Datasets:
SmallDoge
/
stable_dataset_processed

Dataset card Data Studio Files
xet
Community
Search is not available for this dataset
input_ids
listlengths
1
2.05k
attention_mask
listlengths
1
2.05k
[ 14445, 730, 2831, 269, 634, 14918, 2253, 547, 1491, 1919, 585, 2933, 267, 2141, 7479, 8172, 519, 2831, 602, 621, 568, 585, 519, 1434, 540, 519, 3003, 3484, 269, 14171, 5144, 543, 13212, 585, 2933, 547, 581, 20762, 883, 741, 544, 1662, 269, 901, 568, 4988, 909, 676, 519, 14918, 968, 335, 1886, 698, 7701, 3684, 892, 590, 4302, 29993, 267, 513, 3810, 6354, 11494, 6477, 609, 513, 1259, 538, 610, 1091, 269, 968, 8072, 303, 1023, 256, 685, 646, 865, 321, 5523, 269, 2048, 2791, 798, 711, 1589, 540, 267, 594, 4126, 267, 602, 649, 14918, 616, 3257, 713, 538, 513, 6891, 540, 25796, 1145, 543, 17979, 286, 589, 1297, 540, 721, 2731, 771, 3697, 5144, 543, 13212, 1848, 590, 4302, 29993, 3096, 519, 3972, 6035, 547, 519, 14918, 267, 543, 8060, 5168, 865, 607, 519, 14918, 666, 2015, 2933, 269, 901, 8255, 11207, 8957, 519, 2856, 540, 7862, 267, 519, 5075, 540, 7862, 1281, 711, 17538, 18825, 2921, 3255, 585, 2933, 269, 634, 14918, 8415, 741, 3152, 4987, 547, 741, 5413, 267, 543, 946, 1852, 936, 1893, 547, 1832, 519, 1379, 538, 741, 3946, 543, 856, 540, 519, 3946, 540, 519, 13999, 563, 5445, 11338, 8415, 713, 1852, 936, 1893, 547, 1374, 622, 2933, 5383, 543, 5512, 2933, 547, 12575, 519, 3652, 269, 968, 763, 5017, 1705, 711, 10146, 16176, 4252, 779, 1279, 1913, 267, 2705, 789, 7608, 1010, 6609, 267, 543, 782, 519, 1208, 321, 2401, 2831, 1305, 547, 960, 547, 1451, 519, 1007, 12366, 676, 2295, 269, 968, 19177, 7953, 1390, 267, 1079, 7953, 3983, 1848, 901, 12366, 267, 799, 1568, 607, 513, 5883, 31942, 267, 10953, 2094, 540, 519, 2324, 2831, 685, 17418, 547, 1174, 610, 1451, 519, 476, 278, 4971, 906, 267, 513, 1305, 540, 968, 337, 2737, 892, 1305, 1310, 519, 27136, 17171, 269, 4706, 5187, 8864, 2636, 621, 547, 581, 3533, 12012, 543, 26203, 563, 301, 777, 1961, 517, 3096, 1010, 1852, 540, 1893, 547, 1010, 1378, 4324, 267, 543, 519, 14918, 12575, 519, 476, 278, 968, 684, 4219, 762, 892, 4971, 906, 269, 968, 2467, 729, 2943, 1776, 540, 873, 602, 519, 2831, 1185, 6854, 538, 2247, 11234, 269, 1358, 1185, 5156, 602, 519, 476, 276, 628, 14329, 729, 2048, 7224, 3662, 4927, 8532, 4568, 8730, 855, 972, 941, 1079, 1913, 799, 789, 1185, 2965, 16618, 269, 769, 1249, 519, 4341, 1224, 281, 2048, 5591, 3662, 4927, 4235, 4568, 547, 4430, 269, 2048, 892, 1358, 5512, 2933, 519, 1164, 15134, 540, 519, 3484, 5264, 15135, 267, 543, 6704, 4568, 267, 782, 799, 729, 8815, 8957, 1310, 519, 18326, 563, 18814, 547, 519, 1249, 602, 519, 2831, 3494, 602, 519, 3652, 616, 796, 4219, 762, 267, 543, 2094, 540, 741, 9420, 7048, 593, 519, 14918, 267, 543, 1631, 11338, 1813, 547, 519, 1249, 602, 540, 4250, 540, 519, 14918, 267, 789, 798, 