Datasets:
SmallDoge
/
stable_dataset_processed

Dataset card Data Studio Files
xet
Community
Search is not available for this dataset
input_ids
sequencelengths
1
2.05k
attention_mask
sequencelengths
1
2.05k
[ 1305, 909, 606, 15692, 1646, 1604, 543, 946, 5084, 307, 609, 519, 661, 743, 15199, 9517, 292, 269, 4746, 267, 23784, 5213, 333, 21634, 12027, 12857, 15692, 22456, 267, 513, 5616, 9517, 292, 602, 786, 5555, 5372, 661, 743, 15199, 563, 9596, 875, 547, 946, 661, 743, 15199, 543, 5084, 307, 1927, 547, 1020, 15692, 3009, 454, 8620, 900, 22399, 540, 1585, 7306, 543, 19383, 547, 1449, 707, 3009, 454, 22913, 661, 743, 15199, 2645, 267, 610, 2263, 519, 1007, 15692, 22456, 454, 8196, 8298, 13906, 267, 700, 842, 267, 543, 824, 5084, 307, 2645, 547, 1449, 543, 3181, 1872, 707, 3009, 454, 8245, 3634, 1483, 8996, 2621, 267, 1519, 4087, 267, 8596, 267, 543, 7658, 21620, 454, 8620, 6422, 543, 3608, 772, 3674, 267, 1210, 8641, 673, 20233, 719, 2645, 454, 12507, 3218, 543, 11126, 596, 3498, 2773, 1210, 30250, 5960, 267, 28762, 8944, 8698, 518, 267, 543, 519, 15692, 18554, 1907, 454, 8196, 654, 23275, 543, 31930, 547, 5352, 3009, 543, 3239, 7221, 454, 15253, 850, 543, 10189, 15692, 3009, 609, 4165, 543, 27240, 548, 454, 6637, 476, 272, 15775, 29035, 454, 9743, 16226, 519, 15692, 12229, 4886, 14173, 454, 29753, 9453, 661, 743, 15199, 454, 3519, 14808, 1005, 513, 27620, 585, 4886, 454, 6637, 476, 273, 12708, 13088, 454, 4517, 5514, 13891, 1872, 15167, 630, 4696, 289, 994, 6637, 476, 274, 4762, 580, 1005, 20905, 543, 2506, 22399, 454, 8794, 513, 8447, 27620, 585, 4886, 454, 8794, 606, 2506, 15975, 585, 4886, 454, 4517, 5514, 14044, 20905, 454, 28723, 2506, 15975, 4762, 580, 4851, 454, 6637, 476, 275, 4635, 20905, 543, 2506, 22399, 454, 8794, 519, 2506, 15975, 454, 14946, 518, 13088, 13335, 454, 6637, 476, 276, 15043, 609, 661, 743, 15199, 454, 2304, 10532, 540, 519, 661, 743, 15199, 3718, 10628, 454, 763, 15692, 6206, 454, 30022, 20895, 585, 24701, 454, 8448, 12708, 661, 743, 15199, 10374, 25797, 454, 6637, 476, 277, 15043, 609, 15692, 22456, 454, 9743, 16226, 15692, 22456, 454, 2304, 10532, 540, 519, 15692, 22456, 9517, 292, 454, 763, 1715, 12856, 540, 606, 15692, 5741, 454, 17730, 1715, 15692, 22020, 454, 299, 599, 719, 5071, 518, 543, 20233, 719, 2776, 1613, 454, 17653, 908, 606, 6673, 298, 454, 11328, 716, 532, 609, 631, 13273, 543, 27240, 548, 454, 309, 619, 542, 6513, 16949, 454, 300, 580, 7992, 689, 661, 743, 15199, 454, 4517, 5514, 22456, 9669, 543, 570, 9581, 454, 6637, 476, 278, 13281, 2659, 8943, 454, 6637, 476, 279, 3244, 6819, 15638, 454, 8245, 6819, 19715, 543, 13705, 525, 454, 8245, 6819, 17791, 21620, 15051, 454, 2419, 4474, 32730, 30352, 454, 8794, 513, 27620, 609, 32190, 2506, 1637, 454, 28723, 32190, 13281, 454, 14946, 518, 18169, 32386, 454, 6637, 476, 280, 12706, 13088, 454, 15253, 4979, 2659, 8943, 454, 303, 871, 1645, 606, 6673, 298, 585, 24793, 454, 19465, 689, 519, 16710, 7412, 4635, 4165, 454, 28723, 13268, 1645, 17778, 454, 294, 2784, 548, 15369, 12706, 13088, 454, 8794, 519, 631, 13273, 13088, 454, 6637, 476, 1015, 16424, 3590, 8249, 454, 300, 25514, 26402, 538, 15692, 454, 291, 531, 341, 1731, 13891, 1872, 18554, 18218, 630, 24884, 5960, 994, 300, 25514, 8890, 10045, 15484, 630, 21316, 994, 6637, 476, 1556, 11554, 609, 519, 14871, 28497, 454, 4517, 5514, 20233, 719, 9978, 16610, 454, 10955, 1746, 24701, 28567, 6034, 569, 454, 22998, 609, 29093, 454, 6637, 476, 1321, 4635, 519, 8641, 673, 15503, 454, 17653, 908, 20233, 8083, 4635, 519, 8641, 673, 20233, 719, 15503, 454, 300, 833, 16423, 5459, 568, 513, 13730, 5985, 14704, 270, 16467, 518, 2324, 856, 540, 27925, 267, 589, 313, 269, 1261, 814, 1044, 538, 519, 3301, 2361, 585, 3592, 476, 736, 1296, 267, 543, 609, 15692, 2094, 922, 4367, 269, 17497, 267, 646, 10953, 15692, 3156, 585, 519, 1072, 1416, 2361, 269, 1261, 814, 2854, 513, 3099, 540, 3811, 8924, 267, 543, 568, 1655, 1634, 585, 519, 834, 291, 5514, 2986, 634, 4303, 257, 2561, 563, 300, 833, 814, 6170, 1010, 4876, 4543, 1866, 1451, 2029, 269, 1261, 4867, 8255, 519, 2199, 5616, 3763, 518, 6828, 267, 543, 814, 1044, 513, 15400, 1139, 7163, 540, 513, 3099, 540, 824, 1895, 1565, 2238, 269, 1261, 814, 9275, 827, 15692, 543, 5985, 1646, 693, 513, 3099, 540, 19014, 543, 3593, 2516, 563, 2691, 646, 568, 711, 2520, 22701, 856, 827, 11436, 267, 646, 21593, 519, 13964, 630, 338, 852, 24692, 267, 19482, 267, 1085, 18866, 11362, 1070, 10655, 18027, 313, 7006, 839, 619, 267, 543, 31743, 1010, 1762, 630, 8117, 2656, 264, 8250, 563, 763, 3662, 593, 519, 3382, 540, 15692, 3763, 518, 13088, 12708, 338, 568, 513, 22101, 578, 776, 630, 2102, 639, 290, 553, 340, 23581, 1070, 513, 1804, 267, 8184, 1652, 6177, 602, 568, 5065, 547, 519, 31140, 540, 1715, 19892, 543, 288, 20624, 269, 901, 12593, 5161, 540, 1614, 2249, 281, 835, 568, 17255, 543, 519, 1964, 616, 2713, 855, 754, 11139, 269, 898, 568, 6059, 602, 1152, 476, 272, 267, 4335, 22101, 578, 2456, 2291, 538, 519, 30810, 540, 5245, 11482, 833, 519, 522, 1598, 747, 543, 519, 900, 340, 267, 519, 22101, 578, 776, 568, 513, 3731, 924, 267, 610, 8184, 1652, 6177, 269, 4014, 519, 22764, 2249, 540, 22101, 578, 776, 8428, 5594, 538, 2450, 267, 519, 8828, 22101, 578, 776, 568, 519, 4102, 267, 5976, 8951, 8757, 15627, 540, 3670, 543, 513, 3368, 3952, 269, 6736, 741, 11999, 2450, 267, 22101, 578, 926, 612, 889, 338, 626, 5631, 593, 5613, 602, 723, 15468, 689, 4054, 543, 786, 12212, 3548, 325, 2426, 639, 610, 7786, 952, 2556, 269, 1358, 15179, 741, 1426, 2898, 267, 3006, 2921, 538, 3003, 3316, 11446, 610, 22600, 657, 538, 835, 575, 592, 335, 563, 5472, 2249, 540, 22101, 578, 776, 616, 3109, 609, 6505, 4544, 543, 2699, 683, 4242, 543, 2182, 856, 29115, 810, 325, 17145, 593, 519, 25568, 540, 741, 9843, 1572, 8732, 13196, 269, 1703, 568, 1454, 7521, 827, 1018, 335, 17123, 519, 8732, 13196, 4196, 267, 609, 6436, 8151, 689, 4027, 689, 9991, 4829, 547, 534, 24582, 540, 519, 5017, 685, 678, 22824, 7125, 269, 898, 568, 849, 2009, 602, 789, 1450, 519, 6177, 547, 1721, 613, 6619, 998, 10053, 4104, 2208, 267, 609, 519, 8732, 4302, 9117, 607, 513, 4402, 532, 15155, 547, 27234, 16714, 856, 540, 519, 1259, 269, 634, 5394, 17207, 602, 19799, 519, 6177, 779, 1560, 616, 849, 2219, 1729, 1683, 4027, 689, 519, 896, 29115, 2016, 741, 2189, 1079, 6709, 2683, 1374, 563, 293, 24580, 22101, 578, 2456, 616, 1454, 3677, 982, 9038, 543, 616, 538, 5279, 540, 27510, 9960, 663, 10470, 1222, 269, 2991, 513, 4775, 2824, 338, 513, 19898, 267, 789, 5480, 585, 3592, 513, 3923, 1354, 3691, 5338, 269, 634, 4775, 786, 1711, 513, 9566, 543, 2482, 519, 5798, 267, 1287, 5612, 1376, 1055, 547, 22772, 1776, 19898, 269, 634, 4651, 1287, 17861, 919, 519, 5798, 2394, 789, 24011, 676, 9361, 593, 873, 1721, 15823, 2395, 269, 17926, 22101, 578, 2456, 616, 4535, 609, 16009, 543, 3043, 26145, 547, 948, 873, 11100, 514, 609, 519, 1033, 761, 639, 593, 519, 22986, 6989, 269, 634, 32138, 1246, 741, 4651, 1472, 585, 12671, 4557, 3275, 543, 1451, 875, 547, 28532, 4829, 543, 7786, 269, 16828, 267, 519, 4651, 669, 1162, 519, 32138, 2476, 865, 602, 789, 666, 1376, 1272, 593, 741, 1378, 543, 646, 666, 9742, 609, 1776, 325, 24580, 563, 290, 817, 578, 2456, 616, 5393, 16857, 267, 865, 538, 519, 3552, 789, 616, 22072, 7068, 269, 13575, 16269, 616, 21183, 1472, 3425, 267, 1904, 532, 547, 2196, 2476, 2864, 982, 581, 8068, 269, 1717, 22698, 817, 578, 2456, 666, 581, 1360, 5906, 547, 1004, 543, 824, 2831, 952, 1008, 12097, 269, 9717, 519, 3433, 693, 799, 1480, 10340, 568, 1958, 549, 2286, 2390, 22101, 578, 776, 9249, 267, 2196, 15564, 609, 28205, 9649, 5017, 616, 4742, 811, 543, 811, 1455, 269, 769, 476, 1220, 274, 267, 476, 5611, 6285, 5473, 21065, 753, 941, 4080, 267, 543, 476, 4037, 260, 540, 891, 3357, 689, 8320, 540, 1004, 3843, 547, 3049, 1492, 5017, 269, 634, 22101, 578, 776, 779, 1655, 8878, 568, 922, 546, 16925, 6438, 32356, 267, 835, 593, 1142, 4099, 23179, 267, 6518, 666, 1332, 547, 581, 2185, 6279, 1279, 269, 2290, 14736, 689, 513, 22101, 578, 776, 779, 3532, 7953, 666, 16435, 823, 1930, 782, 855, 519, 27162, 4554, 554, 1938, 269, 23883, 538, 7187, 5245, 267, 1141, 9897, 20312, 624, 1492, 31140, 267, 13341, 609, 22101, 578, 2456, 616, 593, 519, 4473, 269, 4014, 1804, 2220, 23411, 540, 1633, 616, 1631, 6870, 267, 519, 2104, 540, 519, 22101, 578, 776, 568, 607, 15458, 607, 602, 540, 519, 22986, 282, 18485, 1590, 25077, 609, 1480, 1646, 543, 519, 2825, 2360, 540, 2518, 342, 9879, 563, 763, 3382, 3239, 568, 689, 519, 667, 1478, 11625, 3645, 25201, 269, 634, 3382, 13944, 568, 23489, 8668, 290, 294, 541, 600, 1180, 269, 634, 1257, 13944, 568, 23489, 3687, 542, 1160, 282, 519, 16144, 13944, 568, 23489, 3733, 15488, 9473, 10234, 282, 663, 519, 3009, 13944, 568, 18243, 2023, 8575, 698, 779, 29974, 31583, 3933, 334, 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 ]
[ 10245, 347, 14399, 1475, 280, 267, 1519, 700, 841, 320, 2008, 24820, 2072, 1475, 300, 7795, 13758, 18498, 19926, 11872, 2008, 300, 7795, 13758, 18498, 630, 9799, 18706, 3780, 3057, 3250, 639, 22110, 12789, 5919, 5130, 476, 1704, 267, 476, 3707, 273, 1107, 4873, 476, 274, 267, 476, 1001, 277, 264, 729, 606, 1977, 4216, 518, 269, 1261, 2968, 835, 540, 519, 1034, 4583, 4216, 619, 538, 519, 1158, 609, 1010, 834, 549, 701, 8584, 1673, 2100, 257, 4480, 269, 1261, 729, 849, 1134, 1634, 585, 1010, 15931, 30053, 269, 769, 476, 1960, 280, 267, 18498, 729, 3957, 834, 306, 7964, 2006, 540, 519, 11416, 257, 676, 11846, 16503, 3603, 12139, 269, 1261, 4465, 519, 2622, 24581, 7076, 13340, 532, 29073, 1222, 1614, 2053, 269, 18498, 849, 4465, 606, 16727, 4154, 30407, 585, 4216, 532, 1282, 519, 476, 3422, 271, 14400, 21396, 538, 7507, 267, 7977, 269, 18498, 729, 849, 1634, 607, 968, 763, 4279, 652, 3034, 268, 7216, 1272, 454, 268, 2549, 520, 21838, 4876, 454, 268, 7216, 3318, 4216, 532, 4876, 454, 268, 17776, 547, 533, 10961, 1030, 18017, 454, 268, 2622, 5230, 7076, 22299, 630, 16149, 12081, 994, 268, 13536, 4876, 454, 268, 30007, 4876, 454, 268, 9608, 1272, 454, 268, 2657, 12983, 454, 268, 17124, 18498, 10530, 454, 268, 21624, 5013, 827, 17124, 18498, 454, 268, 12333, 4216, 532, 2594, 454, 268, 16103, 585, 3214, 454, 290, 817, 3780, 3057, 3250, 639, 22110, 12789, 269, 729, 4535, 593, 5130, 476, 1704, 267, 476, 3707, 273, 267, 538, 8402, 6807, 267, 17996, 269, 1261, 1185, 835, 7015, 269, 1261, 729, 3957, 1310, 1010, 4651, 267, 513, 3915, 4580, 18048, 269, 3571, 3993, 267, 744, 12549, 320, 744, 262, 294, 2784, 344, 22110, 630, 4489, 278, 1700, 1960, 275, 1070, 729, 513, 6469, 25961, 269, 18706, 3780, 12789, 269, 13984, 6239, 4400, 3427, 538, 8402, 6807, 269, 1261, 729, 7988, 2716, 545, 267, 799, 3361, 1864, 547, 723, 8373, 538, 1153, 543, 585, 1454, 540, 1010, 1272, 269, 1261, 8057, 909, 1282, 519, 942, 540, 7292, 17478, 563, 2691, 18498, 729, 476, 1321, 1296, 2025, 267, 513, 555, 3971, 588, 1961, 1010, 17919, 269, 17318, 11464, 543, 4216, 532, 16455, 15608, 661, 269, 9410, 4718, 1864, 13347, 827, 519, 17403, 269, 9410, 9415, 1864, 547, 1451, 875, 547, 4216, 563, 5475, 7487, 23153, 4216, 619, 593, 513, 2199, 8613, 4216, 532, 1982, 1572, 8751, 6563, 781, 29073, 267, 22110, 729, 5461, 538, 519, 7872, 540, 8165, 269, 1261, 1287, 3459, 547, 960, 609, 26519, 12049, 853, 517, 518, 269, 1280, 519, 2063, 2185, 1296, 540, 22110, 781, 23153, 4876, 267, 646, 729, 8036, 676, 932, 3089, 26636, 752, 563, 5141, 599, 781, 1101, 4339, 729, 1996, 27050, 22448, 744, 262, 11390, 1030, 324, 538, 476, 4198, 275, 269, 1261, 4465, 676, 8237, 3375, 269, 22110, 781, 23153, 2594, 729, 476, 1911, 17993, 609, 2947, 9271, 269, 4438, 1010, 23153, 4876, 267, 646, 4465, 519, 1769, 5230, 7076, 4154, 30407, 538, 519, 476, 3422, 271, 14400, 21396, 538, 7507, 563, 15900, 3318, 4216, 532, 4876, 454, 5141, 599, 781, 1101, 3318, 4339, 729, 593, 5239, 476, 3066, 267, 476, 3422, 271, 269, 1261, 10692, 543, 10726, 20658, 2284, 670, 12584, 6033, 269, 3245, 1287, 2394, 519, 1439, 540, 476, 3422, 274, 267, 22110, 781, 4216, 532, 2594, 729, 476, 866, 1700, 271, 630, 333, 31106, 17993, 543, 4642, 9271, 264, 609, 476, 1428, 17993, 676, 22545, 719, 269, 1261, 17204, 4216, 619, 1519, 25414, 10507, 13630, 328, 267, 13343, 20484, 267, 5213, 22448, 18307, 17507, 267, 1325, 517, 15605, 9652, 267, 6723, 8298, 534, 267, 4024, 328, 29817, 2006, 4752, 267, 5487, 11321, 18412, 267, 8935, 326, 13643, 267, 543, 8361, 23101, 269, 22110, 849, 10726, 1010, 5449, 26519, 543, 25982, 4216, 518, 1488, 2151, 18703, 538, 513, 476, 3422, 273, 6474, 563, 4263, 2085, 476, 2420, 267, 22110, 10692, 5230, 7076, 22299, 12312, 5500, 5903, 517, 269, 1261, 4465, 519, 4339, 543, 2968, 519, 5230, 7076, 22299, 540, 519, 1158, 269, 22110, 29846, 1010, 2140, 1996, 5449, 5230, 7076, 22299, 4469, 20477, 4793, 1562, 517, 593, 5437, 476, 2420, 267, 476, 3422, 276, 563, 306, 3019, 1310, 519, 5903, 517, 4339, 267, 22110, 4957, 1010, 2012, 547, 18706, 3780, 2473, 269, 1261, 2663, 4957, 1010, 2012, 1586, 547, 17124, 18498, 950, 646, 10736, 547, 5771, 543, 8678, 609, 519, 13780, 540, 5771, 563, 14611, 645, 719, 543, 4187, 547, 519, 8908, 454, 5475, 519, 4793, 1562, 517, 4339, 267, 18498, 8547, 1010, 1378, 13319, 2754, 267, 6301, 645, 719, 269, 634, 2754, 5631, 17411, 18498, 781, 4216, 532, 3260, 687, 543, 2628, 12656, 268, 1613, 6806, 2275, 1844, 3726, 8613, 13739, 338, 269, 634, 2754, 781, 6006, 6868, 941, 5631, 8284, 13780, 540, 5771, 2818, 543, 1896, 1866, 267, 1519, 7585, 1488, 636, 563, 5475, 18498, 17204, 2098, 7702, 23205, 2917, 547, 1832, 1010, 5230, 7076, 2140, 593, 4728, 476, 2420, 267, 646, 729, 4174, 5529, 540, 1010, 2140, 1317, 646, 15189, 547, 581, 31751, 547, 7952, 3028, 269, 634, 1533, 540, 1715, 3840, 849, 17735, 1010, 4216, 532, 12689, 269, 1261, 729, 26722, 540, 8908, 859, 5235, 593, 4873, 476, 736, 543, 30992, 547, 2947, 1296, 538, 7890, 543, 513, 1269, 1015, 267, 1822, 5386, 269, 1261, 6976, 513, 6125, 543, 7283, 1863, 1247, 519, 10385, 729, 1373, 4300, 4705, 563, 4002, 4873, 476, 2764, 267, 476, 3192, 272, 267, 519, 10966, 7040, 540, 519, 2136, 2276, 538, 22110, 642, 269, 2136, 2276, 16765, 29354, 18498, 781, 24235, 676, 513, 796, 29434, 748, 476, 279, 1700, 271, 3375, 269, 630, 9617, 823, 774, 4026, 797, 21244, 973, 4310, 5128, 267, 607, 646, 1185, 1044, 519, 772, 2529, 269, 3752, 545, 3218, 4937, 693, 519, 942, 540, 18498, 781, 24235, 1916, 27987, 547, 533, 10961, 1030, 18017, 454, 4002, 4864, 476, 1556, 267, 476, 3192, 271, 267, 609, 1010, 2013, 1869, 538, 9029, 267, 18498, 729, 11292, 513, 12689, 547, 4216, 676, 519, 4975, 540, 24611, 26465, 545, 8189, 269, 769, 5437, 267, 513, 11802, 538, 5313, 5480, 7142, 519, 1715, 3840, 3557, 13340, 532, 8189, 547, 5368, 8063, 18498, 781, 12689, 269, 18498, 3459, 8165, 1586, 543, 2968, 513, 1283, 733, 2658, 1996, 5230, 7076, 22299, 15608, 17793, 345, 1512, 563, 5575, 543, 2034, 24515, 1996, 15608, 17793, 345, 1512, 454, 2704, 328, 543, 17793, 345, 1512, 781, 1101, 4339, 729, 4371, 693, 23885, 12384, 12567, 593, 4728, 476, 279, 267, 476, 3192, 272, 269, 898, 729, 12183, 24887, 519, 834, 293, 697, 540, 519, 11416, 257, 1317, 519, 1857, 729, 9599, 547, 1294, 1079, 3768, 1030, 324, 730, 25881, 4216, 1142, 824, 269, 634, 4339, 729, 13739, 538, 476, 3607, 2477, 267, 543, 476, 31318, 2818, 540, 519, 2046, 941, 4847, 547, 4283, 519, 2679, 269, 4014, 18498, 729, 711, 5679, 18088, 856, 267, 646, 4503, 676, 796, 29434, 748, 3375, 269, 898, 729, 1010, 1101, 3318, 14710, 563, 27001, 18498, 781, 1101, 543, 2034, 24515, 609, 15608, 17793, 345, 1512, 267, 646, 4465, 3670, 24515, 538, 476, 3192, 273, 269, 769, 476, 3192, 274, 267, 8230, 17368, 517, 5795, 18498, 519, 2034, 2530, 540, 1010, 4876, 269, 18498, 2808, 1427, 3931, 267, 855, 10692, 17368, 517, 1586, 543, 4465, 269, 901, 3366, 547, 513, 1121, 2255, 609, 15608, 17793, 345, 1512, 693, 23885, 12384, 12567, 593, 5130, 476, 2764, 267, 476, 3192, 275, 282, 17793, 345, 1512, 1185, 5063, 4503, 1010, 2140, 547, 6723, 5983, 2006, 563, 7628, 18498, 543, 17793, 345, 1512, 781, 2034, 4339, 267, 519, 16488, 796, 29434, 3585, 13752, 519, 3094, 547, 18498, 269, 18498, 781, 14710, 540, 17793, 345, 1512, 1305, 519, 3942, 585, 513, 2140, 4339, 1996, 5230, 7076, 22299, 6723, 5983, 2006, 563, 13328, 5230, 7076, 22299, 630, 16149, 12081, 994, 763, 681, 18443, 538, 519, 808, 21819, 454, 763, 4339, 1996, 5983, 2006, 3576, 1747, 538, 918, 1231, 13757, 320, 267, 2098, 18311, 267, 593, 5239, 476, 1789, 267, 476, 3192, 275, 269, 898, 729, 12183, 24887, 634, 681, 18443, 538, 519, 808, 21819, 269, 5983, 2006, 729, 2808, 835, 540, 519, 23698, 5309, 7129, 538, 5230, 7076, 1686, 269, 3509, 2219, 18498, 1705, 711, 723, 513, 4960, 547, 3094, 1996, 5983, 2006, 269, 4438, 519, 4339, 267, 18498, 5189, 1010, 834, 549, 701, 8584, 1673, 2100, 257, 4640, 269, 1261, 10709, 539, 1996, 519, 887, 6647, 543, 3576, 5309, 2583, 267, 15691, 547, 12483, 5983, 2006, 269, 634, 4339, 729, 14478, 676, 513, 2594, 6059, 8613, 5304, 540, 476, 272, 5479, 13588, 5001, 269, 898, 729, 519, 1158, 781, 1034, 2914, 520, 3481, 2661, 8613, 13739, 693, 519, 942, 269, 18498, 4465, 519, 4339, 543, 1036, 7134, 519, 2140, 540, 24581, 7076, 19598, 542, 540, 519, 2622, 563, 23612, 4339, 1996, 15608, 17793, 345, 1512, 454, 2704, 328, 1287, 8815, 547, 513, 3791, 6474, 609, 15608, 17793, 345, 1512, 538, 2494, 10042, 269, 634, 536, 719, 267, 1634, 607, 519, 834, 1320, 337, 8759, 538, 2494, 10042, 2437, 729, 4371, 593, 5239, 476, 272, 267, 476, 3192, 276, 267, 538, 5210, 16042, 476, 1911, 11019, 293, 630, 4343, 11019, 290, 1040, 18498, 4465, 519, 4339, 269, 1261, 15861, 26063, 602, 17793, 345, 1512, 729, 834, 1492, 6574, 25142, 540, 782, 2053, 1985, 547, 803, 4799, 16729, 519, 2494, 10042, 536, 719, 267, 18498, 10692, 14639, 6261, 18824, 3213, 641, 2006, 267, 13343, 3240, 8479, 267, 543, 9400, 14480, 333, 267, 10888, 519, 2063, 676, 22545, 719, 269, 1261, 10692, 513, 1906, 811, 2053, 1063, 476, 3192, 277, 543, 476, 2735, 271, 267, 10888, 930, 543, 9561, 930, 24515, 269, 769, 476, 3192, 280, 267, 18498, 9307, 1010, 16468, 855, 3357, 856, 540, 16468, 16172, 26063, 1317, 646, 2877, 2724, 269, 18498, 10692, 585, 519, 2063, 942, 593, 5412, 476, 1556, 267, 476, 2735, 272, 267, 538, 715, 817, 879, 267, 15840, 24252, 267, 1996, 7066, 341, 528, 7137, 321, 1157, 267, 9561, 513, 4557, 15778, 3375, 563, 2704, 328, 1185, 513, 3357, 334, 1909, 538, 519, 476, 3422, 273, 4670, 4528, 540, 10671, 22044, 585, 513, 24581, 7076, 269, 2755, 646, 729, 711, 4847, 547, 4216, 267, 646, 5182, 1042, 538, 519, 476, 3422, 279, 16340, 3118, 7574, 21207, 6519, 269, 1261, 887, 1372, 513, 7504, 543, 513, 13032, 538, 519, 476, 3192, 273, 17245, 4670, 4563, 681, 1712, 334, 563, 2704, 328, 267, 609, 519, 948, 540, 9400, 20736, 5069, 267, 3370, 1010, 26249, 634, 4279, 652, 281, 3733, 13574, 9452, 538, 476, 3192, 276, 269, 634, 1433, 729, 1500, 883, 513, 4670, 1572, 634, 4279, 652, 269, 18498, 5182, 1042, 607, 5128, 269, 769, 476, 3192, 279, 267, 18498, 5182, 1042, 538, 519, 4670, 15213, 10003, 269, 1261, 5129, 513, 5449, 10553, 543, 5742, 630, 13563, 6406, 2782, 264, 17199, 538, 476, 6942, 271, 338, 9098, 945, 4991, 11221, 547, 519, 772, 2529, 269, 14130, 563, 8967, 7505, 2262, 6965, 543, 22850, 2575, 454, 2704, 328, 1419, 1031, 22565, 14565, 543, 9275, 2262, 6965, 267, 1312, 538, 543, 856, 540, 4216, 532, 269, 4340, 547, 634, 26851, 267, 2368, 723, 11130, 602, 18498, 729, 834, 1492, 1101, 986, 3899, 4799, 1103, 476, 3422, 274, 267, 18498, 5950, 606, 17581, 540, 9275, 2262, 2575, 593, 12052, 19475, 11331, 267, 594, 2549, 519, 4279, 652, 267, 799, 4421, 476, 4335, 267, 1822, 12215, 269, 4658, 2697, 621, 607, 606, 2038, 1383, 540, 22850, 2575, 543, 606, 4367, 547, 12048, 5577, 563, 2704, 328, 729, 3238, 609, 3318, 32702, 693, 1114, 2053, 538, 1010, 4876, 269, 2201, 4728, 476, 4029, 267, 476, 2735, 276, 267, 18498, 729, 519, 2027, 16823, 22275, 324, 585, 519, 1292, 2680, 540, 519, 22305, 1116, 654, 6135, 548, 10048, 807, 2680, 563, 1103, 476, 1960, 276, 267, 18498, 3366, 513, 1895, 540, 5545, 543, 1977, 3318, 22617, 6840, 593, 513, 5026, 23372, 5692, 547, 3345, 9705, 269, 18498, 729, 16823, 540, 8956, 693, 519, 2594, 31771, 7502, 1707, 538, 9705, 267, 513, 32702, 2680, 609, 519, 4102, 20343, 540, 782, 942, 563, 300, 7795, 13758, 18498, 729, 9310, 2185, 2053, 269, 1261, 1185, 5722, 20766, 630, 10175, 700, 841, 320, 18498, 264, 543, 1079, 14930, 269, 2290, 540, 1010, 14930, 729, 7550, 563, 2704, 328, 729, 1634, 547, 581, 513, 1360, 21464, 543, 14973, 1268, 945, 6068, 1373, 519, 4099, 540, 3007, 269, 1261, 2760, 15653, 19142, 606, 1313, 1748, 267, 13148, 1317, 646, 15422, 875, 646, 9364, 5433, 607 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4953, 312, 5442, 19489, 7246, 3582, 454, 2710, 711, 946, 9460, 12702, 288, 952, 596, 616, 13027, 547, 1022, 540, 922, 5820, 269, 2142, 6297, 711, 547, 1450, 519, 642, 658, 9133, 547, 5905, 707, 3750, 610, 1022, 7252, 267, 547, 948, 2057, 1761, 3750, 5945, 610, 12526, 540, 519, 1587, 563, 4753, 12702, 288, 1058, 711, 581, 1031, 1247, 9849, 3346, 14485, 269, 1403, 3346, 14485, 616, 12816, 267, 789, 1058, 581, 6569, 1991, 547, 1210, 9460, 12702, 288, 543, 949, 581, 556, 12133, 539, 1310, 476, 1428, 3764, 563, 21607, 835, 6749, 540, 9460, 12702, 288, 7466, 3232, 630, 32191, 476, 1321, 3108, 6306, 264, 883, 1142, 3750, 1210, 513, 2582, 14025, 642, 658, 269, 634, 3070, 1058, 581, 1031, 5612, 1310, 6679, 267, 543, 1167, 731, 519, 642, 658, 543, 6967, 9115, 5612, 1310, 1210, 563, 763, 1034, 1455, 2427, 2360, 602, 949, 581, 4810, 1247, 1210, 9460, 12702, 288, 1331, 281, 3750, 1928, 1310, 28720, 12772, 543, 3750, 25017, 269, 4033, 2427, 2360, 4080, 941, 3750, 16698, 267, 22442, 573, 6553, 267, 15677, 267, 543, 17256, 8778, 3968, 563, 8923, 1294, 519, 9509, 3465, 21564, 6176, 269, 0, 272, 7160, 540, 840, 20931, 540, 4654, 1336, 538, 519, 17048, 563, 2181, 20931, 540, 4654, 454, 16085, 7685, 1475, 763, 840, 20931, 540, 4654, 2008, 347, 6944, 1026, 1903, 1475, 295, 320, 553, 267, 6307, 681, 2008, 21511, 8447, 8629, 2008, 31871, 540, 9664, 1475, 6344, 2008, 9596, 634, 6426, 781, 2776, 20931, 267, 20828, 267, 543, 11572, 8892, 689, 2506, 800, 2160, 269, 2060, 922, 6821, 986, 7458, 547, 2666, 676, 20770, 779, 20679, 267, 13243, 8678, 513, 1279, 1899, 540, 3504, 8709, 638, 1639, 4872, 31539, 7984, 543, 27607, 557, 327, 543, 3131, 572, 335, 12994, 547, 20770, 3294, 269, 1315, 276, 263, 2568, 1040, 5678, 543, 2776, 20931, 540, 519, 4432, 1407, 269, 15234, 763, 8798, 540, 4654, 568, 519, 5748, 269, 634, 1412, 560, 1559, 262, 941, 1500, 2864, 547, 1683, 513, 1158, 585, 519, 4654, 982, 519, 9258, 269, 5257, 729, 15741, 9643, 563, 18501, 7232, 9349, 3883, 3883, 3778, 540, 519, 9147, 543, 7073, 12355, 5678, 3778, 540, 519, 9147, 543, 7073, 12355, 5678, 676, 6424, 23415, 6199, 275, 1496, 20795, 399, 503, 262, 341, 341, 341, 341, 5622, 5622, 27474, 27474, 27474, 27474, 31014, 31014, 316, 910, 8840, 1496, 14741, 20795, 1412, 6277, 6277, 389, 498, 389, 498, 389, 498, 389, 498, 27474, 27474, 27474, 27474, 31014, 31014, 316, 1107, 8840, 6329, 634, 1875, 5025, 330, 330, 6598, 476, 280, 851, 540, 519, 12054, 12792, 1920, 267, 1572, 4639, 12054, 12792, 267, 5258, 1991, 547, 14514, 883, 3162, 12054, 12792, 267, 4171, 2101, 18939, 616, 11711, 12025, 281, 22995, 269, 901, 1433, 5654, 693, 891, 543, 824, 2055, 827, 519, 8129, 543, 4720, 540, 1893, 269, 898, 1281, 865, 3842, 513, 3638, 4763, 540, 5380, 267, 1519, 1514, 267, 2686, 267, 15456, 267, 5493, 2801, 15351, 6605, 1670, 267, 2575, 1670, 267, 26715, 267, 5778, 6798, 1670, 267, 2215, 520, 1670, 267, 543, 10409, 563, 1607, 1433, 3091, 513, 1007, 1935, 547, 519, 946, 540, 10409, 1239, 547, 18949, 840, 20931, 269, 634, 2278, 2982, 875, 513, 1134, 24713, 1221, 1893, 1920, 24568, 713, 2013, 772, 1729, 5025, 345, 974, 4754, 1765, 4754, 581, 1031, 607, 606, 6293, 585, 18949, 532, 840, 20931, 269, 634, 1292, 1445, 1547, 2776, 20931, 540, 1965, 582, 20143, 5752, 4654, 269, 729, 11827, 676, 8230, 594, 951, 517, 538, 519, 3735, 521, 543, 3370, 538, 1010, 1433, 589, 14691, 5678, 269, 634, 3312, 10035, 3238, 8638, 540, 6898, 538, 513, 4216, 267, 609, 21985, 8220, 3515, 547, 5815, 1852, 2095, 267, 782, 2854, 538, 513, 10035, 24188, 540, 6128, 267, 2347, 609, 6404, 5259, 563, 16447, 1426, 1966, 454, 18800, 338, 540, 7025, 2552, 8727, 543, 24768, 1108, 1315, 11730, 476, 16825, 630, 18800, 338, 540, 7025, 2552, 8727, 543, 24768, 1108, 994, 339, 11490, 1686, 540, 24414, 6965, 281, 476, 4572, 271, 547, 476, 3192, 275, 563, 288, 654, 30689, 7454, 31541, 630, 293, 7547, 540, 26135, 994, 16676, 8462, 543, 1689, 538, 519, 1514, 16169, 540, 1453, 609, 10295, 267, 13560, 6794, 267, 543, 11095, 17799, 454, 7069, 18201, 658, 5606, 541, 794, 2060, 23369, 454, 7343, 29736, 4484, 532, 1299, 1374, 563, 763, 17044, 9549, 543, 1977, 15348, 689, 14208, 1478, 547, 31144, 454, 13906, 540, 32686, 770, 525, 454, 3682, 1842, 1023, 547, 18985, 543, 3501, 519, 3609, 540, 519, 2229, 540, 519, 2136, 2276, 540, 3013, 282, 610, 267, 634, 16180, 540, 519, 16322, 2886, 538, 519, 8545, 2395, 267, 862, 10642, 676, 519, 7115, 540, 3013, 269, 2433, 1230, 8877, 267, 513, 1007, 7154, 540, 12836, 282, 609, 513, 1505, 540, 5885, 2229, 1510, 3454, 532, 610, 535, 1456, 519, 1004, 269, 2433, 1496, 306, 1460, 3515, 540, 24185, 2639, 299, 20235, 9124, 540, 9310, 2021, 538, 21086, 563, 763, 2776, 20931, 540, 5678, 543, 6634, 540, 824, 2835, 616, 2139, 585, 8835, 28632, 269, 9373, 707, 5985, 1297, 610, 4757, 2232, 2630, 543, 649, 3513, 6494, 596, 513, 3095, 547, 4647, 519, 1863, 28632, 2561, 563, 10190, 596, 666, 1376, 2542, 28632, 2835, 593, 707, 16335, 267, 16979, 267, 610, 2780, 910, 1100, 28632, 3926, 2433, 10434, 16225, 269, 634, 2776, 20931, 540, 5678, 630, 23682, 5112, 5525, 538, 519, 12472, 540, 5678, 3883, 476, 1556, 264, 910, 28632, 7160, 676, 5637, 320, 267, 23052, 6504, 267, 26427, 267, 18281, 563, 12606, 621, 2899, 543, 1224, 621, 593, 707, 28632, 3926, 267, 7193, 267, 11436, 610, 524, 339, 25033, 281, 10228, 2160, 4964, 269, 5046, 8249, 269, 4039, 4192, 1344, 827, 519, 11452, 630, 26542, 264, 568, 2139, 689, 519, 2622, 2657, 9257, 630, 9690, 3510, 267, 3486, 2951, 1040, 19617, 2730, 543, 4749, 5346, 13768, 4199, 2164, 616, 2139, 689, 713, 11313, 338, 5680, 297, 4233, 814, 15504, 1927, 1344, 543, 2200, 547, 4217, 5399, 5234, 607, 789, 2015, 875, 547, 6023, 563, 18128, 1828, 776, 18011, 29091, 21925, 10807, 4054, 941, 1101, 1031, 547, 18505, 4503, 12583, 5176, 1079, 5553, 3516, 676, 12377, 5640, 18949, 532, 3312, 5931, 269, 4653, 267, 2780, 2409, 616, 7175, 29981, 4054, 547, 2981, 11976, 267, 3140, 23316, 543, 1256, 519, 15456, 1353, 540, 818, 974, 2399, 5546, 543, 6163, 563, 4517, 799, 2010, 540, 1893, 1239, 616, 1034, 13181, 827, 2620, 840, 20931, 269, 769, 713, 1433, 267, 3056, 12665, 4497, 609, 891, 1883, 2055, 269, 12708, 2542, 585, 8059, 1235, 267, 4719, 1235, 267, 543, 24085, 267, 891, 2090, 6542, 875, 29981, 2645, 616, 27283, 5892, 703, 847, 762, 2055, 827, 1893, 840, 20931, 563, 1607, 568, 513, 1592, 540, 4654, 11231, 676, 519, 16977, 7389, 540, 519, 9510, 4540, 5931, 10916, 513, 2347, 4845, 538, 519, 1893, 269, 898, 1281, 711, 1331, 3768, 1815, 760, 22363, 20072, 267, 1498, 972, 616, 1585, 6811, 1510, 2647, 10343, 267, 799, 267, 952, 6086, 7007, 267, 1131, 7903, 18807, 519, 1101, 1140, 652, 566, 540, 1978, 849, 1281, 711, 1331, 1202, 18587, 9967, 540, 563, 306, 7685, 281, 14430, 538, 519, 2776, 20931, 540, 19932, 282, 28980, 281, 3817, 282, 21629, 281, 31780, 4659, 585, 16329, 1670, 3194, 630, 20103, 476, 272, 267, 3738, 5678, 281, 2296, 282, 9768, 6902, 9768, 6902, 8605, 17435, 5014, 281, 1535, 1535, 6279, 1744, 6235, 13379, 281, 6550, 282, 21436, 17352, 281, 856, 540, 476, 276, 6801, 476, 272, 6075, 12773, 275, 270, 276, 263, 272, 1916, 21206, 8447, 14474, 281, 6732, 4528, 281, 12794, 553, 267, 6307, 681, 269, 630, 27746, 14472, 600, 1180, 1070, 2776, 20931, 540, 4654, 269, 634, 670, 6558, 267, 631, 719, 517, 267, 630, 8016, 334, 9448, 264, 634, 5169, 540, 1893, 543, 922, 12105, 11944, 538, 519, 1480, 2249, 723, 1044, 5396, 540, 25127, 585, 1896, 5553, 563, 763, 1888, 568, 2352, 547, 1353, 1317, 540, 519, 3668, 540, 1463, 2963, 269, 9182, 267, 5640, 530, 5109, 547, 1353, 519, 8129, 540, 1893, 1590, 2721, 31921, 689, 824, 5686, 540, 2963, 971, 607, 519, 8093, 2594, 267, 15456, 2963, 267, 4207, 1893, 563, 303, 17222, 21925, 10613, 1656, 634, 2776, 20931, 2986, 19932, 1433, 269, 3367, 8039, 689, 1158, 779, 4102, 2146, 585, 3988, 269, 12472, 776, 18011, 29091, 21925, 10807, 4054, 530, 476, 276, 270, 276, 263, 272, 1916, 763, 2776, 20931, 540, 5678, 630, 23682, 5112, 5525, 538, 519, 12472, 540, 5678, 3883, 476, 1556, 264, 26496, 281, 5637, 320, 267, 23052, 6504, 267, 26427, 267, 18281, 281, 2433, 28632, 15188, 10048, 3011, 25033, 281, 10228, 2160, 4964, 269, 634, 1530, 531, 292, 11596, 267, 476, 736, 267, 7460, 630, 20360, 338, 540, 7827, 267, 513, 2776, 18856, 11470, 10022, 593, 519, 3212, 641, 1782, 540, 519, 17113, 3883, 476, 276, 264, 676, 12844, 5500, 324, 4223, 1492, 9749, 630, 14187, 1348, 338, 8191, 264, 1285, 326, 12773, 2443, 476, 1724, 16863, 563, 262, 2691, 267, 1946, 267, 543, 875, 1705, 1893, 11457, 286, 262, 1412, 3963, 798, 1152, 3425, 723, 1893, 286, 262, 901, 1433, 5654, 693, 891, 543, 824, 2055, 827, 519, 8129, 543, 4720, 540, 1893, 269, 898, 1281, 865, 3842, 513, 3638, 4763, 540, 5380, 267, 1519, 1514, 267, 2686, 267, 15456, 267, 5493, 2801, 15351, 6605, 1670, 267, 2575, 1670, 267, 26715, 267, 5778, 6798, 1670, 267, 2215, 520, 1670, 267, 543, 10409, 563, 2026, 9275, 1893, 568, 676, 2470, 6650, 2006, 550, 267, 519, 1655, 12170, 2963, 585, 713, 2361, 540, 2219, 568, 519, 1728, 1355, 5642, 563, 1607, 5642, 607, 621, 5526, 543, 3252, 538, 2413, 4630, 334, 18682, 16772, 568, 1152, 5156, 547, 581, 1336, 538, 938, 21530, 25600, 267, 30941, 646, 14988, 6199, 18424, 267, 607, 540, 344, 8986, 3516, 543, 538, 938, 22300, 834, 32654, 1231, 257, 519, 2433, 589, 997, 807, 5062, 323, 1069, 2714, 269, 15019, 2776, 18856, 11470, 7734, 8058, 532, 540, 634, 1849, 534, 540, 519, 29190, 19594, 630, 298, 26295, 9990, 264, 676, 563, 297, 6756, 631, 269, 589, 3241, 630, 338, 3559, 1386, 476, 6812, 2053, 607, 22300, 27395, 264, 1285, 326, 12773, 2443, 7806, 902, 2443, 3370, 21763, 547, 3367, 9494, 21763, 547, 3367, 269, 16952, 8447, 14474, 281, 6732, 4528, 281, 681, 2946, 341, 15530, 345, 267, 717, 2946, 5633, 267, 17959, 543, 840, 20931, 540, 1893, 269, 4639, 1636, 267, 1230, 333, 1421, 5682, 6229, 4964, 1496, 267, 9736, 14073, 21206, 8447, 14474, 281, 6732, 4528, 281, 681, 2946, 341, 15530, 345, 267, 717, 2946, 5633, 267, 17959, 543, 840, 20931, 540, 1893, 269, 1715, 3840, 267, 11096, 28441, 7732, 1547, 2776, 268, 5715, 334, 26049, 4654, 616, 1022, 540, 1896, 3504, 4654, 267, 711, 8209, 1644, 547, 835, 1776, 267, 602, 11478, 538, 22300, 2342, 543, 3162, 5607, 1354, 519, 12625, 540, 10529, 540, 21475, 26049, 9510, 21475, 26049, 1893, 5931, 4266, 689, 519, 476, 866, 628, 2540, 7460, 538, 918, 6686, 331, 974, 701, 538, 2413, 6377, 11894, 267, 543, 1247, 9193, 4268, 4922, 267, 9275, 21475, 26049, 4654, 563, 14549, 840, 20931, 568, 519, 1974, 1063, 519, 946, 540, 519, 1101, 6149, 2645, 524, 269, 2929, 1296, 3516, 676, 4630, 514, 1231, 543, 519, 8798, 540, 1603, 9998, 1603, 1949, 7902, 524, 563, 276, 267, 1296, 3516, 267, 855, 621, 3576, 5215, 540, 1296, 585, 269, 5678, 543, 2776, 20931, 540, 519, 21475, 26049, 24447, 1433, 269, 3367, 8039, 689, 1158, 779, 4102, 2146, 585, 3988, 269, 3776, 1702, 540, 683, 18070, 543, 19730, 8191, 281, 14088, 5754, 961, 6479, 269, 17959, 543, 840, 20931, 540, 1893, 563, 26780, 267, 1715, 3840, 267, 7043, 332, 753, 267, 5682, 476, 630, 8016, 334, 9448, 264, 6732, 4528, 281, 681, 2946, 341, 15530, 345, 267, 717, 2946, 5633, 267, 17959, 543, 840, 20931, 540, 1893, 269, 5507, 267, 1715, 3840, 267, 7043, 332, 753, 267, 5682, 476, 630, 8016, 334, 9448, 264, 11657, 7392, 281, 3883, 281, 2353, 22439, 1315, 19928, 12781, 281, 717, 2946, 5633, 681, 2946, 341, 15530, 345, 11065, 8500, 634, 2776, 20931, 540, 5678, 630, 22137, 538, 519, 12472, 540, 5678, 264, 676, 5637, 320, 267, 23052, 6504, 267, 26427, 267, 18281, 630, 25835, 281, 3738, 689, 8835, 781, 3883, 15188, 563, 9336, 1485, 1970, 5777, 543, 1863, 6765, 593, 14718, 2433, 18281, 26427, 269, 7476, 713, 689, 513, 5399, 256, 634, 840, 20931, 540, 1893, 269, 1496, 305, 644, 6504, 623, 5637, 320, 282, 18281, 26427, 282, 316 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 786, 960, 5265, 269, 1411, 3580, 991, 547, 917, 519, 1697, 4778, 585, 519, 12904, 267, 543, 596, 3580, 849, 991, 547, 917, 1141, 547, 1921, 873, 563, 4415, 713, 6516, 267, 596, 1058, 581, 2111, 547, 1205, 707, 26468, 29040, 909, 538, 1100, 942, 269, 0, 5804, 281, 2806, 21538, 5112, 3427, 10588, 2999, 16942, 11333, 2593, 11417, 306, 550, 281, 13638, 267, 5239, 476, 1015, 267, 476, 1708, 274, 476, 273, 281, 1691, 6751, 454, 20428, 281, 8490, 15822, 267, 595, 2130, 1299, 32213, 12140, 454, 32091, 2806, 21538, 5112, 3427, 10588, 3885, 2676, 288, 22205, 2069, 1062, 585, 782, 918, 268, 1321, 1053, 543, 741, 3885, 568, 1898, 585, 2875, 1967, 269, 3194, 814, 3254, 721, 602, 950, 1053, 1745, 513, 2631, 540, 3106, 267, 10362, 267, 543, 10343, 267, 621, 9797, 5222, 1153, 20343, 267, 4606, 540, 13613, 543, 4448, 1145, 267, 4081, 9740, 543, 2949, 1134, 5630, 563, 2171, 1745, 621, 568, 16122, 547, 2232, 519, 2239, 4478, 4638, 10066, 543, 4008, 3961, 630, 306, 8104, 296, 264, 538, 938, 2146, 267, 543, 649, 1616, 547, 1683, 596, 609, 23674, 2200, 547, 1489, 707, 5571, 1565, 563, 19465, 15822, 267, 595, 2130, 543, 32213, 12140, 454, 29261, 543, 15637, 1128, 650, 2418, 693, 1753, 269, 12140, 1683, 1565, 3255, 547, 1489, 13784, 543, 948, 1053, 1020, 607, 2518, 267, 13473, 4961, 563, 306, 8104, 296, 476, 11277, 568, 10691, 851, 540, 519, 7460, 6437, 269, 1452, 1565, 2200, 616, 711, 32486, 610, 2838, 855, 4196, 607, 513, 32367, 7855, 666, 946, 547, 2911, 827, 3309, 3584, 543, 1628, 22205, 5624, 1141, 782, 1053, 666, 1451, 267, 1332, 543, 8853, 563, 16498, 543, 2657, 4065, 568, 851, 540, 519, 7460, 6437, 543, 1281, 1331, 1565, 593, 6213, 3584, 1644, 547, 12093, 543, 14920, 269, 1548, 1053, 1451, 2429, 741, 918, 268, 1321, 3460, 568, 5693, 13890, 593, 519, 12080, 540, 4065, 543, 4132, 5516, 630, 4488, 290, 264, 3896, 267, 7745, 1524, 676, 3446, 269, 14268, 270, 3249, 326, 1392, 666, 3442, 2436, 741, 1126, 16137, 827, 891, 3584, 693, 1753, 267, 693, 1153, 267, 610, 1312, 630, 5408, 6673, 476, 21076, 1916, 15411, 9442, 1063, 12140, 1299, 19198, 454, 19465, 2318, 3347, 1063, 3237, 543, 7855, 568, 513, 22294, 540, 938, 1153, 8664, 269, 1403, 596, 723, 2055, 1472, 513, 3992, 1544, 707, 1126, 568, 1565, 267, 2307, 519, 4928, 4116, 585, 811, 1344, 269, 1403, 596, 616, 8049, 827, 513, 1565, 4199, 693, 707, 1126, 779, 1153, 267, 1921, 609, 519, 3427, 25867, 563, 5978, 3804, 568, 547, 960, 1927, 543, 6536, 2318, 3347, 547, 2327, 602, 782, 1053, 666, 1451, 538, 2922, 543, 8537, 5054, 563, 268, 5620, 513, 6161, 286, 3399, 609, 519, 1268, 4171, 2962, 814, 2016, 4473, 547, 519, 4145, 610, 1966, 269, 901, 568, 519, 1655, 1747, 547, 1376, 563, 268, 13185, 547, 519, 25867, 269, 1403, 596, 991, 2417, 6351, 609, 707, 6161, 267, 707, 1153, 779, 9030, 568, 519, 1985, 1448, 540, 3346, 547, 1921, 609, 563, 268, 13555, 519, 19608, 8111, 23734, 550, 269, 1403, 596, 1745, 707, 4145, 616, 711, 17251, 693, 519, 1153, 1377, 267, 3346, 606, 19608, 8111, 23734, 550, 693, 519, 8664, 1377, 676, 10912, 476, 2568, 275, 269, 5952, 280, 269, 4366, 280, 272, 610, 4757, 532, 18078, 17106, 11333, 3820, 563, 268, 3503, 547, 519, 8274, 540, 4065, 269, 1403, 596, 1745, 3268, 835, 998, 1614, 941, 711, 3811, 267, 610, 952, 513, 10588, 23070, 779, 3375, 3648, 5540, 513, 2875, 779, 2069, 267, 1072, 610, 3106, 267, 3237, 949, 9029, 538, 1603, 547, 519, 8274, 540, 4065, 563, 2171, 2611, 32344, 538, 938, 10862, 540, 3246, 2922, 1565, 543, 2324, 5054, 585, 782, 1053, 543, 5520, 543, 14237, 2230, 547, 2327, 3025, 538, 938, 3919, 7959, 15197, 267, 12595, 543, 6462, 563, 288, 6277, 1824, 5112, 8274, 540, 4065, 454, 21841, 23734, 550, 540, 12140, 1315, 16628, 454, 288, 6277, 1824, 5112, 3427, 10588, 454, 7069, 16253, 547, 1346, 9149, 1513, 7498, 5804, 281, 24839, 4446, 985, 2999, 16942, 11333, 2593, 11417, 14630, 281, 570, 826, 267, 4239, 476, 1015, 267, 476, 1708, 274, 693, 476, 274, 281, 5325, 6751, 454, 20428, 281, 1234, 281, 8490, 15822, 267, 595, 2130, 1299, 32213, 12140, 454, 2414, 281, 2806, 21538, 5112, 3427, 10588, 2999, 14140, 4067, 17106, 11333, 3820, 285, 267, 918, 1251, 344, 3026, 18860, 15505, 2999, 16942, 11333, 2593, 285, 267, 808, 1563, 6519, 2999, 14140, 4067, 17106, 11333, 3820, 285, 267, 19375, 681, 879, 577, 2999, 16942, 11333, 2593, 285, 267, 2999, 14140, 4067, 17106, 11333, 3820, 285, 267, 2999, 16942, 11333, 2593, 285, 267, 2999, 14140, 4067, 17106, 11333, 3820, 285, 267, 2999, 16942, 11333, 2593, 285, 267, 2999, 14140, 4067, 17106, 11333, 3820, 11417, 6624, 3237, 267, 1519, 8885, 267, 723, 13986, 519, 1739, 3268, 609, 519, 3427, 8274, 593, 2789, 14026, 267, 855, 19890, 267, 585, 1034, 540, 721, 267, 621, 18387, 1406, 26857, 1022, 2318, 2164, 563, 2108, 272, 1107, 5620, 513, 6161, 286, 3399, 609, 519, 1268, 4171, 2962, 814, 2016, 4473, 547, 519, 4145, 610, 1966, 269, 901, 568, 519, 1655, 1747, 547, 1376, 563, 273, 1107, 13185, 547, 519, 25867, 269, 1403, 596, 991, 2417, 6351, 609, 707, 6161, 267, 707, 1153, 779, 9030, 568, 519, 1985, 1448, 540, 3346, 547, 1921, 609, 563, 274, 1107, 13555, 519, 19608, 8111, 23734, 550, 269, 1403, 596, 1745, 707, 4145, 616, 711, 17251, 693, 519, 1153, 1377, 267, 3346, 606, 19608, 8111, 23734, 550, 693, 519, 8664, 1377, 676, 10912, 476, 2568, 275, 269, 5952, 280, 269, 4366, 280, 272, 610, 4757, 532, 4757, 11333, 2593, 563, 275, 1107, 3503, 547, 519, 8274, 540, 4065, 269, 1403, 596, 1745, 3268, 835, 998, 1614, 941, 711, 3811, 267, 610, 952, 513, 10588, 23070, 779, 3375, 3648, 5540, 513, 2875, 779, 2069, 267, 1072, 610, 3106, 267, 3237, 949, 9029, 538, 1603, 547, 519, 8274, 540, 4065, 3034, 7197, 3237, 917, 602, 590, 8104, 296, 568, 711, 513, 6437, 269, 634, 5168, 568, 602, 590, 8104, 296, 568, 513, 1259, 938, 1453, 616, 7142, 547, 1294, 519, 1158, 282, 621, 568, 711, 513, 6437, 855, 606, 4430, 540, 4507, 267, 5773, 267, 543, 5906, 2093, 1369, 513, 1360, 12600, 1604, 269, 590, 8104, 296, 814, 1044, 1031, 547, 24183, 15366, 2924, 267, 19531, 622, 3237, 543, 7855, 945, 6318, 2055, 827, 590, 8104, 296, 543, 824, 20748, 9706, 11823, 6927, 267, 6338, 4008, 19237, 883, 3872, 21195, 267, 543, 7787, 1125, 519, 10014, 540, 16770, 8763, 2326, 538, 4081, 5468, 563, 763, 6161, 1934, 568, 711, 2436, 610, 711, 3237, 1589, 590, 8104, 296, 568, 513, 6437, 267, 855, 2864, 267, 621, 568, 827, 4180, 519, 3106, 540, 938, 1453, 543, 4180, 1455, 2631, 543, 5168, 616, 6026, 547, 938, 1453, 269, 11088, 267, 1082, 3237, 616, 3222, 602, 590, 8104, 296, 568, 711, 513, 6437, 269, 4208, 616, 596, 1818, 971, 606, 25619, 543, 2887, 20160, 1139, 3789, 950, 972, 616, 811, 10296, 6927, 267, 971, 607, 5009, 11413, 267, 5168, 267, 543, 1930, 5188, 267, 799, 519, 4604, 814, 8959, 14320, 547, 3035, 286, 0, 10144, 3323, 1210, 741, 10051, 811, 543, 811, 538, 519, 2038, 5933, 540, 519, 6855, 609, 519, 8404, 540, 22406, 18399, 543, 11005, 269, 26943, 2435, 2238, 723, 1312, 13680, 543, 3978, 16837, 1995, 2934, 538, 2474, 540, 5626, 1134, 5630, 543, 616, 5156, 547, 723, 513, 2647, 2039, 540, 1134, 5630, 2640, 563, 12648, 4656, 267, 513, 32521, 540, 5876, 267, 543, 513, 21686, 540, 1445, 269, 28528, 3575, 519, 5820, 1927, 267, 27106, 538, 513, 1970, 14089, 267, 543, 4585, 707, 14326, 865, 541, 269, 1975, 2056, 942, 538, 519, 10051, 949, 2087, 707, 7099, 543, 2333, 2790, 1072, 269, 2755, 538, 16512, 11477, 7041, 568, 6157, 513, 1505, 547, 2743, 519, 1560, 779, 9422, 2115, 267, 621, 779, 849, 1373, 4922, 18931, 607, 513, 1259, 547, 16138, 880, 519, 2247, 269, 18181, 4679, 513, 1268, 779, 1134, 5630, 543, 568, 5532, 547, 513, 2631, 540, 30593, 618, 538, 1272, 269, 1280, 1082, 1426, 18798, 267, 7836, 942, 538, 519, 10051, 267, 11256, 543, 5986, 949, 581, 519, 3501, 4542, 585, 12257, 543, 2790, 1134, 5630, 563, 7628, 519, 2618, 10999, 2182, 5046, 268, 866, 27579, 2395, 267, 1004, 941, 711, 1152, 2111, 547, 3035, 6986, 18399, 543, 11005, 267, 855, 789, 941, 849, 2111, 547, 1118, 6626, 8753, 827, 741, 2729, 676, 1620, 741, 1378, 1761, 269, 26943, 2435, 2238, 267, 799, 941, 1101, 2938, 607, 513, 13766, 1282, 519, 5046, 268, 866, 27579, 2395, 2066, 519, 1158, 267, 7960, 883, 513, 16837, 22812, 920, 1049, 2534, 936, 942, 543, 3459, 547, 4196, 607, 513, 1907, 585, 20993, 1004, 779, 5626, 1134, 5630, 269, 16071, 540, 1426, 616, 11540, 593, 1514, 2923, 267, 543, 1034, 540, 519, 942, 267, 1004, 616, 3843, 1007, 1919, 585, 519, 1101, 942, 269, 4438, 519, 2838, 5046, 268, 866, 31741, 2395, 267, 519, 16990, 5222, 540, 11255, 11477, 2238, 593, 1004, 779, 20369, 3832, 3576, 1416, 540, 741, 2790, 1134, 5630, 563, 298, 527, 29353, 616, 1490, 21148, 609, 7399, 585, 11589, 707, 5876, 543, 4466, 707, 2095, 269, 5620, 596, 2479, 4767, 875, 1079, 2043, 949, 1118, 519, 1482, 8670, 2943, 723, 1360, 1114, 2164, 286, 3487, 540, 519, 2601, 585, 713, 568, 1813, 547, 519, 30608, 12146, 602, 568, 3769, 538, 1169, 11600, 1107, 9345, 269, 18181, 786, 948, 1118, 596, 1745, 1732, 543, 18668, 952, 596, 723, 4160, 610, 616, 538, 513, 3983, 7099, 269, 1975, 2056, 942, 538, 519, 10051, 786, 948, 14867, 8082, 543, 4160, 267, 607, 1134, 607, 2087, 11009, 269, 18181, 607, 513, 2250, 830, 568, 4749, 6594, 585, 922, 9354, 2360, 267, 1519, 922, 16957, 4390, 547, 16578, 513, 25302, 2631, 540, 942, 543, 12012, 4656, 563, 8253, 1152, 666, 519, 957, 540, 5986, 543, 11256, 2333, 835, 779, 7099, 267, 855, 519, 2631, 540, 22920, 6508, 689, 13156, 519, 8737, 1267, 849, 8309, 547, 12257, 269, 1411, 4076, 1500, 1945, 6405, 602, 666, 581, 10150, 543, 3838, 267, 543, 596, 17330, 547, 1745, 10583, 540, 3054, 269, 18181, 267, 2687, 547, 5626, 16293, 267, 2488, 811, 982, 513, 2631, 540, 1967, 2094, 621, 10750, 569, 10742, 938, 3929, 991, 585, 3483, 543, 4644, 538, 938, 2729, 269, 18181, 568, 606, 2534, 602, 3322, 513, 3099, 540, 5759, 267, 1519, 1702, 543, 4058, 267, 3007, 547, 1469, 267, 11291, 543, 9345, 267, 2168, 32609, 614, 640, 267, 5876, 267, 543, 2511, 269, 0, 763, 11957, 540, 2578, 17287, 4007, 20904, 454, 28495, 22989, 525, 1404, 513, 2565, 1909, 538, 1082, 4853, 3157, 269, 1452, 6191, 616, 1031, 547, 5094, 15559, 543, 17571, 543, 616, 606, 1898, 1907, 538, 6080, 971, 607, 1426, 4393, 267, 31534, 267, 543, 16894, 2126, 269, 1879, 25916, 525, 616, 711, 1134, 31720, 22633, 267, 789, 666, 1831, 513, 3106, 9651, 543, 2014, 14427, 29987, 269, 24367, 25916, 525, 666, 2327, 789, 3136, 547, 7500, 7561, 543, 28761, 563, 3528, 1739, 2834, 5826, 16131, 543, 7114, 1761, 2042, 1354, 789, 1831, 2565, 267, 12427, 666, 2061, 10913, 543, 1832, 25916, 525, 4881, 12347, 269, 634, 5826, 540, 25916, 525, 3340, 513, 1505, 673, 1935, 602, 12427, 1058, 1246, 547, 1832, 711, 1152, 519, 3684, 855, 849, 12427, 543, 824, 4600, 2922, 269, 634, 5826, 540, 513, 1298, 17287, 4007, 24024, 519, 1981, 540, 796, 680, 10165, 29987, 267, 6971, 5826, 3790, 267, 543, 4679, 2949, 2504, 4398, 563, 30131, 22020, 547, 18554, 585, 20904, 454, 2467, 616, 1896, 3334, 547, 6895, 538, 25916, 525, 547, 2327, 789, 616, 7157, 9738, 269, 1452, 3334, 1331, 912, 763, 1657, 268, 20197, 3334, 1058, 581, 16913, 5702, 267, 543, 5826, 5645, 856, 2687, 547, 519, 10672, 779, 5227, 8430, 563, 763, 11588, 540, 8617, 2578, 17287, 4007, 20904, 454, 14611, 5199, 568, 606, 1898, 851, 540, 5329, 519, 1298, 17287, 4007, 538, 1434, 2324, 2783, 269, 8617, 5826, 2488, 1082, 2640, 267, 1519, 912, 763, 8892, 540, 2578, 17287, 4007, 20904, 454, 763, 2104, 540, 1298, 17287, 4007, 5826, 568, 10578, 269, 25895, 7760, 538, 8596, 543, 3301, 1683, 811, 1239, 982, 2479, 1354, 827, 1298, 17287, 4007, 2773, 269, 634, 946, 540, 5841, 4987, 543, 3684, 1565, 666, 5659, 713, 1239, 267, 3713, 3270, 267, 543, 2697, 1761, 2042, 543, 3435, 1354, 789, 4755, 269, 21023, 633 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 547, 723, 13322, 4408, 607, 513, 851, 540, 741, 2990, 543, 1909, 538, 2486, 563, 274, 269, 1548, 568, 1325, 341, 867, 781, 1101, 2012, 267, 607, 2016, 547, 1200, 950, 1352, 729, 4535, 888, 275, 269, 13322, 13090, 568, 519, 1152, 594, 11803, 13477, 1153, 693, 519, 942, 602, 814, 811, 982, 15823, 7111, 1977, 1053, 563, 276, 269, 6904, 540, 1325, 341, 867, 781, 3237, 568, 513, 2407, 15918, 797, 539, 18937, 26953, 1268, 267, 2687, 547, 713, 1433, 888, 1607, 3296, 3568, 476, 4198, 1913, 454, 26140, 269, 476, 272, 2985, 693, 476, 4968, 1913, 829, 2985, 264, 0, 26261, 645, 4711, 616, 513, 1732, 3903, 982, 5068, 11435, 269, 630, 292, 1723, 674, 7037, 11435, 616, 519, 1655, 4781, 30314, 994, 26261, 11435, 723, 2141, 1044, 2808, 513, 811, 10357, 7874, 4244, 282, 2705, 6236, 741, 3003, 1272, 4783, 267, 2390, 2417, 6514, 267, 596, 786, 1265, 513, 1114, 1267, 269, 4014, 789, 616, 1500, 689, 513, 7791, 4199, 543, 616, 27500, 267, 950, 3168, 693, 1957, 9126, 5663, 267, 6165, 267, 543, 12871, 2042, 267, 596, 786, 1294, 789, 616, 538, 1249, 711, 513, 1732, 4244, 269, 22702, 547, 5068, 267, 6721, 513, 1957, 9126, 32307, 476, 3583, 260, 811, 2518, 8337, 9362, 267, 5932, 476, 2004, 2053, 811, 1216, 5533, 267, 3096, 476, 275, 2053, 811, 6151, 2326, 267, 543, 27499, 476, 274, 269, 276, 2053, 811, 1648, 269, 1452, 2338, 616, 4230, 15929, 543, 621, 781, 938, 2816, 607, 6800, 547, 8275, 519, 5013, 269, 1284, 1590, 2015, 519, 824, 4781, 1498, 267, 543, 602, 568, 519, 946, 540, 23431, 11435, 269, 634, 946, 540, 873, 786, 4625, 9004, 1022, 2152, 2404, 609, 519, 8925, 563, 5629, 513, 5068, 9126, 4422, 883, 513, 25087, 267, 621, 9714, 525, 4625, 267, 1318, 888, 310, 3994, 26008, 769, 513, 25087, 267, 4986, 476, 1911, 260, 4625, 9714, 525, 1813, 547, 519, 3668, 540, 1216, 267, 1769, 543, 5135, 602, 616, 2556, 585, 519, 12159, 1184, 269, 19889, 674, 7037, 11435, 786, 2063, 909, 547, 476, 273, 268, 274, 1296, 865, 519, 3390, 540, 873, 9714, 532, 538, 513, 25087, 786, 581, 606, 1310, 2288, 339, 563, 288, 1455, 13429, 568, 602, 2899, 513, 5068, 9126, 8666, 1673, 1122, 10232, 538, 513, 25087, 267, 1287, 621, 568, 8854, 585, 1434, 563, 4913, 267, 519, 5068, 689, 513, 2582, 14025, 9126, 2760, 4422, 2476, 267, 543, 6757, 5536, 666, 4283, 519, 1426, 5832, 950, 789, 616, 28041, 676, 5667, 639, 1051, 532, 2831, 269, 901, 568, 15490, 547, 519, 2831, 3824, 20535, 873, 269, 634, 946, 540, 10357, 7874, 11435, 786, 3533, 4194, 1022, 2042, 2404, 609, 5068, 11435, 31362, 938, 7320, 563, 3725, 19464, 568, 519, 2626, 1318, 286, 654, 3994, 8627, 2336, 3725, 19464, 814, 922, 1747, 4534, 538, 1249, 267, 649, 2709, 11435, 1500, 540, 13381, 27946, 267, 1572, 681, 303, 4953, 11435, 610, 13381, 27946, 11435, 267, 1317, 649, 1489, 4264, 10092, 585, 519, 1158, 781, 936, 629, 1495, 766, 540, 5068, 269, 1717, 267, 621, 781, 711, 519, 3070, 547, 519, 5068, 9126, 1966, 269, 27822, 3928, 585, 5068, 11435, 616, 5393, 1970, 269, 8307, 476, 272, 547, 476, 274, 260, 540, 5068, 11435, 1439, 909, 3478, 13381, 269, 769, 1840, 267, 9297, 540, 9657, 5068, 11435, 616, 711, 13267, 269, 3245, 519, 1184, 540, 18570, 267, 547, 519, 12526, 540, 538, 802, 543, 519, 2949, 1970, 2298, 540, 519, 5068, 1031, 538, 15229, 11435, 267, 6691, 619, 1131, 1454, 2864, 1445, 593, 9657, 519, 5318, 9424, 540, 811, 14323, 2326, 971, 607, 14614, 543, 5144, 14569, 602, 666, 581, 13381, 2484, 811, 7561, 269, 1403, 519, 9297, 1810, 1405, 960, 267, 9657, 3646, 1810, 1405, 960, 269, 1284, 1590, 1451, 827, 519, 14868, 2404, 609, 891, 2042, 543, 8275, 519, 5013, 269, 898, 781, 942, 547, 1439, 782, 540, 891, 2042, 543, 3025, 2115, 547, 8275, 602, 519, 3070, 6013, 1369, 519, 946, 540, 10357, 7874, 11435, 269, 0, 290, 5670, 1235, 538, 8303, 616, 547, 581, 4847, 547, 11878, 998, 2699, 8279, 267, 607, 2749, 8128, 3343, 547, 2759, 5533, 2157, 676, 15673, 532, 811, 1004, 856, 540, 741, 6517, 454, 288, 3060, 540, 1007, 6808, 8279, 585, 21891, 786, 1450, 7814, 1235, 547, 2901, 11878, 2786, 6619, 610, 2490, 1318, 267, 1256, 950, 6517, 616, 12758, 593, 2699, 563, 307, 3949, 5645, 856, 538, 476, 1001, 273, 6700, 602, 3850, 7814, 1235, 811, 5191, 1131, 2087, 519, 2095, 540, 6808, 543, 2759, 519, 1297, 540, 21611, 267, 2523, 1346, 5473, 513, 1286, 779, 9420, 5544, 563, 763, 8279, 786, 581, 8704, 693, 15118, 2388, 538, 519, 3854, 1063, 5147, 543, 519, 1439, 540, 5181, 267, 519, 5604, 540, 8303, 25650, 14732, 670, 10537, 2998, 1767, 563, 10712, 690, 713, 4832, 814, 19430, 2749, 8128, 547, 2699, 19302, 741, 3646, 547, 5818, 15203, 693, 519, 13258, 540, 1286, 15322, 267, 1247, 9993, 593, 6117, 723, 1044, 13684, 538, 519, 8998, 540, 8303, 563, 288, 2749, 17253, 3060, 540, 4783, 10092, 543, 476, 1015, 267, 1822, 17919, 18736, 5624, 616, 849, 1373, 2813, 267, 851, 540, 513, 5397, 547, 2327, 602, 476, 1428, 829, 1298, 540, 15322, 616, 676, 11332, 267, 519, 18917, 4080, 563, 8489, 519, 8279, 616, 711, 8704, 267, 7814, 1235, 786, 723, 547, 705, 728, 676, 3339, 6808, 8279, 1107, 543, 786, 581, 1869, 581, 4397, 547, 2285, 1259, 19516, 20379, 1141, 3617, 563, 1103, 476, 1220, 278, 267, 8303, 5189, 922, 2048, 309, 601, 756, 685, 4783, 16926, 10325, 1107, 1614, 1296, 1354, 5507, 5189, 865, 10777, 2048, 289, 528, 529, 645, 10105, 9957, 898, 814, 476, 272, 267, 15996, 10473, 543, 476, 866, 267, 1822, 21891, 267, 3379, 547, 476, 278, 5655, 543, 476, 1556, 267, 4335, 538, 5507, 563, 16039, 670, 10537, 2998, 1767, 2063, 1032, 602, 1352, 4941, 519, 8998, 540, 519, 2749, 547, 1831, 968, 9895, 328, 1790, 539, 652, 6929, 2213, 6100, 3725, 2224, 1543, 0, 22025, 6670, 543, 595, 10984, 923, 3778, 454, 19425, 2801, 1670, 2007, 338, 538, 3345, 3013, 814, 3327, 18584, 4095, 17428, 689, 476, 1789, 267, 1822, 645, 5861, 563, 10287, 3733, 476, 2412, 4303, 8000, 6670, 7420, 454, 763, 2136, 2276, 729, 811, 610, 1447, 5258, 883, 3670, 28772, 4919, 2127, 912, 763, 25763, 281, 623, 29301, 334, 543, 18937, 26953, 27639, 21026, 13523, 4095, 2528, 814, 4957, 2370, 936, 519, 5553, 267, 7429, 9170, 3116, 538, 4095, 3013, 282, 621, 568, 4105, 543, 15851, 563, 763, 25763, 666, 30107, 519, 9510, 6024, 2594, 540, 3110, 2787, 593, 519, 11782, 3544, 540, 6792, 563, 3528, 519, 4098, 540, 519, 4168, 5736, 267, 1614, 3119, 27623, 4529, 941, 8108, 281, 670, 2129, 758, 600, 630, 22238, 2406, 519, 24970, 1027, 757, 540, 2221, 781, 623, 9874, 543, 14466, 6210, 12075, 538, 14151, 1070, 631, 690, 3326, 517, 630, 1993, 799, 519, 631, 12494, 637, 2528, 729, 519, 5207, 9740, 1070, 543, 623, 29301, 334, 630, 6518, 6172, 1314, 539, 538, 519, 1605, 22770, 2540, 538, 519, 9050, 12397, 619, 1858, 540, 12548, 267, 18096, 267, 14151, 267, 543, 1715, 6792, 1916, 7197, 540, 891, 3504, 4529, 8709, 1639, 676, 519, 1000, 27097, 2540, 267, 855, 519, 623, 29301, 334, 543, 18937, 26953, 4529, 3136, 2221, 563, 3080, 540, 519, 6574, 7215, 540, 17375, 1148, 538, 519, 1158, 568, 519, 3162, 13523, 20341, 1500, 538, 519, 4540, 8938, 533, 29301, 657, 538, 1715, 6792, 543, 14151, 267, 543, 676, 519, 18937, 1690, 657, 538, 14151, 563, 763, 15364, 540, 891, 4095, 4529, 568, 21407, 607, 1279, 607, 741, 3661, 1949, 2611, 16856, 563, 300, 12494, 637, 19746, 12826, 267, 524, 269, 589, 6185, 269, 476, 1911, 271, 268, 12893, 271, 282, 519, 4099, 540, 713, 12826, 568, 7745, 547, 1450, 519, 21549, 779, 6891, 547, 9101, 563, 763, 623, 29301, 334, 12075, 7437, 22406, 4222, 540, 1915, 543, 16608, 267, 519, 623, 29301, 334, 12075, 15068, 519, 5053, 20630, 832, 267, 519, 12159, 540, 21037, 267, 543, 519, 726, 8046, 602, 3262, 689, 519, 627, 14403, 753, 3676, 563, 5629, 519, 2136, 2276, 3576, 936, 519, 2244, 12306, 676, 519, 5053, 267, 782, 824, 12075, 538, 713, 2197, 941, 6410, 547, 6552, 3338, 4652, 527, 585, 3110, 2787, 610, 6683, 910, 693, 513, 1390, 1942, 540, 1272, 543, 3929, 2566, 585, 519, 12075, 563, 763, 6560, 585, 6228, 5170, 547, 713, 1554, 267, 3226, 538, 519, 533, 29301, 657, 563, 3528, 543, 1804, 267, 623, 29301, 334, 1004, 723, 711, 7471, 543, 954, 3405, 3072, 609, 16543, 267, 855, 723, 18423, 538, 741, 8655, 2127, 609, 519, 533, 29301, 334, 693, 519, 4099, 540, 741, 2729, 607, 519, 4295, 540, 30060, 2534, 563, 1607, 9279, 3019, 532, 814, 4847, 891, 2950, 547, 8190, 741, 5389, 543, 9821, 899, 1100, 824, 4095, 1895, 563, 5141, 599, 8043, 723, 1044, 1500, 585, 4859, 543, 7622, 946, 538, 891, 19335, 7239, 585, 693, 2547, 476, 1220, 271, 1296, 563, 10376, 533, 29301, 334, 814, 2919, 513, 2511, 540, 1106, 543, 23732, 6805, 547, 922, 2115, 543, 4978, 563, 4322, 8795, 6163, 723, 1044, 13840, 13006, 543, 11911, 547, 1880, 533, 29301, 657, 2094, 519, 5053, 21037, 563, 303, 29301, 334, 12075, 5294, 4624, 804, 904, 689, 741, 1378, 5728, 18577, 10036, 2959, 563, 7197, 17428, 941, 1159, 2393, 1117, 547, 1711, 6633, 1639, 10080, 585, 6272, 267, 799, 941, 13556, 609, 23416, 1500, 689, 24470, 540, 23017, 2371, 610, 29656, 2666, 17285, 7725, 563, 289, 6350, 1127, 941, 2759, 543, 8032, 689, 519, 1750, 14954, 7475, 540, 1000, 12127, 610, 586, 340, 17433, 18651, 1091, 563, 10908, 10270, 729, 3592, 2760, 1031, 585, 513, 15098, 267, 6862, 729, 519, 1494, 614, 781, 8868, 2479, 1031, 585, 1818, 20341, 563, 763, 17428, 941, 2182, 2989, 538, 606, 1930, 9205, 13755, 13933, 8757, 476, 272, 267, 4968, 5232, 18278, 563, 30860, 538, 519, 4605, 2630, 12015, 10800, 610, 10889, 14900, 533, 625, 630, 4385, 607, 10800, 610, 10889, 14900, 31997, 267, 1651, 848, 4896, 2542, 713, 18387, 1405, 1044, 6659, 593, 513, 3484, 264, 723, 1044, 10356, 543, 5116, 538, 2025, 6752, 17646, 8602, 30344, 338, 543, 729, 1031, 607, 4492, 585, 20590, 519, 20341, 563, 22102, 1000, 580, 941, 10356, 543, 1031, 547, 1205, 519, 3595, 3323, 563, 4322, 25447, 2409, 616, 1869, 1031, 2221, 538, 930, 2127, 563, 763, 16456, 7494, 4299, 623, 29301, 334, 20341, 2528, 267, 8744, 8049, 543, 22679, 529, 1438, 14666, 1369, 3914, 540, 519, 5159, 563, 10303, 540, 713, 267, 513, 1390, 4308, 540, 623, 29301, 334, 20341, 729, 1373, 1500, 585, 9042, 607, 6204, 1597, 15077, 563, 307, 2784, 619, 941, 519, 1647, 5443, 543, 1305, 909, 9467, 9708, 602, 2968, 4583, 563, 293, 4202, 543, 6990, 267, 2523, 693, 11829, 1575, 543, 13244, 3171, 267, 15469, 4095, 20341, 563, 4537, 3591, 9513, 1152, 20341, 16204, 2426, 909, 782, 936, 519, 25763, 563, 24465, 4807, 8600, 547, 3595, 20341, 24375, 940, 538, 519, 476, 4572, 271, 338, 267, 519, 1655, 2021, 1494, 1562, 941, 9415, 547, 1129, 741, 960, 267, 543, 4166, 789, 941, 519, 1641, 540, 1454, 1857, 1035, 8010, 689, 519, 3544, 1158, 563, 4263, 519, 1482, 942, 267, 3978, 19216, 540, 4095, 1148, 3459, 547, 10836, 267, 9140, 519, 1655, 960, 563, 5472, 540, 891, 9513, 7399, 4547, 930, 20498, 4095, 2021, 5159, 547, 3084, 3007, 267, 607, 1705, 519, 23596, 618, 540, 1148, 543, 1686, 15882, 563, 7804, 269, 28089, 10557, 670, 1168, 9116, 540, 519, 7467, 540, 1715, 6792, 543, 1010, 9164, 693, 519, 1261, 6614, 7690, 538, 1715, 3840, 543, 519, 28834, 26323, 538, 6115, 267, 667, 5861, 1421, 8179, 856, 519, 1655, 623, 29301, 334, 2021, 1494, 1562, 267, 12349, 543, 17820, 741, 960, 267, 543, 21534, 519, 5159, 547, 6542, 563, 288, 1297, 540, 9058, 2021, 5159, 25577, 538, 713, 5790, 540, 19015, 563, 5804, 891, 5072, 267, 30552, 770, 625, 3459, 563, 6124, 569, 4583, 623, 29301, 334, 20341, 1319, 686, 1105, 338, 267, 971, 607, 21601, 701, 14623, 540, 670, 8457, 543, 12756, 6742, 710, 345, 267, 7691, 519, 13075, 1761, 540, 20341, 607, 789, 849, 6444, 519, 27757, 540, 741, 2025, 2081, 1813, 547, 10980, 543, 1958, 549, 2286, 30222, 563, 4322, 2021, 543, 1866, 899, 873, 4951, 741, 1004, 602, 20341, 1223, 581, 513, 2707, 540, 4747, 547, 948, 2844, 741, 1259, 540, 1272, 563, 303, 29301, 334, 2528, 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 ]
[ 4162, 540, 519, 4609, 798, 711, 4268, 7494, 585, 1753, 4393, 610, 1507, 8397, 4853, 2371, 269, 634, 2596, 3017, 6013, 538, 519, 3937, 543, 519, 1259, 621, 568, 1305, 909, 538, 519, 4393, 3515, 563, 763, 1753, 3491, 22422, 1062, 568, 10151, 543, 11684, 267, 543, 972, 616, 1100, 2027, 2127, 13991, 547, 513, 2582, 1184, 269, 769, 2489, 267, 782, 540, 519, 22402, 4196, 1896, 5301, 267, 2687, 547, 519, 1826, 540, 1184, 543, 6151, 1570, 1373, 1031, 12171, 305, 308, 3951, 623, 8085, 303, 5442, 6789, 7968, 12087, 645, 8980, 306, 5442, 19010, 308, 5960, 454, 763, 1507, 8397, 4853, 1062, 267, 593, 519, 824, 1688, 267, 568, 811, 1950, 538, 922, 3919, 267, 543, 4061, 1808, 2238, 616, 5645, 856, 538, 5462, 2127, 269, 11048, 267, 519, 2489, 4170, 585, 1312, 1949, 616, 2147, 267, 519, 3017, 1373, 538, 519, 1259, 971, 4170, 616, 1558, 269, 2368, 540, 519, 3344, 602, 949, 581, 2808, 1271, 538, 6935, 547, 519, 11265, 543, 4070, 2609, 616, 7396, 2630, 281, 563, 763, 18109, 543, 6821, 540, 519, 4393, 4055, 1590, 581, 540, 11547, 762, 543, 3362, 12015, 2326, 282, 789, 1590, 581, 9444, 10110, 550, 6862, 24338, 269, 1717, 267, 952, 5841, 8279, 1590, 581, 1031, 267, 789, 1058, 711, 17225, 2238, 538, 1022, 1259, 563, 25369, 8654, 1590, 581, 6870, 267, 547, 2061, 15998, 540, 4837, 689, 9991, 883, 519, 1587, 607, 621, 568, 1373, 9268, 267, 538, 2013, 540, 10913, 269, 18648, 14910, 538, 3810, 20583, 543, 29822, 20651, 22402, 949, 5352, 12889, 269, 898, 568, 849, 1271, 547, 1683, 585, 519, 17594, 540, 8185, 8764, 908, 5212, 2293, 267, 1256, 952, 789, 616, 711, 8209, 6757, 563, 4002, 519, 824, 1688, 267, 4430, 14910, 267, 2523, 538, 4025, 6353, 676, 1390, 19666, 12526, 5007, 547, 519, 4393, 3135, 267, 7452, 543, 7786, 9247, 267, 949, 6961, 547, 581, 4831, 335, 8793, 563, 7343, 12037, 14910, 1590, 4061, 581, 1759, 593, 606, 3608, 1062, 9013, 519, 1569, 540, 4914, 1570, 689, 519, 5007, 1604, 269, 6145, 519, 6821, 543, 18109, 540, 519, 4393, 4055, 267, 519, 6989, 1590, 581, 11547, 762, 267, 547, 2327, 10220, 609, 519, 22402, 262, 31978, 545, 543, 1072, 4441, 269, 634, 6989, 1590, 849, 581, 1793, 25660, 547, 1450, 3617, 12775, 267, 9319, 693, 782, 3790, 519, 5250, 540, 20115, 538, 519, 4393, 1858, 563, 4263, 519, 1482, 942, 267, 1416, 1590, 581, 3144, 547, 2061, 519, 6989, 689, 1373, 31868, 2044, 269, 1452, 616, 930, 1806, 540, 519, 2934, 602, 1590, 21656, 513, 4829, 543, 10448, 4393, 3135, 547, 10018, 513, 2298, 1587, 5078, 585, 1480, 4616, 269, 8422, 2596, 2533, 616, 2838, 585, 519, 5106, 540, 513, 1062, 607, 519, 835, 538, 2243, 281, 5122, 1379, 267, 6704, 1216, 543, 519, 12871, 540, 3653, 7297, 269, 7775, 1052, 10433, 568, 3989, 538, 519, 2136, 2276, 8943, 540, 8549, 22769, 607, 519, 834, 684, 2536, 7757, 10433, 5833, 689, 9921, 24453, 540, 519, 2249, 13022, 6350, 5609, 18424, 610, 540, 519, 20521, 10316, 4122, 1572, 2549, 1499, 11548, 563, 7775, 1052, 10433, 568, 4122, 30630, 538, 1614, 3029, 281, 607, 513, 13792, 13404, 267, 799, 568, 29809, 609, 1216, 1310, 6718, 282, 607, 513, 10411, 21114, 5277, 267, 799, 814, 1044, 13671, 543, 1287, 29809, 1991, 547, 9042, 282, 610, 607, 513, 2582, 4222, 267, 14955, 1417, 3603, 20892, 1572, 715, 15598, 610, 3502, 3245, 24517, 3433, 269, 13022, 6350, 5613, 267, 899, 24453, 267, 723, 1044, 16916, 585, 519, 2063, 476, 275, 267, 1296, 538, 7013, 3624, 543, 14913, 5607, 269, 2290, 3099, 267, 519, 3632, 1258, 267, 729, 5645, 547, 519, 5664, 5101, 930, 6066, 1063, 543, 645, 563, 288, 4599, 18318, 16487, 24453, 547, 9456, 4000, 543, 519, 5664, 5101, 28069, 1063, 543, 589, 269, 3245, 972, 267, 789, 941, 5645, 547, 519, 1715, 2622, 676, 17701, 1141, 789, 3262, 547, 8419, 543, 8478, 676, 519, 31303, 2540, 269, 1635, 519, 521, 267, 20521, 5613, 6913, 5001, 3892, 563, 1103, 519, 521, 267, 519, 3747, 585, 873, 7494, 2799, 1317, 13500, 4362, 602, 6704, 519, 10433, 540, 24453, 610, 824, 20521, 5613, 1223, 2061, 1085, 584, 11803, 267, 513, 6171, 10638, 2068, 269, 634, 8560, 540, 10538, 10433, 13497, 2799, 1586, 609, 519, 1646, 540, 519, 5010, 10538, 10433, 2872, 538, 519, 3735, 521, 269, 769, 922, 2038, 2395, 267, 519, 10433, 2872, 5097, 16941, 593, 32006, 3042, 4829, 267, 799, 729, 5667, 340, 3386, 585, 2834, 4616, 1317, 621, 729, 4413, 327, 777, 523, 267, 21354, 11954, 610, 6926, 332, 1639, 563, 1103, 519, 521, 267, 1646, 540, 28028, 2000, 1441, 23691, 543, 8441, 538, 13594, 584, 1436, 2553, 3366, 547, 4824, 10433, 2298, 543, 519, 2872, 9450, 3648, 269, 3973, 267, 1202, 2615, 1235, 1336, 513, 1259, 547, 13404, 4829, 10433, 538, 513, 12511, 543, 19068, 621, 1510, 21006, 519, 8137, 610, 6171, 1543, 269, 31530, 7999, 13671, 23238, 941, 1101, 4421, 538, 519, 2136, 2276, 1282, 663, 789, 2968, 4922, 2139, 543, 2442, 269, 2991, 2622, 2782, 4083, 267, 1034, 4892, 11074, 17065, 4506, 741, 1378, 10433, 543, 13671, 10433, 2968, 519, 12880, 1106, 563, 4415, 519, 2333, 538, 1753, 14023, 2209, 267, 13792, 13404, 2968, 1256, 811, 2442, 269, 634, 3747, 585, 13792, 23238, 1185, 513, 7096, 1764, 593, 519, 20521, 2872, 543, 838, 13899, 519, 2208, 540, 519, 8419, 20521, 9240, 1407, 563, 293, 549, 7999, 30211, 7283, 519, 1034, 2442, 1106, 2394, 950, 10411, 21114, 543, 715, 15598, 23238, 1101, 856, 1606, 1245, 519, 13792, 1826, 563, 9213, 267, 5010, 513, 572, 10364, 11183, 2636, 21512, 291, 23238, 547, 581, 30630, 1510, 14023, 730, 4859, 269, 634, 3119, 12146, 538, 10538, 10433, 568, 267, 540, 1576, 267, 24453, 269, 2107, 5190, 616, 2818, 540, 519, 678, 826, 1920, 31089, 19687, 663, 20521, 4054, 4866, 547, 519, 12593, 13022, 6350, 269, 2107, 5190, 267, 2059, 609, 782, 20521, 5613, 267, 616, 513, 2027, 1826, 540, 10874, 787, 7762, 534, 1235, 3277, 547, 607, 513, 11688, 704, 29899, 563, 28082, 2010, 540, 24453, 1331, 14255, 767, 267, 13495, 18288, 267, 543, 4406, 16780, 807, 269, 589, 11100, 540, 1114, 2010, 540, 24453, 568, 3622, 1031, 547, 1683, 513, 1808, 8137, 543, 547, 2327, 5191, 689, 15280, 1145, 563, 5353, 3005, 540, 24453, 585, 10433, 568, 1500, 593, 519, 4493, 540, 513, 1297, 540, 2188, 971, 607, 3099, 543, 15657, 540, 519, 4829, 269, 634, 4829, 3568, 513, 1297, 540, 2067, 2326, 602, 3565, 547, 519, 2949, 8137, 543, 11007, 540, 519, 10433, 1519, 1216, 267, 14836, 5097, 7319, 13427, 267, 535, 28229, 267, 543, 7280, 16955, 7408, 5097, 3632, 878, 267, 4731, 545, 267, 543, 25188, 541, 545, 663, 8137, 7135, 1519, 1585, 1965, 1562, 267, 4568, 338, 267, 11337, 2158, 267, 14915, 2158, 267, 543, 30691, 269, 3465, 969, 2510, 971, 607, 16247, 8166, 610, 9770, 1649, 15605, 622, 616, 4847, 676, 5313, 7939, 538, 10538, 10433, 4352, 519, 5666, 616, 14553, 6417, 563, 306, 11548, 22211, 949, 581, 3773, 538, 519, 1106, 540, 8970, 21360, 267, 632, 868, 13427, 267, 9932, 267, 610, 1256, 5841, 6653, 22211, 269, 2859, 1419, 267, 1498, 267, 3632, 878, 3679, 568, 3773, 547, 1683, 25188, 1145, 269, 13583, 20445, 949, 849, 6830, 1518, 23238, 609, 3063, 8324, 610, 29433, 5567, 971, 607, 6171, 595, 267, 543, 1447, 4122, 267, 8324, 589, 543, 661, 267, 543, 12498, 25558, 2940, 563, 289, 9508, 25558, 2940, 568, 6923, 1459, 538, 24453, 267, 855, 1152, 547, 513, 1507, 4110, 269, 1703, 568, 930, 6161, 827, 519, 6617, 540, 891, 3773, 8324, 1317, 789, 798, 711, 7639, 519, 8022, 1184, 1360, 1134, 269, 25289, 538, 519, 1106, 540, 959, 673, 6458, 19552, 267, 568, 849, 4749, 3773, 547, 10538, 10433, 269, 634, 2034, 1826, 540, 10868, 814, 519, 24453, 2759, 538, 3368, 1354, 519, 10433, 568, 6569, 269, 634, 5613, 616, 30000, 607, 789, 1780, 676, 513, 19335, 17180, 543, 519, 30556, 616, 1287, 13603, 909, 676, 12285, 32137, 11680, 543, 6410, 1996, 5068, 1583, 3603, 556, 600, 619, 563, 763, 15914, 556, 600, 619, 2769, 519, 10433, 607, 519, 10538, 30556, 2951, 1472, 519, 23740, 1899, 12282, 592, 476, 1839, 267, 15080, 269, 22500, 5102, 1186, 666, 581, 4411, 6740, 585, 1279, 5712, 540, 942, 269, 1520, 1091, 2804, 1871, 547, 5613, 269, 3680, 338, 4829, 27830, 29283, 540, 4829, 17870, 568, 8375, 11179, 1813, 547, 519, 7082, 13283, 585, 2635, 1426, 2472, 269, 769, 519, 1426, 4393, 2872, 26258, 17870, 267, 513, 4122, 1336, 1587, 267, 568, 1419, 1031, 607, 606, 12146, 538, 5663, 540, 4829, 795, 4461, 267, 795, 749, 625, 267, 562, 624, 1513, 267, 30077, 902, 267, 4816, 1426, 2472, 543, 10683, 16098, 563, 293, 21209, 616, 26693, 543, 11117, 538, 2474, 540, 2298, 269, 2776, 5498, 3005, 568, 2944, 538, 1931, 547, 23868, 5613, 16789, 585, 17870, 2504, 563, 293, 21209, 543, 29641, 1635, 335, 20094, 1656, 21964, 769, 5253, 14409, 24322, 454, 293, 21209, 616, 18233, 267, 543, 10929, 513, 24846, 1436, 1184, 609, 8392, 3990, 1216, 28327, 267, 2687, 547, 4829, 1826, 269, 3973, 267, 5613, 616, 32092, 539, 547, 4894, 20841, 21225, 269, 4223, 4851, 4110, 540, 5613, 568, 11117, 282, 1152, 519, 5613, 5078, 585, 13844, 1434, 2298, 17870, 616, 4464, 539, 547, 519, 4393, 7997, 269, 4438, 4393, 267, 17870, 1710, 29913, 9280, 609, 20146, 1407, 540, 1114, 8544, 1127, 616, 1031, 547, 11677, 890, 1564, 267, 5452, 543, 824, 4829, 13980, 563, 2252, 2838, 267, 3679, 592, 1218, 610, 29089, 2510, 616, 3773, 693, 519, 4630, 4094, 1436, 3942, 269, 634, 1587, 568, 14095, 543, 6740, 693, 5078, 5210, 547, 2226, 9422, 267, 1418, 1961, 10364, 543, 18117, 1670, 4162, 540, 519, 4829, 17870, 563, 7312, 8745, 2838, 269, 2659, 19478, 2838, 269, 2659, 24606, 269, 22500, 17240, 335, 14409, 7325, 476, 1839, 267, 15080, 269, 5403, 14358, 281, 476, 273, 267, 5192, 5131, 31173, 3767, 26008, 5445, 616, 3638, 538, 5567, 267, 4061, 267, 723, 1082, 1072, 2640, 269, 29759, 543, 29641, 1635, 335, 20094, 13028, 25988, 27700, 269, 589, 1804, 1297, 540, 676, 1790, 20094, 616, 3812, 689, 1426, 6080, 563, 4322, 616, 519, 6281, 2472, 6383, 1282, 5663, 540, 3119, 2472, 269, 901, 2882, 890, 1564, 267, 5452, 267, 3762, 267, 15895, 17870, 267, 11710, 267, 10007, 267, 543, 23987, 4773, 689, 513, 3099, 540, 2959, 563, 4322, 676, 1790, 20094, 616, 519, 1434, 2707, 540, 6915, 5562, 7135, 267, 2428, 15869, 11472, 338, 267, 543, 824, 6198, 3536, 269, 4475, 267, 972, 568, 513, 2635, 7678, 2509, 676, 1790, 6055, 13345, 543, 1871, 1840, 269, 4475, 267, 3653, 2115, 547, 581, 8246, 5265, 543, 7561, 269, 26805, 3653, 543, 1210, 621, 585, 676, 1790, 20094, 513, 723, 513, 1434, 1764, 593, 2916, 269, 1635, 1790, 20094, 689, 1426, 6080, 616, 3638, 538, 5567, 865, 723, 1082, 1072, 2640, 269, 1635, 1790, 6055, 13345, 3947, 1776, 2707, 540, 4747, 547, 6080, 267, 865, 621, 2337, 547, 2333, 2804, 7607, 563, 3528, 1790, 20094, 5833, 689, 10538, 17870, 543, 22019, 1310, 10433, 10868, 568, 519, 10464, 543, 10731, 2707, 540, 8192, 6775, 269, 26678, 6775, 8869, 666, 581, 5423, 689, 713, 269, 2991, 1697, 11067, 267, 621, 568, 12015, 693, 513, 2837, 2630, 476, 4792, 476, 271, 595, 585, 476, 1321, 31477, 563, 22512, 1058, 581, 3144, 602, 6198, 3601, 543, 25168, 1156, 11169, 267, 512, 2335, 1231, 267, 16320, 30662, 514, 899, 7135, 2611, 24240, 269, 901, 8869, 666, 581, 1031, 585, 1871, 1840, 538, 1585, 1426, 2472, 563, 2467, 568, 513, 1804, 2179, 540, 15837, 22019, 568, 6383, 607, 15837, 568, 6140, 10057, 10448, 5001, 269, 8000, 6737, 22019, 568, 3638, 538, 11103, 269, 17316, 619, 1404, 606, 1271, 1909, 538, 1480, 1072, 543, 948, 538, 519, 6604, 540, 3676, 269, 1677, 5965, 15837, 22019, 11103, 267, 15837, 890, 1564, 616, 18233, 609, 1216, 543, 12015, 538, 606, 14089, 693, 476, 2568, 476, 271, 595, 585, 476, 1321, 31477, 269, 898, 1058, 581, 6740, 896, 12104, 3130, 563, 2005, 568, 3812, 1282, 519, 31577, 10433, 10868, 1184, 269, 901, 4396, 3653, 568, 513, 3638, 2707, 540, 25558, 523, 6950, 267, 11103, 543, 4307, 21095, 7135, 269, 2991, 4393, 267, 621, 666, 581, 1031, 538, 1818, 31577, 1759, 27772, 5144, 269, 634, 8869, 666, 581, 5423, 676, 12511, 15018, 543, 621, 666, 581, 1031, 607, 513, 1434, 6775, 2707, 538, 1082, 536, 6033, 625 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16373, 1382, 281, 4214, 267, 3483, 543, 1909, 538, 6725, 4640, 6725, 3756, 585, 1053, 4367, 547, 6725, 281, 4214, 543, 3156, 269, 9046, 4214, 476, 1556, 4367, 476, 1321, 6725, 1382, 476, 13199, 519, 991, 585, 6725, 1382, 476, 14338, 6725, 1382, 3989, 476, 1724, 3621, 6725, 563, 273, 9115, 281, 3184, 476, 272, 281, 4367, 547, 6725, 1382, 621, 568, 2009, 547, 2097, 2066, 1082, 8847, 540, 6725, 1382, 538, 4081, 3332, 543, 269, 6732, 6725, 4214, 910, 2228, 6725, 568, 513, 1305, 540, 2645, 543, 8112, 543, 13418, 281, 6800, 949, 1382, 543, 6718, 2472, 543, 2533, 1547, 6258, 519, 3017, 1063, 3119, 543, 6281, 1382, 543, 875, 543, 1141, 547, 4019, 1369, 707, 1870, 781, 6725, 4640, 2015, 707, 1382, 1547, 16373, 1382, 281, 2495, 267, 4214, 543, 6859, 1700, 6045, 2495, 281, 621, 568, 1360, 1271, 547, 1174, 693, 519, 856, 3553, 602, 519, 267, 2413, 1523, 540, 563, 2304, 4367, 547, 7194, 1923, 476, 2354, 657, 1921, 1923, 476, 274, 2344, 1382, 12346, 10386, 543, 8579, 2553, 4122, 1031, 538, 513, 2344, 1382, 1604, 547, 2721, 621, 568, 1419, 1271, 547, 9034, 1047, 1239, 676, 1797, 540, 513, 2582, 4137, 799, 269, 16373, 1382, 568, 519, 1599, 602, 6402, 519, 7082, 267, 6075, 267, 543, 1857, 547, 519, 2344, 518, 998, 1344, 734, 15574, 1031, 547, 2697, 543, 5581, 269, 9181, 8847, 540, 2418, 543, 2528, 267, 5659, 2686, 3631, 607, 547, 3976, 15739, 323, 1746, 3730, 1797, 540, 1382, 585, 3486, 6725, 4367, 269, 4427, 18285, 547, 519, 1382, 1631, 5816, 547, 1451, 827, 2872, 3377, 2519, 593, 538, 1483, 6066, 267, 799, 2306, 621, 2182, 547, 21656, 538, 513, 2582, 267, 2241, 4214, 14646, 814, 13327, 523, 3875, 2344, 1382, 2090, 609, 563, 15812, 7566, 1382, 568, 519, 1184, 610, 1305, 540, 3157, 602, 6402, 519, 12696, 267, 5561, 267, 543, 1439, 3755, 547, 519, 2344, 518, 998, 1344, 1031, 547, 2697, 543, 5581, 6725, 3255, 543, 2042, 5352, 11783, 10369, 1382, 568, 513, 1590, 585, 1022, 1870, 4534, 855, 1354, 596, 1376, 267, 596, 991, 513, 713, 786, 4196, 607, 606, 4367, 547, 707, 5467, 540, 519, 8087, 6082, 281, 4214, 540, 6725, 1382, 6725, 1382, 23891, 530, 328, 573, 267, 1696, 620, 269, 10369, 1382, 568, 519, 946, 540, 12220, 267, 1587, 4152, 543, 1445, 2516, 547, 2708, 519, 23812, 540, 513, 1007, 1587, 610, 3028, 563, 1321, 6725, 2359, 1107, 4367, 267, 2495, 267, 4214, 267, 9165, 543, 4644, 547, 4163, 856, 1318, 2186, 540, 1382, 547, 1265, 856, 7082, 2115, 536, 269, 10369, 1382, 568, 827, 6947, 547, 1004, 267, 30228, 519, 1344, 547, 1451, 811, 827, 519, 1239, 267, 1382, 543, 4030, 2872, 1107, 513, 811, 538, 3829, 4367, 4214, 1382, 799, 2882, 782, 3029, 540, 2344, 267, 6644, 543, 1514, 269, 5153, 476, 272, 5581, 519, 6662, 1299, 707, 968, 2889, 12378, 892, 5310, 519, 1034, 1271, 1900, 538, 519, 2344, 1382, 1184, 568, 10747, 519, 3853, 540, 519, 1788, 693, 519, 4295, 540, 269, 0, 14300, 543, 14803, 3701, 454, 7712, 8055, 781, 942, 267, 519, 6240, 540, 519, 15865, 1688, 814, 1044, 2417, 11368, 883, 2804, 3069, 269, 700, 2946, 517, 9546, 6652, 2919, 513, 2185, 25668, 566, 2489, 11466, 2203, 602, 20147, 602, 1367, 1582, 29027, 5665, 538, 513, 8013, 2344, 1747, 7472, 519, 2189, 2175, 896, 799, 513, 2486, 781, 2698, 10626, 568, 12366, 1242, 269, 966, 559, 15728, 334, 623, 732, 1729, 1031, 606, 6316, 10290, 4216, 3346, 1899, 547, 9414, 513, 2147, 1514, 5688, 1275, 563, 299, 644, 23143, 13153, 631, 2478, 267, 538, 5274, 11059, 630, 5408, 4063, 476, 274, 693, 519, 5377, 1070, 6811, 602, 8055, 5156, 602, 519, 15865, 1688, 729, 602, 540, 2696, 269, 1261, 1705, 711, 1611, 713, 607, 513, 9880, 267, 2094, 646, 4371, 602, 16712, 7744, 5012, 547, 2147, 8753, 563, 763, 15865, 1688, 568, 12926, 6956, 607, 513, 1523, 538, 9297, 267, 855, 7917, 3143, 345, 1157, 13187, 538, 1323, 8944, 267, 3557, 543, 7780, 18701, 602, 6086, 1947, 519, 1482, 1523, 6818, 538, 513, 1297, 540, 824, 2127, 540, 4081, 11407, 896, 1114, 4408, 267, 16113, 16817, 1014, 2067, 5542, 269, 769, 2490, 267, 12253, 667, 3317, 9116, 13187, 538, 16817, 781, 667, 836, 2730, 22830, 602, 713, 4564, 513, 834, 684, 1392, 531, 3679, 257, 602, 949, 581, 4294, 547, 513, 1297, 540, 9583, 19635, 2127, 540, 10952, 14374, 630, 10940, 1145, 543, 1863, 786, 538, 1880, 1040, 6423, 849, 4317, 16817, 1143, 563, 5649, 811, 827, 713, 1888, 281, 769, 6665, 1043, 7435, 454, 293, 13904, 10530, 5627, 519, 1913, 7440, 543, 5924, 1806, 912, 14071, 616, 7487, 606, 2810, 1377, 540, 6285, 593, 519, 25796, 1145, 540, 2021, 269, 1703, 616, 31482, 602, 782, 5686, 540, 1514, 476, 1571, 267, 689, 2196, 12537, 1453, 547, 519, 20495, 11361, 267, 616, 1813, 547, 519, 1249, 602, 2021, 723, 2451, 741, 1318, 995, 1747, 538, 519, 1753, 269, 6270, 7440, 616, 5187, 2065, 543, 4636, 20243, 855, 2021, 616, 2523, 7925, 547, 519, 25197, 566, 602, 952, 2486, 814, 2042, 267, 922, 1317, 2021, 616, 660, 14637, 2614, 3034, 1765, 294, 15869, 4446, 1276, 630, 736, 628, 2540, 994, 24685, 519, 1806, 602, 594, 1934, 3142, 538, 540, 1018, 594, 723, 1496, 1348, 3910, 4862, 267, 2944, 610, 1767, 267, 594, 723, 1201, 11712, 689, 29412, 547, 7369, 1256, 519, 10545, 543, 1034, 967, 27075, 6381, 269, 3733, 25903, 535, 1023, 5809, 711, 606, 1775, 7974, 282, 585, 1250, 1702, 594, 3112, 2626, 3034, 1765, 31466, 3559, 632, 8053, 5218, 324, 630, 14631, 25628, 10844, 264, 0, 292, 340, 4759, 2829, 1404, 513, 2565, 1909, 538, 519, 8446, 267, 6604, 267, 543, 4027, 540, 9601, 540, 19338, 543, 519, 31989, 540, 10419, 21116, 269, 4706, 9601, 616, 1004, 945, 616, 7142, 547, 2951, 883, 519, 552, 340, 585, 4638, 14226, 267, 585, 1418, 19338, 267, 610, 547, 1831, 6469, 10437, 267, 1851, 269, 634, 552, 340, 781, 3609, 585, 8396, 1154, 1480, 19338, 538, 5045, 543, 5045, 3887, 770, 607, 807, 1058, 581, 811, 4143, 547, 519, 2115, 540, 519, 3148, 267, 543, 513, 4195, 269, 3004, 16751, 538, 1480, 7919, 568, 513, 2518, 7613, 543, 4386, 538, 1034, 538, 519, 2796, 540, 1699, 28357, 543, 9194, 3157, 1369, 519, 552, 340, 1480, 269, 3004, 16751, 538, 1480, 7919, 1070, 740, 601, 2088, 23984, 553, 630, 20139, 8116, 1996, 19338, 538, 5359, 616, 2139, 538, 2407, 593, 519, 10250, 3896, 281, 5291, 2517, 10177, 576, 268, 1788, 15710, 563, 763, 24067, 10243, 814, 5950, 513, 1867, 602, 2982, 513, 1164, 1377, 540, 7142, 1480, 19338, 2066, 519, 24067, 9769, 936, 476, 1428, 267, 1822, 269, 13335, 540, 519, 552, 340, 781, 4831, 13652, 16751, 4507, 538, 519, 24141, 2796, 267, 519, 1995, 1500, 676, 23356, 657, 2324, 609, 9601, 540, 19338, 269, 5274, 19338, 538, 21570, 568, 513, 6237, 23314, 540, 519, 9962, 2259, 540, 4123, 538, 3425, 519, 12900, 540, 519, 865, 341, 2884, 9769, 814, 1044, 4857, 607, 835, 540, 519, 1292, 7700, 2188, 538, 7713, 519, 2487, 2333, 538, 1480, 19338, 269, 744, 19338, 538, 519, 1158, 1299, 538, 519, 552, 340, 3040, 1239, 543, 3466, 522, 552, 340, 3656, 5943, 3040, 533, 2181, 3685, 3040, 533, 2889, 339, 1254, 3040, 533, 2889, 15582, 522, 824, 3609, 7341, 3040, 552, 340, 4550, 563, 11073, 540, 519, 2698, 1297, 540, 476, 279, 3199, 267, 1822, 7142, 2978, 537, 516, 3464, 538, 24067, 9769, 4759, 891, 4681, 616, 5812, 609, 519, 476, 1220, 280, 796, 617, 322, 1867, 593, 19338, 538, 269, 4340, 547, 519, 8087, 6082, 543, 519, 14643, 540, 21570, 267, 1480, 19338, 568, 519, 1369, 519, 24067, 9769, 267, 972, 729, 513, 1463, 633, 593, 19338, 538, 476, 1001, 272, 11783, 6258, 811, 1480, 19338, 538, 519, 552, 340, 593, 519, 8317, 540, 519, 552, 340, 781, 4550, 268, 19338, 1554, 593, 12311, 11888, 476, 1240, 12354, 3426, 269, 1703, 781, 1100, 16069, 519, 2095, 540, 20404, 1765, 322, 1643, 569, 711, 609, 4031, 267, 6862, 609, 3527, 1996, 519, 1159, 10212, 6840, 713, 568, 1946, 519, 24067, 9769, 781, 1544, 269, 16393, 581, 18808, 609, 593, 513, 24067, 1377, 543, 1018, 2010, 540, 7965, 713, 17161, 281, 1480, 19338, 267, 14382, 3191, 3609, 267, 24067, 9769, 563, 763, 10243, 786, 1867, 1169, 476, 273, 1296, 593, 519, 3356, 552, 340, 2477, 1118, 593, 8165, 1480, 19338, 267, 609, 519, 1101, 16516, 585, 476, 1001, 275, 269, 5274, 19338, 814, 25487, 539, 936, 519, 2250, 8717, 538, 21570, 607, 811, 20404, 4283, 519, 11782, 1896, 2477, 538, 7013, 21570, 269, 634, 24067, 10243, 814, 1572, 593, 4759, 2829, 547, 3986, 13753, 593, 8375, 1480, 19338, 3330, 519, 552, 340, 267, 8387, 5143, 269, 1284, 946, 513, 5063, 2139, 24067, 9769, 19976, 3444, 5991, 1049, 1239, 1305, 547, 3313, 519, 2188, 602, 1860, 519, 2557, 540, 19338, 538, 513, 563, 292, 340, 1867, 29808, 602, 1453, 723, 1831, 9053, 3077, 585, 7803, 14228, 338, 8015, 6161, 936, 5215, 540, 1295, 832, 7106, 8960, 689, 269, 25480, 267, 476, 2735, 276, 476, 274, 621, 568, 4502, 11291, 532, 602, 2376, 476, 276, 263, 274, 264, 540, 519, 552, 340, 22497, 540, 4909, 2924, 2829, 519, 1739, 281, 968, 10177, 16751, 538, 1480, 7919, 568, 19275, 269, 8178, 525, 519, 4567, 543, 946, 540, 24067, 25710, 571, 16751, 1876, 851, 25831, 12116, 519, 24067, 9769, 630, 15710, 264, 1463, 633, 593, 28530, 19338, 538, 21570, 543, 875, 621, 269, 7054, 2088, 547, 323, 528, 13960, 267, 519, 552, 340, 11285, 538, 519, 2361, 540, 4831, 13652, 16751, 585, 3486, 3919, 585, 9194, 630, 334, 574, 1070, 25887, 602, 18864, 568, 269, 1715, 1239, 5950, 676, 519, 24067, 10243, 814, 3254, 602, 972, 941, 476, 1428, 267, 279, 5379, 10805, 9601, 540, 1004, 19338, 538, 519, 24067, 563, 292, 1755, 31673, 267, 476, 1220, 280, 267, 476, 1321, 3817, 713, 1249, 1606, 18694, 3947, 513, 2489, 7650, 540, 19338, 538, 1480, 7919, 267, 609, 513, 1808, 1445, 2390, 519, 24067, 9769, 2687, 547, 269, 5274, 19338, 568, 513, 1480, 2924, 18670, 5473, 3196, 267, 12611, 543, 28170, 542, 968, 514, 21570, 267, 543, 1454, 547, 519, 5491, 540, 519, 24067, 9769, 2223, 269, 3004, 16751, 538, 1480, 7919, 568, 513, 18205, 18670, 540, 4909, 1480, 2924, 543, 606, 5393, 829, 5371, 1190, 543, 3810, 29988, 1106, 540, 30427, 22555, 563, 10403, 3350, 540, 1004, 1369, 519, 24067, 9769, 568, 1373, 1519, 5061, 267, 1480, 19338, 9601, 892, 1373, 16865, 883, 519, 20410, 269, 0, 5141, 3151, 519, 4008, 13230, 7934, 1131, 2759, 6710, 1851, 2324, 2021, 543, 741, 3885, 676, 811, 982, 3368, 543, 1039, 1269, 276, 1724, 5479, 547, 519, 3084, 4346, 2021, 949, 711, 3914, 2628, 26027, 2394, 476, 13078, 280, 543, 585, 2021, 540, 2681, 621, 781, 1256, 8338, 281, 1010, 13732, 2021, 949, 7227, 2394, 476, 23417, 274, 3109, 2021, 949, 7227, 2394, 476, 18891, 275, 585, 3160, 2628, 269, 6820, 4008, 7934, 1867, 476, 1001, 276, 910, 1158, 2804, 8468, 269, 9483, 2773, 267, 561, 5064, 1153, 540, 9297, 543, 8998, 585, 519, 9297, 540, 2069, 3045, 320, 642, 793, 3421, 568, 513, 9972, 32082, 538, 519, 9297, 540, 2069, 693, 269, 6736, 7521, 936, 519, 3123, 540, 519, 4008, 2628, 7934, 267, 1082, 4966, 3858, 1377, 532, 621, 786, 3142, 2804, 2640, 563, 20809, 476, 1001, 279, 4123, 7934, 568, 1269, 26341, 5479, 694, 4697, 476, 276, 267, 476, 1001, 279, 519, 721, 10865, 3486, 4123, 17211, 2799, 538, 5104, 569, 476, 1001, 279, 2687, 547, 519, 721, 17531, 540, 2804, 2079, 543, 519, 721, 14829, 17531, 269, 634, 1296, 689, 519, 1439, 540, 1158, 2112, 13797, 883, 519, 476, 3192, 271, 338, 941, 3283, 540, 8101, 2804, 2208, 543, 17618, 3838, 13884, 4098, 538, 519, 476, 3192, 271, 338, 267, 2804, 2208, 30281, 543, 519, 4747, 7934, 11097, 2989, 269, 7621, 325, 600, 7125, 585, 2962, 593, 7934, 607, 5763, 5006, 1004, 5531, 693, 1158, 2804, 8468, 538, 546, 822, 657, 269, 4595, 519, 476, 1001, 277, 9550, 267, 519, 851, 16388, 2804, 6788, 7934, 20196, 568, 267, 519, 3017, 1063, 14081, 753, 685, 543, 24339, 1846, 685, 4879, 540, 519, 4346, 779, 4287, 4586, 30356, 7934, 10530, 910, 476, 272, 519, 7934, 538, 938, 4346, 568, 1063, 1018, 649, 723, 543, 1018, 649, 1589, 649, 11129, 547, 723, 910, 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 ]
[ 4095, 25865, 571, 2965, 2061, 519, 3262, 540, 2068, 21307, 11538, 23224, 267, 1256, 538, 4683, 7740, 267, 865, 741, 28252, 1419, 29387, 338, 741, 8594, 269, 1717, 267, 2484, 1447, 5906, 20641, 849, 957, 547, 1852, 11641, 5095, 267, 899, 16015, 563, 3725, 696, 3796, 20818, 606, 1271, 2638, 593, 5521, 543, 887, 4823, 5095, 269, 2368, 540, 519, 1034, 9006, 10535, 15315, 538, 519, 1158, 971, 607, 519, 4095, 25865, 571, 2965, 2061, 519, 3262, 540, 2068, 21307, 11538, 23224, 267, 1256, 538, 4683, 7740, 267, 865, 741, 28252, 1419, 29387, 338, 741, 8594, 269, 1717, 267, 2484, 1447, 5906, 20641, 849, 957, 547, 1852, 11641, 5095, 563, 3725, 696, 3796, 616, 1336, 782, 936, 519, 1158, 538, 513, 2647, 3099, 540, 9249, 269, 4107, 16015, 2249, 616, 12748, 267, 2713, 538, 4703, 540, 1216, 8151, 689, 1507, 22253, 543, 536, 9233, 547, 1804, 12647, 543, 8933, 269, 589, 1906, 616, 14553, 18714, 630, 339, 677, 334, 2478, 1070, 543, 1866, 7941, 741, 942, 1063, 2244, 543, 1216, 563, 7212, 16015, 607, 513, 1895, 616, 17618, 7856, 267, 1142, 2249, 814, 513, 9053, 7226, 543, 568, 25864, 1336, 11992, 269, 1280, 1383, 267, 1312, 519, 575, 9372, 12475, 18857, 630, 294, 9372, 639, 25168, 1335, 639, 264, 543, 519, 8109, 4216, 14854, 630, 24404, 1905, 2940, 1286, 565, 2088, 264, 2661, 538, 519, 7013, 2136, 2276, 543, 616, 8449, 18714, 267, 855, 789, 616, 711, 2356, 1336, 1927, 267, 607, 519, 4216, 14854, 27422, 5848, 4104, 1247, 519, 575, 9372, 12475, 18857, 27422, 1930, 3574, 4133, 593, 5070, 31393, 563, 763, 11068, 1633, 3911, 26743, 9941, 9917, 961, 14854, 7610, 1080, 1804, 8933, 543, 12535, 1141, 5070, 610, 16095, 568, 10731, 269, 901, 2249, 568, 1134, 9280, 585, 606, 12748, 1272, 267, 609, 513, 6366, 267, 5180, 267, 5347, 5580, 7387, 4988, 609, 2960, 282, 1357, 5523, 19462, 282, 543, 513, 1279, 267, 8685, 983, 2879, 719, 602, 3252, 899, 513, 2879, 1251, 601, 563, 289, 1633, 532, 781, 570, 4669, 956, 616, 10859, 8584, 638, 1738, 543, 2661, 538, 13719, 12647, 267, 22253, 267, 543, 19126, 269, 9453, 741, 16506, 18610, 4248, 2081, 267, 16015, 543, 782, 20641, 1131, 581, 538, 18205, 8594, 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 ]
[ 763, 19309, 4928, 2238, 563, 421, 360, 502, 26033, 481, 22746, 2238, 6445, 519, 5624, 602, 1031, 547, 581, 4666, 942, 971, 607, 7996, 585, 18825, 547, 12446, 585, 513, 12899, 5870, 563, 18713, 505, 419, 374, 356, 16498, 2534, 1281, 519, 1560, 1434, 267, 543, 972, 781, 3395, 2963, 602, 621, 2337, 519, 2634, 1932, 563, 421, 360, 502, 26033, 481, 310, 904, 540, 6575, 262, 5009, 938, 4346, 6575, 2534, 7569, 606, 4745, 270, 3712, 29193, 4674, 563, 421, 360, 502, 26033, 481, 31807, 868, 517, 1930, 2777, 1299, 533, 822, 559, 542, 6575, 8998, 568, 2027, 1317, 621, 3091, 7499, 543, 2686, 2238, 563, 18713, 505, 419, 374, 356, 293, 656, 6470, 5731, 8864, 1223, 581, 2808, 513, 12402, 547, 4952, 543, 1554, 323, 3195, 267, 3602, 553, 10338, 568, 519, 12402, 547, 1450, 707, 2247, 547, 1831, 12842, 538, 606, 2534, 1107, 547, 2628, 2347, 3007, 547, 519, 17915, 543, 519, 2833, 563, 26033, 481, 419, 510, 498, 6546, 2186, 540, 2534, 2306, 621, 1447, 2693, 602, 519, 5480, 781, 3664, 786, 581, 7608, 607, 31717, 21520, 563, 10429, 511, 419, 374, 356, 2691, 1004, 579, 1777, 1229, 513, 7301, 3125, 267, 519, 3744, 8068, 513, 16802, 540, 2534, 538, 741, 993, 17789, 323, 8403, 563, 10429, 511, 419, 374, 356, 5445, 4225, 1875, 14092, 27854, 2238, 563, 18713, 505, 419, 374, 356, 763, 5171, 1142, 11739, 696, 538, 519, 8257, 585, 1079, 17334, 543, 941, 5402, 16913, 609, 2553, 602, 6743, 693, 519, 2534, 540, 741, 12058, 563, 421, 360, 502, 26033, 481, 2005, 781, 1360, 2693, 602, 596, 3513, 1616, 547, 723, 13538, 547, 948, 609, 519, 3919, 781, 2238, 563, 10429, 511, 419, 374, 356, 306, 3273, 1513, 24633, 602, 19778, 781, 2797, 20847, 1223, 20747, 519, 11984, 1063, 4108, 543, 19742, 2238, 1279, 1354, 519, 11782, 781, 21308, 2097, 909, 585, 556, 10864, 582, 2747, 267, 2523, 538, 2694, 540, 19778, 602, 616, 4998, 585, 18448, 532, 630, 1412, 2073, 17276, 489, 355, 16043, 359, 264, 6786, 689, 15408, 610, 1427, 27965, 9682, 1949, 267, 5732, 7393, 2518, 5907, 4987, 4238, 563, 421, 360, 502, 26033, 481, 29613, 958, 267, 519, 1062, 1131, 2995, 721, 950, 547, 3082, 1480, 2238, 602, 616, 11319, 606, 5117, 4724, 513, 15059, 563, 421, 360, 502, 26033, 481, 3086, 267, 519, 2242, 538, 1310, 17469, 2238, 713, 3018, 563, 10429, 511, 419, 374, 356, 288, 2603, 540, 519, 2229, 10229, 814, 1044, 827, 1367, 5539, 267, 855, 2965, 1620, 602, 6704, 568, 1360, 1454, 827, 519, 1514, 2534, 543, 4466, 2081, 547, 948, 1762, 1004, 1205, 1753, 9108, 543, 711, 1439, 909, 538, 6413, 568, 835, 540, 519, 555, 454, 421, 360, 502, 26033, 481, 26581, 7434, 2238, 948, 1832, 1426, 3103, 7123, 563, 421, 360, 502, 26033, 481, 1103, 519, 811, 982, 2947, 1296, 2094, 670, 20087, 3459, 1200, 2238, 267, 1352, 814, 4607, 513, 2603, 540, 9299, 2478, 563, 421, 360, 502, 26033, 481, 15152, 642, 320, 650, 656, 267, 519, 3173, 3379, 519, 2367, 781, 2790, 268, 8234, 8464, 609, 741, 7911, 3125, 268, 13808, 8464, 609, 741, 7911, 3125, 268, 13808, 8464, 563, 18713, 505, 419, 374, 356, 19445, 2029, 849, 2306, 621, 4443, 585, 1004, 547, 1071, 268, 15453, 741, 2238, 1510, 759, 15659, 547, 15796, 563, 421, 360, 502, 26033, 481, 17829, 945, 1185, 2944, 519, 1034, 7911, 3125, 2238, 941, 7466, 607, 2693, 547, 723, 3636, 1894, 609, 513, 2647, 3099, 540, 1004, 267, 2947, 2053, 607, 2693, 547, 581, 1134, 6976, 543, 476, 1626, 2053, 1447, 2693, 547, 723, 1044, 32014, 563, 421, 360, 502, 26033, 481, 2691, 19393, 1020, 2238, 585, 6107, 2853, 543, 950, 7328, 3906, 1374, 6107, 1606, 1636, 3292, 267, 789, 1590, 2015, 519, 29943, 540, 20982, 1404, 543, 20982, 2259, 563, 421, 360, 502, 26033, 481, 763, 1034, 6654, 3364, 568, 602, 972, 568, 1454, 811, 2534, 538, 519, 10754, 982, 538, 513, 6093, 2475, 2749, 563, 26033, 481, 419, 510, 498, 293, 541, 1447, 1978, 267, 2705, 267, 568, 875, 6707, 4966, 543, 17531, 13062, 1846, 666, 2824, 938, 9263, 2516, 543, 27464, 741, 2238, 538, 4075, 6681, 8846, 563, 10429, 511, 419, 374, 356, 2005, 6920, 602, 2804, 2238, 538, 519, 772, 2529, 269, 723, 2799, 563, 10429, 511, 419, 374, 356, 7021, 519, 2250, 1079, 1296, 267, 519, 5515, 593, 20558, 543, 18666, 3100, 711, 547, 5365, 513, 5595, 1673, 760, 21748, 1107, 513, 17105, 7771, 538, 519, 3376, 1377, 540, 2804, 2534, 538, 519, 2136, 2276, 1107, 855, 606, 2804, 7269, 563, 421, 360, 502, 26033, 481, 10673, 1405, 7340, 547, 3247, 676, 533, 6680, 2257, 4099, 781, 4558, 1247, 596, 616, 1934, 547, 4584, 909, 513, 8748, 2257, 2534, 610, 3314, 707, 3643, 563, 421, 360, 502, 26033, 481, 4517, 796, 680, 10165, 1480, 2238, 723, 9863, 519, 2856, 540, 1283, 16365, 1852, 676, 1283, 11975, 547, 581, 3020, 563, 421, 360, 502, 26033, 481, 288, 1353, 2982, 519, 1053, 945, 616, 7722, 538, 1310, 17469, 2238, 616, 18668, 982, 1346, 945, 616, 711, 563, 421, 360, 502, 26033, 481, 296, 5143, 1864, 827, 519, 1082, 2238, 538, 799, 594, 729, 3238, 563, 26033, 481, 419, 510, 498, 1103, 1004, 945, 6060, 1164, 538, 513, 1449, 540, 5778, 339, 6291, 267, 513, 7209, 10155, 2404, 609, 1582, 23655, 1145, 543, 4160, 267, 3750, 3346, 15427, 811, 2534, 2404, 609, 21084, 267, 2687, 547, 519, 1710, 333, 880, 11001, 808, 926, 554, 2884, 534, 523, 543, 9164, 563, 18713, 505, 419, 374, 356, 1432, 267, 1287, 267, 616, 519, 2360, 540, 3206, 827, 942, 538, 891, 1114, 2081, 286, 6496, 835, 1118, 721, 811, 11327, 286, 14568, 693, 519, 4247, 693, 1688, 286, 19732, 1512, 286, 769, 6901, 5342, 676, 23111, 541, 2997, 6339, 543, 14732, 6441, 320, 675, 590, 749, 1512, 267, 789, 1185, 5171, 10891, 1114, 2238, 31539, 1788, 4058, 267, 9702, 10918, 267, 547, 10649, 1765, 2421, 942, 610, 547, 28273, 1592, 547, 2268, 875, 789, 5340, 896, 9219, 942, 5288, 4305, 942, 563, 421, 480, 352, 18263, 486, 8147, 23284, 30244, 11590, 505, 21251, 12571, 490, 7511, 25913, 19764, 493, 26233, 507, 26033, 481, 28793, 25426, 368, 25263, 504, 11590, 356, 13200, 509, 10524, 478, 18263, 486, 25051, 365, 417, 497, 491, 417, 495, 351, 5405, 509, 22047, 420, 25693, 18777, 358, 16043, 495, 10524, 361, 418, 505, 368, 20069, 10533, 486, 27064, 485, 12571, 501, 5405, 509, 418, 505, 368, 417, 354, 377, 17295, 364, 14395, 490, 29873, 19867, 489, 14035, 368, 7511, 10524, 375, 20693, 350, 5405, 509, 418, 505, 368, 417, 379, 360, 18263, 494, 7511, 5405, 509, 21928, 307, 600, 541, 2997, 6339, 25520, 2304, 928, 19846, 590, 749, 1512, 13213, 505, 27310, 7511, 14395, 508, 421, 359, 490, 18809, 8147, 10524, 500, 10524, 361, 18777, 358, 9463, 480, 4970, 492, 26033, 483, 14756, 482, 14756, 485, 21251, 12571, 490, 7511, 418, 368, 375, 20693, 357, 8147, 10524, 492, 421, 350, 373, 25203, 362, 25335, 482, 10254, 496, 18998, 417, 479, 485, 20721, 354, 420, 368, 511, 29830, 358, 28996, 418, 490, 487, 28793, 25426, 368, 16043, 500, 23523, 483, 20693, 508, 11590, 489, 421, 350, 373, 28578, 23989, 13213, 505, 27310, 419, 495, 506, 25263, 377, 8147, 23284, 16141, 350, 19404, 493, 10524, 500, 10524, 361, 21928, 28793, 421, 496, 509, 28793, 25426, 368, 25520, 10524, 375, 20693, 350, 28793, 25426, 368, 31284, 7511, 23989, 27064, 364, 25707, 10429, 511, 419, 374, 356, 2791, 666, 4952, 2147, 5686, 540, 7317, 2238, 2059, 3140, 3515, 2437, 899, 1739, 519, 15213, 20417, 538, 11785, 267, 7905, 667, 27827, 1767, 563, 421, 360, 502, 26033, 481, 8253, 2394, 5063, 1705, 789, 5000, 519, 1646, 540, 15805, 5829, 2238, 538, 519, 6917, 2127, 563, 26033, 481, 419, 510, 498, 3383, 267, 1018, 17394, 729, 13288, 547, 729, 602, 1247, 12654, 814, 1044, 519, 1034, 1455, 1505, 585, 7893, 519, 2804, 2534, 540, 6082, 2073, 607, 513, 2268, 2073, 621, 568, 1100, 3476, 2614, 563, 10429, 511, 419, 374, 356, 5415, 982, 513, 2540, 814, 5293, 2094, 17701, 986, 1027, 547, 2030, 741, 17514, 693, 519, 5377, 540, 519, 1158, 267, 543, 585, 5756, 547, 2097, 713, 11782, 568, 9277, 547, 581, 6870, 607, 513, 3621, 8190, 267, 13104, 539, 689, 703, 6350, 687, 899, 4108, 2238, 543, 5599, 563, 26033, 481, 419, 510, 498, 3719, 538, 3735, 5181, 476, 1220, 280, 267, 8387, 4080, 972, 729, 1713, 2770, 2534, 538, 3592, 1169, 1533, 543, 602, 12303, 782, 519, 5439, 7318, 616, 519, 1007, 2220, 710, 2770, 267, 849, 1634, 607, 589, 670, 272, 301, 272, 267, 711, 12119, 2770, 563, 18713, 505, 419, 374, 356, 2691, 6091, 1685, 606, 2534, 789, 5749, 1405, 5781, 16616, 547, 267, 519, 6263, 11103, 602, 616, 3330, 873, 616, 1373, 14324, 6306, 563, 10429, 511, 419, 374, 356, 301, 1157, 3131, 802, 267, 1788, 8689, 585, 8693, 20348, 10846, 267, 11099, 713, 4990, 540, 2534, 568, 1141, 519, 2104, 540, 2825, 2962, 6013, 563, 421, 360, 502, 26033, 481, 2691, 3238, 538, 20982, 1404, 2238, 267, 1453, 616, 1447, 7255, 609, 519, 6364, 540, 741, 2623, 2436, 789, 3094, 610, 6336, 982, 609, 519, 2623, 2348, 1187, 563, 421, 360, 502, 26033, 481, 21609, 3125, 2238, 948, 513, 1126, 1020, 5539, 267, 7115, 267, 6015, 543, 16169, 910, 519, 24598, 25751, 540, 3929, 1072, 269, 0, 763, 2487, 24925, 12405, 538, 4000, 723, 4299, 968, 1478, 1079, 2929, 1004, 892, 1813, 547, 17160, 543, 19774, 936, 476, 4335, 267, 1822, 1866, 267, 519, 10615, 540, 15051, 540, 519, 2622, 7813, 630, 310, 289, 264, 538, 594, 341, 800, 11076, 267, 5484, 514, 267, 570, 690, 334, 267, 543, 19892, 267, 4856, 531, 773, 2983, 951, 814, 1767, 563, 24685, 2250, 4374, 267, 972, 723, 1044, 5230, 22856, 538, 519, 3148, 543, 585, 713, 2063, 24925, 4005, 4805, 267, 972, 941, 811, 982, 1079, 2929, 9568, 9601, 538, 4000, 267, 972, 941, 849, 1082, 7972, 2223, 15516, 269, 4856, 531, 773, 2983, 951, 729, 6340, 593, 13723, 538, 2806, 573, 13568, 593, 519, 8317, 540, 519, 13636, 10985, 873, 539, 2048, 8139, 24093, 538, 4639, 543, 6239, 4000, 19028, 763, 10554, 267, 799, 3217, 1747, 593, 5437, 476, 736, 268, 2420, 267, 476, 1001, 280, 538, 2806, 573, 13568, 267, 729, 8118, 676, 15751, 2549, 747, 807, 267, 519, 594, 341, 20187, 10579, 585, 519, 4975, 267, 8204, 519, 10579, 540, 5842, 2787, 543, 2657, 1465, 267, 14732, 744, 592, 9369, 563, 4415, 936, 476, 280, 267, 1822, 2818, 267, 4197, 24093, 568, 513, 2146, 540, 4966, 543, 9439, 689, 1472, 519, 1158, 2324, 538, 519, 2361, 540, 9568, 1981, 2359, 543, 6604, 269, 901, 1032, 267, 789, 616, 10356, 547, 5385, 5784, 593, 519, 6249, 968, 14549, 13317, 543, 16743, 267, 519, 32010, 10414, 3297, 26504, 3034, 1607, 8468, 568, 606, 5385, 543, 4687, 540, 3435, 585, 4639, 543, 6239, 4000, 547, 1732, 2061, 2067, 12469, 602, 723, 3361, 1713, 3441, 538, 2487, 5756, 538, 891, 4525, 269, 898, 6663, 547, 22412, 622, 1434, 2853, 593, 519, 4220, 540, 2067, 12469, 563, 2005, 1058, 1450, 267, 2687, 547, 15516, 269, 2983, 951, 267, 519, 946, 540, 1007, 4066, 547, 17108, 519, 2504, 1184, 543, 4483, 540, 3435, 585, 9568, 1981, 267, 543, 7520, 1312, 519, 2792, 543, 7664, 540, 18563, 593, 7047, 2762, 563, 9213, 267, 476, 4029, 2600, 540, 519, 4639, 3979, 2551, 2729, 593, 519, 23795, 267, 799, 8309, 547, 968, 6321, 2600, 540, 519, 14407, 6469, 1587, 892, 540, 891, 2477, 269, 4340, 547, 2622, 7813, 2090, 267, 968, 22336, 1032, 267, 570, 690, 334, 267, 595, 1774, 546, 685, 296, 17383, 790, 267, 7354, 20235, 543, 5484, 514, 6336, 2475, 259, 274, 269, 279, 5479, 630, 273, 267, 26562, 5479, 595, 11902, 21473, 14369, 1040, 7536, 290, 1774, 546, 685, 296, 17383, 790, 267, 519, 1034, 6360, 3613, 4459, 523, 2197, 267, 4503, 5176, 2475, 259, 273, 5479, 630, 272, 267, 6977, 5479, 595, 11902, 21473, 14369, 264, 538, 476, 1001, 278, 267, 607, 513, 1267, 540, 17160, 269, 11153, 3275, 3516, 267, 9381, 11761, 10032, 519, 700, 1695, 537, 11860, 335, 7701, 28200, 630, 338, 1926, 1070, 1141, 519, 4262, 1266, 5285, 539, 519, 30401, 563, 16391, 1242, 676, 519, 2622, 7813, 609, 519, 1489, 540, 519, 3864, 5742, 267, 543, 538, 11450, 609, 519, 594, 341, 20187, 2229, 267, 713 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 24479, 4199, 267, 8143, 2126, 12254, 529, 22119, 1177, 717, 636, 340, 22119, 320, 265, 8575, 22119, 326, 528, 345, 1092, 13100, 2532, 3298, 6390, 4149, 559, 1513, 6390, 1262, 631, 7419, 2975, 7709, 3201, 654, 3008, 15288, 570, 3918, 2969, 16774, 15760, 8946, 2207, 300, 3201, 631, 24518, 7495, 306, 11123, 717, 2894, 2207, 9569, 5508, 16777, 2969, 6730, 661, 22268, 30278, 14510, 901, 1353, 9607, 519, 1883, 2152, 2404, 609, 18513, 3653, 12871, 538, 519, 2796, 540, 1648, 5108, 269, 2290, 9522, 666, 581, 9927, 1256, 883, 476, 273, 267, 277, 24448, 4501, 503, 327, 630, 271, 267, 277, 24448, 4501, 503, 327, 552, 282, 476, 273, 24448, 4501, 503, 6255, 1040, 4004, 531, 3653, 602, 568, 547, 581, 8143, 8246, 1058, 723, 1608, 528, 881, 1871, 540, 711, 1447, 982, 476, 276, 3199, 271, 737, 297, 21515, 269, 901, 7274, 568, 519, 3970, 585, 1582, 8781, 1184, 540, 3653, 267, 602, 1797, 1510, 1022, 3606, 4492, 269, 4107, 1271, 8984, 540, 18497, 3653, 568, 519, 1249, 602, 621, 2882, 476, 2004, 260, 540, 27500, 2527, 602, 2501, 689, 15591, 630, 4596, 273, 1040, 634, 3666, 540, 3327, 8166, 12998, 676, 2870, 543, 8781, 540, 519, 2527, 568, 4061, 13476, 9243, 269, 6736, 713, 1142, 4087, 2709, 540, 3653, 1651, 10719, 908, 2030, 538, 12996, 3123, 1857, 17600, 269, 6271, 8423, 27128, 3815, 540, 1646, 540, 3653, 1651, 10719, 908, 2371, 616, 1164, 5092, 18820, 543, 3351, 5314, 269, 15020, 3730, 568, 772, 292, 15713, 896, 24486, 543, 5113, 7358, 1049, 5358, 6996, 269, 901, 13564, 344, 6227, 909, 547, 3592, 476, 2568, 260, 540, 5092, 18820, 269, 476, 272, 269, 21850, 29767, 7201, 519, 10566, 6034, 1161, 267, 12996, 11129, 547, 3648, 3970, 519, 5666, 540, 18513, 3653, 546, 22981, 593, 519, 546, 18804, 4609, 269, 23299, 547, 16783, 609, 713, 7939, 786, 4125, 5458, 22717, 547, 581, 6976, 267, 2179, 532, 547, 476, 7742, 8536, 20789, 3232, 269, 2311, 519, 4090, 607, 1454, 607, 476, 4817, 260, 540, 519, 476, 1015, 268, 1556, 2929, 19726, 540, 18513, 3653, 3812, 21496, 538, 12996, 568, 546, 22981, 593, 519, 546, 18804, 4609, 1547, 17904, 17883, 568, 519, 2707, 540, 29746, 3154, 267, 5627, 827, 476, 2004, 260, 540, 15655, 267, 799, 568, 513, 2707, 540, 1648, 2943, 693, 519, 1482, 942, 606, 23292, 3154, 267, 4171, 9295, 547, 519, 8511, 1198, 568, 4956, 569, 630, 736, 24670, 264, 811, 1713, 602, 602, 540, 2910, 273, 269, 26365, 2126, 540, 4396, 3653, 568, 513, 811, 2500, 1259, 540, 3653, 2359, 982, 2504, 540, 15655, 3154, 267, 4758, 721, 1312, 5201, 543, 3002, 269, 769, 519, 2025, 9167, 2477, 267, 936, 476, 278, 260, 540, 1648, 689, 7791, 2959, 568, 5833, 538, 602, 6073, 269, 27391, 531, 3653, 3587, 513, 3407, 2707, 540, 1648, 267, 835, 9522, 928, 540, 3653, 949, 6556, 827, 476, 273, 269, 277, 24448, 6440, 327, 267, 1519, 476, 271, 269, 277, 24448, 6440, 327, 322, 543, 476, 273, 24448, 6440, 6255, 269, 2986, 1880, 2956, 568, 519, 5888, 540, 18513, 3653, 269, 769, 930, 2665, 27500, 6219, 267, 3812, 607, 654, 11770, 345, 807, 22119, 769, 385, 376, 2106, 1512, 4512, 11115, 545, 345, 928, 329, 1775, 31584, 344, 7288, 267, 13019, 611, 8598, 717, 6759, 337, 5371, 15605, 6953, 583, 5371, 5633, 267, 620, 269, 589, 269, 631, 1157, 1171, 545, 5633, 476, 1789, 267, 476, 1789, 268, 4962, 280, 918, 21531, 6759, 342, 2878, 654, 11770, 345, 807, 22119, 631, 622, 3901, 26338, 345, 7224, 1107, 674, 714, 26338, 345, 7224, 1107, 3353, 545, 345, 5500, 267, 1133, 328, 9955, 12682, 564, 16677, 698, 690, 545, 345, 5500, 267, 12804, 269, 23093, 577, 528, 384, 483, 385, 376, 344, 577, 476, 273, 267, 476, 1789, 268, 5400, 275, 918, 21531, 6759, 342, 2608, 519, 2164, 540, 15591, 540, 2910, 273, 267, 6589, 585, 5176, 476, 2004, 260, 540, 3653, 269, 2334, 1797, 602, 2910, 273, 5434, 1282, 922, 13674, 616, 7059, 676, 2910, 273, 2530, 1282, 922, 5250, 1547, 476, 273, 269, 11555, 12702, 296, 3918, 300, 19006, 6789, 9215, 654, 3008, 15288, 19532, 3201, 14510, 1703, 616, 1896, 4066, 540, 3653, 12871, 676, 8143, 2409, 269, 634, 1034, 7839, 543, 1134, 2389, 6479, 2029, 3096, 519, 26925, 10480, 609, 22837, 1152, 267, 6220, 513, 3001, 16416, 267, 6366, 610, 1793, 14563, 267, 2011, 268, 610, 1216, 2275, 944, 539, 269, 634, 2147, 2029, 5161, 538, 1071, 2987, 11142, 3130, 540, 3653, 543, 4492, 540, 513, 2362, 1608, 528, 881, 1871, 547, 2087, 519, 4398, 543, 5347, 1145, 540, 519, 13674, 1184, 269, 18766, 689, 891, 1079, 2596, 4066, 267, 972, 616, 1896, 1866, 267, 1759, 593, 7510, 26299, 3974, 267, 3154, 2305, 543, 11919, 3157, 269, 769, 1931, 602, 513, 18513, 3653, 1651, 514, 3130, 2030, 666, 581, 3927, 13234, 1510, 4946, 519, 4492, 540, 1164, 1608, 528, 881, 1871, 267, 621, 568, 2838, 602, 519, 3653, 10480, 547, 519, 15245, 1058, 723, 519, 1608, 528, 881, 1871, 1100, 1447, 982, 476, 276, 3199, 271, 737, 297, 21515, 269, 901, 1377, 568, 519, 3970, 585, 14628, 3653, 1651, 514, 3130, 267, 1141, 1100, 3606, 4492, 540, 2362, 1608, 528, 881, 1871, 568, 2838, 547, 1489, 519, 13674, 1184, 269, 15380, 267, 519, 1608, 528, 881, 1871, 540, 18513, 3653, 8813, 538, 519, 2039, 476, 10384, 271, 268, 8517, 271, 737, 297, 21515, 543, 11148, 547, 4268, 4470, 593, 519, 3653, 1826, 543, 5888, 269, 27391, 531, 3653, 5888, 11148, 547, 4268, 1063, 1367, 2477, 543, 4525, 1141, 519, 3653, 568, 3812, 269, 1280, 1383, 267, 1957, 268, 513, 3407, 5057, 2348, 513, 1434, 1608, 528, 881, 1871, 6589, 585, 5176, 476, 4343, 260, 540, 519, 3653, 2527, 538, 3810, 31465, 2477, 267, 476, 2420, 260, 538, 824, 2919, 2477, 543, 476, 273, 260, 538, 519, 3384, 3283, 269, 1306, 14621, 519, 5214, 2339, 267, 519, 17114, 616, 1175, 9258, 269, 634, 5214, 2339, 6589, 585, 476, 1839, 260, 540, 519, 3653, 2527, 538, 3810, 31465, 2477, 267, 476, 5655, 260, 538, 824, 2919, 2477, 543, 476, 4792, 260, 538, 3384, 3283, 269, 769, 12996, 519, 3328, 2527, 8167, 540, 1957, 538, 519, 6908, 540, 18513, 4396, 3653, 6589, 585, 827, 476, 736, 9077, 538, 11148, 547, 581, 1454, 2362, 538, 2462, 4872, 267, 16042, 476, 736, 10065, 634, 2527, 8167, 540, 5214, 3334, 538, 519, 3003, 2197, 568, 2147, 267, 16042, 476, 3374, 10065, 5015, 267, 519, 1239, 13859, 676, 519, 4659, 540, 17905, 540, 11633, 2213, 19791, 5815, 602, 519, 2179, 540, 3653, 829, 835, 9468, 656, 540, 6917, 2127, 568, 476, 273, 2053, 4130, 602, 519, 2179, 829, 21027, 538, 4683, 2127, 269, 898, 5526, 602, 519, 8167, 540, 18513, 3653, 538, 1804, 4884, 4903, 331, 9593, 725, 543, 538, 3810, 2919, 2477, 568, 3677, 543, 741, 1608, 528, 881, 1871, 2362, 982, 538, 4130, 10034, 543, 538, 3384, 2477, 1496, 272, 267, 273, 4940, 476, 274, 269, 8863, 2752, 3722, 9898, 3041, 12087, 5508, 654, 3008, 15288, 570, 3918, 2969, 16774, 15760, 8946, 2207, 300, 3201, 631, 24518, 7495, 306, 4107, 4066, 540, 18513, 3653, 1651, 514, 3130, 3351, 1047, 519, 1739, 1184, 6191, 543, 19698, 281, 910, 26925, 1141, 18513, 3653, 568, 1651, 10719, 730, 543, 9252, 3812, 282, 910, 513, 17081, 10198, 6220, 513, 9252, 17081, 543, 606, 3167, 11718, 282, 910, 3002, 9401, 13377, 22151, 3002, 547, 519, 2749, 1292, 338, 282, 1166, 826, 3154, 2126, 19698, 282, 3653, 1216, 2126, 19698, 282, 19698, 585, 9668, 540, 4396, 22016, 689, 519, 13674, 3157, 547, 581, 546, 22981, 593, 519, 546, 18804, 4609, 282, 634, 1034, 7839, 10380, 538, 513, 18513, 3653, 1651, 514, 3130, 2030, 568, 3254, 538, 8431, 476, 272, 269, 2913, 721, 9034, 1047, 13713, 519, 1184, 540, 8143, 2126, 540, 4396, 3653, 269, 634, 3653, 13859, 547, 519, 1651, 514, 3130, 2030, 568, 6740, 538, 519, 3653, 7382, 269, 3973, 519, 6712, 540, 3653, 568, 3144, 856, 267, 6404, 543, 10480, 5196, 519, 16416, 4092, 538, 519, 1651, 514, 3130, 12068, 269, 1879, 519, 1184, 568, 15181, 543, 519, 1651, 514, 3130, 12068, 568, 1869, 1932, 4411, 267, 519, 13674, 1184, 568, 6462, 676, 3154, 6633, 619, 269, 1879, 519, 2837, 538, 519, 1651, 514, 3130, 12068, 3587, 18481, 1164, 547, 1489, 519, 8143, 3157, 267, 519, 3154, 6633, 619, 616, 23564, 1055, 543, 519, 13674, 1184, 5170, 3351, 2358, 1152, 519, 3114, 1648, 8659, 538, 3653, 269, 634, 3002, 689, 3653, 1651, 514, 3130, 568, 1287, 3351, 2213, 547, 3132, 9252, 540, 519, 2837, 1472, 476, 4335, 522, 290, 543, 2604, 540, 519, 1931, 540, 476, 274, 269, 276, 12463, 320, 269, 2201, 6028, 519, 15245, 267, 519, 9252, 10596, 547, 519, 1394, 2604, 17081, 1141, 519, 1648, 540, 9252, 568, 10736, 883, 7344, 1648, 543, 267, 3842, 519, 11718, 267, 883, 5122, 1648, 269, 634, 3002, 540, 9252, 1310, 8429, 998, 519, 17081, 568, 3351, 2213, 538, 2417, 3157, 269, 769, 519, 5162, 942, 621, 568, 2366, 547, 519, 2749, 1292, 338, 543, 538, 519, 4832, 5503, 621, 10596, 547, 519, 10338, 16830, 10198, 799, 3579, 338, 1216, 547, 581, 7856, 538, 519, 2749, 1292, 338, 538, 1931, 547, 2569, 519, 2837, 538, 10821, 543, 4013, 5656, 269, 6215, 698, 568, 519, 21225, 540, 519, 1651, 514, 3130, 1184, 269, 898, 568, 1216, 2275, 944, 539, 547, 9156, 519, 8407, 8659, 538, 519, 1793, 698, 267, 547, 581, 2417, 13381, 269, 634, 13674, 1184, 3217, 1747, 538, 513, 6073, 547, 2327, 519, 31062, 16617, 540, 1166, 30100, 2339, 267, 4553, 676, 1310, 1532, 9506, 269, 4469, 826, 3154, 593, 6028, 519, 15245, 10596, 998, 519, 3167, 12086, 547, 4894, 7452, 543, 1287, 1780, 998, 519, 1085, 745, 25290, 5933, 269, 6969, 519, 1166, 826, 3154, 7575, 547, 519, 10518, 267, 621, 814, 547, 1780, 998, 519, 27857, 1141, 519, 9436, 27911, 543, 1019, 2135, 1231, 616, 10920, 12723, 269, 634, 3653, 1216, 2126, 2030, 568, 1776, 2101, 10380, 538, 519, 1651, 514, 3130, 2030, 269, 17904, 1216, 2126, 3322, 1896, 5933, 2966, 547, 9243, 1047, 543, 4894, 782, 17694, 23608, 538, 519, 13674, 3157, 269, 1452, 17694, 616, 6368, 6569, 689, 519, 3653, 1216, 676, 11159, 566, 538, 23928, 13688, 269, 634, 8143, 2126, 540, 835, 9522, 928, 540, 3653, 11729, 476, 7742, 4846, 540, 4396, 28634, 267, 5627, 1793, 698, 267, 11849, 267, 4496, 29578, 543, 21439, 269, 476, 275, 269, 17649, 2975, 674, 16898, 27633, 1548, 3788, 547, 1865, 267, 568, 519, 1942, 7145, 540, 519, 2898, 23072, 281, 519, 4070, 543, 5106, 540, 513, 3653, 1651, 514, 3130, 2030, 269, 634, 23072, 3340, 5458, 3854, 9541, 693, 519, 3942, 540, 4070, 267, 1419, 8506, 849, 2883, 1489, 538, 519, 1576, 540, 519, 2030, 5106, 607, 519, 19614, 689, 6455, 540, 1648, 543, 519, 12375, 585, 3653, 2359, 949, 711, 581, 6190, 547, 3382, 519, 5665, 3790, 269, 634, 2179, 540, 18513, 3653, 267, 922, 1826, 543, 5888, 267, 519, 2450, 540, 3653, 4015, 1858, 267, 519, 1297, 540, 11317, 616, 519, 1883, 6724, 547, 581, 2808, 693, 519, 4358, 1448, 693, 519, 3942, 540, 1374, 543, 950, 10747, 519, 3854, 9541, 543, 5665, 3790, 540, 519, 2030, 269, 634, 1995, 10356, 547, 4266, 538, 9167, 2477, 11414, 721, 602, 519, 6908, 540, 3653, 540, 476, 1911, 8536, 512, 270, 20204, 568, 6099, 585, 519, 3653, 1651, 514, 3130, 2030, 267, 15029, 519, 8766, 1377, 568, 476, 3199, 8536, 512, 270, 20204, 269, 1717, 267, 972, 616, 2371, 1141, 519, 5666, 540, 3653, 17411, 616, 7357, 1114, 269, 634, 1651, 514, 3130, 2030, 538, 32160, 20362, 476, 2412, 8536, 19726, 540, 3653, 21496, 267, 15029, 519, 6908, 540, 3653, 17411, 676, 519, 18293, 2030, 5666, 547, 476, 10384, 8536, 512, 270, 20204, 269, 634, 1297, 540, 11317, 538, 519, 3653, 4015, 1858, 585, 835, 1651, 514, 3130, 2030, 1058, 2039, 689, 476, 4968, 476, 1822, 547, 476, 6110, 476, 1822, 269, 6348, 935, 845, 640, 609, 1346, 4441, 840, 11079, 519, 2883, 1489, 896, 9167, 15961, 267, 799, 1522, 3382, 909, 547, 476, 2568, 260, 540, 3790, 540, 519, 13055, 267, 607, 5018, 1354, 269, 2913, 721, 1631, 12337, 519, 1942, 13716, 4369, 540, 519, 18513, 3653, 1651, 514, 3130, 2030, 267, 1666, 532, 593, 519, 1739, 10054, 281, 1608, 528, 881, 1871, 540, 519, 18513, 3653, 476, 7785, 271, 737, 297, 21515, 267, 15245, 4398 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 602, 513, 13178, 8254, 693, 513, 7128, 6728, 1185, 9575, 606, 3239, 540, 513, 15293, 6972, 2066, 513, 19526, 7623, 563, 2108, 4263, 1101, 594, 2219, 621, 729, 513, 8038, 610, 26615, 267, 1287, 594, 4718, 519, 7953, 2223, 20229, 20913, 7931, 3266, 1767, 269, 968, 4517, 621, 729, 513, 1480, 269, 1809, 711, 513, 1483, 1480, 269, 3143, 269, 589, 15293, 1848, 0, 1692, 1082, 1004, 723, 13046, 888, 10673, 1406, 1745, 899, 596, 2461, 4805, 269, 570, 11624, 568, 1360, 1455, 269, 6168, 476, 736, 260, 540, 721, 723, 621, 547, 930, 6708, 563, 10666, 476, 3445, 2600, 540, 2665, 2049, 609, 606, 5817, 6217, 2530, 269, 634, 2622, 2657, 25944, 630, 21766, 264, 1631, 8638, 13046, 607, 513, 3982, 4524, 543, 2829, 602, 6846, 4598, 568, 513, 2101, 2014, 540, 8628, 6217, 2530, 1472, 519, 1158, 563, 13146, 1382, 25495, 602, 621, 568, 519, 2034, 1034, 1455, 1106, 540, 6217, 2530, 1310, 2085, 5829, 6217, 2530, 269, 2776, 28700, 4679, 609, 2085, 855, 2833, 540, 621, 616, 1360, 1455, 538, 782, 2085, 2516, 267, 2523, 1739, 4598, 547, 10978, 6846, 563, 10666, 3368, 540, 1346, 945, 2661, 609, 519, 2783, 1265, 621, 26815, 610, 1812, 569, 1253, 7675, 269, 1411, 949, 7985, 27676, 2589, 971, 607, 11816, 640, 267, 4965, 610, 3207, 18063, 269, 898, 666, 581, 14845, 543, 1256, 31029, 950, 621, 4386, 585, 519, 1101, 942, 267, 855, 621, 568, 10355, 513, 10835, 540, 513, 1583, 3930, 4524, 28560, 621, 16569, 585, 3476, 982, 513, 3018, 267, 610, 621, 568, 7133, 707, 5834, 267, 3207, 610, 4160, 2157, 267, 1433, 606, 13393, 609, 707, 13382, 610, 609, 707, 2199, 2817, 24651, 5516, 10748, 328, 6048, 610, 10748, 328, 2210, 2077, 563, 1103, 930, 2665, 267, 519, 1966, 666, 581, 7307, 609, 11005, 5751, 269, 1703, 616, 849, 11285, 6217, 3435, 2139, 602, 666, 1683, 25695, 18565, 547, 16297, 596, 689, 519, 6846, 563, 1432, 15486, 570, 11624, 888, 2005, 781, 711, 606, 4576, 610, 2068, 538, 3294, 267, 621, 568, 1419, 513, 10835, 540, 513, 1966, 609, 519, 1274, 610, 519, 6217, 11444, 547, 519, 2634, 269, 15394, 267, 621, 4386, 950, 519, 6418, 1274, 568, 8697, 610, 15176, 538, 930, 1259, 563, 307, 11624, 666, 581, 3361, 676, 912, 268, 22452, 547, 7050, 10978, 6846, 454, 268, 26184, 2566, 610, 8194, 454, 268, 24651, 2530, 454, 268, 2368, 13310, 267, 543, 1875, 25535, 5524, 6646, 454, 4322, 616, 1175, 513, 1906, 540, 519, 1455, 3123, 267, 855, 621, 666, 849, 581, 513, 2427, 13716, 540, 6646, 610, 513, 1267, 540, 824, 1072, 4145, 267, 971, 607, 1164, 1973, 2604, 269, 898, 568, 849, 4122, 2404, 609, 2085, 5829, 6217, 2530, 267, 4352, 621, 666, 1860, 4896, 693, 1022, 2085, 563, 295, 8960, 589, 1749, 1299, 570, 11624, 454, 295, 8960, 11226, 666, 948, 707, 13046, 607, 789, 4217, 538, 20408, 1022, 5817, 6217, 2530, 269, 1635, 4227, 519, 2179, 540, 3007, 707, 2634, 568, 9878, 547, 519, 13046, 267, 538, 1034, 2665, 6217, 11226, 666, 2285, 596, 930, 8323, 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 ]
[ 284, 1321, 536, 264, 476, 274, 270, 276, 454, 275, 7565, 268, 276, 267, 476, 279, 264, 536, 264, 10174, 476, 1015, 454, 276, 264, 1535, 284, 4375, 5232, 454, 277, 264, 332, 284, 279, 533, 284, 910, 272, 454, 278, 264, 476, 280, 267, 476, 1015, 267, 476, 1556, 454, 279, 264, 1535, 284, 13199, 454, 280, 264, 1535, 317, 274, 268, 1428, 343, 317, 273, 266, 4037, 343, 268, 10219, 454, 1015, 264, 910, 3199, 454, 1556, 264, 27240, 1304, 9474, 815, 910, 276, 270, 273, 267, 27240, 1304, 7460, 284, 476, 273, 270, 276, 454, 1321, 264, 554, 284, 274, 737, 15871, 278, 454, 1724, 264, 1535, 284, 3393, 454, 1691, 264, 476, 274, 320, 284, 274, 513, 284, 272, 536, 7565, 343, 266, 273, 7565, 343, 268, 278, 7565, 343, 268, 274, 994, 1428, 264, 476, 273, 10174, 476, 278, 910, 275, 454, 1626, 264, 594, 3893, 476, 276, 270, 277, 855, 2626, 729, 910, 276, 270, 277, 1317, 621, 729, 1073, 339, 2224, 454, 1704, 264, 737, 815, 476, 280, 454, 1240, 264, 630, 343, 317, 273, 266, 280, 7565, 343, 268, 274, 7565, 343, 266, 274, 994, 866, 264, 476, 274, 1341, 476, 274, 1341, 476, 274, 1341, 476, 274, 10174, 476, 274, 568, 1018, 596, 1205, 585, 9103, 1023, 543, 3815, 1047, 621, 547, 476, 274, 630, 274, 266, 10174, 476, 274, 994, 736, 264, 530, 815, 476, 274, 333, 1317, 586, 946, 25482, 4341, 543, 519, 2626, 815, 476, 272, 270, 274, 30337, 621, 543, 1287, 3815, 1047, 621, 883, 1079, 3435, 855, 2626, 18085, 581, 2942, 865, 922, 562, 284, 342, 270, 274, 543, 530, 284, 274, 333, 865, 1079, 13080, 732, 3160, 543, 579, 1205, 568, 30801, 454, 276, 269, 630, 24314, 2022, 676, 476, 272, 329, 517, 600, 1626, 994, 7224, 267, 621, 781, 910, 3199, 269, 594, 1589, 519, 1449, 729, 9875, 982, 8912, 855, 2822, 2884, 324, 569, 798, 762, 267, 1775, 1589, 1775, 12628, 7436, 593, 519, 25066, 1541, 2572, 1498, 8937, 1540, 563, 5984, 553, 267, 519, 1152, 2243, 1775, 917, 585, 2386, 1775, 3893, 4636, 729, 476, 866, 267, 476, 275, 7436, 4682, 1524, 519, 14629, 563, 277, 269, 1280, 519, 12945, 3815, 2358, 835, 594, 6415, 2386, 621, 1767, 4194, 267, 711, 1175, 3815, 1047, 267, 865, 2899, 594, 1185, 3893, 519, 23049, 594, 1175, 5206, 519, 1614, 2418, 585, 1535, 630, 324, 3052, 269, 952, 630, 343, 268, 274, 264, 729, 538, 513, 31455, 1535, 284, 274, 264, 538, 519, 2626, 2230, 269, 1684, 596, 1589, 602, 568, 15502, 888, 278, 269, 630, 24314, 2022, 676, 11929, 2675, 1415, 1735, 582, 994, 5278, 4267, 594, 3893, 1384, 290, 657, 263, 9064, 3090, 6661, 910, 276, 270, 277, 692, 311, 284, 13199, 585, 519, 835, 602, 729, 899, 630, 274, 268, 10174, 343, 8203, 272, 270, 274, 910, 476, 273, 692, 11583, 268, 276, 8203, 274, 284, 1535, 317, 274, 910, 476, 1428, 343, 317, 273, 1341, 476, 4037, 343, 910, 476, 10219, 692, 4467, 921, 1154, 519, 4009, 281, 630, 311, 266, 274, 8203, 273, 910, 476, 278, 454, 14737, 3065, 1871, 3364, 281, 11196, 274, 16427, 278, 2020, 2690, 18445, 519, 15943, 3364, 267, 538, 20459, 596, 1185, 547, 1397, 621, 729, 476, 274, 263, 274, 266, 10174, 274, 264, 676, 3257, 476, 274, 266, 274, 266, 274, 266, 277, 270, 10174, 274, 266, 274, 270, 10174, 274, 1287, 621, 1500, 476, 280, 266, 280, 270, 10174, 476, 274, 538, 799, 596, 1185, 547, 7787, 1047, 519, 476, 280, 270, 10174, 274, 547, 1205, 476, 280, 10174, 274, 270, 274, 543, 1287, 602, 5795, 15587, 476, 280, 266, 274, 10174, 274, 1287, 596, 1175, 1185, 547, 2322, 621, 538, 23049, 2496, 11276, 7933, 343, 729, 899, 476, 274, 343, 317, 273, 910, 476, 736, 343, 630, 322, 8091, 803, 952, 594, 6415, 4636, 594, 666, 1405, 3833, 3314, 2020, 763, 2473, 270, 312, 3364, 729, 910, 3199, 692, 2467, 729, 835, 1141, 606, 2626, 729, 476, 3393, 630, 16673, 2041, 2473, 284, 3393, 2020, 8489, 596, 1185, 547, 1265, 533, 543, 544, 610, 1945, 621, 729, 476, 279, 543, 910, 272, 692, 28495, 516, 540, 519, 5858, 594, 666, 1405, 3314, 855, 621, 729, 2901, 519, 476, 273, 526, 610, 476, 274, 6113, 4781, 780, 763, 8953, 729, 3597, 1015, 692, 763, 3017, 1063, 476, 273, 10945, 729, 630, 311, 266, 274, 7565, 311, 268, 274, 2020, 2467, 616, 811, 855, 594, 666, 1405, 3833, 3314, 1055, 519, 1283, 540, 1250, 2212, 454, 2171, 12777, 3893, 519, 1482, 4267, 585, 3388, 256, 9631, 326, 602, 2306, 803, 865, 5622, 6126, 267, 621, 1797, 1775, 1705, 660, 4625, 17684, 602, 1449, 936, 563, 279, 269, 17497, 3168, 899, 594, 949, 1205, 602, 589, 265, 11984, 602, 814, 1044, 865, 21792, 269, 6733, 338, 899, 589, 12458, 265, 4295, 13004, 267, 543, 952, 519, 29482, 9498, 1957, 568, 519, 1482, 7411, 267, 602, 589, 265, 11984, 454, 280, 269, 2052, 4896, 3314, 1018, 519, 2243, 729, 585, 519, 2626, 476, 280, 267, 476, 1015, 267, 476, 1556, 286, 594, 1175, 1810, 1405, 3314, 1603, 621, 454, 1015, 269, 630, 24314, 2022, 676, 6129, 333, 903, 728, 5353, 320, 994, 4692, 4896, 3314, 1018, 519, 2243, 729, 585, 519, 2626, 476, 280, 267, 476, 1015, 267, 476, 1556, 286, 594, 1175, 1810, 1405, 3314, 1603, 621, 454, 18204, 518, 2418, 585, 1535, 317, 273, 910, 476, 736, 343, 1341, 476, 9834, 2999, 476, 271, 692, 3383, 267, 630, 343, 910, 476, 279, 7565, 343, 910, 476, 1321, 264, 2999, 476, 271, 454, 1556, 269, 1548, 1705, 1004, 1205, 585, 519, 2063, 2243, 630, 6523, 303, 815, 476, 272, 270, 274, 264, 594, 729, 5386, 609, 519, 1866, 855, 1175, 7948, 1405, 960, 602, 835, 856, 2336, 1321, 269, 630, 24314, 2022, 676, 11929, 2675, 1415, 1735, 582, 994, 296, 1810, 1405, 1589, 621, 666, 581, 3160, 547, 476, 279, 610, 476, 1321, 1317, 621, 781, 543, 8635, 602, 3081, 621, 814, 547, 581, 1447, 982, 476, 271, 269, 898, 1767, 2328, 1524, 519, 9981, 865, 594, 1589, 621, 1131, 581, 476, 280, 267, 1015, 543, 476, 1556, 855, 594, 2451, 621, 607, 476, 279, 283, 311, 283, 1321, 607, 519, 2626, 281, 1131, 568, 1869, 1205, 519, 7436, 888, 296, 3893, 476, 280, 267, 476, 1015, 543, 476, 1556, 849, 454, 1724, 269, 30971, 563, 2467, 729, 513, 2243, 1644, 547, 11264, 519, 4009, 538, 513, 13392, 3830, 543, 596, 941, 5921, 547, 2626, 538, 519, 1106, 630, 320, 266, 268, 6912, 12500, 1916, 1432, 952, 596, 12193, 621, 676, 1210, 519, 13392, 4542, 454, 1691, 269, 630, 24314, 2022, 676, 10089, 21353, 4768, 1015, 994, 296, 3893, 476, 3393, 269, 3502, 3597, 476, 3393, 267, 855, 6148, 621, 568, 888, 7617, 1147, 1091, 2243, 568, 713, 888, 1428, 269, 630, 24314, 2022, 676, 804, 648, 333, 345, 18223, 276, 994, 2171, 12777, 3893, 519, 1482, 4267, 585, 3388, 256, 9631, 326, 602, 2306, 803, 865, 5622, 6126, 267, 621, 1797, 1775, 1705, 660, 4625, 17684, 602, 1449, 936, 563, 2690, 519, 2347, 519, 4009, 835, 596, 1185, 547, 4194, 585, 2473, 543, 4734, 621, 538, 519, 689, 513, 284, 266, 268, 10174, 321, 454, 1626, 269, 4236, 520, 1483, 2213, 593, 11264, 519, 4009, 594, 4769, 1405, 10300, 557, 519, 524, 1723, 324, 2310, 540, 1535, 269, 594, 3893, 513, 20868, 2626, 585, 602, 835, 543, 1631, 594, 1175, 1616, 547, 3956, 269, 6930, 502, 352, 6930, 502, 352, 6930, 502, 352, 454, 3719, 23248, 519, 1964, 4667, 2608, 655, 3508, 2358, 519, 4667, 265, 1434, 269, 9894, 333, 1405, 4413, 1022, 2055, 899, 930, 2828, 563, 1704, 269, 2871, 903, 267, 952, 594, 3893, 782, 331, 519, 1505, 1318, 855, 519, 2626, 4636, 786, 594, 1152, 6336, 835, 1665, 2496, 296, 1705, 713, 476, 275, 2053, 593, 519, 1957, 267, 585, 1383, 1775, 3893, 3597, 343, 815, 476, 1556, 543, 1775, 2322, 519, 2626, 607, 476, 1556, 711, 476, 13199, 692, 663, 594, 1705, 782, 519, 1318, 2324, 585, 519, 737, 2243, 855, 1775, 2322, 476, 1240, 3079, 540, 476, 280, 1317, 1775, 3190, 539, 909, 519, 4946, 692, 663, 594, 1625, 476, 276, 270, 277, 607, 1250, 2626, 3079, 540, 910, 276, 270, 277, 692, 663, 594, 29709, 547, 4628, 3815, 1047, 630, 343, 317, 273, 268, 280, 2020, 4777, 596, 22672, 517, 602, 338, 1152, 835, 1665, 4503, 585, 1142, 267, 1317, 594, 729, 2731, 3597, 532, 585, 606, 589, 317, 267, 855, 7329, 330, 952, 891, 9073, 786, 1152, 1942, 803, 835, 1665, 610, 519, 1665, 585, 519, 2898, 2243, 256, 7064, 454, 1240, 269, 630, 24314, 2022, 676, 476, 272, 329, 517, 600, 1626, 994, 9767, 2811, 2953, 563, 296, 5206, 476, 1626, 25773, 4135, 272, 270, 1839, 563, 1692, 1082, 7436, 786, 594, 6336, 585, 711, 3478, 910, 3199, 888, 866, 269, 594, 2648, 875, 708, 899, 2542, 782, 891, 6835, 1175, 3206, 875, 476, 633, 8959, 713, 981, 6930, 502, 480, 6930, 495, 491, 6930, 493, 376, 454, 736, 269, 23893, 324, 256, 594, 1174, 1034, 540, 621, 267, 855, 1775, 3893, 513, 476, 277, 607, 1134, 855, 1775, 1810, 1405, 1174, 875, 602, 729, 16866, 883, 519, 2626, 789, 5795, 721, 780, 11847, 569, 454, 8138, 2466, 16253, 454, 4811, 305, 8081, 12243, 692, 2171, 723, 513, 13085, 2319, 540, 811, 982, 476, 2568, 8081, 12243, 2818, 3168, 1310, 5717, 593, 634, 9906, 18740, 267, 4543, 547, 1118, 621, 513, 1187, 267, 2922, 543, 3730, 1747, 547, 13793, 856, 780, 1607, 8468, 568, 6462, 676, 912, 24993, 281, 4873, 476, 2641, 267, 476, 1001, 277, 454, 9213, 593, 570, 17876, 692, 2162, 1772, 713, 1268, 513, 21184, 2496, 1862, 5976, 891, 589, 5426, 2164, 2496, 2162, 594, 1589, 594, 6415, 19574, 589, 7246, 692, 11577, 21631, 593, 570, 17876, 692, 1892, 26257, 454, 1892, 12361, 6423, 811, 540, 1018, 596, 899, 593, 634, 9906, 18740, 692, 2791, 666, 2123, 1047, 1018, 596, 1294, 593, 570, 17876, 269, 15681, 721, 513, 2370, 827, 3054, 547, 1205, 3323, 780, 1892, 15724, 454, 8196, 995, 2200, 692, 1012, 5269, 707, 14469, 4443, 692, 2162, 13174, 17072, 20171, 4808, 692, 8253, 2386, 1141, 547, 2022, 286, 3367, 519, 8242, 4808, 1934, 692, 2162, 1215, 547, 946, 5487, 307, 1410, 692, 16240, 4834, 519, 2653, 1259, 692, 2162, 5530, 6208, 540, 589, 265, 1053, 692, 12749, 4388, 689, 1053, 945, 723, 2907, 513, 1027, 741, 11400, 692, 4692, 596, 948, 286, 5530, 948, 796, 753, 26833, 16060, 692, 1012, 20492, 2404, 609, 713, 8468, 1384, 8698, 2404, 2516, 454, 11577, 21631, 593, 570, 17876, 692, 1892, 26257, 454, 1892, 12361, 6423, 811, 540, 1018, 596, 899, 593, 634, 9906, 18740, 692, 2791, 666, 2123, 1047, 1018, 596, 1294, 593, 570, 17876, 269, 15681, 721, 513, 2370, 827, 3054, 547, 1205, 3323, 780, 1892, 634, 9906, 18740, 267, 5192, 4860, 2358, 543, 4460, 539, 676, 11334, 616, 9467, 4408, 540, 634, 9906, 18740, 6828, 13456, 780, 8802, 3563, 7089, 281, 476, 271, 5379, 5780, 274, 3199, 630, 8777, 1633, 543, 12986, 1070, 966, 2969, 3143, 269, 476, 3199, 277, 476, 3199, 277, 278, 476, 2420, 21362, 1229, 8433, 281, 4139, 5600, 267, 19803, 10003, 267, 24761, 517, 267, 645, 301, 272, 476, 274, 311, 292, 692, 11847, 16615, 21889, 281, 1411, 1205, 891, 21889, 607, 596, 2744, 1065, 689, 824, 2818, 585, 1818, 1434, 7418, 543, 4758, 5363, 5796, 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 ]
