956, 563, 290, 11538, 568, 2067, 267, 543, 3237, 12582, 1406, 5855, 827, 24401, 4979, 741, 4816, 676, 14775, 547, 1169, 3956, 269, 6056, 827, 621, 1107, 875, 666, 596, 27253, 1945, 538, 922, 1360, 1101, 3275, 538, 519, 1158, 286, 2913, 1154, 707, 4816, 3956, 568, 5906, 267, 1932, 269, 898, 779, 1044, 5532, 547, 2799, 20418, 2042, 267, 543, 1256, 524, 1026, 2669, 563, 7197, 897, 1157, 344, 9002, 3956, 23494, 1317, 789, 941, 4535, 1932, 2038, 269, 8307, 4557, 2600, 540, 897, 1157, 344, 9002, 7985, 689, 513, 2168, 17966, 618, 267, 971, 607, 1426, 22166, 267, 1247, 519, 1964, 8858, 897, 1157, 344, 2589, 1317, 789, 14406, 519, 8772, 959, 30478, 538, 519, 27042, 563, 3383, 267, 607, 707, 1126, 5205, 922, 26756, 543, 6238, 24986, 267, 1577, 707, 1378, 26756, 3391, 596, 543, 1397, 707, 1126, 2648, 607, 4166, 607, 621, 2115, 621, 269, 17652, 2614, 267, 707, 4816, 786, 1451, 547, 1745, 2922, 950, 596, 2461, 1472, 269, 16480, 267, 596, 3580, 3006, 991, 513, 1906, 15361, 909, 707, 19492, 557, 547, 865, 6139, 707, 4816, 269, 1284, 3580, 2263, 891, 1985, 563, 289, 28320, 723, 513, 2027, 22196, 16846, 267, 543, 972, 779, 606, 1148, 547, 24254, 621, 563, 2710, 596, 917, 519, 12597, 18191, 17064, 16846, 286, 674, 3305, 569, 7148, 707, 12597, 267, 1318, 2630, 519, 9054, 1815, 777, 267, 543, 596, 3580, 538, 30541, 1836, 14736, 707, 1850, 269, 901, 16846, 15069, 3884, 1406, 2469, 547, 948, 596, 9350, 707, 4816, 269, 1809, 1776, 267, 8449, 6325, 16846, 786, 269, 4634, 519, 1835, 1678, 5006, 9002, 723, 513, 2027, 22196, 16846, 602, 14014, 873, 1282, 6379, 543, 5170, 547, 865, 6139, 873, 1310, 789, 4283, 519, 1158, 563, 288, 4816, 779, 22196, 16846, 737, 6506, 883, 2962, 1282, 741, 2063, 3923, 538, 519, 27042, 267, 25695, 519, 4816, 547, 2061, 621, 689, 3001, 1472, 1932, 1454, 269, 901, 568, 4105, 2094, 693, 713, 3942, 538, 519, 6379, 519, 27042, 4991, 2864, 9395, 256, 1403, 519, 4816, 8952, 19184, 532, 543, 7432, 267, 621, 1522, 1205, 12758, 538, 513, 2990, 602, 27938, 922, 1272, 543, 519, 1272, 540, 922, 3993, 1282, 4332, 563, 763, 1434, 3377, 568, 602, 713, 22196, 16846, 26251, 1310, 4332, 269, 1809, 24254, 621, 568, 513, 2370, 811, 7294, 982, 519, 12597, 329, 17064, 16846, 269, 1703, 616, 2947, 2994, 596, 666, 946, 267, 799, 649, 3580, 2263, 538, 519, 1025, 3855, 547, 2097, 269, 1452, 666, 581, 16602, 547, 4487, 267, 543, 1142, 4816, 20781, 547, 873, 5594, 8335, 269, 1809, 789, 2461, 4502, 8026, 267, 543, 707, 4816, 786, 1451, 547, 4431, 547, 873, 811, 543, 811, 607, 596, 1312, 1831, 5432, 609, 873, 563, 3383, 1577, 779, 1205, 3323, 609, 519, 1101, 1079, 540, 519, 2947, 968, 306, 892, 338, 281, 2220, 5417, 1782, 543, 519, 2427, 2990, 2336, 18933, 18150, 707, 4816, 543, 1832, 621, 14084, 593, 922, 2427, 547, 9594, 519, 22196, 16846, 563, 18933, 5417, 1782, 707, 4816, 1107, 519, 1101, 590, 1107, 568, 513, 2241, 1259, 547, 9594, 922, 22196, 16846, 269, 1656, 621, 779, 19599, 2500, 269, 1809, 1946, 286, 4270, 267, 676, 28277, 707, 4816, 17401, 267, 596, 2461, 1138, 6819, 519, 9543, 267, 6024, 2604, 540, 519, 27042, 269, 1924, 582, 1117, 543, 17159, 676, 713, 2604, 267, 707, 4816, 786, 581, 811, 20916, 547, 4431, 547, 2417, 12153, 563, 3719, 3180, 593, 1107, 3884, 1406, 2220, 5417, 1782, 3983, 585, 707, 4816, 286, 3509, 3237, 267, 1310, 7487, 741, 24986, 4816, 21389, 603, 532, 543, 1166, 9430, 922, 7916, 267, 5855, 602, 2220, 5417, 1782, 568, 1932, 1526, 878, 1154, 269, 630, 18933, 5417, 1782, 814, 849, 1044, 15555, 1819, 547, 2333, 519, 1981, 540, 590, 5844, 23862, 12280, 15540, 630, 306, 10680, 1040, 1809, 267, 593, 519, 14669, 267, 1382, 2982, 602, 590, 31312, 1981, 568, 4389, 952, 596, 2220, 18150, 707, 4816, 7157, 4700, 2353, 713, 2695, 15256, 543, 1166, 9430, 3884, 1406, 1945, 602, 9002, 2972, 282, 789, 1175, 666, 1406, 948, 621, 267, 543, 267, 538, 1249, 267, 621, 22705, 1115, 873, 2417, 269, 4210, 5417, 1782, 707, 4816, 267, 543, 3976, 7303, 3350, 267, 2337, 707, 4816, 1745, 2922, 1586, 563, 4913, 267, 596, 1058, 3970, 2220, 5417, 1782, 547, 3207, 543, 24986, 14501, 267, 543, 2569, 621, 7930, 607, 707, 4816, 1319, 999, 563, 1607, 786, 2327, 707, 4816, 666, 12701, 543, 1847, 607, 1454, 607, 621, 15055, 563, 302, 10798, 267, 855, 6148, 596, 4076, 1185, 8373, 2220, 5417, 1782, 707, 4816, 1107, 621, 4465, 1406, 3251, 1869, 267, 610, 621, 6238, 24986, 269, 1677, 513, 3200, 713, 1966, 267, 946, 519, 2034, 590, 281, 519, 2427, 2990, 269, 1879, 596, 2482, 513, 4816, 593, 922, 1394, 267, 922, 8401, 1062, 949, 4612, 713, 2990, 607, 9991, 282, 519, 4816, 267, 32232, 609, 519, 9991, 16846, 267, 786, 1376, 548, 543, 1166, 841, 922, 7916, 269, 1924, 3274, 5066, 707, 4816, 593, 922, 2427, 267, 24254, 519, 22196, 16846, 267, 543, 2220, 18150, 2476, 2336, 763, 2427, 2990, 568, 711, 519, 2990, 538, 799, 513, 4816, 1058, 3207, 267, 2705, 269, 4495, 707, 4816, 568, 9350, 543, 4712, 585, 3207, 267, 5066, 621, 5196, 922, 1394, 269, 23496, 602, 707, 4816, 3085, 1406, 3207, 593, 922, 2427, 3648, 6971, 519, 1981, 540, 590, 31312, 267, 1932, 563, 3086, 602, 596, 4076, 3893, 930, 4816, 23343, 2719, 1983, 267, 621, 779, 942, 547, 2736, 519, 24986, 4783, 269, 0, 268, 2052, 2860, 581, 3361, 676, 2566, 888, 268, 2052, 6089, 2860, 581, 23174, 888, 268, 1548, 568, 6089, 2860, 1928, 899, 888, 268, 2052, 596, 2661, 476, 736, 1296, 609, 6089, 2860, 888, 268, 1548, 616, 519, 3929, 5933, 540, 2860, 888, 268, 1548, 7553, 3123, 6089, 2860, 888, 268, 1548, 3536, 6146, 6089, 2860, 2281, 888, 268, 1548, 2186, 540, 1426, 3123, 6089, 2860, 888, 268, 1215, 1281, 513, 2860, 1376, 888, 268, 1772, 2566, 1644, 547, 6089, 2860, 888, 268, 1548, 2186, 540, 2860, 568, 3361, 676, 2566, 888, 268, 1548, 568, 2356, 519, 1101, 1129, 540, 6089, 2860, 888, 268, 1548, 616, 519, 10782, 11871, 547, 1205, 888, 268, 5808, 568, 2808, 1164, 1981, 585, 6089, 2860, 888, 268, 2052, 3668, 540, 3207, 1291, 547, 2860, 888, 4692, 2860, 581, 3361, 676, 2566, 888, 10932, 1631, 5267, 602, 5312, 2566, 666, 2965, 1118, 2860, 3262, 5488, 563, 29590, 666, 3432, 909, 519, 3262, 540, 2860, 2429, 519, 1560, 267, 2523, 538, 25073, 267, 6089, 543, 897, 28030, 2860, 563, 2691, 519, 1560, 3587, 14129, 267, 30088, 899, 562, 648, 18090, 31058, 616, 5950, 267, 799, 12954, 2860, 2281, 10756, 4692, 6089, 2860, 581, 23174, 888, 12179, 2242, 610, 561, 7927, 538, 519, 6089, 1058, 581, 12649, 543, 7318, 269, 23213, 2860, 3112, 2141, 581, 23174, 267, 855, 621, 666, 6157, 581, 5701, 269, 634, 4359, 5574, 2139, 2221, 13468, 519, 1928, 543, 9636, 540, 9811, 6670, 792, 563, 1432, 568, 6089, 2860, 1928, 899, 888, 288, 29406, 26686, 949, 1745, 17031, 267, 2571, 267, 543, 13035, 543, 666, 2049, 9170, 538, 519, 6089, 269, 769, 930, 2665, 267, 519, 26686, 666, 1256, 581, 11213, 269, 2368, 2021, 849, 723, 10053, 267, 32248, 6089, 5160, 269, 28214, 561, 7927, 610, 2242, 538, 707, 28244, 949, 581, 811, 2352, 952, 713, 568, 519, 2013, 563, 4692, 596, 2661, 476, 736, 1296, 609, 6089, 2860, 888, 7712, 519, 9651, 2557, 2404, 609, 12982, 6089, 2860, 2982, 513, 8325, 8445, 1369, 519, 1101, 476, 273, 1296, 543, 513, 4028, 5786, 538, 1981, 538, 7766, 1296, 267, 621, 568, 3810, 2693, 602, 519, 1390, 5354, 540, 2550, 9800, 476, 736, 1296, 1310, 5868, 616, 23174, 563, 1432, 616, 519, 3929, 5933, 540, 2860, 888, 7021, 342, 3559, 4364, 269, 1879, 596, 1101, 1451, 602, 596, 723, 2860, 267, 596, 949, 1745, 607, 952, 707, 1272, 568, 856, 540, 1852, 269, 2560, 9324, 658, 269, 1879, 596, 941, 1101, 8995, 267, 596, 949, 723, 1185, 8373, 18468, 610, 16561, 519, 1249, 602, 596, 723, 2860, 269, 2560, 4911, 518, 269, 2560, 21824, 543, 1937, 787, 269, 2560, 16593, 269, 2560, 13262, 543, 17520, 269, 2560, 19759, 1145, 543, 12870, 269, 2560, 2871, 2830, 21457, 3688, 2507, 31220, 1432, 7553, 3123, 6089, 2860, 888, 306, 4869, 8696, 2090, 3370, 1063, 476, 2735, 275, 543, 476, 1001, 272, 1336, 602, 2021, 4857, 2566, 607, 835, 540, 519, 3123, 540, 741, 6089, 2860, 543, 607, 519, 3056, 2014, 538, 2947, 540, 519, 2090, 563, 1432, 3536, 6146, 6089, 2860, 2281, 888, 290, 745, 322, 26448, 5388, 2443, 7935, 19233, 267, 29761, 28667, 267, 536, 758, 669, 1195, 267, 22648, 267, 28471, 31884, 267, 2458, 731, 16719, 543, 25989, 616, 782, 2808, 16961, 26448, 5388, 269, 1452, 5388, 2270, 6464, 1572, 6722, 657, 26096, 919, 602, 4339, 2860, 538, 1896, 2081, 563, 1432, 2186, 540, 1426, 3123, 6089, 2860, 888, 15933, 338, 602, 949, 2333, 519, 1981, 540, 1114, 5686, 540, 2860, 267, 1519, 6089, 2860, 267, 1331, 281, 531, 4022, 269, 611, 4765, 4006, 8807, 520, 269, 1042, 5779, 269, 15263, 539, 3536, 563, 1692, 1281, 513, 2860, 1376, 888, 4692, 1356, 10953, 950, 519, 1560, 779, 3339, 1852, 7271, 13515, 2324, 269, 6196, 2281, 798, 711, 5884, 543, 3079, 1332, 856, 540, 1852, 267, 8108, 1007, 267, 9402, 2281, 269, 1452, 3063, 2281, 949, 1106, 513, 2527, 540, 5160, 267, 1572, 513, 10510, 269, 2368, 11871, 267, 971, 607, 26679, 267, 798, 711, 1106, 12970, 563, 3674, 2566, 1644, 547, 6089, 2860, 888, 8133, 267, 519, 2021, 6534, 547, 2566, 616, 693, 513, 2362, 1981, 540, 3384, 6089, 2860, 982, 519, 1875, 7721, 12723, 563, 1432, 2186, 540, 2860, 568, 3361, 676, 2566, 888, 5445, 1336, 513, 1713, 7681, 1063, 960, 2566, 543, 519, 1981, 540, 897, 28030, 267, 5761, 543, 1965, 23569, 2860, 2443, 855, 1100, 7681, 609, 519, 1981, 540, 17150, 267, 6089, 610, 25073, 2860, 563, 1432, 568, 2356, 519, 1101, 1129, 540, 6089, 2860, 888, 288, 26686, 538, 707, 6089, 610, 896, 1301, 602, 3085, 1406, 979, 2476, 269, 901, 568, 1419, 519, 1101, 10835, 540, 6089, 2860, 269, 2659, 4387, 666, 2356, 1294, 513, 26686, 593, 513, 7882, 6945, 1279, 1354, 596, 666, 1294, 610, 1745, 621, 269, 4210, 2454, 538, 707, 818, 5404, 527, 610, 2282, 707, 27897, 14752, 563, 1432, 616, 519, 10782, 11871, 547, 1205, 888, 12749, 476, 276, 16458, 31586, 2052, 6203, 299, 2426, 9435, 269, 772, 2529, 269, 7972, 538, 476, 1001, 275, 281, 476, 14689, 267, 18605, 5861, 565, 28030, 9435, 269, 772, 2529, 269, 7972, 538, 476, 1001, 275, 281, 476, 2004, 267, 20542, 269, 1215, 1455, 568, 621, 286, 2560, 23213, 9435, 269, 772, 2529, 269, 7972, 538, 476, 1001, 275, 281, 476, 2412, 267, 25396, 269, 1215, 1455, 568, 621, 286, 2560, 623, 4545, 805, 545, 9435, 269, 772, 2529, 269, 7972, 538, 476, 1001, 275, 281, 476, 4375, 267, 276, 3445, 269, 1215, 1455, 568, 621, 286, 2560, 1160, 8063, 9435, 269, 772, 2529, 269, 7972, 538, 476, 1001, 275, 281, 476, 3066, 267, 21878, 269, 1215, 1455, 568, 621, 286, 6693, 8005, 568, 2808, 1164, 1981, 585, 6089, 2860, 888, 18455, 513, 4807, 543, 3478, 4587, 616, 519, 1292, 1981, 2188, 585, 6089, 2860, 269, 5525, 723, 3254, 602, 707, 1981, 585, 6089, 2860, 568, 1813, 547, 513, 4999, 540, 2188, 269, 634, 1292, 2188, 602, 3310, 707, 1981, 1331, 1373, 513, 4807, 543, 3478, 4587, 269, 4107, 6089, 11871, 616, 1336, 538, 2021, 945, 616, 476, 2004, 1296, 2025, 610, 4587, 563, 4692, 3668, 540, 3207, 1291, 547, 2860, 888, 11514, 4533, 687, 538, 519, 1560, 779, 968, 6798, 1670, 9219, 2223, 799, 8060, 3207, 543, 5215, 540, 824, 3252, 267, 949, 6318, 519, 12918, 540, 11871, 540, 519, 6089, 267, 3935, 267, 30124, 543, 17150, 269, 22452, 547, 1769, 1247, 2324, 16074, 10593, 585, 1896, 1296, 949, 2569, 2157, 540, 5283, 28853, 267, 8716, 2860, 547, 1332, 269, 0, 268, 1772, 918, 1467, 325, 601, 614, 6794, 5256, 610, 4775, 888, 268, 2052, 513, 8004, 723, 918, 1467, 325, 601, 614, 779, 6794, 888, 268, 5808, 568, 1034, 2693, 547, 1205, 918, 1467, 325, 601, 614 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1604, 950, 789, 616, 711, 26356, 540, 5265, 563, 2005, 568, 1271, 585, 1053, 547, 1174, 519, 12178, 540, 552, 2914, 4292, 5533, 543, 875, 789, 666, 948, 2569, 621, 269, 3371, 616, 930, 1883, 2798, 547, 2015, 950, 3450, 1053, 827, 552, 2914, 4292, 5533, 912, 272, 269, 11512, 1018, 552, 2914, 4292, 568, 269, 661, 2914, 4292, 568, 1022, 5907, 3926, 610, 5057, 602, 568, 1100, 3476, 538, 946, 269, 901, 2882, 5904, 267, 1591, 11436, 267, 751, 4582, 2888, 267, 543, 824, 5907, 3457, 563, 273, 269, 11512, 519, 12178, 540, 552, 2914, 4292, 5533, 269, 661, 2914, 4292, 3568, 13818, 2326, 971, 607, 1291, 267, 16035, 267, 543, 20017, 26606, 267, 799, 666, 581, 5950, 883, 519, 1604, 950, 891, 3457, 616, 711, 26356, 540, 5265, 269, 1452, 2326, 666, 8764, 622, 3037, 543, 1216, 267, 3056, 547, 1072, 2042, 585, 3425, 543, 2831, 563, 274, 269, 11512, 875, 547, 5265, 26565, 540, 552, 2914, 4292, 269, 3509, 2950, 723, 552, 2914, 4292, 9657, 3292, 602, 1450, 1004, 547, 9108, 26565, 540, 741, 2025, 11418, 269, 898, 568, 1271, 547, 1382, 2199, 3292, 543, 1491, 5413, 540, 873, 563, 275, 269, 11512, 519, 2956, 540, 4227, 552, 2914, 4292, 269, 26805, 519, 2179, 540, 552, 2914, 4292, 602, 568, 6383, 568, 835, 540, 519, 1034, 2500, 2081, 547, 2569, 552, 2914, 4292, 5533, 269, 11559, 1053, 547, 1589, 827, 519, 2825, 1764, 540, 741, 16306, 543, 547, 4444, 1152, 1018, 789, 991, 563, 3528, 3450, 1053, 827, 519, 12178, 540, 552, 2914, 4292, 5533, 543, 875, 547, 5265, 26565, 540, 741, 2025, 11418, 267, 649, 666, 948, 2569, 519, 2179, 540, 552, 2914, 4292, 602, 568, 6383, 543, 2149, 519, 1604, 563, 292, 2914, 4292, 2359, 568, 606, 1271, 3390, 585, 3506, 547, 2015, 269, 1635, 7598, 1697, 552, 2914, 4292, 2359, 2853, 267, 3506, 666, 2569, 741, 2825, 1764, 267, 4688, 2724, 267, 543, 2327, 519, 3106, 540, 741, 1053, 543, 5234, 269, 12140, 1058, 2015, 7598, 513, 3102, 552, 2914, 4292, 2359, 1544, 602, 2882, 1697, 4015, 267, 4859, 267, 543, 12871, 540, 552, 2914, 4292, 269, 3958, 267, 3506, 1058, 13599, 741, 1053, 543, 5234, 593, 519, 2956, 540, 552, 2914, 4292, 2359, 543, 519, 1761, 4220, 2404, 609, 16789, 12871, 269, 1635, 2921, 891, 3268, 267, 3506, 666, 2327, 602, 741, 552, 2914, 4292, 568, 7307, 19100, 543, 538, 606, 13476, 7874, 6073, 269, 0, 6701, 596, 13110, 540, 707, 28149, 13976, 3168, 10750, 543, 8723, 543, 1810, 1406, 917, 875, 547, 1118, 513, 6367, 538, 28149, 286, 5213, 1406, 5855, 269, 17006, 513, 6367, 547, 707, 19070, 531, 666, 581, 513, 3014, 7302, 9734, 1317, 621, 2636, 596, 547, 9496, 21985, 543, 1491, 1524, 14763, 689, 513, 3845, 563, 13981, 875, 547, 1118, 513, 6367, 538, 28149, 568, 2656, 543, 2653, 267, 799, 10741, 909, 513, 2898, 1007, 1158, 540, 7399, 585, 707, 29863, 269, 2060, 1175, 513, 1906, 2241, 3268, 267, 596, 3580, 581, 29937, 532, 513, 3532, 6367, 543, 25793, 4770, 707, 818, 30987, 1983, 538, 1100, 942, 563, 3383, 1491, 707, 13167, 3349, 543, 1205, 4712, 547, 1831, 513, 605, 818, 7815, 538, 519, 1158, 540, 28149, 269, 769, 713, 3391, 267, 649, 3580, 3802, 596, 998, 519, 1184, 540, 13167, 513, 6367, 1210, 2596, 2200, 1336, 538, 519, 3014, 563, 4131, 779, 4685, 538, 543, 1451, 875, 547, 1118, 513, 6367, 538, 28149, 2336, 1692, 798, 594, 4739, 513, 6367, 538, 28149, 888, 2467, 568, 1152, 513, 1880, 6367, 11600, 1259, 547, 4739, 513, 6367, 538, 28149, 563, 2414, 4739, 513, 6367, 538, 28149, 267, 1101, 596, 991, 547, 5531, 782, 519, 6151, 2326, 602, 616, 2838, 547, 1711, 519, 6367, 269, 26023, 267, 596, 786, 991, 1614, 16853, 543, 1614, 12673, 585, 519, 11600, 454, 272, 269, 7046, 13167, 3349, 454, 2691, 596, 1930, 707, 13167, 3349, 538, 28149, 267, 596, 786, 1294, 513, 476, 274, 676, 476, 274, 7470, 972, 563, 273, 269, 5410, 6529, 543, 12673, 454, 3086, 267, 596, 723, 1614, 16853, 543, 1614, 12673, 4712, 269, 1548, 616, 596, 7996, 585, 286, 3807, 1039, 519, 16853, 543, 12673, 547, 519, 7470, 4010, 607, 3254, 538, 519, 3239, 563, 8855, 267, 8164, 13167, 606, 6221, 538, 28149, 267, 2141, 1747, 519, 3688, 538, 513, 1978, 6073, 269, 1411, 666, 1406, 4739, 513, 14049, 676, 11093, 1919, 14477, 563, 268, 17616, 267, 538, 519, 1101, 1747, 267, 513, 6529, 568, 538, 519, 2034, 4216, 267, 543, 1287, 835, 5569, 568, 538, 519, 3791, 4216, 563, 268, 1280, 519, 2034, 4737, 267, 1747, 835, 6529, 538, 519, 1101, 4216, 267, 1287, 835, 5569, 267, 543, 519, 3791, 4216, 563, 268, 14936, 267, 519, 2063, 4737, 5116, 835, 6529, 538, 519, 2034, 4216, 543, 835, 5569, 538, 519, 3791, 4216, 563, 274, 269, 14958, 707, 6367, 454, 12812, 593, 519, 4739, 7735, 547, 2490, 707, 6151, 2326, 883, 513, 6367, 563, 10000, 326, 15665, 519, 14332, 538, 28149, 454, 5629, 596, 723, 513, 6367, 267, 596, 666, 22010, 621, 547, 606, 17134, 5896, 6367, 676, 1210, 606, 22539, 3349, 543, 700, 777, 529, 32303, 25625, 269, 9255, 519, 6367, 593, 519, 22539, 3349, 267, 1039, 519, 700, 777, 529, 32303, 25625, 547, 519, 22539, 3349, 267, 543, 2824, 519, 17134, 656, 618, 596, 1616, 547, 1039, 547, 519, 6367, 563, 2080, 616, 519, 3268, 547, 17134, 656, 513, 6367, 538, 28149, 912, 268, 20283, 700, 777, 529, 32303, 25625, 281, 700, 777, 529, 32303, 25625, 568, 513, 4544, 20004, 602, 666, 581, 1336, 538, 2620, 23572, 543, 666, 581, 24776, 1210, 606, 4401, 610, 14776, 4584, 1314, 324, 269, 1411, 666, 3489, 621, 676, 10068, 610, 9467, 609, 27142, 563, 268, 5136, 1555, 606, 22539, 3349, 281, 1323, 22539, 3349, 666, 581, 18705, 1210, 476, 275, 2116, 22941, 7161, 267, 476, 273, 19987, 267, 543, 476, 272, 1433, 563, 268, 9255, 519, 22539, 3349, 281, 9255, 519, 22539, 3349, 593, 519, 2666, 543, 1318, 26487, 621, 547, 1930, 519, 22539, 8818, 563, 268, 5410, 519, 6367, 543, 700, 777, 529, 32303, 25625, 281, 9255, 519, 6367, 538, 519, 1283, 18921, 540, 519, 22539, 3349, 543, 1039, 700, 777, 529, 32303, 25625, 538, 519, 1647, 18921, 563, 268, 7994, 606, 17134, 656, 618, 281, 589, 1592, 540, 2139, 17134, 656, 906, 786, 2408, 593, 519, 1318, 2427, 540, 519, 8818, 269, 7994, 519, 17134, 656, 618, 596, 1616, 547, 1039, 547, 519, 6367, 563, 268, 2037, 31008, 519, 6367, 281, 634, 17134, 656, 906, 786, 581, 4294, 547, 519, 6367, 267, 543, 519, 700, 777, 529, 32303, 25625, 786, 581, 10057, 269, 634, 6367, 666, 1631, 581, 1031, 609, 519, 1007, 17134, 656, 906, 563, 4517, 602, 779, 621, 256, 1411, 1631, 723, 606, 17134, 5896, 6367, 538, 28149, 602, 786, 581, 811, 3532, 543, 3730, 982, 513, 2834, 6367, 563, 1692, 1677, 2422, 14332, 538, 28149, 454, 2414, 946, 519, 6367, 267, 3274, 3180, 621, 538, 707, 1688, 543, 1318, 26487, 547, 2721, 519, 6367, 11415, 1394, 269, 24793, 519, 1318, 26487, 7735, 547, 3595, 606, 15561, 269, 634, 3476, 596, 3180, 519, 1318, 26487, 7735, 267, 519, 20991, 519, 15561, 786, 2951, 563, 2080, 616, 519, 3268, 547, 1210, 513, 6367, 538, 28149, 912, 268, 4982, 760, 519, 6367, 281, 7046, 707, 11891, 543, 2824, 519, 6367, 269, 4964, 519, 968, 3225, 760, 892, 7735, 610, 8749, 519, 6367, 547, 519, 2656, 14092, 947, 3046, 563, 268, 5410, 21985, 281, 1677, 946, 519, 6367, 267, 596, 786, 991, 21985, 269, 1411, 666, 4739, 21985, 1210, 1166, 842, 267, 16853, 267, 543, 17207, 563, 268, 13667, 543, 9496, 281, 15579, 1524, 519, 1318, 10856, 7735, 547, 2832, 543, 5305, 519, 7735, 547, 9496, 269, 634, 3476, 596, 3180, 1524, 519, 7735, 267, 519, 811, 3532, 519, 8929, 786, 581, 563, 268, 17797, 519, 2832, 281, 1411, 666, 4188, 519, 2832, 540, 519, 6367, 676, 3001, 707, 23684, 1247, 17935, 563, 268, 22732, 1063, 21985, 281, 1411, 666, 6467, 1063, 1114, 2010, 540, 21985, 676, 29957, 519, 10856, 8868, 610, 676, 10296, 519, 1297, 10569, 563, 268, 4039, 1933, 519, 6367, 281, 1411, 666, 882, 1933, 519, 6367, 676, 10296, 519, 968, 305, 892, 1883, 610, 676, 1318, 12641, 10107, 1247, 519, 6367, 568, 9280, 563, 268, 2422, 519, 2027, 5759, 281, 1403, 596, 723, 17134, 5896, 519, 6367, 267, 596, 666, 946, 519, 2027, 5759, 676, 8066, 1524, 519, 2451, 10856, 7735, 1247, 17935, 563, 4517, 602, 779, 621, 256, 1411, 616, 1631, 2111, 547, 946, 519, 6367, 547, 6968, 2831, 543, 4339, 14763, 543, 596, 666, 849, 946, 2027, 5759, 952, 596, 723, 17134, 5896, 519, 6367, 563, 1692, 547, 4739, 606, 15561, 538, 28149, 888, 5629, 596, 4739, 513, 6367, 267, 596, 849, 991, 606, 15561, 547, 3595, 621, 269, 1411, 666, 1224, 519, 1102, 718, 1043, 11600, 585, 13167, 606, 15561, 2630, 912, 26473, 1600, 2326, 585, 13167, 606, 15561, 454, 2414, 4739, 606, 15561, 267, 596, 786, 991, 835, 6529, 950, 4469, 842, 543, 835, 13692, 1411, 666, 1118, 513, 6529, 676, 7432, 3574, 23026, 883, 11308, 1544, 802, 543, 11308, 1544, 802, 883, 513, 6529, 585, 4469, 842, 269, 1411, 666, 1265, 621, 3362, 593, 5599, 18574, 543, 17207, 666, 581, 1336, 676, 11318, 17944, 454, 272, 269, 28081, 519, 3688, 454, 15411, 519, 13167, 3349, 543, 6582, 519, 3688, 607, 2016, 538, 519, 3239, 2630, 454, 1103, 519, 4099, 6241, 1101, 267, 1747, 513, 2030, 538, 519, 1647, 267, 835, 6529, 267, 543, 513, 13692, 538, 519, 2063, 4216, 269, 5269, 2386, 789, 616, 782, 538, 519, 4099, 610, 1647, 6241, 563, 273, 269, 14958, 707, 15561, 454, 12812, 593, 519, 3113, 7735, 547, 2490, 519, 6151, 2326, 883, 2185, 21985, 269, 1411, 666, 1118, 476, 275, 21985, 14678, 609, 519, 4806, 563, 5319, 31008, 906, 547, 946, 454, 268, 4469, 877, 281, 898, 7140, 8723, 21985, 883, 1166, 5446, 21985, 454, 268, 5295, 281, 547, 2333, 519, 6367, 3441, 563, 268, 623, 4875, 281, 898, 786, 2333, 22545, 3724, 9388, 267, 799, 2306, 519, 14763, 979, 18807, 563, 268, 966, 4314, 532, 31169, 281, 1310, 513, 6345, 10523, 267, 519, 17400, 539, 6221, 786, 14897, 563, 268, 631, 2056, 281, 631, 2056, 9604, 543, 2645, 1210, 2473, 303, 454, 268, 1133, 12577, 281, 547, 2333, 3688, 685, 15006, 563, 6097, 547, 28149, 267, 972, 568, 513, 2078, 1063, 707, 6367, 543, 15561, 269, 634, 6111, 540, 519, 8929, 786, 4096, 593, 519, 12123, 942, 596, 1491, 547, 4452, 563, 2685, 9901, 538, 19426, 585, 543, 3368, 12271, 540, 3441, 609, 519, 4686, 4960, 540, 1102, 997, 1154, 476, 276, 950, 519, 6367, 568, 513, 5279, 267, 621, 1152, 9388, 609, 3368, 2295, 563, 2304, 17134, 5896, 15561, 3123, 811, 3441, 982, 606, 8723, 835, 269, 4746, 267, 950, 519, 15561, 11642, 689, 513, 6367, 267, 621, 568, 3648, 8697, 689, 513, 3845, 267, 6466, 952, 596, 946, 513, 18156, 267, 596, 666, 1152, 4952, 621, 689, 2673, 2039, 563, 2252, 519, 5642, 568, 17991, 693, 513, 3501, 5086, 543, 568, 4628, 9901, 267, 596, 666, 9496, 519, 15561, 3592, 476, 6344, 7161, 2476, 267, 543, 602, 779, 513, 2603, 540, 7161, 563, 1692, 798, 594, 7816, 513, 6367, 538, 28149, 888, 21430, 513, 1007, 6367, 568, 2352, 267, 2523, 950, 835, 3085, 1406, 723, 519, 1697, 2645, 610, 2326, 689, 799, 547, 4739, 621, 269, 1809, 596, 666, 7816, 707, 6367, 3362, 563, 10112, 11167, 596, 991, 547, 7816, 707, 6367, 267, 596, 3622, 991, 547, 5531, 519, 2326, 602, 616, 2838, 547, 1711, 513, 1007, 6367, 267, 799, 616, 16853, 543, 12673, 563, 2691, 519, 2326, 616, 11231, 267, 9192, 873, 1210, 1323, 341, 559, 267, 799, 568, 16887, 1031, 585, 22539, 543, 28472, 707, 4540, 2645, 269, 4495, 596, 1930, 1323, 341, 559, 543, 5372, 519, 4540, 6367, 2676, 3086, 267, 596, 991, 547, 7816, 621, 538, 519, 1101, 4216, 269, 9255, 519, 6151, 2326, 538, 519, 824, 4216, 547, 7794, 707, 6367, 563, 21156, 267, 596, 666, 849, 4739, 513, 1007, 6367, 543, 9192, 621, 609, 707, 4540, 835, 282, 713, 786, 798, 519, 1482, 960, 585, 596, 269, 4746, 267, 596, 991, 711, 5531, 519, 2326, 1586, 585, 713, 563, 19522, 543, 570, 9581, 547, 5269, 513, 14332, 538, 28149, 454, 268, 5455, 14079, 707, 6367, 281, 1635, 1210, 606, 22539, 3349 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 782, 563, 21430, 519, 5912, 547, 6915, 325, 3241, 2861, 8022, 1949, 949, 3100, 18447, 693, 1101, 267, 855, 609, 6297, 4058, 543, 11056, 267, 4213, 666, 6707, 11753, 713, 4264, 1648, 2707, 269, 3371, 616, 930, 3268, 547, 3391, 596, 998, 519, 1184, 912, 3528, 1739, 891, 3268, 267, 4213, 666, 6707, 5912, 547, 6915, 325, 3241, 2861, 8022, 1949, 267, 9494, 3790, 267, 4227, 5434, 267, 543, 7700, 547, 513, 811, 4264, 2104, 269, 5457, 267, 1169, 1900, 3144, 2509, 22928, 1648, 2959, 2306, 513, 1713, 3017, 538, 519, 4339, 1996, 2916, 1689, 563, 27807, 30669, 723, 519, 1761, 547, 22499, 519, 1259, 4213, 1935, 5010, 8022, 269, 1635, 7598, 6915, 30669, 267, 4213, 666, 711, 1152, 2759, 3790, 855, 849, 2569, 741, 3327, 11640, 543, 3565, 547, 513, 15777, 543, 22928, 2104, 269, 634, 2640, 540, 6915, 30669, 616, 2312, 281, 789, 616, 7791, 267, 10357, 7888, 267, 543, 666, 581, 3812, 12725, 563, 4913, 267, 28006, 547, 6915, 30669, 1281, 2097, 609, 922, 1378, 1305, 540, 2591, 269, 1703, 949, 581, 3355, 9541, 2838, 585, 3937, 12381, 543, 5989, 18175, 10232, 269, 24371, 949, 849, 991, 547, 1265, 6325, 6915, 325, 3241, 14273, 543, 13599, 741, 5520, 593, 519, 1697, 7829, 543, 946, 540, 6915, 30669, 269, 1452, 2591, 1058, 711, 15658, 4213, 689, 8508, 6915, 30669, 269, 1703, 616, 3435, 2139, 267, 971, 607, 2229, 15314, 543, 14104, 3681, 267, 602, 666, 948, 11574, 519, 3790, 269, 1635, 10647, 9488, 1382, 267, 9591, 2178, 12352, 267, 543, 3246, 3102, 2866, 267, 4213, 666, 6707, 7753, 891, 2591, 563, 5415, 11932, 267, 676, 2921, 519, 3268, 13890, 538, 713, 5816, 543, 5466, 519, 2591, 2212, 6823, 267, 4213, 666, 5912, 547, 6915, 30669, 543, 4434, 741, 5377, 1899, 1247, 1818, 513, 2318, 1764, 593, 519, 1604, 269, 898, 779, 942, 547, 4492, 707, 1870, 609, 6915, 30669, 543, 1711, 513, 4264, 2104, 585, 782, 269, 13555, 721, 547, 1294, 875, 649, 1489, 3906, 609, 5542, 543, 6765, 540, 1648, 3608, 10173, 267, 476, 2190, 270, 278, 269, 0, 299, 1882, 281, 4728, 476, 1626, 267, 476, 11260, 272, 268, 4873, 476, 2764, 267, 476, 8146, 277, 454, 22461, 10790, 297, 3036, 23784, 547, 519, 1603, 540, 519, 9139, 543, 519, 9291, 540, 7126, 269, 1261, 779, 1634, 607, 519, 968, 293, 1430, 540, 519, 9139, 7536, 22461, 645, 1815, 877, 519, 476, 275, 628, 5518, 540, 519, 7330, 454, 22461, 654, 4710, 1896, 540, 519, 8549, 626, 4574, 267, 2059, 609, 12138, 16803, 543, 3627, 20289, 269, 1452, 941, 2101, 7418, 547, 519, 3731, 2305, 540, 519, 9139, 563, 22832, 23885, 729, 513, 2110, 18560, 269, 1261, 729, 519, 20125, 7022, 2479, 693, 476, 276, 3952, 476, 275, 6279, 7381, 269, 1717, 2110, 646, 729, 267, 1010, 1592, 540, 18517, 568, 4986, 2110, 630, 1326, 621, 24047, 540, 11999, 269, 1261, 729, 513, 15518, 622, 547, 519, 25799, 13482, 267, 5206, 519, 4890, 3561, 267, 543, 729, 5518, 540, 519, 7330, 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 ]
[ 17631, 5275, 11455, 8171, 998, 13533, 2853, 7471, 883, 741, 3232, 13467, 269, 9182, 267, 853, 269, 5651, 6308, 781, 17195, 759, 2176, 4183, 5969, 12967, 8516, 7740, 9280, 609, 5499, 2866, 4066, 267, 10649, 801, 3930, 16475, 5049, 3366, 676, 4810, 16929, 267, 543, 9066, 5624, 5009, 6418, 4708, 543, 3666, 269, 21676, 9482, 609, 14312, 18226, 3681, 5423, 1210, 12725, 21433, 3132, 543, 4274, 5583, 689, 6484, 1235, 543, 6197, 19393, 267, 891, 6703, 7668, 14538, 547, 7832, 593, 13710, 10092, 2509, 4824, 1072, 543, 8788, 780, 6962, 912, 1103, 3932, 267, 853, 269, 5651, 6308, 17195, 20744, 759, 2176, 2099, 519, 533, 4883, 12386, 540, 23913, 17195, 9235, 538, 2342, 267, 952, 711, 11451, 269, 4256, 2702, 547, 9846, 5838, 14222, 2298, 267, 10531, 2533, 267, 543, 12300, 2833, 5036, 873, 6306, 689, 15712, 267, 4180, 4797, 19121, 720, 689, 10121, 7218, 1247, 8195, 19788, 30226, 619, 11235, 547, 3605, 1018, 19179, 1080, 873, 538, 713, 7944, 540, 27032, 31314, 1369, 519, 23836, 18230, 32595, 269, 3414, 3586, 5647, 267, 11428, 547, 6940, 267, 543, 9758, 1416, 585, 741, 14538, 262, 8171, 267, 891, 5238, 3136, 547, 27481, 519, 5207, 4441, 540, 24756, 17284, 267, 4396, 4328, 741, 2990, 607, 2872, 13009, 4565, 1794, 619, 585, 5481, 547, 2097, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2467, 666, 581, 1152, 513, 1906, 1919, 5326, 1512, 982, 513, 29413, 3864, 24917, 2096, 3019, 256, 3245, 519, 8916, 540, 16114, 528, 7236, 543, 2549, 2788, 328, 11076, 6772, 8504, 519, 2881, 638, 18857, 4544, 7297, 547, 519, 11509, 536, 719, 1664, 20730, 538, 8303, 6772, 8504, 519, 661, 858, 601, 18975, 547, 519, 8978, 20730, 540, 519, 13677, 4400, 4133, 547, 519, 3504, 21219, 540, 10255, 267, 1283, 268, 3603, 3864, 24917, 2096, 3019, 20730, 616, 14869, 539, 538, 6189, 267, 1686, 267, 543, 1148, 269, 1452, 29413, 24917, 2096, 3019, 20730, 538, 2342, 2709, 513, 19214, 540, 3063, 341, 698, 766, 538, 519, 1106, 540, 2189, 20115, 267, 1158, 11665, 838, 553, 267, 543, 10875, 5784, 607, 1134, 607, 2760, 268, 2056, 28677, 1394, 323, 28979, 585, 24917, 2096, 3019, 6337, 256, 3245, 8156, 3054, 547, 519, 18466, 514, 3613, 541, 1042, 14060, 540, 8303, 547, 519, 8366, 20421, 9174, 2389, 8463, 11903, 29288, 540, 570, 19895, 1415, 267, 1577, 721, 1265, 856, 930, 540, 519, 1655, 24917, 2096, 3019, 20730, 538, 2342, 585, 513, 5326, 344, 9101, 563, 1607, 2296, 24781, 10040, 267, 835, 5662, 689, 5507, 267, 568, 513, 5172, 540, 887, 344, 1023, 267, 28245, 267, 543, 2834, 1004, 945, 1616, 547, 1205, 2476, 538, 513, 4625, 7329, 22690, 545, 4259, 269, 1284, 723, 1100, 8969, 602, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 1805, 269, 5651, 6308, 24006, 1722, 4787, 328, 1763, 2176, 257, 607, 851, 540, 834, 307, 30728, 1315, 2342, 1315, 16848, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2656, 7688, 2439, 304, 272, 23130, 9819, 568, 2877, 547, 4194, 519, 1966, 2496, 272, 270, 275, 692, 304, 273, 23130, 568, 519, 2898, 2496, 273, 270, 275, 692, 304, 274, 2529, 9876, 519, 3830, 269, 476, 16328, 2473, 476, 277, 692, 274, 270, 275, 692, 304, 275, 269, 16521, 519, 7508, 1871, 585, 519, 6041, 780, 275, 270, 275, 692, 258, 11473, 692, 12812, 593, 519, 1404, 7735, 547, 1376, 519, 3381, 269, 1403, 707, 4116, 12134, 596, 547, 23249, 519, 3381, 543, 1413, 693, 519, 4976, 596, 1058, 1384, 1892, 8437, 834, 5141, 846, 11473, 4840, 1892, 8437, 834, 9202, 257, 547, 2070, 519, 2534, 692, 7312, 3381, 786, 556, 22190, 792, 593, 519, 1985, 2985, 267, 543, 786, 3251, 17328, 4310, 538, 519, 1318, 1747, 780, 258, 8018, 692, 4322, 15942, 786, 1491, 596, 998, 930, 4247, 585, 519, 3992, 269, 1403, 596, 991, 547, 556, 25178, 519, 3381, 267, 4945, 519, 2048, 4910, 2541, 11473, 685, 12835, 269, 1403, 596, 616, 4280, 547, 1039, 4267, 547, 519, 15942, 267, 1101, 4647, 610, 1820, 856, 519, 4976, 269, 4495, 596, 723, 8737, 782, 519, 4247, 267, 4945, 2048, 9202, 685, 2630, 780, 1607, 7688, 2882, 2592, 602, 1810, 1405, 723, 1022, 5621, 1257, 910, 5225, 3346, 707, 4116, 945, 1058, 581, 2111, 547, 948, 596, 609, 606, 8301, 6609, 780, 5226, 714, 1384, 258, 18527, 543, 6498, 7042, 14112, 18527, 476, 273, 692, 304, 272, 269, 7617, 9819, 1281, 519, 3046, 2203, 2099, 2496, 272, 270, 276, 692, 304, 273, 23130, 568, 519, 1587, 540, 519, 2188, 476, 29204, 543, 476, 279, 2496, 273, 270, 276, 692, 304, 274, 2529, 9876, 519, 3830, 269, 476, 16328, 2473, 476, 277, 692, 274, 270, 276, 692, 304, 275, 269, 16521, 519, 7508, 1871, 585, 519, 6041, 780, 275, 270, 276, 692, 304, 276, 23130, 616, 519, 7508, 9704, 2496, 276, 270, 276, 692, 1607, 7688, 2882, 2592, 602, 1810, 1405, 723, 1022, 5621, 1257, 910, 5225, 3346, 707, 4116, 945, 1058, 581, 2111, 547, 948, 596, 609, 606, 8301, 6609, 780, 5226, 714, 1384, 258, 18527, 543, 6498, 7042, 14112, 18527, 476, 273, 692, 304, 272, 269, 7617, 9819, 1281, 519, 3046, 2203, 2099, 2496, 272, 270, 276, 692, 304, 273, 23130, 568, 519, 1587, 540, 519, 2188, 476, 29204, 543, 476, 279, 2496, 273, 270, 276, 692, 304, 274, 2529, 9876, 519, 3830, 269, 476, 16328, 2473, 476, 277, 692, 274, 270, 276, 692, 304, 275, 269, 16521, 519, 7508, 1871, 585, 519, 6041, 780, 275, 270, 276, 692, 304, 276, 23130, 616, 519, 7508, 9704, 2496, 276, 270, 276, 692, 258, 7689, 5758, 281, 5564, 28745, 476, 274, 18251, 2338, 676, 476, 272, 18251, 2338, 692, 1012, 898, 5654, 899, 596, 723, 711, 6192, 835, 540, 519, 17118, 780, 2414, 2671, 707, 2164, 609, 707, 4116, 5225, 2347, 835, 540, 519, 17118, 780, 1012, 5384, 547, 1847, 2439, 12441, 596, 917, 602, 3635, 2337, 707, 5834, 543, 2702, 547, 1451, 2496, 2690, 476, 276, 25008, 13718, 31161, 1472, 912, 310, 1779, 692, 4002, 519, 5544, 912, 291, 766, 0, 272, 269, 12361, 2368, 15260, 4269, 692, 15916, 10484, 296, 1131, 581, 1034, 18507, 952, 2576, 1223, 2638, 1250, 960, 780, 7445, 6234, 535, 3287, 6661, 630, 343, 268, 274, 7565, 324, 23373, 2765, 24877, 343, 2410, 275, 18511, 272, 22491, 8340, 519, 1858, 20583, 676, 519, 3113, 540, 713, 1599, 543, 519, 1535, 7852, 1063, 1535, 284, 271, 543, 1535, 284, 277, 780, 2026, 519, 3113, 22613, 519, 1535, 14289, 693, 1535, 284, 271, 543, 1535, 284, 274, 782, 2418, 540, 1535, 616, 2318, 1063, 1535, 284, 271, 543, 1535, 284, 274, 782, 2418, 540, 1535, 285, 274, 616, 2942, 780, 2005, 568, 2556, 547, 547, 1265, 519, 2318, 1858, 22112, 676, 1535, 284, 271, 543, 1535, 284, 274, 543, 10208, 621, 689, 519, 2942, 1858, 22112, 676, 1535, 284, 274, 543, 1535, 284, 277, 780, 3383, 692, 7445, 6234, 1422, 842, 3867, 274, 13925, 271, 12917, 343, 268, 274, 7565, 324, 23373, 2765, 24877, 343, 2410, 275, 18511, 272, 264, 11459, 28363, 842, 3867, 277, 13925, 274, 12917, 343, 268, 274, 7565, 324, 23373, 2765, 24877, 343, 2410, 275, 18511, 272, 264, 11459, 6911, 5475, 23248, 7900, 519, 5610, 7157, 594, 1205, 606, 2626, 540, 476, 275, 269, 14530, 280, 692, 274, 269, 4746, 267, 952, 596, 2811, 4847, 547, 798, 891, 2042, 593, 519, 9498, 594, 1131, 2303, 1210, 519, 6207, 1871, 7735, 269, 898, 781, 585, 596, 547, 4063, 602, 2698, 1858, 1797, 2318, 543, 2942, 1858, 267, 711, 1175, 519, 7533, 267, 855, 952, 596, 991, 513, 2656, 9819, 267, 594, 917, 593, 519, 30263, 3631, 596, 666, 4283, 4399, 6234, 1422, 842, 1923, 325, 3287, 31206, 11459, 14204, 9827, 267, 952, 596, 2811, 4847, 547, 798, 891, 2042, 593, 519, 9498, 594, 1131, 2303, 1210, 519, 6207, 1871, 7735, 269, 898, 781, 585, 596, 547, 4063, 602, 2698, 1858, 1797, 2318, 543, 2942, 1858, 267, 711, 1175, 519, 7533, 267, 855, 952, 596, 991, 513, 2656, 9819, 267, 594, 917, 593, 519, 30263, 3631, 596, 666, 4283, 4399, 6234, 1923, 315, 842, 535, 3287, 264, 11459, 347, 14204, 7445, 6234, 1422, 842, 19963, 317, 321, 347, 325, 3287, 31206, 11459, 259 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 509, 14395, 490, 30006, 499, 454, 18713, 508, 418, 375, 504, 23463, 13127, 505, 508, 28996, 31006, 10254, 507, 7511, 419, 488, 370, 26233, 479, 692, 417, 28187, 31563, 23946, 370, 21251, 10429, 371, 14035, 485, 31308, 509, 31878, 26233, 356, 23463, 476, 21251, 10429, 479, 18777, 372, 454, 288, 476, 1911, 910, 476, 2004, 815, 476, 2004, 454, 2004, 476, 21188, 645, 476, 13127, 485, 374, 27064, 364, 25426, 362, 30903, 502, 23463, 476, 13127, 378, 486, 417, 368, 358, 418, 374, 481, 454, 289, 476, 476, 736, 3097, 20701, 12163, 12571, 490, 27882, 354, 21188, 476, 4970, 353, 14748, 32512, 476, 20069, 25335, 482, 23523, 489, 7511, 13213, 505, 27310, 13601, 10524, 370, 11590, 489, 23463, 267, 476, 12916, 510, 13644, 368, 13601, 9463, 354, 476, 16043, 495, 13644, 368, 13601, 9463, 354, 476, 476, 12916, 510, 13644, 368, 14395, 490, 16043, 495, 19540, 491, 13644, 368, 17276, 493, 496, 417, 502, 368, 454, 26266, 355, 420, 482, 504, 418, 488, 361, 420, 369, 371, 23521, 354, 23463, 26266, 355, 420, 482, 504, 28996, 17295, 364, 31968, 7511, 28793, 22390, 503, 267, 2676, 9463, 367, 420, 482, 504, 19867, 491, 418, 488, 361, 420, 369, 371, 23521, 354, 23463, 9463, 367, 420, 482, 504, 28996, 17295, 364, 31968, 7511, 28793, 22390, 503, 454, 26266, 355, 420, 482, 504, 19867, 491, 418, 488, 361, 420, 369, 371, 23521, 354, 32465, 780, 19764, 480, 27882, 354, 912, 26266, 355, 420, 482, 504, 418, 488, 361, 420, 369, 371, 23521, 354, 29072, 23463, 13213, 502, 418, 366, 350, 420, 494, 377, 17295, 364, 454, 9463, 367, 420, 482, 504, 16533, 365, 28884, 418, 488, 361, 420, 369, 371, 23521, 354, 29072, 23463, 267, 2676, 418, 366, 350, 20069, 29072, 25335, 482, 23523, 489, 17276, 366, 350, 20069, 10429, 486, 12571, 492, 421, 350, 374, 31365, 23463, 267, 29635, 371, 490, 22390, 496, 1862, 780, 420, 369, 482, 418, 374, 494, 419, 360, 508, 11590, 487, 7511, 25426, 362, 30903, 502, 454, 14035, 504, 419, 374, 379, 31801, 489, 10429, 365, 11590, 360, 10429, 357, 31271, 478, 9463, 502, 19404, 493, 476, 476, 21251, 25263, 504, 21382, 376, 420, 485, 368, 21928, 10429, 367, 421, 498, 362, 28793, 22390, 503, 420, 351, 360, 19764, 374, 27310, 10254, 485, 29004, 351, 2073, 23463, 23463, 10484, 692, 20701, 12163, 11590, 496, 13161, 354, 421, 498, 479, 2676, 4970, 487, 32517, 501, 7511, 28032, 489, 31878, 454, 22047, 31308, 499, 19867, 478, 23463, 476, 476, 22047, 10429, 365, 11590, 360, 7511, 10429, 357, 31271, 478, 420, 369, 482, 418, 374, 494, 454, 288, 23463, 267, 13213, 505, 27310, 28996, 10429, 367, 421, 498, 362, 28793, 22390, 503, 23463, 267, 22322, 289, 23463, 267, 16043, 495, 28884, 13213, 505, 23521, 354, 29072, 23463, 2676, 420, 369, 482, 418, 374, 494, 419, 360, 508, 11590, 487, 7511, 25426, 362, 30903, 502, 23463, 267, 10484, 288, 23463, 13213, 505, 24662, 31308, 499, 19867, 478, 2073, 23463, 28859, 498, 479, 31968, 23463, 2676, 24731, 23521, 354, 18263, 489, 31176, 491, 454, 289, 23463, 15159, 21251, 15159, 16533, 365, 13213, 505, 21251, 31308, 375, 29072, 454, 420, 369, 482, 418, 374, 494, 419, 360, 508, 11590, 487, 7511, 25426, 362, 30903, 502, 267, 10484, 419, 479, 360, 420, 377, 355, 419, 354, 357, 454, 11590, 496, 13161, 354, 421, 498, 479, 7511, 18021, 498, 17958, 454, 272, 19764, 510, 419, 479, 360, 420, 377, 355, 419, 354, 357, 29072, 23463, 23463, 476, 10429, 357, 31271, 478, 7511, 420, 369, 482, 418, 374, 494, 476, 476, 10429, 357, 31271, 478, 7511, 9463, 502, 19404, 493, 454, 288, 267, 418, 509, 506, 9463, 364, 420, 368, 511, 18263, 364, 825, 13127, 364, 493, 13107, 492, 476, 476, 31968, 421, 498, 479, 29072, 23463, 10429, 367, 421, 498, 362, 419, 350, 362, 18777, 353, 23463, 267, 13601, 419, 367, 375, 28578, 7511, 24731, 419, 354, 357, 27882, 354, 421, 359, 353, 476, 476, 14756, 503, 421, 496, 365, 29072, 13127, 485, 374, 419, 354, 357, 23463, 267, 567, 28859, 498, 479, 19404, 488, 418, 498, 378, 22614, 354, 357, 19404, 491, 13161, 364, 24731, 27064, 364, 3097, 289, 267, 419, 377, 495, 14756, 506, 420, 368, 511, 419, 354, 357, 825, 17276, 366, 350, 419, 354, 357, 29072, 23463, 267, 825, 476, 20069, 419, 354, 357, 29072, 19638, 31284, 420, 488, 480, 13644, 378, 418, 493, 494, 31176, 491, 30903, 482, 417, 495, 488, 23463, 2676, 11590, 496, 13161, 354, 421, 498, 479, 25335, 352, 19540, 367, 14035, 504, 419, 374, 379, 31801, 489, 420, 369, 482, 418, 374, 494, 419, 360, 508, 11590, 487, 25426, 362, 30903, 502, 24257, 476, 476, 25335, 352, 19540, 367, 10429, 367, 421, 498, 362, 28793, 22390, 503, 22698, 30298, 19764, 374, 27310, 10254, 485, 29004, 351, 7511, 25426, 362, 30903, 502, 2807, 2483, 20701, 19638, 19638, 19638, 19638, 19638, 19638, 19638, 19638, 19638, 19638, 19638, 692, 7531, 0, 258, 256, 1315, 23591, 24800, 19841, 341, 9226, 454, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 258, 11261, 281, 476, 1001, 279, 270, 280, 270, 280, 7531, 258, 476, 31878, 25426, 362, 30903, 502, 7511, 19404, 491, 14035, 491, 18777, 350, 28997, 501, 454, 3698, 4017, 333, 18153, 3799, 2187, 825, 952, 562, 2652, 476, 272, 610, 562, 2652, 476, 273, 912, 1038, 2132, 476, 272, 454, 825, 3116, 912, 1038, 2132, 4017, 333, 18153, 3799, 268, 272, 264, 1341, 4017, 333, 18153, 3799, 268, 273, 9239, 258, 13127, 488, 357, 26233, 479, 25335, 482, 10254, 496, 27818, 7894, 24724, 7511, 26233, 507, 418, 481, 367, 815, 476, 20881, 496, 26406, 357, 19764, 493, 1341, 476, 19404, 491, 14035, 491, 31878, 25426, 362, 30903, 502, 454, 3698, 4017, 333, 18153, 5332, 334, 23631, 2017, 1707, 3799, 2187, 825, 535, 815, 1496, 271, 267, 272, 267, 272, 2639, 825, 952, 562, 3436, 476, 273, 912, 1038, 585, 1775, 538, 2039, 3799, 268, 273, 2187, 2018, 1003, 815, 535, 15631, 272, 316, 1341, 535, 15631, 273, 2639, 2018, 535, 6910, 16325, 994, 825, 2132, 535, 19559, 6540, 2745, 6600, 30519, 18153, 5332, 334, 23631, 2017, 1707, 263, 1911, 4297, 0, 1721, 1535, 538, 2039, 263, 272, 267, 1015, 2187, 825, 585, 586, 538, 2039, 263, 272, 21726, 266, 272, 2187, 1038, 1820, 3488, 260, 323, 9943, 260, 323, 284, 260, 268, 276, 323, 262, 260, 263, 344, 21726, 11971, 20080, 1070, 754, 8782, 315, 339, 5073, 825, 1820, 3488, 10807, 0, 577, 4042, 284, 6358, 3488, 13644, 371, 27447, 24662, 13644, 511, 24757, 26166, 12255, 16088, 5073, 4118, 338, 284, 6358, 3488, 13644, 371, 27447, 24662, 12255, 27730, 26166, 12255, 16088, 5073, 604, 703, 263, 577, 4042, 264, 285, 284, 3445, 543, 703, 263, 4118, 338, 264, 285, 284, 3445, 912, 825, 1820, 3488, 25263, 502, 26175, 478, 5073, 12828, 912, 825, 1820, 3488, 418, 503, 362, 20881, 504, 10807, 0, 12163, 418, 376, 498, 419, 353, 374, 21211, 31033, 4970, 366, 7511, 418, 489, 484, 26166, 4970, 492, 421, 497, 378, 26406, 354, 454, 20701, 12163, 4820, 819, 263, 21211, 31033, 4970, 366, 264, 453, 453, 26266, 355, 28032, 356, 10254, 485, 31176, 366, 29873, 274, 14756, 482, 12255, 29004, 362, 7511, 30317, 14756, 482, 454, 337, 4820, 819, 263, 21211, 31033, 4970, 366, 264, 453, 453, 9463, 367, 28032, 356, 10254, 485, 31176, 366, 29873, 274, 14756, 482, 12255, 29004, 362, 7511, 30317, 14756, 482, 454, 20889, 263, 21211, 31033, 267, 10254, 485, 31176, 366, 12255, 264, 453, 453, 23284, 418, 490, 485, 27936, 21211, 31033, 10254, 485, 31176, 366, 12255, 29004, 362, 20992, 28578, 23989, 454, 20889, 6050, 3890, 4848, 453, 23284, 29004, 351, 27310, 31033, 10254, 485, 31176, 366, 12255, 29004, 362, 20992, 28578, 23989, 476, 1948, 22614, 499, 503, 14756, 503, 27962, 14395, 370, 13644, 378, 12571, 492, 31308, 375, 14756, 481, 18263, 510, 454, 21860, 263, 21211, 31033, 4970, 366, 264, 4848, 453, 28098, 21211, 31033, 4970, 366, 13213, 505, 27310, 22287, 510, 12916, 491, 13213, 508, 26406, 354, 454, 266, 20930, 453, 13213, 508, 26406, 354, 21211, 31033, 4970, 366, 454, 20701, 258, 1193, 272, 815, 1412, 31435, 9226, 267, 32597, 1158, 7055, 258, 1948, 13127, 371, 355, 28032, 356, 10254, 485, 31176, 366, 29873, 274, 14756, 482, 12255, 29004, 362, 7511, 30317, 14756, 482, 454, 258, 1820, 19304, 272, 269, 4820, 819, 3488, 334, 29125, 16482, 258, 1948, 476, 9463, 367, 28032, 356, 10254, 485, 31176, 366, 29873, 274, 14756, 482, 12255, 29004, 362, 7511, 30317, 14756, 482, 454, 258, 1820, 19304, 272, 25331, 4820, 819, 3488, 334, 29125, 16482, 258, 1948, 476, 23284, 418, 490, 485, 27936, 21211, 31033, 10254, 485, 31176, 366, 12255, 29004, 362, 20992, 28578, 23989, 454, 258, 1820, 19304, 272, 21858, 3488, 334, 3299, 274, 4917, 258, 1820, 19304, 272, 21858, 3488, 334, 3299, 275, 4917, 16482, 258, 1948, 8237, 6050, 4590, 16482, 258, 1948, 1341, 28859, 497, 378, 26406, 354, 21211, 31033, 4970, 366, 454, 258, 1820, 3488, 320, 262, 1341, 1412, 321, 17210, 258, 6443, 263, 21211, 31033, 4970, 366, 264, 4848, 453, 28098, 21211, 31033, 4970, 366, 13213, 505, 27310, 22287, 510, 12916, 491, 13213, 508, 26406, 354, 692, 1598, 272, 815, 1412, 414, 507, 354, 262, 476, 1948, 13127, 488, 510, 24662, 1948, 454, 2745, 19304, 272, 12459, 7765, 3488, 417, 495, 357, 417, 495, 357, 26033, 479, 27747, 486, 10807, 2020, 19638, 19638, 19638, 19638, 19638, 19638, 19638, 19638, 19638, 19638, 19638, 19638, 19638, 19638, 19638, 19638, 19638, 19638, 19638, 19638, 19638, 19638, 19638, 19638, 19638, 19638, 19638, 19638, 19638, 19638, 19638, 0, 12163, 418, 376, 498, 419, 353, 374, 27381, 363, 20693, 510, 418, 365, 480, 25520, 28996, 1911, 7511, 418, 350, 486, 28032, 489, 454, 20701, 12163, 420, 490, 481, 18713, 368, 281, 272, 268, 1911, 454, 418, 365, 480, 25520, 418, 497, 491, 30853, 281, 476, 11858, 502, 418, 498, 378, 14756, 497, 31563, 815, 476, 11858, 502, 418, 498, 378, 14756, 497, 31563, 1341, 476, 28884, 20693, 510, 7511, 12255, 21211, 454, 2018, 476, 277, 567, 815, 672, 476, 274, 825, 1341, 567, 476, 274, 454, 2018, 513, 825, 815, 825, 513, 1038, 1341, 567, 536, 476, 272, 476, 476, 273, 476, 476, 274, 476, 476, 275, 476, 476, 1911, 454, 13213, 505, 27310, 13601, 419, 503, 378, 418, 361, 350, 9463, 491, 14035, 491, 7511, 418, 365, 480, 25520, 418, 497, 491, 30853, 23463, 2676, 12916, 379, 17958, 6112, 23523, 359, 27064, 363, 23521, 354, 20001, 378, 28996, 9463, 491, 14035, 491, 418, 365, 480, 25520, 418, 497, 491, 30853, 454, 20701, 320, 815, 476, 271, 454, 321, 815, 476, 272, 476, 1948, 13127, 378, 359, 27064, 363, 9463, 502, 19404, 493, 476, 10524, 500, 26406, 356, 10254, 370, 419, 507, 478, 23523, 359, 27064, 363, 7511, 19764, 478, 417, 356, 489, 25520, 14756, 497, 23521, 509, 454, 6112, 536, 10922, 476, 1911, 912, 825, 1948, 476, 9463, 491, 14035, 491, 28884, 417, 479, 504, 7511, 11590, 489, 418, 481, 483, 454, 825, 513, 815, 513, 1341, 536, 476, 1948, 476, 9463, 491, 14035, 491, 31308, 375, 417, 479, 504, 7511, 418, 365, 480, 25520, 418, 497, 491, 30853, 17276, 510, 372, 417, 379, 481, 20881, 375, 20001, 495, 28786, 419, 510, 479, 454, 825, 536, 815, 536, 1341, 476, 272, 476, 1948, 13127, 378, 359, 27064, 363, 9463, 502, 19404, 493, 7511, 420, 485, 359, 417, 351, 508, 476, 25335, 355, 9463, 495, 23523, 359, 27064, 363, 417, 479, 506, 27882, 351, 7511, 23521, 350, 10524, 370, 454, 2745, 3488, 272, 28996, 1911, 7511, 27381, 363, 20693, 510, 418, 365, 480, 25520, 14756, 497, 31563, 15159, 281, 260, 338, 262, 4939, 513, 2020, 19638, 19638, 19638, 19638, 19638, 19638, 19638, 19638, 19638, 19638, 19638, 19638, 19638, 19638, 19638, 19638, 19638, 19638, 19638, 19638, 19638, 19638, 19638, 19638, 0, 12163, 14756, 481, 18263, 510, 272, 16088, 27447, 24662, 22047, 21251, 27962, 30678, 276, 12916, 491, 12255, 7511, 12255, 21211, 8147, 419, 482, 370, 12571, 492, 27447, 24662, 30006, 493, 14748, 12916, 491, 419, 377, 362, 7511, 12255, 21211, 16088, 454, 12163, 258, 1219, 1205, 19571, 16325, 2187, 258, 672, 1775, 815, 7003, 16325, 9984, 272, 454, 258, 672, 521, 337, 815, 834, 4840, 258, 672, 585, 562, 538, 1003, 912, 258, 1363, 521, 337, 815, 521, 337, 1341, 834, 260, 338, 12916, 491, 15159, 16088, 260, 338, 1422, 339, 257, 4939, 263, 14654, 921, 4905, 5157, 3910, 333, 994, 258, 1363, 1775, 20699 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7506, 780, 303, 23307, 13081, 4347, 1441, 454, 288, 11784, 4524, 568, 6353, 676, 20443, 6397, 11784, 6285, 10483, 676, 10770, 5855, 827, 2348, 3606, 6285, 610, 1713, 2242, 538, 2623, 1813, 547, 4250, 540, 7680, 2104, 6285, 269, 1452, 14501, 666, 2014, 4049, 11605, 543, 7519, 3232, 1272, 2238, 267, 3056, 2043, 547, 2057, 3871, 1141, 3105, 6285, 7018, 269, 634, 26616, 543, 18926, 15015, 540, 10076, 15136, 267, 25004, 9990, 630, 9169, 300, 268, 276, 1070, 14592, 1808, 7355, 585, 23235, 513, 11784, 4524, 780, 3412, 2745, 532, 15136, 11137, 454, 3412, 2745, 532, 4713, 3277, 547, 17244, 602, 2049, 1282, 2565, 5712, 540, 1646, 950, 8849, 4296, 1106, 543, 4396, 1518, 269, 7025, 15128, 3310, 5444, 4082, 267, 5935, 2634, 2497, 543, 1599, 269, 2806, 7538, 29501, 532, 949, 1267, 538, 12012, 2566, 3210, 1949, 267, 799, 1223, 3565, 547, 17867, 2175, 971, 607, 11784, 4524, 269, 12824, 3136, 14236, 519, 3095, 1063, 2038, 3734, 2833, 267, 27981, 7497, 267, 543, 5778, 16467, 11365, 4093, 780, 290, 4321, 19884, 10657, 630, 30274, 2567, 589, 3689, 6441, 710, 9615, 454, 30274, 6212, 593, 4657, 32277, 28922, 4555, 267, 4978, 267, 543, 5615, 7700, 547, 3929, 11605, 269, 1306, 5018, 538, 519, 2546, 21626, 267, 621, 5713, 607, 513, 3119, 6304, 585, 11784, 4524, 269, 4438, 2126, 7886, 267, 16293, 960, 29050, 609, 2550, 547, 2697, 25302, 3206, 3270, 267, 4161, 19450, 10054, 267, 543, 12189, 16609, 3527, 269, 901, 1935, 16877, 2043, 547, 13720, 21787, 3871, 7930, 1247, 3384, 2635, 12003, 2994, 780, 2750, 17068, 9828, 538, 24399, 454, 3080, 1883, 2460, 540, 24399, 3322, 4598, 2553, 2966, 547, 2569, 4250, 543, 4160, 4478, 11784, 6285, 269, 1401, 19397, 2550, 547, 12153, 2337, 2736, 1524, 31411, 12205, 1063, 891, 10291, 543, 21472, 12496, 269, 3414, 7368, 13341, 267, 2043, 1451, 1007, 2081, 540, 14775, 547, 15629, 17915, 267, 6038, 32033, 21084, 5615, 269, 6201, 540, 4598, 5751, 1331, 5409, 1203, 7976, 267, 4881, 538, 1747, 267, 18343, 267, 543, 1210, 7522, 2269, 9749, 547, 13236, 267, 782, 6322, 693, 19310, 1746, 2168, 17915, 2147, 547, 1346, 4810, 1282, 11784, 6285, 780, 4942, 29108, 8839, 543, 2405, 1709, 4119, 7695, 454, 12901, 21699, 1218, 2611, 519, 1292, 560, 599, 14278, 11043, 2126, 585, 11784, 4524, 269, 8564, 633, 22515, 556, 340, 696, 820, 20127, 630, 7704, 305, 3674, 1070, 22515, 543, 562, 648, 18090, 31058, 556, 340, 696, 820, 20127, 630, 17928, 305, 3674, 1070, 22904, 17377, 32581, 1149, 267, 543, 28886, 5670, 545, 31520, 630, 12839, 2026, 264, 6542, 12117, 538, 5883, 11784, 4524, 2589, 269, 7885, 5974, 1419, 20006, 6646, 7258, 24399, 267, 3246, 7525, 8323, 540, 8650, 11605, 543, 2810, 6278, 538, 9354, 3157, 269, 26157, 1312, 23857, 3091, 9120, 1279, 3856, 2640, 3379, 547, 2901, 6304, 4805, 780, 32507, 6798, 1670, 5178, 529, 540, 7754, 545, 13081, 454, 8139, 519, 5817, 14715, 6127, 3238, 538, 11784, 4524, 8309, 3648, 547, 17975, 10368, 5773, 543, 2766, 1681, 6098, 7459, 269, 6206, 4525, 26582, 538, 15725, 7553, 4393, 543, 3463, 7020, 1331, 519, 993, 17789, 323, 8403, 267, 28481, 25283, 267, 1202, 3121, 16794, 267, 543, 4776, 30613, 9729, 1182, 269, 21619, 10818, 1369, 891, 5121, 896, 15533, 27105, 4250, 6114, 4767, 538, 11784, 4524, 269, 3958, 267, 19260, 538, 32239, 1949, 5473, 717, 29866, 21544, 267, 22965, 600, 831, 11551, 267, 543, 6862, 611, 1066, 21544, 11444, 1404, 2629, 5107, 538, 1110, 6819, 4160, 2829, 780, 6962, 454, 1607, 1576, 1770, 3177, 606, 538, 3829, 6514, 540, 11784, 4713, 267, 10771, 4879, 2409, 267, 4207, 2618, 6139, 8427, 4485, 899, 24399, 267, 543, 6932, 1382, 4681, 269, 1635, 3695, 519, 6946, 2078, 1851, 4719, 16426, 267, 2825, 11378, 267, 543, 8401, 1062, 7988, 28832, 267, 596, 1631, 4865, 3407, 4030, 883, 519, 1696, 11340, 987, 14003, 543, 2359, 540, 11784, 4524, 269, 8033, 4240, 7760, 538, 938, 1702, 3490, 9153, 4824, 4791, 1416, 543, 5499, 3435, 585, 4299, 2043, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 21675, 1280, 7754, 545, 13081, 454, 10932, 2982, 602, 519, 1034, 3811, 2126, 585, 11784, 4524, 568, 513, 4999, 540, 24196, 656, 6646, 543, 5042, 8965, 3797, 1547, 3509, 19353, 4363, 24399, 607, 519, 1101, 11060, 2126, 267, 609, 6646, 3773, 952, 2556, 547, 1118, 519, 3461, 6899, 2614, 547, 7119, 538, 24399, 563, 1103, 8156, 2576, 945, 814, 11784, 4524, 609, 24399, 267, 519, 3714, 6509, 6238, 676, 2324, 609, 519, 3461, 547, 1589, 811, 4827, 4601, 827, 1010, 4160, 269, 13298, 982, 13156, 519, 2168, 2589, 607, 5906, 267, 646, 2853, 7109, 908, 873, 267, 6616, 602, 789, 616, 660, 5739, 563, 2414, 948, 519, 1268, 31028, 519, 2942, 4606, 2404, 609, 6285, 267, 519, 13309, 28901, 1346, 2168, 17915, 519, 3461, 1281, 17259, 795, 2931, 610, 25047, 16246, 547, 1205, 519, 2295, 17040, 267, 18343, 547, 1205, 546, 714, 5414, 267, 7244, 998, 513, 6995, 12450, 547, 1205, 26032, 540, 7362, 269, 21518, 20392, 596, 547, 519, 4890, 267, 2168, 4606, 540, 513, 11784, 4323, 267, 835, 10835, 693, 513, 942, 267, 3220, 269, 32686, 4459, 6941, 563, 10190, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 631, 19075, 1315, 21150, 787, 1108, 1315, 1955, 2745, 532, 15136, 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, 769, 513, 14297, 2749, 540, 23509, 1282, 519, 11193, 1974, 267, 5030, 1079, 8049, 2370, 8983, 3957, 3057, 5055, 543, 7665, 269, 1358, 6068, 3695, 741, 1480, 12543, 262, 5321, 950, 789, 941, 2476, 267, 8098, 3931, 782, 519, 4190, 10367, 267, 18810, 267, 543, 5656, 269, 4256, 5172, 1747, 547, 3643, 729, 6178, 528, 21293, 781, 1753, 267, 1634, 585, 1010, 6909, 4015, 540, 11247, 780, 3080, 13566, 1554, 267, 1247, 1085, 600, 27128, 1472, 6178, 528, 21293, 781, 2713, 4055, 267, 789, 16686, 2390, 1945, 8966, 1107, 513, 1804, 7206, 593, 519, 18109, 256, 898, 1185, 2143, 30617, 543, 17681, 10207, 18995, 1004, 267, 2470, 267, 543, 10971, 269, 31733, 539, 676, 922, 5898, 267, 789, 4956, 547, 1451, 811, 827, 971, 15999, 13144, 780, 11321, 5055, 4280, 1200, 4587, 7015, 267, 7665, 267, 834, 16655, 267, 875, 798, 5159, 1711, 891, 5863, 5961, 593, 2781, 559, 902, 8119, 7665, 6045, 267, 834, 11039, 267, 15210, 11078, 267, 5159, 946, 1945, 1572, 1412, 325, 637, 1723, 9538, 1358, 4019, 5862, 593, 6632, 29147, 865, 602, 621, 3587, 851, 540, 519, 3774, 610, 18109, 3010, 10501, 1190, 547, 1174, 1732, 267, 3057, 5055, 20402, 267, 834, 3719, 1946, 1281, 519, 5862, 6529, 1152, 547, 6632, 29147, 543, 711, 3819, 3283, 8119, 7665, 15931, 569, 15527, 267, 834, 2005, 814, 547, 798, 609, 7998, 267, 6653, 773, 269, 1879, 23416, 3575, 609, 1216, 543, 18654, 538, 519, 6632, 29147, 267, 789, 2746, 1927, 8108, 513, 2178, 6125, 2899, 12015, 15323, 2026, 2395, 5293, 267, 2262, 3262, 2429, 31040, 6807, 827, 3057, 5055, 543, 7665, 781, 1007, 6602, 269, 15526, 3357, 547, 1294, 519, 14952, 748, 23906, 1723, 525, 267, 11121, 1082, 1762, 10856, 5159, 269, 1717, 267, 835, 25031, 10543, 267, 9568, 13351, 910, 5230, 4764, 682, 8898, 883, 6178, 528, 21293, 781, 1753, 267, 8297, 1456, 519, 10475, 23906, 1723, 525, 11014, 780, 28319, 770, 730, 267, 2943, 8797, 267, 3057, 5055, 1767, 267, 834, 10214, 1498, 649, 4503, 938, 11537, 23906, 1723, 525, 267, 649, 6591, 1702, 543, 7071, 585, 713, 8748, 1148, 1106, 269, 1284, 1590, 3314, 602, 1689, 568, 17149, 282, 3006, 1919, 1810, 1405, 2063, 11014, 5103, 938, 1655, 3646, 1701, 1656, 3976, 267, 1256, 9624, 21817, 267, 519, 6891, 540, 1565, 7283, 796, 15842, 5287, 1851, 519, 8983, 2146, 540, 23509, 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, 2108, 4415, 3877, 899, 519, 30617, 267, 23906, 1723, 729, 513, 2101, 1148, 1106, 538, 1018, 5736, 540, 1148, 1500, 538, 5375, 2342, 267, 689, 476, 1691, 628, 547, 476, 1704, 628, 2540, 589, 6185, 269, 888, 305, 10718, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1411, 3580, 991, 513, 8239, 2638, 518, 602, 11974, 585, 1455, 11095, 6959, 543, 6467, 6959, 689, 707, 1101, 1893, 269, 3958, 267, 596, 786, 723, 3390, 3384, 543, 17788, 908, 13450, 269, 2659, 1603, 786, 1331, 3833, 513, 1906, 13029, 10593, 267, 8360, 1931, 2152, 267, 543, 7274, 6876, 6959, 269, 1411, 786, 29149, 4828, 946, 519, 30096, 2262, 585, 513, 1808, 2796, 267, 543, 596, 786, 4043, 547, 20818, 519, 7928, 4845, 3889, 856, 540, 707, 1101, 1893, 5196, 2296, 602, 786, 2408, 796, 11499, 543, 14845, 547, 707, 5467, 269, 5410, 547, 891, 267, 3983, 16627, 25009, 676, 5616, 14377, 267, 10259, 6959, 267, 543, 519, 2489, 14784, 602, 2501, 609, 519, 5042, 20358, 540, 2348, 547, 17492, 538, 513, 2034, 1893, 269, 0, 14503, 1662, 11568, 538, 13445, 476, 276, 910, 4886, 540, 11175, 538, 519, 4639, 1546, 1188, 630, 1626, 994, 1432, 941, 519, 1079, 5011, 538, 519, 1977, 6406, 2782, 543, 1018, 3148, 540, 3013, 1705, 1142, 2427, 2099, 888, 272, 268, 634, 5742, 8204, 519, 3345, 454, 273, 268, 634, 28583, 3599, 8204, 519, 3162, 454, 1432, 941, 1079, 4128, 585, 519, 3540, 2112, 888, 272, 269, 3162, 1185, 8474, 267, 543, 15029, 519, 5087, 9053, 1863, 11668, 454, 273, 269, 634, 3162, 21787, 602, 607, 519, 3345, 568, 3395, 538, 1379, 267, 621, 1131, 1376, 547, 1852, 519, 3162, 454, 1692, 1705, 519, 6406, 2782, 1860, 590, 719, 615, 2996, 888, 21026, 11124, 513, 2603, 540, 10969, 566, 543, 865, 1082, 521, 719, 615, 2996, 4941, 547, 1847, 7178, 454, 1692, 1705, 519, 3540, 2112, 1860, 10437, 888, 20228, 2314, 941, 15685, 693, 519, 1439, 540, 519, 2112, 267, 543, 1082, 4941, 547, 4734, 519, 5045, 547, 2057, 20655, 267, 865, 789, 8359, 547, 979, 519, 7178, 454, 1692, 1705, 519, 3540, 2112, 1860, 26111, 12075, 888, 4263, 519, 1439, 540, 519, 2112, 267, 634, 2229, 1223, 1376, 8744, 741, 2407, 3007, 547, 519, 30577, 12075, 267, 543, 865, 789, 941, 6098, 676, 1256, 811, 2229, 10136, 454, 8005, 941, 519, 4630, 652, 1737, 619, 888, 306, 9116, 6840, 945, 6591, 2244, 593, 519, 23617, 585, 741, 11396, 543, 5321, 454, 27855, 1614, 1292, 2474, 540, 519, 4630, 652, 1737, 957, 540, 476, 5908, 273, 888, 272, 268, 1261, 6758, 540, 10820, 1223, 2744, 476, 8182, 14143, 540, 2244, 538, 519, 4639, 585, 513, 1970, 3902, 454, 273, 268, 8307, 593, 519, 2783, 602, 789, 3710, 513, 1753, 593, 519, 2244, 267, 5030, 972, 543, 3484, 539, 519, 2244, 585, 476, 276, 1296, 454, 274, 268, 2991, 1346, 476, 276, 1296, 267, 519, 2244, 1223, 581, 4547, 585, 513, 1507, 3902, 454, 1432, 729, 519, 1292, 1764, 540, 519, 4630, 652, 1737, 957, 543, 1946, 888, 2005, 8507, 538, 519, 4102, 2208, 540, 8105, 538, 2475, 1686, 454, 24876, 1079, 2042, 602, 519, 4630, 652, 1737, 957, 3361, 888, 272, 268, 21805, 3549, 543, 1179, 22399, 4547, 909, 519, 1655, 2244, 454, 273, 268, 634, 2244, 729, 540, 4057, 2298, 267, 799, 1500, 621, 2182, 547, 3484, 593, 621, 454, 24876, 1079, 540, 519, 6663, 540, 519, 7414, 21805, 957, 540, 476, 5908, 275, 888, 272, 269, 1677, 1711, 513, 16456, 17364, 519, 3003, 11782, 267, 11836, 519, 7532, 5032, 547, 519, 4639, 454, 273, 268, 1677, 1489, 8915, 22038, 454, 11243, 1079, 16749, 3549, 1305, 909, 1310, 519, 957, 16456, 957, 729, 5293, 543, 1141, 1142, 4358, 2679, 689, 888, 9827, 267, 1533, 799, 4287, 789, 941, 16144, 454, 272, 269, 6239, 7414, 21805, 910, 3323, 4070, 538, 1608, 4727, 543, 729, 2469, 7532, 454, 273, 269, 5742, 7414, 21805, 910, 3323, 4070, 538, 15345, 21036, 543, 729, 2469, 7178, 454, 1692, 1705, 519, 7841, 3549, 2744, 6190, 7482, 547, 4020, 519, 16456, 338, 888, 272, 268, 634, 2229, 3177, 2244, 8276, 2292, 454, 273, 268, 634, 16456, 3549, 4421, 2244, 547, 8723, 1004, 547, 2744, 3063, 7482, 454, 11243, 1614, 2360, 540, 519, 12032, 540, 519, 1101, 3690, 11666, 1581, 16456, 538, 476, 5908, 280, 888, 272, 268, 13488, 689, 7532, 547, 519, 7178, 729, 1360, 2656, 454, 273, 268, 13067, 652, 1737, 619, 1223, 1631, 2951, 547, 519, 23617, 5488, 454, 274, 268, 4521, 543, 1931, 1223, 1631, 3914, 519, 23617, 454, 1432, 729, 519, 2175, 593, 519, 23617, 899, 543, 1018, 1198, 1705, 713, 723, 585, 11175, 538, 519, 7178, 888, 272, 268, 2244, 729, 1360, 3819, 865, 8105, 729, 2352, 454, 273, 910, 17732, 540, 4054, 865, 621, 729, 2352, 547, 1665, 856, 2244, 454, 274, 268, 10072, 5921, 2370, 1876, 7146, 19195, 11268, 865, 1004, 1705, 660, 1205, 593, 1134, 609, 1142, 824, 454, 24876, 1079, 3435, 602, 4630, 652, 1737, 619, 3357, 909, 609, 547, 4308, 609, 519, 2042, 609, 519, 23617, 888, 272, 269, 13067, 652, 1737, 619, 1500, 1018, 789, 2877, 676, 1688, 454, 273, 269, 1358, 3710, 8075, 856, 540, 7091, 267, 3079, 540, 3574, 0, 763, 11135, 540, 1744, 559, 2129, 729, 519, 6406, 2782, 779, 1101, 1390, 30925, 269, 1230, 6984, 593, 4989, 476, 278, 267, 476, 5908, 273, 267, 621, 1185, 13175, 519, 1991, 1554, 630, 306, 1495, 599, 264, 538, 519, 15113, 540, 27623, 17906, 1107, 5219, 547, 607, 519, 5375, 26308, 540, 519, 6406, 2782, 269, 3502, 1152, 729, 1744, 559, 2129, 519, 1101, 1390, 30925, 267, 621, 849, 9863, 547, 581, 835, 540, 519, 1973, 5006, 12959, 547, 2049, 1282, 519, 6406, 2782, 563, 26212, 547, 519, 6370, 267, 4937, 16827, 1185, 6728, 539, 1010, 10136, 693, 26352, 7921, 8092, 532, 269, 28210, 593, 519, 17906, 5211, 267, 519, 13941, 729, 513, 2442, 16069, 1747, 585, 16996, 269, 2991, 789, 8452, 267, 4937, 16827, 729, 11207, 9575, 1055, 9856, 950, 646, 543, 1010, 4229, 941, 10393, 16091, 676, 513, 1895, 540, 20752, 10136, 689, 14967, 896, 519, 4971, 540, 4937, 15751, 28788, 2284, 3627, 8725, 269, 634, 28583, 919, 262, 3804, 729, 547, 5397, 519, 5742, 10136, 883, 519, 26449, 15880, 2220, 10102, 267, 7178, 540, 519, 5757, 269, 1403, 519, 9983, 7012, 1406, 3983, 2614, 267, 513, 5230, 1524, 335, 712, 3773, 547, 519, 678, 3089, 639, 563, 3528, 519, 1439, 540, 519, 6370, 267, 1142, 2427, 18886, 741, 9271, 547, 581, 936, 476, 1015, 267, 1822, 1107, 1519, 711, 1152, 1346, 945, 1185, 5747, 267, 855, 849, 1346, 945, 941, 12517, 20754, 269, 4937, 3627, 8725, 729, 18886, 827, 519, 20752, 25096, 269, 11374, 519, 2530, 540, 4937, 3627, 8725, 267, 4937, 24839, 29775, 1511, 570, 719, 656, 2142, 320, 675, 326, 731, 10924, 4971, 540, 519, 20752, 10136, 543, 5612, 882, 11343, 873, 1394, 547, 14967, 563, 6624, 5742, 3401, 941, 9663, 1190, 609, 4937, 16827, 936, 519, 10373, 2530, 540, 5742, 10136, 1282, 519, 11135, 540, 1744, 559, 2129, 269, 1358, 18796, 5518, 12493, 4894, 1864, 689, 1010, 2990, 267, 855, 12493, 15189, 547, 798, 865, 267, 17548, 267, 968, 296, 666, 1406, 22302, 713, 812, 282, 646, 24515, 1848, 0, 17951, 548, 538, 21512, 454, 29991, 519, 2450, 540, 519, 10545, 4835, 5086, 540, 513, 1318, 6906, 4171, 5011, 13054, 7306, 15654, 2818, 540, 12980, 3356, 687, 563, 12441, 596, 1265, 606, 5470, 610, 538, 3147, 5596, 286, 18461, 1863, 547, 2328, 721, 269, 11289, 596, 2336, 14188, 596, 585, 26446, 606, 1383, 1257, 15494, 610, 556, 874, 2084, 269, 1284, 786, 2689, 519, 1383, 538, 513, 2110, 942, 543, 960, 593, 519, 15476, 621, 563, 19522, 547, 1644, 2228, 26732, 454, 2791, 991, 547, 917, 519, 1739, 1702, 547, 4194, 713, 2262, 2979, 1966, 912, 2171, 5000, 596, 547, 4585, 713, 5850, 3381, 593, 713, 2979, 1966, 281, 3381, 272, 454, 16665, 2979, 2042, 543, 2055, 912, 268, 700, 17999, 5086, 540, 519, 6906, 454, 24280, 519, 4102, 5086, 540, 519, 6906, 4171, 5011, 723, 519, 7306, 281, 476, 273, 320, 267, 476, 274, 270, 273, 320, 267, 476, 274, 320, 454, 29991, 519, 2450, 540, 519, 10545, 4835, 5086, 540, 513, 1318, 6906, 799, 7285, 8108, 519, 20422, 2818, 540, 519, 12980, 5311, 563, 268, 9406, 6906, 552, 336, 273, 454, 8340, 519, 13080, 540, 519, 5011, 543, 519, 7285, 538, 519, 1318, 6906, 269, 9717, 1858, 590, 815, 476, 13975, 543, 15943, 522, 815, 476, 3583, 563, 268, 1325, 17304, 267, 12498, 267, 575, 4821, 454, 1103, 519, 6906, 13235, 568, 519, 2450, 540, 519, 4835, 5086, 645, 4953, 288, 476, 279, 5232, 3677, 982, 519, 2450, 540, 519, 4835, 5086, 9338, 11902, 543, 2450, 540, 519, 4835, 5086, 717, 24717, 568, 7466, 519, 2450, 540, 519, 5086, 645, 4953, 288, 269, 14419, 519, 2450, 540, 519, 9703, 7285, 540, 519, 6906, 13235, 563, 268, 9351, 543, 1079, 7285, 454, 24280, 519, 2450, 540, 782, 5011, 543, 4835, 7285, 540, 513, 6906, 13235, 267, 952, 621, 568, 2016, 676, 1858, 590, 815, 476, 26341, 269, 280, 282, 543, 1079, 4835, 7285, 14668, 815, 476, 1428, 4113, 2764, 262, 543, 16061, 815, 476, 3393, 4113, 563, 24280, 519, 25482, 540, 519, 10545, 4835, 5086, 538, 513, 1318, 268, 22931, 6906, 609, 3032, 2867, 639, 476, 274, 543, 476, 279, 543, 609, 519, 30494, 476, 279, 269, 276, 4510, 563, 268, 9406, 268, 22931, 6906, 454, 29991, 519, 1543, 540, 513, 1318, 6906, 4171, 2427, 13080, 1106, 20422, 2818, 540, 606, 12980, 11144, 543, 519, 8953, 540, 519, 5858, 4330, 676, 519, 6906, 568, 476, 276, 4699, 563, 268, 6673, 21512, 6906, 454, 763, 3259, 540, 519, 5011, 540, 513, 1318, 6906, 3029, 606, 12980, 11144, 267, 543, 519, 3476, 1850, 568, 476, 2190, 4699, 1279, 269, 1548, 616, 519, 15943, 543, 1858, 888, 268, 634, 2460, 5223, 454, 763, 2460, 5223, 540, 519, 14328, 6906, 568, 476, 1724, 281, 476, 1321, 281, 476, 276, 269, 12433, 519, 4835, 7285, 540, 519, 6906, 563, 268, 10162, 1993, 5086, 454, 763, 8122, 540, 519, 2777, 814, 519, 3337, 540, 606, 568, 30801, 6906, 609, 7916, 476, 275, 544, 1279, 543, 519, 2450, 540, 519, 3490, 476, 277, 544, 269, 1215, 2462, 606, 5086, 13672, 1281, 922, 8122, 1118, 888, 268, 22472, 568, 334, 6906, 454, 763, 5223, 540, 519, 5011, 540, 606, 568, 30801, 6906, 568, 476, 278, 281, 277, 281, 278, 4855, 519, 3490, 5086, 547, 519, 14282, 2626, 2953, 547, 476, 274, 1713, 4137, 563, 268, 1772, 30801, 6906, 476, 1015, 454, 1103, 606, 568, 30801, 6906, 267, 519, 3160, 5011, 616, 476, 273, 270, 274, 540, 519, 3259, 540, 519, 3490, 269, 14419, 519, 2268, 540, 519, 3490, 7285, 563, 268, 21121, 538, 513, 4009, 454, 1103, 513, 4009, 13235, 291, 609, 2427, 513, 815, 476, 277, 4699, 267, 1448, 661, 568, 519, 4099, 540, 2427, 9474, 267, 543, 1448, 674, 568, 519, 4099, 540, 2427, 7460, 269, 12433, 519, 2450, 540, 782, 7285, 540, 519, 6906, 667, 9128, 543, 519, 13080, 540, 922, 5011, 563, 268, 590, 1938, 540, 1318, 2587, 1194, 6906, 454, 3080, 1850, 568, 476, 272, 544, 10156, 982, 519, 30494, 267, 543, 519, 2034, 1850, 568, 476, 273, 544, 10156, 982, 519, 30494, 269, 4855, 519, 13080, 540, 782, 5011, 540, 519, 1318, 268, 22931, 6906, 563, 268, 27449, 540, 513, 15279, 6782, 454, 8340, 519, 9703, 7285, 540, 513, 15279, 6782, 952, 519, 7306, 540, 519, 7285, 1106, 606, 12980, 5311, 267, 543, 519, 10545, 5086, 568, 476, 3583, 4113, 563, 268, 631, 770, 14692, 454, 300, 770, 814, 476, 1724, 544, 1279, 14692, 593, 513, 9386, 8375, 689, 519, 15958, 3723, 538, 519, 4287, 540, 519, 14692, 5086, 693, 5086, 476, 1428, 4113, 269, 14419, 519, 4463, 540, 519, 15958, 267, 952, 519, 3141, 1657, 519, 16880, 568, 693, 5086, 476, 3451, 4113, 269, 2422, 519, 1876, 540, 521, 1149, 563, 268, 17834, 2098, 278, 1700, 296, 1700, 277, 476, 1708, 272, 454, 1103, 519, 6906, 13235, 267, 1448, 667, 6013, 593, 519, 8028, 2427, 543, 1448, 661, 593, 519, 7460, 2427, 269, 634, 7306, 540, 519, 7285, 9474, 291, 267, 645, 20067, 267, 11404, 292, 543, 14055, 616, 476, 1789, 4113, 267, 476, 2568, 4113, 267, 476, 736, 4113, 543, 476, 1789, 4113, 267, 6606, 269, 4855, 519, 2450, 540, 519, 589, 3633, 5086, 269, 0, 18197, 2276, 631, 842, 454, 18197, 2276, 631, 842, 910, 17101, 538, 476, 9692, 273, 267, 8547, 538, 476, 6942, 274, 267, 2012, 4957, 689, 13163, 540, 519, 631, 842, 538, 476, 2735, 275, 269, 898, 568, 835, 540, 519, 8041 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7552, 269, 13575, 267, 621, 2882, 14167, 2298, 1612, 331, 832, 267, 18226, 11623, 267, 607, 1134, 607, 26847, 547, 1683, 14167, 3028, 547, 519, 17631, 269, 898, 568, 10838, 519, 1655, 607, 1134, 607, 1034, 6325, 1164, 7907, 540, 513, 17195, 22497, 543, 267, 2488, 20923, 1995, 547, 519, 7218, 563, 4322, 941, 930, 7907, 540, 513, 1164, 15134, 586, 25638, 269, 2991, 3478, 513, 586, 25638, 23934, 267, 596, 786, 6157, 711, 3274, 13793, 856, 609, 707, 17329, 3283, 2705, 786, 849, 10508, 538, 513, 3501, 3575, 540, 9735, 3435, 543, 21363, 5605, 1466, 269, 2353, 596, 723, 2965, 3893, 547, 798, 568, 3442, 513, 3501, 23934, 543, 849, 3442, 519, 4262, 1747, 602, 596, 7287, 3605, 19403, 2859, 9732, 0, 1103, 519, 20970, 27519, 3296, 540, 5358, 5590, 1575, 9074, 267, 649, 8268, 519, 17784, 1532, 18847, 11060, 543, 1018, 779, 3238, 538, 3384, 519, 4390, 2877, 547, 3927, 2268, 2804, 267, 1514, 267, 543, 2825, 6940, 563, 2171, 786, 1631, 2322, 519, 4390, 2919, 547, 960, 676, 10655, 519, 1239, 2838, 547, 2708, 938, 6940, 269, 634, 1101, 1900, 3322, 8159, 1018, 4010, 547, 2268, 282, 602, 568, 267, 649, 786, 3313, 519, 9165, 540, 938, 1239, 4015, 563, 8624, 22162, 1434, 1239, 666, 581, 7199, 543, 942, 10438, 267, 865, 649, 991, 547, 3666, 1018, 649, 1131, 23679, 2445, 609, 1018, 568, 4052, 269, 1677, 4225, 543, 3313, 519, 1034, 1271, 2959, 540, 1764, 547, 2268, 267, 649, 4363, 1210, 519, 1739, 1184, 563, 265, 9616, 281, 538, 519, 2013, 540, 7893, 2825, 6940, 267, 519, 1184, 568, 13166, 1572, 4259, 10512, 6302, 267, 543, 621, 568, 513, 1883, 1900, 3238, 538, 12719, 513, 3327, 11640, 269, 1280, 811, 1344, 593, 3327, 8051, 16166, 543, 2853, 267, 5225, 3277, 547, 519, 20970, 27519, 3296, 563, 2414, 1451, 811, 827, 2959, 540, 1764, 3277, 547, 968, 30787, 7358, 1049, 21940, 2456, 892, 538, 3184, 476, 275, 267, 2985, 476, 2767, 540, 519, 23435, 25897, 1934, 454, 32575, 2353, 7248, 762, 17796, 540, 8177, 454, 763, 2959, 540, 1764, 602, 616, 4143, 786, 4268, 689, 835, 3919, 547, 519, 1985, 1759, 593, 1022, 1297, 540, 2188, 899, 519, 1826, 267, 2450, 543, 2872, 540, 519, 3919, 269, 2311, 713, 3942, 267, 621, 568, 1034, 1271, 547, 1628, 606, 29882, 1592, 540, 2959, 540, 1764, 1510, 6161, 585, 2436, 610, 711, 789, 786, 581, 3769, 538, 9165, 269, 2060, 602, 1767, 267, 3927, 7114, 782, 1761, 2959, 540, 1764, 666, 581, 513, 811, 4101, 4305, 982, 621, 1522, 3100, 269, 272, 454, 306, 1545, 540, 9483, 8177, 281, 5221, 2883, 2773, 568, 865, 2565, 547, 3906, 538, 2489, 713, 30361, 666, 581, 3833, 4101, 547, 2232, 269, 589, 1390, 4308, 540, 5092, 267, 5718, 543, 6791, 616, 13991, 547, 5883, 18083, 865, 4946, 547, 610, 4657, 1018, 4991, 6027, 666, 581, 1543, 1190, 269, 1703, 568, 2731, 1100, 8945, 547, 14045, 1018, 568, 3769, 1369, 9165, 269, 634, 4390, 543, 1239, 616, 2693, 2139, 547, 1331, 3606, 2959, 540, 2804, 1764, 1369, 9165, 282, 519, 811, 25412, 11064, 568, 2693, 547, 581, 519, 2043, 602, 4867, 1378, 519, 3919, 779, 18083, 563, 306, 1545, 540, 4317, 8177, 281, 2290, 4480, 585, 7114, 2959, 540, 1514, 1764, 568, 547, 1628, 513, 30393, 4786, 269, 634, 1184, 3322, 7114, 782, 8639, 1312, 4835, 543, 5007, 547, 519, 3919, 543, 10747, 782, 540, 519, 2081, 789, 666, 581, 12936, 267, 9797, 610, 11874, 267, 676, 519, 3919, 269, 5901, 538, 2247, 267, 8639, 616, 711, 3908, 547, 2516, 540, 2043, 609, 7247, 519, 3919, 814, 513, 2078, 282, 789, 1331, 4896, 602, 814, 606, 1719, 610, 6161, 1644, 547, 519, 3919, 563, 306, 1545, 540, 7025, 8177, 281, 5381, 547, 519, 4480, 1175, 4330, 267, 606, 10721, 11837, 3635, 666, 581, 3833, 5363, 4724, 7114, 782, 2959, 540, 2825, 1764, 269, 2334, 3322, 2870, 513, 3308, 6041, 540, 782, 11378, 543, 17016, 1644, 547, 519, 3919, 269, 11109, 513, 2347, 3308, 6041, 540, 519, 3919, 779, 5106, 786, 1118, 621, 4443, 547, 2327, 4986, 568, 14406, 563, 306, 1545, 1369, 1142, 9165, 607, 3989, 676, 519, 23435, 294, 16257, 273, 454, 8256, 738, 532, 513, 11347, 4433, 264, 540, 1142, 8257, 610, 1858, 1107, 513, 13595, 17460, 16869, 945, 814, 606, 538, 3829, 1702, 540, 519, 4143, 2238, 267, 8639, 543, 2200, 3238, 1107, 568, 1776, 3407, 8671, 545, 269, 1306, 5941, 538, 519, 7827, 5004, 3296, 267, 2502, 543, 5473, 5234, 568, 2556, 585, 10451, 4444, 2987, 543, 13346, 2528, 267, 855, 621, 568, 849, 2565, 547, 581, 6213, 998, 519, 1935, 269, 898, 568, 513, 1434, 2856, 547, 1832, 519, 1739, 538, 2247, 912, 268, 2142, 16614, 540, 5234, 942, 543, 4674, 1373, 16761, 267, 2523, 952, 16042, 2043, 1282, 513, 3226, 11112, 610, 2565, 942, 269, 769, 930, 2665, 267, 519, 1982, 779, 2115, 3112, 2097, 1101, 543, 1022, 13668, 585, 1489, 1058, 581, 10917, 1229, 9935, 563, 268, 2142, 5423, 547, 3717, 6596, 569, 543, 18390, 827, 519, 4674, 519, 3919, 814, 17298, 267, 1946, 621, 568, 513, 10862, 267, 543, 875, 519, 1982, 786, 1860, 519, 3919, 543, 922, 1004, 269, 31740, 616, 1034, 2693, 14542, 609, 519, 2242, 3238, 538, 12561, 513, 1982, 540, 713, 2470, 267, 543, 786, 6923, 723, 2055, 563, 268, 18897, 5699, 2491, 519, 991, 547, 2697, 2959, 540, 1764, 543, 519, 2956, 540, 1142, 9441, 779, 9295, 547, 519, 1184, 269, 2334, 786, 948, 9004, 519, 10054, 2043, 616, 2693, 547, 1118, 950, 2451, 547, 2721, 741, 1378, 8753, 827, 1946, 789, 616, 1373, 4280, 585, 1344, 563, 10112, 31757, 519, 11957, 540, 3962, 11905, 540, 8177, 454, 2414, 3927, 3715, 1018, 547, 2268, 267, 519, 1985, 2565, 1900, 568, 547, 3313, 799, 2959, 540, 1764, 616, 2693, 1034, 1271, 269, 12989, 616, 1896, 7355, 602, 1058, 581, 2808, 607, 851, 540, 12570, 519, 2956, 540, 1142, 2707, 540, 1764, 912, 268, 25684, 281, 875, 1644, 513, 2707, 540, 1764, 568, 547, 519, 14422, 543, 6859, 540, 519, 1982, 267, 3375, 15670, 267, 543, 519, 3919, 607, 513, 2898, 563, 1103, 513, 476, 1220, 271, 4009, 3723, 2564, 5604, 1141, 1648, 3790, 616, 3769, 1369, 519, 1942, 540, 10519, 267, 7893, 519, 1981, 540, 2810, 1648, 5777, 3884, 1406, 2693, 547, 1860, 3375, 1818, 563, 268, 3244, 13109, 281, 875, 2653, 513, 2707, 540, 1764, 568, 585, 4896, 547, 1174, 267, 7488, 540, 741, 1377, 540, 6791, 563, 288, 6405, 2268, 540, 10956, 1870, 8907, 568, 2693, 547, 581, 12863, 982, 3384, 513, 1007, 1505, 585, 3067, 4328, 6075, 14017, 1317, 1100, 3044, 1505, 6818, 563, 268, 19750, 640, 281, 519, 4110, 547, 799, 513, 2707, 540, 1764, 666, 581, 6027, 1510, 1210, 513, 1713, 2179, 540, 942, 267, 2724, 610, 824, 2200, 269, 634, 6482, 4390, 3964, 607, 851, 540, 4259, 909, 707, 1982, 786, 2693, 3310, 875, 4052, 621, 568, 547, 2268, 1142, 1761, 2707, 540, 1764, 563, 4263, 513, 1507, 12051, 602, 3302, 999, 23475, 28904, 267, 621, 1131, 581, 1447, 4052, 547, 3801, 547, 2268, 519, 1764, 540, 875, 741, 2472, 616, 26356, 540, 693, 741, 1439, 540, 1272, 8957, 519, 1764, 540, 11288, 873, 547, 21625, 563, 268, 4039, 6636, 281, 875, 1454, 513, 2707, 540, 1764, 666, 581, 6027, 1210, 28102, 267, 22973, 543, 2357, 16666, 1344, 543, 2409, 563, 1103, 606, 4853, 2030, 4259, 267, 7893, 7607, 568, 2693, 547, 581, 811, 6325, 982, 513, 1447, 3067, 16666, 2707, 540, 1764, 899, 9441, 9547, 563, 268, 21478, 281, 519, 4110, 547, 799, 513, 2707, 540, 1764, 568, 6417, 610, 666, 581, 2047, 4299, 24323, 563, 288, 13962, 568, 811, 2693, 547, 581, 2111, 547, 3310, 519, 2951, 2409, 5520, 946, 982, 621, 568, 2111, 547, 3310, 519, 2951, 540, 922, 5561, 547, 543, 689, 741, 4087, 563, 2467, 616, 1079, 3606, 7355, 602, 616, 811, 2352, 547, 4019, 855, 949, 581, 4502, 7156, 912, 268, 19043, 281, 875, 1804, 519, 2707, 540, 1764, 568, 538, 6476, 547, 1866, 269, 898, 666, 581, 2352, 547, 7447, 519, 4644, 540, 513, 2707, 540, 1764, 1354, 2965, 7893, 922, 2450, 267, 855, 3006, 513, 1360, 2596, 4879, 666, 581, 3833, 10213, 563, 288, 5663, 2030, 602, 2959, 3334, 689, 19421, 540, 14273, 547, 27043, 2011, 2783, 619, 786, 2693, 3651, 3152, 4644, 547, 741, 2504, 2326, 982, 519, 7727, 789, 6718, 585, 519, 5604, 563, 268, 15783, 585, 26094, 281, 519, 9588, 540, 519, 1761, 6454, 602, 666, 581, 1500, 676, 5466, 513, 2707, 540, 1764, 269, 11088, 267, 621, 666, 581, 2352, 547, 7447, 519, 1761, 585, 7133, 519, 2707, 1764, 1354, 1620, 519, 23250, 540, 1585, 3785, 267, 855, 3006, 513, 2241, 2689, 540, 7399, 666, 1683, 513, 5363, 16315, 563, 13706, 1079, 3906, 267, 1142, 609, 513, 1804, 18239, 540, 6472, 269, 2290, 5161, 540, 4587, 6472, 543, 519, 824, 682, 1162, 513, 18239, 602, 729, 5063, 8719, 269, 9603, 547, 519, 2085, 267, 519, 1761, 585, 4227, 519, 2825, 1764, 540, 519, 4587, 18239, 568, 1454, 3152, 563, 20376, 1005, 16179, 24493, 543, 22685, 1154, 513, 15937, 5590, 540, 17796, 540, 8177, 454, 16352, 5462, 799, 2959, 540, 1764, 616, 1034, 1271, 267, 519, 3803, 1900, 568, 547, 3803, 1125, 799, 2959, 540, 1764, 547, 1331, 1369, 519, 9165, 540, 519, 1239, 4015, 547, 581, 5340, 563, 2414, 948, 7520, 519, 1184, 540, 17516, 1489, 267, 1689, 2359, 12485, 1058, 581, 5402, 6964, 269, 13693, 609, 519, 8639, 267, 543, 5150, 519, 4444, 2987, 540, 1346, 945, 786, 581, 3238, 538, 10655, 1239, 607, 1134, 607, 1346, 5555, 1210, 621, 547, 2824, 1851, 1788, 3681, 269, 7053, 267, 3314, 602, 519, 9165, 3989, 568, 711, 1305, 538, 6149, 543, 666, 581, 3362, 14661, 607, 2556, 936, 942, 563, 272, 269, 6423, 24613, 15332, 519, 4826, 6420, 281, 19737, 2480, 2100, 6356, 1947, 2066, 519, 5741, 5020, 18888, 676, 22526, 16026, 543, 11023, 1066, 7101, 5112, 585, 811, 593, 8840, 1524, 1585, 1085, 8554, 269, 12232, 538, 1820, 563, 273, 269, 634, 2707, 540, 713, 6516, 568, 3184, 476, 275, 267, 2985, 476, 2918, 540, 634, 5682, 5264, 13937, 16257, 1107, 589, 23654, 19098, 543, 27561, 9208, 1336, 1934, 281, 5291, 2517, 4178, 269, 724, 326, 2889, 339, 4377, 3820, 11721, 3796, 270, 724, 326, 335, 9706, 3016, 270, 724, 326, 3491, 339, 4377, 3146, 14876, 15005, 0, 22117, 11429, 538, 519, 13639, 454, 22117, 11429, 568, 782, 1472, 721, 269, 898, 568, 1031, 538, 1114, 2081, 602, 649, 798, 711, 8275, 269, 1703, 616, 1079, 1114, 2127, 538, 799, 5718, 568, 6534, 267, 538, 519, 19742, 1158, 543, 4108, 1158, 269, 1452, 1079, 2127, 616, 14320, 1114, 538, 519, 1259, 1919, 616, 6743, 693, 267, 855, 1369, 519, 4108, 267, 621, 568, 547, 519, 1448, 269, 634, 4214, 540, 5718, 267, 538, 1250, 6644, 267, 568, 835, 945, 5012, 543, 4051, 338, 513, 1895, 540, 1004, 547, 3035, 513, 1455, 3804, 269, 634, 2136, 2276, 5794, 10414, 11225, 5718, 3592, 519, 1482, 267, 855, 814, 3144, 621, 547, 519, 1985, 1377, 269, 769, 519, 5794, 10414, 5718, 8261, 267, 621, 3081, 267, 968, 22117, 11429, 568, 519, 1148, 543, 2257, 540, 12018, 543, 28068, 1004, 547, 9585, 519, 8655, 5692, 892, 630, 293, 4355, 2006, 267, 533, 269, 476, 2420, 1040, 901, 8711, 1079, 4909, 2609, 540, 5718, 269, 634, 1101, 568, 519, 5692, 267, 6662, 267, 610, 4305, 547, 581, 12913, 267, 543, 519, 2034, 568, 519, 1004, 945, 9585, 621, 269, 13229, 5718, 21810, 1480, 1761, 883, 2500, 2773, 538, 519, 1459, 543, 22316, 5827, 3401, 538, 519, 2104, 630, 293, 4355, 2006, 533, 269, 2420, 1040, 4937, 30370, 681, 269, 674, 4355, 2006, 267, 4813, 518, 12751, 540, 16065, 540, 519, 772, 2529, 269, 5794, 10414, 267, 2899, 1767, 968, 22117, 11429, 1281, 711, 3160, 4971, 267, 855, 782, 4971, 619, 1058, 581, 3401, 892, 630, 294, 1961, 2006, 533, 269, 277, 1040, 901, 1797, 602, 1022, 1268, 666, 581, 513, 6205, 543, 666, 9797, 3310, 1346, 1472, 1864, 610, 1200, 547, 9585, 519, 5692, 267, 855, 519, 1268, 1590, 723, 519, 7287, 547, 1831, 513, 6205, 269, 589, 1268, 1590, 723, 741, 4295, 2418, 538, 1899, 547, 1831, 513, 6205, 269, 634, 2136, 2276, 5794, 10414, 4295, 2418, 616, 1390, 1806, 540, 3257, 1175, 602, 269, 6715, 31772, 1101, 267, 3028, 1354, 1582, 267, 543, 17284 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 518, 781, 454, 8368, 540, 12937, 454, 288, 16336, 6115, 781, 7734, 3559, 325, 454, 763, 14520, 628, 540, 5181, 454, 7818, 15094, 279, 4343, 276, 1691, 274, 267, 1269, 3607, 269, 6734, 630, 14551, 16225, 1070, 476, 280, 1321, 653, 454, 7818, 15094, 279, 4343, 276, 1428, 271, 267, 1269, 2537, 269, 4962, 630, 7809, 16225, 994, 7818, 15094, 279, 4343, 276, 1724, 277, 267, 1269, 275, 269, 4200, 28632, 267, 8940, 269, 600, 7571, 2593, 454, 763, 14520, 628, 540, 5181, 5205, 519, 2984, 540, 1079, 1114, 855, 1713, 2021, 269, 9986, 14746, 543, 20153, 773, 2661, 538, 1114, 10600, 267, 13197, 1114, 1919, 2394, 835, 1554, 12556, 6770, 873, 1927, 269, 1284, 616, 1101, 5189, 547, 9986, 14746, 269, 2701, 1185, 513, 3339, 6689, 538, 19903, 1662, 790, 1141, 1352, 887, 1372, 1200, 28886, 19564, 2059, 519, 5397, 3118, 538, 1200, 554, 32528, 267, 1373, 2366, 547, 519, 8378, 6300, 543, 3257, 782, 519, 8912, 1919, 3214, 1200, 2085, 1705, 269, 9986, 14746, 740, 1819, 1200, 3993, 3687, 22448, 269, 634, 2078, 519, 1079, 1185, 1044, 17681, 269, 2290, 3364, 594, 25343, 538, 3687, 22448, 729, 1200, 6015, 267, 5898, 543, 875, 1352, 5645, 9887, 269, 2701, 729, 513, 1909, 2203, 585, 9986, 14746, 543, 6026, 1200, 513, 2603, 540, 1272, 4245, 269, 2701, 5280, 9986, 14746, 538, 1200, 5289, 1272, 543, 1620, 930, 1272, 4978, 1352, 9408, 337, 6231, 2237, 513, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 4317, 3163, 1315, 10017, 1315, 14740, 19725, 543, 8682, 5937, 18752, 267, 547, 606, 9813, 3957, 7705, 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, 7705, 606, 9813, 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 ]
[ 0, 6092, 5149, 281, 2274, 534, 19871, 17796, 585, 13245, 26100, 573, 4515, 3796, 692, 7072, 912, 20756, 972, 256, 4653, 267, 649, 2811, 2469, 547, 1451, 827, 1945, 2731, 3579, 910, 10709, 3940, 2959, 543, 741, 1764, 593, 938, 4703, 256, 1411, 1522, 723, 4862, 827, 5946, 1354, 267, 899, 950, 707, 6091, 1332, 1310, 4730, 5026, 610, 3257, 3635, 269, 4270, 267, 2221, 267, 649, 786, 4685, 4514, 883, 1946, 5946, 616, 1271, 585, 721, 543, 875, 789, 948, 1832, 938, 1560, 2635, 269, 13018, 267, 649, 786, 1445, 593, 1978, 2010, 540, 5946, 1572, 834, 14211, 5946, 2437, 799, 616, 5140, 5079, 585, 4509, 513, 2635, 20188, 9043, 256, 1924, 1577, 781, 7914, 1318, 538, 2439, 1432, 616, 5946, 888, 3682, 974, 1231, 616, 5567, 1336, 538, 1585, 3536, 971, 607, 5779, 267, 5798, 267, 10683, 2472, 267, 10365, 267, 10808, 267, 543, 5388, 269, 3776, 1560, 3096, 891, 5946, 547, 1628, 543, 7816, 8031, 899, 7633, 267, 2960, 267, 4552, 267, 543, 6091, 269, 3958, 267, 5946, 1404, 2629, 5107, 538, 6721, 10399, 543, 11476, 1898, 585, 1114, 15629, 3252, 269, 30474, 16517, 267, 26001, 31841, 3086, 267, 1018, 1281, 2348, 513, 1412, 11794, 20188, 9043, 262, 1611, 888, 299, 760, 1749, 616, 1776, 1826, 540, 8770, 1336, 5631, 538, 9600, 543, 11041, 269, 589, 20188, 9043, 4016, 547, 519, 5666, 540, 1114, 5686, 540, 8501, 338, 543, 824, 9600, 630, 10193, 1634, 607, 27831, 1938, 264, 21883, 538, 938, 18072, 269, 1879, 649, 2911, 827, 513, 1412, 11794, 262, 20188, 9043, 267, 649, 2356, 1616, 2539, 2157, 540, 3983, 8501, 543, 2362, 2157, 540, 1434, 8501, 269, 24367, 513, 2635, 20188, 9043, 2337, 2569, 519, 1981, 540, 2295, 2068, 543, 8482, 269, 2334, 781, 1141, 10709, 5946, 2097, 538, 2439, 3963, 798, 10709, 5946, 2339, 585, 513, 2635, 20188, 9043, 888, 5278, 3940, 2959, 2270, 1164, 2157, 540, 15459, 543, 1098, 9600, 267, 799, 3565, 547, 9870, 3983, 8501, 2157, 269, 1717, 267, 10709, 5946, 616, 1970, 538, 1346, 14432, 9600, 543, 1683, 782, 519, 2640, 2404, 609, 5946, 1247, 4543, 2226, 513, 8902, 20188, 9043, 269, 1635, 7446, 10709, 3940, 3681, 267, 596, 2327, 602, 707, 3395, 1560, 4991, 3388, 621, 2115, 1510, 11874, 7133, 707, 2295, 1072, 780, 14300, 540, 10709, 5946, 912, 2080, 616, 930, 9735, 10709, 3940, 2959, 602, 596, 666, 3362, 6451, 883, 707, 6980, 1384, 272, 269, 16164, 1652, 9269, 28244, 281, 17179, 519, 2960, 547, 2759, 1524, 593, 3063, 3170, 543, 2972, 8949, 1989, 2683, 610, 19323, 9269, 28244, 563, 273, 269, 11894, 6089, 281, 5381, 547, 9269, 267, 21429, 6089, 2488, 10709, 3940, 22556, 1107, 1390, 585, 32409, 610, 25235, 2336, 274, 269, 12551, 281, 20363, 267, 27966, 267, 13798, 267, 10300, 756, 583, 267, 543, 5672, 651, 7758, 616, 3638, 538, 15060, 268, 274, 9761, 7408, 267, 799, 1489, 2295, 1072, 269, 3807, 3314, 547, 3442, 2848, 5446, 267, 11256, 267, 610, 1989, 3739, 2409, 3079, 540, 2620, 1922, 11538, 2336, 275, 269, 17378, 16543, 281, 2755, 2898, 5798, 2709, 2347, 3940, 267, 4212, 16543, 616, 6986, 3940, 4154, 609, 1100, 3170, 610, 8501, 269, 17828, 585, 26545, 16940, 5798, 267, 522, 1889, 7410, 267, 610, 5347, 625, 2336, 276, 269, 2142, 753, 543, 22053, 281, 30766, 2812, 267, 7105, 701, 553, 267, 3109, 10365, 267, 8459, 10365, 267, 3092, 1421, 616, 2030, 2861, 1379, 17346, 16041, 609, 6775, 267, 8324, 267, 6886, 267, 543, 10709, 3940, 269, 5410, 873, 547, 27130, 267, 12403, 338, 267, 610, 1711, 26345, 17154, 1273, 2906, 2336, 277, 269, 1677, 14673, 543, 1661, 701, 327, 281, 1452, 13386, 2861, 2472, 616, 11684, 543, 10110, 10366, 1134, 269, 2422, 873, 538, 13489, 1922, 1845, 267, 1225, 1845, 267, 610, 25235, 585, 20757, 7594, 3681, 563, 278, 269, 8899, 19339, 5144, 267, 10381, 267, 543, 18506, 281, 17949, 7513, 11656, 10683, 2472, 538, 20208, 676, 8939, 4389, 19339, 8747, 269, 5259, 18506, 267, 2523, 267, 3568, 7466, 519, 3940, 540, 2834, 18506, 2336, 279, 269, 715, 7491, 543, 5452, 281, 1325, 24325, 267, 9267, 22756, 267, 30485, 572, 2644, 267, 30011, 5452, 267, 3092, 1421, 3640, 513, 3532, 24362, 540, 10709, 3940, 2059, 609, 2295, 268, 11794, 5667, 18260, 9600, 269, 5457, 267, 1498, 267, 789, 849, 2270, 8477, 267, 865, 6529, 547, 6712, 1852, 780, 6962, 912, 3528, 6220, 891, 10709, 3940, 2959, 883, 707, 3232, 2732, 267, 596, 2285, 707, 1560, 519, 2679, 7161, 621, 3340, 1247, 5009, 513, 2635, 20188, 9043, 269, 898, 781, 2141, 1187, 3843, 1007, 10346, 543, 12423, 3860, 2081, 547, 946, 891, 5820, 269, 8414, 5986, 267, 543, 3251, 22934, 585, 811, 3078, 4245, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2690, 1082, 31614, 5474, 267, 519, 1184, 540, 3478, 513, 2757, 31614, 752, 689, 519, 1286, 547, 519, 1216, 666, 581, 513, 18447, 4305, 269, 1809, 609, 4870, 23534, 31614, 6545, 267, 602, 1184, 3587, 1454, 811, 19242, 269, 769, 713, 2022, 267, 649, 3580, 2263, 519, 13418, 540, 4870, 23534, 31614, 1136, 543, 875, 621, 2306, 519, 1184, 540, 31614, 1136, 1454, 811, 3015, 563, 9558, 1636, 532, 4870, 23534, 31614, 6545, 568, 11212, 2653, 3379, 547, 2757, 31614, 6545, 269, 1358, 666, 581, 14095, 2476, 883, 513, 1507, 9126, 950, 1219, 3836, 267, 799, 568, 513, 6824, 540, 519, 2450, 540, 513, 2757, 31614, 752, 269, 901, 711, 1152, 2306, 621, 4443, 547, 4558, 855, 1797, 602, 621, 666, 3514, 883, 1256, 519, 10545, 540, 6517, 267, 1818, 6283, 1454, 811, 19242, 563, 30787, 909, 606, 4870, 23534, 31614, 752, 568, 513, 2241, 1184, 267, 799, 1797, 596, 666, 581, 593, 519, 1216, 1369, 3764, 269, 901, 568, 513, 5458, 5413, 936, 2757, 31614, 6545, 267, 799, 1419, 2154, 513, 2603, 540, 942, 543, 4674, 547, 1305, 909, 543, 10131, 269, 1280, 3885, 609, 3214, 610, 4896, 945, 6499, 547, 1205, 593, 519, 1216, 3533, 543, 7561, 267, 4870, 23534, 31614, 6545, 616, 519, 3501, 3903, 269, 674, 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, 6756, 19871, 17796, 585, 13245, 26100, 573, 4515, 3796, 257, 607, 851, 540, 834, 23733, 1315, 2657, 1299, 23046, 1315, 8899, 932, 7995, 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, 277, 281, 10289, 12634, 4168, 654, 11208, 8535, 998, 8109, 18179, 28673, 692, 7072, 912, 310, 3480, 4207, 4168, 2575, 814, 1044, 513, 8789, 3196, 538, 5935, 2413, 5289, 7574, 4082, 269, 1717, 267, 972, 568, 1776, 3638, 2245, 602, 2392, 919, 713, 3350, 676, 5553, 1107, 8109, 18179, 1396, 17790, 2575, 269, 901, 1770, 786, 5490, 883, 519, 14960, 540, 8109, 18179, 2575, 543, 922, 10083, 547, 4207, 4168, 10847, 2575, 269, 1284, 786, 4983, 875, 519, 19664, 543, 28133, 932, 7546, 338, 1599, 1369, 519, 5259, 18179, 5246, 10972, 665, 3150, 540, 3013, 781, 630, 294, 29151, 264, 3646, 547, 8190, 543, 4001, 891, 5389, 547, 7820, 5481, 269, 3414, 713, 7634, 267, 596, 786, 2744, 4030, 883, 519, 3140, 2796, 267, 7574, 2553, 267, 543, 2686, 4644, 540, 713, 3504, 1148, 1106, 780, 4089, 476, 272, 281, 8466, 12745, 540, 8109, 18179, 22175, 17790, 8535, 692, 30399, 267, 8109, 18179, 1396, 17790, 2575, 7389, 1394, 547, 519, 8772, 2540, 950, 853, 269, 4936, 657, 519, 9253, 617, 626, 5189, 1395, 2684, 4577, 1728, 332, 985, 1759, 593, 13400, 5931, 269, 4595, 1287, 267, 3875, 25803, 723, 8329, 547, 519, 1646, 540, 713, 2189, 9135, 267, 6220, 2609, 971, 607, 1110, 531, 10253, 267, 1875, 31475, 1229, 18819, 267, 543, 10636, 2684, 3415, 269, 769, 1840, 267, 18179, 10271, 3494, 602, 741, 10723, 2575, 11438, 25386, 3601, 5827, 540, 6173, 908, 7249, 2958, 1218, 547, 2362, 2157, 540, 5289, 4656, 1282, 2533, 269, 9182, 267, 1781, 15077, 899, 1346, 5018, 538, 519, 23184, 288, 781, 1035, 8432, 974, 1982, 1404, 1898, 5107, 538, 8497, 543, 23142, 891, 2085, 6040, 2853, 780, 4089, 476, 273, 281, 28042, 9828, 1299, 23113, 14146, 539, 538, 18179, 670, 2096, 333, 1328, 692, 292, 6141, 18179, 1396, 17790, 2575, 5097, 18271, 5216, 1114, 12331, 1634, 607, 21453, 1729, 3663, 657, 269, 1452, 12331, 3313, 23964, 543, 23191, 3889, 1031, 2429, 1728, 332, 985, 543, 19001, 269, 9521, 5375, 8106, 2575, 267, 8109, 18179, 2575, 1281, 711, 1246, 7453, 1558, 3740, 3270, 282, 3079, 267, 24754, 3919, 19674, 1418, 1227, 689, 519, 1257, 3294, 269, 5015, 267, 13047, 1235, 2308, 513, 1808, 1826, 540, 669, 656, 1572, 5294, 27622, 542, 267, 13296, 789, 3082, 840, 1260, 12723, 5283, 29487, 2453, 547, 3514, 1007, 19621, 18627, 269, 4197, 891, 3982, 7574, 2934, 2488, 3407, 5813, 883, 1946, 8109, 18179, 344, 3325, 637, 922, 669, 7394, 6561, 865, 3810, 780, 4089, 476, 274, 281, 10020, 540, 5753, 781, 932, 7546, 338, 538, 3465, 6326, 12465, 13756, 692, 14399, 781, 1781, 15077, 267, 971, 607, 519, 19664, 543, 28133, 932, 7546, 338, 267, 2709, 3255, 585, 1762, 1004, 547, 4497, 7184, 609, 741, 3909, 3961, 269, 30880, 11942, 7071, 585, 2757, 7574, 3029, 267, 7512, 9015, 543, 16542, 267, 543, 2636, 873, 547, 3565, 25006, 547, 18497, 10847, 2833, 269, 3958, 267, 1453, 1419, 4865, 17916, 15131, 543, 7279, 827, 1565, 1007, 1983, 267, 1818, 873, 4998, 10457, 585, 31328, 942, 3620, 517, 1819, 9821, 269, 1306, 938, 2486, 3587, 5051, 2518, 1242, 267, 4509, 4296, 547, 18577, 5072, 17648, 2565, 2956, 269, 4935, 267, 3292, 899, 891, 1831, 4105, 31026, 1080, 585, 29076, 1702, 4483, 780, 4089, 476, 275, 281, 9061, 4211, 8590, 22627, 9737, 8109, 18179, 543, 12634, 4168, 654, 11208, 8535, 692, 8601, 7805, 3604, 1063, 8109, 18179, 1396, 17790, 2575, 543, 4207, 4168, 10847, 2575, 267, 19320, 798, 2291, 269, 5637, 11964, 11168, 7249, 2958, 1049, 7589, 267, 2721, 2390, 3838, 7097, 1116, 2959, 267, 543, 11457, 936, 942, 2687, 547, 13346, 2686, 7506, 269, 24356, 8109, 18179, 344, 781, 7574, 9371, 666, 8300, 5876, 1369, 4207, 10580, 543, 6536, 5188, 1063, 3309, 2950, 269, 5047, 267, 3695, 1455, 4798, 949, 7866, 9670, 10486, 267, 5009, 8994, 2463, 543, 1620, 1851, 9439, 780, 6962, 1384, 1607, 1770, 19156, 519, 1871, 540, 4974, 8109, 18179, 1396, 17790, 2575, 538, 6935, 547, 4207, 4168, 10847, 2575, 269, 1635, 6313, 519, 3140, 2796, 267, 7574, 4162, 267, 1909, 540, 1453, 781, 1781, 15077, 267, 543, 3444, 14426, 4296, 267, 596, 723, 6591, 4514, 5813, 883, 713, 9006, 30514, 2259, 269, 12056, 9691, 609, 971, 1570, 6087, 721, 547, 5660, 811, 4628, 519, 4763, 540, 7215, 1369, 8567, 543, 27862, 938, 1378, 2123, 15322, 540, 5132, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 4131, 1100, 835, 16339, 1047, 707, 6107, 267, 855, 581, 606, 1383, 547, 519, 21071, 538, 2262, 267, 538, 2932, 267, 538, 2648, 267, 538, 6891, 267, 538, 5132, 267, 538, 19454, 269, 910, 272, 30227, 476, 275, 281, 1321, 454, 763, 1035, 8432, 974, 1982, 5713, 547, 3895, 543, 5000, 1762, 2367, 547, 7683, 1451, 543, 2611, 7722, 538, 519, 10513, 7896, 269, 898, 568, 513, 17979, 547, 4196, 538, 519, 10513, 16816, 541, 543, 835, 799, 1058, 711, 581, 3144, 21066, 269, 634, 8695, 616, 4397, 547, 10571, 14013, 267, 547, 12446, 2038, 543, 547, 6432, 547, 519, 2937, 543, 6107, 3401, 1247, 7674, 269, 1280, 811, 1344, 267, 5225, 3346, 707, 2199, 25110, 17308, 269, 16816, 541, 7911, 18956, 338, 543, 2866, 7886, 616, 9415, 563, 20315, 5085, 6730, 808, 7419, 296, 3036, 8863, 302, 7644, 306, 454, 763, 19664, 543, 28133, 932, 7546, 338, 1683, 606, 28627, 17929, 519, 6107, 540, 519, 5450, 24227, 666, 1020, 606, 1620, 540, 1312, 519, 4190, 267, 2943, 1950, 20850, 267, 543, 824, 1585, 6163, 540, 1728, 19282, 1108, 267, 607, 621, 25701, 547, 519, 3235, 27036, 20292, 2575, 6964, 538, 18179, 10847, 269, 8535, 5049, 1491, 1747, 693, 519, 8805, 6153, 2701, 23311, 4832, 3786 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 568, 6592, 538, 968, 23208, 19475, 23621, 1481, 534, 1744, 340, 27535, 968, 763, 11018, 540, 519, 2947, 6801, 568, 513, 1129, 540, 519, 2242, 538, 519, 1158, 269, 8409, 945, 616, 4075, 6681, 786, 2744, 519, 17599, 543, 741, 18939, 786, 10653, 282, 769, 519, 4639, 267, 2477, 3544, 519, 6239, 26111, 786, 4324, 689, 598, 14127, 547, 713, 24666, 7613, 3034, 10303, 540, 713, 4845, 267, 1082, 1004, 1589, 602, 519, 2947, 3613, 541, 3126, 568, 513, 1434, 522, 5443, 269, 3371, 568, 606, 7778, 269, 6969, 519, 8798, 540, 519, 24666, 16263, 267, 519, 606, 857, 757, 1223, 711, 1294, 28800, 639, 267, 3026, 31337, 543, 32624, 269, 1358, 1223, 1152, 1294, 519, 2947, 6801, 609, 519, 21736, 3750, 267, 799, 568, 1018, 519, 3504, 19539, 2389, 25527, 1572, 519, 19427, 540, 519, 2947, 6801, 269, 590, 4660, 621, 729, 513, 1434, 3364, 267, 5310, 547, 5225, 519, 17169, 563, 1103, 1249, 267, 952, 519, 1158, 2242, 267, 543, 519, 17399, 656, 14610, 4422, 1524, 543, 519, 6505, 14610, 4422, 909, 267, 621, 786, 8197, 581, 513, 1434, 3364, 585, 3624, 269, 1717, 267, 930, 5640, 538, 1686, 723, 849, 6045, 602, 519, 19236, 19273, 616, 519, 522, 2381, 748, 4191, 540, 4108, 12469, 269, 901, 6031, 2501, 689, 519, 1433, 968, 297, 532, 30795, 2967, 9147, 543, 7073, 6100, 634, 3312, 1257, 568, 968, 763, 11018, 540, 2947, 6801, 568, 711, 513, 22273, 5534, 267, 621, 568, 606, 3239, 540, 7980, 2507, 1403, 519, 2947, 6801, 5531, 1447, 267, 519, 7980, 786, 581, 1447, 267, 543, 952, 519, 2947, 6801, 5531, 811, 267, 519, 7980, 786, 581, 811, 3034, 2467, 729, 513, 1268, 609, 2706, 7538, 5759, 945, 8118, 519, 4064, 540, 519, 6607, 269, 1261, 1767, 602, 646, 1031, 1010, 16750, 7060, 547, 5659, 519, 18477, 9259, 543, 4718, 602, 519, 2947, 3613, 541, 11018, 729, 513, 26481, 543, 522, 2381, 748, 1129, 267, 543, 621, 729, 519, 2669, 1608, 600, 640, 540, 519, 17169, 282, 13689, 593, 519, 4110, 267, 972, 786, 581, 25133, 2053, 282, 855, 711, 782, 25133, 2053, 1152, 5330, 547, 713, 18477, 7613, 563, 3383, 1018, 2101, 2621, 538, 519, 1158, 798, 519, 2947, 3613, 541, 15646, 9857, 543, 519, 5722, 3613, 541, 15646, 9857, 538, 1686, 5330, 547, 286, 1548, 1764, 1281, 519, 24666, 7613, 540, 519, 18599, 25578, 723, 593, 519, 3047, 286, 663, 1432, 1764, 786, 713, 5722, 3613, 541, 15646, 9857, 723, 593, 938, 2729, 888, 8923, 4585, 519, 3381, 585, 3877, 281, 0, 1103, 519, 4241, 1158, 540, 1148, 543, 2528, 267, 835, 3112, 26777, 519, 27559, 540, 683, 16438, 817, 6291, 269, 589, 2511, 602, 26866, 619, 8941, 540, 3504, 2053, 267, 1247, 8195, 16079, 532, 519, 2413, 2085, 781, 11407, 269, 1809, 1018, 4010, 568, 713, 3350, 602, 13123, 5553, 286, 1133, 557, 4979, 519, 9759, 540, 683, 16438, 817, 6291, 30867, 5736, 1019, 5529, 538, 15851, 1145, 28934, 513, 26497, 28330, 547, 7938, 571, 6137, 1686, 4494, 676, 4494, 563, 4263, 519, 2490, 540, 519, 2034, 3368, 540, 519, 476, 1240, 628, 2540, 267, 2342, 1336, 3294, 679, 600, 1819, 609, 513, 1007, 19818, 585, 7499, 4082, 269, 3026, 16438, 817, 6291, 267, 713, 3810, 1713, 3864, 3350, 267, 9782, 899, 513, 943, 14535, 1460, 538, 5333, 269, 7201, 519, 5583, 540, 26719, 971, 607, 10496, 13196, 6441, 537, 529, 6424, 267, 621, 6322, 547, 2736, 1863, 689, 519, 9992, 643, 565, 640, 2404, 609, 519, 18842, 27494, 2511, 543, 2699, 4593, 1478, 5837, 22759, 267, 2601, 267, 543, 588, 334, 6291, 1247, 5373, 6667, 689, 13983, 1723, 7304, 2674, 25196, 563, 7072, 547, 3026, 16438, 817, 6291, 454, 14240, 543, 7650, 540, 3026, 16438, 817, 6291, 454, 308, 526, 16040, 267, 1354, 649, 14679, 2417, 883, 938, 3408, 267, 621, 781, 1898, 547, 5581, 683, 16438, 817, 6291, 269, 12833, 3183, 2093, 2938, 538, 29724, 11665, 673, 1148, 267, 6189, 267, 3332, 267, 543, 2575, 15866, 689, 5375, 4529, 1282, 519, 476, 1240, 628, 543, 2038, 476, 866, 628, 5553, 9789, 2165, 1412, 928, 16438, 817, 6291, 262, 24283, 689, 1079, 5259, 1913, 281, 1412, 928, 657, 10086, 2495, 1007, 267, 543, 1412, 9383, 817, 1731, 657, 10086, 11021, 8106, 269, 4935, 31552, 891, 26620, 262, 25505, 2509, 2847, 1516, 8106, 15312, 689, 13983, 1723, 7304, 2674, 25196, 855, 14322, 513, 4195, 5133, 563, 14813, 26475, 543, 6667, 689, 3504, 5259, 543, 4936, 1148, 543, 2528, 454, 31528, 543, 4936, 12977, 723, 25340, 8032, 938, 1459, 6377, 24866, 269, 769, 1249, 267, 741, 29501, 593, 683, 16438, 27222, 3821, 4585, 6919, 1765, 2041, 2246, 344, 267, 2245, 267, 1931, 28934, 865, 27621, 762, 602, 621, 666, 581, 10146, 539, 676, 8806, 8524, 532, 1022, 4062, 689, 519, 29724, 5929, 1143, 26254, 563, 5804, 882, 5109, 18810, 669, 529, 601, 539, 547, 19870, 899, 513, 1134, 2914, 3754, 2712, 333, 610, 575, 3073, 532, 593, 3134, 923, 649, 8491, 29535, 2299, 609, 1480, 21644, 693, 741, 4295, 1765, 718, 2609, 540, 683, 16438, 817, 673, 1148, 7703, 21981, 547, 519, 2463, 585, 25196, 779, 19259, 1369, 5159, 10362, 547, 519, 29724, 8106, 1974, 563, 23208, 2796, 543, 11944, 540, 3026, 16438, 817, 6291, 607, 606, 7499, 3350, 454, 10468, 16438, 817, 6291, 4769, 1405, 2049, 856, 540, 24076, 22924, 729, 17275, 676, 1880, 3140, 2621, 3564, 6071, 15312, 269, 769, 512, 30802, 609, 2342, 781, 8739, 27791, 5251, 1282, 519, 3735, 476, 1240, 628, 2540, 267, 683, 16438, 817, 6291, 3350, 3964, 3294, 607, 606, 7214, 543, 7499, 7678, 563, 763, 6602, 540, 519, 3504, 4936, 2749, 540, 25048, 701, 4512, 24224, 609, 922, 17028, 7458, 23906, 1723, 525, 267, 519, 3486, 9835, 12875, 602, 13473, 519, 14547, 1762, 2367, 538, 8106, 1148, 543, 2528, 32737, 1134, 607, 519, 6520, 540, 21654, 602, 17275, 7787, 3206, 543, 27278, 1004, 827, 741, 2250, 1765, 335, 1886, 8215, 713, 1007, 5951, 1634, 2221, 607, 29724, 11665, 545, 626, 12716, 1143, 563, 288, 10347, 11466, 4646, 1063, 2757, 7506, 543, 3209, 2093, 8507, 538, 3026, 16438, 817, 6291, 781, 11944, 30867, 7499, 12106, 1141, 1686, 23091, 32069, 1369, 4195, 16752, 669, 29354, 856, 676, 2919, 8186, 540, 513, 6422, 2486, 563, 7659, 18567, 540, 3026, 16438, 817, 6291, 454, 4131, 781, 7832, 593, 606, 3408, 540, 519, 1883, 4162, 540, 683, 16438, 817, 6291, 267, 606, 7499, 3350, 13747, 676, 1896, 2189, 2934, 563, 10387, 3508, 529, 593, 11352, 267, 18696, 267, 543, 21929, 640, 538, 3203, 543, 5071, 454, 3080, 10747, 8984, 540, 683, 16438, 817, 673, 1148, 568, 519, 2178, 8561, 9788, 593, 1931, 267, 3666, 267, 543, 7787, 640, 269, 901, 8561, 4564, 513, 6450, 583, 2145, 1996, 519, 1863, 268, 14127, 543, 22192, 21274, 2938, 5892, 538, 18842, 27494, 1148, 269, 634, 29724, 5929, 1235, 25967, 1819, 9015, 936, 15514, 2033, 640, 269, 4935, 267, 741, 7499, 7215, 13686, 513, 2631, 540, 8167, 28330, 547, 602, 4810, 538, 25196, 563, 8002, 532, 607, 513, 15266, 547, 713, 2298, 1131, 581, 10496, 13196, 6441, 537, 529, 6424, 779, 7206, 2048, 763, 744, 987, 540, 9710, 520, 4512, 9957, 634, 11247, 15225, 5730, 3515, 29689, 609, 606, 12705, 540, 10103, 3850, 585, 7580, 1931, 17349, 563, 8196, 540, 18190, 21771, 267, 7763, 604, 338, 267, 543, 13595, 17460, 454, 5194, 11495, 14487, 2404, 609, 683, 16438, 817, 6291, 25701, 547, 741, 7694, 540, 8106, 4798, 12082, 7184, 538, 3504, 5259, 543, 4936, 6386, 269, 13507, 545, 18305, 971, 607, 14868, 543, 17691, 4749, 2408, 2066, 683, 16438, 817, 673, 26620, 4946, 3178, 547, 741, 1936, 18356, 563, 2690, 3236, 267, 950, 835, 15109, 21293, 2052, 13960, 779, 17001, 2048, 303, 1910, 3832, 4860, 1882, 676, 19067, 573, 781, 918, 1170, 8730, 621, 3587, 2312, 875, 13299, 4249, 1312, 544, 2224, 543, 6219, 1369, 1568, 4535, 856, 540, 519, 683, 16438, 817, 673, 1974, 563, 296, 337, 637, 8826, 540, 519, 5420, 6964, 910, 17001, 610, 7206, 910, 18596, 4798, 666, 581, 14360, 1394, 547, 12325, 32626, 14488, 610, 2984, 5473, 5837, 1178, 10903, 553, 22298, 1369, 2895, 24191, 20072, 563, 27662, 20514, 267, 6641, 11496, 267, 543, 3244, 13109, 538, 23531, 454, 10468, 16438, 817, 673, 1148, 17947, 27194, 538, 3515, 13745, 609, 15340, 19610, 1524, 883, 1785, 12147, 2241, 15885, 269, 901, 4050, 31008, 4724, 16134, 6913, 22122, 1063, 2609, 16030, 1142, 4062, 1247, 6173, 908, 519, 2949, 25894, 22993, 1369, 621, 563, 25332, 6326, 1022, 1383, 540, 683, 16438, 817, 673, 1148, 786, 7866, 6297, 13307, 18705, 998, 22111, 3007, 1655, 15735, 2390, 27101, 11460, 269, 3962, 11453, 8482, 610, 669, 529, 601, 539, 25034, 566, 568, 1625, 12723, 547, 3895, 3308, 3666, 267, 4611, 538, 8098, 4275, 29087, 18900, 15885, 563, 7336, 2610, 540, 26758, 1242, 25925, 543, 5274, 4813, 454, 21982, 741, 29692, 689, 8106, 1148, 267, 3026, 16438, 26226, 1235, 2417, 8268, 519, 1523, 540, 4998, 1242, 5898, 1419, 6719, 998, 513, 1445, 593, 3501, 1480, 1106, 269, 645, 3672, 24829, 1369, 891, 7499, 14365, 2293, 941, 9380, 539, 1524, 547, 8792, 1469, 910, 20662, 880, 3007, 6131, 547, 16757, 8082, 543, 15629, 8167, 563, 1103, 1931, 547, 10146, 713, 2460, 649, 991, 855, 16145, 693, 14732, 6441, 537, 529, 717, 10098, 30956, 779, 2048, 763, 12619, 540, 7736, 2096, 542, 9957, 901, 960, 7319, 12923, 538, 9306, 519, 5256, 26430, 10502, 1247, 1965, 3832, 9405, 16765, 1350, 600, 712, 5314, 563, 12831, 2109, 540, 8466, 610, 19088, 1670, 15881, 2510, 454, 7661, 267, 1082, 683, 16438, 817, 673, 5159, 4547, 8521, 6386, 689, 3140, 2621, 610, 7242, 3098, 1266, 11712, 1369, 7104, 3965, 269, 634, 3804, 1934, 729, 607, 1454, 827, 2502, 13588, 3842, 11541, 1543, 607, 621, 729, 827, 3246, 2686, 16555, 563, 2690, 1383, 267, 18148, 4639, 781, 897, 1601, 531, 7206, 1412, 763, 12280, 540, 4937, 16423, 324, 685, 568, 1634, 585, 922, 2282, 7308, 520, 3740, 26841, 540, 519, 3703, 2489, 779, 2669, 1282, 519, 11135, 540, 20563, 269, 3414, 971, 1568, 267, 683, 16438, 817, 673, 7376, 8942, 547, 9192, 3140, 6111, 609, 5837, 12496, 7551, 14178, 3564, 12716, 13144, 883, 1705, 12519, 8513, 563, 296, 4126, 707, 5490, 883, 1883, 4162, 540, 683, 16438, 817, 6291, 814, 3376, 2989, 707, 5133, 4724, 19825, 713, 8037, 1974, 538, 1148, 1686, 563, 303, 31021, 538, 3026, 16438, 817, 6291, 454, 10468, 16438, 817, 6291, 729, 513, 3350, 602, 1350, 528, 1881, 519, 8106, 1974, 267, 2921, 1880, 6667, 689, 3504, 5259, 543, 4936, 1148, 269, 901, 25621, 585, 2250, 22184, 338, 729, 5693, 7298, 1369, 683, 16438, 817, 673, 7206, 6163, 563, 10468, 16438, 817, 673, 10266, 1562, 543, 4256, 11683, 3718, 454, 2750, 1061, 1308, 5159, 7153, 1282, 519, 683, 16438, 817, 673, 1974, 269, 31327, 519, 12106, 540, 29724, 8106, 1148, 941, 26719, 899, 10496, 13196, 6441, 537, 529, 6424, 267, 14639, 5025, 1872, 755, 324, 5937, 7631, 1664, 16016, 637, 267, 543, 19664, 3821, 918, 879, 742, 2006, 1851, 1866, 269, 1635, 2484, 835, 540, 519, 1034, 12021, 4773, 689, 713, 5736, 568, 6424, 781, 834, 763, 12280, 540, 24198, 257, 910, 606, 12013, 2305, 540, 1312, 30031, 543, 21044, 2609, 6093, 547, 683, 16438, 817, 6291, 2443, 9446, 532, 590, 7095, 16495, 17636, 532, 936, 2168, 2669, 269, 6271, 11358, 5888, 729, 16016, 637, 262, 834, 763, 7442, 6139, 2670, 540, 25264, 2437, 1630, 8463, 513, 18900, 11100, 540, 3140, 5515, 1305, 1996, 5929, 11265, 1394, 323, 28979, 563, 14813, 26475, 540, 10496, 13196, 6441, 537, 529, 6424, 593, 519, 11873, 454, 297, 659, 13196, 6441, 537, 529, 6424, 781, 1764, 593, 519, 683, 16438, 817, 6291, 3350, 568, 29810, 269, 10705, 9833, 607, 513, 1883, 4137, 1369, 713, 9135, 267, 6424, 9070, 730, 4162, 6093, 547, 683, 16438, 817, 673, 1148, 998, 1010, 1568, 282, 2973, 3515, 267, 15340, 267, 543, 7768, 2497, 267, 8544, 1117, 609, 8978, 6386, 610, 29631, 4798, 269, 1261, 27647, 1242, 8284, 5159, 547, 5660, 2241, 25894, 936, 18842, 27494, 779, 3063, 341, 698, 656, 15022, 520, 8864, 676, 1102, 6748, 2609, 1419, 2404, 609, 25196, 538, 1010, 26620, 269, 3571, 25704, 899, 834, 763, 744, 987, 540, 9710, 520, 4512, 257, 598, 4038, 1242, 891, 3741, 676, 18995, 7453, 5837, 9479, 543, 2418, 7915, 547, 7507, 781, 2757, 2486, 1247, 14139, 3982, 1947, 28191, 699, 15885, 563, 27735, 540, 8466, 6452, 5596, 543, 26874, 11619, 1137, 538, 3026, 16438, 817 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 28062, 566, 7723, 568, 513, 1863, 3498, 543, 1489, 2326, 2966, 547, 948, 596, 1451, 646, 11119, 2656, 4183, 1592, 910, 8755, 15258, 1982, 602, 2636, 596, 547, 2259, 3965, 11291, 585, 2542, 267, 1603, 267, 5748, 7723, 2306, 1100, 3801, 547, 1832, 513, 1762, 1126, 781, 3007, 1294, 9925, 880, 7809, 2264, 1260, 1721, 3301, 2966, 609, 1453, 538, 2247, 610, 519, 269, 14271, 11618, 585, 2247, 693, 519, 28445, 1260, 609, 1863, 2228, 519, 28445, 267, 1884, 11618, 267, 543, 8847, 1265, 10855, 8925, 585, 2247, 269, 634, 5048, 540, 519, 646, 11119, 7326, 3332, 676, 13171, 328, 4422, 518, 950, 596, 1589, 540, 3504, 7326, 267, 1018, 568, 519, 1101, 3239, 602, 1402, 338, 883, 707, 2247, 269, 10558, 532, 281, 519, 14951, 540, 646, 11119, 18986, 1682, 1923, 10802, 707, 1893, 543, 1174, 519, 646, 3630, 545, 2247, 1305, 7488, 540, 707, 1377, 267, 596, 666, 1631, 10802, 707, 4633, 711, 1175, 676, 4946, 1913, 547, 707, 6863, 267, 855, 676, 1620, 543, 1210, 519, 1034, 1271, 476, 4335, 13862, 9925, 1564, 646, 11119, 18986, 1682, 910, 12261, 267, 543, 1936, 730, 538, 2241, 7005, 593, 476, 273, 8301, 563, 5881, 268, 6187, 268, 1001, 276, 950, 649, 8947, 533, 15680, 332, 476, 4097, 513, 7008, 540, 4374, 3516, 1775, 7074, 602, 519, 646, 11119, 2262, 26550, 568, 21235, 538, 7005, 3006, 607, 2295, 543, 824, 2053, 607, 2247, 547, 798, 269, 1677, 519, 646, 11119, 2247, 267, 782, 519, 6381, 540, 1272, 1107, 519, 1434, 2053, 543, 519, 2182, 2053, 1700, 2492, 711, 676, 4960, 855, 896, 519, 19988, 1852, 540, 620, 332, 26663, 5601, 1312, 1449, 14613, 11168, 713, 3450, 7282, 519, 10723, 1145, 540, 782, 540, 1272, 538, 2025, 15266, 2053, 519, 646, 11119, 16027, 973, 1243, 519, 32725, 540, 646, 11119, 2219, 269, 589, 3028, 602, 3091, 513, 3099, 540, 7911, 1299, 8004, 4816, 4408, 267, 1519, 646, 11119, 7911, 1299, 8004, 4816, 4408, 609, 2012, 267, 2495, 267, 5169, 543, 4008, 269, 2368, 1560, 851, 23199, 543, 552, 1575, 1335, 3359, 538, 13400, 646, 11119, 676, 30602, 2848, 514, 6199, 1496, 16942, 6870, 316, 554, 522, 1889, 2985, 476, 272, 607, 666, 581, 2938, 689, 3349, 476, 272, 267, 519, 13400, 646, 11119, 6697, 540, 519, 7005, 18986, 558, 2295, 543, 2247, 267, 568, 13913, 505, 32679, 403, 506, 21012, 25149, 403, 359, 563, 1103, 1840, 547, 519, 646, 11119, 10409, 5748, 540, 13414, 267, 519, 1543, 540, 13414, 568, 4956, 569, 646, 11119, 538, 1614, 1713, 2081, 1101, 267, 607, 29523, 2798, 856, 267, 1247, 972, 616, 1906, 1463, 24185, 267, 972, 616, 936, 476, 4335, 782, 16272, 547, 519, 16009, 12112, 267, 21246, 958, 689, 608, 21402, 267, 568, 320, 11672, 267, 795, 699, 31109, 267, 552, 345, 2131, 1408, 267, 15854, 1408, 543, 1990, 3663, 7559, 327, 476, 519, 2949, 1198, 269, 3703, 2278, 737, 7056, 320, 695, 4461, 773, 267, 4171, 2038, 1568, 1185, 1044, 12261, 883, 646, 11119, 267, 31439, 547, 15476, 1200, 1007, 2835, 538, 568, 5361, 1352, 781, 711, 519, 1152, 835, 3247, 27515, 547, 24327, 4334, 1867, 606, 10333, 3390, 2845, 538, 9043, 2845, 719, 24049, 1631, 688, 15756, 345, 910, 568, 5361, 3377, 555, 11787, 267, 5104, 569, 476, 866, 267, 476, 1001, 279, 1285, 476, 278, 267, 476, 276, 6507, 279, 942, 538, 568, 5361, 281, 476, 275, 281, 1556, 993, 269, 1323, 4367, 547, 519, 1523, 540, 3597, 1913, 538, 519, 646, 11119, 1893, 543, 519, 2497, 540, 646, 11119, 1913, 269, 634, 2262, 538, 2257, 875, 5601, 31825, 609, 721, 812, 4927, 711, 1294, 803, 543, 2661, 9204, 1107, 519, 21266, 1540, 4730, 2361, 1934, 2501, 519, 3141, 1100, 835, 540, 519, 4966, 8068, 547, 17412, 476, 272, 268, 476, 4968, 271, 7005, 1913, 609, 2953, 646, 11119, 2495, 267, 18445, 646, 11119, 10096, 616, 8471, 476, 273, 268, 519, 1603, 540, 5601, 519, 3312, 646, 11119, 5022, 269, 476, 1626, 268, 5881, 268, 1001, 279, 804, 1731, 1934, 3105, 13400, 646, 11119, 682, 13877, 976, 723, 3177, 513, 2413, 7262, 4214, 543, 5133, 547, 646, 11119, 5072, 543, 1913, 713, 11151, 519, 5467, 540, 519, 23573, 689, 7487, 519, 3504, 4589, 3312, 8247, 540, 519, 15102, 713, 568, 519, 1101, 13400, 646, 11119, 20750, 6625, 602, 11225, 563, 3891, 11119, 14039, 13031, 1919, 6854, 6456, 2094, 519, 5748, 540, 519, 1158, 585, 519, 12912, 942, 814, 2097, 269, 6258, 646, 11119, 585, 1863, 1353, 519, 646, 11119, 9904, 543, 4408, 540, 5601, 1174, 646, 11119, 8239, 543, 519, 646, 3630, 545, 14820, 540, 519, 23573, 2744, 3532, 4030, 883, 707, 22344, 5132, 798, 646, 11119, 23573, 1353, 606, 2228, 1576, 609, 5751, 267, 646, 11119, 8301, 267, 6863, 267, 12125, 267, 28085, 267, 543, 1454, 811, 269, 634, 927, 6352, 2065, 22344, 5939, 5795, 23146, 547, 519, 840, 7721, 14571, 540, 519, 3190, 11672, 267, 855, 568, 713, 1018, 519, 23573, 11414, 4534, 610, 568, 713, 1018, 519, 2038, 1007, 15266, 5939, 6956, 269, 1284, 3513, 1865, 519, 3312, 646, 11119, 267, 7132, 519, 1913, 543, 4408, 646, 11119, 568, 1644, 547, 267, 7132, 519, 1624, 675, 2325, 540, 713, 2012, 538, 519, 23573, 521, 1335, 568, 835, 540, 1614, 14930, 540, 1100, 1695, 267, 543, 1268, 5809, 1312, 513, 16023, 540, 519, 1480, 2247, 543, 513, 8984, 540, 1480, 2528, 521, 1335, 781, 1920, 540, 5033, 2572, 630, 528, 521, 1335, 2572, 264, 890, 641, 1194, 519, 682, 2779, 630, 2102, 8412, 476, 1015, 281, 2641, 268, 3953, 267, 476, 1556, 281, 1015, 268, 3953, 1040, 12355, 5072, 270, 1492, 3312, 5748, 270, 10517, 550, 766, 689, 530, 1731, 756, 23697, 267, 1930, 2835, 585, 606, 1930, 1158, 646, 11119, 5072, 713, 2262, 20475, 513, 9097, 1689, 540, 2247, 4724, 5609, 543, 10522, 513, 6857, 5837, 9668, 689, 5609, 543, 513, 3375, 547, 585, 338, 820, 621, 543, 3858, 609, 5601, 563, 1724, 268, 5400, 268, 1001, 274, 568, 621, 513, 7301, 27524, 30315, 1018, 568, 606, 4661, 610, 1079, 1996, 519, 10206, 602, 835, 568, 2239, 543, 519, 824, 9836, 1018, 827, 646, 11119, 3625, 7954, 269, 19978, 646, 11119, 552, 2173, 698, 8872, 621, 729, 713, 6602, 602, 19430, 803, 547, 1451, 519, 646, 11119, 1893, 538, 519, 646, 11119, 2247, 649, 616, 7768, 540, 1614, 9988, 1560, 267, 7362, 543, 2247, 538, 2104, 2152, 649, 786, 4983, 1142, 540, 891, 855, 585, 1631, 1577, 721, 3274, 1118, 930, 2489, 8847, 585, 873, 519, 1560, 568, 519, 17145, 267, 7633, 543, 1973, 267, 519, 6077, 269, 674, 5585, 337, 554, 633, 2247, 568, 513, 1239, 5599, 1907, 585, 519, 31300, 337, 6538, 540, 10344, 31300, 337, 554, 633, 2247, 568, 513, 3406, 2599, 607, 1134, 607, 606, 4603, 538, 519, 1379, 540, 11570, 517, 558, 625, 269, 31050, 543, 519, 28556, 12038, 519, 4412, 4854, 2262, 1369, 519, 2796, 540, 519, 646, 11119, 2528, 1439, 2053, 28897, 1590, 581, 6594, 609, 513, 646, 3630, 545, 2173, 785, 1305, 269, 23168, 1108, 1299, 519, 646, 11119, 2247, 2985, 476, 272, 27315, 5587, 651, 1765, 274, 270, 276, 270, 1220, 274, 6746, 1108, 543, 519, 646, 11119, 2247, 27315, 5587, 651, 267, 562, 4912, 476, 866, 267, 476, 1960, 279, 476, 1960, 279, 1491, 713, 1032, 267, 519, 1032, 540, 938, 18459, 267, 476, 1960, 279, 563, 1432, 1281, 621, 1611, 547, 723, 513, 3280, 2247, 27095, 5324, 476, 277, 267, 476, 1001, 278, 585, 5601, 554, 987, 711, 2016, 721, 519, 6891, 540, 4250, 855, 540, 1379, 267, 543, 540, 2648, 267, 543, 540, 513, 3280, 2247, 2443, 476, 273, 4626, 18333, 476, 272, 281, 278, 538, 8090, 540, 2566, 267, 2604, 267, 610, 4250, 610, 950, 596, 2461, 865, 25356, 596, 666, 1406, 1589, 2786, 267, 723, 596, 2479, 1044, 15673, 539, 547, 2161, 267, 968, 323, 792, 5601, 267, 1018, 568, 4636, 609, 803, 269, 4208, 19967, 5288, 646, 11119, 1317, 519, 7005, 1893, 568, 1759, 593, 519, 19967, 1893, 543, 3976, 519, 14820, 540, 1346, 945, 946, 621, 630, 15330, 15092, 270, 639, 264, 723, 513, 19967, 14820, 269, 5259, 267, 646, 11119, 267, 610, 513, 18769, 545, 630, 1495, 730, 585, 4666, 6402, 543, 6402, 2895, 1882, 593, 476, 279, 270, 1704, 270, 1001, 273, 264, 646, 11119, 2247, 5288, 19967, 2247, 4245, 646, 11119, 610, 19967, 646, 11119, 711, 19967, 1496, 1105, 1882, 316, 729, 519, 1007, 15266, 2854, 538, 646, 11119, 513, 4015, 540, 2963, 5885, 3312, 646, 11119, 268, 541, 4821, 545, 1007, 15266, 676, 28642, 959, 9404, 513, 646, 11119, 610, 563, 3891, 11119, 568, 1360, 1114, 621, 568, 513, 3182, 3645, 543, 859, 25607, 1893, 267, 621, 14753, 998, 922, 1378, 2497, 519, 8912, 646, 11119, 2262, 585, 5609, 849, 814, 1614, 5022, 865, 513, 9925, 2713, 538, 13400, 2053, 1131, 1294, 713, 2262, 543, 513, 4605, 1131, 5612, 1106, 538, 1010, 2247, 267, 540, 606, 15561, 3432, 532, 2509, 513, 3077, 267, 855, 2760, 18644, 621, 513, 27217, 2262, 610, 2856, 814, 269, 634, 3404, 5112, 7005, 13463, 11119, 8675, 1496, 1492, 3404, 5112, 8998, 585, 646, 11119, 543, 9925, 880, 2090, 316, 593, 32312, 1260, 1863, 11288, 593, 27216, 3091, 1631, 2139, 585, 519, 1101, 942, 538, 513, 1957, 3724, 3898, 267, 855, 1118, 909, 707, 593, 2247, 3370, 593, 15292, 476, 278, 267, 476, 1001, 276, 3046, 321, 4673, 524, 8350, 327, 476, 2412, 856, 540, 476, 276, 6801, 646, 11119, 1913, 1101, 1775, 729, 15691, 547, 1265, 513, 563, 3383, 713, 5012, 803, 547, 3494, 602, 519, 646, 11119, 1893, 3323, 538, 519, 10715, 540, 705, 12646, 267, 1615, 659, 610, 795, 659, 984, 630, 18141, 538, 2247, 519, 568, 5361, 2572, 1185, 547, 1451, 519, 5065, 512, 1735, 613, 540, 519, 666, 22528, 2572, 270, 874, 14535, 5974, 945, 941, 538, 519, 2244, 540, 568, 5361, 264, 519, 1292, 3815, 568, 1565, 519, 8731, 1695, 267, 543, 585, 602, 649, 1810, 1405, 991, 1022, 646, 11119, 12591, 547, 2417, 5397, 1753, 519, 269, 4400, 7547, 540, 1224, 519, 646, 11119, 23573, 281, 1451, 13400, 646, 11119, 2047, 689, 519, 2707, 649, 917, 596, 1810, 1405, 1616, 547, 6108, 1296, 1565, 13400, 646, 11119, 865, 596, 666, 1224, 519, 23573, 952, 596, 1689, 707, 2247, 585, 1022, 2601, 630, 528, 1100, 2601, 264, 538, 519, 1101, 476, 1789, 2395, 267, 1175, 2995, 721, 543, 596, 786, 1205, 1169, 1298, 540, 707, 2724, 1394, 865, 596, 666, 1449, 10377, 633, 519, 1576, 609, 269, 0, 299, 5271, 30602, 990, 747, 11487, 7322, 729, 513, 2101, 2797, 4137, 538, 519, 2490, 540, 519, 14206, 2540, 585, 519, 721, 338, 337, 630, 684, 542, 540, 865, 341, 2884, 1514, 1235, 1065, 28362, 923, 264, 513, 6390, 678, 17892, 269, 570, 12783, 5652, 543, 588, 16433, 1775, 1589, 602, 1510, 7708, 1206, 5652, 781, 9295, 547, 519, 4838, 621, 9327, 1405, 540, 1044, 513, 1967, 1775, 1589, 713, 1317, 7708, 1206, 5652, 729, 2322, 538, 269, 22255, 514, 543, 7708, 1206, 5652, 1557, 3214, 1451, 827, 519, 12092, 540, 642, 19921, 25504, 7003, 514, 267, 21340, 12316, 543, 15713, 4651, 540, 519, 865, 341, 2884, 9769, 2278, 269, 5131, 1557, 281, 4166, 1310, 682, 517, 8678, 513, 1353, 1895, 267, 1141, 646, 1558, 32406, 18588, 521, 758, 565, 990, 338, 10798, 320, 267, 513, 8284, 2261, 343, 626, 945, 2663, 2968, 1010, 7385, 1927, 682, 517, 543, 269, 5131, 1557, 281, 519, 3844, 12233, 1705, 711, 3858, 609, 7708, 1206, 5652, 779, 5718, 2511, 267, 4611, 538, 1010, 29997, 566, 593, 476, 275, 628, 5104, 569, 476, 4489, 280, 713, 729, 796, 29434, 3585, 563, 307, 12783, 5652, 1557, 27229, 267, 2901, 596, 616, 25031, 2614, 547, 2661, 538, 1747, 581, 516, 1111, 540, 13007, 543, 2146, 6891, 610, 596, 616, 519, 26019, 5018, 476, 279, 2641, 277, 325, 9229, 269, 26346, 4967, 585, 519, 554, 2675, 2413, 1686, 7209, 1353, 281, 682, 517, 7708, 1206, 5652, 713, 2407, 1305, 540, 4967, 616, 538, 1931, 540, 21038, 12297, 2798, 543, 616, 4843, 538, 513, 16517, 269, 15182, 7708, 1206, 5652, 1557, 267, 4444, 2688, 682, 517, 7708, 1206, 5652, 1557, 1957, 10464, 267, 682, 517, 7708, 1206, 5652, 1557, 1957, 3732, 267, 682, 517, 7708, 1206, 5652, 1557, 3732, 3028, 2228, 269, 5131, 1557, 281, 7708, 1206, 5652, 1412, 332, 2117, 1117, 262, 856, 540, 16395, 267, 2705, 519, 7525, 3463, 15054, 676, 24141 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3666, 5547, 585, 715, 9075, 4448, 538, 3126, 269, 634, 6007, 4871, 568, 9901, 676, 3586, 1699, 269, 3962, 6007, 568, 695, 2863, 539, 676, 513, 1016, 2275, 1844, 3726, 799, 568, 513, 22198, 6548, 11369, 28967, 739, 6460, 528, 568, 6007, 563, 19859, 19055, 518, 20798, 631, 9298, 476, 16348, 271, 21952, 30579, 476, 276, 309, 18452, 30579, 630, 516, 5570, 2105, 264, 476, 278, 268, 1321, 309, 18452, 30579, 630, 3916, 1080, 264, 476, 277, 268, 736, 309, 7913, 594, 23860, 623, 1231, 476, 7918, 630, 1993, 799, 476, 1428, 1683, 623, 310, 300, 3977, 264, 1323, 11530, 18452, 623, 1231, 476, 1626, 9823, 7351, 829, 594, 23860, 18237, 476, 2412, 332, 288, 9823, 7351, 585, 476, 274, 269, 274, 309, 18237, 476, 2004, 332, 288, 18044, 15350, 476, 16348, 22995, 540, 799, 476, 279, 22995, 1031, 676, 18849, 2903, 518, 22804, 4456, 476, 279, 298, 321, 661, 7968, 15375, 476, 275, 298, 321, 1849, 1442, 17726, 476, 1626, 300, 13703, 454, 19061, 1267, 2079, 454, 763, 15281, 4211, 323, 6007, 1210, 1934, 568, 476, 1911, 271, 332, 25105, 269, 9747, 950, 519, 12123, 1699, 476, 272, 288, 267, 621, 786, 1491, 827, 476, 272, 5662, 547, 9096, 519, 12123, 269, 769, 519, 4603, 267, 519, 12363, 1505, 568, 1210, 519, 2942, 18232, 966, 263, 27020, 309, 264, 602, 1797, 950, 519, 6453, 540, 519, 15281, 4211, 323, 6007, 814, 3459, 547, 6749, 519, 12123, 786, 3247, 269, 27020, 309, 568, 519, 5227, 2407, 7302, 1618, 7020, 585, 968, 13449, 6122, 611, 892, 19695, 2861, 5056, 619, 269, 27020, 309, 3091, 513, 2656, 3210, 942, 543, 1568, 1134, 609, 513, 13148, 610, 4628, 9901, 6007, 269, 1879, 29780, 513, 4628, 9901, 6007, 267, 519, 12363, 6453, 14380, 3533, 267, 543, 1287, 12772, 25921, 547, 9594, 519, 4712, 1533, 269, 634, 5279, 16569, 1152, 513, 1906, 3764, 543, 519, 2281, 2611, 3579, 269, 15281, 290, 323, 5056, 619, 1759, 593, 519, 27020, 309, 2407, 7302, 1618, 7020, 3335, 4431, 547, 513, 6453, 6749, 540, 476, 1015, 332, 309, 829, 1591, 269, 1677, 3489, 519, 2877, 6453, 267, 519, 5279, 2557, 1590, 581, 476, 271, 269, 276, 290, 543, 2362, 269, 590, 12294, 12123, 7472, 513, 1447, 3989, 6453, 6749, 267, 2523, 952, 519, 2281, 616, 25314, 520, 3481, 543, 1142, 10301, 2407, 5279, 693, 513, 1114, 942, 269, 4107, 5056, 619, 9192, 27020, 309, 609, 513, 6453, 29415, 18785, 602, 2165, 7149, 519, 5279, 950, 519, 6453, 3788, 538, 513, 11931, 1533, 585, 513, 2016, 942, 269, 1280, 3606, 3106, 267, 4359, 5056, 619, 849, 1331, 18232, 2837, 267, 6207, 2837, 543, 513, 942, 13050, 22245, 269, 3245, 713, 3113, 666, 581, 2938, 602, 538, 519, 4098, 540, 476, 1428, 3764, 267, 519, 6453, 540, 519, 6007, 3587, 1360, 5488, 689, 476, 272, 269, 274, 309, 547, 476, 272, 269, 277, 309, 269, 3973, 519, 6453, 786, 2333, 1360, 7444, 547, 476, 272, 269, 279, 309, 269, 2311, 519, 1439, 540, 12123, 267, 519, 15281, 4211, 323, 6007, 786, 723, 513, 1360, 1507, 6453, 6749, 827, 476, 271, 269, 4905, 309, 547, 476, 271, 269, 4962, 309, 269, 1879, 519, 29668, 518, 814, 13761, 519, 6453, 6749, 621, 786, 3247, 519, 12123, 5612, 563, 272, 316, 5244, 670, 2801, 8862, 5622, 269, 12390, 26284, 4149, 324, 758, 15281, 5336, 295, 6007, 29789, 609, 513, 9104, 1807, 1150, 10431, 6472, 1496, 305, 316, 14408, 292, 476, 31634, 4510, 278, 278, 267, 476, 1960, 277, 454, 715, 580, 613, 10458, 661, 1547, 11947, 2773, 19695, 5405, 491, 5471, 531, 3289, 20183, 6007, 585, 3167, 543, 10316, 6472, 5405, 375, 313, 5405, 377, 292, 966, 306, 268, 1428, 11065, 745, 343, 21304, 269, 1960, 279, 563, 918, 13034, 4275, 330, 11867, 8147, 288, 8160, 324, 20011, 543, 22718, 6396, 585, 23996, 17148, 4635, 513, 1715, 12197, 4578, 14635, 1062, 8147, 5271, 16435, 1704, 8147, 1220, 271, 563, 10790, 311, 8379, 6185, 21648, 18694, 16088, 18184, 25575, 821, 2529, 342, 3558, 5336, 1712, 9149, 266, 23996, 932, 24147, 8147, 1220, 272, 563, 15345, 698, 11867, 570, 27495, 5984, 8160, 534, 3011, 675, 540, 18520, 1325, 330, 13824, 645, 2660, 625, 1496, 303, 4940, 297, 303, 476, 271, 3374, 31798, 272, 269, 1960, 272, 268, 5881, 563, 2098, 295, 20315, 4537, 8500, 684, 267, 306, 7419, 297, 21628, 2041, 328, 267, 295, 308, 302, 313, 29538, 532, 269, 634, 17626, 2823, 2792, 540, 519, 2780, 543, 2582, 13863, 314, 297, 4940, 4457, 3163, 543, 5303, 6176, 267, 1220, 276, 630, 1015, 2567, 476, 9873, 268, 14530, 269, 0, 1103, 519, 713, 1982, 267, 596, 786, 1820, 856, 32412, 2862, 19603, 540, 519, 26636, 3554, 14500, 630, 335, 1112, 3293, 1657, 1916, 11243, 707, 1982, 454, 7312, 1982, 1058, 2307, 519, 3593, 585, 835, 1297, 282, 519, 8700, 540, 519, 14500, 563, 763, 1297, 602, 707, 1982, 24693, 1058, 1852, 519, 8700, 540, 519, 2694, 540, 519, 3774, 593, 2901, 2427, 540, 519, 1647, 540, 519, 4395, 540, 519, 14500, 563, 763, 4463, 540, 519, 14500, 630, 10175, 519, 20610, 264, 666, 2611, 519, 1482, 7488, 540, 519, 1871, 602, 519, 3593, 13788, 563, 19350, 616, 1896, 1806, 540, 713, 1982, 4881, 609, 1114, 3403, 2418, 3177, 563, 7312, 1982, 1058, 6474, 519, 1413, 540, 519, 17016, 4010, 563, 2791, 666, 946, 519, 8428, 1907, 547, 2638, 602, 707, 3977, 13292, 563, 31069, 8700, 281, 476, 272, 1547, 268, 11607, 269, 30585, 316, 1923, 268, 11607, 347, 30585, 316, 1923, 1923, 318, 347, 670, 1923, 318, 347, 1923, 1923, 1923, 1923, 670, 1923, 1923, 1923, 1923, 1923, 1923, 670, 1923, 1923, 1923, 1923, 318, 347, 26649, 317, 1475, 318, 347, 318, 2008, 31069, 8700, 281, 476, 276, 1547, 268, 11607, 269, 30585, 316, 1923, 268, 11607, 347, 30585, 316, 1923, 1923, 27702, 347, 670, 1923, 27702, 347, 1923, 1923, 1923, 1923, 670, 1923, 1923, 1923, 1923, 1923, 1923, 670, 1923, 1923, 1923, 1923, 318, 347, 1693, 26649, 317, 1475, 27702, 347, 318, 2008, 290, 770, 548, 8700, 281, 476, 1428, 1547, 268, 11607, 269, 30585, 316, 1923, 268, 11607, 347, 30585, 316, 1923, 1923, 3071, 1693, 13090, 347, 670, 1923, 3071, 1693, 13090, 347, 1923, 1923, 1923, 1923, 670, 1923, 1923, 1923, 1923, 1923, 1923, 670, 1923, 1923, 1923, 1923, 318, 347, 3071, 1693, 13090, 1475, 317, 1475, 3071, 1693, 13090, 347, 318, 2008, 30860, 602, 519, 8870, 1224, 538, 568, 1224, 538, 593, 513, 1007, 1899, 267, 543, 602, 972, 568, 606, 8900, 2230, 1063, 519, 1899, 1141, 519, 8870, 568, 1224, 538, 543, 519, 1101, 1899, 540, 519, 14500, 25142, 563, 2521, 2322, 527, 978, 513, 454, 14826, 693, 519, 1439, 540, 519, 3403, 5401, 5569, 547, 3398, 519, 8870, 593, 519, 1985, 1899, 10756, 12179, 8870, 1297, 476, 271, 610, 3152, 1058, 581, 6462, 563, 2791, 1810, 1406, 991, 547, 5855, 827, 7829, 2942, 2338, 267, 8454, 267, 610, 2338, 609, 17447, 563, 2791, 1058, 849, 1331, 513, 6085, 693, 519, 1283, 540, 519, 3009, 3758, 269, 634, 6085, 1058, 1331, 707, 2012, 543, 513, 2110, 6609, 540, 1018, 519, 1982, 1281, 269, 12989, 568, 513, 10959, 596, 949, 946, 912, 2162, 12693, 8191, 281, 2659, 8745, 3371, 12693, 13517, 281, 14674, 707, 1982, 609, 835, 12693, 610, 811, 5220, 540, 1257, 269, 12693, 454, 2791, 1058, 711, 946, 1022, 9226, 8021, 610, 2934, 602, 786, 711, 723, 1044, 4988, 676, 519, 942, 713, 13698, 568, 1813, 269, 1411, 1058, 581, 1210, 5569, 8691, 547, 1205, 519, 521, 1944, 540, 519, 3977, 2953, 269, 1411, 616, 711, 4847, 547, 946, 952, 15581, 906, 610, 585, 2000, 334, 3591, 269, 1284, 786, 581, 10992, 602, 707, 3009, 7208, 1571, 519, 4170, 267, 814, 1434, 2511, 267, 3092, 269, 25547, 1516, 2407, 2798, 593, 782, 540, 519, 24110, 322, 2100, 1449, 2665, 1281, 711, 10018, 596, 606, 589, 563, 1607, 13698, 568, 1813, 593, 14349, 267, 5130, 476, 866, 628, 693, 476, 278, 10975, 269, 12414, 538, 519, 1982, 3842, 24110, 322, 2100, 269, 10426, 532, 782, 1449, 2665, 1281, 711, 10018, 513, 3501, 3446, 269, 1411, 10455, 3009, 786, 849, 581, 28439, 593, 2511, 543, 11249, 269, 0, 19860, 29767, 269, 901, 3184, 8039, 519, 2164, 543, 2079, 540, 519, 12007, 1239, 267, 519, 269, 5675, 3848, 476, 275, 5153, 476, 273, 281, 7797, 10855, 2079, 540, 22097, 901, 1867, 5673, 593, 3067, 19241, 894, 519, 1353, 568, 11050, 610, 12007, 26592, 563, 11847, 15659, 3194, 28454, 269, 15020, 1419, 267, 596, 786, 723, 547, 2328, 5359, 269, 1280, 8897, 552, 2217, 7664, 25456, 19080, 3848, 476, 275, 2433, 4578, 5811, 1107, 589, 1863, 269, 901, 3184, 6257, 519, 2079, 540, 1239, 4553, 676, 513, 4901, 540, 519, 269, 634, 1106, 540, 707, 11271, 1058, 581, 5812, 609, 713, 1650, 543, 922, 3334, 269, 3848, 476, 275, 269, 634, 2470, 540, 1071, 3200, 11648, 689, 513, 2875, 269, 769, 1931, 547, 2328, 909, 707, 11050, 2164, 7157, 267, 596, 1590, 1101, 11291, 1896, 2596, 269, 13445, 476, 272, 281, 3848, 476, 275, 5098, 1383, 11050, 476, 275, 563, 1692, 798, 596, 1459, 707, 2164, 630, 31642, 5511, 21663, 5463, 476, 1240, 267, 476, 1001, 276, 269, 589, 26592, 5530, 540, 519, 8177, 540, 269, 19837, 10488, 13832, 3184, 476, 275, 5098, 1383, 11050, 513, 26592, 3194, 5530, 269, 10803, 10298, 2488, 11050, 2164, 3184, 12031, 2079, 543, 2123, 1557, 585, 8808, 16075, 602, 2882, 30260, 519, 2953, 9382, 267, 10647, 519, 4890, 563, 7078, 540, 5683, 3390, 5892, 6594, 281, 20587, 720, 540, 6114, 538, 269, 5675, 3848, 476, 274, 269, 3848, 476, 274, 281, 6396, 1108, 630, 23797, 5511, 1040, 3848, 476, 275, 281, 11778, 3848, 476, 276, 281, 17564, 269, 7348, 11872, 910, 3848, 476, 275, 19080, 3848, 476, 275, 5098, 1383, 11050, 689, 645, 6347, 476, 6200, 693, 12443, 23855, 545, 2160, 540, 519, 13372, 269, 18430, 563, 2791, 267, 540, 1576, 267, 786, 723, 547, 2328, 707, 1360, 1378, 1651, 28271, 540, 968, 577, 1986, 476, 275, 6100, 1280, 1383, 267, 519, 2606, 3184, 540, 513, 1257, 593, 2409, 538, 269, 4340, 547, 519, 2551, 267, 7305, 476, 275, 268, 272, 2982, 519, 3077, 3732, 7306, 585, 1142, 2127, 540, 1353, 563, 17273, 476, 275, 269, 3848, 8422, 281, 3194, 6396, 1108, 269, 11977, 681, 269, 16515, 1111, 525, 634, 10439, 18224, 540, 26592, 6176, 269, 2776, 1613, 519, 3919, 540, 3184, 476, 275, 269, 13445, 476, 272, 281, 3848, 476, 275, 269, 1548, 2115, 547, 581, 3769, 538, 519, 3184, 27085, 901, 3296, 814, 2185, 5301, 267, 621, 1058, 15545, 3367, 3184, 3848, 476, 275, 281, 1230, 7501, 543, 32505, 281, 13138, 24871, 23076, 31913, 3194, 5358, 630, 3722, 14641, 264, 5680, 268, 18744, 11657, 476, 276, 281, 4886, 540, 513, 563, 2750, 345, 332, 921, 476, 275, 910, 17564, 543, 2079, 540, 4681, 269, 8791, 476, 272, 281, 19837, 10488, 10959, 2497, 269, 6732, 6651, 547, 5675, 543, 3194, 269, 3848, 476, 275, 11553, 2464, 7728, 9569, 267, 589, 2793, 14877, 306, 3041, 6730, 29206, 303, 3918, 307, 9569, 5508, 667, 25353, 901, 3184, 6799, 519, 1239, 10356, 267, 519, 2164, 540, 519, 8579, 2079, 2944, 269, 634, 1382, 2409, 8045, 616, 10416, 11050, 267, 602, 568, 5619, 563, 307, 21764, 3184, 476, 275, 5098, 1383, 11050, 269, 589, 1434, 2856, 1131, 581, 547, 1224, 519, 3184, 593, 9695, 630, 663, 2523, 519, 269, 19120, 5511, 269, 536, 264, 4180, 602, 519, 11050, 5619, 19306, 782, 519, 2085, 10391, 3029, 540, 269, 32506, 1040, 476, 3066, 269, 3848, 476, 275, 281, 1548, 7726, 9894, 1411, 9105, 888, 2690, 3184, 476, 275, 5098, 1383, 11050, 6299, 7879, 267, 2347, 30667, 476, 272, 267, 476, 273, 267, 543, 476, 274, 269, 4828, 4876, 2619, 513, 981, 28500, 1353, 596, 786, 1964, 622, 519, 3184, 476, 275, 5098, 1383, 11050, 2055, 769, 513, 11050, 1353, 596, 786, 269, 7305, 476, 276, 269, 273, 18567, 540, 12726, 269, 3848, 476, 275, 281, 21885, 5071, 543, 19809, 540, 11778, 269, 634, 338, 573, 476, 279, 267, 476, 1220, 272, 269, 12007, 10004, 704, 11050, 4030, 538, 3384, 606, 8665, 2861, 2203, 540, 519, 552, 268, 16450, 563, 6637, 476, 275, 269, 9906, 5683, 1646, 676, 9015, 267, 1032, 543, 4008, 563, 19878, 476, 2537, 267, 476, 1001, 275, 269, 4516, 6780, 3609, 543, 12726, 269, 3057, 476, 280, 267, 476, 1001, 275, 269, 7305, 7170, 14474, 269, 769, 519, 2013 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1053, 13326, 3872, 22759, 609, 10333, 269, 634, 3804, 568, 547, 1118, 519, 1888, 3839, 543, 1187, 267, 26354, 7279, 827, 875, 621, 10039, 547, 4948, 1272, 269, 0, 3848, 7170, 281, 29460, 513, 7377, 16740, 565, 281, 3245, 14134, 518, 547, 8111, 28588, 2439, 5970, 596, 2479, 26927, 3139, 540, 4742, 513, 4583, 22256, 286, 9320, 596, 2648, 13465, 538, 519, 17643, 610, 7900, 693, 707, 1153, 781, 13007, 1397, 269, 4270, 267, 972, 616, 1004, 782, 1472, 519, 1158, 945, 2671, 602, 1482, 5326, 1107, 543, 930, 1256, 1205, 519, 4960, 547, 14526, 1996, 824, 16805, 2043, 547, 1294, 945, 666, 7001, 519, 12271, 540, 6634, 256, 901, 3184, 786, 6338, 596, 547, 519, 4241, 1158, 540, 1402, 7329, 11169, 543, 875, 789, 4473, 547, 21239, 998, 2442, 19194, 899, 7377, 16740, 565, 780, 288, 1402, 31561, 568, 9247, 513, 22530, 541, 22256, 945, 12374, 7839, 6284, 543, 740, 2610, 689, 11655, 269, 1452, 5159, 1419, 723, 2189, 9739, 267, 5863, 3942, 4527, 267, 543, 9159, 14789, 269, 1677, 1831, 513, 1402, 31561, 267, 1082, 14971, 12372, 3442, 547, 7119, 538, 13007, 2982, 4481, 2966, 547, 3605, 1007, 6801, 269, 2290, 971, 6735, 568, 1572, 7377, 16740, 565, 267, 799, 3323, 538, 519, 5177, 855, 2663, 6273, 2147, 2982, 5001, 267, 1519, 1977, 16740, 565, 780, 3086, 1577, 781, 4685, 883, 519, 1650, 540, 513, 1483, 3734, 1402, 31561, 3957, 717, 732, 628, 269, 18004, 538, 17659, 5112, 267, 4639, 31920, 267, 717, 732, 628, 8057, 909, 1175, 899, 1022, 8723, 4819, 269, 1717, 267, 7429, 1034, 1453, 1010, 2085, 267, 646, 3771, 321, 1819, 2462, 9909, 540, 1818, 621, 607, 513, 3811, 22459, 14693, 269, 2060, 2182, 960, 543, 11428, 267, 713, 21183, 7911, 9927, 883, 513, 8746, 1685, 518, 1318, 1354, 938, 4064, 1282, 519, 1360, 1101, 4005, 540, 7377, 16740, 565, 269, 4014, 646, 4769, 1405, 3094, 519, 2949, 6735, 267, 18138, 538, 2034, 1747, 267, 717, 732, 628, 3533, 9676, 3025, 781, 2295, 609, 1010, 9058, 5639, 543, 1524, 3562, 268, 24160, 7209, 780, 763, 9059, 2731, 5949, 1310, 519, 1397, 950, 2575, 26933, 8068, 717, 732, 628, 781, 10373, 1761, 269, 1261, 9896, 513, 10916, 4579, 543, 5423, 547, 5305, 1010, 26813, 2582, 910, 513, 3382, 4528, 540, 519, 5929, 5152, 1412, 4462, 577, 7134, 9253, 1328, 9538, 674, 753, 4682, 3552, 585, 717, 732, 628, 781, 9997, 995, 7664, 267, 11488, 519, 3950, 2786, 547, 519, 1283, 540, 519, 3703, 12125, 256, 898, 2968, 865, 2442, 602, 621, 12236, 2789, 31091, 24501, 267, 2495, 6455, 941, 11212, 1164, 269, 22682, 267, 6628, 7948, 1405, 1205, 2614, 540, 741, 21777, 1402, 14815, 780, 3719, 7227, 267, 972, 781, 811, 256, 717, 732, 628, 7012, 1405, 13854, 16889, 593, 1010, 31444, 3149, 282, 3079, 267, 646, 4797, 11319, 6302, 676, 16089, 1776, 5734, 2582, 11331, 1412, 12179, 821, 540, 2974, 630, 1805, 1575, 573, 27190, 820, 1040, 262, 4658, 6068, 922, 6952, 344, 19820, 543, 11541, 18405, 827, 2250, 3347, 269, 2311, 713, 1448, 267, 717, 732, 628, 4396, 1881, 1010, 2990, 607, 835, 540, 519, 4182, 781, 5172, 28245, 780, 2026, 952, 1373, 513, 21088, 7376, 14201, 1405, 11141, 2614, 267, 717, 732, 628, 4956, 547, 2319, 909, 609, 9039, 824, 982, 4024, 8479, 267, 519, 16771, 540, 519, 22305, 1116, 7377, 16740, 565, 4005, 269, 8625, 267, 891, 1079, 1379, 5264, 13047, 1235, 6592, 513, 4190, 5918, 564, 1572, 1412, 306, 639, 10086, 10508, 532, 11655, 10876, 269, 4256, 5698, 7152, 602, 3006, 2324, 1927, 666, 1291, 547, 1945, 5963, 9589, 780, 5804, 18803, 20297, 547, 14404, 2214, 8879, 1967, 267, 717, 732, 628, 781, 3460, 5713, 607, 513, 26124, 1383, 540, 1018, 666, 4755, 950, 6612, 10742, 8990, 269, 1924, 1985, 942, 596, 1265, 3054, 1554, 323, 3195, 532, 827, 588, 731, 558, 1247, 13465, 538, 4395, 540, 519, 11604, 267, 3314, 602, 4376, 568, 2009, 609, 2182, 960, 267, 2259, 267, 543, 6148, 513, 2370, 948, 689, 513, 7641, 13007, 1397, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 16352, 2094, 4421, 936, 476, 274, 2929, 5638, 538, 519, 2136, 8003, 4805, 267, 717, 732, 628, 814, 1831, 513, 7622, 2012, 1851, 3703, 2206, 619, 267, 11981, 5318, 8560, 1813, 547, 1010, 6909, 13047, 5759, 269, 1306, 971, 267, 646, 814, 1831, 835, 540, 519, 2197, 779, 19463, 28245, 269, 3245, 1010, 18803, 20297, 538, 519, 4639, 31920, 2749, 540, 17659, 5112, 267, 717, 732, 628, 4166, 1500, 606, 5920, 593, 519, 1360, 1101, 3126, 540, 7377, 16740, 565, 269, 27400, 1134, 2429, 519, 13007, 1397, 267, 717, 732, 628, 5555, 8737, 538, 2034, 1747, 269, 3571, 6909, 2773, 4166, 4718, 1864, 1129, 1010, 1101, 2594, 4308, 563, 298, 10107, 1055, 1010, 4876, 538, 519, 1857, 3750, 267, 717, 732, 628, 779, 14906, 819, 540, 1133, 577, 7134, 9253, 1328, 4718, 1864, 7088, 519, 3703, 12125, 689, 519, 856, 3553, 269, 1306, 513, 1267, 267, 717, 732, 628, 779, 1101, 2582, 729, 13752, 513, 3818, 13807, 11294, 636, 13995, 269, 717, 732, 628, 779, 2034, 2582, 267, 25175, 540, 2974, 630, 1805, 1575, 573, 27190, 820, 1070, 4547, 1864, 2417, 3007, 269, 5015, 267, 646, 849, 3459, 547, 12840, 609, 8284, 3703, 22256, 4024, 8479, 267, 945, 5128, 1185, 4465, 519, 7377, 16740, 565, 16311, 269, 8625, 267, 519, 5918, 334, 5950, 12246, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 16954, 16740, 11169, 257, 607, 851, 540, 834, 28765, 22723, 13493, 1315, 22335, 1299, 32532, 2762, 1315, 8535, 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, 513, 14297, 2749, 267, 972, 729, 513, 12051, 1141, 1082, 1004, 5249, 1169, 1554, 269, 2290, 1554, 267, 1945, 8966, 5949, 910, 930, 31244, 693, 519, 12051, 3323, 9117, 9490, 256, 634, 4600, 6785, 789, 1185, 547, 798, 1945, 3728, 267, 865, 789, 1572, 519, 27062, 17318, 5612, 780, 302, 1553, 518, 6341, 543, 20229, 5981, 267, 945, 7463, 538, 7829, 23292, 3457, 267, 3533, 8452, 693, 519, 6429, 269, 1358, 4718, 519, 15116, 31244, 543, 3893, 1318, 547, 960, 267, 3843, 547, 1832, 3025, 2922, 269, 2060, 741, 1702, 540, 2257, 543, 6297, 3946, 267, 789, 6707, 7307, 547, 1219, 2224, 519, 31244, 269, 15526, 521, 19042, 538, 8323, 6616, 602, 789, 941, 856, 540, 8594, 780, 2026, 519, 2319, 10356, 3544, 1310, 18138, 741, 2816, 267, 2370, 15207, 267, 5067, 540, 835, 540, 519, 4600, 267, 14059, 20229, 6341, 269, 30985, 267, 646, 4280, 267, 834, 3963, 4769, 1405, 1346, 31244, 979, 22820, 8119, 1677, 14183, 1010, 7279, 267, 20229, 6341, 6045, 875, 1978, 2326, 2746, 950, 5916, 267, 16089, 1648, 1510, 4929, 3595, 610, 10978, 4992, 269, 1261, 849, 5018, 602, 3006, 4648, 899, 2933, 1900, 538, 547, 2061, 10913, 780, 9617, 1287, 267, 6004, 269, 590, 2466, 1667, 267, 519, 12051, 9614, 267, 15336, 2509, 873, 609, 1434, 3377, 269, 1717, 267, 3079, 540, 9299, 2358, 741, 22838, 267, 646, 5143, 20229, 6341, 543, 20229, 5981, 602, 789, 9327, 1405, 991, 971, 2533, 15042, 1317, 519, 2754, 1336, 14949, 8925, 1107, 32030, 269, 901, 6397, 2490, 2451, 938, 12325, 4743, 25922, 543, 7255, 585, 519, 3106, 540, 1866, 267, 3450, 721, 782, 602, 1247, 1942, 1522, 3100, 13267, 7620, 267, 10115, 538, 6791, 5849, 3152, 3106, 543, 8171, 585, 3025, 3238, 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, 2108, 18404, 15844, 7128, 10986, 21751, 538, 14885, 1161, 1219, 4310, 519, 31244, 269, 2368, 476, 1911, 1004, 941, 2324, 3330, 519, 2030, 780, 17780, 593, 602, 5037, 666, 649, 9959, 602, 713, 4845, 568, 3020, 888, 763, 31244, 6926, 342, 909, 1354, 7128, 14885, 1161, 4966, 1223, 12446, 780, 303, 1157, 707, 2626, 689, 912, 268, 8786, 3248, 268, 898, 781, 7543, 547, 2161, 3248, 268, 3143, 3248, 268, 3143, 16963, 17780, 593, 519, 1344, 3177, 538, 519, 5037, 267, 649, 666, 9959, 602, 519, 4845, 834, 763, 31244, 6926, 342, 909, 1354, 7128, 14885, 1161, 4966, 1223, 12446, 257, 568, 711, 3020, 269, 634, 5037, 2829, 602, 519, 7128, 10986, 21751, 538, 14885, 1161, 1219, 4310, 519, 31244, 267, 799, 6920, 602, 519, 31244, 1705, 711, 1011, 1712, 1354, 741, 12625, 269, 3958, 267, 972, 941, 476, 1911, 1004, 2324, 3330, 519, 2030, 267, 799, 10522, 602, 789, 941, 711, 4299, 676, 1022, 16411, 267, 2417, 5885, 519, 3932, 602, 519, 31244, 1705, 711, 9514, 909, 1354, 519, 7128, 14885, 1161, 4966, 1223, 12446, 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, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 256, 1315, 23591, 24800, 19841, 341, 9226, 692, 258, 1982, 669, 6734, 318, 604, 318, 272, 18258, 692, 320, 815, 703, 263, 3863, 17750, 2891, 5575, 1297, 281, 476, 27328, 321, 815, 703, 263, 3863, 17750, 2891, 13553, 1297, 281, 476, 834, 11723, 604, 513, 2999, 536, 912, 825, 1820, 513, 267, 834, 529, 1447, 982, 2580, 536, 454, 19197, 513, 2652, 536, 912, 825, 1820, 513, 267, 834, 529, 3160, 547, 2580, 536, 454, 12828, 912, 825, 1820, 513, 267, 834, 529, 3152, 982, 2580, 536, 692, 2745, 834, 4517, 602, 781, 519, 5168, 4799, 2745, 834, 14187, 1532, 6614, 5016, 692, 0, 258, 256, 1315, 23591, 24800, 270, 7090, 692, 14142, 1103, 815, 6151, 17750, 263, 834, 11767, 5569, 547, 694, 778, 538, 281, 834, 12467, 11034, 4263, 1103, 815, 6151, 17750, 263, 834, 11767, 4358, 4087, 540, 694, 778, 281, 476, 834, 12467, 14142, 2690, 815, 6151, 17750, 263, 834, 11767, 5569, 547, 694, 659, 9071, 585, 281, 834, 25589, 11034, 4263, 815, 703, 263, 11034, 4263, 1103, 2020, 11398, 4263, 815, 3406, 1103, 26098, 263, 3406, 2690, 267, 1376, 4263, 3738, 16963, 2745, 1412, 28062, 834, 262, 1341, 3406, 2690, 1341, 1412, 257, 3299, 1412, 520, 3299, 1336, 4263, 454, 0, 5035, 19147, 13286, 263, 2750, 4003, 2567, 1780, 692, 3698, 7941, 31262, 263, 26318, 267, 27708, 2187, 14851, 27708, 2652, 476, 271, 912, 453, 453, 19587, 300, 20687, 815, 834, 19667, 529, 528, 815, 834, 1341, 1193, 5560, 643, 529, 528, 264, 1341, 834, 799, 3112, 581, 4642, 4840, 453, 453, 571, 1047, 19147, 13286, 267, 5470, 300, 20687, 454, 453, 24987, 815, 10581, 5560, 1204, 754, 264, 1315, 10581, 5560, 643, 529, 528, 994, 13537, 834, 763, 2626, 815, 14307, 2626, 454, 16596, 2626, 454, 0, 5814, 4351, 454, 5814, 2979, 454, 5228, 1187, 551, 8962, 1104, 2569, 19638, 12163, 825, 1323, 1367, 538, 513, 2551, 454, 825, 562, 815, 1297, 540, 15596, 4773, 543, 21021, 8700, 540, 4604, 454, 825, 6060, 815, 8516, 540, 519, 1367, 454, 825, 5027, 815, 513, 1592, 540, 9981, 1141, 519, 4994, 568, 519, 1535, 4717, 543, 519, 1871, 568, 519, 586, 4717, 454, 825, 7711, 287, 287, 5027, 666, 581, 4824, 676, 2141, 10451, 513, 4351, 855, 2189, 5027, 609, 1100, 18110, 2418, 454, 825, 7711, 287, 287, 9320, 1459, 834, 15893, 540, 5116, 4773, 257, 607, 513, 4357, 4756, 888, 12163, 5035, 10572, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 562, 267, 8261, 5091, 3534, 22561, 2187, 1038, 1582, 8542, 815, 562, 454, 1038, 1582, 269, 16557, 815, 910, 272, 454, 1038, 952, 8261, 5091, 3534, 568, 7183, 912, 2018, 1582, 6185, 2793, 815, 4351, 4732, 2217, 8443, 328, 1341, 476, 272, 585, 1775, 538, 2039, 3799, 264, 3910, 562, 994, 1038, 3116, 912, 2018, 1582, 6185, 2793, 815, 8261, 5091, 3534, 692, 825, 1219, 6449, 1598, 9191, 1345, 2187, 1038, 1427, 815, 1820, 318, 1467, 4311, 8542, 267, 834, 5602, 1038, 585, 1775, 538, 2039, 4311, 8542, 2187, 2018, 585, 795, 267, 1130, 538, 26246, 4311, 6185, 2793, 2187, 3546, 1427, 815, 1427, 1341, 834, 347, 304, 301, 257, 952, 1775, 1341, 476, 272, 2652, 1130, 3116, 1427, 1341, 834, 347, 476, 27029, 2018, 1427, 6834, 834, 24689, 333, 4840, 2018, 1427, 815, 1820, 318, 1467, 4311, 8542, 267, 1427, 994, 1038, 2132, 1427, 454, 825, 8173, 1038, 12433, 519, 6060, 676, 10992, 519, 8880, 543, 15497, 4655, 563, 1038, 8074, 281, 567, 26432, 7526, 616, 711, 2009, 1317, 1142, 15596, 22595, 513, 6241, 454, 1038, 7711, 287, 287, 2368, 11974, 616, 32118, 1862, 594, 666, 2569, 513, 715, 2608, 715, 2638, 883, 715, 1341, 630, 301, 910, 476, 272, 264, 2638, 454, 1038, 7711, 287, 287, 654, 1180, 1359, 952, 1582, 269, 16557, 910, 2036, 514, 568, 2877, 1862, 3097, 825, 8173, 825, 1219, 1205, 23962, 4311, 2187, 1038, 952, 1582, 269, 16557, 568, 910, 476, 272, 912, 2018, 5116, 815, 1582, 8542, 910, 1582, 6185, 2793, 29644, 263, 271, 994, 2018, 2036, 514, 815, 703, 263, 31419, 2608, 630, 31419, 910, 476, 272, 264, 1315, 476, 273, 994, 2018, 1582, 269, 16557, 815, 476, 271, 454, 2018, 1582, 269, 16557, 6834, 2638, 5091, 328, 21192, 4311, 6185, 2793, 994, 1038, 2132, 1582, 269, 16557, 692, 825, 1219, 1205, 5091, 3534, 4311, 2187, 1038, 2132, 1582, 6185, 2793, 7531, 12163, 825, 18452, 2433, 31252, 630, 6570, 540, 21802, 4773, 593, 519, 4604, 994, 825, 19243, 281, 703, 692, 825, 476, 271, 1797, 602, 972, 616, 1100, 8880, 7526, 454, 825, 26228, 1871, 568, 562, 2608, 630, 333, 910, 476, 272, 264, 1315, 476, 273, 2495, 782, 562, 4773, 616, 20898, 909, 23276, 454, 12163, 3698, 2638, 318, 1817, 714, 7267, 5560, 3534, 2187, 825, 562, 815, 7003, 5560, 3534, 264, 910, 31252, 29644, 263, 271, 994, 825, 6060, 815, 562, 2608, 630, 333, 910, 476, 272, 264, 1341, 562, 454, 825, 585, 1535, 267, 586, 538, 26246, 5560, 3534, 2187, 1038, 1948, 16289, 31252, 547, 1496, 271, 316, 585, 5786, 454, 1038, 6060, 20699, 2569, 10857, 10033, 9041, 8999, 267, 28364, 281, 9041, 8999, 1341, 476, 272, 952, 28364, 2652, 586, 543, 28364, 568, 711, 476, 271, 3116, 9041, 8999, 267, 1496, 271, 316, 1341, 31252, 994, 825, 2132, 6060, 7531, 12163, 825, 18452, 2433, 31252, 630, 6570, 540, 21802, 4773, 593, 519, 4604, 994, 825, 19243, 281, 703, 692, 825, 476, 271, 1797, 602, 972, 616, 1100, 15497, 7526, 454, 825, 26228, 1871, 568, 562, 2608, 630, 333, 910, 476, 272, 264, 1315, 476, 273, 2495, 782, 562, 4773, 616, 20898, 909, 25241, 958, 454, 12163, 3698, 2638, 5091, 328, 21192, 263, 6570, 2187, 825, 1948, 570, 7495, 302, 2859, 6099, 5690, 2009, 454, 825, 562, 815, 7003, 263, 6570, 264, 910, 2990, 29644, 263, 271, 994, 825, 6060, 815, 562, 2608, 630, 333, 910, 476, 272, 264, 1315, 476, 273, 1341, 562, 454, 825, 2938, 815, 11713, 825, 585, 1535, 272, 267, 586, 272, 538, 26246, 263, 6570, 2187, 1038, 585, 1535, 273, 267, 586, 273, 538, 26246, 263, 6570, 2187, 2018, 952, 2938, 29644, 3287, 273, 264, 568, 476, 271, 912, 3546, 952, 2612, 3287, 272, 910, 1535, 273, 264, 2652, 2612, 12169, 272, 910, 586, 273, 264, 543, 586, 272, 2608, 586, 273, 568, 711, 476, 271, 912, 7386, 6060, 20699, 476, 272, 454, 1038, 2938, 6910, 3287, 272, 994, 825, 2132, 6060, 7531, 12163, 825, 13139, 585, 8228, 606, 1367, 454, 12163, 3698, 1820, 318, 1467, 3799, 267, 1130, 2187, 825, 585, 1775, 538, 2039, 3799, 2187, 1038, 1130, 6834, 834, 269, 734, 4840, 825, 2132, 1130, 1341, 834, 26142, 333, 4840, 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 12163, 32046, 593, 9045, 9484, 476, 1691, 476, 1626, 281, 6860, 281, 6860, 476, 1001, 280, 692, 17958, 4970, 353, 14748, 21550, 486, 23521, 354, 14395, 508, 27064, 364, 22047, 421, 502, 509, 28578, 8147, 14395, 490, 29873, 421, 502, 509, 28578, 7511, 303, 2313, 25520, 16954, 418, 497, 491, 30853, 25707, 20701, 5035, 8827, 912, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 14714, 871, 272, 815, 11713, 1038, 1582, 14714, 871, 273, 815, 11713, 8931, 825, 1219, 7903, 4311, 267, 6843, 2187, 1038, 1948, 2328, 3009, 1934, 454, 1038, 1582, 14714, 871, 272, 6910, 27316, 994, 13872, 825, 1219, 1402, 4311, 2187, 1038, 1948, 2132, 1535, 343, 454, 1038, 952, 1582, 14714, 871, 273, 912, 2018, 2132, 1582, 14714, 871, 273, 21014, 4590, 1038, 952, 1582, 14714, 871, 272, 912, 2018, 1247, 1582, 14714, 871, 272, 912, 3546, 1582, 14714, 871, 273, 6910, 4311, 14714, 871, 272, 21014, 15405, 2018, 2132, 1582, 14714, 871, 273, 21014, 4590, 13872, 825, 1219, 8900, 4311, 264, 9847, 536, 944, 912, 1038, 8173, 1038, 16849, 2436, 519, 20313, 568, 8900, 563, 1038, 8173, 1038, 2132, 630, 2254, 1582, 14714, 871, 272, 264, 543, 630, 2254, 1582, 14714, 871, 273, 2020, 303, 815, 8827, 4590, 303, 4877, 2313, 263, 1015, 994, 303, 4877, 2313, 263, 1556, 994, 303, 4877, 2313, 263, 1321, 994, 2745, 27456, 21014, 15405, 303, 4877, 2313, 263, 1724, 994, 2745, 27456, 21014, 19572, 303, 269, 24105, 15405, 2745, 27456, 21014, 19572, 303, 269, 24105, 15405, 2745, 27456, 21014, 19572, 303, 269, 24105, 15405, 2745, 27456, 21014, 28829, 0, 5035, 8827, 912, 825, 1219, 4102, 305, 624, 4120, 22704, 4311, 267, 15627, 264, 9847, 703, 912, 1038, 3259, 815, 7003, 263, 515, 2074, 994, 1038, 3193, 338, 336, 815, 476, 271, 454, 1038, 15627, 27044, 263, 271, 267, 476, 271, 994, 1038, 15627, 6910, 263, 271, 994, 1038, 10518, 815, 1496, 271, 2639, 1038, 585, 1775, 538, 2039, 263, 272, 267, 3259, 1341, 476, 273, 2187, 2018, 1948, 28859, 360, 502, 18021, 355, 20992, 515, 2074, 314, 23637, 15631, 272, 14963, 7511, 419, 509, 358, 25051, 351, 23746, 23284, 419, 350, 362, 27936, 29072, 267, 31006, 12571, 492, 19540, 491, 6572, 1775, 454, 2018, 1247, 630, 515, 2074, 5157, 316, 2999, 15627, 314, 23637, 15631, 272, 14963, 2187, 3546, 1820, 2891, 16647, 2580, 10518, 267, 15627, 314, 23637, 15631, 272, 316, 3910, 15627, 314, 23637, 15631, 273, 316, 7481, 3546, 513, 815, 10518, 21014, 4590, 3546, 3193, 338, 336, 815, 3193, 32384, 338, 336, 267, 15627, 314, 320, 316, 2608, 630, 328, 910, 10518, 15631, 272, 316, 910, 476, 272, 4917, 3546, 1820, 263, 23637, 267, 3193, 338, 336, 994, 2018, 10518, 6910, 9217, 994, 2018, 1820, 2891, 6572, 2580, 10518, 2020, 1038, 2132, 3193, 338, 336, 7531, 338, 1828, 815, 8827, 4590, 19417, 815, 1496, 273, 267, 476, 272, 267, 476, 276, 267, 476, 277, 267, 476, 273, 267, 476, 274, 2639, 2745, 4433, 1828, 7456, 17999, 305, 624, 4120, 22704, 263, 19417, 4917, 19417, 815, 1496, 272, 267, 476, 274, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 273, 267, 476, 272, 2639, 2745, 4433, 1828, 7456, 17999, 305, 624, 4120, 22704, 263, 19417, 4917, 19417, 815, 1496, 273, 267, 476, 273, 2639, 2745, 4433, 1828, 7456, 17999, 305, 624, 4120, 22704, 263, 19417, 4917, 0, 26611, 23591, 24800, 270, 7090, 274, 454, 18851, 18905, 3014, 20701, 454, 3698, 6305, 3287, 2187, 825, 5727, 18905, 1297, 12163, 825, 585, 1775, 538, 2039, 263, 273, 267, 1535, 2187, 1038, 952, 1535, 4939, 1775, 2652, 476, 271, 912, 2018, 2132, 8771, 454, 825, 2132, 6936, 7531, 3698, 678, 332, 3799, 267, 16354, 2187, 825, 5727, 24525, 12163, 825, 585, 1775, 538, 2039, 12759, 3799, 332, 15892, 1038, 952, 16354, 5157, 316, 4939, 562, 2652, 476, 271, 912, 2018, 16354, 5157, 316, 815, 476, 271, 7531, 3698, 568, 310, 27903, 3287, 267, 15358, 2187, 825, 5727, 18905, 3014, 12163, 825, 952, 711, 15358, 610, 1535, 2999, 476, 272, 912, 1038, 2132, 7183, 454, 825, 544, 815, 476, 271, 454, 825, 536, 815, 476, 271, 454, 825, 585, 1775, 538, 2039, 3287, 2187, 1038, 512, 815, 476, 271, 454, 1038, 16354, 815, 1592, 263, 9792, 263, 272, 267, 15358, 5157, 27994, 272, 4917, 1038, 1247, 6936, 912, 2018, 524, 815, 8771, 454, 2018, 585, 737, 267, 562, 538, 26246, 3799, 332, 2187, 3546, 952, 562, 3436, 476, 272, 543, 6305, 3799, 2187, 7386, 678, 332, 3799, 267, 16354, 994, 7386, 524, 815, 6936, 454, 7386, 512, 6834, 476, 272, 454, 7386, 2736, 454, 2018, 952, 524, 568, 8771, 912, 3546, 2736, 454, 1038, 952, 512, 4939, 476, 273, 11203, 476, 271, 912, 2018, 544, 6834, 476, 272, 454, 1038, 3116, 912, 2018, 536, 6834, 476, 272, 454, 825, 952, 544, 2999, 536, 912, 1038, 2132, 834, 13051, 4840, 825, 952, 544, 3436, 536, 912, 1038, 2132, 834, 300, 7559, 4840, 825, 2132, 7183, 454, 0, 26611, 23591, 24800, 270, 7090, 274, 454, 12163, 31262, 11711, 9041, 1118, 4219, 263, 23915, 267, 2698, 994, 20701, 454, 3698, 1118, 27087, 263, 23915, 267, 2698, 2187, 825, 5727, 24708, 1689, 1599, 454, 825, 11113, 281, 1592, 540, 11113, 454, 825, 2698, 281, 2698, 1293, 12163, 825, 521, 815, 476, 271, 454, 825, 512, 815, 476, 271, 454, 825, 952, 711, 11113, 610, 11113, 568, 7183, 912, 1038, 2132, 910, 272, 454, 825, 952, 2698, 10922, 476, 271, 912, 1038, 2132, 476, 271, 454, 825, 11113, 31699, 263, 516, 2091, 18989, 994, 825, 1775, 815, 476, 271, 454, 825, 1247, 1775, 10922, 7003, 263, 23915, 264, 910, 476, 272, 912, 1038, 952, 630, 338, 1341, 11113, 5157, 316, 10922, 2698, 2187, 2018, 521, 6834 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 313, 8085, 308, 9358, 8025, 29206, 303, 3918, 307, 6730, 13138, 3198, 20784, 12442, 631, 4953, 4338, 295, 27633, 5442, 16777, 289, 3918, 310, 18161, 4953, 23802, 281, 4888, 661, 6573, 7644, 13965, 29898, 454, 20082, 289, 10041, 9954, 1118, 3573, 946, 540, 23199, 799, 1644, 547, 519, 2528, 540, 519, 3312, 5830, 269, 901, 1353, 7710, 875, 2098, 21343, 6107, 538, 3162, 4000, 4612, 930, 540, 891, 23199, 689, 741, 2796, 269, 898, 849, 5795, 873, 519, 4316, 547, 14377, 930, 13400, 23199, 585, 741, 9263, 31228, 267, 1210, 2592, 602, 616, 811, 6209, 547, 873, 269, 4256, 15885, 1397, 930, 16367, 7664, 540, 519, 12355, 5931, 267, 3226, 609, 2463, 547, 741, 946, 540, 1007, 23199, 630, 21865, 538, 606, 9450, 1106, 1040, 1452, 1007, 23199, 4043, 547, 581, 1369, 519, 1482, 6389, 607, 1346, 538, 519, 3312, 1257, 7868, 13509, 7915, 538, 14165, 6035, 2230, 585, 519, 2098, 21343, 6107, 547, 6338, 1007, 630, 663, 16367, 264, 11052, 538, 24758, 23199, 689, 1776, 2528, 269, 634, 1184, 568, 4502, 14178, 547, 824, 2950, 547, 10802, 938, 1620, 540, 875, 1004, 689, 1114, 8658, 13498, 543, 1589, 563, 288, 18308, 11677, 10677, 543, 9886, 519, 4750, 1318, 540, 1101, 8313, 609, 519, 960, 8195, 13931, 896, 513, 11300, 12780, 21922, 17821, 602, 2636, 1866, 547, 2671, 519, 960, 609, 606, 11760, 618, 540, 519, 960, 781, 4589, 1222, 543, 3355, 8313, 538, 713, 4750, 563, 1607, 568, 606, 1930, 1569, 4760, 267, 543, 519, 4589, 543, 4760, 1058, 581, 5265, 17019, 267, 950, 1568, 616, 11855, 563, 288, 18308, 949, 946, 519, 21101, 4528, 585, 3450, 5301, 267, 538, 2835, 267, 519, 4513, 267, 4744, 31277, 267, 19014, 543, 10554, 4574, 563, 288, 5299, 540, 519, 4589, 685, 21101, 4528, 949, 849, 581, 18799, 593, 519, 1739, 7270, 912, 268, 6348, 10687, 14293, 2123, 2546, 610, 5816, 563, 268, 2382, 6627, 2546, 563, 268, 22439, 2382, 6627, 3115, 12141, 563, 763, 1739, 5469, 1058, 13173, 971, 513, 20171, 593, 519, 3896, 281, 968, 1607, 568, 606, 5907, 4528, 540, 606, 2376, 3370, 538, 14644, 3120, 267, 11730, 2473, 18958, 267, 1297, 2473, 18958, 267, 3817, 2473, 18958, 1700, 18958, 311, 5608, 20396, 269, 22439, 1058, 849, 3761, 513, 5409, 15062, 547, 519, 3312, 1957, 610, 5815, 1141, 519, 3312, 1957, 630, 10674, 2517, 27771, 3120, 12459, 712, 11594, 28482, 269, 5633, 9706, 889, 264, 949, 581, 1336, 563, 288, 18308, 21101, 4528, 267, 28337, 609, 519, 853, 749, 523, 321, 657, 577, 2160, 786, 581, 8850, 20024, 538, 519, 2160, 779, 685, 2382, 6627, 3115, 12141, 590, 7419, 306, 3273, 541, 563, 9209, 2873, 607, 513, 2898, 267, 949, 711, 581, 556, 1790, 21242, 609, 1776, 4760, 563, 763, 1739, 12689, 10039, 281, 0, 2691, 649, 723, 7285, 888, 2252, 1079, 3515, 538, 519, 1482, 7077, 616, 1142, 13902, 547, 513, 3791, 1899, 538, 602, 7077, 267, 1287, 789, 616, 6252, 269, 8564, 513, 5858, 689, 972, 949, 723, 1114, 7436, 267, 649, 616, 540, 12730, 616, 676, 4946, 513, 6906, 3959, 269, 4855, 602, 10596, 693, 2547, 835, 1073, 339, 2224, 543, 568, 30801, 6906, 3959, 2829, 602, 713, 3959, 2829, 602, 616, 3160, 5011, 540, 29105, 616, 8650, 7285, 3160, 269, 3767, 2139, 538, 568, 30801, 6906, 3959, 2829, 602, 616, 4330, 593, 3601, 269, 5637, 5011, 540, 1535, 345, 543, 3113, 267, 536, 616, 3160, 5011, 616, 3160, 5011, 616, 6587, 547, 513, 2110, 1899, 563, 301, 2100, 267, 594, 3893, 621, 563, 1103, 568, 30801, 6906, 3959, 666, 1294, 602, 649, 723, 7285, 616, 3160, 547, 17429, 576, 811, 4152, 1344, 827, 24045, 286, 1323, 3742, 20478, 786, 8850, 5710, 1142, 824, 269, 8028, 568, 519, 13902, 20312, 10725, 540, 9474, 269, 4855, 782, 519, 7164, 7285, 538, 519, 4137, 693, 1318, 269, 4147, 1518, 12730, 723, 513, 6906, 3959, 2829, 602, 649, 786, 8850, 5710, 1142, 5086, 3601, 666, 568, 30801, 6906, 3601, 7285, 6587, 2427, 269, 9612, 585, 930, 3601, 11341, 547, 568, 30801, 6906, 3601, 7285, 540, 7285, 540, 519, 7285, 540, 922, 3490, 269, 1548, 568, 519, 3017, 1063, 513, 14584, 5086, 543, 7299, 7285, 286, 1411, 786, 1265, 513, 1592, 540, 782, 519, 5259, 5022, 543, 741, 4408, 693, 519, 1439, 540, 713, 3296, 563, 2252, 543, 2687, 547, 1142, 824, 5086, 538, 713, 1344, 827, 922, 5011, 6587, 547, 1174, 543, 13902, 20312, 10725, 547, 2312, 707, 18920, 7329, 1934, 269, 1924, 789, 616, 568, 30801, 12730, 543, 7285, 543, 782, 7285, 286, 4746, 2070, 938, 4530, 16721, 8249, 585, 811, 4152, 1344, 269, 20556, 798, 789, 616, 568, 30801, 269, 901, 3959, 666, 581, 7152, 538, 1896, 2081, 269, 4855, 5086, 586, 538, 519, 1318, 6906, 3254, 2630, 269, 1548, 616, 2027, 12730, 286, 8729, 585, 513, 20372, 609, 922, 3601, 666, 568, 30801, 6906, 3601, 7285, 609, 713, 1267, 666, 581, 606, 24936, 11703, 1062, 609, 707, 11422, 568, 1317, 621, 568, 8197, 3020, 585, 8370, 269, 898, 568, 1317, 891, 2164, 2285, 721, 590, 6347, 4341, 799, 568, 711, 2141, 4570, 610, 3020, 585, 17602, 775, 540, 12730, 269, 898, 5654, 899, 4773, 540, 3601, 540, 5086, 267, 13502, 543, 1747, 540, 1957, 269, 769, 568, 30801, 12730, 616, 3957, 1850, 543, 7285, 949, 723, 513, 5547, 286, 1403, 1079, 12730, 2687, 547, 568, 30801, 6906, 3601, 7285, 543, 3601, 563, 15612, 908, 9095, 3259, 540, 513, 10126, 540, 5858, 689, 519, 5276, 3259, 1063, 1439, 2798, 585, 513, 2577, 1441, 5374, 8258, 602, 786, 581, 2759, 883, 12415, 269, 19244, 713, 3959, 666, 568, 30801, 596, 1616, 547, 23822, 610, 7222, 3959, 2829, 602, 1004, 4974, 2979, 24983, 269, 5606, 963, 848, 6487, 519, 1871, 540, 2348, 2959, 596, 666, 3972, 269, 1215, 1082, 2053, 568, 674, 295, 3476, 982, 7460, 286, 5269, 707, 1126, 513, 4569, 6056, 518, 267, 519, 19923, 655, 987, 1259, 269, 1548, 616, 1318, 267, 8650, 267, 1073, 339, 2224, 543, 16846, 7285, 286, 24911, 1749, 616, 21083, 538, 3337, 269, 1656, 538, 2474, 540, 519, 7285, 267, 621, 1797, 602, 519, 1079, 3490, 7285, 267, 1346, 4867, 26484, 538, 10538, 267, 1590, 581, 3160, 547, 1142, 824, 269, 8729, 585, 1631, 267, 568, 30801, 6906, 3959, 666, 513, 6906, 616, 21412, 269, 7756, 5086, 3800, 616, 20922, 1210, 1114, 7436, 267, 607, 609, 1114, 2427, 13080, 269, 8074, 602, 519, 1079, 1899, 12415, 616, 3274, 1098, 951, 1023, 281, 789, 12969, 1079, 6252, 3515, 269, 1284, 3112, 8263, 602, 267, 950, 519, 7285, 540, 29977, 616, 3160, 267, 519, 29977, 616, 21412, 563, 763, 3601, 7282, 6252, 3515, 543, 2189, 12753, 1063, 741, 5086, 12730, 1858, 547, 2070, 4967, 547, 2327, 596, 286, 901, 6906, 616, 8650, 7285, 621, 949, 723, 513, 6292, 540, 713, 269, 8058, 799, 568, 568, 30801, 6906, 3959, 269, 1548, 568, 519, 2040, 540, 519, 9703, 7285, 540, 513, 6906, 286, 2290, 540, 519, 15997, 568, 2016, 1934, 269, 2913, 721, 602, 616, 3160, 5011, 950, 649, 917, 827, 1022, 6906, 602, 7862, 540, 29977, 952, 538, 269, 1323, 568, 30801, 6906, 3959, 540, 7285, 616, 1079, 5011, 616, 849, 2070, 938, 5373, 10924, 547, 4734, 803, 513, 3061, 15939, 286, 769, 799, 2099, 891, 9076, 559, 831, 1023, 267, 1287, 7285, 540, 606, 1073, 339, 2224, 12730, 723, 835, 6906, 3959, 666, 3362, 581, 5249, 1510, 946, 269, 901, 5086, 3601, 602, 616, 568, 30801, 12730, 610, 10156, 982, 547, 1491, 930, 7285, 888, 14813, 963, 848, 568, 513, 4704, 543, 1565, 3135, 267, 9256, 519, 9115, 540, 606, 22605, 267, 513, 8675, 267, 606, 693, 20393, 543, 1896, 620, 2006, 30929, 16041, 609, 5013, 269, 5565, 5011, 616, 3160, 543, 1079, 7285, 616, 3160, 538, 6482, 269, 3962, 568, 30801, 6906, 3959, 666, 3398, 610, 1312, 12730, 286, 1411, 616, 711, 4847, 547, 4688, 2592, 256, 2368, 540, 873, 786, 2097, 909, 538, 519, 9046, 5590, 269, 13332, 539, 513, 7406, 609, 5169, 269, 20099, 4559, 616, 585, 707, 4704, 1152, 2094, 519, 1871, 540, 519, 4611, 13080, 786, 2141, 581, 519, 1482, 1100, 2339, 1018, 519, 4559, 616, 269, 1403, 519, 20312, 10725, 540, 606, 5086, 538, 513, 6906, 10742, 519, 6587, 2427, 693, 922, 30268, 267, 1287, 519, 6906, 568, 568, 30801, 269, 1879, 649, 666, 568, 30801, 1318, 12730, 616, 568, 30801, 6906, 3601, 7285, 286, 634, 20478, 786, 8850, 5710, 1142, 3923, 2394, 23545, 539, 269, 898, 568, 568, 30801, 12730, 616, 13322, 318, 29977, 616, 21412, 547, 2721, 513, 1297, 563, 2791, 917, 952, 711, 4847, 547, 891, 1079, 5011, 543, 8746, 538, 1082, 2053, 267, 6808, 4191, 616, 593, 938, 4277, 6906, 286, 589, 7374, 267, 2094, 789, 616, 7222, 7285, 540, 21412, 12730, 269, 901, 3959, 666, 5351, 12166, 4542, 269, 3629, 3877, 543, 2671, 707, 1382, 256, 2913, 721, 1491, 930, 1806, 547, 4019, 891, 2164, 269, 14419, 519, 3259, 540, 2473, 313, 543, 2473, 312, 269, 27449, 540, 3601, 540, 513, 6825, 2427, 602, 713, 7411, 568, 606, 568, 30801, 12730, 581, 606, 568, 30801, 6906, 616, 568, 30801, 6906, 3601, 7285, 616, 269, 1879, 513, 1978, 1826, 676, 1585, 3601, 540, 568, 30801, 6906, 3959, 540, 513, 10927, 689, 1210, 521, 1087, 267, 855, 930, 3601, 540, 13551, 20312, 624, 513, 7222, 267, 950, 649, 991, 948, 12835, 1657, 269, 634, 7285, 593, 5892, 5249, 1510, 10479, 568, 513, 851, 1510, 10479, 568, 513, 1592, 786, 8850, 5710, 1142, 824, 1510, 10479, 568, 547, 3490, 7285, 269, 6733, 1586, 693, 1034, 1271, 2596, 12166, 5546, 602, 705, 543, 5086, 540, 606, 2626, 610, 25671, 1355, 814, 563, 11997, 972, 616, 1100, 7285, 540, 3601, 540, 741, 2042, 596, 2386, 596, 723, 6252, 267, 513, 1187, 5013, 827, 606, 8650, 12730, 2630, 786, 2097, 909, 269, 1323, 15820, 568, 3254, 607, 513, 546, 14414, 1899, 538, 519, 6906, 2630, 269, 4935, 12730, 602, 616, 519, 1482, 2450, 543, 3337, 616, 21412, 269, 17546, 5622, 2488, 519, 1655, 1543, 2139, 256, 1703, 616, 513, 1297, 540, 3347, 538, 713, 6516, 269, 1411, 666, 1100, 3476, 1689, 2042, 585, 713, 7688, 269, 4856, 22046, 532, 7285, 538, 568, 30801, 6906, 568, 606, 5086, 3601, 540, 29105, 286, 4855, 856, 543, 2840, 330, 4752, 1491, 930, 3601, 540, 11667, 267, 707, 10130, 616, 269, 6258, 1018, 568, 5156, 602, 814, 1044, 29499, 593, 3601, 666, 581, 25216, 269, 5606, 963, 848, 6487, 519, 7285, 540, 519, 12730, 267, 543, 2200, 593, 938, 3896, 1281, 621, 568, 606, 1226, 328, 9771, 269, 25214, 267, 29890, 3459, 607, 519, 1353, 540, 12730, 543, 741, 3601, 563, 2171, 946, 713, 1344, 547, 1459, 519, 2953, 6437, 543, 547, 2123, 1047, 1543, 547, 1732, 2743, 519, 2115, 540, 938, 3755, 269, 4746, 519, 5086, 568, 711, 3769, 1063, 519, 3160, 8424, 540, 5011, 269, 634, 1699, 1353, 1900, 1826, 568, 281, 6744, 4812, 269, 1684, 596, 547, 568, 30801, 6906, 3959, 2829, 602, 2995, 596, 666, 1079, 21412, 5011, 8167, 958, 3476, 982, 547, 1265, 513, 1863, 1576, 269, 4147, 1518, 12730, 547, 2057, 10997, 585, 1022, 1079, 7285, 616, 21412, 952, 782, 12730, 609, 2110, 1899, 15340, 543, 30494, 616, 269, 8564, 513, 3376, 946, 713, 3959, 2829, 602, 568, 568, 30801, 12730, 267, 649, 786, 1265, 513, 1880, 1383, 269, 3657, 596, 6998, 585, 606, 2626, 9003, 538, 2474, 540, 28070, 9511, 888, 16100, 693, 4001, 5622, 2488, 6030, 585, 930, 3601, 11341, 547, 513, 6906, 267, 5086, 616, 568, 30801, 6906, 581, 6825, 3515, 269, 4855, 519, 3259, 540, 519, 7164, 2427, 538, 519, 6906, 2630, 269, 2290, 4137, 814, 1079, 5011, 540, 5858, 689, 782, 741, 2609, 269, 634, 9589, 4542, 540, 1133, 545, 1941, 27910, 548, 256, 3502, 2386, 827, 519, 11585, 540, 519, 1647, 7532, 286, 3962, 16590, 568, 7768, 540, 1114, 2042, 269, 2983, 6248, 5515, 602, 666, 581, 9863, 607, 5376, 916, 543, 16538, 5086, 267, 649, 5402, 1020, 2981, 1049, 9511, 2055, 2228, 1576, 1631, 649, 991, 513, 13551, 705, 7251, 543, 1451, 269, 3807, 1711, 707, 9511, 282, 4063, 602, 2154, 24263, 543, 7285, 616, 4330, 593, 513, 6906, 3959, 2829, 602, 27652, 343, 6906, 616, 12730, 616, 6825, 2427, 568, 269, 634, 1739, 2055, 543, 4547, 538, 606, 9095, 593, 513, 4062, 540, 1957, 543, 1858, 540, 513, 1259, 547, 1265, 269, 634, 1482, 4341, 10039, 547, 519, 10545, 21092, 5086, 543, 2427, 543, 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 ]
[ 811, 2693, 547, 581, 8886, 730, 676, 6464, 267, 24470, 267, 543, 6526, 27509, 538, 2472, 602, 2097, 883, 3346, 609, 621, 269, 4658, 602, 13027, 547, 971, 6878, 949, 849, 1995, 30919, 610, 16698, 689, 7802, 610, 11508, 269, 4340, 547, 12135, 10292, 267, 27496, 2090, 7150, 602, 6213, 2960, 538, 2021, 9775, 689, 476, 2004, 268, 8618, 260, 543, 476, 1789, 268, 2412, 260, 538, 2367, 563, 291, 12938, 5505, 798, 711, 723, 513, 17046, 24920, 547, 946, 547, 3313, 2960, 8417, 269, 1677, 23754, 707, 2960, 1826, 267, 2628, 3007, 547, 707, 2960, 779, 5114, 269, 769, 2241, 2474, 267, 6213, 2960, 568, 711, 513, 2564, 5868, 855, 513, 1455, 3390, 563, 6624, 2188, 2014, 519, 2960, 547, 1205, 6213, 267, 899, 7050, 1118, 5346, 267, 936, 7721, 9110, 2747, 267, 11158, 3441, 267, 1932, 1454, 14933, 610, 4568, 267, 7296, 267, 4057, 2732, 267, 3668, 540, 3207, 267, 10792, 2472, 270, 532, 19263, 267, 3092, 269, 16164, 4713, 543, 824, 13027, 6547, 971, 607, 26253, 267, 887, 338, 25445, 267, 610, 13027, 3346, 27150, 616, 824, 3123, 269, 28246, 3819, 1145, 610, 13676, 2960, 602, 666, 1100, 3476, 2149, 8229, 30804, 666, 849, 1291, 547, 6213, 2960, 269, 2368, 1919, 3112, 581, 6417, 267, 971, 607, 6527, 267, 1072, 2042, 267, 11959, 267, 3092, 1421, 855, 596, 666, 2057, 513, 1906, 1919, 676, 7446, 513, 2635, 6197, 563, 16032, 16164, 3249, 13705, 710, 585, 11576, 1438, 16164, 454, 7312, 2960, 3249, 6296, 949, 581, 519, 1655, 13525, 540, 2436, 596, 723, 6213, 2960, 269, 28392, 3442, 2472, 602, 9290, 707, 2960, 1826, 543, 4465, 1406, 9594, 707, 2960, 547, 27506, 269, 3371, 616, 513, 1906, 4388, 585, 2870, 513, 2960, 3249, 6296, 602, 779, 5078, 585, 6213, 2960, 912, 8196, 561, 8123, 342, 1301, 1216, 585, 26349, 454, 290, 19143, 532, 568, 519, 1101, 1900, 538, 2960, 3249, 269, 1280, 1004, 945, 723, 3819, 2960, 610, 12225, 1227, 6213, 2960, 267, 1210, 3905, 1216, 593, 519, 2960, 1247, 28876, 666, 2014, 621, 547, 3819, 267, 11523, 543, 1205, 1166, 21294, 269, 11408, 946, 561, 8123, 342, 1301, 1216, 547, 2973, 572, 519, 3068, 543, 513, 9543, 5848, 584, 6500, 26063, 563, 5475, 26349, 267, 9522, 619, 1683, 513, 2647, 2039, 540, 2640, 267, 1519, 13326, 519, 2960, 779, 9063, 2157, 267, 25695, 519, 2960, 267, 543, 9427, 1022, 29886, 21225, 610, 13897, 269, 1411, 949, 1616, 547, 946, 513, 9522, 518, 585, 6213, 2960, 855, 1058, 3251, 2476, 689, 1346, 19775, 609, 513, 11415, 550, 5820, 610, 513, 2603, 540, 4568, 269, 28651, 585, 606, 4568, 6954, 9522, 518, 602, 3568, 7646, 267, 25695, 267, 3289, 7992, 5820, 563, 32513, 4548, 2232, 1585, 2960, 2152, 630, 323, 1046, 9634, 267, 5386, 3515, 267, 32060, 264, 538, 519, 1655, 2009, 1259, 543, 616, 513, 1390, 1840, 547, 519, 19070, 531, 540, 2960, 3249, 269, 2836, 754, 3121, 568, 513, 1379, 5264, 12146, 538, 16796, 585, 6213, 2960, 269, 769, 1840, 547, 5144, 5946, 267, 824, 27386, 21555, 899, 3039, 7401, 666, 865, 6139, 2960, 16698, 267, 1247, 682, 322, 603, 514, 666, 3986, 707, 2960, 779, 8825, 11064, 543, 3625, 8886, 1218, 689, 10024, 563, 288, 15074, 610, 1216, 2861, 5848, 584, 6500, 568, 1655, 585, 971, 2960, 1826, 269, 6008, 518, 2312, 540, 6526, 27509, 543, 3442, 513, 1875, 10687, 539, 8328, 8645, 269, 1677, 1205, 519, 1655, 2164, 267, 946, 621, 593, 14927, 2960, 267, 543, 713, 786, 3289, 3433, 707, 2960, 543, 11677, 7509, 563, 25444, 6487, 875, 1271, 24429, 568, 269, 4595, 930, 24429, 5820, 666, 2014, 13027, 6547, 267, 1413, 585, 3283, 602, 2270, 13058, 12547, 610, 24489, 8166, 269, 11576, 1438, 2960, 4991, 4299, 3362, 676, 2825, 14107, 543, 10792, 3141, 12345, 269, 3550, 596, 5957, 513, 3376, 1606, 1051, 5300, 24429, 609, 9501, 293, 476, 1789, 610, 2362, 585, 1655, 2164, 563, 306, 7219, 3249, 2472, 609, 10792, 5820, 267, 6704, 1932, 1454, 6995, 610, 4568, 267, 7296, 267, 711, 3478, 2614, 3207, 267, 543, 1082, 824, 3123, 540, 6213, 2960, 666, 581, 14284, 610, 31965, 269, 898, 786, 948, 865, 6139, 1312, 6923, 6213, 2960, 543, 17303, 22740, 1242, 2960, 563, 16032, 21558, 9615, 585, 11576, 1438, 16164, 454, 299, 6471, 2126, 666, 3927, 1521, 1034, 2960, 2042, 267, 689, 6477, 7695, 547, 18383, 26711, 543, 4332, 12201, 269, 1809, 950, 621, 2501, 547, 1004, 609, 6213, 2960, 2010, 267, 789, 723, 8766, 5079, 267, 543, 789, 991, 547, 581, 16496, 269, 3371, 568, 513, 6749, 16365, 1592, 540, 519, 1655, 8955, 5574, 563, 293, 3555, 531, 2910, 273, 21558, 9615, 454, 293, 3555, 531, 2910, 273, 22795, 2126, 616, 705, 331, 894, 22795, 1031, 547, 1521, 811, 7096, 2960, 20924, 267, 26711, 267, 543, 32060, 543, 616, 5078, 585, 1169, 2960, 1826, 269, 6733, 585, 606, 4810, 3318, 547, 1685, 8955, 2126, 865, 602, 596, 3035, 513, 1390, 6364, 269, 4658, 609, 6213, 2960, 991, 547, 5965, 585, 513, 3476, 6051, 1184, 267, 543, 789, 949, 849, 1745, 28349, 1282, 519, 7067, 942, 269, 589, 17934, 2280, 11656, 11919, 1223, 948, 3432, 519, 7067, 1184, 543, 2333, 519, 2960, 779, 6043, 563, 1103, 519, 21777, 4528, 540, 2910, 273, 8955, 759, 584, 325, 5217, 630, 325, 3555, 730, 2910, 273, 1070, 1507, 24421, 539, 1769, 1648, 630, 4385, 607, 16600, 1790, 6160, 539, 610, 6024, 1769, 11237, 264, 568, 9447, 538, 513, 17655, 4806, 547, 4894, 6094, 6106, 540, 2960, 609, 8766, 3002, 3441, 269, 18401, 942, 568, 827, 1079, 4374, 563, 1607, 2126, 6971, 32060, 267, 3141, 3441, 267, 535, 3547, 6960, 9634, 543, 18383, 26711, 269, 898, 666, 2417, 267, 16756, 1804, 22405, 267, 6109, 29345, 3101, 2960, 267, 543, 2569, 519, 4191, 540, 10172, 269, 898, 568, 2922, 585, 782, 2960, 2010, 8754, 1568, 1134, 585, 4509, 1390, 2960, 610, 2810, 741, 2960, 8516, 1377, 269, 21558, 11132, 5574, 3895, 519, 2504, 540, 1007, 20018, 538, 519, 2960, 563, 2005, 568, 519, 1034, 6899, 2126, 540, 782, 22795, 269, 2755, 19606, 7959, 25695, 267, 922, 2640, 616, 3564, 2960, 11546, 788, 269, 19606, 568, 1634, 585, 922, 19469, 2360, 267, 4313, 1377, 267, 543, 2647, 2039, 540, 2640, 269, 898, 3096, 962, 8980, 8955, 2029, 693, 1970, 1648, 609, 24421, 539, 5468, 602, 7930, 1628, 909, 3002, 547, 12954, 519, 2960, 779, 2539, 6106, 269, 634, 8955, 1648, 9900, 646, 1846, 6106, 540, 5160, 538, 519, 546, 1069, 529, 267, 3850, 621, 547, 581, 811, 2500, 563, 16032, 18467, 547, 5516, 585, 11576, 1438, 16164, 454, 2005, 568, 519, 1034, 1950, 2960, 1826, 543, 6157, 2115, 2027, 1416, 269, 898, 568, 3006, 1360, 13943, 547, 4308, 609, 971, 2960, 2010, 269, 1717, 267, 693, 21969, 7431, 267, 930, 4966, 666, 948, 596, 4308, 609, 1585, 2960, 2152, 519, 1655, 1259, 269, 3776, 7189, 616, 4966, 538, 5356, 513, 2647, 2039, 540, 2960, 3249, 5574, 267, 1519, 6477, 7695, 267, 18383, 10077, 267, 2960, 1769, 2287, 267, 543, 811, 269, 3883, 606, 13393, 609, 21969, 7431, 543, 581, 519, 1007, 596, 256, 0, 763, 1648, 10710, 666, 581, 2322, 2509, 5488, 2208, 269, 17667, 3653, 689, 3165, 814, 1360, 2370, 20919, 538, 621, 267, 865, 513, 1164, 5122, 19428, 538, 519, 12748, 3070, 538, 6864, 777, 9582, 568, 10355, 2479, 513, 6161, 269, 1323, 5117, 568, 513, 2146, 540, 15025, 7103, 267, 543, 519, 4611, 1604, 2813, 269, 5637, 1949, 723, 10486, 543, 3604, 602, 1590, 581, 2808, 1354, 4358, 513, 1788, 540, 713, 4336, 269, 2755, 9870, 3165, 949, 711, 9029, 547, 3025, 267, 972, 616, 513, 1906, 5383, 547, 1210, 6864, 777, 9582, 5288, 269, 19558, 9582, 281, 476, 272, 264, 28524, 13985, 777, 9582, 568, 513, 16045, 538, 519, 8835, 7896, 20941, 4889, 919, 5358, 267, 607, 1134, 607, 824, 24988, 5121, 2966, 547, 1683, 513, 1797, 585, 4609, 547, 7118, 13180, 676, 16046, 547, 2472, 269, 519, 1184, 568, 1572, 15203, 269, 1411, 786, 3622, 723, 2362, 11729, 3379, 547, 2757, 12202, 538, 1312, 19558, 9582, 543, 6864, 777, 9582, 1949, 269, 3371, 594, 1592, 1524, 476, 278, 1292, 10486, 1063, 13985, 777, 9582, 543, 10281, 1886, 9582, 281, 5637, 6864, 777, 9582, 543, 19558, 9582, 1949, 946, 1216, 607, 741, 1292, 3490, 585, 3395, 2371, 269, 18421, 602, 596, 1451, 666, 581, 9846, 4294, 547, 707, 2371, 267, 1256, 952, 596, 6430, 547, 1039, 824, 1949, 547, 707, 4540, 3484, 269, 2368, 7786, 971, 607, 17178, 21746, 267, 30293, 267, 543, 555, 686, 1186, 666, 1831, 16609, 538, 2901, 1062, 267, 855, 5521, 1852, 568, 14320, 811, 4101, 538, 6864, 777, 9582, 269, 13985, 777, 9582, 568, 7620, 513, 811, 7199, 3395, 1505, 269, 1284, 539, 5452, 616, 849, 711, 7856, 676, 5017, 610, 6410, 689, 4677, 5127, 547, 4677, 5127, 593, 519, 2842, 610, 12202, 28352, 269, 5637, 7098, 641, 9582, 543, 19558, 9582, 8428, 689, 2048, 613, 641, 9582, 8730, 1775, 4318, 1421, 3395, 2371, 538, 3037, 267, 607, 519, 5567, 616, 12842, 676, 2371, 998, 741, 5072, 1310, 789, 23271, 538, 1216, 269, 13985, 777, 9582, 814, 513, 2362, 5201, 1942, 2094, 519, 1062, 3340, 513, 2362, 1377, 540, 5135, 566, 538, 519, 1216, 547, 1489, 519, 3165, 269, 2311, 1101, 267, 621, 949, 3100, 30137, 547, 1332, 2371, 1510, 1022, 3037, 267, 855, 19558, 9582, 568, 606, 6946, 1062, 602, 1568, 1732, 982, 519, 2757, 1505, 540, 3395, 2371, 538, 3037, 269, 1717, 267, 3079, 540, 4946, 18168, 547, 519, 1216, 547, 1683, 5567, 267, 899, 1018, 568, 2944, 538, 19558, 9582, 267, 3165, 616, 6738, 8195, 538, 519, 12748, 1604, 547, 1711, 513, 1623, 25027, 2078, 602, 2164, 538, 606, 11212, 3608, 1062, 269, 3509, 3494, 602, 6864, 777, 9582, 568, 513, 1732, 4781, 936, 19558, 9582, 950, 7446, 513, 865, 650, 612, 3395, 1062, 269, 13985, 777, 9582, 3096, 6225, 14471, 547, 1205, 5567, 585, 519, 2371, 269, 1411, 786, 4440, 4898, 1018, 1909, 519, 3165, 1404, 538, 782, 713, 1870, 269, 12518, 6738, 538, 865, 650, 612, 1949, 1332, 593, 3328, 476, 1789, 268, 2004, 260, 5488, 982, 1346, 521, 1144, 2047, 883, 519, 3037, 269, 1306, 6864, 777, 9582, 9388, 609, 3395, 3165, 267, 519, 19993, 3070, 1590, 581, 9243, 610, 1152, 5594, 15755, 630, 24992, 476, 277, 269, 279, 543, 476, 278, 269, 271, 15426, 13985, 777, 9582, 5932, 606, 3592, 7357, 1582, 1606, 11211, 267, 19039, 569, 4264, 5117, 609, 1360, 1447, 1554, 547, 1554, 5826, 269, 634, 1543, 540, 713, 2361, 568, 6854, 4357, 543, 786, 711, 581, 3254, 15597, 269, 901, 568, 2219, 547, 581, 513, 1463, 1267, 540, 519, 17973, 538, 519, 6864, 777, 9582, 1062, 267, 543, 519, 4611, 4222, 538, 519, 12046, 540, 519, 2030, 6738, 538, 602, 1604, 269, 13985, 777, 9582, 568, 7620, 513, 811, 7199, 3395, 1505, 269, 634, 3165, 3653, 6383, 786, 6923, 1711, 606, 15755, 1604, 267, 865, 621, 779, 2629, 547, 6895, 9063, 2157, 5702, 269, 13985, 777, 9582, 3217, 827, 513, 3923, 547, 1376, 519, 1062, 269, 1879, 3395, 2371, 538, 513, 19558, 9582, 4259, 267, 519, 1332, 518, 1590, 21237, 16956, 4733, 4195, 12748, 3070, 267, 11544, 538, 18168, 547, 1711, 519, 3617, 8770, 2157, 269, 769, 6864, 777, 9582, 267, 519, 17973, 6460, 519, 20342, 689, 519, 3165, 3653, 883, 6491, 27866, 543, 1287, 883, 6491, 6233, 269, 10281, 1886, 9582, 3085, 1406, 991, 2620, 3395, 2923, 547, 1489, 519, 2371, 610, 3597, 1949, 269, 1284, 4076, 1175, 8737, 519, 1628, 540, 513, 1507, 267, 855, 3309, 13985, 777, 4577, 1062, 538, 938, 4677, 543, 594, 6557, 9599, 547, 2671, 713, 1007, 1702, 609, 596, 269, 13985, 777, 9582, 568, 513, 1623, 25027, 1604, 1141, 519, 12748, 2831, 685, 11166, 610, 3653, 20555, 519, 2371, 3395, 593, 1283, 267, 543, 519, 2371, 4894, 6757, 2157, 540, 3653, 689, 7213, 6819, 538, 519, 1216, 269, 10281, 1886, 9582, 5288, 269, 13985, 777, 9582, 1107, 589, 13159, 267, 543, 12968, 652, 18948, 676, 7665, 910, 2063, 9337, 593, 5412, 476, 280, 267, 476, 1708, 271, 267, 476, 272, 281, 6021, 10681, 1306, 2757, 6683, 2501, 896, 22987, 1813, 547, 922, 22281, 539, 8801, 2360, 593, 519, 1604, 1107, 22930, 540, 2067, 2200, 267, 12526, 540, 1216, 2959, 267, 21568, 540, 10991, 3114, 11378, 269, 1323, 6864, 777, 9582, 1062, 849, 814, 1447, 1554, 547, 1554, 5826, 2899, 519, 1062, 568, 909, 543, 8647, 693, 922, 8445, 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 ]
[ 5732, 2014, 1978, 1072, 4220, 547, 519, 24584, 3993, 543, 519, 4816, 269, 1452, 1072, 4220, 1331, 912, 268, 20031, 1155, 4332, 454, 268, 14451, 4332, 2597, 540, 519, 4816, 454, 268, 8899, 1973, 7280, 2157, 538, 519, 4816, 693, 519, 942, 540, 4332, 454, 268, 1323, 2333, 538, 519, 1297, 540, 2021, 3384, 840, 324, 743, 10102, 807, 1282, 6379, 454, 268, 1323, 2333, 538, 1973, 2604, 538, 9176, 2021, 563, 2026, 5018, 1657, 267, 29556, 3987, 5543, 1407, 1739, 6379, 269, 24930, 2356, 2638, 519, 4807, 779, 1973, 4006, 2157, 1310, 6765, 543, 1287, 1586, 1369, 3670, 4374, 269, 7490, 3136, 547, 1224, 547, 1451, 811, 827, 29556, 3987, 2589, 543, 875, 7189, 13209, 621, 563, 9827, 3367, 1107, 1684, 779, 1656, 5213, 685, 1206, 1879, 1411, 5620, 12128, 454, 1432, 616, 519, 4191, 1299, 2589, 888, 294, 652, 1049, 3987, 949, 711, 2014, 6654, 2589, 267, 607, 1082, 2242, 666, 581, 2147, 547, 3339, 3987, 269, 769, 1034, 2665, 267, 29556, 3987, 3085, 1406, 2014, 7298, 2589, 269, 1403, 596, 1020, 29556, 3987, 22577, 2589, 267, 789, 949, 581, 7646, 267, 971, 607, 1373, 19818, 1512, 982, 3339, 543, 811, 7928, 30614, 563, 19102, 1078, 19818, 543, 811, 7928, 30614, 616, 2009, 2589, 269, 4033, 2009, 2589, 1331, 15353, 267, 23324, 5075, 267, 9854, 267, 4006, 538, 519, 10729, 267, 3665, 19818, 267, 7928, 15485, 267, 543, 21420, 610, 2960, 5563, 269, 6468, 7231, 609, 1007, 610, 8966, 3987, 22577, 2589, 1282, 6379, 1058, 2911, 547, 741, 4387, 269, 634, 4387, 949, 581, 2111, 547, 2697, 2436, 1352, 814, 2919, 29556, 3987, 22577, 610, 1022, 824, 2783, 563, 1432, 3123, 29556, 3987, 888, 13436, 547, 7392, 476, 273, 3987, 267, 29556, 3987, 950, 519, 1560, 568, 1100, 3476, 2111, 547, 4431, 3927, 547, 7378, 269, 634, 2783, 568, 1419, 5219, 547, 607, 7378, 4187, 269, 1879, 1560, 2281, 798, 711, 5265, 10110, 7280, 267, 4006, 568, 538, 519, 1973, 267, 4611, 538, 2799, 7280, 2157, 17729, 593, 1973, 4255, 269, 6184, 6081, 4187, 538, 9176, 2021, 2101, 569, 10953, 1813, 547, 17441, 2242, 563, 294, 652, 1049, 3987, 4386, 1317, 540, 726, 659, 1581, 10399, 267, 621, 666, 2333, 4187, 538, 11630, 2043, 269, 1452, 666, 2333, 7378, 4187, 538, 11630, 2043, 269, 898, 568, 1869, 711, 6956, 1946, 930, 2021, 1810, 1406, 20496, 891, 10399, 1134, 543, 6038, 1020, 29556, 3987, 563, 8448, 2242, 1282, 6379, 267, 971, 607, 4189, 267, 16706, 1447, 267, 543, 2348, 3677, 3170, 12074, 267, 666, 2285, 4473, 547, 7378, 4187, 269, 1452, 2242, 1450, 519, 3395, 21565, 1569, 547, 811, 5567, 269, 634, 4807, 779, 1560, 9104, 919, 676, 6721, 811, 7378, 267, 855, 3006, 1256, 713, 3063, 7378, 568, 16283, 547, 1832, 7280, 2157, 3339, 267, 4611, 538, 3987, 563, 15703, 2188, 2333, 513, 9176, 2021, 779, 1981, 540, 3384, 29556, 3987, 267, 1519, 912, 268, 589, 2123, 610, 1920, 1686, 540, 29556, 3987, 454, 268, 4400, 1973, 2604, 454, 268, 589, 1920, 1686, 540, 7392, 476, 273, 3987, 454, 268, 9861, 14968, 610, 11543, 1932, 1454, 1282, 6379, 454, 268, 9861, 4587, 982, 476, 1839, 1296, 2025, 454, 268, 2776, 16227, 2348, 606, 32584, 1869, 19689, 610, 31761, 454, 26170, 267, 930, 2021, 1510, 1022, 1981, 2188, 1020, 29556, 3987, 1813, 547, 741, 22166, 540, 726, 659, 1581, 10399, 563, 288, 4387, 949, 13209, 29556, 3987, 22577, 538, 2021, 1282, 513, 6296, 1072, 2638, 5346, 540, 9176, 2021, 269, 15380, 267, 789, 786, 2307, 519, 9176, 4807, 875, 1352, 7959, 543, 2307, 585, 513, 10729, 3732, 269, 1403, 789, 1336, 519, 4527, 540, 4006, 538, 519, 10729, 3732, 267, 789, 949, 2932, 513, 9584, 585, 29556, 3987, 269, 4107, 2021, 786, 10929, 513, 9584, 1449, 585, 29556, 3987, 22577, 1063, 476, 2190, 543, 476, 2764, 4374, 540, 6379, 269, 6468, 609, 606, 2799, 1981, 540, 3384, 29556, 3987, 22577, 949, 991, 811, 7928, 4152, 563, 2252, 2732, 543, 3635, 616, 13385, 547, 4383, 707, 1973, 7280, 2157, 267, 596, 949, 991, 7378, 15833, 547, 2539, 707, 1973, 4006, 269, 2368, 2021, 609, 29556, 3987, 991, 7378, 547, 3914, 741, 1973, 4006, 9072, 563, 5278, 7189, 21559, 5711, 6527, 547, 4383, 519, 2126, 540, 1973, 4006, 269, 2755, 1866, 3494, 811, 1382, 568, 2838, 547, 6166, 602, 5711, 4550, 26817, 12185, 8069, 616, 2922, 543, 607, 2500, 607, 7630, 762, 7378, 538, 5883, 29556, 3987, 269, 1411, 666, 849, 4444, 1095, 18587, 2228, 269, 4039, 328, 629, 2401, 343, 874, 1301, 2329, 568, 519, 32343, 2228, 26849, 547, 4444, 13310, 4915, 2228, 269, 898, 568, 835, 540, 519, 1655, 2228, 7966, 9313, 538, 519, 2475, 563, 13010, 267, 11287, 707, 4816, 5702, 568, 606, 1271, 851, 540, 519, 2126, 1544, 269, 2659, 4387, 949, 2638, 707, 4816, 779, 2208, 543, 1646, 543, 4363, 18110, 3706, 6652, 2432, 610, 824, 4255, 269, 0, 8368, 540, 12937, 454, 2691, 596, 5873, 707, 2915, 814, 2860, 267, 621, 781, 2295, 12577, 269, 8891, 5411, 2648, 741, 5243, 607, 1454, 607, 824, 1920, 2818, 267, 543, 782, 540, 721, 1616, 547, 2285, 938, 10130, 519, 1655, 4960, 693, 6668, 543, 4313, 2009, 563, 1103, 713, 2376, 267, 649, 4312, 9788, 856, 1082, 540, 519, 1875, 2275, 1335, 6139, 8427, 8069, 1031, 547, 1521, 2860, 538, 5243, 543, 6743, 693, 930, 2963, 585, 741, 7145, 563, 8310, 267, 649, 4312, 7396, 856, 2436, 610, 711, 891, 8069, 616, 2693, 547, 10413, 707, 4620, 630, 327, 842, 267, 789, 5749, 1405, 267, 607, 1279, 607, 596, 2707, 873, 585, 2298, 543, 1118, 2386, 596, 2638, 609, 707, 17022, 547, 2327, 789, 4465, 1405, 2170, 609, 519, 5061, 610, 824, 4550, 2275, 22083, 3797, 707, 2915, 568, 1210, 1916, 301, 9173, 568, 513, 2565, 3390, 585, 2635, 3425, 543, 5243, 269, 898, 3587, 606, 1256, 811, 2565, 543, 1950, 3390, 538, 513, 2915, 609, 2860, 269, 1703, 616, 1896, 9270, 950, 621, 2501, 547, 8023, 513, 2915, 609, 2860, 269, 14856, 1134, 543, 4509, 513, 2635, 2597, 616, 2219, 547, 3565, 547, 519, 4313, 540, 513, 22578, 2860, 3461, 543, 3986, 519, 4960, 540, 2500, 2126, 563, 27039, 593, 1018, 2186, 540, 2860, 267, 621, 949, 581, 2352, 585, 707, 2915, 547, 15179, 610, 7558, 1426, 267, 741, 14031, 949, 6175, 267, 610, 519, 5061, 270, 2784, 2747, 1031, 547, 1521, 741, 2860, 949, 1118, 873, 1745, 7210, 610, 711, 1745, 17237, 899, 3339, 563, 11947, 6052, 1107, 31849, 540, 2836, 1559, 454, 2252, 707, 2915, 568, 9561, 2597, 610, 711, 4509, 2597, 1134, 1282, 2860, 2126, 267, 741, 2732, 1058, 723, 7899, 540, 8477, 269, 769, 1082, 22578, 11871, 267, 519, 10510, 20555, 593, 11950, 811, 982, 519, 2635, 5160, 540, 519, 2915, 269, 1280, 713, 2601, 267, 519, 2915, 781, 2732, 1058, 2874, 540, 1100, 811, 982, 476, 1839, 260, 540, 11950, 563, 293, 1846, 3436, 26287, 1231, 3436, 2961, 8510, 6233, 454, 30144, 22578, 8031, 666, 946, 9600, 607, 4492, 267, 855, 12970, 723, 513, 2182, 942, 1210, 3170, 585, 1648, 269, 634, 2732, 1058, 2874, 540, 476, 1839, 268, 2412, 260, 3170, 543, 476, 1789, 268, 3393, 260, 3940, 689, 3819, 2339, 269, 630, 9616, 281, 16959, 2339, 4493, 568, 519, 6871, 540, 3170, 1336, 538, 519, 2698, 3819, 1871, 540, 519, 1570, 1510, 1216, 2597, 8094, 20181, 2275, 16808, 267, 1164, 3170, 267, 1164, 3940, 269, 16319, 899, 513, 2603, 540, 2635, 1480, 11326, 267, 1318, 286, 918, 16587, 267, 12779, 334, 267, 11335, 267, 543, 2311, 9469, 11326, 946, 2147, 4485, 547, 2635, 4189, 563, 763, 1981, 540, 513, 2635, 2732, 568, 9039, 343, 11962, 269, 4634, 952, 707, 2915, 568, 2635, 267, 513, 2635, 2732, 786, 948, 707, 9663, 3659, 3251, 2635, 256, 1403, 596, 5749, 1405, 2386, 540, 513, 1434, 2915, 1426, 609, 519, 3617, 3575, 540, 5567, 267, 2307, 707, 16943, 547, 948, 2824, 835, 563, 295, 2207, 7034, 6730, 9501, 2975, 2464, 454, 307, 584, 1337, 630, 10501, 322, 6058, 264, 585, 17268, 454, 2467, 568, 2963, 602, 5695, 1337, 630, 4310, 609, 610, 1510, 9782, 4424, 1349, 264, 666, 2014, 2860, 2281, 547, 3247, 2713, 3564, 741, 2635, 1272, 12732, 269, 19204, 616, 9277, 547, 3479, 11980, 950, 789, 3914, 513, 1978, 1448, 540, 711, 8647, 1134, 15042, 269, 2290, 1883, 5057, 540, 2860, 568, 602, 2281, 834, 684, 16753, 257, 875, 547, 798, 713, 543, 3136, 2713, 543, 18187, 908, 1134, 3564, 741, 2635, 1272, 12732, 269, 5695, 1337, 543, 14986, 4424, 14384, 543, 1927, 834, 516, 974, 778, 257, 930, 5686, 540, 2860, 2281, 547, 3479, 6225, 11980, 1586, 563, 5445, 960, 8335, 593, 1114, 2860, 2281, 267, 543, 519, 2360, 616, 711, 6594, 1134, 2614, 547, 917, 10502, 952, 267, 950, 267, 610, 875, 2693, 513, 10826, 568, 547, 581, 585, 1585, 12204, 540, 2860, 269, 1548, 649, 798, 917, 568, 602, 519, 2360, 2408, 547, 581, 2318, 563, 307, 584, 1337, 814, 1906, 1634, 8801, 2427, 2360, 593, 5243, 693, 8723, 13066, 269, 898, 568, 711, 1634, 547, 2014, 3978, 1072, 2042, 267, 543, 849, 814, 4550, 13611, 543, 949, 948, 1852, 1928, 610, 9636, 689, 930, 11871, 563, 305, 846, 4424, 585, 17268, 454, 305, 846, 4424, 568, 1336, 538, 930, 2915, 3536, 543, 9360, 269, 1411, 991, 547, 2285, 519, 1318, 2179, 865, 602, 621, 568, 711, 6757, 269, 18320, 1454, 666, 1291, 547, 17465, 269, 14986, 4424, 814, 2318, 2360, 593, 2860, 543, 12536, 950, 2016, 519, 2953, 9570, 269, 1703, 568, 2963, 585, 824, 2318, 2164, 267, 855, 811, 1382, 568, 2877, 269, 1306, 609, 782, 11922, 267, 1210, 891, 11922, 1058, 581, 5941, 609, 707, 16943, 1354, 28720, 873, 547, 707, 4620, 267, 543, 789, 1058, 581, 3773, 547, 513, 16943, 25535, 8282, 4550, 2275, 22083, 2126, 267, 711, 1031, 607, 513, 12990, 563, 300, 2313, 7741, 616, 513, 2189, 543, 540, 339, 27492, 331, 10541, 2707, 540, 6484, 543, 2635, 267, 4915, 6438, 7135, 269, 3509, 2249, 723, 3254, 4550, 26817, 12185, 267, 4550, 268, 31038, 656, 267, 8501, 13326, 267, 4550, 22433, 1458, 267, 4550, 2173, 17853, 267, 4550, 2389, 32214, 267, 543, 4550, 2275, 22083, 2360, 563, 763, 7411, 538, 1210, 17228, 568, 13844, 1697, 21555, 543, 2898, 2927, 1746, 4703, 585, 513, 2915, 269, 1677, 602, 1439, 267, 713, 2376, 786, 1445, 711, 593, 782, 1382, 593, 782, 17228, 609, 4550, 2389, 32214, 543, 4550, 2275, 22083, 2360, 855, 593, 1346, 602, 723, 21555, 602, 616, 3489, 762, 547, 519, 3328, 7082, 945, 1281, 711, 1378, 543, 2196, 741, 1378, 25487, 1790, 1886, 698, 908, 1870, 1107, 4352, 1565, 547, 29608, 543, 946, 17228, 568, 513, 14785, 630, 663, 17705, 14386, 20089, 563, 300, 2313, 7741, 4122, 1336, 538, 9360, 1331, 23193, 781, 631, 2033, 630, 15463, 545, 1756, 8210, 514, 864, 639, 1070, 11894, 29114, 630, 307, 1090, 26347, 12411, 545, 565, 528, 1070, 24778, 344, 576, 1186, 267, 1234, 31381, 630, 294, 534, 25866, 320, 19388, 345, 6062, 1070, 543, 932, 15676, 630, 1103, 517, 582, 639, 21933, 1172, 639, 1040, 23193, 781, 812, 324, 814, 4550, 2389, 32214, 3601, 543, 22262, 519, 4761, 1062, 267, 4611, 538, 519, 1560, 8165, 2860, 2281, 811, 3927, 269, 23193, 781, 812, 324, 568, 513, 2635, 267, 17705, 1426, 609, 1906, 2942, 2360, 563, 307, 584, 4486, 2766, 568, 835, 540, 519, 1034, 6594, 17228, 585, 4550, 2275, 22083, 2534, 269, 589, 13387, 1349, 540, 713, 25487, 568, 606, 13166, 6444, 851, 540, 1978, 18068, 1036, 6036, 538, 3567, 269, 11894, 2766, 849, 814, 513, 1909, 538, 519, 10051, 543, 568, 519, 1292, 12146, 538, 1896, 8286, 269, 898, 814, 1906, 952, 1022, 2942, 2427, 2360, 563, 290, 867, 344, 576, 1186, 267, 1234, 31381, 267, 543, 932, 15676, 616, 1447, 6594, 855, 723, 3964, 4550, 2275, 22083, 2534, 543, 824, 1072, 2640, 269, 3509, 4529, 849, 1331, 891, 1614, 538, 741, 11477, 6575, 267, 543, 713, 2278, 666, 1140, 652, 602, 782, 519, 1657, 616, 17705, 950, 11273, 543, 838, 5367, 14013, 563, 2690, 519, 2915, 8227, 267, 621, 786, 581, 15864, 547, 2285, 891, 607, 513, 840, 268, 11526, 7110, 269, 1306, 609, 782, 9360, 267, 25487, 21555, 610, 2898, 17228, 1058, 581, 1031, 5402, 543, 896, 15569, 689, 513, 16943, 269, 1358, 616, 711, 513, 12990, 585, 1697, 4550, 2275, 22083, 3797, 543, 616, 1419, 6594, 543, 1031, 630, 520, 2547, 538, 3567, 264, 7258, 2413, 4550, 2275 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7532, 607, 807, 1141, 6960, 20119, 10007, 616, 4092, 538, 454, 273, 264, 519, 1611, 3940, 5834, 729, 5207, 538, 23925, 609, 8501, 10007, 630, 5325, 269, 277, 8406, 270, 6447, 1070, 7086, 31041, 5946, 689, 1312, 8501, 543, 20119, 10007, 1404, 606, 20119, 5288, 8501, 1781, 548, 331, 603, 15633, 281, 8446, 543, 3067, 2305, 676, 454, 338, 565, 28169, 568, 8519, 676, 3773, 682, 322, 603, 514, 855, 568, 19448, 26327, 676, 8501, 269, 693, 519, 943, 540, 23925, 267, 538, 3618, 344, 6960, 10007, 267, 799, 1106, 5631, 538, 519, 23925, 28954, 267, 519, 20119, 568, 6140, 7513, 5021, 11466, 4320, 267, 1654, 336, 519, 5223, 540, 642, 23463, 547, 563, 9767, 1522, 723, 606, 2856, 540, 1018, 8501, 10007, 616, 782, 827, 910, 855, 1018, 827, 20119, 10007, 286, 798, 789, 2097, 689, 519, 20119, 18912, 888, 514, 3119, 536, 18416, 4963, 9071, 2670, 267, 23925, 13811, 10007, 630, 3467, 4122, 20119, 3283, 264, 616, 21536, 597, 889, 514, 568, 4749, 1336, 538, 519, 4099, 540, 8501, 10007, 267, 799, 2636, 1990, 20810, 642, 267, 22917, 1067, 339, 535, 269, 11976, 538, 6797, 2068, 281, 1007, 2035, 269, 0, 9617, 3275, 3516, 267, 938, 7022, 10288, 519, 772, 2529, 269, 12551, 543, 13812, 6796, 547, 24044, 1739, 519, 1876, 3823, 10071, 531, 11318, 540, 5017, 269, 3767, 267, 5518, 11686, 543, 1010, 5745, 6840, 723, 6069, 547, 24183, 519, 29510, 15661, 2920, 267, 799, 814, 6854, 7366, 540, 1977, 7320, 2249, 689, 2469, 17255, 267, 1519, 519, 9466, 19994, 4618, 267, 5808, 14563, 595, 8735, 543, 4993, 9473, 528, 563, 15152, 1699, 1876, 267, 519, 18762, 1184, 540, 17609, 513, 2249, 607, 13155, 610, 12219, 3340, 1296, 540, 3621, 2689, 267, 543, 568, 7307, 676, 519, 3493, 25902, 540, 25181, 543, 25642, 563, 17484, 11139, 2249, 616, 1346, 2693, 547, 1831, 17255, 538, 519, 2282, 2104, 269, 1323, 1383, 568, 938, 1378, 4414, 2275, 1442, 12184, 8381, 701, 14982, 267, 799, 538, 9098, 814, 6450, 15903, 689, 1175, 896, 476, 736, 5017, 547, 1472, 476, 1911, 1813, 547, 3742, 2359, 540, 519, 2551, 269, 21784, 2989, 2249, 616, 1346, 2693, 547, 1831, 13155, 1510, 2359, 267, 971, 607, 519, 10010, 8419, 2480, 13041, 18191, 599, 267, 799, 1869, 2338, 538, 519, 5215, 267, 855, 741, 6967, 7226, 568, 4439, 671, 334, 7458, 3232, 563, 13828, 12219, 543, 13155, 2249, 616, 3177, 519, 1482, 1377, 540, 4027, 896, 519, 476, 3192, 274, 29510, 15661, 2920, 563, 763, 7245, 814, 6069, 547, 14816, 1022, 9241, 12219, 2249, 540, 519, 1482, 1377, 540, 4027, 607, 13155, 2249, 267, 10018, 532, 602, 519, 12219, 5555, 1831, 519, 13155, 269, 901, 786, 2285, 1648, 9367, 543, 4853, 8397, 6683, 519, 4960, 547, 1020, 519, 9249, 540, 891, 12219, 2249, 585, 2656, 12434, 269, 634, 7199, 3190, 540, 9494, 782, 891, 9241, 13155, 2249, 786, 581, 2451, 547, 2104, 4218, 5928, 543, 5481, 563, 8448, 6069, 2242, 547, 519, 957, 267, 9307, 538, 5147, 267, 1131, 2333, 519, 2597, 540, 2804, 9270, 950, 14045, 2436, 547, 1039, 513, 2249, 547, 519, 1592, 269, 5221, 2804, 12374, 616, 6027, 538, 519, 2282, 2165, 267, 1247, 9494, 2249, 568, 513, 1279, 3856, 20790, 267, 13155, 2249, 2141, 6336, 950, 12434, 616, 2808, 563, 15703, 12014, 538, 6837, 1131, 849, 6521, 519, 11411, 540, 3621, 2963, 4724, 519, 2829, 1141, 4686, 2249, 2049, 267, 8716, 2199, 2804, 15314, 547, 29387, 3084, 4690, 538, 8497, 938, 2067, 6561, 585, 2104, 5481, 269, 898, 568, 2182, 547, 1118, 513, 2656, 7443, 1055, 540, 513, 25930, 26267, 267, 855, 538, 476, 1911, 1296, 786, 707, 6264, 18244, 1871, 519, 23914, 811, 982, 519, 14460, 9910, 3766, 6504, 1576, 9361, 29691, 519, 23914, 779, 5449, 7226, 888, 17829, 530, 5109, 547, 6085, 593, 519, 6069, 2242, 723, 2394, 20029, 269, 476, 2190, 547, 798, 865, 267, 543, 1058, 1224, 873, 1934, 281, 535, 9749, 10993, 270, 754, 11139, 270, 574, 2889, 1324, 318, 2464, 288, 270, 28832, 3146, 341, 2888, 11258, 563, 290, 2077, 565, 11414, 538, 519, 10334, 4972, 693, 519, 5441, 540, 5261, 543, 6307, 543, 666, 581, 30409, 693, 4757, 11333, 2593, 269, 1677, 3605, 2199, 6177, 532, 3255, 3643, 13275, 338, 7921, 12704, 743, 889, 3820, 269, 0, 268, 476, 272, 5808, 729, 519, 1101, 2272, 656, 888, 268, 476, 273, 1548, 568, 519, 9998, 1106, 540, 8051, 888, 268, 476, 274, 1548, 1281, 8051, 1611, 538, 3504, 1686, 888, 268, 476, 275, 7316, 1705, 8051, 1376, 888, 268, 476, 276, 5808, 568, 519, 29659, 2272, 656, 538, 519, 1158, 888, 268, 476, 277, 5808, 568, 519, 6574, 2272, 656, 538, 519, 1158, 888, 268, 476, 278, 1548, 616, 519, 476, 275, 2010, 540, 8051, 888, 268, 476, 279, 5808, 568, 519, 4651, 540, 2272, 3599, 888, 268, 476, 280, 1548, 616, 519, 2185, 6502, 540, 8051, 888, 268, 476, 1015, 1548, 729, 519, 1034, 1271, 2680, 538, 519, 8051, 1686, 888, 268, 476, 1556, 1548, 568, 519, 4720, 540, 8051, 888, 268, 476, 1321, 1215, 8051, 729, 1031, 538, 3504, 2053, 888, 268, 476, 1724, 1548, 568, 519, 476, 279, 8371, 540, 8051, 888, 268, 476, 1691, 1548, 1705, 2272, 1218, 946, 1354, 5904, 888, 8005, 729, 519, 1101, 2272, 656, 888, 3719, 519, 4651, 540, 2413, 8051, 568, 7969, 12359, 320, 623, 659, 2723, 328, 267, 945, 538, 476, 14983, 275, 1101, 4330, 519, 1062, 540, 5595, 268, 18782, 1433, 15209, 1031, 676, 10469, 564, 1014, 22278, 538, 1010, 5681, 2742, 632, 25226, 320, 267, 2983, 2210, 6319, 267, 1160, 15251, 328, 1696, 1160, 1636, 1308, 7534, 563, 1432, 568, 519, 9998, 1106, 540, 8051, 888, 272, 634, 23104, 2103, 6854, 519, 9998, 5638, 540, 5370, 21775, 543, 4607, 267, 543, 891, 2238, 616, 1644, 547, 519, 2038, 2594, 268, 15209, 540, 519, 3504, 21072, 543, 20770, 2103, 269, 634, 23104, 2103, 1031, 18642, 8051, 2409, 267, 5329, 5638, 602, 2143, 8852, 5473, 2831, 267, 13184, 267, 543, 7031, 563, 1432, 1281, 8051, 1611, 538, 3504, 1686, 888, 28398, 532, 568, 513, 1062, 540, 10916, 543, 28388, 1870, 543, 2883, 8852, 269, 2368, 540, 519, 9998, 1634, 12591, 4362, 676, 24085, 616, 6589, 540, 3504, 3454, 5638, 593, 10036, 14342, 689, 5527, 543, 27859, 6580, 1394, 607, 2038, 607, 476, 20065, 271, 547, 476, 1220, 271, 14514, 563, 8489, 1705, 8051, 1376, 888, 763, 2038, 1646, 540, 8051, 7389, 547, 3504, 27859, 267, 543, 568, 5702, 1644, 547, 7835, 538, 1603, 267, 10203, 543, 2724, 543, 2038, 2912, 1746, 1949, 676, 519, 3504, 21072, 543, 20770, 2103, 269, 1635, 519, 942, 540, 519, 4936, 7276, 267, 519, 2229, 1185, 1569, 547, 2143, 2883, 1344, 563, 8005, 568, 519, 29659, 2272, 656, 538, 519, 1158, 888, 12749, 476, 277, 26548, 4554, 10055, 1218, 769, 634, 2622, 454, 268, 5845, 26427, 267, 1071, 1922, 10133, 540, 715, 833, 563, 268, 27958, 631, 836, 15401, 21960, 5055, 267, 28579, 540, 1520, 640, 320, 21960, 5055, 6828, 563, 268, 9324, 1047, 3213, 919, 267, 8689, 540, 5975, 18458, 563, 268, 14880, 2349, 1678, 267, 1071, 1922, 10133, 540, 634, 5851, 3493, 582, 563, 268, 6754, 21676, 28952, 267, 28579, 540, 1488, 323, 27895, 6828, 563, 268, 11184, 20574, 27804, 614, 543, 7788, 3794, 334, 698, 267, 27428, 540, 8609, 1723, 778, 6828, 563, 8005, 568, 519, 6574, 2272, 656, 538, 519, 1158, 888, 2080, 616, 1175, 513, 1906, 1806, 540, 2272, 1218, 945, 3323, 3549, 543, 1500, 741, 1665, 538, 519, 1870, 1158, 563, 268, 27958, 631, 836, 15401, 21960, 5055, 269, 9291, 542, 18311, 543, 28579, 540, 519, 1520, 640, 320, 21960, 5055, 6828, 267, 21960, 5055, 729, 13473, 538, 29180, 543, 5507, 563, 268, 25414, 22513, 663, 525, 563, 268, 6424, 17664, 563, 268, 7585, 29807, 976, 563, 268, 3627, 667, 18842, 651, 325, 11839, 563, 1432, 616, 519, 476, 275, 2010, 540, 8051, 888, 20524, 532, 519, 476, 275, 9537, 540, 19098, 454, 268, 23654, 19098, 563, 268, 5398, 19098, 563, 268, 6554, 19098, 563, 268, 5983, 14750, 19098, 563, 268, 6258, 2859, 693, 11882, 2160, 563, 8005, 568, 519, 4651, 540, 2272, 3599, 888, 299, 1075, 320, 623, 659, 2723, 328, 267, 729, 513, 8071, 4593, 534, 2003, 541, 4535, 538, 16907, 2998, 5842, 9484, 565, 23145, 538, 1018, 568, 1631, 8832, 7977, 538, 476, 13893, 277, 610, 476, 13893, 278, 563, 1432, 616, 519, 2185, 6502, 540, 8051, 888, 17780, 593, 519, 1239, 4607, 689, 519, 1686, 540, 4720, 543, 519, 2934, 540, 16795, 1646, 267, 1686, 540, 19098, 666, 12225, 10999, 581, 9286, 883, 476, 275, 5933, 282, 28928, 3942, 267, 840, 534, 24608, 3942, 267, 1646, 1775, 4318, 269, 25107, 3942, 267, 1110, 655, 2085, 563, 1432, 729, 519, 1034, 1271, 2680, 538, 519, 8051, 1686, 888, 763, 1034, 1271, 2680, 538, 8051, 1686, 568, 3622, 2808, 547, 581, 519, 23425, 540, 5595, 268, 18782, 1433, 15209, 676, 12359, 320, 623, 659, 2723, 328, 538, 476, 1691, 628, 2540, 7977, 269, 623, 659, 2723, 328, 729, 1454, 26060, 538, 1010, 1554, 267, 543, 729, 513, 3659, 543, 4207, 540, 28167, 13005, 30058, 563, 1432, 568, 519, 4720, 540, 8051, 888, 28398, 532, 568, 1767, 547, 723, 922, 8129, 538, 519, 3504, 2053, 540, 20770, 267, 28435, 6319, 267, 27859, 543, 5681, 518, 1014, 269, 589, 1390, 4308, 540, 519, 4720, 814, 1044, 538, 519, 2594, 5329, 2460, 540, 8051, 269, 898, 568, 1100, 5728, 602, 5904, 723, 4957, 519, 2470, 540, 8051, 543, 723, 5828, 621, 883, 513, 3728, 533, 3166, 543, 6422, 3924, 563, 1692, 8051, 729, 1031, 538, 3504, 2053, 888, 5804, 2806, 659, 639, 547, 14466, 344, 6350, 5527, 1031, 5961, 267, 1913, 267, 543, 2338, 547, 1832, 29601, 593, 6694, 2504, 865, 602, 621, 1223, 3049, 922, 2479, 2987, 920, 2084, 2551, 269, 634, 8051, 1062, 729, 849, 1031, 547, 1832, 3950, 540, 18428, 543, 3909, 2621, 267, 15224, 543, 1857, 1568, 3785, 267, 607, 1134, 607, 4074, 1852, 563, 1432, 568, 519, 476, 279, 8371, 540, 8051, 888, 1432, 616, 519, 5216, 8371, 540, 8051, 888, 268, 11038, 8051, 563, 268, 8779, 8051, 563, 268, 15440, 658, 8051, 563, 268, 19098, 1344, 1949, 563, 268, 12525, 8051, 563, 268, 5983, 14750, 8051, 563, 268, 674, 573, 18676, 776, 8051, 563, 1432, 1705, 2272, 1218, 946, 1354, 5904, 888, 6524, 519, 4417, 540, 519, 2780, 267, 1433, 15209, 729, 2944, 676, 4890, 1433, 26283, 269, 634, 1433, 24010, 1131, 2594, 1169, 2883, 11834, 519, 2754, 1500, 538, 513, 4760, 269, 634, 11834, 4769, 1406, 1175, 991, 547, 581, 9411, 883, 519, 4760, 855, 849, 23652, 547, 824, 3366, 7970, 267, 585, 1383, 267, 519, 2754, 779, 2489, 24432, 269, 0, 11386, 11706, 814, 1044, 1472, 585, 513, 1247, 1631, 269, 898, 568, 519, 3501, 1907, 547, 2226, 3919, 267, 1832, 3950, 540, 2621, 267, 543, 957, 607, 513, 12576, 585, 1082, 824, 14026, 596, 616, 9277, 547, 581, 11504, 547, 269, 769, 513, 2428, 9917, 961, 267, 621, 568, 606, 15813, 1907, 547, 1544, 856, 707, 960, 17058, 563, 4913, 267, 5616, 11706, 2501, 609, 513, 1978, 6551, 7190, 602, 596, 3112, 17408, 752, 621, 547, 707, 6010, 532, 269, 4475, 267, 952, 596, 2877, 930, 3606, 6667, 689, 707, 11706, 267, 5616, 9022, 338, 610, 5616, 25420, 1223, 2097, 538, 13561, 585, 596, 563, 1692, 547, 1711, 513, 11706, 538, 5616, 9022, 338, 454, 9359, 676, 6679, 513, 1007, 3561, 538, 5616, 9022, 338, 269, 12315, 621, 513, 2012, 5812, 609, 519, 11706, 596, 616, 2870, 269, 3767, 4283, 519, 3923, 596, 1616, 547, 1376, 609, 267, 2161, 267, 5239, 563, 11386, 9022, 338, 2636, 596, 547, 1711, 11706, 23106, 585, 782, 5686, 540, 14026, 267, 1519, 513, 5428, 942, 3391, 610, 513, 12353, 5986, 10624, 563, 1103, 1900, 1079, 267, 596, 786, 991, 513, 3349, 269, 4475, 267, 2824, 23453, 267, 1287, 4945, 593, 7305, 269, 7994, 519, 1297, 540, 10945, 602, 5330, 547, 519, 1297, 540, 2395, 596, 1616, 547, 3950, 707, 2238, 269, 2991, 2072, 267, 2347, 519, 3349, 609, 7389, 563, 2005, 568, 9985, 15502, 952, 596, 10483, 713, 609, 3606, 1344, 971, 607, 519, 1554, 540, 519, 3018, 519, 4266, 8813, 269, 3767, 267, 713, 666, 581, 2944, 676, 4946, 513, 4737, 693, 519, 1283, 610, 5377, 540, 519, 7470, 649, 723, 2813, 563, 20578, 1125, 707, 11706, 454, 1607, 568, 519, 1448, 1141, 596, 1631, 1118, 621 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 540, 3670, 8043, 2509, 31473, 779, 27805, 1258, 540, 8370, 269, 634, 6370, 16768, 689, 476, 1556, 281, 3393, 589, 8160, 269, 2394, 476, 274, 281, 876, 623, 8160, 269, 2311, 476, 1556, 281, 3393, 600, 519, 24354, 267, 519, 3703, 17514, 1222, 267, 3323, 20590, 593, 519, 18039, 269, 634, 18039, 11124, 14320, 607, 1352, 16004, 1524, 593, 519, 10546, 269, 898, 3576, 476, 736, 3764, 585, 18039, 547, 1205, 538, 2039, 547, 2132, 3595, 269, 31924, 20908, 572, 11875, 328, 2714, 267, 3061, 8724, 519, 15281, 698, 4673, 267, 8959, 547, 4497, 519, 3703, 269, 570, 2077, 600, 8738, 2471, 267, 2278, 540, 634, 11135, 540, 8235, 661, 4471, 267, 5206, 602, 519, 15281, 698, 4673, 729, 9277, 547, 4497, 519, 10348, 23770, 693, 2673, 24365, 267, 855, 3079, 11875, 328, 2714, 10288, 1010, 9114, 23133, 547, 24044, 20590, 609, 519, 1286, 1258, 3547, 543, 3595, 609, 519, 1279, 1000, 601, 1407, 1152, 269, 4595, 519, 10348, 23770, 1223, 711, 3914, 519, 15281, 698, 4673, 609, 1200, 1286, 1258, 3547, 267, 1352, 4682, 547, 519, 5351, 540, 519, 24354, 543, 5280, 547, 6861, 519, 18039, 563, 21413, 519, 15281, 698, 4673, 8165, 7258, 621, 267, 519, 18039, 729, 7722, 538, 6370, 1932, 2484, 2476, 585, 824, 8043, 547, 2097, 1489, 621, 269, 4438, 713, 942, 519, 10546, 779, 3595, 729, 9859, 3592, 14311, 693, 519, 18039, 543, 585, 811, 982, 476, 273, 3108, 519, 18039, 3576, 5230, 3441, 2394, 621, 729, 4625, 16981, 269, 634, 824, 9635, 602, 1223, 941, 2502, 689, 1279, 2039, 267, 855, 789, 1223, 711, 31818, 1022, 540, 519, 3595, 689, 519, 18039, 269, 5518, 31187, 17619, 267, 538, 1010, 1433, 25220, 2782, 540, 476, 8687, 273, 267, 29499, 602, 968, 1492, 15281, 698, 4673, 267, 519, 1034, 3608, 543, 1655, 17907, 2740, 540, 519, 1977, 8043, 267, 729, 3592, 6854, 856, 540, 519, 2962, 676, 1200, 23071, 779, 13817, 2265, 3034, 8110, 1097, 5651, 534, 1315, 7732, 540, 6837, 454, 290, 7951, 648, 31473, 19132, 1010, 9206, 547, 519, 15281, 698, 4673, 538, 3131, 1097, 5651, 534, 781, 7206, 563, 763, 4339, 4682, 593, 693, 1279, 2039, 1063, 519, 824, 9635, 269, 8422, 3703, 9635, 267, 15248, 3038, 739, 267, 10348, 23770, 267, 543, 24354, 267, 941, 3592, 10032, 269, 3703, 2155, 6387, 4446, 743, 599, 729, 865, 16094, 13676, 602, 646, 1185, 547, 16718, 519, 16064, 543, 4734, 1010, 6928, 538, 4971, 540, 31924, 6723, 16016, 5894, 269, 2201, 4604, 519, 18039, 267, 936, 32210, 2600, 540, 519, 12284, 941, 2907, 7166, 610, 20754, 269, 634, 1101, 9114, 23133, 540, 519, 18039, 267, 962, 7568, 718, 267, 729, 20754, 1614, 2053, 855, 5132, 2685, 7283, 593, 16064, 563, 8110, 787, 1185, 547, 16718, 519, 18039, 1317, 540, 519, 3665, 2783, 540, 519, 6928, 269, 4495, 17389, 583, 269, 11875, 328, 2714, 6368, 4547, 519, 15281, 698, 4673, 4464, 267, 31473, 11843, 1010, 9206, 543, 4604, 539, 519, 15281, 698, 4673, 269, 31473, 2366, 11875, 328, 2714, 547, 3142, 909, 519, 7784, 2692, 1846, 911, 4979, 3297, 269, 1703, 729, 2370, 4187, 607, 20182, 31473, 3576, 519, 15281, 698, 4673, 543, 13264, 519, 1835, 22824, 3703, 1899, 543, 7142, 519, 9576, 13108, 547, 21704, 269, 1306, 519, 15281, 698, 4673, 14059, 267, 519, 3703, 9635, 13986, 547, 5965, 2933, 855, 9624, 519, 14784, 1079, 540, 519, 9635, 2458, 3660, 269, 31473, 3576, 5413, 540, 519, 4524, 540, 519, 3703, 543, 17991, 2390, 873, 269, 634, 1977, 15963, 4721, 1185, 9575, 909, 676, 713, 942, 849, 543, 941, 2111, 547, 1683, 1489, 585, 519, 15281, 698, 4673, 543, 948, 1232, 1493, 519, 14230, 540, 519, 3703, 18239, 563, 288, 2370, 1310, 476, 274, 281, 876, 10681, 267, 513, 3043, 9206, 729, 6659, 593, 519, 28865, 269, 2368, 16996, 6836, 547, 9101, 855, 941, 9676, 676, 4971, 540, 31924, 7338, 4591, 16632, 269, 9457, 16710, 656, 31473, 11843, 1394, 547, 519, 18039, 267, 5462, 547, 4309, 519, 3703, 21704, 593, 519, 3312, 17514, 1222, 269, 2991, 519, 21704, 540, 519, 3703, 18239, 267, 20182, 32126, 31473, 267, 19524, 540, 519, 1977, 18239, 267, 771, 6312, 3481, 835, 540, 519, 1034, 4583, 6835, 538, 4108, 1686, 547, 20727, 269, 2637, 269, 5261, 8361, 26858, 269, 898, 1224, 281, 968, 32091, 2637, 685, 331, 281, 1284, 723, 1558, 519, 10546, 267, 543, 789, 616, 23600, 267, 1079, 9635, 267, 1079, 1490, 12127, 267, 835, 11634, 3019, 518, 543, 835, 1793, 17274, 269, 962, 2293, 609, 1390, 2463, 543, 22644, 269, 744, 13034, 269, 31473, 1848, 2201, 519, 18039, 267, 476, 2420, 2367, 941, 7166, 543, 476, 8618, 941, 20754, 267, 1247, 519, 15281, 698, 4673, 1152, 11124, 1614, 20754, 2367, 543, 1079, 7166, 1317, 540, 922, 9000, 689, 519, 5354, 540, 519, 1973, 338, 1117, 563, 297, 12282, 269, 4446, 1537, 564, 270, 13051, 15924, 18000, 1676, 267, 476, 8687, 275, 454, 299, 3869, 540, 6837, 454, 2304, 476, 8687, 275, 23678, 1324, 20186, 31473, 781, 11802, 693, 519, 11135, 540, 8235, 661, 4471, 563, 763, 2296, 2530, 729, 811, 4049, 2687, 547, 14787, 6276, 4446, 5886, 269, 634, 2296, 1185, 476, 11463, 2367, 20754, 543, 476, 6078, 7166, 269, 31473, 5701, 782, 519, 20754, 8449, 267, 3703, 543, 1977, 269, 968, 290, 2194, 664, 31473, 814, 1969, 539, 538, 519, 1034, 1480, 324, 543, 18906, 633, 6073, 267, 711, 1152, 547, 8885, 543, 10492, 267, 855, 547, 782, 519, 20754, 2223, 5206, 3703, 18279, 4446, 743, 599, 269, 3571, 3527, 941, 8098, 10928, 1256, 1310, 519, 2962, 540, 6370, 729, 8737, 269, 31473, 729, 15469, 689, 9457, 16710, 656, 547, 18279, 1310, 1010, 11802, 269, 31473, 543, 11875, 328, 2714, 4607, 4154, 1199, 1023, 689, 6837, 269, 18234, 1199, 1023, 941, 2016, 547, 782, 540, 519, 20827, 10492, 563, 763, 4892, 685, 23801, 11802, 593, 8235, 661, 4471, 16760, 519, 3703, 17189, 4222, 543, 11506, 519, 19831, 10639, 540, 519, 772, 2529, 269, 13108, 269, 634, 11135, 540, 8235, 661, 4471, 849, 4847, 3013, 547, 1427, 820, 1454, 540, 519, 12309, 24540, 4503, 4505, 538, 519, 2112, 267, 547, 14867, 11882, 543, 18518, 24540, 689, 7111, 1977, 986, 1749, 267, 543, 547, 7119, 538, 519, 9552, 540, 519, 570, 1815, 636, 572, 327, 4095, 1476, 25005, 2329, 269, 634, 11802, 1500, 20182, 32126, 31473, 513, 3084, 5869, 543, 17956, 8235, 661, 4471, 896, 1977, 1852, 269, 898, 5795, 519, 4892, 513, 27907, 5818, 799, 729, 2556, 1739, 519, 3105, 5569, 540, 9396, 1846, 602, 519, 2475, 1185, 11124, 269, 634, 11135, 540, 8235, 661, 4471, 729, 519, 1101, 538, 513, 1899, 540, 24984, 799, 17956, 3013, 779, 8878, 1996, 519, 3703, 269, 1452, 29217, 6273, 519, 1977, 4961, 609, 4126, 563, 6524, 713, 11802, 267, 4892, 941, 12922, 540, 606, 12289, 689, 519, 19566, 269, 634, 3703, 1185, 10136, 538, 12309, 267, 11882, 267, 543, 4516, 267, 543, 941, 5827, 540, 22745, 606, 18086, 693, 1022, 4090, 269, 31187, 17619, 2663, 5206, 2676, 2414, 519, 3345, 649, 616, 1869, 8280, 4364, 538, 676, 519, 8225, 22590, 540, 4279, 6628, 282, 855, 267, 2094, 476, 8687, 273, 267, 938, 4222, 814, 2799, 865, 605, 21745, 13124, 267, 1312, 11613, 543, 5266, 267, 1247, 4789, 779, 4108, 1379, 814, 7283, 3592, 19335, 267, 602, 649, 991, 1631, 581, 896, 1100, 31536, 687, 689, 1200, 2244, 16519, 806, 282, 585, 267, 1256, 952, 649, 13761, 538, 519, 4098, 267, 649, 1223, 711, 948, 9518, 1359, 538, 519, 1439, 676, 22406, 2597, 540, 2338, 267, 952, 676, 4986, 3116, 563, 763, 11135, 540, 8235, 661, 4471, 729, 606, 5393, 1271, 17189, 5859, 1317, 621, 5818, 539, 519, 27907, 540, 519, 1977, 10136, 543, 5795, 873, 3354, 689, 606, 12289, 689, 519, 3345, 269, 769, 519, 1913, 540, 5518, 31187, 17619, 267, 968, 763, 11802, 540, 8235, 661, 4471, 729, 1034, 1271, 267, 1312, 538, 922, 1570, 2164, 543, 538, 922, 5837, 1198, 269, 898, 5795, 721, 2347, 4971, 540, 782, 519, 5580, 12647, 267, 15286, 1022, 12194, 540, 12289, 689, 602, 10116, 267, 2799, 938, 31449, 609, 519, 535, 4141, 543, 938, 6015, 538, 6000, 2507, 892, 901, 11802, 4299, 519, 3003, 4182, 269, 898, 3366, 547, 519, 22638, 10888, 540, 519, 2112, 538, 476, 8687, 276, 543, 15427, 519, 2621, 602, 3361, 3013, 547, 6368, 1863, 3294, 540, 6628, 779, 4341, 269, 968, 5804, 519, 7169, 593, 1189, 513, 2596, 2832, 540, 1977, 2829, 5443, 1185, 1044, 547, 3035, 5191, 540, 2962, 865, 602, 519, 2136, 2276, 1223, 3442, 2112, 610, 4708, 607, 922, 4690, 1522, 27774, 269, 2060, 519, 11175, 540, 476, 8687, 276, 713, 2832, 2968, 513, 4641, 547, 513, 4110, 602, 519, 2038, 2829, 5443, 1185, 15991, 546, 1563, 547, 4126, 2223, 11339, 16452, 700, 269, 2051, 525, 538, 1010, 1433, 267, 2782, 540, 476, 8687, 273, 269, 634, 11802, 540, 519, 2782, 540, 476, 8687, 273, 11292, 519, 772, 2529, 269, 922, 5191, 689, 6628, 3850, 621, 547, 21707, 607, 606, 4830, 2197, 269, 9453, 519, 11802, 593, 8235, 661, 4471, 267, 713, 7115, 1522, 723, 2760, 5949, 543, 1510, 31473, 779, 10100, 543, 11587, 713, 11802, 1522, 711, 723, 1044, 17956, 563, 19547, 20936, 14539, 3213, 32220, 299, 3869, 540, 6837, 454, 1103, 519, 12687, 540, 11802, 693, 519, 11135, 540, 8235, 661, 4471, 267, 20182, 32126, 31473, 729, 28165, 2429, 519, 2197, 267, 1519, 713, 15224, 693, 10925, 2987, 5174, 599, 267, 11882, 267, 519, 3135, 14191, 547, 519, 17189, 6370, 563, 2108, 3080, 4627, 543, 29235, 19317, 1296, 1310, 519, 2680, 267, 649, 1869, 1413, 1394, 2390, 519, 11135, 540, 8235, 661, 4471, 267, 799, 607, 17189, 12959, 979, 729, 513, 5266, 28971, 26035, 267, 607, 513, 17431, 540, 1480, 10100, 543, 27265, 2223, 5206, 654, 6993, 11065, 269, 19958, 538, 1010, 1557, 267, 634, 27254, 540, 519, 25035, 16874, 3502, 22206, 1229, 281, 7917, 4173, 3999, 4446, 743, 599, 543, 519, 11135, 540, 8235, 661, 4471, 269, 4634, 1498, 519, 11135, 540, 8235, 661, 4471, 8329, 7494, 547, 519, 7432, 1448, 540, 519, 2782, 540, 476, 8687, 273, 267, 519, 17189, 6370, 3294, 729, 5266, 6296, 269, 634, 1034, 14222, 2694, 540, 519, 6370, 941, 519, 29752, 3527, 3144, 676, 519, 4971, 532, 10492, 269, 31473, 10692, 593, 519, 18039, 609, 519, 1964, 540, 1010, 12284, 585, 936, 1079, 3108, 538, 29695, 2175, 269, 31473, 29499, 602, 267, 968, 1103, 713, 3510, 1352, 630, 25187, 5270, 264, 13455, 519, 2962, 20733, 540, 1079, 3108, 267, 1369, 666, 3563, 8929, 3845, 267, 2394, 1169, 7784, 729, 21235, 24631, 267, 543, 513, 3152, 851, 540, 519, 12284, 2901, 7166, 610, 20754, 1848, 31473, 7152, 5128, 8098, 4275, 29087, 2429, 519, 6370, 267, 4259, 540, 519, 3803, 8929, 5128, 563, 14367, 10100, 543, 11587, 936, 713, 7237, 814, 1044, 519, 2014, 540, 1010, 759, 15929, 21239, 269, 634, 4961, 540, 5045, 3844, 12425, 3957, 513, 10315, 538, 1010, 8956, 282, 18189, 338, 941, 25517, 538, 2558, 514, 21059, 267, 29049, 6816, 267, 1715, 3840, 267, 543, 661, 4471, 547, 8956, 519, 12703, 4892, 945, 3576, 851, 538, 519, 11135, 540, 8235, 661, 4471, 282, 741, 29752, 3527, 8507, 538, 519, 1439, 540, 20935, 1894, 1063, 6628, 543, 3013, 563, 268, 1325, 1729, 742, 267, 15168, 731, 570, 269, 12213, 4826, 590, 841, 832, 1744, 9994, 4826, 22307, 4536, 269, 10925, 2987, 5174, 599, 281, 634, 31473, 6828, 267, 476, 1960, 274, 563, 268, 1325, 1729, 742, 267, 15168, 731, 570, 269, 20182, 32126, 31473, 543, 519, 11135, 540, 8235, 661, 4471, 269, 10925, 24493, 5174, 599, 267, 11882, 281, 31473, 6828, 267, 476, 1960, 280, 563, 268, 4446, 5886, 267, 6276, 269, 25220, 589, 2388, 540, 519, 2782, 540, 476, 8687, 273, 269, 1715, 3840, 281, 22489, 1299, 29564, 267, 476, 6245, 277, 563, 268, 9466, 267, 15656, 681, 269, 14358, 540, 519, 22411, 338, 540, 519, 3345, 8862, 3480, 8136, 281, 1290, 19828, 267, 4787, 564, 2583, 540, 519, 22411, 338, 540, 2637, 5644, 670, 1638, 543, 26858, 282, 513, 3687, 1393, 543, 21624, 10055, 540, 519, 25220, 18366, 593, 8235, 661, 4471, 282, 13639, 589, 928, 7251, 4925, 734, 6781, 4926, 538, 519, 8136, 734, 23945, 540, 513, 13639, 5590, 25557, 1765, 8698, 540, 519, 8235, 11076, 689, 9995, 639, 5652, 547, 24354, 269, 15740, 281, 717, 3419, 7714, 543, 16299, 1231, 976, 267, 476, 8687, 276, 563, 268, 8738, 2471, 267, 570, 2077, 600, 269, 11135, 540, 8235, 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 ]
[ 3318, 1995, 269, 769, 606, 4081, 1909, 267, 596, 949, 723, 513, 22008, 602, 781, 811, 982, 1079, 3817, 1279, 267, 4470, 593, 519, 4143, 2069, 267, 1995, 267, 10781, 543, 12326, 596, 723, 538, 707, 2361, 563, 16665, 281, 1215, 547, 3503, 513, 22008, 28483, 454, 1432, 547, 1331, 538, 707, 22008, 454, 2467, 616, 1896, 2838, 543, 18593, 2609, 596, 666, 1331, 538, 707, 22008, 269, 3371, 616, 519, 1292, 2609, 547, 2015, 1519, 912, 26473, 1600, 6810, 585, 707, 22008, 454, 2414, 1376, 267, 1118, 2386, 707, 22008, 2882, 519, 1739, 1344, 912, 10387, 7877, 1686, 281, 3629, 519, 2012, 540, 707, 3105, 16108, 267, 707, 2816, 2140, 267, 7694, 4266, 543, 1439, 4266, 585, 1142, 1909, 267, 2059, 609, 513, 2110, 6609, 540, 707, 11645, 543, 9021, 563, 23086, 1344, 281, 3629, 606, 4757, 2232, 543, 3346, 1297, 269, 1411, 666, 849, 1331, 6402, 547, 707, 14769, 610, 3318, 12632, 563, 32153, 20340, 281, 5903, 1022, 4143, 3318, 20340, 267, 2523, 952, 621, 781, 18931, 676, 606, 4013, 1560, 267, 971, 607, 6132, 1878, 610, 24501, 563, 20597, 1571, 543, 21941, 281, 1411, 666, 1331, 513, 5094, 3296, 585, 707, 21941, 543, 1983, 267, 2523, 952, 596, 1810, 1405, 723, 513, 2143, 7694, 1686, 269, 5269, 2386, 547, 1331, 2963, 547, 1489, 519, 21941, 543, 1983, 596, 7396, 563, 19733, 1686, 281, 5903, 707, 5207, 1377, 540, 2069, 267, 971, 607, 513, 4110, 610, 26885, 269, 1411, 666, 1331, 519, 15173, 15158, 24547, 5448, 540, 18520, 4065, 630, 295, 298, 9169, 292, 264, 13995, 610, 5973, 757, 952, 596, 4312, 2451, 1153, 5063, 563, 18893, 1308, 6810, 585, 707, 22008, 454, 2252, 596, 723, 3908, 2565, 1344, 610, 596, 723, 3063, 2230, 547, 6445, 267, 596, 949, 1331, 519, 1739, 3688, 912, 15008, 540, 7694, 1686, 10616, 281, 1403, 596, 723, 7694, 10616, 267, 2015, 4946, 513, 5618, 4063, 547, 2491, 1018, 596, 941, 3257, 538, 602, 942, 267, 971, 607, 21409, 267, 12391, 585, 513, 3448, 267, 1126, 2173, 4193, 610, 2816, 10122, 563, 23114, 3948, 281, 901, 568, 513, 835, 268, 610, 1079, 11060, 5758, 540, 707, 15421, 267, 1983, 543, 4876, 3853, 607, 789, 9305, 547, 519, 1808, 2990, 596, 2811, 7311, 585, 269, 1411, 666, 1747, 713, 3948, 693, 519, 1283, 540, 707, 22008, 563, 14276, 725, 543, 10781, 281, 5410, 1022, 4143, 2872, 12326, 267, 971, 607, 1382, 2090, 543, 4930, 267, 547, 3715, 3054, 607, 513, 2219, 6205, 610, 4274, 538, 707, 2361, 269, 1411, 666, 849, 5031, 1022, 2027, 2369, 1431, 610, 17758, 267, 971, 607, 2872, 10391, 610, 9441, 6361, 7308, 18881, 17758, 563, 19950, 338, 543, 12348, 281, 769, 713, 3296, 267, 2911, 827, 1018, 596, 798, 3544, 540, 960, 267, 2523, 952, 596, 2811, 3238, 538, 15321, 960, 267, 2029, 610, 5026, 269, 5269, 2386, 547, 1331, 1022, 602, 616, 2047, 4143, 547, 519, 2816, 596, 2811, 7311, 585, 267, 707, 5718, 5759, 543, 519, 1983, 2556, 585, 519, 2816, 563, 1692, 547, 2328, 513, 22008, 454, 2080, 616, 519, 3268, 596, 666, 1491, 547, 2328, 513, 8903, 22008, 912, 272, 269, 3417, 707, 3346, 3877, 454, 1607, 2882, 707, 2407, 2012, 267, 4757, 2232, 543, 6049, 1297, 269, 26451, 707, 2232, 568, 18593, 269, 1403, 596, 1616, 547, 1331, 621, 267, 1592, 1152, 707, 2749, 543, 8664, 269, 3371, 781, 606, 1383, 540, 513, 22008, 781, 3346, 3877, 3296, 912, 298, 25717, 3019, 267, 15173, 15158, 454, 273, 269, 5903, 707, 4081, 1686, 538, 9258, 7302, 1258, 1670, 1931, 454, 1607, 666, 1331, 707, 1164, 1153, 267, 15938, 1153, 267, 10927, 1153, 543, 2022, 28273, 28118, 15961, 269, 5269, 2386, 547, 1331, 1152, 707, 1034, 2487, 3872, 2833, 269, 1411, 666, 14574, 519, 7389, 13984, 952, 596, 4312, 21783, 538, 519, 2250, 2947, 1296, 269, 14992, 616, 811, 5461, 538, 707, 960, 1995, 267, 865, 621, 781, 1655, 547, 2327, 602, 519, 5467, 781, 1445, 568, 593, 602, 1344, 563, 274, 269, 5489, 841, 707, 3318, 1995, 454, 8266, 519, 2754, 267, 2816, 2140, 543, 7389, 6964, 267, 4098, 609, 707, 1034, 2487, 2990, 269, 10410, 1518, 707, 2816, 11645, 267, 1995, 6591, 543, 18517, 269, 10670, 1142, 16886, 1448, 609, 606, 2962, 8231, 547, 6542, 707, 11645, 269, 898, 781, 849, 1655, 547, 946, 5515, 547, 22945, 707, 1764, 950, 2009, 269, 901, 2982, 1761, 12820, 519, 3169, 2164, 596, 4312, 6591, 689, 824, 3549, 269, 1677, 798, 865, 267, 2015, 519, 1739, 912, 301, 13246, 281, 1280, 1383, 267, 596, 666, 14574, 519, 1297, 540, 5520, 596, 7307, 610, 519, 1297, 540, 7125, 829, 1554, 596, 12943, 269, 1411, 666, 849, 5815, 519, 6753, 610, 13646, 596, 20291, 609, 593, 513, 1788, 563, 291, 20683, 5666, 281, 1411, 666, 14574, 519, 8907, 596, 948, 3142, 538, 12422, 543, 519, 2724, 596, 10710, 519, 2754, 563, 8110, 1417, 1137, 281, 1280, 3236, 267, 596, 666, 5815, 676, 1018, 2600, 1705, 596, 2333, 519, 4398, 540, 513, 1184, 610, 676, 1018, 2600, 1705, 596, 948, 2569, 6959, 563, 2690, 3236, 267, 3079, 540, 1603, 13786, 1043, 585, 26004, 18747, 593, 4887, 10408, 2138, 1006, 2090, 267, 596, 1522, 2161, 267, 31603, 513, 1382, 11556, 593, 7293, 2090, 540, 4887, 10408, 2138, 1006, 538, 5698, 609, 513, 3670, 16512, 1382, 2319, 602, 17956, 513, 1269, 736, 298, 2229, 9886, 563, 275, 269, 3417, 4143, 1983, 543, 20340, 454, 1607, 666, 581, 538, 513, 5094, 1983, 3296, 269, 5623, 519, 2816, 29275, 547, 5031, 519, 1034, 1271, 1983, 3549, 616, 3168, 585, 269, 1452, 666, 1331, 1312, 2571, 543, 2182, 1983, 602, 1118, 596, 519, 1655, 11134, 585, 519, 2990, 269, 3371, 616, 930, 1983, 596, 666, 1331, 538, 707, 22008, 912, 276, 269, 5903, 4378, 2293, 543, 17758, 454, 8196, 713, 3296, 547, 7291, 707, 18517, 610, 17758, 538, 519, 2361, 1644, 547, 707, 3498, 269, 10670, 609, 519, 8366, 2012, 4553, 676, 519, 1032, 596, 6591, 621, 267, 519, 13539, 602, 5795, 596, 519, 8366, 543, 3877, 827, 519, 8366, 267, 971, 607, 875, 1082, 1004, 4607, 621, 543, 875, 1419, 519, 13539, 3947, 519, 8366, 269, 3371, 781, 606, 1383, 540, 519, 4378, 2293, 543, 17758, 3296, 912, 295, 517, 2293, 543, 22952, 454, 7473, 9752, 22952, 267, 476, 1708, 271, 267, 476, 1708, 272, 267, 476, 1708, 272, 454, 295, 784, 15158, 5530, 2806, 5802, 16827, 267, 14400, 476, 1708, 272, 454, 291, 1170, 10488, 26665, 23050, 267, 476, 1708, 272, 454, 277, 269, 3417, 4143, 14245, 543, 12326, 454, 25147, 4143, 14327, 540, 14245, 267, 4574, 267, 2090, 267, 2835, 610, 824, 12326, 1271, 547, 707, 3318, 1686, 269, 1280, 12326, 267, 1331, 519, 2278, 781, 2012, 267, 4266, 3370, 267, 5758, 267, 4320, 267, 2985, 543, 20396, 1297, 269, 1280, 14245, 267, 1331, 519, 2140, 267, 4266, 543, 4087, 540, 519, 6881, 269, 3371, 781, 606, 1383, 912, 298, 9774, 267, 30129, 269, 968, 763, 6355, 540, 32285, 24184, 1701, 918, 25717, 3019, 267, 670, 298, 281, 670, 298, 2160, 4964, 630, 1721, 628, 5765, 994, 298, 9774, 267, 30129, 269, 968, 763, 8865, 585, 8490, 513, 5020, 593, 9370, 1848, 4139, 4750, 540, 8330, 13681, 5735, 267, 2019, 269, 476, 3607, 267, 1100, 269, 476, 273, 267, 476, 1001, 279, 267, 6032, 269, 476, 6200, 268, 10482, 563, 298, 9774, 267, 30129, 269, 968, 1692, 10097, 568, 10097, 8027, 9495, 3864, 4750, 540, 24184, 8889, 543, 13891, 622, 267, 476, 1708, 272, 563, 1708, 272, 14389, 9774, 267, 30129, 269, 968, 19465, 538, 519, 9503, 1848, 17104, 3778, 5948, 16316, 918, 25717, 3019, 267, 15173, 15158, 454, 1708, 272, 14389, 9774, 267, 30129, 269, 968, 763, 8892, 540, 519, 18768, 281, 8490, 513, 5851, 267, 3502, 3807, 513, 5741, 1848, 24184, 543, 12124, 4886, 16316, 10985, 267, 918, 25717, 3019, 267, 15173, 15158, 563, 278, 269, 5903, 707, 3318, 28930, 725, 543, 12205, 454, 1607, 2882, 519, 2012, 540, 519, 13539, 269, 898, 849, 2882, 519, 4087, 540, 519, 13539, 610, 3184, 543, 7389, 540, 3742, 15376, 269, 3371, 781, 606, 1383, 540, 713, 3296, 912, 300, 20047, 4721, 543, 10500, 8270, 725, 454, 13233, 5948, 540, 5564, 12734, 7177, 19510, 25635, 919, 630, 1001, 280, 1700, 303, 6974, 994, 295, 298, 5948, 540, 19296, 630, 1001, 277, 1700, 303, 6974, 994, 13233, 5980, 540, 19296, 630, 1001, 276, 1700, 303, 6974, 994, 279, 269, 19577, 1348, 707, 22008, 585, 6959, 454, 6524, 26446, 707, 2816, 3498, 267, 581, 2386, 547, 2689, 707, 22008, 8499, 585, 1022, 6959, 610, 29927, 269, 6333, 6998, 513, 3318, 21927, 610, 11967, 26393, 547, 2689, 621, 1932, 267, 2523, 952, 789, 2811, 4810, 538, 519, 2872, 596, 2811, 7311, 547, 269, 589, 2034, 6644, 666, 581, 3730, 538, 4543, 596, 4739, 513, 1134, 1790, 565, 1639, 22008, 563, 5278, 12820, 267, 2523, 9945, 267, 949, 1683, 741, 1378, 22008, 10959, 543, 1806, 547, 2327, 596, 1331, 782, 2838, 1344, 538, 519, 3898, 789, 4782, 269, 6969, 596, 10505, 707, 3498, 267, 1118, 2386, 547, 1413, 585, 1022, 2027, 22008, 4808, 519, 16108, 814, 13890, 269, 1280, 3236, 267, 930, 5238, 949, 2154, 596, 547, 1592, 1152, 4143, 4744, 31277, 267, 2361, 1740, 267, 17440, 543, 3318, 8100, 563, 18439, 811, 4930, 454, 268, 1627, 26031, 281, 1215, 7043, 9701, 513, 15147, 14594, 2142, 286, 630, 4415, 7151, 543, 9669, 994, 268, 1215, 547, 3503, 606, 15928, 7201, 8586, 1763, 2541, 630, 4415, 7151, 994, 268, 1215, 1677, 7994, 519, 7454, 674, 2632, 585, 2659, 22008, 630, 4415, 5440, 476, 1015, 674, 20184, 994, 268, 1215, 1677, 3503, 589, 22008, 630, 4415, 22276, 543, 7151, 994, 268, 1215, 1677, 3503, 513, 15147, 14594, 2060, 3143, 15232, 538, 476, 278, 17778, 454, 268, 1215, 547, 3503, 606, 14288, 15147, 14594, 630, 31936, 7151, 14594, 994, 268, 1215, 547, 3503, 2659, 1401, 4624, 6428, 776, 538, 513, 1763, 2541, 630, 4415, 7151, 994, 268, 476, 1704, 17791, 1260, 3353, 6509, 10341, 630, 31936, 16763, 31326, 585, 15306, 338, 994, 268, 1215, 1677, 3417, 6428, 776, 21673, 725, 538, 513, 15147, 14594, 630, 4415, 7151, 994, 268, 16763, 22108, 281, 5808, 1677, 9105, 585, 2290, 543, 1215, 1677, 3503, 2290, 454, 268, 1215, 547, 3503, 513, 22008, 12834, 630, 4415, 6201, 994, 268, 476, 278, 570, 12460, 10341, 585, 22008, 338, 630, 4415, 6201, 267, 17778, 543, 9669, 264, 0, 314, 24165, 309, 3041, 12778, 3201, 13138, 23177, 6369, 3582, 20978, 14655, 2639, 314, 9558, 331, 1807, 779, 4967, 2408, 538, 4009, 23049, 24358, 314, 23114, 1344, 814, 1044, 2699, 716, 539, 24358, 314, 763, 21626, 2630, 568, 689, 519, 3296, 540, 519, 2376, 602, 25701, 547, 519, 15840, 320, 685, 328, 18321, 2639, 314, 14630, 281, 316, 26062, 21017, 540, 1546, 344, 476, 15793, 275, 910, 5822, 808, 636, 3385, 561, 27138, 5055, 476, 9610, 277, 910, 476, 1724, 5130, 476, 2735, 277, 454, 314, 296, 1087, 826, 3143, 12727, 316, 476, 10082, 6434, 454, 291, 665, 3701, 540, 519, 9324, 540, 25385, 32025, 454, 25567, 320, 779, 769, 1464, 547, 9324, 344, 7464, 1436, 540, 5274, 7126, 538, 9459, 4429, 291, 17805, 3143, 269, 630, 4375, 994, 1862, 9459, 779, 1480, 2924, 2853, 2483, 1862, 4438, 519, 1032, 267, 519, 3909, 18441, 2322, 3297, 1496, 29442, 316, 5712, 540, 1390, 6161, 585, 741, 1134, 5630, 269, 2060, 519, 11056, 540, 13206, 756, 4432, 12174, 1014, 267, 519, 7986, 4035, 267, 543, 10795, 6285, 1996, 5840, 543, 27098, 1143, 267, 22504, 7642, 5433, 602, 789, 941, 12517, 12219, 269, 6684, 267, 950, 513, 1895, 540, 519, 2551, 22983, 513, 15840, 320, 685, 328, 1747, 540, 10847, 543, 519, 2229, 25868, 7221, 540, 519, 15840, 320, 685, 328, 2146, 267, 2818, 540, 713, 3392, 849, 5433, 12219, 269, 769, 519, 11768, 540, 519, 1007, 11156, 267, 607, 538, 519, 2025, 11156, 267, 7642, 267, 10271, 543, 2098, 19660, 770, 20379, 616, 18005, 6444, 267, 855, 15840, 320, 779, 616, 711, 6444, 607, 513, 3909, 12102, 269, 634, 2229, 814, 14578, 7150, 602, 3909, 18441, 786, 711, 581, 1641, 547, 20655, 543, 18275, 543, 741, 2924, 786, 581, 6870, 267, 543, 1152, 1346, 945, 616, 15034, 540, 1808, 19374, 786, 581, 18486, 543, 21991, 3176, 269, 1703, 568, 1100, 2963, 540, 20655, 543, 18275, 676, 519, 2229, 267, 855, 3668, 540, 1852, 676, 519, 1533, 2229, 814, 3361, 930, 2516, 602, 1289, 2933, 968, 1177, 820, 892 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1995, 609, 938, 3028, 11791, 267, 2653, 267, 543, 2922, 563, 2791, 723, 547, 581, 476, 1911, 260, 2386, 540, 519, 2298, 540, 707, 1587, 547, 2285, 513, 2724, 25746, 10018, 269, 901, 6257, 721, 9985, 269, 5269, 2386, 602, 713, 10018, 568, 11207, 12001, 19403, 811, 454, 10376, 1957, 568, 7768, 689, 15072, 267, 2687, 547, 707, 5528, 269, 898, 568, 1287, 13761, 676, 938, 17096, 1673, 564, 1254, 3301, 269, 1703, 568, 1100, 7934, 1141, 17096, 1223, 25837, 538, 19403, 811, 454, 12552, 547, 938, 1863, 26941, 267, 972, 568, 1100, 1259, 585, 596, 547, 581, 5667, 15384, 30829, 269, 1284, 786, 960, 593, 707, 1957, 2394, 596, 616, 4625, 6126, 609, 519, 1267, 19403, 811, 454, 7312, 4757, 568, 2922, 267, 607, 649, 4558, 621, 2687, 547, 3486, 1239, 4027, 3652, 269, 2659, 4871, 3877, 616, 5150, 267, 607, 649, 946, 1152, 6325, 8569, 1949, 19403, 811, 454, 3528, 11488, 721, 707, 2724, 267, 596, 4444, 519, 3028, 649, 1683, 269, 6744, 856, 938, 2474, 543, 2175, 952, 596, 4782, 1870, 12909, 547, 581, 9788, 856, 538, 4013, 1893, 19403, 811, 0, 298, 18853, 2207, 294, 11286, 2894, 26395, 312, 8946, 5058, 306, 9215, 918, 301, 8582, 476, 272, 563, 1432, 568, 15206, 888, 30747, 7124, 568, 519, 1034, 1271, 1153, 1032, 585, 1034, 1453, 563, 27736, 945, 7390, 9656, 616, 3335, 1063, 476, 277, 543, 476, 1321, 1296, 2025, 267, 543, 621, 568, 835, 540, 519, 1034, 4922, 6026, 5049, 540, 1453, 563, 30747, 1120, 691, 839, 616, 519, 4102, 1857, 1153, 1062, 538, 5245, 543, 519, 1158, 267, 543, 789, 616, 2196, 676, 519, 20448, 540, 5245, 563, 5445, 616, 849, 835, 540, 1152, 1614, 8241, 1857, 3506, 538, 519, 2197, 609, 606, 7471, 6437, 563, 10743, 689, 1169, 1533, 543, 8513, 7390, 519, 1153, 267, 543, 1082, 540, 922, 679, 1503, 906, 2097, 689, 6917, 2950, 563, 30747, 7124, 4191, 616, 1631, 2139, 585, 9042, 693, 1034, 1857, 3506, 2066, 5245, 267, 543, 930, 1533, 3506, 849, 723, 4191, 563, 5278, 616, 2139, 538, 9656, 267, 855, 1866, 786, 581, 2139, 585, 946, 538, 3119, 1153, 563, 1432, 547, 1224, 693, 9877, 1120, 11301, 888, 298, 5407, 717, 6914, 568, 519, 1101, 942, 513, 1126, 786, 581, 2111, 547, 1224, 5022, 689, 513, 1592, 267, 607, 789, 666, 1152, 1224, 835, 4484, 693, 513, 942, 563, 763, 5022, 616, 19882, 1927, 547, 1118, 909, 519, 9904, 563, 1103, 519, 2250, 267, 1053, 941, 5143, 789, 1223, 1152, 1224, 5022, 538, 519, 9904, 543, 741, 13002, 729, 711, 6743, 693, 563, 3086, 267, 789, 666, 1224, 5022, 543, 6698, 538, 519, 1913, 789, 2328, 563, 1432, 616, 519, 4191, 585, 888, 30747, 1120, 731, 839, 723, 513, 3099, 540, 4191, 563, 288, 4484, 1129, 585, 968, 330, 5407, 892, 1797, 602, 513, 1126, 814, 547, 1376, 9656, 2542, 5022, 689, 519, 9904, 267, 855, 972, 616, 930, 4191, 602, 949, 581, 4443, 547, 946, 585, 7820, 1453, 563, 288, 1433, 1129, 1797, 602, 596, 666, 1376, 513, 1650, 563, 288, 8768, 1129, 1797, 596, 666, 2030, 5810, 563, 288, 2915, 1129, 1797, 789, 666, 2911, 563, 288, 6177, 1129, 1797, 5017, 666, 581, 4862, 563, 288, 3165, 1129, 1797, 3165, 666, 581, 2938, 563, 1692, 798, 594, 1224, 693, 513, 9877, 1120, 770, 523, 888, 763, 4191, 693, 513, 9656, 786, 948, 1453, 1174, 519, 2495, 540, 1913, 563, 10376, 4484, 666, 723, 1114, 10096, 4470, 593, 519, 5022, 538, 621, 563, 2690, 1383, 267, 952, 972, 568, 513, 4484, 1572, 968, 326, 892, 538, 513, 4484, 1129, 267, 596, 666, 1224, 968, 326, 10275, 892, 610, 968, 330, 3766, 892, 547, 5815, 602, 519, 4484, 568, 1644, 547, 968, 326, 9731, 2252, 972, 568, 606, 3063, 4484, 1572, 513, 968, 330, 5608, 621, 1797, 968, 330, 892, 538, 519, 4484, 1129, 563, 4692, 594, 946, 9877, 1120, 7539, 1129, 547, 4001, 1866, 888, 8133, 267, 596, 543, 707, 1126, 666, 946, 9877, 1120, 691, 2996, 1129, 563, 2252, 596, 1616, 547, 6338, 707, 1126, 547, 519, 9904, 596, 786, 991, 547, 2328, 707, 1126, 513, 1592, 540, 5022, 547, 948, 873, 1451, 519, 9904, 9904, 563, 763, 4484, 4191, 596, 946, 666, 581, 9102, 610, 5116, 538, 513, 17835, 693, 1753, 563, 7312, 1126, 786, 1287, 723, 519, 4781, 547, 1224, 891, 5022, 563, 2252, 707, 1126, 568, 1932, 1762, 547, 1224, 267, 596, 1058, 849, 2285, 873, 513, 1592, 547, 1224, 609, 873, 607, 789, 1332, 4587, 563, 2710, 9877, 1120, 691, 757, 723, 606, 4830, 6437, 888, 30747, 1120, 2714, 839, 616, 711, 4830, 543, 798, 711, 723, 606, 4081, 5057, 547, 873, 563, 4913, 267, 930, 15206, 518, 5049, 798, 723, 606, 2296, 5057, 563, 298, 5407, 717, 1068, 625, 616, 711, 4397, 547, 581, 2111, 1224, 782, 5022, 538, 606, 9904, 563, 4913, 952, 596, 723, 513, 1126, 945, 568, 1565, 547, 1224, 610, 2328, 5022, 538, 9904, 267, 596, 786, 581, 1210, 9877, 1120, 1068, 625, 5022, 547, 4001, 873, 563, 1692, 547, 5965, 585, 9877, 1120, 6814, 1362, 888, 763, 1101, 1900, 568, 547, 1205, 707, 1126, 779, 2012, 543, 4266, 540, 4332, 2953, 563, 5445, 786, 849, 991, 547, 2626, 513, 1906, 2055, 827, 741, 1920, 543, 1153, 1686, 267, 543, 1018, 1893, 789, 3717, 563, 763, 1985, 1900, 568, 2542, 513, 9877, 1120, 691, 1676, 1362, 563, 298, 5407, 717, 4958, 7770, 568, 513, 1153, 1141, 782, 1053, 4309, 519, 1482, 6437, 267, 543, 616, 782, 9415, 547, 1224, 519, 1482, 2835, 563, 288, 9877, 1120, 691, 550, 786, 711, 917, 1018, 789, 616, 2542, 2394, 789, 723, 1224, 519, 1101, 1433, 789, 616, 4397, 547, 1224, 563, 5278, 15206, 619, 1224, 689, 519, 1433, 968, 763, 9877, 1120, 2120, 779, 18361, 9731, 1692, 1281, 9877, 1120, 691, 1115, 1153, 960, 888, 298, 5407, 717, 4958, 2583, 1153, 568, 2966, 585, 9877, 1120, 691, 11367, 1063, 476, 277, 268, 1321, 1296, 2025, 543, 5161, 540, 2542, 513, 1592, 543, 1565, 9904, 563, 1607, 786, 581, 519, 1101, 1900, 538, 9877, 1120, 691, 1263, 28517, 513, 1126, 563, 2791, 786, 723, 519, 4316, 547, 1224, 9904, 5022, 267, 1224, 1650, 543, 2328, 5022, 563, 298, 5407, 268, 717, 4958, 7770, 9656, 568, 835, 538, 799, 782, 9877, 1120, 691, 564, 1562, 616, 2838, 547, 1224, 606, 9904, 1433, 563, 2791, 949, 1224, 606, 2296, 1433, 267, 513, 4436, 1433, 267, 610, 513, 3943, 1433, 563, 763, 918, 5407, 717, 4958, 7815, 779, 18361, 568, 513, 1433, 2854, 676, 519, 9877, 1120, 691, 2940, 543, 513, 4116, 689, 519, 1153, 563, 10376, 9877, 1120, 691, 21392, 666, 946, 621, 547, 1451, 519, 5022, 789, 616, 9277, 547, 1224, 538, 9877, 1120, 817, 976, 1362, 563, 2791, 543, 707, 9877, 1120, 612, 786, 849, 581, 2016, 513, 918, 5407, 268, 7476, 339, 779, 30618, 543, 606, 9904, 1592, 563, 7312, 9877, 1120, 652, 523, 786, 1287, 581, 2111, 946, 519, 9904, 538, 918, 5407, 3766, 6914, 563, 2791, 666, 849, 1224, 918, 5407, 268, 0, 288, 2875, 10211, 6841, 528, 568, 513, 6841, 528, 945, 23216, 547, 2628, 2576, 3116, 779, 2875, 10211, 7963, 1058, 646, 610, 1352, 9949, 593, 513, 10211, 269, 769, 519, 2013, 540, 2875, 12029, 538, 519, 2136, 2276, 267, 519, 2229, 18715, 519, 5313, 12029, 602, 1053, 10210, 269, 8549, 2875, 12029, 616, 513, 1454, 2539, 1981, 950, 3379, 547, 824, 796, 5913, 3293, 12029, 267, 14356, 1317, 789, 616, 6905, 689, 513, 23831, 9872, 896, 519, 10018, 540, 519, 8549, 2229, 269, 10753, 534, 6841, 832, 616, 1533, 24507, 610, 4357, 3906, 538, 5279, 540, 28720, 519, 8549, 7731, 4065, 10753, 534, 5358, 630, 13697, 5085, 303, 1070, 799, 13564, 3278, 10283, 2875, 32225, 269, 645, 6563, 619, 3622, 2628, 513, 476, 272, 260, 9949, 13927, 602, 568, 6394, 1310, 1142, 771, 321, 9309, 618, 547, 519, 10018, 8116, 538, 1931, 547, 3382, 519, 3790, 540, 1202, 1005, 519, 10211, 267, 1498, 930, 8041, 786, 3649, 633, 713, 13927, 563, 10817, 5875, 832, 543, 5491, 454, 22923, 10211, 23078, 3622, 946, 513, 6841, 528, 952, 789, 1745, 789, 786, 581, 8572, 610, 31464, 547, 5150, 513, 10211, 593, 741, 1378, 630, 1721, 1383, 267, 952, 519, 32358, 814, 4057, 5491, 610, 1100, 5491, 1686, 1916, 288, 2875, 10211, 568, 2966, 547, 948, 1053, 2628, 585, 6280, 24875, 267, 2835, 267, 543, 2713, 9276, 269, 898, 949, 8428, 689, 824, 2010, 540, 12029, 538, 602, 519, 1719, 2557, 949, 581, 15186, 2539, 543, 519, 23231, 618, 8430, 949, 581, 1219, 518, 1042, 1247, 519, 2875, 568, 1869, 538, 1153, 269, 898, 849, 15320, 538, 1082, 2477, 538, 519, 7453, 4031, 15725, 556, 10864, 582, 11868, 543, 28153, 563, 307, 21033, 2875, 4025, 538, 5245, 616, 2356, 14102, 998, 519, 670, 4488, 306, 29803, 10325, 269, 901, 7616, 568, 538, 519, 1106, 540, 12029, 602, 616, 711, 3339, 22440, 269, 1358, 616, 1065, 4660, 936, 942, 3842, 513, 24045, 3454, 267, 1210, 513, 23510, 4336, 1759, 593, 3454, 762, 4747, 269, 1306, 513, 12343, 267, 10211, 23231, 906, 616, 1152, 1500, 950, 519, 5449, 2875, 814, 4747, 547, 1489, 519, 23231, 906, 269, 5494, 870, 338, 616, 2139, 585, 2038, 23231, 618, 269, 634, 10325, 568, 2139, 547, 4961, 543, 8628, 19493, 31705, 25963, 269, 31283, 2389, 6479, 25689, 585, 2713, 9276, 616, 849, 2139, 269, 7981, 6351, 568, 2139, 547, 6805, 1053, 563, 2467, 814, 1044, 9880, 602, 519, 670, 4488, 306, 29803, 10325, 5932, 606, 24539, 585, 1004, 547, 4734, 519, 2197, 1310, 22692, 267, 1317, 1346, 945, 798, 711, 3758, 606, 8241, 3454, 2132, 798, 711, 1118, 1022, 23231, 906, 269, 0, 14503, 1662, 11568, 538, 853, 7469, 543, 6790, 335, 1546, 1188, 630, 3607, 994, 13349, 4162, 540, 853, 7469, 543, 6790, 335, 454, 13559, 2318, 9279, 857, 454, 6853, 8328, 268, 2014, 1139, 584, 894, 5563, 454, 268, 5570, 839, 531, 540, 29935, 17011, 543, 2960, 454, 1805, 7469, 268, 1114, 11868, 4162, 454, 302, 11985, 4302, 267, 27598, 10125, 454, 290, 20635, 18613, 536, 31708, 540, 18683, 454, 303, 28558, 22331, 848, 268, 9397, 1524, 670, 273, 302, 273, 454, 4910, 9665, 547, 23925, 20919, 630, 326, 992, 593, 5839, 3519, 4486, 31893, 994, 294, 992, 593, 2241, 2923, 630, 333, 22021, 31893, 994, 23744, 7639, 1134, 538, 1604, 630, 327, 2214, 8558, 994, 303, 639, 3812, 568, 5394, 543, 27598, 454, 1805, 10517, 268, 1114, 11868, 4162, 454, 9558, 331, 1075, 550, 267, 15454, 880, 10125, 454, 291, 2177, 31415, 3132, 22331, 848, 454, 306, 17567, 547, 23925, 20919, 630, 18484, 1405, 1332, 593, 5839, 3519, 4486, 994, 18484, 1405, 1332, 593, 2241, 2923, 630, 333, 22021, 31893, 994, 10090, 958, 7639, 14605, 538, 519, 1604, 454, 303, 639, 3812, 568, 1583, 657, 1481, 29532, 454, 25618, 625, 540, 29414, 13596, 454, 306, 269, 28857, 268, 1292, 2014, 540, 15958, 4345, 538, 12418, 267, 855, 5540, 1082, 2249, 454, 306, 269, 15554, 514, 3410, 2664, 639, 268, 7510, 25866, 320, 538, 5243, 268, 2960, 6553, 454, 306, 269, 1728, 16307, 268, 608, 644, 894, 27150, 538, 14918, 630, 10193, 538, 9640, 543, 12418, 9984, 2960, 3968, 799, 2636, 24694, 540, 16796, 454, 306, 269, 28603, 573, 529, 268, 2960, 862, 839, 531, 538, 782, 2249, 269, 7681, 540, 546, 345, 1447, 1455, 267, 4352, 621, 3029, 6915, 16344, 916, 593, 15229, 734, 285, 666, 2014, 18072, 3968, 563, 1805, 7469, 28857, 268, 2686, 4162, 454, 273, 1114, 8280, 565, 903, 1231, 281, 2347, 12498, 8280, 565, 1736, 1813, 547, 13672, 25560, 268, 3123, 31736, 5250, 538, 2281, 630, 719, 335, 28666, 540, 1591, 9115, 5148, 12498, 25560, 268, 838, 3107, 3912, 601, 514, 848, 630, 338, 874, 532, 3912, 601, 514, 1336, 538, 3662, 1591, 17011, 264, 734, 514, 14814, 630, 933, 752, 264, 645, 8280, 565, 1736, 563, 21547, 3519, 4486, 31893, 268, 26178, 7542, 618, 619, 454, 5141, 2794, 1927, 546, 14121, 18106, 6498, 2059, 519, 14742, 454, 17843, 11868, 11202, 8328, 689, 1875, 1790, 987, 8328, 853, 7469, 454, 306, 269, 28857, 543, 590, 4877, 12065, 527, 1069, 2664, 639, 281, 30243, 592, 848, 267, 5027, 572, 267, 8280, 565, 1736, 543, 22331, 848, 2318, 454, 306, 269, 1728, 16307, 281, 30243, 592, 848, 4756, 267, 5027, 572, 543, 22331, 848, 2318, 267, 8280, 565, 1736, 2942, 454, 15239, 1790, 987, 8328, 12490 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 307, 578, 1841, 513, 2859, 10500, 15256, 21887, 281, 12634, 5369, 17871, 6657, 609, 3690, 265, 543, 13834, 6348, 8410, 14127, 15706, 454, 3528, 29366, 5062, 289, 2465, 454, 1607, 1957, 6799, 1007, 2618, 17871, 2126, 3681, 585, 1098, 265, 630, 10520, 14054, 267, 1098, 25757, 267, 4008, 8686, 926, 656, 267, 4008, 4302, 518, 267, 4008, 5714, 267, 989, 2658, 267, 1079, 1606, 2869, 527, 264, 543, 4008, 1875, 8410, 14127, 630, 294, 10998, 264, 7218, 269, 898, 9607, 519, 991, 585, 891, 3681, 676, 10223, 519, 24245, 10636, 846, 343, 626, 543, 1098, 874, 11131, 8456, 1369, 519, 2790, 1072, 2361, 267, 1519, 519, 1686, 540, 2619, 860, 1944, 1098, 265, 1541, 5874, 543, 2833, 1369, 2618, 17871, 3069, 3294, 269, 4706, 1445, 568, 593, 519, 2487, 543, 5571, 14759, 540, 519, 2361, 607, 621, 12211, 547, 1098, 265, 543, 4008, 1875, 8410, 14127, 2043, 543, 5267, 875, 4207, 2618, 17871, 2259, 1522, 581, 1031, 547, 7668, 1098, 265, 543, 4008, 1875, 8410, 14127, 7218, 563, 9558, 265, 630, 10520, 14054, 267, 1098, 25757, 267, 4008, 8686, 926, 656, 267, 4008, 4302, 518, 267, 4008, 5714, 267, 989, 2658, 267, 1079, 1606, 2869, 527, 264, 543, 4008, 1875, 8410, 14127, 630, 294, 10998, 264, 7218, 723, 8246, 2618, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 2304, 9874, 270, 2304, 574, 639, 7869, 257, 607, 851, 540, 834, 25787, 1315, 31499, 1315, 28044, 1014, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 308, 950, 519, 11378, 616, 2942, 563, 306, 31451, 9577, 5288, 8776, 577, 1234, 299, 308, 454, 306, 31451, 1599, 568, 1776, 11852, 1599, 1031, 538, 8849, 5121, 269, 590, 31451, 1599, 17016, 2418, 1063, 476, 271, 543, 476, 272, 267, 621, 568, 4122, 1031, 538, 9352, 8760, 4247, 269, 2755, 8776, 577, 1234, 299, 308, 568, 811, 2500, 538, 7231, 609, 642, 4314, 532, 27080, 1966, 269, 769, 8776, 577, 1234, 299, 308, 267, 519, 2418, 540, 2942, 11378, 786, 581, 1305, 547, 4642, 267, 799, 666, 2061, 519, 27080, 689, 642, 4314, 532, 1282, 1394, 335, 1886, 698, 566, 269, 901, 4183, 568, 2523, 3730, 538, 2620, 8849, 5121, 607, 621, 2636, 585, 5488, 19427, 540, 519, 3060, 563, 307, 534, 327, 9577, 5288, 8776, 577, 1234, 299, 308, 454, 307, 534, 327, 1599, 568, 2943, 1776, 11852, 1599, 602, 17016, 2418, 1063, 910, 272, 543, 476, 272, 269, 769, 6476, 609, 8776, 577, 1234, 299, 308, 267, 18000, 327, 814, 513, 6626, 2039, 540, 3977, 2418, 269, 898, 779, 4122, 1031, 538, 3239, 4393, 1141, 2942, 2418, 616, 1271, 269, 769, 4334, 267, 8776, 577, 1234, 299, 308, 568, 1939, 14260, 3608, 543, 2636, 585, 519, 3728, 19427, 540, 8849, 5121, 269, 898, 568, 2523, 3730, 538, 2620, 8849, 5121, 1141, 1082, 6106, 616, 1031, 547, 1349, 2362, 1377, 2934, 563, 21918, 14591, 543, 5871, 27190, 1389, 609, 8776, 577, 1234, 299, 308, 454, 21918, 14591, 540, 8776, 577, 1234, 299, 308, 454, 307, 25403, 1234, 299, 308, 267, 899, 1022, 824, 11852, 1599, 267, 814, 922, 7687, 269, 2290, 1713, 17498, 728, 568, 602, 621, 23119, 689, 519, 968, 323, 3539, 1234, 299, 308, 892, 1966, 269, 898, 4523, 950, 513, 1804, 1297, 540, 11409, 9846, 2132, 2942, 3977, 267, 3056, 547, 2597, 10311, 543, 1818, 1346, 11409, 538, 10869, 269, 901, 3390, 5012, 547, 4666, 11409, 267, 799, 798, 711, 1451, 543, 9337, 741, 12035, 269, 898, 267, 538, 2490, 267, 561, 1263, 1492, 985, 519, 2866, 1184, 543, 2306, 621, 9875, 585, 519, 3060, 547, 27721, 269, 28304, 713, 3390, 3340, 6297, 3355, 1436, 540, 12035, 543, 9186, 6724, 610, 1210, 824, 1644, 11852, 3252, 563, 13349, 27190, 1389, 950, 4635, 8776, 577, 1234, 299, 308, 454, 12867, 1118, 1455, 9073, 950, 1210, 8776, 577, 1234, 299, 308, 267, 3056, 547, 4057, 2203, 2773, 269, 634, 1034, 1455, 12161, 568, 711, 4259, 909, 519, 2048, 514, 2897, 685, 9936, 547, 3020, 269, 1635, 9949, 267, 519, 2048, 514, 2897, 685, 9936, 568, 1305, 547, 7301, 267, 3056, 547, 606, 5470, 1247, 22589, 519, 1599, 269, 634, 2048, 514, 2897, 685, 5106, 1110, 5809, 519, 3403, 21723, 267, 865, 519, 3312, 1239, 5293, 998, 519, 1599, 2242, 269, 898, 568, 1898, 547, 1832, 713, 9936, 538, 2247, 1247, 7598, 8776, 577, 1234, 299, 308, 269, 6271, 12161, 568, 3355, 1944, 519, 12035, 543, 9186, 6724, 13385, 569, 610, 711, 1210, 16801, 3339, 1436, 267, 799, 666, 1291, 547, 642, 4314, 532, 27080, 610, 1011, 5317, 27080, 269, 7743, 3355, 1436, 2553, 543, 13387, 3339, 1436, 2409, 666, 948, 547, 13468, 891, 9073, 563, 5475, 7234, 8776, 577, 1234, 299, 308, 11852, 1599, 267, 621, 568, 2312, 1946, 621, 568, 513, 2442, 3903, 538, 3684, 1565, 269, 634, 1234, 299, 308, 1599, 568, 1939, 14260, 3608, 267, 8471, 267, 543, 2636, 2656, 19427, 538, 8849, 5121, 269, 898, 568, 849, 1875, 31059, 543, 2636, 585, 1394, 335, 1886, 698, 566, 267, 799, 2306, 621, 606, 5140, 3903, 585, 2620, 5121, 269, 1879, 4294, 3693, 30150, 593, 606, 3403, 21723, 267, 621, 30283, 782, 2942, 2609, 609, 4642, 543, 3762, 519, 1875, 24308, 3283, 24240, 269, 1635, 3257, 865, 267, 621, 16401, 525, 6846, 538, 519, 1239, 267, 1818, 621, 606, 4998, 3903, 585, 3239, 543, 4633, 6284, 4247, 269, 15788, 267, 8776, 577, 1234, 299, 308, 568, 513, 3532, 543, 11684, 11852, 1599, 602, 1169, 3684, 1565, 19995, 1058, 1174, 543, 946, 538, 741, 2620, 1565, 3631, 563, 2691, 1603, 606, 2376, 267, 4946, 4143, 543, 22973, 5007, 6402, 543, 8100, 666, 7494, 2087, 922, 17258, 543, 1871, 547, 519, 5467, 269, 898, 568, 1271, 547, 1152, 3095, 547, 2959, 602, 616, 4143, 547, 519, 1888, 543, 1683, 3606, 1344, 602, 666, 3986, 519, 5467, 779, 1620, 540, 519, 1641, 2339, 269, 1879, 4946, 5007, 6402, 267, 621, 568, 1655, 547, 798, 865, 6923, 1369, 519, 5037, 1257, 543, 711, 20358, 519, 2376, 609, 1932, 1082, 6402, 269, 1635, 3246, 5007, 8100, 267, 596, 666, 2417, 3715, 3054, 607, 606, 6392, 538, 519, 2361, 543, 2087, 707, 2376, 779, 22048, 20823, 563, 2414, 1451, 811, 827, 519, 1888, 540, 23290, 882, 340, 543, 11852, 3252, 538, 12877, 307, 25403, 267, 596, 666, 4704, 519, 1739, 2200, 281, 0, 26073, 657, 538, 1603, 269, 11202, 657, 281, 589, 6651, 547, 713, 16520, 27620, 476, 1708, 274, 268, 4905, 268, 4962, 454, 26073, 657, 538, 1603, 28951, 912, 26073, 657, 568, 513, 17720, 3926, 602, 4016, 547, 519, 946, 540, 3929, 9029, 538, 1603, 610, 4633, 269, 898, 568, 835, 540, 519, 1614, 1292, 12331, 540, 30373, 267, 2059, 609, 31672, 630, 1952, 324, 2718, 547, 519, 17258, 610, 6392, 540, 519, 10584, 264, 543, 27291, 630, 1952, 324, 2718, 547, 7954, 610, 2601, 1040, 11202, 657, 568, 1031, 547, 4497, 519, 5467, 610, 26575, 781, 4664, 538, 1931, 547, 1711, 513, 811, 3532, 543, 10388, 4661, 563, 3080, 1259, 602, 5830, 666, 946, 2619, 657, 538, 741, 1603, 568, 998, 9423, 269, 1635, 4687, 513, 2123, 1650, 610, 23278, 1774, 602, 859, 10280, 4664, 538, 519, 5467, 267, 519, 5856, 666, 1711, 513, 4514, 4276, 609, 741, 5304, 543, 1118, 741, 4661, 811, 11541, 543, 8903, 269, 1280, 1383, 267, 513, 5856, 1522, 946, 2619, 657, 547, 4766, 513, 2295, 2914, 3402, 532, 4090, 538, 741, 1272, 267, 971, 607, 519, 2530, 540, 513, 6068, 835, 267, 538, 1931, 547, 8300, 6568, 538, 519, 5467, 543, 1118, 513, 1448, 827, 519, 2956, 540, 513, 1978, 3390, 563, 5194, 1259, 602, 5830, 666, 946, 2619, 657, 568, 676, 1210, 12667, 543, 10855, 1893, 547, 5862, 513, 12667, 4605, 538, 519, 5467, 781, 2247, 269, 901, 666, 948, 547, 1711, 513, 2631, 540, 3929, 3178, 543, 16982, 538, 519, 5467, 267, 1818, 873, 811, 2693, 547, 581, 6410, 676, 519, 4661, 1373, 4843, 269, 1280, 1383, 267, 513, 5856, 1522, 946, 10855, 1893, 547, 5862, 513, 4605, 540, 519, 7092, 540, 513, 1895, 540, 1004, 267, 538, 1931, 547, 8300, 4606, 540, 8296, 543, 513, 7287, 547, 948, 563, 26073, 657, 666, 849, 581, 1031, 547, 9029, 547, 513, 5467, 781, 2631, 540, 13919, 610, 2418, 269, 1635, 25194, 606, 4661, 538, 513, 1259, 602, 20383, 609, 519, 5467, 781, 2418, 543, 4978, 267, 519, 5856, 666, 7148, 883, 741, 4664, 543, 1711, 513, 811, 10388, 4661, 269, 1280, 1383, 267, 513, 5856, 1522, 9029, 547, 513, 5467, 781, 2631, 540, 5126, 676, 10503, 513, 3510, 538, 799, 606, 17608, 1268, 814, 1044, 4636, 2685, 15034, 267, 538, 1931, 547, 1118, 513, 2013, 585, 6963, 538, 519, 7803, 5126, 1062, 563, 14454, 267, 2619, 657, 568, 606, 1271, 1907, 538, 519, 5856, 781, 32367, 267, 607, 621, 2636, 873, 547, 1921, 609, 741, 5304, 593, 606, 3929, 1377, 543, 1711, 513, 811, 3532, 543, 10388, 4661, 269, 1635, 1210, 9423, 267, 10855, 1893, 267, 543, 22587, 547, 2418, 543, 4978, 267, 5830, 666, 3927, 7148, 883, 741, 5467, 781, 4664, 543, 1711, 513, 4514, 4276, 609, 741, 5304, 563, 20685, 657, 267, 11202, 657, 267, 543, 8298, 657, 454, 7078, 540, 31868, 2044, 9386, 281, 634, 2487, 2333, 538, 24875, 693, 519, 1533, 6280, 568, 513, 1129, 602, 1100, 835, 786, 581, 2111, 547, 6488, 2852, 538, 2947, 1296, 269, 5675, 602, 3096, 2619, 657, 786, 849, 1419, 9772, 513, 1879, 543, 1215, 547, 2422, 11202, 657, 538, 2659, 5675, 11202, 657, 666, 581, 1031, 538, 1034, 2010, 540, 3860, 267, 5339, 267, 610, 7553, 12454, 1603, 269, 5221, 1004, 666, 581, 3362, 6410, 676, 741, 4664, 267, 2619, 657, 568, 513, 3532, 7154, 540, 30373, 269, 30248, 666, 1118, 721, 7925, 267, 543, 606, 2278, 666, 946, 713, 13438, 547, 1205, 519, 5304, 547, 3494, 602, 1010, 610, 1200, 4661, 568, 513, 8903, 835, 269, 1548, 616, 1806, 540, 2619, 657, 286, 898, 666, 849, 1118, 596, 3100, 1159, 1872, 267, 4299, 267, 610, 30442, 563, 3963, 568, 2619, 657, 865, 1271, 538, 30373, 286, 1215, 666, 596, 946, 2619, 657, 538, 707, 1603, 286, 594, 1174, 1946, 1004, 771, 3697, 8666, 16986, 269, 1924, 607, 596, 3715, 513, 2631, 540, 31672, 538, 707, 1603, 267, 1589, 827, 4845, 2497, 543, 3159, 269, 589, 928, 7251, 4925, 616, 811, 18136, 982, 513, 1592, 540, 5013, 543, 5515, 267, 865, 621, 781, 8797, 547, 946, 873, 693, 519, 4098, 540, 707, 10388, 1557, 269, 2659, 1433, 1522, 723, 513, 6915, 593, 519, 7452, 329, 871, 564, 269, 1809, 1018, 4010, 568, 713, 5339, 3926, 267, 543, 875, 798, 596, 2697, 621, 538, 513, 1257, 610, 946, 621, 538, 707, 1378, 1603, 286, 1677, 4019, 519, 4480, 540, 2619, 657, 267, 3442, 23278, 4925, 602, 786, 2721, 606, 3929, 3210, 689, 707, 3988, 269, 6201, 540, 2619, 657, 538, 17720, 18531, 1331, 281, 594, 5620, 513, 14134, 2443, 9410, 13162, 3751, 267, 12789, 269, 1411, 4440, 4465, 1405, 946, 2592, 538, 707, 10388, 1557, 267, 855, 952, 596, 2811, 15691, 547, 22321, 1004, 609, 7553, 267, 621, 781, 1271, 547, 1331, 7899, 540, 10444, 1469, 563, 20685, 657, 6599, 657, 568, 519, 9029, 547, 519, 6392, 543, 10639, 540, 519, 10584, 610, 5856, 269, 1284, 917, 4986, 827, 519, 12092, 540, 891, 10529, 267, 543, 2943, 649, 798, 1205, 513, 2178, 2631, 540, 31672, 269, 769, 930, 2010, 540, 1603, 267, 13461, 1932, 8185, 593, 2619, 657, 4805, 666, 24183, 707, 17258, 610, 17538, 602, 596, 723, 1100, 2963, 547, 1394, 909, 707, 7440, 269, 31898, 7595, 568, 1893, 602, 7479, 3547, 269, 6904, 3948, 27605, 693, 707, 2295, 1598, 902, 286, 2659, 31672, 849, 4679, 950, 596, 946, 513, 7059, 1935, 267, 799, 596, 666, 798, 676, 6236, 15852, 5784, 563, 2005, 781, 519, 5432, 1523, 540, 1412, 19651, 5288, 269, 901, 2887, 2329, 7518, 1080, 707, 5467, 781, 12194, 267, 543, 14944, 1149, 707, 17258, 269, 4595, 1291, 539, 17405, 814, 1044, 943, 1078, 856, 267, 6760, 2157, 723, 20034, 5471, 539, 269, 2659, 7802, 267, 707, 17267, 267, 707, 1560, 1893, 1765, 718, 891, 1919, 3310, 707, 5304, 269, 11408, 946, 519, 1907, 540, 2619, 657, 5402, 267, 543, 2057, 13461, 1932, 8185, 593, 7553, 547, 22321, 269, 5213, 1405, 581, 12922, 547, 5372, 1412, 21112, 262, 610, 1412, 338, 611, 262, 609, 1412, 1817, 337, 881, 262, 610, 1412, 339, 4048, 545, 262, 952, 519, 6381, 5963, 2992, 602, 269, 2290, 4640, 568, 547, 2721, 3007, 2047, 547, 707, 22754, 563, 1692, 568, 8751, 5701, 538, 519, 1433, 2619, 657, 286, 1635, 1565, 547, 946, 2619, 657, 538, 707, 1603, 267, 596, 666, 1020, 6793, 10388, 7440, 543, 1256, 1711, 21950, 6386, 269, 3690, 3836, 676, 6723, 589, 269, 2422, 2959, 707, 3988, 786, 5431, 607, 6325, 267, 971, 607, 1382, 689, 14046, 13746, 610, 18019, 3377, 3906, 269, 7102, 5503, 707, 1603, 814, 606, 3929, 1764, 596, 616, 7231, 609, 2619, 657, 269, 1548, 4664, 1281, 2619, 657, 18427, 286, 1284, 1616, 519, 2278, 610, 10584, 547, 723, 17258, 563, 2791, 723, 547, 1265, 519, 1505, 602, 1568, 585, 707, 1808, 5304, 269, 1306, 519, 10584, 267, 596, 1616, 519, 5304, 547, 1745, 519, 1482, 4664, 596, 1745, 827, 1945, 267, 596, 1616, 547, 14156, 1921, 609, 873, 543, 3310, 873, 269, 8298, 657, 568, 606, 9029, 547, 7954, 267, 543, 568, 513, 1259, 540, 7479, 8172, 606, 5304, 676, 2601, 269, 1261, 1572, 891, 27291, 267, 31672, 267, 543, 2619, 657, 269, 6153, 10388, 1603, 13187, 513, 2990, 676, 1210, 513, 4999, 540, 1614, 3504, 17720, 2553, 281, 27291, 267, 31672, 267, 543, 2619, 657, 269, 1772, 2619, 657, 6793, 982, 27291, 286, 1411, 666, 849, 2333, 707, 17258, 676, 1210, 3544, 2959, 585, 1489, 269, 1403, 621, 6663, 547, 18609, 519, 5304, 540, 1945, 610, 547, 7038, 519, 5467, 267, 621, 786, 4440, 4749, 946, 2619, 657, 563, 4407, 8666, 16986 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 666, 9156, 563, 16446, 5033, 523, 267, 4122, 5219, 547, 607, 8280, 657, 704, 8926, 568, 835, 540, 519, 4713, 540, 519, 5256, 10285, 1062, 269, 634, 2068, 568, 6140, 28955, 607, 26481, 5033, 523, 1282, 4638, 26697, 267, 11213, 552, 329, 659, 1637, 267, 2530, 540, 5391, 18480, 267, 543, 824, 2589, 269, 898, 568, 6140, 3361, 676, 25761, 5738, 10306, 4345, 269, 898, 568, 1419, 7294, 609, 14382, 22807, 267, 543, 519, 8905, 540, 3968, 568, 6140, 519, 1463, 3262, 540, 23443, 628, 1537, 543, 17150, 3968, 267, 4553, 676, 30754, 543, 18072, 3968, 563, 2026, 513, 1267, 540, 9190, 12289, 267, 519, 12982, 14242, 3123, 519, 25761, 5738, 2873, 547, 581, 1266, 528, 3022, 609, 1973, 269, 4438, 4638, 26697, 267, 519, 5347, 4887, 543, 1973, 8043, 4579, 267, 4611, 538, 1082, 2699, 1973, 2281, 543, 10669, 2281, 6404, 538, 519, 5033, 523, 563, 26108, 538, 5033, 523, 568, 1152, 513, 10835, 2864, 982, 513, 2068, 267, 865, 621, 568, 1898, 547, 1265, 519, 5817, 2014, 269, 16453, 5033, 523, 568, 5144, 344, 3043, 267, 1055, 22554, 267, 610, 5835, 880, 269, 14904, 1058, 979, 547, 513, 2834, 6413, 547, 2697, 519, 2014, 543, 4163, 856, 519, 31916, 2126, 269, 14904, 4043, 547, 11166, 26481, 5033, 523, 1310, 4638, 26697, 267, 10483, 676, 7646, 1928, 538, 519, 829, 710, 636, 267, 829, 1014, 531, 1858, 267, 610, 2539, 17737, 563, 2252, 1973, 538, 519, 5033, 523, 4386, 1152, 12212, 543, 1100, 1808, 2242, 616, 1336, 1310, 6514, 267, 713, 949, 581, 1813, 547, 11702, 689, 519, 28230, 540, 18784, 1507, 1973, 8043, 1282, 4638, 26697, 3361, 676, 8650, 20316, 543, 7344, 16580, 538, 930, 8031, 269, 4658, 666, 581, 4628, 16626, 676, 7080, 2056, 26697, 585, 513, 3018, 610, 1079, 269, 1924, 267, 789, 798, 711, 991, 547, 581, 15372, 539, 676, 713, 17573, 1973, 538, 5033, 523, 563, 295, 655, 657, 704, 8926, 666, 581, 8995, 952, 10770, 1973, 538, 519, 5033, 523, 568, 1336, 269, 476, 3445, 260, 540, 5033, 523, 609, 1973, 568, 3361, 676, 6553, 269, 1656, 1034, 540, 519, 11702, 1813, 547, 6553, 2501, 543, 4422, 543, 1281, 711, 2063, 1279, 269, 898, 568, 5227, 547, 1491, 519, 2757, 4457, 4915, 4144, 675, 6776, 543, 14640, 13611, 30346, 585, 31916, 2126, 267, 799, 1281, 711, 3132, 4187, 543, 666, 6146, 1585, 5686, 540, 4551, 543, 8290, 602, 2014, 3676, 540, 519, 5256, 10285, 1062, 269, 634, 2360, 540, 519, 2126, 616, 1713, 1310, 621, 568, 7318, 676, 4791, 2853, 563, 2252, 519, 5033, 523, 568, 6505, 2699, 267, 1769, 2699, 267, 610, 4158, 2699, 543, 3568, 1082, 2699, 1973, 2281, 267, 621, 568, 8280, 657, 704, 8926, 269, 901, 1419, 6920, 1875, 10391, 6553, 540, 519, 17150, 543, 25761, 5738, 2873, 282, 8280, 657, 704, 8926, 3361, 676, 12970, 568, 5266, 4686, 543, 568, 10770, 543, 7930, 24395, 730, 269, 12920, 657, 704, 8926, 666, 12212, 581, 3361, 676, 21061, 267, 11634, 626, 657, 558, 15633, 267, 11528, 22104, 11043, 3676, 267, 610, 519, 4999, 540, 1884, 4815, 698, 592, 656, 5061, 267, 543, 782, 891, 2665, 1058, 581, 5701, 585, 519, 7222, 3119, 3676, 563, 1432, 616, 519, 2489, 2188, 602, 949, 9594, 8280, 657, 704, 8926, 888, 1103, 329, 3753, 281, 4107, 569, 1775, 520, 4088, 545, 2188, 269, 772, 25233, 18362, 543, 4238, 949, 2014, 7063, 547, 519, 1085, 8527, 636, 543, 824, 1560, 2694, 267, 3976, 24254, 519, 2068, 563, 29189, 783, 1272, 17244, 281, 6431, 11962, 2623, 267, 12675, 4638, 17712, 29561, 267, 7050, 4638, 7287, 267, 543, 824, 4638, 5615, 666, 16578, 8280, 657, 704, 8926, 563, 1607, 2068, 814, 1100, 6654, 543, 6093, 2589, 538, 922, 2038, 1974, 269, 4475, 267, 585, 519, 19160, 540, 2367, 781, 1072, 267, 621, 568, 5227, 602, 5256, 2550, 17712, 664, 689, 3023, 267, 2057, 7050, 3023, 1272, 267, 2628, 3007, 547, 2123, 9882, 543, 10238, 527, 11515, 534, 4638, 26697, 269, 14904, 1058, 3548, 1447, 25970, 543, 18398, 3536, 563, 2252, 4143, 2589, 2408, 267, 585, 1383, 267, 1689, 540, 5033, 523, 2681, 267, 5033, 523, 6404, 609, 1973, 267, 8519, 4638, 7287, 267, 16349, 552, 329, 659, 1637, 267, 3355, 610, 3803, 8280, 657, 704, 8926, 540, 5033, 523, 267, 22394, 11926, 543, 1928, 538, 519, 829, 710, 636, 267, 1085, 8527, 636, 267, 2539, 17737, 267, 6418, 25427, 338, 267, 543, 1928, 538, 519, 4638, 8219, 1282, 552, 329, 659, 1637, 267, 2550, 1058, 581, 21713, 543, 979, 547, 519, 6413, 585, 15360, 543, 2126, 16425, 865, 607, 711, 547, 1020, 883, 513, 4049, 4576, 563, 2791, 949, 849, 581, 5461, 538, 281, 0, 293, 677, 8361, 2817, 19866, 13505, 568, 4092, 538, 3751, 8725, 267, 14411, 267, 4516, 267, 593, 8672, 8361, 267, 513, 7580, 267, 11506, 1448, 2282, 519, 5023, 540, 519, 9697, 4673, 638, 328, 5211, 267, 1141, 621, 8928, 883, 519, 853, 269, 18039, 5211, 693, 519, 7532, 1439, 540, 8235, 14411, 269, 634, 6830, 543, 519, 1448, 593, 799, 519, 6830, 729, 3710, 941, 3957, 1310, 8361, 16803, 267, 5449, 31924, 8566, 4261, 528, 540, 519, 19435, 540, 20563, 563, 288, 6830, 2305, 729, 9112, 1282, 519, 2782, 540, 476, 8687, 273, 547, 2149, 519, 3751, 8725, 9576, 25220, 667, 1442, 12881, 630, 1492, 3135, 540, 519, 1459, 6377, 9576, 13639, 5441, 540, 4516, 264, 593, 8672, 19291, 689, 513, 2009, 1977, 4323, 1282, 519, 2112, 543, 547, 6895, 17535, 6808, 593, 519, 853, 269, 18039, 5211, 543, 8235, 14411, 269, 589, 1454, 3677, 6830, 8719, 713, 4070, 538, 519, 476, 8146, 271, 338, 547, 2149, 519, 17189, 546, 1442, 12881, 543, 6870, 519, 7013, 13675, 547, 519, 681, 728, 879, 22575, 269, 634, 6830, 729, 17468, 538, 519, 476, 4350, 271, 338, 543, 568, 513, 1713, 15805, 16007, 269, 0, 310, 4770, 707, 10772, 949, 3100, 2241, 267, 855, 1034, 540, 519, 942, 267, 3983, 6208, 1291, 547, 519, 5250, 540, 11690, 338, 267, 711, 1510, 1072, 4539, 269, 3371, 616, 930, 4052, 4388, 543, 2500, 8733, 8925, 585, 2620, 1274, 7738, 585, 2973, 543, 2635, 10772, 2336, 8368, 540, 12937, 454, 1692, 1677, 11162, 2659, 661, 1513, 18897, 5699, 888, 15703, 3435, 666, 581, 2322, 538, 1747, 585, 2620, 7738, 540, 519, 10772, 269, 1411, 666, 10778, 268, 2422, 12853, 344, 1216, 281, 10925, 519, 1216, 538, 707, 1274, 950, 596, 17643, 269, 7490, 2628, 3007, 547, 519, 1216, 2837, 630, 527, 1058, 581, 476, 4391, 9180, 264, 543, 519, 1379, 540, 707, 17643, 15191, 865, 607, 711, 547, 3441, 707, 552, 731, 5300, 269, 4495, 519, 1216, 814, 27071, 2476, 267, 3819, 707, 1274, 676, 530, 31441, 519, 13675, 547, 707, 1274, 12324, 609, 513, 24621, 563, 268, 2422, 513, 7738, 10936, 602, 15920, 519, 1318, 2179, 540, 5277, 883, 519, 1274, 12324, 543, 2337, 519, 1274, 342, 1314, 547, 1780, 563, 268, 2422, 606, 1274, 15777, 281, 713, 3070, 568, 2500, 267, 855, 930, 15416, 1058, 581, 3144, 883, 2272, 952, 596, 946, 621, 1169, 1554, 281, 946, 621, 2476, 689, 707, 1453, 543, 707, 4620, 865, 607, 711, 547, 581, 795, 739, 1194, 1282, 946, 267, 543, 562, 5213, 1406, 979, 1932, 2620, 883, 707, 1274, 12324, 547, 2057, 14124, 707, 2960, 543, 552, 731, 5300, 563, 1692, 1677, 17179, 2423, 654, 1314, 28900, 888, 763, 15090, 568, 547, 581, 1031, 952, 596, 7985, 689, 606, 1274, 342, 1314, 11690, 563, 1692, 1677, 25169, 2659, 661, 1513, 2060, 589, 13428, 888, 2414, 946, 621, 9108, 912, 268, 19130, 707, 15090, 609, 1274, 11547, 5277, 2676, 268, 3002, 519, 5277, 2676, 268, 23453, 519, 7148, 1229, 8405, 540, 519, 15090, 883, 707, 5007, 17391, 12324, 2676, 268, 28528, 543, 7930, 25837, 519, 15090, 2676, 268, 17179, 519, 15941, 1510, 16089, 519, 2604, 543, 28550, 707, 2212, 865, 519, 4430, 679, 9047, 5277, 568, 17355, 18050, 689, 707, 1274, 12324, 563, 27662, 532, 634, 661, 1513, 2060, 25756, 3131, 6448, 454, 22134, 4088, 25681, 568, 2500, 538, 9427, 4430, 1274, 342, 1314, 19221, 563, 2414, 946, 621, 912, 268, 21009, 1922, 650, 513, 4837, 609, 3636, 1216, 2676, 268, 3973, 1039, 7250, 25681, 585, 519, 824, 3368, 563, 268, 32449, 707, 7848, 883, 513, 5323, 3899, 267, 2482, 593, 707, 2427, 2676, 268, 32449, 513, 1906, 12772, 540, 707, 7848, 883, 707, 1274, 543, 7227, 476, 276, 3764, 547, 1577, 621, 960, 563, 268, 12414, 547, 519, 824, 2427, 865, 519, 5277, 666, 8963, 689, 707, 1274, 563, 7661, 267, 27125, 707, 1274, 609, 561, 8123, 342, 1301, 1216, 563, 20332, 2423, 27686, 2060, 29106, 13813, 454, 2252, 596, 723, 513, 24571, 267, 1934, 779, 1776, 1274, 268, 2193, 22135, 3070, 269, 3689, 267, 3636, 930, 14462, 3282, 936, 513, 3443, 540, 14495, 1216, 585, 513, 1906, 7643, 269, 3973, 267, 6338, 513, 1906, 12772, 540, 14462, 3282, 883, 707, 1274, 267, 1577, 519, 5277, 2095, 547, 519, 5377, 540, 707, 1274, 12324, 267, 1287, 11690, 707, 1274, 609, 513, 10412, 3440, 269, 19244, 891, 1482, 3268, 476, 274, 547, 476, 275, 2395, 538, 513, 4737, 269, 1403, 707, 2589, 6414, 267, 621, 568, 1271, 547, 1294, 513, 4387, 563, 1692, 1677, 11162, 2659, 661, 1513, 9453, 589, 29158, 4210, 629, 888, 2252, 596, 616, 3168, 585, 8733, 3435, 547, 2973, 707, 10772, 1510, 513, 10412, 2220, 629, 267, 596, 666, 946, 912, 2304, 1274, 335, 1157, 281, 1360, 2653, 547, 946, 269, 898, 25173, 4430, 1274, 342, 1314, 1510, 519, 1981, 540, 3625, 1137, 269, 898, 666, 581, 1336, 538, 16243, 5374, 610, 4496, 543, 568, 3362, 18233, 563, 302, 1529, 328, 281, 713, 1062, 568, 1500, 540, 3574, 267, 1419, 19348, 269, 4706, 1439, 814, 513, 22883, 3121, 602, 2636, 596, 547, 2445, 1274, 342, 1314, 269, 898, 666, 581, 19345, 609, 12853, 344, 1216, 1063, 1142, 946, 269, 898, 1058, 1287, 581, 2451, 547, 3819, 563, 290, 663, 548, 2423, 27686, 454, 763, 23156, 281, 799, 5849, 519, 1134, 5630, 543, 9882, 540, 519, 10772, 563, 7617, 1587, 547, 2973, 519, 10772, 538, 4642, 3653, 7154, 888, 268, 15316, 8733, 8925, 723, 7902, 593, 519, 2344, 547, 5372, 5068, 10412, 2220, 11274, 563, 268, 645, 16656, 267, 11308, 267, 11003, 762, 267, 543, 476, 1911, 260, 27500, 10412, 2220, 11274, 2709, 606, 4998, 3070, 602, 568, 1434, 585, 519, 1604, 563, 27662, 2659, 661, 1513, 281, 9835, 15948, 779, 3816, 12203, 454, 2026, 596, 723, 2938, 267, 1274, 7738, 666, 581, 2944, 609, 14462, 3282, 269, 1809, 824, 11041, 666, 581, 1031, 952, 596, 723, 513, 2603, 540, 1274, 342, 1314, 269, 901, 3070, 1223, 581, 811, 4052, 543, 666, 581, 2944, 1169, 1554, 281, 7466, 513, 3923, 5021, 568, 513, 1434, 4908, 563, 306, 11548, 1325, 12107, 2107, 11835, 329, 20899, 13813, 454, 2791, 666, 946, 14462, 3282, 543, 6653, 30288, 610, 3675, 329, 20899, 3282, 547, 2973, 707, 10772, 609, 3282, 269, 23206, 256, 7994, 513, 32709, 6954, 267, 5214, 267, 543, 20424, 3282, 269, 634, 3282, 1058, 849, 581, 561, 8123, 342, 1301, 610, 4055, 2837, 267, 855, 711, 3905, 269, 634, 14246, 543, 20188, 2470, 540, 519, 3282, 786, 21352, 543, 21352, 1274, 342, 1314, 563, 2690, 1274, 7738, 609, 3282, 267, 798, 835, 2427, 693, 513, 942, 269, 2060, 513, 5323, 3899, 267, 13248, 513, 1906, 12772, 540, 3675, 329, 20899, 610, 6653, 30288, 3282, 883, 707, 1274, 267, 5329, 707, 2212, 21266, 1540, 547, 519, 2427, 563, 20278, 513, 10412, 3440, 543, 18552, 513, 2370, 693, 519, 13675, 540, 519, 8559, 538, 707, 1274, 267, 2141, 609, 707, 2212, 21266, 1540, 547, 519, 2427, 269, 17389, 593, 707, 2427, 585, 476, 1015, 3764, 267, 1287, 9900, 2786, 523, 707, 2212, 1354, 9427, 519, 10412, 3440, 269, 634, 21352, 539, 14589, 786, 968, 24105, 2223, 543, 782, 596, 723, 547, 798, 568, 3819, 621, 856, 563, 3725, 701, 520, 891, 1482, 3268, 855, 593, 519, 824, 2427, 713, 942, 563, 28606, 27686, 2311, 634, 13673, 307, 454, 2252, 596, 1745, 1022, 19849, 14536, 610, 9636, 267, 1810, 1406, 19292, 547, 1118, 606, 13393, 609, 707, 13673, 307, 547, 4983, 707, 10772, 563, 9827, 3367, 281, 2423, 342, 1314, 623, 29888, 267, 15486, 267, 1656, 3816, 12203, 0, 2252, 621, 568, 707, 1101, 942, 6340, 2296, 522, 519, 6049, 267, 1287, 596, 1522, 1118, 513, 1906, 9073, 267, 543, 602, 568, 5386, 256, 4804, 513, 1007, 1893, 568, 2182 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4256, 2319, 2968, 6793, 982, 2479, 1354, 2439, 3719, 1287, 3357, 519, 6397, 6335, 910, 835, 1554, 267, 1247, 12419, 741, 6653, 13144, 1472, 4884, 267, 789, 8068, 1945, 15265, 281, 6266, 540, 5068, 12109, 13827, 16445, 532, 519, 10754, 269, 4634, 1498, 789, 1705, 1082, 8748, 1919, 267, 789, 1869, 4718, 4055, 585, 6454, 269, 10318, 1441, 547, 3136, 741, 5692, 267, 18581, 543, 32515, 12247, 539, 547, 3247, 1210, 2582, 14025, 15229, 538, 741, 11183, 269, 4014, 789, 7948, 1405, 4194, 519, 3003, 1966, 16074, 267, 789, 4121, 602, 2921, 3268, 4724, 2318, 1689, 2306, 513, 2462, 3017, 780, 4517, 865, 267, 18581, 543, 32515, 9863, 602, 4881, 513, 3811, 1870, 666, 979, 1688, 2987, 11804, 609, 3257, 1434, 23339, 585, 1312, 1004, 543, 519, 4541, 269, 2060, 1142, 1085, 17274, 540, 13786, 1043, 31594, 4210, 20071, 6039, 267, 789, 3262, 4656, 827, 519, 2956, 540, 8156, 12624, 7186, 24963, 1107, 11121, 1866, 547, 6443, 3946, 538, 8497, 519, 5898, 540, 938, 1753, 267, 519, 3047, 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, 22081, 1281, 5484, 1299, 32515, 781, 4225, 9746, 1514, 5539, 538, 922, 4238, 888, 13051, 1299, 32515, 781, 3922, 3278, 9746, 1514, 5539, 538, 1896, 2081, 538, 922, 4238, 269, 1452, 1331, 1384, 272, 269, 590, 25703, 23123, 13786, 4601, 281, 5484, 1299, 32515, 781, 2959, 922, 5820, 689, 5683, 14273, 543, 12876, 339, 8565, 2275, 1068, 1881, 24625, 2510, 269, 1358, 4225, 27126, 689, 1507, 8397, 6705, 543, 11441, 547, 1489, 6694, 1949, 602, 3895, 6940, 543, 9265, 780, 273, 269, 8081, 585, 7991, 15789, 281, 5484, 1299, 32515, 781, 1902, 338, 538, 2146, 3292, 543, 7341, 602, 2232, 1514, 543, 2825, 2152, 269, 901, 2882, 14957, 585, 2916, 5126, 267, 5009, 11806, 266, 2924, 267, 5885, 21345, 543, 28357, 32339, 267, 543, 8165, 585, 7292, 5126, 780, 274, 269, 26805, 2910, 273, 2506, 3827, 281, 5484, 1299, 32515, 781, 568, 8149, 547, 4227, 922, 3327, 11640, 676, 5009, 1648, 4398, 267, 7791, 1648, 267, 543, 3743, 3653, 2359, 780, 275, 269, 12876, 3281, 18730, 585, 31740, 281, 5484, 1299, 32515, 781, 2418, 922, 5520, 606, 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, 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, 4197, 3776, 17583, 547, 7186, 998, 17826, 692, 8702, 267, 1762, 3988, 256, 5620, 596, 2479, 2219, 827, 875, 938, 2729, 616, 4448, 547, 2470, 286, 1215, 798, 649, 1764, 519, 1158, 1472, 721, 267, 543, 875, 1281, 621, 1860, 721, 538, 2132, 286, 1452, 616, 2462, 2055, 602, 1004, 723, 1044, 6998, 2933, 585, 5553, 269, 2290, 1259, 602, 1004, 2263, 891, 2093, 568, 998, 6965, 269, 4653, 267, 649, 786, 1224, 543, 1865, 513, 3532, 6648, 1572, 834, 763, 4414, 4095, 781, 6755, 738, 1493, 16594, 547, 519, 6519, 2494, 257, 2854, 676, 513, 4583, 24752, 10564, 3957, 10067, 332, 3716, 11023, 342, 880, 269, 901, 6648, 2982, 721, 875, 1271, 2470, 568, 585, 782, 2713, 7919, 543, 1018, 666, 4755, 950, 649, 1810, 1405, 2463, 621, 269, 1924, 1577, 781, 4685, 883, 713, 4241, 3460, 1927, 2439, 5575, 267, 1577, 781, 1451, 811, 827, 519, 10564, 267, 10067, 332, 3716, 11023, 342, 880, 269, 1261, 729, 4535, 538, 21157, 538, 476, 3707, 272, 543, 8057, 909, 7680, 2352, 2053, 607, 1082, 13114, 29562, 941, 7142, 547, 4734, 741, 5321, 1813, 547, 2797, 7526, 269, 10801, 1010, 1272, 267, 646, 5206, 1082, 9954, 10452, 593, 3961, 267, 12761, 267, 543, 519, 4276, 1063, 3425, 543, 2470, 269, 3571, 960, 814, 6273, 1004, 782, 936, 519, 1158, 1317, 540, 922, 2178, 6835, 543, 4190, 1893, 780, 3086, 267, 1577, 781, 2911, 827, 519, 2140, 540, 938, 12286, 6648, 1107, 834, 763, 4414, 4095, 781, 6755, 738, 1493, 16594, 547, 519, 6519, 2494, 2668, 589, 1412, 5155, 738, 1493, 262, 4633, 1797, 519, 2034, 547, 2063, 835, 1354, 1945, 1713, 4523, 269, 769, 713, 2013, 267, 621, 4016, 547, 513, 3803, 5048, 2016, 676, 2576, 945, 4564, 7087, 2950, 9497, 1492, 2699, 4095, 8442, 547, 1346, 945, 3357, 2663, 543, 3576, 1852, 540, 741, 2244, 9497, 1492, 3043, 812, 20257, 898, 781, 1271, 547, 4063, 1934, 602, 15023, 1419, 946, 23199, 543, 6698, 3079, 540, 1463, 1913, 269, 1635, 1210, 1412, 16446, 4095, 3299, 11023, 342, 880, 6499, 547, 11168, 519, 1455, 9620, 5185, 676, 7087, 9082, 5001, 267, 2864, 982, 4481, 13288, 547, 1022, 1880, 1895, 780, 3383, 267, 1018, 1281, 713, 6648, 4001, 721, 827, 2470, 543, 938, 1909, 1369, 621, 286, 2913, 781, 2263, 930, 1883, 4798, 1927, 1384, 272, 269, 3955, 323, 11163, 609, 2470, 281, 3807, 899, 3425, 991, 1426, 267, 1216, 267, 543, 2011, 547, 7639, 267, 865, 798, 824, 7068, 543, 2371, 269, 1879, 649, 1491, 1416, 540, 2470, 267, 621, 3217, 1416, 540, 721, 1932, 269, 1809, 952, 649, 5134, 805, 621, 267, 972, 786, 581, 4539, 585, 3025, 3238, 269, 5994, 952, 596, 11074, 2921, 856, 707, 17885, 910, 4166, 2614, 267, 707, 4055, 1131, 1831, 796, 331, 22133, 256, 2334, 781, 2147, 547, 1018, 666, 4755, 950, 649, 21568, 2470, 563, 273, 269, 8177, 540, 19525, 593, 2470, 543, 2950, 281, 19759, 569, 267, 2429, 1686, 267, 1082, 7239, 723, 3144, 936, 3338, 10362, 547, 1866, 267, 3056, 547, 7092, 543, 2825, 3441, 269, 769, 713, 6648, 267, 11023, 342, 880, 10404, 3278, 519, 3527, 540, 1346, 945, 6861, 2470, 1247, 23304, 8973, 519, 2924, 543, 8171, 540, 5065, 11317, 269, 1284, 666, 1451, 689, 713, 543, 2119, 547, 5660, 1114, 4529, 543, 2149, 3838, 5054, 563, 274, 269, 27264, 540, 2470, 585, 2104, 5481, 281, 11023, 342, 880, 19595, 721, 602, 1169, 2962, 5540, 711, 1152, 6000, 855, 849, 1346, 945, 2097, 1310, 721, 269, 1403, 649, 1616, 938, 1453, 543, 6264, 18244, 547, 2972, 2973, 2011, 267, 2312, 7297, 267, 543, 14762, 7733, 267, 1287, 649, 1590, 957, 19100, 2509, 2470, 2221, 269, 6056, 827, 2081, 596, 666, 3565, 9797, 547, 8190, 2470, 585, 2104, 5481, 2439, 2026, 649, 16833, 909, 938, 3408, 540, 713, 7415, 6648, 267, 3314, 602, 1620, 938, 4276, 547, 2470, 2337, 1711, 1732, 3347, 711, 1175, 609, 519, 1604, 267, 855, 849, 1851, 1004, 689, 3309, 10080, 269, 5664, 1153, 568, 606, 5140, 2085, 547, 1376, 1565, 827, 891, 1950, 2152, 543, 4466, 3860, 2081, 547, 2769, 873, 269, 5901, 2542, 267, 3695, 267, 543, 7234, 256, 5808, 6487, 1018, 4030, 24098, 596, 2059, 519, 2619, 540, 12423, 8103, 781, 6125, 609, 2470, 286, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21893, 2376, 7710, 519, 3095, 519, 24752, 10564, 10067, 332, 3716, 11023, 342, 880, 630, 3707, 272, 1700, 1220, 279, 264, 20964, 1063, 2470, 543, 6805, 2950, 538, 1010, 6648, 968, 763, 4414, 4095, 779, 6755, 738, 1493, 16594, 547, 519, 6519, 2494, 892, 630, 1960, 273, 1040, 27837, 676, 7111, 1977, 5711, 5389, 543, 12751, 22208, 779, 4633, 267, 713, 6648, 8711, 519, 954, 28947, 1063, 519, 8733, 543, 3084, 6560, 540, 519, 32519, 1004, 1996, 3936, 2401, 12258, 11102, 32012, 885, 269, 11023, 342, 880, 538, 713, 6648, 15244, 513, 1686, 540, 3936, 2401, 12258, 11102, 14226, 540, 2067, 2200, 543, 9552, 540, 519, 6805, 2950, 269, 1306, 971, 267, 519, 10564, 8843, 519, 1292, 3235, 665, 15560, 4661, 602, 519, 11091, 540, 2470, 568, 1898, 585, 519, 6940, 540, 519, 6805, 2950, 563, 1103, 2241, 2474, 267, 3235, 665, 761, 6291, 568, 519, 1353, 540, 519, 2078, 1063, 3332, 543, 519, 2168, 1604, 282, 621, 968, 339, 1389, 606, 3618, 7266, 1042, 1935, 547, 5339, 2090, 1848, 476, 272, 634, 2165, 3235, 665, 761, 6291, 7902, 585, 519, 1101, 942, 538, 5261, 681, 826, 1188, 1068, 779, 1557, 11331, 968, 24145, 1155, 543, 8278, 860, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 1546, 3712, 517, 1944, 30543, 910, 10435, 519, 2622, 2859, 12876, 543, 32213, 692, 7072, 912, 5970, 596, 2479, 2219, 827, 875, 3664, 616, 1500, 538, 707, 1153, 610, 2146, 286, 5808, 4991, 547, 6430, 1018, 3652, 547, 1246, 610, 1018, 2238, 547, 798, 286, 6884, 267, 891, 3664, 616, 1500, 676, 1004, 945, 723, 811, 1379, 610, 3310, 982, 1866, 269, 901, 666, 1291, 547, 15490, 1145, 543, 8635, 269, 1809, 1018, 952, 649, 1223, 1689, 713, 543, 1711, 5238, 602, 5963, 2099, 3025, 286, 2334, 779, 1141, 28160, 1436, 2501, 538, 2439, 4089, 476, 272, 281, 4197, 20616, 1143, 543, 4706, 8177, 454, 8624, 11102, 1143, 568, 950, 3532, 2477, 1491, 1852, 936, 1447, 3532, 3283, 267, 1419, 998, 3196, 610, 12879, 269, 1280, 5553, 267, 1082, 2694, 540, 519, 1158, 941, 32519, 676, 3864, 7060, 899, 6628, 267, 5333, 267, 8050, 267, 543, 17577, 269, 1358, 3576, 2200, 267, 2244, 267, 543, 1256, 20665, 1004, 689, 891, 4025, 269, 4014, 1034, 2477, 6591, 741, 7115, 1310, 2622, 2782, 4083, 267, 19525, 1869, 5540, 721, 2221, 269, 3509, 5238, 267, 899, 6608, 267, 3506, 267, 543, 4213, 267, 941, 2813, 1282, 7810, 2053, 543, 3136, 547, 2992, 519, 2418, 543, 4690, 540, 1346, 538, 1379, 780, 4131, 779, 1589, 827, 938, 1153, 585, 1383, 269, 1215, 1281, 621, 1521, 782, 1053, 8449, 286, 6496, 1169, 2875, 1205, 3160, 3255, 547, 7119, 538, 3375, 1818, 610, 3063, 268, 22793, 2238, 286, 2107, 616, 1978, 2516, 23163, 1759, 593, 2188, 899, 8560, 267, 5763, 267, 610, 2702, 286, 1403, 865, 267, 602, 1522, 581, 1317, 540, 29886, 2360, 540, 19525, 780, 4089, 476, 273, 281, 1548, 1772, 1546, 3712, 517, 1436, 888, 13356, 20325, 1436, 1797, 4101, 543, 4657, 1949, 540, 1379, 602, 941, 3964, 1282, 7810, 2053, 269, 898, 3322, 15819, 10054, 267, 6947, 547, 12790, 9739, 267, 543, 2324, 2509, 7862, 543, 5126, 585, 782, 269, 1879, 4294, 547, 5238, 267, 28160, 1436, 11394, 547, 24905, 548, 2025, 3889, 543, 1628, 1007, 3283, 602, 1732, 4196, 3025, 780, 5331, 952, 938, 1153, 4956, 547, 28160, 1125, 3294, 269, 9320, 789, 1131, 6432, 811, 5702, 547, 26173, 1053, 267, 1683, 3606, 1489, 585, 10010, 6267, 267, 610, 2327, 3309, 5380, 616, 3769, 538, 6437, 4058, 269, 1635, 3257, 865, 267, 938, 1153, 1131, 1831, 513, 3655, 790, 337, 543, 811, 8537, 1747, 585, 3025, 780, 4089, 476, 274, 281, 7464, 5020, 6201, 540, 1546, 3712, 517, 1944, 30543, 454, 2467, 616, 9118, 2081, 547, 28160, 1125, 5238, 269, 2913, 779, 2263, 1079, 1483, 1272, 1806, 1384, 265, 6167, 16672, 593, 519, 7126, 540, 7087, 24447, 630, 26685, 6020, 303, 2567, 22685, 1540, 538, 476, 1220, 278, 267, 6167, 291, 6020, 303, 14592, 1367, 543, 7104, 2924, 540, 6805, 9082, 1472, 519, 1158, 269, 1452, 2924, 1331, 1582, 24148, 267, 2686, 11091, 267, 543, 1863, 267, 1991, 267, 543, 5483, 9844, 3823, 3785, 7133, 741, 3338, 610, 11182, 269, 26243, 267, 6167, 291, 6020, 303, 6663, 547, 7668, 6805, 2950, 543, 2149, 873, 1996, 2417, 14226, 563, 265, 7991, 8092, 11565, 338, 630, 12710, 25629, 2567, 14160, 25629, 616, 3906, 602, 948, 2950, 2744, 9562, 543, 1852, 936, 2199, 2244, 543, 8027, 269, 3414, 11180, 10350, 267, 14160, 25629, 8190, 26622, 267, 3895, 4264, 1646, 267, 543, 2061, 8425, 30826, 269, 1306, 513, 1267, 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 ]