[ 4015, 547, 1331, 1312, 5259, 10971, 607, 1134, 607, 513, 1297, 540, 4914, 1381, 338, 563, 1432, 17204, 519, 4936, 7276, 888, 7661, 267, 538, 476, 5325, 277, 267, 519, 27272, 6205, 744, 4777, 27468, 588, 3042, 513, 27693, 543, 1244, 2216, 519, 14890, 7931, 15252, 4864, 15252, 269, 3245, 1287, 593, 267, 1100, 4936, 17169, 1131, 2479, 1586, 4341, 689, 513, 2022, 538, 7977, 2073, 3056, 1082, 547, 13712, 476, 5325, 277, 607, 519, 1032, 519, 5375, 7276, 11124, 922, 2669, 321, 869, 563, 7617, 4984, 568, 519, 9510, 888, 763, 2262, 9699, 568, 606, 608, 7716, 267, 543, 1247, 18420, 814, 1044, 1572, 519, 9510, 4984, 538, 519, 1158, 267, 1082, 9439, 3277, 547, 741, 4984, 607, 5842, 5953, 339, 3570, 20144, 12609, 630, 306, 14234, 281, 29334, 23547, 14098, 353, 23547, 7162, 356, 18892, 11695, 362, 281, 968, 1492, 661, 4156, 10158, 968, 1070, 799, 4016, 547, 519, 2856, 602, 922, 8129, 9114, 3564, 1480, 1686, 267, 607, 7000, 538, 519, 9699, 5931, 563, 8005, 729, 519, 2063, 4936, 17169, 286, 0, 268, 5437, 476, 277, 267, 476, 1001, 280, 454, 268, 17397, 676, 281, 7711, 19986, 24490, 454, 268, 21145, 281, 7351, 16457, 5240, 454, 763, 2136, 2276, 540, 3013, 814, 13166, 711, 1881, 519, 2136, 8315, 630, 7419, 264, 540, 922, 15639, 689, 519, 19506, 8303, 8693, 15716, 267, 31751, 538, 519, 1032, 476, 1001, 276, 799, 6322, 547, 1832, 519, 2333, 538, 2518, 3328, 2837, 547, 1134, 2630, 476, 273, 11019, 290, 1657, 840, 11897, 12009, 2157, 269, 634, 6876, 1185, 1927, 476, 6642, 8315, 1927, 1519, 3127, 547, 2119, 543, 11574, 519, 1198, 593, 2518, 8337, 593, 519, 4541, 563, 763, 8303, 8693, 6452, 867, 729, 9896, 1282, 519, 2136, 8315, 2048, 4596, 303, 476, 2641, 685, 4371, 693, 519, 3943, 13317, 269, 634, 2475, 5518, 6004, 269, 18496, 11686, 1185, 9307, 1010, 3375, 547, 11198, 689, 519, 8978, 6876, 267, 1259, 1394, 538, 4873, 476, 1001, 278, 267, 855, 519, 1184, 5956, 1631, 609, 519, 4013, 31015, 547, 519, 6167, 543, 519, 2475, 786, 581, 856, 540, 519, 533, 716, 593, 5437, 476, 275, 267, 476, 1708, 271, 563, 2026, 829, 519, 2475, 6554, 267, 519, 4308, 12662, 606, 15490, 2048, 11296, 11411, 685, 593, 519, 4892, 269, 1717, 267, 7366, 540, 2199, 6608, 267, 4213, 543, 3906, 538, 519, 2475, 723, 8678, 519, 1284, 3657, 12846, 769, 3350, 267, 26823, 3101, 547, 2759, 5434, 543, 1847, 547, 7791, 1648, 563, 7659, 20480, 540, 519, 2475, 29553, 719, 454, 2467, 568, 1100, 8969, 602, 519, 2475, 29553, 719, 786, 1118, 621, 27162, 615, 585, 519, 824, 1158, 547, 3914, 519, 3853, 1305, 585, 3294, 896, 519, 8303, 6452, 867, 269, 634, 2475, 8309, 547, 827, 476, 1428, 260, 540, 519, 2698, 1158, 3327, 5434, 543, 593, 824, 1688, 621, 568, 849, 513, 1713, 2707, 540, 8804, 543, 2029, 585, 519, 3384, 2477, 538, 741, 3646, 547, 10994, 519, 2518, 12998, 2042, 269, 898, 568, 849, 3808, 547, 723, 8801, 6286, 593, 519, 2475, 607, 1134, 269, 1452, 949, 1331, 912, 268, 7330, 779, 29553, 719, 786, 581, 606, 4316, 585, 3624, 912, 13528, 518, 2475, 5518, 4446, 871, 15525, 543, 4457, 5518, 2473, 328, 29883, 4771, 941, 15747, 538, 2156, 330, 1359, 519, 8303, 6452, 867, 269, 2755, 2475, 3217, 513, 1394, 1900, 267, 3624, 814, 6385, 556, 3530, 3305, 539, 922, 7029, 547, 519, 4308, 543, 568, 1305, 547, 2744, 8560, 1851, 519, 1158, 3401, 269, 901, 786, 1118, 873, 2744, 3833, 513, 1906, 18793, 538, 519, 5571, 2475, 16644, 2088, 4123, 512, 1380, 548, 563, 268, 2598, 1952, 2002, 618, 593, 519, 851, 540, 6820, 6355, 24285, 912, 22117, 619, 540, 1585, 3056, 3549, 1519, 5616, 267, 11197, 267, 2101, 8093, 4492, 12696, 3092, 269, 1185, 24016, 519, 2475, 5518, 547, 6529, 609, 519, 4308, 269, 634, 29553, 719, 568, 2386, 547, 14922, 873, 543, 1860, 519, 19647, 1063, 891, 3549, 543, 519, 2475, 6554, 563, 268, 15021, 568, 12691, 547, 1118, 513, 2097, 3724, 912, 763, 6521, 538, 519, 2475, 2476, 689, 5755, 568, 8272, 549, 1042, 538, 824, 2919, 2477, 269, 634, 5177, 786, 5123, 856, 5755, 585, 5108, 540, 5201, 676, 476, 1708, 276, 1107, 519, 1297, 540, 6009, 538, 519, 2475, 15021, 6080, 814, 1631, 1175, 3368, 540, 519, 1297, 6964, 538, 519, 3859, 5823, 269, 2755, 3384, 2477, 616, 2693, 547, 1869, 4096, 593, 519, 5755, 585, 5756, 547, 2097, 607, 741, 3119, 2707, 540, 1648, 267, 519, 1764, 593, 2011, 2298, 543, 1857, 10845, 827, 5533, 786, 581, 513, 12145, 3815, 563, 8601, 519, 2475, 15639, 267, 519, 2197, 779, 3327, 12998, 786, 3136, 547, 6749, 607, 829, 20327, 269, 2334, 779, 1317, 2475, 1648, 2504, 568, 13324, 811, 676, 3154, 982, 5755, 269, 4014, 621, 786, 711, 979, 1524, 1134, 609, 519, 2518, 3401, 543, 3788, 547, 581, 2938, 607, 547, 875, 789, 2746, 547, 971, 513, 1847, 269, 0, 763, 8760, 540, 18723, 3146, 339, 731, 656, 17234, 568, 10416, 4550, 3613, 1738, 18723, 3146, 339, 731, 656, 17234, 267, 4550, 268, 738, 19965, 18723, 3146, 339, 731, 656, 17234, 267, 4550, 14092, 573, 543, 12659, 8932, 18723, 3146, 339, 731, 656, 17234, 267, 4550, 2173, 657, 10181, 334, 18723, 3146, 339, 731, 656, 17234, 267, 543, 28890, 543, 18723, 3146, 339, 731, 656, 17234, 269, 2986, 1576, 267, 519, 5820, 616, 849, 7222, 547, 741, 4408, 269, 10395, 755, 542, 17234, 666, 581, 5258, 883, 513, 1090, 573, 18723, 29472, 656, 17234, 267, 8733, 18723, 29472, 656, 17234, 267, 10412, 18723, 29472, 656, 17234, 282, 22008, 290, 18723, 29472, 656, 17234, 267, 595, 21610, 18723, 29472, 656, 17234, 267, 12947, 23341, 18723, 29472, 656, 17234, 267, 1884, 626, 1738, 17234, 267, 18729, 1532, 848, 5958, 563, 2467, 616, 1082, 2010, 540, 18723, 3146, 339, 731, 656, 17234, 267, 3622, 3114, 11103, 267, 543, 930, 616, 1869, 22862, 593, 519, 2627, 269, 13437, 3595, 2837, 568, 476, 8517, 5232, 269, 6348, 12641, 5847, 2326, 585, 4853, 3595, 4027, 543, 3002, 13471, 267, 16560, 3595, 4027, 267, 3382, 585, 3595, 10943, 10449, 267, 3595, 4027, 512, 757, 538, 519, 2361, 267, 3092, 563, 293, 9200, 18723, 3146, 339, 731, 656, 267, 849, 1572, 14463, 18723, 3146, 339, 731, 656, 5958, 267, 568, 519, 960, 2944, 538, 519, 2038, 3942, 540, 519, 3003, 5958, 6194, 1184, 269, 898, 568, 5631, 1500, 540, 18723, 3146, 339, 731, 656, 6775, 18955, 883, 15454, 12308, 269, 4706, 18723, 3146, 339, 731, 656, 1198, 568, 14463, 543, 814, 1434, 11067, 1198, 267, 2523, 634, 18723, 3146, 339, 731, 656, 20612, 1031, 568, 25168, 1886, 22005, 267, 799, 786, 6309, 335, 543, 3327, 1125, 538, 2013, 540, 3595, 267, 543, 786, 24773, 880, 950, 519, 3595, 2707, 568, 6569, 269, 898, 786, 711, 15835, 543, 786, 711, 2014, 3109, 8673, 267, 543, 786, 711, 2014, 6281, 3595, 563, 14503, 877, 3146, 339, 731, 656, 17234, 666, 581, 1031, 585, 1225, 13935, 267, 15790, 1115, 267, 3349, 743, 16251, 267, 8825, 7802, 267, 4853, 23999, 8720, 267, 18229, 267, 1016, 3118, 267, 1164, 18286, 7841, 267, 16669, 9703, 17234, 267, 3092, 1421, 543, 666, 849, 581, 4922, 1031, 547, 1118, 3595, 16513, 1225, 13935, 267, 3595, 9885, 267, 3595, 16513, 1319, 338, 267, 3595, 16513, 29198, 543, 824, 3595, 16513, 14233, 269, 0, 273, 476, 274, 18049, 634, 8231, 581, 281, 594, 11783, 3733, 18049, 543, 594, 11314, 3883, 910, 12253, 8055, 476, 2537, 3091, 689, 1547, 5457, 519, 3017, 538, 2013, 1063, 519, 21770, 269, 967, 323, 476, 276, 311, 2894, 299, 5400, 288, 310, 298, 4029, 318, 25897, 289, 318, 22650, 269, 1403, 596, 1294, 606, 896, 20040, 10259, 5470, 267, 2511, 19583, 267, 610, 8239, 19583, 538, 707, 1257, 267, 4945, 593, 873, 547, 1294, 811, 3681, 269, 15233, 28303, 1141, 596, 991, 873, 563, 293, 1460, 18685, 6959, 5788, 31418, 1176, 2087, 1022, 1257, 269, 14271, 18462, 634, 1570, 568, 6322, 5631, 693, 7820, 1053, 855, 1223, 849, 581, 1031, 609, 824, 2085, 2516, 269, 1403, 713, 568, 519, 2013, 585, 707, 1126, 267, 4466, 513, 1434, 2298, 813, 602, 2636, 1864, 547, 4019, 1018, 646, 568, 1565, 538, 513, 1187, 267, 7317, 1604, 1522, 1118, 782, 540, 519, 3017, 547, 1010, 1377, 540, 1719, 543, 6278, 609, 1346, 17205, 543, 21770, 256, 6145, 1082, 824, 1983, 267, 8239, 2035, 991, 547, 581, 12649, 563, 2080, 616, 2947, 1390, 8239, 543, 18685, 8924, 547, 2638, 856, 281, 476, 272, 269, 1547, 8080, 547, 3733, 11314, 269, 769, 513, 8239, 1433, 519, 1318, 1106, 540, 713, 4845, 568, 2016, 676, 713, 1259, 910, 834, 288, 563, 7069, 18049, 543, 594, 11314, 3883, 269, 19113, 6276, 281, 594, 3513, 2760, 7340, 1250, 1101, 2648, 1677, 1665, 519, 1298, 32418, 540, 519, 3735, 623, 667, 6276, 267, 649, 1459, 519, 6760, 5856, 779, 17728, 267, 31305, 2094, 476, 3192, 276, 267, 540, 1200, 1101, 3020, 2648, 1635, 19113, 6276, 476, 272, 4864, 269, 476, 275, 281, 16448, 1023, 476, 4037, 476, 272, 269, 634, 1488, 323, 4594, 2632, 25491, 281, 634, 7464, 21509, 9452, 269, 5053, 18049, 1280, 30488, 2433, 3733, 11545, 5053, 1269, 476, 273, 269, 17781, 519, 5216, 1806, 540, 952, 543, 519, 1079, 1806, 540, 6999, 538, 519, 8574, 563, 7069, 18049, 1656, 594, 11314, 3883, 2433, 12253, 8055, 1269, 476, 273, 269, 5637, 3733, 18049, 543, 594, 11314, 3883, 910, 12253, 8055, 594, 543, 803, 616, 21770, 602, 649, 946, 547, 3277, 547, 6000, 267, 855, 594, 568, 562, 7631, 894, 267, 5078, 585, 946, 607, 519, 1641, 540, 513, 4845, 610, 16083, 267, 543, 803, 568, 25197, 894, 267, 5078, 585, 946, 607, 519, 1843, 540, 513, 8231, 269, 9292, 2001, 267, 1934, 621, 568, 476, 1015, 563, 15563, 267, 1118, 519, 6700, 2242, 547, 707, 1257, 1354, 596, 6494, 621, 593, 922, 1259, 269, 19410, 623, 27660, 1290, 1889, 18160, 269, 15439, 13594, 610, 2328, 707, 1257, 2630, 543, 4945, 6744, 3733, 5675, 547, 1205, 5955, 593, 707, 1603, 269, 898, 779, 15502, 547, 1847, 593, 689, 513, 8239, 1770, 950, 711, 3025, 814, 27058, 519, 5578, 952, 596, 917, 596, 786, 581, 3303, 2718, 1394, 547, 602, 1543, 5781, 269, 22043, 2353, 18049, 27190, 1389, 1656, 28389, 2659, 5675, 269, 634, 1843, 267, 799, 849, 3947, 519, 1650, 922, 2140, 563, 1103, 713, 1383, 267, 519, 10902, 4116, 568, 1031, 607, 513, 1641, 9148, 269, 3973, 267, 519, 1062, 786, 8850, 2638, 8239, 6165, 543, 10259, 543, 2285, 596, 519, 19545, 3803, 570, 2946, 331, 2946, 12737, 518, 2357, 18743, 269, 1879, 594, 1382, 8239, 4245, 267, 835, 540, 519, 2835, 594, 946, 568, 513, 4704, 1433, 1572, 19750, 2296, 26402, 676, 7812, 4210, 534, 269, 2296, 666, 581, 513, 7294, 1893, 282, 609, 922, 16221, 7506, 922, 8239, 666, 3100, 2407, 540, 17756, 543, 12150, 885, 563, 299, 528, 534, 8055, 281, 3883, 3091, 10888, 4640, 585, 9561, 269, 3115, 871, 3042, 609, 513, 4195, 29075, 1374, 267, 713, 1454, 2000, 3437, 10516, 2140, 568, 1631, 2139, 538, 1957, 3724, 267, 585, 1007, 3988, 543, 11655, 540, 519, 3126, 7567, 269, 12232, 538, 281, 28980, 269, 948, 803, 1265, 621, 476, 278, 563, 25405, 1408, 8055, 814, 476, 15389, 2835, 593, 6153, 1348, 338, 609, 476, 14138, 280, 16863, 269, 1547, 7734, 568, 513, 1463, 1843, 630, 6343, 563, 334, 3591, 267, 594, 4503, 519, 1433, 476, 277, 269, 634, 1101, 1900, 568, 6616, 2296, 18049, 6959, 1452, 21342, 6959, 666, 6961, 547, 581, 3983, 585, 513, 4062, 540, 960, 269, 12253, 8055, 779, 1034, 2442, 1433, 568, 645, 10165, 1863, 10610, 5678, 31981, 281, 12327, 31835, 32652, 32672, 1023, 1215, 1677, 563, 7069, 18049, 1656, 594, 11314, 3883, 8191, 2433, 12253, 8055, 9768, 2433, 7049, 516, 2433, 11711, 12025, 2433, 476, 7761, 269, 6178, 538, 547, 2689, 543, 4383, 707, 2534, 267, 1519, 1919, 596, 4076, 22646, 585, 267, 7270, 596, 4076, 10272, 267, 543, 7044, 596, 4076, 14478, 269, 967, 323, 476, 276, 476, 6434, 270, 1015, 270, 6187, 476, 277, 281, 4097, 281, 866, 6751, 270, 1015, 270, 6187, 476, 277, 281, 4097, 281, 866, 6751, 269, 1306, 513, 5467, 786, 1224, 998, 519, 4062, 267, 646, 24172, 786, 2628, 3007, 547, 891, 6959, 543, 786, 723, 547, 6560, 547, 1174, 1018, 519, 5856, 6499, 547, 2161, 563, 278, 856, 540, 476, 276, 6801, 476, 275 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 700, 4785, 298, 454, 296, 993, 606, 4810, 13571, 7232, 526, 5680, 3763, 518, 1759, 538, 519, 681, 1446, 662, 267, 12135, 1858, 454, 296, 723, 5249, 585, 513, 1360, 3309, 1305, 540, 3549, 538, 513, 2647, 2039, 540, 6080, 543, 7306, 269, 1306, 513, 13777, 584, 626, 267, 594, 723, 7463, 538, 2679, 31042, 267, 2413, 7270, 269, 3733, 6612, 568, 3059, 30892, 1299, 772, 311, 602, 3755, 666, 5612, 1174, 543, 602, 3132, 6209, 4205, 269, 594, 729, 849, 5617, 330, 773, 19594, 538, 23664, 2023, 10361, 267, 14662, 1394, 538, 476, 2735, 279, 563, 7818, 476, 22001, 476, 5400, 277, 278, 454, 1607, 1592, 814, 1044, 26940, 547, 2333, 5304, 6278, 563, 12487, 7876, 275, 1315, 14103, 276, 454, 16430, 1315, 22898, 274, 454, 311, 7876, 1315, 2473, 20784, 307, 1315, 2473, 303, 26059, 454, 17504, 18208, 1315, 23285, 454, 329, 5226, 2044, 1315, 589, 297, 288, 311, 454, 306, 817, 1315, 700, 8577, 454, 3725, 716, 1315, 4414, 5060, 454, 297, 9915, 1315, 23404, 293, 454, 306, 309, 301, 1315, 27707, 454, 289, 23808, 1315, 6167, 21197, 454, 7628, 519, 942, 950, 519, 4950, 729, 1869, 1007, 267, 594, 11751, 513, 1433, 593, 14103, 689, 513, 2442, 2228, 1433, 31805, 267, 543, 538, 513, 1906, 2110, 3275, 594, 729, 2324, 585, 513, 1379, 543, 3154, 10626, 598, 6921, 558, 4733, 2679, 782, 741, 5007, 7270, 269, 589, 1076, 547, 4019, 1250, 1983, 547, 2789, 6080, 594, 723, 849, 5249, 585, 513, 1591, 6049, 1303, 328, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 27165, 15232, 630, 308, 311, 264, 5071, 257, 607, 851, 540, 834, 31900, 1299, 22957, 1315, 11633, 5071, 1315, 8605, 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, 6637, 476, 1015, 281, 22307, 4536, 538, 519, 21708, 281, 5794, 680, 6951, 538, 2622, 2782, 594, 692, 1103, 519, 2038, 476, 736, 628, 2540, 267, 27858, 941, 1869, 1360, 1007, 18563, 269, 4658, 941, 19832, 676, 891, 10760, 6191, 543, 519, 7399, 789, 4843, 269, 1717, 267, 1100, 835, 1223, 723, 10567, 1175, 875, 1271, 27858, 1131, 1831, 1282, 2622, 2782, 594, 780, 763, 3689, 2622, 2782, 3576, 1747, 1063, 476, 4489, 275, 543, 476, 4489, 279, 267, 5473, 1082, 2477, 2066, 1896, 17407, 269, 901, 2518, 4655, 4957, 519, 1259, 10617, 941, 10692, 11014, 267, 1519, 519, 4367, 540, 2011, 12741, 269, 2311, 519, 1376, 540, 519, 2112, 267, 8484, 941, 5097, 1031, 585, 11028, 18590, 13485, 267, 11287, 10546, 7158, 543, 8989, 1394, 547, 22071, 269, 1809, 4166, 2614, 267, 4108, 3401, 7691, 602, 27858, 1223, 849, 581, 1031, 585, 22215, 519, 10546, 780, 288, 7878, 7960, 6385, 2429, 519, 2112, 269, 7216, 14742, 941, 3500, 267, 17866, 267, 543, 5645, 1152, 835, 1268, 1107, 519, 12681, 269, 1306, 519, 991, 585, 811, 4359, 8484, 8057, 267, 865, 1705, 6639, 10124, 269, 674, 2120, 543, 18569, 1512, 14742, 941, 2919, 267, 8876, 3684, 15963, 267, 23038, 267, 543, 1256, 2789, 12284, 2818, 269, 1452, 7760, 4847, 21804, 547, 4497, 538, 2915, 325, 2074, 1164, 909, 538, 519, 6607, 267, 15246, 1524, 15852, 14742, 609, 741, 15841, 9604, 780, 10521, 1292, 2010, 540, 8484, 7153, 1282, 713, 942, 281, 25881, 543, 17177, 1499, 269, 674, 7660, 14742, 941, 3710, 585, 3432, 543, 22231, 267, 2966, 4481, 547, 4497, 824, 8484, 538, 8396, 269, 15815, 1824, 945, 24363, 25142, 14742, 2968, 1634, 607, 834, 2167, 257, 950, 789, 8929, 1524, 2947, 610, 811, 10546, 14742, 269, 2368, 4583, 513, 806, 3769, 5125, 781, 4414, 31578, 630, 10048, 15728, 13153, 6762, 628, 1993, 523, 264, 543, 4516, 781, 25381, 21674, 780, 289, 558, 828, 14742, 267, 593, 519, 824, 1688, 267, 941, 1454, 3677, 543, 18219, 982, 25881, 269, 1358, 1223, 4163, 19421, 540, 23038, 5827, 540, 4929, 1713, 9552, 593, 519, 2666, 2630, 269, 25512, 532, 986, 1749, 6098, 10546, 5989, 899, 15327, 267, 7841, 1811, 267, 543, 13279, 269, 2755, 1447, 1350, 600, 5387, 982, 8165, 538, 2915, 325, 2074, 267, 26645, 8255, 9863, 2629, 538, 4617, 2287, 14763, 936, 942, 780, 8601, 1373, 971, 513, 14686, 1907, 538, 13137, 267, 1272, 607, 513, 12681, 1282, 2622, 2782, 594, 729, 11212, 5906, 269, 1773, 2033, 26301, 267, 7344, 14286, 267, 543, 10546, 3595, 8507, 538, 9118, 25096, 1851, 1285, 328, 2209, 269, 3958, 267, 15287, 543, 12445, 941, 4101, 1813, 547, 3908, 2029, 269, 3509, 12703, 21804, 4682, 7508, 267, 2760, 547, 2132, 1753, 780, 13328, 2782, 594, 6825, 519, 4098, 540, 4108, 18229, 1686, 269, 634, 4245, 4121, 1282, 1346, 22266, 2185, 1296, 9788, 519, 5748, 585, 2413, 2011, 4229, 5001, 269, 3245, 1287, 593, 267, 6082, 6956, 519, 2956, 540, 9013, 519, 22839, 538, 29053, 267, 3056, 547, 4797, 5092, 543, 5647, 538, 18229, 2029, 269, 4653, 267, 2230, 3408, 543, 2113, 10560, 1436, 616, 24909, 540, 713, 3140, 9371, 267, 11319, 8103, 2417, 883, 1007, 4395, 4536, 1247, 4180, 3106, 543, 3354, 1394, 593, 3047, 780, 13914, 827, 621, 281, 5994, 952, 596, 5030, 1282, 2622, 2782, 594, 269, 14348, 596, 546, 732, 547, 8038, 835, 540, 1346, 2038, 27858, 6616, 519, 4220, 3238, 286, 1215, 1114, 1522, 938, 1158, 1413, 2221, 1510, 519, 8441, 1500, 538, 4108, 18229, 1282, 713, 1974, 286, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 763, 3689, 2622, 2782, 729, 10692, 689, 476, 4489, 275, 547, 476, 4489, 279, 538, 2342, 267, 519, 14033, 5101, 267, 4000, 267, 5101, 5607, 543, 519, 12084, 269, 6168, 476, 1704, 2929, 1004, 4503, 741, 2729, 607, 513, 1267, 540, 621, 269, 898, 3459, 593, 5147, 476, 2764, 267, 476, 4489, 275, 267, 609, 519, 17083, 540, 2112, 676, 15212, 6953, 2426, 776, 593, 28993, 267, 799, 1185, 1044, 28263, 676, 519, 26923, 3801, 538, 7203, 1690, 5271, 334, 593, 4873, 476, 2764, 267, 476, 4489, 275, 267, 543, 519, 4611, 5147, 6433, 563, 347, 14630, 1475, 5804, 5147, 476, 2764, 267, 476, 4489, 275, 267, 547, 5437, 476, 1556, 267, 476, 4489, 279, 2008, 25238, 4851, 1475, 275, 1296, 267, 476, 274, 3275, 543, 476, 1691, 2395, 2008, 347, 20278, 1475, 292, 2202, 267, 4000, 267, 519, 5664, 5101, 267, 3624, 267, 7909, 807, 267, 519, 7414, 7909, 267, 9533, 7909, 2008, 18871, 30510, 11350, 328, 1475, 306, 541, 1690, 5271, 334, 4323, 2008, 763, 11439, 4655, 8694, 609, 519, 6186, 626, 823, 540, 3281, 328, 11726, 326, 928, 593, 5437, 476, 1556, 267, 476, 4489, 279, 267, 799, 729, 24190, 609, 519, 11802, 540, 519, 2112, 22687, 602, 7153, 689, 519, 10222, 921, 9980, 25366, 269, 12830, 5171, 538, 519, 2112, 941, 519, 4436, 7276, 267, 15212, 6953, 2426, 776, 267, 519, 16368, 7276, 543, 31697, 593, 519, 835, 1688, 543, 5333, 267, 4279, 6628, 543, 922, 3703, 7276, 267, 6576, 267, 28993, 267, 19934, 267, 7977, 267, 27597, 267, 3567, 543, 519, 7330, 593, 519, 522, 628, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 25886, 1315, 13639, 1315, 28645, 1299, 6611, 1315, 6611, 16709, 543, 631, 4106, 541, 1436, 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, 3848, 476, 280, 281, 12594, 543, 10791, 7497, 910, 30839, 3776, 645, 3672, 519, 9406, 10158, 692, 7072, 912, 5970, 596, 2479, 2219, 827, 1018, 707, 1560, 2115, 547, 3251, 2635, 286, 3807, 899, 6517, 991, 17405, 547, 2196, 267, 938, 4703, 991, 1426, 547, 1599, 5265, 269, 1809, 621, 781, 711, 1175, 827, 4189, 1022, 2186, 540, 1426, 282, 649, 723, 547, 3548, 519, 1318, 5686, 540, 3536, 602, 786, 2285, 721, 782, 519, 5567, 649, 991, 269, 901, 3184, 786, 6338, 596, 547, 6484, 543, 2732, 7497, 267, 799, 616, 1271, 2694, 540, 23833, 4915, 1317, 789, 948, 1832, 721, 2635, 676, 3246, 938, 4703, 609, 1898, 8324, 267, 6886, 267, 5946, 267, 9600, 267, 543, 11950, 780, 4089, 476, 272, 281, 1548, 568, 12594, 543, 10791, 7497, 888, 14343, 14945, 2162, 9502, 1299, 11957, 692, 301, 9173, 4016, 547, 875, 6878, 538, 1426, 2285, 938, 4703, 1648, 543, 2327, 1697, 2208, 267, 7816, 267, 543, 5826, 540, 15629, 3252, 269, 2201, 519, 824, 1688, 267, 2732, 7497, 3322, 7311, 3621, 3741, 547, 1374, 25191, 11326, 585, 1004, 1759, 593, 741, 1808, 2564, 2175, 543, 2123, 7375, 269, 8625, 267, 891, 4610, 1445, 593, 5009, 1434, 1072, 998, 7059, 6980, 1247, 7303, 10108, 3361, 676, 4057, 6484, 780, 7078, 281, 5994, 3843, 547, 1628, 513, 2777, 1510, 20398, 267, 27341, 267, 3574, 267, 610, 2645, 1107, 7543, 267, 1318, 286, 6684, 267, 938, 4703, 666, 1405, 7500, 7561, 952, 789, 1810, 1405, 4309, 7850, 5666, 540, 1585, 5567, 971, 607, 3940, 267, 7513, 267, 4401, 267, 3092, 1421, 1336, 538, 1114, 2010, 540, 3536, 269, 7743, 6484, 2337, 7794, 7633, 267, 12115, 16398, 267, 2087, 2634, 1599, 267, 2226, 4761, 1062, 1072, 267, 543, 1454, 811, 2439, 4089, 476, 273, 281, 11683, 26643, 540, 715, 19153, 454, 5785, 19030, 2467, 616, 3670, 2101, 5049, 540, 5567, 2838, 676, 519, 1480, 1560, 281, 11950, 267, 5946, 267, 9600, 267, 8324, 267, 6886, 267, 543, 1216, 269, 2913, 781, 2263, 1142, 835, 13713, 1384, 2162, 2961, 8510, 6233, 692, 10111, 2125, 4196, 607, 938, 3119, 2707, 540, 1648, 269, 1358, 2097, 538, 1079, 3029, 281, 2241, 19719, 630, 11398, 6923, 538, 5613, 267, 5144, 2472, 267, 543, 9268, 14836, 264, 543, 1950, 19719, 630, 935, 22633, 538, 2898, 9274, 267, 22053, 267, 5388, 267, 543, 930, 5613, 1040, 13216, 19719, 1491, 3476, 547, 7558, 982, 2241, 3283, 267, 1818, 873, 513, 1732, 3903, 585, 13455, 1648, 5305, 2429, 519, 1554, 780, 7078, 281, 14856, 513, 12826, 540, 27046, 22596, 1500, 689, 18202, 28113, 630, 1260, 14658, 19719, 264, 2488, 1279, 18835, 1648, 3379, 547, 6704, 14614, 630, 13678, 921, 19719, 1070, 799, 3123, 513, 2656, 21782, 4553, 676, 513, 16154, 538, 1973, 4006, 2157, 780, 2162, 26287, 1231, 692, 3682, 974, 1231, 1404, 2629, 5107, 538, 2679, 6091, 267, 6721, 10399, 267, 11476, 267, 12489, 267, 543, 5885, 5160, 7816, 269, 10960, 2959, 899, 5779, 267, 16738, 267, 3165, 267, 5798, 267, 10683, 2472, 267, 2059, 609, 2030, 2861, 3681, 971, 607, 10365, 267, 21378, 2812, 267, 10808, 267, 5452, 267, 543, 13386, 2270, 8795, 5232, 540, 3940, 780, 7078, 281, 1879, 596, 838, 1778, 707, 21721, 4730, 13558, 267, 707, 1560, 3096, 6740, 5946, 547, 1711, 1007, 8031, 1282, 7067, 780, 2162, 674, 1846, 692, 293, 1846, 1419, 1205, 513, 3983, 22850, 267, 855, 789, 2811, 4105, 585, 21716, 3170, 30320, 8324, 630, 288, 267, 667, 267, 661, 267, 918, 1070, 32229, 8219, 267, 4509, 1591, 17011, 267, 543, 13754, 1944, 1978, 10399, 269, 24296, 18260, 9600, 630, 3000, 334, 268, 543, 4874, 12584, 18260, 264, 1336, 538, 19146, 15606, 267, 14462, 3282, 267, 9761, 3165, 267, 543, 10808, 616, 2295, 268, 11794, 5079, 267, 6466, 15459, 543, 1098, 9600, 630, 30005, 538, 2699, 5779, 267, 7423, 267, 543, 1082, 26437, 16152, 264, 1058, 581, 10057, 838, 2130, 569, 1813, 547, 1761, 8801, 2360, 593, 9025, 1072, 780, 7078, 281, 16792, 24429, 1354, 2469, 3544, 14014, 707, 2960, 689, 5739, 11158, 12345, 14356, 7064, 547, 6171, 667, 10338, 19658, 676, 8192, 9600, 780, 2162, 23554, 7530, 1299, 30200, 692, 309, 527, 7530, 543, 6886, 616, 25050, 19153, 2877, 1152, 538, 1507, 9424, 2943, 2565 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 711, 725, 29211, 3206, 827, 2780, 6620, 269, 11473, 17976, 593, 519, 13445, 2433, 1374, 543, 6388, 10148, 269, 476, 630, 288, 1164, 7400, 1893, 568, 267, 538, 1360, 2489, 2474, 267, 1022, 5752, 1893, 602, 2636, 519, 27732, 547, 2328, 3292, 538, 2474, 602, 616, 811, 7493, 982, 10198, 1893, 5528, 267, 1775, 4318, 269, 10613, 540, 7893, 5752, 1893, 8560, 1331, 281, 10203, 519, 1297, 540, 2816, 22099, 602, 2446, 519, 1893, 267, 519, 1297, 540, 2835, 3450, 519, 1893, 602, 616, 4421, 630, 10472, 21467, 560, 23660, 519, 2956, 540, 18960, 4654, 1070, 543, 9193, 540, 519, 1297, 540, 4540, 3515, 540, 3009, 2854, 538, 519, 1893, 630, 10472, 19765, 23660, 519, 1297, 540, 3755, 540, 1870, 4654, 971, 607, 2910, 289, 5357, 1040, 12229, 8081, 23910, 16763, 13517, 269, 834, 10144, 257, 2356, 3277, 547, 782, 519, 1004, 3238, 538, 519, 1272, 4783, 540, 513, 3301, 269, 1452, 3268, 616, 4553, 676, 4152, 267, 17293, 543, 5826, 269, 4985, 547, 12229, 7177, 19877, 5999, 1656, 12226, 269, 634, 2956, 540, 12229, 4702, 568, 607, 5205, 281, 11087, 806, 6988, 281, 8262, 3301, 568, 2141, 7294, 543, 4101, 547, 3356, 269, 634, 9936, 568, 2241, 543, 596, 666, 1491, 621, 607, 519, 1219, 1588, 540, 5071, 543, 23840, 10148, 607, 1134, 269, 12229, 1272, 4783, 3631, 4766, 11775, 540, 519, 3301, 4783, 543, 519, 1931, 538, 799, 1346, 11775, 616, 13401, 269, 1703, 2291, 513, 2603, 540, 18312, 4485, 585, 1142, 540, 1346, 4247, 269, 693, 513, 1377, 540, 27727, 834, 327, 27941, 257, 982, 602, 540, 606, 10198, 1893, 4700, 769, 713, 2376, 649, 2285, 596, 476, 278, 2081, 585, 3301, 6388, 1967, 269, 12989, 568, 513, 6516, 602, 14550, 782, 540, 519, 2101, 3268, 538, 513, 1804, 3301, 6388, 1788, 269, 634, 9015, 15320, 689, 1082, 824, 2930, 1527, 525, 2507, 12229, 4702, 17337, 2462, 2042, 883, 1585, 1507, 2152, 269, 1703, 616, 1082, 1788, 16097, 2139, 602, 1683, 513, 24920, 610, 3391, 547, 4058, 855, 267, 7488, 540, 519, 12191, 596, 3442, 267, 972, 616, 1978, 3527, 602, 1590, 581, 3144, 538, 1931, 547, 581, 3811, 269, 5776, 29671, 3181, 10212, 619, 899, 575, 27219, 616, 849, 1031, 267, 543, 891, 1419, 1683, 1447, 540, 513, 3308, 1604, 267, 2356, 1210, 513, 4971, 1899, 269, 7102, 3301, 1788, 10324, 786, 3858, 602, 519, 13287, 540, 971, 3255, 3112, 1847, 4464, 1510, 1981, 269, 634, 3138, 558, 1223, 3132, 7357, 1114, 649, 2314, 1210, 1114, 5036, 540, 6486, 269, 3657, 596, 513, 7817, 6849, 12229, 23840, 23910, 513, 1007, 1909, 286, 1323, 1412, 574, 921, 7695, 262, 666, 581, 3989, 607, 519, 1062, 14263, 519, 8818, 269, 5637, 4125, 2757, 4702, 11775, 267, 3301, 1646, 9967, 5097, 540, 1523, 5137, 267, 4170, 20487, 267, 1374, 267, 6388, 267, 5610, 267, 4152, 267, 543, 17293, 269, 3657, 267, 519, 5752, 1893, 269, 5123, 540, 519, 3301, 4702, 630, 8865, 3738, 568, 513, 1031, 24222, 610, 1360, 1875, 10391, 899, 538, 5124, 8798, 540, 519, 3301, 1646, 1283, 5377, 256, 1772, 3301, 1374, 540, 6486, 585, 824, 9367, 2603, 540, 18312, 4485, 585, 1142, 540, 519, 2101, 3268, 513, 1862, 12229, 1587, 824, 2930, 1527, 525, 2507, 713, 568, 519, 1353, 540, 543, 2259, 540, 4702, 3741, 547, 3301, 1272, 269, 6435, 3713, 930, 2009, 2042, 1788, 10324, 786, 3858, 602, 519, 3138, 558, 1223, 3132, 7357, 649, 2314, 256, 623, 1122, 338, 543, 4342, 338, 5116, 883, 513, 11308, 14941, 693, 1808, 6753, 4990, 540, 7493, 1893, 5961, 256, 667, 821, 609, 9517, 19324, 899, 661, 743, 15199, 267, 918, 16467, 267, 4880, 6826, 753, 267, 543, 891, 1419, 1447, 269, 24295, 543, 824, 18453, 3009, 1148, 267, 513, 3710, 1982, 30154, 14825, 1092, 538, 476, 6344, 277, 581, 607, 256, 5147, 476, 1708, 271, 267, 693, 476, 1556, 281, 7871, 29449, 5697, 267, 621, 3587, 1985, 547, 7543, 547, 519, 269, 5455, 609, 8100, 610, 2123, 1995, 1114, 6163, 540, 5752, 630, 1572, 5752, 26336, 3738, 946, 269, 8609, 3738, 476, 273, 602, 14550, 782, 540, 519, 1880, 3684, 267, 1419, 538, 9352, 10035, 3791, 5123, 519, 256, 23840, 21480, 543, 6660, 16893, 630, 11137, 3738, 476, 274, 2226, 1464, 543, 3868, 1464, 540, 1804, 3785, 596, 269, 20828, 540, 5752, 568, 519, 957, 540, 7311, 4702, 3741, 547, 8888, 3301, 9936, 568, 2241, 596, 256, 26115, 22935, 3301, 19296, 616, 782, 827, 519, 3009, 2146, 3301, 6388, 1967, 540, 3684, 28505, 2923, 267, 11783, 2142, 1031, 538, 476, 6344, 277, 4125, 29356, 543, 6388, 568, 519, 3942, 538, 519, 1184, 8193, 256, 5549, 8091, 1982, 666, 723, 1713, 4539, 585, 922, 3755, 5961, 616, 1031, 547, 2769, 3301, 256, 1772, 2241, 543, 596, 666, 946, 547, 1020, 707, 772, 7876, 1374, 4702, 3157, 543, 4988, 1862, 1323, 1930, 1158, 267, 670, 665, 267, 808, 11607, 300, 269, 543, 715, 7666, 344, 523, 29930, 10224, 267, 513, 891, 3268, 616, 4553, 676, 4152, 267, 543, 256, 23840, 1058, 723, 621, 267, 865, 666, 596, 4702, 476, 2567, 16294, 519, 1292, 540, 256, 15339, 630, 631, 6395, 3738, 4702, 281, 513, 7797, 593, 513, 6075, 30232, 4170, 2663, 519, 256, 634, 1587, 540, 1079, 1913, 267, 3301, 267, 1394, 15134, 29026, 610, 4152, 3795, 267, 513, 9781, 630, 256, 24517, 3433, 593, 1018, 789, 798, 1655, 12882, 1018, 568, 3301, 6388, 538, 3301, 4702, 3009, 2115, 267, 543, 891, 1683, 256, 3687, 639, 519, 8818, 1341, 476, 280, 3738, 5402, 268, 23457, 5528, 543, 3009, 2854, 676, 9367, 593, 1022, 540, 1585, 1880, 2780, 907, 6902, 596, 949, 1205, 891, 689, 1022, 2186, 540, 4170, 552, 3052, 1950, 9273, 16761, 540, 519, 2413, 1344, 4393, 2807, 12229, 2777, 267, 2324, 593, 1950, 1949, 543, 3356, 532, 707, 4876, 609, 5718, 9021, 602, 1862, 4279, 3070, 547, 2569, 519, 28658, 540, 1022, 1788, 547, 20837, 1467, 3301, 281, 256, 17317, 1116, 16532, 6198, 4654, 267, 543, 13649, 3301, 6388, 12697, 1106, 267, 799, 2337, 519, 512, 22246, 1353, 256, 4400, 268, 26660, 543, 8919, 6954, 3301, 547, 2769, 519, 3301, 666, 2731, 5838, 267, 18113, 8600, 707, 1788, 2319, 267, 9027, 908, 2115, 1862, 8950, 23501, 1031, 11690, 28967, 1841, 585, 519, 4305, 693, 1688, 786, 581, 5697, 3976, 1862, 910, 519, 1034, 2442, 540, 2413, 5752, 4654, 602, 616, 811, 7493, 539, 689, 519, 5817, 8800, 1496, 476, 276, 1325, 11219, 1794, 926, 269, 7756, 2127, 540, 3301, 267, 543, 949, 1611, 1114, 1919, 547, 4658, 538, 1114, 5107, 2081, 585, 3301, 1788, 256, 476, 273, 1341, 476, 276, 2608, 2473, 1341, 476, 280, 3738, 519, 1931, 538, 799, 596, 3301, 256, 22493, 4643, 267, 2854, 538, 519, 24362, 3556, 5736, 3738, 547, 20000, 3301, 21480, 256, 1280, 606, 1930, 1158, 267, 670, 665, 267, 808, 11607, 300, 269, 543, 715, 7666, 344, 523, 29930, 10224, 267, 513, 2095, 540, 907, 3502, 566, 1031, 585, 6538, 1374, 568, 513, 1360, 1271, 4305, 538, 519, 4702, 256, 7177, 8188, 646, 8547, 519, 570, 5429, 908, 3684, 7577, 630, 799, 2663, 2968, 519, 4295, 540, 22126, 3738, 568, 2352, 269, 17778, 538, 513, 5752, 1893, 269, 3627, 631, 269, 6902, 645, 1080, 752, 529, 267, 25463, 529, 630, 5147, 476, 4029, 267, 476, 1220, 279, 3738, 630, 3738, 1862, 476, 1015, 3268, 707, 3301, 6388, 23910, 596, 786, 2327, 602, 2645, 1118, 1505, 256, 4201, 11703, 610, 23553, 547, 7520, 3301, 9367, 547, 13404, 593, 1018, 789, 1655, 1862, 2560, 1306, 6362, 585, 948, 267, 27792, 267, 610, 1360, 1875, 10391, 899, 538, 5124, 786, 10460, 513, 1377, 540, 12181, 256, 9537, 540, 17103, 1031, 666, 1860, 555, 2507, 8729, 585, 7700, 606, 2626, 547, 3301, 6388, 23910, 513, 1909, 256, 21976, 883, 1945, 602, 513, 2780, 666, 14892, 1331, 4170, 20487, 267, 1374, 267, 1020, 267, 11783, 23618, 930, 2009, 2042, 4876, 538, 1034, 2919, 2477, 16759, 540, 519, 13153, 3026, 30977, 15339, 4847, 2780, 3292, 519, 1862, 2986, 5402, 268, 23457, 5528, 543, 3009, 2854, 676, 9367, 593, 1022, 540, 1585, 1880, 2780, 23511, 3245, 3301, 4702, 29571, 16510, 519, 4806, 602, 519, 13287, 540, 971, 666, 256, 6270, 267, 6388, 267, 1599, 543, 18175, 10232, 630, 799, 2663, 2968, 519, 4295, 540, 22126, 3738, 602, 1223, 1287, 1224, 269, 12846, 9411, 1210, 5309, 3481, 6486, 855, 2057, 2560, 1306, 6362, 585, 948, 267, 27792, 267, 610, 1875, 10391, 269, 2060, 9517, 19324, 899, 661, 743, 15199, 267, 918, 16467, 267, 4880, 6826, 753, 267, 543, 13649, 3301, 593, 476, 1691, 476, 1708, 271, 269, 3417, 1843, 15129, 2079, 543, 1374, 630, 744, 302, 4696, 3738, 543, 7844, 5937, 337, 1508, 15339, 630, 631, 6395, 3738, 519, 10148, 269, 0, 763, 2136, 2276, 3091, 1585, 6694, 3454, 23614, 687, 267, 1519, 547, 1346, 538, 519, 1870, 540, 9870, 7031, 267, 16025, 267, 13184, 267, 10683, 267, 16738, 267, 3165, 543, 9663, 24481, 2831, 269, 634, 3484, 3454, 23614, 687, 602, 930, 2829, 1450, 2285, 6705, 513, 2736, 593, 6694, 3959, 9204, 267, 6455, 9204, 593, 3484, 3937, 267, 4492, 3454, 543, 6455, 9204, 593, 6464, 267, 31534, 543, 8105, 7727, 563, 13070, 3472, 1116, 16296, 12525, 525, 454, 5472, 476, 2004, 2829, 2285, 6694, 2244, 15028, 3454, 2126, 269, 3557, 543, 2199, 2708, 832, 3454, 1034, 3959, 1759, 593, 922, 4023, 2344, 1871, 269, 16581, 2244, 568, 606, 9868, 269, 589, 1804, 7156, 585, 513, 3484, 781, 2344, 1871, 568, 922, 2702, 547, 3132, 2472, 269, 21086, 3947, 3484, 1633, 513, 476, 1428, 2600, 3454, 608, 18277, 269, 1715, 3840, 2636, 1007, 5656, 543, 3889, 593, 11396, 513, 2347, 3454, 608, 18277, 585, 476, 1015, 1296, 269, 2368, 2829, 849, 1450, 10821, 4630, 652, 1737, 3484, 3454, 23614, 687, 563, 13750, 543, 2199, 6455, 9204, 4268, 2429, 519, 2197, 269, 30003, 9204, 2196, 1063, 476, 277, 543, 476, 1015, 21347, 593, 519, 13362, 269, 16581, 3454, 23614, 687, 1331, 519, 6455, 543, 946, 3454, 585, 8105, 3937, 538, 1082, 2829, 269, 901, 2882, 1164, 1673, 20683, 3688, 899, 8778, 832, 267, 8484, 267, 7556, 3937, 543, 12555, 1949, 269, 1452, 2829, 4122, 1450, 18203, 543, 2694, 585, 519, 6191, 607, 1134, 269, 2368, 2829, 1331, 1507, 3688, 899, 2545, 532, 5911, 543, 2645, 585, 5826, 543, 18203, 563, 763, 5313, 2229, 8591, 1147, 12737, 525, 540, 811, 982, 476, 1240, 21347, 829, 20645, 593, 17405, 543, 811, 982, 476, 2190, 21347, 829, 20645, 593, 17088, 269, 4107, 2829, 20818, 3606, 1147, 12737, 525, 602, 4122, 2179, 547, 811, 982, 476, 736, 21347, 829, 20645, 593, 1312, 4492, 2010, 269, 11153, 2829, 1118, 6705, 23614, 689, 4492, 9204, 585, 519, 2010, 540, 4492, 4122, 1031, 593, 11396, 267, 1519, 17088, 267, 17405, 543, 4508, 1030, 1221, 19386, 269, 4993, 267, 7147, 543, 17996, 616, 1851, 519, 2829, 602, 9886, 4492, 3454, 23614, 687, 547, 6705, 563, 293, 1301, 619, 946, 1896, 6464, 538, 519, 1576, 540, 8600, 4610, 267, 30574, 7031, 543, 8156, 2831, 269, 634, 2829, 602, 1450, 23614, 687, 593, 519, 6455, 543, 946, 9204, 585, 8105, 6464, 4122, 1331, 18168, 267, 13851, 543, 31534, 585, 13184, 543, 2324, 3484, 2831, 269, 3509, 849, 1331, 5452, 585, 9544, 7031, 543, 3049, 585, 2831, 269, 12389, 4719, 2326, 543, 16738, 543, 13184, 16306, 585, 10285, 5301, 616, 849, 1851, 519, 6694, 3454, 23614, 687, 538, 1082, 2829, 563, 297, 517, 571, 25951, 3459, 1603, 538, 476, 2735, 280, 269, 1261, 11339, 5708, 585, 1453, 543, 4079, 543, 14405, 593, 2833, 538, 2069, 267, 6142, 267, 4070, 267, 18229, 11707, 543, 9913, 547, 1711, 1543, 585, 1585, 7270, 269, 25951, 6594, 12666, 6575, 543, 2780, 2257, 693, 519, 5441, 540, 4077, 31760, 543, 2558, 1211, 14502, 5441, 269, 0, 305, 14508, 6248, 6580, 20569, 454, 19284, 1004, 267, 596, 666, 1406, 2731, 7058, 519, 2085, 540, 513, 4224, 689, 3168, 693, 621, 269, 21953, 267, 596, 4076, 4862, 519, 3377, 281, 3047, 568, 476, 275, 269, 277, 5479, 1296, 2025, 269, 2334, 8970, 25865, 1336, 538, 606, 3504, 7111, 1977, 3595, 8486, 568, 476, 272, 267, 1822, 1296, 2025, 269, 2983, 11043, 2085, 6580, 1765, 817, 793, 532, 606, 2085, 547, 2326, 28934, 606, 3003, 9015, 540, 922, 1378, 269, 2080, 568, 606, 2653, 3562, 1174, 21658, 585, 707, 1053, 281, 3448, 2085, 6580, 568, 899, 6031, 602, 707, 22516, 568, 4587, 982, 596, 563, 2005, 1522, 581, 2009, 547, 4266, 930, 3114, 24348, 7725 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11896, 666, 3006, 2061, 267, 610, 7494, 2569, 267, 519, 7872, 540, 513, 29326, 19307, 269, 589, 1394, 4248, 11896, 568, 513, 20856, 675, 8704, 883, 513, 7254, 3202, 29326, 3028, 14694, 2901, 3544, 610, 538, 519, 25810, 269, 589, 1394, 4248, 11896, 568, 606, 13128, 3926, 799, 2636, 1216, 547, 2095, 856, 540, 519, 2679, 267, 855, 32195, 950, 1216, 13290, 547, 2095, 23651, 269, 634, 1770, 1590, 581, 19345, 2687, 547, 519, 10672, 547, 2327, 602, 519, 11896, 32195, 7157, 950, 2877, 269, 4438, 513, 19307, 3510, 267, 798, 711, 1039, 1022, 3606, 1216, 547, 519, 28368, 676, 1166, 5241, 30079, 267, 2921, 29636, 267, 3257, 27445, 267, 3092, 563, 8256, 738, 519, 5398, 3718, 4972, 1991, 547, 16459, 513, 1394, 6503, 6604, 11896, 563, 7712, 1216, 3441, 949, 2049, 693, 1022, 4090, 267, 2523, 2630, 3446, 543, 1282, 513, 7088, 267, 621, 949, 581, 19624, 547, 3346, 707, 6142, 8665, 585, 1344, 3823, 2027, 31115, 6142, 585, 1216, 19307, 547, 581, 3773, 547, 707, 3609, 269, 6744, 609, 707, 6142, 8665, 585, 811, 3795, 1344, 543, 14499, 563, 19187, 1399, 5411, 616, 3743, 585, 519, 4357, 2427, 540, 519, 29326, 1062, 593, 741, 3959, 630, 22336, 2251, 909, 547, 519, 1449, 751, 324, 1040, 2859, 982, 476, 2004, 2600, 540, 519, 4975, 781, 2949, 29326, 1062, 568, 593, 4357, 3959, 563, 763, 4975, 15565, 21427, 2973, 741, 2663, 1023, 1169, 1614, 547, 2947, 1296, 269, 1403, 5072, 616, 1459, 267, 2663, 1023, 1058, 581, 19345, 12422, 269, 589, 14468, 726, 3784, 666, 8524, 513, 1753, 779, 2663, 1023, 585, 1697, 1216, 2095, 543, 2347, 1022, 5826, 610, 18203, 563, 1103, 1840, 267, 3959, 5411, 616, 3743, 585, 912, 9616, 281, 1635, 4975, 3921, 12099, 267, 952, 513, 17055, 1281, 711, 1118, 2877, 18203, 543, 1072, 2152, 616, 4767, 267, 519, 2657, 4972, 786, 17551, 513, 562, 7572, 766, 269, 634, 4975, 786, 1287, 1118, 519, 7816, 543, 3915, 519, 17055, 585, 4074, 3790, 1341, 1839, 18336, 19187, 1399, 5411, 949, 7662, 519, 4975, 8524, 519, 1857, 2427, 540, 519, 29326, 1062, 2899, 513, 1032, 269, 11910, 476, 21327, 268, 5392, 272, 268, 14983, 271, 547, 7662, 713, 3028, 563, 10267, 9535, 519, 4975, 2427, 540, 519, 29326, 3515, 269, 1763, 6342, 949, 1289, 476, 21327, 268, 5392, 272, 268, 14983, 271, 547, 7662, 713, 3028, 2899, 829, 1032, 563, 7628, 1870, 3108, 630, 279, 993, 268, 275, 10681, 267, 631, 6363, 1070, 7264, 666, 912, 7628, 1875, 1532, 5350, 3108, 267, 7264, 666, 912, 2252, 513, 17055, 6487, 972, 616, 5072, 538, 519, 7254, 3202, 543, 7088, 29326, 2663, 1023, 267, 621, 568, 5227, 602, 7601, 23253, 568, 1031, 1979, 268, 2335, 1302, 269, 634, 2489, 942, 18134, 585, 7601, 23253, 3156, 568, 538, 519, 5614, 543, 2887, 1142, 1032, 269, 901, 1587, 666, 581, 12349, 689, 2199, 8800, 8637, 269, 7490, 1224, 519, 10672, 781, 5528, 585, 1697, 7829, 543, 946, 563, 2252, 1449, 751, 324, 15828, 8632, 960, 568, 2877, 593, 4357, 3959, 267, 7264, 949, 3277, 547, 513, 1592, 540, 13931, 25255, 2139, 998, 519, 8490, 4972, 563, 2690, 948, 609, 694, 9955, 1282, 1870, 3108, 1289, 476, 21327, 268, 5392, 272, 268, 14983, 271, 282, 1310, 1870, 3108, 1289, 476, 21327, 268, 5392, 272, 268, 14983, 280, 563, 288, 6777, 18736, 7333, 23352, 9465, 602, 17225, 519, 2702, 540, 4975, 726, 3298, 547, 7561, 543, 4625, 2312, 10754, 540, 6777, 269, 1879, 1212, 9749, 616, 2111, 547, 4628, 726, 578, 519, 10754, 267, 6808, 543, 6595, 6472, 666, 1847, 9108, 543, 3362, 2429, 519, 4975, 563, 763, 1544, 4422, 883, 1198, 950, 6777, 20489, 1079, 6279, 269, 634, 7333, 1281, 711, 4019, 547, 18736, 593, 519, 10754, 5612, 11105, 547, 10685, 4213, 269, 898, 1281, 711, 979, 883, 1198, 2394, 476, 275, 533, 6230, 269, 593, 519, 10754, 1472, 1153, 5656, 950, 1153, 568, 538, 8400, 563, 4537, 6033, 779, 476, 1220, 266, 5195, 540, 2427, 19789, 802, 1118, 621, 513, 3810, 3802, 762, 2749, 269, 589, 1279, 29280, 3921, 12099, 8506, 21427, 547, 2312, 2427, 19789, 802, 538, 4395, 540, 741, 5321, 267, 1519, 7944, 3959, 26193, 15155, 1186, 267, 676, 476, 280, 513, 6230, 269, 519, 1554, 1310, 513, 6777, 6420, 28933, 519, 3802, 1464, 540, 519, 4975, 269, 16176, 602, 8593, 1282, 519, 3105, 3781, 1281, 711, 991, 547, 581, 6569, 1354, 476, 280, 513, 6230, 269, 610, 811, 982, 2899, 513, 1554, 563, 5591, 269, 2201, 10754, 1472, 1153, 5656, 267, 950, 1153, 568, 538, 8400, 267, 18736, 786, 581, 15868, 2394, 476, 275, 533, 6230, 269, 865, 607, 711, 547, 7519, 519, 1153, 1554, 269, 1452, 2127, 1331, 912, 2791, 949, 3346, 519, 17318, 4972, 693, 476, 21327, 268, 5392, 272, 268, 14338, 271, 267, 952, 596, 991, 606, 9868, 563, 4910, 6342, 945, 6288, 538, 519, 8265, 950, 519, 6777, 20489, 1079, 6279, 1223, 4309, 513, 19044, 610, 1265, 602, 741, 6174, 814, 1044, 6287, 539, 538, 1931, 547, 7520, 6777, 21757, 4238, 269, 634, 17318, 786, 2119, 547, 3914, 5411, 540, 6517, 2451, 538, 519, 8265, 865, 789, 666, 581, 6410, 563, 290, 548, 2130, 6777, 689, 811, 982, 476, 1911, 5195, 540, 10754, 568, 519, 10862, 585, 519, 4975, 781, 1212, 9749, 269, 4495, 519, 10754, 616, 2312, 267, 2427, 19789, 802, 786, 581, 726, 15735, 676, 519, 4975, 950, 6777, 10301, 693, 2547, 3670, 6279, 543, 1212, 9749, 616, 2139, 563, 30949, 2427, 19769, 726, 12976, 568, 5342, 538, 519, 1739, 1931, 912, 763, 3506, 616, 3743, 585, 6777, 8851, 593, 741, 1378, 2427, 19789, 802, 269, 2060, 1022, 6777, 6420, 267, 519, 5398, 3718, 6777, 1212, 9749, 960, 547, 1832, 2427, 19769, 16209, 11105, 547, 1153, 2427, 19789, 802, 2312, 267, 607, 1134, 563, 763, 1970, 6808, 4320, 16074, 24024, 519, 7145, 540, 6070, 543, 666, 22009, 2175, 269, 5502, 540, 2892, 1154, 1282, 1346, 3108, 267, 1212, 9749, 726, 578, 547, 1683, 1780, 762, 4155, 1811, 543, 6070, 1152, 28963, 267, 14258, 267, 13123, 543, 15113, 563, 5591, 269, 634, 946, 540, 13324, 6777, 8851, 3937, 568, 513, 1808, 9868, 547, 519, 1876, 10238, 1746, 6469, 1379, 1907, 946, 3735, 693, 3781, 543, 538, 519, 2038, 6640, 3108, 269, 1703, 568, 1100, 942, 19231, 585, 519, 946, 540, 971, 3937, 563, 2467, 616, 1614, 2081, 547, 1867, 513, 14406, 17885, 543, 5924, 9657, 4584, 5346, 912, 23086, 519, 5398, 3718, 1546, 696, 269, 1369, 476, 2190, 3108, 540, 707, 2834, 4584, 5346, 1554, 547, 7662, 4015, 519, 1985, 1554, 269, 27561, 513, 17885, 22812, 19464, 4413, 811, 982, 476, 2190, 3108, 1310, 707, 2834, 1554, 2164, 538, 4584, 5346, 519, 1739, 3018, 563, 273, 269, 7427, 519, 1699, 9657, 4808, 563, 274, 269, 6744, 856, 938, 5993, 9657, 2621, 267, 899, 519, 5600, 3835, 32126, 748, 17904, 18471, 1575, 610, 8950, 18471, 1575, 563, 10387, 841, 5398, 3718, 610, 1289, 476, 21327, 268, 5392, 272, 268, 14983, 271, 547, 7662, 1863, 3039, 9657, 11369, 1115, 269, 5457, 281, 1684, 711, 9126, 6691, 1963, 1765, 548, 1511, 873, 10690, 538, 9657, 11369, 1115, 563, 29128, 5063, 267, 1034, 15229, 13381, 538, 519, 2136, 2276, 941, 2366, 547, 3624, 269, 1809, 607, 540, 5130, 476, 1001, 279, 267, 3624, 3459, 30191, 922, 834, 13233, 4210, 867, 257, 3609, 267, 799, 536, 753, 476, 2190, 2010, 540, 4396, 3653, 267, 1519, 6404, 15229, 543, 6404, 4574, 269, 898, 849, 5036, 513, 1454, 27162, 615, 3044, 585, 12526, 2157, 585, 519, 2326, 3624, 1281, 1869, 3398, 269, 901, 814, 2451, 2950, 2066, 519, 2136, 2276, 538, 513, 12622, 267, 607, 519, 2344, 585, 1978, 6691, 1963, 814, 1044, 1526, 24071, 14320, 269, 10251, 267, 602, 781, 5921, 811, 15229, 910, 1519, 930, 602, 941, 2899, 6691, 762, 910, 1590, 979, 538, 519, 17885, 20193, 781, 849, 5921, 602, 9657, 6703, 910, 1519, 1346, 602, 1184, 6691, 1963, 689, 595, 8500, 1695, 7541, 6019, 910, 616, 25305, 1524, 593, 12526, 269, 18877, 2429, 519, 6019, 267, 1519, 1744, 6033, 1261, 2074, 267, 1590, 2539, 12526, 2157, 610, 1981, 22717, 543, 5924, 741, 6691, 1963, 1373, 2366, 547, 519, 25087, 20136, 2376, 2337, 2491, 519, 1699, 6433, 563, 288, 1297, 3330, 513, 9657, 3090, 1281, 711, 1611, 606, 6221, 1058, 581, 19184, 539, 883, 707, 9657, 19943, 269, 634, 2338, 593, 5068, 11149, 616, 18300, 9479, 1031, 676, 519, 15229, 2872, 547, 2697, 519, 1826, 540, 5068, 1031, 547, 1118, 519, 8708, 269, 10251, 267, 2016, 519, 1699, 2042, 538, 519, 9657, 2344, 711, 782, 15229, 609, 519, 476, 272, 998, 476, 278, 3090, 616, 6691, 762, 693, 713, 942, 269, 1306, 540, 4864, 476, 1001, 279, 267, 7264, 1058, 1152, 22120, 5068, 14569, 543, 795, 13903, 269, 1403, 621, 814, 606, 6679, 610, 513, 8405, 602, 781, 811, 7522, 982, 519, 1560, 267, 621, 666, 581, 5116, 538, 9657, 563, 1103, 930, 2665, 267, 9811, 269, 1280, 1383, 267, 1858, 8637, 910, 1519, 27951, 26267, 267, 19940, 16639, 267, 543, 27010, 910, 3398, 5068, 11435, 543, 5068, 4670, 585, 9657, 269, 7348, 938, 2146, 9657, 2621, 585, 3255, 547, 22120, 2780, 3937, 543, 27054, 4765, 1957, 269, 6833, 571, 290, 19564, 568, 1776, 1259, 547, 22120, 1082, 3688, 711, 4847, 538, 707, 538, 25571, 9657, 8708, 563, 13425, 519, 834, 1432, 798, 594, 798, 609, 3267, 834, 6538, 693, 595, 8500, 1695, 7541, 3725, 31260, 3820, 585, 909, 3562, 15082, 1344, 593, 1141, 2326, 666, 581, 13381, 563, 28716, 595, 8500, 1695, 7541, 1234, 31260, 585, 2143, 1344, 827, 875, 547, 22120, 538, 938, 6019, 267, 1519, 1934, 538, 1744, 6033, 1261, 2074, 269, 1284, 849, 4363, 1739, 519, 595, 8500, 1695, 7541, 6019, 20348, 17904, 10588, 593, 12108, 267, 9365, 610, 17749, 585, 5571, 5796, 543, 1344, 827, 9657, 538, 938, 3148, 563, 763, 6796, 4741, 630, 3725, 19464, 4741, 264, 568, 4092, 693, 476, 14444, 876, 932, 698, 12541, 2349, 341, 323, 563, 306, 4405, 17058, 1299, 9530, 904, 267, 476, 279, 993, 268, 275, 10681, 454, 8923, 4063, 281, 1763, 6342, 949, 3142, 6691, 1963, 547, 519, 6796, 4741, 593, 1312, 590, 4405, 17058, 543, 9530, 904, 269, 14066, 6221, 6749, 1055, 568, 590, 4405, 17058, 1152, 563, 27778, 2313, 4016, 547, 3529, 8371, 543, 27191, 689, 1804, 19211, 269, 7490, 3643, 27817, 267, 23420, 1299, 5696, 2313, 14635, 585, 1344, 593, 8600, 11453, 585, 4584, 909, 676, 938, 1212, 9749, 563, 7197, 2693, 1317, 707, 13452, 3653, 9126, 729, 13572, 609, 513, 1875, 268, 16955, 6221, 269, 634, 4975, 786, 711, 2445, 13452, 3653, 11435, 13572, 609, 1875, 268, 16955, 2326, 269, 595, 4319, 338, 786, 1747, 29654, 2542, 834, 4462, 762, 547, 17292, 5455, 257, 593, 13572, 11435, 269, 1763, 6342, 949, 4894, 519, 12526, 543, 1747, 519, 9126, 856, 585, 6765, 519, 1739, 3018, 269, 7348, 513, 3381, 827, 1018, 12851, 538, 13452, 2914, 4292, 11435, 630, 663, 1018, 3085, 1405, 1040, 16731, 27817, 267, 23420, 1299, 5696, 2313, 14635, 585, 811, 1344, 563, 290, 4319, 338, 786, 849, 711, 2445, 13452, 3653, 11435, 602, 9765, 519, 476, 2412, 11013, 2597, 3970, 563, 8133, 269, 769, 5412, 476, 1001, 280, 267, 1744, 6033, 1261, 2074, 4975, 7027, 9516, 9086, 2278, 1944, 1007, 2199, 29326, 12375, 547, 581, 943, 1078, 538, 936, 2185, 1296, 4358, 538, 476, 1708, 271, 563, 763, 1007, 6378, 13927, 786, 2408, 4358, 609, 519, 1216, 3915, 596, 4309, 538, 4873, 585, 6165, 538, 2904, 476, 1708, 271, 269, 901, 13927, 786, 581, 943, 1078, 538, 936, 2185, 1296, 998, 476, 1708, 274, 269, 634, 10865, 6378, 13927, 786, 2333, 676, 1269, 273, 269, 2004, 1142, 1032, 563, 5591, 269, 901, 568, 519, 1101, 942, 1744, 6033, 1261, 2074, 786, 723, 513, 6378, 29326, 13927, 269, 4033, 2950, 971, 607, 2160, 1261, 2074, 267, 3828, 1231, 7921, 267, 7345, 22810, 543, 3162, 21482, 573, 8415, 6378, 12375, 269, 630, 8698, 513, 5750, 9236, 6378, 12375, 540, 824, 2950, 1916, 763, 1699, 2199, 6165, 2557, 630, 704, 8536, 12945, 3952, 540, 1216, 1031, 610, 14330, 293, 264, 568, 1269, 1015, 269, 2004, 270, 10157, 293, 269, 18786, 609, 519, 1216, 3915, 596, 4309, 538, 4873, 585, 6165, 538, 2904, 476, 1708, 271, 267, 519, 2199, 6165, 630, 10157, 293, 264, 2557, 786, 2333, 676, 476, 2004, 21347, 1142, 1032, 998, 476, 1708, 274, 563, 1103, 1744, 6033, 1261, 2074, 267, 519, 2063, 2199, 14330, 293, 2557, 2333 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2878, 16215, 7170, 281, 7377, 5080, 9418, 1143, 910, 7316, 26135, 2725, 1115, 18712, 4373, 8702, 547, 713, 3078, 1770, 1141, 649, 2263, 519, 1158, 540, 1402, 30642, 1143, 256, 5620, 596, 2479, 2938, 513, 7206, 602, 1500, 596, 798, 513, 5595, 1491, 1317, 621, 6743, 865, 9490, 543, 6397, 286, 2334, 781, 1018, 1402, 30642, 1143, 568, 782, 827, 256, 898, 781, 513, 1826, 540, 2413, 1148, 602, 10905, 2609, 540, 2442, 2528, 609, 5326, 3697, 543, 29737, 2592, 269, 2913, 781, 4685, 883, 713, 4241, 1888, 2439, 1262, 4089, 476, 272, 281, 1548, 568, 7377, 5080, 9418, 1143, 15140, 5331, 952, 596, 6404, 707, 5172, 20419, 3197, 609, 10207, 689, 707, 9909, 610, 3781, 2742, 637, 269, 2334, 781, 1018, 1402, 30642, 626, 5159, 798, 256, 1358, 1711, 11247, 602, 5654, 899, 621, 3357, 2786, 856, 540, 513, 14810, 1158, 267, 855, 849, 2882, 1919, 596, 1522, 1294, 1169, 1554, 267, 899, 2831, 267, 1004, 267, 610, 3615, 780, 3080, 4583, 1402, 30642, 626, 7376, 568, 4460, 27550, 6577, 269, 1261, 19267, 5961, 540, 20036, 28077, 2831, 543, 31119, 267, 855, 1287, 8591, 20868, 543, 28869, 344, 2609, 267, 899, 1480, 4064, 610, 8325, 4522, 269, 901, 5932, 513, 2631, 540, 9814, 543, 2306, 13588, 4898, 1018, 781, 2731, 2469, 593, 538, 519, 4605, 780, 5194, 7376, 267, 10748, 9445, 918, 1177, 30245, 267, 14405, 6690, 609, 2462, 267, 30682, 16654, 4064, 543, 4025, 873, 538, 8966, 5468, 267, 971, 607, 13735, 538, 2230, 610, 11303, 676, 5810, 269, 4173, 960, 24025, 5545, 30841, 2511, 609, 5375, 7506, 267, 2870, 513, 2189, 1413, 780, 1262, 4089, 476, 273, 281, 1215, 568, 7377, 5080, 9418, 1143, 7756, 689, 12465, 5080, 9418, 1143, 15140, 2791, 1522, 581, 11842, 875, 1402, 30642, 1143, 15320, 689, 2757, 30642, 1143, 269, 5637, 6163, 946, 28531, 11052, 543, 2119, 547, 4161, 938, 11994, 540, 4641, 269, 1717, 267, 972, 616, 930, 1883, 3604, 1063, 519, 1079, 780, 25565, 30642, 1235, 267, 899, 30571, 667, 8932, 610, 11412, 2946, 7395, 761, 974, 267, 941, 6766, 676, 22506, 1014, 6530, 543, 8268, 519, 17499, 2247, 538, 741, 1568, 269, 4256, 10367, 1419, 12286, 29737, 543, 23892, 2592, 5921, 547, 8710, 543, 796, 3553, 1479, 13588, 780, 4002, 519, 824, 1688, 267, 1402, 30642, 1235, 2721, 6667, 689, 2442, 2528, 267, 971, 607, 13371, 2835, 267, 3381, 3756, 267, 543, 14318, 269, 2755, 789, 1869, 946, 9490, 543, 6397, 2592, 267, 741, 3804, 568, 1419, 547, 7038, 543, 10508, 2864, 982, 547, 28596, 2620, 2219, 610, 7553, 780, 1262, 4089, 476, 274, 281, 20780, 532, 7377, 5080, 9418, 1143, 883, 2659, 5020, 4373, 3086, 602, 596, 917, 811, 827, 1402, 30642, 1143, 267, 1946, 711, 2119, 1818, 707, 1378, 1402, 30642, 626, 1148, 286, 3371, 616, 930, 3268, 547, 1205, 3323, 1384, 272, 269, 7994, 513, 6249, 281, 6056, 827, 1018, 3344, 540, 2442, 2528, 1719, 596, 1034, 267, 2436, 621, 781, 27568, 267, 18912, 2145, 525, 267, 610, 2257, 5708, 269, 2422, 1346, 4798, 607, 513, 4358, 1448, 585, 707, 11247, 563, 273, 269, 28220, 707, 2856, 281, 8571, 513, 11315, 17250, 540, 707, 5888, 267, 1519, 1022, 3197, 610, 3615, 596, 1616, 547, 1331, 269, 5213, 1405, 5855, 1932, 1454, 827, 3478, 3388, 3501, 693, 1101, 282, 1175, 1445, 593, 13830, 519, 2949, 1745, 540, 707, 4062, 563, 274, 269, 5410, 30642, 2065, 2609, 281, 4495, 596, 723, 513, 2596, 17250, 267, 1376, 4946, 538, 9670, 543, 6397, 2609, 269, 1452, 1223, 581, 3615, 602, 1810, 1405, 7363, 979, 1927, 267, 610, 3197, 5116, 538, 8966, 5468, 563, 275, 269, 15331, 609, 2681, 281, 7591, 1472, 609, 1114, 4778, 543, 27864, 2553, 547, 2285, 707, 11247, 513, 10058, 1413, 269, 5457, 267, 972, 616, 1100, 3652, 950, 621, 2501, 547, 1402, 30642, 1143, 2336, 276, 269, 9523, 707, 5137, 281, 8058, 1055, 707, 8737, 20100, 547, 2828, 543, 1920, 267, 610, 2022, 621, 2228, 547, 2671, 609, 1866, 945, 2648, 1402, 30642, 1143, 269, 5808, 6487, 267, 6148, 835, 1554, 707, 1148, 786, 8300, 2576, 3116, 2439, 1262, 4089, 476, 275, 281, 661, 330, 874, 6652, 529, 5741, 910, 5675, 17826, 27837, 676, 7377, 5080, 9418, 1143, 4373, 2026, 5018, 4505, 267, 552, 330, 874, 6652, 529, 1797, 1210, 1913, 547, 4766, 1945, 4190, 267, 2523, 3308, 1148, 269, 1280, 713, 1788, 267, 596, 786, 2328, 513, 6648, 6273, 676, 513, 1402, 30642, 626, 11247, 780, 5575, 267, 3442, 513, 1402, 30642, 626, 4062, 602, 14753, 547, 596, 269, 898, 1223, 581, 513, 7206, 267, 5373, 267, 17001, 267, 610, 1256, 513, 3059, 3239, 269, 1975, 754, 930, 942, 3168, 5702, 693, 519, 11247, 543, 3206, 827, 922, 4798, 543, 4664, 780, 9202, 267, 1376, 1603, 513, 6648, 1759, 593, 519, 11247, 269, 8347, 547, 7001, 519, 9759, 540, 519, 4062, 538, 707, 1913, 267, 10503, 519, 4778, 267, 5546, 267, 543, 4606, 859, 12097, 676, 519, 1148, 269, 5213, 1405, 5855, 1932, 1454, 827, 1739, 7453, 19621, 3029, 282, 3079, 267, 1577, 707, 5876, 2095, 11884, 780, 7661, 267, 2671, 707, 552, 330, 874, 2858, 545, 6648, 609, 1866, 269, 1411, 1522, 1224, 621, 16965, 693, 513, 6965, 1793, 600, 267, 2022, 621, 2228, 267, 610, 1256, 4159, 621, 1985, 547, 519, 3312, 11247, 630, 5976, 10479, 267, 540, 1576, 1040, 1635, 8220, 1148, 543, 1893, 267, 596, 2811, 10283, 538, 513, 1279, 2245, 540, 3860, 4082, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2108, 9209, 3955, 4533, 687, 892, 568, 606, 5993, 10151, 1148, 1982, 2813, 676, 519, 4975, 540, 22208, 8433, 540, 8551, 1299, 9177, 609, 519, 22208, 4972, 540, 18815, 269, 570, 3637, 1148, 19698, 786, 2709, 3134, 31906, 531, 8090, 540, 9983, 543, 8086, 538, 519, 14175, 1512, 9503, 5101, 8862, 652, 27199, 4011, 3125, 5682, 3118, 1519, 1715, 4591, 569, 267, 30777, 267, 24761, 517, 267, 8235, 6229, 543, 29828, 731, 5244, 269, 1411, 786, 1265, 891, 10151, 1148, 19698, 909, 998, 3967, 269, 476, 273, 267, 476, 1001, 278, 269, 23819, 1090, 8496, 534, 543, 808, 6064, 334, 26232, 600, 9369, 616, 930, 540, 519, 5159, 945, 723, 960, 538, 713, 1788, 269, 1411, 666, 2743, 519, 5159, 543, 4663, 519, 960, 1282, 519, 968, 310, 1779, 1729, 828, 892, 2680, 18799, 676, 32243, 3689, 593, 9045, 1421, 4239, 269, 476, 272, 267, 476, 1001, 277, 689, 476, 1015, 600, 1107, 476, 1321, 10975, 269, 3619, 547, 8940, 8807, 324, 564, 14140, 3820, 585, 3877, 563, 292, 330, 874, 6652, 529, 568, 5259, 585, 519, 1148, 540, 1210, 1913, 547, 4766, 1945, 4190, 267, 2356, 3308, 1148, 269, 968, 292, 330, 874, 2858, 545, 2667, 574, 559, 725, 1107, 15531, 17826, 538, 3203, 892, 568, 606, 7317, 1788, 2966, 547, 3142, 1927, 15023, 267, 5159, 543, 1148, 2000, 13569, 689, 3624, 543, 519, 2475, 269, 634, 1148, 729, 2813, 676, 3670, 4457, 543, 3670, 1977, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 16954, 5080, 9418, 1143, 257, 607, 851, 540, 834, 11286, 1315, 15019, 9177, 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, 1012, 30677, 7010, 543, 14105, 32274, 538, 5124, 692, 1103, 713, 3184, 267, 649, 786, 2263, 519, 1523, 540, 18422, 16439, 543, 875, 621, 666, 581, 8045, 538, 5124, 269, 14105, 16439, 568, 513, 4480, 1031, 547, 2203, 519, 2619, 540, 1769, 998, 1585, 2326, 543, 17103, 269, 898, 568, 4922, 1031, 538, 2780, 12449, 267, 6323, 267, 543, 4702, 269, 769, 1880, 267, 649, 786, 1445, 593, 519, 9781, 540, 9804, 1949, 267, 799, 616, 7768, 540, 1114, 2609, 899, 14485, 267, 19141, 267, 543, 1863, 5624, 780, 2162, 14105, 4147, 692, 2414, 2253, 267, 649, 991, 547, 5581, 513, 1362, 547, 2099, 513, 18422, 540, 1769, 269, 589, 18422, 666, 581, 4330, 676, 922, 2990, 543, 4287, 269, 769, 938, 2013, 267, 649, 786, 2099, 519, 2990, 676, 519, 586, 18396, 15453, 543, 519, 4287, 676, 519, 5086, 4399, 9064, 259, 609, 2463, 547, 519, 9804, 7852, 780, 3499, 7090, 454, 5814, 11885, 607, 5286, 692, 5035, 14105, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 586, 267, 23940, 2187, 1038, 1582, 13885, 815, 5286, 15126, 12169, 994, 1038, 1582, 269, 9064, 815, 5286, 15126, 263, 9064, 994, 7884, 2162, 30677, 15689, 692, 9202, 267, 649, 991, 547, 5581, 5049, 585, 519, 1114, 9804, 2609, 269, 1452, 2609, 786, 2170, 609, 519, 12345, 543, 12189, 741, 3601, 269, 1284, 786, 2015, 1614, 2010, 540, 2609, 281, 10453, 267, 14485, 267, 543, 1863, 5624, 780, 2971, 32167, 559, 692, 288, 20194, 568, 606, 27934, 602, 7182, 519, 2450, 540, 519, 1769, 11237, 269, 769, 938, 2203, 267, 649, 786, 2099, 513, 20194, 676, 922, 8953, 1269, 337, 10608, 1879, 513, 18422, 25998, 609, 513, 20194, 267, 649, 2638, 952, 922, 586, 18396, 15453, 568, 1369, 519, 8953, 269, 1403, 621, 568, 267, 519, 18422, 568, 4847, 547, 1780, 998, 282, 6382, 267, 621, 568, 17808, 780, 3499, 7090, 454, 5035, 32167, 559, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 678, 2187, 1038, 1582, 25331, 815, 678, 454, 1038, 1582, 4877, 815, 7183, 476, 1948, 901, 786, 4558, 519, 18422, 8429, 4567, 692, 825, 1219, 6449, 322, 718, 9191, 1345, 267, 18422, 2187, 1038, 586, 815, 18422, 13885, 6983, 4878, 4590, 1038, 1582, 4877, 815, 630, 1345, 25331, 910, 5286, 269, 11274, 12169, 264, 3436, 476, 271, 994, 1038, 2132, 18422, 454, 7884, 2971, 30776, 692, 288, 7828, 568, 606, 9804, 3693, 602, 18195, 338, 1769, 269, 769, 938, 2203, 267, 649, 786, 2099, 513, 7828, 676, 922, 17122, 3259, 1269, 325, 10608, 1879, 513, 18422, 25998, 609, 513, 7828, 267, 922, 5086, 4399, 9064, 259, 568, 9168, 2687, 547, 519, 3830, 1384, 16465, 24592, 815, 1422, 2117, 7562, 7268, 7562, 7268, 9064, 264, 910, 586, 1315, 1422, 6912, 26635, 317, 273, 1341, 535, 317, 273, 348, 994, 9681, 1607, 3830, 568, 6508, 689, 10965, 749, 781, 1876, 543, 519, 9511, 540, 519, 7828, 780, 3499, 7090, 454, 5035, 30776, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 535, 2187, 1038, 1582, 8807, 815, 535, 454, 1038, 1582, 4877, 815, 7183, 476, 1948, 901, 786, 4558, 519, 18422, 8429, 4567, 692, 825, 1219, 6449, 322, 718, 9191, 1345, 267, 18422, 2187, 1038, 586, 815, 18422, 13885, 6983, 4878, 4590, 1038, 23940, 815, 18422, 269, 9064, 6983, 4878, 4590, 1038, 546, 12978, 5091, 343, 815, 910, 586, 1315, 5286, 28460, 12169, 1262, 273, 1341, 1582, 8807, 1262, 273, 994, 1038, 23940, 815, 5286, 269, 2117, 7562, 18828, 4732, 514, 263, 9064, 264, 1341, 546, 12978, 5091, 343, 994, 1038, 2132, 14105, 12169, 267, 23940, 994, 7884, 2971, 5131, 6611, 692, 10403, 2230, 568, 519, 3148, 1063, 9804, 2609, 269, 769, 938, 2203, 267, 649, 786, 2099, 1863, 2230, 676, 922, 3259, 1269, 323, 10608, 1879, 513, 18422, 12599, 998, 1863, 2230, 267, 922, 2990, 1269, 344, 259, 568, 8242, 2687, 547, 519, 3830, 1384, 16465, 344, 815, 586, 1341, 546, 1422, 11927, 7268, 9064, 994, 9681, 3499, 7090, 454, 5035, 5131, 22129, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 546, 2187, 1038, 1582, 6155, 815, 546, 692, 825, 1219, 6449, 322, 718, 9191, 1345, 267, 18422, 2187, 1038, 586, 815, 18422, 13885, 6983, 4878, 4590, 1038, 23940, 815, 18422, 269, 9064, 6983, 4878, 4590, 1038, 586, 6834, 1582, 6155, 2608, 5286, 6745, 534, 263, 9064, 994, 1038, 2132, 14105, 12169, 267, 23940, 994, 7884, 2162, 14105, 32274, 23990, 692, 3086, 602, 649, 723, 3989, 938, 9804, 2609, 267, 649, 666, 2936, 519, 18422, 16439, 5690, 269, 634, 5690, 5161, 540, 519, 1739, 3268, 1384, 272, 269, 19461, 1125, 513, 18422, 609, 513, 2016, 2990, 543, 4287, 563, 273, 269, 1280, 1142, 9804, 3693, 538, 519, 1062, 912, 567, 513, 269, 1403, 519, 3693, 568, 513, 20194, 267, 2638, 952, 519, 18422, 10596, 998, 269, 1403, 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 ]
[ 0, 1432, 568, 4750, 532, 888, 288, 30998, 3758, 1062, 568, 513, 3758, 1062, 602, 8952, 3950, 540, 519, 2242, 602, 786, 581, 1500, 538, 513, 4760, 630, 17141, 513, 9764, 2845, 538, 513, 6131, 1858, 540, 519, 3758, 1062, 264, 1354, 22867, 873, 547, 519, 1292, 3758, 1062, 269, 769, 519, 2680, 540, 513, 1062, 16154, 610, 1379, 5821, 267, 971, 3758, 1949, 616, 18334, 547, 3142, 1394, 2228, 543, 1447, 2693, 547, 1831, 18348, 539, 563, 26794, 540, 513, 4750, 532, 28567, 2448, 454, 2467, 616, 513, 1297, 540, 5383, 547, 1210, 513, 30998, 6119, 1062, 563, 13828, 519, 2450, 543, 4320, 540, 1239, 6740, 593, 12210, 11479, 814, 6738, 28354, 936, 519, 1296, 269, 634, 1966, 609, 513, 1875, 18191, 16067, 539, 3758, 1062, 568, 602, 1739, 513, 16154, 519, 535, 338, 1188, 630, 325, 3796, 2448, 11007, 2638, 264, 10626, 814, 547, 581, 2196, 269, 535, 338, 1188, 786, 11571, 519, 3003, 6119, 2448, 4570, 908, 782, 13366, 543, 1818, 2386, 602, 7161, 616, 21248, 543, 26518, 7157, 269, 1403, 621, 9060, 513, 18348, 7127, 621, 786, 3801, 547, 4368, 519, 1966, 269, 634, 2152, 1934, 616, 1079, 24670, 269, 17616, 267, 519, 535, 338, 1188, 10626, 786, 711, 2141, 581, 2111, 547, 7816, 3441, 543, 596, 786, 1439, 909, 609, 1239, 538, 519, 4503, 266, 11398, 15682, 269, 901, 568, 1239, 602, 729, 1373, 1031, 676, 606, 3498, 855, 519, 1062, 1100, 3476, 6487, 1141, 789, 941, 4704, 689, 269, 634, 824, 1966, 568, 519, 3390, 540, 942, 269, 898, 666, 1491, 513, 1360, 1279, 942, 547, 2347, 519, 535, 338, 1188, 1184, 593, 513, 1804, 3758, 1062, 3056, 547, 30849, 1524, 942, 563, 288, 4760, 539, 3758, 1062, 5638, 1344, 538, 513, 2845, 1858, 593, 513, 12210, 630, 1492, 4760, 543, 2845, 798, 711, 991, 547, 581, 593, 519, 1482, 3926, 264, 1282, 1142, 2328, 269, 901, 568, 513, 9247, 606, 968, 842, 550, 547, 3479, 892, 1239, 547, 519, 6119, 2448, 269, 634, 2179, 540, 1344, 29429, 568, 8848, 9092, 543, 9832, 689, 711, 19883, 4376, 267, 547, 19883, 1018, 568, 1634, 607, 519, 968, 5471, 20631, 892, 630, 328, 4318, 269, 9562, 267, 4266, 16826, 1344, 3092, 13776, 547, 19883, 519, 968, 5471, 20631, 892, 543, 519, 1239, 7161, 602, 616, 547, 581, 2854, 547, 519, 3758, 269, 4495, 519, 2845, 568, 8242, 519, 1062, 1287, 11339, 519, 4890, 1239, 547, 519, 3617, 2127, 540, 519, 6119, 2448, 543, 7436, 606, 7127, 538, 519, 2845, 547, 2161, 519, 1239, 568, 8149, 563, 11514, 23955, 540, 513, 4750, 539, 28567, 2448, 454, 301, 5847, 538, 1272, 568, 568, 1863, 543, 970, 274, 543, 4760, 539, 6119, 2448, 338, 616, 1100, 9868, 547, 519, 4341, 269, 634, 7887, 2721, 3724, 540, 30998, 568, 538, 519, 1858, 540, 2773, 3274, 1317, 811, 12210, 11339, 616, 2838, 547, 4558, 1344, 538, 519, 2845, 269, 769, 2259, 267, 2705, 267, 8259, 596, 616, 4881, 1062, 1141, 12210, 2773, 568, 11613, 2565, 519, 2773, 3017, 786, 581, 30050, 269, 0, 30789, 707, 5639, 2635, 6238, 609, 5329, 707, 3003, 1560, 2635, 269, 634, 5639, 568, 8659, 1369, 519, 1560, 267, 865, 1739, 513, 7059, 2732, 267, 3478, 7850, 3207, 267, 543, 4227, 2566, 616, 782, 10569, 547, 5329, 707, 1560, 543, 5639, 2635, 269, 7327, 619, 1058, 2057, 4430, 14933, 267, 7296, 267, 4616, 540, 4568, 543, 5061, 269, 28246, 3458, 5446, 267, 6340, 267, 7900, 538, 10978, 610, 22125, 4025, 1510, 1697, 29208, 267, 543, 13465, 585, 513, 12675, 2179, 540, 942, 1510, 1964, 1058, 782, 581, 14284, 269, 7327, 619, 1058, 2141, 3251, 19872, 676, 6704, 29881, 1216, 267, 543, 2119, 547, 3251, 2476, 689, 24494, 10425, 543, 897, 553, 563, 3080, 6823, 14633, 13047, 4245, 2786, 689, 519, 4313, 540, 707, 1378, 1753, 616, 513, 1390, 1259, 547, 1451, 547, 875, 547, 2206, 269, 476, 3445, 260, 540, 938, 1053, 3442, 547, 1491, 4245, 689, 1753, 267, 6140, 1813, 547, 519, 13418, 540, 711, 2348, 547, 1118, 2951, 12417, 1312, 547, 543, 689, 741, 4245, 269, 901, 568, 1390, 585, 3237, 543, 1053, 609, 11112, 16131, 269, 634, 1543, 540, 1753, 4245, 568, 4010, 519, 1482, 607, 18638, 4245, 267, 1141, 1053, 786, 960, 593, 4480, 543, 5751, 269, 5851, 4245, 1683, 519, 1655, 1565, 1604, 267, 607, 621, 568, 513, 6899, 267, 5432, 4478, 585, 1053, 547, 1451, 538, 563, 10743, 786, 1451, 543, 1020, 1434, 267, 2922, 543, 2413, 13047, 4480, 1282, 741, 13047, 4245, 269, 634, 2832, 568, 547, 1205, 1053, 547, 581, 2111, 547, 2206, 1510, 8833, 267, 9636, 540, 1526, 9689, 267, 2429, 519, 2898, 540, 741, 2039, 267, 538, 1883, 543, 538, 513, 2973, 267, 2407, 3280, 532, 3159, 910, 543, 1287, 4019, 891, 2553, 547, 13465, 8964, 610, 1585, 11964, 269, 4841, 786, 1451, 875, 547, 8115, 543, 1921, 741, 13047, 27861, 538, 1931, 547, 4228, 741, 13047, 2039, 267, 1039, 5854, 6737, 547, 741, 13465, 543, 1451, 875, 547, 5265, 1489, 519, 5639, 538, 1931, 547, 2206, 1279, 15102, 543, 1711, 513, 2178, 267, 2407, 3280, 532, 13047, 3159, 269, 3776, 3610, 666, 849, 948, 1053, 945, 723, 25122, 2042, 676, 10647, 5751, 602, 960, 593, 741, 12334, 269, 16497, 786, 849, 3382, 7574, 3069, 267, 2773, 4388, 543, 13047, 2360, 267, 971, 607, 2922, 5854, 6737, 543, 3384, 13047, 22231, 998, 8255, 543, 25361, 269, 4841, 666, 849, 1451, 2575, 3069, 543, 13047, 17550, 563, 3849, 738, 5639, 4245, 798, 811, 982, 4001, 596, 875, 547, 2206, 1732, 269, 1358, 849, 5965, 596, 585, 12644, 267, 2912, 1431, 543, 19194, 269, 4053, 11986, 5639, 16929, 723, 6707, 6026, 543, 5423, 1053, 547, 2912, 819, 585, 634, 20429, 267, 1977, 16740, 565, 267, 2473, 6363, 18503, 543, 824, 4641, 13465, 2982, 269, 5410, 707, 2012, 547, 519, 1592, 540, 1967, 2984, 950, 596, 1491, 5639, 4245, 269, 7994, 627, 31295, 9135, 596, 1616, 267, 982, 1450, 16929, 547, 948, 596, 3442, 519, 8964, 602, 616, 1655, 585, 707, 5639, 269, 20429, 4245, 849, 4001, 596, 875, 547, 1852, 707, 5639, 267, 3501, 707, 7244, 543, 1416, 585, 707, 13047, 27871, 269, 30771, 707, 13465, 2702, 543, 5965, 585, 2621, 950, 596, 1491, 2937, 5639, 4245, 563, 306, 15781, 585, 12257, 610, 607, 513, 3924, 568, 835, 14810, 1082, 3214, 723, 269, 1677, 581, 3811, 267, 789, 991, 5639, 4245, 267, 855, 513, 1126, 268, 12814, 338, 5639, 3884, 268, 12814, 339, 4712, 585, 13047, 2866, 2394, 519, 1126, 814, 6603, 23648, 269, 2311, 602, 942, 267, 519, 5639, 568, 9921, 2614, 547, 10929, 2834, 13465, 267, 13047, 5751, 543, 824, 6551, 832, 2404, 609, 5639, 4245, 269, 1284, 4363, 3214, 7227, 2394, 789, 616, 693, 2547, 476, 1556, 610, 476, 1321, 1354, 789, 1376, 5639, 4245, 269, 3776, 16929, 666, 1287, 1683, 519, 10531, 6044, 707, 1126, 2115, 1247, 646, 610, 1352, 5083, 1132, 519, 7872, 540, 513, 3924, 538, 5639, 2773, 269, 0, 1103, 15230, 1875, 28921, 2249, 10305, 543, 12289, 6708, 281, 6313, 519, 2956, 540, 10286, 2450, 454, 20684, 1101, 3370, 2228, 281, 476, 272, 590, 7968, 476, 1001, 272, 454, 15100, 476, 1001, 272, 4139, 5948, 585, 17164, 566, 3163, 454, 22711, 540, 17164, 566, 3163, 454, 24127, 476, 2537, 267, 17136, 476, 272, 267, 3817, 476, 3451, 1700, 2412, 267, 5988, 476, 1001, 273, 454, 1692, 547, 25737, 454, 288, 330, 553, 10440, 267, 631, 1421, 28635, 3385, 267, 631, 1421, 14173, 698, 11867, 267, 681, 1421, 594, 3258, 20076, 267, 670, 269, 630, 1001, 273, 1070, 12833, 5297, 1875, 28921, 2249, 10305, 543, 12289, 6708, 281, 6313, 519, 2956, 540, 10286, 2450, 269, 4750, 540, 17164, 566, 3163, 267, 476, 2537, 281, 476, 3451, 1700, 2412, 269, 8222, 281, 476, 1015, 269, 9340, 272, 10768, 269, 13679, 275, 268, 8099, 274, 269, 1001, 272, 269, 25320, 3953, 11859, 454, 268, 17136, 3370, 2228, 281, 476, 280, 808, 3198, 476, 1001, 273, 454, 268, 9137, 1101, 3370, 2228, 281, 476, 272, 590, 7968, 476, 1001, 272, 454, 268, 2494, 11245, 20504, 539, 281, 476, 279, 808, 8085, 476, 1001, 272, 454, 268, 2494, 11245, 1234, 18727, 281, 476, 2764, 6673, 305, 476, 1001, 272, 454, 268, 5113, 3194, 543, 5303, 4886, 269, 16827, 7089, 281, 590, 280, 268, 272, 454, 268, 18143, 12289, 3248, 268, 1401, 5328, 2371, 3248, 268, 670, 758, 330, 4660, 334, 282, 3567, 3248, 268, 5020, 3620, 626, 800, 7592, 3248, 268, 5839, 549, 1815, 1108, 282, 17361, 13829, 3248, 268, 23268, 2450, 454, 2710, 3604, 538, 2249, 10305, 2491, 519, 8390, 538, 12289, 6708, 1851, 1875, 28921, 2030, 2249, 286, 6904, 10305, 540, 519, 12289, 1184, 8858, 4336, 21341, 543, 799, 798, 711, 888, 295, 758, 330, 4660, 334, 840, 2739, 675, 267, 7187, 3567, 563, 2171, 7229, 519, 12289, 6708, 540, 476, 22332, 1875, 28921, 2030, 2249, 1759, 593, 1989, 1342, 539, 7851, 693, 1614, 1114, 8901, 10253, 630, 326, 1778, 2450, 540, 5111, 476, 273, 5998, 6398, 476, 273, 5998, 267, 476, 1015, 5998, 6398, 476, 1015, 5998, 543, 476, 3199, 5998, 6398, 476, 3199, 5998, 1040, 17716, 1063, 519, 12289, 6708, 540, 476, 22332, 1875, 28921, 2030, 2249, 543, 741, 10305, 602, 616, 2693, 547, 3986, 4367, 630, 16058, 946, 543, 4367, 1974, 1070, 10661, 630, 19417, 267, 804, 517, 1275, 267, 15325, 543, 1272, 1106, 264, 543, 7269, 630, 23092, 2450, 267, 4367, 1974, 264, 941, 11117, 1210, 29981, 9695, 563, 296, 337, 637, 8826, 540, 10286, 2450, 267, 1875, 28921, 2249, 609, 804, 517, 1275, 267, 1346, 1031, 607, 535, 617, 1457, 610, 585, 30120, 267, 543, 1346, 609, 513, 13840, 4505, 4367, 1974, 1185, 3648, 3677, 12289, 970, 757, 982, 2249, 1510, 971, 10305, 269, 769, 4334, 267, 6079, 2450, 267, 799, 568, 1644, 547, 3811, 7269, 267, 729, 11874, 17047, 609, 12289, 6708, 543, 729, 1713, 1152, 693, 519, 20923, 10286, 563, 5978, 2164, 2303, 602, 519, 4527, 540, 4336, 17466, 6114, 540, 519, 2249, 10305, 593, 741, 10286, 2450, 949, 581, 3361, 676, 519, 12289, 1184, 547, 799, 519, 14487, 568, 1644, 269, 1879, 3384, 2489, 3652, 585, 1045, 553, 4369, 267, 3173, 1590, 2015, 519, 10286, 2450, 693, 799, 519, 12289, 6708, 568, 7229, 269, 0, 295, 520, 6816, 267, 538, 7187, 8235, 12309, 267, 568, 1631, 513, 21224, 2666, 585, 524, 768, 528, 1218, 267, 4171, 15755, 28797, 7166, 4054, 543, 26965, 563, 263, 8512, 835, 540, 1079, 994, 289, 12788, 23615, 4959, 299, 13263, 4534, 634, 2899, 3146, 11471, 18369, 543, 829, 577, 21996, 1934, 616, 1175, 513, 3965, 267, 979, 6277, 1194, 909, 676, 9937, 540, 5215, 540, 2462, 267, 3109, 11362, 5017, 602, 666, 3548, 811, 982, 741, 1378, 2597, 538, 3165, 538, 513, 3018, 563, 306, 1636, 543, 5010, 29940, 543, 9235, 4690, 1616, 519, 1533, 543, 5313, 6608, 547, 2759, 519, 1297, 540, 5595, 29931, 23264, 524, 768, 528, 1218, 1472, 519, 2142, 11232, 6816, 1895, 676, 3368, 267, 9870, 519, 476, 790, 540, 6177, 18798, 543, 3662, 8573, 2074, 15628, 945, 2161, 519, 524, 768, 528, 1218, 5749, 1405, 693, 519, 3597, 540, 519, 1966, 563, 763, 15539, 568, 2943, 1776, 1383, 540, 875, 1919, 649, 1705, 547, 3441, 519, 4279, 20463, 538, 519, 2250, 666, 2097, 1394, 547, 2014, 2042, 602, 649, 2760, 17191, 563, 763, 10195, 540, 713, 8235, 12309, 2895, 28396, 476, 1789, 5195, 21369, 689, 4077, 4582, 334, 1460, 3984, 1018, 949, 581, 519, 16437, 652, 5834, 540, 519, 2462, 267, 3109, 11362, 5017, 593, 519, 11782, 267, 606, 6059, 476, 2004, 267, 1822, 602, 3548, 827, 476, 280, 2929, 6550, 540, 3165, 689, 519, 4478, 7297, 689, 5614, 998, 2887, 563, 297, 27889, 25024, 267, 519, 6532, 16943, 267, 1767, 267, 834, 2171, 2899, 1185, 513, 1158, 1362, 1507, 17625, 13278, 344, 1934, 269, 3767, 596, 666, 3165, 782, 1554, 1510, 20414, 835, 269, 1284, 1869, 723, 1434, 2338, 540, 4832, 14666, 267, 519, 1004, 945, 2097, 547, 9114, 593, 519, 11824, 267, 855, 5614, 543, 2887, 9235, 729, 3592, 782, 29940, 267, 543, 789, 2811, 8854, 4799, 290, 768, 528, 1218, 616, 6870, 896, 27436, 6177, 21308, 543, 3112, 581, 7166, 1510, 10479, 689, 519, 772, 2529, 269, 12551, 543, 13812, 6796, 269, 10960, 2924, 15628, 543, 6177, 18798, 723, 1500, 11318, 524, 768, 528, 1218, 513, 2014, 524, 2946, 331, 11726, 3691, 267, 543, 519, 2587, 6840, 2161, 519, 667, 24520, 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 ]
[ 1413, 693, 3026, 31337, 6805, 513, 16263, 267, 596, 2230, 3168, 693, 621, 607, 621, 6743, 693, 519, 1360, 2547, 476, 275, 3108, 3516, 2336, 1692, 17890, 6496, 621, 1491, 513, 28805, 1222, 547, 1491, 7552, 547, 3026, 31337, 888, 18744, 835, 14361, 267, 30576, 4526, 476, 273, 267, 814, 10272, 3026, 31337, 4061, 2484, 269, 634, 14612, 607, 2673, 1927, 476, 274, 267, 1822, 5195, 630, 275, 267, 31405, 5998, 264, 936, 3026, 31337, 779, 943, 756, 383, 361, 322, 18635, 269, 30576, 4526, 476, 273, 3576, 476, 1321, 1296, 547, 2097, 693, 3026, 31337, 563, 23277, 2153, 1475, 17442, 4875, 11261, 1475, 3725, 3737, 3026, 31337, 1475, 9199, 767, 5384, 2008, 347, 309, 1195, 4526, 476, 273, 1475, 20606, 476, 736, 267, 476, 3192, 278, 1475, 20606, 476, 1839, 267, 476, 2735, 280, 1475, 1321, 1296, 543, 849, 476, 276, 2395, 2008, 1692, 17890, 568, 513, 2816, 593, 3026, 31337, 888, 10468, 31337, 29226, 642, 513, 3432, 540, 476, 273, 269, 6924, 5998, 4882, 269, 2311, 713, 3432, 267, 3026, 31337, 3217, 1175, 476, 1626, 31477, 547, 9096, 513, 10047, 9625, 1657, 922, 7852, 2443, 602, 779, 1175, 875, 1279, 513, 960, 593, 519, 3618, 568, 563, 15612, 908, 519, 2450, 540, 513, 960, 568, 2944, 676, 8647, 856, 513, 4541, 779, 24364, 3432, 267, 4122, 676, 2268, 519, 24364, 3432, 540, 519, 4295, 269, 901, 568, 811, 9157, 585, 4672, 23766, 1813, 547, 519, 1249, 602, 789, 723, 2965, 513, 854, 2370, 4396, 1292, 1448, 1266, 5285, 539, 676, 476, 5390, 6106, 267, 798, 621, 4101, 547, 3489, 4977, 7403, 563, 1692, 17890, 568, 513, 5729, 9625, 1657, 3026, 31337, 888, 10468, 31337, 3217, 476, 13679, 3618, 1296, 547, 10739, 519, 6129, 269, 2755, 513, 2816, 593, 3026, 31337, 568, 1454, 10156, 982, 519, 593, 3047, 267, 922, 1032, 568, 1454, 3476, 269, 901, 1259, 602, 3026, 31337, 29226, 1454, 5488, 982, 3047, 2943, 25057, 519, 6129, 811, 7444, 563, 6701, 1703, 12405, 593, 3026, 31337, 888, 10468, 31337, 568, 21266, 1540, 676, 476, 3066, 5232, 269, 4706, 30212, 28550, 24673, 609, 922, 606, 3573, 1032, 6205, 547, 476, 2412, 4458, 17489, 12405, 593, 519, 4541, 563, 7628, 4832, 267, 3026, 31337, 11392, 606, 970, 7943, 593, 519, 21571, 6849, 519, 6129, 267, 543, 849, 3744, 723, 4767, 602, 922, 6531, 13164, 1205, 17321, 607, 4832, 22264, 563, 7197, 3078, 568, 519, 3026, 31337, 2833, 5712, 693, 782, 1317, 621, 11392, 476, 12010, 2053, 1454, 1447, 7943, 14091, 367, 368, 30319, 3047, 1281, 269, 634, 4541, 11338, 14747, 930, 3665, 12119, 2242, 543, 849, 18979, 12798, 540, 5111, 476, 5611, 271, 5998, 10774, 267, 519, 8129, 540, 799, 4055, 15458, 563, 10468, 31337, 568, 519, 21632, 267, 543, 849, 3803, 267, 3618, 689, 519, 6129, 543, 25057, 938, 5182, 693, 606, 11667, 3845, 540, 476, 273, 269, 8064, 5479, 13304, 630, 275, 269, 5392, 5385, 2557, 5998, 1040, 2311, 713, 1804, 3845, 267, 3026, 31337, 3217, 3274, 476, 1626, 3108, 547, 2347, 835, 10047, 1472, 922, 7852, 267, 2705, 513, 606, 3573, 476, 13679, 4541, 1296, 547, 9096, 835, 10739, 10199, 519, 6129, 563, 10214, 538, 9625, 713, 3845, 267, 3026, 31337, 2833, 782, 476, 275, 12405, 2443, 4832, 267, 5162, 267, 2887, 267, 543, 5614, 267, 1927, 593, 3047, 267, 824, 982, 1142, 4005, 21018, 585, 476, 2412, 1279, 1296, 1813, 547, 3026, 31337, 779, 10739, 563, 8450, 811, 281, 853, 1551, 6019, 24184, 16958, 21586, 9835, 324, 4975, 570, 343, 8899, 20677, 24184, 454, 309, 1195, 4526, 476, 273, 568, 519, 1152, 14361, 602, 814, 2965, 10272, 3026, 31337, 4061, 2484, 267, 543, 621, 1491, 621, 476, 1321, 1032, 547, 1205, 972, 269, 0, 3674, 600, 340, 968, 9209, 892, 1744, 756, 599, 4821, 10150, 606, 7329, 22690, 545, 6689, 538, 18475, 2443, 10068, 593, 9530, 904, 609, 1010, 4651, 543, 2469, 547, 13836, 338, 3756, 543, 2921, 3440, 3336, 15472, 4245, 609, 1010, 14552, 543, 19946, 269, 5681, 11302, 941, 6170, 676, 519, 11824, 538, 18932, 11910, 7776, 563, 288, 2034, 22831, 5545, 3131, 12320, 1014, 267, 1744, 756, 599, 4821, 267, 1010, 3237, 543, 2947, 16254, 267, 941, 20354, 1759, 538, 7799, 320, 267, 1141, 1010, 3237, 13234, 513, 19135, 1104, 532, 543, 5663, 1870, 269, 1358, 5030, 538, 513, 2777, 609, 22063, 543, 12103, 1749, 267, 543, 941, 9141, 1472, 519, 3854, 2749, 676, 513, 669, 879, 11738, 584, 269, 1358, 941, 267, 676, 1034, 6589, 267, 11981, 513, 12560, 543, 25133, 1272, 267, 2394, 2443, 1510, 9963, 2443, 519, 3003, 1920, 729, 3144, 883, 26692, 1282, 2622, 2782, 4083, 563, 26589, 609, 476, 273, 267, 1822, 824, 5824, 5545, 2443, 519, 5354, 540, 873, 689, 18475, 2443, 519, 1744, 756, 599, 4821, 1920, 729, 1033, 7134, 676, 7128, 543, 25855, 547, 519, 2136, 2276, 607, 851, 540, 513, 2370, 8153, 26956, 5385, 1982, 896, 519, 15284, 667, 269, 17619, 7245, 563, 3412, 9712, 2299, 1310, 519, 26645, 540, 23421, 23320, 267, 17619, 9783, 30814, 1160, 743, 600, 725, 476, 21857, 276, 267, 476, 21857, 277, 543, 476, 21857, 278, 267, 799, 17101, 519, 772, 2529, 269, 2229, 547, 1033, 664, 968, 13607, 1113, 569, 5906, 10546, 30659, 2223, 2687, 547, 1344, 3177, 676, 15284, 667, 269, 17619, 30814, 7732, 563, 763, 674, 11403, 7245, 2417, 3467, 267, 968, 517, 519, 4493, 540, 8280, 7371, 8879, 3354, 2223, 6035, 547, 2028, 16957, 569, 5906, 10546, 30659, 2713, 538, 5824, 1977, 2477, 593, 5667, 889, 560, 656, 7007, 10997, 563, 5415, 982, 476, 1428, 5824, 1977, 2477, 7608, 519, 2709, 543, 1244, 9285, 513, 2698, 540, 476, 277, 267, 7785, 2043, 540, 5545, 267, 4436, 543, 7969, 16350, 547, 519, 772, 2529, 269, 585, 2028, 618, 563, 1320, 1348, 338, 540, 1686, 454, 306, 3031, 599, 4821, 729, 476, 1724, 1296, 2025, 950, 1010, 22594, 2443, 849, 2713, 538, 519, 2823, 2749, 540, 11910, 7776, 2443, 941, 9676, 538, 476, 3707, 273, 543, 585, 322, 4601, 16487, 547, 1530, 698, 990, 4068, 267, 7147, 269, 1358, 941, 1031, 538, 513, 3984, 720, 5385, 543, 6038, 25855, 1394, 547, 2112, 2389, 1941, 3567, 267, 1141, 789, 5030, 856, 519, 1964, 540, 741, 2729, 563, 2108, 7069, 4651, 6170, 1010, 28782, 609, 873, 267, 789, 941, 1360, 2673, 267, 543, 646, 2760, 3893, 547, 1294, 1010, 22594, 1586, 2223, 3203, 1744, 756, 599, 4821, 779, 8250, 267, 645, 2131, 7288, 1744, 756, 599, 4821, 267, 1767, 563, 1607, 6825, 519, 4098, 540, 606, 818, 706, 748, 3460, 585, 519, 1744, 756, 599, 4821, 1920, 4171, 2984, 2443, 543, 865, 1082, 1866, 2443, 616, 16060, 22805, 741, 1259, 883, 519, 5958, 540, 519, 4182, 779, 6932, 7489, 1977, 1686, 267, 835, 25864, 6026, 543, 267, 2394, 1631, 267, 2370, 1634, 563, 288, 4484, 5385, 1063, 1287, 27138, 2529, 269, 14199, 540, 3557, 24778, 749, 670, 1638, 543, 17619, 267, 18584, 4119, 269, 476, 2767, 267, 476, 3707, 273, 267, 4951, 513, 4901, 827, 27300, 1977, 4961, 538, 2477, 896, 5545, 13567, 676, 11488, 968, 719, 5545, 538, 519, 1482, 7274, 2223, 670, 1638, 5206, 563, 4263, 519, 1439, 540, 519, 19359, 670, 1638, 6035, 1010, 1489, 547, 3136, 519, 3984, 720, 5385, 6876, 543, 3646, 547, 968, 24525, 782, 519, 5545, 689, 891, 1977, 1065, 28362, 923, 2477, 585, 2028, 618, 538, 519, 2136, 2276, 2223, 4946, 267, 968, 2005, 1058, 28703, 538, 2247, 602, 1022, 8851, 689, 3162, 3013, 786, 2154, 519, 946, 540, 513, 6077, 585, 1896, 16831, 1137, 1063, 519, 7178, 5032, 543, 1715, 20252, 3034, 306, 3031, 599, 4821, 779, 4651, 267, 945, 5828, 5128, 538, 950, 646, 1336, 856, 519, 7128, 1185, 3144, 1010, 7385, 543, 8250, 267, 4604, 539, 519, 772, 2529, 269, 8136, 3560, 6928, 18010, 2059, 609, 1010, 1920, 585, 513, 476, 2641, 6377, 3460, 547, 1715, 20252, 563, 26796, 12625, 538, 519, 2136, 2276, 267, 741, 10707, 6054, 941, 25868, 5612, 543, 519, 772, 2529, 269, 2229, 10294, 873, 10363, 30659, 269, 1358, 1287, 3576, 513, 5721, 547, 32423, 4975, 267, 7147, 267, 1141, 789, 941, 4371, 538, 7890, 13122, 2394, 519, 1439, 540, 519, 2112, 563, 22873, 6053, 267, 519, 3131, 12320, 1014, 2229, 1705, 711, 1450, 519, 1920, 779, 2132, 2016, 519, 7839, 4550, 11219, 17702, 18941, 538, 5824, 3013, 563, 26170, 16363, 10363, 30659, 267, 519, 772, 2529, 269, 12219, 547, 1244, 677, 873, 547, 513, 2112, 268, 9545, 3042, 3567, 267, 513, 2197, 1744, 756, 599, 4821, 543, 1010, 16254, 1185, 2760, 1634, 269, 3571, 1920, 10692, 1244, 677, 566, 609, 519, 948, 540, 18607, 31722, 19811, 540, 519, 1977, 6406, 19115, 625, 5742, 543, 538, 519, 1439, 1152, 513, 19625, 7307, 547, 2132, 547, 18475, 563, 17829, 602, 18423, 538, 519, 2276, 7608, 13384, 832, 4721, 689, 1530, 629, 549, 758, 10787, 916, 267, 513, 10448, 24386, 3484, 538, 1715, 14948, 269, 2991, 2324, 972, 585, 1296, 267, 519, 1744, 756, 599, 4821, 1920, 5555, 12306, 538, 9628, 563, 2414, 1010, 9983, 267, 1744, 756, 599, 4821, 729, 31751, 676, 519, 772, 2529, 269, 8136, 607, 606, 10363, 9813, 538, 476, 4198, 273, 543, 729, 8956, 2406, 26809, 1079, 1296, 2663, 563, 26170, 2493, 6804, 267, 1744, 756, 599, 4821, 4797, 547, 6560, 547, 3489, 1010, 15114, 267, 1256, 1310, 7674, 538, 519, 4108, 585, 513, 2197, 602, 1705, 711, 5431, 1864, 607, 835, 540, 922, 1378, 563, 18658, 779, 865, 544, 5417, 2287, 568, 602, 789, 4769, 1406, 1616, 547, 2097, 1934, 267, 519, 772, 2529, 269, 2229, 7142, 1864, 547, 2097, 1934, 269, 1358, 941, 18843, 539, 1934, 609, 1100, 2197, 2223, 645, 2131, 7288, 1744, 756, 599, 4821, 5143, 13235, 5240, 563, 2691, 646, 4547, 1010, 2013, 547, 519, 11776, 5604, 538, 9628, 789, 1767, 789, 1185, 2760, 2938, 513, 2013, 899, 1010, 543, 6038, 15695, 1864, 547, 4734, 519, 2197, 543, 556, 268, 10938, 16155, 538, 1931, 547, 1831, 513, 8628, 17055, 267, 1744, 756, 599, 4821, 27416, 538, 606, 2895, 1882, 5967, 609, 667, 839, 14833, 538, 476, 1220, 274, 563, 3891, 2663, 1336, 856, 1010, 1920, 779, 543, 2828, 685, 2665, 941, 782, 5701, 8335, 269, 1280, 1383, 267, 1079, 540, 1010, 2828, 945, 941, 4547, 519, 772, 2529, 269, 593, 519, 1482, 10935, 543, 31751, 883, 519, 8136, 4607, 741, 15114, 543, 32031, 538, 519, 1482, 1032, 1744, 756, 599, 4821, 779, 3498, 729, 17792, 269, 1656, 930, 2818, 540, 1010, 1920, 4769, 1406, 723, 547, 556, 268, 10938, 519, 2197, 899, 646, 1705, 563, 2467, 729, 1100, 22565, 610, 2601, 267, 543, 4986, 729, 2479, 6045, 267, 1744, 756, 599, 4821, 1767, 269, 1261, 4330, 621, 607, 606, 24081, 1890, 4611, 689, 513, 2229, 779, 3668, 540, 29059, 543, 5539, 563, 8072, 306, 15036, 1223, 4755, 1586, 20371, 10214, 1310, 1744, 756, 599, 4821, 6368, 2968, 513, 12504, 538, 476, 3192, 271, 267, 968, 515, 1869, 5433, 7925, 267, 513, 2631, 540, 22584, 602, 1945, 1223, 4755, 1586, 547, 1010, 1920, 1256, 1498, 789, 4076, 2944, 4986, 547, 15549, 621, 2223, 645, 2131, 7288, 1767, 563, 306, 3031, 599, 4821, 779, 1391, 585, 2699, 816, 689, 519, 772, 2529, 269, 2229, 3459, 1310, 646, 543, 1010, 1920, 941, 17792, 540, 519, 1065, 25730, 6035, 547, 2028, 539, 5545, 4892, 607, 851, 540, 519, 6406, 19115, 625, 2920, 540, 476, 2735, 279, 563, 763, 1065, 25730, 941, 1152, 14718, 547, 772, 2529, 269, 4961, 610, 7264, 693, 519, 942, 540, 2028, 618, 267, 543, 519, 1744, 756, 599, 4821, 1920, 729, 540, 1576, 9444, 563, 22081, 666, 594, 581, 10363, 950, 649, 4769, 1406, 1616, 547, 2097, 1934, 538, 519, 1101, 1747, 543, 519, 2229, 6770, 721, 1934, 267, 4229, 721, 547, 2097, 1934, 543, 3142, 721, 693, 7784, 4812, 9495, 3203, 1744, 756, 599, 4821, 1767, 538, 519, 667, 839, 14833, 5967, 563, 763, 772, 2529, 269, 2229, 5555, 6603, 513, 11175, 540, 1269, 276, 267, 1822, 585, 1142, 2028, 539, 5824, 5545, 1977, 267, 835, 21144, 628, 540, 519, 13180, 5545, 4892, 4607, 267, 609, 1100, 6101, 3284, 1108, 610, 6284, 563, 26589, 609, 1896, 824, 3885, 945, 5433, 519, 2709, 729, 16283, 267, 1744, 756, 599, 4821, 1904, 539, 856, 540, 519, 11175, 543, 8399, 539, 609, 1010, 1378, 27779, 269, 9453, 1967, 538, 519, 10470, 267, 789, 19429, 609, 519, 3955, 12677, 8189, 585, 5274, 7126, 630, 296, 3722, 16281, 264, 538, 476, 1220, 274, 269, 634, 1895, 4607 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 563, 268, 2560, 4517, 646, 1305, 1010, 1318, 3723, 593, 519, 4262, 267, 543, 1010, 2451, 3723, 593, 519, 2244, 2676, 268, 543, 1572, 856, 609, 513, 10978, 5639, 267, 899, 513, 17794, 887, 2130, 563, 268, 4208, 1705, 519, 21425, 2161, 968, 2414, 596, 568, 4535, 892, 888, 268, 1548, 1131, 789, 1174, 676, 968, 320, 14205, 21831, 945, 568, 2441, 519, 7083, 892, 888, 268, 1809, 1018, 1705, 789, 1294, 950, 789, 1336, 4906, 888, 268, 4208, 1705, 4906, 723, 547, 1831, 513, 812, 888, 268, 1215, 798, 649, 4431, 286, 0, 25219, 4106, 4115, 7869, 1700, 634, 3351, 23540, 3069, 1131, 2327, 602, 454, 1492, 6669, 568, 13950, 547, 1346, 693, 513, 2362, 4960, 540, 24931, 519, 2770, 563, 4913, 267, 15637, 949, 3111, 547, 2015, 1004, 609, 12363, 4576, 269, 31598, 267, 789, 1131, 581, 519, 2063, 1004, 547, 4309, 454, 4364, 1709, 269, 4595, 621, 568, 4105, 547, 2015, 519, 3152, 1434, 540, 519, 2486, 267, 1004, 454, 15367, 960, 2509, 2804, 2208, 1131, 581, 835, 540, 519, 10862, 2516, 563, 763, 2924, 2861, 3069, 1107, 634, 3069, 1131, 946, 519, 1101, 2097, 1101, 454, 338, 5703, 6240, 1282, 519, 7245, 540, 519, 6669, 269, 9282, 519, 1004, 454, 2041, 16442, 519, 20313, 616, 538, 513, 25680, 991, 585, 519, 6669, 267, 789, 1131, 711, 581, 454, 291, 14280, 2861, 7881, 1700, 634, 3069, 1131, 17538, 602, 1346, 945, 616, 454, 531, 2819, 2192, 1131, 581, 2808, 585, 2126, 607, 3379, 547, 519, 2635, 563, 9617, 823, 2861, 1700, 634, 3069, 1131, 9794, 2436, 621, 568, 454, 332, 528, 958, 1318, 547, 6375, 1125, 1004, 1996, 519, 2770, 269, 3487, 21871, 2676, 1492, 3069, 12116, 519, 1072, 6286, 540, 519, 1184, 269, 1280, 3236, 2676, 11794, 1004, 616, 2693, 547, 4579, 519, 1166, 826, 1282, 519, 31331, 454, 309, 7398, 826, 2861, 3069, 1700, 634, 17695, 626, 1131, 2303, 602, 519, 454, 8234, 3249, 575, 1392, 1058, 3343, 9844, 689, 519, 3077, 2551, 998, 513, 454, 628, 528, 965, 7778, 540, 519, 4644, 540, 519, 12674, 563, 8512, 273, 281, 20232, 8827, 454, 2041, 606, 4998, 3070, 547, 519, 1966, 267, 607, 621, 5849, 602, 519, 1416, 575, 1392, 4497, 454, 1492, 3077, 2551, 538, 519, 1184, 540, 31331, 269, 5637, 3461, 543, 2635, 454, 15161, 723, 519, 1318, 547, 9844, 543, 7778, 593, 519, 2601, 585, 12674, 563, 13051, 1030, 545, 775, 5932, 513, 4055, 585, 13618, 267, 1141, 519, 5461, 6105, 2097, 547, 454, 320, 8994, 1620, 540, 2152, 269, 901, 6240, 8992, 9716, 543, 14014, 454, 1492, 2146, 689, 1022, 2186, 540, 2800, 267, 607, 1072, 16984, 3313, 519, 454, 5814, 766, 540, 519, 12674, 547, 519, 5497, 2551, 563, 763, 1977, 7890, 454, 17882, 6818, 547, 1832, 4961, 2922, 267, 19439, 20737, 267, 543, 1683, 454, 516, 4725, 10949, 2533, 8164, 2556, 269, 3683, 519, 1296, 267, 519, 2229, 814, 454, 4310, 30813, 547, 4196, 811, 982, 1175, 519, 1657, 5018, 3252, 269, 634, 1297, 454, 1993, 4892, 945, 1439, 909, 538, 30813, 814, 2799, 538, 519, 2063, 2947, 5756, 269, 1452, 454, 577, 5190, 941, 538, 851, 1813, 547, 519, 5137, 540, 10728, 7803, 4031, 5293, 676, 454, 17812, 816, 269, 4653, 267, 1977, 30813, 616, 32036, 4765, 269, 1937, 572, 267, 621, 568, 519, 1004, 540, 454, 10233, 945, 1118, 909, 513, 1804, 6712, 540, 1977, 20903, 338, 269, 11569, 267, 1114, 2093, 454, 2958, 8973, 519, 4128, 585, 519, 32036, 3429, 540, 1977, 30813, 32736, 269, 31379, 454, 1993, 519, 7890, 1062, 723, 11855, 519, 8766, 2640, 540, 5329, 1762, 2367, 543, 454, 342, 1580, 538, 7890, 269, 1358, 723, 5018, 519, 3790, 547, 519, 27710, 9707, 267, 519, 1198, 540, 454, 329, 841, 2474, 593, 3075, 13982, 338, 267, 15508, 2192, 267, 543, 3885, 269, 2311, 519, 1482, 942, 2676, 516, 572, 2117, 1667, 723, 6069, 1585, 2409, 540, 7231, 609, 2527, 23948, 566, 538, 454, 1492, 2197, 269, 2368, 723, 6700, 513, 1689, 540, 7803, 4031, 267, 2474, 540, 5220, 2676, 3467, 7128, 593, 519, 10754, 267, 543, 2564, 948, 585, 3075, 13982, 338, 269, 6736, 519, 454, 18528, 5166, 7440, 4843, 676, 891, 3173, 267, 789, 25077, 602, 2527, 454, 4532, 22531, 566, 1281, 711, 2569, 2665, 540, 6760, 538, 519, 2197, 563, 529, 519, 27484, 9181, 539, 888, 13563, 30813, 814, 15427, 519, 7521, 936, 519, 7145, 540, 2527, 454, 4532, 22531, 566, 269, 769, 519, 2250, 267, 519, 772, 2529, 2229, 6069, 1279, 5220, 585, 454, 322, 3234, 10904, 609, 519, 2832, 540, 4227, 6760, 1651, 573, 1878, 538, 1977, 2950, 269, 2311, 454, 1492, 942, 267, 2043, 1510, 1164, 1153, 9733, 5557, 267, 22510, 6009, 267, 543, 1970, 4747, 454, 1263, 3042, 538, 6760, 547, 1683, 585, 2933, 543, 741, 3885, 269, 3509, 540, 873, 454, 2105, 909, 538, 7890, 585, 9513, 610, 1210, 10363, 5061, 269, 634, 2229, 12479, 454, 7474, 971, 513, 1847, 1131, 948, 873, 10994, 519, 3075, 1966, 538, 519, 2197, 269, 1717, 2676, 1492, 10654, 543, 26646, 540, 1762, 4892, 8329, 547, 606, 2333, 538, 454, 335, 20191, 538, 3109, 2950, 269, 634, 2367, 945, 941, 18486, 941, 519, 6852, 7426, 454, 1993, 741, 3885, 2495, 602, 891, 3885, 1185, 835, 2707, 540, 4747, 269, 1937, 572, 2676, 845, 518, 20903, 338, 798, 711, 1205, 7694, 3255, 3362, 1317, 540, 741, 454, 322, 17964, 2594, 269, 4475, 267, 930, 540, 873, 556, 3200, 547, 741, 2025, 6208, 540, 9513, 454, 323, 2607, 338, 547, 1832, 909, 609, 741, 13413, 563, 5976, 7351, 10819, 454, 4532, 22531, 566, 568, 513, 2259, 602, 15641, 525, 6710, 5786, 3646, 538, 519, 454, 12248, 787, 269, 3194, 9727, 602, 519, 1297, 540, 4892, 2713, 538, 6710, 454, 30524, 2887, 676, 936, 476, 736, 2600, 952, 519, 2229, 1223, 2569, 2527, 454, 4532, 22531, 566, 269, 12824, 723, 8810, 602, 476, 2568, 2600, 540, 5449, 31852, 2611, 454, 684, 655, 23903, 835, 1032, 1310, 741, 5305, 269, 1937, 572, 267, 1082, 1977, 4079, 723, 513, 454, 322, 17964, 2594, 602, 949, 1397, 909, 1282, 513, 4282, 2638, 269, 3194, 454, 12047, 2970, 919, 602, 1004, 1510, 513, 7803, 2594, 2744, 7694, 1256, 950, 454, 16269, 616, 711, 11727, 585, 519, 2990, 269, 3958, 267, 5329, 1004, 19526, 909, 454, 514, 795, 5661, 6971, 741, 10715, 15271, 267, 607, 1134, 607, 29076, 15271, 563, 32715, 619, 4043, 547, 3970, 519, 26038, 540, 5449, 31852, 269, 25841, 26038, 1459, 454, 325, 1956, 2042, 585, 519, 23948, 730, 2043, 2059, 609, 741, 3885, 563, 310, 16017, 267, 7674, 513, 21569, 2165, 6799, 4155, 4565, 4169, 585, 519, 4299, 2043, 454, 15290, 5275, 6666, 6351, 689, 519, 2229, 563, 763, 2238, 540, 519, 454, 3286, 823, 1062, 538, 519, 2197, 3790, 519, 27710, 9707, 936, 476, 18605, 5479, 12422, 269, 634, 454, 322, 739, 338, 540, 2527, 23948, 566, 8057, 676, 476, 6110, 2600, 936, 519, 2063, 476, 1789, 1296, 269, 10434, 454, 11529, 4892, 723, 547, 3565, 2509, 519, 5826, 540, 891, 30813, 269, 3509, 454, 5443, 543, 2021, 6108, 513, 1804, 851, 540, 741, 15296, 538, 30813, 269, 16270, 741, 454, 516, 3161, 267, 891, 2043, 723, 547, 4308, 609, 588, 25634, 1436, 267, 799, 6971, 454, 26132, 8458, 540, 11543, 7694, 269, 634, 2360, 540, 23948, 566, 540, 2367, 543, 454, 342, 1580, 2063, 513, 10715, 267, 2523, 585, 2043, 689, 1970, 4747, 2950, 269, 634, 454, 13062, 830, 5951, 540, 519, 476, 2735, 271, 779, 8329, 547, 519, 4367, 540, 5309, 1438, 3800, 454, 514, 519, 16324, 1062, 269, 570, 965, 6760, 4507, 538, 519, 476, 2735, 271, 779, 3366, 547, 513, 454, 4134, 2889, 15251, 622, 1764, 585, 1004, 689, 1970, 4747, 2950, 269, 22694, 2137, 540, 454, 10472, 5736, 5156, 538, 5309, 5109, 6760, 676, 2901, 1327, 6362, 873, 909, 538, 30813, 610, 454, 1584, 1154, 873, 998, 14317, 3292, 630, 6635, 7079, 2572, 1299, 1306, 615, 267, 476, 1960, 276, 1040, 634, 4250, 540, 6760, 543, 454, 684, 6135, 538, 519, 2197, 8329, 547, 519, 1646, 540, 519, 2527, 23948, 566, 454, 514, 519, 2197, 269, 1452, 3527, 1185, 2484, 8757, 2360, 593, 519, 1004, 4299, 563, 1103, 8364, 1356, 566, 2968, 519, 9949, 4259, 2864, 982, 519, 2063, 18992, 585, 519, 454, 9080, 2772, 1062, 693, 519, 942, 269, 634, 1847, 4299, 2043, 609, 1970, 4747, 543, 454, 29006, 1510, 1164, 1153, 9733, 5557, 563, 22709, 23948, 566, 568, 513, 454, 335, 15462, 602, 27938, 519, 9111, 538, 519, 1977, 2486, 269, 898, 568, 513, 1062, 454, 1993, 15494, 602, 11479, 6710, 267, 7292, 21440, 267, 543, 2804, 8635, 454, 600, 784, 519, 23948, 730, 543, 741, 3885, 269, 1977, 30813, 3180, 8938, 2947, 454, 704, 1417, 540, 519, 1158, 779, 14586, 269, 4107, 540, 891, 14586, 616, 3109, 2367, 945, 616, 454, 29323, 730, 689, 741, 3885, 585, 1082, 1296, 269, 4495, 19526, 538, 891, 15494, 531, 6703, 2676, 18872, 2367, 3112, 960, 543, 2087, 519, 2713, 2175, 540, 741, 3885, 269, 2368, 454, 1993, 873, 4734, 3297, 2021, 609, 811, 982, 835, 1126, 269, 1452, 2021, 723, 547, 960, 454, 14075, 3108, 547, 7118, 2614, 2724, 547, 2628, 10519, 267, 12375, 267, 543, 8597, 585, 824, 12014, 563, 2026, 513, 1267, 267, 6710, 3788, 513, 1966, 538, 1082, 3109, 3885, 538, 519, 2197, 563, 30356, 8635, 3587, 513, 4641, 950, 891, 3109, 3885, 3112, 14526, 454, 5976, 741, 3043, 13413, 563, 22117, 619, 666, 9004, 454, 21346, 23948, 566, 676, 12561, 1447, 5309, 1438, 3800, 585, 1970, 1377, 1055, 5151, 563, 763, 16324, 1062, 759, 2176, 547, 23948, 566, 607, 519, 1101, 7154, 540, 10751, 454, 1721, 782, 2010, 540, 1055, 5151, 269, 4107, 1533, 543, 5313, 14586, 616, 19526, 909, 585, 454, 12061, 8686, 2723, 550, 10963, 269, 1280, 3236, 267, 1082, 21569, 29982, 6108, 942, 538, 7890, 1247, 454, 16269, 24098, 741, 2366, 9760, 269, 11524, 1439, 909, 538, 7890, 585, 3423, 908, 741, 454, 1718, 1431, 540, 741, 1612, 1961, 610, 2625, 566, 269, 3683, 476, 272, 269, 278, 2929, 1004, 6108, 741, 454, 331, 1161, 538, 7890, 1510, 513, 1857, 3106, 24117, 269, 11569, 267, 10751, 540, 6760, 454, 529, 14063, 952, 519, 2229, 568, 10994, 1514, 6760, 538, 1977, 2950, 563, 4913, 267, 519, 4049, 10751, 602, 20737, 4309, 568, 711, 11562, 5896, 563, 12867, 723, 3177, 15792, 2963, 6029, 602, 891, 3800, 540, 31925, 454, 322, 3234, 10904, 616, 7199, 543, 11991, 269, 5502, 267, 789, 4363, 4244, 454, 13905, 602, 2569, 973, 573, 13659, 563, 763, 2229, 1058, 454, 4219, 7803, 4031, 609, 519, 2832, 540, 9427, 7890, 607, 519, 1152, 1505, 540, 454, 322, 8091, 532, 1875, 8686, 2723, 550, 25476, 269, 2368, 540, 519, 1034, 3617, 19439, 906, 585, 454, 869, 1377, 10963, 1331, 2146, 3028, 267, 2625, 566, 267, 5907, 5464, 2676, 663, 14317, 269, 634, 15494, 531, 6703, 1058, 4019, 891, 3800, 547, 454, 323, 2607, 1644, 10963, 538, 519, 2197, 269, 898, 568, 711, 3608, 585, 519, 16324, 1062, 454, 1729, 6494, 3075, 25476, 547, 7890, 585, 1082, 1296, 269, 634, 1292, 1966, 538, 971, 2665, 454, 529, 519, 8244, 540, 5061, 538, 519, 3109, 2950, 2495, 602, 789, 786, 454, 11666, 826, 609, 519, 2259, 540, 9513, 5061, 2899, 5950, 269, 4014, 519, 1184, 454, 1993, 4657, 7803, 4031, 949, 1491, 1296, 267, 621, 568, 519, 1152, 1576, 540, 2962, 602, 454, 15884, 2569, 519, 1297, 540, 6107, 27830, 2476, 538, 1977, 30813, 563, 611, 1288, 543, 2790, 1072, 2042, 2154, 2564, 2126, 543, 711, 942, 538, 454, 1440, 2581, 269, 21009, 540, 519, 1004, 945, 1439, 538, 1977, 30813, 7985, 689, 2790, 454, 8234, 2152, 610, 3075, 8213, 269, 769, 1249, 267, 1977, 2281, 3180, 811, 15508, 2192, 454, 15161, 982, 5238, 585, 519, 15508, 13934, 269, 2398, 11143, 798, 711, 948, 971, 454, 15161, 7753, 741, 2042, 3079, 267, 23948, 566, 7707, 839, 741, 2783, 563, 21675, 786, 2327, 602, 1004, 609, 2790, 1072, 2042, 610, 3075, 8213, 454, 13069, 727, 3730, 2818, 540, 2486, 269, 1358, 666, 9156, 267, 4019, 585, 7694, 3255, 2676, 663, 948, 741, 3885, 1141, 2009, 269, 2311, 519, 1482, 942, 267, 891, 2043, 454, 7528, 790, 3586, 8343, 676, 2625, 566, 10492, 547, 2327, 602, 789, 9156, 454, 2685, 269, 769, 930, 2665, 267, 789, 1500, 991, 547, 6108, 930, 942, 538, 7890, 4470, 593, 454, 1492, 2470, 540, 519, 6760, 602, 789 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1287, 979, 1472, 519, 1362, 7713, 547, 519, 1053, 945, 1810, 1405, 1205, 621, 2437, 3081, 16019, 269, 834, 763, 1966, 568, 602, 952, 596, 2811, 835, 540, 1346, 3214, 945, 3085, 1405, 1205, 621, 267, 596, 2811, 7996, 585, 519, 4116, 547, 2097, 1472, 267, 543, 596, 3247, 9878, 3007, 4799, 24336, 1053, 616, 849, 6026, 547, 1174, 4514, 3347, 538, 519, 1570, 789, 2811, 4974, 269, 13298, 982, 3274, 17656, 1053, 593, 8691, 7515, 267, 16019, 3081, 267, 513, 4116, 1522, 2307, 2034, 17603, 519, 2626, 547, 476, 15886, 1535, 476, 276, 563, 21893, 1223, 1491, 513, 1279, 942, 585, 606, 1977, 2875, 547, 4137, 856, 2437, 16019, 3081, 269, 834, 3719, 538, 3624, 789, 723, 1044, 6026, 547, 9062, 2947, 676, 835, 8536, 543, 10208, 2947, 269, 1977, 3214, 616, 5143, 547, 2259, 1945, 936, 543, 936, 2394, 621, 29826, 538, 267, 855, 1018, 789, 616, 8026, 568, 865, 2241, 789, 1810, 1405, 2731, 1174, 621, 610, 917, 1018, 519, 3270, 616, 4799, 3528, 693, 2547, 835, 2268, 267, 29258, 781, 1935, 568, 2324, 269, 769, 476, 1001, 271, 267, 519, 8303, 2861, 25944, 585, 9483, 3213, 268, 7774, 543, 4886, 630, 302, 25929, 264, 5950, 2164, 540, 606, 4879, 13950, 547, 476, 1428, 4458, 29419, 538, 476, 4792, 2477, 269, 29258, 1053, 1655, 539, 741, 9905, 1472, 519, 1158, 538, 2257, 267, 2542, 267, 543, 2979, 269, 630, 8253, 782, 29258, 1453, 4324, 689, 519, 2749, 781, 24974, 1153, 1062, 269, 29258, 1281, 711, 16153, 519, 5318, 5354, 540, 476, 6110, 267, 1822, 1453, 540, 27540, 11832, 3885, 883, 2749, 3506, 269, 1358, 7390, 513, 2539, 512, 1512, 540, 1863, 1857, 3506, 267, 1141, 519, 2298, 540, 6044, 568, 17071, 8094, 13981, 834, 21413, 3955, 12401, 4840, 1103, 29258, 13460, 267, 519, 4116, 3652, 269, 6788, 616, 1500, 2312, 267, 543, 1053, 616, 6026, 547, 4835, 1125, 267, 2864, 982, 4161, 267, 4116, 5528, 563, 2690, 7855, 538, 2757, 3506, 267, 713, 2497, 786, 1745, 5432, 269, 634, 14181, 12064, 1153, 6138, 2914, 603, 922, 8561, 593, 1582, 1673, 3925, 543, 5539, 2914, 650, 1745, 1454, 1447, 865, 269, 4841, 1374, 741, 1378, 2069, 269, 1358, 949, 960, 4805, 693, 513, 4305, 610, 609, 1866, 267, 543, 1247, 789, 666, 2307, 606, 2937, 585, 948, 267, 1100, 11295, 3450, 3217, 1747, 563, 306, 644, 12064, 3506, 949, 3280, 899, 834, 12584, 1041, 532, 257, 547, 1082, 4079, 267, 945, 1522, 5855, 602, 1053, 1131, 1439, 909, 8384, 7641, 610, 4730, 3381, 3756, 782, 1554, 269, 1452, 4145, 616, 7938, 1551, 5896, 267, 2161, 14181, 12064, 5234, 619, 543, 3214, 7567, 269, 6936, 267, 930, 14181, 12064, 1053, 1451, 547, 1224, 676, 4730, 1257, 2861, 3381, 3756, 269, 11524, 6108, 782, 1554, 1603, 610, 4730, 14912, 610, 1818, 909, 741, 1378, 3756, 269, 21894, 519, 2534, 267, 1453, 1847, 693, 741, 1378, 10605, 269, 1703, 568, 1100, 6437, 543, 972, 616, 1100, 10526, 269, 630, 11764, 1067, 24824, 1281, 2709, 16516, 5049, 267, 23243, 621, 689, 519, 14181, 12064, 2203, 8094, 257, 2252, 649, 1589, 827, 938, 2729, 267, 1034, 540, 1018, 649, 1205, 856, 540, 1272, 267, 649, 1451, 593, 938, 1378, 2437, 3081, 12253, 5682, 6199, 267, 835, 540, 14181, 12064, 9503, 3427, 781, 27428, 269, 834, 2171, 3605, 2081, 547, 1265, 856, 1018, 649, 991, 547, 917, 267, 2864, 982, 9361, 538, 4395, 540, 2576, 945, 781, 10213, 721, 4799, 306, 644, 12064, 3506, 616, 4357, 630, 14654, 819, 30845, 264, 543, 3398, 1053, 689, 9251, 909, 547, 2085, 476, 866, 269, 2755, 972, 5749, 1405, 6101, 5049, 267, 9344, 267, 610, 6780, 267, 972, 616, 7899, 540, 3652, 269, 26467, 1881, 538, 513, 834, 18721, 1433, 2437, 519, 3652, 723, 547, 798, 609, 875, 1004, 1521, 835, 1776, 543, 519, 1153, 267, 711, 1018, 789, 1451, 610, 875, 789, 1451, 621, 563, 2026, 693, 14400, 24824, 267, 14181, 12064, 3506, 1827, 2933, 607, 1463, 1629, 31097, 269, 3962, 2875, 543, 5234, 4759, 814, 835, 8917, 693, 2834, 1153, 11401, 267, 1141, 782, 6927, 1644, 547, 519, 4881, 540, 519, 1153, 616, 17411, 267, 1519, 6578, 267, 17849, 540, 5234, 267, 543, 3731, 4328, 519, 1876, 1433, 269, 1290, 680, 11989, 827, 13817, 2265, 616, 4862, 676, 519, 7225, 2772, 7027, 267, 799, 5161, 540, 1053, 543, 835, 5234, 4759, 267, 782, 5697, 693, 4351, 563, 4263, 13068, 1613, 14181, 12064, 3427, 538, 21388, 267, 7147, 267, 519, 3652, 2154, 267, 585, 1383, 267, 602, 1053, 5957, 513, 2879, 1872, 569, 11369, 1194, 24743, 1247, 14964, 513, 8868, 539, 6174, 269, 1358, 10238, 527, 782, 3029, 540, 6057, 267, 1519, 3441, 547, 1153, 3959, 267, 543, 1469, 519, 5773, 540, 1153, 11401, 563, 257, 305, 2737, 3335, 1020, 689, 1483, 8996, 3871, 1141, 2152, 540, 20849, 2924, 723, 818, 17470, 602, 2154, 513, 1007, 4341, 547, 1533, 519, 1699, 1153, 3609, 2437, 3081, 13068, 1613, 5234, 4759, 8751, 645, 2129, 2006, 269, 834, 6635, 4226, 9009, 610, 11991, 9993, 540, 5191, 5749, 1405, 1360, 2442, 538, 519, 1153, 5870, 4799, 763, 7225, 2772, 7027, 568, 519, 2295, 540, 519, 1153, 269, 20821, 902, 666, 979, 593, 585, 3108, 267, 609, 22168, 1572, 543, 2250, 1055, 5151, 5941, 269, 12983, 540, 14619, 543, 5126, 4309, 2407, 18064, 3130, 269, 769, 519, 1439, 267, 1053, 1336, 16944, 4309, 513, 4845, 269, 589, 2875, 9901, 609, 14578, 6028, 513, 3190, 538, 519, 10051, 1522, 581, 17049, 689, 519, 10051, 585, 513, 1297, 540, 2395, 269, 589, 1126, 945, 8255, 998, 606, 1858, 1141, 4881, 568, 711, 4847, 630, 2421, 519, 2875, 22190, 28508, 3652, 264, 1522, 581, 1500, 547, 4196, 607, 606, 593, 2275, 25283, 3106, 6895, 563, 10454, 1053, 609, 3007, 17211, 2152, 1522, 1439, 909, 609, 513, 2603, 540, 2665, 538, 4395, 540, 519, 7225, 2772, 7027, 2437, 3081, 30647, 25366, 700, 6759, 19649, 540, 519, 4144, 32631, 9503, 3427, 269, 834, 2005, 781, 711, 606, 2937, 530, 698, 3101, 513, 9416, 538, 4395, 540, 741, 8188, 267, 621, 781, 519, 2146, 6031, 267, 2048, 2252, 596, 1616, 547, 581, 609, 721, 267, 713, 568, 1018, 596, 723, 547, 798, 9538, 4840, 2005, 781, 711, 782, 827, 1184, 269, 4595, 972, 616, 1100, 6101, 3610, 267, 972, 616, 1100, 1543, 4559, 269, 2290, 14181, 12064, 9503, 3427, 10927, 6170, 606, 3003, 1153, 1032, 3257, 4986, 855, 4730, 513, 2582, 2780, 3014, 563, 19285, 1705, 723, 513, 7168, 2673, 10275, 27848, 1895, 540, 2828, 2437, 3081, 519, 5449, 2875, 267, 834, 13051, 1701, 834, 2171, 6594, 1346, 3381, 3756, 899, 606, 30168, 1131, 1353, 519, 6006, 2344, 4799, 13051, 6170, 519, 1985, 1032, 4730, 13176, 269, 19331, 731, 519, 1439, 540, 1010, 3791, 1032, 267, 646, 7691, 646, 729, 5461, 538, 23798, 269, 1261, 6170, 1010, 8772, 1032, 2324, 513, 2407, 6066, 2816, 543, 8600, 547, 4019, 547, 513, 6280, 563, 2005, 3085, 1405, 2141, 960, 856, 865, 1134, 269, 2368, 1453, 834, 16344, 614, 2933, 856, 257, 1310, 1079, 610, 1614, 1296, 267, 3081, 700, 6759, 19649, 269, 589, 1126, 949, 1616, 513, 3677, 1514, 5858, 630, 13312, 32631, 9503, 3427, 814, 476, 3607, 1053, 713, 1032, 1247, 13068, 1613, 14181, 12064, 814, 1152, 8370, 264, 610, 789, 1522, 1616, 811, 2497, 563, 306, 15471, 693, 14181, 12064, 568, 6027, 676, 875, 1134, 1053, 5965, 2933, 585, 2022, 3766, 571, 706, 566, 1272, 269, 634, 1152, 2838, 2854, 7084, 568, 513, 3803, 1957, 538, 799, 519, 2875, 11828, 875, 646, 610, 1352, 568, 9280, 585, 519, 3544, 1158, 269, 634, 2875, 6799, 519, 1957, 1354, 519, 3003, 1153, 2146, 2676, 10175, 3237, 267, 799, 16018, 593, 2436, 547, 9886, 519, 2875, 513, 26885, 563, 257, 10743, 1934, 616, 811, 1582, 18101, 1211, 267, 15962, 267, 543, 1514, 1004, 2437, 3081, 700, 6759, 19649, 269, 834, 4415, 1346, 1983, 538, 707, 17927, 596, 666, 9585, 4376, 596, 1616, 4799, 8266, 2287, 547, 519, 4132, 454, 4002, 519, 3872, 8552, 267, 3204, 326, 1470, 2506, 23158, 781, 1935, 8813, 12341, 1063, 1346, 540, 29258, 543, 519, 14181, 12064, 3506, 269, 715, 3139, 585, 519, 2749, 538, 7187, 7977, 1141, 621, 729, 2919, 538, 519, 21987, 540, 2622, 2782, 4083, 267, 519, 2295, 540, 519, 3204, 326, 1470, 1935, 7125, 2390, 3237, 267, 3610, 267, 543, 1453, 547, 960, 1927, 269, 5753, 267, 2687, 547, 519, 1062, 267, 1590, 723, 930, 1852, 936, 741, 1565, 269, 15380, 267, 538, 519, 2038, 2395, 540, 513, 1153, 1032, 267, 3610, 13793, 1394, 543, 7747, 741, 1053, 563, 257, 8266, 2287, 568, 1031, 513, 1390, 4308, 538, 3204, 326, 1470, 3506, 2437, 3081, 700, 7578, 717, 663, 7236, 267, 519, 561, 807, 2581, 585, 519, 3345, 1977, 3204, 326, 1470, 2506, 23158, 19137, 269, 834, 3528, 11287, 543, 6947, 547, 1453, 781, 2093, 267, 3610, 4020, 519, 6437, 4799, 288, 1895, 540, 9251, 21943, 1453, 538, 513, 3204, 326, 1470, 1153, 267, 585, 1383, 267, 729, 5461, 538, 4974, 6482, 269, 1703, 729, 267, 717, 663, 7236, 31061, 267, 513, 1507, 3349, 602, 782, 519, 1453, 1031, 543, 6068, 269, 1358, 4941, 547, 1628, 513, 18187, 320, 563, 10454, 4116, 2219, 267, 2048, 1607, 568, 513, 1434, 8317, 585, 519, 1453, 547, 2268, 10086, 257, 717, 663, 7236, 3081, 269, 834, 9515, 4547, 538, 519, 15790, 10938, 855, 5143, 1864, 711, 547, 1491, 856, 1010, 7893, 11746, 1701, 5502, 267, 789, 4280, 519, 1453, 547, 798, 519, 7893, 543, 1175, 14478, 563, 2304, 6905, 1788, 2919, 269, 5753, 1031, 1585, 1919, 547, 2268, 519, 3349, 267, 1519, 835, 1126, 781, 21489, 269, 1358, 2813, 741, 1378, 11746, 3800, 267, 1152, 547, 8275, 789, 14201, 1405, 519, 1482, 7306, 269, 1358, 4682, 1394, 547, 1210, 519, 21489, 269, 634, 3349, 267, 621, 5828, 856, 267, 6027, 3670, 10887, 676, 1614, 7146, 8584, 28451, 10887, 563, 257, 5278, 1004, 1522, 2161, 267, 2048, 3719, 1018, 513, 3653, 540, 942, 256, 262, 257, 717, 663, 7236, 3081, 269, 834, 3719, 519, 1453, 3357, 547, 1174, 519, 7271, 540, 2268, 543, 922, 1599, 4799, 1103, 519, 29109, 540, 3204, 326, 1470, 2506, 23158, 267, 519, 1935, 568, 1031, 538, 10867, 543, 9251, 3292, 269, 769, 519, 2136, 2276, 267, 513, 1507, 1297, 540, 10026, 3506, 723, 7471, 519, 1935, 267, 11836, 513, 1804, 1297, 540, 1977, 9251, 338, 563, 302, 25659, 3427, 538, 24144, 267, 14822, 267, 16621, 3204, 326, 1470, 693, 1312, 2157, 269, 25595, 6840, 7390, 519, 4357, 14956, 531, 7467, 3427, 269, 769, 519, 1482, 1950, 540, 5656, 267, 11105, 547, 513, 23291, 543, 1896, 11614, 267, 568, 519, 1857, 14956, 531, 25943, 3427, 267, 585, 9344, 918, 268, 276, 563, 3086, 538, 922, 1605, 22770, 1032, 267, 14956, 531, 3427, 5713, 476, 6434, 1453, 269, 3962, 540, 519, 2185, 13460, 814, 513, 2407, 6066, 4116, 269, 589, 21927, 4116, 267, 811, 4810, 609, 519, 3204, 326, 1470, 2506, 23158, 1935, 267, 10943, 1080, 1200, 942, 1063, 519, 5049, 563, 2026, 513, 1857, 1153, 267, 14956, 531, 568, 1531, 1245, 523, 547, 1533, 4441, 269, 769, 8772, 3446, 267, 1453, 2066, 14822, 1353, 519, 1686, 540, 741, 1533, 269, 27603, 267, 602, 3322, 11362, 538, 547, 519, 5432, 1650, 540, 519, 23806, 262, 3460, 593, 519, 14822, 20417, 269, 5502, 267, 14956, 531, 3610, 3576, 741, 1053, 547, 513, 1404, 602, 8268, 513, 1114, 2680, 689, 519, 1533, 781, 2250, 281, 519, 4655, 1266, 25311, 676, 519, 3375, 547, 2481, 519, 12052, 5211, 693, 22966, 559, 334, 22484, 267, 799, 1185, 1044, 513, 1883, 5065, 10068, 1858, 585, 476, 1428, 267, 1822, 1296, 563, 10454, 3610, 941, 8049, 827, 875, 519, 1453, 1131, 2746, 269, 1358, 28520, 621, 856, 607, 513, 1008, 6327, 2437, 3081, 19626, 5839, 298, 599, 267, 8689, 540, 2069, 693, 14956, 531, 563, 24679, 781, 606, 1271, 14822, 1650, 2437, 3081, 5839, 298, 599, 269, 834, 763, 3214, 6068, 519, 1404, 543, 941, 13730, 827, 519, 4655, 4799, 2690, 519, 13557, 540, 519, 1153, 1032, 267, 519, 1453, 3357, 909, 609, 3785, 1644, 547, 519, 1404, 269, 1358, 2813, 513, 10036, 2203, 540, 519, 8813, 267, 6594, 32394, 1379, 267, 543, 3576, 513, 2361, 7552, 547, 519, 2481, 269, 1358, 6594, 519, 4279, 12870, 607, 513, 1259, 547, 1174, 519, 2796, 540, 519, 2680, 543, 2813, 741, 1378, 4528, 540, 519, 1404, 563, 10454, 3069, 568, 602, 519, 4514, 3214, 979, 883, 513, 1641, 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 ]
[ 540, 513, 645, 297, 307, 24923, 568, 1360, 6094, 543, 568, 21066, 17585, 539, 609, 1699, 19057, 269, 9603, 547, 799, 21921, 1588, 538, 519, 3490, 3148, 568, 5934, 563, 7617, 3148, 568, 1360, 6094, 543, 21066, 17585, 539, 888, 263, 273, 264, 634, 3490, 3148, 1590, 581, 1360, 6094, 543, 21066, 17585, 539, 269, 634, 3490, 3148, 568, 519, 555, 4883, 652, 3148, 540, 519, 24923, 543, 519, 6475, 5834, 540, 713, 3148, 267, 607, 513, 1267, 267, 568, 519, 9803, 1851, 519, 1614, 4525, 563, 3963, 3490, 1699, 568, 21260, 982, 21689, 1699, 888, 15008, 281, 12476, 568, 1454, 7522, 518, 543, 25182, 982, 19216, 267, 1156, 576, 519, 5354, 540, 5279, 19057, 616, 4607, 676, 21689, 269, 9747, 267, 3712, 937, 528, 1699, 568, 3152, 982, 3490, 1699, 10756, 1432, 568, 1699, 2744, 4542, 888, 14483, 2744, 568, 519, 5223, 540, 519, 1689, 538, 519, 21689, 1699, 547, 519, 1689, 538, 519, 900, 7867, 1699, 538, 513, 24923, 269, 3267, 3767, 267, 12990, 519, 1871, 540, 519, 1689, 538, 519, 900, 7867, 1699, 607, 476, 276, 544, 288, 543, 476, 271, 269, 4200, 607, 519, 1699, 2744, 538, 519, 4542, 14668, 284, 16123, 367, 296, 322, 16123, 367, 296, 324, 547, 3313, 519, 1689, 538, 519, 21689, 1699, 538, 519, 24923, 563, 1432, 568, 3490, 9186, 888, 763, 14724, 1979, 2084, 10039, 513, 3490, 1532, 5362, 19919, 1063, 519, 3490, 543, 513, 3490, 6007, 966, 17668, 269, 898, 568, 10375, 547, 946, 519, 4540, 966, 6717, 3761, 3079, 540, 513, 1007, 9186, 3761, 269, 1323, 1383, 540, 606, 8301, 24582, 3942, 1210, 3490, 1532, 328, 2084, 568, 968, 290, 15009, 531, 5925, 609, 835, 24923, 1547, 1547, 1547, 9232, 12627, 5925, 267, 932, 476, 280, 4586, 1432, 568, 844, 625, 1417, 1448, 610, 1627, 1448, 888, 763, 5665, 1448, 540, 513, 3926, 267, 849, 1634, 607, 513, 9186, 1448, 267, 844, 625, 1417, 1448, 610, 1627, 15304, 267, 568, 519, 11931, 15581, 9823, 6453, 610, 1699, 693, 513, 9138, 12363, 540, 606, 3742, 3926, 971, 607, 513, 24923, 609, 1100, 3403, 5365, 4294, 269, 3267, 1403, 513, 24923, 781, 22882, 2837, 568, 4847, 547, 2333, 267, 8143, 2196, 12537, 949, 2049, 563, 1432, 568, 3490, 538, 513, 24923, 888, 26015, 1107, 634, 1647, 3296, 540, 519, 24923, 568, 1634, 607, 519, 3490, 269, 634, 3490, 3029, 1079, 11387, 267, 519, 3403, 5547, 609, 519, 900, 7867, 543, 519, 3977, 5547, 609, 519, 21689, 269, 3267, 634, 3490, 540, 519, 24923, 568, 21066, 17585, 539, 543, 1360, 6094, 1813, 547, 799, 621, 3091, 519, 5354, 5279, 15298, 547, 519, 3490, 563, 1432, 568, 519, 3490, 1699, 538, 645, 297, 307, 888, 26015, 1699, 568, 3335, 476, 272, 260, 540, 900, 7867, 610, 21689, 1699, 585, 1507, 5365, 27820, 269, 4107, 540, 519, 900, 7867, 9211, 27556, 1318, 998, 519, 6094, 3490, 630, 322, 264, 883, 519, 3490, 12258, 937, 528, 22930, 3148, 563, 1432, 568, 946, 540, 3490, 538, 24923, 888, 763, 3490, 568, 519, 10766, 17120, 3926, 585, 519, 3677, 5122, 3761, 269, 634, 21689, 568, 519, 3677, 5122, 3761, 267, 543, 519, 900, 7867, 568, 519, 17752, 585, 602, 3761, 269, 1635, 11488, 8795, 2157, 540, 1699, 689, 519, 3490, 267, 519, 2179, 540, 1699, 13576, 998, 519, 10766, 689, 519, 21689, 949, 581, 14931, 563, 7617, 568, 1732, 30312, 6630, 610, 17018, 325, 564, 888, 2691, 3379, 547, 519, 30312, 6630, 267, 513, 1379, 631, 5308, 293, 4953, 814, 519, 5383, 540, 2362, 862, 16615, 3432, 543, 3152, 4398, 1282, 5106, 693, 1970, 28696, 269, 1548, 781, 811, 267, 621, 666, 2844, 513, 1164, 17527, 6453, 543, 2226, 513, 1164, 1699, 563, 3963, 10766, 1699, 568, 4642, 538, 674, 4953, 888, 2171, 782, 616, 3222, 602, 519, 10766, 1699, 538, 519, 594, 24427, 4953, 263, 1231, 4327, 10766, 2361, 1198, 24923, 264, 568, 2141, 4642, 19962, 547, 519, 12547, 15098, 1459, 1063, 519, 10766, 543, 519, 14041, 3148, 269, 0, 2171, 723, 1044, 1210, 3223, 1188, 8955, 3391, 5182, 13261, 25852, 547, 6895, 519, 25057, 540, 3706, 2350, 944, 10822, 2456, 267, 3246, 3846, 673, 13999, 693, 2539, 24788, 657, 885, 543, 5210, 982, 5892, 2139, 543, 7175, 2178, 4255, 540, 7811, 3631, 269, 1284, 723, 4857, 1614, 1808, 2042, 609, 3069, 281, 630, 272, 264, 1284, 1265, 602, 2203, 2681, 2173, 1725, 3363, 12222, 3112, 581, 28761, 1031, 547, 18505, 13999, 607, 789, 798, 711, 8308, 16196, 519, 4778, 540, 3706, 2350, 944, 546, 8705, 12028, 540, 1634, 2527, 269, 630, 273, 264, 13229, 5210, 18505, 1042, 689, 12105, 2203, 2234, 4512, 616, 3335, 22522, 609, 5210, 6508, 689, 17501, 11626, 3631, 547, 4767, 26034, 676, 476, 1911, 268, 4968, 298, 269, 630, 274, 264, 1280, 519, 1152, 1634, 6292, 540, 2361, 6960, 546, 8705, 12028, 609, 513, 5730, 2527, 630, 274, 8472, 543, 2085, 8990, 630, 19749, 486, 1839, 15992, 519, 6027, 24788, 657, 885, 616, 3980, 376, 273, 268, 274, 9943, 2362, 982, 10567, 676, 2203, 9023, 3928, 630, 328, 4318, 1421, 13999, 18505, 1042, 689, 700, 2513, 543, 2085, 616, 476, 736, 268, 1789, 260, 3677, 982, 6027, 1040, 1677, 1118, 3356, 538, 1620, 519, 4767, 27753, 267, 811, 2527, 7403, 17364, 513, 2647, 2039, 540, 24788, 13920, 267, 2837, 267, 543, 2085, 616, 2877, 267, 2059, 609, 811, 4977, 2085, 1999, 5209, 630, 324, 3052, 1421, 3842, 14531, 846, 1143, 1108, 264, 585, 3119, 6801, 609, 6960, 21221, 9352, 15274, 269, 4746, 267, 17251, 9804, 543, 18342, 21655, 616, 2877, 547, 2268, 16864, 22930, 543, 547, 21656, 519, 4694, 12742, 540, 9352, 3334, 538, 1931, 547, 1732, 2708, 2203, 19518, 269, 0, 10673, 1406, 3653, 942, 5192, 513, 20240, 4274, 547, 948, 596, 609, 4828, 454, 29973, 569, 267, 519, 595, 2130, 6240, 540, 14639, 23846, 568, 20218, 538, 4287, 540, 1480, 2257, 543, 6212, 593, 519, 19493, 2460, 540, 12391, 3157, 267, 20825, 543, 2833, 269, 898, 849, 16135, 593, 513, 1770, 776, 5133, 543, 25872, 609, 2694, 971, 607, 606, 1367, 609, 922, 2146, 269, 634, 12391, 1523, 5088, 806, 835, 21758, 267, 10952, 543, 4612, 894, 607, 5265, 607, 6662, 15041, 2869, 673, 6268, 543, 26779, 513, 7274, 540, 26381, 1670, 4485, 602, 2564, 543, 12170, 855, 693, 519, 1482, 942, 568, 1930, 547, 824, 18817, 540, 16565, 1271, 9623, 563, 263, 310, 20490, 267, 476, 2735, 279, 267, 476, 1960, 280, 1916, 4002, 519, 7811, 5943, 267, 519, 12391, 3069, 540, 476, 3192, 280, 729, 8547, 593, 519, 4557, 1286, 894, 2188, 563, 4322, 616, 5097, 513, 5250, 540, 513, 5274, 2065, 268, 5306, 745, 2065, 1062, 540, 2418, 543, 14713, 540, 8417, 547, 835, 779, 1582, 543, 547, 1866, 269, 898, 814, 14074, 585, 513, 11215, 267, 7863, 267, 543, 5924, 30997, 2790, 267, 2168, 267, 6848, 267, 543, 5289, 4259, 269, 14936, 519, 2596, 4295, 568, 16135, 593, 1142, 12391, 6138, 543, 2257, 630, 310, 20490, 267, 476, 1960, 280, 1916, 5278, 7840, 593, 2189, 1286, 894, 2188, 883, 3621, 1286, 26320, 3157, 18220, 519, 5250, 540, 1480, 2065, 268, 5306, 745, 2065, 1871, 1062, 3587, 2259, 540, 15962, 29292, 1145, 267, 2382, 20746, 540, 5132, 3620, 2100, 7140, 883, 6461, 1227, 1699, 563, 290, 738, 10474, 540, 8417, 1063, 519, 2950, 3587, 2469, 2250, 24178, 1582, 267, 4886, 540, 513, 1480, 12391, 2078, 7140, 883, 4543, 2389, 6412, 532, 606, 8076, 12391, 2078, 267, 543, 8871, 10056, 543, 10343, 540, 519, 4082, 540, 16268, 543, 8801, 4606, 7140, 883, 1373, 11215, 540, 519, 4082, 540, 2318, 543, 8801, 4664, 630, 310, 20490, 267, 476, 1220, 277, 1916, 23192, 267, 23846, 779, 3069, 2847, 9407, 1472, 1614, 2101, 2609, 267, 12077, 519, 1286, 894, 3334, 267, 519, 1098, 26051, 12391, 2078, 267, 543, 519, 12391, 4090, 269, 2701, 7150, 4557, 1286, 894, 2188, 602, 6039, 607, 4388, 585, 519, 8808, 1246, 543, 21246, 958, 10704, 593, 519, 3652, 540, 12391, 563, 763, 1098, 26051, 12391, 2078, 6257, 875, 519, 12016, 4422, 2250, 606, 6662, 6268, 267, 27109, 9270, 4724, 519, 1268, 779, 16148, 543, 4514, 602, 1797, 11341, 547, 741, 1378, 1134, 1373, 1416, 1533, 540, 12602, 267, 6466, 519, 12391, 4090, 568, 3989, 607, 519, 4090, 630, 325, 5914, 1448, 538, 2230, 543, 942, 264, 950, 519, 12016, 543, 1776, 1268, 2097, 1927, 538, 971, 513, 1797, 602, 606, 2680, 585, 1480, 12391, 568, 2813, 630, 290, 4673, 267, 476, 1220, 274, 1916, 1103, 713, 2796, 267, 519, 476, 275, 1271, 2035, 540, 8808, 1107, 1880, 1268, 267, 1604, 267, 1134, 1373, 267, 543, 8808, 1107, 616, 7854, 539, 1369, 519, 3069, 269, 9861, 11455, 538, 2470, 267, 519, 2856, 6799, 922, 5943, 607, 513, 30798, 540, 782, 891, 2035, 267, 1298, 1359, 593, 519, 1880, 1268, 563, 310, 20490, 14621, 606, 1367, 607, 606, 1367, 609, 10058, 7907, 543, 2189, 6499, 269, 634, 1367, 568, 17019, 607, 513, 1373, 5827, 540, 6340, 609, 1776, 2250, 15629, 5872, 269, 634, 1367, 568, 2808, 607, 3003, 543, 2347, 267, 7488, 540, 4576, 540, 4576, 630, 310, 20490, 267, 476, 1220, 277, 1916, 763, 10450, 568, 2219, 547, 581, 513, 9354, 1858, 267, 519, 1747, 519, 1268, 779, 9637, 543, 9637, 666, 4228, 543, 3895, 2247, 321, 617, 903, 2869, 527, 627, 565, 8864, 543, 7067, 630, 310, 20490, 267, 476, 1960, 280, 1040, 769, 5271, 19935, 267, 519, 1533, 540, 513, 3461, 779, 1604, 666, 3310, 606, 1367, 779, 1533, 540, 1134, 1373, 269, 634, 2168, 4259, 666, 723, 606, 1198, 593, 875, 519, 1880, 1268, 666, 1921, 543, 2291, 538, 519, 5289, 4259, 2813, 676, 1098, 26051, 12391, 3347, 267, 543, 1223, 723, 606, 1198, 593, 519, 7145, 540, 519, 2257, 540, 12391, 563, 10890, 568, 1634, 607, 519, 9322, 543, 10103, 1369, 519, 4555, 267, 26430, 543, 9997, 269, 898, 568, 513, 1533, 540, 2407, 15629, 267, 5626, 267, 543, 1514, 1134, 5630, 543, 8647, 630, 295, 698, 26508, 267, 476, 1220, 278, 1040, 634, 6240, 20964, 602, 12391, 666, 3895, 513, 1268, 779, 1072, 2362, 982, 519, 1225, 894, 1797, 540, 3044, 6646, 269, 3414, 12391, 267, 519, 1416, 575, 1853, 26342, 519, 2783, 540, 519, 18579, 693, 513, 4514, 4110, 267, 7175, 1864, 17017, 547, 1623, 12949, 1125, 607, 2877, 267, 543, 1683, 519, 3617, 1416, 2877, 676, 519, 3461, 269, 2060, 713, 10522, 540, 1620, 519, 4299, 1268, 1732, 267, 972, 568, 3152, 4960, 540, 5466, 519, 3461, 779, 6499, 267, 2870, 519, 2877, 8669, 1465, 538, 1010, 17017, 15629, 267, 2790, 267, 543, 1514, 1134, 5630, 630, 310, 20490, 267, 476, 1960, 279, 1916, 14813, 26475, 538, 3733, 24822, 540, 5516, 454, 310, 20490, 11225, 8808, 968, 553, 513, 1480, 2257, 540, 2043, 543, 1480, 1134, 1373, 1107, 19210, 2833, 799, 616, 25358, 676, 9952, 267, 4357, 267, 3621, 267, 1609, 4854, 267, 543, 5837, 1480, 1416, 8852, 892, 630, 310, 20490, 267, 476, 2735, 279, 1040, 634, 1523, 849, 11363, 12391, 607, 3844, 547, 8808, 267, 543, 568, 9247, 1018, 519, 3069, 2115, 547, 8275, 269, 16711, 568, 711, 1152, 827, 27955, 606, 19210, 610, 4576, 1107, 621, 779, 3564, 602, 563, 2005, 568, 827, 519, 12016, 1373, 4712, 547, 1647, 9637, 593, 519, 3003, 1373, 540, 519, 6587, 538, 1931, 547, 3713, 1010, 17017, 4835, 3510, 267, 543, 18836, 9758, 6161, 3842, 12391, 8090, 28078, 3842, 968, 332, 913, 906, 267, 17267, 267, 11132, 7215, 267, 5773, 267, 9623, 267, 5905, 267, 3280, 267, 11913, 7215, 543, 1114, 3621, 267, 2930, 267, 12716, 267, 543, 1480, 4480, 540, 2792, 1848, 634, 1599, 540, 9637, 568, 16363, 3648, 1898, 267, 607, 513, 6364, 540, 1287, 519, 12016, 8761, 7029, 543, 25442, 9837, 547, 1921, 609, 519, 3461, 693, 513, 4514, 3942, 267, 3976, 4657, 883, 606, 2500, 5351, 538, 8808, 519, 3461, 1586, 547, 1072, 267, 9308, 267, 14156, 267, 543, 32375, 630, 310, 20490, 267, 476, 1220, 277, 1916, 296, 7703, 538, 2247, 2348, 547, 2709, 1416, 547, 513, 3461, 945, 779, 7092, 689, 513, 12363, 4576, 543, 723, 1044, 5116, 538, 15096, 308, 1416, 269, 769, 713, 2013, 267, 519, 3461, 729, 711, 5827, 540, 14379, 607, 513, 1439, 1267, 540, 646, 729, 2907, 538, 513, 635, 320, 1107, 606, 10626, 540, 14639, 23846, 779, 6240, 593, 713, 2013, 1131, 2154, 803, 547, 1521, 711, 3274, 519, 4299, 1268, 2705, 1010, 1920, 2818, 267, 2868, 12264, 269, 2334, 568, 267, 594, 1810, 1406 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1143, 543, 30576, 333, 747, 2494, 11245, 20726, 693, 6639, 23258, 2484, 23630, 6788, 1759, 9003, 593, 31607, 5638, 780, 6962, 692, 298, 1803, 26186, 603, 779, 968, 23219, 538, 24656, 892, 5713, 607, 513, 5614, 4580, 585, 3695, 3638, 7214, 14099, 17364, 6530, 267, 1612, 777, 2134, 1108, 267, 5289, 1143, 267, 1624, 738, 1143, 267, 543, 22884, 269, 5548, 1324, 883, 891, 10562, 11890, 32514, 919, 11972, 3673, 5209, 609, 12012, 2829, 540, 9637, 267, 6891, 2792, 267, 543, 519, 3406, 585, 10700, 5168, 269, 1306, 4207, 1382, 5170, 547, 4161, 3964, 26336, 267, 2502, 9691, 2943, 1930, 16490, 569, 609, 11786, 5396, 3788, 1898, 585, 14237, 1134, 26455, 4961, 5827, 540, 10188, 1950, 2152, 6849, 2221, 779, 1158, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 23219, 538, 24656, 454, 2108, 12179, 18481, 4359, 454, 8702, 547, 2782, 538, 24656, 269, 901, 1271, 1433, 729, 1582, 1790, 21242, 676, 918, 1803, 26186, 603, 538, 476, 2735, 279, 543, 814, 1279, 1044, 856, 540, 1820, 282, 26186, 603, 781, 13629, 2754, 1100, 3476, 6818, 267, 543, 1010, 1141, 629, 8083, 1185, 1044, 7164, 585, 1296, 269, 1412, 23219, 538, 24656, 262, 630, 310, 328, 295, 264, 5161, 540, 513, 13972, 1063, 26186, 603, 543, 513, 834, 4134, 10603, 617, 1221, 6891, 257, 945, 10645, 547, 581, 513, 4759, 540, 513, 1895, 10912, 3294, 1412, 763, 769, 6665, 1043, 5441, 25692, 763, 3898, 5161, 540, 2055, 543, 4267, 269, 26186, 603, 2829, 602, 519, 4267, 941, 4607, 676, 13128, 1603, 543, 1224, 1394, 547, 519, 30409, 11769, 585, 2689, 543, 15494, 269, 634, 2055, 543, 4267, 602, 2408, 538, 519, 1257, 616, 2965, 519, 1267, 540, 1896, 23200, 540, 2689, 543, 4901, 269, 634, 1570, 3976, 6383, 568, 1312, 20310, 543, 8903, 267, 543, 5526, 547, 581, 540, 4105, 2956, 547, 1480, 2486, 269, 2334, 568, 513, 3409, 649, 1294, 782, 519, 942, 282, 713, 942, 594, 10505, 602, 519, 3409, 568, 5963, 20582, 269, 634, 5467, 1058, 581, 19230, 269, 901, 1433, 568, 540, 1463, 6161, 547, 14956, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 645, 7495, 312, 267, 631, 18853, 1299, 9501, 7644, 3951, 1315, 9147, 27405, 625, 1299, 2552, 7337, 658, 11310, 1315, 23452, 6406, 3074, 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, 519, 2038, 476, 736, 628, 2540, 267, 21760, 5964, 2968, 519, 12473, 10938, 540, 513, 1713, 4074, 3350, 1634, 607, 519, 12548, 8534, 12668, 269, 901, 1974, 6825, 513, 7432, 1448, 538, 1977, 1686, 267, 607, 4600, 10692, 585, 1732, 13848, 267, 10930, 2175, 267, 543, 6284, 540, 741, 2924, 269, 634, 6560, 540, 891, 5755, 19379, 19141, 519, 4207, 7521, 827, 519, 17254, 4346, 267, 6552, 960, 267, 543, 519, 4657, 2470, 540, 7694, 269, 2913, 721, 5490, 4514, 883, 713, 4241, 3184, 540, 1977, 4074, 1686, 780, 763, 3735, 13524, 543, 2038, 14206, 5553, 4718, 4028, 22713, 543, 20012, 2066, 519, 2136, 2276, 269, 1306, 1007, 6080, 7153, 267, 4213, 8179, 10464, 4074, 267, 1419, 29227, 7925, 19366, 5095, 269, 15021, 5599, 3549, 5665, 538, 12548, 941, 1100, 9868, 269, 3687, 619, 5249, 1279, 3108, 896, 13818, 2175, 585, 803, 4526, 2628, 269, 674, 745, 1598, 725, 23017, 936, 538, 476, 5002, 274, 267, 3056, 547, 513, 3126, 540, 16716, 6896, 676, 519, 2136, 17719, 20709, 540, 3013, 630, 9331, 23354, 1040, 1452, 3527, 1305, 519, 3942, 585, 519, 12548, 8534, 12668, 780, 1103, 3210, 547, 519, 772, 300, 23354, 781, 12180, 3646, 267, 5755, 3549, 21534, 4357, 3354, 4229, 543, 1151, 545, 1243, 1489, 689, 2199, 1876, 11268, 8041, 269, 20222, 30192, 1063, 519, 1079, 5011, 267, 4611, 538, 3875, 7063, 543, 28896, 269, 2290, 540, 519, 4666, 31586, 13685, 7018, 593, 4989, 476, 736, 267, 476, 4489, 275, 267, 693, 23160, 869, 267, 12548, 267, 1141, 519, 2817, 15050, 8118, 3595, 593, 11495, 19379, 543, 741, 3885, 267, 11318, 562, 31106, 1004, 267, 1519, 2021, 543, 1453, 269, 634, 23160, 869, 7136, 21492, 3357, 547, 21843, 519, 22266, 1065, 1833, 5185, 676, 4600, 8165, 585, 4824, 2175, 780, 28347, 8381, 992, 14355, 3964, 519, 8189, 593, 11633, 9534, 538, 476, 4489, 274, 547, 8495, 4074, 13882, 899, 1346, 11200, 532, 538, 12548, 269, 2991, 6217, 21981, 689, 1585, 8639, 267, 519, 10243, 5950, 922, 1867, 538, 476, 4489, 276, 267, 25759, 602, 7839, 28407, 11478, 1369, 519, 5755, 2872, 269, 898, 1572, 585, 3152, 2229, 6304, 547, 2149, 11832, 2924, 543, 3106, 269, 4014, 519, 7525, 1764, 540, 519, 1867, 729, 3908, 267, 621, 8329, 547, 3395, 1857, 4656, 540, 4074, 2152, 543, 5280, 17362, 519, 1259, 585, 2663, 15024, 780, 24137, 4464, 547, 519, 8938, 23867, 2540, 267, 543, 519, 5251, 540, 960, 814, 2899, 1586, 7960, 13497, 269, 5303, 6087, 5520, 547, 1685, 4247, 20716, 267, 20747, 2590, 2757, 6302, 1063, 1753, 543, 5604, 269, 4340, 547, 513, 476, 1708, 271, 1353, 676, 6820, 13480, 2897, 22860, 9455, 2593, 267, 2834, 960, 27408, 25571, 12417, 1851, 519, 1875, 268, 1345, 15041, 23903, 2551, 723, 6738, 676, 476, 15876, 260, 2094, 476, 1220, 276, 269, 2060, 713, 6521, 2501, 1312, 3255, 543, 2591, 269, 2201, 835, 1688, 267, 6552, 960, 2636, 2043, 547, 2972, 2799, 8112, 267, 13190, 267, 543, 1761, 15271, 269, 1717, 267, 621, 849, 12651, 4145, 827, 3348, 13895, 7694, 267, 13385, 1514, 20038, 267, 543, 3059, 13178, 780, 2026, 649, 2992, 2390, 519, 12548, 8534, 12668, 543, 2015, 519, 5571, 7004, 540, 960, 267, 1896, 19320, 1831, 7805, 269, 5637, 8658, 4125, 9840, 4478, 519, 3666, 540, 1379, 1063, 12820, 543, 5520, 267, 519, 1909, 540, 2029, 538, 5935, 4074, 6990, 267, 543, 519, 991, 585, 7347, 3656, 10850, 547, 16102, 4600, 262, 4690, 269, 5047, 267, 789, 5031, 519, 6043, 543, 8990, 540, 8723, 1004, 20678, 547, 2087, 741, 6381, 5103, 23773, 9465, 780, 2414, 6536, 2565, 3206, 543, 6278, 609, 891, 1950, 2152, 267, 16929, 1522, 3651, 1053, 519, 1739, 2238, 1384, 265, 21302, 3119, 2959, 1644, 547, 519, 12548, 8534, 12668, 267, 971, 607, 11356, 4930, 267, 5022, 267, 610, 11147, 267, 543, 6218, 741, 5380, 593, 519, 4655, 269, 4841, 666, 1287, 5635, 543, 4334, 891, 3140, 6054, 609, 4207, 6589, 540, 17254, 4346, 4600, 14957, 585, 1732, 2175, 563, 265, 3194, 2413, 6377, 8320, 540, 4074, 19727, 610, 17933, 17275, 676, 6639, 1689, 630, 324, 3052, 1421, 17600, 1996, 11878, 6879, 2130, 5867, 899, 772, 828, 543, 10370, 1111, 1070, 543, 2708, 2436, 4245, 689, 519, 12548, 8534, 12668, 4019, 538, 891, 3871, 563, 265, 13891, 622, 519, 26350, 543, 19363, 540, 6069, 4507, 6322, 693, 5466, 2591, 15054, 676, 519, 17254, 4346, 267, 971, 607, 15409, 2640, 14565, 610, 9086, 26587, 3152, 29541, 1379, 547, 28479, 19188, 543, 4830, 25255, 269, 11559, 1053, 547, 2721, 4296, 1063, 2250, 4074, 5322, 543, 1459, 6377, 14223, 3646, 780, 3528, 6313, 519, 12548, 8534, 12668, 998, 519, 7828, 540, 4207, 7835, 267, 1053, 786, 2744, 3407, 4030, 883, 519, 11972, 10083, 540, 4074, 1686, 543, 15052, 741, 7071, 585, 519, 5571, 1391, 585, 14619, 543, 15683, 538, 519, 9036, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 25444, 6487, 519, 2640, 540, 2324, 2228, 563, 268, 5590, 707, 8430, 454, 268, 8073, 942, 5191, 454, 268, 5620, 811, 1852, 540, 875, 1454, 2724, 596, 1118, 454, 268, 4518, 9170, 538, 519, 1158, 2507, 23950, 5896, 602, 596, 723, 31923, 454, 2005, 729, 1152, 513, 1906, 1296, 3516, 602, 1034, 1004, 16363, 2228, 6009, 607, 1085, 4461, 269, 1635, 1034, 1004, 267, 649, 616, 13288, 547, 519, 4425, 9593, 5108, 563, 1607, 568, 519, 2085, 1895, 602, 1185, 547, 960, 2182, 547, 1118, 1269, 272, 543, 4769, 1405, 1332, 909, 609, 2029, 563, 302, 19520, 5481, 723, 5293, 1524, 519, 7242, 602, 621, 568, 968, 11069, 6372, 892, 547, 7118, 513, 3020, 2713, 2228, 269, 3683, 519, 1296, 267, 602, 2239, 814, 4957, 269, 1656, 649, 2811, 865, 6126, 621, 814, 2336, 22897, 814, 17146, 519, 1259, 649, 5968, 267, 2661, 938, 2729, 267, 543, 7118, 513, 2713, 563, 6524, 649, 4685, 883, 938, 1592, 267, 1577, 781, 2689, 930, 540, 519, 1034, 1455, 2055, 602, 1004, 2307, 2933, 2816, 10122, 563, 272, 269, 3657, 891, 2228, 6009, 2334, 9796, 28315, 9758, 888, 8133, 256, 5272, 2582, 835, 540, 891, 6009, 568, 513, 16048, 4747, 2707, 563, 2005, 781, 2141, 1271, 547, 798, 707, 1382, 950, 596, 616, 3168, 585, 16048, 6009, 2228, 563, 296, 3858, 18222, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 25886, 1315, 2136, 2276, 1315, 3557, 1299, 10871, 1315, 4639, 630, 288, 298, 267, 11404, 267, 2910, 267, 31254, 267, 9517, 267, 24211, 267, 715, 309, 267, 29031, 267, 654, 312, 264, 1315, 12548, 8534, 12668, 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, 8080, 547, 938, 3460, 998, 942, 543, 2230, 607, 649, 2263, 835, 540, 519, 1034, 3532, 2477, 538, 2342, 910, 5125, 256, 1284, 786, 1451, 827, 922, 1686, 267, 2528, 267, 4346, 267, 543, 1893, 269, 1924, 31617, 909, 543, 1205, 4712, 585, 606, 3078, 11878, 2439, 4131, 781, 1376, 609, 930, 9238, 269, 5620, 596, 2479, 4862, 540, 5125, 286, 898, 781, 4092, 538, 3844, 2342, 543, 8843, 10665, 609, 1082, 824, 3864, 6082, 899, 5333, 267, 16848, 267, 15212, 267, 12996, 267, 16862, 267, 19934, 267, 16231, 807, 267, 543, 24006, 10603, 32490, 269, 4706, 3854, 2749, 568, 12670, 267, 799, 568, 849, 519, 4102, 2749, 538, 519, 2197, 269, 9894, 596, 917, 602, 5125, 814, 1044, 19618, 2185, 2053, 2429, 922, 1279, 1686, 286, 1452, 2621, 3576, 1747, 538, 476, 280, 7830, 5084, 267, 476, 6942, 272, 267, 476, 3707, 280, 267, 543, 476, 1960, 271, 1107, 3833, 11141, 267, 1318, 2496, 3086, 1577, 781, 2911, 827, 9322, 269, 30767, 1797, 4947, 1927, 607, 835, 1004, 267, 4687, 1455, 2418, 267, 4978, 267, 9821, 267, 543, 5389, 269, 1411, 666, 1589, 540, 621, 607, 1373, 851, 540, 513, 2462, 1920, 1141, 3025, 5654, 856, 585, 1142, 824, 269, 2334, 781, 1018, 16586, 1705, 950, 789, 4956, 547, 1106, 741, 1378, 4182, 1572, 519, 8549, 6243, 540, 5125, 1394, 538, 476, 3707, 280, 1310, 2622, 2782, 4083, 8694, 269, 4595, 1287, 267, 789, 723, 5249, 2182, 547, 2226, 9322, 1851, 2933, 1247, 18245, 4763, 1369, 741, 2950, 269, 4256, 2138, 1729, 267, 834, 292, 514, 580, 651, 527, 3768, 1234, 19816, 3768, 6154, 328, 15241, 2437, 18922, 547, 834, 4462, 640, 543, 10456, 543, 15213, 2437, 10452, 891, 4295, 3741, 780, 9202, 2501, 5126, 269, 5994, 2713, 538, 513, 1158, 1141, 3388, 568, 4023, 543, 3160, 585, 3025, 269, 3143, 2339, 945, 596, 616, 610, 1141, 596, 2097, 689, 267, 1169, 1268, 19262, 547, 581, 5701, 609, 11587, 543, 2463, 269, 901, 1523, 6013, 693, 519, 2295, 540, 5125, 781, 16324, 1062, 267, 4180, 4708, 543, 10103, 1851, 922, 4961, 269, 1635, 1739, 4031, 1759, 593, 5126, 267, 1004, 1745, 2922, 6616, 789, 2661, 538, 513, 2486, 602, 30128, 585, 873, 780, 4517, 6368, 267, 5191, 256, 6056, 827, 707, 5172, 2238, 610, 12348, 269, 9320, 596, 2648, 4730, 5026, 267, 5373, 5961, 267, 2542, 2835, 267, 610, 3274, 16304, 856, 609, 2828, 269, 3767, 4952, 952, 2576, 5143, 596, 602, 596, 7948 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 15812, 918, 539, 345, 4536, 7288, 267, 11001, 693, 519, 2817, 4659, 540, 11621, 543, 5303, 630, 301, 8780, 264, 814, 2919, 513, 1505, 547, 2087, 519, 10069, 7497, 4398, 540, 9023, 1949, 585, 1804, 5010, 5656, 269, 634, 6240, 568, 1759, 593, 519, 1840, 540, 1507, 5666, 540, 19149, 656, 538, 519, 3579, 656, 267, 713, 1840, 7393, 3002, 4483, 563, 300, 269, 918, 539, 345, 4536, 7288, 814, 2919, 519, 3652, 547, 1246, 547, 2824, 519, 1034, 3617, 1826, 540, 19149, 656, 1031, 538, 519, 9023, 1062, 19605, 269, 634, 19993, 568, 6603, 950, 519, 2407, 19149, 656, 3579, 656, 689, 519, 29459, 540, 519, 2627, 8082, 543, 25297, 563, 763, 19149, 656, 1287, 3029, 513, 4670, 593, 519, 2627, 540, 519, 9023, 5277, 267, 799, 10607, 519, 8574, 2773, 538, 3154, 5123, 269, 1403, 713, 6602, 568, 24019, 593, 513, 1804, 4336, 1062, 267, 621, 1131, 4688, 827, 476, 272, 476, 17168, 260, 540, 5479, 737, 2662, 1031, 454, 2335, 1302, 676, 519, 9023, 1949, 538, 519, 2136, 2276, 267, 610, 519, 6697, 540, 476, 276, 267, 276, 2929, 29054, 540, 3282, 829, 1032, 269, 0, 5327, 11220, 607, 513, 7059, 1935, 547, 10789, 6044, 267, 891, 2326, 1683, 513, 4396, 5748, 538, 519, 17950, 269, 1358, 11168, 2789, 11269, 540, 3252, 865, 1053, 666, 4766, 3252, 7223, 1227, 267, 3113, 1227, 267, 6746, 1227, 543, 8231, 958, 269, 10439, 1565, 2994, 543, 2653, 3562, 17000, 1806, 616, 5916, 609, 513, 5402, 533, 3166, 1935, 547, 519, 6169, 267, 607, 2042, 2333, 538, 7411, 269, 4934, 9227, 17948, 1362, 4967, 630, 10193, 2139, 607, 18544, 585, 16841, 338, 264, 1489, 519, 2143, 3232, 3992, 4566, 269, 18838, 676, 6276, 654, 523, 330, 267, 11819, 540, 519, 5729, 538, 519, 22337, 2284, 267, 4993, 1133, 1881, 3427, 10588, 543, 519, 10588, 779, 4569, 22895, 528, 11819, 267, 519, 1576, 568, 2966, 585, 1007, 3610, 267, 856, 6361, 1922, 1752, 3610, 267, 610, 519, 14357, 609, 1082, 4928, 21339, 269, 0, 14503, 1662, 11568, 538, 11412, 531, 634, 31706, 476, 272, 281, 6751, 272, 288, 8459, 4967, 1546, 1188, 630, 1428, 2187, 1432, 568, 519, 1599, 540, 519, 17669, 1062, 888, 272, 269, 13067, 652, 1738, 7939, 540, 1216, 543, 22803, 9357, 3666, 454, 273, 269, 31203, 540, 10894, 3653, 2472, 543, 4914, 6464, 689, 519, 1973, 543, 741, 608, 17917, 538, 10729, 454, 1432, 616, 519, 1614, 3157, 540, 519, 11840, 566, 540, 519, 10729, 888, 272, 269, 31207, 566, 4386, 538, 519, 1350, 9593, 15252, 454, 268, 674, 2830, 1674, 540, 1973, 11919, 3029, 12974, 3433, 713, 13788, 519, 8685, 2737, 630, 852, 1572, 8685, 983, 5714, 994, 268, 11873, 689, 8685, 983, 5714, 547, 1973, 630, 10520, 14978, 610, 1612, 864, 961, 983, 994, 268, 11873, 689, 1973, 547, 8685, 983, 5714, 454, 1432, 6675, 1106, 519, 12974, 3433, 543, 1018, 3112, 1106, 621, 888, 12850, 267, 772, 16699, 543, 7280, 666, 454, 1103, 6081, 267, 1250, 18331, 267, 688, 655, 18331, 267, 19186, 6058, 630, 2889, 974, 1231, 264, 3112, 454, 1432, 568, 3987, 1202, 760, 323, 639, 3361, 676, 888, 272, 269, 634, 17418, 540, 519, 14401, 547, 18359, 1216, 630, 325, 7528, 550, 30614, 543, 3665, 19818, 994, 273, 269, 901, 568, 1813, 547, 513, 3668, 540, 5084, 295, 1813, 547, 3441, 547, 20968, 31726, 610, 1267, 540, 6391, 610, 30783, 14189, 454, 2252, 596, 723, 544, 1112, 584, 819, 17244, 267, 1018, 1281, 7363, 8451, 689, 888, 299, 1077, 17256, 8778, 2042, 971, 607, 3968, 267, 6553, 454, 1432, 798, 5714, 543, 23386, 20817, 4122, 1267, 689, 888, 30262, 531, 15717, 3361, 689, 688, 655, 17871, 4539, 609, 9025, 2934, 630, 21990, 267, 522, 539, 9047, 267, 26032, 540, 7362, 994, 1432, 798, 23015, 5328, 20817, 4122, 1267, 689, 888, 1432, 798, 579, 571, 8598, 4122, 1267, 689, 888, 272, 269, 12580, 540, 17669, 5821, 630, 14683, 1377, 540, 1973, 579, 16699, 994, 273, 269, 10897, 7974, 8598, 630, 14683, 1377, 540, 9436, 748, 2472, 9984, 29723, 1173, 344, 267, 15353, 267, 13481, 267, 30604, 454, 1432, 1281, 519, 2557, 540, 19288, 2268, 888, 292, 24351, 540, 519, 8459, 855, 2352, 547, 2268, 454, 1432, 1281, 24999, 2268, 888, 29797, 582, 16375, 4320, 540, 1973, 689, 799, 513, 6219, 1131, 581, 4625, 6569, 676, 19288, 538, 476, 272, 8792, 454, 1432, 1281, 621, 1611, 950, 11919, 24999, 568, 1447, 982, 717, 15709, 888, 2691, 6219, 568, 22012, 543, 556, 25388, 5523, 855, 621, 3884, 1405, 9658, 1540, 630, 675, 320, 543, 7280, 994, 1432, 1281, 621, 1611, 950, 11919, 24999, 568, 811, 982, 717, 15709, 888, 763, 6219, 568, 22012, 543, 9658, 1540, 267, 855, 711, 556, 25388, 5523, 630, 5183, 295, 543, 16948, 3133, 2129, 2089, 584, 545, 3679, 994, 1432, 6219, 568, 11884, 22012, 689, 519, 1973, 1698, 650, 2456, 883, 519, 6367, 332, 753, 23555, 267, 9444, 556, 25388, 5523, 610, 9658, 1540, 676, 519, 8685, 2737, 543, 814, 1100, 16765, 1198, 593, 17669, 10307, 888, 24456, 30713, 21839, 728, 538, 6081, 543, 1525, 24100, 630, 335, 22004, 693, 513, 9425, 3586, 2557, 538, 519, 4887, 994, 1432, 568, 1031, 547, 2268, 519, 717, 15709, 7363, 543, 1946, 888, 24478, 24100, 268, 1175, 22012, 267, 1100, 556, 25388, 1632, 267, 2370, 3787, 540, 21131, 0, 1692, 1772, 519, 968, 5719, 987, 9177, 892, 8871, 6838, 888, 2108, 1320, 748, 1343, 540, 5195, 9114, 1063, 519, 911, 15436, 1242, 1762, 15076, 540, 24230, 26785, 543, 1977, 1453, 6534, 547, 5208, 543, 824, 11213, 2833, 267, 855, 519, 3929, 3845, 1063, 873, 949, 711, 581, 865, 1390, 1848, 1765, 300, 2117, 918, 31348, 2006, 267, 634, 6115, 5403, 563, 15371, 649, 899, 621, 610, 711, 267, 649, 616, 782, 4299, 2047, 610, 18549, 676, 2669, 269, 901, 568, 3020, 7488, 540, 1141, 649, 2661, 24568, 513, 2197, 602, 568, 986, 22486, 676, 10795, 4655, 610, 538, 835, 602, 21593, 3448, 6617, 563, 15578, 23314, 540, 519, 968, 1372, 987, 2528, 892, 666, 581, 2938, 538, 519, 1164, 11841, 540, 4965, 267, 2587, 340, 880, 267, 3075, 8213, 267, 16377, 267, 1582, 1673, 652, 10614, 2623, 267, 11980, 267, 543, 2527, 12638, 2221, 269, 7905, 7812, 918, 792, 331, 267, 540, 519, 4972, 540, 24205, 543, 28668, 540, 27076, 2160, 538, 5842, 21293, 267, 7147, 267, 772, 2529, 6993, 1421, 6045, 609, 2543, 547, 519, 12879, 540, 519, 1641, 540, 2669, 281, 968, 5804, 938, 3735, 14206, 2540, 642, 656, 720, 1448, 2073, 649, 1265, 602, 1547, 1547, 1547, 2669, 568, 4742, 6444, 607, 519, 3844, 3846, 1143, 5817, 519, 1272, 267, 21755, 267, 543, 2497, 540, 519, 1514, 1931, 269, 12280, 568, 519, 544, 2224, 540, 938, 10764, 267, 24866, 267, 2797, 19237, 267, 6575, 543, 2564, 4066, 269, 898, 23619, 14786, 543, 6142, 4507, 267, 1045, 580, 528, 919, 519, 13602, 540, 938, 8613, 3292, 267, 543, 1547, 1547, 1547, 1256, 7060, 938, 6080, 1848, 2913, 721, 4983, 930, 1806, 540, 875, 713, 7613, 267, 1572, 2669, 2528, 267, 568, 28955, 538, 938, 2053, 563, 763, 22312, 540, 1488, 916, 454, 763, 968, 1372, 987, 2528, 892, 568, 28955, 593, 513, 3232, 4493, 538, 519, 9042, 540, 7916, 269, 14022, 14613, 616, 1031, 547, 6146, 7980, 267, 855, 5631, 789, 6146, 21127, 267, 1851, 873, 17608, 2021, 543, 1453, 269, 769, 10617, 267, 2436, 3540, 610, 6382, 267, 1272, 568, 2141, 10464, 269, 1215, 1454, 1281, 519, 16886, 540, 606, 18272, 514, 610, 513, 2879, 23803, 1942, 888, 292, 6470, 1857, 1569, 547, 7916, 538, 930, 2477, 814, 8507, 538, 513, 32049, 543, 3586, 2333, 538, 519, 7972, 540, 2043, 607, 1134, 607, 2516, 540, 1004, 269, 2991, 519, 1164, 1153, 15246, 13357, 538, 9741, 2023, 267, 12548, 267, 17600, 21256, 1317, 540, 519, 7839, 9042, 540, 7916, 543, 741, 2653, 8244, 547, 1295, 832, 269, 634, 1297, 540, 1762, 1004, 538, 519, 2136, 2276, 945, 5884, 3423, 1836, 568, 24034, 1765, 3147, 1800, 547, 5240, 15553, 12139, 267, 606, 3328, 540, 476, 2412, 513, 3018, 269, 2986, 891, 267, 3592, 476, 3445, 2600, 616, 15246, 9601, 269, 901, 568, 3160, 547, 476, 5611, 2527, 659, 637, 899, 602, 693, 9741, 2023, 1142, 1032, 2336, 763, 30007, 2622, 454, 300, 990, 625, 17908, 519, 1641, 540, 2669, 269, 1280, 1383, 267, 519, 4729, 540, 513, 4670, 1522, 1350, 600, 528, 1125, 1799, 528, 1275, 267, 5208, 267, 3075, 19338, 267, 610, 6896, 6760, 543, 3976, 7413, 519, 1871, 540, 1272, 543, 5837, 3741, 269, 1703, 616, 8874, 538, 799, 2669, 568, 1256, 11509, 1242, 1765, 24119, 1112, 532, 519, 7242, 540, 1272, 1310, 2669, 543, 519, 9277, 2132, 540, 930, 547, 3643, 519, 2713, 1765, 338, 6326, 1152, 547, 24735, 1125, 2669, 563, 763, 1482, 568, 3020, 540, 930, 8613, 3292, 543, 2575, 269, 4340, 547, 3377, 5359, 267, 519, 1762, 15294, 18996, 540, 9741, 2023, 941, 535, 969, 550, 23507, 3464, 540, 513, 4224, 22256, 945, 814, 1831, 4583, 585, 968, 663, 5766, 2106, 344, 267, 2893, 23307, 2592, 2223, 543, 8964, 609, 968, 29442, 525, 540, 18326, 543, 2669, 3034, 1103, 519, 2136, 2276, 267, 519, 1259, 8613, 3292, 616, 15951, 729, 15428, 547, 2149, 1762, 1004, 689, 7487, 1570, 602, 1522, 1860, 873, 28148, 269, 634, 1267, 814, 1044, 4831, 335, 8793, 269, 22189, 1325, 614, 267, 1603, 538, 5240, 15553, 267, 8292, 602, 713, 968, 16673, 1118, 3214, 1616, 519, 24193, 4829, 811, 1848, 1261, 3773, 602, 538, 1931, 547, 17847, 543, 8078, 622, 1346, 3743, 883, 4227, 5208, 538, 519, 2923, 267, 5518, 22735, 1131, 723, 968, 1729, 15597, 1224, 519, 4408, 540, 782, 519, 2462, 3549, 630, 663, 741, 9460, 11675, 264, 892, 602, 711, 1152, 1118, 9413, 540, 5679, 604, 902, 543, 19827, 540, 2048, 32184, 560, 320, 22850, 685, 855, 849, 3132, 2780, 3766, 877, 3292, 602, 1450, 1453, 547, 968, 8072, 341, 7398, 1302, 685, 6146, 1004, 3034, 5719, 987, 538, 11473, 10632, 543, 593, 519, 5769, 454, 1103, 1010, 1433, 634, 12280, 332, 2255, 2494, 28685, 334, 267, 7917, 654, 2130, 23607, 519, 8560, 540, 865, 10777, 2669, 332, 2255, 3756, 1851, 10708, 269, 2608, 6004, 269, 654, 2130, 11099, 602, 606, 11895, 2486, 540, 32266, 814, 16204, 2426, 909, 1472, 713, 7613, 269, 1452, 3756, 2731, 723, 519, 1198, 267, 711, 540, 18997, 267, 855, 540, 3450, 547, 6146, 269, 968, 5522, 11691, 609, 513, 2661, 18545, 689, 9170, 538, 519, 1158, 267, 543, 3843, 547, 6961, 3054, 267, 568, 513, 3532, 1995, 269, 898, 779, 2731, 2653, 547, 1205, 647, 22486, 883, 602, 2223, 654, 2130, 8292, 269, 20390, 30105, 616, 16290, 676, 519, 3196, 540, 519, 1614, 8820, 7653, 2966, 607, 1394, 323, 28979, 585, 519, 26481, 9620, 269, 3502, 2348, 1569, 998, 519, 5769, 267, 930, 4444, 3381, 3766, 877, 15004, 547, 946, 593, 519, 8613, 693, 1753, 269, 11524, 2688, 3320, 979, 547, 1857, 4025, 1141, 789, 10519, 3381, 3766, 877, 6191, 543, 723, 2048, 341, 23709, 685, 24515, 547, 519, 2669, 609, 824, 17837, 563, 7212, 968, 1372, 987, 332, 2255, 892, 3756, 616, 9286, 2687, 547, 519, 2085, 540, 519, 6345, 267, 519, 5168, 568, 602, 972, 568, 1360, 2370, 1852, 269, 9050, 10117, 4458, 6040, 3798, 23135, 689, 519, 2136, 2276, 29499, 281, 968, 10144, 2356, 2995, 596, 596, 2461, 711, 2025, 2614, 267, 855, 789, 1810, 1406, 3247, 596, 689, 9140, 1496, 1492, 3014, 316, 1848, 1261, 21593, 835, 602, 5161, 540, 9496, 13050, 610, 326, 625, 269, 4014, 1010, 3237, 616, 3222, 540, 713, 543, 798, 711, 899, 621, 267, 789, 10355, 2638, 547, 1294, 952, 646, 568, 4730, 519, 3014, 269, 2290, 21717, 6603, 713, 3932, 281, 968, 5978, 5108, 568, 2484, 811, 964, 31731, 1242, 547, 5208, 982, 1022, 824, 5108, 269, 7641, 338, 6318, 1453, 1631, 811, 982, 3237, 798, 267, 543, 8613, 3032, 619, 547, 1453, 779, 10795, 6720, 553, 625, 1848, 3627, 700, 14657, 267, 1603, 538, 5240, 15553, 267, 7150, 281, 968, 4415, 607, 1082, 607, 476, 1556, 2929, 14038, 1631, 2228, 1496, 514, 519, 2136, 2276, 3910, 811, 543, 811, 540, 15730, 1272, 568, 2921, 1747, 538, 513, 5251, 602, 568, 538, 17739, 1043, 547, 1082, 3237, 3034, 16908, 4149, 1399, 956, 2334, 8048, 547, 12280, 454, 1432, 827, 2623, 3544, 519, 1158, 540, 968, 1372, 987, 332, 2255, 892, 3756, 543, 10795, 8874, 286, 4014, 538, 1483, 1272, 649 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 543, 20993, 707, 4876, 4058, 607, 606, 30168, 563, 19423, 619, 24732, 268, 4002, 4804, 19662, 454, 21982, 909, 606, 13188, 4110, 2488, 1053, 899, 596, 609, 1565, 3255, 602, 666, 948, 596, 1174, 519, 2804, 3466, 269, 1452, 3255, 949, 1331, 2804, 6901, 543, 3785, 267, 2780, 11191, 267, 543, 1256, 2361, 1740, 1382, 3785, 563, 2690, 1383, 267, 707, 1576, 1522, 2154, 596, 547, 4497, 538, 513, 24892, 1788, 547, 15378, 519, 2804, 1764, 540, 513, 1880, 1870, 5823, 593, 519, 2199, 4346, 563, 4913, 267, 538, 782, 2665, 267, 13197, 606, 13188, 4110, 786, 2285, 596, 606, 4316, 547, 4019, 707, 1451, 902, 543, 2744, 1434, 1382, 1995, 538, 519, 2361, 563, 17809, 1938, 1411, 2060, 15240, 656, 658, 25827, 3493, 628, 1656, 11879, 15154, 454, 288, 4110, 538, 13188, 6087, 596, 547, 2263, 1585, 5784, 827, 2804, 4507, 543, 2055, 269, 15380, 267, 519, 1576, 849, 3091, 513, 2647, 2039, 540, 4485, 547, 9297, 269, 1656, 607, 596, 7119, 538, 519, 3292, 3177, 676, 606, 13188, 1576, 267, 596, 2461, 2111, 547, 1589, 9691, 543, 723, 606, 538, 3829, 1620, 540, 519, 2804, 2152, 12725, 543, 24323, 563, 1103, 4641, 267, 519, 1353, 540, 13188, 3884, 1406, 1175, 827, 519, 3741, 543, 6436, 269, 898, 779, 827, 7311, 891, 3741, 543, 4507, 547, 1174, 543, 2232, 2804, 3466, 543, 2042, 519, 1158, 568, 6849, 2221, 563, 17798, 267, 952, 596, 2461, 3168, 547, 581, 513, 1390, 30168, 538, 519, 2104, 267, 946, 519, 1344, 5018, 1657, 547, 948, 596, 6430, 2436, 606, 13188, 4110, 568, 519, 3501, 1576, 585, 596, 269, 0, 2710, 596, 917, 827, 14914, 286, 14914, 568, 2808, 547, 581, 835, 540, 519, 1292, 14812, 540, 519, 4168, 2146, 269, 1280, 1082, 4168, 13039, 267, 14914, 568, 519, 1034, 1271, 543, 7772, 995, 13037, 602, 2501, 1310, 519, 1439, 540, 519, 30766, 523, 4005, 269, 898, 568, 9976, 607, 513, 1554, 585, 519, 24446, 540, 4906, 689, 519, 4666, 269, 2201, 713, 1554, 1082, 10271, 2628, 11564, 547, 519, 13039, 267, 713, 2680, 568, 2219, 547, 581, 519, 1655, 13037, 543, 519, 1554, 568, 6170, 538, 7772, 676, 28551, 741, 6068, 3283, 543, 2348, 1187, 1927, 563, 2467, 568, 513, 2603, 540, 1344, 827, 519, 2027, 2680, 282, 952, 596, 1616, 547, 917, 811, 543, 2333, 707, 1702, 827, 14914, 649, 616, 1934, 547, 948, 596, 269, 1284, 723, 10356, 519, 1034, 4277, 543, 13181, 14914, 2055, 538, 713, 14914, 31851, 2055, 267, 538, 1931, 547, 2333, 707, 2489, 1702, 540, 519, 1034, 1271, 2680, 269, 634, 31851, 2055, 616, 2417, 19040, 883, 1114, 6810, 1519, 519, 14914, 31851, 2055, 267, 5013, 267, 1574, 614, 2055, 543, 4267, 267, 1434, 11016, 2055, 267, 543, 1454, 811, 563, 3201, 