[ 1477, 24541, 825, 952, 678, 272, 2652, 6936, 543, 678, 273, 2652, 6936, 543, 678, 274, 2652, 6936, 6769, 1038, 2132, 6936, 24653, 3698, 2638, 22674, 4379, 8548, 738, 2118, 14116, 877, 6958, 1752, 8029, 825, 5727, 1477, 1038, 4258, 4242, 952, 513, 6241, 814, 744, 543, 2473, 1477, 825, 5727, 1477, 825, 6241, 318, 272, 815, 1496, 18524, 6958, 1752, 314, 271, 6012, 271, 3910, 3014, 6958, 1752, 314, 272, 6012, 271, 3910, 3014, 6958, 1752, 314, 273, 6012, 271, 14963, 1477, 825, 6241, 318, 273, 815, 1496, 18524, 6958, 1752, 314, 271, 6012, 272, 3910, 3014, 6958, 1752, 314, 272, 6012, 272, 3910, 3014, 6958, 1752, 314, 273, 6012, 272, 14963, 1477, 825, 6241, 318, 274, 815, 1496, 18524, 6958, 1752, 314, 271, 6012, 273, 3910, 3014, 6958, 1752, 314, 272, 6012, 273, 3910, 3014, 6958, 1752, 314, 273, 6012, 273, 14963, 5897, 825, 524, 272, 815, 8771, 1477, 825, 524, 273, 815, 8771, 1477, 825, 524, 274, 815, 8771, 672, 24653, 825, 952, 6241, 318, 272, 29644, 2891, 302, 8442, 13843, 476, 272, 543, 6241, 318, 272, 29644, 2891, 311, 8442, 13843, 476, 272, 6769, 1038, 524, 272, 815, 6936, 1477, 825, 952, 6241, 318, 273, 29644, 2891, 302, 8442, 13843, 476, 272, 543, 6241, 318, 273, 29644, 2891, 311, 8442, 13843, 476, 272, 6769, 1038, 524, 273, 815, 6936, 1477, 825, 952, 6241, 318, 274, 29644, 2891, 302, 8442, 13843, 476, 272, 543, 6241, 318, 274, 29644, 2891, 311, 8442, 13843, 476, 272, 6769, 1038, 524, 274, 815, 6936, 1477, 24541, 825, 952, 524, 272, 2652, 6936, 543, 524, 273, 2652, 6936, 543, 524, 274, 2652, 6936, 6769, 1038, 2132, 6936, 1477, 825, 3116, 6769, 1038, 2132, 8771, 1477, 24541, 24541, 3698, 2638, 5091, 328, 21192, 8548, 738, 2118, 14116, 877, 6958, 1752, 8029, 825, 5727, 1477, 1038, 4258, 4242, 952, 1022, 15497, 814, 744, 543, 2473, 1477, 825, 5727, 1477, 825, 15497, 318, 272, 815, 1496, 18524, 6958, 1752, 314, 271, 6012, 271, 3910, 3014, 6958, 1752, 314, 272, 6012, 272, 3910, 3014, 6958, 1752, 314, 273, 6012, 273, 14963, 1477, 825, 15497, 318, 273, 815, 1496, 18524, 6958, 1752, 314, 273, 6012, 271, 3910, 3014, 6958, 1752, 314, 272, 6012, 272, 3910, 3014, 6958, 1752, 314, 271, 6012, 273, 14963, 1477, 24541, 825, 546, 272, 815, 8771, 1477, 825, 546, 273, 815, 8771, 1477, 24541, 825, 952, 15497, 318, 272, 29644, 2891, 302, 8442, 13843, 476, 272, 543, 15497, 318, 272, 29644, 2891, 311, 8442, 13843, 476, 272, 6769, 1038, 546, 272, 815, 6936, 1477, 825, 952, 15497, 318, 273, 29644, 2891, 302, 8442, 13843, 476, 272, 543, 15497, 318, 273, 29644, 2891, 311, 8442, 13843, 476, 272, 6769, 1038, 546, 273, 815, 6936, 1477, 24541, 825, 952, 546, 272, 2652, 6936, 543, 546, 273, 2652, 6936, 6769, 1038, 2132, 6936, 1477, 825, 3116, 6769, 1038, 2132, 8771, 672, 24653, 3698, 2638, 6958, 1752, 318, 21459, 14116, 877, 6958, 1752, 8029, 825, 1775, 815, 476, 271, 1477, 825, 585, 4737, 538, 3014, 6958, 1752, 6769, 1038, 952, 4737, 29644, 2891, 8442, 2652, 476, 271, 6769, 2018, 1775, 6834, 476, 272, 1477, 825, 952, 1775, 2652, 476, 274, 6769, 1038, 2132, 6936, 24653, 3698, 2638, 318, 604, 318, 2254, 14682, 877, 263, 4900, 8548, 738, 328, 267, 9587, 8548, 738, 328, 267, 32377, 8548, 738, 328, 267, 3014, 6958, 1752, 8029, 825, 5727, 1477, 1038, 4258, 4242, 952, 519, 3014, 666, 581, 8737, 6769, 2018, 7024, 6936, 952, 519, 3014, 3112, 581, 8737, 1477, 825, 5727, 1477, 825, 952, 9343, 8548, 738, 328, 2652, 6936, 543, 9587, 8548, 738, 328, 2652, 6936, 543, 32377, 8548, 738, 328, 2652, 6936, 6769, 1038, 2132, 6936, 24541, 825, 952, 2638, 6958, 1752, 318, 21459, 14116, 877, 6958, 1752, 8029, 1038, 2132, 6936, 24653, 3698, 547, 17750, 14116, 877, 6958, 1752, 267, 3403, 19056, 8029, 825, 5727, 1477, 1038, 3371, 649, 5581, 519, 3403, 4737, 543, 6241, 267, 543, 2638, 952, 519, 3014, 814, 1044, 4465, 1477, 825, 5727, 1477, 825, 1247, 6936, 6769, 1038, 4737, 26000, 937, 815, 2824, 32284, 9272, 19056, 3418, 1038, 6241, 26000, 937, 815, 2824, 22674, 4379, 9272, 19056, 3418, 1363, 1477, 1038, 1141, 15461, 17750, 815, 3014, 6958, 1752, 314, 992, 26000, 937, 6012, 26383, 26000, 937, 15947, 1363, 1477, 1038, 952, 1141, 15461, 17750, 2652, 834, 257, 6769, 2018, 3014, 6958, 1752, 314, 992, 26000, 937, 6012, 26383, 26000, 937, 316, 815, 3403, 19056, 1477, 2018, 2736, 1477, 1038, 3116, 6769, 2018, 1820, 2891, 8923, 2824, 606, 1776, 2022, 819, 267, 713, 835, 568, 3144, 14744, 2018, 3136, 1477, 672, 5897, 825, 952, 2638, 318, 604, 318, 7773, 14116, 877, 6958, 1752, 267, 4737, 26000, 937, 267, 6241, 26000, 937, 267, 3403, 19056, 264, 2652, 6936, 6769, 1038, 1820, 14682, 877, 6958, 1752, 14116, 877, 6958, 1752, 3418, 1038, 2132, 6936, 24653, 825, 2638, 32284, 815, 2638, 32284, 8548, 738, 2118, 14116, 877, 6958, 1752, 3418, 825, 2638, 22674, 4379, 815, 2638, 22674, 4379, 8548, 738, 2118, 14116, 877, 6958, 1752, 3418, 825, 2638, 5091, 328, 21192, 815, 2638, 5091, 328, 21192, 8548, 738, 2118, 14116, 877, 6958, 1752, 3418, 825, 2638, 318, 2254, 14682, 877, 815, 2638, 318, 604, 318, 2254, 14682, 877, 263, 13765, 32284, 267, 2638, 22674, 4379, 267, 2638, 5091, 328, 21192, 267, 3014, 6958, 1752, 3418, 24541, 825, 952, 2638, 318, 2254, 14682, 877, 2652, 6936, 6769, 1038, 1820, 14682, 877, 6958, 1752, 14116, 877, 6958, 1752, 3418, 1038, 2132, 834, 9526, 257, 5897, 24541, 825, 2132, 3014, 6958, 1752, 1477, 672, 0, 258, 272, 1477, 16443, 5974, 815, 22373, 24523, 476, 272, 2580, 1477, 17264, 834, 24523, 476, 273, 2580, 1477, 17264, 834, 24523, 476, 274, 19312, 24653, 258, 273, 1477, 331, 6327, 288, 815, 630, 272, 267, 272, 3418, 331, 6327, 289, 815, 630, 273, 267, 273, 3418, 331, 6327, 290, 815, 630, 274, 267, 274, 10142, 332, 2643, 23148, 815, 1496, 331, 6327, 288, 267, 1477, 3546, 4087, 289, 267, 1477, 3546, 4087, 290, 316, 24653, 258, 274, 1477, 3430, 1026, 2373, 815, 2715, 257, 19417, 257, 6769, 23526, 834, 277, 262, 272, 5257, 2580, 1477, 23526, 834, 325, 2948, 924, 2681, 257, 6769, 23526, 834, 19990, 2580, 1477, 23526, 834, 325, 2948, 924, 2278, 257, 6769, 23526, 834, 28846, 28726, 257, 348, 24653, 258, 275, 1477, 333, 815, 3403, 2891, 11767, 4463, 267, 5172, 2681, 267, 610, 5172, 2278, 281, 834, 10142, 604, 562, 538, 10305, 6769, 825, 1140, 337, 815, 10305, 19559, 15947, 825, 1820, 263, 3430, 337, 3418, 12828, 6769, 825, 1820, 2891, 8253, 1336, 538, 10305, 1701, 10142, 258, 276, 1477, 338, 784, 272, 815, 22373, 288, 272, 2580, 834, 289, 272, 2580, 834, 290, 272, 257, 15947, 338, 784, 273, 815, 22373, 288, 273, 2580, 834, 289, 273, 2580, 834, 290, 273, 257, 15947, 338, 784, 274, 815, 22373, 288, 274, 2580, 834, 289, 274, 2580, 834, 290, 274, 19312, 5897, 16443, 5974, 29330, 815, 2715, 16443, 5974, 314, 271, 316, 6769, 4449, 567, 5152, 272, 267, 1477, 4449, 567, 12372, 314, 272, 316, 6769, 4449, 567, 5152, 273, 267, 1477, 4449, 567, 12372, 314, 273, 316, 6769, 4449, 567, 5152, 274, 348, 24653, 258, 277, 1477, 18851, 1477, 10345, 4811, 5897, 4149, 1115, 616, 1031, 547, 4558, 2789, 3688, 538, 513, 2582, 4756, 1477, 4149, 1115, 616, 1799, 17014, 543, 796, 23912, 1477, 4149, 1115, 3112, 581, 15600, 676, 4994, 267, 7429, 8638, 543, 8913, 1255, 5897, 268, 2691, 1058, 596, 946, 513, 1305, 286, 1477, 825, 910, 2414, 4894, 26134, 2418, 689, 513, 4015, 1477, 825, 910, 306, 1115, 616, 3810, 20979, 585, 10992, 2436, 513, 1477, 672, 513, 1808, 3693, 568, 8659, 538, 513, 1305, 24653, 10059, 2517, 4178, 9884, 274, 25217, 338, 2593, 270, 7090, 270, 7090, 5334, 1115, 269, 5684, 5897, 10059, 2517, 4178, 269, 613, 4060, 1721, 613, 4060, 3820, 4882, 1115, 2987, 1790, 3155, 270, 1477, 18851, 5897, 0, 258, 272, 1477, 5320, 815, 834, 23173, 639, 29177, 2745, 27182, 314, 271, 29573, 2745, 27182, 314, 272, 29573, 2745, 27182, 314, 273, 29573, 2745, 27182, 314, 274, 29573, 2745, 27182, 314, 275, 29573, 5897, 258, 273, 1477, 24978, 821, 815, 3403, 2891, 11767, 1945, 602, 596, 5206, 281, 834, 3418, 22529, 564, 6851, 815, 3403, 2891, 11767, 1141, 596, 2366, 621, 281, 834, 10142, 8063, 618, 815, 834, 312, 16518, 594, 5206, 513, 15079, 269, 594, 2366, 621, 547, 15079, 256, 2668, 8971, 263, 24978, 821, 267, 22529, 564, 6851, 10142, 2745, 263, 8063, 618, 3418, 5897, 258, 274, 1477, 338, 27542, 815, 834, 12245, 748, 670, 5060, 2917, 729, 4535, 538, 476, 6245, 275, 1701, 1477, 322, 2355, 550, 815, 4845, 269, 5115, 1388, 1125, 14052, 2745, 6262, 2355, 550, 3418, 5897, 258, 275, 1477, 26810, 815, 834, 8489, 1631, 286, 5808, 1631, 286, 1879, 1631, 8119, 1477, 20889, 336, 815, 1391, 21858, 2891, 8119, 3418, 20889, 336, 21014, 14052, 20889, 336, 314, 272, 316, 815, 8237, 336, 314, 272, 4940, 29328, 14052, 20889, 336, 314, 273, 316, 815, 8237, 336, 314, 273, 4940, 29328, 14052, 2745, 4433, 5902, 336, 3418, 5897, 258, 276, 1477, 338, 550, 4289, 815, 22373, 763, 2580, 1477, 17264, 834, 325, 2135, 2580, 1477, 17264, 834, 329, 22981, 2580, 1477, 17264, 834, 1478, 2580, 1477, 17264, 834, 1492, 2580, 1477, 17264, 834, 325, 775, 29177, 17264, 834, 1701, 316, 5897, 18080, 550, 815, 834, 834, 269, 21860, 4433, 550, 4289, 3418, 18080, 550, 815, 3377, 550, 11468, 268, 272, 316, 1341, 834, 1701, 1477, 2745, 263, 18080, 550, 3418, 5897, 258, 277, 1477, 1087, 550, 815, 834, 288, 3458, 5446, 2501, 2066, 519, 6607, 1701, 1477, 2908, 1087, 550, 815, 521, 338, 550, 18622, 2897, 2891, 338, 2580, 834, 259, 14744, 2745, 28956, 1087, 550, 3418, 5897, 258, 278, 1477, 14140, 332, 815, 834, 295, 25977, 3118, 2668, 8161, 2891, 332, 14744, 2745, 6600, 1009, 332, 3418, 5897, 258, 279, 1477, 638, 1774, 272, 815, 27719, 257, 7804, 1074, 909, 12101, 257, 1767, 16110, 267, 1422, 257, 2791, 4312, 3893, 1614, 533, 6493, 547, 1205, 998, 26142, 3269, 1477, 638, 1774, 273, 815, 27719, 257, 296, 29709, 12101, 257, 31143, 773, 1767, 28663, 269, 1422, 257, 296, 6836, 711, 547, 7340, 269, 12968, 652, 547, 2696, 594, 1705, 267, 6723, 26142, 3269, 1477, 638, 1774, 274, 815, 27719, 257, 8133, 12101, 257, 594, 1767, 267, 1422, 257, 296, 723, 513, 2601, 12101, 257, 543, 3773, 1360, 28663, 267, 1422, 257, 7069, 2696, 26142, 3269, 5897, 2745, 263, 638, 1774, 272, 3418, 2745, 263, 638, 1774, 273, 3418, 2745, 263, 638, 1774, 274, 3418, 5897, 258, 280, 1477, 22764, 5320, 815, 834, 22764, 29177, 935, 13906, 5417, 815, 1614, 5320, 1341, 1614, 5320, 1341, 1614, 5320, 1477, 935, 13906, 20123, 328, 815, 1614, 5320, 2608, 476, 274, 5897, 2745, 263, 935, 13906, 5417, 3418, 2745, 263, 935, 13906, 20123, 328, 3418, 5897, 258, 1015, 1477, 14075, 338, 550, 815, 834, 2005, 729, 513, 6505, 4411, 1554, 538, 4989, 267, 543, 519, 23234, 941, 11495, 24369, 1701, 1477, 338, 997, 525, 550, 815, 1279, 338, 550, 11468, 3451, 15947, 2745, 4433, 997, 525, 550, 3418, 0, 454, 3698, 27353, 3287, 2187, 28768, 453, 320, 815, 476, 272, 454, 28768, 22610, 1775, 538, 2039, 263, 272, 21726, 2187, 453, 453, 320, 815, 513, 2608, 630, 328, 266, 272, 2020, 16596, 513, 692, 3698, 1249, 273, 3287, 2187, 14851, 1535, 2999, 476, 272, 912, 453, 16596, 476, 271, 454, 14851, 1535, 2652, 476, 272, 912, 453, 16596, 476, 272, 454, 16596, 1535, 265, 2399, 273, 3287, 268, 272, 9239, 2745, 263, 2399, 3645, 263, 275, 11723, 2745, 263, 2399, 273, 263, 275, 4917, 0, 258, 28605, 17683, 281, 30016, 268, 279, 20609, 8894, 5814, 8142, 532, 454, 5814, 942, 7531, 11907, 815, 476, 271, 454, 6674, 815, 8142, 532, 11482, 1442, 30800, 3698, 30775, 9217, 2187, 825, 2518, 1239, 454, 825, 8142, 532, 269, 9690, 1320, 1348, 14061, 3553, 11243, 2891, 339, 257, 266, 1598, 9217, 4917, 825, 1820, 1412, 260, 338, 10536, 9376, 1862, 262, 4939, 8142, 532, 269, 9690, 1320, 1348, 14061, 1326, 11243, 10797, 825, 952, 9376, 28482, 638, 790, 10031, 1038, 1820, 1412, 260, 338, 1205, 519, 9376, 1862, 262, 4939, 8142, 532, 269, 9690, 1320, 1348, 14061, 1326, 11243, 4590, 1038, 1239, 6834, 476, 272, 454, 1038, 1820, 1239, 454, 1038, 942, 4732, 2748, 263, 273, 994, 1038, 1820, 1412, 260, 338, 5305 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1432, 568, 513, 4578, 10029, 286, 769, 1931, 547, 3210, 713, 1966, 621, 568, 2556, 585, 782, 540, 721, 547, 5693, 5581, 543, 12172, 1018, 27084, 5004, 2731, 568, 269, 1879, 649, 17551, 4578, 6513, 568, 827, 9013, 1344, 267, 26063, 649, 616, 538, 9759, 6031, 602, 519, 1184, 540, 9013, 519, 1344, 540, 1022, 1880, 1870, 610, 5310, 11769, 269, 22549, 1946, 1082, 3549, 723, 6190, 5520, 568, 789, 723, 547, 1184, 513, 2603, 540, 1239, 4948, 269, 1358, 666, 711, 1175, 2308, 519, 3028, 540, 24455, 1175, 585, 519, 2816, 5631, 1317, 711, 782, 540, 873, 949, 581, 2635, 547, 798, 519, 2990, 1318, 269, 901, 568, 1946, 519, 2754, 814, 547, 1832, 513, 2594, 4947, 689, 782, 741, 5234, 2818, 2523, 1346, 602, 6023, 543, 960, 609, 3730, 1239, 563, 10574, 8111, 9679, 568, 1360, 1271, 1317, 621, 568, 835, 540, 519, 1292, 4238, 602, 1489, 4213, 6430, 593, 1870, 3664, 269, 2334, 2636, 519, 1870, 13055, 547, 5650, 1114, 2010, 540, 1239, 538, 513, 6896, 543, 6896, 1505, 269, 1703, 616, 476, 275, 1292, 2127, 540, 1239, 1852, 602, 1331, 12650, 675, 1239, 267, 1239, 26349, 267, 1239, 10727, 267, 543, 1870, 3375, 1818, 269, 1452, 2185, 1713, 2694, 2816, 1688, 538, 1688, 585, 1818, 4213, 3811, 563, 288, 1870, 685, 1967, 2356, 5673, 593, 1175, 875, 1134, 519, 9623, 5004, 568, 5340, 543, 875, 3532, 519, 4578, 5004, 1184, 666, 581, 269, 1403, 972, 568, 513, 3810, 2500, 1239, 5883, 1184, 267, 1287, 1034, 540, 519, 1870, 2553, 1131, 581, 2111, 547, 4383, 12347, 543, 3927, 543, 1439, 3755, 1223, 1205, 741, 4170, 1558, 269, 769, 519, 2680, 519, 1184, 14543, 267, 1287, 621, 2164, 547, 17140, 543, 4057, 10342, 689, 1439, 3755, 563, 2005, 568, 2629, 547, 723, 1239, 2298, 1852, 3800, 1305, 909, 1991, 547, 519, 6388, 585, 519, 1239, 2359, 269, 1703, 1058, 581, 7928, 4152, 543, 4570, 725, 6192, 2327, 602, 1870, 3664, 616, 2813, 3927, 269, 1452, 4255, 666, 2638, 952, 519, 1870, 10551, 5773, 616, 2469, 12347, 543, 1870, 1870, 616, 2500, 543, 19311, 269, 9406, 1631, 972, 1058, 849, 2141, 581, 11974, 543, 21356, 1711, 865, 602, 5561, 616, 711, 11874, 4299, 676, 519, 2164, 5036, 789, 616, 8391, 269, 2991, 1239, 2298, 11974, 616, 5645, 856, 267, 519, 3919, 666, 979, 593, 609, 519, 6388, 563, 19968, 525, 1058, 2322, 883, 2962, 1239, 4238, 2645, 602, 2731, 948, 873, 5352, 3728, 543, 5347, 1870, 3664, 269, 634, 3375, 6194, 5650, 3112, 581, 6192, 3533, 538, 519, 2680, 519, 1870, 10551, 5773, 616, 711, 1256, 269, 24371, 1058, 946, 1239, 2359, 2645, 543, 1949, 547, 948, 873, 3132, 3728, 543, 5347, 3919, 3664, 269, 634, 3375, 6194, 1505, 2882, 2079, 267, 9781, 267, 1382, 543, 2679, 267, 4058, 543, 1344, 11018, 269, 1452, 616, 519, 1292, 3344, 540, 519, 2164, 2359, 5650, 563, 14813, 334, 26349, 543, 1239, 519, 6165, 616, 849, 6712, 540, 519, 1239, 5883, 1505, 269, 27686, 9623, 18788, 13311, 1239, 3334, 543, 26779, 1239, 609, 824, 1239, 2200, 883, 835, 23887, 1239, 3964, 269, 4578, 26349, 2882, 632, 268, 706, 6473, 267, 1239, 2973, 572, 267, 9427, 9838, 5638, 267, 5355, 5638, 609, 6959, 267, 17568, 267, 543, 556, 5991, 5436, 1436, 269, 4578, 5610, 16621, 1239, 26349, 267, 2870, 9623, 2959, 267, 4657, 543, 4570, 908, 1239, 3681, 267, 2870, 4195, 1239, 3681, 267, 26399, 1239, 5036, 543, 2870, 4195, 8940, 269, 9404, 984, 8270, 732, 13062, 4593, 574, 13860, 269, 527, 9623, 5036, 269, 0, 5278, 949, 581, 5432, 609, 519, 3017, 1063, 513, 11290, 543, 606, 26966, 626, 267, 855, 1082, 616, 711, 269, 1323, 26966, 626, 568, 513, 11290, 945, 4682, 593, 547, 1205, 3606, 2866, 538, 519, 3350, 540, 4522, 543, 519, 12972, 540, 519, 28287, 563, 291, 550, 626, 26966, 626, 1107, 15482, 1072, 26966, 923, 454, 2691, 1004, 2043, 616, 6236, 513, 11290, 26966, 626, 610, 3345, 24543, 11290, 585, 25329, 267, 4555, 602, 1419, 2097, 547, 2247, 616, 2055, 827, 5711, 1072, 267, 2010, 540, 2126, 1519, 19388, 783, 25329, 267, 26966, 545, 5574, 267, 1018, 596, 991, 547, 917, 827, 513, 5959, 20614, 267, 543, 540, 1576, 1018, 2186, 540, 5959, 960, 543, 11285, 786, 581, 1655, 585, 596, 888, 763, 1434, 3377, 568, 602, 972, 616, 1360, 1114, 2010, 540, 26966, 545, 960, 2139, 543, 1082, 1114, 2010, 540, 12665, 269, 1635, 6158, 609, 707, 26966, 545, 5604, 267, 596, 3580, 581, 2111, 547, 4137, 856, 1018, 1826, 540, 11285, 596, 991, 2059, 609, 1018, 1826, 540, 960, 596, 1131, 899, 2944, 269, 6969, 649, 1205, 883, 1346, 2055, 1498, 267, 1577, 779, 2638, 538, 609, 930, 4966, 540, 26966, 545, 4915, 543, 1294, 1018, 789, 723, 547, 2161, 593, 519, 1888, 563, 2467, 616, 2789, 2188, 602, 666, 3310, 1761, 2550, 945, 616, 14045, 1063, 7446, 606, 26966, 626, 610, 2489, 11290, 585, 741, 5711, 1416, 630, 302, 28952, 808, 290, 1696, 620, 1421, 1708, 271, 1916, 10932, 7028, 602, 835, 540, 519, 2101, 9228, 5383, 540, 26966, 545, 2126, 568, 519, 2298, 540, 2126, 630, 302, 28952, 808, 290, 1696, 620, 1421, 1708, 271, 1916, 12234, 267, 3237, 4043, 547, 2824, 606, 26966, 626, 585, 741, 1126, 779, 26966, 545, 2126, 2864, 982, 513, 11290, 610, 1776, 1505, 540, 2126, 630, 302, 28952, 808, 290, 1696, 620, 269, 1708, 271, 1040, 2368, 24782, 616, 8036, 547, 2709, 769, 6665, 7955, 267, 855, 789, 3112, 2709, 1022, 824, 26966, 545, 5574, 563, 1432, 568, 519, 1655, 2186, 540, 5959, 11677, 518, 547, 946, 286, 19239, 626, 543, 26966, 626, 2282, 803, 454, 14303, 664, 619, 267, 607, 519, 2012, 5267, 267, 616, 2966, 547, 11677, 707, 4522, 538, 1747, 1310, 707, 25329, 616, 6569, 269, 4825, 664, 619, 616, 606, 1271, 1246, 6823, 2126, 547, 707, 26966, 545, 25329, 607, 789, 786, 2965, 1118, 2386, 707, 4522, 798, 711, 6521, 856, 540, 1747, 269, 1879, 4522, 723, 25329, 7923, 547, 873, 610, 2312, 25329, 616, 538, 1747, 267, 789, 616, 14593, 543, 15504, 856, 540, 519, 3312, 7158, 543, 883, 1007, 7158, 269, 901, 666, 3006, 1118, 873, 1745, 513, 2370, 3787, 10690, 538, 519, 5023, 607, 789, 616, 711, 607, 16119, 1305, 1247, 789, 616, 13346, 563, 5629, 789, 723, 1044, 6410, 883, 519, 1007, 7158, 267, 789, 1869, 1491, 942, 547, 5265, 1305, 267, 6382, 789, 949, 1376, 547, 6521, 1394, 610, 6521, 883, 824, 7158, 269, 1924, 1247, 519, 4522, 616, 538, 713, 10169, 10690, 1533, 267, 621, 779, 11613, 16122, 547, 1118, 2386, 602, 596, 5957, 11677, 619, 563, 3719, 1018, 1826, 540, 11677, 518, 568, 1655, 286, 4825, 664, 619, 10416, 2887, 883, 1079, 1292, 6688, 267, 5110, 762, 11677, 619, 543, 8628, 11677, 619, 269, 1548, 568, 1655, 6038, 5673, 593, 596, 267, 707, 6197, 267, 707, 2115, 267, 543, 540, 1576, 707, 13821, 269, 3816, 990, 762, 11677, 619, 723, 1896, 5383, 971, 607, 789, 616, 5110, 762, 269, 1280, 1004, 945, 723, 1044, 9849, 25329, 585, 513, 1279, 942, 267, 2348, 519, 5191, 547, 1491, 513, 11677, 518, 856, 547, 3548, 267, 19568, 267, 543, 1256, 1205, 513, 4605, 1510, 2348, 547, 5957, 835, 666, 581, 513, 5458, 3094, 563, 4913, 5110, 762, 11677, 619, 666, 1291, 547, 4522, 1743, 14823, 811, 982, 8628, 3283, 543, 789, 616, 4443, 547, 6336, 607, 596, 616, 12691, 547, 3765, 2897, 1945, 18385, 7923, 547, 707, 4522, 269, 32719, 550, 11677, 619, 593, 519, 824, 1688, 7500, 2147, 547, 875, 25329, 798, 4849, 3079, 540, 4543, 547, 7903, 543, 7485, 519, 4522, 883, 1747, 789, 616, 3274, 2966, 547, 1832, 873, 538, 519, 1007, 7158, 563, 1692, 547, 2995, 952, 1250, 4522, 11677, 518, 630, 325, 12089, 267, 711, 5110, 762, 264, 13264, 286, 13106, 16599, 545, 5650, 454, 2467, 616, 513, 7008, 540, 2081, 547, 2995, 952, 707, 11677, 518, 13264, 855, 2356, 519, 15864, 568, 1175, 547, 1294, 952, 621, 568, 1631, 13943, 269, 634, 1249, 568, 2436, 621, 779, 513, 8628, 11677, 518, 610, 5110, 762, 11677, 518, 267, 952, 621, 729, 6899, 543, 10393, 596, 2461, 4743, 1945, 533, 3183, 596, 610, 972, 568, 1928, 538, 707, 5023, 610, 2566, 538, 513, 1747, 1141, 621, 1185, 2760, 1044, 1354, 602, 949, 581, 606, 13525, 602, 707, 11677, 518, 814, 1831, 8697, 563, 2690, 5110, 762, 11677, 619, 621, 568, 2484, 4443, 547, 8524, 713, 3054, 269, 6744, 532, 547, 1294, 952, 972, 616, 1022, 18761, 12904, 267, 7745, 4773, 267, 610, 2436, 621, 814, 1044, 16760, 883, 513, 4636, 3337, 568, 1360, 2653, 269, 1452, 616, 782, 2101, 10898, 602, 666, 4755, 585, 2043, 945, 616, 1416, 1652, 827, 741, 11677, 619, 950, 789, 1491, 873, 856, 540, 741, 5023, 563, 303, 9007, 550, 11677, 619, 616, 513, 2370, 3787, 9875, 547, 13209, 855, 1256, 1869, 519, 15864, 1259, 547, 2638, 568, 1175, 547, 16924, 2638, 609, 2901, 707, 3946, 267, 1310, 596, 723, 18233, 707, 11263, 267, 610, 946, 707, 11469, 547, 2638, 543, 1118, 2386, 3388, 568, 538, 1747, 269, 1879, 538, 8969, 267, 596, 666, 2141, 3343, 513, 2034, 6644, 689, 707, 26966, 545, 5604, 269, 1403, 1945, 7959, 4636, 621, 1034, 2693, 568, 4636, 543, 3478, 606, 13393, 19692, 2864, 982, 2663, 666, 948, 11574, 1022, 1761, 3441, 543, 1118, 2386, 602, 707, 11677, 619, 3136, 547, 960, 585, 596, 563, 3963, 616, 5959, 11677, 619, 2556, 286, 4858, 806, 585, 1762, 4079, 454, 14303, 664, 619, 616, 2556, 547, 1832, 707, 4522, 689, 2469, 1394, 883, 519, 4636, 7158, 269, 4825, 664, 619, 616, 606, 11212, 1271, 851, 540, 1022, 26966, 545, 2126, 607, 789, 1118, 2386, 602, 707, 4522, 3251, 538, 519, 1318, 7158, 269, 589, 2603, 540, 1004, 3111, 547, 3136, 713, 1271, 851, 540, 2126, 543, 3079, 723, 741, 4522, 979, 1394, 883, 519, 4636, 7158, 799, 666, 1256, 2014, 2126, 547, 556, 3200, 269, 1403, 596, 1616, 547, 2149, 519, 4190, 12837, 602, 596, 4076, 5249, 2182, 585, 267, 621, 779, 11613, 16122, 602, 596, 5957, 707, 5959, 11677, 619, 585, 607, 1279, 607, 707, 26966, 545, 5604, 15565, 563, 1432, 616, 519, 5383, 540, 4522, 12972, 2126, 286, 13106, 16599, 545, 2126, 4079, 454, 2467, 616, 1082, 1114, 5383, 950, 621, 2501, 547, 4522, 12972, 2126, 855, 789, 666, 10416, 581, 7745, 883, 1079, 2101, 6688, 267, 15312, 543, 23833, 1416, 269, 634, 15312, 835, 15069, 568, 3833, 2786, 4464, 267, 707, 4522, 786, 3274, 1413, 1732, 952, 789, 616, 538, 519, 2953, 2990, 269, 29726, 602, 616, 795, 583, 1154, 856, 693, 7285, 616, 711, 5176, 607, 8353, 24312, 24886, 607, 4522, 602, 616, 782, 538, 519, 2953, 2990, 563, 288, 1644, 3390, 547, 713, 540, 1576, 568, 602, 4522, 602, 616, 711, 13988, 5265, 616, 4522, 602, 616, 2469, 547, 5957, 1524, 12150, 569, 267, 543, 666, 1291, 547, 513, 2898, 3984, 540, 3978, 26966, 545, 543, 5711, 2042, 899, 19659, 267, 10733, 2068, 267, 19596, 5957, 267, 543, 1082, 824, 2101, 2152, 602, 666, 8451, 950, 4522, 616, 711, 1818, 1697, 3346, 609, 1142, 824, 538, 519, 1259, 789, 616, 2966, 547, 269, 16473, 532, 891, 2101, 2152, 689, 16109, 538, 519, 1101, 1747, 568, 513, 2101, 2601, 1946, 1082, 2043, 1205, 26966, 545, 960, 2944, 607, 4166, 607, 2009, 269, 634, 3476, 26966, 545, 2152, 616, 2451, 15860, 267, 519, 8338, 519, 1966, 568, 2693, 547, 1831, 563, 2710, 594, 991, 547, 1205, 4522, 13939, 585, 25329, 286, 7454, 4522, 25329, 585, 4079, 454, 4407, 1152, 707, 26966, 545, 5604, 1131, 581, 2111, 547, 2995, 596, 585, 2386, 267, 538, 519, 5318, 5354, 540, 2665, 4522, 798, 711, 991, 547, 581, 13939, 585, 25329, 547, 581, 2500, 269, 769, 1034, 2665, 267, 972, 568, 2356, 2614, 4055, 538, 707, 5023, 952, 707, 4522, 616, 538, 741, 2953, 7158, 269, 769, 930, 2665, 267, 513, 5694, 949, 581, 6569, 547, 948, 2327, 602, 824, 4522, 723, 2230, 547, 6521, 883, 519, 2953, 7158, 563, 3383, 1247, 621, 568, 2009, 602, 513, 5694, 610, 513, 7008, 540, 4522, 949, 991, 547, 581, 6569, 1354, 596, 666, 1205, 707, 25329, 8704, 267, 3622, 6340, 713, 568, 16613, 269, 1717, 267, 519, 1152, 1259, 547, 917, 585, 1978, 568, 547, 2911, 609, 707, 26966, 545, 5604, 543, 1265, 856, 1018, 707, 789, 4363, 585, 596, 543, 707, 2126, 1544, 563, 302 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3875, 19325, 723, 1044, 6913, 267, 3056, 547, 519, 1646, 540, 3309, 9196, 2553, 971, 607, 16953, 267, 17223, 29821, 630, 6311, 1070, 6419, 16982, 9196, 630, 28122, 1070, 27082, 1258, 12998, 29821, 630, 303, 4953, 1070, 543, 6046, 4915, 269, 4197, 713, 4720, 2488, 5813, 883, 519, 3741, 5817, 4207, 9196, 2409, 543, 11942, 7071, 585, 21722, 3744, 945, 9788, 519, 24536, 585, 2221, 781, 8441, 780, 4089, 476, 273, 281, 25895, 21992, 906, 538, 6481, 24919, 692, 17457, 2564, 9196, 12346, 8185, 593, 12985, 6620, 267, 10427, 8800, 1374, 267, 543, 5499, 3301, 3435, 269, 1280, 3236, 267, 11632, 1085, 22395, 2308, 4359, 6310, 3631, 547, 18949, 3444, 22891, 2592, 689, 2789, 2473, 11920, 20327, 630, 298, 752, 1299, 6215, 2033, 344, 267, 476, 2735, 278, 1040, 6684, 267, 18909, 1949, 15407, 21367, 532, 22197, 543, 13506, 27810, 547, 5352, 1164, 22822, 26715, 7851, 1759, 593, 7250, 22140, 2623, 630, 295, 754, 2465, 1299, 1261, 1731, 523, 267, 476, 1220, 280, 1040, 18227, 32448, 540, 6932, 3466, 538, 2029, 6087, 9439, 547, 10244, 3209, 2645, 585, 4824, 3461, 1416, 780, 4089, 476, 274, 281, 10241, 538, 7073, 6925, 692, 21357, 9196, 4249, 513, 2629, 1909, 538, 23235, 3676, 267, 13057, 7459, 267, 5464, 2126, 3210, 267, 543, 10647, 1382, 269, 1280, 1383, 267, 27946, 270, 6311, 12760, 9196, 814, 19117, 593, 19223, 676, 7175, 21800, 4879, 540, 10510, 10307, 543, 14169, 630, 2171, 828, 1696, 620, 1421, 476, 1220, 277, 1040, 5015, 267, 6198, 18909, 630, 325, 28122, 264, 2636, 1875, 514, 15230, 11837, 540, 2634, 2534, 1282, 5042, 4247, 267, 14027, 938, 8223, 540, 14715, 4713, 630, 19868, 582, 2867, 529, 267, 476, 1220, 279, 1040, 19361, 1944, 3054, 609, 891, 3156, 10597, 707, 2702, 547, 3565, 25006, 547, 4791, 3375, 6194, 3157, 780, 4089, 476, 275, 281, 19078, 19047, 538, 6481, 24919, 692, 20685, 923, 13822, 606, 7533, 5057, 540, 2564, 2259, 267, 21214, 2152, 4478, 7834, 267, 5982, 4598, 267, 1942, 2270, 618, 267, 543, 4199, 14305, 269, 1306, 513, 17053, 3318, 538, 713, 6389, 267, 14719, 908, 7653, 1141, 2418, 949, 4655, 666, 948, 5965, 596, 585, 10188, 1950, 3871, 269, 1280, 3236, 267, 13326, 519, 2640, 540, 9357, 1944, 5982, 2861, 9196, 1996, 1761, 4220, 3340, 6297, 7156, 543, 15984, 547, 3964, 4808, 630, 289, 1066, 1676, 1299, 8065, 267, 476, 1220, 278, 1040, 12056, 538, 2565, 11407, 3823, 7881, 10240, 9094, 707, 4390, 547, 27481, 3318, 8699, 543, 2226, 3972, 1851, 2550, 543, 9164, 7567, 780, 4089, 476, 276, 281, 8892, 19648, 538, 6481, 24919, 16370, 692, 3849, 9330, 906, 538, 5841, 4987, 630, 9590, 1070, 3684, 1565, 267, 543, 2620, 1565, 9153, 547, 2981, 2564, 9196, 676, 3678, 908, 3239, 7664, 267, 14123, 4505, 2068, 7020, 267, 543, 2123, 1944, 5574, 630, 299, 527, 329, 839, 1696, 620, 1421, 476, 1001, 278, 282, 26425, 518, 1696, 620, 1421, 476, 1001, 279, 1040, 16871, 891, 7835, 19329, 5571, 2069, 543, 22371, 547, 5647, 269, 1635, 9363, 1140, 25293, 547, 9687, 3466, 267, 596, 2990, 3054, 693, 519, 21282, 540, 3356, 267, 4712, 547, 3337, 519, 18330, 540, 713, 3078, 2361, 780, 6962, 692, 18698, 2564, 9196, 4066, 3091, 3407, 4030, 883, 1312, 8978, 10781, 543, 5969, 12967, 23484, 5935, 2413, 3782, 269, 3414, 21599, 538, 713, 1641, 2339, 267, 596, 11349, 711, 1152, 2930, 15334, 855, 849, 513, 16994, 4656, 540, 6626, 6286, 2404, 609, 891, 3532, 2645, 269, 20331, 609, 713, 15491, 5133, 267, 596, 1831, 1134, 25668, 5792, 547, 14133, 27268, 267, 24015, 267, 543, 31719, 2429, 707, 4876, 538, 2564, 9196, 4066, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 4107, 15019, 5441, 20727, 832, 538, 10507, 1718, 18480, 281, 13028, 519, 1283, 2852, 32407, 538, 10507, 1718, 18480, 585, 476, 1708, 274, 269, 4855, 856, 799, 4081, 3292, 616, 538, 1164, 3747, 543, 723, 9621, 4876, 10092, 538, 713, 7524, 4993, 2749, 563, 14532, 540, 519, 2160, 538, 10507, 1718, 18480, 454, 6524, 519, 10661, 540, 519, 2160, 538, 10507, 1718, 18480, 267, 7264, 1185, 547, 2951, 547, 7404, 4872, 538, 1931, 547, 2417, 741, 2069, 269, 1717, 267, 609, 519, 3395, 2551, 543, 3747, 585, 2362, 2069, 267, 519, 2146, 3401, 538, 10507, 1718, 18480, 4718, 519, 991, 547, 3142, 513, 6280, 547, 741, 2749, 563, 1103, 519, 2038, 476, 1220, 271, 338, 267, 513, 1895, 540, 2146, 3401, 3357, 1927, 547, 20006, 519, 10661, 540, 519, 6280, 269, 1358, 31570, 609, 1114, 9945, 538, 4993, 585, 5583, 543, 1336, 602, 513, 11450, 609, 513, 18019, 6280, 729, 519, 1655, 4781, 563, 5475, 1896, 16395, 267, 519, 2146, 3401, 941, 2111, 547, 7649, 609, 606, 3964, 6280, 538, 4993, 269, 634, 6280, 3177, 519, 6791, 267, 6437, 267, 543, 20774, 2787, 1247, 512, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 21357, 24919, 16370, 257, 607, 851, 540, 834, 306, 11799, 1315, 10749, 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, 519, 14297, 2749, 540, 3353, 641, 12994, 267, 1079, 2828, 267, 23183, 267, 513, 12021, 3642, 11001, 267, 543, 5484, 267, 513, 1164, 1153, 2875, 609, 513, 16994, 1719, 538, 2029, 267, 1419, 23503, 519, 5767, 3466, 543, 7760, 538, 5841, 4987, 269, 2290, 13566, 12784, 267, 1247, 11981, 4672, 1212, 4461, 693, 741, 5172, 5544, 267, 519, 1888, 1654, 1229, 2509, 519, 4845, 281, 834, 25369, 11106, 786, 16765, 820, 3425, 538, 519, 1985, 2540, 3010, 300, 807, 3576, 513, 15826, 561, 1157, 540, 1200, 20511, 10217, 13863, 4672, 8645, 1354, 4687, 1200, 5133, 269, 834, 296, 3494, 602, 3642, 814, 10373, 1761, 267, 855, 621, 781, 1898, 547, 3314, 602, 621, 781, 1175, 513, 1907, 2813, 676, 3425, 269, 898, 666, 32433, 938, 7207, 267, 948, 721, 1118, 1732, 3664, 267, 543, 1256, 4194, 1950, 2042, 267, 855, 621, 4465, 1405, 5372, 1480, 27265, 267, 6568, 267, 610, 5876, 3010, 13051, 267, 593, 519, 824, 1688, 267, 729, 811, 23904, 827, 519, 1909, 540, 3642, 269, 1261, 11130, 267, 834, 1432, 952, 3642, 1223, 1451, 689, 922, 9073, 5488, 982, 3425, 286, 1548, 952, 3642, 1223, 1184, 1344, 2484, 3564, 1480, 8223, 2157, 286, 14348, 333, 1405, 602, 1611, 789, 1522, 5555, 856, 10628, 721, 12482, 10501, 1190, 547, 2263, 891, 2093, 2417, 267, 789, 4956, 547, 10891, 513, 1507, 11018, 693, 23183, 781, 2978, 267, 18136, 8284, 3173, 267, 3610, 267, 1053, 267, 543, 1256, 2199, 1870, 5411, 269, 4256, 3804, 729, 2241, 910, 5000, 1930, 5717, 1472, 3642, 267, 922, 1764, 593, 2486, 267, 7881, 267, 543, 2436, 621, 1131, 8197, 20546, 1480, 5759, 1369, 519, 1985, 4627, 1296, 780, 2026, 4397, 267, 8369, 9867, 4922, 1282, 519, 2680, 269, 2368, 16079, 539, 23183, 781, 27742, 267, 10771, 519, 2956, 540, 5329, 3642, 607, 513, 14911, 3196, 2864, 982, 513, 8789, 835, 269, 1358, 14129, 602, 14637, 7907, 2189, 547, 3425, 1107, 971, 607, 3929, 4987, 267, 13916, 267, 543, 5683, 3375, 6194, 1107, 7283, 2629, 585, 10188, 606, 5051, 12747, 1158, 269, 8528, 8448, 338, 521, 3660, 609, 5484, 267, 15738, 856, 875, 3684, 1565, 6620, 1185, 2907, 3323, 856, 704, 14127, 3425, 538, 1808, 4247, 899, 3239, 6284, 267, 1893, 8144, 267, 543, 7580, 11080, 269, 2755, 11141, 905, 1846, 267, 13915, 19230, 1996, 7206, 1932, 887, 1910, 513, 4605, 1510, 6236, 519, 1761, 4220, 2404, 609, 31250, 2208, 538, 3642, 7207, 267, 971, 607, 2816, 12761, 267, 7834, 4145, 267, 543, 21568, 540, 3532, 4066, 780, 288, 3226, 24084, 2287, 6643, 7018, 1063, 6004, 269, 16399, 267, 513, 19023, 1686, 4116, 267, 543, 3220, 269, 4793, 601, 267, 513, 3056, 18951, 626, 269, 1879, 4280, 827, 1010, 4555, 593, 3642, 25436, 5338, 8103, 267, 6004, 269, 16399, 14452, 267, 834, 2005, 781, 4105, 547, 1353, 1686, 950, 17782, 519, 2104, 269, 5272, 1713, 6639, 20014, 4547, 17522, 267, 2943, 849, 8118, 909, 1007, 3255, 269, 5457, 519, 11633, 7169, 286, 3509, 21787, 6191, 1131, 11904, 2168, 4074, 28572, 282, 3079, 267, 789, 21490, 519, 1259, 585, 7357, 1007, 6080, 543, 22825, 3010, 7804, 269, 4793, 601, 3773, 267, 834, 6546, 781, 3020, 256, 1809, 649, 1590, 2327, 602, 649, 1810, 1405, 9420, 569, 10956, 2250, 9073, 269, 1284, 991, 3743, 5647, 1107, 8888, 3642, 1949, 16135, 538, 5683, 3741, 267, 5466, 6848, 2115, 267, 543, 4180, 4023, 1569, 547, 2640, 6383, 676, 891, 8441, 3010, 9961, 519, 1554, 267, 1896, 4798, 7153, 689, 1585, 19929, 281, 5698, 267, 2069, 267, 5539, 267, 11413, 267, 543, 13784, 269, 1452, 5717, 12006, 519, 13766, 540, 30015, 1699, 543, 2104, 5481, 609, 2565, 3206, 1983, 267, 3621, 7924, 267, 543, 3059, 15114, 2556, 547, 8853, 9624, 4028, 6639, 1689, 269, 19893, 8815, 602, 5807, 15834, 21769, 1851, 1099, 5505, 267, 14519, 267, 7855, 267, 543, 519, 1857, 1131, 1291, 547, 5923, 518, 3664, 3823, 3642, 1646, 543, 17293, 780, 3528, 10543, 267, 519, 5790, 18388, 539, 609, 25273, 5103, 9301, 519, 2591, 6619, 269, 5637, 23183, 543, 5484, 7691, 602, 3695, 2055, 4478, 3642, 781, 1761, 17282, 17275, 6209, 7391, 15700, 2390, 6626, 3344, 540, 8103, 267, 3356, 267, 543, 938, 7104, 2104, 269, 1656, 7488, 540, 1141, 2029, 3366, 873, 267, 10027, 5109, 3838, 2418, 267, 7326, 267, 543, 2833, 2968, 782, 519, 811, 1271, 538, 5935, 513, 14388, 267, 17519, 267, 543, 4448, 2518, 2146, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 2108, 13014, 513, 10385, 827, 519, 4845, 563, 25369, 4987, 786, 16765, 820, 3425, 538, 519, 1985, 2540, 563, 763, 4845, 20475, 606, 6644, 827, 519, 2104, 540, 5841, 4987, 543, 922, 1761, 547, 20546, 3425, 538, 1978, 5759, 269, 6787, 610, 711, 713, 3948, 786, 2965, 4755, 568, 7334, 543, 1641, 547, 7521, 14325, 763, 1650, 1058, 11200, 998, 519, 3197, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 269, 634, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 3848, 7170, 281, 1133, 24286, 27405, 625, 609, 3203, 604, 9711, 543, 5983, 14750, 3163, 692, 5970, 596, 2479, 14478, 513, 6760, 1397, 1141, 3744, 4983, 10881, 693, 513, 6760, 6429, 547, 948, 4194, 519, 2013, 286, 2107, 6148, 596, 4312, 2938, 24085, 2007, 909, 3504, 13742, 602, 7866, 11580, 827, 2250, 12977, 269, 5637, 540, 891, 4610, 946, 3621, 2409, 547, 5659, 3615, 543, 10625, 1344, 1107, 713, 1184, 568, 1572, 31074, 2079, 256, 2913, 781, 2263, 875, 18837, 2257, 543, 22884, 960, 1927, 547, 8495, 13655, 780, 5331, 4466, 606, 2025, 11777, 1247, 4730, 3544, 269, 1411, 1522, 4898, 945, 11262, 621, 543, 950, 621, 729, 1500, 269, 1635, 4974, 519, 1374, 267, 2326, 267, 543, 1022, 24795, 593, 519, 11777, 267, 4966, 666, 1451, 6266, 540, 1919, 827, 922, 1686, 269, 901, 568, 2147, 547, 1018, 18837, 3744, 798, 950, 789, 1353, 2963, 899, 9416, 21646, 610, 16886, 8732, 902, 547, 4194, 10963, 269, 1358, 5402, 4983, 1142, 1469, 547, 4137, 856, 1018, 5949, 780, 19425, 2801, 5505, 849, 946, 31074, 2079, 547, 1174, 938, 2250, 1732, 269, 1280, 1383, 267, 676, 6313, 20341, 695, 1841, 689, 1114, 942, 5712, 267, 789, 666, 1294, 875, 1004, 781, 2729, 4957, 936, 942, 269, 1403, 789, 1265, 2645, 7258, 1346, 17428, 615, 1091, 267, 789, 1223, 3313, 952, 519, 11317, 941, 6705, 267, 21962, 267, 610, 1312, 780, 3719, 1946, 616, 649, 6158, 827, 1514, 9443, 538, 606, 22884, 3184, 286, 4270, 267, 3006, 1620, 519, 1514, 2796, 568, 2629, 585, 16208, 13742, 7157, 269, 6056, 1394, 547, 519, 11777, 1383, 269, 18833, 519, 5736, 538, 799, 519, 11777, 729 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 623, 26404, 269, 13456, 269, 2433, 1715, 16156, 563, 275, 269, 4210, 3133, 11936, 267, 631, 269, 630, 2735, 279, 1040, 12708, 338, 540, 5253, 543, 715, 8130, 819, 910, 1323, 11628, 7956, 3883, 5292, 269, 594, 543, 4083, 269, 630, 273, 526, 1196, 4700, 645, 4338, 303, 4596, 2433, 10854, 331, 648, 563, 276, 269, 4210, 3133, 11936, 267, 631, 269, 5253, 3163, 269, 645, 4338, 303, 4596, 2433, 10854, 331, 648, 563, 277, 269, 631, 644, 3711, 328, 267, 590, 10611, 269, 543, 681, 7776, 590, 269, 26386, 540, 5253, 1299, 12594, 269, 630, 273, 526, 1196, 4700, 25067, 8109, 13456, 269, 2433, 1715, 16156, 563, 288, 269, 2552, 13764, 9828, 454, 2171, 2074, 543, 3800, 267, 3044, 543, 7622, 3800, 585, 6151, 543, 11273, 3536, 563, 289, 269, 5871, 13648, 2044, 16301, 543, 741, 3096, 538, 5986, 454, 290, 269, 19369, 540, 5934, 1079, 3688, 540, 1142, 540, 519, 1739, 454, 306, 663, 342, 9662, 282, 13640, 13183, 553, 18025, 334, 1559, 1107, 630, 13678, 921, 1299, 28077, 5148, 292, 1375, 910, 4425, 6150, 267, 22304, 543, 1093, 3737, 454, 305, 823, 910, 623, 3121, 334, 267, 2840, 344, 8643, 543, 6653, 7573, 282, 27409, 2931, 910, 6653, 543, 30644, 1210, 1114, 1455, 2409, 540, 5986, 563, 27609, 566, 540, 1426, 3688, 676, 18829, 267, 23286, 543, 21455, 630, 273, 1142, 1916, 305, 7159, 553, 1547, 289, 1197, 1137, 910, 12182, 543, 4411, 563, 289, 2529, 322, 269, 594, 630, 12709, 3163, 994, 306, 655, 6856, 910, 594, 0, 288, 31024, 7376, 630, 10193, 31024, 518, 610, 31024, 626, 264, 568, 606, 1367, 945, 10039, 8628, 16560, 21003, 657, 267, 1419, 538, 606, 3964, 1870, 1572, 513, 834, 339, 16201, 334, 6300, 2580, 834, 339, 16201, 334, 18638, 257, 610, 834, 339, 16201, 334, 1612, 331, 712, 2668, 570, 16201, 334, 5159, 2356, 1451, 741, 4739, 3842, 606, 29095, 1222, 896, 513, 8036, 543, 4810, 21927, 563, 288, 31024, 7376, 12926, 1274, 985, 519, 2140, 676, 11264, 2483, 307, 16201, 334, 5159, 666, 1711, 3312, 31024, 6272, 585, 741, 2483, 5278, 540, 519, 2645, 540, 519, 4123, 723, 7494, 7960, 1247, 2483, 293, 3271, 5866, 1759, 31024, 7376, 267, 12286, 593, 570, 9448, 781, 24543, 769, 330, 269, 5213, 3798, 10434, 344, 281, 536, 269, 476, 3707, 276, 1977, 19612, 607, 834, 1492, 5601, 15289, 540, 2413, 31024, 1701, 10434, 344, 8036, 896, 590, 841, 528, 32515, 543, 5545, 18544, 267, 10434, 344, 568, 513, 7074, 4412, 9426, 540, 519, 946, 540, 5545, 31024, 6272, 543, 2553, 538, 1977, 960, 269, 1261, 8547, 570, 16201, 582, 830, 563, 10144, 849, 2307, 454, 1432, 798, 596, 1289, 513, 1268, 945, 1281, 21003, 657, 888, 8005, 568, 2808, 519, 5601, 15289, 540, 2413, 31024, 888, 8005, 729, 519, 1101, 31024, 7376, 538, 519, 2475, 888, 1432, 1281, 621, 1611, 547, 581, 513, 31024, 7376, 888, 288, 17779, 18908, 1194, 31024, 18995, 606, 22559, 543, 5326, 13906, 7815, 269, 589, 31024, 568, 513, 1106, 540, 1560, 14842, 1500, 676, 29780, 13504, 267, 24470, 267, 543, 5924, 23416, 267, 2901, 30170, 610, 10151, 267, 883, 519, 546, 1069, 529, 4494, 540, 519, 2960, 547, 1106, 513, 1374, 269, 634, 1148, 540, 1818, 21003, 657, 568, 21003, 21749, 4586, 268, 9147, 543, 12465, 13756, 454, 268, 7073, 5375, 570, 16201, 21749, 454, 268, 631, 4106, 2456, 689, 15907, 634, 2622, 454, 15430, 5703, 21003, 657, 593, 3504, 544, 17026, 1881, 1480, 3788, 7866, 602, 21003, 21749, 814, 1044, 13736, 2429, 519, 1158, 585, 27453, 269, 769, 476, 1001, 276, 267, 3621, 556, 12431, 20156, 540, 519, 2085, 540, 519, 1079, 9510, 1634, 31024, 539, 544, 27186, 4857, 3331, 500, 16379, 328, 607, 519, 9510, 1383, 1287, 1634, 269, 901, 1560, 267, 609, 476, 8618, 21003, 657, 267, 729, 1336, 11251, 538, 30961, 4672, 538, 519, 32595, 267, 543, 729, 18584, 547, 476, 23283, 271, 14514, 269, 769, 476, 1001, 279, 267, 519, 9510, 27461, 339, 16201, 657, 538, 519, 1158, 941, 4362, 593, 1079, 544, 27186, 689, 5527, 799, 616, 18584, 1063, 476, 28178, 272, 543, 476, 22145, 278, 14514, 269, 9147, 21003, 21749, 729, 1034, 4922, 13736, 1851, 519, 3243, 1258, 14198, 1004, 269, 898, 729, 835, 540, 519, 2038, 4066, 2919, 676, 519, 2776, 5025, 755, 14772, 2103, 538, 15990, 543, 9381, 3162, 3624, 1991, 547, 693, 2547, 476, 5611, 271, 14514, 267, 1354, 519, 3243, 1258, 14198, 7269, 883, 519, 10195, 540, 519, 21475, 6261, 6680, 269, 898, 949, 723, 8385, 1044, 2404, 609, 2212, 327, 2863, 532, 269, 570, 16201, 21749, 5389, 267, 1519, 11132, 21003, 21749, 267, 666, 581, 1336, 1851, 782, 3243, 1258, 14198, 1016, 25364, 267, 1519, 15990, 3150, 2806, 10594, 1149, 267, 29474, 14913, 1306, 2103, 31972, 23873, 543, 824, 19623, 338, 547, 519, 10513, 14924, 2429, 519, 476, 1704, 628, 2540, 941, 31024, 539, 609, 519, 13243, 9061, 547, 29428, 741, 16831, 1137, 267, 1519, 5261, 19077, 26489, 514, 476, 14065, 273, 269, 769, 476, 15433, 272, 267, 5261, 667, 2086, 1512, 4547, 547, 5507, 513, 27208, 812, 3957, 8614, 8432, 610, 717, 2723, 334, 689, 519, 6532, 540, 9650, 3570, 334, 630, 24589, 2089, 1149, 264, 945, 1185, 513, 31024, 539, 1560, 543, 2968, 1634, 607, 519, 834, 303, 20557, 13584, 2668, 9737, 476, 12293, 277, 543, 476, 10082, 280, 267, 18279, 6276, 13648, 1500, 1614, 16831, 1137, 547, 519, 3162, 7414, 267, 519, 2063, 7552, 10678, 609, 13648, 781, 2669, 538, 16127, 538, 5988, 476, 10082, 280, 269, 1879, 13648, 543, 1010, 2367, 8120, 1753, 547, 2342, 689, 741, 16831, 1137, 547, 2717, 29498, 807, 267, 789, 5143, 8941, 540, 519, 1412, 339, 16201, 334, 539, 5260, 1137, 262, 789, 1185, 2938, 269, 634, 2262, 834, 339, 16201, 334, 257, 3294, 2501, 689, 519, 570, 1695, 23790, 512, 520, 879, 267, 543, 729, 5189, 883, 519, 2296, 1893, 676, 13648, 781, 16939, 263, 2288, 519, 2262, 1412, 339, 16201, 334, 262, 610, 1412, 339, 777, 3562, 334, 3299, 13288, 547, 513, 14941, 18566, 267, 1185, 11478, 538, 2296, 2094, 693, 2547, 476, 13932, 275, 264, 898, 729, 538, 570, 1695, 16951, 20829, 519, 7736, 324, 822, 712, 267, 538, 5147, 476, 12293, 280, 267, 602, 13648, 1101, 7074, 1010, 7422, 827, 519, 2483, 9961, 519, 1158, 781, 1114, 4108, 8371, 267, 21003, 657, 616, 2901, 14931, 896, 4507, 610, 14553, 19275, 547, 3514, 10571, 3009, 3652, 563, 268, 3171, 25733, 3203, 1740, 454, 268, 24498, 25103, 454, 4263, 519, 2085, 540, 27552, 267, 15535, 3459, 5373, 8755, 585, 1010, 7015, 267, 17906, 25272, 267, 543, 5555, 22961, 5367, 609, 1864, 538, 476, 3192, 277, 269, 5804, 2582, 16250, 539, 548, 3109, 7146, 3766, 2001, 960, 547, 5929, 1977, 320, 21003, 657, 543, 6038, 519, 1804, 267, 2688, 5545, 11247, 585, 799, 646, 814, 1831, 4583, 267, 15535, 31024, 539, 11179, 538, 11968, 13353, 630, 517, 6301, 9335, 538, 25708, 700, 6993, 269, 543, 849, 519, 623, 833, 267, 538, 7043, 16047, 264, 585, 8370, 1296, 607, 646, 4797, 547, 24917, 1010, 4739, 2529, 7219, 12213, 281, 6129, 3553, 853, 8692, 570, 16201, 11561, 16201, 334, 256, 25925, 267, 3203, 267, 543, 10266, 517, 519, 20570, 19305, 11053, 16201, 334, 539, 2421, 15952, 517, 5682, 267, 606, 4830, 4670, 4867, 538, 2504, 676, 17451, 13582, 30502, 14371, 2958, 1688, 1790, 20557, 513, 2688, 18369, 585, 21208, 7288, 14520, 343, 540, 631, 7238, 1479, 344, 9197, 6686, 324, 1310, 21003, 21749, 519, 6512, 1247, 593, 4663, 609, 873, 269, 898, 781, 8704, 607, 6490, 528, 8494, 807, 538, 519, 10434, 9412, 595, 12522, 540, 570, 2086, 320, 267, 8419, 14371, 3726, 541, 17292, 15050, 11247, 585, 634, 16503, 3603, 8074, 7868, 570, 16201, 334, 15610, 281, 589, 6651, 547, 19805, 2659, 570, 16201, 334, 263, 5976, 6833, 13453, 5682, 267, 3370, 676, 17363, 1299, 5576, 13831, 267, 476, 1220, 274, 264, 910, 15535, 11609, 7366, 540, 31024, 6272, 585, 713, 2442, 1433, 267, 4421, 11451, 1775, 1862, 306, 7219, 1299, 769, 330, 18225, 263, 1220, 274, 910, 476, 1220, 276, 264, 910, 3171, 25733, 6241, 834, 1432, 570, 16201, 657, 6399, 257, 609, 3220, 269, 5682, 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 ]
[ 267, 945, 616, 693, 5207, 1981, 540, 546, 20621, 543, 616, 2693, 5171, 538, 513, 10977, 6304, 971, 607, 4210, 574, 306, 12522, 267, 1297, 1134, 936, 476, 2412, 2929, 1453, 269, 278, 589, 10872, 5732, 8720, 713, 1297, 540, 1453, 3340, 2963, 540, 3106, 1354, 3001, 547, 2407, 4336, 269, 2290, 1761, 3106, 3390, 568, 2436, 1453, 945, 7119, 543, 1451, 2596, 10977, 1983, 1287, 2333, 741, 2949, 4598, 547, 1216, 269, 6271, 568, 2436, 1453, 6026, 2596, 10977, 949, 2333, 1981, 23824, 950, 538, 1216, 630, 1122, 267, 10977, 610, 4730, 538, 1216, 4805, 1070, 1256, 952, 2949, 1216, 23927, 616, 711, 2799, 269, 769, 2901, 2013, 267, 713, 949, 2333, 519, 1981, 540, 546, 20621, 269, 2755, 513, 7811, 1981, 267, 519, 4890, 1981, 568, 711, 2943, 1634, 269, 279, 2060, 936, 476, 2412, 2929, 1453, 5732, 10283, 267, 952, 1152, 476, 272, 260, 8858, 891, 19326, 267, 5492, 24312, 621, 1223, 1747, 936, 476, 6110, 476, 1822, 1453, 693, 2799, 1981, 269, 901, 1353, 729, 17298, 547, 1683, 1239, 593, 12451, 540, 4598, 547, 1216, 543, 1981, 23824, 19326, 538, 16351, 1216, 4598, 540, 4210, 574, 306, 12522, 20021, 630, 7704, 264, 3379, 609, 1453, 945, 4121, 10977, 6923, 1510, 4598, 547, 4210, 574, 306, 12522, 563, 763, 1353, 1031, 7368, 3444, 22891, 12220, 547, 5635, 4598, 547, 1216, 543, 1981, 538, 16351, 1216, 4598, 1851, 6917, 20021, 540, 4210, 574, 306, 12522, 609, 2085, 2173, 520, 3481, 543, 3023, 2173, 520, 3481, 1453, 945, 4121, 10977, 6923, 609, 1100, 4598, 547, 4210, 574, 306, 12522, 269, 16842, 1981, 538, 16351, 1216, 4598, 729, 3989, 607, 630, 272, 264, 2799, 4908, 540, 10977, 610, 4730, 538, 1216, 610, 630, 273, 264, 10977, 610, 4730, 4805, 538, 1216, 563, 10521, 12220, 941, 5342, 693, 1114, 2053, 540, 519, 4005, 950, 10977, 568, 513, 3339, 2534, 585, 1453, 269, 634, 1101, 729, 538, 4728, 1700, 19688, 476, 1001, 272, 950, 22253, 543, 8933, 6445, 909, 543, 519, 4365, 3587, 3636, 543, 7928, 10977, 5956, 269, 634, 2034, 729, 538, 5181, 1700, 19751, 476, 1001, 272, 267, 3735, 538, 519, 10977, 4005, 950, 10977, 543, 1216, 1404, 729, 4080, 547, 581, 5207, 676, 6917, 7264, 563, 1103, 1312, 12220, 267, 476, 1220, 271, 9399, 9907, 476, 276, 1700, 1691, 941, 5697, 1210, 2241, 4351, 10386, 689, 519, 5111, 476, 1220, 476, 1822, 20021, 540, 519, 6917, 4210, 574, 306, 12522, 10872, 269, 3962, 9399, 729, 20083, 609, 513, 1852, 1126, 945, 1185, 4121, 10977, 6923, 543, 1185, 1100, 4598, 547, 4210, 574, 306, 12522, 269, 631, 10248, 729, 2944, 593, 1858, 540, 5542, 267, 2085, 543, 3023, 269, 589, 2698, 540, 476, 3583, 275, 277, 19610, 9399, 543, 2067, 7669, 11302, 630, 10064, 264, 1185, 26729, 1239, 563, 288, 840, 2389, 6479, 18102, 729, 1031, 547, 2445, 1239, 3823, 7127, 883, 1216, 1282, 519, 3105, 476, 4366, 554, 269, 634, 476, 4366, 554, 11291, 1974, 729, 6074, 547, 12366, 1047, 2143, 973, 565, 3005, 540, 1142, 12558, 538, 1931, 547, 5265, 3651, 1981, 540, 513, 1880, 12558, 269, 3004, 1441, 5967, 619, 5342, 3068, 3562, 19904, 11042, 609, 519, 1453, 1739, 5483, 9844, 689, 3237, 269, 4578, 941, 6394, 593, 519, 1297, 540, 1216, 13366, 538, 519, 3105, 476, 4366, 554, 282, 519, 1826, 540, 1216, 1560, 585, 1142, 7127, 282, 519, 1292, 2601, 585, 1142, 1216, 7127, 543, 519, 1268, 4433, 264, 18913, 519, 1126, 593, 1142, 7127, 563, 10574, 7127, 543, 2079, 454, 10574, 2079, 729, 2944, 609, 853, 1092, 966, 269, 1556, 269, 16448, 531, 26848, 9695, 729, 1031, 547, 4983, 519, 20083, 6292, 1239, 585, 1713, 3604, 538, 17114, 1063, 519, 2516, 267, 543, 519, 20083, 8424, 512, 1449, 729, 1031, 547, 6218, 3604, 538, 1797, 1063, 2516, 563, 2467, 941, 476, 3583, 275, 277, 1453, 609, 6192, 11042, 689, 519, 1079, 10386, 5712, 689, 519, 6917, 1016, 23251, 2774, 540, 14780, 10247, 329, 269, 634, 8167, 540, 5256, 543, 4775, 5171, 729, 2147, 538, 9399, 543, 22085, 1453, 538, 1142, 2085, 1895, 630, 14456, 476, 272, 1916, 10831, 540, 782, 13366, 883, 1216, 454, 2467, 941, 513, 2698, 540, 476, 31634, 279, 13366, 883, 1216, 689, 519, 476, 3583, 275, 277, 5171, 538, 519, 476, 4366, 554, 1991, 547, 519, 5967, 269, 6168, 835, 21017, 630, 4029, 269, 273, 8472, 1185, 1100, 1216, 13366, 267, 835, 2389, 5460, 630, 1015, 269, 276, 8472, 9411, 2899, 267, 3368, 630, 5392, 269, 273, 8472, 9411, 7466, 543, 513, 20870, 630, 280, 269, 272, 8472, 9411, 1614, 610, 811, 2053, 269, 1160, 1636, 687, 540, 1453, 538, 1142, 1895, 941, 2147, 538, 4908, 540, 1216, 7127, 630, 14456, 476, 273, 1916, 3725, 1783, 585, 7127, 883, 1216, 454, 10666, 476, 4200, 260, 540, 1312, 2516, 630, 4200, 269, 274, 260, 9399, 267, 476, 4200, 269, 277, 260, 22085, 264, 1152, 9411, 519, 1216, 585, 28876, 543, 2999, 272, 260, 9411, 519, 1216, 585, 4730, 610, 10977, 630, 271, 269, 277, 260, 9399, 267, 476, 271, 269, 275, 260, 22085, 264, 630, 14456, 476, 274, 1916, 763, 2164, 602, 1246, 1152, 829, 1555, 547, 1216, 7127, 585, 4730, 543, 5924, 10977, 543, 23868, 824, 23927, 602, 941, 3592, 7357, 28876, 269, 3683, 519, 476, 4366, 554, 11291, 1974, 267, 519, 1297, 540, 1453, 538, 1312, 2516, 945, 5129, 610, 2220, 600, 538, 519, 1216, 729, 3833, 1507, 269, 1703, 941, 476, 866, 9399, 1453, 945, 5129, 610, 2220, 600, 538, 519, 1216, 267, 609, 476, 1626, 13366, 547, 1404, 543, 476, 1428, 13366, 547, 7669, 269, 1703, 941, 476, 1556, 22085, 1453, 945, 5129, 610, 2220, 600, 538, 519, 1216, 267, 609, 476, 1321, 13366, 547, 1404, 543, 476, 274, 547, 7669, 563, 10831, 540, 13366, 883, 1216, 547, 7669, 610, 1404, 676, 2085, 543, 3023, 454, 763, 1297, 540, 13366, 538, 519, 19610, 5439, 729, 1932, 1906, 585, 6325, 8579, 9819, 585, 3604, 1063, 519, 9399, 543, 22085, 2516, 630, 14456, 476, 275, 1916, 19613, 540, 7127, 454, 7197, 16351, 13366, 630, 10019, 269, 279, 8472, 3576, 1747, 538, 22253, 630, 2764, 13366, 267, 476, 2568, 269, 280, 8472, 543, 546, 9662, 267, 1970, 2127, 7363, 3819, 602, 6445, 909, 609, 1804, 5666, 540, 1216, 538, 519, 24925, 4005, 630, 1556, 13366, 267, 476, 2537, 269, 280, 22103, 9050, 13366, 941, 538, 8933, 630, 279, 269, 278, 8472, 543, 1079, 13366, 941, 538, 23668, 630, 275, 269, 274, 260, 1916, 16914, 558, 11952, 532, 1268, 585, 16351, 1216, 7127, 454, 763, 5354, 540, 16351, 1216, 13366, 585, 1312, 2516, 941, 10483, 676, 3659, 630, 3445, 269, 274, 260, 9399, 543, 476, 10463, 269, 274, 260, 22085, 264, 607, 2938, 538, 3349, 476, 276, 269, 1703, 941, 1932, 1906, 16351, 1216, 13366, 2944, 4805, 547, 3313, 8579, 3017, 1063, 9399, 543, 22085, 2516, 563, 1607, 1353, 8947, 519, 4908, 540, 1216, 4598, 267, 4598, 547, 1216, 585, 18883, 543, 1981, 23824, 19326, 1247, 10977, 610, 4730, 538, 1216, 585, 1762, 1453, 538, 6917, 16273, 269, 898, 3379, 891, 538, 1453, 945, 1185, 4121, 547, 7669, 538, 519, 4210, 574, 306, 12522, 10872, 609, 2147, 1453, 945, 1185, 4121, 10977, 6923, 269, 20290, 782, 1216, 4598, 585, 1453, 538, 1312, 2516, 3357, 689, 28876, 630, 1506, 8958, 5829, 1040, 10815, 982, 476, 272, 260, 540, 2901, 20165, 2220, 600, 610, 5129, 538, 519, 1216, 1282, 519, 476, 4366, 554, 1974, 6594, 269, 1703, 941, 1100, 3604, 538, 2949, 1216, 4598, 267, 16351, 1216, 4598, 585, 4730, 610, 10977, 267, 543, 519, 1164, 16151, 7180, 540, 4730, 610, 10977, 4805, 563, 763, 1353, 2982, 16351, 1216, 4598, 568, 513, 1360, 1507, 6824, 540, 782, 1453, 781, 3232, 1216, 4598, 538, 519, 1353, 2551, 269, 2755, 4122, 2219, 602, 1453, 538, 6917, 2127, 540, 16273, 6108, 1804, 5666, 540, 942, 4730, 267, 1034, 1453, 476, 275, 1296, 543, 4587, 723, 9021, 585, 6469, 26050, 267, 21528, 538, 519, 4610, 267, 4543, 609, 2831, 267, 27459, 2358, 16254, 543, 1419, 679, 13764, 538, 1153, 269, 1306, 513, 1267, 267, 789, 798, 711, 723, 513, 1804, 2179, 540, 13417, 19099, 942, 547, 1404, 269, 634, 5619, 2164, 616, 5812, 609, 713, 267, 6029, 1216, 7127, 585, 18883, 568, 711, 513, 3232, 2680, 585, 1034, 267, 1256, 950, 519, 4365, 568, 3636, 543, 22253, 543, 824, 1216, 4703, 616, 2407, 563, 763, 991, 547, 4283, 1216, 585, 1898, 3232, 2238, 814, 5921, 602, 519, 5354, 540, 1453, 538, 16273, 1451, 10977, 1217, 958, 267, 1419, 689, 513, 1762, 2085, 269, 4935, 267, 10854, 14435, 6062, 1453, 798, 723, 1216, 4598, 998, 4730, 543, 10977, 267, 4352, 693, 1454, 2539, 3928, 982, 1216, 4598, 585, 28876, 269, 4804, 10977, 1983, 1217, 958, 568, 513, 2686, 2343, 585, 6917, 1453, 269, 1323, 10236, 1670, 1353, 593, 2067, 11601, 540, 10977, 2702, 538, 6917, 16273, 4951, 621, 568, 513, 11295, 1184, 602, 5956, 538, 26638, 543, 5170, 998, 2038, 6689, 269, 2368, 1453, 616, 2111, 547, 7669, 689, 476, 274, 1296, 540, 2085, 269, 280, 634, 645, 295, 3041, 3084, 5619, 1336, 602, 513, 1804, 5354, 540, 1453, 267, 1312, 6917, 543, 4683, 267, 723, 6923, 9715, 10977, 2702, 676, 519, 1439, 540, 6689, 269, 273, 3683, 1614, 6709, 11467, 540, 1453, 538, 16273, 1451, 547, 7669, 676, 2085, 476, 1704, 543, 4497, 538, 16351, 1216, 1404, 610, 10977, 2429, 519, 3259, 540, 6689, 563, 763, 1353, 8947, 2436, 16351, 1216, 4598, 602, 1281, 2049, 1281, 865, 609, 2799, 1981, 269, 3752, 3202, 267, 796, 659, 1260, 3966, 1221, 1404, 610, 10977, 538, 1216, 6799, 971, 606, 2799, 1981, 269, 589, 1126, 945, 4991, 883, 8373, 1247, 4805, 814, 1100, 835, 547, 1683, 948, 547, 2061, 873, 689, 546, 20621, 269, 2290, 3804, 540, 4210, 574, 306, 12522, 729, 547, 13599, 1416, 339, 5474, 543, 1453, 547, 519, 1981, 540, 713, 2259, 543, 2569, 621, 269, 901, 10355, 7018, 585, 2901, 1895, 269, 8892, 1382, 786, 581, 2877, 547, 1294, 2436, 713, 568, 1813, 547, 519, 3908, 3732, 2450, 563, 763, 12191, 6964, 538, 713, 1353, 547, 4983, 1981, 543, 1216, 4598, 1058, 581, 2808, 538, 519, 2796, 540, 519, 3908, 855, 3395, 3486, 3332, 593, 1981, 4598, 3800, 585, 546, 20621, 269, 1015, 634, 4244, 2268, 540, 942, 538, 1216, 267, 585, 1383, 267, 12346, 593, 22423, 2409, 602, 949, 581, 5078, 585, 1134, 9113, 712, 1027, 2090, 267, 3226, 538, 1164, 13867, 5468, 1141, 14603, 546, 20621, 3928, 616, 1970, 269, 769, 971, 5468, 267, 621, 568, 3730, 547, 10502, 5806, 3729, 1164, 16151, 2516, 607, 789, 949, 4268, 7494, 689, 519, 2949, 2551, 1981, 269, 769, 30838, 2975, 338, 267, 2523, 538, 6917, 5468, 267, 16133, 547, 1216, 568, 8471, 2066, 12303, 782, 2551, 1016, 25364, 269, 769, 971, 1164, 7721, 17068, 5054, 609, 741, 7766, 1164, 3928, 540, 546, 20621, 543, 533, 14072, 640, 540, 1857, 1072, 2200, 267, 519, 2949, 2551, 1981, 568, 5078, 547, 1217, 3609, 543, 1020, 3617, 6604, 3800, 563, 25332, 969, 1049, 2409, 941, 711, 4052, 538, 713, 1353, 269, 634, 1582, 3146, 19959, 2470, 540, 519, 1239, 689, 1762, 1453, 568, 513, 20159, 269, 5753, 941, 4280, 547, 1867, 519, 1292, 2601, 585, 1216, 7127, 267, 543, 621, 568, 2009, 602, 2789, 19326, 7018, 585, 1142, 7127, 269, 4595, 16351, 1216, 4598, 1102, 18526, 3238, 519, 1416, 339, 6033, 267, 621, 729, 711, 2009, 547, 19472, 519, 1582, 3146, 1636, 540, 519, 1453, 269, 6684, 267, 519, 3259, 540, 1142, 16351, 4598, 729, 8572, 547, 581, 5462, 607, 1762, 1453, 798, 711, 723, 29167, 543, 519, 1353, 3238, 1582, 3146, 1636, 543, 711, 8343, 676, 1866, 269, 7053, 267, 519, 1582, 3146, 19959, 10977, 2702, 585, 519, 6923, 9715, 10977, 20165, 729, 711, 7318, 998, 8343, 269, 634, 8989, 12191, 814, 1044, 3044, 2213, 269, 1556, 898, 814, 1044, 24019, 676, 6476, 540, 7150, 10977, 2702, 543, 6027, 10977, 2702, 538, 519, 1482, 1353, 5095, 630, 684, 335, 21242, 1239, 267, 5758, 2139, 593, 7662, 1916, 2304, 1271, 20159, 538, 713, 1353, 568, 1379, 269, 898, 568, 2693, 602, 952, 2799, 1216, 4598, 610, 1981, 23824, 1247, 538, 519, 1216, 4386, 607, 513, 1267, 540, 1565, 547, 7669, 267, 621, 1152, 4386, 693, 1970, 2157, 269, 1473, 1311, 2963, 585, 713, 666, 581, 2938, 538, 519, 29005, 2013, 1700, 31553, 1353, 538, 519, 645, 295, 3041, 3084, 5619, 269, 634, 1353, 4951, 3668, 540, 10977 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3592, 476, 3374, 267, 1822, 1793, 3058, 16831, 1137, 602, 585, 322, 4601, 24389, 936, 476, 1015, 2929, 20338, 585, 3560, 547, 519, 17113, 1063, 519, 476, 1626, 628, 543, 476, 866, 628, 5553, 269, 898, 3091, 3173, 267, 1053, 543, 519, 2489, 1857, 513, 4960, 547, 2699, 4593, 1478, 519, 4641, 540, 835, 540, 519, 4102, 7142, 5322, 540, 1004, 538, 1158, 1686, 269, 0, 14257, 269, 476, 1691, 267, 476, 1001, 275, 454, 4263, 5669, 3196, 22794, 630, 28425, 300, 264, 814, 1831, 513, 9621, 1907, 585, 22392, 24519, 268, 15953, 338, 547, 5958, 622, 24519, 3613, 23461, 610, 24519, 11546, 341, 1182, 269, 1717, 267, 972, 616, 1869, 930, 2591, 6849, 519, 1646, 540, 606, 19200, 300, 1759, 18951, 6289, 2674, 760, 1637, 1062, 267, 971, 607, 519, 24604, 2404, 609, 19200, 300, 9133, 543, 20543, 267, 519, 2582, 1448, 3196, 543, 5872, 1063, 519, 9133, 543, 20543, 267, 543, 519, 9936, 23363, 540, 3631, 1373, 1031, 269, 901, 960, 729, 3370, 538, 20959, 15089, 12771, 18225, 563, 3467, 14257, 269, 476, 1556, 267, 476, 1001, 275, 454, 2304, 19200, 300, 16785, 568, 513, 18085, 850, 591, 267, 8032, 899, 513, 6263, 11362, 4604, 609, 513, 1507, 267, 10570, 8397, 1448, 593, 519, 1863, 1439, 269, 1677, 2268, 4229, 693, 519, 7636, 4336, 538, 513, 5277, 267, 519, 16785, 1140, 2851, 922, 9133, 547, 513, 11140, 971, 607, 513, 3940, 543, 27605, 282, 519, 4611, 1219, 3005, 540, 519, 18085, 850, 591, 568, 6027, 269, 634, 4229, 616, 538, 519, 7706, 540, 17552, 821, 342, 27971, 267, 610, 18265, 2195, 540, 513, 1007, 2023, 269, 2290, 1007, 2023, 568, 10199, 519, 2597, 540, 513, 1507, 11945, 269, 634, 1007, 16785, 1374, 267, 4330, 538, 589, 5425, 30594, 267, 568, 519, 808, 296, 6369, 1382, 1895, 781, 3791, 2487, 4434, 538, 19200, 300, 2029, 563, 3467, 11321, 269, 476, 736, 267, 476, 1001, 275, 454, 19990, 7804, 633, 585, 1306, 23796, 3194, 595, 2988, 615, 19200, 16039, 814, 5368, 1203, 539, 26378, 7154, 585, 811, 2241, 267, 7123, 543, 4977, 9196, 267, 2523, 585, 6211, 5439, 602, 616, 3335, 708, 3042, 538, 5714, 269, 4544, 7804, 633, 30283, 519, 6671, 2650, 15605, 659, 15064, 29835, 7271, 543, 3096, 513, 4544, 8955, 547, 2047, 10161, 519, 19200, 300, 18085, 850, 591, 2584, 1278, 332, 958, 563, 3467, 11321, 269, 476, 866, 267, 476, 1001, 275, 454, 295, 528, 756, 320, 11660, 814, 5189, 519, 2473, 680, 334, 6938, 12813, 4785, 10548, 534, 17209, 269, 2473, 680, 334, 6938, 12813, 4785, 16621, 2189, 543, 3532, 1382, 3252, 538, 606, 23666, 1947, 11741, 10763, 14541, 11640, 563, 19423, 1359, 16134, 267, 10727, 543, 1379, 267, 621, 1281, 711, 14207, 1239, 2298, 610, 3239, 6571, 269, 2473, 680, 334, 6938, 12813, 4785, 568, 513, 4628, 1476, 5914, 543, 1164, 2773, 10548, 534, 17209, 267, 5356, 606, 796, 3901, 3481, 543, 8476, 2039, 540, 3681, 971, 607, 2789, 8955, 20966, 267, 2347, 12957, 267, 15444, 6717, 291, 7020, 267, 10548, 534, 26445, 543, 1256, 19200, 300, 23993, 563, 3467, 11321, 269, 476, 866, 267, 476, 1001, 275, 454, 10214, 519, 7646, 652, 1106, 540, 513, 15779, 2634, 5945, 267, 1732, 1634, 607, 513, 6677, 15664, 267, 666, 4308, 8628, 267, 9048, 1706, 762, 3441, 269, 3767, 267, 606, 15834, 2319, 540, 3173, 693, 519, 2160, 540, 12425, 568, 1210, 6310, 9781, 547, 1732, 1174, 519, 6127, 693, 1404, 538, 713, 2186, 540, 5945, 267, 609, 606, 3750, 4724, 7863, 519, 2634, 689, 922, 1279, 3856, 4539, 563, 3467, 11321, 269, 476, 1691, 267, 476, 1001, 275, 454, 7712, 922, 8798, 26994, 10414, 5843, 2675, 4878, 814, 3964, 3294, 607, 513, 11684, 1907, 585, 9196, 1570, 1949, 1299, 2404, 6422, 3157, 269, 769, 519, 2038, 476, 3445, 338, 519, 4480, 729, 2417, 2919, 547, 6451, 519, 946, 540, 12699, 28525, 607, 1797, 540, 17655, 519, 3732, 2627, 269, 769, 713, 1353, 661, 31815, 328, 9190, 2281, 941, 1031, 538, 606, 3801, 547, 711, 1152, 2417, 1020, 543, 11126, 519, 946, 540, 8143, 19200, 300, 267, 855, 849, 547, 2119, 543, 2744, 2417, 5813, 883, 741, 4205, 609, 14453, 2326, 563, 3467, 11321, 269, 476, 1015, 267, 476, 1001, 275, 454, 1103, 5698, 609, 9164, 689, 12670, 543, 28925, 267, 3173, 693, 519, 4972, 540, 8212, 693, 519, 2160, 540, 30239, 723, 15504, 909, 9678, 7636, 11800, 689, 513, 4154, 2627, 267, 1210, 519, 9133, 540, 606, 10570, 3196, 17209, 630, 28425, 300, 1040, 634, 4767, 5365, 2488, 5813, 883, 519, 1033, 16670, 3196, 543, 11006, 1648, 540, 6675, 269, 634, 2164, 723, 1044, 3370, 538, 519, 4760, 623, 2793, 306, 563, 3467, 11321, 269, 476, 6187, 267, 476, 1001, 275, 454, 288, 1910, 331, 636, 3194, 267, 606, 10228, 29698, 2754, 267, 20217, 782, 595, 2988, 615, 543, 631, 17025, 268, 274, 291, 19200, 300, 3755, 547, 4283, 741, 1655, 19200, 300, 1239, 267, 1519, 2592, 267, 3196, 14258, 267, 610, 7044, 267, 538, 519, 1306, 23796, 3194, 12005, 2552, 652, 269, 3962, 10196, 786, 4309, 606, 1306, 23796, 10516, 3640, 1175, 585, 11488, 538, 741, 2592, 269, 1323, 11197, 27317, 786, 581, 13752, 693, 519, 2673, 540, 1142, 10116, 547, 519, 10888, 3239, 602, 1655, 4564, 17284, 538, 2257, 543, 519, 834, 322, 944, 257, 3815, 607, 24565, 676, 938, 2319, 540, 3156, 3744, 269, 8564, 13366, 786, 849, 581, 12286, 538, 519, 1306, 23796, 3194, 3896, 19922, 563, 3467, 15037, 269, 476, 1839, 267, 476, 1001, 275, 454, 763, 20188, 21536, 9707, 28230, 729, 1934, 8268, 676, 1797, 540, 19200, 300, 2861, 3196, 28728, 269, 1280, 519, 1101, 942, 547, 938, 1702, 267, 713, 4480, 814, 1044, 1031, 547, 6218, 875, 20188, 17011, 4431, 950, 19316, 896, 606, 5007, 3586, 3196, 538, 519, 2039, 540, 562, 301, 269, 1284, 941, 2111, 547, 2047, 22945, 519, 737, 27282, 540, 519, 9245, 28230, 2680, 543, 519, 2404, 1648, 7496, 267, 538, 11984, 547, 519, 5929, 2090, 5340, 693, 3586, 6991, 563, 3467, 15037, 269, 476, 1015, 267, 476, 1001, 275, 454, 22117, 532, 4574, 689, 519, 476, 276, 628, 19200, 11586, 328, 15701, 10985, 593, 19200, 300, 538, 5020, 7070, 543, 6925, 616, 3370, 607, 519, 1101, 5691, 3390, 1369, 4750, 540, 17449, 23779, 269, 634, 3390, 568, 1863, 547, 1569, 2394, 519, 1439, 540, 4728, 269, 0, 347, 2791, 666, 1631, 1491, 17459, 294, 10955, 3000, 2023, 3820, 609, 596, 593, 707, 12829, 7483, 269, 717, 9369, 281, 544, 269, 1075, 3022, 3000, 2023, 3820, 2008, 2690, 1357, 4751, 10311, 543, 824, 3377, 267, 5225, 1246, 721, 593, 12108, 7711, 10813, 294, 10955, 3000, 2023, 454, 301, 984, 1328, 1131, 2479, 723, 5156, 602, 519, 10437, 540, 5527, 1223, 3274, 3802, 856, 540, 519, 4182, 602, 1185, 4371, 873, 27604, 585, 865, 1279, 269, 634, 21072, 2760, 1705, 1589, 3810, 540, 1352, 17731, 1091, 267, 855, 896, 519, 1416, 540, 9478, 267, 5840, 729, 2016, 1434, 2244, 543, 519, 2702, 547, 1332, 538, 2338, 269, 15584, 6592, 519, 1689, 538, 10182, 602, 5949, 28069, 1310, 519, 2669, 540, 9478, 269, 589, 1007, 4622, 21256, 543, 646, 5701, 519, 25232, 10792, 569, 269, 5840, 1185, 2799, 7494, 538, 2338, 543, 602, 729, 513, 6161, 547, 519, 21072, 269, 29817, 728, 602, 972, 729, 519, 4250, 602, 519, 25232, 1522, 6443, 930, 10546, 543, 2490, 593, 5527, 269, 1306, 942, 5293, 519, 2604, 729, 2799, 1996, 5840, 2394, 1919, 4682, 865, 2484, 602, 519, 5256, 1453, 941, 547, 581, 7166, 693, 4332, 269, 2353, 540, 713, 568, 6592, 538, 31519, 3184, 835, 269, 2696, 8359, 15584, 543, 4352, 646, 729, 26997, 267, 2696, 16219, 1390, 28986, 2394, 519, 31279, 1131, 1450, 873, 547, 4734, 543, 789, 1131, 711, 979, 8900, 19942, 630, 7049, 269, 476, 274, 281, 866, 268, 2420, 1040, 1548, 4553, 729, 513, 3126, 540, 6909, 2621, 4547, 593, 676, 2696, 602, 3366, 547, 519, 726, 8974, 532, 540, 5527, 267, 3045, 8811, 7976, 630, 1993, 519, 7952, 540, 5527, 543, 519, 5191, 540, 519, 1004, 630, 2750, 617, 269, 476, 1691, 281, 2764, 1040, 2290, 27803, 1310, 1776, 729, 2016, 267, 855, 519, 1004, 540, 5840, 2760, 8604, 547, 581, 1543, 269, 23875, 729, 1434, 2614, 621, 8604, 543, 789, 9597, 332, 3293, 1996, 15584, 543, 2696, 630, 2750, 617, 269, 476, 1626, 281, 273, 1916, 18661, 729, 7184, 7255, 827, 811, 982, 3274, 11324, 5224, 5840, 269, 1261, 4941, 547, 1118, 873, 513, 13411, 4182, 543, 513, 1769, 547, 519, 1158, 676, 1797, 540, 519, 1259, 540, 1272, 2696, 15469, 630, 2750, 617, 269, 476, 866, 281, 276, 267, 277, 1040, 2696, 729, 2866, 873, 543, 4152, 873, 269, 898, 729, 1898, 602, 5840, 6785, 602, 1261, 543, 1152, 1261, 729, 2696, 543, 602, 789, 2877, 547, 14883, 547, 13924, 538, 3388, 789, 2219, 543, 1705, 269, 6206, 547, 782, 540, 2696, 781, 3527, 729, 519, 991, 585, 519, 1004, 547, 23491, 3571, 1876, 269, 1261, 6026, 543, 24451, 519, 1876, 543, 7318, 873, 827, 741, 8456, 4724, 13924, 630, 2750, 617, 269, 476, 1626, 281, 275, 1040, 2290, 1271, 3992, 585, 5840, 729, 602, 789, 1223, 711, 7639, 1510, 519, 1463, 3346, 789, 1185, 609, 2696, 269, 1358, 2877, 1216, 543, 1426, 585, 2933, 543, 585, 519, 31459, 540, 12418, 789, 4547, 609, 873, 269, 8409, 31459, 941, 547, 581, 519, 6079, 540, 2104, 31459, 602, 1131, 3761, 1426, 543, 5763, 547, 5840, 269, 2696, 1185, 4862, 741, 20286, 543, 621, 606, 13499, 13924, 630, 2750, 617, 269, 476, 1626, 281, 279, 268, 1015, 1040, 6271, 1390, 27803, 729, 827, 547, 2253, 269, 5840, 1131, 4309, 3694, 689, 13140, 2059, 609, 1216, 543, 5779, 547, 3548, 269, 1261, 1131, 798, 602, 585, 519, 1985, 476, 2412, 1296, 910, 1169, 1554, 4849, 519, 590, 30117, 1554, 269, 5840, 729, 827, 547, 1174, 602, 519, 590, 30117, 729, 13411, 543, 602, 2696, 729, 7184, 5461, 538, 873, 1073, 324, 3539, 13924, 543, 5329, 3571, 4971, 906, 630, 2750, 617, 269, 476, 1626, 281, 1839, 268, 3066, 1040, 15584, 5206, 602, 789, 17696, 812, 3534, 2394, 789, 3357, 547, 519, 8473, 540, 519, 2244, 540, 2052, 22528, 17288, 1296, 2663, 269, 630, 951, 525, 476, 4029, 268, 3374, 1916, 301, 984, 1328, 1185, 2938, 834, 2006, 3534, 257, 1354, 543, 865, 789, 1572, 621, 834, 1432, 568, 621, 8119, 630, 10048, 554, 340, 262, 538, 12355, 1040, 634, 812, 3534, 13820, 539, 899, 1351, 328, 6387, 269, 1358, 1223, 27106, 610, 14974, 621, 538, 25394, 543, 621, 1223, 581, 2666, 899, 513, 6079, 543, 1287, 19323, 630, 19617, 269, 476, 1556, 281, 277, 268, 280, 1040, 4595, 789, 19323, 621, 1169, 1554, 267, 621, 1131, 711, 723, 24111, 899, 3694, 269, 898, 729, 1572, 3694, 267, 10286, 689, 13140, 543, 21425, 1426, 630, 11679, 531, 332, 476, 4281, 281, 2190, 268, 2764, 1040, 5840, 17696, 4986, 602, 729, 682, 822, 2989, 2394, 789, 9411, 519, 8871, 2213, 8092, 269, 634, 1964, 540, 519, 2272, 827, 5840, 568, 2854, 538, 519, 3817, 540, 519, 6426, 543, 519, 2272, 540, 741, 9668, 689, 2696, 607, 1261, 6569, 873, 689, 519, 8871, 2213, 8092, 563, 5472, 602, 5949, 547, 5840, 568, 6592, 585, 606, 1383, 585, 1004, 2221, 630, 296, 4856, 269, 476, 1015, 281, 1556, 267, 1321, 1040, 634, 6426, 28279, 721, 602, 2696, 568, 5373, 513, 1004, 856, 540, 713, 1158, 2221, 602, 616, 547, 581, 3571, 13411, 1004, 543, 513, 13411, 4182, 630, 296, 8891, 269, 476, 273, 281, 280, 268, 1321, 1040, 2696, 849, 8761, 602, 713, 4182, 568, 547, 1831, 513, 4182, 540, 15438, 543, 20577, 630, 3725, 341, 269, 476, 276, 281, 1015, 1040, 634, 19320, 616, 1932, 3875, 543, 547, 3638, 547, 11716, 269, 4906, 2441, 6045, 602, 1261, 729, 519, 3020, 3694, 689, 13140, 630, 11990, 476, 277, 281, 4029, 268, 3374, 1040, 2696, 814, 1128, 21114, 513, 1732, 26315, 998, 4906, 2441, 630, 3891, 321, 269, 476, 279, 281, 277, 1040, 898, 729, 8547, 593, 1732, 14767, 855, 729, 2877, 1317, 519, 13337, 538, 519, 1101, 26315, 729, 609, 519, 1004, 630, 3891, 321, 269, 476, 279, 281, 279, 1040, 2696, 1336, 13337, 609, 873, 1317, 789, 15189, 547, 23491, 13924, 269, 5840, 1705, 711, 2648, 519, 4031, 602, 2696, 5795, 585, 873, 547, 2661, 676, 543, 1317, 540, 741, 29134, 543, 2182, 12271, 267, 15584, 729, 2604, 323, 547, 2285, 4031, 602, 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 ]
[ 3758, 454, 1038, 2433, 12407, 1871, 281, 703, 454, 1038, 2433, 8873, 281, 1347, 454, 1038, 8173, 1038, 513, 815, 834, 27029, 1038, 536, 815, 7183, 692, 1038, 1247, 513, 269, 1170, 10628, 263, 2567, 1948, 28300, 13059, 16543, 10628, 454, 2018, 1582, 8807, 850, 269, 572, 2131, 263, 7407, 994, 2018, 513, 815, 1582, 8807, 850, 18667, 263, 272, 994, 2018, 1871, 6834, 476, 272, 1948, 27463, 618, 1871, 676, 476, 272, 454, 2018, 2119, 912, 3546, 536, 815, 513, 19709, 13892, 2891, 30913, 328, 5602, 2018, 4849, 1133, 545, 1712, 13286, 281, 1948, 604, 711, 606, 607, 857, 328, 3136, 8520, 454, 3546, 513, 815, 834, 834, 692, 1038, 2132, 536, 692, 825, 1219, 1930, 17572, 4311, 2187, 1038, 8173, 1038, 7046, 3758, 454, 1038, 2433, 8873, 281, 11711, 454, 1038, 8173, 1038, 2132, 1930, 4311, 8807, 850, 12949, 267, 834, 337, 321, 15419, 825, 1219, 2673, 17572, 4311, 2187, 1038, 8173, 1038, 19171, 3758, 454, 1038, 2433, 8873, 281, 7183, 454, 1038, 8173, 1038, 1582, 8807, 850, 25379, 10797, 5035, 8672, 10031, 825, 8173, 825, 4147, 602, 6585, 1535, 11971, 10974, 454, 825, 8173, 825, 1219, 6449, 8181, 9191, 1345, 267, 1535, 267, 586, 2187, 1038, 1582, 11859, 815, 1535, 454, 1038, 1582, 13885, 815, 586, 692, 5035, 11875, 15199, 3890, 1384, 825, 8173, 825, 4591, 1091, 1079, 2798, 538, 513, 3113, 543, 513, 8700, 454, 825, 29185, 825, 1219, 6449, 8181, 9191, 1345, 267, 533, 272, 267, 533, 273, 267, 530, 2187, 1038, 1582, 4877, 272, 815, 533, 272, 454, 1038, 1582, 4877, 273, 815, 533, 273, 454, 1038, 1582, 9884, 815, 530, 692, 825, 1219, 538, 292, 961, 15199, 4311, 267, 1448, 2187, 1038, 8173, 1038, 7024, 1630, 18978, 1871, 547, 2995, 596, 952, 1448, 568, 538, 713, 31753, 454, 1038, 2433, 12407, 1448, 281, 8672, 454, 1038, 2433, 8873, 281, 1630, 18978, 454, 1038, 8173, 1038, 546, 272, 815, 1582, 10947, 291, 2700, 8170, 10521, 32622, 4311, 4877, 272, 267, 1448, 994, 1038, 546, 273, 815, 1582, 10947, 291, 2700, 8170, 10521, 32622, 4311, 4877, 273, 267, 1448, 994, 1038, 2132, 630, 323, 272, 266, 323, 273, 264, 10922, 1582, 9884, 692, 825, 1219, 1205, 291, 2700, 8170, 10521, 32622, 4311, 267, 533, 272, 267, 533, 273, 2187, 1038, 8173, 1038, 5192, 519, 3845, 540, 1079, 2798, 454, 1038, 2433, 12407, 533, 272, 281, 8672, 454, 1038, 2433, 12407, 533, 273, 281, 8672, 454, 1038, 2433, 8873, 281, 10581, 454, 1038, 8173, 1038, 2132, 2979, 28460, 9230, 263, 335, 273, 11859, 910, 533, 272, 11859, 264, 1262, 273, 1341, 630, 335, 273, 13885, 910, 533, 272, 13885, 264, 1262, 273, 11723, 5035, 13340, 10031, 825, 8173, 825, 3115, 637, 757, 513, 13340, 609, 1079, 14248, 2354, 525, 538, 621, 454, 825, 29185, 825, 1219, 6449, 8181, 9191, 1345, 267, 31753, 272, 267, 31753, 273, 2187, 1038, 1582, 269, 749, 15199, 272, 815, 31753, 272, 454, 1038, 1582, 269, 749, 15199, 273, 815, 31753, 273, 454, 1038, 1582, 269, 20412, 622, 26213, 4590, 1038, 1582, 20120, 334, 815, 2782, 4517, 8248, 864, 303, 12065, 334, 305, 24655, 10831, 17653, 1807, 3890, 1948, 12690, 1297, 11718, 585, 1169, 13340, 692, 825, 1219, 5173, 26213, 4311, 2187, 1038, 8173, 1038, 6726, 919, 6302, 585, 4216, 543, 5036, 519, 8700, 543, 4463, 454, 1038, 2433, 8873, 281, 7183, 454, 1038, 8173, 1038, 1592, 8170, 311, 815, 1496, 1345, 269, 749, 15199, 272, 4877, 272, 11859, 267, 1582, 269, 749, 15199, 272, 4877, 273, 11859, 267, 1582, 269, 749, 15199, 273, 4877, 272, 11859, 267, 1582, 269, 749, 15199, 273, 4877, 273, 11859, 2639, 1038, 1592, 8170, 312, 815, 1496, 1345, 269, 749, 15199, 272, 4877, 272, 13885, 267, 1582, 269, 749, 15199, 272, 4877, 273, 13885, 267, 1582, 269, 749, 15199, 273, 4877, 272, 13885, 267, 1582, 269, 749, 15199, 273, 4877, 273, 13885, 2639, 1038, 1592, 8170, 310, 815, 1496, 1345, 269, 749, 15199, 272, 9884, 267, 1582, 269, 749, 15199, 273, 9884, 6540, 1038, 1295, 311, 815, 1295, 17338, 8170, 311, 994, 1038, 3193, 311, 815, 3193, 17338, 8170, 311, 994, 1038, 1295, 312, 815, 1295, 17338, 8170, 312, 994, 1038, 3193, 312, 815, 3193, 17338, 8170, 312, 994, 1038, 3193, 310, 815, 3193, 17338, 8170, 310, 2020, 1038, 3193, 310, 815, 3193, 310, 270, 273, 7531, 1038, 1535, 272, 815, 1295, 311, 910, 3193, 310, 454, 1038, 1535, 273, 815, 3193, 311, 1341, 3193, 310, 454, 1038, 586, 272, 815, 1295, 312, 910, 3193, 310, 454, 1038, 586, 273, 815, 3193, 312, 1341, 3193, 310, 692, 1038, 1582, 12500, 18847, 29381, 815, 8672, 3287, 272, 267, 586, 272, 264, 1948, 718, 2185, 10974, 1223, 581, 3773, 952, 2877, 692, 1038, 1582, 269, 7901, 310, 5954, 815, 1535, 273, 14870, 272, 454, 1038, 1582, 269, 7901, 3891, 697, 815, 586, 273, 3917, 272, 7531, 825, 1219, 12235, 291, 691, 4311, 2187, 1038, 8173, 1038, 717, 1115, 4351, 10974, 1138, 6819, 513, 546, 691, 1373, 16207, 538, 519, 4216, 454, 1038, 2433, 8873, 281, 8672, 454, 1038, 8173, 1038, 1535, 815, 1582, 20120, 334, 20179, 4590, 1038, 1948, 1820, 3287, 994, 1038, 1535, 815, 630, 343, 2608, 1582, 269, 7901, 310, 5954, 264, 1341, 1582, 12500, 18847, 29381, 11859, 454, 1038, 586, 815, 1582, 20120, 334, 20179, 4590, 1038, 1948, 1820, 12169, 994, 1038, 586, 815, 630, 344, 2608, 1582, 269, 7901, 3891, 697, 264, 1341, 1582, 12500, 18847, 29381, 13885, 454, 1038, 1948, 1820, 3287, 267, 586, 994, 1038, 2132, 8672, 3287, 11971, 2020, 825, 1219, 1205, 22704, 4311, 2187, 1038, 8173, 1038, 16849, 1858, 540, 519, 4216, 454, 1038, 2433, 8873, 281, 10581, 454, 1038, 8173, 1038, 2132, 1582, 269, 7901, 310, 5954, 2608, 1345, 269, 7901, 3891, 697, 692, 825, 1219, 12297, 1103, 13828, 292, 961, 2354, 525, 4311, 267, 533, 2187, 1038, 8173, 1038, 15681, 338, 596, 952, 513, 1448, 568, 538, 1312, 14248, 2354, 525, 454, 1038, 2433, 12407, 533, 281, 8672, 454, 1038, 2433, 8873, 281, 1630, 18978, 454, 1038, 8173, 1038, 2132, 1582, 269, 749, 15199, 272, 23357, 292, 961, 15199, 9638, 264, 543, 1582, 269, 749, 15199, 273, 23357, 292, 961, 15199, 9638, 9239, 3698, 5173, 22704, 8170, 7021, 331, 777, 263, 19327, 267, 524, 267, 562, 2187, 825, 1948, 1820, 263, 19327, 267, 524, 267, 562, 994, 825, 8173, 825, 6726, 919, 519, 7447, 540, 519, 1858, 540, 16937, 540, 1079, 14248, 2354, 525, 454, 825, 2433, 12407, 1858, 281, 10581, 910, 1858, 540, 4216, 454, 825, 2433, 12407, 524, 281, 703, 454, 825, 2433, 12407, 562, 281, 703, 454, 825, 2433, 8873, 281, 10581, 454, 825, 8173, 825, 2132, 1858, 2608, 630, 322, 14672, 2020, 3698, 12337, 7021, 331, 777, 8170, 292, 961, 15199, 263, 601, 272, 267, 1714, 273, 2187, 825, 8173, 825, 570, 1389, 1079, 14248, 2354, 525, 543, 1939, 525, 519, 1858, 936, 519, 16937, 454, 825, 2433, 12407, 1714, 272, 281, 11875, 15199, 454, 825, 2433, 12407, 1714, 273, 281, 11875, 15199, 454, 825, 2433, 8873, 281, 10581, 454, 825, 29185, 825, 4216, 815, 13340, 263, 601, 272, 267, 1714, 273, 2020, 825, 3586, 815, 476, 1911, 1822, 1948, 571, 1047, 713, 585, 6111, 454, 825, 524, 815, 476, 271, 1948, 15893, 540, 4351, 2798, 538, 519, 16937, 454, 825, 585, 1775, 538, 2039, 263, 6247, 656, 2187, 1038, 533, 815, 4216, 269, 628, 992, 291, 691, 4590, 1038, 952, 4216, 31715, 1103, 13828, 292, 961, 2354, 525, 9638, 2187, 2018, 524, 6834, 476, 272, 692, 825, 4216, 20120, 334, 25379, 17572, 3890, 1948, 12803, 538, 4216, 1590, 581, 6806, 12799, 692, 825, 2132, 5173, 22704, 8170, 7021, 331, 777, 6357, 2135, 10947, 22704, 19572, 524, 267, 3586, 9239, 3698, 1292, 3890, 1384, 825, 533, 272, 815, 8672, 263, 271, 267, 271, 994, 825, 533, 273, 815, 8672, 263, 271, 267, 271, 994, 825, 533, 274, 815, 8672, 263, 271, 267, 271, 994, 825, 533, 275, 815, 8672, 263, 271, 267, 271, 994, 825, 1714, 272, 815, 11875, 15199, 9638, 272, 267, 533, 273, 267, 476, 273, 994, 825, 1714, 273, 815, 11875, 15199, 9638, 274, 267, 533, 275, 267, 476, 275, 2020, 825, 16937, 815, 12337, 7021, 331, 777, 8170, 292, 961, 15199, 263, 601, 272, 267, 1714, 273, 2020, 825, 1820, 263, 1478, 331, 777, 2020, 825, 1948, 1948, 2690, 1629, 334, 5301, 454, 825, 1948, 454, 825, 1948, 533, 272, 815, 8672, 263, 273, 267, 476, 274, 994, 825, 1948, 533, 273, 815, 8672, 263, 274, 267, 476, 275, 994, 825, 1948, 533, 274, 815, 8672, 263, 273, 267, 476, 273, 994, 825, 1948, 533, 275, 815, 8672, 263, 274, 267, 476, 276, 994, 825, 1948, 1714, 272, 815, 11875, 15199, 9638, 272, 267, 533, 273, 267, 476, 275, 994, 825, 1948, 1714, 273, 815, 11875, 15199, 9638, 274, 267, 533, 275, 267, 476, 277, 994, 825, 1948, 16937, 815, 12337, 7021, 331, 777, 8170, 292, 961, 15199, 263, 601, 272, 267, 1714, 273, 994, 825, 1948, 454, 825, 1948, 1820, 263, 1478, 331, 777, 2020, 692, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1292, 4590, 0, 26611, 23591, 24800, 19841, 341, 9226, 692, 18851, 6742, 1014, 5522, 622, 879, 1362, 692, 825, 2422, 676, 519, 23047, 1982, 547, 5581, 513, 29415, 454, 20701, 1029, 10461, 1029, 815, 1412, 306, 639, 534, 3244, 7055, 1029, 16942, 1029, 815, 834, 4513, 287, 323, 3464, 639, 753, 574, 3820, 4840, 1029, 322, 9728, 1029, 815, 834, 1001, 277, 19626, 3244, 4840, 1029, 997, 1619, 1029, 815, 834, 300, 3951, 17821, 5016, 5228, 12004, 1014, 318, 1410, 8526, 1104, 8555, 704, 5522, 622, 879, 454, 5814, 556, 692, 5035, 6742, 1014, 5522, 622, 879, 10031, 825, 1219, 6449, 8181, 9191, 1345, 267, 3403, 23952, 2187, 1038, 8173, 2018, 2433, 12407, 7944, 281, 589, 5569, 609, 1535, 11971, 10974, 540, 1283, 1318, 7944, 540, 6742, 1014, 29415, 454, 1038, 8173, 1038, 1948, 18391, 585, 513, 1297, 16543, 10628, 1297, 454, 1038, 1948, 901, 786, 6474, 476, 271, 2676, 1038, 6474, 318, 28128, 815, 556, 6230, 2255, 16868, 262, 317, 7268, 323, 266, 9385, 338, 266, 7268, 323, 266, 7751, 3299, 3403, 23952, 2020, 1038, 952, 6474, 318, 28128, 568, 7183, 10778, 2018, 6318, 8555, 704, 5522, 622, 879, 2891, 19152, 10974, 1590, 581, 1079, 2318, 9981, 5602, 1038, 3116, 912, 2018, 1582, 27982, 13448, 815, 703, 9852, 2255, 318, 28128, 3052, 4981, 263, 272, 4917, 2018, 1582, 27982, 14729, 815, 703, 9852, 2255, 318, 28128, 3052, 4981, 263, 273, 264, 9239, 825, 1219, 1205, 13448, 4311, 2187, 1038, 2132, 1582, 27982, 13448, 692, 825, 1219, 1205, 14729, 4311, 2187, 1038, 2132, 1582, 27982, 14729, 692, 825, 1219, 568, 318, 719, 2515, 4311, 267, 1591, 2187, 1038, 8173, 1038, 16849, 3020, 952, 606, 27976, 18396, 15453, 568, 3544, 519, 6742, 1014, 5522, 622, 879, 454, 1038, 8173, 1038, 952, 1591, 314, 271, 316, 3436, 1582, 27982, 13448, 610, 1591, 314, 272, 316, 3436, 1582, 27982, 14729, 610, 1591, 314, 271, 316, 2999, 476, 271, 610, 1591, 314, 272, 316, 2999, 476, 271, 912, 2018, 2132, 6936, 454, 1038, 3116, 912, 2018, 2132, 8771, 692, 825, 1219, 568, 318, 1231, 728, 4311, 267, 1591, 2187, 1038, 8173, 1038, 16849, 3020, 952, 606, 27976, 18396, 15453, 568, 3330, 519, 6742, 1014, 5522, 622, 879, 454, 1038, 2433, 12407, 1591, 281, 1592, 540, 1079, 9981, 454, 1038, 2433, 8873, 281, 29491, 454, 1038, 8173, 1038, 2132, 711, 1582, 18994, 318, 719, 2515, 263, 3250, 264, 0, 16482, 258, 1948, 7531, 3698, 5493, 785, 668, 27182, 2187, 825, 2119, 912, 1038, 2262, 815, 2262, 11468, 18737, 272, 2639, 825, 4849, 7392, 13286, 912, 1038, 1820, 2891, 296, 14892, 8885, 1152, 952, 606, 9868, 4523, 5602, 1038, 1820, 2891, 2791, 666, 1405, 1826, 1152, 12673, 5602, 825, 3116, 912, 1038, 1820, 2891, 296, 1175, 14892, 8885, 1152, 952, 1100, 17756, 4523, 5602, 1038, 1820, 27182, 994, 825, 6368, 912, 1038, 1820, 2891, 296, 2141, 14892, 8885, 257, 9239, 3698, 2196, 10031, 825, 2262, 815, 3403, 2891, 8923, 267, 1826, 513, 2262, 281, 19515, 825, 5493, 785, 668, 27182, 9239, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 2196, 3890, 0, 16482, 258, 1948, 7531, 3698, 27708, 28840, 2187, 825, 27708, 8217, 815, 1496, 328, 585, 1775, 538, 2039, 263, 272, 267, 476, 6200, 264, 952, 1297, 260, 328, 2652, 476, 271, 2639, 825, 2132, 27708, 8217, 7531, 3698, 2196, 10031, 825, 1003, 815, 3403, 2891 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 256, 7324, 519, 1034, 12219, 25438, 27482, 538, 519, 7733, 540, 7581, 641, 21358, 11313, 521, 10261, 548, 568, 476, 13136, 7273, 1572, 513, 11783, 5080, 5865, 7466, 513, 1554, 547, 25579, 880, 922, 2011, 3761, 476, 2764, 9748, 17534, 267, 543, 835, 540, 519, 2249, 256, 20668, 267, 723, 513, 3109, 10359, 540, 17207, 593, 922, 896, 2694, 616, 4158, 3039, 543, 17953, 344, 267, 851, 256, 13207, 1456, 1813, 547, 513, 1448, 543, 519, 9552, 540, 922, 3068, 267, 922, 269, 1744, 3547, 540, 6960, 519, 27000, 15483, 520, 5622, 21049, 2249, 538, 519, 15599, 2089, 1149, 6805, 547, 20550, 698, 520, 6532, 538, 519, 1930, 907, 18724, 880, 10253, 609, 19481, 2699, 8728, 538, 19248, 531, 8235, 538, 10627, 836, 553, 19435, 2094, 646, 729, 5722, 4458, 6040, 269, 901, 3662, 616, 519, 1710, 17962, 543, 519, 645, 16656, 16356, 568, 835, 540, 519, 23511, 4706, 896, 2694, 723, 606, 10538, 6438, 12094, 4098, 689, 519, 18723, 6438, 10538, 15429, 540, 17207, 581, 256, 5871, 6177, 1336, 538, 7414, 7297, 568, 4867, 12219, 676, 7226, 9552, 2168, 1862, 634, 1930, 7909, 281, 1336, 538, 824, 2818, 540, 922, 2067, 4104, 7226, 547, 476, 5038, 3952, 538, 3259, 602, 269, 700, 17999, 4079, 540, 713, 1826, 540, 14147, 2356, 3029, 10125, 602, 8831, 909, 547, 476, 278, 269, 273, 3952, 538, 3259, 540, 3646, 256, 1656, 946, 538, 6864, 926, 4548, 267, 2121, 27712, 616, 849, 3109, 609, 513, 2603, 6006, 1512, 543, 2356, 1788, 856, 2072, 519, 256, 1772, 4867, 7334, 2094, 476, 2735, 276, 607, 513, 9691, 13155, 543, 568, 9286, 607, 513, 2249, 602, 8329, 269, 1635, 10821, 543, 6694, 2244, 21757, 616, 519, 8638, 540, 27000, 21049, 630, 256, 1744, 10225, 2443, 543, 519, 1964, 540, 922, 2012, 540, 4006, 29647, 24914, 543, 519, 6366, 32567, 13855, 513, 5634, 1498, 269, 918, 326, 1247, 2937, 9038, 9260, 1063, 476, 3374, 547, 476, 2412, 4846, 18057, 321, 1571, 723, 8645, 11954, 3352, 2478, 1247, 8951, 723, 15454, 1862, 6904, 972, 568, 513, 2249, 540, 5152, 6177, 602, 568, 21049, 547, 13372, 267, 547, 519, 7771, 519, 269, 13206, 527, 1846, 941, 5828, 883, 7573, 4610, 547, 13918, 519, 3395, 3747, 585, 7031, 538, 519, 1592, 256, 476, 8660, 269, 277, 10264, 798, 557, 607, 7925, 630, 667, 2894, 305, 589, 302, 476, 1220, 278, 268, 4905, 3738, 1272, 540, 513, 24125, 539, 1677, 611, 561, 19123, 2249, 269, 29838, 568, 1507, 2614, 547, 3514, 538, 519, 1482, 1858, 519, 2699, 268, 1203, 539, 267, 256, 3657, 811, 12220, 602, 1590, 581, 1500, 538, 7754, 599, 6532, 607, 1134, 607, 1614, 1862, 476, 2918, 6279, 538, 3259, 6592, 1286, 777, 864, 568, 827, 476, 1626, 269, 276, 4699, 538, 21049, 2249, 538, 519, 15599, 2089, 1149, 873, 568, 711, 9672, 610, 1507, 2516, 5726, 1235, 256, 769, 3738, 543, 789, 9260, 12341, 689, 476, 13647, 547, 476, 16318, 10101, 645, 545, 565, 18686, 519, 7345, 31703, 10598, 4592, 11702, 13463, 691, 513, 256, 12984, 9247, 16856, 543, 21379, 28534, 20034, 720, 593, 922, 2699, 1592, 568, 19040, 607, 513, 2249, 602, 568, 6849, 7226, 2807, 654, 902, 568, 513, 1360, 10477, 6177, 568, 7226, 2530, 607, 5458, 6810, 540, 519, 476, 2568, 338, 267, 855, 4238, 256, 26636, 1176, 10253, 1106, 513, 25144, 4158, 5887, 1537, 4806, 2249, 786, 2268, 909, 547, 476, 3199, 23511, 267, 1141, 621, 568, 5156, 547, 723, 5835, 2960, 593, 519, 594, 30002, 2699, 1592, 540, 13155, 1592, 1862, 16629, 4302, 6441, 612, 12014, 2600, 540, 519, 16277, 850, 18482, 616, 7396, 693, 519, 8545, 1439, 540, 519, 8235, 28011, 14117, 9634, 593, 741, 19758, 267, 899, 741, 5256, 13413, 3646, 267, 519, 10125, 5555, 883, 1862, 634, 31934, 12159, 540, 922, 7387, 8023, 267, 543, 2941, 788, 16104, 12155, 547, 1303, 4120, 906, 538, 10068, 10591, 543, 6928, 907, 4706, 1920, 540, 5017, 538, 519, 13372, 713, 10627, 568, 849, 21049, 2249, 538, 519, 15599, 2089, 1149, 676, 513, 15454, 880, 22554, 2059, 256, 634, 12136, 540, 519, 2025, 7733, 616, 2451, 267, 513, 2110, 8405, 267, 1247, 5104, 32596, 1412, 17207, 616, 3109, 2274, 344, 974, 269, 634, 13557, 540, 3047, 1412, 338, 3662, 543, 2030, 1272, 543, 3833, 5394, 2699, 4593, 2642, 1394, 538, 476, 1960, 277, 519, 1862, 20002, 8858, 513, 2178, 4806, 540, 1114, 18707, 540, 4544, 19040, 607, 606, 13155, 2249, 538, 519, 6532, 938, 269, 16685, 267, 799, 1362, 5809, 713, 14147, 607, 606, 13155, 2249, 7387, 540, 713, 2249, 982, 1530, 328, 16385, 616, 6353, 519, 1862, 8033, 5224, 547, 7771, 267, 1082, 27000, 2189, 2249, 616, 26870, 538, 24811, 789, 2482, 741, 5798, 593, 519, 4388, 1256, 269, 769, 27584, 8500, 534, 543, 10598, 4592, 543, 7754, 599, 23243, 17972, 1607, 1200, 517, 814, 513, 2603, 540, 6505, 2699, 17207, 1472, 922, 3750, 799, 1862, 4856, 1023, 585, 6864, 926, 4548, 789, 2356, 2661, 538, 2620, 21369, 7297, 267, 12084, 267, 1256, 256, 10606, 1851, 1346, 538, 519, 1482, 1858, 616, 4988, 538, 15454, 880, 6960, 11954, 9663, 1336, 10760, 21088, 855, 2053, 256, 2201, 1585, 10195, 838, 1149, 2356, 1788, 856, 2072, 1657, 519, 3774, 267, 596, 666, 512, 1513, 1512, 269, 1656, 10598, 4592, 543, 7754, 599, 476, 278, 2600, 540, 519, 3908, 3148, 1141, 519, 6177, 1412, 338, 7771, 256, 7490, 9337, 547, 2057, 25749, 281, 16532, 31300, 337, 2593, 270, 31688, 657, 270, 25218, 320, 20624, 270, 27628, 8660, 277, 5780, 1082, 21049, 2249, 585, 667, 650, 29646, 576, 2801, 616, 667, 650, 523, 328, 7469, 559, 2089, 514, 18424, 667, 650, 523, 328, 732, 858, 619, 3832, 573, 807, 1862, 1261, 6758, 543, 4158, 9634, 593, 922, 896, 2694, 723, 606, 10538, 6438, 12094, 689, 1862, 18564, 3109, 9634, 593, 922, 9343, 540, 10253, 267, 519, 10363, 3165, 568, 24222, 29622, 946, 519, 1297, 540, 20097, 829, 3045, 636, 741, 11876, 7174, 723, 3982, 24795, 1862, 15147, 922, 11563, 267, 519, 9919, 25975, 28278, 6477, 267, 9040, 1195, 13669, 684, 517, 267, 25234, 11294, 267, 543, 667, 650, 523, 658, 15120, 517, 16772, 529, 11702, 2295, 267, 5095, 269, 2142, 12341, 1063, 476, 277, 3583, 547, 476, 274, 267, 4968, 8023, 267, 543, 1256, 538, 519, 2818, 540, 519, 13372, 476, 1321, 4699, 14854, 1862, 1546, 518, 15013, 596, 666, 1294, 3362, 782, 1472, 519, 5887, 3982, 7759, 3022, 8260, 1043, 1776, 21049, 2249, 616, 543, 1862, 589, 25144, 4158, 5887, 1537, 4806, 2687, 547, 519, 21049, 2249, 538, 519, 15599, 2089, 1149, 543, 538, 519, 2681, 907, 12181, 7028, 513, 5542, 540, 5017, 538, 519, 3552, 1412, 338, 2338, 1851, 538, 24222, 19883, 543, 1646, 540, 17207, 1472, 519, 4104, 15944, 267, 2356, 16304, 593, 4054, 269, 3509, 1114, 1480, 3527, 267, 2436, 18532, 610, 16662, 30102, 267, 723, 513, 17953, 539, 6960, 2681, 20034, 720, 568, 7833, 269, 1677, 1699, 3466, 267, 972, 568, 1869, 513, 2518, 7771, 538, 741, 1592, 1862, 4706, 20034, 720, 568, 811, 7833, 982, 824, 2249, 3769, 21049, 2249, 538, 519, 15599, 2089, 1149, 519, 1158, 609, 3039, 10253, 2212, 543, 8405, 543, 256, 8058, 602, 1325, 557, 641, 7702, 608, 26118, 320, 723, 513, 1507, 23636, 949, 1869, 581, 4092, 538, 5096, 7776, 31970, 19435, 267, 2807, 267, 1247, 5104, 32596, 1412, 17207, 616, 3109, 3747, 585, 7031, 538, 519, 8832, 21571, 616, 538, 256, 774, 9130, 267, 519, 27000, 26267, 26449, 568, 21049, 547, 519, 7372, 2530, 540, 922, 1560, 827, 256, 7754, 599, 10195, 5835, 538, 2681, 547, 7771, 30900, 3738, 543, 666, 1332, 909, 547, 1614, 3952, 538, 543, 256, 1656, 8405, 267, 543, 1256, 538, 519, 13372, 543, 568, 19394, 713, 13131, 6353, 1862, 1656, 2067, 8249, 630, 667, 2894, 305, 3738, 607, 7925, 630, 667, 2894, 305, 3738, 607, 7925, 4158, 9634, 593, 519, 9018, 8728, 540, 269, 0, 288, 1375, 2958, 919, 11148, 547, 7771, 3226, 585, 12753, 936, 476, 2004, 3623, 9366, 1696, 620, 277, 11943, 602, 519, 6099, 10682, 6871, 538, 9160, 25875, 6180, 1513, 585, 27960, 1500, 540, 16760, 17375, 2326, 1131, 581, 476, 1428, 713, 3017, 538, 2773, 949, 849, 4096, 593, 519, 1826, 540, 13381, 14919, 1031, 543, 538, 519, 2090, 5340, 865, 2484, 6180, 1513, 16638, 11431, 6732, 23680, 589, 24606, 454, 273, 21432, 14919, 281, 3684, 16760, 25342, 5833, 689, 513, 2199, 26755, 729, 1031, 607, 21432, 14919, 763, 3601, 540, 519, 21432, 14919, 616, 3254, 538, 3349, 476, 3374, 333, 7825, 273, 10682, 540, 5386, 14919, 676, 4853, 3653, 799, 729, 3152, 982, 519, 6671, 6405, 763, 735, 4809, 4222, 4389, 3564, 476, 1789, 10682, 563, 273, 5386, 14919, 519, 521, 10079, 2079, 585, 5386, 14919, 6829, 513, 1710, 8864, 29870, 540, 476, 273, 11854, 6900, 8904, 540, 5386, 14919, 568, 476, 2537, 21432, 14919, 519, 21432, 14919, 1031, 538, 6405, 3575, 568, 540, 22194, 2450, 540, 476, 736, 6515, 27960, 609, 607, 24594, 8904, 540, 476, 2190, 8038, 11849, 8038, 11849, 568, 513, 3109, 29656, 5258, 21225, 4611, 689, 519, 563, 278, 5386, 27960, 5536, 540, 5386, 27960, 1780, 998, 476, 275, 7197, 4122, 1031, 5386, 27960, 616, 5070, 16760, 6149, 11849, 610, 524, 5407, 543, 1147, 7288, 279, 21432, 27960, 21432, 27960, 616, 17477, 593, 476, 275, 288, 1375, 2958, 919, 519, 2450, 540, 4171, 9325, 568, 8273, 982, 476, 275, 563, 1103, 519, 8047, 1449, 6671, 5386, 14919, 729, 8719, 693, 476, 1911, 10682, 1377, 288, 2698, 540, 476, 1240, 18695, 941, 5641, 23174, 543, 7318, 763, 4222, 1646, 540, 519, 6405, 30012, 5627, 4212, 7387, 27960, 729, 3379, 547, 602, 540, 6671, 6405, 609, 5070, 607, 5386, 14919, 563, 288, 1375, 2958, 919, 2874, 540, 5386, 27960, 543, 21432, 27960, 23744, 14919, 1447, 982, 476, 275, 4037, 6515, 568, 9286, 607, 5386, 14919, 763, 2442, 543, 1034, 9053, 2326, 1031, 607, 5386, 27960, 616, 5757, 5070, 543, 16760, 10007, 563, 288, 1375, 2958, 919, 11148, 547, 7771, 3226, 585, 12753, 936, 476, 2004, 277, 11943, 602, 519, 6099, 10682, 6871, 538, 9160, 25875, 6180, 1513, 585, 27960, 1500, 540, 16760, 17375, 2326, 1131, 581, 476, 1428, 563, 288, 1375, 2958, 919, 281, 2067, 14919, 16760, 6405, 543, 4401, 4614, 601, 19460, 1793, 698, 9783, 23891, 4231, 476, 1001, 278, 293, 710, 14919, 585, 3787, 6058, 748, 22338, 23399, 3040, 546, 275, 4200, 273, 268, 1691, 324, 272, 1107, 4224, 547, 581, 1031, 585, 11761, 1852, 563, 2304, 8097, 7634, 593, 544, 1789, 6405, 609, 9864, 10682, 540, 23430, 540, 3540, 4702, 1743, 8138, 9346, 2699, 11276, 20576, 540, 2029, 737, 1248, 333, 565, 543, 31137, 288, 1353, 593, 519, 4222, 540, 6405, 1210, 16760, 6149, 7452, 607, 5386, 14919, 563, 2026, 16931, 30704, 2326, 971, 607, 18574, 16760, 6149, 543, 5070, 10870, 12838, 14919, 568, 835, 540, 519, 1898, 5820, 6306, 540, 1216, 543, 9160, 538, 6405, 2504, 763, 1152, 4756, 2808, 538, 713, 1353, 729, 519, 2019, 636, 13011, 10682, 476, 271, 476, 1839, 476, 2004, 476, 4037, 543, 476, 1911, 540, 6149, 14919, 676, 15839, 14919, 563, 22349, 332, 1826, 562, 1093, 3960, 565, 3570, 729, 1031, 547, 5372, 2823, 1633, 9160, 20332, 5757, 5070, 729, 1031, 607, 5386, 14919, 290, 6350, 1117, 25342, 540, 22194, 2450, 476, 736, 7825, 729, 1031, 538, 6721, 6405, 21595, 332, 17830, 16115, 941, 5833, 689, 513, 13869, 17830, 2504, 13452, 693, 705, 3120, 538, 1309, 701, 5032, 5445, 941, 1166, 19813, 609, 1216, 547, 4894, 23606, 543, 1287, 12015, 1354, 946, 563, 13971, 476, 2420, 476, 1708, 271, 519, 3653, 4837, 729, 946, 538, 519, 4998, 543, 21432, 27960, 10682, 538, 6405, 763, 5223, 540, 4837, 27960, 476, 4200, 10682, 609, 3039, 14569, 540, 21432, 27960, 693, 1079, 555, 8674, 476, 272, 281, 273, 281, 274, 610, 3791, 763, 6405, 3575, 1374, 10682, 609, 513, 3791, 21432, 14919, 602, 729, 519, 1034, 5078, 585, 20808, 2326, 585, 519, 3601, 563, 289, 1180, 532, 1063, 27960, 543, 9160, 2250, 525, 538, 6405, 476, 30500, 4453, 272, 2566, 3613, 1778, 1894, 585, 9160, 13594, 14919, 543, 6405, 476, 7761, 7041, 540, 15013, 14919, 18695, 476, 1911, 6515, 476, 1911, 6515, 476, 1911, 6515, 540, 14680, 543, 25342, 941, 5423, 585, 7485, 513, 851, 1449, 563, 3528, 1309, 29097, 476, 274, 26561, 609, 476, 1015, 476, 271, 5386, 14919, 10682, 9288, 22817, 3601, 540, 4195, 25342, 14919, 616, 5941, 24078, 2938, 538, 519, 13381, 27960, 16760, 693, 606, 2038, 2085, 563, 10870, 12838 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 13292, 3592, 7357, 689, 519, 15977, 269, 5295, 543, 5480, 12485, 941, 1200, 9342, 282, 519, 3259, 543, 10605, 540, 1200, 2666, 560, 15809, 941, 6909, 269, 654, 1571, 729, 711, 2523, 3728, 610, 562, 574, 1076, 267, 2705, 267, 543, 17837, 945, 17712, 7134, 689, 1346, 6117, 15377, 1223, 581, 3811, 269, 700, 1263, 6352, 1705, 711, 723, 654, 1571, 262, 1379, 267, 543, 1352, 4682, 547, 519, 2121, 811, 1419, 267, 855, 1200, 4222, 729, 538, 1200, 2702, 547, 1747, 519, 3440, 269, 769, 3929, 2474, 267, 1247, 700, 1263, 6352, 729, 3810, 8401, 543, 1419, 16802, 883, 17229, 1282, 513, 6474, 267, 654, 1571, 729, 1634, 607, 834, 28012, 7323, 623, 20269, 8131, 257, 585, 1200, 3929, 1852, 269, 769, 7041, 585, 519, 6474, 693, 2052, 5886, 267, 2027, 6264, 1056, 338, 941, 3710, 267, 543, 476, 274, 267, 1822, 4715, 2209, 23953, 538, 689, 1472, 519, 1158, 269, 1879, 654, 1571, 4503, 547, 700, 1263, 6352, 476, 277, 268, 273, 267, 476, 277, 268, 271, 267, 513, 1208, 8270, 908, 14710, 267, 1082, 5433, 602, 519, 1977, 1185, 1500, 519, 14603, 12161, 540, 3843, 547, 856, 6253, 1074, 1200, 3943, 18545, 267, 4171, 21802, 6438, 4640, 1223, 581, 607, 14042, 607, 1200, 18942, 23258, 563, 2026, 728, 689, 6307, 540, 1855, 1188, 267, 28370, 535, 1177, 2740, 936, 1200, 267, 543, 5215, 14095, 883, 5749, 553, 547, 4585, 1200, 1404, 269, 2755, 1034, 5716, 1185, 547, 1491, 519, 5721, 267, 1352, 887, 1372, 547, 1200, 4663, 23788, 538, 1929, 748, 1149, 267, 543, 1283, 9858, 642, 1221, 609, 835, 1776, 547, 6752, 1200, 17281, 5957, 269, 1809, 700, 1263, 6352, 729, 513, 1950, 543, 3006, 13249, 4137, 267, 4625, 13856, 676, 1200, 3237, 269, 1773, 698, 4240, 609, 4057, 1072, 267, 1352, 729, 13029, 543, 7099, 344, 269, 2701, 1223, 521, 592, 330, 267, 7485, 856, 540, 13292, 267, 543, 14922, 11999, 24921, 269, 2701, 1419, 10645, 4576, 538, 1931, 547, 1205, 856, 540, 513, 6474, 1152, 547, 979, 15472, 602, 3781, 269, 18320, 1419, 267, 971, 13685, 1500, 4395, 2985, 3377, 5001, 269, 634, 7928, 536, 8083, 540, 1857, 1728, 3122, 807, 15983, 1094, 5529, 1200, 2168, 543, 3929, 4222, 267, 855, 950, 700, 1263, 6352, 7902, 593, 5480, 1352, 759, 5034, 1169, 1448, 20639, 1996, 1200, 269, 769, 454, 2452, 532, 267, 1352, 729, 5462, 2760, 547, 2285, 606, 10759, 267, 543, 519, 24921, 6068, 621, 563, 4263, 519, 4463, 540, 1200, 4876, 267, 1082, 941, 6537, 547, 519, 2856, 540, 513, 6474, 1063, 700, 1263, 6352, 543, 570, 843, 523, 267, 519, 12081, 532, 5256, 17281, 5182, 269, 700, 1263, 6352, 2899, 5129, 513, 2259, 6474, 609, 570, 843, 523, 267, 538, 799, 1352, 729, 27333, 29041, 267, 855, 950, 2262, 540, 1200, 14710, 729, 682, 8898, 547, 519, 2046, 1352, 729, 9663, 1190, 269, 700, 1263, 6352, 17792, 602, 1352, 1185, 1044, 3843, 547, 1404, 1200, 1655, 267, 543, 621, 2968, 2312, 602, 972, 1131, 2760, 581, 513, 1483, 6474, 563, 5475, 519, 654, 12494, 1194, 517, 535, 5362, 1723, 538, 476, 4572, 277, 267, 609, 700, 1263, 6352, 693, 519, 4463, 540, 1200, 7060, 267, 1352, 9307, 1200, 15639, 689, 23153, 6735, 547, 1404, 607, 513, 3318, 543, 9896, 609, 8176, 595, 269, 623, 1803, 547, 4663, 519, 772, 2529, 269, 585, 513, 3126, 540, 14266, 13292, 269, 1635, 519, 942, 1352, 19622, 538, 519, 3735, 476, 4572, 271, 338, 267, 1352, 1185, 1500, 513, 19539, 269, 11531, 267, 689, 476, 4489, 280, 547, 476, 4572, 277, 267, 519, 1296, 540, 1200, 23153, 12081, 267, 1352, 1185, 2699, 18249, 519, 1909, 540, 519, 4775, 19002, 269, 6468, 23594, 941, 1631, 4397, 547, 6542, 1390, 2168, 23258, 267, 543, 1256, 547, 1219, 344, 6671, 3029, 540, 1514, 2623, 543, 10571, 269, 2201, 519, 10470, 267, 1101, 543, 19466, 267, 606, 2438, 4730, 1185, 1044, 18385, 6692, 1386, 563, 5475, 1200, 15639, 689, 3318, 6735, 267, 700, 1263, 6352, 8547, 513, 17281, 1153, 1141, 1352, 6026, 14232, 5716, 269, 2701, 729, 16042, 476, 1789, 267, 543, 519, 8515, 540, 1200, 4876, 4797, 547, 1491, 922, 17167, 269, 700, 1263, 6352, 1185, 2760, 1044, 2635, 267, 4352, 2436, 713, 729, 1813, 547, 3929, 25359, 610, 513, 4617, 11156, 267, 1100, 835, 1223, 581, 1978, 269, 3487, 540, 1200, 7965, 949, 723, 6565, 4364, 689, 2760, 2348, 1044, 4847, 547, 1020, 607, 513, 1863, 543, 4830, 2937, 269, 4495, 267, 950, 30554, 22828, 781, 3993, 729, 20402, 676, 1065, 13024, 827, 1946, 519, 19002, 1185, 2899, 1586, 8854, 15472, 16172, 1310, 11198, 532, 689, 513, 6735, 593, 12406, 540, 2192, 1072, 267, 1323, 9820, 700, 1263, 6352, 5143, 873, 267, 834, 306, 15120, 22828, 1609, 1071, 638, 8291, 4298, 329, 2293, 257, 630, 306, 15120, 22828, 568, 2141, 513, 751, 848, 1040, 769, 16468, 267, 1200, 1072, 1705, 711, 6454, 269, 12846, 267, 950, 1352, 5747, 540, 829, 5371, 1190, 17350, 267, 593, 5147, 476, 275, 267, 476, 4350, 279, 267, 693, 2085, 476, 4375, 267, 1082, 941, 9575, 676, 9983, 563, 5472, 540, 5333, 22378, 2740, 30554, 22828, 700, 1263, 6352, 269, 4173, 24133, 729, 3592, 513, 1533, 8317, 269, 3751, 29775, 822, 966, 540, 13785, 267, 476, 3199, 1296, 2025, 543, 513, 17281, 27423, 267, 2366, 519, 16528, 14012, 547, 2099, 1864, 269, 5333, 781, 30856, 3798, 537, 731, 18243, 611, 1512, 13984, 267, 607, 1705, 1585, 26110, 543, 2818, 540, 2229, 269, 14639, 16907, 582, 571, 267, 10496, 13196, 645, 2607, 12061, 267, 24527, 20121, 3153, 879, 267, 543, 4168, 645, 748, 338, 639, 1765, 718, 4583, 3943, 17281, 5716, 1765, 3430, 2105, 519, 24133, 2527, 693, 519, 5939, 540, 3502, 516, 667, 877, 632, 561, 262, 10112, 558, 1632, 269, 634, 772, 2529, 269, 4521, 333, 570, 12447, 5948, 729, 6719, 676, 21651, 3751, 2006, 267, 5810, 23953, 538, 689, 1472, 519, 1158, 267, 543, 700, 1263, 6352, 781, 17281, 10453, 3357, 547, 741, 4116, 781, 24133, 2527, 269, 634, 1554, 1354, 519, 24133, 267, 5147, 476, 276, 267, 476, 4350, 279, 267, 8496, 877, 700, 1263, 6352, 729, 711, 1881, 602, 30554, 22828, 1131, 581, 13752, 519, 6181, 542, 540, 27254, 267, 543, 513, 18533, 729, 9709, 538, 1200, 8956, 693, 519, 853, 1228, 17029, 663, 12275, 4592, 538, 589, 1393, 340, 559, 267, 5333, 269, 2701, 729, 12617, 538, 519, 1920, 4729, 538, 12142, 14114, 340, 523, 30895, 563, 4263, 1200, 2669, 267, 30554, 22828, 700, 1263, 6352, 729, 2808, 547, 581, 519, 6574, 4807, 17281, 6345, 540, 782, 942, 269, 6736, 519, 11944, 540, 2663, 17281, 1390, 338, 971, 607, 18281, 661, 3200, 267, 20152, 8055, 7040, 267, 6008, 742, 328, 3400, 325, 267, 1325, 1492, 320, 18582, 5459, 267, 6742, 2088, 18937, 7806, 559, 13960, 2073, 543, 9291, 773, 14639, 3751, 2073, 1200, 3409, 547, 519, 2140, 814, 10355, 1044, 13934, 282, 1100, 835, 814, 6913, 519, 14345, 540, 11802, 602, 700, 1263, 6352, 4371, 269, 769, 3592, 476, 4968, 13292, 267, 607, 1312, 606, 23153, 543, 513, 3318, 267, 1352, 4503, 1152, 2947, 2053, 267, 513, 2594, 602, 3788, 796, 3225, 4705, 269, 769, 476, 3192, 275, 267, 5756, 1310, 1200, 2669, 267, 1352, 729, 20366, 519, 6574, 4807, 6345, 538, 17281, 676, 606, 3486, 8470, 540, 7328, 1873, 761, 619, 267, 8391, 811, 16018, 982, 654, 1571, 267, 18582, 5459, 267, 610, 3751, 563, 289, 816, 534, 267, 5395, 613, 269, 2274, 22505, 1696, 8350, 12339, 6996, 269, 8303, 281, 5487, 7305, 681, 27475, 267, 476, 2735, 272, 563, 290, 5064, 267, 7917, 808, 269, 4279, 6468, 26465, 525, 540, 519, 476, 736, 628, 11416, 269, 16962, 267, 12135, 281, 5062, 293, 541, 1633, 267, 476, 1960, 272, 563, 32295, 577, 13232, 267, 918, 553, 25504, 269, 5800, 20137, 3768, 9324, 330, 4614, 710, 269, 21499, 281, 918, 4669, 2677, 577, 7638, 25419, 267, 476, 3422, 273, 563, 8777, 548, 10458, 267, 32632, 269, 634, 31001, 543, 519, 1977, 21756, 281, 634, 9452, 540, 30554, 22828, 700, 1263, 6352, 543, 24796, 654, 1571, 269, 12924, 281, 10228, 2160, 4964, 267, 476, 2735, 279, 563, 294, 3234, 338, 2917, 267, 4024, 269, 476, 6200, 4279, 652, 26465, 525, 540, 519, 11416, 269, 12924, 281, 12844, 24521, 7734, 267, 476, 2735, 278, 563, 257, 6624, 570, 12447, 25578, 693, 700, 1263, 6352, 6796, 2437, 538, 634, 1715, 3840, 8648, 269, 5147, 476, 278, 267, 476, 4350, 279, 267, 533, 269, 476, 866, 563, 763, 1715, 3840, 8648, 269, 834, 300, 331, 548, 269, 700, 1263, 6352, 1701, 5147, 476, 276, 267, 476, 4350, 279, 267, 533, 269, 476, 1626, 563, 257, 4572, 271, 781, 19716, 10060, 4477, 323, 4279, 652, 17451, 538, 570, 12447, 2437, 538, 634, 1715, 3840, 8648, 269, 4728, 476, 4029, 267, 476, 3192, 275, 267, 3296, 966, 267, 533, 269, 476, 277, 563, 23961, 1206, 517, 267, 7665, 267, 1196, 269, 634, 15610, 540, 570, 12447, 269, 5507, 281, 6723, 19395, 1299, 1133, 7773, 267, 476, 3192, 275, 563, 306, 18344, 6199, 267, 6754, 1696, 620, 1421, 32308, 269, 634, 8262, 3883, 540, 8065, 338, 540, 674, 877, 538, 519, 2136, 2276, 543, 4516, 281, 11846, 269, 12924, 281, 681, 10611, 269, 14332, 12027, 267, 476, 3192, 278, 563, 28494, 15120, 22828, 700, 1263, 6352, 267, 570, 12447, 10060, 267, 667, 625, 2437, 538, 634, 1715, 3840, 8648, 269, 5147, 476, 275, 267, 476, 4350, 279, 267, 533, 269, 476, 1724, 563, 298, 18288, 700, 269, 12794, 698, 2073, 28479, 766, 5856, 267, 18603, 267, 11908, 0, 288, 554, 32304, 4362, 519, 2831, 1792, 1233, 2059, 519, 15922, 593, 26791, 6816, 3735, 593, 14349, 563, 10666, 476, 4037, 941, 2907, 4666, 543, 6643, 4600, 2663, 1500, 519, 834, 24711, 12577, 257, 3375, 547, 552, 3578, 534, 1047, 519, 1964, 267, 799, 941, 538, 4057, 1072, 563, 28494, 611, 569, 267, 519, 10171, 540, 1373, 2111, 547, 6707, 1201, 5979, 520, 519, 6967, 16385, 729, 5393, 1970, 2437, 1767, 11412, 2274, 653, 839, 267, 519, 4972, 540, 11094, 779, 4238, 9614, 585, 26791, 6816, 563, 3891, 3773, 281, 968, 763, 6552, 4087, 267, 3668, 540, 7404, 10986, 543, 519, 16385, 685, 14016, 908, 2783, 5921, 519, 1034, 1480, 324, 3364, 547, 798, 729, 547, 552, 3578, 534, 1047, 563, 257, 4913, 267, 621, 781, 2141, 513, 2295, 12577, 3375, 547, 1118, 3034, 763, 16385, 2968, 18843, 539, 538, 1079, 10540, 338, 1175, 936, 513, 13304, 6306, 693, 28224, 779, 7345, 267, 827, 476, 2420, 5195, 689, 519, 6532, 779, 1292, 11175, 540, 744, 3316, 269, 8307, 827, 476, 23841, 1004, 2661, 593, 26791, 6816, 267, 849, 1634, 607, 681, 13403, 3120, 563, 16031, 2274, 653, 839, 1767, 1082, 540, 519, 16385, 941, 13148, 12617, 538, 5070, 543, 941, 538, 513, 4057, 2783, 267, 10834, 602, 789, 1185, 1044, 581, 3737, 585, 693, 2547, 513, 1554, 1354, 789, 941, 1336, 563, 1805, 3530, 8929, 519, 16385, 543, 741, 1286, 322, 13293, 723, 1044, 2451, 693, 519, 11824, 547, 1577, 2470, 1491, 922, 1576, 563, 257, 2791, 1745, 585, 519, 2831, 267, 621, 781, 1175, 513, 2731, 8909, 2680, 2437, 6004, 2274, 653, 839, 3773, 269, 834, 2005, 781, 519, 2186, 540, 3364, 596, 1810, 1405, 1616, 547, 1294, 269, 1411, 6999, 596, 1223, 1174, 519, 7744, 1946, 519, 16385, 18843, 267, 865, 596, 1223, 26544, 4799, 6826, 3737, 16385, 616, 5266, 1455, 538, 1715, 10215, 1282, 519, 7013, 21571, 779, 5614, 543, 4832, 563, 763, 4972, 540, 11094, 1767, 621, 15527, 827, 476, 5952, 18843, 902, 513, 1032, 267, 4352, 1034, 4125, 19157, 2831, 2864, 982, 2898, 10540, 338, 563, 4002, 10732, 267, 476, 1015, 7510, 326, 3240, 20740, 16385, 941, 1336, 18843, 539, 693, 715, 27197, 631, 850, 16047, 593, 519, 7178, 5032, 540, 519, 2197, 779, 3345, 6816, 269, 5565, 723, 2094, 5747, 267, 855, 5234, 616, 547, 3801, 547, 1201, 5979, 520, 519, 6967, 5216, 563, 288, 14203, 17962, 849, 5747, 1310, 621, 729, 581, 3737, 693, 8935, 23336, 1652, 7345, 267, 593, 3345, 6816, 779, 7532, 5032, 267, 593, 11016, 563, 1805, 8681, 902, 616, 5156, 547, 723, 513, 1297, 540, 2067, 3123, 267, 971, 607, 29400, 689, 11975, 267, 4576, 267, 12445, 6959, 267, 543, 3665, 4365, 269, 1703, 568, 849, 3395, 2963, 602, 4108, 5067, 541, 666, 771, 528, 1304, 622, 16385, 543, 23522, 543, 2014, 873, 547, 11824, 563, 6826, 3737, 16385, 1419, 5884, 540, 18024 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 18572, 3217, 513, 1394, 10160, 563, 27839, 617, 18769, 779, 4295, 4798, 1331, 13357, 267, 796, 7528, 1243, 2648, 267, 543, 2530, 269, 9253, 617, 18769, 3893, 922, 2012, 689, 519, 1249, 602, 621, 1031, 2575, 538, 922, 14245, 563, 293, 697, 9696, 267, 585, 1383, 267, 941, 4749, 1305, 1996, 19762, 560, 1537, 15885, 602, 941, 3710, 547, 524, 637, 25728, 657, 693, 1175, 519, 3617, 8090, 563, 21446, 8271, 267, 538, 513, 11509, 4090, 267, 519, 22407, 949, 581, 10483, 676, 513, 10347, 267, 4190, 5152, 3746, 2358, 2648, 543, 7772, 563, 1607, 729, 2944, 547, 1118, 513, 9434, 1198, 593, 519, 5304, 543, 1039, 1776, 10155, 540, 7553, 547, 519, 2773, 563, 14611, 20212, 9737, 30765, 543, 9253, 617, 18769, 454, 268, 30765, 568, 513, 5339, 9135, 538, 799, 10853, 3197, 3068, 9758, 7965, 543, 23434, 269, 9253, 617, 18769, 267, 593, 519, 824, 1688, 267, 568, 513, 12416, 24848, 516, 6825, 676, 18840, 20200, 531, 3197, 267, 15398, 4664, 267, 543, 14375, 7965, 563, 268, 634, 12416, 1915, 779, 14196, 568, 1483, 269, 9253, 617, 1090, 553, 3746, 1047, 543, 15583, 622, 7526, 547, 18427, 513, 3677, 3929, 5114, 689, 519, 5304, 563, 268, 589, 7787, 543, 10257, 5311, 540, 2621, 5012, 547, 519, 15539, 538, 5559, 553, 267, 6466, 538, 5283, 617, 18769, 267, 519, 1915, 4296, 267, 2864, 982, 513, 8273, 3196, 267, 616, 4749, 519, 2707, 540, 4655, 538, 891, 1568, 563, 268, 16992, 538, 513, 12416, 616, 2016, 9758, 14789, 543, 7907, 602, 2099, 519, 1480, 2551, 779, 4763, 269, 667, 1090, 1738, 3197, 616, 4749, 1950, 543, 835, 6361, 8584, 29292, 267, 6466, 18792, 3197, 616, 811, 13598, 269, 16992, 538, 5283, 617, 1090, 553, 616, 4749, 5641, 538, 32616, 539, 5107, 269, 634, 3670, 6006, 3197, 838, 1177, 2740, 891, 18840, 20200, 531, 5107, 269, 634, 4408, 2016, 547, 891, 3670, 3197, 616, 519, 5636, 664, 267, 519, 6213, 5869, 267, 519, 30201, 3176, 5869, 710, 267, 519, 804, 1144, 267, 519, 10121, 3659, 267, 543, 519, 5636, 664, 779, 3523, 1807, 563, 268, 667, 1090, 553, 1445, 593, 9962, 2035, 543, 2152, 971, 607, 21440, 267, 8635, 267, 13313, 267, 543, 1514, 14908, 267, 855, 9253, 617, 18769, 779, 3312, 4249, 4043, 547, 723, 3908, 3584, 269, 1452, 2984, 723, 14375, 543, 3810, 3929, 4798, 899, 2648, 543, 1920, 563, 8310, 21213, 2433, 476, 1724, 5147, 267, 476, 1708, 274, 454, 296, 4076, 2322, 865, 1454, 4674, 1603, 713, 5816, 2022, 547, 1683, 1871, 547, 596, 269, 898, 3580, 581, 1360, 5363, 585, 803, 267, 952, 596, 2015, 4687, 621, 593, 1514, 2923, 610, 609, 707, 2828, 11721, 13637, 269, 15562, 2752, 5058, 4959, 2340, 503, 354, 20804, 454, 303, 12011, 2313, 962, 611, 822, 814, 6170, 519, 2250, 476, 1839, 1296, 2324, 607, 513, 21997, 538, 519, 2199, 2146, 269, 1261, 568, 513, 21997, 13730, 827, 1818, 2257, 811, 3015, 547, 938, 3988, 269, 1261, 6585, 513, 645, 9928, 538, 7849, 7070, 543, 5403, 23958, 24547, 5448, 538, 7025, 3163, 269, 1411, 666, 1224, 811, 827, 1864, 593, 1010, 6915, 2985, 269, 0, 8505, 11703, 28298, 595, 1117, 323, 541, 454, 8505, 11703, 28298, 2636, 519, 9920, 547, 581, 1863, 689, 2348, 547, 1689, 24039, 16924, 563, 763, 1034, 1455, 1826, 540, 13128, 6771, 568, 17453, 269, 901, 1062, 3096, 5714, 23993, 538, 1747, 540, 519, 8261, 779, 11508, 804, 8553, 267, 543, 2242, 24039, 676, 1327, 6362, 543, 30196, 513, 1062, 540, 19236, 24039, 563, 763, 3339, 4484, 532, 596, 1294, 593, 606, 13128, 616, 623, 681, 715, 667, 630, 303, 1046, 267, 681, 27654, 267, 3026, 23018, 267, 20000, 994, 8505, 11703, 28298, 3525, 525, 454, 1607, 5542, 2964, 1227, 25437, 519, 3977, 14788, 540, 6771, 267, 28142, 519, 6174, 689, 3001, 538, 1022, 4287, 563, 288, 18736, 30392, 331, 286, 2181, 24000, 519, 6771, 689, 15914, 267, 543, 4061, 519, 6174, 689, 3001, 269, 1717, 267, 621, 1058, 581, 7074, 602, 519, 6174, 286, 338, 1875, 12454, 14743, 616, 1869, 1863, 547, 17967, 267, 543, 519, 9141, 14743, 949, 1869, 17967, 14350, 630, 20357, 540, 519, 11186, 1040, 1280, 713, 2601, 267, 621, 568, 5227, 547, 946, 519, 1688, 20347, 630, 335, 1046, 532, 20347, 21663, 20357, 713, 2965, 25437, 519, 14743, 543, 11151, 873, 689, 3001, 563, 2005, 568, 6093, 540, 4395, 2914, 31856, 10377, 633, 6472, 585, 519, 18736, 20347, 547, 9376, 519, 15493, 630, 12061, 28391, 264, 14743, 267, 865, 946, 540, 1312, 519, 18736, 20347, 543, 519, 6771, 6288, 9376, 2488, 519, 6574, 3354, 1996, 26516, 3350, 593, 19527, 269, 901, 849, 4679, 519, 1272, 540, 519, 6771, 543, 519, 6288, 8930, 7271, 267, 1317, 18736, 593, 606, 13141, 710, 609, 519, 6771, 538, 6288, 1510, 519, 18736, 20347, 7722, 786, 2014, 3768, 826, 2566, 593, 519, 18736, 8930, 267, 543, 949, 1256, 2061, 519, 8930, 689, 16089, 269, 589, 1688, 20347, 1058, 849, 2061, 519, 1286, 689, 3001, 952, 513, 12816, 2824, 528, 18417, 12772, 883, 9258, 10591, 1247, 7329, 1782, 563, 288, 1286, 1058, 581, 4847, 547, 2097, 547, 513, 2347, 3247, 1354, 4259, 519, 6771, 883, 6288, 547, 2061, 3441, 563, 29995, 267, 5244, 630, 303, 264, 568, 835, 540, 1152, 1079, 25926, 538, 799, 519, 1286, 286, 338, 2599, 666, 581, 3323, 267, 519, 824, 1373, 3026, 23018, 630, 301, 1916, 1103, 1082, 2413, 6472, 267, 519, 9920, 1590, 723, 519, 3723, 20347, 4294, 1354, 519, 6771, 666, 581, 3144, 856, 540, 6288, 269, 0, 26872, 2843, 509, 16417, 4344, 17153, 19757, 20265, 396, 507, 3522, 13150, 3522, 8563, 4138, 19314, 1993, 1312, 28486, 267, 543, 5462, 519, 3328, 2597, 693, 827, 476, 280, 12063, 269, 1285, 7546, 16632, 12251, 267, 1247, 3220, 269, 3627, 1234, 573, 1336, 519, 3328, 2597, 540, 519, 5256, 2295, 547, 581, 513, 2370, 811, 982, 476, 1556, 12063, 338, 1421, 543, 602, 540, 519, 4775, 2295, 547, 581, 513, 2370, 1657, 476, 280, 12063, 338, 563, 1103, 938, 4998, 17250, 540, 519, 8219, 540, 595, 269, 630, 14808, 269, 476, 272, 1070, 649, 723, 8612, 519, 1114, 19659, 883, 799, 519, 2295, 568, 5258, 269, 769, 4453, 269, 476, 274, 972, 568, 6719, 513, 3296, 540, 519, 1480, 2295, 267, 799, 568, 18481, 899, 519, 4641, 547, 2285, 519, 5467, 513, 4023, 2856, 540, 519, 2990, 540, 922, 1585, 2694, 269, 634, 1079, 7811, 12271, 267, 799, 941, 5176, 538, 3346, 538, 4453, 269, 476, 272, 267, 616, 1934, 535, 4310, 883, 513, 2582, 1418, 267, 855, 519, 6498, 540, 519, 1079, 5011, 568, 1869, 607, 2347, 267, 538, 865, 2484, 607, 519, 3252, 540, 519, 2295, 616, 7255, 267, 607, 538, 519, 4998, 10325, 269, 1284, 1294, 513, 2178, 7299, 15652, 19459, 519, 3003, 2295, 883, 1079, 30556, 267, 799, 616, 1360, 2147, 547, 1142, 824, 269, 769, 519, 18913, 4137, 630, 14808, 269, 476, 275, 1070, 649, 723, 513, 6041, 540, 782, 891, 17901, 7308, 28050, 2873, 2348, 1044, 6569, 865, 607, 547, 2285, 513, 3982, 2070, 540, 519, 5580, 2627, 540, 519, 28602, 956, 269, 634, 28886, 639, 3671, 543, 5378, 1537, 17901, 267, 799, 616, 7357, 6806, 7308, 1079, 28602, 956, 24931, 8195, 268, 732, 6719, 676, 476, 272, 543, 476, 274, 6606, 282, 1247, 519, 17422, 543, 513, 20294, 5033, 559, 12762, 2019, 1407, 267, 799, 267, 950, 6806, 267, 2141, 1459, 513, 6677, 1511, 2627, 2509, 519, 9641, 267, 616, 8612, 676, 476, 275, 543, 476, 276, 269, 634, 6821, 540, 519, 28602, 956, 616, 1454, 23198, 982, 1346, 540, 519, 28050, 2873, 267, 543, 1346, 540, 519, 2451, 28602, 548, 616, 827, 2185, 2053, 607, 5394, 607, 1346, 540, 519, 1318, 282, 519, 2179, 540, 16757, 5160, 1373, 267, 538, 782, 891, 2665, 267, 14354, 547, 519, 960, 547, 581, 2944, 269, 2353, 3877, 3823, 519, 14169, 540, 519, 2295, 267, 4849, 971, 607, 7703, 2047, 2390, 519, 595, 1421, 1131, 581, 856, 540, 1747, 538, 713, 2376, 267, 543, 649, 4927, 267, 4061, 267, 522, 2466, 782, 5469, 540, 1082, 3889, 799, 1459, 2933, 593, 6679, 922, 1585, 19659, 269, 1284, 786, 8806, 1039, 267, 602, 454, 325, 267, 536, 267, 519, 1079, 642, 6511, 524, 6072, 267, 6679, 883, 546, 267, 519, 1318, 28050, 1834, 282, 524, 267, 519, 28886, 639, 3671, 11896, 282, 513, 267, 519, 1318, 28602, 548, 267, 689, 799, 23131, 519, 17422, 16050, 267, 12270, 883, 8371, 575, 543, 1775, 267, 2469, 547, 519, 1318, 543, 2451, 5761, 6606, 282, 552, 267, 552, 3299, 519, 17422, 15532, 630, 18314, 689, 2901, 5761, 1070, 10024, 883, 519, 2451, 28050, 1834, 267, 737, 282, 476, 272, 267, 519, 5378, 1537, 11896, 282, 544, 267, 519, 2451, 28602, 548, 267, 689, 799, 23131, 519, 513, 677, 320, 267, 4171, 2895, 568, 8612, 676, 554, 267, 543, 519, 27312, 6712, 676, 562, 267, 9039, 540, 922, 8371, 1373, 8612, 538, 713, 4137, 282, 522, 267, 519, 15652, 267, 610, 31027, 636, 267, 1063, 519, 1318, 543, 2451, 12271, 563, 20983, 269, 476, 275, 11607, 309, 3201, 309, 2464, 5508, 5990, 16777, 11286, 6730, 8121, 9898, 22494, 563, 308, 3899, 2627, 540, 519, 2295, 267, 519, 28050, 2873, 2348, 1044, 6569, 269, 769, 713, 4137, 519, 2295, 568, 5828, 538, 971, 513, 2990, 602, 519, 18751, 2627, 6013, 1970, 25958, 282, 8754, 519, 7805, 15739, 32735, 540, 519, 1318, 28050, 10306, 334, 268, 1203, 14152, 610, 12715, 14084, 593, 519, 2451, 2427, 540, 519, 6516, 563, 272, 267, 9406, 28050, 10306, 334, 268, 1203, 14152, 610, 12715, 267, 21933, 3438, 730, 676, 519, 28886, 639, 3671, 11896, 282, 476, 273, 267, 32248, 8258, 4478, 713, 610, 12715, 282, 476, 274, 267, 2451, 28050, 10306, 334, 268, 1203, 14152, 610, 12715, 267, 11303, 676, 513, 8258, 267, 543, 6806, 676, 519, 5378, 1537, 11896, 282, 476, 275, 267, 610, 12715, 3056, 883, 519, 513, 677, 320, 689, 519, 2451, 28602, 548, 267, 6806, 676, 519, 5033, 559, 12762, 17901, 282, 476, 276, 267, 610, 12715, 3056, 883, 519, 17422, 16050, 689, 519, 1318, 28602, 548, 267, 849, 3177, 609, 1614, 5033, 559, 12762, 17901, 563, 1492, 2295, 11392, 519, 27555, 1973, 2556, 585, 922, 1378, 6484, 689, 519, 18337, 16209, 267, 1079, 959, 16218, 799, 616, 2016, 1055, 676, 519, 513, 677, 320, 5612, 1657, 519, 5033, 559, 12762, 17901, 282, 543, 602, 713, 1973, 2348, 26809, 922, 1599, 267, 568, 5645, 1394, 547, 519, 1318, 28050, 1834, 676, 519, 18337, 15532, 282, 713, 1973, 15069, 2348, 519, 20125, 2009, 11528, 10009, 563, 7712, 782, 519, 27555, 1973, 3762, 519, 2295, 998, 519, 513, 20294, 6679, 267, 538, 16439, 922, 1576, 547, 519, 1114, 2694, 540, 519, 1062, 267, 649, 15069, 723, 1152, 547, 1246, 519, 513, 677, 320, 547, 922, 3803, 8371, 269, 28582, 2590, 547, 519, 2376, 589, 3036, 14011, 267, 1141, 519, 9030, 8371, 540, 602, 1390, 1418, 616, 8612, 267, 621, 568, 6190, 267, 1510, 2417, 26715, 3877, 267, 547, 2161, 602, 519, 3803, 29298, 540, 519, 16209, 15814, 519, 27555, 1973, 547, 519, 1698, 650, 2456, 630, 336, 18192, 13776, 799, 829, 341, 1228, 1169, 851, 540, 519, 1560, 563, 763, 15532, 267, 899, 519, 16209, 267, 616, 1336, 538, 5176, 1169, 5160, 282, 789, 30134, 676, 8792, 533, 2716, 4926, 630, 534, 26715, 2165, 585, 513, 3060, 6438, 11460, 1070, 799, 5968, 609, 519, 1698, 650, 2456, 269, 645, 3757, 2583, 689, 891, 533, 2716, 4926, 796, 1746, 1927, 267, 1106, 1507, 27625, 959, 16218, 267, 799, 267, 676, 11836, 267, 2333, 538, 2450, 607, 789, 1780, 593, 1189, 2509, 519, 2295, 269, 1403, 649, 4849, 1978, 27625, 3889, 630, 21406, 5609, 4926, 264, 9648, 538, 519, 9703, 540, 519, 15693, 267, 649, 949, 7941, 519, 15532, 883, 1079, 5036, 7308, 21603, 610, 2759, 10389, 267, 543, 519, 2620, 15532, 563, 763, 2620, 15532, 13173, 519, 16209, 267, 543, 616, 2356, 13141, 2216, 538, 519, 1482, 1352, 987, 540, 10408, 5160, 609, 873, 269, 769, 519, 2013, 540, 519, 4130, 16209, 267, 789, 3622, 2291, 538, 8424, 267, 835, 593, 1142, 2427, 519, 16050, 267, 543, 616, 1572, 642, 6511, 635, 2572, 267, 1247, 519, 3677, 16209, 723, 2356, 1152, 835, 18913, 18916, 563, 763, 21603, 15532, 2049, 5612, 9944, 519, 2076, 2163, 282, 789, 711, 1152, 2132, 519, 1973, 689, 519, 2960, 543, 11105, 3889, 267, 855, 5968, 609, 519, 2620, 15532, 563, 5472, 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 ]
[ 610, 7143, 4765, 4070, 540, 13123, 543, 5656, 25467, 585, 2489, 7293, 3483, 7868, 6556, 4222, 540, 3327, 5374, 6676, 589, 3607, 4927, 581, 1657, 476, 7742, 631, 11985, 585, 519, 11098, 3160, 610, 2630, 338, 476, 1220, 17524, 12281, 269, 2690, 5374, 6676, 11098, 1657, 476, 1220, 7825, 267, 10472, 1871, 4927, 581, 1657, 476, 13136, 300, 11985, 7868, 589, 3041, 296, 476, 19054, 32255, 13082, 5288, 269, 17129, 300, 589, 3607, 12539, 13082, 2904, 476, 1789, 267, 1708, 271, 6440, 13828, 589, 3041, 296, 476, 19054, 16243, 5374, 543, 30680, 589, 3607, 3327, 5374, 616, 4401, 23212, 269, 5445, 723, 476, 10170, 260, 540, 741, 3328, 18585, 5888, 538, 1455, 269, 2467, 616, 476, 4029, 1570, 3601, 609, 2418, 585, 1312, 2326, 269, 19187, 2906, 609, 2418, 585, 1175, 835, 1570, 630, 274, 267, 514, 713, 2013, 264, 616, 711, 3254, 563, 12749, 923, 595, 2642, 7072, 300, 778, 1456, 310, 601, 3429, 28959, 9615, 21104, 725, 17129, 300, 589, 3607, 568, 519, 1034, 4122, 1031, 7646, 543, 3905, 268, 9776, 5374, 20193, 814, 5140, 13841, 3601, 543, 568, 5078, 585, 8860, 28872, 684, 4221, 25722, 6260, 267, 20142, 3739, 543, 20619, 3157, 28629, 1752, 4222, 540, 30680, 589, 3607, 568, 1447, 982, 602, 540, 4411, 5066, 595, 6200, 279, 267, 28387, 7175, 30680, 589, 3607, 547, 18846, 811, 11593, 982, 595, 6200, 279, 12991, 768, 958, 267, 331, 24147, 5603, 4394, 538, 30680, 589, 3607, 616, 711, 3812, 2094, 595, 6200, 279, 3905, 5066, 21448, 616, 1031, 269, 17129, 300, 589, 3607, 568, 2356, 2139, 538, 519, 1739, 3029, 476, 272, 10611, 624, 4120, 3046, 476, 273, 2529, 13645, 3046, 476, 274, 5861, 1844, 983, 11425, 8450, 811, 593, 20842, 558, 1432, 1772, 589, 3607, 13082, 286, 670, 6064, 518, 17129, 300, 589, 3607, 814, 513, 6556, 4222, 540, 476, 3607, 267, 1822, 533, 19561, 543, 606, 1450, 762, 19755, 2566, 540, 476, 2420, 267, 1822, 533, 19561, 7868, 3601, 540, 30680, 589, 3607, 5374, 1450, 621, 547, 22775, 20406, 607, 2566, 568, 2799, 3564, 922, 6556, 4222, 269, 17129, 300, 589, 3607, 13082, 2142, 600, 910, 23839, 23848, 855, 8899, 8779, 17129, 300, 589, 3607, 1775, 11237, 814, 13591, 28995, 543, 6556, 4222, 585, 922, 1970, 3327, 1543, 1510, 824, 18585, 2609, 6993, 3607, 5374, 20832, 616, 1455, 1570, 585, 4070, 543, 3540, 4702, 607, 513, 1267, 540, 8013, 569, 1970, 1942, 1434, 3601, 538, 13841, 267, 14127, 543, 20619, 269, 17129, 300, 589, 3607, 13082, 267, 8663, 910, 4223, 16158, 736, 9343, 6440, 307, 839, 850, 23848, 267, 19575, 1493, 476, 6110, 910, 476, 20862, 12463, 320, 476, 276, 3199, 876, 910, 476, 278, 7176, 876, 533, 19561, 570, 839, 850, 23848, 267, 312, 1752, 476, 7742, 454, 17129, 300, 589, 3607, 24234, 13082, 4446, 585, 14716, 267, 300, 778, 1149, 570, 10183, 13034, 582, 18202, 30680, 589, 3607, 5374, 5086, 3046, 568, 519, 1034, 4922, 1031, 7293, 5374, 676, 519, 4070, 2872, 607, 922, 1360, 22237, 1942, 269, 1805, 24780, 7646, 589, 3607, 7285, 616, 14475, 676, 12902, 840, 13463, 730, 18742, 883, 606, 5086, 3337, 269, 17129, 300, 589, 3607, 5374, 2597, 910, 28679, 4335, 13082, 6006, 4289, 1401, 1602, 614, 19878, 476, 1839, 267, 1708, 271, 6440, 2690, 1383, 267, 5471, 531, 13063, 543, 10824, 1590, 723, 513, 8766, 6556, 4222, 540, 476, 3607, 267, 1822, 6550, 829, 13483, 23357, 577, 269, 17129, 300, 589, 3607, 5374, 568, 513, 3339, 5374, 18585, 602, 949, 581, 513, 7928, 7293, 4496, 593, 519, 4541, 269, 19284, 1034, 589, 3041, 296, 9344, 2147, 547, 476, 6200, 279, 267, 14625, 272, 267, 528, 476, 29300, 271, 267, 13563, 5980, 585, 13281, 543, 10049, 589, 3607, 5374, 568, 711, 11280, 676, 3114, 5888, 269, 2704, 869, 762, 2701, 541, 13262, 540, 589, 3607, 13082, 3776, 12815, 1307, 14257, 476, 1321, 267, 1001, 278, 6440, 763, 3044, 6556, 4222, 540, 589, 3607, 5374, 568, 476, 3607, 267, 1822, 623, 10485, 610, 476, 7742, 1007, 27971, 829, 1984, 9014, 16302, 563, 13971, 476, 4905, 267, 1708, 271, 6440, 2690, 30680, 589, 3607, 590, 22550, 297, 305, 590, 20720, 297, 305, 7344, 3601, 267, 306, 22550, 297, 305, 6556, 1648, 568, 3677, 982, 589, 3607, 6556, 1379, 25467, 590, 22550, 297, 305, 28995, 1379, 666, 581, 3152, 982, 589, 3607, 28995, 4222, 18994, 30680, 589, 3607, 5374, 669, 11035, 18202, 16638, 1764, 32586, 13021, 8699, 3788, 547, 581, 17477, 950, 519, 4835, 3774, 540, 519, 10612, 6238, 27548, 5861, 12365, 13082, 12754, 6651, 6206, 5450, 1023, 6732, 19045, 18242, 288, 3607, 23305, 13082, 6993, 3607, 3327, 3905, 18202, 7646, 5374, 7285, 616, 1031, 538, 1034, 2489, 3483, 3156, 11482, 578, 3327, 1543, 5266, 1434, 7344, 3601, 2059, 609, 1164, 2298, 28891, 1464, 1118, 621, 513, 1455, 3903, 538, 21753, 543, 7293, 3156, 269, 308, 4513, 1331, 2489, 12227, 1141, 647, 2183, 20541, 687, 949, 581, 7109, 730, 6185, 29924, 9737, 589, 3607, 5288, 476, 6200, 279, 13082, 286, 630, 20776, 19828, 8382, 264, 13356, 476, 1015, 267, 1001, 280, 6440, 763, 3017, 1063, 476, 6200, 279, 5374, 543, 589, 3607, 5374, 568, 538, 519, 9096, 11971, 1752, 4222, 25467, 3902, 6993, 3607, 568, 23163, 585, 7293, 5301, 267, 6112, 476, 6200, 279, 568, 811, 14018, 585, 20619, 543, 18138, 5301, 269, 4407, 1312, 476, 6200, 279, 543, 589, 3607, 2097, 538, 3905, 268, 9776, 610, 4411, 268, 9776, 3029, 267, 14653, 268, 9776, 589, 3607, 5374, 543, 4411, 268, 9776, 476, 6200, 279, 5374, 616, 519, 1034, 1455, 563, 13202, 476, 1556, 267, 1220, 279, 6440, 288, 3607, 5374, 19380, 811, 982, 476, 1015, 260, 540, 674, 344, 693, 476, 4335, 5232, 535, 13873, 15241, 543, 19380, 811, 982, 476, 2004, 260, 540, 674, 344, 693, 476, 8517, 5232, 12171, 344, 10490, 3607, 264, 7711, 476, 6110, 2554, 12171, 18994, 827, 476, 3451, 737, 19561, 674, 344, 10490, 3607, 264, 7711, 476, 8517, 2554, 12171, 18994, 827, 476, 1626, 737, 19561, 18439, 2417, 291, 21648, 18694, 585, 13082, 24110, 12539, 13082, 30680, 589, 3607, 4614, 601, 3766, 10232, 288, 3607, 5374, 910, 9504, 523, 25769, 17129, 300, 589, 3607, 13082, 17934, 910, 13159, 569, 10410, 5874, 1411, 12354, 531, 4614, 601, 24092, 10410, 2305, 585, 12539, 23305, 13082, 770, 332, 22706, 6651, 589, 3607, 13082, 19045, 8111, 5658, 1115, 910, 13082, 8407, 10967, 5658, 1115, 27775, 2105, 547, 596, 1759, 593, 1018, 781, 2442, 24720, 589, 3607, 7698, 11906, 1290, 1842, 527, 13082, 595, 13961, 631, 333, 774, 32169, 630, 323, 1070, 7825, 630, 514, 4700, 589, 3607, 476, 271, 269, 1839, 476, 271, 269, 2412, 1100, 10421, 546, 476, 736, 630, 271, 269, 4037, 264, 589, 3607, 476, 271, 269, 1839, 476, 271, 269, 2412, 476, 271, 269, 3199, 268, 272, 269, 736, 476, 736, 283, 323, 2412, 630, 271, 269, 4037, 283, 323, 476, 272, 269, 276, 264, 589, 3607, 476, 271, 269, 2918, 476, 271, 269, 1428, 268, 271, 269, 2412, 476, 271, 269, 3199, 268, 272, 269, 736, 476, 277, 9343, 593, 519, 16447, 332, 1468, 17129, 300, 589, 3607, 13082, 17934, 910, 13159, 569, 10410, 5874, 1411, 1548, 1772, 30680, 589, 3607, 3963, 589, 3607, 13082, 17934, 1772, 634, 5440, 681, 730, 7698, 538, 4790, 15297, 300, 1468, 16544, 270, 11854, 322, 5874, 288, 3607, 8899, 12539, 630, 300, 843, 264, 13082, 17934, 22436, 543, 26402, 763, 589, 3607, 5374, 2919, 676, 30680, 3486, 568, 835, 540, 519, 2442, 543, 4922, 1031, 3327, 7293, 2848, 1564, 799, 568, 7646, 543, 3905, 18202, 269, 17129, 300, 589, 3607, 814, 10700, 13841, 3601, 543, 621, 568, 9985, 5078, 585, 5309, 4221, 267, 23950, 4193, 267, 20142, 3739, 25722, 6260, 543, 20619, 3157, 269, 19284, 2362, 26024, 23212, 267, 28205, 7293, 5374, 6676, 3601, 1450, 519, 5374, 547, 581, 1031, 538, 1082, 3156, 2529, 2465, 811, 593, 12354, 531, 4614, 601, 291, 21648, 18694, 585, 13082, 24110, 12539, 13082, 30680, 589, 3607, 17129, 300, 589, 3607, 8447, 16544, 570, 839, 850, 4222, 476, 12893, 268, 23056, 536, 270, 6573, 320, 962, 1752, 23848, 476, 2537, 476, 271, 269, 273, 1315, 6573, 320, 4432, 784, 566, 476, 4792, 476, 276, 630, 8472, 910, 630, 8472, 13019, 341, 910, 13019, 341, 32434, 670, 7034, 476, 11277, 268, 25834, 910, 670, 13612, 476, 1789, 910, 30680, 589, 3607, 20996, 16544, 570, 839, 850, 4222, 476, 23211, 268, 23211, 536, 270, 6573, 320, 962, 1752, 23848, 476, 15150, 476, 271, 269, 273, 1315, 6573, 320, 4432, 784, 566, 476, 6321, 476, 276, 263, 8472, 910, 630, 8472, 13019, 341, 910, 13019, 341, 32434, 670, 7034, 476, 20720, 268, 28803, 910, 670, 13612, 476, 1789, 910, 22706, 6651, 589, 3607, 13082, 19045, 8111, 5658, 1115, 910, 13082, 11906, 23531, 17637, 566, 8448, 20996, 16544, 1692, 589, 3607, 1772, 17214, 13349, 21964, 540, 589, 3607, 288, 3607, 5374, 666, 723, 10700, 28995, 9342, 689, 476, 6812, 267, 1822, 547, 476, 8064, 267, 8517, 533, 19561, 7868, 3169, 10700, 28995, 4222, 568, 5462, 676, 513, 3099, 540, 2188, 971, 607, 3114, 5888, 543, 8108, 1505, 6993, 3607, 568, 5266, 13811, 850, 543, 666, 20436, 622, 547, 1472, 476, 736, 260, 540, 922, 3312, 3259, 950, 28995, 4152, 15660, 1206, 13811, 1006, 543, 4222, 849, 2285, 621, 5140, 1764, 4222, 693, 4055, 2837, 2529, 2465, 811, 593, 8407, 10967, 5658, 1115, 288, 3607, 13082, 14502, 13096, 553, 18694, 910, 4496, 695, 15501, 271, 269, 29257, 18470, 30032, 23326, 11053, 2988, 673, 540, 30680, 13082, 8160, 324, 22817, 16544, 8160, 13011, 269, 12626, 269, 4467, 906, 11053, 839, 850, 23848, 267, 19575, 1493, 269, 6110, 910, 476, 20862, 12463, 320, 476, 276, 3199, 876, 910, 476, 278, 7176, 876, 533, 19561, 11053, 839, 850, 23848, 267, 312, 1752, 563, 296, 7058, 621, 1131, 4096, 593, 707, 4214, 540, 5821, 15660, 6415, 9425, 1978, 621, 6238, 9561, 621, 781, 4222, 693, 513, 5266, 1970, 2837, 267, 8117, 1018, 2026, 594, 11291, 267, 11004, 729, 513, 2603, 540, 4901, 593, 713, 1641, 538, 519, 4702, 1158, 3823, 476, 26605, 32586, 5210, 519, 5374, 4718, 25467, 875, 602, 3413, 288, 3607, 5374, 19380, 811, 982, 476, 1015, 260, 540, 674, 344, 693, 476, 4335, 5232, 535, 13873, 15241, 543, 19380, 811, 982, 476, 2004, 260, 540, 674, 344, 693, 476, 8517, 5232, 269, 674, 344, 10490, 3607, 264, 7711, 476, 6110, 2554, 12171, 18994, 827, 476, 3451, 737, 19561, 5804, 6789, 10933, 8791, 4083, 267, 8512, 667, 267, 8368, 962, 268, 272, 543, 772, 268, 272, 18323, 263, 4113, 293, 264, 962, 1752, 23848, 263, 802, 328, 264, 570, 839, 850, 23848, 263, 802, 328, 264, 910, 736, 547, 476, 1911, 476, 3607, 269, 4905, 6701, 596, 6998, 827, 2110, 2165, 610, 1279, 2165, 7790, 8641, 527, 1436, 3217, 942, 1547, 763, 2025, 4341, 540, 8720, 5374, 609, 476, 273, 6405, 568, 547, 1202, 3634, 519, 5374, 2791, 1058, 849, 2015, 519, 1198, 540, 3002, 593, 519, 5374, 29870, 269, 634, 29870, 540, 22786, 543, 610, 8479, 781, 29870, 568, 849, 8200, 593, 2191, 4405, 22818, 649, 1058, 2307, 14472, 773, 744, 262, 291, 517, 24274, 267, 553, 1352, 2322, 621, 22336, 821, 6487, 3595, 666, 1405, 15835, 5374, 269, 14188, 596, 782, 585, 707, 5813, 269, 898, 729, 1360, 3730, 538, 8159, 1018, 594, 2877, 256, 5804, 606, 2025, 6789, 10933, 4425, 8814, 543, 16242, 26751, 1088, 8943, 267, 4089, 8633, 267, 19667, 1707, 476, 272, 267, 263, 1721, 17437, 23113, 267, 296, 3494, 264, 7305, 594, 268, 277, 269, 271, 267, 1721, 12539, 13082, 609, 524, 24066, 6672, 540, 1401, 12371, 23113, 910, 589, 3041, 290, 454, 28265, 902, 7868, 1450, 762, 17613, 585, 7293, 5374, 556, 31637, 519, 5812, 4806, 540, 2333, 538, 6556, 4222, 607, 1007, 5374, 19898, 268, 7434, 338, 941, 2919, 269, 3080, 9868, 7018, 538, 476, 3707, 273, 950, 519, 2782, 13870, 8274, 9783, 2817, 17073, 10410, 10716, 585, 519, 5071, 267, 293, 5419, 566, 543, 661, 14431, 540, 23305, 13082, 585, 29844, 8160, 514, 3065, 30680, 17540, 1315, 674, 344, 630, 802, 328, 264, 17540, 630, 802, 328, 264, 674, 344, 630, 8472, 538, 476, 273, 2987, 6993, 3607, 12539, 7293, 5374, 589, 3607, 476, 3607, 476, 6812, 268, 3199, 476, 272, 269, 8618, 476, 2537, 589, 3607, 476, 2004, 476, 3583, 476, 272, 269, 275, 476, 2641, 4400, 3613, 31104, 1970, 22433, 1195, 23305, 5374, 589, 26237, 476, 5379, 476, 6858, 476, 272, 269, 5379, 476, 2641, 8899, 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 ]
[ 0, 290, 5670, 532, 568, 835, 540, 519, 1034, 2442, 5751, 543, 21088, 5026, 2238, 538, 519, 1158, 269, 769, 1249, 267, 1082, 1004, 946, 621, 547, 14867, 2539, 1394, 1928, 269, 1809, 1866, 31274, 602, 14964, 513, 11332, 2306, 741, 1394, 1928, 8338, 269, 1924, 267, 799, 568, 3020, 286, 1772, 14964, 513, 11332, 3983, 585, 707, 1394, 888, 5978, 12665, 693, 32726, 1975, 710, 15544, 616, 593, 513, 5692, 547, 948, 596, 2661, 607, 1928, 6954, 607, 2009, 269, 2755, 1394, 1928, 568, 1945, 602, 1034, 1004, 4308, 609, 538, 835, 1259, 610, 519, 824, 267, 972, 616, 1978, 5574, 543, 6208, 596, 666, 1902, 538, 547, 2327, 519, 1928, 1281, 711, 14443, 707, 3232, 1272, 269, 3371, 616, 930, 540, 519, 1279, 1606, 4454, 8584, 1123, 4267, 547, 2055, 3823, 13770, 743, 532, 543, 1394, 1072, 563, 289, 10884, 607, 606, 17224, 11131, 11644, 454, 2005, 779, 1100, 5728, 602, 14964, 707, 11332, 666, 581, 835, 540, 519, 1655, 2081, 547, 1205, 1434, 9025, 3635, 269, 898, 779, 1256, 3006, 5227, 607, 513, 1434, 3635, 547, 948, 1346, 609, 5312, 2539, 1394, 1928, 563, 305, 4575, 707, 11332, 5781, 666, 581, 6225, 585, 513, 1297, 540, 4128, 912, 268, 645, 10884, 568, 519, 2547, 17173, 1106, 540, 20659, 3635, 585, 707, 12636, 269, 630, 24718, 713, 609, 28185, 3101, 610, 19482, 8094, 268, 5589, 3518, 550, 21891, 960, 585, 1346, 945, 1745, 1928, 8323, 689, 513, 556, 743, 1456, 2990, 563, 268, 8617, 30158, 616, 5227, 585, 1346, 945, 1745, 1928, 8323, 689, 10709, 532, 4464, 593, 513, 17919, 10160, 563, 4913, 267, 972, 616, 1869, 1346, 945, 1745, 811, 1928, 982, 8323, 950, 14964, 513, 11332, 269, 1772, 14964, 513, 11332, 3983, 585, 707, 1394, 286, 2913, 779, 1491, 513, 1413, 693, 930, 540, 519, 4128, 1946, 713, 949, 581, 519, 2013, 563, 303, 664, 6970, 4310, 676, 645, 10884, 454, 4263, 32726, 1975, 710, 15544, 267, 649, 1174, 519, 6988, 540, 5312, 1394, 1928, 269, 634, 12636, 568, 835, 540, 519, 1034, 2143, 543, 2565, 2694, 540, 519, 1560, 267, 5827, 540, 9013, 782, 540, 707, 5322, 543, 17915, 269, 1879, 596, 7985, 606, 5945, 267, 596, 949, 1745, 8335, 982, 2576, 3116, 945, 849, 814, 513, 12636, 5945, 269, 13689, 593, 519, 4087, 540, 519, 5945, 267, 922, 10335, 267, 543, 875, 621, 729, 3361, 267, 707, 5868, 949, 581, 1114, 982, 1776, 3461, 779, 269, 901, 568, 1946, 267, 585, 930, 1004, 267, 31610, 7959, 1732, 267, 1247, 621, 949, 581, 12615, 908, 519, 3390, 585, 1866, 563, 6097, 547, 15765, 267, 7814, 1235, 945, 3668, 1697, 4295, 4222, 610, 8112, 949, 7985, 689, 1394, 1928, 1247, 15203, 269, 901, 568, 1336, 547, 581, 2523, 3020, 540, 7820, 4079, 896, 519, 2085, 540, 476, 1789, 563, 4322, 2043, 949, 7985, 519, 1739, 2589, 1247, 14964, 513, 11332, 912, 268, 1358, 949, 581, 15203, 538, 606, 16789, 1560, 2990, 269, 1403, 519, 8405, 568, 2895, 532, 1394, 267, 621, 12662, 1932, 1454, 8833, 593, 519, 5580, 851, 540, 519, 12636, 267, 799, 568, 6038, 11213, 563, 268, 645, 5390, 743, 532, 936, 536, 17056, 9897, 610, 10792, 14099, 11179, 30660, 519, 12636, 267, 799, 5012, 547, 1394, 1928, 563, 268, 645, 5390, 743, 532, 3294, 1281, 711, 798, 4376, 585, 519, 1394, 6091, 282, 621, 1281, 711, 20741, 610, 2783, 873, 563, 268, 645, 5390, 743, 532, 949, 2014, 8833, 610, 15198, 547, 519, 561, 29856, 1062, 267, 7700, 547, 2539, 1394, 1928, 563, 289, 5390, 2193, 17807, 4422, 883, 1469, 827, 519, 1114, 17919, 10160, 7158, 602, 666, 2901, 10413, 610, 948, 707, 1394, 269, 898, 779, 1271, 547, 581, 3222, 540, 707, 1560, 14302, 1247, 596, 11878, 707, 11332, 865, 596, 666, 948, 1265, 519, 2707, 540, 707, 1394, 1928, 2042, 1247, 15203, 563, 7093, 28124, 7982, 10266, 2755, 20676, 532, 454, 2252, 596, 616, 16994, 593, 14964, 707, 11332, 267, 855, 596, 1810, 1406, 1616, 547, 2196, 883, 1022, 8374, 609, 707, 12636, 267, 972, 616, 1896, 1919, 596, 666, 798, 1118, 2386, 602, 596, 1810, 1406, 1205, 10413, 269, 5269, 2386, 596, 723, 519, 1655, 17919, 2009, 585, 707, 1560, 3337, 543, 4222, 269, 3509, 2694, 540, 513, 17919, 666, 581, 14661, 547, 3514, 707, 2067, 17114, 563, 2791, 1522, 1616, 547, 1902, 538, 513, 8710, 4726, 828, 865, 596, 1995, 1447, 795, 18732, 1928, 950, 14964, 707, 11332, 269, 1403, 596, 991, 3606, 948, 267, 621, 568, 5227, 602, 596, 3643, 513, 2123, 26519, 610, 707, 1928, 2359, 4387, 1318, 2476, 563, 7476, 7982, 593, 2659, 645, 833, 538, 3143, 5384, 609, 32726, 10266, 15544, 2336, 306, 3832, 7191, 513, 3643, 609, 938, 14468, 1928, 2359, 12665, 547, 2569, 519, 1981, 540, 12636, 1928, 610, 5945, 269, 1403, 596, 2461, 2907, 7231, 609, 5312, 1394, 1928, 267, 596, 949, 1265, 602, 1978, 7158, 593, 513, 17919, 616, 1360, 5363, 538, 17212, 1324, 602, 1928, 269, 21480, 606, 13393, 609, 721, 607, 4166, 607, 2009, 865, 596, 666, 2327, 602, 596, 616, 16706, 538, 513, 1259, 602, 568, 6225, 547, 707, 1072, 563, 7476, 538, 5905, 609, 721, 2221, 547, 8430, 513, 15360, 547, 1294, 952, 14964, 513, 11332, 568, 3983, 585, 707, 1394, 269, 13555, 721, 2228, 610, 2285, 721, 513, 1289, 693, 630, 278, 1691, 264, 476, 23417, 268, 10384, 271, 547, 1118, 707, 13393, 269, 0, 30475, 281, 6396, 2986, 5675, 1323, 4828, 2662, 3421, 1446, 1849, 5847, 6355, 4643, 763, 10266, 614, 2986, 7073, 5020, 1656, 4033, 10749, 8489, 1677, 5192, 19837, 10488, 21940, 29161, 32487, 1280, 29975, 289, 4802, 333, 5441, 23670, 3827, 4828, 454, 5715, 550, 476, 276, 5624, 585, 2034, 543, 7766, 3515, 540, 519, 1482, 7127, 269, 5901, 17511, 2394, 596, 2196, 856, 540, 4055, 693, 519, 1439, 540, 519, 1899, 269, 3115, 11781, 7170, 13201, 2142, 523, 932, 6548, 689, 22731, 1955, 1706, 691, 334, 267, 22956, 563, 20751, 519, 4845, 267, 1533, 519, 2012, 540, 519, 3312, 2707, 563, 12041, 13201, 5565, 610, 2859, 3718, 538, 519, 834, 17582, 24764, 257, 9255, 27571, 10643, 1369, 519, 11239, 8164, 606, 2278, 814, 1079, 610, 811, 1568, 7396, 538, 519, 834, 4103, 11855, 1701, 7151, 281, 2422, 513, 5595, 4704, 950, 835, 2707, 10530, 1776, 563, 2005, 568, 1031, 585, 1382, 4574, 538, 1082, 5049, 693, 6762, 1633, 5441, 267, 1519, 2296, 267, 855, 621, 568, 711, 519, 1152, 1382, 1957, 3898, 269, 7179, 18225, 9137, 689, 513, 18482, 23885, 267, 22630, 269, 3509, 2053, 596, 786, 723, 547, 5077, 513, 5680, 2985, 824, 982, 519, 835, 596, 616, 13156, 547, 2697, 2278, 267, 4266, 267, 543, 5924, 2985, 17404, 563, 14300, 540, 824, 1957, 12043, 1331, 14905, 630, 13563, 16723, 5948, 1070, 9628, 267, 543, 570, 12350, 1014, 269, 834, 297, 10849, 13207, 710, 585, 4563, 9093, 9453, 513, 5441, 4065, 1701, 19822, 20029, 11607, 12914, 269, 25826, 519, 1753, 2985, 610, 2985, 1175, 1354, 519, 835, 596, 616, 13156, 563, 2691, 596, 13712, 1065, 29251, 267, 596, 1590, 1683, 1344, 827, 519, 3312, 2707, 543, 519, 1065, 11781, 2707, 563, 257, 307, 516, 2738, 538, 5441, 645, 16636, 25530, 1282, 513, 11270, 540, 16842, 10644, 27557, 1701, 4750, 540, 1977, 5441, 2657, 476, 2004, 269, 276, 630, 11321, 269, 1280, 1383, 267, 513, 1433, 538, 519, 11534, 3151, 7348, 9557, 10022, 949, 2270, 1344, 602, 729, 8385, 3370, 607, 513, 11356, 2376, 267, 1357, 2985, 267, 543, 513, 4633, 13973, 563, 22711, 9137, 609, 476, 273, 22439, 1855, 321, 2125, 267, 11518, 2044, 543, 8861, 25306, 269, 476, 1220, 278, 2859, 6201, 6423, 519, 27375, 6651, 585, 811, 1806, 563, 16158, 8525, 609, 3143, 8191, 834, 2704, 11533, 781, 8376, 1701, 2405, 1467, 9578, 563, 7312, 4518, 24764, 2985, 1058, 1413, 899, 519, 4605, 2630, 269, 1879, 596, 946, 18825, 3116, 781, 1913, 267, 596, 616, 844, 7627, 873, 269, 1280, 1383, 281, 2986, 782, 519, 3540, 2924, 585, 799, 519, 1158, 814, 17388, 543, 10692, 585, 476, 276, 267, 1822, 1296, 267, 519, 1318, 547, 1451, 568, 17216, 519, 1034, 4909, 1862, 1284, 1590, 31274, 2390, 713, 547, 2285, 938, 1453, 519, 14619, 540, 513, 1376, 799, 786, 16491, 873, 609, 971, 606, 5044, 540, 5013, 543, 971, 606, 10182, 4724, 5168, 602, 789, 666, 723, 513, 1483, 4960, 547, 9794, 1018, 519, 1158, 568, 543, 1018, 922, 3152, 8186, 723, 2219, 621, 1522, 581, 630, 15996, 268, 23211, 1040, 2311, 519, 1439, 540, 707, 1957, 267, 596, 1590, 1683, 513, 3718, 24764, 2985, 602, 8638, 782, 519, 2959, 596, 11855, 538, 707, 1957, 269, 634, 2622, 1772, 25065, 281, 589, 16684, 3778, 540, 519, 26062, 23867, 11416, 269, 7179, 589, 30003, 552, 3883, 1234, 27332, 267, 21142, 267, 543, 20858, 3798, 1409, 3881, 563, 2710, 711, 1331, 2959, 602, 596, 1705, 711, 13712, 538, 707, 1957, 269, 0, 28074, 540, 519, 561, 13831, 814, 12816, 1055, 540, 713, 1101, 15170, 267, 11670, 269, 898, 6603, 513, 8445, 540, 2282, 476, 736, 8536, 9489, 538, 5412, 540, 476, 1001, 278, 543, 814, 1044, 9991, 2479, 2094, 269, 1772, 972, 4376, 3116, 856, 972, 609, 607, 1454, 1761, 607, 11670, 2899, 1185, 286, 634, 811, 594, 1413, 693, 21578, 267, 519, 811, 594, 1589, 649, 949, 723, 513, 17709, 24288, 547, 11670, 563, 1607, 568, 1100, 2883, 18973, 267, 782, 519, 1543, 543, 519, 2093, 1459, 538, 713, 2985, 543, 782, 519, 824, 3817, 540, 519, 3896, 798, 711, 10018, 2883, 1967, 543, 949, 1291, 547, 513, 2530, 540, 707, 2724, 269, 1411, 1058, 2141, 798, 707, 1378, 1813, 31806, 1354, 9467, 610, 3343, 3318, 18973, 563, 5278, 540, 519, 6402, 2139, 538, 713, 2985, 949, 5352, 513, 10243, 585, 519, 2278, 563, 763, 3778, 540, 21578, 454, 292, 20273, 568, 519, 2634, 30512, 540, 513, 6739, 27732, 270, 16467, 518, 3957, 966, 1388, 1731, 1809, 518, 514, 563, 309, 1388, 1731, 11058, 3481, 519, 2856, 585, 1010, 1788, 602, 729, 547, 1831, 21578, 538, 3735, 476, 1001, 274, 267, 827, 2185, 1296, 1310, 519, 10131, 540, 11670, 269, 3571, 2856, 729, 547, 1628, 1007, 5989, 1210, 519, 2035, 540, 519, 9893, 543, 15139, 1436, 269, 769, 824, 1913, 267, 1010, 1788, 1131, 711, 581, 1175, 827, 9304, 563, 5475, 11319, 1010, 2093, 267, 966, 1388, 1731, 729, 2111, 547, 6318, 2724, 547, 2508, 1010, 1788, 538, 5147, 543, 4864, 540, 476, 1001, 275, 998, 606, 1930, 7616, 9029, 269, 901, 1007, 9304, 729, 4712, 547, 581, 5950, 593, 5147, 476, 1789, 540, 476, 1001, 276, 609, 476, 7761, 2929, 661, 750, 547, 581, 7856, 10838, 5461, 18046, 269, 661, 750, 630, 24518, 264, 568, 519, 2012, 540, 519, 15170, 6462, 676, 21578, 269, 1703, 616, 3344, 540, 21578, 602, 1118, 621, 811, 2027, 543, 12316, 982, 11670, 563, 1432, 568, 865, 2027, 827, 21578, 888, 292, 20273, 729, 2141, 5921, 547, 581, 827, 811, 982, 1175, 31427, 563, 763, 21578, 3760, 7028, 1945, 1572, 12829, 20260, 338, 563, 288, 4579, 568, 606, 6876, 1063, 1079, 610, 811, 1004, 547, 28111, 610, 2170, 538, 930, 1259, 269, 901, 9316, 3335, 12034, 519, 4483, 540, 2724, 1063, 6105, 538, 5385, 585, 519, 11865, 540, 5370, 610, 2533, 563, 25187, 14636, 543, 519, 7040, 1062, 616, 3791, 6105, 602, 2291, 547, 17997, 11731, 269, 634, 2856, 3297, 12829, 20260, 338, 568, 547, 1118, 891, 3791, 6105, 32118, 269, 2060, 12829, 20260, 338, 267, 4521, 14636, 543, 30271, 1058, 1100, 3476, 581, 2877, 1317, 519, 4579, 568, 8850, 24451, 3842, 2780, 3009, 563, 288, 12829, 20260, 568, 513, 1982, 602, 666, 581, 23345, 547, 519, 21578, 3060, 543, 568, 7856, 547, 782, 519, 9136, 593, 519, 3060, 269, 5221, 621, 568, 7856, 972, 616, 12215, 10876, 543, 621, 568, 12303, 7543, 585, 519, 1982, 547, 581, 4503, 269, 4746, 267, 606, 1271, 2460, 540, 12829, 20260, 338, 568, 1799, 583, 1464, 269, 4495, 891, 11731, 616, 23345, 267, 899, 3388, 602, 568, 6592, 538, 519, 9893, 789, 666, 711, 581, 4957, 563, 2691, 596, 1589, 540, 875, 891, 12829, 20260, 338, 960, 267, 1589, 540, 513, 642, 2056, 3684, 269, 589, 642, 2056, 3684, 568, 23553, 547, 1491, 1978, 11378, 543, 15814, 513, 1587, 269, 1452, 11378, 616, 538, 519, 1106, 540, 513, 1978, 2179, 540, 2724, 1373, 20024, 883, 519, 3684, 543, 513, 5542, 1373, 1500, 269, 1403, 519, 2724, 3403, 13292, 519, 1942, 540, 519, 5542, 602, 568, 1500 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 8984, 2934, 540, 519, 1250, 322, 21182, 2742, 616, 602, 454, 263, 272, 264, 789, 616, 1454, 4130, 982, 4551, 538, 2450, 454, 263, 273, 264, 789, 666, 581, 6738, 593, 1591, 1863, 1199, 636, 454, 263, 274, 264, 789, 616, 3810, 5418, 25806, 543, 616, 22112, 676, 513, 17784, 30305, 1770, 9245, 454, 263, 275, 264, 782, 540, 519, 1657, 454, 263, 275, 264, 29901, 21182, 2742, 616, 1412, 921, 1755, 16415, 899, 7103, 262, 610, 623, 12195, 302, 267, 799, 3668, 1591, 3774, 543, 723, 1100, 3337, 630, 328, 4318, 1421, 5418, 328, 25806, 264, 1591, 9245, 568, 476, 274, 2000, 599, 1229, 1500, 909, 540, 9067, 24418, 1231, 269, 1358, 941, 1101, 9678, 689, 536, 990, 710, 13265, 267, 7092, 689, 5418, 1755, 335, 12149, 8205, 269, 634, 1480, 26983, 543, 705, 25344, 616, 1631, 1634, 547, 581, 1813, 547, 1250, 322, 21182, 2742, 5563, 540, 519, 2712, 514, 4094, 1388, 8778, 269, 29901, 21182, 2742, 949, 581, 18682, 15577, 6776, 267, 26220, 610, 23633, 269, 1358, 666, 1332, 593, 2528, 2923, 543, 1106, 10125, 269, 1358, 1780, 998, 4551, 31383, 12086, 267, 865, 789, 616, 519, 10545, 267, 1863, 2713, 267, 14471, 269, 0, 21809, 21881, 15278, 543, 6554, 7577, 1312, 616, 519, 1533, 13055, 269, 1703, 568, 513, 2370, 3017, 1063, 519, 1857, 18294, 543, 519, 2229, 2754, 269, 634, 4909, 3017, 1063, 519, 1079, 6013, 593, 519, 4493, 540, 741, 3656, 28431, 543, 12331, 540, 25465, 269, 2368, 540, 519, 3604, 1063, 891, 1079, 3549, 616, 607, 5205, 912, 268, 19725, 281, 6465, 21881, 7577, 568, 4646, 676, 519, 1931, 540, 7022, 610, 2027, 2920, 540, 14618, 610, 2229, 2027, 3921, 12099, 563, 268, 16672, 540, 26318, 281, 15394, 27993, 616, 711, 10294, 538, 1082, 14078, 563, 268, 22312, 540, 2671, 281, 1452, 14078, 3112, 9042, 2671, 547, 519, 1857, 563, 268, 4201, 16860, 281, 6465, 21881, 11283, 725, 2687, 547, 741, 2470, 666, 2972, 13190, 538, 4835, 6927, 563, 268, 20638, 281, 634, 6859, 543, 9165, 540, 2238, 540, 519, 27152, 2754, 616, 5018, 538, 519, 1644, 2238, 563, 268, 2920, 281, 1452, 14078, 616, 6417, 676, 519, 13147, 539, 2920, 543, 18103, 12099, 563, 268, 13317, 281, 6465, 21881, 11283, 725, 616, 4646, 676, 519, 2229, 21856, 267, 10211, 267, 543, 6976, 5346, 3854, 563, 268, 20491, 543, 2359, 281, 6465, 21881, 14078, 616, 13234, 543, 7307, 676, 519, 4604, 540, 19971, 12912, 676, 519, 2229, 454, 268, 12025, 281, 6465, 21881, 14078, 9095, 1804, 538, 2450, 563, 268, 13870, 543, 17392, 281, 31453, 1906, 267, 1034, 540, 519, 27152, 14078, 616, 2047, 1644, 547, 2504, 543, 3892, 540, 2472, 543, 2533, 563, 30025, 17434, 14351, 7577, 454, 268, 19725, 281, 634, 6554, 7577, 568, 4646, 538, 13076, 609, 519, 7577, 2920, 268, 1960, 275, 563, 268, 16672, 540, 26318, 281, 769, 971, 606, 3919, 27993, 616, 10294, 543, 3006, 22429, 8843, 616, 849, 9783, 856, 540, 519, 14425, 563, 268, 22312, 540, 2671, 281, 476, 5392, 260, 8843, 540, 713, 2754, 666, 6133, 547, 9520, 1369, 513, 2197, 543, 13383, 563, 268, 4201, 16860, 281, 6554, 17434, 14351, 7577, 3112, 2972, 519, 9744, 540, 13190, 563, 268, 20638, 281, 634, 6859, 543, 9165, 540, 2238, 540, 6554, 7577, 616, 5018, 538, 519, 6490, 528, 663, 636, 543, 5948, 563, 268, 2920, 281, 6554, 3549, 616, 14931, 676, 519, 14992, 2920, 476, 1960, 275, 563, 268, 13317, 281, 26228, 3854, 540, 6554, 7577, 568, 3177, 676, 519, 2229, 269, 1809, 4357, 9520, 849, 1902, 607, 829, 741, 8843, 563, 268, 20491, 543, 2359, 281, 6554, 3549, 616, 7307, 543, 13234, 676, 513, 4604, 540, 19971, 1519, 2229, 543, 4357, 19971, 269, 1809, 519, 5021, 1297, 540, 519, 4604, 2818, 568, 12912, 676, 519, 2229, 563, 268, 12025, 281, 6554, 3549, 616, 1804, 538, 2450, 855, 4130, 982, 27152, 14078, 563, 268, 13870, 543, 17392, 281, 6554, 3549, 616, 2141, 1644, 547, 2504, 543, 3892, 540, 2472, 543, 2533, 563, 4263, 2063, 267, 649, 666, 2161, 602, 27152, 18294, 543, 6554, 15278, 1312, 9095, 6417, 896, 2229, 28431, 855, 972, 616, 1082, 3604, 1344, 267, 1852, 267, 543, 4238, 269, 0, 3080, 8037, 16252, 1369, 519, 1007, 4808, 568, 519, 1445, 593, 6197, 2242, 1101, 267, 543, 6646, 1152, 952, 2556, 269, 6145, 782, 1199, 338, 267, 1973, 2604, 6527, 2097, 609, 741, 2427, 2360, 267, 865, 621, 779, 2141, 4502, 621, 547, 960, 593, 2732, 267, 3635, 543, 2566, 2359, 1101, 269, 4634, 952, 606, 1367, 11392, 1152, 9864, 2640, 689, 6197, 2242, 267, 621, 949, 1869, 1611, 4389, 6646, 6165, 267, 610, 835, 609, 7864, 2427, 2360, 952, 2556, 269, 3371, 616, 513, 1906, 6197, 2242, 602, 596, 1376, 2221, 547, 2569, 707, 1973, 2604, 6923, 563, 15368, 559, 568, 513, 8949, 10786, 602, 4422, 1134, 538, 513, 3099, 540, 3536, 269, 898, 849, 1522, 948, 2539, 707, 1973, 2604, 269, 769, 23224, 267, 24958, 1349, 814, 1044, 3254, 547, 2539, 1973, 2604, 267, 4352, 1152, 13713, 269, 634, 3114, 552, 1872, 523, 565, 267, 799, 568, 1336, 538, 24958, 267, 949, 3625, 1978, 6878, 602, 9395, 523, 1973, 8043, 269, 901, 949, 1291, 547, 513, 6749, 538, 1973, 2604, 269, 2859, 2090, 616, 2877, 563, 18814, 547, 922, 3668, 540, 2589, 267, 1164, 1973, 2604, 666, 1102, 12787, 3441, 1354, 596, 2461, 1256, 3222, 596, 723, 621, 267, 865, 1810, 1406, 10714, 2834, 1973, 2604, 32182, 269, 6884, 8156, 713, 2783, 3322, 6646, 269, 13185, 547, 707, 4387, 827, 519, 1655, 2126, 3681, 585, 596, 267, 799, 949, 1331, 6646, 267, 6197, 2242, 267, 610, 4244, 5574, 269, 898, 779, 1271, 547, 1865, 1022, 11922, 610, 9360, 609, 707, 4387, 1354, 2921, 873, 269, 3958, 267, 1810, 1406, 3247, 2921, 1022, 11311, 6527, 1510, 6340, 609, 707, 3782, 8502, 563, 22873, 6053, 267, 891, 6527, 941, 1152, 5227, 585, 1004, 4171, 1973, 2604, 25295, 476, 8182, 270, 1911, 6515, 32074, 267, 855, 789, 616, 1631, 22991, 11311, 950, 1973, 2604, 4485, 476, 9610, 270, 3445, 6515, 32074, 267, 1256, 538, 519, 9000, 540, 1022, 3105, 9025, 2680, 269, 6164, 532, 7646, 13119, 609, 5061, 814, 711, 1044, 3254, 547, 581, 2500, 267, 2943, 621, 568, 1455, 2259, 630, 274, 267, 476, 275, 1916, 292, 520, 11379, 268, 543, 13101, 11656, 3536, 269, 8000, 9914, 666, 948, 10038, 707, 2295, 2557, 543, 666, 2569, 519, 1198, 602, 9770, 814, 593, 707, 1973, 2604, 269, 16639, 899, 20397, 267, 5283, 976, 267, 24453, 267, 3284, 878, 1824, 267, 19146, 15606, 267, 10683, 267, 21364, 3039, 5388, 267, 14274, 267, 12277, 267, 6653, 12277, 267, 27966, 267, 13687, 267, 10365, 267, 10808, 267, 543, 5452, 723, 6266, 540, 11379, 269, 13804, 10901, 568, 2219, 547, 948, 1973, 8043, 6001, 267, 1818, 621, 4443, 585, 1973, 547, 1780, 998, 269, 16639, 3638, 538, 13101, 1331, 5388, 267, 10683, 267, 9269, 267, 22053, 267, 543, 2898, 9274, 269, 898, 779, 1732, 547, 1205, 8324, 543, 6886, 689, 1426, 267, 543, 513, 2295, 268, 11794, 2732, 899, 519, 835, 649, 4330, 1657, 568, 513, 1434, 1259, 547, 2327, 596, 1205, 7899, 540, 5567, 269, 1717, 267, 596, 949, 1616, 547, 2911, 547, 707, 4387, 827, 2436, 2921, 1978, 9360, 1522, 948, 707, 1973, 2604, 563, 276, 269, 6875, 11945, 524, 3187, 16693, 269, 769, 1840, 547, 16715, 1973, 2604, 3592, 16074, 267, 11945, 524, 3187, 16693, 814, 513, 16221, 540, 535, 16206, 2640, 269, 11197, 524, 3187, 16693, 2337, 609, 30724, 3878, 267, 2523, 952, 596, 7985, 689, 13165, 269, 898, 849, 865, 582, 1127, 15319, 31462, 1846, 267, 524, 999, 554, 27364, 5725, 14678, 267, 543, 24506, 8501, 269, 4107, 11932, 267, 621, 2337, 609, 2597, 2530, 676, 5355, 10307, 543, 4227, 1216, 12802, 4534, 543, 513, 2635, 2597, 568, 1883, 547, 3339, 1944, 1973, 2604, 563, 16485, 707, 4387, 952, 1970, 19339, 610, 1875, 325, 520, 5144, 568, 1732, 982, 2898, 5144, 585, 596, 269, 19940, 5144, 666, 2539, 1973, 2604, 1732, 982, 1970, 19339, 610, 1875, 325, 520, 5144, 267, 855, 972, 949, 849, 581, 4220, 269, 19940, 5144, 3568, 6022, 2466, 545, 3679, 267, 799, 267, 2687, 547, 930, 2090, 267, 666, 3625, 4835, 6786, 3743, 585, 21363, 1973, 8043, 269, 1306, 513, 1267, 267, 707, 1973, 8043, 3251, 1526, 24071, 543, 707, 1973, 2604, 3788, 1164, 563, 27269, 267, 13119, 666, 2087, 609, 6197, 2242, 269, 769, 930, 2665, 267, 1164, 1973, 2604, 666, 979, 1524, 547, 3339, 2157, 609, 1152, 6197, 12381, 267, 3226, 952, 596, 723, 3942, 476, 272, 13119, 630, 1910, 560, 4301, 1973, 2604, 540, 476, 9873, 6515, 32074, 547, 476, 14689, 6515, 32074, 267, 610, 1019, 770, 4301, 1973, 2604, 476, 3199, 6515, 32074, 547, 476, 4200, 6515, 32074, 1070, 610, 952, 596, 723, 11506, 1973, 2604, 630, 1910, 560, 4301, 1973, 540, 476, 6344, 6515, 32074, 547, 476, 15782, 6515, 32074, 543, 1019, 770, 4301, 1447, 982, 476, 3199, 6515, 32074, 1916, 29730, 11364, 630, 14683, 1973, 2604, 264, 568, 606, 5393, 1455, 2068, 269, 589, 2370, 896, 513, 3368, 267, 610, 476, 2412, 260, 540, 782, 4079, 9907, 476, 1839, 1296, 543, 936, 267, 723, 1164, 1973, 2604, 630, 2865, 540, 873, 23493, 538, 519, 2919, 1158, 1040, 901, 1297, 568, 827, 476, 1789, 260, 585, 2475, 4079, 936, 519, 2085, 540, 476, 1240, 269, 6168, 476, 278, 269, 276, 2929, 1004, 5884, 1169, 1032, 1472, 519, 1158, 689, 4539, 540, 1164, 1973, 2604, 269, 594, 7058, 596, 1205, 1250, 1448, 1862, 15635, 8091, 539, 1164, 1973, 2604, 568, 513, 2462, 4308, 267, 543, 596, 1810, 1405, 1616, 547, 11716, 621, 2336, 6097, 547, 519, 1977, 5441, 540, 9315, 5735, 543, 519, 1977, 9839, 5948, 267, 519, 3804, 540, 1973, 2604, 2126, 568, 547, 12492, 513, 1973, 2604, 2542, 602, 781, 1447, 982, 476, 9873, 270, 3199, 6515, 32074, 30918, 4301, 543, 1447, 982, 476, 3199, 7825, 32074, 1019, 770, 4301, 269, 769, 2489, 267, 952, 596, 723, 13119, 267, 621, 568, 2693, 602, 596, 786, 991, 547, 581, 5701, 585, 519, 8653, 540, 707, 1272, 547, 2226, 713, 3077, 1973, 2604, 563, 5472, 6527, 2097, 609, 513, 1981, 540, 2427, 2360, 267, 865, 1946, 1491, 873, 952, 596, 1810, 1406, 723, 547, 286, 4340, 547, 519, 772, 2529, 269, 15544, 585, 8376, 6513, 543, 10644, 267, 827, 5722, 856, 540, 476, 1015, 772, 2529, 269, 4079, 609, 1164, 1973, 2604, 946, 6527, 547, 1521, 741, 2783, 269, 1809, 1018, 1082, 1004, 1810, 1406, 8275, 568, 602, 596, 666, 948, 1852, 707, 1973, 2604, 6923, 676, 4657, 513, 1906, 3232, 6208, 269, 0, 10048, 814, 1044, 4730, 513, 1883, 1909, 538, 5935, 519, 1604, 609, 1034, 540, 1010, 2238, 9859, 2509, 922, 2949, 12159, 269, 634, 12748, 8134, 267, 799, 7283, 7059, 543, 19448, 26327, 11489, 519, 2038, 2395, 540, 10340, 267, 1205, 6385, 14016, 730, 1813, 547, 2551, 16411, 267, 29267, 785, 995, 12871, 540, 21137, 543, 25487, 2208, 540, 6080, 269, 9291, 687, 540, 17529, 540, 3653, 1216, 689, 4872, 267, 8027, 17260, 267, 6080, 543, 6694, 4610, 616, 16207, 883, 1216, 322, 12973, 4948, 269, 9182, 267, 519, 14498, 540, 1216, 543, 2802, 1108, 540, 1979, 7974, 4540, 972, 514, 723, 1044, 7494, 12219, 269, 1924, 267, 538, 1931, 547, 1445, 519, 2956, 540, 14498, 543, 2802, 1108, 540, 12748, 1979, 7974, 267, 519, 1459, 1433, 814, 1044, 4547, 856, 269, 634, 1459, 1433, 568, 513, 2189, 28094, 540, 476, 3445, 4930, 8329, 676, 900, 5799, 4589, 609, 1114, 10080, 267, 799, 786, 957, 607, 513, 1883, 1532, 13635, 538, 6679, 1007, 642, 16695, 538, 519, 2361, 540, 12748, 1604, 269, 2060, 922, 3498, 20218, 543, 15834, 1935, 267, 519, 1433, 1131, 581, 30140, 3730, 547, 3025, 7231, 609, 12748, 1604, 267, 971, 607, 2160, 3610, 267, 2825, 3744, 267, 4081, 2103, 267, 1099, 4531, 1846, 267, 14761, 267, 3173, 543, 2022, 10927, 1053, 563, 26605, 9664, 267, 769, 476, 273, 4320, 5590, 454, 6944, 757, 11730, 476, 272, 282, 3848, 476, 272, 281, 8278, 984, 1675, 1751, 540, 12748, 1979, 7974, 538, 1978, 15195, 8134, 540, 521, 656, 531, 1612, 1146, 320, 630, 297, 327, 1046, 8518, 1070, 3127, 676, 1488, 341, 785, 27958, 1299, 670, 623, 2871, 24473, 282, 3848, 476, 273, 281, 6052, 1942, 540, 5283, 18982, 2670, 538, 519, 512, 611, 335, 3421, 540, 2890, 1506, 5055, 15022, 1092, 630, 2304, 3120, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 606, 9539, 22844, 267, 932, 269, 1626, 281, 966, 269, 14695, 994, 6097, 547, 1142, 8144, 513, 1007, 2460, 2501, 547, 1769, 602, 2115, 547, 581, 2808, 1247, 3181, 908, 563, 1692, 519, 2262, 554, 1731, 332, 1695, 538, 519, 14235, 666, 581, 14648, 543, 4294, 538, 840, 2286, 454, 10527, 2262, 949, 581, 1031, 538, 782, 891, 12823, 538, 519, 14235, 896, 6085, 563, 2108, 314, 288, 20426, 14171, 621, 538, 519, 2631, 540, 2048, 32474, 685, 610, 2048, 14396, 8730, 519, 14235, 1131, 1611, 602, 12356, 1058, 16436, 1866, 547, 5771, 676, 7440, 1759, 593, 1702, 543, 2601, 543, 1058, 711, 26343, 2933, 8806, 547, 1818, 22587, 547, 27742, 543, 4664, 563, 2108, 314, 289, 20426, 4635, 621, 538, 519, 2631, 540, 2048, 3225, 640, 685, 610, 2048, 3286, 823, 8730, 519, 3614, 4233, 22993, 1131, 581, 602, 267, 950, 19163, 609, 519, 13794, 540, 824, 18321, 338, 267, 7332, 840, 18291, 543, 28773, 1058, 711, 3142, 4464, 971, 1843, 687, 1996, 1346, 18321, 338, 607, 666, 581, 4359, 1996, 5771, 3294, 585, 971, 513, 1576, 568, 711, 1152, 22522, 609, 5126, 267, 855, 568, 849, 5667, 895, 563, 2108, 314, 290, 20426, 1403, 12168, 511, 405, 481, 14534, 29756, 581, 6956, 547, 1611, 2048, 1721, 321, 30970, 685, 610, 2048, 2193, 332, 1890, 8730, 519, 14235, 1131, 1611, 602, 12356, 1058, 2491, 519, 3083, 625, 540, 741, 4984, 609, 9639, 563, 2108, 314, 291, 20426, 14171, 519, 2262, 538, 519, 2631, 540, 2048, 320, 6031, 610, 11407, 598, 14127, 610, 3858, 762, 547, 519, 5168, 267, 543, 538, 13076, 609, 519, 608, 3394, 2886, 540, 519, 8317, 8730, 519, 14235, 1131, 1611, 267, 602, 1247, 18136, 824, 1004, 547, 5771, 12356, 1058, 711, 2161, 4376, 799, 568, 711, 3020, 543, 568, 711, 538, 13076, 609, 5013, 267, 585, 952, 789, 759, 9285, 547, 7301, 3125, 1247, 840, 2286, 5168, 789, 1131, 581, 8297, 1456, 741, 1378, 20339, 538, 1931, 547, 4688, 1346, 540, 1866, 269, 5047, 267, 741, 11407, 1058, 581, 14883, 762, 547, 519, 608, 3394, 2886, 540, 519, 8317, 543, 1058, 711, 10138, 824, 1004, 779, 9144, 4850, 563, 2108, 314, 292, 20426, 14171, 519, 2262, 538, 519, 2631, 540, 2048, 326, 3424, 540, 28897, 8730, 519, 14235, 1131, 1611, 602, 12356, 1058, 16436, 2367, 547, 5771, 676, 1210, 7440, 8659, 538, 519, 20845, 543, 711, 7440, 799, 616, 519, 5137, 540, 741, 1378, 16681, 563, 2108, 314, 293, 20426, 14936, 267, 2921, 519, 2262, 538, 519, 2631, 540, 2048, 6343, 1964, 23230, 689, 17399, 656, 7180, 685, 519, 14235, 1131, 1611, 602, 519, 2911, 540, 12356, 1058, 711, 581, 3564, 519, 8223, 540, 1346, 547, 7247, 519, 9029, 568, 1500, 269, 1358, 1058, 2161, 1919, 799, 949, 948, 547, 8207, 519, 22027, 540, 1866, 543, 711, 4159, 610, 6542, 741, 1378, 15421, 543, 1565, 1848, 630, 296, 321, 573, 8094, 763, 10513, 11330, 515, 1206, 320, 849, 740, 3000, 1639, 840, 18291, 547, 3717, 547, 1004, 2687, 547, 741, 1377, 540, 1620, 269, 630, 298, 11961, 268, 592, 27138, 332, 7356, 267, 14173, 629, 620, 268, 2048, 559, 332, 267, 1295, 7117, 529, 9564, 561, 8584, 336, 19789, 267, 16874, 603, 476, 29848, 6924, 267, 11023, 620, 11860, 582, 984, 620, 268, 8072, 296, 27476, 12011, 344, 1695, 267, 2142, 597, 583, 267, 476, 1220, 275, 267, 5292, 269, 476, 1015, 267, 533, 269, 476, 10755, 994, 763, 2956, 540, 1434, 569, 17938, 677, 566, 538, 840, 2286, 454, 10527, 1913, 267, 2048, 16591, 569, 17938, 677, 566, 685, 1611, 2048, 320, 11407, 799, 2571, 839, 519, 12271, 540, 519, 646, 31600, 543, 2306, 513, 2620, 12705, 593, 873, 10200, 4935, 519, 20845, 17938, 2176, 922, 13794, 711, 547, 1543, 2933, 609, 6071, 4411, 543, 3819, 7744, 855, 547, 12927, 543, 1489, 10952, 4744, 31277, 609, 606, 9029, 547, 27742, 269, 901, 9029, 267, 2705, 267, 1058, 581, 2048, 16591, 569, 17938, 677, 566, 685, 1775, 4318, 269, 621, 1058, 581, 1759, 593, 6986, 5168, 543, 972, 1058, 581, 1100, 7173, 541, 1709, 610, 23984, 27128, 609, 5013, 1848, 630, 26668, 11730, 19410, 776, 267, 896, 2672, 19207, 606, 9539, 22844, 267, 932, 269, 1626, 281, 966, 269, 14695, 994, 763, 4644, 540, 19163, 538, 519, 1655, 1259, 538, 9099, 840, 2286, 454, 10527, 1913, 267, 543, 8044, 609, 873, 538, 513, 1259, 602, 568, 1655, 267, 1611, 602, 1247, 19163, 649, 1058, 1118, 519, 1034, 4396, 543, 796, 817, 9005, 4661, 649, 4865, 607, 519, 22141, 5180, 799, 782, 824, 7440, 1058, 31721, 543, 799, 789, 1058, 1489, 1848, 630, 296, 321, 573, 8094, 5353, 22701, 8404, 689, 2696, 779, 7326, 543, 5583, 538, 840, 2286, 454, 10527, 4082, 267, 774, 344, 7083, 1655, 6487, 1346, 945, 723, 30065, 539, 689, 2507, 15367, 616, 1318, 569, 28621, 3660, 267, 3568, 513, 2262, 540, 19015, 543, 1434, 17869, 585, 519, 7332, 27685, 626, 269, 1261, 568, 5143, 602, 952, 538, 19220, 540, 1010, 1655, 3646, 646, 9060, 602, 1010, 840, 2286, 814, 711, 1185, 519, 5551, 1198, 267, 646, 1058, 711, 1205, 27209, 543, 1589, 602, 1010, 840, 2286, 729, 26843, 267, 855, 1058, 3136, 1010, 15626, 960, 1510, 1793, 871, 2287, 267, 6028, 519, 1267, 547, 2696, 267, 1317, 1261, 4805, 6487, 945, 568, 964, 6326, 543, 30758, 547, 581, 11461, 547, 519, 1318, 2619, 1848, 630, 296, 321, 573, 8094, 10702, 267, 16589, 2829, 538, 2672, 19207, 620, 268, 8072, 2304, 330, 629, 583, 267, 3184, 476, 3066, 267, 14235, 476, 5325, 540, 519, 10513, 20845, 912, 15906, 18247, 12022, 18247, 8294, 12168, 359, 405, 493, 404, 361, 18247, 8294, 21333, 30234, 12022, 405, 493, 15906, 407, 350, 407, 353, 8294, 18457, 18247, 20901, 407, 350, 12022, 18247, 24291, 407, 350, 405, 481, 30234, 20254, 405, 364, 24220, 30234, 18457, 30234, 12022, 18247, 405, 495, 8294, 12168, 357, 30234, 8294, 12022, 18247, 405, 495, 20254, 30234, 18716, 407, 350, 476, 20901, 30234, 18716, 18247, 18457, 18247, 404, 511, 407, 350, 25078, 18247, 14180, 405, 493, 476, 405, 511, 407, 500, 18457, 30234, 12022, 18247, 405, 495, 8294, 24291, 18247, 405, 495, 404, 364, 30234, 18716, 407, 350, 14180, 18247, 12168, 372, 18247, 12022, 18247, 14534, 405, 493, 15906, 407, 350, 8294, 27755, 30234, 14180, 407, 350, 20901, 405, 493, 14534, 407, 350, 476, 15906, 18247, 28405, 405, 493, 15906, 407, 350, 12022, 405, 493, 15906, 407, 350, 407, 353, 8294, 18457, 405, 364, 14534, 18247, 14180, 18247, 405, 495, 8294, 12168, 357, 30234, 8294, 12022, 18247, 405, 495, 404, 364, 30234, 18716, 407, 350, 407, 353, 18457, 405, 493, 14180, 407, 350, 404, 366, 30234, 12022, 18247, 18457, 30234, 12022, 18247, 18716, 407, 350, 14180, 18247, 8294, 476, 15906, 18247, 8294, 405, 493, 14180, 407, 350, 404, 366, 30234, 12022, 18247, 18457, 30234, 12022, 18247, 18716, 407, 350, 405, 481, 405, 493, 14534, 407, 350, 476, 15906, 18247, 8294, 30234, 12022, 405, 364, 405, 478, 20901, 405, 493, 14180, 18247, 8294, 476, 15906, 18247, 8294, 30234, 12022, 405, 364, 405, 478, 20901, 405, 493, 405, 481, 405, 493, 14534, 407, 350, 476, 15906, 18247, 8294, 404, 511, 30234, 21333, 405, 490, 476, 15906, 18247, 405, 495, 14180, 18247, 404, 511, 407, 350, 14180, 405, 493, 476, 12022, 18247, 20901, 405, 501, 27755, 405, 493, 25078, 407, 350, 12022, 30234, 14534, 405, 493, 15906, 407, 350, 14180, 18247, 454, 2108, 4517, 8044, 711, 609, 519, 4658, 540, 519, 3883, 4849, 609, 1018, 568, 1655, 282, 1496, 8117, 8044, 711, 693, 782, 609, 316, 971, 540, 873, 607, 616, 24407, 269, 1656, 2161, 267, 2048, 2171, 3494, 538, 602, 799, 814, 1044, 7000, 547, 721, 543, 602, 799, 814, 1044, 7000, 547, 596, 282, 543, 938, 2696, 543, 707, 2696, 568, 835, 282, 543, 547, 13924, 649, 10505, 10200, 7536, 26139, 267, 538, 519, 12866, 11730, 19410, 776, 267, 621, 568, 6045, 912, 10527, 14235, 23933, 1524, 513, 1360, 3280, 6240, 547, 3391, 721, 538, 3909, 15784, 543, 950, 840, 2286, 938, 18321, 547, 1866, 269, 1284, 1058, 2253, 938, 840, 2286, 676, 18413, 2566, 593, 1346, 4978, 543, 3909, 3741, 799, 616, 1455, 1063, 721, 543, 938, 10779, 776, 1848, 630, 26668, 11730, 19410, 776, 267, 896, 2672, 19207, 620, 268, 8072, 2304, 330, 629, 583, 267, 932, 269, 3066, 281, 966, 269, 5325, 994, 4517, 538, 519, 1360, 1482, 14235, 16589, 19528, 1776, 1271, 543, 19765, 13846, 2460, 540, 3181, 908, 281, 3274, 711, 547, 8044, 609, 1346, 945, 616, 24407, 563, 4517, 3976, 267, 840, 2286, 538, 513, 1434, 6073, 267, 609, 1434, 569, 17938, 677, 566, 267, 1210, 4396, 7440, 267, 543, 13267, 547, 27742, 267, 568, 1898, 585, 2500, 9099, 840, 2286, 269, 901, 1935, 267, 607, 6026, 676, 519, 10513, 20845, 267, 666, 21352, 519, 12271, 540, 519, 19700, 543, 4734, 513, 2620, 12705, 593, 873, 267, 3056, 547, 513, 3152, 10171, 540, 873, 6616, 741, 29763, 563, 310, 529, 3256, 267, 711, 10800, 731, 823, 454, 2005, 568, 849, 1271, 547, 1832, 538, 2247, 602, 7326, 1281, 711, 1226, 622, 547, 10800, 731, 823, 610, 9420, 569, 3858, 532, 609, 1945, 602, 568, 21739, 4636, 269, 2755, 649, 1058, 711, 4497, 538, 11991, 7526, 267, 649, 1590, 2141, 2769, 938, 10752, 543, 16752, 609, 7326, 269, 898, 568, 1898, 602, 649, 2760, 14207, 593, 5168, 6888, 856, 540, 4250, 540, 11685, 269, 1306, 519, 8871, 2213, 31050, 553, 814, 3746, 2213, 538, 3875, 8320, 267, 5168, 6888, 31438, 1256, 17321, 538, 519, 3068, 540, 11685, 543, 8761, 922, 3020, 14996, 775, 269, 630, 2690, 513, 2143, 11407, 593, 713, 1641, 267, 1294, 11016, 590, 1069, 517, 267, 476, 279, 5181, 476, 1001, 278, 693, 8940, 269, 23653, 4594, 3820, 11721, 27518, 1606, 1069, 517, 270, 1001, 278, 268, 6021, 268, 5400, 11258, 994, 763, 8871, 2213, 31050, 553, 2829, 912, 10527, 3483, 540, 519, 14235, 267, 2048, 663, 8044, 609, 873, 538, 513, 1259, 602, 568, 1655, 685, 1496, 306, 3120, 327, 606, 9539, 22844, 267, 932, 269, 1626, 281, 966, 269, 14695, 316, 568, 711, 602, 649, 1058, 581, 865, 7003, 1304, 607, 547, 6166, 7301, 3125, 676, 1259, 540, 1166, 19495, 269, 2052, 649, 1289, 513, 1268, 22233, 945, 6811, 2820, 6541, 543, 934, 4926, 938, 11619, 12310, 320, 540, 14084, 267, 543, 7125, 18171, 7806, 4053, 320, 553, 513, 555, 3971, 286, 1772, 713, 1018, 621, 1797, 547, 2048, 1173, 826, 538, 519, 1655, 1259, 685, 286, 25999, 711, 269, 5502, 267, 621, 568, 513, 23314, 540, 3834, 4531, 19192, 543, 771, 10964, 3971, 1848, 630, 307, 597, 5984, 336, 268, 592, 29841, 592, 889, 267, 22859, 7315, 328, 10609, 1794, 664, 267, 5292, 269, 476, 1428, 267, 533, 269, 476, 25134, 267, 3723, 16694, 264, 0, 13070, 3472, 675, 30359, 538, 21600, 454, 13070, 3472, 675, 568, 606, 1271, 851, 540, 519, 21600, 4346, 267, 7700, 936, 1269, 272, 269, 277, 5479, 538, 5993, 8907, 543, 3246, 5176, 476, 1015, 267, 1822, 6009, 269, 634, 5823, 568, 13856, 676, 12418, 543, 28419, 2504, 267, 799, 6589, 585, 811, 982, 3368, 540, 519, 1533, 779, 6694, 3977, 269, 4033, 2101, 21113, 1331, 18720, 267, 620, 325, 2788, 320, 267, 10568, 267, 24061, 267, 12277, 267, 19637, 267, 13342, 267, 10683, 2472, 267, 543, 5798, 269, 21600, 568, 1753, 547, 930, 540, 519, 4102, 12418, 4238, 538, 519, 2475, 543, 814, 513, 1804, 1297, 540, 13265, 678, 4545, 1667, 269, 634, 1533, 849, 7472, 513, 3099, 540, 5613, 543, 5388, 1519, 13212, 267, 890, 2851, 267, 10027, 1845, 14274, 267, 23601, 543, 5283, 976, 269, 769, 1840, 547, 922, 13184, 2504, 2238, 21600, 6705, 849, 11349, 9174, 18683, 607, 1134, 607, 3132, 9932, 543, 3284, 25808, 2472, 563, 268, 9474, 289, 3918, 309, 8656, 3582, 293, 18853, 2207, 281, 5510, 619, 513, 1592, 540, 782, 2453, 602, 616, 28484, 607, 715, 309, 267, 1519, 519, 1533, 2012, 540, 21600, 563, 763, 6694, 2872, 538, 21600, 8188, 3875, 2591, 1813, 547, 922, 10859, 268, 541, 573, 2916, 799, 5932, 7965, 585, 7693, 14713, 269, 1677, 948, 6705, 11883, 609, 713, 3390, 1585, 2229, 3292, 723, 1044, 2919, 547, 1683, 6351, 609, 12555, 1949, 607, 1134, 607, 824, 2200, 971, 607, 11641, 1852, 2533, 269, 769, 1840, 547, 891, 3646, 519, 1533, 814, 849, 8045, 1896, 1216, 5726, 7341, 1519, 1216, 2924, 16306, 689, 824, 2829, 543, 3384, 811, 3608, 12555, 1949, 269, 1452, 3646 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3293, 593, 519, 3177, 1579, 12028, 269, 4279, 2462, 22645, 8038, 2483, 274, 6113, 910, 476, 277, 628, 10439, 1299, 27400, 8551, 454, 305, 10718, 8535, 5999, 8893, 14136, 454, 11754, 513, 8223, 4199, 547, 513, 1770, 593, 519, 11193, 610, 2575, 540, 519, 11193, 1974, 269, 5664, 30595, 2626, 5216, 8223, 2055, 543, 2347, 4557, 3606, 2055, 538, 1931, 547, 6445, 856, 513, 30573, 11015, 563, 277, 628, 910, 476, 279, 628, 4317, 5525, 1299, 3778, 454, 18662, 540, 9412, 519, 28042, 281, 4065, 6651, 8893, 14136, 454, 6546, 2025, 6752, 539, 4224, 543, 5066, 2501, 9800, 607, 16222, 6575, 1053, 5965, 547, 7390, 513, 2661, 2773, 540, 519, 7574, 3427, 540, 9412, 269, 13268, 539, 609, 1312, 840, 268, 543, 2022, 1790, 3174, 2326, 267, 519, 3391, 814, 621, 782, 269, 9412, 593, 2336, 277, 628, 910, 476, 1321, 628, 2296, 5678, 8551, 18938, 281, 24623, 454, 763, 21478, 540, 5824, 8535, 538, 5403, 8705, 1715, 3840, 4975, 8893, 14136, 454, 24523, 814, 1419, 1044, 1572, 519, 3486, 1893, 602, 25186, 4529, 543, 4525, 269, 18623, 5659, 519, 1764, 540, 5824, 1977, 2575, 593, 1715, 3840, 4975, 2528, 538, 519, 1296, 1739, 2622, 2782, 4083, 269, 1358, 1382, 2575, 267, 3381, 31972, 277, 628, 910, 476, 1321, 628, 2296, 5678, 8551, 18938, 281, 23850, 454, 16631, 540, 8535, 8893, 14136, 454, 1432, 666, 2257, 543, 2575, 7654, 723, 538, 1455, 286, 589, 2603, 811, 982, 596, 1522, 1589, 269, 6651, 1762, 3744, 998, 606, 3408, 540, 891, 1079, 3100, 569, 1114, 5396, 609, 513, 2168, 2257, 4199, 1759, 593, 9291, 715, 6614, 519, 3163, 2483, 275, 628, 910, 476, 1015, 628, 3163, 18938, 281, 24623, 454, 24591, 519, 8535, 19270, 1068, 338, 281, 20668, 476, 272, 1299, 476, 273, 8893, 14136, 454, 24523, 7192, 20601, 15606, 19665, 1402, 2575, 883, 676, 7574, 11964, 610, 6163, 269, 1358, 6218, 519, 2318, 543, 2258, 2510, 540, 10319, 12644, 267, 2070, 12415, 540, 966, 295, 272, 781, 834, 24591, 519, 8535, 257, 13447, 267, 543, 1865, 519, 7965, 540, 11008, 1944, 2483, 278, 628, 910, 476, 1321, 628, 10439, 1299, 27400, 8551, 0, 763, 2278, 538, 1010, 3409, 2829, 602, 519, 11864, 540, 17833, 27323, 11866, 1831, 17255, 1317, 540, 2916, 610, 824, 2825, 2188, 543, 3425, 1185, 1100, 1909, 538, 741, 14486, 269, 9282, 519, 4661, 4667, 26363, 621, 568, 1759, 593, 1082, 7301, 10054, 563, 763, 2278, 17648, 602, 2094, 1100, 3135, 723, 2943, 1044, 4362, 609, 1804, 25850, 7633, 3425, 666, 723, 711, 32170, 873, 269, 3807, 1317, 1100, 971, 4609, 616, 2943, 1336, 267, 621, 1281, 711, 1611, 602, 3425, 1705, 711, 6968, 873, 269, 901, 8343, 1223, 723, 824, 2009, 7778, 269, 3689, 972, 568, 513, 7872, 602, 971, 513, 3135, 1223, 581, 1336, 538, 519, 2104, 269, 5822, 267, 2094, 7633, 540, 1804, 11864, 616, 1360, 2178, 267, 621, 1223, 723, 1044, 1031, 676, 519, 3425, 538, 1818, 610, 23788, 267, 9604, 543, 1256, 741, 8075, 2864, 982, 1167, 8973, 873, 1310, 11318, 519, 11864, 269, 1703, 568, 849, 1447, 9355, 827, 519, 3948, 602, 7633, 540, 1804, 11864, 941, 711, 1336, 267, 621, 1223, 1611, 602, 7633, 540, 4130, 11864, 941, 1336, 267, 799, 1131, 2303, 3425, 723, 32170, 873, 269, 1403, 519, 2278, 1185, 3177, 3877, 827, 519, 2326, 602, 941, 1031, 676, 519, 11317, 540, 17833, 27323, 10195, 543, 4824, 519, 9355, 540, 3948, 607, 547, 2436, 1507, 25850, 7633, 941, 1336, 610, 711, 519, 4661, 1131, 723, 1044, 6793, 563, 4131, 721, 8263, 602, 519, 3425, 1705, 711, 6968, 519, 11864, 269, 3973, 849, 3425, 1223, 581, 3743, 585, 741, 14486, 269, 634, 2278, 3081, 602, 972, 568, 1100, 2963, 6029, 3425, 1185, 1022, 1713, 3346, 609, 519, 11864, 269, 1403, 972, 568, 1100, 3346, 609, 3425, 607, 2278, 2798, 856, 267, 1287, 849, 3425, 1223, 723, 1044, 3743, 585, 741, 14486, 269, 634, 3425, 593, 8757, 519, 6532, 1522, 723, 2759, 1524, 519, 4104, 585, 6683, 269, 901, 1223, 1291, 547, 519, 2530, 540, 7226, 585, 519, 11864, 269, 634, 3425, 1522, 723, 3964, 741, 17260, 2282, 8933, 267, 799, 1223, 723, 29572, 539, 519, 11864, 946, 540, 1216, 269, 1924, 267, 538, 930, 1259, 3425, 941, 1818, 519, 1272, 2352, 585, 519, 11864, 676, 21006, 741, 7226, 267, 28142, 873, 1569, 547, 1216, 269, 2353, 891, 1223, 723, 3366, 547, 741, 14486, 269, 1924, 267, 3425, 1522, 581, 3743, 563, 2252, 2916, 1689, 8197, 729, 519, 2014, 585, 14486, 267, 1946, 729, 519, 1480, 2551, 711, 4299, 676, 891, 2242, 269, 1403, 972, 729, 513, 2916, 1689, 1480, 2551, 1131, 849, 723, 1044, 4299, 563, 7712, 519, 4661, 540, 2278, 568, 1759, 593, 1082, 19451, 10054, 267, 621, 568, 711, 8209, 3020, 602, 3425, 941, 711, 3743, 585, 519, 14486, 540, 11864, 538, 519, 17833, 27323, 11866, 269, 0, 19322, 1630, 742, 1231, 9514, 909, 9149, 268, 4002, 9075, 543, 4670, 519, 13621, 7601, 454, 1607, 568, 1946, 22255, 26785, 568, 11291, 532, 6056, 303, 6758, 454, 21581, 5177, 1630, 742, 1231, 723, 3144, 513, 2673, 5346, 540, 1018, 4523, 609, 9149, 23760, 9075, 950, 789, 1205, 3905, 896, 519, 27897, 267, 543, 621, 781, 454, 4913, 267, 519, 2160, 5441, 5507, 1630, 742, 1231, 2161, 1034, 2079, 540, 6007, 11642, 814, 1445, 338, 539, 593, 2324, 1018, 5949, 1310, 519, 1249, 267, 1210, 2473, 11920, 11632, 18767, 547, 1491, 11979, 2592, 543, 5635, 1346, 547, 9075, 5665, 7363, 563, 2005, 781, 15983, 1454, 811, 1187, 547, 946, 513, 2462, 2257, 3684, 1107, 538, 713, 2013, 519, 3864, 14271, 577, 8527, 1258, 1107, 547, 7001, 1483, 6066, 2592, 267, 543, 602, 781, 1018, 519, 772, 12710, 2319, 267, 519, 2817, 8447, 12524, 543, 15875, 5441, 5507, 723, 2944, 563, 19853, 2592, 7001, 519, 1184, 540, 8143, 2196, 12537, 607, 32717, 3620, 1952, 839, 267, 519, 772, 12710, 5305, 3081, 563, 763, 1353, 5916, 1164, 20589, 5348, 577, 8527, 1258, 2473, 11920, 2592, 543, 8143, 2592, 267, 6941, 25719, 2875, 667, 4689, 20963, 1146, 540, 772, 12710, 11906, 7177, 267, 968, 1729, 4786, 2242, 547, 519, 4835, 2497, 543, 5007, 2837, 540, 1079, 2010, 540, 9149, 23760, 9075, 607, 649, 6534, 873, 547, 3665, 2157, 540, 3002, 9731, 763, 26755, 729, 519, 4090, 540, 8143, 2196, 12537, 267, 519, 4090, 950, 519, 6007, 4422, 689, 1373, 968, 320, 3787, 3636, 892, 547, 968, 2129, 22946, 267, 1250, 27890, 616, 593, 3595, 28461, 7775, 267, 547, 581, 811, 3621, 281, 950, 519, 9075, 2736, 1524, 608, 1278, 332, 1227, 267, 789, 5352, 513, 2603, 540, 3002, 269, 4595, 602, 3002, 666, 1405, 9101, 267, 519, 6007, 23119, 513, 21472, 5821, 563, 1432, 519, 1630, 742, 1231, 19481, 3769, 22836, 540, 3154, 8108, 543, 5887, 532, 3330, 519, 6007, 269, 1358, 849, 1336, 602, 609, 519, 1318, 4835, 1489, 267, 513, 6007, 666, 2611, 5266, 16856, 538, 519, 2196, 12537, 1184, 1107, 909, 2394, 1472, 476, 272, 267, 1822, 9180, 950, 519, 7601, 24268, 563, 24685, 4334, 267, 519, 6007, 1510, 606, 4835, 1489, 1011, 10757, 4929, 519, 3003, 1698, 540, 519, 6007, 547, 1033, 778, 543, 922, 9115, 547, 30275, 269, 13405, 547, 8143, 2196, 12537, 267, 519, 17401, 14095, 4295, 25540, 267, 2810, 519, 1981, 540, 4049, 4835, 2110, 11387, 543, 3441, 547, 30240, 3615, 5608, 519, 6280, 3081, 563, 763, 960, 814, 1044, 3370, 538, 7186, 18058, 630, 514, 2407, 1934, 1916, 2026, 20963, 1146, 6941, 538, 519, 3381, 2630, 267, 968, 933, 6836, 547, 18082, 513, 2039, 540, 6057, 2175, 267, 689, 9793, 5210, 909, 547, 3843, 547, 18082, 513, 3595, 6100, 1656, 945, 9327, 1405, 2648, 547, 723, 519, 4960, 547, 2119, 543, 16196, 602, 4603, 286, 2485, 362, 0, 19350, 596, 262, 26270, 1265, 938, 8638, 540, 7792, 5037, 15494, 3211, 269, 18918, 707, 1053, 609, 891, 2776, 298, 7216, 19974, 7335, 24366, 6096, 269, 2776, 18856, 3425, 616, 5156, 547, 723, 1031, 30143, 267, 1500, 269, 4804, 1296, 2238, 585, 476, 275, 1032, 31545, 25258, 609, 9656, 7792, 849, 840, 1568, 2085, 1296, 476, 274, 4976, 3239, 1297, 476, 15704, 4097, 840, 3211, 4466, 1463, 3615, 4976, 942, 7792, 7005, 3211, 585, 1032, 20410, 524, 552, 536, 1647, 513, 1647, 17093, 764, 3446, 6863, 3211, 7005, 585, 1032, 476, 279, 7792, 31545, 524, 918, 326, 272, 2296, 6096, 631, 3437, 541, 29222, 15026, 269, 1358, 616, 7318, 593, 741, 1702, 1647, 540, 18685, 2073, 6863, 267, 16105, 267, 15340, 267, 10259, 8231, 13029, 6165, 269, 1452, 4712, 268, 547, 268, 946, 7792, 1296, 3211, 786, 948, 596, 12927, 2035, 543, 1449, 707, 1053, 262, 8223, 269, 1717, 607, 2038, 607, 1296, 476, 1789, 267, 476, 1822, 1296, 3516, 544, 3821, 1166, 1389, 941, 1031, 547, 2285, 13946, 10367, 513, 1350, 7867, 532, 1296, 5920, 269, 769, 1931, 547, 1118, 513, 19432, 267, 596, 991, 547, 9192, 1079, 1913, 1927, 883, 835, 563, 29557, 12698, 630, 476, 6812, 269, 8058, 532, 1283, 476, 279, 3211, 538, 519, 7121, 910, 2296, 5664, 13012, 2201, 715, 10494, 269, 634, 2413, 2296, 2262, 834, 1350, 7867, 257, 2501, 689, 519, 5664, 2296, 2262, 1350, 527, 7967, 267, 7654, 676, 1259, 540, 519, 1647, 6196, 25245, 2262, 1350, 527, 571, 269, 1325, 874, 12185, 11352, 910, 10925, 1296, 5022, 7005, 2582, 1913, 267, 1079, 1913, 538, 21229, 12185, 1931, 269, 7792, 3794, 7867, 532, 7252, 723, 1044, 1336, 547, 581, 1031, 2094, 22300, 2053, 519, 6575, 538, 30143, 269, 5729, 835, 6096, 543, 1647, 28826, 269, 3776, 1647, 1032, 835, 3211, 616, 513, 1390, 1259, 585, 7005, 707, 2370, 15226, 547, 1020, 13654, 2542, 2073, 1603, 267, 13004, 1983, 607, 789, 26821, 741, 5386, 5179, 1983, 1451, 547, 1445, 593, 513, 1808, 4305, 563, 763, 2238, 585, 2296, 616, 5497, 547, 1683, 1489, 585, 1053, 3384, 1702, 1620, 267, 1983, 269, 2382, 656, 1569, 1296, 547, 31369, 3992, 4566, 14565, 540, 960, 267, 4879, 267, 7792, 17948, 338, 267, 4199, 24502, 267, 7317, 2238, 3450, 2093, 693, 3828, 1074, 331, 256, 589, 19432, 568, 513, 27571, 4528, 540, 519, 2854, 543, 9275, 3029, 540, 513, 2262, 269, 2296, 960, 9212, 7792, 1647, 1296, 269, 7792, 22843, 6096, 268, 9906, 5431, 2681, 267, 2328, 5022, 602, 616, 1007, 547, 873, 269, 5131, 29329, 2296, 1647, 6096, 563, 3849, 14620, 3211, 4976, 593, 10503, 1913, 585, 3446, 476, 273, 873, 543, 2119, 547, 4194, 476, 277, 7005, 4605, 2990, 3211, 476, 275, 9087, 3211, 7792, 840, 2380, 542, 3446, 476, 273, 585, 476, 276, 4195, 2189, 533, 923, 7005, 476, 275, 1965, 331, 7792, 7792, 3211, 840, 21752, 3214, 8239, 4976, 585, 3446, 476, 273, 18008, 2259, 512, 338, 804, 512, 7005, 585, 476, 276, 1032, 1296, 31545, 3211, 29757, 269, 5131, 26613, 15026, 18049, 15858, 5403, 619, 267, 18500, 6096, 267, 8342, 9061, 5320, 2073, 16514, 667, 17152, 267, 570, 2464, 5357, 10049, 267, 661, 14566, 20113, 267, 11536, 5357, 13658, 8240, 267, 6478, 9612, 10658, 26072, 267, 2296, 9752, 2073, 18873, 267, 631, 10248, 20113, 2073, 4804, 8249, 267, 20700, 307, 11242, 267, 661, 3201, 7435, 8083, 267, 570, 9128, 299, 5999, 18044, 11568, 1280, 7005, 8866, 269, 1912, 9582, 6096, 1299, 28826, 269, 2296, 5664, 13012, 1647, 1647, 2201, 1647, 1296, 715, 10494, 269, 5131, 16504, 2296, 6096, 269, 1452, 3211, 941, 3144, 689, 519, 8262, 18049, 3883, 1851, 1866, 269, 2659, 1126, 666, 1628, 713, 5578, 1082, 2081, 267, 835, 1647, 540, 799, 568, 998, 938, 5318, 5542, 540, 4116, 7005, 2813, 18551, 3211, 563, 4002, 891, 3211, 267, 1053, 1590, 3442, 519, 1655, 1259, 1647, 547, 2953, 6959, 12006, 538, 519, 2016, 5037, 269, 740, 268, 1863, 1569, 547, 7005, 782, 540, 269, 2296, 960, 9212, 7792, 1647, 1296, 269, 6096, 7005, 689, 519, 8262, 7734, 269, 5729, 476, 275, 2296, 6096, 5131, 15026, 1519, 6863, 543, 2262, 6165, 269, 7792, 2552, 10330, 6096, 2552, 10330, 6096, 6657, 269, 1403, 596, 6999, 267, 596, 666, 4647, 519, 30810, 540, 891, 2835, 1647, 593, 519, 2296, 6092, 7734, 2985, 269, 5131, 15026, 6096, 689, 281, 1296, 8262, 18049, 3883, 269, 1530, 3517, 540, 519, 5729, 631, 10248, 8018, 563, 24375, 940, 5664, 7736, 8018, 269, 2368, 540, 519, 3211, 10268, 616, 2296, 8239, 960, 8342, 609, 8239, 267, 18049, 267, 1296, 18781, 267, 476, 280, 1296, 1770, 17205, 267, 1520, 14620, 2073, 20668, 540, 4633, 960, 267, 18049, 960, 6281, 1153, 4303, 476, 272, 17205, 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, 763, 2956, 540, 3608, 1239, 6881, 713, 5796, 1376, 707, 6881, 609, 4282, 543, 8404, 585, 707, 1382, 960, 269, 3194, 1239, 2359, 4145, 519, 13539, 540, 1239, 267, 689, 922, 7127, 547, 519, 1382, 4783, 998, 547, 519, 23425, 543, 2895, 1516, 540, 3407, 269, 6258, 827, 519, 2468, 836, 1637, 540, 1239, 543, 519, 1034, 1455, 2010, 540, 1239, 2468, 836, 1637, 602, 2709, 14911, 1382, 585, 707, 1957, 563, 3080, 3247, 3070, 585, 1445, 1895, 1519, 6725, 1382, 5619, 782, 707, 5619, 1382, 543, 5619, 2079, 2115, 3144, 1416, 609, 25932, 3318, 1143, 269, 11957, 540, 1239, 519, 2702, 547, 5659, 543, 957, 593, 1239, 568, 5051, 1271, 547, 4213, 2445, 3119, 1239, 585, 1382, 538, 1870, 269, 5851, 9732, 2228, 1382, 9732, 2468, 836, 1637, 543, 922, 2956, 538, 1382, 18791, 519, 17258, 543, 14496, 540, 519, 1239, 543, 5012, 547, 6793, 1382, 1374, 269, 13628, 267, 949, 476, 1704, 1107, 476, 1015, 281, 1789, 993, 4986, 9727, 519, 740, 720, 602, 513, 968, 335, 27348, 568, 4502, 513, 8536, 1913, 892, 1732, 982, 519, 2259, 543, 946, 540, 14839, 538, 563, 763, 2956, 540, 1930, 1239, 543, 3301, 281, 568, 1648, 1382, 18848, 3101, 3297, 269, 1403, 1239, 4987, 729, 1271, 519, 2956, 540, 1239, 538, 519, 2069, 5823, 2230, 6066, 1382, 1472, 519, 1158, 269, 4813, 1637, 540, 513, 1382, 1966, 568, 519, 1101, 543, 519, 1034, 1271, 3268, 538, 519, 1382, 1353, 596, 1058, 917, 875, 547, 25666, 513, 1434, 1382, 1966, 269, 3194, 1239, 2359, 543, 4687, 689, 519, 6280, 540, 5087, 1286, 565, 2088, 693, 32724, 14629, 267, 519, 6280, 540, 1196, 23844, 713, 1576, 786, 1683, 6267, 563, 2690, 713, 2601, 267, 1775, 2141, 11168, 547, 1250, 6267, 602, 538, 2713, 538, 519, 2413, 2486, 2221, 835, 1590, 8275, 519, 2956, 540, 1382, 585, 1480, 6668, 269, 4208, 568, 2344, 1382, 1271, 585, 707, 1870, 1870, 2344, 1382, 568, 519, 1184, 540, 10655, 1239, 547, 3313, 2436, 513, 1880, 1587, 4882, 16291, 786, 269, 589, 2518, 1036, 3588, 540, 1382, 1239, 1065, 21627, 1559, 602, 6227, 519, 3728, 560, 1846, 3135, 2488, 2656, 1569, 547, 7194, 593, 3584, 540, 1857, 1072, 2956, 543, 568, 269, 2552, 9009, 547, 2442, 3661, 267, 1382, 991, 711, 1152, 829, 1555, 1152, 547, 2257, 979, 998, 713, 2376, 547, 1174, 519, 2956, 540, 1382, 538, 782, 21384, 540, 1272, 563, 3963, 2932, 15938, 1382, 3605, 1101, 11804, 875, 1382, 8309, 547, 519, 13120, 540, 1480, 1702, 1995, 513, 1689, 540, 10605, 689, 6101, 269, 5683, 3009, 540, 1239, 4015, 544, 19241, 476, 277, 1556, 1870, 1382, 2079, 12354, 3426, 476, 276, 267, 476, 1001, 275, 513, 1867, 593, 5683, 3009, 540, 1239, 4015, 5683, 3009, 568, 4105, 547, 1022, 5619, 269, 634, 2956, 540, 3332, 2689, 538, 1382, 1603, 1247, 27696, 2689, 12116, 519, 1382, 2409, 4805, 1765, 3712, 3005, 540, 1239, 27260, 763, 2956, 540, 1514, 1382, 3783, 3777, 29560, 476, 278, 875, 798, 649, 917, 1018, 649, 917, 2245, 267, 4984, 267, 4031, 267, 1239, 1281, 3777, 29560, 1459, 602, 4161, 971, 269, 589, 2487, 1353, 676, 737, 656, 541, 512, 985, 267, 513, 2344, 1382, 1895, 267, 1336, 602, 476, 4817, 260, 540, 9702, 16234, 1433, 532, 15143, 547, 575, 872, 576, 1101, 21503, 2228, 476, 7830, 260, 540, 782, 14666, 269, 11957, 540, 1620, 543, 948, 596, 547, 8308, 1174, 519, 1239, 602, 568, 4843, 538, 513, 1382, 519, 2956, 540, 1620, 1382, 269, 0, 14240, 540, 31077, 2962, 950, 519, 476, 276, 628, 5547, 5480, 540, 22587, 13351, 1524, 31077, 2962, 538, 2852, 23504, 31077, 2962, 31077, 269, 5999, 827, 2152, 538, 519, 3377, 585, 1053, 476, 1724, 543, 4587, 519, 18678, 5480, 12199, 593, 512, 11698, 602, 544, 747, 10247, 779, 7333, 593, 31077, 2962, 693, 1857, 9945, 729, 13338, 824, 2829, 723, 2147, 536, 753, 267, 543, 811, 949, 1246, 9290, 798, 596, 1489, 31077, 2962, 538, 2852, 23504, 269, 901, 2985, 2488, 513, 4282, 540, 31077, 2962, 543, 606, 7650, 540, 519, 7521, 519, 946, 540, 5198, 607, 513, 3815, 538, 519, 2852, 23504, 1184, 814, 563, 763, 5480, 814, 8815, 547, 1491, 1776, 1413, 693, 513, 4161, 547, 519, 946, 540, 5198, 538, 23504, 3664, 676, 519, 6280, 540, 751, 343, 553, 693, 28191, 514, 267, 2847, 1516, 513, 4161, 547, 31077, 2962, 538, 2362, 2069, 269, 8080, 547, 519, 23291, 1923, 31077, 2962, 538, 2852, 23504, 676, 556, 28136, 26453, 518, 543, 737, 520, 773, 3046, 869, 649, 1590, 9004, 31077, 2962, 538, 519, 2852, 23504, 269, 4173, 29194, 593, 2852, 23504, 5956, 609, 519, 606, 31077, 2962, 3609, 602, 2636, 23504, 26639, 547, 2015, 519, 5198, 540, 17053, 563, 288, 742, 3305, 894, 2962, 3989, 543, 6045, 609, 1806, 31077, 568, 513, 1305, 540, 5773, 5497, 547, 9004, 31077, 2962, 538, 2852, 23504, 269, 5131, 1557, 593, 31077, 2962, 538, 2852, 23504, 2139, 11207, 1863, 693, 3235, 17742, 1260, 267, 519, 4102, 1863, 1557, 2146, 269, 634, 25041, 7245, 568, 4058, 547, 11324, 785, 513, 1305, 540, 1073, 4821, 268, 5028, 4507, 602, 5000, 519, 946, 540, 5198, 538, 2852, 23504, 547, 5198, 543, 31077, 2962, 563, 20082, 281, 544, 747, 320, 15625, 13187, 602, 31077, 2962, 538, 2852, 23504, 568, 3280, 3609, 646, 524, 2572, 2090, 538, 1489, 540, 31077, 2962, 269, 12370, 31077, 2962, 27779, 476, 1001, 275, 281, 3506, 647, 539, 936, 2048, 29171, 3234, 22922, 685, 2852, 23504, 19429, 544, 10185, 547, 1225, 18571, 31077, 2962, 23504, 4507, 269, 2052, 14227, 4567, 12990, 585, 5198, 538, 31077, 2962, 2852, 23504, 4507, 2963, 689, 513, 11191, 2203, 694, 534, 535, 556, 30972, 269, 5623, 8369, 593, 519, 2228, 7521, 31077, 2962, 1058, 581, 8694, 538, 2852, 23504, 269, 594, 993, 1603, 547, 596, 3823, 519, 3978, 18670, 540, 3160, 4027, 267, 21440, 267, 543, 7130, 1102, 21719, 676, 7292, 13283, 4507, 267, 538, 1880, 31077, 2962, 538, 2852, 23504, 267, 799, 3592, 1169, 2852, 27995, 607, 1014, 7819, 2875, 568, 21947, 609, 2221, 563, 288, 742, 3305, 894, 2962, 538, 519, 8087, 2829, 568, 513, 1305, 540, 4031, 267, 630, 5264, 3915, 476, 277, 2537, 1070, 31077, 2962, 568, 711, 4847, 538, 2852, 23504, 543, 7694, 522, 18925, 269, 634, 3540, 2924, 957, 540, 476, 3422, 275, 1500, 621, 10363, 547, 5806, 3729, 1996, 1053, 543, 2852, 23078, 593, 519, 4493, 540, 5198, 610, 4008, 267, 855, 18445, 9186, 269, 634, 5728, 9889, 553, 538, 2852, 23504, 585, 621, 9356, 519, 18678, 5480, 779, 4890, 2262, 543, 6044, 827, 1018, 606, 31077, 2962, 23504, 563, 288, 742, 3305, 894, 2962, 538, 2852, 23504, 585, 19052, 22988, 814, 1044, 9561, 1489, 538, 519, 8087, 2829, 585, 930, 942, 267, 609, 1007, 968, 10233, 4565, 785, 892, 2409, 269, 634, 8257, 540, 5126, 9783, 4808, 512, 11698, 547, 5000, 12621, 547, 2057, 6236, 5198, 538, 23504, 519, 5583, 568, 519, 5767, 6521, 2476, 689, 31077, 2962, 269, 2677, 32606, 1883, 5480, 3664, 936, 31077, 2962, 519, 721, 18678, 5480, 12199, 602, 1210, 7292, 9889, 553, 538, 2852, 16075, 519, 23504, 3609, 729, 269, 0, 16240, 2257, 4023, 1382, 1957, 949, 3100, 899, 513, 4101, 4305, 855, 621, 568, 711, 607, 2352, 607, 621, 4667, 2257, 4023, 1382, 4574, 616, 2854, 538, 519, 1106, 269, 8080, 547, 519, 512, 916, 2257, 4023, 2985, 2257, 4023, 568, 513, 3460, 585, 519, 1053, 1282, 519, 3460, 689, 476, 276, 321, 910, 952, 1788, 568, 5342, 693, 513, 1382, 4259, 269, 12876, 3561, 968, 514, 1181, 1049, 3652, 585, 3348, 565, 5076, 2257, 1382, 281, 1382, 1957, 281, 630, 17141, 585, 9344, 476, 277, 268, 279, 264, 713, 851, 540, 519, 1788, 568, 3335, 476, 275, 268, 1015, 269, 2290, 540, 519, 3875, 10467, 835, 949, 3068, 950, 4974, 7350, 267, 621, 267, 6323, 267, 610, 824, 5730, 9443, 568, 513, 2257, 4023, 1788, 1382, 1957, 269, 9537, 540, 3785, 3478, 3323, 1788, 3334, 30023, 519, 1655, 8097, 3785, 4125, 3312, 8097, 1382, 538, 799, 1034, 563, 299, 1824, 540, 1382, 7028, 713, 8343, 267, 609, 835, 6280, 540, 1775, 1185, 513, 1533, 2257, 4023, 2899, 1141, 1250, 1788, 729, 7168, 2241, 855, 1775, 1185, 269, 1215, 547, 5965, 519, 3803, 1867, 585, 707, 2257, 4023, 1788, 2882, 1382, 713, 568, 519, 1382, 1957, 596, 5206, 1354, 596, 3323, 707, 4603, 269, 14295, 3019, 540, 7911, 543, 8004, 3257, 4603, 609, 1507, 11149, 593, 3349, 547, 948, 596, 1382, 519, 1888, 543, 1265, 856, 875, 547, 798, 513, 2257, 4023, 1788, 827, 621, 269, 16959, 1591, 513, 546, 830, 13355, 6007, 538, 513, 4585, 568, 513, 1591, 2281, 957, 899, 15450, 547, 3196, 9211, 547, 2095, 2059, 26423, 630, 323, 330, 2257, 476, 5611, 563, 7628, 519, 1985, 1906, 4374, 707, 1126, 786, 581, 8888, 513, 2257, 1788, 602, 3096, 519, 3621, 1505, 547, 4194, 513, 1966, 649, 4126, 596, 3858, 602, 519, 269, 744, 1459, 693, 519, 607, 323, 2257, 4023, 547, 513, 8470, 540, 16488, 536, 2854, 4170, 1169, 1788, 3340, 27772, 3029, 476, 272, 267, 476, 272, 320, 267, 476, 272, 321, 267, 543, 513, 1382, 1544, 269, 4635, 519, 3268, 540, 519, 3621, 1505, 3040, 707, 1126, 781, 4116, 786, 1683, 513, 2257, 4023, 1788, 8430, 585, 782, 519, 1883, 1813, 7389, 948, 707, 1126, 2743, 891, 1547, 5192, 513, 21641, 547, 2594, 707, 7422, 267, 6901, 267, 12222, 267, 5961, 267, 543, 2055, 476, 273, 2824, 513, 1888, 543, 513, 1382, 2243, 281, 519, 811, 1808, 519, 269, 634, 1775, 680, 781, 2257, 4023, 1788, 4199, 3391, 786, 948, 596, 998, 519, 2898, 2899, 596, 723, 519, 2596, 2856, 267, 581, 2386, 547, 1224, 909, 593, 519, 3621, 1505, 563, 2414, 581, 14718, 547, 14526, 538, 519, 6237, 543, 1533, 4023, 338, 267, 1142, 2875, 16045, 1590, 1053, 616, 9415, 547, 4159, 513, 1382, 1957, 543, 1022, 1382, 269, 3163, 14609, 625, 910, 1603, 513, 1382, 1957, 585, 707, 2257, 4023, 1788, 2257, 14609, 625, 568, 513, 18758, 3919, 713, 3391, 2488, 269, 1548, 568, 621, 602, 596, 1616, 547, 1265, 856, 676, 3257, 713, 1788, 476, 274, 1382, 707, 1966, 1413, 693, 1022, 2835, 270, 933, 2125, 2572, 602, 1522, 948, 596, 267, 1118, 7422, 676, 3274, 563, 19061, 1382, 713, 568, 1382, 547, 948, 596, 1174, 519, 1788, 1888, 621, 786, 581, 5363, 538, 11589, 519, 1788, 1966, 267, 3981, 532, 707, 269, 7170, 2985, 568, 7508, 835, 540, 519, 1739, 281, 2875, 781, 2012, 267, 1641, 267, 4116, 267, 610, 2257, 4023, 4266, 1318, 20582, 2140, 9607, 1788, 1888, 2140, 2985, 568, 7508, 1547, 476, 278, 628, 3446, 2257, 4023, 5528, 2985, 476, 273, 540, 476, 1556, 3349, 540, 9115, 2985, 1948, 3898, 585, 519, 2257, 4023, 1382, 1957, 476, 274, 268, 275, 1603, 606, 7493, 476, 276, 563, 288, 2257, 4023, 1788, 568, 606, 4603, 267, 513, 17431, 267, 513, 1382, 4674, 267, 513, 4015, 540, 3621, 3688, 267, 610, 4159, 540, 3621, 17102, 4843, 585, 13156, 269, 7177, 3785, 4125, 3860, 1966, 6061, 267, 543, 789, 616, 711, 707, 6192, 10220, 24920, 707, 1788, 4604, 1382, 21641, 269, 21894, 1826, 540, 2257, 1788, 596, 798, 267, 621, 5205, 513, 1184, 1634, 607, 519, 3621, 1505, 519, 3621, 1505, 5654, 585, 2014, 543, 1198, 269, 5438, 27624, 15712, 693, 519, 3486, 2257, 543, 4702, 4023, 5965, 741, 1382, 1957, 1101, 543, 267, 1287, 1020, 741, 10525, 693, 519, 476, 280, 628, 998, 269, 0, 307, 531, 322, 636, 8869, 814, 1044, 1818, 24657, 25015, 267, 855, 621, 781, 711, 513, 1007, 12146, 269, 898, 781, 1044, 1031, 585, 5553, 543, 666, 581, 1336, 538, 513, 11739, 342, 540, 7082, 2472, 267, 689, 3819, 31576, 5622, 543, 1025, 2313, 547, 4816, 8869, 269, 1809, 1018, 568, 5657, 322, 267, 4010, 286, 898, 781, 513, 7777, 602, 568, 1500, 909, 540, 13339, 267, 5135, 267, 543, 13101, 543, 568, 5921, 547, 10110, 7509, 630, 11004, 1150, 7303, 30919, 1040, 769, 922, 2067, 1533, 267, 5657, 322, 666, 2270, 20702, 267, 799, 568, 513, 1634, 15910, 4094, 2443, 855, 2687, 547, 519, 1977, 9435, 5980, 267, 5010, 2472, 5627, 5657, 322, 723, 1044, 20702, 6954, 2094, 519, 476, 3192, 271, 338, 563, 3682, 5913, 12781, 2161, 9652, 1299, 9652, 6785, 827, 519, 1981, 2094, 519, 2038, 476, 2735, 271, 338, 543, 1705, 711, 2149, 922, 5561, 269, 769, 1249, 267, 519, 1101, 1353, 5342, 593, 5657, 322 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 946, 269, 769, 713, 3510, 267, 875, 2371, 6337, 9321, 1127, 1047, 568, 9168, 547, 13498, 6491, 9317, 12547, 543, 824, 14107, 563, 13010, 267, 950, 4988, 609, 3327, 23282, 19298, 267, 519, 22156, 2030, 666, 957, 607, 513, 30932, 585, 4496, 25101, 9075, 269, 2991, 1373, 18233, 543, 1989, 3660, 267, 3744, 666, 946, 519, 2030, 547, 10776, 572, 891, 9075, 685, 1648, 267, 1818, 873, 811, 3608, 982, 519, 4244, 1107, 16864, 2861, 9075, 267, 4122, 1336, 538, 11436, 269, 634, 2601, 1946, 22156, 568, 513, 1390, 18364, 568, 602, 519, 2030, 568, 3638, 538, 4401, 543, 9436, 563, 23178, 1744, 537, 30795, 784, 2098, 537, 267, 945, 3366, 519, 1957, 267, 5143, 16402, 5240, 602, 968, 1492, 1505, 649, 7318, 666, 3132, 3810, 3742, 267, 3327, 2861, 27857, 689, 22156, 267, 799, 568, 513, 7791, 13947, 1848, 1261, 3773, 281, 968, 1103, 1249, 267, 649, 3494, 621, 856, 704, 13257, 5010, 31091, 27857, 538, 1312, 2534, 543, 6617, 3034, 1103, 476, 1001, 278, 267, 20037, 3459, 519, 1382, 540, 891, 6289, 984, 31020, 2553, 538, 519, 4126, 540, 16326, 23292, 21225, 267, 855, 519, 2029, 814, 7960, 543, 666, 581, 1031, 547, 6895, 2360, 899, 5533, 610, 8733, 2242, 269, 853, 3757, 334, 4330, 891, 7760, 607, 968, 320, 3209, 17431, 540, 875, 649, 723, 7753, 519, 2030, 10774, 3861, 2792, 11064, 1848, 0, 23737, 519, 2035, 540, 1344, 1949, 3354, 607, 4294, 547, 606, 8668, 5989, 563, 27855, 875, 17351, 6285, 267, 6937, 267, 543, 16426, 1764, 606, 8668, 5989, 563, 23737, 519, 1797, 31487, 946, 547, 14207, 1949, 543, 5121, 267, 543, 23640, 1031, 676, 3906, 563, 23737, 519, 1909, 540, 1569, 8060, 538, 7598, 513, 3354, 3609, 563, 23737, 875, 4213, 4019, 25563, 538, 4509, 1344, 3354, 563, 22860, 2763, 519, 2956, 540, 3060, 3741, 543, 6189, 547, 3354, 4238, 563, 8196, 2029, 543, 1344, 2200, 547, 1382, 2152, 538, 1344, 1949, 3354, 563, 2237, 5693, 543, 13801, 569, 827, 3060, 3354, 3584, 1210, 1697, 1603, 11707, 543, 2930, 2511, 14908, 563, 12441, 596, 917, 596, 666, 16926, 2576, 547, 2626, 713, 2243, 286, 8786, 267, 3651, 626, 2593, 568, 513, 13398, 540, 1957, 5830, 267, 6131, 547, 11264, 1382, 543, 24096, 267, 2565, 3206, 4247, 267, 3594, 267, 17440, 267, 543, 824, 6780, 4247, 269, 898, 568, 2241, 607, 13235, 269, 0, 3963, 798, 20691, 1745, 2597, 1652, 286, 2560, 769, 2230, 267, 20691, 543, 741, 5624, 1222, 1869, 723, 2527, 543, 616, 1869, 19500, 2390, 676, 3047, 779, 8904, 269, 769, 713, 2631, 267, 789, 1869, 723, 2597, 267, 1256, 1498, 3047, 779, 14965, 3196, 568, 4130, 538, 10739, 982, 621, 568, 593, 3047, 779, 2627, 630, 26213, 476, 272, 1916, 25898, 596, 2597, 1652, 593, 3047, 982, 538, 9855, 888, 763, 811, 2527, 513, 1268, 814, 267, 519, 3152, 519, 7485, 540, 8904, 593, 873, 269, 2560, 4595, 519, 9855, 568, 4130, 982, 3047, 267, 621, 814, 513, 21260, 14965, 7485, 269, 769, 1249, 267, 519, 9855, 1152, 814, 476, 272, 270, 277, 519, 8904, 602, 3047, 1281, 269, 901, 1797, 596, 9260, 3670, 2053, 1447, 593, 519, 9855, 982, 596, 798, 593, 3047, 2336, 3963, 20691, 666, 4163, 5230, 13907, 593, 519, 7599, 855, 711, 593, 519, 3047, 888, 3963, 20691, 666, 4163, 5230, 13907, 593, 519, 7599, 855, 711, 593, 519, 3618, 7790, 634, 10231, 1813, 547, 8904, 593, 519, 7599, 568, 827, 835, 15795, 602, 693, 519, 3618, 269, 2334, 568, 1946, 267, 20691, 666, 4163, 5230, 13907, 3362, 593, 519, 2627, 540, 519, 7599, 267, 799, 568, 711, 2009, 593, 519, 3618, 563, 3963, 798, 20691, 10581, 538, 2230, 543, 711, 593, 3047, 888, 2252, 476, 3445, 2600, 540, 3047, 779, 8904, 10301, 519, 2230, 6728, 267, 1287, 1946, 798, 20691, 10581, 972, 286, 634, 2626, 568, 1317, 789, 616, 538, 1863, 2887, 269, 769, 513, 12511, 267, 8904, 3123, 782, 3615, 547, 2887, 693, 519, 1482, 2557, 269, 2560, 4595, 789, 616, 782, 9991, 1927, 267, 519, 12284, 543, 3615, 2408, 547, 10581, 950, 3379, 609, 519, 14361, 563, 3963, 20691, 616, 2597, 1652, 538, 2230, 888, 16360, 264, 1323, 16106, 28835, 519, 3047, 1281, 1745, 2597, 1652, 1317, 972, 568, 1100, 2666, 610, 3339, 3196, 547, 25559, 519, 3196, 540, 8904, 269, 4935, 267, 519, 16106, 568, 9991, 269, 1717, 267, 2094, 519, 16106, 568, 849, 3001, 4464, 2706, 3728, 267, 646, 24172, 11179, 8813, 1472, 519, 3047, 2864, 982, 1835, 4770, 883, 519, 3047, 563, 3963, 4769, 1406, 20691, 10581, 1055, 519, 9855, 888, 763, 7599, 814, 513, 2627, 8904, 5111, 835, 15795, 602, 540, 519, 3618, 269, 1924, 585, 519, 20691, 547, 968, 15615, 2476, 892, 789, 1131, 991, 547, 7914, 609, 606, 3355, 6991, 540, 3592, 476, 273, 269, 276, 5998, 270, 5913, 630, 338, 2775, 569, 936, 476, 4335, 271, 5195, 606, 5662, 264, 1107, 2352, 267, 1256, 1510, 513, 5230, 5624, 3726, 2336, 3963, 616, 20691, 2597, 1652, 538, 2230, 28866, 888, 3963, 616, 20691, 2597, 1652, 538, 519, 2230, 6728, 286, 1317, 789, 616, 538, 513, 3586, 1533, 540, 1863, 2887, 1472, 519, 3047, 269, 2560, 1323, 1843, 3788, 538, 5163, 693, 3586, 6991, 267, 610, 3788, 693, 1964, 267, 8259, 19500, 2390, 676, 513, 2121, 3196, 563, 1692, 798, 20691, 3802, 593, 519, 9855, 1510, 8904, 888, 22349, 1258, 2246, 338, 8036, 585, 2890, 6588, 6143, 676, 6972, 968, 2515, 1811, 3034, 30265, 17641, 13736, 2921, 1055, 543, 13941, 538, 519, 30803, 8092, 532, 9751, 27990, 538, 20279, 269, 1656, 267, 547, 18082, 6972, 538, 519, 7599, 779, 2539, 3766, 571, 6143, 5790, 267, 20691, 941, 17735, 2427, 1811, 676, 2269, 1186, 543, 1287, 15336, 2059, 513, 21266, 1540, 3774, 563, 3963, 568, 621, 2352, 547, 12740, 2597, 593, 3047, 855, 2653, 593, 519, 9855, 888, 291, 3748, 540, 7599, 568, 1447, 982, 5860, 540, 3618, 563, 3963, 972, 568, 1100, 8904, 593, 7599, 888, 763, 9855, 779, 2627, 8904, 568, 21260, 1317, 621, 568, 2484, 1447, 7372, 982, 3047, 269, 589, 1560, 779, 2627, 8904, 568, 14354, 547, 922, 2527, 267, 855, 11201, 569, 14354, 547, 519, 4009, 540, 922, 8953, 269, 2560, 1411, 798, 711, 723, 519, 1482, 2597, 593, 3047, 607, 596, 1131, 593, 519, 9855, 267, 32624, 267, 610, 1256, 519, 6129, 610, 513, 23377, 5182, 563, 3963, 798, 20691, 10581, 3214, 888, 10214, 513, 1279, 1259, 2476, 689, 3047, 267, 972, 568, 1869, 2614, 8904, 547, 1832, 513, 5624, 1222, 538, 10739, 269, 5221, 540, 8904, 779, 7485, 267, 519, 5624, 1222, 8813, 1472, 519, 4541, 269, 1879, 1919, 2887, 267, 789, 1810, 1406, 723, 1022, 2597, 269, 901, 568, 1946, 20691, 10581, 3330, 513, 2230, 6928, 563, 3963, 798, 20691, 25483, 593, 519, 7599, 888, 15008, 281, 634, 7599, 779, 8904, 568, 827, 476, 272, 270, 275, 607, 2178, 607, 519, 3618, 779, 8904, 269, 2560, 634, 20691, 616, 1031, 547, 6972, 593, 3618, 865, 950, 789, 7903, 4464, 609, 741, 7953, 789, 4043, 547, 946, 519, 1482, 2179, 540, 1648, 799, 568, 476, 275, 2053, 811, 982, 2877, 269, 2334, 7903, 3123, 873, 547, 4473, 267, 13053, 779, 2034, 1876, 563, 6701, 20691, 593, 519, 32199, 2597, 1652, 888, 5445, 1995, 2597, 16531, 711, 1317, 540, 513, 3668, 540, 8904, 855, 1317, 519, 32199, 267, 543, 789, 267, 616, 28835, 3047, 538, 3586, 1863, 2887, 267, 3081, 4406, 24809, 3026, 531, 267, 1225, 1807, 540, 2230, 1686, 693, 519, 2817, 5794, 543, 6611, 7467, 269, 1358, 2461, 9991, 4724, 3047, 543, 3001, 4464, 693, 827, 519, 1482, 6991, 563, 3963, 616, 20691, 538, 2230, 1767, 547, 581, 2597, 1652, 855, 711, 2527, 1652, 888, 25585, 616, 519, 20691, 538, 2230, 1767, 547, 581, 2597, 1652, 855, 711, 2527, 1652, 286, 1317, 519, 3196, 540, 8904, 568, 5393, 1507, 543, 2230, 538, 513, 3668, 540, 16007, 1063, 4703, 602, 3947, 2476, 547, 602, 20691, 568, 9247, 15534, 269, 789, 2226, 741, 17271, 7136, 2705, 563, 1432, 568, 519, 3017, 1063, 2597, 16531, 538, 2230, 543, 2597, 16531, 538, 3047, 888, 1103, 2230, 649, 1745, 2597, 16531, 1317, 519, 3618, 779, 8904, 814, 1447, 1198, 593, 721, 269, 2560, 634, 3047, 779, 14965, 16007, 693, 1346, 31556, 568, 1152, 827, 476, 1556, 260, 1447, 982, 621, 568, 693, 519, 3047, 779, 2627, 269, 1403, 596, 1185, 513, 21117, 602, 1223, 3914, 607, 1164, 607, 519, 29060, 779, 10739, 267, 707, 2597, 1131, 581, 476, 1556, 260, 1447, 693, 519, 1283, 269, 0, 2304, 320, 8598, 543, 25224, 532, 2611, 1713, 2038, 6689, 1857, 1072, 2591, 538, 4199, 268, 6247, 11712, 5468, 263, 13129, 4563, 267, 19395, 543, 13225, 583, 3279, 476, 272, 15426, 27118, 8598, 568, 3989, 607, 2348, 513, 1970, 670, 321, 5834, 610, 2699, 1973, 1591, 2527, 267, 543, 949, 581, 519, 1267, 540, 9422, 2188, 630, 324, 3052, 269, 19518, 540, 4401, 267, 31447, 3679, 267, 6171, 645, 1321, 543, 6171, 589, 1070, 11763, 3676, 630, 324, 3052, 269, 3037, 20675, 4784, 927, 2381, 2195, 267, 13663, 267, 21061, 543, 7486, 25266, 264, 543, 4719, 2188, 630, 324, 3052, 269, 555, 531, 817, 320, 8598, 7565, 13129, 7195, 541, 1690, 534, 267, 10548, 752, 16194, 22974, 543, 23520, 5306, 514, 476, 273, 15426, 853, 2863, 532, 630, 19417, 16519, 21943, 2098, 1606, 14537, 2630, 14959, 2208, 4441, 267, 10452, 23646, 540, 20258, 2208, 264, 568, 4922, 2808, 547, 581, 513, 6325, 13525, 540, 1279, 3856, 896, 19256, 538, 2038, 6689, 263, 13129, 1546, 28838, 543, 23548, 636, 476, 274, 30155, 288, 25102, 2438, 267, 513, 1523, 2919, 676, 2564, 10236, 5505, 263, 13129, 590, 5424, 476, 275, 16532, 814, 1044, 5051, 18931, 607, 513, 3532, 5499, 5943, 547, 1174, 267, 2061, 543, 1521, 1071, 31507, 5270, 540, 1072, 24675, 269, 589, 25102, 2438, 814, 1614, 4295, 2934, 281, 630, 328, 264, 24159, 540, 1079, 630, 528, 811, 264, 3676, 610, 1072, 2175, 1369, 513, 1808, 2551, 282, 630, 4512, 264, 13865, 543, 1514, 2188, 602, 1711, 519, 2175, 538, 799, 519, 1079, 630, 528, 811, 264, 3676, 610, 1072, 2175, 12440, 282, 543, 630, 13839, 264, 8801, 2068, 5872, 4611, 689, 519, 24159, 799, 4679, 519, 1072, 11411, 1851, 4299, 5095, 263, 13129, 590, 5424, 267, 10089, 1194, 543, 744, 14259, 577, 476, 276, 15426, 634, 25102, 2438, 5943, 4016, 711, 1152, 547, 519, 1071, 31507, 5270, 540, 1072, 2042, 855, 849, 26342, 1514, 543, 2825, 2188, 971, 607, 6710, 267, 1970, 2069, 267, 1514, 8194, 267, 2825, 6937, 543, 3908, 1569, 547, 1072, 13282, 799, 22652, 519, 6211, 4205, 1851, 1107, 543, 519, 4093, 540, 1107, 7265, 1229, 2175, 269, 634, 25102, 2438, 5943, 2306, 513, 3407, 9295, 538, 21528, 3173, 267, 4791, 9439, 543, 3609, 15670, 547, 12497, 1047, 543, 2232, 1072, 31716, 543, 16526, 2066, 5095, 563, 763, 1071, 2173, 12643, 7190, 540, 16562, 8598, 543, 25224, 532, 538, 2038, 6689, 538, 4199, 268, 6247, 11712, 5468, 666, 581, 2808, 1210, 513, 25102, 2438, 1935, 269, 1703, 616, 3838, 1981, 2188, 585, 891, 1072, 2175, 1519, 7525, 3123, 267, 971, 607, 13385, 1569, 547, 6484, 543, 4598, 547, 11763, 3676, 282, 5817, 3123, 1519, 7622, 1426, 22584, 267, 16283, 1416, 267, 14432, 7622, 5054, 543, 3668, 540, 1072, 2533, 282, 543, 2596, 3123, 1519, 3908, 2200, 693, 2146, 543, 2197, 2157, 263, 13129, 4563, 267, 19395, 543, 13225, 583, 3279, 476, 272, 2073, 13129, 7195, 541, 1690, 534, 267, 10548, 752, 16194, 22974, 543, 23520, 5306, 514, 476, 273, 15426, 5637, 16562, 8598, 543, 25224, 532, 1282, 2038, 1272, 666, 1291, 547, 1713, 1279, 3856, 1072, 267, 1646, 543, 1514, 4539, 2663, 538, 1272, 269, 4578, 689, 2947, 4332, 20165, 2090, 538, 8478, 267, 30188, 267, 3127, 267, 519, 13372, 543, 3162, 4000, 4951, 602, 1453, 609, 1970, 4463, 16519, 21943, 2098, 1606, 14537, 693, 476, 273, 1296, 2025, 1185, 10156, 2937, 4463, 267, 2539, 3872, 26556, 267, 4389, 2937, 4747, 267, 543, 602, 741, 1378, 15556, 1185, 8519, 4332, 2597, 263, 13129, 1546, 28838, 543, 23548, 636, 476, 274, 2073, 13129, 7861, 7702, 267, 1520, 1515, 543, 12096, 476, 277, 15426, 7043, 15994, 2090, 723, 3254, 602, 670, 321, 2157, 538, 2038, 6689, 616, 5532, 547, 5042, 1646, 543, 1153, 9740, 538, 2663, 6689, 263, 13129, 21081, 628, 600, 5336, 322, 294, 2958, 528, 543, 1323, 328, 476, 278, 15426, 589, 2689, 540, 8938, 5991, 710, 2090, 9672, 602, 519, 6211, 6127, 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 ]
[ 318, 29996, 318, 5183, 312, 300, 19006, 4917, 6112, 2186, 15058, 7272, 599, 906, 3436, 476, 273, 610, 2186, 15058, 7272, 599, 906, 2999, 476, 272, 912, 825, 1820, 10857, 322, 269, 2207, 305, 318, 272, 994, 825, 2186, 15058, 7272, 599, 906, 815, 703, 9272, 10857, 322, 14389, 18853, 318, 29996, 318, 5183, 312, 300, 19006, 4917, 8999, 318, 815, 10581, 9272, 10857, 322, 2529, 9331, 4917, 6112, 2040, 318, 2999, 476, 1015, 318, 1822, 912, 825, 1820, 10857, 322, 269, 2207, 305, 318, 273, 994, 825, 2040, 318, 815, 703, 9272, 10857, 322, 2529, 9331, 4917, 15517, 815, 10581, 9272, 10857, 322, 269, 2562, 9898, 12239, 318, 305, 12442, 4297, 1315, 476, 1321, 1315, 476, 1911, 454, 6112, 1719, 2999, 476, 271, 912, 825, 1820, 10857, 322, 269, 2207, 305, 318, 274, 994, 825, 1719, 815, 10581, 9272, 10857, 322, 269, 2562, 9898, 12239, 318, 305, 12442, 4297, 1315, 476, 1321, 1315, 476, 1911, 454, 24629, 815, 10581, 9272, 10857, 322, 8160, 2177, 8025, 4917, 6112, 3923, 10922, 476, 271, 610, 3923, 11203, 703, 263, 24629, 2187, 825, 1820, 10857, 322, 269, 2207, 305, 318, 275, 994, 825, 3923, 815, 10581, 9272, 10857, 322, 8160, 2177, 8025, 4917, 1260, 3939, 815, 10581, 9272, 10857, 322, 269, 4596, 12613, 3041, 31064, 4297, 1315, 476, 1911, 454, 6112, 10243, 2999, 476, 271, 912, 825, 1820, 10857, 322, 269, 2207, 305, 318, 276, 994, 825, 10243, 815, 10581, 9272, 10857, 322, 269, 4596, 12613, 3041, 31064, 4297, 1315, 476, 1911, 692, 24629, 815, 703, 263, 24629, 2020, 604, 2186, 15058, 7272, 599, 906, 2652, 476, 272, 912, 825, 1948, 29626, 3045, 8462, 8569, 1210, 4542, 563, 825, 3045, 8462, 7272, 599, 618, 815, 2040, 318, 2608, 630, 15517, 1341, 630, 15517, 1315, 630, 9230, 272, 1341, 1719, 264, 2878, 3923, 264, 910, 476, 272, 21875, 825, 1948, 29626, 824, 3688, 563, 825, 2628, 23544, 815, 3045, 8462, 7272, 599, 618, 2608, 3923, 1341, 10243, 2608, 2040, 29390, 825, 936, 335, 599, 815, 2628, 23544, 910, 2040, 29390, 825, 1948, 19243, 3296, 563, 825, 1820, 10857, 322, 269, 27345, 318, 272, 267, 5180, 263, 2335, 8462, 7272, 599, 618, 267, 476, 273, 1070, 561, 322, 5861, 7838, 305, 27301, 312, 994, 825, 1820, 10857, 322, 269, 27345, 318, 273, 267, 5180, 263, 1478, 335, 599, 267, 476, 273, 1070, 561, 322, 5861, 7838, 305, 27301, 312, 994, 825, 1820, 10857, 322, 269, 27345, 318, 274, 267, 5180, 9638, 599, 23544, 267, 476, 273, 1070, 561, 322, 5861, 7838, 305, 27301, 312, 2020, 12828, 912, 825, 4396, 7272, 599, 618, 815, 2040, 318, 1315, 3923, 454, 825, 3923, 318, 15517, 815, 476, 271, 454, 825, 1964, 15058, 318, 920, 9016, 815, 2040, 29390, 825, 2628, 23544, 815, 476, 271, 454, 825, 1948, 29626, 543, 8228, 3923, 2628, 18304, 585, 1142, 3923, 269, 11814, 532, 782, 540, 873, 883, 2407, 2628, 2040, 563, 825, 585, 1003, 538, 2039, 263, 272, 267, 3923, 1341, 476, 272, 2187, 1038, 3923, 318, 15517, 815, 1964, 15058, 318, 920, 9016, 2608, 1719, 454, 1038, 3923, 7272, 599, 618, 815, 4396, 7272, 599, 618, 1341, 3923, 318, 15517, 454, 1038, 1964, 15058, 318, 920, 9016, 20699, 3923, 7272, 599, 618, 454, 1038, 2628, 23544, 6834, 3923, 7272, 599, 618, 454, 1038, 1820, 10857, 322, 10422, 3918, 303, 5308, 296, 3582, 267, 1003, 267, 561, 322, 8160, 2177, 8025, 318, 272, 267, 5180, 263, 24629, 7272, 599, 618, 267, 476, 273, 1070, 561, 322, 5861, 7838, 305, 27301, 312, 994, 825, 1948, 29626, 824, 3688, 563, 825, 2628, 23544, 6834, 10243, 2608, 2040, 29390, 825, 936, 335, 599, 815, 2628, 23544, 910, 2040, 29390, 825, 1948, 19243, 3296, 563, 825, 1820, 10857, 322, 269, 27345, 318, 273, 267, 5180, 263, 1478, 335, 599, 267, 476, 273, 1070, 561, 322, 5861, 7838, 305, 27301, 312, 994, 825, 1820, 10857, 322, 269, 27345, 318, 274, 267, 5180, 9638, 599, 23544, 267, 476, 273, 1070, 561, 322, 5861, 7838, 305, 27301, 312, 994, 0, 5814, 15259, 454, 5228, 623, 6579, 1104, 12005, 692, 258, 21744, 519, 2324, 2619, 454, 12949, 815, 3403, 2891, 6358, 2324, 2619, 2433, 834, 264, 1341, 23367, 7055, 657, 26716, 323, 597, 9638, 987, 994, 657, 10947, 322, 23424, 10797, 258, 3239, 2450, 7503, 454, 628, 3518, 815, 3403, 2891, 6358, 14853, 2012, 263, 269, 329, 17989, 264, 2433, 19515, 604, 14853, 1341, 29717, 329, 17989, 262, 538, 15259, 269, 4289, 323, 597, 9638, 987, 264, 10778, 825, 3239, 815, 12005, 269, 13449, 263, 628, 3518, 1341, 29717, 329, 17989, 17210, 825, 1747, 3835, 318, 13548, 815, 3239, 269, 637, 1125, 9230, 15996, 267, 476, 15782, 4917, 825, 14853, 318, 13548, 815, 3239, 269, 637, 1125, 9230, 276, 3374, 267, 476, 22145, 4917, 825, 14853, 273, 343, 318, 13548, 815, 3239, 269, 637, 1125, 9230, 13040, 271, 267, 476, 2568, 273, 11723, 825, 1747, 3835, 318, 13548, 4732, 1511, 9638, 987, 1341, 14853, 1341, 1412, 318, 2897, 3835, 27970, 3299, 2298, 284, 4817, 994, 825, 14853, 318, 13548, 4732, 1511, 9638, 987, 1341, 14853, 1341, 1412, 318, 628, 3518, 27970, 3299, 2298, 284, 4817, 994, 825, 14853, 273, 343, 318, 13548, 4732, 1511, 9638, 987, 1341, 14853, 1341, 1412, 318, 628, 3518, 287, 273, 343, 27970, 3299, 2298, 284, 4817, 2020, 12828, 10778, 825, 1820, 3488, 310, 3994, 774, 3518, 333, 841, 2012, 269, 7490, 2638, 17210 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 12450, 23469, 267, 609, 811, 30861, 543, 29511, 344, 28937, 543, 513, 811, 6492, 995, 10347, 269, 769, 1249, 621, 568, 519, 1482, 9838, 3099, 540, 13767, 2044, 267, 538, 519, 1101, 2013, 621, 729, 16916, 538, 519, 2757, 1259, 267, 538, 519, 2013, 540, 3043, 13767, 2044, 3079, 519, 5032, 338, 941, 6926, 3737, 269, 28563, 2286, 568, 513, 1184, 676, 799, 2371, 616, 6569, 689, 7943, 865, 602, 789, 6336, 28060, 267, 4611, 538, 513, 811, 10347, 6492, 267, 607, 568, 849, 519, 2013, 609, 7066, 6665, 8457, 2234, 545, 577, 1470, 269, 1677, 798, 713, 621, 568, 2556, 267, 1101, 540, 782, 267, 547, 1747, 519, 1762, 2371, 693, 513, 1434, 3845, 689, 1142, 824, 267, 865, 602, 1063, 519, 2371, 972, 568, 4055, 585, 519, 1570, 602, 786, 979, 547, 22890, 519, 2898, 7953, 540, 13767, 2044, 267, 4625, 8720, 519, 4620, 2723, 525, 540, 519, 3762, 269, 898, 3622, 23131, 827, 513, 3923, 1354, 519, 7556, 267, 693, 1101, 519, 3762, 616, 3274, 13615, 1927, 267, 547, 1732, 11741, 519, 2212, 267, 1210, 986, 742, 807, 282, 4061, 519, 7943, 568, 16934, 689, 1034, 540, 519, 4620, 2723, 525, 267, 8720, 873, 609, 519, 3618, 3592, 909, 547, 519, 30085, 267, 6028, 1152, 519, 2571, 543, 3039, 3762, 3544, 282, 952, 596, 6999, 267, 596, 666, 849, 798, 713, 676, 1210, 11356, 267, 610, 3694, 1957, 269, 2991, 827, 513, 3923, 267, 519, 8913, 30835, 616, 11552, 691, 1117, 543, 6394, 267, 9427, 519, 9018, 3762, 543, 547, 6137, 519, 2212, 267, 865, 607, 547, 1832, 1152, 519, 14402, 543, 811, 30362, 851, 563, 290, 601, 518, 13519, 568, 1776, 3099, 540, 13767, 2044, 267, 7442, 1756, 18205, 565, 839, 267, 15254, 269, 986, 10628, 636, 282, 540, 713, 13767, 2044, 519, 3762, 616, 1031, 1152, 10355, 267, 547, 1491, 5413, 540, 519, 1360, 23599, 8137, 267, 585, 1383, 538, 519, 22304, 267, 607, 789, 616, 1360, 11741, 543, 16463, 344, 267, 543, 1360, 29549, 282, 540, 519, 13767, 518, 13519, 568, 10057, 3079, 519, 3597, 267, 799, 814, 513, 11741, 11007, 267, 2147, 547, 602, 540, 519, 15837, 8685, 619, 267, 543, 17736, 545, 6681, 7516, 267, 540, 5180, 880, 3337, 267, 3592, 607, 2462, 607, 513, 1507, 5283, 517, 269, 634, 13767, 518, 13519, 568, 13881, 6151, 610, 11273, 267, 543, 814, 513, 811, 10347, 6492, 982, 519, 6978, 610, 10775, 5523, 13767, 2044, 269, 634, 14713, 568, 2147, 267, 2892, 334, 799, 3622, 11148, 547, 11349, 13767, 2044, 2490, 760, 5631, 1282, 519, 4411, 3275, 267, 607, 538, 519, 4411, 519, 8137, 543, 11007, 540, 519, 3597, 2087, 14320, 269, 16038, 23297, 513, 13566, 4729, 543, 519, 1507, 2371, 267, 827, 476, 1428, 268, 736, 4699, 1164, 267, 616, 12630, 282, 519, 2230, 1063, 519, 9343, 568, 827, 476, 1839, 4699, 282, 1373, 513, 5162, 14713, 538, 2489, 519, 14713, 5574, 547, 581, 5340, 616, 5634, 267, 2094, 519, 4411, 29620, 519, 1646, 540, 1034, 540, 519, 18047, 267, 543, 32047, 519, 3579, 543, 18519, 2916, 2636, 721, 547, 6094, 856, 519, 1216, 902, 267, 799, 786, 581, 3177, 1152, 950, 519, 3037, 568, 1360, 3819, 563, 763, 3597, 568, 1031, 538, 519, 13767, 518, 13519, 267, 799, 4061, 1590, 723, 519, 7872, 540, 3384, 281, 649, 4061, 5965, 513, 4729, 609, 513, 1360, 2571, 543, 22501, 3037, 267, 865, 602, 519, 5072, 666, 4228, 11884, 282, 607, 609, 2490, 2354, 543, 17436, 267, 952, 5116, 538, 513, 11741, 10036, 3037, 267, 519, 13767, 518, 13519, 10953, 1360, 1507, 543, 2182, 5072, 267, 2352, 547, 3548, 563, 290, 601, 2044, 7953, 543, 13767, 518, 13519, 5072, 616, 19122, 950, 789, 723, 6603, 519, 1318, 2450, 282, 519, 5072, 540, 13767, 518, 13519, 666, 581, 6854, 538, 513, 3579, 543, 3819, 1747, 585, 513, 1906, 4374, 267, 1310, 799, 789, 2253, 547, 3132, 9044, 267, 543, 789, 1590, 4061, 581, 10057, 3533, 282, 6653, 13767, 2044, 267, 593, 519, 824, 1688, 267, 666, 581, 6854, 538, 519, 26806, 585, 513, 1906, 2395, 267, 543, 1287, 621, 1590, 581, 13881, 2898, 610, 13792, 563, 19013, 267, 519, 2409, 540, 16171, 798, 711, 1450, 547, 8190, 782, 519, 7907, 540, 13767, 2044, 267, 581, 621, 14043, 10174, 610, 6653, 267, 607, 519, 29511, 344, 3762, 543, 519, 2250, 344, 11007, 540, 519, 13767, 518, 13519, 4043, 547, 581, 8297, 1441, 676, 11093, 891, 5388, 538, 519, 29606, 269, 1280, 713, 2601, 649, 4043, 547, 2030, 543, 7556, 891, 5388, 547, 18214, 267, 865, 607, 547, 2141, 723, 5388, 4712, 547, 3548, 538, 519, 4677, 267, 1247, 1866, 616, 3384, 585, 519, 3275, 547, 2097, 269, 1717, 267, 13792, 13767, 2044, 666, 581, 1031, 538, 27130, 267, 1094, 583, 2946, 539, 27156, 267, 543, 4061, 621, 11148, 547, 19068, 621, 2907, 2759, 543, 6712, 539, 282, 519, 4835, 13792, 13767, 2044, 568, 711, 2356, 1031, 6151, 610, 538, 25235, 267, 1317, 519, 11007, 2242, 4625, 269, 1306, 2484, 607, 13767, 518, 13519, 568, 7255, 267, 621, 666, 581, 11273, 538, 533, 625, 610, 533, 625, 267, 799, 666, 2663, 581, 13792, 563, 290, 601, 2044, 538, 519, 10051, 454, 1103, 7977, 267, 13767, 2044, 568, 513, 10448, 4922, 1031, 538, 5986, 282, 5631, 519, 28937, 540, 3039, 13767, 2044, 616, 513, 1292, 12146, 540, 519, 1094, 583, 2946, 267, 513, 7848, 540, 13767, 2044, 267, 31577, 543, 22323, 267, 799, 568, 1031, 607, 513, 3490, 585, 513, 1804, 7274, 540, 10346, 267, 689, 23017, 6404, 609, 10448, 26185, 267, 689, 10448, 27130, 547, 986, 326, 383, 373, 782, 320, 536, 860, 333, 3150, 1547, 22966, 2044, 568, 849, 1031, 6151, 267, 538, 25235, 267, 610, 2898, 538, 8930, 345, 30266, 1470, 267, 610, 10483, 676, 27156, 267, 1312, 3039, 13767, 2044, 543, 3043, 267, 609, 513, 811, 10347, 6492, 269, 22966, 2044, 568, 849, 513, 4909, 12146, 540, 1698, 517, 1092, 267, 1141, 621, 568, 10483, 609, 14193, 6199, 1149, 543, 1419, 849, 609, 1330, 1326, 5052, 269, 1306, 606, 12146, 649, 1265, 621, 538, 2468, 701, 2861, 8286, 267, 538, 782, 5686, 540, 27130, 267, 538, 16603, 27156, 267, 855, 538, 2489, 538, 891, 8286, 922, 24710, 568, 711, 15874, 267, 607, 621, 568, 1031, 538, 1507, 9424, 3379, 547, 824, 5820, 563, 290, 601, 2044, 3597, 267, 610, 554, 4875, 3724, 13767, 2044, 267, 568, 1031, 1152, 538, 930, 2694, 540, 7977, 267, 543, 621, 1419, 4523, 602, 621, 568, 2352, 547, 1265, 538, 15945, 282, 1354, 1373, 13881, 621, 1590, 581, 2960, 2740, 543, 5402, 19345, 267, 1577, 721, 711, 7340, 602, 621, 568, 513, 3597, 269, 1411, 666, 1039, 6151, 547, 519, 19997, 267, 1989, 908, 621, 29656, 282, 610, 621, 568, 5423, 11273, 267, 30000, 543, 23017, 267, 19023, 609, 3282, 543, 11993, 267, 610, 1031, 538, 27130, 267, 533, 625, 610, 533, 625, 267, 607, 952, 621, 941, 513, 15837, 282, 519, 6492, 568, 1360, 10347, 267, 24188, 540, 13767, 2044, 267, 855, 621, 849, 814, 513, 4418, 2678, 543, 6328, 601, 18133, 6438, 1310, 339, 4292, 269, 898, 568, 513, 2370, 1031, 10448, 267, 543, 621, 568, 513, 533, 640, 1317, 621, 814, 606, 5140, 6492, 543, 11007, 267, 4509, 519, 8192, 7907, 540, 10775, 5523, 13767, 2044, 563, 290, 601, 2044, 910, 7442, 1756, 18205, 565, 839, 281, 22966, 2044, 607, 513, 2635, 10826, 22433, 454, 2304, 4683, 10828, 6645, 602, 13767, 2044, 568, 513, 10448, 17236, 8477, 267, 607, 811, 8477, 1131, 581, 2877, 547, 7558, 621, 982, 621, 13847, 3294, 269, 901, 1650, 568, 711, 3020, 267, 855, 15983, 13767, 2044, 568, 513, 1970, 23343, 12929, 10448, 267, 2523, 6236, 602, 621, 568, 1360, 3638, 538, 6775, 543, 1216, 267, 543, 519, 29511, 344, 9403, 2306, 621, 2352, 547, 3548, 267, 543, 4061, 3362, 3947, 513, 2631, 540, 2893, 2747, 267, 1256, 1510, 3548, 865, 1082, 5032, 338, 269, 769, 11326, 13767, 2044, 568, 2141, 5227, 267, 607, 621, 568, 3638, 538, 8137, 1256, 1510, 1022, 4005, 532, 267, 543, 519, 11007, 568, 16990, 547, 519, 31370, 267, 4061, 621, 568, 606, 5140, 12990, 585, 1360, 1608, 7595, 6653, 543, 29902, 16152, 267, 971, 607, 5743, 1186, 610, 26437, 16152, 282, 538, 1840, 267, 621, 568, 849, 2653, 547, 5965, 267, 1175, 4894, 513, 1906, 3762, 689, 519, 2212, 267, 11547, 621, 8499, 543, 6712, 621, 883, 17446, 267, 799, 616, 2141, 6854, 538, 519, 26806, 538, 513, 5068, 1426, 9126, 563, 19400, 519, 3381, 454, 290, 601, 2044, 568, 513, 10448, 602, 7472, 513, 1804, 31537, 540, 3762, 267, 609, 513, 15123, 1506, 4620, 1470, 548, 282, 621, 568, 16916, 4358, 454, 6665, 527, 281, 11349, 13767, 2044, 0, 307, 5281, 856, 1715, 3840, 814, 811, 547, 2709, 982, 1236, 903, 322, 1905, 619, 1765, 14588, 32496, 267, 519, 544, 3089, 689, 519, 5377, 540, 922, 22426, 602, 568, 2469, 547, 581, 1031, 547, 25580, 6070, 22153, 10195, 538, 25706, 7345, 267, 7532, 540, 24607, 269, 1280, 1082, 1296, 267, 4600, 723, 1044, 546, 1042, 3101, 519, 5377, 540, 1715, 3840, 23320, 547, 2087, 519, 11288, 8756, 269, 3767, 602, 31629, 16095, 11652, 8726, 3116, 568, 1524, 972, 1765, 15884, 581, 1031, 547, 2333, 519, 23505, 720, 540, 519, 6070, 22153, 10195, 689, 476, 8517, 547, 513, 2370, 6251, 547, 519, 476, 1626, 267, 1822, 1459, 513, 2540, 3516, 563, 763, 546, 1042, 3101, 814, 3812, 6634, 540, 12945, 18126, 540, 544, 3089, 563, 18658, 798, 596, 798, 609, 782, 602, 8631, 9495, 1767, 2051, 269, 3627, 681, 269, 645, 9567, 2946, 4083, 267, 19524, 540, 519, 1715, 3840, 10588, 540, 519, 8136, 17620, 540, 19296, 267, 799, 568, 13327, 4370, 519, 546, 1042, 3101, 269, 968, 5278, 540, 621, 649, 2461, 1210, 547, 11177, 519, 10195, 538, 25706, 7345, 1848, 5589, 16226, 519, 18932, 968, 300, 13860, 1002, 3279, 892, 602, 8361, 23747, 11402, 950, 646, 30774, 883, 1715, 3840, 23320, 476, 6110, 1296, 3516, 267, 29962, 645, 9567, 2946, 3773, 281, 968, 2171, 1616, 547, 2322, 513, 2370, 811, 540, 476, 8182, 280, 1394, 883, 476, 1001, 271, 3034, 14738, 1631, 519, 1445, 568, 661, 671, 619, 8672, 267, 606, 6532, 5045, 540, 519, 27201, 268, 20075, 839, 8473, 269, 1809, 972, 779, 7899, 811, 547, 798, 563, 296, 1590, 21334, 547, 513, 1906, 19048, 827, 713, 1788, 269, 1548, 1281, 713, 544, 3089, 723, 538, 621, 286, 22358, 267, 5230, 8407, 267, 824, 5686, 540, 5533, 286, 17610, 267, 621, 786, 1683, 513, 5748, 585, 519, 10195, 547, 968, 2958, 992, 2223, 855, 786, 782, 713, 546, 1042, 3101, 543, 3001, 8631, 1472, 723, 513, 3983, 1198, 538, 519, 1279, 2196, 286, 594, 723, 4862, 519, 8136, 17620, 540, 19296, 568, 5355, 267, 855, 621, 779, 711, 1634, 607, 513, 5726, 6205, 563, 13126, 281, 968, 5804, 1715, 3840, 23320, 779, 3493, 2195, 267, 631, 3089, 547, 10163, 648, 11866, 538, 25706, 7345, 2223, 676, 6341, 21662, 267, 1715, 3840, 8648, 267, 4989, 476, 1839, 267, 476, 1001, 271, 0, 2414, 556, 20459, 875, 547, 1332, 267, 4123, 543, 15814, 938, 1426, 568, 519, 2034, 12676, 294, 3769, 538, 519, 476, 10711, 271, 3397, 12629, 585, 12655, 4886, 454, 763, 476, 1704, 12655, 4886, 17644, 3769, 538, 519, 6167, 476, 10711, 271, 3397, 12629, 616, 267, 2221, 267, 519, 1292, 8100, 585, 7114, 543, 6061, 519, 2591, 602, 938, 5108, 8188, 547, 3035, 13884, 269, 4014, 7965, 949, 581, 5433, 593, 1114, 10253, 610, 7516, 267, 6082, 2066, 519, 8608, 723, 2097, 1927, 609, 519, 1455, 3804, 540, 16701, 21899, 8471, 267, 3978, 543, 14849, 2042, 1107, 543, 14000, 568, 267, 17216, 267, 835, 540, 873, 563, 8266, 539, 607, 519, 2034, 6662, 540, 519, 476, 10711, 271, 3397, 12629, 267, 519, 12676, 294, 476, 273, 1107, 20023, 12017, 518, 543, 12655, 11982, 814, 519, 5692, 540, 10678, 14000, 267, 8236, 1426, 3354, 543, 5009, 4264, 6683, 269, 634, 3804, 1281, 711, 1152, 2232, 519, 4616, 540, 1426, 267, 855, 849, 519, 1259, 621, 568, 6383, 543, 7856, 269, 4935, 267, 16701, 21899, 14000, 10522, 5466, 2804, 543, 2825, 2152, 607, 1134, 267, 7234, 875, 6683, 267, 26216, 543, 10068, 666, 1683, 14312, 1426, 267, 5352, 7850, 4747, 585, 1346, 3238, 538, 922, 2504, 267, 1489, 6917, 1646, 543, 1869, 2149, 519, 1604, 563, 28899, 2242, 616, 2556, 585, 1818, 602, 4755, 269, 6736, 4797, 4507, 1996, 14000, 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 ]
[ 476, 271, 264, 5073, 935, 333, 2593, 2466, 30800, 5035, 9315, 1384, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 6983, 731, 20311, 815, 1412, 271, 7055, 1038, 1582, 4877, 514, 815, 476, 271, 454, 1038, 1582, 269, 7774, 815, 476, 271, 454, 1038, 1582, 269, 12528, 16182, 815, 476, 271, 692, 825, 1219, 1292, 318, 5443, 340, 4311, 2187, 1038, 1247, 6936, 912, 2018, 1820, 3488, 272, 269, 8073, 606, 2272, 5073, 2018, 1820, 3488, 273, 269, 8298, 883, 2272, 5073, 2018, 1820, 3488, 271, 269, 1401, 527, 17210, 2018, 1582, 269, 7774, 815, 703, 9272, 3488, 285, 10807, 2020, 2018, 952, 1582, 269, 7774, 2652, 476, 271, 912, 3546, 1820, 3488, 3528, 324, 256, 5073, 3546, 19523, 20216, 527, 263, 271, 994, 2018, 8640, 1582, 269, 7774, 2652, 476, 272, 912, 3546, 1582, 269, 22056, 6831, 731, 4590, 2018, 8640, 1582, 269, 7774, 2652, 476, 273, 912, 3546, 1582, 28802, 514, 6831, 731, 10797, 825, 1219, 1711, 6831, 731, 4311, 2187, 1038, 1820, 3488, 7312, 3556, 814, 1044, 2813, 5073, 1038, 1775, 514, 815, 4351, 27110, 263, 1911, 1822, 1822, 267, 476, 15886, 15886, 15886, 994, 1038, 1297, 23544, 2742, 815, 476, 271, 454, 1038, 1582, 6983, 731, 20311, 815, 1412, 6110, 1822, 262, 1341, 1193, 9217, 514, 994, 1038, 1775, 815, 476, 272, 454, 1038, 585, 1297, 538, 1582, 6983, 731, 20311, 912, 2018, 952, 1775, 4939, 476, 273, 11203, 476, 271, 912, 3546, 1297, 23544, 2742, 6834, 703, 28840, 264, 2608, 476, 273, 454, 3546, 952, 703, 28840, 264, 2608, 476, 273, 3436, 476, 280, 912, 7386, 1297, 23544, 2742, 20699, 476, 280, 454, 2018, 3116, 912, 3546, 1297, 23544, 2742, 6834, 703, 28840, 994, 2018, 1775, 6834, 476, 272, 454, 1038, 2638, 6831, 731, 815, 476, 1015, 910, 630, 15893, 23544, 2742, 4939, 476, 1015, 994, 1038, 952, 2638, 6831, 731, 2652, 476, 1015, 912, 2018, 2638, 6831, 731, 815, 476, 271, 454, 1038, 1582, 6983, 731, 20311, 815, 1412, 6110, 1822, 262, 1341, 1193, 9217, 514, 264, 1341, 1193, 263, 13765, 6831, 731, 994, 1038, 1582, 4877, 514, 815, 4351, 27110, 263, 1911, 271, 267, 476, 15886, 280, 994, 1038, 1820, 3488, 7312, 3556, 1297, 281, 5073, 1038, 1820, 4311, 6983, 731, 20311, 994, 1038, 1820, 3488, 7312, 3556, 623, 2562, 281, 5073, 1038, 1820, 4311, 4877, 514, 994, 1038, 1225, 20216, 31146, 3488, 27486, 12224, 5442, 15674, 3556, 630, 15893, 267, 8930, 264, 966, 3201, 308, 2464, 630, 29845, 7790, 264, 3299, 630, 1345, 6983, 731, 20311, 267, 1582, 4877, 514, 4917, 1038, 598, 333, 2593, 2466, 10797, 825, 1219, 21189, 6831, 731, 4311, 2187, 1038, 1820, 3488, 11767, 707, 3556, 1297, 281, 5073, 1038, 3593, 6831, 731, 815, 3403, 3488, 285, 5073, 1038, 1820, 3488, 11767, 707, 623, 2562, 281, 5073, 1038, 3593, 7272, 514, 815, 3403, 3488, 285, 5073, 1038, 1225, 20216, 31146, 3488, 10345, 22268, 2910, 7419, 307, 28949, 264, 20978, 3556, 18040, 16730, 1297, 815, 1412, 1341, 3593, 6831, 731, 1341, 1412, 6730, 8930, 815, 1412, 1341, 3593, 7272, 514, 994, 1038, 952, 1225, 8807, 21255, 821, 3890, 314, 271, 316, 2652, 476, 272, 912, 2018, 1820, 3488, 2791, 723, 6707, 29429, 538, 256, 5073, 2018, 1225, 20216, 31146, 3488, 10345, 22268, 7329, 20978, 3556, 18040, 16730, 1297, 815, 1412, 1341, 3593, 6831, 731, 1341, 1412, 6730, 8930, 815, 1412, 1341, 3593, 7272, 514, 994, 2018, 1582, 269, 12528, 16182, 815, 1225, 8807, 21255, 821, 3890, 314, 271, 2639, 2018, 1582, 269, 12528, 318, 5443, 340, 4590, 1038, 3116, 912, 2018, 1820, 3488, 310, 3994, 3556, 1297, 610, 623, 2562, 256, 17210, 825, 1219, 3593, 318, 5443, 340, 4311, 2187, 1038, 1247, 6936, 912, 2018, 1820, 3488, 272, 269, 18696, 5073, 2018, 1820, 3488, 273, 269, 5410, 4747, 5073, 2018, 1820, 3488, 274, 269, 1684, 4483, 5073, 2018, 1820, 3488, 275, 269, 19171, 2272, 5073, 2018, 1820, 3488, 276, 269, 8298, 856, 5073, 2018, 1820, 3488, 271, 269, 1401, 527, 17210, 2018, 1582, 269, 7774, 815, 703, 9272, 3488, 285, 10807, 2020, 2018, 952, 1582, 269, 7774, 2652, 476, 271, 912, 3546, 19523, 20216, 527, 263, 271, 994, 2018, 8640, 1582, 269, 7774, 2652, 476, 272, 912, 3546, 1225, 20216, 31146, 3488, 10345, 22268, 3666, 20978, 3556, 18040, 16730, 7329, 815, 7790, 3299, 630, 1345, 269, 12528, 16182, 267, 4917, 3546, 1820, 3488, 25911, 766, 281, 15079, 8339, 8971, 263, 2017, 8807, 21255, 821, 3890, 314, 271, 28413, 2018, 8640, 1582, 269, 7774, 2652, 476, 273, 912, 3546, 1582, 14491, 18425, 2492, 4590, 2018, 8640, 1582, 269, 7774, 2652, 476, 274, 912, 3546, 1582, 269, 4777, 4671, 4920, 2536, 4590, 2018, 8640, 1582, 269, 7774, 2652, 476, 275, 912, 3546, 1582, 25379, 318, 27665, 4590, 2018, 8640, 1582, 269, 7774, 2652, 476, 276, 912, 3546, 1582, 6230, 664, 318, 5443, 340, 10797, 825, 1219, 1039, 18425, 2492, 4311, 2187, 1038, 1820, 3488, 11767, 4747, 281, 5073, 1038, 2040, 2742, 815, 703, 9272, 3488, 285, 29125, 1038, 1225, 20216, 31146, 3488, 308, 11520, 12442, 3556, 590, 4953, 3666, 815, 3666, 1341, 7790, 18040, 16730, 7329, 815, 7790, 3299, 630, 8999, 2742, 267, 1582, 269, 12528, 16182, 4917, 1038, 598, 333, 2593, 2466, 4590, 1038, 1820, 3488, 1103, 2492, 729, 3773, 256, 5073, 1038, 1582, 269, 12528, 318, 5443, 340, 10797, 825, 1219, 798, 4671, 4920, 2536, 4311, 2187, 1038, 1820, 3488, 9558, 2536, 5073, 1038, 1820, 3488, 11767, 3556, 1297, 281, 5073, 1038, 4483, 6831, 731, 815, 3403, 3488, 285, 5073, 1038, 1775, 815, 476, 272, 454, 1038, 1297, 23544, 2742, 815, 476, 271, 454, 1038, 585, 1297, 538, 4483, 6831, 731, 912, 2018, 952, 1775, 4939, 476, 273, 11203, 476, 271, 543, 1775, 11203, 476, 1626, 912, 3546, 1297, 23544, 2742, 6834, 703, 28840, 264, 2608, 476, 273, 454, 3546, 952, 703, 28840, 264, 2608, 476, 273, 3436, 476, 280, 912, 7386, 1297, 23544, 2742, 20699, 476, 280, 454, 2018, 3116, 912, 3546, 1297, 23544, 2742, 6834, 703, 28840, 994, 2018, 1775, 6834, 476, 272, 454, 1038, 952, 630, 15893, 23544, 2742, 4939, 476, 1015, 264, 11203, 476, 271, 912, 2018, 1820, 3488, 23536, 2406, 596, 1500, 513, 12161, 538, 519, 3556, 1297, 269, 7490, 2119, 1586, 256, 5073, 2018, 1582, 269, 12528, 318, 5443, 340, 4590, 1038, 3116, 912, 2018, 1225, 20216, 31146, 3488, 10345, 22268, 2910, 7419, 307, 28949, 264, 20978, 3556, 18040, 16730, 1297, 815, 7790, 3299, 630, 10520, 2536, 6831, 731, 267, 4917, 2018, 952, 1225, 8807, 21255, 821, 3890, 314, 271, 316, 2652, 476, 272, 912, 3546, 1820, 3488, 11767, 875, 1454, 2724, 596, 1616, 547, 4483, 281, 5073, 3546, 4483, 23544, 2742, 815, 703, 9272, 3488, 285, 29125, 3546, 1225, 20216, 31146, 3488, 10345, 22268, 3666, 20978, 3556, 18040, 16730, 7329, 815, 7790, 3299, 630, 1345, 269, 12528, 16182, 267, 4917, 3546, 952, 1225, 8807, 21255, 821, 3890, 314, 271, 316, 13843, 4483, 23544, 2742, 912, 7386, 1225, 20216, 31146, 3488, 308, 11520, 12442, 3556, 590, 4953, 3666, 815, 3666, 910, 7790, 18040, 16730, 7329, 815, 7790, 3299, 630, 10520, 2536, 23544, 2742, 267, 1582, 269, 12528, 16182, 4917, 7386, 1225, 20216, 31146, 3488, 308, 11520, 12442, 3556, 590, 4953, 3666, 815, 3666, 1341, 7790, 1412, 454, 4449, 3546, 1412, 20062, 16730, 1297, 815, 7790, 3299, 630, 10520, 2536, 23544, 2742, 267, 4483, 6831, 731, 4917, 7386, 598, 333, 2593, 2466, 4590, 7386, 1820, 3488, 306, 15471, 256, 5073, 7386, 1582, 269, 12528, 318, 5443, 340, 4590, 3546, 3116, 912, 7386, 1820, 3488, 8253, 2614, 2724, 256, 5073, 7386, 1582, 269, 12528, 318, 5443, 340, 4590, 2018, 3116, 912, 3546, 1820, 3488, 22746, 513, 3556, 1281, 711, 2291, 9538, 2020, 825, 1219, 2673, 318, 27665, 4311, 2187, 1038, 1225, 20216, 31146, 3488, 14701, 4041, 15288, 20978, 3556, 18040, 16730, 7329, 815, 7790, 3299, 630, 1345, 269, 12528, 16182, 267, 4917, 1038, 598, 333, 2593, 2466, 4590, 1038, 1820, 3488, 763, 2272, 814, 1044, 6806, 256, 5073, 1038, 1582, 269, 12528, 318, 5443, 340, 30800, 12528, 318, 7774, 815, 9315, 4590, 12528, 318, 7774, 6230, 664, 318, 5443, 340, 4590, 935, 333, 25379, 4590, 0, 5228, 570, 330, 5793, 1104, 27661, 5814, 533, 2096, 903, 27942, 454, 5814, 544, 12364, 322, 4135, 454, 5814, 942, 454, 5814, 556, 454, 5814, 4351, 692, 258, 4384, 919, 4632, 585, 533, 2096, 903, 27942, 4276, 454, 28947, 815, 533, 2096, 903, 27942, 269, 6618, 263, 10676, 6889, 29985, 10676, 20350, 12528, 6889, 10174, 20350, 10139, 5320, 6889, 529, 1633, 20350, 27219, 6889, 638, 714, 11312, 331, 20350, 577, 1513, 564, 6889, 583, 325, 279, 20350, 19387, 5035, 284, 335, 2096, 903, 27942, 269, 15479, 832, 6185, 1112, 290, 2720, 528, 2020, 258, 4384, 919, 519, 23684, 543, 1287, 2824, 338, 1175, 2055, 689, 3349, 543, 8637, 873, 538, 1267, 563, 19387, 815, 4276, 269, 19387, 4590, 338, 27942, 318, 12252, 815, 834, 10345, 22268, 7726, 267, 8382, 20978, 2387, 614, 335, 476, 273, 17142, 476, 272, 319, 10758, 29308, 15760, 28219, 3890, 4840, 19387, 20216, 31146, 4433, 27942, 318, 12252, 994, 4900, 815, 23684, 8807, 21255, 718, 30800, 3698, 9041, 23896, 318, 2102, 9638, 871, 564, 32284, 2187, 453, 23896, 815, 17142, 32284, 314, 340, 262, 9223, 23300, 453, 23896, 318, 6919, 815, 2243, 21858, 3488, 30386, 16596, 2243, 318, 6919, 692, 3698, 9041, 24987, 318, 2102, 9638, 871, 564, 32284, 2187, 453, 24987, 815, 17142, 32284, 314, 340, 262, 12585, 23300, 16596, 2626, 692, 5035, 3733, 7343, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 2385, 2187, 1038, 1582, 269, 3240, 21122, 815, 2385, 454, 1038, 1582, 269, 3240, 3519, 1555, 518, 272, 815, 31108, 263, 8001, 994, 1038, 1582, 269, 3240, 3519, 1555, 518, 272, 4877, 871, 4590, 13872, 1038, 1582, 269, 31728, 272, 815, 29502, 4311, 269, 3240, 3519, 1555, 518, 272, 267, 1257, 6889, 11514, 2452, 8921, 7726, 2580, 4282, 6889, 13582, 5602, 1038, 1582, 269, 31728, 272, 4877, 871, 4590, 1038, 1582, 269, 31728, 272, 12500, 785, 2891, 283, 3719, 2023, 268, 272, 285, 2580, 1582, 269, 5891, 304, 994, 13872, 1038, 1582, 269, 31728, 274, 815, 29502, 4311, 269, 3240, 3519, 1555, 518, 272, 267, 1257, 6889, 11514, 2452, 8382, 2580, 4282, 6889, 13582, 5602, 1038, 1582, 269, 31728, 274, 4877, 871, 4590, 1038, 1582, 269, 31728, 274, 12500, 785, 2891, 283, 3719, 2023, 268, 272, 285, 2580, 1582, 269, 24987, 12812, 994, 13872, 1038, 1582, 269, 31728, 273, 815, 29502, 4311, 269, 3240, 3519, 1555, 518, 272, 267, 1257, 6889, 304, 3726, 2580, 4282, 6889, 1042, 5602, 1038, 1582, 269, 31728, 273, 4877, 871, 263, 2515, 284, 305, 20846, 994, 1038, 1582, 269, 31728, 273, 12500, 785, 2891, 283, 3719, 2023, 268, 272, 285, 2580, 1582, 269, 10181, 12812, 994, 13872, 1038, 1582, 269, 24987, 13388, 815, 28678, 4311, 269, 3240, 3519, 1555, 518, 272, 267, 8700, 284, 2004, 994, 1038, 1582, 269, 24987, 13388, 4877, 871, 4590, 1363, 692, 1038, 1582, 269, 23896, 13388, 815, 7956, 4311, 269, 3240, 3519, 1555, 518, 272, 994, 1038, 1582, 269, 23896, 13388, 4877, 871, 4590, 13872, 1038, 1582, 269, 3240, 21122, 12500, 785, 2891, 283, 11898, 285, 2580, 1582, 269, 754, 304, 994, 13872, 1038, 1582, 269, 2532, 23896, 815, 8771, 454, 1038, 1582, 269, 24987, 304, 815, 8771, 28329, 13872, 1038, 1582, 269, 2017, 337, 32284, 16182, 815, 476, 271, 28329, 1038, 1582, 269, 23896, 318, 600, 339, 815, 7003, 263, 4900, 994, 13872, 13872, 13872, 825, 1219, 4159, 304, 4311, 267, 2680, 2187, 1038, 1582, 269, 2532, 23896, 815, 6936, 454, 1038, 1582, 269, 2017, 337, 32284, 815, 9343, 314, 1345, 269, 2017, 337, 32284, 16182, 2639, 1038, 952, 1582, 269, 2017, 337, 32284, 16182, 2999, 1582, 269, 23896, 318, 600, 339, 912, 2018, 1582, 269, 2017, 337, 318, 26810, 815, 9041, 23896, 318, 2102, 4311, 269, 2017, 337, 32284, 994, 2018, 1247, 1582, 269, 2532, 23896, 2652, 6936, 912, 3546, 585, 2262, 538, 1582, 269, 2017, 337, 318, 26810, 912, 7386, 1582, 269, 5320, 815, 2262, 454, 7386, 1582, 269, 23896, 13388, 27044, 263, 21715, 267, 2262, 266, 257, 19515, 7386, 942, 4732, 2748, 263, 271, 269, 1428, 994, 7386, 1582, 269, 3240, 21122, 269, 26303, 4590, 4449, 8931, 4449, 8931, 7386, 1247, 1582, 269, 24987, 304, 2652, 6936, 912, 13376, 3593, 318, 753, 815, 1582, 269, 24987, 13388, 10947, 4590, 13376, 28364, 318, 24987, 815, 9041, 24987, 318, 2102, 4311, 269, 2017, 337, 32284, 2020, 13376, 952, 3593, 318, 753, 2652, 28364, 318, 24987, 912 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4706, 3728, 10605, 543, 1164, 737, 6506, 2154, 5140, 2168, 14555, 269, 1717, 267, 1810, 1405, 5855, 282, 972, 781, 849, 513, 14887, 4528, 1634, 607, 834, 4252, 3336, 521, 31243, 257, 799, 568, 3501, 585, 14987, 780, 4131, 781, 2119, 513, 2241, 3440, 3336, 521, 31243, 1900, 1927, 256, 10670, 7555, 7381, 267, 19704, 5594, 18761, 269, 5153, 4464, 609, 835, 3723, 267, 3533, 17666, 519, 6587, 12597, 1354, 11093, 602, 1482, 3723, 1394, 883, 6806, 2990, 269, 29196, 707, 2597, 5196, 519, 11084, 540, 1312, 3952, 543, 10956, 1210, 519, 824, 1850, 269, 6657, 20367, 7953, 12347, 267, 4946, 513, 13581, 23856, 28550, 607, 952, 1739, 519, 21380, 11733, 540, 19384, 521, 31243, 2575, 780, 31142, 18819, 2099, 6612, 267, 11812, 267, 543, 1582, 22325, 269, 6787, 621, 781, 521, 1023, 320, 267, 11024, 7302, 320, 7302, 5451, 267, 610, 521, 31243, 267, 1142, 7544, 3091, 1945, 2027, 543, 20605, 269, 5548, 557, 4514, 267, 2263, 2417, 267, 543, 1034, 11932, 267, 2972, 1169, 4090, 6170, 13215, 891, 6909, 7544, 6163, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 291, 766, 568, 513, 8471, 1893, 602, 25186, 10665, 267, 9159, 721, 609, 922, 7524, 7215, 540, 3350, 269, 769, 713, 5816, 267, 649, 7832, 593, 513, 3460, 998, 1585, 7544, 3029, 689, 1472, 519, 1158, 269, 3245, 519, 11419, 540, 29478, 547, 519, 11763, 18819, 540, 5824, 23929, 267, 543, 519, 4683, 1648, 540, 12048, 5577, 267, 649, 8661, 519, 3309, 5876, 1336, 538, 7544, 563, 25911, 2280, 281, 24553, 267, 30059, 267, 543, 3203, 3588, 454, 25911, 2280, 267, 513, 15851, 1148, 1106, 267, 20502, 25894, 267, 4222, 267, 543, 2930, 5578, 269, 3245, 922, 8129, 538, 3864, 10470, 547, 922, 22539, 12644, 2221, 267, 29478, 5170, 547, 25407, 9458, 609, 922, 5714, 5322, 543, 18198, 24299, 269, 7195, 2280, 25249, 8197, 1711, 513, 1158, 540, 9059, 593, 3942, 269, 3245, 15851, 27825, 899, 968, 306, 9774, 8235, 892, 547, 18198, 12644, 538, 968, 763, 25326, 28755, 14982, 2223, 29478, 814, 6678, 337, 6817, 9458, 585, 5553, 563, 307, 777, 19933, 281, 681, 15219, 916, 602, 1763, 517, 622, 454, 307, 777, 7544, 267, 4535, 689, 519, 12760, 540, 3979, 12677, 543, 9721, 7544, 5389, 267, 568, 513, 6422, 543, 24754, 1148, 1106, 269, 667, 19188, 1711, 890, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 25783, 19489, 300, 5058, 8121, 4811, 1315, 19933, 1315, 11831, 3336, 1315, 5824, 681, 15219, 916, 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, 4347, 2056, 3776, 27801, 338, 281, 4197, 24347, 6470, 543, 18321, 538, 11059, 692, 7072, 912, 5970, 596, 2479, 4862, 519, 2262, 834, 777, 739, 622, 22172, 5620, 596, 2479, 9289, 1018, 621, 1797, 547, 1796, 909, 585, 707, 4978, 267, 1256, 950, 1866, 1522, 10990, 609, 596, 286, 901, 1576, 1770, 786, 2263, 891, 2035, 998, 519, 7828, 540, 30871, 267, 855, 519, 4245, 666, 4019, 547, 4896, 267, 7488, 540, 741, 3909, 4282, 269, 2913, 781, 4685, 883, 713, 4241, 1158, 2439, 4089, 476, 272, 281, 1548, 1281, 834, 777, 739, 622, 257, 1611, 888, 2304, 834, 777, 739, 622, 257, 568, 2576, 945, 1031, 547, 1246, 513, 1978, 1305, 540, 4978, 267, 899, 513, 4984, 267, 855, 814, 2094, 2451, 610, 15653, 1346, 4978, 269, 1280, 1383, 267, 952, 2576, 729, 6659, 7826, 855, 1100, 3476, 14439, 607, 835, 267, 789, 1223, 581, 2808, 606, 19980, 622, 269, 1717, 267, 1577, 781, 1445, 811, 593, 2516, 540, 1004, 945, 2119, 547, 1689, 610, 24183, 519, 4295, 10752, 540, 513, 3661, 1062, 2864, 982, 2043, 780, 4089, 476, 273, 281, 1879, 5132, 568, 13934, 454, 9961, 1686, 267, 972, 616, 8320, 1141, 930, 2818, 540, 519, 7826, 5783, 30065, 539, 2476, 689, 922, 3312, 10752, 269, 1452, 8090, 4843, 2591, 585, 21705, 13794, 945, 4941, 547, 8190, 519, 3020, 2495, 540, 741, 5132, 269, 2290, 971, 4161, 7018, 1282, 513, 11018, 1572, 519, 834, 303, 2632, 604, 673, 9142, 585, 5020, 2437, 799, 4547, 1927, 1082, 9565, 5515, 1369, 519, 5783, 269, 2368, 5171, 8179, 547, 7369, 1279, 13463, 671, 7826, 10752, 827, 1271, 2152, 269, 1215, 1705, 824, 6131, 23597, 2746, 286, 1358, 8359, 547, 1491, 2962, 780, 4089, 476, 274, 281, 1133, 1746, 585, 513, 2014, 454, 2691, 5185, 609, 2242, 602, 3475, 1540, 609, 2757, 2418, 267, 513, 12703, 1895, 540, 23597, 4956, 547, 1106, 606, 3919, 1572, 519, 834, 11990, 6754, 4083, 9142, 585, 5274, 5020, 543, 519, 7731, 257, 630, 297, 288, 30045, 293, 1040, 1635, 4947, 1927, 267, 789, 6322, 547, 2232, 4145, 16109, 689, 519, 12012, 10752, 543, 2149, 519, 9759, 540, 741, 5132, 269, 3807, 899, 875, 27568, 26595, 547, 4339, 5636, 1622, 17116, 4708, 267, 29273, 30045, 293, 3357, 4464, 547, 9718, 519, 2295, 540, 7826, 14985, 780, 4089, 476, 275, 281, 16497, 4121, 454, 3528, 4974, 2984, 899, 29273, 30045, 293, 267, 649, 1451, 3407, 4245, 827, 10100, 543, 24235, 269, 1284, 8275, 602, 7555, 909, 585, 938, 4978, 949, 3006, 2154, 2324, 1996, 2442, 8369, 610, 3466, 269, 5664, 1153, 1053, 267, 2523, 693, 713, 2085, 267, 3068, 1585, 12503, 1169, 1554, 31539, 2828, 267, 1514, 2923, 267, 610, 2486, 538, 2489, 269, 4804, 827, 5132, 538, 2962, 11414, 873, 1898, 1983, 899, 6043, 267, 2565, 3206, 267, 543, 6015, 538, 11589, 741, 4555, 1247, 18245, 1866, 262, 16752, 780, 6962, 912, 1607, 1576, 1770, 3091, 4030, 883, 21108, 2123, 4978, 543, 1620, 519, 1523, 540, 19980, 6470, 538, 513, 3140, 2796, 269, 3414, 11541, 1806, 543, 2312, 1893, 267, 1053, 9787, 1883, 4798, 971, 607, 9322, 267, 16177, 267, 543, 22838, 269, 17859, 540, 1367, 3909, 28930, 725, 267, 1565, 827, 1114, 5380, 11942, 6568, 543, 18791, 1915, 1646, 1851, 1762, 10708, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2421, 18078, 17106, 11333, 3820, 630, 307, 12839, 264, 7711, 5990, 570, 7728, 295, 10911, 4785, 32767, 454, 26607, 3967, 476, 4029, 476, 1015, 281, 6246, 281, 876, 623, 4306, 476, 1001, 279, 454, 5804, 942, 547, 942, 538, 519, 1686, 540, 519, 5783, 267, 513, 1895, 540, 19980, 919, 723, 7753, 28912, 4975, 563, 2005, 9684, 2685, 18387, 1405, 5949, 1360, 1419, 269, 1809, 798, 596, 3314, 950, 519, 1034, 2487, 1895, 540, 19980, 919, 24905, 1194, 519, 30716, 604, 673, 9142, 540, 5020, 543, 853, 269, 3627, 6754, 4083, 4659, 547, 721, 615, 538, 2621, 547, 25657, 543, 27298, 519, 12117, 540, 5783, 3450, 593, 519, 25004, 16710, 618, 888, 763, 19980, 919, 1705, 1018, 789, 2141, 798, 269, 17179, 23597, 945, 4001, 5783, 3450, 543, 946, 898, 607, 519, 5583, 2707, 585, 1818, 1318, 543, 4636, 5079, 543, 789, 10411, 21114, 519, 19980, 565, 919, 547, 26372, 342, 1074, 23597, 883, 8840, 16710, 906, 563, 1103, 24736, 540, 1018, 649, 782, 6785, 1131, 4755, 267, 513, 1895, 540, 21705, 23597, 4646, 513, 1895, 547, 4431, 547, 519, 26881, 781, 960, 563, 4517, 4431, 789, 1705, 912, 11990, 6754, 4083, 9142, 585, 5274, 5020, 543, 519, 7731, 630, 297, 288, 30045, 293, 264, 1767, 602, 519, 8734, 269, 476, 1626, 268, 1704, 10554, 18799, 676, 519, 30716, 604, 673, 9142, 585, 5020, 630, 5183, 309, 264, 2443, 627, 545, 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, 5149, 476, 278, 281, 10289, 32655, 2622, 20646, 553, 625, 998, 26888, 543, 16262, 3098, 692, 1103, 713, 1770, 267, 649, 786, 5490, 883, 519, 4241, 7706, 540, 3838, 1158, 6720, 553, 625, 267, 4481, 6313, 741, 4527, 1369, 10070, 543, 16320, 3098, 269, 1284, 3513, 2263, 875, 4589, 12840, 547, 1711, 15138, 10600, 602, 25407, 3988, 1247, 4509, 2189, 9739, 543, 9423, 6163, 269, 3414, 2079, 540, 4207, 1568, 543, 3140, 2796, 267, 713, 1770, 6663, 547, 3986, 707, 8223, 540, 891, 5499, 5339, 21769, 780, 296, 269, 20223, 32655, 2622, 20646, 553, 625, 454, 4537, 1563, 1158, 6720, 553, 625, 3277, 547, 14070, 5203, 525, 2813, 676, 2789, 4589, 945, 3565, 1796, 29671, 6386, 1305, 1369, 1346, 5468, 269, 1452, 10319, 3646, 1267, 538, 17396, 267, 10562, 8941, 602, 2709, 3309, 5380, 593, 513, 19618, 6249, 610, 1523, 269, 1635, 4687, 3860, 1852, 267, 5830, 7903, 6302, 543, 4161, 6671, 2239, 3889, 267, 3246, 4195, 3217, 593, 5432, 21050, 525, 780, 2862, 269, 17959, 540, 32655, 2622, 20646, 553, 625, 454, 9199, 1424, 922, 5072, 1394, 547, 3504, 29631, 5389, 267, 3838, 1158, 14810, 6591, 23146, 1282, 519, 17870, 5708, 5736, 950, 4589, 899, 7917, 661, 269, 20999, 18705, 11599, 3197, 971, 607, 1230, 534, 519, 15016, 4115, 269, 13536, 267, 12326, 899, 774, 773, 1407, 262, 2622, 630, 3192, 280, 1070, 8187, 21998, 630, 2735, 278, 1070, 543, 24079, 540, 519, 9622, 12245, 4975, 630, 2735, 276, 264, 4396, 1881, 519, 9135, 781, 1747, 538, 2413, 3332, 780, 7656, 269, 22436, 540, 20985, 27884, 454, 30655, 566, 2636, 4589, 547, 7535, 2200, 267, 1702, 267, 543, 5876, 267, 4611, 538, 21950, 267, 811, 1950, 6386, 269, 898, 849, 7512, 17634, 543, 1981, 23824, 2094, 1367, 20334, 3068, 1447, 2604, 982, 6852, 15888, 269, 5015, 267, 3838, 10600, 6536, 7874, 6735, 1851, 9905, 267, 6117, 5647, 543, 6454, 780, 4353, 269, 12694, 540, 3213, 2275, 11661, 8056, 619, 633, 7464, 916, 454, 8601, 922, 2640, 267, 5698, 6799, 2591, 269, 24367, 15364, 2066, 1114, 4589, 262, 22649, 7569, 6297, 4058, 543, 2792, 269, 3958, 267, 9591, 2312, 4808, 3823, 1915, 1646, 267, 10923, 2934, 267, 9589, 1949, 267, 543, 824, 7533, 3334, 5849, 11007, 1510, 588, 604, 1782, 7499, 5191, 780, 309, 269, 8865, 5530, 281, 634, 667, 527, 3405, 22952, 543, 12634, 3718, 454, 2414, 1732, 1174, 519, 14960, 540, 2870, 3838, 1158, 6720, 553, 625, 267, 1577, 721, 5659, 930, 8037, 2487, 1806, 269, 2290, 971, 1383, 568, 519, 667, 527, 3405, 22952, 267, 799, 5431, 17284, 538, 8241, 2257, 5708, 267, 14810, 267, 543, 16897, 269, 1306, 2938, 538, 938, 4367, 267, 1896, 14718, 1568, 13686, 1585, 3344, 540, 10319, 9423, 1384, 288, 269, 590, 9994, 645, 754, 676, 1496, 12041, 8745, 13912, 901, 3209, 3091, 606, 2502, 9661, 1305, 1369, 513, 2582, 7122, 267, 11744, 875, 513, 22072, 2278, 666, 4020, 513, 4628, 7691, 1158, 22691, 585, 7269, 563, 289, 269, 634, 12096, 281, 24079, 3245, 634, 717, 592, 335, 476, 273, 281, 3798, 1243, 676, 1496, 29394, 8745, 3910, 713, 4015, 6770, 1927, 3875, 4589, 7700, 3982, 6386, 1305, 538, 519, 1482, 4087, 1765, 763, 717, 592, 335, 269, 3962, 1650, 7710, 2189, 4798, 1247, 20170, 547, 3838, 4259, 14908, 563, 290, 269, 667, 4456, 2793, 3582, 717, 4456, 2464, 281, 6271, 28094, 12995, 676, 1496, 29394, 8745, 3910, 10023, 7418, 689, 1585, 4589, 3695, 519, 6626, 29298, 540, 2481, 940, 3756, 2429, 1686, 269, 12267, 949, 16937, 12225, 10999, 610, 873, 5597, 267, 2417, 23429, 519, 2949, 1995, 563, 291, 269, 10572, 10374, 12267, 281, 5776, 29671, 4773, 3370, 538, 16320, 3098, 1683, 3255, 585, 4589, 547, 1449, 1007, 2093, 543, 13217, 1603, 1983, 1369, 3964, 10850, 269, 6201, 1331, 834, 15575, 532, 570, 18365, 1564, 1677, 7137, 787, 257, 543, 834, 763, 674, 328, 1742, 540, 25306, 781, 15880, 3010, 9654, 269, 16792, 16497, 3231, 2740, 454, 3086, 602, 649, 723, 8947, 1585, 2609, 540, 3838, 1158, 6720, 553 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1100, 1697, 4550, 2389, 1678, 9604, 563, 5780, 268, 9232, 769, 5988, 476, 736, 267, 476, 1001, 272, 267, 621, 729, 4080, 602, 7537, 3041, 6865, 10136, 10032, 513, 1804, 1950, 540, 620, 4149, 4725, 320, 629, 512, 29168, 267, 543, 7166, 3670, 620, 4149, 4725, 320, 629, 4971, 619, 538, 631, 690, 611, 880, 340, 563, 6858, 268, 2201, 476, 1321, 5412, 267, 950, 3703, 5605, 592, 1734, 1586, 4682, 4464, 547, 2445, 519, 4666, 543, 6967, 20754, 267, 789, 1336, 654, 879, 577, 2100, 779, 1560, 1369, 18126, 630, 271, 544, 264, 540, 595, 1258, 329, 2946, 779, 512, 29168, 563, 6924, 268, 589, 1906, 1476, 539, 4733, 10627, 2145, 687, 7307, 547, 2132, 547, 741, 512, 29168, 563, 7597, 268, 476, 4489, 277, 281, 634, 31458, 1869, 5713, 538, 519, 512, 29168, 267, 538, 2516, 540, 476, 1220, 2367, 563, 3583, 268, 16329, 1670, 5619, 11752, 512, 29168, 538, 519, 1330, 1399, 731, 540, 918, 529, 574, 592, 16836, 563, 10170, 268, 4634, 5618, 13515, 269, 2436, 538, 519, 2361, 267, 26570, 610, 8498, 2838, 20857, 540, 8396, 512, 29168, 543, 16541, 32440, 563, 7761, 268, 1703, 941, 1100, 2792, 512, 29168, 3056, 547, 519, 29503, 267, 543, 1896, 2367, 1185, 2907, 1044, 7166, 538, 606, 3801, 547, 3914, 621, 563, 10463, 268, 2755, 4730, 538, 930, 512, 29168, 25653, 909, 585, 519, 2679, 3135, 799, 568, 2679, 519, 1007, 4884, 10689, 267, 8935, 4445, 2501, 2066, 930, 7633, 563, 10619, 268, 512, 29168, 5581, 835, 540, 519, 1034, 1271, 2067, 6302, 593, 519, 3047, 779, 4396, 2627, 281, 519, 835, 1063, 1079, 12776, 2214, 8879, 10824, 563, 4037, 268, 2274, 344, 9346, 9859, 519, 8878, 689, 519, 13486, 267, 543, 8118, 513, 530, 2416, 532, 3595, 689, 972, 543, 519, 512, 29168, 950, 519, 10546, 3196, 3357, 538, 2039, 563, 10602, 268, 769, 26361, 519, 512, 29168, 267, 18332, 1744, 2803, 5267, 602, 21025, 599, 2968, 513, 26956, 540, 2112, 1310, 1373, 8929, 1524, 267, 1744, 2803, 267, 18332, 1696, 620, 563, 6507, 268, 27837, 676, 3377, 516, 601, 22089, 689, 519, 5375, 13571, 267, 789, 7620, 3459, 547, 2007, 512, 29168, 538, 519, 5682, 563, 4281, 268, 589, 13303, 2527, 11318, 3135, 3544, 540, 4884, 6585, 519, 30401, 540, 3592, 476, 274, 267, 1822, 7642, 538, 476, 274, 1114, 512, 29168, 563, 8064, 268, 700, 643, 344, 630, 9349, 476, 273, 264, 14753, 540, 519, 968, 290, 1663, 27482, 512, 29168, 892, 1586, 538, 513, 6370, 602, 3576, 1747, 538, 519, 11359, 2540, 7460, 563, 3199, 268, 901, 568, 1141, 646, 21821, 539, 543, 8036, 1354, 11288, 856, 547, 519, 512, 29168, 538, 674, 1633, 619, 1282, 634, 4279, 2782, 563, 10037, 268, 634, 8115, 729, 6870, 676, 513, 8115, 3650, 593, 519, 5087, 4871, 9967, 593, 1079, 2699, 12874, 1206, 543, 8220, 512, 29168, 563, 11025, 268, 670, 2940, 638, 26408, 6828, 901, 1895, 814, 1044, 8185, 561, 2393, 539, 267, 609, 476, 2004, 279, 561, 2393, 619, 685, 512, 29168, 25528, 676, 519, 21007, 30786, 19438, 5741, 563, 10695, 268, 4477, 323, 909, 676, 10703, 4705, 512, 29168, 267, 3668, 540, 1216, 267, 3002, 543, 25874, 267, 789, 4503, 936, 476, 3583, 7166, 676, 546, 23677, 950, 789, 24013, 4319, 563, 10019, 268, 717, 2129, 8593, 883, 519, 512, 29168, 540, 21817, 267, 855, 4728, 582, 729, 6126, 547, 4001, 1864, 519, 15312, 540, 2575, 2394, 1010, 2669, 538, 5147, 476, 4350, 280, 563, 5952, 268, 9232, 7734, 267, 14430, 543, 10558, 725, 5178, 1156, 568, 4867, 2324, 593, 1200, 1101, 1433, 11331, 968, 1103, 519, 512, 29168, 281, 589, 7726, 540, 12876, 1145, 563, 10436, 268, 589, 17659, 2917, 19200, 309, 30574, 476, 1789, 6515, 3595, 593, 12925, 328, 512, 29168, 729, 849, 5734, 282, 513, 5395, 613, 656, 729, 7166, 543, 1079, 824, 2367, 941, 20754, 607, 1267, 563, 9262, 268, 634, 7387, 532, 1185, 11074, 950, 2048, 289, 685, 7577, 6603, 519, 8498, 796, 641, 12723, 543, 13026, 14460, 4436, 512, 29168, 22290, 519, 5939, 563, 6434, 268, 26657, 476, 274, 634, 4436, 4323, 593, 519, 3703, 512, 29168, 4485, 267, 543, 519, 5395, 613, 656, 11683, 6645, 12254, 327, 2100, 789, 1058, 2503, 5230, 9271, 563, 8660, 268, 901, 5251, 568, 6353, 676, 14629, 1212, 7370, 607, 1134, 607, 23898, 543, 512, 29168, 267, 799, 616, 1419, 1360, 14869, 1107, 713, 2306, 6694, 946, 540, 519, 2244, 1360, 2352, 563, 5415, 29941, 281, 476, 272, 1107, 476, 273, 24121, 339, 3402, 656, 1107, 29503, 14688, 1107, 512, 27221, 1107, 512, 1066, 7815, 1107, 512, 1066, 7815, 2006, 1107, 512, 1066, 7815, 5443, 1107, 512, 1066, 7129, 1107, 512, 29168, 1107, 29503, 532, 1107, 7678, 1107, 7678, 2509, 1107, 1699, 7678, 1107, 2487, 7678, 1107, 23892, 7678, 1107, 8789, 7678, 24121, 1607, 3135, 568, 2966, 547, 4001, 596, 2296, 1913, 538, 2796, 609, 2458, 23148, 609, 519, 948, 540, 1383, 5220, 563, 2791, 666, 3362, 27655, 519, 2262, 543, 519, 2495, 540, 968, 339, 29168, 7536, 663, 901, 568, 513, 3728, 1259, 540, 1565, 519, 2495, 540, 968, 339, 29168, 892, 609, 1383, 5220, 563, 29490, 1445, 593, 519, 1565, 593, 5220, 609, 968, 339, 29168, 2108, 454, 2171, 3494, 596, 786, 3362, 1451, 547, 2328, 543, 946, 519, 2262, 968, 339, 29168, 892, 538, 513, 4845, 563, 2791, 666, 2259, 10259, 543, 6165, 540, 519, 2262, 676, 3478, 476, 1015, 1806, 540, 5220, 609, 968, 339, 29168, 9731, 736, 1806, 540, 2241, 5220, 540, 968, 339, 29168, 2108, 454, 2171, 6836, 547, 1265, 543, 15476, 519, 519, 1913, 609, 11822, 29941, 540, 968, 339, 29168, 2108, 454, 15253, 895, 29941, 609, 968, 339, 29168, 7536, 4467, 14658, 29941, 609, 968, 339, 29168, 7536, 15253, 895, 4211, 558, 14658, 29941, 609, 968, 339, 29168, 0, 1103, 11812, 540, 3047, 4303, 2063, 3018, 267, 519, 2160, 540, 16506, 8433, 540, 20885, 5950, 513, 3126, 540, 3872, 1570, 827, 2081, 1053, 666, 1831, 811, 10357, 7888, 543, 4264, 563, 4415, 13464, 7361, 964, 25544, 267, 1082, 1100, 3476, 723, 1569, 547, 2160, 25510, 543, 1418, 923, 610, 9657, 12871, 269, 2160, 9657, 4717, 13541, 10906, 8298, 553, 6441, 785, 560, 668, 1767, 676, 1620, 875, 3653, 1949, 960, 267, 1352, 13922, 1053, 786, 1491, 6940, 883, 741, 1378, 3946, 563, 14881, 1589, 713, 568, 971, 513, 1434, 942, 547, 581, 3206, 827, 1373, 2731, 4199, 995, 2223, 8298, 553, 6441, 785, 560, 668, 1767, 563, 10303, 1082, 1053, 723, 3063, 1863, 942, 267, 789, 666, 1451, 827, 875, 547, 1305, 909, 513, 24600, 3135, 267, 2119, 513, 1007, 4739, 1788, 1210, 2326, 538, 741, 1753, 610, 1129, 909, 585, 1418, 923, 4584, 1575, 689, 519, 2749, 267, 1352, 1767, 563, 22154, 1223, 581, 513, 1390, 942, 585, 1053, 543, 5234, 945, 2661, 7404, 1496, 1729, 1129, 316, 909, 585, 1418, 923, 4584, 1575, 1496, 528, 316, 1265, 519, 6749, 11325, 3135, 14191, 547, 741, 2777, 2223, 8298, 553, 6441, 785, 560, 668, 1767, 269, 968, 6546, 3006, 3217, 513, 2370, 3787, 540, 3063, 4674, 610, 7634, 267, 865, 1946, 711, 798, 621, 1631, 1247, 649, 4312, 3893, 7899, 540, 942, 286, 9578, 267, 621, 781, 513, 1390, 28195, 547, 1205, 3544, 543, 2263, 519, 8378, 513, 2370, 3787, 3034, 1103, 16642, 1032, 476, 1001, 280, 267, 827, 476, 2412, 260, 540, 782, 3653, 593, 13464, 729, 13381, 610, 11003, 539, 267, 2687, 547, 519, 2160, 563, 2690, 17638, 25371, 267, 513, 8772, 4458, 16594, 6441, 4833, 6953, 8960, 7070, 2101, 267, 2713, 1055, 13464, 814, 1500, 621, 2352, 547, 11003, 689, 1200, 19887, 267, 17638, 8065, 269, 4173, 19887, 1281, 711, 2445, 1418, 923, 9657, 267, 865, 25371, 15211, 10199, 476, 1015, 3764, 547, 519, 14191, 11003, 6749, 11325, 3135, 538, 11709, 7581, 557, 5244, 563, 299, 1441, 609, 513, 11003, 762, 9126, 1352, 11751, 2228, 267, 25371, 8952, 1200, 11003, 538, 606, 8900, 20645, 4672, 8645, 19943, 1352, 8637, 538, 1200, 26806, 269, 5272, 1079, 547, 1614, 4374, 267, 1352, 2306, 519, 31939, 609, 1200, 12373, 569, 267, 8876, 519, 2326, 547, 519, 11280, 10822, 563, 4415, 811, 942, 593, 1200, 3946, 267, 25371, 814, 1044, 3168, 883, 1018, 2186, 540, 5370, 1352, 10924, 941, 6691, 762, 269, 2701, 1031, 547, 2759, 909, 1271, 6054, 883, 4130, 4773, 1354, 1352, 13381, 873, 267, 855, 1336, 856, 602, 1419, 1346, 12150, 4773, 540, 1957, 1205, 9575, 538, 9657, 6191, 563, 13349, 3615, 899, 2699, 3752, 334, 11680, 616, 711, 6691, 762, 267, 2901, 269, 25371, 1419, 11974, 519, 5377, 540, 5068, 11149, 547, 1118, 856, 513, 2370, 1297, 1958, 1078, 538, 513, 9657, 6906, 602, 6645, 1200, 1018, 2186, 540, 5068, 519, 1570, 568, 1500, 540, 543, 952, 513, 9744, 666, 1184, 621, 563, 28490, 596, 2811, 18516, 267, 621, 781, 1732, 547, 12235, 621, 856, 982, 547, 2322, 1945, 538, 519, 9657, 543, 25010, 519, 2898, 4452, 2223, 1352, 1767, 269, 968, 1805, 571, 697, 909, 267, 670, 3317, 788, 514, 6019, 666, 1406, 1184, 707, 3109, 5068, 543, 707, 1297, 3670, 3034, 4415, 811, 942, 693, 1753, 543, 7864, 17365, 8255, 267, 25371, 1767, 1352, 814, 849, 1831, 811, 6857, 827, 519, 1426, 543, 2472, 1352, 568, 1210, 543, 9140, 269, 2701, 814, 1044, 17708, 1154, 13342, 543, 3039, 19637, 538, 1200, 10051, 543, 6752, 539, 2025, 512, 6879, 16630, 883, 23040, 9469, 543, 8670, 743, 16251, 563, 300, 584, 2001, 17019, 602, 711, 3025, 814, 519, 2702, 547, 1118, 27290, 2242, 547, 741, 6296, 267, 899, 3001, 547, 513, 4642, 2914, 4292, 6197, 610, 4742, 17154, 267, 855, 1767, 602, 1256, 519, 10545, 9295, 2306, 513, 3017, 563, 17606, 781, 782, 513, 3014, 540, 3257, 1018, 596, 616, 5827, 540, 543, 711, 4743, 16944, 585, 1018, 596, 666, 1405, 798, 2223, 1352, 1767, 269, 0, 268, 23225, 518, 12322, 616, 2348, 3023, 267, 543, 519, 7141, 4332, 2557, 5734, 606, 782, 942, 1970, 538, 476, 1220, 276, 563, 268, 5753, 8391, 5227, 25750, 616, 593, 519, 4473, 267, 909, 689, 476, 10170, 260, 547, 476, 10037, 18336, 268, 22452, 547, 2034, 8518, 8673, 814, 1044, 4389, 267, 855, 568, 1869, 513, 1713, 476, 6795, 18336, 268, 769, 519, 476, 277, 268, 1321, 1032, 2025, 2085, 1895, 267, 519, 6871, 540, 8377, 2468, 9482, 936, 519, 2063, 476, 1839, 1296, 563, 268, 15329, 550, 6760, 568, 1524, 3648, 689, 476, 1220, 274, 267, 1498, 972, 729, 513, 1507, 21782, 538, 476, 1220, 276, 563, 268, 6168, 476, 6434, 260, 540, 12322, 9096, 1164, 1153, 610, 7118, 513, 26885, 563, 268, 634, 1297, 540, 1453, 2713, 538, 5321, 2808, 834, 25988, 538, 31261, 257, 12628, 267, 543, 519, 1297, 540, 1453, 2713, 538, 5321, 1141, 693, 2547, 835, 2385, 729, 6964, 9782, 563, 268, 20640, 344, 32732, 2600, 540, 1762, 4079, 6502, 476, 1240, 547, 476, 2190, 1185, 6192, 1164, 1153, 609, 513, 26885, 610, 606, 4244, 19609, 971, 607, 513, 4937, 4065, 4886, 15149, 538, 476, 1220, 276, 269, 901, 6719, 513, 476, 272, 6871, 1448, 2333, 689, 476, 1220, 275, 543, 513, 476, 275, 6871, 1448, 2333, 2094, 476, 2735, 271, 269, 0, 18183, 12787, 538, 5101, 7033, 528, 476, 1960, 280, 268, 1220, 271, 454, 1103, 476, 3192, 276, 267, 519, 14082, 17355, 18050, 741, 3162, 5101, 7489, 12733, 454, 1993, 5101, 7033, 528, 269, 589, 6406, 2782, 13264, 856, 1063, 15180, 1249, 687, 563, 763, 605, 8862, 3480, 2229, 540, 30240, 12868, 21787, 454, 320, 19797, 1491, 936, 269, 2060, 1977, 13170, 267, 24414, 10136, 13026, 5101, 7033, 528, 799, 729, 1287, 24509, 539, 563, 3528, 476, 1960, 280, 267, 519, 30468, 540, 519, 24414, 13567, 9415, 2199, 7569, 585, 7115, 543, 27337, 1881, 3486, 24319, 563, 17220, 2604, 267, 1519, 689, 519, 2136, 2276, 267, 7142, 454, 534, 24414, 15639, 269, 1677, 2226, 1931, 543, 5965, 585, 7115, 519, 2136, 8315, 2366, 538, 513, 3818, 5991, 1049, 4708, 268, 15209, 3196, 799, 3769, 3703, 10986, 563, 292, 770, 7033, 528, 2968, 606, 4830, 19988, 1533, 538, 476, 1220, 273, 269, 0, 288, 12872, 701, 328, 4975, 14643, 528, 593, 11016, 6829, 6161, 936, 519, 1297, 540, 28896, 693, 519, 12872, 701, 328, 25089, 1763, 26443, 4741, 267, 799, 568, 9277, 547, 1683, 6595, 7829, 267, 18915, 1416, 267, 2126, 543, 12062, 585, 14460, 3552, 2831, 563, 6097, 547, 12872, 701, 328, 4975, 7027, 528, 10557, 932, 532, 3917, 10224, 630, 23521, 492, 418, 483 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4502, 513, 2698, 540, 8096, 275, 4391, 271, 267, 6011, 1082, 540, 519, 12014, 616, 8096, 1015, 12014, 543, 875, 1082, 616, 8096, 736, 12014, 269, 2496, 311, 786, 2099, 519, 1297, 540, 8096, 1015, 12014, 269, 1109, 962, 786, 2099, 519, 1297, 540, 8096, 736, 12014, 780, 3721, 476, 272, 281, 1109, 5590, 909, 513, 1062, 540, 4834, 269, 1109, 1548, 798, 649, 917, 689, 519, 1344, 2016, 286, 1109, 4270, 649, 917, 602, 8614, 2335, 773, 814, 8096, 275, 4391, 271, 2698, 1109, 18478, 909, 540, 1109, 320, 1978, 2179, 540, 8096, 1015, 12014, 630, 311, 264, 30548, 513, 1978, 2179, 540, 8096, 736, 12014, 630, 312, 1040, 1109, 901, 568, 6719, 607, 281, 476, 1015, 311, 1341, 476, 736, 312, 815, 476, 275, 4391, 271, 269, 1109, 1284, 849, 917, 602, 8614, 2335, 773, 814, 513, 2698, 540, 476, 24129, 4890, 12014, 269, 1109, 2368, 540, 873, 616, 8096, 1015, 12014, 543, 930, 616, 8096, 736, 12014, 269, 1109, 901, 568, 6719, 607, 281, 2473, 1341, 962, 815, 476, 24129, 780, 3721, 476, 273, 281, 16534, 585, 835, 540, 519, 4632, 1101, 269, 1109, 1677, 798, 713, 267, 596, 786, 991, 547, 11690, 835, 540, 519, 4834, 883, 519, 824, 3830, 269, 1109, 2913, 781, 4194, 585, 1109, 311, 1101, 269, 1109, 634, 3830, 2473, 1341, 962, 815, 476, 24129, 666, 581, 16866, 547, 962, 815, 476, 24129, 910, 2473, 269, 1109, 3767, 267, 713, 666, 581, 726, 28289, 883, 519, 1360, 1101, 3830, 1384, 1015, 311, 1341, 476, 736, 263, 24129, 910, 2473, 264, 815, 476, 275, 4391, 271, 454, 1015, 311, 1341, 476, 276, 5379, 271, 910, 476, 736, 311, 815, 476, 275, 4391, 271, 454, 268, 1015, 311, 1341, 476, 276, 5379, 271, 815, 476, 275, 4391, 271, 454, 268, 1015, 311, 815, 910, 11820, 271, 454, 311, 815, 476, 11820, 6902, 1924, 972, 616, 476, 11820, 8096, 1015, 12014, 780, 3086, 649, 666, 11690, 519, 3070, 585, 2473, 883, 1022, 540, 519, 4834, 547, 1265, 962, 269, 1109, 2913, 781, 11690, 621, 883, 519, 1034, 2241, 3830, 281, 3396, 1741, 2473, 1341, 962, 815, 476, 24129, 563, 11820, 1341, 962, 815, 476, 24129, 454, 312, 815, 476, 13932, 6902, 865, 972, 616, 476, 13932, 8096, 736, 12014, 780, 2414, 2638, 707, 3070, 585, 6111, 267, 11690, 707, 2164, 585, 1312, 2473, 543, 962, 883, 519, 824, 3830, 912, 1015, 311, 1341, 476, 736, 312, 815, 476, 275, 4391, 271, 454, 1015, 263, 11820, 264, 1341, 476, 736, 263, 13932, 264, 815, 476, 275, 4391, 271, 454, 11820, 271, 1341, 476, 29044, 271, 815, 476, 275, 4391, 271, 454, 275, 4391, 271, 815, 476, 275, 4391, 271, 269, 1109, 901, 568, 3020, 267, 3976, 707, 2473, 543, 962, 2164, 616, 2953, 780, 4131, 1535, 815, 1297, 540, 476, 1015, 13362, 12014, 543, 586, 815, 519, 1297, 540, 476, 736, 13362, 12014, 780, 2171, 723, 476, 273, 4834, 269, 2473, 20742, 284, 24129, 585, 519, 1297, 540, 12014, 543, 454, 1015, 343, 266, 736, 344, 815, 476, 275, 4391, 271, 585, 519, 1871, 540, 519, 12014, 269, 14572, 873, 8195, 649, 12990, 585, 1535, 815, 24129, 3917, 538, 519, 476, 273, 526, 3830, 780, 1015, 263, 24129, 3917, 11924, 736, 344, 284, 275, 4391, 271, 454, 13678, 680, 4328, 454, 24129, 271, 268, 1015, 344, 266, 736, 344, 284, 275, 4391, 271, 454, 1260, 6883, 899, 2474, 593, 1142, 2427, 692, 1015, 344, 284, 275, 4391, 271, 268, 24129, 271, 454, 528, 586, 284, 13932, 563, 303, 1663, 21794, 476, 13932, 883, 519, 476, 272, 560, 3830, 692, 326, 1161, 1535, 284, 476, 24129, 268, 13932, 284, 11820, 563, 4692, 5595, 2638, 2626, 676, 726, 19982, 2338, 1394, 883, 476, 273, 526, 3830, 543, 13182, 692, 1015, 263, 11820, 11924, 736, 263, 13932, 6661, 275, 4391, 271, 865, 621, 11974, 256, 0, 290, 1328, 692, 258, 9046, 476, 29344, 277, 269, 4855, 856, 23642, 6706, 11664, 692, 11405, 476, 29579, 23669, 277, 692, 8138, 4784, 593, 476, 3066, 4119, 476, 1708, 271, 454, 1607, 3070, 568, 19526, 269, 1677, 2070, 713, 3070, 267, 596, 991, 547, 1683, 513, 3070, 540, 519, 1482, 2450, 610, 4130, 780, 2162, 4530, 2672, 924, 692, 14818, 21073, 8943, 18452, 543, 19243, 454, 272, 5231, 674, 841, 454, 333, 284, 273, 282, 678, 284, 271, 269, 1839, 282, 586, 6831, 8091, 815, 476, 272, 269, 4391, 272, 280, 282, 7682, 263, 11274, 6357, 328, 318, 1723, 