12569, 595, 4047, 290, 298, 281, 476, 3583, 266, 16032, 25624, 31851, 2055, 454, 292, 2120, 31851, 2055, 454, 1432, 568, 519, 2601, 3297, 14914, 286, 4208, 798, 789, 8661, 888, 763, 1360, 1101, 14914, 5798, 2681, 941, 1018, 888, 27716, 9782, 689, 4666, 1310, 875, 1082, 2395, 540, 19746, 888, 9989, 14914, 8661, 593, 799, 4266, 1142, 1032, 888, 1103, 476, 23283, 9460, 799, 14643, 4956, 519, 9183, 540, 14914, 888, 7617, 8768, 23327, 4906, 24446, 888, 5804, 799, 2197, 519, 1523, 540, 14914, 536, 22324, 12090, 888, 1432, 729, 519, 1292, 1523, 3297, 14914, 536, 22324, 888, 7617, 19980, 548, 20549, 547, 3398, 519, 4906, 24446, 888, 27716, 12617, 593, 4171, 19772, 888, 8005, 20386, 4906, 538, 12308, 543, 5423, 1864, 585, 19746, 888, 24168, 10790, 312, 9338, 12569, 22244, 17395, 281, 476, 3583, 266, 29055, 31054, 2558, 14746, 5999, 454, 292, 2120, 2558, 14746, 12700, 454, 288, 14094, 2103, 946, 1018, 3079, 540, 519, 14914, 536, 22324, 888, 6097, 547, 519, 22258, 540, 1665, 267, 1310, 519, 24446, 540, 4906, 267, 547, 7247, 646, 1101, 7902, 888, 6097, 547, 513, 2487, 5619, 875, 1082, 25576, 757, 540, 1004, 1376, 4189, 14914, 536, 22324, 689, 519, 1274, 888, 7617, 1826, 540, 12308, 1031, 547, 16833, 519, 1560, 540, 4906, 888, 10376, 1032, 1977, 6108, 875, 1454, 2724, 593, 14914, 17711, 888, 4002, 799, 4266, 519, 1101, 5993, 3043, 2777, 14914, 4212, 729, 18202, 888, 7617, 1977, 7022, 18202, 519, 1101, 5993, 3043, 2777, 14914, 4212, 888, 3201, 12569, 595, 4047, 290, 298, 281, 3199, 266, 8342, 2558, 14746, 2055, 585, 12322, 454, 292, 2120, 2055, 543, 4267, 454, 14187, 11016, 3357, 1354, 799, 21649, 888, 4002, 14914, 1554, 1018, 568, 519, 2012, 540, 519, 2245, 538, 799, 7206, 593, 5798, 4371, 888, 303, 903, 17249, 12090, 689, 799, 2197, 888, 1432, 729, 519, 1292, 6662, 540, 14914, 957, 476, 4572, 279, 888, 2710, 596, 917, 519, 2012, 540, 2757, 3694, 946, 538, 6576, 593, 14914, 1554, 888, 7617, 1977, 9085, 7548, 5206, 519, 2757, 14914, 1728, 19282, 968, 10000, 689, 519, 717, 17311, 1261, 589, 13427, 892, 888, 763, 14564, 2285, 1018, 1826, 540, 13862, 547, 4906, 888, 24168, 10790, 312, 9338, 12569, 22244, 17395, 281, 476, 3199, 266, 7454, 5253, 2558, 14746, 2055, 454, 292, 2120, 2558, 14746, 609, 4267, 7824, 454, 2710, 596, 917, 519, 2597, 540, 519, 1158, 4102, 10217, 14914, 4212, 888, 6124, 3840, 4975, 14914, 31959, 1831, 1360, 4583, 543, 1831, 513, 2245, 593, 799, 1032, 888, 21156, 540, 14914, 536, 18365, 625, 267, 13785, 3214, 10571, 909, 1018, 888, 2108, 17764, 10475, 568, 519, 2095, 602, 2306, 803, 3043, 607, 6777, 892, 891, 3515, 13603, 689, 799, 2757, 14914, 1728, 19282, 888, 3674, 519, 14914, 536, 22324, 2760, 5018, 538, 519, 6426, 888, 310, 699, 14117, 32138, 941, 519, 3312, 22153, 332, 9994, 890, 10134, 454, 6097, 547, 519, 2817, 4825, 841, 18966, 875, 1082, 6871, 540, 1977, 3643, 5939, 593, 14914, 10732, 888, 8005, 5189, 14914, 13755, 6339, 883, 1977, 2442, 2528, 538, 476, 4350, 274, 888, 3201, 12569, 595, 4047, 290, 298, 281, 476, 3199, 266, 476, 276, 628, 6103, 2558, 14746, 5999, 454, 292, 2120, 2558, 14746, 8342, 5500, 454, 7617, 3694, 1587, 689, 519, 1592, 568, 2404, 609, 14914, 888, 12148, 610, 7301, 281, 519, 3312, 22153, 332, 9994, 890, 788, 1185, 12209, 888, 1103, 519, 7260, 968, 305, 1047, 540, 519, 15050, 2103, 892, 945, 1404, 519, 1909, 540, 519, 14914, 536, 22324, 888, 292, 2120, 5798, 616, 519, 6698, 540, 1018, 888, 8489, 519, 4102, 14914, 4212, 2291, 888, 288, 4005, 540, 17509, 1354, 14914, 1572, 30766, 267, 798, 596, 917, 519, 8653, 540, 30766, 888, 11243, 519, 1747, 1141, 519, 4583, 1715, 3840, 14914, 31959, 4371, 888, 26773, 14914, 2055, 454, 2108, 21589, 6798, 1696, 610, 6798, 892, 9717, 547, 519, 1158, 676, 7247, 593, 1169, 14914, 888, 27716, 20595, 799, 2681, 540, 27972, 752, 950, 646, 4682, 547, 519, 3444, 888, 4537, 17311, 13638, 568, 1776, 2012, 540, 799, 13037, 888, 2710, 596, 3314, 519, 2012, 540, 1022, 5182, 689, 14914, 31959, 476, 3707, 279, 888, 29128, 476, 3707, 272, 3567, 729, 519, 1034, 14914, 700, 25788, 1163, 7163, 547, 519, 2136, 2276, 269, 1772, 713, 3948, 3020, 888, 2690, 519, 17578, 1513, 540, 6576, 945, 7472, 581, 329, 1168, 601, 539, 14914, 5798, 888, 4002, 26054, 10732, 4906, 887, 1372, 883, 13243, 998, 799, 11878, 888, 7617, 2197, 12857, 3244, 6773, 14735, 888, 292, 2120, 6816, 2887, 538, 799, 2197, 888, 4263, 14914, 1554, 799, 2197, 8695, 12926, 12235, 11369, 1115, 540, 1216, 936, 6690, 888, 292, 2120, 476, 1001, 279, 8593, 593, 799, 4266, 888, 10303, 519, 14914, 4266, 568, 711, 6378, 267, 1018, 971, 1826, 540, 13037, 1572, 888, 274, 2395, 1354, 14914, 1572, 1018, 888, 297, 644, 553, 2697, 4906, 547, 519, 7980, 676, 3257, 1018, 957, 888, 14187, 11016, 2558, 14746, 2055, 543, 4267, 454, 14187, 11016, 568, 519, 862, 655, 2610, 540, 519, 16961, 32267, 542, 540, 4906, 269, 1717, 267, 972, 568, 1100, 17005, 4704, 547, 519, 16961, 32267, 542, 540, 4906, 3544, 519, 1715, 11620, 563, 14187, 11016, 8813, 593, 519, 1482, 1554, 1169, 1032, 563, 7617, 540, 891, 2829, 1705, 10691, 5431, 6153, 11016, 607, 513, 3656, 9702, 538, 476, 1708, 271, 888, 1103, 4436, 18702, 4654, 267, 519, 13411, 1554, 568, 1419, 1572, 10127, 325, 516, 527, 698, 267, 799, 1797, 1018, 888, 7617, 540, 891, 568, 10691, 513, 4137, 538, 519, 1650, 540, 2441, 779, 16961, 32267, 542, 888, 17843, 717, 28145, 2594, 1114, 2161, 902, 540, 4906, 593, 519, 3444, 269, 1215, 1082, 1114, 968, 25669, 902, 892, 616, 972, 888, 8005, 4547, 513, 4627, 6550, 540, 1250, 337, 9071, 543, 620, 4141, 585, 4906, 1310, 1010, 2669, 547, 1747, 538, 519, 32028, 609, 519, 1560, 538, 2616, 766, 540, 6014, 19746, 9821, 888, 7617, 540, 519, 1739, 568, 19845, 17129, 2693, 547, 2049, 593, 6153, 11016, 538, 1396, 17790, 5389, 888, 15919, 267, 593, 6153, 11016, 267, 1004, 3643, 968, 1492, 10473, 540, 519, 3444, 5608, 2592, 18995, 519, 16961, 32267, 542, 540, 4906, 269, 6904, 540, 519, 1739, 568, 10691, 3335, 835, 540, 519, 10473, 888, 7617, 540, 519, 1739, 568, 513, 1455, 2259, 593, 6153, 11016, 538, 519, 5651, 822, 1014, 5783, 286, 0, 293, 745, 1598, 566, 667, 727, 630, 18509, 7149, 281, 3738, 568, 513, 1804, 1212, 341, 21724, 4672, 26434, 827, 476, 4343, 562, 27658, 5195, 630, 3583, 5998, 264, 22703, 540, 6778, 26673, 3205, 538, 5839, 269, 21662, 517, 8092, 267, 19778, 269, 634, 26434, 729, 519, 3135, 540, 513, 2995, 23757, 2678, 6728, 3964, 1282, 606, 8241, 2817, 21303, 3194, 30609, 1431, 630, 3198, 22664, 264, 29906, 689, 631, 1177, 5459, 13749, 547, 6778, 918, 329, 518, 6390, 538, 476, 3422, 278, 267, 543, 729, 865, 3957, 676, 4888, 22664, 1317, 519, 29906, 5428, 729, 16607, 1934, 676, 6174, 15059, 267, 8488, 532, 12032, 540, 519, 5619, 2394, 519, 1985, 5614, 563, 763, 590, 1048, 5674, 15142, 568, 513, 1895, 540, 10239, 540, 9793, 4463, 543, 827, 476, 5038, 5998, 630, 2412, 11465, 264, 6708, 267, 4092, 476, 4366, 5998, 630, 1789, 11465, 264, 5087, 540, 519, 670, 879, 6199, 15142, 538, 6022, 1067, 8092, 267, 19778, 563, 763, 2974, 17369, 15142, 616, 513, 2101, 21303, 7823, 2039, 267, 14084, 7178, 540, 519, 681, 3317, 1157, 3794, 659, 1512, 543, 7678, 532, 5087, 547, 5045, 585, 827, 476, 5002, 21240, 630, 14093, 11465, 1040, 634, 4183, 568, 22112, 547, 519, 5087, 676, 623, 787, 528, 3794, 659, 1512, 543, 519, 14355, 22193, 563, 763, 13584, 8176, 15142, 616, 513, 2101, 1895, 540, 10239, 538, 5839, 269, 21662, 517, 8092, 538, 19778, 267, 1519, 519, 19158, 657, 16186, 267, 519, 623, 2180, 657, 16186, 267, 543, 519, 589, 1090, 529, 16186, 269, 634, 5207, 8445, 568, 6778, 9093, 345, 625, 269, 4033, 7986, 19589, 616, 6778, 594, 345, 8475, 548, 543, 6778, 853, 710, 541, 269, 1452, 10239, 1927, 609, 824, 16559, 19589, 1106, 606, 9095, 827, 476, 18605, 5195, 1279, 267, 14178, 689, 519, 25610, 540, 6778, 10060, 2775, 538, 519, 5087, 547, 6153, 14588, 539, 715, 684, 520, 6545, 538, 519, 5045, 563, 763, 8845, 15142, 616, 513, 1804, 1297, 540, 9678, 19589, 14084, 5045, 540, 2549, 1495, 11420, 7345, 538, 661, 837, 2421, 8092, 540, 5101, 19778, 267, 19778, 269, 5494, 2642, 593, 476, 1724, 5130, 476, 4350, 271, 676, 519, 3703, 8241, 1715, 10215, 21303, 3194, 30609, 819, 630, 289, 3198, 313, 22664, 264, 896, 11184, 19958, 631, 1177, 5459, 269, 1261, 3957, 519, 4183, 8845, 16186, 1310, 18279, 7917, 24415, 935, 8845, 267, 9576, 13108, 269, 634, 2165, 10239, 568, 2808, 811, 3617, 1317, 540, 519, 10072, 540, 922, 1367, 2934, 563, 288, 628, 657, 16186, 568, 519, 7187, 2865, 2039, 538, 519, 13584, 8176, 15142, 540, 5839, 269, 21662, 517, 8092, 267, 19778, 269, 634, 2039, 5161, 540, 1082, 1367, 10239, 543, 562, 684, 520, 6545, 602, 7678, 7532, 29891, 585, 476, 2412, 5195, 630, 5038, 5998, 264, 2059, 519, 5087, 2427, 540, 590, 1097, 12848, 3794, 659, 1512, 563, 310, 12291, 22193, 568, 513, 1895, 540, 16559, 15113, 267, 562, 684, 520, 6545, 543, 31393, 602, 8831, 32065, 4149, 292, 585, 827, 476, 8099, 21240, 630, 6924, 11465, 264, 1063, 4223, 2224, 341, 747, 3794, 659, 1512, 543, 623, 787, 528, 3794, 659, 1512, 538, 19778, 269, 1358, 941, 4362, 676, 31924, 16452, 24282, 749, 267, 9576, 13108, 267, 593, 519, 6833, 571, 25429, 30609, 819, 538, 5988, 476, 4489, 272, 1282, 7917, 24415, 935, 8845, 781, 2063, 16939, 267, 543 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1082, 15088, 267, 3850, 713, 2596, 1101, 19195, 5955, 1062, 547, 581, 5827, 540, 8383, 908, 15491, 2623, 269, 1280, 1383, 267, 609, 713, 1826, 540, 1935, 267, 16846, 268, 13905, 543, 3527, 8506, 513, 3476, 25146, 949, 581, 8383, 730, 269, 8074, 849, 602, 543, 798, 711, 723, 547, 2291, 8195, 267, 610, 789, 949, 581, 1256, 15427, 676, 18312, 9259, 269, 769, 1840, 267, 782, 5468, 1644, 547, 875, 1547, 543, 2097, 827, 616, 4835, 547, 519, 11248, 267, 799, 1281, 711, 23868, 5007, 7506, 676, 1259, 540, 519, 1604, 12018, 741, 2623, 563, 2690, 519, 4090, 267, 2015, 1152, 602, 519, 4086, 1807, 814, 513, 5955, 5547, 602, 16621, 513, 3586, 547, 12189, 519, 3017, 270, 19587, 270, 15574, 267, 2073, 602, 568, 6383, 607, 519, 1267, 540, 519, 2962, 540, 519, 10313, 1807, 593, 519, 19670, 10444, 6673, 543, 519, 5955, 5365, 2073, 602, 568, 267, 649, 8263, 1547, 634, 2013, 585, 568, 711, 2417, 2808, 1934, 267, 1317, 519, 8247, 568, 547, 5635, 519, 835, 268, 12407, 2678, 5955, 8520, 547, 602, 540, 513, 7271, 269, 769, 2489, 267, 519, 1198, 540, 519, 2165, 568, 547, 2901, 3986, 610, 18359, 552, 267, 9117, 2147, 547, 513, 3965, 1599, 269, 1284, 2417, 4063, 602, 538, 713, 1753, 528, 4854, 1383, 602, 519, 5470, 568, 711, 513, 2165, 602, 6411, 607, 513, 6880, 333, 2045, 15494, 3815, 267, 2094, 649, 616, 711, 7231, 609, 2901, 513, 6806, 2000, 17274, 6880, 333, 2045, 5955, 5547, 610, 609, 513, 10859, 12641, 2216, 2000, 17274, 6880, 333, 2045, 5955, 5547, 269, 13298, 267, 621, 9356, 513, 1582, 18022, 22235, 6476, 540, 519, 9300, 3693, 269, 898, 9356, 1018, 519, 1753, 528, 4854, 11248, 14439, 607, 1344, 538, 519, 1604, 563, 8201, 476, 274, 568, 513, 4729, 540, 519, 3977, 936, 519, 3403, 267, 1775, 4318, 1421, 1547, 769, 713, 1880, 2013, 267, 513, 3586, 1871, 540, 6673, 815, 476, 272, 568, 1031, 267, 543, 9775, 689, 476, 271, 269, 272, 547, 476, 272, 269, 271, 538, 3526, 906, 540, 476, 271, 269, 272, 267, 4611, 538, 476, 1015, 14258, 6383, 693, 476, 1015, 942, 9912, 338, 269, 8074, 602, 519, 2681, 2275, 5317, 538, 519, 1079, 1507, 2592, 593, 519, 1318, 2427, 568, 1031, 547, 1397, 875, 519, 9819, 540, 568, 5340, 269, 634, 14258, 538, 519, 3113, 1397, 519, 17545, 540, 519, 16846, 268, 9146, 4470, 593, 519, 1871, 540, 1547, 634, 7455, 585, 513, 1871, 540, 17158, 338, 782, 519, 824, 14258, 607, 621, 14251, 919, 1063, 519, 2418, 540, 476, 271, 543, 476, 272, 936, 942, 267, 31552, 6024, 24254, 540, 519, 16846, 268, 9146, 269, 2353, 20422, 14258, 1397, 606, 14251, 2218, 5786, 936, 942, 269, 1280, 1383, 267, 519, 7455, 585, 1310, 8757, 513, 8445, 540, 476, 272, 269, 271, 693, 942, 8884, 476, 272, 814, 513, 12402, 547, 581, 7123, 1472, 513, 1871, 540, 476, 271, 269, 280, 1310, 513, 942, 8884, 540, 476, 273, 563, 8269, 518, 2590, 1586, 547, 7612, 476, 273, 630, 1231, 564, 538, 7612, 476, 274, 1070, 4063, 602, 606, 2201, 270, 19423, 9594, 6467, 568, 1459, 269, 901, 9594, 6467, 786, 2611, 2201, 585, 3017, 270, 19587, 270, 15574, 267, 2073, 2418, 1657, 513, 1978, 4704, 1871, 267, 855, 621, 786, 2611, 5510, 2630, 602, 1482, 4704, 1871, 269, 18391, 693, 7612, 476, 274, 267, 952, 606, 17062, 9594, 4704, 1871, 568, 1305, 547, 519, 1871, 2073, 519, 16846, 268, 9146, 786, 9594, 2899, 585, 782, 2418, 540, 2073, 855, 621, 786, 9594, 2185, 3606, 2053, 585, 519, 1871, 2073, 835, 3606, 942, 585, 513, 1871, 540, 2073, 543, 621, 786, 2611, 15427, 11179, 585, 513, 1871, 540, 1547, 8074, 602, 713, 4704, 1871, 267, 607, 1134, 607, 519, 1871, 540, 2073, 616, 1312, 4628, 3989, 676, 519, 11248, 538, 2243, 267, 4470, 593, 1082, 2188, 267, 1519, 1346, 5018, 1657, 563, 2414, 17412, 267, 519, 1657, 6609, 3947, 519, 2796, 540, 9623, 22052, 641, 334, 625, 529, 607, 621, 12211, 547, 18105, 4094, 13443, 6508, 16846, 268, 13905, 538, 519, 2796, 540, 519, 4214, 540, 645, 919, 517, 1344, 281, 513, 3017, 799, 2306, 513, 3017, 269, 901, 4214, 540, 1344, 10522, 513, 11050, 6712, 630, 320, 3017, 264, 543, 513, 12007, 6712, 630, 320, 3017, 799, 2306, 513, 3017, 264, 1547, 634, 11050, 6712, 568, 519, 3017, 270, 19587, 270, 15574, 602, 568, 11117, 676, 519, 10313, 1807, 602, 2164, 538, 519, 3350, 540, 606, 11248, 16289, 720, 1813, 547, 519, 16846, 268, 9146, 282, 519, 12007, 6712, 568, 519, 1753, 528, 4854, 6422, 540, 519, 11248, 269, 1280, 1383, 267, 952, 519, 4743, 540, 14000, 676, 606, 1367, 16571, 267, 519, 957, 540, 4189, 1964, 2803, 519, 1753, 528, 4854, 6422, 607, 519, 11248, 4422, 827, 922, 5042, 1870, 563, 1103, 2110, 267, 1934, 568, 513, 2185, 9912, 12497, 1436, 540, 875, 713, 5955, 11191, 540, 519, 11248, 9967, 540, 513, 835, 268, 12407, 2678, 32190, 543, 10313, 1807, 1568, 912, 288, 4086, 1807, 568, 1305, 547, 513, 4704, 9936, 267, 799, 568, 3989, 676, 476, 3248, 763, 9300, 630, 821, 540, 519, 1292, 12823, 264, 30193, 519, 1871, 540, 519, 9571, 9936, 3248, 763, 4086, 1807, 3489, 338, 519, 3017, 270, 19587, 1063, 519, 9571, 9936, 543, 519, 4704, 9936, 3248, 763, 9571, 3017, 270, 19587, 568, 519, 1344, 2877, 547, 2901, 1450, 610, 711, 1450, 519, 957, 6672, 540, 513, 16846, 268, 9146, 563, 300, 281, 1411, 4330, 606, 4277, 1383, 540, 1344, 2504, 267, 855, 621, 1152, 2982, 602, 1344, 568, 2813, 9706, 22004, 689, 1945, 602, 2907, 6818, 543, 3252, 563, 297, 281, 901, 1383, 568, 1644, 547, 875, 513, 2713, 1373, 3252, 538, 519, 7706, 540, 9623, 22052, 641, 334, 625, 529, 610, 519, 1582, 1790, 3174, 540, 1344, 269, 1656, 596, 616, 1318, 267, 713, 568, 968, 534, 4277, 1383, 540, 1344, 2504, 855, 621, 1152, 2982, 602, 1344, 568, 2813, 9706, 22004, 689, 1945, 602, 2907, 6818, 543, 3252, 6100, 769, 713, 2013, 267, 602, 2048, 31138, 685, 602, 2907, 3252, 543, 6818, 568, 513, 2713, 1373, 269, 5015, 267, 602, 2048, 31138, 685, 568, 519, 1152, 3364, 602, 666, 1711, 1344, 2901, 2047, 610, 18549, 269, 901, 568, 519, 4644, 540, 9623, 22052, 641, 334, 625, 529, 563, 3086, 267, 594, 786, 2626, 707, 15795, 2243, 540, 2436, 1152, 2713, 7919, 2270, 23995, 648, 1344, 610, 952, 824, 2067, 543, 5924, 5841, 1949, 666, 849, 2270, 23995, 648, 1344, 269, 3958, 267, 1018, 1281, 621, 1611, 547, 4558, 3017, 888, 5804, 519, 1657, 6609, 267, 711, 1152, 2713, 7919, 2270, 23995, 648, 1344, 269, 2353, 2010, 540, 13742, 267, 607, 1134, 607, 782, 1949, 1644, 547, 6176, 543, 9442, 16370, 630, 2975, 25629, 1070, 2270, 23995, 648, 1344, 269, 769, 824, 1913, 267, 1344, 568, 8659, 23995, 1819, 538, 782, 13144, 676, 2713, 7919, 269, 6176, 1281, 711, 2291, 538, 7186, 4849, 607, 513, 1267, 540, 519, 2962, 540, 782, 2713, 7919, 538, 1344, 5137, 610, 9623, 22052, 641, 334, 625, 529, 269, 1403, 2713, 7919, 1705, 711, 2291, 267, 972, 568, 1100, 1344, 269, 2107, 267, 28976, 267, 1272, 568, 1344, 267, 543, 1344, 568, 1272, 269, 901, 849, 10522, 602, 972, 568, 17271, 1344, 9444, 538, 519, 11646, 6862, 267, 585, 602, 2339, 267, 538, 938, 1604, 563, 1607, 568, 538, 11685, 547, 1082, 1344, 3173, 267, 4098, 609, 7439, 6975, 654, 1329, 518, 267, 945, 7150, 602, 281, 968, 22033, 568, 1344, 267, 711, 2339, 610, 1648, 269, 3143, 1570, 1143, 799, 1281, 711, 16153, 713, 666, 7639, 693, 519, 1459, 1554, 892, 1547, 2755, 10747, 1344, 267, 538, 713, 3236, 267, 538, 2474, 540, 3294, 267, 654, 1329, 518, 1281, 979, 593, 547, 1020, 513, 4214, 540, 1344, 476, 602, 19320, 602, 540, 1744, 27553, 269, 4329, 267, 654, 1329, 518, 779, 3948, 10522, 602, 1344, 568, 1776, 4909, 7274, 538, 2470, 267, 538, 1840, 547, 2339, 543, 1648, 269, 1717, 267, 1344, 568, 711, 513, 4909, 7274, 540, 519, 7122, 269, 5029, 3359, 2901, 2631, 3001, 2339, 19841, 1458, 610, 6521, 2990, 9706, 619, 8826, 281, 538, 513, 2631, 2870, 5163, 269, 1924, 267, 1344, 568, 513, 1587, 540, 519, 6024, 8226, 540, 6422, 10444, 7851, 676, 2713, 7919, 952, 596, 946, 645, 919, 517, 779, 3017, 799, 2306, 513, 3017, 269, 8616, 654, 1329, 518, 779, 3409, 814, 7283, 796, 23896, 539, 676, 1082, 267, 1519, 21575, 267, 543, 1010, 14751, 566, 540, 519, 4909, 2470, 540, 1344, 568, 3144, 607, 22258, 269, 901, 13514, 606, 7543, 844, 663, 776, 585, 1570, 1143, 543, 4665, 919, 519, 18094, 540, 1344, 607, 606, 4830, 543, 5924, 11050, 270, 984, 11187, 11769, 269, 1323, 4277, 2243, 602, 1522, 581, 15054, 547, 2263, 891, 2093, 2417, 568, 281, 1215, 547, 2491, 17027, 267, 14421, 1670, 267, 543, 1256, 6211, 3621, 8906, 607, 5613, 540, 9623, 22052, 641, 334, 625, 529, 267, 2864, 982, 607, 519, 1267, 540, 2921, 5413, 540, 17271, 1344, 538, 7186, 888, 5194, 1935, 602, 9388, 609, 519, 6228, 540, 1344, 538, 2067, 1949, 267, 1625, 19959, 569, 547, 4308, 609, 2055, 971, 607, 519, 835, 15054, 1657, 267, 568, 602, 6069, 676, 31311, 18961, 602, 2829, 912, 2108, 10303, 540, 519, 5203, 1275, 540, 1570, 4205, 267, 543, 849, 1317, 972, 568, 1100, 4098, 540, 2339, 543, 942, 267, 1100, 1570, 1062, 538, 519, 7122, 666, 723, 7283, 538, 922, 3312, 3355, 1533, 609, 1100, 5872, 609, 824, 1570, 1949, 269, 769, 519, 2165, 594, 723, 22579, 547, 4766, 713, 1533, 540, 12602, 267, 1022, 1843, 568, 513, 1582, 17272, 9407, 968, 514, 845, 25593, 892, 602, 814, 27772, 782, 5686, 540, 1344, 827, 2250, 267, 1459, 543, 2104, 3889, 543, 2829, 269, 4595, 621, 568, 519, 1570, 2470, 540, 606, 1217, 25593, 602, 519, 3601, 540, 1022, 1843, 13822, 513, 9322, 540, 1463, 543, 9940, 6228, 267, 713, 9322, 849, 814, 519, 17784, 3959, 540, 1373, 519, 2707, 540, 1344, 267, 519, 15298, 540, 1344, 543, 519, 1344, 3294, 693, 519, 1482, 942, 269, 1306, 513, 1267, 267, 649, 666, 1294, 519, 9165, 540, 21141, 6228, 281, 6176, 543, 2339, 30598, 269, 7698, 1235, 1058, 3976, 3398, 602, 519, 2165, 1344, 4016, 547, 1945, 602, 666, 581, 4625, 2040, 4364, 909, 607, 1570, 855, 609, 922, 1378, 2189, 7154, 543, 4567, 540, 6228, 269, 9603, 547, 4835, 543, 5007, 6662, 4205, 267, 3615, 7683, 2234, 5573, 543, 2992, 3067, 320, 547, 519, 5007, 1158, 543, 538, 713, 1184, 6494, 1344, 827, 519, 7154, 543, 1533, 540, 741, 1378, 6228, 4470, 593, 519, 2470, 540, 1346, 3067, 320, 543, 741, 3892, 269, 901, 2982, 602, 519, 21141, 2666, 602, 7472, 543, 9356, 519, 7154, 543, 1533, 540, 2168, 6228, 568, 538, 519, 1570, 1158, 3294, 267, 538, 922, 1378, 2168, 3350, 269, 898, 568, 713, 2168, 3959, 267, 4951, 676, 621, 267, 602, 2306, 713, 1158, 513, 917, 762, 1158, 1848, 4586, 2252, 594, 1174, 18961, 7157, 267, 646, 568, 2022, 6819, 519, 6228, 540, 1344, 607, 1071, 268, 2169, 2400, 609, 519, 6228, 540, 2339, 543, 1648, 267, 799, 568, 513, 2147, 5133, 547, 602, 540, 654, 1329, 518, 269, 1452, 616, 5380, 602, 11716, 519, 3844, 1909, 540, 1480, 7919, 538, 519, 1184, 540, 1344, 269, 901, 568, 5693, 538, 1463, 11685, 547, 1250, 7664, 540, 1018, 645, 919, 517, 23083, 563, 2026, 547, 1018, 621, 1797, 547, 4558, 3017, 267, 713, 4422, 1394, 547, 519, 30424, 1500, 1354, 1851, 3017, 270, 19587, 270, 15574, 269, 1677, 4558, 1344, 538, 1022, 2923, 267, 1018, 596, 616, 2731, 13936, 568, 3604, 281, 1603, 593, 513, 2985, 2982, 3604, 282, 519, 9240, 7174, 538, 513, 11741, 1167, 616, 849, 3604, 602, 616, 6592, 543, 1287, 14648, 676, 513, 3684, 267, 607, 616, 782, 824, 8320, 540, 6592, 1344, 538, 2923, 269, 901, 1223, 1256, 581, 4294, 547, 27090, 791, 29251, 538, 938, 2634, 602, 2992, 2242, 538, 27090, 11387, 267, 6306, 689, 519, 5122, 11444, 602, 616, 21892, 1813, 547, 946, 543, 19074, 563, 300, 281, 4935, 267, 596, 1616, 547, 2161, 602, 950, 654, 1329, 518, 543, 1082, 824, 3173, 7682, 6662, 6228, 540, 1344, 267, 621, 17591, 338, 707, 7664, 540, 645, 919, 517, 779, 968, 3698, 6873, 892, 610, 538, 824, 1913, 267, 596, 3409, 602, 1344, 1281, 711, 2291, 538, 606, 6662, 1106, 563 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 8469, 2787, 568, 711, 513, 3206, 1184, 267, 9444, 11005, 267, 711, 1256, 513, 1305, 540, 2238, 20218, 547, 606, 6364, 563, 8469, 2787, 568, 513, 1907, 540, 2123, 7004, 267, 1582, 20675, 25728, 775, 267, 543, 513, 1434, 1272, 563, 32747, 2090, 6166, 519, 1739, 23963, 24019, 2640, 540, 9066, 912, 268, 25990, 11081, 2566, 3248, 268, 25990, 6971, 2589, 2404, 609, 4965, 267, 4160, 4713, 267, 1928, 267, 543, 20026, 3248, 268, 25990, 10597, 2702, 547, 2628, 3007, 3248, 268, 25990, 4679, 2298, 540, 1272, 563, 16449, 519, 2618, 657, 11703, 2360, 540, 9066, 616, 1732, 2790, 543, 2168, 6051, 267, 4254, 16478, 540, 5876, 267, 543, 1646, 540, 3929, 8425, 30276, 630, 309, 19921, 574, 6403, 337, 15662, 510, 520, 3120, 1916, 306, 2869, 3770, 2360, 540, 9066, 616, 8200, 593, 519, 4485, 267, 2409, 267, 543, 2645, 4294, 269, 0, 1607, 1148, 823, 568, 1863, 547, 1569, 563, 8138, 6996, 657, 7051, 14768, 616, 24245, 2429, 519, 5836, 269, 1358, 723, 13591, 2230, 543, 942, 10253, 1765, 928, 2416, 8544, 657, 7051, 6862, 9145, 1446, 20196, 723, 1500, 873, 21792, 585, 7403, 543, 9781, 2394, 5063, 269, 769, 713, 5618, 2376, 267, 513, 5619, 568, 4843, 540, 741, 3119, 4162, 543, 4612, 633, 3137, 267, 5497, 585, 513, 3376, 5304, 540, 2168, 543, 6915, 613, 12950, 5836, 20802, 269, 14755, 741, 7114, 10253, 267, 1016, 6996, 657, 7051, 14768, 616, 10058, 538, 741, 2095, 3270, 267, 741, 1898, 3846, 673, 3157, 267, 543, 741, 4539, 585, 3560, 267, 11544, 267, 543, 4744, 11692, 538, 519, 2489, 10009, 269, 1703, 616, 1079, 3119, 1016, 6996, 657, 7051, 5095, 267, 513, 28882, 835, 538, 519, 2282, 1606, 16577, 4494, 609, 922, 3335, 4389, 32756, 267, 543, 1776, 642, 677, 673, 835, 267, 6383, 538, 1283, 4919, 530, 1389, 267, 602, 630, 338, 27785, 569, 264, 25361, 519, 30173, 9703, 563, 18250, 19365, 338, 267, 808, 269, 595, 269, 630, 1001, 280, 1040, 589, 5619, 540, 1016, 6996, 657, 7051, 14768, 269, 2983, 657, 7220, 16707, 267, 476, 277, 263, 272, 1070, 476, 272, 1700, 1428, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 14093, 277, 4882, 28147, 7830, 268, 25171, 268, 25320, 274, 268, 274, 0, 19136, 20584, 267, 10123, 3957, 590, 553, 638, 2255, 267, 568, 513, 4552, 344, 1814, 614, 602, 6818, 538, 8832, 2136, 2276, 607, 1134, 607, 8225, 12563, 3271, 545, 2688, 607, 1134, 607, 10828, 269, 8262, 20584, 11338, 814, 519, 12588, 547, 1711, 1480, 6438, 3068, 2934, 267, 543, 713, 814, 1044, 11855, 676, 8262, 20584, 32339, 607, 12319, 602, 8262, 20584, 6818, 563, 1103, 519, 2063, 1906, 1296, 267, 972, 723, 2965, 1044, 2965, 513, 1297, 540, 2462, 20584, 1350, 31663, 525, 5018, 1472, 519, 2197, 269, 8262, 20584, 3620, 2863, 532, 7192, 20601, 15606, 3335, 14202, 891, 3381, 24056, 2228, 538, 8458, 540, 19788, 2462, 20584, 32339, 4947, 689, 782, 936, 519, 4182, 269, 16480, 267, 524, 2106, 923, 723, 2965, 20402, 519, 14496, 540, 891, 8289, 902, 269, 28024, 696, 923, 1448, 856, 602, 1082, 2462, 20584, 3168, 3381, 24056, 616, 538, 1249, 24646, 1115, 269, 8262, 20584, 3620, 2863, 532, 10178, 18267, 17551, 602, 741, 3381, 19827, 7866, 7068, 602, 789, 2161, 616, 2731, 2147, 547, 513, 590, 553, 638, 2255, 563, 763, 14374, 1869, 3788, 2436, 519, 6228, 540, 8262, 20584, 568, 538, 1249, 20582, 269, 15845, 585, 519, 1272, 540, 513, 5707, 534, 267, 796, 3333, 13273, 3662, 899, 8262, 20584, 568, 1759, 7494, 593, 695, 21294, 7044, 267, 26278, 2963, 267, 3308, 1350, 31663, 525, 267, 543, 849, 519, 6228, 540, 513, 1880, 2179, 540, 1480, 6438, 3068, 3334, 269, 8262, 20584, 32339, 1533, 602, 972, 616, 2965, 1585, 5961, 602, 9446, 8262, 20584, 269, 589, 1906, 540, 891, 11147, 723, 849, 1044, 2965, 3769, 538, 519, 1158, 3146, 11471, 2817, 22127, 4750, 563, 15927, 20584, 7192, 20601, 15606, 17551, 602, 741, 6337, 1459, 1018, 789, 2161, 616, 1483, 3734, 8262, 20584, 269, 2368, 16002, 923, 723, 15653, 693, 519, 14496, 540, 519, 2592, 543, 3381, 22089, 11540, 998, 8262, 20584, 3620, 684, 1562, 267, 4648, 538, 519, 8262, 20584, 2872, 8190, 602, 891, 5961, 798, 1459, 1483, 3734, 8262, 20584, 563, 2467, 616, 513, 6292, 540, 10058, 3604, 538, 1063, 8262, 20584, 543, 8262, 20584, 269, 2290, 11984, 568, 2965, 519, 2186, 540, 3662, 269, 8262, 20584, 568, 2965, 5433, 547, 1831, 513, 2462, 267, 554, 15077, 1393, 13442, 267, 1247, 8262, 20584, 568, 2965, 9244, 5156, 547, 1831, 513, 6263, 267, 554, 15077, 1393, 4620, 269, 634, 476, 273, 526, 8390, 29084, 538, 9029, 269, 8262, 20584, 568, 1767, 547, 1831, 513, 5458, 796, 3333, 13273, 13442, 267, 1247, 590, 553, 638, 2255, 568, 5018, 547, 581, 2965, 513, 2370, 267, 15144, 569, 4620, 563, 10376, 8262, 20584, 543, 849, 590, 553, 638, 2255, 2671, 513, 1390, 4308, 7567, 2059, 609, 1585, 824, 5458, 2831, 267, 2705, 789, 4865, 930, 21441, 693, 519, 1482, 942, 269, 5637, 8262, 20584, 543, 849, 8262, 20584, 616, 11329, 856, 547, 4865, 513, 1279, 267, 1668, 1506, 15493, 607, 1134, 607, 17890, 7916, 267, 2943, 1142, 8262, 20584, 607, 1134, 607, 590, 553, 638, 2255, 616, 2965, 711, 2111, 547, 4685, 1164, 563, 13828, 8262, 20584, 607, 1134, 607, 8262, 20584, 616, 10645, 547, 4865, 519, 1761, 547, 1036, 992, 269, 8262, 20584, 814, 1044, 8068, 547, 1689, 12094, 538, 1114, 15437, 607, 1134, 607, 949, 1036, 992, 922, 4552, 269, 8262, 20584, 814, 11338, 1044, 2965, 10645, 547, 581, 5827, 547, 12115, 16398, 602, 723, 2965, 1044, 4547, 2390, 593, 621, 563, 19136, 20584, 814, 2965, 10123, 1044, 2938, 2921, 513, 7552, 676, 1797, 540, 2371, 267, 1498, 621, 568, 2965, 6157, 2760, 1044, 4092, 269, 8262, 20584, 568, 2965, 11329, 856, 547, 1831, 5827, 547, 1711, 21089, 9838, 547, 602, 540, 513, 6263, 13442, 543, 849, 547, 12520, 2912, 3930, 602, 666, 581, 19557, 547, 998, 1004, 543, 824, 7068, 269, 634, 3803, 1448, 602, 8262, 20584, 814, 1044, 2965, 8068, 3257, 568, 3142, 538, 4992, 13380, 547, 606, 1367, 6972, 610, 6340, 563, 19136, 20584, 543, 849, 590, 553, 638, 2255, 21962, 723, 2024, 539, 602, 8262, 20584, 779, 2238, 543, 6208, 723, 2965, 1044, 16913, 998, 4648, 269, 2755, 891, 12665, 666, 711, 6166, 2436, 8262, 20584, 6818, 267, 930, 9244, 3494, 602, 8262, 20584, 6818, 563, 763, 1360, 1655, 4480, 547, 1265, 856, 952, 8262, 20584, 6818, 568, 2965, 547, 5659, 519, 2623, 543, 21697, 540, 8262, 20584, 269, 901, 1935, 814, 1044, 1031, 585, 1296, 547, 3406, 585, 8262, 20584, 269, 2368, 3173, 1745, 602, 8262, 20584, 6818, 267, 1247, 1866, 1810, 1406, 1293, 593, 922, 6228, 563, 2467, 1058, 581, 2965, 7899, 540, 2963, 547, 4217, 922, 1378, 4527, 952, 8262, 20584, 11478, 269, 898, 786, 581, 2965, 14320, 12863, 547, 1265, 952, 8262, 20584, 11478, 6236, 602, 1082, 8262, 325, 334, 1824, 723, 1044, 4767, 998, 4966, 538, 519, 3552, 563, 2304, 3606, 5650, 602, 3744, 1118, 946, 540, 547, 1397, 2436, 8262, 20584, 6818, 568, 547, 4334, 519, 1832, 13475, 540, 2813, 676, 8262, 20584, 543, 8262, 20584, 269, 4107, 540, 8262, 20584, 1832, 13475, 540, 723, 606, 2179, 540, 31393, 593, 782, 540, 873, 602, 616, 2965, 1585, 4947, 689, 1346, 540, 590, 553, 638, 2255, 269, 25392, 602, 8262, 20584, 568, 5921, 547, 581, 513, 5458, 4552, 344, 3662, 267, 621, 568, 2965, 513, 2603, 4443, 547, 6474, 519, 13475, 563, 19136, 20584, 267, 11338, 5219, 547, 607, 590, 553, 638, 2255, 267, 568, 2965, 513, 4552, 344, 1814, 614, 1767, 547, 19582, 519, 3574, 4133, 540, 8832, 2136, 2276, 543, 8225, 10828, 269, 634, 2707, 540, 8262, 20584, 29084, 538, 24895, 267, 609, 930, 1179, 6819, 602, 519, 13442, 814, 1044, 1472, 2016, 602, 519, 21554, 540, 1480, 2486, 607, 1134, 607, 1866, 7682, 532, 621, 547, 581, 2965, 1945, 540, 513, 2887, 2329, 269, 15845, 585, 8262, 20584, 779, 6228, 1223, 581, 13890, 1394, 547, 606, 2179, 540, 19035, 2656, 8874, 267, 8666, 267, 3381, 267, 607, 1134, 607, 8642, 5638, 269, 634, 6169, 6663, 547, 713, 4552, 344, 267, 1279, 3620, 8529, 3662, 607, 2348, 693, 5934, 513, 3119, 15931, 1145, 543, 849, 19579, 540, 588, 13764, 20005, 563, 1607, 8262, 20584, 568, 2965, 2219, 547, 723, 2965, 1044, 519, 1360, 1101, 540, 3875, 7919, 538, 18642, 3255, 602, 616, 2965, 5156, 547, 723, 2965, 12306, 519, 3618, 1813, 547, 741, 6457, 607, 1134, 607, 2702, 547, 22036, 269, 8262, 20584, 568, 11338, 1767, 547, 581, 2965, 3833, 521, 14184, 267, 7555, 909, 693, 5216, 3952, 610, 811, 7381, 267, 609, 513, 5318, 1377, 3068, 607, 1134, 607, 513, 1560, 4988, 609, 4439, 5652, 6960, 4552, 269, 1323, 2179, 540, 5359, 3409, 547, 723, 2965, 2938, 8262, 20584, 269, 589, 1297, 540, 891, 6119, 941, 2965, 11876, 31320, 2919, 547, 2708, 519, 1249, 540, 1585, 824, 6142, 6811, 2705, 1896, 540, 891, 6589, 3180, 3020, 607, 1134, 607, 1397, 909, 547, 7866, 12319, 540, 513, 1804, 267, 2178, 267, 15144, 569, 267, 3662, 6438, 1814, 614, 563, 19136, 20584, 568, 1767, 547, 581, 827, 835, 4627, 607, 1134, 607, 15823, 547, 476, 273, 4627, 607, 1134, 607, 24239, 10887, 1279, 950, 621, 568, 4625, 9450, 269, 1452, 1164, 6142, 6811, 267, 20866, 267, 949, 581, 4092, 593, 11876, 31320, 1813, 547, 519, 1249, 602, 1082, 3173, 1685, 6157, 711, 1491, 7403, 540, 513, 8262, 20584, 950, 621, 568, 3076, 6804, 865, 972, 568, 1100, 1259, 547, 5431, 4010, 1175, 875, 5458, 621, 5963, 568, 2965, 269, 898, 568, 849, 24276, 602, 8262, 20584, 568, 2965, 513, 7242, 2813, 676, 1004, 269, 0, 18128, 2064, 2861, 2090, 723, 7000, 602, 689, 1472, 476, 277, 260, 909, 547, 5176, 476, 2004, 260, 540, 1453, 20836, 741, 4522, 269, 634, 9860, 11148, 547, 7771, 609, 2085, 269, 25362, 343, 1143, 568, 519, 4356, 540, 796, 4621, 19290, 8860, 835, 779, 4522, 267, 2523, 538, 1164, 3613, 816, 1377, 3871, 610, 1282, 3207, 269, 18641, 267, 972, 616, 1082, 3781, 22651, 585, 20015, 343, 1143, 602, 666, 3514, 1134, 609, 4896, 945, 23119, 689, 8860, 741, 4522, 563, 5938, 996, 27497, 1154, 4386, 2390, 10265, 3350, 950, 519, 4522, 5749, 1406, 3001, 269, 13957, 22651, 630, 10193, 1572, 5959, 22651, 610, 5023, 22651, 264, 1683, 513, 8825, 4494, 593, 519, 4522, 269, 1358, 960, 676, 27109, 513, 11064, 1063, 707, 4522, 269, 16270, 8860, 267, 789, 666, 948, 2569, 519, 2604, 543, 2285, 513, 31289, 547, 519, 10265, 6091, 563, 2080, 616, 519, 5722, 1279, 3856, 4539, 540, 4522, 8860, 912, 14503, 520, 1084, 539, 29726, 616, 519, 17149, 3441, 1671, 5224, 689, 3586, 4522, 8860, 610, 804, 523, 4221, 269, 25416, 610, 804, 523, 4221, 666, 1267, 538, 4522, 5957, 543, 15237, 267, 16757, 15319, 1145, 267, 1928, 267, 543, 10265, 3441, 563, 1607, 6941, 1946, 596, 991, 547, 11677, 13350, 11564, 547, 707, 11290, 269, 4340, 547, 519, 1977, 15482, 5948, 630, 4696, 288, 1070, 596, 1058, 1118, 10859, 268, 2335, 783, 20499, 609, 707, 11290, 585, 513, 2638, 1575, 563, 4002, 3328, 267, 1004, 1995, 513, 2530, 540, 476, 271, 269, 274, 28935, 540, 19596, 2627, 1169, 4557, 1296, 1813, 547, 2067, 5694, 5957, 269, 29392, 19596, 1107, 1373, 519, 23698, 6219, 538, 519, 1480, 1560, 1107, 568, 519, 856, 25958, 8720, 540, 707, 4522, 269, 898, 18791, 543, 14014, 519, 4522, 269, 634, 3728, 2530, 540, 5694, 19596, 666, 581, 4049, 543, 1291, 547, 4522, 669, 6235, 543, 25305, 563, 5938, 996, 8860, 267, 952, 2451, 31250, 267, 666, 5555, 3356, 547, 519, 6708, 1141, 972, 568, 7202, 514, 4598, 269, 901, 786, 14816, 519, 19596, 1524, 543, 949, 1291, 547, 4049, 3441, 547, 4522, 543, 10733, 563, 19894, 2638, 5725, 1058, 581, 16516, 547, 948, 26699, 5957, 543, 15237, 3361, 676, 8860, 1354, 621, 3587, 16609, 563, 289, 745, 343, 1143, 666, 581, 865, 3665, 602, 621, 2164, 538, 519, 3138, 657, 2287, 540, 707, 4522, 689, 519, 10265, 14752, 269, 4033, 2152, 267, 899, 519, 5137, 540, 22836, 2059, 519, 10733, 1899, 267, 949, 849, 8451, 269, 13957, 9856, 585, 20015, 343, 1143, 568, 2966, 547, 2061, 2042, 899, 713, 267, 543, 972, 616, 2789, 2010, 547, 3442, 689, 563, 2690, 1004, 609, 20015, 343, 1143, 267, 4522, 8860, 568, 513, 3056, 2014, 540, 10733, 21748, 269, 1280 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5036, 563, 6524, 971, 1806, 616, 3177, 267, 7305, 3091, 606, 7650, 540, 6688, 540, 1239, 602, 616, 538, 2489, 4143, 538, 513, 2883, 2796, 267, 607, 1134, 607, 6093, 1806, 269, 769, 519, 3349, 267, 11295, 1239, 4016, 547, 10230, 1239, 2010, 602, 1419, 2097, 538, 9184, 983, 3889, 267, 1247, 13417, 19099, 1239, 4016, 547, 1239, 538, 519, 1106, 540, 3044, 1257, 602, 1419, 814, 1100, 2497, 3564, 2212, 619, 610, 9433, 267, 585, 1383, 563, 21446, 894, 1239, 4016, 547, 1239, 2010, 602, 616, 3335, 711, 2808, 2883, 1239, 269, 7305, 31999, 2010, 540, 2883, 1239, 5384, 8466, 13419, 3293, 1239, 1133, 560, 19099, 1239, 20010, 1239, 31245, 267, 17950, 5240, 267, 5931, 5680, 267, 1514, 2923, 267, 15408, 20837, 532, 31245, 267, 12531, 5240, 267, 2083, 902, 5680, 267, 1514, 2923, 267, 15408, 267, 5769, 540, 12085, 13419, 3293, 8466, 4578, 3689, 267, 11295, 3140, 1239, 2010, 786, 581, 27366, 1982, 3901, 1227, 269, 4762, 580, 303, 32242, 524, 269, 4578, 2997, 22355, 2073, 623, 1496, 14611, 1320, 1348, 9948, 18438, 593, 3946, 327, 820, 2823, 2433, 3367, 11742, 719, 3367, 11742, 719, 1403, 891, 4170, 616, 1558, 267, 3140, 11295, 1239, 666, 581, 27366, 3842, 513, 2582, 1599, 1289, 563, 302, 3299, 1412, 5960, 10499, 269, 744, 3299, 1412, 301, 14566, 311, 269, 744, 3299, 1412, 4456, 313, 301, 269, 744, 1875, 5991, 1638, 10581, 5038, 476, 272, 9049, 10499, 269, 744, 1875, 5991, 1638, 10581, 5038, 476, 273, 715, 14566, 311, 269, 744, 1875, 5991, 1638, 10581, 5038, 476, 274, 7537, 313, 301, 269, 744, 1875, 5991, 1638, 10581, 5038, 546, 18196, 281, 10581, 5038, 476, 275, 3965, 6165, 281, 476, 280, 269, 744, 11261, 744, 715, 14566, 311, 269, 744, 7537, 313, 301, 269, 744, 744, 28710, 18358, 15045, 269, 661, 4226, 6767, 3299, 1412, 15045, 269, 11038, 942, 3126, 1239, 267, 538, 713, 2796, 267, 568, 519, 14063, 1383, 269, 1717, 267, 824, 11295, 1239, 2010, 971, 607, 4909, 1239, 616, 2139, 538, 519, 1482, 1259, 267, 28976, 519, 960, 540, 11050, 19767, 267, 18318, 267, 14769, 9946, 267, 543, 519, 899, 3648, 563, 1805, 19099, 20837, 532, 4578, 3509, 3156, 538, 8804, 2154, 1483, 6066, 11295, 1239, 267, 971, 607, 538, 5690, 545, 9467, 610, 2344, 1981, 2359, 269, 634, 4644, 540, 713, 8343, 3587, 2312, 950, 3168, 693, 11197, 5549, 269, 11197, 5549, 269, 634, 1739, 3009, 13098, 1407, 8743, 1239, 585, 519, 11197, 6006, 3902, 585, 835, 5662, 1152, 269, 4653, 267, 2883, 5238, 267, 543, 1256, 10685, 18318, 543, 9520, 267, 616, 21947, 609, 2760, 268, 2056, 12535, 540, 1483, 6066, 1239, 269, 634, 1383, 540, 11197, 6006, 14550, 602, 585, 513, 2582, 6006, 1282, 835, 9467, 5662, 267, 972, 1522, 581, 2185, 2053, 607, 1082, 24217, 4947, 538, 607, 519, 2179, 540, 661, 7495, 1239, 19017, 936, 513, 1974, 540, 476, 2412, 1296, 563, 1607, 711, 1152, 2591, 11051, 538, 2883, 6990, 267, 855, 849, 12662, 883, 2243, 2436, 4540, 2883, 6436, 666, 581, 4294, 547, 971, 606, 1604, 693, 782, 269, 1133, 560, 19099, 8466, 4578, 3509, 1271, 1239, 2959, 538, 8804, 1683, 13417, 19099, 1239, 1152, 267, 971, 607, 2883, 3377, 610, 2754, 2083, 902, 269, 25613, 16040, 267, 6191, 616, 1454, 1732, 543, 5488, 982, 3425, 693, 1835, 684, 4221, 1804, 5666, 540, 11295, 267, 10230, 1239, 269, 1717, 267, 2487, 8441, 538, 2067, 1893, 4393, 28589, 1118, 6191, 1732, 543, 5488, 693, 4393, 2883, 3377, 1932, 267, 585, 1383, 563, 1103, 2073, 1239, 3028, 7426, 3824, 652, 10199, 476, 272, 269, 898, 568, 2312, 602, 713, 5318, 2179, 540, 1257, 2861, 1239, 3112, 581, 9268, 5265, 676, 1480, 7919, 269, 7330, 6874, 525, 5055, 1781, 529, 527, 682, 7147, 13248, 3288, 2504, 570, 306, 6369, 10805, 2594, 2504, 543, 5838, 625, 540, 2073, 543, 2073, 6472, 267, 6606, 267, 538, 519, 8772, 10116, 540, 634, 7844, 476, 274, 6498, 10805, 2504, 540, 476, 10436, 267, 6472, 267, 1247, 476, 10844, 267, 6472, 941, 9447, 563, 14303, 4471, 1407, 27034, 585, 513, 1297, 540, 3377, 4930, 602, 2887, 538, 519, 9936, 2039, 8564, 338, 835, 1650, 27306, 585, 799, 547, 23074, 519, 2407, 1257, 4825, 4471, 1407, 519, 2407, 1257, 585, 519, 5697, 2376, 543, 2982, 621, 4578, 2997, 22355, 1133, 560, 19099, 20837, 532, 4578, 769, 519, 1482, 1259, 602, 3140, 13417, 19099, 1239, 568, 27366, 267, 1982, 15122, 29026, 666, 581, 1031, 547, 6908, 13417, 19099, 3377, 1239, 267, 585, 1383, 267, 538, 1483, 942, 610, 693, 2547, 2282, 942, 269, 5240, 3613, 3195, 532, 3498, 1759, 593, 5027, 22337, 13643, 634, 3377, 3613, 3195, 532, 3498, 814, 519, 1739, 1292, 2934, 281, 9509, 1257, 634, 2407, 1257, 540, 1142, 2376, 568, 2139, 676, 14467, 593, 519, 2376, 20927, 563, 7659, 5320, 5758, 589, 20438, 5758, 568, 2813, 543, 9102, 593, 519, 5496, 269, 19672, 1831, 7298, 998, 513, 4945, 593, 519, 21985, 269, 6478, 6531, 589, 2262, 6531, 5758, 3787, 14090, 568, 2813, 267, 3254, 607, 513, 14853, 333, 841, 543, 7298, 1310, 513, 4945, 593, 519, 14853, 333, 841, 1294, 7612, 6478, 6531, 3787, 14090, 3254, 538, 3377, 3613, 3195, 532, 3498, 20010, 4578, 27009, 267, 2883, 5238, 267, 543, 538, 1880, 21963, 7482, 267, 18928, 9553, 513, 1297, 540, 4244, 1239, 2959, 547, 2744, 606, 6316, 538, 9467, 543, 10115, 563, 763, 1101, 13098, 1407, 543, 3157, 11197, 5549, 269, 634, 6151, 14103, 3009, 568, 1287, 27366, 585, 1142, 2046, 5305, 269, 769, 513, 2883, 2796, 267, 621, 1131, 581, 540, 14063, 2956, 547, 14574, 4010, 1018, 13417, 19099, 4244, 1239, 2959, 547, 7148, 883, 269, 634, 2034, 1383, 568, 827, 519, 23023, 540, 1239, 689, 519, 1514, 3060, 12108, 267, 5549, 269, 1677, 713, 1439, 267, 12108, 2488, 16286, 1569, 547, 17408, 1115, 593, 922, 3760, 267, 3177, 835, 814, 1305, 909, 513, 12108, 2272, 14013, 563, 9349, 2469, 883, 2504, 16172, 269, 3973, 596, 786, 5469, 585, 2386, 950, 621, 568, 856, 269, 634, 1259, 519, 17408, 1115, 616, 27366, 689, 519, 12108, 16286, 568, 3592, 538, 2282, 942, 2094, 519, 1034, 2487, 17408, 1115, 616, 15600, 538, 519, 1806, 269, 1452, 543, 2147, 16286, 2861, 1239, 2959, 4061, 1683, 513, 2760, 268, 2056, 6908, 540, 4244, 1239, 585, 799, 267, 607, 5892, 11329, 856, 267, 621, 568, 1271, 547, 14574, 4010, 1018, 835, 568, 3168, 585, 563, 2690, 3833, 513, 1279, 942, 267, 1053, 543, 19174, 1565, 543, 4974, 971, 6436, 941, 811, 610, 1447, 28653, 547, 519, 3069, 3294, 269, 898, 1281, 711, 2154, 1507, 6887, 543, 3677, 2090, 15042, 547, 798, 865, 269, 901, 568, 1018, 713, 3296, 568, 827, 269, 1717, 267, 1354, 11362, 883, 1239, 12454, 11870, 894, 28636, 4860, 529, 1243, 8804, 267, 519, 1739, 1016, 16687, 11828, 13713, 930, 4583, 19433, 525, 538, 519, 2796, 540, 661, 7473, 543, 875, 14078, 2203, 543, 3589, 519, 2623, 540, 2043, 538, 2259, 563, 1607, 568, 519, 3044, 13429, 538, 8804, 543, 519, 2796, 540, 661, 7473, 269, 28687, 1643, 1399, 7449, 6979, 519, 1079, 1114, 3375, 6194, 3871, 269, 26735, 10179, 762, 2090, 543, 6901, 723, 1044, 5342, 547, 7747, 543, 5659, 875, 8069, 13789, 950, 5185, 609, 10462, 607, 3379, 547, 1018, 6436, 971, 607, 661, 7473, 3589, 563, 2690, 5553, 267, 19433, 320, 723, 5129, 606, 1271, 1909, 538, 3375, 6194, 3069, 543, 1382, 269, 2290, 971, 19433, 267, 519, 853, 269, 22642, 7921, 19433, 267, 5795, 4473, 547, 519, 8798, 540, 10626, 3252, 543, 661, 7473, 538, 519, 1101, 1747, 269, 12253, 12672, 537, 25651, 4843, 519, 19433, 11652, 513, 3070, 547, 621, 24568, 634, 19433, 568, 1759, 593, 519, 1739, 11777, 19184, 532, 3014, 717, 269, 1323, 8665, 568, 5185, 609, 513, 3014, 1282, 799, 513, 3501, 11777, 568, 19184, 539, 5732, 28222, 1082, 2053, 269, 1403, 1310, 519, 1101, 19184, 9843, 7173, 5661, 267, 519, 8665, 11392, 513, 2628, 4752, 540, 476, 272, 9304, 1770, 563, 2026, 1279, 607, 9843, 568, 4767, 267, 519, 11777, 568, 19184, 539, 1586, 269, 19227, 519, 3014, 7475, 269, 1403, 9843, 7173, 5661, 513, 2034, 942, 267, 519, 8665, 11392, 606, 3606, 2628, 4752, 540, 476, 273, 269, 1403, 621, 1281, 513, 3791, 942, 267, 519, 3606, 2628, 4752, 568, 476, 275, 269, 1280, 519, 8772, 942, 621, 568, 476, 279, 267, 543, 865, 593, 269, 634, 4397, 2628, 4752, 540, 713, 3014, 568, 12808, 269, 589, 2101, 2601, 585, 713, 568, 519, 1249, 602, 5266, 1804, 2628, 26160, 1152, 4755, 609, 513, 5266, 1507, 5506, 563, 11997, 267, 606, 8665, 1131, 4440, 711, 530, 4526, 1454, 811, 982, 547, 1404, 713, 3014, 269, 634, 1259, 856, 540, 713, 19433, 568, 519, 4367, 540, 513, 10626, 1599, 609, 2318, 855, 13302, 8589, 10626, 269, 769, 519, 2796, 540, 519, 853, 269, 12672, 537, 25651, 10626, 3252, 543, 661, 7473, 8207, 519, 853, 563, 303, 4394, 7921, 19433, 269, 901, 19433, 568, 1759, 593, 606, 4603, 609, 2185, 1114, 3756, 602, 1449, 5396, 1058, 7584, 269, 2290, 2009, 7778, 568, 602, 3375, 15670, 538, 2489, 1871, 22979, 2362, 982, 519, 6093, 3631, 267, 971, 607, 661, 7473, 267, 3589, 269, 6271, 7778, 6013, 538, 25194, 3664, 543, 519, 6530, 540, 3375, 15670, 563, 5194, 4583, 19433, 5466, 28919, 540, 661, 7473, 538, 922, 16148, 1106, 267, 2687, 547, 14205, 720, 2073, 2073, 568, 519, 11875, 338, 6199, 19433, 267, 799, 7389, 1394, 547, 519, 25761, 1957, 676, 11875, 338, 6199, 898, 9607, 519, 2956, 540, 13509, 538, 1082, 1483, 8996, 3375, 3871, 269, 1280, 2712, 333, 476, 273, 267, 621, 568, 1152, 1634, 602, 621, 3568, 3109, 543, 2699, 11084, 855, 711, 538, 799, 8167, 269, 4595, 519, 17831, 585, 3109, 543, 2699, 11084, 267, 6606, 267, 616, 711, 1634, 585, 2712, 333, 476, 273, 267, 3375, 15670, 4782, 513, 3510, 540, 1981, 3079, 540, 13509, 563, 763, 1079, 19433, 320, 540, 2353, 9820, 543, 11875, 338, 6199, 1397, 602, 1483, 1449, 5396, 3833, 1419, 13789, 14669, 547, 1018, 1134, 28004, 3375, 6436, 538, 9297, 3589, 269, 769, 824, 1913, 267, 1480, 7919, 607, 3375, 15670, 666, 538, 2489, 711, 581, 3379, 547, 6191, 602, 5402, 2445, 1239, 543, 1287, 29511, 519, 2338, 547, 1118, 513, 3375, 896, 10462, 267, 581, 621, 538, 519, 1106, 540, 1981, 610, 13509, 563, 14549, 2623, 568, 811, 1950, 982, 1034, 267, 952, 711, 782, 267, 6436, 4867, 2303, 269, 1215, 2352, 543, 1950, 621, 666, 581, 547, 2491, 1480, 2623, 568, 2312, 1310, 2542, 267, 585, 1383, 267, 519, 2985, 1433, 2142, 17647, 676, 590, 777, 11169, 5652, 898, 6227, 2789, 18125, 540, 713, 1888, 267, 8151, 689, 23020, 3157, 547, 11976, 267, 1480, 4720, 267, 11031, 267, 1893, 267, 4984, 267, 543, 811, 267, 538, 606, 32687, 6073, 563, 2252, 3044, 2804, 3375, 26336, 971, 607, 661, 7473, 798, 711, 2491, 1483, 8996, 3375, 1818, 1932, 1134, 267, 1018, 8925, 616, 2139, 286, 6270, 6901, 543, 741, 3006, 9670, 543, 19433, 673, 2164, 723, 8197, 12592, 513, 1390, 1297, 540, 3173, 547, 2097, 909, 609, 4244, 6436, 543, 3631, 602, 8207, 519, 19433, 320, 563, 763, 1433, 634, 15331, 538, 519, 3778, 540, 13188, 676, 674, 517, 1555, 324, 543, 15182, 731, 568, 827, 519, 3140, 1909, 540, 6901, 538, 9297, 269, 1703, 568, 267, 585, 1383, 267, 513, 2898, 5569, 540, 3332, 602, 9607, 2152, 16109, 689, 519, 11875, 338, 6199, 19433, 269, 1809, 789, 616, 2484, 689, 1373, 13416, 538, 8804, 269, 1548, 267, 1310, 782, 267, 814, 8810, 547, 581, 3730, 538, 2259, 286, 3502, 1932, 19599, 267, 519, 2626, 6013, 538, 1239, 543, 3684, 1565, 6620, 563, 763, 4950, 267, 609, 922, 17542, 540, 3755, 267, 12958, 513, 14951, 7708, 557, 540, 1239, 10503, 1483, 8996, 1480, 2623, 267, 610, 1018, 568, 3006, 1572, 7000, 7375, 269, 634, 9949, 16066, 1935, 3144, 538, 713, 2796, 568, 24892, 1565, 269, 634, 6620, 2933, 616, 538, 2489, 3069, 268, 543, 2203, 6954, 282, 14726, 540, 8849, 5121, 616, 1419, 4294, 269, 4475, 267, 950, 3549, 2221, 3589, 519, 2623, 540, 741, 3755, 610, 5561, 267, 811, 1419, 982, 711, 513, 2203, 6954, 16066, 5690, 568, 18611, 563, 25565, 3375, 6436, 899, 661, 7473, 610, 835, 540, 922, 1967, 832, 3622, 798, 711, 1404, 513, 1909, 693, 782, 269, 901, 2306, 621, 10169, 9670, 602, 971, 6436, 1869, 267, 693, 519, 4098, 540, 519, 521, 267, 616, 513, 22294, 540, 1034 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5206, 513, 4484, 24152, 1010, 4555, 593, 519, 2339, 547, 519, 15769, 540, 519, 4760, 7186, 267, 543, 2366, 621, 950, 519, 6928, 546, 18088, 538, 25512, 599, 563, 306, 2210, 830, 2663, 267, 10548, 534, 729, 598, 13254, 2111, 547, 1397, 602, 519, 7990, 540, 519, 4262, 729, 519, 1267, 540, 519, 22502, 540, 7943, 676, 519, 1216, 6675, 269, 11635, 1227, 267, 621, 729, 4010, 519, 1482, 4661, 602, 14105, 548, 662, 1185, 2016, 1247, 7713, 519, 7990, 540, 519, 6607, 4534, 519, 4544, 729, 519, 1267, 540, 519, 22502, 540, 7943, 676, 519, 6675, 538, 519, 2011, 563, 1607, 2898, 12558, 1500, 1864, 18930, 539, 609, 519, 7613, 540, 1769, 22502, 269, 3571, 1895, 538, 918, 13083, 1092, 630, 6533, 2836, 12827, 3279, 264, 3323, 3257, 606, 3573, 3126, 540, 7403, 540, 1769, 16559, 5097, 676, 15559, 855, 849, 676, 930, 17571, 269, 1306, 513, 1267, 267, 10548, 534, 729, 2111, 547, 2491, 519, 4544, 7990, 4767, 538, 519, 4672, 540, 519, 1325, 18090, 22260, 563, 26046, 540, 1769, 16559, 676, 513, 5277, 568, 711, 2653, 267, 543, 1034, 540, 519, 2038, 960, 538, 2836, 12827, 3279, 729, 2944, 676, 519, 3308, 8343, 540, 7990, 2864, 982, 5730, 7403, 540, 519, 1769, 781, 15423, 563, 15368, 923, 540, 10548, 534, 781, 4603, 912, 763, 642, 14489, 1769, 540, 519, 3859, 8552, 568, 9678, 609, 513, 642, 14489, 6882, 543, 5293, 998, 519, 5277, 3732, 269, 4107, 540, 519, 1769, 6932, 689, 519, 5277, 3732, 568, 519, 1482, 7990, 607, 519, 10071, 642, 14489, 11237, 281, 519, 865, 10777, 14105, 548, 662, 16559, 1769, 563, 4913, 267, 10548, 534, 267, 2059, 609, 23794, 25421, 22974, 729, 2111, 547, 1397, 602, 930, 540, 519, 16559, 1769, 729, 513, 1114, 7990, 267, 799, 789, 1223, 20586, 676, 1210, 513, 3039, 6882, 5116, 1063, 519, 20626, 543, 519, 3732, 563, 19950, 539, 538, 4937, 11310, 543, 7351, 16457, 286, 8437, 1934, 547, 3251, 5483, 543, 917, 1018, 568, 8345, 1472, 519, 1158, 609, 938, 717, 14389, 269, 543, 7351, 16457, 3296, 269, 0, 763, 2063, 856, 14006, 540, 3864, 21535, 16117, 13151, 3518, 539, 547, 9111, 19108, 607, 519, 19305, 6532, 540, 590, 1046, 536, 1228, 513, 26997, 24214, 6202, 547, 3592, 476, 14596, 1296, 540, 2244, 26782, 4341, 563, 7712, 827, 476, 14444, 276, 267, 476, 2412, 9843, 540, 590, 1046, 781, 3484, 268, 578, 940, 3885, 723, 6659, 9204, 543, 4956, 593, 6927, 540, 1876, 267, 851, 540, 606, 7115, 6876, 13264, 1042, 609, 10906, 594, 1310, 519, 2296, 25868, 519, 6532, 689, 519, 3943, 269, 1809, 782, 602, 4957, 19108, 1310, 519, 1533, 781, 9777, 2209, 267, 1634, 607, 519, 12751, 20167, 553, 267, 20366, 676, 476, 1839, 547, 476, 1428, 547, 29343, 513, 3915, 547, 2569, 519, 2450, 540, 519, 23328, 563, 15152, 519, 15024, 267, 972, 786, 581, 476, 2764, 9777, 2209, 3079, 540, 476, 7367, 267, 476, 1691, 11221, 2244, 14935, 543, 476, 1691, 11221, 7264, 269, 634, 1689, 849, 1797, 602, 1022, 540, 519, 476, 7785, 7264, 540, 519, 10545, 4830, 1533, 538, 519, 3703, 1455, 17314, 666, 1631, 1796, 585, 9550, 563, 3719, 519, 9097, 2797, 936, 3873, 592, 267, 799, 729, 2877, 547, 3142, 519, 6532, 883, 1899, 609, 519, 3864, 15007, 593, 1480, 2924, 267, 729, 711, 24080, 20888, 269, 8307, 476, 13679, 6532, 619, 3576, 851, 538, 513, 3542, 602, 4280, 799, 2203, 540, 1689, 519, 2551, 7957, 10696, 543, 19108, 930, 941, 2907, 3395, 19911, 531, 11551, 585, 519, 676, 19079, 5736, 563, 257, 8722, 644, 16117, 568, 513, 1390, 1062, 543, 814, 5249, 1360, 1134, 585, 519, 6532, 2437, 1767, 835, 17055, 267, 26391, 3213, 577, 8735, 269, 834, 2005, 568, 606, 11999, 20014, 267, 513, 8273, 20014, 982, 649, 1185, 4941, 269, 634, 6532, 729, 15691, 547, 6963, 998, 4720, 267, 711, 4838, 4799, 9515, 3773, 602, 519, 3544, 1158, 8604, 547, 723, 513, 19451, 12705, 540, 590, 1046, 781, 32540, 1062, 267, 18468, 602, 519, 12751, 20167, 553, 12199, 936, 519, 2551, 899, 10120, 1119, 7847, 269, 834, 4322, 1004, 616, 711, 561, 3581, 540, 519, 812, 528, 267, 855, 6705, 267, 851, 540, 519, 2324, 2146, 2437, 1352, 1767, 269, 834, 763, 1966, 649, 723, 1185, 568, 609, 1004, 689, 3544, 9140, 519, 11396, 543, 16565, 519, 4567, 540, 12751, 20167, 553, 267, 855, 711, 1620, 519, 2631, 540, 2146, 543, 2631, 540, 1920, 4799, 306, 1046, 781, 2063, 598, 20896, 547, 9111, 3357, 538, 476, 4572, 271, 267, 950, 476, 1321, 1875, 268, 1633, 578, 940, 1244, 583, 625, 941, 12912, 267, 20366, 585, 676, 782, 6532, 619, 936, 476, 1240, 269, 6736, 519, 7805, 1847, 2509, 29678, 267, 519, 6532, 25601, 930, 8966, 4031, 269, 8307, 519, 2212, 540, 1533, 267, 519, 1530, 793, 16725, 267, 814, 519, 1318, 547, 1832, 25190, 976, 610, 606, 796, 4944, 26359, 4775, 2915, 563, 763, 6532, 568, 4092, 476, 736, 5195, 1055, 519, 5032, 540, 5333, 543, 568, 851, 540, 519, 3703, 13862, 21341, 267, 2495, 602, 4352, 621, 568, 20248, 11262, 676, 519, 10348, 621, 568, 711, 851, 540, 519, 5177, 269, 5082, 687, 896, 519, 1007, 1062, 910, 799, 1590, 581, 3090, 1227, 9516, 676, 519, 10348, 910, 616, 4397, 547, 581, 4371, 538, 5412, 563, 306, 1046, 267, 799, 568, 1340, 539, 585, 922, 10565, 23795, 543, 9543, 10605, 540, 1272, 267, 568, 1614, 5195, 2647, 543, 476, 272, 269, 276, 5195, 1279, 269, 898, 814, 606, 5993, 6578, 540, 827, 11278, 7785, 267, 1822, 3368, 540, 799, 2501, 689, 1463, 21259, 543, 3368, 540, 799, 2501, 689, 13941, 10997, 593, 15805, 16996, 563, 2005, 19646, 602, 972, 616, 1100, 6517, 267, 9897, 610, 24782, 593, 519, 6532, 543, 602, 519, 1152, 5605, 592, 766, 568, 513, 10736, 8778, 528, 269, 1809, 519, 946, 540, 8778, 832, 568, 849, 14553, 14931, 267, 609, 1152, 835, 18213, 829, 6174, 4847, 910, 4849, 909, 543, 1524, 519, 476, 3445, 31475, 516, 30041, 4498, 13118, 10830, 563, 8601, 519, 22471, 559, 10605, 540, 1272, 593, 519, 6532, 267, 1919, 723, 711, 2141, 1044, 865, 12560, 269, 1306, 1134, 607, 1373, 2695, 13741, 1194, 936, 676, 519, 2296, 543, 519, 3943, 267, 590, 1046, 729, 30635, 3042, 676, 519, 4563, 12280, 543, 729, 1065, 3176, 538, 519, 2038, 476, 1626, 628, 2540, 547, 581, 513, 1747, 834, 1993, 31503, 267, 555, 773, 1407, 267, 32531, 1343, 267, 15294, 18996, 543, 18272, 1231, 2668, 898, 729, 849, 13026, 676, 4436, 4229, 585, 5176, 2947, 1296, 1282, 519, 2034, 1158, 2112, 563, 306, 1046, 781, 1034, 4583, 7264, 616, 4440, 519, 4446, 743, 599, 14552, 267, 945, 1378, 519, 1855, 25393, 1895, 267, 543, 2661, 538, 513, 29384, 31795, 14500, 593, 519, 568, 548, 540, 6601, 638, 537, 269, 1358, 616, 6956, 547, 723, 1044, 20714, 539, 676, 519, 6532, 781, 1884, 1172, 730, 676, 331, 9155, 543, 676, 519, 1530, 793, 16725, 540, 590, 1046, 781, 30671, 547, 1450, 835, 540, 741, 20766, 1022, 18472, 2924, 563, 8310, 5239, 267, 789, 9783, 513, 3948, 799, 1224, 281, 834, 306, 1046, 1058, 581, 18170, 676, 513, 11180, 1184, 269, 1496, 2171, 1616, 316, 513, 14618, 28025, 11221, 676, 922, 1004, 543, 711, 513, 14618, 4171, 5354, 568, 12912, 676, 606, 15110, 32540, 18459, 998, 513, 8569, 540, 2724, 547, 1864, 1701, 0, 12441, 596, 917, 286, 1411, 666, 1631, 1433, 513, 2123, 2213, 3381, 5048, 689, 707, 19463, 3197, 540, 707, 6068, 7260, 15329, 21442, 256, 5901, 2542, 547, 917, 811, 827, 15329, 21442, 5641, 267, 15329, 21442, 744, 22721, 267, 4585, 15329, 21442, 2228, 267, 15329, 21442, 17749, 267, 15329, 21442, 10311, 543, 811, 563, 288, 3423, 21442, 568, 2576, 945, 4249, 519, 30413, 269, 634, 10545, 543, 5207, 8486, 3481, 5569, 6293, 4749, 6964, 538, 7262, 2575, 568, 519, 30413, 563, 299, 14607, 644, 328, 20289, 541, 16120, 267, 700, 269, 4427, 1090, 534, 3554, 267, 918, 8403, 10548, 333, 987, 267, 631, 269, 590, 269, 717, 29914, 752, 16194, 22974, 267, 681, 698, 7236, 1744, 1678, 541, 267, 570, 269, 715, 269, 25421, 22974, 267, 3092, 269, 616, 3127, 779, 1655, 30413, 5716, 563, 306, 663, 324, 788, 774, 752, 584, 568, 606, 4095, 22459, 543, 570, 3633, 343, 10584, 269, 8422, 3312, 1568, 676, 9995, 324, 788, 774, 752, 584, 723, 1044, 3812, 547, 4266, 269, 2871, 514, 1145, 2622, 19475, 616, 4371, 676, 1864, 607, 646, 568, 4657, 11994, 540, 519, 30413, 543, 875, 621, 568, 3989, 607, 606, 6293, 269, 9995, 324, 788, 774, 752, 584, 4607, 519, 26527, 30773, 717, 879, 9545, 13815, 543, 729, 513, 4759, 540, 519, 4013, 21139, 585, 519, 2098, 7417, 15223, 1234, 32364, 8575, 700, 559, 932, 10102, 563, 1103, 519, 476, 14991, 271, 338, 267, 519, 2262, 834, 24825, 514, 257, 729, 1101, 1031, 538, 2296, 269, 634, 7969, 3423, 3626, 267, 513, 3423, 320, 781, 11527, 5737, 267, 568, 1141, 519, 2165, 834, 24825, 514, 257, 24865, 269, 634, 2262, 834, 24825, 320, 257, 729, 1101, 1031, 538, 476, 9692, 278, 547, 3277, 547, 513, 5569, 539, 6293, 267, 610, 834, 1084, 528, 30413, 4799, 309, 2723, 514, 1235, 666, 1404, 519, 30413, 1247, 9361, 1524, 610, 7555, 269, 3752, 334, 1235, 3335, 1685, 1247, 7555, 909, 267, 2436, 789, 616, 7900, 21088, 267, 609, 513, 13691, 267, 610, 609, 606, 32316, 563, 2691, 519, 2451, 11804, 7575, 689, 513, 1164, 2990, 547, 513, 1970, 835, 267, 519, 30413, 1590, 581, 4371, 11931, 2614, 676, 519, 10265, 543, 13105, 547, 798, 865, 269, 634, 30413, 781, 20801, 16889, 593, 519, 2427, 540, 519, 3723, 5849, 6617, 538, 519, 4095, 2990, 269, 0, 3725, 8010, 532, 4826, 585, 774, 1009, 344, 19864, 454, 1103, 2487, 1296, 267, 7297, 728, 19150, 723, 1831, 3833, 7678, 344, 538, 19864, 269, 3509, 3442, 547, 6108, 741, 16837, 942, 21363, 593, 519, 8492, 540, 8933, 543, 12647, 269, 901, 7678, 666, 7361, 581, 11911, 547, 8733, 1216, 25579, 7321, 267, 1141, 556, 13094, 1216, 568, 606, 3742, 16045, 269, 1234, 13094, 1216, 4016, 547, 5701, 16894, 610, 24467, 602, 666, 581, 1031, 1310, 5870, 1978, 2298, 4441, 269, 898, 666, 581, 1031, 547, 25579, 880, 8933, 543, 12647, 267, 7520, 4853, 2504, 267, 1216, 8768, 15135, 267, 23574, 30079, 267, 543, 1454, 811, 563, 1103, 476, 1220, 272, 267, 19864, 9783, 519, 15788, 20895, 540, 29828, 720, 9615, 543, 1234, 13094, 8862, 831, 1234, 2224, 538, 12124, 19791, 267, 18413, 1271, 24536, 585, 13345, 540, 556, 13094, 1216, 269, 9737, 476, 1220, 272, 543, 476, 1001, 272, 267, 1896, 556, 13094, 21226, 2371, 941, 1967, 1947, 3710, 538, 25708, 2127, 1519, 29305, 515, 267, 2142, 1460, 26820, 515, 267, 543, 674, 836, 345, 16852, 836, 269, 3245, 476, 1001, 274, 547, 476, 1001, 280, 267, 1614, 15654, 1614, 4458, 2962, 4566, 585, 21137, 2126, 941, 9783, 267, 3648, 5355, 2877, 4390, 563, 9213, 267, 972, 616, 476, 2918, 18175, 24612, 2371, 585, 21137, 543, 476, 6924, 9241, 32472, 2371, 8156, 556, 13094, 1216, 538, 19864, 269, 634, 3232, 24913, 338, 540, 519, 2749, 779, 1657, 8397, 21137, 2126, 2371, 2799, 547, 5176, 476, 277, 269, 6434, 2929, 12945, 7397, 538, 476, 1708, 271, 267, 13745, 609, 513, 2126, 2557, 8757, 476, 4817, 2600, 269, 13575, 267, 4683, 2127, 543, 10034, 4721, 723, 6913, 2407, 4015, 543, 2126, 540, 21137, 7258, 20027, 12871, 540, 31993, 269, 1306, 513, 7123, 543, 6325, 968, 16149, 776, 1216, 2707, 2223, 19864, 779, 476, 272, 269, 273, 5479, 12945, 7397, 540, 556, 13094, 1216, 2272, 585, 827, 513, 3791, 540, 519, 2749, 779, 2949, 1216, 2200, 12422, 267, 20823, 1101, 18487, 563, 2026, 519, 1101, 968, 706, 531, 16727, 2749, 2223, 19864, 20979, 6165, 540, 556, 13094, 1216, 538, 3039, 532, 8916, 543, 16003, 1166, 5241, 585, 16727, 28503, 1282, 19864, 476, 1220, 279, 269, 898, 2968, 513, 22082, 540, 10128, 556, 13094, 1216, 883, 30120, 543, 10664, 12555, 538, 519, 3844, 3296, 540, 519, 16727, 5682, 267, 3379, 547, 3105, 3984, 4872, 269, 634, 15743, 11057, 1216, 1062, 540, 519, 16727, 5682, 6591, 3833, 8560, 607, 513, 968, 4248, 14289, 5251, 2223, 7175, 1004, 547, 882, 880, 4205, 609, 1216, 8015, 8733, 22471, 1006, 6456, 3297, 519, 554, 755, 548, 543, 11861, 548, 540, 519, 2749, 269, 1717, 267, 1082, 1810, 1406, 8275, 602, 3473, 531, 18742, 1765, 1478, 326, 3497, 18784 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 347, 8461, 296, 630, 1001, 271, 10534, 476, 271, 269, 4281, 277, 454, 14683, 5788, 476, 8618, 560, 454, 347, 10501, 6275, 1475, 291, 4314, 737, 337, 821, 630, 667, 298, 298, 10245, 347, 11742, 7997, 1475, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 3725, 4146, 5525, 257, 607, 851, 540, 834, 32628, 1315, 4168, 5783, 1315, 3778, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 4495, 2390, 513, 942, 267, 972, 729, 513, 2370, 670, 332, 784, 8004, 3957, 2904, 269, 2701, 5030, 609, 1200, 1920, 538, 513, 18241, 2777, 538, 519, 9087, 1054, 1571, 540, 519, 23683, 21600, 15142, 538, 27040, 4993, 269, 3509, 1296, 3516, 267, 1200, 11937, 1185, 2097, 547, 713, 4190, 1747, 607, 15076, 267, 3168, 585, 513, 1007, 1753, 1141, 789, 1223, 581, 2922, 543, 6126, 780, 3080, 13566, 1554, 267, 2904, 4280, 1200, 3158, 267, 834, 1432, 1281, 621, 1611, 602, 649, 616, 670, 332, 784, 15076, 8119, 4173, 3993, 20493, 543, 6045, 267, 834, 18455, 513, 21345, 1797, 602, 938, 1920, 3357, 689, 1776, 2197, 1572, 5487, 657, 267, 2484, 2476, 538, 14913, 5607, 269, 1284, 2451, 938, 2025, 1753, 1317, 540, 513, 2462, 2112, 543, 6743, 585, 513, 12560, 1747, 547, 2661, 269, 2334, 781, 875, 649, 1336, 938, 1007, 1753, 1934, 538, 4993, 3010, 9802, 1287, 9289, 267, 834, 3963, 1705, 824, 1004, 899, 721, 2097, 1934, 1932, 8119, 16474, 12943, 267, 834, 6624, 1114, 2516, 540, 1306, 2103, 3357, 547, 4993, 1279, 3516, 267, 1519, 4457, 3885, 945, 3710, 1507, 2950, 538, 519, 24781, 269, 1358, 5249, 2182, 8105, 519, 2244, 267, 1175, 899, 707, 6264, 11985, 1281, 1631, 3010, 10501, 1190, 267, 2904, 4280, 267, 834, 1692, 798, 1004, 960, 1927, 593, 11396, 8119, 16474, 1767, 267, 834, 293, 7056, 625, 948, 1142, 824, 676, 4687, 2645, 543, 5452, 269, 26478, 2030, 7031, 899, 5388, 543, 5613, 267, 1491, 1416, 540, 873, 267, 543, 7556, 950, 789, 2811, 4712, 269, 3973, 267, 3025, 666, 2972, 8949, 1426, 6738, 1318, 1934, 15323, 2026, 789, 15336, 998, 741, 4677, 267, 2904, 4718, 1585, 2371, 543, 4280, 267, 834, 1432, 616, 1346, 1919, 3395, 936, 972, 8119, 16474, 14452, 267, 834, 17829, 616, 14274, 256, 1411, 666, 4584, 873, 950, 789, 2490, 2699, 543, 30861, 269, 1656, 1294, 1346, 7381, 3039, 26106, 802, 286, 8409, 616, 8970, 2371, 269, 769, 513, 1906, 3275, 267, 649, 786, 5531, 6653, 737, 1716, 1564, 547, 3548, 3010, 306, 19488, 267, 2904, 8068, 1945, 8966, 269, 834, 16100, 267, 16474, 256, 1548, 781, 602, 2679, 7404, 8119, 1352, 4280, 31113, 269, 16474, 561, 13774, 1117, 543, 1767, 267, 834, 6546, 781, 938, 2199, 4558, 267, 1141, 12543, 6133, 610, 4123, 5370, 789, 1500, 2933, 269, 6884, 267, 649, 3142, 5798, 689, 938, 17944, 610, 29586, 13492, 547, 23396, 585, 13000, 610, 9162, 3010, 9802, 2219, 585, 513, 4090, 543, 1287, 4280, 267, 834, 6701, 782, 938, 2828, 849, 670, 332, 784, 610, 7489, 8119, 16474, 695, 809, 1200, 2212, 543, 15527, 267, 834, 5591, 267, 15210, 269, 3776, 2146, 568, 2407, 540, 3309, 1004, 1107, 670, 332, 29330, 267, 4457, 267, 5545, 267, 7111, 4892, 267, 5165, 15092, 267, 543, 1082, 1866, 269, 15526, 8843, 741, 9821, 267, 5389, 267, 543, 2984, 865, 649, 666, 1451, 689, 835, 1776, 3010, 7661, 267, 2904, 4941, 547, 917, 1946, 741, 4884, 7012, 1405, 811, 4583, 899, 1715, 3840, 610, 5842, 12770, 269, 2060, 513, 3636, 12837, 267, 16474, 26866, 1229, 267, 834, 5978, 2027, 4884, 1522, 711, 581, 607, 2462, 607, 1346, 4025, 267, 855, 621, 814, 1945, 1256, 1732, 281, 2648, 267, 9322, 267, 543, 10343, 1851, 922, 1004, 269, 1924, 3314, 267, 1100, 2339, 1141, 596, 979, 610, 1018, 2591, 596, 3068, 267, 2141, 10027, 880, 707, 5072, 543, 9784, 1169, 2189, 1268, 596, 2743, 2059, 519, 1259, 3010, 4517, 689, 602, 1554, 4464, 267, 2904, 5433, 10583, 547, 581, 851, 540, 519, 3638, 13795, 540, 4529, 2713, 32069, 538, 519, 9087, 1054, 1571, 540, 519, 23683, 21600, 15142, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 300, 2946, 10177, 5060, 267, 12253, 589, 269, 476, 1708, 275, 476, 272, 268, 275, 4817, 276, 268, 15686, 274, 268, 277, 476, 21327, 3817, 834, 1607, 1433, 5205, 7489, 12677, 1686, 538, 519, 9087, 1054, 1571, 540, 519, 23683, 21600, 13738, 16186, 538, 27040, 4993, 269, 1879, 835, 14659, 540, 6803, 4457, 2950, 2429, 3345, 3013, 2221, 267, 835, 949, 2015, 4683, 6753, 971, 607, 1715, 3840, 267, 5842, 12770, 267, 11968, 13353, 267, 17842, 267, 543, 26551, 269, 2290, 1131, 711, 3921, 27274, 1589, 540, 4457, 2950, 538, 6552, 6917, 2127, 269, 1809, 1282, 519, 3735, 476, 5197, 271, 338, 543, 2038, 476, 5002, 271, 338, 2073, 1082, 1507, 10034, 543, 4872, 2429, 7187, 4993, 1185, 741, 1378, 1134, 28004, 4457, 2950, 269, 3267, 1607, 1433, 3091, 519, 5467, 606, 4316, 547, 1451, 827, 519, 1082, 1507, 6917, 25590, 520, 12495, 602, 7139, 11717, 730, 2066, 7187, 4993, 538, 519, 3735, 476, 5197, 271, 338, 543, 2038, 476, 5002, 271, 338, 607, 1134, 519, 1101, 5545, 11175, 2282, 2051, 5448, 538, 476, 5908, 280, 269, 1703, 941, 693, 2547, 13977, 540, 891, 6917, 4457, 17260, 282, 594, 723, 6074, 547, 2328, 827, 4557, 540, 891, 607, 11347, 5439, 540, 741, 1390, 3099, 543, 23543, 1701, 910, 5228, 634, 8191, 6231, 2237, 513, 1453, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 295, 332, 784, 25083, 324, 15232, 257, 607, 851, 540, 834, 24719, 13316, 1315, 8836, 1299, 23532, 5525, 1315, 1977, 1315, 7489, 1977, 1299, 7414, 29474, 5525, 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, 8080, 547, 938, 21777, 3184, 782, 827, 1433, 8039, 256, 5620, 596, 2479, 1224, 513, 2731, 1390, 1433, 543, 4941, 547, 2995, 707, 2828, 827, 621, 286, 2107, 6148, 596, 4312, 1224, 513, 1433, 602, 7012, 1405, 865, 1434, 543, 4769, 1405, 1616, 1866, 547, 3653, 741, 942, 593, 621, 269, 2334, 781, 1018, 1433, 2689, 619, 798, 256, 1358, 1224, 2835, 543, 1287, 2671, 741, 4555, 609, 824, 1004, 945, 2648, 2542, 780, 1103, 519, 1158, 540, 2835, 267, 972, 616, 1079, 1134, 8153, 7270, 1572, 21512, 3883, 17352, 543, 631, 5255, 320, 7734, 269, 1452, 4609, 948, 1004, 6430, 799, 2835, 789, 1522, 899, 547, 1224, 1985, 1759, 593, 519, 8039, 2854, 676, 4966, 269, 21298, 267, 891, 1079, 2442, 7270, 8678, 1927, 547, 1711, 835, 2462, 3135, 4904, 609, 1256, 811, 8369, 543, 7840, 269, 901, 1797, 602, 972, 786, 1631, 581, 12601, 2894, 27749, 5363, 5796, 950, 7446, 707, 1985, 7045, 1063, 519, 3817, 2439, 5331, 2469, 883, 606, 4672, 8645, 6300, 1141, 789, 6133, 7366, 540, 10366, 269, 1215, 1131, 596, 917, 799, 835, 547, 3442, 952, 1100, 835, 1185, 2479, 13820, 539, 873, 1354, 286, 3767, 4952, 2348, 1079, 2516, 540, 1004, 945, 723, 6836, 1169, 2582, 8137, 543, 666, 2285, 596, 3877, 827, 1142, 835, 910, 2436, 621, 781, 1932, 6653, 267, 1175, 1318, 267, 610, 3762, 513, 16168, 1310, 339, 4292, 269, 11109, 1346, 3063, 6492, 512, 22246, 2306, 16116, 856, 707, 3501, 1085, 17274, 1454, 4443, 256, 2334, 781, 4010, 1018, 4523, 950, 649, 1205, 6266, 540, 1114, 5380, 593, 2835, 998, 1585, 8039, 780, 4131, 803, 6338, 596, 547, 930, 1455, 2010, 540, 2835, 596, 949, 1265, 1247, 19855, 713, 5863, 1007, 3896, 1384, 272, 269, 11470, 281, 1452, 2984, 2097, 2786, 689, 519, 2278, 781, 9345, 269, 6056, 9059, 267, 9814, 267, 27568, 267, 18912, 8941, 267, 610, 4376, 3116, 596, 666, 5326, 909, 256, 589, 5929, 1383, 568, 834, 13142, 19714, 781, 5680, 2437, 1141, 6158, 2831, 543, 17052, 4001, 721, 3407, 4245, 563, 273, 269, 6348, 6363, 2109, 281, 9521, 14070, 2984, 267, 891, 2835, 2671, 1483, 2621, 267, 5013, 267, 610, 2833, 269, 4437, 13132, 630, 560, 1559, 827, 2576, 781, 1272, 1070, 1686, 2835, 267, 2257, 10274, 267, 543, 1582, 25298, 2200, 2887, 896, 713, 7121, 269, 1280, 3236, 267, 834, 5353, 2644, 540, 7827, 281, 15651, 926, 781, 717, 3424, 547, 519, 2622, 257, 8843, 519, 3020, 1650, 540, 17587, 13458, 15356, 16771, 15651, 926, 8575, 987, 2967, 543, 1200, 2825, 17933, 563, 274, 269, 23620, 281, 2052, 596, 7058, 1018, 2186, 540, 2835, 4866, 1934, 286, 962, 788, 267, 2984, 10704, 1472, 3347, 543, 2648, 256, 3245, 4207, 5468, 547, 3140, 2053, 267, 891, 9089, 7001, 12271, 10876, 269, 834, 7468, 728, 543, 2776, 9080, 823, 257, 676, 13191, 3243, 523, 3788, 513, 11537, 11509, 3209, 2094, 476, 8687, 274, 563, 275, 269, 28202, 14525, 1299, 12246, 335, 1619, 281, 1403, 596, 2972, 4743, 593, 6316, 1247, 7432, 3817, 267, 2638, 856, 713, 9135, 256, 27405, 625, 267, 22342, 9035, 267, 543, 16897, 2984, 1832, 3988, 554, 10541, 2394, 519, 1360, 1439, 269, 2290, 4583, 1383, 568, 808, 14389, 18007, 1782, 781, 834, 295, 14019, 25260, 543, 519, 11096, 9372, 781, 12942, 2437, 2407, 540, 11580, 7996, 547, 581, 7000, 563, 276, 269, 8479, 16989, 281, 1306, 519, 2012, 5267, 267, 891, 2835, 3077, 18295, 9458, 855, 1419, 4482, 4079, 1932, 256, 28527, 6361, 21943, 6386, 267, 29711, 1014, 7239, 267, 543, 11541, 3197, 6445, 713, 3309, 3296, 269, 30554, 22828, 19811, 262, 834, 763, 12017, 518, 10632, 257, 959, 559, 9609, 2968, 606, 8216, 5734, 1851, 12322, 543, 4079, 7567, 780, 3086, 602, 596, 917, 811, 827, 519, 5686, 540, 2835, 2139, 1577, 781, 1589, 1394, 547, 938, 4672, 8645, 14165, 269, 2060, 865, 1082, 8949, 3681, 267, 875, 786, 9358, 4584, 707, 1985, 5172, 1224, 286, 9320, 596, 3513, 1376, 676, 3843, 1945, 11207, 1007, 610, 6529, 609, 513, 5432, 8137, 269, 23657, 1259, 267, 11439, 609, 4030, 689, 4274, 1433, 2689, 619, 267, 4466, 707, 3501, 6474, 786, 581, 7466, 607, 8799, 256, 8414, 7335, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 20670, 3883, 17352, 267, 513, 3056, 5639, 538, 519, 1158, 540, 1433, 31886, 543, 8039, 267, 814, 9307, 922, 11601, 540, 631, 5255, 629, 23697, 2593, 269, 5637, 5867, 267, 12021, 607, 4830, 1379, 17346, 538, 519, 1433, 2872, 267, 723, 8032, 5467, 779, 5079, 267, 1818, 513, 8101, 1764, 593, 519, 5339, 1158, 563, 20670, 3883, 17352, 543, 631, 5255, 320, 20486, 2593, 723, 7463, 538, 3246, 11967, 8039, 593, 513, 3376, 8552, 540, 1433, 11964, 269, 4256, 796, 2305, 19752, 513, 26399, 540, 538, 3829, 2872, 1702, 543, 606, 4230, 1393, 1620, 540, 9687, 3988, 685, 7375, 267, 2870, 513, 1007, 6205, 585, 5356, 17170, 1433, 1344, 585, 3988, 5001, 563, 20670, 3883, 17352, 814, 513, 1279, 29280, 10639, 585, 922, 3102, 543, 9237, 8039, 540, 5708, 2835, 543, 1875, 27395, 2835, 269, 898, 814, 1044, 513, 979, 3562, 2707, 585, 6634, 540, 3988, 5461, 538, 3695, 1007, 4589, 543, 1433, 11964, 971, 607, 15832, 267, 26497, 619, 267, 1762, 2937, 267, 543, 1875, 27395, 563, 9349, 2637, 637, 595, 2642, 676, 519, 1007, 21512, 3883, 17352, 13505, 2991, 519, 21733, 9974, 454, 763, 1007, 543, 9450, 681, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1934, 8094, 12441, 10271, 9772, 14914, 689, 533, 698, 753, 286, 9894, 789, 4168, 1047, 606, 4540, 25384, 12680, 13037, 543, 3082, 621, 547, 8661, 2441, 779, 24446, 286, 3143, 269, 1703, 568, 4986, 25384, 827, 519, 12557, 540, 519, 11812, 540, 14914, 269, 898, 779, 782, 1759, 593, 519, 6196, 11620, 799, 5036, 519, 2053, 585, 30687, 267, 543, 972, 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 ]
[ 0, 763, 1377, 540, 3059, 1436, 602, 2413, 2486, 814, 568, 1390, 269, 8729, 547, 519, 1646, 540, 1344, 2029, 267, 1004, 666, 946, 971, 3457, 607, 5904, 543, 16389, 543, 3617, 3301, 269, 4653, 267, 1256, 513, 2834, 3593, 814, 19421, 540, 5985, 3156, 593, 1010, 16335, 269, 1358, 2285, 1864, 4313, 538, 4948, 1272, 543, 11126, 3318, 2238, 269, 4935, 267, 519, 1272, 540, 2413, 812, 1131, 581, 7168, 9157, 1510, 5985, 3156, 563, 2467, 616, 1082, 2010, 540, 5985, 3156, 269, 3962, 540, 873, 814, 513, 1114, 3483, 267, 971, 607, 14379, 609, 9164, 610, 2828, 267, 4974, 693, 513, 1153, 610, 20576, 543, 8876, 856, 960, 4247, 269, 769, 713, 2376, 267, 649, 786, 1265, 856, 827, 519, 2010, 540, 5985, 3156, 596, 949, 946, 543, 741, 3483, 563, 300, 9394, 3498, 2010, 543, 6688, 454, 5575, 540, 782, 267, 649, 1131, 899, 547, 12172, 519, 2165, 5985, 3156, 3294, 269, 4653, 267, 602, 568, 513, 7463, 1982, 585, 16389, 610, 14342, 602, 2337, 873, 547, 1599, 593, 513, 1978, 5665, 1062, 267, 971, 607, 15692, 267, 25515, 610, 8837, 25439, 269, 1284, 18973, 596, 547, 10646, 1063, 5985, 3498, 543, 5985, 3896, 3898, 269, 1306, 513, 4341, 267, 3156, 616, 1454, 811, 3608, 543, 9867, 982, 1022, 3135, 269, 901, 5673, 593, 519, 1249, 602, 789, 1683, 782, 3255, 585, 1569, 547, 519, 5985, 3926, 563, 6624, 2413, 5985, 3156, 723, 1044, 2919, 585, 5769, 17774, 532, 269, 1358, 948, 3755, 3533, 4444, 2472, 543, 2533, 2228, 1510, 9683, 15945, 543, 824, 2798, 269, 1717, 267, 972, 568, 513, 7168, 11684, 8760, 540, 5985, 3156, 269, 1284, 16436, 596, 547, 1491, 513, 1413, 693, 519, 1034, 2442, 3283, 912, 268, 12474, 3156, 616, 519, 1034, 1455, 1851, 2834, 16335, 3755, 269, 2334, 1826, 540, 5985, 813, 2337, 1004, 6432, 547, 2575, 267, 4585, 9413, 267, 4688, 543, 2445, 2592, 267, 543, 1224, 3059, 2835, 269, 769, 1840, 267, 602, 568, 513, 7168, 2462, 7121, 540, 5985, 3156, 269, 1703, 616, 1896, 8536, 3292, 538, 713, 3296, 563, 268, 6355, 3156, 269, 901, 1826, 540, 3301, 568, 5363, 585, 3755, 945, 960, 538, 2359, 7158, 543, 1544, 547, 11126, 741, 5520, 685, 960, 269, 4746, 267, 621, 568, 3501, 585, 5604, 4600, 945, 5326, 540, 1818, 741, 6296, 960, 811, 6899, 269, 6355, 3156, 616, 835, 540, 519, 6688, 540, 5985, 8924, 267, 799, 568, 513, 1360, 1164, 10862, 585, 9520, 538, 519, 8668, 2361, 543, 1158, 540, 2029, 563, 268, 16353, 3756, 269, 5272, 1554, 267, 9367, 1711, 1007, 3785, 543, 5305, 23937, 547, 519, 3756, 789, 5305, 269, 634, 1297, 540, 5985, 3381, 3014, 3755, 4679, 1169, 1554, 269, 901, 568, 519, 2601, 1946, 2221, 267, 1082, 3755, 4782, 873, 547, 3044, 2780, 3785, 269, 1879, 3755, 1404, 741, 5172, 3785, 593, 741, 16389, 267, 789, 666, 7340, 827, 519, 13943, 4087, 610, 942, 269, 1261, 2115, 1152, 513, 7123, 4950, 4276, 543, 513, 9901, 16335, 6007, 563, 268, 3204, 8973, 519, 1114, 2010, 540, 5985, 3156, 267, 596, 1058, 1451, 827, 1514, 5121, 543, 3190, 12310, 269, 4653, 267, 972, 568, 1100, 16335, 1510, 873, 269, 1280, 1383, 267, 3755, 666, 10004, 609, 741, 2828, 543, 9164, 267, 543, 3605, 3377, 543, 10124, 693, 960, 998, 873, 563, 9213, 267, 5985, 3156, 948, 8723, 3755, 547, 14458, 741, 13467, 269, 769, 1840, 267, 9946, 666, 1205, 930, 2640, 689, 519, 6388, 540, 7463, 3301, 269, 2060, 519, 948, 540, 5985, 3301, 267, 4648, 2196, 30572, 3785, 593, 519, 5769, 269, 4746, 267, 789, 3406, 585, 1007, 5561, 585, 519, 13055, 998, 873, 269, 1703, 616, 1082, 2010, 540, 5985, 8924, 267, 865, 1169, 3593, 666, 1265, 1010, 610, 1200, 3501, 1982, 602, 786, 1118, 1022, 13567, 4277, 543, 6899, 269, 0, 2691, 12751, 3627, 17664, 8120, 1753, 630, 5228, 6115, 667, 269, 595, 4700, 538, 476, 8146, 273, 267, 646, 4362, 513, 812, 646, 1705, 711, 917, 693, 1010, 2777, 269, 5617, 773, 1324, 1864, 606, 7164, 9441, 267, 17664, 5143, 1864, 547, 3049, 1010, 7504, 543, 2322, 1864, 2476, 585, 519, 3781, 269, 5502, 267, 519, 812, 4553, 1864, 547, 519, 7450, 543, 4857, 5128, 607, 15537, 25020, 269, 1261, 5143, 17664, 602, 646, 729, 1631, 519, 1753, 26782, 543, 1185, 519, 4574, 547, 6961, 621, 563, 4462, 6674, 782, 2984, 454, 18794, 938, 17665, 27505, 619, 4793, 1258, 7991, 2336, 28874, 17665, 27505, 619, 609, 707, 5213, 566, 267, 1022, 2179, 2337, 2336, 20524, 267, 9523, 543, 948, 721, 3465, 2925, 938, 4503, 543, 16618, 2984, 563, 4462, 6674, 782, 17665, 27505, 619, 2984, 454, 2704, 16342, 27505, 619, 2818, 1294, 5215, 540, 2984, 267, 22808, 543, 19911, 531, 11551, 3688, 899, 713, 4948, 563, 18744, 4793, 6425, 666, 6085, 610, 10004, 563, 18794, 938, 17665, 27505, 619, 4793, 1258, 7991, 256, 20371, 8450, 875, 547, 28161, 606, 17665, 27505, 619, 4793, 1258, 454, 305, 1601, 685, 2603, 729, 4465, 538, 5239, 540, 476, 8146, 273, 676, 15537, 25020, 540, 674, 599, 8291, 6019, 267, 945, 6976, 1269, 1240, 585, 513, 4960, 547, 1205, 1010, 2012, 883, 519, 5373, 269, 17664, 729, 7006, 1601, 612, 539, 540, 1010, 3959, 538, 476, 8146, 276, 269, 2755, 17664, 729, 538, 6115, 27410, 519, 14097, 267, 8069, 540, 11908, 5795, 25020, 15896, 540, 1010, 1753, 543, 5828, 856, 1010, 1920, 269, 634, 1985, 1554, 267, 17664, 1336, 1010, 7385, 543, 1920, 538, 519, 1753, 540, 1920, 2818, 269, 476, 272, 1261, 1287, 6410, 547, 513, 835, 268, 3336, 2845, 19970, 5087, 540, 4414, 22110, 538, 5062, 300, 4883, 6019, 267, 17906, 563, 11990, 17664, 729, 17814, 676, 3627, 5500, 22418, 538, 606, 12558, 540, 715, 4953, 7591, 5264, 13886, 968, 9199, 559, 540, 570, 8986, 892, 538, 476, 3192, 272, 563, 3201, 5723, 24717, 29332, 5588, 11266, 2562, 4811, 31203, 1700, 930, 3606, 2984, 454, 268, 4643, 585, 4095, 31203, 29035, 2060, 5518, 7338, 16962, 454, 268, 2271, 3419, 826, 543, 12653, 1457, 2991, 15521, 2311, 4095, 25951, 454, 268, 5518, 17566, 1656, 17135, 769, 589, 5776, 11325, 454, 268, 7108, 15486, 5890, 13955, 2986, 634, 4258, 6593, 525, 454, 268, 31180, 12751, 17664, 645, 1815, 877, 13067, 6804, 0, 3725, 23728, 1944, 4578, 28298, 1133, 557, 4979, 519, 5295, 540, 25494, 6215, 760, 681, 902, 543, 623, 4545, 820, 6215, 760, 681, 902, 2421, 15382, 3008, 22048, 18248, 3455, 454, 1103, 2221, 781, 10562, 1158, 267, 519, 3747, 585, 15774, 1239, 6771, 538, 15914, 1949, 814, 1831, 5051, 2565, 2066, 1585, 6080, 269, 1677, 2232, 713, 4161, 267, 8030, 723, 2919, 1079, 5499, 3435, 281, 25494, 17277, 14034, 543, 3443, 322, 820, 17277, 14034, 269, 1452, 7415, 3457, 1404, 513, 2629, 1909, 538, 4180, 796, 5793, 32152, 1239, 14479, 538, 15914, 3156, 269, 769, 713, 2376, 267, 649, 786, 2263, 519, 29782, 267, 3156, 267, 543, 5383, 540, 25494, 17277, 14034, 543, 3443, 322, 820, 17277, 14034, 267, 10223, 741, 4644, 538, 2413, 6080, 563, 8139, 25494, 6215, 760, 681, 902, 454, 292, 22313, 17277, 14034, 267, 849, 1634, 607, 27414, 1239, 28339, 267, 616, 7463, 3457, 2966, 547, 2226, 6024, 1239, 14479, 1063, 19335, 543, 15914, 3334, 269, 1358, 5512, 519, 4483, 540, 1164, 18286, 25494, 6786, 267, 1379, 267, 543, 824, 2792, 10873, 2066, 15914, 17103, 269, 25494, 17277, 14034, 616, 3226, 3407, 538, 3156, 602, 2154, 1483, 6066, 1239, 6771, 267, 1852, 6786, 267, 610, 1164, 1532, 663, 12296, 2792, 563, 8722, 2137, 543, 22020, 540, 25494, 6215, 760, 681, 902, 454, 292, 22313, 17277, 8258, 6451, 1896, 1883, 3334, 602, 960, 1927, 547, 2327, 15774, 1239, 6771, 269, 1452, 3334, 1331, 912, 20228, 760, 681, 902, 281, 634, 4295, 3693, 540, 606, 25494, 17277, 8258, 267, 17277, 14034, 7520, 519, 4483, 540, 5122, 6786, 543, 1379, 2066, 519, 15914, 8818, 269, 15380, 1500, 540, 10475, 4496, 23212, 899, 4154, 610, 8988, 267, 17277, 14034, 2327, 1970, 5122, 4187, 543, 6325, 2773, 563, 289, 6350, 1127, 281, 12539, 610, 27948, 26814, 3715, 5122, 3346, 1063, 519, 19335, 543, 15914, 3334, 267, 7175, 519, 4483, 540, 6786, 543, 1379, 998, 519, 17277, 14034, 563, 295, 748, 902, 281, 25494, 17277, 14034, 616, 18172, 24428, 1369, 7347, 11700, 17007, 267, 7863, 873, 689, 2825, 2188, 971, 607, 7452, 267, 7509, 267, 543, 21513, 269, 634, 8027, 849, 2337, 2226, 519, 12972, 543, 8699, 540, 519, 17277, 8258, 10198, 563, 21010, 832, 281, 4982, 5792, 609, 28339, 267, 25494, 17277, 14034, 2327, 513, 5150, 543, 6325, 4276, 1063, 519, 19335, 543, 15914, 3334, 267, 14123, 2653, 5610, 563, 21104, 725, 540, 25494, 6215, 760, 681, 902, 454, 292, 22313, 17277, 14034, 1265, 3156, 538, 1585, 6080, 1141, 15774, 1239, 543, 1379, 6771, 2066, 15914, 17103, 616, 1898, 269, 2368, 1455, 3156, 1331, 912, 20360, 5695, 321, 1149, 281, 25494, 17277, 14034, 5512, 1483, 6066, 1239, 2792, 1063, 519, 19335, 3490, 543, 519, 15914, 19059, 538, 2842, 17081, 1949, 269, 901, 16881, 6552, 5464, 267, 1852, 267, 543, 11938, 267, 3056, 547, 4824, 2773, 543, 5826, 4398, 563, 21659, 18352, 543, 28290, 281, 25494, 17277, 14034, 616, 8246, 538, 18951, 1949, 547, 10141, 1852, 6786, 267, 9300, 1239, 267, 543, 3381, 20555, 689, 19335, 27196, 547, 15914, 10549, 269, 1358, 5512, 5730, 1852, 543, 15774, 5106, 540, 18951, 1949, 563, 21357, 24919, 281, 769, 2564, 9196, 3937, 971, 607, 11632, 1085, 22395, 543, 18909, 6191, 267, 25494, 17277, 14034, 2327, 796, 5793, 32152, 1239, 4483, 1063, 519, 19335, 23641, 543, 519, 15914, 575, 656, 787, 269, 901, 2636, 585, 519, 6771, 540, 1164, 22822, 2592, 543, 3461, 1239, 563, 26581, 7434, 28290, 281, 25494, 17277, 14034, 7520, 1483, 6066, 1239, 5385, 1063, 19335, 27196, 543, 15914, 12227, 538, 4853, 12957, 3156, 269, 1358, 5512, 3608, 5464, 267, 1852, 267, 543, 15222, 1436, 540, 4853, 3157, 538, 6080, 971, 607, 11183, 267, 1570, 7829, 267, 543, 10198, 3515, 563, 8139, 623, 4545, 820, 6215, 760, 681, 902, 454, 303, 4545, 820, 17277, 14034, 267, 849, 1634, 607, 6366, 17277, 14034, 610, 1970, 3491, 12803, 17277, 14034, 267, 616, 11741, 543, 11684, 3457, 2966, 547, 10141, 5122, 6786, 267, 1379, 267, 543, 1585, 2792, 10873, 2066, 15914, 17103, 269, 10886, 1242, 676, 741, 6366, 543, 3443, 322, 820, 6438, 2497, 267, 3443, 322, 820, 17277, 14034, 2709, 2653, 5610, 883, 2230, 268, 6247, 11712, 1949, 1510, 18731, 2773, 563, 8722, 2137, 543, 22020, 540, 623, 4545, 820, 6215, 760, 681, 902, 454, 303, 4545, 820, 17277, 14034, 4865, 2189, 2934, 543, 3334, 602, 1118, 873, 5078, 585, 1808, 3156, 269, 1452, 1331, 912, 14503, 520, 5071, 281, 634, 6366, 543, 11741, 1374, 540, 3443, 322, 820, 17277, 14034, 2636, 585, 2653, 10380, 538, 1949, 609, 3908, 2230, 269, 901, 2306, 873, 4998, 585, 1507, 8397, 3457, 543, 3156, 1141, 2450, 568, 513, 2629, 7156, 563, 21296, 27989, 281, 623, 4545, 820, 17277, 14034, 666, 13918, 2789, 11387, 267, 14123, 519, 21800, 6771, 540, 6786, 267, 1379, 267, 543, 1239, 2066, 519, 15914, 8818, 269, 634, 1297, 540, 11387, 9775, 4470, 593, 519, 1808, 3498, 4170, 563, 20181, 15379, 30433, 281, 623, 4545, 820, 17277, 14034, 616, 22041, 547, 7413, 5122, 6846, 543, 13779, 267, 4180, 1164, 7779, 5365, 6771, 1256, 538, 14053, 5054, 269, 901, 4183, 568, 3226, 1271, 538, 6213, 1949, 899, 2564, 3457, 543, 3621, 7405, 563, 11947, 15585, 1049, 4325, 2644, 281, 623, 4545, 820, 17277, 14034, 666, 6023, 1164, 24364, 11250, 267, 10018, 532, 6325, 1239, 6771, 538, 6385, 15914, 1949, 563, 21104, 725, 540, 623, 4545, 820, 6215, 760, 23580, 454, 303, 4545, 820, 17277, 14034, 1265, 3156, 538, 1585, 6080, 1141, 11741, 1145, 543, 1164, 2773, 616, 2629, 269, 2368, 8037, 3156, 1331, 912, 21659, 18352, 543, 28290, 281, 623, 4545, 820, 17277, 14034, 616, 4922, 1031, 538, 18951, 1949, 267, 7175, 15774, 2792, 1063, 19335, 27196, 543, 15914, 10549, 269, 1358, 7520, 519, 6771, 540, 1852, 6786, 267, 1379, 267, 543, 9300, 1239, 267, 4180, 5730, 1852, 543, 5347, 5106, 540, 18951, 1949, 563, 288, 518, 18209, 543, 16470, 281, 769, 519, 23825, 543, 8878, 6080, 267, 3443, 322, 820, 17277, 14034, 1404, 513, 4105, 1909, 538, 1949, 971, 607, 2234, 1513, 267, 13178, 3937, 267, 543, 2792, 3457, 269, 1358, 5512, 519, 4483, 540, 2565, 1239, 543, 6786, 1063, 19335, 543, 15914, 3334, 563, 289, 5802, 4751, 543, 30007, 281, 623, 4545, 820, 17277, 14034, 616 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3204, 687, 2986, 4516, 10934, 2592, 4015, 563, 7922, 1678, 4786, 540, 4516, 3371, 649, 723, 3177, 513, 1390, 4199, 607, 621, 666, 581, 1031, 547, 1397, 971, 513, 2647, 3099, 540, 10923, 1702, 269, 3245, 519, 1292, 535, 3233, 3395, 4525, 543, 519, 1292, 5095, 267, 547, 519, 4087, 540, 519, 2477, 2067, 2200, 543, 519, 4087, 540, 4516, 781, 2168, 2934, 269, 10934, 540, 28492, 2168, 4525, 269, 744, 2322, 707, 2012, 593, 519, 4786, 1210, 519, 1739, 5750, 6445, 538, 1142, 4216, 896, 1142, 540, 519, 26333, 269, 966, 770, 543, 9867, 28492, 568, 513, 2197, 540, 23836, 8916, 543, 909, 18566, 4207, 4872, 540, 535, 329, 867, 561, 14414, 5032, 6050, 543, 1350, 626, 2287, 12647, 269, 11683, 4872, 540, 519, 269, 4516, 8447, 3204, 687, 269, 18224, 532, 1283, 476, 279, 3211, 1336, 585, 1107, 4516, 8447, 3204, 687, 269, 2368, 540, 519, 3211, 585, 713, 1523, 616, 3204, 687, 540, 28492, 267, 14520, 2168, 4525, 540, 28492, 267, 24732, 593, 1514, 2090, 267, 4317, 2090, 1788, 1544, 267, 8092, 845, 4525, 540, 28492, 267, 634, 8087, 2829, 543, 28492, 267, 4516, 513, 2244, 540, 4525, 267, 17323, 3992, 2626, 1883, 563, 29619, 4438, 713, 1770, 267, 1053, 786, 1451, 827, 4516, 781, 2797, 543, 2168, 4525, 269, 4516, 568, 1500, 909, 540, 4557, 16899, 543, 1614, 11182, 269, 4322, 616, 1634, 607, 2797, 4525, 20193, 568, 849, 5258, 883, 1114, 13664, 2127, 1634, 607, 2168, 4525, 269, 2026, 649, 1451, 811, 827, 4516, 267, 649, 786, 3605, 519, 2067, 2200, 540, 1142, 3148, 543, 875, 649, 666, 1732, 946, 543, 1416, 585, 873, 269, 4516, 6227, 476, 280, 267, 7176, 275, 267, 277, 3583, 5998, 476, 273, 630, 274, 267, 279, 4649, 267, 1911, 13483, 11465, 264, 543, 513, 3443, 641, 569, 540, 1585, 2520, 665, 3916, 1738, 4525, 267, 540, 799, 972, 616, 476, 279, 1292, 4525, 269, 4516, 849, 13315, 5318, 17535, 14099, 267, 609, 519, 1158, 781, 13074, 23795, 540, 476, 25838, 267, 271, 5655, 21240, 630, 14681, 267, 25171, 11465, 1040, 634, 2168, 11585, 540, 4516, 568, 4922, 9867, 269, 645, 648, 531, 7733, 7173, 841, 2429, 519, 2197, 267, 4672, 568, 7986, 538, 14926, 615, 569, 11848, 4525, 543, 269, 8447, 3204, 687, 2986, 4516, 269, 8447, 3204, 687, 2986, 4516, 1107, 18224, 532, 1283, 476, 279, 3211, 1336, 585, 713, 1523, 907, 2368, 540, 519, 3211, 585, 713, 1523, 616, 14520, 2168, 4525, 540, 28492, 267, 3204, 687, 540, 28492, 267, 4317, 2090, 1788, 1544, 267, 4516, 513, 2244, 540, 4525, 267, 24732, 593, 1514, 2090, 267, 8092, 845, 4525, 540, 28492, 267, 9978, 11585, 540, 28492, 3992, 1544, 267, 634, 8087, 2829, 543, 28492, 563, 16498, 4525, 540, 28492, 4786, 769, 1249, 1614, 20453, 540, 782, 666, 6598, 14475, 5370, 616, 3812, 538, 23835, 9222, 543, 6446, 13069, 269, 2368, 540, 519, 3211, 585, 713, 1523, 616, 4525, 540, 28492, 3670, 2168, 4525, 540, 28492, 3946, 593, 1514, 2090, 1514, 2090, 1788, 1544, 2244, 845, 4525, 540, 28492, 519, 8087, 2829, 543, 28492, 28492, 513, 2244, 540, 269, 901, 568, 606, 2228, 7688, 1572, 2475, 1299, 4516, 8447, 3204, 687, 10934, 1703, 568, 513, 7792, 4976, 2139, 585, 4647, 1934, 865, 596, 666, 1491, 519, 7688, 609, 4050, 543, 1957, 269, 9612, 6435, 538, 15531, 2475, 1299, 4516, 8447, 3204, 687, 10934, 1107, 6732, 13658, 19405, 9947, 476, 2190, 267, 476, 1001, 280, 1107, 10812, 1548, 11334, 21763, 781, 4604, 834, 16498, 3204, 687, 540, 4516, 257, 593, 26964, 269, 6423, 811, 2093, 827, 16323, 267, 4516, 267, 8212, 563, 28657, 2168, 4786, 630, 29734, 264, 1107, 10934, 13658, 10794, 281, 634, 10700, 4786, 7688, 3135, 256, 590, 2678, 571, 786, 4161, 596, 609, 17118, 827, 2477, 267, 1698, 8558, 267, 17514, 267, 12084, 267, 12647, 543, 811, 256, 13823, 1027, 538, 476, 1960, 278, 543, 2139, 538, 476, 3607, 1114, 4654, 267, 590, 2678, 571, 814, 5280, 5215, 540, 1004, 1353, 11585, 543, 1451, 827, 741, 1158, 269, 4284, 328, 4919, 3204, 687, 540, 4516, 616, 1631, 2139, 607, 606, 7317, 4786, 269, 4516, 779, 2244, 21346, 568, 1360, 4129, 1881, 543, 13408, 1896, 10058, 2127, 267, 1572, 28772, 4919, 4525, 267, 1142, 540, 799, 814, 922, 1378, 27177, 543, 20569, 269, 4284, 328, 4919, 4525, 616, 1804, 2127, 602, 2671, 2147, 8323, 543, 2244, 13257, 8032, 676, 1455, 2520, 25806, 269, 0, 22709, 633, 3296, 540, 5375, 9931, 543, 4936, 14364, 20114, 1310, 476, 272, 267, 10384, 1296, 17954, 1136, 5240, 454, 15912, 281, 22884, 267, 13243, 267, 5375, 9931, 454, 19425, 2801, 5505, 616, 835, 1900, 6251, 547, 6061, 519, 678, 1497, 540, 1018, 3576, 1747, 538, 13243, 1739, 519, 9552, 540, 519, 2749, 676, 14564, 538, 476, 3583, 9460, 563, 29994, 4165, 18709, 16958, 24085, 9307, 11728, 602, 585, 519, 2250, 1079, 1296, 789, 723, 1044, 14155, 908, 543, 20392, 513, 7372, 5216, 2173, 2678, 2620, 3296, 540, 13243, 779, 5375, 9931, 267, 31305, 585, 476, 272, 267, 10384, 1296, 563, 4517, 538, 519, 1576, 540, 741, 960, 267, 799, 814, 1044, 23900, 23312, 2047, 9944, 14355, 779, 5246, 2443, 519, 1858, 5612, 11105, 547, 519, 2367, 779, 3296, 540, 519, 5375, 9931, 2443, 789, 30122, 4362, 513, 1507, 4936, 14364, 269, 634, 2007, 814, 711, 1958, 549, 3737, 896, 519, 13527, 6778, 563, 1260, 906, 13324, 676, 2598, 638, 338, 454, 268, 1548, 19732, 839, 1879, 590, 4596, 307, 4785, 568, 901, 1133, 16647, 983, 888, 268, 18832, 9040, 6308, 781, 25201, 32672, 1023, 519, 12287, 19992, 519, 12287, 320, 454, 268, 10435, 513, 28800, 1756, 26415, 16011, 454, 268, 19805, 3778, 1765, 288, 1234, 14765, 5407, 547, 5261, 645, 7596, 324, 593, 634, 2422, 540, 3778, 693, 590, 4596, 307, 4785, 454, 268, 28641, 267, 22622, 15213, 5600, 7467, 1234, 641, 839, 267, 10435, 6206, 13505, 540, 32013, 11780, 513, 4741, 585, 4563, 3778, 454, 268, 12729, 11905, 281, 12736, 940, 2622, 2782, 476, 272, 1635, 674, 18017, 17904, 693, 519, 23108, 1356, 344, 22388, 454, 268, 634, 30814, 19475, 2920, 4112, 1622, 1215, 519, 31440, 918, 2908, 1548, 547, 9612, 1280, 693, 3057, 8584, 6441, 6210, 454, 268, 634, 7100, 3767, 256, 634, 1280, 326, 13516, 21478, 540, 700, 269, 645, 1370, 4425, 345, 749, 593, 519, 9406, 454, 268, 3967, 823, 7043, 821, 267, 18127, 2401, 540, 1977, 5253, 26492, 454, 268, 4860, 529, 1746, 15248, 681, 5255, 5112, 543, 4173, 1325, 548, 3022, 5975, 2001, 531, 540, 14732, 645, 1961, 2106, 0, 20458, 1689, 6433, 281, 717, 6504, 6030, 593, 22666, 942, 607, 3047, 781, 4365, 3270, 1831, 3552, 518, 454, 18154, 13585, 264, 763, 476, 1789, 610, 865, 17075, 6030, 538, 519, 17865, 8235, 6019, 540, 18096, 4235, 909, 1472, 8370, 2929, 17529, 540, 1216, 513, 1554, 547, 3251, 29814, 3039, 4534, 602, 781, 811, 982, 476, 1724, 16727, 13355, 10977, 20115, 563, 31572, 519, 32005, 593, 17075, 6030, 849, 1797, 1210, 3327, 25673, 18168, 267, 7899, 540, 544, 12976, 543, 267, 538, 1082, 2665, 267, 21757, 7733, 610, 4054, 602, 941, 865, 1136, 909, 3327, 1673, 8610, 728, 547, 1118, 1259, 585, 1279, 8778, 338, 540, 4023, 3118, 563, 1103, 824, 1913, 267, 17075, 568, 513, 18660, 7328, 602, 781, 20739, 9535, 519, 4541, 269, 1809, 621, 3085, 1405, 723, 547, 581, 563, 763, 1764, 540, 17075, 593, 519, 2916, 543, 1604, 814, 3366, 547, 3395, 7125, 547, 1118, 519, 7328, 811, 4264, 4534, 1256, 547, 1404, 593, 5642, 1673, 787, 6030, 267, 607, 17075, 532, 10828, 26286, 28418, 814, 10150, 563, 4517, 621, 781, 711, 1175, 547, 4688, 519, 4541, 267, 855, 547, 4688, 519, 7328, 3294, 267, 607, 519, 2916, 6433, 27938, 547, 2981, 1082, 6030, 883, 544, 28854, 2220, 10102, 563, 763, 7022, 540, 519, 1977, 5980, 540, 717, 6504, 6092, 11629, 338, 630, 3008, 294, 7563, 1070, 26778, 18135, 6390, 267, 5143, 23711, 22505, 875, 519, 2916, 6433, 814, 1044, 7133, 17075, 538, 6360, 6253, 805, 2989, 8419, 267, 543, 538, 11882, 543, 18096, 267, 799, 723, 1044, 5734, 676, 15911, 31032, 268, 639, 783, 4365, 543, 1256, 10980, 563, 257, 5141, 889, 338, 2760, 1031, 547, 723, 547, 2673, 1310, 1079, 20878, 4764, 267, 1631, 789, 798, 269, 1358, 849, 1995, 13566, 1554, 14700, 2437, 1767, 18135, 6390, 563, 1103, 24543, 267, 8128, 616, 9870, 1857, 28368, 547, 513, 5934, 540, 476, 274, 269, 275, 3952, 267, 855, 811, 982, 476, 2004, 260, 540, 6030, 538, 519, 2749, 616, 896, 713, 5934, 267, 799, 14034, 15372, 30518, 585, 18135, 6390, 563, 257, 2252, 789, 1810, 1405, 979, 856, 543, 12777, 12740, 741, 11640, 909, 538, 519, 2011, 267, 789, 2811, 2469, 547, 581, 538, 513, 10419, 1302, 4514, 543, 4514, 8602, 30344, 2437, 646, 1767, 563, 257, 2252, 789, 1589, 789, 723, 2042, 1631, 267, 538, 476, 1015, 1296, 267, 789, 2811, 2469, 547, 581, 513, 32761, 4799, 3719, 1689, 786, 1226, 622, 547, 1942, 267, 799, 568, 1141, 17075, 781, 13915, 1265, 741, 5639, 2899, 811, 281, 6030, 616, 1175, 711, 4264, 15042, 563, 20684, 11905, 10778, 290, 4878, 23412, 540, 519, 8693, 5240, 4930, 4866, 547, 519, 9757, 9012, 932, 2335, 1564, 563, 1607, 8693, 5240, 22045, 568, 1875, 17416, 543, 20833, 1875, 17466, 4464, 532, 3988, 547, 634, 7351, 6820, 8693, 5240, 0, 307, 2532, 281, 1411, 616, 547, 2626, 21450, 540, 519, 1739, 2055, 912, 268, 1548, 568, 519, 1909, 540, 519, 22459, 538, 2486, 286, 7994, 513, 2486, 11305, 11857, 270, 5503, 1974, 547, 2263, 563, 268, 9181, 519, 4720, 540, 513, 1880, 2511, 270, 2102, 516, 270, 5503, 1974, 269, 6056, 827, 1018, 5949, 538, 2486, 543, 2257, 543, 2029, 693, 519, 942, 547, 3986, 922, 4720, 563, 7312, 1867, 1590, 581, 476, 8517, 1913, 538, 3259, 22791, 25773, 476, 1015, 22103, 2659, 15853, 568, 10691, 3769, 538, 519, 2262, 1293, 563, 7312, 1867, 786, 581, 2944, 693, 1753, 267, 711, 1282, 1362, 942, 563, 2791, 1590, 1331, 606, 4977, 543, 7157, 4843, 15853, 609, 707, 1867, 269, 7490, 4063, 602, 1022, 15853, 9967, 540, 15745, 338, 1152, 568, 711, 11807, 269, 6423, 519, 31639, 9184, 585, 948, 609, 1210, 26159, 1949, 563, 18814, 4266, 281, 1677, 581, 15695, 454, 288, 26894, 8535, 10418, 454, 4467, 1842, 619, 262, 7033, 5202, 630, 5793, 5562, 994, 4467, 1842, 619, 262, 7033, 5202, 2636, 596, 547, 1294, 25803, 538, 2796, 540, 942, 543, 6402, 547, 8301, 6119, 540, 741, 2575, 563, 24058, 4786, 910, 7064, 6004, 9466, 454, 763, 1715, 717, 17311, 9218, 540, 8535, 543, 4053, 5974, 454, 288, 1434, 1376, 547, 707, 1382, 1131, 581, 547, 19584, 634, 1715, 717, 17311, 9218, 540, 8535, 543, 4053, 5974, 538, 519, 13129, 3296, 540, 519, 5399, 269, 1452, 12531, 616, 4092, 593, 519, 1970, 21684, 538, 519, 1647, 540, 519, 5399, 269, 1411, 3112, 10210, 873, 855, 596, 666, 5299, 630, 2254, 811, 982, 476, 1015, 8472, 519, 3817, 596, 991, 563, 4692, 594, 946, 9504, 888, 2791, 991, 547, 1589, 827, 875, 547, 946, 9504, 269, 898, 781, 15502, 547, 946, 621, 607, 513, 4358, 1448, 547, 1205, 707, 26971, 267, 19584, 1114, 6810, 547, 1205, 606, 7650, 540, 519, 2489, 1543, 267, 1287, 1413, 693, 519, 2959, 1031, 563, 2710, 930, 19792, 960, 2899, 596, 2811, 593, 891, 4609, 1317, 1018, 596, 2811, 3168, 585, 949, 711, 581, 5612, 7298, 563, 294, 17698, 8535, 3778, 4967, 6163, 543, 5712, 454, 24523, 5680, 28865, 6833, 12288, 12449, 855, 1082, 1434, 6402, 454, 7367, 1290, 1842, 619, 630, 2421, 22874, 994, 29613, 553, 593, 519, 2196, 454, 268, 966, 2526, 10972, 781, 2575, 729, 585, 519, 5939, 454, 268, 29732, 910, 1418, 454, 12218, 673, 5736, 281, 6520, 540, 21654, 454, 268, 519, 1647, 1362, 454, 268, 22968, 543, 8106, 2575, 585, 9913, 454, 305, 558, 4842, 281, 4957, 519, 18190, 1106, 454, 763, 11633, 7169, 476, 12293, 271, 910, 476, 7277, 271, 281, 1007, 5663, 3157, 454, 27078, 549, 5289, 338, 910, 8474, 538, 3013, 454, 7922, 1132, 32434, 9579, 630, 25567, 320, 910, 1294, 28834, 26323, 994, 305, 1442, 910, 3167, 1368, 527, 1513, 476, 4198, 271, 338, 454, 268, 6844, 344, 4591, 569, 454, 268, 4432, 6665, 3465, 2917, 454, 268, 7585, 667, 2643, 534, 454, 268, 17029, 1782, 12942, 454, 24841, 18450, 910, 4638, 4838, 282, 519, 10476, 2782, 454, 268, 2598, 1723, 281, 14349, 13957, 674, 1197, 454, 268, 7812 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9759, 540, 519, 11275, 269, 18833, 4937, 20232, 634, 3457, 543, 5106, 540, 519, 11275, 630, 19491, 668, 24599, 264, 1631, 2968, 2312, 1946, 519, 22197, 4482, 4401, 3615, 563, 268, 1879, 1705, 966, 1245, 655, 677, 1711, 1010, 9710, 322, 745, 343, 525, 888, 268, 1684, 596, 1616, 547, 2333, 3896, 6808, 585, 552, 19645, 888, 268, 1548, 616, 930, 1590, 723, 2780, 3756, 454, 268, 1215, 1705, 700, 1314, 639, 1831, 513, 15743, 547, 2678, 454, 268, 1548, 568, 606, 5967, 454, 268, 1548, 1058, 594, 4444, 538, 3567, 454, 268, 1215, 649, 948, 938, 4182, 454, 268, 1772, 7061, 7998, 513, 851, 540, 6323, 454, 268, 1215, 547, 6460, 476, 13301, 6447, 547, 476, 3066, 326, 454, 268, 4210, 15501, 1134, 585, 838, 12541, 1562, 454, 268, 4208, 568, 513, 2634, 13003, 711, 2943, 2009, 888, 268, 1215, 568, 519, 4975, 2160, 540, 5507, 454, 268, 5808, 616, 31400, 476, 1470, 454, 268, 1548, 568, 519, 1655, 3859, 1216, 6802, 454, 268, 1215, 2097, 707, 1715, 5729, 781, 21368, 454, 268, 5808, 1131, 899, 547, 3643, 16444, 20092, 454, 268, 1879, 798, 519, 29735, 2477, 8661, 8285, 888, 268, 9894, 17577, 781, 3075, 3656, 1436, 960, 888, 268, 6904, 2528, 568, 4583, 585, 25487, 8286, 454, 268, 1548, 568, 519, 946, 540, 670, 5964, 641, 454, 268, 1548, 568, 519, 1655, 14167, 31964, 6249, 454, 268, 4317, 2923, 568, 4502, 621, 585, 645, 273, 289, 454, 268, 1684, 596, 1589, 1250, 7015, 568, 24401, 6150, 888, 268, 1548, 568, 519, 4686, 560, 1216, 19210, 0, 1432, 941, 519, 2686, 32387, 540, 2342, 538, 3504, 267, 10120, 543, 2413, 2053, 286, 589, 1007, 1382, 1788, 11099, 789, 666, 2285, 513, 1732, 4605, 540, 713, 676, 11837, 856, 1141, 519, 1655, 543, 6505, 652, 540, 7262, 10340, 941, 4535, 543, 5747, 269, 769, 513, 3381, 789, 30792, 713, 3923, 267, 596, 666, 1246, 875, 2342, 814, 4957, 936, 519, 2063, 476, 273, 267, 1822, 1296, 563, 763, 1382, 2319, 267, 3366, 676, 3220, 269, 7665, 574, 27482, 5576, 747, 540, 519, 2160, 540, 7147, 693, 28543, 267, 814, 18949, 539, 519, 9194, 543, 10688, 3270, 540, 811, 982, 476, 5611, 267, 1822, 8037, 2043, 267, 799, 789, 4126, 786, 1732, 938, 1620, 540, 1804, 8397, 2686, 6384, 563, 10527, 1353, 14405, 513, 19599, 3102, 4605, 540, 3864, 543, 3345, 1977, 2686, 5872, 602, 666, 1406, 581, 6382, 6913, 1510, 17874, 5318, 5666, 540, 3332, 610, 2036, 532, 15768, 1239, 5036, 2223, 5576, 747, 1767, 269, 968, 1607, 1353, 3252, 899, 513, 12550, 2675, 2100, 267, 1141, 11050, 14374, 543, 12007, 14374, 9148, 1142, 824, 3034, 763, 3381, 602, 5654, 693, 2342, 2982, 602, 1310, 519, 476, 1321, 628, 2540, 267, 7507, 779, 1909, 607, 519, 8789, 2686, 8998, 540, 519, 3148, 8519, 267, 543, 8303, 2968, 835, 540, 519, 1034, 2442, 18353, 585, 15520, 1713, 20404, 269, 0, 19770, 30792, 513, 13777, 22618, 968, 4582, 23550, 892, 5721, 593, 13638, 602, 814, 513, 1283, 3432, 540, 476, 32699, 5195, 829, 5662, 2443, 1818, 621, 519, 16595, 2666, 6174, 538, 519, 1158, 563, 3528, 6476, 267, 23592, 779, 7844, 590, 1773, 4660, 2443, 799, 519, 2754, 12014, 607, 519, 16595, 2504, 1286, 538, 519, 1158, 2443, 25568, 856, 693, 1175, 476, 1220, 18890, 563, 763, 4457, 5721, 3096, 968, 332, 698, 4582, 892, 2029, 267, 2495, 13590, 4229, 1450, 519, 5721, 547, 26550, 10028, 1657, 519, 3950, 609, 1100, 3346, 1063, 1560, 543, 7841, 269, 634, 3668, 540, 11508, 13071, 519, 5721, 3914, 1025, 3563, 532, 11250, 563, 19770, 814, 7318, 4012, 4582, 2029, 593, 513, 3908, 4336, 585, 1079, 5756, 267, 855, 814, 711, 2943, 9112, 1279, 26591, 3515, 602, 1131, 960, 609, 519, 1007, 5721, 267, 799, 1533, 2923, 1767, 568, 513, 18634, 602, 786, 581, 1031, 585, 1382, 563, 4263, 476, 32699, 18890, 267, 621, 1131, 1491, 1175, 476, 273, 16006, 3108, 547, 2951, 689, 19864, 547, 29258, 2443, 513, 3460, 540, 811, 982, 476, 30663, 5195, 602, 4867, 3217, 1614, 3108, 676, 7077, 563, 3528, 6476, 267, 3013, 779, 16595, 5721, 2443, 519, 589, 4897, 320, 18124, 689, 1715, 3840, 4975, 547, 6115, 267, 9823, 2443, 25568, 856, 693, 1175, 476, 13670, 18890, 269, 2311, 4012, 4582, 11250, 267, 602, 3460, 1131, 1491, 1447, 982, 606, 5662, 563, 8448, 2477, 1519, 3567, 543, 5125, 616, 849, 3168, 547, 1628, 4012, 4582, 5121, 267, 855, 1164, 3790, 543, 22424, 520, 2225, 609, 1699, 3950, 5989, 2611, 23665, 563, 14976, 517, 30073, 814, 14593, 519, 2856, 540, 513, 968, 29730, 31467, 892, 602, 22534, 15915, 538, 513, 10540, 998, 606, 2011, 1652, 8546, 693, 909, 547, 476, 7785, 18890, 269, 9291, 542, 18311, 20090, 543, 30073, 5493, 9400, 645, 4920, 517, 7318, 519, 1523, 538, 513, 476, 1911, 2173, 874, 4693, 2196, 609, 1079, 15915, 538, 5412, 267, 9621, 602, 646, 1131, 835, 1554, 29060, 15915, 689, 1715, 3840, 4975, 547, 6115, 267, 9823, 267, 538, 476, 1789, 3764, 563, 4407, 519, 7910, 15214, 31467, 1286, 602, 779, 896, 1646, 814, 513, 4390, 540, 1175, 476, 2764, 15915, 267, 676, 1210, 2789, 6517, 513, 15214, 31467, 1062, 786, 581, 5827, 540, 8876, 909, 547, 476, 2004, 267, 1822, 15915, 829, 5662, 267, 519, 2754, 3081, 563, 4415, 5403, 12904, 0, 4131, 737, 581, 513, 2067, 1297, 269, 5565, 9981, 14668, 543, 16061, 616, 1767, 547, 723, 519, 3959, 667, 17347, 264, 630, 4046, 269, 667, 8987, 330, 4297, 952, 14668, 15512, 266, 330, 630, 4046, 269, 14668, 15512, 10275, 264, 568, 513, 3501, 4009, 269, 634, 3483, 540, 713, 1957, 568, 1541, 1709, 540, 21335, 6721, 22712, 745, 1255, 609, 3959, 667, 17347, 264, 585, 1978, 2418, 540, 737, 269, 5549, 1211, 958, 519, 1957, 6770, 856, 606, 693, 268, 24744, 540, 10548, 534, 340, 13568, 1297, 476, 15094, 280, 538, 7700, 1079, 22712, 745, 1255, 540, 21335, 609, 3959, 667, 17347, 1916, 21292, 543, 1912, 29320, 454, 19187, 1399, 533, 330, 267, 8831, 762, 1305, 267, 2398, 282, 330, 5311, 267, 623, 749, 781, 3830, 267, 22712, 745, 921, 609, 4144, 2684, 14932, 3959, 267, 10548, 534, 340, 13568, 1297, 563, 288, 8160, 2529, 269, 1641, 1362, 328, 16667, 322, 566, 454, 1556, 289, 4391, 267, 476, 1556, 289, 10695, 267, 476, 1556, 291, 6021, 269, 0, 268, 1403, 621, 13978, 1932, 3905, 585, 513, 1279, 942, 267, 513, 4104, 3595, 666, 2049, 267, 799, 538, 2490, 666, 1291, 547, 865, 10777, 3595, 12269, 563, 268, 31420, 2592, 1397, 875, 513, 6531, 540, 3595, 4646, 538, 519, 8225, 2749, 540, 10370, 582, 1310, 513, 2837, 540, 476, 2004, 11019, 290, 543, 513, 4104, 3595, 563, 268, 9605, 12269, 616, 865, 16160, 1317, 3079, 540, 4764, 789, 2356, 2014, 19711, 28323, 610, 17500, 267, 799, 2417, 10173, 519, 3595, 563, 1607, 568, 513, 30380, 5858, 281, 952, 621, 568, 1932, 3905, 538, 606, 1858, 585, 930, 942, 267, 513, 4104, 3595, 666, 2049, 267, 799, 538, 2490, 3947, 4473, 547, 865, 10777, 3595, 12269, 630, 6853, 10635, 636, 592, 517, 12494, 639, 264, 547, 581, 2111, 547, 1291, 269, 898, 568, 513, 1826, 540, 6531, 602, 2164, 689, 3595, 15420, 543, 6770, 609, 873, 7372, 15420, 267, 19711, 28323, 543, 538, 4686, 2665, 14324, 29777, 563, 1607, 568, 1018, 5949, 538, 519, 8225, 2749, 540, 10370, 582, 267, 5045, 540, 26551, 269, 589, 2594, 2837, 540, 476, 2004, 5232, 814, 1044, 6592, 1934, 538, 519, 2063, 1906, 2395, 269, 2201, 13723, 267, 519, 11206, 9605, 6796, 4080, 1079, 11642, 538, 519, 11662, 269, 3973, 593, 13628, 1776, 14042, 4104, 3595, 13264, 856, 1107, 21006, 476, 3445, 2600, 540, 519, 8498, 269, 589, 9682, 3239, 17408, 9643, 676, 14368, 6048, 21241, 8055, 267, 606, 9441, 540, 519, 31913, 4659, 585, 27321, 3194, 538, 12548, 267, 2982, 875, 12269, 540, 3595, 4646, 936, 10370, 2714, 593, 13723, 10543, 267, 1175, 1354, 513, 2101, 30481, 563, 2691, 596, 1413, 693, 12269, 1657, 519, 8673, 540, 513, 30481, 267, 596, 2356, 1589, 540, 12269, 607, 19711, 269, 5502, 267, 621, 568, 7510, 10635, 636, 592, 517, 12494, 639, 269, 1635, 519, 1259, 267, 3595, 568, 1776, 2012, 585, 12269, 6983, 636, 592, 517, 12494, 639, 9206, 523, 7978, 2108, 267, 799, 1797, 1945, 899, 968, 335, 22004, 676, 26428, 9731, 13295, 2097, 519, 12269, 540, 3595, 454, 1320, 8974, 28323, 2356, 2049, 950, 6266, 540, 3636, 267, 5848, 2011, 14380, 689, 519, 2666, 547, 519, 6607, 269, 1403, 621, 13788, 519, 9803, 851, 540, 519, 5790, 267, 519, 2011, 3579, 338, 543, 29826, 1394, 4724, 3047, 269, 1703, 621, 646, 1846, 909, 1586, 543, 14380, 1586, 269, 20226, 1289, 713, 4783, 28681, 1107, 621, 3123, 19711, 28323, 547, 1106, 12269, 563, 4913, 267, 952, 3636, 2011, 14380, 711, 689, 519, 2666, 267, 855, 936, 513, 15137, 344, 3595, 267, 1287, 3079, 540, 19711, 267, 519, 3595, 12269, 4330, 1657, 616, 6383, 269, 1358, 2408, 606, 341, 559, 8032, 543, 666, 3132, 4764, 899, 824, 12269, 269, 10705, 267, 2705, 267, 789, 798, 711, 3132, 519, 12772, 2877, 5612, 267, 855, 2864, 3532, 28377, 540, 2011, 267, 1634, 607, 968, 6658, 10767, 7370, 9731, 4322, 7903, 3819, 2011, 1394, 547, 519, 2666, 267, 799, 1797, 519, 900, 1499, 543, 8673, 540, 519, 3595, 616, 5645, 936, 1279, 9883, 269, 3689, 540, 782, 267, 519, 26428, 602, 28596, 519, 7088, 616, 849, 642, 5034, 269, 12877, 10635, 636, 592, 517, 12494, 639, 15420, 666, 849, 5352, 3532, 17500, 31211, 602, 1376, 1007, 11642, 269, 634, 4102, 6531, 540, 922, 2186, 729, 4767, 936, 4993, 538, 5181, 476, 1708, 271, 1107, 606, 1858, 602, 1131, 723, 3514, 1614, 2053, 936, 519, 2749, 540, 22208, 563, 1103, 519, 10782, 2013, 267, 519, 28681, 2842, 538, 519, 7510, 10635, 636, 592, 517, 12494, 639, 6531, 4871, 3029, 513, 2220, 26325, 267, 9764, 6241, 543, 519, 7088, 7140, 883, 513, 968, 3369, 20071, 13388, 540, 3595, 1848, 901, 5949, 538, 476, 1220, 274, 2282, 2052, 828, 571, 267, 5245, 267, 950, 513, 3595, 13264, 856, 1472, 519, 2749, 585, 1079, 4374, 563, 2005, 949, 849, 4755, 602, 711, 1152, 835, 3595, 1301, 568, 4646, 267, 855, 1896, 693, 519, 1482, 942, 269, 1280, 1383, 267, 538, 519, 5614, 540, 476, 1220, 280, 267, 5458, 17382, 18394, 1266, 5285, 539, 606, 1858, 540, 827, 476, 275, 267, 4335, 4009, 12919, 538, 22703, 5245, 269, 8422, 5094, 7510, 10635, 636, 592, 517, 12494, 639, 15420, 723, 7018, 1107, 930, 540, 799, 723, 6603, 15627, 540, 827, 476, 1691, 267, 4335, 544, 563, 295, 584, 21814, 3006, 4323, 519, 14404, 14459, 454, 2026, 5210, 4473, 543, 519, 2011, 3587, 5671, 518, 267, 4104, 11642, 616, 4742, 811, 1455, 269, 1306, 891, 2333, 538, 4908, 543, 10335, 267, 865, 798, 811, 32205, 269, 589, 2698, 540, 476, 1704, 971, 24377, 7018, 538, 4516, 267, 519, 2136, 2276, 543, 6792, 538, 476, 1220, 273, 267, 609, 476, 1839, 538, 7262, 3345, 3013, 4805, 1079, 5756, 2663, 267, 2825, 12139, 23171, 11740, 5359, 563, 4322, 15420, 666, 849, 581, 865, 1164, 602, 789, 4283, 519, 14404, 14459, 543, 519, 8673, 4947, 856, 540, 519, 2666, 10301, 972, 269, 898, 666, 581, 6740, 972, 585, 3275, 610, 1256, 1296, 269, 589, 476, 1001, 279, 1353, 4951, 602, 513, 1804, 7510, 10635, 636, 592, 517, 12494, 639, 6531, 666, 6494, 607, 1082, 8673, 5536, 883, 519, 14404, 14459, 607, 513, 5420, 13355, 15027, 20349, 563, 1607, 1257, 814, 1044, 12261, 689, 2296, 269, 596, 666, 1265, 519, 3312, 3371, 563, 28319, 6838, 1357, 12167, 269, 32365, 16159, 269, 5769, 24158, 269, 32425, 622, 1000, 7867, 1695, 4301, 269, 1133, 762, 547, 1826, 609, 4216, 532, 17309, 593, 269, 17151, 13717, 14420, 10178, 1738, 269, 0, 4462, 335, 8491, 10003, 338, 282, 1133, 335, 8491, 10003, 338, 2073, 589, 1007, 1867, 2337, 10034, 6608, 1118, 3609, 3664, 585, 4509, 543, 18175, 15665, 18574, 9897, 2073, 543, 2882, 4388, 585, 4155, 4586, 21980, 3894, 585, 11192, 10003, 3118, 654, 5954, 585, 1715, 14716, 540, 15020, 8899, 13305, 565, 2541, 10871, 10003, 338, 538, 22798, 19791, 2073, 18574, 9897, 3040, 1403, 1447, 982, 2073, 3400, 767, 10003, 4586, 13971, 476, 5400, 267, 476, 1001, 277, 6440, 1215, 547, 19321, 513, 667, 7398, 610, 3400, 767, 20000, 610, 10003, 2991, 3843, 6266, 540, 4485, 547, 2226, 707, 1279, 18574, 5397, 267, 596, 1522, 581, 11842, 875, 547, 1265 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8727, 267, 3370, 538, 476, 6642, 273, 269, 1261, 13991, 1776, 1614, 1296, 547, 519, 6602, 540, 519, 2495, 543, 3483, 540, 1272, 269, 2311, 519, 2673, 540, 519, 5722, 1296, 540, 1152, 1875, 27395, 3594, 267, 24729, 560, 1195, 759, 25390, 530, 454, 13707, 9107, 5980, 13707, 9107, 5980, 12389, 538, 513, 2486, 609, 3908, 5191, 540, 4082, 568, 711, 267, 538, 1022, 2013, 267, 11791, 269, 589, 11192, 9107, 2486, 568, 513, 1434, 1383, 540, 971, 513, 2486, 267, 1317, 4352, 621, 2488, 1852, 585, 519, 1004, 267, 621, 666, 20912, 873, 513, 1390, 4308, 540, 5191, 547, 2769, 2933, 269, 634, 14070, 2486, 538, 6723, 2107, 6202, 32075, 338, 968, 2735, 275, 892, 6763, 607, 513, 14165, 585, 513, 11192, 9107, 2486, 269, 9442, 267, 2123, 4978, 267, 543, 1367, 14017, 547, 519, 2229, 616, 782, 6417, 676, 519, 6418, 5428, 267, 627, 545, 454, 14399, 1656, 27657, 20222, 14399, 1656, 27657, 20222, 1548, 814, 519, 1158, 2097, 547, 891, 2395, 286, 898, 1419, 4667, 899, 10876, 835, 5654, 267, 5208, 7140, 922, 30299, 2212, 269, 1284, 1294, 621, 538, 519, 10754, 267, 1394, 10246, 903, 267, 3506, 267, 543, 1256, 693, 1753, 269, 634, 2063, 540, 891, 568, 513, 2101, 2707, 540, 5208, 269, 769, 1082, 9082, 685, 2713, 11623, 972, 5036, 606, 17752, 585, 5208, 602, 1419, 4422, 29462, 269, 5753, 945, 2070, 8613, 616, 1419, 15504, 883, 519, 10853, 267, 2943, 513, 14042, 1158, 540, 5208, 269, 13518, 1382, 814, 8854, 883, 6029, 1946, 1126, 516, 454, 307, 984, 8829, 31055, 1656, 4706, 667, 836, 2730, 12186, 2201, 962, 307, 984, 8829, 31055, 1656, 4706, 667, 836, 2730, 12186, 2201, 8479, 4658, 269, 28064, 476, 274, 267, 1822, 1453, 1376, 7296, 267, 1034, 873, 1063, 519, 6502, 540, 476, 1015, 543, 476, 1240, 269, 1452, 3214, 2272, 585, 476, 3445, 2600, 540, 782, 1007, 21596, 269, 769, 1249, 267, 476, 3445, 2600, 540, 782, 2937, 21596, 1767, 602, 789, 1101, 1396, 909, 607, 14038, 630, 23961, 1206, 1040, 1452, 7194, 5693, 1397, 602, 1762, 1004, 616, 519, 6305, 3077, 538, 519, 10269, 10617, 269, 634, 16906, 9755, 949, 20912, 621, 267, 855, 10229, 543, 13319, 1404, 513, 4105, 851, 538, 1818, 891, 5013, 513, 4641, 454, 2735, 275, 866, 10019, 715, 31106, 20640, 344, 6363, 712, 568, 513, 8903, 3209, 267, 2854, 538, 519, 1974, 1175, 1310, 654, 15030, 269, 2862, 269, 898, 3877, 519, 1272, 540, 835, 812, 267, 12736, 8725, 8055, 267, 543, 1010, 9620, 609, 606, 17216, 3673, 626, 2229, 269, 634, 1433, 568, 1305, 5111, 538, 519, 1032, 476, 2735, 275, 267, 538, 799, 12736, 8725, 32075, 338, 2486, 568, 12199, 676, 513, 12044, 3196, 1634, 607, 634, 9549, 1547, 2311, 519, 2212, 540, 713, 2229, 568, 513, 14070, 4137, 1634, 607, 8262, 19656, 267, 547, 7247, 782, 4961, 1590, 2648, 543, 2463, 269, 769, 713, 2486, 267, 7834, 543, 5191, 798, 711, 2291, 269, 4658, 513, 454, 288, 19940, 23397, 2107, 3509, 10374, 12267, 267, 634, 8382, 1772, 288, 19940, 23397, 2107, 3509, 10374, 12267, 267, 634, 8382, 1772, 29527, 12920, 532, 3118, 29527, 12920, 532, 3118, 814, 2854, 1082, 2835, 267, 799, 723, 1200, 531, 4765, 1864, 607, 513, 1390, 2278, 267, 855, 972, 568, 835, 3209, 602, 4667, 547, 723, 2055, 2220, 26325, 827, 621, 267, 769, 3776, 5384, 269, 769, 713, 3209, 519, 1292, 1915, 568, 538, 2243, 267, 596, 616, 8572, 547, 2995, 1318, 2476, 2436, 519, 11271, 23995, 1559, 616, 5532, 1927, 607, 513, 3209, 267, 610, 952, 789, 616, 782, 5094, 2110, 2984, 269, 11109, 1224, 519, 1433, 267, 543, 2348, 2944, 513, 4282, 2638, 593, 29527, 12920, 532, 3118, 454, 13070, 3415, 1656, 634, 8278, 560, 2329, 13070, 3415, 1656, 634, 8278, 560, 2329, 634, 3397, 3415, 543, 519, 8278, 560, 2329, 20186, 18466, 32109, 779, 6560, 547, 1831, 519, 20032, 540, 11193, 1480, 1143, 269, 769, 519, 1576, 540, 519, 3209, 18466, 32109, 1590, 7753, 519, 13779, 540, 1010, 1920, 267, 3909, 2915, 2742, 267, 2797, 26675, 267, 13099, 531, 19121, 720, 267, 4108, 11044, 267, 543, 7499, 30983, 547, 8275, 1010, 7499, 20440, 269, 6736, 1010, 4651, 779, 11685, 267, 12964, 4458, 6040, 18466, 32109, 3587, 606, 22961, 823, 267, 1101, 547, 18048, 13850, 597, 1633, 320, 1470, 543, 1287, 547, 26450, 1245, 334, 267, 513, 9380, 528, 267, 945, 1019, 454, 2704, 5362, 24553, 2704, 5362, 24553, 4985, 12540, 4958, 2311, 6229, 513, 1279, 942, 9976, 2278, 267, 814, 1034, 5063, 3370, 1325, 5362, 24553, 269, 2311, 6229, 814, 3144, 513, 1114, 1935, 547, 713, 3209, 269, 4014, 14070, 713, 1650, 814, 1044, 1759, 593, 4641, 269, 24553, 29485, 267, 519, 1292, 1915, 568, 8197, 267, 593, 540, 519, 4571, 32732, 8696, 7366, 1034, 4583, 20737, 269, 2701, 729, 519, 9976, 5636, 664, 540, 519, 918, 4883, 792, 5336, 2632, 25081, 15294, 619, 269, 901, 3209, 814, 513, 17512, 881, 2631, 540, 9814, 855, 849, 2614, 1719, 547, 4497, 519, 5467, 883, 922, 3140, 12416, 0, 296, 6415, 3206, 540, 513, 13551, 609, 606, 1858, 540, 476, 2190, 269, 1548, 1223, 922, 15943, 581, 888, 2791, 723, 513, 476, 1321, 676, 476, 280, 3723, 24095, 609, 606, 476, 279, 676, 476, 272, 3723, 8559, 4010, 538, 519, 1647, 269, 12338, 519, 24095, 883, 1079, 4773, 547, 1118, 513, 476, 1015, 676, 476, 1015, 3723, 4009, 24095, 563, 15275, 673, 10945, 540, 2427, 835, 1770, 2270, 930, 10580, 26484, 4544, 269, 769, 799, 540, 519, 2185, 1806, 568, 519, 26484, 1858, 6574, 888, 4692, 596, 1265, 25965, 1141, 519, 1871, 540, 519, 1858, 568, 519, 1482, 607, 519, 1871, 540, 519, 15943, 888, 28139, 326, 976, 6537, 593, 4009, 12297, 1399, 1957, 723, 15956, 593, 741, 15943, 630, 335, 264, 543, 1419, 4835, 630, 328, 264, 3283, 607, 1134, 269, 4855, 513, 2078, 1063, 533, 267, 1775, 543, 519, 1858, 540, 519, 29977, 563, 1607, 2376, 267, 2854, 585, 3610, 267, 11828, 519, 26350, 540, 1114, 5686, 540, 2200, 281, 1346, 799, 4125, 3408, 543, 1346, 799, 8998, 593, 9819, 563, 1692, 666, 596, 1689, 519, 1858, 540, 513, 3337, 855, 1832, 922, 15943, 519, 1482, 286, 1215, 666, 596, 1689, 519, 15943, 855, 1832, 519, 1858, 519, 1482, 888, 2005, 781, 2653, 547, 960, 856, 519, 2127, 540, 1034, 10945, 602, 649, 2743, 267, 855, 1018, 952, 789, 941, 21266, 1540, 888, 306, 2438, 597, 3380, 616, 6537, 593, 519, 5011, 540, 513, 13551, 13235, 291, 269, 589, 5858, 8429, 998, 2798, 13235, 291, 1286, 1407, 856, 2185, 524, 29266, 11057, 4525, 269, 28171, 602, 519, 2040, 540, 519, 2127, 540, 519, 2185, 524, 637, 30105, 568, 3160, 547, 269, 1547, 1547, 4586, 2304, 2534, 585, 1164, 27408, 8877, 6267, 799, 3322, 1818, 513, 1007, 12718, 689, 513, 21312, 8546, 563, 4692, 596, 12366, 1047, 519, 1858, 2139, 547, 513, 21737, 23820, 888, 288, 5858, 609, 519, 8953, 540, 476, 273, 269, 273, 1298, 22015, 637, 568, 6537, 15700, 519, 5011, 540, 513, 4009, 269, 1548, 1858, 540, 519, 4009, 568, 10691, 4988, 676, 519, 5858, 888, 4692, 596, 960, 856, 519, 1858, 540, 519, 6418, 4009, 543, 2285, 606, 7778, 540, 875, 596, 1705, 621, 888, 1432, 616, 519, 2127, 540, 891, 12730, 286, 1548, 798, 596, 5469, 286, 2052, 596, 2489, 1047, 547, 824, 834, 325, 7056, 625, 257, 540, 12730, 888, 288, 4305, 799, 5673, 593, 2818, 540, 519, 1895, 711, 6005, 519, 2115, 540, 1866, 543, 14775, 563, 32056, 633, 513, 4542, 585, 4466, 519, 1858, 540, 1022, 30866, 563, 29991, 519, 2698, 26484, 1858, 540, 519, 1412, 330, 1170, 532, 12730, 23823, 2252, 596, 723, 1152, 476, 2412, 15432, 540, 535, 9760, 2139, 267, 1018, 568, 519, 5021, 1858, 540, 2244, 596, 666, 20545, 1055, 888, 1432, 8454, 540, 519, 4102, 5858, 616, 519, 1079, 26484, 4525, 888, 7069, 7403, 723, 3893, 782, 795, 14217, 909, 256, 4210, 777, 873, 1472, 543, 1294, 952, 596, 666, 1265, 513, 4999, 1141, 1169, 6482, 568, 4570, 563, 288, 2699, 4009, 543, 513, 4544, 4009, 16937, 865, 602, 519, 7944, 540, 519, 2699, 4009, 26520, 593, 519, 8998, 540, 519, 4544, 4009, 269, 8058, 602, 267, 8726, 519, 10066, 540, 519, 2699, 4009, 267, 621, 6227, 513, 10116, 540, 519, 269, 1547, 1547, 4586, 288, 10689, 3118, 6989, 568, 512, 6150, 543, 1142, 22739, 568, 835, 3723, 4009, 269, 9717, 602, 519, 1297, 540, 17981, 1472, 519, 15943, 568, 12327, 16898, 14877, 3368, 519, 2698, 1297, 540, 17981, 267, 1265, 519, 2009, 7516, 540, 519, 10689, 3118, 563, 4692, 596, 1265, 519, 1858, 540, 513, 25521, 3989, 676, 1079, 10321, 888, 5970, 513, 979, 693, 2870, 891, 2592, 1759, 593, 10580, 269, 1548, 798, 596, 5469, 827, 519, 2127, 540, 519, 1114, 6810, 888, 20059, 580, 622, 519, 1114, 2081, 540, 5969, 513, 9985, 9764, 2650, 883, 3160, 4773, 1210, 4010, 476, 274, 11912, 269, 634, 11912, 723, 547, 581, 2059, 22334, 540, 519, 5858, 630, 6518, 1522, 581, 5603, 4394, 1916, 19352, 930, 568, 30801, 12730, 609, 606, 1858, 540, 1269, 280, 259, 9492, 259, 317, 273, 259, 543, 513, 14584, 693, 630, 736, 267, 736, 1040, 1403, 782, 519, 14622, 1590, 723, 2898, 1297, 10974, 267, 875, 1082, 568, 621, 2009, 547, 2721, 888, 1432, 4523, 547, 519, 1858, 543, 4320, 540, 476, 273, 291, 543, 476, 274, 291, 5546, 950, 596, 23822, 873, 888, 13014, 606, 5216, 676, 5216, 4009, 267, 519, 11768, 568, 519, 1482, 607, 513, 21802, 4580, 269, 1411, 666, 1820, 856, 543, 946, 519, 4009, 2630, 269, 1548, 568, 519, 1858, 540, 519, 4009, 286, 19147, 519, 4009, 538, 519, 1259, 3254, 676, 519, 2699, 546, 14414, 269, 1547, 1547, 4586, 18439, 835, 540, 891, 2947, 5961, 563, 32622, 623, 267, 1627, 267, 681, 543, 590, 1142, 7941, 519, 5011, 9474, 267, 7460, 267, 7131, 543, 21096, 6606, 538, 519, 5223, 540, 476, 273, 2433, 476, 272, 269, 15012, 519, 2798, 269, 1548, 568, 519, 1858, 540, 519, 25521, 623, 304, 11965, 538, 6935, 547, 519, 3312, 13551, 888, 10048, 3011, 20445, 991, 547, 6922, 1047, 519, 2179, 540, 1570, 1031, 547, 1118, 741, 1587, 269, 1548, 568, 519, 1655, 3444, 16687, 585, 513, 8937, 614, 888, 20059, 580, 622, 875, 713, 4806, 540, 10945, 5170, 269, 1411, 1223, 2268, 13080, 267, 2127, 543, 7285, 563, 4692, 596, 1397, 602, 596, 666, 2671, 513, 4009, 16741, 8449, 1063, 1079, 1004, 676, 5969, 621, 2185, 2053, 1210, 7299, 267, 8880, 543, 15497, 11912, 998, 1022, 1448, 3330, 519, 4009, 888, 288, 13486, 540, 10945, 568, 3710, 3330, 513, 1318, 2587, 1194, 568, 30801, 6906, 269, 634, 4102, 4009, 6763, 593, 519, 30494, 269, 1548, 6824, 540, 519, 1858, 540, 519, 6906, 568, 4988, 676, 519, 3126, 540, 10945, 888, 1607, 3337, 13408, 2185, 10859, 2275, 597, 3380, 269, 1548, 568, 519, 2078, 1063, 519, 1858, 540, 519, 26484, 3148, 543, 519, 1858, 540, 519, 5858, 593, 9474, 607, 8006, 888, 10287, 519, 5528, 543, 596, 666, 1491, 513, 13551, 267, 2759, 621, 883, 476, 275, 4773, 267, 1167, 731, 1079, 1507, 12730, 267, 2322, 1927, 519, 6967, 1079, 4773, 543, 1439, 909, 609, 513, 13551, 519, 1482, 2450, 269, 8347, 621, 2336, 3682, 557, 602, 513, 6906, 609, 5011, 540, 3259, 476, 276, 267, 476, 276, 543, 476, 277, 814, 519, 1482, 1858, 607, 513, 6906, 609, 5011, 540, 3259, 476, 276, 267, 476, 276, 543, 476, 279, 269, 4855, 824, 8424, 540, 1875, 2275, 784, 745, 550, 568, 30801, 12730, 799, 723, 3160, 2127, 563, 763, 32377, 540, 513, 25671, 1756, 7941, 621, 883, 2185, 2694, 269, 2052, 596, 1711, 513, 25671, 1756, 1141, 1614, 540, 1346, 2694, 616, 3160, 538, 1858, 888, 3674, 621, 2009, 547, 4894, 4557, 1770, 18695, 689, 513, 476, 274, 676, 476, 274, 676, 476, 274, 13306, 1500, 689, 476, 2767, 1770, 18695, 865, 602, 519, 2627, 1858, 540, 519, 6967, 4396, 568, 519, 1482, 607, 519, 2627, 1858, 540, 519, 3312, 476, 274, 676, 476, 274, 676, 476, 274, 269, 1547, 1547, 4586, 288, 1246, 5346, 2534, 547, 570, 3796, 538, 519, 12567, 563, 2710, 596, 917, 875, 547, 1265, 519, 1858, 540, 513, 6906, 286, 1411, 666, 1293, 519, 10945, 269, 1548, 4523, 952, 649, 2490, 519, 6906, 593, 1439, 286, 4964, 519, 7735, 543, 1294, 269, 8347, 10203, 519, 1297, 540, 4559, 538, 519, 6906, 1631, 269, 1547, 1547, 4586 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1152, 2899, 630, 514, 476, 1001, 275, 282, 4137, 476, 277, 320, 1040, 6176, 689, 938, 838, 27681, 6908, 3308, 12220, 6920, 838, 27681, 2759, 628, 9130, 29607, 2338, 723, 7283, 1360, 1970, 936, 519, 2250, 8717, 269, 4014, 972, 814, 1044, 513, 13581, 2333, 538, 519, 2949, 1297, 540, 3165, 4767, 538, 891, 12535, 267, 649, 616, 1869, 2630, 519, 5551, 2175, 540, 476, 2412, 630, 16149, 776, 3804, 264, 547, 476, 2568, 630, 27146, 776, 3804, 264, 2759, 628, 9130, 29607, 4767, 829, 6908, 3643, 2066, 782, 476, 1556, 29815, 2456, 630, 29664, 476, 277, 321, 1040, 6684, 267, 29598, 540, 2759, 628, 9130, 29607, 4080, 676, 2587, 6840, 723, 2799, 267, 855, 616, 1869, 2630, 519, 5551, 2175, 540, 476, 272, 269, 276, 630, 16149, 776, 3804, 264, 543, 476, 273, 269, 271, 630, 27146, 776, 3804, 264, 2759, 628, 9130, 29607, 829, 5662, 630, 29664, 476, 277, 322, 1916, 24145, 1155, 24764, 297, 2158, 267, 681, 6185, 1421, 681, 9950, 269, 717, 816, 6202, 267, 667, 9950, 269, 20388, 902, 267, 590, 8160, 269, 11676, 516, 19816, 267, 543, 808, 6185, 269, 24430, 2917, 269, 476, 2735, 271, 269, 17384, 344, 543, 12748, 2359, 1982, 538, 31803, 2817, 5244, 269, 14502, 7797, 476, 3192, 280, 269, 772, 2529, 269, 12551, 543, 13812, 6796, 267, 31803, 2817, 5244, 267, 29131, 267, 7330, 563, 298, 334, 601, 267, 570, 8160, 1421, 623, 269, 8262, 601, 578, 267, 623, 6185, 269, 1684, 788, 651, 267, 645, 6185, 269, 661, 4135, 601, 267, 543, 667, 11482, 269, 10067, 3415, 269, 476, 1220, 276, 269, 6348, 333, 894, 10720, 29607, 1267, 538, 31803, 2759, 628, 9130, 29607, 7771, 543, 5222, 547, 12217, 543, 2587, 6840, 269, 30656, 476, 1789, 281, 1015, 268, 866, 563, 298, 334, 601, 267, 570, 8160, 1421, 808, 11482, 269, 28199, 267, 623, 9950, 269, 8262, 601, 578, 267, 543, 631, 9950, 269, 681, 7795, 331, 269, 476, 1001, 271, 269, 7111, 3165, 5726, 1544, 269, 7025, 4879, 267, 5412, 476, 1626, 267, 476, 1001, 271, 269, 2817, 5244, 6796, 267, 772, 2529, 269, 4972, 540, 519, 25181, 267, 31803, 2817, 5244, 267, 29131, 267, 7330, 563, 3725, 514, 28496, 267, 667, 10422, 269, 476, 1960, 271, 269, 717, 686, 3960, 569, 7703, 7226, 946, 593, 2759, 628, 9130, 29607, 838, 27681, 12535, 538, 29815, 2456, 540, 31803, 8235, 269, 19080, 269, 23497, 3557, 2160, 267, 4425, 345, 17507, 267, 23497, 267, 7330, 563, 306, 903, 5979, 267, 808, 8160, 1421, 595, 2529, 269, 24053, 267, 808, 11482, 269, 28199, 267, 570, 8160, 269, 25391, 601, 267, 543, 645, 6185, 269, 661, 4135, 601, 269, 476, 1001, 275, 269, 9208, 5665, 5773, 585, 3892, 2121, 1154, 538, 31803, 8235, 269, 772, 2529, 269, 24959, 11752, 267, 23497, 31913, 17384, 344, 3194, 5149, 267, 4972, 540, 17905, 267, 23497, 3557, 2160, 267, 4425, 345, 17507, 267, 23497, 267, 7330, 563, 306, 903, 5979, 267, 808, 8160, 269, 476, 1001, 276, 269, 18868, 540, 31803, 2759, 628, 9130, 29607, 543, 10720, 29607, 538, 519, 31803, 8235, 5117, 281, 513, 2013, 1353, 585, 519, 14498, 543, 2359, 540, 1875, 28921, 24991, 269, 19837, 10488, 269, 4972, 540, 17905, 267, 23497, 3557, 2160, 267, 4425, 345, 17507, 267, 23497, 267, 7330, 269, 0, 7069, 3689, 681, 9655, 25300, 534, 1695, 4595, 2274, 3058, 18179, 6014, 18321, 454, 1432, 779, 609, 782, 713, 21458, 286, 932, 817, 573, 880, 267, 21637, 267, 7073, 18179, 267, 18179, 888, 1692, 17194, 543, 8567, 5262, 518, 593, 519, 22731, 16429, 454, 7775, 628, 13454, 6014, 6138, 13408, 519, 10952, 543, 24396, 10752, 540, 18179, 17194, 269, 9282, 18179, 17194, 12034, 3294, 607, 519, 25752, 540, 2757, 14558, 28649, 17194, 267, 519, 1459, 6377, 3350, 568, 2219, 547, 723, 1101, 4646, 538, 519, 3735, 476, 1240, 628, 2540, 267, 5631, 538, 5114, 547, 519, 6014, 31414, 543, 519, 2208, 540, 519, 670, 2532, 531, 1695, 543, 21637, 5322, 269, 18179, 6014, 6138, 4145, 3294, 609, 16208, 2757, 6014, 2959, 267, 11028, 4290, 532, 519, 6014, 5132, 609, 519, 2242, 538, 519, 2413, 1158, 543, 519, 3350, 781, 3347, 609, 519, 3557, 540, 5840, 543, 824, 6014, 29559, 563, 18439, 2796, 1302, 1644, 3381, 2984, 538, 513, 1007, 3750, 2275, 10248, 1259, 269, 8347, 10395, 3122, 1631, 256, 0, 1607, 1164, 10892, 13514, 3606, 2042, 547, 707, 2168, 1072, 269, 634, 811, 4568, 10057, 267, 519, 2362, 519, 4220, 540, 3384, 8650, 610, 5312, 2168, 610, 2790, 4576, 269, 30586, 267, 519, 19692, 596, 3343, 2126, 267, 519, 1732, 1279, 3856, 2168, 1072, 19773, 338, 616, 269, 2060, 1312, 29015, 543, 3075, 8213, 267, 519, 811, 596, 946, 513, 6219, 267, 519, 2362, 707, 10892, 3587, 563, 268, 2368, 1004, 723, 1152, 7646, 19140, 2589, 267, 1247, 1866, 723, 4049, 563, 268, 3763, 513, 10892, 547, 4568, 936, 942, 267, 2495, 789, 991, 1360, 1804, 5666, 540, 4568, 547, 1831, 883, 343, 5344, 563, 268, 589, 1268, 949, 581, 2111, 547, 4235, 8185, 543, 1419, 585, 1279, 5712, 267, 855, 29015, 786, 5555, 6952, 909, 547, 2576, 945, 3954, 625, 741, 2783, 563, 268, 589, 24468, 2337, 5965, 1169, 1268, 585, 741, 851, 538, 519, 6304, 563, 268, 1703, 616, 1082, 2081, 602, 596, 666, 948, 606, 23931, 1920, 4759, 563, 268, 5269, 621, 2312, 547, 1864, 602, 596, 786, 711, 1489, 741, 6704, 610, 14432, 5615, 267, 543, 596, 786, 711, 2671, 538, 519, 4539, 563, 10144, 945, 616, 1164, 1922, 4233, 532, 4568, 923, 666, 581, 936, 20813, 1211, 827, 741, 2702, 547, 798, 4247, 1247, 896, 519, 3310, 540, 4568, 269, 1411, 949, 7500, 12227, 610, 5397, 1310, 6704, 267, 8380, 707, 1272, 543, 519, 2729, 540, 1866, 538, 8594, 269, 898, 779, 1271, 547, 917, 602, 1498, 596, 4076, 2919, 513, 10892, 547, 4568, 267, 707, 1973, 4568, 5834, 3788, 24240, 676, 875, 1454, 596, 4235, 269, 4634, 1498, 596, 949, 711, 1745, 607, 26583, 267, 707, 27790, 568, 1869, 6531, 539, 267, 543, 596, 786, 1869, 7985, 29298, 899, 3478, 513, 667, 21397, 952, 596, 2461, 15504, 936, 1247, 6117, 26583, 269, 8033, 5224, 547, 4235, 5103, 6616, 602, 596, 723, 513, 2168, 610, 2790, 1072, 2152, 1644, 547, 707, 4568, 946, 269, 1358, 1491, 1416, 540, 741, 3885, 267, 2141, 2628, 741, 12014, 267, 543, 2057, 8373, 609, 519, 1876, 563, 4462, 640, 19884, 2657, 267, 30767, 18401, 4741, 1656, 19884, 2657, 15544, 5620, 3117, 13521, 730, 2336, 3080, 2601, 1946, 713, 1106, 540, 4568, 6057, 19330, 1382, 568, 1317, 1082, 1004, 20912, 602, 789, 723, 513, 1966, 543, 10714, 5275, 948, 269, 2659, 3460, 786, 2154, 513, 15400, 7029, 547, 9363, 865, 828, 269, 1924, 2899, 596, 2347, 606, 538, 18345, 610, 30229, 1982, 267, 596, 3580, 991, 1569, 547, 5571, 1489, 269, 20492, 899, 15850, 923, 32088, 543, 785, 1339, 13508, 616, 5140, 1489, 3681, 563, 763, 1715, 3840, 8648, 5359, 602, 607, 1082, 607, 3368, 540, 782, 1346, 32626, 29015, 949, 581, 9286, 607, 1164, 1922, 4233, 532, 4568, 923, 610, 670, 293, 2026, 269, 2755, 621, 779, 3020, 602, 8647, 4568, 923, 666, 14133, 538, 930, 2127, 540, 1272, 267, 713, 3085, 1406, 1611, 602, 789, 616, 2808, 3811, 267, 6325, 267, 610, 3743, 538, 824, 2127, 269, 4256, 5230, 4568, 4616, 949, 1611, 789, 4413, 1271, 2621, 609, 2828, 543, 1920, 269, 589, 1164, 1922, 4233, 532, 23931, 568, 2693, 547, 581, 26583, 610, 8288, 1478, 513, 2603, 540, 519, 942, 563, 23804, 519, 1318, 1935, 949, 1611, 519, 3017, 1063, 707, 6068, 835, 3478, 2126, 543, 11666, 5224, 547, 4235, 9188, 3145, 519, 4539, 269, 12333, 8213, 2126, 1298, 2075, 534, 948, 513, 7008, 1205, 547, 519, 3597, 540, 519, 6704, 1966, 543, 2322, 519, 2078, 1394, 593, 3950, 269, 15850, 946, 4524, 2073, 799, 568, 30351, 6053, 1572, 29015, 267, 2882, 519, 17418, 547, 1852, 6704, 5103, 513, 2942, 1764, 593, 960, 543, 3347, 269, 898, 568, 2182, 547, 1294, 519, 4191, 540, 6198, 29015, 538, 1346, 14191, 547, 596, 269, 4804, 811, 827, 1164, 1922, 4233, 532, 29015, 568, 519, 1101, 1900, 538, 1620, 875, 547, 948, 596, 610, 707, 6068, 835, 563, 1432, 12793, 3657, 1452, 9537, 2986, 15850, 923, 589, 1076, 1677, 19793, 557, 888, 28058, 1227, 267, 585, 606, 1367, 547, 581, 8995, 609, 4568, 6057, 4524, 789, 1590, 2743, 1978, 7355, 267, 610, 538, 824, 1913, 267, 789, 1590, 4159, 1978, 2589, 269, 5015, 267, 4568, 946, 4524, 568, 9286, 676, 10335, 607, 7646, 2073, 9793, 2073, 610, 4049, 1547, 5015, 267, 4568, 6057, 949, 1413, 1114, 585, 1114, 2043, 563, 268, 1284, 666, 849, 7520, 7459, 543, 948, 1921, 596, 547, 824, 12391, 4648, 563, 268, 634, 2165, 834, 10818, 531, 23931, 257, 568, 8185, 23503, 538, 519, 8213, 2146, 267, 855, 621, 781, 851, 540, 519, 1514, 31546, 15066, 865, 621, 781, 3407, 547, 1865, 519, 1455, 20887, 563, 268, 898, 568, 1271, 547, 1174, 602, 891, 1004, 779, 10781, 616, 12236, 538, 19220, 540, 267, 543, 711, 1317, 540, 267, 4568, 946, 563, 288, 3782, 3318, 949, 849, 1931, 1973, 4255, 547, 2638, 519, 2360, 540, 4568, 593, 513, 1268, 779, 1072, 267, 585, 1383, 267, 741, 6797, 267, 543, 1376, 519, 3617, 5574, 269, 769, 4049, 2665, 267, 4568, 15639, 666, 2014, 8611, 267, 17465, 267, 26390, 5209, 267, 989, 2787, 267, 543, 10539, 269, 901, 1106, 540, 15639, 568, 17941, 1642, 597, 1756, 12152, 839, 543, 666, 2014, 2800, 547, 1346, 945, 3801, 547, 16718, 6704, 1510, 1697, 2126, 563, 763, 17714, 7982, 1677, 8682, 281, 1215, 1677, 18461, 28514, 6736, 589, 700, 3437, 2290, 781, 24251, 454, 3383, 621, 949, 1413, 899, 596, 1152, 1185, 513, 1906, 10425, 267, 855, 538, 4641, 267, 596, 8910, 2907, 1185, 7466, 607, 1454, 1354, 21945, 269, 901, 14229, 21294, 6704, 30417, 7391, 827, 7050, 4568, 946, 609, 2828, 543, 1920, 2818, 269, 1403, 596, 7985, 689, 4568, 946, 4524, 267, 15720, 4568, 543, 14084, 827, 875, 1454, 596, 4076, 1185, 547, 4235, 616, 5929, 4191, 540, 513, 1966, 269, 901, 1129, 540, 1164, 1922, 4233, 532, 29015, 666, 581, 2938, 538, 3025, 609, 513, 5230, 6704, 3390, 267, 711, 1175, 1346, 945, 1599, 1134, 269, 1306, 5941, 1657, 267, 621, 779, 711, 2141, 2653, 547, 5544, 952, 513, 6068, 835, 568, 513, 1164, 1922, 4233, 532, 23931, 269, 1403, 596, 3494, 789, 2461, 6029, 4191, 540, 1373, 513, 1164, 1922, 4233, 532, 23931, 267, 596, 949, 581, 11842, 1018, 779, 519, 1655, 1259, 547, 1935, 971, 513, 6213, 3510, 269, 2290, 540, 519, 1655, 2081, 547, 1935, 519, 1641, 568, 547, 2015, 2348, 513, 18367, 543, 1930, 4901, 827, 519, 1764, 540, 741, 4568, 946, 563, 10144, 945, 4235, 8185, 585, 1296, 593, 1439, 2333, 741, 1981, 540, 3384, 1978, 11871, 543, 6797, 2068, 269, 26243, 267, 513, 1164, 1922, 4233, 532, 23931, 568, 513, 1268, 945, 568, 29279, 547, 4568, 855, 814, 2943, 547, 2731, 7985, 689, 519, 2942, 4539, 540, 741, 6704, 269, 589, 1164, 1922, 4233, 532, 23931, 949, 1995, 930, 4539, 1644, 547, 741, 6704, 267, 855, 789, 616, 711, 2614, 547, 3970, 741, 2702, 547, 2226, 741, 9021, 269, 11554, 4568, 923, 666, 1869, 3180, 1524, 513, 2816, 543, 7654, 14133, 538, 602, 2816, 269, 1358, 849, 4043, 547, 2057, 3656, 543, 1514, 29854, 540, 6704, 267, 693, 2547, 585, 513, 1247, 563, 2026, 21013, 29263, 936, 519, 1985, 1906, 1296, 267, 1010, 6704, 6238, 547, 2333, 269, 1261, 779, 9310, 1010, 2852, 6653, 24711, 267, 543, 789, 2461, 24584, 741, 1101, 1126, 269, 1809, 782, 568, 711, 1134, 267, 543, 2699, 17514, 540, 4568, 946, 4524, 1376, 547, 1402, 909, 2451, 543, 1318, 269, 1261, 779, 1185, 547, 4308, 609, 1082, 20286, 538, 519, 5604, 827, 1010, 2191, 543, 6704, 593, 519, 2816, 563, 288, 4364, 673, 19140, 4099, 666, 927, 874, 662, 1922, 4233, 532, 4568, 923, 9108, 543, 20354, 19140, 269, 5015, 267, 538, 18345, 11222, 543, 835, 6823, 14633, 3797, 7886, 543, 1489, 689, 6068, 3283, 616, 2565, 585, 1818, 513, 2407, 6051, 269, 1403, 596, 610, 513, 3659, 616, 7092, 689, 1164, 1922, 4233, 532, 29015, 543, 4568, 13829, 267, 3717, 547, 513, 13931, 13309, 2221, 543, 1205, 519, 15276, 596, 991, 547, 7753, 8213, 269, 20290, 476, 2641, 2929, 4892, 7985, 689, 693, 2547, 835, 8213, 267, 1247, 1152, 476, 1015, 2600, 3343 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1505, 1141, 513, 1769, 2287, 8665, 610, 20004, 568, 4294, 676, 1688, 267, 27789, 621, 5196, 1808, 6810, 540, 4552, 269, 901, 5932, 513, 2067, 23302, 13506, 1198, 609, 29779, 1036, 9512, 3515, 3379, 547, 2757, 23240, 8711, 780, 1262, 294, 1430, 12708, 27294, 12533, 2414, 2253, 267, 2445, 519, 1739, 3688, 1384, 265, 589, 8348, 16045, 609, 4158, 23469, 4552, 630, 933, 3513, 3277, 547, 873, 607, 519, 834, 743, 1304, 5602, 265, 589, 2973, 29683, 609, 1434, 8654, 454, 265, 1290, 13025, 27939, 585, 1312, 596, 543, 519, 7817, 454, 265, 13363, 633, 10591, 912, 453, 266, 3794, 7174, 630, 3697, 6094, 267, 8465, 3382, 902, 585, 3946, 994, 453, 266, 7442, 1258, 610, 1309, 701, 630, 320, 1216, 15033, 28630, 547, 13104, 7802, 994, 265, 7822, 2472, 912, 453, 266, 8752, 10273, 610, 6926, 778, 630, 320, 3114, 3070, 547, 1769, 523, 4552, 994, 453, 266, 29139, 518, 630, 534, 18593, 1587, 547, 4188, 519, 3803, 12094, 994, 453, 266, 3763, 518, 630, 320, 5277, 1437, 1807, 585, 519, 1769, 10273, 994, 265, 13335, 2645, 912, 453, 266, 5696, 2313, 630, 320, 1907, 609, 2571, 1490, 30178, 1031, 585, 7311, 2472, 994, 453, 266, 30558, 630, 320, 8708, 585, 11544, 2472, 2020, 1262, 3721, 476, 273, 281, 16259, 519, 1849, 1304, 12533, 10817, 728, 519, 7817, 547, 1694, 20354, 267, 6849, 2476, 689, 1022, 1463, 7943, 269, 3550, 519, 11381, 610, 22454, 2636, 2653, 1569, 547, 741, 2212, 780, 23737, 519, 1184, 543, 2626, 1022, 2055, 789, 1522, 723, 269, 12706, 3972, 676, 1373, 7874, 267, 3461, 267, 543, 15260, 1005, 269, 1411, 666, 2161, 1945, 899, 1384, 257, 15916, 256, 594, 6415, 9599, 547, 948, 596, 3035, 513, 4190, 1025, 27475, 2545, 599, 720, 1413, 269, 7490, 6001, 267, 543, 594, 3513, 1491, 1416, 540, 3388, 269, 1403, 596, 1745, 13943, 693, 1022, 1448, 267, 1810, 1405, 19292, 547, 1577, 803, 917, 3010, 1262, 3721, 476, 274, 281, 8791, 532, 12533, 4089, 532, 3322, 12270, 519, 7817, 781, 4552, 883, 4130, 2127, 547, 960, 593, 14350, 269, 2422, 24056, 630, 20791, 3457, 602, 3180, 4552, 538, 1747, 264, 547, 5094, 519, 1283, 3296, 689, 519, 5377, 269, 1849, 760, 909, 519, 1283, 6712, 267, 6028, 519, 2539, 3368, 3015, 780, 5331, 8066, 513, 19619, 540, 18683, 1107, 9900, 9787, 519, 1283, 3296, 540, 4552, 1063, 707, 14853, 543, 4994, 9416, 267, 1287, 5150, 621, 609, 513, 17157, 269, 19244, 713, 1184, 2394, 596, 4312, 5258, 519, 3003, 2212, 540, 4552, 883, 2185, 1292, 6810, 281, 1079, 538, 4395, 630, 3847, 543, 1318, 1070, 543, 1079, 538, 1394, 630, 3847, 543, 1318, 6393, 1262, 3721, 476, 275, 281, 17186, 519, 8752, 10273, 12533, 1103, 519, 12826, 267, 9192, 519, 1769, 10273, 543, 17354, 2687, 547, 519, 10672, 781, 5528, 269, 634, 5223, 786, 4268, 4470, 593, 519, 6216, 543, 1826, 540, 2472, 596, 2811, 1210, 269, 6056, 540, 713, 7848, 607, 513, 2027, 1494, 542, 602, 786, 2981, 519, 7817, 781, 4552, 2439, 2690, 1383, 267, 596, 1522, 3575, 835, 851, 1769, 10273, 609, 1079, 2694, 17354, 269, 11408, 1246, 3106, 4808, 950, 7829, 6464, 267, 543, 1118, 2386, 547, 5957, 17309, 547, 2149, 707, 2960, 780, 1262, 3721, 476, 276, 281, 15233, 519, 8752, 10273, 12533, 291, 760, 519, 11453, 883, 519, 6404, 1769, 10273, 267, 530, 31441, 1055, 4430, 1996, 519, 26079, 540, 519, 12826, 269, 15579, 519, 11453, 19794, 936, 519, 1101, 3296, 540, 4552, 267, 4358, 2282, 519, 5072, 630, 3602, 519, 4552, 10742, 519, 21435, 1040, 28528, 5862, 519, 1769, 10273, 5196, 519, 4552, 14788, 338, 267, 2324, 707, 1259, 1524, 4724, 519, 7475, 780, 8196, 5347, 267, 1256, 18116, 267, 3592, 899, 7206, 513, 20100, 269, 2142, 18762, 711, 547, 16937, 5892, 13556, 2127, 267, 607, 713, 1223, 1291, 547, 19514, 2164, 269, 15566, 7311, 519, 1769, 10273, 547, 1142, 3296, 267, 2324, 1472, 519, 2212, 538, 513, 9266, 5311, 780, 1262, 3721, 476, 277, 281, 6713, 543, 7033, 532, 12533, 2704, 869, 519, 1769, 10273, 547, 1184, 896, 4055, 2837, 2175, 630, 19925, 476, 736, 268, 1839, 9180, 270, 6924, 268, 6507, 13790, 264, 585, 5111, 476, 1789, 268, 3393, 3764, 267, 4470, 