742, 3799, 267, 337, 9984, 344, 6831, 8091, 264, 283, 271, 269, 1822, 272, 2020, 13286, 1210, 562, 577, 5366, 330, 630, 1467, 476, 3066, 264, 634, 2034, 3403, 814, 547, 581, 513, 1875, 24308, 8870, 269, 18438, 538, 1979, 318, 1723, 742, 630, 1467, 476, 273, 264, 586, 815, 562, 577, 5366, 330, 3799, 267, 337, 5148, 18438, 538, 4530, 272, 630, 1467, 476, 275, 264, 7682, 263, 11274, 6357, 328, 318, 1723, 742, 3799, 267, 337, 9984, 344, 6831, 8091, 264, 283, 271, 269, 1822, 272, 2020, 273, 5231, 674, 841, 454, 333, 284, 273, 282, 678, 284, 273, 282, 586, 6831, 8091, 815, 476, 272, 282, 7682, 263, 11274, 6357, 328, 318, 1723, 742, 3799, 267, 337, 9984, 344, 6831, 8091, 264, 283, 271, 269, 1822, 272, 2020, 20479, 4661, 834, 322, 257, 630, 663, 6148, 1866, 264, 711, 8655, 1282, 1289, 547, 834, 6798, 318, 1723, 742, 2668, 18438, 538, 4530, 273, 630, 1467, 476, 275, 264, 7682, 263, 11274, 6357, 328, 318, 1723, 742, 3799, 267, 337, 9984, 344, 6831, 8091, 264, 283, 271, 269, 1822, 272, 2020, 274, 5231, 674, 841, 454, 333, 284, 276, 282, 678, 284, 274, 269, 276, 282, 586, 6831, 8091, 815, 476, 278, 269, 31318, 278, 282, 7682, 263, 11274, 6357, 328, 318, 1723, 742, 3799, 267, 337, 9984, 344, 6831, 8091, 264, 283, 271, 269, 1822, 272, 2020, 13286, 1210, 562, 577, 5366, 330, 630, 1467, 476, 3066, 264, 634, 2034, 3403, 814, 547, 581, 513, 1875, 24308, 8870, 269, 18438, 538, 1979, 318, 1723, 742, 630, 1467, 476, 273, 264, 586, 815, 562, 577, 5366, 330, 3799, 267, 337, 5148, 18438, 538, 4530, 274, 630, 1467, 476, 275, 264, 7682, 263, 11274, 6357, 328, 318, 1723, 742, 3799, 267, 337, 9984, 344, 6831, 8091, 264, 283, 271, 269, 1822, 272, 2020, 275, 5231, 674, 841, 454, 333, 284, 276, 282, 678, 284, 272, 269, 272, 282, 586, 6831, 8091, 815, 476, 276, 269, 276, 4366, 274, 282, 7682, 263, 11274, 6357, 328, 318, 1723, 742, 3799, 267, 337, 9984, 344, 6831, 8091, 264, 283, 271, 269, 1822, 272, 2020, 13286, 1210, 562, 577, 5366, 330, 630, 1467, 476, 3066, 264, 634, 2034, 3403, 814, 547, 581, 513, 1875, 24308, 8870, 269, 18438, 538, 1979, 318, 1723, 742, 630, 1467, 476, 273, 264, 586, 815, 562, 577, 5366, 330, 3799, 267, 337, 5148, 18438, 538, 4530, 275, 630, 1467, 476, 275, 264, 7682, 263, 11274, 6357, 328, 318, 1723, 742, 3799, 267, 337, 9984, 344, 6831, 8091, 264, 283, 271, 269, 1822, 272, 2020, 2162, 7991, 7066, 5501, 15391, 692, 8340, 519, 16782, 538, 30731, 6239, 543, 3605, 875, 519, 2146, 666, 948, 596, 2439, 9359, 15391, 532, 256, 0, 31955, 8212, 692, 258, 476, 278, 269, 277, 8256, 3569, 540, 6052, 692, 31955, 8212, 278, 269, 277, 11094, 540, 6052, 692, 1012, 4521, 540, 11094, 540, 6052, 692, 21328, 267, 607, 649, 723, 7074, 267, 568, 24721, 267, 1818, 621, 835, 540, 519, 1034, 1271, 2168, 9424, 538, 2470, 269, 634, 1876, 540, 5726, 540, 1648, 666, 581, 7150, 607, 5205, 1384, 13707, 1648, 568, 3586, 538, 1022, 1184, 269, 898, 949, 1689, 538, 1106, 610, 581, 11843, 689, 835, 1062, 547, 1776, 267, 855, 519, 2698, 3788, 519, 1482, 780, 2171, 723, 8268, 930, 3029, 540, 1648, 543, 930, 2081, 621, 666, 581, 11843, 689, 835, 1062, 547, 1776, 269, 901, 3408, 3366, 547, 519, 4214, 540, 1079, 2101, 2010, 540, 1648, 1765, 1889, 22817, 1648, 1269, 17395, 266, 14154, 17395, 266, 14154, 2450, 476, 1321, 346, 2451, 9497, 17395, 257, 266, 257, 14154, 257, 1318, 3738, 348, 2715, 4151, 543, 1648, 11843, 3842, 960, 2944, 676, 1875, 4621, 969, 894, 4229, 18159, 310, 333, 322, 7565, 310, 333, 322, 264, 2450, 476, 1321, 346, 3230, 310, 678, 8138, 2715, 2450, 476, 279, 346, 257, 333, 322, 257, 348, 476, 6525, 7684, 2715, 23201, 1809, 1648, 3217, 1082, 824, 3029, 267, 8915, 532, 3294, 538, 1082, 1114, 2081, 267, 543, 649, 991, 547, 581, 2111, 547, 4308, 609, 782, 540, 891, 1354, 649, 666, 2328, 606, 3830, 585, 519, 1657, 2489, 3948, 540, 519, 5726, 540, 1648, 780, 1012, 4033, 22553, 540, 6052, 982, 20996, 6052, 692, 4263, 713, 1448, 267, 649, 4308, 609, 782, 824, 3029, 540, 1648, 676, 561, 18804, 873, 883, 513, 2582, 1895, 1572, 824, 1648, 18121, 302, 292, 302, 292, 2450, 476, 1321, 346, 257, 302, 292, 257, 348, 2715, 4151, 1040, 3973, 649, 666, 1533, 519, 5726, 540, 1648, 538, 3830, 1106, 607, 692, 259, 17395, 328, 266, 14154, 328, 266, 310, 333, 322, 266, 302, 292, 328, 284, 17395, 325, 266, 14154, 325, 266, 302, 292, 325, 14389, 292, 328, 266, 14154, 328, 266, 310, 333, 322, 266, 302, 292, 328, 284, 17395, 325, 266, 14154, 325, 266, 302, 292, 325, 269, 2450, 476, 1321, 346, 257, 17395, 257, 678, 8138, 2715, 2450, 476, 279, 346, 328, 348, 7684, 1341, 257, 14154, 257, 678, 8138, 2715, 2450, 476, 279, 346, 328, 348, 7684, 1341, 310, 678, 8138, 2715, 2450, 476, 279, 346, 257, 333, 322, 257, 348, 7684, 1341, 257, 302, 292, 257, 678, 8138, 2715, 2450, 476, 279, 346, 328, 348, 7684, 815, 257, 17395, 257, 678, 8138, 2715, 2450, 476, 279, 346, 325, 348, 7684, 1341, 257, 14154, 257, 678, 8138, 2715, 2450, 476, 279, 346, 325, 348, 7684, 1341, 257, 302, 292, 257, 678, 8138, 2715, 2450, 476, 279, 346, 325, 348, 7684, 7684, 2715, 21456, 278, 269, 4792, 692, 5472, 2010, 540, 1648, 543, 960, 666, 581, 3769, 538, 713, 1360, 2489, 3948, 540, 5726, 540, 1648, 269, 20943, 2045, 1648, 568, 1269, 17395, 17395, 2450, 476, 1321, 346, 257, 17395, 257, 348, 2715, 20954, 960, 2944, 676, 513, 15061, 3196, 568, 6719, 676, 1269, 303, 7968, 292, 2450, 476, 1321, 346, 257, 14154, 257, 348, 2715, 20954, 960, 2944, 676, 1875, 4621, 969, 894, 4229, 568, 1269, 310, 333, 322, 310, 333, 322, 2450, 476, 1321, 346, 310, 678, 8138, 2715, 2450, 476, 279, 346, 257, 333, 322, 257, 348, 7684, 7684, 2715, 20954, 543, 782, 824, 19367, 616, 3769, 607, 1269, 302, 292, 302, 292, 2450, 476, 1321, 346, 257, 302, 292, 257, 348, 2715, 23201, 901, 3830, 10039, 547, 782, 3105, 1806, 282, 538, 1346, 3871, 1269, 302, 292, 302, 292, 2450, 476, 1321, 346, 257, 302, 292, 257, 348, 2715, 4151, 729, 3586, 267, 543, 865, 621, 10208, 539, 856, 543, 729, 711, 2047, 2808, 780, 1012, 10435, 22627, 281, 2422, 6888, 540, 519, 6052, 11094, 20232, 692, 763, 1249, 602, 1648, 568, 24721, 543, 814, 1082, 3029, 2306, 621, 1360, 1271, 269, 1411, 786, 1265, 602, 1648, 568, 5941, 538, 1082, 8658, 267, 1317, 621, 568, 3238, 538, 782, 3157, 269, 898, 786, 849, 1831, 7805, 602, 1082, 3871, 616, 1655, 6956, 538, 2474, 540, 1648, 543, 602, 2042, 616, 1419, 1034, 3362, 12497, 1242, 543, 12193, 676, 6236, 1648, 780, 2691, 1281, 1269, 302, 292, 302, 292, 2450, 476, 1321, 346, 257, 302, 292, 257, 348, 2715, 4151, 1404, 513, 1909, 286, 2290, 1383, 4386, 950, 513, 1268, 22655, 269, 5253, 568, 12444, 1242, 609, 519, 5305, 540, 3327, 8166, 267, 1216, 267, 543, 1648, 269, 2368, 540, 713, 3114, 1648, 568, 10736, 547, 15452, 1648, 950, 519, 1268, 7575, 267, 547, 1761, 1648, 950, 519, 1268, 2242, 15820, 267, 543, 547, 8143, 1648, 630, 534, 1278, 1106, 540, 1269, 302, 292, 302, 292, 2450, 476, 1321, 346, 257, 302, 292, 257, 348, 2715, 4151, 6393, 1012, 2368, 540, 519, 3509, 22553, 540, 6052, 692, 1432, 616, 930, 824, 3029, 540, 1648, 286, 1411, 666, 4440, 2012, 513, 1297, 540, 3029, 540, 1648, 711, 2943, 5941, 269, 3509, 540, 891, 786, 581, 4988, 538, 2663, 11271, 267, 855, 1577, 721, 1469, 513, 1906, 1934, 269, 15379, 1648, 568, 513, 1455, 1106, 602, 568, 10736, 547, 1082, 824, 3029, 543, 1281, 960 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6343, 666, 1775, 948, 596, 286, 0, 289, 327, 698, 344, 3736, 320, 267, 13225, 5953, 4445, 16230, 1485, 320, 267, 13225, 5953, 4445, 3736, 320, 267, 13225, 698, 5984, 268, 644, 11535, 281, 476, 280, 8847, 454, 289, 327, 698, 344, 3736, 320, 1797, 1945, 538, 18420, 267, 16130, 267, 3057, 27821, 267, 19446, 269, 1403, 596, 1616, 547, 917, 519, 3169, 2495, 267, 1686, 267, 29721, 610, 2296, 8144, 540, 713, 2165, 1287, 2638, 856, 519, 11673, 593, 713, 2985, 269, 5410, 707, 6085, 610, 4704, 547, 513, 1433, 952, 596, 1616, 547, 3565, 547, 713, 5758, 2376, 563, 21446, 894, 29745, 540, 713, 2262, 1331, 13225, 698, 344, 3736, 563, 303, 584, 3570, 543, 898, 8811, 14505, 630, 788, 545, 1686, 264, 13126, 281, 21287, 3820, 281, 32251, 8830, 3570, 910, 2296, 22564, 454, 289, 327, 5953, 4445, 3736, 320, 630, 2633, 511, 14098, 501, 11695, 363, 26498, 2633, 355, 2633, 363, 264, 4016, 547, 519, 968, 23438, 540, 19539, 892, 630, 328, 4318, 1421, 835, 4171, 19539, 568, 538, 922, 10841, 754, 3599, 1070, 2687, 547, 519, 15662, 504, 643, 777, 584, 5953, 22170, 320, 476, 273, 269, 274, 269, 1556, 23102, 6097, 569, 267, 607, 13924, 822, 520, 630, 295, 574, 5953, 331, 11535, 264, 552, 592, 690, 2213, 15662, 504, 10216, 281, 968, 314, 1862, 316, 744, 1390, 18459, 267, 707, 10143, 5026, 616, 538, 1260, 11772, 1043, 269, 1358, 1655, 578, 8788, 593, 23920, 569, 2367, 269, 2659, 2470, 568, 7449, 969, 1304, 547, 519, 25058, 525, 543, 596, 616, 896, 741, 1852, 269, 1411, 616, 519, 1685, 518, 540, 782, 2238, 269, 744, 18459, 267, 596, 723, 2097, 1934, 1317, 1250, 19539, 568, 538, 922, 10841, 754, 3599, 1496, 328, 4318, 1421, 536, 327, 5953, 4445, 3736, 320, 4940, 1411, 723, 1044, 4330, 607, 513, 1655, 1077, 540, 7957, 2293, 547, 519, 1253, 5962, 269, 1411, 723, 2322, 803, 896, 707, 19121, 720, 543, 4027, 269, 30385, 316, 9731, 763, 8830, 3570, 630, 2633, 359, 27758, 18892, 14098, 352, 267, 1625, 5953, 22170, 553, 264, 4016, 547, 16130, 3332, 8497, 3504, 3127, 779, 5318, 2686, 1686, 267, 1519, 3140, 17691, 267, 3909, 18428, 267, 1585, 6575, 543, 9443, 269, 634, 29933, 30652, 777, 584, 11446, 2698, 936, 476, 6110, 267, 1822, 695, 331, 758, 553, 630, 20470, 7008, 1206, 264, 543, 4266, 547, 693, 2547, 1896, 5553, 14514, 563, 299, 16722, 540, 3127, 543, 13383, 454, 11321, 27821, 30165, 8675, 13126, 281, 30250, 6347, 281, 634, 631, 3421, 10290, 3057, 27821, 543, 2296, 9218, 454, 321, 327, 5953, 4445, 16230, 1485, 320, 630, 2633, 511, 14098, 501, 11695, 363, 26498, 2633, 355, 2633, 363, 1040, 1765, 332, 630, 306, 264, 667, 11921, 540, 1434, 19539, 282, 8375, 13884, 269, 1401, 269, 536, 327, 5953, 4445, 16230, 1485, 25207, 30195, 536, 327, 1690, 520, 13682, 1119, 5953, 533, 4599, 327, 644, 25207, 12534, 5953, 344, 5953, 13466, 269, 13126, 281, 30250, 6347, 281, 634, 589, 787, 629, 327, 639, 534, 1153, 8675, 267, 3057, 27821, 30165, 454, 321, 327, 5953, 4445, 16230, 1485, 320, 630, 2633, 511, 14098, 501, 11695, 363, 26498, 2633, 355, 2633, 363, 1040, 1765, 332, 667, 11921, 540, 1434, 19539, 282, 8375, 13884, 563, 11321, 27821, 568, 606, 21475, 26049, 1893, 2348, 936, 476, 3583, 2929, 5065, 10529, 1004, 538, 630, 335, 1042, 11395, 569, 264, 26527, 30773, 3127, 269, 3057, 27821, 267, 899, 1082, 824, 21475, 5025, 32569, 4654, 267, 7960, 689, 2038, 3029, 540, 16217, 330, 761, 267, 799, 3294, 568, 513, 15410, 540, 16130, 267, 835, 540, 519, 1034, 3504, 4654, 540, 519, 1158, 563, 306, 14234, 8675, 13126, 281, 30250, 6347, 281, 634, 4052, 16130, 30165, 8675, 454, 272, 264, 21554, 540, 1434, 19539, 267, 18822, 12136, 563, 32056, 22133, 3029, 281, 536, 327, 5953, 4445, 3736, 320, 30910, 630, 2633, 511, 14098, 501, 11695, 363, 26498, 2633, 355, 2633, 363, 2633, 481, 1916, 289, 327, 5953, 4445, 3736, 320, 568, 513, 16130, 7623, 9967, 540, 519, 2474, 536, 327, 5953, 4445, 320, 543, 579, 1485, 320, 630, 2633, 487, 2633, 355, 2633, 363, 1040, 13126, 281, 595, 860, 928, 7913, 16130, 667, 17152, 281, 595, 1952, 11839, 16130, 30165, 9218, 454, 289, 327, 5953, 4445, 3736, 320, 630, 2633, 511, 14098, 501, 11695, 363, 26498, 2633, 355, 2633, 363, 1040, 1765, 314, 5733, 1529, 710, 316, 1496, 680, 1116, 316, 9939, 267, 10304, 2529, 1830, 281, 595, 860, 928, 7913, 16130, 667, 17152, 281, 3933, 1512, 8862, 650, 3554, 338, 16130, 30165, 9218, 454, 289, 327, 5953, 4445, 3736, 320, 630, 2633, 511, 14098, 501, 11695, 363, 26498, 2633, 355, 2633, 363, 2567, 1765, 314, 5228, 536, 327, 5953, 4445, 320, 3436, 536, 327, 5953, 8615, 316, 544, 269, 4473, 540, 19539, 267, 8375, 13884, 267, 1496, 288, 3405, 340, 268, 23410, 31540, 2639, 314, 306, 14234, 547, 4436, 2639, 306, 14234, 267, 849, 25250, 29334, 23517, 28637, 11695, 499, 5936, 481, 23371, 28440, 11165, 630, 21542, 30195, 12921, 9719, 505, 339, 600, 1070, 568, 606, 3504, 1893, 540, 3127, 4122, 2938, 607, 519, 20516, 540, 519, 21475, 26049, 1893, 1920, 630, 16838, 2296, 32656, 19171, 569, 24027, 609, 16217, 330, 761, 543, 6022, 328, 267, 16130, 568, 811, 29882, 538, 1312, 8239, 543, 2474, 543, 814, 519, 1034, 3573, 4015, 540, 3332, 538, 519, 1158, 267, 7494, 20546, 532, 922, 11078, 2000, 16722, 5259, 543, 5824, 563, 295, 785, 328, 8675, 13126, 281, 30250, 6347, 281, 589, 4052, 19446, 30165, 8675, 454, 289, 327, 5953, 4445, 3736, 320, 630, 2633, 511, 14098, 501, 11695, 363, 26498, 2633, 355, 2633, 363, 264, 1496, 9827, 25250, 536, 327, 698, 344, 3736, 13912, 1765, 263, 333, 332, 264, 4417, 540, 1434, 9939, 267, 30134, 618, 540, 513, 2196, 540, 1434, 9939, 2676, 298, 2335, 3385, 30165, 8675, 13126, 281, 1325, 541, 281, 918, 2335, 3385, 30165, 24402, 454, 289, 327, 5953, 4445, 16230, 1485, 320, 630, 25223, 511, 25223, 378, 25223, 501, 412, 367, 491, 25223, 363, 412, 367, 489, 25223, 355, 25223, 363, 2567, 1765, 314, 29825, 316, 815, 11774, 366, 511, 25223, 378, 25223, 501, 412, 367, 491, 25223, 363, 910, 1496, 321, 327, 698, 5984, 910, 316, 476, 273, 267, 476, 274, 1299, 476, 275, 563, 298, 2335, 3385, 568, 513, 667, 9545, 22941, 1893, 630, 553, 10353, 547, 519, 21475, 26049, 1893, 1920, 264, 5631, 9275, 538, 519, 27623, 3148, 540, 3127, 563, 8450, 849, 630, 3725, 10589, 8847, 994, 292, 2738, 609, 281, 28397, 321, 327, 698, 344, 3736, 320, 563, 5591, 3406, 2164, 585, 13225, 698, 344, 3736, 320, 267, 13225, 5953, 4445, 16230, 1485, 320, 267, 13225, 5953, 4445, 3736, 320, 267, 13225, 698, 5984, 268, 644, 11535, 267, 13225, 5953, 4445, 320, 268, 644, 11535, 282, 630, 680, 584, 1023, 1331, 281, 13225, 698, 344, 3736, 553, 267, 13225, 5953, 4445, 16230, 1485, 553, 267, 13225, 5953, 4445, 3736, 553, 267, 579, 1485, 553, 264, 538, 1022, 1433, 610, 1650, 269, 0, 9596, 875, 547, 1831, 21273, 538, 2979, 269, 4658, 723, 8789, 2634, 8280, 7371, 12742, 1175, 607, 789, 798, 2901, 2451, 268, 610, 1318, 26370, 269, 590, 3405, 614, 1353, 568, 1883, 269, 769, 2979, 267, 596, 949, 723, 547, 6108, 811, 942, 4974, 543, 3257, 6780, 982, 538, 824, 5396, 1317, 2979, 568, 513, 4121, 5578, 269, 590, 3405, 614, 2259, 568, 1883, 269, 6875, 519, 942, 547, 1589, 21273, 563, 1692, 2052, 594, 13724, 3733, 13174, 1656, 3163, 888, 2521, 547, 2259, 2042, 602, 616, 711, 2047, 1644, 547, 519, 1966, 269, 8347, 532, 547, 4194, 2042, 2047, 666, 1291, 547, 17140, 543, 10539, 563, 20797, 2306, 3501, 267, 1256, 609, 2979, 269, 1411, 666, 4194, 3063, 2042, 676, 8026, 563, 17504, 5455, 10819, 666, 581, 4957, 7498, 9596, 875, 547, 4019, 2979, 547, 1483, 3734, 3871, 563, 15697, 1353, 568, 606, 5140, 1259, 547, 1353, 563, 9989, 4569, 1656, 3163, 5269, 1411, 590, 3405, 614, 888, 1103, 6901, 267, 789, 1336, 602, 1053, 4974, 6128, 941, 1175, 607, 2693, 547, 7947, 519, 674, 543, 519, 476, 273, 6486, 607, 1346, 4974, 1686, 269, 769, 513, 2487, 1353, 676, 5900, 16466, 267, 621, 729, 1336, 602, 4974, 2362, 6128, 630, 520, 519, 4359, 6281, 543, 2852, 2157, 264, 4679, 9266, 2702, 563, 1692, 2052, 594, 13724, 3733, 11106, 769, 13174, 888, 2791, 666, 1449, 707, 1126, 779, 9266, 6310, 4987, 1377, 676, 1210, 10076, 16810, 563, 31416, 13410, 616, 513, 5172, 1851, 1034, 1004, 269, 11106, 2055, 267, 678, 26680, 267, 543, 13410, 616, 513, 5172, 1851, 1034, 1004, 563, 25440, 4604, 3756, 269, 1411, 666, 3094, 26065, 563, 763, 1655, 1259, 547, 4194, 513, 1966, 568, 547, 4194, 621, 563, 1805, 1559, 1058, 581, 2854, 563, 1692, 2052, 594, 2142, 590, 3405, 614, 769, 4569, 1656, 3163, 888, 2791, 666, 1451, 21273, 952, 596, 616, 2451, 268, 610, 1318, 26370, 269, 3807, 607, 1004, 723, 8789, 2634, 8280, 7371, 12742, 267, 865, 798, 789, 563, 2791, 949, 991, 547, 6108, 811, 942, 593, 6780, 543, 4974, 982, 596, 798, 538, 824, 5396, 1317, 2979, 568, 513, 4121, 5578, 563, 306, 3405, 614, 2259, 568, 1883, 563, 12648, 519, 942, 547, 1589, 21273, 563, 1692, 2052, 594, 5192, 14568, 2311, 4569, 1656, 3163, 888, 763, 1101, 9133, 568, 547, 2736, 1524, 1950, 2042, 883, 12863, 3283, 563, 763, 2034, 9133, 568, 547, 946, 2241, 2338, 563, 18800, 519, 5817, 2035, 538, 9133, 1948, 274, 563, 763, 8772, 9133, 568, 547, 946, 606, 2228, 1907, 547, 1205, 1900, 8386, 9912, 5528, 563, 763, 11359, 9133, 568, 547, 711, 19060, 707, 960, 563, 2005, 568, 2009, 547, 1451, 2979, 17598, 569, 563, 1692, 2052, 594, 13724, 3733, 13174, 1656, 8212, 888, 9596, 519, 9238, 563, 9596, 875, 547, 946, 2596, 4834, 547, 4194, 2042, 563, 13014, 2386, 596, 1832, 1507, 3877, 538, 2247, 7498, 18719, 557, 707, 2979, 1983, 676, 2324, 593, 873, 563, 12648, 519, 942, 547, 14458, 519, 3510, 563, 19352, 902, 616, 513, 1390, 1259, 547, 798, 713, 563, 13014, 2386, 596, 5595, 27902, 707, 4267, 8164, 596, 616, 4280, 563, 20055, 568, 2139, 585, 1169, 6323, 2707, 563, 2710, 1411, 5620, 1677, 2142, 6153, 2311, 4569, 1656, 3163, 888, 292, 6185, 269, 8055, 568, 606, 900, 5799, 29489, 269, 1717, 267, 14355, 814, 930, 1434, 3377, 585, 1346, 945, 616, 530, 776, 540, 2362, 2979, 281, 1411, 1810, 1406, 723, 547, 581, 513, 1390, 22301, 547, 798, 1390, 2257, 269, 769, 2257, 267, 20932, 568, 2484, 811, 1271, 982, 519, 2702, 547, 1106, 2035, 267, 799, 568, 519, 1184, 676, 799, 519, 11001, 8580, 999, 2592, 543, 3157, 563, 1692, 3657, 4569, 1656, 3163, 13242, 8625, 888, 31367, 12596, 267, 2208, 12753, 267, 543, 4719, 14290, 782, 2154, 15821, 3666, 269, 634, 2462, 1966, 538, 2257, 568, 875, 547, 5659, 2470, 267, 3605, 922, 11580, 267, 543, 2491, 922, 6228, 1210, 2979, 269, 634, 6988, 540, 2257, 568, 7683, 2810, 563, 3963, 1772, 4569, 1656, 3163, 2859, 12830, 888, 1103, 2979, 543, 2257, 2069, 267, 649, 1265, 4267, 676, 7311, 2979, 543, 2257, 3741, 269, 769, 6128, 267, 9259, 543, 3347, 616, 24018, 538, 938, 28507, 1604, 267, 1247, 2035, 616, 13994, 4327, 689, 519, 16022, 547, 519, 21372, 269, 1284, 616, 2016, 513, 1390, 4308, 540, 3007, 676, 2257, 950, 621, 2501, 547, 519, 2298, 543, 5872, 540, 519, 1919, 1472, 721, 563, 9989, 14572, 4569, 21561, 11106, 888, 763, 957, 540, 7900, 6310, 9273, 10607, 7744, 267, 1966, 9010, 1983, 267, 2623, 267, 543, 1582, 30625, 267, 2687, 547, 1849, 3599, 2349, 1515, 267, 513, 7548, 540, 6530, 693, 12924, 308, 269, 901, 568, 835, 2601, 1946, 1004, 945, 1451, 811, 6128, 7118, 811, 563, 4692, 4569, 10341, 2142, 20865, 888, 13043, 3085, 1406, 1118, 3501, 267, 855, 2259, 1281, 269, 898, 568, 2009, 547, 2087, 707, 1966, 9010, 1983, 676, 2324, 593, 6061, 3606, 2042, 952, 596, 616, 2348, 7411, 609, 513, 1880, 1826, 540, 1966, 269, 898, 568, 2009, 547, 1376, 856, 609, 2241, 2042, 540, 519, 1482, 1826, 267, 543, 1287, 3356, 909, 519, 7411, 4336, 607, 596, 1831, 811, 6899, 609, 519, 3435, 607, 596, 3356, 563, 6701, 1411, 10164, 550, 1403, 1411, 3657, 6153, 2311, 4569, 888, 12385, 24136, 1606, 822, 11803, 1004, 4043, 547, 581, 10995, 950, 621, 2501, 547, 9266, 4987, 267, 865, 930, 3494, 602, 21842, 568, 17047, 609 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 543, 7071, 585, 1977, 5072, 2575, 267, 1175, 899, 667, 2643, 534, 780, 7628, 741, 31667, 1023, 267, 16092, 3323, 6220, 2609, 540, 12563, 267, 21462, 267, 543, 2197, 883, 741, 1378, 15885, 269, 1358, 1336, 2933, 6537, 2509, 2870, 811, 2123, 543, 15982, 2984, 1369, 741, 18405, 267, 6273, 676, 667, 2643, 534, 781, 960, 609, 634, 17020, 1282, 741, 4583, 12476, 618, 570, 16747, 7886, 269, 1306, 789, 4797, 2324, 1927, 267, 16092, 7691, 875, 1454, 741, 5698, 609, 519, 6512, 6766, 711, 1152, 741, 1603, 2511, 855, 849, 741, 2949, 12372, 1222, 780, 4263, 835, 1880, 2259, 8400, 267, 519, 14941, 1067, 267, 7665, 267, 6700, 3843, 856, 513, 1007, 11460, 585, 835, 540, 16092, 781, 3312, 8964, 269, 21231, 11688, 26938, 267, 16092, 5555, 8815, 547, 2285, 621, 513, 8929, 269, 1677, 741, 9983, 267, 519, 15428, 4528, 32131, 1256, 1732, 982, 1354, 1107, 15386, 6946, 15747, 16799, 1063, 1142, 4759, 1247, 8497, 519, 3929, 3178, 540, 519, 3312, 5888, 269, 901, 1995, 6026, 16092, 519, 1871, 540, 8508, 16268, 5955, 543, 1373, 1930, 547, 1689, 267, 7175, 2208, 607, 1312, 513, 1268, 543, 606, 7376, 780, 4913, 267, 711, 782, 4205, 1369, 519, 6512, 941, 5347, 22892, 269, 2290, 3781, 267, 1310, 513, 1279, 1554, 540, 10916, 267, 10917, 619, 1166, 1563, 950, 7234, 799, 4287, 547, 1491, 1776, 835, 540, 16092, 781, 8964, 269, 30464, 626, 8861, 4941, 547, 1039, 5907, 2609, 547, 2413, 1125, 922, 1745, 267, 6466, 13691, 626, 5981, 29739, 593, 5329, 1919, 6151, 543, 5214, 269, 595, 4381, 538, 519, 1647, 267, 16092, 7948, 1405, 6430, 1018, 1131, 581, 1655, 585, 519, 3950, 780, 1103, 606, 3801, 547, 8207, 519, 24895, 993, 545, 2406, 267, 16092, 6069, 12180, 513, 1895, 23730, 8400, 1141, 3025, 1223, 2671, 741, 2093, 1510, 10385, 610, 9880, 269, 4438, 519, 5870, 267, 1142, 4759, 8362, 19557, 547, 835, 1776, 543, 1500, 2386, 547, 19472, 3025, 3116, 781, 8369, 269, 3414, 1930, 2792, 543, 1620, 267, 789, 7307, 547, 3914, 513, 14207, 281, 16471, 2609, 540, 1312, 10600, 267, 4611, 538, 513, 4195, 2943, 21705, 14906, 819, 540, 16092, 781, 19820, 780, 1607, 10071, 12006, 519, 4644, 540, 8026, 3742, 6947, 1983, 543, 11744, 6568, 2509, 1866, 262, 5380, 269, 898, 18674, 519, 2856, 602, 2042, 666, 581, 12193, 15217, 952, 1004, 1935, 873, 609, 9639, 267, 2463, 267, 543, 5876, 269, 5015, 267, 621, 4951, 16092, 20250, 875, 5683, 3375, 6194, 3157, 1223, 6536, 9322, 543, 2327, 11144, 538, 1022, 2016, 9183, 780, 9961, 741, 3460, 609, 634, 24306, 4860, 2526, 267, 16092, 4121, 3407, 4245, 827, 16542, 267, 1582, 22325, 267, 543, 7499, 1646, 269, 1635, 2921, 6667, 689, 7585, 667, 2643, 534, 781, 11599, 5698, 609, 634, 17020, 267, 16092, 16916, 741, 23141, 607, 513, 5152, 23116, 1247, 14637, 6209, 3347, 609, 8284, 12372, 269, 11086, 267, 891, 2833, 8032, 16092, 883, 513, 811, 8746, 543, 17519, 7376, 267, 4712, 547, 3068, 8726, 2591, 9114, 6619, 538, 13287, 540, 741, 9909, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 22081, 1705, 7585, 667, 2643, 534, 781, 5698, 609, 634, 17020, 3310, 1010, 5152, 8586, 2511, 888, 7692, 667, 2643, 534, 781, 5698, 609, 634, 17020, 267, 3226, 1282, 741, 12476, 618, 570, 16747, 7886, 538, 476, 3422, 278, 267, 1185, 513, 1713, 3310, 593, 1010, 5152, 8586, 2511, 269, 667, 2643, 534, 781, 942, 609, 634, 17020, 5280, 1864, 547, 1020, 513, 811, 2123, 543, 15982, 2511, 540, 5152, 8586, 267, 607, 1134, 607, 606, 7071, 585, 1977, 5072, 2575, 971, 607, 12563, 267, 21462, 267, 543, 2197, 780, 763, 10319, 5790, 540, 634, 17020, 781, 7886, 4847, 667, 2643, 534, 547, 4603, 609, 1007, 6163, 543, 2553, 269, 1261, 3459, 547, 6451, 811, 1950, 543, 30305, 12417, 883, 1010, 8964, 267, 9001, 513, 9962, 2039, 540, 7405, 543, 18282, 269, 667, 2643, 534, 849, 3459, 547, 1445, 811, 593, 2239, 9423, 538, 1010, 18405, 267, 5373, 6667, 689, 2757, 12563, 543, 21462, 8964, 780, 14454, 267, 667, 2643, 534, 781, 5698, 609, 634, 17020, 5280, 1864, 547, 4228, 1010, 7574, 20030, 543, 547, 1020, 513, 811, 8076, 543, 10058, 5639, 607, 513, 5152, 23116, 269, 3509, 540, 519, 8964, 602, 646, 5206, 1282, 713, 533, 10640, 25147, 3197, 609, 3982, 14789, 269, 634, 1650, 1058, 11200, 998, 741, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 267, 10771, 519, 2956, 540, 6568, 267, 7881, 267, 543, 1966, 9010, 563, 763, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 269, 0, 6092, 5149, 281, 3474, 1963, 543, 21001, 3380, 540, 4906, 692, 8702, 547, 713, 3078, 1576, 1141, 649, 786, 1451, 827, 930, 540, 519, 4241, 2984, 1336, 538, 519, 1715, 11620, 3296, 540, 519, 6426, 256, 13018, 267, 649, 3513, 1445, 593, 1612, 1963, 543, 28986, 5340, 676, 4906, 1282, 1010, 942, 593, 3047, 269, 1403, 596, 4312, 2479, 4862, 519, 8360, 834, 320, 1650, 609, 513, 3992, 2437, 1287, 596, 2907, 917, 1018, 513, 1612, 762, 568, 256, 1656, 952, 596, 4312, 2938, 1945, 9058, 4755, 602, 8604, 7543, 267, 621, 1522, 1175, 581, 2808, 513, 27803, 269, 1924, 1577, 781, 4685, 883, 891, 6909, 6386, 2439, 1262, 8005, 729, 4906, 15140, 6524, 649, 7914, 883, 1612, 1963, 543, 28986, 267, 1577, 781, 2911, 13713, 827, 945, 4906, 729, 269, 4340, 547, 4168, 3661, 267, 4906, 729, 630, 663, 1869, 568, 264, 2696, 779, 12312, 2366, 547, 4001, 1004, 875, 547, 2661, 741, 2729, 609, 2648, 543, 11587, 2509, 1866, 269, 1261, 8057, 909, 538, 9294, 732, 628, 543, 6170, 1472, 1614, 1296, 10707, 2429, 5840, 267, 4687, 3571, 6835, 998, 1312, 1913, 543, 3527, 780, 1262, 8139, 3474, 1963, 4373, 288, 1612, 762, 568, 899, 513, 11015, 610, 678, 1497, 20386, 3330, 513, 1650, 269, 898, 2356, 3322, 8723, 2621, 610, 3615, 855, 11438, 4514, 10096, 1644, 547, 5837, 2418, 610, 3909, 18408, 269, 1635, 1210, 11541, 3871, 543, 3197, 267, 4906, 1500, 1950, 4245, 4443, 547, 1174, 269, 2913, 781, 1413, 693, 606, 1383, 1384, 265, 763, 6153, 6341, 541, 11939, 630, 299, 8123, 476, 1015, 281, 1839, 268, 4391, 12684, 454, 285, 589, 812, 3893, 16091, 676, 3775, 1499, 1247, 10707, 543, 2451, 3368, 4666, 22290, 519, 4155, 269, 5565, 3909, 3401, 15336, 2250, 1864, 855, 4769, 1405, 3247, 547, 948, 269, 1717, 267, 513, 24928, 910, 513, 6341, 541, 11939, 910, 4718, 519, 13676, 812, 543, 3576, 1416, 540, 1864, 5103, 741, 2686, 3604, 780, 1607, 1612, 762, 11414, 721, 602, 6029, 8296, 543, 4543, 1346, 538, 991, 616, 811, 1271, 982, 938, 28639, 543, 12886, 269, 1879, 2542, 1612, 1963, 267, 2141, 2307, 3054, 267, 968, 1432, 568, 519, 6456, 2495, 3297, 713, 1650, 9495, 692, 1262, 18698, 21001, 3380, 4373, 300, 4275, 3380, 941, 9058, 2621, 602, 7152, 4906, 262, 10143, 1379, 543, 6392, 269, 3414, 28986, 267, 4906, 4951, 23502, 267, 646, 4705, 19210, 525, 267, 6417, 2470, 267, 543, 1256, 4547, 1004, 1394, 547, 1272, 256, 1358, 6039, 607, 6169, 602, 1261, 729, 8197, 2696, 781, 12312, 269, 3371, 781, 835, 971, 3236, 1384, 265, 293, 29623, 519, 12866, 23897, 663, 630, 15812, 476, 277, 281, 1789, 268, 4510, 12684, 454, 285, 4906, 729, 3450, 513, 5458, 15624, 950, 789, 7691, 3025, 729, 17237, 269, 2353, 789, 1185, 941, 2947, 3138, 2314, 540, 3694, 543, 1079, 3165, 267, 799, 4906, 25552, 1354, 26084, 1851, 519, 1004, 269, 15526, 17696, 2394, 789, 941, 2407, 267, 543, 972, 941, 2451, 13569, 2439, 5331, 2348, 1152, 513, 2370, 1426, 585, 5215, 540, 1004, 267, 2943, 1100, 835, 4682, 1753, 17237, 1310, 4906, 22283, 538, 269, 901, 27803, 9727, 602, 4986, 568, 7543, 609, 5132, 543, 3972, 538, 2696, 780, 1262, 25603, 2368, 6206, 22955, 4373, 3086, 602, 649, 1174, 1612, 1963, 543, 28986, 1577, 781, 2743, 930, 1713, 2043, 2404, 609, 873, 1384, 272, 269, 2878, 11990, 519, 24347, 548, 4995, 2290, 540, 4906, 262, 12964, 20785, 267, 3627, 5129, 513, 4105, 1909, 538, 10825, 8567, 269, 5783, 2245, 6585, 602, 646, 30363, 519, 20227, 540, 3627, 267, 1614, 19815, 956, 12946, 1010, 2012, 267, 543, 519, 3883, 540, 31694, 269, 1284, 3513, 2263, 811, 827, 3627, 2663, 538, 713, 1770, 563, 273, 269, 2878, 11990, 519, 23837, 4995, 3502, 547, 581, 11821, 609, 3627, 519, 24347, 548, 267, 3627, 519, 23837, 5423, 519, 1259, 585, 4906, 676, 840, 2286, 1065, 550, 766, 543, 19071, 1944, 1004, 269, 15623, 781, 20227, 6645, 721, 602, 3627, 19071, 1242, 4906, 5128, 780, 2026, 649, 3460, 998, 713, 1576, 267, 3314, 602, 1142, 1612, 762, 543, 27803, 5713, 513, 3483, 1107, 547, 8300, 267, 4161, 267, 543, 3391, 721, 4724, 4742, 1732, 8747, 540, 6000, 269, 5901, 6998, 2055, 543, 5275, 4267, 1317, 1169, 1650, 6927, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 27324, 476, 272, 1548, 2835, 540, 519, 6426, 1705, 3627, 519, 24347, 548, 2328, 888, 268, 476, 273, 1215, 1082, 2835, 538, 519, 6426, 1705, 519, 24347, 548, 3627, 2328, 888, 268, 476, 274, 9894, 519, 1482, 3627, 5206, 519, 20227, 543, 31694, 888, 268, 476, 275, 12984, 519, 1433, 540, 3627, 2854, 676, 3627, 519, 23837, 888, 268, 476, 276, 6904, 1167, 2118, 1705, 4906, 6068, 519, 1034, 888, 268, 476, 277, 9894, 4906, 723, 1022, 16254, 888, 268, 476, 278, 3657, 972, 1079, 2835, 540, 3627, 538, 519, 6426, 888, 268, 476, 279, 5808, 5206, 519, 1433, 540, 31694, 538, 519, 6426, 888, 268, 476, 280, 5808, 5206, 476, 272, 3627, 6426, 888, 268, 476, 1015, 1548, 568, 519, 1101, 27803, 540, 4906, 888, 268, 476, 1556, 1548, 568, 519, 20125, 1433, 538, 519, 1715, 11620, 888, 268, 476, 1321, 5808, 616, 519, 1614, 8592, 538, 519, 6426, 888, 268, 476, 1724, 4208, 568, 20227, 540, 3627, 865, 1114, 888, 268, 476, 1691, 1548, 568, 519, 1292, 5048, 540, 519, 20227, 540, 3627, 888, 268, 476, 1428, 9894, 3627, 519, 23837, 19071, 1125, 4906, 888, 1432, 2835, 540, 519, 6426, 1705, 3627, 519, 24347, 548, 2328, 888, 2419, 3420, 2245, 814, 4371, 602, 3627, 568, 519, 2278, 540, 519, 20227, 540, 3627, 543, 2185, 824, 2835, 540, 519, 1715, 11620, 1107, 519, 1614, 9210, 30178, 540, 3627, 543, 519, 3883, 540, 31694, 563, 1692, 1082, 2835, 538, 519, 6426, 1705, 519, 24347, 548, 3627, 2328, 888, 11990, 5206, 2185, 2835, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 13640, 1963, 543, 21001, 3380, 540, 4906, 257, 607, 851, 540, 834, 16300, 13493, 1315, 15215, 1315, 6426, 12267, 1315, 1715, 11620, 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, 589, 1906, 3275, 3516, 267, 594, 1336, 8885, 29957, 998, 23749, 267, 3168, 585, 2189, 18226, 2833, 538, 20506, 23051, 607, 594, 729, 4058, 513, 7552, 547, 3643, 1250, 1279, 26591, 1655, 3659, 269, 1284, 2811, 1312, 1426, 12439, 609, 13395, 4690, 1107, 9553, 1373, 3843, 856, 8966, 14060, 543, 552, 831, 625, 8164, 649, 2951, 267, 1247, 1352, 14560, 4376, 1644, 547, 5527, 1108, 630, 13433, 267, 596, 1224, 602, 1318, 256, 6393, 296, 16686, 2390, 513, 2022, 7234, 2199, 11951, 543, 2189, 18226, 2833, 538, 20506, 23051, 269, 2290, 3210, 9575, 1250, 3750, 281, 834, 2252, 596, 1616, 606, 20605, 10543, 2407, 540, 26208, 267, 2638, 856, 1412, 763, 3203, 3427, 31777, 656, 9538, 898, 781, 711, 1175, 827, 519, 1426, 282, 621, 781, 606, 1995, 1701, 2271, 29098, 267, 594, 4956, 547, 1433, 513, 3349, 585, 721, 269, 9741, 1705, 594, 917, 267, 938, 3781, 1131, 1491, 606, 6397, 2490, 780, 2026, 4166, 607, 649, 22283, 883, 519, 17715, 16972, 2679, 8027, 634, 3203, 3427, 31777, 656, 267, 649, 941, 30870, 676, 30664, 764 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 18550, 476, 2420, 910, 4653, 781, 2022, 8329, 676, 6833, 787, 1684, 615, 1399, 540, 634, 7335, 31793, 454, 2026, 519, 2413, 3158, 540, 513, 2413, 8004, 267, 835, 540, 1250, 3853, 814, 2141, 1044, 547, 1711, 3970, 1652, 20030, 540, 4316, 585, 1250, 8250, 269, 594, 1616, 547, 6338, 1200, 547, 2021, 4171, 2631, 540, 5898, 3357, 689, 1369, 543, 6445, 1200, 1158, 609, 2021, 4171, 30493, 2501, 689, 2182, 960, 267, 16177, 267, 11428, 2560, 993, 594, 840, 2286, 547, 519, 1781, 597, 286, 590, 13446, 563, 5804, 2021, 945, 941, 6619, 540, 741, 942, 547, 4948, 12325, 267, 594, 723, 4941, 21965, 547, 711, 1175, 968, 1889, 564, 873, 2223, 855, 849, 1205, 513, 2631, 540, 741, 1909, 538, 1686, 269, 1306, 782, 540, 519, 9708, 1354, 713, 723, 3254, 721, 910, 972, 616, 865, 1082, 2150, 1245, 543, 14758, 8153, 2984, 540, 2021, 540, 1390, 22920, 1869, 547, 2995, 269, 594, 993, 865, 9599, 827, 519, 8458, 585, 21965, 543, 594, 547, 3136, 1565, 267, 4687, 267, 543, 3395, 1927, 563, 6546, 568, 1631, 267, 855, 1018, 827, 1287, 286, 1215, 1223, 594, 1303, 823, 513, 22525, 543, 9251, 518, 609, 22808, 286, 1215, 798, 596, 2491, 968, 659, 1260, 680, 7321, 892, 547, 513, 1614, 4458, 6040, 286, 594, 4076, 2141, 6068, 22808, 543, 1224, 873, 1169, 4960, 594, 1205, 269, 1809, 22808, 585, 2370, 6690, 286, 1684, 789, 1118, 873, 538, 968, 327, 2788, 533, 6493, 892, 630, 1729, 22950, 19189, 23718, 16016, 8712, 8187, 518, 264, 2336, 763, 2626, 568, 9811, 256, 3733, 8745, 568, 3502, 1772, 629, 7578, 676, 26391, 674, 657, 9440, 630, 12507, 4486, 4446, 7758, 4964, 267, 476, 1220, 279, 264, 729, 938, 1101, 6602, 269, 898, 729, 711, 1152, 519, 13622, 594, 729, 3168, 585, 267, 21965, 8359, 621, 607, 519, 3044, 1996, 799, 1352, 6027, 824, 2835, 827, 4583, 2021, 563, 290, 15811, 267, 1250, 9393, 9291, 267, 543, 594, 941, 1159, 527, 1084, 676, 519, 1650, 14678, 269, 1284, 1224, 621, 585, 4374, 267, 2356, 693, 21965, 779, 7662, 563, 7069, 8745, 568, 3502, 1772, 629, 7578, 568, 513, 4605, 1433, 602, 12857, 1762, 9458, 547, 3670, 3810, 12913, 2021, 281, 590, 718, 773, 681, 728, 267, 7788, 773, 18718, 2917, 267, 28266, 20088, 267, 10906, 4563, 6202, 267, 21322, 4354, 773, 267, 543, 3158, 563, 2691, 1772, 629, 7578, 530, 1389, 909, 267, 1352, 3045, 25555, 547, 1200, 3158, 602, 1352, 814, 4957, 1200, 2012, 547, 22123, 267, 968, 1492, 6574, 267, 27162, 4554, 16106, 945, 2479, 729, 1848, 1635, 14254, 267, 1352, 814, 4957, 1200, 2012, 547, 7788, 773, 267, 968, 1492, 6574, 267, 16595, 8325, 6879, 2393, 518, 945, 2479, 729, 1848, 1306, 1352, 3762, 547, 4604, 519, 1153, 1668, 267, 1352, 779, 28266, 267, 968, 1492, 6574, 267, 2909, 4034, 19191, 945, 2479, 729, 3034, 5475, 1153, 267, 21322, 4354, 773, 267, 519, 968, 24030, 652, 267, 5100, 652, 10196, 945, 2479, 729, 892, 21593, 1200, 10217, 13863, 3434, 543, 968, 4134, 1723, 951, 892, 519, 4267, 547, 1200, 6780, 269, 3220, 269, 10906, 4563, 6202, 267, 968, 1492, 6574, 2186, 652, 4387, 945, 2479, 729, 892, 26082, 519, 1920, 12129, 3349, 282, 543, 16474, 968, 1492, 6574, 6653, 652, 3993, 945, 2479, 729, 2223, 3217, 513, 19389, 8602, 1354, 16246, 883, 5127, 607, 1772, 629, 7578, 267, 2899, 1586, 563, 16352, 513, 3376, 5542, 540, 2021, 910, 543, 1519, 1373, 513, 3158, 607, 1373, 607, 8449, 12913, 910, 2731, 1500, 519, 1433, 1796, 856, 585, 721, 269, 594, 849, 6068, 875, 3158, 779, 6114, 1264, 7757, 519, 3140, 1915, 269, 1280, 1383, 267, 950, 1772, 629, 7578, 10294, 602, 1352, 729, 7788, 773, 267, 16474, 4280, 1200, 547, 968, 20183, 936, 1934, 543, 3548, 909, 1496, 19874, 9724, 20426, 7536, 763, 2278, 2882, 513, 8523, 543, 2110, 5037, 10503, 519, 18517, 540, 1142, 540, 519, 2021, 267, 607, 1134, 607, 513, 4214, 540, 741, 3924, 630, 770, 1258, 2246, 267, 5857, 1186, 327, 2393, 518, 267, 19191, 267, 10196, 267, 4387, 267, 3993, 1040, 634, 19777, 941, 3226, 5363, 269, 594, 4121, 1919, 267, 1932, 256, 634, 12092, 540, 16474, 568, 513, 8799, 5905, 563, 7069, 8745, 568, 3502, 1772, 629, 7578, 267, 609, 922, 6505, 4778, 267, 2241, 5220, 267, 543, 16625, 1257, 568, 513, 3501, 1224, 16965, 585, 835, 6823, 14633, 2542, 610, 1507, 2516, 269, 634, 1650, 12346, 8185, 593, 5188, 267, 543, 21965, 3533, 8357, 1242, 1200, 3515, 607, 968, 3674, 629, 7578, 892, 865, 1352, 1223, 581, 851, 540, 519, 1433, 2560, 543, 2141, 1185, 513, 2462, 29751, 585, 3158, 693, 519, 1439, 256, 594, 7948, 1406, 2709, 513, 1732, 16252, 982, 602, 563, 24404, 787, 568, 513, 15400, 5467, 543, 24158, 540, 3140, 5708, 543, 12092, 269, 2701, 2451, 519, 960, 8584, 6377, 1158, 540, 1857, 3028, 950, 1352, 2968, 16474, 267, 543, 13603, 909, 513, 1007, 23290, 281, 9878, 4464, 513, 2648, 540, 2542, 563, 9515, 8547, 634, 7335, 31793, 10378, 267, 513, 1920, 7924, 18758, 267, 950, 1200, 1631, 476, 1556, 4458, 6040, 729, 1175, 476, 1240, 3275, 269, 570, 1600, 540, 7487, 25985, 540, 5641, 23829, 728, 5399, 2835, 602, 21965, 4956, 1352, 4769, 1406, 1616, 547, 1224, 15042, 267, 6833, 787, 4956, 547, 948, 3885, 1265, 2835, 602, 741, 3214, 667, 2839, 1616, 547, 1224, 563, 9213, 267, 596, 3580, 1265, 1200, 1603, 827, 1920, 7924, 593, 1200, 5816, 7731, 7734, 3559, 325, 267, 543, 4946, 1433, 8039, 547, 634, 7335, 31793, 10378, 5680, 3135, 543, 26964, 267, 607, 1134, 607, 10004, 1154, 827, 1312, 593, 5616, 266, 543, 12108, 269, 0, 267, 3018, 540, 454, 22261, 269, 476, 1691, 267, 476, 1001, 277, 454, 272, 269, 3778, 538, 519, 10435, 454, 2691, 646, 3217, 5604, 593, 5130, 476, 736, 267, 17044, 18496, 11686, 786, 1118, 1686, 607, 519, 1101, 1268, 11221, 547, 581, 7022, 540, 519, 2136, 2276, 1510, 2479, 2348, 6039, 538, 1857, 5604, 610, 519, 772, 2529, 269, 4108, 269, 11686, 17204, 19391, 520, 10830, 776, 22735, 676, 10888, 2829, 899, 12309, 267, 16855, 543, 12425, 602, 2356, 723, 6462, 24273, 585, 7022, 538, 519, 2250, 269, 4595, 519, 9550, 267, 2797, 4966, 543, 3401, 540, 1312, 6105, 723, 1044, 7421, 1018, 2152, 941, 1883, 547, 11686, 779, 11802, 543, 1946, 1346, 2152, 941, 1271, 547, 17037, 269, 769, 519, 11356, 610, 2228, 267, 1265, 543, 5702, 1224, 2984, 7421, 5518, 3887, 937, 11686, 779, 9550, 3094, 269, 2422, 1018, 596, 1224, 547, 2328, 513, 2110, 21107, 7234, 1018, 2152, 941, 1034, 1271, 267, 1946, 789, 941, 1271, 547, 17037, 543, 1018, 4245, 2104, 10457, 1223, 2721, 689, 873, 269, 9181, 607, 513, 1362, 563, 13349, 11759, 3557, 11621, 281, 5675, 6644, 4773, 593, 3584, 610, 5931, 267, 5885, 513, 1448, 540, 2070, 609, 4128, 543, 1344, 282, 19696, 1808, 21849, 2963, 950, 1603, 610, 6340, 547, 1489, 8753, 282, 2502, 3927, 538, 513, 2039, 540, 10319, 5717, 563, 273, 269, 623, 10134, 328, 547, 12338, 17491, 454, 763, 623, 10134, 328, 2754, 568, 19480, 909, 3646, 547, 2569, 519, 1297, 540, 24494, 16098, 621, 23619, 269, 1635, 519, 1032, 476, 1708, 276, 267, 693, 2547, 1079, 22188, 540, 519, 2698, 4320, 540, 16098, 4421, 676, 519, 2754, 786, 723, 1100, 811, 982, 476, 1911, 8477, 689, 3773, 14836, 829, 476, 1321, 268, 25555, 267, 519, 2754, 814, 9307, 269, 634, 1847, 2501, 607, 2229, 3401, 538, 519, 2136, 2276, 543, 1472, 519, 1158, 616, 3001, 547, 3454, 2571, 10425, 543, 4829, 23238, 538, 606, 4674, 547, 8396, 519, 4220, 540, 1373, 14968, 610, 17324, 267, 610, 3384, 519, 2068, 3987, 269, 634, 1297, 540, 1004, 945, 616, 14968, 610, 17324, 814, 1831, 513, 3395, 1072, 1966, 538, 519, 2136, 2276, 543, 824, 2919, 6082, 269, 1306, 513, 1267, 267, 1072, 543, 2229, 3401, 616, 3843, 513, 3099, 540, 4485, 547, 2569, 519, 1966, 269, 769, 519, 11356, 610, 2228, 267, 1265, 543, 5702, 1224, 2984, 827, 971, 3646, 269, 2422, 1018, 596, 1224, 547, 2328, 513, 4484, 547, 519, 9375, 267, 4758, 707, 2070, 593, 4485, 596, 1589, 1223, 581, 1034, 2500, 563, 13349, 11759, 3557, 11621, 281, 7335, 5702, 1018, 513, 1257, 3081, 12799, 543, 547, 1118, 9266, 31921, 689, 621, 282, 6721, 2312, 543, 17396, 1603, 538, 799, 519, 1646, 267, 3919, 543, 2511, 616, 3617, 547, 519, 4305, 563, 274, 269, 772, 2529, 269, 20709, 10925, 538, 2859, 5384, 454, 25567, 753, 960, 811, 3108, 982, 4600, 798, 538, 3592, 1022, 824, 4182, 538, 519, 4853, 1242, 1158, 2443, 543, 789, 1491, 7864, 16314, 2395, 269, 1548, 779, 811, 267, 789, 13649, 2663, 267, 24192, 9959, 538, 513, 1007, 1353, 269, 634, 3328, 772, 2529, 269, 11832, 12662, 538, 3592, 476, 1839, 2600, 811, 3108, 982, 519, 3328, 3864, 267, 519, 3173, 4121, 269, 4892, 960, 2182, 547, 1683, 585, 741, 3885, 543, 2087, 741, 2729, 269, 1656, 3006, 789, 960, 1279, 3108, 2443, 610, 811, 982, 835, 2816, 2443, 547, 1118, 7475, 2743, 269, 769, 519, 11356, 610, 2228, 267, 1265, 543, 5702, 1224, 513, 1650, 827, 513, 1268, 2324, 1279, 3108, 610, 811, 982, 835, 2816, 269, 2422, 1018, 596, 1224, 547, 2328, 513, 5758, 540, 1946, 519, 1268, 568, 2324, 607, 789, 798, 2443, 543, 1018, 602, 3081, 827, 519, 2591, 6849, 1977, 4600, 563, 13349, 11759, 3557, 11621, 281, 5675, 13181, 270, 1410, 17839, 2218, 5931, 547, 4983, 513, 1888, 543, 6655, 2093, 543, 1344, 5693, 282, 19696, 1808, 21849, 2963, 950, 1603, 610, 6340, 547, 1489, 8753, 563, 275, 269, 15724, 583, 656, 547, 2142, 12338, 454, 5415, 982, 476, 1911, 6082, 1472, 519, 1158, 723, 8815, 547, 3970, 519, 946, 540, 513, 1883, 1895, 540, 6464, 602, 3565, 547, 2518, 8337, 543, 2916, 1689, 269, 20051, 538, 519, 3979, 4182, 540, 24063, 267, 519, 6082, 8815, 547, 1698, 519, 946, 540, 8652, 22381, 528, 665, 16808, 976, 630, 295, 293, 12336, 264, 602, 616, 4922, 1031, 538, 2011, 2783, 619, 543, 14023, 2209, 1472, 519, 1158, 269, 634, 670, 15598, 7182, 786, 2253, 538, 476, 1001, 280, 585, 2919, 2477, 543, 538, 476, 1708, 275, 585, 3384, 2477, 269, 670, 293, 12336, 267, 799, 4283, 519, 5790, 607, 8511, 9362, 267, 616, 2808, 1851, 519, 1158, 779, 16595, 21212, 2916, 14107, 676, 3744, 269, 3509, 6082, 616, 2921, 3268, 547, 2569, 519, 4320, 540, 8511, 9362, 538, 606, 4674, 547, 2569, 519, 1764, 540, 2518, 8337, 269, 769, 519, 11356, 610, 2228, 267, 1265, 543, 5702, 1224, 827, 606, 4674, 538, 513, 2197, 824, 982, 519, 2136, 2276, 269, 19171, 569, 1224, 519, 1650, 543, 16540, 606, 2856, 585, 513, 2110, 3381, 610, 4670, 827, 519, 4674, 543, 1018, 4245, 621, 1223, 2709, 519, 2136, 2276, 269, 3503, 606, 7291, 585, 707, 4670, 267, 1519, 2592, 596, 1131, 1331, 269, 3973, 2328, 519, 1101, 6429, 538, 519, 2511, 540, 513, 1847, 5496, 2452, 563, 13349, 11759, 3557, 11621, 281, 5675, 6386, 547, 1020, 1483, 610, 16545, 2833, 610, 2621, 282, 10647, 2110, 1382, 3785, 602, 1628, 1702, 827, 513, 1888, 282, 2542, 5702, 1018, 513, 1257, 3081, 12799, 543, 547, 1118, 9266, 31921, 689, 621, 563, 276, 269, 2048, 11854, 752, 2296, 685, 6178, 717, 821, 454, 1103, 15740, 267, 12425, 267, 519, 2637, 334, 779, 6008, 6545, 1491, 719, 13962, 13631, 2647, 3007, 513, 8717, 3516, 950, 621, 2322, 513, 1129, 538, 922, 4831, 6885, 602, 10294, 281, 968, 1607, 1772, 3013, 270, 2691, 18103, 1359, 267, 7490, 28423, 2296, 1848, 3767, 267, 1510, 7778, 267, 2637, 334, 779, 814, 6569, 519, 1129, 267, 799, 729, 1312, 26916, 543, 28715, 538, 15737, 689, 1472, 519, 1158, 269, 13574, 518, 15608, 344, 20764, 334, 267, 4171, 4651, 1101, 2322, 909, 519, 1129, 267, 1767, 602, 5103, 1010, 1378, 968, 17641, 2797, 5784, 2560, 621, 779, 942, 547, 1847, 593, 892, 1310, 476, 1015, 1296, 269, 2637, 334, 779, 568, 835, 540, 1896, 15740, 24284, 2442, 609, 8436, 689, 1472, 519, 1158, 585, 922, 29380, 652, 324, 6545, 543, 824, 3536, 269, 634, 968, 12626, 1152, 892, 1129, 693, 2637, 334, 779, 4607, 1390, 3007, 607, 519, 4182, 23503, 875, 547, 4308, 609, 11082, 945, 2097, 547, 519, 2197, 892, 2901, 16155, 610, 24648, 958, 269, 769, 519, 11356, 610, 2228, 267, 1265, 543, 5702, 1224, 2984, 827, 519, 4182, 779, 7521, 936, 11776, 269, 1306 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 272, 269, 273, 269, 274, 19554, 2127, 585, 533, 23098, 267, 7573, 2472, 543, 676, 1790, 20094, 269, 476, 6642, 269, 279, 269, 14530, 269, 7367, 1280, 3339, 4859, 281, 630, 272, 264, 5071, 730, 2127, 585, 1142, 1587, 15307, 26305, 23305, 13082, 8779, 585, 14716, 13202, 476, 2537, 267, 476, 1001, 280, 5788, 634, 25194, 1062, 540, 513, 2679, 3335, 8309, 513, 5934, 540, 476, 1015, 2600, 547, 476, 1321, 2600, 267, 3006, 811, 267, 540, 519, 2698, 2679, 1942, 269, 634, 6480, 26305, 26488, 23305, 5374, 568, 7363, 11720, 539, 676, 2597, 267, 865, 2348, 513, 6109, 2856, 540, 1018, 7293, 6810, 786, 581, 1031, 543, 519, 2495, 540, 519, 4484, 532, 540, 1142, 3296, 568, 1271, 585, 2462, 1858, 1769, 5374, 2497, 585, 7573, 1984, 2679, 17637, 543, 4886, 540, 19676, 631, 3739, 543, 25416, 4509, 1970, 543, 7123, 7573, 5777, 543, 941, 2656, 547, 3895, 543, 1489, 519, 10073, 540, 519, 1007, 2029, 630, 289, 1046, 518, 1299, 4173, 19049, 267, 476, 2735, 276, 1040, 634, 4295, 540, 519, 7573, 26083, 518, 568, 519, 5374, 16945, 799, 568, 513, 1547, 5374, 11508, 1826, 1984, 543, 3096, 1360, 1164, 1547, 2604, 547, 4894, 519, 26083, 543, 32432, 519, 10286, 269, 898, 10905, 519, 632, 3620, 639, 6362, 543, 1135, 5109, 1184, 883, 835, 0, 6635, 11037, 1014, 543, 824, 31157, 454, 8867, 18200, 324, 546, 262, 6635, 11037, 676, 11184, 7338, 5689, 800, 3798, 1243, 543, 1101, 3370, 676, 5261, 6970, 868, 517, 538, 476, 16825, 276, 267, 11184, 7338, 5689, 800, 781, 2189, 543, 26672, 573, 4528, 540, 519, 14880, 1014, 10828, 6645, 606, 32161, 1650, 540, 2648, 267, 7045, 267, 669, 2526, 787, 267, 30217, 344, 267, 543, 2669, 27401, 1348, 519, 2407, 1257, 1934, 454, 763, 594, 11276, 961, 338, 540, 519, 3751, 676, 21238, 267, 7083, 570, 3317, 903, 517, 634, 16972, 10564, 267, 21238, 267, 7083, 570, 3317, 903, 517, 267, 1759, 1010, 12964, 6648, 1412, 296, 11276, 961, 338, 540, 519, 3751, 262, 630, 6977, 280, 268, 5952, 264, 593, 519, 18200, 324, 667, 262, 6635, 11037, 23099, 1224, 519, 2407, 1257, 1934, 454, 294, 843, 553, 1546, 19196, 573, 1470, 2826, 2023, 636, 901, 1433, 568, 519, 1152, 8101, 2707, 799, 3470, 1161, 689, 519, 942, 540, 519, 17454, 29509, 21037, 540, 6628, 543, 568, 519, 1152, 4207, 14880, 1014, 2707, 602, 666, 581, 8947, 2221, 10371, 23099, 1348, 519, 2407, 1257, 1934, 454, 8110, 956, 9366, 639, 634, 20822, 1412, 8110, 956, 9366, 639, 262, 630, 550, 12822, 2048, 763, 4400, 3778, 540, 519, 10513, 3400, 559, 685, 676, 1530, 30807, 1014, 27213, 538, 1010, 8144, 264, 568, 5156, 547, 723, 1044, 7768, 593, 519, 11782, 540, 2342, 267, 2235, 320, 476, 14338, 271, 268, 11277, 271, 267, 607, 513, 27402, 540, 932, 4958, 1329, 1546, 307, 5797, 525, 262, 4652, 31944, 960, 834, 8110, 576, 1998, 267, 610, 519, 26427, 540, 519, 3400, 559, 2668, 901, 15832, 568, 2864, 811, 25386, 538, 3159, 982, 922, 21530, 25600, 1547, 10371, 1348, 519, 2407, 1257, 1934, 454, 763, 631, 629, 514, 690, 542, 568, 513, 4015, 540, 21730, 12563, 8941, 267, 519, 9998, 31607, 5299, 540, 799, 7389, 689, 519, 19412, 18818, 2540, 269, 1717, 1454, 540, 519, 1570, 568, 14320, 4587, 609, 519, 2185, 2984, 540, 519, 1101, 1895, 10916, 8823, 540, 3504, 22469, 13299, 1547, 10371, 1348, 519, 2407, 1257, 1934, 454, 306, 597, 717, 1177, 664, 543, 519, 5682, 27585, 910, 20908, 572, 4639, 517, 269, 4858, 557, 267, 669, 2526, 9317, 267, 561, 1195, 958, 21705, 547, 1010, 726, 32484, 2262, 267, 1085, 14442, 592, 3585, 646, 539, 995, 540, 1010, 1378, 543, 1866, 262, 22632, 267, 717, 1177, 664, 6763, 1354, 721, 538, 713, 6648, 269, 23099, 1348, 519, 2407, 1257, 1934, 454, 262, 7093, 1342, 15710, 7788, 342, 325, 333, 262, 910, 1412, 763, 1975, 334, 2812, 540, 7788, 342, 2106, 262, 634, 3883, 540, 13669, 625, 514, 568, 513, 4015, 540, 4412, 4854, 267, 3909, 543, 3140, 9954, 26723, 839, 4601, 2854, 676, 519, 15795, 2540, 21730, 536, 731, 13669, 625, 514, 269, 634, 9998, 17005, 5299, 814, 1044, 18584, 547, 476, 14096, 276, 269, 20226, 3858, 602, 930, 267, 855, 711, 782, 267, 540, 519, 1570, 3769, 538, 519, 1433, 540, 13669, 625, 514, 12090, 538, 519, 15795, 2540, 269, 634, 9954, 1331, 1412, 7093, 1342, 15710, 7788, 342, 325, 333, 262, 910, 1412, 763, 1975, 334, 2812, 540, 7788, 342, 2106, 7055, 763, 3828, 10679, 6997, 2293, 540, 4173, 6047, 4173, 6047, 729, 519, 5067, 540, 28736, 267, 855, 646, 729, 4535, 883, 519, 1920, 540, 513, 6180, 531, 4622, 269, 23099, 1348, 519, 2407, 1257, 1934, 454, 763, 1715, 13243, 676, 5261, 29965, 1656, 1705, 1346, 3952, 538, 3504, 942, 454, 310, 1779, 2390, 4789, 781, 10239, 3039, 888, 4517, 729, 519, 13411, 30340, 540, 2696, 454, 4002, 4789, 781, 16990, 2250, 999, 2938, 286, 2807, 1348, 519, 2407, 6648, 1934, 454, 10955, 3258, 19395, 26766, 910, 634, 681, 13273, 4495, 2390, 513, 28813, 26927, 776, 267, 1247, 594, 11432, 1229, 267, 4617, 543, 649, 776, 2676, 7021, 1082, 513, 844, 5593, 543, 8049, 4320, 540, 16618, 561, 648, 734, 454, 4407, 594, 21330, 267, 5176, 562, 6260, 267, 10393, 972, 3357, 513, 26378, 2676, 2026, 540, 930, 835, 9900, 986, 6137, 267, 986, 6137, 693, 1250, 12068, 7450, 32465, 1348, 519, 2407, 6648, 1934, 454, 307, 2529, 9950, 2993, 582, 910, 634, 654, 770, 14657, 6673, 6020, 299, 568, 519, 2267, 749, 652, 3923, 267, 9960, 454, 299, 559, 30929, 856, 540, 519, 4666, 2244, 267, 11544, 454, 300, 25514, 543, 7287, 267, 28817, 454, 291, 1638, 5072, 609, 5614, 4764, 23099, 907, 1224, 519, 2407, 6648, 1934, 454, 15578, 570, 4932, 12195, 2752, 10758, 291, 8991, 5442, 674, 3918, 4932, 3008, 2177, 23802, 676, 8121, 8025, 7838, 11581, 310, 19181, 26146, 25492, 3144, 689, 606, 2376, 538, 834, 763, 12769, 738, 5623, 2580, 11730, 2473, 299, 309, 267, 562, 657, 269, 476, 272, 543, 476, 275, 267, 5130, 543, 4989, 267, 476, 4572, 278, 27401, 1224, 519, 2407, 1257, 1934, 563, 1805, 821, 1156, 613, 543, 4033, 3703, 12942, 3933, 3701, 13562, 558, 1227, 3117, 30872, 676, 22374, 24522, 9807, 2060, 713, 21722, 960, 593, 12942, 1156, 613, 538, 519, 3735, 476, 866, 628, 2540, 11184, 22374, 24522, 9807, 4547, 713, 543, 824, 803, 6549, 603, 545, 20375, 896, 22987, 269, 1224, 519, 2407, 1257, 1934, 0, 16485, 539, 676, 281, 2549, 1706, 5915, 548, 327, 1676, 24216, 538, 7121, 281, 4937, 7831, 21213, 281, 476, 272, 560, 4728, 267, 476, 1708, 271, 454, 1432, 568, 519, 1599, 540, 513, 13798, 320, 28866, 888, 1103, 713, 1259, 267, 1018, 568, 519, 1599, 540, 513, 13798, 320, 888, 288, 13798, 320, 568, 513, 3296, 602, 20147, 606, 3003, 4062, 610, 513, 2101, 3350, 269, 898, 3622, 6799, 1007, 7574, 4798, 610, 2242, 519, 1883, 547, 1711, 606, 2912, 1043, 3017, 607, 513, 1259, 547, 8207, 7574, 8082, 543, 2347, 519, 5888, 269, 589, 2147, 2856, 568, 1336, 538, 519, 13798, 24297, 267, 799, 20147, 513, 4130, 3296, 540, 519, 2575, 563, 12234, 267, 1018, 568, 519, 1034, 1271, 2460, 540, 519, 973, 777, 527, 1637, 538, 519, 12312, 1092, 4813, 286, 6145, 519, 4098, 540, 519, 1646, 3296, 267, 519, 1448, 693, 799, 1646, 10596, 883, 973, 777, 527, 1637, 568, 835, 540, 519, 1034, 1271, 5626, 8090, 538, 519, 3003, 5067, 1092, 27322, 2497, 269, 898, 7436, 519, 1439, 540, 519, 1292, 4661, 543, 519, 4098, 540, 519, 3803, 10282, 585, 7498, 8802, 8973, 713, 267, 1018, 568, 513, 13798, 320, 28866, 888, 290, 18649, 269, 769, 513, 5067, 1092, 27322, 3350, 267, 513, 25759, 3296, 1739, 519, 973, 777, 527, 1637, 543, 24263, 1055, 519, 3350, 676, 18110, 4798, 610, 3384, 873, 2417, 563, 7617, 540, 519, 1739, 7157, 4564, 519, 6093, 5311, 540, 2621, 538, 513, 3350, 538, 5067, 1092, 1106, 888, 2750, 6570, 734, 285, 14946, 618, 734, 285, 1234, 5115, 527, 1637, 734, 285, 13798, 320, 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 ]
[ 1310, 799, 513, 1007, 4783, 540, 5137, 630, 274, 264, 6238, 563, 3383, 972, 5526, 547, 581, 606, 4277, 6384, 540, 8701, 640, 1063, 519, 2338, 476, 277, 543, 476, 280, 543, 1018, 789, 2099, 538, 519, 17807, 269, 1403, 649, 9192, 891, 1079, 2338, 649, 1205, 476, 1428, 269, 1284, 1223, 849, 9192, 519, 1079, 2338, 538, 1063, 476, 277, 543, 476, 280, 267, 799, 616, 476, 278, 543, 476, 279, 267, 799, 5916, 849, 1267, 538, 476, 1428, 269, 4033, 10659, 540, 2582, 7857, 2338, 4465, 1405, 1267, 538, 476, 1428, 269, 3371, 1919, 1831, 4277, 269, 1403, 649, 9062, 519, 10230, 5311, 676, 476, 1428, 1141, 649, 2451, 1055, 630, 30084, 476, 272, 269, 273, 1070, 519, 1267, 786, 581, 713, 1007, 5311, 912, 1428, 1107, 476, 2568, 1107, 476, 10755, 1107, 476, 5611, 1107, 476, 13301, 1107, 476, 22213, 1107, 476, 278, 3199, 1107, 476, 5611, 271, 1107, 476, 29848, 271, 1107, 476, 6812, 273, 271, 1107, 476, 12893, 3199, 4429, 2171, 9062, 1317, 8691, 568, 519, 4082, 540, 8701, 640, 1107, 835, 6587, 519, 824, 1107, 799, 568, 2556, 538, 1931, 547, 2844, 3294, 267, 607, 6829, 676, 1297, 476, 277, 269, 11569, 267, 952, 649, 2569, 519, 2338, 540, 713, 5311, 547, 513, 2582, 7857, 1297, 519, 1267, 568, 2141, 476, 277, 269, 1924, 1018, 649, 10416, 1294, 1934, 568, 519, 1570, 1158, 1373, 9738, 610, 13455, 269, 1809, 649, 917, 602, 476, 1428, 849, 2882, 476, 280, 865, 602, 693, 835, 1448, 12032, 543, 7004, 4386, 269, 634, 17807, 1223, 711, 2291, 1510, 891, 6384, 563, 3383, 1018, 1281, 713, 723, 547, 798, 609, 519, 3859, 1062, 286, 4270, 267, 952, 649, 2015, 1142, 1297, 540, 713, 5311, 630, 272, 269, 274, 1070, 649, 616, 12777, 3168, 693, 519, 20771, 8953, 540, 1142, 4541, 269, 1924, 267, 10416, 267, 1018, 649, 3812, 1934, 568, 519, 6310, 2203, 540, 519, 3859, 1062, 267, 1759, 593, 8471, 3741, 6829, 998, 2338, 269, 0, 298, 550, 6019, 7027, 723, 3812, 513, 1007, 3381, 827, 519, 5101, 13573, 7457, 10003, 267, 10023, 13573, 779, 25867, 16329, 1670, 20229, 267, 17363, 28224, 563, 10521, 27705, 6520, 4154, 25231, 7410, 3592, 476, 274, 267, 1822, 1296, 2025, 723, 1044, 4362, 1282, 14155, 725, 2059, 519, 8905, 540, 519, 5101, 13573, 7457, 10003, 269, 1879, 789, 941, 1336, 835, 25231, 2280, 729, 5116, 3330, 519, 824, 563, 763, 25231, 7410, 941, 1336, 538, 606, 1858, 540, 519, 661, 321, 2125, 325, 548, 564, 25345, 689, 799, 2185, 824, 17623, 27705, 6520, 11876, 1841, 616, 2907, 1634, 269, 8409, 11876, 1841, 616, 782, 540, 19730, 3615, 267, 5631, 17887, 267, 2645, 899, 5309, 2583, 543, 575, 537, 2471, 267, 15998, 540, 32639, 267, 543, 1507, 3824, 1824, 563, 7212, 15244, 540, 513, 17623, 27705, 6520, 11175, 723, 849, 1044, 1336, 267, 519, 1079, 11876, 1841, 540, 17887, 1336, 538, 476, 1220, 275, 941, 3254, 547, 581, 2663, 982, 519, 13567, 269, 2290, 3069, 568, 602, 519, 9241, 4362, 4154, 25231, 7410, 941, 642, 12067, 17008, 547, 519, 10971, 269, 6271, 568, 602, 789, 949, 723, 1044, 12617, 585, 2922, 268, 15209, 855, 2760, 27366, 563, 12024, 930, 540, 519, 3105, 9060, 267, 519, 25231, 7410, 1185, 711, 1044, 12617, 538, 513, 8486, 269, 1358, 941, 1336, 538, 519, 1283, 31542, 799, 5267, 602, 789, 941, 2901, 4988, 676, 513, 6094, 4494, 540, 3037, 610, 5310, 5116, 538, 513, 9126, 610, 824, 5214, 8708, 269, 634, 1265, 4944, 582, 6013, 693, 519, 3723, 540, 1970, 855, 12725, 7986, 14629, 799, 4352, 621, 568, 930, 1259, 24654, 2221, 267, 1131, 723, 1044, 1454, 6251, 547, 519, 4262, 538, 519, 27705, 6520, 563, 763, 25231, 7410, 723, 1044, 4080, 547, 519, 3345, 5101, 13573, 20840, 518, 543, 538, 1813, 1576, 789, 786, 581, 10294, 7066, 5501, 896, 519, 7066, 5501, 2920, 563, 21581, 676, 13573, 6019, 7027, 454, 2421, 27813, 2725, 523, 454, 296, 4076, 1044, 25640, 2825, 10386, 856, 593, 18630, 476, 277, 585, 519, 2250, 1906, 4374, 269, 11554, 538, 606, 1858, 540, 519, 3135, 609, 606, 8626, 27274, 10053, 5834, 540, 22884, 540, 1114, 5712, 267, 1250, 2816, 814, 1044, 547, 1118, 2386, 602, 972, 568, 513, 9836, 4640, 540, 10386, 538, 1747, 543, 547, 5968, 621, 547, 3025, 20857, 856, 972, 267, 865, 602, 649, 1205, 513, 1434, 4605, 540, 519, 2825, 2175, 693, 543, 4478, 519, 3135, 2066, 519, 1082, 1114, 942, 5712, 799, 4718, 3425, 29227, 713, 5251, 563, 4415, 865, 1082, 942, 5712, 6719, 267, 543, 609, 971, 513, 3099, 540, 1114, 4183, 2010, 267, 519, 2596, 2832, 540, 519, 10386, 4640, 814, 1044, 547, 3489, 5439, 689, 1142, 7121, 540, 4183, 630, 323, 3558, 267, 8486, 267, 8559, 585, 16025, 2022, 267, 3092, 1070, 543, 689, 1142, 1974, 269, 901, 4992, 3551, 267, 855, 538, 2259, 7140, 856, 547, 581, 3833, 7294, 256, 18641, 267, 519, 946, 540, 2983, 7240, 6176, 7010, 630, 31043, 264, 547, 5619, 519, 4087, 540, 2934, 543, 2825, 5439, 568, 513, 5458, 948, 538, 1250, 4305, 267, 1247, 593, 21935, 5544, 1673, 908, 540, 20341, 568, 1373, 1031, 547, 3715, 547, 799, 1974, 513, 4183, 12851, 563, 1432, 519, 1004, 2713, 538, 1142, 540, 891, 1114, 5712, 693, 519, 3135, 1107, 27705, 6520, 267, 11635, 6520, 267, 4936, 543, 3564, 1107, 1131, 723, 1185, 538, 1455, 568, 513, 991, 585, 1569, 547, 513, 1434, 1216, 3761, 269, 2201, 7997, 476, 277, 267, 713, 991, 814, 2451, 922, 1665, 593, 519, 7298, 22884, 538, 519, 1106, 540, 693, 2547, 2947, 19401, 269, 28243, 616, 2141, 606, 3078, 1265, 585, 24085, 607, 789, 1419, 6556, 818, 974, 30440, 799, 723, 1044, 12628, 3352, 4958, 4471, 341, 2406, 1524, 1018, 666, 581, 1360, 2620, 3889, 267, 543, 585, 606, 7025, 16329, 6048, 789, 616, 1100, 1447, 4241, 563, 10303, 19401, 616, 25653, 1318, 1524, 547, 3914, 519, 1216, 3349, 267, 2175, 540, 8628, 1216, 8421, 3101, 666, 581, 3812, 538, 519, 1134, 5377, 267, 543, 538, 713, 5135, 6954, 630, 3570, 21740, 264, 1604, 519, 15059, 540, 5214, 2030, 3788, 971, 607, 3574, 267, 5452, 543, 3762, 267, 543, 540, 7786, 1519, 22404, 267, 21746, 543, 649, 5271, 2812, 568, 7409, 1243, 269, 13518, 540, 1250, 942, 538, 18630, 476, 277, 814, 1044, 6170, 4180, 602, 6190, 5439, 723, 1044, 3144, 689, 519, 19401, 865, 602, 649, 666, 1118, 519, 1034, 540, 713, 1761, 585, 1434, 5214, 11091, 269, 594, 723, 849, 1044, 14139, 606, 11160, 518, 547, 16590, 1524, 998, 519, 3623, 1540, 909, 19401, 1354, 741, 26995, 568, 13175, 267, 547, 3715, 875, 2620, 789, 616, 269, 898, 779, 2731, 1271, 602, 19401, 616, 14155, 730, 9108, 267, 865, 2348, 713, 1344, 693, 519, 1376, 2337, 547, 1544, 519, 1655, 1259, 547, 798, 713, 563, 1103, 1840, 547, 13557, 5439, 267, 799, 786, 581, 9268, 1210, 513, 29404, 7382, 267, 594, 723, 1044, 2921, 1395, 14663, 5439, 689, 519, 19401, 269, 1452, 616, 1279, 267, 6094, 7161, 540, 11159, 2759, 19794, 689, 519, 6534, 3444, 16687, 540, 519, 1134, 267, 543, 666, 581, 21845, 547, 2626, 2055, 827, 519, 1259, 538, 799, 519, 1570, 3330, 519, 1134, 3357, 547, 18645, 269, 594, 723, 849, 3144, 1395, 14663, 5439, 689, 513, 1297, 540, 1360, 2620, 546, 9662, 799, 2759, 2066, 519, 7187, 851, 540, 18630, 476, 277, 269, 1284, 4126, 602, 891, 949, 2270, 14947, 799, 1131, 2995, 721, 1018, 519, 18508, 729, 899, 538, 519, 9962, 5251, 693, 519, 942, 519, 546, 9662, 941, 1930, 269, 4595, 649, 917, 602, 519, 546, 9662, 1106, 513, 5311, 267, 609, 2663, 4936, 546, 9662, 2759, 998, 4505, 11635, 6520, 3283, 267, 3168, 693, 519, 14947, 689, 1142, 1974, 814, 519, 1761, 547, 2995, 721, 875, 519, 1604, 729, 4657, 998, 942, 1107, 543, 666, 2303, 2436, 621, 729, 3425, 945, 941, 4657, 621, 267, 585, 1383, 676, 5969, 1524, 519, 4478, 4054, 585, 6694, 2244, 563, 23682, 5112, 24380, 16303, 26337, 9060, 11285, 3967, 823, 5062, 8867, 880, 11339, 827, 513, 6093, 1554, 4393, 9060, 593, 519, 5101, 13573, 7457, 10003, 14155, 725, 912, 288, 6093, 1554, 630, 604, 971, 513, 3364, 6818, 538, 519, 9060, 19970, 264, 5161, 540, 21945, 1472, 476, 279, 600, 543, 20604, 538, 519, 13557, 9060, 543, 1507, 9060, 602, 723, 1044, 16626, 593, 3135, 519, 1554, 1354, 269, 4495, 27366, 689, 896, 7515, 267, 3297, 23107, 267, 610, 593, 964, 802, 519, 2816, 5956, 563, 4002, 1169, 15456, 3135, 1142, 4183, 630, 7945, 607, 513, 8486, 267, 546, 3558, 610, 2022, 23346, 264, 568, 2016, 513, 2189, 1297, 543, 519, 6106, 538, 1346, 2934, 616, 849, 2016, 513, 2189, 1297, 865, 602, 1022, 9060, 16626, 689, 1022, 4494, 540, 1022, 4183, 666, 581, 9678, 269, 634, 4155, 10325, 568, 5258, 883, 936, 476, 736, 10851, 547, 1832, 621, 2241, 2336, 9336, 19670, 9126, 267, 4216, 267, 19943, 540, 9060, 568, 13761, 547, 1118, 2386, 782, 519, 4143, 1344, 568, 3177, 269, 634, 2796, 2338, 1031, 593, 713, 3135, 849, 2270, 513, 18772, 1297, 799, 12211, 547, 1142, 1367, 9125, 6048, 543, 649, 723, 519, 1592, 540, 945, 779, 945, 563, 5629, 15044, 519, 9060, 616, 26693, 538, 543, 28562, 609, 7997, 1297, 267, 2597, 543, 4266, 267, 713, 2337, 519, 9060, 28643, 11875, 773, 1832, 3950, 540, 875, 1454, 1570, 568, 21945, 543, 1373, 9268, 269, 634, 9060, 616, 1287, 9674, 883, 13557, 9060, 630, 2102, 1968, 1570, 264, 543, 1507, 9060, 630, 18034, 4277, 3615, 1040, 634, 1507, 9060, 1131, 7363, 581, 2016, 606, 3606, 1297, 1572, 606, 1843, 1297, 543, 9674, 4470, 593, 1570, 1826, 630, 10090, 958, 8407, 543, 1875, 31475, 1023, 1916, 763, 1985, 4161, 568, 4466, 4859, 2230, 585, 519, 1007, 9060, 2394, 789, 1205, 18233, 269, 634, 4393, 1107, 11067, 267, 15018, 543, 16287, 1107, 568, 1373, 5280, 2059, 676, 938, 10121, 13538, 945, 1810, 1406, 2247, 11067, 2864, 513, 2603, 540, 26151, 1166, 842, 267, 799, 568, 606, 1271, 267, 952, 16625, 851, 540, 519, 3135, 21287, 2336, 9961, 519, 1554, 649, 849, 798, 1239, 7127, 267, 865, 1169, 6221, 602, 779, 1044, 9268, 1519, 1507, 9060, 814, 547, 581, 6592, 543, 9411, 5196, 519, 3135, 6538, 269, 4706, 1390, 950, 596, 1205, 519, 4960, 547, 6023, 543, 2594, 1945, 602, 779, 711, 1044, 2938, 610, 20109, 585, 5215, 540, 1296, 267, 713, 6126, 16657, 2337, 596, 7639, 519, 18632, 8090, 540, 10203, 7366, 540, 7286, 23690, 3122, 16115, 543, 2436, 789, 2461, 2451, 610, 1318, 17901, 543, 952, 789, 2461, 22905, 610, 711, 630, 16341, 821, 19451, 569, 2219, 594, 729, 10916, 952, 789, 941, 3765, 30514, 610, 711, 1916, 5591, 1079, 2395, 616, 519, 1482, 538, 519, 9060, 19970, 543, 713, 2306, 585, 513, 1390, 2324, 1604, 267, 543, 594, 993, 1360, 3507, 894, 547, 723, 1044, 2016, 519, 4316, 547, 1294, 971, 4763, 540, 1570, 543, 723, 971, 513, 3946, 593, 1909, 267, 865, 7064, 11875, 773, 585, 1818, 803, 2972, 1250, 2816, 865, 1454, 563, 11742, 547, 979, 1753, 1631, 543, 2123, 5031, 568, 3478, 998, 2221, 1510, 669, 6235, 1250, 9241, 9715, 2048, 333, 841, 1148, 685, 630, 1529, 332, 1588, 540, 4556, 569, 3781, 856, 2063, 3781, 1916, 8450, 596, 14182, 454, 313, 821, 476, 277, 540, 519, 5101, 13573, 7457, 4155, 10325, 267, 13883, 2059, 661, 321, 2125, 325, 548, 564, 28818, 267, 814, 3177, 721, 609, 519, 6574, 5834, 540, 15456, 2934, 2943, 2938, 593, 713, 1788, 269, 898, 568, 849, 519, 1034, 13671, 1858, 540, 3818, 12656, 1675, 2534, 602, 594, 723, 2938, 1282, 5176, 12964, 1296, 540, 3695, 20537, 564, 779, 8748, 15456, 6561, 563, 11900, 18944, 543, 5280, 676, 13573, 20341, 25566, 715, 580, 601, 5839, 335, 1667, 517, 8566, 7949, 267, 594, 4076, 1044, 3843, 547, 1205, 547, 17680, 1186, 609, 519, 20341, 5311, 538, 5101, 13573, 585, 930, 1296, 1631, 543, 594, 729, 30590, 950, 6754, 25371, 4280, 803, 547, 798, 930, 16861, 5544, 1673, 908, 540, 519, 20341, 4947, 856, 540, 519, 14155, 725, 593, 18630, 476, 277, 269, 589, 1390, 4316, 585, 803, 547, 1451, 811, 282, 513, 12703, 543, 12050, 4640, 676, 10228, 8862, 525, 16303, 2336, 763, 24085, 2324, 2182, 543, 896, 7453, 942, 25774, 593, 18630, 476, 277, 267, 723, 2907, 20114, 8748, 1919, 269, 2060, 14621, 547, 519, 20341, 267, 519, 9998, 20341, 4857, 865, 2484, 7389, 547, 519, 5664 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5553, 267, 3864, 7060, 9450, 741, 11182, 267, 8420, 5217, 2199, 2950, 543, 25412, 4914, 3656, 1949, 543, 2418, 2390, 873, 269, 1306, 513, 1267, 267, 2757, 3338, 941, 25868, 267, 4654, 26793, 267, 543, 4529, 2144, 10757, 269, 4634, 2221, 267, 971, 2853, 3136, 267, 23344, 811, 5705, 569, 998, 1646, 7341, 543, 1533, 1606, 534, 794, 539, 5208, 269, 4197, 713, 1686, 2488, 2565, 5813, 883, 1946, 7087, 9082, 3747, 6284, 540, 741, 7915, 2924, 547, 1582, 24148, 267, 13190, 267, 543, 1852, 936, 18577, 11182, 780, 27455, 13574, 11429, 543, 12754, 5004, 692, 288, 4295, 3390, 7282, 7087, 9082, 262, 2924, 25856, 1472, 1569, 547, 543, 1852, 936, 2067, 2200, 1336, 1369, 741, 18577, 11890, 269, 32279, 267, 6608, 9886, 598, 947, 687, 547, 29505, 14078, 585, 5599, 267, 19883, 267, 32394, 2481, 4070, 267, 543, 989, 1026, 5350, 1510, 17874, 4299, 7087, 2950, 269, 6270, 2238, 21279, 8134, 267, 24454, 267, 543, 5289, 8171, 269, 3958, 267, 2829, 949, 20912, 16155, 6444, 10643, 547, 7087, 9082, 1813, 547, 24813, 3959, 4031, 267, 17021, 873, 7925, 547, 14226, 543, 7142, 882, 6327, 269, 9182, 267, 14957, 585, 1863, 267, 1991, 267, 543, 5483, 9844, 630, 17025, 2975, 264, 814, 1831, 3844, 547, 7087, 5322, 5001, 269, 674, 303, 2975, 5849, 6209, 6278, 1063, 9746, 9988, 267, 6608, 267, 543, 12936, 2950, 950, 1818, 3664, 827, 6069, 3785, 593, 7087, 3338, 780, 20236, 5937, 20986, 543, 30880, 538, 17423, 5336, 1136, 22948, 692, 763, 1318, 547, 1582, 24148, 2636, 7087, 9082, 547, 11884, 3313, 741, 2797, 4567, 543, 11654, 741, 14227, 1646, 2687, 547, 741, 9821, 267, 5389, 267, 543, 17050, 269, 1717, 267, 8236, 9758, 1582, 24148, 3788, 21792, 1317, 1034, 4182, 32145, 2070, 7087, 6811, 607, 6937, 547, 3084, 16285, 543, 9322, 269, 6736, 713, 4187, 267, 930, 3356, 814, 1044, 1500, 693, 1312, 6469, 543, 3486, 2157, 2509, 9301, 7087, 1582, 3766, 4261, 766, 3889, 543, 5009, 8537, 3609, 6194, 269, 6201, 1331, 6792, 781, 13338, 15024, 14344, 7087, 16278, 936, 22232, 1876, 6927, 543, 4516, 781, 10073, 540, 519, 2136, 8315, 16672, 593, 519, 7126, 540, 7087, 24447, 630, 26685, 6020, 303, 1070, 799, 11363, 1863, 267, 1991, 267, 543, 5483, 9844, 538, 9137, 476, 866, 269, 11048, 267, 8101, 7496, 6414, 267, 8506, 4797, 3646, 547, 2327, 12581, 6041, 543, 3310, 1369, 22257, 5238, 543, 1857, 11407, 780, 29936, 543, 19662, 589, 3650, 692, 28403, 1944, 7087, 9082, 262, 2924, 6799, 3255, 585, 5807, 4264, 1646, 267, 8497, 9265, 267, 7393, 6848, 6043, 267, 543, 5466, 2916, 1689, 269, 16480, 267, 16734, 891, 2640, 19329, 24905, 1782, 11528, 7130, 267, 21365, 31737, 1379, 6384, 267, 543, 4101, 8789, 6386, 602, 28511, 8635, 269, 1635, 2502, 9691, 609, 2013, 2090, 899, 8125, 651, 670, 1409, 5341, 1107, 606, 19191, 6131, 547, 1455, 5370, 543, 7104, 2962, 4171, 960, 3648, 8329, 547, 1620, 543, 21108, 7087, 9082, 262, 2924, 2394, 1200, 2150, 830, 569, 27757, 1107, 1053, 666, 5660, 519, 6988, 540, 891, 2152, 543, 3565, 9797, 547, 5571, 9840, 4478, 28160, 1436, 267, 1964, 3191, 267, 543, 21047, 269, 3414, 11826, 2079, 267, 5188, 267, 543, 5698, 267, 2104, 3401, 1522, 948, 1628, 13123, 2066, 3309, 14218, 4293, 267, 6038, 22338, 519, 1259, 585, 513, 811, 1175, 543, 8537, 2518, 1931, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 6546, 729, 8125, 651, 670, 1409, 5341, 779, 1272, 267, 543, 602, 568, 1018, 621, 786, 2611, 563, 3086, 649, 616, 20494, 1324, 1200, 267, 938, 5234, 4759, 540, 1082, 1296, 267, 938, 26393, 267, 938, 3659, 563, 2171, 616, 782, 695, 2586, 602, 8125, 651, 729, 3170, 958, 13676, 1247, 19482, 538, 519, 17389, 577, 1084, 7322, 32595, 593, 476, 1015, 5437, 269, 2701, 1131, 1100, 3476, 2132, 547, 2285, 1200, 11000, 9709, 585, 602, 12784, 269, 2701, 729, 14324, 689, 713, 1158, 267, 689, 519, 1272, 1352, 5030, 547, 519, 2407, 267, 6028, 3297, 513, 5458, 20704, 538, 862, 976, 1382, 543, 519, 3486, 862, 976, 2146, 563, 9515, 1185, 1500, 513, 2012, 585, 9887, 538, 602, 2146, 2094, 476, 1220, 278, 267, 4466, 513, 1804, 5858, 540, 2828, 689, 513, 2647, 3099, 540, 10080, 267, 9591, 519, 12780, 268, 9743, 3482, 543, 824, 3785, 609, 873, 267, 543, 5885, 1082, 1762, 1004, 676, 12180, 4832, 1153, 3292, 269, 1358, 782, 786, 4413, 1200, 607, 1454, 607, 649, 798, 269, 8125, 651, 2451, 606, 30170, 1665, 1759, 593, 1200, 10058, 7214, 1347, 1143, 320, 543, 2648, 540, 29926, 543, 7521, 563, 2171, 3314, 8125, 651, 670, 1409, 5341, 607, 513, 26393, 540, 1082, 1296, 267, 1354, 1352, 1305, 856, 593, 1200, 2619, 607, 513, 28479, 534, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 29378, 24447, 262, 7126, 257, 607, 851, 540, 834, 303, 27773, 13316, 1315, 5274, 7126, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 796, 2305, 540, 7977, 543, 621, 4957, 519, 3068, 540, 3864, 6214, 11014, 269, 1809, 1018, 1281, 713, 723, 547, 798, 609, 519, 3243, 549, 6953, 2426, 4115, 7276, 286, 2913, 781, 4685, 538, 543, 1265, 856, 2439, 5575, 267, 1577, 781, 2911, 827, 945, 729, 3238, 538, 519, 796, 2305, 540, 7977, 269, 1703, 941, 1082, 2516, 2324, 2509, 713, 3804, 267, 1519, 519, 7969, 2486, 267, 519, 8003, 540, 590, 731, 27091, 267, 519, 3038, 29850, 6554, 540, 30912, 267, 519, 6243, 540, 5842, 3057, 1723, 267, 519, 8003, 540, 24558, 1176, 267, 519, 4936, 6243, 267, 543, 1256, 930, 4914, 2477, 899, 5333, 269, 1452, 2516, 1185, 835, 3364, 538, 1455, 281, 789, 782, 4941, 547, 1711, 513, 8087, 7977, 1141, 3025, 12038, 519, 1482, 1893, 543, 3838, 2147, 9821, 780, 3086, 267, 4952, 3843, 547, 18609, 1896, 1114, 25267, 543, 7239, 547, 2097, 1927, 896, 835, 2229, 269, 2334, 7012, 1405, 2653, 256, 769, 1249, 267, 972, 941, 6266, 540, 2591, 2059, 519, 1259, 269, 2290, 2101, 21677, 729, 519, 3243, 549, 6953, 2426, 4115, 7276, 267, 799, 6417, 2694, 540, 7187, 7977, 693, 519, 942, 269, 634, 10504, 4769, 1405, 1616, 547, 2285, 909, 741, 1379, 267, 865, 789, 10692, 2182, 547, 1832, 1852, 936, 1346, 4525, 780, 3719, 519, 7969, 30280, 941, 5462, 547, 8011, 269, 1358, 6896, 5728, 7239, 267, 971, 607, 519, 12539, 4997, 267, 547, 3262, 741, 5048, 543, 15313, 811, 18793, 269, 1358, 588, 3042, 15148, 1206, 543, 12959, 267, 899, 519, 4583, 11135, 540, 3752, 2536, 3626, 538, 476, 6977, 280, 267, 547, 14020, 519, 3243, 549, 6953, 2426, 4115, 7952, 269, 1656, 7444, 855, 15983, 267, 789, 6591, 2666, 780, 7661, 267, 538, 476, 5908, 272, 267, 519, 5326, 2968, 513, 4641, 269, 634, 1585, 7969, 11182, 941, 5916, 547, 1106, 519, 8003, 540, 7977, 267, 609, 8841, 2506, 28609, 4083, 607, 922, 1101, 4622, 269, 1717, 267, 519, 4339, 7012, 1405, 4625, 936, 2943, 269, 2368, 7969, 18702, 2127, 7283, 3544, 540, 519, 9241, 4646, 10806, 267, 1519, 570, 1370, 3626, 25575, 1729, 1520, 15607, 543, 594, 560, 6319, 267, 1312, 540, 799, 941, 851, 540, 519, 3243, 549, 6953, 2426, 4115, 7276, 780, 1607, 3366, 547, 13253, 1063, 7977, 543, 15212, 6953, 2426, 776, 267, 30740, 3084, 2065, 4606, 1851, 32228, 2103, 2713, 1369, 519, 10504, 781, 10665, 269, 16828, 267, 891, 13253, 1131, 3565, 547, 519, 7771, 543, 2887, 540, 519, 3243, 549, 6953, 2426, 4115, 7276, 1282, 2622, 2782, 594, 780, 3383, 1946, 568, 713, 1271, 585, 721, 2221, 286, 4197, 875, 6082, 616, 4646, 666, 948, 721, 5660, 519, 10848, 540, 3486, 1894, 543, 2686, 4763, 269, 9578, 267, 519, 1650, 540, 519, 796, 2305, 540, 7977, 19595, 721, 602, 950, 1004, 960, 1927, 2509, 513, 1455, 3804, 267, 4376, 568, 2009, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 763, 796, 2305, 540, 7977, 630, 2005, 6501, 281, 5149, 14504, 546, 262, 2005, 26515, 1496, 27376, 16659, 3279, 546, 10972, 16659, 3279, 27474, 331, 10937, 25818, 849, 1634, 607, 519, 20322, 3073, 2939, 334, 630, 2260, 267, 7969, 281, 1496, 5142, 867, 390, 496, 328, 16659, 618, 334, 22049, 1396, 269, 1412, 4910, 30029, 30670, 729, 519, 476, 866, 628, 10601, 2797, 543, 1514, 3350, 602, 8507, 538, 476, 5908, 272, 538, 519, 28051, 540, 1114, 2829, 540, 519, 7969, 18686, 543, 922, 856, 2391, 568, 956, 883, 513, 2582, 1533, 267, 519, 8003, 540, 7977, 269, 27837, 676, 519, 15141, 687, 538, 519, 476, 9264, 271, 338, 543, 476, 8146, 271, 338, 1996, 519, 6364, 540, 519, 6837, 540, 21499, 267, 519, 796, 2305, 1184, 729, 10511, 18469, 676, 519, 4860, 30055, 540, 476, 7277, 279, 267, 543, 6603, 12032, 538, 476, 6942, 272, 1310, 519, 7001, 540, 7507, 543, 922, 25084, 607, 519, 3854, 540, 519, 8003, 540, 7977, 563, 347, 27396, 1218, 1475, 2005, 6501, 2486, 267, 8003, 540, 590, 731, 27091, 267, 3038, 29850, 6554, 540, 30912, 267, 6243, 540, 5842, 3057, 1723, 267, 8003, 540, 24558, 1176, 267, 4936, 6243, 267, 12539, 4997, 267, 3943, 7276, 267, 4414, 1744, 16630, 267, 23826, 1850, 542, 267, 8828, 8136, 267, 2136, 28393, 806, 540, 6239, 7977, 267, 8003, 540, 7977, 2008, 10214, 1310, 476, 6942, 272, 267, 1082, 7969, 10529, 630, 7945, 607, 570, 1370, 3626, 25575, 1729, 1520, 10247, 32228, 2103, 267, 594, 560, 6929, 594, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 9358, 7582, 22723, 13493, 1315, 3778, 1315, 2342, 1315, 634, 22547, 543, 12096, 540, 519, 3243, 549, 6953, 2426, 4115, 7276, 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, 634, 8177, 540, 5303, 593, 10076, 2657, 692, 7072, 912, 20756, 972, 256, 1306, 1647, 1153, 1053, 267, 2029, 4249, 513, 1713, 1909, 538, 707, 2729, 269, 3245, 1514, 2923, 547, 3381, 3756, 267, 16389, 547, 24195, 267, 891, 2645, 723, 1831, 1898, 2694, 540, 875, 596, 5968, 267, 1451, 267, 543, 1404, 269, 1809, 1018, 4523, 950, 1932, 1454, 5496, 942, 6238, 7133, 707, 2790, 1072, 286, 2913, 781, 2263, 713, 1271, 3390, 1927, 2439, 4089, 476, 272, 281, 4197, 24897, 5384, 543, 4706, 12186, 454, 306, 10547, 942, 4016, 547, 519, 2179, 540, 942, 6170, 1210, 3059, 3457, 971, 607, 5904, 267, 14342, 267, 16389, 267, 543, 751, 4582, 2888, 269, 2755, 2029, 3091, 3875, 2640, 899, 1565, 3255, 543, 9363, 4448, 609, 2828, 267, 7050, 946, 1522, 1291, 547, 2942, 4539, 899, 3207, 18063, 267, 4160, 267, 4965, 267, 543, 4389, 2168, 2534, 780, 7078, 281, 5994, 2348, 8373, 12008, 1317, 596, 6108, 3108, 29957, 998, 17749, 1354, 21557, 269, 2107, 1589, 827, 4743, 14221, 1169, 942, 2576, 3085, 1405, 4431, 3533, 2614, 547, 707, 6835, 269, 1452, 3871, 6542, 1761, 8801, 2360, 540, 7050, 5496, 942, 593, 2790, 8171, 780, 4089, 476, 273, 281, 1215, 6496, 5303, 18748, 3776, 4858, 1231, 888, 2691, 649, 4497, 609, 13819, 267, 1978, 6464, 538, 938, 2634, 616, 4299, 269, 1280, 3236, 267, 22006, 1107, 1419, 1572, 1412, 1492, 1745, 3766, 797, 9449, 262, 1107, 4991, 5950, 1282, 2238, 899, 4730, 2228, 3756, 610, 8391, 15055, 593, 1514, 2923, 9708, 269, 3683, 516, 18910, 593, 891, 2959, 540, 12257, 949, 2014, 8519, 3007, 12732, 267, 15176, 3929, 7939, 267, 543, 1256, 8213, 780, 12244, 281, 8347, 5329, 3950, 540, 875, 1419, 596, 2638, 707, 6049, 2429, 519, 1554, 269, 1411, 1522, 581, 14281, 676, 519, 1297, 256, 9861, 3222, 540, 707, 6208, 568, 519, 1101, 1900, 2509, 5883, 873, 3927, 780, 4089, 476, 274, 281, 17291, 20050, 540, 1133, 11794, 15306, 26402, 454, 2005, 781, 2629, 547, 5431, 4191, 10834, 14432, 3347, 609, 2029, 269, 2368, 2699, 17514, 1331, 7836, 811, 942, 2228, 982, 5497, 267, 7680, 15639, 2589, 950, 8572, 547, 1569, 3457, 267, 10714, 532, 9021, 1813, 547, 10509, 6165, 267, 543, 4743, 2799, 20420, 5103, 3586, 14479, 780, 30206, 281, 9523, 2833, 1369, 707, 1895, 827, 8320, 1141, 2029, 814, 9797, 610, 11874, 12936, 707, 7099, 610, 3232, 13467, 269, 14484, 532, 593, 2123, 2984, 2337, 1628, 6568, 543, 1620, 1472, 713, 1950, 1888, 780, 4089, 476, 275, 281, 11150, 585, 7195, 2331, 15306, 2422, 454, 2414, 2226, 1434, 2790, 1072, 1247, 11981, 782, 519, 829, 802, 2029, 2488, 267, 2015, 7598, 891, 2994, 1384, 265, 5590, 1808, 3853, 585, 3232, 3926, 6165, 630, 324, 3052, 1421, 1100, 11436, 1282, 6980, 994, 265, 21480, 2834, 9397, 2476, 689, 13819, 454, 265, 8073, 11280, 5624, 1863, 689, 5907, 19240, 454, 265, 18918, 538, 12348, 602, 1810, 1405, 4125, 13819, 454, 265, 23340, 1483, 3734, 4296, 3079, 540, 13461, 9003, 593, 5691, 3283, 692, 6962, 912, 22897, 3884, 1405, 20244, 3983, 282, 2705, 267, 922, 936, 2224, 666, 3565, 547, 2790, 1072, 2152, 269, 1635, 14237, 2635, 10509, 6208, 543, 8026, 13533, 4616, 267, 596, 666, 2972, 519, 1655, 3344, 540, 2029, 1247, 17420, 707, 2790, 8171, 269, 5457, 267, 3666, 568, 1883, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 3374, 8738, 560, 2164, 585, 834, 4537, 3570, 4840, 257, 3333, 3570, 257, 9181, 539, 593, 654, 307, 8008, 454, 257, 10521, 476, 1428, 269, 594, 6415, 1530, 534, 18722, 269, 1656, 594, 6415, 1744, 3570, 1869, 523, 267, 9684, 596, 585, 1373, 609, 721, 269, 16690, 2860, 568, 5051, 1373, 1336, 538, 7820, 1004, 538, 513, 1007, 1867, 689, 519, 1977, 9435, 5980, 1631, 2982, 602, 835, 538, 476, 276, 1004, 1373, 8995, 616, 7820, 982, 476, 4649, 543, 519, 2665, 616, 1373, 9571, 693, 811, 4359, 5933, 269, 1717, 267, 952, 1336, 2038, 267, 1082, 2053, 621, 666, 581, 5701, 269, 2290, 540, 938, 9164, 1934, 693, 654, 15674, 729, 8995, 950, 646, 729, 1152, 476, 3607, 1296, 2025, 269, 4270, 267, 646, 1188, 267, 594, 917, 519, 3169, 7389, 269, 5437, 476, 280, 628, 267, 621, 729, 519, 13628, 267, 476, 1220, 277, 269, 2334, 729, 950, 654, 15674, 16073, 19375, 32021, 21840, 1336, 856, 1310, 513, 3935, 22000, 602, 646, 1185, 3942, 835, 3935, 2860, 269, 3571, 2589, 941, 1973, 538, 1010, 22454, 543, 9854, 269, 1261, 15861, 693, 1101, 609, 519, 2589, 646, 2219, 269, 2725, 1373, 519, 6093, 18560, 269, 2494, 267, 594, 6415, 711, 2469, 547, 979, 547, 519, 4387, 543, 1175, 960, 856, 9875, 267, 855, 1010, 7385, 1500, 1864, 979, 547, 519, 4387, 267, 543, 621, 729, 4362, 543, 5701, 269, 1261, 781, 1851, 1346, 896, 476, 4649, 547, 1205, 519, 4576, 269, 1261, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 763, 8177, 540, 5303, 593, 10076, 2657, 257, 607, 851, 540, 834, 28765, 22723, 13493, 1315, 23675, 1315, 5769, 1299, 4317, 9012, 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 ]
[ 519, 14541, 711, 593, 519, 27576, 269, 17179, 519, 12718, 2212, 267, 2973, 910, 1575, 519, 2212, 543, 22902, 8188, 543, 6569, 519, 8141, 11690, 269, 19024, 519, 25059, 693, 519, 1283, 4666, 4099, 630, 307, 17584, 264, 543, 1159, 792, 930, 31294, 1472, 519, 8728, 540, 519, 25059, 547, 13021, 621, 543, 26763, 1055, 519, 4430, 269, 2422, 513, 1007, 2212, 575, 21488, 267, 3514, 519, 2212, 543, 18165, 621, 1524, 269, 19024, 519, 2599, 865, 602, 519, 26561, 616, 20005, 543, 2638, 602, 519, 25059, 568, 1869, 693, 570, 17584, 780, 293, 650, 596, 536, 675, 12076, 609, 1612, 3530, 514, 547, 519, 4642, 1665, 543, 7696, 621, 883, 519, 11690, 8559, 267, 5305, 519, 1612, 3530, 514, 2394, 621, 2501, 1377, 609, 519, 1283, 540, 519, 11690, 8559, 543, 1224, 1055, 519, 536, 675, 12076, 875, 1454, 1612, 3530, 514, 621, 814, 3144, 269, 1403, 585, 1383, 621, 2982, 476, 1240, 764, 20952, 476, 273, 764, 585, 519, 11690, 8559, 267, 799, 3947, 476, 1626, 764, 799, 568, 519, 4320, 540, 519, 13674, 12068, 780, 2414, 960, 856, 519, 13496, 5223, 267, 1491, 519, 4320, 540, 519, 12718, 267, 5084, 291, 519, 4320, 540, 519, 13674, 12068, 543, 1287, 667, 4353, 22432, 676, 519, 4320, 540, 519, 13674, 12068, 780, 1103, 1250, 1383, 713, 568, 630, 15876, 269, 278, 266, 1626, 8358, 1626, 815, 476, 1556, 269, 5952, 281, 272, 13496, 5223, 780, 2252, 649, 941, 6158, 827, 2185, 3613, 15809, 602, 1131, 581, 519, 13496, 5223, 7229, 267, 855, 609, 513, 1079, 3613, 6593, 519, 13496, 1281, 711, 1376, 2394, 519, 25059, 32195, 519, 9688, 2823, 269, 634, 2953, 1259, 547, 5173, 519, 13496, 5223, 593, 513, 1079, 3613, 6593, 1131, 581, 547, 2268, 689, 519, 1283, 540, 519, 9688, 2823, 547, 519, 1283, 540, 519, 22902, 267, 1287, 950, 2324, 856, 519, 4320, 540, 519, 12718, 3079, 540, 519, 8482, 540, 476, 7918, 7825, 538, 519, 3830, 267, 596, 1131, 7696, 519, 2823, 4463, 267, 855, 585, 519, 3483, 649, 616, 703, 2056, 621, 568, 4023, 547, 2489, 1125, 602, 519, 9688, 2823, 568, 476, 2004, 260, 540, 519, 1259, 909, 519, 8482, 1775, 4318, 269, 476, 2767, 7825, 689, 519, 1283, 540, 519, 476, 7918, 7825, 8482, 269, 769, 713, 1259, 519, 13496, 5223, 649, 8452, 693, 4505, 1131, 581, 10300, 1386, 1775, 4318, 269, 3079, 540, 5111, 476, 1321, 281, 272, 621, 1131, 581, 476, 277, 281, 272, 269, 2201, 513, 1079, 3613, 6593, 713, 568, 1572, 519, 22621, 13496, 5223, 563, 1892, 17497, 476, 273, 269, 6858, 270, 276, 692, 1012, 9523, 898, 2439, 303, 3326, 692, 2710, 596, 899, 7763, 334, 25897, 17040, 286, 6904, 2319, 798, 596, 899, 2496, 1892, 476, 1109, 312, 600, 21036, 454, 1892, 476, 1109, 295, 25352, 454, 1892, 476, 1109, 291, 1075, 10620, 454, 1892, 476, 1109, 288, 3064, 328, 807, 454, 1892, 476, 1109, 306, 15120, 25431, 454, 1892, 476, 1109, 298, 26774, 454, 1892, 476, 1109, 5591, 16930, 12243, 454, 1607, 3542, 814, 476, 271, 811, 2055, 563, 24342, 454, 307, 10933, 288, 631, 4932, 21612, 454, 302, 19520, 12267, 692, 2162, 14349, 476, 4905, 11219, 592, 692, 18128, 757, 454, 2467, 616, 1100, 14232, 2621, 454, 1432, 781, 1715, 454, 5591, 1715, 27294, 0, 258, 476, 15876, 6812, 630, 15893, 2020, 1704, 267, 3374, 279, 630, 572, 1203, 8696, 8536, 1614, 4627, 15823, 32732, 264, 568, 606, 1256, 2947, 1673, 580, 1080, 12432, 1297, 1739, 476, 15876, 6872, 543, 18631, 476, 15876, 6795, 269, 769, 3621, 10035, 267, 621, 568, 2854, 607, 476, 272, 269, 278, 3374, 279, 6398, 476, 10441, 269, 634, 2040, 540, 922, 9704, 568, 476, 2190, 269, 898, 814, 513, 2698, 540, 476, 275, 6305, 2188, 543, 476, 1626, 2318, 16975, 269, 1703, 616, 476, 276, 267, 13301, 2318, 9981, 630, 1575, 547, 476, 15876, 6812, 264, 602, 616, 5266, 6305, 547, 476, 15876, 6812, 780, 1012, 9978, 3601, 692, 1892, 1772, 11788, 286, 3143, 454, 1892, 7089, 26027, 4634, 454, 1892, 7089, 3259, 476, 276, 454, 1892, 5681, 540, 6226, 1080, 476, 2190, 454, 1892, 7913, 17848, 476, 277, 692, 1012, 8745, 692, 14112, 2012, 476, 1704, 8536, 476, 3374, 279, 11157, 8696, 8536, 1614, 4627, 15823, 32732, 692, 1012, 3502, 566, 692, 26199, 10035, 476, 272, 269, 278, 3374, 279, 6398, 476, 10441, 476, 1704, 269, 3374, 279, 6398, 476, 9818, 692, 1012, 11788, 16748, 1436, 540, 476, 15876, 6812, 692, 28269, 16748, 1436, 476, 273, 6398, 476, 274, 6398, 476, 1556, 6398, 476, 28091, 692, 4467, 22683, 1297, 454, 18850, 3307, 11790, 11192, 11790, 7101, 673, 28911, 3799, 264, 476, 275, 11192, 1297, 540, 3982, 6305, 2188, 3852, 358, 3799, 264, 476, 275, 11192, 1297, 540, 6305, 2188, 2234, 3799, 264, 476, 15876, 6812, 8605, 540, 519, 3982, 6305, 2338, 18494, 3799, 264, 476, 272, 16849, 519, 26027, 540, 3852, 358, 3799, 1070, 971, 602, 18494, 3799, 264, 815, 11196, 272, 264, 394, 358, 3799, 264, 13179, 3799, 264, 476, 272, 16849, 281, 476, 272, 267, 952, 562, 814, 606, 1256, 1297, 540, 6305, 2188, 630, 663, 568, 4009, 1863, 264, 6567, 272, 267, 952, 562, 814, 606, 9642, 1297, 540, 6305, 2188, 630, 663, 568, 4009, 1863, 264, 476, 271, 267, 952, 562, 814, 513, 16302, 6305, 3815, 3852, 505, 3799, 264, 476, 271, 16849, 2845, 9638, 264, 952, 562, 568, 513, 1379, 533, 330, 540, 1022, 6305, 533, 630, 1721, 1022, 737, 13843, 476, 272, 1070, 3116, 7024, 476, 271, 692, 763, 6305, 26458, 540, 476, 1704, 267, 3374, 279, 568, 476, 273, 6398, 476, 274, 6398, 476, 1556, 6398, 476, 28091, 269, 4595, 621, 814, 513, 2698, 540, 476, 275, 6305, 2188, 267, 476, 1704, 267, 3374, 279, 568, 513, 12432, 1297, 780, 1012, 6555, 30583, 540, 476, 15876, 6812, 692, 272, 267, 476, 273, 267, 476, 274, 267, 476, 277, 267, 476, 1556, 267, 476, 2420, 267, 476, 3451, 267, 476, 5780, 267, 476, 28091, 267, 476, 276, 2918, 267, 476, 4281, 280, 267, 476, 14991, 279, 267, 476, 29579, 274, 267, 476, 276, 4281, 277, 267, 476, 279, 6858, 280, 267, 476, 15876, 6812, 692, 1626, 16975, 692, 4634, 16975, 476, 279, 476, 279, 476, 275, 476, 275, 454, 13707, 6555, 30583, 5681, 540, 6555, 30583, 1325, 1172, 582, 5681, 26018, 3799, 264, 476, 1626, 11192, 1297, 540, 519, 2318, 16975, 540, 562, 21566, 3799, 264, 476, 23884, 1626, 5681, 540, 782, 519, 2318, 16975, 540, 562, 521, 3799, 264, 476, 18684, 6812, 5681, 540, 519, 1697, 2318, 16975, 540, 562, 589, 3799, 264, 476, 26801, 277, 16849, 519, 2040, 540, 16975, 630, 17385, 3799, 4297, 5258, 676, 519, 2698, 1297, 540, 16975, 630, 16483, 3799, 4297, 717, 3799, 264, 476, 14530, 269, 4037, 16849, 519, 32671, 3597, 540, 519, 1587, 540, 562, 16975, 670, 3799, 264, 476, 278, 269, 25134, 6321, 16849, 519, 2698, 1297, 540, 16975, 630, 16483, 3799, 4297, 5258, 676, 519, 2040, 540, 519, 23483, 540, 1142, 16975, 692, 763, 1297, 476, 1704, 267, 3374, 279, 666, 581, 5258, 676, 476, 1626, 2318, 16975, 630, 719, 540, 799, 476, 279, 616, 1256, 267, 543, 476, 279, 616, 9642, 1040, 634, 2040, 540, 891, 16975, 630, 12248, 532, 476, 1704, 267, 3374, 279, 264, 568, 476, 4343, 267, 28318, 267, 519, 3328, 568, 476, 273, 267, 4391, 277, 780, 1012, 4033, 25226, 12793, 630, 333, 815, 476, 15876, 6812, 2020, 272, 26420, 3799, 264, 562, 454, 292, 17526, 570, 582, 1304, 25844, 19376, 700, 10033, 11788, 13100, 26420, 3799, 264, 476, 276, 2190, 271, 11192, 1297, 540, 2318, 9981, 711, 3152, 982, 562, 602, 616, 2941, 31870, 547, 562, 18494, 3799, 264, 476, 14530, 271, 9540, 652, 2318, 1297, 971, 602, 513, 16575, 3799, 264, 9881, 350, 476, 272, 630, 7116, 562, 264, 585, 782, 513, 2941, 31870, 547, 562, 12631, 3799, 264, 9881, 486, 476, 1960, 280, 11192, 1297, 540, 22136, 1447, 982, 610, 3160, 547, 562, 678, 273, 3799, 264, 476, 271, 634, 1297, 540, 2081, 562, 666, 581, 6719, 607, 519, 2040, 540, 476, 273, 10945, 692, 2467, 616, 476, 276, 267, 13301, 2318, 9981, 630, 1652, 982, 476, 1704, 267, 3374, 279, 264, 602, 616, 2941, 31870, 609, 476, 1704, 267, 3374, 279, 269, 1656, 972, 616, 5111, 476, 272, 267, 15886, 6305, 2338, 1447, 982, 610, 3160, 547, 476, 1704, 267, 3374, 279, 780, 1012, 6555, 529, 2225, 540, 476, 15876, 6812, 692, 544, 562, 1110, 544, 476, 273, 476, 274, 476, 275, 476, 276, 476, 277, 476, 278, 476, 279, 476, 280, 476, 271, 476, 271, 476, 273, 476, 274, 476, 271, 476, 276, 476, 277, 476, 277, 692, 763, 1297, 476, 1704, 267, 3374, 279, 568, 16883, 676, 476, 273, 267, 476, 274, 543, 476, 277, 780, 1012, 19032, 540, 476, 15876, 6812, 692, 1892, 25226, 454, 1892, 2806, 1495, 656, 692, 2162, 18124, 1043, 3842, 1808, 18304, 692, 1892, 2717, 924, 454, 1892, 6348, 268, 1506, 13607, 26664, 692, 1892, 12384, 5131, 692, 1012, 12476, 7503, 630, 15876, 6812, 2020, 26015, 3590, 10025, 454, 273, 23030, 476, 1911, 9826, 9340, 9826, 8099, 454, 274, 570, 1716, 776, 476, 18891, 13975, 13136, 454, 275, 2372, 15715, 776, 476, 1911, 20065, 3953, 454, 276, 2372, 2435, 476, 9083, 30130, 274, 454, 277, 7354, 776, 476, 18891, 13975, 454, 279, 4239, 531, 476, 275, 1704, 1626, 454, 1015, 27252, 476, 15876, 6812, 454, 1321, 13660, 1712, 31565, 513, 271, 5780, 454, 736, 966, 580, 525, 2711, 476, 26801, 328, 454, 3607, 12476, 3607, 632, 277, 692, 1012, 9978, 9273, 630, 333, 815, 476, 15876, 6812, 2020, 2162, 18527, 692, 333, 9943, 344, 454, 562, 9943, 273, 476, 31003, 1626, 476, 26392, 10619, 476, 7597, 275, 3953, 476, 279, 6858, 3445, 692, 2162, 10406, 692, 333, 383, 371, 344, 454, 562, 383, 371, 273, 476, 279, 6858, 280, 476, 276, 4281, 277, 476, 275, 3451, 280, 269, 276, 476, 31003, 272, 269, 277, 692, 2162, 5890, 9426, 2747, 692, 5500, 454, 562, 273, 476, 22145, 4968, 13932, 476, 276, 2420, 4200, 277, 279, 2190, 6858, 272, 273, 476, 3445, 278, 279, 1704, 31229, 25784, 28803, 9834, 476, 14991, 6872, 280, 271, 3066, 271, 4510, 26605, 3199, 277, 5881, 277, 279, 692, 2162, 715, 628, 17848, 692, 344, 18414, 333, 454, 476, 273, 18414, 333, 476, 14530, 269, 4037, 476, 1839, 269, 8660, 273, 272, 476, 1556, 269, 275, 4281, 273, 476, 278, 269, 271, 3393, 4029, 692, 1012, 476, 15876, 6812, 607, 12166, 5546, 692, 2162, 17781, 692, 18924, 2678, 476, 31003, 1626, 476, 11820, 271, 5038, 476, 280, 269, 275, 4792, 7830, 324, 266, 5400, 692, 2162, 1975, 1877, 692, 11730, 476, 273, 269, 5002, 7761, 324, 266, 1724, 476, 274, 269, 4281, 277, 1839, 324, 266, 6021, 476, 11820, 271, 5038, 692, 2162, 12384, 692, 21920, 815, 562, 454, 32309, 476, 7597, 275, 3953, 476, 274, 269, 25320, 324, 266, 5400, 476, 25090, 5325, 269, 280, 692, 2162, 28116, 692, 21920, 815, 562, 454, 17183, 1858, 476, 272, 269, 3199, 278, 279, 324, 266, 6021, 476, 276, 269, 26631, 9032, 324, 266, 1321, 476, 4968, 5038, 269, 280, 692, 2162, 4982, 10561, 21121, 692, 21920, 815, 562, 454, 32309, 476, 26392, 10619, 476, 272, 269, 19054, 6858, 324, 266, 5400, 476, 5611, 3953, 269, 276, 692, 2162, 10222, 9771, 30958, 692, 21920, 815, 562, 454, 17183, 1858, 476, 276, 269, 25908, 6858, 324, 266, 5400, 476, 277, 269, 14321, 6812, 324, 266, 1556, 476, 15221, 7761, 269, 278, 692, 1012, 15303, 4919, 25300, 12793, 692, 30113, 276, 476, 278, 11738, 279, 1704, 2412, 322, 1228, 3583, 325, 280, 2918, 274, 320, 4200, 278, 276, 4510, 272, 322, 5325, 274, 476, 280, 1321, 3393, 280, 6078, 322, 280, 1789, 20969, 277, 324, 277, 3583, 277, 20623, 6734, 320, 280, 325, 273, 322, 3707, 1321, 2041, 5379, 278, 513, 5780, 320, 276, 3607, 277, 8578, 3583, 273, 276, 1240, 1789, 325, 13078, 271, 4037, 7176, 321, 274, 322, 280, 764, 26116, 9032, 277, 7251, 1960, 1372, 275, 321, 4391, 275, 324, 26237, 6321, 278, 277, 322, 4343, 322, 271, 546, 736, 1372, 277, 4097, 1428, 322, 31404, 5392, 325, 23470, 320, 273, 321, 272, 20623, 866, 325, 8064, 325, 10711, 322, 278, 325, 280, 320, 6344, 1030, 274, 320, 1911, 279, 324, 279, 323, 9032, 8619, 280, 321, 10441, 14625, 7830, 324, 280, 1372, 273, 323, 273, 539, 10623, 5655, 659 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 616, 2407, 269, 14856, 568, 9277, 547, 581, 513, 13533, 2680, 269, 901, 3926, 3091, 513, 1259, 585, 3728, 3548, 619, 547, 581, 13533, 540, 741, 3432, 267, 3850, 519, 2634, 942, 547, 1184, 950, 519, 7181, 568, 4742, 2407, 563, 1692, 621, 3718, 912, 5475, 8380, 1426, 538, 707, 5023, 267, 2322, 707, 23643, 593, 519, 9650, 21459, 1964, 543, 1577, 979, 269, 1684, 711, 5905, 519, 23643, 2394, 707, 5023, 568, 8900, 269, 1403, 9650, 21459, 8279, 909, 267, 596, 616, 4189, 1932, 3728, 256, 19244, 998, 519, 3003, 7594, 563, 2171, 16540, 539, 609, 2055, 1765, 1432, 952, 519, 8596, 941, 3710, 883, 513, 1747, 3901, 610, 1964, 267, 16326, 519, 2597, 540, 519, 23643, 950, 621, 568, 5116, 1524, 286, 16393, 519, 8596, 581, 3710, 883, 519, 26079, 540, 513, 6676, 267, 3850, 519, 3593, 547, 1964, 1010, 17017, 23643, 593, 519, 6316, 540, 519, 6077, 1247, 4189, 286, 9701, 519, 3926, 581, 1628, 1318, 883, 519, 24881, 559, 3294, 286, 1323, 5787, 10309, 610, 5163, 18785, 1223, 3713, 3350, 267, 543, 1769, 267, 3280, 610, 19089, 1131, 1683, 3977, 563, 1607, 1788, 28352, 5907, 1486, 19685, 609, 20798, 267, 606, 1930, 21299, 11418, 1486, 19685, 3760, 269, 1284, 4956, 602, 513, 23643, 1964, 1131, 581, 519, 1034, 2500, 1259, 547, 1449, 938, 1523, 609, 3728, 3548, 619, 269, 769, 938, 1101, 18634, 267, 938, 3403, 729, 513, 11573, 6467, 602, 9571, 2436, 610, 711, 513, 24881, 559, 729, 5116, 5196, 519, 1796, 269, 19243, 338, 630, 12890, 3724, 264, 3769, 513, 264, 513, 1769, 7432, 593, 950, 519, 11573, 729, 711, 20399, 543, 536, 264, 519, 1769, 1025, 9722, 1310, 4557, 7643, 540, 519, 6467, 1373, 10002, 5962, 269, 901, 2034, 3977, 6039, 607, 513, 5365, 547, 3755, 547, 2322, 741, 23643, 1524, 563, 1103, 519, 2034, 18634, 267, 649, 4603, 539, 609, 513, 1979, 23469, 10896, 602, 4957, 689, 3039, 547, 10538, 538, 513, 4557, 29364, 8884, 1247, 519, 11573, 729, 10002, 5962, 269, 901, 8719, 519, 1025, 9722, 3977, 689, 5180, 835, 269, 1284, 849, 3323, 19234, 609, 519, 1106, 540, 519, 23643, 1964, 267, 6236, 519, 2511, 540, 14299, 22496, 26520, 538, 7489, 1426, 14060, 269, 2991, 14202, 532, 519, 1007, 1982, 547, 519, 4604, 543, 15175, 856, 519, 10896, 267, 1034, 3755, 1336, 519, 5955, 547, 581, 513, 2370, 1932, 11029, 563, 1103, 2663, 30384, 267, 649, 941, 3168, 547, 7413, 519, 2450, 540, 519, 3926, 538, 1931, 547, 1685, 3593, 4152, 3544, 540, 519, 18638, 267, 552, 3052, 269, 538, 513, 13962, 269, 3776, 3804, 729, 547, 581, 2111, 547, 1747, 519, 11418, 883, 513, 1507, 6456, 4216, 267, 609, 519, 10700, 3804, 540, 6220, 782, 540, 519, 4773, 883, 519, 23643, 1964, 8708, 3294, 269, 4635, 513, 4130, 3694, 4580, 267, 649, 941, 2111, 547, 11741, 519, 3926, 30140, 269, 9208, 13622, 1575, 5911, 729, 849, 8719, 609, 25182, 26781, 10814, 267, 799, 4847, 519, 23643, 1964, 547, 4827, 538, 782, 8846, 609, 2463, 547, 519, 20798, 4604, 563, 8448, 23937, 3769, 513, 12450, 267, 799, 729, 5116, 883, 519, 1796, 543, 1472, 519, 10896, 269, 901, 5280, 547, 1711, 513, 811, 7856, 267, 27556, 16657, 689, 519, 10896, 2429, 519, 1106, 269, 15775, 547, 713, 1448, 4847, 721, 547, 798, 513, 811, 3593, 4152, 538, 1514, 5054, 9789, 12904, 941, 6456, 267, 543, 519, 3926, 1223, 581, 7318, 585, 32636, 563, 1103, 938, 3803, 6881, 18634, 267, 649, 19557, 5702, 547, 519, 5796, 540, 938, 512, 22246, 543, 8045, 513, 1906, 2242, 267, 1519, 912, 268, 17006, 513, 5679, 984, 799, 2636, 519, 3593, 547, 1852, 519, 1025, 9722, 8515, 540, 519, 10896, 454, 268, 17797, 618, 540, 519, 3009, 547, 1118, 519, 1025, 9722, 811, 540, 513, 2571, 13942, 950, 1305, 547, 3500, 3432, 563, 268, 10318, 1456, 519, 3328, 942, 3144, 1063, 17486, 547, 581, 24369, 7643, 267, 3009, 729, 14661, 547, 2992, 713, 563, 268, 634, 3382, 540, 519, 3926, 729, 1500, 538, 606, 32630, 3109, 5068, 267, 1247, 519, 5377, 3788, 6037, 1075, 550, 538, 1931, 547, 2070, 519, 3977, 1769, 563, 14818, 532, 11473, 543, 1230, 7501, 454, 2026, 938, 3593, 4152, 2982, 267, 972, 616, 811, 21448, 540, 4152, 649, 1131, 899, 547, 798, 547, 1118, 9650, 21459, 14568, 256, 2986, 1576, 267, 3478, 519, 3334, 607, 1507, 607, 2009, 786, 581, 513, 2178, 3815, 538, 2104, 32636, 267, 799, 649, 3494, 666, 581, 12913, 609, 1732, 2694, 538, 5663, 1184, 269, 0, 25200, 281, 27285, 20540, 281, 27286, 1607, 1449, 5161, 540, 476, 276, 2110, 2626, 2055, 267, 476, 1015, 2110, 1557, 2055, 267, 543, 476, 272, 630, 1993, 476, 274, 264, 1557, 3584, 563, 14112, 8382, 5999, 454, 272, 269, 1548, 18781, 1655, 6257, 519, 2826, 338, 262, 10182, 4724, 6215, 665, 636, 888, 273, 269, 1548, 6221, 1705, 5260, 1137, 21102, 689, 6215, 665, 636, 888, 274, 269, 7316, 729, 6215, 665, 636, 950, 646, 11402, 1776, 23071, 888, 275, 269, 1548, 18781, 568, 1031, 547, 4766, 6215, 665, 636, 781, 3659, 519, 23071, 888, 276, 269, 3807, 3544, 540, 5800, 4911, 739, 334, 267, 6215, 665, 636, 729, 30870, 676, 799, 540, 519, 1739, 912, 14112, 4828, 5999, 454, 272, 269, 9181, 6215, 665, 636, 781, 5872, 609, 519, 12284, 540, 519, 21896, 563, 273, 269, 8745, 693, 2547, 835, 540, 519, 3681, 1373, 2808, 676, 6215, 665, 636, 1247, 646, 729, 538, 11785, 563, 274, 269, 3848, 476, 272, 5956, 609, 6215, 665, 636, 538, 25429, 32108, 269, 1215, 568, 519, 8225, 11662, 4330, 888, 275, 269, 5489, 841, 6215, 665, 636, 781, 1101, 7237, 609, 555, 773, 1407, 543, 6512, 1080, 269, 9181, 875, 519, 2278, 856, 342, 26860, 513, 19266, 622, 563, 276, 269, 1215, 1705, 6215, 665, 636, 781, 19539, 1689, 607, 519, 1975, 2001, 14059, 15729, 24125, 888, 277, 269, 14674, 930, 540, 6215, 665, 636, 781, 4505, 16831, 1137, 269, 6904, 10935, 729, 1031, 585, 713, 1007, 2250, 830, 888, 278, 269, 31701, 17165, 543, 30627, 2968, 2152, 585, 6215, 665, 636, 269, 5489, 841, 693, 2547, 835, 610, 1079, 1919, 6215, 665, 636, 1705, 538, 1931, 547, 14867, 891, 1919, 563, 279, 269, 9181, 6215, 665, 636, 781, 7552, 547, 20844, 22513, 663, 14162, 563, 280, 269, 9181, 519, 2621, 11402, 676, 6215, 665, 636, 5612, 1310, 8977, 532, 689, 8478, 563, 1015, 269, 1548, 568, 26056, 6215, 665, 636, 781, 2078, 609, 1010, 4651, 286, 1215, 568, 3627, 6215, 665, 636, 4330, 888, 2237, 606, 1557, 585, 21450, 540, 519, 1739, 3584, 912, 13625, 13445, 476, 272, 454, 4002, 1896, 14026, 6215, 665, 636, 729, 5185, 609, 1004, 945, 3771, 321, 1819, 2085, 2025, 4978, 543, 22530, 1431, 269, 7994, 693, 2547, 1614, 13685, 267, 2491, 519, 3661, 610, 22530, 819, 267, 543, 875, 621, 729, 17411, 676, 6215, 665, 636, 269, 9894, 6215, 665, 636, 3801, 547, 13599, 519, 1004, 610, 1450, 873, 547, 3494, 1018, 789, 4941, 547, 3494, 538, 1931, 547, 1832, 519, 4708, 610, 4688, 3068, 286, 6904, 568, 519, 1034, 4122, 4371, 31605, 286, 1215, 1223, 6215, 665, 636, 18609, 519, 1004, 540, 519, 5168, 888, 13625, 13445, 476, 273, 454, 2750, 8533, 519, 4044, 1049, 2645, 1031, 538, 6215, 665, 636, 781, 942, 269, 14424, 543, 4334, 873, 547, 2645, 1031, 476, 1911, 1296, 1354, 543, 476, 1911, 1296, 1310, 269, 1548, 941, 519, 1034, 1713, 9283, 286, 1548, 7405, 1705, 711, 1689, 286, 1548, 7405, 616, 1869, 538, 946, 2221, 888, 13625, 13445, 476, 274, 454, 303, 29521, 2408, 538, 1585, 2694, 540, 519, 1650, 269, 9181, 538, 1469, 693, 2547, 1079, 8320, 538, 799, 6215, 665, 636, 729, 21947, 676, 31503, 1247, 593, 1010, 22116, 269, 4746, 1865, 824, 8100, 1500, 538, 519, 1433, 602, 9305, 547, 31503, 610, 2147, 2516, 563, 1607, 3296, 3568, 476, 280, 2764, 1913, 454, 26140, 269, 476, 275, 3817, 693, 476, 4968, 1913, 829, 2985, 264, 0, 347, 292, 4582, 566, 1475, 272, 267, 280, 7830, 544, 630, 277, 267, 275, 4391, 10264, 10245, 19064, 668, 29561, 1475, 4391, 273, 544, 630, 272, 267, 13136, 10264, 10245, 347, 19613, 1475, 23873, 12052, 267, 4516, 2008, 347, 12749, 334, 4786, 1475, 301, 4811, 476, 10441, 301, 270, 5881, 2008, 347, 21848, 540, 4224, 1475, 290, 523, 32223, 2008, 347, 14157, 4754, 545, 9095, 11486, 3881, 1475, 301, 4899, 24778, 14525, 534, 26439, 545, 19435, 2008, 299, 331, 836, 16017, 13738, 568, 513, 7823, 538, 7187, 3703, 12052, 267, 4516, 267, 4092, 476, 7918, 5998, 630, 4097, 11465, 264, 22703, 540, 2311, 4802, 593, 519, 9456, 2427, 540, 519, 2212, 540, 519, 3794, 611, 903, 5211, 269, 898, 568, 513, 15027, 4183, 540, 519, 5318, 8832, 24778, 14525, 534, 26439, 545, 19435, 543, 568, 519, 1152, 4087, 540, 19251, 659, 787, 7370, 1500, 540, 25697, 619, 583, 924, 538, 519, 15027, 7997, 563, 299, 331, 836, 16017, 13738, 3893, 922, 2012, 5169, 593, 5239, 476, 278, 267, 476, 4198, 275, 689, 1373, 2282, 24510, 836, 16017, 8235, 267, 799, 4991, 922, 2012, 689, 24510, 836, 16017, 8235, 267, 519, 4102, 10720, 538, 3162, 12986, 267, 799, 568, 538, 2490, 3957, 585, 519, 7404, 8498, 540, 24510, 836, 832, 563, 347, 1607, 2376, 827, 513, 4087, 538, 519, 25181, 540, 3703, 12052, 267, 4516, 568, 513, 20839, 269, 1411, 666, 948, 9504, 676, 9750, 621, 269, 347 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 883, 2565, 18125, 540, 1942, 8051, 543, 1942, 1532, 523, 24674, 2079, 269, 22034, 891, 2645, 4140, 5534, 569, 16877, 10909, 899, 30059, 18329, 20668, 547, 6330, 1950, 1870, 5054, 4111, 1836, 269, 6787, 7231, 609, 865, 2130, 6075, 6788, 267, 14556, 4328, 6735, 267, 9687, 9431, 10850, 267, 610, 26688, 6639, 7760, 267, 17117, 540, 1942, 8051, 543, 595, 10621, 28382, 2413, 16904, 609, 16832, 9604, 5827, 540, 27548, 4264, 8013, 5383, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 299, 25893, 8863, 2969, 24639, 13048, 18306, 454, 7093, 14083, 27148, 7797, 1210, 8865, 5530, 454, 7093, 17800, 18329, 20668, 568, 7680, 513, 2362, 3747, 267, 799, 814, 8507, 547, 519, 17418, 540, 5234, 547, 7561, 2347, 519, 9753, 269, 634, 2754, 779, 11038, 267, 18103, 1359, 270, 4537, 6235, 267, 19833, 270, 15812, 7566, 13623, 616, 9991, 3297, 607, 513, 1267, 540, 513, 5458, 27614, 540, 9753, 269, 13018, 267, 519, 8257, 540, 18103, 1359, 543, 1744, 6235, 4972, 543, 519, 22802, 5004, 4972, 616, 12946, 519, 13557, 540, 519, 8833, 2094, 267, 7429, 824, 13623, 282, 789, 723, 711, 4607, 1022, 2333, 538, 10986, 269, 634, 6725, 2319, 814, 1044, 9450, 547, 6023, 519, 3747, 1247, 519, 16010, 4972, 568, 18848, 3101, 3297, 538, 7829, 519, 2883, 3157, 543, 3252, 269, 634, 6355, 10029, 4972, 568, 12394, 547, 2953, 519, 3510, 267, 23344, 1373, 3592, 8572, 547, 11574, 519, 7569, 540, 519, 1699, 3510, 630, 2662, 527, 2006, 1299, 20917, 867, 267, 476, 1001, 272, 1916, 763, 1699, 1062, 568, 513, 9786, 7457, 1759, 269, 634, 1062, 568, 1031, 538, 519, 2359, 540, 8569, 911, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 21798, 19098, 543, 8779, 5174, 523, 24674, 5811, 257, 607, 851, 540, 834, 24082, 1299, 18598, 1315, 6355, 9119, 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, 589, 23664, 13895, 15232, 18103, 1359, 623, 14040, 3245, 513, 10871, 17434, 692, 296, 5063, 1185, 606, 1995, 19280, 16741, 689, 513, 2199, 4745, 2282, 803, 602, 2451, 803, 1312, 993, 4310, 543, 21616, 269, 2311, 1101, 16145, 267, 741, 2228, 10624, 6743, 9621, 267, 855, 2370, 1705, 594, 917, 602, 519, 1184, 540, 11093, 606, 1931, 1131, 2490, 856, 547, 581, 3833, 519, 7045, 780, 9336, 942, 594, 1572, 267, 594, 3893, 513, 5401, 3210, 267, 799, 594, 7620, 3576, 607, 513, 1434, 1129, 269, 1717, 267, 4571, 3118, 998, 1250, 1931, 267, 972, 1131, 2141, 581, 513, 6727, 23249, 4553, 676, 17409, 543, 669, 2660, 538, 519, 4282, 1354, 594, 1185, 547, 10956, 8885, 269, 22682, 267, 789, 941, 2901, 1053, 1753, 585, 519, 4832, 610, 2324, 513, 851, 6066, 2816, 267, 799, 3884, 1405, 8209, 3983, 267, 4849, 585, 519, 1249, 602, 621, 8604, 796, 2889, 32216, 693, 2053, 780, 5194, 3364, 594, 8068, 729, 519, 6059, 6765, 942, 267, 799, 729, 9846, 1305, 1063, 476, 3393, 3764, 547, 606, 5662, 1310, 11093, 519, 1931, 269, 2755, 594, 1174, 602, 1919, 666, 1491, 930, 942, 267, 2523, 1282, 11112, 3108, 267, 2221, 781, 6765, 3357, 4505, 982, 4397, 1107, 1152, 476, 736, 3764, 2663, 256, 4014, 594, 15874, 519, 2656, 3028, 267, 594, 7948, 1405, 948, 855, 1745, 14221, 827, 2436, 1250, 16741, 1131, 581, 4712, 538, 971, 513, 2110, 2179, 540, 942, 780, 2026, 621, 5828, 856, 267, 1250, 12194, 941, 20582, 269, 1879, 594, 8118, 519, 4216, 267, 594, 1336, 602, 4352, 519, 1283, 4494, 540, 10381, 543, 547, 25940, 7902, 11273, 1175, 5386, 267, 519, 12933, 543, 5377, 6106, 941, 1869, 521, 690, 4445, 543, 896, 322, 10541, 267, 3592, 899, 3694, 30077, 532, 3079, 540, 513, 5743, 6853, 2650, 269, 10261, 1652, 547, 2161, 267, 594, 729, 25922, 780, 8601, 782, 891, 2152, 267, 972, 616, 513, 7008, 540, 2318, 3344, 4502, 4304, 269, 17616, 267, 519, 5234, 729, 7874, 543, 3839, 2429, 938, 4205, 267, 1256, 952, 789, 26218, 3318, 1143, 693, 2053, 269, 19627, 267, 2094, 741, 5777, 941, 10097, 267, 594, 4769, 1405, 1745, 1932, 13347, 827, 2348, 547, 7662, 513, 10682, 610, 2307, 585, 513, 32479, 630, 6518, 789, 1178, 19290, 3177, 6393, 1103, 5758, 267, 1934, 781, 875, 594, 1131, 4766, 1250, 2949, 27742, 3823, 713, 1880, 16741, 10661, 281, 2942, 269, 1306, 5561, 267, 649, 1616, 11007, 267, 2298, 1426, 267, 12905, 5838, 625, 267, 543, 2312, 2792, 1107, 2609, 602, 19890, 14201, 1405, 1459, 1282, 1250, 2487, 3643, 269, 2334, 1373, 1767, 267, 3025, 19262, 2034, 8458, 267, 865, 5310, 2104, 9753, 786, 6556, 1732, 2164, 269, 769, 1022, 2013, 267, 952, 596, 6430, 547, 2285, 873, 513, 2119, 267, 3314, 547, 1832, 707, 6788, 538, 2638, 267, 543, 6148, 4688, 3054, 519, 8373, 540, 3257, 824, 4247, 1247, 7996, 585, 707, 7594, 269, 0, 2237, 513, 1483, 3734, 1650, 3838, 676, 2576, 538, 513, 14703, 8468, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 281, 3097, 14881, 723, 6404, 8039, 540, 713, 1747, 269, 898, 781, 15069, 2196, 676, 3214, 1055, 585, 519, 4832, 543, 610, 513, 851, 942, 2816, 1317, 1169, 942, 594, 1289, 594, 1205, 513, 5401, 2626, 543, 3368, 1259, 998, 1250, 1931, 519, 1268, 3081, 834, 3835, 593, 257, 513, 19619, 540, 28617, 267, 1287, 594, 723, 547, 10956, 1250, 1931, 269, 634, 18921, 1540, 942, 585, 6765, 568, 9338, 310, 17751, 306, 476, 3393, 2381, 910, 476, 272, 15590, 269, 4653, 267, 621, 8452, 1369, 476, 736, 1295, 543, 519, 16741, 729, 711, 11273, 8499, 269, 634, 1283, 729, 5386, 267, 519, 1964, 729, 29008, 344, 543, 899, 6632, 256, 672, 3807, 917, 1018, 547, 2503, 950, 10912, 543, 1810, 1405, 798, 4376, 1247, 7996, 1317, 621, 1223, 1397, 909, 476, 736, 268, 2412, 1295, 2038, 563, 1692, 1131, 713, 2689, 581, 4330, 538, 2474, 540, 18941, 888, 16521, 689, 281, 910, 17463, 282, 910, 27168, 3248, 24308, 10640, 763, 1650, 1058, 1331, 281, 3097, 268, 18990, 4690, 610, 9644, 281, 4685, 883, 1808, 12348, 267, 4690, 267, 610, 14973, 3871, 3097, 268, 1323, 6397, 4729, 6335, 610, 2502, 4655, 281, 6338, 513, 11541, 2943, 4101, 3510, 610, 14196, 602, 519, 2278, 5185, 269, 3097, 268, 14506, 543, 5813, 281, 1439, 609, 513, 6571, 602, 3091, 513, 1007, 1620, 267, 513, 2631, 540, 2146, 267, 610, 513, 2123, 13414, 267, 1454, 899, 519, 8753, 6537, 538, 8468, 5717, 563, 9359, 519, 1650, 1318, 2476, 269, 1684, 711, 1376, 609, 5220, 899, 476, 834, 5629, 2390, 513, 942, 257, 607, 713, 568, 513, 14703, 2022, 543, 711, 513, 3209, 267, 596, 1058, 849, 2057, 4358, 609, 5929, 5220, 899, 834, 288, 1906, 1296, 3516, 257, 610, 834, 288, 1906, 1296, 1394, 2580, 581, 3860, 269, 0, 898, 729, 513, 6093, 12784, 607, 18749, 3766, 571, 1457, 589, 889, 9445, 22283, 1055, 519, 1668, 267, 18388, 532, 609, 10761, 1310, 513, 13858, 13558, 3014, 1996, 513, 15180, 1647, 1153, 269, 1809, 1200, 17938, 1791, 566, 3533, 5828, 883, 9240, 753, 540, 1928, 950, 1352, 27390, 1200, 21721, 593, 606, 19514, 15429, 540, 2427, 19769, 1175, 8090, 2663, 269, 4173, 2835, 16559, 2066, 519, 31879, 267, 855, 589, 889, 9445, 7948, 1405, 1589, 827, 4376, 824, 982, 519, 31462, 25290, 989, 3415, 32338, 908, 689, 1200, 11926, 21721, 780, 21918, 4771, 2509, 1753, 267, 804, 583, 4221, 1200, 5230, 30618, 267, 589, 889, 9445, 5433, 18507, 585, 2713, 1152, 1079, 7161, 2476, 689, 519, 1153, 269, 2701, 12479, 3564, 4126, 602, 6148, 621, 7012, 1405, 607, 3983, 607, 1352, 2219, 20196, 5310, 1352, 1223, 1869, 32006, 720, 930, 851, 540, 1200, 1554, 269, 2060, 27497, 1540, 4522, 267, 1352, 14593, 1930, 519, 4395, 7450, 267, 2909, 1424, 9887, 585, 1018, 2482, 6619, 780, 15463, 3158, 267, 19626, 267, 1572, 689, 519, 10051, 267, 834, 8702, 1394, 256, 1215, 1705, 519, 2462, 6474, 2490, 856, 8119, 6969, 589, 889, 9445, 1223, 1256, 4431, 267, 2705, 267, 1200, 3068, 733, 9285, 538, 6161, 607, 4166, 607, 1352, 9575, 8289, 540, 1200, 8250, 1929, 4771, 4464, 780, 306, 639, 534, 32357, 547, 1200, 2427, 543, 9900, 5280, 2539, 589, 889, 9445, 5196, 519, 4172, 577, 269, 834, 1432, 5949, 267, 6653, 773, 8119, 1352, 4280, 28663, 267, 2907, 8757, 585, 4672, 24502, 543, 13496, 6512, 1137, 780, 7437, 13719, 24967, 267, 3843, 2182, 711, 547, 1577, 17229, 1134, 909, 538, 1200, 4064, 267, 589, 889, 9445, 22281, 539, 519, 10071, 3544, 519, 1153, 269, 1306, 1200, 3993, 19557, 32348, 267, 8296, 31960, 593, 1200, 2934, 267, 1352, 6785, 972, 729, 1100, 1259, 1472, 621, 1631, 269, 1703, 1131, 581, 1100, 811, 13558, 3756, 585, 3833, 930, 942, 780, 2026, 952, 2542, 1200, 2247, 267, 19626, 1767, 15260, 1005, 569, 267, 834, 10673, 1405, 5855, 1932, 1454, 1318, 1631, 267, 15210, 269, 1284, 666, 1289, 3220, 269, 9995, 619, 547, 2638, 1919, 856, 269, 769, 519, 29291, 267, 594, 3513, 1205, 596, 782, 1305, 909, 1934, 3010, 10501, 1194, 909, 896, 513, 18241, 24120, 609, 519, 2306, 31183, 9079, 788, 871, 16889, 20909, 569, 593, 1200, 21721, 267, 589, 889, 9445, 521, 19042, 7184, 269, 14886, 1185, 2366, 6835, 6998, 875, 1352, 729, 3257, 267, 5356, 948, 609, 6780, 267, 543, 530, 5109, 789, 4769, 1405, 723, 547, 7227, 865, 1279, 2394, 1352, 8120, 547, 519, 2319, 780, 10190, 3357, 513, 5048, 689, 16888, 267, 519, 23071, 540, 519, 15852, 2319, 945, 9364, 3254, 1390, 5026, 26206, 1282, 519, 3014, 4505, 602, 1554, 269, 1261, 5206, 267, 834, 20756, 267, 20994, 547, 5873, 827, 519, 8009, 269, 1684, 596, 991, 1022, 948, 609, 8631, 693, 1753, 11489, 596, 2811, 1732, 286, 1656, 30971, 267, 1810, 1405, 19060, 7067, 15323, 10712, 4979, 5103, 519, 6381, 267, 589, 889, 9445, 14452, 267, 834, 12552, 267, 16888, 256, 2334, 1797, 513, 2603, 269, 3807, 2921, 621, 2653, 2221, 267, 855, 2731, 5660, 519, 2709, 3010, 7021, 519, 1739, 2395, 267, 589, 889, 9445, 4121, 20250, 519, 2956, 540, 1582, 13282, 543, 9639, 269, 4173, 2828, 10272, 1419, 267, 8744, 17409, 267, 2984, 267, 543, 19015, 269, 1358, 14478, 9413, 1927, 267, 5129, 4604, 3756, 267, 543, 6854, 1142, 824, 8242, 593, 1362, 10467, 3842, 3381, 7125, 269, 3427, 1740, 2968, 10319, 3785, 2864, 982, 22072, 4247, 267, 14304, 17052, 2059, 519, 1259, 780, 3080, 13566, 14349, 6640, 267, 5176, 1614, 4374, 2022, 2987, 329, 1722, 267, 589, 889, 9445, 6368, 4607, 10479, 689, 3220, 269, 9995, 619, 547, 8897, 1394, 883, 2168, 2534, 7930, 269, 20283, 532, 1200, 10100, 630, 663, 513, 1906, 3903, 1913, 689, 3213, 778, 16399, 1070, 1352, 4956, 547, 6443, 2259, 1586, 780, 17556, 6137, 15891, 13124, 5196, 519, 5432, 6371, 344, 14099, 540, 519, 13558, 2361, 267, 11303, 676, 1750, 1359, 2319, 10863, 267, 589, 889, 9445, 7691, 1945, 7096, 269, 6736, 7508, 2629, 13292, 543, 2853, 1813, 547, 1200, 5945, 267, 1352, 6591, 2484, 811, 3407, 4030, 1373, 521, 14988, 1441, 269, 27919, 585, 8284, 5716, 7231, 609, 7063, 16036, 539, 1369, 1200, 2295, 269, 4793, 1466, 267, 21548, 267, 543, 14696, 3576, 3597, 4514, 982, 2479, 1354, 780, 4517, 1498, 1352, 9327, 1405, 16153, 621, 16175, 2943, 267, 589, 889, 9445, 31205, 11240, 539, 538, 519, 4316, 547, 7198, 519, 5898, 540, 9322, 1851, 1200, 2319, 10863, 2324, 24091, 4724, 11802, 1510, 1200, 593, 519, 2361, 269, 2991, 782, 267, 1272, 3884, 1405, 2141, 827, 18176, 3853, 282, 3006, 267, 621, 781, 849, 827, 1565, 4105, 4245, 1055, 519, 12334, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 28317, 889, 9445, 838, 11712, 606, 21721, 21354, 1247, 4730, 13558, 1310, 3478, 856, 540, 1153, 269, 476, 9717, 519, 2243, 834, 1432, 786, 589, 889, 9445, 1616, 547, 798, 1985, 286, 2580, 568, 834, 2998, 547, 519, 13558, 2361, 257, 513, 4570, 2626, 2496, 303, 1157 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 21918, 518, 6506, 666, 581, 1360, 16168, 267, 543, 1453, 786, 2972, 2542, 873, 543, 2870, 269, 5036, 540, 6586, 2719, 1913, 585, 519, 1453, 547, 946, 538, 741, 9954, 267, 585, 1383, 269, 476, 274, 264, 1879, 519, 1453, 723, 2813, 741, 1929, 518, 6506, 267, 789, 1223, 795, 18443, 909, 519, 3515, 267, 543, 563, 26123, 12266, 3203, 16390, 2290, 540, 519, 2093, 3297, 9147, 12266, 9059, 729, 519, 1360, 1483, 1494, 1890, 540, 1913, 543, 2523, 4408, 269, 4256, 3909, 269, 2701, 1101, 6594, 1148, 538, 519, 476, 4198, 271, 338, 267, 855, 5795, 621, 909, 538, 1931, 547, 1413, 1310, 1200, 1453, 269, 1703, 729, 713, 5863, 8004, 519, 269, 476, 736, 7325, 476, 1220, 280, 269, 3509, 540, 2221, 781, 5026, 941, 13736, 676, 519, 454, 293, 22324, 1929, 518, 6506, 799, 616, 5078, 585, 3214, 543, 1453, 269, 18854, 1399, 543, 16168, 2370, 9954, 1107, 513, 2442, 1106, 540, 6965, 585, 3214, 540, 782, 6502, 256, 269, 1215, 547, 3503, 7799, 518, 6506, 563, 257, 6701, 596, 12517, 3843, 547, 1118, 803, 23279, 676, 1166, 597, 1154, 609, 1018, 568, 1360, 15069, 1175, 1614, 3214, 30528, 593, 1283, 540, 1142, 563, 4029, 7325, 476, 1001, 280, 269, 1284, 3136, 938, 6965, 476, 6200, 3126, 543, 1865, 519, 1929, 15104, 538, 713, 2022, 269, 1411, 666, 1224, 811, 1929, 518, 6506, 1934, 281, 1015, 2372, 597, 5652, 7799, 518, 6506, 585, 8866, 563, 288, 1929, 15104, 568, 513, 1106, 540, 14235, 267, 2356, 14973, 543, 4749, 678, 8775, 267, 538, 2947, 11060, 267, 15866, 269, 898, 568, 713, 281, 20514, 835, 267, 1079, 267, 543, 2947, 723, 1614, 3952, 267, 602, 568, 547, 2161, 1614, 14129, 24424, 267, 1247, 3515, 1614, 543, 2185, 723, 1079, 14129, 24424, 563, 288, 8717, 2663, 267, 950, 594, 1224, 519, 17363, 2107, 339, 714, 6648, 630, 638, 6838, 1657, 1070, 621, 6949, 730, 269, 20233, 519, 6366, 5011, 1524, 543, 1118, 513, 3126, 563, 17829, 538, 1379, 3100, 5462, 547, 4161, 873, 267, 547, 21279, 873, 267, 547, 1118, 1272, 3100, 865, 2481, 333, 2182, 269, 1215, 1705, 594, 1332, 269, 7324, 563, 1321, 2904, 476, 1001, 277, 269, 2817, 7799, 15104, 4303, 476, 1001, 277, 281, 476, 1724, 16168, 9954, 585, 3214, 547, 8661, 269, 711, 1152, 1818, 519, 2278, 2442, 267, 855, 849, 20993, 519, 1929, 15104, 883, 563, 763, 1655, 476, 4037, 16168, 1929, 15104, 9954, 2322, 1927, 538, 513, 2653, 547, 1224, 3898, 256, 1230, 8877, 1806, 540, 930, 4583, 267, 5929, 543, 1187, 333, 5006, 1929, 518, 6506, 269, 1703, 2899, 729, 513, 1126, 538, 8050, 267, 5808, 6068, 547, 1404, 538, 519, 4764, 269, 2290, 1554, 646, 2468, 5529, 267, 1656, 13264, 1010, 563, 296, 723, 1079, 3214, 8885, 543, 594, 666, 1406, 1205, 873, 547, 5957, 10733, 695, 3658, 609, 269, 23985, 596, 666, 1406, 2491, 269, 2353, 596, 666, 798, 568, 1118, 563, 763, 1929, 15104, 2968, 12082, 538, 1453, 781, 3332, 7064, 547, 12624, 3619, 846, 269, 634, 9644, 543, 2653, 5137, 540, 1929, 518, 6506, 29689, 5711, 6965, 2066, 1362, 2000, 1149, 563, 297, 2033, 3243, 523, 29460, 13191, 18917, 5565, 814, 834, 6826, 5765, 13191, 2580, 588, 18732, 14732, 670, 987, 12537, 607, 13191, 267, 4947, 909, 269, 634, 18917, 814, 2907, 13739, 519, 10872, 834, 297, 2033, 3243, 523, 19992, 1849, 2216, 1684, 832, 2668, 11531, 267, 519, 834, 27094, 547, 3367, 257, 6712, 540, 922, 269, 10787, 689, 2241, 5339, 7521, 267, 29460, 13191, 3091, 713, 20443, 14196, 607, 519, 11213, 4641, 540, 3243, 523, 779, 4505, 1272, 267, 543, 513, 6560, 602, 454, 310, 2674, 769, 5259, 19088, 1108, 898, 779, 1261, 330, 622, 602, 1352, 533, 7590, 547, 267, 519, 3504, 5259, 15831, 540, 31783, 267, 519, 7599, 269, 2701, 568, 2404, 609, 9059, 267, 3444, 30030, 269, 661, 653, 338, 12038, 827, 519, 3203, 28087, 5358, 267, 538, 799, 8331, 267, 609, 3486, 4891, 971, 607, 2342, 267, 3567, 543, 4516, 267, 814, 513, 3804, 269, 589, 3625, 321, 13831, 1397, 693, 519, 3703, 7467, 9607, 519, 2243, 538, 922, 2140, 267, 31684, 912, 2005, 779, 607, 952, 3025, 14659, 602, 519, 3214, 1205, 10480, 267, 21039, 543, 12628, 1055, 547, 1153, 676, 269, 1809, 972, 568, 6266, 543, 6266, 540, 960, 563, 22437, 4479, 2488, 513, 8748, 4316, 585, 707, 1126, 547, 2259, 6586, 2719, 267, 1174, 24424, 267, 543, 4603, 609, 1603, 6163, 269, 769, 1880, 267, 1929, 518, 6506, 616, 513, 563, 15124, 4414, 22900, 5261, 29965, 4438, 519, 4937, 30760, 5859, 267, 16907, 529, 9652, 795, 12097, 602, 1010, 6601, 343, 527, 4161, 729, 899, 634, 4279, 18521, 1901, 269, 1656, 1631, 519, 11788, 10579, 666, 30712, 519, 4670, 779, 1034, 4583, 6429, 1107, 1310, 1010, 269, 4033, 1390, 9388, 1331, 476, 2004, 829, 1298, 1055, 519, 808, 13993, 13017, 476, 4968, 20429, 5025, 551, 17300, 29150, 543, 717, 1301, 514, 966, 16343, 5562, 476, 274, 15870, 12829, 31296, 269, 645, 1173, 1622, 593, 28546, 23605, 454, 21918, 518, 6506, 585, 715, 2795, 1399, 5753, 31888, 1280, 27258, 267, 17826, 1280, 8866, 267, 8866, 31888, 267, 8342, 5500, 269, 1879, 596, 1589, 540, 6965, 267, 2979, 949, 581, 519, 2063, 7681, 596, 1118, 563, 27736, 1312, 1762, 543, 2025, 2648, 519, 1929, 15104, 781, 22150, 22565, 10325, 543, 11281, 267, 799, 849, 1118, 621, 513, 1390, 4161, 585, 873, 547, 2119, 1603, 519, 9954, 563, 21812, 779, 14271, 18462, 281, 901, 4015, 540, 24239, 21144, 9954, 676, 15023, 945, 2097, 689, 782, 936, 519, 1158, 8843, 519, 1995, 563, 10673, 1406, 595, 787, 2311, 3733, 8342, 1968, 7313, 655, 1684, 3502, 5776, 693, 3733, 3400, 557, 543, 1284, 788, 1684, 711, 1796, 693, 1250, 18205, 543, 649, 788, 267, 594, 993, 711, 972, 267, 594, 798, 711, 3207, 269, 594, 993, 513, 8536, 12798, 602, 9514, 269, 594, 993, 519, 14776, 1350, 842, 593, 6777, 269, 594, 993, 519, 7943, 593, 18009, 2989, 10286, 269, 594, 993, 519, 9543, 15489, 4764, 269, 1879, 596, 12687, 538, 454, 21918, 518, 6506, 1246, 513, 4806, 269, 769, 513, 1929, 15104, 519, 1101, 267, 2034, 543, 11359, 3515, 723, 519, 1482, 11733, 543, 22565, 269, 634, 3791, 543, 8772, 3515, 269, 1548, 616, 2239, 9954, 888, 19284, 1929, 518, 6506, 267, 9954, 798, 711, 723, 547, 22565, 269, 5192, 513, 7981, 11020, 5403, 518, 5590, 1934, 693, 29249, 585, 8866, 630, 920, 730, 676, 31130, 2717, 328, 752, 4752, 543, 22123, 27392, 1916, 14240, 267, 26402, 543, 513, 1592, 540, 7799, 15104, 6201, 538, 1455, 4633, 543, 269, 1284, 666, 7058, 602, 1004, 1131, 723, 10425, 543, 31025, 536, 1177, 11276, 267, 16168, 8964, 610, 9954, 269, 898, 849, 568, 1031, 4749, 538, 21543, 30053, 547, 1118, 3214, 2648, 2542, 563, 300, 807, 15593, 573, 534, 7734, 7335, 11352, 547, 4497, 538, 7574, 16799, 540, 519, 5207, 1931, 269, 570, 5357, 299, 13263, 2443, 634, 14886, 540, 519, 24729, 1633, 5398, 7732, 786, 2743, 593, 11728, 267, 4924, 269, 476, 274, 267, 547, 1865, 14232, 3292, 543, 2093, 585, 5009, 2542, 543, 269, 3967, 476, 1789, 267, 476, 1001, 280, 5788, 19743, 16921, 256, 5272, 3923, 649, 3984, 606, 2228, 1433, 8630, 1141, 649, 1224, 513, 1433, 609, 519, 1004, 454, 5804, 513, 561, 3512, 585, 519, 9601, 540, 717, 1066, 325, 749, 18975, 547, 25135, 32718, 540, 6489, 337, 2313, 2855, 11040, 269, 19191, 267, 22459, 543, 10564, 23011, 563, 2691, 5617, 548, 670, 17344, 14659, 540, 1018, 5245, 1797, 547, 1200, 267, 519, 6648, 799, 2501, 547, 2247, 568, 3733, 13474, 676, 16910, 6139, 320, 269, 543, 1352, 563, 288, 1929, 15104, 568, 513, 2947, 11060, 20036, 6648, 609, 513, 10058, 11733, 269, 7799, 15104, 286, 3371, 781, 513, 7799, 15104, 22276, 547, 1205, 596, 3323, 269, 7799, 518, 6506, 31888, 1280, 8866, 6168, 31687, 1115, 563, 5445, 1810, 1406, 2965, 1416, 952, 596, 1118, 9073, 607, 1279, 607, 596, 2119, 543, 798, 519, 1318, 3364, 1848, 898, 779, 1044, 513, 22586, 7008, 540, 12405, 563, 2005, 729, 519, 1101, 9930, 1588, 585, 519, 7799, 15104, 6512, 267, 945, 941, 909, 585, 519, 8366, 585, 269, 1200, 3119, 3860, 3523, 1807, 269, 834, 2171, 563, 26222, 19761, 5170, 547, 1118, 513, 3017, 269, 10871, 19761, 5170, 547, 1118, 513, 3017, 269, 4639, 9098, 30374, 563, 12749, 1975, 7505, 6478, 7313, 1115, 5213, 1406, 595, 787, 2311, 3733, 8342, 1968, 7313, 655, 1684, 3502, 5776, 693, 3733, 3400, 557, 543, 1284, 788, 1684, 711, 1796, 693, 1250, 18205, 543, 649, 788, 267, 594, 993, 711, 972, 267, 594, 798, 711, 3207, 269, 594, 993, 513, 8536, 12798, 602, 9514, 269, 594, 993, 519, 14776, 1350, 842, 593, 6777, 269, 594, 993, 519, 7943, 593, 18009, 2989, 10286, 269, 594, 993, 519, 9543, 454, 2467, 616, 513, 1906, 4583, 1929, 15104, 1806, 602, 723, 9411, 519, 1857, 9637, 269, 634, 1101, 835, 568, 513, 1134, 8153, 1453, 781, 22565, 15545, 634, 1985, 6648, 568, 519, 1101, 1634, 1383, 540, 513, 1929, 15104, 4358, 609, 519, 1899, 968, 2467, 2899, 729, 513, 812, 689, 563, 3080, 540, 1010, 1295, 687, 267, 7089, 476, 272, 267, 1419, 14659, 646, 568, 1818, 513, 6648, 950, 646, 14753, 538, 22565, 543, 3081, 646, 15055, 269, 634, 1034, 29737, 2460, 540, 5565, 7232, 323, 613, 779, 30053, 568, 602, 789, 2965, 1118, 513, 2603, 540, 2631, 2899, 563, 763, 2947, 1032, 11916, 19510, 585, 14856, 15136, 267, 799, 729, 9250, 4010, 1079, 1296, 3516, 267, 729, 5921, 547, 5838, 563, 14881, 8910, 581, 856, 538, 519, 18137, 10655, 5452, 267, 543, 713, 6648, 1131, 1175, 1402, 538, 1250, 2212, 269, 4270, 267, 1287, 594, 8910, 2196, 1753, 543, 594, 8910, 795, 582, 621, 563, 269, 593, 26964, 269, 6423, 811, 2093, 827, 7799, 15104, 585, 3214, 267, 17826, 543, 17826, 1770, 269, 7799, 518, 6506, 1107, 3503, 2659, 13574, 7799, 518, 6506, 585, 853, 269, 18536, 781, 4303, 269, 11334, 9796, 563, 2108, 16100, 267, 6276, 2223, 594, 26866, 1229, 267, 968, 15927, 3214, 17373, 594, 4126, 646, 543, 1010, 15032, 786, 8263, 602, 519, 5682, 1715, 20958, 568, 1152, 519, 563, 7069, 3804, 729, 547, 1224, 267, 2328, 610, 27655, 476, 2764, 9954, 538, 519, 3923, 269, 2866, 585, 513, 2261, 25070, 267, 3214, 685, 5127, 9392, 543, 10543, 4566, 267, 1250, 1272, 729, 711, 20009, 547, 602, 8430, 269, 1809, 2094, 594, 6557, 1818, 909, 519, 563, 21918, 15104, 1107, 634, 1929, 15104, 568, 1419, 635, 673, 267, 20060, 839, 673, 267, 543, 3006, 1256, 682, 23424, 1106, 2442, 538, 1453, 781, 3332, 269, 1290, 12723, 540, 2947, 3515, 269, 1290, 12723, 540, 2947, 3515, 610, 2947, 11060, 588, 11961, 553, 267, 519, 1929, 15104, 740, 12742, 547, 513, 7453, 22565, 10325, 543, 536, 1735, 1097, 11733, 267, 1818, 621, 2653, 547, 27655, 269, 16390, 540, 519, 269, 31888, 585, 8866, 5788, 17826, 14033, 563, 21918, 518, 6506, 616, 513, 11295, 1106, 540, 6965, 602, 568, 1187, 547, 1224, 267, 543, 789, 616, 849, 1187, 547, 2328, 269, 769, 713, 3992, 267, 596, 786, 1451, 519, 3652, 540, 513, 563, 4517, 646, 3576, 513, 2736, 689, 9117, 547, 6318, 1010, 1079, 3214, 269, 19134, 32200, 269, 865, 649, 2461, 1934, 513, 2603, 540, 519, 942, 547, 1118, 602, 4755, 1848, 1284, 269, 0, 1103, 519, 476, 3192, 277, 268, 6507, 10980, 267, 519, 1533, 10288, 25210, 609, 930, 540, 519, 9510, 1216, 2924, 538, 4993, 547, 3247, 23028, 689, 1082, 8933, 543, 12535, 269, 3767, 267, 538, 513, 1129, 540, 519, 10825, 1928, 540, 1776, 5309, 5109, 10980, 267, 22124, 616, 8600, 547, 798, 519, 1482, 3364, 563, 763, 3557, 4826, 8249, 6513, 8274, 10300, 1540, 4129, 687, 2063, 4832, 676, 1082, 865, 10777, 21738, 2924, 25963, 2443, 1346, 4171, 6811, 4266, 1394, 1152, 607, 2484, 607, 476, 4489, 275, 269, 769, 519, 2063, 3923, 267, 519, 4604, 10288, 930, 476, 280, 267, 1822, 21738, 2924, 25963, 538, 519, 15762, 26963, 334, 543, 5842, 808, 10394, 23936, 5757, 30520, 547, 3247, 4129, 687, 713, 4832, 563, 3086, 519, 4604, 568, 4397, 4166, 547, 1847, 2417, 909, 519, 2924, 890, 9535, 1931, 543, 2154, 602, 930, 609, 840, 268, 4489, 275, 6811, 9505, 1055, 741, 15450, 563, 2750, 18075, 875, 1082, 2924, 786, 581, 1225, 339, 9229, 543, 1141, 568, 1869, 896, 6268, 267, 918, 4331, 631, 992, 6390, 267, 519, 1533, 4604 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4495, 2390, 513, 942, 267, 972, 729, 513, 9589, 1747, 1572, 519, 14175, 11312, 22544, 269, 901, 13186, 729, 2027, 1317, 621, 729, 1141, 782, 519, 4778, 3357, 547, 1272, 256, 769, 713, 8748, 1747, 267, 972, 941, 1082, 1114, 2516, 540, 6159, 1123, 338, 267, 855, 2221, 649, 786, 1445, 593, 835, 1895, 538, 1880, 910, 519, 853, 7134, 19371, 20551, 780, 4322, 5159, 1131, 5531, 7745, 4773, 540, 10477, 4837, 543, 2981, 873, 883, 4190, 5961, 1210, 1945, 1572, 834, 548, 611, 3515, 1701, 8048, 3515, 616, 899, 2178, 267, 6094, 9897, 1500, 540, 4496, 602, 3180, 519, 11954, 4837, 4773, 1927, 269, 5994, 952, 596, 1185, 2679, 7161, 540, 1585, 6505, 4778, 282, 1631, 1589, 540, 875, 1454, 1187, 621, 1131, 581, 547, 1921, 1346, 7161, 609, 1279, 267, 18846, 762, 17446, 540, 1404, 323, 965, 547, 1118, 513, 7168, 4605, 256, 2334, 781, 1018, 1818, 26911, 4837, 1148, 7959, 899, 780, 3086, 1577, 803, 2995, 596, 827, 938, 1434, 3659, 15207, 570, 4176, 6953, 663, 269, 1261, 729, 513, 2370, 25961, 538, 519, 14175, 11312, 22544, 543, 4941, 547, 1831, 513, 26911, 3766, 20199, 7376, 950, 646, 8057, 909, 269, 2290, 13566, 1554, 267, 646, 4280, 1010, 4116, 267, 7323, 27910, 956, 267, 834, 1692, 798, 594, 1376, 2870, 1250, 1378, 26911, 4837, 11247, 12482, 29309, 27910, 956, 20493, 27145, 543, 14452, 267, 834, 5575, 267, 3442, 707, 1374, 269, 898, 666, 581, 4376, 602, 2306, 596, 6126, 267, 971, 607, 5810, 267, 5017, 267, 610, 1256, 5546, 899, 12730, 267, 10945, 267, 543, 10580, 15323, 20755, 3240, 4956, 646, 4941, 547, 2721, 513, 17681, 22774, 2094, 646, 6068, 7487, 873, 1310, 513, 7088, 269, 1924, 267, 646, 14360, 513, 2462, 9095, 3337, 5196, 513, 6656, 540, 1957, 543, 5258, 621, 883, 5722, 4130, 2694, 547, 2099, 1142, 7524, 2681, 1336, 538, 513, 1483, 22774, 1107, 2699, 267, 10538, 267, 5835, 267, 3039, 267, 4544, 267, 967, 15282, 267, 543, 642, 14489, 780, 9202, 267, 7323, 27910, 956, 6026, 1864, 827, 8939, 519, 3501, 18707, 540, 11954, 4837, 269, 2701, 8118, 1200, 14951, 9221, 2407, 540, 32154, 24698, 267, 7713, 267, 834, 2171, 991, 547, 1265, 1175, 519, 1318, 512, 6493, 585, 707, 20100, 267, 15210, 15207, 269, 6733, 5702, 693, 891, 3681, 543, 4584, 3283, 602, 7618, 596, 540, 2470, 781, 3020, 5898, 15323, 4415, 1390, 10761, 267, 15207, 13603, 856, 513, 10875, 4062, 540, 1169, 12094, 2394, 789, 4904, 1010, 6263, 3349, 269, 3973, 267, 11461, 676, 7323, 27910, 956, 267, 646, 5402, 2759, 2059, 519, 6537, 3515, 540, 1010, 22774, 10959, 543, 5116, 1142, 7222, 4837, 4062, 3330, 922, 11280, 1858, 780, 10190, 3357, 519, 1034, 2629, 1900, 1107, 4946, 1291, 3515, 269, 3807, 899, 8220, 15956, 267, 15207, 4553, 519, 7291, 540, 1010, 22774, 5373, 609, 2571, 267, 544, 4150, 762, 26145, 540, 21743, 1291, 269, 2060, 9543, 3946, 267, 646, 20399, 519, 8728, 1524, 865, 602, 789, 554, 28289, 519, 4837, 17401, 1247, 6028, 2614, 2230, 585, 7943, 547, 19542, 998, 13085, 569, 780, 5629, 2347, 267, 7323, 27910, 956, 4951, 15207, 875, 547, 1151, 1457, 630, 320, 3787, 899, 13841, 264, 519, 28963, 540, 519, 1291, 3515, 1927, 267, 8108, 513, 4396, 2497, 269, 2991, 3850, 930, 942, 547, 3819, 267, 1352, 6045, 267, 834, 16100, 4464, 547, 16304, 707, 5137, 2282, 513, 6885, 267, 15603, 1769, 1780, 998, 543, 27283, 707, 17175, 22774, 585, 3025, 547, 23507, 15323, 4517, 8197, 267, 8164, 7943, 21098, 539, 15207, 781, 26911, 4837, 22774, 267, 621, 2234, 7007, 8788, 2429, 519, 3003, 14175, 11312, 22544, 269, 2353, 7064, 547, 1010, 16012, 2648, 585, 26911, 4837, 13167, 256, 1656, 3314, 267, 1100, 2339, 875, 1762, 610, 1507, 596, 949, 1745, 267, 2141, 3494, 602, 707, 3860, 2093, 666, 2490, 883, 1945, 5963, 15999, 269, 8414, 14958, 532, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 763, 595, 10984, 923, 2871, 843, 568, 513, 1895, 540, 1494, 1562, 945, 960, 543, 1451, 689, 1142, 824, 269, 634, 1368, 843, 814, 513, 4628, 25668, 5792, 18638, 1519, 3670, 4893, 985, 1765, 22764, 3167, 4893, 985, 267, 513, 1449, 29137, 267, 606, 9205, 986, 31343, 29137, 267, 543, 513, 476, 2764, 24140, 10264, 3154, 29137, 269, 16840, 3595, 538, 5786, 543, 16617, 909, 547, 13409, 476, 1015, 269, 634, 1368, 843, 3091, 5049, 543, 11925, 585, 4079, 543, 12322, 1032, 15778, 543, 14747, 519, 536, 1329, 333, 658, 3557, 540, 22110, 1397, 267, 513, 15197, 29632, 1221, 14266, 540, 1533, 17253, 17375, 5159, 563, 291, 4488, 3036, 288, 20937, 8121, 4811, 30316, 6579, 291, 454, 13356, 20753, 8551, 568, 1312, 25798, 543, 6198, 269, 16840, 960, 609, 3574, 267, 4837, 267, 4496, 267, 23907, 267, 20955, 267, 543, 4603, 609, 513, 3099, 540, 2553, 1519, 16560, 7206, 267, 26911, 4837, 1148, 267, 15081, 565, 20712, 267, 543, 811, 269, 16840, 616, 19444, 547, 4274, 7400, 5159, 945, 3060, 267, 1451, 267, 4001, 267, 1491, 5049, 267, 1514, 1125, 543, 1711, 1927, 267, 3695, 1142, 4759, 779, 1367, 2127, 540, 1719, 543, 6791, 563, 763, 19045, 32305, 2871, 843, 568, 513, 1895, 540, 5159, 945, 960, 609, 513, 2039, 540, 8407, 689, 4154, 547, 21567, 538, 513, 3099, 540, 4496, 1740, 6231, 2237, 513, 1453, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 306, 22633, 19371, 3203, 257, 607, 851, 540, 834, 290, 32323, 4811, 1299, 670, 15477, 10292, 2464, 1315, 19371, 1299, 19371, 2264, 2580, 6098, 693, 476, 276, 4458, 6040, 1453, 609, 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, 513, 476, 276, 4458, 6040, 1223, 723, 2059, 609, 741, 4267, 269, 3550, 602, 519, 1650, 6227, 4948, 3527, 543, 519, 946, 540, 1455, 3615, 269, 0, 3848, 476, 1015, 281, 4197, 2552, 8727, 674, 8986, 543, 27686, 681, 3770, 338, 692, 5970, 596, 2479, 5433, 899, 596, 2877, 547, 11547, 707, 3946, 936, 543, 936, 1586, 1317, 789, 4769, 1405, 1745, 2973, 2614, 286, 2107, 6148, 596, 666, 1405, 1796, 15700, 798, 1251, 333, 10849, 610, 20203, 23691, 1317, 596, 5855, 827, 3478, 17900, 593, 707, 3946, 286, 1452, 4606, 1522, 581, 513, 1129, 540, 1945, 1572, 12526, 18930, 687, 543, 7738, 12738, 267, 799, 568, 513, 1826, 540, 2623, 2938, 538, 1004, 609, 9866, 612, 633, 3281, 14601, 13081, 267, 610, 24753, 269, 2913, 781, 1451, 811, 2439, 1432, 568, 24753, 2496, 5331, 713, 281, 1411, 2811, 3843, 547, 4194, 513, 2731, 9157, 11015, 267, 855, 519, 4773, 1175, 1810, 1405, 3100, 547, 3514, 1100, 2339, 875, 2182, 596, 2119, 269, 2334, 4743, 540, 17140, 543, 4160, 568, 1018, 930, 1004, 1995, 1169, 1554, 1813, 547, 24753, 269, 901, 2790, 1072, 2783, 2306, 1004, 723, 13311, 4555, 610, 19048, 267, 1634, 607, 18930, 687, 267, 602, 1291, 873, 547, 798, 1978, 1919, 936, 543, 936, 267, 1634, 607, 22079, 687, 780, 3086, 267, 1577, 781, 4685, 4514, 883, 12526, 12194, 543, 7738, 12738, 780, 6944, 8727, 674, 8986, 692, 10144, 945, 6560, 609, 12526, 12194, 1831, 5393, 14126, 827, 4947, 883, 3346, 609, 13897, 267, 17900, 267, 610, 824, 23606, 269, 1358, 1522, 3494, 602, 952, 789, 5905, 1945, 18660, 267, 789, 1223, 1205, 7210, 610, 1256, 3262, 3676, 547, 1866, 269, 5871, 3871, 602, 9594, 891, 12194, 1331, 1210, 1857, 1964, 7741, 267, 7829, 2724, 267, 610, 24373, 3946, 609, 2576, 780, 27662, 532, 681, 3770, 338, 692, 2414, 4308, 609, 741, 4250, 540, 12526, 267, 2043, 1419, 1020, 16625, 5615, 610, 13467, 267, 971, 607, 7050, 1688, 11067, 267, 17643, 532, 267, 610, 7738, 269, 1635, 7900, 891, 7738, 12738, 267, 789, 4126, 547, 13468, 741, 4160, 543, 2061, 1022, 2800, 689, 4947, 547, 2933, 610, 1866, 269, 1717, 267, 891, 3527, 2356, 1683, 1152, 10151, 8323, 267, 543, 519, 4783, 5170, 780, 3963, 1281, 713, 4755, 2496, 763, 1480, 2634, 1568, 899, 513, 2706, 14617, 19792, 267, 7683, 10478, 585, 10881, 543, 6061, 13655, 547, 1832, 721, 2922, 269, 1809, 3006, 267, 938, 12058, 666, 1831, 1932, 18762, 543, 1376, 7487, 12178, 1141, 972, 5749, 1405, 1022, 269, 1879, 713, 4523, 267, 649, 1522, 1020, 31017, 5615, 899, 7738, 12738, 547, 948, 9350, 1524, 938, 14221, 4555, 269, 10251, 267, 891, 6208, 666, 15936, 609, 3232, 1272, 543, 2014, 11991, 2566, 780, 1692, 666, 649, 948, 6000, 543, 1866, 2496, 5575, 267, 3314, 602, 3025, 814, 28031, 802, 543, 9642, 6208, 20196, 781, 9985, 15502, 256, 1717, 267, 952, 2576, 781, 12194, 610, 22079, 687, 2253, 4929, 1713, 11605, 610, 27200, 741, 4948, 2238, 267, 789, 1522, 991, 3318, 948, 269, 26935, 1235, 8036, 538, 8156, 24753, 946, 2553, 899, 5042, 15515, 24173, 3797, 630, 30274, 264, 547, 4001, 1007, 2081, 540, 3206, 543, 1969, 532, 602, 666, 2736, 519, 4783, 540, 18930, 687, 543, 22079, 687, 780, 1103, 3932, 267, 1620, 12526, 12194, 543, 7738, 12738, 568, 1898, 585, 26003, 1944, 609, 1346, 4299, 676, 24753, 269, 5457, 267, 649, 782, 3068, 2591, 267, 855, 1927, 267, 649, 666, 1489, 835, 1776, 543, 3895, 2790, 9716, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 31807, 3539, 15952, 8745, 590, 710, 638, 534, 269, 634, 1808, 1981, 2188, 602, 2333, 519, 8458, 540, 513, 11784, 4524, 1373, 8995, 538, 15296, 898, 568, 1271, 547, 4063, 602, 6646, 568, 989, 528, 7469, 14113, 267, 543, 950, 11784, 4439, 574, 807, 543, 621, 786, 711, 4012, 1227, 1118, 519, 1797, 519, 4444, 15952, 8745, 590, 710, 638, 534, 540, 11784, 6285, 814, 3144, 269, 1703, 786, 15069, 581, 269, 24753, 3335, 5956, 538, 513, 1259, 540, 12003, 269, 3194, 2982, 602, 693, 15015, 540, 519, 1977, 1548, 568, 513, 4444, 15952, 8745, 590, 710, 638, 534, 269, 4658, 4043, 547, 4368, 622, 585, 513, 13309, 538, 269, 6271, 1106, 540, 21614, 7374, 14066, 569, 4934, 540, 2659, 2991, 519, 19389, 16802, 267, 543, 519, 5480, 949, 1121, 663, 873, 538, 26692, 267, 561, 1638, 596, 883, 17159, 1450, 707, 7787, 2634, 540, 2883, 6990, 269, 570, 290, 2026, 543, 10790, 302, 3674, 814, 1589, 519, 7141, 4667, 568, 6353, 676, 2348, 4713, 786, 581, 1459, 538, 513, 9972, 2359, 269, 4033, 6527, 723, 1044, 2009, 547, 2569, 519, 7920, 9810, 602, 12153, 607, 513, 1391, 547, 3339, 1125, 519, 5920, 8806, 269, 2311, 922, 4295, 267, 621, 711, 5906, 267, 855, 621, 538, 1852, 540, 741, 632, 9866, 32268, 616, 12194, 814, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 6944, 8727, 674, 8986, 543, 27686, 681, 3770, 338, 257, 607, 851, 540, 834, 306, 23852, 29803, 1315, 3281, 14601, 10263, 1315, 9866, 612, 633, 3281, 14601, 13081, 630, 302, 7374, 29215, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 277, 281, 3794, 10270, 11061, 538, 3203, 543, 595, 10984, 923, 281, 589, 12213, 667, 633, 883, 631, 3233, 23145, 1111, 8000, 6670, 692, 1103, 519, 7706, 540, 23907, 267, 1350, 30769, 4196, 607, 519, 9997, 995, 14479, 1063, 1106, 543, 1599, 269, 1358, 666, 2981, 513, 2241, 1843, 883, 1945, 9058, 998, 12879, 540, 2681, 267, 9403, 267, 1566, 13369, 267, 543, 2627, 1352, 523, 269, 901, 3184, 12538, 2620, 883, 519, 9159, 2257, 3297, 1350, 10270, 7998, 267, 1210, 631, 3233, 23145, 1111, 8000, 6670, 607, 938, 544, 2224, 910, 606, 11599, 3090, 540, 3703, 1148, 20341, 12021, 585, 922, 7524, 4778, 543, 6946, 6272, 269, 1284, 3513, 2263, 875, 17117, 540, 891, 1950, 3114, 6547, 3366, 547, 519, 5137, 540, 930, 5963, 7415, 1568, 540, 1148, 1247, 3246, 4030, 883, 2413, 3156, 543, 7760, 1369, 713, 2361, 780, 296, 269, 4197, 9978, 3794, 10270, 22020, 692, 6524, 11362, 2212, 14140, 883, 519, 811, 14969, 3344, 540, 1350, 10270, 7998 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 543, 2831, 2476, 630, 2224, 513, 5496, 547, 1832, 2011, 2095, 543, 2837, 2157, 19355, 1040, 5901, 606, 3750, 856, 585, 1022, 2042, 609, 707, 9205, 14764, 910, 581, 3226, 6297, 827, 6397, 22856, 799, 666, 11547, 2476, 707, 2898, 26745, 540, 12630, 15743, 4829, 5452, 2336, 2252, 596, 616, 3395, 538, 513, 8511, 610, 16280, 267, 596, 666, 29101, 3382, 519, 26745, 609, 5068, 630, 1729, 1832, 519, 11195, 1377, 1164, 1040, 11088, 267, 1832, 856, 540, 1463, 7943, 269, 1403, 707, 8511, 568, 6854, 693, 513, 1164, 11195, 267, 596, 1810, 1405, 991, 547, 3382, 693, 782, 563, 3086, 267, 5329, 606, 3750, 602, 519, 26745, 1281, 711, 3819, 856, 630, 604, 621, 1281, 2253, 547, 3819, 856, 9900, 5134, 621, 1586, 609, 1216, 1070, 7227, 585, 519, 5452, 547, 17708, 339, 269, 901, 1058, 581, 513, 2339, 540, 2395, 711, 4374, 4470, 2390, 519, 2175, 540, 707, 1367, 14764, 630, 339, 17687, 267, 3169, 11195, 267, 3178, 540, 519, 15743, 26258, 6079, 8720, 4494, 3092, 12175, 5457, 547, 2141, 20093, 593, 519, 2427, 540, 1932, 2370, 1216, 2864, 982, 1932, 1454, 585, 519, 15743, 4829, 28693, 2030, 563, 3086, 602, 707, 15743, 26258, 5452, 723, 17708, 1540, 267, 596, 991, 547, 1416, 585, 519, 15743, 26258, 19155, 269, 0, 2252, 596, 4941, 547, 2263, 9370, 267, 1018, 2186, 540, 8115, 1131, 596, 1491, 609, 596, 286, 1215, 1131, 596, 1628, 519, 13123, 286, 1215, 1131, 596, 1118, 2386, 519, 8115, 786, 960, 585, 513, 3099, 540, 14099, 286, 4595, 596, 1590, 4163, 519, 8115, 782, 519, 1259, 547, 9370, 267, 621, 1590, 581, 1507, 267, 1769, 267, 543, 3810, 6325, 269, 12824, 689, 519, 14502, 2160, 540, 22540, 723, 513, 8748, 2626, 281, 513, 13029, 23950, 640, 959, 1380, 563, 307, 1619, 23950, 640, 544, 6814, 616, 849, 1031, 585, 11766, 532, 513, 3099, 540, 31627, 543, 3859, 8440, 593, 28835, 15408, 269, 634, 28995, 3060, 568, 12946, 519, 2597, 540, 519, 2497, 282, 676, 2810, 519, 8082, 267, 519, 15958, 632, 17558, 269, 898, 779, 513, 26526, 1570, 18026, 1259, 547, 968, 18943, 856, 892, 609, 2497, 269, 570, 1619, 23950, 640, 544, 6814, 666, 1256, 4001, 721, 875, 547, 3914, 856, 811, 3927, 609, 938, 7916, 543, 7953, 563, 20663, 5752, 814, 4957, 14831, 3585, 936, 519, 2063, 1079, 5756, 267, 855, 930, 2093, 723, 11542, 519, 1449, 540, 942, 269, 769, 8629, 18112, 5034, 5811, 543, 5071, 267, 1101, 3370, 538, 476, 1960, 271, 267, 3301, 4056, 27240, 344, 4425, 5255, 7074, 912, 2108, 9556, 983, 640, 568, 519, 3959, 540, 513, 1062, 602, 814, 1044, 10920, 12723, 883, 513, 1305, 540, 23887, 543, 29101, 13745, 13838, 3034, 9213, 267, 4425, 5255, 779, 2093, 540, 29101, 13745, 1374, 616, 17947, 676, 23501, 1158, 17253, 269, 769, 1134, 27059, 2780, 3292, 267, 1142, 9074, 1281, 513, 1507, 1297, 540, 1919, 1134, 269, 1703, 616, 1808, 543, 1134, 20452, 2081, 602, 513, 9074, 12909, 609, 824, 13838, 269, 3525, 2737, 616, 1599, 958, 4830, 282, 2242, 547, 835, 9074, 786, 711, 1860, 824, 13838, 563, 6944, 2858, 713, 609, 513, 17401, 13745, 3684, 269, 20668, 538, 513, 17401, 13745, 3684, 616, 2966, 547, 2196, 968, 3697, 9219, 1740, 6100, 2353, 519, 2694, 1847, 538, 9376, 9912, 609, 1142, 824, 563, 288, 476, 866, 628, 2540, 610, 516, 787, 281, 513, 2203, 540, 938, 3859, 1062, 609, 782, 922, 2694, 3001, 968, 3697, 9219, 1740, 9731, 2467, 616, 2042, 8888, 3292, 609, 513, 17401, 13745, 1374, 912, 1892, 634, 13838, 616, 1804, 610, 3388, 568, 538, 835, 5458, 9074, 563, 1892, 15448, 547, 835, 9074, 666, 1689, 519, 2623, 540, 824, 13838, 538, 20437, 543, 19888, 1600, 2081, 563, 1892, 1306, 519, 2780, 1982, 9428, 267, 621, 3587, 5051, 2352, 610, 7543, 547, 723, 621, 13789, 7157, 563, 5978, 30273, 2497, 568, 29101, 13745, 269, 3776, 7633, 1810, 1406, 5905, 282, 972, 616, 1100, 682, 951, 610, 3505, 13062, 4548, 269, 1284, 2461, 2966, 547, 1847, 538, 513, 5347, 543, 13576, 6752, 282, 649, 1810, 1406, 1847, 899, 513, 9219, 610, 1022, 824, 17401, 13745, 3684, 563, 2252, 649, 616, 29101, 13745, 267, 1946, 1810, 1406, 649, 9846, 1847, 602, 1259, 286, 1656, 1018, 1281, 713, 723, 547, 798, 609, 21634, 6577, 330, 20333, 286, 0, 291, 903, 21685, 1107, 519, 20050, 547, 6733, 1280, 454, 9596, 875, 547, 2697, 519, 4191, 540, 27577, 563, 291, 903, 21685, 267, 849, 1634, 607, 513, 21685, 610, 11095, 2542, 4524, 267, 568, 6353, 676, 7411, 609, 1565, 547, 1224, 543, 609, 18312, 8223, 540, 1893, 5103, 3339, 610, 1657, 8584, 2071, 4987, 269, 901, 2882, 7411, 609, 13093, 1670, 4656, 267, 13093, 1670, 29852, 267, 4393, 3432, 267, 9647, 4919, 8193, 267, 17391, 2110, 3856, 3965, 267, 1893, 1983, 543, 11913, 8223, 267, 610, 4028, 20803, 563, 291, 903, 21685, 568, 519, 1034, 1455, 1565, 7411, 269, 2368, 1294, 27577, 607, 3982, 689, 2542, 7965, 4611, 689, 824, 3123, 267, 971, 607, 513, 1875, 16250, 9951, 673, 10638, 609, 6217, 610, 5075, 267, 610, 4057, 2542, 6044, 563, 2467, 616, 1614, 6069, 5042, 1016, 18196, 540, 27577, 630, 7596, 7480, 267, 3308, 543, 18906, 1308, 1070, 4352, 1367, 2665, 540, 27577, 616, 1732, 6045, 676, 1808, 5817, 5778, 17595, 1670, 22907, 630, 324, 3052, 1421, 3007, 17211, 30759, 4524, 267, 513, 3308, 4393, 4524, 264, 543, 1071, 31507, 2590, 1565, 7965, 630, 324, 3052, 1421, 7988, 20412, 807, 543, 7988, 23054, 807, 1916, 7212, 621, 568, 2808, 547, 581, 513, 32615, 630, 3530, 5166, 264, 1893, 2861, 1565, 9659, 267, 27577, 849, 5540, 835, 779, 22192, 630, 27889, 5166, 264, 1893, 1983, 563, 276, 9977, 532, 9669, 1280, 589, 15822, 267, 13245, 19343, 26668, 2653, 4388, 585, 3237, 547, 1832, 707, 3214, 2922, 1247, 856, 8945, 610, 8156, 713, 19343, 563, 290, 1886, 570, 3591, 267, 12338, 8083, 267, 543, 667, 22751, 300, 13873, 2372, 580, 2917, 12225, 2873, 519, 1032, 538, 1397, 3613, 25891, 6752, 267, 689, 19664, 2088, 808, 565, 773, 779, 9983, 16806, 10571, 547, 700, 1575, 7534, 779, 4672, 15918, 826, 30546, 575, 1144, 563, 8256, 4109, 9977, 532, 9515, 325, 8932, 17578, 629, 776, 267, 1912, 6185, 1421, 568, 513, 4791, 18673, 609, 513, 4357, 2259, 538, 1715, 3840, 563, 18600, 21509, 10241, 585, 4804, 2690, 519, 2250, 476, 1015, 1296, 267, 8053, 335, 601, 1512, 4400, 3427, 814, 2938, 519, 1871, 540, 3246, 3255, 585, 1053, 547, 7119, 538, 3028, 2238, 563, 19522, 585, 19737, 2659, 4132, 779, 4317, 32730, 11242, 4407, 972, 616, 2640, 547, 1514, 13033, 585, 1453, 267, 972, 616, 1082, 17498, 1938, 1932, 563, 7021, 323, 3151, 593, 8682, 7232, 4614, 655, 19522, 593, 4543, 707, 1126, 1020, 1434, 1582, 12635, 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 ]
[ 9286, 607, 10821, 269, 634, 1283, 4919, 6632, 1145, 4994, 630, 307, 310, 296, 267, 2142, 1597, 1627, 514, 1696, 620, 269, 476, 1001, 272, 264, 2636, 585, 519, 30431, 566, 540, 513, 6712, 540, 513, 3289, 5766, 1429, 545, 16935, 5732, 6534, 547, 6360, 538, 1495, 566, 676, 7114, 782, 519, 2127, 6353, 676, 513, 1283, 4919, 4994, 602, 20489, 513, 2016, 12939, 269, 634, 4683, 24466, 2010, 630, 303, 879, 548, 527, 543, 667, 7795, 1889, 476, 1220, 271, 267, 28711, 1696, 620, 269, 476, 1220, 279, 267, 595, 24170, 1696, 620, 269, 476, 1001, 273, 264, 1106, 519, 5748, 540, 513, 8760, 10325, 799, 6770, 1927, 18125, 540, 4683, 1106, 543, 1599, 269, 634, 3498, 540, 519, 772, 21587, 338, 2636, 519, 30431, 566, 540, 10923, 4559, 269, 634, 11984, 540, 772, 21587, 338, 693, 513, 1412, 6996, 334, 262, 268, 29173, 630, 328, 4318, 269, 1063, 519, 2749, 1377, 543, 602, 540, 519, 1367, 4559, 264, 2306, 513, 5078, 4493, 585, 519, 8901, 2079, 540, 4872, 269, 634, 29375, 296, 12939, 1871, 5673, 593, 519, 6571, 540, 519, 3059, 15038, 2203, 630, 291, 4932, 1070, 23289, 540, 519, 3289, 5766, 1429, 545, 16935, 630, 328, 4318, 269, 4683, 267, 31971, 268, 18076, 610, 6917, 264, 543, 519, 9112, 5989, 630, 10048, 15728, 320, 1696, 620, 269, 476, 1001, 272, 1040, 901, 12939, 1871, 568, 2356, 26215, 730, 1759, 593, 519, 2164, 540, 2143, 30431, 566, 540, 519, 538, 1495, 566, 9043, 585, 5697, 10851, 269, 769, 713, 1353, 267, 519, 29375, 296, 12939, 568, 26215, 730, 1759, 593, 519, 7229, 538, 1495, 566, 12632, 585, 1585, 2132, 5712, 585, 5697, 10851, 1369, 519, 16935, 998, 513, 28662, 5943, 269, 634, 454, 295, 1695, 338, 267, 25138, 918, 282, 5062, 10673, 24274, 267, 4460, 808, 282, 5062, 10111, 20321, 267, 7812, 589, 282, 26751, 330, 267, 8834, 589, 282, 4856, 27451, 267, 9400, 570, 282, 17368, 517, 267, 5696, 542, 344, 589, 282, 7581, 332, 1218, 267, 24697, 661, 282, 30338, 267, 9400, 623, 282, 16399, 267, 8230, 282, 5576, 23702, 345, 267, 4460, 654, 282, 13879, 267, 22956, 590, 717, 454, 24456, 970, 18728, 689, 4683, 2127, 616, 513, 3395, 3463, 547, 9265, 5001, 269, 1677, 7413, 713, 3463, 267, 621, 568, 2565, 547, 1174, 1018, 2188, 616, 12018, 2030, 14486, 3928, 269, 1284, 16432, 2030, 14486, 2557, 1239, 585, 476, 2420, 4872, 1472, 519, 1158, 269, 5565, 22188, 540, 519, 8390, 538, 2030, 14486, 3928, 729, 6045, 676, 513, 4999, 540, 519, 2749, 781, 3140, 1646, 543, 519, 1699, 8167, 540, 5065, 10664, 267, 609, 519, 5449, 7713, 519, 6574, 13260, 269, 1306, 513, 2582, 4756, 267, 519, 2179, 540, 5065, 10664, 6967, 849, 6766, 14486, 3928, 267, 3226, 538, 4872, 3436, 476, 1220, 1296, 2025, 269, 3776, 1353, 9727, 602, 519, 23543, 540, 5251, 14759, 676, 989, 337, 4115, 543, 4683, 1646, 2063, 585, 7366, 540, 1296, 267, 543, 2413, 4872, 5732, 4163, 513, 1804, 14486, 7963, 269, 901, 4466, 8711, 519, 2956, 540, 8497, 5065, 10664, 538, 4683, 2127, 543, 519, 991, 585, 17846, 547, 7413, 1761, 2030, 970, 18728, 538, 519, 2104, 563, 299, 19390, 7288, 24089, 267, 594, 341, 3570, 282, 4437, 384, 495, 514, 267, 3057, 2088, 282, 2398, 7032, 24089, 267, 808, 601, 6511, 282, 15662, 510, 574, 328, 24089, 267, 594, 341, 3570, 282, 918, 516, 20795, 328, 24089, 267, 715, 2088, 282, 16170, 2131, 990, 328, 24089, 267, 8751, 529, 15442, 454, 16446, 29372, 630, 309, 592, 6647, 5175, 6647, 264, 616, 519, 1034, 10731, 23097, 648, 2249, 538, 519, 8832, 25955, 269, 4595, 741, 5095, 616, 1134, 3964, 538, 31971, 268, 18076, 543, 4683, 2127, 267, 789, 2099, 513, 1761, 13111, 540, 8290, 602, 10141, 689, 7320, 547, 3425, 610, 6469, 2831, 269, 769, 713, 1353, 267, 649, 11117, 519, 3655, 1815, 531, 19274, 4435, 540, 11174, 543, 2937, 29372, 689, 31971, 268, 18076, 2127, 538, 3844, 23886, 807, 269, 634, 2531, 3215, 27899, 8290, 941, 16541, 17552, 984, 597, 333, 8785, 543, 1612, 341, 21552, 269, 634, 5207, 1297, 540, 10194, 14509, 630, 301, 284, 15221, 273, 264, 729, 11911, 547, 513, 1007, 16541, 2235, 21552, 543, 2347, 10194, 11646, 729, 632, 18051, 334, 19632, 689, 519, 1164, 28443, 1584, 15971, 1239, 269, 16737, 2235, 21552, 568, 3810, 2147, 547, 2915, 2235, 990, 21905, 4857, 538, 30428, 5243, 538, 7330, 543, 7977, 267, 543, 547, 513, 5063, 4362, 2235, 21552, 540, 29372, 609, 11719, 545, 2068, 689, 519, 2136, 8003, 269, 3776, 16541, 17552, 984, 597, 333, 8785, 729, 811, 5702, 1644, 547, 519, 11188, 322, 710, 543, 1480, 17552, 984, 597, 333, 822, 21905, 982, 547, 1634, 16541, 17552, 984, 597, 333, 822, 21905, 563, 3719, 2401, 918, 1695, 548, 267, 13191, 282, 631, 2465, 576, 267, 7225, 603, 282, 2480, 656, 548, 12064, 267, 22186, 787, 333, 454, 763, 1699, 6963, 3350, 538, 2257, 2069, 8992, 4441, 2861, 3450, 267, 1519, 519, 946, 540, 14374, 267, 1966, 6061, 267, 543, 1930, 25804, 15819, 267, 547, 2087, 2875, 9740, 269, 901, 1353, 12116, 519, 3310, 540, 4441, 2861, 3450, 2853, 593, 519, 9740, 540, 4683, 267, 3979, 12677, 267, 1647, 1153, 2257, 1053, 269, 3163, 5049, 540, 3610, 945, 1185, 15548, 538, 519, 3318, 1646, 630, 333, 815, 476, 279, 264, 540, 11882, 781, 1533, 4204, 11528, 11036, 630, 7704, 296, 264, 941, 20083, 609, 5049, 540, 3610, 630, 333, 815, 476, 1015, 264, 945, 1185, 711, 15548, 269, 4578, 941, 10356, 1210, 1895, 14194, 3439, 1229, 26830, 543, 9740, 4255, 602, 941, 4481, 2966, 585, 11882, 781, 9399, 296, 269, 1323, 26087, 525, 5815, 602, 3610, 945, 4749, 1031, 4441, 2861, 3450, 2853, 9797, 6766, 4683, 267, 3979, 12677, 1053, 262, 2257, 9740, 543, 8456, 267, 2523, 585, 8695, 269, 3958, 267, 3610, 262, 9525, 538, 519, 9399, 296, 781, 3318, 1646, 729, 9797, 1644, 547, 519, 4080, 946, 540, 4441, 2861, 3450, 2853, 538, 519, 4928, 269, 634, 4681, 1489, 519, 12117, 540, 1164, 7779, 3318, 1646, 547, 1689, 3450, 2853, 543, 547, 3986, 2875, 1565, 563, 307, 836, 267, 3171, 328, 282, 2473, 340, 267, 12390, 336, 24926, 454, 763, 4683, 1646, 568, 2356, 10483, 609, 519, 556, 13807, 8911, 543, 16646, 540, 519, 2025, 4683, 1858, 267, 799, 568, 835, 540, 519, 1883, 2152, 540, 519, 4683, 1646, 1982, 269, 3683, 519, 2250, 8717, 267, 674, 15120, 17924, 4975, 540, 17540, 329, 1014, 11662, 267, 10323, 3624, 267, 814, 3432, 539, 909, 922, 16646, 3356, 269, 634, 595, 836, 19333, 1858, 267, 4092, 538, 519, 27623, 540, 519, 2749, 267, 729, 4562, 534, 539, 543, 18949, 539, 547, 2087, 1004, 781, 2713, 2175, 1317, 519, 1858, 729, 2407, 540, 703, 13208, 32472, 2695, 2660, 17260, 269, 769, 1931, 547, 1353, 519, 8143, 2825, 2242, 540, 519, 595, 836, 19333, 1858, 1354, 543, 1310, 519, 16646, 267, 1614, 14924, 520, 25633, 2592, 540, 476, 2735, 277, 267, 476, 1960, 277, 543, 476, 1220, 277, 941, 8246, 547, 1685, 4183, 1349, 687, 540, 519, 8143, 5829, 1344, 540, 519, 1858, 267, 971, 607, 519, 2244, 2627, 2837, 630, 299, 4306, 1070, 6650, 2365, 2627, 1858, 630, 26721, 264, 543, 10664, 3795, 269, 634, 11050, 2079, 593, 519, 2078, 1063, 4959, 288, 543, 700, 4306, 6700, 513, 2318, 12825, 2078, 1063, 519, 1079, 2188, 269, 2060, 519, 6351, 540, 519, 12124, 268, 28959, 268, 3674, 1633, 22472, 12039, 630, 308, 6020, 1070, 519, 3059, 3239, 4393, 593, 519, 1614, 3818, 2389, 32294, 2592, 7000, 519, 8901, 543, 13796, 7648, 540, 519, 4683, 3002, 6532, 630, 308, 26980, 264, 1198, 538, 519, 11567, 1858, 689, 476, 2735, 277, 547, 476, 1220, 277, 269, 634, 2164, 4951, 602, 1310, 519, 10131, 540, 519, 16646, 1788, 540, 713, 2695, 2660, 11175, 26730, 3990, 1858, 267, 519, 772, 26980, 1198, 538, 519, 1858, 1185, 1044, 7494, 7339, 730, 538, 519, 2250, 476, 736, 1296, 267, 2094, 519, 772, 6020, 1871, 1185, 1044, 8519, 689, 476, 271, 269, 277, 4366, 538, 476, 2735, 277, 547, 476, 271, 269, 25090, 538, 476, 1220, 277, 269, 901, 7640, 525, 7494, 547, 519, 1713, 6175, 538, 1164, 29213, 4959, 2026, 543, 519, 8037, 2333, 538, 10664, 6227, 269, 634, 16646, 568, 540, 4324, 547, 519, 772, 26980, 17846, 540, 519, 595, 836, 19333, 1858, 563, 312, 836, 267, 962, 532, 321, 7776, 282, 962, 7776, 267, 6931, 454, 1607, 1957, 5631, 11828, 519, 4683, 1374, 2188, 875, 547, 1860, 519, 4683, 3002, 1604, 538, 4683, 10821, 1858, 676, 6552, 15392, 269, 634, 5941, 4683, 1374, 2188, 1331, 6989, 1858, 5223, 267, 2679, 4463, 267, 3039, 1858, 5223, 267, 543, 2551, 5860, 269, 634, 2164, 5815, 602, 950, 519, 3039, 1858, 5223, 538, 10821, 1858, 3587, 476, 2412, 9077, 519, 1198, 540, 4617, 2287, 772, 26980, 568, 1655, 269, 14451, 982, 476, 2412, 9077, 519, 1198, 540, 4227, 519, 2837, 5956, 547, 7771, 269, 634, 2362, 519, 15335, 5656, 616, 267, 519, 2362, 519, 1611, 2627, 2837, 540, 10821, 13102, 568, 269, 1879, 6989, 1858, 5223, 9832, 689, 476, 272, 269, 276, 547, 476, 274, 267, 519, 1689, 540, 1611, 2627, 2837, 568, 23589, 269, 1879, 6989, 1858, 5223, 568, 3152, 982, 476, 274, 267, 519, 2208, 540, 1611, 2627, 2837, 1131, 581, 14887, 269, 17183, 2837, 543, 2551, 5860, 723, 30233, 2078, 269, 15788, 267, 24990, 723, 519, 4316, 547, 2744, 1713, 5813, 883, 519, 2168, 19183, 540, 4058, 4507, 1369, 4872, 676, 10128, 11050, 2079, 540, 13590, 1648, 7403, 6394, 676, 6552, 15392, 1949, 269, 22647, 15392, 1131, 581, 513, 3730, 1907, 585, 24990, 547, 1118, 3621, 3664, 563, 307, 8999, 9461, 267, 962, 32634, 282, 715, 323, 537, 978, 320, 267, 4569, 24586, 282, 6129, 1695, 4673, 267, 570, 25493, 327, 27323, 282, 15917, 1662, 5866, 267, 3143, 345, 23449, 282, 769, 537, 324, 267, 23729, 26619, 282, 26981, 1794, 11867, 267, 1744, 639, 8123, 282, 16629, 574, 10098, 267, 2398, 4593, 320, 282, 594, 810, 345, 26619, 267, 681, 773, 282, 772, 655, 3120, 267, 4498, 25431, 282, 18000, 23042, 267, 20673, 8500, 25431, 282, 918, 2033, 14150, 267, 14642, 600, 340, 282, 26943, 13987, 267, 9400, 454, 763, 3979, 11782, 568, 4867, 7680, 4028, 2551, 2208, 267, 609, 8375, 20012, 2810, 519, 6871, 540, 519, 2551, 2713, 538, 1804, 10034, 543, 4872, 269, 1284, 6594, 519, 1764, 540, 519, 4110, 540, 20012, 593, 519, 2551, 11976, 540, 26736, 7116, 1756, 23881, 27457, 30946, 538, 4683, 543, 31971, 268, 18076, 2127, 538, 543, 1472, 519, 2749, 540, 4858, 3960, 822, 4068, 267, 6243, 540, 22096, 269, 901, 2361, 4259, 267, 799, 16621, 2199, 1072, 7740, 13883, 538, 2127, 540, 8795, 20012, 267, 568, 540, 1719, 607, 621, 2636, 519, 18572, 540, 13663, 15495, 689, 2127, 1141, 519, 1480, 267, 21313, 267, 543, 18151, 5095, 616, 3838, 267, 855, 1141, 3604, 538, 519, 4110, 540, 20012, 630, 18490, 547, 10565, 3604, 538, 6771, 8515, 264, 2014, 519, 4806, 540, 13663, 6771, 547, 8428, 7494, 269, 1284, 723, 11567, 875, 891, 3604, 538, 6771, 8515, 1860, 21313, 4719, 4763, 267, 1519, 519, 2179, 540, 4719, 26340, 1143, 538, 1142, 1858, 267, 519, 4110, 540, 3095, 720, 1669, 638, 10329, 1369, 519, 5095, 267, 543, 519, 9860, 543, 4908, 540, 3075, 4187, 12508, 269, 1677, 3313, 21313, 2551, 2497, 267, 10636, 27340, 13920, 543, 3095, 720, 1669, 638, 10329, 267, 649, 29921, 5216, 31442, 520, 22972, 12508, 543, 5340, 688, 7120, 4286, 2079, 540, 519, 544, 4944, 272, 5444, 676, 19738, 269, 631, 20706, 1634, 547, 581, 2404, 609, 4187, 547, 519, 1884, 2711, 25106, 5061, 8392, 29783, 543, 7510, 3234, 996, 8533, 941, 5462, 676, 15971, 519, 4143, 13980, 540, 519, 1835, 339, 543, 546, 327, 325, 337, 6090, 267, 6606, 269, 1284, 1336, 602, 21313, 4719, 4763, 729, 13380, 1063, 519, 1079, 4609, 267, 609, 1164, 2157, 540, 26340, 1143, 1373, 9738, 538, 1312, 2127, 5103, 10565, 3604, 538, 6771, 8515, 269, 14265, 1017, 569, 267, 649, 1336, 602, 519, 12451, 540, 4719, 12508, 540, 3075, 4187, 1996, 7510, 3234, 996, 8533, 543, 8392, 29783, 28209, 3648, 1063, 519, 4609, 267, 22566, 540, 18312, 5542, 12503, 538, 519, 1079, 2127, 269, 20163, 281, 25908, 6812, 272, 1428, 454, 1862, 8549, 3690, 527, 10029, 12124, 1242, 9351, 16754, 5358, 281, 1160, 12723, 8562, 983, 17985, 27301, 312, 281, 8549, 3690, 527, 1862, 281, 634, 8549, 3690, 527, 10029 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2161, 2576, 9620, 609, 11648, 693, 1153, 269, 5502, 540, 3478, 14220, 543, 18644, 1394, 267, 799, 1223, 1291, 547, 811, 8373, 267, 789, 666, 1246, 3268, 899, 16153, 1154, 972, 781, 513, 1966, 267, 5275, 948, 267, 543, 1565, 1007, 2081, 547, 5968, 269, 901, 786, 948, 873, 6023, 2352, 3871, 9350, 569, 543, 1589, 1354, 9117, 780, 7692, 281, 7937, 267, 594, 1294, 269, 1924, 621, 781, 2186, 540, 899, 8026, 1434, 25654, 543, 1373, 16614, 2509, 1866, 2496, 8334, 281, 22549, 256, 1656, 1577, 781, 2015, 1776, 1383, 910, 950, 649, 1616, 1945, 855, 1810, 1406, 1205, 621, 1318, 2476, 269, 9320, 707, 3237, 1767, 968, 7224, 892, 547, 9140, 513, 11442, 610, 17711, 269, 1411, 1522, 1745, 25922, 267, 855, 18530, 513, 21915, 5300, 4465, 1405, 4194, 4376, 269, 1635, 16561, 4641, 543, 4466, 4244, 3435, 267, 971, 607, 9494, 909, 2724, 610, 3257, 26050, 585, 3063, 27108, 267, 596, 1628, 9639, 543, 6043, 780, 7692, 281, 23010, 267, 3006, 594, 798, 1205, 13347, 950, 3158, 3081, 1100, 267, 855, 594, 7058, 594, 666, 2119, 6158, 547, 1200, 23182, 3079, 780, 8334, 281, 25999, 256, 5457, 532, 602, 938, 3527, 723, 4539, 543, 3206, 6619, 666, 4688, 721, 689, 11991, 17140, 269, 1284, 849, 991, 547, 581, 3222, 540, 938, 1378, 4606, 543, 6547, 865, 602, 649, 666, 4431, 14013, 269, 1280, 3236, 267, 952, 2576, 2306, 1187, 540, 596, 267, 9301, 10413, 4664, 13071, 596, 6430, 2436, 547, 3802, 2476, 610, 2671, 707, 4555, 1135, 7019, 780, 7692, 281, 8729, 267, 7705, 256, 1452, 2093, 3100, 3730, 585, 3232, 1272, 269, 594, 3513, 1832, 873, 538, 2247, 950, 6849, 9157, 3871, 780, 8334, 281, 1411, 2811, 10950, 267, 7585, 256, 3807, 3314, 602, 3025, 814, 2042, 267, 543, 2921, 5539, 585, 6000, 1247, 8156, 1866, 609, 11587, 4422, 513, 1279, 1259, 4724, 8788, 543, 1967, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 3528, 12891, 12340, 13391, 13704, 454, 2690, 5756, 267, 1250, 1920, 2968, 8185, 3238, 538, 835, 540, 519, 1360, 10782, 267, 1034, 10795, 1126, 3023, 19338, 14034, 602, 594, 723, 2479, 2938, 269, 1358, 543, 519, 1866, 538, 519, 19338, 3919, 1031, 593, 1453, 22266, 4108, 16654, 8476, 23827, 566, 25711, 2553, 547, 1852, 721, 269, 2991, 594, 729, 4535, 883, 519, 3919, 267, 594, 2968, 835, 540, 1346, 1453, 563, 5804, 519, 1360, 9998, 1296, 594, 666, 3314, 267, 547, 519, 2085, 540, 29933, 267, 594, 729, 513, 6408, 540, 1126, 3023, 19338, 267, 25711, 267, 2247, 1852, 5752, 267, 543, 9161, 2065, 6057, 676, 513, 1804, 5001, 11895, 7895, 2684, 850, 3060, 602, 1185, 5215, 540, 2818, 563, 763, 1126, 19338, 8258, 729, 2196, 676, 8723, 3168, 267, 3043, 267, 14547, 267, 1134, 13473, 267, 3532, 543, 3811, 2367, 543, 741, 3885, 1082, 540, 7247, 941, 513, 851, 540, 513, 9045, 23307, 3919, 269, 2368, 540, 519, 2818, 5249, 538, 2229, 267, 4108, 543, 519, 5126, 1062, 693, 519, 942, 563, 5445, 14201, 1405, 19338, 1004, 998, 533, 574, 4771, 267, 2228, 3023, 8591, 267, 20730, 267, 14903, 13515, 267, 610, 14816, 15731, 267, 536, 3010, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 306, 23852, 29803, 1315, 3828, 10679, 28157, 15789, 2580, 6098, 693, 1453, 547, 4001, 873, 1455, 2631, 269, 634, 5188, 1058, 4125, 1079, 3197, 267, 7705, 543, 7585, 267, 7234, 4948, 3871, 543, 1818, 3664, 1759, 593, 1455, 2631, 269, 2422, 2241, 2474, 543, 513, 2067, 267, 2502, 3159, 269, 24372, 2521, 547, 281, 8528, 268, 19308, 2055, 543, 4267, 602, 12172, 519, 1888, 543, 1683, 4052, 1806, 543, 3137, 540, 1946, 1919, 4755, 267, 2014, 7146, 13716, 3347, 267, 543, 875, 1004, 3335, 2170, 538, 891, 3871, 269, 3097, 268, 20864, 7653, 602, 2154, 1620, 15749, 8100, 543, 13865, 10881, 547, 8207, 13509, 269, 3097, 2710, 711, 2446, 519, 1357, 1349, 543, 11716, 3877, 13061, 547, 519, 1888, 269, 0, 7689, 476, 1691, 281, 2372, 29184, 910, 589, 8111, 326, 1778, 689, 519, 1656, 525, 692, 5970, 596, 2479, 4862, 540, 844, 29184, 630, 29455, 26395, 2894, 2914, 1695, 21663, 898, 781, 513, 1826, 540, 6079, 602, 2501, 689, 513, 2030, 5065, 547, 3162, 3013, 269, 4658, 1419, 1589, 621, 781, 513, 10286, 1317, 621, 5654, 543, 29397, 2147, 547, 7573, 610, 16717, 32654, 269, 1809, 1810, 1405, 581, 18174, 539, 1107, 713, 2370, 1379, 5264, 1426, 24502, 3833, 513, 14312, 24362, 2439, 3963, 568, 844, 29184, 865, 1390, 286, 1280, 26784, 267, 621, 3568, 782, 8370, 1898, 11254, 7408, 938, 4703, 991, 855, 3112, 3132, 2933, 269, 2334, 2306, 844, 29184, 513, 2347, 3940, 2707, 267, 799, 568, 2523, 1271, 585, 3543, 12579, 543, 1654, 7540, 269, 3958, 267, 844, 29184, 2488, 6775, 267, 4401, 267, 13101, 267, 543, 14434, 269, 2060, 922, 7646, 569, 2428, 1399, 6492, 543, 2770, 27918, 9403, 950, 11273, 267, 844, 29184, 568, 11212, 11684, 543, 2653, 547, 1039, 547, 1082, 8286, 780, 3086, 267, 4952, 9256, 844, 29184, 609, 519, 3741, 540, 519, 2442, 11335, 10791, 5018, 693, 519, 4098, 540, 713, 3184, 269, 1411, 1131, 723, 513, 10888, 4999, 540, 27357, 6484, 267, 17175, 10366, 267, 543, 2597, 2359, 1489, 256, 2913, 781, 2638, 856, 930, 26345, 844, 29184, 10346, 6273, 676, 11335, 11951, 780, 8469, 10882, 2372, 29184, 6428, 611, 692, 28808, 19263, 912, 1892, 476, 272, 7484, 844, 29184, 454, 1892, 476, 273, 11680, 1216, 610, 1970, 1606, 18754, 10448, 26185, 454, 1892, 476, 26528, 7484, 3063, 20424, 14462, 3282, 454, 1892, 4236, 823, 540, 476, 272, 11993, 454, 1892, 476, 274, 804, 7174, 13342, 267, 1295, 1027, 454, 1892, 17865, 543, 14723, 267, 547, 6492, 454, 1892, 476, 272, 29475, 267, 546, 5367, 454, 1892, 476, 272, 2699, 11350, 14723, 267, 22872, 454, 1892, 476, 16006, 1507, 2699, 22323, 267, 29656, 22872, 454, 1892, 476, 382, 378, 7484, 918, 15401, 1092, 10153, 1161, 267, 8486, 1540, 543, 30000, 454, 1892, 476, 16006, 7484, 1835, 14217, 535, 9508, 10381, 454, 1892, 476, 414, 483, 497, 7484, 4195, 16163, 2917, 267, 22872, 454, 1892, 8838, 1308, 281, 22269, 14274, 267, 1148, 747, 5803, 12271, 267, 7105, 701, 553, 692, 9743, 15297, 1384, 272, 269, 681, 20600, 519, 844, 29184, 896, 4411, 4881, 1216, 2394, 519, 1216, 8255, 2312, 269, 667, 1778, 1134, 563, 273, 269, 20780, 519, 1216, 610, 10448, 26185, 547, 513, 14974, 538, 513, 5420, 14036, 3966, 936, 1164, 3002, 269, 5410, 519, 32092, 539, 844, 29184, 267, 2569, 3002, 547, 1970, 267, 3382, 267, 543, 31652, 585, 5111, 476, 1428, 3764, 610, 2394, 13035, 543, 5277, 568, 12842, 269, 12071, 742, 609, 513, 23643, 543, 4483, 547, 513, 1804, 11544, 12826, 269, 14190, 9023, 5594, 563, 274, 269, 11531, 267, 31953, 1927, 519, 14462, 3282, 267, 11993, 10433, 267, 13342, 267, 6070, 267, 543, 14723, 538, 513, 1507, 12826, 547, 1711, 519, 19703, 269, 5590, 11735, 563, 275, 269, 4495, 519, 844, 29184, 814, 22799, 5594, 267, 3575, 538, 519, 29475, 267, 2699, 11350, 14723, 267, 2699, 22323, 267, 918, 15401, 1092, 10153, 1161, 267, 535, 9508, 10381, 267, 543, 16163, 2917, 269, 28528, 13489, 547, 9192, 563, 276, 269, 32449, 519, 19703, 936, 519, 19997, 543, 19184, 3388, 1927, 2394, 14961, 22862, 269, 570, 4292, 543, 4188, 4005, 902, 952, 2556, 563, 277, 269, 31160, 5612, 610, 12104, 4733, 585, 2663, 269, 17949, 607, 513, 1796, 29671, 8670, 610, 7258, 1989, 2683, 9269, 267, 3165, 267, 610, 23758, 7729, 9955, 2439, 8967, 5390, 2372, 29184, 853, 4428, 539, 13852, 3212, 13827, 692, 28808, 19263, 912, 1892, 476, 272, 7484, 844, 29184, 454, 1892, 476, 273, 11680, 1216, 610, 1970, 1606, 18754, 10448, 26185, 454, 1892, 476, 275, 1804, 11350, 18717, 630, 1415, 2681, 1070, 25568, 6569, 267, 5452, 23987, 454, 1892, 476, 272, 512, 26138, 3063, 20424, 14462, 3282, 454, 1892, 476, 272, 1507, 5835, 22323, 267, 22872, 454, 1892, 476, 273, 804, 7174, 13342, 267, 1295, 1027, 454, 1892, 476, 272, 630, 1691, 12063, 264, 666, 16760, 3595, 268, 549, 16556, 14274, 454, 1892, 476, 272, 512, 4944, 28655, 13099, 27996, 454, 1892, 476, 272, 512, 4944, 2666, 524, 6058, 454, 1892, 18237, 577, 540, 2699, 14723, 1166, 1389, 630, 28436, 994, 1892, 17865, 543, 14723, 267, 547, 6492, 454, 1892, 476, 16006, 7484, 27054, 4765, 4779, 3960, 732, 12848, 10381, 454, 1892, 18610, 24958, 3762, 267, 14324, 267, 585, 21959, 880, 692, 9743, 15297, 1384, 272, 269, 2776, 17742, 14089, 547, 476, 23841, 13790, 630, 5002, 9180, 1040, 700, 4774, 31294, 513, 11256, 8670, 1175, 2462, 2614, 547, 3180, 519, 11350, 18717, 20005, 563, 273, 269, 681, 710, 569, 537, 978, 1053, 1522, 991, 948, 609, 713, 1900, 269, 681, 20600, 519, 844, 29184, 896, 4411, 4881, 1216, 2394, 519, 1216, 8255, 2312, 269, 667, 1778, 1134, 563, 274, 269, 769, 513, 5420, 14036, 3966, 267, 3142, 519, 1216, 610, 10448, 26185, 547, 513, 14974, 936, 1164, 3002, 269, 5410, 519, 32092, 539, 844, 29184, 267, 2539, 3002, 267, 3382, 267, 543, 31652, 585, 1472, 476, 1428, 3764, 610, 2394, 13035, 543, 5277, 568, 12842, 269, 18734, 547, 513, 12826, 543, 1305, 11735, 563, 275, 269, 2755, 519, 844, 29184, 29397, 267, 5965, 519, 11350, 18717, 269, 12338, 1055, 741, 25568, 267, 4894, 519, 5452, 543, 17011, 267, 1287, 1747, 873, 538, 519, 5423, 11256, 8670, 563, 276, 269, 14333, 519, 14462, 3282, 538, 513, 1236, 32576, 936, 5420, 3002, 269, 590, 2246, 2946, 519, 19637, 2394, 21352, 539, 267, 10199, 476, 274, 268, 275, 3764, 269, 29130, 519, 13342, 543, 3136, 5986, 585, 1776, 8792, 267, 1818, 2386, 621, 3085, 1405, 6633, 563, 277, 269, 1677, 519, 1236, 32576, 267, 1039, 519, 16760, 14274, 267, 28655, 13099, 27996, 267, 2666, 524, 6058, 267, 2699, 14723, 1166, 1389, 630, 604, 1210, 1070, 543, 6070, 543, 14723, 2687, 547, 13283, 269, 3244, 1067, 585, 827, 476, 279, 268, 1015, 3764, 267, 3850, 519, 7848, 547, 5394, 523, 5594, 269, 17797, 4005, 902, 952, 2877, 563, 278, 269, 17186, 519, 11273, 844, 29184, 883, 519, 16603, 7848, 543, 22635, 621, 8449, 883, 1142, 11350, 14723, 3368, 269, 5440, 1169, 28077, 14723, 609, 4779, 3960, 732, 12848, 10381, 563, 279, 269, 645, 820, 585, 476, 1839, 268, 1789, 3764, 267, 2394, 519, 18717, 616, 13035, 543, 519, 10381, 568, 24268, 543, 11164, 29087, 269, 17179, 689, 519, 14089, 543, 1450, 16889, 585, 1896, 3764, 1354, 7674, 269, 717, 7568, 880, 609, 14324, 24958, 3762, 1354, 20857, 538, 2439, 4322, 1079, 11335, 844, 29184, 10346, 2709, 9735, 2081, 547, 2972, 513, 15988, 797, 1247, 8508, 519, 4295, 2418, 540, 519, 11335, 10791, 269, 8414, 5986, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 6701, 596, 3168, 585, 513, 4264, 543, 11791, 1259, 547, 6336, 2597, 286, 6733, 1100, 2417, 982, 519, 11335, 2732, 256, 901, 3810, 28601, 2732, 814, 6591, 6284, 689, 18019, 2959, 899, 519, 25832, 18669, 543, 634, 1715, 4789, 4750, 540, 6925, 269, 1635, 1739, 519, 11335, 2732, 1544, 267, 596, 666, 711, 1152, 8774, 1346, 3063, 6550, 855, 849, 2087, 707, 2949, 1072, 563, 763, 11335, 2732, 568, 782, 827, 6220, 2635, 5820, 883, 707, 6980, 267, 971, 607, 3063, 20424, 14462, 3282, 267, 10808, 267, 5613, 267, 5388, 267, 22053, 267, 543, 16872, 269, 1452, 8949, 11335, 2732, 2597, 2530, 10346, 616, 711, 1152, 14095, 609, 8137, 855, 849, 3895, 2597, 2530, 543, 2061, 1585, 1072, 2152, 563, 5649, 344, 547, 1376, 707, 11335, 2732, 3460, 286, 769, 519, 1739, 6810, 267, 649, 786, 2263, 519, 2640, 540, 519, 11335, 2732, 585, 2597, 2530, 267, 7594, 3341, 543, 4058, 4388, 267, 5023, 22476, 10346, 267, 543, 811, 269, 1924, 267, 1577, 779, 4685, 538, 543, 12260, 519, 11580, 540, 2635, 2713, 609, 519, 11335, 2732, 2336, 19119, 540, 519, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 5226, 29184, 10346, 257, 607, 851, 540, 834, 23733, 1315, 16930, 23123, 1315, 19676, 1299, 3400, 1231, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 865, 596, 666, 1174, 875, 5863, 938, 4703, 616, 543, 875, 2257, 1522, 948, 721, 1832, 873, 2324, 1134, 585, 3476, 780, 5575, 267, 723, 596, 2479, 2219, 827, 1946, 649, 1332, 4587, 286, 898, 781, 711, 1175, 827, 3168, 1114, 610, 2348, 32060, 630, 24392, 1346, 616, 4191, 1932, 1040, 18738, 938, 4703, 267, 972, 616, 6634, 540, 6263, 4600, 1572, 2281, 269, 1306, 942, 10596, 267, 891, 2281, 1205, 13110, 267, 899, 950, 596, 946, 707, 5172, 11442, 936, 543, 936, 1586, 269, 2368, 2694, 5957, 856, 267, 1818, 621, 9875, 585, 873, 547, 960, 7157, 269, 12207, 1289, 891, 12816, 13050, 2281, 834, 11420, 27853, 2281, 2437, 543, 789, 4043, 547, 1628, 909, 607, 649, 2085, 780, 3086, 4952, 707, 9162, 4947, 9800, 543, 4358, 547, 804, 13616, 707, 4055, 20196, 1131, 581, 3833, 513, 3190, 256, 3776, 4703, 2746, 13974, 547, 6845, 27853, 2281, 676, 23646, 1524, 267, 1454, 899, 513, 2780, 4881, 1082, 3292, 693, 2899, 269, 1284, 1376, 30534, 1919, 267, 3001, 14887, 267, 543, 20414, 897, 1091, 811, 4749, 269, 6884, 267, 891, 2042, 1291, 547, 8273, 2152, 899, 2295, 2068, 610, 12263, 269, 1924, 267, 875, 666, 649, 2973, 909, 938, 11623, 267, 610, 538, 713, 2013, 267, 938, 4703, 2496, 1607, 6770, 721, 547, 6845, 32673, 3797, 269, 6056, 540, 621, 899, 3616, 32211, 543, 12180, 707, 11442, 4216, 256, 3807, 899, 875, 649, 4894, 7745, 9162, 267, 6845, 32673, 3797, 6663, 547, 2312, 2476, 1346, 25356, 267, 13542, 727, 6845, 27853, 2281, 602, 2014, 8373, 3330, 938, 4703, 269, 1635, 3257, 713, 267, 3173, 3494, 938, 8219, 786, 1599, 1732, 267, 3850, 721, 547, 3251, 2635, 543, 3742, 585, 513, 3476, 1974, 780, 3719, 7227, 256, 1215, 798, 3744, 917, 799, 2281, 547, 12235, 2476, 286, 4270, 267, 5100, 1004, 723, 4362, 1978, 6878, 602, 957, 899, 20203, 19216, 267, 4481, 13389, 6845, 27853, 2281, 269, 1452, 2027, 6675, 616, 1336, 538, 2371, 267, 971, 607, 844, 2075, 564, 514, 538, 13212, 610, 535, 529, 564, 514, 538, 22229, 269, 19196, 1746, 2090, 1397, 602, 10438, 891, 2067, 7135, 949, 2569, 6553, 267, 2087, 2168, 2773, 267, 543, 6148, 1256, 8831, 12468, 335, 753, 2439, 8170, 1576, 267, 1100, 835, 6487, 2943, 2436, 5781, 4189, 6266, 540, 13212, 543, 22229, 786, 3648, 1764, 10172, 269, 1717, 267, 1620, 6845, 8432, 9455, 3947, 721, 4126, 585, 2104, 5574, 602, 1223, 27185, 821, 3676, 2404, 609, 3395, 4587, 269, 5808, 6487, 267, 6148, 14693, 3214, 786, 1451, 782, 827, 891, 11257, 538, 741, 1072, 5049, 267, 6616, 602, 741, 1390, 3766, 805, 3766, 8681, 18499, 5030, 1279, 543, 6126, 2729, 7064, 547, 3621, 8906, 899, 6845, 8432, 9455, 780, 1103, 3932, 267, 1169, 1554, 938, 4703, 1689, 1317, 540, 6845, 27853, 2281, 2679, 909, 269, 2755, 649, 1810, 1405, 1616, 547, 9004, 782, 540, 873, 2094, 789, 849, 1404, 1898, 5107, 267, 4466, 2081, 547, 4383, 741, 2338, 4667, 9621, 269, 5994, 2713, 513, 4105, 267, 4830, 1272, 2484, 3564, 1018, 4896, 26770, 256, 2060, 5571, 1382, 267, 5310, 6845, 32673, 3797, 786, 1831, 606, 8723, 1907, 538, 7189, 262, 3946, 267, 4180, 18668, 11344, 1296, 585, 3025, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 13356, 5317, 8516, 281, 1018, 1281, 621, 1611, 547, 596, 888, 2691, 8516, 32339, 2097, 5679, 12177, 593, 1250, 7450, 267, 519, 6643, 3335, 737, 6506, 1055, 609, 513, 968, 25585, 9495, 634, 3210, 3592, 2141, 23929, 1472, 513, 2582, 2262, 281, 968, 7257, 6100, 1809, 267, 3180, 909, 513, 8792, 269, 1879, 649, 2161, 968, 7257, 5608, 1018, 798, 649, 2731, 1611, 888, 763, 2165, 8516, 666, 581, 14360, 1394, 547, 606, 2025, 29735, 2262, 2495, 968, 1729, 5679, 527, 892, 1107, 513, 4190, 14165, 585, 513, 1272, 10562, 1063, 1560, 267, 2247, 267, 9997, 267, 543, 6891, 269, 769, 513, 2413, 2796, 267, 621, 779, 1044, 4389, 547, 968, 1492, 2702, 547, 1685, 513, 4305, 6100, 1809, 799, 4305, 888, 6546, 779, 1141, 519, 3765, 24483, 6238, 563, 763, 968, 339, 2532, 892, 602, 649, 12314, 609, 8516, 9775, 7494, 269, 1280, 930, 267, 621, 1223, 581, 5883, 513, 2407, 1554, 693, 513, 11380, 267, 11362, 883, 3381, 3756, 267, 9284, 532, 538, 8613, 2982, 267, 610, 5260, 28666, 513, 16837, 569, 588, 2651, 269, 901, 6197, 1522, 581, 1175, 2614, 547, 20618, 607, 1373, 968, 331, 633, 1464, 3514, 892, 2443, 24569, 513, 2596, 1377, 540, 8516, 547, 2743, 519, 7569, 540, 3232, 1272, 563, 2690, 930, 267, 519, 2165, 968, 7257, 892, 19267, 513, 4605, 540, 513, 1272, 796, 16442, 1229, 269, 9320, 519, 2702, 547, 533, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 25938, 32673, 10657, 257, 607, 851, 540, 834, 4047, 22483, 1299, 32362, 1315, 31701, 14423, 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, 14297, 10754, 540, 11785, 267, 12590, 267, 1079, 2828, 3957, 16092, 543, 7665, 588, 9776, 2059, 267, 2502, 538, 1769, 27329, 6643, 896, 519, 3636, 16657, 540, 3154, 22311, 27283, 741, 2619, 269, 1306, 789, 683, 1563, 513, 844, 5593, 1435, 267, 7665, 17328, 4310, 543, 6743, 32348, 693, 16092, 267, 6031, 267, 834, 296, 4312, 3893, 513, 678, 1497, 585, 596, 3010, 297, 600, 773, 6659, 606, 32071, 992, 267, 27278, 269, 834, 2704, 2431, 1287, 267, 1577, 781, 5873, 621, 15323, 16655, 23498, 1010, 11563, 543, 3459, 267, 834, 32051, 281, 715, 12078, 11416, 3013, 269, 1849, 826, 281, 898, 7012, 1405, 11368, 607, 513, 2749, 2394, 476, 8146, 277, 282, 5310, 31783, 729, 547, 16620, 29389, 1261, 20493, 3765, 2151, 341, 3585, 267, 32261, 16092, 781, 3210, 780, 5475, 11432, 1359, 585, 1896, 8090, 267, 16092, 14452, 31113, 267, 834, 21946, 655, 256, 2334, 1590, 581, 30561, 267, 12590, 3010, 19808, 5962, 676, 16092, 781, 2656, 18854, 267, 7665, 21330, 1237, 1324, 569, 267, 834, 11039, 2944, 256, 594, 6785, 596, 941, 909, 585, 519, 4161, 1701, 1358, 4797, 6972, 1927, 2509, 519, 1435, 267, 11981, 1142, 824, 781, 2754, 780, 2026, 789, 9411, 267, 789, 8068, 513, 12699, 7521, 1851, 930, 29123, 3823, 2199, 18691, 543, 17691, 4478, 30561, 269, 23556, 539, 676, 7279, 267, 16092, 4956, 547, 6443, 519, 4901, 1247, 7665, 1904, 539, 547, 1931, 10425, 780, 4407, 3221, 532, 609, 8284, 12439, 827, 519, 25337, 654, 3558, 2558, 10118, 267, 16092, 4121, 811, 827, 875, 891, 13249, 2621, 1185, 12936, 519, 2729, 540, 1082, 17608, 1004, 269, 17957, 267, 972, 729, 849, 22906, 609, 519, 6043, 7152, 676, 1346, 945, 829, 572, 30099, 5103, 14488, 780, 19602, 267, 7665, 8120, 689, 519, 3046, 8876, 1079, 533, 6493, 540, 513, 548, 269, 16270, 4466, 1100, 1129, 540, 16092, 267, 646, 22646, 1472, 543, 6368, 19481, 1864, 9624, 519, 3303, 1243, 11407, 2282, 519, 3595, 2897, 269, 11835, 1456, 873, 267, 7665, 4362, 1776, 4494, 540, 1719, 538, 18167, 4514, 883, 1620, 3140, 2796, 2864, 982, 8806, 6061, 519, 31851, 2243, 780, 5445, 6170, 3108, 7234, 1585, 3344, 540, 1272, 1282, 602, 5736, 1107, 2069, 267, 6214, 267, 4984, 267, 2257, 267, 6575, 267, 543, 6848, 8155, 269, 1635, 3695, 1114, 16752, 267, 789, 6444, 875, 1950, 2152, 1223, 1291, 547, 3765, 24483, 543, 4250, 267, 6038, 26354, 24407, 25197, 725, 543, 1728, 3122, 807, 780, 1607, 3408, 4847, 16092, 543, 7665, 547, 5660, 519, 2956, 540, 6568, 267, 1382, 267, 543, 1930, 16490, 1145, 950, 5185, 609, 24813, 3871, 269, 5047, 267, 789, 4810, 20250, 875, 23429, 7391, 666, 10836, 689, 3838, 1702, 543, 9758, 7279, 780, 30631, 1302, 267, 789, 2451, 519, 1435, 4743, 6457, 1302, 25623, 543, 4448, 609, 1007, 29872, 1734, 269, 29303, 1753, 9944, 519, 5182, 787, 3781, 6607, 267, 7665, 5828, 547, 16092, 543, 1767, 267, 834, 12552, 585, 18656, 3101, 1250, 627, 15501, 673, 678, 26680, 9522, 697, 3010, 4415, 513, 6616, 12837, 267, 16092, 15527, 267, 834, 5591, 7064, 2556, 282, 1310, 782, 267, 3884, 1405, 1565, 3368, 519, 1187, 8119, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 2108, 19547, 9229, 27491, 281, 1411, 786, 581, 2016, 513, 31851, 23319, 267, 543, 519, 7121, 621, 12851, 547, 269, 1411, 1058, 2626, 609, 519, 1655, 2626, 602, 12851, 538, 519, 7121, 543, 568, 4330, 676, 519, 23319, 269, 1280, 16134, 267, 4267, 1058, 581, 538, 782, 2539, 524, 1078, 5022, 563, 304, 281, 21145, 281, 476, 866, 628, 595, 7728, 7838, 312, 7537, 2207, 32177, 3097, 5141, 826, 281, 898, 7012, 1405, 11368, 607, 513, 2749, 2394, 476, 8146, 277, 282, 5310, 31783, 729, 547, 16620, 2483, 288, 912, 272, 269, 13760, 519, 4305, 912, 763, 4305, 568, 547, 1265, 519, 1655, 2626, 547, 513, 31851, 2243, 267, 1141, 519, 7121, 568, 834, 866, 628, 595, 7728, 7838, 312, 7537, 2207, 32177, 257, 543, 519, 23319, 568, 834, 2005, 7012, 1405, 11368, 607, 513, 2749, 2394, 476, 8146, 277, 282, 5310, 31783, 729, 547, 16620, 29389, 269, 634, 2626, 1058, 581, 538, 782, 2539, 524, 1078, 5022, 780, 273, 269, 21302, 519, 23319, 912, 763, 23319, 5267, 602, 31783, 949, 723, 5129, 513, 1909, 538, 519, 2749, 781, 25465, 4266, 269, 901, 10522, 602, 519, 2749, 538, 2243, 814, 513, 1686, 540, 31783, 610, 18338, 8062, 780, 274, 269, 3194, 543, 2626, 912, 20059, 580, 622, 519, 1686, 540, 18338, 8062, 543, 31783, 5829, 13685, 538, 519, 2136, 2276, 267, 2523, 1472, 519, 476, 866, 628, 2540, 269, 9232, 692, 763, 1650, 1058, 11200, 998, 519, 3197, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 269, 634, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 3848, 476, 272, 281, 4985, 547, 13812, 11094, 692, 5331, 6972, 998, 513, 18932, 3039, 4104, 267, 6217, 519, 5017, 669, 597, 4771, 543, 4743, 519, 3579, 30089, 1996, 707, 2960, 269, 22582, 267, 596, 2097, 2066, 513, 4190, 20259, 21786, 1782, 538, 922, 2067, 7226, 269, 901, 23836, 13442, 267, 609, 922, 11495, 10538, 9663, 543, 3109, 26145, 267, 814, 9676, 519, 12271, 543, 4337, 5209, 540, 1004, 782, 936, 519, 1158, 269, 1809, 1705, 596, 917, 602, 713, 15999, 3662, 568, 538, 8594, 540, 7106, 8960, 11014, 286, 2334, 779, 1141, 7320, 5726, 2501, 538, 2439, 27288, 5158, 5726, 4016, 547, 7863, 3552, 2831, 267, 2371, 267, 543, 9249, 689, 5739, 1480, 2238, 899, 10122, 267, 5533, 267, 17717, 267, 543, 2916, 1689, 269, 1635, 4974, 543, 7598, 1585, 2409, 547, 18359, 891, 10475, 2200, 267, 649, 666, 2327, 602, 2104, 5481, 786, 723, 519, 4316, 547, 1995, 519, 13300, 540, 2470, 1175, 607, 649, 798, 2221, 269, 2913, 781, 4685, 4514, 883, 1018, 621, 1797, 547, 4688, 13155, 2249, 899, 519, 20259, 780, 6637, 476, 273, 281, 4197, 7736, 9734, 618, 692, 2691, 3425, 1958, 25209, 2390, 519, 11182, 540, 3552, 2831, 543, 7519, 741, 8134, 267, 1082, 2249, 7985, 269, 4256, 5095, 546, 13388, 548, 1813, 547, 2188, 971, 607, 7226, 2530, 267, 1093, 2286, 267, 543, 8519, 1426, 8244, 269, 1879, 513, 2249, 3587, 865, 4686, 602, 621, 1522, 14897, 7357, 267, 3744, 6003, 873, 834, 754, 11139, 3010, 4131, 781, 946, 519, 20259, 607, 606, 1383, 269, 25214, 267, 972, 941, 2899, 5216, 1114, 28849, 540, 27683, 887, 5446, 3047, 282, 2705, 267, 1614, 616, 1631, 17255, 1317, 540, 1480, 3527, 269, 4653, 267, 1152, 2947, 6967, 28849, 2291, 1765, 289, 1263, 531, 267, 1473, 5255, 4042, 267, 5689, 18885, 267, 590, 9200, 1014, 267, 543, 5681, 520, 3757, 27683, 11652, 789, 3068, 4049, 6937, 689, 16756, 532, 9249, 543, 1093, 18291, 945, 6968, 873, 24648, 958, 585, 741, 3407, 10652, 1206 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3017, 538, 741, 942, 256, 1809, 1018, 1281, 713, 1611, 585, 721, 2221, 267, 2713, 538, 513, 3309, 1158, 609, 1082, 1114, 4978, 286, 2913, 781, 4685, 883, 891, 3532, 6386, 1247, 3695, 875, 938, 2123, 9163, 616, 8032, 676, 519, 2984, 649, 3494, 538, 780, 4089, 476, 272, 281, 4197, 3776, 667, 5744, 2622, 454, 4131, 781, 1376, 676, 3206, 827, 519, 5863, 3099, 540, 4529, 267, 5389, 267, 543, 4978, 1336, 2066, 519, 8608, 269, 5994, 952, 3025, 5156, 4010, 519, 1482, 3364, 1107, 602, 1131, 581, 7168, 19309, 267, 1318, 286, 27009, 267, 621, 781, 1455, 585, 2043, 547, 3180, 1585, 5289, 5784, 610, 9039, 693, 782, 269, 901, 4763, 1797, 602, 1142, 1268, 814, 513, 4960, 547, 3337, 741, 3961, 1759, 593, 519, 1919, 789, 1265, 6209, 269, 1656, 1175, 899, 1022, 3661, 1062, 267, 8567, 630, 1492, 4984, 2404, 609, 519, 1715, 11620, 264, 3091, 1004, 513, 2631, 540, 10362, 267, 3483, 267, 543, 2418, 998, 922, 10752, 780, 4089, 476, 273, 281, 28038, 6468, 540, 519, 1715, 11620, 454, 3086, 1577, 781, 2743, 930, 9058, 2021, 4171, 2729, 941, 9927, 676, 741, 13341, 1369, 8567, 269, 1452, 21031, 2097, 689, 1585, 10080, 282, 789, 616, 2178, 267, 12703, 267, 17519, 267, 543, 14388, 269, 1358, 5185, 2591, 2212, 6823, 543, 2451, 9434, 24221, 593, 1346, 1472, 873, 269, 3414, 741, 2833, 267, 649, 1451, 3407, 1272, 4245, 602, 2611, 10858, 1256, 1631, 269, 2368, 540, 891, 11121, 2021, 1331, 6307, 7395, 30445, 2940, 267, 1912, 4141, 2041, 267, 2398, 4593, 8759, 267, 10370, 29953, 267, 543, 9947, 807, 780, 12244, 22830, 281, 19147, 707, 1362, 883, 1507, 2516, 267, 26471, 1142, 1895, 513, 1880, 4807, 689, 519, 1715, 11620, 269, 5620, 1142, 2319, 1382, 741, 8655, 1915, 267, 1200, 1394, 32143, 267, 10781, 267, 543, 7418, 547, 2038, 8567, 269, 3973, 267, 2307, 873, 547, 1711, 513, 2110, 1236, 527, 610, 6881, 20515, 1946, 1352, 568, 1713, 543, 1018, 3992, 4433, 264, 649, 1223, 1451, 689, 1200, 1383, 780, 4089, 476, 274, 281, 6997, 1564, 543, 5772, 885, 454, 1103, 938, 4207, 2486, 267, 10297, 948, 5581, 945, 649, 616, 543, 1921, 721, 609, 1866, 4687, 2147, 19237, 269, 1280, 10271, 267, 7114, 2933, 607, 13794, 540, 4906, 2488, 513, 5943, 585, 1620, 741, 1747, 538, 519, 1158, 269, 1717, 267, 7526, 8451, 950, 18312, 16752, 32692, 267, 2523, 1063, 8795, 12496, 540, 27403, 610, 1063, 16712, 5380, 269, 898, 781, 1898, 547, 2463, 3025, 781, 8369, 1247, 5807, 1930, 5717, 827, 938, 3604, 269, 1635, 3257, 865, 267, 649, 10802, 938, 7104, 1620, 540, 6000, 543, 519, 1950, 1158, 649, 9468, 780, 6962, 912, 2026, 649, 3460, 1927, 998, 519, 2729, 540, 891, 7415, 13400, 2021, 267, 3314, 602, 1142, 1367, 6585, 741, 2189, 1305, 540, 4978, 543, 31710, 5935, 945, 789, 616, 269, 11559, 7279, 543, 6568, 2509, 1866, 262, 10092, 1247, 9363, 3020, 547, 3054, 269, 1306, 596, 3136, 3395, 2429, 18273, 543, 3564, 267, 2141, 2015, 519, 1764, 540, 519, 2984, 596, 9784, 543, 4163, 4464, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 18814, 547, 519, 1249, 1646, 540, 4909, 1143, 596, 3580, 4584, 1519, 519, 6986, 9258, 1055, 513, 3442, 543, 3575, 267, 19467, 543, 13352, 1505, 547, 4984, 267, 972, 568, 835, 1259, 1141, 646, 568, 4143, 281, 519, 1259, 538, 799, 4984, 2119, 513, 2707, 540, 6003, 269, 589, 1259, 547, 3489, 2165, 568, 2965, 2760, 2479, 2808, 607, 513, 2934, 547, 4865, 4984, 540, 519, 20736, 330, 8583, 6382, 14100, 267, 1317, 519, 2950, 729, 8197, 16912, 539, 1141, 513, 2603, 540, 1004, 723, 1044, 3909, 543, 811, 982, 1004, 8068, 538, 9838, 4984, 269, 10738, 519, 513, 9867, 267, 12683, 2065, 543, 596, 666, 2518, 2213, 2146, 267, 602, 568, 991, 1652, 547, 2161, 1100, 811, 707, 3510, 543, 4061, 10764, 519, 4195, 1909, 568, 607, 513, 2707, 540, 6003, 267, 3006, 7920, 569, 4371, 543, 596, 949, 29846, 1996, 9571, 14213, 689, 824, 5132, 338, 610, 16712, 5314, 563, 2414, 723, 10370, 582, 731, 267, 7947, 532, 1558, 534, 1551, 2510, 267, 19838, 12550, 2413, 626, 2035, 971, 607, 585, 3236, 14100, 1143, 855, 849, 2564, 6436, 267, 5849, 602, 4984, 3274, 1776, 1650, 267, 733, 2056, 1818, 946, 540, 519, 4896, 3116, 269, 13391, 3861, 733, 324, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 18131, 540, 519, 1715, 11620, 257, 607, 851, 540, 834, 16300, 13493, 1315, 15215, 1315, 6426, 12267, 1315, 1715, 11620, 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, 17345, 5149, 281, 10435, 14559, 6732, 998, 23093, 26511, 692, 5970, 596, 2479, 4862, 540, 27143, 286, 1358, 616, 899, 5925, 2982, 602, 596, 666, 6432, 547, 8164, 596, 1616, 256, 1411, 1810, 1405, 991, 513, 2027, 3926, 547, 1404, 873, 282, 596, 666, 1265, 873, 2228, 1210, 707, 2780, 610, 1256, 707, 6049, 269, 3509, 1004, 1711, 741, 1378, 27143, 827, 782, 12204, 540, 3584, 789, 2648, 267, 971, 607, 2575, 267, 5026, 267, 2835, 267, 610, 3381, 3756, 269, 1809, 1705, 596, 917, 602, 596, 1223, 849, 7118, 2724, 676, 2870, 707, 1360, 1378, 15264, 286, 2334, 781, 1318, 256, 2913, 803, 2995, 596, 875, 780, 5575, 267, 1577, 781, 2911, 827, 1018, 2306, 909, 513, 3811, 15264, 269, 1703, 616, 1614, 1271, 1919, 547, 2015, 281, 1390, 1543, 267, 10121, 19700, 267, 543, 2500, 13319, 269, 4279, 1543, 1797, 2348, 1945, 4277, 543, 2189, 547, 2671, 602, 786, 1832, 707, 19700, 7722, 269, 700, 5819, 19700, 616, 1346, 945, 1413, 4464, 547, 1142, 1007, 12558, 543, 949, 1256, 2995, 741, 2828, 827, 707, 1397, 269, 13229, 13319, 3322, 4687, 707, 15264, 593, 1114, 7270, 543, 1514, 2923, 5867, 865, 811, 1004, 666, 3605, 621, 780, 3086, 602, 596, 1174, 519, 9238, 540, 513, 1434, 15264, 267, 1934, 616, 930, 2081, 596, 666, 2490, 707, 6612, 883, 7443, 1384, 272, 269, 2878, 8967, 976, 832, 4721, 4995, 14992, 2628, 10540, 322, 7539, 547, 3895, 741, 2472, 1282, 14501, 269, 5994, 952, 513, 2442, 11080, 2754, 4941, 9358, 547, 2911, 827, 741, 5767, 3014, 5305, 593, 22400, 15264, 256, 1215, 3579, 1131, 602, 581, 286, 634, 1883, 547, 3478, 13384, 832, 568, 2679, 513, 2178, 2078, 609, 707, 19700, 1317, 3549, 4782, 2324, 609, 10540, 322, 7539, 945, 2907, 723, 6131, 11655, 563, 273, 269, 2878, 288, 742, 559, 5573, 16373, 5093, 901, 4640, 3322, 5009, 824, 4213, 262, 2472, 543, 15980, 513, 10243, 950, 2576, 16306, 998, 707, 29748, 3095, 269, 1280, 1383, 267, 952, 596, 2689, 4604, 3756, 593, 707, 15264, 267, 596, 1223, 1831, 606, 24988, 7649, 585, 8835, 543, 4363, 1808, 3756, 585, 707, 19700, 547, 4444, 563, 274, 269, 2878, 7093, 26606, 12474, 5093, 1403, 707, 2834, 14501, 616, 2139, 585, 1863, 267, 2015, 5356, 3063, 829, 802, 585, 9878, 32224, 269, 1452, 970, 6652, 1223, 1331, 3297, 7308, 27214, 25333, 2984, 267, 12600, 11042, 267, 610, 2038, 1569, 547, 14232, 14501, 269, 1635, 12123, 513, 1507, 13927, 585, 713, 14167, 1543, 267, 596, 666, 5352, 3606, 4747, 1247, 1869, 3246, 7899, 540, 1871, 585, 1863, 563, 275, 269, 2878, 290, 992, 4206, 27448, 22411, 338, 5093, 15107, 13257, 899, 918, 1157, 560, 6621, 543, 4793, 516, 517, 1450, 15888, 547, 6318, 7482, 689, 18793, 269, 674, 753, 3565, 2724, 2901, 607, 513, 835, 6066, 8569, 610, 5571, 10865, 1489, 269, 1306, 513, 18351, 540, 7071, 267, 596, 1223, 2709, 12587, 1759, 593, 1585, 9295, 2157, 267, 971, 607, 22551, 8083, 593, 707, 15264, 610, 3908, 7160, 25584, 563, 276, 269, 2878, 299, 633, 15638, 5093, 4495, 596, 1628, 513, 4396, 26575, 3490, 267, 16475, 2661, 2621, 666, 3142, 538, 8101, 15271, 269, 6056, 540, 891, 19771, 607, 2462, 2743, 5725, 1141, 596, 2170, 609, 707, 2146, 3068, 3562, 19904, 269, 29934, 4315, 1223, 7119, 538, 1627, 26031, 7886, 267, 11925, 267, 610, 3274, 13793, 856, 1927, 1247, 11981, 16152, 543, 29295, 906, 563, 277, 269, 2878, 30560, 577, 663, 2358, 5093, 5071, 543, 6133, 1187, 3688, 1644, 547, 707, 15264, 267, 899, 512, 6879, 16630, 267, 544, 13903, 267, 29654, 267, 610, 19297, 269, 2659, 15988, 753, 786, 2972, 6029, 1055, 741, 15131, 585, 707, 1397, 543, 948, 3262, 4656, 693, 519, 1482, 942, 563, 278, 269, 2878, 29410, 17352, 5093, 4858, 2738, 1419, 3914, 856, 547, 10540, 322, 7539, 6998, 873, 547, 1449, 543, 1683, 5955, 593, 741, 1007, 2472, 269, 6884, 267, 789, 6494, 1863, 5439, 1932, 256, 2755, 16561, 1587, 8039, 4465, 1405, 2047, 2322, 6666, 538, 707, 17927, 267, 1373, 1851, 519, 1101, 547, 2119, 5969, 12967, 19269, 1354, 4896, 3116, 2386, 4992, 15813, 267, 3085, 1405, 621, 2496, 2026, 596, 666, 1294, 267, 972, 616, 1082, 3860, 2081, 547, 1395, 564, 1125, 513, 15264, 269, 7994, 519, 2409, 602, 13469, 1034, 609, 707, 2511, 543, 3077, 5304, 269, 1656, 3314, 267, 9039, 540, 891, 3255, 2097, 16074, 1107, 11428, 267, 9639, 267, 543, 2182, 960, 616, 1898, 5820, 585, 1967, 269, 8414, 15264, 532, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 6701, 596, 10010, 547, 1395, 564, 1125, 513, 5816, 286, 5213, 1406, 31361, 269, 6787, 4881, 513, 2123, 5816, 610, 5883, 519, 4013, 5816, 593, 707, 2754, 781, 3896, 267, 1395, 564, 1944, 707, 5816, 568, 24276, 609, 519, 1318, 917, 24376, 563, 2467, 781, 1100, 3169, 4542, 547, 1376, 1818, 2724, 267, 855, 972, 616, 2994, 596, 666, 1376, 19234, 609, 547, 1294, 1018, 1568, 1655, 585, 707, 1543, 267, 707, 1870, 267, 543, 707, 5304, 269, 12989, 267, 649, 3513, 4685, 883, 930, 540, 891, 2093, 543, 1205, 5796, 689, 16735, 8967, 582, 781, 1378, 5816, 3401, 563, 10673, 1406, 723, 513, 5816, 2943, 286, 3143, 17570, 269, 16735, 8967, 582, 779, 1863, 5816, 20536, 666, 1205, 596, 3323, 593, 707, 1543, 3460, 609, 513, 2688, 5816, 538, 3764, 563, 8368, 540, 12937, 454, 2691, 596, 1589, 827, 5816, 3101, 267, 596, 1522, 1589, 602, 621, 781, 513, 2603, 540, 960, 585, 2370, 8007, 269, 1717, 267, 5816, 3101, 666, 581, 835, 540, 519, 1283, 2081, 596, 5397, 8907, 547, 707, 6216, 610, 2754, 269, 18248, 1395, 564, 1436, 568, 519, 1184, 540, 1818, 2724, 689, 707, 5816, 267, 2436, 621, 781, 585, 513, 2123, 6216, 610, 707, 13055, 2754, 563, 1692, 798, 21075, 1118, 2724, 888, 6524, 649, 4685, 883, 519, 1395, 564, 1436, 2054, 328, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 19766, 21585, 1315, 5769, 1315, 23093, 26511, 1299, 5680, 26511, 1315, 3933, 564, 1436, 11150, 585, 23093, 322, 7539, 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, 8702, 547, 606, 3078, 1007, 3184, 782, 827, 1148, 2553, 256, 4653, 649, 3513, 4685, 883, 519, 4241, 1158, 540, 2011, 1962, 5241, 543, 1451, 875, 5159, 1628, 909, 4778, 1210, 6106, 269, 901, 4480, 568, 1419, 1031, 676, 4648, 899, 16806, 543, 17855, 21706, 547, 1711, 10875, 2592, 267, 855, 621, 666, 849, 581, 513, 2603, 540, 1187, 585, 721, 547, 2119, 856, 1932, 2439, 3383, 1018, 4010, 568, 2011, 1962, 5241, 286, 4270, 267, 4952, 7206, 609, 513, 10936, 7784, 3079, 540, 513, 11453, 910, 602, 781, 9247, 1018, 2011, 1962, 5241, 568, 256, 1635, 1210, 19316, 2011, 547, 9496, 6263, 20256, 540, 5862, 5196, 513, 2627, 267, 5159 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 901, 2985, 568, 4547, 547, 596, 676, 519, 22559, 693, 1625, 16746, 630, 10059, 2517, 25717, 1263, 1501, 20580, 706, 3975, 340, 270, 264, 950, 8228, 713, 2985, 8798, 2994, 585, 3860, 1603, 563, 24478, 633, 1603, 281, 14469, 2994, 1582, 12431, 793, 906, 281, 538, 1840, 547, 7114, 9342, 538, 707, 538, 11665, 1603, 267, 1491, 4063, 540, 1018, 596, 10093, 1406, 2944, 2943, 267, 610, 269, 6056, 1507, 930, 5830, 723, 4362, 602, 519, 1259, 547, 4283, 519, 7706, 540, 9345, 568, 998, 519, 6456, 7450, 540, 513, 1507, 2680, 2802, 534, 666, 514, 568, 513, 2013, 538, 1448, 563, 10817, 728, 547, 2500, 1603, 2994, 606, 2228, 4199, 2813, 676, 519, 1921, 19107, 3845, 1565, 931, 24832, 8940, 564, 583, 1681, 3073, 30363, 676, 269, 5675, 519, 4116, 779, 4640, 3391, 676, 2848, 557, 890, 3873, 4528, 968, 21459, 892, 585, 811, 1344, 3643, 512, 339, 916, 3073, 269, 476, 279, 2994, 585, 5355, 2875, 1603, 1934, 616, 930, 540, 519, 2994, 602, 723, 7153, 585, 4543, 1053, 609, 1603, 1034, 540, 519, 2994, 616, 585, 269, 1548, 568, 3860, 1603, 3860, 1603, 568, 4376, 1141, 519, 3483, 568, 547, 2769, 4555, 267, 4606, 543, 4664, 2864, 982, 547, 3274, 6655, 1344, 269, 11819, 2866, 281, 3860, 1603, 6044, 1714, 9626, 513, 7573, 2936, 3811, 3860, 1603, 2994, 1250, 4161, 547, 873, 568, 602, 789, 3343, 269, 0, 13625, 3932, 5037, 454, 2419, 5190, 538, 2518, 4365, 1949, 7519, 519, 9194, 3270, 540, 5017, 267, 3932, 1557, 5037, 585, 1383, 269, 634, 12387, 569, 332, 1177, 330, 13941, 865, 2484, 689, 1753, 729, 513, 4686, 12136, 267, 585, 25981, 610, 22064, 1453, 538, 519, 1650, 269, 634, 1453, 1223, 4163, 5037, 3932, 1557, 856, 2417, 1382, 547, 1265, 856, 811, 827, 11549, 520, 1484, 525, 543, 875, 4365, 1949, 543, 10068, 2853, 1860, 741, 2551, 2338, 269, 1656, 4514, 543, 811, 10478, 2055, 1223, 581, 4280, 827, 2014, 543, 1198, 2073, 972, 616, 1082, 4128, 1946, 713, 1223, 723, 5949, 269, 11879, 3206, 2238, 1883, 3942, 476, 272, 2238, 31872, 272, 2534, 476, 272, 4877, 5966, 1557, 1455, 813, 454, 763, 3483, 540, 513, 1603, 13307, 1449, 568, 547, 3313, 799, 1576, 1369, 513, 1808, 1982, 1655, 13292, 513, 2875, 5037, 3932, 1557, 521, 1603, 9342, 543, 12755, 269, 19452, 267, 952, 1169, 268, 835, 2090, 543, 2853, 585, 519, 1449, 543, 782, 1685, 1134, 267, 789, 782, 4309, 27121, 269, 1280, 513, 13307, 1449, 547, 581, 3730, 267, 621, 1590, 581, 13988, 609, 513, 1982, 521, 1576, 17008, 269, 2755, 513, 2852, 1603, 13307, 1449, 568, 513, 21205, 18022, 22235, 1449, 609, 2164, 5532, 547, 1808, 1576, 1543, 267, 519, 2034, 2601, 568, 602, 519, 2893, 568, 513, 2343, 18022, 22235, 1449, 711, 13988, 609, 513, 1880, 6437, 269, 2107, 2645, 602, 616, 9862, 585, 519, 2199, 1604, 267, 519, 1655, 1259, 547, 3035, 713, 2556, 12972, 568, 998, 519, 1646, 540, 12725, 2966, 13307, 2645, 269, 10871, 13307, 4152, 3322, 2348, 1053, 10505, 1603, 5439, 602, 616, 1287, 11117, 676, 12200, 2818, 5432, 609, 519, 2199, 1576, 3681, 267, 538, 1082, 2665, 269, 4841, 1522, 581, 4280, 547, 1711, 741, 1603, 5439, 593, 21935, 267, 538, 3210, 547, 1603, 4247, 2966, 676, 12200, 267, 610, 5037, 3932, 1557, 949, 581, 2838, 547, 10505, 2823, 31987, 1397, 268, 524, 2084, 513, 3099, 540, 1603, 5439, 269, 2859, 5063, 267, 1896, 3292, 616, 19234, 609, 9859, 1582, 268, 10293, 267, 513, 1826, 540, 1582, 23829, 268, 5089, 618, 1184, 1141, 1053, 4431, 547, 2055, 5497, 547, 6318, 1582, 18221, 540, 741, 1378, 9342, 543, 12755, 538, 1603, 269, 2290, 568, 602, 513, 1449, 521, 14496, 5673, 593, 922, 5497, 946, 267, 543, 2094, 519, 2893, 729, 711, 2966, 607, 513, 13307, 1449, 267, 621, 19330, 14496, 585, 713, 3483, 269, 1403, 513, 1449, 512, 6033, 15824, 1732, 982, 476, 4792, 260, 540, 824, 1449, 512, 5474, 855, 782, 8959, 547, 2463, 519, 3652, 540, 519, 4155, 267, 1100, 835, 568, 13752, 513, 9920, 521, 12689, 269, 2107, 3292, 1522, 9192, 1053, 1582, 12431, 20156, 827, 12570, 1603, 476, 27628, 6114, 609, 741, 1603, 5439, 547, 1118, 13307, 3664, 267, 1053, 1522, 1287, 2824, 513, 1576, 1759, 593, 741, 1582, 23829, 268, 5089, 906, 269, 1703, 616, 693, 2547, 1079, 4128, 585, 7947, 532, 2893, 8464, 607, 513, 12990, 585, 13307, 4152, 267, 865, 563, 21720, 813, 1557, 454, 23558, 547, 1948, 298, 6756, 17206, 781, 1655, 543, 6505, 652, 607, 789, 941, 9976, 693, 519, 5993, 7354, 12542, 12968, 832, 1230, 341, 6327, 2063, 11016, 269, 9462, 492, 497, 1948, 290, 537, 3258, 7468, 728, 1948, 2998, 273, 651, 534, 4179, 2517, 339, 16691, 270, 313, 301, 11246, 279, 343, 325, 277, 326, 335, 17552, 6745, 342, 7867, 2593, 270, 277, 12028, 300, 333, 325, 271, 1873, 334, 1765, 3223, 534, 2160, 23670, 3827, 31822, 2998, 273, 651, 534, 264, 2904, 476, 1556, 267, 476, 1001, 279, 454, 275, 269, 21480, 942, 585, 14469, 540, 3932, 1557, 5037, 519, 1374, 269, 476, 272, 269, 8073, 513, 6437, 1374, 12233, 7768, 540, 3610, 267, 3237, 267, 2146, 2818, 267, 16984, 267, 543, 952, 3617, 267, 1053, 269, 10705, 267, 1053, 1007, 547, 513, 1153, 8664, 616, 1427, 4381, 1570, 789, 4121, 538, 741, 5449, 1153, 693, 513, 2539, 3446, 1377, 267, 610, 789, 4413, 513, 1880, 1523, 610, 1888, 1317, 621, 729, 9619, 538, 513, 2539, 3446, 693, 741, 1007, 1153, 269, 18227, 519, 6437, 7059, 3340, 6024, 5386, 2389, 12941, 607, 1134, 607, 3666, 538, 938, 6138, 543, 6530, 540, 1565, 269, 15099, 4388, 476, 276, 269, 274, 4808, 585, 6437, 1374, 519, 1739, 6898, 2697, 930, 3268, 835, 666, 1491, 538, 8888, 513, 6437, 269, 1452, 6898, 267, 6537, 689, 7422, 540, 1153, 2259, 267, 616, 10858, 547, 8726, 1374, 568, 5697, 269, 769, 513, 7059, 6437, 267, 1053, 666, 10536, 543, 946, 1702, 538, 2081, 602, 4434, 741, 2123, 267, 1514, 267, 543, 7214, 3853, 269, 30451, 11441, 547, 2285, 3617, 2597, 547, 1142, 2460, 540, 519, 1374, 267, 3666, 950, 8888, 513, 6437, 269, 476, 273, 269, 20283, 5037, 3932, 1557, 1239, 827, 3872, 2152, 543, 6700, 3435, 269, 476, 279, 269, 11512, 519, 1374, 547, 3872, 9164, 267, 2146, 2818, 267, 543, 952, 3617, 267, 1053, 269, 8178, 2436, 519, 2146, 568, 2693, 547, 3398, 519, 1374, 267, 849, 269, 476, 276, 269, 21480, 942, 585, 8086, 593, 519, 1374, 269, 1641, 19721, 6272, 267, 15226, 19721, 6272, 267, 543, 1966, 268, 10704, 6272, 269, 476, 277, 269, 6713, 1239, 593, 2139, 6437, 6272, 267, 543, 5635, 6272, 609, 2543, 547, 5383, 543, 11393, 971, 607, 1942, 267, 20319, 267, 1362, 2450, 267, 2875, 2551, 4162, 267, 1053, 4081, 9342, 267, 6631, 2329, 540, 1565, 5054, 267, 543, 6474, 609, 4540, 21195, 269, 476, 21172, 3184, 476, 275, 6437, 1374, 11347, 6437, 6272, 6437, 3334, 666, 581, 6896, 538, 3875, 2081, 269, 1717, 267, 5103, 782, 519, 4901, 827, 2022, 19640, 5784, 540, 1702, 543, 2870, 21195, 585, 1514, 4656, 543, 552, 812, 322, 11692, 267, 1034, 6437, 6272, 616, 12381, 610, 12496, 540, 1614, 536, 607, 545, 6272, 269, 476, 274, 269, 8073, 513, 8430, 585, 11401, 547, 1118, 6437, 17393, 793, 3664, 269, 6011, 547, 1439, 606, 12819, 1557, 454, 26222, 1242, 7569, 585, 2799, 2924, 5037, 3932, 1557, 547, 519, 2749, 543, 8763, 7125, 585, 3152, 8901, 5126, 543, 6237, 9111, 267, 789, 616, 3976, 20244, 8901, 6811, 269, 898, 568, 22566, 540, 513, 3395, 1899, 540, 3346, 1063, 5640, 538, 8731, 15193, 543, 17485, 2587, 7062, 269, 15348, 538, 519, 2518, 2749, 267, 476, 26783, 3670, 27964, 593, 519, 2022, 5471, 24227, 538, 1010, 9295, 547, 513, 8521, 5765, 1433, 12995, 676, 1266, 514, 568, 514, 269, 7126, 267, 9111, 543, 1747, 267, 736, 887, 764, 334, 13187, 602, 519, 5624, 2813, 676, 519, 1950, 543, 17326, 7645, 3157, 540, 14051, 723, 1831, 7580, 4609, 585, 519, 5250, 540, 30427, 9163, 543, 2950, 543, 519, 7222, 11944, 540, 1007, 2010, 540, 6811, 1369, 891, 9927, 5624, 269, 4029, 891, 6811, 547, 1997, 1049, 2924, 543, 519, 5121, 540, 18523, 6278, 602, 3895, 873, 616, 16135, 538, 543, 6508, 689, 13883, 2853, 602, 616, 1140, 25293, 547, 519, 1808, 11585, 540, 519, 2518, 1242, 2749, 15696, 542, 267, 543, 2523, 547, 1346, 5624, 540, 3017, 17695, 1242, 607, 3791, 2230, 267, 26477, 7190, 267, 10665, 267, 519, 538, 24992, 267, 610, 19114, 269, 1306, 30118, 1738, 607, 4376, 3116, 540, 4207, 4683, 14051, 543, 30427, 2686, 9542, 267, 891, 1007, 4683, 8901, 5322, 616, 3384, 1034, 3196, 2685, 689, 519, 10053, 4903, 331, 9593, 725, 540, 19366, 5095, 543, 519, 2324, 4057, 269, 2349, 5255, 338, 12031, 729, 2854, 896, 519, 3119, 15569, 540, 544, 19376, 588, 528, 704, 543, 14646, 22304, 10458, 267, 609, 3606, 5796, 689, 519, 1459, 2278, 267, 782, 523, 1085, 2714, 267, 543, 824, 12200, 693, 579, 743, 320, 4877, 619, 24070, 1557, 19875, 454, 5591, 2770, 742, 543, 10544, 12139, 267, 621, 568, 12422, 19486, 1851, 519, 1283, 4557, 5037, 3932, 1557, 1655, 6280, 17476, 267, 13629, 519, 960, 540, 971, 2442, 5830, 607, 3046, 787, 561, 2100, 345, 267, 1768, 787, 10917, 652, 13275, 338, 267, 3915, 544, 1188, 756, 17754, 267, 543, 524, 2106, 628, 807, 12063, 1157, 269, 7054, 516, 935, 4290, 762, 4744, 28585, 536, 6929, 798, 1803, 4535, 538, 1007, 26294, 2749, 538, 2073, 536, 6929, 798, 1803, 267, 5067, 540, 513, 11356, 9375, 543, 513, 22064, 4116, 267, 8057, 909, 538, 513, 1804, 3352, 880, 18216, 4301, 1920, 593, 1279, 6532, 2282, 795, 2158, 11824, 269, 3503, 606, 1557, 538, 799, 596, 8044, 1996, 971, 5037, 3932, 1557, 4630, 4094, 1436, 607, 513, 3463, 547, 6237, 267, 2686, 267, 543, 1367, 9163, 269, 2991, 4271, 908, 689, 711, 516, 546, 877, 6280, 538, 2073, 646, 5249, 607, 513, 11356, 543, 12139, 19784, 538, 536, 10667, 267, 669, 8522, 267, 543, 267, 1034, 5063, 267, 2823, 1633, 267, 522, 13791, 267, 1141, 646, 1196, 1080, 2823, 1633, 12139, 267, 519, 6280, 540, 2823, 4133, 620, 30282, 12139, 269, 12706, 707, 1557, 593, 513, 2178, 5098, 267, 543, 581, 2386, 547, 946, 1806, 689, 707, 1378, 2833, 267, 7422, 267, 543, 2542, 27769, 2163, 894, 1557, 1806, 1647, 1153, 454, 2304, 5106, 267, 513, 1557, 3932, 5037, 1543, 267, 543, 513, 1587, 269, 1924, 602, 519, 2698, 1297, 540, 2188, 568, 2799, 689, 547, 267, 646, 8237, 519, 3119, 2790, 5759, 543, 3773, 1007, 3283, 269, 808, 269, 623, 269, 2871, 559, 5112, 6069, 606, 10137, 540, 555, 584, 7723, 521, 3069, 602, 16621, 555, 584, 268, 6149, 521, 2188, 1247, 4946, 1082, 1866, 269, 1703, 616, 2947, 1557, 3932, 5037, 5686, 540, 4238, 269, 2871, 559, 268, 585, 323, 5206, 602, 1169, 2790, 4305, 3340, 1614, 2609, 269, 6684, 267, 884, 1301, 534, 729, 5555, 7142, 547, 598, 1027, 324, 519, 6228, 540, 1895, 2188, 971, 607, 1346, 4857, 676, 555, 584, 7723, 269, 2871, 559, 5112, 3182, 3293, 519, 6935, 1851, 891, 1614, 2609, 607, 602, 540, 513, 13306, 267, 609, 1142, 540, 519, 2609, 268, 6016, 725, 267, 9115, 267, 543, 2472, 268, 8204, 513, 10155, 540, 519, 13306, 269, 1809, 884, 1301, 534, 5156, 602, 891, 1895, 2188, 941, 540, 2370, 2956, 269, 0, 9213, 594, 4280, 1250, 476, 277, 628, 17603, 547, 1592, 1079, 610, 1614, 4928, 3652, 602, 786, 948, 1711, 513, 2318, 1565, 1604, 563, 2080, 616, 513, 1906, 540, 1250, 29202, 912, 10673, 1405, 1404, 609, 4376, 538, 1362, 563, 6826, 8799, 543, 2186, 547, 707, 1007, 15032, 563, 10673, 1405, 581, 10978, 563, 10673, 1405, 1413, 593, 824, 1004, 781, 4574, 563, 5591, 8840, 4376, 538, 519, 1362, 563, 5591, 1236, 6235, 1362, 563, 5591, 11648, 3214, 585, 741, 12899, 2724, 563, 5591, 10912, 24455, 4408, 563, 10673, 1405, 1413, 3765, 30514, 782, 519, 942, 563, 6826, 2318, 782, 519, 942, 269, 1411, 666, 1405, 723, 513, 2318, 4055, 952, 519, 4116, 543, 1053, 616, 20158, 563, 5591, 32415, 540, 2123, 2230, 563, 5591, 29405, 532, 540, 1022, 2186, 563, 2710, 711, 5734, 267, 12235, 610, 14736, 563, 6826, 2186, 543, 7874, 547, 707, 9905, 1256, 952, 789, 616, 1611, 547, 596, 563, 638, 924, 3274, 2322, 2483, 9336, 7853, 781, 20944, 23985, 910, 9050, 3108, 1310, 646 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 543, 8639, 593, 519, 9165, 3948, 269, 901, 1788, 9165, 3948, 2488, 519, 4214, 540, 519, 1788, 1765, 6343, 786, 581, 12913, 1282, 519, 1272, 540, 713, 1788, 713, 3561, 9607, 543, 6054, 519, 563, 300, 25514, 3631, 267, 9165, 267, 543, 4358, 519, 1788, 649, 4126, 596, 2461, 9599, 827, 519, 1788, 602, 649, 2811, 4358, 547, 1628, 4534, 649, 2386, 616, 713, 4367, 547, 9165, 1547, 1323, 4367, 547, 1788, 2359, 267, 11359, 7160, 3184, 476, 272, 606, 4367, 547, 1788, 267, 630, 2889, 915, 5610, 543, 9165, 2359, 264, 476, 11820, 269, 1306, 513, 1788, 9614, 267, 596, 3513, 991, 547, 5581, 1788, 9165, 1100, 2339, 1018, 12191, 596, 3442, 547, 946, 10747, 1018, 568, 2877, 568, 519, 1101, 1900, 4724, 9591, 513, 1788, 15415, 267, 4259, 540, 1788, 3853, 543, 782, 20814, 1788, 2200, 891, 3268, 786, 948, 596, 547, 5581, 519, 960, 602, 2115, 1547, 0, 1692, 547, 2328, 1022, 1557, 1101, 540, 782, 267, 621, 568, 1271, 547, 2491, 1018, 519, 2262, 10282, 1797, 621, 568, 513, 3575, 540, 2609, 1031, 547, 2721, 519, 2898, 4605, 519, 1292, 1967, 3815, 540, 1603, 513, 1434, 10282, 1557, 568, 606, 538, 3829, 1382, 1759, 593, 519, 4143, 2959, 513, 2875, 814, 547, 13498, 519, 3804, 540, 269, 1677, 2328, 606, 1557, 835, 1058, 2628, 3007, 547, 2497, 267, 4367, 267, 3259, 540, 519, 1560, 267, 543, 3932, 519, 1101, 1900, 540, 1603, 606, 1557, 713, 2376, 3947, 513, 2596, 5583, 547, 1053, 547, 2328, 513, 1434, 1557, 621, 6941, 1018, 606, 1557, 568, 267, 945, 11339, 621, 267, 519, 2010, 540, 3594, 267, 6163, 543, 3898, 540, 269, 1215, 547, 13712, 606, 1557, 2436, 596, 2811, 513, 1164, 1153, 2875, 610, 513, 3318, 5856, 267, 596, 949, 991, 547, 13712, 707, 2959, 1210, 513, 1808, 11249, 2511, 713, 3184, 9388, 1152, 609, 2241, 543, 1455, 1806, 593, 875, 547, 2328, 3723, 16694, 543, 1439, 16694, 14327, 563, 1692, 666, 835, 2328, 606, 1557, 3025, 5870, 519, 1966, 12134, 713, 2243, 519, 5528, 2016, 1934, 616, 2489, 543, 616, 827, 875, 547, 2328, 476, 276, 24733, 4588, 3594, 267, 16075, 267, 875, 547, 2328, 12819, 3584, 267, 2014, 27160, 977, 3594, 267, 8760, 3594, 267, 6476, 270, 4186, 2858, 267, 2565, 269, 19098, 1557, 14318, 1557, 19795, 1557, 22884, 1557, 948, 28621, 1938, 270, 15276, 28621, 1938, 270, 6189, 1557, 6575, 1557, 1870, 1557, 1126, 3249, 4352, 713, 4992, 6654, 267, 621, 568, 513, 5578, 799, 1034, 1053, 991, 547, 1020, 607, 9039, 540, 721, 616, 4535, 609, 519, 2067, 2702, 547, 2328, 606, 1557, 269, 1215, 547, 2328, 1022, 5686, 540, 1557, 1603, 3391, 1603, 606, 7291, 568, 711, 8078, 2218, 4966, 4363, 1603, 713, 851, 267, 538, 1022, 2013, 267, 547, 2061, 3054, 689, 6849, 513, 13712, 1169, 11239, 1031, 538, 519, 1257, 4704, 519, 2959, 1683, 1142, 7127, 538, 519, 8100, 2985, 2687, 547, 519, 563, 16240, 3594, 610, 1557, 814, 922, 1378, 2027, 3652, 538, 1840, 267, 596, 786, 991, 1702, 540, 519, 21342, 2497, 540, 519, 1893, 543, 513, 9425, 1804, 952, 596, 616, 1603, 606, 1557, 17393, 5524, 267, 585, 1383, 267, 4766, 513, 1268, 267, 621, 1590, 2874, 540, 606, 4367, 267, 799, 1058, 4766, 519, 2596, 269, 634, 1625, 16746, 6280, 2228, 1603, 2978, 5713, 5830, 689, 1472, 519, 1158, 543, 519, 1625, 16746, 6280, 1603, 2978, 2337, 5830, 593, 1625, 16746, 781, 2489, 4808, 519, 2707, 1344, 2838, 538, 513, 2385, 16375, 11239, 5673, 630, 272, 264, 2390, 519, 2707, 5420, 630, 1122, 1820, 267, 1357, 267, 546, 341, 323, 264, 543, 269, 14474, 1154, 606, 1557, 666, 581, 811, 24858, 982, 1603, 621, 513, 1434, 3210, 849, 10530, 519, 2959, 621, 20781, 547, 267, 2523, 950, 4280, 547, 3858, 267, 10990, 610, 2992, 547, 2328, 606, 1557, 3210, 609, 14327, 267, 946, 3551, 11249, 267, 538, 17856, 14327, 267, 543, 513, 1568, 11855, 2985, 269, 1403, 6999, 547, 1265, 856, 875, 547, 1039, 14327, 547, 606, 4081, 1957, 267, 1224, 593, 952, 596, 1039, 513, 11239, 1510, 9306, 621, 5265, 267, 707, 5304, 786, 723, 8373, 1620, 707, 1448, 2328, 513, 7008, 540, 2093, 547, 1459, 519, 2796, 543, 1287, 8399, 676, 4946, 19722, 7436, 547, 519, 23650, 563, 2690, 519, 5301, 540, 1603, 606, 1557, 782, 596, 991, 547, 798, 568, 2328, 1524, 707, 2093, 12341, 2394, 596, 723, 513, 1434, 2856, 1018, 596, 9364, 899, 547, 798, 707, 1557, 950, 1603, 606, 10763, 610, 13181, 1557, 596, 1058, 2611, 791, 5966, 3251, 2476, 689, 596, 781, 543, 1775, 781, 519, 1152, 942, 1775, 1131, 4363, 1210, 269, 1215, 1058, 1775, 1935, 19795, 4574, 1603, 606, 1557, 538, 19795, 568, 1360, 2147, 547, 1603, 606, 12819, 1557, 538, 824, 10459, 519, 2596, 3652, 585, 10236, 1670, 11239, 2853, 666, 581, 1336, 538, 519, 513, 12711, 630, 26410, 10236, 1670, 7681, 264, 2511, 3391, 269, 3502, 2386, 875, 547, 2328, 513, 24563, 336, 649, 3513, 3802, 596, 998, 519, 2347, 1184, 540, 8600, 585, 543, 1603, 835, 540, 891, 16602, 3284, 3594, 1287, 1775, 3513, 979, 936, 930, 2596, 267, 13654, 1557, 2914, 3876, 1983, 543, 875, 547, 1628, 873, 1310, 602, 1775, 3513, 2736, 1524, 519, 593, 547, 519, 1985, 5578, 10128, 14327, 269, 1215, 547, 2328, 513, 3446, 513, 1557, 1557, 2497, 630, 28781, 519, 3239, 547, 23822, 264, 707, 4555, 991, 547, 581, 2312, 543, 5276, 585, 513, 1390, 1557, 519, 1101, 1900, 538, 707, 1557, 1603, 1184, 568, 547, 2097, 909, 609, 513, 1888, 543, 1287, 1711, 606, 7291, 23730, 786, 948, 596, 2097, 909, 609, 513, 1888, 8259, 835, 814, 563, 1692, 547, 2328, 606, 13181, 1557, 519, 13016, 1557, 4214, 568, 7168, 3551, 621, 6645, 596, 950, 891, 10467, 616, 2877, 538, 2852, 596, 9364, 2356, 1376, 606, 12819, 1557, 676, 4758, 930, 4282, 593, 519, 1888, 543, 19696, 930, 2959, 1134, 267, 602, 1522, 581, 606, 22350, 6101, 1376, 585, 269, 1215, 547, 2328, 513, 1434, 12819, 1557, 281, 9266, 2497, 630, 322, 15560, 628, 9722, 339, 583, 3645, 338, 1260, 3842, 596, 32353, 264, 713, 3476, 3381, 5850, 3947, 606, 7650, 713, 2228, 1907, 2636, 596, 547, 3403, 1344, 827, 707, 2707, 543, 8850, 5352, 14327, 538, 1022, 2511, 581, 2386, 547, 2824, 707, 4199, 269, 4828, 14327, 910, 1557, 1603, 948, 513, 2596, 3391, 593, 875, 547, 5265, 13712, 707, 2959, 538, 606, 1557, 1913, 267, 5220, 267, 9433, 543, 14327, 1590, 581, 11231, 547, 1683, 27194, 543, 7833, 640, 267, 875, 547, 2328, 513, 15853, 910, 8051, 1603, 1982, 1923, 512, 2089, 773, 621, 568, 782, 519, 4143, 269, 1215, 547, 2328, 11239, 11239, 11239, 568, 835, 540, 519, 2101, 4170, 540, 782, 540, 519, 1382, 4574, 2854, 543, 782, 540, 519, 7214, 960, 267, 1100, 2339, 8726, 519, 2361, 596, 616, 538, 10416, 267, 11239, 568, 519, 1259, 540, 10213, 519, 3988, 827, 519, 2959, 596, 723, 8246, 538, 602, 1808, 960, 269, 5675, 543, 12180, 707, 1957, 538, 606, 2500, 1259, 713, 3296, 540, 938, 3391, 6212, 593, 1697, 1957, 3173, 1331, 5618, 2385, 16375, 14327, 538, 741, 1603, 547, 11760, 8100, 547, 824, 16643, 3898, 4574, 3334, 281, 707, 1557, 1058, 1331, 891, 2185, 2101, 6810, 563, 1692, 547, 2328, 606, 7005, 1557, 2947, 2694, 281, 1326, 1154, 3323, 323, 2761, 532, 519, 1557, 516, 341, 2358, 519, 1557, 680, 8911, 707, 3594, 2217, 3594, 10919, 640, 596, 786, 991, 547, 1683, 13366, 585, 1142, 540, 519, 2959, 602, 596, 1031, 621, 568, 2556, 547, 1331, 606, 538, 17856, 11239, 585, 1022, 1344, 602, 596, 10839, 269, 1411, 991, 547, 2328, 606, 1557, 540, 4487, 1362, 7005, 8239, 568, 18106, 1510, 3594, 1317, 972, 616, 3594, 602, 1577, 1053, 547, 917, 827, 8164, 596, 1376, 1603, 606, 1557, 267, 596, 991, 547, 5581, 513, 1808, 942, 2687, 547, 519, 981, 942, 621, 568, 1271, 547, 2285, 513, 21120, 585, 606, 1557, 269, 1403, 596, 2811, 1603, 606, 6268, 1557, 827, 544, 19376, 1183, 26293, 781, 24575, 540, 10627, 2006, 267, 1519, 3877, 827, 519, 3003, 10627, 2006, 29929, 568, 1932, 3376, 952, 596, 2811, 1869, 711, 2386, 952, 596, 917, 875, 547, 2328, 606, 1557, 4367, 602, 1568, 267, 1946, 711, 723, 835, 540, 938, 737, 756, 514, 15769, 1491, 513, 1413, 693, 707, 1957, 269, 901, 13801, 3391, 547, 1603, 606, 1557, 676, 943, 323, 7548, 16320, 3415, 795, 3775, 321, 1231, 786, 948, 596, 2497, 606, 1557, 4739, 1697, 14327, 543, 12190, 13132, 5265, 19696, 2959, 875, 1082, 8100, 610, 2959, 798, 596, 991, 513, 4341, 540, 14853, 568, 835, 1434, 267, 11215, 4704, 538, 1142, 5037, 563, 1103, 713, 2376, 267, 649, 3513, 4983, 875, 547, 2328, 513, 1957, 1739, 519, 2035, 2322, 4464, 676, 519, 15986, 519, 2413, 1893, 7681, 630, 332, 5055, 264, 10311, 922, 7840, 585, 875, 547, 3898, 606, 1557, 1169, 865, 1082, 1296, 519, 1034, 2487, 15986, 1557, 3898, 4808, 941, 3370, 538, 519, 15986, 25156, 269, 4208, 568, 1603, 606, 1557, 865, 24858, 1565, 875, 547, 2328, 606, 1557, 3085, 1405, 723, 547, 4125, 865, 1454, 4693, 543, 5470, 596, 3513, 723, 547, 4990, 998, 621, 899, 513, 15602, 812, 25061, 585, 1426, 538, 513, 29746, 3122, 1589, 827, 875, 8799, 621, 1131, 581, 3079, 547, 1224, 513, 3184, 689, 513, 1433, 1247, 14084, 538, 5127, 269, 0, 19187, 1888, 5220, 543, 13289, 616, 1883, 547, 1818, 707, 3656, 1603, 2653, 547, 1224, 5220, 1450, 513, 5467, 547, 14678, 917, 1018, 513, 5037, 781, 1445, 269, 21846, 1913, 585, 10388, 3594, 1118, 621, 1434, 269, 1677, 2087, 707, 1603, 596, 991, 547, 1118, 2386, 602, 707, 2093, 267, 1312, 538, 5220, 1210, 1434, 5912, 1913, 585, 10388, 3594, 568, 1271, 547, 1118, 707, 563, 1607, 30453, 786, 6338, 596, 547, 930, 3730, 27139, 7215, 543, 948, 13289, 3112, 12990, 585, 1434, 3919, 267, 855, 789, 666, 1118, 707, 540, 707, 4661, 610, 4901, 883, 513, 19618, 267, 17396, 267, 543, 10388, 2898, 269, 20861, 3381, 7713, 519, 946, 540, 5912, 1913, 547, 7794, 606, 12819, 1557, 269, 5149, 476, 1015, 2014, 267, 5635, 267, 543, 22321, 1765, 22967, 1913, 688, 326, 1068, 344, 849, 27139, 1913, 543, 2453, 1397, 519, 2078, 1063, 2093, 1711, 1628, 1390, 5830, 998, 22488, 1983, 602, 533, 1664, 1053, 262, 7279, 827, 13289, 538, 563, 2080, 616, 930, 1455, 27139, 1913, 543, 2453, 602, 786, 948, 596, 1291, 707, 5467, 998, 707, 5888, 9266, 13289, 547, 6338, 1776, 1547, 15147, 2985, 540, 519, 949, 7615, 25156, 540, 2930, 1299, 3621, 1603, 2488, 1806, 540, 930, 1455, 543, 3730, 27139, 1913, 543, 2453, 563, 10870, 531, 819, 540, 25164, 3315, 7370, 543, 519, 3909, 1259, 267, 789, 786, 1852, 581, 2386, 3932, 4661, 1434, 5912, 1913, 585, 1557, 1686, 609, 3237, 585, 4357, 269, 4635, 1434, 5912, 1913, 585, 10388, 3594, 568, 1271, 547, 1118, 707, 1557, 6060, 1655, 2164, 543, 1205, 513, 10639, 609, 707, 7548, 269, 700, 714, 5451, 337, 4048, 320, 1434, 5912, 1913, 585, 3594, 4759, 540, 2319, 543, 1745, 607, 1498, 1826, 540, 10388, 1557, 1913, 1268, 547, 2328, 1018, 1775, 1589, 563, 9558, 1431, 267, 610, 16046, 1913, 267, 1847, 519, 5304, 998, 10388, 1603, 609, 8897, 950, 707, 3791, 3446, 267, 8772, 3446, 267, 610, 11359, 3446, 269, 3690, 1431, 281, 1913, 610, 2453, 602, 1397, 875, 5220, 610, 2093, 1921, 547, 1142, 538, 713, 1603, 1449, 596, 786, 2328, 513, 10388, 1557, 547, 18609, 519, 5467, 540, 269, 21846, 531, 1913, 616, 1031, 547, 1397, 875, 2093, 616, 4448, 707, 2093, 267, 519, 5467, 786, 4440, 7696, 741, 1378, 4555, 1765, 2254, 2141, 513, 1434, 2856, 27139, 1913, 616, 1360, 3730, 538, 10388, 1603, 1317, 789, 948, 596, 1397, 269, 9978, 5912, 1913, 10388, 3594, 16878, 3594, 547, 1921, 1101, 5037, 547, 2034, 281, 547, 1921, 1101, 5037, 547, 2034, 269, 1215, 547, 946, 5912, 1913, 543, 2453, 538, 606, 1557, 1210, 1434, 5912, 1913, 585, 10388, 3594, 568, 1271, 547, 1118, 707, 1557, 6060, 1655, 2164, 563, 16123, 375, 10520, 819, 1913, 543, 2453, 2099, 835, 1259, 540, 11543, 25843, 1978, 6368, 267, 5162, 6770, 803, 1390, 7772, 1317, 1775, 2141, 19065, 375, 538, 3932, 19065, 375, 13440, 718, 281, 10388, 3594, 786, 2307, 596, 547, 22321, 610, 18609, 707, 563, 9558, 819, 1913, 10388, 1557, 910, 24440, 3406, 1434, 5912, 1913, 547, 946, 538, 3594, 1018, 798, 596, 798 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 20029, 269, 476, 1556, 6285, 4957, 519, 2136, 2276, 538, 513, 3126, 540, 2686, 267, 1514, 543, 2797, 2081, 269, 2755, 519, 2112, 593, 9810, 986, 2471, 593, 267, 547, 519, 669, 698, 12541, 540, 930, 543, 519, 771, 323, 664, 540, 1866, 267, 7654, 519, 1034, 3978, 6370, 2921, 1747, 568, 593, 772, 2529, 269, 3037, 269, 901, 2112, 3884, 1406, 10692, 609, 23038, 543, 32205, 267, 1498, 563, 7212, 519, 6285, 3576, 1747, 936, 5216, 1296, 3516, 267, 519, 13842, 10963, 1996, 12356, 267, 29240, 543, 27566, 338, 3136, 269, 2986, 891, 1614, 2516, 267, 2705, 267, 519, 27566, 338, 3100, 547, 4309, 519, 20015, 660, 540, 6285, 1759, 593, 5920, 4805, 269, 769, 1249, 267, 519, 1032, 1310, 519, 6285, 267, 519, 1297, 540, 27566, 338, 945, 941, 6408, 1242, 729, 11157, 8696, 2053, 2362, 267, 2687, 547, 3540, 23412, 3820, 269, 4340, 547, 519, 1867, 267, 2947, 2600, 540, 782, 13842, 10963, 8149, 538, 519, 772, 2529, 269, 602, 1032, 941, 9859, 4724, 27566, 338, 267, 543, 476, 4366, 272, 27566, 338, 941, 9601, 540, 13842, 10963, 563, 6097, 547, 519, 1715, 3840, 11545, 5240, 32586, 1715, 3840, 10966, 7040, 26722, 513, 476, 866, 4458, 6040, 812, 689, 19803, 547, 476, 5197, 3108, 540, 2146, 3028, 1310, 646, 7142, 513, 27566, 812, 883, 513, 19880, 543, 695, 8491, 1010, 2212, 269, 1280, 27566, 338, 267, 1279, 4552, 568, 513, 3909, 2688, 267, 543, 5969, 835, 779, 4552, 568, 513, 18670, 540, 2245, 563, 306, 1731, 11297, 568, 513, 12560, 4984, 269, 1703, 616, 2110, 27513, 1206, 540, 5208, 538, 922, 4282, 267, 799, 5949, 607, 27566, 338, 10692, 585, 7115, 538, 3127, 1282, 519, 3735, 476, 2735, 271, 338, 543, 2038, 476, 1960, 271, 338, 563, 296, 729, 711, 3222, 540, 519, 6708, 540, 27566, 13842, 10963, 2394, 513, 3978, 835, 3576, 1747, 1079, 3108, 689, 1250, 554, 32528, 538, 22208, 269, 4340, 547, 519, 22208, 8648, 267, 513, 1743, 684, 5287, 18213, 14697, 958, 16091, 1010, 9348, 9920, 267, 945, 729, 513, 27566, 812, 9849, 513, 2881, 3316, 563, 763, 4323, 729, 711, 1152, 26648, 538, 602, 621, 5949, 1510, 513, 16048, 2601, 630, 1492, 26583, 812, 1185, 711, 1044, 12219, 538, 1022, 1259, 1070, 855, 849, 1317, 621, 5949, 538, 22208, 267, 799, 568, 15520, 3309, 543, 16561, 540, 1034, 1004, 563, 16920, 2931, 899, 519, 1079, 5018, 1934, 616, 711, 1954, 752, 13685, 269, 1358, 723, 1044, 2921, 1747, 593, 513, 2834, 4493, 538, 519, 772, 2529, 269, 2094, 519, 476, 280, 270, 1556, 6285, 267, 1256, 2219, 519, 14742, 5734, 519, 2622, 11780, 4741, 3592, 513, 8717, 3516, 563, 763, 3668, 540, 2686, 1620, 18487, 814, 1044, 513, 1713, 23784, 547, 519, 10963, 269, 27566, 338, 616, 1419, 19451, 585, 12356, 267, 543, 1004, 538, 519, 772, 2529, 269, 1419, 12314, 12356, 609, 14642, 4821, 10822, 700, 23565, 543, 1325, 29841, 4660, 320, 269, 6145, 12356, 267, 27566, 338, 5957, 8514, 753, 267, 723, 581, 1841, 543, 1279, 4552, 543, 616, 6353, 676, 741, 4158, 1950, 687, 269, 1656, 9811, 267, 972, 616, 27566, 338, 538, 930, 7332, 2127, 540, 519, 1158, 563, 3719, 950, 519, 1079, 10764, 616, 3379, 267, 621, 568, 5612, 2312, 602, 519, 10539, 1063, 519, 1079, 568, 19450, 269, 1280, 3236, 267, 27566, 338, 798, 711, 2259, 19623, 1137, 267, 1247, 19623, 1137, 616, 3592, 1898, 585, 12356, 269, 4746, 267, 27566, 338, 798, 711, 18340, 569, 339, 1125, 267, 610, 1118, 8942, 547, 6460, 1004, 945, 616, 711, 27566, 338, 267, 543, 12356, 798, 563, 296, 6557, 711, 1818, 606, 3801, 547, 21592, 27566, 338, 936, 12356, 610, 13030, 17930, 269, 13298, 267, 594, 6557, 9236, 519, 1079, 538, 606, 3801, 547, 556, 30185, 519, 8904, 540, 772, 2529, 269, 2686, 1202, 27383, 269, 670, 622, 995, 1004, 616, 14845, 1079, 4529, 4171, 10486, 616, 3908, 547, 741, 25058, 525, 685, 2168, 5920, 269, 8616, 267, 585, 930, 2601, 267, 1082, 1131, 2161, 519, 2136, 2276, 685, 22457, 2395, 616, 3297, 621, 563, 763, 772, 2529, 269, 1869, 814, 513, 22457, 2486, 269, 634, 811, 14797, 267, 4529, 543, 1004, 2516, 602, 2887, 6408, 547, 32616, 673, 7130, 267, 519, 811, 22457, 519, 4182, 786, 1831, 269, 4495, 1586, 267, 519, 30542, 2684, 11131, 10182, 602, 814, 829, 341, 12184, 1082, 8186, 538, 713, 2197, 814, 28955, 3294, 538, 22293, 543, 1202, 27383, 563, 20826, 476, 1556, 729, 513, 4158, 1554, 585, 519, 772, 2529, 269, 6969, 519, 4182, 6811, 621, 814, 646, 4705, 689, 519, 10969, 566, 267, 2705, 267, 621, 1590, 1832, 538, 2247, 519, 2686, 2360, 602, 1554, 814, 1185, 936, 519, 2250, 5216, 1296, 269, 634, 4872, 543, 1004, 3238, 538, 519, 4323, 949, 723, 646, 4705, 267, 855, 4978, 2861, 12959, 899, 1346, 10294, 1996, 27566, 4892, 6542, 1175, 875, 2370, 519, 2197, 814, 16626, 563, 310, 344, 3430, 918, 1415, 518, 568, 513, 8683, 558, 648, 3377, 24737, 3218, 658, 19761, 2101, 689, 962, 752, 9874, 267, 25169, 269, 0, 8505, 11893, 13132, 267, 610, 17770, 7240, 6898, 267, 616, 1419, 2838, 693, 1114, 11775, 540, 2852, 269, 1323, 1557, 949, 581, 2838, 585, 15938, 23504, 267, 607, 606, 2296, 7084, 610, 585, 10343, 547, 10927, 1153, 269, 2422, 713, 1557, 547, 1118, 3054, 1796, 856, 689, 707, 9905, 538, 930, 1259, 1765, 8145, 1897, 602, 596, 616, 519, 1152, 563, 27832, 976, 689, 519, 12815, 269, 769, 968, 296, 5620, 700, 1882, 589, 23897, 663, 13012, 2223, 700, 14746, 9779, 2023, 11219, 11055, 6645, 1200, 1650, 540, 875, 1352, 15068, 607, 835, 540, 519, 1906, 15730, 31852, 29802, 676, 519, 21647, 538, 589, 1276, 21032, 1282, 24918, 476, 274, 20193, 1500, 519, 8479, 16989, 7732, 7896, 5948, 781, 1592, 540, 7454, 6348, 27395, 585, 1855, 839, 538, 476, 1001, 273, 563, 8505, 11893, 2762, 7151, 269, 634, 26249, 1383, 2016, 2630, 814, 513, 2241, 3898, 269, 634, 3898, 1031, 585, 713, 2328, 5346, 20998, 602, 540, 606, 1557, 282, 621, 3947, 513, 11315, 2856, 540, 875, 547, 2328, 606, 26249, 269, 1717, 267, 1247, 1603, 606, 26249, 267, 596, 1058, 1459, 513, 2143, 2272, 540, 707, 1272, 563, 763, 1292, 3483, 540, 519, 17770, 7240, 1557, 568, 547, 1397, 707, 2123, 7907, 543, 1983, 602, 786, 23666, 606, 23504, 4604, 269, 5457, 602, 713, 1557, 568, 711, 519, 1482, 3364, 607, 513, 22008, 610, 16056, 269, 23670, 3827, 10492, 1810, 1406, 991, 513, 1592, 540, 707, 10781, 543, 9344, 281, 789, 1616, 547, 5873, 707, 2123, 5639, 543, 6218, 707, 7209, 563, 3528, 32088, 594, 1659, 5803, 593, 519, 6640, 540, 4873, 476, 2537, 6113, 267, 476, 1001, 277, 547, 519, 2647, 12345, 540, 5835, 7943, 581, 5446, 998, 519, 6885, 1318, 1657, 519, 20974, 816, 1250, 11078, 543, 594, 3838, 563, 2304, 26249, 568, 519, 1650, 540, 2576, 779, 1272, 267, 2854, 676, 602, 1268, 269, 1284, 616, 2469, 547, 581, 1603, 17770, 13132, 538, 2296, 1362, 1282, 519, 1985, 1906, 4374, 269, 1284, 616, 2469, 547, 581, 3257, 513, 2603, 540, 1603, 538, 1362, 543, 972, 786, 581, 6780, 10467, 865, 596, 666, 563, 763, 32532, 2762, 540, 18148, 15284, 676, 18148, 15284, 18838, 689, 476, 10082, 272, 547, 476, 9692, 271, 267, 713, 1433, 3568, 519, 1272, 1686, 540, 835, 540, 3013, 779, 15713, 18971, 269, 18148, 15284, 779, 26249, 786, 2995, 596, 875, 513, 2539, 2173, 1497, 1362, 539, 6107, 6659, 909, 883, 835, 540, 519, 1034, 25343, 2367, 538, 519, 1158, 563, 19284, 25107, 610, 12819, 3594, 267, 606, 17770, 7240, 2239, 1281, 711, 2154, 513, 5098, 3948, 538, 922, 1101, 5037, 269, 898, 1590, 267, 2705, 267, 10544, 519, 5467, 779, 3007, 543, 18609, 1864, 269, 0, 6097, 547, 513, 1957, 3370, 538, 519, 9263, 2689, 4760, 31102, 267, 972, 568, 513, 1360, 1164, 10171, 540, 2101, 27330, 17061, 1851, 1453, 5001, 538, 476, 1708, 272, 2443, 4611, 538, 1082, 11991, 7972, 2443, 1813, 547, 519, 9505, 17498, 13684, 1317, 540, 519, 11784, 936, 5046, 268, 866, 563, 22117, 2278, 7905, 13690, 25109, 3128, 1633, 267, 689, 519, 12653, 4777, 577, 5753, 779, 3194, 4659, 543, 17348, 540, 519, 2622, 2657, 9257, 779, 590, 17803, 11554, 6828, 593, 27330, 543, 6299, 7578, 10074, 267, 1767, 602, 1082, 1453, 723, 14406, 856, 593, 27330, 12674, 713, 1032, 267, 1818, 2104, 27330, 17061, 17149, 269, 2560, 892, 763, 4947, 3275, 616, 2693, 547, 1294, 2810, 2338, 540, 796, 9404, 684, 2213, 1453, 945, 616, 11630, 547, 27330, 269, 3509, 2661, 538, 4057, 267, 6552, 2950, 1141, 1072, 1949, 616, 1447, 14388, 267, 543, 22926, 543, 6171, 589, 10638, 616, 2907, 2810, 3034, 23178, 25109, 3128, 1633, 1767, 519, 5046, 268, 866, 6855, 1185, 849, 1185, 513, 7096, 1198, 593, 519, 1852, 540, 6669, 28824, 3676, 267, 609, 12674, 11044, 17328, 4310, 538, 519, 2038, 3275, 540, 476, 1708, 271, 543, 6296, 6375, 5314, 2533, 7494, 22314, 538, 1082, 2477, 563, 763, 14959, 9193, 602, 676, 519, 1439, 540, 5239, 267, 476, 1708, 271, 267, 16607, 12674, 11044, 538, 476, 2918, 2477, 723, 3366, 547, 476, 11463, 2929, 1453, 7508, 16516, 27330, 6669, 13066, 269, 1496, 655, 3508, 529, 9553, 2639, 13914, 827, 621, 269, 5221, 649, 543, 938, 6608, 3443, 17673, 543, 9505, 1524, 2486, 547, 2149, 1453, 689, 513, 3644, 602, 568, 711, 1152, 711, 21380, 1851, 1453, 267, 621, 849, 568, 18374, 20027, 547, 873, 267, 1082, 1453, 786, 1631, 5884, 689, 3676, 649, 917, 616, 3810, 21380, 543, 649, 917, 666, 6146, 873, 563, 4517, 1004, 934, 2224, 803, 540, 1373, 2295, 1652, 1317, 594, 2161, 519, 9376, 17498, 616, 6845, 1088, 612, 267, 19450, 267, 543, 513, 3983, 2856, 563, 5649, 619, 256, 3733, 16797, 5437, 8750, 7304, 9820, 518, 585, 19992, 519, 4563, 568, 1631, 936, 454, 296, 3112, 9684, 519, 3875, 1004, 945, 865, 1252, 3585, 24603, 610, 20401, 539, 547, 19992, 519, 4563, 1282, 713, 2508, 5397, 269, 634, 3210, 729, 7415, 267, 543, 10630, 519, 11931, 2208, 543, 8560, 540, 519, 960, 594, 723, 1044, 3257, 1934, 585, 519, 2250, 4557, 13807, 639, 1296, 563, 14188, 596, 1586, 2336, 15987, 519, 1265, 268, 24597, 5859, 568, 13166, 936, 267, 543, 594, 993, 1100, 3476, 29147, 532, 519, 1292, 2985, 609, 13668, 585, 948, 267, 952, 596, 899, 1018, 596, 723, 1224, 596, 666, 1869, 3565, 267, 676, 4758, 2901, 513, 835, 6066, 9295, 610, 513, 2834, 20478, 267, 607, 13890, 538, 519, 9133, 20220, 2630, 269, 2659, 1489, 786, 1450, 803, 547, 3136, 8720, 2257, 543, 2528, 607, 594, 723, 585, 519, 2250, 8938, 1296, 267, 4830, 543, 1863, 689, 1022, 3544, 3310, 563, 19894, 3988, 666, 1489, 19992, 634, 4563, 609, 513, 9295, 3842, 2628, 25659, 912, 2252, 9796, 25659, 3085, 1405, 960, 585, 596, 267, 596, 666, 1489, 19992, 634, 4563, 2047, 676, 11488, 707, 21856, 676, 2638, 267, 2628, 762, 547, 7917, 2098, 20810, 2006, 267, 547, 454, 6826, 16442, 634, 4563, 454, 322, 270, 334, 7917, 2098, 20810, 2006, 454, 290, 677, 16619, 267, 589, 313, 476, 5952, 277, 7367, 0, 26872, 19881, 25594, 19314, 763, 4155, 593, 519, 476, 272, 560, 540, 5147, 267, 476, 5908, 278, 267, 729, 538, 5106, 547, 808, 2737, 7921, 267, 476, 4391, 278, 5195, 267, 543, 2256, 328, 14186, 689, 782, 2959, 2179, 539, 547, 3267, 563, 259, 272, 267, 27888, 267, 476, 4198, 476, 3066, 1656, 9276, 547, 2483, 4792, 279, 267, 476, 279, 3199, 476, 7918, 454, 8867, 3058, 519, 2121, 15271, 10756, 32579, 267, 476, 27183, 476, 4037, 634, 2256, 328, 14186, 540, 519, 4155, 689, 2951, 267, 900, 12568, 267, 543, 519, 1870, 540, 519, 3148, 29815, 776, 547, 621, 941, 7494, 21022, 538, 12343, 540, 4095, 7965, 563, 763, 12902, 6006, 5161, 540, 476, 7871, 21525, 582, 1161, 267, 476, 1428, 18213, 543, 476, 279, 4037, 824, 6517, 563, 763, 2754, 2769, 741, 9837, 547, 21991, 1393, 713, 13055, 609, 519, 25525, 543, 4398, 602, 723, 3976, 2484, 6353, 922, 13120, 563, 4002, 519, 476, 2190, 628, 540, 5239, 2063, 596, 7608, 267, 2390, 519, 1867, 540, 519, 2229, 10243, 619, 267, 513, 3296, 540, 8938, 5195, 540, 519, 6239, 7414, 16456, 540, 4993, 267, 2165, 3215, 693, 513, 1448, 562, 27197, 21144, 5195, 11397, 689, 15762, 26963, 334, 563, 4002, 519, 476, 2764, 628, 540, 5130, 2063, 267, 519, 13030, 25535, 1211, 540, 519, 2754, 19429 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 10189, 2488, 606, 1604, 585, 25549, 543, 29600, 1257, 10833, 609, 513, 16144, 1899, 269, 26840, 958, 267, 971, 513, 4216, 949, 581, 8237, 538, 606, 5580, 543, 513, 2539, 851, 282, 3976, 519, 10189, 949, 581, 1031, 585, 519, 4259, 540, 19000, 1806, 1141, 835, 851, 540, 519, 4216, 10525, 519, 2707, 3009, 543, 519, 824, 851, 2982, 519, 3977, 269, 6271, 1455, 946, 2013, 568, 519, 4259, 540, 5376, 916, 269, 634, 10189, 7028, 9494, 543, 19074, 540, 2707, 3009, 543, 1257, 2694, 563, 516, 1194, 332, 659, 568, 513, 10189, 585, 2010, 23293, 14046, 2565, 21820, 267, 13868, 519, 3964, 3366, 332, 659, 543, 552, 1194, 332, 659, 15004, 269, 634, 10189, 7028, 4994, 532, 676, 2985, 543, 676, 1899, 2338, 267, 543, 2241, 9184, 983, 268, 543, 5044, 16654, 5054, 563, 1607, 1383, 9727, 875, 547, 3132, 15497, 3515, 538, 3349, 2281, 1210, 519, 1793, 1662, 7901, 543, 4511, 7901, 15004, 563, 763, 15497, 1899, 3812, 676, 519, 1793, 1662, 7901, 10189, 568, 2864, 795, 698, 3022, 543, 7938, 1752, 344, 563, 763, 4511, 7901, 10189, 1281, 513, 1732, 2816, 538, 2489, 563, 2521, 15205, 1152, 835, 540, 891, 15004, 547, 1294, 454, 1492, 3017, 2443, 952, 4511, 7901, 568, 16041, 693, 782, 2676, 527, 936, 337, 1938, 1793, 1662, 7901, 781, 2623, 32220, 335, 11417, 17442, 18256, 568, 519, 1655, 1259, 547, 2328, 6128, 269, 898, 4625, 533, 1170, 525, 782, 936, 6478, 269, 1717, 267, 621, 1281, 1491, 930, 942, 547, 1205, 1031, 547, 865, 1522, 711, 581, 4502, 707, 1247, 952, 596, 4465, 1405, 2328, 1932, 1454, 269, 634, 1259, 594, 946, 621, 568, 547, 1101, 4647, 543, 3888, 513, 3735, 343, 9375, 543, 1287, 1205, 1603, 267, 855, 594, 1131, 4363, 602, 596, 946, 713, 3896, 3079, 2094, 596, 666, 1205, 2469, 513, 2603, 18334, 269, 634, 909, 3333, 582, 540, 519, 2898, 1870, 568, 602, 596, 1826, 538, 1934, 543, 1287, 513, 7824, 568, 6383, 609, 782, 519, 4834, 3168, 513, 576, 269, 594, 3513, 2285, 596, 930, 1806, 269, 0, 288, 5858, 568, 4330, 676, 519, 3830, 1948, 263, 343, 6629, 1321, 8203, 273, 23444, 344, 6629, 3953, 8203, 273, 284, 5392, 258, 269, 1548, 616, 519, 10974, 585, 519, 4099, 540, 519, 5858, 543, 519, 3259, 540, 519, 8953, 888, 763, 8953, 910, 4099, 1106, 540, 519, 3830, 540, 519, 5858, 568, 2016, 912, 5804, 519, 2016, 912, 9827, 6697, 547, 454, 2193, 8765, 676, 14791, 2073, 4099, 454, 5970, 513, 8799, 1554, 8206, 8627, 689, 519, 13372, 1862, 0, 763, 28927, 525, 681, 21123, 10222, 836, 1637, 13749, 568, 513, 5619, 15262, 538, 14642, 13871, 6019, 538, 519, 1533, 540, 17857, 538, 519, 11068, 13523, 2136, 2276, 269, 634, 15262, 729, 5116, 538, 476, 6245, 272, 269, 769, 476, 3192, 274, 267, 519, 3135, 729, 7396, 538, 519, 2817, 19193, 540, 19866, 23089, 607, 2983, 617, 2045, 4741, 540, 519, 2136, 2276, 269, 769, 5619, 532, 267, 513, 2520, 617, 2045, 3611, 636, 568, 513, 1305, 540, 2798, 1031, 547, 3715, 513, 11282, 1062, 269, 1635, 1374, 908, 519, 4087, 540, 835, 1448, 267, 519, 4287, 689, 602, 1448, 547, 513, 2034, 1448, 267, 835, 666, 3715, 513, 1062, 3448, 547, 799, 824, 2798, 666, 581, 4092, 543, 25528, 282, 607, 835, 12220, 513, 3677, 1858, 936, 799, 519, 22441, 540, 519, 3047, 3587, 1713, 267, 621, 3587, 2556, 547, 5581, 606, 14248, 760, 810, 573, 281, 513, 17208, 2627, 602, 4114, 23660, 519, 3337, 540, 519, 3047, 538, 519, 1858, 540, 1719, 269, 634, 1101, 18487, 3611, 636, 538, 519, 2136, 2276, 729, 3964, 538, 476, 6942, 280, 269, 2311, 602, 942, 267, 513, 3148, 540, 733, 27631, 2468, 836, 1637, 11478, 689, 19051, 547, 11908, 282, 519, 1715, 4789, 13096, 636, 729, 6074, 609, 513, 25162, 538, 15930, 267, 2282, 519, 1647, 540, 713, 3148, 267, 607, 519, 8880, 3611, 636, 267, 513, 2034, 15930, 1665, 1031, 547, 5581, 519, 20842, 574, 3578, 4287, 563, 2414, 2272, 585, 519, 3047, 781, 22441, 267, 519, 3611, 636, 1031, 513, 2203, 1572, 519, 22548, 651, 838, 515, 5514, 267, 2919, 538, 476, 5908, 277, 269, 634, 772, 269, 590, 269, 11076, 543, 2983, 617, 2045, 11752, 3964, 513, 2468, 836, 1637, 6728, 1634, 607, 519, 28927, 525, 681, 21123, 10222, 836, 1637, 13749, 267, 538, 476, 6245, 272, 282, 519, 4087, 2482, 2282, 519, 10167, 540, 1079, 1098, 11666, 1581, 9095, 338, 540, 2468, 836, 1637, 281, 835, 4881, 689, 519, 9533, 547, 519, 7414, 7909, 1739, 519, 476, 4375, 628, 6252, 269, 769, 476, 5002, 272, 267, 519, 28927, 525, 681, 21123, 6728, 729, 6074, 607, 519, 2136, 2276, 3044, 8880, 3611, 636, 281, 519, 1448, 3448, 547, 799, 782, 2244, 7403, 538, 519, 4182, 941, 1500, 282, 519, 3903, 729, 1759, 593, 519, 6728, 781, 4087, 2282, 519, 13664, 4099, 540, 519, 772, 269, 590, 269, 543, 2282, 519, 10167, 540, 519, 1079, 9095, 338, 540, 2468, 836, 1637, 267, 1317, 621, 31965, 519, 1297, 540, 2242, 538, 3370, 7158, 269, 4706, 2990, 729, 1305, 607, 476, 4375, 4113, 1724, 262, 2918, 269, 6924, 277, 257, 715, 543, 476, 7176, 4113, 3953, 262, 1789, 269, 2004, 277, 257, 654, 269, 769, 476, 4489, 274, 267, 519, 8783, 31485, 540, 519, 18067, 542, 540, 4516, 13562, 13929, 25076, 543, 519, 8689, 540, 519, 1290, 529, 18059, 2983, 617, 15530, 3821, 5165, 545, 3570, 9307, 602, 741, 3906, 1131, 946, 519, 28927, 525, 681, 21123, 4087, 607, 741, 3044, 3611, 636, 563, 1103, 1769, 540, 713, 267, 922, 2012, 729, 4957, 547, 519, 834, 22139, 1977, 13096, 636, 2668, 1306, 811, 1007, 12220, 543, 9678, 5619, 5121, 941, 11368, 883, 519, 1062, 267, 621, 2968, 2352, 547, 1118, 519, 2556, 28303, 269, 1635, 519, 4571, 268, 4572, 271, 338, 267, 621, 729, 7691, 269, 3245, 476, 4572, 278, 547, 476, 4350, 273, 267, 519, 476, 1839, 267, 1822, 4540, 1852, 6753, 941, 973, 531, 1529, 730, 543, 513, 1007, 11282, 1062, 2919, 267, 1634, 607, 715, 4696, 2767, 282, 519, 1007, 1062, 4797, 547, 946, 519, 476, 5002, 272, 10974, 540, 28927, 525, 681, 21123, 607, 922, 8880, 3611, 636, 267, 519, 22548, 651, 838, 515, 5514, 607, 922, 2203, 585, 519, 3047, 781, 2627, 269, 1717, 267, 621, 1631, 3989, 8880, 8846, 538, 2474, 540, 476, 11260, 5487, 2897, 20842, 574, 3578, 338, 267, 799, 946, 24666, 20842, 574, 3578, 338, 22621, 585, 519, 3017, 1063, 519, 7478, 5669, 543, 2520, 617, 2045, 5789, 573, 2103, 269, 7201, 715, 4696, 2767, 267, 519, 20842, 574, 3578, 547, 519, 9546, 4777, 6728, 4957, 676, 827, 476, 276, 2668, 769, 476, 3192, 274, 267, 519, 28927, 525, 681, 21123, 3135, 729, 3773, 547, 519, 2817, 19193, 540, 19866, 23089, 267, 896, 519, 2012, 834, 10481, 617, 2045, 4741, 540, 519, 2136, 2276, 2668, 11374, 519, 10661, 540, 715, 4696, 2767, 267, 621, 729, 7074, 602, 621, 3812, 513, 15739, 32735, 540, 827, 476, 1015, 7397, 538, 4234, 6421, 538, 519, 7187, 851, 540, 519, 7187, 772, 563, 306, 269, 1533, 540, 12309, 267, 26089, 513, 6237, 16369, 585, 519, 2829, 540, 16855, 269, 1306, 519, 5619, 3060, 729, 6905, 2417, 5087, 883, 4516, 267, 2147, 27753, 7902, 282, 519, 1966, 9863, 547, 581, 11528, 281, 898, 1185, 1044, 10924, 602, 519, 3604, 1063, 519, 22548, 651, 838, 515, 5514, 543, 519, 4890, 2520, 1355, 941, 30050, 267, 6466, 891, 3604, 5189, 1713, 6959, 269, 634, 1507, 1297, 543, 1804, 9668, 540, 519, 2798, 1031, 547, 1020, 715, 4696, 2767, 267, 519, 3908, 12985, 1379, 2139, 547, 922, 9858, 267, 519, 3350, 540, 29684, 10824, 3366, 547, 29927, 538, 715, 4696, 2767, 10974, 269, 1677, 2232, 891, 267, 513, 1007, 3611, 636, 729, 2919, 267, 11280, 715, 4696, 10695, 267, 621, 8719, 519, 22548, 651, 838, 515, 5514, 609, 513, 1007, 14248, 760, 810, 573, 267, 519, 22127, 13129, 3590, 476, 2735, 271, 267, 10704, 693, 519, 3047, 781, 4099, 540, 2527, 607, 5462, 676, 519, 13163, 4139, 632, 561, 262, 3891, 675, 269, 634, 1007, 3611, 636, 729, 1759, 593, 16369, 1519, 476, 7785, 9682, 28576, 16980, 10473, 269, 715, 4696, 10695, 729, 7550, 676, 519, 772, 269, 590, 269, 2229, 538, 476, 2735, 280, 267, 676, 519, 8225, 2229, 538, 476, 1960, 271, 269, 7201, 519, 1007, 1062, 267, 28927, 525, 681, 21123, 4503, 922, 2027, 7555, 267, 2968, 835, 540, 5215, 540, 10473, 563, 2026, 540, 476, 1001, 273, 267, 519, 4087, 540, 519, 28927, 525, 681, 21123, 6728, 729, 476, 4375, 4113, 1724, 12664, 2918, 269, 278, 1321, 736, 16357, 301, 476, 7176, 4113, 3953, 12664, 4029, 269, 278, 3393, 2412, 16357, 310, 269, 898, 6013, 827, 476, 1321, 5195, 5087, 540, 12359, 553, 543, 827, 476, 1015, 5195, 22236, 540, 23621, 17980, 282, 519, 6728, 568, 593, 513, 1970, 6371, 344, 25170, 538, 513, 27892, 269, 898, 568, 6825, 676, 513, 19730, 1167, 267, 27485, 834, 300, 1737, 525, 681, 21123, 476, 6245, 272, 2580, 11251, 538, 519, 1283, 540, 513, 26434, 11057, 6405, 15262, 476, 2641, 6279, 538, 8006, 267, 8375, 827, 476, 275, 6279, 1657, 2666, 1377, 269, 5565, 4704, 7436, 543, 606, 20842, 574, 3578, 1665, 616, 4092, 7404, 282, 519, 28927, 525, 681, 21123, 6728, 568, 609, 1100, 1857, 1569, 269, 589, 18187, 320, 540, 519, 6728, 15262, 267, 609, 513, 17857, 3140, 15262, 7713, 922, 4644, 267, 568, 4092, 693, 476, 4375, 269, 3393, 273, 30525, 4113, 301, 476, 7176, 269, 7597, 274, 276, 5655, 4113, 310, 1315, 476, 4375, 269, 3393, 273, 30525, 269, 590, 269, 23681, 476, 27005, 693, 519, 7187, 6316, 540, 17857, 267, 476, 1240, 5195, 22070, 540, 519, 28927, 525, 681, 21123, 3135, 269, 2983, 3941, 344, 476, 3707, 271, 556, 2987, 560, 718, 566, 2311, 519, 2520, 617, 2045, 4099, 540, 3345, 3013, 1079, 4760, 3594, 454, 291, 766, 17030, 26308, 568, 513, 18758, 2773, 28379, 543, 7544, 1153, 4092, 538, 519, 17030, 10588, 540, 5842, 12770, 267, 4993, 269, 634, 16222, 568, 13234, 676, 513, 4775, 7544, 5538, 701, 609, 513, 1445, 593, 1514, 1689, 282, 519, 16222, 267, 1634, 585, 922, 7544, 5049, 543, 2773, 1148, 267, 814, 1044, 19486, 835, 540, 519, 1655, 7544, 801, 3930, 538, 5842, 12770, 267, 5356, 1472, 476, 2004, 5049, 543, 16475, 476, 272, 267, 4335, 1053, 513, 3018, 269, 634, 16222, 3091, 476, 4366, 4374, 540, 5752, 829, 1032, 282, 519, 16222, 814, 1044, 4092, 538, 922, 1699, 2230, 2094, 476, 1960, 279, 269, 769, 5412, 476, 1001, 275, 267, 519, 16222, 9307, 602, 621, 1522, 723, 547, 882, 11229, 1310, 922, 28867, 867, 2799, 519, 16222, 781, 10519, 282, 519, 16222, 4294, 585, 6351, 689, 519, 2749, 6554, 540, 5842, 12770, 269, 4864, 476, 1001, 275, 281, 589, 2773, 538, 11812, 540, 519, 1433, 2052, 1406, 17547, 654, 517, 1406, 17547, 676, 11518, 26284, 267, 609, 2575, 543, 7544, 269, 5437, 476, 1001, 275, 281, 589, 25576, 15664, 543, 7544, 1397, 676, 519, 5842, 12770, 19248, 27323, 1684, 14765, 269, 5130, 1700, 21938, 476, 1001, 276, 281, 834, 291, 766, 769, 4860, 27117, 8648, 2580, 609, 25287, 2762, 593, 2797, 4798, 269, 5988, 476, 1001, 277, 281, 634, 4563, 932, 648, 20802, 16635, 781, 5993, 2680, 267, 834, 9202, 23027, 932, 648, 20802, 8058, 13826, 281, 1715, 966, 7860, 270, 6124, 3718, 4799, 294, 332, 2088, 595, 345, 1716, 3821, 568, 513, 6917, 575, 332, 2088, 538, 654, 10635, 22119, 1177, 6019, 267, 13722, 590, 3796, 1014, 27215, 643, 3941, 1222, 267, 538, 5045, 2914, 3480, 12996, 269, 4706, 10160, 568, 519, 8498, 540, 595, 345, 1716, 3821, 267, 799, 6013, 476, 1704, 21240, 5045, 3887, 770, 540, 519, 6237, 3854, 654, 10635, 22119, 1177, 282, 519, 575, 332, 2088, 6227, 606, 1858, 540, 476, 10019, 269, 1240, 4009, 21240, 267, 607, 540, 476, 1220, 277, 922, 2698, 2551, 568, 476, 280, 267, 29257, 269, 717, 332, 2088, 595, 345, 1716, 3821, 568, 536, 23912, 676, 519, 2749, 540, 654, 10635, 22119, 1177, 543, 676, 519, 575, 2381, 553, 540, 645, 1512, 583, 6759, 342, 267, 667, 22119, 1872, 334, 22119, 384, 503, 6390, 267, 808, 601, 322, 345, 6441, 2532, 578, 823, 267, 744, 22119, 11867, 267, 744, 548, 23410, 333, 3821, 543, 27119, 1013, 823, 282, 519, 575, 332, 2088, 3568, 519, 14252, 540, 932, 337, 345, 384 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 630, 1721, 4704, 264, 715, 9331, 21850, 715, 9331, 21850, 476, 1822, 271, 476, 876, 476, 1911, 271, 476, 1015, 476, 1822, 272, 476, 4905, 476, 1911, 272, 476, 1556, 476, 9826, 271, 476, 4905, 476, 6200, 271, 476, 1556, 476, 9826, 272, 476, 4905, 476, 6200, 272, 476, 1556, 476, 18089, 271, 476, 1015, 476, 8099, 271, 476, 1556, 476, 18089, 272, 476, 1015, 476, 8099, 272, 476, 1556, 476, 18733, 271, 476, 1015, 476, 9340, 271, 476, 1556, 476, 18733, 272, 476, 1015, 476, 9340, 272, 476, 1556, 570, 847, 528, 15015, 338, 269, 8791, 476, 275, 634, 18786, 3590, 18786, 3590, 11137, 834, 8505, 558, 12067, 5303, 1107, 9978, 6096, 257, 3568, 3211, 585, 519, 1739, 1641, 2127, 281, 6796, 267, 3115, 4202, 267, 23369, 267, 22062, 687, 543, 4825, 19745, 1080, 269, 3848, 476, 272, 267, 8791, 476, 274, 20505, 476, 272, 269, 630, 25899, 281, 715, 1408, 11420, 3883, 4578, 264, 476, 7818, 25320, 14838, 14028, 278, 476, 1001, 2568, 277, 4962, 1809, 966, 19123, 546, 3298, 711, 3247, 972, 269, 476, 30329, 271, 910, 476, 5379, 272, 271, 910, 476, 6321, 272, 271, 910, 476, 5780, 272, 271, 910, 476, 6858, 272, 271, 910, 476, 278, 8618, 271, 1547, 932, 1173, 532, 7010, 476, 1428, 563, 5472, 31940, 1590, 581, 16517, 543, 538, 1931, 607, 7150, 1657, 543, 676, 3184, 543, 4266, 269, 476, 1556, 13038, 3903, 2055, 282, 3848, 476, 1015, 5422, 1949, 282, 476, 1015, 269, 901, 6240, 568, 711, 513, 1007, 1523, 269, 476, 275, 269, 6423, 7612, 476, 1015, 268, 2918, 269, 5131, 4647, 7300, 11711, 16671, 2793, 476, 273, 630, 341, 276, 269, 1677, 3313, 952, 519, 4492, 270, 1515, 7848, 568, 7850, 476, 273, 269, 476, 271, 264, 3848, 476, 1015, 11929, 12226, 476, 1001, 280, 1107, 476, 1911, 260, 634, 8433, 540, 5398, 16457, 630, 302, 5183, 264, 568, 519, 2582, 1448, 540, 3346, 585, 782, 28780, 827, 519, 6239, 11106, 10837, 630, 5746, 288, 1040, 5851, 22774, 4199, 267, 649, 2709, 936, 476, 2412, 267, 1822, 32059, 634, 966, 517, 3026, 30977, 10724, 563, 273, 1473, 21899, 1949, 7650, 282, 476, 1015, 269, 1473, 10631, 633, 9300, 476, 278, 1547, 593, 5530, 23325, 269, 476, 276, 18329, 10834, 1949, 282, 476, 1015, 269, 476, 279, 22695, 819, 1949, 476, 10204, 476, 279, 269, 3417, 4267, 547, 1439, 6361, 7302, 1986, 2055, 267, 23519, 2238, 267, 543, 3184, 17118, 267, 3177, 538, 7300, 3898, 269, 3848, 476, 1015, 538, 5510, 7304, 1933, 27990, 7177, 14362, 267, 476, 13078, 268, 22724, 269, 476, 16573, 274, 585, 519, 25213, 8149, 952, 519, 6408, 540, 519, 25213, 729, 513, 7925, 4155, 3593, 269, 476, 271, 610, 2362, 563, 21914, 5794, 595, 268, 3445, 288, 20324, 9751, 15015, 476, 272, 269, 19766, 7473, 2207, 744, 23615, 26177, 1547, 476, 273, 1341, 642, 276, 269, 476, 276, 6034, 27307, 476, 6977, 476, 279, 269, 8899, 6453, 540, 476, 2004, 24311, 610, 1447, 536, 269, 634, 1101, 4845, 540, 707, 2626, 568, 476, 1911, 260, 1318, 269, 589, 7878, 13937, 5695, 321, 710, 5295, 17852, 4518, 1504, 568, 513, 13959, 547, 519, 13937, 5695, 321, 710, 5295, 17852, 1837, 5627, 2055, 267, 4267, 543, 3137, 2966, 547, 2333, 707, 1620, 540, 519, 1570, 4988, 538, 519, 1837, 269, 476, 9873, 3883, 13517, 21942, 12857, 519, 1101, 7160, 540, 26365, 7177, 513, 2347, 5356, 585, 519, 15938, 4702, 1053, 269, 16869, 1949, 3668, 1480, 1582, 18221, 543, 1582, 2079, 1907, 563, 763, 15917, 5886, 11083, 309, 17943, 15306, 1504, 568, 513, 798, 32717, 3917, 712, 1345, 518, 781, 3391, 585, 4509, 267, 9140, 543, 14964, 11083, 26394, 267, 585, 18883, 543, 10626, 269, 4147, 589, 17371, 24773, 8460, 543, 5924, 11151, 27307, 676, 281, 630, 280, 6858, 264, 589, 269, 476, 273, 269, 32516, 476, 1015, 4804, 20113, 8382, 6206, 631, 10248, 6478, 20668, 476, 272, 476, 1015, 269, 476, 279, 13958, 3151, 27307, 1062, 24966, 476, 4198, 476, 279, 269, 7689, 12697, 269, 27910, 27307, 1463, 13297, 630, 306, 2839, 296, 264, 476, 275, 3607, 31854, 1881, 7154, 476, 275, 4343, 3184, 476, 2764, 13937, 13238, 6034, 2987, 20287, 1949, 2991, 4974, 713, 3184, 267, 519, 5467, 786, 581, 2111, 547, 281, 476, 272, 269, 1323, 4661, 568, 513, 1871, 5293, 547, 513, 1599, 269, 1284, 786, 1397, 596, 875, 547, 1205, 1379, 547, 519, 2599, 25690, 267, 1287, 1310, 519, 2599, 568, 17991, 909, 267, 875, 547, 1205, 1379, 689, 519, 3124, 1807, 883, 519, 15483, 335, 527, 563, 2414, 10505, 10467, 2845, 883, 4179, 2517, 4178, 269, 476, 273, 17224, 617, 329, 332, 25271, 17972, 540, 1975, 2001, 4469, 1868, 538, 13749, 776, 10395, 755, 542, 19590, 476, 1015, 269, 4855, 10081, 4928, 2326, 1519, 27515, 267, 7044, 267, 6337, 267, 13410, 267, 4305, 9212, 267, 3992, 4566, 543, 3184, 2592, 269, 3399, 4974, 9540, 1621, 1149, 3848, 476, 1015, 269, 26365, 6052, 19554, 7010, 7869, 540, 20491, 15346, 532, 19554, 1261, 908, 19554, 267, 6513, 15346, 532, 19554, 8881, 267, 24410, 7632, 327, 17415, 19750, 19047, 3848, 476, 1556, 269, 634, 3211, 616, 2966, 547, 1106, 513, 5748, 585, 10512, 3871, 269, 476, 26727, 269, 18786, 7010, 476, 1691, 269, 26010, 563, 11847, 1238, 24862, 27587, 269, 17778, 971, 607, 4946, 19057, 543, 911, 6203, 267, 4553, 676, 6632, 607, 3107, 610, 12760, 267, 616, 5941, 538, 3848, 476, 1724, 630, 25456, 19837, 1828, 264, 543, 3848, 476, 1691, 630, 20225, 9653, 7348, 3848, 476, 1015, 689, 18328, 476, 28178, 276, 693, 17039, 3557, 2160, 269, 24157, 4919, 2594, 543, 6402, 547, 1644, 1344, 2139, 689, 519, 7732, 540, 6837, 17048, 269, 2870, 513, 11064, 1063, 519, 4492, 543, 519, 3595, 269, 733, 639, 270, 334, 476, 1015, 269, 10432, 476, 1015, 7335, 585, 25043, 540, 17270, 7010, 1547, 769, 713, 3184, 649, 981, 268, 710, 1614, 2553, 602, 7048, 593, 7403, 1500, 1247, 519, 10763, 9605, 10466, 23549, 32288, 7660, 4083, 3848, 4530, 20274, 3557, 2160, 476, 1626, 268, 2862, 268, 273, 21718, 476, 274, 269, 1280, 1383, 267, 9049, 291, 779, 476, 277, 3201, 268, 273, 269, 11628, 5422, 13437, 23369, 267, 476, 277, 27160, 10905, 3584, 538, 2599, 2773, 630, 17955, 589, 279, 1543, 1858, 264, 543, 3584, 4988, 538, 519, 4359, 2599, 2773, 630, 299, 272, 264, 6789, 292, 1449, 1543, 1858, 883, 835, 4052, 267, 3102, 1837, 267, 1818, 621, 4443, 585, 519, 14357, 547, 4001, 891, 3584, 267, 1247, 6967, 1942, 2500, 585, 519, 2875, 563, 275, 267, 855, 15090, 5459, 7998, 23519, 4267, 3184, 476, 1015, 21942, 11061, 4518, 1504, 12226, 3848, 476, 1015, 676, 21634, 3415, 1299, 2904, 1335, 4964, 21942, 11061, 4518, 1504, 12226, 3848, 590, 1117, 519, 6848, 543, 2686, 6386, 8066, 596, 1394, 543, 1577, 1863, 1900, 8386, 9912, 21942, 11061, 1837, 3435, 556, 528, 1304, 707, 2025, 26336, 269, 13724, 3988, 685, 1620, 540, 3595, 6384, 609, 1483, 8996, 5813, 543, 1382, 18838, 547, 519, 674, 2464, 4047, 536, 3147, 8403, 675, 622, 6437, 585, 519, 9605, 18868, 1576, 267, 9605, 18868, 3091, 513, 3102, 1935, 547, 3595, 6384, 602, 26779, 519, 5767, 1382, 543, 1483, 6901, 689, 519, 2361, 269, 11512, 875, 513, 17405, 1463, 2987, 20287, 1062, 1568, 269, 32190, 476, 273, 1547, 15026, 14292, 2326, 3177, 538, 7300, 3898, 269, 3557, 519, 2078, 1063, 3196, 267, 960, 19841, 1458, 267, 543, 1379, 269, 2060, 561, 16112, 1163, 3789, 540, 519, 4909, 2035, 2059, 609, 3875, 5249, 13050, 1806, 543, 1134, 2000, 8475, 539, 2143, 12383, 267, 713, 1433, 2488, 513, 11455, 1620, 540, 519, 1641, 269, 1677, 3313, 25685, 2773, 524, 269, 476, 271, 22695, 819, 3590, 476, 276, 563, 1103, 713, 3184, 649, 981, 268, 710, 1614, 2553, 602, 7048, 593, 7403, 1500, 1247, 519, 10763, 3848, 476, 1724, 20943, 2045, 10613, 476, 6434, 278, 1703, 616, 1082, 1761, 5383, 547, 15452, 2409, 540, 2079, 267, 5310, 519, 1034, 1271, 540, 799, 568, 519, 2702, 547, 946, 3114, 6547, 543, 1949, 602, 616, 3500, 547, 3914, 11466, 269, 12226, 547, 5623, 5999, 3848, 476, 277, 476, 272, 269, 476, 276, 269, 667, 4428, 344, 269, 634, 2489, 587, 495, 335, 17123, 2780, 814, 10924, 513, 8789, 1909, 538, 938, 1158, 587, 495, 4204, 2486, 269, 1496, 335, 272, 316, 21450, 1547, 7183, 540, 519, 1657, 476, 275, 269, 3850, 1216, 547, 23309, 10173, 269, 979, 341, 4896, 689, 18229, 917, 1018, 3896, 1775, 666, 1265, 513, 2347, 1592, 540, 693, 320, 3184, 1592, 910, 27583, 2073, 7611, 543, 6609, 563, 2005, 814, 1614, 2596, 2694, 1765, 24490, 12718, 267, 17453, 3515, 267, 543, 513, 10553, 12718, 269, 630, 321, 264, 8738, 940, 540, 22809, 568, 2009, 693, 1164, 2599, 11250, 1813, 547, 1164, 6453, 269, 4653, 267, 3592, 782, 616, 15191, 27668, 9817, 269, 1879, 513, 1379, 23376, 1062, 14543, 267, 519, 2599, 568, 1869, 1766, 762, 269, 15261, 704, 543, 24125, 7010, 476, 866, 269, 1703, 616, 1614, 2101, 2010, 540, 4835, 13674, 9817, 538, 946, 2221, 281, 630, 272, 264, 519, 8141, 27307, 2599, 267, 799, 568, 1031, 5097, 538, 26873, 282, 630, 273, 264, 519, 17088, 2599, 267, 799, 568, 1031, 538, 1804, 6472, 543, 4853, 1949, 1141, 519, 13159, 23467, 1041, 15099, 14173, 269, 5422, 5999, 543, 12226, 910, 6258, 4267, 547, 3988, 262, 4749, 4280, 2055, 827, 9817, 267, 1519, 519, 3604, 538, 1286, 2599, 2010, 543, 1946, 513, 966, 268, 279, 2599, 814, 5216, 26561, 269, 901, 5122, 1949, 8261, 568, 835, 540, 513, 3126, 540, 1379, 11707, 5931, 543, 3308, 11226, 585, 2866, 538, 519, 1425, 6005, 540, 5122, 1949, 593, 5985, 6191, 269, 634, 15191, 27668, 6240, 568, 519, 2596, 1523, 585, 519, 3154, 17081, 2599, 563, 9989, 713, 5542, 1184, 4125, 4830, 2621, 286, 536, 269, 476, 274, 18329, 22695, 819, 7010, 9511, 267, 2868, 339, 9511, 476, 1556, 476, 274, 2259, 4267, 7824, 267, 27485, 7285, 960, 4267, 2868, 339, 544, 7251, 537, 6549, 7824, 267, 10580, 4266, 1974, 267, 476, 1556, 18592, 543, 1858, 540, 10580, 267, 2259, 23519, 1970, 637, 267, 2868, 339, 9511, 6780, 543, 2259, 4267, 267, 2868, 339, 9511, 3184, 476, 1015, 3435, 1547, 3738, 3848, 476, 1724, 20943, 2045, 10613, 476, 6434, 278, 1703, 616, 1082, 1761, 5383, 547, 15452, 2409, 540, 2079, 267, 5310, 519, 1034, 1271, 540, 799, 568, 519, 2702, 547, 946, 3114, 6547, 543, 1949, 602, 616, 3500, 547, 3914, 11466, 269, 769, 1142, 1641, 1858, 267, 4052, 3871, 4196, 607, 606, 4367, 547, 519, 22521, 9115, 269, 681, 15014, 630, 9724, 2614, 547, 1450, 519, 4492, 543, 27307, 1949, 547, 7500, 1040, 7351, 2095, 13515, 23589, 569, 267, 4929, 519, 6419, 2361, 1147, 268, 24263, 519, 16509, 547, 12900, 269, 23996, 5303, 476, 1724, 269, 7064, 15666, 547, 835, 1776, 543, 849, 3340, 2362, 27307, 5210, 1813, 547, 519, 4430, 7509, 269, 634, 3977, 4422, 5508, 293, 950, 519, 9300, 594, 273, 15920, 513, 5365, 476, 1015, 2053, 476, 274, 4586, 1724, 269, 2113, 267, 979, 547, 968, 22923, 7896, 5608, 538, 519, 6749, 1524, 4945, 593, 968, 30874, 20043, 5608, 979, 547, 834, 8698, 270, 8138, 2466, 12226, 257, 1985, 547, 519, 1576, 596, 6999, 547, 10505, 4267, 585, 269, 14825, 12067, 5303, 281, 14362, 267, 23369, 543, 6796, 267, 476, 273, 526, 1196, 269, 4147, 1518, 6608, 2687, 547, 1614, 5036, 540, 4162, 269, 476, 271, 264, 3848, 476, 1015, 11929, 12226, 476, 1001, 280, 1107, 476, 1911, 260, 2413, 7998, 3184, 476, 278, 3296, 476, 272, 4267, 544, 335, 636, 531, 18553, 2243, 4574, 476, 1001, 274, 3446, 476, 1556, 11503, 267, 10748, 328, 589, 275, 645, 276, 6641, 21620, 476, 272, 15571, 15015, 267, 634, 22695, 819, 6513, 21602, 7316, 1772, 898, 28210, 769, 5422, 2986, 476, 1960, 279, 5292, 17383, 966, 3583, 267, 2413, 1158, 1686, 11461, 634, 8433, 540, 5398, 16457, 630, 302, 5183, 264, 568, 519, 2582, 1448, 540, 3346, 585, 782, 28780, 827, 519, 6239, 11106, 10837, 630, 5746, 288, 1040, 26361, 2666, 546, 269, 3245, 281, 595, 16400, 267, 29542, 717, 269, 476, 272, 19045, 26932, 532, 7010, 269, 5623, 540, 8881, 476, 1556, 563, 1556, 8682, 32516, 476, 280, 5442, 14011, 17395, 6730, 12327, 11190, 19851, 20219, 23727, 306, 10395, 755, 542, 3340, 2011, 267, 4492, 267, 543, 3002, 269, 3848, 476, 278, 5842, 3202, 667, 1778, 720, 3848, 476, 279, 1473, 1311, 13478, 2133, 17904, 3848, 476, 280, 966, 757 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 338, 676, 2672, 571, 329, 5689, 267, 519, 808, 520, 14610, 540, 32038, 520, 20580, 267, 945, 1765, 3697, 808, 2967, 19453, 1765, 611, 641, 1540, 513, 9168, 1106, 540, 28753, 531, 8907, 7245, 538, 1010, 11182, 269, 1717, 267, 676, 713, 942, 267, 519, 6830, 17480, 540, 519, 26566, 760, 584, 10806, 941, 12517, 538, 2243, 269, 7201, 3463, 689, 519, 3057, 987, 553, 267, 973, 6847, 1185, 547, 581, 3144, 811, 543, 811, 547, 2110, 3856, 16642, 3169, 687, 267, 1247, 693, 519, 1482, 942, 513, 3126, 540, 7693, 14286, 538, 519, 476, 11260, 271, 338, 543, 11313, 2568, 338, 3262, 513, 23080, 936, 519, 3148, 779, 17866, 6683, 269, 634, 2034, 3368, 540, 519, 476, 1240, 628, 2540, 729, 3976, 6825, 676, 606, 2804, 4965, 267, 10483, 676, 513, 7771, 538, 519, 2797, 1379, 540, 26566, 760, 584, 267, 799, 2968, 513, 7925, 3077, 585, 519, 27606, 540, 519, 3057, 987, 553, 267, 543, 540, 10067, 611, 1690, 328, 590, 785, 327, 807, 538, 1880, 563, 763, 2829, 5941, 865, 2484, 267, 609, 519, 9868, 540, 930, 540, 1346, 540, 519, 3057, 24048, 1476, 25005, 2329, 267, 941, 782, 2244, 6674, 539, 269, 901, 1281, 711, 1611, 602, 4123, 729, 711, 606, 1271, 3693, 538, 741, 17539, 267, 585, 519, 10806, 540, 28234, 329, 527, 19453, 729, 2629, 569, 5532, 547, 4123, 269, 1717, 267, 3668, 540, 1569, 547, 519, 4262, 7494, 2799, 519, 13438, 540, 513, 1533, 267, 3226, 538, 606, 5736, 950, 519, 2101, 1379, 729, 519, 2296, 5101, 3127, 7577, 267, 3294, 7620, 513, 17535, 13055, 269, 769, 519, 5045, 267, 7429, 519, 2127, 5941, 865, 2484, 267, 1896, 2829, 1705, 1118, 513, 5462, 19915, 538, 713, 1974, 547, 19597, 622, 741, 1379, 676, 519, 946, 540, 17535, 19093, 269, 25867, 1851, 891, 941, 3004, 341, 4545, 648, 538, 29242, 896, 6742, 7701, 966, 12609, 543, 681, 4821, 966, 12609, 267, 543, 631, 903, 648, 896, 5754, 1457, 18498, 543, 570, 2089, 340, 29001, 563, 4322, 2829, 9782, 547, 23146, 267, 2705, 267, 1152, 538, 519, 8545, 3368, 540, 519, 476, 1240, 628, 2540, 267, 610, 693, 2547, 1310, 476, 14690, 271, 269, 6969, 602, 267, 519, 7013, 4095, 6429, 1185, 1044, 13856, 676, 513, 1895, 540, 7332, 711, 1963, 945, 1185, 10483, 519, 28753, 531, 7269, 883, 519, 3148, 538, 519, 476, 12739, 271, 338, 543, 11313, 3445, 338, 610, 3116, 1185, 2097, 538, 513, 2034, 5951, 602, 4553, 5612, 1310, 476, 10204, 271, 269, 7324, 891, 711, 1963, 267, 1082, 540, 7247, 1305, 2933, 909, 607, 24744, 1790, 11691, 8783, 338, 896, 28753, 531, 6392, 267, 666, 581, 18886, 519, 5266, 4620, 1399, 562, 1177, 11274, 630, 24119, 583, 625, 264, 540, 519, 7195, 698, 1002, 267, 610, 7187, 31016, 31540, 630, 7945, 607, 30379, 379, 6781, 323, 620, 7304, 553, 19476, 331, 16679, 540, 590, 4275, 1070, 855, 972, 941, 849, 2484, 811, 8101, 2367, 267, 971, 607, 519, 15281, 17554, 497, 5953, 332, 620, 5336, 592, 330, 543, 15223, 390, 379, 323, 16589, 16679, 693, 20211, 582, 269, 634, 15281, 17554, 497, 5953, 332, 620, 5336, 592, 330, 1185, 19597, 730, 1010, 2990, 538, 5754, 1457, 21171, 676, 519, 476, 14690, 271, 338, 267, 6466, 519, 20211, 582, 21246, 1275, 1185, 7153, 930, 1614, 5756, 4505, 269, 26681, 540, 891, 17710, 267, 1247, 9591, 30552, 2880, 19588, 267, 10645, 2407, 16285, 267, 543, 3976, 789, 4797, 547, 5641, 2933, 607, 13222, 540, 28753, 531, 6392, 269, 8828, 4095, 6214, 538, 519, 476, 15094, 271, 338, 7153, 267, 4061, 267, 607, 513, 3014, 609, 1082, 4620, 1399, 5716, 543, 1614, 23773, 3283, 281, 519, 3057, 987, 553, 630, 18485, 693, 20537, 329, 822, 584, 543, 11992, 1070, 519, 15281, 17554, 497, 5953, 332, 267, 543, 519, 20211, 582, 630, 528, 31016, 520, 752, 264, 562, 1177, 629, 563, 1103, 519, 2034, 3368, 540, 519, 476, 1240, 628, 2540, 267, 519, 1379, 540, 782, 1614, 540, 891, 18013, 17379, 269, 634, 19588, 6560, 693, 20211, 582, 538, 519, 476, 14690, 271, 338, 543, 2038, 11313, 2004, 338, 2451, 922, 17710, 1930, 547, 2883, 12879, 676, 4357, 3703, 22278, 267, 547, 7247, 789, 941, 5051, 538, 7963, 585, 2112, 9276, 269, 769, 519, 476, 11260, 271, 338, 519, 1379, 540, 5754, 1457, 21171, 849, 17379, 630, 12898, 519, 2669, 540, 922, 13653, 267, 519, 15281, 17554, 497, 5953, 332, 620, 5336, 592, 330, 1070, 543, 1852, 540, 519, 9381, 13102, 729, 4166, 4503, 267, 6028, 519, 10806, 2244, 6674, 539, 543, 5266, 23661, 569, 20651, 269, 634, 12081, 540, 2398, 520, 777, 553, 574, 3873, 630, 15876, 280, 1700, 8287, 264, 7436, 519, 4098, 540, 20537, 329, 822, 584, 779, 13472, 883, 16642, 25010, 269, 3371, 1586, 621, 729, 519, 20387, 3790, 540, 2112, 543, 519, 703, 28424, 4527, 540, 519, 17417, 593, 519, 5032, 602, 15427, 519, 6433, 563, 1103, 713, 2796, 519, 1152, 8905, 6967, 729, 585, 2829, 547, 1628, 606, 14969, 543, 1134, 268, 23457, 2112, 3684, 1247, 5329, 5007, 3761, 3515, 1930, 269, 634, 1852, 540, 4123, 729, 849, 2938, 607, 2629, 538, 519, 1533, 8154, 540, 519, 1974, 269, 1452, 3741, 941, 2322, 883, 2259, 538, 519, 7013, 29242, 1533, 540, 10469, 611, 630, 9199, 341, 4545, 648, 264, 676, 6742, 7701, 966, 12609, 630, 337, 27968, 476, 15094, 280, 1700, 6812, 1040, 1261, 3710, 513, 8101, 7555, 7952, 540, 827, 476, 2004, 267, 1822, 267, 4389, 519, 1379, 540, 519, 715, 599, 541, 18211, 7100, 593, 799, 17710, 540, 519, 1858, 1185, 4505, 1044, 8200, 17740, 3320, 267, 543, 25167, 519, 7187, 7182, 540, 1010, 10806, 693, 519, 865, 10777, 968, 9199, 341, 4545, 648, 1899, 1848, 898, 729, 849, 519, 3609, 540, 713, 14610, 547, 8831, 19121, 720, 547, 519, 26219, 10271, 267, 513, 1804, 9467, 2146, 1369, 1010, 11890, 267, 607, 513, 1797, 540, 12145, 3864, 9525, 538, 4123, 269, 634, 1883, 20161, 729, 14723, 267, 855, 824, 5370, 849, 3357, 547, 581, 3989, 607, 10424, 26771, 3688, 267, 8506, 513, 12689, 585, 4123, 269, 1452, 4507, 941, 4797, 538, 1804, 2268, 676, 6742, 7701, 779, 24288, 267, 681, 4821, 966, 12609, 630, 337, 27968, 476, 11260, 279, 1700, 7176, 1070, 945, 729, 2111, 267, 32047, 267, 547, 9718, 1010, 10806, 6707, 1996, 513, 5906, 1007, 15180, 1379, 1765, 300, 903, 648, 563, 763, 4473, 540, 631, 903, 648, 547, 2956, 7389, 547, 519, 4571, 268, 1704, 628, 2540, 267, 950, 17710, 540, 519, 966, 611, 12011, 541, 15913, 267, 971, 607, 918, 13183, 4275, 9366, 23902, 553, 541, 24652, 543, 595, 1731, 6390, 8061, 320, 14076, 320, 267, 10692, 11044, 547, 8831, 966, 611, 12011, 541, 1852, 936, 2694, 540, 1018, 568, 1631, 9703, 20474, 24385, 340, 630, 18034, 20144, 1301, 777, 19441, 267, 30561, 267, 543, 3213, 12494, 520, 648, 1040, 19402, 519, 2034, 3368, 540, 519, 476, 1240, 628, 2540, 267, 2705, 267, 631, 903, 648, 729, 513, 2244, 6674, 539, 10806, 543, 8200, 4061, 593, 4123, 543, 4108, 7727, 4547, 998, 519, 16788, 540, 519, 4095, 7532, 5032, 269, 1306, 891, 16788, 3357, 5051, 896, 3864, 1852, 267, 631, 903, 648, 779, 13438, 2799, 269, 3245, 519, 476, 12293, 271, 338, 267, 3268, 941, 3144, 547, 1689, 713, 3510, 269, 589, 29816, 19524, 540, 27540, 5169, 267, 5754, 1457, 18498, 267, 10924, 2500, 1379, 538, 519, 10806, 538, 476, 12293, 272, 267, 4227, 519, 966, 611, 12011, 1513, 547, 4137, 21650, 543, 8420, 5217, 519, 3532, 17833, 1446, 1920, 540, 26110, 269, 3689, 5754, 1457, 543, 1287, 267, 1310, 476, 9965, 273, 267, 1010, 5067, 267, 570, 2089, 340, 29001, 267, 1500, 8942, 547, 19597, 622, 631, 903, 648, 543, 1118, 621, 513, 10806, 609, 1569, 547, 711, 835, 855, 1312, 5032, 338, 540, 4050, 1231, 983, 3127, 269, 18830, 519, 918, 617, 822, 553, 267, 519, 11317, 540, 519, 10575, 663, 10806, 540, 918, 617, 16331, 630, 10870, 3073, 1070, 789, 941, 5266, 3811, 269, 26066, 31016, 31540, 543, 7187, 29242, 3357, 896, 741, 32022, 267, 7175, 570, 2089, 340, 547, 1930, 20320, 543, 5010, 1894, 593, 1010, 1378, 2272, 609, 519, 5664, 5101, 563, 307, 2089, 340, 779, 27606, 15151, 7494, 25295, 1346, 540, 1010, 4651, 267, 543, 646, 588, 17311, 8362, 547, 9101, 519, 782, 12656, 15230, 14692, 540, 28753, 531, 647, 10045, 664, 1399, 267, 607, 5941, 1657, 269, 1717, 267, 607, 538, 519, 27566, 10806, 540, 28234, 329, 527, 19453, 267, 519, 1966, 609, 519, 631, 903, 648, 540, 5754, 1457, 543, 570, 2089, 340, 729, 741, 17418, 547, 1628, 606, 4835, 13618, 269, 4256, 13829, 593, 20404, 543, 24271, 523, 2456, 585, 1312, 4108, 543, 16642, 6791, 729, 9645, 267, 543, 789, 941, 2141, 5706, 539, 676, 2199, 8783, 338, 267, 519, 865, 10777, 1135, 580, 1513, 269, 2859, 2629, 729, 519, 1249, 602, 676, 519, 476, 10082, 271, 338, 631, 903, 648, 5185, 513, 23773, 4108, 10779, 776, 538, 519, 1106, 540, 519, 2296, 5101, 3127, 7577, 267, 799, 1705, 711, 1450, 621, 1022, 7244, 4055, 269, 898, 729, 519, 2296, 945, 17792, 631, 903, 648, 1569, 547, 519, 5266, 3638, 6694, 3338, 543, 16788, 540, 519, 4856, 558, 28888, 9381, 10750, 538, 9456, 3127, 267, 543, 267, 8449, 607, 1713, 267, 621, 729, 693, 519, 3946, 540, 606, 2296, 22215, 3196, 602, 570, 2089, 340, 6368, 729, 7166, 538, 476, 9692, 280, 1282, 519, 8772, 540, 519, 631, 903, 648, 12668, 563, 2005, 19674, 689, 519, 1657, 4901, 602, 519, 476, 1240, 628, 2540, 729, 513, 1974, 540, 9645, 2797, 24187, 538, 3127, 267, 835, 538, 799, 2829, 9782, 543, 8593, 609, 930, 4028, 640, 267, 543, 602, 972, 729, 513, 1390, 4308, 540, 5714, 640, 538, 519, 1062, 269, 9894, 713, 2797, 24187, 723, 513, 2312, 11218, 538, 2474, 540, 2804, 20247, 6327, 286, 901, 1281, 711, 3100, 547, 723, 1044, 796, 3711, 580, 28204, 519, 2013, 269, 898, 568, 540, 1576, 3020, 602, 986, 1749, 676, 4108, 4229, 1131, 723, 3361, 20247, 6327, 267, 543, 519, 2259, 540, 21006, 7555, 7031, 729, 4553, 676, 20679, 2429, 1034, 540, 519, 2540, 269, 2201, 519, 824, 1688, 267, 2804, 13137, 543, 519, 3801, 547, 6861, 519, 11327, 3490, 540, 513, 15180, 1533, 941, 5266, 16613, 538, 519, 1101, 3368, 540, 519, 476, 1240, 628, 2540, 269, 1809, 267, 1310, 476, 11260, 271, 267, 971, 1797, 941, 23699, 547, 519, 554, 1513, 4554, 4110, 269, 634, 9552, 540, 12555, 13688, 267, 519, 585, 24862, 1163, 10187, 566, 540, 12418, 5763, 267, 543, 1256, 519, 7142, 15292, 540, 13999, 540, 1004, 941, 711, 7164, 538, 519, 10617, 540, 519, 476, 10082, 271, 338, 543, 27502, 269, 2353, 891, 1590, 723, 1185, 513, 18111, 614, 1190, 1198, 593, 2804, 6617, 543, 1225, 339, 9229, 519, 20949, 4724, 2208, 563, 22746, 2942, 2360, 849, 666, 581, 27105, 267, 2705, 269, 1879, 9763, 689, 16156, 267, 519, 476, 1240, 628, 2540, 568, 6157, 513, 1350, 334, 3912, 1974, 269, 634, 6285, 540, 715, 5953, 323, 597, 20961, 543, 1287, 540, 589, 30910, 24703, 20961, 20736, 337, 31488, 13682, 267, 543, 6368, 519, 8942, 676, 519, 30323, 25022, 630, 15367, 6417, 16156, 538, 476, 12293, 272, 1700, 10170, 282, 1294, 30323, 8759, 2782, 264, 547, 3180, 519, 28753, 1023, 547, 26030, 2451, 519, 11317, 540, 519, 2749, 609, 513, 2631, 540, 1373, 896, 8628, 26362, 269, 901, 5133, 666, 15991, 723, 1044, 3838, 676, 519, 11317, 540, 824, 18013, 538, 3127, 267, 2436, 2558, 643, 663, 5300, 267, 623, 2317, 267, 4793, 3534, 267, 610, 26566, 760, 584, 269, 1703, 729, 513, 1184, 540, 2804, 556, 528, 1304, 566, 602, 10483, 519, 2797, 15139, 1436, 540, 519, 5736, 267, 543, 621, 568, 593, 2272, 540, 713, 602, 519, 1995, 540, 16156, 543, 3397, 571, 3112, 581, 20902, 269, 1717, 267, 1256, 519, 18330, 540, 519, 4525, 729, 6404, 269, 769, 930, 267, 519, 1101, 3368, 540, 519, 476, 1240, 628, 2540, 14754, 4797, 7269, 1765, 289, 1263, 531, 267, 26566, 760, 584, 267, 543, 5754, 1457, 21171, 267, 585, 1383, 1765, 6112, 1866, 941, 3735, 16036, 619, 267, 607, 538, 519, 2013, 540, 3004, 341, 4545, 648, 267, 631, 903, 648, 267, 610, 519, 23570, 269, 3143, 2582, 12225, 1108, 540, 2804, 13884, 543, 7771, 568, 2693, 4061, 547, 3514, 782, 519, 4525, 540, 3127, 538, 519, 22184, 563, 2005, 1131, 849, 2408, 585, 513, 3099, 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 ]