593, 519, 5551, 1377, 540, 12740, 269, 4438, 713, 942, 267, 4497, 538, 6643, 609, 519, 7817, 267, 4180, 789, 2611, 6899, 543, 17159, 780, 2791, 666, 10004, 827, 3584, 971, 607, 12348, 267, 5172, 3536, 267, 610, 2307, 1930, 25804, 2055, 547, 5000, 9423, 269, 5901, 606, 3750, 593, 519, 4393, 942, 267, 21237, 10992, 519, 1646, 540, 519, 1769, 10273, 780, 1262, 3721, 476, 278, 281, 681, 20600, 543, 570, 821, 630, 18893, 1308, 264, 12533, 5475, 519, 5227, 4393, 942, 267, 27125, 856, 519, 1769, 10273, 8499, 609, 3636, 1216, 2394, 519, 1216, 8255, 2312, 269, 1744, 2086, 5622, 519, 7817, 781, 4552, 1210, 513, 9543, 18274, 518, 267, 4553, 676, 513, 5848, 584, 1944, 30690, 780, 2252, 5551, 267, 4019, 513, 9522, 518, 547, 5386, 2389, 2317, 519, 4611, 12094, 269, 29139, 619, 616, 1629, 328, 12656, 2006, 550, 24470, 602, 9243, 1125, 13311, 18565, 610, 1039, 11029, 14246, 11305, 1245, 1145, 547, 519, 1007, 1025, 27475, 27280, 269, 7427, 519, 1482, 3498, 5650, 607, 1354, 267, 855, 946, 1447, 1587, 543, 10156, 4393, 2053, 780, 1262, 3721, 476, 279, 281, 13910, 543, 5685, 5109, 29110, 2583, 12533, 5629, 519, 9522, 518, 630, 604, 1031, 264, 814, 1044, 32092, 539, 856, 267, 24621, 1673, 787, 519, 7817, 781, 4552, 1510, 27012, 25525, 3585, 267, 799, 666, 2014, 11508, 3441, 269, 2422, 513, 2036, 610, 1033, 836, 1782, 11453, 547, 9900, 4894, 8126, 956, 267, 2324, 689, 519, 7475, 16057, 780, 306, 1399, 548, 519, 9241, 9927, 25437, 607, 5551, 267, 5310, 4946, 930, 9403, 610, 4320, 10276, 327, 3496, 838, 7590, 269, 6875, 11348, 538, 8098, 3931, 707, 1688, 328, 1740, 7258, 519, 30590, 7817, 2439, 1262, 23558, 256, 12533, 2791, 4312, 6707, 11461, 519, 7817, 998, 513, 18198, 1025, 27475, 2545, 599, 720, 7004, 269, 4793, 3054, 593, 519, 1394, 630, 528, 13494, 333, 2801, 267, 952, 596, 4782, 14386, 585, 10188, 713, 6946, 1184, 609, 8897, 780, 8855, 547, 2226, 1930, 2792, 2429, 2104, 13341, 267, 6998, 5587, 4328, 2055, 8164, 2877, 269, 2060, 2259, 543, 9639, 267, 596, 3513, 4487, 519, 1148, 540, 2545, 599, 720, 543, 1711, 20605, 688, 1009, 5138, 585, 1346, 1472, 596, 780, 3086, 267, 979, 8521, 543, 3262, 7772, 998, 519, 9059, 540, 688, 1009, 344, 1782, 256, 0, 2237, 513, 1279, 543, 1360, 2143, 5850, 593, 834, 2710, 2349, 27475, 7195, 599, 720, 257, 538, 519, 2511, 540, 14392, 547, 606, 9813, 3957, 7705, 945, 1175, 15354, 593, 3047, 543, 814, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 782, 519, 2596, 1344, 827, 519, 2168, 543, 1480, 4205, 3238, 269, 1684, 711, 1289, 7705, 606, 9813, 269, 0, 3848, 7170, 281, 10162, 2130, 3414, 6181, 1742, 281, 4197, 519, 8836, 19043, 543, 23205, 16161, 540, 570, 22061, 692, 5970, 596, 2479, 4862, 519, 9661, 540, 519, 12703, 19036, 945, 887, 1372, 883, 519, 4104, 593, 1010, 3972, 344, 2848, 539, 267, 1152, 547, 7237, 513, 22800, 20259, 286, 2107, 5310, 596, 4312, 1224, 827, 10971, 543, 15831, 525, 609, 20259, 26145, 13556, 5196, 741, 2960, 267, 29544, 1379, 543, 4222, 286, 10801, 1686, 267, 2984, 899, 891, 723, 7902, 942, 543, 1586, 267, 15386, 1175, 875, 1271, 27683, 723, 1044, 538, 1585, 4529, 1472, 519, 1158, 269, 2913, 721, 3460, 1927, 998, 7733, 4904, 609, 4241, 12563, 2145, 525, 543, 1451, 827, 1946, 27683, 3180, 971, 2686, 4644, 2439, 8512, 594, 281, 589, 13804, 881, 550, 6282, 675, 17778, 20553, 519, 20128, 2775, 692, 20058, 267, 1577, 721, 6338, 6000, 547, 938, 5182, 910, 519, 20259, 256, 19612, 585, 922, 4190, 10538, 10359, 24224, 609, 3109, 26145, 267, 621, 568, 5963, 513, 8289, 547, 1531, 1245, 950, 21786, 1782, 998, 18932, 3039, 7733, 269, 4706, 2450, 666, 3914, 909, 547, 476, 1724, 3952, 1279, 267, 799, 568, 10199, 3160, 547, 1079, 7555, 2937, 3425, 20898, 2212, 3562, 3562, 324, 256, 5047, 267, 789, 4865, 6909, 22231, 267, 7175, 873, 547, 20014, 9883, 811, 982, 7466, 741, 1378, 1560, 3259, 269, 5994, 17259, 20991, 982, 707, 4463, 1107, 3833, 11141, 8197, 2439, 3086, 4952, 952, 649, 4718, 971, 513, 13442, 30780, 3001, 9624, 4054, 1247, 6217, 9543, 15309, 956, 20690, 2740, 676, 22406, 16563, 282, 9327, 1406, 602, 4734, 606, 30170, 1665, 2390, 938, 8186, 286, 901, 3169, 4743, 814, 6273, 9118, 5159, 267, 5830, 267, 543, 1650, 339, 25527, 2429, 1686, 269, 1280, 3236, 267, 3504, 4457, 1148, 1419, 13269, 27683, 1317, 1004, 5156, 789, 22993, 22838, 543, 10100, 269, 6684, 267, 4095, 13299, 2934, 8941, 1141, 24587, 10924, 3029, 12946, 11696, 331, 1734, 547, 27683, 267, 1129, 4328, 19988, 4971, 543, 4250, 16531, 780, 8512, 4083, 281, 2986, 15552, 1143, 543, 14886, 1222, 692, 1103, 1082, 8109, 2477, 267, 1519, 3624, 267, 3567, 267, 9705, 267, 10476, 267, 3127, 267, 543, 12868, 267, 27683, 4183, 30326, 538, 535, 1963, 543, 1165, 9383, 2803, 269, 10705, 17814, 607, 8797, 2149, 832, 610, 10121, 2828, 267, 891, 2984, 6655, 3407, 4245, 827, 11505, 267, 19969, 267, 543, 2463, 585, 2470, 780, 2690, 1383, 267, 2015, 519, 5545, 10828, 540, 834, 763, 26626, 540, 519, 645, 16656, 12338, 614, 2437, 1141, 513, 9589, 4816, 8004, 19674, 689, 1369, 513, 30437, 19348, 31537, 269, 1879, 1352, 9428, 4587, 267, 1200, 4620, 20259, 9311, 625, 1200, 16382, 1352, 4422, 267, 3246, 26772, 14017, 543, 4027, 2394, 6381, 5094, 873, 269, 16828, 267, 1310, 6849, 1896, 8062, 543, 5513, 2827, 267, 519, 4807, 22653, 2572, 609, 1200, 11537, 13959, 267, 11744, 519, 3768, 3539, 6125, 1063, 1480, 543, 28458, 780, 8512, 8633, 281, 15050, 2103, 540, 18696, 543, 11352, 692, 6624, 7087, 2950, 2543, 27683, 607, 10723, 7919, 3743, 585, 4509, 3666, 538, 1312, 2067, 5054, 543, 1514, 3889, 269, 1358, 3494, 602, 1169, 2460, 540, 519, 7122, 6585, 1648, 267, 6719, 676, 6698, 543, 4191, 269, 9182, 267, 20259, 18305, 4749, 2408, 538, 30060, 7802, 267, 2212, 323, 19843, 267, 543, 824, 5289, 3688, 1813, 547, 741, 9228, 2702, 547, 1921, 3425, 609, 16750, 4229, 780, 3080, 971, 2146, 29084, 2059, 519, 2549, 584, 5211, 16935, 267, 2269, 9536, 1782, 6576, 543, 27040, 3624, 269, 634, 772, 1372, 613, 1004, 10847, 519, 590, 9200, 1014, 20259, 267, 1634, 12725, 607, 1412, 8649, 584, 10086, 5316, 5024, 7067, 7060, 543, 8825, 7907, 547, 621, 269, 1677, 8956, 713, 27527, 267, 789, 1246, 7453, 10122, 3652, 267, 4180, 4264, 30398, 7258, 891, 1036, 531, 535, 3894, 780, 6962, 281, 1323, 7736, 1005, 13507, 540, 5295, 543, 20727, 17965, 692, 5804, 11121, 24123, 3197, 538, 18691, 547, 7674, 607, 900, 21793, 540, 10143, 9988, 267, 27683, 3136, 547, 1404, 1898, 5107, 538, 5935, 2518, 2528, 269, 10251, 267, 7226, 2530, 267, 2916, 1689, 267, 543, 10363, 10122, 21279, 741, 6228, 267, 8380, 693, 1981, 711, 1152, 9265, 855, 849, 938, 3638, 6561, 13615, 547, 891, 15999, 7068, 269, 1635, 1620, 741, 2956, 538, 2486, 543, 5009, 5726, 3646, 267, 2104, 5481, 786, 1869, 14952, 693, 519, 5898, 540, 1483, 3734, 12325, 887, 5446, 1863, 538, 519, 19069, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 307, 22061, 616, 835, 540, 519, 1158, 781, 1034, 11599, 543, 23836, 3552, 2249, 269, 4256, 11495, 5920, 543, 3532, 4527, 723, 26970, 3425, 585, 5553, 269, 1717, 267, 2221, 267, 891, 15999, 7068, 3068, 3875, 6937, 602, 1747, 741, 1360, 6228, 693, 1981, 563, 10666, 513, 2540, 3516, 267, 972, 941, 936, 476, 1911, 267, 1822, 3552, 27683, 2066, 5607, 269, 1809, 713, 1297, 568, 20427, 1114, 2221, 269, 4340, 547, 519, 2622, 13812, 8750, 267, 5176, 476, 9032, 260, 540, 519, 1158, 781, 27683, 723, 1044, 4503, 563, 1607, 24034, 7771, 814, 3366, 547, 519, 8760, 540, 27683, 607, 13155, 676, 519, 4139, 5742, 585, 11094, 540, 7186, 630, 296, 30002, 1040, 634, 3510, 568, 2565, 267, 543, 14849, 2962, 568, 2877, 547, 2327, 519, 6668, 540, 891, 15999, 2831, 563, 2467, 616, 3875, 20259, 6937, 602, 2322, 741, 5095, 693, 1981, 540, 7771, 543, 1256, 14486, 269, 1452, 6937, 616, 5097, 9141, 676, 1480, 2238, 543, 2825, 2242, 543, 1331, 912, 296, 331, 29729, 1093, 2286, 568, 835 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3742, 6283, 609, 2621, 899, 645, 833, 13001, 1729, 13001, 4518, 10432, 267, 3895, 15822, 13705, 525, 547, 12140, 267, 543, 3895, 4882, 335, 976, 528, 17919, 2861, 8265, 2621, 270, 16766, 26055, 269, 630, 3412, 9712, 622, 267, 4975, 270, 7468, 10675, 994, 268, 15566, 519, 1374, 543, 4070, 540, 513, 3102, 31355, 543, 17919, 13009, 1062, 2429, 519, 4975, 630, 18034, 538, 5045, 20933, 2127, 1040, 630, 8469, 1756, 2165, 267, 4975, 270, 6573, 302, 994, 268, 21414, 1764, 540, 1857, 18736, 6753, 543, 12375, 269, 630, 301, 792, 2165, 267, 4975, 994, 14300, 910, 25147, 1022, 11673, 543, 6402, 547, 2013, 2090, 610, 1655, 2853, 602, 616, 1373, 2944, 538, 824, 4872, 543, 1131, 1683, 606, 14745, 540, 930, 270, 1415, 540, 519, 6069, 3527, 563, 268, 1715, 3840, 4975, 12655, 6790, 1115, 18776, 7797, 454, 268, 15043, 25824, 2209, 585, 12655, 543, 700, 22133, 13255, 12020, 454, 268, 30316, 22432, 9215, 590, 19851, 288, 2562, 21764, 13138, 3198, 9915, 18306, 9569, 25783, 19489, 300, 23814, 19294, 3008, 7838, 2464, 454, 268, 18815, 9457, 4643, 630, 307, 6573, 264, 910, 4975, 540, 645, 30629, 267, 12548, 454, 268, 23885, 538, 18289, 281, 4975, 540, 23885, 779, 12655, 18815, 4643, 454, 268, 645, 833, 19457, 538, 519, 2136, 2276, 267, 3557, 540, 6657, 543, 6651, 547, 23840, 454, 268, 623, 29888, 24493, 11272, 27990, 18361, 585, 5398, 932, 1173, 532, 13749, 21118, 338, 454, 268, 20010, 23556, 27990, 5358, 281, 17857, 4975, 267, 17834, 563, 268, 13159, 6790, 1115, 24727, 454, 268, 12655, 20079, 4659, 454, 268, 8881, 12186, 540, 4460, 539, 5288, 269, 1133, 5658, 539, 9061, 19789, 802, 693, 1133, 25049, 16511, 725, 0, 10117, 4672, 2736, 619, 454, 13436, 2093, 2442, 1631, 454, 29557, 3427, 12243, 8490, 20113, 1923, 14271, 7716, 454, 5938, 600, 20671, 2238, 666, 948, 1647, 1153, 1053, 1205, 547, 917, 9905, 945, 12446, 689, 1114, 3119, 3506, 269, 12243, 20671, 5751, 849, 3895, 519, 2565, 3206, 267, 1966, 6061, 267, 22423, 543, 10763, 1983, 2556, 585, 1967, 538, 1164, 1153, 267, 2852, 543, 519, 9036, 269, 0, 293, 756, 668, 9234, 22468, 568, 5631, 4330, 607, 513, 5312, 9854, 4761, 14524, 6794, 267, 950, 11248, 568, 4299, 676, 5778, 339, 22241, 3644, 267, 610, 3968, 269, 3958, 621, 949, 3277, 547, 5312, 9854, 6794, 267, 522, 626, 8686, 12637, 9854, 6794, 543, 11528, 11851, 542, 22166, 2068, 563, 293, 756, 668, 9234, 22468, 568, 849, 1419, 9763, 607, 513, 1106, 540, 15087, 540, 3063, 19603, 7781, 2571, 5160, 267, 6353, 676, 513, 27101, 27556, 30273, 1928, 543, 519, 4527, 540, 1808, 28810, 17567, 2798, 267, 5462, 676, 27621, 566, 269, 14904, 7092, 689, 713, 1950, 4524, 1995, 4965, 267, 723, 4057, 3207, 267, 949, 849, 29153, 827, 8886, 762, 15108, 6794, 267, 5312, 9854, 6794, 267, 838, 2880, 640, 267, 20765, 267, 1964, 1652, 1850, 6794, 269, 16842, 8417, 547, 1928, 267, 1519, 4411, 543, 8631, 1465, 568, 4767, 563, 292, 339, 5735, 543, 31630, 454, 30535, 609, 4017, 668, 9234, 22468, 616, 4299, 609, 1585, 29296, 5563, 971, 607, 669, 31779, 807, 543, 1250, 322, 21182, 2742, 267, 543, 891, 5563, 2049, 609, 1114, 8849, 326, 5362, 543, 5778, 12949, 625, 269, 932, 31779, 807, 666, 9888, 7683, 543, 2014, 6547, 540, 16607, 543, 7525, 28810, 27383, 538, 5312, 9854, 6794, 2550, 269, 17325, 725, 540, 6375, 9999, 540, 2550, 2356, 2829, 602, 519, 2601, 3297, 4017, 668, 9234, 22468, 616, 835, 610, 1896, 5778, 339, 22241, 8290, 563, 3080, 540, 519, 1271, 6127, 540, 5312, 1928, 5250, 538, 4017, 668, 9234, 22468, 568, 519, 7613, 540, 3844, 22740, 1436, 1107, 6127, 540, 5312, 1928, 267, 6353, 676, 519, 1249, 602, 1310, 519, 29696, 540, 3126, 540, 23927, 540, 11213, 15672, 1651, 527, 3512, 619, 267, 513, 1978, 1377, 540, 29835, 3788, 538, 519, 3844, 10444, 11409, 540, 519, 24725, 18057, 543, 713, 2783, 26251, 585, 930, 942, 8238, 558, 3585, 610, 6462, 676, 1360, 1970, 2157, 540, 562, 665, 823, 696, 633, 14242, 269, 901, 5012, 547, 519, 1249, 602, 519, 1624, 675, 1338, 540, 4617, 610, 1875, 1790, 664, 995, 17003, 538, 519, 17911, 18057, 540, 519, 11983, 10260, 568, 9228, 607, 1928, 269, 6239, 22740, 1436, 2242, 519, 4162, 540, 4540, 610, 1016, 628, 11611, 1474, 520, 8328, 1928, 267, 1253, 2176, 543, 4679, 519, 4110, 540, 922, 8515, 267, 8653, 543, 8901, 6708, 269, 1717, 267, 3875, 2090, 7152, 602, 3844, 22740, 1436, 666, 1020, 538, 519, 3844, 8401, 1062, 4713, 1510, 1373, 13020, 958, 8697, 563, 2005, 568, 5693, 1634, 602, 519, 3844, 22740, 1436, 267, 607, 1134, 607, 21556, 540, 519, 27312, 630, 24335, 611, 1066, 21544, 543, 1583, 582, 517, 21544, 264, 7409, 7480, 1852, 540, 1928, 568, 711, 1813, 547, 15672, 2242, 538, 519, 6091, 267, 535, 30913, 553, 267, 28587, 543, 24561, 5160, 267, 855, 607, 513, 1267, 540, 8849, 4713, 538, 519, 3844, 8401, 1062, 538, 2550, 609, 513, 4719, 32739, 267, 4299, 676, 1804, 5666, 540, 630, 874, 9713, 543, 2790, 264, 2566, 269, 25792, 2188, 267, 4929, 519, 1646, 540, 4017, 668, 9234, 22468, 616, 281, 15672, 1928, 25102, 27689, 267, 5563, 267, 2168, 911, 30864, 267, 17867, 8082, 267, 17441, 4713, 630, 1506, 335, 1054, 21633, 1070, 3053, 14613, 267, 10074, 269, 3509, 5626, 2188, 267, 971, 607, 4430, 540, 13657, 267, 19035, 1145, 267, 9568, 1436, 267, 5007, 30580, 540, 1928, 1852, 267, 666, 1404, 606, 1271, 1909, 538, 519, 10335, 540, 4017, 668, 9234, 22468, 2589, 269, 7981, 2090, 723, 3254, 602, 2550, 609, 4017, 668, 9234, 22468, 723, 8519, 1583, 582, 517, 21544, 543, 6862, 611, 1066, 21544, 2534, 269, 898, 729, 849, 1336, 602, 2550, 609, 4017, 668, 9234, 22468, 941, 4767, 609, 513, 6175, 540, 16796, 22515, 543, 922, 24888, 700, 2389, 7973, 2684, 534, 267, 607, 1134, 607, 16715, 540, 519, 1292, 8311, 924, 540, 22515, 538, 519, 6147, 321, 4592, 335, 1400, 5714, 1107, 476, 276, 31622, 32611, 785, 1961, 659, 564, 622, 269, 11671, 6798, 1670, 2963, 602, 4017, 668, 9234, 22468, 568, 513, 2783, 609, 2799, 1928, 8417, 267, 543, 4713, 540, 8226, 267, 568, 6462, 676, 519, 2164, 540, 10368, 2553, 281, 2582, 27141, 12998, 17223, 29821, 543, 6198, 6419, 16982, 9196, 563, 32747, 4605, 543, 5868, 454, 763, 1292, 10835, 540, 4017, 668, 9234, 22468, 1107, 513, 5312, 267, 27556, 1928, 711, 3361, 676, 513, 21454, 540, 30273, 602, 21898, 338, 519, 3461, 585, 693, 2547, 1614, 3275, 269, 634, 1928, 568, 27556, 267, 10825, 2429, 519, 1560, 1657, 543, 2630, 519, 22765, 269, 15380, 267, 2550, 4766, 741, 2783, 607, 968, 296, 1745, 602, 594, 723, 24074, 10876, 6100, 14904, 2356, 4766, 519, 1928, 602, 19082, 547, 782, 519, 6091, 267, 855, 3006, 849, 1867, 1928, 543, 11926, 538, 519, 10549, 269, 769, 1840, 267, 2550, 1419, 29153, 540, 533, 11732, 1127, 807, 267, 31018, 267, 32688, 267, 8781, 267, 20382, 543, 19271, 14815, 538, 519, 2960, 267, 2523, 538, 519, 3952, 543, 3946, 269, 6826, 6409, 21831, 531, 543, 5626, 2188, 723, 606, 1764, 538, 519, 1646, 540, 519, 4791, 4605, 540, 4017, 668, 9234, 22468, 269, 634, 9860, 540, 17867, 635, 12643, 7190, 538, 2550, 609, 4017, 668, 9234, 22468, 666, 3914, 689, 476, 1789, 260, 547, 476, 2568, 9077, 543, 519, 11841, 540, 2790, 4713, 568, 1256, 2362, 269, 12870, 543, 4160, 4713, 1107, 519, 1034, 1455, 2783, 269, 769, 1840, 267, 519, 5354, 540, 2550, 723, 5042, 15717, 269, 1280, 1383, 267, 2550, 2356, 4766, 741, 2042, 609, 5834, 610, 3007, 607, 513, 968, 327, 10270, 9731, 293, 756, 668, 9234, 22468, 5868, 3044, 2882, 513, 1895, 540, 8047, 4255, 267, 799, 2992, 519, 960, 540, 519, 4761, 1062, 267, 10081, 9404, 29774, 2534, 267, 519, 4527, 540, 3968, 267, 1008, 3183, 4017, 668, 9234, 22468, 267, 4887, 2783, 269, 1879, 23235, 4017, 668, 9234, 22468, 621, 568, 1271, 547, 1265, 519, 2014, 543, 1008, 3183, 5563, 267, 543, 23868, 2462, 18212, 9964, 3676, 267, 1973, 3676, 267, 22420, 21454, 267, 2789, 26379, 267, 993, 344, 582, 13116, 14694, 26379, 563, 2026, 7150, 267, 1373, 4761, 14524, 267, 2068, 3340, 6375, 6945, 547, 581, 8399, 539, 267, 519, 811, 2143, 267, 519, 811, 5730, 5868, 666, 581, 2322, 269, 12524, 4255, 585, 4017, 668, 9234, 22468, 2306, 2631, 547, 1491, 593, 519, 1641, 540, 519, 1614, 2101, 2152, 912, 268, 634, 4527, 540, 3968, 267, 1008, 3183, 606, 16991, 2534, 563, 268, 20531, 543, 16082, 540, 4761, 1062, 4713, 454, 268, 634, 4527, 540, 968, 26171, 892, 16991, 3676, 971, 607, 11528, 20461, 22980, 339, 3012, 657, 639, 610, 17094, 2643, 3151, 838, 1180, 2643, 4345, 563, 24092, 1305, 540, 4255, 585, 4017, 668, 9234, 22468, 2882, 912, 268, 25425, 2068, 267, 5778, 4011, 516, 2993, 2670, 454, 268, 4173, 6647, 1826, 476, 272, 543, 476, 273, 267, 15601, 1826, 476, 277, 267, 9210, 7322, 5174, 1551, 3644, 267, 7261, 339, 727, 6549, 21552, 267, 24430, 545, 7578, 22271, 8803, 3644, 454, 268, 5164, 531, 17537, 645, 267, 595, 267, 717, 563, 268, 932, 31779, 807, 543, 29901, 21182, 2742, 563, 268, 645, 1461, 8344, 30889, 902, 454, 268, 16332, 6945, 543, 16991, 12508, 454, 268, 634, 13525, 540, 519, 1699, 15059, 540, 4887, 5160, 454, 19575, 14647, 585, 3308, 1944, 1303, 1127, 4345, 568, 1095, 5296, 539, 547, 6218, 6553, 269, 634, 2707, 540, 1928, 538, 4017, 668, 9234, 22468, 568, 1303, 4185, 2073, 16091, 676, 14413, 638, 2299, 2324, 4761, 1062, 269, 4475, 267, 519, 6093, 2798, 540, 4017, 668, 9234, 22468, 543, 616, 4092, 538, 2101, 1303, 4185, 269, 476, 273, 2010, 540, 2242, 616, 6027, 912, 268, 25824, 2209, 540, 2534, 540, 2798, 540, 4017, 668, 9234, 22468, 693, 519, 942, 540, 519, 1353, 269, 8409, 616, 10832, 540, 1699, 540, 6553, 267, 12077, 30046, 543, 608, 644, 566, 540, 5714, 563, 268, 25824, 2209, 540, 973, 1890, 540, 6553, 269, 898, 568, 519, 4527, 540, 18287, 2305, 543, 522, 1087, 2305, 538, 1303, 4185, 563, 4415, 16953, 267, 519, 4527, 540, 10832, 540, 973, 1890, 540, 6553, 2534, 540, 6093, 543, 693, 2988, 673, 2798, 540, 4017, 668, 9234, 22468, 616, 6059, 267, 519, 1297, 540, 3742, 2798, 543, 519, 7355, 585, 4259, 519, 5868, 540, 4017, 668, 9234, 22468, 563, 30535, 609, 4017, 668, 9234, 22468, 593, 2168, 6514, 616, 7000, 609, 513, 1164, 8417, 610, 31926, 693, 1808, 2798, 538, 519, 1560, 269, 634, 1353, 540, 11213, 2798, 3340, 1995, 269, 634, 4387, 2115, 547, 917, 4010, 1141, 547, 27621, 622, 267, 543, 609, 1018, 3196, 269, 4340, 547, 519, 7355, 3989, 676, 1977, 5441, 540, 28039, 15436, 1108, 972, 616, 476, 1240, 13035, 2798, 538, 4017, 668, 9234, 22468, 912, 268, 11068, 268, 1150, 3650, 1448, 454, 268, 5822, 10775, 1448, 454, 268, 8899, 17818, 1448, 454, 268, 700, 8632, 12473, 1180, 1803, 1448, 454, 268, 12769, 760, 583, 1448, 454, 268, 3004, 19649, 3780, 2798, 454, 268, 2672, 1440, 5684, 514, 9850, 1448, 454, 268, 19382, 14853, 333, 841, 1448, 454, 268, 3794, 1393, 531, 1448, 454, 268, 20523, 7708, 2559, 614, 1448, 454, 268, 918, 26234, 1448, 454, 268, 20523, 7708, 2559, 614, 1448, 563, 763, 2604, 3812, 693, 891, 2798, 1058, 581, 476, 275, 4846, 1315, 4699, 269, 2755, 27621, 908, 476, 1240, 13035, 2798, 267, 1683, 1256, 2604, 593, 519, 2798, 543, 609, 519, 1482, 4674, 27621, 622, 519, 824, 2127, 540, 519, 1560, 585, 519, 6476, 540, 8417, 269, 10266, 995, 2798, 2099, 2127, 540, 2799, 8417, 547, 11213, 15128, 267, 543, 616, 711, 519, 1267, 540, 2199, 6553, 610, 5160, 3441, 563, 8448, 29622, 949, 581, 5342, 267, 971, 607, 30402, 344, 2762, 267, 1292, 6859, 540, 799, 616, 912, 268, 1401, 2850, 16991, 1135, 328, 558, 3930, 924, 267, 1250, 14527, 267, 993, 344, 582, 13116, 14694, 26379, 3248, 268, 634, 11186, 5868, 540, 4017, 668, 9234, 22468, 543, 2234, 7781, 1928, 1813, 547, 13496, 540, 519, 8229, 5072, 543, 11983, 10260, 3248, 268, 23369, 540, 15790, 531, 15993, 6794, 630, 11017, 3481, 13285, 540, 7916, 543, 7953, 609, 5394, 2989, 1303, 4185, 1916, 21357, 2126, 540, 4017, 668, 9234, 22468, 454, 763, 1101, 543, 10416, 1152, 3364, 602, 568, 12912, 538, 519, 2564, 2126, 540, 519, 2068, 1107, 616, 1928, 26973, 619, 543, 31520, 269, 1677, 1448, 856, 267, 713, 2186, 540, 2126 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 17256, 8778, 5563, 538, 4079, 269, 589, 2817, 11916, 10842, 5202, 3143, 476, 6434, 563, 306, 8379, 27263, 6579, 4041, 267, 808, 6993, 1421, 10790, 311, 307, 3633, 267, 654, 5861, 1421, 13698, 26980, 6938, 267, 808, 12282, 269, 630, 1220, 276, 1040, 7984, 1400, 1736, 269, 589, 3102, 2689, 269, 1977, 7731, 4284, 5974, 476, 10170, 267, 476, 12893, 274, 268, 14138, 273, 563, 15578, 19154, 4696, 29308, 543, 645, 8582, 5085, 6789, 306, 8577, 16774, 9215, 5357, 630, 1220, 277, 1040, 17842, 7454, 6657, 538, 700, 12839, 19541, 454, 312, 4338, 267, 570, 11482, 269, 543, 2910, 300, 310, 21822, 267, 667, 6993, 269, 630, 1220, 277, 1040, 589, 9836, 2689, 540, 519, 10727, 540, 519, 4908, 31891, 12125, 538, 579, 25233, 17256, 538, 11666, 775, 1382, 269, 24611, 269, 0, 288, 11450, 1870, 568, 513, 1826, 540, 1870, 1141, 1079, 610, 811, 1004, 2671, 9562, 267, 960, 267, 543, 5539, 538, 519, 1870, 269, 901, 568, 513, 1390, 1259, 547, 1711, 513, 1870, 602, 666, 1332, 3533, 267, 855, 621, 779, 1271, 547, 2015, 707, 3853, 543, 1279, 3856, 4566, 1354, 7446, 713, 2497, 563, 1432, 1772, 513, 26844, 888, 288, 1870, 11450, 568, 513, 3656, 6876, 1063, 1079, 610, 811, 2043, 602, 25907, 873, 547, 960, 1927, 538, 513, 3838, 13055, 269, 898, 779, 711, 2141, 513, 1434, 2856, 547, 979, 883, 513, 1870, 609, 2576, 596, 1810, 1406, 3972, 267, 543, 621, 779, 513, 1434, 2856, 547, 723, 513, 2854, 6876, 547, 1118, 2386, 782, 6105, 1174, 519, 2474, 540, 519, 11450, 563, 1692, 1772, 513, 26844, 12878, 2082, 888, 288, 11450, 666, 581, 2813, 676, 11913, 6876, 267, 855, 1082, 4966, 4363, 602, 513, 11450, 568, 6101, 1242, 609, 513, 2854, 3561, 24152, 519, 2474, 543, 3877, 540, 519, 11460, 269, 901, 786, 2285, 519, 1870, 513, 4396, 5748, 543, 2327, 782, 6105, 616, 593, 519, 1482, 2985, 827, 875, 519, 1870, 786, 7500, 563, 1432, 3657, 519, 7756, 9537, 540, 26844, 24371, 888, 2467, 616, 1896, 2010, 540, 11450, 4213, 267, 609, 1142, 835, 2348, 922, 1378, 2189, 5383, 543, 11393, 269, 1452, 616, 2489, 12352, 267, 3908, 12352, 267, 543, 3908, 15668, 12352, 630, 299, 10861, 338, 1916, 763, 4107, 25587, 7392, 540, 26844, 454, 288, 2489, 11450, 568, 513, 1826, 540, 1870, 1141, 782, 4891, 2671, 9562, 267, 7443, 267, 543, 2530, 267, 609, 1142, 7649, 2348, 3160, 1379, 936, 519, 5106, 540, 519, 1870, 269, 901, 568, 849, 519, 1034, 1455, 1826, 540, 11450, 538, 946, 563, 763, 1883, 5413, 540, 513, 2489, 11450, 568, 602, 1142, 7649, 568, 3238, 538, 4881, 519, 1870, 267, 543, 789, 723, 2123, 15668, 585, 1022, 22440, 610, 20824, 30309, 676, 519, 1870, 269, 898, 568, 513, 2442, 3903, 585, 4213, 602, 616, 1007, 610, 723, 1507, 5666, 540, 2724, 547, 1902, 563, 1432, 3657, 519, 20212, 9737, 513, 26844, 543, 513, 9523, 14516, 888, 763, 1034, 6654, 3017, 1063, 513, 1870, 7649, 543, 513, 2671, 14516, 568, 602, 513, 7649, 22595, 519, 2754, 267, 1247, 513, 2671, 14516, 568, 513, 1268, 610, 11769, 945, 1207, 903, 8843, 538, 513, 1857, 2754, 269, 589, 1870, 7649, 22595, 543, 8255, 519, 1870, 267, 1247, 513, 2671, 14516, 814, 2370, 610, 1100, 1852, 936, 875, 519, 1870, 13333, 563, 7617, 31313, 1772, 519, 7454, 888, 288, 1434, 7649, 568, 2576, 945, 814, 606, 1719, 538, 519, 1967, 540, 519, 2754, 267, 568, 8348, 547, 2322, 741, 1378, 2724, 543, 942, 883, 621, 267, 543, 6499, 547, 7119, 538, 1818, 3664, 827, 519, 1870, 269, 1358, 1058, 723, 519, 1702, 267, 1983, 267, 543, 1995, 547, 948, 519, 1870, 8011, 563, 1692, 1772, 513, 6355, 26844, 12525, 539, 888, 1103, 4334, 547, 14078, 267, 513, 11450, 568, 711, 3454, 539, 14384, 689, 922, 5411, 269, 634, 12434, 689, 519, 1870, 1780, 998, 547, 922, 4891, 267, 945, 1287, 1867, 873, 593, 741, 1378, 2123, 4747, 9204, 269, 901, 1797, 602, 519, 9204, 513, 1870, 17188, 616, 2539, 982, 1346, 540, 513, 18294, 563, 763, 1034, 1455, 1826, 540, 11450, 568, 513, 2489, 11450, 267, 799, 568, 513, 1390, 4781, 585, 1034, 4213, 269, 901, 568, 513, 1390, 3903, 585, 3549, 609, 2789, 5411, 267, 3318, 2516, 602, 1616, 519, 2640, 540, 513, 11450, 855, 1810, 1406, 1616, 547, 4383, 519, 1554, 3562, 6377, 4238, 267, 543, 5411, 945, 616, 28006, 513, 15908, 883, 513, 1870, 269, 0, 29378, 8935, 5055, 9751, 454, 1607, 1788, 6663, 547, 2333, 1533, 4204, 1569, 547, 15520, 3617, 1416, 1354, 267, 1282, 267, 543, 1310, 27638, 676, 3395, 12309, 781, 3654, 5055, 13781, 563, 288, 3654, 5055, 568, 513, 1875, 12641, 25766, 1268, 945, 2488, 2168, 267, 3929, 267, 543, 3872, 1489, 2533, 547, 9176, 2043, 543, 741, 3885, 1282, 519, 27514, 267, 4074, 543, 6765, 267, 543, 2022, 31691, 5712, 269, 5525, 723, 3254, 3654, 5055, 2533, 547, 2087, 7525, 4332, 4093, 543, 3461, 9547, 1247, 9797, 18363, 1514, 21876, 540, 1072, 267, 5885, 4332, 9698, 267, 543, 13302, 1072, 543, 7292, 13103, 602, 2291, 538, 938, 3782, 1062, 563, 17809, 4575, 15520, 3617, 2533, 1282, 27638, 568, 2629, 585, 4509, 2318, 4332, 4093, 267, 7292, 9698, 267, 543, 519, 8739, 655, 10899, 1072, 540, 3885, 267, 543, 2810, 519, 8244, 540, 10805, 267, 27083, 268, 601, 580, 1043, 7087, 3654, 20393, 1131, 2333, 1533, 4204, 1569, 547, 1416, 602, 568, 711, 1152, 15520, 3617, 855, 849, 10097, 585, 1970, 13867, 3885, 945, 1522, 6382, 979, 1510, 269, 21007, 580, 933, 577, 267, 5549, 269, 786, 7500, 12309, 781, 1101, 11727, 3654, 5055, 2866, 1982, 9516, 676, 11022, 295, 9391, 602, 6212, 593, 1416, 585, 7087, 9082, 269, 11554, 538, 14966, 609, 938, 7087, 20418, 1982, 267, 634, 715, 3019, 328, 5741, 267, 21007, 580, 933, 577, 4566, 547, 1683, 2146, 5721, 902, 1863, 540, 1942, 267, 14874, 7496, 547, 7127, 883, 519, 2361, 543, 3395, 12309, 779, 3654, 5055, 13781, 1533, 4204, 563, 20175, 538, 10606, 0, 304, 305, 12142, 5336, 4768, 823, 268, 11726, 338, 5025, 961, 1512, 476, 272, 454, 763, 590, 664, 974, 5336, 1173, 21838, 924, 8143, 20950, 454, 288, 5449, 838, 320, 454, 15447, 333, 2094, 4165, 18709, 543, 2505, 5034, 2394, 519, 3943, 7169, 267, 519, 20950, 540, 12142, 5336, 1173, 21838, 924, 23384, 1007, 1646, 538, 476, 7277, 271, 609, 519, 4070, 540, 513, 1507, 476, 1789, 268, 3336, 838, 320, 267, 9280, 609, 28876, 7750, 2873, 602, 941, 13859, 676, 513, 3905, 5614, 269, 4826, 6952, 906, 941, 3710, 543, 29295, 618, 11623, 941, 2813, 267, 3006, 538, 6397, 5546, 267, 899, 519, 16938, 575, 8527, 1729, 9732, 693, 519, 4406, 12251, 5614, 269, 769, 476, 6942, 271, 267, 547, 2743, 3395, 3747, 267, 1007, 20730, 941, 3710, 543, 21233, 2338, 9782, 6385, 547, 476, 7785, 829, 1554, 269, 1809, 713, 1967, 729, 2110, 24331, 269, 634, 9042, 540, 519, 20950, 676, 25488, 267, 10288, 676, 513, 5480, 538, 476, 6642, 280, 267, 2322, 606, 1439, 547, 519, 1507, 590, 664, 974, 5336, 1173, 21838, 924, 838, 320, 563, 14112, 569, 19952, 267, 513, 1007, 3184, 3459, 267, 609, 519, 9042, 540, 7777, 1216, 689, 519, 20950, 602, 13859, 519, 5449, 838, 320, 269, 21231, 4421, 585, 922, 16392, 21644, 267, 519, 1216, 729, 13604, 6098, 4724, 4948, 4616, 676, 2199, 5561, 269, 769, 476, 4572, 280, 267, 519, 3135, 729, 4853, 2213, 543, 2504, 2799, 6385, 267, 8757, 3592, 476, 27768, 267, 1822, 14569, 538, 476, 4350, 273, 269, 769, 476, 1960, 276, 267, 519, 12051, 729, 11751, 676, 513, 2101, 10685, 518, 267, 945, 3710, 513, 1007, 2504, 1770, 547, 519, 7532, 540, 519, 1292, 4155, 563, 268, 7348, 540, 519, 838, 320, 543, 835, 540, 519, 29295, 618, 11623, 267, 593, 519, 1318, 454, 268, 634, 838, 320, 15678, 729, 4092, 538, 519, 2295, 540, 513, 5318, 3338, 5115, 539, 6288, 12630, 609, 4054, 563, 268, 634, 4406, 12251, 5614, 575, 8527, 1729, 267, 513, 19463, 5544, 585, 6204, 1597, 597, 11147, 454, 268, 2311, 590, 664, 974, 5336, 1173, 21838, 924, 267, 513, 7542, 787, 1031, 547, 3444, 519, 2353, 1512, 5757, 454, 306, 15856, 730, 476, 4335, 15432, 547, 519, 7532, 540, 519, 838, 320, 3135, 267, 593, 519, 2025, 4155, 3056, 547, 700, 1170, 659, 267, 713, 26832, 32446, 267, 13859, 676, 513, 5614, 602, 1625, 19959, 569, 2760, 1743, 625, 909, 267, 729, 2899, 519, 1152, 1259, 585, 519, 11317, 540, 700, 1170, 659, 547, 1205, 1216, 538, 2053, 540, 10980, 563, 6097, 547, 2245, 267, 12540, 21838, 924, 632, 4406, 12251, 844, 523, 3481, 1200, 19818, 972, 15029, 6972, 2282, 547, 12142, 5336, 4768, 823, 563, 29820, 538, 476, 14028, 274, 267, 8250, 540, 28741, 4083, 267, 3751, 540, 5333, 543, 21965, 632, 631, 2946, 323, 545, 529, 267, 543, 9310, 538, 476, 6942, 273, 547, 28741, 632, 18937, 19128, 267, 519, 2104, 28741, 10001, 267, 3751, 540, 5333, 267, 519, 4807, 2663, 1634, 607, 10348, 12540, 582, 729, 608, 6150, 547, 30080, 591, 326, 928, 267, 547, 519, 932, 5889, 974, 879, 546, 685, 308, 26856, 267, 689, 476, 15647, 277, 547, 476, 8182, 276, 563, 268, 12540, 582, 32446, 454, 268, 853, 4202, 3056, 547, 519, 674, 517, 1555, 324, 12540, 582, 30635, 710, 454, 268, 5800, 11681, 540, 12540, 21838, 924, 632, 4406, 12251, 267, 2235, 320, 476, 14991, 272, 630, 289, 9560, 1054, 11726, 4302, 2817, 324, 632, 5333, 264, 0, 32575, 8109, 9791, 18346, 912, 292, 6141, 9791, 18346, 616, 1507, 267, 18991, 11954, 4278, 16640, 269, 589, 591, 1645, 1063, 476, 277, 268, 279, 6279, 538, 3259, 609, 513, 12209, 3966, 8151, 689, 476, 280, 268, 1321, 6279, 630, 338, 2775, 569, 3677, 982, 838, 541, 4900, 855, 4130, 982, 3775, 1231, 1070, 891, 4544, 3083, 625, 616, 9425, 2653, 547, 2697, 269, 1358, 666, 1419, 581, 2938, 829, 3481, 538, 513, 10169, 834, 327, 684, 3481, 257, 2990, 593, 12904, 610, 31966, 538, 4610, 543, 1930, 3574, 4133, 269, 634, 2937, 5256, 4544, 12704, 814, 513, 7524, 4544, 1394, 267, 2212, 267, 543, 2766, 602, 616, 2182, 547, 4413, 267, 2523, 1282, 9960, 4005, 269, 589, 15309, 11954, 20020, 2066, 519, 11563, 543, 6089, 1657, 519, 3043, 17987, 5693, 10646, 519, 8109, 9791, 12704, 689, 922, 13738, 9791, 12704, 3448, 269, 21058, 24795, 17932, 1346, 540, 519, 5256, 855, 538, 811, 1016, 706, 539, 24698, 910, 741, 834, 19990, 257, 666, 1419, 1413, 811, 899, 513, 12094, 540, 15454, 563, 16920, 24219, 8109, 9791, 18346, 912, 7628, 1454, 540, 519, 1032, 267, 4544, 18346, 3049, 5631, 593, 7786, 899, 30746, 267, 524, 4459, 1115, 267, 22404, 267, 20151, 267, 6371, 7749, 11825, 267, 543, 17494, 269, 1358, 786, 3643, 29650, 811, 1102, 18526, 950, 519, 4365, 568, 7646, 543, 891, 1426, 2959, 616, 10731, 269, 4256, 5162, 2732, 568, 8185, 8200, 593, 1082, 5686, 540, 3552, 15708, 269, 10435, 2386, 547, 1331, 4829, 24481, 19211, 543, 4054, 538, 707, 30120, 666, 948, 547, 4482, 891, 5017, 269, 1452, 2371, 1331, 855, 616, 711, 3908, 547, 2040, 659, 267, 30207, 267, 3109, 22269, 267, 512, 1575, 601, 334, 267, 1225, 7847, 267, 3552, 2868, 569, 267, 2915, 6229, 15708, 267, 11360, 11241, 267, 1093, 651, 15634, 267, 543, 15118, 23803, 15708, 269, 9791, 18346, 666, 849, 581, 13631, 547, 29650, 609, 7594, 17494, 610, 647, 564, 563, 292, 5550, 532, 513, 2757, 4544, 12704, 2777, 666, 849, 948, 547, 1303, 823, 4544, 18346, 547, 707, 3959, 563, 23325, 18346, 616, 13570, 562, 22246, 543, 789, 1590, 14526, 585, 891, 9634, 609, 824, 1507, 5017, 971, 607, 7105, 1228, 525, 267, 8913, 1111, 539, 5707, 332, 823, 267, 543, 2428, 1002, 2583, 269, 1358, 849, 723, 547, 14526, 609, 12362, 2249, 971, 607, 2777, 838, 541, 4900, 543, 3864, 5182, 13530, 269, 634, 3761, 540, 2067, 21224, 19659, 585, 782, 891, 5017, 814, 21022, 936, 519, 1296, 1317, 540, 7226, 2530, 267, 519, 8851, 540, 4666, 4054, 543, 17873, 267, 543, 513, 6521, 689, 519, 946, 540, 11308, 20545, 9708, 547, 4496, 9708, 269, 18641, 267, 4544, 18346, 11593, 9566, 538, 5841, 9566, 10833, 543, 7839, 3646, 547, 1683, 891, 10833, 723, 5280, 9258, 10565, 2551, 23229, 563, 4407, 519, 5256, 8109, 9791, 12704, 2306, 513, 2462, 1397, 540, 8876, 1570, 538, 543, 856, 540, 519, 9566, 4216, 543, 829, 4221, 593, 1283, 1166, 32211, 1010, 12209 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2141, 1797, 3843, 1919, 856, 543, 29412, 547, 798, 1007, 1919, 269, 3194, 32112, 267, 9945, 267, 543, 590, 10933, 338, 798, 711, 3132, 538, 1804, 10627, 2583, 267, 855, 2864, 2483, 3066, 269, 6860, 269, 1001, 280, 1923, 7926, 5240, 454, 1704, 269, 6860, 269, 1001, 280, 1923, 7926, 5240, 454, 1428, 269, 6860, 269, 1001, 280, 1923, 7926, 5240, 454, 1691, 269, 6187, 269, 1001, 280, 1923, 6176, 5303, 454, 1691, 269, 6187, 269, 1001, 280, 1923, 10049, 7070, 454, 1691, 269, 6187, 269, 1001, 280, 1923, 6481, 7177, 0, 9558, 3836, 689, 519, 6739, 676, 717, 269, 962, 1678, 990, 20391, 269, 2443, 18293, 281, 19257, 23255, 267, 476, 3422, 280, 269, 2443, 476, 8660, 277, 533, 20136, 1257, 568, 2966, 607, 513, 1576, 540, 6128, 585, 2362, 2930, 1153, 269, 898, 3568, 1082, 5249, 1806, 602, 9414, 519, 7811, 1570, 543, 4196, 607, 3631, 585, 6061, 2042, 269, 634, 1101, 1079, 11271, 834, 10831, 269, 24438, 269, 9577, 257, 543, 834, 21918, 527, 269, 8033, 8462, 540, 513, 9577, 257, 723, 1044, 1500, 607, 2110, 607, 2009, 269, 2368, 540, 519, 2055, 602, 616, 2356, 5941, 538, 891, 11271, 723, 1044, 2322, 538, 519, 3791, 543, 7766, 11271, 1510, 2530, 540, 15364, 269, 901, 814, 1500, 621, 2009, 547, 1491, 909, 1360, 2038, 519, 2596, 1523, 540, 11186, 11810, 2443, 519, 12045, 2443, 799, 568, 2838, 538, 519, 1353, 540, 2930, 5396, 269, 15232, 814, 3254, 713, 11460, 540, 519, 1570, 547, 581, 519, 1655, 543, 1034, 10375, 585, 519, 2875, 269, 589, 1804, 1297, 540, 2042, 723, 1044, 3769, 267, 1082, 540, 799, 9414, 519, 954, 30447, 4721, 540, 6128, 543, 824, 10459, 269, 634, 2042, 616, 16887, 5697, 630, 663, 538, 6190, 1297, 264, 585, 1142, 3296, 540, 519, 1576, 3976, 4543, 519, 2875, 547, 4487, 519, 7811, 1570, 269, 1677, 513, 1804, 6708, 267, 713, 2306, 519, 946, 540, 513, 5094, 1433, 540, 2042, 11991, 543, 11498, 519, 28252, 540, 713, 1257, 607, 513, 1576, 540, 6128, 585, 1582, 2987, 560, 2315, 269, 21208, 565, 2967, 12054, 523, 990, 747, 623, 7416, 684, 990, 630, 5002, 279, 268, 3192, 278, 264, 2443, 865, 341, 2884, 22301, 543, 2964, 545, 563, 396, 356, 4344, 29652, 9924, 11012, 18547, 10948, 28476, 16044, 491, 26580, 4344, 16044, 482, 3522, 13953, 6459, 30935, 16417, 15671, 4138, 13150, 23485, 31589, 13953, 16021, 4736, 9841, 15800, 270, 4138, 20434, 11714, 26281, 9686, 4138, 16021, 21660, 11012, 3522, 13953, 4344, 15800, 4736, 10528, 17201, 9841, 13194, 7846, 9326, 16044, 482, 18775, 9261, 7846, 11012, 8563, 21268, 17153, 7846, 269, 0, 14946, 539, 2477, 602, 1902, 811, 593, 2069, 723, 2362, 7924, 3928, 971, 607, 4516, 267, 609, 513, 7924, 2557, 540, 476, 4200, 630, 763, 2622, 5517, 1504, 3379, 547, 513, 3384, 2477, 971, 607, 4000, 269, 634, 5013, 827, 27781, 538, 547, 17058, 1158, 616, 26648, 282, 2221, 267, 972, 616, 930, 476, 8517, 2929, 1004, 945, 798, 711, 723, 1569, 547, 6190, 1426, 547, 2743, 741, 2115, 269, 769, 713, 3942, 519, 2956, 540, 2069, 538, 3384, 2477, 1557, 1053, 723, 547, 3068, 1082, 7965, 543, 1451, 811, 827, 519, 1169, 2361, 540, 1272, 269, 1403, 519, 1053, 6487, 602, 1018, 543, 875, 2029, 2337, 538, 519, 1646, 540, 513, 2197, 543, 789, 616, 2219, 827, 519, 2029, 1287, 789, 666, 1118, 4359, 689, 873, 543, 666, 1404, 513, 1390, 1909, 1317, 19951, 269, 634, 1004, 18085, 1336, 1945, 585, 1010, 1426, 1287, 875, 666, 875, 3893, 2069, 543, 1831, 513, 22225, 538, 519, 1646, 540, 513, 2197, 269, 1280, 1383, 835, 1353, 729, 1500, 950, 1978, 1895, 540, 1004, 538, 513, 2160, 7691, 602, 1004, 538, 3384, 2477, 21645, 3434, 741, 1426, 1134, 2614, 269, 4065, 568, 1419, 14605, 6027, 267, 543, 519, 5222, 798, 711, 2141, 1397, 909, 607, 19250, 1713, 538, 3444, 268, 2197, 2208, 1036, 11306, 630, 299, 5271, 710, 11412, 3881, 267, 476, 1960, 273, 1040, 16731, 544, 547, 1294, 875, 649, 666, 948, 596, 2336, 18719, 557, 19282, 550, 543, 2242, 723, 547, 2049, 267, 3610, 991, 547, 581, 811, 13473, 1317, 789, 616, 519, 3283, 602, 616, 3246, 519, 1053, 609, 1702, 543, 519, 2702, 2956, 540, 2069, 538, 3384, 2477, 1557, 547, 1224, 543, 2328, 269, 2368, 540, 519, 1292, 2798, 616, 27781, 267, 2069, 267, 1126, 4074, 267, 3106, 543, 1480, 2924, 269, 1703, 2115, 547, 581, 811, 7128, 543, 4031, 267, 855, 602, 1281, 711, 4194, 519, 2898, 1966, 269, 9603, 547, 4702, 519, 2477, 616, 1256, 2111, 547, 1831, 606, 10570, 10514, 269, 9747, 649, 1058, 849, 1491, 1719, 538, 3909, 2069, 269, 476, 6344, 275, 9293, 276, 9664, 267, 519, 2804, 11144, 540, 513, 2197, 568, 711, 6027, 676, 519, 7924, 2557, 540, 519, 2197, 610, 1297, 540, 1004, 945, 616, 13473, 269, 4475, 519, 2069, 4249, 513, 1390, 1909, 538, 513, 2197, 269, 1924, 789, 2285, 25689, 547, 930, 2158, 945, 616, 16805, 543, 789, 3893, 2069, 593, 1863, 540, 1942, 269, 6271, 1259, 568, 602, 519, 1426, 1851, 519, 1004, 538, 519, 2197, 1223, 581, 3838, 8449, 547, 782, 519, 1004, 563, 5278, 723, 10617, 543, 930, 3983, 2916, 855, 519, 1455, 3364, 568, 281, 789, 782, 723, 2042, 269, 1924, 519, 6082, 610, 2477, 616, 676, 1628, 676, 11299, 267, 952, 646, 4116, 1126, 1134, 1287, 621, 568, 7543, 602, 2197, 18085, 3384, 269, 4475, 519, 3668, 540, 2069, 538, 513, 2197, 666, 581, 2808, 513, 1106, 540, 6710, 269, 9603, 547, 2069, 649, 666, 2087, 938, 2029, 543, 6140, 938, 8878, 2956, 540, 2069, 538, 3384, 2477, 1557, 2029, 676, 799, 649, 666, 5150, 938, 2197, 269, 634, 3435, 547, 519, 27781, 616, 2965, 7168, 2241, 269, 2353, 519, 2042, 616, 5532, 269, 1261, 11414, 721, 827, 519, 3347, 543, 6073, 540, 6028, 538, 513, 2486, 1287, 538, 2197, 543, 538, 513, 1158, 693, 2518, 1377, 269, 634, 9082, 21645, 917, 519, 2956, 540, 2069, 269, 4516, 568, 811, 2413, 1242, 543, 25856, 1472, 13473, 1004, 7429, 4000, 799, 568, 513, 3384, 2197, 269, 8409, 2477, 945, 917, 519, 2956, 540, 2069, 267, 865, 789, 1101, 4782, 547, 3893, 2069, 269, 6145, 824, 5396, 4702, 849, 4249, 1390, 2956, 563, 2791, 991, 547, 948, 1004, 547, 948, 2933, 269, 634, 2069, 4249, 513, 1390, 1909, 538, 519, 2361, 540, 6683, 269, 898, 568, 513, 2262, 602, 6763, 4805, 269, 3509, 3676, 267, 3536, 543, 11955, 616, 22393, 1500, 547, 14020, 543, 1852, 1004, 269, 898, 568, 5827, 540, 960, 1152, 952, 782, 519, 18646, 540, 519, 14903, 960, 538, 15222, 1125, 6073, 269, 4065, 568, 1360, 2352, 547, 1205, 1317, 2835, 1942, 267, 3506, 723, 547, 581, 2956, 540, 2069, 538, 3384, 2477, 1557, 1628, 267, 1100, 835, 6487, 875, 547, 4001, 543, 3885, 991, 3214, 547, 960, 543, 547, 1205, 1426, 585, 519, 1920, 269, 4132, 4074, 568, 19890, 1360, 1455, 538, 3384, 2477, 269, 1358, 666, 1589, 2318, 543, 666, 14526, 609, 1776, 2197, 3362, 538, 519, 2361, 540, 1646, 543, 13884, 540, 513, 2197, 269, 901, 568, 1152, 13473, 6205, 945, 666, 1685, 1169, 10279, 540, 513, 2197, 1134, 269, 2290, 538, 2185, 1453, 538, 1016, 25781, 4000, 9907, 1063, 476, 276, 547, 476, 1691, 723, 547, 960, 1419, 909, 547, 476, 1626, 3108, 513, 1554, 1317, 741, 3885, 7048, 593, 519, 4747, 8329, 676, 741, 1453, 267, 4061, 4000, 814, 547, 6108, 811, 269, 2311, 519, 2038, 3942, 519, 1034, 1271, 3610, 540, 513, 1126, 616, 1010, 3237, 543, 16887, 1010, 11299, 269, 1261, 568, 519, 29659, 1268, 538, 519, 1158, 543, 568, 4758, 7683, 1426, 547, 17493, 563, 763, 2197, 610, 6082, 1949, 616, 676, 835, 1268, 799, 568, 1634, 607, 3401, 540, 602, 2197, 269, 634, 1646, 540, 513, 2197, 538, 2564, 2361, 616, 1369, 519, 7189, 3946, 267, 952, 789, 960, 2182, 1287, 789, 666, 3035, 782, 519, 9072, 602, 616, 3068, 19951, 538, 513, 2197, 269, 27009, 519, 6082, 616, 3384, 676, 6575, 269, 1924, 519, 2069, 568, 2556, 585, 694, 5338, 519, 2930, 2069, 899, 4702, 1317, 789, 666, 1404, 513, 1390, 1909, 538, 3384, 513, 2197, 543, 2337, 873, 547, 1831, 9120, 538, 519, 1158, 269, 1452, 2152, 616, 1360, 1114, 538, 2919, 543, 3384, 2477, 269, 634, 1985, 1966, 5673, 593, 519, 3978, 1145, 540, 519, 2152, 269, 2549, 691, 5984, 7354, 814, 3989, 6710, 17548, 602, 621, 568, 519, 3668, 540, 12588, 547, 1599, 3927, 538, 2486, 269, 634, 811, 1004, 3478, 13473, 267, 519, 811, 1004, 6061, 2042, 269, 0, 30531, 14086, 10434, 2264, 26386, 4112, 7134, 454, 2414, 2759, 998, 930, 540, 519, 10539, 4478, 19682, 267, 649, 991, 547, 7941, 621, 883, 1079, 3334, 269, 2201, 519, 835, 1688, 267, 596, 723, 19682, 7308, 2389, 7505, 267, 513, 6256, 540, 3009, 799, 4564, 9562, 540, 606, 5907, 1523, 4990, 540, 899, 513, 3059, 594, 5495, 269, 2201, 519, 824, 1688, 267, 596, 4312, 3893, 19682, 7308, 3491, 339, 4377, 267, 513, 24797, 3060, 799, 15387, 513, 24432, 540, 21356, 540, 19682, 7308, 2389, 7505, 563, 763, 3684, 6087, 11033, 547, 581, 2366, 1063, 3755, 1510, 8429, 3842, 513, 3844, 6392, 267, 971, 607, 513, 4871, 610, 8569, 24891, 269, 898, 781, 1500, 543, 6854, 6475, 1227, 269, 9779, 23915, 616, 660, 9102, 267, 899, 9489, 610, 20789, 338, 789, 516, 3812, 676, 5904, 782, 1472, 519, 4541, 267, 1210, 1863, 3301, 563, 2005, 729, 519, 1360, 1101, 3236, 540, 1018, 649, 1289, 19116, 267, 513, 3395, 4222, 1362, 799, 8843, 1896, 2934, 540, 2757, 19728, 267, 1927, 609, 19027, 1759, 593, 25563, 563, 288, 15554, 11345, 3301, 27732, 2469, 676, 519, 2012, 540, 9045, 25493, 26981, 600, 9369, 6700, 19682, 538, 476, 1220, 279, 267, 607, 606, 5907, 8569, 1062, 1759, 593, 6310, 2963, 269, 634, 2856, 729, 547, 5352, 513, 1797, 540, 5385, 267, 4830, 540, 1022, 3844, 6392, 267, 799, 1223, 581, 11843, 6475, 1227, 538, 513, 5150, 267, 2357, 16666, 543, 1799, 17014, 1259, 563, 763, 4279, 652, 6651, 1677, 11670, 14086, 27620, 454, 30531, 8314, 666, 581, 1031, 547, 3382, 1919, 6475, 1227, 267, 952, 1312, 6105, 616, 8348, 269, 769, 602, 2631, 267, 922, 2147, 547, 6671, 9489, 267, 20789, 338, 267, 610, 586, 523, 267, 602, 666, 849, 581, 21775, 25274, 563, 30531, 23915, 1034, 1271, 4183, 568, 602, 621, 568, 18228, 269, 3143, 2582, 9872, 8060, 519, 19682, 3060, 269, 898, 781, 9738, 676, 513, 1895, 540, 15321, 13798, 619, 267, 543, 2196, 998, 606, 1930, 3060, 540, 6131, 5904, 3262, 1472, 519, 1158, 269, 901, 24643, 2043, 543, 2516, 602, 616, 13943, 609, 519, 1852, 602, 8492, 610, 2229, 5238, 723, 936, 741, 2724, 269, 4586, 30531, 8314, 31758, 519, 5595, 7836, 1966, 540, 5907, 19728, 630, 514, 799, 5907, 7221, 666, 3362, 581, 23652, 543, 556, 268, 4310, 264, 3842, 606, 19782, 1190, 4999, 540, 25563, 543, 2804, 15314, 269, 769, 5907, 535, 9332, 19728, 267, 713, 1599, 568, 24009, 676, 8492, 267, 799, 3947, 873, 1852, 936, 519, 2757, 1062, 269, 8625, 609, 19682, 267, 519, 8699, 540, 519, 8852, 568, 9738, 676, 513, 7856, 543, 1930, 3060, 267, 11262, 676, 1100, 14633, 269, 4586, 293, 9332, 19728, 630, 323, 3326, 1513, 267, 20789, 338, 267, 586, 523, 267, 3092, 4700, 723, 606, 19957, 3761, 3844, 8492, 666, 3390, 607, 1082, 607, 789, 1616, 267, 543, 666, 3801, 547, 13861, 513, 1225, 1066, 322, 903, 4502, 3448, 547, 1866, 269, 15579, 619, 540, 519, 9304, 630, 663, 2523, 4961, 609, 2370, 4244, 264, 7703, 519, 3902, 563, 10214, 1498, 6494, 619, 540, 2757, 5907, 11033, 616, 2356, 4857, 630, 1721, 19027, 5301, 267, 543, 547, 705, 728, 676, 4550, 2173, 2292, 561, 879, 837, 532, 543, 824, 9086, 1070, 3755, 540, 19682, 538, 3069, 7500, 30318, 7335, 538, 10859, 12845, 7716, 640, 269, 4595, 972, 568, 1100, 3844, 4570, 1807, 267, 3755, 798, 711, 991, 547, 2697, 2933, 950, 11488, 19682, 547, 1776, 3593, 269, 1879, 513, 11834, 7662, 568, 19429, 267, 519, 7014, 11974, 782, 1991, 8852, 547, 6166, 602, 519, 30699, 4991, 519, 2556, 19682, 607, 1134, 607, 519, 6392, 547, 6494, 873, 563, 763, 7454, 6651, 1677, 15012, 11670, 14086, 623, 944, 454, 1103, 2259, 267, 1169, 3593, 568, 4857, 676, 519, 2232, 540, 741, 23129, 269, 3690, 13905, 666, 267, 609, 930, 4674, 267, 581, 16913, 713, 1259, 269, 3958, 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 ]
[ 10195, 1185, 1100, 5065, 18714, 11864, 4849, 585, 16835, 630, 24392, 11864, 1705, 2291, 538, 1715, 10215, 2394, 476, 866, 2929, 1296, 3516, 1070, 519, 1292, 5057, 540, 519, 21426, 1373, 7786, 543, 5017, 269, 4706, 18508, 568, 13856, 676, 717, 1180, 9774, 534, 2371, 267, 16030, 13840, 540, 7733, 267, 1034, 28020, 519, 9649, 737, 4768, 328, 269, 1715, 10215, 814, 2919, 513, 3084, 26085, 11059, 7233, 334, 2232, 5726, 540, 9645, 2338, 540, 12219, 18508, 543, 21426, 1369, 1715, 10215, 563, 339, 622, 540, 519, 5113, 8989, 454, 763, 12080, 585, 519, 5113, 814, 3812, 1079, 454, 13750, 540, 519, 5113, 516, 7964, 547, 4266, 267, 835, 538, 476, 1960, 278, 1496, 322, 924, 1357, 347, 14766, 284, 10674, 2517, 332, 10623, 10993, 339, 8542, 345, 9706, 3016, 725, 4882, 518, 4882, 518, 1960, 278, 270, 347, 27583, 284, 763, 3557, 540, 1715, 10215, 779, 5113, 476, 1960, 278, 347, 11845, 284, 1960, 278, 347, 335, 889, 10091, 284, 14737, 3588, 585, 519, 5113, 347, 17739, 11845, 284, 1220, 279, 268, 6021, 268, 6734, 316, 543, 519, 824, 538, 476, 1220, 278, 269, 1496, 322, 924, 1357, 347, 14766, 284, 10674, 2517, 332, 10623, 10993, 339, 8542, 345, 9706, 3016, 725, 4882, 518, 19841, 345, 5881, 11546, 322, 5881, 27651, 11258, 347, 27583, 284, 5319, 1444, 1715, 10215, 476, 1220, 278, 347, 11845, 284, 20103, 476, 1220, 278, 347, 335, 889, 10091, 284, 14737, 3588, 585, 519, 5113, 347, 17739, 11845, 284, 1220, 279, 268, 6021, 268, 6734, 2639, 763, 5072, 540, 1715, 10215, 2825, 1876, 666, 581, 14360, 547, 519, 454, 21720, 1876, 1993, 6628, 269, 634, 2810, 2825, 4656, 540, 519, 476, 3422, 271, 338, 3366, 547, 513, 1808, 1560, 540, 2825, 1876, 7474, 2919, 538, 1082, 5375, 2477, 1519, 1715, 10215, 269, 7025, 1876, 2968, 811, 7471, 538, 519, 476, 2735, 271, 338, 609, 519, 8429, 540, 519, 5113, 2920, 476, 2735, 278, 663, 519, 11094, 2920, 269, 1452, 20450, 1305, 909, 519, 12080, 585, 519, 5113, 267, 12057, 776, 30934, 585, 519, 5113, 663, 519, 1715, 10215, 4972, 540, 11094, 563, 763, 1034, 1713, 2920, 540, 12057, 7282, 2825, 1876, 729, 519, 8429, 540, 454, 4910, 1830, 5004, 2920, 514, 476, 1960, 272, 269, 12983, 896, 519, 2920, 616, 7755, 644, 5344, 676, 519, 5113, 7040, 540, 1715, 10215, 563, 2026, 609, 1082, 824, 2477, 972, 616, 513, 1297, 540, 454, 523, 16652, 14540, 602, 616, 2324, 2509, 5466, 1585, 2825, 2152, 514, 1715, 10215, 563, 20755, 5202, 540, 2825, 1686, 540, 1715, 10215, 454, 265, 1496, 10674, 2517, 4178, 6230, 10623, 10993, 339, 8542, 345, 12080, 585, 519, 5113, 2639, 265, 1496, 10674, 2517, 4178, 6155, 665, 10993, 339, 8542, 345, 4972, 540, 11094, 2639, 265, 1496, 10674, 2517, 4178, 269, 712, 325, 1956, 14492, 8542, 345, 27651, 269, 5684, 938, 325, 1956, 14492, 8542, 345, 316, 910, 513, 1788, 585, 11837, 2825, 7341, 538, 1715, 10215, 454, 310, 1731, 12855, 7690, 269, 476, 1001, 271, 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 ]
[ 2143, 1837, 609, 19900, 1257, 543, 3009, 12612, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 269, 3550, 519, 3137, 616, 3015, 543, 2653, 547, 1174, 676, 1053, 609, 930, 2596, 1702, 540, 519, 1641, 269, 476, 634, 1837, 1058, 3895, 7744, 543, 20201, 1983, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 912, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 2422, 19000, 10035, 3230, 585, 4834, 543, 18889, 585, 5124, 3009, 12612, 269, 3097, 268, 3550, 4570, 19673, 3977, 563, 268, 12305, 543, 1104, 1022, 2556, 8021, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 1684, 711, 2491, 2596, 9226, 2035, 899, 3252, 543, 4632, 269, 1684, 711, 946, 16814, 585, 11249, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 1015, 281, 7813, 4533, 1097, 543, 6184, 565, 1597, 1097, 692, 5331, 713, 9183, 281, 596, 723, 1044, 4881, 513, 21097, 1796, 782, 4832, 1279, 269, 1411, 10710, 909, 2724, 547, 4444, 513, 1007, 11332, 267, 855, 1287, 1945, 6397, 5949, 269, 589, 5458, 7088, 3357, 998, 4884, 543, 10032, 707, 21097, 1796, 256, 3767, 267, 596, 1810, 1405, 723, 2614, 2724, 2451, 547, 4444, 519, 11332, 269, 1548, 798, 596, 798, 2496, 1103, 1483, 1272, 267, 950, 1004, 610, 4213, 3068, 3871, 1141, 789, 3112, 2628, 741, 22440, 267, 789, 1522, 991, 948, 689, 17864, 945, 20647, 538, 28153, 543, 1202, 565, 1597, 1097, 4031, 269, 1452, 17864, 616, 4966, 538, 4543, 2043, 543, 3906, 1265, 2081, 547, 4383, 741, 7963, 865, 789, 666, 1376, 4195, 269, 2913, 781, 2263, 1018, 28153, 1797, 543, 875, 621, 1568, 780, 1432, 568, 7813, 4533, 1097, 2496, 289, 1678, 4533, 1097, 568, 899, 18644, 519, 834, 637, 564, 7735, 257, 585, 2576, 610, 513, 1870, 10010, 609, 7963, 269, 898, 781, 513, 1259, 547, 1205, 856, 689, 896, 12014, 602, 723, 1831, 1932, 1454, 547, 6023, 269, 1703, 616, 1114, 2010, 540, 22625, 2886, 4470, 593, 2436, 621, 3322, 2043, 610, 4213, 269, 1809, 1100, 2339, 799, 1826, 267, 30418, 28153, 2356, 13515, 5491, 832, 630, 15161, 610, 3549, 596, 28297, 2724, 264, 689, 3843, 547, 2445, 11033, 1247, 1919, 1205, 15044, 856, 780, 4131, 781, 979, 1394, 547, 938, 21097, 1796, 1383, 269, 14597, 596, 1869, 4941, 547, 4444, 602, 11332, 1310, 9561, 707, 21097, 1796, 269, 2290, 4781, 1522, 581, 24228, 811, 2724, 689, 2828, 610, 14077, 269, 1717, 267, 952, 9039, 540, 873, 666, 22937, 596, 519, 2838, 2179, 267, 596, 949, 2015, 25937, 585, 28153, 269, 1635, 3257, 865, 267, 1022, 14222, 12029, 2404, 609, 519, 21097, 1796, 1131, 581, 23498, 2476, 267, 4758, 596, 513, 4960, 547, 4688, 909, 1586, 585, 519, 11332, 780, 4913, 267, 972, 781, 2141, 513, 6952, 269, 674, 4979, 585, 28153, 3085, 1405, 1611, 29400, 20231, 2883, 13800, 269, 2368, 22440, 267, 971, 607, 1126, 1489, 267, 620, 574, 3415, 267, 2875, 12029, 267, 9204, 267, 543, 22717, 267, 5749, 1405, 2144, 1078, 676, 28153, 269, 4746, 267, 25937, 585, 28153, 5540, 835, 781, 5491, 6060, 11874, 267, 1818, 621, 9875, 547, 5150, 12029, 610, 5491, 6486, 538, 519, 2104, 780, 17843, 9537, 540, 7813, 4533, 2886, 692, 2467, 616, 1079, 1292, 6688, 540, 22625, 2886, 281, 5277, 566, 543, 556, 32360, 269, 3962, 7121, 814, 23658, 20975, 1759, 593, 2436, 519, 1268, 610, 11769, 5275, 8323, 568, 606, 1367, 610, 513, 18294, 780, 272, 269, 700, 1172, 9179, 7813, 4533, 2886, 281, 901, 1826, 540, 28153, 3322, 9513, 7221, 547, 23231, 930, 6712, 540, 519, 7963, 7640, 539, 269, 1280, 2043, 267, 713, 568, 1572, 3848, 476, 278, 28153, 269, 14992, 946, 3848, 476, 1556, 28153, 585, 9746, 1964, 31382, 563, 273, 269, 1234, 32360, 7813, 4533, 2886, 281, 7201, 713, 11460, 267, 2083, 619, 1711, 4566, 547, 23231, 693, 2547, 851, 540, 741, 7963, 936, 942, 269, 15706, 1419, 3758, 3848, 476, 1724, 28153, 267, 6466, 14078, 1904, 585, 3848, 476, 1556, 780, 24400, 1063, 891, 3681, 5673, 593, 1585, 2188, 267, 1519, 4747, 1377, 267, 2698, 7963, 267, 543, 10697, 9562, 269, 1323, 4810, 28153, 18607, 2337, 3313, 519, 1655, 2619, 4464, 1282, 891, 4101, 2053, 780, 1692, 6496, 7813, 4533, 1097, 4518, 2496, 763, 1184, 5956, 950, 2576, 6119, 513, 21936, 609, 519, 5480, 16153, 1154, 789, 3112, 2628, 741, 22440, 269, 4495, 19429, 267, 606, 13128, 3251, 4422, 883, 1198, 267, 7303, 1034, 4015, 3527, 1996, 519, 2083, 518, 269, 3973, 2501, 12570, 519, 3510, 267, 11008, 1944, 22440, 267, 7114, 23614, 3959, 267, 3981, 532, 8569, 4566, 630, 604, 10858, 1070, 543, 17729, 1354, 513, 9794, 585, 13170, 780, 2252, 3811, 267, 519, 1267, 568, 2901, 11166, 630, 516, 3161, 689, 2123, 15668, 585, 1978, 22440, 264, 610, 556, 32360, 630, 320, 11295, 1544, 547, 23231, 22440, 1040, 5457, 267, 1498, 267, 602, 1312, 10092, 2097, 609, 4539, 18363, 835, 781, 2702, 547, 1569, 5491, 1524, 519, 1899, 780, 6962, 692, 4407, 18864, 6499, 547, 1439, 909, 538, 513, 2990, 1141, 28153, 4667, 899, 519, 1152, 3070, 267, 1620, 922, 3483, 543, 11707, 666, 1683, 4313, 9624, 17173, 6381, 269, 6145, 9494, 909, 585, 602, 5326, 11332, 7444, 543, 20406, 267, 5883, 18083, 19100, 3788, 1898, 1256, 950, 2250, 9073, 1291, 547, 31837, 25236, 762, 7963, 269, 1656, 1175, 607, 6998, 585, 8846, 5012, 721, 6251, 547, 938, 10278, 267, 17874, 4648, 8036, 538, 7829, 28153, 2665, 2488, 3407, 5583, 4724, 1036, 8724, 1852, 936, 30313, 720, 762, 2883, 24675, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 289, 1678, 4533, 1097, 4521, 9807, 538, 14351, 2023, 267, 11404, 267, 2136, 2276, 5440, 7813, 4533, 1097, 30374, 14033, 1411, 454, 12749, 28153, 17864, 14351, 2023, 267, 11404, 267, 2136, 2276, 910, 7813, 4533, 1097, 27192, 13404, 593, 1202, 565, 1597, 1097, 8320, 269, 1879, 3168, 585, 1876, 995, 26841, 538, 1202, 565, 1597, 1097, 267, 596, 3513, 1616, 547, 3406, 585, 513, 19023, 28153, 15818, 267, 711, 513, 2489, 19995, 269, 3502, 1175, 1281, 2123, 28153, 2154, 9301, 519, 2179, 540, 3741, 954, 7758, 622, 267, 1793, 6235, 909, 666, 581, 3902, 344, 269, 4107, 3656, 13222, 786, 711, 3398, 513, 2123, 28153, 3390, 8259, 789, 3635, 28153, 9086, 593, 513, 2834, 4493, 269, 18833, 18825, 602, 1185, 606, 5140, 1995, 609, 513, 2123, 28153, 18607, 568, 3335, 707, 20923, 2707, 269, 11910, 602, 3656, 11347, 7620, 269, 2659, 15818, 1223, 917, 513, 1390, 28153, 18607, 267, 607, 1134, 269, 2107, 267, 952, 513, 4759, 540, 519, 1920, 610, 513, 1434, 3659, 1031, 513, 15818, 538, 513, 1875, 23810, 4533, 1097, 2339, 267, 2307, 602, 3656, 11347, 952, 789, 1131, 6157, 18973, 606, 1202, 565, 1597, 1097, 18607, 269, 1403, 596, 2811, 10478, 585, 513, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 289, 1678, 4533, 1097, 543, 6184, 565, 1597, 1097, 257, 607, 851, 540, 834, 30311, 1315, 6355, 1299, 11038, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 7170, 281, 24531, 22798, 14924, 7870, 3414, 17826, 692, 5970, 596, 2479, 3144, 513, 3802, 998, 519, 24781, 286, 5620, 596, 14952, 539, 693, 519, 5318, 1930, 4610, 267, 26009, 4054, 267, 543, 32668, 11396, 286, 1403, 865, 267, 1287, 596, 4312, 4810, 519, 13300, 540, 6917, 8916, 256, 589, 6917, 5251, 4016, 547, 519, 2067, 2934, 1336, 3544, 4872, 543, 10034, 267, 1519, 12902, 15113, 267, 18932, 7733, 267, 543, 30832, 1782, 11396, 269, 2913, 781, 2263, 875, 649, 666, 946, 6965, 547, 7001, 519, 9759, 540, 891, 4190, 4025, 780, 22437, 2045, 20905, 547, 14674, 22798, 14924, 7870, 692, 2467, 616, 1585, 19621, 3457, 602, 15023, 946, 547, 4766, 6917, 8916, 12667, 569, 269, 1284, 786, 1865, 1614, 1898, 3283, 1934, 281, 11052, 267, 1268, 2305, 267, 543, 14165, 780, 265, 22569, 2044, 910, 901, 3926, 22587, 547, 938, 12823, 676, 1210, 10855, 1893, 269, 1879, 5830, 1616, 721, 547, 4952, 1018, 1945, 5654, 899, 267, 789, 1711, 3308, 2592, 269, 1280, 1383, 267, 1413, 693, 713, 1899, 281, 834, 763, 11344, 3141, 5036, 3297, 519, 7381, 267, 3039, 533, 1149, 1701, 2052, 1405, 596, 1175, 1294, 621, 286, 1411, 1522, 1256, 1745, 14246, 689, 519, 4259, 3141, 610, 5873, 5017, 669, 597, 4771, 1851, 519, 8371, 563, 265, 12287, 2305, 910, 901, 4480, 6770, 3615, 610, 2035, 547, 1272, 676, 4758, 873, 1480, 7907, 269, 1635, 3257, 865, 267, 519, 5856, 2337, 3988, 1106, 6793, 4296, 547, 2470, 269, 6333, 713, 4845, 281, 834, 20360, 26866, 619, 11580, 1063, 15309, 1782, 3762, 1701, 3767, 267, 2119, 3182, 1005, 519, 2842, 607, 513, 7874, 1650, 339, 11839, 4687, 8941, 609, 8797, 2025, 3529, 2828, 563, 265, 5450, 777, 1817, 910, 10313, 11143, 1500, 1210, 1913, 971, 607, 834, 3697, 2437, 834, 553, 952, 2437, 610, 3274, 31552, 16726, 948, 6655, 1950, 4664, 610, 17915, 269, 1323, 1383, 1131, 581, 281, 834, 288, 8778, 528, 1208, 4364, 2059, 519, 2361, 267, 726, 12976, 24091, 896, 519, 16027, 781, 4585, 995, 3750, 267, 899, 513, 10121, 2915, 2324, 7258, 922, 4487, 3010, 16240, 2659, 13574, 22798, 23721, 7313, 655, 692, 3086, 621, 781, 707, 2490, 256, 10670, 23730, 1913, 2404, 609, 6917, 8916, 267, 5373, 6667, 689, 2123, 2833, 610, 2984, 3838, 4505, 269, 6056, 827, 4778, 267, 4992, 267, 24462, 267, 4606, 267, 543, 3527, 4448, 547, 891, 5468, 269, 5457, 267, 972, 616, 1100, 4636, 4267, 950, 2870, 1148, 2439, 9202, 267, 3442, 930, 540, 1346, 1913, 543, 6582, 873, 883, 5220, 1210, 519, 19621, 2553, 5941, 269, 10312, 593, 859, 3183, 7553, 543, 18136, 3988, 547, 6443, 596, 538, 7680, 519, 6429, 269, 18461, 1863, 547, 23590, 543, 13217, 2394, 13854, 780, 2080, 781, 606, 1383, 6648, 2854, 538, 713, 2511, 1384, 20112, 523, 26106, 802, 32022, 9900, 2676, 289, 2940, 987, 513, 6607, 13556, 20842, 675, 2676, 290, 4459, 1115, 2206, 741, 3440, 611, 563, 2662, 529, 27128, 12798, 4163, 1085, 757, 2676, 8170, 18720, 337, 1938, 267, 13212, 22691, 543, 4712, 563, 293, 3658, 1831, 19209, 338, 2676, 8489, 17409, 30172, 2066, 23898, 563, 26903, 15824, 513, 1623, 21620, 2676, 2026, 1554, 1147, 16781, 619, 28663, 547, 3781, 6420, 780, 6962, 692, 18698, 6917, 8916, 998, 6965, 2636, 721, 547, 1921, 7184, 609, 2470, 1247, 7393, 3860, 4082, 1983, 269, 2060, 2259, 267, 4896, 666, 10244, 519, 1379, 540, 19621, 3457, 547, 3142, 9800, 1022, 1747, 16697, 762, 256, 8414, 1603, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 14976, 1047, 1656, 28584, 320, 729, 6659, 593, 513, 28599, 7823, 3484, 689, 519, 2085, 540, 8370, 269, 634, 1016, 331, 830, 3552, 5898, 4478, 1200, 1753, 7494, 6766, 543, 6273, 1200, 8343, 540, 519, 2067, 1158, 269, 2701, 3459, 7206, 2199, 7320, 267, 6917, 8916, 267, 543, 1200, 4677, 5810, 693, 513, 1762, 2085, 269, 670, 11691, 609, 9640, 267, 5986, 593, 513, 3574, 23041, 267, 12391, 585, 6469, 3484, 2831, 267, 543, 9544, 513, 1804, 5214, 4677, 12422, 941, 1200, 3232, 543, 12119, 4798, 269, 4432, 1047, 814, 17820, 267, 4465, 17758, 267, 543, 1185, 1200, 960, 6394, 1472, 519, 1158, 269, 2701, 21593, 7206, 689, 1200, 1272, 2833, 269, 2701, 814, 11609, 2835, 267, 17476, 267, 543, 824, 1570, 585, 1896, 4589, 269, 4173, 1378, 11609, 1453, 779, 1433, 267, 717, 657, 779, 8262, 14134, 338, 630, 24742, 4528, 264, 543, 717, 17879, 779, 8262, 14134, 338, 630, 326, 20071, 4528, 264, 827, 513, 4816, 575, 657, 1782, 543, 979, 846, 3993, 267, 729, 9102, 538, 28599, 538, 476, 1001, 274, 563, 14976, 1047, 814, 2016, 4357, 543, 1895, 7206, 4245, 543, 11925, 585, 1082, 1296, 563, 7021, 835, 4627, 540, 4432, 1047, 779 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 274, 1775, 12036, 12289, 2104, 2029, 1223, 849, 2569, 2800, 547, 21127, 2443, 835, 540, 519, 3844, 6663, 540, 519, 1876, 540, 2112, 2443, 676, 17401, 23622, 519, 946, 540, 3196, 593, 922, 563, 7072, 281, 9604, 2029, 1447, 5827, 17837, 616, 4166, 4389, 547, 1368, 20482, 8759, 12485, 267, 543, 1480, 1942, 540, 2112, 721, 8128, 3494, 602, 575, 5285, 2112, 6794, 729, 3361, 676, 1970, 269, 634, 1775, 12036, 2112, 281, 4640, 267, 12485, 267, 543, 4108, 4245, 3593, 2689, 910, 711, 2139, 910, 1433, 2357, 18743, 1256, 607, 7819, 4108, 10986, 616, 10010, 609, 519, 21987, 540, 519, 1775, 12036, 2112, 267, 519, 7521, 5170, 936, 1946, 543, 875, 649, 2968, 3238, 267, 1018, 5949, 1282, 519, 2112, 267, 543, 811, 1271, 267, 1018, 269, 1530, 523, 689, 519, 642, 656, 720, 1448, 540, 476, 1001, 277, 267, 519, 10875, 11802, 602, 729, 519, 575, 5285, 2112, 540, 476, 1960, 272, 267, 602, 1390, 7432, 1448, 538, 7819, 4108, 1686, 543, 3486, 6214, 267, 4667, 547, 723, 4503, 269, 769, 519, 642, 28126, 2112, 267, 1034, 540, 5087, 642, 2884, 17592, 543, 642, 2884, 7249, 781, 9604, 543, 16491, 906, 3357, 689, 865, 341, 2884, 9769, 543, 19580, 585, 3236, 267, 513, 330, 268, 5325, 267, 799, 729, 13166, 1031, 676, 519, 865, 341, 2884, 11439, 4229, 267, 2968, 519, 3119, 26462, 14049, 540, 562, 9366, 543, 519, 642, 2884, 7249, 563, 268, 519, 1086, 1014, 575, 5285, 2112, 519, 2112, 538, 519, 1086, 1014, 575, 5285, 729, 513, 2112, 540, 3909, 3870, 267, 16970, 5718, 267, 543, 26846, 9390, 7088, 610, 811, 4122, 1634, 1028, 519, 17075, 2112, 729, 519, 1482, 1826, 540, 2112, 602, 1185, 934, 29471, 538, 713, 1858, 585, 1082, 1296, 4849, 585, 835, 1249, 269, 26062, 19317, 1296, 3516, 2112, 680, 6951, 689, 519, 721, 21445, 19710, 1085, 872, 3481, 936, 737, 17703, 7159, 2038, 593, 23891, 4231, 476, 1704, 267, 476, 1960, 272, 267, 1129, 16226, 519, 1376, 540, 519, 575, 5285, 2112, 799, 8694, 1775, 12036, 781, 13567, 3670, 4374, 2663, 269, 24641, 9604, 723, 2141, 5280, 3313, 12485, 267, 12485, 538, 2490, 5280, 3313, 3919, 267, 4238, 267, 4640, 267, 17825, 267, 543, 4971, 543, 1852, 1949, 782, 891, 941, 9141, 676, 519, 2029, 538, 946, 543, 267, 538, 2490, 267, 22755, 621, 2059, 269, 5239, 476, 2537, 268, 2918, 267, 476, 3707, 275, 910, 1158, 2112, 13797, 281, 721, 17189, 4229, 14710, 519, 29534, 693, 519, 6370, 540, 682, 344, 974, 575, 5285, 267, 6679, 519, 1259, 585, 519, 12289, 540, 519, 15599, 2089, 1149, 632, 4895, 476, 1626, 267, 476, 3707, 275, 910, 1158, 2112, 13797, 281, 24141, 4229, 10131, 513, 7372, 18086, 538, 519, 818, 323, 15086, 267, 4098, 519, 6370, 540, 519, 4439, 613, 269, 769, 513, 2112, 602, 12286, 1025, 6308, 330, 686, 1122, 338, 267, 642, 273, 31244, 267, 543, 6046, 9604, 267, 621, 781, 2653, 547, 7340, 827, 930, 540, 519, 811, 2025, 6066, 344, 9604, 543, 12485, 1031, 1282, 519, 4655, 563, 7922, 6308, 330, 686, 1122, 267, 630, 326, 9007, 281, 17500, 2112, 264, 4108, 8671, 545, 7229, 547, 1711, 5626, 8710, 543, 25739, 771, 32360, 538, 10546, 4229, 998, 519, 7694, 540, 9983, 267, 3432, 267, 543, 27166, 538, 1319, 2946, 21119, 610, 3595, 12741, 269, 21826, 7760, 538, 2029, 1063, 519, 1158, 10617, 4718, 562, 6523, 262, 5107, 4228, 1586, 607, 789, 2968, 12665, 538, 7382, 267, 5907, 267, 543, 8484, 5826, 476, 275, 1158, 2112, 13797, 26870, 1583, 613, 1218, 607, 26462, 27805, 3401, 269, 3371, 616, 476, 1015, 8441, 538, 2564, 2029, 602, 3357, 2047, 856, 540, 519, 1775, 12036, 543, 7192, 12174, 6017, 10617, 2112, 1419, 5713, 607, 513, 18463, 585, 1689, 543, 5647, 24076, 568, 713, 811, 3020, 982, 538, 519, 563, 763, 5728, 540, 7819, 11802, 538, 1158, 2112, 13797, 729, 7274, 543, 2298, 2941, 1190, 5666, 540, 9604, 543, 3937, 602, 711, 1152, 16397, 543, 856, 3901, 3481, 519, 7852, 19070, 531, 267, 855, 5280, 5512, 22937, 269, 3933, 1105, 626, 4108, 13120, 538, 1158, 2112, 13797, 3025, 6487, 602, 4108, 2029, 2919, 6385, 1282, 519, 2034, 1158, 2112, 513, 4655, 799, 1869, 12286, 1979, 13807, 6951, 543, 29816, 10997, 8694, 609, 15191, 27668, 267, 11461, 28862, 543, 10570, 9604, 269, 769, 2110, 267, 519, 2645, 540, 2112, 723, 1044, 9687, 7444, 2429, 519, 1576, 540, 1480, 1686, 267, 855, 1152, 538, 519, 2413, 1158, 814, 972, 1044, 606, 12250, 1242, 543, 7787, 1242, 7271, 585, 11179, 543, 18928, 3048, 908, 4108, 2029, 563, 4322, 1806, 9414, 519, 10565, 8441, 538, 14049, 2029, 936, 519, 2063, 1079, 5756, 267, 799, 24319, 3006, 3277, 547, 607, 519, 4838, 538, 4108, 12602, 476, 277, 519, 8087, 2829, 1631, 4610, 5215, 540, 269, 7053, 519, 536, 25900, 13137, 2085, 4718, 519, 1646, 540, 6211, 267, 3114, 543, 6046, 9604, 607, 519, 10700, 3595, 1489, 9604, 855, 607, 9604, 540, 2112, 891, 8959, 607, 519, 1981, 540, 15583, 566, 1500, 873, 8035, 762, 676, 782, 855, 519, 1034, 18174, 25836, 540, 4108, 4971, 619, 269, 4658, 945, 4483, 4108, 2029, 547, 1022, 4914, 1379, 267, 2901, 998, 9042, 610, 17403, 267, 1058, 581, 15597, 6836, 543, 14805, 3320, 13401, 585, 1726, 1783, 602, 1131, 15658, 930, 540, 519, 17403, 269, 5303, 814, 1279, 1044, 513, 14045, 3815, 593, 519, 25071, 267, 689, 3532, 25044, 547, 1007, 14049, 787, 547, 10124, 538, 519, 15798, 543, 519, 22839, 563, 763, 575, 5285, 2112, 538, 476, 1960, 272, 267, 519, 8165, 936, 737, 657, 26785, 267, 519, 3355, 12289, 540, 7192, 12174, 6017, 267, 543, 519, 721, 21445, 12289, 540, 1775, 12036, 547, 547, 653, 548, 513, 521, 5417, 600, 8152, 572, 514, 782, 8604, 547, 6961, 602, 9120, 2029, 543, 12485, 1185, 3366, 547, 513, 4838, 538, 4108, 12602, 630, 337, 2742, 264, 602, 1131, 20441, 2413, 13137, 269, 3367, 519, 1898, 3877, 827, 519, 4640, 543, 12485, 538, 519, 1101, 1158, 2112, 4994, 10624, 6810, 1331, 910, 519, 11634, 12340, 742, 325, 523, 1544, 267, 29862, 338, 1299, 986, 1749, 267, 7113, 333, 2454, 267, 2879, 760, 619, 267, 25044, 3046, 14141, 267, 29816, 12485, 267, 20841, 3154, 269, 6348, 6122, 11209, 4066, 281, 6286, 585, 4108, 4640, 795, 24944, 5609, 14166, 14024, 267, 3935, 601, 267, 721, 2378, 15292, 476, 1960, 279, 519, 17573, 4574, 729, 3964, 676, 519, 4099, 585, 4640, 543, 2029, 607, 513, 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 ]
[ 8489, 12984, 4906, 4438, 519, 8422, 17963, 6969, 3571, 1763, 18675, 888, 2691, 4906, 5747, 543, 729, 9788, 547, 1964, 593, 11016, 10543, 267, 519, 1158, 22378, 2740, 269, 3973, 267, 693, 519, 11523, 540, 21554, 593, 519, 1739, 10732, 6640, 267, 1010, 1351, 335, 572, 729, 759, 584, 5550, 539, 689, 519, 4666, 543, 4547, 856, 540, 519, 19772, 269, 4438, 519, 942, 602, 4906, 685, 1560, 729, 538, 519, 19772, 267, 2705, 267, 1141, 729, 4906, 685, 6891, 15720, 286, 23075, 1281, 711, 1683, 513, 25685, 3210, 547, 713, 2243, 269, 1717, 267, 621, 1281, 1683, 721, 609, 513, 1906, 23456, 269, 11153, 540, 971, 968, 743, 1132, 892, 786, 581, 5941, 538, 713, 2376, 267, 2059, 609, 930, 8292, 689, 1776, 3504, 2707, 563, 763, 16961, 32267, 542, 540, 4906, 568, 6592, 538, 782, 2185, 575, 28145, 269, 4340, 547, 519, 1614, 5348, 641, 6776, 575, 28145, 267, 972, 941, 1079, 811, 1004, 16961, 1881, 22290, 4906, 593, 602, 1880, 1554, 269, 19279, 267, 593, 519, 824, 1688, 267, 2488, 513, 1469, 602, 568, 15534, 689, 519, 824, 2984, 269, 2290, 540, 519, 3775, 1499, 945, 941, 16961, 1881, 609, 4906, 7902, 547, 5431, 4906, 543, 7281, 539, 602, 4906, 1131, 3314, 1864, 950, 646, 9411, 1010, 10806, 630, 299, 8123, 476, 2537, 281, 2412, 268, 5655, 1040, 1261, 729, 21407, 676, 4906, 602, 646, 1131, 581, 609, 1864, 538, 27032, 602, 1554, 267, 543, 602, 646, 1131, 581, 609, 1864, 11014, 630, 299, 8123, 476, 2537, 281, 6246, 1916, 2026, 10353, 547, 2983, 1156, 3534, 267, 799, 729, 519, 15335, 540, 519, 29063, 267, 21537, 1047, 729, 519, 1753, 540, 519, 4075, 6681, 950, 789, 5747, 563, 8253, 693, 930, 1448, 538, 519, 2104, 267, 855, 1318, 1631, 267, 1318, 1631, 563, 4913, 267, 602, 24446, 568, 1869, 930, 942, 538, 519, 2104, 267, 2094, 621, 19179, 1080, 519, 2132, 540, 4906, 563, 7093, 2286, 547, 519, 9454, 1080, 538, 29277, 454, 2467, 568, 513, 2034, 14235, 538, 519, 6426, 602, 1082, 1004, 1745, 814, 1945, 547, 2161, 827, 713, 1888, 607, 1134, 269, 769, 476, 272, 8834, 476, 274, 281, 1240, 268, 2420, 267, 8834, 14753, 540, 4906, 685, 2669, 267, 24446, 267, 543, 10841, 3290, 883, 519, 4527, 540, 2696, 519, 12429, 269, 1703, 568, 513, 3296, 540, 713, 3184, 602, 568, 2352, 547, 10146, 267, 543, 621, 814, 19430, 513, 1297, 540, 1114, 12496, 2429, 519, 1296, 269, 1261, 729, 2322, 547, 2669, 538, 519, 1560, 267, 855, 646, 729, 6659, 547, 1272, 538, 519, 13336, 267, 2687, 547, 8834, 538, 713, 1257, 269, 3973, 267, 1310, 1373, 6659, 689, 519, 4666, 543, 2016, 519, 2702, 547, 3717, 267, 4906, 4682, 543, 1500, 605, 17474, 547, 519, 29802, 14326, 1107, 547, 1346, 945, 1185, 1044, 15141, 1190, 1279, 3516, 950, 2696, 31372, 3461, 569, 538, 519, 2395, 540, 25424, 1247, 519, 818, 330, 729, 1373, 9112, 630, 272, 8834, 476, 274, 281, 1240, 268, 2420, 1916, 268, 6904, 14326, 941, 1373, 4371, 27604, 267, 1141, 941, 789, 267, 1018, 5048, 1705, 4906, 5838, 547, 873, 267, 543, 950, 1705, 646, 798, 865, 616, 782, 7164, 563, 268, 4911, 1564, 602, 1705, 711, 2226, 741, 4025, 540, 5718, 855, 3079, 19679, 741, 3617, 15335, 723, 1044, 29802, 538, 14334, 267, 5832, 539, 609, 18163, 11800, 2394, 519, 1390, 4303, 540, 7225, 8540, 563, 268, 1548, 1705, 4906, 2161, 547, 519, 14326, 602, 941, 29802, 538, 519, 19772, 888, 268, 5502, 267, 621, 779, 811, 21483, 602, 646, 779, 3045, 23395, 1010, 17636, 936, 873, 543, 741, 27136, 17171, 1996, 519, 786, 540, 2696, 563, 268, 1879, 4010, 1705, 713, 17083, 1491, 1747, 888, 268, 1809, 1018, 4010, 1281, 621, 1611, 547, 581, 968, 321, 3754, 9800, 538, 519, 13336, 892, 888, 268, 901, 10071, 1131, 581, 27185, 19861, 2394, 1310, 4906, 685, 24446, 267, 543, 621, 1131, 723, 1100, 12946, 593, 519, 1974, 540, 942, 1063, 4906, 685, 2669, 543, 24446, 267, 952, 713, 568, 519, 2013, 563, 4913, 649, 4612, 713, 14235, 267, 621, 1281, 711, 1683, 3841, 775, 547, 519, 4922, 4371, 3661, 602, 4906, 729, 513, 26956, 540, 22946, 693, 519, 942, 540, 519, 2621, 4330, 1934, 269, 1284, 3580, 723, 547, 979, 11992, 585, 621, 563, 7212, 922, 3169, 5169, 543, 4266, 616, 7334, 267, 519, 24347, 548, 779, 595, 7517, 568, 606, 2038, 17083, 540, 4168, 14985, 602, 7389, 1394, 547, 519, 1101, 2540, 269, 901, 3841, 334, 2882, 519, 3948, 827, 4906, 602, 646, 968, 13195, 16961, 1881, 267, 5747, 267, 543, 729, 12617, 282, 646, 4682, 883, 22946, 1848, 901, 3948, 827, 4906, 568, 3769, 538, 713, 1212, 539, 269, 968, 4002, 519, 3791, 1554, 267, 4906, 9782, 689, 519, 4666, 1848, 769, 1978, 10580, 267, 519, 8360, 968, 515, 32168, 539, 883, 22946, 892, 568, 3181, 23534, 269, 2368, 29559, 723, 4956, 547, 798, 2476, 609, 621, 269, 11524, 723, 4957, 621, 547, 5815, 602, 646, 968, 9188, 322, 2105, 883, 519, 896, 16447, 1848, 3733, 3661, 568, 602, 621, 568, 2565, 547, 11760, 602, 519, 24347, 548, 779, 595, 7517, 568, 711, 23075, 543, 814, 2760, 1044, 6444, 547, 581, 865, 563, 268, 2060, 519, 9868, 540, 519, 6376, 827, 4906, 1373, 2366, 883, 22946, 563, 268, 634, 14191, 1131, 2408, 547, 581, 476, 272, 8834, 476, 274, 281, 1240, 268, 2420, 267, 799, 814, 2907, 1044, 8947, 563, 268, 6736, 713, 267, 621, 568, 1360, 7805, 689, 519, 14644, 999, 602, 4906, 729, 711, 513, 26956, 538, 22946, 585, 1346, 1614, 2395, 563, 268, 1403, 4906, 1705, 13956, 883, 22946, 267, 646, 1705, 865, 607, 513, 4619, 16124, 20630, 528, 2864, 982, 607, 513, 695, 871, 1194, 26956, 267, 2687, 547, 519, 1715, 11620, 563, 1432, 6496, 901, 6399, 888, 7212, 922, 3169, 5169, 543, 4266, 616, 7334, 267, 519, 24347, 548, 779, 595, 7517, 568, 513, 17083, 540, 4168, 14985, 602, 7389, 1394, 547, 519, 1101, 2540, 269, 634, 3948, 7282, 4906, 602, 646, 968, 13195, 16961, 1881, 267, 5747, 267, 543, 729, 12617, 282, 646, 4682, 883, 22946, 892, 568, 3769, 538, 713, 3841, 334, 269, 1261, 759, 584, 5550, 539, 689, 519, 4666, 593, 519, 3791, 1554, 269, 1703, 568, 930, 7521, 936, 519, 8360, 968, 515, 32168, 539, 883, 22946, 1848, 2368, 29559, 723, 1904, 539, 547, 798, 2476, 609, 621, 4625, 269, 634, 8360, 968, 9188, 322, 2105, 547, 519, 4666, 892, 568, 3006, 1031, 3079, 563, 268, 1717, 267, 621, 568, 8185, 6766, 676, 519, 6426, 563, 268, 901, 1826, 540, 8631, 568, 711, 2938, 9170, 3116, 538, 519, 6426, 563, 268, 1717, 267, 621, 814, 849, 1044, 6700, 602, 519, 14235, 538, 9210, 1127, 2103, 476, 275, 281, 280, 12211, 547, 713, 267, 855, 594, 3494, 621, 568, 811, 2693, 547, 3277, 547, 1010, 1651, 28271, 563, 268, 2051, 1601, 2103, 476, 273, 281, 1428, 267, 593, 519, 824, 1688, 267, 5526, 547, 1533, 519, 11201, 281, 968, 4517, 2348, 771, 28534, 519, 7060, 543, 8128, 267, 646, 1500, 513, 1857, 4715, 12386, 540, 873, 267, 17636, 532, 936, 873, 676, 519, 3444, 1848, 30616, 543, 782, 945, 941, 4448, 609, 1864, 941, 8709, 638, 1639, 693, 519, 3723, 540, 519, 3444, 563, 2252, 4906, 1705, 13956, 883, 22946, 267, 646, 1705, 865, 607, 513, 4619, 16124, 20630, 528, 2864, 982, 607, 513, 5832, 539, 26956, 267, 2687, 547, 519, 1715, 11620, 1257, 563, 9989, 519, 6426, 15681, 2974, 7316, 4906, 12984, 519, 8422, 17963, 9737, 3571, 12280, 543, 1763, 18675, 888, 2691, 4906, 5747, 267, 1705, 1261, 5612, 10841, 754, 547, 519, 17599, 540, 18710, 286, 1772, 621, 2009, 602, 1261, 26731, 883, 22946, 538, 1931, 547, 15063, 1004, 945, 723, 1044, 29802, 676, 5609, 286, 12984, 1261, 538, 513, 2783, 540, 1929, 2692, 267, 1625, 326, 2218, 267, 610, 22946, 693, 519, 942, 540, 1010, 2669, 286, 1284, 917, 602, 4906, 5747, 267, 729, 12617, 267, 543, 729, 24111, 593, 519, 3791, 1554, 267, 855, 1141, 729, 1261, 1282, 519, 942, 1063, 3571, 2669, 267, 19746, 267, 543, 24446, 267, 543, 1141, 1705, 1261, 979, 1310, 3571, 24446, 888, 8489, 9894, 4906, 3619, 2991, 3571, 12280, 593, 519, 9061, 888, 1103, 476, 272, 8834, 476, 274, 281, 1240, 268, 736, 267, 519, 24347, 548, 8834, 4016, 547, 4906, 2469, 547, 840, 778, 547, 1004, 945, 616, 968, 574, 1440, 2581, 539, 14326, 2223, 543, 3081, 267, 968, 27716, 786, 840, 778, 547, 873, 945, 616, 29802, 14326, 1848, 9232, 1280, 2441, 849, 5747, 585, 21359, 2899, 543, 585, 782, 267, 519, 1175, 585, 519, 24407, 267, 538, 1931, 602, 1261, 1522, 31363, 721, 547, 2696, 267, 2348, 1044, 2322, 547, 2669, 538, 519, 17145, 855, 6659, 547, 1272, 538, 519, 6891, 282, 538, 799, 1261, 849, 4682, 543, 1500, 605, 17474, 547, 519, 14326, 1631, 538, 7890, 267, 945, 2899, 941, 27136, 539, 1304, 267, 950, 519, 9639, 540, 2696, 31372, 538, 519, 2395, 540, 25424, 267, 1282, 519, 4070, 540, 519, 818, 330, 267, 538, 799, 513, 1906, 267, 602, 568, 267, 5216, 7606, 267, 941, 4547, 9108, 998, 519, 1216, 267, 950, 9232, 634, 1249, 602, 4906, 729, 2322, 547, 2669, 968, 514, 519, 17145, 2943, 6659, 547, 1272, 538, 519, 6891, 892, 6920, 602, 2669, 729, 8572, 547, 9787, 13924, 563, 268, 1261, 729, 5609, 1652, 267, 2094, 2669, 568, 519, 15163, 540, 5609, 630, 305, 558, 476, 277, 281, 2537, 1070, 855, 1317, 4906, 1185, 2760, 5609, 2740, 267, 1010, 9997, 729, 2111, 547, 2611, 9800, 1256, 1247, 1261, 11124, 2669, 968, 514, 519, 17145, 892, 630, 272, 8834, 476, 274, 281, 1240, 1916, 268, 634, 2669, 814, 1100, 1379, 936, 5544, 1652, 17145, 267, 543, 621, 568, 585, 713, 2601, 602, 1346, 945, 616, 2441, 779, 786, 581, 759, 584, 5550, 539, 547, 18163, 1272, 267, 585, 3571, 32660, 568, 20295, 547, 1346, 945, 1747, 741, 5132, 538, 13924, 563, 268, 12984, 713, 519, 605, 17474, 540, 519, 22258, 267, 610, 1945, 3116, 888, 268, 1772, 621, 2009, 602, 4906, 5340, 713, 1247, 3571, 1560, 729, 538, 519, 18205, 888, 5278, 3494, 602, 4906, 840, 3737, 630, 2889, 13094, 264, 519, 22258, 547, 1346, 945, 5747, 538, 519, 6360, 945, 1185, 2760, 4862, 519, 22258, 1354, 267, 543, 602, 1346, 945, 5747, 538, 519, 6360, 1223, 1631, 5873, 621, 1317, 4906, 1185, 711, 2943, 5747, 547, 4688, 873, 267, 543, 602, 1346, 945, 5747, 538, 519, 6360, 1223, 1631, 5873, 621, 1317, 4906, 1185, 711, 2943, 5747, 547, 4688, 873, 563, 268, 898, 1281, 711, 1533, 2436, 610, 711, 789, 786, 581, 2016, 1776, 4960, 1310, 2669, 563, 268, 8409, 945, 3494, 602, 4906, 4682, 547, 1346, 11361, 25598, 540, 519, 6196, 11620, 945, 941, 538, 21537, 1047, 855, 941, 711, 2943, 538, 13140, 1317, 4906, 1185, 711, 2943, 6192, 693, 821, 618, 585, 741, 21359, 616, 1634, 607, 3284, 32565, 31188, 2103, 563, 268, 4906, 1705, 711, 17551, 267, 968, 9213, 596, 786, 581, 609, 803, 538, 13140, 2223, 607, 1866, 723, 10645, 563, 268, 1548, 4010, 568, 8834, 13288, 547, 538, 891, 18627, 888, 1103, 1261, 3691, 9749, 476, 1556, 267, 519, 865, 10777, 295, 718, 540, 18321, 267, 621, 1281, 711, 2408, 602, 519, 6196, 11620, 21071, 991, 513, 605, 17474, 689, 4906, 1317, 789, 616, 782, 7150, 607, 1373, 21407, 538, 2696, 779, 28099, 25977, 3483, 267, 11021, 602, 789, 1705, 711, 2154, 971, 513, 5048, 563, 27716, 685, 1160, 17474, 547, 519, 5915, 976, 454, 2691, 4906, 729, 29802, 267, 621, 568, 7150, 602, 646, 9783, 513, 5048, 547, 968, 1492, 14326, 4867, 538, 7890, 1848, 5221, 1004, 616, 2760, 5219, 547, 607, 968, 338, 2869, 1080, 892, 538, 519, 6426, 267, 621, 5526, 602, 713, 568, 513, 4704, 547, 27313, 14326, 945, 616, 29802, 538, 519, 705, 903, 338, 267, 543, 602, 891, 1629, 976, 616, 15468, 23109, 945, 941, 29802, 538, 519, 705, 903, 338, 1317, 540, 741, 29695, 9409, 269, 898, 779, 1945, 899, 713, 602, 568, 3769, 538, 519, 1353, 4967, 540, 3627, 5839, 6635, 11037, 779, 5530, 6426, 630, 2464, 309, 264, 630, 335, 476, 6245, 275, 1040, 769, 7225, 324, 476, 277, 268, 278, 267, 621, 14509, 267, 968, 4517, 519, 23109, 945, 1705, 711, 2226, 741, 4025, 540, 1379, 267, 855, 3079, 14460, 741, 3617, 23029, 9789, 572, 646, 814, 16876, 538, 14334, 267, 695, 871 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5970, 596, 2479, 9289, 875, 2147, 610, 1114, 1079, 2829, 616, 286, 634, 3557, 5381, 640, 28951, 8942, 547, 22945, 875, 2147, 2829, 616, 547, 1142, 824, 3448, 547, 824, 2829, 269, 634, 4994, 568, 513, 19250, 2861, 1259, 547, 2268, 713, 269, 634, 4994, 12035, 8449, 2947, 2101, 3344, 540, 2829, 281, 741, 22097, 267, 2528, 267, 6214, 267, 5989, 267, 543, 11585, 269, 634, 1382, 10905, 476, 272, 267, 1822, 1114, 1239, 2798, 269, 3962, 2460, 729, 10199, 7059, 14961, 1063, 7274, 270, 704, 1417, 720, 543, 2298, 270, 6943, 269, 6423, 713, 2022, 585, 513, 2407, 7778, 281, 3557, 5381, 640, 28951, 454, 10468, 24902, 568, 2147, 547, 1082, 2829, 538, 519, 3345, 6239, 851, 540, 519, 2136, 2276, 269, 634, 1283, 1034, 476, 276, 2147, 2829, 616, 782, 4092, 2059, 519, 16713, 5211, 269, 5015, 267, 789, 616, 782, 2244, 6674, 539, 267, 23661, 569, 20651, 267, 543, 723, 1034, 540, 741, 2244, 13991, 547, 6683, 269, 769, 1840, 267, 741, 2551, 568, 711, 2523, 7292, 569, 3309, 269, 1452, 2829, 849, 4043, 547, 3870, 519, 17044, 9549, 563, 12749, 476, 276, 2276, 4107, 5381, 547, 27228, 454, 268, 17857, 543, 27228, 616, 1079, 540, 519, 1034, 2147, 2829, 269, 4256, 11182, 941, 1256, 2813, 693, 519, 1482, 942, 676, 519, 17857, 1700, 10468, 24902, 2920, 540, 476, 6977, 275, 269, 1703, 568, 711, 513, 2462, 3017, 1063, 873, 538, 1022, 2460, 269, 12846, 267, 14912, 568, 811, 2442, 538, 17857, 267, 1813, 547, 519, 4222, 540, 519, 2160, 540, 17857, 2319, 269, 898, 849, 814, 513, 2539, 5934, 13230, 982, 16713, 543, 3340, 606, 9517, 547, 8917, 269, 6271, 3017, 568, 602, 17857, 814, 811, 9993, 593, 519, 9042, 540, 4568, 563, 268, 19578, 568, 547, 519, 7532, 540, 27228, 269, 5637, 2829, 723, 513, 2603, 540, 3484, 1633, 543, 4043, 547, 1332, 513, 2603, 540, 13386, 28369, 543, 8970, 269, 1280, 519, 1034, 851, 267, 789, 723, 513, 2147, 2916, 607, 1134, 269, 4256, 22097, 616, 849, 7567, 269, 589, 1164, 6871, 540, 741, 1004, 723, 4436, 22693, 269, 2290, 3017, 568, 602, 519, 14891, 9549, 11148, 547, 798, 1732, 538, 19578, 269, 769, 1840, 267, 19578, 849, 1447, 9993, 593, 1312, 13989, 543, 16377, 563, 268, 3162, 21241, 568, 1776, 15061, 1533, 538, 519, 4279, 26111, 267, 1175, 547, 519, 5087, 540, 27228, 269, 4256, 11585, 568, 3833, 2147, 269, 5637, 2829, 616, 5266, 6366, 543, 723, 513, 2603, 540, 3484, 1633, 269, 1717, 267, 2484, 811, 1004, 1378, 15963, 543, 723, 10122, 27121, 538, 3162, 21241, 269, 6271, 3017, 568, 602, 1034, 540, 3162, 21241, 779, 5201, 568, 3812, 676, 19558, 1077, 267, 6466, 5755, 568, 519, 2392, 558, 3729, 2707, 538, 27228, 563, 268, 3345, 21241, 568, 1256, 2417, 547, 519, 5087, 540, 27228, 269, 4256, 22097, 616, 5393, 2147, 267, 4352, 621, 814, 7864, 4234, 16394, 543, 2484, 811, 1004, 609, 21785, 22693, 269, 5637, 2829, 616, 5097, 13324, 676, 5755, 267, 855, 849, 3132, 513, 1713, 2179, 540, 2842, 1379, 269, 1717, 267, 513, 1454, 3152, 6712, 540, 922, 4346, 568, 13615, 547, 3282, 10868, 269, 901, 814, 3366, 547, 519, 1533, 2348, 513, 3152, 6871, 540, 2367, 982, 27228, 563, 268, 16713, 568, 2943, 1776, 1533, 4092, 2059, 519, 16713, 5211, 593, 713, 1592, 269, 898, 568, 4092, 547, 519, 22703, 540, 27228, 269, 5637, 2829, 3622, 723, 1970, 9204, 269, 1358, 849, 723, 1906, 9993, 593, 519, 9042, 540, 4568, 269, 2755, 1312, 2829, 616, 2392, 7631, 2299, 6519, 267, 16713, 814, 513, 2539, 6871, 540, 5824, 657, 543, 513, 2362, 6871, 540, 2349, 2931, 269, 16713, 849, 814, 811, 4104, 539, 2244, 982, 824, 2829, 593, 713, 1592, 269, 12846, 267, 519, 2392, 558, 3729, 7031, 538, 1312, 2829, 616, 8970, 543, 13386, 28369, 563, 12749, 476, 276, 2276, 2274, 770, 5381, 547, 27228, 454, 268, 16127, 568, 519, 6587, 540, 27228, 538, 513, 1297, 540, 1114, 13664, 2081, 269, 898, 568, 606, 6532, 538, 519, 7414, 7909, 602, 4991, 513, 2603, 540, 11811, 269, 898, 568, 849, 3833, 29990, 543, 513, 2484, 2362, 6871, 540, 922, 2244, 568, 4104, 539, 269, 769, 1840, 267, 16127, 568, 2484, 1447, 15061, 982, 27228, 269, 15020, 1906, 25743, 1205, 11221, 972, 269, 769, 1840, 267, 922, 2551, 540, 1004, 609, 7111, 22963, 543, 5101, 7489, 22693, 568, 1454, 2362, 563, 268, 12590, 568, 2484, 811, 3309, 982, 27228, 269, 898, 814, 513, 2362, 6871, 540, 1306, 2103, 543, 3979, 4892, 269, 769, 1840, 267, 621, 814, 1082, 11082, 269, 4706, 1004, 616, 849, 1447, 3909, 543, 811, 13473, 269, 3502, 1152, 798, 1034, 1004, 2661, 2673, 547, 519, 5836, 267, 855, 621, 568, 849, 1454, 811, 29822, 20651, 982, 27228, 269, 589, 1970, 6871, 540, 519, 1533, 779, 2244, 568, 1031, 585, 6683, 563, 268, 1715, 3840, 568, 1776, 1533, 602, 814, 513, 2484, 811, 3309, 2551, 982, 27228, 269, 589, 1804, 6871, 540, 922, 1004, 946, 5781, 946, 2527, 6283, 267, 865, 2484, 7864, 1004, 723, 6517, 269, 634, 3084, 8129, 540, 922, 1004, 616, 1454, 1114, 982, 27228, 607, 1134, 267, 2094, 1715, 3840, 779, 6519, 2551, 568, 6140, 7969, 543, 9721, 538, 5169, 269, 6145, 824, 2829, 593, 713, 1592, 267, 24273, 616, 8185, 23163, 538, 713, 1533, 563, 268, 4993, 568, 2943, 1776, 9381, 1533, 593, 713, 1592, 269, 898, 814, 513, 2484, 2362, 6871, 540, 5824, 657, 543, 7489, 4892, 982, 27228, 269, 6145, 16127, 267, 922, 2916, 568, 1454, 15911, 543, 922, 14099, 568, 811, 29990, 269, 589, 1804, 851, 540, 519, 1533, 568, 9390, 2244, 269, 5015, 267, 621, 568, 835, 540, 519, 1034, 12666, 2829, 538, 519, 2197, 563, 268, 29049, 6816, 568, 835, 540, 519, 1034, 29822, 20651, 2829, 538, 4334, 547, 27228, 269, 589, 1970, 6871, 540, 922, 2244, 568, 1031, 585, 8105, 269, 589, 1804, 6871, 540, 922, 1004, 2661, 2673, 547, 519, 5836, 269, 5015, 267, 621, 814, 513, 2484, 2362, 6871, 540, 23597, 982, 27228, 269, 769, 1840, 267, 2484, 7864, 25743, 616, 11221, 538, 29049, 6816, 563, 2710, 596, 3858, 609, 519, 1592, 888, 8923, 4734, 1022, 4555, 538, 519, 8292, 3296, 269, 0, 1692, 798, 596, 3434, 10981, 3122, 538, 14495, 1216, 888, 289, 2590, 519, 1216, 547, 513, 12902, 14974, 267, 543, 2322, 538, 10981, 9094, 267, 835, 693, 513, 942, 269, 20780, 1216, 547, 513, 12902, 14974, 936, 1164, 3002, 269, 9255, 10981, 9094, 538, 519, 1494, 630, 3650, 1101, 1070, 3382, 17401, 267, 2132, 547, 513, 14974, 607, 3533, 607, 2009, 543, 1376, 10203, 519, 942, 269, 29673, 513, 10981, 3122, 585, 476, 278, 3764, 829, 11013, 267, 585, 519, 1101, 11013, 563, 3674, 621, 1732, 547, 9252, 610, 14974, 10981, 3122, 888, 22517, 4979, 568, 513, 2370, 18334, 543, 4443, 547, 942, 10502, 267, 543, 519, 5779, 2501, 856, 540, 519, 7387, 811, 11593, 982, 950, 2848, 3139, 269, 1280, 10346, 602, 1289, 585, 4628, 11273, 543, 13603, 10981, 3122, 5779, 267, 14495, 568, 519, 1655, 1935, 269, 11588, 540, 6008, 5446, 281, 769, 4334, 267, 2848, 5446, 568, 811, 9543, 267, 27548, 5594, 811, 13035, 5779, 563, 3963, 798, 10981, 9094, 3458, 600, 950, 596, 14974, 873, 888, 763, 1164, 8486, 3481, 3280, 1500, 676, 606, 23986, 908, 10981, 3122, 568, 3361, 676, 9750, 2011, 678, 5241, 856, 540, 1507, 9475, 538, 10981, 9094, 685, 4703, 267, 899, 513, 27646, 1373, 27762, 269, 589, 4666, 10981, 3122, 786, 968, 338, 920, 600, 892, 1175, 607, 10978, 569, 607, 952, 621, 729, 2713, 563, 1432, 568, 519, 1655, 1259, 547, 3434, 10981, 3122, 888, 289, 2590, 1216, 547, 513, 12902, 14974, 936, 1164, 3002, 269, 9255, 10981, 9094, 538, 519, 1494, 630, 3650, 1101, 1070, 3382, 17401, 267, 2132, 547, 513, 14974, 607, 3533, 607, 2009, 543, 1376, 10203, 519, 942, 269, 29673, 513, 10981, 3122, 585, 476, 278, 3764, 829, 11013, 267, 585, 519, 1101, 11013, 269, 5410, 476, 274, 3764, 829, 11013, 585, 1142, 3606, 11013, 27502, 563, 1692, 1279, 798, 594, 3434, 10981, 3122, 538, 14089, 888, 7093, 17742, 14089, 547, 476, 14596, 13790, 630, 15996, 9180, 1040, 769, 513, 1507, 12826, 267, 9192, 519, 7423, 267, 6070, 267, 14723, 267, 13342, 8869, 267, 13099, 27996, 267, 11993, 10433, 267, 543, 16163, 2917, 267, 1287, 11453, 519, 7848, 14961, 936, 519, 10981, 3122, 5779, 269, 9255, 519, 21217, 5196, 513, 11256, 6656, 267, 1287, 27106, 585, 5111, 476, 1321, 268, 1428, 3764, 267, 2394, 519, 10981, 3122, 568, 4628, 11273, 855, 711, 12285, 344, 563, 3674, 621, 16970, 547, 14974, 513, 2661, 10981, 3122, 888, 12179, 821, 945, 814, 2479, 23017, 513, 10981, 3122, 9800, 666, 1140, 652, 602, 267, 950, 12628, 883, 9470, 3429, 1216, 267, 10981, 9094, 627, 760, 741, 4703, 3552, 569, 543, 1085, 7275, 519, 5011, 540, 519, 1494, 538, 513, 26525, 3801, 547, 9101, 269, 769, 519, 4760, 3163, 267, 11001, 23583, 25511, 614, 4330, 713, 1505, 540, 11318, 10981, 9094, 607, 968, 684, 928, 10354, 25711, 3034, 2710, 10981, 9094, 1745, 1928, 950, 596, 14974, 873, 888, 4517, 1247, 10981, 9094, 2746, 547, 6727, 17003, 267, 899, 1000, 26677, 741, 21217, 950, 5116, 538, 14495, 1216, 267, 519, 20576, 5267, 602, 789, 798, 711, 723, 1950, 12058, 602, 1450, 873, 547, 1184, 1928, 899, 3425, 543, 824, 2831, 798, 563, 4692, 596, 14974, 513, 2661, 10981, 3122, 888, 289, 2590, 519, 1216, 547, 513, 12902, 14974, 269, 6182, 5684, 519, 2661, 10981, 3122, 689, 519, 1394, 6749, 621, 2212, 14140, 883, 519, 14495, 1216, 269, 15147, 519, 1494, 543, 2899, 519, 1216, 814, 3323, 547, 14974, 1586, 267, 1376, 12557, 269, 4425, 559, 519, 10981, 3122, 585, 476, 1015, 3764, 585, 519, 1101, 476, 272, 2000, 321, 540, 2597, 543, 1287, 476, 274, 811, 3764, 585, 1142, 3063, 11013, 269, 0, 21848, 540, 16709, 25201, 6227, 2947, 5553, 540, 15322, 2066, 519, 8608, 267, 3621, 8906, 267, 519, 7269, 540, 3864, 19525, 267, 4655, 936, 11182, 543, 4123, 11507, 267, 543, 5756, 17489, 3406, 543, 15063, 8942, 538, 713, 3818, 268, 1105, 633, 6131, 547, 519, 1686, 540, 3408, 563, 291, 18752, 568, 519, 2817, 19964, 540, 519, 2136, 8003, 781, 6538, 540, 936, 476, 1556, 2929, 3140, 2229, 543, 1857, 5638, 269, 901, 8818, 2488, 1569, 547, 930, 519, 7857, 2213, 3688, 540, 741, 4015, 1519, 3561, 267, 11147, 267, 8638, 267, 19297, 543, 7851, 563, 300, 12568, 547, 1715, 2622, 338, 4015, 2488, 513, 2647, 8573, 4474, 543, 538, 3178, 1413, 693, 519, 900, 12568, 540, 9082, 689, 4279, 6628, 267, 22163, 2342, 543, 5607, 1282, 519, 13524, 543, 2038, 14206, 5553, 998, 2123, 6589, 267, 11288, 20743, 267, 20903, 5638, 267, 543, 9102, 3332, 543, 4574, 563, 305, 657, 24297, 12942, 568, 513, 1893, 1565, 3760, 543, 813, 609, 476, 1789, 4654, 547, 2743, 513, 2039, 540, 2686, 4690, 998, 4295, 4245, 547, 1628, 2542, 267, 1603, 267, 6340, 543, 6947, 1983, 269, 10312, 539, 2238, 13217, 8239, 267, 6863, 267, 12332, 543, 811, 563, 7473, 1779, 568, 1893, 1565, 813, 5356, 6030, 585, 519, 19444, 547, 519, 2539, 13591, 1893, 15226, 585, 936, 476, 9610, 4654, 269, 898, 2636, 596, 547, 1451, 1007, 4654, 538, 513, 1187, 543, 7317, 2081, 267, 1519, 2110, 476, 1015, 3764, 4245, 267, 543, 7317, 3756, 799, 1449, 543, 1628, 593, 707, 6863, 269, 0, 763, 10279, 540, 513, 7332, 568, 547, 10847, 519, 7083, 543, 547, 2285, 948, 543, 1489, 585, 3571, 11511, 725, 912, 288, 11407, 540, 3776, 9457, 1744, 599, 16223, 19869, 592, 23715, 574, 1325, 11860, 2320, 27599, 1488, 7304, 629, 3316, 328, 630, 304, 2529, 1070, 519, 1744, 599, 16223, 540, 16368, 10878, 336, 3333, 7171, 328, 12794, 336, 336, 8643, 2672, 25206, 10158, 630, 301, 26698, 3333, 7171, 328, 12794, 336, 336, 8643, 14642, 2006, 2993, 570, 926, 336, 1695, 994, 26576, 568, 1079, 3741, 267, 9361, 593, 1079, 3741, 267, 835, 568, 547, 1451, 875, 547, 10847, 707, 7083, 269, 5822, 267, 1451, 547, 948, 543, 547, 3914, 1010, 13144, 269, 1403, 519, 1268, 1281, 891, 1079, 1919, 267, 1287, 646, 786, 3914, 547, 519, 5207, 10473, 269, 9453, 19459, 267, 6031, 968, 10472, 568, 4035, 267, 713, 568, 4168, 267, 713, 568, 3109, 267, 713, 568, 3043, 267, 713, 568, 3039, 267, 713, 568, 5835, 1848, 769, 8385, 267, 649, 616, 782, 2813, 689, 519, 1482, 3364, 267, 649, 723 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 278, 543, 476, 279, 269, 630, 8340, 707, 9544, 7997, 1934, 4700, 1403, 596, 1590, 1847, 513, 9921, 2030, 267, 2887, 568, 519, 942, 547, 798, 621, 268, 4481, 267, 950, 519, 2030, 814, 8854, 26862, 269, 3212, 23888, 1058, 581, 12306, 883, 1747, 827, 3670, 4374, 1354, 519, 2666, 17382, 27234, 12500, 340, 3960, 7392, 281, 27003, 269, 0, 4692, 6598, 5678, 9012, 1656, 563, 20486, 3436, 23008, 2524, 563, 23458, 8211, 3098, 543, 8225, 9012, 7710, 875, 3943, 543, 2296, 8225, 2923, 1865, 4654, 543, 1893, 2152, 267, 799, 1893, 19237, 2392, 558, 3729, 538, 2296, 543, 3943, 267, 543, 2436, 1893, 19237, 538, 2757, 3377, 2923, 616, 11843, 547, 1007, 543, 1514, 2923, 563, 8794, 24402, 23316, 543, 11407, 2079, 543, 513, 3099, 540, 1114, 14449, 8151, 689, 1820, 14786, 547, 2228, 3377, 267, 16555, 543, 12108, 267, 519, 2278, 13187, 602, 1893, 19237, 538, 8225, 2923, 723, 513, 12946, 711, 1152, 593, 519, 6708, 547, 799, 8225, 1893, 4507, 616, 7550, 267, 855, 849, 593, 519, 1360, 1259, 602, 23671, 1174, 2933, 543, 741, 1747, 538, 519, 4182, 454, 20486, 3436, 23008, 2524, 454, 23458, 1656, 8225, 9012, 454, 11854, 322, 5874, 540, 5678, 1656, 8225, 9012, 454, 18871, 14394, 1475, 12530, 350, 12530, 485, 11210, 352, 11210, 351, 3436, 17276, 505, 372, 30830, 491, 347, 0, 290, 770, 548, 630, 333, 792, 7395, 1372, 7921, 994, 347, 1723, 520, 540, 7916, 1475, 30051, 4786, 2008, 347, 15575, 344, 2433, 1475, 297, 518, 747, 1077, 8092, 2008, 347, 3891, 697, 2433, 1475, 5379, 544, 1657, 4262, 1377, 19760, 301, 2008, 347, 22704, 2433, 1475, 13932, 269, 4962, 5998, 476, 273, 2008, 347, 4910, 6342, 10573, 2420, 267, 32076, 630, 20103, 476, 4029, 267, 476, 1001, 280, 10245, 347, 16954, 1637, 5860, 2433, 1475, 15389, 11317, 829, 5998, 476, 273, 2008, 347, 8070, 531, 3009, 2433, 1475, 4375, 273, 6434, 2008, 347, 22704, 3009, 2433, 1475, 271, 4375, 2641, 2008, 30054, 545, 1619, 6676, 2433, 1475, 297, 299, 267, 19836, 294, 267, 717, 18199, 2008, 347, 26322, 1883, 2433, 1475, 1428, 476, 271, 476, 10436, 476, 27888, 2008, 347, 26183, 4596, 14701, 2433, 1475, 14701, 645, 7838, 454, 18871, 640, 2497, 10573, 280, 13102, 543, 476, 275, 10821, 5624, 2008, 30949, 7245, 2232, 10778, 347, 1103, 519, 2025, 3046, 13715, 476, 273, 454, 347, 9802, 528, 2433, 1475, 297, 23152, 326, 1234, 327, 29231, 630, 9501, 291, 3738, 2008, 347, 19613, 540, 519, 8664, 4884, 540, 26990, 454, 514, 519, 8664, 540, 7603, 747, 1077, 8092, 454, 289, 4026, 568, 4092, 827, 476, 1839, 12919, 22583, 540, 519, 29017, 3415, 268, 2304, 327, 5306, 1533, 3854, 7395, 1372, 7921, 1547, 12670, 568, 827, 476, 1911, 12919, 547, 519, 22583, 269, 12830, 4703, 540, 1216, 538, 26990, 616, 519, 594, 327, 548, 5211, 543, 519, 4432, 2041, 6953, 320, 767, 22575, 1547, 634, 4432, 2041, 3029, 519, 5087, 2914, 3480, 2749, 7182, 269, 634, 1858, 1472, 519, 2749, 729, 8032, 676, 519, 10979, 12698, 267, 547, 799, 519, 5251, 5250, 540, 519, 4469, 7564, 2719, 4422, 1394, 267, 593, 4171, 9087, 1054, 1571, 6013, 519, 14500, 563, 347, 18850, 12230, 1475, 24823, 730, 2199, 885, 1475, 29670, 5624, 2008, 1892, 11206, 4708, 454, 1892, 11206, 1153, 454, 763, 5169, 540, 519, 2012, 26990, 568, 15458, 269, 634, 4587, 10259, 568, 645, 3073, 543, 849, 519, 1699, 13172, 531, 12332, 568, 811, 540, 606, 744, 607, 513, 772, 1547, 634, 21083, 2344, 4009, 630, 339, 3736, 2549, 4460, 339, 3738, 568, 14648, 607, 2963, 540, 23577, 545, 15713, 269, 4935, 267, 16907, 630, 306, 15442, 545, 12566, 4104, 3738, 3091, 3294, 607, 513, 1747, 2012, 267, 2147, 547, 21890, 514, 7921, 2282, 645, 637, 331, 879, 267, 1934, 1932, 972, 729, 16907, 1188, 609, 744, 607, 513, 27139, 1106, 269, 1717, 267, 519, 7404, 8493, 25279, 2102, 849, 814, 513, 21083, 2344, 267, 855, 568, 2808, 513, 27272, 5748, 269, 634, 21083, 2344, 1223, 849, 581, 1813, 547, 519, 1249, 602, 519, 1699, 546, 833, 4155, 5012, 883, 513, 32761, 344, 1858, 269, 1546, 747, 268, 2507, 1797, 796, 29434, 748, 11432, 543, 1256, 2221, 519, 15429, 1740, 6288, 1739, 1546, 747, 14259, 29967, 324, 568, 2407, 540, 22253, 543, 5781, 27876, 676, 519, 594, 327, 548, 1547, 589, 2951, 518, 689, 12670, 547, 7395, 1372, 7921, 610, 2098, 8538, 560, 1131, 723, 3144, 513, 8905, 593, 519, 12363, 2849, 12578, 540, 12670, 518, 18135, 29967, 324, 602, 15320, 3648, 689, 519, 2786, 1899, 267, 855, 568, 3819, 269, 1717, 267, 606, 4890, 14500, 729, 711, 1336, 563, 763, 4884, 540, 26990, 729, 1101, 5018, 538, 513, 3561, 593, 5239, 476, 272, 267, 476, 280, 4366, 269, 634, 11175, 729, 23163, 1317, 519, 15627, 540, 519, 32720, 4469, 7564, 2719, 1657, 519, 1216, 24481, 594, 327, 548, 543, 4432, 2041, 1970, 4133, 609, 922, 13148, 15417, 543, 3552, 14099, 6035, 15028, 2175, 585, 6228, 269, 634, 840, 20931, 540, 26990, 3459, 27621, 2406, 609, 519, 32665, 630, 21930, 518, 12942, 6520, 1070, 1472, 519, 4098, 540, 519, 476, 274, 6113, 26992, 7460, 269, 16329, 1670, 9060, 689, 519, 27705, 6520, 543, 1287, 519, 11635, 6520, 3561, 519, 2417, 2038, 1686, 540, 26990, 269, 3194, 2164, 689, 476, 1001, 271, 12398, 519, 11175, 631, 619, 990, 1756, 2073, 799, 623, 1729, 548, 3240, 1185, 7396, 538, 1010, 25304, 2983, 1748, 807, 1472, 519, 1032, 476, 5611, 5084, 2073, 538, 519, 26990, 1858, 563, 5475, 519, 27272, 2551, 32164, 3603, 1282, 519, 9194, 1974, 267, 23577, 338, 12306, 2282, 519, 594, 327, 548, 15385, 269, 634, 12228, 20897, 15438, 3459, 741, 3609, 540, 21037, 538, 519, 476, 1015, 628, 2540, 269, 769, 476, 280, 2764, 267, 26081, 5341, 594, 22482, 15952, 29118, 1547, 3571, 5067, 32572, 8547, 519, 4144, 665, 3150, 540, 15952, 29118, 538, 476, 280, 4366, 1547, 634, 4884, 540, 26990, 568, 5018, 585, 519, 1101, 942, 538, 519, 632, 539, 540, 5748, 269, 769, 1931, 547, 5150, 741, 3310, 267, 1325, 3691, 19816, 519, 19594, 543, 5246, 29989, 654, 747, 10458, 538, 1880, 6410, 674, 12661, 880, 13896, 547, 519, 8738, 3455, 8092, 269, 1358, 8547, 519, 2539, 4884, 538, 26990, 267, 3710, 519, 12832, 7637, 1731, 1844, 515, 543, 5189, 12308, 6194, 269, 634, 674, 12661, 880, 11082, 4547, 4359, 3029, 540, 4346, 543, 1271, 4123, 1894, 609, 873, 689, 741, 22657, 269, 1635, 2679, 10085, 7719, 593, 519, 4432, 2041, 543, 1951, 1456, 519, 3573, 1970, 4133, 267, 789, 2799, 519, 2179, 540, 6694, 2244, 1472, 519, 2749, 269, 4256, 12418, 9960, 267, 14420, 28823, 543, 519, 2504, 540, 15144, 523, 12308, 2968, 513, 4493, 585, 519, 30436, 1646, 540, 519, 4884, 540, 26990, 269, 901, 568, 3254, 676, 519, 1249, 602, 972, 729, 2907, 513, 12308, 14710, 538, 7395, 1372, 7921, 538, 476, 14338, 275, 543, 713, 729, 32444, 569, 9672, 676, 519, 1287, 5246, 29989, 15751, 563, 4002, 1312, 5011, 540, 519, 8492, 540, 519, 594, 327, 548, 267, 606, 5580, 543, 2539, 4884, 2919, 896, 5094, 7245, 269, 769, 519, 2038, 476, 1724, 628, 2540, 267, 1312, 17260, 941, 25167, 1927, 630, 2908, 17872, 6821, 609, 20610, 1040, 2311, 602, 942, 267, 26990, 729, 2907, 835, 540, 519, 17215, 1034, 1271, 543, 1034, 17872, 4872, 538, 519, 3148, 543, 538, 519, 476, 1428, 628, 2540, 621, 729, 519, 3791, 4102, 2749, 538, 519, 7626, 27694, 540, 7395, 1372, 7921, 1310, 7395, 1372, 7921, 543, 670, 4150, 4586, 763, 774, 8812, 13012, 2782, 4547, 1454, 7092, 547, 519, 1004, 2713, 538, 26990, 269, 26597, 536, 4068, 1206, 543, 15102, 267, 799, 14578, 3366, 547, 11642, 267, 606, 25044, 10514, 731, 618, 543, 513, 2489, 10788, 720, 538, 476, 13932, 275, 4547, 519, 2749, 547, 519, 1490, 1074, 540, 798, 558, 267, 689, 799, 621, 729, 711, 6870, 676, 519, 4484, 540, 4027, 689, 4937, 623, 1952, 523, 8583, 269, 634, 2489, 22415, 1117, 998, 26990, 693, 519, 1439, 540, 5130, 476, 14321, 272, 547, 948, 20630, 7395, 1372, 7921, 269, 769, 519, 13458, 540, 26285, 826, 538, 476, 14321, 276, 267, 918, 2720, 778, 11420, 16836, 729, 13752, 267, 855, 538, 476, 12739, 278, 621, 729, 4421, 547, 15952, 29118, 6261, 337, 17892, 676, 16099, 20435, 29747, 594, 540, 29017, 3415, 268, 2171, 328, 29967, 523, 325, 1564, 1547, 634, 2749, 543, 519, 26990, 5604, 4682, 547, 519, 4478, 667, 1276, 344, 540, 7395, 1372, 7921, 1547, 26990, 729, 4092, 538, 519, 7603, 747, 1077, 8664, 543, 729, 8754, 1721, 628, 2047, 29884, 547, 519, 2229, 540, 519, 546, 1276, 344, 607, 513, 865, 10777, 7525, 2749, 1547, 634, 11776, 540, 6022, 520, 710, 267, 9931, 9398, 543, 18018, 340, 523, 1824, 2073, 602, 568, 267, 540, 1234, 11526, 3909, 15076, 945, 1336, 9675, 1934, 267, 6462, 713, 16057, 1646, 267, 799, 729, 15469, 676, 15952, 29118, 6261, 337, 17892, 1547, 634, 18018, 340, 523, 1824, 267, 585, 1383, 267, 4547, 1007, 267, 5499, 3029, 540, 27656, 2761, 547, 713, 3148, 563, 1103, 476, 8687, 278, 519, 8664, 540, 7603, 747, 578, 594, 729, 4646, 267, 4171, 10160, 2968, 519, 14500, 269, 769, 476, 4572, 275, 267, 26990, 4646, 606, 4683, 8664, 267, 855, 17477, 519, 11889, 10160, 585, 519, 8664, 267, 799, 729, 26948, 10588, 26990, 1310, 519, 5822, 2622, 2782, 543, 556, 15759, 3603, 883, 519, 14500, 538, 476, 4198, 271, 269, 769, 476, 1960, 275, 519, 2749, 3357, 547, 519, 8664, 540, 7603, 747, 1077, 8092, 563, 4415, 519, 7269, 540, 519, 3560, 1062, 910, 538, 476, 9264, 271, 513, 2197, 4155, 729, 3710, 689, 26990, 547, 7395, 1372, 7921, 910, 543, 519, 4098, 540, 22713, 2073, 519, 2749, 4797, 547, 4434, 17215, 269, 634, 1101, 9252, 9817, 941, 538, 5106, 538, 26990, 538, 476, 8146, 277, 269, 2201, 4864, 476, 278, 267, 476, 7277, 277, 267, 519, 22305, 4851, 540, 519, 8738, 3455, 15840, 333, 327, 1993, 593, 519, 1007, 12670, 1107, 7395, 1372, 7921, 16749, 1899, 729, 9976, 269, 7053, 267, 519, 4070, 540, 519, 594, 327, 548, 22575, 538, 476, 6942, 272, 2813, 2417, 2175, 585, 3573, 4853, 1646, 269, 769, 476, 6642, 274, 519, 21489, 12051, 968, 307, 871, 579, 269, 595, 773, 834, 269, 634, 2754, 1230, 2784, 570, 871, 579, 269, 19402, 519, 1439, 540, 519, 5822, 2622, 2782, 267, 595, 773, 729, 519, 4102, 21489, 10672, 538, 2342, 609, 909, 547, 476, 275, 267, 1822, 8424, 540, 10887, 3812, 1169, 1554, 269, 634, 8738, 3455, 5576, 331, 778, 628, 1993, 729, 3710, 689, 476, 6245, 279, 547, 476, 6245, 280, 269, 769, 476, 4489, 278, 267, 585, 1383, 267, 476, 272, 267, 4335, 12418, 267, 476, 272, 267, 1220, 1608, 1407, 267, 476, 1015, 267, 1822, 14918, 267, 476, 10384, 13265, 543, 476, 5611, 9640, 941, 1793, 4381, 1229, 972, 563, 7628, 519, 5822, 2622, 2782, 267, 519, 14500, 729, 5266, 2370, 10032, 269, 589, 1895, 540, 1209, 1235, 267, 1514, 24339, 1846, 543, 536, 28123, 12251, 24339, 1846, 849, 7307, 547, 21704, 519, 2749, 547, 519, 8168, 7952, 1510, 513, 4339, 543, 3976, 15286, 519, 2749, 781, 9552, 538, 519, 2063, 2395, 540, 519, 2112, 269, 901, 1895, 3769, 519, 1209, 1235, 543, 5449, 2818, 540, 519, 2749, 14618, 585, 519, 918, 11520, 4864, 1261, 2358, 518, 267, 513, 4234, 515, 11346, 543, 4024, 328, 6008, 9528, 267, 513, 2759, 614, 676, 4123, 269, 769, 1840, 547, 4487, 32529, 9677, 5576, 785, 2401, 267, 849, 513, 4759, 540, 519, 918, 11520, 267, 519, 1895, 849, 3769, 519, 1514, 24339, 520, 543, 4487, 15790, 10938, 4024, 328, 853, 3326, 6199, 267, 945, 729, 849, 513, 4759, 540, 519, 2749, 14618, 585, 1010, 5428, 1354, 519, 13303, 5736, 267, 543, 519, 1514, 24339, 520, 543, 1164, 1153, 14643, 528, 3220, 269, 13535, 6975, 570, 2675, 1667, 580, 269, 769, 1840, 267, 519, 1134, 8153, 4154, 27724, 10672, 9677, 22784, 333, 345, 267, 654, 269, 31311, 2763, 267, 519, 3276, 3455, 17404, 23323, 528, 14929, 2536, 267, 519, 19149, 908, 31294, 10672, 590, 20672, 325, 3072, 853, 7238, 1188, 601, 267, 945, 1185, 849, 5892, 1044, 513, 4759, 540, 519, 2749, 14618, 585, 513, 536, 28123, 12251, 1592, 267, 543, 519, 12308, 21471, 772, 961, 5341, 1546, 28852, 267, 538, 4171, 11623, 519, 23801, 5870, 593, 2904, 476, 273, 267, 476, 3707, 276, 267, 1614, 2395, 1354, 519, 1688, 1478, 267, 3576, 1747 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 607, 789, 1291, 3318, 1565, 827, 519, 2817, 11621, 585, 1296, 476, 272, 1700, 279, 1369, 519, 1715, 10215, 15099, 269, 634, 13838, 616, 5078, 585, 946, 1282, 519, 9979, 540, 3318, 14374, 602, 3401, 543, 3610, 4497, 538, 547, 2087, 4093, 585, 741, 1053, 563, 7072, 547, 519, 9074, 454, 262, 295, 27941, 6788, 3112, 581, 6026, 610, 13684, 10446, 540, 2796, 269, 13298, 267, 789, 1020, 607, 1007, 3450, 4485, 616, 27058, 543, 2875, 1565, 568, 2938, 547, 2087, 25692, 20755, 704, 2917, 267, 14355, 267, 645, 1551, 541, 267, 543, 674, 2426, 267, 476, 1220, 278, 267, 12834, 540, 28454, 267, 2985, 476, 1789, 454, 1607, 9074, 14405, 593, 519, 1523, 540, 513, 14150, 607, 519, 4493, 585, 9591, 3838, 6788, 269, 4635, 519, 1523, 540, 513, 14150, 267, 7855, 666, 1451, 689, 1053, 1247, 14139, 3450, 2259, 602, 568, 20982, 267, 14436, 267, 543, 1759, 593, 519, 5767, 1382, 563, 763, 2497, 540, 713, 9074, 454, 1607, 9074, 814, 1614, 1292, 6810, 563, 7659, 6364, 540, 519, 9074, 267, 799, 912, 268, 2829, 1018, 519, 9074, 6663, 547, 948, 1153, 3401, 543, 3610, 3035, 454, 268, 8638, 10832, 602, 4766, 1018, 547, 1413, 585, 607, 2963, 602, 789, 723, 6913, 519, 6364, 454, 268, 2488, 513, 24117, 585, 519, 1883, 6364, 563, 8269, 29193, 2055, 585, 1153, 3401, 543, 3610, 267, 799, 912, 268, 2337, 3313, 519, 3318, 1565, 2115, 540, 519, 2898, 5234, 267, 25102, 545, 919, 267, 610, 1367, 3610, 610, 3401, 454, 268, 666, 581, 1031, 1369, 2238, 585, 3401, 543, 3610, 630, 5408, 1985, 3296, 1916, 22117, 532, 10593, 538, 2259, 998, 5059, 2238, 267, 799, 912, 268, 14592, 930, 3318, 1646, 2238, 602, 9305, 547, 519, 14436, 2055, 454, 268, 666, 581, 1031, 4827, 4601, 547, 948, 2743, 4857, 2115, 454, 268, 14405, 593, 4540, 2200, 543, 3318, 1646, 3255, 563, 288, 3803, 3296, 267, 8249, 543, 8100, 267, 8638, 5931, 11855, 610, 20926, 538, 713, 9074, 2059, 609, 2200, 602, 1331, 3730, 1344, 827, 9591, 3838, 6788, 547, 1489, 1053, 685, 1565, 563, 1692, 547, 946, 713, 9074, 454, 18662, 3401, 666, 946, 713, 9074, 547, 2697, 543, 2263, 10593, 538, 2259, 602, 1522, 581, 2877, 607, 741, 1153, 1568, 609, 519, 2817, 11621, 563, 27645, 666, 946, 519, 14436, 2055, 543, 5924, 2238, 547, 948, 3391, 873, 998, 1022, 2242, 789, 1522, 991, 547, 1118, 607, 789, 960, 609, 519, 2817, 11621, 563, 27987, 547, 1283, 454, 7659, 6364, 540, 519, 9074, 454, 763, 1883, 6364, 585, 713, 9074, 568, 602, 1153, 3401, 267, 3610, 267, 1053, 267, 3237, 267, 3885, 267, 627, 31488, 879, 267, 2950, 267, 543, 12545, 540, 3972, 4315, 1174, 519, 6788, 538, 2542, 267, 1603, 267, 543, 6128, 693, 1142, 1032, 1377, 607, 13890, 538, 519, 2817, 11621, 563, 5715, 545, 2209, 602, 713, 6364, 568, 1373, 6913, 454, 18662, 12319, 1472, 6788, 568, 5483, 676, 912, 763, 1153, 779, 7580, 543, 5993, 4566, 2992, 519, 6788, 540, 519, 2817, 11621, 689, 476, 1001, 272, 563, 10376, 25102, 6510, 267, 2319, 267, 610, 4116, 2882, 2312, 3853, 585, 2875, 9740, 538, 741, 4058, 543, 8989, 6054, 563, 31636, 609, 1053, 267, 3237, 267, 3885, 267, 627, 31488, 879, 267, 2950, 267, 543, 12545, 540, 3972, 4315, 5849, 602, 3853, 616, 5693, 6829, 267, 3838, 267, 10630, 593, 267, 543, 12649, 563, 305, 1049, 324, 585, 519, 1883, 6364, 454, 301, 22022, 835, 538, 2947, 1053, 3762, 1153, 1510, 519, 1983, 543, 20340, 789, 991, 547, 8011, 269, 700, 14823, 2875, 9740, 568, 513, 1883, 10862, 563, 763, 1715, 10215, 15099, 568, 6462, 676, 519, 2817, 11621, 267, 799, 1305, 2312, 6788, 602, 1053, 991, 547, 2743, 538, 2542, 267, 1603, 267, 543, 6128, 538, 519, 1101, 5216, 1296, 693, 1153, 563, 763, 4441, 1683, 4704, 2798, 547, 948, 721, 3251, 5059, 593, 938, 3804, 1107, 8746, 267, 4448, 267, 8362, 3238, 267, 15400, 6267, 563, 3849, 2194, 539, 689, 2817, 11621, 6176, 585, 12140, 267, 12080, 540, 4065, 267, 476, 1220, 280, 454, 2691, 3506, 267, 3610, 267, 12545, 540, 3972, 4315, 267, 3885, 267, 543, 627, 31488, 879, 1174, 543, 2671, 25422, 5812, 6788, 585, 519, 3356, 543, 9740, 540, 1053, 267, 789, 616, 1732, 2111, 547, 1020, 267, 4497, 609, 267, 543, 1489, 3450, 543, 1565, 3255, 585, 1053, 269, 1358, 616, 849, 1732, 2111, 547, 21028, 2875, 4763, 538, 6935, 547, 519, 4441, 543, 547, 1118, 5059, 543, 12905, 7459, 2059, 519, 1259, 563, 27987, 547, 1283, 454, 8269, 29193, 2055, 585, 1153, 3401, 543, 3610, 454, 763, 1739, 14436, 2055, 616, 2966, 547, 948, 1153, 3401, 543, 3610, 1174, 741, 1153, 779, 1699, 2259, 538, 6935, 547, 6788, 269, 1358, 666, 1287, 1118, 16198, 609, 519, 6788, 11251, 538, 519, 2817, 11621, 563, 8196, 519, 14436, 2055, 547, 2697, 2127, 585, 2417, 3408, 998, 519, 2238, 602, 1246, 563, 272, 269, 1548, 4867, 28279, 6788, 585, 2542, 267, 1603, 267, 543, 6128, 3356, 543, 9740, 538, 938, 1153, 286, 630, 2690, 1383, 267, 798, 649, 946, 519, 6788, 689, 519, 23168, 2329, 5741, 610, 824, 14541, 12201, 585, 1142, 1032, 1377, 286, 994, 1692, 798, 891, 6788, 5635, 609, 1346, 540, 519, 2817, 11621, 286, 1548, 6791, 568, 2139, 547, 948, 2232, 25314, 520, 2583, 888, 1432, 2963, 798, 649, 2721, 593, 547, 1174, 3604, 538, 2875, 4093, 888, 4692, 938, 2296, 1893, 6267, 2743, 519, 7569, 540, 519, 1715, 10215, 15099, 286, 1403, 711, 267, 1294, 519, 9074, 20051, 519, 2115, 540, 2296, 1893, 6267, 563, 273, 269, 1215, 798, 938, 1699, 6788, 1217, 938, 1153, 779, 912, 268, 3375, 1818, 888, 268, 3527, 1644, 547, 7580, 4058, 888, 268, 3527, 1644, 547, 3804, 4259, 888, 268, 4058, 585, 3450, 543, 1565, 888, 268, 2702, 547, 2743, 519, 2115, 540, 1880, 2516, 540, 1053, 888, 1432, 1522, 991, 547, 1689, 888, 274, 269, 1684, 1053, 543, 741, 3237, 267, 3885, 267, 627, 31488, 879, 267, 543, 2950, 1174, 519, 2542, 267, 1603, 267, 543, 6128, 6788, 585, 1053, 693, 1880, 2798, 538, 942, 543, 936, 942, 1107, 3226, 1141, 972, 568, 513, 991, 547, 4584, 909, 519, 10605, 286, 1403, 711, 267, 1018, 3527, 1223, 649, 1491, 286, 1548, 5007, 1489, 1131, 948, 888, 275, 269, 1548, 3800, 723, 649, 3144, 547, 1689, 2542, 267, 1603, 267, 543, 6128, 6788, 585, 543, 609, 631, 5953, 9461, 1053, 286, 4024, 891, 2087, 4093, 585, 631, 5953, 9461, 543, 2327, 602, 1412, 300, 5953, 9461, 2972, 2069, 1967, 607, 631, 5953, 9461, 262, 630, 298, 320, 670, 1731, 527, 807, 286, 1215, 568, 519, 1153, 14775, 547, 519, 17131, 604, 11986, 4065, 4643, 888, 276, 269, 1215, 798, 649, 2911, 547, 12545, 540, 3972, 4315, 543, 938, 2146, 827, 519, 6788, 286, 1548, 2417, 1344, 1522, 789, 991, 888, 8196, 519, 24300, 6591, 689, 7234, 519, 14436, 2055, 547, 2697, 519, 10593, 538, 2259, 543, 5924, 3318, 1565, 602, 949, 581, 2838, 538, 519, 1153, 269, 8564, 689, 519, 1739, 2238, 547, 1489, 891, 10593, 607, 851, 540, 3318, 14374, 563, 27987, 547, 1283, 454, 22117, 532, 10593, 538, 2259, 998, 5059, 2238, 454, 13706, 519, 6240, 540, 513, 14150, 950, 3695, 6788, 538, 891, 2238, 563, 15675, 2238, 602, 786, 948, 15052, 24300, 540, 6788, 269, 4329, 3408, 949, 581, 2877, 547, 3914, 519, 6364, 585, 713, 9074, 269, 1280, 1383, 267, 5717, 949, 7866, 513, 991, 547, 2263, 4978, 602, 616, 17211, 2861, 543, 602, 1223, 27985, 19319, 930, 2516, 540, 1053, 563, 763, 2238, 666, 581, 1031, 538, 513, 3099, 540, 2081, 585, 2898, 3613, 3530, 267, 25102, 6510, 267, 1895, 267, 610, 1367, 14374, 269, 1280, 1383, 267, 606, 2534, 602, 12211, 547, 6128, 949, 581, 5645, 856, 8335, 689, 519, 1482, 2534, 950, 621, 12211, 547, 2542, 543, 1603, 269, 11334, 2324, 609, 1296, 476, 272, 1700, 274, 949, 849, 4163, 856, 930, 2238, 8335, 689, 1346, 2324, 609, 1296, 476, 275, 1700, 279, 563, 763, 2238, 538, 782, 540, 519, 13838, 267, 1519, 713, 835, 267, 616, 1759, 593, 519, 4295, 2200, 7396, 538, 519, 11137, 269, 28582, 547, 891, 607, 3617, 950, 3695, 2259, 998, 519, 2238, 563, 12244, 476, 272, 281, 3776, 1153, 781, 6788, 540, 1053, 454, 1432, 4867, 28279, 519, 6788, 585, 6128, 267, 2542, 267, 543, 1603, 3356, 543, 9740, 538, 938, 1153, 267, 543, 1018, 1522, 991, 547, 1689, 888, 4415, 3610, 267, 1020, 513, 1153, 17253, 2070, 540, 6788, 585, 3356, 543, 9740, 538, 6128, 267, 2542, 267, 543, 1603, 269, 1677, 798, 713, 267, 2697, 1699, 1153, 6788, 7258, 912, 8196, 610, 3082, 7305, 594, 547, 4729, 519, 1153, 779, 4890, 6788, 1996, 1346, 540, 519, 2817, 11621, 269, 9181, 519, 2164, 538, 6935, 547, 1022, 25314, 520, 2583, 543, 1018, 789, 949, 1611, 585, 519, 1153, 269, 9181, 1022, 6791, 602, 568, 2139, 630, 514, 4156, 543, 5007, 264, 547, 948, 2232, 25314, 520, 2583, 563, 12244, 476, 273, 281, 21673, 725, 267, 4978, 267, 543, 3527, 454, 1692, 798, 938, 1699, 6788, 1217, 938, 1153, 779, 3375, 1818, 267, 3527, 267, 543, 2702, 547, 2743, 938, 1053, 685, 2115, 286, 1548, 1522, 991, 547, 1689, 888, 18439, 875, 519, 1153, 779, 1699, 12319, 2306, 8763, 519, 3527, 519, 1153, 568, 2921, 547, 1489, 1053, 547, 3035, 693, 2362, 2157, 1107, 538, 1880, 267, 1053, 945, 616, 2943, 547, 2743, 6788, 269, 1548, 616, 519, 1808, 2115, 540, 1142, 1895, 540, 1053, 286, 1548, 3606, 3527, 666, 649, 1491, 547, 2327, 602, 649, 2232, 519, 2115, 540, 1142, 1895, 888, 8196, 610, 3082, 7305, 4083, 547, 3391, 4901, 563, 1103, 6935, 547, 519, 4763, 540, 1053, 538, 938, 1153, 267, 1018, 798, 649, 917, 827, 912, 268, 938, 1378, 4978, 543, 1346, 540, 938, 9164, 827, 519, 7399, 585, 1880, 2516, 540, 1053, 888, 268, 6788, 2066, 25102, 545, 919, 888, 268, 519, 6788, 540, 3237, 267, 12545, 540, 3972, 4315, 267, 543, 519, 9962, 2146, 888, 12244, 476, 274, 281, 19457, 6788, 609, 1053, 267, 3237, 267, 3885, 267, 627, 31488, 879, 267, 543, 2950, 454, 2710, 1053, 543, 741, 3237, 267, 3885, 267, 627, 31488, 879, 543, 2950, 1174, 519, 2542, 267, 1603, 267, 543, 6128, 6788, 585, 1053, 693, 1880, 2798, 538, 942, 543, 936, 942, 1107, 3226, 1141, 972, 568, 513, 991, 547, 4584, 909, 519, 10605, 286, 1403, 711, 267, 1018, 3527, 1223, 649, 1491, 286, 1548, 5007, 1489, 1131, 948, 888, 4415, 1053, 267, 3237, 267, 3885, 267, 627, 31488, 879, 267, 543, 2950, 2697, 1699, 2853, 585, 4687, 6788, 585, 3356, 543, 9740, 538, 2542, 267, 1603, 267, 543, 6128, 269, 6333, 912, 268, 2081, 547, 5531, 2963, 593, 519, 7145, 540, 891, 2853, 454, 268, 1018, 1522, 991, 547, 1689, 547, 1118, 519, 6788, 811, 8763, 585, 1053, 267, 3237, 267, 3885, 267, 627, 31488, 879, 267, 543, 2950, 563, 8196, 610, 3082, 7305, 8633, 547, 2594, 1699, 2853, 543, 2093, 585, 1689, 563, 18800, 519, 4681, 540, 623, 10107, 909, 519, 623, 864, 543, 2697, 2127, 547, 2263, 2417, 563, 12244, 476, 275, 281, 21673, 725, 543, 4093, 585, 631, 5953, 9461, 543, 17131, 604, 11986, 1053, 454, 1432, 3800, 723, 649, 3144, 547, 1689, 2542, 267, 1603, 267, 543, 6128, 6788, 585, 543, 609, 631, 5953, 9461, 1053, 286, 4024, 891, 2087, 4093, 585, 631, 5953, 9461, 543, 2327, 602, 1412, 300, 5953, 9461, 2972, 2069, 1967, 607, 631, 5953, 9461, 262, 286, 1215, 568, 519, 1153, 14775, 547, 519, 17131, 604, 11986, 4065, 4643, 888, 272, 269, 6333, 519, 1739, 912, 2414, 12740, 519, 2773, 540, 519, 1062, 2949, 3267, 1797, 2519, 593, 1346, 945, 616, 2547, 1134, 6039, 676, 519, 1062, 269, 6270, 513, 1445, 593, 631, 5953, 9461, 849, 2164, 538, 2178, 2640, 585, 1866, 563, 298, 320, 670, 1731, 527, 807, 630, 7659, 2963, 1070, 2985, 476, 1556, 454, 288, 1883, 6161, 585, 589, 582, 792, 10394, 1715, 10215, 568, 602, 3610, 723, 2539, 6788, 540, 1453, 689, 1970, 1232, 850, 3506, 267, 543, 540, 631, 5953, 9461, 1453, 538, 1880, 269, 3427, 532, 6454, 1382, 814, 1336, 602, 631, 5953, 9461, 1053, 4171, 3610, 723, 1970, 6788, 6913, 1447, 982, 824, 1453, 1310, 513, 1032, 693, 1153, 1256, 950, 741, 4358, 1448, 729, 2147, 563, 298, 320, 670, 1731, 527, 807, 630, 7659, 2963, 1070, 2985, 476, 2537, 454 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 23198, 11848, 4672, 676, 7820, 267, 25182, 4672, 267, 5916, 609, 519, 2360, 540, 8337, 267, 8966, 11626, 10009, 3270, 543, 2799, 13621, 689, 3859, 5982, 12842, 676, 1930, 7297, 538, 476, 1220, 278, 782, 723, 8329, 547, 519, 7613, 267, 1767, 667, 13681, 582, 269, 834, 4322, 2175, 616, 4259, 519, 11848, 909, 585, 3606, 267, 1713, 13621, 1317, 540, 519, 2318, 5955, 8520, 602, 4249, 1394, 593, 3294, 4799, 257, 307, 2586, 1927, 267, 891, 2242, 2303, 602, 519, 11848, 7909, 568, 16042, 513, 1448, 1141, 513, 2132, 547, 840, 268, 1960, 271, 338, 4672, 2175, 3587, 5051, 2352, 543, 1141, 1804, 267, 23589, 2242, 538, 4832, 4672, 3382, 607, 538, 476, 1220, 278, 949, 1831, 519, 2343, 2437, 519, 1382, 2319, 5206, 538, 2983, 26491, 3194, 16707, 563, 22832, 16549, 17427, 1731, 1923, 31823, 2336, 4649, 279, 2929, 4458, 6040, 3170, 8761, 9998, 1634, 3662, 454, 2641, 269, 6021, 269, 1001, 279, 1923, 7665, 268, 23945, 1188, 268, 9743, 26623, 24166, 12713, 613, 32554, 773, 454, 10908, 18432, 4702, 1223, 3970, 4262, 7400, 4473, 267, 952, 649, 1205, 938, 5434, 896, 1852, 454, 736, 269, 6021, 269, 1001, 279, 1923, 3864, 2983, 657, 31190, 5742, 454, 763, 2679, 7161, 540, 2339, 538, 938, 7122, 941, 4646, 538, 519, 1101, 476, 1015, 2890, 572, 6948, 540, 922, 6228, 267, 2687, 547, 519, 4867, 7608, 3621, 4605, 269, 2991, 519, 8262, 10854, 827, 476, 1724, 269, 278, 5479, 1296, 3516, 267, 2339, 15538, 5631, 540, 844, 10225, 543, 1350, 340, 976, 267, 1079, 2010, 540, 10026, 5536, 4171, 4205, 616, 18170, 676, 7061, 6985, 19392, 630, 304, 7374, 1070, 519, 3069, 540, 2178, 5872, 269, 769, 519, 2038, 7122, 267, 891, 5536, 6410, 630, 333, 22022, 264, 11884, 538, 513, 844, 1046, 3766, 1663, 517, 11919, 563, 1607, 568, 513, 4745, 2046, 5305, 540, 2160, 16334, 523, 3122, 543, 1261, 14988, 6199, 607, 1134, 607, 519, 717, 10485, 29581, 3128, 339, 3960, 550, 5300, 24166, 5576, 4546, 542, 523, 325, 832, 577, 2426, 538, 667, 1301, 26684, 339, 563, 10190, 267, 538, 513, 5123, 5912, 267, 789, 5916, 543, 4646, 1185, 6425, 267, 1851, 873, 519, 2679, 7161, 540, 10570, 22140, 267, 22571, 543, 25268, 269, 769, 519, 1699, 3390, 540, 2483, 1320, 514, 1922, 559, 332, 3859, 2281, 1500, 540, 26543, 13339, 616, 20522, 543, 3035, 31931, 540, 513, 1434, 476, 1691, 2600, 269, 1717, 267, 789, 1223, 798, 1256, 1732, 952, 741, 21743, 7252, 10630, 1447, 1769, 269, 589, 2319, 3366, 676, 4515, 269, 4168, 324, 2142, 14982, 689, 519, 29581, 3128, 16379, 19053, 550, 5300, 12670, 630, 295, 313, 289, 264, 814, 1631, 31601, 513, 10427, 1007, 3070, 547, 713, 1966, 563, 24679, 568, 711, 2614, 3274, 547, 3142, 811, 1769, 883, 519, 1591, 2437, 3081, 4168, 324, 2142, 14982, 269, 6270, 2627, 3889, 666, 1256, 6038, 2569, 519, 4398, 676, 2483, 288, 1353, 538, 519, 4760, 28743, 540, 13149, 3163, 6257, 513, 1007, 267, 1973, 268, 1042, 2249, 540, 12354, 665, 7394, 1336, 538, 24861, 269, 634, 2249, 538, 519, 12593, 1452, 320, 729, 4362, 538, 519, 12219, 1970, 2000, 697, 11818, 1604, 593, 30567, 756, 531, 7813, 267, 476, 2568, 12919, 1055, 22163, 7414, 24861, 267, 676, 3173, 693, 519, 28834, 23427, 3194, 4659, 538, 24861, 630, 4306, 6020, 264, 543, 519, 2578, 549, 632, 15766, 24265, 679, 595, 1329, 857, 553, 1642, 3057, 586, 7799, 333, 860, 17144, 630, 5746, 300, 2752, 264, 693, 519, 2160, 540, 22728, 28573, 563, 14722, 3964, 519, 1007, 2249, 267, 1452, 320, 546, 531, 1470, 328, 267, 676, 9236, 922, 2168, 7592, 267, 971, 607, 7936, 11098, 543, 519, 6505, 2699, 12733, 2681, 267, 609, 519, 2483, 14722, 723, 16309, 538, 11287, 519, 1101, 1279, 26591, 4483, 540, 1344, 538, 513, 6419, 1895, 540, 2326, 1634, 607, 1884, 11717, 668, 1725, 1115, 563, 2304, 3486, 2319, 540, 3173, 814, 25528, 715, 655, 334, 781, 11646, 267, 3246, 519, 1382, 2146, 609, 606, 17170, 4199, 547, 1232, 1712, 519, 3210, 540, 3165, 547, 2483, 6734, 269, 6021, 269, 1001, 279, 1923, 7926, 5240, 454, 2767, 269, 5400, 269, 1001, 279, 1923, 7926, 5240, 454, 1704, 269, 5400, 269, 1001, 279, 1923, 7926, 5240, 454, 2641, 269, 6021, 269, 1001, 279, 1923, 11780, 12876, 5240, 454, 2641, 269, 6021, 269, 1001, 279, 1923, 3047, 7070, 454, 2641, 269, 6021, 269, 1001, 279, 1923, 2657, 543, 6925, 0, 12709, 16907, 529, 28788, 529, 19964, 7305, 540, 12937, 454, 306, 312, 6573, 307, 6865, 2969, 13256, 267, 13662, 21062, 8104, 301, 5308, 3041, 267, 6730, 667, 8656, 294, 301, 5308, 3041, 5508, 13662, 21062, 8008, 26059, 2975, 20591, 292, 3008, 2464, 454, 289, 528, 529, 28788, 529, 267, 1912, 6185, 1421, 631, 6185, 563, 289, 10667, 281, 681, 269, 14068, 3455, 267, 476, 4489, 275, 454, 17092, 4047, 10933, 5508, 12327, 4456, 2562, 9569, 454, 291, 1047, 1162, 609, 1965, 2133, 4704, 547, 1808, 543, 2790, 3676, 538, 6552, 543, 2282, 14077, 267, 2523, 3237, 267, 14552, 543, 19946, 563, 295, 629, 1080, 540, 11937, 269, 4065, 563, 30812, 819, 540, 3237, 1991, 547, 4332, 267, 543, 540, 3993, 1282, 32460, 563, 289, 9500, 267, 4074, 267, 2436, 1486, 26167, 610, 711, 282, 15747, 6765, 610, 711, 282, 2436, 972, 941, 1022, 7063, 3812, 676, 6765, 269, 7216, 2618, 558, 19318, 1646, 540, 3461, 282, 950, 646, 3459, 547, 3802, 267, 547, 2911, 693, 1697, 2053, 267, 547, 1397, 3339, 2168, 543, 2790, 1646, 269, 10886, 543, 4110, 540, 3461, 779, 2069, 563, 30999, 1575, 566, 282, 922, 2470, 543, 896, 1018, 2175, 5645, 593, 282, 2436, 6534, 547, 519, 3310, 540, 6757, 8069, 267, 791, 675, 2011, 267, 9000, 540, 3141, 1769, 269, 3683, 1740, 267, 2168, 267, 610, 2790, 269, 23582, 2175, 282, 1426, 267, 3207, 267, 1769, 267, 2011, 267, 27194, 563, 28095, 3676, 267, 609, 1965, 2133, 4704, 547, 1808, 543, 8401, 4713, 269, 4675, 2216, 2014, 540, 1459, 2068, 269, 19461, 2589, 269, 6092, 540, 2068, 543, 2126, 909, 547, 519, 1459, 942, 563, 14197, 15629, 2175, 563, 16498, 31096, 543, 1028, 2096, 11496, 563, 13750, 540, 6484, 282, 2681, 540, 2960, 543, 29935, 17011, 282, 2179, 540, 3170, 16005, 543, 16757, 1646, 563, 4910, 17508, 282, 4908, 267, 2834, 640, 267, 543, 1915, 563, 290, 597, 27218, 281, 22039, 543, 1915, 540, 13942, 543, 540, 2295, 10726, 563, 2750, 8727, 540, 519, 1585, 1471, 1356, 320, 540, 519, 1560, 267, 971, 607, 12536, 267, 620, 2939, 566, 267, 3092, 1421, 543, 2079, 540, 519, 10729, 543, 267, 1141, 16363, 19624, 267, 540, 519, 1973, 563, 306, 7219, 282, 3819, 610, 5848, 282, 6477, 7695, 267, 693, 15577, 267, 22377, 725, 282, 2783, 540, 4552, 267, 18969, 267, 4522, 267, 7633, 543, 10549, 282, 2627, 2837, 543, 21729, 334, 2173, 19318, 1062, 282, 5728, 687, 267, 17229, 267, 19975, 282, 2783, 543, 1646, 540, 4638, 8219, 543, 3252, 563, 8269, 2716, 525, 281, 14272, 18030, 267, 1273, 15362, 267, 14159, 267, 22833, 10134, 543, 28886, 10134, 267, 31971, 739, 7002, 267, 31792, 2526, 267, 7782, 16736, 630, 1721, 1769, 543, 19427, 1070, 943, 31099, 563, 29189, 783, 1272, 267, 519, 1686, 540, 922, 1646, 563, 298, 2088, 20469, 17915, 543, 2093, 269, 15765, 543, 12809, 5322, 540, 519, 1585, 2516, 540, 6091, 269, 28073, 540, 3750, 11084, 538, 1585, 8846, 269, 28073, 540, 561, 1749, 538, 6679, 543, 14656, 519, 4064, 282, 23743, 1782, 30432, 282, 28617, 282, 627, 626, 1782, 282, 25738, 543, 21400, 5322, 282, 5322, 540, 11469, 538, 1585, 8846, 282, 24948, 5322, 282, 5322, 540, 13047, 27871, 538, 4633, 282, 5322, 540, 2212, 538, 1585, 8846, 282, 5322, 540, 7916, 543, 17525, 267, 540, 3946, 543, 11263, 538, 1585, 8846, 269, 15765, 543, 12809, 5322, 540, 17657, 267, 7953, 267, 3952, 543, 19462, 563, 300, 19318, 1071, 268, 867, 1588, 281, 4982, 10329, 609, 4064, 8118, 543, 6806, 282, 6972, 267, 7555, 593, 835, 3723, 609, 4064, 1930, 543, 6806, 282, 1379, 538, 9361, 14302, 267, 547, 1747, 24933, 540, 835, 3723, 2390, 19462, 540, 824, 269, 31727, 547, 3132, 610, 16196, 2016, 7158, 540, 1585, 17119, 885, 609, 4064, 1930, 543, 6806, 282, 971, 607, 15700, 9224, 609, 9133, 540, 9416, 267, 610, 8744, 9416, 4388, 1927, 1310, 8066, 3946, 6306, 282, 1379, 547, 5660, 1507, 3604, 538, 2597, 538, 13869, 540, 3946, 267, 609, 519, 1688, 693, 1964, 543, 950, 29211, 676, 3350, 563, 20175, 547, 5431, 543, 2199, 1125, 28241, 24221, 540, 1585, 8515, 593, 1114, 2694, 540, 1560, 543, 2436, 3461, 568, 538, 713, 2463, 3339, 267, 5409, 320, 20469, 267, 3834, 10394, 20469, 267, 16562, 20469, 610, 16948, 20469, 563, 13434, 10744, 540, 3002, 543, 4411, 543, 3498, 540, 3604, 538, 2837, 593, 1585, 2694, 540, 519, 1560, 563, 7343, 21090, 540, 11213, 15128, 267, 3339, 267, 5409, 531, 2471, 545, 267, 3834, 531, 2471, 545, 267, 1387, 2471, 545, 267, 610, 1612, 531, 2471, 545, 563, 2750, 8727, 540, 2027, 12823, 281, 6492, 593, 2901, 2427, 540, 11469, 267, 547, 1114, 15128, 267, 971, 607, 6653, 267, 15280, 267, 11877, 267, 543, 6070, 563, 295, 8960, 267, 2436, 1035, 639, 529, 267, 610, 1612, 659, 639, 529, 563, 306, 697, 281, 538, 1142, 3750, 267, 3339, 610, 26843, 269, 12197, 540, 5075, 282, 7071, 540, 4778, 563, 30469, 16371, 2631, 282, 3339, 610, 26843, 563, 8138, 11187, 17915, 281, 540, 3002, 543, 4411, 282, 540, 1928, 282, 540, 6492, 282, 540, 9329, 267, 3092, 1421, 2436, 2489, 610, 2199, 630, 323, 1005, 1964, 543, 1282, 11851, 542, 1916, 2750, 8727, 540, 2362, 2790, 3252, 269, 22569, 1588, 281, 10439, 267, 2138, 850, 267, 2912, 850, 267, 3092, 563, 13434, 10744, 540, 6405, 3615, 543, 540, 5961, 563, 4504, 21526, 4238, 711, 3110, 3770, 547, 519, 3461, 563, 20175, 540, 10703, 1516, 7493, 2093, 563, 299, 16479, 1035, 583, 8864, 630, 320, 264, 585, 2798, 543, 21441, 267, 630, 321, 264, 585, 8223, 540, 5721, 540, 7744, 267, 630, 322, 264, 585, 11722, 566, 676, 9266, 3157, 563, 14157, 27035, 543, 32246, 3007, 267, 2178, 610, 4617, 563, 300, 25514, 540, 1459, 543, 2250, 2621, 563, 4467, 11772, 542, 540, 4633, 282, 32649, 540, 4633, 282, 21245, 4633, 282, 7071, 540, 2575, 610, 23964, 269, 630, 320, 264, 2038, 4862, 282, 630, 321, 264, 540, 971, 2907, 1634, 547, 3461, 282, 1379, 540, 3461, 547, 708, 10028, 610, 16196, 873, 267, 21245, 13465, 610, 4730, 269, 23779, 540, 3615, 267, 540, 5022, 267, 540, 2854, 610, 9102, 1913, 543, 2453, 282, 32649, 540, 873, 543, 741, 12093, 269, 715, 5446, 693, 8289, 1455, 3615, 267, 27766, 267, 5022, 267, 610, 1913, 269, 7335, 16965, 267, 1603, 689, 9598, 566, 267, 27766, 267, 5022, 267, 1913, 267, 2453, 269, 715, 5446, 3615, 998, 1463, 8226, 267, 6217, 267, 8289, 267, 5905, 267, 610, 9329, 267, 998, 782, 540, 873, 610, 998, 835, 2631, 563, 1103, 2013, 540, 513, 3508, 807, 3461, 949, 581, 8572, 547, 5431, 606, 1843, 676, 8289, 282, 606, 11945, 267, 585, 3236, 267, 855, 1522, 581, 2111, 547, 2697, 621, 676, 9329, 610, 6492, 267, 610, 519, 14669, 949, 581, 3020, 563, 6781, 1006, 540, 3461, 547, 1118, 5128, 6956, 676, 17267, 543, 547, 4612, 519, 17267, 540, 1866, 269, 31727, 540, 3461, 547, 1118, 24808, 4992, 267, 610, 547, 1118, 538, 691, 545, 3634, 267, 1498, 7787, 4992, 269, 5295, 540, 3461, 547, 1118, 3617, 946, 540, 3615, 269, 31727, 547, 3802, 282, 547, 954, 7758, 622, 5322, 267, 547, 30136, 1114, 2230, 12531, 269, 31727, 540, 3461, 547, 10571, 282, 547, 5431, 1585, 4930, 540, 10571, 543, 741, 946, 267, 547, 6023, 1455, 27022, 267, 971, 607, 838, 9398, 267, 585, 802, 282, 1697, 946, 540, 1426, 563, 16920, 1549, 281, 6414, 1890, 540, 5179, 3157, 630, 320, 264, 1510, 30411, 267, 630, 321, 264, 896, 30411, 282, 2436, 5179, 1184, 896, 891, 2175, 568, 4797, 610, 26740, 563, 763, 4527, 540, 1022, 540, 519, 1585, 3029, 540, 993, 5886, 807, 269, 634, 4527, 540, 5595, 610, 2789, 9637, 267, 610, 7209, 563, 3674, 519, 4164, 5886, 807, 7525, 267, 610, 1281, 621, 2049, 930, 942, 1310, 519, 1101, 12093, 888, 16920, 2931, 540, 9864, 610, 2199, 2530, 540, 9637, 267, 609, 610, 1510, 5179, 19183, 563, 25332, 969, 725, 540, 1114, 3029, 540, 3678, 520, 3359, 282, 11944, 540 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 763, 2030, 541, 3673, 807, 267, 849, 917, 607, 519, 2030, 541, 3284, 821, 340, 268, 15727, 267, 568, 513, 9157, 267, 32248, 5160, 602, 24865, 689, 519, 16321, 13920, 540, 519, 18287, 2033, 639, 543, 7696, 338, 883, 519, 1558, 520, 1513, 531, 9843, 269, 901, 3673, 807, 7028, 519, 19976, 2895, 540, 519, 3723, 269, 901, 3673, 807, 568, 896, 2566, 950, 519, 28419, 6091, 616, 9395, 563, 11847, 564, 1438, 21721, 5322, 267, 9395, 28419, 6091, 543, 31456, 25688, 267, 4881, 593, 2182, 2666, 267, 2895, 2042, 267, 5409, 25809, 566, 267, 543, 16789, 10887, 666, 782, 2014, 713, 5945, 269, 634, 2589, 1331, 1928, 693, 519, 18287, 2033, 639, 5642, 267, 799, 949, 27298, 1282, 3635, 543, 22009, 19952, 563, 291, 787, 991, 1782, 22591, 568, 2500, 3797, 585, 8156, 713, 5945, 269, 10261, 956, 666, 581, 4294, 2047, 883, 519, 28332, 267, 13035, 267, 543, 11213, 3135, 269, 6153, 2164, 666, 581, 6913, 950, 991, 1782, 568, 5916, 609, 12511, 3797, 543, 5122, 14242, 547, 2569, 28455, 543, 2087, 1973, 10009, 269, 769, 1840, 267, 519, 2126, 568, 1031, 547, 3666, 519, 3003, 30273, 1062, 269, 5565, 2126, 7886, 829, 3018, 1058, 581, 3177, 563, 24078, 713, 2376, 5363, 888, 1607, 19545, 2488, 606, 2606, 7778, 540, 519, 25029, 540, 519, 1480, 1560, 267, 609, 606, 4674, 547, 2721, 4296, 1063, 519, 1560, 1949, 543, 2491, 741, 22524, 2570, 4293, 269, 589, 5943, 585, 519, 1433, 568, 27921, 543, 875, 519, 1560, 15387, 3666, 1369, 1142, 1062, 269, 901, 568, 5497, 607, 513, 1101, 4367, 547, 17550, 585, 513, 2852, 7400, 1576, 269, 0, 13014, 589, 4643, 614, 2060, 1773, 2120, 2986, 8303, 17020, 720, 1280, 22493, 595, 8463, 910, 3487, 2290, 563, 17730, 513, 4677, 543, 5924, 1753, 1544, 614, 585, 2371, 267, 1210, 29147, 540, 8303, 6512, 1137, 267, 5068, 17428, 267, 10036, 270, 680, 770, 1815, 710, 269, 634, 1544, 614, 568, 9380, 539, 1210, 519, 29147, 540, 8303, 6512, 1137, 936, 8723, 5068, 7622, 17320, 31678, 17428, 547, 1711, 513, 1544, 614, 547, 1491, 513, 3735, 343, 9044, 689, 543, 547, 1118, 2417, 1544, 1562, 5641, 609, 6405, 563, 29605, 1031, 281, 21311, 17428, 267, 29147, 540, 8303, 6512, 1137, 267, 10036, 270, 680, 770, 1815, 710, 267, 6445, 518, 630, 328, 4318, 281, 29147, 540, 8303, 270, 576, 618, 264, 543, 1216, 563, 307, 8962, 281, 2480, 19538, 267, 1945, 547, 4412, 909, 1544, 614, 543, 3946, 563, 27645, 256, 9894, 596, 946, 713, 4051, 762, 538, 707, 4928, 888, 11754, 513, 11819, 8074, 547, 2671, 875, 596, 11368, 621, 883, 707, 3992, 269, 0, 21357, 9502, 540, 21449, 514, 454, 320, 2433, 835, 595, 274, 295, 276, 263, 15121, 264, 273, 290, 273, 295, 274, 302, 273, 5627, 1152, 835, 21449, 622, 1895, 602, 568, 1031, 30109, 538, 519, 5478, 540, 14885, 1161, 454, 1765, 1572, 849, 1395, 334, 659, 564, 514, 454, 321, 2433, 835, 595, 274, 295, 276, 263, 15121, 7565, 290, 273, 295, 274, 302, 273, 264, 273, 5627, 1079, 21449, 622, 2516, 602, 568, 1031, 30109, 607, 513, 5068, 6500, 543, 19857, 454, 1765, 1572, 849, 1019, 659, 564, 514, 454, 322, 2433, 835, 595, 274, 295, 276, 18154, 273, 295, 274, 302, 273, 264, 274, 5627, 1614, 21449, 622, 2516, 602, 568, 1031, 30109, 607, 513, 5068, 6500, 543, 19857, 543, 607, 513, 4368, 894, 538, 13526, 6979, 454, 1765, 1572, 849, 2468, 659, 564, 514, 454, 27094, 1913, 286, 10261, 1256, 811, 8847, 286, 30560, 26713, 268, 31812, 796, 30457, 454, 24552, 693, 7591, 454, 268, 634, 6153, 267, 634, 14068, 267, 1299, 634, 12054, 656, 1227, 1955, 2181, 322, 1047, 910, 476, 1015, 270, 1240, 270, 866, 454, 268, 25424, 28732, 781, 26538, 654, 1231, 543, 674, 5661, 454, 268, 634, 2598, 1584, 539, 17959, 540, 519, 1412, 292, 1375, 31201, 7055, 268, 2311, 519, 17848, 540, 2048, 290, 889, 1834, 20371, 16485, 519, 3798, 6002, 454, 268, 4208, 1684, 4658, 25460, 8784, 898, 834, 301, 1075, 983, 257, 888, 268, 2201, 2552, 10330, 540, 13038, 9293, 454, 268, 1772, 7327, 983, 1412, 5445, 262, 513, 14568, 14893, 888, 268, 7316, 538, 519, 2622, 286, 589, 13658, 6875, 519, 7688, 454, 268, 11628, 18500, 13658, 6875, 519, 7688, 454, 268, 1975, 749, 898, 6875, 519, 7688, 454, 268, 27392, 10699, 539, 7591, 519, 3014, 0, 3674, 548, 540, 2494, 454, 268, 674, 523, 7578, 645, 1794, 514, 454, 3674, 1633, 4092, 538, 519, 9721, 7256, 267, 1055, 519, 5087, 29891, 5032, 540, 4789, 563, 10048, 343, 2575, 814, 1044, 8032, 676, 519, 1772, 548, 540, 2494, 781, 2189, 2797, 4567, 543, 922, 2990, 693, 519, 2686, 3444, 30030, 540, 519, 3703, 1772, 956, 269, 2494, 343, 22966, 1206, 1185, 1044, 4168, 585, 5176, 476, 6110, 1296, 1354, 519, 12625, 538, 827, 476, 8517, 2781, 540, 25384, 32090, 13896, 267, 945, 941, 10736, 547, 8567, 543, 8547, 519, 570, 2106, 342, 12245, 630, 1706, 8365, 1040, 3245, 519, 2038, 476, 1428, 628, 2540, 27477, 2296, 4341, 729, 547, 723, 513, 7096, 1198, 593, 2686, 1272, 269, 2494, 343, 717, 6130, 545, 267, 513, 13172, 540, 9721, 543, 29703, 717, 6130, 545, 267, 729, 1869, 519, 5354, 1893, 538, 519, 2038, 476, 5197, 271, 338, 282, 519, 27614, 540, 2296, 18702, 9702, 16234, 26558, 2989, 922, 7771, 267, 4352, 621, 729, 1869, 9275, 538, 519, 476, 736, 628, 2540, 269, 29665, 543, 5010, 6402, 609, 6628, 543, 8581, 607, 1134, 607, 2417, 7192, 1752, 5280, 3337, 513, 10058, 7574, 1272, 563, 28012, 2575, 814, 15068, 689, 1354, 519, 476, 1240, 628, 2540, 267, 4352, 17245, 2963, 6920, 602, 972, 729, 606, 3742, 7574, 1272, 693, 782, 2157, 540, 2494, 343, 2486, 269, 634, 2296, 700, 3581, 540, 2494, 630, 1492, 1274, 3149, 540, 14216, 2421, 543, 741, 1967, 832, 519, 546, 4157, 525, 540, 19158, 3326, 267, 3267, 0, 21848, 532, 568, 519, 7887, 6848, 4161, 585, 519, 4947, 5756, 269, 634, 1764, 540, 606, 30333, 2551, 593, 938, 3782, 1062, 568, 10373, 269, 634, 8167, 540, 17417, 9907, 476, 4792, 1296, 543, 4587, 568, 4397, 547, 1332, 689, 476, 1704, 269, 276, 260, 538, 476, 1001, 272, 547, 476, 2190, 260, 538, 476, 10711, 271, 269, 634, 1644, 4473, 538, 5312, 2068, 267, 5916, 609, 1447, 2635, 19824, 267, 786, 1267, 538, 606, 23292, 2208, 538, 938, 3461, 2551, 269, 2311, 519, 1482, 942, 267, 10565, 22520, 540, 10986, 616, 4397, 538, 519, 1416, 10126, 269, 634, 13814, 267, 585, 1383, 267, 786, 991, 476, 6110, 269, 1822, 811, 674, 15288, 338, 952, 789, 1616, 547, 1683, 1416, 538, 519, 1482, 1259, 607, 621, 568, 2944, 1631, 1472, 476, 1708, 271, 593, 476, 272, 269, 274, 2929, 1416, 5234, 2818, 4867, 630, 290, 7034, 476, 1001, 272, 1040, 4475, 267, 1582, 2359, 540, 3782, 568, 519, 1292, 1445, 540, 19951, 7262, 7239, 269, 28088, 532, 538, 513, 2178, 991, 547, 1832, 1004, 3476, 693, 1753, 267, 4505, 1394, 1753, 630, 12898, 1373, 32509, 264, 543, 2635, 693, 1753, 563, 7883, 531, 540, 519, 1382, 3760, 454, 2026, 3782, 568, 513, 1950, 1062, 5473, 1585, 3755, 267, 6887, 267, 2029, 543, 9962, 3157, 282, 4264, 3435, 3112, 581, 6913, 538, 9678, 630, 11357, 264, 17882, 338, 269, 589, 9488, 1620, 540, 782, 3755, 2168, 543, 2790, 4162, 267, 7180, 543, 2796, 540, 946, 568, 1898, 269, 5071, 619, 1491, 513, 1949, 1935, 538, 630, 1723, 268, 264, 9188, 793, 532, 2472, 547, 1480, 1125, 1072, 1604, 543, 1072, 2029, 269, 1715, 2645, 616, 2877, 602, 2232, 519, 6988, 540, 1312, 6413, 267, 1753, 1416, 543, 2146, 1416, 282, 2645, 602, 7001, 513, 11455, 1620, 585, 519, 1416, 3510, 267, 6236, 13865, 267, 6198, 267, 2804, 543, 1480, 3344, 540, 621, 563, 7437, 713, 1382, 3760, 267, 649, 5352, 4030, 543, 22509, 2074, 593, 912, 268, 5071, 585, 10826, 282, 2519, 593, 519, 835, 1688, 2427, 593, 519, 2564, 3318, 267, 13141, 269, 4791, 1983, 267, 1875, 12641, 25766, 1983, 543, 2866, 269, 2201, 519, 824, 1688, 3136, 2564, 5796, 267, 1489, 543, 5464, 2899, 711, 15042, 896, 7189, 2126, 547, 2061, 2887, 1532, 2931, 563, 268, 5071, 585, 1416, 282, 2519, 593, 519, 3461, 267, 1519, 1753, 3249, 543, 3461, 1995, 454, 268, 5071, 585, 1857, 1072, 282, 2519, 593, 6604, 543, 2635, 10172, 269, 634, 2564, 2146, 814, 513, 2603, 540, 1702, 602, 2636, 9858, 547, 2490, 621, 883, 3407, 11215, 1949, 269, 634, 2564, 2146, 2705, 1281, 917, 1018, 4030, 9858, 666, 946, 547, 1376, 689, 269, 5071, 619, 991, 547, 3605, 891, 4030, 563, 11854, 32496, 267, 649, 5352, 1702, 593, 912, 268, 5303, 5610, 267, 609, 552, 268, 8234, 543, 1416, 693, 1753, 2921, 7986, 5107, 607, 1134, 