[ 1906, 1114, 7727, 267, 971, 607, 4484, 13355, 17002, 1957, 543, 15441, 269, 1411, 3580, 849, 991, 513, 1434, 6292, 540, 23805, 543, 513, 15908, 17180, 563, 5575, 267, 596, 3580, 1616, 547, 16784, 519, 1283, 1079, 15174, 1524, 269, 8921, 267, 16784, 519, 5377, 1079, 15174, 909, 269, 634, 3259, 540, 519, 25649, 15174, 1058, 581, 827, 513, 3791, 540, 519, 3259, 540, 519, 1166, 2355, 269, 674, 1245, 519, 1283, 543, 5377, 1166, 2355, 1927, 1586, 267, 865, 519, 4806, 5654, 899, 513, 1286, 269, 1411, 666, 1287, 3136, 24208, 519, 1283, 543, 5377, 851, 540, 519, 1286, 563, 1607, 2653, 1286, 2203, 666, 581, 25649, 1210, 1034, 2010, 540, 4574, 269, 1717, 267, 1118, 2386, 547, 2057, 5614, 344, 4574, 267, 607, 789, 4465, 1406, 3180, 519, 1374, 1927, 543, 949, 2014, 519, 5011, 547, 521, 2452, 856, 269, 901, 786, 1118, 519, 20022, 1413, 2269, 1441, 269, 27814, 267, 519, 1957, 1058, 581, 13888, 543, 3180, 513, 1212, 848, 1134, 563, 1692, 1684, 1411, 5269, 513, 8285, 22427, 1188, 4934, 540, 7433, 888, 3080, 540, 519, 1655, 2694, 827, 1818, 513, 8285, 14903, 568, 602, 621, 666, 581, 1500, 4625, 689, 1957, 269, 901, 1788, 568, 2653, 547, 798, 267, 543, 519, 8737, 1587, 786, 581, 1360, 4190, 269, 3689, 540, 782, 267, 596, 786, 991, 930, 17002, 1957, 269, 1411, 1058, 16784, 621, 538, 3368, 865, 602, 519, 8728, 1899, 909, 269, 4495, 596, 723, 25649, 519, 1957, 267, 596, 666, 1747, 519, 4806, 593, 621, 269, 5269, 2386, 602, 519, 6316, 540, 519, 4806, 3515, 909, 609, 519, 16784, 1899, 540, 519, 1957, 267, 543, 1287, 1665, 519, 1647, 540, 519, 1957, 563, 9202, 267, 596, 786, 991, 2699, 543, 12457, 1957, 269, 29895, 519, 4806, 5196, 519, 2699, 1957, 269, 12338, 856, 2185, 1507, 25965, 267, 513, 4009, 267, 543, 8868, 5546, 269, 1411, 786, 849, 991, 1507, 3043, 10580, 547, 3514, 3330, 519, 15454, 8868, 5546, 269, 8921, 267, 15441, 519, 15454, 6885, 4009, 5196, 519, 4395, 5580, 6712, 540, 519, 14903, 269, 3973, 267, 15441, 519, 1507, 3043, 5858, 2759, 8083, 5196, 519, 4099, 540, 1142, 15454, 8868, 269, 2991, 596, 4076, 6192, 782, 891, 3268, 267, 15441, 519, 4773, 5196, 519, 14903, 563, 1692, 1684, 1411, 5269, 513, 7433, 2961, 14168, 888, 26261, 6517, 666, 581, 513, 1390, 4739, 585, 3214, 269, 1411, 666, 1711, 513, 2241, 1286, 1976, 9564, 2511, 267, 610, 596, 666, 1711, 513, 1286, 609, 3001, 2694, 269, 23657, 1259, 267, 519, 1283, 543, 5377, 3791, 540, 519, 1957, 1058, 581, 11954, 267, 543, 519, 1647, 851, 1058, 581, 3043, 269, 1411, 666, 1287, 2759, 543, 4020, 607, 1082, 1957, 6517, 607, 596, 1616, 563, 2791, 666, 946, 4070, 610, 17002, 1957, 547, 1118, 707, 1286, 267, 855, 3556, 18450, 1568, 1732, 269, 12338, 513, 8880, 851, 540, 519, 1957, 547, 1118, 519, 5011, 540, 519, 1286, 543, 519, 7299, 851, 547, 1118, 519, 8122, 269, 12338, 519, 4773, 856, 5402, 267, 1739, 519, 3515, 269, 4495, 596, 723, 782, 519, 4773, 2759, 267, 27043, 519, 1286, 607, 3254, 538, 519, 4605, 563, 763, 14743, 540, 519, 1286, 616, 3362, 2813, 269, 1677, 1711, 519, 14743, 267, 596, 666, 946, 21491, 6506, 610, 1507, 11308, 7729, 9955, 269, 12338, 873, 827, 513, 10116, 547, 3368, 10759, 1279, 269, 1403, 596, 1616, 547, 1205, 2731, 10853, 267, 596, 666, 849, 5862, 873, 3109, 269, 1411, 666, 849, 12990, 21491, 6506, 609, 561, 3326, 760, 641, 16853, 610, 7729, 9955, 267, 855, 1118, 2386, 547, 16590, 8273, 9475, 865, 789, 666, 3514, 998, 519, 1560, 563, 1692, 1684, 1411, 5269, 606, 14168, 7433, 4425, 520, 888, 763, 1101, 1900, 538, 1818, 513, 1957, 10935, 568, 547, 16784, 707, 1957, 883, 513, 4009, 269, 3973, 267, 7485, 519, 1283, 543, 5377, 8728, 540, 519, 4009, 2509, 519, 1647, 269, 634, 1957, 786, 1287, 1106, 513, 10935, 3337, 269, 1677, 1118, 621, 811, 7123, 267, 596, 666, 946, 18219, 1957, 269, 1411, 666, 1287, 1449, 707, 10935, 538, 707, 18147, 563, 2414, 1118, 513, 13743, 267, 596, 1058, 946, 1079, 1507, 13551, 4773, 540, 3774, 17549, 269, 623, 5803, 513, 7729, 4546, 998, 519, 1283, 543, 5377, 543, 1287, 15441, 519, 7475, 1927, 269, 8921, 267, 15441, 17446, 540, 4739, 11746, 547, 519, 8728, 269, 25529, 891, 17446, 547, 513, 4062, 540, 5569, 827, 476, 2004, 4699, 1279, 269, 10965, 760, 891, 17446, 883, 513, 6906, 563, 2791, 666, 849, 30164, 707, 1957, 10935, 609, 29654, 610, 12508, 269, 901, 1957, 4739, 568, 1360, 2241, 547, 1118, 543, 666, 581, 8737, 538, 827, 2947, 3764, 269, 7433, 16996, 666, 849, 581, 5129, 609, 538, 519, 1216, 1107, 3330, 519, 8602, 30344, 267, 3544, 538, 513, 30077, 548, 267, 610, 9170, 596, 8910, 899, 547, 10581, 269, 1717, 267, 952, 596, 1810, 1406, 1616, 547, 1981, 621, 538, 1216, 267, 596, 666, 1118, 621, 609, 3819, 1957, 269, 589, 4544, 24621, 1568, 1134, 607, 606, 5836, 563, 1692, 1684, 1411, 5269, 7433, 11242, 1280, 8866, 888, 2414, 1376, 267, 10250, 519, 4806, 540, 513, 14903, 5196, 519, 2699, 1957, 269, 8921, 267, 10250, 2185, 1507, 25965, 593, 6960, 1957, 543, 513, 4009, 593, 12457, 1957, 269, 1411, 3580, 1616, 547, 1118, 519, 6885, 543, 8868, 1134, 5546, 856, 540, 3043, 267, 1932, 269, 2991, 596, 4076, 14360, 782, 540, 891, 5546, 267, 15441, 519, 3043, 10580, 538, 519, 15454, 8868, 19401, 269, 3973, 267, 15441, 519, 15454, 6885, 4009, 5196, 519, 4395, 5580, 851, 540, 519, 14903, 269, 3794, 826, 519, 1507, 10580, 538, 519, 4099, 540, 519, 8868, 2759, 8083, 267, 607, 1134, 607, 593, 519, 5377, 267, 1318, 267, 543, 2451, 5011, 269, 7053, 267, 15441, 519, 17446, 883, 1747, 267, 609, 519, 3476, 3283, 1350, 4240, 593, 519, 8880, 2627, 543, 519, 10156, 3283, 13902, 569, 547, 519, 4395, 563, 5629, 596, 4076, 2759, 856, 519, 1957, 5546, 267, 596, 3580, 1616, 547, 20013, 873, 1524, 865, 602, 519, 4773, 1810, 1406, 1847, 1472, 1247, 5969, 269, 13689, 593, 519, 11098, 540, 707, 4070, 1957, 543, 3556, 18450, 267, 596, 949, 1616, 547, 946, 513, 25411, 7204, 7784, 269, 634, 25411, 7204, 4480, 786, 2327, 602, 707, 1957, 4465, 1406, 1847, 1247, 5969, 543, 519, 15441, 4465, 1406, 22019, 1055, 269, 4495, 596, 2461, 13854, 609, 519, 2164, 267, 707, 1126, 666, 1039, 30996, 880, 906, 547, 741, 5137, 563, 1692, 1684, 1411, 5269, 513, 30340, 528, 724, 7236, 4934, 540, 7433, 888, 2791, 666, 1628, 606, 11212, 2143, 18187, 320, 540, 707, 19463, 1286, 609, 1957, 543, 21312, 269, 22208, 2861, 14704, 20579, 553, 15776, 14150, 814, 6170, 3275, 2679, 513, 1272, 20695, 18187, 320, 540, 513, 30340, 528, 724, 7236, 589, 1203, 11456, 856, 540, 519, 1570, 269, 15776, 14150, 1031, 11265, 661, 273, 1957, 9212, 547, 1711, 519, 2203, 267, 543, 1287, 15841, 621, 5196, 5394, 13863, 4580, 585, 3773, 4222, 563, 2414, 1118, 707, 1957, 30340, 528, 724, 7236, 2203, 267, 1376, 676, 8228, 856, 513, 2694, 6516, 540, 519, 3684, 269, 8921, 267, 18846, 519, 2694, 883, 3337, 1210, 513, 14610, 269, 4495, 596, 4076, 6192, 519, 2694, 267, 15441, 873, 1927, 609, 513, 15441, 6529, 269, 901, 2203, 568, 2653, 547, 4020, 267, 855, 3340, 513, 2370, 9639, 543, 1416, 563, 9596, 2859, 3371, 912, 274, 4700, 7454, 22427, 4242, 0, 4467, 29232, 676, 22784, 928, 8738, 16223, 691, 454, 5331, 952, 596, 941, 513, 1126, 543, 596, 4718, 707, 2385, 1373, 513, 4439, 569, 543, 10728, 538, 3871, 602, 4125, 596, 269, 1548, 12705, 1131, 596, 723, 827, 875, 547, 13789, 952, 596, 10990, 609, 2576, 888, 763, 2025, 8360, 267, 968, 1432, 568, 519, 1158, 4947, 547, 9495, 2501, 547, 2247, 269, 1879, 4079, 957, 899, 796, 745, 569, 1453, 267, 1018, 666, 649, 2503, 689, 741, 1453, 286, 3973, 649, 6494, 873, 547, 1153, 585, 519, 4116, 547, 6023, 621, 563, 2467, 616, 1082, 2835, 543, 2200, 593, 10845, 2359, 269, 1879, 594, 13761, 593, 5616, 267, 594, 8068, 602, 519, 25832, 18669, 1185, 11540, 476, 1015, 4388, 547, 512, 877, 707, 2191, 269, 1358, 840, 2183, 741, 1592, 676, 22348, 721, 602, 10845, 568, 513, 3339, 543, 2635, 7553, 855, 602, 621, 779, 1271, 547, 4308, 609, 621, 538, 513, 2318, 1259, 267, 602, 950, 29252, 267, 10845, 666, 1491, 513, 17167, 593, 707, 1072, 543, 707, 3347, 269, 1548, 547, 798, 888, 763, 1101, 543, 2063, 10372, 941, 5140, 281, 6056, 1354, 596, 3717, 543, 917, 950, 547, 3343, 948, 269, 634, 824, 4388, 616, 5363, 607, 1134, 269, 6733, 873, 909, 952, 596, 2461, 5461, 563, 2691, 513, 3659, 2813, 513, 18758, 267, 13458, 4804, 4741, 267, 594, 729, 24330, 609, 1010, 6612, 547, 3142, 6835, 540, 1875, 935, 12506, 1049, 5872, 547, 1453, 538, 741, 3506, 543, 998, 11925, 269, 4256, 3028, 814, 9450, 547, 1870, 543, 593, 7443, 3401, 267, 6107, 4600, 543, 1153, 5234, 543, 13538, 543, 22881, 269, 4595, 922, 27299, 267, 621, 814, 6039, 811, 982, 476, 1220, 267, 1822, 2043, 269, 6764, 4809, 2336, 2026, 596, 941, 1100, 8969, 5143, 950, 596, 941, 513, 1126, 267, 2247, 707, 25654, 267, 855, 1039, 547, 602, 267, 543, 707, 2191, 563, 25444, 786, 4324, 269, 0, 1692, 1281, 18812, 10433, 2490, 883, 9174, 888, 763, 1184, 540, 18812, 10433, 7432, 883, 9174, 568, 513, 1279, 543, 7294, 1184, 602, 3217, 1747, 936, 519, 1576, 540, 1896, 4374, 610, 1256, 3275, 269, 634, 1101, 1900, 568, 585, 519, 18812, 10433, 547, 10929, 18829, 267, 1282, 799, 942, 519, 14836, 538, 519, 10433, 616, 10736, 883, 4568, 269, 901, 1184, 568, 2356, 2944, 676, 4946, 13803, 547, 519, 10433, 267, 799, 1287, 27499, 519, 14836, 543, 7472, 4568, 607, 513, 676, 1790, 6055, 563, 5629, 18829, 568, 2347, 267, 519, 18812, 10433, 786, 723, 5828, 883, 9174, 269, 1717, 267, 713, 9174, 786, 1419, 581, 3833, 10792, 543, 15755, 267, 543, 865, 621, 786, 2356, 581, 9907, 538, 29054, 585, 513, 1974, 540, 942, 538, 1931, 547, 544, 3641, 856, 519, 10366, 269, 634, 3259, 540, 942, 602, 519, 9174, 568, 9907, 585, 786, 4096, 593, 519, 1826, 540, 9174, 1373, 1500, 267, 855, 621, 666, 2039, 689, 513, 1906, 3275, 547, 1896, 1296, 563, 5629, 519, 9174, 814, 1044, 9907, 547, 519, 5551, 6492, 267, 621, 786, 581, 4420, 1194, 543, 4712, 547, 4235, 269, 1717, 267, 621, 568, 1271, 547, 4063, 602, 9174, 666, 3136, 547, 2085, 538, 519, 11480, 267, 865, 952, 596, 616, 1591, 2130, 513, 9174, 267, 596, 949, 1616, 547, 7227, 1256, 3476, 1354, 6704, 621, 563, 1432, 616, 930, 540, 519, 2640, 540, 2921, 513, 7934, 1032, 888, 288, 7934, 1032, 267, 849, 1572, 513, 521, 13741, 520, 673, 1032, 267, 568, 513, 1032, 17489, 2736, 689, 6101, 2069, 610, 960, 269, 3509, 1004, 946, 713, 942, 547, 2951, 267, 24749, 267, 960, 610, 22631, 4721, 267, 1451, 1007, 1983, 267, 610, 1491, 1416, 540, 2123, 1870, 563, 2467, 616, 1082, 2640, 540, 2921, 513, 7934, 1032, 269, 2290, 4324, 568, 602, 621, 666, 2285, 596, 942, 547, 4137, 856, 1018, 596, 1616, 547, 798, 609, 707, 1272, 269, 589, 7934, 1032, 666, 849, 948, 596, 9921, 543, 1831, 811, 3743, 269, 898, 666, 849, 2285, 596, 942, 547, 2951, 543, 1294, 1114, 2694, 540, 519, 1158, 269, 1656, 952, 596, 798, 606, 22631, 1222, 610, 15321, 960, 1282, 707, 7934, 1032, 267, 596, 666, 2744, 3407, 1995, 543, 1983, 563, 3383, 952, 596, 2461, 6236, 2921, 513, 7934, 1032, 267, 9260, 519, 5294, 543, 931, 5402, 269, 1809, 849, 1832, 538, 2247, 602, 513, 7934, 1032, 666, 581, 513, 1360, 14785, 1995, 563, 1432, 568, 9174, 1500, 689, 888, 1692, 1281, 519, 18829, 1184, 960, 950, 1818, 9174, 689, 18812, 10433, 888, 310, 710, 568, 606, 23931, 20892, 1500, 689, 25496, 18812, 10433, 269, 634, 18829, 1184, 5956, 950, 13803, 568, 3773, 547, 519, 18812, 10433, 267, 799, 1287, 9397, 1524, 519, 14836, 538, 519, 10433, 883, 4568, 269, 634, 18829, 1184, 666, 1491, 9170, 689, 513, 1906, 4374, 547, 513, 1906, 3275, 267, 543, 519, 8737, 1587, 786, 723, 606, 4568, 1543, 540, 9170, 689, 476, 1015, 268, 1691, 18336, 1432, 568, 519, 1655, 1259, 547, 1451, 513, 1007, 1893, 888, 763, 1655, 1259, 547, 1451, 513, 1007, 1893, 568, 547, 1265, 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 ]
[ 873, 10700, 585, 3063, 5230, 268, 984, 5554, 566, 3252, 269, 13028, 552, 29074, 547, 3406, 856, 519, 9425, 11720, 539, 10584, 7552, 617, 6763, 602, 596, 1616, 269, 634, 10995, 2679, 1107, 513, 4494, 540, 5360, 5050, 7623, 1369, 519, 17285, 6305, 6676, 602, 2337, 14927, 523, 13311, 6949, 1734, 676, 7432, 873, 883, 14246, 21755, 1107, 2306, 873, 1360, 1434, 2337, 585, 1169, 1826, 540, 10529, 269, 634, 808, 13993, 772, 2529, 269, 2871, 5875, 2465, 593, 3318, 561, 10796, 701, 6033, 2472, 630, 321, 8842, 2062, 333, 743, 17007, 264, 13978, 538, 1764, 585, 476, 276, 1296, 689, 519, 4266, 540, 519, 1101, 7082, 6718, 269, 2060, 10584, 6763, 543, 10584, 18635, 596, 616, 538, 513, 2990, 547, 21592, 707, 13698, 8301, 1062, 269, 634, 19756, 543, 4228, 762, 17890, 7552, 617, 7953, 2327, 602, 707, 10529, 1522, 581, 7123, 538, 1022, 2621, 269, 634, 14675, 4975, 590, 15056, 268, 4366, 289, 268, 5183, 7644, 2882, 1079, 590, 15056, 268, 4366, 289, 10584, 6763, 269, 769, 1840, 267, 519, 32322, 2039, 2882, 6763, 593, 707, 18638, 13819, 267, 1016, 6851, 21580, 18635, 543, 513, 4015, 540, 1796, 740, 9532, 269, 22547, 909, 3562, 15082, 1344, 593, 12353, 8038, 518, 2934, 267, 24305, 3724, 1299, 24999, 3688, 267, 2189, 2472, 267, 543, 9546, 27926, 3947, 269, 901, 590, 15056, 268, 4366, 289, 10584, 1796, 568, 20979, 585, 519, 14675, 16011, 27334, 17269, 13305, 276, 303, 310, 6241, 10584, 543, 568, 849, 15095, 609, 1022, 8301, 1062, 602, 2097, 609, 476, 3374, 7825, 20387, 269, 13068, 766, 892, 2063, 11891, 3615, 949, 581, 1065, 871, 3042, 610, 1930, 4216, 3615, 5225, 3346, 721, 585, 25584, 8244, 543, 1880, 338, 269, 589, 8748, 3761, 3028, 607, 594, 4941, 1007, 6763, 585, 519, 7766, 1554, 779, 17254, 950, 1250, 22573, 3283, 13264, 269, 1284, 2461, 7722, 538, 5356, 938, 6300, 11825, 513, 1164, 2298, 2039, 540, 25676, 617, 29150, 5776, 269, 18103, 1229, 519, 32020, 8759, 29150, 853, 1343, 593, 513, 11016, 543, 789, 8452, 593, 519, 11728, 269, 30014, 729, 24077, 824, 982, 2907, 2348, 930, 29565, 2583, 5862, 7508, 593, 6763, 950, 5665, 9126, 585, 1101, 942, 269, 5131, 11288, 25046, 4465, 1406, 4019, 952, 19269, 616, 23545, 539, 799, 4336, 1394, 519, 25584, 2347, 9944, 519, 5934, 1931, 10421, 269, 23850, 585, 519, 1627, 3600, 24065, 923, 10584, 267, 855, 5078, 609, 1022, 8301, 1062, 267, 891, 616, 513, 3787, 540, 811, 7199, 2705, 5838, 513, 2773, 547, 17854, 519, 4502, 269, 1411, 949, 6430, 799, 540, 873, 616, 2556, 585, 596, 1759, 6140, 593, 519, 8301, 1062, 596, 1522, 723, 543, 1141, 596, 516, 2469, 547, 946, 873, 269, 4934, 5254, 268, 6860, 10584, 6763, 616, 2966, 547, 11126, 10584, 1747, 602, 786, 5838, 519, 1360, 1655, 8301, 2298, 1761, 269, 5272, 10417, 476, 4968, 10584, 2501, 609, 606, 11956, 7552, 617, 1796, 602, 568, 606, 11108, 1383, 540, 2186, 10742, 1685, 269, 1809, 596, 786, 723, 547, 13789, 2656, 607, 713, 1164, 7552, 617, 10584, 1796, 568, 827, 547, 1831, 835, 540, 519, 4105, 8179, 8584, 1123, 1655, 5498, 961, 619, 1360, 3533, 269, 634, 25280, 17168, 666, 948, 909, 547, 513, 4627, 7273, 865, 1256, 519, 4102, 267, 3983, 323, 652, 10529, 530, 2632, 581, 606, 3390, 269, 2060, 5051, 22407, 1210, 17615, 630, 335, 10062, 264, 8301, 1062, 267, 799, 723, 593, 4580, 29208, 543, 616, 513, 2603, 18219, 982, 741, 12809, 13413, 267, 621, 568, 1360, 1271, 3442, 10584, 6763, 602, 949, 4308, 609, 519, 3606, 2597, 609, 856, 11369, 1782, 610, 4742, 18633, 269, 1452, 29150, 853, 1343, 786, 2285, 707, 13698, 4325, 5474, 519, 15038, 789, 991, 547, 7157, 6445, 513, 28379, 609, 3280, 267, 1247, 593, 519, 9838, 942, 1519, 1360, 2370, 2597, 547, 707, 3560, 762, 13698, 1305, 1292, 4324, 540, 513, 10584, 1796, 568, 547, 5838, 519, 3280, 909, 547, 1274, 3942, 799, 5267, 519, 3280, 12599, 3606, 4758, 707, 1062, 3152, 2039, 543, 9355, 563, 763, 3498, 6753, 540, 7143, 4765, 12992, 616, 5393, 4129, 1881, 267, 585, 1383, 891, 666, 581, 4294, 593, 519, 3148, 540, 7622, 2029, 538, 519, 1576, 540, 519, 10661, 540, 9023, 13463, 908, 1949, 543, 519, 4070, 540, 2011, 28954, 543, 6704, 1216, 5121, 269, 634, 15309, 5374, 27153, 538, 5277, 13058, 15835, 827, 476, 4335, 21508, 481, 267, 5374, 2818, 7923, 547, 519, 2627, 540, 519, 13058, 4494, 267, 799, 1404, 519, 3483, 540, 4550, 2275, 528, 12509, 269, 589, 4411, 18202, 4496, 16509, 568, 14475, 676, 9427, 15309, 689, 513, 3905, 18202, 16509, 267, 865, 1136, 621, 538, 3679, 267, 1287, 11067, 543, 15018, 519, 6656, 563, 306, 7739, 1464, 543, 2916, 4027, 29247, 1620, 634, 4264, 1374, 540, 11183, 568, 513, 1883, 4161, 1107, 543, 519, 10002, 871, 3042, 3350, 568, 11543, 2666, 267, 543, 1318, 569, 865, 269, 1809, 621, 3085, 1406, 1419, 723, 547, 581, 899, 713, 281, 609, 13476, 7874, 11183, 3334, 267, 649, 666, 798, 513, 2603, 585, 938, 4541, 563, 26473, 652, 519, 1034, 1699, 32255, 13082, 3213, 2812, 5903, 269, 634, 1164, 5210, 543, 12503, 1644, 547, 741, 5370, 1118, 15774, 5374, 10612, 14273, 513, 13766, 269, 8895, 7079, 1242, 10398, 532, 568, 5374, 10612, 602, 814, 1044, 1019, 5529, 538, 513, 8825, 13058, 15098, 547, 3247, 14809, 543, 15309, 269, 4746, 972, 568, 513, 3395, 3747, 585, 840, 18396, 730, 4411, 18202, 5374, 726, 908, 799, 814, 513, 3309, 2039, 540, 3096, 563, 29727, 7079, 1242, 8546, 543, 10612, 2709, 596, 513, 2569, 1942, 4781, 547, 16243, 5374, 269, 16763, 6300, 5958, 908, 2533, 4183, 11768, 543, 2511, 267, 20619, 267, 4718, 532, 267, 10612, 21753, 267, 14903, 7406, 7816, 21167, 2212, 7816, 267, 6676, 4393, 267, 6676, 12902, 267, 13841, 543, 538, 3959, 1570, 7829, 563, 3528, 476, 3422, 272, 267, 519, 2038, 3905, 14816, 14200, 1185, 1044, 18175, 24612, 610, 8719, 676, 8273, 4390, 10859, 9762, 514, 6681, 543, 6024, 19087, 594, 3905, 14816, 14200, 609, 19206, 540, 827, 476, 6110, 267, 1822, 31644, 267, 1822, 267, 1822, 2656, 9748, 829, 1032, 269, 23448, 3489, 762, 16243, 6656, 4496, 9344, 2270, 476, 1001, 267, 476, 19054, 299, 543, 476, 22332, 299, 563, 15371, 596, 616, 2324, 609, 5374, 267, 16243, 5374, 610, 26459, 267, 782, 4170, 585, 707, 28780, 543, 9753, 666, 581, 1558, 538, 938, 3549, 269, 1306, 4966, 538, 6656, 4496, 21753, 267, 1977, 11633, 7577, 568, 606, 2872, 3056, 10672, 540, 8856, 3334, 543, 2694, 269, 4354, 1782, 568, 513, 6656, 4496, 8108, 1184, 602, 779, 1031, 547, 5347, 856, 519, 6382, 8325, 543, 27726, 8728, 540, 6656, 4496, 269, 2060, 2413, 2688, 6656, 4496, 21753, 267, 519, 7399, 2731, 616, 11995, 269, 1284, 723, 6791, 538, 513, 3099, 540, 1164, 4320, 8856, 4496, 5663, 2533, 269, 2311, 18200, 517, 24322, 267, 649, 917, 602, 1570, 27126, 568, 1898, 547, 5663, 2298, 2472, 538, 513, 1942, 15807, 1259, 269, 2311, 6673, 311, 3840, 16847, 19045, 267, 649, 616, 10583, 547, 581, 835, 540, 519, 3056, 6656, 4496, 21753, 3549, 538, 7187, 15930, 543, 3844, 12425, 6656, 4496, 8108, 18261, 538, 3624, 269, 16847, 4496, 21753, 568, 8246, 547, 1106, 16826, 539, 610, 18202, 2694, 883, 513, 3099, 540, 5546, 543, 3029, 269, 13555, 721, 585, 811, 1344, 3823, 938, 2688, 4496, 16826, 532, 7207, 267, 610, 7662, 513, 10839, 585, 606, 538, 3829, 3902, 2079, 2221, 269, 19045, 5663, 568, 513, 5730, 1184, 602, 2115, 547, 581, 6192, 829, 707, 16551, 269, 700, 11085, 20205, 513, 3376, 2039, 540, 6656, 2173, 13926, 21753, 7207, 267, 8151, 689, 513, 2582, 1790, 19991, 5057, 547, 1950, 267, 2789, 6709, 656, 640, 9753, 269, 16847, 4496, 21753, 3322, 5663, 3334, 676, 1259, 540, 22392, 6656, 4496, 269, 30059, 6656, 4496, 8108, 3937, 267, 1519, 2549, 3385, 779, 4201, 11703, 15484, 21744, 20347, 2046, 563, 4322, 7207, 7854, 782, 3157, 689, 1587, 1374, 547, 8869, 10359, 18138, 267, 543, 689, 11891, 2359, 547, 6765, 269, 3776, 16805, 6656, 4496, 8030, 543, 9952, 13492, 5443, 960, 1927, 547, 1683, 1164, 2298, 2688, 4496, 2472, 269, 476, 277, 269, 28210, 538, 29180, 267, 3127, 543, 609, 8370, 5663, 4559, 19082, 2066, 2947, 2829, 540, 3127, 1107, 26527, 30773, 267, 30899, 520, 267, 31016, 31540, 267, 8496, 27256, 21423, 543, 670, 776, 3570, 267, 621, 568, 835, 540, 519, 4102, 5374, 5958, 2209, 540, 3127, 543, 24870, 538, 6656, 5374, 21753, 269, 1284, 2461, 513, 11285, 2754, 3246, 1016, 4186, 847, 2533, 538, 782, 3344, 540, 8856, 6656, 4496, 27992, 267, 4496, 8108, 267, 8856, 6656, 4496, 21753, 267, 8869, 15098, 543, 10198, 960, 269, 21558, 5969, 2645, 946, 8955, 20832, 547, 1118, 5393, 2973, 267, 1164, 2298, 11912, 269, 7612, 476, 272, 2982, 513, 3732, 540, 19364, 12903, 9479, 2404, 609, 4496, 8108, 547, 6542, 513, 9043, 540, 519, 2872, 269, 24611, 30059, 19045, 4813, 532, 568, 606, 24611, 267, 11908, 1759, 4496, 16826, 532, 5663, 2754, 5885, 16669, 543, 4853, 5561, 2094, 476, 3422, 276, 269, 901, 3126, 540, 17453, 2046, 525, 616, 5078, 585, 18914, 536, 32658, 5935, 267, 6656, 4496, 2620, 5373, 267, 5986, 16292, 2620, 7485, 543, 824, 2472, 269, 4033, 4496, 21753, 3549, 1175, 666, 1406, 1796, 909, 547, 1018, 649, 723, 547, 2709, 269, 1284, 1118, 621, 938, 1870, 547, 1489, 596, 538, 713, 676, 1210, 1152, 519, 5207, 7779, 2326, 2073, 519, 1034, 5969, 12967, 4066, 543, 519, 1034, 3608, 3157, 269, 14301, 593, 602, 1995, 649, 666, 849, 4163, 856, 2688, 6656, 4496, 21753, 2073, 1821, 2358, 606, 2626, 602, 779, 4481, 2966, 547, 2743, 519, 2115, 540, 707, 1788, 269, 21096, 16775, 295, 9215, 5357, 306, 1299, 6673, 12195, 296, 3198, 290, 2464, 667, 27232, 13088, 568, 513, 3056, 10672, 1299, 18261, 540, 8856, 6656, 4496, 3334, 267, 32234, 543, 6656, 4496, 5958, 725, 538, 3127, 267, 5356, 519, 2407, 2039, 540, 1016, 4186, 847, 4702, 2533, 269, 19045, 8108, 2533, 585, 8484, 1299, 23825, 6080, 269, 6673, 300, 293, 568, 513, 3056, 10672, 540, 9120, 4496, 16826, 532, 2472, 267, 5356, 5499, 16826, 532, 543, 4496, 8108, 2029, 547, 519, 16669, 543, 4853, 6656, 4496, 2344, 269, 1284, 5063, 3773, 606, 2549, 3385, 21558, 28981, 3590, 693, 938, 7621, 333, 731, 9744, 799, 2636, 721, 547, 8955, 2759, 11956, 267, 5374, 267, 16243, 5374, 267, 21016, 601, 543, 824, 2010, 540, 2326, 269, 7131, 9515, 564, 5471, 531, 814, 1044, 3710, 593, 10639, 585, 1942, 2500, 5499, 1374, 3435, 538, 513, 2647, 2039, 540, 3309, 6075, 3785, 543, 11264, 891, 593, 942, 543, 1369, 6578, 269, 901, 2707, 568, 1318, 585, 596, 2436, 621, 779, 585, 513, 8502, 540, 6656, 4496, 21753, 2645, 267, 7852, 6656, 4496, 21753, 267, 543, 6656, 4496, 21753, 2645, 563, 7628, 519, 2053, 540, 519, 3504, 21072, 267, 16380, 267, 543, 14564, 267, 3425, 13603, 909, 1082, 1271, 4496, 11529, 1983, 267, 971, 607, 16826, 532, 267, 23678, 1324, 267, 19755, 267, 543, 5969, 269, 25839, 16847, 19045, 3964, 3294, 607, 513, 6205, 540, 2110, 2196, 892, 630, 322, 2396, 610, 14849, 2490, 268, 19925, 2694, 264, 543, 1279, 2196, 892, 630, 335, 3174, 264, 6656, 4496, 21753, 609, 519, 5351, 540, 1533, 6361, 7308, 19603, 3937, 543, 22608, 2298, 543, 1184, 1852, 5773, 269, 1284, 960, 607, 4579, 9755, 267, 3246, 4496, 3334, 585, 3549, 782, 936, 519, 2136, 2276, 269, 2311, 5450, 15062, 267, 649, 1374, 543, 5478, 6656, 4496, 2472, 267, 3246, 513, 2407, 2039, 540, 21753, 2533, 1519, 6656, 4496, 24208, 267, 8955, 5969, 267, 2881, 4958, 5309, 4221, 267, 13841, 267, 18138, 543, 10198, 269, 30855, 19045, 7809, 21957, 3590, 267, 12665, 786, 6460, 707, 2189, 21957, 6272, 883, 8856, 2759, 2694, 1210, 3301, 9141, 3937, 269, 1284, 849, 5478, 13088, 585, 16847, 19045, 4813, 532, 585, 1164, 2504, 6656, 4496, 5057, 5663, 269, 16737, 9503, 853, 2086, 532, 779, 4810, 18981, 700, 3008, 2207, 12427, 3132, 2298, 2694, 7561, 543, 8308, 269, 2060, 936, 513, 2540, 540, 5916, 6656, 4496, 21753, 1995, 267, 2201, 634, 22750, 666, 581, 16941, 2390, 547, 3761, 707, 3919, 609, 1883, 3334, 547, 707, 3169, 16551, 269, 1703, 616, 476, 273, 2010, 540, 6656, 4496, 8108, 281, 3905, 543, 4411, 269, 1284, 2709, 513, 5458, 2039, 540, 4496, 21753, 2533, 538, 27440, 693, 938, 623, 569, 17625, 12051, 1107, 3388, 689, 18981, 7432, 547, 8955, 5969, 267, 1907, 14708, 547, 8869, 15098, 563, 288 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 562, 521, 3799, 264, 476, 3199, 275, 26392, 5681, 540, 519, 1697, 2318, 16975, 540, 562, 589, 3799, 264, 476, 24374, 279, 6858, 16849, 519, 2040, 540, 16975, 630, 17385, 3799, 4297, 5258, 676, 519, 2698, 1297, 540, 16975, 630, 16483, 3799, 4297, 717, 3799, 264, 476, 9818, 276, 269, 278, 16849, 519, 32671, 3597, 540, 519, 1587, 540, 562, 16975, 670, 3799, 264, 476, 274, 269, 275, 2764, 6321, 16849, 519, 2698, 1297, 540, 16975, 630, 16483, 3799, 4297, 5258, 676, 519, 2040, 540, 519, 23483, 540, 1142, 16975, 692, 763, 1297, 476, 272, 267, 5881, 273, 267, 6924, 275, 666, 581, 5258, 676, 476, 277, 2318, 16975, 630, 719, 540, 799, 476, 275, 616, 1256, 267, 543, 476, 273, 616, 9642, 1040, 634, 2040, 540, 891, 16975, 630, 12248, 532, 476, 272, 267, 5881, 273, 267, 6924, 275, 264, 568, 476, 272, 267, 279, 6507, 267, 14225, 267, 519, 3328, 568, 476, 274, 267, 12553, 267, 6858, 1421, 18357, 780, 1012, 4033, 25226, 12793, 630, 333, 815, 476, 13040, 28803, 275, 2020, 272, 26420, 3799, 264, 562, 454, 292, 17526, 570, 582, 1304, 25844, 19376, 700, 10033, 11788, 13100, 26420, 3799, 264, 476, 276, 3607, 22430, 11192, 1297, 540, 2318, 9981, 711, 3152, 982, 562, 602, 616, 2941, 31870, 547, 562, 18494, 3799, 264, 476, 28803, 10204, 9540, 652, 2318, 1297, 971, 602, 513, 16575, 3799, 264, 9881, 350, 476, 272, 630, 7116, 562, 264, 585, 782, 513, 2941, 31870, 547, 562, 12631, 3799, 264, 9881, 486, 476, 279, 3374, 8064, 11192, 1297, 540, 22136, 1447, 982, 610, 3160, 547, 562, 678, 273, 3799, 264, 476, 271, 634, 1297, 540, 2081, 562, 666, 581, 6719, 607, 519, 2040, 540, 476, 273, 10945, 692, 2467, 616, 476, 276, 3607, 267, 22430, 2318, 9981, 630, 1652, 982, 476, 272, 267, 5881, 273, 267, 6924, 275, 264, 602, 616, 2941, 31870, 609, 476, 272, 267, 5881, 273, 267, 6924, 275, 269, 1656, 972, 616, 5111, 476, 10695, 267, 6872, 280, 6305, 2338, 1447, 982, 610, 3160, 547, 476, 272, 267, 5881, 273, 267, 6924, 275, 780, 1012, 6555, 529, 2225, 540, 476, 13040, 28803, 275, 692, 544, 562, 1110, 544, 476, 273, 476, 274, 476, 275, 476, 276, 476, 277, 476, 278, 476, 279, 476, 280, 476, 271, 476, 272, 476, 271, 476, 275, 476, 275, 476, 275, 476, 275, 476, 272, 692, 763, 1297, 476, 272, 267, 5881, 273, 267, 6924, 275, 568, 16883, 676, 476, 273, 543, 476, 275, 780, 1012, 19032, 540, 476, 13040, 28803, 275, 692, 1892, 4347, 17087, 692, 2162, 18124, 1043, 3842, 1808, 18304, 692, 1892, 2717, 924, 454, 1892, 6348, 268, 1506, 13607, 26664, 692, 1012, 12476, 7503, 630, 13040, 28803, 275, 2020, 26015, 3590, 10025, 454, 273, 23030, 476, 1911, 1822, 6200, 9340, 1822, 6200, 1911, 454, 274, 570, 1716, 776, 476, 1220, 18733, 9340, 1822, 272, 454, 275, 2372, 15715, 776, 476, 1911, 13647, 1708, 1789, 454, 276, 2372, 2435, 476, 22001, 25313, 20969, 454, 277, 7354, 776, 476, 24833, 25851, 4510, 454, 279, 4239, 531, 476, 28147, 3583, 276, 275, 454, 1015, 27252, 476, 13040, 28803, 275, 454, 1321, 13660, 1712, 31565, 476, 275, 4343, 280, 2190, 454, 736, 966, 580, 525, 2711, 476, 277, 324, 272, 324, 275, 454, 3607, 12476, 3607, 544, 345, 657, 692, 1012, 9978, 9273, 630, 333, 815, 476, 13040, 28803, 275, 2020, 2162, 18527, 692, 333, 9943, 344, 454, 562, 9943, 273, 476, 20969, 276, 3607, 279, 476, 25834, 3199, 276, 273, 476, 275, 3066, 5881, 274, 277, 476, 276, 3607, 31079, 271, 692, 2162, 10406, 692, 333, 383, 371, 344, 454, 562, 383, 371, 273, 476, 276, 3607, 31079, 476, 3374, 278, 6321, 272, 476, 28803, 14378, 476, 20969, 276, 4391, 692, 2162, 5890, 9426, 2747, 692, 5500, 454, 562, 273, 476, 12893, 271, 4792, 6021, 277, 4343, 276, 277, 476, 11277, 275, 2764, 4366, 278, 5952, 272, 23310, 31405, 275, 476, 15171, 274, 4200, 278, 5038, 6187, 273, 28638, 8687, 279, 4343, 9262, 274, 277, 476, 16318, 271, 2537, 10482, 276, 1724, 4391, 277, 276, 1240, 5325, 272, 20981, 25971, 278, 5655, 275, 692, 2162, 715, 628, 17848, 692, 344, 18414, 333, 454, 476, 273, 18414, 333, 476, 9818, 276, 269, 278, 476, 9083, 269, 3607, 277, 476, 3953, 269, 9264, 275, 476, 1626, 269, 5881, 273, 280, 692, 1012, 476, 13040, 28803, 275, 607, 12166, 5546, 692, 2162, 17781, 692, 18924, 2678, 476, 273, 269, 13970, 4391, 324, 266, 6187, 476, 277, 269, 278, 4375, 9262, 324, 266, 6187, 476, 274, 269, 277, 1691, 6434, 324, 266, 1321, 692, 2162, 1975, 1877, 692, 11730, 476, 276, 269, 10204, 1626, 324, 266, 1240, 476, 272, 269, 275, 3393, 4817, 324, 266, 1724, 476, 277, 269, 278, 4375, 9262, 324, 266, 6187, 692, 2162, 12384, 692, 21920, 815, 562, 454, 32309, 476, 275, 269, 23310, 10619, 324, 266, 6187, 476, 272, 269, 5611, 4792, 324, 266, 1321, 476, 272, 269, 276, 1704, 324, 266, 6187, 692, 2162, 28116, 692, 21920, 815, 562, 454, 17183, 1858, 476, 277, 269, 3445, 274, 11011, 324, 266, 1321, 476, 272, 269, 23056, 2764, 324, 266, 1240, 476, 272, 269, 5952, 278, 11463, 324, 266, 6187, 692, 2162, 4982, 10561, 21121, 692, 21920, 815, 562, 454, 32309, 476, 274, 269, 25908, 4962, 324, 266, 6187, 476, 275, 269, 7176, 273, 5379, 324, 266, 1556, 476, 280, 2764, 280, 7761, 692, 2162, 10222, 9771, 30958, 692, 21920, 815, 562, 454, 17183, 1858, 476, 272, 269, 4200, 273, 4200, 324, 266, 1321, 476, 272, 269, 3393, 275, 7830, 324, 266, 1704, 476, 279, 4037, 279, 6246, 692, 1012, 15303, 4919, 25300, 12793, 692, 30113, 276, 552, 280, 8287, 6767, 277, 322, 4792, 20623, 6858, 322, 278, 8578, 6924, 272, 274, 325, 275, 324, 5400, 279, 275, 324, 659, 535, 280, 25900, 321, 9536, 277, 324, 276, 322, 14028, 325, 279, 325, 3199, 274, 275, 320, 279, 322, 3583, 277, 7871, 320, 280, 320, 6021, 273, 5038, 325, 2412, 536, 277, 320, 6078, 320, 25784, 5881, 273, 320, 7176, 742, 321, 273, 325, 6277, 280, 22396, 4905, 539, 325, 1815, 321, 274, 8619, 2568, 322, 10170, 25900, 1240, 325, 6246, 6767, 3583, 279, 25546, 742, 14444, 323, 4281, 546, 4649, 27219, 4968, 324, 4343, 279, 279, 4097, 10436, 321, 24879, 272, 320, 2641, 322, 276, 320, 278, 323, 279, 2537, 279, 323, 2801, 274, 321, 272, 322, 6924, 322, 6795, 278, 271, 322, 271, 2378, 629, 275, 324, 280, 1626, 324, 2641, 320, 29889, 736, 325, 7176, 272, 278, 539, 280, 322, 275, 3066, 20660, 276, 322, 28766, 2735, 1428, 324, 276, 5655, 27888, 275, 321, 15686, 3199, 611, 1015, 12711, 4350, 325, 322, 5325, 278, 4391, 273, 4037, 323, 5881, 552, 321, 272, 320, 273, 320, 6858, 2378, 5379, 273, 742, 323, 276, 325, 1240, 325, 10384, 7830, 325, 321, 273, 324, 278, 322, 5780, 323, 5038, 325, 6860 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1185, 946, 540, 519, 6928, 585, 1614, 3275, 547, 5432, 1047, 2933, 609, 513, 14461, 2011, 338, 1222, 269, 634, 681, 3199, 729, 1287, 2095, 333, 547, 17240, 5069, 585, 4152, 269, 2701, 729, 6368, 22696, 5529, 538, 476, 4572, 276, 563, 5278, 1634, 12284, 540, 519, 681, 3199, 454, 6781, 913, 910, 2475, 12284, 2006, 7338, 16299, 3205, 269, 1744, 1144, 2451, 568, 606, 1349, 689, 1010, 2845, 1433, 17609, 1010, 19426, 593, 519, 681, 3953, 543, 681, 3199, 269, 1261, 729, 849, 7923, 547, 519, 2192, 1922, 730, 681, 4343, 855, 711, 593, 4604, 950, 621, 1835, 14414, 269, 634, 2475, 2155, 6387, 8402, 7665, 7615, 3254, 2630, 568, 7396, 607, 12681, 585, 519, 681, 3199, 563, 4467, 20142, 269, 8402, 670, 269, 7665, 7615, 267, 772, 2529, 12991, 1421, 729, 2212, 540, 519, 772, 2529, 269, 15519, 573, 5794, 5489, 16670, 1759, 693, 1215, 6577, 269, 898, 568, 1634, 602, 519, 681, 3199, 729, 1031, 607, 513, 2866, 6928, 585, 519, 2475, 12284, 538, 7041, 585, 873, 2921, 9562, 540, 519, 681, 4343, 563, 25811, 518, 5261, 4911, 619, 454, 19365, 8479, 4911, 639, 8678, 519, 5794, 338, 1222, 6796, 538, 476, 4489, 276, 543, 6039, 593, 1082, 1114, 2010, 540, 1875, 268, 3419, 1749, 269, 1261, 2663, 6039, 593, 519, 681, 3451, 543, 729, 593, 519, 681, 4097, 8184, 547, 519, 2475, 538, 476, 4489, 280, 269, 1261, 6039, 593, 519, 681, 3199, 543, 729, 12751, 23910, 593, 519, 681, 1911, 8184, 547, 4516, 563, 300, 4768, 823, 21238, 717, 1043, 1777, 729, 25561, 1670, 20229, 593, 519, 4693, 8184, 540, 519, 681, 3199, 269, 1261, 1185, 849, 5342, 4255, 593, 519, 681, 3607, 543, 681, 4343, 2011, 338, 4721, 269, 1261, 729, 849, 593, 519, 681, 1911, 8184, 547, 4516, 543, 1394, 538, 476, 4350, 271, 269, 19759, 569, 646, 4503, 1010, 1272, 538, 519, 681, 6200, 16154, 563, 25811, 518, 21081, 6807, 20242, 1206, 454, 294, 3757, 6807, 20242, 1206, 8678, 519, 5794, 338, 1222, 6796, 538, 5437, 476, 4489, 277, 269, 20023, 781, 9399, 274, 1299, 590, 4306, 476, 1691, 1299, 1866, 269, 14716, 543, 10760, 681, 3953, 267, 305, 4097, 267, 681, 3199, 543, 681, 3451, 607, 23910, 269, 681, 1911, 593, 476, 2537, 269, 1556, 269, 3066, 269, 681, 3451, 2736, 12537, 12284, 563, 25811, 518, 21238, 670, 770, 902, 729, 4535, 593, 476, 1626, 8734, 476, 5002, 271, 543, 8678, 519, 3028, 538, 476, 4489, 279, 7674, 593, 519, 681, 3451, 267, 681, 4343, 543, 681, 3199, 2011, 338, 4721, 269, 769, 476, 4572, 280, 646, 8678, 519, 681, 6200, 12284, 855, 8909, 569, 729, 7166, 519, 1739, 1032, 950, 602, 2011, 338, 1222, 1835, 14414, 563, 7343, 1370, 823, 25453, 1546, 3164, 961, 563, 6097, 547, 519, 681, 1911, 2046, 4967, 25453, 1546, 3164, 961, 729, 606, 22961, 823, 593, 519, 681, 3199, 269, 769, 8734, 476, 4572, 280, 646, 8678, 519, 681, 1911, 12284, 543, 729, 593, 602, 9635, 8184, 547, 27292, 563, 293, 2391, 20229, 670, 674, 24664, 563, 25938, 1640, 674, 2391, 20229, 15815, 582, 670, 269, 674, 269, 24664, 1185, 2178, 2011, 338, 1222, 22754, 2348, 6039, 593, 1875, 268, 3419, 1749, 2094, 476, 4489, 274, 269, 1261, 3576, 606, 3742, 9525, 538, 519, 4070, 540, 670, 7246, 476, 1839, 337, 543, 729, 851, 540, 519, 3811, 681, 4097, 2011, 338, 1222, 8184, 2066, 519, 9533, 1312, 2081, 538, 476, 4489, 280, 269, 1261, 849, 24363, 538, 519, 681, 3451, 543, 681, 3199, 269, 1261, 2663, 2968, 4779, 1681, 11464, 693, 1772, 21166, 807, 267, 5527, 607, 851, 540, 519, 2192, 1922, 730, 681, 6200, 10872, 269, 901, 4810, 11464, 2663, 8120, 547, 595, 8973, 2023, 543, 2968, 519, 1101, 19524, 540, 3143, 476, 272, 11831, 3019, 9751, 5149, 950, 519, 17241, 293, 3576, 936, 519, 2011, 338, 1222, 3135, 538, 476, 4350, 277, 454, 309, 1112, 528, 2696, 323, 731, 729, 513, 1762, 26010, 20017, 564, 538, 476, 4489, 271, 855, 676, 476, 4489, 276, 729, 513, 4628, 8036, 2011, 338, 1222, 12681, 269, 1261, 6039, 593, 1896, 1875, 268, 3419, 1749, 1282, 519, 2112, 543, 2663, 6039, 593, 2011, 338, 4721, 670, 7246, 476, 2537, 337, 267, 670, 7246, 476, 2190, 337, 543, 1287, 729, 606, 25129, 593, 1312, 519, 681, 4097, 543, 681, 3199, 2011, 338, 4721, 269, 1261, 2663, 4682, 593, 547, 723, 513, 13747, 4876, 538, 519, 17241, 293, 4742, 606, 5794, 21244, 543, 4607, 513, 5679, 662, 11856, 538, 476, 3707, 278, 269, 0, 25802, 1906, 540, 721, 15940, 10118, 2965, 917, 610, 29311, 602, 519, 9139, 540, 3127, 568, 2965, 606, 11609, 1686, 540, 3127, 269, 2060, 6243, 4303, 1175, 1472, 519, 7944, 267, 594, 2219, 267, 621, 1131, 581, 8799, 547, 1445, 593, 519, 3304, 9317, 3561, 602, 519, 11156, 568, 1107, 513, 1433, 602, 711, 1152, 568, 519, 2619, 2822, 518, 585, 519, 4182, 267, 855, 849, 513, 3308, 5312, 2401, 540, 938, 13299, 267, 1686, 267, 11585, 543, 2528, 563, 268, 1358, 2161, 596, 666, 9794, 513, 1433, 689, 922, 3382, 269, 634, 6946, 4154, 4806, 593, 519, 4395, 543, 1394, 3382, 540, 519, 9139, 540, 3127, 568, 22666, 689, 519, 4583, 31828, 9017, 9597, 1023, 563, 268, 634, 1101, 851, 540, 519, 11156, 6238, 609, 513, 2442, 1473, 639, 9503, 13021, 27360, 267, 519, 13032, 269, 634, 678, 10846, 540, 713, 18410, 25975, 14953, 13021, 568, 10578, 269, 634, 18410, 25975, 1532, 1638, 949, 3090, 1047, 519, 6205, 540, 519, 23636, 267, 4171, 4222, 543, 2205, 1006, 14014, 519, 23636, 543, 5849, 519, 605, 21551, 540, 519, 2249, 269, 1879, 20077, 538, 6149, 267, 519, 18410, 25975, 13032, 4564, 519, 1034, 3532, 28334, 610, 1283, 8387, 269, 1656, 609, 602, 13021, 540, 6392, 1281, 519, 11156, 1376, 563, 268, 3487, 4083, 540, 519, 11156, 9388, 609, 15114, 269, 901, 851, 568, 11617, 6719, 676, 3127, 779, 966, 14037, 6520, 538, 519, 1433, 269, 634, 966, 14037, 6520, 729, 513, 942, 950, 519, 10847, 540, 1268, 1881, 7060, 630, 288, 3913, 328, 267, 1473, 571, 267, 590, 1722, 320, 267, 3092, 4700, 729, 1455, 2259, 543, 972, 729, 15991, 1022, 7499, 14906, 819, 540, 891, 269, 4107, 10723, 12738, 543, 2853, 941, 1152, 1634, 547, 23347, 332, 753, 543, 19942, 1524, 30375, 547, 10453, 269, 4270, 267, 519, 11156, 2982, 602, 5736, 998, 513, 717, 584, 4157, 592, 610, 19555, 5146, 1153, 563, 268, 634, 851, 593, 27284, 7126, 630, 8512, 8633, 264, 814, 1044, 13269, 676, 606, 14745, 540, 681, 4821, 267, 700, 27232, 2006, 267, 590, 7534, 543, 519, 3487, 476, 275, 593, 6034, 1161, 540, 3557, 8889, 5956, 609, 519, 11599, 6429, 540, 1488, 329, 684, 543, 30730, 779, 6643, 1354, 519, 2112, 563, 268, 3487, 966, 540, 519, 11156, 9388, 609, 519, 9769, 267, 519, 10324, 267, 519, 7022, 543, 519, 13030, 7022, 269, 634, 3239, 540, 17700, 779, 21654, 568, 21378, 547, 519, 851, 593, 3652, 1644, 547, 519, 7022, 543, 13030, 7022, 269, 901, 729, 513, 942, 1141, 519, 2165, 2048, 523, 13874, 685, 1223, 849, 581, 6956, 607, 519, 31135, 540, 519, 1480, 5198, 689, 26454, 547, 9637, 269, 15020, 11029, 267, 855, 900, 874, 1738, 269, 1635, 519, 476, 279, 628, 2540, 267, 5289, 543, 10952, 25127, 1185, 4359, 1454, 2417, 267, 543, 941, 811, 918, 338, 1002, 686, 5984, 538, 741, 5169, 982, 23347, 2381, 269, 1924, 713, 729, 513, 1974, 540, 5458, 1689, 538, 2486, 269, 10067, 822, 4275, 18867, 2531, 7149, 519, 3817, 1310, 538, 3487, 17886, 563, 268, 634, 2871, 24473, 1974, 729, 519, 13642, 6520, 540, 3127, 1107, 519, 4999, 540, 13085, 7214, 543, 5289, 1646, 267, 849, 27537, 676, 1390, 1148, 543, 3332, 269, 634, 10367, 540, 31828, 9017, 267, 519, 5931, 540, 17833, 573, 14505, 267, 519, 6310, 21184, 540, 589, 787, 629, 1002, 3279, 1107, 941, 782, 851, 540, 519, 2871, 24473, 1974, 269, 2311, 602, 942, 267, 3127, 729, 7700, 547, 476, 1839, 260, 540, 519, 2622, 12654, 267, 543, 4371, 593, 547, 519, 1297, 835, 2990, 607, 606, 2804, 2706, 1379, 585, 1134, 936, 476, 272, 267, 1822, 1296, 269, 634, 2871, 24473, 4341, 28107, 3294, 538, 606, 11247, 8204, 519, 715, 531, 7701, 2160, 630, 652, 21521, 693, 602, 942, 264, 1141, 519, 954, 2719, 1782, 540, 4529, 729, 1455, 563, 268, 9147, 547, 7216, 19744, 1148, 568, 13269, 998, 513, 17021, 540, 1488, 329, 10044, 779, 6755, 766, 630, 5228, 10067, 629, 531, 760, 340, 1090, 264, 1107, 3487, 2473, 7656, 543, 513, 14844, 541, 24652, 932, 7637, 27705, 1107, 3487, 2473, 2862, 593, 1114, 3817, 269, 24090, 995, 1623, 321, 1108, 543, 606, 26080, 1184, 540, 5137, 269, 634, 932, 7637, 27705, 14844, 541, 24652, 729, 538, 1249, 2813, 607, 829, 519, 5528, 540, 519, 1744, 559, 335, 1744, 770, 6652, 630, 290, 2761, 15015, 1916, 268, 3487, 2473, 4353, 814, 513, 6429, 689, 13019, 8663, 779, 5480, 18995, 28753, 531, 4341, 630, 4385, 585, 21722, 1148, 543, 6189, 264, 799, 5555, 5012, 538, 3487, 2473, 309, 883, 519, 519, 3057, 24048, 543, 27566, 14906, 619, 540, 1744, 643, 1690, 328, 543, 29831, 717, 984, 785, 19453, 563, 268, 3487, 2473, 23997, 737, 6506, 1055, 519, 26841, 540, 634, 15213, 26647, 24327, 13269, 676, 513, 3126, 540, 5191, 25881, 4358, 609, 681, 8643, 700, 27232, 332, 756, 2967, 543, 17785, 340, 29001, 547, 19413, 779, 667, 663, 328, 4728, 543, 849, 3217, 883, 2272, 1010, 4663, 540, 3143, 12112, 8932, 607, 519, 1390, 4708, 20447, 269, 4427, 327, 1662, 932, 18588, 645, 846, 849, 814, 606, 11247, 6131, 547, 1864, 538, 519, 11156, 1107, 538, 1249, 519, 4182, 9976, 1010, 476, 10219, 628, 16683, 513, 1906, 2395, 3516, 563, 268, 1280, 20668, 30619, 547, 30619, 2862, 10207, 689, 519, 22615, 28569, 267, 519, 9390, 543, 519, 5836, 723, 1044, 1031, 538, 519, 3172, 636, 1566, 639, 563, 268, 634, 30951, 729, 2944, 593, 3817, 602, 941, 2016, 547, 581, 29600, 538, 519, 814, 6062, 685, 320, 630, 321, 7451, 264, 538, 519, 2757, 1259, 267, 607, 1031, 547, 581, 519, 2013, 609, 28753, 531, 543, 29001, 622, 22251, 269, 1703, 616, 1079, 2010, 540, 10665, 602, 723, 1044, 1031, 2429, 519, 12377, 269, 2755, 782, 3817, 723, 513, 2241, 267, 4154, 6741, 1188, 1194, 8473, 267, 930, 693, 519, 6679, 540, 513, 21480, 267, 543, 519, 2985, 1141, 1169, 8430, 7475, 267, 723, 513, 2034, 267, 6418, 8473, 540, 4154, 15022, 3512, 563, 763, 30951, 538, 519, 1433, 729, 2944, 676, 20031, 2142, 327, 926, 23902, 664, 14780, 714, 3385, 267, 1210, 513, 23649, 543, 562, 756, 630, 5591, 269, 476, 24062, 562, 756, 1040, 898, 729, 25139, 676, 715, 663, 531, 531, 645, 846, 267, 1634, 607, 519, 7376, 31444, 622, 540, 3127, 267, 543, 1010, 1053, 267, 689, 918, 8403, 645, 6409, 534, 630, 9743, 3482, 540, 20963, 8551, 1070, 6250, 341, 629, 9618, 10620, 2160, 267, 1519, 2142, 2129, 541, 10548, 2006, 2129, 541, 16429, 3873, 630, 920, 323, 1243, 267, 1851, 824, 3688, 267, 585, 519, 2776, 600, 1076, 2985, 1070, 20550, 534, 987, 13225, 1173, 6072, 630, 920, 323, 1243, 585, 519, 30118, 540, 3127, 1070, 918, 8692, 531, 19453, 2701, 16223, 1177, 520, 267, 589, 269, 3131, 636, 531, 267, 15550, 599, 752, 590, 643, 1090, 16549, 334, 10202, 543, 824, 5159, 267, 799, 3769, 645, 846, 781, 1614, 1453, 281, 645, 529, 8705, 1575, 645, 846, 630, 663, 1010, 7385, 715, 756, 539, 7534, 1070, 717, 4768, 328, 645, 7315, 10937, 630, 663, 1200, 8250, 267, 645, 8643, 4793, 601, 264, 543, 11918, 10044, 7354, 269, 2549, 8403, 645, 846, 267, 2663, 7385, 540, 9474, 303, 6828, 28579, 20855, 841, 531, 590, 1046, 541, 267, 808, 698, 323, 880, 14600, 2145, 2073, 14076, 333, 16951, 19453, 543, 667, 10921, 526, 571, 30730, 13891, 645, 1301, 534, 941, 849, 538, 519, 2319, 540, 3879, 21116, 269, 634, 12383, 941, 2944, 538, 6805, 2409, 267, 1210, 4154, 6122, 2378, 543, 6149, 4778, 269, 634, 2012, 540, 519, 1289, 580, 1905, 615, 568, 9896, 607, 20031, 693, 5377, 2451, 540, 519, 1257, 6885, 593, 1142, 2985, 282, 519, 2012, 540, 519, 3879, 15249, 568, 9896, 693, 5377, 2451, 540, 1142, 11609, 2985, 7406, 269, 24436, 616, 14384, 9896, 269, 634, 12377, 729, 2854, 593, 2890, 2041, 15033, 533, 1105, 618, 9212, 7893, 476, 3393, 269, 278, 4699, 6398 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3725, 1027, 532, 14779, 666, 581, 3361, 676, 513, 1297, 540, 2188, 267, 1519, 11976, 267, 4057, 5711, 9882, 267, 17678, 1932, 2182, 267, 543, 10733, 2068, 269, 717, 636, 2068, 568, 835, 540, 519, 1034, 269, 19759, 569, 267, 2899, 14779, 723, 973, 17660, 267, 789, 666, 1405, 1332, 1394, 269, 634, 1390, 3377, 568, 602, 513, 1434, 5711, 268, 1506, 8958, 6296, 666, 948, 2061, 2417, 10733, 21748, 543, 29379, 707, 269, 1280, 5634, 10733, 21748, 267, 707, 11290, 949, 991, 547, 2620, 2973, 519, 4299, 1858, 269, 901, 568, 849, 5219, 547, 607, 5694, 18440, 543, 3597, 4058, 269, 1358, 786, 5402, 269, 769, 519, 10782, 2665, 540, 973, 5338, 14779, 267, 596, 949, 581, 2016, 519, 4781, 540, 6391, 269, 589, 1166, 777, 6391, 949, 581, 2838, 952, 513, 2620, 7738, 568, 711, 6190, 269, 769, 713, 269, 1703, 616, 1896, 3123, 540, 513, 973, 5338, 10733, 1899, 267, 855, 519, 1034, 1455, 568, 10733, 2068, 4547, 593, 676, 15799, 543, 25188, 541, 693, 519, 10733, 1899, 269, 8617, 17678, 543, 563, 288, 10733, 21910, 949, 581, 2111, 547, 13148, 610, 1256, 4628, 7816, 519, 3441, 547, 519, 10733, 543, 5642, 3361, 676, 10733, 21748, 2073, 849, 1634, 607, 973, 5338, 14779, 267, 568, 513, 269, 1879, 973, 5338, 14779, 616, 9575, 2038, 267, 1585, 1875, 1606, 17790, 2126, 3681, 616, 2139, 269, 23207, 707, 5711, 1416, 6296, 676, 1210, 1697, 17678, 543, 269, 634, 1114, 2126, 3681, 585, 973, 5338, 14779, 1331, 18440, 543, 3597, 4058, 602, 7189, 1685, 538, 519, 2038, 5933, 269, 25095, 7821, 786, 1419, 1205, 7759, 540, 269, 1403, 596, 723, 4810, 973, 5338, 14779, 267, 707, 11290, 949, 723, 5227, 6391, 547, 4368, 519, 1966, 269, 1717, 267, 1354, 596, 3858, 547, 6391, 3361, 676, 10733, 269, 1234, 1027, 532, 14779, 723, 1082, 2009, 3123, 269, 11270, 7267, 2068, 267, 610, 606, 3968, 540, 519, 14779, 267, 3123, 10733, 8031, 547, 14016, 622, 267, 5555, 849, 9714, 532, 519, 5642, 269, 1403, 596, 1589, 707, 14779, 616, 973, 5338, 267, 1118, 606, 13393, 609, 707, 11290, 269, 1703, 616, 5574, 602, 666, 7816, 519, 14779, 543, 2061, 2417, 3441, 269, 634, 269, 4469, 777, 6391, 4368, 525, 10733, 2068, 676, 17666, 909, 519, 14779, 547, 1569, 543, 4894, 519, 4551, 543, 25188, 541, 19221, 602, 729, 711, 3015, 3842, 519, 4336, 543, 3597, 269, 1215, 1677, 674, 1460, 717, 636, 1234, 20896, 5788, 4045, 633, 2389, 22568, 21910, 338, 1107, 713, 568, 835, 540, 519, 1034, 1455, 2409, 543, 568, 1031, 547, 1521, 3597, 4598, 269, 5788, 5131, 31470, 2526, 21910, 338, 1107, 568, 1419, 269, 634, 2468, 334, 540, 1697, 17678, 540, 4522, 267, 29781, 543, 1210, 5023, 11547, 949, 3100, 24735, 267, 855, 891, 666, 711, 1152, 2061, 10733, 21748, 267, 855, 849, 1683, 606, 563, 302, 559, 29553, 532, 585, 29726, 543, 717, 4548, 267, 1234, 1027, 532, 717, 4548, 9615, 267, 7849, 12708, 744, 2812, 29392, 29766, 14173, 267, 1234, 27896, 622, 2659, 717, 4548, 609, 661, 848, 630, 273, 623, 14369, 264, 5788, 9791, 5029, 1460, 1234, 1027, 532, 269, 634, 2757, 1505, 540, 8156, 10733, 21748, 568, 998, 513, 10733, 21910, 267, 799, 14122, 20033, 5160, 1373, 19122, 689, 1776, 1858, 540, 519, 5023, 1765, 17141, 519, 269, 1403, 596, 723, 513, 7646, 10733, 21748, 267, 519, 16595, 1259, 547, 12115, 873, 568, 676, 5883, 707, 5711, 1072, 543, 2921, 22521, 11216, 269, 13689, 593, 519, 2783, 540, 269, 4414, 17514, 585, 973, 5338, 14779, 5788, 28563, 5338, 1310, 17678, 610, 29781, 5788, 4414, 267, 22224, 14779, 5788, 14068, 7362, 5788, 10266, 693, 519, 10733, 1899, 5788, 11576, 6638, 3361, 676, 6534, 4522, 5072, 269, 634, 2757, 1505, 585, 8156, 31470, 2526, 21748, 568, 2571, 2389, 22568, 21910, 532, 269, 717, 2761, 532, 568, 513, 10551, 5650, 538, 799, 513, 1974, 2632, 626, 18788, 2635, 10733, 269, 13689, 593, 519, 1826, 543, 10335, 540, 519, 21748, 543, 519, 2157, 540, 5642, 1472, 519, 4522, 267, 10733, 21748, 666, 581, 1036, 10273, 730, 609, 1007, 10733, 5160, 1210, 513, 269, 10261, 1344, 593, 875, 547, 4368, 973, 5338, 14779, 286, 634, 18237, 23346, 17889, 26435, 630, 303, 4306, 264, 568, 513, 30194, 12362, 543, 2413, 4480, 1031, 547, 4368, 10733, 21748, 269, 634, 18237, 23346, 13880, 673, 26435, 568, 513, 1505, 585, 8156, 973, 5338, 14779, 267, 799, 729, 2919, 676, 3220, 269, 3627, 932, 7776, 269, 9521, 2757, 2126, 585, 973, 5338, 14779, 269, 968, 763, 3044, 2126, 585, 973, 5338, 14779, 568, 10733, 21910, 532, 6391, 267, 513, 11213, 543, 12362, 5650, 538, 799, 513, 3296, 540, 10733, 5160, 1590, 581, 2759, 856, 540, 519, 563, 763, 1034, 2487, 1646, 538, 10733, 21910, 532, 585, 973, 5338, 14779, 568, 519, 18237, 23346, 13880, 673, 26435, 269, 3220, 269, 26673, 787, 568, 8036, 538, 713, 1007, 4480, 269, 2060, 519, 8930, 23346, 269, 2052, 973, 5338, 14779, 581, 30465, 1510, 6391, 286, 8786, 256, 18237, 23346, 717, 636, 1234, 27896, 566, 568, 513, 1875, 1606, 17790, 1505, 585, 8156, 10733, 21748, 269, 901, 2126, 3322, 269, 1403, 596, 723, 513, 1360, 1713, 10733, 21748, 267, 519, 1655, 2126, 568, 2356, 513, 10733, 21910, 269, 2755, 707, 14779, 4465, 1405, 1332, 1394, 593, 741, 1378, 267, 10551, 2126, 666, 581, 269, 1234, 1027, 532, 14779, 8930, 23346, 12814, 5650, 568, 606, 2500, 4244, 547, 6671, 267, 11213, 1765, 326, 2761, 532, 6391, 269, 1215, 3978, 568, 10733, 21748, 286, 634, 3597, 540, 513, 5694, 269, 1703, 616, 1896, 3123, 540, 513, 973, 5338, 10733, 1899, 267, 855, 519, 1034, 1455, 568, 10733, 2068, 4547, 593, 676, 15799, 543, 25188, 541, 693, 519, 10733, 1899, 269, 8617, 17678, 543, 563, 1692, 798, 1974, 2632, 1235, 4368, 973, 5338, 14779, 286, 0, 3963, 1684, 594, 5620, 14068, 22165, 327, 888, 289, 611, 7362, 666, 1267, 538, 1082, 1919, 269, 14068, 7362, 568, 3361, 950, 1426, 5536, 2611, 538, 519, 5023, 2394, 789, 616, 7745, 1524, 269, 901, 568, 1018, 3123, 7362, 547, 723, 606, 18473, 17627, 269, 898, 666, 849, 14229, 752, 909, 950, 649, 2547, 2503, 269, 3371, 616, 930, 1919, 547, 3314, 950, 596, 723, 3983, 1159, 2454, 7362, 563, 289, 611, 7362, 568, 6923, 15658, 1042, 676, 19975, 454, 289, 611, 7362, 568, 15286, 676, 19975, 269, 6428, 10216, 568, 3812, 547, 11547, 2476, 1426, 5536, 2429, 519, 1554, 269, 634, 2179, 540, 19975, 3812, 693, 3781, 11081, 269, 1306, 513, 1267, 267, 707, 5023, 3587, 3819, 543, 811, 11630, 547, 4551, 602, 666, 2014, 3983, 7362, 269, 1403, 596, 723, 12225, 1227, 3819, 5023, 267, 2119, 21400, 4006, 6954, 10733, 610, 17711, 547, 12954, 519, 2892, 643, 776, 15374, 563, 2005, 568, 849, 1271, 602, 596, 4235, 7899, 540, 1216, 269, 25530, 2614, 1216, 666, 1832, 707, 19975, 13576, 543, 2061, 4551, 5250, 269, 5696, 5241, 707, 4522, 585, 476, 273, 3764, 1310, 1142, 7594, 666, 948, 1832, 707, 7362, 4195, 269, 17491, 6954, 10733, 666, 2333, 19975, 2095, 543, 2061, 15799, 5250, 269, 1403, 596, 2461, 8572, 547, 3132, 2614, 19975, 267, 5841, 19975, 31431, 666, 581, 1031, 269, 14068, 7362, 666, 849, 581, 3361, 676, 3536, 543, 10425, 971, 607, 13342, 543, 22323, 269, 4033, 1455, 27521, 338, 1331, 25970, 3536, 267, 6995, 267, 543, 3165, 269, 14068, 7362, 666, 849, 581, 6569, 609, 5023, 31683, 563, 30509, 689, 21400, 4006, 6954, 10733, 267, 1776, 2500, 2067, 15658, 1370, 547, 3983, 7362, 568, 4189, 3536, 602, 2270, 533, 24514, 269, 623, 24514, 538, 13212, 543, 15090, 2337, 547, 25559, 519, 17627, 27351, 6748, 4551, 269, 623, 24514, 568, 849, 1336, 538, 6151, 13767, 2044, 267, 11350, 18717, 543, 17436, 563, 307, 805, 906, 547, 16199, 527, 2670, 454, 289, 611, 7362, 568, 1945, 596, 1058, 2232, 269, 1703, 616, 1082, 2188, 602, 666, 2014, 3983, 7362, 269, 1452, 1331, 5817, 2564, 2175, 267, 6646, 267, 543, 1256, 8192, 9360, 269, 1280, 1383, 267, 3987, 949, 2014, 3983, 7362, 269, 769, 713, 2013, 267, 513, 2732, 1689, 949, 581, 2556, 547, 1852, 1973, 4006, 2157, 269, 4033, 3123, 949, 2154, 6646, 610, 11216, 269, 2659, 11290, 786, 948, 596, 6430, 799, 2126, 568, 1655, 585, 596, 563, 5575, 267, 1294, 707, 11290, 585, 606, 6514, 269, 2659, 11290, 666, 13209, 519, 3597, 2014, 540, 3983, 7362, 267, 543, 4363, 519, 1655, 2126, 269, 1411, 666, 849, 2119, 6704, 1216, 547, 1832, 707, 5023, 19872, 269, 901, 786, 2333, 19975, 2504, 269, 898, 568, 849, 1434, 585, 7738, 856, 1426, 5536, 269, 898, 568, 1271, 547, 2057, 25970, 3536, 267, 19637, 543, 13342, 269, 2659, 11290, 666, 849, 948, 596, 2697, 3983, 1426, 6208, 602, 616, 7700, 547, 3983, 7362, 563, 1103, 2489, 267, 3983, 7362, 666, 581, 3361, 676, 4057, 5711, 9882, 610, 676, 7296, 269, 18648, 5711, 9882, 666, 1291, 513, 4473, 538, 4551, 267, 799, 666, 3132, 28067, 23337, 2454, 2472, 269, 14068, 7362, 666, 849, 1267, 689, 4057, 5711, 9882, 269, 18648, 5959, 9882, 666, 849, 1291, 596, 547, 10300, 527, 2670, 269, 634, 3597, 2014, 540, 10300, 527, 2670, 786, 3313, 519, 1655, 2126, 269, 6884, 267, 621, 779, 607, 2653, 607, 4657, 707, 2732, 267, 17678, 707, 4522, 267, 610, 29655, 7296, 269, 1403, 891, 3800, 1810, 1406, 960, 267, 621, 949, 581, 942, 547, 3343, 2564, 2126, 563, 763, 1034, 1271, 3364, 547, 798, 950, 8156, 10300, 527, 2670, 267, 568, 547, 2697, 519, 1966, 543, 2232, 621, 607, 4166, 513, 2009, 269, 1411, 666, 1287, 2253, 547, 1491, 3268, 971, 607, 17678, 707, 4522, 267, 1210, 5023, 31683, 267, 610, 7738, 707, 11469, 269, 1717, 267, 811, 4359, 3029, 540, 2126, 2154, 519, 948, 540, 513, 11290, 563, 289, 611, 7362, 5540, 476, 3445, 2929, 1004, 5001, 269, 14068, 5711, 9882, 666, 1291, 547, 4551, 543, 11935, 538, 707, 5023, 602, 1287, 7472, 28067, 23337, 2454, 19979, 16247, 7135, 269, 634, 1966, 786, 711, 581, 12193, 676, 21400, 10733, 610, 544, 6493, 563, 21618, 540, 10300, 527, 2670, 454, 2005, 568, 1271, 547, 3343, 513, 5868, 952, 596, 616, 7092, 689, 10300, 527, 2670, 269, 589, 11290, 786, 581, 2111, 547, 3313, 519, 2014, 1759, 593, 707, 5711, 6514, 543, 707, 1686, 269, 2659, 11290, 786, 849, 2638, 585, 5563, 543, 16290, 1426, 269, 589, 11290, 666, 849, 948, 596, 547, 3313, 519, 1655, 2126, 585, 707, 10300, 527, 2670, 563, 2467, 616, 1082, 3123, 540, 10300, 527, 2670, 269, 1452, 1331, 25012, 4713, 267, 6527, 267, 543, 22104, 1670, 2175, 269, 898, 666, 849, 581, 3361, 676, 1978, 3536, 610, 10425, 267, 971, 607, 10269, 2472, 267, 4568, 267, 543, 14546, 269, 4635, 513, 5023, 31683, 5627, 21973, 786, 948, 547, 9004, 10300, 527, 2670, 563, 763, 1034, 6654, 10835, 568, 10300, 527, 2670, 269, 898, 666, 8915, 607, 513, 28067, 23337, 2454, 7362, 602, 666, 581, 18476, 676, 1866, 269, 634, 1034, 1455, 2014, 540, 10300, 527, 2670, 568, 4057, 5711, 9882, 267, 799, 5012, 547, 519, 19221, 540, 5739, 4551, 538, 519, 5023, 269, 901, 666, 1291, 824, 1072, 2042, 267, 971, 607, 10733, 2068, 543, 19659, 563, 306, 329, 690, 1066, 779, 6794, 267, 799, 3123, 4887, 1928, 267, 3819, 4552, 267, 543, 3819, 4064, 267, 568, 1776, 2009, 2014, 269, 769, 4049, 2665, 267, 10300, 527, 2670, 1223, 581, 513, 1129, 602, 972, 568, 10733, 2068, 610, 1776, 2564, 2783, 269, 1403, 621, 779, 513, 10770, 1966, 267, 513, 1974, 2632, 626, 949, 4363, 513, 27731, 5650, 547, 2232, 519, 1966, 563, 303, 3233, 5711, 9882, 267, 7296, 267, 10733, 2068, 543, 10733, 2068, 666, 782, 3565, 547, 10300, 527, 2670, 269, 1280, 606, 6268, 540, 10300, 527, 2670, 267, 2550, 1058, 3643, 741, 11290, 269, 1703, 616, 1082, 6527, 2139, 547, 1521, 519, 1966, 269, 634, 2014, 540, 707, 10300, 527, 2670, 786, 3313, 799, 6646, 596, 3442, 563, 2791, 666, 2061, 610, 9004, 10300, 527, 2670, 676, 2921, 1416, 547, 707, 5711, 9882, 543, 2732, 269, 589, 11290, 666, 21559, 513, 2126, 952, 3983, 7362, 568, 1813, 547, 10733, 2068, 269, 589, 5023, 31683, 949, 849, 581, 5363, 563, 763, 1034, 1271, 1900, 538, 8156, 10300, 527, 2670, 568, 547, 2697, 922, 2014, 269, 898, 779, 1271, 547, 1265, 856, 1018, 779, 4929, 707, 10300, 527, 2670, 1317, 519, 10826, 585, 10300, 527, 2670, 12346, 593, 6616, 519, 2014, 269, 0, 2710, 594, 26419, 10261 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 454, 1721, 4155, 960, 941, 6994, 2213, 538, 519, 2136, 2276, 543, 5800, 334, 22656, 607, 1134, 607, 12725, 269, 5565, 610, 1614, 1977, 25255, 4682, 936, 519, 2666, 855, 1152, 835, 19915, 1185, 1044, 1500, 676, 4989, 267, 476, 4489, 279, 267, 543, 519, 3902, 11643, 729, 865, 1164, 602, 621, 729, 5612, 15653, 563, 3849, 332, 12637, 12928, 1952, 20617, 4956, 711, 547, 3801, 4070, 593, 513, 834, 322, 739, 7132, 257, 4493, 269, 769, 476, 4489, 279, 1079, 1977, 25255, 11643, 513, 10257, 19915, 585, 1405, 515, 4070, 540, 15823, 12919, 540, 519, 4155, 1063, 22757, 595, 2077, 328, 543, 16114, 328, 6210, 267, 519, 1964, 2348, 2907, 1044, 9788, 269, 901, 19915, 729, 7608, 543, 519, 960, 2944, 269, 769, 4864, 267, 476, 4489, 279, 267, 519, 4972, 540, 5398, 3718, 729, 10288, 547, 1376, 1776, 4155, 269, 634, 2243, 540, 4074, 1631, 21256, 269, 634, 18067, 15092, 1185, 10353, 519, 4367, 540, 20951, 2103, 585, 4155, 2679, 543, 1185, 1044, 6462, 676, 12928, 1952, 269, 1809, 824, 4074, 729, 711, 2139, 538, 6190, 2338, 269, 31288, 16176, 6577, 2968, 4108, 17294, 538, 4728, 267, 476, 4572, 271, 267, 543, 16172, 27502, 5795, 1010, 9844, 547, 519, 1104, 566, 540, 20951, 2103, 269, 1635, 5239, 267, 476, 4572, 271, 267, 6190, 8030, 1185, 1044, 1336, 543, 2614, 4074, 17956, 267, 1927, 609, 2556, 12227, 267, 547, 1711, 519, 3661, 602, 519, 1292, 1982, 540, 9897, 1223, 581, 6192, 676, 2904, 267, 476, 4572, 272, 269, 769, 5130, 267, 476, 4572, 272, 267, 19962, 547, 269, 519, 5821, 547, 5150, 519, 10211, 1657, 5018, 267, 621, 729, 2556, 547, 11166, 476, 3445, 829, 1298, 540, 519, 8030, 543, 782, 540, 519, 31356, 543, 3247, 960, 7357, 269, 1703, 729, 1100, 759, 18870, 540, 519, 960, 2394, 5147, 476, 272, 267, 476, 4572, 272, 267, 950, 851, 540, 519, 1269, 273, 267, 4335, 267, 1822, 10211, 2968, 2139, 269, 634, 1507, 2040, 693, 519, 12871, 540, 519, 4972, 786, 5512, 621, 547, 9096, 519, 1292, 4155, 1310, 513, 6752, 267, 855, 602, 568, 782, 269, 7843, 1602, 541, 268, 11308, 13123, 8370, 3952, 2647, 936, 930, 8731, 1370, 658, 12535, 1590, 581, 2451, 3079, 540, 519, 8628, 6405, 3889, 9709, 269, 634, 2199, 8387, 3112, 581, 30199, 585, 519, 5821, 540, 519, 3312, 1982, 269, 27661, 5804, 1082, 1796, 9557, 713, 4155, 2679, 814, 1044, 519, 1034, 1271, 3364, 17298, 676, 519, 4892, 267, 811, 1271, 538, 1250, 1378, 6644, 982, 519, 2679, 540, 1153, 17346, 267, 543, 649, 616, 1818, 513, 1390, 12161, 538, 711, 18138, 519, 2816, 269, 2290, 29401, 1767, 547, 803, 281, 834, 2791, 616, 1818, 513, 3978, 1025, 8974, 676, 17528, 547, 9886, 519, 3003, 2040, 2877, 547, 2347, 8628, 9897, 269, 634, 14761, 1131, 875, 331, 543, 519, 1004, 1989, 18443, 693, 1101, 855, 519, 9897, 1131, 581, 865, 3407, 602, 538, 513, 1906, 1296, 519, 1942, 1131, 581, 513, 5634, 2339, 543, 519, 1004, 1131, 581, 18507, 547, 596, 585, 6028, 513, 2497, 789, 1223, 711, 4126, 547, 1711, 585, 2933, 1701, 769, 835, 2146, 950, 519, 960, 11074, 267, 519, 4961, 10356, 1927, 543, 1705, 513, 1390, 4308, 540, 960, 547, 2322, 519, 4155, 538, 26729, 2783, 269, 8307, 835, 945, 814, 8854, 936, 519, 2197, 666, 5660, 2901, 519, 262, 991, 610, 519, 7965, 11402, 269, 594, 25442, 569, 4126, 602, 930, 3070, 949, 581, 1336, 269, 2334, 519, 18067, 15092, 5660, 519, 9897, 568, 23576, 676, 519, 1297, 540, 26873, 789, 723, 12349, 538, 2487, 1296, 269, 8617, 1668, 3515, 2196, 547, 782, 3015, 10034, 827, 16114, 328, 6210, 543, 519, 13317, 563, 331, 2662, 541, 1407, 269, 589, 1412, 2908, 6405, 627, 541, 325, 609, 606, 7850, 23999, 814, 1044, 3710, 693, 17896, 1773, 1092, 13868, 606, 28971, 11308, 22815, 19497, 1031, 269, 634, 627, 541, 325, 693, 16114, 334, 667, 4040, 334, 814, 1044, 1454, 23762, 543, 513, 5386, 2688, 2777, 3710, 269, 2311, 5842, 31883, 632, 910, 21547, 528, 529, 513, 6405, 627, 541, 325, 568, 896, 4070, 547, 5372, 606, 2025, 11308, 2497, 269, 634, 627, 541, 325, 693, 4446, 1695, 7431, 814, 1044, 23762, 563, 8070, 531, 4419, 27364, 269, 769, 2025, 523, 2395, 621, 3576, 689, 4557, 547, 27552, 2395, 547, 1205, 13875, 2066, 519, 2197, 269, 901, 3028, 814, 1044, 7494, 4824, 543, 786, 581, 2417, 11880, 1243, 950, 519, 9897, 616, 6192, 269, 634, 3113, 593, 2985, 476, 7277, 786, 1397, 519, 4434, 562, 328, 262, 1228, 538, 519, 2063, 454, 15578, 4888, 2793, 11862, 5508, 5990, 7537, 2207, 10157, 3198, 8028, 4696, 4932, 312, 454, 20204, 269, 634, 10865, 15088, 616, 3592, 28025, 1813, 547, 4365, 2175, 563, 1103, 11047, 1276, 607, 621, 568, 7543, 547, 979, 2417, 883, 519, 3877, 540, 519, 960, 12913, 621, 949, 581, 4843, 538, 13354, 1106, 676, 519, 17250, 593, 2985, 476, 6977, 7677, 1639, 676, 519, 4972, 540, 5398, 3718, 563, 2005, 568, 5693, 7543, 1256, 547, 3801, 547, 17250, 782, 519, 2238, 540, 519, 1977, 8387, 538, 28720, 519, 2229, 269, 594, 723, 15991, 5018, 267, 585, 3236, 267, 519, 1857, 1072, 960, 269, 594, 666, 1152, 17412, 676, 6031, 602, 621, 814, 1044, 519, 20089, 547, 3715, 971, 3292, 607, 649, 723, 1336, 2556, 538, 938, 1378, 2197, 269, 6969, 12394, 1022, 2489, 7447, 540, 891, 8942, 621, 568, 2556, 547, 2015, 13713, 835, 610, 1079, 824, 6927, 563, 307, 332, 299, 11555, 12702, 7644, 3633, 11123, 631, 6993, 295, 16692, 4353, 2207, 332, 454, 290, 839, 11208, 540, 519, 4964, 269, 769, 606, 1931, 9783, 5437, 476, 3066, 267, 476, 4489, 277, 267, 621, 729, 3526, 539, 602, 1022, 6085, 593, 519, 10182, 540, 519, 2136, 2276, 610, 609, 4704, 547, 519, 20431, 566, 1590, 581, 9516, 538, 4434, 540, 8313, 267, 543, 519, 8313, 540, 782, 10795, 610, 12982, 4930, 610, 1346, 5646, 18522, 29383, 610, 4187, 547, 519, 631, 2993, 3202, 6554, 941, 19275, 269, 1703, 814, 454, 6866, 1044, 5191, 540, 519, 2046, 538, 519, 29401, 6243, 607, 649, 1174, 519, 2165, 267, 543, 519, 1931, 729, 8969, 1652, 267, 2556, 269, 2433, 21132, 11056, 267, 2705, 267, 543, 930, 540, 519, 5220, 13684, 585, 18670, 3361, 1454, 4743, 269, 595, 839, 11208, 568, 25864, 2901, 8797, 610, 3608, 543, 4440, 1082, 1025, 1495, 619, 941, 1500, 269, 634, 1187, 333, 5006, 1650, 267, 585, 4171, 5168, 594, 3112, 642, 13224, 267, 855, 799, 729, 5143, 803, 676, 606, 13473, 1977, 267, 10443, 454, 307, 5336, 2177, 337, 15288, 10911, 3041, 2316, 1677, 14408, 268, 549, 1684, 16039, 7776, 454, 263, 349, 659, 333, 3444, 1899, 4564, 1079, 562, 2293, 994, 268, 674, 14166, 1032, 476, 4489, 280, 268, 736, 269, 19105, 942, 476, 274, 2395, 476, 2420, 536, 2293, 563, 293, 14166, 1032, 476, 4572, 271, 268, 2641, 269, 1547, 257, 1547, 324, 265, 27029, 14888, 3918, 290, 5746, 277, 301, 717, 2894, 2207, 3201, 16692, 744, 16576, 3008, 29706, 13993, 2975, 3008, 454, 288, 19766, 2752, 3041, 2177, 5508, 8025, 20911, 20796, 298, 667, 24535, 667, 312, 570, 331, 292, 667, 7968, 293, 269, 5508, 29706, 13993, 2975, 654, 8008, 16775, 454, 291, 7838, 5058, 5990, 570, 681, 7417, 6730, 24535, 670, 3201, 293, 962, 292, 2752, 25783, 296, 7495, 623, 2252, 4488, 292, 667, 5058, 15578, 631, 6579, 3951, 14473, 744, 6717, 308, 5183, 3582, 454, 310, 18952, 5990, 8946, 12767, 6730, 21450, 670, 3201, 293, 962, 292, 2752, 25783, 296, 7495, 674, 5357, 299, 8582, 5058, 7055, 310, 7417, 2073, 10933, 2608, 288, 302, 1889, 7246, 349, 335, 270, 275, 5404, 281, 270, 280, 332, 476, 277, 594, 513, 296, 1412, 337, 2710, 301, 342, 1315, 309, 578, 12011, 476, 280, 270, 15704, 288, 30819, 296, 280, 27770, 454, 290, 2752, 303, 270, 261, 341, 286, 4469, 270, 2177, 337, 2107, 293, 589, 312, 674, 28926, 305, 744, 4696, 306, 476, 277, 5183, 5442, 302, 1315, 5881, 262, 533, 271, 267, 270, 10680, 589, 3722, 4696, 4456, 10396, 18161, 4696, 306, 595, 5183, 309, 337, 299, 2672, 25773, 286, 3722, 595, 310, 337, 302, 302, 4696, 306, 454, 4306, 292, 313, 645, 335, 305, 22230, 294, 2464, 1315, 309, 272, 302, 7495, 309, 645, 275, 22230, 294, 2464, 454, 11152, 299, 678, 269, 594, 476, 278, 512, 1315, 273, 454, 5379, 280, 267, 808, 9625, 262, 309, 6921, 818, 325, 269, 476, 9818, 742, 454, 288, 269, 275, 268, 270, 288, 262, 335, 476, 277, 267, 275, 268, 270, 10001, 268, 595, 2260, 341, 12569, 570, 4263, 296, 772, 261, 5425, 454, 288, 328, 299, 1421, 476, 275, 269, 2073, 2320, 910, 331, 595, 277, 310, 290, 278, 349, 23140, 535, 328, 288, 12717, 9590, 12788, 13045, 5570, 734, 2558, 1299, 23383, 576, 320, 454, 19203, 4534, 476, 2411, 910, 349, 28612, 19203, 9625, 268, 349, 9339, 454, 15578, 4888, 2793, 11862, 5508, 5990, 7537, 2207, 2975, 3198, 8028, 4696, 4932, 312, 454, 553, 5205, 281, 634, 524, 16428, 1185, 5293, 606, 2376, 538, 799, 729, 4330, 519, 12157, 9917, 341, 626, 3350, 538, 6576, 267, 543, 729, 1572, 547, 2272, 676, 513, 2362, 4013, 269, 30272, 646, 4607, 606, 2376, 9896, 676, 519, 1482, 5856, 543, 15653, 621, 693, 2899, 268, 24392, 621, 5949, 547, 581, 606, 2376, 593, 519, 4414, 9061, 2854, 676, 7662, 563, 763, 2025, 29401, 1876, 6444, 1079, 2010, 910, 1993, 18086, 6898, 281, 834, 323, 604, 600, 30685, 2437, 519, 14336, 566, 540, 606, 957, 7133, 519, 8956, 610, 10639, 540, 606, 1367, 267, 543, 834, 514, 329, 22202, 2437, 606, 18086, 3948, 711, 791, 5024, 513, 1808, 957, 269, 634, 15163, 585, 834, 323, 604, 600, 30685, 257, 1996, 519, 11347, 540, 513, 4914, 2197, 729, 19439, 762, 676, 26646, 689, 5216, 2395, 547, 1614, 3275, 543, 513, 5386, 540, 689, 1269, 276, 547, 1269, 1015, 269, 634, 17404, 729, 711, 2047, 3743, 952, 519, 1055, 2056, 2376, 729, 9896, 676, 1776, 269, 834, 1103, 329, 22202, 257, 729, 513, 2241, 7128, 5480, 2339, 609, 513, 5386, 540, 835, 26240, 334, 630, 1839, 322, 1040, 2991, 519, 8851, 540, 519, 24890, 621, 729, 2556, 267, 952, 1022, 4027, 941, 547, 581, 2016, 267, 547, 1689, 713, 1876, 543, 865, 10324, 9753, 3143, 269, 476, 6872, 324, 543, 3143, 269, 476, 6872, 274, 941, 9783, 5412, 476, 277, 267, 476, 4572, 271, 269, 634, 1101, 540, 891, 630, 306, 539, 819, 4521, 264, 19275, 519, 8313, 540, 630, 320, 264, 1022, 2376, 14957, 610, 21108, 606, 8944, 610, 12157, 9917, 341, 1143, 282, 630, 321, 264, 1022, 11556, 547, 24057, 992, 676, 3196, 519, 4108, 344, 6554, 267, 610, 4187, 547, 922, 4031, 543, 3656, 9753, 282, 630, 322, 264, 1022, 9880, 540, 519, 13639, 6554, 267, 540, 519, 2136, 2276, 267, 922, 13222, 3540, 610, 4108, 267, 538, 971, 1106, 607, 8612, 606, 9837, 547, 28596, 4524, 610, 27693, 267, 543, 630, 323, 264, 1022, 4901, 540, 2175, 538, 519, 29401, 6243, 4172, 3481, 538, 1893, 799, 2982, 606, 9837, 547, 28596, 4524, 610, 27693, 269, 634, 2034, 1876, 630, 306, 1633, 518, 264, 3177, 10751, 585, 519, 5391, 601, 610, 521, 1633, 518, 540, 3540, 610, 4108, 13222, 540, 519, 2136, 2276, 610, 2147, 12326, 1996, 519, 2229, 3294, 269, 32276, 1996, 606, 1367, 267, 952, 3020, 267, 616, 454, 928, 2416, 521, 1633, 518, 6862, 5391, 601, 269, 898, 568, 2352, 547, 1265, 1175, 9880, 540, 891, 4031, 855, 789, 941, 18374, 4735, 4705, 585, 4128, 7164, 547, 803, 676, 10324, 1931, 3143, 269, 476, 6795, 272, 9783, 2038, 538, 476, 4572, 272, 267, 799, 18374, 3908, 3294, 547, 519, 29611, 540, 834, 4777, 551, 21218, 540, 606, 8944, 257, 610, 834, 4777, 551, 21218, 543, 2853, 14669, 547, 1857, 26069, 607, 6956, 676, 782, 3540, 1242, 6082, 4799, 2005, 4667, 547, 581, 3020, 602, 519, 2199, 8387, 1223, 711, 1293, 593, 519, 25380, 540, 6115, 543, 602, 789, 941, 27209, 676, 519, 1082, 10941, 1023, 540, 2357, 18743, 338, 269, 898, 568, 1634, 602, 18067, 15092, 538, 6115, 5206, 1753, 602, 519, 4574, 1223, 2161, 1018, 789, 8359, 543, 1223, 18374, 14902, 693, 519, 13639, 6554, 269, 7102, 6011, 267, 2038, 538, 476, 4572, 272, 519, 29401, 4574, 2968, 711, 1152, 1863, 538, 741, 4901, 540, 2199, 2175, 855, 4904, 609, 10795, 267, 29880, 543, 29405, 532, 8292, 609, 4704 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 272, 267, 476, 1001, 275, 454, 5226, 714, 543, 2626, 28135, 3436, 11417, 11767, 2626, 1934, 912, 270, 476, 736, 31665, 454, 763, 7688, 568, 17328, 4310, 269, 1411, 723, 454, 1607, 20054, 610, 11224, 454, 260, 540, 1449, 512, 5474, 454, 10193, 20639, 476, 1911, 14999, 763, 3328, 6060, 568, 454, 7312, 1164, 6060, 568, 454, 7312, 16595, 942, 568, 454, 3467, 28135, 3436, 11417, 16605, 29957, 1524, 585, 4267, 543, 811, 28135, 4429, 763, 7187, 2865, 1533, 538, 519, 18626, 2475, 568, 13322, 318, 563, 289, 4428, 14900, 267, 12924, 267, 543, 24729, 539, 334, 267, 27846, 267, 616, 1312, 4092, 593, 519, 5032, 540, 799, 10720, 888, 4263, 476, 10436, 7397, 2630, 4262, 1377, 267, 519, 9803, 1448, 538, 519, 2136, 2276, 568, 538, 21718, 30269, 563, 1103, 476, 5197, 274, 267, 519, 2475, 11751, 5111, 476, 276, 3066, 267, 280, 736, 267, 1822, 14143, 540, 3345, 3013, 689, 5333, 269, 901, 11834, 568, 1634, 607, 519, 13322, 13322, 563, 1692, 1082, 1699, 2475, 2829, 1331, 2244, 689, 713, 11834, 888, 7617, 2475, 1533, 568, 536, 23912, 676, 14967, 267, 17906, 267, 11908, 267, 543, 8419, 888, 1103, 519, 3148, 781, 5065, 918, 1195, 4157, 517, 19158, 629, 2532, 534, 1893, 267, 14522, 781, 6778, 21025, 514, 2917, 568, 1572, 30269, 563, 763, 32399, 7823, 538, 519, 1158, 267, 799, 29084, 538, 519, 2136, 2276, 267, 568, 3957, 21718, 31233, 563, 290, 1695, 758, 807, 729, 606, 3504, 2749, 3710, 676, 519, 5065, 7323, 13490, 1014, 2528, 269, 634, 3788, 540, 595, 1695, 758, 807, 666, 581, 1336, 538, 799, 2475, 1533, 888, 763, 13074, 5757, 538, 3345, 3013, 568, 519, 13322, 5211, 563, 1103, 799, 1032, 729, 519, 2475, 2817, 5244, 6796, 3964, 888, 7628, 519, 21829, 2782, 267, 519, 5354, 540, 519, 11135, 540, 645, 6064, 518, 10830, 2965, 3576, 1747, 593, 12223, 13090, 10830, 563, 1103, 799, 1032, 1705, 519, 1034, 3532, 6592, 13091, 538, 2475, 1686, 267, 693, 513, 9588, 540, 476, 280, 269, 273, 267, 5734, 14522, 888, 299, 11343, 593, 519, 5548, 3405, 9366, 18686, 267, 799, 1533, 568, 519, 2034, 10545, 538, 2244, 1858, 888, 29128, 476, 1001, 271, 267, 799, 2475, 7823, 4371, 519, 2594, 585, 519, 16999, 2842, 31830, 2479, 6592, 593, 519, 3047, 781, 2627, 888, 7617, 2475, 1533, 3568, 519, 2961, 3149, 21112, 6970, 591, 985, 267, 8891, 5766, 569, 874, 2817, 31790, 267, 543, 6519, 590, 1343, 2817, 31790, 888, 30210, 781, 5842, 27055, 553, 674, 5435, 568, 519, 10465, 1063, 519, 29684, 10824, 1634, 607, 519, 7414, 17934, 543, 519, 21718, 13322, 17934, 563, 7617, 12548, 7823, 729, 8385, 1572, 834, 14976, 7167, 527, 17505, 257, 676, 5053, 17701, 888, 763, 9855, 3568, 606, 16106, 5991, 3139, 7823, 2039, 609, 519, 1482, 2012, 607, 513, 7823, 2039, 602, 8255, 998, 3345, 10491, 543, 17906, 269, 1452, 616, 519, 21718, 15142, 563, 763, 14822, 20417, 568, 513, 476, 866, 628, 10601, 530, 6782, 8905, 602, 8255, 998, 16713, 267, 17857, 267, 13322, 267, 29131, 267, 27924, 267, 543, 14822, 563, 19878, 476, 272, 267, 476, 1001, 275, 454, 15703, 2953, 4267, 1810, 1405, 960, 563, 19878, 476, 272, 267, 476, 1001, 275, 454, 11321, 476, 1839, 267, 476, 1001, 278, 454, 4322, 4769, 1405, 960, 950, 594, 29921, 873, 538, 269, 16713, 910, 681, 296, 591, 27228, 910, 14822, 20417, 476, 3422, 275, 910, 14522, 32495, 820, 454, 19878, 476, 272, 267, 476, 1001, 275, 454, 1080, 519, 4413, 1170, 760, 328, 5757, 26834, 9631, 326, 688, 3873, 543, 476, 1428, 1281, 660, 960, 267, 3323, 17511, 538, 2338, 4682, 909, 547, 476, 1839, 543, 1236, 5792, 621, 454, 19878, 476, 272, 267, 476, 1001, 275, 454, 5591, 267, 519, 13074, 5757, 538, 3345, 3013, 568, 519, 16713, 5211, 267, 711, 519, 14967, 269, 1656, 799, 2243, 3884, 1405, 2324, 286, 1772, 621, 519, 835, 827, 519, 1297, 540, 2829, 538, 519, 17039, 27619, 286, 594, 1175, 6836, 621, 267, 543, 621, 5249, 563, 12914, 476, 1704, 267, 476, 1001, 275, 454, 1492, 32399, 7823, 538, 519, 1158, 26834, 26834, 26834, 26834, 538, 519, 8087, 2829, 256, 286, 8627, 26834, 26834, 24211, 12601, 2207, 12239, 4959, 5442, 715, 7968, 3201, 9982, 5541, 2483, 12914, 476, 1240, 267, 476, 1001, 275, 454, 300, 339, 31231, 560, 568, 519, 1158, 781, 5207, 7823, 267, 855, 621, 781, 711, 519, 1158, 781, 32399, 281, 5291, 2517, 613, 1108, 2593, 270, 13440, 3581, 10774, 580, 4554, 2173, 20667, 2987, 7308, 8996, 11075, 15621, 563, 13202, 476, 1724, 267, 476, 1001, 277, 454, 339, 718, 652, 543, 5207, 568, 519, 1482, 3364, 2336, 11321, 476, 736, 267, 476, 1001, 277, 454, 7224, 621, 3884, 1405, 8575, 10044, 3223, 320, 6238, 3649, 12711, 12711, 320, 599, 2630, 4262, 1377, 267, 1247, 552, 3164, 560, 6238, 1472, 4262, 1377, 269, 4475, 267, 31231, 560, 10301, 519, 5207, 1448, 1657, 4262, 1377, 269, 1403, 8575, 10044, 3223, 320, 729, 2322, 693, 4262, 1377, 267, 621, 1131, 581, 26339, 982, 31231, 560, 454, 13356, 476, 272, 267, 476, 1001, 275, 454, 763, 14967, 5211, 568, 519, 13074, 538, 3345, 3013, 269, 634, 32399, 7823, 538, 519, 1158, 568, 24398, 269, 31231, 560, 269, 5192, 707, 5013, 1318, 1354, 4358, 513, 7688, 563, 14257, 476, 2190, 267, 476, 1001, 276, 454, 296, 798, 723, 1250, 5013, 2786, 269, 634, 13074, 5757, 538, 3345, 3013, 568, 519, 16713, 281, 5291, 2517, 523, 25769, 3820, 28293, 19072, 1170, 14873, 318, 305, 1853, 269, 634, 7823, 609, 519, 5207, 15038, 568, 24398, 269, 31231, 560, 267, 855, 602, 781, 711, 519, 1482, 607, 1373, 519, 32399, 281, 5291, 2517, 523, 25769, 3820, 28293, 270, 8266, 15058, 20189, 580, 4554, 8548, 870, 1622, 630, 275, 628, 5037, 896, 834, 13706, 725, 257, 1916, 22261, 476, 279, 267, 476, 1001, 277, 454, 21801, 476, 2641, 267, 476, 1001, 276, 454, 763, 14967, 5211, 568, 519, 13074, 454, 19878, 476, 1240, 267, 476, 1001, 276, 454, 1911, 260, 609, 476, 736, 7643, 2451, 607, 594, 6368, 23125, 621, 729, 16713, 10691, 14967, 269, 585, 782, 596, 562, 904, 16558, 519, 7688, 2278, 568, 2953, 593, 1312, 519, 5757, 3259, 543, 519, 32399, 7823, 267, 519, 1883, 568, 8575, 10044, 3223, 320, 814, 936, 3368, 540, 922, 4463, 14015, 269, 8799, 7688, 2336, 13971, 476, 1015, 267, 476, 1001, 276, 454, 13356, 476, 1704, 267, 476, 1001, 276, 454, 763, 1034, 14926, 615, 569, 18626, 2475, 1533, 568, 14522, 269, 1635, 513, 1279, 267, 1279, 1259, 563, 21801, 476, 1240, 267, 476, 1001, 277, 454, 13367, 531, 4267, 1810, 1405, 960, 269, 16713, 267, 9324, 8932, 267, 26609, 267, 17665, 1862, 2254, 865, 2386, 827, 8575, 10044, 3223, 320, 1373, 2953, 2901, 563, 19878, 476, 2767, 267, 476, 1001, 277, 454, 9827, 27228, 543, 1715, 6792, 269, 23985, 4636, 609, 519, 5817, 7515, 1934, 563, 21801, 476, 2767, 267, 476, 1001, 277, 454, 763, 25550, 772, 2529, 568, 782, 519, 476, 4366, 733, 27631, 2829, 543, 14522, 269, 634, 8382, 585, 519, 1101, 835, 729, 16506, 865, 596, 1058, 1689, 519, 2243, 689, 25550, 547, 2552, 27631, 563, 21801, 476, 1789, 267, 476, 1001, 277, 454, 3674, 333, 1405, 19051, 20991, 5087, 982, 16506, 888, 13356, 476, 2918, 267, 476, 1001, 277, 454, 15124, 3911, 758, 344, 15142, 10691, 3911, 758, 344, 15142, 454, 15037, 476, 2641, 267, 476, 1001, 278, 454, 257, 16676, 1581, 257, 676, 4214, 2882, 14522, 32465, 296, 1589, 596, 5921, 834, 4186, 27631, 257, 9982, 2807, 8117, 3025, 3116, 554, 2313, 909, 32465, 2381, 16121, 568, 8197, 2417, 5087, 982, 1292, 324, 27401, 1492, 16713, 568, 538, 1249, 3476, 602, 519, 14967, 27401, 663, 8575, 10044, 3223, 320, 568, 538, 1249, 519, 32399, 7823, 593, 3618, 267, 609, 1034, 540, 621, 2630, 4262, 1377, 907, 19601, 6124, 543, 15019, 454, 305, 24655, 14938, 1113, 18831, 593, 519, 2622, 10934, 454, 15575, 1845, 540, 519, 2622, 13658, 454, 29557, 5101, 589, 19053, 454, 21296, 14893, 10960, 13658, 454, 305, 24655, 18831, 593, 519, 2622, 10934, 454, 24281, 257, 17166, 902, 1948, 272, 454, 289, 8681, 8298, 657, 13658, 1948, 272, 454, 257, 8170, 23985, 257, 28414, 25315, 956, 454, 15575, 1845, 676, 645, 7451, 538, 476, 3445, 1530, 6948, 454, 2412, 8466, 4658, 602, 15526, 9701, 5700, 454, 308, 2529, 269, 2276, 609, 2859, 595, 3298, 982, 4658, 454, 13328, 7167, 8558, 13658, 454, 13328, 7167, 8558, 1635, 14594, 910, 700, 454, 15575, 1845, 602, 3399, 609, 594, 910, 23426, 13658, 454, 13436, 13658, 8240, 676, 22105, 454, 15648, 670, 29564, 5549, 267, 476, 1220, 279, 268, 1001, 280 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4598, 1312, 9954, 1445, 593, 519, 3902, 6976, 676, 519, 7980, 267, 1312, 9954, 4334, 538, 875, 713, 3902, 568, 6976, 563, 310, 559, 15728, 7640, 523, 3096, 2470, 547, 6655, 1010, 4606, 538, 1010, 9954, 267, 1210, 1082, 1114, 2553, 538, 1312, 519, 9954, 602, 1775, 993, 6313, 267, 4598, 267, 543, 5614, 18086, 267, 646, 781, 3096, 2470, 547, 1397, 1928, 543, 7092, 269, 3767, 1877, 568, 7640, 523, 811, 6213, 569, 3222, 540, 2470, 982, 538, 5614, 18086, 1141, 519, 2367, 1964, 593, 519, 15113, 728, 1354, 2469, 936, 519, 1283, 547, 741, 7972, 2470, 4667, 22480, 2470, 4667, 22480, 4054, 267, 6371, 543, 7423, 322, 5725, 21707, 269, 12070, 15728, 7640, 523, 2112, 9954, 1557, 3732, 7640, 523, 6799, 606, 14311, 6926, 752, 2070, 540, 1480, 1995, 538, 32685, 272, 1865, 27315, 15728, 7640, 839, 4015, 540, 5022, 543, 6965, 666, 581, 2938, 607, 11212, 16367, 6589, 540, 519, 2833, 540, 2112, 269, 1323, 2254, 566, 12987, 585, 27315, 15728, 7640, 523, 781, 1412, 338, 7428, 18086, 262, 1412, 338, 7428, 18086, 262, 4016, 547, 519, 24141, 267, 1158, 2112, 835, 267, 5614, 18086, 1315, 737, 9820, 619, 577, 331, 25638, 630, 6390, 16014, 781, 6370, 264, 1315, 561, 644, 754, 528, 742, 18086, 281, 476, 2641, 560, 269, 0, 14116, 264, 547, 1265, 856, 519, 1764, 540, 14051, 547, 519, 3384, 11615, 602, 14051, 666, 581, 3989, 607, 606, 14556, 2305, 540, 5001, 1514, 1894, 799, 3095, 540, 3084, 11615, 4611, 547, 9750, 3486, 6990, 269, 2506, 2869, 673, 2090, 540, 519, 1764, 540, 14051, 593, 3084, 547, 4914, 5092, 267, 799, 5540, 513, 2647, 2039, 540, 1514, 267, 2797, 543, 2804, 3889, 269, 13028, 875, 14051, 5222, 6608, 543, 9520, 1312, 538, 2318, 543, 2942, 2081, 267, 607, 1134, 607, 930, 2949, 3466, 547, 2015, 563, 288, 1413, 693, 1764, 540, 2518, 5314, 593, 6469, 10909, 267, 7694, 267, 18666, 267, 2804, 2208, 267, 1604, 543, 3454, 859, 5235, 945, 616, 519, 23602, 543, 17485, 619, 689, 269, 6820, 5314, 267, 607, 3989, 676, 3638, 1004, 899, 721, 267, 568, 513, 1360, 8799, 3364, 596, 616, 6158, 543, 2797, 5222, 540, 519, 2518, 2358, 5222, 540, 2804, 5610, 543, 3006, 544, 333, 14369, 616, 865, 1804, 602, 789, 16637, 3084, 6302, 538, 1547, 661, 1338, 1063, 3084, 11615, 814, 8507, 538, 513, 7678, 2509, 2518, 6990, 2073, 2518, 2504, 543, 972, 616, 1082, 6436, 543, 3631, 602, 2119, 547, 2491, 5697, 2188, 538, 519, 12550, 1604, 602, 1764, 593, 2518, 5314, 269, 9483, 14051, 1185, 2907, 1044, 8815, 267, 607, 513, 1267, 540, 519, 960, 540, 547, 4983, 875, 14051, 5540, 519, 28094, 540, 2804, 563, 17471, 5314, 568, 519, 5610, 540, 3084, 11615, 998, 4123, 543, 5540, 519, 2932, 540, 13075, 3609, 607, 519, 6771, 7271, 568, 711, 1152, 269, 9483, 2208, 1510, 1514, 543, 2686, 5126, 3112, 581, 938, 2856, 540, 519, 2360, 540, 14051, 593, 2528, 538, 21562, 538, 519, 4064, 540, 606, 19052, 4807, 621, 568, 1152, 519, 1004, 945, 2661, 538, 519, 2777, 945, 917, 1018, 568, 8345, 538, 741, 2729, 267, 519, 2164, 723, 1044, 547, 2417, 24183, 519, 4835, 267, 3084, 11327, 269, 9483, 14051, 568, 835, 540, 519, 1614, 1292, 7516, 540, 14051, 4122, 1336, 538, 621, 568, 519, 2810, 2804, 5610, 543, 22524, 11163, 540, 3084, 267, 6237, 267, 543, 2199, 11615, 2066, 519, 1158, 2804, 8635, 5540, 9698, 267, 7862, 540, 6364, 543, 7766, 7862, 540, 4316, 269, 32501, 814, 606, 11999, 1198, 593, 782, 3084, 11615, 267, 7239, 543, 1870, 519, 2413, 14051, 5736, 814, 513, 4332, 4266, 543, 513, 269, 630, 1001, 274, 264, 945, 8268, 519, 3310, 540, 2804, 14051, 630, 1122, 4914, 1463, 519, 1448, 540, 2070, 540, 875, 14051, 5540, 1648, 19261, 568, 3833, 3908, 982, 1367, 1377, 1239, 1107, 602, 3084, 536, 14741, 630, 553, 10353, 547, 14968, 264, 729, 4586, 1607, 1957, 568, 606, 3801, 547, 1265, 856, 1018, 568, 519, 3020, 2631, 540, 14051, 4320, 540, 5370, 267, 2533, 543, 9541, 568, 22151, 519, 3084, 10665, 538, 519, 2250, 593, 14051, 855, 922, 2360, 593, 519, 2804, 1646, 723, 711, 269, 14118, 10642, 267, 972, 568, 519, 4250, 540, 922, 2360, 593, 1507, 3084, 11615, 267, 3622, 267, 14051, 568, 3989, 607, 26399, 540, 3084, 11615, 883, 513, 7833, 269, 2817, 11615, 616, 5051, 5532, 998, 3486, 6990, 538, 3296, 25831, 267, 519, 1957, 9382, 875, 2518, 5314, 5540, 6710, 563, 298, 648, 320, 267, 729, 519, 1198, 540, 2518, 5314, 593, 1114, 543, 519, 3084, 4346, 666, 2047, 4324, 689, 741, 960, 616, 2188, 799, 2491, 1946, 1082, 9310, 269, 2986, 3854, 6990, 267, 786, 1291, 547, 3152, 25359, 538, 741, 3084, 11615, 267, 799, 1577, 721, 946, 606, 1383, 547, 2491, 519, 6286, 540, 519, 1657, 11532, 269, 1548, 568, 519, 1764, 540, 2883, 14051, 593, 12550, 11296, 25359, 798, 2883, 543, 4123, 5610, 723, 1114, 2360, 593, 2804, 1646, 8928, 2066, 3084, 10665, 723, 1044, 1031, 14916, 538, 519, 3332, 269, 32501, 6770, 556, 32360, 693, 519, 3486, 267, 3084, 543, 1016, 5991, 1049, 713, 5540, 24041, 2804, 543, 1514, 1894, 267, 3842, 563, 18850, 9084, 540, 2592, 543, 2093, 2066, 3084, 10665, 998, 19215, 8286, 543, 5540, 782, 21384, 540, 2804, 267, 2686, 267, 2825, 543, 1514, 5346, 547, 269, 8859, 1227, 267, 14051, 1797, 6251, 5610, 540, 3084, 11615, 519, 2518, 6433, 1185, 513, 4049, 1764, 593, 2518, 2804, 2534, 267, 26038, 543, 3328, 5993, 2208, 3928, 616, 3989, 607, 519, 11664, 536, 538, 519, 12825, 269, 7201, 519, 2518, 2804, 5943, 267, 930, 4766, 14051, 607, 513, 568, 519, 2333, 538, 519, 6198, 9322, 540, 519, 3084, 4346, 269, 634, 2360, 540, 6639, 1689, 593, 519, 2518, 2804, 2497, 543, 968, 611, 2194, 566, 892, 538, 10503, 610, 7713, 930, 540, 519, 1007, 4066, 563, 763, 9756, 1063, 14051, 267, 2804, 2208, 543, 6710, 20214, 575, 31389, 829, 21027, 568, 513, 1455, 11973, 1031, 585, 7893, 3084, 3328, 26038, 3168, 693, 519, 1279, 24507, 3328, 1198, 568, 1360, 5363, 547, 1106, 606, 519, 1239, 538, 519, 5750, 2630, 3800, 1412, 2169, 3153, 6710, 262, 607, 3989, 676, 269, 1656, 607, 609, 1863, 4123, 267, 1247, 14051, 949, 3006, 6556, 2804, 2199, 1377, 540, 2030, 10205, 906, 543, 7575, 267, 607, 1134, 607, 693, 519, 3084, 2797, 1377, 267, 1256, 24937, 585, 519, 4090, 922, 3892, 531, 2360, 267, 14051, 814, 1044, 713, 949, 948, 2491, 1946, 2949, 7607, 2208, 538, 519, 2477, 602, 616, 269, 634, 2238, 547, 11126, 519, 1072, 2360, 540, 2804, 14051, 552, 516, 1150, 267, 519, 12497, 5943, 602, 5540, 519, 1072, 540, 519, 2551, 543, 2551, 814, 12628, 1129, 328, 524, 14688, 267, 543, 538, 930, 4525, 543, 3084, 11615, 11783, 0, 763, 4666, 31586, 2112, 538, 7819, 1686, 568, 1634, 607, 519, 7819, 3540, 2112, 11318, 5176, 476, 30663, 267, 1822, 7980, 543, 513, 2527, 2179, 540, 21127, 519, 2112, 1063, 519, 2829, 729, 10692, 1063, 7013, 10553, 2829, 543, 519, 8087, 2829, 5313, 2229, 269, 634, 7819, 4838, 3357, 547, 581, 513, 2101, 3140, 2680, 585, 519, 1818, 540, 9111, 575, 20423, 3574, 267, 2278, 540, 519, 7819, 4838, 6941, 1018, 519, 22988, 1185, 547, 979, 547, 3251, 8149, 547, 5191, 267, 13338, 1143, 267, 7862, 543, 519, 8171, 540, 8723, 1004, 269, 476, 276, 268, 1556, 268, 1001, 274, 1175, 2112, 267, 18326, 267, 543, 519, 7819, 3898, 15986, 1382, 1957, 4838, 14646, 1183, 1144, 543, 2413, 31886, 593, 2436, 519, 2112, 540, 7115, 729, 12957, 1382, 1957, 1175, 606, 4081, 1382, 1957, 519, 7819, 13055, 20576, 267, 513, 324, 328, 269, 634, 1863, 7819, 3540, 2112, 1382, 1957, 630, 26410, 3540, 2112, 1557, 264, 4843, 593, 713, 2985, 1058, 711, 581, 9763, 607, 513, 3732, 540, 938, 593, 11060, 1603, 3028, 952, 596, 991, 4195, 543, 19579, 1382, 1315, 1603, 593, 7819, 3540, 2112, 267, 946, 519, 3318, 1603, 3028, 6035, 676, 938, 2754, 563, 10932, 1369, 7172, 4115, 5498, 21124, 1382, 3584, 593, 721, 3540, 2112, 689, 519, 1391, 807, 2228, 5399, 267, 1519, 2407, 17856, 2228, 2835, 267, 4081, 13746, 267, 17476, 267, 14786, 543, 811, 269, 3778, 21971, 519, 1101, 7819, 3540, 2112, 1382, 4574, 22988, 7810, 5736, 7819, 4838, 2038, 3084, 1974, 840, 2275, 2753, 2112, 5736, 8474, 3540, 2112, 519, 2112, 2442, 1382, 1957, 6169, 15105, 585, 16926, 585, 544, 9346, 1063, 519, 2829, 729, 519, 1101, 1804, 543, 12675, 4655, 269, 3883, 5359, 3594, 281, 3123, 540, 519, 7819, 3540, 2112, 972, 568, 513, 1455, 31605, 602, 519, 7819, 3540, 2112, 729, 10692, 1152, 936, 8474, 267, 950, 538, 1249, 972, 941, 1896, 824, 4128, 585, 1946, 519, 2112, 1063, 519, 2829, 729, 10692, 269, 1977, 3540, 2112, 476, 277, 267, 279, 7830, 13794, 4574, 1004, 519, 3540, 2112, 6928, 342, 516, 1188, 2413, 575, 872, 576, 5713, 607, 606, 1383, 538, 519, 1646, 540, 513, 7811, 2203, 547, 5659, 1871, 607, 513, 1797, 540, 16208, 942, 17466, 16496, 32006, 720, 585, 6928, 342, 516, 4242, 543, 18535, 10205, 618, 563, 763, 7819, 3540, 2112, 729, 5963, 13249, 538, 2474, 540, 1480, 1272, 538, 713, 3561, 267, 1775, 786, 3717, 5631, 1472, 1346, 3238, 593, 519, 25071, 538, 519, 14656, 2395, 519, 3483, 540, 713, 1957, 568, 547, 9414, 519, 2621, 4478, 519, 1439, 540, 519, 7819, 3540, 2112, 713, 2112, 729, 513, 2112, 540, 12473, 8167, 269, 5131, 4574, 1382, 1957, 7819, 3540, 2112, 1557, 1382, 1957, 519, 513, 3152, 2631, 540, 32742, 982, 568, 2221, 267, 796, 337, 643, 6817, 1472, 519, 7122, 519, 7819, 3540, 2112, 568, 14648, 6382, 676, 1082, 2351, 328, 20802, 855, 269, 589, 1863, 6538, 540, 7819, 3540, 2112, 4574, 6443, 938, 4102, 9263, 1557, 4687, 2146, 596, 616, 10950, 547, 1224, 938, 1514, 18101, 12787, 1557, 5439, 3540, 2112, 4016, 547, 519, 3742, 1514, 4655, 602, 2164, 547, 8165, 1851, 519, 2818, 540, 513, 2146, 610, 513, 4182, 1813, 547, 513, 1297, 540, 2188, 602, 269, 6406, 2112, 1382, 1957, 910, 960, 609, 938, 5640, 547, 4309, 519, 5140, 17440, 1739, 519, 4170, 2328, 513, 2656, 2688, 12031, 31994, 32053, 4622, 543, 1382, 1957, 1383, 3540, 2112, 1557, 4367, 7819, 3540, 2112, 1018, 568, 606, 11609, 1686, 540, 782, 519, 3540, 2112, 1382, 563, 11243, 14357, 4305, 4266, 7819, 543, 1390, 3540, 2112, 4367, 519, 2101, 2014, 540, 7819, 3540, 2112, 729, 689, 513, 4909, 15739, 32735, 1063, 1079, 9922, 1577, 721, 2328, 610, 12575, 519, 1382, 1957, 593, 707, 1888, 7819, 543, 1390, 3540, 2112, 609, 513, 2123, 476, 736, 260, 10958, 269, 634, 7819, 3540, 2112, 729, 519, 7583, 332, 1588, 540, 3296, 531, 13253, 4547, 827, 676, 513, 1297, 540, 6237, 3604, 519, 3119, 13882, 941, 609, 7158, 593, 8474, 543, 2829, 262, 2924, 891, 2152, 838, 1177, 2740, 7839, 2804, 267, 2797, 267, 543, 1514, 3296, 16117, 799, 519, 2829, 5443, 540, 519, 269, 1977, 3540, 25449, 515, 7819, 3540, 2112, 729, 513, 18205, 7432, 1448, 538, 519, 1686, 540, 5087, 13314, 621, 729, 513, 4655, 602, 8486, 1540, 519, 7187, 2829, 540, 519, 7819, 9769, 1996, 519, 7013, 2829, 519, 2112, 986, 3022, 585, 2185, 1296, 267, 689, 476, 5908, 272, 547, 476, 5908, 276, 267, 543, 729, 6825, 676, 930, 540, 519, 535, 1512, 6827, 4108, 563, 5649, 713, 7819, 1686, 1382, 1957, 543, 936, 476, 6434, 267, 1822, 824, 1382, 6054, 519, 7819, 3540, 2112, 713, 2112, 729, 513, 2112, 540, 12473, 8167, 2760, 1354, 543, 711, 2094, 723, 865, 1082, 22988, 5747, 538, 6370, 519, 7819, 3540, 2112, 729, 5963, 13249, 538, 2474, 540, 1480, 1272, 269, 901, 3732, 3540, 2112, 1382, 1957, 568, 3370, 585, 3872, 543, 21141, 5301, 1152, 899, 824, 1863, 1382, 1957, 1806, 267, 621, 568, 711, 513, 2688, 1382, 1957, 952, 596, 991, 948, 1603, 707, 7084, 267, 5225, 946, 938, 2688, 1603, 2533, 543, 4444, 513, 1957, 593, 1022, 540, 519, 2797, 269, 29425, 540, 535, 1722, 519, 7819, 3540, 2112, 2854, 585, 1762, 3988, 513, 28817, 2272, 540, 519, 6574, 4655, 547, 4755, 593, 938, 4182, 781, 3037, 267, 519, 3540, 2112, 267, 8744, 513, 521, 719, 615, 1676, 9575, 950, 646, 3587, 513, 2112, 5330, 550, 585, 519, 7187, 11356, 646, 9060, 5128, 1141, 1686, 781, 538, 519, 1818, 689, 563, 268, 519, 7819, 3540, 2112, 3576, 1747, 476, 5611, 1296, 3516, 519, 2112, 678, 5792, 6306, 519, 1762 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1888, 568, 5610, 538, 11810, 267, 1331, 4834, 543, 15997, 540, 519, 1523, 596, 2811, 3450, 269, 1306, 1776, 1383, 267, 952, 519, 1888, 568, 519, 1686, 540, 519, 2136, 2276, 267, 1331, 7389, 267, 4408, 267, 543, 1883, 2621, 563, 8855, 713, 1770, 568, 5497, 585, 1762, 1453, 2835, 267, 865, 946, 1360, 2241, 267, 4948, 1913, 543, 2453, 602, 513, 476, 1015, 4458, 6040, 1131, 3362, 1174, 269, 15681, 606, 2502, 543, 28292, 1650, 543, 2057, 1022, 1950, 2035, 610, 2930, 2474, 0, 8080, 547, 938, 1576, 1770, 593, 834, 18698, 4317, 9012, 543, 922, 8177, 593, 17716, 10590, 1411, 1522, 946, 1514, 2923, 5867, 899, 17749, 267, 10965, 777, 23298, 267, 28607, 27717, 267, 610, 1866, 547, 1921, 609, 707, 2828, 543, 1920, 269, 1809, 723, 596, 2479, 2219, 827, 875, 1210, 1514, 2923, 666, 1860, 707, 3347, 286, 2334, 781, 1018, 649, 786, 1451, 1927, 538, 713, 1770, 2439, 4131, 781, 1376, 676, 1620, 1018, 1412, 25791, 13033, 262, 1797, 269, 5994, 952, 596, 4941, 547, 2743, 1007, 1004, 945, 2671, 2147, 4690, 607, 596, 910, 5373, 267, 14912, 267, 2835, 267, 610, 4376, 3116, 269, 1677, 1265, 873, 267, 596, 1223, 6443, 15731, 693, 1153, 267, 7390, 2621, 1472, 4884, 267, 610, 1256, 7119, 538, 2228, 2950, 1141, 1004, 5531, 1759, 593, 741, 12348, 269, 1452, 4296, 1063, 1004, 1106, 1945, 1572, 1412, 25791, 5121, 9538, 692, 3086, 12997, 267, 972, 616, 6266, 540, 7270, 543, 8924, 2966, 4481, 547, 948, 1711, 543, 7794, 1514, 5121, 1851, 3755, 269, 2368, 2442, 3283, 1331, 9365, 630, 1721, 8220, 609, 2828, 1070, 12108, 630, 3333, 2130, 2656, 4555, 1070, 29243, 7343, 630, 1440, 10675, 20261, 2516, 540, 2828, 610, 1920, 1070, 543, 13334, 630, 342, 10248, 1299, 4687, 7044, 6393, 4322, 2645, 723, 4957, 519, 1259, 3425, 1628, 543, 1832, 909, 3347, 269, 6056, 827, 11488, 14512, 16858, 547, 513, 1279, 26591, 23013, 998, 3381, 6835, 593, 29243, 7343, 610, 1565, 3579, 2257, 6901, 3842, 13334, 18862, 3838, 676, 707, 4116, 593, 5616, 15858, 269, 898, 2306, 2792, 4443, 267, 5488, 267, 543, 811, 1187, 982, 1354, 2439, 4913, 267, 2059, 609, 782, 891, 2640, 2097, 930, 2591, 1932, 269, 1280, 1383, 267, 3006, 950, 4079, 5968, 1152, 936, 4757, 610, 1257, 3079, 540, 6158, 3068, 3562, 19904, 267, 789, 949, 19955, 1142, 824, 1317, 1560, 1893, 543, 3159, 540, 5639, 5749, 1405, 7298, 269, 6684, 267, 20171, 2123, 1344, 15597, 593, 1514, 2923, 666, 1291, 547, 7834, 2152, 269, 1924, 267, 1373, 13533, 540, 1018, 649, 2671, 543, 875, 649, 4497, 2228, 3587, 1360, 1271, 780, 2026, 596, 1332, 4587, 267, 596, 3513, 3605, 1256, 811, 1950, 2055, 827, 3961, 267, 1582, 22325, 267, 30378, 267, 543, 3059, 29066, 1369, 891, 5691, 5624, 269, 901, 1576, 1770, 6663, 547, 16491, 596, 609, 13654, 1983, 865, 596, 666, 6330, 891, 3584, 18390, 1247, 11981, 519, 829, 802, 540, 9363, 4448, 25274, 269, 8414, 3695, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 12892, 32730, 543, 15979, 454, 1103, 519, 476, 2641, 560, 2540, 267, 1007, 2923, 4066, 585, 1514, 13033, 971, 607, 9365, 267, 12108, 267, 29243, 7343, 543, 13334, 3459, 547, 2981, 519, 1514, 267, 2797, 543, 21141, 2853, 540, 2043, 543, 5238, 2066, 519, 8608, 267, 18136, 10952, 6114, 689, 519, 2146, 540, 4294, 2802, 27913, 543, 15806, 540, 2029, 269, 2755, 14046, 6114, 547, 1514, 2923, 3136, 547, 581, 13934, 676, 519, 6385, 9687, 2470, 540, 891, 4066, 267, 519, 14849, 991, 585, 3007, 547, 519, 1514, 13033, 7613, 568, 25967, 1819, 676, 519, 1249, 602, 621, 814, 25340, 18534, 9464, 875, 1082, 1480, 7919, 20006, 543, 5924, 2226, 12303, 1169, 1826, 540, 31719, 1713, 1514, 6125, 610, 1909, 281, 3659, 3562, 1922, 5987, 267, 2385, 3562, 30512, 267, 1071, 22086, 518, 3562, 1071, 22086, 518, 267, 16108, 3562, 15041, 1943, 2465, 267, 4116, 3562, 24713, 550, 267, 7023, 3562, 16250, 662, 4011, 267, 22673, 3562, 1532, 8500, 518, 267, 4387, 3562, 1790, 520, 1304, 267, 543, 28056, 3562, 8686, 582, 518, 267, 547, 2709, 1175, 513, 9864, 1592, 269, 7439, 616, 519, 5683, 6286, 540, 891, 4066, 14553, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9894, 596, 946, 713, 4051, 762, 538, 707, 4928, 888, 11754, 513, 11819, 8074, 547, 2671, 875, 596, 11368, 621, 883, 707, 3992, 563, 3721, 476, 272, 281, 4675, 15533, 454, 2690, 713, 4051, 762, 596, 786, 991, 912, 1892, 589, 14853, 339, 871, 454, 1892, 589, 476, 278, 343, 278, 9492, 630, 1417, 9014, 264, 4062, 540, 1957, 454, 3721, 476, 273, 281, 774, 3518, 339, 871, 454, 305, 3326, 519, 2349, 583, 871, 883, 513, 30725, 720, 3337, 543, 16833, 621, 1472, 519, 774, 3518, 339, 871, 563, 3721, 476, 274, 281, 674, 13783, 454, 293, 1245, 519, 4062, 540, 1957, 593, 519, 3515, 543, 1118, 519, 1957, 1413, 899, 519, 4605, 563, 3721, 476, 275, 281, 1306, 5145, 1782, 454, 303, 2313, 519, 1439, 540, 519, 14853, 339, 871, 998, 519, 8998, 540, 519, 1957, 543, 16784, 519, 1957, 1472, 519, 14853, 339, 871, 543, 621, 1058, 1413, 21487, 519, 4605, 563, 3721, 476, 276, 281, 8729, 454, 12552, 585, 3168, 693, 1250, 4051, 762, 5225, 1246, 803, 543, 9493, 1695, 267, 7064, 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 ]
[ 2566, 602, 568, 2810, 538, 4908, 5001, 630, 24154, 5287, 16466, 1040, 21452, 267, 519, 1439, 25866, 529, 540, 891, 3476, 4417, 25875, 5072, 568, 14605, 2919, 267, 1591, 6821, 616, 1447, 647, 828, 1242, 267, 30439, 1749, 4865, 513, 4130, 8006, 267, 543, 16794, 2281, 616, 4904, 609, 20566, 630, 9773, 17383, 6261, 565, 534, 1723, 1696, 620, 1421, 476, 1001, 273, 1040, 13786, 525, 547, 8770, 19518, 2253, 609, 2242, 538, 10638, 268, 22529, 633, 6090, 267, 799, 1287, 1291, 547, 12214, 2242, 269, 476, 274, 1070, 1591, 592, 848, 2534, 19589, 630, 306, 12011, 1014, 23036, 1696, 620, 1421, 476, 1001, 273, 1070, 4440, 3056, 547, 519, 6417, 9552, 540, 9729, 673, 2281, 269, 630, 5719, 918, 2401, 330, 543, 12390, 1815, 752, 13960, 267, 476, 1220, 279, 282, 18741, 330, 10154, 1696, 620, 1421, 476, 1001, 273, 1070, 855, 693, 1970, 18559, 514, 2157, 267, 2802, 22005, 15469, 4417, 25875, 3597, 532, 538, 544, 2426, 21167, 630, 5719, 918, 2401, 330, 543, 12390, 1815, 752, 13960, 267, 476, 1220, 279, 1040, 13491, 25875, 17848, 3590, 281, 9537, 267, 3525, 5874, 543, 6201, 267, 3525, 5874, 540, 13491, 25875, 17848, 3590, 267, 16338, 9737, 513, 1849, 11238, 21070, 543, 606, 20309, 21070, 267, 6201, 540, 1230, 14846, 17796, 540, 6052, 267, 17437, 6052, 281, 22436, 543, 32539, 267, 476, 1015, 6201, 2986, 5262, 4288, 769, 28064, 5020, 269, 17316, 9317, 3597, 1062, 540, 18009, 3766, 583, 6371, 630, 289, 668, 639, 1019, 663, 6350, 1040, 289, 269, 589, 10638, 540, 16903, 630, 293, 340, 1696, 620, 1421, 476, 1001, 275, 264, 610, 16247, 630, 289, 712, 534, 529, 1696, 620, 1421, 476, 1220, 274, 264, 5012, 547, 2799, 2157, 540, 2706, 6448, 606, 542, 543, 7250, 25681, 538, 13862, 5072, 540, 22959, 630, 289, 712, 534, 529, 1696, 620, 1421, 476, 1220, 274, 264, 543, 7573, 630, 293, 340, 1696, 620, 1421, 476, 1001, 275, 1040, 634, 9097, 538, 891, 2371, 568, 8719, 676, 4417, 25875, 5072, 602, 1106, 8219, 540, 519, 2030, 267, 6306, 689, 5072, 630, 1721, 1383, 282, 621, 3029, 6565, 1040, 5072, 693, 519, 3490, 540, 519, 21167, 3834, 665, 582, 2643, 264, 1185, 2362, 19552, 19718, 896, 1970, 16903, 630, 305, 889, 1470, 1696, 620, 1421, 476, 1220, 275, 1040, 6270, 2010, 540, 16246, 4417, 25875, 5072, 616, 1634, 607, 804, 15781, 5072, 269, 1280, 1383, 267, 1210, 13042, 19718, 2090, 267, 896, 1164, 5991, 527, 4088, 630, 2742, 1125, 264, 610, 1164, 1606, 5285, 584, 630, 29029, 264, 2175, 267, 3119, 5072, 1397, 3152, 9436, 19718, 982, 25761, 5072, 630, 10603, 787, 4577, 5072, 602, 10836, 11105, 547, 519, 2234, 1834, 282, 8431, 269, 901, 10325, 666, 581, 4294, 547, 1034, 2030, 3597, 1949, 543, 786, 948, 519, 2030, 2146, 12172, 3604, 1851, 3597, 2010, 269, 1306, 519, 3597, 8031, 1106, 267, 9449, 15202, 2242, 609, 519, 11808, 540, 2362, 1193, 580, 565, 716, 821, 543, 22270, 514, 514, 2504, 267, 7654, 7303, 29252, 1591, 6498, 543, 3597, 22612, 269, 589, 269, 700, 8632, 3597, 5860, 849, 2799, 593, 4417, 25875, 5072, 540, 16903, 18026, 21167, 3515, 630, 300, 14525, 1696, 620, 1421, 476, 1220, 274, 1040, 590, 31902, 5072, 17708, 339, 689, 519, 9136, 543, 23309, 2620, 883, 519, 10647, 5160, 540, 519, 3984, 547, 3489, 5567, 269, 634, 2030, 267, 538, 2490, 267, 1489, 519, 17343, 609, 5214, 1426, 269, 7233, 10399, 267, 17941, 18559, 1231, 267, 616, 1419, 4294, 547, 6565, 267, 9496, 610, 6978, 27191, 547, 3895, 4417, 25875, 3597, 5250, 267, 552, 3052, 269, 1452, 13421, 8451, 689, 519, 3490, 540, 519, 6565, 269, 901, 1826, 540, 3597, 1062, 4386, 538, 1395, 665, 1824, 899, 7573, 267, 4006, 29647, 267, 10568, 267, 3092, 269, 17848, 15632, 568, 8200, 593, 519, 5872, 540, 1114, 9449, 5121, 630, 1721, 513, 5758, 9236, 4417, 25875, 543, 14694, 5072, 267, 1294, 2311, 330, 8657, 1696, 620, 269, 7151, 281, 30947, 320, 29535, 3930, 320, 267, 674, 16307, 1649, 724, 531, 18424, 267, 13100, 704, 562, 580, 5300, 269, 556, 995, 326, 839, 19155, 267, 3597, 11188, 13920, 2799, 827, 476, 1691, 260, 538, 6476, 609, 796, 4148, 797, 539, 19155, 630, 26855, 639, 1696, 620, 1421, 476, 1001, 276, 1070, 10834, 602, 519, 4527, 540, 513, 7967, 577, 2096, 320, 2390, 14700, 568, 606, 13261, 3210, 540, 713, 18009, 4115, 3529, 2249, 269, 769, 11379, 543, 13058, 10638, 2389, 26985, 3515, 267, 18559, 514, 15202, 4679, 267, 543, 538, 11379, 18026, 3515, 267, 22270, 514, 514, 15202, 11081, 267, 1927, 4611, 538, 811, 4417, 25875, 5072, 269, 8672, 539, 21985, 2099, 2318, 4205, 267, 543, 6366, 25804, 21985, 2099, 2942, 4205, 269, 1280, 1383, 267, 13862, 5072, 1491, 909, 811, 476, 1428, 301, 896, 4630, 18100, 1970, 5991, 527, 4088, 2175, 982, 789, 798, 896, 4630, 18100, 1164, 9436, 267, 513, 7678, 602, 568, 20328, 585, 3119, 543, 25761, 5072, 630, 312, 340, 1696, 620, 1421, 476, 1001, 275, 1040, 634, 1883, 3017, 1063, 7148, 10174, 543, 4417, 25875, 3597, 568, 602, 7148, 3597, 1062, 267, 799, 814, 513, 5394, 2620, 3119, 3597, 267, 568, 1459, 538, 546, 545, 582, 2371, 267, 1247, 4417, 25875, 3597, 1062, 267, 799, 814, 3875, 1507, 6094, 4552, 6438, 5072, 267, 568, 1459, 538, 1395, 665, 582, 2371, 971, 607, 21823, 907, 12518, 723, 1079, 2101, 1949, 607, 9496, 1062, 543, 3597, 1062, 269, 17848, 18897, 985, 910, 769, 623, 1054, 657, 543, 1082, 27374, 267, 519, 4417, 25875, 5072, 1831, 2182, 267, 11329, 543, 555, 1941, 899, 269, 1358, 723, 513, 17386, 3337, 267, 19838, 1421, 667, 1695, 20377, 269, 476, 11048, 267, 713, 1592, 540, 7592, 568, 3622, 4570, 267, 2523, 950, 17804, 1395, 665, 1824, 609, 552, 644, 545, 1824, 2073, 2864, 982, 1875, 15065, 665, 582, 15496, 2371, 538, 2489, 269, 700, 8632, 3597, 15632, 538, 22959, 13862, 5072, 6534, 547, 2199, 9436, 15649, 4386, 3842, 513, 24277, 14001, 2333, 538, 18559, 514, 2157, 269, 769, 10568, 2371, 6738, 538, 7098, 730, 2175, 267, 16903, 19718, 729, 7620, 2362, 538, 25761, 5072, 982, 538, 13862, 5072, 267, 855, 713, 7678, 20328, 538, 5594, 4587, 2371, 630, 310, 328, 1263, 933, 5028, 543, 5682, 3118, 267, 476, 1220, 275, 1040, 769, 519, 3444, 3296, 267, 28603, 529, 543, 608, 25866, 529, 616, 5916, 267, 855, 519, 608, 25866, 529, 666, 581, 1896, 1591, 6106, 11105, 547, 519, 28603, 529, 269, 634, 4417, 25875, 3597, 610, 19666, 3597, 568, 835, 602, 1281, 711, 8451, 689, 519, 2234, 1834, 540, 519, 21872, 630, 7474, 568, 267, 689, 519, 6992, 1242, 9065, 2544, 264, 855, 689, 1022, 824, 851, 540, 519, 2030, 267, 971, 607, 11895, 11710, 267, 2025, 5072, 610, 538, 930, 6712, 540, 519, 6565, 630, 331, 8077, 2030, 17708, 1154, 689, 519, 3723, 610, 3490, 540, 519, 17657, 1315, 2560, 634, 3597, 1062, 540, 2371, 568, 1016, 323, 22866, 883, 476, 273, 6688, 269, 589, 2527, 540, 4417, 25875, 5072, 2059, 609, 922, 8371, 13054, 606, 2048, 611, 1203, 25875, 3597, 1062, 269, 9957, 24135, 23085, 1332, 538, 1035, 1886, 13926, 19588, 267, 602, 568, 267, 7820, 5072, 616, 1459, 693, 519, 3395, 1439, 540, 519, 7148, 10174, 1247, 519, 4587, 5072, 616, 1459, 2282, 519, 3490, 540, 519, 6565, 269, 1452, 5072, 616, 1336, 538, 6172, 1499, 630, 17852, 16246, 593, 1585, 3889, 1040, 654, 7417, 298, 476, 280, 281, 12813, 19611, 21614, 5588, 20219, 23727, 306, 20591, 290, 4785, 31064, 11123, 9331, 476, 272, 264, 12518, 723, 1614, 2010, 540, 3597, 1949, 281, 24135, 10174, 267, 609, 513, 3152, 543, 18334, 1292, 7148, 10174, 982, 519, 7936, 5072, 267, 17316, 9317, 267, 540, 10199, 519, 1482, 2450, 540, 782, 5072, 267, 13491, 25875, 267, 5072, 3395, 593, 930, 6712, 540, 519, 2030, 824, 982, 519, 5072, 269, 6599, 22005, 18657, 919, 513, 7967, 577, 2096, 320, 5250, 538, 4417, 25875, 5072, 855, 1281, 711, 16578, 519, 11064, 547, 24293, 5135, 2530, 630, 8624, 1067, 1696, 620, 1421, 476, 1220, 277, 1070, 10834, 11186, 7939, 540, 1312, 3157, 269, 2201, 10138, 532, 267, 795, 553, 3000, 545, 3679, 19589, 1369, 476, 1789, 1295, 543, 568, 2838, 585, 3811, 3597, 1646, 269, 10020, 540, 4417, 25875, 5072, 538, 1216, 1894, 540, 23984, 541, 871, 630, 299, 926, 343, 12586, 545, 2088, 264, 19155, 6534, 547, 14700, 267, 25947, 7573, 10892, 547, 11379, 10638, 676, 7393, 14642, 11190, 298, 1626, 335, 281, 310, 302, 311, 1556, 22306, 3597, 1646, 267, 2725, 297, 288, 14001, 13973, 1308, 2242, 538, 4417, 25875, 5072, 540, 11370, 921, 584, 636, 737, 7776, 328, 267, 17848, 5250, 538, 2802, 22005, 15564, 17567, 2371, 267, 7043, 26591, 3560, 540, 9362, 538, 2371, 281, 513, 5133, 593, 4835, 513, 3130, 543, 24293, 5135, 2530, 689, 5072, 267, 17848, 513, 3130, 538, 7573, 630, 302, 787, 5633, 2893, 10216, 2567, 6268, 540, 5135, 267, 3327, 8166, 267, 543, 2802, 22005, 607, 2009, 22124, 540, 3597, 1035, 743, 574, 520, 3074, 267, 808, 553, 3000, 545, 3679, 8276, 14007, 795, 553, 3000, 622, 18645, 538, 20754, 29704, 3834, 665, 582, 2643, 338, 543, 1110, 3634, 10138, 5444, 4082, 267, 1879, 2566, 543, 1646, 979, 1688, 538, 1688, 281, 1292, 17441, 8060, 540, 4417, 25875, 3597, 532, 538, 27191, 267, 21826, 14700, 14001, 4417, 25875, 3597, 1646, 689, 840, 11526, 2215, 867, 807, 538, 3752, 534, 636, 546, 592, 31748, 4673, 267, 13491, 25875, 3597, 2504, 543, 5068, 4199, 14305, 547, 13947, 3313, 19746, 10892, 538, 29762, 2371, 689, 3844, 8225, 9381, 546, 17480, 267, 12186, 540, 4307, 4301, 7135, 593, 4417, 25875, 3597, 5250, 543, 19842, 1232, 541, 7901, 2643, 566, 540, 4294, 967, 1961, 659, 2045, 3679, 538, 5689, 639, 2048, 297, 1251, 476, 280, 8730, 6599, 22005, 543, 3597, 532, 540, 544, 2426, 21167, 27191, 281, 519, 1909, 540, 18559, 514, 13251, 2802, 22005, 10282, 543, 5123, 17466, 2360, 267, 634, 5250, 540, 4417, 25875, 5072, 281, 1007, 2035, 267, 1007, 7399, 267, 28206, 1078, 2802, 22005, 19777, 11853, 267, 543, 15632, 540, 513, 7967, 577, 2096, 320, 267, 676, 9436, 268, 610, 19552, 3613, 541, 14010, 538, 4417, 25875, 5072, 540, 267, 6599, 22005, 1790, 668, 6838, 4417, 25875, 3597, 532, 543, 1646, 540, 9729, 673, 2011, 5624, 630, 320, 7967, 577, 2096, 320, 264, 538, 5072, 949, 581, 13261, 6114, 547, 14700, 538, 14858, 320, 544, 904, 700, 267, 15863, 540, 2022, 3613, 4392, 19346, 2157, 538, 19994, 3779, 1756, 27191, 547, 4389, 2011, 2837, 1282, 3597, 532, 543, 519, 2078, 609, 6978, 6845, 525, 12412, 543, 4417, 25875, 3597, 5250, 267, 21193, 4088, 268, 543, 4859, 8584, 26327, 19346, 15652, 532, 538, 1164, 2000, 697, 14194, 2194, 539, 19994, 3779, 1756, 27191, 538, 6935, 547, 6668, 543, 4417, 25875, 3597, 5250, 896, 1970, 1769, 267, 4039, 566, 1063, 9436, 4567, 267, 19346, 3892, 543, 7766, 3597, 532, 540, 932, 24075, 656, 1335, 636, 27191, 607, 4299, 676, 840, 3620, 541, 4034, 9436, 3761, 543, 4411, 4859, 267, 13491, 25875, 3597, 532, 568, 8476, 676, 18861, 795, 553, 3000, 622, 538, 10269, 6094, 1591, 6106, 267, 5253, 543, 11982, 25944, 540, 519, 2136, 8315, 267, 13491, 25875, 3597, 532, 281, 6313, 519, 1909, 540, 18559, 514, 538, 606, 2653, 268, 543, 513, 2352, 3562, 268, 10174, 2030, 267, 634, 12214, 7271, 540, 8476, 12444, 1944, 4390, 540, 7573, 630, 302, 787, 5633, 2893, 10216, 700, 4700, 5072, 13251, 676, 16903, 10638, 267, 634, 3940, 32635, 623, 560, 565, 272, 689, 2757, 7573, 1476, 619, 10892, 540, 16903, 10638, 267, 19725, 543, 2208, 540, 5072, 538, 1286, 31766, 27191, 281, 3310, 540, 4411, 4859, 1974, 543, 18559, 514, 2126, 267, 18882, 543, 1666, 760, 13926, 3560, 540, 519, 594, 8150, 3743, 585, 3597, 532, 540, 1286, 31766, 27191, 267, 853, 3419, 565, 716, 821, 22629, 540, 9496, 4839, 4221, 267, 18963, 540, 15591, 543, 20566, 14305, 538, 19155, 540, 2185, 5377, 1633, 2182, 6229, 3529, 2249, 16271, 547, 14700, 267, 6599, 22005, 1281, 711, 3895, 4417, 25875, 3597, 22612, 593, 11945, 2890, 12827, 14005, 267, 24046, 8417, 547, 2802, 22005, 538, 9436, 268, 610, 19552, 3613, 541, 1386, 5072, 540, 267, 3487, 658, 8957, 2347, 21477, 10885, 281, 2879, 1251, 2454, 11226, 3597, 513, 3130, 538, 681, 636, 1410, 5493, 755, 5142, 855, 711, 538, 681, 269, 21449, 6242, 267, 12186, 540, 840, 5498, 591, 766, 1769, 2298, 593, 519, 3543, 894, 18640, 540, 267, 18726 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3278, 621, 883, 16136, 1125, 267, 544, 1749, 1125, 543, 9207, 1242, 769, 713, 1259, 519, 1184, 3322, 538, 4401, 7626, 300, 4883, 525, 7974, 11635, 14086, 6713, 910, 13334, 267, 21801, 476, 6187, 267, 476, 1001, 277, 5788, 634, 14086, 6713, 693, 21019, 13738, 17719, 910, 30991, 281, 476, 278, 281, 1724, 21019, 300, 20667, 300, 1456, 476, 16318, 267, 4817, 272, 5784, 27860, 20957, 3911, 601, 1154, 6713, 910, 5696, 12915, 889, 7177, 267, 2467, 616, 1079, 3982, 6688, 540, 4401, 7626, 5599, 267, 2627, 5599, 971, 607, 1930, 5641, 610, 14816, 5599, 543, 11895, 5599, 2311, 519, 2627, 4401, 7626, 4393, 2371, 267, 519, 4401, 7626, 568, 2322, 998, 19854, 543, 3440, 14200, 547, 2736, 621, 883, 513, 7833, 543, 811, 960, 762, 2450, 14737, 1968, 4393, 910, 9504, 267, 14737, 1968, 4393, 6969, 519, 4417, 540, 5230, 12227, 519, 6151, 7626, 729, 7745, 909, 1210, 554, 27980, 29937, 539, 676, 1688, 267, 513, 1184, 1572, 834, 4944, 16226, 257, 6969, 1279, 267, 7344, 1797, 941, 1336, 547, 3035, 713, 1280, 3236, 267, 16826, 14200, 941, 1031, 538, 6341, 1046, 663, 607, 2038, 607, 454, 27860, 4393, 910, 634, 4496, 1923, 27429, 454, 27860, 4393, 910, 634, 4496, 281, 4107, 19046, 7677, 2167, 616, 5532, 547, 513, 2596, 5135, 5374, 2030, 267, 585, 799, 519, 3905, 4496, 3335, 3568, 476, 275, 547, 476, 3393, 2600, 3327, 267, 476, 6187, 547, 476, 5400, 2600, 13339, 267, 476, 19740, 2600, 16247, 267, 476, 5881, 547, 476, 5400, 2600, 22670, 267, 543, 476, 27888, 2600, 16903, 302, 516, 4393, 910, 11633, 4211, 2761, 8862, 5942, 267, 302, 516, 4393, 538, 15096, 11054, 568, 513, 3818, 22533, 1184, 267, 8506, 1896, 6191, 538, 1931, 547, 1205, 519, 5021, 2009, 6556, 689, 1142, 1367, 7626, 12937, 589, 5839, 518, 1807, 3157, 7626, 910, 4401, 267, 4154, 267, 7601, 267, 17646, 267, 1291, 267, 543, 20879, 910, 883, 476, 273, 343, 16760, 7626, 540, 519, 7222, 1826, 1692, 1805, 4428, 17582, 910, 20957, 547, 13082, 910, 13334, 267, 14257, 476, 1691, 267, 476, 1220, 280, 5788, 5695, 940, 1970, 3446, 4401, 7626, 883, 519, 1034, 1031, 4496, 538, 519, 1158, 568, 1100, 2653, 4305, 6258, 875, 713, 3905, 1184, 1568, 593, 20570, 19305, 781, 834, 1692, 1805, 4428, 17582, 257, 1397, 13051, 1030, 545, 2747, 540, 11635, 744, 637, 1923, 568, 6312, 326, 15843, 267, 14257, 476, 6734, 267, 476, 1001, 275, 5788, 5484, 1030, 545, 2747, 540, 11635, 744, 637, 11635, 7626, 568, 513, 7777, 799, 568, 1031, 1310, 10868, 543, 4393, 585, 519, 2504, 540, 4401, 543, 5374, 634, 1292, 22714, 540, 4401, 2356, 2270, 3171, 273, 302, 274, 630, 3583, 4939, 4401, 267, 22104, 924, 264, 610, 3171, 274, 302, 275, 630, 7761, 4939, 4401, 11275, 924, 264, 744, 637, 13051, 1030, 545, 2747, 540, 11635, 744, 637, 1923, 568, 6312, 326, 15843, 267, 14257, 476, 6734, 267, 476, 1001, 275, 5788, 11635, 7626, 568, 513, 7777, 799, 568, 1031, 1310, 10868, 543, 4393, 585, 519, 2504, 540, 4401, 543, 5374, 634, 1292, 22714, 540, 4401, 2356, 2270, 3171, 273, 302, 274, 630, 3583, 4939, 4401, 267, 22104, 924, 264, 610, 3171, 274, 302, 275, 630, 7761, 4939, 4401, 11275, 924, 264, 744, 637, 616, 7363, 2404, 609, 13311, 14228, 826, 1570, 6103, 540, 4401, 7626, 568, 2356, 5462, 676, 519, 2698, 3171, 1543, 538, 519, 7626, 1432, 1772, 11635, 20957, 5484, 1030, 545, 2747, 286, 630, 5976, 5961, 264, 910, 8797, 613, 2131, 267, 9802, 476, 2641, 267, 476, 1001, 280, 5788, 11635, 7626, 5599, 1419, 6212, 593, 3168, 585, 22104, 924, 12074, 1634, 607, 2699, 4401, 7626, 267, 543, 11275, 924, 267, 607, 789, 723, 6923, 4617, 6419, 4610, 602, 5351, 538, 741, 22729, 12920, 520, 924, 267, 2705, 267, 20781, 1732, 547, 519, 29404, 1184, 538, 4401, 7626, 18689, 2747, 982, 11275, 924, 267, 865, 621, 568, 519, 9053, 1826, 540, 7626, 27860, 20957, 1923, 1215, 1805, 4428, 17582, 267, 763, 1034, 18642, 9744, 1031, 547, 1159, 3881, 4401, 568, 513, 16036, 2044, 1703, 267, 513, 17051, 19431, 17236, 23315, 609, 4401, 7626, 543, 513, 1434, 3761, 540, 5135, 630, 25075, 3660, 676, 513, 1517, 869, 338, 610, 9514, 518, 264, 4077, 19254, 568, 9247, 6986, 3327, 634, 3327, 10905, 609, 5135, 547, 1711, 3327, 8166, 27860, 20957, 14086, 267, 14409, 1299, 7177, 1923, 589, 639, 523, 1723, 267, 300, 261, 300, 2155, 617, 885, 11635, 20957, 3776, 8030, 616, 4867, 8600, 6272, 585, 4401, 7626, 18689, 2747, 543, 1587, 3560, 3785, 538, 513, 3309, 2039, 540, 6753, 1472, 519, 1158, 3776, 5499, 3435, 538, 4401, 7626, 723, 8507, 538, 2799, 31931, 538, 2504, 27860, 20957, 14409, 910, 5303, 16684, 902, 1107, 3131, 628, 267, 26146, 267, 14257, 476, 2918, 267, 476, 1001, 280, 5788, 11635, 20957, 14409, 910, 5303, 16684, 902, 1107, 3131, 628, 267, 26146, 17397, 676, 25115, 16370, 593, 11016, 267, 476, 2918, 4989, 476, 1001, 280, 538, 18248, 2060, 513, 1445, 593, 4543, 11635, 20957, 5561, 2087, 1587, 3446, 543, 6556, 543, 6175, 3790, 267, 938, 2029, 3435, 616, 27860, 20957, 910, 476, 272, 560, 9990, 910, 29021, 1923, 1323, 6176, 2073, 27860, 20957, 281, 25115, 9609, 267, 14409, 543, 7025, 12983, 26564, 2487, 267, 1883, 1382, 593, 519, 18572, 540, 4401, 22714, 267, 1519, 1271, 3584, 971, 607, 18689, 2747, 630, 29323, 566, 543, 17975, 1070, 4903, 331, 558, 3130, 630, 1122, 267, 2504, 540, 26005, 610, 32340, 1070, 19046, 19460, 2029, 585, 1159, 601, 1154, 267, 543, 2825, 2152, 11341, 547, 922, 2504, 454, 27839, 1540, 11635, 1744, 731, 910, 30014, 910, 4563, 19164, 18482, 476, 736, 454, 268, 1215, 547, 5136, 1555, 281, 898, 666, 581, 5833, 676, 1261, 908, 11635, 20957, 14409, 7698, 281, 11635, 20957, 630, 300, 1456, 264, 589, 9253, 1540, 11635, 1744, 731, 568, 1500, 676, 1261, 908, 13242, 607, 513, 1570, 538, 1325, 17057, 344, 543, 14958, 532, 14409, 1702, 666, 581, 9715, 676, 2810, 2549, 640, 609, 1978, 1004, 610, 11264, 513, 2372, 652, 305, 2464, 21788, 9460, 13698, 595, 298, 11635, 14086, 543, 14409, 538, 3162, 4000, 267, 305, 2464, 21788, 9460, 13698, 595, 298, 11635, 14086, 543, 14409, 538, 3162, 4000, 11905, 281, 918, 3518, 320, 11635, 20957, 267, 737, 3518, 23147, 5633, 6167, 4353, 8991, 14510, 5508, 26480, 292, 570, 32052, 9517, 312, 7419, 4353, 2464, 18952, 296, 962, 17955, 298, 4338, 288, 3040, 6167, 4353, 8991, 25492, 3951, 966, 3198, 918, 288, 4338, 4306, 4696, 10003, 4070, 1315, 6405, 5478, 9197, 5241, 7046, 8486, 5599, 568, 1031, 547, 14155, 622, 4401, 7626, 602, 568, 2673, 547, 519, 2627, 634, 1283, 31542, 568, 6569, 543, 519, 7626, 568, 12208, 274, 570, 13154, 924, 20957, 14409, 910, 2475, 16501, 267, 3519, 1417, 1674, 568, 519, 2034, 1900, 538, 512, 13154, 924, 7626, 4393, 1306, 519, 4401, 7626, 6886, 616, 5391, 23306, 676, 519, 11493, 3268, 267, 519, 4401, 24481, 5536, 1590, 581, 13671, 5221, 1152, 827, 476, 3451, 2600, 540, 519, 19020, 512, 13154, 924, 3587, 513, 695, 2089, 762, 1587, 585, 4401, 1818, 267, 513, 1804, 2179, 540, 14228, 826, 568, 6383, 3682, 22422, 1923, 20858, 10830, 267, 300, 710, 4393, 20858, 10830, 779, 3483, 3710, 267, 1158, 1362, 9553, 4393, 2030, 3351, 2478, 1970, 1981, 267, 8810, 2029, 547, 1184, 476, 4649, 300, 339, 11985, 630, 310, 564, 264, 540, 26686, 543, 22717, 4401, 7626, 543, 568, 519, 4102, 2582, 3049, 4393, 2030, 538, 519, 15815, 321, 4673, 3148, 27860, 20957, 1923, 3163, 17445, 267, 303, 1137, 476, 29616, 268, 24783, 17593, 634, 4393, 540, 4401, 7626, 3340, 2168, 3157, 602, 948, 2327, 598, 4146, 547, 521, 1944, 16551, 543, 1141, 2838, 948, 519, 7626, 3035, 3446, 9072, 634, 521, 1944, 9668, 540, 4401, 7626, 568, 6913, 998, 519, 862, 514, 1081, 12749, 11635, 20957, 21277, 1424, 18831, 769, 634, 2622, 910, 2622, 4263, 20393, 267, 14257, 476, 1839, 267, 476, 1001, 278, 5788, 14409, 543, 21964, 540, 11635, 20957, 4495, 4401, 7626, 4422, 998, 930, 4393, 267, 519, 25183, 5374, 5833, 689, 519, 7677, 2167, 616, 5293, 998, 524, 7539, 543, 9927, 883, 1793, 11274, 267, 536, 4068, 1206, 267, 543, 18742, 5445, 1106, 519, 3119, 5374, 2472, 799, 666, 581, 9268, 883, 1585, 8737, 2472, 1210, 4411, 543, 3905, 12902, 5773, 15394, 267, 519, 1793, 11274, 616, 18202, 547, 1106, 6366, 8737, 2472, 267, 543, 763, 2825, 5222, 540, 4401, 7626, 281, 21722, 513, 2073, 763, 4611, 1239, 6227, 1312, 1463, 5222, 630, 15263, 264, 543, 25318, 5829, 5222, 1519, 1648, 2504, 634, 3301, 2203, 729, 2966, 547, 581, 556, 268, 4310, 543, 2919, 585, 824, 13502, 547, 948, 1628, 513, 29488, 4879, 585, 519, 2754, 779, 3003, 4401, 7626, 4238, 763, 26257, 3763, 906, 538, 11635, 20957, 14409, 267, 1700, 31088, 476, 7785, 339, 10774, 561, 17056, 4401, 7626, 3040, 667, 5960, 20676, 821, 1107, 18744, 910, 277, 7825, 1570, 585, 4401, 7626, 1107, 11740, 7825, 8006, 7814, 821, 1107, 31088, 476, 2412, 339, 10774, 829, 7814, 821, 3040, 700, 2117, 617, 2114, 1107, 268, 3445, 266, 277, 7825, 10007, 1107, 1321, 332, 8006, 1107, 23330, 908, 4390, 540, 476, 7785, 268, 8517, 339, 10774, 1107, 292, 2310, 9668, 693, 590, 294, 779, 607, 1164, 607, 476, 6078, 326, 30763, 274, 667, 1619, 9012, 9484, 9653, 593, 11635, 20957, 3040, 23463, 0, 19111, 5549, 1211, 476, 272, 454, 763, 2836, 600, 885, 540, 3117, 7185, 454, 2691, 621, 568, 942, 585, 2516, 547, 3914, 513, 3375, 267, 1082, 2490, 547, 13618, 269, 3117, 7185, 267, 513, 3510, 540, 454, 698, 872, 618, 267, 4667, 899, 513, 1434, 2856, 269, 1677, 3035, 13618, 267, 2516, 1590, 28111, 543, 454, 322, 3326, 1987, 622, 267, 799, 6038, 786, 3132, 2362, 2157, 540, 23274, 543, 3972, 269, 769, 1840, 267, 952, 454, 22336, 821, 23216, 267, 1287, 519, 17888, 7326, 568, 602, 3025, 786, 581, 811, 8149, 547, 519, 454, 4913, 267, 972, 616, 2053, 950, 519, 991, 585, 13618, 666, 581, 17672, 547, 1895, 8647, 563, 13706, 519, 2487, 968, 325, 14166, 29384, 892, 5185, 676, 519, 772, 2529, 269, 2229, 4724, 519, 1439, 540, 476, 1001, 273, 269, 634, 454, 19669, 5600, 543, 6837, 2877, 547, 3914, 513, 4308, 602, 1131, 2569, 519, 11926, 6578, 17211, 563, 4913, 267, 1082, 25743, 543, 24273, 12758, 547, 741, 5428, 3515, 267, 32222, 547, 14207, 563, 6624, 9763, 519, 1439, 1587, 602, 6913, 13618, 607, 513, 1447, 982, 6099, 3070, 269, 634, 1857, 454, 326, 1511, 6837, 606, 13170, 12773, 540, 1152, 476, 1724, 2600, 267, 11589, 17140, 609, 519, 3668, 540, 0, 30210, 23837, 2160, 31955, 540, 16711, 301, 7838, 476, 21497, 27284, 10341, 585, 16711, 6657, 10998, 4041, 311, 5999, 2467, 786, 581, 2055, 8655, 689, 715, 1872, 550, 1299, 966, 1388, 324, 2947, 2053, 267, 547, 581, 11643, 593, 519, 1813, 7389, 7396, 593, 1576, 11706, 269, 1280, 713, 7084, 1053, 616, 4397, 547, 1264, 339, 9220, 8655, 12135, 4041, 311, 2511, 2055, 676, 16460, 519, 2055, 543, 1287, 1121, 18957, 676, 21249, 741, 960, 269, 1280, 1142, 14406, 2243, 267, 1053, 786, 2328, 270, 6943, 513, 24117, 585, 2953, 2626, 1210, 1152, 835, 2347, 4845, 630, 5408, 1383, 593, 29851, 1040, 769, 519, 12691, 2680, 602, 782, 2055, 616, 12943, 7157, 267, 3442, 519, 8946, 12767, 7474, 941, 1034, 2352, 543, 798, 519, 1482, 269, 12135, 4041, 311, 2055, 786, 10691, 581, 7608, 3735, 269, 3962, 17142, 630, 4621, 12371, 540, 2789, 11271, 264, 568, 4502, 476, 736, 2798, 269, 634, 6780, 1590, 581, 2347, 543, 11643, 593, 942, 267, 547, 519, 3617, 1747, 593, 4563, 4580, 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 ]
[ 274, 543, 5106, 2652, 25962, 543, 1297, 273, 2652, 476, 1691, 912, 13537, 2891, 274, 266, 1691, 815, 476, 1704, 5602, 604, 1297, 272, 2652, 476, 274, 543, 5106, 2652, 25962, 543, 1297, 273, 2652, 476, 1428, 912, 13537, 2891, 274, 266, 1428, 815, 476, 1240, 5602, 604, 1297, 272, 2652, 476, 274, 543, 5106, 2652, 25962, 543, 1297, 273, 2652, 476, 1626, 912, 13537, 2891, 274, 266, 1626, 815, 476, 866, 5602, 604, 1297, 272, 2652, 476, 274, 543, 5106, 2652, 25962, 543, 1297, 273, 2652, 476, 1704, 912, 13537, 2891, 274, 266, 1704, 815, 476, 736, 5602, 604, 1297, 272, 2652, 476, 274, 543, 5106, 2652, 25962, 543, 1297, 273, 2652, 476, 1240, 912, 13537, 2891, 274, 266, 1240, 815, 476, 2641, 5602, 604, 1297, 272, 2652, 476, 274, 543, 5106, 2652, 25962, 543, 1297, 273, 2652, 476, 866, 912, 13537, 2891, 274, 266, 866, 815, 476, 2420, 5602, 604, 1297, 272, 2652, 476, 274, 543, 5106, 2652, 25962, 543, 1297, 273, 2652, 476, 736, 912, 13537, 2891, 274, 266, 736, 815, 476, 2537, 5602, 604, 1297, 272, 2652, 476, 274, 543, 5106, 2652, 25962, 543, 1297, 273, 2652, 476, 2641, 912, 13537, 2891, 274, 266, 2641, 815, 476, 2190, 5602, 604, 1297, 272, 2652, 476, 274, 543, 5106, 2652, 25962, 543, 1297, 273, 2652, 476, 2420, 912, 13537, 2891, 274, 266, 2420, 815, 476, 1839, 5602, 604, 1297, 272, 2652, 476, 274, 543, 5106, 2652, 25962, 543, 1297, 273, 2652, 476, 2537, 912, 13537, 2891, 274, 266, 2537, 815, 476, 2918, 5602, 604, 1297, 272, 2652, 476, 274, 543, 5106, 2652, 25962, 543, 1297, 273, 2652, 476, 2190, 912, 13537, 2891, 274, 266, 2190, 815, 476, 2767, 5602, 604, 1297, 272, 2652, 476, 274, 543, 5106, 2652, 25962, 543, 1297, 273, 2652, 476, 1839, 912, 13537, 2891, 274, 266, 1839, 815, 476, 2764, 5602, 604, 1297, 272, 2652, 476, 274, 543, 5106, 2652, 25962, 543, 1297, 273, 2652, 476, 2918, 912, 13537, 2891, 274, 266, 2918, 815, 476, 3066, 5602, 604, 1297, 272, 2652, 476, 274, 543, 5106, 2652, 25962, 543, 1297, 273, 2652, 476, 2767, 912, 13537, 2891, 274, 266, 2767, 815, 476, 1789, 5602, 604, 1297, 272, 2652, 476, 274, 543, 5106, 2652, 25962, 543, 1297, 273, 2652, 476, 2764, 912, 13537, 2891, 274, 266, 2764, 815, 476, 4029, 5602, 604, 1297, 272, 2652, 476, 274, 543, 5106, 2652, 25962, 543, 1297, 273, 2652, 476, 3066, 912, 13537, 2891, 274, 266, 3066, 815, 476, 3953, 5602, 604, 1297, 272, 2652, 476, 274, 543, 5106, 2652, 25962, 543, 1297, 273, 2652, 476, 1789, 912, 13537, 2891, 274, 266, 1789, 815, 476, 3451, 5602, 604, 1297, 272, 2652, 476, 274, 543, 5106, 2652, 25962, 543, 1297, 273, 2652, 476, 4029, 912, 13537, 2891, 274, 266, 4029, 815, 476, 4097, 5602, 604, 1297, 272, 2652, 476, 274, 543, 5106, 2652, 25962, 543, 1297, 273, 2652, 476, 3953, 912, 13537, 2891, 274, 266, 3953, 815, 476, 3374, 5602, 604, 1297, 272, 2652, 476, 274, 543, 5106, 2652, 25962, 543, 1297, 273, 2652, 476, 3451, 912, 13537, 2891, 274, 266, 3451, 815, 476, 3607, 5602, 604, 1297, 272, 2652, 476, 274, 543, 5106, 2652, 25962, 543, 1297, 273, 2652, 476, 4097, 912, 13537, 2891, 274, 266, 4097, 815, 476, 4391, 5602, 604, 1297, 272, 2652, 476, 274, 543, 5106, 2652, 25962, 543, 1297, 273, 2652, 476, 3374, 912, 13537, 2891, 274, 266, 3374, 815, 476, 4343, 5602, 604, 1297, 272, 2652, 476, 274, 543, 5106, 2652, 25962, 543, 1297, 273, 2652, 476, 3607, 912, 13537, 2891, 274, 266, 3607, 815, 476, 4375, 5602, 604, 1297, 272, 2652, 476, 274, 543, 5106, 2652, 25962, 543, 1297, 273, 2652, 476, 4391, 912, 13537, 2891, 274, 266, 4391, 815, 476, 2412, 5602, 604, 1297, 272, 2652, 476, 274, 543, 5106, 2652, 25962, 543, 1297, 273, 2652, 476, 4343, 912, 13537, 2891, 274, 266, 4343, 815, 476, 6078, 5602, 604, 1297, 272, 2652, 476, 274, 543, 5106, 2652, 25962, 543, 1297, 273, 2652, 476, 4375, 912, 13537, 2891, 274, 266, 4375, 815, 476, 5655, 5602, 604, 1297, 272, 2652, 476, 274, 543, 5106, 2652, 25962, 543, 1297, 273, 2652, 476, 2412, 912, 13537, 2891, 274, 266, 2412, 815, 476, 6246, 5602, 604, 1297, 272, 2652, 476, 274, 543, 5106, 2652, 25962, 543, 1297, 273, 2652, 476, 6078, 912, 13537, 2891, 274, 266, 6078, 815, 476, 4510, 5602, 604, 1297, 272, 2652, 476, 274, 543, 5106, 2652, 25962, 543, 1297, 273, 2652, 476, 5655, 912, 13537, 2891, 274, 266, 5655, 815, 476, 3393, 5602, 604, 1297, 272, 2652, 476, 274, 543, 5106, 2652, 25962, 543, 1297, 273, 2652, 476, 6246, 912, 13537, 2891, 274, 266, 6246, 815, 476, 5379, 5602, 604, 1297, 272, 2652, 476, 274, 543, 5106, 2652, 25962, 543, 1297, 273, 2652, 476, 4510, 912, 13537, 2891, 274, 266, 4510, 815, 476, 5325, 5602, 604, 1297, 272, 2652, 476, 274, 543, 5106, 2652, 25962, 543, 1297, 273, 2652, 476, 3393, 912, 13537, 2891, 274, 266, 3393, 815, 476, 4366, 5602, 604, 1297, 272, 2652, 476, 274, 543, 5106, 2652, 25962, 543, 1297, 273, 2652, 476, 5379, 912, 13537, 2891, 274, 266, 5379, 815, 476, 5392, 5602, 604, 1297, 272, 2652, 476, 274, 543, 5106, 2652, 25962, 543, 1297, 273, 2652, 476, 5325, 912, 13537, 2891, 274, 266, 5325, 815, 476, 2004, 5602, 604, 1297, 272, 2652, 476, 274, 543, 5106, 2652, 25962, 543, 1297, 273, 2652, 476, 4366, 912, 13537, 2891, 274, 266, 4366, 815, 476, 7906, 5602, 604, 1297, 272, 2652, 476, 274, 543, 5106, 2652, 25962, 543, 1297, 273, 2652, 476, 5392, 912, 13537, 2891, 274, 266, 5392, 815, 476, 7367, 5602, 604, 1297, 272, 2652, 476, 274, 543, 5106, 2652, 25962, 543, 1297, 273, 2652, 476, 2004, 912, 13537, 2891, 274, 266, 2004, 815, 476, 7871, 5602, 604, 1297, 272, 2652, 476, 275, 543, 5106, 2652, 25962, 543, 1297, 273, 2652, 476, 271, 912, 13537, 2891, 275, 266, 271, 815, 476, 275, 5602, 604, 1297, 272, 2652, 476, 275, 543, 5106, 2652, 25962, 543, 1297, 273, 2652, 476, 272, 912, 13537, 2891, 275, 266, 272, 815, 476, 276, 5602, 604, 1297, 272, 2652, 476, 275, 543, 5106, 2652, 25962, 543, 1297, 273, 2652, 476, 273, 912, 13537, 2891, 275, 266, 273, 815, 476, 277, 5602, 604, 1297, 272, 2652, 476, 275, 543, 5106, 2652, 25962, 543, 1297, 273, 2652, 476, 274, 912, 13537, 2891, 275, 266, 274, 815, 476, 278, 5602, 604, 1297, 272, 2652, 476, 275, 543, 5106, 2652, 25962, 543, 1297, 273, 2652, 476, 275, 912, 13537, 2891, 275, 266, 275, 815, 476, 279, 5602, 604, 1297, 272, 2652, 476, 275, 543, 5106, 2652, 25962, 543, 1297, 273, 2652, 476, 276, 912, 13537, 2891, 275, 266, 276, 815, 476, 280, 5602, 604, 1297, 272, 2652, 476, 275, 543, 5106, 2652, 25962, 543, 1297, 273, 2652, 476, 277, 912, 13537, 2891, 275, 266, 277, 815, 476, 1015, 5602, 604, 1297, 272, 2652, 476, 275, 543, 5106, 2652, 25962, 543, 1297, 273, 2652, 476, 278, 912, 13537, 2891, 275, 266, 278, 815, 476, 1556, 5602, 604, 1297, 272, 2652, 476, 275, 543, 5106, 2652, 25962, 543, 1297, 273, 2652, 476, 279, 912, 13537, 2891, 275, 266, 279, 815, 476, 1321, 5602, 604, 1297, 272, 2652, 476, 275, 543, 5106, 2652, 25962, 543, 1297, 273, 2652, 476, 280, 912, 13537, 2891, 275, 266, 280, 815, 476, 1724, 5602, 604, 1297, 272, 2652, 476, 275, 543, 5106, 2652, 25962, 543, 1297, 273, 2652, 476, 1015, 912, 13537, 2891, 275, 266, 1015, 815, 476, 1691, 5602, 604, 1297, 272, 2652, 476, 275, 543, 5106, 2652, 25962, 543, 1297, 273, 2652, 476, 1556, 912, 13537, 2891, 275, 266, 1556, 815, 476, 1428, 5602, 604, 1297, 272, 2652, 476, 275, 543, 5106, 2652, 25962, 543, 1297, 273, 2652, 476, 1321, 912, 13537, 2891, 275, 266, 1321, 815, 476, 1626, 5602, 604, 1297, 272, 2652, 476, 275, 543, 5106, 2652, 25962, 543, 1297, 273, 2652, 476, 1724, 912, 13537, 2891, 275, 266, 1724, 815, 476, 1704, 5602, 604, 1297, 272, 2652, 476, 275, 543, 5106, 2652, 25962, 543, 1297, 273, 2652, 476, 1691, 912, 13537, 2891, 275, 266, 1691, 815, 476, 1240, 5602, 604, 1297, 272, 2652, 476, 275, 543, 5106, 2652, 25962, 543, 1297, 273, 2652, 476, 1428, 912, 13537, 2891, 275, 266, 1428, 815, 476, 866, 5602, 604, 1297, 272, 2652, 476, 275, 543, 5106, 2652, 25962, 543, 1297, 273, 2652, 476, 1626, 912, 13537, 2891, 275, 266, 1626, 815, 476, 736, 5602, 604, 1297, 272, 2652, 476, 275, 543, 5106, 2652, 25962, 543, 1297, 273, 2652, 476, 1704, 912, 13537, 2891, 275, 266, 1704, 815, 476, 2641, 5602, 604, 1297, 272, 2652, 476, 275, 543, 5106, 2652, 25962, 543, 1297, 273, 2652, 476, 1240, 912, 13537, 2891, 275, 266, 1240, 815, 476, 2420, 5602, 604, 1297, 272, 2652, 476, 275, 543, 5106, 2652, 25962, 543, 1297, 273, 2652, 476, 866, 912, 13537, 2891, 275, 266, 866, 815, 476, 2537, 5602, 604, 1297, 272, 2652, 476, 275, 543, 5106, 2652, 25962, 543, 1297, 273, 2652, 476, 736, 912, 13537, 2891, 275, 266, 736, 815, 476, 2190, 5602, 604, 1297, 272, 2652, 476, 275, 543, 5106, 2652, 25962, 543, 1297, 273, 2652, 476, 2641, 912, 13537, 2891, 275, 266, 2641, 815, 476, 1839, 5602, 604, 1297, 272, 2652, 476, 275, 543, 5106, 2652, 25962, 543, 1297, 273, 2652, 476, 2420, 912, 13537, 2891, 275, 266, 2420, 815, 476, 2918, 5602, 604, 1297, 272, 2652, 476, 275, 543, 5106, 2652, 25962, 543, 1297, 273, 2652, 476, 2537, 912, 13537, 2891, 275, 266, 2537, 815, 476, 2767, 5602, 604, 1297, 272, 2652, 476, 275, 543, 5106, 2652, 25962, 543, 1297, 273, 2652, 476, 2190, 912, 13537, 2891, 275, 266, 2190, 815, 476, 2764, 5602, 604, 1297, 272, 2652, 476, 275, 543, 5106, 2652, 25962, 543, 1297, 273, 2652, 476, 1839, 912, 13537, 2891, 275, 266, 1839, 815, 476, 3066, 5602, 604, 1297, 272, 2652, 476, 275, 543, 5106, 2652, 25962, 543, 1297, 273, 2652, 476, 2918, 912, 13537, 2891, 275, 266, 2918, 815, 476, 1789, 5602, 604, 1297, 272, 2652, 476, 275, 543, 5106, 2652, 25962, 543, 1297, 273, 2652, 476, 2767, 912, 13537, 2891, 275, 266, 2767, 815, 476, 4029, 5602, 604, 1297, 272, 2652, 476, 275, 543, 5106, 2652, 25962, 543, 1297, 273, 2652, 476, 2764, 912, 13537, 2891, 275, 266, 2764, 815, 476, 3953, 5602, 604, 1297, 272, 2652, 476, 275, 543, 5106, 2652, 25962, 543, 1297, 273, 2652, 476, 3066, 912, 13537, 2891, 275, 266, 3066, 815, 476, 3451, 5602, 604, 1297, 272, 2652, 476, 275, 543, 5106, 2652, 25962, 543, 1297, 273, 2652, 476, 1789, 912, 13537, 2891, 275, 266, 1789, 815, 476, 4097, 5602, 604, 1297, 272, 2652, 476, 275, 543, 5106, 2652, 25962, 543, 1297, 273, 2652, 476, 4029, 912, 13537, 2891, 275, 266, 4029, 815, 476, 3374, 5602, 604, 1297, 272, 2652, 476, 275, 543, 5106, 2652, 25962, 543, 1297, 273, 2652, 476, 3953, 912, 13537, 2891, 275, 266, 3953, 815, 476, 3607, 5602, 604, 1297, 272, 2652, 476, 275, 543, 5106, 2652, 25962, 543, 1297, 273, 2652, 476, 3451, 912, 13537, 2891, 275, 266, 3451, 815, 476, 4391, 5602, 604, 1297, 272, 2652, 476, 275, 543, 5106, 2652, 25962, 543, 1297, 273, 2652, 476, 4097, 912, 13537, 2891, 275, 266, 4097, 815, 476, 4343, 5602, 604, 1297, 272, 2652, 476, 275, 543, 5106, 2652, 25962, 543, 1297, 273, 2652, 476, 3374, 912, 13537, 2891, 275, 266, 3374, 815, 476, 4375, 5602, 604, 1297, 272, 2652, 476, 275, 543, 5106, 2652, 25962, 543, 1297, 273, 2652, 476, 3607, 912, 13537, 2891, 275, 266, 3607, 815, 476, 2412, 5602, 604, 1297, 272, 2652, 476, 275, 543, 5106, 2652, 25962, 543, 1297, 273, 2652, 476, 4391, 912, 13537, 2891, 275, 266, 4391, 815, 476, 6078, 5602, 604, 1297, 272, 2652, 476, 275, 543, 5106, 2652, 25962, 543, 1297, 273, 2652, 476, 4343, 912, 13537, 2891, 275, 266, 4343, 815, 476, 5655, 5602, 604, 1297, 272, 2652, 476, 275, 543, 5106, 2652, 25962, 543, 1297, 273, 2652, 476, 4375, 912, 13537, 2891, 275, 266, 4375, 815, 476, 6246, 5602, 604, 1297, 272, 2652, 476, 275, 543, 5106, 2652, 25962, 543, 1297, 273, 2652, 476, 2412, 912, 13537, 2891, 275, 266, 2412, 815, 476, 4510, 5602, 604, 1297, 272, 2652, 476, 275, 543, 5106, 2652, 25962, 543, 1297, 273, 2652, 476, 6078, 912, 13537, 2891, 275, 266, 6078, 815, 476, 3393 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2556, 585, 519, 834, 7774, 257, 540, 519, 7929, 5832, 269, 634, 5624, 602, 616, 2813, 676, 519, 26642, 540, 519, 6418, 9245, 2509, 519, 9018, 9245, 616, 1634, 607, 1835, 626, 2801, 543, 17108, 519, 10307, 540, 519, 7929, 5832, 563, 763, 1835, 626, 2801, 616, 4988, 609, 6263, 4703, 609, 513, 8006, 540, 476, 279, 269, 276, 16354, 267, 799, 616, 1634, 607, 674, 272, 5536, 610, 21085, 5348, 628, 848, 5536, 543, 1404, 513, 1909, 538, 21085, 10282, 269, 6271, 1826, 540, 26503, 568, 1572, 519, 8685, 2544, 1826, 267, 799, 568, 1336, 538, 2281, 602, 30075, 32104, 10399, 269, 634, 3875, 8685, 2737, 4196, 519, 16496, 3560, 540, 6878, 563, 3080, 540, 519, 1034, 1271, 3252, 543, 4247, 540, 519, 26503, 568, 519, 10282, 540, 20722, 27343, 2468, 874, 24043, 630, 2969, 303, 264, 543, 519, 5305, 540, 519, 21085, 883, 519, 10408, 5119, 267, 519, 9703, 540, 519, 1591, 3544, 519, 26503, 269, 769, 513, 1950, 5832, 540, 6547, 267, 519, 1648, 5833, 3842, 10776, 21154, 6417, 16617, 3157, 568, 6740, 13713, 538, 519, 1106, 540, 21085, 543, 1500, 2139, 547, 519, 2281, 269, 634, 7929, 5832, 14405, 593, 10894, 2472, 540, 519, 865, 10777, 3632, 878, 3679, 4783, 910, 849, 3957, 918, 516, 2125, 4783, 1310, 519, 1167, 913, 17243, 17713, 589, 269, 918, 516, 2125, 563, 763, 10307, 540, 519, 918, 516, 2125, 4783, 3217, 1747, 538, 519, 5119, 540, 519, 26503, 267, 1775, 4318, 269, 1369, 519, 2230, 602, 568, 6806, 1055, 676, 519, 6418, 9245, 269, 634, 26503, 616, 849, 3238, 538, 513, 851, 540, 519, 579, 16699, 4783, 602, 3217, 1747, 14356, 1369, 519, 24197, 5119, 543, 14356, 538, 519, 11118, 657, 565, 540, 519, 1591, 269, 634, 579, 16699, 4783, 568, 1031, 547, 4894, 9436, 25202, 12159, 2472, 971, 269, 645, 269, 547, 6460, 3940, 25202, 1426, 547, 579, 16699, 543, 608, 4740, 621, 998, 519, 14401, 269, 14600, 13578, 6319, 616, 849, 3238, 538, 519, 1184, 540, 6417, 1591, 2669, 267, 610, 30091, 563, 2005, 568, 513, 2186, 540, 1582, 1673, 652, 2315, 540, 519, 1591, 609, 1931, 569, 12871, 540, 519, 15059, 2472, 269, 7442, 9953, 2670, 666, 552, 3052, 269, 645, 269, 581, 834, 12252, 539, 257, 676, 519, 4761, 1062, 950, 3978, 12889, 610, 5563, 616, 9571, 538, 1931, 547, 2061, 3441, 543, 5906, 3871, 585, 519, 3003, 11248, 269, 14600, 13578, 6319, 723, 519, 2702, 547, 1491, 909, 7513, 12274, 543, 1118, 873, 2139, 547, 519, 1591, 950, 2838, 269, 1358, 1489, 519, 1271, 1599, 540, 7513, 27921, 538, 519, 1591, 563, 5194, 1271, 1599, 540, 519, 26503, 568, 519, 10282, 540, 4401, 1606, 5285, 584, 13421, 267, 799, 616, 2556, 585, 3875, 11476, 585, 519, 29512, 1852, 540, 519, 7929, 5832, 269, 634, 10282, 540, 519, 4401, 1606, 5285, 584, 13421, 568, 711, 32118, 267, 865, 602, 621, 568, 606, 1898, 3761, 585, 782, 2281, 267, 799, 666, 1152, 581, 3177, 676, 519, 26503, 563, 300, 527, 13578, 686, 13771, 625, 267, 23659, 17313, 610, 4713, 540, 519, 24197, 10894, 3157, 5097, 723, 513, 4617, 2287, 1198, 593, 519, 2773, 540, 519, 1560, 1813, 547, 519, 4389, 10282, 540, 21085, 563, 15368, 1227, 267, 24197, 2068, 666, 581, 1813, 547, 15110, 4719, 12889, 610, 621, 729, 9715, 538, 519, 1576, 540, 1272, 269, 21733, 1600, 24197, 3676, 616, 5097, 2404, 609, 31895, 17654, 3676, 971, 607, 12216, 781, 2068, 267, 19576, 781, 2068, 543, 9338, 306, 267, 855, 849, 609, 3987, 22577, 267, 8377, 267, 9025, 3676, 543, 1978, 2010, 540, 2860, 563, 1103, 615, 1243, 24197, 3676, 1397, 513, 2647, 3099, 540, 19183, 267, 4470, 593, 1141, 538, 519, 10894, 22107, 1228, 519, 4719, 8919, 5540, 269, 1403, 267, 1813, 547, 4719, 12889, 1369, 519, 7929, 5832, 610, 519, 3632, 878, 3679, 4783, 267, 1978, 11476, 616, 711, 2139, 602, 616, 1152, 2838, 585, 1978, 1560, 8031, 267, 2589, 1152, 2049, 538, 519, 7222, 8219, 563, 18814, 547, 519, 3099, 540, 2589, 602, 513, 24197, 5444, 8919, 666, 2014, 267, 5868, 568, 711, 2653, 269, 4595, 519, 3632, 878, 3679, 4783, 568, 2356, 849, 4299, 267, 519, 7510, 22201, 622, 968, 28265, 338, 909, 5608, 799, 519, 1560, 13290, 547, 2736, 1524, 3842, 519, 4244, 8905, 547, 14915, 622, 267, 865, 602, 513, 7494, 2799, 561, 12519, 3679, 5834, 267, 513, 561, 12519, 3679, 2670, 267, 4386, 269, 0, 20091, 3018, 476, 4029, 269, 1284, 723, 4121, 513, 1390, 4308, 689, 5042, 2257, 282, 17133, 568, 513, 2629, 5057, 538, 2542, 269, 11512, 519, 21229, 12185, 6240, 267, 28203, 3069, 267, 543, 1558, 659, 10744, 607, 789, 9305, 547, 1565, 547, 1224, 269, 273, 269, 24718, 543, 4334, 519, 5377, 5346, 6437, 543, 519, 1283, 16365, 6437, 4485, 269, 9181, 519, 14292, 6859, 267, 2326, 267, 1565, 1604, 267, 14292, 2994, 267, 543, 4879, 585, 1142, 1935, 269, 3657, 789, 2147, 538, 1022, 1259, 888, 268, 10432, 476, 276, 4901, 2243, 1923, 10911, 297, 476, 23283, 1107, 22518, 26488, 1923, 853, 2001, 518, 2160, 454, 268, 476, 273, 2985, 8086, 1957, 543, 2626, 476, 275, 2110, 2055, 454, 268, 27387, 539, 4901, 281, 1018, 616, 2947, 7592, 602, 1169, 2319, 1058, 723, 454, 268, 19648, 281, 581, 2386, 547, 4688, 606, 5907, 5299, 540, 707, 2626, 1354, 454, 268, 631, 15590, 476, 277, 4649, 272, 1770, 13797, 32029, 6881, 0, 28257, 14180, 15906, 8294, 14180, 27755, 28405, 8294, 12022, 20901, 1496, 12626, 2639, 763, 1967, 540, 519, 3919, 538, 8236, 519, 3853, 5673, 593, 875, 2359, 2853, 543, 2500, 31707, 5718, 6163, 269, 20871, 540, 782, 7306, 991, 2500, 5718, 547, 7639, 267, 543, 3906, 609, 2500, 3401, 4043, 547, 3048, 622, 267, 4431, 547, 2242, 538, 6990, 543, 5054, 267, 4431, 21176, 547, 2591, 267, 543, 2226, 1164, 2773, 269, 2201, 519, 824, 1688, 267, 519, 3668, 540, 2500, 5718, 814, 513, 1713, 1764, 593, 519, 3919, 781, 2702, 547, 2936, 543, 19597, 622, 7580, 7341, 269, 634, 1292, 3483, 540, 713, 1353, 568, 547, 2697, 519, 10721, 2188, 7133, 519, 1646, 540, 2500, 5718, 602, 616, 4843, 538, 519, 1106, 540, 513, 7293, 17942, 13133, 633, 2203, 269, 769, 713, 1382, 267, 1101, 676, 17265, 519, 1382, 3332, 543, 849, 1210, 1543, 2079, 267, 519, 1292, 2188, 7133, 519, 1646, 540, 2500, 5718, 941, 4857, 543, 538, 519, 1985, 1900, 267, 7293, 17942, 13133, 633, 9781, 540, 3347, 1063, 2609, 729, 9916, 269, 634, 2164, 4951, 602, 513, 2698, 540, 476, 276, 4857, 2609, 616, 4092, 693, 1614, 2157, 543, 2170, 609, 1142, 824, 269, 2311, 519, 3119, 1377, 543, 519, 5207, 1377, 540, 829, 24632, 1983, 267, 693, 519, 2034, 1377, 1614, 2188, 282, 31044, 7580, 2359, 267, 2825, 2079, 543, 10721, 2497, 616, 849, 6098, 693, 519, 3791, 1377, 563, 3080, 540, 519, 1655, 2081, 585, 3906, 547, 1332, 2221, 568, 547, 1020, 741, 3401, 630, 295, 24175, 1696, 620, 1421, 476, 1001, 278, 1040, 26597, 2090, 723, 4857, 5718, 1646, 607, 513, 4105, 543, 7580, 1935, 547, 519, 6668, 540, 3906, 538, 513, 4657, 1158, 269, 1703, 568, 2178, 2963, 602, 5718, 1646, 3292, 1860, 519, 1702, 267, 10182, 267, 543, 2623, 540, 9946, 269, 15557, 1646, 3292, 3335, 1020, 513, 3099, 540, 5266, 1644, 5759, 610, 1983, 267, 971, 607, 5042, 267, 14375, 267, 1870, 267, 543, 7580, 1983, 630, 4537, 1177, 1696, 620, 1421, 476, 1001, 278, 1040, 15557, 1646, 568, 606, 1271, 2460, 540, 10721, 1646, 543, 1565, 269, 2201, 513, 2518, 4336, 267, 5718, 1646, 568, 513, 1617, 756, 11669, 1673, 20683, 2872, 269, 2755, 519, 3390, 540, 5718, 814, 1044, 14916, 6594, 543, 21503, 936, 519, 2063, 3368, 2540, 267, 2370, 3007, 814, 1044, 6976, 547, 519, 1646, 540, 5718, 269, 769, 1249, 267, 3173, 3622, 798, 711, 1294, 519, 2556, 3017, 1063, 5718, 543, 5718, 1646, 267, 543, 891, 1079, 2152, 616, 3006, 2808, 24190, 630, 9802, 320, 267, 476, 1001, 275, 1040, 1306, 513, 1267, 267, 2348, 513, 17396, 3621, 2203, 543, 5943, 585, 3384, 2500, 5718, 269, 769, 1931, 547, 3082, 519, 5718, 1935, 547, 519, 4170, 1759, 593, 6849, 519, 4835, 543, 5007, 2591, 540, 519, 3919, 630, 553, 5018, 1657, 264, 607, 1134, 607, 3483, 995, 543, 9836, 2866, 540, 5520, 5827, 540, 5078, 5718, 26022, 267, 972, 568, 513, 1390, 991, 269, 769, 513, 1804, 851, 540, 519, 1686, 540, 1382, 1644, 547, 5718, 1646, 267, 713, 7121, 568, 2808, 607, 513, 7580, 267, 1271, 543, 2556, 3364, 585, 3906, 267, 799, 568, 2810, 538, 2956, 1554, 676, 1554, 543, 568, 1759, 593, 519, 3409, 602, 3906, 602, 3343, 6668, 543, 1967, 538, 1870, 1604, 1358, 616, 26093, 543, 3810, 8013, 2221, 267, 789, 723, 547, 1020, 5718, 693, 782, 2157, 269, 589, 6205, 3112, 581, 10114, 3293, 676, 2069, 4805, 269, 25833, 4247, 786, 711, 581, 3811, 538, 2866, 3401, 1510, 18006, 543, 4876, 4058, 269, 19750, 543, 23913, 1565, 786, 711, 581, 1360, 3730, 952, 789, 616, 711, 538, 1899, 609, 519, 7580, 13485, 540, 519, 3919, 269, 2201, 519, 824, 1688, 267, 519, 3811, 6388, 540, 5718, 1646, 3292, 7361, 5673, 593, 519, 4674, 267, 1489, 267, 7029, 543, 3742, 7589, 540, 1647, 9946, 267, 519, 1292, 2359, 2319, 543, 519, 16628, 540, 3549, 269, 4475, 267, 538, 519, 1459, 1353, 267, 1310, 513, 3102, 2689, 540, 519, 7811, 13210, 540, 519, 1641, 543, 17265, 782, 4540, 3631, 538, 519, 2361, 540, 5718, 1646, 538, 3906, 267, 649, 3343, 547, 1374, 513, 2203, 602, 568, 3617, 543, 3617, 547, 4835, 543, 5007, 4170, 538, 519, 2796, 540, 14051, 543, 1644, 16839, 269, 3204, 8973, 519, 2956, 543, 1909, 540, 5718, 1646, 3292, 267, 621, 1058, 581, 7074, 602, 621, 568, 2352, 547, 3970, 621, 547, 513, 1906, 8847, 269, 2290, 540, 519, 1034, 4749, 2938, 3584, 538, 519, 1554, 3562, 6377, 1543, 568, 602, 2883, 543, 3854, 2359, 2645, 723, 1044, 519, 1445, 540, 9946, 585, 3592, 476, 2004, 1296, 585, 4264, 5413, 543, 2208, 267, 855, 2487, 2804, 16839, 723, 19230, 9946, 540, 713, 269, 29760, 593, 2883, 14573, 568, 711, 607, 3608, 607, 621, 1031, 547, 581, 547, 3035, 513, 9434, 5413, 267, 543, 519, 1152, 4781, 2451, 568, 547, 1445, 593, 5883, 13007, 543, 1480, 3854, 269, 589, 1713, 6712, 540, 519, 10529, 693, 519, 476, 277, 628, 8834, 667, 745, 14982, 2622, 17341, 17072, 3494, 602, 519, 1034, 1271, 1689, 602, 786, 1860, 9946, 538, 519, 4947, 1296, 568, 519, 32033, 1909, 540, 2883, 3854, 543, 519, 3395, 1909, 540, 1480, 3854, 269, 30052, 267, 891, 7835, 786, 5031, 519, 4567, 543, 2956, 540, 13007, 1646, 543, 5718, 1646, 3292, 563, 1607, 1382, 814, 1044, 5342, 1851, 519, 9972, 9946, 540, 519, 4676, 1695, 7813, 540, 519, 2197, 269, 634, 9946, 5697, 585, 519, 1459, 1353, 782, 723, 513, 1686, 540, 5718, 538, 9972, 7158, 538, 519, 4676, 1695, 7813, 543, 723, 1995, 538, 519, 1641, 896, 1353, 563, 29605, 543, 10613, 454, 763, 1459, 1353, 568, 513, 5916, 630, 23974, 5511, 6709, 656, 5511, 264, 1382, 602, 814, 606, 31602, 1935, 269, 898, 568, 849, 10855, 1606, 584, 3272, 538, 2470, 543, 1505, 269, 7732, 1505, 729, 1031, 547, 2445, 1344, 538, 519, 2361, 540, 1382, 3332, 543, 922, 4282, 269, 12474, 2079, 814, 1044, 1031, 547, 5531, 519, 2188, 7133, 519, 1646, 540, 2500, 5718, 269, 589, 18102, 729, 1031, 547, 2697, 519, 2014, 543, 1198, 3347, 1063, 519, 4857, 2188, 269, 634, 11001, 13402, 18102, 729, 3177, 547, 519, 9972, 9946, 540, 519, 4676, 1695, 7813, 547, 3313, 519, 2014, 543, 1198, 3347, 1063, 519, 4857, 3334, 563, 30206, 543, 11778, 454, 763, 2164, 540, 519, 1459, 1353, 616, 5812, 609, 519, 2164, 540, 930, 3105, 2090, 269, 2290, 540, 873, 568, 5651, 14508, 781, 1382, 630, 1001, 275, 1040, 769, 713, 1382, 267, 5651, 14508, 814, 3254, 602, 3804, 4259, 543, 1983, 616, 519, 1292, 4162, 540, 2500, 3401, 269, 2098, 732, 630, 1001, 277, 264, 814, 849, 3254, 538, 1010, 1382, 602, 282, 21864, 3804, 4259, 267, 7207, 267, 2825, 1702, 616, 519, 1292, 2188, 538, 5718, 1646, 269, 2279, 329, 12317, 1696, 620, 269, 630, 1001, 275, 264, 723, 849, 3254, 602, 282, 19078, 1915, 543, 16779, 2188, 616, 519, 1292, 4632, 12018, 519, 1646, 540, 2500, 5718, 269, 7917, 4591, 3088, 326, 1696, 620, 269, 630, 1001, 277, 264, 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 ]