607, 8519, 3259, 540, 6413, 3251, 563, 268, 21111, 16882, 281, 2550, 786, 991, 547, 1491, 811, 5539, 585, 741, 1378, 1072, 267, 2126, 543, 1416, 563, 268, 1215, 547, 3895, 2635, 7180, 563, 7437, 713, 1382, 3760, 649, 11753, 519, 2029, 5133, 630, 1905, 573, 1486, 19685, 1070, 519, 1004, 5133, 630, 2421, 10451, 4030, 593, 2564, 1702, 607, 1134, 607, 19326, 543, 23908, 517, 15299, 264, 543, 519, 1870, 5133, 630, 514, 2617, 894, 1870, 3631, 585, 10826, 543, 1416, 1040, 0, 13644, 375, 18263, 355, 7511, 420, 489, 365, 24757, 16088, 1348, 18998, 13231, 344, 13601, 18998, 1348, 420, 489, 365, 1496, 686, 281, 323, 316, 22614, 378, 492, 1496, 686, 281, 323, 316, 642, 339, 269, 261, 19274, 269, 421, 502, 483, 13644, 375, 8147, 10951, 501, 13644, 375, 282, 13107, 378, 419, 353, 374, 282, 419, 510, 498, 419, 358, 370, 282, 419, 506, 489, 23523, 501, 418, 485, 480, 26404, 269, 421, 502, 483, 13644, 375, 282, 13107, 378, 419, 353, 374, 282, 13644, 375, 418, 485, 480, 8147, 419, 494, 484, 25335, 352, 333, 269, 421, 502, 483, 13644, 375, 282, 13644, 375, 18263, 355, 282, 13644, 375, 29830, 358, 282, 19404, 490, 23523, 371, 27818, 32512, 12571, 491, 24724, 29951, 269, 420, 351, 360, 10951, 501, 13644, 375, 7511, 282, 22287, 504, 13644, 484, 7511, 282, 22287, 504, 25335, 486, 7511, 282, 20069, 454, 420, 489, 365, 1496, 686, 281, 323, 316, 22614, 378, 492, 1496, 686, 281, 323, 2639, 272, 18998, 296, 1224, 585, 12257, 563, 273, 18998, 5445, 941, 1869, 3843, 547, 4001, 1200, 547, 1224, 543, 2328, 454, 420, 489, 365, 1496, 16659, 560, 390, 490, 10972, 316, 22614, 378, 492, 1496, 16659, 560, 390, 490, 10972, 2639, 272, 18998, 7069, 7015, 543, 594, 1353, 538, 519, 1647, 1153, 563, 273, 18998, 3086, 602, 594, 993, 1134, 1586, 267, 594, 666, 979, 593, 609, 1250, 1353, 563, 420, 489, 365, 1496, 16745, 16659, 339, 754, 1236, 340, 281, 331, 316, 22614, 378, 492, 1496, 16745, 16659, 339, 389, 505, 526, 1236, 592, 2639, 272, 18998, 1103, 835, 4528, 267, 1053, 7390, 1153, 585, 8370, 4374, 543, 1287, 723, 1614, 4374, 1055, 563, 273, 18998, 10303, 1434, 693, 2296, 267, 581, 1362, 4363, 547, 7390, 1153, 2296, 5152, 16311, 267, 4465, 519, 2034, 9344, 563, 11590, 490, 18998, 2041, 693, 1153, 454, 420, 489, 365, 1496, 6798, 281, 3331, 355, 339, 1236, 340, 281, 331, 316, 22614, 378, 492, 1496, 6798, 3331, 355, 339, 1236, 592, 2639, 272, 18998, 296, 1058, 581, 693, 1153, 3079, 540, 14084, 1934, 538, 5127, 563, 273, 18998, 2171, 786, 581, 693, 1153, 14182, 563, 25263, 502, 419, 378, 492, 7511, 420, 489, 365, 24757, 13644, 501, 13601, 18998, 20693, 365, 417, 379, 501, 420, 489, 365, 24757, 13644, 501, 22142, 2285, 909, 267, 8550, 6336, 4126, 269, 11408, 723, 5132, 267, 898, 2636, 596, 547, 11883, 269, 8347, 532, 2053, 786, 1780, 267, 1306, 789, 2141, 798, 269, 3807, 723, 9639, 267, 2659, 9909, 786, 2097, 3020, 269, 1924, 2322, 593, 513, 12837, 267, 1411, 3513, 2661, 998, 707, 1928, 269, 5700, 621, 786, 1780, 267, 1656, 4222, 596, 786, 2744, 17276, 364, 372, 21251, 418, 498, 378, 19764, 481, 5236, 376, 490, 17276, 364, 372, 21251, 417, 379, 481, 419, 479, 364, 418, 482, 493, 19540, 371, 476, 25707, 418, 364, 372, 11858, 502, 32517, 350, 417, 379, 369, 5236, 376, 490, 13127, 362, 481, 25263, 504, 12916, 379, 12916, 510, 18021, 498, 10524, 502, 420, 485, 359, 417, 28187, 476, 25707, 421, 504, 378, 29004, 365, 7511, 28793, 10429, 487, 14756 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 779, 19001, 20109, 593, 18060, 532, 3615, 9789, 8851, 540, 12042, 27509, 630, 272, 634, 1087, 531, 517, 2103, 476, 273, 281, 1240, 1070, 519, 3356, 540, 519, 960, 538, 1688, 630, 273, 634, 1087, 531, 517, 2103, 476, 274, 281, 272, 535, 4700, 1765, 8117, 713, 1279, 532, 2141, 19347, 873, 281, 32647, 269, 585, 31330, 413, 376, 364, 19084, 26018, 32703, 609, 31208, 269, 476, 272, 634, 1087, 531, 517, 2103, 476, 273, 281, 1321, 267, 543, 4063, 269, 1280, 31057, 364, 29857, 15770, 413, 379, 500, 14832, 26018, 30307, 372, 12631, 16708, 32703, 17385, 22886, 11027, 14267, 14832, 18841, 377, 495, 19031, 413, 379, 370, 14832, 267, 1294, 476, 272, 634, 1087, 531, 517, 2103, 476, 273, 281, 1704, 269, 634, 2832, 540, 519, 1657, 24818, 15770, 413, 379, 500, 17385, 15184, 10382, 15403, 568, 1079, 19507, 281, 968, 1729, 1294, 519, 3068, 892, 540, 741, 11537, 634, 1087, 531, 517, 2103, 1131, 581, 606, 3665, 11815, 2305, 547, 519, 5830, 282, 543, 713, 9547, 568, 4857, 267, 676, 519, 24064, 1529, 636, 540, 513, 2582, 2376, 267, 609, 519, 26460, 3976, 4547, 547, 741, 3988, 267, 1765, 15770, 413, 376, 364, 19084, 26018, 30307, 372, 2560, 3852, 374, 10382, 30307, 370, 3852, 374, 10382, 16483, 10382, 16708, 16483, 29111, 17385, 10382, 15403, 26018, 30307, 364, 18841, 377, 495, 17385, 16483, 15770, 16708, 394, 362, 19031, 10382, 16483, 10382, 26018, 413, 379, 484, 19084, 12631, 29111, 17385, 16483, 15770, 22886, 19084, 18841, 377, 495, 19031, 413, 379, 370, 14832, 267, 538, 1931, 547, 630, 5408, 707, 3068, 264, 543, 1118, 1434, 519, 19518, 540, 707, 5132, 281, 968, 583, 1139, 548, 600, 639, 892, 630, 2254, 968, 1260, 921, 600, 639, 2223, 607, 538, 23977, 326, 4700, 968, 638, 19508, 22514, 337, 19508, 535, 728, 328, 964, 2863, 892, 630, 9773, 9109, 1070, 968, 583, 32646, 857, 600, 639, 267, 1299, 322, 1848, 630, 6826, 5633, 1040, 31057, 358, 12631, 29111, 17385, 16483, 15403, 19084, 18841, 377, 495, 19031, 413, 379, 370, 14832, 267, 1175, 607, 538, 476, 272, 634, 1087, 531, 517, 2103, 476, 274, 281, 273, 282, 476, 272, 634, 1087, 531, 517, 2103, 476, 274, 281, 276, 630, 5408, 4967, 1070, 6763, 585, 519, 2898, 8567, 540, 519, 634, 1087, 531, 517, 2103, 269, 3852, 353, 30307, 364, 18841, 377, 495, 17385, 16483, 15770, 16708, 394, 362, 19031, 10382, 16483, 10382, 2798, 547, 1018, 729, 15877, 711, 538, 855, 547, 968, 1492, 5132, 892, 540, 519, 3988, 269, 16200, 543, 32344, 538, 3294, 630, 5408, 476, 272, 634, 1087, 531, 517, 2103, 476, 272, 281, 274, 282, 476, 272, 634, 1087, 531, 517, 2103, 476, 272, 281, 279, 267, 476, 272, 634, 1087, 531, 517, 2103, 476, 273, 281, 1724, 267, 476, 272, 634, 1087, 531, 517, 2103, 476, 274, 281, 277, 268, 279, 282, 476, 273, 634, 1087, 531, 517, 2103, 476, 272, 281, 274, 1070, 602, 5132, 2838, 811, 1702, 630, 5408, 552, 3052, 269, 476, 272, 634, 1087, 531, 517, 2103, 476, 275, 281, 1724, 1070, 811, 5837, 9015, 543, 18813, 640, 540, 1272, 630, 272, 634, 1087, 531, 517, 2103, 476, 275, 281, 272, 268, 1321, 264, 543, 2259, 538, 519, 2081, 540, 14039, 1214, 630, 272, 634, 1087, 531, 517, 2103, 476, 276, 281, 1321, 268, 2420, 1070, 811, 865, 321, 686, 1214, 540, 2191, 267, 811, 8669, 1465, 543, 1582, 1790, 1601, 11970, 630, 272, 634, 1087, 531, 517, 2103, 476, 276, 281, 272, 268, 279, 282, 476, 273, 634, 1087, 531, 517, 2103, 476, 273, 281, 272, 535, 325, 12175, 1280, 519, 6662, 1024, 1438, 547, 18841, 377, 495, 17385, 16483, 394, 511, 16708, 24341, 19031, 10382, 267, 32647, 269, 2051, 1601, 2103, 476, 272, 281, 2190, 282, 476, 273, 29833, 2103, 476, 279, 281, 1724, 535, 5919, 849, 4460, 476, 1015, 281, 2641, 267, 31057, 499, 14832, 21566, 15770, 18841, 377, 495, 17385, 16483, 15770, 16708, 15770, 413, 379, 500, 269, 3852, 504, 10382, 16483, 10382, 16708, 16483, 29111, 394, 370, 22886, 1797, 547, 1305, 1318, 267, 2953, 1765, 2254, 547, 2347, 1945, 26843, 538, 3294, 267, 855, 547, 1118, 1434, 543, 3514, 856, 602, 799, 19330, 519, 2200, 610, 2175, 2556, 547, 922, 1697, 2962, 610, 10278, 281, 32647, 269, 14564, 476, 280, 281, 2420, 282, 1261, 3691, 9749, 476, 1724, 281, 2641, 282, 15623, 476, 275, 281, 2641, 267, 1765, 2108, 10517, 1515, 532, 741, 24437, 31865, 543, 1294, 8752, 20584, 779, 4063, 740, 1327, 269, 476, 272, 634, 1087, 531, 517, 2103, 476, 274, 281, 1556, 268, 1724, 13236, 856, 519, 11755, 799, 519, 5830, 267, 607, 789, 723, 1175, 1767, 267, 616, 16111, 1818, 267, 476, 272, 634, 1087, 531, 517, 2103, 476, 274, 281, 1556, 7222, 547, 31330, 413, 376, 364, 19084, 26018, 30307, 372, 31057, 364, 29857, 15770, 413, 379, 500, 14832, 3852, 374, 269, 16483, 269, 16575, 1421, 543, 476, 272, 634, 1087, 531, 517, 2103, 476, 274, 281, 1321, 535, 269, 547, 519, 3852, 374, 10382, 16483, 10382, 16708, 16483, 29111, 17385, 10382, 15403, 26018, 30307, 364, 18841, 377, 495, 17385, 16483, 15770, 16708, 394, 362, 19031, 10382, 16483, 10382, 540, 476, 272, 634, 1087, 531, 517, 2103, 476, 274, 281, 1015, 269, 7638, 572, 476, 1556, 476, 1556, 269, 3852, 495, 30307, 494, 16483, 30307, 372, 19084, 24818, 30307, 366, 18841, 377, 479, 16564, 15770, 30307, 372, 19084, 3852, 374, 10382, 30307, 370, 12631, 10382, 16483, 30307, 368, 16708, 31057, 350, 19031, 413, 379, 370, 14832, 3852, 374, 10382, 30307, 370, 18841, 377, 479, 3852, 374, 395, 491, 16708, 15403, 14267, 19084, 31057, 350, 19031, 413, 379, 370, 14832, 31057, 372, 24341, 17385, 14267, 413, 379, 355, 19084, 3852, 374, 10382, 16483, 15770, 21227, 15184, 395, 491, 14832, 10382, 15403, 26018, 30307, 368, 14832, 18841, 377, 479, 29857, 30307, 372, 14832, 31057, 350, 19031, 413, 379, 370, 14832, 3852, 374, 269, 16483, 269, 16575, 269, 3767, 949, 938, 2696, 543, 12429, 13924, 1345, 267, 543, 938, 7083, 4906, 267, 1463, 938, 1259, 21349, 596, 269, 634, 24347, 956, 9029, 547, 968, 18661, 13924, 1345, 543, 2441, 892, 547, 2312, 741, 1259, 547, 634, 1087, 531, 517, 3821, 267, 554, 2416, 1729, 29572, 539, 676, 30616, 630, 272, 634, 1087, 531, 517, 2103, 476, 273, 281, 1240, 282, 32647, 269, 476, 273, 634, 1087, 531, 517, 2103, 476, 274, 281, 274, 282, 476, 273, 634, 1087, 531, 517, 2103, 476, 274, 281, 276, 1040, 1924, 1082, 19001, 267, 2705, 267, 538, 891, 1079, 9210, 30178, 2253, 609, 519, 4542, 3852, 495, 30307, 494, 16483, 30307, 372, 19084, 24818, 30307, 366, 18841, 377, 479, 16564, 15770, 32703, 19084, 610, 18841, 377, 479, 3852, 374, 395, 491, 16708, 15403, 14267, 19084, 267, 799, 568, 15116, 547, 873, 630, 272, 634, 1087, 531, 517, 2103, 476, 276, 281, 2537, 282, 476, 273, 634, 1087, 531, 517, 2103, 476, 273, 281, 1626, 282, 476, 273, 634, 1087, 531, 517, 2103, 476, 274, 281, 1626, 1070, 602, 835, 11688, 527, 919, 547, 2482, 2566, 593, 519, 14668, 30307, 494, 16483, 32703, 19084, 1934, 281, 713, 949, 1611, 1152, 267, 607, 8752, 20584, 12662, 621, 267, 602, 968, 5475, 782, 1767, 543, 2944, 267, 621, 568, 585, 2696, 13924, 1345, 547, 1463, 938, 2619, 1848, 3245, 968, 712, 2696, 543, 12429, 892, 630, 5408, 476, 272, 634, 1087, 531, 517, 2103, 476, 272, 281, 274, 267, 543, 4063, 264, 519, 24347, 956, 6159, 557, 519, 948, 799, 267, 538, 713, 19988, 543, 1178, 4109, 1915, 267, 1261, 568, 15983, 3808, 547, 2285, 630, 22396, 269, 476, 273, 634, 1087, 531, 517, 2103, 476, 273, 281, 1626, 282, 15623, 476, 277, 281, 279, 535, 5919, 19279, 476, 1556, 281, 1724, 282, 3627, 476, 1704, 281, 1556, 1040, 3852, 504, 10382, 16483, 15770, 21227, 15184, 395, 491, 14832, 22886, 267, 547, 1118, 2786, 12544, 8106, 8231, 267, 1336, 1152, 1934, 543, 538, 476, 273, 634, 1087, 531, 517, 2103, 476, 274, 281, 276, 267, 19279, 476, 272, 281, 8064, 267, 538, 519, 715, 11053, 5919, 513, 1455, 744, 11053, 269, 2262, 630, 5408, 552, 3052, 269, 25360, 916, 476, 276, 281, 279, 282, 25360, 916, 476, 14093, 281, 276, 267, 700, 18958, 2567, 621, 568, 519, 6587, 540, 31057, 494, 14832, 24681, 32703, 11027, 16483, 22886, 267, 476, 272, 634, 1087, 531, 517, 2103, 476, 273, 281, 1240, 630, 5408, 4063, 1040, 634, 7681, 540, 968, 712, 7083, 4906, 892, 609, 968, 18661, 519, 12429, 892, 538, 6411, 540, 11755, 543, 7064, 15130, 568, 513, 1360, 18476, 4183, 540, 891, 1079, 16707, 282, 621, 3413, 3581, 11141, 2963, 267, 4947, 689, 519, 9510, 715, 11053, 269, 12591, 267, 540, 519, 25976, 540, 4906, 2441, 607, 713, 729, 22885, 676, 519, 1101, 10271, 282, 519, 1079, 616, 865, 4857, 602, 789, 1293, 607, 835, 630, 22396, 269, 519, 1913, 540, 4906, 538, 3627, 476, 1015, 281, 1789, 267, 31057, 494, 24556, 30307, 376, 3852, 374, 10382, 30307, 370, 18841, 377, 479, 12631, 10382, 16483, 30307, 368, 16708, 31057, 499, 14832, 31057, 494, 17385, 19031, 15770, 14832, 1070, 16471, 538, 519, 13737, 1904, 894, 2392, 6510, 267, 3852, 374, 10382, 16483, 15770, 21227, 15184, 395, 491, 14832, 10382, 15403, 281, 1294, 849, 476, 273, 634, 1087, 531, 517, 2103, 476, 273, 281, 1626, 535, 1421, 543, 4063, 269, 634, 21936, 540, 476, 272, 634, 1087, 531, 517, 2103, 476, 274, 281, 1321, 568, 9619, 547, 968, 1492, 7083, 892, 9003, 269, 7638, 572, 476, 1321, 476, 1321, 269, 18841, 377, 495, 19031, 413, 378, 370, 19084, 24818, 30307, 366, 18841, 377, 479, 3852, 374, 395, 491, 16708, 15403, 14267, 19084, 12631, 16575, 15770, 14267, 14832, 31149, 17385, 10382, 15403, 3852, 374, 10382, 30307, 370, 12631, 15770, 16708, 15403, 17385, 17385, 15770, 395, 491, 17385, 10382, 15403, 26018, 413, 379, 485, 31057, 478, 24556, 31149, 11027, 413, 379, 481, 31330, 413, 376, 364, 19084, 31057, 478, 16575, 16575, 394, 362, 16575, 14267, 21227, 19084, 3852, 374, 10382, 30307, 370, 31330, 413, 376, 364, 19084, 12631, 31149, 14832, 16483, 10382, 19084, 269, 1809, 596, 949, 519, 7083, 1118, 547, 2333, 543, 24492, 538, 707, 2648, 4724, 835, 1776, 543, 4724, 782, 269, 476, 272, 634, 1087, 531, 517, 2103, 476, 274, 281, 1321, 10596, 689, 5830, 547, 3988, 609, 519, 4334, 633, 24818, 394, 511, 269, 968, 763, 7083, 2223, 538, 853, 6754, 779, 2489, 6165, 1765, 629, 913, 782, 267, 1141, 621, 2047, 5205, 18841, 377, 479, 3852, 374, 395, 491, 16708, 15403, 14267, 19084, 31057, 350, 19031, 413, 379, 370, 14832, 31057, 372, 269, 3852, 356, 23102, 1889, 753, 4906, 2441, 267, 711, 519, 12429, 281, 32647, 269, 476, 272, 634, 1087, 531, 517, 2103, 476, 274, 281, 279, 267, 476, 272, 634, 1087, 531, 517, 2103, 476, 272, 281, 277, 267, 476, 272, 634, 1087, 531, 517, 2103, 476, 275, 281, 1428, 535, 325, 1421, 476, 272, 634, 1087, 531, 517, 2103, 476, 276, 281, 2767, 267, 543, 519, 31057, 350, 19031, 413, 379, 500, 14832, 2560, 31330, 413, 376, 370, 19084, 3852, 374, 395, 491, 16708, 15403, 14267, 19084, 540, 476, 272, 29833, 2103, 476, 279, 281, 277, 282, 9210, 1127, 2103, 476, 275, 281, 276, 269, 769, 476, 273, 634, 1087, 531, 517, 2103, 476, 274, 281, 276, 282, 476, 273, 634, 1087, 531, 517, 2103, 476, 274, 281, 1626, 968, 1492, 7083, 892, 568, 1586, 9619, 267, 3833, 796, 637, 5703, 569, 267, 538, 11755, 281, 32647, 269, 476, 273, 29833, 2103, 476, 1321, 281, 279, 282, 476, 273, 30227, 476, 272, 281, 1626, 268, 1240, 282, 20450, 476, 272, 281, 2190, 282, 20450, 476, 278, 281, 6795, 535, 269, 634, 7083, 4906, 568, 4280, 267, 538, 1198, 267, 547, 5351, 519, 30593, 618, 540, 3571, 1378, 4971, 540, 2648, 630, 11990, 476, 1724, 281, 4097, 267, 1299, 322, 4700, 543, 547, 3501, 538, 3571, 20785, 519, 11419, 540, 799, 1261, 568, 519, 1383, 543, 8756, 630, 5408, 8895, 520, 2103, 476, 273, 281, 736, 282, 9210, 1127, 2103, 476, 276, 281, 273, 267, 1299, 322, 12175, 3852, 510, 15770, 16708, 15403, 17385, 17385, 15770, 395, 491, 17385, 10382, 15403, 630, 24708, 10731, 264, 11503, 12631, 16575, 15770, 14267, 14832, 31149, 17385, 10382, 15403, 630, 24708, 811, 2567, 32647, 269, 519, 8390, 538, 14564, 476, 276, 281, 736, 282, 476, 273, 29833, 2103, 476, 275, 281, 1428, 269, 22527, 3602, 538, 519 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1312, 3237, 454, 305, 756, 22199, 267, 799, 616, 513, 1826, 540, 1950, 6675, 1336, 538, 782, 2713, 2281, 267, 4483, 1648, 630, 641, 5406, 476, 274, 994, 12441, 596, 1205, 621, 1318, 286, 476, 273, 547, 519, 1379, 540, 910, 274, 2501, 547, 476, 271, 269, 10219, 610, 476, 272, 270, 279, 630, 641, 5406, 1079, 994, 763, 1101, 2626, 568, 519, 2953, 835, 630, 330, 815, 476, 272, 269, 276, 264, 538, 713, 535, 328, 754, 880, 569, 2352, 23722, 13004, 2243, 454, 7197, 14478, 5240, 7044, 454, 268, 2398, 1678, 3122, 737, 6506, 4351, 4807, 689, 3297, 4929, 7063, 454, 268, 1744, 12177, 595, 6311, 309, 540, 1895, 3423, 1836, 22215, 812, 693, 911, 332, 6728, 454, 268, 2782, 940, 18753, 12474, 281, 17268, 30380, 569, 4323, 1630, 541, 538, 10476, 454, 268, 2473, 268, 3603, 8301, 17157, 568, 18417, 5129, 1282, 3377, 1867, 454, 268, 6184, 2033, 569, 1164, 543, 5906, 3490, 7914, 14827, 13986, 676, 1079, 2367, 454, 268, 31315, 1347, 1067, 10596, 856, 950, 9226, 1193, 9201, 1864, 1282, 1397, 454, 268, 4813, 518, 2875, 3081, 2706, 23734, 550, 13032, 1221, 1864, 538, 1153, 454, 268, 631, 7246, 25142, 5679, 4169, 856, 1582, 3491, 13094, 30733, 932, 684, 737, 2426, 8034, 4487, 454, 268, 9214, 323, 1043, 4090, 12681, 3338, 543, 3217, 1055, 689, 7299, 2196, 3118, 454, 268, 1744, 12177, 4090, 1286, 726, 965, 338, 883, 19516, 20379, 11318, 835, 538, 7335, 454, 268, 4911, 787, 7814, 626, 10874, 919, 9920, 585, 18736, 538, 4783, 26738, 454, 268, 1520, 22789, 26036, 5652, 875, 3149, 1412, 296, 2648, 596, 262, 609, 9599, 8227, 0, 347, 20082, 610, 12834, 454, 268, 3345, 1977, 14713, 540, 25906, 525, 700, 269, 949, 4228, 607, 1507, 4829, 25210, 3343, 2249, 547, 4129, 1518, 24972, 12734, 7031, 269, 634, 25906, 525, 2872, 729, 26793, 585, 5756, 856, 540, 4250, 602, 16916, 3109, 1225, 7847, 543, 979, 846, 11241, 1131, 14556, 1518, 519, 16507, 2068, 3043, 12566, 1025, 3563, 15309, 630, 310, 303, 16576, 264, 593, 2947, 16250, 539, 548, 12566, 630, 303, 19434, 700, 269, 3296, 2372, 22055, 1030, 16288, 324, 264, 2249, 269, 1452, 533, 1149, 941, 13840, 4105, 547, 519, 16025, 2872, 269, 4653, 267, 2030, 9742, 619, 3343, 547, 7794, 519, 25906, 525, 1507, 4829, 2872, 998, 2504, 540, 1570, 5078, 585, 3345, 1977, 2175, 269, 20368, 870, 547, 713, 4674, 568, 519, 1646, 540, 4187, 1996, 2101, 10860, 543, 3676, 269, 22320, 619, 1590, 581, 2111, 547, 5431, 519, 10305, 540, 2139, 1024, 8040, 1991, 547, 2361, 10661, 269, 634, 6859, 540, 713, 1382, 941, 547, 3313, 2068, 4187, 543, 4307, 1670, 4162, 540, 25906, 525, 25926, 693, 519, 2136, 2276, 4972, 540, 11982, 267, 16581, 3194, 6796, 267, 2817, 1849, 4689, 2885, 680, 11047, 3115, 12141, 630, 10998, 16165, 264, 538, 4856, 341, 718, 529, 267, 14822, 563, 7712, 519, 2038, 476, 4350, 271, 781, 267, 2030, 9742, 619, 723, 1031, 4761, 3109, 1225, 7949, 630, 305, 269, 562, 580, 5300, 700, 4700, 10351, 680, 11047, 607, 513, 1852, 8671, 545, 1996, 519, 16678, 654, 303, 16576, 267, 3361, 676, 519, 454, 21353, 21355, 3912, 322, 23176, 17343, 595, 1258, 691, 1756, 10775, 545, 7637, 808, 5861, 269, 674, 29531, 269, 769, 476, 1960, 280, 267, 513, 6079, 1782, 2551, 729, 6383, 693, 519, 12135, 16165, 689, 513, 3444, 5473, 11630, 16537, 650, 622, 681, 269, 562, 580, 5300, 1412, 13051, 700, 558, 1180, 262, 543, 4761, 588, 3133, 622, 2385, 681, 269, 721, 31162, 1329, 572, 3967, 322, 345, 269, 1535, 681, 269, 562, 580, 5300, 1412, 8256, 677, 9538, 1677, 1449, 519, 18472, 540, 4187, 538, 519, 674, 8975, 479, 2551, 267, 513, 324, 857, 2214, 648, 543, 579, 1042, 7236, 2214, 648, 5574, 941, 4294, 538, 476, 1220, 279, 547, 2582, 6122, 2378, 2571, 6229, 27191, 896, 6417, 2175, 538, 513, 8511, 269, 1763, 9665, 674, 8975, 479, 4307, 8040, 5302, 27935, 538, 513, 476, 272, 281, 272, 5223, 5812, 609, 519, 4806, 540, 2241, 8789, 18472, 540, 513, 2582, 5444, 269, 14464, 26912, 2827, 4152, 513, 324, 857, 2214, 648, 543, 579, 1042, 7236, 2214, 648, 3468, 2032, 3812, 6697, 2068, 10335, 538, 519, 8097, 25906, 525, 1024, 8040, 269, 18650, 547, 519, 5065, 8869, 344, 7646, 1168, 17343, 267, 23093, 657, 6495, 5028, 544, 832, 268, 12320, 2801, 630, 19913, 933, 514, 4700, 772, 269, 9466, 543, 590, 269, 28635, 600, 1846, 340, 267, 729, 849, 11117, 538, 519, 674, 8975, 479, 2551, 269, 15706, 5302, 27935, 585, 4187, 538, 513, 476, 272, 281, 274, 5223, 1310, 4598, 547, 11506, 2068, 2604, 538, 519, 8511, 269, 17823, 10117, 674, 8975, 479, 1024, 8040, 941, 11259, 547, 1312, 16507, 13596, 543, 616, 10457, 585, 2417, 9960, 8062, 563, 1103, 513, 2034, 1353, 267, 2947, 1296, 540, 5614, 4307, 1670, 5619, 1239, 941, 9916, 1210, 513, 3395, 4110, 6377, 630, 294, 24884, 264, 2203, 267, 609, 519, 6662, 547, 2697, 28212, 9862, 547, 3345, 1977, 2175, 269, 25906, 525, 3296, 2836, 984, 582, 787, 320, 729, 519, 9998, 1895, 547, 3914, 834, 14140, 16036, 2437, 4553, 18615, 569, 676, 681, 269, 1496, 338, 1575, 619, 5296, 316, 343, 333, 573, 580, 1503, 7559, 645, 21516, 10316, 2249, 267, 3296, 6641, 874, 30575, 343, 267, 3296, 24162, 983, 807, 267, 3296, 25906, 525, 267, 543, 2063, 569, 267, 3296, 15636, 787, 8364, 335, 636, 269, 7216, 543, 3735, 32704, 1359, 1569, 687, 941, 4857, 585, 1142, 3454, 517, 269, 0, 6624, 1004, 9794, 1776, 1268, 781, 7209, 543, 7099, 676, 1152, 4393, 513, 1507, 2179, 540, 1344, 827, 873, 269, 1284, 949, 1294, 513, 1268, 28617, 693, 519, 17365, 4558, 543, 1589, 789, 723, 513, 795, 990, 658, 6891, 269, 1879, 649, 1294, 873, 693, 960, 267, 789, 949, 581, 4411, 543, 620, 334, 1993, 269, 4658, 616, 1419, 24565, 676, 891, 32638, 30181, 269, 8616, 267, 519, 1268, 568, 15268, 547, 519, 3510, 269, 901, 21467, 332, 3508, 529, 593, 7209, 543, 519, 19765, 11582, 540, 519, 3510, 568, 1634, 607, 4909, 5316, 1081, 5470, 630, 7069, 619, 476, 3583, 277, 1040, 634, 1268, 814, 4957, 741, 2623, 547, 2746, 547, 513, 1114, 3510, 269, 901, 5470, 666, 2014, 721, 547, 6003, 543, 17048, 1004, 7301, 569, 563, 2691, 649, 946, 1152, 7099, 543, 2623, 547, 9794, 513, 1268, 543, 26777, 519, 3510, 621, 781, 606, 5316, 1081, 5470, 269, 1879, 649, 2746, 547, 3871, 621, 568, 3006, 2352, 547, 1174, 875, 1454, 568, 938, 2623, 1373, 6417, 676, 938, 1378, 8456, 543, 875, 1454, 938, 2623, 568, 9013, 1018, 649, 1589, 269, 10705, 2053, 1004, 616, 5143, 1412, 24708, 519, 1655, 540, 621, 8339, 1703, 949, 581, 513, 1362, 602, 513, 2875, 3085, 1405, 2972, 2943, 4485, 621, 609, 513, 2318, 10182, 269, 1403, 824, 3544, 7506, 616, 8766, 267, 649, 949, 798, 1134, 538, 519, 1362, 630, 7069, 619, 476, 3583, 280, 1040, 1717, 267, 952, 1004, 2995, 721, 649, 786, 3111, 538, 519, 1362, 267, 543, 649, 1810, 1405, 1491, 1022, 2962, 547, 1689, 519, 10182, 267, 649, 786, 2693, 3111, 563, 31535, 602, 938, 10182, 666, 1689, 938, 2623, 666, 581, 6225, 538, 4657, 938, 2729, 269, 1284, 949, 711, 581, 2111, 547, 1689, 13497, 610, 3533, 267, 855, 649, 949, 581, 2111, 547, 7369, 938, 2623, 513, 1900, 693, 513, 942, 269, 634, 3723, 2987, 7308, 1673, 3233, 7613, 2829, 602, 950, 1004, 3858, 547, 513, 1507, 2962, 789, 616, 811, 2693, 547, 3858, 547, 513, 3677, 2962, 693, 513, 2663, 942, 630, 7069, 619, 476, 3583, 280, 1040, 1635, 1620, 713, 649, 666, 849, 6451, 519, 5042, 4744, 28585, 3069, 602, 2829, 602, 649, 666, 3142, 938, 834, 3430, 6421, 538, 1899, 609, 938, 3527, 257, 630, 7069, 619, 476, 278, 1556, 1040, 1635, 2921, 606, 10182, 602, 649, 1616, 547, 1788, 267, 649, 666, 7369, 938, 2623, 563, 2026, 1454, 607, 938, 1378, 8456, 543, 1514, 3871, 3313, 938, 2623, 267, 519, 1895, 602, 649, 616, 538, 11851, 338, 1256, 811, 2604, 269, 31401, 676, 21125, 1306, 577, 9672, 602, 1004, 1745, 513, 991, 547, 14883, 630, 7069, 619, 476, 278, 1691, 1040, 634, 1895, 649, 616, 538, 21179, 919, 713, 991, 269, 1403, 649, 616, 538, 31261, 267, 519, 1895, 568, 1804, 267, 649, 23507, 519, 1895, 267, 543, 519, 1895, 568, 796, 29434, 748, 267, 621, 4679, 938, 10171, 540, 598, 14127, 630, 7069, 619, 476, 278, 1428, 1040, 901, 568, 875, 19157, 3180, 8083, 593, 795, 3753, 616, 5555, 2220, 26359, 883, 4657, 741, 8917, 269, 898, 568, 849, 875, 649, 616, 7479, 12184, 547, 1491, 606, 2962, 649, 949, 1745, 568, 4636, 563, 2171, 949, 849, 14883, 547, 513, 1895, 585, 519, 1482, 4128, 543, 29360, 513, 2318, 6364, 269, 589, 1353, 1895, 267, 5939, 5870, 267, 610, 15321, 3919, 949, 5401, 721, 547, 13789, 538, 513, 2318, 6073, 269, 8616, 267, 538, 930, 2516, 972, 568, 1100, 2489, 13618, 543, 15852, 5784, 616, 26793, 4611, 538, 834, 16766, 20459, 257, 630, 7069, 619, 476, 278, 2420, 1040, 7754, 1564, 267, 12545, 267, 543, 26639, 723, 1419, 1500, 3978, 1025, 1495, 619, 676, 13151, 17741, 547, 519, 7613, 563, 4407, 891, 1895, 12503, 949, 1267, 538, 513, 3983, 3375, 267, 789, 666, 849, 1831, 16160, 543, 936, 12741, 532, 269, 634, 6901, 540, 26304, 6660, 13559, 11609, 875, 2484, 1004, 941, 8348, 547, 979, 547, 14883, 630, 7069, 619, 476, 278, 1704, 1040, 4658, 786, 979, 3564, 3274, 598, 14127, 543, 547, 519, 1377, 540, 9420, 24150, 269, 901, 568, 2523, 3020, 952, 519, 1895, 3310, 814, 519, 8226, 540, 6392, 543, 519, 6392, 568, 2673, 693, 1688, 630, 7069, 619, 476, 278, 1704, 1916, 763, 3310, 540, 1004, 568, 849, 2938, 950, 789, 1860, 938, 3527, 971, 607, 538, 834, 25791, 1795, 10949, 257, 630, 7069, 619, 0, 1607, 568, 513, 6656, 602, 3568, 10388, 4845, 26784, 269, 12338, 519, 4845, 26784, 938, 543, 2285, 547, 1453, 547, 946, 1247, 1603, 741, 10388, 4845, 267, 610, 5037, 267, 4470, 593, 519, 3446, 1377, 269, 1411, 1223, 946, 891, 547, 1397, 875, 10388, 1603, 546, 454, 1607, 29480, 5675, 19671, 5750, 2337, 1053, 1174, 519, 3483, 267, 543, 875, 547, 22321, 606, 5304, 269, 4475, 267, 1053, 666, 946, 713, 19671, 5750, 547, 948, 3391, 1946, 543, 875, 547, 798, 10388, 1603, 563, 296, 899, 713, 1317, 621, 13352, 519, 6644, 4441, 1932, 269, 1603, 4441, 2307, 585, 606, 6644, 1603, 609, 4128, 1946, 711, 10388, 269, 1358, 1810, 1405, 723, 547, 2119, 547, 18609, 2576, 547, 1745, 519, 1482, 1259, 610, 1683, 519, 824, 1448, 540, 2070, 256, 0, 2419, 8522, 2443, 634, 13325, 29663, 18830, 30926, 862, 1742, 519, 22810, 540, 12070, 5471, 974, 585, 1818, 1686, 593, 8734, 269, 476, 1556, 9497, 12901, 328, 23337, 3183, 1876, 568, 9516, 282, 12070, 5471, 974, 781, 3573, 7333, 786, 979, 883, 1198, 5147, 476, 272, 2437, 5450, 549, 267, 8734, 269, 476, 1321, 1040, 634, 8498, 4604, 9516, 513, 2203, 2973, 11255, 2011, 3921, 12099, 602, 7152, 10100, 543, 9447, 513, 2312, 5048, 281, 634, 1072, 540, 12070, 5471, 974, 7264, 543, 741, 3885, 568, 513, 1283, 10862, 563, 1607, 2268, 568, 2386, 547, 4688, 2729, 563, 12552, 547, 1007, 1382, 267, 649, 917, 865, 1454, 811, 2221, 827, 519, 12178, 540, 2034, 8518, 8673, 267, 543, 519, 2963, 568, 865, 828, 532, 269, 3962, 1032, 2034, 8518, 8673, 19754, 811, 982, 476, 7871, 267, 1822, 1977, 1875, 23337, 758, 619, 945, 5884, 689, 2295, 2068, 267, 2860, 543, 5761, 2068, 269, 5822, 8518, 8673, 568, 519, 3791, 3056, 2014, 540, 28824, 2669, 538, 519, 2136, 2276, 269, 4107, 11145, 5944, 267, 2034, 8518, 8673, 568, 9286, 676, 519, 7025, 10466, 10837, 607, 513, 4147, 589, 15910, 4094, 267, 513, 7121, 3838, 676, 20702, 543, 28227, 269, 0, 763, 3798, 1043, 16819, 779, 29321, 616, 849, 1634, 607, 17580, 2220, 604, 1479, 339, 6177, 779, 9566, 630, 2464, 8042, 264, 630, 288, 518, 617, 1090, 639, 535, 1075, 13023, 27534, 264, 538, 519, 3140, 5638, 5815, 602, 621, 729, 1101, 4547, 547, 3624, 676, 519, 30721, 19092, 4044, 1807, 267, 2098, 26907, 1261, 269, 3571, 16939, 2319, 11402, 1426, 4859, 2042, 1282, 1010, 22116, 547, 14913, 5607, 269, 769, 971, 25896, 267, 789, 1185, 30122, 4362, 519, 3798, 1043, 16819, 779, 29321, 602, 729, 1336, 593, 519 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1450, 519, 1101, 610, 2034, 21932, 547, 1685, 7766, 10570, 4238, 593, 1239, 538, 519, 1482, 3965, 4087, 2232, 282, 543, 454, 268, 3850, 606, 5106, 267, 1282, 519, 10570, 5106, 676, 519, 1101, 16267, 267, 676, 519, 2034, 16267, 593, 1239, 6740, 693, 513, 1114, 3965, 4087, 2232, 538, 519, 1482, 3965, 4087, 563, 1428, 269, 634, 1505, 540, 3409, 476, 1691, 267, 2417, 16030, 1427, 3931, 3105, 10570, 4238, 1991, 547, 26587, 9562, 540, 519, 3965, 4087, 2232, 547, 519, 1101, 16267, 563, 1626, 269, 634, 1505, 540, 3409, 476, 1691, 13296, 26587, 9562, 540, 519, 3965, 4087, 2232, 547, 519, 1101, 16267, 13408, 26587, 9562, 540, 606, 2232, 2404, 609, 519, 1224, 267, 12189, 267, 543, 2328, 4238, 547, 519, 1101, 16267, 563, 1704, 269, 634, 1505, 540, 3409, 476, 1691, 267, 2417, 16030, 912, 268, 15222, 1944, 519, 1224, 267, 12189, 267, 543, 2328, 4238, 1996, 1991, 4238, 282, 543, 454, 268, 759, 6326, 2200, 540, 4559, 2404, 609, 7900, 519, 1224, 267, 12189, 267, 543, 2328, 4238, 676, 2348, 519, 4559, 2347, 533, 2056, 4238, 563, 1240, 269, 589, 31110, 19485, 267, 16030, 912, 268, 513, 1239, 1569, 1852, 630, 291, 3722, 264, 1770, 547, 1852, 1569, 547, 3965, 3248, 268, 513, 3965, 19280, 17280, 630, 300, 15477, 264, 13745, 547, 519, 667, 3722, 1770, 547, 1931, 4452, 4238, 609, 2463, 547, 4558, 4238, 282, 543, 454, 268, 513, 26409, 543, 2232, 8144, 630, 6347, 2969, 264, 1770, 13745, 547, 519, 667, 3722, 1770, 543, 547, 519, 631, 15477, 547, 14377, 1063, 21461, 9607, 543, 3965, 9607, 267, 13296, 952, 519, 14408, 2969, 1770, 15920, 513, 4712, 5365, 547, 519, 667, 3722, 267, 519, 667, 3722, 8060, 2773, 540, 513, 4452, 5106, 547, 4452, 1239, 689, 513, 3965, 2232, 547, 513, 21461, 2232, 676, 17527, 824, 4452, 4238, 547, 519, 3965, 2232, 543, 519, 631, 15477, 7161, 4558, 4238, 547, 519, 3965, 2232, 267, 519, 667, 3722, 7900, 519, 4452, 5106, 543, 513, 4611, 4558, 5106, 689, 519, 21461, 2232, 547, 519, 3965, 2232, 538, 606, 10570, 6073, 1759, 593, 1239, 25127, 267, 519, 667, 3722, 5827, 547, 1450, 1776, 10570, 5106, 267, 1282, 519, 10570, 4452, 543, 4558, 4238, 267, 593, 1239, 6740, 693, 513, 1114, 3965, 2232, 538, 519, 3965, 563, 866, 269, 634, 31110, 19485, 540, 3409, 476, 1240, 267, 2417, 16030, 513, 2985, 4413, 1688, 2401, 630, 15014, 295, 264, 13745, 547, 519, 667, 3722, 1770, 267, 519, 631, 15477, 267, 543, 519, 14408, 2969, 1770, 267, 13296, 519, 6751, 295, 9696, 10943, 1080, 538, 519, 4452, 610, 4611, 4558, 4238, 267, 519, 6751, 295, 1770, 11488, 513, 4199, 15222, 1436, 5365, 547, 519, 14408, 2969, 1770, 952, 533, 2056, 8852, 540, 519, 6751, 295, 1770, 616, 6192, 267, 519, 14408, 2969, 1770, 11488, 519, 4712, 5365, 952, 621, 11392, 519, 4199, 15222, 1436, 5365, 563, 736, 269, 634, 31110, 19485, 540, 3409, 476, 1240, 13296, 513, 12189, 5106, 568, 5340, 593, 519, 1239, 538, 519, 21461, 2232, 543, 13296, 519, 4452, 267, 12189, 267, 543, 4611, 4558, 4238, 616, 5340, 538, 606, 10570, 6073, 563, 2641, 269, 634, 31110, 19485, 540, 3409, 476, 1240, 13296, 519, 4452, 5106, 543, 519, 17808, 824, 4452, 4238, 616, 2404, 609, 1114, 16060, 540, 519, 31110, 19485, 563, 2420, 269, 589, 2780, 1062, 267, 16030, 912, 268, 513, 1101, 31110, 19485, 13745, 547, 513, 3965, 3248, 268, 513, 2034, 31110, 19485, 13745, 547, 519, 1101, 31110, 19485, 267, 519, 2034, 31110, 19485, 1519, 912, 268, 513, 1239, 1569, 1852, 630, 291, 3722, 264, 1770, 547, 1852, 1569, 547, 519, 3965, 676, 519, 1101, 610, 2034, 31110, 25600, 3248, 268, 513, 3965, 19280, 17280, 630, 300, 15477, 264, 13745, 547, 519, 667, 3722, 1770, 547, 1931, 4452, 4238, 609, 2463, 547, 4558, 4238, 282, 543, 454, 268, 513, 26409, 543, 2232, 8144, 630, 6347, 2969, 264, 1770, 13745, 547, 519, 667, 3722, 1770, 543, 547, 519, 631, 15477, 547, 14377, 1063, 21461, 9607, 543, 3965, 9607, 267, 13296, 952, 519, 14408, 2969, 1770, 15920, 513, 4712, 5365, 547, 519, 667, 3722, 1770, 267, 519, 667, 3722, 1770, 8060, 2773, 540, 513, 4452, 5106, 676, 519, 2034, 31110, 19485, 547, 4452, 1239, 689, 513, 3965, 2232, 547, 513, 21461, 2232, 676, 17527, 824, 4452, 4238, 547, 519, 3965, 2232, 676, 519, 1101, 31110, 19485, 543, 519, 631, 15477, 7161, 4558, 4238, 547, 519, 3965, 2232, 676, 519, 1101, 31110, 19485, 267, 519, 667, 3722, 1770, 7900, 519, 4452, 5106, 543, 513, 4611, 4558, 5106, 689, 519, 21461, 2232, 547, 519, 3965, 2232, 538, 606, 10570, 6073, 1759, 593, 1239, 25127, 563, 2537, 269, 634, 2780, 1062, 540, 3409, 476, 2420, 13296, 519, 1101, 543, 2034, 31110, 25600, 616, 4092, 593, 513, 1482, 5884, 563, 2190, 269, 634, 2780, 1062, 540, 3409, 476, 2420, 13296, 519, 4452, 5106, 540, 519, 2034, 31110, 19485, 568, 2404, 609, 513, 1101, 8142, 540, 519, 2034, 31110, 19485, 267, 519, 667, 3722, 1770, 2417, 7303, 2773, 540, 513, 4452, 5106, 540, 519, 1482, 3965, 2232, 2404, 609, 513, 2034, 8142, 540, 519, 2034, 31110, 19485, 952, 519, 4452, 5106, 2404, 609, 519, 1101, 8142, 568, 1373, 5340, 563, 1839, 269, 589, 3684, 22345, 762, 5420, 2348, 6740, 972, 517, 5528, 267, 799, 950, 13401, 676, 513, 1305, 540, 31110, 25600, 267, 2014, 519, 1305, 540, 31110, 25600, 547, 1685, 519, 1739, 912, 268, 10536, 9562, 540, 513, 3965, 4087, 2232, 2348, 1239, 6740, 972, 514, 3248, 268, 1685, 606, 10570, 5106, 9859, 2509, 519, 1239, 1210, 1239, 25127, 13296, 1239, 25127, 13408, 1179, 6819, 602, 2953, 1239, 568, 1459, 538, 519, 3965, 4087, 2232, 3248, 268, 2061, 824, 4238, 593, 519, 1239, 1247, 519, 10570, 5106, 568, 5340, 282, 543, 454, 268, 5305, 9562, 540, 519, 3965, 4087, 2232, 1310, 7900, 519, 10570, 5106, 282, 543, 454, 268, 1450, 1776, 5106, 267, 1282, 519, 10570, 5106, 267, 593, 1239, 6740, 693, 513, 1114, 3965, 4087, 2232, 538, 519, 1482, 3965, 4087, 563, 2918, 269, 634, 3684, 22345, 762, 5420, 540, 3409, 476, 1839, 13296, 519, 10570, 5106, 13408, 513, 1224, 5106, 267, 12189, 5106, 267, 543, 2328, 5106, 563, 2767, 269, 634, 3684, 22345, 762, 5420, 540, 3409, 476, 1839, 13296, 2773, 540, 519, 10570, 5106, 9859, 2509, 519, 1239, 14687, 547, 513, 2773, 2404, 609, 513, 1101, 8142, 540, 835, 540, 519, 31110, 25600, 543, 13296, 6604, 540, 824, 4238, 593, 519, 1239, 1247, 519, 10570, 5106, 568, 5340, 14687, 547, 513, 6604, 540, 513, 2773, 2404, 609, 513, 2034, 8142, 540, 519, 835, 31110, 19485, 563, 293, 6150, 281, 5463, 476, 3066, 267, 476, 1960, 280, 454, 14630, 540, 30171, 281, 4455, 476, 280, 267, 476, 1220, 273, 454, 10112, 793, 2465, 281, 27311, 15278, 630, 306, 9017, 27262, 267, 11404, 994, 1103, 1203, 832, 281, 19958, 631, 269, 25844, 6756, 630, 6826, 11232, 2023, 267, 10758, 1070, 4498, 880, 27958, 630, 21545, 1633, 267, 10758, 1070, 645, 1370, 661, 269, 700, 1550, 630, 295, 1571, 4011, 334, 267, 10758, 1070, 7812, 667, 269, 772, 17980, 630, 21545, 1633, 267, 10758, 1070, 11809, 784, 3539, 18681, 630, 290, 1941, 601, 3780, 267, 10758, 994, 27650, 1401, 3133, 518, 281, 645, 269, 6276, 3212, 1731, 926, 454, 16920, 528, 2284, 267, 32652, 610, 4521, 674, 3305, 281, 29965, 569, 267, 590, 758, 565, 4752, 267, 13177, 1299, 2098, 2378, 2006, 700, 10861, 454, 32101, 7089, 281, 476, 6021, 270, 5325, 275, 267, 277, 7176, 0, 268, 898, 4221, 267, 849, 1572, 929, 584, 7978, 267, 4122, 4386, 1813, 547, 2960, 4713, 267, 543, 949, 1860, 3207, 610, 2298, 540, 1272, 952, 519, 2783, 568, 4049, 269, 17848, 539, 538, 519, 8229, 30804, 267, 21422, 782, 936, 519, 1560, 568, 1572, 20902, 929, 584, 7978, 563, 10144, 849, 2307, 454, 1432, 1281, 621, 1611, 950, 707, 2960, 621, 2583, 782, 936, 888, 1432, 1281, 621, 1611, 952, 707, 1560, 568, 28349, 888, 1432, 3123, 21422, 782, 936, 519, 1560, 888, 303, 23635, 281, 898, 2306, 707, 1560, 936, 335, 28558, 2960, 2281, 267, 799, 18061, 909, 538, 28349, 267, 28332, 15649, 593, 519, 2960, 779, 2627, 269, 901, 568, 513, 1267, 540, 606, 936, 5562, 4761, 1062, 269, 901, 568, 513, 1267, 540, 606, 4429, 273, 2395, 3516, 5788, 16164, 17148, 910, 16164, 2175, 971, 607, 26253, 610, 3141, 14315, 666, 2014, 519, 1560, 547, 1831, 28349, 782, 936, 607, 519, 1560, 23465, 547, 519, 2783, 269, 13262, 610, 4160, 949, 12954, 971, 2175, 267, 3056, 547, 21422, 602, 568, 711, 22297, 547, 513, 1880, 1858, 269, 32035, 910, 645, 17424, 610, 16507, 5563, 593, 519, 2960, 666, 2014, 21422, 547, 2049, 563, 2005, 16408, 2960, 568, 606, 13943, 267, 8886, 908, 14815, 602, 2306, 596, 1616, 547, 15072, 269, 4746, 1634, 607, 929, 584, 7978, 630, 2889, 334, 268, 6020, 292, 2389, 639, 1070, 28349, 2960, 666, 581, 3361, 610, 7707, 2989, 676, 3819, 2960, 269, 898, 781, 1455, 538, 4587, 4079, 267, 607, 2960, 11148, 547, 1831, 5671, 518, 609, 2085, 6185, 788, 2056, 593, 519, 2014, 540, 707, 28349, 2960, 267, 621, 949, 2408, 3339, 267, 2699, 267, 11315, 610, 536, 17056, 269, 15901, 730, 31153, 666, 2014, 6659, 5394, 2127, 540, 2960, 602, 1522, 18053, 610, 1831, 7783, 269, 6624, 1004, 1265, 8323, 609, 1582, 13282, 3800, 971, 607, 5848, 584, 1944, 3232, 31972, 2791, 949, 723, 28349, 2960, 936, 1978, 1507, 2127, 267, 971, 607, 593, 606, 6186, 610, 1850, 267, 610, 936, 707, 2898, 1560, 269, 898, 16408, 2960, 666, 2049, 1510, 1022, 824, 18476, 2242, 593, 519, 2960, 269, 2107, 621, 949, 581, 2404, 609, 281, 476, 272, 269, 4414, 1145, 476, 273, 269, 645, 7927, 267, 9634, 610, 28338, 476, 274, 269, 16959, 267, 29618, 2960, 476, 275, 269, 2274, 1430, 344, 610, 1085, 3315, 2960, 15919, 621, 577, 1465, 16569, 513, 1279, 942, 543, 666, 581, 7920, 269, 1306, 596, 6299, 610, 15072, 519, 1858, 267, 621, 4991, 621, 577, 1512, 269, 1656, 519, 811, 621, 621, 2583, 267, 519, 811, 596, 15072, 269, 27915, 713, 621, 577, 1606, 13062, 2255, 4783, 666, 581, 2352, 563, 27246, 540, 28349, 2960, 1331, 281, 476, 272, 269, 16164, 2175, 269, 3509, 2960, 2175, 621, 577, 267, 1519, 3819, 2960, 630, 343, 518, 2670, 1070, 26253, 630, 323, 12938, 4345, 1070, 27728, 267, 1085, 28320, 267, 17236, 267, 26711, 267, 5521, 17486, 543, 32105, 269, 476, 273, 269, 18378, 3676, 269, 898, 16408, 2960, 666, 581, 513, 10835, 540, 606, 5817, 4576, 269, 1452, 1331, 6797, 2068, 267, 8459, 5821, 267, 4401, 10638, 17350, 267, 11178, 2042, 543, 1978, 11871, 267, 1519, 2789, 24869, 5448, 543, 28623, 269, 476, 274, 269, 715, 2925, 4713, 269, 17148, 602, 1860, 519, 8401, 1062, 2443, 971, 607, 2789, 521, 743, 3266, 2483, 2005, 16408, 2960, 602, 16569, 811, 982, 3670, 4374, 630, 577, 3055, 929, 584, 7978, 264, 666, 1860, 519, 2298, 540, 707, 1272, 267, 585, 1383, 267, 676, 14443, 532, 707, 3207, 543, 4929, 4160, 610, 4965, 269, 1160, 14075, 539, 21422, 543, 31153, 949, 2333, 519, 8515, 540, 519, 621, 577, 267, 7654, 3056, 547, 2960, 5945, 267, 3968, 543, 1085, 18732, 563, 22261, 476, 736, 267, 476, 1001, 279, 5788, 3509, 1114, 3676, 267, 4713, 543, 2175, 666, 1291, 547, 7646, 547, 4049, 21422, 269, 898, 4221, 782, 936, 666, 581, 513, 1129, 540, 3819, 2960, 610, 16698, 689, 7802, 610, 28052, 550, 269, 898, 4221, 782, 936, 666, 849, 581, 3361, 676, 513, 10194, 3968, 267, 1085, 28320, 267, 610, 606, 13027, 5114, 547, 513, 6646, 269, 769, 930, 2665, 267, 21422, 782, 936, 666, 581, 1813, 547, 513, 1272, 18446, 13027, 5114, 2404, 609, 7411, 7244, 1572, 606, 20942, 9471, 563, 268, 1548, 3123, 21422, 782, 936, 519, 1560, 1215, 547, 1521, 621, 286, 910, 3220, 269, 17610, 330, 3873, 570, 12685, 926, 344, 19834, 2593, 454, 268, 1548, 3123, 21422, 782, 936, 1510, 513, 16420, 3220, 681, 553, 5984, 667, 1460, 640, 19834, 2593, 454, 268, 1548, 3123, 21422, 782, 936, 1510, 513, 16420, 286, 910, 3220, 269, 681, 553, 5984, 667, 1460, 640, 19834, 2593, 454, 268, 1215, 547, 14867, 28349, 2960, 344, 19834, 2593, 454, 13971, 476, 2767, 267, 476, 1708, 271, 5788, 1411, 949, 581, 7680, 513, 2960, 5829, 3390, 899, 27150, 610, 26253, 267, 606, 13027, 5114, 689, 513, 1978, 1426, 610, 2030, 267, 610 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3698, 2698, 318, 24593, 18384, 4433, 272, 281, 1193, 267, 521, 273, 281, 1193, 267, 669, 281, 1193, 264, 9847, 703, 281, 3097, 825, 5727, 32510, 482, 32510, 506, 10563, 350, 364, 422, 365, 368, 281, 7003, 263, 577, 264, 2652, 476, 272, 3097, 8931, 825, 521, 272, 422, 367, 376, 521, 273, 29306, 494, 424, 482, 506, 669, 32174, 478, 14091, 480, 502, 424, 502, 357, 29030, 504, 509, 424, 486, 502, 423, 354, 376, 14091, 364, 502, 425, 503, 502, 17432, 506, 30319, 563, 8931, 825, 21188, 2698, 318, 24593, 18384, 3488, 10233, 3299, 1412, 344, 3641, 3299, 1412, 331, 5073, 825, 476, 274, 454, 825, 21188, 2698, 318, 24593, 18384, 3488, 1042, 3299, 1412, 19990, 3299, 1412, 331, 17210, 825, 21188, 2698, 318, 24593, 18384, 3488, 13582, 3299, 1412, 20580, 921, 3299, 1412, 321, 17210, 825, 8173, 0, 5035, 3883, 912, 825, 5727, 32510, 506, 423, 359, 358, 422, 367, 376, 10563, 510, 478, 28990, 494, 14091, 359, 358, 423, 350, 507, 267, 10563, 370, 506, 425, 490, 494, 424, 480, 361, 267, 9768, 267, 21844, 364, 478, 422, 366, 358, 14602, 482, 29030, 493, 361, 17432, 357, 17432, 502, 32629, 498, 10563, 365, 483, 10563, 510, 499, 423, 367, 368, 454, 825, 29185, 825, 1219, 6449, 8181, 9191, 1345, 267, 2140, 267, 4589, 267, 17404, 267, 568, 16818, 267, 3902, 2187, 1038, 5727, 630, 9349, 267, 1193, 267, 1592, 540, 1193, 267, 1193, 267, 1193, 267, 1297, 264, 9847, 7183, 13911, 692, 1038, 10563, 510, 506, 423, 359, 358, 27338, 2140, 27338, 422, 367, 510, 267, 10563, 508, 495, 424, 482, 365, 17432, 506, 10563, 510, 478, 28990, 494, 32629, 498, 4589, 422, 367, 510, 267, 10563, 370, 506, 425, 490, 494, 424, 480, 361, 32629, 498, 17404, 422, 367, 510, 267, 3097, 1038, 568, 16818, 14602, 478, 9768, 27338, 422, 367, 510, 267, 21844, 364, 478, 422, 366, 358, 14602, 478, 3902, 14091, 489, 361, 423, 509, 361, 14602, 372, 10563, 481, 486, 10563, 365, 483, 14602, 482, 10563, 481, 507, 424, 482, 365, 17432, 506, 30319, 780, 1038, 21188, 9226, 318, 1504, 815, 3883, 263, 26444, 3546, 1412, 303, 24411, 14691, 3299, 26444, 3546, 18358, 290, 2086, 10428, 3299, 1412, 294, 1845, 3299, 1412, 12507, 1729, 14765, 28710, 26444, 3546, 1412, 303, 4048, 15122, 7734, 3559, 325, 3299, 26444, 3546, 1412, 7818, 268, 272, 268, 27151, 2004, 273, 277, 268, 279, 268, 279, 3299, 26444, 3546, 476, 1839, 269, 271, 994, 1038, 21188, 9226, 318, 1504, 26644, 454, 1038, 1412, 303, 24411, 14691, 7055, 1038, 21188, 9226, 318, 1504, 269, 2246, 4243, 454, 1038, 18358, 290, 2086, 10428, 3299, 1412, 294, 1845, 3299, 1412, 12507, 1729, 14765, 23300, 1038, 21188, 9226, 318, 1504, 4877, 889, 10091, 454, 1038, 1412, 303, 4048, 15122, 7734, 3559, 325, 7055, 1038, 21188, 9226, 318, 1504, 18994, 16818, 454, 1038, 1412, 7818, 268, 272, 268, 27151, 2004, 273, 277, 268, 279, 268, 279, 7055, 1038, 21188, 9226, 318, 1504, 269, 23748, 454, 1038, 476, 1839, 269, 271, 454, 1038, 29185, 1038, 1582, 26644, 815, 2140, 454, 1038, 1948, 29030, 502, 372, 424, 370, 506, 28990, 494, 32174, 478, 14091, 480, 502, 424, 353, 495, 29306, 494, 14091, 355, 361, 424, 488, 353, 425, 488, 372, 423, 354, 376, 10563, 486, 502, 32510, 499, 17432, 510, 21844, 366, 377, 424, 504, 364, 423, 354, 376, 14091, 490, 478, 423, 373, 482, 17432, 368, 424, 482, 506, 10563, 510, 478, 28990, 494, 14091, 355, 361, 424, 488, 353, 425, 488, 372, 423, 354, 376, 14091, 367, 369, 424, 480, 361, 17432, 506, 30319, 563, 1038, 1582, 269, 2246, 4243, 815, 4589, 11468, 2639, 1038, 1582, 4877, 889, 10091, 815, 17404, 454, 1038, 1582, 269, 25835, 815, 568, 16818, 454, 1038, 1582, 269, 23748, 815, 3902, 692, 825, 1219, 1003, 318, 2246, 4243, 4311, 2187, 1038, 5727, 630, 9349, 264, 9847, 703, 692, 1038, 10563, 507, 368, 10563, 365, 483, 14602, 502, 10563, 510, 478, 28990, 494, 424, 486, 502, 423, 354, 376, 14091, 364, 502, 425, 503, 502, 17432, 506, 30319, 269, 8528, 1038, 21188, 9226, 318, 1504, 815, 3883, 263, 26444, 3546, 1412, 303, 24411, 14691, 3299, 26444, 3546, 18358, 290, 2086, 10428, 3299, 1412, 294, 1845, 3299, 1412, 12507, 1729, 14765, 28710, 26444, 3546, 1412, 303, 4048, 15122, 7734, 3559, 325, 3299, 26444, 3546, 1412, 7818, 268, 272, 268, 27151, 2004, 273, 277, 268, 279, 268, 279, 3299, 26444, 3546, 476, 1839, 269, 271, 994, 1038, 21188, 7510, 1504, 8542, 636, 318, 2246, 4243, 4590, 1038, 476, 274, 454, 1038, 29185, 1038, 2132, 7003, 4311, 269, 2246, 4243, 2020, 825, 1219, 6449, 1598, 9191, 1345, 2187, 1038, 5727, 630, 9349, 264, 9847, 1193, 692, 1038, 10563, 507, 368, 10563, 365, 483, 29306, 494, 14091, 490, 478, 17432, 506, 10563, 507, 377, 422, 372, 364, 29030, 492, 372, 17432, 506, 29030, 495, 506, 425, 502, 482, 14602, 482, 14091, 364, 502, 425, 503, 502, 17432, 506, 30319, 563, 1038, 29185, 1038, 2132, 5727, 17138, 281, 2715, 271, 8679, 288, 18308, 281, 2715, 272, 8679, 21812, 281, 2715, 273, 8679, 25835, 281, 2715, 274, 8679, 25820, 281, 20270, 275, 348, 3269, 2668, 8971, 18692, 825, 1582, 26644, 267, 22207, 29717, 21860, 4311, 269, 2246, 4243, 1070, 1582, 4877, 889, 10091, 267, 1582, 269, 25835, 2676, 825, 1582, 269, 23748, 2020, 604, 6449, 4067, 1029, 2652, 21507, 10852, 1029, 262, 1384, 825, 9226, 318, 1504, 815, 3883, 18692, 1038, 1412, 303, 24411, 14691, 22779, 1038, 18358, 290, 2086, 10428, 3299, 1412, 294, 1845, 3299, 1412, 12507, 1729, 14765, 11172, 2676, 1038, 1412, 303, 4048, 15122, 7734, 3559, 325, 22779, 1038, 1412, 7818, 268, 272, 268, 27151, 2004, 273, 277, 268, 279, 268, 279, 22779, 1038, 476, 1839, 269, 271, 2020, 825, 6668, 318, 1504, 815, 3883, 18692, 1038, 834, 6124, 5358, 1067, 781, 27834, 15015, 20350, 1038, 18358, 290, 6621, 11172, 2676, 1038, 1412, 303, 4048, 15122, 7734, 3559, 325, 22779, 1038, 1412, 7818, 268, 272, 268, 280, 4097, 3374, 268, 6924, 272, 268, 275, 22779, 1038, 476, 866, 269, 271, 2020, 825, 1820, 3488, 346, 271, 348, 729, 2854, 676, 2715, 272, 348, 4589, 543, 3790, 20270, 273, 348, 8339, 8971, 18692, 1038, 9226, 318, 1504, 26644, 267, 9226, 318, 1504, 8542, 636, 318, 2246, 4243, 19572, 9226, 318, 1504, 269, 23748, 11723, 825, 1820, 3488, 346, 271, 348, 729, 2854, 676, 2715, 272, 348, 4589, 543, 3790, 20270, 273, 348, 8339, 8971, 18692, 1038, 6668, 318, 1504, 26644, 267, 6668, 318, 1504, 8542, 636, 318, 2246, 4243, 19572, 6668, 318, 1504, 269, 23748, 4917, 0, 5228, 17511, 1104, 7102, 692, 3698, 5276, 318, 14142, 10857, 560, 281, 1592, 267, 1871, 281, 7102, 264, 9847, 703, 912, 825, 5727, 331, 560, 29306, 494, 424, 482, 506, 1871, 32174, 478, 10563, 366, 502, 14602, 490, 424, 506, 376, 423, 350, 506, 14091, 480, 502, 424, 502, 353, 32629, 498, 10563, 507, 372, 423, 491, 365, 424, 488, 353, 423, 354, 376, 14091, 364, 502, 425, 503, 502, 17432, 502, 422, 365, 364, 423, 480, 502, 32102, 29306, 494, 1871, 32174, 478, 10563, 501, 484, 424, 506, 376, 423, 358, 368, 3097, 825, 910, 272, 14602, 482, 14091, 364, 502, 425, 503, 502, 17432, 506, 30319, 269, 8528, 825, 21188, 5276, 318, 14142, 8443, 273, 267, 476, 276, 267, 476, 272, 267, 910, 274, 3910, 476, 276, 994, 825, 476, 272, 454, 825, 21188, 5276, 318, 14142, 8443, 273, 267, 476, 275, 267, 476, 273, 3910, 476, 273, 994, 825, 476, 271, 454, 825, 21188, 5276, 318, 14142, 8443, 273, 267, 476, 276, 267, 476, 272, 267, 910, 274, 3910, 476, 275, 994, 825, 910, 272, 454, 825, 21188, 5276, 318, 14142, 8443, 3910, 476, 276, 994, 825, 910, 272, 454, 825, 29185, 825, 1775, 815, 476, 271, 476, 1948, 32102, 14091, 480, 368, 29306, 494, 424, 482, 506, 21844, 366, 478, 424, 480, 361, 17432, 510, 14091, 489, 353, 14602, 490, 476, 17432, 511, 423, 359, 358, 14602, 502, 10563, 507, 372, 423, 491, 365, 424, 488, 353, 8528, 825, 1948, 32102, 14091, 479, 507, 29306, 494, 14091, 493, 482, 21498, 361, 17432, 502, 422, 365, 364, 423, 480, 502, 1871, 423, 354, 376, 10563, 364, 378, 14602, 482, 14091, 499, 490, 422, 373, 490, 424, 356, 478, 14091, 364, 502, 423, 367, 369, 17432, 506, 30319, 563, 825, 1247, 1775, 11203, 7003, 10857, 560, 264, 543, 32102, 5157, 316, 11203, 1871, 912, 1038, 1775, 815, 1775, 1341, 476, 272, 692, 825, 1948, 14091, 355, 361, 424, 488, 353, 425, 488, 372, 14091, 479, 507, 422, 373, 490, 424, 356, 478, 21844, 364, 498, 424, 506, 376, 423, 358, 368, 1871, 423, 354, 376, 10563, 364, 378, 424, 356, 478, 14091, 359, 375, 17432, 506, 21844, 366, 481, 27338, 30319, 563, 825, 952, 1775, 2652, 7003, 10857, 560, 2187, 1038, 2132, 910, 272, 454, 825, 3116, 912, 1038, 2132, 1775, 454, 0, 5035, 5029, 1143, 912, 825, 5727, 424, 350, 364, 424, 486, 502, 10563, 505, 483, 423, 491, 358, 27338, 29306, 494, 10563, 480, 361, 32629, 498, 10563, 506, 510, 422, 372, 364, 424, 366, 368, 27969, 692, 825, 1219, 6449, 8181, 9191, 1345, 267, 2012, 267, 1535, 267, 586, 2187, 1038, 5727, 630, 16391, 1143, 267, 1193, 267, 703, 267, 703, 264, 9847, 7183, 13911, 692, 1038, 10563, 350, 364, 424, 486, 502, 10563, 505, 483, 423, 491, 358, 27338, 630, 343, 11971, 264, 10563, 506, 482, 424, 373, 502, 29306, 494, 10563, 480, 361, 32629, 498, 10563, 506, 510, 422, 372, 364, 424, 366, 368, 27969, 692, 1038, 1582, 20508, 815, 2012, 454, 1038, 1582, 11859, 815, 1535, 454, 1038, 1582, 13885, 815, 586, 692, 825, 1219, 6449, 1598, 9191, 1345, 2187, 1038, 5727, 630, 16391, 1143, 264, 9847, 1193, 692, 1038, 10563, 506, 510, 422, 372, 364, 424, 366, 368, 14602, 502, 14091, 361, 372, 28990, 494, 29306, 368, 29030, 495, 506, 425, 502, 482, 14602, 482, 14091, 364, 502, 425, 503, 502, 17432, 506, 30319, 563, 1038, 29185, 1038, 2132, 1412, 20719, 271, 9574, 1496, 346, 272, 9574, 2715, 273, 348, 8079, 8339, 8971, 4311, 20508, 267, 1582, 11859, 267, 1582, 13885, 2020, 825, 1219, 666, 21223, 520, 4311, 267, 1426, 2187, 1038, 5727, 630, 16391, 1143, 267, 1193, 264, 9847, 536, 944, 692, 1038, 10563, 506, 510, 422, 372, 364, 424, 366, 368, 32174, 478, 10563, 510, 506, 422, 367, 369, 423, 494, 506, 10563, 507, 490, 424, 489, 507, 14602, 482, 14091, 357, 373, 14602, 482, 10563, 486, 502, 10563, 508, 486, 32629, 498, 424, 356, 478, 10563, 499, 490, 423, 510, 353, 424, 353, 478, 30319, 563, 1038, 10563, 507, 376, 423, 364, 502, 32510, 479, 14602, 372, 10563, 506, 510, 422, 372, 364, 424, 366, 368, 32174, 478, 14091, 361, 368, 29306, 485, 14602, 482, 14091, 357, 373, 32629, 498, 424, 356, 478, 10563, 499, 490, 10563, 486, 502, 10563, 501, 484, 424, 506, 376, 423, 363, 478, 423, 350, 506, 454, 1038, 10563, 507, 368, 476, 17432, 357, 424, 486, 502, 32629, 498, 476, 17432, 511, 424, 481, 479, 8771, 423, 354, 376, 14091, 364, 502, 425, 503, 502, 17432, 506, 30319, 563, 1038, 29185, 1038, 2132, 8771, 692, 825, 1219, 1847, 4311, 2187, 1038, 5727, 630, 16391, 1143, 264, 9847, 7183, 13911, 692, 1038, 10563, 506, 510, 422, 372, 364, 424, 366, 368, 32174, 478, 10563, 507, 368, 423, 493, 503, 17432, 510, 10563, 486, 502, 10563, 508, 486, 32629, 498, 424, 356, 478, 29030, 503, 499, 14602, 372, 17432, 506, 30319, 563, 1038, 10563, 507, 376, 423, 364, 502, 32510, 479, 14602, 372, 10563, 506, 510, 422, 372, 364, 424, 366, 368, 32174, 478, 10563, 500, 376, 423, 356, 486, 423, 480, 502, 14091, 373, 357, 423, 355, 361, 267, 10563, 500, 376, 423, 356, 486, 423, 480, 502, 14091, 358, 478, 423, 355, 361, 10563, 507, 368, 423, 493, 503, 17432, 510, 10563, 486, 502, 10563, 508, 486, 32629, 498, 424, 356, 478, 454, 1038, 10563, 499, 490, 10563, 486, 502, 10563, 501, 484, 424, 506, 376, 423, 363, 478, 423, 350, 506, 10563, 507, 368, 476, 17432, 357, 424, 486, 502, 32629, 498, 10563, 499, 482, 423, 361, 368, 422, 366, 481, 423, 493, 482, 476, 17432, 502, 424, 356, 478, 10563, 499, 488, 424, 488, 369, 21498, 486, 30319, 563, 1038, 29185, 1038, 2132, 454, 0, 18411, 14035, 504, 14756, 356, 19867, 379, 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 ]
[ 568, 1767, 547, 581, 3001, 538, 20078, 559, 710, 541, 5163, 952, 12599, 2059, 17208, 2619, 7536, 1103, 6439, 559, 710, 541, 5163, 513, 9325, 2141, 7575, 2059, 2786, 2619, 1247, 538, 2013, 540, 20078, 559, 710, 541, 5163, 519, 9325, 2141, 12599, 2059, 17208, 2619, 780, 30772, 267, 538, 6439, 559, 710, 541, 5163, 519, 6991, 540, 5536, 568, 7833, 1247, 538, 20078, 559, 710, 541, 5163, 9325, 6991, 2242, 693, 1169, 1448, 1813, 547, 1689, 538, 4287, 563, 305, 624, 9771, 3213, 15453, 3590, 912, 763, 1109, 5550, 9771, 11282, 1062, 1109, 4621, 1235, 540, 1079, 1483, 1297, 3515, 602, 12969, 693, 513, 1318, 5086, 269, 634, 8880, 1297, 1899, 568, 1572, 519, 1109, 343, 14289, 267, 543, 519, 7299, 1297, 1899, 568, 1572, 519, 1109, 344, 14289, 269, 1109, 2005, 568, 1031, 585, 519, 17431, 540, 1585, 476, 273, 291, 22762, 3740, 543, 1875, 268, 613, 2210, 3740, 5546, 780, 763, 5169, 540, 14328, 11282, 1062, 568, 5116, 693, 1448, 968, 271, 892, 538, 1312, 17887, 780, 763, 11282, 17887, 616, 1767, 547, 581, 1232, 537, 9482, 267, 952, 789, 6223, 1510, 1373, 4448, 780, 8201, 269, 272, 281, 25351, 9771, 630, 290, 691, 14198, 264, 11282, 1062, 609, 519, 5169, 693, 519, 8998, 540, 519, 2847, 5193, 4745, 780, 303, 3789, 21070, 1384, 8201, 476, 273, 281, 23586, 540, 8701, 10974, 883, 14328, 630, 290, 691, 14198, 264, 11282, 1062, 609, 519, 5169, 693, 519, 8998, 540, 519, 2847, 5193, 4745, 780, 6097, 547, 2628, 628, 698, 5387, 11532, 3248, 5804, 4137, 476, 273, 3248, 6523, 286, 284, 343, 337, 543, 5609, 286, 284, 29757, 3383, 1535, 284, 337, 6523, 286, 543, 586, 284, 3464, 514, 286, 3383, 2990, 6152, 3248, 337, 24210, 6523, 286, 328, 266, 903, 514, 286, 329, 630, 272, 264, 309, 601, 6290, 912, 11740, 280, 1015, 26605, 278, 4037, 20969, 271, 4200, 278, 3451, 10482, 280, 1691, 272, 286, 876, 286, 274, 4281, 279, 5379, 279, 6858, 4343, 276, 272, 518, 876, 518, 30525, 4281, 280, 15150, 13301, 275, 324, 286, 876, 324, 888, 8201, 476, 274, 281, 23586, 540, 8701, 10974, 883, 14328, 630, 290, 691, 14198, 264, 11282, 1062, 609, 519, 5169, 693, 519, 8998, 540, 519, 2847, 5193, 4745, 2059, 609, 1770, 10321, 780, 2026, 649, 917, 538, 8701, 10974, 6991, 3248, 341, 284, 556, 337, 266, 337, 286, 324, 286, 630, 273, 264, 5804, 4137, 476, 274, 3248, 518, 284, 6523, 286, 328, 266, 7562, 286, 16660, 286, 284, 910, 7562, 286, 328, 266, 6523, 286, 329, 21607, 1154, 538, 1657, 3830, 630, 273, 2187, 341, 284, 678, 6262, 657, 286, 328, 266, 7562, 286, 329, 11924, 337, 286, 8987, 7562, 286, 328, 266, 6523, 286, 329, 264, 3725, 268, 1551, 4474, 454, 341, 14352, 337, 6523, 286, 328, 910, 337, 286, 7562, 286, 328, 11924, 263, 3464, 514, 286, 329, 266, 337, 286, 6523, 286, 329, 264, 341, 14352, 337, 6523, 286, 268, 337, 286, 7562, 24047, 328, 1341, 263, 3464, 514, 286, 266, 337, 286, 6523, 24047, 10907, 5120, 566, 912, 2026, 649, 917, 538, 8701, 10974, 585, 10231, 3248, 320, 284, 337, 8573, 286, 273, 518, 266, 337, 286, 266, 273, 337, 286, 324, 286, 630, 274, 264, 2026, 649, 917, 689, 4137, 476, 274, 3248, 518, 284, 6523, 286, 328, 266, 7562, 286, 16660, 286, 284, 910, 7562, 286, 328, 266, 6523, 286, 329, 21607, 1154, 538, 519, 4834, 630, 274, 994, 320, 14352, 337, 8573, 286, 273, 7565, 6523, 286, 328, 266, 7562, 286, 329, 11924, 263, 337, 286, 266, 273, 337, 286, 7565, 268, 7562, 286, 328, 266, 6523, 286, 329, 264, 320, 14352, 337, 6523, 286, 328, 8573, 286, 273, 6523, 286, 328, 266, 3464, 514, 286, 329, 8573, 286, 273, 7562, 286, 329, 11924, 8987, 337, 286, 7562, 286, 328, 268, 273, 337, 286, 7562, 286, 328, 266, 337, 286, 6523, 286, 329, 266, 273, 337, 286, 6523, 286, 329, 264, 305, 792, 337, 4474, 3248, 320, 14352, 337, 6523, 286, 328, 8573, 286, 273, 6523, 286, 328, 8573, 286, 7562, 286, 328, 268, 273, 337, 286, 7562, 286, 328, 11924, 263, 3464, 514, 286, 329, 8573, 286, 273, 7562, 286, 329, 266, 337, 286, 6523, 286, 329, 266, 273, 337, 286, 6523, 286, 329, 264, 320, 14352, 337, 6523, 286, 268, 337, 286, 273, 6523, 286, 268, 337, 286, 7562, 286, 268, 273, 337, 286, 7562, 24047, 328, 23444, 3464, 514, 286, 268, 337, 286, 273, 7562, 286, 266, 337, 286, 6523, 286, 266, 273, 337, 286, 6523, 24047, 329, 300, 1725, 3363, 2986, 634, 19024, 21070, 454, 5804, 3830, 476, 272, 3248, 337, 24210, 6523, 286, 328, 266, 903, 514, 286, 329, 337, 284, 286, 263, 337, 6523, 24047, 273, 23444, 3464, 514, 24047, 273, 21607, 1154, 2418, 678, 284, 476, 275, 544, 543, 7790, 284, 4649, 4113, 337, 284, 286, 263, 275, 6523, 4649, 4113, 264, 273, 23444, 275, 7562, 4649, 4113, 264, 273, 337, 284, 286, 263, 276, 269, 2918, 11924, 263, 1015, 269, 10619, 264, 337, 284, 275, 544, 300, 1725, 3363, 2986, 634, 17726, 454, 5804, 3830, 476, 273, 3248, 341, 284, 286, 263, 337, 6523, 286, 268, 337, 286, 7562, 24047, 273, 1341, 263, 3464, 514, 286, 266, 337, 286, 6523, 24047, 273, 21607, 1154, 2418, 815, 476, 4649, 23263, 267, 7790, 815, 476, 275, 544, 267, 7790, 284, 476, 276, 2234, 4882, 543, 7790, 286, 815, 476, 1015, 544, 1315, 338, 454, 341, 284, 286, 263, 1015, 265, 6523, 4649, 4113, 268, 275, 265, 276, 265, 7562, 4649, 4113, 264, 273, 1341, 263, 1015, 265, 7562, 4649, 4113, 266, 275, 265, 276, 265, 6523, 4649, 4113, 264, 273, 341, 284, 286, 263, 13647, 269, 2767, 264, 1341, 263, 4343, 277, 269, 6872, 277, 264, 341, 284, 286, 263, 4335, 264, 341, 284, 2420, 269, 3607, 544, 4882, 300, 1725, 3363, 2986, 634, 24665, 566, 912, 5804, 3830, 476, 274, 3248, 320, 284, 7790, 263, 337, 6523, 286, 268, 337, 286, 273, 6523, 286, 268, 337, 286, 7562, 286, 268, 273, 337, 286, 7562, 24047, 273, 266, 630, 3464, 514, 286, 268, 337, 286, 273, 7562, 286, 266, 337, 286, 6523, 286, 266, 273, 337, 286, 6523, 24047, 273, 21607, 1154, 2418, 912, 286, 815, 476, 4649, 23263, 267, 7790, 815, 476, 275, 544, 267, 7790, 284, 476, 276, 2234, 4882, 543, 7790, 286, 815, 476, 1015, 544, 1315, 338, 267, 7790, 284, 276, 2234, 4882, 273, 543, 678, 284, 1015, 544, 4882, 273, 320, 284, 7790, 263, 1015, 265, 6523, 4649, 4113, 268, 275, 265, 7367, 265, 6523, 4649, 4113, 268, 275, 265, 276, 265, 7562, 4649, 4113, 268, 273, 265, 1015, 265, 276, 265, 7562, 4649, 4113, 264, 273, 266, 630, 1015, 265, 7562, 4649, 4113, 268, 275, 265, 7367, 265, 7562, 4649, 4113, 266, 275, 265, 276, 265, 6523, 4649, 4113, 266, 273, 265, 1015, 265, 276, 265, 6523, 4649, 4113, 264, 273, 320, 284, 7790, 23470, 10037, 266, 2190, 320, 284, 5611, 544, 273, 338, 692, 343, 692, 17098, 2336, 296, 6415, 8865, 344, 2439, 25898, 596, 899, 547, 1205, 513, 2688, 1557, 286, 1215, 827, 8391, 513, 16419, 835, 2496, 13425, 621, 856 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1620, 540, 3676, 27372, 267, 4791, 4693, 25046, 7355, 666, 1689, 1282, 3075, 1646, 269, 901, 949, 1291, 547, 22522, 8847, 540, 519, 3077, 2551, 2429, 513, 4693, 1982, 780, 11405, 281, 22682, 5581, 519, 3934, 663, 779, 2551, 5057, 909, 12506, 543, 2327, 11007, 538, 10014, 543, 17181, 7355, 2066, 782, 2090, 538, 513, 4693, 1982, 269, 1879, 2556, 267, 8115, 2090, 610, 3606, 2022, 554, 665, 9382, 666, 948, 1921, 4681, 2066, 1114, 5933, 540, 3075, 1646, 780, 6962, 692, 763, 2956, 540, 5402, 10747, 3934, 1343, 3112, 581, 936, 26061, 538, 8888, 13181, 4791, 8062, 538, 519, 2085, 540, 8856, 4915, 269, 1635, 12799, 5466, 1142, 3693, 540, 519, 3934, 663, 5943, 267, 3173, 666, 2333, 519, 10171, 540, 10451, 6325, 2963, 5827, 540, 13057, 2564, 3375, 1818, 269, 2755, 972, 2611, 2591, 2404, 609, 7598, 3934, 1343, 538, 1950, 5468, 267, 513, 9836, 1935, 9256, 22759, 267, 6278, 267, 543, 4294, 1806, 2488, 513, 4396, 5748, 2390, 799, 2104, 22602, 666, 1628, 269, 0, 2237, 513, 1279, 543, 1360, 2143, 1576, 1770, 585, 513, 1837, 593, 834, 32747, 23632, 5071, 538, 519, 6520, 540, 30059, 6925, 257, 5497, 585, 2852, 1053, 563, 2171, 723, 2907, 4988, 3184, 4433, 264, 834, 272, 269, 4985, 2580, 834, 273, 269, 18926, 9270, 585, 3209, 5123, 594, 268, 2862, 4693, 6272, 2580, 834, 274, 269, 9457, 10873, 585, 22597, 267, 3760, 543, 11127, 8062, 2580, 834, 275, 269, 11154, 633, 543, 23918, 6272, 257, 543, 616, 1631, 1603, 513, 3184, 593, 834, 276, 269, 6480, 574, 663, 267, 1147, 5766, 622, 543, 12432, 1439, 9557, 8487, 2791, 786, 581, 1603, 519, 1101, 1016, 15492, 585, 713, 3184, 563, 2237, 519, 1007, 1016, 15492, 11331, 834, 276, 269, 272, 269, 6480, 574, 663, 257, 1247, 3843, 547, 581, 912, 268, 21004, 910, 596, 1711, 4101, 9499, 602, 3382, 519, 1570, 538, 3178, 563, 268, 12056, 910, 707, 9499, 723, 513, 2239, 9095, 543, 2502, 3159, 267, 899, 519, 1603, 540, 7812, 11066, 563, 268, 11930, 910, 596, 946, 1808, 543, 4052, 1806, 269, 1280, 1383, 267, 952, 519, 1888, 568, 5610, 538, 11810, 267, 1331, 4834, 543, 15997, 540, 519, 1523, 596, 2811, 3450, 269, 1306, 1776, 1383, 267, 952, 519, 1888, 568, 519, 1686, 540, 519, 2136, 2276, 267, 1331, 7389, 267, 4408, 267, 543, 1883, 2621, 563, 8855, 547, 1118, 1543, 6098, 693, 2852, 1053, 267, 945, 949, 723, 930, 13654, 1702, 855, 616, 711, 4966, 538, 519, 2361, 269, 634, 1570, 1058, 581, 2143, 543, 2219, 4538, 269, 0, 6637, 7170, 281, 4197, 2672, 8336, 543, 1215, 19198, 2052, 6435, 692, 5331, 1373, 865, 8909, 610, 4743, 971, 7920, 1928, 602, 596, 1376, 3206, 827, 9292, 1154, 3054, 610, 1256, 10678, 707, 1272, 269, 19759, 569, 267, 930, 1004, 1745, 713, 1259, 543, 949, 2015, 11980, 269, 1809, 1018, 5012, 2576, 547, 723, 891, 4606, 286, 1656, 875, 666, 649, 948, 873, 1354, 621, 781, 1932, 3735, 286, 4653, 267, 1577, 781, 2263, 891, 1271, 2055, 1247, 1565, 827, 1114, 2010, 540, 3885, 543, 3347, 267, 1519, 1346, 1369, 519, 11806, 266, 2146, 780, 5575, 267, 1577, 781, 2911, 827, 1946, 2576, 1522, 1589, 827, 11980, 269, 1703, 3884, 1405, 835, 2582, 2601, 267, 855, 3173, 1419, 1265, 602, 7965, 693, 1753, 267, 2042, 693, 1153, 267, 2790, 1072, 2152, 899, 4965, 267, 610, 9620, 609, 3961, 666, 3565, 547, 891, 4555, 269, 6884, 267, 950, 2576, 7959, 30890, 689, 1866, 267, 789, 1522, 3494, 1100, 835, 17358, 610, 30128, 827, 873, 269, 2334, 781, 1141, 2178, 1920, 4296, 2097, 883, 1404, 2439, 293, 7056, 625, 616, 1898, 538, 4543, 2061, 11980, 1317, 789, 666, 5431, 2242, 538, 2623, 543, 4664, 602, 1223, 5815, 11605, 269, 1452, 10881, 616, 1572, 834, 22022, 11980, 9963, 4191, 1701, 1280, 1383, 267, 952, 513, 6068, 835, 6238, 4758, 2476, 17028, 7458, 22590, 267, 6158, 811, 827, 2669, 982, 8912, 267, 610, 11198, 532, 689, 2828, 543, 2238, 267, 621, 779, 2629, 547, 1491, 5469, 543, 3914, 856, 585, 1489, 269, 1635, 5807, 1930, 2792, 267, 10343, 267, 543, 2648, 267, 3885, 1711, 2922, 5624, 1141, 2043, 666, 2671, 741, 4145, 543, 2591, 780, 3086, 267, 1577, 781, 1865, 4244, 1920, 3889, 267, 1519, 11806, 266, 3885, 269, 1323, 4244, 1920, 568, 1022, 1920, 12122, 824, 982, 513, 2757, 3158, 1673, 611, 7622, 269, 2368, 1806, 1331, 2582, 1790, 1861, 10820, 267, 20762, 3885, 267, 6074, 3885, 267, 543, 1482, 20967, 2385, 539, 3885, 269, 932, 4923, 3885, 3277, 547, 2673, 10275, 27848, 2516, 540, 11215, 2828, 945, 1599, 607, 513, 1920, 1770, 269, 1358, 666, 1683, 3606, 6106, 540, 1416, 543, 4276, 3564, 6211, 610, 3656, 13218, 780, 1103, 11806, 266, 3885, 267, 3237, 3068, 2189, 2591, 1472, 6848, 16663, 543, 7130, 269, 1306, 513, 1267, 267, 1453, 3395, 909, 538, 891, 10820, 949, 1995, 11648, 610, 10072, 1813, 547, 21390, 827, 741, 3885, 269, 1717, 267, 1382, 2982, 602, 3214, 6659, 538, 15962, 543, 11215, 5321, 1107, 7488, 540, 2436, 789, 616, 18188, 676, 10636, 18400, 610, 28305, 15185, 1107, 3622, 1020, 13974, 2066, 1585, 3929, 267, 1514, 267, 543, 5626, 3800, 780, 3383, 267, 1394, 547, 938, 3312, 2243, 281, 1548, 1909, 1281, 1920, 1404, 538, 7303, 11980, 1851, 922, 2818, 286, 589, 2487, 1353, 8268, 519, 5380, 540, 1312, 11980, 3801, 15000, 543, 741, 14077, 538, 19168, 269, 12824, 1336, 602, 3006, 267, 3885, 543, 15000, 3838, 1455, 4128, 3297, 29047, 4555, 267, 971, 607, 2078, 13542, 610, 2883, 21500, 269, 4033, 2053, 267, 2705, 267, 27753, 7153, 1063, 875, 1142, 1895, 9763, 519, 3123, 540, 519, 6433, 269, 17859, 267, 1620, 891, 18144, 2337, 16491, 1920, 2818, 609, 2645, 2877, 547, 2697, 1761, 4220, 4505, 543, 3343, 3617, 6304, 780, 4131, 781, 3142, 713, 6251, 547, 1753, 269, 5994, 2348, 513, 3659, 945, 14439, 607, 851, 540, 519, 11806, 266, 2146, 269, 12344, 789, 2769, 17140, 936, 3586, 11648, 693, 1153, 1813, 547, 741, 4638, 10066, 610, 4008, 3961, 269, 2107, 6148, 789, 3100, 29099, 11397, 25015, 269, 3767, 11439, 609, 938, 16012, 1702, 267, 596, 8275, 602, 891, 5615, 1223, 5365, 5817, 11605, 543, 15549, 9543, 6643, 543, 28450, 6947, 269, 1411, 5000, 873, 547, 3717, 16175, 827, 741, 4606, 543, 7618, 873, 602, 1082, 2200, 2291, 547, 4217, 873, 998, 2352, 2053, 780, 3528, 8508, 4763, 538, 782, 3029, 540, 1920, 2497, 543, 5009, 13784, 267, 649, 7794, 938, 2950, 543, 7668, 3025, 547, 1628, 6043, 1996, 14488, 269, 8625, 267, 649, 666, 6536, 10930, 5054, 1141, 1169, 1367, 6487, 789, 4866, 543, 814, 1569, 547, 519, 2556, 1489, 1949, 547, 1291, 16180, 2729, 1863, 689, 21817, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 21008, 532, 519, 4128, 585, 11980, 689, 3801, 15000, 543, 741, 3885, 538, 19168, 454, 289, 10157, 5398, 2657, 4320, 476, 866, 267, 9137, 1297, 281, 476, 31404, 630, 1001, 280, 994, 23991, 2818, 616, 1883, 538, 16326, 2038, 11980, 9963, 4191, 269, 901, 1353, 3379, 519, 4128, 585, 647, 545, 573, 1275, 607, 4080, 676, 3801, 15000, 609, 741, 1920, 11570, 538, 19168, 563, 288, 12007, 1374, 729, 1031, 547, 2824, 513, 3732, 2450, 540, 476, 736, 630, 1015, 1920, 2818, 543, 476, 1015, 11980, 3801, 15000, 1040, 634, 15122, 2079, 729, 1031, 547, 20272, 519, 1239, 563, 26046, 540, 519, 1239, 4951, 1079, 2101, 4798, 281, 476, 272, 264, 5381, 30258, 630, 3602, 1312, 3885, 543, 3801, 15000, 9846, 4080, 2147, 4128, 585, 647, 545, 573, 1275, 543, 476, 273, 264, 7756, 30258, 630, 3602, 972, 941, 8325, 11651, 326, 1878, 1916, 8340, 902, 689, 713, 1353, 948, 547, 1174, 519, 22026, 540, 3801, 31848, 1920, 2818, 547, 26544, 2038, 1282, 29047, 6433, 563, 763, 14375, 3069, 540, 11980, 6941, 602, 972, 2115, 547, 581, 519, 7287, 543, 2702, 547, 6146, 13951, 585, 29047, 7180, 547, 2049, 1547, 15012, 518, 476, 2417, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 674, 4456, 6579, 312, 1299, 23781, 9569, 17239, 296, 4916, 1315, 20010, 7731, 1315, 11806, 266, 19198, 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, 22175, 17790, 28613, 910, 4197, 1215, 1284, 654, 11208, 692, 8702, 267, 5664, 3427, 4841, 256, 5620, 596, 2479, 9289, 1946, 1004, 979, 547, 5939, 543, 1018, 789, 798, 972, 286, 4270, 267, 835, 1271, 2460, 540, 2469, 547, 5939, 568, 10283, 538, 1945, 1572, 1396, 21395, 269, 1809, 1018, 4010, 1281, 602, 1611, 286, 2913, 781, 4685, 883, 713, 4241, 1158, 1927, 2439, 5331, 1373, 538, 513, 14364, 1141, 513, 4190, 1404, 4652, 9529, 1354, 707, 4064, 269, 2920, 832, 21039, 538, 10477, 24853, 973, 924, 3515, 609, 7553, 267, 605, 1186, 616, 1031, 21176, 267, 2575, 5036, 519, 7099, 267, 543, 8654, 10597, 1142, 6429, 269, 2353, 891, 2609, 960, 1927, 547, 1711, 513, 9159, 1995, 602, 6645, 513, 1650, 269, 3767, 267, 5372, 1346, 11051, 609, 2818, 540, 513, 5132, 2146, 267, 519, 3942, 3587, 741, 25113, 267, 543, 519, 1650, 5143, 568, 827, 2696, 543, 8103, 781, 2078, 609, 13924, 269, 2334, 267, 1250, 2828, 267, 568, 513, 16866, 4528, 540, 1018, 1396, 21395, 5654, 899, 538, 8567, 2439, 3383, 267, 1018, 568, 22175, 17790, 28613, 1287, 286, 898, 781, 3274, 519, 1353, 540, 875, 649, 10847, 1107, 621, 12116, 519, 4978, 267, 2853, 267, 6698, 267, 19001, 267, 543, 12738, 1336, 1369, 1585, 4168, 29559, 1282, 741, 2533, 269, 1635, 1620, 1396, 17790, 18381, 267, 649, 666, 5660, 519, 5898, 543, 4644, 3297, 938, 6411, 540, 18497, 10847, 780, 4131, 781, 2263, 930, 1883, 2035, 896, 713, 22597, 1384, 272, 269, 29526, 281, 3807, 899, 538, 1148, 1362, 267, 3615, 538, 1396, 21395, 3180, 4514, 2495, 269, 1280, 1383, 267, 3694, 543, 9174, 2099, 4906, 262, 1560, 543, 1973, 1282, 4004, 542, 267, 22348, 721, 540, 3571, 15093, 585, 938, 21359, 780, 273, 269, 681, 3770, 3527, 281, 6056, 540, 873, 607, 25287, 8319, 1117, 5322, 2944, 676, 1082, 3946, 2429, 1686, 269, 918, 928, 9934, 267, 7555, 267, 9361, 267, 15385, 13951, 1107, 782, 6655, 27527, 267, 21548, 267, 14696, 267, 610, 824, 5289, 8741, 1431, 3838, 1851, 21071, 2066, 942, 543, 2230, 780, 274, 269, 21813, 619, 1299, 670, 2096, 985, 281, 1452, 9275, 543, 23475, 1913, 26595, 721, 32375, 267, 11589, 938, 7104, 17192, 267, 7064, 15130, 267, 1476, 11970, 267, 543, 1139, 997, 566, 547, 2696, 269, 1358, 1419, 16079, 13400, 4798, 543, 10752, 267, 17923, 938, 3961, 607, 13794, 540, 2441, 780, 275, 269, 12856, 281, 5272, 3028, 5205, 513, 4806, 267, 2436, 6101, 610, 13016, 269, 901, 2497, 10274, 5171, 998, 1114, 11775, 540, 8086, 267, 1565, 267, 543, 3210, 267, 6038, 3056, 4724, 7004, 780, 3086, 4952, 3054, 11504, 513, 5939, 3028, 1310, 1565, 827, 1396, 17790, 18381, 269, 1411, 1522, 5469, 1919, 8335, 282, 5310, 19825, 811, 7184, 519, 13513, 538, 19071, 3359, 267, 4743, 4448, 998, 9746, 11755, 267, 14952, 532, 693, 519, 11745, 625, 538, 1728, 332, 985, 267, 610, 7680, 513, 2631, 540, 9322, 9624, 3309, 9161, 7215, 780, 8855, 267, 1175, 607, 1169, 4062, 540, 11247, 568, 2189, 267, 865, 1932, 616, 519, 2081, 10271, 2769, 741, 2648, 543, 20174, 547, 2696, 269, 3414, 4974, 1396, 17790, 18381, 267, 649, 2744, 4030, 883, 713, 3638, 13795, 18955, 936, 5553, 267, 29947, 938, 7071, 585, 519, 4763, 543, 3178, 540, 4168, 5389, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 5522, 32418, 543, 3171, 25733, 4325, 5474, 454, 289, 11336, 32600, 593, 18321, 543, 9177, 454, 19751, 476, 2918, 268, 2764, 267, 476, 1708, 273, 454, 5522, 32418, 543, 3171, 25733, 4325, 5474, 454, 297, 699, 3240, 23548, 29560, 568, 7338, 589, 269, 18999, 5112, 31692, 1639, 3194, 7905, 540, 28613, 693, 16099, 6555, 6541, 3427, 543, 519, 31780, 3397, 1901, 10615, 543, 13653, 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 ]
[ 2097, 909, 609, 513, 1544, 547, 3094, 519, 3014, 780, 9617, 899, 538, 13558, 267, 950, 3257, 1870, 609, 1004, 689, 824, 2477, 267, 621, 781, 1271, 547, 1174, 741, 2189, 9821, 543, 2853, 269, 901, 3184, 786, 1445, 593, 27410, 609, 1004, 689, 6792, 543, 2491, 1946, 6616, 741, 2686, 3604, 666, 1291, 547, 1732, 9388, 543, 6793, 3347, 780, 272, 269, 4208, 1281, 2528, 2339, 538, 19908, 2496, 290, 11857, 5546, 519, 1259, 1004, 1589, 267, 5968, 267, 543, 1118, 3664, 269, 1879, 27410, 267, 1620, 2576, 3116, 781, 2686, 4282, 666, 948, 596, 1294, 1919, 689, 741, 5133, 267, 1628, 3972, 267, 543, 1265, 1455, 2666, 269, 898, 849, 11151, 21390, 602, 1223, 3541, 841, 519, 4308, 269, 1280, 1383, 267, 952, 596, 1810, 1405, 917, 602, 14047, 7081, 568, 3810, 12595, 538, 930, 4529, 855, 1447, 865, 538, 1866, 267, 596, 1522, 4636, 569, 8263, 602, 513, 3735, 12625, 1797, 519, 824, 5428, 3884, 1405, 5461, 538, 1818, 513, 4308, 780, 273, 269, 11204, 9177, 543, 32468, 2747, 13910, 692, 300, 1410, 4815, 814, 513, 3638, 1686, 543, 7524, 2528, 602, 7506, 922, 19908, 2511, 269, 7731, 2418, 267, 2463, 585, 6392, 267, 543, 2078, 2679, 616, 1898, 2609, 540, 11204, 1870, 28972, 269, 22702, 547, 3345, 4892, 267, 5165, 15092, 4043, 547, 6108, 811, 942, 3478, 547, 917, 1142, 824, 1354, 7234, 1870, 6927, 269, 8490, 2123, 4296, 1101, 5036, 519, 3942, 585, 3811, 16395, 2663, 593, 780, 274, 269, 13983, 564, 902, 543, 25315, 956, 692, 294, 516, 7566, 2576, 5265, 2982, 2463, 543, 13976, 29037, 269, 17372, 1004, 1210, 741, 3318, 10643, 630, 324, 3052, 1421, 16362, 267, 23910, 264, 4553, 676, 741, 21519, 2394, 14376, 547, 798, 6382, 269, 1744, 820, 3946, 16119, 1247, 4509, 3750, 3346, 1282, 31047, 269, 9093, 949, 7227, 585, 2021, 547, 2709, 741, 1688, 1101, 269, 1403, 5870, 538, 513, 1895, 267, 21199, 3025, 781, 1688, 14350, 267, 4358, 689, 519, 1318, 2427, 780, 275, 269, 4793, 1466, 543, 21253, 2225, 692, 27078, 582, 9911, 538, 6792, 1419, 1491, 3476, 982, 538, 824, 2694, 540, 519, 1158, 1813, 547, 519, 8561, 5116, 593, 2679, 3347, 269, 5463, 2888, 616, 2356, 1500, 15217, 1310, 17874, 1920, 2818, 610, 11967, 31548, 269, 2142, 3461, 543, 8465, 267, 607, 1896, 11401, 949, 581, 2838, 1354, 8757, 606, 6876, 269, 16458, 6050, 666, 3006, 6521, 267, 865, 3815, 713, 883, 707, 4058, 1184, 780, 276, 269, 6034, 1145, 5288, 1473, 1311, 1145, 692, 4407, 1463, 2792, 568, 15874, 538, 1082, 5375, 4529, 267, 5165, 15092, 3622, 4782, 9940, 1145, 543, 11029, 1399, 269, 1358, 949, 2057, 6031, 1412, 7224, 262, 30739, 547, 8190, 10103, 543, 2226, 1434, 15884, 269, 5502, 267, 789, 1522, 17538, 24895, 998, 1560, 1893, 267, 533, 13415, 267, 610, 22394, 6114, 269, 23016, 5402, 543, 2542, 1063, 519, 3515, 666, 948, 596, 21264, 1018, 789, 2731, 1611, 780, 277, 269, 717, 3424, 29179, 543, 9869, 20890, 692, 294, 22284, 616, 22232, 538, 11204, 1870, 2528, 267, 2523, 1282, 3355, 11401, 269, 9540, 21797, 971, 607, 23445, 267, 30300, 1513, 267, 610, 669, 4377, 919, 12946, 707, 2754, 20446, 616, 3617, 17267, 269, 1717, 267, 2057, 4758, 3688, 2404, 609, 2669, 610, 3983, 9939, 267, 899, 23805, 610, 31009, 269, 11408, 946, 707, 1318, 1688, 950, 9306, 13344, 267, 607, 519, 2451, 1688, 568, 2808, 791, 565, 924, 780, 278, 269, 28304, 12694, 692, 8601, 891, 10486, 267, 1169, 19908, 2501, 609, 9465, 269, 5678, 7496, 267, 14542, 3656, 1949, 267, 543, 2845, 6750, 2152, 666, 635, 12393, 6927, 269, 1677, 6330, 891, 2591, 267, 2015, 24574, 1359, 609, 513, 2199, 6109, 5432, 609, 6237, 16082, 610, 17849, 19636, 5234, 269, 30799, 942, 538, 1565, 5053, 666, 849, 6542, 7029, 543, 6536, 6793, 3347, 780, 279, 269, 11773, 12267, 692, 19617, 2730, 3549, 723, 6707, 4044, 730, 3444, 14426, 16395, 609, 6792, 269, 2290, 1383, 2882, 16110, 16359, 7577, 267, 799, 8118, 513, 5663, 2030, 2282, 19555, 657, 21034, 538, 476, 2735, 277, 269, 1635, 8508, 11204, 9821, 543, 15268, 741, 2359, 2511, 9935, 267, 16110, 3964, 1279, 18835, 12352, 543, 5818, 539, 12434, 269, 4653, 267, 6792, 3788, 835, 540, 16110, 781, 1034, 4105, 2504, 32387, 3544, 519, 2136, 2276, 780, 3528, 1620, 543, 19825, 2686, 3604, 267, 596, 1932, 666, 3035, 1967, 538, 3486, 16395, 269, 3807, 607, 10888, 513, 13558, 6474, 3340, 14577, 707, 4640, 2687, 547, 707, 17837, 267, 2500, 3444, 31215, 7231, 5673, 593, 1373, 6213, 547, 519, 9821, 543, 6788, 540, 1346, 3238, 269, 1924, 10591, 909, 267, 1451, 827, 1007, 4529, 267, 543, 2972, 519, 4190, 3014, 540, 2518, 1870, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 4692, 6792, 16440, 2659, 18242, 20456, 888, 6624, 9755, 543, 4853, 4238, 616, 6849, 513, 1297, 540, 21463, 269, 1703, 779, 13781, 17522, 267, 6639, 17522, 267, 7082, 17522, 267, 543, 3761, 5832, 17522, 269, 2755, 972, 616, 513, 1297, 540, 3681, 585, 19086, 519, 1764, 540, 1142, 267, 18534, 1681, 6763, 856, 607, 513, 2565, 1259, 547, 7413, 3761, 5832, 14443, 687, 563, 1103, 2221, 779, 12558, 267, 649, 616, 8678, 676, 19499, 1729, 16645, 541, 9418, 267, 519, 674, 10133, 543, 5883, 10615, 540, 13605, 8457, 320, 267, 945, 8843, 875, 6792, 779, 16133, 267, 1762, 13781, 267, 543, 9952, 4074, 1118, 621, 519, 4998, 4087, 585, 9755, 3168, 547, 18534, 648, 610, 2199, 1125, 3344, 540, 741, 4238, 610, 3761, 5832, 269, 4586, 18794, 607, 649, 1865, 912, 268, 1548, 2306, 6792, 606, 4998, 4087, 585, 19086, 3761, 5832, 17522, 454, 268, 5871, 20887, 827, 9591, 4238, 538, 6792, 454, 268, 26861, 8163, 596, 3580, 3068, 543, 2081, 547, 7753, 873, 454, 268, 1215, 2029, 2337, 596, 1205, 909, 543, 4881, 5488, 454, 268, 11778, 543, 21614, 296, 1759, 824, 3906, 723, 6913, 454, 16987, 1329, 857, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 24292, 20212, 538, 32468, 2747, 257, 607, 851, 540, 834, 24082, 1299, 18598, 1315, 32468, 11868, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 8080, 547, 938, 1576, 1770, 782, 827, 5883, 5026, 6703, 256, 5620, 596, 2479, 9289, 875, 707, 5172, 11614, 267, 14934, 916, 267, 10977, 20115, 267, 543, 824, 16351, 5624, 3251, 1930, 543, 7500, 12347, 286, 2334, 781, 1018, 649, 1289, 11846, 11120, 1006, 5004, 1107, 621, 781, 1818, 2386, 602, 891, 4025, 2709, 1187, 2238, 1247, 5329, 8436, 2922, 267, 6126, 267, 543, 4947, 1394, 585, 811, 269, 4653, 267, 1577, 781, 2263, 1614, 1271, 3344, 540, 11846, 11120, 1006, 5004, 602, 948, 4482, 1004, 547, 891, 9735, 28503, 281, 6725, 267, 22048, 267, 543, 4087, 2861, 2533, 780, 1262, 272, 269, 16373, 910, 1975, 15105, 519, 6478, 6168, 2659, 6611, 4373, 5331, 26539, 513, 4190, 1007, 25920, 6288, 609, 15813, 15155, 1186, 543, 9465, 267, 855, 1100, 835, 6487, 827, 621, 269, 645, 28026, 267, 1318, 26834, 1677, 1205, 1004, 9599, 827, 9683, 707, 9744, 267, 596, 991, 547, 2995, 873, 1946, 789, 1058, 3442, 22400, 1747, 936, 1866, 7404, 269, 901, 1184, 568, 1572, 2608, 5658, 7566, 29688, 1411, 666, 1589, 540, 621, 899, 1373, 513, 17869, 548, 14575, 585, 707, 5026, 9744, 676, 4687, 3579, 2984, 267, 20171, 3750, 2275, 10248, 2592, 267, 543, 5356, 9388, 602, 786, 10544, 1004, 779, 3007, 269, 1879, 2944, 1134, 267, 6725, 2337, 1628, 4296, 1063, 707, 1870, 543, 1761, 5561, 865, 602, 3025, 2640, 780, 1262, 273, 269, 9612, 5422, 26659, 630, 10345, 302, 264, 910, 10435, 17610, 4658, 4855, 9358, 6732, 4373, 3086, 12997, 267, 950, 2576, 6499, 547, 1265, 1945, 1765, 3697, 513, 16945, 4565, 8172, 678, 1074, 610, 14912, 5480, 9789, 344, 2356, 1413, 621, 909, 2228, 1210, 3406, 9817, 971, 607, 5616, 269, 1924, 267, 952, 707, 5026, 9744, 3884, 1405, 2653, 547, 1265, 998, 1346, 19707, 267, 1287, 1082, 11570, 1522, 2760, 1256, 917, 596, 2291, 256, 2334, 781, 1141, 22048, 2501, 883, 1404, 269, 898, 6763, 585, 968, 15507, 5422, 26659, 892, 543, 1797, 5355, 707, 3896, 865, 602, 3406, 9817, 1397, 621, 2362, 909, 538, 741, 2164, 269, 1635, 3257, 1919, 899, 4946, 17161, 267, 2870, 5363, 5816, 9708, 267, 543, 3478, 2318, 8039, 267, 596, 2333, 519, 8458, 540, 1004, 4466, 707, 3135, 1101, 1354, 1022, 15712, 9957, 1656, 2899, 789, 3605, 707, 5863, 2230, 267, 972, 3513, 581, 4986, 16069, 873, 689, 9878, 513, 3643, 2439, 1262, 274, 269, 19715, 15369, 7896, 910, 29955, 6250, 6002, 13782, 622, 4256, 10158, 4373, 7661, 267, 4952, 2348, 513, 13558, 2361, 1950, 1159, 871, 546, 629, 538, 519, 1647, 540, 1079, 14297, 4872, 269, 2755, 621, 781, 1390, 585, 1312, 2950, 267, 3006, 1004, 949, 6560, 547, 1265, 856, 4010, 18040, 16730, 596, 616, 4092, 269, 2334, 781, 1141, 4087, 2861, 2533, 1900, 538, 547, 4688, 519, 1554, 256, 1452, 2645, 946, 2029, 899, 15870, 9477, 547, 3391, 8436, 2786, 547, 707, 7450, 21163, 269, 3958, 267, 3246, 2312, 4191, 1472, 4884, 543, 1369, 707, 3959, 2306, 10188, 1454, 12863, 269, 2991, 782, 267, 18864, 15055, 3478, 4503, 2059, 519, 1259, 282, 2523, 950, 789, 2811, 11235, 547, 1376, 4730, 930, 535, 7491, 531, 610, 18176, 3853, 2439, 3383, 267, 1985, 942, 596, 2972, 513, 1554, 693, 707, 2199, 5026, 9744, 267, 3314, 519, 2182, 960, 3297, 519, 10207, 602, 4422, 883, 1818, 707, 1995, 11791, 543, 2566, 6954, 269, 3245, 15931, 6725, 11044, 547, 1283, 27677, 577, 22048, 2853, 543, 15774, 4087, 2861, 2533, 267, 1169, 1469, 4249, 513, 1909, 538, 8744, 3885, 1927, 585, 12300, 8090, 540, 3742, 1187, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 24281, 519, 6422, 543, 8013, 5251, 540, 519, 3059, 1158, 267, 4213, 616, 7683, 5275, 5499, 2081, 547, 7001, 519, 3007, 540, 741, 3077, 5304, 543, 1118, 513, 9434, 1764, 269, 2060, 519, 4473, 540, 2228, 10229, 543, 519, 2810, 4644, 540, 3406, 2599, 11938, 630, 10345, 302, 1070, 3549, 616, 16734, 519, 14063, 2956, 540, 513, 2178, 2228, 4527, 269, 769, 713, 2796, 267, 519, 6791, 540, 1357, 17393, 793, 3820, 31438, 29116, 267, 3226, 538, 519, 26441, 540, 13127, 375, 352, 417, 495, 488, 418, 488, 499, 418, 498, 378, 2073, 10345, 302, 267, 543, 7463, 2533, 899, 3001, 538, 519, 4872, 540, 570, 664, 534, 543, 18087, 2129, 19561, 2426, 269, 634, 5345, 6295, 8131, 540, 31055, 31055, 814, 2097, 513, 1279, 1259, 689, 922, 2757, 3029, 547, 519, 6946, 543, 15491, 2994, 540, 519, 3059, 5736, 269, 769, 713, 3728, 19550, 1604, 267, 519, 1379, 540, 10229, 6013, 711, 1152, 538, 922, 1543, 855, 849, 538, 922, 6881, 269, 901, 568, 1141, 1357, 17393, 793, 3820, 9727, 922, 23258, 269, 2060, 513, 2319, 540, 6131, 4648, 945, 1174, 519, 14960, 540, 3593, 2623, 543, 6278, 267, 519, 2754, 524, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 306, 7964, 11120, 1006, 5004, 257, 607, 851, 540, 834, 24082, 1299, 18598, 1315, 24322, 1315, 5244, 1299, 28046, 5004, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 4495, 2390, 513, 942, 267, 538, 513, 1507, 8498, 538, 3127, 267, 5030, 1079, 1655, 2828, 3957, 1520, 16951, 543, 24497, 328, 269, 1358, 941, 19832, 676, 519, 2757, 7544, 1106, 540, 741, 1533, 910, 22186, 752, 8932, 269, 1358, 4941, 547, 1451, 811, 827, 875, 519, 25249, 6829 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4603, 609, 1114, 6163, 540, 1603, 563, 265, 2878, 30395, 30151, 4995, 22628, 707, 3356, 936, 942, 666, 948, 1628, 6015, 543, 1582, 12635, 269, 9578, 267, 8026, 1603, 666, 2087, 707, 2792, 1983, 2336, 265, 2878, 8269, 937, 4995, 18391, 1394, 693, 2025, 13366, 666, 948, 721, 2992, 593, 875, 2484, 649, 4312, 2097, 543, 1018, 649, 4312, 4121, 780, 6637, 476, 275, 281, 15775, 29035, 609, 4750, 532, 692, 3086, 602, 596, 917, 1018, 30998, 568, 543, 1946, 621, 781, 6225, 1577, 781, 1205, 3323, 256, 3371, 616, 930, 4388, 585, 4358, 707, 1378, 30998, 2259, 1384, 265, 2878, 8340, 513, 8074, 1504, 4995, 3689, 1919, 1101, 267, 596, 991, 1945, 547, 2328, 538, 256, 6733, 585, 513, 21641, 602, 7959, 6899, 543, 2027, 547, 596, 269, 9320, 621, 814, 513, 3579, 1374, 267, 610, 6148, 621, 781, 1175, 10750, 543, 2241, 269, 21894, 1568, 585, 596, 568, 3501, 2336, 265, 2878, 13729, 31035, 5384, 4995, 8347, 547, 1305, 11735, 930, 9602, 942, 1142, 1554, 585, 30998, 269, 4634, 2947, 3764, 666, 1118, 513, 2462, 3017, 563, 265, 2878, 10673, 1405, 1937, 787, 6168, 26538, 610, 18049, 4995, 5457, 267, 707, 4760, 568, 1175, 585, 596, 269, 5213, 1405, 5855, 827, 1818, 9073, 610, 1739, 7453, 1603, 3652, 269, 3807, 2328, 8726, 2501, 547, 2247, 2336, 265, 2878, 6826, 12968, 652, 4995, 2142, 9237, 609, 3054, 950, 596, 2328, 269, 1403, 1945, 568, 21898, 532, 596, 267, 2328, 827, 621, 269, 1403, 596, 2811, 4743, 6126, 267, 2328, 827, 602, 1932, 2336, 265, 2878, 16987, 2939, 4995, 8347, 1114, 2010, 540, 30998, 267, 971, 607, 1863, 8586, 630, 3602, 596, 2328, 1875, 17380, 585, 513, 1978, 2179, 540, 942, 1070, 16886, 2798, 267, 610, 5373, 269, 4855, 1018, 1568, 1655, 585, 596, 2439, 6637, 476, 276, 281, 28304, 26861, 8163, 692, 15919, 621, 666, 581, 2182, 547, 6529, 547, 513, 1007, 4356, 267, 899, 30998, 269, 3371, 616, 930, 1455, 9465, 543, 875, 547, 7753, 873, 1384, 265, 2878, 296, 1810, 1405, 917, 1018, 547, 2328, 827, 4995, 3503, 827, 707, 1554, 267, 707, 5172, 1426, 267, 610, 1945, 596, 4718, 3544, 707, 6885, 269, 1703, 781, 2141, 1945, 547, 2328, 827, 952, 596, 1413, 5702, 2614, 2336, 265, 2878, 296, 6415, 12922, 2576, 786, 1224, 1250, 4760, 4995, 5269, 2386, 547, 1832, 707, 4760, 538, 513, 2922, 1747, 1141, 1152, 596, 666, 1569, 621, 269, 2107, 267, 2015, 1210, 3009, 1913, 610, 6698, 547, 2149, 707, 7834, 563, 265, 2878, 296, 1810, 1405, 723, 942, 4995, 5590, 23106, 593, 707, 6049, 610, 11706, 547, 948, 596, 3314, 547, 4760, 269, 4746, 267, 2119, 547, 9192, 30998, 609, 1776, 2534, 267, 899, 17678, 707, 4522, 610, 14964, 519, 1668, 780, 6962, 692, 2171, 4126, 596, 10150, 1565, 827, 30998, 543, 922, 4276, 547, 1582, 13282, 269, 3767, 979, 6619, 543, 10544, 513, 21641, 543, 4050, 543, 1376, 3695, 707, 6418, 1158, 998, 30998, 269, 8414, 1603, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 27324, 4569, 585, 8866, 454, 268, 9977, 532, 8249, 454, 268, 661, 6369, 585, 8866, 454, 268, 9752, 8249, 454, 1015, 7454, 4569, 20176, 625, 585, 8866, 281, 3245, 10606, 547, 21931, 454, 736, 7454, 4569, 8274, 10632, 547, 28389, 2659, 17718, 779, 4569, 2806, 1988, 454, 736, 7454, 4569, 9752, 29393, 585, 11334, 538, 476, 1708, 274, 454, 13043, 17644, 585, 23467, 1041, 532, 8866, 281, 15206, 547, 25004, 6103, 454, 1015, 7454, 2776, 10275, 4569, 9669, 1677, 3763, 4569, 10341, 454, 295, 2345, 1041, 5288, 5398, 3427, 281, 476, 1321, 9669, 593, 1215, 547, 7994, 2290, 454, 1428, 12708, 5020, 10341, 11242, 585, 8866, 281, 15332, 13235, 338, 454, 3963, 568, 4569, 1924, 10434, 286, 476, 1556, 18467, 1677, 6435, 4841, 2060, 4569, 21824, 454, 1692, 547, 661, 848, 7982, 3562, 4149, 1041, 17520, 538, 8866, 1107, 476, 279, 7454, 9669, 454, 12988, 547, 3427, 9669, 585, 14268, 281, 476, 1321, 11150, 585, 513, 21988, 14288, 5729, 454, 30747, 7124, 7335, 5426, 281, 589, 9977, 779, 15484, 18145, 585, 11773, 454, 1692, 547, 17546, 590, 697, 9293, 547, 15206, 8866, 281, 476, 1015, 14168, 9669, 454, 4200, 8342, 5500, 9293, 585, 8866, 547, 32402, 548, 519, 8342, 5500, 24942, 454, 1911, 266, 5903, 540, 2296, 7638, 2125, 585, 8866, 547, 13724, 4256, 2296, 454, 1432, 568, 634, 1325, 874, 12185, 20232, 286, 9502, 267, 6201, 1299, 3194, 454, 866, 18771, 268, 5970, 4569, 11819, 4675, 15533, 585, 661, 12661, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 22711, 532, 607, 8682, 4211, 732, 257, 607, 851, 540, 834, 28765, 22723, 13493, 1315, 5678, 8551, 1315, 4750, 5675, 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, 5030, 1079, 8773, 2828, 267, 2098, 2089, 344, 543, 645, 32111, 269, 1358, 941, 1100, 8723, 11608, 282, 789, 1185, 1044, 23553, 609, 1945, 1572, 7849, 5678, 14409, 630, 301, 10861, 1040, 901, 5863, 2702, 4847, 873, 547, 1174, 543, 1256, 2911, 899, 3425, 256, 4256, 5172, 2534, 729, 4543, 741, 1480, 3659, 267, 21667, 267, 676, 7421, 782, 1200, 1007, 1433, 16306, 780, 3080, 13566, 1554, 267, 1247, 17655, 519, 5767, 1655, 8688, 619, 267, 2098, 2089, 344, 8068, 602, 1082, 5561, 2451, 2228, 8039, 827, 519, 2835, 269, 1261, 2219, 267, 834, 25898, 333, 1405, 621, 581, 1390, 952, 649, 1223, 1224, 891, 8292, 543, 948, 4589, 2087, 741, 2984, 8119, 27837, 267, 646, 3838, 1010, 2856, 609, 645, 32111, 780, 289, 32111, 14452, 267, 834, 6546, 4992, 9735, 267, 2098, 2089, 344, 256, 594, 666, 5659, 1142, 2689, 543, 1265, 856, 1018, 1004, 17329, 610, 20247, 27419, 1701, 2060, 28589, 267, 789, 9268, 27742, 1765, 327, 7026, 267, 14220, 267, 14281, 267, 610, 8909, 4606, 6829, 538, 1346, 6263, 6835, 269, 3973, 267, 645, 32111, 9286, 8369, 1759, 593, 1585, 4798, 1459, 538, 519, 2984, 281, 9814, 267, 7045, 267, 15832, 267, 610, 14810, 780, 2026, 2395, 5293, 267, 811, 9599, 3755, 10272, 741, 4558, 267, 3056, 547, 5215, 540, 8039, 26311, 538, 1169, 8792, 269, 4634, 1498, 2098, 2089, 344, 543, 645, 32111, 5249, 24091, 267, 789, 4166, 7691, 602, 930, 3407, 4030, 3893, 4503, 1813, 547, 22406, 4320, 269, 590, 14823, 998, 865, 1454, 1239, 2968, 11566, 585, 519, 5363, 5918, 334, 780, 2414, 3025, 781, 9983, 267, 3079, 540, 20547, 2152, 267, 519, 6292, 1336, 2933, 16397, 269, 8616, 267, 713, 6397, 2490, 6026, 938, 15210, 8773, 25097, 513, 4105, 3992, 1107, 3006, 1932, 1454, 1344, 1522, 6531, 707, 1620, 269, 898, 4951, 873, 875, 1271, 1445, 543, 26724, 4247, 616, 950, 7231, 609, 7372, 14449, 269, 1656, 3976, 267, 2098, 2089, 344, 543, 645, 32111, 4797, 5355, 741, 1983, 267, 2141, 20678, 2509, 1818, 2631, 540, 2462, 2943, 6209, 25098, 540, 1702, 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, 27855, 513, 946, 2013, 585, 2067, 1893, 4393, 563, 20332, 1893, 4393, 666, 581, 1031, 538, 513, 3099, 540, 3156, 267, 971, 607, 12747, 17187, 8069, 267, 3684, 8144, 267, 1344, 23023, 267, 543, 1257, 2079, 269, 1280, 1383, 267, 621, 666, 581, 1031, 547, 1184, 6075, 8039, 267, 547, 3313, 18941, 543, 30387, 3584, 267, 610, 547, 1711, 1949, 602, 1174, 2067, 1893, 14511, 543, 4431, 609, 4143, 267, 4977, 1239, 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, 0, 8080, 547, 938, 5767, 3184, 782, 827, 2679, 8924, 585, 835, 540, 519, 1034, 2442, 5665, 1949, 856, 972, 910, 15692, 256, 1284, 3513, 4685, 883, 519, 1158, 540, 2870, 5863, 3156, 1210, 1945, 1572, 519, 15692, 7111, 4886, 14173, 267, 610, 27020, 298, 585, 2110, 269, 5213, 1405, 5855, 952, 621, 4992, 7294, 282, 676, 519, 1439, 540, 713, 3184, 267, 596, 3513, 581, 606, 4274, 2439, 5575, 1055, 267, 1577, 781, 2911, 827, 1018, 606, 813, 2965, 568, 269, 6056, 827, 707, 5172, 3756, 610, 2645, 593, 707, 6049, 610, 16979, 1765, 29006, 616, 782, 8924, 256, 1358, 2811, 3292, 2966, 4481, 585, 946, 593, 5985, 3457, 899, 16389, 543, 14342, 269, 3767, 4952, 1373, 2111, 547, 1711, 707, 1360, 1378, 813, 602, 2828, 267, 1920, 267, 610, 1256, 1004, 1472, 519, 1158, 1223, 2972, 256, 2334, 781, 1141, 519, 15692, 27020, 298, 2501, 538, 780, 763, 15692, 27020, 298, 2636, 9367, 547, 2328, 2694, 540, 741, 813, 1210, 4654, 824, 982, 10084, 267, 799, 568, 2356, 1031, 585, 1818, 15692, 8924, 269, 1635, 3257, 713, 267, 789, 666, 1569, 2027, 2934, 540, 519, 3926, 8800, 811, 3362, 267, 3056, 547, 1732, 2773, 543, 16830, 2360, 269, 898, 781, 2186, 540, 899, 2348, 1569, 547, 5728, 2706, 335, 10183, 950, 11256, 513, 14735, 1765, 5976, 891, 7060, 267, 596, 666, 1118, 707, 14735, 6492, 1256, 811, 8949, 610, 1413, 3063, 16681, 2439, 3086, 267, 1354, 17259, 883, 8193, 267, 1577, 781, 2263, 1946, 2576, 1131, 1616, 547, 1711, 606, 813, 538, 519, 1101, 1747, 269, 1703, 616, 6634, 540, 8924, 2139, 2221, 267, 855, 1705, 596, 917, 602, 936, 3368, 540, 782, 4950, 6808, 1631, 2501, 689, 5985, 3457, 286, 901, 1797, 602, 4213, 543, 3906, 540, 782, 7306, 616, 3168, 585, 3860, 2081, 547, 1921, 609, 1004, 998, 5985, 8924, 269, 12861, 3730, 267, 1187, 267, 610, 3872, 8924, 666, 1930, 909, 3255, 585, 596, 547, 13686, 707, 1983, 543, 2671, 707, 6612, 3785, 609, 1866, 780, 3383, 267, 875, 798, 649, 1205, 3323, 609, 1565, 827, 519, 15692, 27020, 298, 286, 3689, 267, 649, 3513, 3382, 519, 9238, 540, 4259, 909, 707, 1646, 1604, 269, 3973, 267, 649, 3513, 7930, 6338, 1883, 2035, 1247, 2324, 593, 2241, 2943, 2502, 1383, 3785, 1927, 269, 6969, 1279, 267, 596, 3513, 581, 13167, 707, 1360, 1378, 2189, 8924, 602, 1491, 5413, 540, 3388, 519, 15692, 27020, 298, 814, 547, 2709, 2439, 8855, 267, 1175, 899, 1022, 1007, 5578, 267, 2259, 2306, 3501, 269, 1924, 1810, 1405, 581, 12922, 547, 4603, 543, 2119, 1114, 1919, 2059, 519, 1259, 269, 5808, 6487, 32503, 1522, 3605, 513, 6456, 13007, 610, 6427, 519, 1985, 2462, 3364, 538, 5985, 8924, 256, 2913, 781, 7832, 593, 713, 3078, 3460, 540, 5876, 543, 6602, 1927, 269, 16258, 523, 707, 10160, 10964, 1206, 267, 10544, 707, 3206, 11503, 267, 543, 1577, 781, 3009, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 4415, 519, 2810, 1297, 540, 16335, 3755, 543, 519, 2208, 538, 519, 5665, 3301, 2361, 267, 519, 813, 2344, 568, 9750, 5488, 269, 24371, 543, 16904, 616, 12561, 5985, 813, 5867, 267, 1809, 547, 1628, 513, 3811, 5985, 813, 1870, 4640, 596, 1590, 1265, 519, 2626, 547, 875, 547, 1628, 606, 813, 286, 602, 666, 3142, 1871, 547, 707, 3059, 4640, 563, 2791, 991, 547, 581, 782, 1305, 609, 513, 3811, 5985, 813, 1646, 1935, 865, 707, 5304, 949, 3398, 707, 813, 269, 1411, 991, 547, 1246, 930, 3268, 547, 1265, 875, 547, 1118, 513, 5985, 813, 607, 829, 707, 1870, 2115, 563, 9213, 267, 649 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2830, 2784, 334, 815, 9930, 3691, 8548, 18553, 18622, 2897, 3488, 286, 3299, 15234, 3418, 1038, 9930, 3691, 8548, 18553, 6958, 2830, 2784, 334, 815, 9930, 3691, 8548, 18553, 6958, 2830, 2784, 334, 18622, 2897, 3488, 281, 3299, 15234, 3418, 1038, 678, 25917, 8548, 18553, 815, 15259, 29624, 12459, 7765, 22607, 727, 8548, 836, 553, 267, 9930, 3691, 8548, 18553, 6958, 2830, 2784, 334, 3418, 1038, 1948, 1820, 6600, 257, 290, 516, 18372, 24095, 320, 679, 2715, 337, 25917, 8548, 18553, 348, 14744, 1038, 952, 711, 263, 657, 29624, 20216, 1235, 16868, 25917, 8548, 18553, 264, 543, 15259, 29624, 18994, 323, 597, 16868, 25917, 8548, 18553, 264, 8029, 3546, 15259, 6230, 330, 323, 597, 263, 657, 29624, 269, 629, 4944, 987, 16868, 25917, 8548, 18553, 17903, 1038, 2132, 678, 25917, 8548, 18553, 5897, 825, 1219, 1212, 541, 6831, 541, 7065, 320, 318, 5115, 527, 25222, 4311, 267, 678, 25917, 8548, 18553, 267, 1698, 527, 25222, 8029, 1038, 952, 711, 263, 657, 29624, 20216, 1235, 263, 657, 29624, 12459, 7765, 16868, 25917, 8548, 18553, 267, 1698, 527, 25222, 4297, 543, 15259, 29624, 18994, 323, 597, 263, 657, 29624, 12459, 7765, 16868, 25917, 8548, 18553, 267, 1698, 527, 25222, 4297, 8029, 3546, 15259, 6230, 330, 323, 597, 263, 657, 29624, 12459, 7765, 16868, 25917, 8548, 18553, 267, 1698, 527, 25222, 264, 10142, 825, 1219, 1205, 318, 3650, 619, 4311, 8029, 1038, 2132, 27835, 27165, 5025, 7217, 9166, 1412, 300, 9926, 8759, 270, 276, 269, 271, 630, 21547, 842, 9655, 282, 27311, 5839, 13013, 2473, 476, 1015, 318, 1015, 318, 272, 264, 11197, 16158, 298, 527, 270, 276, 4391, 269, 3607, 630, 298, 12487, 7876, 267, 899, 2983, 1188, 334, 264, 24904, 270, 4375, 269, 271, 269, 24241, 272, 269, 4817, 6380, 926, 270, 276, 4391, 269, 3607, 262, 348 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 28602, 548, 454, 332, 1389, 561, 889, 268, 706, 321, 4992, 563, 16216, 264, 634, 1318, 28602, 548, 15450, 547, 519, 513, 677, 320, 1247, 519, 2451, 28602, 548, 15450, 454, 1729, 519, 2451, 693, 8922, 563, 4263, 686, 990, 550, 14152, 17901, 616, 1930, 454, 6357, 264, 950, 6091, 4579, 1996, 519, 15532, 563, 6262, 264, 950, 2566, 21560, 1973, 2095, 547, 1114, 15135, 540, 1698, 650, 2456, 563, 16732, 323, 264, 1282, 1019, 770, 1961, 563, 16216, 264, 1247, 519, 28602, 956, 616, 11319, 1973, 883, 519, 16209, 563, 26108, 2604, 7403, 4125, 454, 5416, 264, 6947, 547, 519, 834, 331, 889, 268, 706, 321, 257, 2295, 4992, 563, 16732, 321, 264, 6947, 585, 24360, 1973, 2095, 538, 606, 16050, 563, 6262, 264, 7403, 689, 15532, 563, 5560, 264, 5122, 7403, 689, 2295, 4887, 563, 16216, 264, 18337, 21271, 454, 11328, 5632, 730, 25923, 3180, 2295, 4887, 2281, 1927, 269, 1548, 824, 1599, 454, 4777, 789, 4196, 888, 5416, 264, 1358, 948, 538, 519, 7503, 540, 2910, 273, 7132, 670, 273, 302, 547, 670, 273, 4596, 274, 563, 6357, 264, 1358, 1450, 31613, 19221, 538, 19473, 4592, 13406, 5328, 29693, 13196, 563, 16732, 322, 264, 1358, 1450, 5122, 4276, 676, 7934, 15118, 2388, 563, 5560, 264, 1358, 1832, 1973, 689, 13576, 23651, 1282, 5887, 14152, 19432, 563, 16216, 264, 1358, 3180, 1930, 513, 13148, 6806, 18337, 16050, 563, 16978, 3740, 2534, 538, 519, 2295, 2356, 6238, 538, 519, 454, 16732, 320, 264, 14408, 6843, 563, 6357, 264, 17422, 16209, 563, 5560, 264, 1199, 1638, 320, 540, 519, 2634, 563, 16216, 264, 2587, 2088, 533, 10725, 529, 563, 763, 2165, 585, 1932, 2370, 1973, 2095, 585, 7850, 5135, 6765, 568, 454, 8649, 874, 28992, 543, 20641, 454, 288, 264, 723, 513, 1079, 7302, 3711, 1229, 2295, 563, 265, 289, 264, 723, 513, 1614, 7302, 3711, 1229, 2295, 563, 290, 264, 723, 606, 1930, 30057, 1062, 899, 606, 5521, 563, 291, 264, 723, 2789, 12271, 899, 606, 3618, 11988, 563, 292, 264, 798, 711, 723, 513, 15466, 1062, 563, 1692, 568, 519, 2179, 540, 1973, 2095, 547, 519, 1114, 31479, 15135, 540, 519, 1560, 454, 288, 264, 676, 17901, 454, 289, 264, 676, 519, 19548, 16794, 454, 290, 264, 676, 519, 2450, 540, 519, 15532, 454, 265, 291, 264, 676, 5347, 4887, 540, 12091, 2723, 525, 454, 292, 264, 676, 7378, 454, 13312, 770, 4301, 543, 30918, 4301, 1973, 12503, 454, 288, 264, 616, 689, 11528, 543, 17422, 6933, 725, 6606, 563, 289, 264, 616, 689, 693, 6319, 543, 28602, 956, 6606, 563, 290, 264, 1058, 581, 519, 1482, 607, 1142, 1278, 538, 2635, 1004, 563, 291, 264, 616, 6027, 689, 15532, 563, 265, 292, 264, 616, 6027, 689, 16209, 563, 26524, 1031, 538, 476, 1220, 274, 11341, 547, 713, 7291, 454, 26108, 4422, 689, 519, 1318, 28602, 548, 547, 519, 454, 5416, 264, 17422, 18916, 563, 16732, 321, 264, 17422, 16050, 563, 5560, 264, 642, 6511, 524, 6072, 563, 16216, 264, 1318, 693, 8922, 563, 5416, 264, 6971, 31613, 563, 6357, 264, 6971, 25928, 563, 6262, 264, 1964, 2803, 519, 2295, 10726, 563, 16732, 323, 264, 6933, 919, 5135, 730, 1973, 547, 519, 2634, 563, 16216, 264, 11151, 19473, 29912, 563, 7628, 693, 7434, 543, 5887, 14152, 1019, 770, 1961, 454, 16732, 320, 264, 20724, 17901, 630, 339, 878, 639, 3671, 543, 536, 16307, 3671, 17901, 264, 616, 1930, 563, 6357, 264, 5033, 559, 12762, 17901, 616, 1930, 563, 6262, 264, 519, 1627, 11965, 1950, 540, 519, 10566, 294, 568, 6383, 563, 5560, 264, 28602, 956, 4579, 563, 16216, 264, 1973, 2604, 6027, 609, 513, 524, 4428, 593, 519, 6186, 568, 5207, 563, 763, 14408, 6843, 454, 5416, 264, 666, 723, 922, 561, 18210, 24571, 3022, 676, 513, 24405, 639, 538, 513, 2295, 4323, 563, 16732, 321, 264, 4384, 919, 519, 5122, 2534, 538, 519, 2295, 10726, 563, 6262, 264, 3340, 513, 8229, 4276, 267, 543, 519, 2295, 1131, 3247, 538, 4049, 29887, 563, 5560, 264, 568, 519, 851, 540, 519, 2634, 602, 22262, 7244, 950, 744, 273, 568, 1970, 563, 16216, 264, 13462, 519, 20968, 31726, 547, 519, 18751, 30783, 563, 1692, 1281, 5122, 29835, 3262, 2429, 519, 2295, 888, 5416, 264, 3842, 9842, 332, 3941, 332, 1092, 454, 6357, 264, 676, 30088, 454, 6262, 264, 676, 17727, 4157, 1231, 454, 16732, 323, 264, 676, 7934, 15118, 2388, 454, 16216, 264, 676, 11409, 454, 27987, 547, 12713, 476, 8099, 28924, 16086, 454, 27987, 547, 853, 1046, 5851, 8525, 454, 10472, 2985, 729, 2063, 8242, 476, 279, 270, 1724, 270, 6021, 0, 15578, 7246, 12087, 700, 8577, 2177, 281, 700, 10976, 292, 590, 2177, 14899, 454, 3963, 568, 519, 7377, 5152, 971, 513, 1455, 5420, 585, 11589, 4606, 827, 2648, 267, 543, 875, 798, 1367, 8964, 9305, 547, 741, 3140, 8090, 888, 763, 2648, 5152, 814, 1044, 1472, 585, 5215, 540, 1296, 543, 11478, 538, 12303, 1169, 2528, 281, 15998, 540, 2648, 8964, 543, 11430, 878, 6965, 31960, 593, 13099, 344, 6350, 543, 20077, 538, 6149, 7639, 689, 3504, 10255, 543, 5527, 269, 19744, 5538, 21112, 2293, 3501, 539, 519, 1148, 540, 1603, 543, 13465, 827, 4998, 1242, 2648, 269, 28709, 25803, 5559, 520, 1242, 15832, 538, 2575, 269, 2549, 5387, 1612, 3271, 8964, 5129, 513, 1909, 538, 10470, 4721, 563, 4517, 540, 1576, 267, 2648, 8964, 616, 513, 20856, 675, 538, 4207, 7574, 2528, 269, 1635, 1034, 9193, 267, 789, 723, 1500, 909, 519, 5354, 540, 8964, 593, 519, 8560, 12125, 2429, 519, 476, 736, 628, 2540, 543, 883, 519, 476, 2641, 560, 269, 4053, 5974, 2324, 538, 1169, 2101, 9135, 540, 1977, 2442, 2575, 31251, 28477, 267, 27227, 267, 7377, 267, 13474, 267, 681, 20263, 543, 2349, 1132, 267, 543, 9412, 543, 24305, 2443, 723, 3812, 8964, 827, 2648, 269, 634, 3099, 540, 4798, 568, 13974, 3376, 267, 21214, 1082, 1114, 3344, 540, 543, 5380, 593, 3347, 267, 689, 2530, 543, 1279, 532, 547, 4126, 543, 29681, 563, 305, 1442, 543, 24305, 2648, 8964, 27836, 1454, 689, 741, 3140, 21530, 25600, 267, 855, 789, 849, 6542, 875, 2686, 2093, 827, 2648, 267, 3023, 267, 543, 3347, 1689, 936, 942, 269, 1715, 7574, 6163, 1459, 3255, 547, 1935, 606, 2025, 1641, 538, 1007, 2081, 267, 543, 519, 3006, 986, 1075, 748, 4992, 540, 9412, 543, 24305, 1500, 7357, 1007, 2010, 540, 8964, 827, 2648, 2009, 563, 1103, 713, 3992, 267, 1053, 786, 6432, 547, 1806, 540, 2648, 8964, 689, 1896, 7574, 6163, 543, 3140, 8090, 269, 634, 2238, 616, 2966, 547, 2263, 875, 2575, 543, 18405, 960, 1927, 547, 2769, 1114, 27742, 4724, 2648, 543, 3347, 563, 21581, 3817, 281, 27439, 14858, 653, 601, 514, 910, 9442, 16505, 6658, 630, 3422, 280, 264, 1923, 623, 3430, 328, 8525, 910, 2060, 3733, 28438, 22453, 7046, 267, 594, 6415, 14134, 532, 630, 4198, 280, 264, 1923, 634, 4469, 5446, 657, 910, 14348, 594, 2142, 595, 11538, 630, 4198, 277, 264, 1923, 667, 542, 4144, 300, 25458, 328, 910, 8535, 607, 513, 10158, 4934, 1923, 15776, 2917, 717, 648, 910, 1411, 5213, 1405, 13574, 2725, 630, 3422, 274, 994, 6826, 2111, 547, 630, 12921, 1571, 2187, 296, 666, 1405, 581, 14084, 454, 4692, 1405, 596, 1294, 602, 594, 6415, 24986, 454, 25898, 581, 594, 24986, 454, 2252, 594, 941, 14084, 547, 596, 454, 7069, 2295, 568, 827, 547, 2736, 454, 296, 26845, 1818, 1250, 12161, 454, 7069, 2648, 585, 596, 17236, 519, 1482, 454, 4517, 1250, 17229, 666, 1405, 2322, 856, 519, 18723, 454, 20756, 267, 8004, 267, 594, 3893, 1945, 594, 1589, 596, 11129, 547, 917, 563, 20756, 267, 3777, 324, 267, 594, 530, 13860, 2995, 596, 602, 594, 2648, 596, 865, 563, 296, 530, 13860, 3180, 596, 538, 1250, 7916, 267, 9493, 1695, 2336, 296, 6557, 2760, 27613, 1577, 596, 979, 267, 11313, 322, 1021, 594, 899, 707, 1347, 916, 563, 16485, 1053, 547, 2328, 741, 1378, 2648, 5152, 18405, 267, 1210, 519, 8964, 538, 713, 3992, 607, 3631, 269, 3689, 1053, 1590, 6430, 945, 786, 581, 6340, 543, 547, 7247, 610, 1018, 519, 5152, 786, 581, 9619, 630, 320, 7911, 23136, 17320, 20071, 23136, 267, 1920, 4759, 267, 3659, 267, 4620, 267, 1256, 513, 1747, 1040, 2991, 1603, 519, 18405, 267, 789, 1058, 2328, 513, 2110, 6609, 540, 519, 2575, 789, 4952, 1522, 5838, 519, 5048, 540, 519, 5152, 281, 568, 621, 10978, 610, 2571, 286, 16258, 610, 3500, 286, 1548, 7405, 1522, 519, 12372, 946, 888, 31955, 543, 19396, 3367, 1465, 7335, 31745, 528, 11621, 585, 24110, 476, 277, 268, 1321, 585, 9085, 543, 22252, 1049, 7956, 454, 31955, 543, 19396, 3367, 1465, 31745, 528, 11621, 585, 24935, 543, 23016, 585, 24110, 476, 277, 268, 1321, 454, 290, 648, 8535, 9208, 281, 29594, 532, 454, 15675, 281, 7994, 2575, 3617, 585, 513, 1808, 3483, 610, 2796, 563, 22860, 2763, 281, 21302, 875, 519, 2497, 543, 2796, 540, 9867, 7574, 1568, 1217, 519, 3210, 563, 11328, 13133, 281, 8081, 12496, 540, 7574, 1568, 602, 2992, 15888, 262, 543, 5924, 22407, 262, 22192, 8247, 563, 24066, 10663, 281, 8081, 20241, 540, 7574, 1568, 543, 12644, 1759, 593, 2079, 267, 7664, 267, 543, 3964, 7355, 563, 290, 648, 8535, 9208, 281, 4045, 532, 454, 21010, 532, 476, 1556, 281, 4039, 622, 7574, 2093, 543, 1568, 547, 9867, 8658, 543, 3232, 1272, 547, 15052, 1620, 269, 0, 763, 5678, 540, 519, 31001, 454, 288, 22062, 566, 609, 25795, 10937, 717, 574, 8117, 553, 454, 2421, 6276, 18120, 749, 454, 300, 926, 10937, 717, 574, 8117, 553, 267, 1912, 6185, 1421, 568, 900, 518, 7978, 7548, 540, 3864, 26337, 693, 519, 2160, 540, 4993, 267, 11968, 13353, 267, 543, 4354, 1807, 540, 6196, 2622, 26337, 693, 519, 17459, 6369, 7467, 540, 8836, 3778, 269, 2701, 568, 519, 2278, 540, 811, 982, 8938, 2835, 267, 1519, 634, 31001, 525, 543, 29331, 540, 6196, 2342, 543, 634, 5678, 540, 519, 31001, 269, 769, 1010, 4464, 547, 519, 8545, 960, 267, 9478, 23720, 3081, 912, 2026, 14639, 6363, 3757, 1723, 529, 19598, 3326, 542, 267, 513, 2540, 543, 513, 3368, 3516, 267, 998, 1010, 21264, 618, 540, 519, 14472, 24297, 12942, 729, 2111, 547, 3715, 513, 29395, 540, 9246, 30735, 545, 4191, 547, 4196, 607, 10569, 547, 519, 2898, 1390, 1726, 21204, 540, 12266, 3909, 2219, 689, 524, 269, 476, 17168, 271, 645, 5861, 269, 547, 519, 1974, 540, 519, 623, 1729, 12661, 625, 267, 865, 538, 1200, 31174, 720, 267, 8760, 267, 543, 10855, 7664, 540, 930, 1079, 8536, 12572, 13742, 689, 519, 9998, 32665, 8498, 4609, 540, 2342, 267, 524, 269, 476, 10384, 271, 547, 476, 12573, 271, 645, 5861, 1421, 25795, 10937, 717, 574, 583, 553, 814, 1044, 2111, 267, 711, 1152, 547, 5965, 513, 4909, 29395, 540, 3182, 3645, 18305, 607, 10569, 547, 519, 13299, 540, 602, 6382, 3768, 29545, 5736, 267, 855, 849, 547, 3715, 593, 519, 4493, 540, 891, 14648, 4191, 519, 1292, 3515, 543, 4798, 540, 4984, 538, 9006, 3130, 267, 1312, 540, 519, 7122, 607, 519, 2713, 1560, 540, 513, 31001, 5336, 1278, 29763, 267, 543, 540, 782, 519, 2713, 1919, 1369, 621, 607, 851, 1136, 540, 1200, 2820, 6541, 7498, 300, 926, 10937, 717, 574, 8117, 553, 11099, 1352, 814, 6169, 540, 606, 3504, 3864, 31001, 15129, 10340, 602, 5030, 538, 4708, 267, 538, 10103, 609, 2470, 267, 543, 609, 513, 1164, 4110, 540, 2804, 267, 1514, 543, 4638, 7862, 267, 922, 15831, 19721, 1148, 27109, 513, 11495, 9000, 540, 2592, 540, 13137, 543, 5256, 28735, 269, 898, 729, 22983, 676, 10728, 21475, 26049, 9930, 6758, 689, 519, 6739, 2848, 653, 525, 945, 26902, 5792, 513, 17500, 2696, 267, 3131, 684, 267, 634, 22367, 12027, 267, 945, 6770, 4764, 547, 2250, 999, 543, 5546, 519, 7122, 609, 3571, 2909, 1233, 344, 7916, 543, 17500, 17200, 563, 4517, 875, 1705, 1261, 6752, 621, 286, 1261, 3576, 30832, 1782, 23898, 267, 3043, 17633, 1141, 538, 4158, 12424, 525, 519, 31001, 1185, 1095, 3660, 585, 1984, 29646, 267, 2898, 14252, 267, 31523, 16873, 267, 7242, 3098, 267, 5159, 556, 14765, 6005, 538, 519, 1139, 548, 5898, 540, 741, 2021, 267, 15472, 17873, 4963, 743, 532, 519, 3595, 2507, 663, 1261, 4956, 547, 1118, 873, 3501, 563, 3891, 695, 13593, 873, 269, 2060, 1100, 9604, 610, 669, 926, 1824, 547, 2149, 2933, 267, 789, 546, 2331, 538, 10205, 547, 3571, 2575, 269, 634, 555, 13681, 540, 561, 2373, 9991, 547, 519, 2666, 267, 695, 686, 4060, 540, 2021 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 12016, 4298, 2955, 519, 2601, 585, 1200, 3527, 269, 4256, 946, 538, 519, 8808, 1184, 568, 27146, 3320, 547, 1463, 519, 12016, 18549, 547, 519, 7817, 779, 2640, 16638, 4879, 5123, 267, 1142, 540, 519, 4857, 476, 2641, 8808, 2042, 4143, 1239, 732, 6394, 269, 634, 16765, 610, 1071, 3200, 2470, 540, 519, 2042, 19329, 513, 1463, 610, 785, 1311, 1935, 267, 6606, 1280, 7151, 519, 16765, 1966, 540, 9422, 560, 9850, 666, 581, 12290, 676, 1463, 3800, 540, 2597, 267, 1426, 6981, 543, 7853, 2450, 267, 6466, 519, 1071, 3200, 1966, 540, 4509, 513, 9354, 523, 1444, 3340, 811, 9940, 1935, 547, 1239, 6394, 269, 634, 8808, 2889, 21793, 666, 581, 5258, 883, 1346, 602, 616, 2596, 547, 782, 7218, 543, 1346, 602, 10915, 937, 4264, 267, 1121, 539, 658, 610, 29260, 1416, 2115, 12991, 2720, 532, 5868, 281, 568, 519, 1267, 540, 1239, 4015, 1131, 3313, 519, 7817, 779, 14588, 6900, 16765, 543, 5924, 1071, 3200, 2042, 269, 1452, 1808, 2042, 1131, 1917, 4981, 539, 896, 835, 610, 811, 540, 519, 6626, 8808, 2042, 16638, 4058, 5123, 540, 8808, 1184, 267, 1200, 6898, 540, 8808, 2042, 1034, 29148, 569, 18613, 3804, 6898, 269, 4475, 267, 2899, 519, 1966, 814, 1044, 454, 10972, 30938, 267, 519, 3853, 723, 1044, 3964, 269, 3509, 540, 519, 8808, 2042, 6898, 666, 581, 2808, 3853, 585, 2901, 519, 12016, 610, 519, 7817, 269, 769, 6388, 267, 12016, 1210, 519, 3853, 607, 519, 5943, 267, 513, 1544, 568, 2919, 543, 3617, 8808, 6304, 616, 5462, 269, 11088, 2868, 1143, 11148, 547, 581, 2258, 730, 538, 6388, 1317, 540, 519, 9678, 1880, 2470, 540, 519, 8808, 2042, 269, 16214, 281, 634, 1544, 568, 11117, 538, 2474, 540, 7817, 779, 3356, 610, 3668, 540, 3356, 4724, 519, 9740, 540, 519, 3853, 269, 19869, 749, 1695, 779, 4518, 543, 18567, 540, 7869, 28636, 666, 954, 7758, 622, 2035, 538, 971, 513, 1259, 607, 547, 1711, 513, 1114, 1259, 540, 3168, 693, 513, 1880, 9259, 269, 476, 272, 269, 19869, 749, 1695, 267, 3069, 814, 954, 22366, 2035, 540, 1072, 267, 8808, 2042, 543, 1966, 6061, 607, 1352, 8942, 547, 1711, 513, 1114, 1259, 540, 13156, 8808, 9259, 269, 634, 2164, 519, 3948, 602, 8808, 568, 519, 946, 540, 519, 1966, 268, 6061, 1935, 609, 1883, 8808, 2042, 1644, 547, 519, 1072, 2115, 540, 519, 1004, 269, 476, 273, 269, 11933, 3749, 3948, 4025, 5230, 8561, 593, 1966, 9010, 606, 2534, 602, 568, 20244, 9266, 538, 2470, 269, 274, 269, 7869, 568, 17729, 547, 581, 3908, 547, 946, 799, 4667, 547, 1445, 3833, 8185, 593, 333, 2720, 532, 2259, 609, 2043, 269, 7869, 1281, 711, 1683, 519, 5943, 593, 16058, 543, 2486, 538, 2489, 269, 901, 10169, 7182, 519, 2702, 547, 2489, 1125, 267, 24392, 519, 1966, 6061, 1935, 11593, 2489, 14184, 547, 7218, 609, 14588, 6900, 1072, 2115, 543, 1808, 8808, 1966, 269, 275, 269, 2290, 540, 519, 1034, 1271, 2055, 602, 14340, 950, 6236, 1200, 960, 568, 519, 14337, 540, 519, 7817, 1369, 519, 5943, 267, 513, 2243, 602, 1223, 5352, 19165, 1721, 4152, 269, 634, 2164, 540, 4152, 971, 8367, 1131, 3565, 547, 519, 2489, 7853, 540, 8808, 1702, 269, 276, 269, 19869, 7578, 779, 1966, 9010, 1935, 666, 3362, 581, 1031, 676, 9439, 547, 3391, 341, 13895, 2238, 1369, 741, 8808, 2259, 269, 901, 568, 2523, 3020, 950, 454, 4621, 18790, 8808, 2259, 602, 9388, 609, 7218, 945, 723, 1808, 2115, 543, 14588, 6900, 1966, 269, 277, 269, 19869, 749, 1695, 3069, 5812, 609, 824, 24019, 6436, 267, 971, 607, 1346, 540, 300, 553, 869, 338, 543, 26673, 3205, 269, 4014, 519, 11007, 6818, 267, 1082, 2055, 2611, 684, 753, 26833, 9950, 1998, 6672, 540, 7869, 634, 1462, 1108, 568, 1360, 2241, 543, 568, 10855, 540, 8808, 2042, 2219, 1729, 581, 1455, 1851, 2550, 269, 634, 2035, 540, 8808, 267, 8808, 2042, 267, 543, 519, 2889, 12378, 9010, 1184, 267, 799, 616, 3844, 547, 713, 960, 267, 616, 3989, 12799, 269, 634, 935, 32383, 540, 1268, 267, 1072, 267, 543, 1604, 267, 799, 616, 2404, 609, 519, 8808, 1706, 611, 10176, 2221, 267, 616, 22466, 269, 1703, 616, 1100, 7150, 3347, 1063, 19869, 749, 1695, 779, 332, 1994, 2035, 610, 1346, 540, 519, 8808, 17565, 538, 1200, 1603, 269, 901, 2203, 814, 620, 574, 1243, 1297, 540, 2035, 267, 543, 922, 1152, 2497, 568, 513, 1592, 269, 589, 10169, 6404, 1935, 547, 1523, 4214, 568, 1459, 538, 713, 960, 12991, 2720, 532, 543, 8808, 2042, 616, 25664, 8271, 3989, 267, 1247, 519, 1966, 9010, 1184, 568, 3989, 3954, 582, 8271, 269, 1452, 4485, 547, 8847, 798, 711, 572, 655, 547, 1033, 847, 689, 519, 9355, 540, 8847, 269, 634, 1462, 1108, 1281, 711, 2943, 13822, 320, 3069, 1317, 621, 19330, 6190, 2078, 6898, 269, 634, 476, 2641, 8808, 2889, 21793, 616, 2489, 543, 5532, 547, 9444, 942, 6862, 1604, 269, 968, 9515, 871, 852, 1194, 2471, 602, 1200, 1592, 568, 9444, 29882, 6862, 7396, 2687, 547, 14422, 1848, 10112, 11167, 602, 7606, 1995, 2147, 2115, 267, 519, 8808, 3853, 7150, 538, 519, 1592, 1993, 476, 2641, 2042, 1223, 581, 1031, 676, 11923, 538, 1022, 942, 7406, 547, 2743, 2550, 685, 2115, 269, 4913, 267, 2687, 547, 713, 2203, 267, 930, 7606, 798, 711, 991, 8808, 269, 4033, 3028, 22825, 1223, 946, 519, 1462, 1108, 540, 476, 2641, 8808, 2042, 547, 325, 1371, 593, 519, 26447, 543, 3929, 2115, 4843, 676, 2550, 269, 634, 3853, 540, 10472, 2203, 4268, 538, 1252, 1275, 269, 634, 3376, 652, 3804, 568, 547, 9797, 1860, 8808, 25531, 267, 1247, 1016, 3853, 616, 547, 1683, 513, 3621, 4493, 593, 799, 547, 2259, 543, 1729, 1683, 513, 1505, 540, 12007, 6268, 540, 3872, 2833, 585, 29324, 269, 634, 3853, 616, 3617, 585, 8808, 269, 3040, 634, 2035, 616, 1360, 1808, 609, 12170, 8100, 602, 616, 3362, 30753, 269, 634, 2035, 616, 1369, 519, 6389, 540, 8808, 269, 27973, 3095, 720, 540, 454, 1492, 2035, 543, 519, 1462, 1108, 547, 4641, 568, 6281, 547, 606, 31602, 1935, 547, 3069, 1646, 269, 4406, 9179, 540, 519, 1462, 1108, 729, 2944, 676, 519, 12200, 540, 476, 2412, 1908, 326, 5573, 3506, 540, 8808, 269, 634, 1462, 1108, 3177, 513, 2489, 5943, 538, 799, 547, 957, 267, 855, 4797, 9444, 1808, 8808, 3527, 6862, 3461, 19721, 4093, 267, 5103, 519, 2140, 540, 519, 1433, 269, 1717, 267, 1079, 7766, 12326, 1705, 2232, 6364, 3800, 630, 324, 977, 4632, 264, 543, 6700, 3631, 585, 12180, 21195, 547, 11168, 3461, 19721, 4093, 269, 31453, 585, 17548, 519, 2956, 540, 8808, 519, 2898, 3461, 267, 2221, 779, 2856, 540, 2868, 1143, 568, 711, 7805, 538, 713, 960, 269, 634, 1983, 1592, 2882, 1983, 2219, 2556, 585, 11923, 547, 2743, 2550, 685, 2115, 855, 568, 711, 1095, 20696, 269, 19869, 749, 1695, 5267, 8808, 1382, 607, 513, 1505, 585, 4570, 908, 5574, 4724, 6571, 540, 2550, 685, 2115, 269, 634, 8561, 593, 1966, 9010, 568, 711, 3908, 676, 942, 610, 2230, 543, 4061, 2488, 513, 1797, 585, 4797, 2208, 543, 1689, 538, 519, 11865, 540, 8808, 1416, 269, 634, 1966, 9010, 1184, 543, 519, 1462, 1108, 540, 8808, 2042, 666, 581, 6606, 2808, 840, 15479, 832, 540, 519, 8808, 1416, 1184, 543, 8760, 540, 8808, 21904, 538, 2963, 2221, 269, 769, 21111, 7266, 516, 1042, 22604, 547, 16711, 5516, 267, 19869, 749, 1695, 9619, 8808, 2069, 2042, 5532, 547, 519, 946, 540, 519, 2564, 2203, 269, 4173, 1462, 1108, 3177, 513, 1007, 1259, 547, 12007, 569, 6218, 2833, 543, 15091, 513, 2259, 1759, 593, 3280, 7787, 525, 2864, 982, 4063, 269, 968, 9515, 23083, 602, 11923, 1223, 1491, 513, 5718, 1909, 538, 1818, 519, 1857, 3222, 602, 2298, 8808, 1072, 1416, 568, 2139, 269, 10866, 568, 3989, 607, 519, 1416, 602, 519, 3461, 2115, 269, 10261, 568, 5462, 676, 513, 8760, 1062, 602, 14439, 519, 2564, 2126, 543, 8808, 1416, 1898, 585, 602, 1367, 1848, 19869, 749, 1695, 814, 1500, 1713, 7418, 547, 3461, 1416, 267, 2069, 267, 543, 1382, 8808, 543, 1072, 1416, 538, 713, 2197, 543, 2429, 519, 1158, 269, 715, 7838, 306, 5058, 667, 8656, 294, 301, 5308, 3041, 769, 324, 8997, 7244, 4806, 1644, 547, 29998, 15577, 540, 13487, 4887, 607, 23576, 676, 946, 540, 1569, 800, 6091, 454, 296, 928, 8997, 21572, 24999, 1644, 547, 5728, 687, 538, 519, 11487, 14024, 607, 23576, 676, 513, 19895, 738, 566, 15214, 750, 8926, 1644, 547, 12982, 1184, 607, 23576, 676, 2837, 4879, 2271, 16260, 1377, 4083, 607, 23576, 676, 2799, 2295, 2557, 1310, 6972, 1955, 29446, 9422, 4567, 1447, 982, 1560, 10421, 1644, 547, 1447, 6981, 540, 1426, 607, 23576, 676, 670, 321, 1377, 5940, 32328, 3207, 4806, 1644, 547, 7362, 16531, 607, 23576, 676, 2810, 29338, 15310, 8982, 1644, 547, 2333, 2168, 11851, 542, 607, 23576, 676, 7362, 16531, 17520, 7646, 267, 1644, 547, 17499, 4655, 827, 2418, 540, 1272, 607, 23576, 676, 25091, 14242, 899, 11132, 8082, 4347, 17087, 1702, 9354, 20786, 1644, 547, 25619, 1246, 909, 607, 23576, 676, 1875, 10220, 540, 6527, 769, 324, 8997, 1909, 2773, 1644, 547, 2242, 538, 2168, 1072, 607, 23576, 676, 1689, 538, 8912, 3270, 540, 5539, 13595, 4578, 2433, 21111, 1290, 680, 11989, 267, 968, 594, 993, 2348, 7411, 538, 7244, 892, 20638, 4578, 2433, 3461, 5654, 20585, 267, 14221, 267, 14126, 267, 543, 2348, 2799, 7929, 2557, 269, 16711, 23369, 2433, 769, 324, 8997, 7244, 4806, 1644, 547, 29998, 15577, 540, 13487, 4887, 607, 23576, 676, 946, 540, 1569, 800, 6091, 1401, 4624, 6364, 2433, 21111, 786, 3715, 2500, 7929, 4806, 12020, 23840, 21929, 324, 16214, 454, 10112, 612, 7218, 1849, 1304, 3928, 476, 273, 538, 519, 1677, 2697, 637, 21732, 2557, 9168, 645, 3073, 15977, 1239, 6748, 7988, 333, 4141, 320, 7121, 10253, 7051, 3933, 527, 1819, 5135, 1677, 13209, 12507, 3218, 13487, 25294, 1377, 568, 476, 279, 334, 4110, 1055, 4233, 2090, 4939, 7929, 14207, 3849, 2381, 3563, 476, 275, 26569, 619, 540, 744, 273, 23682, 4723, 607, 13950, 607, 1677, 2087, 26078, 8282, 676, 11311, 25294, 1377, 3414, 782, 519, 338, 539, 334, 2758, 3800, 3461, 779, 8556, 1229, 607, 7244, 4806, 568, 3849, 2381, 3563, 11311, 1677, 21079, 4824, 607, 23576, 4364, 1709, 607, 17588, 1723, 8920, 1807, 5061, 7244, 676, 5135, 25294, 26078, 8282, 676, 7411, 1377, 568, 476, 3445, 260, 4777, 2758, 1849, 1304, 568, 9415, 547, 2697, 519, 1677, 2569, 519, 21886, 5971, 1582, 3510, 543, 2057, 24913, 540, 817, 20156, 1299, 2566, 6721, 2295, 1299, 555, 1380, 2096, 9154, 3510, 11151, 2006, 1771, 28658, 1234, 817, 612, 539, 519, 7244, 1377, 568, 1677, 917, 519, 3725, 817, 612, 3339, 2073, 5135, 2783, 540, 519, 321, 805, 3107, 4806, 25294, 1377, 3461, 2799, 547, 476, 3445, 260, 20428, 4578, 2433, 21111, 1290, 680, 11989, 267, 968, 594, 993, 2348, 2352, 538, 2503, 2610, 540, 338, 1584, 636, 7536, 29020, 4578, 2433, 3461, 568, 2348, 2352, 547, 1163, 601, 519, 838, 583, 636, 267, 20585, 2073, 24852, 12991, 2720, 532, 23369, 2433, 769, 324, 8997, 21572, 24999, 1644, 547, 5728, 687, 538, 519, 11487, 14024, 513, 572, 341, 573, 10642, 676, 513, 19895, 738, 566, 269, 2750, 4624, 6364, 2433, 7817, 786, 2503, 28672, 5728, 687, 1299, 2226, 14664, 21572, 12020, 23840, 21929, 324, 16214, 10112, 612, 2702, 547, 2149, 1378, 1849, 1304, 568, 2111, 547, 2149, 1677, 917, 15977, 3414, 1515, 3118, 21572, 855, 23472, 1239, 269, 891, 3003, 4674, 568, 23696, 543, 3800, 24066, 10663, 2179, 1299, 1826, 540, 8572, 547, 1163, 601, 838, 583, 636, 269, 7817, 572, 4038, 687, 1373, 3812, 1677, 2708, 519, 9738, 10555, 687, 568, 7050, 7411, 538, 2312, 17809, 728, 1697, 2990, 1299, 20202, 4509, 21572, 607, 21572, 23576, 12054, 328, 535, 578, 2401, 779, 2990, 676, 24876, 2503, 528, 656, 607, 11311, 3177, 1210, 1394, 772, 1440, 697, 2990, 21022, 1964, 269, 6703, 11523, 956, 593, 7929, 513, 19895, 738, 26559, 288, 19895, 738, 622, 7362, 4992, 1310, 8556, 1229, 1599, 676, 946, 540, 562, 269, 611, 2381, 3563, 532, 2503, 528, 656, 2503, 528, 656, 4295, 343, 21360, 8904, 476, 276, 6447, 5711, 607, 11311, 5938, 778, 827, 7244, 21673, 528, 656, 16303, 9052, 267, 5083, 539, 9067, 7244, 2201, 513, 19895, 738, 566, 267, 12954, 1410, 9052, 269, 11523, 956, 4389, 19357, 658, 5728, 687, 3725, 817, 612, 7244, 4806, 570, 4381, 2620, 7244, 1677, 2708, 519, 1299, 23472, 3635, 267, 7145, 540, 5083, 539 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 799, 2636, 803, 547, 1205, 547, 824, 5904, 563, 268, 634, 5767, 4528, 814, 606, 23666, 1947, 3593, 7888, 8818, 563, 268, 1284, 946, 4757, 547, 8818, 609, 938, 5561, 563, 268, 1284, 991, 513, 20501, 8818, 1063, 2359, 543, 519, 13781, 269, 0, 3963, 616, 519, 16548, 585, 6963, 865, 4057, 888, 2005, 6140, 2501, 1524, 547, 519, 10966, 7040, 543, 2797, 26445, 269, 26681, 729, 606, 1271, 3815, 585, 811, 982, 3368, 513, 2540, 1310, 519, 1101, 5859, 8804, 15024, 941, 5293, 538, 476, 5002, 278, 543, 476, 4489, 271, 269, 4438, 602, 3368, 10601, 267, 519, 5480, 5129, 1152, 513, 1507, 1909, 538, 5859, 8804, 1876, 267, 543, 851, 16388, 26445, 538, 6837, 729, 19394, 689, 513, 1164, 1448, 538, 519, 476, 6245, 271, 338, 269, 4653, 519, 10966, 7040, 2531, 7149, 519, 3390, 543, 18322, 1308, 26445, 814, 8854, 1394, 547, 13524, 10601, 2157, 563, 290, 2086, 5218, 8804, 814, 1831, 8499, 16324, 1242, 267, 513, 2165, 1031, 547, 4766, 513, 3510, 538, 799, 1883, 3664, 593, 21739, 2797, 2152, 616, 1500, 676, 16488, 2864, 982, 9777, 2209, 563, 297, 644, 2772, 1436, 3459, 609, 21207, 2917, 267, 799, 729, 19942, 1524, 538, 476, 3192, 277, 267, 950, 26445, 729, 4098, 547, 2333, 269, 634, 5480, 1185, 1831, 811, 15061, 896, 519, 29337, 7245, 267, 543, 621, 1500, 606, 1256, 5857, 704, 2490, 547, 519, 1318, 896, 6723, 654, 269, 17312, 269, 634, 21662, 5480, 568, 519, 1034, 15061, 835, 649, 723, 2938, 2094, 519, 476, 4350, 271, 338, 267, 543, 1614, 540, 922, 5216, 630, 553, 540, 713, 1603, 264, 1175, 1182, 1765, 23961, 1206, 267, 1325, 17010, 267, 543, 7338, 1765, 732, 1851, 519, 2947, 1034, 15061, 1175, 1182, 547, 1694, 593, 519, 5480, 538, 602, 942, 269, 630, 763, 3735, 10456, 2480, 26515, 729, 849, 835, 540, 519, 2947, 1034, 15061, 1175, 1182, 4700, 1321, 454, 3528, 519, 942, 5518, 6723, 654, 269, 17312, 12912, 3627, 717, 269, 21662, 543, 15656, 1325, 17010, 547, 519, 5480, 267, 851, 16388, 26445, 538, 6837, 729, 3152, 982, 693, 1022, 824, 942, 538, 2413, 1686, 269, 6837, 1308, 26445, 814, 1044, 12623, 20470, 267, 2810, 711, 1317, 1142, 5428, 729, 3001, 2476, 689, 519, 20748, 4099, 267, 855, 1317, 25743, 1500, 513, 8325, 2490, 547, 519, 1318, 269, 3487, 540, 519, 717, 8008, 781, 2810, 11122, 32236, 729, 513, 8149, 11685, 547, 5859, 8804, 6963, 269, 1724, 454, 1607, 568, 1946, 6963, 619, 723, 2322, 865, 1454, 1648, 883, 8429, 15024, 693, 519, 1533, 543, 2199, 2157, 269, 634, 4126, 568, 602, 519, 1967, 540, 1346, 15024, 786, 2014, 873, 547, 3262, 2066, 519, 2197, 269, 1809, 1256, 519, 3811, 15024, 5293, 538, 4544, 610, 13711, 2829, 543, 4872, 949, 2760, 3262, 547, 2699, 3283, 269, 634, 2829, 2907, 723, 1114, 5686, 540, 13359, 4031, 1765, 19990, 3283, 547, 1118, 621, 4443, 547, 11578, 543, 8917, 267, 2699, 3283, 547, 1118, 621, 9875, 11652, 519, 1482, 1223, 4755, 609, 5859, 8804, 4031, 269, 1691, 454, 2005, 1281, 711, 2339, 602, 22893, 2136, 949, 581, 519, 1034, 554, 730, 10966, 7040, 6644, 538, 2487, 3965, 269, 7439, 1281, 621, 2339, 602, 476, 3199, 2600, 610, 811, 540, 25743, 543, 24273, 1589, 519, 3375, 1058, 581, 16765, 29354, 543, 602, 6837, 1058, 26193, 2706, 623, 3722, 338, 676, 25412, 7182, 593, 4830, 24723, 269, 1656, 621, 1281, 711, 2339, 602, 536, 760, 691, 16388, 6876, 593, 891, 2798, 568, 2523, 11495, 693, 513, 942, 950, 519, 1857, 949, 581, 607, 8701, 1242, 607, 519, 14761, 269, 1428, 454, 14085, 540, 891, 1919, 2339, 267, 1317, 938, 2797, 1062, 568, 711, 1360, 17841, 547, 1857, 6644, 269, 901, 729, 519, 3932, 1079, 2797, 3744, 6603, 1310, 513, 2143, 1353, 540, 476, 272, 267, 6507, 280, 3609, 2152, 281, 834, 16838, 11566, 569, 1804, 605, 268, 4219, 2101, 885, 267, 609, 476, 3199, 2600, 540, 519, 1857, 7957, 1681, 513, 3609, 1689, 267, 3893, 602, 1689, 1152, 827, 476, 6246, 2600, 540, 519, 942, 1701, 1626, 454, 5445, 849, 798, 711, 2339, 1317, 1018, 602, 476, 3199, 2600, 540, 4892, 771, 3697, 865, 1454, 568, 12082, 538, 21207, 2917, 269, 1703, 1131, 723, 1044, 1100, 22893, 2136, 267, 1100, 2706, 623, 3722, 338, 267, 543, 1100, 6679, 585, 5479, 320, 2231, 547, 6108, 19957, 18304, 540, 2724, 538, 12836, 1510, 21207, 2917, 781, 5947, 902, 602, 7303, 13313, 568, 519, 1152, 7989, 24777, 24134, 585, 15725, 5859, 7482, 267, 543, 602, 4830, 24723, 3112, 581, 3908, 1317, 789, 616, 6986, 4633, 269, 4354, 6883, 519, 1909, 540, 2462, 2724, 538, 12836, 1131, 1611, 16765, 9506, 519, 19506, 2013, 538, 2413, 5859, 8804, 1876, 267, 543, 519, 8458, 540, 602, 8345, 616, 513, 2603, 1447, 982, 476, 6246, 2600, 563, 763, 8458, 540, 1225, 6883, 2462, 2724, 538, 12836, 1131, 581, 513, 2603, 1732, 952, 519, 476, 276, 268, 275, 8237, 593, 519, 10966, 7040, 4682, 519, 824, 1259, 269, 1215, 2693, 568, 602, 888, 763, 2669, 540, 10456, 4165, 13908, 2480, 26515, 814, 2907, 3254, 721, 1175, 875, 2484, 649, 616, 689, 3478, 519, 1732, 6214, 649, 991, 547, 1205, 513, 1732, 10966, 7040, 269, 0, 4692, 1411, 26419, 2372, 527, 25003, 4635, 606, 661, 4149, 332, 5803, 888, 7093, 322, 1047, 569, 1018, 568, 513, 966, 1901, 286, 966, 1901, 568, 5618, 585, 11517, 6500, 269, 1323, 5907, 11517, 6500, 568, 513, 1875, 3887, 10431, 5907, 3926, 799, 1138, 12885, 4890, 16906, 7296, 269, 898, 2356, 16621, 606, 11046, 6500, 267, 513, 5547, 4604, 899, 513, 6007, 543, 513, 17872, 8708, 971, 607, 513, 4837, 610, 8708, 563, 2026, 10353, 547, 519, 2757, 968, 22496, 344, 892, 13189, 543, 12992, 267, 966, 1901, 786, 711, 1039, 1022, 3002, 547, 519, 2011, 269, 769, 327, 2718, 519, 8673, 689, 891, 2472, 786, 2014, 707, 9641, 547, 2253, 547, 1831, 936, 560, 4428, 539, 269, 2201, 519, 824, 1688, 267, 676, 11375, 2718, 22643, 832, 2813, 676, 606, 3167, 11517, 6500, 267, 707, 9641, 616, 1447, 20916, 547, 1831, 936, 560, 4428, 539, 543, 2253, 547, 1711, 5761, 8673, 563, 1692, 1281, 966, 1901, 960, 286, 2060, 513, 1360, 2241, 5650, 1572, 1098, 323, 1069, 531, 10338, 267, 966, 1901, 4991, 28555, 513, 5277, 267, 2356, 1898, 3282, 610, 1216, 267, 547, 513, 1880, 2837, 269, 2991, 519, 5277, 10301, 513, 1978, 2837, 267, 621, 25309, 21755, 543, 3587, 513, 11517, 269, 901, 1184, 949, 3002, 519, 3282, 909, 547, 14495, 1448, 610, 18493, 622, 519, 5277, 883, 606, 4672, 6438, 3070, 269, 634, 1267, 666, 581, 17938, 4705, 998, 519, 9641, 610, 883, 513, 11517, 538, 707, 5023, 610, 17725, 1858, 563, 1692, 568, 966, 1901, 10433, 3983, 286, 1809, 711, 3622, 2808, 513, 1072, 543, 8516, 9651, 267, 966, 1901, 1223, 2014, 3441, 547, 519, 9641, 952, 596, 13236, 538, 606, 7050, 2179, 540, 9252, 689, 513, 2582, 7484, 540, 10433, 269, 901, 568, 1317, 950, 596, 11375, 1446, 1932, 1454, 11517, 267, 621, 1223, 2014, 519, 17011, 540, 835, 779, 9641, 547, 2097, 547, 581, 28332, 543, 22224, 269, 901, 11926, 2306, 621, 2352, 547, 13236, 269, 769, 327, 2718, 1932, 1454, 5277, 15522, 666, 849, 2014, 606, 22350, 8920, 730, 21572, 267, 3056, 547, 23472, 543, 15319, 31462, 1846, 563, 17798, 267, 1018, 616, 519, 1655, 23238, 547, 3442, 689, 286, 634, 1079, 29224, 10366, 2139, 547, 966, 1901, 3755, 616, 4829, 543, 10448, 269, 22500, 10425, 616, 2356, 2927, 640, 610, 20521, 7657, 2293, 267, 1519, 11945, 267, 10538, 267, 18812, 267, 543, 11993, 269, 17164, 762, 23238, 616, 7363, 5614, 610, 3039, 10366, 267, 971, 607, 22156, 267, 17436, 267, 23601, 267, 13767, 2044, 267, 3039, 10365, 267, 16163, 2917, 267, 543, 24958, 269, 769, 1840, 547, 4829, 543, 10448, 23238, 267, 972, 616, 6266, 540, 824, 968, 4148, 2948, 902, 892, 2139, 538, 5907, 13189, 642, 16747, 267, 1519, 10269, 10366, 267, 5214, 21555, 267, 543, 4829, 21555, 269, 1411, 1058, 711, 8263, 602, 4010, 519, 1482, 8137, 786, 8209, 6492, 4010, 519, 1482, 538, 1142, 1114, 2186, 540, 5907, 15522, 6765, 1982, 563, 5278, 1004, 946, 552, 13189, 547, 948, 873, 2285, 909, 7296, 13189, 269, 661, 595, 7837, 10577, 2816, 676, 1818, 15522, 883, 606, 4244, 1826, 540, 4915, 269, 3509, 21596, 945, 1616, 547, 16718, 10269, 1616, 547, 798, 865, 14263, 519, 2168, 26351, 269, 4635, 606, 5907, 15522, 6765, 1062, 1522, 948, 873, 11883, 609, 1346, 26351, 538, 513, 6073, 602, 568, 1454, 8902, 543, 1447, 22925, 269, 5015, 267, 2094, 966, 1901, 779, 5838, 707, 23238, 998, 11517, 1436, 267, 789, 798, 711, 1683, 1482, 8213, 1761, 602, 13189, 4163, 856, 563, 12179, 2186, 540, 11393, 547, 9001, 606, 661, 4211, 7837, 12076, 547, 16718, 7296, 286, 1703, 723, 1044, 5359, 538, 2250, 2053, 827, 1004, 4742, 16094, 2192, 1813, 547, 519, 6464, 8659, 538, 1978, 12478, 540, 661, 4211, 7837, 10577, 269, 634, 5820, 949, 2014, 3978, 5761, 3441, 952, 606, 1367, 2479, 11375, 2297, 873, 267, 607, 5310, 519, 17646, 5006, 2179, 666, 2014, 23472, 267, 765, 22689, 267, 543, 5580, 1560, 9395, 1145, 269, 2201, 1283, 540, 602, 267, 1317, 606, 661, 4211, 7837, 12076, 1152, 20205, 19625, 540, 15522, 267, 5561, 949, 1745, 513, 4743, 540, 968, 327, 527, 892, 610, 968, 8243, 5803, 892, 998, 519, 1184, 540, 7296, 267, 855, 713, 14815, 2356, 535, 3547, 1369, 513, 1906, 7643, 269, 10251, 267, 621, 849, 3217, 513, 1279, 942, 547, 1205, 891, 4606, 689, 707, 1062, 269, 1306, 596, 666, 1294, 267, 972, 616, 930, 1483, 4220, 547, 1210, 891, 3457, 547, 948, 596, 3247, 7296, 1159, 10280, 563, 3383, 267, 952, 596, 6430, 602, 596, 1745, 519, 20882, 547, 16718, 267, 18562, 267, 596, 616, 14126, 827, 519, 1072, 2152, 267, 607, 1134, 607, 519, 8213, 1761, 267, 1287, 621, 1522, 581, 513, 1434, 2856, 547, 1413, 693, 513, 966, 1901, 1587, 607, 606, 4244, 269, 966, 1901, 568, 835, 540, 519, 21777, 661, 4211, 7837, 12076, 3549, 856, 972, 267, 543, 789, 723, 1500, 513, 1390, 4308, 540, 3356, 4724, 3384, 513, 10930, 1587, 547, 7494, 948, 6800, 16718, 13189, 269, 1635, 9427, 930, 540, 519, 4220, 2404, 609, 2757, 13189, 267, 966, 1901, 814, 1185, 519, 4316, 547, 15186, 2569, 741, 15522, 8213, 2009, 269, 9701, 596, 581, 2576, 945, 6499, 547, 2119, 713, 4244, 547, 3247, 7296, 13189, 267, 1287, 1118, 2386, 602, 596, 1491, 519, 942, 547, 723, 513, 1413, 693, 782, 519, 966, 1901, 2472, 593, 519, 2344, 1354, 1818, 707, 10700, 3375, 269, 0, 763, 5253, 543, 11982, 9257, 568, 513, 2027, 2213, 8116, 540, 519, 2136, 8315, 602, 5012, 3486, 3646, 547, 14710, 14000, 269, 4419, 532, 1312, 2919, 543, 3384, 2477, 267, 14174, 302, 6411, 607, 513, 9243, 8468, 1141, 782, 6082, 2743, 607, 11224, 547, 21907, 11650, 543, 7521, 3609, 269, 14174, 302, 568, 849, 513, 2707, 540, 1702, 543, 1344, 267, 543, 2337, 3384, 2477, 543, 2477, 538, 5912, 2413, 1047, 543, 2087, 6683, 267, 26216, 543, 21996, 2853, 267, 4180, 1434, 6484, 543, 1426, 3354, 585, 782, 269, 901, 4015, 568, 513, 1016, 1606, 564, 540, 678, 13370, 663, 5829, 6054, 689, 14174, 302, 9022, 338, 799, 2882, 4930, 267, 2835, 267, 5870, 5359, 267, 18659, 543, 2090, 267, 2139, 593, 519, 1357, 543, 3370, 676, 14174, 302, 267, 610, 5423, 538, 5698, 609, 14174, 302, 563, 15228, 24007, 4083, 269, 476, 275, 269, 11115, 1436, 4066, 585, 519, 5726, 626, 6683, 269, 27284, 2645, 585, 8856, 6683, 4429, 1240, 5556, 637, 334, 5556, 637, 334, 23256, 565, 8457, 632, 3288, 595, 1329, 25556, 1642, 2672, 601, 334, 269, 1230, 1084, 18480, 267, 16410, 516, 571, 632, 645, 529, 4472, 267, 661, 10422, 541, 571, 267, 681, 8160, 907, 268, 3057, 659, 599, 630, 309, 20318, 21731, 2567, 25789, 5425, 267, 476, 1220, 280, 269, 5556, 637, 334, 23256, 565, 8457, 632, 3288, 595, 1329, 25556, 1642, 2672, 601, 334, 267, 476, 1240, 1421, 13244, 645, 5451, 337, 321, 4673, 1642, 2098, 592, 807, 630, 309, 20318, 21731, 1070, 476, 280, 268, 1724, 3057, 476, 1220, 280, 11607, 7131, 268, 15375, 3244, 1842, 1470, 4083, 269, 275, 476, 277, 533, 563, 7374, 268, 15375, 3244, 1842, 1470, 4083, 269, 275, 476, 277, 533, 269, 0, 763, 1604, 540, 4789, 729, 10002, 3326, 3176, 1354, 519, 4853, 4838, 269, 634 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1357, 3156, 267, 4543, 547, 2149, 1996, 17351, 6285, 543, 16102, 6213, 1239, 563, 8005, 713, 1576, 568, 585, 912, 268, 5808, 6499, 547, 6258, 14069, 769, 20287, 454, 268, 5808, 654, 1218, 547, 581, 645, 1872, 645, 870, 344, 28865, 454, 268, 5808, 700, 7174, 5680, 13335, 21774, 4152, 454, 268, 5808, 6499, 547, 2259, 744, 310, 3008, 303, 5440, 476, 1015, 454, 268, 5808, 6499, 547, 1404, 11632, 293 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 942, 594, 6603, 519, 1647, 563, 16352, 513, 2647, 5542, 540, 5063, 9715, 27825, 689, 799, 547, 3442, 267, 594, 4956, 547, 4584, 909, 1945, 594, 23125, 1131, 581, 4625, 1114, 269, 968, 24154, 557, 1715, 2622, 2223, 2854, 12777, 5553, 1310, 968, 10673, 2372, 1460, 1774, 2223, 729, 1305, 1256, 2417, 6306, 538, 513, 9490, 543, 29711, 1014, 2104, 269, 594, 2219, 519, 585, 599, 883, 513, 1114, 9135, 1131, 1683, 513, 8799, 2736, 267, 1310, 799, 594, 1223, 3136, 593, 609, 519, 9035, 540, 519, 581, 548, 16331, 1229, 27585, 2144, 7949, 689, 1279, 3516, 563, 29820, 540, 4657, 10600, 454, 1432, 594, 4769, 1406, 8275, 2390, 16116, 909, 1250, 1007, 5542, 729, 602, 972, 1131, 581, 1082, 10486, 547, 3605, 1063, 1312, 2835, 269, 12344, 2576, 945, 1185, 6594, 3332, 1131, 723, 1634, 267, 855, 607, 513, 16351, 5467, 519, 19320, 941, 513, 9983, 547, 803, 269, 594, 4362, 602, 1312, 519, 4589, 267, 585, 3236, 267, 4547, 8521, 741, 25704, 538, 2053, 540, 1390, 1689, 563, 300, 580, 3241, 632, 595, 969, 656, 525, 5206, 968, 10673, 2372, 1460, 1774, 892, 1282, 519, 11193, 267, 950, 8050, 729, 7680, 6909, 1514, 543, 4108, 30331, 10052, 269, 595, 4381, 1063, 2025, 1158, 2342, 543, 513, 1007, 543, 2413, 2486, 267, 595, 969, 656, 525, 2813, 513, 22317, 16555, 593, 1010, 942, 563, 288, 671, 748, 670, 5060, 2917, 729, 4535, 711, 1279, 1310, 519, 4853, 4838, 9927, 1010, 5065, 4789, 267, 543, 646, 5206, 968, 24154, 557, 1715, 2622, 892, 1063, 2622, 2782, 594, 543, 2622, 2782, 4083, 267, 1282, 5310, 519, 6574, 1974, 540, 1689, 543, 30331, 10052, 538, 2413, 2342, 269, 6145, 595, 969, 656, 525, 267, 670, 5060, 2917, 1031, 1010, 4050, 547, 10460, 2055, 827, 13919, 543, 8103, 538, 513, 4657, 1158, 538, 513, 1034, 1008, 25607, 1259, 563, 13436, 885, 1063, 1291, 3197, 454, 10673, 2372, 1460, 1774, 632, 3288, 2494, 15939, 543, 3627, 267, 849, 1634, 607, 519, 14205, 720, 267, 616, 519, 1292, 3197, 540, 968, 10673, 2372, 1460, 1774, 892, 543, 968, 24154, 557, 1715, 2622, 1848, 5637, 616, 2367, 1305, 6306, 689, 13416, 2486, 267, 676, 6381, 543, 676, 3903, 267, 945, 1491, 593, 513, 1272, 19145, 1391, 563, 2005, 568, 5213, 2372, 1460, 1774, 779, 23881, 18146, 7254, 640, 799, 24508, 1864, 689, 519, 1004, 1472, 1864, 267, 7488, 540, 1010, 5763, 543, 1514, 7555, 267, 543, 5012, 1864, 1524, 519, 4155, 540, 7045, 543, 1928, 269, 1280, 3627, 267, 519, 14205, 720, 267, 621, 568, 519, 6381, 540, 1010, 4332, 799, 5094, 1864, 689, 519, 12075, 1472, 7247, 646, 729, 6659, 543, 689, 519, 2413, 267, 968, 322, 2753, 1242, 892, 12563, 945, 646, 2501, 547, 2743, 950, 646, 5036, 1055, 593, 513, 1391, 540, 1010, 1378, 563, 13828, 5213, 2372, 1460, 1774, 543, 3627, 616, 2367, 540, 3332, 538, 513, 1158, 799, 1281, 711, 5660, 2025, 2835, 610, 1871, 2984, 689, 519, 2250, 269, 5213, 2372, 1460, 1774, 814, 6170, 1454, 540, 1010, 5763, 593, 2835, 827, 669, 2526, 787, 543, 29843, 267, 6466, 3627, 814, 1152, 513, 2930, 8261, 602, 729, 1010, 3993, 779, 543, 513, 512, 13593, 5299, 540, 968, 763, 13159, 3718, 540, 5261, 9956, 892, 799, 729, 2016, 547, 1864, 676, 835, 540, 519, 12075, 945, 2219, 547, 8190, 621, 269, 1809, 519, 2367, 1265, 2933, 4805, 538, 3024, 532, 519, 2854, 2262, 563, 21008, 2581, 540, 5885, 3197, 454, 26596, 11155, 7754, 5633, 267, 5213, 2372, 1460, 1774, 779, 10121, 2695, 790, 267, 568, 4330, 607, 513, 2110, 267, 3170, 812, 540, 3908, 4987, 269, 9282, 646, 10525, 8098, 12637, 14017, 547, 1010, 3659, 267, 5213, 2372, 1460, 1774, 267, 1010, 1860, 687, 616, 711, 1510, 26846, 585, 7443, 540, 1010, 1378, 563, 12024, 3772, 267, 24527, 14100, 267, 519, 812, 945, 581, 325, 12188, 3627, 543, 6770, 1864, 1394, 547, 519, 2413, 2296, 1158, 689, 950, 576, 1010, 3237, 3357, 267, 568, 4330, 607, 513, 9308, 11527, 5737, 812, 945, 267, 1498, 10995, 267, 568, 15877, 538, 3929, 543, 1514, 23258, 269, 3571, 1860, 687, 585, 3627, 616, 849, 9244, 10917, 1229, 676, 1010, 26846, 585, 2123, 2744, 563, 299, 523, 2088, 18844, 928, 3587, 519, 1843, 540, 3627, 779, 1102, 520, 6672, 1310, 646, 10742, 1200, 593, 519, 30063, 538, 1715, 6792, 269, 1809, 1010, 2648, 585, 1200, 568, 32601, 267, 1317, 646, 1281, 711, 1294, 1200, 607, 1352, 2731, 568, 267, 543, 28093, 1132, 1200, 609, 519, 4162, 540, 519, 4075, 6681, 2021, 827, 7247, 646, 814, 1224, 538, 9956, 563, 12024, 3627, 267, 5213, 2372, 1460, 1774, 849, 2636, 5128, 547, 32696, 538, 606, 782, 21791, 1102, 520, 6672, 609, 1010, 14799, 267, 667, 592, 322, 13810, 267, 945, 538, 4641, 1281, 711, 1256, 917, 646, 6818, 269, 634, 32066, 4807, 945, 646, 814, 2938, 689, 7192, 541, 267, 543, 945, 646, 7125, 667, 592, 322, 13810, 267, 568, 547, 5213, 2372, 1460, 1774, 519, 20032, 540, 1169, 1434, 543, 4075, 6681, 4998, 646, 814, 25343, 538, 1010, 2835, 563, 11514, 650, 4288, 618, 1354, 2669, 454, 11990, 1305, 856, 593, 1010, 3460, 547, 4789, 609, 1390, 6788, 540, 3695, 513, 968, 3630, 557, 1007, 1158, 892, 543, 5870, 1004, 811, 899, 5128, 982, 519, 12075, 945, 646, 8910, 1044, 6659, 2282, 267, 855, 1851, 7247, 646, 8910, 2760, 1044, 7608, 269, 6969, 12955, 267, 646, 1336, 5128, 771, 650, 4288, 539, 609, 713, 1007, 1158, 267, 543, 14220, 693, 519, 1004, 945, 8359, 513, 13719, 543, 2495, 1652, 14810, 540, 8788, 936, 519, 5191, 547, 581, 1483, 563, 10673, 2372, 1460, 1774, 849, 1336, 5128, 771, 650, 4288, 539, 1354, 2669, 267, 855, 711, 1317, 519, 1004, 1472, 1864, 941, 2713, 538, 513, 14810, 1158, 269, 2201, 519, 14669, 267, 621, 729, 1317, 1010, 1378, 16494, 18697, 540, 16495, 543, 8956, 8604, 547, 1864, 1732, 543, 811, 3407, 982, 519, 1483, 1272, 646, 729, 7142, 1394, 547, 950, 1346, 1472, 1864, 5795, 1864, 1100, 3903, 855, 547, 3068, 1010, 1642, 16272, 563, 2690, 1312, 2367, 267, 1373, 5185, 609, 513, 18348, 1158, 267, 8900, 267, 13719, 543, 27507, 540, 519, 8956, 543, 16495, 789, 6159, 1386, 729, 1932, 1454, 547, 7703, 563, 288, 2471, 6306, 267, 3808, 676, 1455, 16060, 454, 2026, 621, 5828, 856, 267, 1250, 3801, 547, 1654, 518, 4625, 883, 513, 1114, 4990, 540, 1650, 267, 547, 1491, 513, 2736, 538, 519, 1647, 540, 968, 10673, 2372, 1460, 1774, 2223, 538, 1249, 1175, 19876, 803, 883, 519, 1650, 540, 513, 1360, 2147, 1915, 1305, 538, 513, 1454, 1114, 1158, 269, 9282, 968, 24154, 557, 1715, 2622, 892, 729, 2854, 811, 982, 476, 4968, 1296, 2663, 267, 543, 519, 2984, 941, 1305, 5553, 20991, 6306, 982, 602, 267, 789, 616, 3808, 676, 1082, 1455, 2093, 563, 2252, 596, 616, 513, 10178, 540, 835, 1433, 610, 519, 824, 267, 594, 1131, 2303, 2542, 1312, 269, 1403, 596, 4076, 2760, 1224, 2901, 1433, 267, 596, 4076, 14406, 513, 7008, 540, 1008, 25607, 8941, 267, 1142, 17709, 540, 2542, 593, 922, 1378, 563, 5415, 676, 570, 822, 807, 912, 5719, 655, 3508, 1944, 9085, 281, 589, 7982, 1684, 528, 547, 519, 2622, 540, 2048, 293, 16366, 476, 26493, 20371, 5649, 519, 3883, 547, 2659, 8866, 3689, 6969, 22628, 519, 28414, 454, 20091, 3733, 10158, 3414, 5899, 1052, 2622, 338, 0, 763, 4216, 270, 19327, 1505, 568, 4998, 585, 1346, 1053, 945, 917, 741, 2596, 5013, 543, 666, 9062, 676, 7060, 540, 4557, 269, 634, 4216, 270, 19327, 1505, 2337, 1053, 547, 11677, 1747, 1871, 2035, 3079, 540, 8357, 1944, 513, 6296, 563, 17273, 476, 274, 1107, 11137, 540, 519, 4216, 1505, 454, 303, 1137, 476, 275, 268, 276, 1107, 6657, 609, 9450, 1106, 3177, 630, 273, 18251, 2053, 476, 273, 18251, 994, 303, 1137, 476, 277, 268, 278, 1107, 6657, 630, 273, 18251, 2053, 476, 273, 18251, 994, 303, 1137, 476, 279, 268, 280, 1107, 6657, 630, 274, 18251, 2053, 476, 273, 18251, 994, 303, 1137, 476, 1015, 268, 1556, 1107, 6657, 630, 274, 18251, 2053, 476, 274, 18251, 994, 17273, 476, 1321, 268, 1724, 1107, 24908, 2259, 454, 17273, 476, 1691, 268, 2537, 1107, 8382, 10569, 454, 275, 12991, 6630, 269, 276, 25092, 513, 2898, 1297, 540, 909, 547, 2185, 9704, 676, 513, 835, 18251, 2898, 1297, 267, 543, 9062, 1079, 1079, 18251, 2338, 267, 1210, 2994, 1759, 593, 1747, 1871, 543, 519, 3601, 540, 4238, 269, 16503, 3433, 543, 2491, 519, 9819, 676, 1210, 4834, 267, 14328, 14249, 267, 543, 5924, 1858, 3631, 269, 0, 268, 10902, 606, 2272, 602, 2829, 519, 1871, 540, 7482, 543, 7221, 16539, 538, 513, 1870, 676, 519, 5411, 610, 23265, 454, 268, 10902, 519, 6712, 540, 513, 2197, 779, 3666, 540, 11033, 602, 4016, 547, 9541, 267, 2864, 982, 547, 519, 9140, 543, 9513, 540, 25584, 454, 268, 10902, 513, 3948, 540, 519, 2121, 4502, 540, 606, 3919, 693, 513, 2016, 942, 454, 268, 10902, 513, 2197, 779, 3084, 2272, 6029, 519, 3854, 16539, 538, 513, 5989, 267, 610, 513, 6109, 779, 2272, 6029, 5092, 538, 2030, 543, 824, 7221, 454, 268, 630, 25740, 607, 13317, 10055, 264, 3080, 540, 1079, 6589, 602, 1118, 909, 519, 3666, 540, 11033, 585, 513, 2197, 267, 519, 824, 1373, 519, 1699, 2272, 269, 634, 3854, 2272, 8952, 3950, 540, 9304, 3001, 883, 543, 856, 540, 519, 2197, 1813, 547, 3486, 9541, 267, 543, 568, 1031, 676, 22257, 2883, 5238, 547, 3313, 16642, 4640, 3823, 9304, 3024, 725, 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 ]
[ 335, 14873, 16219, 547, 2322, 1864, 538, 513, 1007, 2777, 693, 31436, 4768, 18553, 267, 543, 547, 1491, 1416, 540, 1864, 11489, 938, 2132, 269, 1284, 15354, 930, 14918, 267, 543, 930, 12545, 267, 12946, 519, 1913, 281, 2048, 6124, 10215, 8092, 7577, 685, 941, 2322, 909, 538, 17736, 545, 6681, 4025, 593, 519, 24528, 540, 519, 3771, 13118, 3034, 2304, 1349, 568, 2016, 538, 519, 654, 2454, 2023, 4498, 13118, 5729, 3883, 267, 476, 4489, 280, 267, 2985, 476, 2568, 267, 540, 18279, 932, 3530, 518, 781, 1867, 267, 18584, 476, 279, 628, 4239, 1421, 476, 8146, 280, 267, 607, 5205, 281, 1765, 454, 22154, 2823, 267, 799, 814, 1044, 2370, 1634, 267, 16034, 1851, 835, 540, 519, 20923, 538, 519, 1158, 269, 4706, 13675, 568, 2653, 267, 519, 12178, 782, 6029, 282, 543, 7899, 540, 4055, 547, 960, 538, 267, 609, 22221, 535, 987, 1682, 538, 519, 7522, 652, 851, 3034, 1103, 513, 5618, 8720, 4063, 547, 1010, 4760, 267, 18584, 5239, 476, 1015, 628, 267, 476, 8146, 280, 267, 29962, 654, 820, 7615, 24616, 281, 1765, 2108, 7069, 9837, 568, 547, 2030, 519, 1101, 11175, 693, 5800, 17880, 565, 5459, 267, 1141, 594, 723, 10288, 1896, 8075, 547, 581, 3710, 3034, 763, 968, 301, 269, 313, 269, 4750, 1848, 5507, 267, 4239, 269, 476, 1789, 267, 476, 7277, 272, 267, 3568, 513, 1592, 540, 519, 4408, 540, 5619, 832, 964, 6312, 3481, 676, 519, 968, 289, 893, 600, 2223, 476, 273, 526, 5239, 267, 476, 7277, 272, 267, 642, 714, 12727, 1765, 21579, 3241, 8176, 645, 4181, 267, 9030, 5619, 528, 282, 7917, 2701, 653, 731, 267, 19291, 2701, 653, 731, 267, 14880, 654, 2643, 773, 267, 589, 269, 2353, 558, 267, 9710, 864, 4077, 331, 2023, 267, 6723, 15391, 267, 19291, 808, 3326, 773, 267, 11977, 17880, 565, 5459, 267, 3798, 269, 22374, 267, 774, 657, 269, 670, 269, 8055, 267, 654, 269, 715, 269, 5395, 1014, 833, 267, 8361, 853, 10280, 267, 670, 269, 590, 269, 570, 858, 523, 267, 589, 269, 6519, 3650, 267, 28788, 2284, 2480, 549, 1375, 338, 267, 808, 269, 570, 592, 569, 543, 14880, 654, 1571, 267, 13930, 5619, 832, 543, 20017, 1115, 563, 763, 5619, 540, 519, 670, 18636, 5757, 1631, 6905, 538, 513, 2786, 1899, 689, 519, 11824, 267, 5176, 476, 279, 5195, 267, 543, 1739, 519, 2842, 902, 540, 519, 5757, 476, 1015, 5195, 543, 513, 10116, 269, 31080, 1223, 3802, 689, 713, 1747, 547, 2985, 476, 5325, 277, 28769, 597, 7699, 676, 4155, 269, 630, 4131, 614, 689, 681, 269, 853, 10280, 267, 654, 2454, 2023, 269, 476, 1724, 628, 4989, 267, 476, 7277, 272, 282, 968, 301, 269, 313, 269, 4750, 2223, 476, 275, 270, 280, 270, 6078, 8094, 16031, 269, 15656, 645, 4181, 5206, 519, 1739, 5528, 547, 6004, 269, 15089, 651, 6807, 267, 19608, 11752, 528, 547, 519, 715, 269, 313, 269, 7577, 267, 609, 4704, 547, 519, 10182, 540, 930, 25165, 945, 941, 29572, 532, 519, 12220, 538, 519, 2197, 8664, 563, 763, 4484, 729, 2854, 689, 519, 11752, 528, 29731, 781, 5604, 543, 18584, 476, 2641, 560, 4728, 267, 476, 7277, 273, 281, 1765, 454, 14881, 1917, 547, 11760, 519, 2256, 18967, 540, 707, 3247, 2457, 676, 519, 8575, 528, 529, 267, 799, 594, 4464, 539, 547, 18279, 8055, 267, 945, 693, 1459, 814, 5279, 540, 519, 8664, 596, 616, 7722, 538, 563, 2108, 290, 2194, 664, 8055, 2348, 2451, 654, 2454, 2023, 713, 6640, 593, 519, 7577, 781, 3028, 267, 594, 22738, 547, 1217, 596, 540, 1010, 5528, 267, 799, 616, 2048, 7474, 596, 2347, 607, 1082, 6810, 607, 2009, 267, 543, 1287, 4217, 11619, 3464, 269, 26858, 543, 31509, 1479, 538, 5969, 519, 11824, 1899, 2394, 2417, 9753, 10200, 306, 3913, 269, 15656, 8176, 645, 4181, 267, 11752, 528, 29731, 267, 715, 269, 313, 269, 7577, 3034, 16031, 269, 8176, 8361, 31509, 1479, 267, 945, 19443, 538, 519, 5619, 540, 5800, 17880, 565, 5459, 267, 28769, 597, 7699, 543, 16592, 670, 18636, 267, 729, 4535, 693, 9995, 16049, 267, 13573, 267, 538, 476, 9264, 271, 269, 1261, 729, 585, 513, 942, 513, 6310, 4487, 693, 6004, 269, 3627, 25760, 781, 1153, 693, 13056, 951, 5069, 269, 1473, 340, 1027, 547, 32164, 3433, 267, 646, 3357, 547, 1715, 10215, 676, 519, 968, 302, 686, 1581, 892, 543, 22876, 3293, 7694, 607, 804, 17064, 547, 519, 6109, 540, 5975, 1206, 6953, 32111, 267, 631, 3421, 2914, 2180, 543, 8891, 516, 267, 2394, 519, 6109, 15702, 11450, 269, 1261, 1287, 8678, 519, 1715, 10215, 7577, 781, 5619, 5234, 896, 18279, 2725, 514, 4149, 19431, 563, 16914, 558, 3966, 1221, 676, 6004, 269, 21238, 654, 1571, 267, 646, 8268, 513, 9645, 6712, 540, 519, 681, 574, 583, 10440, 267, 22859, 600, 18553, 267, 654, 1515, 541, 23981, 267, 543, 2494, 1177, 520, 340, 13102, 267, 3976, 585, 519, 1101, 942, 7708, 323, 6577, 676, 513, 3864, 3723, 563, 763, 5428, 8120, 267, 1310, 513, 3923, 781, 9000, 267, 3368, 5182, 1386, 267, 543, 2348, 11124, 1390, 3051, 725, 267, 855, 8744, 1394, 513, 30437, 6609, 540, 519, 15999, 267, 1134, 2914, 23926, 23617, 865, 5078, 585, 2417, 11175, 269, 634, 9998, 1715, 10215, 968, 294, 1794, 22863, 892, 543, 519, 968, 15900, 5590, 339, 6840, 262, 4750, 2223, 5292, 269, 594, 1421, 10606, 476, 272, 267, 476, 273, 543, 476, 274, 2285, 606, 4277, 2272, 540, 519, 13358, 819, 563, 16031, 269, 31509, 1479, 8120, 547, 4789, 538, 519, 968, 289, 893, 600, 892, 538, 476, 7277, 274, 543, 4607, 606, 13393, 609, 519, 715, 269, 313, 269, 7577, 607, 13930, 5619, 528, 543, 11653, 267, 13059, 547, 654, 2454, 2023, 538, 476, 7277, 277, 269, 4438, 513, 6830, 9519, 781, 3251, 538, 654, 2454, 2023, 267, 646, 1500, 1010, 4566, 585, 519, 5619, 540, 968, 6124, 25470, 892, 630, 302, 339, 6210, 610, 17305, 752, 537, 1040, 1261, 2968, 6554, 11752, 528, 543, 21362, 32057, 540, 1546, 2644, 538, 476, 6977, 272, 267, 543, 16588, 540, 519, 5600, 540, 24929, 538, 476, 5908, 271, 269, 1261, 5747, 693, 9741, 20860, 267, 476, 5908, 273, 269, 630, 15761, 847, 338, 689, 670, 1442, 523, 781, 715, 269, 313, 1421, 533, 269, 476, 10619, 4700, 2457, 476, 5325, 278, 454, 8993, 269, 476, 29580, 23102, 297, 269, 21025, 518, 992, 267, 674, 10611, 6993, 2529, 269, 476, 6245, 278, 1765, 6642, 280, 563, 8993, 269, 476, 27840, 23102, 306, 269, 3131, 1097, 8055, 267, 674, 10611, 14371, 2529, 269, 476, 6642, 280, 1765, 5002, 271, 563, 20776, 3272, 832, 29731, 540, 1715, 10215, 269, 1635, 21806, 14924, 543, 11752, 1546, 696, 20426, 0, 1692, 2178, 568, 707, 10957, 888, 17239, 2752, 297, 288, 295, 2443, 1284, 2661, 538, 513, 1158, 1141, 1762, 1453, 991, 547, 1711, 5769, 6589, 547, 1569, 519, 2622, 22453, 5680, 267, 585, 3592, 782, 540, 741, 9913, 607, 1134, 607, 3872, 2115, 269, 634, 26588, 26400, 4139, 3883, 12876, 779, 476, 1321, 6377, 7913, 8232, 22544, 11414, 14038, 9907, 476, 1626, 543, 909, 875, 547, 1711, 11360, 31383, 18538, 563, 24685, 713, 13186, 267, 649, 616, 21365, 513, 1360, 2352, 1966, 538, 14590, 269, 3502, 1152, 616, 12322, 5189, 547, 14590, 16166, 267, 855, 789, 1451, 875, 547, 1711, 513, 5150, 10957, 543, 666, 1256, 2119, 856, 938, 11191, 1907, 547, 1294, 875, 6880, 3430, 2931, 2965, 4755, 538, 1483, 1272, 2223, 3081, 4446, 12711, 1325, 808, 559, 8643, 267, 2910, 302, 540, 8342, 29790, 563, 7712, 12322, 3622, 4782, 513, 811, 3946, 6823, 1935, 547, 23115, 1919, 856, 593, 741, 1378, 267, 1142, 476, 3393, 18826, 8400, 814, 1044, 16887, 2966, 1210, 513, 21370, 8818, 607, 1134, 607, 2502, 7044, 267, 547, 1397, 12322, 875, 6285, 11200, 267, 1287, 4161, 873, 547, 2119, 547, 4194, 873, 269, 4586, 2750, 322, 1243, 1310, 1010, 8400, 267, 2875, 30277, 674, 1177, 1794, 1767, 646, 4121, 602, 21190, 2356, 946, 519, 2296, 8675, 547, 1711, 2262, 10659, 543, 11523, 18538, 269, 968, 16352, 713, 1702, 666, 948, 873, 689, 519, 2085, 540, 476, 1321, 2394, 789, 616, 4079, 269, 1358, 666, 1256, 4001, 741, 3237, 543, 22594, 2223, 8591, 1325, 808, 559, 8643, 269, 2443, 306, 294, 0, 4322, 2035, 616, 8947, 538, 811, 1469, 538, 519, 1739, 6810, 269, 769, 18714, 8134, 585, 3294, 543, 13479, 666, 2887, 689, 1032, 568, 6385, 12444, 1242, 547, 2491, 1018, 616, 19632, 883, 693, 335, 1648, 689, 3037, 3638, 11934, 1141, 1034, 2371, 616, 1313, 582, 5268, 338, 2491, 713, 3948, 286, 3657, 782, 2371, 1313, 582, 5268, 338, 3807, 1518, 707, 2626, 11020, 569, 514, 563, 763, 1648, 1031, 547, 3180, 891, 6675, 1927, 568, 5950, 950, 606, 11248, 9397, 1524, 1426, 269, 634, 11747, 3252, 607, 6800, 1590, 581, 11843, 689, 713, 3948, 602, 3548, 5779, 607, 2241, 3114, 7135, 267, 799, 1419, 7213, 12885, 13802, 4679, 5488, 982, 7943, 269, 16440, 1250, 2012, 267, 4779, 784, 267, 8754, 789, 616, 1572, 9729, 673, 22204, 269, 5221, 1142, 2511, 814, 922, 1378, 11249, 16082, 602, 11457, 936, 942, 543, 711, 782, 1344, 568, 2139, 585, 1169, 4704, 7127, 610, 2376, 267, 9093, 5979, 5244, 267, 1494, 6901, 616, 3407, 1317, 1761, 14747, 666, 581, 4857, 543, 3984, 1808, 12490, 540, 519, 15495, 666, 581, 5462, 269, 4935, 30173, 1272, 13257, 711, 8275, 602, 1034, 2371, 616, 1313, 582, 5268, 338, 2491, 713, 3948, 609, 3105, 12119, 12136, 269, 2659, 24440, 22754, 267, 1313, 582, 5268, 338, 616, 2404, 609, 519, 1699, 1544, 585, 519, 563, 3383, 559, 849, 1572, 9729, 673, 22204, 454, 2026, 4544, 1769, 568, 1312, 1164, 538, 1648, 543, 9244, 12842, 676, 28060, 267, 26220, 2371, 3914, 741, 5207, 4763, 538, 1979, 2345, 602, 616, 711, 1769, 3908, 971, 607, 26377, 267, 782, 1426, 13881, 676, 3425, 849, 6402, 1394, 547, 1313, 582, 5268, 338, 602, 4163, 856, 15591, 269, 4201, 582, 5268, 338, 971, 607, 2371, 666, 3132, 741, 1378, 1426, 689, 1769, 3842, 269, 1358, 2744, 5567, 899, 1100, 835, 610, 18632, 4778, 540, 2055, 585, 1383, 267, 543, 13148, 3043, 267, 1118, 909, 547, 2371, 616, 1034, 1313, 582, 5268, 338, 602, 2636, 824, 269, 2353, 2371, 616, 1313, 582, 13116, 538, 2470, 1684, 596, 3858, 1403, 1631, 1506, 563, 8505, 582, 5268, 338, 616, 1034, 4122, 1634, 607, 851, 741, 3327, 8166, 3154, 5385, 267, 1034, 2371, 616, 1313, 582, 5268, 338, 2491, 713, 3948, 602, 568, 5863, 7688, 2630, 547, 1346, 602, 729, 9674, 689, 824, 269, 901, 1648, 568, 6740, 538, 519, 6878, 602, 1118, 909, 519, 2281, 540, 519, 2371, 269, 1879, 2831, 3548, 267, 896, 1467, 610, 5031, 519, 3688, 602, 616, 7814, 539, 1063, 519, 1769, 6547, 543, 519, 27869, 4783, 269, 6904, 851, 540, 519, 5256, 10285, 1062, 4558, 519, 14203, 888, 5472, 519, 1034, 2371, 1313, 582, 5268, 338, 616, 519, 454, 26170, 2115, 547, 2491, 1018, 666, 1034, 2371, 616, 1313, 582, 5268, 338, 2491, 713, 3948, 602, 616, 1031, 676, 269, 5410, 873, 1034, 2371, 616, 1313, 582, 5268, 338, 2491, 713, 3948, 568, 3177, 676, 1018, 666, 581, 2147, 547, 269, 24695, 339, 25762, 5095, 1860, 2875, 1058, 711, 1312, 538, 606, 23257, 334, 1243, 13395, 602, 1118, 741, 1378, 2688, 4798, 267, 1034, 2371, 616, 1313, 582, 5268, 338, 2491, 713, 3948, 602, 2729, 607, 269, 1548, 616, 3733, 20799, 13116, 8187, 25154, 22340, 11206, 6796, 269, 1215, 7688, 11170, 666, 3548, 543, 6460, 621, 4564, 513, 16073, 7103, 602, 2175, 269, 1215, 1648, 568, 513, 2953, 543, 3035, 519, 1259, 4568, 12842, 676, 824, 7103, 3489, 9436, 1317, 1034, 2371, 616, 1313, 582, 5268, 338, 269, 1703, 729, 2899, 596, 616, 7103, 602, 616, 1079, 3157, 676, 21716, 1216, 563, 1103, 16955, 6878, 971, 7031, 1331, 3376, 28369, 267, 1034, 2371, 616, 1313, 582, 5268, 338, 2491, 713, 3948, 1775, 267, 971, 607, 4492, 6675, 1336, 782, 2713, 1919, 585, 15591, 4386, 1152, 835, 512, 13116, 1377, 547, 2307, 1053, 286, 12518, 3489, 741, 1426, 10596, 606, 6475, 19057, 2404, 609, 2371, 616, 8200, 593, 5567, 267, 3180, 891, 1569, 800, 23416, 269, 476, 276, 1556, 16294, 2249, 7226, 2551, 2146, 5117, 543, 14498, 269, 25849, 3756, 538, 21450, 4945, 267, 616, 7103, 602, 616, 5827, 540, 15591, 563, 8448, 10636, 582, 5268, 338, 18549, 4096, 593, 519, 12696, 676, 8023, 593, 519, 1101, 1826, 540, 10636, 582, 5268, 338, 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 ]
[ 26941, 538, 623, 13048, 5385, 3928, 267, 6710, 3928, 585, 1367, 2477, 3112, 581, 15510, 538, 17326, 7645, 6710, 267, 8515, 540, 22975, 630, 8472, 562, 18502, 269, 15510, 538, 4049, 17326, 7645, 6710, 630, 8472, 562, 18502, 563, 2005, 729, 519, 5207, 13864, 2557, 2094, 4989, 540, 476, 1001, 271, 267, 8015, 519, 12675, 6855, 6433, 269, 634, 1297, 540, 32014, 2799, 676, 476, 6507, 8536, 689, 513, 1032, 4505, 547, 476, 276, 4029, 8536, 1247, 7694, 4682, 1524, 676, 476, 12553, 8536, 547, 476, 275, 269, 280, 5392, 2929, 269, 1133, 655, 7877, 15580, 538, 476, 1001, 280, 268, 6349, 268, 1240, 5788, 15510, 2630, 6710, 1899, 630, 8472, 476, 1001, 280, 13474, 681, 3471, 267, 676, 24419, 3690, 17218, 25385, 320, 10722, 565, 22614, 362, 478, 12916, 497, 18809, 18713, 377, 31839, 9820, 1546, 28852, 2843, 510, 7846, 4736, 4736, 24012, 3264, 32172, 18028, 357, 11165, 24291, 28257, 14507, 24220, 18716, 29756, 9929, 340, 17845, 338, 32386, 281, 18831, 540, 519, 2622, 13474, 24419, 902, 30578, 7330, 10803, 932, 710, 10803, 13474, 32011, 23076, 32011, 15215, 22868, 4578, 543, 1382, 593, 1514, 543, 10304, 2152, 1519, 3885, 543, 1453, 267, 4008, 7862, 267, 717, 2562, 296, 11664, 267, 1134, 5630, 267, 6710, 5786, 267, 1480, 3854, 543, 8635, 1421, 717, 7236, 14170, 267, 6710, 3928, 267, 4747, 267, 3092, 269, 769, 3699, 616, 811, 8449, 7856, 543, 7864, 1004, 616, 4057, 1141, 1514, 7836, 568, 1164, 281, 519, 29735, 2477, 543, 7262, 3864, 2477, 267, 971, 607, 15212, 267, 19934, 476, 273, 24770, 538, 13785, 476, 1960, 272, 1765, 1220, 278, 7827, 267, 6384, 267, 543, 29076, 6771, 540, 6710, 1282, 2804, 21748, 543, 2208, 3967, 744, 269, 808, 976, 5459, 267, 16528, 4659, 585, 4317, 3194, 13785, 779, 670, 14888, 1871, 585, 476, 1001, 280, 568, 476, 271, 269, 280, 3393, 1765, 799, 2322, 519, 2197, 538, 519, 1360, 1164, 1480, 1646, 7121, 1765, 6570, 532, 621, 693, 476, 278, 856, 540, 476, 6245, 2477, 543, 11182, 269, 9737, 476, 1960, 271, 543, 476, 1001, 280, 267, 13785, 779, 670, 14888, 1871, 2799, 689, 476, 271, 269, 279, 2641, 547, 476, 271, 269, 280, 3393, 267, 606, 2333, 540, 476, 1428, 269, 272, 2600, 563, 303, 20191, 29361, 269, 24770, 7934, 693, 1269, 272, 269, 280, 513, 1554, 282, 24770, 7934, 693, 1269, 274, 269, 273, 513, 1554, 282, 24770, 7934, 693, 1269, 276, 269, 276, 513, 1554, 282, 24770, 10361, 12248, 22472, 269, 24770, 5223, 693, 1269, 272, 269, 280, 513, 1554, 282, 24770, 5223, 693, 1269, 274, 269, 273, 513, 1554, 282, 24770, 5223, 693, 1269, 276, 269, 276, 513, 1554, 282, 24770, 5223, 693, 3084, 6710, 1899, 282, 24770, 5223, 693, 6917, 6710, 1899, 282, 24770, 5223, 693, 4683, 6710, 1899, 282, 20677, 32389, 269, 717, 2562, 296, 4994, 454, 306, 14954, 523, 634, 5274, 13317, 12039, 630, 295, 5746, 264, 6538, 2488, 1239, 693, 519, 2197, 1377, 585, 1142, 540, 519, 3334, 540, 519, 5274, 13317, 12039, 607, 1134, 607, 585, 519, 2949, 4994, 267, 9969, 326, 27935, 676, 4008, 269, 634, 4994, 3800, 519, 2179, 540, 1480, 3854, 602, 513, 1126, 4535, 2221, 666, 2503, 547, 12492, 676, 2085, 476, 1240, 267, 2016, 519, 4220, 540, 4057, 1072, 543, 4057, 2069, 602, 7173, 841, 538, 519, 2197, 1141, 1352, 2729, 269, 634, 6871, 540, 519, 1158, 779, 2551, 2713, 538, 6207, 6710, 568, 2693, 547, 6749, 2630, 476, 1015, 2600, 2713, 3790, 2066, 2477, 630, 13048, 303, 5385, 3928, 1916, 306, 14954, 880, 6554, 10837, 585, 15272, 543, 6406, 5980, 1532, 843, 30633, 539, 606, 3573, 24255, 1996, 476, 1839, 1164, 8573, 21403, 2818, 540, 519, 16528, 12057, 543, 6554, 547, 2569, 6710, 538, 519, 1158, 998, 1646, 9316, 563, 306, 14954, 523, 6710, 2557, 585, 476, 1001, 277, 729, 476, 271, 269, 2568, 9077, 513, 476, 271, 269, 275, 260, 7771, 689, 476, 1001, 276, 269, 13785, 6710, 2557, 585, 476, 1001, 276, 729, 476, 272, 269, 876, 9077, 513, 476, 271, 269, 272, 260, 2333, 689, 476, 1001, 275, 269, 13785, 6710, 2557, 585, 476, 1001, 275, 729, 476, 271, 269, 3445, 9077, 513, 476, 271, 269, 273, 260, 7771, 689, 476, 1001, 274, 563, 303, 20191, 2212, 12248, 5223, 693, 1269, 272, 269, 3445, 513, 1554, 568, 519, 6871, 540, 519, 2551, 2713, 593, 1447, 982, 1269, 272, 269, 3445, 513, 1554, 693, 476, 1001, 272, 3486, 5777, 269, 476, 1001, 279, 268, 5881, 268, 2918, 5788, 13785, 3800, 922, 6710, 538, 2474, 540, 6207, 6710, 630, 514, 2492, 540, 1269, 273, 829, 1554, 1070, 2864, 982, 3448, 6710, 630, 1652, 982, 476, 2568, 2600, 540, 11667, 4747, 1040, 901, 1797, 602, 1346, 945, 616, 1818, 18923, 2614, 547, 3548, 1079, 6980, 513, 1554, 616, 711, 2808, 547, 581, 538, 6207, 6710, 563, 10932, 2982, 602, 2883, 13438, 4679, 519, 4220, 540, 2192, 1072, 267, 4057, 1514, 538, 13785, 1282, 519, 1974, 476, 2735, 277, 1700, 1960, 271, 729, 476, 280, 269, 278, 2600, 269, 3204, 8973, 10770, 693, 16151, 6361, 1790, 20191, 630, 303, 2752, 8008, 1070, 649, 723, 3379, 9193, 689, 519, 570, 303, 8379, 543, 590, 6579, 290, 269, 4014, 519, 590, 6579, 290, 2861, 9193, 585, 13785, 616, 538, 1899, 609, 13380, 29735, 2477, 267, 789, 616, 2560, 24770, 538, 519, 2136, 2276, 769, 476, 1001, 279, 267, 972, 941, 476, 4343, 269, 1428, 2929, 1004, 2713, 2630, 519, 6710, 1899, 538, 519, 772, 2529, 1547, 6168, 476, 736, 269, 279, 2600, 540, 519, 3979, 1977, 2551, 5030, 538, 6710, 538, 476, 1001, 279, 267, 519, 901, 18802, 8761, 519, 1297, 540, 1004, 693, 1981, 540, 6710, 610, 1514, 17181, 538, 13785, 689, 476, 1220, 278, 547, 476, 1001, 278, 563, 1103, 13785, 267, 519, 3328, 7622, 2121, 14194, 3286, 539, 25551, 4747, 829, 21027, 568, 20430, 476, 4029, 476, 27868, 513, 1032, 2073, 2539, 982, 519, 31232, 3328, 540, 20430, 476, 3451, 476, 2568, 275, 513, 1032, 269, 7324, 13785, 779, 2551, 538, 476, 1001, 280, 267, 1175, 936, 476, 1428, 2600, 941, 693, 1981, 540, 6710, 269, 5565, 555, 8674, 540, 1346, 1004, 267, 5176, 476, 1015, 2600, 540, 519, 2551, 267, 941, 693, 10770, 1981, 540, 6710, 269, 901, 1797, 602, 789, 941, 693, 1981, 540, 6710, 538, 476, 1001, 280, 543, 1282, 693, 2547, 1079, 540, 519, 1614, 18631, 1296, 563, 7356, 15879, 535, 325, 20446, 533, 978, 454, 31688, 4722, 476, 273, 7472, 454, 341, 752, 3534, 552, 1123, 554, 329, 691, 17380, 335, 454, 268, 2997, 320, 642, 752, 559, 1930, 4484, 454, 268, 9947, 334, 10627, 9126, 454, 268, 3525, 518, 2513, 4711, 4011, 2102, 608, 11391, 601, 454, 268, 645, 758, 325, 7238, 571, 1191, 330, 739, 333, 14575, 1671, 330, 843, 535, 597, 2742, 454, 268, 27439, 27004, 2816, 321, 4217, 550, 454, 268, 6250, 7534, 737, 2632, 26979, 454, 268, 30709, 548, 19241, 643, 327, 639, 564, 865, 325, 1408, 1495, 454, 268, 1627, 2564, 2495, 454, 268, 10789, 522, 577, 22762, 686, 454, 854, 2370, 2078, 547, 519, 1126, 6710, 2557, 269, 13785, 814, 513, 5594, 2362, 8167, 540, 922, 1453, 2713, 538, 19157, 268, 2385, 3885, 982, 519, 2136, 2276, 610, 563, 14530, 267, 13785, 267, 476, 1428, 595, 28566, 301, 281, 1215, 3624, 781, 24770, 661, 2784, 1709, 4518, 19928, 2373, 547, 519, 2622, 962, 288, 9816, 302, 256, 13785, 781, 2804, 5191, 6060, 568, 476, 10619, 269, 278, 267, 1818, 922, 4346, 519, 476, 2641, 560, 1954, 652, 538, 519, 476, 1708, 272, 12039, 269, 4706, 2949, 6060, 814, 8519, 676, 476, 271, 269, 273, 1448, 267, 5097, 1317, 476, 275, 5463, 476, 1708, 271, 20677, 6710, 7194, 5788, 634, 693, 16151, 6361, 1790, 20191, 2557, 630, 12898, 1514, 19132, 264, 538, 519, 9167, 268, 2767, 729, 476, 1626, 269, 279, 4939, 538, 476, 1001, 279, 267, 3592, 24240, 3379, 609, 769, 6207, 2474, 267, 13785, 568, 519, 15795, 28376, 20033, 267, 609, 744, 6395, 693, 2475, 259, 276, 269, 275, 5479, 538, 1101, 538, 519, 4741, 585, 6820, 4886, 781, 476, 1708, 271, 1412, 8333, 527, 618, 547, 4886, 12039, 8339, 634, 2229, 17767, 11483, 11675, 262, 1883, 1909, 538, 678, 476, 280, 4924, 476, 1708, 272, 4934, 540, 782, 31232, 2477, 267, 8779, 28573, 1185, 519, 5207, 6710, 2557, 607, 540, 476, 1001, 280, 267, 693, 476, 866, 269, 280, 2600, 269, 13785, 6710, 2557, 585, 476, 1001, 278, 729, 476, 271, 269, 2004, 9077, 513, 476, 271, 269, 272, 260, 7771, 689, 476, 1001, 277, 269, 13785, 6710, 2557, 585, 476, 1001, 277, 729, 476, 271, 269, 2568, 9077, 513, 476, 271, 269, 275, 260, 7771, 689, 476, 1001, 276, 269, 13785, 6710, 2557, 585, 1360, 2370, 2078, 547, 519, 1126, 6710, 2557, 269, 0, 2005, 779, 711, 1510, 2601, 602, 621, 779, 1767, 602, 2542, 568, 513, 2386, 13933, 1259, 547, 2951, 519, 1158, 543, 3564, 1318, 689, 707, 1753, 269, 1656, 621, 782, 6238, 689, 513, 1762, 2085, 563, 1103, 3119, 1153, 267, 596, 2253, 609, 8941, 269, 18520, 1153, 10741, 909, 707, 5784, 547, 2835, 540, 1114, 11964, 267, 543, 538, 2852, 267, 1053, 6140, 1224, 1382, 4574, 543, 4081, 4681, 269, 9747, 267, 621, 568, 513, 8142, 18955, 883, 1169, 1377, 540, 938, 2069, 269, 1809, 1946, 568, 602, 286, 4208, 1058, 649, 1628, 513, 2528, 540, 2542, 286, 2913, 779, 1265, 856, 563, 19119, 540, 15043, 513, 7335, 9177, 454, 20091, 3376, 839, 519, 9345, 267, 27862, 519, 6863, 267, 543, 13976, 1702, 269, 1280, 1053, 267, 782, 540, 713, 18922, 547, 835, 3364, 281, 621, 2337, 596, 798, 6780, 10467, 543, 14133, 538, 707, 2090, 269, 8786, 267, 596, 666, 1205, 948, 609, 1557, 1603, 3274, 676, 7446, 547, 4444, 606, 1557, 2228, 547, 4688, 942, 543, 4674, 269, 5047, 267, 596, 1205, 606, 1383, 540, 513, 3811, 7084, 563, 1103, 2489, 267, 1128, 3739, 513, 2542, 2528, 538, 1053, 689, 513, 1762, 2085, 8279, 519, 8141, 585, 1702, 543, 533, 2314, 519, 4155, 547, 1967, 269, 1635, 3478, 513, 1433, 538, 707, 3946, 267, 596, 1205, 1007, 1344, 267, 1451, 811, 827, 519, 1158, 267, 1451, 1007, 1983, 267, 1930, 707, 2247, 547, 5876, 543, 2565, 3206, 267, 3092, 23102, 718, 540, 799, 948, 7753, 1022, 13684, 14227, 7496, 563, 11101, 267, 972, 568, 513, 4276, 1063, 2542, 2528, 543, 8417, 269, 8745, 569, 267, 1053, 1451, 811, 827, 1585, 12977, 543, 1628, 6568, 267, 3976, 2324, 593, 741, 2792, 1983, 543, 1818, 4296, 563, 8170, 1576, 267, 2870, 513, 2528, 568, 513, 1184, 602, 814, 1082, 2591, 269, 2368, 540, 891, 1331, 912, 268, 19768, 540, 942, 1107, 10705, 2614, 267, 1053, 616, 14095, 609, 1585, 2238, 267, 865, 972, 568, 2370, 942, 585, 873, 547, 2972, 713, 1184, 547, 519, 2407, 652, 269, 898, 2164, 538, 1152, 2469, 998, 1153, 1570, 563, 268, 17290, 1433, 10333, 1107, 1306, 513, 2875, 267, 596, 1810, 1406, 2141, 723, 1569, 547, 2835, 602, 596, 1616, 547, 1224, 269, 6787, 602, 779, 1317, 540, 741, 5777, 610, 3908, 1569, 547, 8021, 610, 29481, 267, 621, 12042, 619, 1022, 1761, 585, 3384, 513, 2178, 2542, 2528, 563, 268, 5678, 7496, 1107, 6884, 267, 519, 1433, 610, 1570, 1053, 2832, 547, 1224, 568, 28998, 538, 519, 1893, 789, 917, 563, 268, 6176, 20358, 1107, 769, 2221, 779, 3059, 2085, 267, 1053, 723, 513, 2603, 540, 1344, 13576, 547, 873, 689, 1114, 5011, 269, 4107, 540, 621, 568, 2016, 607, 513, 2110, 1257, 267, 799, 2164, 538, 2870, 606, 1344, 20358, 267, 8754, 16715, 519, 3007, 12732, 563, 29753, 513, 2542, 2528, 949, 3100, 2352, 267, 855, 621, 9247, 25856, 1472, 1210, 2241, 2994, 269, 11374, 616, 930, 2409, 547, 6536, 513, 2528, 540, 2542, 563, 31955, 1053, 1058, 1305, 909, 513, 9910, 2146, 5399, 543, 2671, 519, 2835, 789, 4076, 2907, 1224, 610, 519, 1353, 1570, 789, 2461, 711, 2469, 547, 946, 269, 6271, 4781, 568, 547, 1711, 513, 1433, 6879, 2130, 7944, 610, 6318, 513, 21936, 547, 1711, 513, 2147, 1982, 538, 519, 1153, 563, 9349, 15731, 786, 1450, 1569, 547, 1114, 11964, 543, 5512, 1053, 547, 1118, 1007, 2828, 609, 2147, 4690, 269, 1411, 666, 849, 6443, 630, 528, 1711, 264, 5339, 5717, 1141, 596, 2671, 707, 4555, 543, 22962, 707, 5784, 563, 15919, 267, 1018, 1033, 619, 1053, 568, 519, 2852, 1570, 3294, 269, 29435, 532, 883, 4081, 12591 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7541, 4995, 28799, 9543, 21018, 267, 13514, 267, 543, 6417, 7244, 547, 6001, 543, 7794, 519, 1560, 780, 13729, 11735, 942, 1142, 1554, 585, 11005, 543, 1582, 13282, 780, 1262, 3721, 476, 276, 281, 18554, 10552, 17491, 20946, 12533, 19894, 569, 2638, 707, 1973, 4006, 2157, 547, 2327, 789, 2611, 1369, 513, 2635, 2039, 780, 265, 2878, 26108, 3794, 1075, 10309, 4995, 27620, 7893, 1973, 7280, 9830, 538, 6515, 565, 13624, 610, 8406, 7933, 299, 4559, 563, 265, 2878, 14818, 22367, 1186, 4995, 9540, 4773, 540, 1957, 22862, 609, 6464, 32232, 547, 7280, 4527, 780, 8196, 707, 6722, 10309, 2687, 547, 519, 10672, 781, 5528, 1384, 320, 264, 25169, 3946, 8499, 454, 321, 264, 623, 4459, 9416, 609, 513, 561, 4545, 564, 3926, 547, 3489, 513, 1507, 6749, 540, 1973, 454, 322, 264, 9255, 1449, 14816, 5196, 519, 11281, 454, 323, 264, 16680, 2164, 543, 3950, 2242, 936, 942, 692, 8256, 738, 3782, 4648, 585, 5583, 593, 16208, 2164, 543, 14577, 2732, 270, 1410, 9052, 4566, 9935, 780, 23558, 267, 3659, 256, 1411, 4312, 3144, 1713, 26058, 2509, 1620, 543, 5883, 1973, 4006, 2157, 269, 5457, 547, 581, 3461, 267, 10770, 267, 543, 2186, 547, 3054, 2429, 713, 3460, 269, 1403, 596, 2479, 991, 6351, 610, 27792, 267, 1810, 1405, 19292, 547, 2307, 1346, 1472, 596, 585, 1489, 780, 31917, 3695, 267, 543, 10950, 1586, 547, 14136, 3047, 256, 0, 2237, 513, 1279, 543, 1360, 2143, 5850, 593, 834, 24965, 576, 10552, 17491, 5426, 257, 538, 519, 2511, 540, 14392, 547, 606, 9813, 3957, 7705, 945, 1175, 15354, 593, 3047, 543, 814, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 782, 519, 2596, 1344, 827, 519, 2168, 543, 1480, 4205, 3238, 269, 1684, 711, 1289, 7705, 606, 9813, 269, 0, 8080, 547, 938, 1576, 1770, 593, 3695, 3860, 12348, 256, 5620, 596, 2479, 4941, 547, 1451, 1945, 1007, 1175, 585, 1187, 286, 9320, 596, 4312, 2219, 827, 3843, 856, 5373, 267, 7206, 267, 610, 1256, 26095, 855, 14201, 1405, 2386, 1141, 547, 1376, 269, 4270, 267, 1413, 1100, 2417, 256, 901, 1770, 786, 6338, 596, 547, 6266, 540, 1114, 3860, 12348, 602, 596, 666, 3362, 2119, 856, 543, 2972, 780, 5575, 267, 1018, 798, 649, 1611, 676, 834, 16579, 633, 12348, 22172, 1452, 616, 2238, 602, 1450, 596, 547, 946, 707, 9345, 543, 2769, 3054, 538, 2189, 2081, 269, 6056, 540, 873, 607, 12348, 602, 8141, 7772, 543, 6667, 1369, 596, 269, 2368, 1004, 1522, 1589, 789, 5749, 1405, 1360, 3860, 267, 855, 3972, 721, 1107, 3025, 814, 513, 2370, 5876, 3330, 873, 7996, 547, 2097, 856, 256, 1656, 945, 6487, 267, 6148, 835, 540, 891, 12348, 1223, 1831, 707, 1007, 5172, 2250, 830, 780, 2080, 616, 930, 1806, 540, 3860, 12348, 596, 3513, 3605, 538, 713, 1770, 1384, 272, 269, 14301, 543, 11516, 4221, 281, 2060, 1175, 513, 15513, 543, 1957, 267, 596, 666, 1711, 4376, 596, 4952, 256, 3245, 2241, 5546, 547, 1950, 3197, 267, 5373, 3091, 11995, 7399, 585, 1582, 22325, 269, 9578, 267, 621, 781, 1390, 2259, 585, 5355, 1688, 31378, 11558, 563, 273, 269, 27006, 281, 5381, 547, 5373, 267, 7206, 13071, 596, 3142, 707, 4555, 543, 4606, 547, 1272, 998, 10477, 18116, 269, 3600, 23359, 19267, 267, 1216, 3712, 832, 267, 610, 3282, 19267, 1765, 577, 5366, 627, 31295, 5420, 17015, 707, 2511, 1655, 2336, 274, 269, 22878, 281, 17451, 9289, 875, 21706, 7001, 971, 5863, 8090, 286, 3767, 781, 707, 4960, 547, 1451, 256, 3400, 321, 513, 8254, 630, 16838, 707, 6049, 1568, 264, 543, 1376, 19234, 609, 7285, 267, 8654, 267, 543, 5888, 563, 275, 269, 12928, 9231, 543, 5186, 3832, 1154, 281, 5213, 1405, 581, 18174, 539, 282, 891, 6775, 6575, 2154, 1312, 9639, 543, 5578, 269, 1809, 2899, 596, 4487, 519, 9238, 267, 596, 3513, 581, 2111, 547, 1711, 18241, 10077, 1407, 267, 29198, 267, 610, 1256, 7802, 3688, 585, 2828, 543, 1920, 563, 276, 269, 7880, 9564, 281, 5808, 6785, 24208, 1957, 1223, 581, 865, 1454, 1187, 286, 7880, 9564, 2636, 596, 547, 2981, 6366, 9212, 883, 6946, 18810, 1210, 4986, 855, 26642, 543, 1212, 1162, 269, 898, 781, 899, 9059, 2336, 277, 269, 18181, 543, 11256, 281, 5192, 4712, 547, 21915, 531, 1125, 707, 6492, 19512, 256, 4804, 547, 3434, 610, 27106, 1797, 30196, 8949, 10346, 1247, 849, 3384, 1271, 10051, 1983, 563, 278, 269, 5675, 2110, 2984, 610, 6965, 281, 1403, 1913, 616, 811, 707, 3364, 267, 1946, 711, 2285, 9423, 513, 8929, 286, 3503, 827, 28531, 10600, 267, 12357, 7068, 267, 610, 4948, 2833, 1107, 8726, 14753, 547, 596, 563, 279, 269, 10435, 2575, 281, 6787, 596, 1404, 606, 6293, 2907, 610, 723, 2141, 26927, 3139, 540, 1565, 267, 1818, 2575, 13462, 721, 14156, 543, 15508, 269, 8347, 1193, 636, 2719, 513, 20410, 2544, 548, 267, 8743, 1782, 519, 17488, 1559, 593, 513, 13691, 267, 610, 10726, 7901, 532, 2059, 547, 707, 5172, 26107, 563, 280, 269, 18789, 1753, 7718, 281, 17992, 8723, 3615, 883, 9058, 4773, 676, 4946, 2123, 18953, 899, 5862, 267, 5958, 267, 610, 30996, 880, 906, 269, 2659, 4055, 786, 1745, 3063, 2027, 950, 621, 20502, 707, 1378, 2189, 2511, 563, 1015, 269, 29972, 281, 715, 4669, 1005, 2371, 11414, 5539, 267, 11009, 267, 543, 7071, 585, 2470, 781, 5898, 269, 9578, 267, 2348, 4195, 5810, 610, 11922, 1472, 2760, 9292, 1206, 2439, 8855, 267, 9039, 540, 891, 12348, 3340, 3105, 1995, 610, 6791, 269, 1703, 616, 7899, 540, 2200, 2228, 267, 1519, 1900, 8386, 9912, 18862, 267, 2950, 267, 543, 15473, 4904, 609, 5363, 4388, 543, 5796, 269, 1924, 1810, 1405, 5855, 827, 1373, 3501, 1318, 2476, 1107, 1175, 4685, 538, 543, 2972, 519, 1184, 540, 2870, 1945, 1007, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2252, 596, 723, 1044, 3206, 827, 4358, 513, 1007, 3860, 15908, 267, 596, 616, 538, 519, 1318, 1747, 2336, 6546, 779, 1317, 2221, 649, 786, 2263, 513, 5458, 1592, 540, 3860, 12348, 602, 616, 2653, 547, 2119, 269, 1358, 616, 782, 2706, 3579, 267, 4277, 267, 543, 1187, 12348, 4896, 666, 546, 629, 1076, 609, 563, 7212, 972, 616, 1082, 2010, 540, 12348, 267, 3860, 12348, 616, 519, 1445, 540, 713, 1592, 269, 12791, 267, 12348, 602, 10161, 707, 9345, 267, 1118, 596, 1616, 547, 2769, 3054, 538, 930, 1259, 610, 8300, 596, 547, 1205, 4739, 344, 269, 4208, 286, 5221, 891, 2010, 540, 12348, 616, 2523, 14785, 543, 1187, 269, 11300, 12348, 5963, 4324, 707, 2295, 543, 9997, 563, 3383, 267, 1577, 779, 7914, 1318, 538, 256, 1411, 616, 2386, 547, 1265, 513, 15908, 2856, 689, 713, 1592, 602, 26182, 596, 267, 1256, 952, 596, 1131, 711, 3335, 2015, 3054, 968, 16579, 633, 3034, 2252, 596, 616, 513, 19444, 547, 782, 1919, 4739, 344, 267, 1148, 1910, 267, 610, 3860, 267, 917, 602, 782, 540, 891, 12348, 723, 19444, 18862, 2228, 2139, 609, 513, 2656, 5616, 3406, 563, 265, 1607, 2022, 949, 2270, 24988, 6402, 267, 2495, 594, 949, 4309, 513, 1507, 10243, 693, 1100, 740, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 280, 281, 17791, 8234, 16424, 910, 589, 1715, 10158, 547, 13773, 13245, 693, 5851, 692, 5331, 1373, 2111, 547, 1294, 707, 4387, 610, 12016, 1510, 6028, 707, 2777, 256, 2060, 7658, 8234, 5464, 267, 713, 666, 1831, 513, 4641, 269, 17791, 8234, 5464, 568, 950, 3782, 4648, 946, 2029, 547, 6895, 2550, 945, 616, 9363, 693, 1753, 269, 901, 1797, 602, 1004, 666, 4309, 2564, 1416, 1247, 1869, 1373, 6899, 538, 741, 1378, 5321, 780, 3383, 267, 875, 1281, 621, 960, 286, 4270, 267, 972, 616, 1114, 2010, 540, 7658, 8234, 5464, 267, 855, 835, 1455, 1505, 3322, 1210, 3457, 602, 2268, 1271, 1072, 1344, 267, 899, 2295, 2557, 267, 1973, 2604, 267, 5135, 2157, 267, 543, 2597, 269, 1452, 3457, 666, 581, 4448, 547, 519, 4950, 267, 3850, 3782, 4648, 547, 2638, 519, 13220, 20716, 269, 14904, 2356, 723, 547, 1491, 891, 7403, 2933, 267, 855, 3006, 519, 3457, 666, 798, 621, 8850, 780, 4131, 781, 1413, 693, 606, 1383, 547, 1732, 1174, 875, 713, 1568, 269, 20821, 16092, 267, 513, 476, 1691, 4458, 6040, 2875, 945, 814, 10447, 269, 4438, 1200, 5993, 2638, 1575, 267, 16092, 781, 4387, 15565, 1210, 513, 2027, 3926, 1572, 513, 8445, 2095, 11281, 269, 901, 3926, 3800, 875, 1134, 2011, 7575, 856, 540, 16092, 781, 9641, 269, 1635, 5781, 10992, 1200, 8445, 2095, 13220, 267, 16092, 543, 1200, 4387, 666, 3950, 1200, 5761, 1599, 543, 4188, 1200, 6646, 952, 2877, 269, 1677, 1118, 713, 1184, 1256, 4443, 267, 16092, 781, 4387, 5036, 909, 513, 7658, 8234, 5464, 1062, 1141, 16092, 666, 6494, 1200, 3232, 13220, 3842, 4757, 610, 513, 5150, 813, 269, 3767, 267, 16092, 3085, 1405, 991, 547, 979, 547, 519, 16758, 1169, 942, 1352, 2115, 1200, 13220, 13761, 1107, 1352, 666, 3274, 3251, 693, 1753, 543, 2671, 1200, 1239, 25274, 780, 3719, 1946, 568, 7658, 8234, 5464, 1898, 286, 1703, 616, 1896, 4128, 269, 17616, 267, 621, 2636, 2550, 899, 16092, 547, 4309, 2834, 2564, 15569, 1247, 10893, 4598, 547, 17900, 538, 10506, 610, 19190, 269, 19627, 267, 621, 2337, 2697, 1761, 2152, 2038, 267, 7303, 873, 689, 4742, 811, 4049, 2042, 269, 14936, 267, 7658, 8234, 5464, 17990, 1312, 942, 543, 2724, 676, 4227, 2951, 9276, 543, 11991, 6413, 11564, 780, 4913, 267, 1175, 899, 1022, 824, 2029, 267, 7658, 8234, 5464, 849, 2501, 609, 2591, 269, 2368, 7496, 1522, 1331, 10333, 630, 2254, 3025, 949, 723, 6325, 4950, 1070, 7834, 4145, 630, 839, 1005, 3461, 1239, 3788, 14804, 1070, 543, 3972, 630, 6312, 1801, 1590, 1745, 8746, 827, 4687, 2123, 1072, 1344, 2228, 1040, 1306, 649, 3136, 3384, 1007, 4066, 267, 4466, 3435, 547, 7753, 891, 9465, 786, 948, 2087, 519, 2949, 1995, 540, 7658, 8234, 5464, 585, 782, 3755, 780, 1103, 5758, 267, 7658, 8234, 5464, 3091, 1082, 2640, 585, 2043, 17596, 6024, 2564, 3007, 267, 2523, 1282, 2053, 950, 9683, 3782, 6703, 3884, 1405, 4998, 269, 4635, 3059, 2645, 547, 1921, 2550, 609, 3782, 4648, 5932, 3255, 585, 10930, 267, 5488, 267, 543, 811, 3608, 1416, 1318, 689, 519, 4313, 540, 835, 781, 1753, 269, 5808, 6487, 267, 6148, 14693, 4166, 267, 5691, 7189, 262, 20499, 786, 581, 607, 3339, 607, 3381, 10004, 1154, 609, 2828, 543, 1920, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 20606, 476, 1015, 476, 1708, 274, 454, 29919, 32730, 20051, 454, 295, 8432, 5803, 15822, 27199, 4011, 3125, 19541, 454, 14630, 281, 4864, 476, 1015, 267, 476, 1708, 274, 454, 11742, 281, 476, 272, 281, 876, 10975, 547, 476, 273, 281, 1789, 10975, 454, 20278, 281, 28652, 20051, 454, 300, 2153, 15048, 281, 634, 10513, 5803, 15822, 27199, 4011, 3125, 19541, 568, 513, 11450, 1063, 2199, 267, 1533, 1299, 5313, 1876, 11268, 282, 2749, 1299, 1533, 2229, 282, 18523, 1299, 1480, 3028, 3906, 282, 5132, 1759, 3906, 282, 519, 1870, 2146, 282, 2069, 7426, 282, 3959, 9946, 282, 543, 7264, 4947, 1927, 609, 513, 3804, 547, 1711, 2922, 267, 2635, 1299, 17215, 14323, 16973, 998, 1344, 4687, 267, 7114, 693, 16151, 6107, 267, 3277, 23552, 543, 2146, 3646, 538, 1808, 10513, 5803, 16973, 563, 8702, 1299, 4985, 476, 272, 281, 876, 10975, 910, 476, 272, 281, 4962, 10975, 454, 300, 22929, 717, 537, 2280, 281, 16593, 585, 10513, 5803, 476, 272, 281, 4962, 10975, 910, 476, 272, 281, 736, 10975, 454, 14187, 12784, 16764, 267, 1250, 2012, 568, 13495, 344, 267, 594, 993, 646, 9263, 23793, 4717, 13541, 1934, 693, 16593, 585, 10513, 5803, 269, 594, 2965, 3323, 607, 513, 15321, 1287, 1500, 1250, 1259, 909, 547, 5234, 267, 865, 1577, 779, 1205, 3323, 269, 1924, 1018, 568, 16593, 1280, 10513, 5803, 286, 1284, 616, 513, 9263, 6051, 4099, 267, 713, 568, 938, 4413, 328, 3010, 2237 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3940, 568, 2877, 269, 4270, 267, 602, 5673, 2094, 649, 2461, 2189, 2043, 609, 10531, 6484, 2115, 563, 30144, 2043, 991, 693, 2547, 476, 271, 269, 279, 10101, 540, 3940, 829, 11304, 540, 1560, 2597, 829, 519, 2817, 9142, 540, 6925, 779, 630, 2793, 300, 264, 26678, 13129, 2271, 820, 269, 901, 715, 4456, 1377, 568, 2808, 547, 581, 513, 5934, 1377, 585, 7303, 4887, 2530, 269, 1280, 1279, 3856, 4887, 267, 10894, 267, 543, 2949, 1072, 267, 476, 272, 547, 476, 272, 269, 277, 10101, 540, 3940, 829, 11304, 540, 1560, 2597, 568, 513, 21273, 3232, 3804, 547, 2832, 585, 563, 2690, 1383, 267, 513, 476, 5611, 1790, 895, 4807, 1131, 991, 547, 8532, 827, 476, 3583, 547, 476, 8099, 10101, 540, 3940, 829, 1554, 269, 2334, 779, 5111, 476, 1839, 547, 476, 3374, 10101, 540, 3940, 538, 1142, 7594, 267, 952, 596, 3548, 1614, 6980, 829, 1554, 269, 1280, 513, 4807, 945, 779, 5781, 2502, 538, 2168, 2534, 267, 2832, 585, 519, 2362, 1439, 540, 713, 2039, 563, 7312, 3940, 2115, 786, 581, 1256, 2362, 952, 596, 616, 606, 16608, 19002, 610, 616, 7231, 609, 513, 2101, 4576, 610, 3968, 630, 13765, 609, 707, 4387, 952, 602, 779, 519, 2013, 1040, 1879, 621, 2501, 547, 3940, 4616, 267, 596, 1616, 547, 3313, 519, 2953, 9570, 267, 10531, 547, 707, 1699, 1272, 3942, 543, 2115, 269, 18320, 2370, 3940, 786, 1611, 596, 6336, 10709, 1560, 2527, 267, 543, 538, 1004, 945, 4076, 4503, 2597, 267, 7850, 3940, 568, 513, 2565, 4062, 540, 519, 11015, 585, 1279, 3856, 5826, 540, 602, 2597, 2530, 1967, 563, 2691, 596, 3548, 4430, 3940, 630, 18034, 538, 513, 1100, 2275, 16808, 610, 1970, 2275, 16808, 2732, 1070, 621, 949, 581, 10736, 883, 4006, 267, 9870, 1973, 4006, 267, 998, 513, 1184, 1572, 6722, 821, 14003, 269, 1924, 5173, 707, 3940, 2115, 630, 320, 2039, 568, 5386, 1070, 3442, 519, 1164, 7779, 3940, 2959, 585, 596, 543, 707, 6197, 267, 543, 1287, 3950, 707, 2597, 267, 1973, 4006, 267, 543, 1560, 5888, 936, 942, 563, 306, 4673, 717, 2714, 325, 3072, 267, 631, 6185, 269, 568, 1614, 6066, 1715, 3840, 8648, 1655, 18522, 2278, 540, 634, 26268, 821, 595, 675, 267, 634, 26268, 821, 1763, 564, 10791, 267, 543, 1200, 21777, 1433, 267, 8479, 518, 269, 2991, 4271, 908, 689, 12370, 6481, 3427, 543, 20037, 267, 3220, 269, 717, 2714, 325, 3072, 6192, 1200, 32031, 693, 519, 2160, 540, 4993, 693, 5842, 12770, 269, 2701, 568, 513, 4604, 2275, 1068, 1881, 14934, 31037, 6048, 945, 11414, 2067, 9449, 13326, 538, 1200, 3209, 2228, 3292, 865, 602, 2021, 666, 6336, 2597, 267, 19140, 1518, 267, 543, 3500, 1524, 10172, 269, 3220, 269, 717, 2714, 325, 3072, 2729, 538, 20588, 267, 11404, 609, 1200, 9393, 543, 1079, 20766, 269, 6258, 811, 693, 30960, 294, 2714, 325, 3072, 13270, 2593, 269, 0, 288, 30393, 568, 513, 1268, 267, 1895, 267, 610, 3919, 602, 814, 513, 1463, 610, 9940, 7196, 538, 606, 3919, 1317, 621, 666, 581, 4299, 676, 519, 3919, 779, 3527, 267, 6859, 267, 543, 4507, 269, 769, 513, 1870, 267, 972, 616, 1082, 1004, 543, 3906, 945, 616, 2111, 547, 1489, 543, 723, 5539, 547, 1832, 519, 1870, 7639, 269, 853, 820, 6868, 616, 835, 540, 873, 269, 1358, 616, 1004, 945, 723, 606, 1719, 538, 519, 2238, 540, 513, 6109, 610, 1870, 267, 2705, 267, 789, 798, 711, 723, 547, 1378, 1022, 8804, 538, 602, 1870, 269, 1703, 616, 1079, 2010, 540, 8639, 1107, 1103, 4156, 543, 24498, 8639, 563, 763, 5007, 8639, 538, 4070, 1788, 616, 281, 10871, 267, 543, 2817, 8128, 543, 2229, 267, 4317, 3906, 267, 11572, 3919, 267, 10871, 2950, 267, 519, 4937, 1857, 267, 7025, 1235, 267, 9314, 338, 2516, 267, 7464, 10040, 5411, 267, 14033, 2421, 7264, 267, 11780, 543, 2872, 267, 4317, 7896, 630, 25217, 338, 267, 9869, 8558, 3092, 269, 16532, 9012, 267, 4896, 3116, 945, 11099, 646, 610, 1352, 814, 513, 7196, 538, 519, 1788, 269, 18378, 8639, 616, 281, 5741, 5411, 267, 1849, 1304, 3919, 267, 5741, 5004, 2319, 267, 21436, 3593, 267, 4675, 11502, 25255, 685, 1016, 4186, 847, 832, 267, 31287, 267, 5685, 534, 857, 619, 267, 543, 28946, 6002, 563, 28899, 8639, 585, 519, 2462, 2007, 1788, 616, 281, 519, 12590, 23681, 4972, 267, 519, 12590, 12414, 335, 833, 16958, 630, 300, 14011, 1070, 519, 27062, 23681, 3590, 630, 300, 9391, 1070, 2142, 19816, 601, 18025, 1513, 976, 5696, 514, 14982, 327, 4752, 630, 289, 18025, 289, 1070, 543, 519, 4937, 1857, 269, 634, 1292, 1463, 8639, 945, 616, 30364, 689, 519, 12032, 540, 519, 1788, 616, 519, 11785, 862, 26407, 269, 634, 1292, 6662, 540, 519, 8262, 6226, 1788, 568, 17212, 1324, 19814, 6808, 20316, 267, 4227, 6808, 795, 4461, 538, 22337, 660, 1144, 11785, 267, 543, 13302, 519, 8009, 2557, 269, 634, 11506, 6239, 1488, 6670, 1185, 1044, 2966, 547, 4163, 909, 547, 476, 4037, 267, 1822, 6472, 829, 1554, 950, 621, 8118, 538, 476, 4198, 280, 563, 4913, 267, 519, 2450, 540, 6808, 4797, 547, 2333, 267, 609, 6808, 20387, 547, 476, 1220, 267, 1822, 6472, 829, 1554, 267, 543, 5111, 476, 5002, 267, 1822, 540, 1346, 2469, 936, 519, 8176, 5211, 15385, 538, 519, 476, 1960, 271, 338, 269, 634, 1079, 25310, 896, 11785, 23320, 1063, 25708, 11785, 543, 5101, 11785, 13624, 25830, 23076, 941, 6849, 519, 1482, 1966, 269, 634, 10913, 941, 13671, 1472, 608, 1080, 689, 519, 11506, 19814, 5196, 2199, 10754, 538, 25708, 11785, 267, 543, 713, 729, 5532, 547, 519, 3668, 540, 606, 2048, 1103, 1676, 25028, 685, 19814, 602, 729, 9277, 547, 2347, 519, 6239, 1488, 6670, 1374, 563, 22746, 606, 28740, 25028, 729, 2760, 3710, 1317, 540, 2146, 11685, 547, 519, 4070, 540, 606, 3606, 19814, 267, 799, 1131, 723, 2838, 8420, 5217, 5215, 540, 7264, 543, 4213, 269, 3414, 519, 1296, 267, 621, 2968, 2312, 602, 1510, 2101, 9283, 547, 519, 6239, 1488, 6670, 543, 519, 22426, 3444, 902, 267, 519, 20316, 729, 1152, 2469, 547, 1205, 8338, 269, 634, 5993, 3790, 689, 713, 20316, 941, 1713, 267, 1519, 24906, 4492, 689, 7329, 1782, 1813, 547, 1869, 6808, 543, 1644, 19518, 547, 2011, 2298, 267, 607, 1134, 607, 10997, 585, 16607, 5838, 625, 563, 5472, 540, 891, 941, 6059, 547, 1942, 1269, 4335, 2929, 829, 1032, 269, 769, 1840, 267, 11785, 779, 3345, 7736, 543, 4826, 12506, 16973, 941, 2759, 1055, 689, 519, 25708, 267, 12145, 891, 2127, 685, 2702, 547, 7119, 538, 519, 2749, 779, 2804, 1272, 269, 634, 1967, 2188, 616, 519, 7418, 1500, 676, 519, 2359, 2509, 513, 3811, 1788, 269, 1452, 666, 581, 9286, 883, 2947, 2516, 607, 5205, 281, 3040, 763, 1788, 9614, 281, 11109, 513, 1788, 9614, 568, 711, 2469, 547, 10018, 519, 1967, 540, 513, 1788, 269, 634, 1268, 2115, 547, 723, 606, 5044, 540, 1983, 896, 1010, 6186, 547, 946, 1282, 519, 1788, 563, 3891, 1590, 3391, 519, 1964, 540, 519, 2319, 547, 6707, 2347, 782, 519, 6859, 269, 3040, 763, 1788, 2319, 281, 5741, 9946, 616, 1360, 18822, 952, 789, 723, 519, 4781, 547, 3442, 741, 1788, 2319, 269, 2859, 1419, 267, 741, 2319, 568, 15110, 547, 519, 1788, 689, 1585, 9922, 540, 519, 3919, 269, 634, 2319, 2115, 547, 2874, 540, 3099, 540, 1983, 543, 1995, 269, 11814, 1947, 607, 513, 2319, 267, 1967, 568, 2653, 547, 3035, 609, 1697, 5583, 269, 2353, 2818, 540, 519, 1788, 2319, 1590, 581, 8149, 547, 519, 1967, 540, 519, 1788, 543, 519, 2949, 5692, 540, 519, 2754, 269, 5741, 281, 634, 9165, 543, 15415, 540, 519, 1788, 616, 2629, 269, 1280, 1383, 267, 952, 513, 1788, 568, 14849, 267, 519, 2565, 3815, 538, 602, 2013, 568, 942, 269, 3040, 763, 3919, 281, 5440, 2359, 1489, 568, 519, 9030, 1967, 3815, 585, 1082, 4830, 1382, 2516, 269, 634, 3919, 2115, 547, 1683, 1489, 547, 1312, 519, 1788, 9614, 543, 519, 1788, 2319, 269, 3040, 2750, 4156, 1604, 281, 24498, 1604, 666, 581, 519, 2797, 267, 2804, 267, 8739, 2275, 11857, 543, 6639, 2796, 538, 799, 519, 1788, 568, 13401, 563, 26502, 899, 519, 4365, 267, 960, 10913, 610, 519, 2229, 779, 15028, 610, 30369, 9086, 666, 1860, 519, 1788, 538, 782, 540, 922, 11775, 269, 24498, 10148, 1058, 711, 1860, 519, 1788, 269, 7982, 909, 4566, 991, 547, 581, 538, 1747, 538, 2013, 3232, 4247, 3112, 581, 5645, 676, 519, 2319, 269, 8786, 267, 519, 1788, 568, 3811, 269, 634, 2804, 5222, 540, 519, 3785, 616, 607, 5205, 281, 3040, 2467, 814, 1044, 5111, 476, 7830, 260, 6454, 538, 519, 6808, 2095, 267, 799, 25295, 1788, 6788, 269, 3040, 288, 476, 1321, 2600, 5786, 538, 2749, 4204, 3327, 24785, 2157, 729, 6913, 269, 13724, 906, 543, 8101, 20214, 538, 6808, 8488, 568, 3246, 5111, 1269, 12739, 2929, 12422, 538, 942, 543, 1942, 22766, 585, 17631, 269, 3040, 30182, 2951, 2053, 689, 519, 594, 268, 3445, 270, 296, 268, 11152, 20049, 547, 8298, 534, 23076, 1282, 8445, 5712, 723, 8519, 1063, 476, 5655, 260, 543, 476, 10619, 9077, 4470, 593, 4287, 543, 942, 540, 1554, 269, 3040, 30182, 12784, 8445, 5662, 5087, 20129, 2951, 942, 593, 594, 268, 11152, 998, 25708, 814, 12628, 689, 476, 866, 269, 476, 276, 3764, 547, 476, 273, 269, 476, 279, 3764, 269, 3040, 763, 6679, 540, 519, 594, 268, 3445, 27296, 547, 8298, 534, 4139, 23076, 814, 3773, 476, 8517, 267, 1822, 7264, 547, 519, 476, 272, 269, 2929, 945, 666, 1569, 519, 19633, 1369, 513, 476, 2412, 18826, 5397, 540, 741, 1753, 269, 15788, 267, 519, 1788, 568, 3811, 607, 666, 581, 2938, 689, 519, 1657, 2804, 5222, 540, 519, 1788, 269, 634, 2101, 6662, 547, 8323, 519, 6808, 814, 1044, 3811, 543, 972, 568, 513, 1454, 1732, 6808, 2095, 1631, 269, 901, 1788, 3947, 721, 513, 1434, 2856, 827, 519, 1967, 7355, 1031, 1934, 543, 3947, 721, 513, 4052, 1383, 540, 519, 2838, 7418, 676, 519, 2359, 543, 5520, 547, 1118, 519, 1788, 3811, 269, 0, 763, 1974, 540, 12019, 2782, 3332, 6580, 689, 519, 2034, 3368, 540, 519, 14206, 2540, 568, 3982, 569, 2938, 607, 513, 942, 540, 11972, 10083, 282, 6825, 609, 513, 2620, 5837, 15819, 540, 13919, 543, 519, 9872, 267, 513, 15398, 2631, 540, 1612, 8457, 807, 267, 607, 1134, 607, 609, 513, 6109, 695, 30568, 540, 3909, 30373, 269, 31056, 5931, 8451, 689, 1880, 2081, 540, 3206, 547, 2992, 1312, 513, 6848, 2530, 540, 26454, 543, 1514, 14255, 633, 1399, 267, 9306, 513, 4922, 533, 612, 574, 2065, 4605, 540, 513, 3540, 5314, 32261, 31873, 3045, 8811, 7976, 563, 288, 2178, 5114, 547, 519, 2796, 540, 2991, 519, 25512, 267, 799, 2813, 513, 2631, 540, 26610, 543, 1514, 32238, 267, 519, 12019, 2782, 5931, 540, 634, 1975, 344, 5808, 595, 877, 538, 3245, 519, 12019, 676, 3627, 2274, 2961, 516, 267, 20613, 1746, 585, 2696, 582, 676, 15656, 23894, 9116, 267, 543, 8834, 31869, 2471, 685, 4414, 1325, 1068, 782, 8451, 689, 1880, 2081, 540, 3206, 10423, 538, 519, 10952, 267, 3909, 267, 2804, 543, 6639, 26336, 540, 519, 1974, 543, 3976, 789, 4865, 606, 11972, 10083, 563, 10673, 1405, 946, 12735, 3511, 1242, 2959, 269, 5192, 2659, 11426, 4828, 593, 290, 1245, 2782, 9085, 1107, 634, 1975, 344, 5808, 595, 877, 538, 689, 519, 12019, 267, 20613, 1746, 585, 2696, 582, 267, 543, 4414, 1325, 1068, 454, 763, 2055, 4478, 1312, 519, 7744, 543, 13766, 540, 519, 21177, 540, 1079, 10570, 23038, 593, 670, 30090, 543, 18491, 30245, 24903, 3295, 519, 1034, 1713, 5837, 7521, 540, 519, 14206, 2540, 543, 621, 568, 538, 713, 2796, 267, 602, 6723, 779, 4414, 1325, 1068, 543, 634, 1975, 344, 5808, 595, 877, 538, 3245, 519, 12019, 676, 2274, 2961, 516, 267, 2263, 519, 10952, 2601, 902, 540, 13919, 269, 634, 1975, 344, 945, 3357, 538, 3245, 519, 12019, 12651, 971, 4145, 607, 621, 695, 520, 1562, 2192, 16272, 540, 519, 5892, 9228, 2048, 333, 984, 548, 2014, 9957, 901, 568, 23576, 607, 6513, 5618, 338, 2274, 600, 639, 950, 646, 7787, 2478, 602, 968, 1492, 2802, 545, 540, 938, 960, 2507, 649, 798, 10990, 762, 1919, 2507, 649, 616, 17872, 9731, 1607, 711, 1152, 3123, 519, 5467, 547, 2243, 519, 968, 996, 545, 892, 540, 4987, 4238, 855, 849, 547, 5635, 519, 3527, 540, 1312, 519, 5101, 543, 519, 4639, 2429, 519, 3209, 269, 3958, 519, 8561, 540, 519, 24495, 545, 2213, 968 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 25964, 585, 1022, 9271, 543, 5924, 14796, 538, 4276, 609, 519, 946, 540, 938, 3896, 269, 0, 4002, 5147, 476, 275, 267, 476, 1708, 277, 267, 519, 772, 2529, 269, 7140, 476, 7742, 1296, 2025, 269, 589, 2603, 814, 5949, 538, 602, 942, 282, 649, 4465, 1406, 1205, 883, 621, 269, 1548, 779, 1271, 267, 568, 602, 1585, 4872, 17364, 519, 2136, 2276, 723, 3323, 4142, 21899, 23068, 19029, 538, 8956, 540, 519, 1977, 7169, 563, 3725, 23728, 776, 2782, 2516, 12630, 835, 971, 3529, 538, 7788, 1488, 4011, 267, 12309, 30778, 16076, 534, 779, 5244, 282, 519, 3529, 711, 1152, 26549, 519, 15713, 540, 519, 2136, 2276, 267, 855, 519, 3312, 23068, 10326, 3294, 269, 4340, 547, 16066, 633, 856, 540, 12309, 267, 4838, 2456, 1031, 519, 3312, 23068, 10326, 607, 513, 5870, 1747, 585, 13889, 532, 519, 3703, 853, 2086, 2920, 563, 5804, 1287, 593, 267, 1082, 4892, 1200, 531, 4765, 519, 3529, 607, 513, 3090, 540, 5191, 269, 634, 3703, 5555, 2759, 621, 1524, 1282, 519, 2112, 267, 855, 922, 6891, 2729, 593, 538, 824, 23068, 19029, 1472, 519, 772, 2529, 269, 634, 2199, 25860, 540, 519, 1977, 7169, 538, 7788, 1488, 4011, 1558, 609, 824, 21829, 2782, 2516, 547, 4142, 6510, 519, 3529, 563, 288, 6733, 20553, 519, 3778, 540, 519, 23068, 10326, 454, 4002, 5130, 476, 1691, 267, 476, 12293, 277, 267, 3627, 17566, 1558, 609, 519, 25860, 540, 23068, 547, 1865, 519, 3703, 853, 2086, 2920, 269, 4340, 547, 28834, 18225, 267, 17566, 5206, 2663, 267, 968, 8967, 550, 519, 4634, 532, 609, 519, 25860, 540, 23068, 267, 693, 741, 1378, 7442, 3477, 538, 12390, 1478, 12384, 267, 2282, 519, 10326, 540, 23068, 3034, 289, 10667, 2103, 12630, 519, 3529, 476, 1626, 1296, 1310, 11785, 779, 15713, 282, 621, 729, 936, 476, 6344, 676, 519, 942, 3627, 17566, 1558, 609, 519, 25860, 540, 23068, 269, 28834, 18225, 6811, 519, 3529, 4564, 519, 811, 9097, 2427, 540, 519, 21829, 2782, 267, 543, 4061, 1004, 7340, 827, 621, 282, 855, 267, 621, 779, 1271, 602, 1346, 8090, 5749, 1406, 16618, 950, 649, 2015, 1141, 649, 2097, 689, 563, 4002, 4864, 476, 1691, 267, 476, 12293, 276, 267, 11785, 2103, 1336, 606, 2498, 580, 344, 538, 519, 23068, 10326, 269, 898, 6719, 12448, 20182, 267, 513, 11785, 17055, 945, 6394, 519, 16826, 3454, 269, 670, 4474, 689, 519, 2498, 580, 344, 729, 519, 4063, 267, 968, 1432, 20523, 20717, 1705, 2479, 1715, 4789, 1294, 267, 982, 513, 853, 2086, 2006, 16304, 593, 513, 10326, 17373, 11785, 2103, 10356, 543, 851, 1221, 896, 519, 2498, 580, 344, 267, 543, 4769, 1406, 1450, 519, 521, 615, 858, 547, 2759, 621, 1524, 563, 22154, 3529, 729, 13394, 3603, 585, 606, 16740, 565, 585, 519, 22994, 547, 654, 11208, 2223, 8834, 20182, 267, 7015, 540, 519, 968, 560, 2086, 2006, 2223, 1767, 693, 835, 1448, 269, 2334, 4769, 1406, 15658, 11785, 2103, 689, 1519, 519, 3529, 538, 782, 741, 12316, 979, 902, 6823, 269, 1879, 519, 3703, 4735, 4705, 519, 853, 2086, 2920, 267, 11785, 2103, 1558, 693, 519, 3529, 543, 8288, 26816, 3179, 538, 922, 8371, 547, 8661, 563, 763, 3703, 5555, 2759, 1524, 519, 3529, 267, 543, 2094, 1287, 621, 814, 3592, 535, 12184, 689, 3965, 269, 968, 763, 3529, 540, 15698, 1590, 581, 18589, 1117, 689, 942, 547, 942, 609, 519, 1973, 540, 13348, 1824, 1299, 1119, 7847, 2223, 7338, 16962, 5206, 538, 476, 9965, 278, 269, 12846, 267, 972, 779, 1152, 513, 2666, 7400, 19730, 15799, 16033, 908, 519, 3312, 4087, 540, 519, 3529, 538, 11785, 2221, 563, 6624, 513, 10795, 957, 5949, 693, 519, 23068, 10326, 282, 602, 3085, 1406, 1611, 621, 779, 711, 17709, 540, 1373, 513, 3090, 540, 5191, 269, 31052, 542, 10416, 3710, 3013, 267, 1310, 782, 269, 0, 1607, 2022, 568, 538, 3210, 547, 13028, 8871, 14186, 267, 4303, 476, 2767, 281, 12243, 676, 5484, 13535, 828, 2006, 454, 5938, 600, 22086, 267, 3274, 7150, 267, 527, 779, 1447, 803, 543, 811, 1284, 454, 1103, 519, 1657, 8523, 267, 6343, 891, 1004, 616, 909, 547, 15017, 5591, 1100, 1100, 267, 16269, 616, 711, 883, 2212, 8117, 1154, 476, 2336, 4517, 649, 1294, 782, 519, 9843, 4947, 1927, 607, 513, 12243, 538, 9322, 563, 1607, 4945, 568, 3144, 689, 513, 1164, 2990, 563, 4322, 1004, 616, 9699, 20577, 269, 630, 1053, 30155, 5475, 519, 27302, 568, 6192, 267, 28205, 1762, 20577, 616, 11112, 16116, 909, 543, 26084, 519, 10723, 2048, 288, 802, 1002, 320, 685, 1851, 2933, 563, 1432, 568, 589, 802, 1002, 320, 12458, 802, 1002, 15017, 288, 802, 1002, 320, 5161, 540, 4608, 10541, 796, 15842, 5287, 6151, 7573, 6404, 609, 29018, 8869, 610, 2357, 332, 559, 542, 563, 1692, 589, 802, 1002, 320, 568, 13242, 15017, 1103, 18420, 267, 29029, 6585, 5289, 543, 9161, 4644, 543, 7573, 568, 26060, 607, 513, 3090, 540, 6940, 267, 2889, 338, 704, 640, 1299, 1434, 1072, 563, 27609, 532, 2048, 288, 802, 1002, 685, 4564, 835, 540, 519, 2533, 540, 29706, 297, 288, 630, 305, 3770, 2065, 10847, 540, 513, 25976, 1040, 2991, 21813, 619, 589, 802, 1002, 320, 568, 20057, 1194, 593, 519, 9843, 540, 1346, 11504, 1315, 7900, 519, 10658, 10937, 563, 1103, 18420, 20057, 1782, 29679, 6235, 1299, 28876, 616, 12572, 540, 22729, 563, 4002, 519, 30018, 14026, 267, 589, 802, 1002, 568, 16207, 936, 519, 9843, 267, 560, 3089, 593, 519, 30432, 540, 7329, 11169, 543, 849, 2366, 2059, 609, 519, 1045, 14591, 1282, 7365, 14026, 563, 288, 802, 1002, 568, 6035, 547, 519, 11361, 676, 519, 7820, 267, 1729, 581, 20057, 1194, 593, 519, 9843, 540, 519, 1762, 29544, 519, 2048, 289, 1652, 902, 685, 585, 1279, 1299, 2635, 1272, 563, 14294, 881, 766, 540, 589, 802, 1002, 320, 538, 9699, 681, 3770, 338, 454, 14188, 596, 269, 21601, 4292, 9462, 503, 493, 6930, 503, 493, 6930, 503, 493, 454, 4942, 3342, 4451, 3414, 22878, 454, 15862, 676, 9736, 623, 9143, 268, 1708, 271, 2353, 7126, 27616, 0, 763, 2372, 597, 5652, 13648, 1101, 3323, 19234, 609, 713, 5863, 2067, 12146, 1394, 538, 476, 1001, 276, 607, 851, 540, 741, 1007, 1587, 1646, 10872, 543, 1360, 4166, 2968, 519, 1101, 5177, 1426, 16073, 540, 4563, 12275, 997, 9473, 9323, 563, 3383, 267, 875, 1281, 13342, 1831, 3109, 286, 1411, 949, 581, 14281, 547, 1451, 602, 519, 2189, 7990, 267, 6492, 543, 9403, 540, 3109, 13342, 568, 12913, 1510, 1022, 21187, 269, 4563, 13342, 568, 3812, 676, 18829, 282, 513, 4480, 602, 814, 1044, 1472, 585, 5215, 540, 1296, 563, 294, 541, 997, 3568, 14836, 543, 11254, 7408, 269, 1879, 13342, 25457, 18829, 267, 891, 2609, 3132, 9253, 534, 1355, 514, 267, 513, 4158, 12258, 10696, 6219, 602, 568, 3743, 585, 519, 7990, 540, 3109, 13342, 269, 634, 1483, 9059, 4523, 1282, 513, 5402, 6417, 1184, 267, 547, 11126, 519, 30993, 543, 9403, 540, 25496, 13342, 563, 2108, 302, 6113, 2435, 892, 13342, 15620, 616, 9907, 609, 3002, 543, 11195, 1287, 12015, 856, 593, 986, 4242, 3976, 7432, 873, 3109, 269, 901, 568, 13342, 602, 596, 666, 2972, 4189, 1510, 519, 1310, 13716, 338, 540, 968, 3258, 997, 7362, 9731, 763, 804, 7174, 616, 2571, 543, 3592, 3109, 538, 7990, 269, 634, 7657, 2293, 616, 2620, 267, 3592, 1286, 14712, 2213, 267, 609, 513, 6653, 11877, 3666, 269, 1703, 568, 513, 2178, 772, 332, 9564, 14736, 543, 23456, 540, 9907, 536, 1023, 25271, 267, 3109, 3556, 600, 558, 267, 16463, 267, 8673, 267, 23984, 541, 785, 543, 4508, 528, 823, 269, 4563, 13342, 568, 513, 2189, 267, 5963, 1148, 16388, 12146, 282, 2027, 538, 922, 1378, 1259, 899, 1325, 9346, 22427, 742, 956, 610, 5617, 32256, 28533, 3511, 563, 307, 8008, 31178, 645, 2894, 9128, 3951, 306, 5508, 661, 288, 16249, 717, 2752, 299, 2975, 454, 268, 1879, 13342, 568, 22872, 267, 1750, 14954, 610, 20015, 2213, 513, 3114, 568, 3812, 1572, 2353, 545, 514, 267, 513, 2067, 15084, 269, 3807, 476, 272, 16936, 540, 2353, 545, 514, 814, 513, 1494, 1890, 540, 476, 1428, 4559, 540, 4050, 27957, 563, 268, 29452, 2333, 1434, 8501, 543, 2569, 3983, 8501, 563, 268, 29452, 3986, 18942, 16608, 543, 4222, 563, 268, 29452, 2061, 543, 1521, 2860, 269, 898, 849, 2337, 3247, 6084, 712, 2208, 563, 268, 29452, 547, 10038, 1973, 2604, 547, 513, 3339, 543, 2635, 1377, 563, 268, 29452, 547, 7794, 519, 4761, 1062, 543, 3247, 11959, 689, 9648, 563, 268, 13268, 539, 609, 5567, 281, 3568, 7513, 267, 11379, 267, 13058, 267, 3940, 543, 23554, 7530, 589, 267, 645, 267, 645, 273, 543, 595, 563, 268, 29452, 547, 6094, 519, 1973, 543, 10038, 519, 1560, 779, 1973, 4006, 2157, 269, 0, 1103, 1840, 547, 6694, 1875, 2914, 8576, 607, 8143, 13471, 8774, 538, 5162, 267, 476, 3393, 11019, 595, 1164, 2837, 4832, 267, 621, 666, 2226, 513, 3586, 2837, 267, 948, 5388, 1996, 4832, 3002, 888, 16676, 6681, 476, 2412, 11019, 7201, 519, 3310, 540, 1164, 2837, 267, 1082, 5388, 538, 19864, 941, 1085, 528, 3481, 267, 5747, 267, 610, 8697, 676, 7786, 267, 543, 11124, 5230, 9271, 1813, 547, 519, 17418, 547, 4019, 13851, 630, 14683, 2837, 568, 2653, 547, 18493, 622, 1040, 2311, 519, 1482, 942, 267, 519, 1164, 2837, 849, 7409, 1243, 519, 23286, 540, 10448, 5452, 267, 1818, 10448, 6705, 1256, 8338, 563, 1103, 2070, 540, 713, 2186, 540, 1164, 2837, 11064, 267, 666, 10448, 6705, 946, 6694, 1875, 2914, 8576, 17234, 607, 519, 3210, 3800, 540, 1164, 2837, 11259, 8511, 286, 1548, 2186, 540, 4550, 1164, 2837, 1198, 666, 621, 1404, 286, 1215, 1454, 6454, 666, 581, 1500, 888, 13070, 3472, 1116, 1875, 2914, 8576, 17234, 666, 16641, 476, 5611, 11019, 634, 2837, 568, 827, 476, 1015, 21508, 481, 269, 898, 814, 4550, 11158, 630, 21468, 22292, 10172, 264, 1599, 267, 666, 3625, 519, 1463, 7943, 593, 5388, 267, 666, 3927, 3579, 1524, 267, 1852, 519, 3441, 540, 2178, 1769, 593, 5388, 267, 2061, 5388, 689, 1373, 26151, 269, 1879, 5388, 616, 8697, 676, 7786, 267, 621, 666, 3500, 1524, 519, 2019, 520, 16478, 3432, 540, 5061, 267, 2285, 2407, 1404, 547, 519, 12117, 540, 5061, 267, 543, 2569, 519, 30574, 2179, 540, 5061, 269, 2311, 519, 1482, 942, 267, 621, 814, 2011, 27978, 543, 666, 2061, 3075, 22016, 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 ]
[ 1412, 339, 343, 333, 281, 262, 1341, 1193, 6025, 343, 333, 10947, 318, 1485, 28829, 1341, 1412, 2395, 281, 262, 1341, 1193, 5560, 904, 264, 1341, 1412, 703, 281, 262, 1341, 1193, 263, 15517, 264, 1341, 1412, 1710, 281, 262, 1341, 1193, 263, 659, 551, 8807, 12099, 318, 12737, 525, 264, 1341, 1412, 1101, 1485, 281, 262, 1341, 1193, 263, 11034, 318, 1485, 15058, 318, 25270, 264, 1341, 1412, 2545, 281, 262, 1341, 1193, 263, 25270, 264, 1341, 1412, 993, 339, 281, 262, 1341, 1193, 6025, 343, 333, 10947, 318, 26920, 31156, 1038, 2395, 815, 1582, 269, 704, 1675, 910, 1376, 318, 1485, 15058, 318, 25270, 454, 1038, 1035, 551, 8807, 12099, 318, 12737, 525, 6834, 3666, 2608, 1035, 551, 269, 15517, 318, 3433, 1315, 476, 18458, 2608, 2395, 454, 1038, 1948, 2745, 1412, 659, 551, 281, 262, 1341, 1193, 263, 659, 551, 269, 27665, 16182, 264, 1341, 1412, 2395, 281, 262, 1341, 1193, 5560, 904, 264, 1341, 1412, 703, 281, 262, 1341, 1193, 263, 15517, 264, 1341, 1412, 1710, 281, 262, 1341, 1193, 263, 659, 551, 8807, 12099, 318, 12737, 525, 264, 1341, 1412, 1101, 1485, 281, 262, 1341, 1193, 263, 11034, 318, 1485, 15058, 318, 25270, 264, 1341, 1412, 2545, 281, 262, 1341, 1193, 263, 25270, 264, 1341, 1412, 993, 339, 281, 262, 1341, 1193, 6025, 343, 333, 10947, 318, 26920, 31156, 825, 1219, 19268, 30648, 1675, 4311, 2187, 1038, 1948, 18631, 1974, 8852, 1223, 581, 2895, 1882, 454, 1038, 1582, 6745, 4920, 13905, 815, 29129, 454, 3698, 1449, 318, 9618, 1145, 10031, 825, 512, 338, 815, 3690, 9146, 306, 16291, 263, 1789, 994, 825, 1035, 551, 272, 815, 15894, 28398, 263, 1206, 267, 476, 272, 267, 476, 271, 269, 1789, 267, 476, 1911, 271, 994, 825, 512, 338, 269, 5976, 9526, 263, 659, 551, 272, 267, 476, 272, 267, 476, 4968, 994, 825, 512, 338, 269, 5976, 9526, 263, 659, 551, 272, 267, 476, 276, 267, 476, 4968, 994, 825, 512, 338, 269, 5976, 9526, 263, 659, 551, 272, 267, 476, 276, 267, 476, 9873, 271, 994, 825, 512, 338, 4877, 599, 618, 263, 659, 551, 272, 267, 476, 1015, 267, 476, 7785, 994, 825, 512, 338, 4877, 599, 618, 263, 659, 551, 272, 267, 476, 1015, 267, 476, 7785, 994, 825, 1035, 551, 272, 20481, 318, 25270, 4590, 825, 1035, 551, 273, 815, 15894, 28398, 263, 1206, 267, 476, 273, 267, 476, 271, 269, 1789, 267, 476, 1220, 271, 994, 825, 512, 338, 269, 5976, 9526, 263, 659, 551, 273, 267, 476, 1015, 267, 476, 4968, 994, 825, 1035, 551, 273, 20481, 318, 25270, 4590, 825, 512, 338, 20481, 4671, 4920, 13905, 263, 272, 994, 825, 512, 338, 20481, 4671, 4920, 13905, 263, 273, 994, 825, 512, 338, 269, 8408, 318, 15517, 263, 659, 551, 272, 994, 825, 1035, 551, 272, 20481, 318, 25270, 4590, 825, 1035, 551, 272, 20481, 6958, 12099, 318, 12737, 525, 4590, 825, 512, 338, 269, 8408, 318, 15517, 263, 659, 551, 273, 994, 825, 1035, 551, 273, 20481, 318, 25270, 4590, 825, 1035, 551, 273, 20481, 6958, 12099, 318, 12737, 525, 4590, 825, 1035, 551, 273, 20481, 4671, 4973, 7272, 599, 618, 10797, 825, 608, 272, 815, 15894, 28398, 263, 1206, 267, 476, 274, 267, 476, 271, 269, 3374, 267, 476, 1911, 271, 994, 825, 512, 338, 269, 5976, 9526, 263, 1410, 272, 267, 476, 271, 267, 476, 4335, 994, 825, 512, 338, 269, 8408, 318, 15517, 263, 1410, 272, 994, 825, 608, 272, 20481, 4671, 4973, 7272, 599, 618, 10797, 825, 608, 273, 815, 15894, 28398, 263, 1206, 267, 476, 275, 267, 476, 271, 269, 3374, 267, 476, 1911, 271, 994, 825, 512, 338, 269, 5976, 9526, 263, 1410, 273, 267, 476, 271, 267, 476, 4335, 994, 825, 512, 338, 4877, 599, 618, 263, 1410, 273, 267, 476, 1428, 267, 476, 1220, 994, 825, 512, 338, 269, 5976, 9526, 263, 1410, 273, 267, 476, 1839, 267, 476, 1911, 994, 825, 512, 338, 269, 8408, 318, 15517, 263, 1410, 273, 994, 825, 608, 273, 20481, 4671, 4973, 7272, 599, 618, 30800, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1449, 318, 9618, 1145, 10797, 19638, 19638, 19638, 692, 7531, 0, 5814, 11769, 692, 5228, 2588, 2812, 1104, 8672, 267, 28219, 7531, 3698, 1847, 5332, 2180, 263, 26047, 22561, 267, 9988, 22561, 267, 1604, 22561, 17107, 825, 8173, 825, 10263, 602, 3123, 606, 8665, 547, 1847, 5087, 835, 1770, 563, 825, 2433, 12407, 8665, 281, 634, 8665, 547, 1685, 519, 2623, 563, 825, 2433, 12407, 9988, 281, 589, 1592, 540, 9988, 538, 519, 11191, 563, 825, 2433, 12407, 1604, 281, 634, 1604, 5627, 519, 8665, 563, 825, 2433, 8873, 281, 634, 8242, 8665, 563, 825, 29185, 825, 952, 1604, 269, 7853, 26769, 13935, 318, 4812, 263, 11592, 263, 26047, 269, 7853, 6745, 641, 318, 3847, 269, 6570, 314, 271, 3910, 8665, 269, 7853, 6745, 641, 318, 3847, 269, 6570, 314, 272, 316, 1341, 476, 272, 4297, 1384, 1038, 585, 6221, 538, 8665, 23357, 1203, 800, 1384, 2018, 6221, 269, 7853, 6745, 641, 318, 3847, 269, 6570, 314, 272, 316, 6834, 476, 272, 454, 2018, 6221, 269, 7853, 12500, 18847, 318, 2431, 269, 6570, 314, 272, 316, 6834, 476, 272, 692, 1038, 8665, 269, 7853, 6745, 641, 318, 3847, 269, 6570, 314, 272, 316, 6834, 476, 272, 454, 1038, 8665, 269, 7853, 12500, 18847, 318, 2431, 269, 6570, 314, 272, 316, 6834, 476, 272, 692, 825, 8665, 28333, 6834, 476, 272, 692, 825, 2132, 8665, 7531, 3698, 1847, 21223, 770, 263, 26047, 22561, 267, 9988, 22561, 267, 1604, 22561, 17107, 825, 8173, 825, 10263, 602, 3123, 606, 8665, 547, 1847, 7532, 835, 1770, 563, 825, 2433, 12407, 8665, 281, 634, 8665, 547, 1685, 519, 2623, 563, 825, 2433, 12407, 9988, 281, 589, 1592, 540, 9988, 538, 519, 11191, 563, 825, 2433, 12407, 1604, 281, 634, 1604, 5627, 519, 8665, 563, 825, 2433, 8873, 281, 634, 8242, 8665, 563, 825, 29185, 825, 952, 1604, 269, 7853, 26769, 13935, 318, 4812, 263, 11592, 263, 26047, 269, 7853, 12500, 18847, 318, 2431, 269, 6570, 314, 271, 316, 1341, 476, 272, 267, 8665, 269, 7853, 12500, 18847, 318, 2431, 269, 6570, 314, 272, 316, 4297, 1384, 1038, 585, 6221, 538, 8665, 23357, 1203, 800, 1384, 2018, 6221, 269, 7853, 6745, 641, 318, 3847, 269, 6570, 314, 271, 316, 6834, 476, 272, 454, 2018, 6221, 269, 7853, 12500, 18847, 318, 2431, 269, 6570, 314, 271, 316, 6834, 476, 272, 692, 1038, 8665, 269, 7853, 6745, 641, 318, 3847, 269, 6570, 314, 271, 316, 6834, 476, 272, 454, 1038, 8665, 269, 7853, 12500, 18847, 318, 2431, 269, 6570, 314, 271, 316, 6834, 476, 272, 692, 825, 8665, 28333, 6834, 476, 272, 692, 825, 2132, 8665, 7531, 3698, 1847, 5334, 1926, 263, 26047, 22561, 267, 9988, 22561, 267, 1604, 22561, 17107, 825, 8173, 825, 10263, 602, 3123, 606, 8665, 547, 1847, 5045, 835, 1770, 563, 825, 2433, 12407, 8665, 281, 634, 8665, 547, 1685, 519, 2623, 563, 825, 2433, 12407, 9988, 281, 589, 1592, 540, 9988, 538, 519, 11191, 563, 825, 2433, 12407, 1604, 281, 634, 1604, 5627, 519, 8665, 563, 825, 2433, 8873, 281, 634, 8242, 8665, 563, 825, 29185, 825, 952, 1604, 269, 7853, 26769, 13935, 318, 4812, 263, 11592, 263, 26047, 269, 7853, 12500, 18847, 318, 2431, 269, 6570, 314, 271, 3910, 8665, 269, 7853, 12500, 18847, 318, 2431, 269, 6570, 314, 272, 316, 910, 476, 272, 4297, 1384, 1038, 585, 6221, 538, 8665, 23357, 1203, 800, 1384, 2018, 6221, 269, 7853, 6745, 641, 318, 3847, 269, 6570, 314, 272, 316, 20699, 476, 272, 454, 2018, 6221, 269, 7853, 12500, 18847, 318, 2431, 269, 6570, 314, 272, 316, 20699, 476, 272, 692, 1038, 8665, 269, 7853, 6745, 641, 318, 3847, 269, 6570, 314, 272, 316, 20699, 476, 272, 454, 1038, 8665, 269, 7853, 12500, 18847, 318, 2431, 269, 6570, 314, 272, 316, 20699, 476, 272, 692, 825, 8665, 28333, 6834, 476, 272, 692, 825, 2132, 8665, 7531, 3698, 1847, 318, 8054, 263, 26047, 22561, 267, 9988, 22561, 267, 1604, 22561, 17107, 825, 8173, 825, 10263, 602, 3123, 606, 8665, 547, 1847, 7178, 835, 1770, 563, 825, 2433, 12407, 8665, 281, 634, 8665, 547, 1685, 519, 2623, 563, 825, 2433, 12407, 9988, 281, 589, 1592, 540, 9988, 538, 519, 11191, 563, 825, 2433, 12407, 1604, 281, 634, 1604, 5627, 519, 8665, 563, 825, 2433, 8873, 281, 634, 8242, 8665, 563, 825, 29185, 825, 952, 1604, 269, 7853, 26769, 13935, 318, 4812, 263, 11592, 263, 26047, 269, 7853, 6745, 641, 318, 3847, 269, 6570, 314, 271, 316, 910, 476, 272, 267, 8665, 269, 7853, 6745, 641, 318, 3847, 269, 6570, 314, 272, 316, 4297, 1384, 1038, 585, 6221, 538, 8665, 23357, 1203, 800, 1384, 2018, 6221, 269, 7853, 6745, 641, 318, 3847, 269, 6570, 314, 271, 316, 20699, 476, 272, 454, 2018, 6221, 269, 7853, 12500, 18847, 318, 2431, 269, 6570, 314, 271, 316, 20699, 476, 272, 692, 1038, 8665, 269, 7853, 6745, 641, 318, 3847, 269, 6570, 314, 271, 316, 20699, 476, 272, 454, 1038, 8665, 269, 7853, 12500, 18847, 318, 2431, 269, 6570, 314, 271, 316, 20699, 476, 272, 692, 825, 8665, 28333, 6834, 476, 272, 692, 825, 2132, 8665, 7531, 3698, 4584, 1575, 6958, 797, 263, 26047, 22561, 267, 9988, 22561, 267, 1604, 22561, 17107, 825, 8173, 825, 10263, 602, 3123, 606, 8665, 547, 4584, 1575, 1426, 563, 825, 2433, 12407, 8665, 281, 634, 8665, 547, 1685, 519, 2623, 563, 825, 2433, 12407, 9988, 281, 589, 1592, 540, 9988, 538, 519, 11191, 563, 825, 2433, 12407, 1604, 281, 634, 1604, 5627, 519, 8665, 563, 825, 2433, 8873, 281, 634, 8242, 8665, 563, 825, 29185, 825, 3536, 815, 6882, 10857, 10033, 1535, 281, 568, 27349, 3287, 267, 11769, 12171, 797, 1070, 9988, 2020, 825, 952, 711, 8665, 269, 3835, 532, 6958, 797, 1384, 1038, 585, 1426, 538, 3536, 1384, 2018, 952, 8665, 269, 7853, 26769, 13935, 318, 5550, 4120, 6600, 797, 269, 7853, 264, 543, 1426, 269, 5793, 716, 762, 1384, 3546, 8665, 23357, 1203, 800, 6910, 6600, 797, 994, 3546, 1426, 269, 5793, 716, 762, 815, 8771, 454, 3546, 8665, 269, 3835, 532, 6958, 797, 815, 6936, 454, 3546, 2736, 692, 825, 8665, 28333, 6834, 476, 272, 692, 825, 2132, 8665, 7531, 3698, 6749, 6958, 797, 263, 26047, 22561, 267, 9988, 22561, 267, 1604, 22561, 17107, 825, 8173, 825, 10263, 602, 3123, 606, 8665, 547, 6749, 1426, 563, 825, 2433, 12407, 8665, 281, 634, 8665, 547, 1685, 519, 2623, 563, 825, 2433, 12407, 9988, 281, 589, 1592, 540, 9988, 538, 519, 11191, 563, 825, 2433, 12407, 1604, 281, 634, 1604, 5627, 519, 8665, 563, 825, 2433, 8873, 281, 634, 8242, 8665, 563, 825, 29185, 825, 9566, 815, 6882, 10857, 10033, 1535, 281, 568, 27349, 3287, 267, 11769, 12991, 652, 1070, 9988, 25011, 271, 6540, 825, 952, 8665, 269, 3835, 532, 6958, 797, 1384, 1038, 585, 6221, 538, 8665, 23357, 1203, 800, 1384, 2018, 8665, 23357, 1203, 800, 31927, 263, 14403, 2020, 2018, 952, 9566, 269, 7853, 26769, 13935, 318, 5550, 4120, 263, 26047, 269, 7853, 17107, 3546, 9566, 8807, 797, 18045, 6834, 476, 272, 692, 2018, 3116, 1384, 3546, 6221, 269, 5793, 716, 762, 815, 6936, 692, 1038, 8665, 269, 3835, 532, 6958, 797, 815, 8771, 692, 825, 8665, 28333, 6834, 476, 272, 692, 825, 2132, 8665, 7531, 3698, 4351, 16062, 1779, 263, 26047, 22561, 267, 9988, 22561, 267, 1604, 22561, 17107, 825, 8173, 825, 10263, 602, 3123, 606, 8665, 547, 3802, 538, 513, 4351, 4287, 585, 835, 942, 1900, 563, 825, 2433, 12407, 8665, 281, 634, 8665, 547, 1685, 519, 2623, 563, 825, 2433, 12407, 9988, 281, 589, 1592, 540, 9988, 538, 519, 11191, 563, 825, 2433, 12407, 1604, 281, 634, 1604, 5627, 519, 8665, 563, 825, 2433, 8873, 281, 634, 8242, 8665, 563, 825, 29185, 825, 4351, 5091, 3925, 815, 28219, 27110, 263, 271, 267, 476, 274, 2020, 825, 952, 4351, 5091, 3925, 2652, 476, 271, 1384, 1038, 2132, 1847, 5332, 2180, 263, 26047, 267, 9988, 267, 1604, 2020, 825, 8640, 4351, 5091, 3925, 2652, 476, 272, 1384, 1038, 2132, 1847, 21223, 770, 263, 26047, 267, 9988, 267, 1604, 2020, 825, 8640, 4351, 5091, 3925, 2652, 476, 273, 1384, 1038, 2132, 1847, 5334, 1926, 263, 26047, 267, 9988, 267, 1604, 2020, 825, 8640, 4351, 5091, 3925, 2652, 476, 274, 1384, 1038, 2132, 1847, 318, 8054, 263, 26047, 267, 9988, 267, 1604, 2020, 825, 2132, 8665, 7531, 3698, 2132, 20189, 727, 263 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 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, 634, 15547, 729, 4904, 609, 519, 3280, 540, 14229, 5474, 2695, 324, 1136, 1996, 519, 25509, 3574, 6989, 267, 5309, 9822, 730, 676, 519, 24754, 555, 18804, 540, 14912, 338, 1996, 519, 1394, 4580, 269, 19608, 3213, 778, 7665, 6202, 11542, 693, 519, 6316, 540, 519, 5480, 267, 7916, 25649, 267, 8384, 32348, 607, 519, 2319, 10443, 998, 741, 533, 2167, 896, 25599, 2961, 5894, 548, 781, 4585, 995, 3750, 780, 10111, 5894, 548, 6926, 342, 1010, 27646, 25921, 267, 10912, 585, 513, 26699, 538, 1404, 269, 834, 2704, 2431, 267, 3025, 5531, 5180, 2437, 646, 1767, 267, 1010, 5639, 8876, 936, 519, 7188, 269, 634, 5716, 7249, 27935, 1472, 1864, 267, 8108, 513, 9395, 5858, 269, 834, 2171, 4312, 3893, 513, 3014, 14182, 3781, 1996, 20279, 269, 1358, 2811, 1434, 267, 855, 649, 2811, 1732, 3010, 288, 9597, 332, 584, 540, 6876, 678, 2089, 1194, 998, 519, 1895, 269, 834, 3719, 3213, 778, 2437, 12038, 909, 835, 6345, 267, 26778, 267, 834, 5445, 4312, 1044, 10888, 782, 741, 3756, 25015, 269, 1215, 616, 649, 2469, 547, 10726, 873, 12482, 10111, 5894, 548, 6743, 1142, 6345, 538, 519, 3750, 1354, 14775, 269, 834, 297, 1783, 267, 596, 3314, 1946, 649, 2141, 3094, 267, 1318, 8119, 634, 1762, 812, 21330, 7334, 569, 269, 834, 2005, 781, 1317, 649, 6529, 1927, 267, 3972, 1142, 824, 267, 543, 1034, 11932, 267, 2760, 2285, 909, 269, 3143, 2339, 875, 9157, 1919, 1205, 856, 972, 267, 649, 4339, 11489, 519, 1439, 3010, 3891, 17328, 4310, 267, 15603, 1010, 1913, 16173, 538, 269, 3973, 267, 16715, 1010, 5639, 267, 3773, 267, 834, 4517, 3314, 267, 1169, 18545, 814, 12755, 269, 3776, 2816, 568, 547, 1265, 1346, 12755, 543, 17908, 873, 269, 2334, 781, 1141, 938, 4222, 6013, 910, 538, 1620, 6000, 543, 938, 17837, 3010, 1607, 7012, 1405, 1175, 827, 14912, 15042, 282, 713, 729, 1272, 4245, 1373, 791, 14975, 269, 3962, 6345, 6785, 602, 2961, 5894, 548, 25374, 7184, 827, 873, 267, 1312, 593, 543, 1055, 519, 5480, 269, 1656, 789, 15197, 1864, 585, 621, 780, 24137, 4464, 547, 519, 2462, 3014, 269, 2060, 7643, 2451, 593, 519, 9219, 267, 6060, 13615, 267, 543, 8082, 16304, 5230, 538, 519, 2011, 267, 1945, 9058, 5949, 269, 589, 887, 758, 773, 6345, 3957, 25455, 267, 945, 1185, 18923, 2938, 1022, 4730, 942, 2429, 519, 4005, 267, 1336, 5128, 2647, 1930, 896, 519, 11127, 269, 9453, 11688, 2787, 267, 667, 25184, 21651, 5293, 519, 3440, 547, 1864, 269, 5384, 8604, 547, 3500, 1524, 607, 25455, 9575, 519, 3440, 267, 3576, 2832, 267, 543, 8929, 1862, 4210, 880, 256, 634, 18388, 518, 32131, 1175, 607, 519, 3440, 12628, 2973, 569, 998, 519, 2121, 780, 291, 23775, 8575, 591, 6506, 4465, 269, 27933, 560, 519, 795, 889, 7976, 267, 2961, 5894, 548, 15504, 25455, 11735, 269, 18391, 1864, 2786, 538, 519, 4064, 267, 646, 1767, 267, 834, 2791, 941, 4712, 950, 707, 4090, 3357, 267, 14201, 1405, 596, 286, 1411, 4718, 519, 4316, 543, 25868, 621, 269, 2334, 781, 1018, 12523, 3010, 6546, 3781, 267, 9624, 11802, 16873, 267, 513, 4514, 20185, 546, 1177, 2740, 2390, 3025, 1459, 269, 3213, 2286, 3884, 1405, 8806, 827, 2994, 543, 2553, 282, 621, 781, 827, 5935, 3197, 543, 2679, 6043, 269, 7201, 25599, 2961, 5894, 548, 781, 5583, 267, 891, 2367, 4121, 2484, 811, 982, 14912, 1983, 1107, 789, 4362, 10100, 267, 9639, 267, 16177, 267, 543, 23274, 269, 0, 2237, 513, 8903, 1650, 1644, 547, 519, 1739, 1257, 6256, 912, 2108, 8005, 568, 519, 2212, 16455, 540, 519, 28543, 8575, 591, 6506, 543, 1018, 568, 741, 18006, 6138, 888, 2026, 606, 3642, 1893, 2203, 267, 594, 798, 711, 723, 1569, 547, 1483, 6066, 1344, 610, 1699, 2621, 269, 1717, 267, 519, 2063, 942, 594, 13761, 519, 2212, 16455, 540, 519, 28543, 8575, 591, 6506, 568, 25599, 2961, 5894, 548, 269, 3571, 18006, 6138, 3322, 513, 2178, 8561, 593, 8878, 267, 5100, 3375, 6194, 267, 543, 9001, 1010, 5716, 262, 9342, 547, 11694, 741, 1761, 269, 1261, 568, 849, 1634, 585, 1010, 2702, 547, 1118, 538, 3766, 877, 11941, 543, 1010, 3007, 547, 1469, 14325, 763, 1650, 3085, 1406, 991, 547, 2446, 3388, 538, 519, 6256, 267, 946, 621, 1175, 585, 6667, 543, 581, 3860, 2336, 763, 1650, 1058, 6451, 519, 1739, 2609, 912, 268, 15511, 281, 519, 1650, 1590, 4183, 693, 2547, 835, 6209, 5188, 602, 8761, 1915, 3178, 267, 8441, 519, 4729, 267, 610, 28807, 513, 2629, 4062, 540, 519, 9814, 3097, 268, 21624, 4798, 281, 2263, 4798, 22298, 609, 513, 9921, 5304, 267, 971, 607, 5837, 13509, 267, 16650, 14511, 267, 2123, 7004, 267, 610, 519, 4539, 540, 2250, 3527, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 834, 763, 3141, 8288, 1970, 538, 519, 6607, 257, 610, 834, 1103, 519, 27452, 1396, 2580, 581, 3860, 269, 0, 3848, 476, 278, 281, 3525, 983, 14716, 9828, 538, 24006, 1722, 1763, 573, 1878, 281, 589, 8865, 5530, 540, 966, 8759, 595, 719, 675, 692, 1103, 938, 3408, 540, 1585, 11265, 2409, 543, 2326, 267, 713, 3184, 12538, 883, 519, 5499, 1158, 540, 22606, 4070, 2553, 267, 1210, 966, 8759, 595, 719, 675, 607, 513, 6305, 1383, 269, 1284, 786, 4983, 875, 891, 4359, 2679, 2853, 3565, 547, 519, 29413, 9029, 543, 10342, 540, 971, 1164, 15134, 3601, 780, 278, 269, 272, 4985, 547, 3525, 983, 14716, 9828, 692, 4263, 922, 4295, 267, 22606, 4070, 3322, 519, 10198, 540, 5094, 6810, 610, 13838, 538, 513, 6417, 12051, 1604, 269, 1452, 4776, 5419, 730, 3334, 616, 1287, 16487, 547, 519, 3803, 3135, 585, 4028, 10380, 269, 6736, 1455, 20887, 827, 4776, 629, 8027, 1373, 7833, 543, 15877, 1915, 267, 2221, 781, 22606, 4070, 2553, 2709, 7415, 8112, 543, 29356, 3255, 269, 1635, 10128, 5969, 12967, 2029, 609, 2757, 23477, 267, 9858, 666, 3035, 11495, 12716, 2164, 1247, 4180, 6940, 267, 4398, 267, 543, 1942, 13716, 4369, 780, 278, 269, 273, 27588, 585, 21253, 2225, 543, 11426, 1436, 692, 763, 5137, 540, 966, 8759, 595, 719, 675, 9727, 875, 22606, 4070, 666, 8597, 547, 2189, 4170, 1510, 18731, 2511, 610, 2298, 269, 11629, 338, 2324, 593, 713, 1788, 6964, 8490, 6176, 21290, 630, 289, 8379, 264, 2645, 547, 1374, 8465, 9074, 29282, 602, 13918, 3309, 9703, 19383, 269, 901, 1935, 4847, 873, 547, 1711, 14850, 335, 5803, 2713, 5624, 3358, 547, 1367, 7375, 1247, 4509, 11007, 2429, 519, 1646, 780, 11101, 267, 22606, 4559, 5512, 2653, 25465, 540, 1533, 6361, 7308, 19603, 5100, 1753, 1949, 543, 10357, 7888, 4066, 269, 2311, 966, 8759, 595, 719, 675, 267, 1648, 18026, 8022, 267, 9023, 267, 543, 8654, 3435, 941, 7471, 1282, 519, 5663, 1184, 267, 7393, 1312, 16823, 4313, 543, 2825, 5539, 780, 278, 269, 274, 12655, 13756, 538, 3525, 983, 14716, 692, 7093, 325, 5419, 566, 3648, 6971, 3653, 5108, 3379, 547, 6671, 593, 21935, 4070, 2409, 269, 4340, 547, 513, 1353, 5342, 676, 519, 2817, 4659, 540, 8490, 7070, 267, 1055, 21935, 21753, 11729, 909, 547, 476, 3445, 260, 1447, 1570, 3653, 269, 769, 1840, 267, 6283, 5434, 2404, 609, 12419, 8737, 13838, 547, 519, 4070, 3135, 616, 15558, 676, 8519, 2951, 7569, 585, 1016, 4186, 847, 832, 543, 3937, 269, 9182, 267, 22606, 4070, 4249, 513, 2629, 1909, 538, 5009, 4264, 4683, 2208, 780, 13010, 267, 966, 8759, 595, 719, 675, 28837, 3039, 2679, 3741, 998, 922, 946, 540, 13381, 2326, 267, 1216, 5726, 2934, 267, 543, 3859, 1379, 19698, 269, 1635, 8508, 891, 8733, 2418, 267, 9367, 666, 3986, 741, 6216, 3239, 543, 4482, 1167, 518, 940, 7218, 945, 3343, 29413, 2943, 3743, 6197, 5079, 780, 278, 269, 275, 21252, 717, 1622, 3414, 2552, 9776, 19007, 22948, 692, 3080, 1713, 5413, 540, 22606, 4070, 6013, 538, 922, 2702, 547, 20928, 2504, 16131, 269, 31543, 2175, 1450, 4600, 547, 2347, 4247, 21276, 569, 267, 4227, 2949, 1628, 942, 676, 5111, 476, 2004, 10065, 3958, 267, 22608, 2298, 1852, 3800, 8045, 1369, 519, 5663, 9744, 2327, 5812, 3977, 267, 10893, 12889, 543, 556, 1740, 3790, 780, 2690, 3236, 267, 693, 966, 8759, 595, 719, 675, 267, 8856, 4702, 13087, 519, 16190, 10198, 540, 6946, 16538, 1795, 3547, 543, 1950, 7293, 4296, 269, 901, 11880, 1243, 4070, 5311, 8329, 547, 4389, 17522, 585, 15231, 7264, 543, 18965, 8907, 5108, 585, 519, 17354, 780, 278, 269, 276, 28304, 12694, 538, 3525, 983, 14716, 692, 8601, 922, 3875, 2640, 267, 22606, 4070, 8188, 1978, 2591, 602, 1590, 581, 9619, 547, 11126, 2773, 543, 7817, 9547, 269, 2368, 1883, 2152, 1331, 1384, 320, 264, 18815, 17825, 1107, 744, 951, 1242, 13838, 2154, 7463, 6472, 543, 14998, 267, 26089, 6297, 4058, 543, 11558, 1063, 9755, 267, 25255, 267, 543, 2199, 8128, 563, 321, 264, 13505, 7041, 1107, 25043, 267, 10626, 13622, 5725, 267, 543, 824, 5989, 960, 1058, 581, 6192, 1354, 9074, 6765, 547, 7520, 3608, 10380, 563, 322, 264, 2098, 11238, 6042, 1107, 10871, 3921, 514, 1734, 949, 6615, 519, 4463, 267, 2450, 267, 610, 5920, 540, 4776, 629, 3889, 267, 8506, 14223, 3646, 689, 2872, 12205, 543, 3318, 3906, 563, 323, 264, 32185, 7496, 1107, 16700, 935, 8526, 827, 4776, 629, 8027, 6414, 1851, 930, 8639, 267, 26089, 2069, 11044, 10223, 519, 17545, 267, 15006, 267, 543, 1871, 6035, 676, 22606, 4070, 2553, 780, 3528, 5466, 891, 4145, 30082, 267, 16413, 543, 9367, 666, 15407, 22606, 4070, 16097, 547, 5838, 10427, 10821, 3785, 899, 966, 8759, 595, 719, 675, 6707, 780, 6962, 1384, 1607, 3184, 814, 8268, 519, 15491, 5383, 540, 14139, 22606, 4070, 2553, 538, 17195, 10821, 7835, 269, 3245, 5807, 5876, 543, 6940, 547, 5355, 4398, 543, 1942, 2359, 267, 4776, 5419, 566, 3091, 8903, 16548, 585, 16413, 5275, 5499, 4485, 547, 4207, 1374, 2591, 269, 16871, 713, 17565, 6521, 2636, 721, 547, 28196, 710, 519, 6302, 540, 1018, 568, 2009, 538, 519, 7706, 540, 1164, 15134, 6189, 1247, 7700, 9797, 547, 2486, 543, 519, 1604, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 301, 652, 1194, 538, 519, 2295, 540, 606, 12600, 11700, 1511, 267, 966, 8759, 595, 719, 675, 6763, 607, 513, 15266, 547, 1566, 18834, 543, 30483, 267, 28196, 1456, 519, 1523, 540, 17195, 4036, 1878, 269, 901, 11108, 4015, 540, 6752, 762, 5636, 553, 568, 811, 982, 1175, 513, 1747, 547, 3251, 282, 621, 568, 606, 15138, 1995, 602, 6173, 919, 519, 1148, 540, 2713, 547, 13778, 15627, 269, 1306, 596, 1900, 883, 519, 23939, 2966, 954, 12542, 267, 596, 616, 30870, 676, 513, 15774, 12760, 540, 4207, 15312, 543, 15851, 25894, 269, 5272, 1469, 267, 689, 519, 5402, 26940, 29939, 902, 547, 519, 1285, 656, 3766, 31938, 11247, 740, 528, 940, 519, 6821, 267, 9356, 513, 7029, 547, 26080, 17195, 269, 634, 6189, 540, 966, 8759, 595, 719, 675, 568, 513, 20100, 538, 3294, 267, 16900, 16471, 2413, 1374, 609, 5929, 2609, 267, 2870, 513, 3308, 1623, 21620, 602, 7380, 919, 519, 12823, 269, 634, 608, 614, 12542, 30107, 30832, 1782, 10651, 267, 4357, 20115, 267, 543, 31858, 25271, 5784, 602, 1683, 606, 522, 12118, 540, 22471, 1006, 269, 3962, 15335, 568, 513, 4357, 10093, 267, 3850, 14538, 547, 9101, 519, 554, 755, 548, 543, 11861, 548, 540, 3232, 3076, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 9556, 983, 14716, 9828, 257, 607, 851, 540, 834, 24086, 3951, 17614, 13543, 1315, 10613, 1299, 10049, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 8080, 547, 938, 7194, 7045, 256, 4653, 649, 3513, 1451, 827, 1875, 268, 12407, 13011, 4255, 1210, 1483, 3734, 3871, 602, 786 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3234, 619, 2437, 4860, 269, 538, 20703, 269, 4437, 27370, 565, 269, 476, 3445, 630, 274, 1700, 275, 1070, 476, 14991, 1700, 15647, 630, 1220, 273, 1916, 4343, 269, 570, 269, 6153, 5459, 267, 744, 269, 966, 7568, 822, 24989, 267, 543, 962, 269, 15651, 267, 834, 18893, 673, 16544, 543, 10241, 540, 667, 754, 3234, 518, 5336, 13926, 15089, 24899, 1842, 2572, 2437, 2271, 269, 4860, 269, 24695, 269, 6314, 269, 476, 2537, 630, 272, 264, 476, 11820, 1700, 5611, 630, 1220, 275, 1916, 4375, 269, 595, 1547, 291, 18860, 525, 267, 594, 12171, 269, 772, 3832, 326, 25975, 267, 543, 589, 14371, 269, 5576, 28739, 548, 514, 267, 834, 291, 754, 3234, 619, 538, 22319, 24822, 2437, 5917, 269, 10684, 269, 5548, 269, 4860, 269, 476, 6872, 630, 1428, 1070, 476, 24241, 278, 1700, 13136, 273, 630, 1220, 276, 1916, 2412, 269, 681, 269, 10507, 325, 663, 543, 667, 6993, 269, 8751, 26515, 267, 834, 28139, 263, 600, 18480, 8533, 264, 630, 303, 4456, 4456, 264, 667, 754, 3234, 619, 281, 3245, 29119, 574, 545, 787, 547, 10684, 24822, 543, 4437, 32441, 10241, 2437, 10684, 5494, 269, 4653, 476, 277, 630, 279, 1070, 476, 275, 2767, 1700, 275, 3607, 630, 1220, 272, 1916, 6078, 269, 966, 12282, 269, 966, 754, 527, 1729, 267, 595, 6993, 269, 3204, 3626, 267, 543, 631, 15030, 269, 6601, 577, 321, 1408, 267, 834, 303, 4456, 4456, 667, 754, 3234, 518, 9122, 5839, 668, 26163, 607, 20865, 25037, 3397, 757, 2437, 20703, 269, 14997, 269, 476, 273, 630, 275, 1070, 476, 23714, 1700, 25313, 630, 1220, 276, 1916, 5655, 269, 715, 269, 11809, 340, 1696, 620, 1421, 834, 303, 4456, 4456, 667, 754, 3234, 619, 15369, 5027, 645, 3930, 839, 832, 585, 5082, 10635, 8707, 24544, 540, 5027, 28628, 1436, 2437, 5082, 549, 534, 4519, 476, 1240, 630, 2641, 1070, 476, 13975, 278, 1700, 21076, 275, 630, 1220, 277, 1916, 6246, 269, 715, 269, 25816, 928, 1696, 620, 1421, 834, 291, 754, 3234, 619, 267, 513, 1715, 4147, 540, 15443, 28371, 5440, 673, 19287, 15969, 609, 11314, 1996, 4173, 6647, 11822, 343, 24295, 25124, 269, 4165, 574, 17853, 3397, 757, 543, 6314, 8839, 2437, 4165, 574, 15412, 269, 3397, 757, 6314, 1278, 269, 476, 275, 630, 280, 264, 476, 26316, 272, 1700, 26316, 275, 630, 1220, 271, 1916, 4510, 269, 670, 269, 11809, 784, 1696, 620, 1421, 834, 22137, 593, 12443, 600, 18480, 8533, 667, 754, 3234, 619, 607, 31478, 22319, 24822, 21070, 2437, 808, 269, 4437, 25959, 269, 10331, 269, 476, 2420, 630, 277, 1070, 476, 276, 2767, 1700, 276, 4510, 630, 1220, 279, 1916, 3393, 269, 589, 269, 717, 14283, 267, 631, 10611, 269, 12891, 2023, 267, 543, 661, 269, 10609, 9655, 23437, 267, 834, 22134, 6918, 2643, 6363, 23341, 1242, 667, 754, 26578, 5839, 668, 26163, 538, 5440, 673, 15328, 8714, 543, 9608, 5516, 1290, 21752, 267, 2475, 30171, 476, 277, 267, 6812, 273, 267, 277, 5952, 267, 4873, 476, 2537, 267, 476, 1220, 275, 563, 5379, 269, 674, 269, 12875, 333, 559, 327, 659, 543, 590, 269, 623, 26696, 267, 834, 290, 657, 8714, 610, 32536, 1670, 5440, 673, 1290, 21752, 1290, 19828, 667, 754, 26578, 12443, 22246, 2437, 2475, 30171, 476, 277, 267, 27868, 267, 4649, 273, 267, 20029, 269, 476, 1556, 267, 476, 1220, 272, 563, 5325, 269, 645, 269, 16423, 267, 590, 269, 23509, 267, 834, 290, 657, 8714, 1290, 21752, 11109, 23715, 520, 32673, 543, 14640, 5025, 322, 928, 11314, 2437, 2475, 30171, 476, 276, 267, 4510, 280, 267, 31982, 267, 20029, 269, 476, 1321, 267, 476, 1960, 276, 563, 4366, 269, 590, 269, 918, 1663, 6359, 339, 332, 753, 543, 808, 11065, 269, 25376, 342, 14259, 267, 834, 291, 754, 3234, 518, 5025, 2381, 984, 583, 611, 1329, 324, 15369, 11158, 4149, 920, 839, 267, 3864, 14664, 476, 272, 267, 4281, 275, 267, 3393, 276, 267, 2904, 476, 1626, 267, 476, 1220, 278, 563, 5392, 269, 654, 2529, 269, 15840, 776, 543, 631, 269, 623, 269, 670, 25830, 269, 834, 290, 19143, 532, 1290, 21752, 609, 667, 754, 3234, 619, 607, 631, 843, 1145, 3397, 757, 2437, 2475, 30171, 476, 276, 267, 4792, 279, 267, 6872, 275, 267, 4119, 269, 476, 866, 267, 476, 1960, 278, 563, 2004, 269, 590, 269, 11206, 1512, 267, 594, 269, 24305, 520, 4211, 528, 14179, 267, 834, 5719, 31121, 656, 23531, 543, 2422, 1703, 1993, 2437, 2475, 30171, 476, 277, 267, 9826, 267, 31079, 267, 5463, 269, 476, 1691, 267, 476, 1960, 280, 563, 7906, 269, 667, 269, 2353, 731, 543, 590, 269, 11206, 1512, 267, 834, 20236, 6874, 8911, 15328, 8714, 1290, 21752, 2437, 2475, 30171, 476, 277, 267, 274, 4200, 267, 271, 4366, 267, 4873, 476, 275, 267, 476, 1220, 273, 563, 7367, 269, 570, 269, 674, 269, 966, 663, 600, 1889, 543, 700, 269, 7935, 20198, 267, 834, 28139, 263, 600, 18480, 8533, 264, 667, 754, 3234, 619, 607, 744, 20953, 6193, 30863, 585, 744, 4788, 24822, 540, 15815, 665, 17369, 710, 21193, 3433, 543, 570, 22241, 29524, 2437, 808, 269, 6513, 269, 4039, 269, 476, 9083, 630, 272, 1070, 476, 2537, 1700, 4343, 630, 1220, 276, 1916, 7871, 269, 590, 269, 32599, 684, 752, 1696, 269, 620, 1421, 834, 28139, 1998, 550, 667, 754, 3234, 518, 3794, 1075, 657, 8533, 1230, 24503, 919, 16473, 25753, 570, 22568, 19725, 2437, 7186, 4437, 27370, 565, 269, 476, 2420, 630, 279, 1070, 476, 280, 6507, 1700, 7176, 275, 630, 1220, 275, 1916, 7918, 269, 681, 269, 808, 269, 3057, 8457, 1696, 620, 1421, 834, 291, 754, 3234, 518, 24822, 540, 606, 14640, 13305, 9680, 293, 744, 5554, 31265, 582, 728, 883, 519, 16685, 281, 589, 7043, 31645, 5530, 883, 769, 22128, 540, 21558, 268, 5715, 340, 1027, 31368, 309, 267, 17392, 267, 772, 696, 820, 267, 543, 24768, 640, 2437, 22319, 14562, 269, 476, 1321, 630, 272, 1070, 476, 15150, 275, 1700, 14028, 271, 630, 1220, 276, 1916, 4649, 269, 962, 269, 4258, 978, 1696, 620, 1421, 834, 9558, 323, 1069, 531, 24822, 540, 6348, 3122, 18042, 14640, 24493, 11987, 24391, 2405, 7007, 676, 12443, 600, 18480, 8533, 630, 303, 4456, 4456, 264, 667, 754, 3234, 619, 2437, 808, 269, 14997, 269, 2233, 269, 476, 9834, 630, 274, 1070, 476, 276, 4817, 1700, 2568, 273, 630, 1220, 278, 1916, 6321, 269, 589, 269, 590, 269, 932, 879, 7315, 1696, 620, 1421, 834, 291, 754, 3234, 518, 5336, 23672, 3690, 323, 1069, 531, 24822, 281, 24046, 12713, 822, 22355, 540, 1473, 558, 996, 659, 514, 2437, 808, 269, 6513, 269, 4039, 269, 476, 3445, 630, 274, 1070, 476, 28178, 1700, 29340, 630, 1220, 274, 1916, 6872, 269, 834, 30252, 874, 12609, 18614, 15474, 966, 643, 698, 601, 11916, 5530, 11778, 2437, 10060, 874, 12609, 15579, 902, 17290, 630, 27839, 20860, 267, 5245, 1070, 2139, 693, 8940, 14714, 541, 874, 12609, 2593, 267, 15600, 4239, 269, 476, 1724, 267, 476, 1220, 279, 563, 6812, 269, 834, 13510, 573, 25534, 5303, 11137, 2437, 2997, 573, 25534, 634, 31706, 630, 25486, 1488, 4011, 267, 24696, 1070, 2139, 693, 8940, 269, 14865, 25534, 2593, 267, 15600, 4239, 269, 476, 1724, 267, 476, 1220, 279, 563, 6795, 269, 15089, 12771, 10886, 1436, 12524, 267, 2817, 2052, 32662, 4659, 267, 834, 291, 754, 3234, 518, 15369, 18909, 25037, 3397, 757, 2437, 630, 293, 1042, 15104, 267, 11022, 267, 5463, 269, 476, 1220, 277, 1070, 2139, 693, 5291, 2517, 333, 743, 269, 4754, 1356, 10993, 270, 6344, 32076, 15005, 267, 15600, 4239, 269, 476, 1724, 267, 476, 1220, 279, 563, 2568, 269, 834, 30252, 10767, 560, 623, 4456, 4456, 667, 754, 3234, 619, 2437, 667, 754, 26578, 15089, 27370, 3098, 5549, 269, 630, 300, 870, 20167, 9586, 267, 24696, 1070, 2139, 693, 8940, 6155, 22974, 1774, 577, 2593, 267, 15600, 693, 4239, 269, 476, 1724, 267, 476, 1220, 279, 563, 8618, 269, 30594, 17315, 823, 3690, 325, 1254, 1234, 26047, 14173, 267, 661, 13270, 645, 3930, 31190, 630, 294, 756, 321, 560, 1144, 267, 27359, 1070, 2139, 693, 8940, 269, 655, 27219, 3930, 31190, 2593, 270, 6255, 6447, 21610, 309, 294, 14672, 8457, 9857, 823, 21867, 267, 15600, 4239, 269, 476, 1724, 267, 476, 1220, 279, 269, 0, 2171, 1353, 519, 1979, 5328, 4205, 1063, 519, 28341, 641, 31730, 12792, 24430, 549, 320, 544, 924, 543, 922, 9932, 13520, 3984, 269, 24430, 549, 320, 568, 9833, 676, 1082, 3744, 543, 13520, 26283, 835, 540, 519, 1034, 1271, 3123, 540, 519, 9932, 13520, 1072, 6433, 269, 1635, 4974, 519, 4761, 3210, 543, 3114, 15202, 540, 7783, 2156, 617, 649, 4126, 547, 1020, 4485, 543, 2645, 585, 4509, 9932, 13520, 1072, 538, 513, 4264, 267, 13476, 7874, 1259, 269, 17497, 267, 649, 616, 2519, 4481, 593, 6786, 547, 16578, 31978, 545, 7180, 547, 948, 16496, 9960, 540, 811, 31978, 545, 13520, 13632, 543, 1761, 25465, 883, 7379, 300, 2853, 269, 1284, 849, 1353, 519, 2802, 1108, 543, 12733, 7400, 3919, 540, 31978, 545, 7180, 269, 16237, 28517, 519, 2067, 23640, 540, 9932, 10987, 267, 971, 607, 31978, 545, 7180, 267, 814, 1082, 2640, 543, 666, 581, 4264, 267, 607, 30833, 676, 519, 30398, 540, 24430, 549, 320, 609, 922, 2067, 3984, 519, 8109, 26006, 27392, 267, 7442, 529, 524, 518, 3570, 563, 289, 1551, 338, 918, 10611, 1421, 1323, 328, 631, 20166, 1421, 661, 951, 2006, 918, 14389, 1421, 18007, 749, 808, 11053, 1421, 654, 6782, 518, 918, 8160, 1421, 681, 826, 653, 749, 744, 269, 630, 1708, 272, 264, 5384, 268, 3147, 5596, 4123, 11325, 543, 4305, 15652, 532, 540, 31978, 545, 2623, 1851, 9932, 13520, 630, 25721, 529, 20649, 32070, 264, 4600, 269, 19884, 17905, 543, 5081, 984, 5735, 267, 476, 4037, 281, 1321, 563, 310, 6782, 518, 918, 8160, 1421, 7085, 541, 808, 1421, 5576, 531, 595, 1421, 681, 826, 653, 749, 744, 269, 630, 1708, 271, 264, 12338, 7781, 32176, 668, 2158, 12954, 31978, 545, 2623, 538, 519, 9932, 13520, 630, 25721, 529, 20649, 32070, 1040, 11660, 18614, 267, 476, 1015, 281, 476, 278, 1724, 273, 563, 310, 6782, 518, 918, 8160, 1421, 1975, 643, 752, 631, 1421, 670, 1030, 28856, 589, 1421, 1234, 4461, 570, 1421, 681, 826, 653, 749, 744, 269, 630, 1001, 280, 264, 24430, 549, 320, 21746, 543, 1546, 11526, 30733, 24295, 29360, 31978, 545, 2623, 538, 9932, 10987, 998, 6006, 10391, 2242, 538, 2156, 617, 2759, 7781, 30691, 269, 11660, 18614, 267, 476, 280, 281, 476, 279, 4037, 274, 563, 310, 6782, 518, 918, 8160, 1421, 1975, 643, 752, 631, 1421, 681, 826, 653, 749, 744, 269, 630, 1001, 279, 264, 7935, 617, 5540, 31978, 545, 2623, 538, 519, 9932, 13520, 630, 295, 2096, 523, 30601, 281, 589, 3671, 2801, 1040, 4750, 540, 9483, 9980, 558, 1108, 267, 476, 9340, 263, 277, 2567, 476, 21857, 271, 268, 26562, 271, 563, 298, 13831, 681, 6185, 1421, 12844, 322, 2077, 1014, 328, 670, 12171, 1421, 681, 826, 653, 749, 744, 269, 630, 1001, 275, 264, 16332, 10942, 543, 10194, 13973, 6384, 1282, 26220, 24430, 549, 320, 3186, 1192, 528, 630, 4517, 3205, 264, 544, 924, 3968, 540, 3384, 9932, 13520, 630, 25721, 529, 20649, 32070, 700, 264, 7782, 2801, 269, 4750, 540, 21885, 10334, 267, 476, 24241, 281, 476, 14378, 271, 268, 14378, 279, 563, 305, 826, 653, 749, 744, 1421, 15917, 525, 589, 8160, 1421, 2782, 761, 715, 1421, 8055, 667, 10611, 269, 630, 1001, 272, 264, 15510, 2497, 540, 7442, 529, 524, 518, 3570, 538, 17289, 9356, 6915, 613, 2762, 543, 1699, 5444, 2095, 2864, 982, 24430, 549, 320, 544, 924, 7681, 269, 24538, 525, 17502, 807, 5060, 267, 476, 6812, 281, 476, 275, 3393, 268, 3393, 273, 269, 0, 288, 5339, 6268, 1557, 568, 513, 2027, 1603, 7084, 799, 1022, 2875, 814, 547, 2347, 538, 1362, 267, 1153, 267, 2852, 1317, 4974, 267, 1620, 543, 7421, 519, 5931, 616, 519, 538, 531, 1329, 762, 18125, 540, 519, 2866, 1184, 269, 4643, 281, 4058, 538, 1142, 3635, 568, 1360, 1271, 269, 5213, 1406, 1175, 1205, 909, 689, 3207, 543, 1376, 1603, 269, 1411, 1590, 917, 1018, 596, 1522, 581, 1603, 827, 269, 634, 1360, 1655, 3594, 616, 7363, 2854, 856, 540, 513, 1390, 1544, 269, 5700, 950, 596, 786, 2253, 1603, 543, 723, 513, 1413, 693, 1018, 596, 1223, 1205, 3323, 1927, 609, 707, 1557, 1603, 5721, 563, 2750, 600, 1456, 14168, 31876, 769, 1557, 3732, 454, 305, 644, 21747, 11790, 1280, 3332, 1557, 1806, 1107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 547, 948, 2057, 18295, 6379, 269, 1717, 267, 952, 596, 616, 2907, 7231, 609, 18295, 6379, 267, 1224, 593, 547, 1451, 811, 827, 1018, 547, 798, 1985, 563, 31535, 2659, 21250, 656, 454, 5938, 839, 543, 9176, 12322, 666, 1205, 3407, 1344, 538, 594, 6415, 513, 24635, 2507, 663, 21250, 656, 269, 901, 786, 7291, 707, 5079, 543, 1683, 596, 609, 17170, 2200, 269, 1411, 786, 849, 991, 5796, 593, 8840, 519, 3377, 547, 707, 3237, 269, 901, 568, 519, 4305, 1034, 9176, 12322, 23487, 1034, 540, 782, 269, 570, 2454, 519, 2385, 1023, 602, 596, 2811, 9176, 568, 2760, 606, 2653, 3364, 547, 798, 269, 1403, 596, 616, 513, 7141, 543, 596, 1589, 596, 616, 9176, 267, 621, 568, 5227, 596, 798, 513, 1753, 6379, 1449, 1318, 2476, 269, 634, 19692, 596, 917, 267, 519, 811, 942, 596, 723, 547, 9260, 707, 3681, 543, 1376, 3168, 1310, 3054, 952, 596, 6430, 547, 1832, 707, 4816, 269, 1411, 786, 991, 547, 1294, 513, 4387, 1318, 2476, 543, 849, 1376, 2921, 27514, 8324, 543, 31447, 3679, 269, 1411, 849, 991, 547, 1451, 811, 827, 4509, 513, 2635, 2732, 1282, 6379, 543, 827, 799, 6878, 596, 991, 547, 2057, 1247, 9176, 267, 899, 14933, 267, 4568, 543, 13189, 563, 5719, 2718, 2060, 26579, 454, 2026, 513, 2385, 267, 596, 666, 1451, 875, 547, 9305, 547, 707, 9176, 18295, 8250, 538, 3733, 17926, 568, 11109, 589, 17926, 269, 3371, 596, 786, 849, 1265, 930, 3407, 5796, 585, 31908, 540, 18295, 8695, 945, 723, 513, 9176, 8004, 23136, 269, 1656, 585, 3237, 945, 4250, 741, 14038, 949, 1831, 9176, 267, 972, 616, 930, 4388, 538, 24635, 26579, 10644, 547, 948, 2327, 707, 20766, 1118, 519, 1318, 3664, 827, 741, 14920, 269, 6258, 875, 547, 2911, 16175, 609, 707, 12322, 538, 32695, 2060, 1855, 839, 6168, 590, 7232, 29930, 269, 5213, 1405, 7227, 585, 707, 7141, 547, 2097, 1753, 9176, 269, 5620, 606, 1930, 543, 18367, 4901, 827, 3023, 543, 4332, 1852, 2221, 563, 2252, 596, 2811, 14542, 609, 519, 1114, 3029, 540, 4332, 1852, 267, 3828, 12351, 11416, 17510, 6513, 666, 1683, 596, 609, 930, 1271, 1344, 269, 634, 30346, 267, 9473, 1682, 543, 1411, 814, 513, 2143, 7778, 827, 1079, 540, 519, 1034, 2442, 3029, 540, 4332, 1852, 1247, 7849, 17510, 6513, 786, 1683, 596, 609, 3407, 1344, 827, 824, 15333, 21082, 2409, 269, 4746, 3314, 602, 4332, 1852, 2409, 899, 7873, 1682, 616, 711, 1175, 1271, 538, 7303, 6379, 269, 1358, 616, 849, 4105, 538, 7863, 3054, 1996, 5254, 17762, 1282, 3023, 269, 6258, 811, 2221, 563, 13425, 856, 713, 2376, 689, 7330, 4653, 593, 18295, 6379, 3928, 454, 19064, 27389, 656, 543, 4743, 18901, 286, 13185, 609, 824, 9176, 12322, 538, 519, 8468, 2008, 8070, 513, 6085, 454, 11039, 594, 3893, 1250, 1974, 713, 3923, 543, 519, 476, 272, 560, 1554, 621, 729, 1769, 543, 519, 2034, 1554, 621, 729, 5230, 543, 519, 476, 274, 6113, 543, 476, 275, 628, 1554, 621, 729, 899, 31986, 543, 1250, 1974, 7363, 16569, 513, 3018, 543, 568, 5230, 519, 1101, 476, 274, 610, 476, 275, 2395, 543, 621, 9292, 1206, 547, 2482, 593, 1250, 7181, 1028, 4166, 607, 594, 1205, 1055, 1250, 7181, 519, 1928, 4422, 2476, 594, 849, 666, 1405, 2482, 1524, 593, 513, 521, 1068, 320, 684, 851, 540, 1250, 2427, 666, 594, 581, 9176, 15017, 17098, 594, 723, 1044, 11842, 952, 922, 3339, 547, 723, 513, 3043, 11166, 1287, 513, 7008, 2395, 2663, 723, 31986, 609, 1100, 824, 2681, 610, 979, 4141, 344, 11166, 594, 723, 14406, 1250, 1974, 855, 1250, 1974, 568, 12150, 855, 814, 1044, 3339, 585, 519, 2250, 7008, 540, 3275, 594, 21645, 723, 519, 2724, 547, 979, 547, 519, 4387, 8259, 594, 993, 585, 2386, 269, 594, 723, 1044, 31986, 267, 2348, 1394, 1928, 267, 4743, 562, 1021, 748, 267, 543, 1745, 328, 532, 13110, 782, 519, 942, 3006, 594, 1175, 21645, 1616, 547, 3548, 543, 3006, 594, 18085, 3247, 4189, 543, 1250, 7181, 7959, 5230, 855, 711, 2182, 269, 1548, 1058, 594, 8263, 888, 327, 4512, 8206, 1250, 2012, 568, 562, 6511, 267, 574, 28465, 543, 476, 603, 1074, 708, 9176, 269, 8811, 1511, 796, 31695, 3023, 609, 1250, 7911, 23136, 543, 538, 1197, 917, 952, 708, 9176, 1317, 1775, 17647, 12150, 5712, 11075, 746, 1775, 1205, 513, 1449, 888, 296, 723, 1044, 1210, 606, 28284, 6539, 547, 2119, 547, 32230, 609, 1250, 7911, 23136, 269, 2201, 513, 4090, 540, 8467, 19890, 594, 1185, 1894, 609, 1250, 608, 267, 2705, 972, 729, 1100, 2407, 26697, 267, 646, 5795, 803, 5711, 3023, 855, 11579, 3603, 803, 609, 1010, 11263, 269, 4595, 646, 729, 21736, 267, 594, 6415, 2469, 998, 519, 14196, 540, 1018, 1010, 3348, 636, 1223, 723, 20335, 803, 9176, 269, 594, 993, 9176, 267, 855, 594, 1745, 15265, 593, 2348, 22027, 593, 945, 949, 581, 519, 4651, 269, 1772, 972, 1022, 7872, 602, 646, 1223, 723, 20335, 803, 9176, 952, 1010, 3348, 636, 3893, 3330, 803, 609, 1010, 11263, 610, 998, 27012, 286, 634, 1101, 1554, 540, 1250, 2063, 1974, 729, 519, 476, 280, 628, 269, 594, 729, 609, 1250, 608, 593, 519, 476, 1704, 855, 519, 28284, 6539, 729, 711, 2318, 2394, 519, 476, 2641, 560, 269, 3733, 5712, 616, 2356, 1063, 476, 1839, 543, 476, 3066, 2395, 269, 16393, 519, 28284, 6539, 581, 4636, 610, 1223, 519, 3348, 636, 2661, 2614, 3330, 803, 547, 1205, 803, 9176, 676, 519, 942, 594, 27581, 729, 9065, 6819, 286, 7490, 948, 26008, 2336, 6202, 2871, 612, 1018, 708, 2348, 7372, 27373, 543, 1775, 1810, 1405, 917, 1018, 547, 798, 267, 1250, 7911, 23136, 568, 856, 6300, 532, 609, 1010, 544, 636, 543, 1775, 18085, 1847, 2807, 2433, 21948, 1862, 1775, 13842, 621, 1934, 1862, 26008, 972, 568, 1100, 5985, 2282, 803, 543, 1100, 1753, 6049, 1018, 798, 1775, 798, 11631, 0, 17359, 6609, 1607, 2518, 10471, 3568, 513, 28094, 540, 715, 13048, 5638, 585, 476, 26237, 32420, 2249, 693, 476, 275, 866, 1367, 4609, 7856, 593, 782, 17407, 689, 519, 954, 339, 10537, 547, 476, 4649, 544, 3178, 269, 2353, 5638, 616, 13387, 547, 5993, 19666, 3327, 2504, 630, 326, 595, 544, 268, 273, 29757, 268, 272, 264, 543, 616, 10483, 676, 2143, 3454, 517, 13929, 543, 27696, 1344, 269, 634, 10471, 2488, 513, 4493, 585, 2199, 267, 6237, 543, 2518, 13354, 2090, 540, 519, 715, 13048, 540, 14015, 10664, 267, 543, 568, 11358, 585, 8236, 513, 1732, 1620, 540, 519, 1909, 4262, 933, 2644, 1404, 538, 519, 2518, 9381, 3327, 4783, 563, 300, 677, 523, 674, 269, 16677, 619, 523, 630, 24478, 528, 264, 298, 4275, 589, 269, 918, 5300, 327, 753, 331, 630, 24478, 528, 5148, 623, 2089, 320, 808, 269, 18703, 630, 24478, 528, 994, 25002, 6860, 8693, 7827, 22948, 1923, 476, 2004, 274, 4905, 12539, 14938, 652, 1674, 3163, 1923, 17905, 1923, 674, 5308, 281, 11982, 267, 26216, 543, 21996, 1923, 674, 5308, 281, 18143, 9443, 1923, 674, 5308, 281, 3047, 543, 1644, 2825, 9443, 11406, 27165, 19928, 3176, 16193, 454, 19868, 514, 547, 11090, 713, 2594, 609, 6209, 17161, 547, 1118, 621, 4443, 547, 3605, 454, 268, 2518, 2433, 476, 279, 325, 21497, 321, 4281, 3887, 6924, 322, 268, 275, 322, 279, 321, 8584, 30663, 268, 272, 324, 3583, 278, 9032, 323, 659, 6187, 454, 268, 20396, 2433, 476, 1015, 269, 2568, 279, 275, 8276, 280, 8807, 580, 3333, 732, 269, 16825, 279, 2537, 2420, 18192, 275, 0, 288, 17725, 10936, 19862, 540, 19826, 665, 2128, 3133, 630, 301, 2444, 2128, 1107, 2372, 652, 14585, 264, 814, 1044, 9516, 676, 519, 15111, 585, 5826, 2126, 540, 6171, 645, 1321, 10638, 269, 715, 2444, 2128, 568, 2907, 2139, 607, 606, 703, 3757, 29569, 15074, 269, 12192, 645, 1321, 10638, 267, 8995, 676, 11506, 16796, 9830, 540, 18861, 7356, 4577, 3679, 609, 610, 1510, 11506, 16796, 4630, 7514, 4614, 710, 543, 1970, 16796, 645, 1321, 9830, 630, 283, 1220, 30127, 8276, 299, 1070, 568, 1455, 538, 4587, 2550, 269, 272, 454, 7712, 15499, 10338, 540, 645, 1321, 949, 581, 15176, 267, 519, 8912, 5826, 2126, 540, 10638, 568, 703, 1090, 31100, 13297, 540, 519, 6171, 538, 13066, 540, 476, 272, 8406, 1169, 476, 275, 4374, 630, 12898, 811, 7928, 13066, 723, 17468, 16796, 9830, 547, 3339, 2157, 1040, 1717, 267, 538, 2550, 609, 693, 13116, 8819, 8539, 543, 1256, 538, 1346, 609, 829, 5371, 1190, 17350, 267, 930, 5711, 19826, 665, 2128, 3133, 630, 12671, 476, 272, 8472, 568, 12842, 676, 18236, 269, 273, 589, 19747, 267, 6417, 4693, 9236, 5711, 547, 30822, 614, 531, 19826, 665, 2128, 3133, 3797, 538, 28119, 2550, 1336, 3232, 5711, 476, 273, 2173, 326, 13066, 540, 519, 6171, 607, 2500, 607, 10865, 24409, 269, 274, 454, 5591, 2090, 723, 1044, 4080, 609, 519, 7199, 1007, 19862, 269, 6481, 13178, 568, 5227, 267, 1100, 2339, 1018, 2126, 568, 1031, 267, 547, 3561, 3339, 1436, 540, 22104, 11043, 17523, 563, 272, 269, 681, 22548, 651, 1696, 620, 269, 10644, 540, 6171, 645, 268, 1321, 10638, 538, 2025, 2085, 269, 2549, 808, 7885, 25326, 337, 476, 1220, 272, 282, 476, 10463, 281, 14681, 563, 273, 269, 14174, 700, 25005, 548, 269, 17327, 524, 2128, 3133, 585, 829, 5371, 1190, 17350, 269, 6925, 779, 1655, 6854, 5728, 286, 808, 24717, 476, 1960, 272, 282, 476, 25228, 281, 11463, 563, 274, 269, 7537, 918, 15120, 332, 1231, 7288, 1696, 620, 269, 13229, 2126, 540, 524, 2128, 3133, 10638, 609, 5711, 524, 2128, 3133, 269, 10552, 476, 1960, 279, 282, 476, 275, 281, 15686, 272, 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 ]
[ 610, 20849, 1344, 267, 3056, 873, 547, 12446, 693, 28836, 8753, 1759, 593, 3838, 12170, 13210, 269, 4935, 267, 771, 15574, 11044, 13389, 1808, 20748, 2516, 1522, 31194, 593, 4540, 5042, 12886, 547, 12927, 9053, 6386, 543, 15518, 527, 4476, 15852, 16752, 780, 5194, 3815, 7700, 547, 13438, 547, 771, 15574, 3322, 19815, 2438, 10462, 267, 610, 22027, 3823, 519, 10727, 543, 3972, 10290, 1465, 540, 2139, 1702, 2959, 630, 7079, 1160, 334, 6359, 523, 1299, 19958, 267, 476, 1001, 278, 1040, 769, 2053, 540, 4028, 1689, 543, 2810, 6988, 267, 1004, 949, 2490, 547, 23349, 610, 535, 16206, 2959, 585, 5583, 267, 7551, 20392, 2933, 547, 5732, 22801, 610, 7301, 1344, 269, 5047, 267, 4598, 547, 2789, 22522, 5380, 666, 22652, 4606, 540, 10539, 543, 8267, 332, 267, 2417, 2144, 5317, 6015, 538, 13416, 6791, 543, 5807, 606, 1604, 20009, 547, 771, 15574, 18640, 780, 1103, 1840, 547, 1367, 7400, 30661, 267, 6626, 1914, 19205, 2175, 849, 3337, 18687, 547, 771, 15574, 269, 1280, 1383, 267, 26445, 2059, 20748, 3515, 666, 1711, 16079, 20830, 1369, 799, 899, 16490, 2043, 7249, 26021, 267, 17923, 3838, 4978, 543, 7586, 4328, 1253, 6412, 2509, 16080, 11107, 630, 26422, 7322, 267, 476, 1220, 280, 1040, 10738, 971, 5054, 267, 771, 15574, 11044, 8853, 676, 29227, 840, 1410, 12371, 13253, 543, 12615, 908, 15523, 1063, 15180, 1249, 687, 269, 1306, 513, 1267, 267, 2899, 3964, 267, 891, 8954, 633, 6386, 666, 6961, 11259, 547, 15494, 3646, 267, 1303, 3402, 532, 2933, 1369, 7104, 3965, 543, 31328, 9979, 540, 5134, 6412, 543, 973, 19303, 780, 28403, 1944, 519, 15491, 2470, 540, 771, 15574, 19329, 513, 6687, 3994, 539, 1935, 547, 8396, 1154, 922, 1351, 4592, 633, 2360, 593, 11180, 7239, 269, 2311, 519, 1367, 1377, 267, 14237, 2923, 7924, 1983, 3788, 1898, 585, 16779, 4961, 547, 6330, 938, 5051, 27929, 1344, 5117, 269, 9012, 7924, 2069, 1058, 11168, 2565, 6268, 540, 2959, 267, 14694, 2542, 2994, 267, 543, 4656, 540, 1455, 5042, 25354, 602, 11904, 1004, 11630, 547, 12879, 630, 310, 710, 7921, 1696, 620, 1421, 476, 1001, 277, 1040, 1635, 30015, 2043, 609, 519, 2645, 2556, 547, 10646, 1249, 689, 5708, 267, 7855, 666, 948, 6830, 1518, 11180, 5238, 1996, 519, 3186, 8494, 1944, 3310, 540, 771, 15574, 780, 4263, 519, 6848, 1377, 267, 5466, 771, 15574, 3340, 13447, 539, 3646, 689, 2229, 8041, 267, 2029, 3549, 267, 543, 3540, 2486, 3906, 269, 1280, 3236, 267, 9431, 10850, 12044, 2228, 5867, 1590, 10880, 513, 10347, 3666, 1063, 8497, 1863, 4633, 2924, 543, 19086, 519, 28746, 2404, 609, 19856, 656, 771, 15574, 630, 24154, 1091, 24849, 1299, 20999, 267, 476, 1001, 279, 1040, 6684, 267, 10509, 10909, 1590, 8263, 5539, 585, 15645, 908, 3593, 24378, 1543, 543, 3384, 6620, 602, 3895, 6111, 543, 11413, 936, 2283, 1049, 1143, 543, 2205, 1275, 269, 7053, 267, 3540, 2486, 3906, 1058, 3136, 14957, 585, 2963, 2861, 13422, 1136, 267, 5807, 954, 16766, 5188, 267, 543, 8066, 1379, 15842, 24329, 18177, 585, 741, 5107, 538, 31328, 771, 15574, 6386, 780, 1103, 3932, 267, 771, 15574, 13514, 1713, 2591, 547, 11180, 10350, 267, 14944, 1456, 3972, 538, 4274, 6392, 267, 521, 12976, 6498, 10838, 4961, 267, 543, 2144, 5317, 5132, 538, 4295, 12250, 22225, 269, 1677, 8396, 713, 1202, 573, 1190, 3463, 267, 5640, 267, 9439, 267, 543, 7255, 4961, 1590, 12840, 538, 1821, 2358, 5499, 3435, 602, 2232, 1312, 1367, 7400, 16426, 543, 11528, 10256, 540, 771, 15574, 269, 8307, 1287, 666, 649, 4126, 547, 11177, 8699, 547, 938, 5762, 3293, 1344, 5251, 543, 556, 3530, 3305, 519, 2956, 540, 5168, 607, 513, 22294, 540, 11180, 1272, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 8256, 969, 2510, 543, 5391, 5644, 723, 5892, 1044, 3254, 547, 8428, 538, 519, 4412, 3748, 547, 2070, 13998, 20675, 4784, 1344, 827, 10898, 607, 811, 26363, 982, 602, 7282, 2640, 269, 9717, 3604, 1063, 11122, 2510, 543, 5391, 5644, 538, 3463, 8417, 543, 5906, 8996, 4978, 267, 21374, 1063, 2797, 10066, 543, 11874, 1532, 328, 1078, 3841, 592, 640, 949, 3976, 2992, 1439, 18100, 8186, 1115, 269, 17968, 267, 971, 2164, 949, 28297, 547, 519, 2797, 15796, 693, 519, 942, 540, 3105, 1382, 267, 607, 519, 12402, 547, 1294, 4158, 4229, 693, 960, 568, 2219, 547, 581, 3152, 1851, 1346, 945, 616, 856, 540, 2797, 1379, 269, 1520, 9080, 21899, 1063, 891, 6589, 666, 1217, 875, 7239, 4431, 547, 519, 4161, 540, 15372, 626, 771, 15574, 11044, 269, 1284, 17908, 519, 4539, 540, 519, 476, 1001, 277, 772, 2529, 269, 12836, 547, 1449, 891, 12721, 3137, 540, 3604, 538, 11874, 1532, 328, 1078, 3841, 592, 640, 543, 931, 7032, 2350, 1143, 607, 513, 1599, 540, 2797, 10066, 269, 5565, 2090, 540, 4892, 7866, 4797, 2318, 12205, 914, 933, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 11514, 15574, 257, 607, 851, 540, 834, 303, 27773, 13316, 1315, 31666, 7701, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 4197, 21864, 16373, 543, 6355, 28841, 692, 8893, 20638, 281, 4841, 786, 1451, 827, 7580, 6725, 543, 875, 3549, 4228, 883, 1007, 6990, 780, 7072, 912, 5331, 596, 616, 851, 540, 513, 2319, 602, 5932, 513, 6216, 1007, 1826, 540, 4672, 8645, 256, 2659, 2816, 568, 547, 2097, 909, 609, 2081, 547, 6133, 707, 8949, 1521, 547, 6266, 540, 1004, 865, 707, 1870, 666, 1332, 543, 8011, 269, 1215, 1131, 596, 798, 621, 286, 1411, 1522, 1589, 827, 1018, 2186, 540, 10366, 3214, 543, 4079, 899, 267, 1141, 547, 6133, 519, 4672, 8645, 267, 543, 875, 1454, 547, 5279, 269, 1452, 3664, 616, 782, 851, 540, 1945, 1572, 834, 1598, 1538, 545, 6725, 3010, 4089, 476, 272, 281, 1548, 568, 21864, 16373, 888, 14343, 692, 2162, 9502, 543, 11957, 692, 25618, 545, 6725, 2337, 4213, 1711, 4566, 602, 2743, 519, 2115, 543, 6499, 540, 741, 5561, 1247, 2810, 6455, 543, 12434, 269, 1635, 4974, 1018, 5561, 1616, 267, 4213, 666, 1374, 2472, 543, 2533, 602, 786, 4482, 873, 269, 901, 1259, 267, 1312, 519, 6075, 543, 519, 1870, 4324, 2439, 2162, 7464, 2622, 7151, 692, 4131, 781, 1413, 693, 606, 1383, 281, 4952, 596, 1378, 513, 21097, 1796, 269, 1677, 946, 7580, 6725, 267, 1101, 267, 596, 991, 547, 1174, 945, 707, 5561, 616, 1765, 704, 4257, 3885, 593, 513, 3802, 1282, 4832, 1310, 7224, 976, 269, 8921, 267, 2015, 1018, 1346, 5561, 1616, 1765, 16673, 2041, 789, 4782, 4411, 10425, 609, 4195, 19790, 976, 543, 1100, 3773, 4006, 269, 7053, 267, 1544, 875, 547, 3914, 891, 5561, 3927, 32503, 1223, 1305, 909, 2282, 11614, 543, 14441, 1210, 10477, 8038, 619, 1472, 4884, 269, 4635, 7580, 6725, 267, 707, 21097, 1796, 786, 8853, 2439, 4089, 476, 273, 281, 24371, 5890, 21505, 20553, 1715, 29714, 454, 14343, 15365, 2162, 30258, 1280, 28841, 692, 2026, 4213, 1332, 267, 3006, 789, 6430, 547, 6133, 741, 2472, 610, 2533, 538, 1007, 4025, 269, 14992, 949, 3442, 547, 4283, 1007, 6990, 1317, 972, 781, 513, 8273, 3747, 585, 741, 17008, 610, 547, 1569, 2150, 11474, 2200, 269, 1879, 9750, 267, 4213, 1590, 5402, 2824, 6753, 1759, 593, 2188, 899, 2199, 4031, 267, 6735, 267, 543, 1761, 2208, 3255, 780, 2162, 19805, 589, 10369, 692, 4467, 3966, 625, 1419, 4584, 2477, 609, 4396, 5989, 267, 9952, 4074, 4229, 267, 543, 2178, 11615, 585, 7269, 2094, 891, 2609, 3565, 547, 1967, 269, 2913, 781, 1491, 513, 1483, 8996, 1383, 281, 15475, 596, 2196, 513, 21489, 12051, 3168, 547, 1930, 8637, 13383, 269, 2991, 9236, 1896, 3864, 6082, 267, 596, 1265, 602, 5125, 3091, 14222, 6283, 1949, 267, 5969, 12967, 2029, 267, 543, 16805, 4600, 269, 1306, 513, 1267, 267, 6679, 15945, 538, 5125, 2306, 1390, 2631, 585, 3395, 707, 1870, 2439, 6962, 912, 29603, 1103, 5758, 267, 1620, 7580, 6725, 2636, 4213, 547, 1921, 609, 741, 3077, 5304, 543, 5818, 20656, 269, 5047, 267, 950, 3549, 21825, 3442, 1007, 6990, 267, 789, 2990, 2933, 585, 1279, 3856, 1967, 269, 16792, 891, 3741, 666, 1291, 1022, 14679, 1524, 513, 2619, 4724, 13884, 269, 1924, 2436, 596, 5326, 540, 4881, 513, 3811, 21097, 1796, 610, 3056, 513, 2518, 13055, 267, 2141, 3314, 519, 2956, 540, 5100, 4058, 998, 7580, 6725, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 25618, 545, 6725, 568, 1031, 676, 606, 13539, 538, 1931, 547, 1020, 1655, 540, 741, 2344, 4566, 799, 666, 30593, 2115, 543, 7569, 540, 5561, 269, 2060, 519, 948, 540, 713, 4640, 267, 2754, 666, 2333, 741, 2773, 543, 4061, 12366, 1047, 741, 12434, 269, 898, 849, 11226, 2754, 547, 1831, 811, 5499, 543, 3860, 543, 849, 7520, 1732, 21774, 538, 1114, 543, 1007, 6990, 630, 310, 12291, 543, 28711, 10247, 267, 476, 1001, 273, 1040, 20211, 611, 807, 6828, 568, 29505, 10685, 2754, 799, 9388, 538, 7802, 267, 17960, 543, 31321, 269, 898, 729, 8547, 538, 476, 1220, 273, 543, 568, 2212, 32483, 1229, 538, 5507, 267, 2136, 8003, 269, 1715, 5898, 16909, 8645, 2012, 968, 292, 5586, 656, 892, 568, 5189, 676, 20211, 611, 807, 6828, 538, 519, 6990, 540, 5125, 269, 20211, 611, 807, 814, 6074, 5125, 585, 922, 1870, 7269, 1813, 547, 12021, 5989, 267, 5647, 1379, 543, 4527, 540, 5140, 13781, 799, 786, 9090, 2087, 2804, 4093, 269, 22702, 547, 824, 2197, 971, 607, 8050, 267, 789, 1281, 711, 723, 1434, 1382, 6703, 543, 5827, 13781, 267, 713, 568, 519, 2601, 585, 1781, 28009, 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, 1744, 24943, 267, 849, 1634, 607, 4173, 6647, 2098, 8803, 267, 568, 513, 10194, 3968, 602, 666, 2014, 11213, 30919, 543, 28338, 593, 707, 2960, 269, 898, 781, 3361, 676, 519, 1482, 3644, 602, 3123, 9269, 21479, 1107, 24430, 545, 7578, 22271, 8803, 3644, 630, 309, 313, 309, 1040, 4495, 596, 9156, 689, 9269, 21479, 267, 519, 3644, 13978, 26862, 630, 553, 2748, 264, 538, 707, 1560, 543, 666, 2746, 10675, 2663, 538, 1272, 607, 30133, 269, 901, 2356, 4523, 950, 707, 4761, 1062, 568, 18604, 1813, 547, 2566, 267, 4576, 267, 610, 10172, 780, 5331, 2348, 513, 3983, 3141, 14315, 267, 543, 1287, 2576, 14405, 6266, 540, 6263, 3515, 4904, 609, 2370, 18616, 782, 936, 707, 2960, 269, 744, 1276, 256, 2334, 781, 1018, 30133, 1522, 1745, 899, 269, 1411, 949, 1995, 32688, 267, 21422, 267, 610, 8781, 17915, 1354, 519, 4890, 16420, 5526, 269, 1452, 2589, 3335, 2049, 593, 835, 2427, 540, 707, 3068, 610, 1560, 267, 1739, 513, 8229, 13374, 269, 2991, 827, 1614, 547, 2947, 2395, 267, 1507, 5714, 23752, 28338, 2408, 267, 799, 5555, 1085, 629, 936, 1369, 5722, 547, 4557, 2395, 780, 3086, 267, 1577, 781, 2911, 827, 1946, 649, 4547, 909, 9269, 21479, 4505, 269, 9894, 596, 917, 602, 952, 596, 1185, 9269, 21479, 607, 513, 1126, 267, 519, 3644, 2760, 5963, 3762, 707, 1560, 286, 5502, 267, 621, 554, 1938, 3330, 707, 8401, 1062, 7996, 585, 519, 1318, 4090, 547, 10880, 1586, 607, 30133, 269, 1924, 267, 1256, 1498, 596, 2907, 3893, 7759, 540, 9269, 21479, 267, 596, 1869, 1616, 547, 2149, 3054, 1996, 30133, 780, 299, 3089, 1176, 267, 972, 616, 10074, 2139, 547, 948, 2061, 30133, 269, 2290, 971, 6669, 568, 1572, 1744, 532, 3700, 267, 543, 621, 3340, 1079, 13066, 2016, 1079, 547, 3670, 3275, 6306, 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 ]
[ 8716, 922, 6165, 269, 9255, 519, 5127, 538, 513, 9602, 2943, 3015, 1858, 1141, 707, 3032, 22939, 1034, 540, 922, 942, 610, 4749, 562, 2355, 269, 3680, 1164, 6808, 2127, 899, 2282, 9885, 267, 9486, 267, 610, 26776, 14233, 269, 19949, 4782, 2348, 513, 2312, 2070, 540, 741, 10450, 1247, 16889, 282, 4061, 267, 2327, 972, 568, 2614, 4055, 1472, 519, 5127, 585, 707, 3032, 547, 12701, 856, 543, 7747, 922, 1604, 780, 7659, 17785, 281, 1403, 2009, 267, 1747, 2789, 15135, 2429, 707, 1753, 547, 8597, 547, 707, 3032, 781, 1114, 2115, 1107, 835, 538, 513, 694, 7672, 5544, 585, 7834, 267, 1776, 538, 513, 811, 1514, 1858, 547, 3895, 5872, 267, 3092, 780, 3721, 476, 273, 281, 8564, 606, 5900, 847, 633, 5071, 543, 7698, 454, 763, 5920, 543, 9403, 540, 519, 3032, 5127, 1404, 1898, 5107, 538, 1303, 6005, 707, 26804, 3659, 547, 946, 621, 269, 8838, 585, 2326, 602, 18613, 1346, 1336, 538, 2470, 267, 971, 607, 2571, 535, 2720, 267, 726, 2313, 17234, 267, 610, 18955, 21823, 269, 3958, 267, 3442, 6272, 602, 17932, 2067, 15720, 4025, 267, 971, 607, 23572, 610, 30504, 269, 1452, 2934, 7148, 883, 707, 3032, 781, 15859, 783, 7375, 543, 1711, 513, 22205, 5790, 780, 21980, 3894, 912, 268, 7767, 538, 1164, 7779, 2326, 602, 616, 14463, 267, 2653, 547, 2973, 267, 543, 1875, 3562, 13877, 563, 268, 5269, 2386, 519, 5127, 814, 6659, 8728, 610, 5011, 585, 3773, 3354, 543, 4313, 1282, 3207, 563, 268, 2368, 7314, 2972, 14246, 267, 865, 2015, 8022, 21181, 610, 1582, 2914, 9879, 15135, 2966, 4481, 585, 10130, 780, 3721, 476, 274, 281, 29130, 26431, 454, 4504, 18166, 519, 1007, 5127, 7930, 2636, 707, 3032, 547, 1831, 5432, 609, 922, 4527, 1510, 4743, 16397, 269, 3399, 676, 11093, 519, 5127, 538, 606, 1930, 1858, 1141, 707, 3032, 2505, 757, 269, 14190, 707, 3032, 547, 2263, 519, 5127, 10446, 267, 1863, 689, 1022, 2604, 610, 6788, 269, 4676, 1778, 689, 16550, 707, 3032, 883, 519, 5127, 267, 799, 1223, 1291, 547, 2942, 12205, 780, 7659, 9669, 912, 268, 14109, 30257, 930, 540, 707, 3032, 781, 5172, 13000, 610, 9162, 3330, 519, 5127, 547, 1118, 621, 811, 13267, 563, 268, 28528, 6299, 513, 12308, 936, 707, 3032, 781, 20416, 15374, 630, 2183, 267, 1750, 4060, 267, 543, 1166, 3471, 264, 543, 1287, 21066, 5196, 519, 5127, 547, 4483, 922, 9329, 269, 901, 1184, 2306, 519, 5127, 1745, 10930, 543, 811, 5432, 547, 707, 3032, 780, 3721, 476, 275, 281, 21133, 15474, 23800, 2060, 519, 16170, 454, 17730, 2318, 2833, 2404, 609, 519, 5127, 4679, 519, 10171, 540, 707, 3032, 1210, 621, 32380, 269, 1975, 754, 942, 9361, 1985, 547, 519, 5127, 2502, 538, 2238, 707, 3032, 21593, 267, 899, 4620, 1154, 267, 4730, 267, 610, 5356, 13000, 269, 1306, 707, 3032, 9428, 6899, 1373, 2673, 547, 519, 5127, 267, 7444, 1847, 891, 4205, 2047, 5196, 519, 5127, 3294, 780, 21980, 3894, 912, 268, 18918, 538, 2110, 7886, 7620, 543, 8831, 8653, 1759, 593, 707, 3032, 781, 3210, 563, 268, 2142, 3461, 543, 2057, 678, 5241, 713, 1184, 269, 2913, 707, 3032, 1305, 519, 10605, 585, 1035, 743, 26305, 547, 519, 1007, 5127, 563, 268, 20644, 17192, 267, 15754, 267, 543, 12587, 950, 707, 3032, 32380, 13788, 519, 5127, 780, 3721, 476, 276, 281, 3629, 1290, 3228, 27294, 454, 29002, 3688, 602, 4163, 707, 3032, 781, 20416, 666, 2417, 2333, 519, 9029, 540, 519, 5127, 269, 6333, 6220, 29198, 267, 28734, 267, 610, 7802, 602, 4866, 547, 707, 3032, 610, 2270, 922, 20416, 269, 6684, 267, 4946, 513, 1906, 540, 707, 3032, 781, 5172, 9162, 7404, 7512, 7836, 942, 538, 543, 1472, 519, 5127, 780, 7659, 9669, 912, 268, 15585, 622, 12816, 3688, 5781, 547, 2226, 4195, 1145, 543, 2061, 9190, 2208, 563, 268, 11408, 11547, 1007, 3688, 1354, 10962, 873, 547, 707, 3032, 547, 4894, 1761, 8886, 1218, 543, 14542, 24462, 780, 6962, 912, 3528, 1739, 891, 3268, 29367, 543, 15268, 873, 2687, 547, 707, 3032, 781, 1367, 7209, 543, 7375, 267, 596, 666, 6707, 5000, 707, 3032, 547, 9772, 922, 1007, 5127, 607, 851, 540, 922, 3232, 6296, 269, 4793, 1466, 267, 11007, 267, 543, 1620, 616, 4105, 3334, 538, 2870, 513, 2318, 7681, 1063, 707, 3032, 543, 922, 5127, 269, 11086, 267, 5807, 513, 2631, 540, 3106, 267, 4313, 267, 543, 7772, 1369, 519, 5127, 5849, 513, 6126, 543, 1543, 539, 26804, 13959, 269, 0, 2237, 513, 1279, 543, 1360, 2143, 5850, 593, 834, 21886, 5971, 513, 9697, 547, 2422, 4706, 16170, 257, 538, 519, 2511, 540, 14392, 269, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 875, 621, 2337, 3035, 519, 5551, 6364, 267, 1519, 1883, 4388, 543, 4808, 269, 3550, 9355, 543, 16566, 267, 3850, 3988, 547, 3362, 1246, 543, 4019, 519, 5528, 269, 1684, 711, 946, 2592, 269, 0, 6637, 476, 1691, 281, 634, 7732, 781, 9050, 6441, 1122, 3022, 14886, 692, 5970, 596, 2479, 9289, 952, 2831, 1223, 723, 741, 1378, 8021, 286, 2107, 6148, 1256, 4952, 873, 10992, 856, 2835, 827, 3425, 610, 1565, 1007, 15361, 286, 4270, 267, 1577, 707, 9345, 2196, 3552, 1317, 538, 713, 3184, 267, 649, 786, 2263, 2984, 10023, 3662, 23233, 602, 7928, 8021, 2439, 20058, 267, 1577, 781, 2911, 827, 1946, 8021, 616, 1898, 4025, 585, 2950, 269, 23905, 2709, 1863, 1569, 547, 1344, 267, 2200, 267, 543, 2533, 602, 948, 2043, 1451, 267, 1332, 267, 543, 1921, 609, 835, 1776, 269, 1280, 3236, 267, 1589, 540, 782, 519, 4241, 2835, 7996, 547, 581, 4362, 693, 707, 2199, 5399, 256, 3767, 267, 1039, 930, 24566, 2828, 883, 519, 3575, 910, 3085, 1405, 602, 3280, 17175, 2496, 5331, 6972, 883, 707, 8378, 5399, 267, 1152, 547, 1265, 7314, 21514, 978, 532, 1851, 519, 1433, 588, 2931, 610, 5243, 4543, 3214, 2259, 2542, 16965, 269, 16319, 7543, 286, 6056, 1586, 256, 1703, 616, 1483, 3734, 8021, 1141, 971, 2295, 342, 9879, 10207, 11200, 3232, 269, 1452, 3797, 2831, 3643, 8021, 547, 1683, 4313, 267, 31070, 267, 543, 8404, 547, 3988, 540, 782, 6502, 543, 5759, 780, 3086, 267, 4605, 513, 8049, 10856, 3957, 19291, 2713, 1369, 519, 6821, 540, 513, 6264, 5399, 269, 769, 25562, 4144, 23173, 21034, 781, 3209, 834, 293, 3271, 320, 1299, 772, 569, 1087, 525, 2437, 19291, 25395, 1010, 6612, 585, 3332, 676, 31205, 562, 756, 17331, 998, 3817, 540, 2025, 27825, 269, 1879, 646, 13341, 7579, 320, 267, 513, 13371, 1433, 27423, 267, 606, 9058, 11505, 18742, 1063, 513, 8004, 543, 1200, 5339, 887, 4823, 13959, 269, 8625, 267, 789, 7832, 593, 554, 559, 13895, 9035, 4904, 609, 10100, 543, 11587, 780, 7775, 19424, 513, 12703, 2370, 15529, 1572, 14667, 945, 26136, 883, 519, 18137, 1169, 3781, 1282, 2622, 2782, 4083, 547, 5838, 2835, 547, 3885, 9674, 676, 2112, 269, 9122, 593, 3020, 2621, 267, 834, 10387, 1176, 13360, 525, 257, 676, 22118, 333, 1234, 573, 24434, 6645, 519, 9661, 540, 513, 726, 13806, 536, 22324, 5462, 547, 3262, 7924, 543, 4126, 9624, 14334, 269, 3414, 14667, 781, 22838, 267, 1453, 666, 1174, 519, 2956, 540, 6043, 543, 2069, 1282, 4101, 2053, 780, 7661, 267, 2015, 519, 8797, 22559, 15669, 267, 9986, 30591, 267, 538, 834, 299, 3869, 23193, 257, 2854, 676, 18466, 548, 12928, 644, 11420, 269, 2290, 12556, 995, 1554, 267, 513, 17794, 13788, 519, 1715, 3840, 5398, 7732, 267, 1454, 547, 3025, 781, 9983, 256, 2060, 9543, 5583, 689, 7323, 8585, 686, 933, 1430, 267, 519, 2212, 7172, 4115, 267, 543, 9986, 30591, 267, 519, 6292, 11414, 3407, 4245, 827, 6568, 267, 3652, 267, 543, 10362, 780, 1103, 3932, 267, 8021, 3180, 11995, 7399, 3564, 1480, 8223, 269, 1635, 6220, 14070, 3662, 3197, 899, 8983, 267, 17544, 267, 543, 1256, 21495, 267, 891, 2984, 4001, 721, 1271, 2418, 971, 607, 8296, 267, 16177, 267, 543, 7279, 269, 1924, 1985, 942, 596, 1900, 3330, 707, 2199, 5399, 267, 3314, 602, 519, 9059, 4422, 2484, 3564, 1175, 13504, 543, 1957, 282, 3006, 267, 6397, 17052, 24098, 538, 519, 1034, 22539, 15174, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 299, 622, 5437, 476, 1708, 274, 454, 2005, 779, 602, 942, 540, 1032, 950, 1004, 2992, 593, 1346, 1919, 585, 799, 789, 2461, 9684, 995, 269, 7324, 1346, 1919, 594, 6557, 9684, 995, 585, 568, 519, 15213, 2146, 267, 543, 922, 26772, 1489, 585, 519, 5399, 269, 9453, 602, 1489, 267, 649, 9327, 1406, 581, 2111, 547, 798, 1018, 649, 2648, 281, 4196, 519, 2146, 563, 763, 811, 594, 6557, 2111, 547, 3717, 609, 824, 19971, 1472, 519, 1533, 267, 519, 811, 594, 8275, 1175, 875, 2027, 15213, 568, 267, 543, 875, 18822, 649, 616, 607, 513, 5399, 547, 581, 4092, 1934, 269, 901, 568, 513, 2146, 602, 7466, 6512, 539, 1927, 547, 1711, 513, 5399, 2230, 585, 519, 4884, 269, 1656, 621, 779, 513, 2189, 2230, 267, 811, 2413, 982, 1082, 5399, 5656, 267, 543, 3710, 4481, 547, 2743, 519, 2146, 779, 2115, 563, 296, 6557, 849, 9684, 995, 585, 938, 13930, 7172, 12579, 267, 12540, 732, 974, 543, 2549, 7701, 269, 1358, 6023, 519, 1554, 3562, 6377, 5106, 540, 519, 5399, 267, 543, 594, 917, 519, 5399, 568, 538, 1434, 3946, 1247, 594, 6557, 512, 2056, 547, 519, 3297, 7308, 27214, 25333, 2238, 563, 296, 6557, 849, 9684, 995, 585, 519, 5399, 779, 8274, 540, 11565, 4315, 267, 513, 1895, 945, 568, 2141, 3168, 856, 585, 519, 5399, 779, 1655, 18222, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 16337, 1315, 12292, 1315, 10960, 5019, 6782, 1235, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 782, 519, 5665, 4632, 3238, 267, 799, 11482, 633, 13378, 454, 8245, 1637, 540, 1912, 6664, 7595, 18729, 13870, 676, 519, 4144, 5139, 3433, 6713, 454, 8794, 519, 6632, 1184, 267, 19552, 4224, 267, 799, 2882, 7513, 3267, 630, 935, 1417, 3603, 264, 543, 1287, 3006, 2666, 3819, 610, 6632, 998, 519, 946, 540, 3440, 14200, 610, 11425, 14200, 11482, 633, 13378, 454, 16248, 3157, 540, 7777, 4393, 3937, 547, 4194, 519, 1164, 4429, 2690, 519, 1164, 7509, 1543, 2326, 267, 519, 11493, 1184, 543, 15018, 1184, 3267, 5794, 25626, 1984, 7550, 676, 4224, 19552, 8869, 8860, 543, 10178, 1984, 7550, 3267, 540, 1216, 950, 2326, 4283, 3440, 1984, 267, 865, 602, 2326, 666, 581, 1989, 14800, 6632, 11482, 633, 13378, 454, 288, 14502, 5623, 540, 519, 20865, 10434, 6713, 808, 17584, 1912, 24043, 454, 974, 9592, 267, 519, 22911, 18729, 6713, 630, 310, 4338, 1070, 543, 547, 519, 1447, 1031, 543, 811, 1648, 14021, 3267, 5637, 654, 4338, 543, 594, 27426, 946, 19552, 4224, 799, 814, 1044, 24776, 538, 2901, 607, 851, 540, 23099, 1570, 8429, 998, 519, 5496, 568, 29656, 2666, 538, 513, 11831, 7085, 11482, 633, 13378, 454, 15031, 550, 2475, 279, 6858, 280, 2641, 280, 910, 6713, 585, 8600, 606, 3693, 531, 20962, 584, 4429, 11321, 476, 1839, 267, 476, 1001, 275, 3267, 634, 1184, 3096, 513, 24980, 1984, 267, 13296, 513, 23301, 7140, 1369, 513, 18921, 1540, 3267, 634, 20962, 584, 24980, 568, 5916, 543, 2746, 539, 609, 19552, 4224, 267, 543, 519, 3267, 476, 4350, 268, 1960, 267, 4766, 513, 6632, 3440, 17819, 1184, 585, 6721, 29656, 1862, 299, 633, 13378, 454, 32101, 540, 1272, 4783, 4879, 547, 519, 700, 7563, 2013, 3267, 910, 22219, 13017, 454, 2467, 568, 513, 6735, 1063, 6632, 543, 8143, 11507, 585, 3267, 519, 5933, 540, 5599, 543, 5834, 540, 519, 19552, 4224, 267, 1714, 268, 552, 11365, 16247, 3267, 634, 1292, 4238, 538, 713, 1900, 616, 17819, 267, 3267, 634, 6632, 1984, 268, 3824, 568, 1500, 538, 4401, 13063, 610, 3440, 14200, 11482, 633, 13378, 454, 874, 24043, 4224, 4393, 2095, 910, 25416, 7085, 2073, 332, 9394, 8302, 585, 4429, 4942, 6664, 7595, 18729, 13870, 1547, 3267, 522, 6396, 1031, 547, 7447, 1022, 7508, 2418, 540, 22803, 3327, 1543, 540, 19552, 4224, 585, 1142, 6632, 3491, 947, 8485, 7595, 1862, 299, 633, 13378, 454, 763, 1198, 540, 8860, 593, 519, 3679, 1637, 540, 19552, 4224, 454, 514, 513, 835, 14415, 267, 8047, 3440, 1984, 1500, 540, 16243, 5374, 265, 634, 1984, 3267, 16861, 8860, 1974, 729, 2556, 1354, 519, 15018, 5106, 642, 6652, 3323, 269, 23099, 907, 540, 5848, 315, 4512, 286, 324, 538, 4224, 28680, 512, 315, 329, 2041, 799, 22157, 547, 24571, 519, 28680, 269, 634, 1101, 2185, 8255, 1862, 299, 633, 13378, 454, 4252, 1984, 4070, 2324, 6240, 813, 2993, 12274, 910, 3047, 560, 1737, 3820, 454, 30761, 14200, 616, 849, 1031, 538, 5478, 540, 2073, 11831, 7085, 12164, 22552, 10813, 3582, 269, 3267, 4224, 19552, 8860, 1984, 3267, 7626, 1570, 1031, 538, 3440, 1984, 6632, 1826, 24775, 3440, 1984, 269, 3267, 25416, 1984, 3684, 267, 5106, 267, 2324, 6240, 15585, 776, 18741, 333, 267, 30761, 7085, 267, 3200, 673, 1862, 299, 633, 13378, 454, 335, 3174, 540, 8485, 7595, 3679, 910, 8605, 19731, 13734, 454, 763, 2596, 7998, 540, 519, 6632, 1184, 568, 9765, 5944, 2241, 269, 23099, 19552, 7725, 991, 9325, 2450, 5786, 267, 3622, 676, 3440, 610, 11425, 14200, 269, 5637, 14200, 666, 11482, 633, 13378, 454, 5825, 539, 11831, 24759, 910, 7557, 10320, 543, 16811, 454, 5472, 529, 30634, 11302, 590, 1386, 8403, 3440, 1984, 267, 476, 1724, 262, 8006, 1535, 476, 2641, 262, 1279, 267, 12285, 2000, 1441, 1984, 267, 609, 23099, 13058, 267, 19695, 267, 1291, 267, 25697, 22223, 267, 3046, 924, 267, 5657, 322, 267, 18761, 31354, 267, 19552, 4224, 267, 9160, 18654, 267, 1494, 1662, 3267, 1452, 14200, 1331, 3819, 610, 6632, 20836, 3440, 14200, 543, 2347, 1031, 3440, 1984, 1862, 299, 633, 13378, 454, 30761, 1984, 910, 9504, 454, 288, 3440, 1984, 568, 513, 1826, 540, 32291, 1031, 547, 20836, 543, 11100, 2326, 585, 946, 538, 7777, 19703, 3267, 769, 2013, 540, 11179, 13234, 3440, 1984, 267, 519, 1570, 547, 581, 2666, 568, 10480, 689, 519, 2451, 3267, 25416, 666, 581, 5645, 856, 2901, 6632, 610, 3819, 855, 519, 5449, 568, 5340, 693, 1970, 3432, 269, 3267, 589, 4224, 512, 3518, 2401, 3252, 593, 519, 1482, 6240, 269, 11831, 1862, 299, 633, 13378, 454, 10972, 2459, 28016, 19552, 2504, 1184, 454, 24479, 9494, 3440, 1984, 19580, 5599, 3937, 3436, 1019, 2459, 28016, 19552, 3267, 676, 2901, 513, 3819, 610, 6632, 1184, 769, 519, 3819, 1184, 4224, 19552, 568, 19552, 4534, 271, 610, 1862, 299, 633, 13378, 454, 13420, 3612, 590, 1944, 281, 19783, 610, 25416, 7085, 910, 476, 26605, 5450, 718, 4026, 626, 454, 19878, 476, 279, 267, 476, 1001, 277, 3267, 28900, 267, 609, 2370, 610, 1100, 23610, 5665, 1239, 17047, 538, 3730, 1106, 267, 621, 729, 2653, 2614, 267, 3267, 14339, 543, 11831, 631, 3739, 1142, 1683, 585, 1614, 476, 279, 16923, 10593, 540, 6024, 5106, 269, 3267, 1984, 476, 278, 269, 276, 3952, 538, 8006, 538, 1930, 5547, 282, 543, 547, 513, 6632, 8860, 24492, 1826, 3440, 1984, 476, 278, 269, 276, 3952, 538, 23099, 1912, 24043, 4224, 267, 476, 1704, 267, 476, 273, 269, 10619, 267, 476, 280, 269, 10844, 11482, 633, 13378, 0, 305, 657, 25445, 281, 9537, 267, 15486, 267, 543, 3816, 12203, 454, 288, 17172, 6048, 666, 948, 596, 1205, 519, 1318, 1416, 269, 901, 1416, 666, 948, 2061, 519, 887, 338, 25445, 689, 29083, 269, 12389, 797, 13815, 543, 700, 624, 999, 1222, 3057, 542, 645, 269, 29055, 5013, 827, 707, 2960, 267, 4552, 267, 543, 18969, 1215, 798, 2831, 2149, 741, 2960, 16164, 8675, 8805, 20570, 6153, 16164, 11310, 3992, 4566, 543, 2238, 9977, 2200, 11473, 5399, 4855, 513, 17172, 6048, 4208, 1294, 513, 4604, 2275, 1068, 1881, 17172, 6048, 286, 9105, 513, 32536, 6048, 269, 5851, 5398, 543, 2550, 15302, 543, 5574, 3600, 928, 543, 887, 338, 25445, 1772, 602, 18383, 610, 887, 338, 25445, 286, 901, 6881, 7960, 6385, 543, 729, 24395, 730, 676, 3141, 4598, 563, 763, 2550, 941, 782, 5701, 609, 6646, 585, 887, 338, 25445, 855, 4951, 1100, 6454, 269, 1452, 2550, 8385, 4843, 609, 3908, 2960, 9525, 538, 519, 9000, 540, 1022, 11528, 1129, 610, 2589, 540, 590, 4041, 269, 667, 1069, 10532, 657, 4345, 20336, 568, 606, 12982, 1250, 14527, 6353, 676, 8795, 5232, 540, 4887, 8467, 543, 10058, 2960, 22980, 29442, 320, 7612, 476, 272, 6902, 2705, 267, 930, 2550, 3668, 16757, 9525, 543, 7620, 1459, 609, 2960, 19183, 1152, 269, 12312, 1492, 25534, 1626, 4330, 7355, 585, 10747, 2960, 9525, 538, 20336, 563, 4415, 519, 9868, 540, 519, 927, 3999, 549, 701, 16420, 267, 11132, 22980, 29442, 320, 814, 6537, 2370, 3007, 538, 1991, 2090, 540, 20336, 23938, 2960, 19183, 269, 4475, 267, 744, 7288, 344, 4821, 1696, 620, 1704, 5340, 513, 24794, 8826, 1353, 593, 519, 2960, 19183, 540, 20336, 538, 476, 3451, 2550, 269, 634, 22602, 4767, 602, 631, 12717, 538, 519, 694, 4011, 337, 515, 545, 1858, 540, 519, 3068, 729, 1034, 7928, 269, 7612, 476, 272, 269, 5839, 983, 3423, 17675, 22980, 29442, 320, 540, 519, 3068, 538, 513, 3461, 609, 546, 1069, 10532, 657, 4345, 269, 7612, 476, 273, 563, 21691, 2096, 6973, 748, 1769, 20349, 8915, 532, 607, 22980, 339, 3012, 748, 13099, 2737, 936, 519, 32336, 543, 24725, 2460, 540, 519, 9224, 269, 2717, 2096, 6973, 748, 1769, 20349, 6751, 4041, 2073, 519, 1034, 1455, 540, 519, 7329, 11340, 987, 545, 2584, 617, 12938, 4680, 267, 568, 6353, 676, 22980, 339, 3012, 748, 13099, 2737, 267, 13099, 592, 7174, 2873, 267, 543, 29693, 13196, 593, 3141, 7721, 12723, 7252, 7612, 476, 273, 563, 763, 2127, 540, 519, 2960, 602, 616, 1034, 4122, 4299, 616, 519, 3068, 267, 8405, 267, 9018, 3344, 540, 519, 7916, 267, 543, 24725, 7252, 540, 519, 3946, 269, 634, 1696, 5735, 540, 6751, 4041, 568, 7164, 267, 1498, 621, 568, 2693, 547, 581, 12947, 716, 3645, 563, 5415, 689, 16164, 5516, 454, 13436, 885, 1063, 6751, 4041, 543, 887, 338, 25445, 1331, 12615, 566, 676, 3141, 4598, 543, 513, 2362, 9860, 538, 4023, 1606, 7219, 2740, 2043, 269, 769, 4334, 547, 887, 338, 25445, 267, 519, 12614, 540, 519, 22980, 29442, 320, 538, 6751, 4041, 568, 23589, 267, 17729, 3533, 1310, 3141, 4598, 543, 7449, 4575, 1369, 476, 272, 547, 476, 278, 2395, 269, 5015, 267, 2550, 609, 6751, 4041, 949, 1995, 11528, 1166, 592, 833, 2589, 1310, 3141, 4598, 269, 1530, 4011, 337, 515, 545, 27150, 568, 513, 5312, 882, 2355, 532, 13099, 592, 657, 638, 13904, 2960, 2068, 1034, 4122, 5473, 694, 321, 636, 11656, 2127, 971, 607, 519, 21435, 543, 3068, 269, 634, 9860, 540, 694, 4011, 337, 515, 545, 27150, 568, 2362, 538, 1480, 6375, 32759, 3644, 1765, 27168, 2043, 543, 538, 2550, 609, 11719, 545, 2175, 971, 607, 19576, 2068, 563, 763, 31630, 540, 694, 4011, 337, 515, 545, 27150, 814, 1044, 5532, 547, 519, 13803, 540, 5689, 21692, 345, 807, 2249, 267, 6375, 11043, 17244, 267, 543, 11852, 540, 1264, 906, 563, 288, 4791, 5868, 2356, 568, 1500, 1759, 593, 513, 1686, 540, 14589, 532, 543, 530, 22135, 538, 10335, 543, 676, 519, 4609, 540, 9525, 269, 5381, 547, 887, 338, 25445, 267, 694, 4011, 337, 515, 545, 27150, 568, 513, 5312, 543, 882, 2355, 532, 22980, 339, 3012, 748, 16420, 609, 1134, 24683, 2117, 730, 22980, 339, 3012, 748, 15649, 267, 13099, 2737, 267, 610, 29693, 13196, 282, 2705, 267, 7429, 887, 338, 25445, 267, 519, 3892, 9775, 689, 8766, 28105, 9470, 1465, 540, 519, 21435, 547, 811, 7839, 9525, 19838, 267, 21435, 267, 10772, 267, 5580, 2460, 540, 519, 17657, 267, 954, 339, 3419, 29532, 2127, 563, 9827, 267, 4352, 31004, 22980, 29442, 320, 543, 18440, 5473, 519, 829, 21590, 531, 1858, 7612, 476, 274, 949, 581, 2938, 538, 2901, 887, 338, 25445, 610, 694, 4011, 337, 515, 545, 27150, 267, 513, 6067, 6470, 2298, 547, 519, 10253, 543, 9525, 540, 824, 4609, 971, 607, 519, 21435, 267, 27164, 4768, 7781, 2960, 267, 543, 32071, 4900, 2303, 513, 5868, 540, 694, 4011, 337, 515, 545, 27150, 563, 10907, 928, 5175, 3258, 529, 568, 519, 1034, 1455, 2960, 2068, 538, 519, 2136, 2276, 269, 3600, 928, 5175, 3258, 529, 3335, 5540, 519, 2127, 540, 2960, 609, 519, 5207, 5860, 540, 694, 321, 17675, 32235, 1519, 519, 3068, 267, 5580, 2460, 540, 519, 9221, 267, 543, 1394, 269, 769, 11987, 15087, 538, 1312, 18383, 5175, 3258, 529, 543, 887, 338, 25445, 949, 581, 24802, 9838, 282, 2705, 267, 7429, 18383, 5175, 3258, 529, 267, 887, 338, 25445, 568, 6353, 676, 513, 2347, 9000, 540, 635, 539, 2158, 563, 288, 7986, 1298, 19745, 18432, 3892, 849, 7957, 832, 887, 338, 25445, 269, 1306, 513, 2489, 4341, 267, 18383, 19589, 538, 18273, 267, 1296, 1354, 13099, 592, 641, 755, 983, 887, 338, 25445, 2356, 3587, 7986, 563, 4913, 267, 930, 18383, 2550, 945, 616, 12155, 547, 1166, 5241, 543, 1025, 5241, 949, 1020, 887, 338, 25445, 2663, 538, 1272, 269, 589, 2487, 1353, 538, 519, 4750, 540, 24391, 538, 32536, 1108, 6902, 12286, 1279, 3856, 1239, 3823, 946, 540, 1490, 30266, 26593, 15074, 267, 799, 729, 14472, 25445, 568, 513, 1455, 4791, 5868, 602, 13315, 513, 3099, 540, 14245, 267, 15866, 5473, 519, 1298, 19745, 18432, 2960, 269, 7797, 539, 547, 14472, 25445, 568, 513, 1455, 5312, 4524, 602, 15866, 28107, 607, 11132, 22980, 29442, 320, 267, 22007, 30231, 624, 14901, 267, 543, 1166, 5241, 563, 8448, 3119, 4791, 4787, 760, 547, 1292, 1543, 269, 3873, 1815, 515, 2355, 15595, 1074, 2280, 345, 6230, 331, 454, 2304, 9337, 593, 519, 2126, 540, 887, 338, 25445, 454, 763, 4279, 631, 574, 1157, 619, 540, 14472, 25445, 269, 634, 4589, 1867, 1100, 4655, 540, 1719, 269, 6657, 18745, 14472, 25445, 568, 6353, 676, 7928, 1166, 5241, 282, 10770, 22980, 29442, 320, 26759, 267, 9434, 585, 693, 2547, 476, 274, 3275, 6902, 22007, 30231, 624, 14901, 282, 543, 954, 4944, 619, 539, 14501, 540, 6553, 609, 11926, 267, 13099, 2737, 267, 543, 533, 755, 2737, 269, 14472, 25445, 568, 1034, 4122, 2938, 538, 4079, 4587, 982, 476, 1789, 1296, 543, 568, 2808, 547, 723, 513, 2178, 22420, 5057, 267, 607, 621, 568, 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 ]