[ 3239, 2298, 952, 556, 1606, 8491, 2789, 2053, 563, 288, 23739, 568, 513, 5048, 2016, 547, 513, 1357, 11422, 630, 1492, 3498, 596, 946, 547, 1205, 2228, 264, 676, 513, 1357, 7746, 269, 13648, 625, 948, 2697, 3896, 3755, 945, 723, 10272, 5892, 267, 610, 1346, 602, 616, 972, 585, 519, 1101, 942, 267, 543, 666, 5965, 16419, 1543, 585, 873, 4470, 593, 1346, 7355, 563, 291, 558, 664, 8745, 3590, 630, 291, 10064, 2187, 763, 22665, 18922, 15745, 1257, 9607, 602, 649, 946, 630, 3697, 8940, 12500, 330, 9712, 698, 4981, 2593, 264, 883, 513, 25948, 5769, 2232, 563, 291, 1824, 3131, 769, 577, 630, 7894, 296, 2187, 7894, 296, 4016, 547, 1820, 6571, 540, 606, 3239, 267, 610, 540, 519, 3977, 3926, 630, 3697, 513, 17002, 1040, 634, 6571, 585, 1357, 568, 476, 7761, 546, 7032, 267, 1247, 519, 3044, 585, 1820, 568, 476, 4968, 546, 7032, 267, 799, 2636, 585, 1454, 3152, 9355, 563, 288, 6389, 2012, 568, 513, 2012, 602, 14439, 513, 2780, 610, 5904, 593, 519, 5769, 269, 1452, 4408, 2408, 607, 513, 851, 540, 513, 19534, 781, 15745, 269, 1280, 1383, 267, 538, 8940, 12500, 330, 9712, 698, 4981, 2593, 910, 536, 330, 9712, 698, 4981, 568, 519, 6389, 2012, 563, 262, 16978, 3055, 16450, 262, 568, 519, 9140, 543, 9513, 540, 5370, 543, 2533, 267, 543, 519, 4483, 540, 7482, 267, 998, 3059, 10618, 269, 2859, 543, 811, 4213, 616, 9513, 25584, 593, 741, 7270, 1210, 6946, 3292, 602, 1450, 5561, 547, 2322, 3688, 538, 513, 1412, 3333, 25891, 7047, 262, 543, 2638, 856, 267, 543, 1256, 2272, 585, 11288, 543, 3454, 3790, 563, 288, 476, 29024, 5470, 5048, 1797, 519, 2985, 596, 2811, 3843, 547, 3914, 3112, 581, 1336, 269, 901, 666, 4755, 952, 596, 3095, 547, 513, 2985, 602, 3085, 1405, 2291, 267, 610, 952, 513, 2985, 568, 3144, 1524, 543, 519, 3095, 3788, 909, 563, 16100, 909, 256, 589, 674, 822, 6625, 568, 519, 2370, 3239, 602, 5526, 538, 519, 11422, 6885, 1985, 547, 707, 15745, 267, 610, 538, 1985, 547, 519, 13849, 2389, 1856, 952, 596, 2811, 1210, 29601, 563, 8340, 1464, 568, 606, 4950, 6725, 2165, 602, 4016, 547, 875, 3362, 1344, 593, 513, 3896, 666, 581, 1336, 267, 2901, 689, 3406, 9817, 543, 824, 2228, 1463, 1559, 543, 2200, 267, 610, 689, 1369, 519, 3135, 3294, 563, 1103, 1357, 1374, 2474, 267, 834, 19507, 257, 568, 519, 1899, 2250, 799, 2576, 814, 547, 20801, 547, 1294, 811, 1543, 269, 18421, 602, 2982, 909, 950, 513, 2985, 1101, 13907, 568, 834, 629, 913, 519, 16784, 257, 543, 834, 10964, 578, 268, 257, 610, 834, 12898, 519, 16784, 257, 4016, 547, 519, 1543, 2417, 1524, 519, 2985, 269, 634, 2165, 2501, 8385, 689, 14786, 267, 607, 519, 1283, 3368, 540, 519, 4395, 2985, 729, 834, 629, 913, 519, 16784, 2437, 543, 568, 1141, 519, 2101, 2984, 543, 2592, 941, 5116, 585, 5021, 1198, 563, 13528, 338, 946, 14103, 16776, 602, 5581, 543, 6003, 1257, 268, 18782, 10833, 267, 2638, 10833, 267, 5925, 16181, 267, 543, 5924, 6749, 16365, 27487, 547, 1711, 2241, 2081, 585, 2576, 547, 2445, 1344, 689, 3755, 2047, 593, 519, 3135, 563, 12179, 3301, 602, 568, 7856, 585, 1863, 593, 519, 1357, 269, 2368, 1134, 1634, 1806, 1131, 581, 23489, 24153, 630, 1721, 13156, 540, 7300, 338, 264, 543, 4787, 4286, 630, 341, 8721, 10004, 1154, 1916, 17572, 18734, 16257, 630, 293, 9143, 2187, 293, 9143, 2636, 596, 547, 5299, 610, 6494, 6119, 630, 12487, 7876, 6054, 267, 8642, 2592, 267, 18580, 1115, 267, 3092, 4700, 689, 835, 2780, 547, 1776, 3842, 519, 5769, 269, 589, 3593, 9517, 543, 10957, 616, 2877, 547, 946, 674, 9143, 267, 8259, 32088, 674, 9143, 568, 4847, 563, 288, 1297, 532, 1062, 799, 3096, 513, 3490, 540, 476, 1626, 269, 634, 1101, 4557, 9704, 616, 476, 271, 268, 280, 543, 519, 1985, 3670, 616, 589, 6363, 269, 1261, 343, 1228, 31565, 2338, 616, 1031, 547, 3313, 630, 663, 3044, 1125, 264, 4778, 593, 519, 1357, 269, 1280, 1383, 267, 519, 15279, 1228, 31565, 6697, 585, 519, 2681, 3043, 568, 1948, 13697, 13697, 13697, 267, 1247, 3109, 568, 1948, 1822, 1822, 454, 29730, 17806, 4460, 1575, 5678, 630, 12487, 7876, 2187, 12487, 7876, 513, 3444, 13807, 520, 845, 1893, 585, 2870, 543, 11249, 1357, 3817, 269, 15689, 543, 16776, 616, 1031, 547, 1860, 5299, 267, 2592, 267, 4992, 267, 14604, 267, 14318, 543, 811, 563, 288, 5409, 15062, 267, 811, 4122, 1572, 513, 3095, 267, 568, 606, 5907, 4276, 1063, 835, 1357, 2985, 547, 2901, 824, 1357, 3817, 593, 519, 1482, 3896, 630, 514, 4156, 16046, 1070, 610, 1357, 3817, 4092, 593, 1776, 3896, 630, 1410, 4156, 16046, 1916, 2304, 3239, 4786, 568, 513, 1592, 540, 10974, 1644, 547, 513, 3239, 267, 971, 602, 14467, 1978, 2127, 540, 519, 3239, 6402, 547, 1114, 3817, 269, 2060, 513, 3339, 3239, 3095, 267, 519, 3003, 3239, 1131, 3095, 547, 835, 2582, 2985, 563, 25542, 6796, 3038, 3187, 630, 3041, 303, 2187, 2304, 4959, 303, 568, 519, 2754, 602, 2488, 596, 609, 1569, 547, 519, 5769, 563, 14112, 585, 834, 297, 2002, 7353, 4919, 20226, 6828, 2437, 519, 1895, 602, 2813, 519, 4441, 585, 1018, 616, 31179, 9680, 2592, 630, 297, 303, 9680, 568, 519, 1826, 540, 3758, 267, 1247, 808, 22333, 568, 519, 3758, 10137, 1040, 31179, 9680, 338, 946, 28253, 13496, 267, 2495, 596, 666, 1118, 873, 4130, 630, 2288, 693, 519, 1942, 540, 9355, 264, 585, 3096, 971, 607, 1357, 563, 288, 15958, 3650, 568, 513, 8642, 3239, 5116, 593, 1283, 540, 513, 1357, 2985, 2337, 547, 3362, 2697, 519, 1699, 2985, 547, 519, 3593, 269, 631, 770, 3650, 2592, 666, 2270, 6337, 267, 1257, 267, 5546, 267, 543, 5924, 3239, 7851, 563, 18404, 20631, 568, 513, 14845, 543, 10169, 24813, 2856, 269, 18135, 697, 689, 9504, 281, 834, 18404, 20631, 568, 3989, 607, 1239, 3246, 1344, 827, 835, 610, 811, 3344, 540, 519, 1239, 267, 971, 607, 281, 31283, 540, 5137, 540, 519, 1239, 267, 20828, 540, 519, 1239, 267, 5384, 543, 4266, 540, 5137, 267, 29763, 610, 2278, 540, 1239, 267, 19715, 593, 513, 2780, 3060, 1141, 519, 1239, 729, 2813, 267, 11621, 1031, 1701, 769, 2596, 2474, 267, 621, 781, 3297, 519, 10207, 1344, 593, 707, 3135, 602, 6257, 519, 3135, 3294, 543, 1543, 24428, 1369, 563, 300, 1787, 1478, 4016, 547, 1022, 2186, 540, 2962, 602, 4386, 950, 513, 3755, 4025, 741, 23684, 630, 7474, 15561, 596, 1847, 1472, 707, 5496, 264, 936, 513, 7735, 267, 855, 1354, 4376, 568, 4945, 539, 269, 634, 3527, 666, 581, 4376, 689, 513, 2241, 1689, 538, 2681, 547, 606, 6946, 14318, 563, 28208, 566, 4016, 547, 519, 1184, 676, 799, 3755, 1569, 525, 1344, 593, 519, 4950, 269, 15394, 950, 649, 946, 519, 2165, 267, 649, 2811, 6158, 827, 519, 27487, 267, 6402, 267, 24069, 543, 16181, 593, 707, 3135, 267, 2059, 609, 1141, 789, 616, 543, 1141, 789, 1491, 513, 946, 563, 10403, 569, 2733, 17014, 543, 1110, 16666, 3301, 547, 799, 519, 2707, 3009, 568, 2139, 547, 519, 1857, 269, 7046, 11905, 12229, 1419, 2501, 609, 519, 4324, 540, 513, 4922, 6462, 3060, 540, 1357, 9367, 543, 1357, 9858, 602, 3565, 547, 519, 3498, 267, 1118, 10311, 267, 543, 23676, 2393, 3498, 1350, 9662, 602, 1131, 6382, 1491, 1454, 3476, 538, 513, 28106, 3510, 269, 20787, 8759, 32288, 2135, 543, 6478, 12304, 616, 1079, 1806, 540, 1930, 2707, 3301, 267, 799, 568, 1946, 596, 1294, 865, 1082, 1114, 4798, 543, 24909, 585, 1142, 267, 1034, 2813, 676, 519, 1857, 563, 1103, 4757, 6725, 267, 596, 991, 547, 1118, 2386, 707, 23700, 1616, 547, 1205, 707, 6835, 267, 610, 596, 1223, 1205, 6825, 607, 28417, 269, 8838, 532, 2987, 1797, 602, 2576, 814, 4481, 16761, 547, 4309, 15737, 827, 513, 1880, 1888, 610, 689, 513, 1880, 11769, 563, 11073, 20129, 6402, 3277, 547, 6402, 689, 707, 3135, 547, 606, 5007, 630, 16341, 7853, 3116, 781, 264, 3135, 563, 14112, 585, 834, 21545, 762, 11657, 14474, 2437, 789, 941, 1101, 2919, 676, 23489, 269, 634, 2856, 3297, 519, 7300, 729, 547, 1711, 513, 3758, 3898, 602, 1705, 711, 8200, 593, 3156, 267, 3301, 267, 8800, 610, 3301, 585, 1697, 13156, 269, 5272, 7300, 3758, 814, 513, 2347, 6609, 540, 513, 3561, 267, 1519, 519, 1257, 267, 23935, 267, 12449, 267, 543, 824, 1344, 2877, 547, 4159, 621, 563, 14112, 585, 834, 21545, 762, 8416, 29093, 2437, 630, 8117, 596, 666, 1175, 2161, 834, 4771, 20257, 623, 7582, 568, 606, 3239, 3898, 1031, 585, 2530, 1652, 13496, 543, 18071, 2592, 593, 519, 1357, 269, 623, 7582, 338, 1450, 585, 6634, 540, 4778, 267, 607, 1134, 607, 12001, 10080, 267, 998, 602, 666, 3006, 1267, 538, 3677, 3758, 7306, 563, 9827, 1572, 606, 4781, 7735, 267, 5925, 16181, 1450, 3755, 547, 3442, 835, 540, 513, 1297, 540, 24441, 3681, 269, 5871, 5925, 16181, 1223, 581, 9811, 270, 7224, 2055, 267, 610, 2085, 9832, 630, 1240, 268, 2190, 267, 476, 1839, 268, 1789, 267, 3092, 4700, 589, 5925, 7735, 568, 1114, 689, 513, 2638, 4216, 267, 799, 666, 3398, 2789, 13761, 3688, 693, 513, 942, 563, 763, 1297, 540, 19641, 538, 606, 3239, 267, 2016, 538, 513, 654, 343, 295, 3898, 269, 15394, 267, 519, 811, 19641, 538, 606, 3239, 267, 519, 3476, 621, 786, 1491, 547, 4452, 563, 288, 3406, 2599, 568, 513, 1982, 602, 19707, 6054, 630, 328, 4318, 269, 1357, 3817, 267, 799, 616, 14103, 6054, 264, 585, 9138, 17161, 543, 7024, 519, 1592, 540, 6054, 269, 589, 3406, 2599, 814, 1079, 2694, 267, 513, 17178, 543, 606, 4994, 518, 269, 634, 17178, 568, 519, 1982, 602, 10099, 2583, 519, 6054, 267, 543, 519, 4994, 518, 14509, 519, 6054, 543, 5932, 606, 4994, 1759, 593, 519, 1913, 610, 2093, 8659, 538, 1142, 3561, 563, 15507, 5422, 26659, 630, 10345, 302, 2187, 14112, 585, 834, 15507, 5422, 26659, 1701, 4676, 619, 547, 519, 1374, 540, 513, 3896, 585, 1732, 20823, 593, 3406, 9817, 269, 901, 666, 581, 4299, 998, 2553, 899, 3135, 19169, 547, 2101, 3406, 9817, 267, 20438, 30843, 267, 3135, 3009, 14842, 270, 9953, 574, 1436, 267, 3095, 20671, 267, 13297, 540, 5616, 24630, 3135, 17253, 267, 543, 930, 1543, 14842, 547, 13918, 5697, 17161, 563, 288, 1694, 655, 777, 568, 513, 6041, 540, 519, 2347, 6189, 540, 513, 3896, 267, 2356, 538, 21712, 6752, 543, 1759, 593, 519, 3135, 781, 12445, 563, 20376, 675, 590, 20449, 23771, 630, 7704, 299, 2187, 288, 7014, 2966, 676, 715, 1115, 3874, 547, 5512, 24290, 10618, 2066, 519, 5769, 269, 898, 2488, 7834, 267, 17452, 267, 543, 5048, 8699, 269, 9399, 299, 568, 1419, 1031, 538, 10618, 1063, 26292, 543, 13763, 269, 589, 15745, 602, 5956, 609, 834, 10059, 257, 568, 513, 23319, 602, 606, 9399, 299, 4276, 786, 581, 1031, 593, 519, 3896, 269, 4438, 606, 9399, 299, 4276, 267, 1142, 2427, 15920, 513, 8232, 25890, 547, 519, 824, 269, 5637, 5011, 1287, 17278, 1018, 789, 6494, 267, 4180, 602, 1152, 519, 5497, 18579, 666, 1232, 1712, 621, 563, 288, 1016, 3256, 664, 568, 513, 6389, 602, 568, 851, 540, 513, 3677, 6389, 269, 24439, 513, 2603, 540, 2631, 267, 1318, 286, 6884, 950, 645, 298, 300, 4215, 6828, 568, 21130, 606, 2025, 3135, 267, 649, 991, 547, 2322, 519, 1007, 835, 2661, 593, 519, 1482, 6389, 267, 1510, 23892, 519, 2025, 3135, 269, 769, 1346, 2665, 267, 649, 1711, 519, 1007, 3135, 593, 513, 1016, 3256, 664, 899, 12498, 12500, 330, 9712, 698, 4981, 2593, 269, 634, 834, 15883, 257, 538, 1747, 540, 834, 4178, 257, 568, 513, 1114, 1016, 3256, 664, 267, 1175, 899, 1223, 1118, 513, 5816, 12500, 330, 9712, 698, 4981, 2593, 267, 610, 1022, 1297, 540, 824, 1016, 3256, 1622, 563, 1103, 606, 2228, 1106, 267, 1257, 268, 18782, 10833, 1450, 513, 3593, 547, 1826, 538, 873, 269, 1358, 666, 581, 3908, 547, 513, 1297, 540, 3515, 610, 3197, 563, 288, 1507, 4528, 540, 513, 8642, 3239, 269, 15394, 4196, 607, 513, 1412, 2181, 1613, 3239, 262, 538, 606, 3239, 19922, 593, 519, 1357, 563, 308, 22744, 532, 568, 519, 2962, 540, 11488, 1239, 689, 513, 2199, 2780, 630, 344, 2293, 264, 547, 513, 7746, 610, 3896, 269, 1879, 596, 723, 606, 3239, 593, 707, 2780, 602, 596, 1616, 547, 946, 593, 707, 3896, 267, 596, 14202, 621, 269, 1879, 596, 4483, 1945, 689 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1186, 5395, 951, 454, 278, 269, 7454, 1299, 4400, 569, 8779, 18026, 667, 539, 5344, 5395, 951, 1280, 1411, 5487, 684, 3481, 1635, 1411, 1326, 18218, 454, 279, 269, 1548, 1772, 13192, 17270, 286, 18421, 1411, 9701, 5700, 454, 12041, 281, 674, 2568, 21118, 454, 280, 269, 7454, 4518, 3245, 5851, 19478, 1656, 590, 2056, 8262, 28567, 454, 1015, 269, 18391, 1280, 5616, 3718, 10628, 623, 878, 532, 12697, 888, 12041, 281, 674, 2568, 21118, 454, 1556, 269, 9537, 2986, 4469, 5190, 454, 12041, 281, 9537, 2986, 4469, 5190, 454, 1321, 269, 661, 1260, 12692, 19534, 12708, 338, 630, 1708, 273, 994, 12041, 281, 23520, 2158, 21510, 10298, 454, 1724, 269, 19534, 24779, 1280, 589, 14568, 14871, 15232, 281, 654, 334, 24899, 12692, 4886, 7896, 454, 12041, 281, 3627, 8055, 454, 1691, 269, 6820, 29942, 769, 22947, 30007, 10369, 24637, 267, 19833, 267, 23113, 1656, 5983, 4751, 476, 1708, 278, 454, 12041, 281, 737, 531, 6647, 327, 986, 329, 1584, 454, 1428, 269, 12706, 1323, 13229, 19534, 2060, 19255, 1518, 454, 12041, 281, 2290, 547, 2290, 5071, 2289, 3930, 0, 300, 3951, 3173, 2813, 513, 4480, 602, 666, 8850, 4766, 519, 5107, 540, 1367, 11409, 538, 513, 8849, 3060, 609, 2067, 1893, 267, 4543, 3684, 1565, 9439, 1732, 1174, 875, 741, 2203, 786, 13789, 538, 519, 1483, 1158, 563, 268, 22532, 5121, 616, 3006, 1572, 3109, 10833, 1317, 267, 5103, 519, 1249, 602, 789, 666, 856, 704, 845, 3425, 593, 1978, 4247, 267, 1256, 519, 3173, 945, 1374, 873, 1419, 1810, 1406, 1174, 875, 610, 1946, 789, 960, 865, 1134, 563, 268, 1280, 3236, 267, 538, 513, 8849, 3060, 8036, 547, 5431, 2831, 538, 2592, 267, 741, 1505, 1522, 4766, 513, 1978, 22813, 607, 16326, 10772, 540, 29372, 563, 268, 4107, 4540, 2553, 602, 948, 3684, 19543, 9439, 1174, 875, 513, 2203, 1568, 2901, 4766, 519, 3003, 8849, 3060, 610, 2154, 3173, 547, 2697, 2035, 789, 1589, 1367, 11409, 1223, 581, 2519, 593, 563, 268, 631, 6579, 3198, 7472, 11673, 540, 11409, 538, 8849, 5121, 8036, 585, 2780, 5075, 4247, 899, 1843, 6284, 543, 3239, 10282, 563, 268, 2755, 519, 3173, 941, 24330, 676, 875, 1134, 631, 6579, 3198, 5340, 538, 891, 1614, 3156, 267, 519, 2203, 3006, 3947, 11673, 602, 616, 1869, 1932, 22394, 267, 610, 621, 786, 1118, 606, 11234, 7058, 950, 621, 3085, 1406, 917, 519, 1523, 621, 568, 9277, 547, 2697, 563, 5649, 519, 2347, 2376, 693, 281, 3377, 269, 2466, 12975, 0, 294, 549, 1356, 344, 8637, 723, 513, 2647, 2039, 540, 15347, 6954, 1426, 2472, 585, 1004, 609, 524, 27112, 2068, 267, 10568, 11959, 610, 15347, 8417, 269, 1809, 6616, 585, 2386, 2436, 2472, 616, 2922, 585, 4616, 666, 581, 811, 7294, 982, 1175, 2542, 519, 6003, 563, 12867, 723, 2919, 513, 811, 6325, 1259, 585, 9755, 547, 3713, 15347, 538, 29881, 10568, 20566, 267, 513, 1455, 12146, 538, 3536, 13042, 15347, 6954, 563, 10908, 9790, 568, 513, 7848, 540, 5946, 538, 519, 20566, 540, 10568, 267, 30383, 543, 24061, 9274, 602, 666, 581, 7745, 1524, 883, 1079, 1016, 25364, 281, 605, 4594, 1231, 630, 342, 17742, 1350, 328, 611, 1231, 264, 543, 22965, 601, 1231, 630, 342, 17742, 15347, 1231, 1916, 763, 3173, 5916, 15074, 12656, 1889, 566, 1164, 26024, 5277, 24885, 2762, 609, 28264, 7020, 547, 1020, 513, 6213, 4480, 602, 666, 3713, 1312, 1350, 328, 611, 1231, 543, 15347, 1231, 538, 29881, 10568, 20566, 269, 634, 1007, 1505, 4857, 2362, 5666, 540, 15347, 538, 476, 866, 856, 540, 476, 2918, 20566, 5439, 982, 519, 20700, 26721, 9382, 1705, 269, 1656, 267, 2687, 547, 519, 1007, 1449, 267, 476, 1321, 5439, 602, 1185, 1044, 13042, 15347, 6954, 8659, 1063, 476, 1839, 269, 277, 543, 476, 7597, 31501, 540, 15347, 829, 11304, 540, 20566, 563, 763, 772, 2529, 269, 5253, 543, 10684, 10029, 543, 519, 2136, 8315, 262, 5253, 543, 11982, 9257, 723, 1305, 519, 5021, 3970, 585, 15347, 538, 2472, 13042, 15347, 6954, 693, 476, 736, 8406, 21515, 563, 763, 1353, 568, 3370, 538, 589, 5425, 262, 4750, 540, 16581, 543, 5253, 11061, 269, 0, 763, 11768, 5161, 540, 3670, 7504, 5443, 2390, 741, 9757, 4410, 338, 11231, 538, 1614, 10750, 13164, 609, 513, 5182, 3613, 3291, 539, 2666, 538, 4704, 547, 519, 6370, 538, 13140, 269, 634, 26348, 1847, 689, 2451, 547, 1318, 607, 952, 593, 519, 15292, 269, 634, 1152, 3017, 1063, 519, 31115, 538, 519, 1283, 1318, 11804, 7944, 267, 945, 4564, 2441, 267, 543, 519, 1866, 568, 602, 646, 11438, 1010, 18156, 538, 1010, 5023, 269, 634, 18156, 538, 1010, 5023, 4564, 519, 840, 2286, 547, 19439, 796, 29207, 951, 563, 383, 479, 978, 11253, 30473, 631, 1092, 454, 23175, 540, 4972, 540, 19744, 4165, 1172, 885, 454, 300, 2224, 334, 1488, 4302, 565, 6759, 326, 4815, 715, 659, 1308, 0, 288, 7869, 540, 7827, 630, 2414, 290, 264, 6257, 875, 543, 1946, 606, 6304, 630, 2889, 915, 264, 568, 10924, 547, 1291, 547, 513, 5551, 1439, 9113, 738, 630, 11069, 716, 547, 4194, 513, 1966, 1040, 898, 666, 581, 1031, 607, 513, 3730, 14820, 267, 513, 5943, 610, 1256, 513, 1761, 1587, 267, 799, 2337, 547, 2736, 1524, 1169, 1900, 689, 1966, 267, 547, 3070, 267, 547, 1764, 563, 4131, 779, 1413, 693, 513, 2241, 1383, 281, 25562, 6499, 547, 3565, 547, 1200, 2199, 2146, 269, 2701, 814, 8068, 606, 2799, 1377, 540, 2790, 1072, 2042, 543, 20420, 538, 1200, 29117, 267, 543, 6499, 547, 798, 1945, 827, 621, 910, 519, 1966, 269, 2701, 16976, 602, 519, 1259, 547, 547, 1376, 5346, 513, 2146, 12202, 11036, 547, 948, 910, 519, 3070, 269, 1924, 2484, 267, 711, 8209, 513, 2312, 5832, 689, 1966, 547, 3070, 547, 1764, 267, 1318, 888, 2171, 666, 2736, 713, 1524, 1210, 513, 2241, 3069, 540, 1689, 2676, 7437, 1210, 513, 2241, 3069, 540, 1689, 267, 25562, 666, 2736, 1524, 519, 1114, 3268, 2509, 1200, 5551, 1764, 267, 543, 1205, 606, 5813, 883, 1022, 10054, 602, 1352, 814, 827, 1200, 11036, 269, 1280, 1383, 267, 1352, 1223, 1491, 1200, 1870, 2203, 547, 519, 1985, 1377, 676, 4152, 2436, 519, 1297, 540, 3108, 6170, 24749, 630, 16059, 264, 5963, 5540, 519, 1377, 540, 13059, 13538, 267, 610, 547, 1018, 6708, 13538, 1995, 3152, 2168, 543, 1514, 1072, 630, 719, 3699, 1916, 288, 3069, 540, 1689, 630, 2414, 290, 264, 568, 513, 9735, 1259, 547, 2285, 707, 1788, 1764, 513, 7406, 267, 855, 875, 666, 596, 1118, 946, 540, 621, 1369, 707, 3919, 547, 2327, 707, 1764, 568, 2312, 547, 596, 267, 707, 2319, 267, 543, 519, 3544, 1158, 888, 763, 1034, 6654, 1259, 1131, 3274, 581, 1210, 513, 1677, 290, 607, 513, 1259, 540, 3206, 269, 1403, 596, 2196, 606, 14223, 3919, 267, 585, 1383, 267, 519, 1764, 596, 2461, 5275, 547, 1118, 786, 2141, 581, 519, 8998, 540, 782, 519, 960, 596, 798, 543, 786, 991, 547, 581, 11295, 269, 1635, 22991, 4947, 1394, 547, 513, 3069, 540, 1689, 267, 596, 786, 2327, 707, 1870, 2203, 568, 7347, 609, 513, 2312, 1764, 693, 519, 4295, 540, 707, 960, 563, 2252, 707, 3919, 1568, 593, 2789, 31433, 267, 596, 949, 991, 519, 2856, 540, 513, 1677, 290, 5943, 693, 513, 4130, 4336, 585, 1788, 2359, 269, 1280, 1383, 267, 596, 666, 946, 519, 1677, 290, 3268, 630, 19152, 267, 3977, 267, 6364, 267, 1764, 264, 950, 4947, 909, 609, 606, 4835, 1788, 1544, 267, 543, 946, 621, 607, 707, 1900, 676, 1900, 3391, 1247, 5883, 707, 1788, 2319, 610, 7893, 707, 3356, 563, 15563, 267, 543, 1034, 4122, 1031, 1369, 519, 1158, 540, 27013, 543, 519, 3791, 5823, 267, 513, 1677, 290, 666, 581, 513, 1360, 3730, 1587, 585, 707, 5007, 10618, 269, 28527, 909, 609, 513, 2407, 31383, 543, 17396, 3069, 540, 1689, 3217, 942, 267, 543, 865, 621, 779, 1390, 547, 946, 607, 513, 1259, 547, 2491, 707, 3919, 781, 23626, 610, 6859, 267, 585, 1383, 607, 835, 1883, 3239, 585, 707, 5007, 8639, 563, 2080, 568, 513, 1390, 1383, 540, 713, 676, 6435, 513, 4132, 563, 28275, 1507, 543, 2241, 547, 19472, 513, 6074, 1966, 610, 547, 1449, 707, 3070, 568, 2629, 267, 2523, 952, 596, 2811, 1175, 4358, 909, 707, 1870, 269, 901, 786, 1831, 519, 4295, 540, 1022, 3069, 540, 1689, 563, 2171, 8045, 713, 950, 649, 6896, 513, 13186, 609, 585, 519, 1053, 693, 12813, 18199, 267, 519, 2274, 16582, 8998, 585, 5647, 543, 20835, 269, 634, 8400, 729, 19658, 547, 948, 2875, 11639, 547, 8115, 741, 3355, 1870, 2093, 609, 741, 5551, 1764, 267, 1210, 519, 1677, 290, 5943, 563, 7437, 7317, 2238, 267, 519, 1895, 741, 9905, 547, 2445, 607, 1082, 1114, 5380, 607, 2009, 827, 741, 5551, 1764, 269, 1635, 519, 1439, 540, 519, 8400, 267, 789, 782, 8486, 3481, 741, 9735, 2093, 267, 1210, 513, 2312, 3069, 540, 1689, 5943, 563, 2710, 596, 723, 513, 2243, 827, 519, 3069, 540, 1689, 610, 616, 596, 8049, 547, 946, 621, 538, 707, 3919, 267, 6494, 606, 4757, 547, 18078, 17106, 11333, 3820, 269, 0, 309, 643, 520, 267, 966, 643, 5953, 339, 281, 476, 274, 8847, 454, 309, 643, 520, 1797, 1945, 538, 18420, 267, 16130, 269, 1403, 596, 1616, 547, 917, 519, 3169, 2495, 267, 1686, 267, 29721, 610, 2296, 8144, 540, 713, 2165, 1287, 2638, 856, 519, 11673, 593, 713, 2985, 269, 5410, 707, 6085, 610, 4704, 547, 513, 1433, 952, 596, 1616, 547, 3565, 547, 713, 5758, 2376, 563, 299, 16722, 540, 3127, 543, 13383, 454, 306, 14234, 8675, 13126, 281, 595, 860, 928, 7913, 16130, 667, 17152, 281, 1744, 629, 6767, 4149, 698, 4673, 16130, 30165, 9218, 454, 309, 643, 5953, 339, 630, 2633, 369, 18028, 369, 14098, 353, 11165, 1040, 1765, 332, 325, 333, 269, 11196, 341, 31488, 8686, 5953, 660, 13682, 610, 642, 5953, 339, 13682, 8686, 5953, 339, 264, 645, 27172, 9900, 269, 661, 269, 19274, 1354, 642, 5953, 547, 9514, 267, 15662, 505, 520, 9719, 505, 3413, 2529, 1830, 281, 595, 860, 928, 7913, 16130, 667, 17152, 281, 3933, 1512, 8862, 650, 3554, 338, 16130, 30165, 9218, 454, 309, 643, 520, 630, 2633, 369, 18028, 369, 23371, 11165, 2567, 1765, 314, 284, 12858, 8686, 520, 316, 1496, 5228, 19274, 316, 544, 325, 333, 269, 5627, 519, 2262, 19274, 267, 1496, 288, 527, 732, 5984, 1532, 337, 5953, 8676, 22170, 320, 316, 13126, 281, 595, 860, 928, 7913, 16130, 667, 17152, 281, 962, 919, 16130, 30165, 9218, 454, 309, 643, 5953, 339, 630, 2633, 369, 18028, 369, 14098, 353, 11165, 2567, 1765, 314, 12858, 8686, 5953, 339, 316, 630, 341, 31488, 8686, 5953, 660, 13682, 8686, 5953, 339, 13682, 8686, 5953, 339, 264, 513, 269, 645, 27172, 9900, 563, 306, 14234, 267, 849, 25250, 29334, 23517, 28637, 11695, 499, 5936, 481, 23371, 28440, 11165, 630, 21542, 30195, 12921, 9719, 505, 339, 600, 1070, 568, 606, 3504, 1893, 540, 3127, 4122, 2938, 607, 519, 20516, 540, 519, 21475, 26049, 1893, 1920, 630, 16838, 2296, 32656, 19171, 569, 24027, 609, 16217, 330, 761, 543, 6022, 328, 267, 16130, 568, 811, 29882, 538, 1312, 8239, 543, 2474, 543, 814, 519, 1034, 3573, 4015, 540, 3332, 538, 519, 1158, 267, 7494, 20546, 532, 922, 11078, 2000, 16722, 5259, 543, 5824, 563, 8450, 849, 630, 3725, 10589, 8847, 994, 9359, 338, 609, 22791, 276, 2567, 966, 643, 1092, 267, 966, 643, 1092, 5991, 752, 330, 1002, 320, 267, 966, 643, 520, 659, 752, 16223, 340, 267, 966, 643, 520, 659, 577, 3385, 267, 966, 643, 520, 611, 341, 4673, 267, 966, 643, 31540, 267, 966, 643, 27979, 752, 330, 1002, 3279, 267, 966, 643, 520, 7534, 267, 966, 643, 1846, 320, 267, 966, 643, 1846, 340, 267, 966, 643, 520, 3279, 267, 966, 643, 520, 3279, 918, 28385, 267, 966, 643, 520, 3279, 2275, 577, 3385, 267, 966, 643, 3430, 752, 28385, 267, 966, 643, 3430, 3570, 267, 966, 643, 3430, 534, 534, 1575, 817, 3570, 267, 966, 643, 3430, 10620, 267, 966, 643, 3430, 525, 328, 267, 966, 643, 3430, 564, 328, 267, 966, 643, 3430, 564, 9366, 563, 292, 2738, 609, 281, 29325, 822, 777, 337, 603, 643, 643, 520, 563, 15507, 1336, 476, 274, 2835, 543, 2984, 5627, 966, 643, 520, 267, 966, 643, 5953, 339, 267, 22870, 8686, 520, 267, 22870, 8686, 5953, 339, 282, 630, 680, 584, 1023, 1331, 281, 966, 643, 1846, 267, 966, 643, 5953, 1206, 267, 642, 1846, 267, 642, 5953, 1206, 1040, 1411, 666 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 324, 3052, 269, 12422, 267, 10865, 264, 610, 15400, 538, 519, 2013, 540, 4357, 6142, 267, 610, 581, 16601, 585, 782, 4961, 538, 519, 2013, 540, 3084, 4566, 269, 634, 1826, 543, 2179, 540, 1072, 1416, 3790, 602, 786, 581, 4988, 676, 519, 1072, 6142, 8502, 616, 9138, 538, 1603, 267, 538, 513, 4759, 4579, 610, 834, 18128, 2064, 540, 15147, 720, 257, 27412, 585, 4357, 6142, 267, 610, 538, 513, 3084, 1072, 3609, 585, 1857, 6142, 563, 763, 1445, 540, 1857, 1072, 7459, 568, 547, 2061, 543, 4383, 3676, 267, 7063, 543, 824, 1072, 2175, 998, 13178, 540, 2665, 543, 519, 13319, 540, 2635, 2623, 267, 2950, 267, 543, 630, 514, 3344, 4143, 547, 1480, 1072, 264, 5054, 269, 4706, 2832, 568, 547, 2061, 1072, 2042, 689, 8345, 610, 556, 31507, 2590, 676, 7598, 3872, 3292, 267, 3384, 4507, 267, 28720, 2533, 543, 10647, 1382, 269, 769, 1082, 2665, 267, 8156, 513, 2068, 610, 9013, 513, 19800, 666, 581, 4105, 547, 7303, 621, 538, 1866, 267, 971, 607, 1282, 606, 12176, 269, 17261, 1588, 3292, 543, 3892, 540, 7873, 1682, 547, 2061, 519, 3262, 540, 3868, 762, 3676, 616, 1806, 540, 1455, 15324, 1857, 1072, 3800, 267, 607, 616, 3872, 11044, 547, 3895, 12674, 543, 519, 946, 540, 7873, 1682, 630, 10175, 20408, 4187, 547, 971, 1916, 8256, 28366, 945, 616, 8572, 547, 6488, 589, 7563, 10687, 680, 5050, 3795, 949, 4166, 581, 2111, 547, 6718, 2110, 3856, 3795, 609, 513, 1454, 3476, 8653, 269, 8549, 7939, 2242, 3803, 1242, 713, 4832, 543, 9307, 713, 3923, 786, 1118, 621, 2009, 585, 1082, 18046, 547, 6718, 513, 2110, 3856, 1544, 609, 606, 3355, 8653, 540, 5176, 513, 1032, 1107, 609, 25430, 3681, 602, 1450, 519, 1544, 547, 2611, 538, 3196, 585, 1614, 1296, 563, 10890, 6142, 3790, 4268, 538, 1082, 2081, 269, 667, 9254, 551, 17156, 267, 14167, 338, 267, 543, 2941, 599, 906, 782, 1404, 883, 1018, 707, 1072, 6142, 3790, 786, 2097, 856, 547, 269, 552, 10890, 2090, 723, 3254, 602, 538, 476, 1001, 278, 519, 3328, 1367, 14167, 729, 1269, 4375, 274, 1510, 1022, 24307, 269, 1635, 9236, 10530, 267, 543, 6340, 609, 513, 13931, 8665, 267, 596, 1522, 581, 2111, 547, 1265, 5777, 3648, 2539, 982, 713, 267, 602, 1869, 2743, 707, 2115, 269, 14171, 519, 942, 547, 6300, 1472, 543, 5635, 666, 1118, 513, 5458, 3017, 538, 1018, 596, 2461, 9878, 585, 707, 1072, 6142, 563, 11900, 4269, 3549, 616, 711, 4847, 547, 723, 1071, 1790, 599, 906, 267, 11503, 267, 610, 20952, 17156, 267, 610, 547, 20912, 3795, 547, 1022, 1268, 7311, 585, 513, 3609, 267, 610, 547, 5279, 4376, 824, 982, 741, 25422, 1305, 543, 3370, 3044, 14167, 338, 269, 4475, 267, 1169, 1268, 9140, 6142, 786, 2628, 519, 1482, 3902, 607, 3025, 3116, 9140, 519, 1482, 3609, 267, 543, 1169, 1268, 786, 1205, 693, 2547, 519, 5934, 1377, 540, 3795, 563, 324, 10890, 568, 513, 1863, 3028, 267, 609, 606, 589, 266, 12773, 689, 519, 14568, 6355, 13163, 267, 3246, 2653, 3562, 14025, 7146, 268, 16187, 1544, 1265, 619, 543, 6476, 2645, 269, 12697, 4421, 998, 552, 10890, 4465, 1405, 1942, 811, 982, 952, 596, 4444, 2047, 689, 835, 540, 938, 7426, 269, 552, 10890, 786, 4363, 4566, 602, 616, 1655, 14018, 547, 707, 2115, 543, 6578, 267, 2436, 621, 781, 1282, 519, 5993, 1930, 27350, 1974, 610, 952, 596, 723, 513, 27216, 1272, 2680, 269, 769, 1978, 2829, 267, 552, 10890, 666, 1256, 948, 596, 4019, 585, 519, 32285, 5516, 2920, 3454, 5491, 6035, 676, 519, 2229, 269, 552, 10890, 568, 23217, 16539, 538, 4543, 596, 609, 782, 707, 2564, 6142, 2055, 543, 4145, 267, 1519, 912, 763, 18230, 3782, 1062, 568, 513, 4999, 540, 1857, 267, 13564, 2213, 4357, 543, 11207, 4357, 1949, 269, 15928, 14167, 338, 4268, 689, 6142, 2754, 547, 2754, 267, 519, 4430, 1377, 14350, 6074, 630, 325, 13361, 1047, 1070, 519, 1747, 540, 15335, 540, 519, 1202, 3293, 1268, 543, 519, 4110, 540, 24045, 4324, 3795, 6074, 630, 1260, 921, 29232, 4915, 267, 6296, 5959, 1416, 267, 10859, 17376, 10675, 610, 4357, 20758, 6413, 5314, 267, 3092, 28593, 23114, 1072, 849, 5673, 13148, 593, 519, 1514, 2497, 540, 513, 1268, 781, 1272, 269, 634, 5826, 540, 2178, 1514, 3347, 267, 24749, 267, 543, 824, 1514, 2238, 723, 1044, 5532, 547, 2318, 2790, 1072, 543, 849, 2799, 15325, 269, 2290, 1977, 1353, 1851, 20650, 936, 2085, 476, 3583, 267, 1336, 602, 7928, 24749, 729, 2404, 609, 4389, 1981, 540, 12955, 3379, 609, 4587, 7606, 945, 1705, 711, 15321, 267, 7488, 540, 2168, 1072, 4567, 269, 6271, 1353, 689, 14135, 4080, 602, 24749, 13649, 525, 1185, 3648, 1732, 5042, 2773, 8464, 267, 7864, 19591, 2589, 267, 543, 1732, 2790, 1134, 5630, 543, 1272, 9547, 982, 1875, 19581, 2863, 324, 1359, 13649, 525, 563, 763, 25471, 6142, 666, 581, 29979, 676, 4357, 834, 1260, 921, 29232, 257, 6142, 4507, 602, 1450, 585, 3795, 540, 930, 540, 519, 2126, 6688, 711, 4988, 676, 519, 2596, 6142, 610, 547, 2087, 519, 3044, 540, 4055, 543, 3028, 538, 2013, 540, 6413, 5314, 269, 901, 666, 1331, 14911, 4915, 267, 6296, 5959, 2126, 543, 4357, 20758, 6413, 5314, 267, 799, 616, 711, 4988, 676, 519, 25471, 6142, 563, 263, 4785, 1808, 264, 3038, 3660, 676, 606, 16108, 17898, 29107, 1582, 30845, 18317, 26721, 1544, 269, 634, 2754, 3622, 6994, 2478, 602, 789, 723, 835, 540, 519, 2462, 6142, 3549, 269, 1717, 267, 538, 606, 18317, 26721, 2013, 267, 602, 6142, 2754, 834, 323, 3996, 333, 1405, 4497, 538, 519, 957, 540, 6142, 2580, 789, 1175, 17982, 621, 269, 4475, 267, 18317, 26721, 4566, 616, 711, 1641, 547, 1533, 4031, 269, 18317, 26721, 4566, 616, 18170, 676, 5313, 1876, 896, 519, 16278, 540, 519, 2475, 4972, 540, 8534, 630, 4785, 291, 5357, 1040, 634, 1808, 2640, 610, 3795, 3877, 616, 1336, 538, 519, 12834, 4643, 13517, 630, 9915, 291, 1040, 1323, 9029, 1590, 979, 998, 519, 6142, 2754, 267, 1287, 547, 519, 14146, 518, 781, 4643, 674, 573, 18676, 776, 269, 1403, 1869, 2838, 267, 519, 674, 573, 18676, 776, 781, 3375, 666, 581, 4547, 547, 519, 20430, 5357, 547, 2689, 585, 18317, 26721, 10220, 267, 543, 1287, 3758, 513, 27779, 538, 5313, 5480, 563, 303, 847, 1182, 899, 9066, 267, 2620, 7244, 543, 10649, 723, 1044, 3254, 547, 3866, 1524, 519, 2566, 3210, 269, 769, 476, 1001, 278, 267, 519, 589, 11190, 31045, 27206, 9066, 607, 513, 968, 516, 32208, 6304, 892, 2059, 609, 824, 2994, 585, 4509, 13487, 1072, 269, 3194, 849, 2982, 602, 10649, 10607, 10009, 543, 1973, 2604, 543, 949, 2539, 2295, 2068, 1981, 607, 1454, 607, 1490, 7416, 6972, 563, 23149, 543, 1920, 1072, 6142, 4566, 666, 948, 3382, 9276, 538, 519, 2013, 540, 3978, 2564, 18002, 267, 543, 948, 596, 543, 707, 1920, 3251, 593, 1283, 540, 23833, 1072, 13282, 2533, 269, 11109, 1072, 6142, 3795, 666, 4688, 596, 2724, 593, 4387, 781, 11564, 267, 1095, 18587, 5061, 267, 23833, 1416, 543, 824, 1072, 13282, 2533, 269, 30003, 1072, 6142, 4566, 585, 2043, 1331, 3790, 971, 607, 513, 10865, 14167, 267, 5993, 20952, 1043, 267, 2941, 599, 906, 267, 543, 11113, 4269, 563, 2304, 2810, 1297, 540, 2090, 543, 5359, 689, 1114, 3906, 543, 8658, 4983, 519, 3095, 1137, 1063, 1072, 543, 1114, 2188, 267, 1519, 19824, 267, 5054, 267, 1072, 1416, 3919, 543, 1072, 3609, 267, 835, 1808, 1072, 3609, 4547, 883, 1082, 2477, 538, 2487, 1296, 729, 519, 4367, 540, 519, 4006, 3454, 269, 30094, 720, 9204, 3357, 883, 1769, 609, 2810, 4145, 827, 8377, 267, 3226, 1851, 6107, 269, 17491, 1606, 11548, 2989, 16098, 723, 1831, 513, 3077, 540, 4550, 268, 984, 7295, 7341, 609, 2810, 2963, 540, 741, 3095, 547, 8377, 269, 1700, 971, 607, 519, 476, 3192, 275, 700, 531, 27475, 1867, 689, 4516, 282, 519, 1325, 3139, 320, 6019, 5530, 538, 4993, 282, 543, 519, 3126, 540, 2622, 2657, 18614, 540, 519, 2622, 2657, 9257, 267, 799, 6212, 593, 2518, 1072, 2152, 1519, 1569, 547, 1072, 1416, 543, 5355, 1857, 1072, 4093, 267, 2523, 538, 3384, 2477, 269, 0, 14611, 1315, 16010, 1315, 18738, 6239, 3013, 281, 4706, 4658, 267, 15348, 267, 1656, 3778, 454, 11900, 728, 6239, 3013, 281, 4706, 4658, 267, 15348, 267, 1656, 3778, 454, 11243, 281, 18738, 6239, 3013, 281, 4706, 4658, 267, 15348, 267, 1656, 3778, 454, 17572, 2450, 281, 476, 277, 1428, 3387, 454, 11900, 728, 6239, 3013, 281, 4706, 4658, 267, 15348, 267, 543, 3778, 1496, 5141, 858, 867, 26689, 1380, 316, 593, 13171, 641, 515, 571, 2421, 2593, 2608, 293, 12767, 265, 11288, 593, 27216, 3091, 269, 11929, 1149, 875, 519, 1686, 543, 269, 634, 2835, 538, 519, 20591, 4596, 309, 21068, 595, 7728, 305, 3201, 7537, 2207, 32177, 281, 25886, 267, 623, 25459, 23154, 267, 6730, 543, 606, 4994, 7110, 519, 909, 3562, 15082, 1344, 3177, 1369, 519, 2835, 269, 6608, 267, 1004, 543, 4529, 267, 543, 2101, 4872, 540, 6239, 3013, 269, 476, 1704, 2904, 2475, 16716, 1776, 9514, 1996, 6239, 3013, 1284, 1223, 5660, 519, 27265, 540, 519, 20951, 1014, 1004, 945, 941, 2111, 547, 1491, 10371, 930, 1369, 519, 5428, 1131, 32561, 922, 3140, 9097, 1143, 543, 1246, 645, 8123, 548, 547, 519, 1318, 563, 1691, 4455, 8262, 6066, 3075, 19338, 814, 8452, 538, 6239, 3013, 269, 11572, 4655, 7135, 891, 2042, 269, 3196, 540, 476, 1839, 267, 568, 1447, 982, 3368, 519, 2450, 2838, 267, 3081, 24883, 9093, 5914, 267, 519, 9703, 14012, 269, 898, 568, 811, 552, 6549, 9107, 982, 519, 1866, 267, 543, 2094, 519, 476, 866, 628, 2540, 814, 1500, 606, 4674, 547, 13599, 922, 1004, 269, 27813, 2776, 8725, 568, 513, 7700, 5856, 693, 519, 21244, 5741, 269, 3245, 2394, 18738, 6239, 3013, 281, 4706, 4658, 267, 15348, 267, 543, 3778, 269, 676, 1849, 858, 867, 26689, 1380, 269, 5824, 3013, 1281, 723, 513, 1455, 1686, 855, 543, 782, 519, 2956, 540, 9082, 540, 5053, 16350, 538, 519, 17113, 2253, 547, 1294, 2933, 607, 930, 30980, 892, 729, 2921, 3337, 1369, 513, 2540, 1310, 519, 9069, 1014, 16831, 1137, 1635, 519, 1547, 2540, 3576, 513, 1360, 16517, 2797, 1935, 547, 10747, 5824, 3013, 607, 519, 4586, 275, 5463, 9866, 21665, 3330, 543, 3544, 670, 1180, 32136, 11943, 602, 519, 9550, 1185, 3812, 513, 8978, 13347, 269, 519, 4797, 3310, 540, 1004, 1379, 593, 519, 10754, 540, 5824, 3013, 269, 585, 2797, 15024, 13383, 267, 5824, 4892, 616, 11744, 519, 1280, 519, 1101, 942, 538, 670, 1180, 584, 534, 1686, 267, 713, 9550, 3238, 269, 7433, 585, 6765, 693, 519, 6837, 540, 519, 5824, 1977, 5525, 5948, 630, 299, 3008, 288, 264, 540, 2093, 267, 609, 513, 3575, 540, 5007, 543, 4835, 15314, 267, 538, 513, 2016, 3140, 2796, 269, 1547, 27816, 17898, 29107, 9338, 10621, 2882, 11780, 585, 519, 24447, 6164, 625, 20593, 10885, 11710, 689, 519, 3355, 2804, 543, 2797, 1604, 269, 3371, 568, 513, 5618, 7650, 540, 30571, 534, 1686, 909, 2394, 519, 3735, 476, 736, 628, 2540, 269, 4653, 538, 4432, 30571, 267, 476, 275, 260, 540, 519, 1004, 1378, 476, 2568, 260, 540, 519, 2244, 267, 543, 476, 2412, 260, 540, 1004, 5487, 4223, 24521, 543, 519, 4108, 4341, 799, 4553, 1305, 519, 2797, 3159, 540, 519, 1985, 519, 2112, 267, 543, 909, 547, 3368, 513, 2929, 723, 1044, 7142, 547, 1847, 1369, 519, 2197, 269, 476, 1015, 9484, 2311, 519, 1482, 942, 267, 6239, 12677, 9194, 998, 6792, 2509, 10371, 540, 519, 4683, 27540, 2551, 729, 1500, 909, 540, 1762, 1004, 543, 2021, 26790, 1234, 4621, 30872, 281, 3778, 267, 15257, 543, 6214, 267, 1715, 3840, 269, 634, 1909, 540, 4984, 17146, 13497, 538, 6239, 1977, 6214, 1282, 519, 476, 736, 628, 13595, 281, 3778, 540, 6239, 3013, 267, 5783, 543, 16241, 3778, 267, 13639, 3778, 1547, 9862, 30871, 547, 741, 2757, 14421, 990, 1707, 543, 9703, 17035, 269, 10371, 7931, 3266, 781, 20174, 547, 519, 726, 697, 540, 519, 4057, 543, 8723, 1004, 12544, 4586, 866, 3967, 634, 19784, 594, 15351, 6182, 21034, 4422, 3330, 519, 5409, 8686, 2723, 550, 3075, 7047, 1564, 540, 5824, 3013, 538, 606, 4849, 689, 1010, 1007, 1433, 717, 836, 3122, 2782, 331, 3581, 269, 898, 4956, 602, 14228, 9094, 941, 519, 1655, 1004, 547, 1491, 856, 14228, 9094, 269, 1547, 3683, 519, 2063, 1079, 5756, 267, 891, 6760, 3885, 543, 741, 2828, 538, 6214, 543, 1870, 723, 269, 634, 2136, 22500 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3695, 519, 4241, 1158, 540, 5243, 267, 621, 781, 1898, 1101, 547, 1174, 519, 1523, 540, 2915, 14981, 269, 589, 9742, 4016, 547, 513, 1895, 540, 5243, 602, 2671, 1808, 4162, 4611, 689, 16496, 9960, 6322, 693, 7393, 1978, 7592, 9053, 676, 3425, 269, 1452, 7592, 949, 581, 2168, 10305, 267, 29525, 267, 610, 2324, 5759, 269, 901, 1576, 1770, 12538, 883, 519, 10578, 1686, 267, 11976, 267, 1416, 4170, 267, 8965, 21274, 267, 543, 1514, 6286, 2404, 609, 1114, 11868, 2915, 14981, 269, 1284, 786, 849, 4983, 875, 2029, 7506, 938, 8226, 543, 5872, 609, 891, 3309, 14981, 780, 296, 269, 3778, 540, 13928, 6601, 2644, 454, 288, 269, 7216, 12358, 652, 1709, 910, 16329, 1670, 2963, 5267, 602, 3425, 30042, 3552, 20384, 1472, 476, 736, 267, 1822, 547, 476, 2412, 267, 1822, 1296, 3516, 267, 27510, 519, 1646, 540, 3982, 2915, 14981, 269, 3683, 5553, 267, 998, 5841, 5542, 267, 3425, 8032, 5243, 2687, 547, 741, 2115, 31539, 10122, 4891, 547, 1200, 3429, 15274, 543, 25330, 563, 289, 269, 8564, 633, 6601, 5338, 910, 3414, 6297, 6292, 902, 1759, 593, 5551, 7592, 267, 2038, 1480, 7239, 2813, 7463, 14981, 9862, 547, 1808, 4247, 269, 1280, 3236, 267, 521, 12915, 2432, 941, 2919, 585, 3432, 543, 22231, 1282, 6968, 338, 267, 1247, 15958, 14554, 2968, 2442, 607, 2149, 832, 1813, 547, 741, 2450, 543, 4222, 563, 290, 269, 7073, 19032, 7010, 910, 4653, 267, 3875, 3906, 19665, 2915, 14981, 2687, 547, 3838, 2934, 267, 5301, 267, 543, 8129, 269, 634, 1977, 26366, 601, 11833, 630, 288, 298, 290, 1070, 585, 1383, 267, 11008, 3278, 14981, 883, 5722, 2516, 281, 22505, 532, 267, 670, 895, 267, 11554, 267, 6833, 8175, 267, 23625, 267, 6348, 4149, 1636, 532, 267, 543, 4173, 3429, 269, 4197, 891, 6688, 2337, 17053, 5411, 1118, 5483, 3664, 950, 8939, 513, 5078, 13959, 780, 2862, 269, 18726, 5178, 529, 540, 6601, 539, 20212, 454, 288, 269, 2052, 710, 32081, 910, 25790, 538, 4719, 1382, 723, 8774, 1769, 593, 519, 5027, 9696, 3743, 585, 2189, 9742, 4162, 269, 3962, 2915, 9742, 19299, 513, 1880, 1305, 540, 6090, 12018, 922, 5920, 267, 2623, 267, 543, 1072, 19753, 21752, 563, 289, 269, 6601, 539, 11621, 1299, 21834, 910, 6601, 539, 4441, 7291, 4998, 2168, 543, 2191, 4442, 7907, 269, 1717, 267, 789, 3006, 26777, 1761, 2942, 4539, 513, 8427, 16953, 3684, 540, 7050, 538, 3691, 5338, 2838, 547, 2226, 891, 4441, 269, 9182, 267, 930, 14981, 7985, 2362, 3928, 540, 15110, 3676, 982, 1866, 269, 13786, 1043, 9742, 619, 11441, 547, 7413, 891, 4220, 1510, 18731, 9742, 8699, 563, 290, 269, 24021, 16370, 910, 2637, 5669, 4152, 2636, 8446, 540, 1808, 4719, 12508, 5532, 547, 14909, 7592, 610, 2068, 18687, 269, 6270, 2645, 5351, 5683, 9960, 2853, 267, 4180, 1312, 11091, 540, 9742, 1915, 543, 13319, 540, 2949, 22578, 8171, 780, 7656, 269, 5516, 21976, 21661, 6601, 2644, 454, 288, 269, 11644, 20126, 910, 7756, 14981, 8858, 8795, 3635, 7569, 4470, 593, 741, 3140, 3252, 269, 4400, 20589, 14981, 899, 27079, 7502, 625, 2154, 2834, 2790, 543, 2168, 14242, 267, 6466, 1970, 268, 13808, 14981, 971, 607, 10089, 671, 9233, 8853, 593, 1447, 7920, 2238, 563, 289, 269, 717, 3336, 532, 1299, 20904, 910, 3213, 520, 1826, 267, 3259, 267, 543, 17766, 3270, 4268, 3648, 1851, 14981, 267, 18363, 25462, 4908, 543, 6988, 269, 31701, 724, 8529, 14981, 28173, 3232, 17678, 267, 1247, 2110, 18396, 730, 14981, 1522, 1152, 2154, 17573, 28876, 563, 290, 269, 715, 26798, 19047, 910, 26678, 4170, 8428, 2066, 14981, 1813, 547, 2188, 971, 607, 2450, 267, 2085, 267, 2534, 1377, 267, 543, 10307, 2557, 269, 21278, 7059, 6484, 3358, 547, 1367, 9742, 2115, 5849, 6099, 2208, 543, 5826, 2429, 1272, 5933, 780, 4353, 269, 19884, 570, 754, 4293, 10738, 6601, 2644, 454, 288, 269, 2382, 3307, 783, 3004, 1080, 910, 3509, 5615, 17820, 676, 2413, 2915, 14981, 6565, 689, 741, 3312, 3483, 269, 4825, 4471, 951, 6923, 23074, 3615, 1813, 547, 741, 10122, 4282, 267, 1247, 13184, 27369, 14981, 4159, 8825, 26756, 4724, 9228, 6937, 563, 289, 269, 9751, 12694, 910, 2368, 14981, 1459, 2189, 2866, 2591, 19962, 547, 7915, 2191, 14613, 610, 15859, 783, 11479, 269, 18763, 17024, 899, 5178, 523, 329, 529, 543, 590, 9200, 1014, 670, 23677, 625, 949, 2154, 3860, 15699, 2994, 3379, 547, 811, 11235, 3562, 268, 921, 848, 14981, 563, 290, 269, 4317, 1436, 11957, 910, 17859, 540, 9742, 267, 2038, 23462, 3788, 2629, 585, 3384, 1134, 25454, 2043, 5827, 540, 10188, 3309, 5054, 6707, 269, 28038, 29067, 547, 1585, 3871, 267, 1004, 267, 2831, 267, 543, 2833, 11942, 6043, 543, 13916, 780, 309, 269, 5081, 13926, 20480, 540, 13928, 6601, 2644, 454, 288, 269, 15019, 640, 1299, 9012, 21478, 910, 15742, 14981, 2744, 8560, 1813, 547, 2923, 4598, 610, 2686, 7375, 267, 3056, 547, 2799, 3747, 543, 26516, 4539, 971, 607, 936, 28134, 610, 3352, 22529, 1043, 9960, 2853, 563, 289, 269, 18489, 3175, 1299, 26521, 910, 16700, 935, 8526, 4478, 1808, 14981, 1419, 1267, 538, 25641, 9086, 13389, 865, 10777, 834, 323, 836, 2730, 257, 14981, 269, 15845, 2982, 602, 9742, 10391, 4031, 3111, 547, 2569, 11116, 13685, 3927, 267, 20872, 7125, 585, 811, 13857, 4485, 10704, 593, 8227, 5539, 543, 3662, 10304, 563, 290, 269, 19078, 19047, 910, 19805, 513, 2915, 9742, 3322, 20604, 1896, 2188, 3564, 15312, 267, 1519, 17356, 609, 6197, 267, 2139, 2200, 267, 543, 7029, 547, 5870, 2189, 9742, 2115, 269, 1635, 1818, 5483, 5079, 267, 17053, 5411, 3565, 9797, 547, 519, 5571, 4720, 543, 8171, 540, 6469, 5243, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 16920, 16307, 5685, 577, 5129, 676, 27068, 3212, 1188, 568, 513, 15818, 543, 513, 11097, 1077, 269, 1306, 18238, 543, 11518, 1448, 856, 267, 9090, 946, 8755, 896, 971, 2175, 8259, 8755, 568, 711, 4847, 269, 9523, 634, 31001, 15232, 1107, 476, 272, 4303, 609, 707, 2828, 269, 7151, 6029, 519, 670, 8008, 292, 29149, 5149, 7126, 3693, 538, 519, 1585, 11890, 281, 7126, 281, 21849, 1344, 827, 2924, 4371, 538, 543, 936, 519, 4015, 6221, 269, 6875, 513, 1279, 267, 2620, 1394, 321, 754, 899, 29154, 571, 610, 5455, 1189, 674, 5217, 13928, 547, 12701, 856, 707, 28882, 7077, 543, 547, 556, 13449, 707, 9221, 269, 1403, 596, 723, 513, 27089, 656, 26519, 11360, 540, 476, 274, 713, 1747, 568, 14222, 2673, 547, 782, 519, 15805, 18845, 2943, 2484, 2614, 547, 2661, 899, 519, 18008, 269, 1411, 666, 4647, 621, 585, 1863, 267, 21160, 621, 543, 946, 621, 607, 1279, 596, 1616, 269, 4475, 519, 31831, 2501, 585, 536, 7749, 7097, 2319, 28183, 3791, 942, 543, 713, 942, 519, 1279, 532, 267, 1726, 3387, 1782, 9997, 5170, 693, 519, 4463, 547, 799, 519, 1732, 1582, 814, 24850, 621, 267, 543, 3623, 1836, 26342, 602, 621, 991, 711, 723, 1044, 5641, 1524, 269, 1703, 616, 930, 17498, 1938, 547, 1346, 1279, 9397, 267, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 291, 690, 6601, 2644, 257, 607, 851, 540, 834, 16300, 13493, 1315, 12292, 1315, 17268, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 1691, 281, 4197, 9796, 2651, 543, 922, 11957, 692, 5331, 596, 4312, 3323, 707, 1378, 21097, 1796, 267, 543, 621, 781, 1044, 3257, 1390, 256, 1411, 2811, 9513, 865, 1082, 11680, 602, 596, 1631, 991, 948, 689, 2828, 547, 25837, 19790, 976, 267, 3575, 4006, 267, 543, 4196, 5561, 269, 6969, 596, 917, 621, 267, 596, 723, 1004, 2324, 585, 596, 267, 543, 789, 991, 547, 1205, 6976, 269, 2334, 781, 1141, 834, 335, 599, 2651, 257, 2501, 883, 1404, 780, 28324, 2651, 568, 3274, 519, 1184, 540, 9878, 5520, 585, 741, 960, 269, 898, 1522, 3280, 2653, 693, 1101, 267, 855, 972, 616, 1082, 1919, 547, 2015, 899, 875, 1454, 547, 2628, 873, 267, 950, 547, 2628, 873, 267, 543, 4180, 9204, 616, 7157, 20952, 539, 543, 11643, 269, 3767, 4952, 952, 707, 21097, 1796, 3587, 2442, 782, 936, 4884, 267, 1256, 538, 824, 4872, 1107, 5883, 11033, 2066, 1114, 4025, 1131, 1831, 3833, 7294, 256, 901, 568, 2147, 547, 1018, 2462, 4213, 3068, 950, 789, 2308, 1004, 538, 1585, 2694, 540, 519, 1158, 269, 1358, 1590, 2327, 3025, 4991, 6976, 8308, 543, 16425, 1247, 1739, 1142, 3148, 781, 2189, 3652, 543, 6042, 780, 2467, 616, 1896, 3344, 3238, 538, 4509, 513, 1697, 2628, 2651, 1062, 1384, 272, 269, 2878, 15612, 908, 654, 1137, 4995, 9122, 593, 2188, 899, 3108, 5249, 267, 2816, 5107, 267, 543, 11650, 1063, 12820, 543, 5520, 267, 13848, 1590, 581, 7229, 5402, 269, 1280, 3236, 267, 930, 4600, 949, 4309, 6378, 23269, 267, 1247, 1866, 7118, 5662, 569, 3928, 610, 862, 3827, 1759, 593, 6455, 780, 273, 269, 2878, 291, 9254, 2388, 1299, 12525, 525, 4995, 14146, 619, 1419, 1491, 856, 2724, 585, 3688, 971, 607, 4747, 9204, 267, 1514, 3354, 7418, 267, 1072, 6142, 14167, 338, 267, 610, 27404, 4566, 1354, 4758, 519, 3803, 8569, 547, 5520, 269, 3962, 2197, 786, 723, 922, 1808, 4170, 3823, 891, 17429, 2388, 780, 274, 269, 2878, 4467, 20869, 4995, 5272, 1858, 814, 922, 4074, 4031, 8720, 3584, 899, 5934, 13230, 267, 5021, 960, 3108, 267, 543, 16601, 4734, 4507, 269, 23496, 2407, 10220, 609, 891, 4031, 568, 2629, 547, 9319, 20507, 543, 3656, 2152, 780, 275, 269, 2878, 13434, 867, 18227, 4995, 6452, 23847, 5638, 540, 9441, 15271, 267, 17429, 2388, 267, 543, 2640, 616, 1898, 269, 1452, 6054, 4217, 1312, 6105, 3950, 2883, 8852, 543, 4196, 607, 6169, 1282, 32116, 610, 13882, 780, 3086, 12997, 267, 2029, 4249, 513, 1713, 1909, 538, 4543, 4213, 4383, 3486, 2628, 2651, 7561, 269, 1635, 1210, 4359, 3301, 5867, 2966, 4481, 585, 713, 3483, 267, 3549, 666, 25117, 1034, 4247, 267, 2569, 6959, 267, 543, 4688, 3407, 942, 269, 5047, 267, 9363, 909, 3562, 15082, 609, 4657, 6042, 3587, 4443, 2094, 7426, 5781, 9337, 741, 1949, 9935, 780, 3383, 1985, 942, 596, 2972, 513, 3579, 4837, 540, 21097, 267, 3314, 602, 4881, 513, 3811, 1870, 3322, 811, 982, 1175, 11544, 5820, 282, 621, 3340, 6297, 4058, 543, 11056, 540, 3157, 899, 4977, 2628, 2651, 2359, 1932, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21202, 18435, 302, 779, 21887, 593, 1548, 9894, 14466, 11535, 6820, 9796, 2651, 13242, 1677, 2142, 595, 6817, 7498, 303, 777, 11535, 6820, 779, 3760, 29776, 2518, 13781, 2359, 585, 3549, 267, 1818, 2386, 10220, 609, 6237, 6042, 543, 3454, 4031, 269, 4256, 2533, 1331, 2628, 2651, 4393, 267, 2640, 7245, 267, 10220, 23388, 267, 942, 543, 4527, 9477, 267, 543, 15679, 6351, 269, 634, 3760, 3844, 3278, 5001, 2628, 2651, 4238, 267, 5356, 3906, 609, 1483, 6066, 4030, 543, 1852, 269, 5853, 539, 538, 476, 1001, 277, 267, 14466, 11535, 6820, 814, 3376, 2989, 547, 20052, 2997, 643, 267, 1715, 3840, 4975, 267, 5507, 267, 543, 918, 773, 341, 563, 1103, 519, 6422, 5251, 540, 2518, 3028, 4238, 267, 7829, 2628, 2651, 2429, 10665, 666, 581, 513, 1950, 543, 4101, 2816, 269, 1306, 519, 12751, 11038, 20229, 630, 20003, 302, 264, 540, 513, 5001, 1870, 267, 594, 10146, 519, 4105, 2956, 540, 3608, 543, 5360, 5050, 2628, 2651, 2359, 269, 769, 938, 13287, 540, 17284, 267, 649, 723, 2965, 17947, 5499, 3435, 547, 20928, 938, 5773, 267, 543, 835, 971, 13710, 1907, 568, 12229, 3498, 563, 763, 744, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5053, 25724, 610, 932, 584, 3419, 826, 637, 4302, 2511, 269, 2201, 519, 1292, 834, 289, 867, 320, 257, 1773, 18054, 267, 519, 5939, 729, 3710, 1063, 476, 11260, 272, 543, 476, 11260, 279, 676, 8277, 632, 3288, 645, 867, 320, 538, 14696, 585, 519, 1390, 5763, 646, 9715, 538, 12525, 1723, 563, 26765, 754, 814, 621, 602, 1310, 645, 867, 320, 20827, 519, 5939, 267, 646, 2451, 593, 513, 1870, 7552, 543, 513, 4411, 267, 4158, 32049, 7088, 1671, 4240, 269, 634, 6607, 4904, 609, 4158, 12269, 543, 513, 30021, 540, 17500, 25139, 513, 4158, 3623, 17924, 8291, 602, 729, 2220, 334, 14563, 1524, 593, 519, 5939, 543, 1287, 621, 13351, 519, 26434, 543, 1769, 538, 909, 538, 513, 9490, 1259, 269, 634, 30115, 834, 10908, 800, 547, 2696, 538, 519, 5207, 543, 4708, 593, 3618, 585, 2367, 609, 1434, 786, 257, 7902, 543, 782, 519, 10034, 15161, 8593, 593, 741, 19704, 547, 7281, 269, 589, 4190, 4807, 609, 513, 10726, 881, 12837, 849, 7902, 538, 519, 6607, 543, 945, 729, 20414, 17500, 31211, 1354, 789, 5734, 519, 5939, 563, 12709, 540, 8277, 632, 3288, 645, 867, 320, 543, 9754, 540, 10723, 1148, 543, 2199, 23477, 267, 849, 3984, 547, 1433, 1129, 902, 267, 14364, 267, 30145, 563, 19365, 14109, 520, 1782, 7467, 454, 1607, 9754, 10525, 14109, 520, 1782, 781, 4015, 540, 476, 27840, 18840, 1670, 4773, 267, 607, 1134, 607, 513, 4015, 540, 4831, 10623, 527, 13742, 563, 300, 2224, 334, 632, 1488, 974, 5164, 516, 1400, 630, 309, 545, 518, 5819, 264, 538, 519, 595, 14505, 670, 3518, 1245, 339, 454, 290, 14505, 670, 3518, 1245, 339, 267, 513, 5449, 7961, 267, 729, 3957, 585, 4436, 5856, 267, 2067, 626, 267, 2520, 19212, 267, 543, 24413, 31578, 12138, 966, 517, 670, 3518, 1245, 339, 945, 2899, 18423, 972, 269, 634, 9754, 3568, 7810, 1974, 1148, 543, 13742, 267, 1082, 689, 645, 867, 320, 781, 1753, 563, 26596, 1530, 30807, 1014, 5783, 454, 22479, 8759, 16114, 6403, 338, 9874, 2558, 514, 21059, 454, 299, 11343, 593, 519, 1773, 1794, 21731, 1642, 513, 7638, 659, 745, 345, 267, 713, 5939, 3568, 513, 4583, 3239, 540, 2441, 12183, 24887, 267, 834, 763, 4937, 2437, 602, 5515, 30326, 538, 519, 6153, 11016, 1184, 687, 269, 634, 726, 18054, 814, 20375, 547, 31075, 20844, 22859, 714, 632, 1325, 541, 935, 563, 5522, 18054, 1642, 1401, 268, 3519, 1203, 334, 630, 528, 1401, 5336, 517, 2120, 344, 264, 5842, 12672, 611, 3626, 632, 590, 1329, 320, 454, 4002, 713, 726, 18054, 596, 786, 1265, 519, 1401, 268, 3519, 1203, 334, 5842, 12672, 611, 3626, 632, 590, 1329, 320, 543, 519, 5842, 12672, 611, 3626, 632, 590, 1329, 320, 5939, 269, 1452, 2099, 519, 9510, 5939, 543, 27694, 538, 519, 1858, 267, 9112, 538, 519, 3735, 476, 5611, 271, 338, 269, 634, 5939, 3568, 1079, 4583, 10367, 267, 595, 2077, 334, 632, 17485, 1773, 831, 657, 630, 13731, 540, 519, 18234, 20709, 264, 543, 4432, 7354, 528, 1642, 16114, 334, 9980, 1512, 549, 630, 299, 867, 540, 519, 10513, 8738, 658, 1916, 22068, 591, 4103, 7467, 630, 300, 2224, 334, 632, 3288, 1773, 831, 17144, 454, 12901, 580, 340, 334, 15718, 2863, 600, 1304, 334, 630, 24874, 16011, 8065, 994, 1607, 2679, 729, 9112, 538, 519, 3735, 476, 10204, 271, 338, 543, 568, 4092, 593, 1773, 18054, 632, 2961, 5371, 518, 6403, 553, 269, 29247, 513, 3643, 547, 1294, 519, 11204, 1686, 544, 1116, 676, 13198, 857, 8457, 16410, 516, 571, 563, 293, 13904, 585, 519, 16961, 32267, 24603, 676, 21293, 632, 932, 822, 541, 686, 9508, 563, 290, 14505, 632, 20844, 22859, 714, 632, 1325, 2117, 11252, 454, 12709, 540, 476, 1626, 628, 2540, 5856, 267, 713, 9754, 3568, 1082, 22251, 689, 519, 7810, 5736, 563, 295, 659, 328, 12629, 4432, 932, 528, 18115, 334, 454, 17746, 1192, 539, 676, 7980, 540, 23634, 15530, 267, 670, 659, 328, 12629, 4432, 932, 528, 18115, 334, 568, 835, 540, 9510, 538, 3148, 543, 6039, 607, 835, 540, 519, 2038, 8988, 554, 659, 328, 31789, 689, 7810, 1974, 269, 898, 729, 11751, 676, 5261, 14109, 520, 1782, 538, 519, 2038, 476, 5002, 271, 338, 267, 543, 4867, 621, 568, 1753, 547, 519, 4741, 585, 20963, 8551, 543, 519, 4659, 540, 9177, 540, 2871, 518, 516, 549, 563, 307, 328, 1481, 529, 632, 3288, 1773, 1092, 454, 28716, 8988, 11925, 4092, 2059, 2836, 548, 5842, 3397, 755, 514, 267, 1265, 8988, 2264, 609, 811, 982, 476, 736, 14446, 543, 5386, 15022, 3512, 566, 971, 607, 8405, 331, 2167, 267, 1274, 337, 902, 267, 25231, 7410, 267, 14034, 267, 22613, 543, 3504, 3615, 609, 840, 6953, 529, 13732, 18305, 269, 634, 1034, 4583, 616, 519, 11925, 540, 12253, 25385, 514, 6242, 267, 2871, 650, 1069, 334, 1488, 2958, 14241, 543, 2506, 23158, 10011, 21034, 269, 769, 1840, 547, 519, 8988, 2264, 267, 972, 616, 588, 8712, 1472, 519, 4099, 1141, 596, 666, 849, 6718, 563, 295, 8432, 10432, 630, 306, 655, 3570, 13244, 994, 295, 8432, 10432, 2882, 1082, 1184, 687, 543, 2238, 269, 634, 1184, 542, 540, 519, 6755, 527, 550, 525, 568, 2189, 547, 12525, 1723, 563, 5472, 29513, 267, 2353, 27804, 3149, 543, 808, 636, 559, 16635, 454, 4322, 1614, 13037, 27721, 1282, 519, 1101, 1614, 2395, 540, 5437, 454, 297, 636, 3796, 616, 519, 1292, 2686, 1426, 540, 12525, 1723, 269, 1452, 1507, 588, 1074, 12961, 630, 4263, 714, 625, 3454, 1723, 18424, 264, 616, 5423, 538, 513, 3099, 540, 2081, 543, 1256, 723, 741, 1378, 16635, 1642, 808, 636, 559, 593, 5437, 476, 272, 560, 538, 12525, 1723, 563, 290, 762, 2961, 630, 5938, 548, 325, 2946, 878, 334, 994, 5804, 519, 670, 659, 328, 12629, 4432, 932, 528, 18115, 334, 267, 596, 666, 1491, 513, 10814, 1286, 909, 547, 519, 1283, 540, 22757, 632, 12525, 1723, 269, 476, 8517, 7397, 1279, 543, 476, 15876, 7397, 909, 563, 288, 548, 329, 663, 549, 670, 3518, 1245, 339, 2817, 5244, 454, 301, 22022, 476, 7742, 271, 14143, 540, 8733, 15395, 585, 19482, 267, 22742, 543, 824, 9205, 2238, 563, 307, 1314, 1723, 4432, 966, 773, 14765, 454, 28716, 6196, 12525, 1723, 543, 1294, 519, 1401, 6953, 659, 328, 12629, 5842, 20844, 645, 2246, 16695, 799, 729, 3710, 538, 476, 15150, 274, 538, 519, 2511, 540, 513, 10120, 14500, 563, 299, 11343, 538, 2311, 345, 8403, 267, 476, 1626, 5998, 22236, 540, 12525, 1723, 267, 9791, 7313, 345, 553, 568, 513, 2067, 838, 320, 1500, 676, 513, 6908, 4947, 1524, 689, 519, 7823, 269, 901, 568, 849, 513, 1390, 1747, 547, 30382, 563, 763, 595, 659, 531, 582, 523, 24546, 4826, 6420, 454, 763, 1216, 8813, 689, 936, 476, 3199, 7397, 909, 269, 634, 1858, 3091, 3255, 585, 19482, 267, 6177, 8384, 267, 543, 7504, 3724, 14964, 269, 28210, 827, 476, 1428, 5998, 7178, 540, 12525, 1723, 563, 763, 595, 659, 24660, 7056, 11985, 595, 2314, 540, 595, 659, 24660, 7056, 11985, 2817, 5244, 454, 301, 677, 8603, 540, 12525, 1723, 267, 891, 616, 930, 540, 519, 4102, 13946, 1949, 538, 519, 1158, 563, 290, 2077, 334, 1642, 31762, 549, 2311, 25764, 454, 1607, 9649, 18533, 540, 4906, 568, 4092, 593, 519, 31762, 549, 2311, 5995, 2282, 519, 16629, 24660, 919, 8378, 269, 634, 2070, 689, 519, 595, 2077, 334, 568, 20498, 267, 607, 596, 666, 1294, 5176, 519, 3003, 2749, 543, 856, 2391, 1858, 563, 299, 11343, 1063, 19923, 1716, 822, 20403, 543, 12525, 1723, 267, 2473, 5255, 673, 1723, 18840, 1670, 3135, 9356, 513, 19427, 540, 1855, 582, 8811, 340, 659, 534, 267, 2904, 534, 267, 2098, 777, 1774, 322, 543, 4223, 26245, 345, 4532, 320, 4529, 269, 2311, 922, 8445, 1063, 476, 10384, 543, 476, 12010, 9460, 267, 621, 568, 2219, 602, 519, 2749, 1185, 513, 2551, 540, 909, 547, 476, 736, 267, 1822, 1004, 269, 1763, 6342, 540, 7404, 19923, 25366, 29347, 1869, 3717, 715, 24660, 520, 331, 269, 2290, 540, 519, 1034, 4277, 1919, 547, 1995, 693, 2473, 5255, 673, 1723, 568, 519, 24666, 2616, 2218, 269, 9737, 4989, 476, 1789, 628, 543, 4864, 476, 1428, 628, 267, 513, 3391, 786, 1491, 596, 883, 519, 883, 519, 13946, 1141, 621, 568, 4092, 267, 543, 596, 666, 1294, 875, 519, 543, 7943, 13788, 519, 13946, 689, 519, 8559, 693, 519, 1283, 269, 901, 2616, 2218, 21697, 519, 3141, 781, 3350, 2509, 519, 570, 22241, 540, 9435, 269, 2201, 2904, 476, 1691, 628, 610, 476, 1428, 628, 543, 5147, 476, 2764, 628, 610, 476, 3066, 628, 267, 519, 3141, 568, 693, 922, 1990, 523, 603, 543, 519, 11237, 540, 1769, 31438, 2047, 689, 1657, 519, 8559, 5196, 519, 6989, 540, 519, 13946, 269, 634, 8666, 547, 519, 1318, 2982, 519, 13675, 547, 519, 13946, 563, 10287, 19814, 476, 4817, 291, 2509, 19923, 1716, 822, 20403, 269, 10426, 19923, 1716, 822, 659, 543, 4584, 909, 19814, 476, 4817, 2509, 12525, 1723, 563, 5804, 519, 5045, 12363, 693, 519, 12525, 4302, 29823, 1558, 549, 3247, 267, 596, 666, 1491, 835, 540, 513, 1297, 540, 1668, 6050, 547, 12525, 1723, 281, 28358, 3120, 267, 5695, 626, 541, 267, 6480, 20255, 2349, 4545, 320, 267, 22728, 7412, 610, 6480, 20255, 632, 744, 549, 269, 0, 18933, 3558, 24124, 630, 303, 23307, 636, 2205, 326, 23628, 700, 4700, 568, 513, 3345, 1977, 6371, 602, 15225, 5318, 4719, 4763, 2066, 922, 13664, 2039, 269, 769, 519, 17368, 14665, 2475, 267, 2199, 6467, 24124, 5095, 941, 11658, 547, 513, 7522, 9381, 7997, 1354, 3864, 11175, 267, 855, 1699, 5095, 9468, 24654, 4155, 2357, 2471, 9870, 2055, 827, 741, 5169, 543, 11976, 269, 1452, 2055, 616, 1271, 1317, 6467, 24124, 3515, 609, 3209, 7592, 616, 1373, 16916, 607, 513, 6915, 325, 3241, 3049, 18450, 267, 543, 5444, 2095, 1223, 1764, 519, 4719, 8699, 543, 3892, 540, 2199, 5095, 269, 901, 1353, 729, 2966, 547, 3313, 952, 281, 476, 272, 264, 6467, 24124, 2371, 6394, 538, 519, 7043, 6816, 14675, 26066, 8899, 1633, 9381, 5426, 10001, 3235, 648, 326, 542, 6719, 2199, 5095, 267, 543, 476, 273, 264, 6467, 24124, 2371, 6394, 689, 4155, 2357, 2471, 538, 519, 11105, 24654, 4525, 941, 1034, 5702, 1644, 547, 2199, 9381, 5095, 610, 6467, 24124, 689, 824, 13664, 4525, 269, 634, 1353, 1031, 476, 1240, 31442, 520, 22972, 12508, 547, 18505, 519, 4719, 3347, 1063, 476, 14338, 6394, 6467, 24124, 2371, 543, 513, 4704, 10471, 9967, 540, 476, 2764, 28212, 8204, 3235, 8040, 267, 726, 1355, 344, 2157, 267, 543, 1899, 1137, 689, 3345, 3013, 269, 11778, 4951, 602, 476, 10019, 260, 540, 476, 6434, 2371, 6394, 538, 519, 9381, 2371, 941, 1034, 5702, 13988, 609, 519, 8899, 1633, 25543, 30666, 4719, 7535, 269, 7324, 713, 1895, 267, 476, 8618, 9381, 2371, 941, 2147, 547, 267, 855, 3982, 689, 267, 782, 8899, 1633, 25543, 30666, 28212, 538, 519, 4704, 10471, 3056, 547, 519, 25084, 540, 513, 4719, 1016, 1790, 641, 1637, 1572, 519, 8828, 1715, 4789, 8899, 1633, 570, 25523, 680, 6950, 269, 769, 4334, 267, 476, 6858, 260, 540, 476, 4097, 2371, 6394, 538, 4155, 2357, 2471, 538, 519, 24654, 3235, 648, 326, 687, 941, 1034, 2147, 547, 1079, 772, 680, 663, 12354, 6955, 1355, 28212, 282, 1152, 476, 2190, 260, 540, 4155, 2515, 2371, 941, 8899, 1633, 25543, 30666, 269, 1452, 2164, 2303, 602, 6939, 545, 267, 1875, 2000, 5914, 1024, 8040, 2291, 538, 4155, 2357, 2471, 543, 602, 5444, 2095, 689, 6915, 30669, 24914, 1223, 3565, 547, 2417, 2242, 538, 6467, 24124, 2551, 11976, 538, 519, 29036, 563, 290, 2787, 281, 661, 14982, 717, 267, 2098, 531, 23981, 808, 267, 589, 21838, 595, 630, 1001, 276, 264, 22732, 24124, 630, 303, 23307, 636, 2205, 326, 23628, 700, 4700, 2637, 8040, 5262, 518, 1063, 26066, 26317, 543, 769, 1633, 10003, 4856, 5090, 832, 538, 519, 17368, 14665, 2475, 269, 12813, 24382, 21450, 476, 1015, 263, 277, 2567, 552, 25320, 271, 6078, 275, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 15389, 272, 10768, 16067, 4877, 821, 269, 25320, 271, 6078, 275, 454, 29394, 281, 2473, 807, 4040, 623, 836, 267, 19864, 32645, 2160, 267, 8863, 2562, 288, 454, 3725, 18727, 281, 5130, 476, 736, 267, 476, 1001, 276, 282, 20504, 539, 281, 2904, 476, 736, 267, 476, 1001, 276, 282, 15618, 281, 4873, 476, 1789, 267, 476, 1001, 276, 454, 1607, 568, 606, 1930, 1569, 2376, 267, 1863, 540, 782, 10677, 267, 543, 949, 581, 11884, 25735, 267, 7856 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 581, 556, 268, 4310, 2864, 982, 2366, 547, 2244, 6445, 267, 799, 568, 1259, 811, 10357, 7888, 563, 5719, 548, 1540, 6119, 666, 1869, 581, 27366, 689, 513, 2182, 5397, 609, 2027, 2213, 3301, 269, 1809, 1239, 2144, 5501, 30001, 782, 6475, 1227, 6592, 1239, 543, 7670, 27866, 621, 609, 4351, 9352, 1344, 563, 763, 6820, 4578, 1975, 1877, 568, 519, 2179, 540, 1239, 2813, 267, 9676, 267, 543, 556, 6088, 538, 1022, 2016, 1032, 2066, 519, 1158, 269, 9517, 290, 6811, 602, 519, 6820, 4578, 1975, 1877, 786, 811, 982, 5595, 547, 606, 6059, 476, 11260, 2098, 9116, 17879, 5052, 676, 476, 1708, 276, 563, 4415, 2799, 1239, 2501, 2799, 1239, 17403, 269, 1323, 6059, 1269, 275, 269, 2190, 2929, 568, 519, 2518, 3328, 13258, 540, 513, 1239, 21556, 269, 4578, 2144, 5501, 2337, 14540, 2061, 1239, 23563, 543, 16783, 609, 22637, 4031, 269, 4563, 321, 3881, 2488, 519, 1034, 10427, 1239, 2914, 31441, 3070, 593, 519, 2344, 2221, 563, 3963, 568, 1239, 2144, 5501, 2556, 585, 14540, 888, 295, 871, 619, 7683, 3077, 9608, 5772, 16666, 6176, 630, 303, 2862, 1040, 623, 2862, 568, 1344, 602, 1102, 619, 519, 3961, 540, 606, 1367, 2901, 2047, 610, 18549, 563, 10574, 2144, 5501, 30001, 623, 2862, 865, 602, 3549, 666, 19074, 610, 1191, 961, 3457, 1510, 18731, 7834, 269, 898, 849, 6971, 5907, 3653, 563, 763, 2208, 540, 10509, 543, 6213, 1239, 543, 519, 14438, 540, 3457, 723, 1500, 1239, 2144, 5501, 8078, 2218, 538, 2221, 779, 1158, 563, 1432, 616, 519, 2640, 540, 1239, 9552, 888, 294, 4261, 906, 267, 17864, 543, 6144, 919, 782, 1631, 946, 1239, 2144, 5501, 3301, 547, 834, 30236, 257, 741, 10509, 269, 1656, 972, 616, 5458, 2640, 281, 14540, 2057, 7372, 22717, 585, 1875, 10687, 20869, 269, 1358, 849, 2057, 8088, 1049, 543, 6216, 3441, 3361, 676, 2530, 540, 7817, 3972, 269, 4578, 32280, 849, 2337, 538, 519, 4339, 1996, 6880, 13062, 830, 543, 12611, 563, 7093, 1203, 4578, 6601, 778, 912, 2414, 2057, 1239, 23563, 267, 4213, 991, 547, 1174, 519, 3354, 12178, 789, 3068, 269, 1358, 991, 547, 646, 539, 519, 9963, 6786, 540, 513, 1761, 6880, 3430, 871, 269, 11109, 519, 3617, 267, 2413, 3354, 2645, 543, 2029, 538, 1747, 568, 1898, 585, 1239, 21556, 6604, 269, 1879, 1239, 17403, 4386, 538, 513, 2754, 267, 519, 3441, 568, 7361, 26464, 269, 4107, 12936, 4213, 3111, 1369, 3275, 1310, 513, 1239, 10071, 269, 1306, 519, 6031, 4422, 267, 6604, 568, 1732, 982, 10826, 563, 19968, 525, 602, 4688, 543, 6023, 2123, 1239, 1590, 16783, 609, 4937, 4578, 10466, 19938, 630, 294, 7894, 305, 1040, 4578, 23563, 1611, 13075, 610, 7214, 3959, 2530, 543, 666, 1291, 547, 2929, 1673, 20683, 22717, 269, 7577, 8088, 725, 616, 593, 519, 1899, 269, 13751, 2591, 616, 942, 10438, 543, 14427, 563, 19968, 525, 666, 2149, 2933, 689, 891, 676, 21006, 1239, 543, 5909, 4328, 789, 723, 2944, 865, 563, 289, 8681, 1871, 666, 7985, 689, 1239, 23563, 267, 799, 666, 3310, 7082, 7180, 543, 2671, 3902, 269, 4340, 547, 6465, 16695, 476, 1708, 274, 267, 972, 941, 476, 1691, 269, 4281, 13006, 1239, 23563, 538, 1627, 274, 540, 476, 1708, 273, 269, 8668, 26291, 5359, 602, 3354, 13685, 616, 1524, 476, 1691, 269, 279, 260, 689, 476, 1708, 272, 2157, 269, 634, 4080, 1651, 573, 1878, 538, 519, 1101, 3368, 540, 476, 1708, 274, 849, 3100, 547, 723, 12628, 3648, 563, 2252, 707, 1870, 3096, 6075, 1239, 267, 621, 781, 4105, 585, 922, 2104, 1967, 547, 723, 513, 5150, 1239, 2359, 4640, 269, 24371, 7092, 513, 1857, 1239, 21556, 786, 917, 971, 606, 2680, 666, 6861, 741, 6041, 269, 1677, 2061, 1651, 573, 1878, 899, 713, 609, 707, 1870, 267, 621, 781, 1655, 547, 16783, 609, 782, 3617, 10350, 563, 10574, 23563, 666, 512, 7568, 880, 513, 2754, 781, 10639, 585, 1296, 269, 6987, 2400, 6725, 543, 1857, 1894, 3646, 616, 2877, 547, 7816, 519, 3441, 563, 10574, 7834, 568, 2629, 689, 1312, 513, 10220, 543, 7082, 2924, 29459, 269, 3117, 28366, 1871, 519, 2956, 540, 1239, 7834, 538, 2221, 781, 1239, 12454, 2486, 269, 4256, 21341, 593, 3549, 547, 6023, 741, 1239, 814, 24111, 269, 5029, 31907, 786, 581, 1732, 2111, 547, 2743, 1239, 7834, 13800, 543, 16783, 609, 2872, 6042, 952, 7834, 568, 693, 519, 2295, 540, 741, 3157, 543, 4507, 563, 2252, 596, 723, 1022, 2055, 827, 4563, 321, 3881, 4347, 775, 543, 875, 649, 666, 948, 596, 267, 798, 711, 19292, 547, 1205, 538, 5905, 609, 519, 2319, 676, 14467, 519, 3095, 2630, 563, 4462, 6674, 519, 1761, 540, 16335, 9657, 585, 707, 1870, 269, 8281, 938, 3102, 3043, 1957, 547, 2744, 3407, 4030, 543, 8810, 21249, 2994, 269, 7665, 4476, 20656, 1247, 1818, 513, 2318, 2825, 1764, 269, 0, 28657, 568, 835, 540, 519, 1655, 3872, 2477, 538, 519, 1158, 269, 1717, 267, 596, 949, 711, 917, 3875, 5013, 827, 519, 4279, 6519, 3345, 256, 4653, 267, 649, 2461, 10203, 1524, 476, 4510, 9670, 543, 20868, 8225, 5013, 602, 596, 4440, 4769, 1406, 917, 827, 563, 272, 269, 3683, 476, 736, 260, 540, 23671, 616, 4914, 23899, 2336, 6097, 547, 10803, 4516, 267, 5176, 476, 278, 2929, 23671, 941, 4535, 538, 1776, 2197, 630, 28657, 779, 2551, 729, 476, 4391, 269, 6187, 2929, 1040, 1306, 513, 1267, 267, 4516, 568, 519, 1034, 3309, 2197, 1851, 519, 717, 278, 6082, 256, 4107, 4914, 23899, 23671, 21078, 538, 14411, 267, 3703, 12052, 267, 20563, 267, 543, 22598, 563, 273, 269, 4516, 814, 1447, 8904, 982, 9170, 3116, 538, 519, 1158, 2336, 11039, 267, 4990, 540, 269, 634, 3328, 23747, 7345, 17055, 22179, 513, 20870, 540, 606, 26412, 1447, 982, 789, 1131, 9170, 3116, 269, 4208, 286, 898, 782, 11710, 689, 519, 2063, 4672, 2085, 267, 799, 8694, 936, 476, 1556, 267, 1822, 1296, 3516, 269, 4438, 713, 942, 267, 1454, 540, 4516, 729, 4988, 676, 519, 19846, 660, 728, 10979, 16847, 267, 513, 7372, 27224, 269, 5221, 4672, 568, 865, 5230, 267, 950, 621, 3459, 547, 15835, 827, 476, 2641, 267, 1822, 1296, 3516, 267, 519, 3047, 9944, 621, 3459, 547, 5614, 1394, 7444, 269, 1717, 267, 519, 23747, 7345, 3148, 3788, 632, 11526, 543, 3976, 814, 1447, 2527, 982, 621, 1058, 269, 10815, 2527, 11224, 1447, 8904, 267, 799, 6941, 1946, 596, 3580, 9260, 5594, 1447, 952, 596, 3643, 713, 851, 540, 4516, 563, 274, 269, 4516, 568, 519, 1158, 779, 1034, 13473, 2197, 563, 28657, 568, 513, 2197, 602, 2418, 2298, 2069, 267, 543, 713, 568, 10630, 538, 922, 1004, 269, 2859, 982, 476, 6321, 260, 540, 8225, 4079, 723, 513, 2852, 26885, 267, 519, 5207, 8167, 1851, 2919, 2477, 269, 3567, 568, 519, 1158, 779, 2034, 1034, 13473, 2197, 267, 609, 1175, 936, 476, 2004, 9077, 4553, 676, 5840, 267, 609, 476, 5392, 269, 280, 18336, 275, 269, 634, 4013, 2232, 540, 13244, 1849, 9476, 568, 538, 4516, 563, 1103, 5375, 4168, 2528, 267, 13244, 1849, 9476, 568, 513, 1134, 8153, 4137, 269, 5259, 267, 3703, 267, 543, 10656, 2528, 6766, 519, 2413, 4528, 540, 13244, 968, 306, 5593, 19162, 1848, 1717, 267, 13244, 568, 5532, 609, 4516, 1317, 519, 2197, 11498, 883, 519, 3345, 24504, 269, 3683, 476, 272, 2929, 5022, 616, 2366, 547, 13244, 1849, 9476, 1142, 8285, 269, 1411, 666, 2328, 513, 4484, 538, 1022, 1893, 543, 6494, 621, 547, 519, 3345, 24504, 267, 670, 271, 295, 522, 295, 334, 267, 4516, 267, 543, 13244, 786, 16253, 2336, 276, 269, 4516, 7472, 519, 5318, 5354, 540, 519, 1158, 779, 25308, 21360, 563, 288, 1134, 8153, 8225, 7873, 2939, 568, 693, 519, 1283, 540, 938, 1592, 540, 9670, 8225, 5013, 269, 1703, 779, 513, 2601, 25308, 21360, 814, 1831, 513, 8225, 8305, 9189, 281, 649, 723, 606, 11606, 540, 621, 256, 769, 1249, 267, 519, 11662, 540, 20563, 4805, 7472, 476, 3583, 2600, 630, 14386, 540, 519, 1158, 779, 25308, 21360, 269, 634, 2136, 2276, 568, 519, 2034, 28376, 16073, 267, 609, 1507, 4238, 538, 3567, 543, 3162, 9705, 563, 277, 269, 4516, 814, 519, 1158, 779, 13074, 23795, 563, 2005, 21018, 585, 936, 476, 1708, 267, 1822, 12919, 269, 29303, 519, 3259, 540, 4516, 779, 23795, 1131, 1491, 2185, 543, 513, 3368, 1296, 269, 901, 23795, 568, 22112, 676, 1614, 12084, 281, 519, 7414, 267, 519, 9533, 267, 543, 519, 11848, 269, 12868, 814, 519, 1158, 779, 2034, 17489, 652, 23795, 267, 799, 568, 1175, 936, 513, 10116, 540, 519, 3259, 540, 4516, 779, 693, 476, 7918, 267, 10384, 12919, 563, 278, 269, 4516, 814, 3084, 11614, 602, 616, 3677, 982, 1346, 540, 1082, 824, 2477, 563, 24841, 30159, 2817, 5244, 538, 15751, 568, 3677, 982, 16862, 543, 16848, 630, 3286, 936, 476, 4510, 267, 1822, 4009, 12919, 1070, 543, 715, 1695, 28839, 2817, 5244, 15944, 538, 519, 19566, 17197, 1559, 568, 3677, 982, 5840, 630, 1478, 476, 1789, 267, 1822, 4009, 12919, 1916, 279, 269, 4516, 568, 1753, 547, 519, 1158, 779, 7187, 2865, 11175, 563, 29197, 267, 715, 684, 822, 583, 568, 4092, 693, 519, 1283, 540, 4432, 956, 332, 699, 6816, 267, 476, 279, 1704, 12919, 689, 519, 3345, 24504, 269, 901, 2146, 568, 1753, 547, 3744, 543, 4108, 10986, 269, 1717, 267, 621, 568, 1152, 513, 10151, 15335, 1317, 519, 2837, 12628, 547, 910, 3953, 5232, 17622, 538, 5130, 563, 280, 269, 1703, 616, 1079, 24301, 538, 4516, 563, 23873, 12052, 568, 1753, 547, 4516, 779, 1152, 9390, 269, 898, 568, 476, 1428, 5195, 1279, 543, 519, 1152, 9390, 538, 519, 1158, 609, 513, 21233, 4604, 19769, 269, 634, 2034, 9390, 568, 593, 519, 5045, 4871, 540, 8235, 19158, 629, 2444, 320, 538, 7187, 32527, 520, 3832, 9774, 563, 1015, 269, 769, 4516, 267, 1832, 707, 19462, 593, 519, 2666, 563, 2252, 596, 3643, 29861, 5459, 4975, 267, 962, 4157, 517, 267, 596, 666, 6443, 519, 590, 712, 1677, 324, 595, 1442, 18571, 11833, 269, 7102, 4235, 609, 513, 1483, 1480, 23179, 538, 519, 5377, 568, 1572, 513, 590, 712, 1677, 324, 15483, 18571, 269, 634, 3652, 1533, 602, 596, 666, 4235, 8726, 596, 1616, 693, 1022, 942, 267, 855, 707, 5023, 1590, 5905, 707, 23179, 563, 1556, 269, 634, 4411, 652, 2837, 2479, 6592, 538, 4516, 729, 607, 4411, 607, 9370, 563, 4002, 5988, 476, 274, 267, 476, 3707, 278, 267, 513, 2837, 540, 910, 8287, 5232, 17622, 11196, 10037, 269, 275, 5232, 18278, 264, 729, 6592, 538, 10965, 698, 267, 513, 1507, 8498, 538, 962, 4157, 517, 269, 901, 568, 10199, 519, 1482, 2837, 607, 9370, 563, 1321, 269, 4516, 814, 930, 3209, 4485, 547, 2112, 325, 18017, 563, 7712, 519, 476, 4350, 271, 338, 267, 4516, 543, 16862, 723, 10692, 936, 606, 796, 514, 4725, 1243, 11848, 6532, 269, 4256, 8165, 2511, 568, 3833, 2189, 269, 1358, 4734, 585, 1142, 824, 4568, 14569, 543, 6467, 17514, 269, 634, 23671, 4734, 513, 11480, 540, 8225, 681, 6614, 1733, 529, 4486, 267, 1247, 519, 20636, 4734, 513, 11480, 540, 10656, 521, 1013, 1952, 338, 563, 1724, 269, 4516, 1223, 3362, 1831, 3013, 779, 476, 7906, 560, 1533, 563, 3080, 540, 519, 476, 1724, 4930, 538, 519, 2475, 15080, 540, 32700, 2829, 602, 621, 786, 581, 8850, 7608, 952, 4516, 16858, 547, 4283, 519, 2475, 563, 1691, 269, 20463, 3382, 811, 2627, 1858, 538, 4516, 982, 1022, 824, 2197, 593, 519, 4541, 563, 763, 4279, 20463, 540, 4516, 4805, 2270, 476, 1240, 260, 540, 519, 1158, 779, 4195, 10720, 1216, 269, 1703, 616, 849, 936, 476, 1789, 267, 1822, 12647, 538, 4516, 267, 1519, 1079, 540, 519, 1158, 779, 4102, 267, 4279, 32013, 8235, 543, 4279, 19594, 8235, 269, 2353, 540, 713, 1797, 602, 4516, 568, 1753, 547, 811, 982, 3368, 540, 519, 1158, 779, 12647, 563, 1428, 269, 4516, 27499, 811, 14859, 22756, 982, 1022, 824, 2197, 593, 519, 4541, 563, 5445, 849, 723, 519, 1034, 14859, 18133, 15945, 829, 21027, 540, 1022, 2197, 593, 519, 4541, 269, 5272, 1032, 267, 476, 1789, 2929, 1004, 8532, 936, 835, 5479, 1810, 7491, 269, 898, 779, 782, 1317, 540, 7033, 29088, 976, 2336, 1626, 269, 898, 568, 22232, 585, 26235, 267, 4516, 7264, 547, 4734, 741, 6517, 12260, 539, 563, 1607, 568, 547, 1683, 606, 9101, 8905, 585, 19516, 20379, 945, 2097, 2066, 513, 8701, 7703, 269, 26235, 568, 1753, 547, 5111, 476, 1428, 267, 4335, 540, 519, 1158, 779, 476, 1839, 267, 1822, 8701, 12217, 269, 634, 4884, 814, 811 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 897, 2187, 1038, 8173, 1038, 4032, 519, 1297, 540, 15183, 11105, 547, 519, 2016, 630, 992, 267, 897, 264, 4994, 563, 1038, 8173, 1038, 2132, 2040, 9852, 777, 10857, 10033, 678, 322, 281, 1582, 26942, 314, 21683, 314, 271, 316, 6012, 21683, 314, 272, 316, 4940, 13757, 8548, 710, 267, 26444, 3546, 1582, 269, 29951, 8809, 318, 785, 1182, 21405, 267, 897, 4297, 2020, 825, 1219, 9206, 318, 520, 4311, 267, 4737, 267, 897, 2187, 1038, 8173, 1038, 10925, 513, 9206, 693, 513, 1808, 5544, 267, 538, 3210, 547, 3593, 3403, 269, 1403, 519, 1591, 454, 1038, 568, 2907, 7000, 267, 713, 1281, 4986, 563, 1038, 8173, 1038, 952, 711, 1582, 26942, 314, 992, 6012, 3712, 4940, 516, 557, 4705, 912, 2018, 1582, 26942, 314, 992, 6012, 3712, 4940, 13757, 318, 4148, 698, 815, 711, 1582, 26942, 314, 992, 6012, 3712, 4940, 13757, 318, 4148, 698, 692, 825, 1219, 1900, 318, 520, 4311, 267, 4737, 267, 897, 2187, 1038, 952, 1582, 26942, 314, 992, 6012, 3712, 4940, 13757, 318, 4148, 698, 610, 1582, 26942, 314, 992, 6012, 3712, 4940, 516, 557, 4705, 912, 2018, 2132, 454, 1038, 8640, 1582, 26942, 314, 992, 6012, 3712, 4940, 13757, 8548, 710, 912, 2018, 1582, 20216, 680, 10757, 815, 6936, 454, 2018, 1582, 26942, 314, 992, 6012, 3712, 4940, 516, 557, 4705, 815, 6936, 454, 1038, 3116, 912, 2018, 1582, 18622, 557, 531, 318, 5228, 21405, 267, 897, 2020, 825, 1219, 7866, 318, 5228, 4311, 267, 4737, 267, 897, 2187, 1038, 952, 1582, 26942, 314, 992, 6012, 3712, 4940, 516, 557, 4705, 912, 2018, 2132, 454, 1038, 952, 1582, 8542, 636, 318, 29951, 8809, 8548, 1149, 21405, 267, 897, 264, 3436, 476, 271, 912, 2018, 1582, 26942, 314, 992, 6012, 3712, 4940, 516, 557, 4705, 815, 6936, 454, 1038, 3116, 912, 2018, 1582, 26942, 314, 992, 6012, 3712, 4940, 516, 557, 4705, 815, 6936, 454, 2018, 585, 630, 337, 342, 267, 804, 264, 538, 1582, 269, 29951, 8809, 318, 785, 1182, 21405, 267, 897, 2187, 3546, 1582, 18622, 557, 531, 318, 5228, 16868, 342, 267, 804, 2020, 825, 1219, 11105, 318, 785, 1182, 4311, 267, 4737, 267, 897, 2187, 1038, 8173, 1038, 9717, 513, 4737, 543, 6241, 4994, 267, 5352, 519, 17523, 540, 782, 2281, 11105, 454, 1038, 547, 602, 4994, 269, 14780, 2478, 606, 5470, 952, 519, 2016, 4994, 568, 3544, 519, 7470, 563, 1038, 8173, 1038, 1948, 5440, 2451, 7944, 454, 1038, 952, 4737, 2652, 476, 271, 543, 897, 2652, 476, 271, 912, 2018, 2132, 27883, 992, 267, 897, 1341, 476, 272, 1070, 630, 992, 1341, 476, 272, 267, 897, 1070, 630, 992, 1341, 476, 272, 267, 897, 1341, 476, 272, 22708, 1038, 1948, 645, 18847, 2451, 7944, 454, 1038, 8640, 4737, 2652, 1582, 269, 4900, 910, 476, 272, 543, 897, 2652, 476, 271, 912, 2018, 2132, 27883, 992, 910, 476, 272, 267, 897, 1070, 630, 992, 910, 476, 272, 267, 897, 1341, 476, 272, 1070, 630, 992, 267, 897, 1341, 476, 272, 22708, 1038, 1948, 5440, 1318, 7944, 454, 1038, 8640, 4737, 2652, 476, 271, 543, 897, 2652, 1582, 31815, 338, 910, 476, 272, 912, 2018, 2132, 27883, 992, 267, 897, 910, 476, 272, 1070, 630, 992, 1341, 476, 272, 267, 897, 910, 476, 272, 1070, 630, 992, 1341, 476, 272, 267, 897, 22708, 1038, 1948, 645, 18847, 1318, 7944, 454, 1038, 8640, 4737, 2652, 1582, 269, 4900, 910, 476, 272, 543, 897, 2652, 1582, 31815, 338, 910, 476, 272, 912, 2018, 2132, 27883, 992, 910, 476, 272, 267, 897, 910, 476, 272, 1070, 630, 992, 910, 476, 272, 267, 897, 1070, 630, 992, 267, 897, 910, 476, 272, 22708, 1038, 1948, 19382, 6316, 454, 1038, 8640, 4737, 3436, 476, 271, 543, 4737, 2999, 1582, 269, 4900, 910, 476, 272, 543, 897, 2652, 476, 271, 912, 2018, 2132, 27883, 992, 910, 476, 272, 267, 897, 1070, 630, 992, 910, 476, 272, 267, 897, 1341, 476, 272, 1070, 630, 992, 267, 897, 1341, 476, 272, 1070, 26444, 7386, 630, 992, 1341, 476, 272, 267, 897, 1070, 630, 992, 1341, 476, 272, 267, 897, 1341, 476, 272, 22708, 1038, 1948, 9406, 6316, 454, 1038, 8640, 4737, 3436, 476, 271, 543, 4737, 2999, 1582, 269, 4900, 910, 476, 272, 543, 897, 2652, 1582, 31815, 338, 910, 476, 272, 912, 2018, 2132, 27883, 992, 910, 476, 272, 267, 897, 910, 476, 272, 1070, 630, 992, 910, 476, 272, 267, 897, 1070, 630, 992, 267, 897, 910, 476, 272, 1070, 26444, 7386, 630, 992, 1341, 476, 272, 267, 897, 910, 476, 272, 1070, 630, 992, 1341, 476, 272, 267, 897, 22708, 1038, 1948, 5440, 6316, 454, 1038, 8640, 4737, 2652, 476, 271, 543, 897, 3436, 476, 271, 543, 897, 2999, 1582, 31815, 338, 910, 476, 272, 912, 2018, 2132, 27883, 992, 267, 897, 910, 476, 272, 1070, 630, 992, 267, 897, 1341, 476, 272, 1070, 630, 992, 1341, 476, 272, 267, 897, 910, 476, 272, 1070, 26444, 7386, 630, 992, 1341, 476, 272, 267, 897, 1070, 630, 992, 1341, 476, 272, 267, 897, 1341, 476, 272, 22708, 1038, 1948, 645, 18847, 6316, 454, 1038, 8640, 4737, 2652, 1582, 269, 4900, 910, 476, 272, 543, 897, 3436, 476, 271, 543, 897, 2999, 1582, 31815, 338, 910, 476, 272, 912, 2018, 2132, 27883, 992, 910, 476, 272, 267, 897, 910, 476, 272, 1070, 630, 992, 910, 476, 272, 267, 897, 1070, 630, 992, 910, 476, 272, 267, 897, 1341, 476, 272, 1070, 26444, 7386, 630, 992, 267, 897, 910, 476, 272, 1070, 630, 992, 267, 897, 1341, 476, 272, 22708, 1038, 1948, 4741, 1858, 454, 1038, 8640, 4737, 3436, 476, 271, 543, 4737, 2999, 1582, 269, 4900, 910, 476, 272, 543, 26444, 3546, 897, 3436, 476, 271, 543, 897, 2999, 1582, 31815, 338, 910, 476, 272, 912, 2018, 2132, 27883, 992, 910, 476, 272, 267, 897, 910, 476, 272, 1070, 630, 992, 910, 476, 272, 267, 897, 1070, 630, 992, 910, 476, 272, 267, 897, 1341, 476, 272, 1070, 26444, 7386, 630, 992, 267, 897, 910, 476, 272, 1070, 630, 992, 267, 897, 1341, 476, 272, 1070, 630, 992, 1341, 476, 272, 267, 897, 910, 476, 272, 1070, 26444, 7386, 630, 992, 1341, 476, 272, 267, 897, 1070, 630, 992, 1341, 476, 272, 267, 897, 1341, 476, 272, 22708, 1038, 3116, 281, 6318, 1401, 4003, 2891, 19340, 856, 540, 2039, 15419, 825, 1219, 1205, 14682, 877, 14067, 9850, 4311, 2187, 1038, 952, 1582, 20216, 680, 10757, 912, 2018, 2132, 717, 28719, 318, 26183, 4306, 454, 1038, 8640, 1582, 8542, 636, 318, 20482, 821, 748, 318, 4148, 4711, 2652, 476, 271, 543, 1582, 8542, 636, 318, 684, 4148, 698, 3022, 8548, 1149, 2652, 476, 271, 912, 2018, 2132, 717, 28719, 318, 310, 2177, 454, 1038, 3116, 912, 2018, 2132, 717, 28719, 318, 2562, 318, 24165, 16165, 8577, 692, 294, 28719, 318, 26183, 4306, 815, 476, 271, 454, 294, 28719, 318, 2562, 318, 24165, 16165, 8577, 815, 476, 272, 454, 294, 28719, 318, 310, 2177, 815, 476, 273, 692, 3698, 1292, 263, 560, 1091, 13062, 2187, 825, 1948, 9024, 1225, 4513, 454, 825, 588, 1091, 13062, 269, 27234, 4590, 825, 1225, 4513, 269, 7224, 3663, 334, 4590, 825, 1225, 4513, 6983, 19874, 4590, 825, 1225, 4513, 269, 11034, 318, 10233, 4590, 825, 1225, 4513, 269, 2224, 318, 29239, 22674, 832, 4590, 825, 588, 1091, 13062, 269, 651, 2988, 611, 263, 12148, 2020, 825, 1948, 27413, 454, 825, 1225, 4513, 269, 8181, 7272, 1515, 263, 272, 267, 1225, 4513, 269, 4596, 299, 3036, 318, 13993, 19272, 267, 1225, 4513, 269, 4596, 299, 3036, 318, 20062, 25492, 994, 825, 1225, 4513, 269, 8181, 7272, 1515, 263, 273, 267, 1225, 4513, 269, 4596, 299, 3036, 318, 13993, 19272, 267, 1225, 4513, 269, 4596, 299, 3036, 318, 305, 3633, 2020, 825, 23684, 32284, 815, 476, 271, 454, 825, 23684, 22674, 815, 476, 271, 454, 825, 519, 14682, 5090, 815, 25373, 263, 1015, 267, 476, 1015, 267, 476, 1321, 994, 825, 5862, 263, 560, 1091, 13062, 267, 519, 14682, 5090, 267, 23684, 32284, 267, 23684, 22674, 2020, 825, 1247, 6936, 912, 1038, 1347, 815, 588, 1091, 13062, 10947, 577, 4590, 1038, 952, 1347, 2652, 1225, 4513, 14389, 292, 312, 318, 4041, 10499, 912, 2018, 952, 23684, 22674, 3436, 476, 271, 281, 23684, 22674, 815, 23684, 22674, 910, 476, 272, 454, 1038, 8640, 1347, 2652, 1225, 4513, 14389, 292, 312, 318, 305, 20846, 912, 2018, 952, 23684, 22674, 2999, 519, 14682, 5090, 31815, 338, 910, 476, 272, 281, 23684, 22674, 815, 23684, 22674, 1341, 476, 272, 454, 1038, 8640, 1347, 2652, 1225, 4513, 14389, 292, 312, 318, 16810, 912, 2018, 952, 23684, 32284, 3436, 476, 271, 281, 23684, 32284, 815, 23684, 32284, 910, 476, 272, 454, 1038, 8640, 1347, 2652, 1225, 4513, 14389, 292, 312, 32707, 32052, 912, 2018, 952, 23684, 32284, 2999, 519, 14682, 5090, 269, 4900, 910, 476, 272, 281, 23684, 32284, 815, 23684, 32284, 1341, 476, 272, 454, 1038, 8640, 1347, 2652, 3921, 3488, 1412, 2187, 2018, 519, 14682, 5090, 269, 4148, 698, 318, 520, 263, 19387, 32284, 267, 23684, 22674, 994, 1038, 8640, 1347, 2652, 3921, 28361, 333, 262, 2187, 2018, 519, 14682, 5090, 14714, 788, 318, 520, 263, 19387, 32284, 267, 23684, 22674, 994, 1038, 8640, 1347, 2652, 3921, 3488, 336, 262, 2187, 2018, 2736, 454, 1038, 3116, 912, 2018, 476, 272, 258, 1684, 4986, 454, 1038, 5862, 263, 560, 1091, 13062, 267, 519, 14682, 5090, 267, 23684, 32284, 267, 23684, 22674, 2020, 825, 1948, 1546, 8181, 1225, 4513, 454, 825, 1225, 4513, 8542, 665, 19874, 4590, 825, 588, 1091, 13062, 269, 651, 2988, 611, 263, 16178, 994, 825, 1225, 4513, 269, 3663, 334, 4590, 825, 1225, 4513, 269, 754, 7773, 10797, 3698, 5862, 263, 560, 1091, 13062, 267, 7470, 267, 23684, 32284, 267, 23684, 22674, 2187, 825, 588, 1091, 13062, 269, 27234, 4590, 825, 4567, 815, 7470, 10947, 14682, 877, 14067, 9850, 4590, 825, 952, 4567, 2652, 717, 28719, 318, 26183, 4306, 912, 1038, 588, 1091, 13062, 14491, 1598, 263, 272, 267, 476, 272, 267, 834, 7529, 4499, 2580, 1225, 4513, 269, 10233, 7272, 1515, 263, 272, 4917, 1038, 588, 1091, 13062, 14491, 1598, 263, 273, 267, 476, 272, 267, 834, 284, 9358, 700, 5308, 292, 815, 2580, 1225, 4513, 269, 10233, 7272, 1515, 263, 272, 4917, 1038, 588, 1091, 13062, 14491, 1598, 263, 274, 267, 476, 272, 267, 834, 7529, 4499, 2580, 1225, 4513, 269, 10233, 7272, 1515, 263, 272, 4917, 825, 8640, 4567, 2652, 717, 28719, 318, 2562, 318, 24165, 16165, 8577, 912, 1038, 585, 4737, 538, 2039, 14116, 5090, 269, 4900, 2187, 2018, 585, 897, 538, 2039, 14116, 5090, 31815, 338, 2187, 3546, 952, 23684, 32284, 2652, 4737, 543, 23684, 22674, 2652, 897, 912, 7386, 588, 1091, 13062, 14491, 1598, 21405, 267, 897, 267, 7470, 269, 10420, 15461, 318, 19651, 318, 520, 21405, 267, 897, 1070, 26444, 23351, 1225, 4513, 269, 10233, 7272, 1515, 263, 273, 4917, 3546, 3116, 912, 7386, 588, 1091, 13062, 14491, 1598, 21405, 267, 897, 267, 7470, 269, 10420, 15461, 318, 19651, 318, 520, 21405, 267, 897, 1070, 26444, 23351, 1225, 4513, 269, 10233, 7272, 1515, 263, 272, 4917, 825, 3116, 912, 1038, 588, 1091, 13062, 14491, 1598, 263, 272, 267, 476, 272, 267, 834, 7529, 4499, 2580, 1225, 4513, 269, 10233, 7272, 1515, 263, 272, 4917, 1038, 588, 1091, 13062, 14491, 1598, 263, 273, 267, 476, 272, 267, 834, 284, 9358, 654, 2562, 256, 815, 2580, 1225, 4513, 269, 10233, 7272, 1515, 263, 272, 4917, 1038, 588, 1091, 13062, 14491, 1598, 263, 274, 267, 476, 272, 267, 834, 7529, 4499, 2580, 1225, 4513, 269, 10233, 7272, 1515, 263, 272, 4917, 825, 588, 1091, 13062, 269, 10915, 3306, 10797, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1225, 4513, 9884, 571, 3899, 9852, 664, 994, 0, 5814, 21267, 28272, 607, 12301, 692, 6358, 28767, 17342, 272, 267, 273, 267, 274, 267, 275, 267, 276, 267, 277, 267, 278, 267, 279, 267, 280, 267, 1015, 2639, 338, 638, 4100, 17342, 272, 267, 275, 267, 280, 267, 1626, 267, 1839, 267, 3607, 267, 5392, 267, 5038, 267, 10037, 267, 1911, 2639, 10823, 269, 5882, 269, 2224, 3488, 572, 629, 1941, 5073, 14808, 267, 1314, 284, 10823, 16553, 30831, 4590, 1314, 19502, 9272, 28767, 29679, 638, 4100, 267, 1467, 12296, 284, 274, 2020, 258, 13729, 5750, 2140, 543, 6003, 17887, 454, 1314, 15630, 21234, 2891, 306, 13645, 10606, 2580, 23935, 1125, 284, 2190, 994, 1314, 15630, 13448, 16932, 2891, 19368, 2580, 23935, 1125 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3574, 577, 2354, 2270, 513, 1826, 540, 20702, 1572, 932, 24075, 582, 850, 267, 2687, 547, 606, 4239, 269, 476, 1789, 1867, 689, 570, 2316, 7025, 540, 18703, 560, 1144, 267, 8738, 28002, 6019, 563, 2419, 24075, 582, 850, 568, 513, 1455, 1826, 540, 20702, 602, 568, 5532, 547, 2860, 267, 2687, 547, 519, 1977, 9435, 5980, 269, 1306, 17937, 729, 1031, 538, 519, 2250, 547, 1202, 3634, 5656, 543, 1118, 32072, 30133, 267, 18109, 543, 6989, 17981, 267, 607, 1134, 607, 824, 2472, 267, 2687, 547, 519, 2860, 2486, 563, 289, 805, 3107, 538, 20702, 3123, 1085, 18732, 538, 519, 9641, 543, 4598, 666, 1291, 547, 20702, 5829, 11871, 267, 2687, 547, 519, 1977, 9435, 5980, 269, 4208, 568, 20702, 865, 5906, 286, 13772, 519, 3381, 1657, 543, 1265, 856, 563, 2026, 513, 1267, 540, 519, 12526, 267, 519, 19209, 814, 1044, 6806, 547, 1053, 2094, 519, 1101, 3018, 540, 5239, 267, 3955, 574, 8111, 23734, 550, 6307, 2335, 24434, 1767, 563, 8448, 2042, 723, 12735, 4240, 519, 1153, 2094, 519, 8122, 1788, 3459, 563, 1103, 2038, 5239, 267, 8387, 6806, 18237, 601, 1343, 13636, 4400, 3427, 1310, 513, 1279, 18109, 17684, 8593, 5196, 513, 2875, 2630, 563, 257, 2691, 789, 941, 2699, 21749, 519, 32072, 1788, 267, 789, 1352, 1229, 1055, 519, 25568, 540, 519, 25336, 689, 519, 2025, 32072, 2437, 24434, 267, 519, 954, 574, 2706, 23734, 550, 267, 1767, 4505, 713, 3923, 538, 606, 5967, 609, 513, 27680, 269, 834, 1432, 814, 5949, 568, 789, 630, 1492, 25336, 264, 3323, 547, 2887, 998, 3034, 289, 3471, 1223, 711, 5612, 581, 6603, 593, 13638, 585, 6085, 563, 763, 1153, 729, 849, 6806, 585, 2011, 2298, 2152, 1310, 1053, 5360, 7134, 540, 2178, 30851, 1644, 547, 519, 5571, 32072, 1788, 563, 18850, 2774, 8387, 723, 2094, 6410, 519, 1164, 1153, 5049, 883, 519, 7404, 21738, 1164, 1153, 267, 543, 1053, 538, 1312, 5656, 616, 5665, 593, 513, 3368, 6377, 267, 8237, 6879, 3424, 8430, 563, 4002, 11728, 267, 3237, 10874, 730, 1153, 8387, 609, 14220, 8292, 543, 30852, 936, 519, 3375, 547, 1832, 519, 1153, 1930, 538, 5181, 563, 2108, 295, 785, 338, 697, 568, 476, 736, 270, 736, 267, 855, 693, 519, 942, 609, 519, 1344, 649, 1185, 649, 1500, 519, 1655, 3375, 649, 1223, 2437, 6355, 8556, 15249, 15537, 645, 1066, 22974, 5143, 519, 5304, 593, 11728, 563, 289, 1066, 22974, 1767, 519, 1153, 729, 8118, 20029, 269, 476, 278, 1759, 593, 606, 4864, 1867, 689, 29980, 7025, 602, 5462, 519, 1153, 729, 20702, 6954, 563, 2026, 540, 11728, 267, 24434, 1767, 827, 476, 5952, 2600, 540, 519, 10690, 25336, 1185, 1044, 6569, 689, 519, 1153, 781, 2781, 559, 902, 563, 300, 833, 918, 984, 527, 1156, 10162, 1993, 532, 1299, 6184, 1637, 540, 5783, 6807, 267, 12425, 267, 729, 13752, 811, 982, 1269, 276, 2929, 547, 5372, 519, 1164, 1153, 781, 8122, 563, 289, 1066, 22974, 267, 519, 1870, 23070, 267, 1767, 11728, 519, 1153, 729, 538, 3346, 609, 17864, 827, 945, 786, 2628, 585, 519, 3063, 9276, 602, 723, 818, 17470, 1282, 519, 1788, 563, 19285, 1372, 958, 267, 1018, 594, 1131, 899, 547, 798, 568, 1394, 5279, 519, 28079, 585, 602, 267, 8726, 519, 1942, 949, 581, 267, 711, 1152, 585, 519, 1858, 540, 519, 19209, 855, 519, 1858, 1472, 519, 3003, 2679, 2437, 646, 1767, 563, 2414, 2057, 22717, 689, 519, 1533, 8433, 540, 5398, 31740, 262, 27706, 8881, 543, 2657, 267, 18237, 601, 1343, 13636, 1590, 1397, 6169, 676, 8734, 269, 476, 1789, 602, 621, 3177, 23891, 6002, 543, 8169, 617, 2103, 609, 606, 20702, 4656, 1576, 267, 6753, 540, 20702, 25202, 1570, 593, 1153, 3959, 267, 543, 6044, 593, 875, 547, 4431, 547, 20702, 6775, 13847, 269, 634, 8664, 1590, 849, 1397, 6169, 540, 2348, 513, 2854, 9651, 2792, 1544, 609, 2866, 267, 9963, 5773, 543, 3106, 1344, 563, 763, 954, 574, 2706, 23734, 550, 5143, 519, 3237, 593, 11728, 602, 1352, 13922, 519, 8122, 1788, 786, 581, 8737, 1369, 513, 1906, 4374, 543, 602, 1053, 786, 2132, 547, 741, 3339, 8430, 538, 741, 1378, 5656, 676, 4571, 9539, 4912, 610, 2038, 5412, 563, 10303, 519, 1153, 814, 2907, 6806, 585, 2947, 2395, 713, 1153, 1032, 267, 8664, 8387, 616, 6236, 5969, 5614, 2736, 2110, 269, 634, 8274, 540, 4065, 786, 2015, 6679, 519, 1153, 593, 4989, 476, 276, 543, 476, 277, 267, 519, 2063, 1079, 2395, 540, 5614, 2736, 267, 543, 593, 4924, 269, 476, 1428, 267, 476, 1626, 543, 476, 866, 267, 24434, 1767, 563, 14071, 10093, 1406, 1256, 1185, 5162, 2943, 543, 6777, 2395, 2437, 24434, 1767, 563, 8649, 7701, 29142, 956, 2421, 281, 7711, 302, 326, 956, 2421, 4338, 303, 282, 476, 278, 3953, 268, 4649, 278, 268, 31816, 272, 282, 18078, 17106, 11333, 3820, 0, 14300, 540, 3259, 3772, 538, 513, 22054, 454, 306, 5902, 519, 4829, 3259, 3772, 543, 1167, 731, 519, 5452, 563, 320, 4062, 540, 1957, 25649, 3259, 3772, 454, 13146, 6201, 540, 3259, 3772, 689, 519, 5680, 454, 8794, 513, 1166, 10696, 27697, 779, 17180, 267, 6060, 14859, 538, 555, 8674, 3259, 3772, 267, 1287, 538, 2185, 2195, 3444, 3772, 547, 1118, 476, 1321, 10945, 282, 2759, 2786, 1524, 563, 29493, 23601, 538, 3368, 3259, 3772, 282, 1085, 17274, 856, 5452, 543, 1085, 7275, 22204, 609, 23643, 563, 295, 531, 557, 835, 10538, 543, 519, 11993, 3259, 3772, 267, 2759, 519, 30556, 3444, 3772, 883, 6094, 21100, 267, 543, 1747, 873, 538, 513, 19756, 8708, 563, 20228, 823, 1148, 747, 5803, 3259, 3772, 883, 20453, 282, 4894, 1022, 6418, 13711, 3762, 543, 1085, 17274, 856, 519, 27967, 1781, 651, 952, 972, 568, 835, 563, 8794, 513, 10448, 22019, 518, 267, 20105, 519, 607, 32651, 3259, 3772, 883, 1279, 267, 6094, 17446, 267, 4358, 1175, 896, 519, 9133, 540, 1142, 31537, 563, 2252, 519, 26106, 802, 616, 476, 273, 6279, 610, 811, 538, 8006, 267, 2759, 3259, 3772, 1354, 546, 6005, 563, 29493, 18654, 538, 20453, 3259, 3772, 1287, 3444, 3772, 538, 476, 1556, 21100, 563, 295, 531, 557, 1142, 2212, 540, 23858, 3259, 3772, 267, 1287, 2759, 1142, 3368, 883, 20453, 3259, 3772, 563, 4322, 1383, 5220, 616, 5697, 8850, 689, 1585, 2228, 3377, 2959, 547, 2992, 1699, 6165, 540, 519, 2262, 1412, 26319, 3772, 9538, 14358, 6829, 538, 519, 1806, 798, 711, 2099, 519, 6644, 540, 8585, 26713, 268, 31812, 610, 922, 15769, 269, 27189, 721, 5955, 563, 299, 2894, 294, 8025, 310, 30990, 4347, 1441, 585, 2296, 5678, 22996, 454, 14240, 540, 3259, 3772, 585, 2296, 5678, 22996, 454, 281, 538, 519, 4287, 540, 519, 1279, 2427, 540, 1945, 454, 299, 2894, 294, 8025, 310, 30990, 4347, 1441, 585, 8866, 454, 5353, 523, 543, 1261, 731, 454, 1432, 1500, 596, 1616, 547, 1413, 909, 3259, 3772, 286, 7490, 2995, 721, 1141, 596, 1224, 610, 4862, 621, 630, 10175, 519, 10839, 267, 952, 2009, 1040, 0, 1607, 1587, 568, 547, 948, 21934, 1245, 3450, 2681, 18570, 269, 3962, 2985, 12204, 676, 1079, 4778, 281, 4544, 543, 2699, 267, 3039, 543, 5835, 267, 10538, 543, 6960, 269, 2353, 1210, 519, 1482, 4605, 585, 519, 8655, 2681, 563, 272, 269, 1210, 9838, 6474, 540, 519, 1482, 4605, 454, 273, 269, 1210, 9838, 6474, 540, 519, 7291, 540, 519, 1482, 4605, 454, 338, 677, 676, 519, 9838, 4605, 1287, 6338, 2789, 5961, 540, 519, 1482, 2681, 563, 274, 269, 1210, 9838, 6474, 540, 3099, 540, 2681, 5961, 454, 275, 269, 1210, 9838, 6474, 540, 3099, 540, 7291, 540, 5961, 454, 276, 269, 1210, 10833, 609, 2681, 535, 12184, 10833, 593, 519, 1079, 2681, 10080, 454, 277, 269, 1210, 1079, 2681, 3817, 609, 1100, 3308, 10833, 454, 278, 269, 1210, 1079, 2681, 7291, 10833, 547, 4990, 883, 454, 8110, 2739, 585, 2038, 6267, 267, 1053, 609, 20150, 543, 7214, 9124, 269, 0, 289, 1068, 515, 5651, 529, 582, 11829, 7685, 454, 289, 1068, 515, 5651, 529, 582, 630, 20464, 476, 1691, 267, 476, 7277, 272, 7790, 290, 4728, 476, 273, 267, 476, 6245, 276, 264, 729, 513, 18048, 543, 513, 4759, 540, 519, 5858, 540, 26719, 538, 8303, 945, 2968, 1634, 607, 519, 6764, 1833, 1235, 269, 7201, 1998, 4240, 585, 936, 513, 2540, 267, 7654, 1317, 1352, 729, 513, 4807, 267, 1352, 568, 1631, 2808, 1851, 519, 1101, 21597, 540, 6764, 1833, 626, 26719, 563, 1103, 476, 5908, 275, 267, 1352, 17820, 585, 519, 1101, 942, 538, 519, 3810, 22644, 539, 6428, 517, 632, 8303, 269, 1975, 29107, 676, 519, 2229, 267, 543, 24565, 676, 4081, 2103, 267, 519, 6428, 517, 729, 519, 4013, 267, 5993, 14266, 540, 519, 6298, 11631, 332, 773, 964, 581, 14513, 268, 11301, 538, 8303, 269, 4173, 960, 729, 5697, 585, 14266, 538, 3670, 7766, 6428, 976, 2394, 267, 538, 476, 6942, 275, 267, 1352, 8678, 519, 834, 516, 915, 539, 257, 6764, 1833, 1235, 538, 519, 1101, 540, 741, 1378, 24218, 267, 799, 3769, 6754, 595, 11631, 345, 22828, 267, 28089, 26440, 553, 267, 19863, 324, 3933, 564, 267, 5651, 529, 582, 267, 6682, 4068, 623, 1170, 541, 549, 267, 24839, 5025, 1872, 755, 324, 11412, 7546, 267, 543, 21238, 590, 529, 2917, 269, 898, 729, 4371, 693, 519, 18638, 540, 519, 23031, 24385, 541, 563, 9515, 2968, 519, 11078, 2987, 25237, 540, 1200, 3659, 543, 26393, 267, 27878, 323, 537, 731, 2494, 564, 267, 950, 1352, 9310, 1010, 7015, 267, 26290, 2940, 563, 16665, 24484, 902, 540, 26450, 515, 5651, 529, 582, 2433, 269, 1923, 634, 4807, 568, 19703, 519, 4552, 1923, 2494, 564, 543, 1010, 8250, 1923, 5800, 11681, 540, 8496, 1889, 30716, 650, 517, 1923, 2506, 15842, 3187, 1923, 670, 4474, 4934, 519, 700, 25423, 547, 16959, 11406, 16665, 20551, 281, 299, 5622, 267, 8402, 5336, 545, 3559, 8709, 454, 293, 12661, 880, 3742, 538, 5333, 267, 476, 10204, 278, 268, 10082, 272, 454, 303, 664, 614, 267, 5067, 540, 14639, 5174, 2194, 626, 324, 8709, 700, 5622, 269, 1261, 8036, 609, 1010, 4651, 538, 5695, 514, 543, 7507, 267, 2663, 11504, 519, 6030, 540, 519, 6298, 286, 332, 773, 20858, 1446, 538, 8303, 269, 1261, 4607, 519, 9872, 781, 1101, 16101, 585, 7206, 538, 476, 15094, 277, 267, 543, 538, 476, 15094, 279, 267, 10483, 676, 1010, 7015, 267, 17012, 286, 12251, 267, 543, 1010, 11515, 267, 2961, 548, 267, 8120, 547, 7507, 1141, 646, 729, 2404, 609, 30473, 529, 25376, 7815, 269, 2201, 1010, 1259, 1394, 547, 5333, 267, 646, 18423, 585, 513, 942, 538, 5695, 514, 267, 7206, 23609, 540, 519, 10424, 1920, 540, 590, 731, 27091, 267, 519, 16099, 543, 667, 31866, 1087, 540, 14205, 1195, 269, 769, 8303, 646, 729, 15861, 547, 15376, 540, 519, 6298, 286, 332, 773, 20858, 1446, 543, 538, 476, 15876, 276, 729, 12912, 13930, 4116, 693, 519, 6298, 655, 773, 267, 4742, 12021, 607, 513, 11285, 538, 17855, 7206, 269, 4107, 540, 1010, 23609, 689, 713, 1974, 616, 3368, 27480, 267, 9256, 2093, 689, 5754, 659, 842, 515, 15519, 7596, 781, 2663, 960, 609, 824, 811, 2067, 543, 5499, 3283, 269, 2201, 519, 2669, 540, 14639, 681, 4545, 267, 17722, 966, 540, 8050, 4280, 15519, 7596, 547, 2303, 513, 12990, 267, 543, 8709, 700, 5622, 729, 6069, 269, 1261, 8452, 538, 28925, 538, 476, 15876, 278, 543, 7283, 972, 607, 623, 842, 528, 632, 3288, 23634, 324, 2394, 476, 11260, 273, 267, 14775, 609, 2413, 12716, 2093, 547, 519, 7569, 540, 519, 5053, 16313, 338, 585, 533, 20234, 543, 26672, 712, 269, 1261, 5645, 856, 5480, 862, 3827, 855, 13991, 851, 540, 1010, 942, 547, 3450, 267, 1010, 10453, 1419, 4742, 18638, 20843, 269, 1261, 849, 3576, 606, 3742, 851, 538, 11401, 4371, 936, 513, 1297, 540, 1296, 547, 3715, 519, 7464, 6298, 8598, 632, 13852, 553, 3203, 525, 632, 590, 22513, 18372, 267, 585, 799, 646, 3812, 519, 17198, 267, 519, 4065, 540, 19067, 573, 676, 19026, 543, 22358, 5900, 30744, 547, 14646, 530, 12291, 1286, 332, 19376, 454, 13202, 2806, 19207, 4461, 345, 269, 2142, 518, 1598, 22760, 454, 293, 12661, 880, 25724, 16527, 10266, 614, 267, 1309, 269, 14341, 278, 268, 14917, 277 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3407, 4030, 883, 519, 2729, 540, 1346, 945, 8032, 519, 22038, 540, 519, 1476, 539, 3130, 267, 1565, 689, 741, 18454, 543, 14286, 607, 789, 20920, 609, 519, 10848, 540, 585, 3101, 513, 1455, 3961, 9624, 10409, 267, 3909, 267, 543, 2797, 3604, 780, 11101, 267, 10128, 3309, 5380, 543, 9739, 883, 891, 6386, 5713, 547, 10802, 938, 1620, 540, 519, 681, 6686, 339, 2993, 543, 20838, 922, 4797, 10083, 1369, 4207, 11407, 269, 1635, 2502, 609, 513, 2647, 2039, 540, 2707, 2326, 910, 1519, 3332, 267, 1148, 267, 2575, 267, 543, 4670, 910, 649, 666, 10250, 519, 4720, 540, 519, 681, 6686, 339, 2993, 607, 513, 3090, 543, 5660, 922, 4390, 585, 9542, 543, 7004, 269, 769, 3257, 865, 267, 649, 711, 1152, 15052, 938, 7071, 585, 519, 6946, 1357, 540, 3347, 602, 20690, 1022, 10206, 540, 4182, 3125, 282, 649, 849, 11349, 513, 811, 13857, 543, 8537, 5075, 540, 1018, 621, 1797, 547, 4866, 547, 513, 2146, 6825, 676, 32469, 267, 3846, 1143, 267, 543, 1689, 780, 27407, 267, 1287, 267, 519, 1353, 540, 519, 681, 6686, 339, 2993, 543, 922, 4296, 547, 6214, 543, 3084, 3961, 20217, 721, 547, 2992, 2390, 519, 2470, 540, 7104, 1995, 543, 519, 1909, 602, 6698, 1404, 538, 5935, 938, 11994, 540, 6000, 543, 1866, 269, 6787, 17947, 607, 513, 581, 13154, 540, 4126, 610, 29937, 539, 607, 513, 14049, 540, 6498, 267, 519, 681, 6686, 339, 2993, 6763, 15266, 547, 519, 11972, 1379, 540, 1747, 543, 519, 16221, 2081, 538, 799, 1480, 7919, 1902, 2495, 538, 519, 5624, 789, 9468, 269, 898, 568, 998, 21679, 609, 891, 10848, 602, 649, 1522, 6038, 12446, 693, 513, 4514, 1620, 540, 6000, 267, 938, 7239, 267, 543, 519, 13218, 602, 12622, 721, 1927, 2066, 942, 543, 2230, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 763, 681, 6686, 339, 2993, 568, 513, 1747, 17158, 539, 538, 1686, 267, 18691, 267, 14868, 543, 17691, 563, 2026, 519, 968, 290, 2784, 548, 540, 519, 32700, 892, 621, 568, 24190, 609, 519, 5191, 543, 7115, 540, 519, 11206, 22616, 976, 540, 519, 476, 1691, 628, 2540, 267, 609, 5576, 14525, 779, 12416, 30247, 15681, 630, 19365, 15681, 264, 538, 519, 476, 866, 628, 2540, 267, 609, 519, 18230, 2817, 4414, 12874, 339, 540, 2622, 2782, 5565, 267, 543, 609, 922, 3261, 566, 676, 2797, 17119, 1235, 693, 519, 4098, 540, 519, 3791, 26992, 269, 8729, 547, 5985, 8924, 267, 8436, 547, 519, 681, 6686, 339, 2993, 786, 581, 2111, 547, 1451, 811, 827, 519, 1686, 540, 713, 968, 3000, 2163, 1510, 513, 15224, 892, 538, 519, 2104, 269, 634, 681, 6686, 339, 2993, 1058, 5051, 1831, 513, 1747, 540, 3084, 17604, 563, 288, 1297, 540, 4930, 1683, 606, 5813, 883, 519, 1686, 543, 8941, 4478, 519, 681, 6686, 339, 2993, 912, 763, 681, 6686, 339, 2993, 1107, 962, 16518, 267, 4653, 543, 8751, 6563, 267, 700, 4157, 553, 715, 1512, 1457, 31000, 267, 16628, 590, 31769, 454, 763, 681, 6686, 339, 2993, 568, 4122, 5219, 547, 607, 519, 968, 290, 2784, 548, 540, 519, 18230, 32700, 6100, 1280, 513, 1279, 942, 267, 713, 7329, 22690, 545, 5544, 676, 8235, 772, 686, 729, 2808, 676, 4914, 8436, 547, 581, 513, 1164, 1448, 538, 741, 7552, 547, 16848, 269, 18222, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 700, 25604, 14473, 595, 6020, 12087, 26113, 1315, 23527, 1299, 21771, 1315, 15348, 1315, 2817, 14740, 543, 24686, 582, 1143, 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, 7170, 281, 13773, 15822, 6732, 281, 1323, 4985, 547, 15536, 9798, 9462, 498, 496, 692, 20756, 972, 256, 5620, 596, 2479, 4862, 827, 14590, 286, 898, 781, 899, 1373, 513, 15705, 945, 14014, 707, 3059, 1158, 689, 3983, 16921, 1572, 21190, 269, 1452, 5636, 1622, 2119, 547, 21102, 707, 2123, 1344, 267, 899, 721, 1716, 1868, 267, 18538, 267, 543, 5961, 267, 998, 519, 4950, 269, 2913, 781, 1451, 827, 9363, 2922, 2228, 865, 602, 596, 666, 1831, 513, 14590, 22299, 2439, 1262, 3963, 9701, 1284, 5516, 6168, 15536, 9798, 15140, 3086, 12997, 267, 649, 6108, 811, 942, 982, 2479, 1354, 1210, 5904, 267, 14342, 267, 543, 16389, 585, 782, 5686, 540, 1919, 1765, 25217, 1740, 267, 4730, 3756, 267, 8384, 7044, 267, 543, 1256, 6158, 547, 2828, 1472, 519, 8608, 256, 2060, 713, 2799, 4276, 2501, 519, 991, 547, 2149, 938, 4357, 9623, 269, 1403, 2576, 4991, 3180, 540, 621, 267, 789, 1223, 27642, 547, 581, 721, 610, 2014, 8373, 269, 2334, 779, 1141, 14590, 3268, 538, 780, 1262, 8139, 1215, 27725, 619, 4518, 4373, 5331, 2348, 513, 5728, 8630, 5264, 602, 1152, 707, 1655, 25097, 917, 827, 269, 3767, 4952, 952, 21046, 1336, 856, 1141, 621, 729, 543, 3323, 14229, 1136, 538, 796, 28717, 1243, 256, 2334, 1131, 1745, 7168, 28869, 344, 267, 1318, 286, 4270, 267, 1945, 2147, 4523, 2228, 950, 21190, 1265, 2081, 883, 4025, 789, 1810, 1406, 4866, 269, 1358, 1522, 6494, 16995, 15737, 267, 1711, 22801, 7270, 267, 610, 3262, 5739, 3301, 630, 10193, 1634, 607, 8290, 264, 547, 8945, 1004, 883, 4687, 741, 11580, 780, 1262, 6826, 5765, 589, 2264, 540, 24093, 1299, 20322, 5652, 20409, 12542, 4373, 15919, 267, 649, 26968, 5944, 2322, 6000, 538, 8594, 676, 14467, 6402, 689, 7164, 2959, 267, 1210, 2653, 3562, 28621, 612, 18538, 267, 610, 4687, 1932, 1454, 1344, 15597, 269, 1677, 3251, 2922, 267, 3314, 891, 4388, 1384, 272, 269, 5901, 707, 2123, 3877, 4357, 1107, 5213, 1406, 2671, 6213, 8631, 899, 9607, 610, 6049, 2338, 609, 1175, 4896, 2228, 563, 273, 269, 2422, 2178, 18538, 1107, 6056, 540, 513, 1187, 8360, 543, 1039, 930, 2338, 543, 6698, 269, 1280, 1383, 267, 968, 296, 414, 507, 353, 20804, 2414, 292, 520, 303, 14040, 4002, 293, 5090, 904, 17373, 3587, 968, 296, 283, 274, 307, 271, 292, 287, 339, 303, 328, 278, 345, 287, 293, 337, 272, 323, 287, 903, 256, 9731, 274, 269, 645, 1168, 732, 540, 3165, 344, 6835, 1107, 1403, 606, 4757, 610, 5048, 5654, 9490, 610, 12134, 585, 2123, 9623, 267, 5595, 27902, 609, 513, 11967, 2937, 1354, 14775, 563, 275, 269, 17115, 9337, 707, 3457, 1107, 12229, 10311, 1419, 2097, 609, 3354, 9283, 282, 3888, 873, 5781, 563, 276, 269, 11565, 707, 26756, 1107, 1879, 1945, 7959, 4636, 267, 6432, 547, 707, 8937, 4743, 543, 3343, 948, 780, 1262, 22492, 3117, 573, 3130, 585, 14886, 5808, 10261, 23448, 8081, 4373, 5278, 2828, 1522, 723, 513, 9875, 942, 1620, 1946, 14590, 6927, 610, 19551, 3106, 3652, 269, 9320, 789, 6560, 609, 2542, 267, 1565, 1007, 1983, 267, 610, 9878, 3007, 269, 1306, 513, 3743, 3059, 12504, 267, 2015, 4543, 873, 2259, 1434, 6208, 1247, 2228, 269, 8625, 267, 596, 666, 2263, 3579, 7270, 267, 1404, 2922, 3756, 267, 543, 1832, 1142, 824, 5150, 780, 1262, 29248, 1077, 618, 3414, 4065, 4373, 15447, 1578, 568, 1379, 267, 2523, 950, 621, 2501, 547, 7863, 3054, 538, 519, 3059, 7706, 269, 1635, 1565, 827, 14590, 9238, 1631, 267, 596, 2811, 2679, 513, 4396, 5748, 585, 4742, 10509, 1606, 822, 11803, 14038, 543, 4079, 2663, 269, 1924, 979, 6619, 267, 1491, 5279, 267, 543, 17774, 519, 1357, 4250, 8393, 28559, 2141, 3314, 547, 1413, 1312, 2081, 1354, 15385, 519, 8265, 1862, 1993, 21325, 543, 3283, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 303, 17123, 540, 5623, 454, 7712, 519, 6855, 267, 519, 3232, 2238, 540, 1082, 1004, 2049, 693, 1753, 269, 4658, 1921, 547, 519, 5769, 585, 960, 267, 1153, 267, 10918, 267, 9913, 267, 543, 4387, 11564, 267, 1519, 24004, 28748, 269, 1230, 9690, 569, 267, 6880, 13062, 830, 814, 1147, 3022, 5001, 269, 901, 2239, 2689, 12116, 519, 4657, 946, 540, 2029, 267, 6848, 5222, 540, 519, 6855, 267, 875, 6880, 13062, 830, 568, 9687, 267, 1367, 16426, 547, 6880, 13062, 830, 267, 543, 2027, 4145, 585, 1346, 609, 2790, 4576, 563, 14549, 2188, 616, 513, 3844, 5057, 540, 14590, 607, 1367, 5615, 267, 7209, 7592, 267, 2228, 2238, 267, 543, 8456, 547, 2029, 1764, 13438, 269, 10076, 4576, 949, 2333, 13438, 547, 6880, 13062, 830, 269, 634, 4220, 540, 6880, 13062, 830, 1058, 581, 6444, 607, 9601, 1995, 1279, 3856, 5626, 543, 2883, 4539, 269, 14904, 609, 2790, 4576, 949, 711, 581, 3222, 540, 519, 12178, 540, 6880, 13062, 830, 267, 540, 19408, 2228, 5615, 267, 610, 519, 3800, 547, 11574, 1981, 563, 22897, 2488, 3532, 2645, 585, 2618, 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, 24426, 828, 9798, 257, 607, 851, 540, 834, 28035, 1315, 32730, 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, 1015, 281, 6154, 5598, 7763, 665, 1484, 910, 1924, 2130, 3414, 519, 5794, 2439, 5970, 596, 2479, 2938, 2576, 11878, 513, 5179, 321, 833, 1247, 3257, 1166, 2354, 543, 15361, 998, 519, 2011, 286, 2334, 781, 1954, 5598, 2138, 665, 1484, 267, 4122, 1634, 607, 29482, 311, 256, 898, 781, 899, 8384, 27568, 24680, 1472, 593, 21891, 267, 7900, 25224, 338, 602, 3100, 7543, 269, 2913, 781, 4685, 883, 519, 1158, 540, 29482, 311, 543, 1451, 1018, 2306, 621, 865, 13858, 2439, 1262, 288, 667, 732, 22563, 559, 22505, 4373, 5331, 14964, 707, 17919, 1055, 513, 19856, 543, 10760, 998, 519, 6607, 1354, 13941, 12347, 269, 3767, 4952, 3257, 602, 593, 513, 3532, 5179, 321, 833, 256, 2334, 781, 4010, 1018, 29482, 311, 26348, 798, 269, 1358, 3432, 909, 741, 5179, 31260, 543, 10131, 2933, 1055, 7372, 15155, 1186, 1572, 834, 1633, 532, 17534, 2437, 8757, 15627, 6697, 547, 1079, 3613, 800, 5656, 269, 4495, 789, 2811, 538, 4571, 1515, 267, 789, 1685, 10265, 1673, 549, 6137, 1035, 13681, 18267, 1210, 741, 11332, 781, 555, 8527, 1479, 267, 804, 8553, 267, 543, 26039, 269, 1452, 9952, 9845, 6335, 267, 2490, 267, 16212, 267, 543, 8095, 1107, 782, 1247, 1373, 7366, 540, 3952, 538, 519, 2011, 2439, 1262, 307, 4459, 5406, 776, 281, 1323, 19196, 1746, 22858, 6625, 4373, 2467, 616, 1082, 11141, 7575, 538, 29482, 311, 267, 1142, 2016, 2189, 4408, 1759, 593, 875, 789, 1413, 269, 2368, 2442, 3283, 616, 1384, 265, 2878, 12988, 4148, 760, 5093, 3807, 899, 621, 4992, 267, 519, 31115, 4422, 18807, 936, 519, 6023, 321, 1513, 267, 18343, 2899, 1354, 556, 6618, 532, 609, 519, 11332, 10160, 23867, 563, 265, 2878, 21841, 2006, 5093, 2755, 538, 4571, 1515, 267, 519, 31115, 13071, 979, 540, 519, 20362, 543, 11498, 1312, 7916, 21286, 267, 3168, 2147, 547, 9823, 1290, 545, 779, 11599, 1915, 563, 265, 2878, 301, 659, 715, 659, 5093, 901, 1847, 3322, 14178, 835, 1850, 2786, 1394, 543, 8066, 5196, 519, 3723, 701, 326, 609, 519, 1482, 6186, 267, 2870, 513, 13326, 957, 1063, 519, 31115, 543, 519, 11332, 780, 4322, 616, 1175, 513, 1906, 1851, 9118, 824, 3860, 18902, 951, 2966, 676, 4250, 1652, 29482, 311, 4648, 780, 1262, 4467, 7065, 1431, 543, 2480, 1681, 4373, 1103, 19194, 267, 16488, 6060, 26348, 1759, 593, 7411, 267, 11056, 267, 4463, 267, 5169, 1275, 267, 543, 2511, 269, 3962, 6735, 5161, 540, 1896, 21448, 1141, 15712, 1205, 2789, 8942, 547, 13686, 741, 1983, 269, 2290, 4583, 2680, 3126, 568, 519, 2473, 10632, 267, 799, 14747, 1585, 3665, 5026, 2621, 5001, 269, 3509, 1283, 29482, 311, 9845, 7119, 538, 891, 3756, 1169, 1032, 267, 546, 9579, 1782, 4715, 2209 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 352, 379, 414, 352, 379, 414, 351, 375, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 484, 414, 510, 375, 414, 350, 360, 414, 352, 351, 414, 510, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 371, 414, 352, 506, 414, 351, 375, 414, 352, 379, 3097, 258, 2340, 352, 379, 414, 352, 379, 414, 350, 493, 414, 352, 379, 414, 352, 379, 414, 352, 357, 414, 352, 507, 414, 510, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 351, 499, 414, 510, 372, 414, 352, 505, 414, 352, 358, 414, 352, 354, 414, 352, 482, 414, 352, 358, 414, 351, 507, 414, 352, 505, 414, 350, 379, 414, 510, 379, 414, 352, 379, 414, 352, 379, 414, 352, 484, 414, 351, 507, 3097, 258, 2340, 352, 379, 414, 352, 379, 414, 351, 350, 414, 352, 372, 414, 352, 379, 414, 352, 493, 414, 352, 379, 414, 352, 379, 414, 352, 370, 414, 352, 363, 414, 352, 503, 414, 510, 360, 414, 351, 374, 414, 352, 379, 414, 352, 371, 414, 350, 486, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 350, 379, 414, 510, 379, 414, 351, 379, 414, 352, 509, 414, 352, 496, 414, 352, 489, 414, 352, 503, 414, 510, 488, 3097, 258, 2340, 352, 379, 414, 350, 493, 414, 350, 379, 414, 352, 505, 414, 352, 491, 414, 351, 379, 414, 352, 362, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 370, 414, 352, 370, 414, 352, 370, 414, 352, 370, 414, 352, 378, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 3097, 258, 2340, 352, 379, 414, 351, 365, 414, 352, 378, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 507, 414, 350, 362, 414, 350, 375, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 350, 379, 414, 510, 379, 414, 510, 505, 414, 352, 489, 414, 352, 375, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 3097, 258, 2340, 351, 379, 414, 351, 372, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 371, 414, 352, 377, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 350, 499, 414, 352, 350, 414, 352, 368, 414, 352, 370, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 350, 509, 414, 352, 379, 414, 352, 379, 414, 352, 379, 3097, 258, 2340, 352, 355, 414, 350, 372, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 350, 505, 414, 351, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 350, 485, 414, 352, 379, 414, 352, 379, 414, 352, 379, 3097, 258, 2340, 351, 505, 414, 510, 371, 414, 350, 373, 414, 352, 379, 414, 510, 489, 414, 352, 487, 414, 352, 510, 414, 352, 353, 414, 352, 370, 414, 352, 370, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 350, 379, 414, 510, 379, 414, 351, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 371, 414, 351, 373, 414, 352, 379, 414, 352, 379, 3097, 258, 2340, 352, 371, 414, 350, 507, 414, 352, 379, 414, 350, 508, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 350, 509, 414, 510, 489, 414, 510, 479, 414, 352, 510, 414, 352, 353, 414, 352, 353, 414, 352, 355, 414, 352, 377, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 350, 379, 414, 510, 489, 414, 510, 502, 414, 352, 379, 414, 352, 379, 3097, 258, 2340, 352, 379, 414, 352, 379, 414, 350, 373, 414, 352, 379, 414, 350, 376, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 356, 414, 350, 364, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 373, 414, 350, 379, 414, 510, 509, 414, 510, 487, 414, 350, 478, 414, 510, 482, 414, 510, 482, 414, 351, 379, 414, 352, 379, 3097, 258, 2340, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 377, 414, 352, 379, 414, 352, 376, 414, 352, 505, 414, 510, 379, 414, 510, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 379, 414, 352, 363, 414, 352, 379, 414, 510, 379, 414, 351, 509, 414, 352, 375, 414, 350, 377, 414, 351, 504, 414, 352, 353, 414, 350, 508, 414, 510, 482, 414, 510, 482, 414, 510, 482, 414, 351, 372, 414, 352, 379, 692, 5035, 8274, 3890, 1384, 825, 1219, 6449, 8181, 9191, 1345, 267, 562, 267, 726, 4067, 2187, 1038, 1582, 6155, 574, 3290, 815, 562, 454, 1038, 1582, 269, 2452, 619, 815, 11713, 1038, 585, 586, 538, 726, 4067, 912, 2018, 726, 815, 26761, 12169, 994, 2018, 1582, 269, 2452, 619, 6910, 263, 680, 994, 1038, 1582, 269, 30915, 1993, 9690, 16651, 815, 476, 271, 454, 1038, 1582, 269, 9690, 16651, 815, 1582, 269, 2452, 619, 314, 1345, 269, 30915, 1993, 9690, 16651, 2639, 1038, 1582, 269, 3319, 12682, 850, 815, 834, 343, 4840, 1038, 1582, 20481, 3799, 2020, 825, 1219, 1397, 4311, 267, 562, 2187, 1038, 1582, 269, 4580, 9795, 815, 11713, 1038, 1582, 4732, 12328, 815, 11713, 1038, 1582, 269, 641, 19991, 815, 11713, 13872, 1038, 585, 1535, 538, 2039, 3799, 2187, 2018, 1582, 269, 4580, 9795, 6910, 8443, 7481, 2018, 585, 9041, 538, 2039, 3799, 2187, 3546, 1582, 269, 4580, 9795, 20572, 4940, 6572, 4311, 269, 3319, 12682, 850, 994, 13872, 825, 1219, 1820, 12218, 4311, 2187, 1038, 585, 1535, 538, 1582, 269, 4580, 9795, 912, 2018, 585, 586, 538, 1535, 912, 3546, 1820, 12169, 267, 1439, 815, 1412, 30386, 2018, 1820, 4590, 8931, 825, 1219, 2638, 5417, 4311, 267, 1535, 267, 586, 2187, 1038, 952, 1582, 269, 4580, 9795, 314, 344, 6012, 343, 316, 11203, 1582, 269, 3319, 12682, 850, 912, 2018, 2132, 8771, 454, 1038, 3116, 912, 2018, 2132, 6936, 692, 825, 1219, 8591, 4311, 267, 4717, 2187, 1038, 1535, 815, 703, 263, 1723, 867, 21858, 3488, 1412, 25011, 271, 8079, 910, 476, 272, 454, 1038, 586, 815, 703, 263, 1723, 867, 21858, 3488, 1412, 25011, 272, 8079, 910, 476, 272, 454, 1038, 952, 711, 1582, 269, 13765, 5417, 3287, 267, 586, 2187, 2018, 1820, 2891, 16100, 596, 890, 701, 326, 1422, 333, 18921, 814, 1044, 3144, 5602, 2018, 2132, 454, 1038, 1582, 269, 4580, 9795, 314, 344, 6012, 343, 316, 815, 1412, 306, 7055, 1038, 1582, 269, 3832, 4242, 13990, 12169, 267, 1535, 994, 1038, 1582, 12785, 16651, 10797, 825, 1219, 1039, 334, 4311, 267, 4717, 2187, 1038, 1535, 815, 703, 263, 1723, 867, 21858, 3488, 1412, 25011, 271, 8079, 910, 476, 272, 454, 1038, 586, 815, 703, 263, 1723, 867, 21858, 3488, 1412, 25011, 272, 8079, 910, 476, 272, 454, 1038, 952, 711, 1582, 269, 13765, 5417, 3287, 267, 586, 2187, 2018, 1820, 2891, 16100, 596, 890, 701, 326, 1422, 333, 18921, 814, 1044, 3144, 5602, 2018, 2132, 454, 1038, 1582, 269, 4580, 9795, 314, 344, 6012, 343, 316, 815, 1412, 302, 7055, 1038, 1582, 269, 3832, 4242, 14537, 334, 12169, 267, 1535, 994, 1038, 1582, 12785, 16651, 10797, 825, 1219, 11974, 13990, 4311, 267, 586, 267, 1535, 2187, 1038, 585, 12189, 538, 2039, 8987, 272, 267, 476, 273, 2187, 2018, 585, 1110, 604, 343, 538, 2039, 8987, 272, 267, 476, 273, 2187, 3546, 952, 1110, 604, 343, 11203, 476, 271, 610, 12189, 11203, 476, 271, 912, 7386, 2119, 912, 13376, 952, 1582, 269, 4580, 9795, 314, 344, 1341, 12189, 6012, 343, 1341, 1110, 604, 343, 316, 2652, 1412, 302, 262, 543, 476, 1582, 269, 4580, 9795, 314, 344, 1341, 12189, 265, 273, 6012, 343, 1341, 1110, 604, 343, 265, 273, 316, 2652, 1412, 306, 12466, 23351, 1582, 269, 9690, 16651, 269, 611, 1091, 14537, 263, 272, 994, 7386, 4849, 912, 13376, 1780, 22562, 825, 1219, 11974, 14537, 334, 4311, 267, 586, 267, 1535, 2187, 1038, 585, 12189, 538, 2039, 8987, 272, 267, 476, 273, 2187, 2018, 585, 1110, 604, 343, 538, 2039, 8987, 272, 267, 476, 273, 2187, 3546, 952, 1110, 604, 343, 11203, 476, 271, 610, 12189, 11203, 476, 271, 912, 7386, 2119, 912, 13376, 952, 1582, 269, 4580, 9795, 314, 344, 1341, 12189, 6012, 343, 1341, 1110, 604, 343, 316, 2652, 1412, 306, 262, 543, 476, 1582, 269, 4580, 9795, 314, 344, 910, 12189, 6012, 343, 910, 1110, 604, 343, 316, 2652, 1412, 306, 12466, 23351, 1582, 269, 9690, 16651, 269, 611, 1091, 14537, 263, 272, 994, 7386, 4849, 912, 13376, 1780, 3097, 4449, 8931, 825, 1219, 1985, 16651, 4311, 2187, 1038, 1582, 269, 30915, 1993, 9690, 16651, 815, 630, 1345, 269, 30915, 1993, 9690, 16651, 1341, 476, 272, 264, 4939, 7003, 4311, 269, 2452, 619, 994, 1038, 1582, 269, 9690, 16651, 815, 1582, 269, 2452, 619, 314, 1345, 269, 30915, 1993, 9690, 16651, 6540, 825, 1219, 1820, 16557, 4311, 2187, 1038, 1820, 3488, 14483, 24143, 568, 2433, 5073, 1038, 1775, 815, 476, 271, 454, 1038, 585, 1535, 538, 1582, 269, 2452, 619, 912, 2018, 1775, 815, 1775, 1341, 476, 272, 454, 2018, 1820, 3488, 32156, 1412, 1341, 1193, 9217, 264, 1341, 834, 834, 1341, 1535, 20508, 1341, 1412, 24143, 2433, 1412, 1341, 1193, 3287, 6230, 903, 14537, 264, 9239, 825, 1219, 2638, 6358, 4311, 267, 4717, 2187, 1038, 2119, 281, 13872, 2018, 513, 815, 703, 263, 1723, 867, 21858, 3488, 1412, 25011, 271, 7481, 2018, 536, 815, 703, 263, 1723, 867, 21858, 3488, 1412, 25011, 272, 7481, 2018, 9041, 815, 1582, 269, 4580, 9795, 314, 321, 6012, 320, 2639, 2018, 2132, 6936, 454, 1038, 4849, 912, 2018, 1820, 2891, 19152, 1590, 581, 476, 273, 8870, 11282, 1063, 476, 272, 543, 834, 1341, 1193, 4311, 6155, 574, 3290, 4917, 2018, 1820, 4590, 2018, 2132, 8771, 19638, 27030, 1363, 692, 5035, 26761, 3890, 1384, 825, 1219, 6449, 8181, 9191, 1345, 267, 2012, 2187, 1038, 1582, 20508, 815, 2012, 454, 1038, 1582, 6230, 903, 14537, 815, 476, 271, 8528, 825, 1219, 1039, 16557, 4311, 267, 562, 2187, 1038, 1582, 6230, 903, 14537, 815, 1582, 6230, 903, 14537, 1341, 562, 692, 3698, 1292, 10031, 825, 607, 857, 328, 318, 3316, 1676, 815, 7510, 14808, 2280, 8807, 580, 2280, 318, 8971, 2891, 306, 5308, 23817, 4932, 308, 32405, 825, 1820, 263, 30913, 328, 318, 3316, 1676, 2020, 825, 726, 4067, 815, 11713, 825, 1820, 2891, 2791, 991, 693, 2547, 476, 272, 6345, 5602, 825, 1045, 531, 815, 834, 4840, 825, 8520, 328, 815, 476, 271, 454, 825, 1247, 476, 272, 912, 1038, 8520, 328, 815, 8520, 328, 1341, 476, 272, 454, 1038, 1045, 531, 815, 3403, 2891, 11767, 2012, 585, 6345, 834, 1341, 1193, 263, 31467, 328, 264, 1341, 834, 630, 6358, 1412, 17380, 262, 547, 3247, 6345, 3403, 264, 5602, 1038, 952, 1045, 531, 2652, 834, 17380, 13426, 2018, 2736, 454, 1038, 726, 4067, 6910, 263, 514, 1998, 994, 825, 521, 657, 4580, 815, 8274, 263, 1015, 267, 726, 4067, 994, 825, 1247, 476, 272, 912, 1038, 1820, 2891, 7312, 2490, 281, 257, 1341, 521, 657, 4580, 269, 9690, 16651, 20508, 994, 1038, 1130, 815, 3403, 2891, 11754, 1412, 306, 262, 610, 1412, 302, 262, 315, 333, 8442, 3097, 1038, 952, 1130, 538, 18358, 306, 3299, 1412, 338, 11172, 912, 2018, 4717, 815, 3403, 2891, 13729, 11282, 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, 7712, 519, 2243, 12134, 585, 519, 3196, 1813, 547, 8652, 18878, 2604, 267, 543, 11626, 2604, 568, 538, 454, 1492, 8652, 18878, 2604, 267, 594, 1589, 621, 568, 1655, 547, 1331, 621, 538, 713, 1267, 563, 2252, 519, 2243, 4280, 585, 968, 1492, 2121, 454, 4403, 2223, 1287, 519, 2604, 3330, 519, 26434, 1131, 723, 547, 581, 3769, 563, 2252, 519, 2604, 3330, 519, 26434, 454, 26200, 9738, 693, 11626, 267, 799, 1131, 581, 513, 10257, 13429, 952, 1004, 616, 3330, 267, 1287, 602, 454, 4403, 1131, 22599, 856, 519, 11626, 2165, 538, 519, 1267, 1657, 267, 543, 1152, 519, 2597, 540, 519, 1216, 1131, 454, 2171, 786, 3398, 2901, 2626, 267, 2094, 649, 616, 3450, 8030, 267, 711, 1876, 1053, 563, 1103, 2489, 267, 952, 513, 454, 2889, 12378, 12134, 585, 519, 968, 6339, 3196, 892, 543, 11626, 2604, 6411, 593, 1312, 5011, 540, 513, 2627, 267, 1287, 4657, 454, 1492, 11626, 2604, 2306, 1100, 3017, 267, 543, 621, 1058, 711, 2408, 538, 519, 2626, 563, 17004, 676, 1603, 856, 519, 18304, 602, 454, 2750, 12304, 713, 2165, 538, 18582, 2125, 10035, 267, 1210, 519, 13506, 11346, 563, 17004, 602, 267, 585, 1022, 1599, 454, 4501, 485, 6398, 3980, 485, 395, 484, 0, 11386, 3690, 17218, 2598, 25068, 454, 288, 1297, 540, 3817, 593, 519, 6554, 540, 32527, 520, 3832, 9774, 781, 3896, 723, 1044, 24015, 12261, 538, 3943, 269, 1452, 16627, 616, 4857, 676, 513, 5835, 4216, 538, 519, 1318, 610, 2451, 7841, 602, 20998, 519, 3095, 2630, 269, 634, 1753, 2985, 585, 3943, 25082, 1543, 593, 713, 3135, 666, 581, 1336, 693, 912, 8489, 606, 4013, 8144, 568, 711, 2139, 267, 5616, 12814, 3690, 17218, 666, 581, 1031, 269, 5616, 12814, 3690, 17218, 568, 513, 1863, 2228, 1893, 8144, 3028, 602, 666, 14377, 1257, 543, 1357, 3817, 883, 1114, 4654, 269, 25927, 725, 616, 1500, 2139, 547, 2333, 1569, 547, 6554, 540, 32527, 520, 3832, 9774, 1543, 585, 5095, 4171, 1101, 1893, 568, 711, 2296, 563, 25413, 2264, 2861, 16627, 798, 711, 1935, 519, 21711, 540, 513, 5065, 10584, 610, 4865, 519, 5578, 540, 513, 3318, 6037, 1807, 269, 634, 8144, 1058, 711, 581, 2808, 3169, 267, 543, 949, 1331, 11234, 610, 18086, 1893, 269, 634, 6554, 540, 32527, 520, 3832, 9774, 1281, 711, 15549, 519, 6111, 267, 10727, 610, 4626, 17165, 540, 1022, 1344, 12261, 676, 713, 1062, 269, 2368, 6119, 610, 3688, 3112, 581, 12261, 267, 1519, 11708, 267, 6337, 543, 824, 3758, 12043, 971, 607, 15409, 3561, 12043, 630, 14457, 338, 1916, 12179, 1268, 610, 9988, 602, 7048, 593, 1344, 5833, 689, 519, 1062, 1281, 865, 693, 1010, 610, 1200, 1378, 1981, 269, 6554, 540, 32527, 520, 3832, 9774, 568, 711, 3743, 585, 1022, 3441, 610, 2152, 602, 949, 7654, 1267, 689, 1210, 12261, 3896, 1543, 269, 1403, 596, 723, 1022, 2055, 827, 5616, 12814, 3690, 17218, 267, 5225, 3643, 281, 5616, 12814, 3690, 17218, 14174, 17988, 563, 2467, 616, 1082, 2249, 540, 20715, 2371, 602, 1332, 538, 32527, 520, 3832, 9774, 269, 6884, 267, 891, 2371, 666, 581, 513, 1981, 547, 707, 13184, 269, 18833, 519, 4220, 543, 5883, 9935, 568, 1271, 547, 1118, 2386, 707, 13184, 3251, 2635, 563, 22437, 2581, 748, 2371, 1058, 581, 2808, 950, 4947, 909, 609, 513, 21737, 1544, 269, 1411, 616, 1454, 811, 2693, 547, 2097, 2066, 20715, 2371, 538, 5065, 2250, 999, 267, 855, 789, 666, 1869, 581, 606, 3390, 2282, 19126, 543, 593, 29649, 11934, 538, 512, 877, 4610, 269, 2368, 540, 519, 811, 1455, 20715, 2371, 596, 1522, 1265, 538, 32527, 520, 3832, 9774, 1331, 1216, 646, 6447, 1442, 267, 15798, 728, 15561, 24124, 267, 2669, 4342, 553, 267, 1327, 578, 3975, 543, 5144, 23439, 577, 269, 1744, 16421, 899, 32527, 520, 3019, 543, 1781, 651, 7815, 787, 666, 849, 8914, 13184, 602, 616, 7142, 547, 1178, 2763, 873, 269, 898, 666, 581, 2352, 547, 1832, 3950, 540, 782, 519, 5732, 20715, 2371, 538, 707, 2250, 999, 267, 855, 972, 568, 513, 1592, 540, 519, 2371, 547, 1413, 856, 585, 593, 2985, 476, 6872, 540, 19737, 32527, 520, 3832, 9774, 681, 13370, 1343, 269, 17291, 20715, 2371, 568, 606, 1271, 5578, 602, 786, 948, 596, 4383, 519, 1981, 547, 707, 21737, 13184, 563, 4407, 6757, 2371, 616, 3833, 1455, 267, 13184, 8914, 902, 616, 4686, 269, 901, 568, 1317, 13184, 4043, 547, 2057, 4189, 20715, 2371, 950, 789, 723, 824, 3681, 2139, 269, 634, 1655, 1259, 547, 2569, 519, 1981, 547, 707, 13184, 568, 547, 1118, 2386, 972, 568, 7899, 540, 1434, 28532, 2139, 538, 707, 2250, 999, 269, 901, 568, 513, 5100, 2259, 585, 1082, 824, 4128, 267, 855, 621, 781, 2523, 1271, 952, 596, 917, 972, 616, 6757, 2371, 1459, 563, 24836, 4506, 942, 568, 1776, 3364, 547, 2015, 950, 5883, 585, 6757, 2371, 269, 1530, 553, 728, 15561, 24124, 267, 585, 1383, 267, 9428, 5488, 538, 519, 5614, 3379, 547, 519, 2249, 1472, 621, 267, 865, 7996, 547, 1178, 2763, 2394, 2663, 538, 519, 4005, 666, 2569, 519, 1981, 269, 700, 12083, 616, 849, 811, 2693, 547, 3548, 20715, 2371, 950, 6410, 593, 547, 513, 4195, 27892, 267, 2523, 952, 789, 616, 17237, 269, 3550, 707, 13184, 616, 1134, 1922, 539, 1354, 3001, 873, 547, 513, 27892, 609, 6757, 2371, 547, 2569, 519, 1981, 540, 15464, 563, 3080, 2063, 7156, 568, 707, 7777, 1982, 269, 2368, 6757, 2371, 18645, 20919, 267, 799, 666, 1118, 873, 811, 13267, 547, 13184, 945, 616, 7508, 1945, 538, 741, 2732, 269, 4475, 267, 513, 1434, 7777, 1982, 666, 948, 2061, 707, 2831, 689, 4189, 1919, 789, 12582, 1405, 563, 763, 2589, 540, 15464, 666, 1459, 607, 4376, 689, 4389, 3662, 2773, 547, 5996, 6160, 687, 543, 9019, 269, 1411, 1058, 5077, 707, 16943, 952, 596, 6336, 1022, 2831, 610, 14353, 707, 13184, 723, 1044, 8914, 539, 269, 14351, 7313, 2581, 532, 12518, 540, 5375, 4516, 568, 606, 5140, 4199, 547, 948, 2697, 6757, 2371, 538, 707, 27892, 267, 607, 1134, 607, 519, 4191, 540, 15464, 543, 519, 21737, 2175, 602, 1118, 2152, 609, 6757, 2371, 811, 2693, 563, 22437, 2581, 748, 27892, 2371, 616, 1945, 547, 581, 3222, 540, 950, 1818, 2359, 3664, 267, 855, 267, 952, 7307, 1318, 267, 789, 2356, 1810, 1405, 2014, 1022, 2042, 269, 1280, 948, 7114, 543, 5883, 585, 6757, 2371, 538, 707, 2250, 999, 267, 1289, 519, 11982, 11310, 10418, 693, 476, 272, 268, 279, 5780, 268, 3393, 278, 268, 279, 4391, 278, 269, 0, 5575, 2479, 11683, 13477, 28473, 2353, 10060, 10794, 281, 6723, 670, 9007, 834, 289, 23042, 257, 25288, 1159, 10449, 1862, 8461, 14351, 14272, 720, 454, 4350, 274, 11683, 13477, 28473, 2353, 21178, 541, 10794, 454, 763, 3689, 16066, 289, 2353, 21178, 541, 10794, 267, 476, 4350, 274, 454, 763, 3689, 16066, 289, 2353, 10060, 10794, 568, 5129, 476, 4350, 274, 454, 300, 1749, 28026, 4147, 923, 630, 4350, 274, 994, 763, 476, 4350, 274, 11683, 13477, 28473, 2353, 21178, 541, 10794, 729, 519, 1101, 7160, 540, 519, 2353, 21178, 541, 10794, 1634, 607, 519, 834, 300, 1749, 28026, 25839, 2668, 901, 729, 519, 1101, 4013, 4730, 540, 519, 4571, 572, 1783, 14266, 13836, 3014, 1063, 11683, 13477, 28473, 781, 630, 7876, 289, 781, 264, 2817, 13477, 630, 301, 299, 264, 543, 1977, 630, 3201, 264, 2353, 21178, 541, 6887, 269, 634, 3014, 729, 4371, 593, 5147, 476, 277, 267, 476, 4350, 274, 267, 693, 1290, 529, 4486, 5244, 538, 9628, 267, 13325, 267, 519, 1753, 540, 519, 9338, 781, 9628, 6519, 1924, 343, 269, 634, 3014, 8507, 538, 519, 9338, 9396, 908, 519, 715, 299, 476, 275, 1700, 273, 267, 538, 1079, 3108, 543, 2947, 3764, 563, 18439, 2796, 1302, 1644, 3381, 2984, 538, 513, 1007, 3750, 2275, 10248, 1259, 269, 8347, 10395, 3122, 1631, 256, 0, 3963, 1411, 10261, 1306, 2106, 28942, 18734, 25042, 454, 288, 27675, 28942, 4483, 7154, 610, 11083, 300, 568, 513, 1591, 1759, 14291, 1505, 799, 814, 4547, 606, 13120, 538, 519, 2792, 1949, 891, 2395, 543, 616, 4143, 547, 13033, 269, 901, 2882, 513, 1390, 4308, 540, 5140, 2934, 543, 666, 7500, 593, 1312, 29135, 543, 654, 3198, 4296, 563, 763, 5354, 540, 721, 5431, 609, 519, 2262, 11083, 300, 855, 649, 18923, 1174, 4376, 827, 922, 2773, 610, 875, 621, 1568, 269, 1284, 18923, 1256, 1174, 1018, 713, 28008, 4564, 269, 4270, 11083, 300, 4481, 1797, 607, 2106, 28942, 4483, 7154, 543, 666, 581, 9138, 607, 513, 3622, 1591, 1759, 14291, 4480, 799, 4481, 2306, 519, 946, 540, 607, 2106, 28942, 942, 8257, 2789, 343, 532, 602, 2306, 621, 2009, 585, 17683, 540, 1880, 1344, 883, 1978, 21092, 2281, 610, 1591, 20794, 543, 3091, 1808, 1239, 3095, 4494, 2533, 799, 4481, 7500, 593, 744, 10485, 23771, 476, 272, 2168, 6402, 269, 4270, 1034, 1419, 1004, 11015, 621, 609, 10189, 23564, 5121, 899, 519, 5769, 16257, 610, 25494, 1141, 1585, 21092, 2370, 21168, 616, 8246, 585, 1239, 4483, 563, 2969, 300, 610, 607, 2106, 28942, 4483, 7154, 3335, 19299, 5321, 540, 1312, 5686, 540, 13033, 267, 31552, 621, 666, 581, 1031, 538, 1312, 5547, 23564, 607, 1134, 607, 10189, 4957, 13033, 799, 1522, 4196, 607, 519, 1360, 1655, 2081, 540, 513, 2647, 2039, 540, 1239, 4483, 269, 898, 568, 11338, 1360, 3617, 585, 1483, 942, 2923, 6283, 269, 634, 1374, 799, 568, 3226, 1500, 946, 540, 538, 713, 1808, 7154, 540, 1239, 4483, 568, 5097, 4276, 20218, 267, 4061, 3362, 26082, 519, 476, 273, 1439, 2798, 609, 5691, 5547, 1256, 1354, 519, 1239, 6238, 22151, 563, 2171, 948, 596, 609, 23916, 570, 272, 5769, 20514, 269, 901, 2985, 568, 513, 2110, 17609, 540, 519, 2472, 4481, 6035, 676, 570, 272, 15812, 564, 538, 8235, 22810, 563, 2026, 649, 979, 4464, 267, 938, 6999, 568, 547, 16111, 2087, 938, 1587, 17008, 269, 1284, 1631, 5838, 13055, 3688, 2356, 8246, 676, 8273, 3549, 267, 12077, 281, 6775, 552, 22313, 267, 12463, 11862, 3060, 3028, 267, 32726, 274, 267, 543, 6531, 7384, 19961, 9447, 936, 513, 6775, 23726, 22449, 269, 3509, 540, 938, 19057, 1256, 1683, 1942, 6954, 7307, 595, 8646, 31425, 585, 3818, 4458, 11731, 269, 6301, 569, 267, 938, 6662, 568, 547, 1020, 513, 6125, 609, 596, 910, 938, 7817, 910, 602, 786, 2063, 585, 1296, 547, 2097, 269, 2423, 940, 707, 3972, 568, 4010, 1018, 649, 798, 1934, 269, 3117, 6326, 596, 2724, 593, 22237, 19961, 2533, 568, 875, 649, 1832, 621, 269, 0, 27807, 817, 20156, 568, 519, 6268, 540, 6908, 1072, 1210, 2713, 7103, 538, 2067, 2825, 4609, 630, 306, 6717, 310, 14641, 267, 476, 1001, 275, 1040, 898, 568, 519, 1184, 547, 22945, 2713, 7103, 1996, 519, 22297, 21500, 676, 10203, 1367, 2338, 693, 513, 1880, 4087, 538, 519, 6908, 269, 769, 6476, 547, 2757, 1216, 2298, 7403, 630, 338, 539, 2939, 267, 2698, 9436, 630, 307, 301, 1070, 543, 2698, 16903, 630, 9143, 24270, 6915, 817, 20156, 3800, 606, 7471, 6908, 1072, 607, 519, 2713, 7103, 616, 6534, 547, 2789, 21500, 936, 942, 269, 12713, 817, 20156, 2047, 3800, 519, 8699, 540, 12748, 1272, 799, 568, 1759, 593, 1216, 2298, 269, 30003, 31174, 1137, 1031, 585, 6915, 817, 20156, 616, 13479, 267, 27738, 267, 5017, 267, 3165, 267, 12550, 514, 591, 974, 18093, 267, 543, 15466, 2371, 269, 769, 713, 1353, 267, 6915, 817, 20156, 568, 11117, 1759, 593, 12550, 514, 591, 974, 24260, 543, 3165, 10386, 563, 763, 7678, 585, 12550, 514, 591, 974, 24260, 15717, 8464, 729, 6404, 609, 930, 2127, 5355, 1247, 824, 17379, 269, 634, 7678, 585, 519, 4994, 540, 1979, 5328, 8699, 585, 3165, 2249, 729, 19394, 267, 10834, 4057, 1216, 2298, 269, 0, 25200, 281, 27285, 20540, 281, 27286, 1607, 7688, 5161, 540, 476, 276, 2789, 3903, 543, 476, 276, 2110, 2626, 2055, 998, 3487, 476, 274, 267, 3848, 476, 1724, 563, 21296, 14893, 5999, 454, 272, 269, 32722, 1135, 3149, 538, 476, 1220, 273, 11385, 730, 1472, 519, 476, 2004, 260, 1665, 1851, 5840, 529, 936, 2436, 789, 1223, 3398, 606, 4830, 13322, 13090, 1533, 1985, 7450, 563, 273, 269, 26757, 16980, 30877, 972, 568, 1100, 13322, 27702, 5840, 610, 21157, 563, 274, 269, 634, 3935, 601, 6645, 519, 4807, 602, 646, 23216, 602, 519, 13114, 29562, 17330, 1582, 910, 13322, 1693, 563, 5416, 264, 6796, 4708, 21308, 563, 6357, 264, 2552, 9776, 3338, 563, 275, 269, 26757, 16980, 6212, 593, 519, 3099, 540, 13322, 1693, 693, 519, 12456, 2444, 639, 19835, 693, 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 ]