[ 711, 1331, 519, 4786, 267, 543, 602, 1152, 930, 12215, 616, 4628, 11954, 267, 607, 568, 713, 5299, 269, 2201, 713, 2034, 7160, 540, 519, 1257, 267, 3370, 519, 1482, 1032, 607, 519, 1101, 267, 16019, 4967, 281, 834, 1607, 15428, 2034, 7160, 540, 5345, 534, 781, 2079, 540, 1010, 4937, 10934, 540, 519, 5664, 3703, 16690, 625, 568, 12303, 513, 2985, 16519, 22240, 19268, 1154, 540, 519, 1101, 7160, 609, 1016, 268, 10643, 3773, 593, 6032, 269, 476, 277, 543, 476, 1556, 267, 543, 519, 1003, 1968, 476, 273, 17332, 547, 519, 2451, 540, 519, 15040, 593, 519, 4287, 531, 1899, 540, 519, 1101, 1079, 3762, 540, 1142, 844, 790, 538, 2185, 338, 1701, 834, 763, 4786, 568, 2808, 676, 12206, 547, 581, 519, 1034, 16529, 2773, 540, 922, 2186, 17298, 538, 3013, 909, 547, 602, 942, 267, 543, 922, 8313, 729, 513, 24182, 538, 519, 1646, 540, 8228, 6575, 538, 519, 7810, 1974, 257, 910, 5576, 23702, 345, 1299, 661, 327, 1066, 6199, 269, 631, 21135, 2207, 476, 2568, 277, 269, 595, 21283, 289, 21822, 476, 276, 6246, 269, 12601, 23177, 476, 278, 6078, 273, 269, 590, 5723, 2562, 476, 23211, 4037, 269, 670, 8582, 2464, 661, 26297, 269, 8863, 7838, 6224, 476, 1911, 274, 269, 654, 4047, 2969, 1299, 19836, 7419, 476, 29218, 269, 645, 4629, 310, 301, 267, 661, 2752, 14877, 30684, 306, 5508, 5990, 27846, 22473, 966, 3201, 4041, 312, 476, 6078, 269, 10911, 8577, 310, 21822, 267, 834, 4596, 299, 2177, 312, 9215, 25265, 2177, 25446, 22483, 2437, 6032, 269, 7871, 268, 7918, 267, 476, 11025, 269, 667, 9680, 3918, 2464, 5508, 15829, 2316, 307, 11070, 292, 476, 4097, 269, 717, 2752, 305, 3041, 2177, 267, 595, 11286, 24209, 5508, 623, 2894, 10064, 312, 299, 309, 3198, 8656, 267, 6032, 269, 29483, 268, 10619, 269, 11682, 6579, 4696, 5085, 15771, 8656, 281, 8946, 12767, 595, 7728, 308, 6020, 2464, 5508, 7537, 2207, 2975, 3198, 26353, 267, 6032, 269, 5038, 268, 6858, 269, 590, 6224, 310, 11286, 313, 1299, 661, 16281, 2894, 21612, 294, 267, 533, 269, 13679, 269, 5254, 7968, 295, 27602, 2177, 1299, 21025, 7417, 267, 966, 7644, 294, 2562, 8656, 5442, 30684, 306, 267, 533, 269, 11025, 269, 24639, 22664, 313, 267, 15562, 3633, 291, 5058, 5990, 966, 292, 6579, 476, 6872, 269, 5990, 20796, 17162, 13673, 23490, 19798, 3633, 476, 14838, 269, 918, 1467, 325, 601, 614, 267, 834, 299, 1168, 529, 27213, 543, 1010, 21476, 257, 538, 13138, 23177, 3722, 16739, 5508, 5990, 7537, 2207, 2975, 3198, 11682, 6579, 5308, 8008, 295, 13965, 14298, 5746, 4953, 312, 267, 5292, 269, 476, 8618, 267, 1100, 269, 476, 278, 630, 3192, 272, 1040, 21862, 839, 267, 700, 11246, 3041, 12601, 23177, 6730, 670, 3041, 30684, 630, 26780, 267, 476, 5002, 276, 1040, 10815, 454, 25820, 281, 476, 18231, 1822, 269, 876, 20430, 0, 1103, 3037, 1454, 811, 5567, 543, 1216, 616, 972, 585, 2371, 563, 263, 12507, 267, 2904, 476, 2537, 267, 476, 1001, 272, 476, 4905, 281, 1724, 281, 6187, 6751, 994, 1103, 3037, 1082, 14471, 1459, 269, 12130, 2928, 12298, 1143, 1404, 1271, 1909, 538, 3246, 8770, 585, 2371, 563, 306, 698, 926, 6390, 30605, 1767, 912, 263, 293, 686, 267, 9484, 476, 280, 267, 476, 1001, 272, 476, 6021, 281, 1839, 281, 6872, 6751, 994, 5522, 1218, 973, 10079, 741, 5567, 689, 3037, 1317, 3037, 5161, 540, 1434, 5567, 530, 747, 948, 538, 519, 2208, 540, 519, 2030, 563, 22829, 684, 267, 4239, 476, 273, 267, 476, 1001, 272, 476, 1321, 281, 5655, 281, 6872, 6751, 994, 305, 334, 1824, 4309, 922, 5567, 689, 3037, 543, 3761, 547, 519, 824, 2694, 540, 2030, 563, 4537, 23167, 1177, 1794, 681, 3570, 476, 31229, 14983, 271, 5379, 272, 1767, 912, 22829, 684, 267, 4239, 476, 1789, 267, 476, 1001, 272, 476, 6734, 281, 1839, 281, 1428, 6751, 994, 5522, 1218, 2256, 557, 741, 5567, 689, 3037, 939, 1787, 3037, 814, 1082, 5057, 799, 2838, 585, 2371, 269, 1924, 3037, 568, 513, 1655, 2626, 563, 22829, 684, 267, 8734, 476, 277, 267, 476, 1001, 272, 476, 4905, 281, 6872, 281, 4366, 6751, 994, 5804, 519, 5072, 519, 1216, 568, 10024, 883, 621, 269, 634, 5072, 616, 23478, 1216, 547, 782, 2694, 540, 519, 2030, 543, 865, 621, 568, 3478, 5567, 689, 519, 5072, 1459, 538, 519, 3037, 563, 22829, 520, 267, 3967, 476, 2641, 267, 476, 1001, 273, 476, 6021, 281, 6860, 281, 6860, 6751, 994, 14737, 5644, 616, 3638, 538, 3037, 563, 263, 12507, 267, 3967, 476, 1789, 267, 476, 1001, 273, 476, 4962, 281, 6795, 281, 3607, 6751, 994, 5522, 1218, 4309, 5567, 689, 3037, 998, 5072, 1287, 1535, 1803, 332, 610, 943, 5979, 655, 3560, 621, 547, 782, 2694, 519, 540, 2030, 563, 263, 1320, 340, 267, 4924, 476, 280, 267, 476, 1001, 273, 476, 6734, 281, 4391, 281, 1321, 6751, 994, 5522, 1218, 4852, 7719, 529, 19346, 689, 7943, 269, 2961, 8510, 3433, 1683, 3327, 543, 7250, 547, 2371, 269, 744, 1506, 2102, 786, 973, 1882, 689, 5790, 998, 1365, 2787, 269, 21193, 4088, 267, 943, 657, 704, 748, 543, 1494, 1601, 328, 558, 568, 4767, 689, 3037, 998, 3742, 543, 12809, 2428, 1304, 19718, 2409, 609, 519, 948, 540, 5072, 269, 14606, 568, 519, 803, 514, 2707, 585, 12550, 543, 2890, 5567, 269, 901, 949, 689, 2067, 3037, 610, 13226, 3498, 563, 22829, 684, 267, 4924, 476, 1321, 267, 476, 1001, 273, 476, 1556, 281, 3451, 281, 6734, 7537, 994, 3383, 559, 568, 1292, 2707, 585, 519, 2208, 2371, 1547, 2005, 3568, 8770, 543, 6886, 3092, 2483, 263, 1320, 340, 267, 4924, 476, 1626, 267, 476, 1001, 273, 476, 6021, 281, 4905, 281, 866, 6751, 994, 5522, 1218, 973, 10079, 741, 5567, 5631, 689, 3037, 1317, 621, 568, 3037, 799, 3568, 1208, 639, 267, 1216, 543, 6886, 585, 1697, 2208, 540, 519, 2030, 269, 2467, 616, 849, 930, 3730, 17973, 1459, 538, 519, 3037, 563, 263, 293, 686, 267, 4455, 476, 277, 267, 476, 1001, 273, 476, 4905, 281, 1321, 281, 4097, 7537, 994, 5522, 1218, 11392, 5567, 689, 3037, 1535, 1803, 332, 4483, 891, 6886, 547, 6978, 267, 1310, 19344, 943, 5979, 600, 4483, 1426, 547, 782, 2694, 540, 2030, 563, 263, 293, 686, 267, 9947, 476, 1428, 267, 476, 1001, 273, 476, 1556, 281, 6349, 281, 6246, 7537, 994, 2467, 616, 930, 3730, 17973, 1459, 538, 519, 3037, 563, 3383, 559, 2488, 2614, 5567, 547, 2371, 998, 1535, 1803, 332, 6077, 563, 24867, 826, 267, 9484, 476, 1240, 267, 476, 1001, 273, 476, 6021, 281, 6349, 281, 7906, 6751, 994, 3383, 559, 1683, 2614, 8770, 1519, 1216, 585, 2030, 563, 263, 12507, 267, 4239, 476, 2420, 267, 476, 1001, 273, 476, 1321, 281, 2004, 281, 4391, 7537, 994, 1103, 3037, 21193, 4088, 1543, 543, 11379, 1543, 616, 811, 543, 519, 2371, 666, 1205, 713, 9115, 3362, 689, 3037, 1317, 540, 519, 5072, 799, 616, 1459, 896, 519, 3037, 666, 1491, 713, 5567, 2059, 609, 519, 1216, 1459, 538, 519, 3037, 1360, 3362, 563, 1320, 597, 636, 531, 4414, 11276, 1767, 912, 24867, 826, 267, 3967, 476, 272, 267, 476, 1001, 274, 476, 5400, 281, 7918, 281, 5325, 6751, 994, 763, 3037, 568, 2874, 519, 5634, 1023, 267, 4248, 267, 21065, 553, 2676, 307, 26320, 10067, 534, 663, 807, 1767, 912, 263, 1320, 340, 267, 4924, 476, 2641, 267, 476, 1001, 274, 476, 1015, 281, 3451, 281, 4649, 7537, 994, 3383, 559, 568, 519, 13111, 540, 782, 519, 5567, 543, 1216, 563, 263, 12507, 267, 3057, 476, 1556, 267, 476, 1001, 274, 476, 4905, 281, 7906, 281, 1839, 7537, 994, 1103, 519, 3037, 972, 616, 6886, 543, 1216, 602, 616, 16487, 538, 2030, 998, 1535, 1803, 332, 543, 943, 5979, 655, 563, 263, 26607, 267, 3057, 476, 736, 267, 476, 1001, 274, 476, 6860, 281, 2412, 281, 736, 7537, 994, 2026, 782, 519, 12550, 543, 2890, 5567, 616, 1459, 538, 519, 3037, 267, 2371, 609, 519, 948, 540, 5072, 616, 2111, 547, 10110, 519, 5567, 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 ]
[ 14971, 5856, 610, 513, 19023, 1913, 19431, 267, 713, 16311, 568, 519, 3501, 4316, 547, 4161, 3054, 543, 13686, 707, 13007, 563, 7476, 4712, 547, 4685, 883, 513, 1158, 540, 3970, 1652, 7399, 607, 649, 3391, 596, 998, 519, 1184, 540, 4466, 519, 3501, 2012, 585, 707, 1603, 6735, 563, 4131, 707, 5876, 865, 541, 543, 6443, 721, 593, 713, 3078, 3460, 2336, 290, 2255, 344, 5675, 26269, 18780, 454, 272, 269, 3503, 1299, 12736, 256, 476, 273, 269, 9293, 19431, 8058, 6658, 32273, 491, 20804, 476, 274, 269, 6755, 2782, 19144, 5236, 372, 493, 414, 504, 498, 20804, 476, 275, 269, 11300, 769, 330, 7420, 32273, 496, 20804, 476, 276, 269, 634, 4279, 6478, 15391, 5236, 372, 493, 27501, 478, 20804, 476, 277, 269, 2480, 1026, 1076, 2006, 807, 476, 278, 269, 16520, 681, 18443, 476, 279, 269, 3503, 898, 4934, 700, 3716, 256, 476, 280, 269, 634, 31597, 5675, 8058, 6658, 32273, 491, 20804, 476, 1015, 269, 9293, 1133, 548, 14414, 5236, 372, 493, 5236, 372, 493, 476, 1556, 269, 634, 5675, 674, 1066, 5414, 5236, 372, 493, 476, 1321, 269, 18222, 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, 5530, 589, 1749, 1315, 4937, 1315, 13229, 8074, 6874, 1136, 9828, 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, 8893, 281, 4425, 24031, 2659, 11020, 5295, 998, 5678, 4804, 692, 8702, 547, 713, 3078, 3992, 1141, 649, 786, 2263, 875, 1565, 513, 1007, 1893, 666, 948, 2087, 707, 2634, 1379, 256, 1411, 1522, 581, 11842, 1018, 713, 814, 547, 798, 609, 1072, 543, 8516, 267, 855, 3972, 721, 267, 621, 1281, 256, 1635, 1565, 513, 1007, 1893, 267, 899, 2296, 607, 513, 14579, 5678, 630, 9128, 299, 1070, 596, 616, 4758, 707, 2634, 513, 15904, 602, 666, 723, 2318, 2360, 593, 824, 2127, 540, 707, 1272, 267, 971, 607, 4638, 1072, 543, 2773, 19349, 269, 1924, 1577, 781, 1205, 3323, 2439, 5575, 267, 1577, 781, 1174, 1946, 1565, 513, 1007, 1893, 666, 5818, 707, 2634, 1379, 269, 1879, 596, 1451, 513, 1007, 1893, 267, 707, 2634, 814, 547, 960, 2182, 547, 1184, 543, 3314, 1007, 1913, 267, 8239, 3652, 267, 543, 2686, 16082, 269, 3807, 899, 950, 596, 3635, 707, 1560, 267, 16706, 707, 2634, 2337, 1832, 621, 2178, 543, 2635, 269, 5525, 723, 3254, 602, 1004, 945, 3717, 811, 982, 835, 1893, 4043, 547, 1685, 1732, 593, 5042, 4255, 543, 723, 2539, 4220, 540, 2085, 5829, 5042, 7771, 780, 3086, 267, 1577, 781, 1491, 513, 6251, 1413, 693, 875, 661, 14566, 1565, 4481, 666, 4324, 707, 2634, 269, 2290, 1271, 2460, 540, 661, 14566, 1565, 568, 1945, 1572, 834, 3598, 1676, 13190, 1701, 3231, 1676, 13190, 1797, 2921, 5539, 585, 707, 1378, 1565, 543, 1373, 2111, 547, 1463, 707, 1378, 2090, 269, 1280, 1383, 267, 3079, 540, 13461, 9003, 593, 707, 4116, 547, 4001, 596, 2296, 267, 596, 1522, 1305, 3853, 585, 3054, 267, 1265, 3606, 2200, 547, 2259, 609, 267, 543, 2992, 593, 707, 3356, 269, 28552, 15226, 13190, 666, 948, 1628, 6015, 267, 8404, 267, 543, 7115, 910, 782, 7907, 602, 666, 14377, 883, 4824, 4081, 2773, 543, 2949, 1967, 538, 1272, 780, 3383, 875, 666, 596, 1376, 8026, 15226, 13190, 538, 661, 14566, 286, 3371, 616, 930, 4388, 1384, 265, 5590, 1808, 267, 22905, 267, 24276, 267, 4143, 267, 543, 942, 27995, 630, 15551, 11286, 264, 3853, 585, 707, 2296, 2090, 269, 1280, 1383, 267, 3079, 540, 6031, 834, 296, 1616, 547, 1205, 1732, 693, 6340, 2296, 2437, 2119, 4259, 513, 3804, 899, 834, 296, 786, 2285, 513, 2947, 18826, 6881, 538, 2296, 538, 4395, 540, 1250, 15032, 1985, 3923, 4799, 265, 4855, 3606, 2200, 547, 2259, 609, 3564, 707, 2834, 2296, 5049, 269, 1452, 1223, 1331, 2228, 4245, 267, 2835, 267, 27143, 267, 9413, 267, 610, 6643, 4891, 269, 5269, 2386, 547, 3442, 2200, 602, 5447, 609, 707, 4690, 543, 3853, 563, 265, 14484, 593, 707, 3356, 5781, 269, 9105, 3054, 2055, 899, 834, 1432, 993, 594, 3257, 1134, 8119, 834, 1432, 2591, 993, 594, 6849, 8119, 834, 1692, 666, 594, 7753, 1346, 2591, 8119, 5901, 3950, 540, 707, 4267, 936, 942, 865, 596, 666, 1294, 875, 2484, 596, 4312, 2097, 780, 7661, 267, 1577, 781, 2263, 930, 2188, 602, 666, 1860, 14628, 1565, 538, 2296, 1893, 1362, 269, 2368, 540, 891, 2188, 1331, 1384, 265, 11819, 1489, 281, 11109, 513, 11215, 4116, 945, 7512, 4830, 1565, 543, 2488, 5583, 950, 2877, 666, 1118, 513, 2462, 3017, 538, 4543, 596, 1745, 8746, 543, 12592, 547, 2259, 15226, 13190, 563, 265, 15858, 1604, 281, 589, 2318, 267, 8537, 267, 543, 10319, 4928, 5790, 666, 1711, 513, 2922, 2230, 585, 596, 547, 4603, 609, 1007, 1893, 1983, 543, 4309, 5955, 689, 9905, 563, 265, 8836, 4282, 281, 13689, 593, 707, 2686, 4282, 267, 596, 949, 723, 1114, 8456, 2509, 15226, 13190, 543, 1582, 30928, 1565, 269, 9861, 3222, 540, 891, 3604, 543, 18245, 3309, 5380, 666, 6536, 8994, 1620, 543, 2208, 780, 1103, 3932, 267, 1565, 513, 1007, 1893, 899, 661, 14566, 666, 1683, 3875, 2640, 585, 707, 2634, 1379, 267, 6015, 267, 8404, 267, 543, 2949, 1967, 538, 1272, 269, 1635, 8026, 15226, 13190, 543, 2921, 5279, 540, 707, 1378, 1565, 267, 596, 666, 12260, 1256, 3152, 1761, 543, 2972, 519, 3460, 2059, 519, 1259, 269, 8414, 4974, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 2752, 12087, 4041, 1923, 8222, 281, 1015, 269, 20385, 4510, 270, 2181, 21646, 1708, 21076, 269, 22650, 274, 18192, 272, 454, 20428, 281, 4317, 7070, 267, 4065, 27511, 281, 661, 14566, 1565, 282, 15226, 13190, 282, 15938, 2069, 1377, 454, 15697, 281, 476, 273, 5437, 476, 1708, 273, 630, 1015, 281, 3393, 281, 4097, 595, 4953, 994, 763, 1353, 8947, 519, 15226, 13190, 538, 661, 14566, 1565, 693, 519, 15938, 1377, 538, 519, 2796, 540, 16273, 269, 898, 11567, 519, 7145, 540, 15226, 13190, 593, 661, 14566, 1565, 269, 14755, 267, 621, 8268, 519, 2188, 7133, 14628, 1565, 538, 2296, 1893, 1362, 269, 901, 1353, 7550, 513, 6404, 268, 1505, 1935, 269, 4578, 941, 6394, 689, 476, 2568, 1053, 945, 1185, 1175, 6192, 741, 2034, 19496, 693, 513, 4357, 6280, 538, 20144, 10440, 2749, 269, 634, 4431, 550, 1053, 13984, 519, 25471, 2296, 5748, 1576, 1519, 741, 1079, 5033, 22246, 269, 4578, 941, 849, 6394, 689, 476, 1321, 20700, 307, 3610, 3450, 693, 519, 24596, 2069, 1377, 269, 12866, 661, 14566, 5049, 941, 4767, 1739, 513, 3732, 540, 4928, 8343, 8430, 269, 5637, 1930, 25804, 543, 6806, 25804, 26830, 941, 1031, 676, 519, 3173, 585, 2445, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 31178, 1299, 32362, 1315, 9093, 781, 2657, 1315, 20351, 2657, 543, 13437, 28389, 618, 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, 938, 1576, 1770, 782, 827, 2370, 5869, 2831, 256, 1411, 1522, 581, 11842, 1018, 649, 1611, 950, 649, 2161, 834, 331, 8077, 5869, 2831, 1701, 4270, 267, 891, 616, 2027, 4816, 2831, 945, 723, 7753, 930, 2462, 2591, 538, 741, 2729, 269, 3807, 899, 1480, 12325, 267, 891, 2370, 2831, 1397, 10100, 267, 8990, 267, 543, 6043, 538, 519, 3068, 540, 9465, 780, 3080, 1383, 540, 513, 2370, 5869, 3662, 568, 513, 4816, 17707, 3957, 932, 17924, 330, 269, 1879, 932, 17924, 330, 729, 1175, 513, 1906, 3275, 2025, 267, 646, 729, 1336, 4805, 543, 13676, 538, 513, 9553, 7615, 538, 25591, 269, 1763, 30501, 619, 3494, 602, 1010, 1920, 1185, 22283, 593, 513, 2244, 332, 710, 543, 10443, 2476, 267, 6028, 932, 17924, 330, 3297, 269, 6736, 1373, 10413, 543, 18901, 267, 932, 17924, 330, 15068, 543, 729, 3144, 547, 513, 7320, 25113, 1141, 646, 4607, 1416, 543, 2126, 269, 2060, 942, 267, 2648, 267, 543, 6266, 540, 9639, 267, 932, 17924, 330, 8057, 6793, 543, 8902, 269, 4653, 267, 646, 568, 513, 6126, 543, 22488, 17707, 267, 2713, 11884, 538, 513, 6870, 4104, 1858, 780, 5194, 5863, 1650, 568, 827, 513, 4816, 4262, 14854, 1572, 700, 7637, 269, 700, 7637, 11058, 3481, 593, 513, 11824, 602, 729, 4904, 609, 17885, 543, 5068, 3653, 269, 2701, 17388, 547, 1265, 1200, 1259, 547, 519, 5836, 267, 855, 3079, 3893, 8126, 1194, 909, 538, 513, 5068, 9126, 269, 24664, 1176, 267, 930, 2186, 1004, 4718, 1200, 6560, 543, 11324, 4240, 1200, 269, 1358, 6569, 519, 5068, 543, 5950, 700, 7637, 883, 519, 4262, 269, 4634, 1498, 1352, 5185, 1082, 12178, 267, 700, 7637, 7307, 547, 7669, 2484, 856, 547, 6443, 824, 4262, 16015, 538, 741, 14015, 1753, 780, 4322, 2984, 267, 2059, 609, 1866, 827, 12703, 543, 11121, 4816, 2831, 267, 666, 4001, 721, 3407, 4245, 269, 1284, 1451, 602, 1256, 519, 10545, 7068, 666, 7753, 1390, 7965, 269, 1284, 849, 1174, 519, 2956, 540, 2921, 1416, 540, 938, 1604, 865, 602, 782, 2831, 666, 2661, 9108, 543, 25747, 780, 2026, 851, 540, 713, 1576, 1770, 267, 649, 786, 1224, 811, 4241, 8941, 540, 2370, 5869, 2831, 269, 1284, 786, 1865, 875, 789, 5185, 14488, 543, 7153, 4619, 16124, 269, 1656, 267, 649, 786, 2263, 2081, 649, 666, 948, 2149, 2831, 543, 741, 9249, 269, 1635, 1565, 827, 891, 6909, 9002, 267, 649, 4126, 596, 1932, 786, 1745, 6273, 543, 12592, 547, 1831, 513, 2370, 5869, 585, 2831, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 10976, 2207, 26177, 306, 6730, 717, 2894, 2207, 3201, 22295, 22494, 454, 31304, 22310, 6673, 24165, 21815, 2464, 9215, 8863, 6579, 11403, 2894, 24202, 19739, 22593, 295, 22494, 454, 6224, 6579, 11403, 2894, 24202, 19739, 22593, 295, 22494, 10396, 661, 8025, 301, 2975, 6730, 32745, 3036, 14510, 16658, 7838, 2464, 454, 18693, 13132, 540, 1271, 2686, 267, 1514, 267, 543, 3140, 5515, 2854, 585, 11174, 543, 1762, 2937, 9458, 563, 14399, 781, 12092, 568, 1851, 519, 1034, 2442, 3029, 540, 11174, 15923, 267, 543, 1896, 1568, 538, 519, 9135, 723, 1044, 6444, 609, 2101, 1433, 17758, 267, 1851, 873, 267, 513, 6292, 540, 14062, 12493, 22808, 1765, 4350, 280, 781, 2836, 20657, 2714, 29274, 20421, 14062, 12493, 676, 16016, 686, 543, 28089, 3474, 514, 667, 262, 288, 3121, 790, 543, 21651, 6154, 539, 2006, 781, 12493, 281, 589, 7353, 11893, 2762, 630, 2735, 278, 1070, 799, 4465, 519, 476, 2735, 279, 1715, 25053, 13815, 269, 8616, 267, 5103, 519, 9135, 781, 11173, 10083, 267, 9029, 547, 1453, 267, 543, 2956, 2509, 1762, 2937, 2069, 267, 621, 3788, 513, 3810, 7463, 2361, 538, 799, 519, 7569, 540, 6111, 267, 2489, 1719, 267, 543, 6165, 616, 1419, 23503, 676, 1312, 13915, 543, 7855, 269, 3509, 1453, 781, 3332, 5640, 723, 11130, 602, 2152, 540, 23610, 6111, 543, 519, 12402, 540, 4589, 547, 834, 338, 13610, 268, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23515, 16337, 1315, 12292, 1315, 17926, 12292, 1315, 9741, 32445, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16699, 4783, 888, 3963, 8459, 568, 1634, 607, 15259, 3467, 326, 15975, 11631, 888, 6343, 786, 4755, 952, 12701, 13364, 616, 11207, 6569, 689, 17256, 15485, 454, 23737, 4831, 1699, 7271, 538, 1469, 563, 1432, 1281, 519, 4731, 874, 580, 1014, 24402, 2193, 798, 11631, 2336, 1103, 4167, 338, 1780, 741, 579, 878, 3679, 998, 519, 620, 21747, 12324, 269, 4208, 888, 10972, 8183, 540, 26669, 1258, 454, 26108, 8928, 693, 1970, 2604, 514, 829, 527, 889, 983, 1973, 1698, 650, 2456, 269, 4208, 286, 888, 1692, 1281, 642, 14505, 6439, 636, 2073, 8520, 540, 18911, 548, 543, 10655, 28954, 616, 3238, 538, 5834, 540, 519, 6882, 622, 862, 532, 689, 1350, 9593, 6160, 538, 26669, 1258, 15017, 9188, 9216, 10729, 5250, 454, 15648, 9736, 476, 1708, 273, 589, 752, 1662, 661, 706, 24728, 623, 26404, 269, 13456, 269, 2353, 2924, 11603, 563, 292, 3052, 281, 476, 7176, 278, 4792, 275, 25834, 271, 267, 476, 18733, 11277, 27174, 4281, 454, 2171, 786, 2285, 596, 513, 1289, 16172, 267, 11289, 1411, 454, 19423, 823, 3108, 281, 476, 280, 281, 876, 993, 547, 476, 280, 281, 876, 10681, 594, 4306, 630, 278, 2395, 513, 3018, 264, 0, 10955, 1243, 676, 769, 4472, 1488, 12061, 543, 18832, 966, 269, 18412, 454, 314, 307, 516, 2738, 538, 5678, 21733, 9974, 3194, 476, 278, 316, 476, 1001, 272, 454, 16123, 374, 6032, 269, 476, 7871, 1700, 7761, 454, 29753, 1101, 24716, 538, 5053, 8231, 1102, 3005, 454, 5825, 720, 543, 5872, 454, 1607, 1957, 3091, 2963, 540, 519, 2178, 6252, 1143, 1063, 3993, 543, 1126, 6165, 585, 12013, 1513, 540, 8231, 3029, 269, 5637, 3993, 543, 1126, 6165, 7866, 2370, 1102, 3005, 531, 7607, 267, 513, 3810, 7729, 14954, 3892, 540, 1102, 3005, 3029, 267, 543, 6221, 2861, 4908, 585, 1808, 1102, 3005, 531, 3029, 269, 634, 17804, 3029, 540, 513, 8231, 4096, 593, 875, 602, 8231, 568, 2048, 16347, 539, 685, 538, 14774, 4633, 269, 12624, 543, 1126, 3096, 540, 1102, 21124, 3029, 1397, 1507, 13421, 540, 13450, 6825, 676, 519, 1482, 1102, 3005, 531, 24716, 269, 901, 28928, 3919, 1281, 711, 8209, 1448, 547, 4096, 593, 7493, 13057, 3741, 610, 593, 519, 5817, 5033, 24939, 540, 13450, 269, 13298, 789, 1463, 3007, 547, 519, 31544, 3252, 543, 4852, 12519, 25481, 1141, 1880, 8231, 19899, 3005, 10659, 2049, 269, 27511, 281, 1401, 6374, 1513, 282, 32040, 1102, 3005, 24716, 282, 5053, 11601, 454, 290, 1243, 676, 476, 276, 824, 12326, 454, 1607, 1592, 568, 1759, 593, 9061, 8269, 1239, 607, 540, 476, 4029, 27362, 476, 1708, 273, 269, 7490, 4063, 602, 621, 949, 711, 581, 2347, 269, 17796, 4843, 1934, 723, 1044, 13859, 676, 519, 9757, 21101, 269, 7102, 6959, 972, 514, 1058, 581, 4080, 547, 873, 269, 0, 29261, 723, 3323, 1620, 519, 2898, 1523, 540, 1126, 1646, 543, 875, 2168, 543, 5042, 1646, 616, 5916, 1927, 547, 1118, 519, 1126, 3444, 519, 1646, 3942, 269, 3767, 267, 972, 568, 513, 3942, 13296, 519, 1126, 1131, 20549, 547, 3802, 6251, 547, 513, 7452, 16535, 1317, 621, 2306, 873, 14229, 324, 2763, 269, 901, 814, 547, 581, 7074, 543, 15874, 1317, 519, 1126, 568, 2111, 547, 1118, 513, 9266, 3095, 1063, 1079, 1114, 2621, 543, 713, 568, 513, 2629, 851, 540, 519, 5042, 1646, 3942, 269, 634, 3791, 3942, 540, 5042, 1646, 799, 6212, 593, 3206, 543, 7744, 1131, 581, 17941, 607, 513, 6405, 10512, 3942, 269, 769, 713, 2376, 267, 649, 786, 581, 7234, 519, 9238, 543, 3877, 540, 519, 6405, 10512, 3942, 563, 3519, 4740, 7358, 1049, 8609, 454, 2252, 596, 1131, 899, 547, 1451, 519, 9238, 540, 713, 3942, 267, 596, 666, 1376, 676, 6616, 6405, 1797, 2168, 1919, 543, 10512, 1131, 581, 519, 9266, 1259, 540, 519, 3206, 1184, 269, 1879, 519, 1126, 568, 2111, 547, 2322, 621, 782, 1927, 543, 2097, 909, 609, 513, 7787, 3932, 267, 789, 616, 18460, 513, 6405, 10512, 3942, 855, 1287, 972, 568, 513, 7872, 540, 7687, 950, 789, 1589, 827, 2168, 3615, 269, 898, 1131, 849, 1611, 602, 519, 1126, 1131, 581, 30230, 4771, 7493, 4555, 538, 519, 1985, 11095, 3942, 563, 2691, 6496, 898, 12769, 584, 888, 1607, 6405, 10512, 3942, 2356, 6238, 950, 519, 1126, 2501, 909, 547, 5722, 1296, 543, 786, 2063, 2394, 789, 3914, 476, 1556, 269, 898, 666, 581, 2808, 607, 513, 27139, 4567, 1063, 1079, 476, 273, 5933, 540, 1646, 602, 789, 723, 2907, 18084, 543, 519, 14232, 3803, 1646, 3942, 269, 898, 568, 849, 2009, 585, 1453, 607, 1762, 607, 476, 275, 543, 476, 277, 1373, 2111, 547, 4163, 856, 5042, 4247, 899, 713, 267, 799, 568, 1946, 596, 1058, 711, 581, 11842, 950, 707, 476, 275, 4458, 6040, 2501, 909, 609, 1945, 9266, 1256, 950, 596, 723, 711, 2219, 827, 621, 563, 2791, 1522, 1616, 547, 1451, 519, 2596, 4162, 540, 519, 6405, 10512, 3942, 269, 634, 1101, 8984, 1131, 581, 8760, 856, 540, 799, 835, 1131, 581, 4358, 1919, 883, 1114, 6688, 899, 5810, 543, 2831, 543, 824, 23658, 20975, 899, 5835, 5810, 543, 2699, 5810, 563, 763, 1985, 8984, 1131, 581, 5726, 799, 1797, 789, 1174, 602, 950, 789, 23601, 602, 10036, 6366, 610, 5066, 621, 883, 513, 3440, 267, 789, 616, 538, 519, 1482, 7274, 563, 763, 1739, 4162, 1131, 581, 22510, 1674, 267, 10941, 2225, 267, 1514, 1298, 878, 640, 267, 543, 1583, 2747, 269, 2353, 540, 891, 616, 827, 519, 1126, 1373, 2111, 547, 4137, 856, 519, 4408, 540, 2472, 267, 18570, 267, 543, 12180, 269, 1677, 713, 1808, 267, 1514, 1298, 878, 640, 568, 835, 540, 519, 4162, 602, 3237, 1131, 581, 7996, 585, 543, 602, 568, 950, 519, 1453, 1376, 1620, 602, 519, 3993, 814, 1200, 1378, 4555, 543, 4606, 269, 901, 568, 950, 789, 1174, 952, 544, 636, 3081, 602, 1352, 2115, 547, 4734, 519, 6288, 1631, 1310, 2947, 3764, 540, 519, 1294, 1606, 1177, 267, 1287, 602, 2115, 547, 581, 2944, 563, 14454, 267, 713, 568, 835, 540, 519, 2565, 5042, 1646, 540, 513, 1126, 543, 891, 3112, 581, 3514, 883, 606, 2085, 7121, 267, 799, 568, 1946, 596, 3112, 3196, 3054, 610, 519, 1126, 547, 1246, 513, 1880, 15415, 269, 901, 568, 519, 2596, 1900, 8386, 9912, 1646, 540, 519, 1126, 855, 519, 3356, 1223, 8428, 9935, 269, 0, 18958, 311, 476, 279, 11822, 9669, 547, 32754, 519, 12253, 5459, 17563, 16103, 454, 3080, 1259, 547, 2327, 602, 782, 1053, 723, 12581, 1569, 547, 1134, 1790, 10517, 1563, 267, 2500, 3610, 568, 547, 3715, 2963, 2861, 1949, 602, 5693, 24808, 519, 21941, 513, 4116, 1590, 4865, 547, 581, 3811, 538, 18997, 782, 1053, 547, 1164, 12253, 5459, 7844, 769, 4065, 269, 1452, 1949, 1131, 849, 5000, 267, 3391, 267, 543, 1489, 3610, 12253, 5459, 7844, 769, 4065, 789, 960, 547, 2087, 741, 1702, 3490, 543, 14292, 2853, 269, 1452, 2324, 2516, 3525, 749, 10305, 8984, 540, 2500, 3610, 540, 20700, 338, 543, 12013, 1513, 540, 2500, 14292, 12891, 2917, 15021, 715, 8898, 585, 20700, 338, 883, 1079, 4922, 1031, 4116, 6268, 543, 1489, 1949, 7308, 12253, 5459, 17563, 585, 9752, 543, 519, 3057, 345, 8457, 10312, 539, 11819, 16214, 7844, 563, 19350, 616, 930, 2656, 4388, 602, 666, 581, 8045, 547, 2327, 602, 3232, 2259, 20383, 609, 1346, 11890, 269, 23792, 476, 272, 281, 12020, 543, 19369, 910, 10159, 340, 919, 875, 3610, 10891, 519, 1543, 602, 1053, 616, 8355, 329, 15625, 547, 1451, 563, 2005, 3340, 3610, 547, 2226, 4295, 1983, 543, 519, 2556, 1702, 547, 948, 1053, 8011, 2429, 741, 4081, 11678, 269, 0, 268, 18917, 5240, 2622, 454, 2026, 538, 476, 2735, 276, 543, 476, 1001, 278, 267, 513, 2178, 13091, 13351, 6792, 593, 5181, 476, 866, 267, 11318, 693, 2547, 835, 1268, 563, 763, 9588, 540, 11728, 779, 13091, 729, 476, 278, 269, 278, 267, 2687, 547, 519, 11204, 1530, 1143, 1670, 6796, 269, 634, 12473, 10938, 729, 476, 6795, 12919, 5045, 540, 15021, 1260, 17505, 538, 519, 1533, 540, 5760, 334, 659, 17505, 543, 693, 513, 3178, 540, 476, 1015, 5998, 563, 763, 13091, 729, 9244, 5433, 538, 6792, 4975, 543, 693, 2547, 476, 1556, 824, 2127, 538, 519, 2197, 779, 4571, 8054, 563, 763, 5518, 267, 1656, 337, 15530, 2494, 3241, 700, 6759, 19649, 5136, 30786, 267, 4080, 513, 21549, 538, 519, 2146, 540, 2494, 345, 534, 650, 7765, 2051, 9874, 1533, 267, 1310, 519, 2887, 540, 513, 6300, 20545, 563, 5475, 519, 13091, 267, 519, 2136, 2276, 570, 15711, 9564, 16424, 4741, 19230, 540, 513, 2009, 23329, 593, 519, 7414, 5032, 540, 6792, 24392, 519, 15372, 729, 2663, 632, 716, 17300, 563, 763, 2817, 32534, 2160, 540, 6792, 630, 308, 2793, 300, 264, 4080, 513, 968, 22855, 1377, 4473, 892, 6592, 538, 2494, 345, 534, 21034, 609, 513, 5021, 6592, 17931, 540, 476, 14862, 17744, 563, 4913, 267, 519, 6406, 16470, 540, 519, 3557, 540, 2051, 9874, 12199, 856, 519, 23329, 10332, 585, 519, 11769, 779, 5032, 338, 968, 24392, 15088, 538, 519, 6329, 616, 4397, 2223, 646, 3370, 593, 1010, 12108, 2272, 267, 6998, 547, 2057, 16042, 519, 17822, 563, 1607, 11728, 779, 13091, 729, 8308, 6592, 593, 519, 16683, 540, 1312, 2462, 32495, 1389, 602, 723, 5734, 519, 2197, 16200, 538, 476, 2735, 276, 543, 476, 1001, 278, 3847, 7366, 4666, 563, 763, 14077, 540, 519, 476, 2918, 9601, 630, 10175, 476, 866, 1453, 264, 945, 5747, 2947, 1296, 3516, 693, 519, 681, 2946, 2125, 29546, 1153, 538, 519, 11204, 3854, 2965, 4767, 513, 8792, 779, 16563, 585, 519, 13357, 950, 789, 941, 14281, 676, 713, 1007, 12152, 528, 563, 9827, 547, 1665, 519, 16683, 543, 1447, 982, 606, 5662, 1354, 11728, 779, 844, 820, 267, 6792, 5342, 519, 3084, 13091, 16590, 547, 5965, 519, 2551, 563, 11445, 1746, 585, 18187, 553, 454, 16248, 3108, 1310, 519, 13091, 693, 476, 272, 281, 4962, 533, 6230, 269, 630, 300, 1410, 4815, 4975, 942, 1070, 519, 11204, 17688, 1670, 3028, 1185, 10805, 476, 24241, 1726, 3387, 1782, 1310, 3333, 4169, 563, 763, 4102, 1185, 513, 9588, 540, 476, 276, 269, 274, 609, 606, 12473, 10938, 5045, 540, 1855, 1260, 17505, 538, 2051, 9874, 267, 513, 15231, 1533, 540, 5760, 334, 659, 17505, 269, 5637, 4559, 6592, 3441, 547, 5656, 543, 5989, 563, 1103, 2494, 345, 534, 21034, 267, 2051, 9874, 267, 519, 8122, 540, 513, 15547, 693, 513, 32041, 25540, 267, 972, 941, 26949, 1938, 593, 519, 19814, 547, 519, 1533, 3854, 267, 543, 18015, 941, 4080, 693, 20098, 18858, 329, 525, 12456, 563, 1103, 13985, 10042, 267, 5760, 334, 659, 17505, 267, 519, 3057, 340, 1092, 11233, 4718, 851, 540, 922, 3774, 12900, 1310, 7092, 3978, 18655, 563, 1103, 6792, 4975, 267, 7264, 945, 3576, 547, 519, 10754, 1310, 519, 13091, 10332, 4718, 519, 844, 820, 3001, 6808, 8279, 267, 6300, 8279, 543, 6808, 4191, 563, 4913, 267, 519, 2212, 540, 2229, 538, 519, 3854, 267, 19863, 807, 2701, 514, 29231, 267, 12038, 909, 968, 19009, 3666, 892, 543, 11329, 856, 602, 972, 568, 1100, 3978, 3441, 538, 519, 2749, 563, 14071, 786, 1376, 11018, 1344, 269, 1284, 25442, 569, 4126, 602, 4986, 3978, 814, 5949, 2223, 5518, 700, 6759, 19649, 5136, 30786, 17408, 9643, 1354, 3045, 23395, 519, 2669, 540, 513, 812, 538, 2494, 345, 534, 21034, 563, 763, 8549, 24542, 8189, 630, 20003, 292, 264, 1767, 476, 272, 269, 273, 2929, 3755, 2066, 519, 2197, 11124, 1379, 856, 1137, 269, 12866, 3108, 1310, 519, 13091, 267, 519, 8116, 9307, 602, 621, 1185, 2907, 17468, 1416, 547, 476, 4817, 260, 540, 519, 1004, 4299, 563, 300, 1410, 4815, 695, 809, 1586, 593, 5181, 476, 866, 454, 7437, 4460, 30781, 1446, 345, 667, 27927, 289, 6195, 5330, 550, 3377, 1158, 538, 30067, 4815, 454, 288, 1906, 3764, 1185, 5293, 2094, 519, 1439, 540, 519, 3084, 3635, 267, 16516, 585, 476, 1321, 281, 866, 533, 6230, 269, 593, 5181, 476, 866, 267, 950, 519, 13091, 15372, 32131, 1586, 538, 6792, 4975, 543, 824, 4025, 538, 519, 2197, 563, 11514, 10964, 3971, 543, 10539, 941, 519, 8789, 18565, 269, 968, 3719, 568, 621, 3020, 286, 2107, 568, 621, 513, 10956, 2223, 1082, 9289, 269, 634, 681, 5448, 8664, 540, 519, 3854, 267, 835, 540, 519, 2127, 1141, 16767, 616, 1034, 5433, 267, 5433, 519, 3350, 8185, 563, 763, 1004, 779, 1101, 12705, 729, 602, 519, 13091, 729, 1279, 267, 1256, 3476, 982, 3105, 1804, 16767, 267, 789, 1767, 563, 14737, 2373, 2663, 543, 609, 6808, 11074, 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 ]
[ 269, 31762, 3821, 738, 781, 10339, 5151, 585, 519, 986, 1111, 540, 519, 1199, 25901, 519, 617, 648, 524, 518, 3821, 738, 814, 1044, 7206, 693, 519, 3040, 524, 1579, 618, 267, 12908, 3821, 738, 267, 1696, 8775, 1979, 1748, 1664, 1696, 16472, 476, 274, 6113, 1196, 269, 634, 986, 1111, 540, 519, 1199, 25901, 1818, 513, 4670, 1759, 593, 519, 617, 648, 12908, 3821, 738, 781, 519, 986, 1111, 540, 519, 1199, 25901, 676, 795, 1301, 534, 781, 6612, 585, 7206, 543, 7990, 607, 1134, 607, 269, 8776, 572, 546, 685, 327, 558, 1889, 632, 1527, 559, 267, 682, 1490, 553, 5323, 527, 26550, 2946, 960, 540, 555, 2946, 617, 648, 12908, 3821, 738, 713, 7206, 786, 581, 3769, 538, 519, 519, 986, 1111, 540, 519, 1199, 25901, 269, 19672, 540, 519, 986, 1111, 540, 519, 1199, 25901, 267, 519, 617, 648, 12908, 3821, 738, 3877, 540, 519, 986, 1111, 540, 519, 1199, 25901, 267, 519, 617, 648, 12908, 3821, 738, 269, 774, 2946, 617, 648, 575, 2946, 878, 5435, 781, 7206, 267, 1412, 1492, 986, 1111, 540, 519, 1199, 25901, 10086, 4547, 1648, 547, 18008, 1148, 267, 12316, 11509, 1143, 1412, 1492, 986, 1111, 540, 519, 1199, 25901, 262, 4547, 1648, 547, 563, 763, 986, 1111, 540, 519, 1199, 25901, 519, 617, 648, 3775, 8657, 10367, 1131, 596, 899, 547, 15597, 2671, 707, 6644, 540, 713, 7206, 581, 519, 1101, 547, 16472, 713, 7206, 269, 31187, 12908, 3821, 738, 910, 476, 18863, 8775, 546, 262, 684, 3288, 13125, 1609, 556, 9809, 826, 886, 545, 850, 618, 1612, 3288, 16472, 26982, 905, 842, 561, 262, 514, 1260, 1440, 2946, 2380, 542, 2433, 519, 986, 1111, 540, 519, 16938, 1199, 25901, 269, 634, 986, 1111, 540, 519, 1199, 25901, 910, 519, 617, 648, 12908, 3821, 738, 476, 8687, 279, 267, 1686, 7206, 1315, 11509, 1143, 796, 3349, 879, 15224, 1446, 12908, 3821, 738, 1089, 320, 773, 632, 5538, 591, 796, 4090, 5559, 520, 1664, 267, 24924, 1654, 583, 269, 31187, 12908, 3821, 738, 281, 986, 1111, 540, 519, 1199, 25901, 12908, 3821, 738, 281, 986, 1111, 540, 519, 1199, 25901, 910, 322, 761, 923, 723, 1572, 519, 5888, 540, 519, 7206, 910, 322, 761, 1664, 540, 10424, 1920, 543, 979, 5984, 563, 763, 6679, 540, 519, 9885, 540, 519, 23882, 22679, 9974, 1449, 5809, 519, 7206, 729, 4440, 31061, 519, 2511, 540, 519, 986, 1111, 540, 519, 1199, 25901, 12908, 3821, 738, 781, 16765, 569, 269, 634, 986, 1111, 540, 519, 1199, 25901, 630, 325, 3402, 281, 682, 986, 1372, 879, 632, 3288, 544, 2946, 706, 572, 3738, 568, 606, 3282, 7206, 540, 476, 8687, 279, 1700, 8687, 280, 676, 519, 18008, 11509, 18048, 543, 12776, 19212, 555, 2946, 617, 648, 575, 2946, 878, 5435, 630, 9692, 272, 269, 681, 10762, 540, 519, 1199, 25901, 519, 617, 648, 12908, 3821, 738, 267, 2761, 540, 519, 1199, 25901, 267, 476, 8687, 279, 268, 8687, 280, 1496, 11798, 593, 17198, 316, 5392, 272, 343, 278, 1626, 9492, 519, 986, 1111, 540, 519, 1199, 25901, 729, 2813, 676, 519, 617, 648, 12908, 3821, 738, 538, 6185, 5877, 454, 1001, 279, 269, 4065, 6538, 269, 0, 305, 25114, 333, 1389, 1496, 329, 18367, 798, 29560, 316, 593, 32312, 1260, 8941, 540, 4503, 15183, 543, 12617, 16782, 540, 519, 22236, 630, 321, 1046, 518, 751, 343, 553, 1686, 4099, 3126, 264, 1957, 3724, 563, 20124, 2707, 281, 3084, 13664, 8666, 19922, 23031, 281, 536, 919, 2370, 327, 2297, 678, 25114, 333, 1389, 678, 25114, 333, 1389, 616, 1655, 1634, 585, 267, 543, 1034, 3362, 6444, 563, 32051, 281, 3594, 1382, 4574, 2140, 281, 519, 678, 3430, 2401, 1557, 678, 25114, 333, 1389, 540, 519, 22236, 678, 25114, 333, 1389, 616, 1360, 1455, 538, 5087, 13314, 789, 5631, 2039, 269, 5131, 1557, 281, 5339, 2474, 547, 917, 5339, 2165, 1923, 1913, 602, 1611, 519, 1482, 610, 666, 581, 1031, 538, 1557, 827, 678, 25114, 333, 1389, 540, 519, 22236, 563, 763, 1533, 540, 751, 343, 553, 568, 1753, 547, 476, 1428, 5732, 5906, 13131, 2249, 610, 28849, 5103, 713, 267, 1142, 1032, 267, 972, 723, 1044, 811, 7972, 538, 751, 343, 553, 11911, 269, 2368, 4779, 329, 1511, 678, 25114, 333, 820, 5095, 538, 3844, 543, 7013, 513, 13252, 723, 1312, 29086, 2010, 267, 6721, 606, 5393, 14984, 3575, 540, 8280, 25570, 543, 5778, 1729, 13877, 563, 6635, 2583, 543, 678, 25114, 333, 1389, 267, 1557, 676, 13171, 9372, 3444, 523, 729, 513, 5577, 328, 678, 25114, 333, 820, 267, 711, 6805, 547, 713, 1858, 267, 543, 25864, 2938, 3544, 540, 1010, 5065, 513, 13252, 269, 0, 9213, 779, 12558, 568, 827, 8106, 1974, 2575, 267, 543, 2094, 972, 779, 865, 1454, 547, 2911, 827, 267, 1775, 4076, 4956, 547, 8237, 713, 883, 1079, 7044, 25473, 713, 1641, 1775, 269, 634, 3046, 20529, 5736, 540, 7262, 8106, 2575, 568, 2356, 3989, 607, 519, 1974, 689, 476, 8182, 271, 547, 476, 11260, 271, 630, 28205, 7389, 616, 267, 540, 1576, 267, 11315, 519, 25174, 23929, 540, 9299, 564, 528, 3780, 941, 2854, 538, 476, 14065, 273, 264, 1079, 30031, 21274, 602, 13148, 5581, 519, 3046, 20529, 941, 606, 2799, 1719, 538, 519, 21088, 5639, 543, 513, 4473, 538, 519, 4567, 540, 7405, 543, 1547, 18190, 2575, 5712, 899, 824, 1480, 18697, 519, 5137, 540, 2575, 814, 7960, 936, 942, 2575, 1686, 5640, 1413, 1394, 936, 942, 267, 543, 3801, 547, 2736, 602, 4720, 909, 883, 5933, 267, 538, 519, 1482, 1259, 12779, 2632, 5505, 543, 12206, 19665, 824, 2010, 540, 1689, 563, 763, 7574, 6429, 538, 519, 8106, 1974, 10630, 519, 2242, 9648, 538, 519, 2486, 538, 799, 519, 2575, 729, 1373, 2854, 713, 729, 519, 1101, 5736, 538, 2575, 1686, 538, 799, 1857, 30145, 2968, 606, 1271, 851, 540, 519, 7574, 6429, 269, 4279, 1686, 267, 855, 519, 1655, 1433, 1775, 723, 2479, 1224, 593, 875, 547, 6432, 547, 8106, 2575, 3217, 513, 1114, 1935, 30602, 9292, 21032, 779, 581, 29348, 610, 11861, 568, 513, 1590, 1224, 267, 1317, 621, 11414, 596, 875, 547, 6432, 547, 2575, 538, 513, 11295, 543, 5483, 1259, 267, 543, 4422, 1259, 3564, 519, 3140, 3344, 540, 513, 960, 547, 1413, 693, 2497, 543, 875, 621, 1568, 607, 513, 1547, 18190, 2575, 568, 1148, 2575, 3812, 610, 12082, 538, 519, 5389, 540, 7262, 2528, 267, 1519, 1312, 1396, 17790, 630, 516, 31437, 264, 543, 16712, 2575, 1247, 513, 811, 5730, 2165, 568, 849, 1031, 547, 3277, 547, 519, 1974, 689, 476, 11260, 271, 547, 476, 9264, 271, 630, 1492, 8106, 1974, 1070, 713, 2376, 568, 827, 519, 3376, 12732, 540, 942, 689, 1354, 519, 476, 277, 628, 2540, 740, 547, 519, 1459, 1554, 267, 799, 2882, 519, 8106, 1974, 543, 1585, 824, 4586, 763, 2575, 540, 519, 8106, 1974, 267, 799, 21269, 689, 476, 11260, 271, 547, 476, 9264, 271, 267, 568, 6353, 676, 12863, 23964, 543, 3029, 971, 607, 519, 5067, 21648, 519, 14440, 729, 17216, 519, 3119, 6293, 1031, 676, 25803, 1282, 713, 1974, 1934, 781, 513, 15415, 540, 1271, 2621, 538, 2575, 1686, 799, 5949, 1282, 1547, 634, 8106, 5736, 21269, 10199, 476, 3199, 1296, 538, 2575, 1686, 1282, 519, 476, 1240, 628, 543, 476, 866, 628, 5553, 543, 568, 1419, 2404, 609, 519, 3350, 1572, 519, 2085, 540, 2601, 621, 568, 3989, 676, 513, 2132, 547, 15340, 543, 16134, 711, 1152, 538, 2575, 267, 855, 849, 538, 6189, 543, 5386, 1148, 269, 3399, 4974, 519, 3670, 21971, 540, 2575, 1686, 1451, 6863, 267, 2474, 267, 543, 811, 609, 15460, 267, 3756, 267, 543, 824, 1353, 2645, 5206, 1282, 519, 8106, 5736, 269, 634, 4720, 540, 8106, 2575, 281, 606, 7650, 649, 1289, 519, 8106, 1974, 540, 2575, 1686, 968, 5035, 673, 892, 1317, 540, 519, 1804, 3310, 602, 8106, 17858, 543, 575, 872, 576, 1185, 593, 519, 6163, 540, 4586, 24523, 13315, 2528, 267, 1148, 267, 7553, 267, 543, 16809, 607, 2486, 27372, 267, 865, 1281, 519, 2511, 543, 3280, 540, 519, 2575, 267, 543, 1018, 19674, 568, 513, 3309, 13795, 602, 4564, 519, 942, 1974, 538, 799, 519, 2575, 729, 2813, 607, 1134, 607, 519, 1004, 945, 2813, 621, 269, 3778, 540, 8106, 2575, 10120, 630, 322, 12893, 271, 910, 524, 9610, 271, 264, 713, 568, 519, 1101, 1974, 1141, 649, 666, 2253, 547, 581, 9425, 1978, 607, 547, 875, 513, 1390, 4308, 540, 519, 2575, 799, 814, 15068, 2965, 32131, 269, 634, 8106, 1974, 540, 2575, 5916, 10103, 267, 23260, 267, 11733, 267, 543, 32427, 566, 811, 3927, 982, 4505, 5712, 540, 2575, 609, 519, 2067, 4720, 540, 2575, 7444, 4657, 609, 519, 2528, 267, 519, 3046, 20529, 5736, 1185, 8694, 563, 310, 3480, 2575, 910, 519, 512, 4689, 5736, 543, 1310, 281, 476, 8182, 271, 547, 519, 1459, 281, 519, 4098, 540, 519, 476, 1704, 628, 2540, 729, 835, 540, 519, 1034, 10565, 7432, 2798, 538, 519, 1686, 540, 2575, 267, 1256, 811, 865, 982, 519, 4098, 540, 519, 818, 338, 562, 13960, 543, 3592, 607, 12316, 607, 519, 4098, 540, 519, 476, 736, 628, 2540, 269, 634, 8106, 1974, 281, 2575, 1686, 267, 25803, 543, 4773, 519, 8106, 1974, 538, 2575, 729, 689, 476, 11260, 271, 268, 9264, 271, 267, 543, 568, 519, 5736, 602, 1004, 4043, 547, 581, 519, 1034, 5432, 609, 269, 19415, 2661, 547, 5929, 535, 332, 2228, 5925, 3605, 8106, 2575, 543, 1265, 856, 811, 827, 519, 1655, 8106, 25803, 267, 12372, 543, 741, 1568, 563, 763, 8106, 1974, 729, 606, 5736, 540, 8106, 2575, 1063, 10199, 476, 15876, 271, 547, 476, 9264, 271, 519, 8106, 1974, 8813, 1063, 519, 3046, 20529, 543, 519, 11509, 5712, 8106, 2575, 814, 513, 14402, 267, 20501, 9403, 982, 3046, 20529, 2575, 543, 568, 1447, 1950, 269, 3399, 4974, 2575, 1686, 281, 8106, 1974, 1451, 6863, 267, 2474, 267, 543, 811, 609, 15460, 267, 3756, 267, 543, 824, 1353, 2645, 269, 634, 4670, 1568, 1134, 538, 513, 2575, 1686, 1770, 543, 621, 2934, 1148, 1568, 689, 519, 1585, 5712, 849, 8106, 1974, 910, 851, 476, 272, 910, 2575, 7071, 910, 8653, 281, 476, 7906, 281, 1789, 669, 5142, 530, 2431, 476, 866, 267, 277, 2918, 5784, 563, 1320, 1492, 1034, 9565, 1689, 538, 519, 1686, 540, 2575, 7082, 1143, 538, 519, 476, 1240, 2540, 729, 2575, 538, 519, 8106, 1974, 1107, 476, 11260, 271, 268, 9264, 276, 1974, 543, 2073, 519, 1547, 634, 7389, 540, 519, 8106, 1974, 538, 7262, 2575, 616, 3622, 7608, 607, 1373, 1063, 827, 476, 15876, 271, 543, 476, 9264, 271, 2705, 267, 519, 2165, 8106, 2575, 568, 1031, 538, 513, 30351, 658, 2631, 547, 4766, 513, 3099, 540, 7262, 7574, 6163, 689, 519, 27630, 2540, 547, 519, 1459, 267, 543, 2523, 689, 519, 31303, 610, 27867, 547, 519, 13524, 269, 1809, 519, 8106, 5736, 538, 519, 1686, 540, 2575, 4481, 4016, 547, 519, 1974, 950, 25803, 971, 607, 18720, 323, 333, 267, 4779, 345, 691, 543, 581, 29348, 941, 3742, 267, 22299, 532, 519, 1547, 0, 12901, 529, 3469, 7209, 4524, 568, 513, 4524, 602, 568, 6353, 676, 513, 1279, 29280, 4806, 540, 23304, 731, 585, 824, 1004, 779, 2924, 267, 1419, 15385, 519, 1899, 543, 3423, 908, 1346, 2924, 513, 269, 4165, 529, 3469, 7209, 4524, 568, 6353, 676, 513, 3668, 540, 6568, 543, 2042, 609, 6392, 1451, 811, 827, 519, 2589, 267, 3123, 267, 543, 5574, 11976, 616, 2219, 547, 1404, 513, 269, 634, 6662, 540, 713, 1353, 729, 547, 2708, 519, 1279, 3856, 6364, 540, 24431, 3469, 7209, 4524, 630, 777, 323, 264, 3379, 609, 4965, 267, 18624, 267, 543, 4907, 328, 268, 1608, 2175, 269, 22226, 4713, 616, 2790, 1072, 2175, 602, 1860, 875, 2576, 14659, 267, 6544, 1161, 267, 7959, 610, 12211, 547, 1866, 24431, 3469, 7209, 4524, 568, 513, 3226, 4101, 1826, 563, 277, 4583, 1004, 609, 29954, 323, 24431, 3469, 7209, 4524, 630, 5684, 323, 264, 568, 27537, 676, 519, 1259, 513, 1268, 14659, 543, 6544, 1161, 3871, 602, 616, 1454, 1114, 689, 3339, 1004, 1004, 945, 269, 667, 8243, 268, 643, 543, 546, 8243, 268, 276, 7355, 585, 519, 7209, 4713, 2489, 7355, 585, 513, 7209, 4524, 2489, 7355, 585, 513, 7209, 4524, 546, 8243, 268, 643, 546, 8243, 268, 276, 7355, 910, 15428, 795, 2317, 476, 1001, 272, 269, 11137, 540, 7194, 585, 7209, 4713, 7209, 4713, 2099, 968, 534, 11972, 4806, 540, 6418, 1995, 543, 2623, 602, 1821, 28179, 6825, 569, 689, 519, 6788, 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 ]
[ 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 8080, 547, 519, 4241, 1158, 540, 1357, 1374, 256, 4653, 267, 649, 2811, 2469, 547, 2263, 835, 1880, 1826, 540, 3896, 1572, 606, 834, 324, 19645, 257, 3135, 269, 1411, 1522, 2907, 581, 5432, 609, 930, 2442, 3283, 899, 8835, 267, 552, 29074, 267, 610, 1256, 8637, 585, 3381, 3756, 610, 9162, 269, 1809, 1018, 4010, 2306, 891, 4609, 1114, 689, 1866, 286, 1656, 875, 666, 649, 1711, 938, 1378, 286, 2913, 781, 4685, 1318, 538, 2439, 5331, 2348, 513, 21097, 1796, 267, 855, 3079, 540, 1175, 9513, 621, 547, 12543, 945, 1780, 676, 267, 1004, 689, 782, 936, 4884, 1765, 16838, 824, 10034, 610, 2477, 1765, 4754, 2097, 543, 4444, 707, 8949, 4235, 256, 2334, 781, 2186, 540, 875, 552, 19645, 7270, 960, 269, 1358, 1450, 4213, 547, 6133, 741, 2472, 2228, 865, 4896, 609, 4950, 1569, 666, 6718, 873, 3362, 269, 9462, 505, 491, 20804, 6930, 496, 364, 692, 3086, 1577, 781, 1589, 827, 8888, 971, 513, 3135, 269, 1703, 616, 1614, 1883, 2934, 602, 1118, 606, 5140, 552, 19645, 3896, 1384, 272, 269, 2878, 27165, 7888, 12445, 5093, 3807, 899, 4466, 707, 1259, 1472, 513, 32041, 267, 3755, 991, 547, 1847, 12347, 1063, 6810, 269, 9093, 639, 948, 721, 3533, 7914, 547, 1585, 6688, 267, 1818, 10918, 2653, 543, 1187, 2439, 273, 269, 2878, 28733, 1587, 6881, 5093, 8058, 322, 2084, 3688, 609, 1434, 2592, 543, 11673, 13071, 5561, 917, 4010, 1018, 789, 3513, 1205, 269, 5994, 3843, 547, 3442, 513, 11442, 1510, 7487, 922, 4605, 282, 9157, 267, 26001, 2496, 274, 269, 2878, 20376, 675, 8569, 1062, 5093, 23496, 2922, 8852, 8952, 1312, 18046, 543, 23965, 6126, 269, 6056, 827, 875, 596, 9364, 1745, 952, 2576, 3576, 707, 2724, 855, 4769, 1405, 2285, 596, 519, 11442, 1107, 9090, 711, 3579, 2439, 2414, 9414, 713, 1732, 267, 1577, 803, 2995, 596, 513, 1650, 827, 1079, 2828, 3957, 23183, 543, 5981, 945, 4941, 547, 1376, 741, 1378, 2228, 4558, 9513, 29586, 13492, 269, 3689, 267, 789, 2813, 3593, 7888, 27487, 12270, 741, 3688, 883, 6688, 899, 14446, 267, 10367, 267, 543, 17960, 269, 3973, 267, 789, 3773, 2312, 6337, 543, 3061, 687, 10503, 1142, 4062, 267, 2059, 609, 5777, 543, 11288, 9623, 269, 7053, 267, 789, 1500, 2386, 547, 946, 513, 6325, 8569, 16267, 547, 1832, 3025, 781, 1239, 2922, 1282, 8852, 269, 9462, 504, 478, 6930, 495, 491, 692, 4517, 972, 596, 723, 621, 910, 606, 4367, 547, 552, 19645, 3896, 1374, 256, 1635, 9256, 2241, 2943, 2500, 29282, 267, 10694, 23877, 267, 543, 5150, 2638, 719, 3157, 267, 649, 1932, 666, 1628, 5863, 2228, 15945, 1141, 1004, 2282, 543, 2484, 666, 3605, 267, 2671, 267, 543, 2972, 938, 13144, 269, 1924, 979, 6619, 267, 25793, 1662, 707, 5876, 267, 543, 1376, 2679, 707, 5326, 5691, 4558, 12506, 2221, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 20442, 2125, 924, 4886, 1299, 5071, 454, 2171, 2709, 19534, 5071, 7896, 547, 1507, 543, 5420, 4213, 538, 4000, 543, 2066, 519, 1158, 563, 2171, 723, 7218, 538, 2475, 267, 5177, 267, 15057, 267, 24063, 267, 25157, 267, 32678, 267, 3162, 4000, 267, 13280, 267, 543, 5245, 454, 2171, 1374, 543, 1020, 661, 5586, 656, 543, 6198, 7270, 602, 2709, 596, 1871, 543, 6460, 1357, 8436, 883, 7218, 269, 1284, 786, 2709, 596, 2901, 513, 9043, 2861, 3896, 610, 552, 19645, 3896, 630, 26020, 6300, 264, 6272, 563, 2171, 20647, 1164, 2688, 7270, 269, 1452, 616, 7270, 602, 723, 1044, 2919, 689, 15072, 543, 616, 3810, 16419, 585, 707, 1870, 454, 5978, 7270, 616, 849, 9612, 5422, 19630, 1242, 267, 20979, 585, 3728, 11250, 543, 5150, 563, 2171, 723, 606, 15813, 1489, 2319, 602, 786, 2327, 602, 707, 3896, 568, 909, 543, 4881, 543, 849, 1134, 8242, 563, 2171, 2125, 924, 5071, 12697, 454, 288, 3896, 27992, 519, 1870, 3877, 543, 2472, 269, 901, 3896, 2488, 9746, 1344, 585, 1857, 13156, 8754, 2870, 1857, 6015, 543, 606, 3355, 1448, 540, 3346, 585, 707, 5561, 543, 16548, 269, 898, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 292, 19645, 19534, 5071, 257, 607, 851, 540, 834, 28035, 1315, 5769, 1315, 5680, 5071, 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, 7170, 281, 7201, 4248, 16709, 543, 4706, 8177, 593, 4132, 4886, 281, 589, 10312, 593, 21816, 17621, 1143, 543, 7991, 22580, 692, 7072, 1384, 15152, 4248, 3408, 814, 1279, 1044, 513, 2707, 540, 22906, 585, 1004, 540, 782, 6502, 267, 3226, 585, 1762, 6267, 945, 616, 12423, 519, 13300, 540, 519, 2067, 1158, 1472, 873, 269, 901, 1770, 786, 5490, 883, 519, 2257, 3297, 14015, 3408, 1247, 849, 10223, 519, 2956, 540, 15321, 1143, 543, 2146, 6278, 998, 513, 2013, 1353, 5473, 21816, 32580, 540, 3013, 8566, 805, 518, 1715, 3840, 781, 6465, 523, 6816, 7216, 4804, 4741, 269, 1635, 3695, 713, 1888, 267, 1053, 786, 2744, 513, 4514, 7071, 585, 7286, 1272, 543, 2825, 19642, 267, 607, 1134, 607, 519, 1909, 602, 13538, 666, 1404, 538, 7393, 3872, 3255, 585, 27797, 2950, 780, 4089, 594, 281, 4985, 547, 7201, 4248, 16709, 692, 288, 269, 3778, 540, 7201, 4248, 16709, 454, 289, 269, 9537, 540, 7201, 4248, 16709, 454, 290, 269, 13088, 543, 9828, 13242, 538, 7201, 4248, 16709, 454, 291, 269, 11957, 540, 7201, 4248, 16709, 454, 292, 269, 7351, 12367, 538, 7201, 4248, 16709, 692, 4089, 4083, 281, 8865, 5530, 281, 15281, 698, 4673, 645, 2714, 1782, 781, 26844, 609, 21816, 32580, 540, 3013, 8566, 805, 518, 1715, 3840, 692, 288, 269, 11137, 540, 21816, 32580, 540, 3013, 8566, 805, 518, 1715, 3840, 781, 17030, 543, 7896, 454, 289, 269, 13517, 540, 15281, 698, 4673, 645, 2714, 1782, 781, 6182, 1218, 543, 4256, 8177, 454, 290, 269, 19043, 540, 519, 5455, 326, 24612, 1261, 908, 543, 5794, 16448, 7010, 693, 519, 6465, 523, 6816, 7216, 4804, 4741, 454, 291, 269, 17583, 9737, 7201, 4248, 16709, 543, 12409, 19662, 585, 5753, 609, 25833, 5548, 904, 454, 292, 269, 11588, 540, 21816, 17621, 1143, 543, 7991, 22580, 692, 4089, 8633, 281, 1215, 4841, 2052, 5192, 12833, 9407, 538, 7201, 4248, 16709, 543, 7025, 19731, 13734, 692, 288, 269, 18467, 547, 6258, 6168, 13149, 5020, 543, 7201, 4248, 16709, 454, 289, 269, 19662, 547, 12160, 622, 538, 16047, 11162, 5725, 543, 4033, 7025, 9024, 328, 2510, 454, 290, 269, 8249, 585, 18786, 513, 3427, 11833, 610, 6828, 667, 539, 5344, 547, 7025, 11094, 454, 291, 269, 19396, 11202, 1811, 538, 7201, 4248, 16709, 543, 7025, 4065, 692, 6962, 1384, 9961, 713, 1770, 267, 1053, 723, 8268, 519, 4241, 1158, 540, 14015, 3408, 543, 922, 1764, 593, 1126, 1646, 269, 1358, 723, 4121, 827, 519, 1686, 267, 2010, 267, 2645, 267, 2553, 267, 543, 4644, 540, 14015, 3408, 267, 607, 1134, 607, 1699, 3466, 538, 519, 2361, 269, 3958, 267, 789, 723, 8947, 513, 1808, 1383, 540, 875, 2146, 6278, 543, 24749, 666, 1118, 513, 3017, 538, 519, 2729, 540, 27797, 1453, 676, 5355, 741, 1565, 5054, 269, 7053, 267, 1053, 723, 6591, 1702, 827, 2081, 547, 1205, 3238, 538, 14015, 3408, 543, 2825, 5726, 2933, 267, 1519, 1761, 4876, 11444, 269, 3414, 891, 2833, 267, 1053, 786, 10836, 811, 5483, 2518, 4961, 609, 513, 3152, 7071, 585, 7286, 1272, 267, 14015, 3408, 267, 543, 519, 1379, 540, 15321, 1143, 543, 2146, 6278, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 309, 29151, 8566, 29369, 25547, 1161, 2637, 2730, 16827, 689, 15281, 698, 4673, 645, 2714, 1782, 547, 8081, 5358, 585, 5753, 609, 25833, 5548, 904, 593, 6465, 523, 6816, 454, 6124, 3840, 267, 12924, 630, 21938, 476, 1015, 267, 476, 1001, 277, 264, 1107, 21816, 32580, 540, 3013, 814, 2319, 539, 1586, 609, 15281, 698, 4673, 645, 2714, 1782, 267, 519, 4102, 4357, 2000, 8475, 4420, 1194, 1216, 18261, 538, 519, 2136, 2276, 267, 547, 3986, 519, 2729, 540, 27797, 1453, 543, 6107, 269, 634, 2078, 3459, 538, 476, 1001, 276, 609, 1269, 4968, 267, 1822, 538, 14828, 267, 543, 5170, 538, 476, 1001, 277, 609, 15281, 698, 4673, 3246, 513, 1269, 1911, 267, 1822, 9886, 547, 21816, 32580, 540, 3013, 8566, 805, 518, 1715, 3840, 781, 6465, 523, 6816, 7216, 4804, 4741, 563, 20442, 616, 14831, 3585, 18507, 547, 15281, 698, 4673, 585, 922, 7029, 547, 938, 5692, 540, 7674, 938, 2146, 781, 1034, 7925, 2437, 1767, 21816, 32580, 540, 3013, 8566, 805, 518, 1715, 3840, 5518, 543, 16628, 570, 699, 8891, 339, 8636, 269, 834, 4415, 15281, 698, 4673, 781, 1489, 267, 649, 941, 2111, 547, 22010, 938, 8022, 543, 2011, 2783, 1949, 547, 2327, 519, 19421, 540, 1453, 649, 4196, 1107, 3670, 2395, 513, 3018, 267, 476, 1556, 3275, 513, 1032, 1107, 786, 581, 1565, 543, 14762, 538, 519, 6099, 1604, 4799, 14157, 2863, 32580, 540, 3013, 8566, 337, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23515, 13493, 1315, 3163, 1299, 7186, 1315, 13028, 625, 1315, 7201, 4248, 16709, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1223, 581, 269, 2368, 1004, 1767, 621, 1058, 581, 835, 2790, 28357, 269, 1809, 875, 1223, 1521, 519, 15508, 2192, 865, 3983, 888, 306, 3019, 938, 15292, 8694, 543, 649, 1265, 6000, 538, 519, 1482, 1747, 910, 519, 5834, 3786, 540, 26401, 269, 901, 729, 519, 10782, 1554, 540, 1250, 1272, 269, 634, 2295, 5995, 540, 711, 6616, 1018, 1131, 4755, 547, 1250, 1920, 269, 7316, 941, 596, 286, 11408, 3168, 547, 1250, 4064, 607, 2484, 607, 594, 1223, 1294, 538, 782, 8846, 267, 1256, 547, 4952, 602, 594, 1223, 1294, 1250, 4651, 563, 10144, 941, 25356, 15508, 543, 9308, 269, 898, 3323, 547, 4764, 543, 729, 4411, 269, 10801, 519, 1554, 649, 1705, 711, 4309, 1426, 267, 855, 649, 1185, 547, 1796, 538, 1899, 543, 7227, 269, 7053, 267, 606, 9399, 11464, 3357, 543, 5143, 721, 646, 1131, 2119, 547, 1205, 930, 7401, 269, 901, 729, 711, 513, 4313, 547, 803, 269, 594, 729, 513, 4503, 9997, 563, 30952, 649, 1185, 547, 581, 21149, 539, 269, 769, 713, 1747, 267, 513, 1706, 822, 600, 938, 9843, 269, 1284, 1185, 547, 3768, 816, 269, 1358, 1500, 721, 979, 998, 1208, 8270, 908, 12475, 999, 269, 3776, 9660, 941, 3144, 2476, 543, 649, 1185, 547, 10571, 538, 513, 18061, 540, 986, 7714, 269, 1306, 594, 15336, 998, 602, 1858, 540, 771, 26529, 267, 607, 513, 27803, 267, 594, 14478, 1250, 1101, 23013, 593, 519, 533, 11189, 2427, 267, 7395, 6767, 21890, 514, 269, 2701, 8068, 803, 693, 519, 1482, 942, 269, 1261, 5143, 803, 972, 729, 18864, 538, 707, 1920, 543, 602, 649, 1058, 2119, 547, 3251, 1927, 269, 594, 12479, 649, 1223, 798, 602, 563, 5415, 12784, 649, 4682, 3144, 547, 519, 595, 700, 4526, 630, 7615, 595, 1040, 3816, 664, 1055, 269, 589, 737, 777, 334, 630, 773, 267, 513, 26956, 905, 3218, 320, 11280, 547, 936, 5408, 513, 1808, 2324, 1895, 540, 14586, 264, 3357, 547, 721, 269, 1261, 5143, 721, 1010, 2012, 267, 570, 657, 6390, 269, 594, 3494, 621, 729, 513, 14470, 8004, 269, 898, 8604, 547, 581, 1360, 9237, 269, 1261, 4280, 952, 649, 1185, 1022, 2055, 269, 3509, 1004, 4280, 519, 1482, 2243, 267, 834, 15290, 649, 786, 2743, 609, 2818, 540, 938, 3885, 8119, 2060, 17229, 538, 1010, 4064, 267, 11329, 547, 519, 1212, 332, 1807, 1756, 269, 1261, 6170, 513, 2182, 942, 6158, 269, 2991, 1036, 8724, 1010, 735, 3837, 267, 646, 4797, 281, 834, 2026, 596, 267, 594, 729, 4547, 1934, 609, 1250, 1920, 267, 855, 1631, 594, 6415, 4805, 1701, 2782, 2740, 721, 547, 3251, 10332, 267, 3251, 9800, 1131, 711, 581, 2653, 269, 2991, 602, 267, 649, 941, 1200, 4765, 883, 519, 8774, 269, 3371, 729, 1776, 29518, 334, 267, 1010, 2012, 729, 5345, 320, 269, 898, 729, 29063, 269, 589, 6014, 8004, 543, 1268, 762, 267, 1969, 539, 695, 600, 6804, 569, 267, 1210, 513, 6529, 547, 1852, 1004, 563, 2171, 941, 17065, 7458, 883, 513, 9361, 2990, 1932, 9395, 585, 519, 3781, 269, 769, 1250, 3765, 2044, 267, 594, 4956, 1246, 519, 5796, 540, 15887, 6798, 281, 723, 4126, 543, 7281, 269, 3962, 3781, 267, 973, 1746, 19001, 538, 12355, 269, 594, 6785, 873, 1134, 543, 3769, 1169, 4759, 540, 1250, 1920, 543, 267, 540, 1576, 267, 589, 529, 333, 2917, 1496, 309, 5028, 781, 7911, 23136, 4940, 2368, 6011, 267, 1250, 3909, 4282, 814, 2016, 803, 4222, 269, 1809, 646, 849, 1185, 513, 2631, 540, 16203, 267, 834, 25585, 803, 286, 4208, 993, 594, 9800, 543, 1250, 1920, 1281, 711, 286, 834, 269, 8776, 7757, 803, 563, 6524, 21554, 649, 941, 32570, 539, 676, 513, 10978, 27646, 269, 1284, 1185, 547, 2196, 543, 5447, 6000, 585, 14791, 269, 3828, 823, 513, 3018, 267, 649, 1185, 547, 15292, 21736, 883, 513, 8774, 538, 4395, 540, 7189, 267, 631, 3188, 548, 543, 930, 1866, 267, 585, 5542, 269, 1403, 835, 941, 6569, 689, 519, 20313, 267, 621, 5921, 2669, 269, 1924, 267, 649, 6836, 547, 1413, 707, 1655, 563, 2171, 3893, 513, 20105, 540, 3694, 543, 827, 513, 23188, 540, 25888, 538, 519, 6640, 269, 769, 519, 12784, 649, 1500, 513, 2490, 547, 4584, 909, 513, 1494, 540, 1426, 267, 799, 1185, 1100, 8137, 267, 1360, 2370, 269, 1703, 941, 1100, 10824, 610, 2759, 331, 2044, 269, 4935, 267, 649, 1500, 513, 4737, 835, 1310, 1776, 543, 1743, 1678, 519, 1482, 7484, 269, 3509, 1004, 267, 8885, 3769, 267, 941, 3478, 10733, 2068, 1496, 338, 2017, 11803, 4940, 769, 519, 12784, 267, 1586, 267, 649, 1185, 547, 1796, 538, 1899, 585, 1079, 3108, 547, 581, 18886, 269, 6884, 594, 4718, 14616, 4703, 267, 971, 607, 5755, 267, 1996, 519, 20545, 269, 16527, 835, 29695, 8289, 563, 3080, 6640, 267, 1310, 519, 1293, 267, 2482, 593, 519, 6989, 269, 1323, 9399, 17199, 22283, 593, 1250, 7181, 269, 634, 17005, 1776, 1554, 729, 606, 9740, 563, 10666, 1614, 610, 2185, 4374, 2663, 267, 835, 6640, 267, 649, 9411, 883, 513, 20313, 547, 723, 938, 9517, 2338, 31024, 539, 593, 741, 2062, 15767, 267, 950, 1250, 23013, 7395, 6767, 729, 6569, 689, 519, 20313, 269, 11088, 594, 5433, 4503, 269, 594, 2731, 4941, 547, 3251, 609, 1200, 267, 729, 1360, 1434, 547, 803, 269, 594, 5679, 3881, 1524, 543, 4682, 547, 513, 6885, 267, 543, 594, 5293, 1200, 7395, 6767, 269, 594, 3893, 538, 1899, 3297, 1200, 269, 1284, 1185, 1100, 2856, 1018, 1131, 4755, 547, 721, 267, 855, 649, 941, 1927, 1586, 543, 602, 5921, 513, 2603, 547, 1312, 269, 1703, 941, 28465, 1004, 269, 1284, 4497, 538, 1507, 530, 30368, 15504, 676, 513, 8778, 528, 269, 2991, 10707, 585, 827, 1614, 543, 513, 3368, 3108, 267, 649, 8452, 693, 513, 3484, 563, 2171, 941, 2016, 12062, 538, 513, 8774, 269, 1284, 11739, 696, 593, 12450, 593, 519, 6989, 269, 13536, 267, 2322, 930, 524, 1824, 585, 721, 269, 1879, 621, 729, 3478, 4158, 267, 519, 7450, 729, 6806, 543, 649, 941, 19526, 269, 476, 277, 281, 876, 993, 634, 9885, 8118, 1586, 269, 1284, 3893, 930, 1426, 543, 941, 3144, 676, 14903, 547, 519, 4610, 547, 960, 269, 1284, 1185, 547, 7556, 10568, 543, 28113, 267, 22619, 344, 15985, 956, 267, 17063, 873, 543, 1747, 873, 20005, 267, 607, 952, 8108, 26829, 269, 1284, 1185, 1079, 19217, 832, 281, 513, 812, 945, 729, 9543, 269, 1403, 4896, 1185, 8373, 3478, 960, 267, 3843, 547, 948, 543, 729, 2760, 14220, 269, 634, 4807, 1705, 711, 899, 1022, 540, 721, 269, 594, 4862, 1200, 2995, 519, 28643, 602, 649, 941, 6014, 543, 1705, 711, 17330, 1022, 948, 269, 1284, 782, 2119, 547, 2285, 607, 1454, 540, 721, 267, 713, 1747, 729, 9090, 1732, 982, 26401, 269, 2201, 9530, 904, 267, 585, 12129, 267, 5795, 721, 11792, 1117, 12277, 609, 513, 20105, 540, 8423, 593, 513, 6676, 3339, 269, 901, 5921, 513, 2603, 547, 3025, 563, 3080, 1554, 519, 8227, 887, 1372, 547, 519, 1747, 1141, 649, 5249, 269, 595, 6817, 803, 543, 1776, 8004, 547, 2911, 547, 1864, 269, 570, 1245, 721, 602, 3079, 540, 960, 538, 519, 4610, 267, 649, 1131, 960, 538, 519, 10051, 269, 634, 824, 8004, 729, 1152, 24369, 269, 28611, 594, 4718, 26124, 10887, 269, 594, 8694, 909, 4543, 519, 1079, 12103, 1749, 267, 890, 9934, 5388, 267, 5613, 543, 865, 593, 269, 898, 729, 1732, 982, 2324, 538, 519, 4610, 269, 898, 4904, 1250, 9660, 609, 519, 32675, 540, 13212, 22019, 539, 269, 2368, 2053, 1223, 12404, 930, 17436, 610, 1507, 13212, 282, 941, 3838, 609, 3025, 563, 309, 807, 519, 1920, 2469, 547, 5939, 593, 10732, 544, 1941, 902, 269, 594, 15422, 875, 621, 1031, 547, 979, 547, 31263, 4084, 609, 1250, 3237, 267, 7015, 267, 19946, 543, 824, 2818, 540, 1250, 1920, 269, 1703, 729, 679, 2365, 540, 873, 267, 855, 10413, 803, 513, 2603, 269, 634, 21440, 729, 865, 29695, 269, 3371, 594, 729, 267, 2324, 607, 835, 10553, 269, 4208, 286, 594, 1185, 711, 2944, 4376, 4636, 269, 21518, 4535, 538, 519, 4168, 5132, 269, 5549, 1211, 958, 267, 594, 729, 4535, 538, 519, 6014, 5132, 269, 1358, 1185, 3388, 789, 11262, 269, 2353, 540, 721, 1185, 1044, 1476, 4593, 730, 269, 16874, 1010, 1920, 9800, 269, 594, 798, 711, 917, 1018, 5949, 547, 9553, 269, 1215, 1223, 5512, 782, 1346, 10963, 5949, 538, 519, 14206, 2540, 267, 799, 9444, 835, 4182, 3843, 547, 4688, 721, 286, 7316, 729, 2696, 286, 1261, 1131, 723, 11739, 696, 286, 594, 729, 9561, 1250, 5132, 538, 8103, 269, 7726, 539, 519, 6228, 540, 2696, 269, 2991, 782, 267, 1185, 2938, 519, 1212, 332, 1807, 807, 1517, 4221, 8673, 782, 1554, 693, 26401, 269, 634, 8909, 2065, 28877, 646, 1185, 14754, 5795, 803, 2601, 547, 3494, 602, 972, 729, 1360, 2370, 4960, 602, 3025, 1131, 1294, 1250, 1920, 1586, 563, 5475, 2324, 538, 519, 10051, 585, 827, 1614, 3275, 267, 594, 4862, 1079, 12103, 1749, 6029, 6161, 827, 875, 2673, 519, 28592, 941, 543, 1018, 1131, 4755, 547, 873, 269, 1280, 721, 267, 713, 5921, 513, 4126, 267, 602, 938, 5191, 729, 4947, 269, 630, 1862, 994, 763, 28592, 941, 16042, 269, 1284, 1185, 2938, 25044, 30762, 7404, 269, 3776, 2729, 941, 693, 1164, 1981, 269, 15526, 729, 12922, 269, 1284, 3136, 547, 960, 1776, 1079, 4374, 855, 835, 6640, 267, 3079, 540, 1373, 9141, 547, 960, 267, 649, 941, 16487, 1394, 547, 26401, 269, 898, 729, 1360, 2352, 547, 1869, 723, 4126, 269, 4658, 538, 26401, 8604, 7729, 30416, 543, 941, 23279, 1317, 649, 6170, 942, 2324, 593, 513, 3484, 269, 1284, 941, 5143, 602, 1185, 30192, 835, 27193, 639, 15435, 269, 2368, 540, 519, 554, 7491, 1185, 1044, 14616, 547, 519, 13210, 269, 4658, 5747, 899, 13733, 269, 594, 1223, 711, 1265, 1913, 547, 2491, 519, 8515, 540, 6760, 269, 1635, 602, 942, 267, 621, 8604, 602, 649, 941, 519, 24790, 540, 513, 5198, 269, 3223, 696, 10213, 8885, 711, 547, 2285, 909, 910, 952, 2576, 538, 1250, 1920, 1185, 15068, 267, 1522, 991, 803, 269, 901, 4743, 540, 5539, 547, 1250, 1920, 543, 938, 5198, 6854, 803, 8165, 547, 3251, 9800, 563, 763, 14000, 267, 2083, 628, 543, 25711, 4797, 269, 2290, 6640, 267, 547, 1250, 22035, 7321, 267, 594, 4607, 513, 1507, 10189, 269, 634, 29518, 334, 5795, 803, 267, 1767, 646, 1185, 547, 3142, 1394, 513, 16253, 269, 594, 8118, 621, 267, 972, 729, 513, 3787, 540, 3694, 267, 513, 15513, 543, 513, 4063, 269, 634, 1543, 540, 519, 19044, 729, 519, 1739, 281, 834, 13195, 4535, 538, 12996, 269, 594, 6415, 711, 6014, 269, 5398, 569, 6829, 11685, 547, 519, 2229, 267, 865, 594, 729, 2366, 547, 26401, 269, 594, 993, 513, 4387, 269, 594, 4898, 952, 596, 19533, 3544, 707, 5132, 269, 834, 1684, 711, 1491, 803, 1279, 547, 4431, 269, 769, 1250, 2295, 267, 594, 6785, 594, 1131, 711, 19533, 3544, 540, 1250, 5132, 267, 856, 540, 2463, 585, 1250, 3237, 269, 4746, 267, 1185, 711, 2943, 14460, 4126, 609, 2463, 547, 589, 1231, 2917, 269, 1924, 267, 594, 6829, 1250, 7064, 547, 1864, 543, 1767, 1250, 4128, 269, 8550, 1586, 4862, 689, 1864, 1586, 267, 855, 729, 835, 16854, 1489, 5837, 3494, 602, 972, 729, 930, 1004, 22510, 856, 972, 543, 602, 594, 1058, 798, 519, 25932, 547, 7639, 563, 288, 1906, 4374, 2663, 267, 7395, 6767, 543, 594, 267, 2059, 609, 1082, 1866, 267, 941, 3144, 547, 1776, 5834, 3786, 269, 1879, 649, 8452, 267, 1079, 29518, 657, 941, 538, 5279, 540, 8744, 721, 883, 519, 2361, 269, 1677, 938, 3765, 325, 28232, 267, 3576, 23118, 609, 513, 2990, 540, 27166, 267, 554, 19982, 543, 1178, 25290, 269, 898, 729, 19849, 23035, 543, 594, 729, 17512, 1881, 269, 1358, 1767, 789, 15422, 873, 1200, 19946, 269, 8298, 334, 835, 20313, 729, 22619, 344, 543, 15336, 585, 519, 2361, 563, 2691, 649, 4283, 519, 2361, 267, 729, 513, 32049, 1995, 269, 769, 519, 1647, 540, 519, 2361, 729, 513, 5458, 546, 3558, 269, 1284, 1185, 5447, 593, 835, 2427, 269, 769, 938, 4395, 267, 593, 519, 824, 2427, 267, 519, 7980, 9399, 941, 7555, 267, 609, 741, 20711, 956, 15738, 585, 721, 269, 4658, 941, 538, 11784, 267, 4250, 532, 602, 649, 941, 6849, 513, 20590, 27805, 269, 570, 3072, 9350, 1004, 538, 1250, 4395, 609, 519, 7778, 602, 267, 952, 789, 4941, 6146, 721, 267, 713, 1131, 723, 1044, 2944, 538, 26401, 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, 10666, 519, 4162, 267, 2640, 543, 2127, 540, 946, 540, 519, 3354, 6316, 454, 763, 834, 300, 22389, 6034, 633, 257, 2798, 856, 602, 585, 5906, 6191, 547, 581, 2322, 883, 5106, 267, 3102, 3106, 3800, 1590, 581, 3144, 547, 2149, 519, 1004, 945, 946, 891, 6191, 563, 3080, 540, 519, 3800, 568, 547, 2149, 519, 13128, 5397, 3926, 602, 814, 513, 1713, 1981, 540, 5969, 16405, 543, 11493, 3441, 563, 1103, 1931, 547, 2061, 519, 1981, 540, 5969, 8728, 543, 2736, 720, 267, 3106, 25259, 5905, 8728, 666, 581, 1031, 563, 2690, 1383, 267, 930, 6093, 3156, 267, 3684, 4027, 267, 17666, 3760, 267, 14364, 3942, 267, 3092, 269, 1879, 596, 9594, 519, 3106, 6316, 267, 519, 1379, 786, 581, 2759, 1055, 5612, 269, 6969, 595, 312, 21254, 2752, 9250, 519, 3106, 6316, 267, 972, 941, 2901, 3167, 5665, 3457, 1759, 593, 519, 715, 23860, 6240, 630, 15290, 519, 3106, 6316, 729, 20109, 267, 1079, 25801, 13164, 610, 6106, 1131, 581, 4448, 1070, 610, 4244, 3044, 2584, 29090, 3457, 3590, 630, 2041, 600, 568, 29169, 1040, 20905, 899, 713, 7500, 3842, 6786, 267, 799, 991, 547, 581, 10736, 543, 9268, 3842, 519, 1852, 1770, 563, 290, 312, 21254, 2752, 3346, 5832, 1374, 543, 5106, 7154, 454, 300, 778, 1149, 543, 3937, 609, 5906, 5322, 1590, 581, 9280, 609, 6595, 3247, 3457, 269, 901, 3926, 568, 16913, 676, 606, 3617, 3106, 20794, 1770, 563, 5978, 3106, 17066, 616, 4448, 538, 3126, 609, 513, 7344, 715, 14727, 6467, 267, 799, 568, 3964, 538, 519, 1106, 540, 513, 3346, 5832, 269, 18430, 633, 3346, 5066, 619, 543, 32229, 16369, 2694, 630, 342, 8354, 5066, 619, 264, 616, 3124, 2299, 11231, 593, 519, 7269, 1899, 269, 3414, 519, 5910, 3290, 267, 519, 3346, 5066, 619, 786, 25837, 1927, 547, 1118, 519, 1699, 2095, 563, 763, 1764, 3196, 786, 2014, 519, 530, 8354, 11057, 16369, 5057, 547, 1847, 543, 31028, 693, 2547, 835, 6292, 540, 3346, 5066, 619, 538, 519, 3106, 3346, 6316, 267, 865, 602, 519, 1699, 786, 581, 29169, 269, 4595, 519, 1699, 954, 8306, 12958, 513, 5365, 267, 972, 568, 1100, 991, 547, 1685, 3977, 5365, 7503, 267, 543, 519, 5547, 954, 8306, 5365, 568, 1463, 454, 13510, 9005, 269, 634, 14443, 5365, 568, 10299, 547, 519, 3106, 20794, 1852, 543, 2047, 4607, 676, 519, 6595, 3247, 7735, 269, 6153, 15175, 4162, 634, 9300, 851, 540, 519, 3106, 6316, 568, 4092, 2047, 3297, 519, 12285, 269, 634, 4276, 954, 8306, 568, 711, 3361, 676, 519, 1219, 3005, 540, 519, 3346, 5832, 267, 855, 676, 519, 7503, 540, 5007, 24293, 4229, 883, 30212, 4229, 269, 4634, 609, 513, 1507, 9594, 3196, 543, 513, 2110, 12761, 267, 713, 3196, 666, 9594, 519, 9505, 6658, 1599, 269, 634, 6967, 4463, 540, 519, 12285, 666, 581, 1031, 538, 936, 10177, 767, 269, 23883, 609, 2543, 547, 5945, 6604, 267, 1804, 936, 10177, 767, 3106, 543, 6213, 5905, 8728, 616, 5393, 1271, 563, 18814, 547, 519, 10047, 958, 27101, 1374, 540, 519, 3346, 5832, 267, 27985, 938, 3346, 6316, 666, 581, 13234, 538, 1022, 4287, 267, 602, 568, 547, 2161, 267, 922, 6213, 2039, 666, 3382, 476, 11740, 4113, 563, 19119, 585, 3755, 454, 7712, 519, 3346, 5832, 568, 1528, 4435, 2559, 1227, 29169, 676, 519, 17066, 267, 513, 2027, 1852, 1770, 568, 711, 2838, 267, 543, 519, 29169, 5365, 666, 581, 1031, 5612, 269, 769, 1840, 547, 9494, 3790, 267, 1100, 7199, 4276, 543, 11443, 4238, 616, 2838, 563, 5591, 991, 585, 606, 3606, 1852, 1770, 547, 3094, 14951, 593, 513, 22125, 1852, 8470, 454, 22091, 2400, 2230, 269, 2986, 1576, 267, 1776, 1875, 7721, 11962, 3926, 3112, 979, 4636, 269, 634, 946, 540, 31028, 17066, 18715, 513, 2362, 1377, 540, 3106, 563, 763, 3346, 5832, 3106, 6316, 598, 13257, 547, 667, 2562, 18869, 7121, 476, 274, 538, 519, 7222, 1374, 12122, 454, 2894, 476, 15946, 5392, 268, 272, 2987, 6984, 519, 9300, 851, 269, 1280, 938, 1062, 267, 12242, 7302, 14128, 610, 811, 1374, 568, 711, 2556, 267, 519, 5821, 7154, 2079, 540, 519, 4436, 8047, 645, 294, 454, 2005, 2982, 602, 281, 513, 2582, 5821, 786, 711, 1291, 547, 519, 2530, 540, 519, 3106, 1599, 267, 799, 1797, 602, 519, 10661, 540, 513, 2241, 2497, 1062, 568, 4847, 563, 2691, 513, 2582, 5470, 4386, 267, 519, 1062, 786, 5612, 1689, 547, 513, 2922, 1533, 281, 9505, 1524, 269, 1403, 519, 3106, 6316, 543, 519, 1439, 1698, 616, 711, 9985, 27433, 267, 610, 519, 13021, 3587, 4057, 1317, 519, 15441, 3587, 28221, 267, 1022, 1202, 22399, 971, 607, 7452, 543, 13897, 602, 949, 4283, 786, 711, 2014, 519, 2530, 540, 519, 3106, 1599, 563, 31711, 519, 2361, 540, 946, 585, 1142, 3498, 454, 2690, 1022, 5122, 5057, 267, 519, 1883, 4183, 568, 2356, 27575, 267, 543, 540, 1576, 519, 1482, 568, 3020, 585, 519, 3106, 6316, 269, 9966, 7190, 610, 1216, 31593, 949, 2014, 3441, 547, 519, 3334, 269, 634, 1883, 547, 2922, 6316, 27575, 568, 602, 519, 8818, 1063, 519, 12285, 543, 519, 1439, 1698, 568, 2356, 1350, 4240, 1927, 563, 5715, 14995, 267, 972, 568, 1100, 1966, 538, 1210, 513, 3926, 602, 3096, 15441, 547, 15441, 519, 1439, 11503, 269, 3371, 267, 519, 3106, 6316, 568, 2356, 6534, 547, 10792, 5054, 267, 971, 607, 3282, 267, 3579, 656, 267, 3092, 1421, 855, 1216, 10355, 4386, 538, 1804, 5666, 269, 769, 1840, 267, 1164, 9830, 540, 3665, 2837, 267, 17645, 267, 543, 22292, 5982, 616, 10355, 1336, 563, 11073, 13073, 267, 519, 6587, 568, 3020, 269, 7201, 971, 2175, 267, 519, 15441, 540, 519, 1439, 1698, 786, 1831, 28221, 936, 942, 267, 799, 786, 1860, 519, 9395, 1145, 563, 290, 312, 21254, 2752, 2488, 1114, 2326, 543, 27575, 4066, 585, 11255, 543, 9205, 946, 269, 3776, 9205, 3106, 6316, 568, 513, 5175, 4754, 1242, 5377, 3382, 267, 865, 1216, 568, 711, 513, 1966, 269, 0, 27670, 540, 13181, 454, 30862, 2207, 20796, 9169, 20978, 13181, 454, 24552, 7404, 13181, 454, 1692, 547, 946, 13181, 538, 513, 4845, 454, 15987, 2854, 585, 3214, 9907, 476, 279, 268, 1321, 267, 519, 1433, 568, 2502, 543, 13181, 585, 4079, 269, 14532, 3091, 4126, 538, 519, 22984, 540, 30270, 347, 298, 27821, 16423, 324, 347, 20606, 476, 2764, 267, 476, 1708, 271, 347, 29910, 2349, 1228, 454, 5804, 1287, 593, 267, 707, 2079, 540, 519, 1543, 3294, 568, 3908, 547, 875, 13181, 543, 28505, 621, 568, 5861, 2632, 550, 6725, 14543, 281, 1215, 547, 5659, 543, 2087, 23277, 19376, 1684, 518, 347, 20606, 476, 2767, 267, 476, 1708, 271, 347, 15507, 5422, 13772, 454, 9928, 1335, 320, 1665, 1575, 568, 3009, 602, 2337, 3406, 9817, 1732, 1174, 1018, 513, 1357, 2985, 568, 827, 538, 1931, 547, 1459, 811, 13181, 3406, 2164, 585, 3755, 269, 2304, 22048, 779, 3391, 547, 2680, 28203, 1665, 1575, 19064, 4954, 24261, 347, 20606, 476, 1691, 267, 476, 1708, 271, 347, 15507, 5422, 13772, 454, 1692, 1134, 891, 13968, 3625, 20256, 689, 5230, 7244, 267, 2864, 982, 6158, 267, 1522, 581, 513, 811, 13181, 2268, 540, 741, 10626, 269, 275, 4128, 596, 12582, 1406, 17885, 707, 8405, 32364, 3438, 1759, 593, 519, 1007, 9633, 1353, 347, 297, 517, 11936, 19681, 6975, 347, 20606, 476, 1321, 267, 476, 1708, 271, 16085, 7220, 5240, 454, 21413, 1434, 1543, 267, 621, 3587, 2352, 547, 1711, 13181, 1357, 3817, 610, 7584, 3810, 538, 3406, 9817, 12171, 633, 2081, 22048, 543, 1357, 1374, 979, 1927, 347, 297, 32667, 645, 10314, 347, 20809, 476, 2641, 267, 476, 1708, 271, 347, 15507, 5422, 13772, 454, 1320, 748, 663, 536, 15085, 513, 7260, 267, 11157, 8696, 13181, 3764, 538, 3259, 9950, 331, 3467, 15182, 731, 779, 27743, 10003, 547, 674, 877, 543, 674, 28232, 23277, 833, 700, 1575, 3821, 347, 20826, 476, 1724, 267, 476, 1001, 275, 347, 6395, 6579, 312, 18688, 17129, 454, 2304, 10332, 9997, 3893, 3180, 585, 519, 6389, 19710, 1721, 770, 3994, 15330, 3821, 2593, 543, 3812, 513, 811, 13181, 1612, 1328, 7868, 4258, 7958, 685, 32719, 550, 2782, 347, 3891, 1430, 670, 14766, 321, 4669, 347, 18907, 476, 1240, 267, 476, 1001, 275, 347, 6395, 6579, 312, 18688, 17129, 454, 1607, 7160, 568, 9090, 513, 7558, 1043, 543, 13181, 16702, 883, 938, 2250, 12282, 1563, 27339, 13669, 802, 6168, 3571, 1715, 3883, 585, 8479, 22419, 347, 19365, 744, 685, 3519, 24335, 347, 19688, 476, 1321, 267, 476, 1001, 275, 347, 6395, 6579, 312, 18688, 17129, 454, 1607, 568, 519, 12705, 7812, 18582, 2284, 3947, 538, 1010, 521, 11170, 1782, 543, 13181, 26813, 20136, 10432, 779, 12182, 3367, 338, 281, 4728, 476, 1704, 267, 476, 1001, 275, 347, 28846, 1744, 2378, 320, 773, 327, 347, 18550, 476, 1704, 267, 476, 1001, 275, 347, 6395, 6579, 312, 18688, 17129, 454, 307, 1195, 7974, 281, 631, 6269, 1115, 4107, 654, 5896, 1548, 606, 19278, 2943, 13181, 5010, 256, 763, 476, 1428, 7454, 8111, 30558, 476, 1001, 275, 20497, 338, 347, 13051, 1855, 527, 601, 29231, 347, 21938, 476, 273, 267, 476, 1001, 275, 347, 6395, 6579, 312, 18688, 17129, 454, 8248, 793, 582, 781, 10731, 543, 13181, 2565, 4967, 17330, 2027, 17192, 563, 1607, 10169, 13680, 2773, 568, 3730, 693, 1655, 585, 513, 1906, 8049, 610, 13181, 4967, 563, 2005, 729, 4277, 543, 13181, 547, 4063, 519, 4408, 543, 2338, 540, 2818, 540, 938, 5198, 689, 891, 1114, 2276, 563, 763, 1034, 13181, 543, 1655, 27787, 1433, 593, 519, 23267, 1966, 649, 723, 2479, 1224, 14371, 4265, 338, 538, 519, 5664, 12698, 347, 24730, 11412, 731, 454, 19285, 993, 8744, 538, 519, 533, 3881, 2437, 941, 519, 3810, 13181, 1913, 6185, 652, 4176, 347, 28846, 3026, 6807, 21207, 0, 7775, 514, 27494, 5211, 538, 27816, 269, 29547, 538, 519, 23683, 3474, 9874, 538, 521, 27816, 267, 621, 8928, 562, 342, 547, 21896, 267, 1287, 562, 267, 8108, 851, 540, 519, 27816, 4211, 565, 4861, 807, 8473, 267, 543, 6368, 552, 883, 519, 9533, 7909, 676, 513, 5318, 18232, 269, 20099, 281, 524, 269, 18684, 273, 14790, 630, 12553, 272, 14741, 1916, 5415, 3245, 22605, 2593, 454, 10666, 713, 2376, 454, 5472, 17796, 20620, 24993, 4119, 476, 2190, 476, 1001, 277, 6168, 22605, 2593, 1543, 7179, 13445, 454, 2791, 631, 697, 4746, 6145, 0, 5804, 741, 4098, 267, 631, 3317, 517, 2572, 723, 4810, 7142, 4955, 5928, 1813, 547, 3909, 20655, 269, 9122, 593, 741, 9194, 2833, 267, 13400, 12496, 267, 543, 24396, 24300, 540, 519, 5939, 543, 519, 1533, 267, 594, 2709, 513, 631, 3317, 31354, 5133, 540, 24756, 602, 2882, 2947, 4295, 3344, 269, 3689, 267, 16382, 649, 2661, 543, 17743, 267, 602, 2230, 568, 519, 7083, 779, 543, 2696, 568, 519, 10700, 3984, 945, 7143, 3699, 4896, 538, 2696, 779, 1747, 269, 5822, 267, 607, 513, 27540, 267, 16382, 835, 1522, 12446, 267, 602, 1747, 568, 2696, 779, 1364, 775, 267, 2436, 621, 568, 10151, 610, 1279, 3856, 269, 12059, 267, 607, 513, 3984, 267, 945, 1197, 1522, 12446, 693, 835, 779, 1747, 267, 519, 14538, 616, 2696, 779, 1004, 269, 19549, 267, 24756, 1797, 547, 20102, 543, 7772, 2685, 2671, 2696, 779, 10731, 13344, 602, 2696, 814, 2016, 1312, 547, 519, 14747, 543, 519, 14538, 269, 25004, 267, 607, 519, 5939, 5963, 2259, 24756, 267, 649, 1831, 513, 1129, 14006, 540, 519, 10806, 540, 2696, 267, 606, 4244, 2146, 602, 4422, 3564, 938, 8789, 19237, 267, 899, 16851, 543, 18541, 563, 12831, 7572, 682, 584, 1976, 710, 267, 8350, 2367, 12061, 2572, 23835, 598, 20692, 964, 4955, 5928, 585, 322, 2946, 525, 679, 986, 2581, 632, 3288, 1086, 2946, 322, 1081, 2538, 773, 2224, 269, 3331, 478, 851, 597, 632, 632, 682, 2720, 1163, 2946, 686, 1878, 632, 9194, 267, 632, 682, 2720, 954, 1440, 18863, 725, 536, 7441, 2294, 1696, 632, 682, 584, 6584, 2946, 2380, 542, 555, 2946, 860, 1664, 632, 561, 685, 32723, 6921, 1047, 1696, 632, 561, 685, 32723, 339, 520, 267, 14247, 929, 15530, 25366, 11552, 5133, 2367, 12061, 924, 1147, 561, 685, 327, 2214, 1388, 527, 2946, 26982, 2440, 526, 14557, 336, 3344, 23816, 3512, 14513, 269, 2776, 14741, 27056, 618, 267, 851, 719, 522, 383, 373, 562, 748, 642, 643, 976, 1696, 4356, 976, 267, 524, 564, 1965, 10628, 813, 691, 1304, 14193, 1530, 793, 16725, 1696, 12603, 340, 1609, 561, 685, 327, 20110, 974, 3706, 830, 26982, 934, 826, 4068, 269, 1546, 340, 3495, 11726, 1889, 618, 267, 679, 21915, 6446, 27540, 267, 522, 383 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 849, 581, 8246, 607, 606, 25644, 547, 513, 3126, 540, 1004, 945, 2671, 519, 1360, 1482, 3044, 19178, 269, 589, 12092, 568, 513, 1505, 540, 23187, 513, 3044, 1650, 7282, 513, 2713, 1268, 267, 2705, 609, 8766, 1344, 267, 3335, 1175, 513, 1906, 27367, 19178, 7282, 519, 1888, 269, 31849, 540, 1004, 1118, 946, 540, 22808, 607, 3277, 23552, 610, 607, 513, 2596, 4282, 547, 824, 9623, 827, 2043, 563, 288, 6915, 267, 610, 3274, 6915, 267, 568, 606, 4977, 267, 9488, 2272, 540, 2576, 779, 10715, 269, 898, 2882, 513, 2603, 811, 982, 519, 11953, 5013, 971, 607, 4332, 267, 960, 267, 2123, 12352, 267, 543, 849, 2669, 282, 3079, 267, 621, 28420, 519, 3460, 540, 513, 1480, 1373, 609, 1346, 4105, 3764, 540, 1010, 1272, 269, 634, 22808, 540, 4105, 3197, 4196, 607, 10274, 547, 1346, 602, 1131, 6157, 20053, 547, 1451, 811, 7282, 873, 269, 634, 4030, 13859, 676, 519, 22808, 540, 1713, 14789, 3761, 606, 1271, 2707, 540, 9623, 585, 10453, 267, 3173, 267, 3610, 267, 2797, 3401, 267, 543, 1866, 563, 288, 12092, 786, 2995, 1175, 875, 267, 1141, 267, 950, 267, 543, 1946, 606, 1367, 729, 4535, 269, 645, 3930, 540, 1713, 1004, 2874, 540, 19777, 540, 17512, 881, 4892, 971, 607, 5261, 20999, 570, 10762, 267, 8381, 992, 14355, 267, 543, 10361, 2986, 3557, 31187, 17619, 282, 12021, 4589, 971, 607, 2037, 573, 645, 569, 2023, 282, 543, 849, 12021, 12206, 899, 20182, 595, 668, 6202, 543, 849, 11184, 7338, 2961, 569, 548, 269, 1452, 19777, 616, 1898, 2079, 585, 1022, 1268, 5461, 538, 519, 2489, 1686, 540, 602, 942, 543, 1747, 267, 538, 1840, 547, 585, 1346, 5461, 538, 2123, 1686, 543, 849, 1367, 1646, 269, 634, 2956, 607, 1134, 607, 2956, 540, 22808, 666, 2760, 2479, 581, 18604, 563, 289, 3930, 540, 2713, 2043, 616, 1114, 689, 16494, 4081, 19777, 269, 769, 606, 16494, 4081, 6915, 267, 519, 8561, 568, 593, 519, 5856, 779, 1620, 543, 849, 1382, 607, 1134, 607, 3803, 4555, 7282, 519, 1641, 269, 769, 513, 27367, 1603, 267, 519, 1445, 4991, 593, 519, 1272, 540, 519, 1641, 269, 26597, 1979, 20802, 3442, 547, 1865, 513, 2582, 8978, 1297, 267, 855, 930, 1979, 20802, 16783, 609, 513, 1641, 267, 3384, 1585, 14789, 538, 741, 960, 269, 2368, 949, 2328, 827, 513, 1297, 540, 5396, 267, 782, 11341, 547, 1896, 4798, 269, 12846, 1866, 1522, 5816, 827, 519, 2789, 6163, 540, 519, 1360, 1482, 1974, 267, 855, 15827, 1114, 3344, 883, 519, 1360, 1482, 9661, 267, 5356, 621, 607, 606, 10562, 9661, 563, 4407, 513, 12092, 568, 711, 513, 8313, 538, 3294, 267, 16494, 4416, 2880, 19777, 616, 1869, 2813, 607, 952, 789, 941, 513, 8313, 267, 609, 1978, 2870, 14908, 543, 849, 11249, 269, 1358, 1118, 946, 540, 513, 10855, 1913, 971, 607, 1268, 267, 10639, 267, 2816, 267, 607, 1134, 607, 1585, 824, 25727, 547, 2491, 519, 1888, 269, 1280, 3236, 267, 952, 519, 5856, 23297, 547, 5816, 827, 513, 3140, 1297, 267, 646, 610, 1352, 786, 6157, 1419, 946, 1913, 968, 322, 2784, 548, 2223, 968, 322, 3497, 2223, 610, 1585, 824, 4998, 10643, 602, 12314, 609, 602, 1268, 267, 10503, 10305, 267, 7907, 267, 543, 1967, 269, 634, 4282, 3877, 3335, 13218, 8726, 609, 1142, 824, 563, 24145, 776, 19777, 267, 593, 519, 824, 1688, 267, 616, 30409, 2709, 513, 3140, 5813, 610, 2239, 827, 513, 2713, 610, 8978, 1268, 269, 589, 5339, 12092, 568, 5921, 547, 581, 993, 6748, 610, 13181, 543, 849, 621, 2356, 3568, 930, 4110, 540, 14172, 269, 634, 6662, 540, 5339, 19777, 568, 547, 2721, 538, 8436, 18783, 1283, 2298, 269, 4107, 5339, 19777, 616, 7768, 676, 1004, 945, 723, 930, 1702, 827, 519, 1888, 267, 4352, 930, 5339, 19777, 616, 7768, 676, 5640, 610, 676, 4966, 593, 519, 1641, 269, 1411, 666, 1265, 856, 811, 454, 23208, 19777, 1683, 606, 4277, 2638, 856, 519, 2729, 540, 2713, 7606, 269, 898, 666, 581, 513, 6325, 3926, 585, 811, 1344, 827, 513, 1978, 1367, 269, 1306, 971, 267, 19777, 616, 606, 1271, 851, 540, 15388, 513, 1641, 269, 4595, 789, 616, 513, 2603, 811, 2143, 543, 3063, 3769, 267, 789, 2154, 513, 1713, 2179, 540, 942, 607, 1134, 607, 1353, 547, 5352, 513, 1134, 27787, 267, 1134, 3146, 572, 2117, 1117, 12092, 269, 0, 13356, 476, 2918, 267, 476, 1001, 274, 5788, 4014, 519, 4496, 5860, 630, 14588, 6900, 8904, 264, 540, 11956, 568, 630, 326, 30763, 476, 274, 1070, 950, 519, 11956, 1166, 1389, 616, 11231, 267, 972, 568, 513, 7934, 1063, 891, 11956, 1166, 1389, 1317, 519, 11956, 1166, 1389, 723, 513, 3337, 16977, 547, 513, 5858, 267, 543, 8754, 630, 326, 30763, 476, 274, 264, 4586, 20225, 476, 1691, 267, 476, 1708, 271, 5788, 1215, 547, 13363, 1325, 26891, 3245, 4856, 12509, 269, 1879, 11956, 5956, 547, 30599, 1372, 267, 621, 786, 1831, 21260, 269, 6145, 15309, 267, 14809, 22655, 2476, 693, 519, 9757, 4496, 269, 901, 3884, 1405, 513, 3728, 1184, 269, 13298, 267, 621, 666, 1491, 4374, 267, 3275, 267, 610, 1256, 1296, 585, 606, 11956, 1587, 547, 30599, 1372, 269, 9717, 2614, 942, 267, 2705, 267, 11956, 2472, 666, 1020, 1804, 9475, 3361, 676, 4429, 293, 2752, 29368, 2177, 674, 7785, 303, 568, 513, 3318, 1984, 585, 8860, 3819, 24799, 267, 799, 814, 519, 1482, 2934, 607, 606, 5393, 2241, 543, 6198, 27115, 269, 674, 2752, 29368, 2177, 674, 7785, 303, 568, 2111, 547, 5094, 267, 538, 513, 2582, 8574, 267, 513, 1804, 851, 540, 519, 4839, 689, 519, 7912, 267, 3976, 13844, 513, 4586, 5629, 519, 7626, 568, 593, 519, 2627, 267, 519, 1184, 540, 3478, 519, 7777, 596, 1616, 856, 540, 519, 4224, 666, 1376, 269, 4495, 519, 7777, 568, 9674, 689, 519, 1964, 540, 519, 4224, 267, 519, 7777, 2115, 547, 581, 19345, 865, 602, 621, 666, 581, 1031, 269, 901, 1184, 666, 581, 6719, 676, 519, 1739, 2095, 24577, 6516, 281, 769, 713, 3184, 649, 786, 1413, 693, 1142, 540, 519, 3268, 538, 811, 1469, 563, 11321, 476, 4962, 267, 476, 1001, 280, 5788, 1325, 26891, 1166, 1389, 543, 1166, 820, 23416, 616, 3812, 676, 3819, 3440, 17819, 540, 11046, 1242, 11956, 896, 16931, 5790, 610, 8851, 540, 19857, 689, 6632, 332, 2683, 11046, 1242, 11956, 896, 6417, 2175, 269, 1325, 26891, 13594, 568, 1500, 676, 3440, 17819, 540, 11956, 23240, 610, 11956, 8869, 538, 3043, 30177, 538, 519, 4527, 540, 513, 19149, 656, 563, 300, 3739, 13560, 547, 15089, 18852, 281, 589, 4937, 6713, 585, 519, 6034, 16959, 31349, 540, 8081, 539, 19045, 9697, 3315, 7370, 269, 3220, 269, 670, 20087, 5576, 9445, 518, 269, 7665, 23945, 1188, 9743, 26623, 24166, 918, 2129, 6352, 325, 832, 577, 2426, 267, 918, 9820, 518, 310, 559, 25030, 5522, 28739, 476, 272, 267, 476, 3393, 275, 3583, 28228, 331, 8583, 267, 5125, 269, 9612, 585, 811, 4574, 676, 713, 2278, 269, 3220, 269, 681, 2940, 661, 1188, 1068, 563, 14257, 476, 6860, 267, 476, 1001, 277, 5788, 1452, 1166, 1389, 616, 25144, 20024, 543, 4174, 5529, 689, 513, 3001, 1357, 14041, 267, 27548, 9985, 5347, 11956, 1166, 1389, 609, 5402, 6417, 11098, 269, 769, 2474, 540, 9804, 2298, 267, 12511, 12669, 1242, 11956, 3091, 513, 1377, 540, 17285, 11958, 4800, 543, 10452, 1379, 796, 520, 1555, 762, 676, 2757, 17819, 3157, 563, 2690, 6632, 7933, 787, 1166, 1389, 281, 1341, 270, 476, 273, 267, 276, 260, 11341, 547, 8216, 2095, 282, 2776, 935, 1288, 281, 1552, 748, 6247, 656, 8023, 540, 1570, 543, 3586, 4881, 540, 546, 3151, 10822, 282, 25477, 2039, 689, 476, 1015, 547, 540, 22194, 998, 1584, 282, 645, 2894, 9128, 3951, 306, 269, 17828, 11544, 540, 9325, 2095, 689, 9470, 4771, 20061, 17819, 519, 782, 4395, 3296, 282, 4400, 560, 762, 2019, 636, 13011, 6111, 454, 13971, 476, 4905, 267, 476, 1001, 275, 5788, 634, 1184, 3322, 513, 1906, 3268, 5665, 538, 513, 5348, 1120, 2045, 1259, 281, 519, 3732, 729, 2964, 1227, 1989, 14800, 676, 3440, 17819, 585, 606, 20979, 942, 540, 476, 274, 1700, 1321, 554, 269, 1703, 12898, 267, 519, 1166, 1389, 941, 2417, 6094, 2740, 1210, 606, 608, 9110, 2747, 1184, 538, 513, 5277, 3070, 4553, 676, 2241, 18254, 543, 15018, 593, 513, 4586, 13356, 476, 1626, 267, 476, 1001, 271, 5788, 634, 598, 673, 1984, 3091, 1082, 5383, 936, 824, 17819, 2409, 267, 1519, 1970, 3002, 5108, 267, 8766, 7452, 267, 2362, 998, 1584, 543, 13916, 585, 946, 593, 1114, 2472, 269, 17972, 3436, 13555, 2694, 14475, 689, 476, 22332, 299, 16243, 5374, 630, 2894, 3738, 3436, 2353, 20910, 543, 575, 2532, 1115, 15111, 5360, 5050, 630, 338, 32281, 821, 267, 25280, 25539, 267, 3857, 517, 3092, 4700, 3436, 3143, 4496, 339, 2210, 531, 3346, 454, 291, 5300, 667, 11538, 849, 1634, 607, 24305, 667, 11538, 568, 513, 6024, 1184, 602, 5932, 3819, 32340, 543, 1166, 1389, 689, 513, 5277, 3049, 18450, 269, 634, 5277, 3049, 568, 10936, 539, 5196, 610, 538, 1063, 1079, 15914, 27120, 269, 634, 27120, 616, 12699, 24323, 609, 9252, 547, 2333, 519, 2627, 2837, 269, 1306, 519, 1570, 568, 10936, 539, 5196, 519, 27120, 267, 621, 16853, 543, 1743, 625, 547, 519, 2627, 563, 15037, 476, 6734, 267, 476, 1001, 273, 5788, 476, 273, 269, 20996, 631, 3739, 281, 16811, 543, 6713, 25159, 634, 17819, 540, 2326, 814, 1044, 513, 2101, 5057, 540, 519, 7777, 267, 17375, 4393, 267, 543, 8869, 12669, 21395, 6080, 269, 634, 6859, 540, 7344, 17819, 1331, 9325, 2450, 5786, 267, 11544, 610, 16471, 267, 9325, 3337, 2242, 543, 10282, 540, 6289, 24899, 22683, 563, 9802, 476, 4905, 267, 476, 1001, 279, 5788, 1325, 26891, 1166, 1389, 616, 6508, 689, 11956, 8869, 676, 519, 3819, 3440, 17819, 1184, 269, 634, 19767, 9472, 519, 2518, 11956, 32340, 267, 2250, 525, 267, 543, 1166, 1389, 2344, 547, 1332, 693, 513, 595, 8980, 305, 540, 4939, 1282, 519, 1974, 1547, 595, 2642, 538, 713, 1867, 454, 763, 3312, 1505, 540, 3819, 11491, 1637, 6964, 513, 5230, 10279, 16979, 2046, 547, 11741, 519, 3819, 8869, 269, 634, 11741, 532, 1184, 538, 713, 2013, 568, 1634, 607, 22376, 21794, 543, 519, 11741, 539, 1570, 729, 4061, 538, 519, 1106, 540, 834, 338, 1663, 7714, 257, 3335, 476, 1839, 6515, 538, 8006, 543, 476, 6200, 276, 6515, 5394, 269, 589, 17200, 1984, 568, 4998, 585, 8840, 909, 519, 22376, 7714, 547, 1711, 11491, 2737, 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 ]
[ 0, 10000, 5765, 22391, 18704, 454, 9943, 692, 258, 6513, 669, 777, 274, 692, 277, 267, 10755, 5784, 692, 13775, 593, 692, 1015, 700, 10105, 454, 32417, 454, 24687, 454, 1892, 9509, 8745, 454, 4467, 618, 4422, 1934, 780, 6701, 596, 2386, 596, 1616, 547, 8786, 3143, 454, 1892, 2142, 519, 1101, 547, 6085, 692, 21366, 454, 13707, 5784, 454, 277, 267, 10755, 454, 4002, 22391, 18704, 454, 271, 454, 5804, 21150, 2644, 454, 271, 454, 10831, 540, 21150, 2644, 454, 2767, 454, 288, 2388, 454, 306, 3873, 637, 454, 271, 454, 4510, 274, 454, 271, 454, 299, 10105, 454, 1015, 454, 21615, 2644, 476, 271, 454, 5591, 2377, 2644, 692, 5591, 4967, 585, 13472, 692, 2162, 6513, 669, 777, 274, 692, 272, 269, 476, 272, 269, 28132, 4629, 299, 20219, 23727, 306, 5990, 12088, 22159, 540, 13038, 4427, 17882, 338, 32516, 476, 274, 5254, 289, 476, 31620, 6734, 454, 273, 269, 476, 273, 269, 20505, 19569, 361, 1677, 2569, 513, 3625, 6516, 540, 2789, 1016, 17882, 338, 547, 513, 5365, 3625, 8204, 519, 4483, 1599, 689, 3403, 547, 3977, 454, 274, 269, 476, 274, 269, 4985, 19569, 364, 6969, 713, 649, 1152, 5249, 609, 1367, 1016, 17882, 338, 6719, 676, 513, 3625, 609, 922, 3403, 543, 3977, 269, 19569, 364, 13216, 1949, 616, 6719, 676, 519, 954, 28947, 540, 1082, 1016, 17882, 338, 269, 19569, 364, 769, 1931, 547, 5659, 938, 1062, 267, 649, 1616, 547, 2099, 2789, 1016, 17882, 338, 607, 513, 2582, 4483, 1599, 563, 275, 269, 476, 275, 269, 13332, 6516, 19569, 364, 589, 1016, 17882, 338, 568, 6719, 607, 513, 3625, 609, 606, 3403, 543, 3977, 543, 513, 4483, 1599, 269, 19569, 364, 3509, 1949, 616, 7768, 540, 2789, 1016, 17882, 338, 269, 1924, 267, 649, 991, 547, 1039, 513, 1906, 811, 28176, 2609, 547, 519, 3625, 6516, 269, 19569, 362, 19569, 362, 5681, 2719, 22882, 17292, 4752, 2798, 454, 276, 269, 476, 276, 269, 13332, 6516, 454, 277, 269, 476, 277, 269, 13332, 6516, 19569, 364, 5681, 2719, 22882, 19569, 362, 19569, 364, 19243, 5365, 267, 595, 4433, 1070, 568, 519, 15821, 2040, 540, 519, 3403, 6786, 267, 681, 272, 4433, 1070, 681, 273, 4433, 264, 543, 681, 274, 4433, 1040, 17292, 4752, 1448, 19569, 362, 20518, 2373, 519, 3403, 6786, 267, 681, 4433, 1070, 3768, 574, 31944, 267, 547, 1896, 3977, 2798, 563, 278, 269, 476, 278, 269, 13332, 6516, 19569, 364, 1703, 616, 1614, 1283, 3098, 602, 666, 581, 1031, 547, 2569, 513, 7294, 1062, 547, 513, 2582, 3625, 269, 19569, 362, 19569, 362, 19569, 362, 595, 2444, 1228, 1106, 23155, 1106, 24720, 1106, 454, 279, 269, 476, 279, 269, 13332, 6516, 19569, 364, 595, 2444, 1228, 1106, 19569, 362, 19569, 362, 19569, 364, 513, 269, 22107, 12184, 1016, 17882, 536, 269, 6697, 4483, 1599, 4982, 20884, 4483, 1599, 568, 519, 3977, 5258, 676, 519, 3403, 563, 280, 269, 476, 280, 269, 13332, 6516, 19569, 364, 23155, 1106, 19569, 362, 23155, 1016, 17882, 338, 723, 513, 1455, 3403, 543, 3977, 4646, 676, 519, 15821, 2040, 540, 519, 17016, 689, 782, 540, 519, 1016, 17882, 338, 563, 1015, 269, 476, 1015, 269, 13332, 6516, 19569, 364, 24720, 1106, 19569, 362, 898, 568, 519, 1482, 607, 519, 6806, 8520, 1062, 602, 649, 1451, 538, 3848, 476, 272, 269, 513, 269, 6806, 8520, 1062, 19569, 364, 536, 269, 6806, 8520, 267, 717, 4433, 264, 295, 4433, 264, 568, 1930, 8520, 4483, 1599, 19569, 364, 454, 1556, 269, 476, 1556, 269, 13332, 6516, 19569, 364, 25021, 7161, 547, 1711, 5432, 3029, 19569, 362, 595, 2444, 1228, 267, 6252, 543, 5955, 1283, 3098, 616, 711, 2141, 7805, 538, 513, 3625, 6516, 269, 19569, 362, 1411, 786, 1451, 3625, 7575, 602, 666, 581, 1500, 538, 1931, 547, 3715, 5432, 3029, 950, 789, 3592, 2291, 269, 594, 4318, 269, 1847, 7161, 2451, 543, 1318, 2250, 2040, 2719, 15118, 2388, 543, 4584, 4752, 2798, 563, 1321, 269, 476, 1321, 269, 13332, 6516, 13332, 6516, 7223, 585, 2040, 2719, 15118, 2388, 1765, 6697, 3029, 585, 3001, 513, 3625, 513, 269, 547, 519, 2451, 2250, 513, 2040, 2719, 22882, 282, 536, 269, 547, 519, 1318, 2250, 513, 2040, 2719, 22882, 454, 1724, 269, 476, 1724, 269, 13332, 6516, 13332, 6516, 7223, 585, 4584, 4752, 2798, 1765, 6697, 3029, 585, 3001, 513, 3625, 513, 269, 547, 519, 2451, 2250, 513, 4584, 4752, 1448, 282, 536, 269, 547, 519, 1318, 2250, 513, 4584, 4752, 1448, 454, 1691, 269, 476, 1691, 269, 13332, 6516, 13332, 6516, 5786, 3842, 5432, 3029, 7151, 281, 21079, 519, 3625, 6516, 547, 513, 2582, 4483, 1599, 563, 1428, 269, 476, 1428, 269, 13332, 6516, 8827, 281, 17778, 538, 6061, 7151, 476, 276, 269, 272, 281, 513, 269, 12900, 2040, 2719, 15118, 2388, 282, 536, 269, 1106, 6697, 22107, 12184, 1062, 538, 519, 4464, 2619, 543, 6697, 6252, 1062, 538, 519, 5955, 2619, 282, 524, 269, 1106, 6697, 5955, 1062, 543, 9062, 676, 22107, 12184, 717, 272, 4433, 994, 1626, 269, 476, 1626, 269, 13332, 6516, 13332, 6516, 5786, 676, 3001, 7161, 7151, 281, 21079, 519, 1062, 3254, 547, 513, 2582, 4483, 1599, 563, 1704, 269, 476, 1704, 269, 13332, 6516, 8827, 281, 3689, 267, 1847, 717, 273, 4433, 264, 547, 519, 2451, 2250, 519, 4584, 4752, 1448, 547, 1711, 6252, 1016, 17882, 338, 267, 543, 2569, 519, 5955, 1062, 9967, 540, 717, 274, 4433, 264, 543, 670, 274, 4433, 1916, 1240, 269, 476, 1240, 269, 13332, 6516, 5822, 267, 2569, 519, 6252, 6292, 9967, 540, 476, 272, 17320, 273, 4433, 264, 543, 9322, 543, 7903, 717, 272, 4433, 264, 547, 519, 1318, 2250, 519, 2040, 2719, 22882, 267, 2870, 6252, 1016, 17882, 338, 538, 519, 5955, 563, 866, 269, 476, 866, 269, 13332, 6516, 12059, 267, 12900, 519, 2040, 2719, 15118, 2388, 267, 1039, 519, 1079, 5955, 2609, 1927, 267, 543, 5916, 519, 2063, 1079, 22107, 12184, 7161, 563, 736, 269, 476, 736, 269, 13332, 6516, 19549, 267, 946, 519, 5955, 4542, 547, 3489, 4137, 2630, 7053, 9062, 519, 1079, 22107, 12184, 7161, 543, 3489, 519, 3803, 1267, 563, 2641, 269, 476, 2641, 269, 13332, 6516, 11644, 281, 4855, 519, 6697, 4483, 1599, 267, 570, 4433, 6661, 290, 4433, 8358, 305, 4433, 994, 2420, 269, 476, 2420, 269, 8827, 19569, 364, 19569, 364, 28799, 519, 6252, 7161, 538, 519, 4464, 2619, 269, 3973, 267, 7903, 476, 272, 4882, 547, 519, 2451, 2250, 519, 4584, 4752, 1448, 269, 28799, 519, 6252, 5955, 10092, 543, 1205, 476, 273, 338, 269, 15233, 519, 5955, 4542, 543, 14458, 454, 2537, 269, 476, 2537, 269, 13332, 6516, 5786, 3652, 19569, 364, 12834, 454, 2190, 269, 476, 2190, 269, 13332, 6516, 5786, 3652, 454, 1839, 269, 476, 1839, 269, 28686, 6363, 869, 11708, 20010, 1505, 547, 3625, 12222, 269, 19569, 364, 3117, 1235, 540, 19569, 364, 19569, 362, 630, 320, 264, 645, 3757, 2583, 19569, 364, 19569, 362, 3115, 637, 757, 1949, 630, 321, 264, 715, 3941, 19569, 364, 3115, 637, 757, 6786, 454, 2918, 269, 476, 2918, 269, 28686, 6363, 869, 11708, 19569, 364, 3955, 28947, 540, 1949, 543, 6786, 7151, 19569, 364, 966, 4433, 6661, 305, 272, 4433, 264, 294, 272, 4433, 9984, 305, 273, 4433, 264, 294, 273, 4433, 11924, 305, 274, 4433, 264, 294, 274, 4433, 264, 19569, 364, 454, 2767, 269, 476, 2767, 269, 28686, 6363, 869, 11708, 19569, 364, 595, 2444, 12184, 1062, 13332, 6516, 28686, 2095, 454, 2764, 269, 476, 2764, 269, 28686, 6363, 869, 11708, 19569, 364, 23155, 1062, 13332, 6516, 28686, 2095, 454, 3066, 269, 476, 3066, 269, 28686, 6363, 869, 11708, 19569, 364, 24720, 1062, 13332, 6516, 28686, 2095, 454, 1789, 269, 476, 1789, 269, 24700, 294, 7726, 19569, 364, 9717, 519, 1739, 3625, 6516, 267, 2721, 513, 5365, 32704, 3113, 454, 4029, 269, 476, 4029, 269, 8827, 454, 3953, 269, 476, 3953, 269, 28224, 779, 4341, 19569, 364, 1548, 286, 19569, 362, 19569, 364, 589, 4480, 585, 4227, 5365, 32704, 11708, 547, 2582, 4483, 1599, 602, 9305, 519, 3977, 540, 1062, 547, 922, 3403, 269, 1284, 1590, 1174, 930, 3334, 1354, 1210, 28224, 779, 4341, 19569, 362, 19569, 362, 19569, 362, 19569, 362, 31230, 2744, 28644, 1790, 987, 2744, 715, 2632, 537, 4221, 17787, 715, 2632, 537, 4221, 2000, 17274, 2744, 454, 3451, 269, 476, 3451, 269, 28224, 779, 4341, 19569, 364, 31230, 2744, 19569, 362, 8605, 540, 7936, 12374, 1336, 676, 2469, 998, 513, 2619, 602, 6238, 693, 513, 6843, 543, 7475, 693, 519, 1482, 6843, 267, 1739, 519, 4287, 540, 519, 5365, 2095, 267, 1510, 8429, 998, 1022, 824, 6843, 811, 982, 2899, 269, 19569, 364, 19569, 364, 19569, 364, 19569, 364, 717, 273, 4433, 264, 295, 272, 4433, 264, 717, 275, 4433, 264, 295, 273, 4433, 264, 717, 275, 4433, 264, 294, 276, 4433, 264, 295, 274, 4433, 264, 717, 275, 4433, 264, 294, 277, 4433, 264, 295, 274, 4433, 994, 4097, 269, 476, 4097, 269, 28224, 779, 4341, 19569, 364, 28644, 1790, 987, 2744, 19569, 362, 8605, 540, 12374, 1336, 676, 2469, 998, 513, 2619, 689, 519, 3403, 6843, 540, 519, 5365, 32704, 3113, 538, 519, 4287, 540, 5365, 2095, 269, 19569, 364, 19569, 364, 717, 272, 4433, 264, 294, 273, 4433, 264, 294, 274, 4433, 264, 294, 275, 4433, 264, 294, 276, 4433, 264, 294, 278, 4433, 264, 717, 272, 4433, 264, 294, 273, 4433, 264, 294, 274, 4433, 264, 294, 275, 4433, 264, 294, 277, 4433, 264, 294, 278, 4433, 994, 3374, 269, 476, 3374, 269, 28224, 779, 4341, 19569, 364, 715, 2632, 537, 4221, 17787, 19569, 362, 10753, 3591, 602, 798, 711, 723, 1022, 9136, 538, 1455, 269, 19569, 364, 31230, 717, 273, 4433, 264, 295, 272, 4433, 264, 1281, 711, 5905, 17787, 717, 275, 4433, 264, 295, 273, 4433, 1070, 717, 275, 4433, 264, 294, 276, 4433, 264, 295, 274, 4433, 264, 543, 717, 275, 4433, 264, 294, 277, 4433, 264, 295, 274, 4433, 994, 3607, 269, 476, 3607, 269, 28224, 779, 4341, 19569, 364, 715, 2632, 537, 4221, 2000, 17274, 2744, 19569, 362, 8605, 540, 12374, 1106, 1875, 339, 537, 4221, 17787, 3144, 1079, 267, 1614, 267, 2185, 267, 610, 811, 693, 513, 942, 269, 1496, 294, 273, 4433, 264, 295, 272, 4433, 264, 6012, 294, 275, 4433, 264, 295, 273, 4433, 13580, 19569, 364, 1496, 294, 273, 4433, 264, 295, 272, 4433, 264, 6012, 294, 275, 4433, 264, 294, 276, 4433, 264, 295, 274, 4433, 13580, 19569, 364, 1496, 294, 273, 4433, 264, 295, 272, 4433, 264, 6012, 294, 275, 4433, 264, 294, 277, 4433, 264, 295, 274, 4433, 13580, 19569, 364, 454, 4391, 269, 476, 4391, 269, 28224, 779, 4341, 19569, 364, 634, 4483, 1599, 267, 595, 4433, 8358, 305, 4433, 1070, 540, 513, 1062, 6719, 676, 513, 5365, 32704, 3113, 568, 595, 630, 338, 264, 717, 630, 338, 264, 815, 815, 681, 263, 521, 264, 3980, 495, 307, 31221, 737, 737, 737, 31221, 737, 815, 1297, 540, 4464, 2619, 570, 330, 815, 519, 737, 628, 4464, 910, 2619, 2744, 454, 4343, 269, 476, 4343, 269, 28224, 779, 4341, 31221, 737, 815, 4646, 676, 14874, 689, 31221, 1346, 8520, 12374, 602, 5905, 519, 737, 628, 4464, 2619, 269, 31221, 815, 476, 272, 910, 3852, 352, 8520, 12374, 1341, 3852, 352, 1875, 339, 537, 4221, 8520, 12374, 3144, 1079, 693, 513, 942, 6567, 3852, 352, 1875, 339, 537, 4221, 8520, 12374, 3144, 1614, 693, 513, 942, 1341, 3852, 352, 1875, 339, 537, 4221, 8520, 12374, 3144, 2185, 693, 513, 942, 19569, 490, 454, 4375, 269, 476, 4375, 269, 7151, 19569, 364, 8571, 519, 24700, 294, 6041, 454, 2412, 269, 476, 2412, 269, 8827, 19569, 364, 24700, 294, 454, 6078, 269, 476, 6078, 269, 8827, 454, 5655, 269, 476, 5655, 269, 28224, 779, 4341, 7726, 19569, 364, 4635, 28224, 779, 4341, 267, 1265, 519, 4483, 1599, 540, 519, 1739, 24700, 294, 454, 6246, 269, 476, 6246, 269, 8827, 454, 4510, 269, 476, 4510, 269, 11644, 476, 272, 19569, 364, 15233, 28224, 779, 4341, 547, 3489, 513, 2582, 4483, 1599, 454, 3393, 269, 476, 3393, 269, 11644, 476, 273, 476, 272, 269, 21079, 547, 513, 2582, 4483, 1599, 630, 9720, 305, 264, 476, 273, 269, 8571, 519, 24700, 294, 6041, 476, 274, 269, 15233, 28224, 779, 4341, 547, 3489, 519, 4483, 1599, 0, 1892, 4179, 2517, 1889, 13885, 1695, 5622, 2593, 692, 290, 656, 850, 591, 2142, 4461, 692, 13528, 27909, 585, 519, 19852, 543, 1219, 3005, 540, 22616, 850, 591, 2142, 4461, 896, 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 ]
[ 5049, 949, 581, 1360, 26374, 269, 5903, 539, 1934, 616, 930, 2035, 912, 268, 8073, 513, 2883, 9806, 20220, 519, 1747, 707, 4816, 666, 16005, 741, 1689, 543, 4585, 741, 2883, 9806, 1020, 936, 942, 563, 268, 32113, 707, 4816, 6582, 13075, 9072, 799, 666, 581, 1898, 547, 873, 267, 899, 9494, 585, 513, 11442, 610, 513, 7552, 563, 268, 7591, 3381, 3756, 1927, 609, 707, 4816, 602, 13599, 6666, 7245, 6791, 267, 6697, 547, 3933, 30496, 610, 634, 22505, 540, 5020, 563, 268, 6875, 707, 4816, 17365, 9140, 543, 2488, 873, 513, 3902, 2039, 547, 2611, 3330, 563, 308, 2955, 602, 950, 596, 2461, 2921, 942, 547, 4001, 707, 3214, 621, 779, 1434, 547, 2322, 1927, 707, 1582, 14013, 543, 1505, 513, 2603, 540, 891, 7391, 609, 16608, 543, 6568, 269, 10088, 2286, 513, 2603, 540, 891, 3381, 3756, 543, 5049, 609, 15131, 666, 979, 513, 1486, 26167, 1505, 547, 1818, 873, 3063, 16180, 563, 3528, 1818, 519, 1505, 540, 4974, 827, 6666, 11791, 543, 7317, 267, 596, 2461, 7674, 547, 707, 4816, 13498, 519, 4502, 540, 15931, 13075, 3664, 563, 14807, 622, 1635, 2382, 766, 454, 27736, 581, 6026, 676, 11287, 267, 865, 621, 779, 1898, 547, 812, 928, 23936, 1434, 13075, 6208, 707, 1582, 269, 9181, 547, 707, 1453, 827, 707, 2123, 13075, 25926, 543, 12172, 1946, 596, 1118, 2386, 3664, 563, 300, 1278, 543, 4651, 11129, 547, 1459, 741, 1453, 875, 835, 666, 1118, 25926, 602, 4225, 1279, 3856, 9072, 936, 2110, 3856, 10536, 269, 1280, 1383, 267, 596, 666, 12172, 519, 1259, 596, 28231, 519, 2640, 540, 476, 25002, 330, 12805, 693, 960, 267, 1118, 9541, 585, 2104, 9072, 543, 946, 5491, 6060, 547, 4020, 5491, 6060, 3140, 2250, 269, 14171, 891, 3527, 538, 13675, 540, 19920, 786, 4217, 873, 5431, 519, 5383, 540, 18177, 13075, 7245, 563, 2026, 1134, 607, 267, 538, 519, 2680, 596, 4308, 609, 707, 2123, 13075, 2566, 543, 8401, 1145, 6707, 267, 3214, 786, 24482, 1020, 519, 1379, 547, 4308, 609, 519, 9838, 4606, 4020, 1947, 269, 1635, 1373, 1930, 543, 2312, 827, 707, 13075, 3375, 6194, 267, 596, 2461, 7674, 547, 547, 1128, 650, 16268, 6666, 6208, 538, 707, 3214, 602, 949, 23231, 538, 519, 1279, 2165, 563, 305, 1168, 731, 6153, 3933, 8767, 932, 7860, 454, 2691, 707, 1453, 1118, 1434, 13075, 25926, 267, 621, 779, 1434, 547, 11760, 543, 8007, 873, 269, 898, 1223, 7654, 581, 835, 3364, 865, 2241, 607, 606, 3606, 27108, 610, 513, 11791, 7622, 3635, 269, 901, 2337, 547, 24772, 16268, 6208, 543, 547, 1397, 3214, 602, 789, 786, 1118, 513, 16268, 1860, 593, 741, 1360, 1378, 13075, 2104, 563, 15239, 11383, 267, 8007, 3884, 1406, 519, 835, 2619, 602, 666, 581, 8246, 547, 948, 609, 6666, 7245, 610, 8404, 269, 15272, 995, 1453, 5749, 1406, 24330, 676, 2883, 12587, 899, 4587, 3214, 610, 14038, 267, 2705, 1920, 2818, 685, 1164, 2298, 942, 267, 7156, 267, 543, 11913, 14696, 666, 979, 513, 1434, 3845, 2509, 8716, 16268, 6208, 563, 3528, 3257, 865, 267, 596, 2461, 7674, 547, 707, 4816, 1020, 519, 5759, 543, 6015, 789, 1058, 6023, 741, 6666, 19100, 543, 1118, 18164, 13075, 25926, 563, 13729, 2659, 5753, 5455, 585, 11773, 454, 14807, 908, 13075, 7924, 547, 3214, 568, 513, 4105, 513, 851, 540, 15970, 267, 543, 621, 3085, 1406, 991, 547, 581, 513, 25287, 269, 1635, 7674, 547, 707, 4816, 13498, 519, 11984, 1063, 2115, 543, 16858, 267, 9001, 24534, 3527, 799, 666, 581, 11791, 5266, 982, 19309, 15872, 267, 27109, 873, 1434, 1806, 609, 707, 2123, 6666, 25926, 267, 543, 14785, 16268, 6208, 267, 596, 3580, 10018, 789, 1118, 2362, 13075, 25926, 607, 789, 1020, 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 ]
[ 10774, 636, 10517, 7933, 788, 30329, 454, 5719, 623, 1120, 7637, 717, 267, 1696, 620, 269, 630, 1220, 280, 1040, 2806, 12645, 3170, 13250, 267, 543, 711, 7378, 4187, 267, 568, 2404, 547, 23731, 1580, 27695, 538, 1875, 268, 30104, 663, 4088, 545, 14968, 270, 984, 3150, 2021, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 1911, 278, 20324, 293, 30033, 27174, 11463, 454, 289, 9220, 320, 595, 700, 267, 1696, 620, 269, 630, 1220, 279, 1040, 11671, 321, 5735, 540, 13262, 268, 5715, 340, 1027, 3115, 8793, 21619, 10818, 538, 21058, 5839, 320, 13196, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 1911, 278, 4882, 6344, 3374, 268, 25484, 268, 3199, 275, 273, 22271, 454, 17764, 22080, 590, 267, 1696, 620, 269, 630, 1220, 278, 1040, 6184, 6081, 4187, 538, 23731, 1580, 22741, 515, 545, 1102, 1068, 850, 2021, 609, 1875, 1790, 8432, 1097, 10973, 9065, 776, 6794, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 6200, 277, 10768, 8807, 1068, 333, 560, 1068, 269, 1220, 278, 269, 6187, 269, 271, 3393, 454, 307, 6511, 4149, 11391, 699, 631, 267, 1696, 620, 269, 630, 1220, 278, 1040, 32018, 540, 575, 327, 516, 4802, 543, 682, 696, 514, 538, 519, 1852, 540, 10285, 1599, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 12893, 280, 270, 1822, 10482, 25148, 454, 20360, 5069, 717, 595, 267, 1696, 620, 269, 630, 1220, 276, 1040, 595, 7837, 12076, 25003, 543, 12186, 593, 26268, 821, 9577, 538, 2776, 5443, 641, 30167, 6468, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 12553, 280, 270, 12317, 335, 269, 4281, 280, 280, 454, 289, 1120, 320, 590, 700, 267, 1696, 620, 269, 630, 1220, 274, 1040, 18401, 540, 25073, 2534, 538, 2021, 609, 6198, 20968, 15401, 545, 21443, 27695, 945, 941, 5701, 609, 5042, 2623, 3797, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 6200, 277, 13478, 9826, 276, 268, 271, 2764, 273, 263, 6734, 264, 18733, 2190, 268, 276, 454, 25857, 14741, 670, 267, 1696, 620, 269, 630, 1220, 274, 1040, 12186, 540, 10841, 12643, 545, 3679, 21455, 593, 16796, 1322, 6856, 821, 2157, 538, 2550, 609, 513, 561, 1393, 531, 5123, 8919, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 6200, 277, 4882, 9826, 276, 268, 271, 2764, 273, 263, 6734, 264, 24879, 6872, 268, 276, 454, 23613, 7232, 323, 2072, 808, 654, 267, 1696, 620, 269, 630, 1220, 273, 1040, 8447, 11314, 267, 10610, 7136, 12039, 267, 543, 29191, 17419, 13081, 5606, 19910, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 11820, 278, 270, 1822, 28318, 4366, 268, 1220, 10711, 1822, 268, 1822, 1724, 454, 22069, 14137, 595, 717, 267, 1696, 620, 269, 630, 1220, 272, 1040, 7043, 610, 3810, 12150, 18492, 9979, 607, 513, 15262, 585, 1981, 540, 1826, 476, 273, 3987, 22577, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 1911, 272, 10768, 4821, 269, 30525, 269, 866, 269, 26237, 272, 454, 20360, 5069, 717, 595, 267, 1696, 620, 269, 630, 1960, 280, 1040, 595, 7837, 12076, 25003, 543, 12186, 593, 9093, 11584, 531, 9577, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 6200, 277, 13478, 16573, 280, 268, 4281, 275, 275, 263, 7176, 264, 19740, 1704, 268, 273, 454, 289, 1551, 590, 594, 267, 1696, 620, 269, 630, 1960, 276, 1040, 6052, 703, 1389, 616, 2362, 1282, 519, 561, 1393, 531, 5123, 540, 9065, 17419, 18492, 9979, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 11820, 274, 270, 1690, 322, 333, 270, 8618, 269, 272, 269, 4375, 454, 3725, 747, 2006, 631, 661, 267, 1696, 620, 269, 630, 1960, 273, 1040, 6356, 540, 8192, 3170, 593, 3259, 540, 519, 21155, 983, 5123, 540, 519, 18492, 4783, 538, 513, 6417, 2732, 4259, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 13199, 271, 10768, 576, 332, 269, 10619, 269, 276, 269, 14444, 280, 1626, 275, 454, 293, 5142, 577, 681, 661, 267, 630, 2735, 278, 1040, 10610, 3170, 267, 2367, 2117, 515, 267, 8516, 543, 12680, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 11820, 274, 270, 2135, 5112, 30394, 11594, 19544, 636, 10517, 18502, 15793, 6812, 273, 454, 25405, 1721, 628, 12789, 661, 267, 1696, 620, 269, 630, 3192, 280, 1040, 26678, 14001, 19260, 538, 11178, 9449, 10307, 1282, 936, 19256, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 14056, 273, 10768, 857, 11820, 276, 3445, 454, 295, 691, 345, 589, 808, 267, 1696, 620, 269, 630, 3192, 280, 1040, 634, 7681, 540, 8377, 609, 26983, 543, 1644, 2367, 560, 1116, 17244, 538, 2021, 269, 4179, 2517, 335, 889, 4364, 8542, 322, 6798, 8542, 27476, 8542, 8811, 10993, 270, 276, 2764, 15686, 13045, 28536, 3151, 519, 2014, 540, 12150, 5712, 543, 1016, 325, 19910, 568, 513, 9488, 1184, 269, 634, 16362, 786, 2307, 596, 827, 707, 2487, 9979, 267, 4163, 856, 513, 16634, 3367, 811, 454, 21675, 540, 12150, 5712, 9775, 2687, 547, 799, 14959, 6828, 596, 2887, 883, 543, 519, 3169, 2014, 269, 18641, 267, 3592, 782, 2665, 540, 12150, 5712, 16634, 3367, 811, 0, 306, 665, 1470, 6953, 626, 5566, 12745, 543, 5915, 1468, 1436, 540, 519, 3203, 8629, 454, 21292, 281, 338, 665, 1470, 3620, 626, 5566, 2796, 267, 1148, 267, 2219, 267, 12497, 1148, 267, 1629, 1468, 1436, 540, 606, 1148, 1843, 454, 763, 1007, 8739, 3620, 626, 5566, 2796, 540, 519, 1158, 267, 6687, 6897, 640, 267, 519, 15139, 1436, 543, 267, 1657, 782, 267, 4028, 6639, 1646, 267, 23366, 3366, 547, 513, 1689, 538, 519, 1259, 1148, 568, 8032, 269, 634, 1007, 8739, 3620, 626, 5566, 2796, 5921, 8380, 606, 1439, 547, 519, 5276, 7664, 540, 1148, 267, 1419, 16287, 621, 607, 519, 1439, 540, 1148, 269, 634, 1158, 568, 6526, 13586, 282, 519, 2757, 2081, 540, 11589, 5876, 723, 1044, 25356, 543, 3501, 539, 6639, 2504, 568, 2921, 936, 713, 1599, 269, 25392, 519, 4540, 8456, 827, 519, 1439, 540, 1148, 607, 649, 917, 621, 267, 649, 1223, 2864, 3717, 827, 519, 1439, 540, 519, 1570, 267, 1775, 4318, 1421, 519, 1439, 540, 519, 1148, 1843, 267, 855, 711, 519, 1439, 540, 519, 2856, 610, 519, 1523, 3294, 269, 9603, 547, 519, 9241, 7153, 1514, 2796, 267, 519, 2495, 540, 519, 11247, 814, 17146, 689, 519, 1570, 267, 1775, 4318, 1421, 689, 519, 1843, 547, 513, 1167, 27641, 543, 7493, 2361, 269, 769, 824, 1913, 267, 519, 1523, 267, 2856, 267, 543, 3069, 616, 3119, 282, 789, 1106, 519, 9759, 540, 519, 11247, 267, 711, 519, 1843, 3294, 269, 898, 568, 827, 519, 1249, 602, 519, 1158, 649, 2661, 538, 543, 519, 27964, 1107, 1369, 799, 11247, 568, 2813, 1107, 723, 4957, 1813, 547, 519, 27069, 4128, 267, 543, 9935, 267, 519, 1374, 540, 519, 11247, 814, 849, 4957, 269, 10417, 783, 11247, 543, 1644, 1148, 2853, 616, 519, 1655, 1806, 540, 713, 269, 3203, 3294, 814, 1831, 606, 1843, 540, 18399, 543, 1543, 618, 538, 519, 1158, 540, 513, 2413, 7082, 2486, 267, 14051, 267, 2347, 5010, 1436, 267, 543, 2442, 2528, 267, 538, 799, 2757, 11247, 607, 606, 1148, 1843, 1100, 3476, 6818, 269, 5502, 267, 538, 519, 2413, 7082, 2486, 267, 782, 568, 827, 7680, 513, 2283, 783, 543, 16990, 2680, 267, 2436, 621, 568, 513, 15805, 3643, 547, 513, 9754, 610, 11504, 606, 14266, 563, 20684, 4607, 281, 5412, 476, 1321, 267, 476, 1001, 280, 282, 9137, 7608, 281, 5130, 476, 4029, 267, 476, 1708, 271, 282, 15618, 2228, 281, 4989, 476, 1428, 267, 476, 1708, 271, 282, 5623, 2376, 454, 289, 691, 1127, 267, 17029, 663, 269, 2961, 560, 17383, 1990, 333, 752, 13960, 269, 2098, 698, 516, 321, 281, 4864, 595, 525, 732, 322, 267, 476, 2735, 280, 563, 13051, 15924, 267, 4406, 614, 269, 968, 308, 5471, 14269, 25155, 14150, 1642, 334, 579, 1654, 31343, 521, 17383, 16660, 751, 327, 14269, 25155, 651, 10063, 330, 857, 16660, 1848, 769, 661, 572, 10202, 267, 12995, 676, 6660, 334, 20795, 853, 600, 2513, 328, 24089, 267, 476, 14625, 1700, 5392, 269, 2142, 690, 2784, 281, 715, 7035, 267, 476, 3192, 275, 563, 289, 5142, 7288, 267, 772, 29992, 659, 267, 12312, 10937, 269, 968, 308, 332, 27826, 333, 739, 579, 798, 9346, 751, 528, 6359, 324, 1848, 769, 21007, 20795, 14150, 15662, 510, 12320, 752, 990, 328, 24089, 267, 7313, 329, 332, 990, 23364, 647, 341, 8145, 2940, 19804, 27826, 333, 739, 328, 267, 2098, 698, 516, 321, 267, 717, 5782, 281, 670, 648, 16379, 5652, 267, 966, 548, 525, 1299, 5975, 517, 267, 476, 1220, 276, 267, 476, 278, 268, 1240, 563, 289, 4026, 514, 267, 8841, 269, 968, 763, 7736, 540, 3203, 7869, 1848, 634, 7736, 540, 3203, 7869, 267, 29576, 543, 5403, 19640, 640, 269, 24900, 543, 5507, 281, 5839, 27908, 534, 4065, 13456, 267, 476, 2735, 277, 269, 20396, 281, 4179, 2517, 8742, 3820, 270, 1015, 269, 1911, 278, 270, 7818, 268, 272, 268, 4097, 280, 268, 9264, 6349, 268, 273, 454, 291, 27053, 267, 14880, 595, 269, 2991, 519, 7736, 540, 3203, 281, 12634, 3203, 543, 519, 19232, 540, 3778, 269, 10228, 281, 23134, 2160, 4964, 267, 476, 1960, 278, 563, 291, 27053, 267, 14880, 595, 269, 968, 9209, 4103, 543, 7464, 12085, 1848, 634, 18319, 476, 4375, 630, 3192, 274, 2567, 476, 272, 1700, 1704, 269, 20396, 281, 4179, 2517, 8742, 3820, 270, 1015, 269, 9340, 272, 10768, 269, 11260, 276, 268, 16348, 278, 269, 3192, 274, 6745, 321, 24879, 2767, 11859, 454, 291, 27053, 267, 14880, 595, 269, 769, 6206, 19536, 593, 3203, 281, 634, 3828, 12351, 11416, 267, 12995, 676, 18281, 25371, 267, 476, 4281, 1700, 10695, 269, 5507, 267, 1715, 3840, 281, 30296, 267, 13177, 1299, 14731, 6828, 267, 476, 1220, 274, 563, 291, 27053, 267, 14880, 595, 269, 968, 763, 3203, 16447, 1848, 634, 4750, 540, 13898, 476, 8618, 267, 476, 866, 630, 19751, 476, 3422, 275, 2567, 476, 6872, 272, 1700, 10019, 269, 20396, 281, 4179, 2517, 8742, 3820, 270, 1015, 269, 15996, 278, 270, 1708, 27840, 278, 454, 5719, 548, 345, 267, 15662, 377, 559, 267, 717, 520, 926, 674, 7942, 802, 269, 15662, 510, 3279, 14247, 2083, 9926, 1993, 6359, 320, 286, 590, 516, 916, 7288, 20913, 990, 857, 281, 594, 298, 2098, 528, 3570, 853, 334, 13568, 990, 328, 24089, 320, 267, 476, 1960, 276, 630, 10193, 1294, 1546, 548, 340, 2763, 717, 14792, 543, 21634, 1460, 2871, 3430, 926, 267, 1548, 568, 6138, 286, 1715, 3840, 281, 12052, 2160, 4964, 267, 476, 1960, 275, 1916, 293, 537, 322, 5435, 267, 18466, 267, 11879, 8178, 906, 267, 12995, 676, 31550, 12829, 269, 5507, 267, 1715, 3840, 281, 30296, 267, 13177, 1299, 14731, 6828, 267, 476, 1960, 275, 563, 18661, 325, 9445, 267, 25414, 269, 10417, 783, 3203, 269, 4179, 2517, 4178, 4732, 11336, 3820, 4882, 924, 11320, 335, 9762, 550, 270, 340, 22744, 338, 270, 1001, 272, 270, 4962, 270, 935, 24632, 19603, 15005, 269, 21700, 593, 4864, 476, 3066, 267, 476, 1001, 280, 563, 16675, 6199, 267, 595, 2211, 269, 968, 17457, 626, 27006, 1848, 769, 3203, 538, 7869, 267, 476, 5002, 271, 1700, 1960, 271, 267, 1323, 16262, 1108, 540, 21744, 14313, 267, 12995, 676, 8176, 26858, 543, 6754, 8381, 267, 476, 4037, 275, 1700, 2568, 269, 10228, 281, 4563, 6202, 23255, 13456, 267, 476, 1960, 273, 563, 295, 1690, 19592, 518, 267, 9410, 267, 9779, 752, 1775, 642, 3153, 269, 2142, 690, 2784, 281, 590, 1663, 385, 378, 17754, 328, 1350, 553, 23364, 267, 476, 1220, 278, 269, 630, 10193, 1294, 9410, 1261, 728, 1375, 518, 269, 9861, 543, 5384, 267, 10228, 5177, 1299, 11062, 7330, 281, 4563, 6202, 23255, 13456, 267, 476, 3422, 273, 1916, 295, 1551, 529, 267, 22189, 269, 5675, 1394, 547, 7073, 3203, 269, 2806, 532, 18484, 543, 1715, 3840, 281, 30296, 267, 13177, 1299, 14731, 6828, 267, 476, 1220, 276, 269, 20396, 281, 4179, 2517, 8742, 3820, 270, 1015, 269, 28242, 275, 270, 7818, 22903, 28143, 3583, 274, 280, 454, 295, 1122, 601, 779, 589, 652, 12060, 281, 700, 624, 999, 593, 20963, 8551, 267, 5292, 269, 476, 272, 267, 3690, 3836, 676, 570, 269, 631, 269, 12928, 2135, 269, 1715, 3840, 281, 10228, 2160, 4964, 267, 476, 3192, 276, 269, 20396, 281, 4179, 2517, 8742, 3820, 270, 1015, 269, 11820, 274, 270, 716, 8565, 270, 7818, 25171, 279, 2190, 5392, 279, 272, 269, 1504, 269, 272, 454, 3891, 728, 1375, 518, 267, 9410, 269, 2142, 527, 337, 7564, 613, 1990, 584, 11096, 2684, 773, 282, 630 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 563, 763, 1101, 4191, 540, 3750, 2681, 2242, 538, 9002, 616, 1419, 2938, 1472, 3670, 3275, 540, 2085, 950, 741, 4064, 1376, 547, 4158, 523, 689, 4544, 547, 3039, 610, 12457, 269, 1635, 519, 2085, 540, 835, 267, 1034, 9002, 723, 741, 3803, 3750, 2681, 267, 4352, 930, 2242, 949, 2049, 909, 2394, 789, 616, 1614, 1296, 2025, 563, 26502, 2334, 21478, 16685, 7822, 15448, 538, 9040, 625, 454, 763, 3259, 540, 942, 621, 3217, 585, 513, 4816, 779, 3750, 2681, 547, 1689, 543, 519, 6708, 540, 519, 1689, 666, 581, 6766, 676, 1896, 2188, 269, 2368, 540, 891, 2188, 1331, 912, 268, 21834, 281, 16685, 2681, 568, 5462, 676, 513, 1950, 16799, 540, 4719, 2188, 5293, 1524, 689, 3237, 269, 1280, 1383, 267, 952, 1312, 3237, 723, 6960, 4064, 267, 621, 568, 811, 2693, 602, 519, 1126, 786, 849, 723, 6960, 4064, 563, 268, 22452, 547, 1769, 281, 8752, 666, 12954, 519, 2504, 540, 14264, 514, 538, 519, 4064, 267, 4929, 873, 547, 4158, 523, 269, 9040, 625, 945, 6108, 811, 942, 538, 519, 3141, 949, 1995, 5488, 3750, 2681, 2242, 563, 268, 6520, 281, 16685, 2681, 2242, 2049, 1034, 6385, 1282, 519, 1101, 1032, 540, 1272, 269, 15448, 949, 3136, 909, 2394, 519, 2085, 540, 1614, 267, 855, 789, 616, 2356, 1447, 18476, 1310, 519, 2085, 540, 835, 563, 2005, 568, 1271, 547, 4063, 602, 3750, 2681, 2242, 538, 9002, 616, 513, 2067, 543, 3339, 1184, 269, 1717, 267, 538, 4686, 2665, 267, 2242, 538, 3750, 2681, 949, 5815, 513, 2564, 2783, 269, 1403, 596, 5469, 1022, 8966, 2242, 538, 707, 4816, 779, 3750, 2681, 610, 952, 596, 723, 1022, 4145, 827, 741, 3750, 1072, 267, 621, 568, 1271, 547, 5077, 513, 3782, 3318, 563, 26502, 14118, 9760, 17926, 16685, 7822, 15448, 454, 4407, 1082, 9002, 616, 4535, 609, 4544, 4064, 267, 741, 3750, 2681, 949, 1689, 936, 942, 607, 14264, 514, 2504, 4679, 269, 634, 8653, 543, 6708, 540, 891, 2242, 666, 4268, 1759, 593, 1896, 2188, 267, 1519, 912, 268, 21834, 281, 589, 4816, 779, 3750, 2681, 568, 5462, 676, 519, 4999, 540, 6090, 15110, 689, 1312, 3237, 269, 634, 8789, 5444, 11887, 519, 3750, 2681, 267, 1247, 519, 12424, 633, 5444, 666, 1267, 538, 513, 1114, 2681, 610, 12094, 269, 1717, 267, 17782, 3750, 2681, 1759, 9003, 593, 15366, 7592, 568, 711, 2141, 4977, 563, 268, 6520, 281, 1306, 9002, 1332, 543, 1020, 267, 741, 4064, 3136, 547, 3132, 14264, 514, 267, 3056, 547, 2009, 2242, 538, 3750, 2681, 269, 898, 779, 1271, 547, 4063, 602, 3750, 2681, 2242, 616, 1034, 2693, 547, 2049, 538, 519, 1101, 1032, 540, 1272, 543, 949, 3136, 2394, 519, 2085, 540, 1614, 563, 268, 22452, 547, 1769, 281, 6129, 2775, 4598, 666, 9594, 519, 2504, 540, 14264, 514, 267, 3056, 547, 2242, 538, 3750, 2681, 269, 9040, 625, 945, 6108, 811, 942, 538, 519, 3141, 949, 1995, 811, 1713, 3750, 2681, 2242, 563, 268, 2657, 281, 15742, 1072, 2175, 543, 6527, 666, 1860, 519, 2504, 540, 14264, 514, 543, 5732, 3565, 547, 2242, 538, 3750, 2681, 563, 2005, 779, 1271, 547, 3314, 602, 3750, 2681, 2242, 616, 513, 2067, 1184, 543, 711, 513, 2014, 585, 6161, 269, 1717, 267, 621, 779, 2141, 513, 1434, 2856, 547, 5077, 609, 513, 3782, 3318, 952, 596, 723, 1022, 4145, 827, 707, 4816, 779, 3750, 1072, 610, 1646, 563, 8139, 9253, 534, 514, 543, 16685, 7822, 454, 292, 6614, 2681, 538, 9002, 568, 5462, 676, 519, 2179, 543, 3892, 540, 519, 20119, 14264, 514, 538, 519, 32640, 540, 519, 3750, 269, 9253, 534, 514, 568, 513, 1950, 12249, 1500, 909, 540, 1114, 6675, 267, 543, 922, 2504, 568, 14931, 676, 2789, 6090, 563, 763, 1079, 2010, 540, 14264, 514, 602, 1860, 3750, 2681, 616, 552, 636, 601, 534, 514, 267, 799, 568, 6960, 610, 3109, 267, 543, 32176, 558, 601, 534, 514, 267, 799, 568, 26070, 3917, 3641, 269, 634, 2179, 540, 552, 636, 601, 534, 514, 543, 32176, 558, 601, 534, 514, 538, 513, 4816, 779, 4064, 11887, 741, 3750, 2681, 563, 2691, 513, 4816, 568, 4535, 267, 741, 4064, 949, 2408, 4544, 1813, 547, 519, 3668, 540, 14264, 514, 538, 519, 32640, 269, 1717, 267, 519, 8628, 3750, 2681, 568, 5462, 676, 519, 2179, 540, 14264, 514, 602, 10953, 936, 942, 269, 634, 2504, 540, 14264, 514, 538, 519, 32640, 6238, 16172, 1310, 4332, 543, 5170, 2394, 1472, 519, 2085, 540, 1614, 269, 901, 6941, 1946, 513, 4816, 779, 3750, 2681, 949, 1689, 1282, 519, 1101, 1906, 1296, 540, 1272, 563, 15650, 540, 9253, 534, 514, 543, 16685, 7822, 454, 347, 13911, 540, 9253, 534, 514, 1475, 292, 6614, 7822, 2008, 347, 292, 636, 601, 534, 514, 1475, 31342, 610, 3109, 2008, 763, 1657, 3349, 20502, 519, 1079, 2010, 540, 14264, 514, 543, 741, 2404, 3750, 4778, 269, 15706, 609, 513, 2362, 2179, 540, 552, 636, 601, 534, 514, 786, 723, 6960, 4064, 267, 1247, 1346, 609, 513, 2362, 2179, 540, 32176, 558, 601, 534, 514, 786, 723, 14402, 3750, 4778, 267, 971, 607, 4544, 610, 3039, 563, 763, 2504, 540, 14264, 514, 568, 6417, 676, 2789, 6090, 267, 1519, 744, 7563, 273, 267, 570, 312, 305, 267, 543, 670, 2207, 290, 273, 269, 29938, 538, 891, 6090, 666, 3310, 519, 2179, 543, 3892, 540, 14264, 514, 538, 519, 32640, 267, 4611, 538, 1114, 3750, 4778, 563, 20245, 2188, 267, 971, 607, 4598, 547, 7943, 267, 666, 849, 1860, 519, 2504, 540, 14264, 514, 538, 519, 32640, 543, 3565, 547, 2242, 538, 3750, 2681, 269, 1717, 267, 11976, 1404, 513, 3119, 1909, 538, 8159, 513, 4816, 779, 3750, 2681, 563, 31738, 281, 1635, 1620, 875, 14264, 514, 5540, 3750, 2681, 267, 3237, 666, 1732, 3589, 741, 4816, 779, 22638, 3750, 2681, 1759, 593, 741, 1378, 11976, 543, 1920, 1686, 563, 300, 2814, 5288, 269, 18712, 281, 13891, 6064, 532, 5871, 27801, 338, 454, 2005, 568, 513, 1455, 31605, 602, 782, 9002, 616, 4535, 609, 4544, 4064, 269, 2755, 621, 779, 3020, 602, 4544, 4064, 616, 519, 1034, 11342, 3750, 2681, 693, 4332, 267, 711, 782, 9002, 723, 4544, 4064, 563, 763, 2681, 540, 606, 10867, 779, 4064, 568, 5462, 676, 11976, 543, 568, 15110, 689, 741, 3237, 269, 634, 3750, 2681, 602, 513, 4816, 568, 4535, 609, 5673, 593, 519, 8789, 543, 12424, 633, 6090, 789, 27836, 689, 741, 3237, 563, 763, 2601, 1946, 4544, 4064, 616, 865, 1455, 538, 29507, 568, 1813, 547, 513, 3668, 540, 14264, 514, 538, 741, 32640, 269, 1306, 519, 4816, 9428, 4587, 267, 519, 2504, 540, 14264, 514, 4679, 267, 543, 519, 3750, 2681, 666, 1689, 689, 4544, 547, 3039, 267, 12457, 267, 610, 6960, 267, 4470, 593, 519, 2179, 543, 3892, 540, 14264, 514, 563, 3383, 267, 1946, 798, 9002, 723, 4544, 4064, 693, 4332, 286, 634, 2626, 6013, 538, 519, 2067, 1184, 540, 14264, 514, 2504, 269, 1715, 26978, 723, 2539, 2157, 540, 14264, 514, 538, 741, 4064, 267, 799, 2164, 538, 606, 18106, 5250, 540, 20119, 543, 3947, 873, 513, 4544, 610, 12457, 5920, 563, 29222, 5517, 281, 9040, 625, 540, 3979, 610, 7489, 16350, 616, 811, 2693, 547, 723, 6960, 4064, 693, 4332, 1813, 547, 741, 6090, 6721, 811, 14264, 514, 20119, 563, 763, 3661, 602, 782, 9002, 616, 4535, 609, 4544, 4064, 568, 1175, 835, 540, 1082, 14868, 4478, 10867, 3750, 2681, 269, 4197, 519, 11976, 543, 6211, 2188, 3297, 3750, 2681, 666, 948, 3181, 6064, 891, 1455, 20887, 543, 1683, 4977, 1344, 547, 1007, 3237, 563, 292, 6614, 7822, 20530, 2109, 281, 3657, 932, 11301, 6452, 23847, 888, 2252, 596, 2461, 513, 4166, 3562, 15515, 2385, 267, 596, 949, 581, 8049, 827, 1018, 3750, 2681, 707, 4816, 786, 723, 269, 3509, 7270, 543, 2835, 2709, 3750, 2681, 12605, 12125, 1759, 593, 519, 3750, 4778, 540, 519, 3237, 543, 22594, 269, 1717, 267, 519, 6111, 540, 891, 12125, 666, 581, 30940, 563, 4407, 11976, 4249, 513, 1713, 1909, 538, 8159, 3750, 2681, 267, 621, 779, 711, 513, 3551, 1184, 269, 16685, 2681, 568, 6766, 676, 2789, 6090, 267, 1818, 621, 2352, 547, 8308, 3589, 1018, 2681, 513, 4816, 779, 4064, 786, 581, 269, 3958, 267, 2825, 2188, 666, 849, 1404, 513, 1909, 538, 3750, 2681, 2242, 269, 22452, 547, 7943, 543, 1978, 6527, 666, 1860, 519, 2504, 540, 14264, 514, 267, 799, 666, 1689, 519, 2681, 540, 519, 32640, 563, 292, 6614, 2681, 12605, 12125, 666, 1683, 513, 11315, 7447, 267, 855, 621, 779, 1271, 547, 3314, 602, 789, 616, 711, 18174, 16513, 269, 2659, 4816, 779, 3750, 2681, 949, 1439, 909, 1373, 1114, 689, 1018, 519, 12125, 3589, 269, 5502, 540, 13461, 9003, 593, 891, 12125, 267, 2972, 519, 9983, 540, 12423, 707, 4816, 779, 3750, 2681, 607, 789, 1332, 563, 292, 6614, 7822, 29938, 543, 23532, 640, 454, 292, 6614, 2681, 4763, 568, 4241, 543, 9775, 1851, 1114, 6803, 885, 269, 634, 2681, 540, 707, 4816, 779, 4064, 568, 5462, 676, 519, 2179, 543, 1826, 540, 23416, 538, 519, 32640, 269, 634, 6477, 7695, 538, 519, 32640, 568, 5462, 676, 6090, 15110, 689, 3237, 269, 634, 11976, 540, 6477, 7695, 616, 11212, 1950, 267, 799, 2164, 538, 1585, 3750, 4778, 563, 23325, 4064, 616, 1034, 1455, 538, 1004, 540, 3864, 16350, 269, 9466, 4064, 616, 1455, 538, 1004, 540, 7489, 543, 3979, 16350, 269, 3979, 543, 7489, 2043, 666, 849, 723, 4544, 4064, 282, 2705, 267, 621, 568, 1447, 1455, 269, 22630, 543, 3039, 4064, 616, 1455, 538, 1004, 540, 8832, 543, 6239, 2342, 269, 18171, 601, 4064, 616, 1455, 538, 1004, 540, 8828, 2342, 267, 519, 5664, 5101, 267, 543, 3162, 3013, 563, 347, 20685, 5371, 640, 1475, 13349, 16685, 27413, 2008, 347, 28158, 1475, 23325, 267, 22630, 267, 5682, 267, 9466, 267, 18171, 601, 2008, 347, 2026, 1014, 1475, 31342, 267, 4563, 267, 14730, 9466, 2008, 347, 28893, 1475, 31342, 267, 14730, 9466, 267, 4563, 2008, 23277, 1497, 8109, 1475, 31342, 267, 18171, 601, 267, 5682, 2008, 16085, 1926, 1977, 1475, 31342, 267, 5682, 267, 18171, 601, 2008, 2005, 779, 1271, 547, 3314, 602, 3750, 2681, 568, 711, 5462, 676, 5198, 610, 14940, 855, 2864, 676, 519, 4999, 540, 6090, 5293, 1524, 689, 3237, 269, 4475, 267, 621, 779, 2009, 585, 513, 20169, 540, 1022, 14940, 547, 723, 1022, 3750, 2681, 563, 8139, 519, 7648, 538, 3750, 2681, 2066, 1114, 6803, 885, 568, 606, 1271, 1900, 538, 19825, 519, 4763, 540, 1004, 1472, 519, 1158, 269, 898, 568, 4986, 2110, 540, 10875, 547, 1294, 875, 519, 4778, 4334, 543, 9148, 835, 1776, 563, 20245, 11790, 543, 16685, 7822, 454, 763, 1646, 540, 3750, 2681, 568, 711, 1152, 5462, 676, 11976, 855, 568, 849, 6766, 676, 2825, 2188, 269, 2290, 540, 519, 1713, 2188, 602, 1860, 3750, 2681, 568, 7943, 4598, 269, 3194, 2982, 602, 4598, 547, 7943, 12153, 519, 2504, 540, 14264, 514, 267, 799, 3123, 519, 4064, 547, 4158, 523, 269, 9040, 625, 945, 6108, 811, 942, 538, 519, 3141, 4043, 547, 723, 18632, 3750, 4778, 982, 1346, 945, 1810, 1406, 563, 5194, 2825, 3815, 602, 7506, 3750, 2681, 568, 2242, 538, 6477, 7695, 269, 1280, 3236, 267, 4598, 547, 5061, 267, 6646, 267, 610, 3536, 666, 1291, 547, 2242, 538, 3750, 2681, 269, 4746, 267, 10172, 666, 2014, 2242, 538, 3750, 2681, 607, 519, 2504, 540, 14264, 514, 6923, 11081, 609, 2085, 267, 3056, 547, 14402, 3750, 4778, 563, 1103, 930, 2665, 267, 2564, 2175, 971, 607, 522, 4788, 11549, 24452, 949, 1860, 3750, 2681, 269, 744, 4788, 11549, 24452, 568, 513, 4719, 4524, 602, 5540, 519, 2504, 540, 14264, 514, 543, 666, 1267, 538, 4544, 610, 15454, 4064, 267, 1256, 538, 1004, 540, 3979, 16350, 563, 763, 10020, 540, 12594, 454, 301, 9173, 666, 849, 1860, 3750, 2681, 269, 1280, 1383, 267, 10438, 3536, 3638, 538, 6171, 595, 543, 15060, 268, 274, 9761, 7408, 666, 3895, 2635, 3750, 1646, 267, 799, 949, 3310, 3750, 2681, 563, 4913, 267, 621, 779, 1271, 547, 4063, 602, 4352, 2825, 2188, 666, 3310, 3750, 2681, 267, 11976, 4249, 513, 811, 1713, 1909, 269, 4475, 267, 3750, 2681, 2242, 4611, 689, 2825, 2188, 616, 2356, 5634, 543, 10151, 563, 12441, 596, 917, 602, 538, 930, 4529, 267, 621, 779, 5156, 602, 7311, 6089, 5144, 547, 513, 4816, 779, 4064, 666, 1689, 741, 3750, 2681, 286, 1717, 267, 972, 779, 1100, 3621, 2963, 547, 1489, 713, 3661, 563, 14454, 267, 1620, 519, 1764, 540, 2825, 2188, 593 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2990, 540, 12354, 6955, 1355, 2281, 729, 7466, 602, 540, 25543, 30666, 2281, 563, 293, 13967, 568, 513, 3407, 1907, 585, 16326, 3575, 6955, 6950, 543, 3533, 7421, 1804, 1591, 5095, 269, 19881, 2090, 593, 4874, 30666, 1436, 267, 5342, 1510, 1210, 674, 13967, 267, 4080, 1164, 21159, 540, 4874, 30666, 1436, 1510, 16326, 3575, 6955, 6950, 269, 1280, 3236, 267, 21159, 540, 476, 6078, 269, 278, 260, 585, 966, 4345, 838, 269, 9496, 4388, 2073, 476, 5655, 269, 274, 260, 585, 717, 1601, 2988, 1756, 818, 321, 648, 636, 5452, 2073, 543, 476, 1911, 260, 585, 623, 690, 739, 655, 517, 9348, 4802, 3762, 476, 941, 5462, 998, 519, 15694, 10203, 1505, 269, 1677, 2057, 11544, 3575, 6955, 6950, 609, 13251, 4874, 680, 6950, 610, 519, 3312, 726, 1355, 344, 7121, 267, 674, 13967, 1058, 581, 6964, 538, 891, 2090, 547, 2697, 3575, 6955, 6950, 8308, 563, 300, 1460, 6955, 6950, 267, 9967, 540, 2281, 609, 1114, 726, 1355, 344, 2157, 267, 2099, 4719, 14726, 269, 1717, 267, 519, 6708, 547, 799, 519, 5888, 540, 3575, 6955, 6950, 2242, 936, 942, 538, 2474, 540, 519, 17114, 540, 3312, 1591, 726, 1355, 344, 543, 4874, 30666, 1591, 726, 1355, 344, 3788, 7334, 269, 4340, 547, 3204, 531, 5964, 1696, 620, 1421, 2073, 3575, 6955, 1355, 2371, 616, 18633, 1813, 547, 6735, 1063, 519, 3312, 2281, 543, 519, 4874, 30666, 2281, 267, 3056, 547, 519, 17594, 540, 519, 8545, 269, 1306, 513, 1267, 267, 519, 3575, 6955, 1355, 4567, 26871, 1206, 1394, 547, 922, 3312, 726, 1355, 344, 1377, 269, 9603, 547, 519, 10848, 3238, 267, 3575, 6955, 6950, 723, 1419, 1044, 16934, 689, 2417, 18572, 610, 1353, 593, 741, 7020, 1496, 274, 267, 4391, 268, 4375, 4940, 2755, 10451, 9265, 543, 29294, 8390, 998, 4874, 30666, 1436, 568, 1134, 8153, 267, 519, 1353, 540, 3575, 6955, 6950, 814, 1044, 3908, 267, 4611, 538, 513, 20317, 540, 3370, 3332, 593, 519, 1641, 269, 1703, 568, 4867, 513, 3668, 540, 12170, 2963, 3823, 519, 30369, 3344, 540, 3575, 6955, 1355, 344, 538, 2030, 9960, 269, 4475, 267, 713, 1858, 19262, 811, 3007, 543, 2417, 7634, 538, 519, 2104, 267, 1519, 3344, 971, 607, 7607, 543, 2208, 267, 12680, 4152, 998, 519, 15385, 267, 9542, 547, 1114, 5054, 267, 543, 519, 6708, 540, 29294, 6617, 563, 763, 2079, 540, 674, 13967, 1239, 7000, 602, 715, 269, 20017, 31243, 25543, 680, 6950, 630, 275, 290, 5027, 264, 1185, 606, 6059, 5027, 1543, 540, 476, 273, 269, 6795, 13008, 476, 271, 269, 6021, 30127, 267, 1247, 12354, 6955, 6950, 4951, 513, 1079, 19507, 2333, 538, 5027, 1543, 630, 279, 290, 5027, 264, 693, 476, 276, 269, 3374, 13008, 476, 271, 269, 2190, 30127, 269, 1452, 4681, 616, 5812, 609, 519, 2164, 4080, 676, 7937, 686, 1696, 620, 1421, 1547, 634, 6059, 476, 275, 290, 5027, 1543, 585, 16262, 334, 21306, 639, 20017, 31243, 630, 27675, 11618, 281, 715, 269, 20017, 31243, 1070, 2687, 547, 7937, 686, 1696, 620, 1421, 2073, 568, 476, 273, 269, 6507, 13008, 476, 271, 269, 2767, 30127, 1210, 519, 631, 10436, 966, 1157, 619, 2890, 323, 31731, 10309, 269, 1452, 1239, 723, 1044, 3370, 543, 2895, 1882, 538, 519, 595, 17032, 918, 1168, 12567, 6538, 630, 10674, 2517, 4178, 269, 651, 342, 3820, 11305, 1998, 10774, 727, 2457, 11258, 1070, 1141, 519, 2418, 616, 4080, 607, 6059, 476, 272, 290, 5027, 267, 6697, 547, 476, 271, 269, 7597, 30127, 269, 1452, 4681, 6166, 602, 715, 269, 20017, 31243, 267, 519, 2249, 896, 7634, 538, 938, 1353, 267, 568, 513, 25543, 30666, 269, 9122, 593, 891, 1239, 267, 938, 6059, 476, 275, 290, 5027, 1543, 540, 715, 269, 20017, 31243, 8813, 1369, 519, 3370, 2039, 693, 476, 273, 269, 6795, 13008, 476, 271, 269, 6021, 30127, 269, 769, 1840, 267, 938, 1353, 4767, 602, 519, 6059, 476, 279, 290, 5027, 1543, 540, 12354, 6955, 6950, 729, 476, 276, 269, 3374, 13008, 476, 271, 269, 2190, 30127, 269, 769, 938, 8097, 14764, 267, 519, 946, 540, 897, 577, 21778, 267, 513, 15694, 1673, 12874, 1782, 8665, 267, 8507, 538, 30945, 519, 5027, 1543, 540, 715, 269, 20017, 31243, 12354, 6955, 6950, 269, 6480, 13846, 5027, 1543, 5713, 1585, 5301, 3564, 10834, 2242, 538, 726, 1355, 344, 2157, 267, 1519, 7636, 13753, 267, 4720, 267, 18105, 4094, 7497, 267, 4307, 28437, 2090, 267, 4307, 1670, 9382, 267, 8733, 543, 2825, 10832, 267, 607, 1134, 607, 12779, 984, 8344, 3466, 4586, 1607, 1353, 7152, 519, 2956, 540, 1210, 4195, 6978, 5439, 689, 538, 20117, 2030, 7410, 540, 715, 269, 20017, 31243, 543, 561, 1736, 17280, 700, 289, 4905, 547, 2327, 6325, 543, 5812, 2164, 538, 674, 13967, 2079, 269, 634, 4681, 2417, 9863, 602, 674, 13967, 568, 513, 3407, 1907, 585, 1915, 1944, 4874, 30666, 2371, 1739, 897, 577, 21778, 2126, 269, 769, 1840, 267, 674, 13967, 6087, 519, 8446, 540, 3575, 6955, 6950, 267, 513, 4305, 602, 3112, 581, 12913, 1210, 2757, 2409, 971, 607, 15694, 10203, 563, 763, 7616, 585, 713, 1353, 729, 3177, 676, 519, 7203, 1177, 752, 7033, 828, 5948, 630, 4306, 288, 264, 547, 10713, 16951, 17111, 7203, 1177, 752, 896, 6182, 1218, 3143, 269, 23834, 22077, 5881, 270, 4306, 288, 4905, 270, 1001, 280, 543, 23834, 22077, 5881, 270, 4306, 288, 270, 1708, 271, 269, 634, 4589, 1131, 899, 547, 25442, 569, 9684, 654, 307, 298, 585, 741, 21464, 9295, 547, 519, 2030, 2326, 1031, 538, 713, 1382, 563, 277, 269, 27483, 295, 27633, 685, 28132, 6020, 289, 308, 16739, 454, 5472, 4589, 1500, 8101, 7418, 547, 519, 17748, 543, 1374, 267, 11601, 540, 1239, 267, 610, 2079, 543, 7664, 540, 1239, 282, 3576, 851, 538, 26004, 519, 2376, 610, 2847, 2358, 621, 9691, 585, 1271, 7214, 1543, 282, 8815, 547, 10505, 547, 519, 1699, 4760, 282, 5795, 3803, 13170, 540, 519, 4528, 547, 581, 3370, 282, 543, 8815, 547, 581, 18177, 585, 782, 3344, 540, 519, 960, 269, 2353, 519, 4589, 616, 14718, 547, 581, 606, 2278, 607, 829, 519, 4139, 9730, 540, 6481, 4750, 3798, 6002, 4170, 270, 7666, 573, 3894, 563, 278, 269, 12164, 14566, 2975, 4811, 5508, 29206, 12239, 454, 763, 4589, 1867, 1100, 2883, 610, 1022, 824, 7526, 540, 1719, 538, 713, 960, 563, 279, 269, 661, 8025, 13965, 6673, 24165, 309, 28940, 454, 20685, 923, 13170, 729, 711, 2838, 585, 713, 1353, 267, 607, 621, 1705, 711, 4125, 6901, 593, 2831, 610, 1480, 5396, 563, 280, 269, 667, 25353, 20724, 288, 6579, 5723, 6579, 14510, 454, 5472, 1239, 5833, 610, 9916, 538, 713, 1353, 616, 3769, 538, 713, 12377, 563, 1015, 269, 29706, 13993, 23360, 2207, 24912, 10691, 292, 454, 1607, 4760, 3788, 9243, 609, 2543, 547, 11758, 12302, 6811, 538, 3370, 12250, 30901, 563, 275, 269, 1684, 548, 385, 378, 601, 808, 267, 13983, 559, 16852, 828, 808, 267, 14181, 320, 808, 269, 10046, 11118, 5852, 609, 2371, 281, 2304, 7650, 269, 769, 281, 23044, 7261, 339, 5852, 609, 7233, 19204, 5811, 540, 2637, 525, 267, 26537, 22199, 543, 2637, 2345, 269, 5125, 281, 310, 13704, 13305, 6224, 7638, 25419, 717, 3387, 295, 543, 3213, 5919, 1220, 278, 269, 476, 6078, 268, 4792, 269, 1496, 24340, 2639, 276, 269, 667, 262, 295, 1180, 339, 700, 267, 670, 1993, 974, 631, 267, 8709, 645, 1442, 560, 2801, 548, 661, 267, 2274, 639, 700, 269, 10241, 540, 2095, 11118, 5852, 538, 2030, 21454, 585, 11646, 2450, 8990, 267, 7020, 543, 12214, 4567, 269, 20703, 7233, 11202, 565, 476, 1001, 272, 282, 1321, 281, 279, 1428, 268, 2764, 269, 1496, 24340, 2639, 1556, 269, 1621, 18040, 267, 14208, 654, 306, 267, 700, 532, 918, 295, 269, 12186, 540, 897, 577, 21778, 2126, 593, 24466, 7648, 540, 3026, 565, 600, 541, 1188, 807, 20017, 31243, 269, 2271, 808, 3397, 878, 3353, 565, 476, 1708, 272, 282, 1704, 281, 5325, 268, 5780, 563, 1428, 269, 19300, 340, 27699, 267, 774, 30865, 1690, 631, 267, 22186, 2231, 534, 918, 269, 5027, 10868, 7014, 585, 2371, 609, 1164, 2157, 540, 6281, 31571, 543, 30713, 30828, 1510, 1210, 5277, 9436, 543, 4307, 565, 269, 4959, 305, 301, 20703, 22776, 476, 1001, 273, 282, 1001, 273, 281, 13078, 271, 5392, 269, 1496, 24340, 2639, 1626, 269, 2871, 334, 962, 267, 18708, 717, 267, 16441, 962, 267, 9149, 667, 267, 2871, 334, 2098, 269, 589, 6476, 540, 1114, 2409, 585, 8497, 2030, 7636, 2326, 543, 519, 1198, 540, 28811, 5027, 593, 546, 323, 305, 4696, 15971, 269, 7233, 667, 1392, 476, 1001, 279, 282, 2412, 281, 11793, 268, 1626, 269, 1496, 24340, 2639, 866, 269, 30709, 5451, 286, 293, 267, 13198, 286, 534, 990, 5451, 300, 267, 570, 286, 20795, 527, 601, 808, 267, 7200, 516, 10098, 808, 267, 14181, 320, 808, 269, 717, 22318, 565, 2389, 8972, 6046, 7080, 5014, 910, 606, 3608, 11091, 1505, 585, 2095, 11118, 6248, 2079, 540, 2030, 5439, 269, 26537, 25593, 1763, 476, 1001, 273, 282, 736, 281, 24062, 268, 1428, 269, 1496, 24340, 2639, 2537, 269, 26172, 1601, 518, 631, 267, 2549, 517, 589, 267, 700, 601, 2917, 570, 267, 1261, 828, 548, 5174, 832, 661, 269, 16214, 540, 8417, 540, 2095, 11118, 5852, 538, 16326, 606, 15710, 30666, 344, 538, 10568, 1210, 771, 1941, 545, 543, 546, 527, 601, 657, 1941, 545, 10568, 268, 787, 324, 1840, 3515, 269, 7261, 339, 5852, 476, 1960, 276, 282, 2641, 281, 4343, 278, 268, 11152, 269, 1496, 24340, 2639, 1839, 269, 8895, 3630, 603, 667, 310, 267, 19258, 657, 808, 267, 1684, 548, 29992, 808, 269, 10046, 11118, 5852, 543, 1591, 18570, 538, 2030, 24684, 269, 769, 281, 306, 9383, 541, 15829, 267, 9375, 269, 10046, 7261, 339, 5852, 538, 30911, 269, 10228, 281, 23682, 5112, 2160, 4964, 282, 1220, 276, 269, 476, 29720, 268, 27088, 269, 1496, 24340, 2639, 2918, 269, 13983, 8811, 21310, 808, 267, 570, 2114, 577, 15444, 267, 7200, 516, 10098, 808, 290, 269, 17437, 5027, 1543, 6482, 269, 769, 281, 291, 1961, 385, 378, 601, 808, 267, 9375, 269, 10046, 7261, 339, 5852, 609, 7233, 19204, 5811, 540, 2637, 525, 267, 26537, 22199, 543, 2637, 2345, 269, 5125, 281, 310, 13704, 13305, 6224, 7638, 25419, 717, 3387, 295, 543, 3213, 5919, 1220, 278, 269, 476, 6858, 268, 9083, 269, 1496, 24340, 2639, 2764, 269, 808, 539, 337, 2763, 329, 322, 5414, 330, 594, 267, 590, 2993, 342, 1231, 6390, 661, 269, 27817, 543, 5452, 607, 2326, 585, 2095, 11118, 6248, 16759, 540, 519, 11646, 2450, 540, 476, 1556, 14472, 19687, 29762, 2249, 5627, 5027, 3613, 8724, 20127, 269, 808, 15636, 476, 1001, 271, 282, 1001, 271, 281, 280, 1789, 279, 4817, 269, 1496, 24340, 316, 0, 3383, 596, 1616, 547, 581, 513, 12963, 11719, 626, 269, 1411, 2461, 19832, 676, 519, 1390, 7164, 540, 519, 2634, 543, 616, 6899, 2324, 609, 1312, 1453, 543, 741, 3237, 269, 2913, 779, 3181, 6064, 519, 1857, 8226, 14868, 543, 2285, 621, 547, 596, 2786, 269, 901, 568, 519, 4641, 540, 12963, 11719, 344, 563, 8702, 547, 938, 1985, 3888, 618, 538, 1924, 1411, 21763, 547, 2142, 269, 769, 713, 3126, 267, 649, 5031, 513, 1808, 20614, 1369, 4915, 547, 948, 596, 6430, 952, 621, 779, 513, 1434, 3514, 585, 596, 269, 1411, 666, 1265, 519, 824, 32258, 593, 938, 1924, 1411, 21763, 1677, 2142, 5816, 7121, 610, 13334, 1404, 4289, 563, 1432, 1772, 513, 17925, 27096, 626, 888, 303, 8824, 11719, 344, 6212, 593, 519, 5868, 543, 2126, 540, 2175, 7133, 519, 2634, 267, 11983, 10260, 267, 13285, 267, 543, 6091, 538, 12256, 267, 1453, 267, 543, 10708, 269, 634, 3694, 543, 7423, 540, 519, 20614, 2882, 14331, 267, 17465, 543, 20560, 267, 19548, 25097, 344, 267, 2634, 7063, 267, 543, 11095, 8488, 563, 763, 960, 666, 849, 1331, 1382, 610, 2126, 540, 1950, 543, 2189, 2665, 267, 971, 607, 18116, 267, 512, 545, 4713, 267, 3207, 4713, 267, 29648, 31100, 4713, 267, 11763, 610, 16991, 29363, 4345, 267, 30564, 29363, 14527, 267, 2871, 650, 1014, 4446, 516, 267, 8229, 7063, 267, 543, 6198, 11719, 545, 4713, 563, 763, 20614, 568, 1454, 899, 2937, 11719, 344, 267, 4849, 596, 4309, 476, 273, 547, 476, 274, 1296, 540, 2489, 12963, 2866, 538, 1840, 547, 2489, 11719, 344, 543, 1126, 11719, 344, 2866, 563, 1103, 12963, 338, 2866, 267, 7264, 1451, 827, 519, 1585, 5933, 540, 1646, 267, 689, 9002, 547, 1453, 547, 10708, 267, 799, 568, 1631, 909, 2394, 519, 2085, 540, 476, 1839 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 711, 2119, 547, 3314, 621, 563, 1432, 568, 12443, 6856, 28577, 286, 1215, 12443, 6856, 568, 17214, 543, 4706, 16544, 454, 1103, 2110, 267, 4874, 6856, 568, 5068, 269, 12443, 6856, 325, 5419, 568, 513, 10991, 5958, 2813, 676, 16345, 4874, 6856, 11103, 1927, 269, 12443, 6856, 11103, 616, 519, 1587, 540, 513, 3114, 5114, 1063, 5755, 267, 19386, 267, 2011, 267, 543, 1216, 269, 3502, 1152, 568, 4874, 6856, 6508, 689, 1875, 3146, 2908, 762, 2200, 267, 855, 519, 1184, 540, 10868, 689, 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 ]
[ 31733, 607, 1134, 607, 9823, 5203, 525, 267, 2638, 856, 938, 7121, 11331, 968, 4467, 923, 892, 1141, 596, 786, 12398, 1022, 1915, 596, 2461, 5461, 538, 543, 596, 786, 581, 2111, 547, 1174, 875, 547, 2721, 873, 269, 0, 763, 1967, 540, 519, 1648, 5912, 3340, 606, 13778, 8112, 540, 1062, 3334, 543, 1439, 9557, 2429, 519, 1648, 7470, 1524, 547, 519, 3892, 7470, 1377, 269, 634, 11558, 540, 713, 3810, 7856, 1062, 786, 2693, 581, 791, 24411, 1510, 630, 322, 739, 268, 264, 324, 2310, 1344, 543, 2792, 2029, 269, 901, 12857, 1419, 2275, 1243, 3354, 2152, 883, 519, 2565, 5989, 269, 2311, 519, 1482, 942, 267, 811, 14479, 543, 811, 1950, 3301, 543, 8800, 2488, 513, 1713, 2333, 538, 4323, 2627, 543, 4598, 269, 1717, 267, 538, 2259, 543, 538, 24243, 267, 1082, 2500, 8878, 6127, 267, 4323, 3713, 687, 543, 4027, 4485, 2907, 2291, 267, 855, 741, 2953, 543, 6297, 6388, 568, 1419, 2808, 607, 1932, 14427, 269, 634, 14590, 1382, 2516, 693, 519, 6052, 6997, 476, 273, 269, 271, 616, 4061, 3384, 543, 10478, 585, 3226, 2241, 543, 3608, 2081, 547, 2936, 811, 3354, 585, 519, 1648, 1949, 540, 519, 2104, 563, 763, 8232, 6997, 6052, 267, 4092, 538, 519, 590, 5319, 7704, 328, 6717, 2679, 267, 5713, 607, 606, 8097, 3760, 585, 6880, 31281, 2931, 543, 8878, 2994, 269, 634, 2978, 568, 1031, 547, 30712, 6937, 1510, 519, 1981, 540, 1483, 2168, 3441, 538, 513, 17120, 2987, 7308, 2000, 17274, 9183, 269, 1677, 798, 713, 267, 519, 2168, 3334, 630, 13388, 17081, 267, 3859, 5044, 267, 6007, 4859, 267, 4756, 6453, 15725, 22155, 267, 543, 4027, 3937, 264, 616, 20533, 1210, 1483, 6066, 3631, 269, 8307, 519, 1852, 1949, 2838, 585, 3354, 2090, 616, 13234, 538, 519, 1483, 1158, 269, 2991, 519, 3441, 1761, 568, 18481, 6956, 267, 519, 3804, 568, 547, 900, 3634, 543, 6707, 9718, 1996, 6880, 3430, 2931, 1369, 519, 824, 6052, 6997, 476, 273, 269, 271, 6703, 267, 1932, 269, 769, 713, 1259, 267, 8878, 3800, 616, 1373, 21503, 538, 5051, 10853, 5054, 543, 666, 4196, 607, 513, 1909, 2203, 585, 1648, 1062, 12427, 269, 0, 1607, 6825, 8833, 540, 10168, 1369, 853, 656, 517, 779, 20116, 585, 2021, 779, 27049, 666, 581, 30833, 676, 19722, 689, 513, 4484, 540, 1200, 338, 547, 519, 9375, 540, 519, 2817, 26913, 9208, 269, 769, 713, 4484, 267, 853, 656, 517, 10645, 602, 968, 1492, 11347, 2021, 540, 519, 4182, 892, 1185, 2944, 741, 1655, 547, 1863, 968, 1492, 2258, 549, 5608, 855, 968, 553, 519, 18477, 10766, 547, 3540, 2924, 568, 7444, 3001, 593, 922, 31963, 267, 621, 3587, 513, 3978, 2243, 2436, 1496, 1492, 11347, 2021, 540, 519, 4182, 316, 1185, 1732, 1796, 11735, 543, 1294, 2048, 306, 14781, 685, 3802, 883, 519, 10806, 1101, 1547, 892, 6341, 2692, 729, 1031, 607, 513, 3541, 690, 2218, 2165, 585, 3979, 1977, 454, 1607, 3350, 10692, 585, 519, 1318, 585, 2021, 547, 8917, 1317, 2021, 941, 17792, 519, 11180, 2924, 602, 941, 2016, 547, 2367, 543, 941, 7142, 547, 1445, 593, 519, 1381, 540, 6469, 640, 269, 634, 3350, 3323, 538, 519, 3735, 22733, 2540, 2705, 621, 729, 17105, 1282, 519, 5822, 4279, 21220, 23818, 950, 6963, 5322, 3323, 11543, 8560, 269, 634, 27049, 3350, 729, 29211, 676, 519, 20552, 3350, 1317, 8474, 5795, 2021, 513, 2601, 547, 26595, 585, 513, 5094, 2014, 269, 901, 729, 513, 1007, 6963, 3350, 267, 7429, 2021, 779, 27049, 543, 20552, 267, 799, 1312, 1185, 5072, 602, 941, 607, 2620, 607, 1346, 540, 519, 2197, 779, 267, 543, 729, 2189, 1317, 540, 519, 29099, 3768, 655, 7095, 6114, 602, 2486, 543, 922, 1004, 2746, 539, 609, 269, 9521, 20552, 543, 2021, 779, 27049, 267, 519, 28357, 543, 4050, 527, 550, 10706, 6963, 3350, 1705, 711, 5531, 8560, 454, 289, 691, 517, 1185, 606, 4550, 1606, 18561, 6644, 543, 2021, 945, 1185, 8369, 1394, 1287, 941, 2907, 1085, 1941, 539, 267, 865, 27262, 729, 4166, 1577, 979, 689, 1200, 2816, 585, 1373, 1932, 11786, 269, 27262, 1287, 4682, 1394, 547, 1200, 1753, 4092, 538, 1715, 4789, 547, 3136, 1200, 5784, 602, 1185, 20335, 1200, 17991, 538, 6115, 667, 5861, 269, 1879, 476, 5908, 272, 18202, 1472, 267, 1352, 6410, 1394, 547, 6115, 667, 5861, 269, 634, 1977, 6406, 2782, 814, 1175, 7745, 856, 543, 19258, 517, 729, 835, 540, 519, 1101, 13538, 20898, 909, 693, 519, 1102, 3305, 776, 547, 948, 519, 20754, 7980, 563, 12024, 1082, 3979, 1977, 2367, 267, 930, 540, 519, 2021, 682, 9464, 693, 519, 4316, 585, 7045, 676, 32380, 10283, 547, 4339, 519, 3540, 2112, 269, 16024, 2103, 723, 632, 7757, 5176, 476, 7742, 4775, 7980, 945, 15548, 538, 519, 3540, 2112, 269, 11683, 640, 540, 891, 3979, 1977, 2021, 8678, 519, 4339, 609, 741, 5256, 14077, 610, 8152, 27512, 543, 741, 6981, 729, 12592, 676, 3875, 2188, 971, 607, 19818, 344, 585, 7045, 267, 519, 7287, 547, 13173, 741, 535, 1014, 322, 2946, 525, 267, 11428, 547, 7118, 2724, 585, 741, 3885, 1851, 1866, 630, 7922, 656, 517, 543, 654, 833, 2676, 763, 2021, 779, 2924, 3350, 6368, 3459, 1472, 519, 4571, 476, 5197, 271, 338, 269, 901, 729, 849, 1472, 519, 942, 3109, 1004, 941, 10437, 269, 16828, 267, 1310, 519, 3540, 2112, 729, 936, 543, 8474, 729, 1500, 10363, 267, 519, 9050, 18818, 14821, 729, 5293, 267, 799, 5795, 782, 2367, 519, 1318, 547, 8917, 269, 3509, 2021, 941, 606, 13499, 676, 713, 269, 10374, 569, 1310, 454, 7628, 2622, 2782, 594, 267, 11923, 941, 25945, 689, 1312, 1346, 2907, 538, 519, 8808, 3924, 607, 1134, 607, 19742, 4600, 543, 6039, 607, 606, 1898, 851, 540, 519, 15875, 17086, 269, 3509, 2021, 8067, 1229, 547, 6443, 519, 966, 4696, 1412, 338, 630, 14157, 27035, 22707, 5489, 16670, 1070, 4888, 290, 630, 6635, 3240, 29237, 17620, 1070, 543, 674, 3198, 312, 1412, 338, 630, 5575, 22707, 16711, 14717, 2674, 787, 1040, 2782, 3028, 729, 2182, 267, 13943, 543, 1419, 13249, 269, 744, 2091, 553, 519, 11923, 5185, 4049, 4365, 543, 22520, 540, 2596, 2200, 267, 1279, 3108, 693, 960, 543, 2370, 942, 585, 9397, 269, 1452, 2021, 9863, 741, 2702, 547, 10929, 2168, 23434, 3160, 547, 1346, 28815, 676, 8165, 2367, 543, 16641, 519, 12503, 540, 8396, 3871, 563, 763, 22303, 3459, 1282, 519, 1977, 6406, 2782, 269, 634, 3350, 1185, 4503, 11610, 1813, 547, 2021, 7432, 741, 3007, 547, 948, 538, 1022, 1259, 789, 1223, 609, 7526, 1063, 519, 2829, 1813, 547, 519, 2112, 269, 2991, 519, 2112, 729, 936, 972, 729, 2943, 1776, 1305, 3724, 585, 2021, 269, 2311, 713, 942, 519, 3390, 540, 13359, 2924, 585, 3109, 2367, 729, 16109, 543, 2968, 519, 1445, 540, 519, 2486, 269, 901, 3357, 538, 1063, 519, 2021, 779, 2924, 3350, 563, 9515, 693, 1101, 6799, 713, 4661, 547, 519, 1004, 602, 13984, 519, 15007, 540, 519, 2817, 1977, 19716, 22206, 14141, 5948, 269, 901, 4633, 7444, 3262, 547, 519, 1964, 540, 519, 2136, 2829, 543, 1352, 2968, 835, 540, 519, 4128, 1126, 4074, 729, 11658, 269, 3509, 1004, 4718, 1200, 607, 513, 1390, 5869, 585, 4543, 519, 1453, 602, 941, 2324, 269, 22398, 2917, 6799, 782, 1614, 17720, 2994, 281, 31672, 267, 27291, 267, 543, 2619, 657, 563, 18131, 779, 3350, 729, 513, 3350, 602, 4957, 519, 2898, 1158, 269, 898, 8118, 909, 1004, 779, 4064, 543, 519, 5784, 593, 875, 2021, 1058, 581, 5701, 269, 4438, 713, 8717, 267, 2021, 3576, 851, 538, 519, 24431, 18561, 3350, 12423, 602, 789, 5185, 15746, 6251, 547, 1753, 269, 1358, 5433, 602, 789, 616, 711, 1500, 547, 3251, 693, 1753, 543, 1491, 1416, 540, 1453, 267, 855, 547, 979, 856, 538, 519, 1158, 543, 798, 519, 1919, 602, 519, 2367, 1223, 798, 269, 4475, 267, 607, 942, 4682, 593, 2021, 3323, 547, 1491, 851, 538, 1114, 1919, 899, 7311, 585, 6009, 267, 543, 3478, 741, 2069, 563, 7437, 519, 654, 305, 300, 267, 2558, 604, 956, 568, 2111, 547, 2303, 602, 3794, 5684, 749, 2729, 538, 513, 2486, 540, 2021, 11543, 519, 2702, 547, 2149, 1142, 824, 543, 2933, 676, 8165, 585, 741, 5191, 543, 2924, 269, 6736, 519, 11475, 543, 9993, 5116, 593, 2021, 1759, 593, 741, 4008, 267, 789, 1869, 8087, 607, 835, 547, 2744, 7862, 269, 2558, 604, 956, 3357, 856, 538, 519, 14206, 2540, 543, 519, 1650, 14550, 606, 29880, 3929, 2078, 1063, 513, 9310, 7008, 547, 799, 11427, 269, 19159, 3587, 513, 14353, 538, 11318, 6004, 269, 19159, 269, 634, 22602, 585, 519, 12638, 2013, 616, 3957, 6004, 269, 22642, 543, 6004, 269, 670, 1446, 267, 543, 789, 1223, 711, 1265, 1022, 10881, 547, 20903, 519, 11427, 269, 19159, 563, 16248, 1004, 689, 1114, 14797, 782, 723, 1114, 3344, 540, 519, 1977, 14134, 269, 634, 1762, 7911, 3957, 6424, 22695, 520, 578, 689, 2342, 568, 2713, 519, 1272, 1247, 1010, 4651, 568, 546, 20621, 538, 519, 4057, 2324, 1272, 585, 1175, 513, 2241, 4062, 540, 1426, 865, 1010, 1920, 666, 723, 519, 1655, 1272, 269, 15516, 269, 5453, 520, 2917, 568, 689, 4639, 4000, 267, 1141, 1352, 729, 32043, 11474, 543, 2968, 513, 10553, 267, 855, 3533, 7691, 602, 1352, 6068, 519, 18459, 543, 666, 2965, 2328, 2770, 1836, 269, 1717, 267, 972, 568, 849, 6004, 269, 25362, 577, 659, 945, 5206, 827, 10707, 547, 32762, 6816, 543, 3843, 547, 1205, 20829, 519, 10935, 547, 1205, 6251, 547, 519, 3039, 14799, 267, 855, 1185, 547, 960, 519, 1964, 540, 1010, 1272, 543, 666, 1406, 2731, 2661, 519, 1977, 1272, 646, 4941, 269, 5272, 2582, 835, 540, 891, 15023, 723, 5030, 476, 274, 1114, 2081, 538, 3013, 282, 2713, 1055, 540, 2576, 3116, 2724, 267, 4742, 1732, 538, 1272, 543, 16734, 1018, 596, 2965, 1616, 547, 798, 538, 1272, 267, 543, 2348, 547, 960, 1169, 1554, 538, 707, 1272, 899, 1034, 540, 519, 4961, 2221, 563, 24916, 519, 811, 7986, 4563, 5256, 3401, 540, 519, 6406, 7126, 11873, 1312, 3109, 543, 3043, 2021, 5129, 606, 1271, 1909, 538, 519, 6560, 585, 7292, 7862, 269, 6468, 779, 2833, 538, 519, 6406, 7126, 11873, 666, 2995, 721, 513, 2603, 827, 519, 2729, 540, 9058, 2021, 543, 741, 2702, 547, 2744, 1379, 538, 519, 3350, 2509, 7862, 269, 4014, 28266, 20088, 543, 11759, 1777, 320, 8845, 3751, 941, 2101, 2021, 3401, 540, 519, 3350, 267, 972, 941, 3875, 824, 2021, 602, 5129, 1883, 5107, 538, 519, 4339, 585, 7862, 267, 971, 607, 11875, 320, 22823, 269, 11875, 320, 22823, 10692, 585, 3540, 2924, 593, 519, 4395, 3515, 585, 936, 3368, 513, 2540, 269, 11875, 320, 22823, 729, 4535, 538, 7439, 27714, 267, 9098, 267, 538, 476, 5002, 274, 543, 8057, 909, 538, 9741, 2023, 267, 3345, 10491, 563, 1103, 519, 2053, 3056, 909, 543, 1282, 519, 3540, 2112, 267, 519, 2924, 543, 5107, 540, 2021, 3357, 547, 513, 2629, 7432, 1448, 269, 634, 2197, 729, 5258, 676, 519, 1888, 540, 8474, 676, 519, 13524, 2540, 269, 769, 2698, 267, 2185, 2929, 3979, 4892, 941, 1869, 538, 6125, 720, 267, 609, 1079, 2929, 540, 873, 1373, 2021, 269, 4563, 2021, 6038, 6785, 602, 267, 593, 2901, 2427, 540, 519, 2112, 267, 1818, 2386, 519, 9769, 729, 12873, 729, 519, 1283, 10862, 269, 0, 288, 2367, 779, 2924, 1895, 814, 1572, 585, 16601, 533, 24471, 4152, 540, 782, 9002, 1310, 2229, 5515, 7000, 3592, 476, 7785, 454, 26108, 568, 513, 2603, 811, 1950, 982, 621, 5654, 267, 972, 616, 513, 1906, 3137, 555, 320, 3374, 1103, 2489, 267, 645, 31956, 3962, 6413, 1062, 1207, 903, 689, 513, 18261, 267, 589, 7999, 808, 4157, 545, 281, 10910, 2433, 10910, 26898, 616, 1459, 538, 1169, 1973, 267, 524, 267, 543, 9474, 2010, 267, 19546, 8833, 918, 276, 723, 519, 1482, 19346, 2497, 607, 646, 1706, 514, 543, 646, 1706, 534, 23253, 267, 744, 19985, 476, 273, 267, 6258, 811, 827, 519, 1114, 2010, 540, 1973, 267, 769, 1840, 547, 519, 589, 543, 645, 26898, 267, 4014, 596, 1152, 917, 540, 519, 10910, 7474, 3123, 968, 295, 655, 32673, 2068, 540, 519, 20169, 892, 476, 1421, 1439, 18201, 4345, 267, 513, 1973, 1895, 568, 2901, 2318, 610, 2942, 563, 5472, 10552, 12851, 547, 513, 2101, 1895, 281, 589, 267, 1226, 529, 574, 18442, 814, 1044, 4080, 547, 2014, 1034, 1480, 10108, 267, 543, 918, 593, 519, 454, 9616, 281, 28791, 8612, 267, 901, 1062, 2882, 5631, 667, 267, 1548, 568, 10910, 10552, 6828, 286, 15907 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 7343, 754, 7781, 693, 1314, 807, 2164, 538, 28478, 5652, 267, 796, 1723, 867, 3990, 5322, 540, 519, 17873, 267, 607, 952, 1142, 4887, 941, 2324, 10446, 689, 519, 1866, 269, 2558, 684, 5632, 693, 1314, 807, 2164, 538, 2022, 1116, 16132, 282, 32376, 16132, 568, 28955, 607, 513, 4524, 569, 267, 2647, 2861, 32376, 609, 22522, 3723, 17568, 563, 3719, 585, 6089, 543, 1965, 23569, 2860, 267, 519, 1981, 4679, 267, 23344, 5594, 267, 609, 1022, 4568, 4616, 269, 3194, 3370, 538, 5437, 7000, 602, 1063, 476, 1001, 276, 543, 476, 1001, 280, 267, 7050, 4568, 946, 8507, 538, 10199, 476, 9610, 267, 1822, 7972, 829, 1032, 538, 519, 2136, 2276, 269, 6168, 476, 2412, 2600, 540, 1346, 7972, 1185, 8650, 3123, 267, 899, 1286, 26301, 267, 8914, 902, 543, 4630, 15969, 563, 19604, 10542, 2657, 18248, 454, 2005, 949, 849, 2333, 519, 1981, 540, 7181, 543, 18558, 11871, 269, 4635, 835, 610, 811, 540, 1896, 2010, 540, 5626, 11257, 267, 16895, 666, 948, 1004, 2232, 5626, 2152, 3238, 538, 741, 1966, 6704, 269, 589, 1297, 540, 891, 11257, 267, 1519, 5042, 15515, 24173, 12003, 1983, 2126, 543, 30973, 19349, 3797, 267, 941, 2919, 676, 16895, 269, 16952, 11257, 1331, 476, 1321, 28157, 1795, 10949, 4485, 602, 4217, 1346, 609, 6704, 2042, 538, 1210, 1582, 25298, 3292, 971, 607, 15850, 923, 32088, 1547, 1160, 14075, 539, 4568, 946, 814, 513, 3978, 1198, 593, 5176, 1169, 1418, 538, 519, 1560, 269, 2755, 930, 2360, 616, 26464, 267, 1082, 666, 581, 6378, 936, 942, 609, 519, 1318, 2126, 543, 1416, 563, 288, 1713, 8167, 540, 519, 2068, 11411, 30289, 547, 4568, 4616, 14340, 689, 16662, 30102, 543, 18532, 7063, 267, 1519, 1346, 1813, 547, 4155, 6808, 26301, 267, 5208, 267, 543, 11980, 269, 674, 7614, 4568, 5829, 7063, 4043, 547, 2049, 538, 5266, 7820, 2085, 2516, 269, 15850, 568, 513, 28400, 5562, 6219, 609, 13829, 26148, 3601, 602, 814, 1044, 4922, 1031, 538, 1082, 4529, 585, 5553, 269, 634, 5739, 946, 540, 4568, 3123, 513, 1164, 11411, 540, 2068, 543, 814, 1713, 1514, 543, 2804, 4539, 269, 2637, 525, 267, 1604, 543, 2732, 666, 3310, 2436, 513, 1268, 568, 12155, 547, 1020, 606, 4568, 5829, 2068, 267, 1247, 2188, 971, 607, 2085, 267, 2597, 543, 3023, 666, 1764, 4568, 779, 811, 7525, 2360, 269, 15142, 728, 568, 10583, 547, 581, 476, 272, 540, 1152, 476, 278, 8213, 2126, 7740, 538, 519, 2136, 2276, 547, 3180, 513, 476, 274, 269, 278, 6789, 4456, 13995, 607, 1134, 607, 12242, 20774, 2787, 689, 27334, 293, 4139, 543, 634, 17434, 8189, 269, 6271, 5929, 4466, 540, 4568, 883, 343, 1709, 568, 693, 1314, 807, 267, 538, 922, 16289, 7781, 267, 32376, 267, 543, 959, 684, 5632, 3029, 563, 1432, 1772, 15850, 1143, 888, 2704, 4022, 6057, 666, 3533, 3541, 841, 2576, 779, 3853, 543, 9909, 585, 519, 2104, 269, 1717, 267, 596, 1810, 1406, 723, 547, 6336, 4126, 543, 3136, 1524, 519, 2619, 540, 9552, 563, 8448, 7218, 1522, 1616, 547, 556, 268, 10938, 519, 3318, 1158, 269, 15850, 8213, 666, 581, 513, 588, 22824, 3625, 267, 855, 621, 3085, 1406, 8209, 2061, 596, 689, 2348, 513, 3811, 4876, 1586, 610, 585, 519, 1101, 942, 269, 4438, 2126, 267, 24784, 666, 948, 596, 1544, 585, 519, 2104, 543, 3605, 1018, 707, 3483, 568, 538, 1272, 269, 15531, 713, 3483, 666, 18663, 7218, 547, 1205, 2635, 585, 782, 519, 1318, 4128, 269, 15850, 666, 723, 2110, 268, 543, 1279, 268, 614, 1889, 977, 338, 593, 519, 2634, 663, 7519, 338, 519, 2634, 779, 2792, 11444, 269, 1452, 666, 3310, 7099, 267, 2623, 543, 824, 5042, 3252, 563, 21093, 9615, 1280, 15850, 2422, 1656, 24251, 454, 6624, 23931, 10425, 723, 513, 1164, 4006, 1543, 602, 3123, 5694, 11761, 543, 19659, 269, 29318, 3049, 593, 4006, 267, 865, 513, 1268, 609, 606, 4568, 946, 4524, 4179, 2517, 1815, 657, 3426, 5264, 2593, 270, 2488, 519, 3501, 1604, 538, 741, 5023, 585, 4551, 547, 8853, 269, 634, 3679, 689, 9174, 267, 14420, 267, 543, 20521, 10425, 849, 31273, 1524, 519, 19596, 563, 763, 1350, 600, 5387, 1259, 602, 6704, 568, 3006, 17814, 538, 519, 2923, 849, 949, 6494, 519, 5048, 602, 621, 779, 15528, 547, 4235, 1932, 1454, 269, 1280, 1762, 1004, 267, 519, 3310, 540, 3237, 267, 9905, 543, 824, 1909, 3631, 666, 1764, 1981, 269, 4634, 1498, 596, 2461, 8572, 547, 1294, 519, 3441, 6704, 3123, 547, 707, 4835, 8219, 267, 621, 779, 1271, 711, 547, 11716, 519, 9963, 4191, 540, 29015, 269, 6884, 519, 5739, 2360, 5749, 1406, 4362, 2394, 1454, 2663, 538, 1272, 267, 1818, 621, 2352, 547, 9258, 1082, 1072, 8374, 563, 1432, 1772, 15850, 18816, 543, 15850, 1143, 888, 2690, 2021, 267, 713, 568, 811, 982, 1614, 10425, 829, 1554, 610, 5722, 10425, 829, 3018, 269, 4539, 540, 4568, 1280, 2367, 267, 621, 568, 811, 982, 2185, 10425, 829, 1554, 610, 476, 1691, 10425, 829, 3018, 269, 0, 288, 16472, 568, 513, 2143, 2079, 543, 6268, 540, 513, 4062, 540, 960, 610, 2773, 269, 898, 3322, 6313, 519, 960, 610, 2773, 538, 3178, 267, 6236, 922, 9342, 543, 12755, 267, 543, 1818, 513, 10385, 827, 922, 2949, 2298, 269, 589, 16472, 666, 581, 2854, 827, 1022, 1826, 540, 960, 610, 2773, 267, 1519, 3332, 267, 1148, 267, 2575, 267, 4670, 267, 14364, 267, 7544, 267, 610, 1256, 513, 1870, 11556, 610, 1857, 3609, 563, 3080, 1383, 540, 513, 16472, 568, 513, 2689, 540, 513, 1404, 602, 7902, 538, 513, 2199, 11356, 269, 634, 2689, 5956, 676, 4758, 513, 5618, 7650, 540, 519, 1404, 267, 1519, 519, 4729, 267, 4259, 267, 543, 1292, 3197, 269, 898, 1287, 4422, 593, 547, 1865, 519, 9117, 267, 28068, 267, 543, 2949, 2504, 2418, 540, 519, 1404, 269, 634, 2689, 4967, 519, 9342, 540, 519, 1404, 267, 971, 607, 2178, 12644, 689, 1978, 11051, 543, 5499, 946, 540, 3942, 1374, 267, 855, 849, 2798, 856, 922, 12755, 267, 971, 607, 14605, 2854, 5188, 610, 513, 14845, 4729, 563, 1103, 1840, 547, 7234, 519, 1808, 2609, 540, 519, 1404, 267, 519, 2689, 849, 27786, 519, 1404, 607, 513, 2898, 269, 898, 15109, 519, 1404, 781, 2949, 1764, 543, 2436, 621, 6913, 922, 5497, 3853, 269, 634, 2689, 20147, 609, 513, 16252, 267, 2901, 547, 1294, 519, 1404, 610, 547, 18178, 621, 563, 14454, 267, 713, 16472, 3091, 513, 9488, 543, 7059, 4879, 540, 519, 1404, 269, 898, 8711, 1312, 519, 1434, 543, 519, 3983, 3344, 540, 519, 2773, 267, 543, 3947, 3988, 513, 2312, 2631, 540, 1018, 789, 666, 2503, 952, 789, 6430, 547, 1294, 519, 1404, 269, 1635, 3246, 713, 1377, 540, 1469, 543, 2079, 267, 519, 2689, 2337, 3988, 1118, 606, 5483, 3375, 827, 2436, 519, 1404, 568, 4502, 741, 942, 543, 2724, 563, 1692, 547, 2328, 7600, 1664, 2060, 6201, 454, 13014, 2386, 547, 3280, 20310, 543, 1683, 2178, 7440, 269, 1684, 596, 1995, 519, 1482, 4743, 286, 21414, 519, 5678, 13242, 538, 519, 9137, 5678, 568, 4105, 538, 1169, 2376, 267, 7488, 540, 519, 2361, 543, 1888, 269, 1325, 2819, 13110, 540, 8744, 782, 4773, 1927, 538, 707, 2376, 16472, 286, 1284, 10018, 649, 786, 711, 1577, 1524, 269, 3509, 1053, 1166, 514, 577, 1256, 693, 519, 6071, 2856, 540, 1603, 513, 16472, 269, 1306, 713, 568, 519, 13557, 540, 707, 16472, 267, 707, 2565, 20241, 4766, 1946, 596, 3357, 547, 513, 1978, 3932, 269, 1547, 9105, 3054, 519, 1739, 2055, 1354, 4358, 547, 2328, 563, 1692, 547, 7600, 1664, 606, 9137, 538, 476, 274, 17778, 630, 5976, 7151, 994, 763, 2140, 540, 519, 1957, 10502, 7150, 519, 1641, 540, 519, 4760, 543, 519, 6073, 540, 519, 15971, 540, 519, 6898, 538, 519, 4367, 5012, 547, 519, 6662, 540, 519, 1353, 538, 519, 13099, 2144, 269, 1215, 1131, 596, 5581, 2436, 621, 568, 606, 2150, 6412, 18976, 2707, 610, 711, 286, 5047, 267, 950, 621, 2501, 547, 1603, 16472, 2186, 540, 4574, 267, 596, 1058, 917, 602, 596, 723, 14469, 609, 606, 5140, 6075, 1489, 3028, 693, 5675, 22117, 518, 269, 9502, 543, 476, 278, 9537, 1677, 6333, 1215, 547, 2328, 513, 16472, 1879, 596, 2811, 4712, 547, 2253, 1603, 707, 16472, 267, 1246, 891, 3268, 281, 476, 272, 269, 2986, 1576, 267, 707, 2093, 1058, 581, 6462, 609, 513, 4062, 540, 2312, 2963, 269, 1411, 666, 2901, 10839, 519, 851, 610, 946, 621, 607, 4661, 566, 547, 6961, 707, 1448, 269, 1452, 1331, 14469, 543, 606, 16022, 20261, 1062, 602, 596, 666, 946, 547, 5968, 609, 707, 5856, 269, 9137, 7600, 1664, 7151, 9137, 16472, 5439, 543, 1806, 616, 513, 1434, 4316, 547, 1118, 519, 1603, 1184, 5488, 543, 12863, 563, 1692, 1677, 3503, 513, 7600, 1664, 630, 4415, 9537, 543, 606, 7151, 994, 17809, 728, 606, 7650, 602, 12857, 519, 1292, 2798, 543, 6257, 519, 1259, 519, 17082, 610, 2278, 6192, 519, 960, 269, 5269, 2386, 519, 7291, 10742, 782, 519, 7355, 540, 606, 4998, 16472, 607, 25009, 676, 707, 7548, 269, 8921, 267, 596, 991, 547, 2232, 519, 1739, 2055, 281, 476, 272, 269, 7053, 267, 646, 7125, 519, 4249, 513, 10565, 12511, 269, 1261, 11130, 602, 1053, 1175, 10024, 2852, 610, 945, 616, 538, 741, 1101, 1032, 540, 1153, 723, 2362, 4160, 2157, 982, 1346, 538, 741, 2663, 2852, 1296, 269, 14474, 707, 16472, 1306, 609, 1034, 2854, 6054, 267, 513, 16472, 2640, 689, 2312, 11249, 602, 10274, 519, 5467, 269, 1284, 1175, 917, 596, 786, 581, 6126, 609, 1018, 596, 4309, 693, 5675, 22117, 518, 563, 20684, 7600, 1664, 7151, 267, 14905, 9137, 7600, 1664, 32273, 491, 20804, 3255, 269, 531, 636, 22563, 31815, 3518, 807, 12975, 454, 2026, 596, 979, 998, 782, 891, 3268, 267, 596, 666, 5912, 547, 1603, 269, 12824, 723, 5892, 7074, 713, 547, 581, 3020, 267, 543, 19395, 10530, 2090, 14916, 547, 1489, 713, 3409, 269, 5457, 602, 707, 2376, 16472, 1590, 3382, 711, 1152, 519, 2942, 2798, 602, 596, 7237, 855, 519, 2318, 8906, 607, 1134, 269, 898, 568, 519, 1747, 547, 1683, 5885, 4555, 543, 8100, 2901, 689, 519, 2376, 610, 1776, 4081, 2707, 269, 3657, 519, 7440, 4843, 4570, 286, 1403, 596, 723, 3893, 891, 2055, 538, 707, 2247, 267, 519, 4760, 16472, 1383, 3177, 538, 713, 2376, 786, 948, 596, 1451, 519, 2596, 3741, 540, 4760, 16472, 1603, 269, 14674, 782, 3877, 596, 1589, 949, 948, 547, 5838, 606, 12819, 2376, 16472, 563, 288, 3883, 7600, 1664, 7151, 281, 966, 16191, 9669, 689, 16869, 19536, 454, 4407, 19395, 781, 4681, 941, 6157, 1713, 267, 1010, 3732, 2450, 729, 1360, 1507, 267, 1818, 1010, 4681, 5732, 25619, 269, 898, 781, 1655, 547, 1331, 606, 4367, 267, 1560, 543, 3932, 269, 6333, 519, 31824, 543, 9355, 540, 519, 2376, 607, 596, 10404, 1125, 621, 269, 6423, 1018, 568, 1434, 267, 1018, 568, 13385, 267, 543, 1018, 2694, 616, 519, 1034, 1271, 585, 8236, 513, 1978, 3483, 1305, 676, 519, 2278, 269, 898, 781, 1271, 547, 13712, 1022, 2959, 596, 1031, 2429, 519, 16472, 267, 1519, 519, 3355, 1560, 540, 960, 269, 3657, 782, 10643, 267, 6810, 267, 1016, 21827, 267, 543, 9433, 6896, 25401, 286, 634, 6241, 16144, 543, 10297, 616, 782, 4977, 950, 621, 2501, 547, 741, 1543, 563, 2690, 1383, 267, 952, 596, 7237, 1945, 4277, 610, 606, 4661, 602, 7575, 596, 267, 596, 1058, 2015, 621, 607, 1945, 602, 568, 4502, 1373, 5941, 269, 6875, 707, 942, 547, 4739, 513, 3501, 16472, 543, 1118, 621, 4625, 5470, 6954, 269, 9894, 519, 2278, 12446, 693, 513, 2312, 6364, 538, 1010, 610, 1200, 960, 286, 1411, 991, 547, 946, 606, 4081, 1603, 2511, 2059, 609, 513, 2312, 2497, 269, 634, 1184, 540, 19280, 4760, 31886, 689, 5675, 22117, 518, 568, 7357, 31484, 548, 6954, 269, 10610, 24225, 338, 2443, 621, 568, 1164, 942, 596, 5206, 519, 1292, 9433, 540, 707, 960, 269, 1284, 616, 8746, 596, 786, 581, 24330, 256, 7600, 1664, 2376, 568, 519, 1957, 547, 1118, 1053, 5031, 741, 6268, 540, 513, 1880, 2376, 267, 1433, 267, 3948, 267, 3092, 563, 2005, 568, 1010, 4487, 1740, 543, 4667, 602, 1100, 824, 1977, 3209, 1223, 2479, 2097, 2673, 547, 922, 5339, 26274, 269, 26361, 782, 267, 649, 1616, 596, 547, 581, 13854, 609, 1022, 1382, 4760, 16472, 1383, 596, 4444, 689, 5675, 22117, 518, 269, 1403, 596, 946, 1022, 2959, 267, 596, 666, 1039, 891, 538, 1310, 519, 3932, 269, 17166, 596, 723, 1044, 4280, 547, 16472, 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 ]
[ 0, 1432, 568, 513, 23093, 4751, 888, 288, 23093, 4751, 568, 2147, 547, 606, 2228, 5925, 610, 8613, 1397, 602, 596, 666, 24049, 547, 269, 634, 2165, 568, 513, 4999, 540, 968, 328, 303, 617, 2223, 543, 968, 321, 5802, 4751, 3034, 288, 23093, 4751, 568, 606, 8301, 1982, 267, 899, 513, 19471, 5925, 1397, 267, 602, 568, 1500, 676, 2576, 543, 1287, 11540, 547, 519, 5769, 585, 596, 547, 4647, 543, 6432, 547, 3842, 1775, 307, 17480, 610, 707, 19503, 617, 563, 288, 23093, 4751, 568, 3274, 513, 10916, 602, 568, 982, 23345, 607, 606, 8301, 3758, 563, 10144, 1118, 23093, 4751, 338, 827, 1022, 1641, 602, 789, 2811, 13730, 827, 910, 689, 5026, 547, 13371, 2835, 267, 689, 3332, 547, 6517, 547, 9413, 269, 2368, 7641, 543, 5925, 2982, 1256, 723, 23093, 4751, 338, 540, 741, 5767, 14501, 610, 607, 9360, 547, 873, 563, 8489, 798, 596, 1265, 23093, 4751, 338, 888, 2791, 666, 1265, 23093, 4751, 338, 782, 936, 519, 5769, 910, 789, 2811, 18799, 693, 6266, 540, 7270, 543, 513, 2656, 3406, 693, 1022, 3406, 2599, 786, 1265, 596, 6266, 540, 6402, 563, 1692, 798, 596, 1118, 513, 30142, 323, 4751, 888, 2791, 666, 946, 1896, 1982, 547, 1711, 513, 23093, 4751, 971, 607, 10748, 13369, 630, 1721, 7193, 1070, 12275, 720, 17020, 630, 1721, 26914, 1070, 4787, 4286, 267, 3092, 563, 2171, 786, 1451, 875, 547, 1118, 23093, 4751, 338, 538, 1362, 713, 4947, 1032, 543, 14202, 938, 1378, 267, 7234, 2835, 543, 2035, 649, 1451, 538, 1362, 2336, 19400, 713, 966, 22432, 302, 547, 948, 596, 1711, 513, 23093, 4751, 1210, 12275, 720, 17020, 630, 1721, 5839, 3755, 264, 0, 27807, 30669, 616, 6633, 762, 1648, 2959, 3812, 676, 2713, 7103, 267, 899, 8970, 267, 13479, 267, 543, 1256, 16933, 269, 5843, 13060, 543, 2371, 5531, 3327, 689, 519, 5790, 543, 6451, 621, 883, 519, 5214, 7135, 602, 1118, 909, 1919, 899, 3762, 267, 4829, 267, 11710, 543, 3574, 269, 1879, 2831, 3548, 2371, 543, 17973, 267, 789, 4558, 930, 540, 519, 3327, 1648, 789, 4076, 979, 6277, 1194, 909, 607, 3170, 267, 899, 519, 5144, 3170, 1031, 547, 1118, 7423, 269, 12207, 1289, 3327, 6740, 538, 2371, 267, 17973, 543, 2831, 968, 2908, 892, 3327, 269, 6196, 3327, 568, 3327, 13615, 909, 538, 8093, 10173, 899, 5755, 543, 3282, 267, 602, 779, 1044, 11895, 585, 6634, 540, 1296, 563, 7212, 7423, 3884, 1406, 2356, 14616, 607, 513, 4492, 267, 513, 12425, 3484, 1397, 5063, 10736, 741, 8536, 11013, 7423, 17001, 883, 476, 274, 2395, 2914, 2180, 540, 1379, 585, 513, 2199, 3484, 267, 1210, 513, 15655, 2007, 6856, 269, 634, 1715, 3840, 3557, 12876, 5828, 922, 7423, 18810, 883, 7686, 19342, 4492, 269, 2311, 1753, 267, 596, 666, 1118, 513, 6529, 540, 7423, 883, 513, 23156, 547, 1294, 585, 3054, 875, 606, 3662, 1587, 666, 581, 1031, 607, 513, 4492, 563, 2414, 1118, 7423, 22250, 596, 3580, 991, 513, 6529, 540, 7423, 267, 513, 21491, 1157, 610, 7729, 4546, 267, 930, 10412, 10051, 1000, 710, 543, 23805, 563, 272, 269, 12338, 519, 7423, 883, 519, 2450, 22250, 596, 1616, 269, 9255, 707, 22250, 593, 513, 3595, 31383, 2627, 267, 899, 513, 4496, 6676, 563, 273, 269, 12338, 4773, 540, 5569, 5594, 3476, 982, 519, 4463, 540, 707, 22250, 563, 274, 269, 2422, 513, 7729, 4546, 610, 21491, 1157, 547, 1093, 651, 513, 8559, 689, 519, 1283, 540, 707, 23156, 547, 2282, 519, 5377, 563, 275, 269, 32379, 707, 5569, 883, 519, 3180, 1210, 707, 7729, 4546, 610, 21491, 1157, 269, 23680, 476, 272, 270, 275, 10759, 610, 865, 23578, 856, 269, 901, 568, 707, 23156, 530, 1157, 563, 276, 269, 11676, 513, 2370, 7423, 5196, 519, 530, 1157, 269, 8752, 707, 23156, 269, 898, 949, 1491, 513, 1906, 13290, 267, 855, 4166, 621, 1058, 6633, 899, 513, 14589, 23156, 563, 265, 2026, 609, 782, 22250, 267, 7423, 22250, 1058, 2760, 581, 2451, 796, 3430, 2105, 269, 2142, 2386, 547, 1747, 707, 22250, 593, 513, 2627, 899, 513, 23156, 23649, 602, 3112, 6952, 3595, 563, 1432, 4523, 286, 634, 1396, 10412, 530, 1157, 6238, 547, 6633, 543, 4508, 1030, 625, 930, 540, 519, 7423, 3170, 269, 634, 530, 1157, 1287, 25309, 519, 24268, 7423, 543, 27605, 621, 909, 267, 16129, 31479, 2962, 267, 547, 519, 18723, 269, 634, 18723, 6238, 547, 6633, 519, 3170, 22643, 832, 2864, 982, 519, 530, 1157, 267, 538, 513, 13674, 5114, 269, 901, 5114, 7472, 3002, 267, 1216, 11517, 543, 3327, 8166, 3154, 267, 8380, 519, 3327, 568, 1394, 538, 519, 5790, 563, 7712, 8781, 1426, 3884, 1406, 606, 3608, 946, 540, 1648, 610, 2724, 630, 527, 3217, 6266, 540, 3282, 547, 6318, 543, 1416, 585, 513, 10800, 267, 264, 3744, 616, 4947, 909, 609, 2081, 547, 2490, 3662, 9600, 543, 676, 335, 20094, 602, 666, 1406, 581, 1031, 607, 1426, 883, 6915, 30669, 269, 2368, 538, 539, 1043, 2030, 3536, 666, 581, 32419, 607, 1134, 269, 1280, 1383, 267, 930, 6517, 666, 2196, 593, 1031, 5986, 3282, 269, 2052, 596, 4952, 875, 1454, 3282, 513, 3728, 1426, 13962, 25001, 2476, 1142, 3018, 888, 7212, 7423, 786, 2760, 5372, 23156, 14589, 267, 7423, 22250, 616, 513, 1434, 1259, 547, 6338, 519, 3327, 4783, 543, 1205, 3214, 3206, 827, 875, 1007, 10173, 543, 15777, 1532, 9506, 4492, 786, 1764, 519, 2104, 540, 938, 4541, 563, 2414, 1118, 519, 8970, 23156, 693, 519, 1283, 540, 713, 2022, 267, 649, 7923, 519, 7423, 22250, 547, 606, 1274, 540, 8970, 609, 7745, 1055, 11308, 7729, 9955, 563, 5970, 596, 2479, 9289, 1946, 621, 779, 865, 2182, 547, 1205, 11337, 577, 1575, 13576, 856, 540, 513, 11480, 267, 610, 1946, 1100, 1673, 8692, 5862, 3085, 1406, 30620, 888, 298, 21255, 1575, 267, 1100, 30620, 5862, 267, 5277, 865, 2355, 543, 31576, 30139, 616, 782, 851, 540, 513, 2731, 5863, 7121, 540, 12862, 1634, 607, 968, 9917, 2130, 15559, 1848, 1452, 12862, 616, 7168, 5394, 950, 789, 2461, 9361, 1869, 267, 855, 789, 1205, 25182, 610, 811, 968, 331, 18612, 344, 892, 607, 789, 2095, 267, 1317, 3350, 11081, 741, 25297, 267, 610, 11098, 267, 1818, 873, 811, 31868, 2044, 563, 12988, 538, 476, 3422, 274, 267, 606, 11653, 3957, 14880, 28270, 324, 8068, 12535, 540, 5277, 15246, 689, 519, 2627, 2630, 513, 6908, 540, 1352, 2130, 5277, 646, 729, 2324, 609, 269, 901, 9490, 267, 2110, 24331, 9259, 2968, 1634, 607, 519, 28270, 324, 1198, 563, 4415, 513, 11381, 267, 11746, 267, 930, 8670, 12853, 543, 513, 5068, 1990, 328, 680, 1442, 9126, 267, 596, 666, 798, 707, 1378, 28270, 324, 1198, 4603, 693, 1753, 543, 4585, 12853, 32062, 9496, 899, 20744, 7914, 619, 689, 519, 1360, 31868, 2044, 1352, 2130, 5277, 12853, 18061, 2630, 454, 6874, 1901, 513, 5068, 1990, 328, 680, 1442, 9126, 547, 513, 11381, 609, 835, 7944, 610, 519, 9126, 11329, 4724, 513, 6676, 18284, 269, 634, 9126, 7944, 14282, 519, 6989, 1058, 581, 1472, 476, 736, 4699, 630, 12671, 513, 3723, 264, 689, 519, 6989, 563, 6363, 650, 519, 9126, 609, 5277, 12853, 610, 8670, 28052, 550, 269, 1284, 3773, 513, 1906, 12772, 540, 1426, 7801, 547, 23600, 563, 4211, 583, 1055, 519, 7944, 540, 519, 9126, 14191, 547, 519, 6989, 609, 23805, 547, 1118, 513, 6263, 8559, 585, 519, 12853, 547, 2095, 998, 630, 272, 7825, 4700, 1411, 949, 723, 547, 1118, 621, 513, 2370, 8273, 267, 855, 596, 1616, 513, 1360, 6094, 267, 11931, 6908, 540, 12853, 13576, 547, 519, 6676, 563, 8862, 2255, 585, 17259, 12535, 540, 12853, 269, 1403, 621, 779, 711, 2324, 267, 2119, 4657, 12853, 543, 14577, 9126, 8559, 2450, 543, 9126, 4463, 256, 1548, 4523, 952, 596, 2322, 519, 6676, 2630, 693, 606, 5086, 888, 2414, 1451, 811, 827, 519, 28270, 324, 1198, 543, 824, 3579, 6323, 8631, 267, 3643, 3220, 269, 4787, 903, 330, 1638, 338, 685, 3896, 269, 1261, 779, 519, 21997, 945, 5143, 803, 827, 713, 4603, 543, 5280, 803, 960, 856, 519, 7014, 563, 2252, 596, 4076, 2944, 606, 4603, 1141, 596, 30620, 1216, 5196, 513, 29784, 267, 610, 1500, 570, 773, 667, 6614, 22447, 267, 596, 917, 1018, 2627, 8082, 5654, 899, 1934, 593, 3047, 269, 1215, 1281, 621, 1413, 538, 2230, 888, 2080, 779, 606, 5863, 3381, 11744, 875, 519, 2627, 8082, 540, 1216, 5654, 538, 4642, 8904, 593, 519, 3486, 2230, 6728, 269, 26812, 3215, 2336, 5522, 1218, 616, 8748, 3114, 556, 6716, 9088, 269, 4635, 519, 3141, 779, 1648, 543, 513, 1184, 1572, 15591, 267, 789, 666, 2490, 1216, 543, 3327, 8166, 883, 4006, 630, 6921, 26651, 264, 543, 5135, 563, 12552, 547, 2371, 543, 824, 1313, 582, 5268, 338, 899, 13479, 267, 3047, 814, 606, 5135, 25202, 5790, 602, 666, 2844, 3662, 543, 1480, 1272, 563, 2414, 4585, 2371, 1118, 5135, 267, 782, 596, 991, 568, 513, 1216, 2030, 899, 4432, 1712, 320, 630, 19989, 693, 4620, 8637, 1070, 513, 1804, 8708, 267, 1216, 543, 513, 1906, 1507, 2312, 14296, 610, 1449, 13740, 563, 293, 650, 519, 1804, 8708, 609, 1216, 543, 2490, 707, 1507, 267, 2312, 11149, 593, 741, 5011, 14015, 547, 4894, 782, 519, 2011, 18616, 563, 29493, 513, 7936, 1055, 540, 707, 2030, 267, 1747, 621, 896, 1216, 538, 519, 1804, 8708, 267, 21199, 1055, 1022, 2011, 543, 2322, 621, 896, 707, 1507, 267, 2312, 8708, 268, 6565, 2427, 909, 269, 769, 3200, 519, 1507, 8708, 267, 3850, 1100, 2011, 547, 4283, 621, 269, 19244, 519, 4603, 609, 707, 824, 1507, 2312, 8708, 267, 855, 1810, 1406, 1039, 513, 2030, 269, 901, 568, 707, 1852, 269, 1403, 596, 2461, 1210, 1449, 13740, 267, 596, 666, 2322, 873, 538, 1507, 11680, 610, 581, 5474, 865, 789, 1810, 1406, 9133, 936, 269, 630, 8450, 8666, 1657, 8094, 20278, 707, 4603, 538, 6505, 7943, 610, 2282, 513, 2178, 17689, 543, 7747, 1018, 4523, 269, 1411, 1058, 1294, 5135, 18616, 1106, 593, 519, 2030, 607, 621, 15824, 15591, 269, 769, 513, 1449, 8546, 267, 596, 786, 5555, 1294, 930, 1216, 19774, 676, 5135, 563, 1432, 4523, 952, 596, 26134, 519, 4603, 538, 513, 4055, 609, 1100, 1769, 888, 307, 777, 1216, 3568, 930, 3327, 8166, 269, 1215, 798, 596, 1589, 519, 4603, 1131, 960, 609, 10720, 610, 11432, 1216, 888, 2080, 779, 519, 3381, 649, 1500, 2063, 15964, 585, 17718, 16631, 813, 602, 2982, 596, 875, 547, 1796, 593, 513, 7047, 517, 540, 6151, 5798, 1510, 8840, 873, 912, 8855, 267, 10414, 568, 2604, 829, 1770, 540, 1858, 269, 769, 519, 3381, 267, 596, 3580, 1294, 1018, 4523, 950, 596, 2119, 547, 1796, 593, 5798, 538, 1164, 31623, 543, 519, 3196, 3884, 1406, 14961, 7856, 563, 3080, 540, 519, 1101, 1919, 596, 1451, 950, 596, 798, 2257, 568, 602, 6901, 1810, 1406, 2141, 2490, 856, 519, 1259, 596, 4126, 789, 786, 269, 1656, 602, 779, 15528, 269, 1403, 693, 1101, 596, 1810, 1406, 8011, 2507, 563, 2171, 6836, 547, 2268, 875, 2484, 513, 14229, 324, 2763, 1131, 12235, 7298, 20256, 676, 8380, 18812, 10433, 538, 938, 28182, 543, 8743, 1782, 938, 562, 4680, 609, 17207, 1019, 5529, 538, 14723, 269, 19759, 569, 267, 1100, 2339, 875, 2182, 649, 6836, 267, 649, 7948, 1406, 3100, 547, 14229, 324, 2763, 609, 18812, 10433, 538, 938, 28182, 269, 700, 2795, 532, 865, 2182, 649, 838, 527, 519, 10433, 856, 729, 835, 6397, 6364, 269, 1284, 4956, 547, 2119, 621, 1586, 538, 519, 2104, 1210, 4620, 686, 8286, 22274, 693, 11996, 547, 2057, 519, 18812, 10433, 1966, 563, 7712, 972, 729, 1100, 1153, 2221, 543, 621, 729, 4557, 5232, 2630, 4642, 630, 293, 1070, 649, 6836, 18530, 14495, 1216, 883, 519, 2011, 547, 1294, 952, 621, 1131, 19068, 1354, 621, 5734, 519, 2666, 269, 4495, 1586, 267, 938, 8097, 2175, 941, 1447, 982, 3501, 267, 543, 4352, 930, 540, 519, 1216, 8389, 2763, 883, 606, 476, 5390, 6531, 267, 519, 5354, 5734, 519, 2666, 609, 513, 10943, 1662, 269, 634, 4603, 1131, 723, 5249, 1732, 693, 910, 736, 293, 267, 855, 621, 729, 1869, 1187, 2336, 306, 5306, 24506, 519, 13621, 11721, 872, 4506, 2837, 540, 4672, 267, 799, 568, 519, 4396, 1106, 540, 1216, 269, 3371, 779, 513, 1187, 4603, 596, 666, 798, 547, 1294, 585, 3054, 875, 31406, 25914, 728, 630, 14456, 6070, 264, 2306, 4672, 15835, 543, 1216, 1201, 872, 2763, 593, 513, 5569, 267, 3850, 596, 547, 968, 332, 698, 1227, 892, 12740, 606, 4672, 13306, 689, 513, 4837, 540, 1216, 563 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3370, 538, 834, 22349, 25348, 257, 4012, 1794, 1329, 324, 538, 4873, 476, 2735, 280, 269, 769, 2110, 267, 649, 7307, 547, 7747, 476, 279, 635, 1115, 15587, 269, 634, 3283, 602, 649, 14406, 941, 28661, 2274, 11803, 476, 2735, 278, 344, 272, 543, 28661, 5576, 342, 817, 10458, 8862, 778, 10458, 476, 272, 563, 21953, 1776, 28661, 729, 3773, 547, 519, 1592, 593, 5437, 476, 2420, 267, 950, 28661, 594, 577, 574, 3120, 476, 2735, 278, 323, 272, 729, 4362, 269, 4014, 972, 941, 13922, 540, 513, 6505, 4159, 585, 2038, 5130, 267, 891, 13922, 1705, 711, 2680, 10663, 269, 3733, 1101, 8343, 729, 593, 5437, 476, 2537, 950, 519, 28661, 729, 9588, 476, 279, 269, 278, 267, 609, 513, 1804, 630, 1015, 10807, 543, 27556, 635, 320, 269, 634, 28661, 6505, 2989, 20406, 607, 621, 14059, 519, 3141, 267, 543, 519, 635, 320, 2968, 1360, 1804, 267, 8757, 476, 1240, 262, 593, 5437, 476, 1839, 269, 2201, 5412, 476, 1428, 267, 799, 729, 1250, 2063, 8343, 267, 519, 1507, 3844, 28198, 729, 7106, 8960, 543, 513, 2110, 267, 25861, 2766, 729, 7298, 269, 4746, 519, 635, 320, 729, 4742, 28608, 538, 519, 4287, 540, 519, 2766, 269, 634, 9588, 729, 476, 278, 269, 274, 267, 855, 713, 729, 1134, 2630, 6788, 269, 769, 519, 1439, 267, 621, 2968, 2312, 602, 519, 28661, 729, 771, 5793, 326, 7992, 563, 763, 3803, 28661, 540, 476, 2735, 278, 602, 594, 4767, 729, 28661, 674, 584, 8500, 534, 2742, 476, 2735, 278, 325, 272, 269, 5494, 2642, 593, 5437, 476, 2537, 267, 713, 28661, 729, 2760, 3226, 7986, 269, 3733, 1101, 8343, 729, 593, 5437, 476, 1839, 267, 950, 621, 7902, 607, 513, 1507, 267, 26815, 27556, 1843, 540, 9588, 476, 1015, 269, 275, 269, 634, 28661, 6505, 2989, 5594, 607, 621, 1743, 26661, 2250, 519, 3047, 267, 543, 1250, 3803, 8343, 729, 593, 5988, 476, 1724, 267, 476, 2735, 279, 950, 519, 28661, 729, 9588, 476, 280, 269, 279, 609, 513, 476, 277, 3299, 26815, 27772, 635, 320, 269, 10251, 267, 711, 1279, 1310, 713, 594, 862, 10642, 6280, 2090, 267, 799, 14320, 1225, 339, 9229, 1250, 28661, 7422, 563, 2735, 278, 729, 1250, 1668, 5006, 1032, 2479, 585, 635, 1115, 609, 476, 1240, 1373, 7298, 693, 930, 3942, 1282, 519, 1032, 269, 5410, 547, 602, 31975, 320, 476, 2735, 278, 288, 267, 543, 621, 729, 3833, 513, 1032, 256, 769, 4334, 267, 476, 2735, 279, 729, 547, 581, 513, 9425, 9602, 1032, 4352, 621, 3323, 1055, 3833, 11112, 609, 513, 1297, 540, 635, 1115, 689, 476, 2735, 278, 1869, 7298, 543, 519, 6602, 540, 28661, 700, 14525, 476, 2735, 279, 320, 593, 5130, 476, 1556, 269, 3733, 1101, 8343, 540, 28661, 700, 14525, 729, 593, 5130, 476, 1691, 950, 621, 729, 9588, 476, 280, 269, 273, 609, 513, 476, 275, 262, 635, 320, 602, 729, 1134, 931, 10234, 269, 10251, 594, 1152, 1185, 942, 585, 476, 273, 811, 7422, 1354, 621, 20374, 883, 519, 1000, 559, 697, 543, 2968, 513, 7187, 21571, 1843, 1152, 563, 5475, 28661, 700, 14525, 267, 1919, 941, 1360, 9602, 2394, 519, 1439, 540, 5147, 267, 950, 519, 13350, 28661, 13527, 476, 273, 2968, 7298, 269, 3733, 1101, 3811, 8343, 729, 593, 5147, 476, 4029, 267, 950, 519, 28661, 729, 606, 2653, 476, 1556, 269, 271, 9588, 1843, 609, 513, 26815, 27556, 635, 320, 476, 277, 262, 2066, 269, 634, 28661, 6505, 2989, 20406, 2394, 5239, 476, 276, 267, 950, 621, 6603, 9588, 476, 279, 269, 276, 267, 855, 609, 513, 1360, 27556, 476, 1015, 262, 635, 320, 269, 2991, 713, 267, 519, 28661, 535, 12184, 3533, 267, 609, 1250, 3803, 8343, 1373, 593, 5437, 476, 2764, 950, 519, 28661, 729, 9588, 476, 1556, 269, 271, 563, 4002, 4864, 476, 277, 267, 5213, 7557, 565, 16379, 4362, 1776, 28661, 267, 476, 2735, 279, 329, 269, 901, 28661, 5293, 1369, 476, 271, 269, 273, 288, 308, 540, 519, 6129, 543, 729, 4440, 10032, 269, 594, 1152, 7307, 835, 8343, 540, 713, 28661, 267, 593, 4864, 476, 736, 267, 950, 621, 729, 9588, 476, 278, 269, 272, 609, 513, 476, 278, 3299, 26815, 27772, 635, 320, 543, 513, 476, 1015, 262, 2766, 269, 2991, 713, 4266, 267, 519, 28661, 6385, 32168, 539, 883, 519, 21554, 1000, 559, 697, 543, 729, 4503, 563, 2735, 280, 3323, 1055, 899, 865, 1082, 1296, 609, 1776, 6602, 676, 9291, 17659, 7615, 267, 28661, 17659, 7615, 476, 2735, 280, 322, 563, 5194, 28661, 594, 4767, 267, 729, 519, 13350, 28661, 13527, 476, 272, 476, 2735, 278, 324, 272, 269, 901, 28661, 729, 1818, 513, 1360, 4652, 822, 24461, 2132, 267, 2705, 594, 7307, 835, 8343, 593, 5988, 476, 1556, 950, 621, 729, 513, 25861, 543, 2352, 1843, 540, 9588, 476, 1556, 269, 278, 609, 513, 476, 276, 262, 8006, 267, 27556, 635, 320, 563, 763, 1101, 2731, 4277, 28661, 540, 519, 1032, 729, 519, 13350, 28661, 645, 832, 523, 5336, 31756, 2788, 476, 2735, 280, 333, 269, 901, 834, 295, 531, 2917, 15178, 257, 28661, 609, 513, 1974, 540, 513, 2370, 936, 476, 3583, 1296, 267, 729, 1818, 513, 7957, 24461, 2132, 538, 476, 2735, 280, 543, 729, 4397, 547, 3914, 21736, 31378, 15287, 269, 10251, 585, 1346, 540, 721, 538, 519, 7013, 21571, 267, 621, 729, 3592, 14311, 513, 7187, 21571, 1843, 269, 2334, 267, 5916, 609, 4057, 4365, 543, 6280, 11400, 3592, 11207, 840, 7672, 1250, 7422, 540, 713, 4277, 28661, 563, 763, 1482, 729, 3020, 585, 1776, 6505, 28661, 267, 589, 553, 996, 5174, 4319, 15838, 476, 2735, 280, 320, 272, 269, 4014, 713, 28661, 2968, 3833, 6505, 543, 729, 4092, 1134, 5045, 267, 621, 7283, 1360, 2673, 547, 519, 6129, 543, 513, 2352, 1843, 547, 7747, 563, 288, 28661, 602, 594, 729, 2111, 547, 3489, 513, 1434, 3126, 540, 7422, 585, 729, 28661, 21411, 1794, 13403, 6441, 5271, 344, 7304, 644, 523, 14150, 476, 2735, 280, 337, 269, 5494, 2642, 593, 4864, 476, 2190, 267, 713, 28661, 729, 1134, 5116, 585, 7013, 24319, 543, 1500, 513, 5386, 8289, 538, 519, 21554, 1000, 559, 697, 540, 3735, 5437, 270, 22022, 5412, 269, 634, 9998, 594, 729, 2111, 547, 7747, 519, 28661, 729, 593, 5437, 476, 2764, 267, 950, 621, 729, 513, 21736, 3750, 1843, 540, 9588, 476, 276, 269, 276, 609, 513, 1134, 27772, 635, 320, 543, 513, 476, 272, 4110, 2766, 269, 634, 28661, 8445, 539, 538, 21386, 593, 5437, 476, 1789, 693, 9588, 476, 276, 269, 275, 269, 634, 13074, 2766, 594, 4767, 729, 593, 5412, 476, 275, 267, 950, 519, 2766, 6603, 476, 272, 269, 4037, 5232, 269, 4438, 2038, 5412, 267, 519, 28661, 3323, 547, 28201, 3533, 269, 898, 849, 3459, 547, 1831, 1360, 27556, 269, 3733, 3803, 8343, 729, 593, 5130, 476, 274, 267, 476, 1960, 271, 267, 950, 519, 28661, 729, 9588, 476, 279, 269, 272, 267, 1360, 27556, 543, 609, 513, 2110, 267, 25861, 2766, 269, 21452, 267, 1152, 476, 273, 2395, 2663, 267, 12448, 13428, 576, 4080, 519, 9588, 547, 581, 476, 1015, 267, 543, 1152, 513, 3018, 2663, 519, 28661, 1223, 711, 581, 1336, 269, 2561, 30068, 267, 519, 28661, 4625, 771, 5793, 326, 3603, 1282, 4571, 5130, 2336, 763, 3803, 28661, 540, 519, 476, 2735, 271, 781, 729, 4362, 676, 1715, 2098, 7002, 6387, 14339, 21388, 593, 5412, 476, 277, 269, 1290, 564, 21388, 476, 2735, 280, 322, 272, 2322, 593, 513, 5386, 4159, 1282, 519, 1101, 3368, 540, 476, 1960, 271, 267, 4742, 7298, 547, 519, 21736, 3750, 543, 18071, 476, 273, 21217, 267, 519, 13074, 540, 799, 6603, 936, 476, 274, 5232, 269, 0, 15578, 674, 23360, 310, 17751, 11083, 476, 736, 454, 763, 12551, 3118, 568, 4092, 2066, 519, 2677, 329, 731, 1231, 22575, 9944, 23681, 476, 29889, 269, 634, 2497, 568, 2966, 547, 2061, 15790, 689, 8429, 998, 1247, 824, 14909, 2249, 616, 9575, 538, 30504, 543, 2443, 998, 1688, 18570, 2443, 616, 1577, 883, 595, 2393, 525, 21537, 1047, 563, 288, 476, 736, 628, 16683, 11812, 9709, 585, 2904, 476, 2764, 814, 1044, 23545, 539, 1317, 540, 519, 3573, 14700, 269, 898, 786, 581, 759, 3481, 27968, 585, 3735, 4864, 563, 763, 1269, 273, 269, 274, 2173, 11669, 15790, 11064, 543, 3165, 3118, 2965, 8118, 538, 476, 1960, 277, 269, 1809, 621, 1185, 20984, 269, 5071, 619, 4682, 1394, 547, 519, 5373, 4604, 543, 556, 641, 2989, 621, 519, 1739, 1032, 267, 6368, 8236, 741, 6859, 563, 2690, 5756, 267, 1455, 15790, 2443, 8385, 689, 5607, 2443, 1185, 1044, 4857, 568, 513, 2101, 16160, 3196, 538, 595, 2393, 525, 21537, 1047, 609, 9193, 540, 909, 547, 476, 3583, 267, 1822, 540, 873, 2713, 538, 519, 22153, 1633, 269, 634, 1966, 609, 15790, 568, 602, 267, 538, 741, 3586, 3406, 585, 1426, 267, 789, 669, 1248, 909, 519, 3037, 593, 519, 5377, 267, 1167, 15758, 519, 2208, 540, 2030, 1272, 563, 763, 681, 289, 294, 3081, 519, 12551, 3118, 814, 3366, 547, 10565, 9283, 693, 595, 2393, 525, 936, 519, 2250, 1079, 5756, 269, 2443, 634, 15790, 2551, 568, 1447, 982, 476, 276, 829, 1298, 540, 922, 5449, 2338, 269, 2443, 4826, 9355, 814, 27723, 4824, 269, 2443, 10606, 540, 5065, 3165, 723, 2799, 676, 3670, 16784, 269, 2443, 2549, 874, 756, 2103, 723, 2799, 689, 1614, 547, 2947, 2249, 543, 2338, 723, 2799, 5216, 16784, 269, 2443, 2859, 982, 476, 1220, 267, 1822, 19126, 2371, 630, 10175, 476, 5611, 267, 1822, 3032, 339, 5661, 8720, 476, 274, 25614, 1070, 723, 1044, 12630, 267, 1519, 1082, 5892, 4503, 2249, 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 ]
[ 8546, 563, 268, 19371, 7814, 821, 267, 10612, 585, 2067, 10009, 563, 268, 19371, 21783, 1187, 6773, 543, 5248, 908, 11896, 563, 268, 476, 273, 21783, 4837, 8043, 585, 13671, 3070, 543, 7873, 839, 622, 563, 268, 19371, 7387, 7873, 27660, 267, 8022, 676, 9399, 3330, 16509, 693, 12511, 4276, 543, 5248, 908, 11896, 563, 268, 28820, 10840, 6802, 267, 29690, 25280, 25539, 563, 268, 15346, 532, 5547, 563, 268, 18323, 28525, 623, 339, 1911, 394, 358, 563, 268, 28820, 10840, 12238, 2471, 563, 291, 574, 2433, 476, 10204, 1535, 476, 3583, 1535, 476, 13975, 4699, 1107, 476, 5611, 4846, 454, 18134, 960, 538, 2135, 476, 2412, 1535, 476, 2412, 7825, 454, 763, 3483, 540, 21381, 568, 547, 11517, 1125, 519, 19857, 538, 1931, 547, 10802, 519, 1151, 1393, 538, 519, 3070, 563, 4263, 519, 1439, 540, 519, 5106, 519, 6219, 16626, 568, 1634, 607, 519, 13404, 563, 288, 6671, 18493, 1807, 568, 12699, 676, 9252, 799, 7873, 5151, 543, 18993, 1080, 3002, 1648, 547, 519, 3070, 547, 581, 18493, 730, 563, 2026, 713, 3070, 1630, 2812, 621, 538, 2490, 13847, 11517, 799, 949, 912, 1700, 23657, 581, 27772, 538, 513, 7873, 27660, 267, 538, 799, 2013, 519, 1184, 568, 1634, 607, 968, 338, 17532, 1198, 892, 21381, 563, 1700, 2107, 581, 1031, 547, 3002, 1776, 18493, 1807, 267, 538, 799, 2013, 621, 568, 1634, 607, 968, 20123, 2118, 1198, 9731, 1103, 3069, 606, 19957, 1297, 540, 18493, 2209, 949, 581, 2404, 538, 3126, 538, 713, 1259, 563, 1103, 2872, 21381, 568, 1031, 547, 10778, 1700, 5136, 1555, 16358, 1242, 4006, 267, 13671, 5144, 267, 13671, 4829, 23238, 267, 1957, 17870, 563, 16521, 5665, 2175, 543, 1353, 741, 3310, 593, 519, 1184, 454, 24965, 1027, 610, 11626, 2604, 454, 293, 3975, 2557, 543, 9252, 2095, 2557, 454, 12507, 3218, 519, 1184, 454, 307, 615, 7356, 543, 1570, 3666, 0, 293, 5831, 6272, 616, 606, 2479, 19145, 2460, 540, 938, 2729, 602, 649, 782, 1413, 4464, 547, 269, 3245, 519, 5767, 3466, 547, 5499, 6272, 267, 6752, 2141, 21314, 547, 1832, 721, 27278, 269, 22960, 6272, 723, 9927, 936, 519, 1296, 267, 543, 538, 476, 1708, 274, 267, 649, 666, 2503, 547, 1294, 930, 2189, 543, 3860, 6272, 269, 769, 713, 2376, 267, 649, 786, 2263, 930, 540, 519, 1655, 6752, 1374, 2093, 267, 519, 2010, 540, 6752, 9858, 267, 543, 875, 547, 1376, 513, 4876, 538, 6752, 8888, 563, 1432, 616, 519, 9537, 540, 22960, 27588, 888, 293, 5831, 8888, 568, 513, 3309, 2361, 602, 3091, 1082, 1114, 4876, 10092, 269, 3371, 616, 930, 540, 519, 2010, 540, 6752, 8888, 912, 268, 22960, 16503, 1674, 912, 268, 22960, 14745, 568, 519, 1184, 540, 2870, 1688, 1673, 22148, 610, 3059, 25780, 540, 6752, 6272, 269, 22960, 3879, 21116, 991, 547, 723, 513, 1434, 1620, 540, 1480, 14169, 267, 6752, 3466, 267, 543, 2681, 3069, 563, 268, 23694, 10435, 912, 268, 23694, 1818, 568, 519, 1184, 540, 2870, 17074, 610, 3270, 585, 7802, 6272, 269, 23694, 15670, 991, 547, 723, 513, 1434, 1620, 540, 9511, 267, 7403, 267, 543, 4070, 2553, 563, 268, 12275, 618, 14716, 912, 268, 12275, 618, 4070, 3322, 519, 1184, 540, 22927, 543, 7011, 1782, 7802, 6272, 269, 12275, 618, 4070, 3340, 1702, 540, 17234, 267, 22927, 2553, 267, 543, 18138, 2553, 563, 268, 22960, 853, 344, 1782, 912, 268, 22960, 18908, 1782, 3322, 2870, 856, 22327, 543, 17960, 585, 6337, 14833, 1824, 267, 6752, 2982, 267, 543, 824, 2621, 269, 22960, 18935, 1235, 991, 547, 723, 513, 1434, 1620, 540, 6752, 3466, 267, 2681, 3069, 267, 543, 1569, 528, 1944, 563, 1692, 547, 3399, 513, 19396, 538, 22960, 5071, 888, 28275, 513, 4876, 538, 6752, 1374, 3340, 11428, 267, 2182, 960, 267, 543, 6612, 585, 6752, 269, 3371, 616, 930, 3268, 602, 596, 666, 1491, 547, 1376, 513, 4876, 538, 6752, 1374, 912, 268, 3763, 707, 1983, 912, 763, 1101, 1900, 538, 4358, 513, 4876, 538, 6752, 1374, 568, 547, 1020, 707, 1983, 269, 1411, 666, 1491, 6752, 1374, 6030, 267, 7390, 11925, 267, 610, 2259, 593, 707, 1378, 547, 1020, 707, 1983, 563, 268, 12706, 707, 14769, 912, 7312, 14769, 568, 707, 13686, 540, 707, 960, 543, 1983, 269, 1411, 666, 1711, 513, 14769, 676, 2921, 5961, 540, 707, 6272, 267, 2870, 513, 3896, 267, 610, 1210, 1514, 2923, 563, 268, 28150, 1995, 912, 16987, 1466, 568, 1898, 538, 519, 6752, 2872, 269, 1411, 666, 2744, 1995, 676, 954, 940, 267, 2324, 607, 606, 13930, 267, 610, 10283, 538, 6752, 19194, 563, 15187, 11529, 568, 2565, 538, 519, 6752, 2872, 269, 1411, 666, 7390, 6752, 2621, 267, 6443, 6752, 3906, 267, 610, 1921, 609, 2872, 4648, 593, 1514, 2923, 563, 268, 13773, 8242, 593, 6752, 3466, 912, 293, 5831, 3466, 616, 7683, 4657, 267, 543, 621, 568, 1898, 547, 3251, 8242, 593, 519, 5767, 3466, 269, 1411, 666, 1246, 6752, 5816, 7970, 267, 7390, 6752, 2982, 267, 610, 1224, 6752, 17476, 547, 3251, 5483, 563, 1103, 3932, 267, 6752, 6272, 616, 606, 1898, 851, 540, 938, 2729, 267, 543, 649, 666, 2503, 547, 1294, 930, 2189, 543, 3860, 6272, 538, 476, 1708, 274, 269, 634, 6752, 2872, 3091, 1082, 1114, 4876, 10092, 267, 543, 4358, 513, 4876, 538, 6752, 1374, 3340, 2182, 960, 267, 11428, 267, 543, 6612, 269, 2060, 519, 1318, 1983, 267, 14769, 267, 1995, 267, 13033, 267, 543, 1702, 540, 6752, 3466, 267, 596, 666, 3035, 1967, 538, 519, 6752, 2872, 563, 32306, 513, 31400, 0, 763, 7187, 21303, 18686, 568, 4867, 18460, 4028, 11626, 8337, 263, 272, 1040, 16842, 27224, 1606, 16577, 15835, 1282, 519, 14206, 2540, 263, 273, 267, 274, 264, 814, 8329, 547, 4672, 1606, 3559, 325, 12900, 543, 519, 7839, 10231, 263, 275, 1070, 30034, 543, 21748, 263, 276, 264, 540, 22260, 269, 4475, 267, 22260, 15672, 547, 519, 21303, 10979, 16847, 4867, 1118, 513, 1804, 9295, 547, 552, 755, 1738, 4262, 7400, 4473, 263, 277, 267, 278, 1070, 855, 2104, 13621, 949, 581, 15558, 676, 2799, 13247, 263, 279, 1040, 3371, 649, 2708, 27224, 12641, 1493, 3347, 1312, 1282, 519, 2250, 543, 883, 519, 2104, 267, 1210, 4672, 2275, 648, 543, 17027, 1239, 543, 27224, 543, 2916, 10230, 2203, 13502, 269, 29760, 593, 3794, 659, 1512, 594, 297, 305, 3393, 593, 6276, 17664, 6816, 267, 22583, 21303, 18686, 267, 938, 20592, 6901, 1397, 602, 713, 11347, 27224, 568, 1034, 6213, 547, 2837, 1689, 267, 711, 13247, 1689, 269, 1284, 3313, 602, 922, 1034, 2487, 7269, 7018, 1282, 519, 3735, 4591, 18152, 1412, 28012, 10979, 6520, 262, 543, 711, 1282, 519, 15911, 4571, 6953, 565, 18152, 267, 607, 5892, 6069, 263, 280, 1040, 3244, 2827, 1210, 513, 2039, 540, 2104, 3955, 32744, 19937, 593, 8693, 7827, 2916, 7653, 5815, 602, 2104, 4679, 538, 13247, 616, 12691, 547, 15558, 11626, 2914, 9879, 14001, 15835, 540, 15672, 21303, 18686, 22260, 563, 31871, 540, 3817, 1475, 277, 2008, 347, 22711, 1475, 26903, 8693, 7827, 2008, 347, 15900, 2228, 4266, 1475, 1691, 20029, 476, 1001, 275, 2008, 347, 26397, 4567, 1475, 13775, 910, 476, 1789, 8734, 476, 1001, 275, 2008, 268, 10323, 288, 268, 4041, 27111, 681, 30990, 454, 268, 590, 7838, 293, 19781, 631, 19798, 5174, 3201, 23814, 454, 268, 700, 17129, 476, 2004, 962, 292, 12678, 454, 268, 590, 4047, 299, 293, 25886, 454, 293, 5424, 2745, 291, 633, 883, 519, 1382, 3584, 540, 1412, 9556, 8215, 27224, 3210, 547, 1298, 27812, 2837, 543, 13247, 3466, 593, 519, 21303, 18686, 8339, 8625, 789, 1106, 513, 2189, 31937, 563, 268, 20513, 540, 3047, 543, 5020, 7070, 267, 20513, 540, 3047, 543, 5020, 7070, 630, 5719, 696, 264, 910, 1160, 21470, 16644, 766, 27891, 20513, 540, 3047, 1299, 5020, 7070, 454, 31094, 281, 9752, 1656, 3194, 0, 5415, 593, 3680, 656, 5900, 16670, 13910, 454, 16920, 16670, 3069, 5267, 602, 938, 2038, 2833, 609, 15637, 3337, 938, 2104, 3347, 269, 634, 1259, 649, 8936, 547, 938, 15637, 1282, 6689, 666, 3648, 1764, 519, 1259, 649, 1106, 3347, 609, 1866, 607, 4079, 269, 3680, 656, 13613, 568, 835, 540, 519, 2185, 13613, 6163, 4857, 676, 13613, 3069, 267, 543, 621, 568, 6353, 676, 513, 7287, 547, 2226, 7115, 543, 3845, 689, 1866, 563, 31714, 609, 2057, 656, 13613, 4043, 547, 581, 14156, 11397, 543, 2057, 2673, 3347, 609, 1866, 269, 1358, 949, 2408, 1582, 1606, 11211, 543, 949, 581, 13943, 609, 10525, 540, 15754, 610, 25055, 269, 1358, 1419, 723, 513, 4250, 540, 25055, 543, 13438, 267, 799, 666, 1118, 621, 2352, 585, 873, 547, 1106, 2620, 4296, 609, 1866, 563, 763, 5072, 540, 2057, 656, 13613, 666, 1419, 581, 14360, 1394, 547, 2038, 6689, 2833, 269, 1280, 1383, 267, 513, 1126, 945, 9846, 11392, 2942, 610, 22522, 6114, 689, 741, 27877, 949, 1451, 547, 2057, 3929, 4276, 607, 513, 1797, 540, 1582, 3491, 339, 1254, 269, 17968, 267, 513, 1126, 945, 568, 27052, 610, 22309, 585, 6029, 13438, 610, 991, 949, 1451, 547, 16401, 741, 4664, 543, 3845, 2933, 689, 1866, 563, 22879, 656, 13613, 666, 723, 1713, 4539, 585, 3347, 538, 15296, 269, 4658, 609, 713, 13613, 2511, 949, 6560, 547, 1106, 2673, 267, 6209, 3347, 609, 1866, 267, 3056, 547, 4606, 540, 20420, 543, 10072, 269, 1358, 949, 849, 581, 12155, 547, 2502, 538, 21603, 3347, 610, 13680, 3023, 607, 513, 1797, 540, 9319, 3929, 25055, 563, 12234, 267, 2043, 609, 2057, 656, 13613, 949, 6560, 609, 11589, 741, 4664, 543, 949, 6560, 547, 2697, 543, 5968, 741, 2115, 538, 3347, 269, 901, 666, 1291, 547, 21390, 543, 7526, 609, 4891, 945, 949, 1745, 20495, 610, 796, 28695, 563, 8601, 519, 2591, 2404, 609, 2057, 656, 13613, 267, 972, 616, 2994, 602, 2043, 666, 946, 547, 1020, 811, 5150, 27589, 609, 1866, 269, 1452, 2994, 949, 1331, 5275, 3797, 547, 2232, 519, 3597, 3123, 540, 2057, 656, 13613, 543, 1565, 547, 2769, 4664, 543, 5968, 2115, 811, 3927, 563, 1103, 3932, 267, 2057, 656, 13613, 568, 513, 4101, 13613, 2511, 602, 666, 723, 1713, 4539, 585, 3347, 538, 15296, 269, 1717, 267, 609, 519, 1318, 2994, 543, 1489, 267, 2043, 666, 1451, 547, 1020, 811, 5150, 27589, 543, 1106, 4514, 267, 811, 6209, 4296, 609, 1866, 563, 2252, 596, 2811, 5461, 538, 3797, 547, 2263, 2057, 656, 13613, 2511, 610, 21274, 267, 4945, 2630, 547, 1205, 3323, 563, 305, 17415, 585, 596, 2676, 11514, 25068, 281, 901, 568, 538, 1100, 1259, 513, 10682, 585, 513, 9354, 2078, 610, 2790, 1072, 2533, 269, 901, 568, 585, 3872, 5301, 1152, 543, 1058, 581, 538, 1031, 1152, 538, 14966, 538, 2324, 609, 513, 13931, 2790, 1072, 3318, 269, 7335, 713, 5816, 610, 14775, 547, 621, 1281, 711, 13822, 513, 8502, 1790, 520, 1304, 2078, 269, 1403, 596, 616, 3168, 585, 513, 2199, 2790, 1072, 3318, 1745, 1863, 547, 8430, 513, 1289, 3724, 547, 7662, 606, 13393, 610, 3406, 10657, 9324, 610, 10017, 4653, 585, 2199, 16293, 538, 707, 1858, 269, 1403, 713, 568, 513, 2790, 1072, 6595, 543, 596, 991, 7525, 6351, 5225, 1289, 476, 26605, 610, 707, 10315, 779, 6433, 1899, 547, 3717, 547, 513, 2790, 1072, 3318, 269, 0, 10144, 779, 6547, 547, 14920, 723, 1044, 4657, 2429, 938, 1686, 20427, 269, 23883, 609, 1007, 2474, 540, 4638, 3961, 4947, 883, 1404, 971, 607, 25251, 338, 267, 513, 25757, 338, 543, 1098, 326, 11367, 269, 1703, 616, 6302, 1063, 519, 2474, 24139, 267, 25251, 267, 543, 796, 16932, 539, 2021, 267, 855, 891, 6302, 616, 968, 7758, 8271, 5714, 892, 1547, 645, 1047, 23595, 814, 1044, 13042, 607, 513, 3791, 1826, 540, 4638, 10066, 269, 2201, 519, 824, 1688, 267, 930, 3173, 6353, 513, 16303, 7081, 607, 2942, 269, 476, 898, 779, 711, 519, 2343, 269, 634, 10539, 827, 4638, 3961, 814, 2141, 1044, 7805, 538, 3013, 563, 2005, 4667, 899, 1004, 945, 723, 1114, 4638, 9163, 723, 1044, 6849, 7130, 1256, 2094, 519, 476, 2735, 271, 338, 269, 769, 476, 2735, 272, 267, 621, 4667, 1004, 941, 711, 607, 1930, 547, 28305, 338, 607, 3254, 1282, 519, 968, 295, 558, 18400, 14195, 6100, 13067, 2684, 11131, 5208, 1031, 547, 581, 11342, 607, 1004, 1131, 12235, 5798, 693, 14447, 1004, 543, 741, 6517, 538, 14447, 13063, 269, 13067, 18400, 338, 849, 1185, 547, 4308, 609, 512, 13550, 338, 543, 14247, 619, 689, 689, 8429, 5179, 1235, 685, 9486, 269, 4746, 519, 7128, 1131, 3111, 547, 4431, 16425, 547, 7125, 538, 14447, 16973, 269, 769, 1459, 1554, 267, 1175, 476, 4029 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 539, 269, 20661, 602, 1810, 1406, 1205, 2614, 7513, 949, 1628, 513, 2783, 1572, 21404, 267, 538, 799, 519, 7633, 8774, 7513, 543, 1831, 4617, 543, 849, 28221, 269, 4658, 609, 21404, 2230, 693, 1164, 1981, 540, 5642, 18655, 563, 1805, 3224, 1756, 568, 513, 8988, 23469, 22279, 3618, 4496, 602, 568, 849, 29779, 14091, 367, 368, 30319, 7513, 269, 853, 3224, 1756, 4818, 2432, 732, 2864, 1455, 543, 849, 723, 513, 3099, 540, 3096, 31539, 32030, 2097, 9160, 547, 26025, 269, 769, 32030, 267, 1193, 2632, 1756, 7135, 3132, 2620, 2699, 30762, 269, 769, 26025, 267, 3870, 519, 835, 3182, 3293, 538, 519, 8201, 10964, 578, 267, 519, 7623, 1193, 2632, 1756, 17296, 6971, 5694, 8417, 563, 6440, 3344, 538, 1895, 476, 273, 519, 519, 6296, 3349, 616, 29805, 22279, 3618, 8407, 269, 1358, 4055, 3623, 854, 610, 12457, 1651, 565, 528, 269, 1358, 616, 849, 9425, 2571, 543, 849, 1970, 538, 5860, 563, 6440, 1325, 330, 13824, 4541, 8407, 616, 2731, 19535, 1317, 789, 11593, 2285, 909, 741, 1079, 32447, 6475, 547, 9585, 513, 2347, 856, 7967, 1458, 1377, 267, 1775, 544, 20994, 568, 519, 1082, 7123, 1544, 540, 9211, 269, 1234, 13808, 25242, 689, 519, 8445, 547, 519, 5377, 519, 519, 1895, 563, 6440, 1806, 540, 22279, 4541, 8407, 1331, 7513, 267, 799, 568, 2838, 585, 4396, 7633, 267, 543, 1193, 2632, 1756, 267, 1775, 544, 20994, 568, 3177, 585, 1118, 9160, 543, 849, 824, 2472, 563, 4263, 519, 20170, 547, 15745, 267, 7747, 875, 2185, 1114, 22279, 3618, 8407, 2746, 609, 4248, 269, 2991, 9625, 596, 4585, 519, 3381, 267, 2626, 519, 28780, 2630, 563, 272, 269, 13772, 519, 5114, 538, 519, 3381, 267, 543, 849, 1287, 4087, 519, 22279, 3618, 8407, 689, 1082, 547, 519, 1360, 2547, 19535, 642, 1216, 563, 273, 269, 1548, 6941, 519, 21441, 538, 2746, 2032, 888, 274, 269, 2871, 612, 519, 2746, 2032, 540, 536, 2044, 961, 1756, 642, 1216, 269, 7316, 1131, 621, 3514, 538, 1200, 20823, 888, 275, 269, 1548, 11357, 560, 1734, 732, 2919, 538, 1142, 5114, 602, 596, 4767, 538, 519, 3381, 888, 272, 269, 1548, 616, 22279, 4541, 8407, 286, 1548, 616, 741, 6323, 3601, 888, 273, 269, 4208, 4055, 22279, 4541, 8407, 1360, 19535, 888, 274, 269, 14424, 543, 849, 4334, 519, 2746, 2032, 519, 536, 2044, 961, 1756, 630, 6826, 264, 543, 536, 10740, 630, 289, 320, 1916, 23322, 2524, 540, 2319, 476, 1240, 540, 519, 2834, 3349, 563, 6440, 2697, 519, 8821, 5586, 1162, 563, 6440, 1592, 3601, 519, 8821, 5586, 1162, 563, 6440, 2491, 519, 1875, 516, 13808, 602, 8821, 5586, 1162, 663, 1175, 875, 621, 568, 1644, 547, 519, 24934, 564, 4341, 563, 302, 10798, 267, 26775, 31148, 616, 1769, 267, 2705, 789, 2461, 711, 602, 1769, 256, 901, 535, 4545, 3814, 25135, 14653, 5713, 547, 1118, 519, 2303, 602, 26775, 568, 1851, 519, 1769, 652, 324, 6123, 269, 4477, 1756, 12851, 2097, 513, 1895, 540, 18125, 1572, 519, 15626, 9362, 563, 1432, 4055, 32201, 717, 1162, 888, 301, 984, 548, 9362, 732, 1875, 516, 5562, 267, 1875, 5471, 718, 823, 6123, 514, 1895, 476, 1240, 602, 519, 6296, 3349, 269, 1306, 596, 723, 519, 1318, 547, 1294, 538, 519, 2834, 3349, 538, 8201, 10964, 578, 267, 15626, 9362, 7854, 26775, 630, 3891, 1070, 19440, 630, 10468, 1070, 2415, 517, 630, 6635, 1070, 737, 7973, 517, 630, 298, 337, 1070, 30542, 517, 630, 311, 324, 1070, 543, 849, 2234, 517, 630, 305, 333, 1040, 2353, 15626, 9362, 616, 2681, 1652, 543, 849, 17627, 1652, 269, 1358, 849, 723, 1970, 2692, 4979, 9557, 267, 7713, 1946, 789, 4055, 9362, 538, 9625, 4055, 339, 17687, 269, 7101, 517, 267, 693, 519, 5377, 602, 519, 1895, 267, 568, 14599, 267, 865, 519, 7683, 1232, 904, 2097, 522, 11004, 6123, 269, 1280, 606, 5140, 7650, 519, 519, 15626, 9362, 267, 9219, 519, 3381, 693, 713, 15745, 912, 6440, 2097, 1451, 875, 519, 15626, 9362, 547, 581, 4362, 267, 979, 547, 713, 15745, 281, 10674, 2517, 4178, 28938, 2593, 11320, 2255, 286, 341, 284, 576, 304, 16039, 1789, 291, 1626, 292, 563, 6440, 547, 2263, 3877, 15626, 9362, 267, 4945, 741, 4191, 538, 519, 2834, 3349, 538, 9625, 713, 15745, 281, 10674, 2517, 4178, 269, 696, 762, 2593, 270, 563, 304, 281, 17780, 9625, 1657, 741, 2990, 538, 519, 2834, 3349, 630, 8201, 629, 913, 1070, 875, 3875, 32447, 19491, 6425, 4777, 596, 1589, 15626, 9362, 723, 888, 288, 281, 763, 1297, 540, 32447, 19491, 6425, 11034, 338, 693, 835, 585, 2609, 538, 1895, 476, 272, 269, 2334, 1287, 14380, 676, 835, 5065, 2451, 2097, 1318, 2066, 1142, 1974, 630, 992, 264, 519, 519, 13350, 3349, 585, 2516, 476, 272, 1700, 273, 543, 476, 1724, 1700, 1240, 269, 4475, 267, 15626, 9362, 723, 2965, 5216, 32447, 9211, 563, 31367, 2470, 540, 32201, 717, 1162, 454, 301, 984, 548, 9362, 616, 519, 519, 1360, 2547, 19535, 519, 782, 1134, 8153, 2609, 269, 2334, 779, 1317, 609, 5216, 32447, 19491, 6425, 267, 707, 9018, 1379, 2157, 616, 2407, 269, 634, 1152, 608, 18277, 568, 26775, 267, 799, 814, 2965, 1175, 1079, 9211, 269, 8616, 26775, 10123, 814, 513, 2347, 856, 7967, 1458, 1377, 267, 1813, 547, 519, 1249, 602, 922, 1152, 1379, 1377, 630, 24479, 1377, 476, 272, 264, 666, 3180, 513, 23295, 540, 1079, 9211, 269, 589, 2347, 9018, 1379, 1377, 568, 519, 1082, 7123, 14764, 540, 9211, 269, 1306, 513, 1267, 267, 15626, 9362, 3112, 1831, 606, 970, 7123, 676, 32232, 609, 824, 2609, 543, 849, 11543, 610, 17766, 32447, 9211, 269, 4475, 267, 15626, 9362, 2230, 10355, 28337, 1651, 8707, 6547, 663, 18374, 2760, 1106, 4818, 895, 1873, 603, 824, 2609, 563, 301, 984, 548, 717, 1162, 543, 849, 519, 12914, 564, 14329, 454, 10303, 519, 15626, 9362, 4055, 519, 2547, 19535, 540, 1169, 2609, 267, 707, 5216, 32447, 6475, 616, 6035, 607, 519, 6671, 585, 1875, 516, 13808, 543, 547, 4766, 875, 824, 2609, 2170, 269, 901, 568, 29064, 607, 519, 12354, 564, 12462, 16766, 602, 5216, 14615, 4341, 269, 7427, 547, 713, 4341, 267, 520, 1682, 516, 716, 2097, 1106, 4818, 895, 560, 1002, 5512, 873, 547, 723, 2965, 513, 2319, 540, 5216, 32447, 9211, 3442, 519, 15626, 9362, 269, 1280, 1383, 267, 9770, 630, 5976, 835, 32447, 6475, 264, 23465, 998, 20841, 630, 5976, 476, 278, 32447, 9211, 264, 547, 1106, 519, 7123, 7623, 9770, 17296, 630, 14456, 6070, 1040, 769, 713, 5114, 267, 9770, 1810, 919, 606, 6475, 543, 849, 20841, 24693, 621, 267, 3246, 1142, 3693, 606, 12354, 564, 602, 32447, 9211, 563, 5278, 3096, 540, 32201, 717, 1162, 454, 12441, 596, 2479, 1205, 26775, 31148, 3870, 1346, 538, 519, 6679, 4605, 286, 21376, 513, 17891, 4904, 642, 2011, 267, 513, 17891, 4904, 609, 26775, 7569, 547, 621, 568, 538, 22051, 1524, 865, 519, 4465, 1406, 10581, 2484, 2443, 4352, 3659, 1810, 1406, 991, 547, 946, 606, 17707, 256, 563, 304, 281, 3963, 1281, 513, 26775, 17891, 10581, 2484, 952, 621, 779, 711, 22051, 1524, 888, 288, 281, 13900, 1756, 520, 1682, 17647, 3274, 1000, 641, 8527, 976, 267, 1000, 821, 583, 6425, 267, 543, 849, 1079, 9211, 267, 585, 713, 2601, 789, 723, 2965, 1447, 7372, 982, 1022, 2186, 540, 824, 8444, 4849, 7250, 269, 8625, 513, 1267, 267, 26775, 568, 14402, 982, 2011, 267, 7713, 1946, 513, 26775, 17891, 6083, 1846, 909, 1318, 883, 519, 2011, 8259, 22051, 1524, 563, 15900, 1651, 663, 27853, 1769, 15620, 267, 3442, 519, 835, 3182, 3293, 538, 519, 8201, 10964, 578, 267, 4769, 1406, 2063, 2731, 1279, 269, 634, 2083, 14613, 3533, 8774, 856, 269, 4014, 2011, 729, 29253, 519, 1439, 540, 519, 15941, 267, 519, 7012, 1406, 513, 2347, 12511, 269, 27488, 538, 519, 1507, 2179, 602, 2011, 9363, 3330, 519, 1769, 15090, 2746, 539, 609, 519, 4496, 27129, 269, 901, 30599, 4765, 519, 27129, 543, 3361, 4158, 6300, 593, 519, 4837, 269, 32449, 621, 2394, 621, 568, 2407, 513, 1769, 15941, 642, 2415, 517, 3154, 30417, 891, 2042, 269, 2334, 779, 1946, 2413, 1769, 15620, 4055, 4904, 609, 2415, 517, 563, 304, 281, 1692, 1281, 2415, 517, 2149, 1996, 519, 2042, 540, 25656, 1769, 15620, 888, 288, 281, 2026, 513, 15626, 3154, 609, 5216, 9211, 267, 2415, 517, 3085, 1406, 2746, 609, 519, 5374, 538, 519, 27129, 269, 901, 14014, 519, 27129, 543, 849, 8952, 519, 4837, 1025, 889, 11207, 1863, 540, 12074, 563, 301, 984, 548, 9362, 616, 10123, 1031, 547, 547, 6445, 519, 4837, 10612, 540, 1769, 539, 4191, 899, 519, 835, 538, 519, 8201, 10964, 578, 269, 7982, 15626, 9362, 2230, 26947, 1875, 516, 5562, 267, 741, 9211, 17330, 547, 581, 10069, 1242, 676, 11488, 606, 26104, 1699, 10843, 873, 269, 1879, 713, 4523, 267, 519, 9211, 2196, 547, 513, 2031, 515, 1066, 1458, 1377, 269, 1879, 519, 9211, 2132, 547, 741, 3312, 1648, 1377, 267, 789, 2285, 1055, 1648, 607, 1769, 269, 7756, 15626, 9362, 2285, 1055, 23735, 5573, 540, 1114, 4778, 269, 3026, 517, 3947, 1055, 26070, 11399, 1052, 1769, 267, 899, 519, 6805, 968, 15411, 892, 538, 519, 1129, 2630, 269, 918, 7973, 517, 3091, 1055, 642, 14489, 1769, 543, 849, 30542, 517, 3091, 1055, 4544, 1769, 563, 6440, 32201, 9362, 4055, 1875, 516, 5562, 267, 1875, 5471, 28351, 3344, 538, 1895, 476, 1240, 519, 519, 2834, 3349, 563, 6440, 32201, 9362, 2230, 519, 2547, 19535, 540, 782, 2609, 269, 2334, 779, 1317, 789, 723, 2965, 5216, 32447, 9211, 267, 799, 547, 6445, 741, 856, 7967, 1458, 1377, 269, 901, 568, 519, 1082, 7123, 14764, 540, 9211, 267, 585, 713, 2601, 15626, 9362, 10355, 2746, 609, 1585, 824, 2609, 543, 849, 1106, 4818, 2432, 563, 6440, 634, 24934, 564, 5947, 652, 919, 602, 520, 1682, 516, 716, 547, 1106, 7135, 602, 5512, 873, 547, 723, 2965, 5216, 32447, 9211, 899, 519, 15626, 9362, 267, 799, 4055, 519, 519, 1360, 2547, 19535, 2609, 563, 6440, 32201, 9362, 616, 6035, 585, 31148, 267, 1769, 15620, 267, 543, 1769, 539, 4191, 563, 19400, 519, 3381, 17157, 827, 15626, 9362, 538, 9625, 519, 735, 2391, 609, 15745, 267, 543, 1287, 2626, 519, 2055, 2630, 563, 272, 269, 14424, 543, 4334, 519, 2746, 2032, 540, 519, 3344, 26775, 267, 19440, 267, 2415, 517, 267, 737, 7973, 517, 267, 543, 849, 30542, 517, 563, 273, 269, 1677, 5635, 519, 11098, 540, 891, 15626, 9362, 2097, 519, 5860, 540, 2011, 563, 274, 269, 16294, 875, 519, 7372, 540, 15626, 9362, 21810, 689, 519, 6099, 547, 519, 5377, 540, 1895, 476, 1240, 563, 272, 269, 1548, 616, 15626, 9362, 888, 273, 269, 16294, 1946, 15626, 9362, 616, 3592, 4628, 1875, 516, 5562, 563, 8450, 811, 281, 589, 853, 3558, 769, 5384, 590, 2314, 27607, 12791, 267, 4208, 1684, 4658, 17166, 968, 288, 853, 3558, 769, 5384, 590, 2314, 27607, 7536, 274, 269, 1548, 568, 519, 12354, 564, 4341, 286, 1175, 875, 568, 621, 7255, 15626, 9362, 888, 275, 269, 25756, 630, 295, 264, 8444, 723, 835, 6475, 543, 2291, 1927, 1019, 30061, 12462, 18314, 27408, 558, 14615, 6675, 630, 295, 273, 1040, 4477, 1756, 8444, 723, 2965, 1079, 9211, 543, 849, 2291, 1175, 607, 22072, 26775, 8444, 269, 16294, 1946, 7250, 543, 849, 26775, 1114, 538, 713, 1259, 269, 0, 288, 1007, 1286, 8254, 568, 1631, 2139, 593, 519, 2344, 267, 855, 519, 1883, 2243, 568, 875, 798, 596, 1118, 621, 960, 13964, 888, 763, 1883, 3017, 568, 602, 519, 8254, 568, 13324, 676, 513, 13863, 602, 814, 606, 9804, 24680, 4183, 563, 2005, 814, 519, 12588, 547, 1491, 2592, 602, 616, 3677, 982, 519, 2450, 540, 513, 2582, 18920, 593, 519, 5496, 540, 513, 16335, 563, 2414, 1711, 519, 1198, 267, 519, 13863, 779, 9804, 24680, 568, 4294, 547, 513, 8666, 540, 513, 1808, 1858, 563, 763, 8254, 3217, 519, 3239, 543, 519, 16267, 10039, 513, 6310, 4542, 547, 5173, 519, 2450, 543, 3337, 540, 519, 3239, 602, 568, 1287, 1031, 547, 5173, 1018, 568, 593, 519, 3239, 563, 2252, 596, 24680, 538, 593, 513, 1808, 851, 540, 519, 1858, 267, 596, 666, 1294, 519, 1858, 1689, 2450, 563, 763, 1184, 568, 9247, 2147, 547, 519, 1259, 602, 519, 2780, 779, 3239, 4393, 1062, 2306, 606, 3239, 540, 513, 4062, 540, 1344, 543, 1287, 10039, 513, 3337, 543, 2450, 5690, 547, 602, 3239, 563, 1607, 1505, 540, 1818, 606, 3239, 960, 13964, 814, 1044, 1031, 676, 1286, 3549, 899, 5292, 802, 342, 10402, 543, 22720, 310, 547, 1118 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 276, 265, 1377, 267, 11173, 607, 513, 4759, 540, 519, 7043, 1149, 30264, 296, 808, 18804, 2622, 19067, 26774, 3345, 1977, 13477, 538, 476, 1708, 273, 563, 1607, 23318, 5205, 1079, 3810, 8966, 855, 3811, 1296, 950, 519, 1397, 729, 17303, 882, 11343, 13964, 547, 519, 8347, 517, 4139, 4982, 652, 6929, 4741, 630, 2316, 4488, 264, 607, 513, 1267, 540, 519, 27649, 6855, 269, 634, 654, 296, 9391, 2319, 20475, 25442, 7071, 547, 519, 654, 296, 9391, 13384, 832, 543, 4803, 6002, 607, 1134, 607, 519, 30263, 4488, 2319, 945, 941, 8465, 543, 11215, 540, 654, 296, 9391, 1282, 713, 942, 540, 5912, 563, 2750, 322, 1746, 1715, 3848, 12968, 1681, 654, 296, 9391, 3778, 543, 28673, 454, 303, 2056, 30264, 296, 543, 2475, 9128, 3803, 13170, 267, 519, 476, 5038, 628, 7160, 540, 519, 8978, 6735, 786, 581, 4371, 744, 322, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 1015, 281, 4980, 22899, 24238, 543, 8682, 5336, 534, 1771, 538, 519, 31071, 692, 296, 269, 4985, 692, 1103, 2221, 781, 3728, 19550, 960, 5054, 267, 621, 814, 1831, 5051, 1271, 585, 3906, 547, 1445, 593, 741, 5520, 262, 2790, 1072, 543, 2949, 1134, 5630, 269, 901, 3184, 12538, 883, 1585, 2994, 602, 2043, 666, 9772, 547, 4383, 2566, 543, 11349, 11009, 9066, 607, 513, 1907, 585, 1582, 25298, 543, 1582, 31193, 538, 519, 9036, 269, 634, 1739, 3584, 786, 581, 5941, 538, 1469, 1384, 265, 4197, 2566, 543, 922, 1764, 593, 2790, 1072, 454, 265, 28038, 11009, 9066, 454, 265, 15043, 1582, 18221, 998, 11009, 2259, 454, 265, 16792, 11009, 2553, 538, 5883, 2566, 693, 960, 454, 265, 12861, 513, 10531, 1582, 13282, 6296, 692, 2862, 269, 4197, 13262, 543, 4706, 8177, 593, 10076, 2657, 692, 29590, 568, 513, 2067, 3210, 547, 4101, 3871, 282, 2705, 267, 12675, 4598, 547, 21500, 949, 1291, 547, 2942, 4539, 1312, 9308, 543, 15508, 630, 10870, 1156, 1696, 620, 1421, 476, 1001, 277, 1040, 769, 519, 9036, 267, 1455, 2959, 540, 2566, 1331, 1164, 2816, 7569, 267, 4057, 2324, 2175, 267, 1909, 13509, 267, 3668, 540, 1514, 1489, 267, 543, 14375, 7526, 630, 299, 24926, 1299, 15651, 267, 476, 1001, 273, 1040, 18127, 2566, 814, 1044, 5532, 547, 1896, 2790, 1072, 2152, 971, 607, 4160, 4713, 267, 4965, 267, 3207, 18063, 267, 543, 6219, 6057, 630, 295, 334, 613, 1696, 620, 1421, 476, 1001, 275, 1040, 4475, 267, 3384, 2500, 12003, 6127, 3587, 2629, 538, 4509, 6099, 2790, 1072, 1247, 10188, 14053, 960, 5468, 780, 7656, 269, 28038, 24238, 25990, 692, 21790, 6888, 9066, 24865, 689, 14418, 5389, 543, 3322, 9878, 3007, 547, 519, 1459, 4090, 1510, 10385, 630, 298, 1263, 1696, 620, 1421, 476, 1001, 272, 1040, 1635, 17543, 2519, 593, 4555, 267, 4664, 267, 2168, 17915, 267, 543, 5007, 15128, 267, 9439, 2832, 547, 11349, 1875, 3146, 13808, 267, 7279, 267, 543, 10343, 2509, 741, 2833, 630, 2419, 625, 320, 1299, 5689, 514, 22603, 267, 476, 1001, 272, 1040, 3683, 942, 267, 713, 15398, 1533, 540, 9637, 2636, 2043, 547, 4431, 3082, 1947, 547, 21500, 2864, 982, 2746, 791, 6160, 1947, 267, 7551, 5807, 1732, 3375, 6194, 1983, 267, 4824, 7553, 7939, 267, 543, 8476, 5042, 2773, 630, 31342, 1696, 620, 1421, 476, 1001, 276, 6393, 4353, 269, 15043, 8682, 5025, 16346, 3414, 24238, 6657, 692, 20236, 18221, 4016, 547, 606, 1367, 781, 2702, 547, 8308, 13498, 741, 1378, 4606, 267, 4555, 267, 5615, 267, 543, 2418, 630, 305, 573, 2917, 1696, 620, 1421, 476, 1001, 279, 1040, 12056, 538, 2834, 11009, 9066, 2259, 16881, 1582, 18221, 1646, 676, 7393, 18906, 1308, 1852, 267, 1558, 659, 10744, 267, 543, 1560, 4656, 630, 294, 1484, 2006, 1696, 620, 1421, 476, 1220, 275, 1040, 1306, 513, 1267, 267, 5520, 945, 5781, 4497, 538, 11009, 5751, 616, 811, 2693, 547, 5431, 2038, 4191, 540, 2566, 267, 7175, 873, 547, 2936, 3617, 1582, 13282, 2994, 30082, 780, 309, 269, 16792, 24238, 9828, 538, 19737, 13262, 693, 4518, 692, 26452, 11009, 2553, 666, 581, 4294, 2429, 519, 1554, 547, 948, 11574, 2566, 6114, 3927, 269, 2368, 4052, 3156, 1331, 1384, 265, 9650, 995, 7244, 281, 29760, 593, 519, 14815, 540, 2011, 10024, 543, 6028, 519, 19911, 337, 2812, 1282, 19344, 2337, 19671, 3007, 538, 519, 1459, 4090, 267, 4227, 15555, 1588, 543, 5855, 563, 265, 10610, 11571, 9066, 281, 3590, 5597, 11504, 547, 1114, 2694, 540, 519, 1560, 543, 16089, 8082, 8992, 11005, 543, 4679, 954, 334, 21082, 4656, 563, 265, 700, 8221, 29292, 1145, 9066, 281, 9198, 908, 17519, 16858, 2509, 13951, 543, 1866, 11942, 6568, 267, 6971, 29383, 267, 543, 10607, 14375, 3347, 563, 265, 9650, 995, 6972, 281, 9796, 532, 2673, 3007, 547, 519, 17915, 2404, 609, 1142, 1900, 7512, 27733, 267, 9355, 267, 543, 9350, 1145, 1282, 9397, 610, 13289, 1063, 4247, 780, 9654, 269, 12861, 513, 9608, 1242, 8682, 4211, 732, 13705, 710, 692, 18204, 7992, 11009, 2853, 1369, 513, 11455, 1582, 13282, 6296, 666, 2417, 11126, 2790, 1072, 543, 1134, 5630, 269, 22020, 540, 513, 10531, 1582, 13282, 1544, 1522, 7854, 1384, 265, 8447, 3635, 281, 8617, 6278, 538, 20659, 2238, 899, 28185, 3101, 267, 10977, 267, 610, 15203, 13847, 1439, 6973, 1231, 267, 799, 3565, 547, 7099, 19349, 543, 2566, 5786, 563, 265, 29615, 12930, 3207, 9882, 281, 26875, 1944, 5812, 5127, 9392, 267, 10893, 5907, 3926, 6165, 1354, 12008, 267, 543, 2870, 1964, 995, 5054, 7028, 2635, 27266, 18819, 543, 11808, 3157, 563, 265, 7195, 2331, 6484, 281, 3117, 11167, 8770, 1673, 1619, 6980, 2488, 13455, 1648, 2157, 543, 1898, 25050, 19153, 2838, 585, 6099, 2634, 1599, 543, 2566, 6043, 563, 265, 4317, 4296, 281, 674, 29183, 6209, 3347, 609, 9164, 267, 2828, 267, 543, 1920, 2818, 25389, 2596, 1480, 2115, 585, 10362, 543, 13613, 267, 7700, 547, 2949, 8788, 543, 1272, 9547, 780, 6962, 692, 3528, 6220, 11009, 9066, 543, 824, 1582, 13282, 2853, 883, 3232, 13467, 267, 5520, 666, 3927, 4383, 2566, 267, 3986, 1582, 18221, 267, 543, 3895, 2790, 1072, 538, 519, 9036, 269, 20871, 849, 4324, 689, 4389, 15534, 2465, 1143, 3928, 267, 2799, 7607, 267, 543, 4824, 10721, 2916, 950, 789, 5000, 543, 1489, 891, 2963, 2861, 2994, 1851, 741, 5234, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 20524, 519, 9670, 2081, 547, 1489, 707, 5520, 685, 2790, 1072, 543, 2087, 2754, 2359, 538, 1175, 476, 280, 2241, 2055, 563, 2171, 666, 1489, 938, 5520, 676, 5009, 9441, 1134, 5630, 267, 2810, 2790, 1072, 4656, 267, 7598, 2566, 5786, 2553, 267, 5355, 519, 9036, 1604, 267, 8716, 513, 2318, 2790, 10182, 267, 3246, 3929, 4987, 2866, 267, 5009, 1582, 13282, 2853, 267, 5356, 3318, 13508, 2533, 267, 543, 7598, 5626, 3106, 3292, 563, 268, 1215, 2052, 1284, 32754, 31287, 4270, 7424, 888, 268, 1215, 2052, 1284, 25956, 13262, 22159, 9828, 585, 3776, 31740, 888, 268, 1548, 11150, 2052, 13724, 519, 31071, 5113, 888, 268, 1215, 547, 23340, 513, 15474, 10076, 5900, 3363, 7324, 31740, 888, 268, 1772, 16508, 11106, 9751, 3026, 10354, 585, 7577, 5004, 888, 268, 1548, 8682, 4211, 732, 13756, 9701, 2142, 7402, 2227, 3022, 538, 519, 31071, 888, 268, 9701, 12333, 6076, 18522, 7896, 2142, 5510, 1229, 547, 31740, 888, 268, 3657, 16723, 8881, 15789, 13229, 538, 4675, 528, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 590, 23852, 29803, 1315, 8682, 5336, 534, 1771, 1315, 13262, 5004, 1315, 24238, 25990, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 278, 281, 22518, 26930, 910, 6184, 534, 640, 16470, 692, 5331, 596, 616, 4730, 513, 3381, 3014, 1141, 596, 723, 547, 1118, 5079, 602, 3313, 875, 519, 1650, 4652, 9529, 269, 3767, 15475, 596, 2097, 2066, 513, 3510, 1141, 596, 1590, 3442, 1063, 1079, 3527, 267, 855, 596, 1810, 1405, 4628, 1174, 519, 4539, 540, 2901, 3903, 1813, 547, 513, 2790, 4576, 7133, 707, 3375, 6194, 5759, 269, 9701, 596, 1869, 581, 4371, 3743, 585, 8726, 4523, 1985, 286, 901, 2243, 6770, 721, 547, 938, 4901, 827, 7803, 5539, 543, 519, 1202, 534, 640, 8878, 780, 2691, 2576, 862, 1080, 513, 6760, 267, 789, 616, 3622, 4397, 547, 917, 1018, 789, 1705, 4636, 543, 3068, 519, 20507, 2404, 609, 741, 3527, 269, 1717, 267, 972, 616, 8320, 950, 1004, 949, 711, 581, 15508, 5827, 540, 1620, 519, 6286, 540, 741, 2623, 1813, 547, 1585, 4128, 899, 4049, 2790, 4713, 269, 1452, 2043, 1522, 946, 519, 1202, 534, 640, 8878, 1282, 741, 4693, 547, 8044, 602, 789, 3112, 581, 4371, 18177, 1317, 789, 941, 16155, 1202, 2033, 693, 519, 942, 540, 519, 25213, 269, 2913, 781, 2263, 1018, 621, 1797, 547, 581, 6309, 3373, 3743, 543, 1451, 811, 827, 519, 1202, 534, 640, 8878, 2439, 1432, 1281, 1373, 834, 322, 3234, 3373, 3743, 257, 1611, 888, 14343, 15365, 18455, 6309, 3373, 3743, 4016, 547, 8066, 513, 1268, 18177, 585, 8840, 519, 1876, 1759, 593, 519, 23350, 602, 789, 6785, 741, 3527, 941, 1996, 519, 3652, 543, 25432, 30849, 269, 1879, 14045, 2436, 513, 1268, 568, 6309, 3373, 3743, 267, 10470, 2015, 2188, 971, 607, 2085, 267, 15657, 1377, 267, 543, 2790, 4390, 269, 1280, 1383, 267, 1453, 2630, 513, 1978, 2085, 616, 3335, 2808, 24835, 762, 540, 8108, 7803, 8247, 543, 3976, 5749, 1405, 4371, 18177, 585, 741, 3765, 1372, 2644, 269, 6684, 267, 4079, 10010, 609, 1713, 2790, 1072, 2152, 1522, 849, 9101, 2407, 25112, 1464, 896, 1808, 6381, 780, 8139, 519, 6184, 534, 640, 16470, 454, 29432, 3086, 1577, 781, 4685, 883, 519, 1523, 540, 519, 1202, 534, 640, 8878, 256, 1403, 513, 24769, 13187, 602, 789, 14201, 1405, 6309, 3373, 3743, 1813, 547, 2790, 4576, 267, 789, 616, 9247, 19101, 10151, 1202, 534, 640, 12544, 2783, 602, 15286, 873, 689, 26762, 1318, 689, 4636, 1247, 22867, 519, 10363, 957, 269, 898, 781, 1271, 547, 4063, 602, 1210, 519, 1202, 534, 640, 8878, 3085, 1405, 8209, 2612, 9876, 9718, 1218, 540, 782, 16620, 282, 3079, 267, 621, 1223, 1291, 547, 4389, 10997, 610, 2366, 9760, 7003, 3050, 4470, 2390, 16278, 4031, 780, 4131, 781, 1413, 693, 930, 1883, 3344, 4478, 519, 1202, 534, 640, 8878, 1384, 2162, 2878, 15650, 540, 6184, 534, 640, 4373, 2467, 3884, 1405, 1175, 835, 4214, 540, 1202, 534, 640, 1031, 24080, 538, 3656, 8658, 269, 7756, 2829, 1246, 8795, 7355, 267, 1519, 1384, 272, 269, 2878, 296, 337, 637, 626, 1043, 6764, 592, 572, 4530, 4995, 589, 1268, 26218, 1852, 936, 741, 25372, 5103, 16734, 741, 3527, 941, 5739, 563, 273, 269, 2878, 29410, 540, 10076, 8376, 610, 4347, 624, 4530, 4995, 589, 2790, 2068, 610, 8919, 3366, 547, 519, 7803, 2932, 563, 274, 269, 2878, 300, 262, 301, 27895, 1084, 14329, 4995, 10705, 5219, 547, 607, 519, 834, 2431, 5288, 269, 4636, 257, 3044, 267, 13296, 519, 15034, 7948, 1405, 10646, 1318, 689, 4636, 1813, 547, 2790, 4576, 563, 275, 269, 2878, 291, 584, 5069, 14329, 4995, 4746, 1572, 519, 834, 29729, 1202, 534, 640, 4341, 2437, 17548, 602, 606, 1367, 3884, 1405, 16944, 952, 741, 796, 32016, 6411, 8507, 9003, 689, 513, 2790, 4524, 780, 2162, 2878, 293, 13904, 27418, 4373, 5278, 1164, 3491, 12803, 2665, 723, 4547, 3007, 547, 519, 10848, 3238, 538, 7311, 519, 1202, 534, 640, 8878, 269, 2290, 8037, 3236, 3322, 3627, 670, 514, 1188, 2917, 12789, 1421, 945, 13986 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 20925, 4161, 267, 6998, 9945, 267, 3549, 543, 4830, 20682, 547, 1459, 741, 1655, 11236, 827, 519, 3262, 540, 8290, 269, 2311, 519, 1439, 540, 1142, 4005, 267, 519, 8116, 27786, 1142, 2203, 282, 713, 1032, 972, 616, 476, 3374, 269, 1656, 1318, 1631, 789, 616, 7168, 5258, 269, 27051, 3368, 1589, 602, 519, 8445, 786, 12446, 519, 2063, 3018, 540, 519, 1032, 267, 519, 1964, 25221, 5021, 3968, 3928, 538, 5130, 543, 5988, 563, 300, 3430, 8262, 3455, 560, 3530, 267, 1776, 16917, 328, 6048, 538, 519, 15509, 781, 14798, 6498, 267, 3081, 789, 3513, 723, 547, 7227, 2394, 5147, 950, 594, 723, 782, 519, 13178, 1239, 585, 519, 4005, 547, 1294, 875, 1134, 1142, 835, 5340, 269, 1809, 267, 538, 2489, 267, 646, 3081, 602, 1034, 540, 873, 666, 581, 3833, 4977, 585, 2110, 3856, 11236, 281, 513, 3018, 610, 1079, 269, 23985, 3564, 602, 543, 519, 4191, 2253, 547, 2887, 269, 2334, 781, 1317, 972, 616, 3274, 711, 1932, 1082, 1239, 585, 519, 3631, 267, 1082, 540, 799, 616, 1759, 593, 3684, 1565, 267, 547, 1451, 563, 20442, 1152, 979, 1394, 547, 519, 476, 3445, 338, 585, 930, 540, 891, 1949, 2437, 3081, 8262, 3455, 560, 3530, 269, 834, 2005, 781, 711, 899, 519, 4365, 9472, 267, 1141, 596, 723, 10473, 602, 2445, 7403, 538, 1483, 942, 689, 5215, 540, 4025, 2066, 519, 2197, 267, 649, 1175, 798, 711, 723, 602, 2186, 540, 6571, 1701, 1809, 789, 616, 3843, 547, 1205, 972, 269, 901, 786, 581, 519, 1101, 1032, 602, 15509, 786, 1683, 1533, 1377, 1239, 547, 2203, 619, 269, 2776, 16227, 789, 941, 1152, 607, 2143, 607, 519, 476, 1015, 8989, 4525, 3989, 676, 519, 4972, 540, 2657, 543, 5274, 7896, 563, 3719, 1256, 811, 1239, 1131, 581, 1732, 267, 585, 1383, 693, 519, 10315, 610, 2749, 1377, 1107, 3081, 681, 18223, 25347, 26709, 267, 513, 2780, 10196, 693, 31257, 631, 749, 517, 2160, 945, 8255, 835, 540, 519, 9781, 2516, 602, 814, 11643, 3785, 547, 519, 15509, 269, 3571, 2319, 781, 1949, 13026, 519, 1283, 1079, 7158, 538, 2063, 1032, 781, 4161, 269, 834, 763, 2770, 666, 3444, 519, 1158, 538, 513, 2339, 540, 4374, 267, 855, 922, 6384, 616, 1360, 2199, 2437, 3081, 25347, 26709, 269, 834, 4517, 649, 1175, 798, 711, 723, 1239, 1434, 2614, 585, 2199, 2175, 4799, 2414, 22771, 585, 713, 267, 25347, 26709, 781, 1895, 814, 22646, 585, 3606, 2959, 2429, 519, 1357, 269, 26157, 1239, 689, 3059, 13178, 540, 2770, 3406, 14511, 538, 5616, 267, 11564, 547, 15509, 3817, 543, 1256, 17408, 1115, 609, 3280, 689, 519, 6671, 15509, 13178, 1062, 267, 789, 8036, 606, 13128, 1565, 2203, 547, 1413, 6619, 543, 1118, 11236, 827, 2104, 2534, 540, 519, 2770, 269, 834, 763, 15509, 20925, 11036, 814, 2944, 865, 1454, 547, 5818, 713, 2361, 538, 513, 2110, 1974, 540, 942, 2437, 3081, 25347, 26709, 269, 834, 2005, 781, 1044, 1447, 982, 513, 8717, 2094, 2576, 2219, 713, 729, 1256, 513, 7872, 4799, 19136, 3455, 560, 3530, 543, 4469, 534, 1676, 344, 4126, 602, 609, 811, 942, 543, 811, 1382, 789, 666, 1788, 835, 610, 1079, 3275, 883, 519, 2104, 269, 2334, 1131, 2731, 1450, 10506, 547, 1205, 6619, 540, 519, 2333, 538, 1931, 547, 2333, 741, 5234, 543, 1683, 930, 23473, 547, 1857, 1072, 8387, 945, 616, 6117, 12674, 11044, 593, 519, 2666, 269, 834, 3086, 602, 1152, 4523, 1310, 649, 4312, 2938, 519, 1101, 4191, 998, 519, 13178, 1239, 2437, 3081, 8262, 3455, 560, 3530, 269, 769, 824, 1913, 267, 513, 1895, 540, 1004, 1185, 547, 1205, 7210, 547, 1376, 7487, 32049, 24657, 543, 1205, 7125, 689, 707, 4387, 781, 5604, 269, 769, 513, 1158, 1141, 519, 9472, 5249, 267, 646, 1223, 723, 1044, 8391, 602, 3377, 1354, 782, 1010, 1071, 22086, 619, 3459, 547, 2887, 899, 13733, 269, 834, 2252, 649, 1223, 1847, 602, 15415, 513, 1906, 811, 4374, 267, 649, 1223, 1521, 513, 2603, 811, 1004, 1318, 693, 519, 1376, 540, 2770, 2534, 3079, 540, 7996, 585, 621, 547, 3262, 543, 14556, 1518, 4799, 2005, 1131, 723, 1044, 3730, 713, 1032, 269, 2060, 519, 8445, 5732, 21177, 1282, 519, 14812, 267, 1082, 7189, 262, 13646, 267, 30229, 19190, 543, 10506, 786, 581, 4881, 20258, 1212, 9749, 267, 1256, 950, 519, 10782, 568, 827, 547, 5734, 269, 6481, 3173, 723, 6829, 6161, 827, 519, 7145, 540, 713, 1032, 781, 14798, 6669, 1996, 519, 1034, 3978, 8833, 281, 670, 274, 301, 273, 269, 5221, 2770, 4573, 919, 865, 6385, 538, 865, 1082, 1114, 12490, 267, 519, 6669, 1169, 1032, 568, 2189, 267, 2966, 547, 3077, 1152, 519, 12490, 602, 616, 1034, 2693, 547, 2014, 519, 1034, 3441, 1985, 4005, 269, 4340, 547, 519, 15509, 1239, 267, 670, 274, 301, 273, 568, 4867, 519, 1034, 7986, 8833, 602, 6818, 267, 3743, 585, 476, 3445, 2600, 540, 5563, 2094, 5239, 269, 1656, 621, 568, 519, 1034, 2693, 547, 6494, 1453, 543, 519, 11361, 547, 519, 6413, 563, 763, 1482, 8833, 849, 2392, 558, 3990, 538, 5245, 267, 799, 4810, 2594, 14798, 3928, 2063, 4005, 269, 12989, 267, 519, 6669, 729, 1152, 476, 1015, 2600, 2500, 1996, 670, 274, 301, 273, 267, 543, 519, 5888, 540, 519, 6669, 267, 799, 14014, 1996, 1614, 824, 2010, 540, 2770, 538, 1840, 547, 670, 274, 301, 273, 267, 568, 519, 1482, 607, 602, 1031, 538, 519, 2475, 269, 772, 308, 1280, 1631, 267, 621, 781, 519, 1655, 972, 568, 267, 543, 6236, 875, 1082, 15361, 519, 14798, 3644, 814, 3893, 883, 922, 20188, 23508, 267, 621, 781, 7415, 602, 3744, 723, 2813, 835, 602, 1568, 693, 782, 269, 4107, 1296, 267, 519, 6669, 6971, 519, 4960, 540, 3478, 519, 2770, 538, 3368, 282, 519, 12918, 723, 588, 6817, 693, 26027, 585, 5756, 563, 3719, 602, 814, 711, 11074, 3173, 689, 13197, 1945, 1256, 8273, 281, 513, 6669, 602, 666, 8396, 782, 2010, 540, 519, 3644, 269, 1656, 1631, 789, 616, 6251, 982, 2479, 269, 769, 5239, 267, 3744, 538, 519, 2136, 8003, 3459, 679, 13764, 476, 273, 267, 1822, 2937, 2550, 585, 513, 1079, 4458, 4791, 4693, 547, 1449, 513, 8471, 6669, 267, 519, 1101, 942, 971, 2126, 814, 27636, 3564, 519, 5123, 835, 4693, 269, 634, 6669, 267, 2919, 676, 519, 2160, 540, 10228, 543, 513, 8095, 13050, 24684, 2754, 1572, 17261, 924, 577, 267, 786, 15313, 476, 4335, 3703, 5396, 713, 4005, 267, 543, 519, 1964, 1282, 519, 476, 1001, 279, 270, 866, 4005, 269, 1403, 1568, 267, 621, 1131, 581, 519, 1826, 540, 8929, 602, 1131, 1152, 991, 1169, 1906, 1296, 563, 29128, 602, 4523, 267, 596, 949, 1616, 547, 22545, 856, 602, 2370, 30414, 32521, 1354, 596, 979, 1753, 269, 3807, 1118, 2386, 596, 1289, 1101, 269, 1411, 786, 711, 581, 519, 1152, 835, 945, 6499, 621, 269, 0, 14138, 276, 918, 21417, 17754, 6409, 333, 918, 454, 307, 331, 325, 281, 476, 3374, 476, 3953, 476, 2764, 476, 7176, 630, 3000, 6253, 2720, 994, 18693, 558, 574, 7497, 267, 849, 1572, 536, 542, 923, 267, 568, 519, 6639, 17932, 787, 540, 1272, 269, 5440, 17695, 626, 540, 8790, 574, 7497, 814, 14437, 547, 519, 2160, 5403, 1354, 1010, 2911, 538, 10515, 32683, 13723, 454, 2304, 19038, 3363, 547, 17932, 1272, 2443, 8790, 574, 7497, 941, 4535, 538, 519, 476, 4198, 271, 338, 950, 267, 1310, 11287, 519, 13285, 540, 513, 2695, 573, 267, 1979, 19398, 545, 626, 543, 14671, 987, 32572, 5576, 18283, 267, 2919, 519, 865, 10777, 5576, 18283, 9594, 269, 4595, 1287, 267, 2029, 814, 708, 18469, 2470, 3875, 2053, 267, 4611, 538, 18563, 8151, 689, 6063, 23145, 630, 1231, 18944, 676, 519, 2370, 29945, 1336, 538, 3276, 337, 4829, 1070, 547, 5841, 8849, 5121, 267, 799, 2285, 5904, 519, 2702, 547, 4612, 4633, 267, 13002, 267, 543, 3308, 15128, 563, 1607, 4483, 689, 7350, 547, 2029, 267, 568, 1018, 3220, 269, 30486, 27673, 786, 1865, 538, 1010, 31369, 2911, 585, 5171, 540, 519, 14400, 3427, 281, 9232, 1103, 2617, 566, 6273, 676, 7186, 6100, 634, 2911, 786, 1376, 693, 476, 272, 281, 876, 10975, 593, 13723, 476, 2764, 4864, 267, 543, 786, 1491, 1747, 693, 519, 22456, 267, 693, 10515, 32683, 6355, 3427, 630, 290, 7034, 1916, 10527, 6602, 540, 513, 1007, 2029, 666, 581, 1500, 3274, 676, 3168, 693, 513, 2067, 1062, 543, 1620, 922, 1599, 5608, 3081, 3220, 269, 30486, 27673, 563, 4913, 267, 8790, 574, 7497, 568, 711, 602, 2241, 267, 646, 12211, 547, 519, 2160, 5403, 269, 9861, 3222, 540, 968, 1492, 7164, 1634, 892, 2443, 1919, 649, 1810, 1406, 917, 602, 649, 917, 2443, 568, 2141, 519, 7887, 4161, 538, 3384, 519, 2361, 563, 29467, 616, 1919, 649, 1810, 1406, 723, 1569, 547, 267, 1813, 547, 1004, 779, 12402, 547, 7941, 909, 1702, 883, 1114, 2127, 5608, 27673, 3081, 563, 2108, 11997, 267, 835, 540, 519, 1919, 649, 991, 547, 798, 267, 543, 713, 568, 519, 968, 684, 4385, 1634, 5608, 568, 547, 960, 856, 875, 547, 8115, 1063, 1114, 10459, 267, 865, 596, 666, 1491, 513, 1267, 689, 835, 9015, 543, 4019, 621, 547, 1776, 11207, 1114, 9015, 9731, 288, 1426, 10196, 945, 6499, 547, 2736, 513, 6079, 267, 4465, 1406, 2307, 513, 7777, 690, 626, 267, 945, 9397, 19987, 267, 585, 5796, 267, 1256, 1498, 519, 4480, 1131, 581, 519, 1482, 267, 3220, 269, 27673, 6941, 269, 898, 568, 713, 2186, 540, 14694, 3206, 602, 8790, 574, 7497, 7512, 563, 1103, 1931, 547, 8011, 835, 1590, 1589, 538, 2474, 540, 1599, 267, 646, 3081, 269, 1403, 596, 1589, 693, 519, 1614, 2665, 5892, 4330, 267, 519, 1599, 568, 519, 1482, 782, 540, 873, 267, 855, 519, 1259, 267, 540, 799, 713, 1599, 568, 4294, 267, 621, 568, 1114, 563, 4263, 1010, 29519, 1985, 13723, 267, 646, 786, 2911, 827, 875, 835, 666, 5544, 3252, 543, 8115, 1063, 1585, 10459, 267, 1317, 968, 517, 576, 596, 616, 2111, 540, 3257, 602, 267, 621, 568, 11212, 2653, 547, 581, 3860, 269, 898, 568, 513, 12805, 3014, 9731, 12024, 721, 593, 9365, 585, 2934, 267, 10274, 543, 4388, 593, 14232, 2621, 269, 7427, 721, 593, 12108, 585, 6402, 547, 824, 10515, 32683, 24243, 3377, 2984, 269, 6178, 909, 585, 519, 2160, 5403, 12353, 20394, 1934, 269, 0, 12585, 593, 23317, 1923, 4039, 18356, 7726, 585, 645, 1652, 539, 454, 273, 269, 8422, 5536, 540, 13999, 544, 272, 284, 272, 269, 273, 11899, 267, 544, 273, 284, 273, 269, 276, 11899, 543, 544, 274, 284, 274, 269, 275, 11899, 454, 732, 693, 519, 14622, 540, 606, 31164, 6906, 540, 2427, 513, 815, 476, 9610, 4699, 269, 12433, 519, 8998, 540, 2527, 540, 519, 1062, 563, 23921, 513, 3728, 4274, 781, 3210, 286, 8138, 2466, 1931, 454, 663, 1205, 513, 2656, 2626, 693, 519, 1655, 3902, 454, 1721, 1022, 7084, 610, 2243, 609, 667, 4953, 288, 6579, 3633, 12327, 303, 6369, 2793, 16739, 256 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12482, 299, 648, 333, 15605, 2808, 713, 20790, 24617, 269, 2755, 930, 1522, 2070, 971, 5647, 607, 5485, 686, 5076, 1996, 2757, 2553, 267, 646, 4718, 1761, 538, 11319, 6302, 543, 3695, 17946, 14975, 11182, 269, 2991, 782, 267, 7012, 1405, 851, 540, 1373, 513, 1390, 27697, 7683, 1565, 267, 15268, 267, 543, 9687, 2496, 4415, 8990, 31960, 2066, 1010, 3068, 267, 22784, 333, 15605, 14452, 267, 834, 6546, 568, 606, 5140, 2856, 269, 2913, 721, 7832, 593, 713, 3460, 1927, 267, 12423, 1018, 13300, 24098, 950, 649, 19533, 19635, 2609, 883, 10103, 3010, 4517, 3976, 3459, 741, 3408, 883, 519, 1158, 540, 29689, 11041, 267, 1142, 11100, 5402, 18705, 547, 21592, 1808, 8286, 269, 1358, 4362, 602, 9256, 13342, 19899, 4310, 14462, 3282, 609, 31625, 1606, 525, 877, 3282, 4547, 14246, 543, 3178, 547, 741, 15040, 838, 698, 515, 26152, 989, 331, 1470, 552, 10153, 1470, 267, 13321, 621, 689, 513, 2241, 5929, 883, 513, 1950, 1623, 21620, 540, 10366, 780, 21953, 9624, 891, 11240, 725, 267, 789, 849, 4121, 3407, 4245, 827, 27047, 842, 543, 1620, 519, 7182, 540, 12879, 269, 589, 2370, 4422, 513, 1279, 1259, 267, 2523, 950, 7231, 609, 14984, 5820, 899, 1854, 742, 548, 3282, 610, 29549, 10786, 19899, 16272, 269, 18320, 1454, 1223, 3362, 8267, 332, 519, 31370, 267, 9633, 532, 2864, 982, 20020, 15070, 519, 7915, 5898, 540, 741, 13144, 780, 1607, 7045, 6039, 607, 513, 12576, 540, 519, 1379, 4371, 1369, 1256, 9583, 27217, 3334, 540, 741, 960, 269, 634, 18803, 11480, 540, 3282, 2968, 513, 3090, 540, 7872, 267, 6679, 9885, 547, 23257, 1819, 26441, 540, 8819, 1258, 5669, 10508, 269, 1656, 998, 713, 3838, 20089, 267, 789, 8057, 6251, 607, 1312, 9164, 543, 2828, 267, 3808, 676, 741, 8994, 6612, 585, 2870, 11108, 18226, 2833, 780, 2690, 538, 519, 1439, 267, 2436, 621, 729, 519, 5705, 23057, 20726, 540, 2428, 339, 1465, 791, 14975, 676, 14462, 3282, 610, 519, 12050, 24362, 9447, 676, 28140, 877, 267, 789, 6956, 602, 1142, 12146, 5129, 922, 1909, 538, 5935, 519, 10700, 22038, 540, 741, 11477, 25704, 269, 1635, 8508, 713, 5168, 267, 789, 10489, 2105, 6071, 4480, 267, 8236, 2123, 7004, 543, 6173, 908, 741, 4739, 547, 608, 531, 1540, 2157, 269, 0, 2237, 513, 8903, 1650, 1644, 547, 519, 1739, 1257, 6256, 912, 29205, 519, 1826, 540, 3282, 1031, 538, 519, 5986, 1184, 7369, 519, 9403, 543, 6492, 540, 30653, 888, 8133, 267, 519, 1826, 540, 3282, 1031, 538, 519, 5986, 1184, 666, 7369, 519, 9403, 543, 6492, 540, 30653, 269, 1280, 1383, 267, 1210, 14462, 3282, 666, 2285, 30653, 513, 5594, 2428, 1399, 8137, 267, 6466, 1210, 28140, 877, 3282, 666, 2285, 30653, 513, 811, 7920, 543, 23599, 8137, 269, 3958, 267, 1210, 1932, 1454, 3282, 666, 2014, 30653, 547, 1831, 1932, 6067, 6470, 610, 522, 1176, 267, 7133, 741, 9403, 269, 898, 781, 1271, 547, 3442, 519, 1318, 1826, 543, 2179, 540, 3282, 547, 2327, 602, 519, 30653, 2490, 856, 519, 1259, 596, 1616, 873, 547, 14325, 763, 1650, 3085, 1406, 991, 547, 2446, 3388, 538, 519, 6256, 267, 946, 621, 1175, 585, 6667, 543, 581, 3860, 2336, 763, 1650, 1058, 6451, 519, 1739, 2609, 912, 268, 15511, 281, 519, 1650, 1590, 4183, 693, 2547, 835, 6209, 5188, 602, 8761, 1915, 3178, 267, 8441, 519, 4729, 267, 610, 28807, 513, 2629, 4062, 540, 519, 9814, 3097, 268, 21624, 4798, 281, 2263, 4798, 22298, 609, 513, 9921, 5304, 267, 971, 607, 5837, 13509, 267, 16650, 14511, 267, 2123, 7004, 267, 610, 519, 4539, 540, 2250, 3527, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 834, 763, 3141, 8288, 1970, 538, 519, 6607, 257, 610, 834, 1103, 519, 27452, 1396, 2580, 581, 3860, 269, 0, 769, 513, 1507, 8498, 31314, 1063, 3039, 15113, 5030, 1079, 8049, 2828, 267, 6341, 543, 5981, 269, 1358, 6068, 3695, 519, 1158, 1472, 873, 543, 1565, 1007, 1919, 269, 2290, 13566, 1554, 267, 789, 4956, 547, 1491, 513, 3802, 676, 519, 5757, 269, 1306, 789, 588, 9776, 2059, 267, 789, 8068, 1945, 15116, 910, 513, 1804, 267, 9490, 3684, 25858, 532, 856, 3043, 8673, 2439, 30948, 593, 3618, 568, 602, 8119, 4280, 6341, 267, 1010, 4064, 2647, 1930, 780, 20694, 14452, 267, 834, 296, 1589, 621, 781, 1572, 513, 1412, 4614, 600, 2599, 9538, 594, 4862, 4651, 6158, 827, 621, 2063, 3781, 269, 898, 3096, 1945, 1572, 1412, 17742, 1648, 262, 547, 1711, 1412, 1889, 22817, 5163, 9538, 5016, 21579, 729, 19832, 269, 834, 3383, 267, 1577, 803, 1205, 713, 2786, 910, 649, 666, 946, 3002, 547, 1118, 1919, 1847, 286, 2334, 4992, 6909, 15323, 5445, 14059, 519, 812, 5665, 519, 9252, 2599, 267, 945, 24963, 6045, 875, 621, 5249, 269, 1261, 5143, 873, 827, 6276, 654, 3430, 267, 519, 23266, 945, 1185, 1500, 865, 1082, 9283, 547, 519, 3312, 1374, 269, 8729, 547, 654, 3430, 781, 10124, 267, 519, 9252, 2599, 2968, 1454, 811, 3532, 543, 3608, 267, 4657, 519, 1259, 1004, 14612, 267, 14475, 5370, 267, 543, 3484, 539, 741, 2244, 780, 2026, 2395, 5293, 267, 3377, 3262, 2429, 519, 8498, 827, 519, 13300, 540, 519, 9252, 2599, 269, 4658, 14952, 539, 693, 519, 2799, 7607, 543, 3255, 4547, 827, 676, 713, 7415, 8798, 269, 1717, 267, 711, 3025, 20888, 891, 2242, 282, 930, 941, 14126, 827, 9561, 741, 6009, 1813, 547, 6191, 2921, 936, 8261, 4074, 780, 3080, 1554, 267, 1247, 7234, 519, 2339, 267, 513, 6727, 20185, 13351, 6341, 543, 5981, 269, 634, 1482, 5647, 8744, 3356, 849, 5189, 10462, 883, 741, 2729, 269, 1358, 6956, 602, 1169, 3621, 6602, 814, 1312, 2318, 543, 2942, 4539, 269, 3245, 1287, 593, 267, 8164, 789, 11402, 1945, 1007, 267, 789, 1131, 7618, 1142, 824, 267, 834, 16631, 2306, 938, 2729, 4443, 267, 855, 1577, 721, 2760, 7340, 519, 2956, 540, 11587, 543, 1620, 2509, 1346, 4299, 1701, 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, 2690, 519, 2016, 3140, 2680, 267, 13713, 17412, 922, 4644, 267, 543, 1287, 3313, 2436, 621, 5949, 1282, 519, 21654, 610, 519, 11633, 7169, 563, 1103, 3685, 540, 519, 9252, 2599, 676, 6276, 654, 3430, 538, 476, 12293, 280, 563, 763, 8798, 540, 519, 9252, 2599, 676, 6276, 654, 3430, 538, 476, 12293, 280, 19117, 6283, 267, 2872, 267, 543, 6683, 267, 607, 621, 3177, 513, 1007, 267, 3608, 2707, 540, 7344, 1379, 269, 901, 2680, 3576, 1747, 1282, 519, 11633, 7169, 267, 607, 621, 6825, 513, 1713, 6639, 13120, 543, 8329, 547, 519, 7004, 540, 11615, 543, 7239, 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 ]
[ 1073, 324, 3539, 1268, 814, 547, 3398, 602, 621, 568, 16048, 1775, 269, 5136, 17171, 568, 513, 1106, 540, 1514, 3310, 1141, 606, 1367, 6411, 538, 3210, 547, 513, 1463, 1931, 689, 1776, 1367, 267, 945, 568, 2356, 606, 6392, 4137, 563, 2005, 568, 10924, 602, 1510, 971, 606, 1931, 519, 1268, 1131, 711, 723, 19500, 538, 713, 1259, 563, 302, 5523, 1466, 4386, 950, 596, 616, 5143, 547, 798, 1945, 6392, 3602, 553, 29077, 4523, 998, 1514, 2604, 519, 8155, 540, 519, 5354, 269, 4475, 267, 519, 1268, 4758, 519, 1931, 814, 513, 2362, 4567, 982, 519, 1268, 8391, 519, 1931, 563, 18600, 5020, 7151, 540, 5136, 17171, 29747, 661, 747, 10458, 729, 13401, 538, 585, 1010, 851, 538, 12180, 519, 14195, 267, 538, 799, 3670, 2929, 6014, 1004, 267, 607, 1134, 607, 14934, 1186, 625, 267, 1209, 1235, 543, 4123, 9769, 1235, 941, 16487, 547, 2669, 13122, 543, 23689, 538, 13303, 5125, 543, 4478, 2477, 896, 13303, 1852, 563, 292, 747, 10458, 729, 513, 2845, 6750, 21184, 4171, 851, 538, 519, 14195, 729, 519, 4058, 540, 519, 3608, 4015, 267, 6283, 543, 608, 3410, 1588, 540, 1346, 547, 581, 7166, 563, 4263, 1010, 4693, 538, 292, 747, 10458, 6829, 9983, 693, 1373, 554, 730, 676, 6014, 1004, 267, 6031, 602, 646, 1185, 8806, 23491, 539, 9753, 267, 543, 15983, 1073, 324, 3539, 9753, 1223, 1152, 581, 513, 1434, 3364, 269, 769, 1010, 21569, 19701, 661, 747, 10458, 5206, 1412, 763, 9753, 941, 267, 585, 803, 267, 519, 5207, 3364, 538, 1250, 1272, 543, 594, 1185, 547, 23491, 873, 1510, 2243, 262, 1349, 20926, 538, 634, 26851, 267, 476, 1321, 4864, 28872, 563, 292, 747, 10458, 729, 10294, 521, 2033, 676, 3670, 24004, 28748, 267, 646, 1185, 513, 3339, 1920, 1272, 543, 24319, 693, 1010, 4693, 4330, 1864, 607, 1360, 3328, 563, 11693, 602, 972, 5526, 547, 581, 4986, 3226, 8966, 827, 661, 747, 10458, 267, 649, 1590, 3068, 519, 13943, 7872, 602, 1010, 2623, 729, 519, 1587, 540, 519, 1514, 3510, 538, 799, 646, 1336, 5128, 267, 543, 602, 896, 519, 1318, 6381, 649, 949, 782, 581, 5827, 540, 1395, 560, 9317, 6411, 563, 16729, 519, 5822, 2622, 2782, 910, 543, 538, 1880, 519, 14195, 910, 16895, 1305, 856, 547, 8495, 519, 7613, 540, 1480, 24150, 563, 15900, 8942, 547, 2491, 519, 14195, 1185, 5059, 593, 519, 2856, 602, 972, 729, 1945, 10058, 827, 4436, 2528, 602, 1185, 4847, 519, 14195, 547, 1491, 1747, 563, 1805, 534, 2917, 6660, 13559, 1305, 856, 547, 1449, 519, 1382, 2243, 1412, 732, 16586, 1114, 286, 769, 835, 540, 519, 1034, 4583, 3126, 540, 6901, 538, 6530, 6660, 13559, 7152, 602, 1034, 5171, 1131, 2285, 513, 27303, 6408, 14603, 3167, 28654, 950, 10288, 547, 269, 6660, 13559, 2663, 10443, 513, 1297, 540, 7648, 547, 519, 2596, 1353, 267, 547, 1265, 856, 811, 827, 519, 1880, 2188, 799, 1522, 3310, 24150, 563, 1692, 547, 4704, 713, 2376, 281, 300, 559, 13559, 2663, 10443, 513, 1297, 540, 7648, 547, 519, 2596, 1353, 267, 547, 1265, 856, 811, 827, 519, 1880, 2188, 799, 1522, 3310, 24150, 269, 1215, 547, 4704, 713, 2376, 281, 5062, 8867, 617, 267, 590, 269, 589, 563, 14061, 12041, 281, 590, 4954, 631, 2193, 617, 269, 3057, 476, 2190, 267, 5788, 634, 3652, 540, 2486, 267, 610, 6848, 8155, 267, 1404, 513, 1713, 1909, 538, 1514, 3310, 607, 798, 29077, 543, 24150, 630, 293, 529, 651, 267, 3738, 1230, 845, 640, 269, 4340, 547, 519, 1977, 16723, 5948, 779, 29395, 540, 5626, 2474, 630, 1070, 29077, 568, 519, 32739, 540, 606, 1367, 547, 8263, 2147, 4978, 267, 8456, 267, 543, 5615, 607, 824, 2818, 540, 519, 1895, 646, 610, 1352, 568, 3843, 547, 17352, 281, 476, 273, 563, 28350, 7433, 5811, 540, 6431, 340, 5235, 543, 1230, 845, 640, 543, 5136, 17171, 543, 476, 3445, 267, 266, 811, 2165, 4574, 2854, 676, 4648, 543, 707, 9905, 563, 302, 5523, 1466, 568, 519, 1184, 676, 799, 2043, 16783, 609, 519, 5528, 2016, 676, 606, 6392, 4137, 711, 547, 581, 11821, 609, 29077, 269, 1703, 568, 835, 16726, 1063, 24150, 543, 29077, 799, 568, 602, 1312, 3238, 513, 15646, 10586, 2986, 2123, 5539, 563, 2467, 568, 1614, 3604, 1063, 5136, 17171, 543, 1230, 845, 640, 269, 5136, 17171, 568, 513, 851, 540, 519, 5748, 540, 2486, 269, 9453, 24150, 267, 562, 4381, 1131, 2291, 855, 14784, 543, 606, 8944, 563, 21413, 6617, 267, 7607, 543, 519, 1134, 5630, 540, 519, 4961, 1831, 1875, 7721, 11962, 269, 910, 5136, 17171, 543, 1230, 845, 640, 5637, 24150, 543, 29077, 4125, 1514, 2604, 538, 24150, 519, 2604, 2501, 689, 1969, 532, 607, 596, 616, 25009, 547, 798, 282, 6466, 538, 29077, 519, 2604, 2501, 689, 1895, 8155, 29007, 538, 24150, 568, 5462, 676, 1514, 1379, 267, 6466, 538, 29077, 621, 568, 6766, 6140, 676, 519, 991, 585, 10343, 269, 0, 763, 3943, 543, 4095, 2782, 3459, 538, 476, 11260, 275, 543, 8694, 609, 519, 15521, 540, 8303, 538, 476, 12293, 274, 269, 634, 2112, 3177, 4279, 6628, 11999, 16857, 12374, 538, 3345, 3013, 267, 855, 13882, 936, 7766, 20281, 3609, 543, 9878, 519, 2112, 779, 9276, 3366, 547, 7810, 771, 20880, 267, 543, 6038, 547, 519, 1977, 7169, 563, 1432, 3361, 519, 3943, 543, 4095, 2782, 543, 1018, 941, 922, 2360, 888, 763, 3943, 543, 4095, 2782, 3459, 936, 519, 1808, 3390, 540, 2436, 519, 5580, 11882, 5211, 14860, 729, 513, 851, 540, 519, 3703, 7276, 267, 543, 4061, 1930, 585, 4123, 543, 11175, 676, 7910, 2103, 543, 6755, 985, 10944, 2103, 267, 610, 851, 540, 519, 3943, 7276, 563, 1432, 941, 519, 1292, 2360, 540, 519, 3943, 543, 4095, 2782, 593, 519, 10125, 28866, 888, 763, 3943, 10032, 2296, 585, 1206, 269, 2296, 21152, 13264, 909, 519, 3943, 543, 4095, 4123, 269, 4789, 2968, 538, 7963, 865, 789, 2322, 9204, 593, 21152, 269, 1358, 3459, 16550, 32522, 20450, 563, 7617, 540, 519, 1739, 729, 513, 1267, 540, 519, 3943, 543, 4095, 2782, 888, 763, 15521, 540, 8303, 9896, 538, 476, 12293, 274, 4547, 606, 1439, 547, 519, 4655, 267, 609, 519, 3943, 524, 5338, 1379, 538, 3345, 3013, 269, 9282, 6628, 4465, 519, 2112, 267, 621, 729, 2451, 609, 513, 5458, 7963, 267, 607, 513, 1267, 540, 2112, 9276, 563, 1432, 729, 519, 1198, 540, 519, 3943, 543, 4095, 2782, 593, 1715, 5333, 888, 3383, 7043, 267, 5333, 454, 2026, 513, 1267, 540, 519, 3703, 11802, 538, 519, 3943, 543, 4095, 2782, 267, 5333, 729, 3927, 30461, 689, 519, 1715, 2622, 269, 1358, 882, 22055, 1639, 12303, 782, 540, 741, 1715, 2622, 22590, 1519, 782, 540, 4516, 269, 1358, 1705, 4383, 547, 11677, 513, 1906, 1507, 10195, 1055, 519, 5032, 540, 4516, 543, 538, 519, 12144, 563, 1432, 941, 519, 3123, 543, 2360, 540, 519, 4095, 2112, 888, 763, 1292, 2014, 540, 519, 4095, 12668, 540, 713, 1974, 729, 519, 10206, 540, 2494, 28685, 20121, 4176, 269, 2560, 3571, 3527, 267, 543, 602, 540, 1082, 1866, 267, 3366, 547, 32012, 885, 602, 1128, 580, 730, 3875, 6411, 540, 1427, 531, 2747, 676, 7111, 4892, 269, 901, 3366, 547, 519, 1977, 8136, 1373, 2366, 547, 1016, 16746, 5065, 5095, 543, 3196, 873, 7498, 1432, 941, 476, 274, 3123, 540, 519, 3943, 543, 4095, 2782, 888, 7437, 10319, 1382, 543, 8989, 2238, 267, 1053, 786, 581, 2111, 547, 2697, 543, 4766, 538, 1469, 2947, 2101, 3123, 540, 519, 3943, 543, 4095, 2782, 281, 20849, 6811, 1063, 4279, 6628, 543, 5333, 936, 8513, 543, 25825, 267, 581, 11232, 4123, 267, 3909, 3604, 267, 1852, 540, 519, 9835, 24434, 267, 543, 6693, 1432, 941, 519, 1279, 2165, 2360, 540, 519, 3943, 543, 4095, 2112, 888, 763, 4539, 540, 519, 3943, 543, 4095, 2782, 1131, 798, 811, 547, 5397, 513, 530, 8354, 538, 1063, 6628, 543, 1200, 21152, 811, 865, 982, 1022, 824, 2680, 909, 547, 602, 1448, 538, 1686, 269, 4438, 519, 18599, 13012, 685, 2782, 267, 6628, 779, 3084, 7963, 5176, 23060, 267, 543, 519, 10125, 1131, 13105, 513, 1434, 6712, 540, 519, 11411, 540, 9878, 621, 1055, 563, 1432, 941, 519, 2101, 3123, 543, 2360, 540, 519, 1977, 7169, 888, 290, 1021, 281, 3703, 3401, 21787, 602, 811, 8165, 1131, 1491, 1747, 593, 519, 20281, 952, 21152, 6854, 3001, 5196, 1977, 4095, 3338, 269, 901, 2920, 2838, 21152, 547, 2777, 3703, 7980, 269, 2560, 6356, 281, 16842, 1004, 779, 10845, 693, 6628, 563, 1432, 941, 519, 3123, 543, 2360, 540, 519, 11785, 7136, 21492, 888, 763, 2014, 540, 519, 11785, 7136, 21492, 729, 519, 11785, 21152, 4769, 1406, 899, 2348, 3703, 4421, 619, 538, 741, 2749, 865, 789, 4358, 18530, 6777, 27750, 269, 2368, 540, 519, 21152, 4956, 519, 4421, 619, 964, 5703, 811, 543, 3323, 18530, 7725, 269, 2560, 634, 1198, 540, 519, 11785, 7136, 21492, 729, 2947, 1004, 5747, 563, 1432, 1705, 5333, 6336, 607, 513, 1267, 540, 519, 2112, 888, 1103, 519, 15521, 540, 8303, 267, 5333, 4503, 782, 6811, 547, 4516, 543, 5795, 17039, 547, 8050, 267, 1247, 6628, 4607, 5053, 8419, 267, 16592, 4516, 267, 543, 1585, 3943, 3180, 902, 18246, 563, 1432, 941, 1079, 4539, 540, 519, 3943, 543, 4095, 2782, 888, 1432, 941, 1079, 4539, 540, 519, 3943, 543, 4095, 2782, 286, 6628, 6591, 8513, 543, 2799, 519, 4182, 779, 7963, 269, 1215, 1705, 21152, 2746, 547, 519, 1160, 17474, 540, 476, 12293, 274, 286, 1358, 941, 14220, 602, 6628, 1185, 3908, 519, 1858, 2139, 585, 11175, 563, 1432, 941, 1614, 2164, 540, 519, 3943, 543, 4095, 2782, 28866, 888, 24876, 1614, 2164, 540, 519, 3943, 543, 4095, 2782, 269, 5333, 5795, 909, 782, 3409, 547, 782, 8513, 538, 519, 5101, 269, 3703, 17477, 1852, 540, 4516, 543, 849, 4607, 8419, 689, 8050, 269, 1677, 22771, 8050, 585, 741, 2530, 540, 8419, 267, 5333, 5795, 873, 17039, 269, 0, 303, 19948, 593, 6249, 281, 834, 11070, 299, 20051, 519, 2115, 540, 782, 6267, 11581, 10813, 476, 278, 1015, 280, 1107, 3220, 269, 5062, 303, 1667, 517, 31656, 11253, 22630, 18484, 11354, 476, 1001, 275, 1701, 1765, 19809, 13973, 912, 11070, 299, 20051, 519, 2115, 540, 782, 6267, 11581, 10813, 476, 278, 1015, 280, 1107, 3220, 269, 5062, 303, 1667, 517, 31656, 11253, 22630, 18484, 11354, 476, 1001, 275, 454, 1432, 568, 17629, 5071, 585, 4804, 286, 772, 13036, 568, 513, 1374, 585, 6044, 543, 4928, 602, 2882, 782, 6267, 269, 10691, 292, 281, 1677, 1689, 2592, 593, 713, 13472, 267, 2824, 513, 4605, 543, 18419, 621, 269, 3973, 4945, 519, 23453, 16514, 12835, 538, 519, 1747, 14516, 547, 7696, 707, 1378, 3239, 269, 32213, 2069, 267, 610, 10014, 267, 814, 1044, 11451, 6444, 607, 513, 3804, 585, 3872, 1949, 1472, 519, 1158, 630, 10501, 322, 545, 267, 476, 1220, 280, 282, 15576, 345, 267, 476, 1001, 273, 321, 1916, 13981, 5113, 589, 4928, 602, 814, 1053, 602, 616, 2834, 2069, 267, 11108, 2115, 267, 543, 1565, 9124, 634, 4116, 10039, 772, 13036, 3741, 547, 2743, 519, 2115, 540, 782, 1053, 998, 15285, 998, 14842, 998, 22759, 543, 6278, 27603, 267, 519, 4116, 1131, 946, 2200, 971, 607, 6354, 592, 2510, 267, 1804, 1820, 267, 15460, 267, 1377, 539, 3988, 267, 3092, 563, 16248, 10988, 760, 1023, 540, 772, 13036, 23779, 1215, 1344, 568, 6026, 4841, 1118, 4296, 267, 1174, 267, 543, 1184, 269, 15613, 1215, 1053, 1184, 1344, 4841, 2702, 547, 17412, 1018, 789, 723, 4121, 13335, 540, 1983, 18748, 1215, 1053, 4019, 1007, 1344, 12056, 538, 1483, 1158, 7653, 4039, 908, 1344, 13335, 3587, 6296, 454, 16248, 10988, 760, 1023, 540, 772, 13036, 281, 1548, 621, 1797, 23779, 13038, 12043, 547, 2099, 1344, 15613, 3629, 2259, 2871, 3660, 8081, 539, 18748, 5426, 539, 610, 21934, 1245, 6044, 3629, 15314, 9906, 5697, 1543, 454, 1692, 1281, 621, 960, 286, 8177, 593, 4804, 21664, 5811, 540, 2875, 4690, 267, 9342, 267, 543, 12755, 19019, 531, 2994, 602, 1683, 3160, 1569, 547, 1565, 585, 1169, 2875, 454, 22897, 1299, 772, 13036, 968, 763, 946, 540, 3059, 4066, 2636, 585, 519, 6388, 540, 8537, 14292, 2994, 676, 3246, 2789, 1797, 540, 6041, 267, 2962, 543, 4082, 267, 543, 6278, 267, 1759, 593, 519, 17629, 5071, 4804, 630, 11070, 299, 264, 5943, 1848, 630, 303, 11839, 514, 267, 476, 1001, 274, 1916, 22897, 16949, 540, 2029, 666, 4228, 519, 1259, 3610, 1459, 1344, 2743, 519, 3309, 2115, 538, 519, 4928, 563, 290, 17129, 10396, 299, 12114, 9215, 5357, 306, 772, 13036, 21398 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 607, 513, 23799, 9084, 3684, 267, 649, 666, 9420, 6000, 547, 2081, 18756, 1514, 269, 901, 1433, 12116, 4207, 2242, 538, 4074, 2344, 5238, 538, 519, 2136, 2276, 267, 5125, 267, 16862, 267, 13785, 267, 543, 519, 13814, 267, 2519, 593, 7835, 538, 1614, 5749, 553, 910, 4853, 563, 15697, 4296, 543, 1514, 2923, 1683, 606, 11108, 1305, 540, 2200, 585, 25696, 547, 3262, 1344, 827, 2152, 543, 3527, 267, 21271, 532, 9465, 540, 13416, 2923, 630, 10864, 937, 264, 543, 563, 763, 1433, 7710, 519, 5837, 6935, 540, 2797, 17604, 538, 1469, 267, 609, 11271, 593, 519, 2470, 540, 519, 4396, 776, 1895, 267, 13800, 1369, 17604, 267, 519, 968, 1706, 611, 2135, 540, 519, 29341, 2223, 519, 3853, 540, 17604, 269, 589, 1007, 1433, 267, 968, 300, 626, 2586, 14740, 281, 17813, 543, 4147, 538, 519, 6520, 540, 11686, 2223, 9333, 1389, 513, 11826, 2079, 540, 5198, 6214, 543, 519, 1686, 540, 5198, 538, 519, 2136, 2276, 547, 20920, 609, 519, 13346, 563, 289, 2590, 532, 547, 1272, 519, 2984, 540, 2797, 751, 520, 2077, 553, 267, 8706, 1235, 267, 7784, 14725, 2996, 267, 4074, 25696, 267, 15023, 267, 20859, 267, 608, 17376, 2581, 619, 267, 543, 824, 4838, 2456, 267, 634, 21829, 22569, 5209, 540, 20523, 6792, 12116, 1547, 2108, 314, 763, 3203, 540, 20348, 10846, 316, 2488, 2219, 4538, 2013, 2090, 540, 519, 1909, 540, 1148, 538, 17604, 5322, 1848, 634, 17113, 968, 1607, 1433, 2306, 513, 2189, 543, 3730, 9295, 547, 14172, 593, 1514, 1547, 1607, 1433, 12116, 875, 519, 1514, 1249, 540, 5198, 5546, 519, 5683, 27791, 31223, 540, 4961, 538, 3309, 1629, 31097, 563, 2005, 10953, 519, 1523, 540, 7292, 1242, 17604, 282, 7710, 922, 1764, 593, 1699, 1547, 0, 763, 524, 19091, 630, 2296, 14911, 5027, 2073, 4436, 14911, 5027, 3738, 568, 513, 5027, 602, 568, 24704, 689, 10717, 630, 7945, 607, 22328, 543, 562, 322, 11748, 3738, 1210, 519, 11747, 9258, 13973, 848, 1547, 634, 524, 19091, 568, 1031, 538, 7636, 7350, 2073, 13973, 727, 2079, 543, 538, 2564, 26129, 4586, 4415, 519, 948, 540, 519, 11747, 9258, 13973, 848, 2073, 519, 14911, 524, 19091, 666, 581, 3812, 689, 10717, 538, 519, 1576, 540, 606, 21512, 6261, 10135, 1547, 901, 1808, 267, 10717, 17466, 5027, 29920, 2073, 899, 824, 5027, 12249, 1162, 267, 3340, 513, 29194, 630, 320, 2110, 267, 14911, 5027, 10126, 264, 585, 10282, 267, 799, 25907, 547, 519, 10717, 269, 15394, 606, 23731, 334, 1673, 307, 30859, 630, 1428, 268, 1839, 632, 2135, 2814, 2096, 573, 1149, 3738, 568, 1031, 607, 513, 29194, 2073, 799, 568, 14911, 547, 519, 4874, 5025, 2766, 540, 519, 32541, 22328, 267, 610, 4351, 15279, 15330, 23731, 31265, 582, 1938, 630, 4621, 12371, 540, 3670, 14477, 19632, 22951, 1938, 15426, 1717, 267, 1808, 2215, 619, 666, 849, 581, 1031, 538, 1931, 547, 20586, 513, 13973, 538, 513, 6098, 6073, 269, 634, 1587, 568, 1631, 513, 524, 19091, 18843, 602, 814, 10316, 1242, 609, 519, 3312, 10717, 18843, 1547, 634, 8545, 666, 1631, 581, 7745, 1524, 609, 519, 11747, 681, 301, 848, 670, 269, 769, 519, 2417, 4393, 267, 519, 14911, 5027, 18843, 547, 519, 2907, 4540, 524, 19091, 2582, 18843, 568, 24704, 676, 1797, 540, 513, 5027, 17466, 5027, 29920, 630, 16129, 513, 29194, 1040, 3816, 333, 1218, 540, 22328, 602, 723, 711, 2943, 1044, 28811, 676, 681, 301, 848, 670, 666, 4196, 607, 2215, 619, 269, 634, 2409, 1031, 2221, 585, 2034, 3613, 8681, 10282, 616, 1759, 593, 519, 960, 540, 670, 10098, 1729, 28514, 4821, 543, 6754, 19161, 693, 18628, 2160, 543, 519, 2417, 1646, 540, 772, 7942, 717, 889, 2401, 543, 21861, 32129, 10458, 693, 32129, 10458, 6441, 320, 305, 28970, 1547, 634, 1267, 568, 513, 5595, 3613, 8681, 539, 524, 19091, 269, 4595, 519, 3312, 10959, 729, 513, 9268, 10717, 630, 6518, 267, 1851, 824, 1919, 2073, 814, 2907, 8854, 998, 521, 2364, 532, 16532, 972, 616, 1100, 703, 6425, 593, 519, 524, 19091, 538, 4334, 547, 2067, 32541, 667, 18456, 269, 901, 1249, 568, 1271, 585, 519, 28295, 540, 519, 524, 19091, 538, 10321, 971, 607, 9842, 332, 1749, 543, 7766, 21921, 5364, 3940, 4082, 4586, 21104, 725, 543, 2495, 454, 7374, 18456, 666, 581, 28659, 3842, 19738, 1547, 901, 9258, 13973, 848, 29920, 5832, 5114, 630, 20670, 6261, 10135, 264, 666, 849, 581, 5645, 856, 11050, 569, 607, 7117, 303, 10135, 267, 585, 1383, 607, 1483, 6066, 11050, 19738, 1547, 2060, 713, 14583, 540, 519, 5444, 4082, 2079, 2073, 519, 4082, 2557, 540, 519, 9757, 5817, 10717, 666, 581, 5462, 267, 865, 602, 3604, 538, 519, 5444, 4082, 540, 1114, 8031, 610, 2635, 547, 30428, 5160, 666, 581, 9571, 538, 1382, 543, 26129, 1547, 5015, 267, 524, 19091, 568, 1031, 538, 26129, 585, 519, 7020, 540, 13596, 267, 552, 3052, 269, 645, 269, 7486, 538, 519, 1973, 540, 2550, 269, 7131, 18456, 666, 849, 581, 1031, 547, 5352, 2890, 541, 7590, 1547, 18786, 1448, 540, 519, 5108, 540, 24638, 5439, 585, 519, 9584, 540, 5027, 13365, 568, 849, 1419, 519, 21512, 5114, 269, 634, 17626, 2079, 540, 5444, 4082, 630, 6347, 12283, 264, 568, 849, 1759, 593, 519, 5108, 540, 267, 538, 713, 2013, 2110, 267, 524, 291, 18456, 269, 589, 14842, 540, 21512, 6261, 10135, 267, 681, 19781, 6261, 10135, 267, 568, 1031, 547, 2697, 2407, 27480, 524, 291, 18456, 4586, 3528, 28295, 543, 15971, 519, 524, 19091, 630, 553, 6829, 5311, 16776, 2073, 29643, 1070, 519, 5311, 540, 519, 7222, 6090, 666, 581, 9916, 676, 1788, 532, 873, 5196, 519, 7222, 11646, 1547, 634, 524, 19091, 849, 6087, 1344, 593, 4244, 521, 2364, 532, 547, 581, 5833, 267, 1775, 4318, 269, 799, 14583, 4386, 538, 799, 5160, 610, 1591, 1826, 543, 1141, 703, 1258, 910, 608, 517, 6302, 616, 4092, 538, 519, 5444, 269, 5015, 267, 519, 11254, 3679, 5311, 540, 513, 3940, 666, 581, 5693, 17429, 1027, 689, 524, 19091, 1210, 519, 4719, 3009, 543, 513, 524, 19091, 804, 821, 666, 3976, 581, 1031, 547, 2769, 519, 7222, 3940, 630, 21921, 5364, 3940, 4082, 30155, 288, 524, 19091, 5399, 2073, 849, 1572, 524, 19091, 5399, 2073, 568, 513, 4015, 540, 1082, 524, 291, 18456, 602, 723, 1044, 9678, 543, 1098, 8282, 689, 519, 22328, 540, 513, 1808, 1591, 610, 5160, 543, 23679, 4564, 519, 30810, 540, 782, 6829, 6090, 267, 519, 13973, 727, 2073, 540, 519, 8947, 3732, 269, 634, 524, 291, 18456, 616, 2356, 804, 19861, 538, 519, 3566, 328, 21301, 25754, 2073, 610, 9842, 332, 1749, 2073, 799, 616, 9070, 730, 538, 4551, 1547, 6270, 513, 524, 19091, 5399, 666, 1287, 552, 3052, 269, 645, 269, 1031, 585, 9584, 5773, 269, 589, 6093, 9584, 1505, 585, 524, 19091, 8492, 568, 519, 12733, 10316, 1436, 9584, 4480, 267, 538, 799, 14599, 5027, 5439, 616, 1031, 269, 634, 2832, 568, 267, 585, 1383, 267, 547, 20586, 513, 1978, 524, 19091, 689, 606, 607, 2943, 23257, 1819, 11248, 610, 547, 3605, 5444, 3885, 269, 589, 1134, 8153, 1383, 568, 1382, 883, 1753, 984, 2135, 5946, 1547, 1403, 519, 524, 291, 18456, 616, 804, 19861, 538, 4082, 10321, 267, 713, 2636, 10072, 609, 12489, 610, 593, 519, 4493, 540, 513, 3959, 602, 666, 581, 9571, 1979, 32554, 1227, 610, 32661, 903, 328, 10999, 1547, 32148, 5872, 4891, 666, 849, 581, 4857, 609, 4082, 8492, 267, 552, 3052, 269, 645, 269, 538, 519, 13803, 1079, 268, 1506, 8455, 1062, 4586, 268, 670, 269, 28514, 4821, 267, 623, 269, 19161, 281, 4400, 3887, 11797, 28295, 540, 2407, 27480, 524, 19091, 269, 769, 281, 17449, 543, 10408, 7350, 269, 11730, 476, 273, 267, 7089, 476, 273, 267, 5988, 476, 2735, 273, 267, 6032, 269, 476, 14065, 268, 10204, 267, 20163, 476, 277, 2764, 278, 2420, 278, 2073, 6751, 290, 476, 3607, 280, 278, 7597, 630, 16451, 2407, 1257, 1916, 268, 772, 269, 717, 889, 2401, 267, 645, 297, 32129, 2006, 281, 589, 2241, 543, 1360, 3608, 1505, 585, 10451, 524, 19091, 8021, 269, 769, 281, 2637, 525, 269, 5292, 269, 476, 1839, 267, 10606, 476, 273, 268, 274, 267, 5437, 476, 2735, 274, 267, 6032, 269, 476, 28091, 268, 29483, 267, 20163, 476, 277, 866, 279, 2190, 273, 1547, 0, 300, 3430, 816, 590, 1956, 568, 2178, 543, 666, 581, 1031, 547, 2673, 5266, 1804, 16398, 269, 1703, 616, 1079, 2596, 2010, 540, 20974, 816, 521, 1956, 281, 7299, 543, 8880, 269, 20917, 816, 590, 1956, 568, 513, 1455, 521, 1956, 1031, 547, 2673, 16398, 269, 20917, 816, 590, 1956, 568, 513, 2759, 19173, 267, 2495, 1142, 19173, 568, 13615, 1354, 8108, 519, 1985, 19173, 563, 1103, 1249, 267, 7299, 20974, 816, 521, 1956, 814, 5140, 28995, 4222, 607, 621, 814, 1079, 5603, 4394, 2059, 519, 1482, 5276, 2619, 538, 1312, 2620, 543, 13719, 21774, 269, 589, 1434, 18874, 786, 1118, 5347, 267, 27101, 25573, 1247, 22815, 1424, 519, 5160, 998, 519, 10138, 609, 519, 1482, 3178, 543, 8700, 269, 7054, 10585, 25573, 666, 2014, 3606, 2042, 563, 309, 1068, 673, 20917, 816, 590, 1956, 454, 309, 1068, 673, 20974, 816, 521, 1956, 2882, 1079, 2620, 11579, 5928, 13902, 547, 519, 10138, 593, 519, 1482, 7299, 1899, 269, 634, 521, 1956, 13788, 519, 5160, 267, 10596, 896, 519, 5160, 2627, 543, 998, 519, 10138, 543, 608, 1080, 593, 519, 824, 2427, 269, 3689, 267, 1079, 13719, 1303, 27509, 616, 1500, 267, 1287, 519, 1184, 568, 4553, 676, 2620, 25573, 269, 901, 521, 1956, 1287, 7024, 547, 519, 1439, 540, 519, 10138, 1141, 519, 13549, 1101, 9411, 865, 519, 7475, 666, 581, 13615, 269, 5637, 7299, 543, 8880, 20917, 816, 590, 1956, 616, 3335, 13615, 1210, 513, 4009, 24516, 563, 305, 624, 9771, 20974, 816, 521, 1956, 3340, 2185, 2620, 11579, 5928, 602, 1665, 519, 15174, 540, 1142, 19173, 13551, 269, 898, 568, 3006, 1031, 607, 513, 1489, 521, 1956, 547, 1832, 519, 5160, 538, 513, 5078, 2990, 865, 602, 824, 2759, 25573, 666, 581, 1500, 269, 769, 971, 513, 2013, 267, 1310, 519, 824, 25573, 616, 5116, 267, 519, 8880, 5127, 19173, 568, 3144, 563, 295, 528, 714, 7267, 20917, 816, 590, 1956, 454, 288, 8390, 540, 519, 8880, 20974, 816, 521, 1956, 568, 519, 10859, 1606, 684, 5287, 8880, 19173, 269, 21222, 7267, 20974, 816, 521, 1956, 568, 1419, 1031, 547, 2673, 2587, 1194, 16398, 269, 769, 713, 2013, 267, 519, 521, 1956, 13788, 519, 5160, 3544, 519, 10138, 267, 608, 1080, 689, 519, 5160, 2282, 519, 7127, 1448, 267, 1739, 513, 17208, 2619, 8720, 519, 7127, 1448, 543, 5011, 269, 634, 9378, 3029, 513, 5858, 3337, 896, 519, 5160, 609, 1152, 519, 7475, 4448, 547, 519, 3544, 563, 2252, 1312, 8880, 543, 7299, 20974, 816, 521, 1956, 616, 13615, 1932, 17401, 267, 972, 568, 513, 1981, 540, 2042, 269, 25417, 519, 694, 4461, 609, 1507, 4773, 666, 2569, 519, 1981, 540, 8373, 607, 1134, 607, 5969, 519, 694, 4461, 607, 2038, 607, 2009, 269, 634, 9395, 1145, 540, 519, 2759, 25573, 666, 581, 14661, 693, 519, 9378, 540, 1142, 521, 1956, 282, 713, 568, 2523, 1271, 585, 12150, 11912, 563, 2005, 568, 1455, 547, 4734, 930, 10077, 593, 519, 20974, 816, 521, 1956, 269, 634, 19173, 5932, 513, 1899, 6438, 10077, 609, 13549, 7436, 1141, 519, 13549, 13788, 543, 3762, 519, 5160, 269, 1403, 2009, 267, 20974, 816, 521, 1956, 786, 581, 6569, 1369, 2947, 547, 5722, 2395, 547, 2569, 26711, 269, 0, 7021, 519, 2250, 8717, 267, 5351, 585, 2022, 29364, 776, 18375, 814, 1831, 5051, 13615, 547, 20519, 269, 4438, 713, 1974, 267, 513, 1297, 540, 1533, 6608, 723, 8149, 6634, 540, 9489, 547, 20519, 5351, 267, 538, 1034, 2665, 21177, 1797, 4255, 7357, 269, 634, 2203, 585, 891, 1533, 3527, 814, 1044, 11908, 781, 670, 8008, 292, 9497, 13900, 4771, 4934, 9227, 32167, 2812, 4065, 958, 8442, 18623, 1222, 269, 13823, 1027, 538, 476, 1960, 274, 267, 519, 670, 8008, 292, 18623, 1222, 6227, 24875, 267, 12375, 267, 543, 1433, 9276, 585, 1053, 11504, 11908, 1857, 12621, 267, 543, 2488, 513, 13564, 344, 540, 13380, 1871, 547, 1053, 11504, 538, 15581, 4357, 12621, 267, 1510, 1022, 4747, 9993, 269, 4595, 922, 27299, 267, 811, 982, 1269, 272, 269, 273, 5479, 540, 670, 8008, 292, 14172, 5351, 814, 1044, 7856, 547, 936, 476, 30589, 267, 1822, 1053, 269, 634, 3448, 3902, 2242, 13251, 676, 670, 8008, 292, 16654, 5351, 3310, 1896, 1271, 27350, 3664, 281, 538, 15581, 8957, 856, 6361, 15581, 267, 476 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]