711, 2243, 873, 267, 741, 968, 27273, 12542, 6100, 590, 4302, 29993, 267, 16486, 976, 968, 335, 1886, 698, 7701, 3926, 892, 568, 519, 3119, 10419, 15249, 540, 713, 6335, 532, 540, 1893, 267, 543, 8060, 519, 13999, 609, 713, 269, 1403, 4896, 1727, 4680, 267, 519, 13265, 2253, 547, 6926, 520, 538, 669, 11501, 267, 968, 275, 7953, 5140, 267, 476, 273, 7953, 3983, 892, 7303, 1022, 6643, 267, 865, 19167, 814, 1852, 540, 1018, 568, 1767, 563, 1607, 12211, 2786, 547, 9758, 4838, 267, 941, 1852, 936, 1893, 543, 4481, 2462, 9424, 540, 18259, 616, 1031, 547, 1852, 519, 13999, 267, 1018, 568, 1767, 543, 538, 930, 2665, 1256, 1018, 568, 2219, 269, 4595, 519, 14918, 543, 4481, 19167, 723, 1379, 267, 543, 519, 3972, 540, 519, 824, 3662, 779, 267, 543, 18864, 4145, 741, 3664, 269, 1879, 519, 666, 1149, 3142, 547, 1272, 930, 1007, 4535, 4996, 1186, 267, 19167, 3217, 968, 29442, 2476, 689, 741, 31908, 267, 17548, 602, 646, 1131, 1118, 5128, 18177, 585, 741, 2069, 2560, 519, 1964, 540, 519, 3484, 29709, 741, 4527, 269, 634, 2831, 8068, 602, 519, 10130, 616, 8854, 267, 855, 3442, 1996, 15819, 610, 4101, 1018, 19167, 568, 547, 798, 609, 873, 269, 12559, 775, 540, 2962, 593, 519, 2831, 851, 10522, 602, 519, 14918, 666, 3136, 547, 1491, 1379, 909, 2394, 513, 1533, 1141, 789, 616, 3592, 2150, 13224, 762, 269, 898, 568, 711, 909, 2394, 16176, 4252, 23083, 513, 2842, 17524, 581, 3710, 593, 519, 3484, 602, 649, 1294, 1919, 14556, 1518, 269, 1284, 1287, 1294, 513, 1379, 6370, 538, 1063, 16176, 4252, 543, 19167, 269, 901, 568, 1141, 519, 5243, 2097, 1394, 538, 267, 543, 19167, 31782, 873, 593, 16176, 4252, 543, 608, 3796, 1864, 689, 519, 3484, 563, 5591, 835, 1631, 14753, 856, 8957, 19167, 607, 789, 616, 9308, 19225, 2989, 676, 519, 4620, 5243, 267, 799, 957, 607, 1560, 7666, 1841, 547, 19167, 269, 19167, 7475, 909, 1373, 6067, 9037, 609, 1379, 543, 16425, 23352, 1010, 11685, 267, 16176, 4252, 267, 543, 31234, 1010, 1378, 29686, 269, 19167, 666, 798, 1018, 646, 23297, 1813, 547, 519, 1249, 602, 16176, 4252, 568, 711, 972, 547, 28586, 267, 543, 519, 824, 2831, 798, 711, 28586, 2901, 856, 540, 5855, 1310, 7487, 519, 12556, 540, 16176, 4252, 267, 610, 1813, 547, 519, 1249, 602, 789, 616, 9420, 539, 676, 590, 4302, 531, 619, 6013, 543, 1869, 3972, 538, 19167, 269, 2107, 6202, 568, 1934, 3981, 532, 519, 2856, 602, 1346, 538, 1379, 1419, 946, 2168, 2800, 610, 12932, 9179, 547, 1832, 1379, 2476, 689, 519, 13999, 563, 1103, 519, 1439, 649, 1294, 519, 14918, 1997, 908, 609, 1480, 7919, 543, 519, 14918, 5176, 10678, 909, 1373, 519, 1482, 607, 3425, 267, 607, 789, 723, 1044, 4904, 609, 519, 13313, 540, 1379, 543, 26846, 968, 763, 7068, 6743, 689, 6477, 547, 18560, 267, 543, 689, 6477, 547, 812, 1586, 281, 2705, 2907, 621, 729, 7543, 547, 2161, 799, 729, 799, 6100, 5295, 14796, 267, 6207, 1379, 14796, 11613, 269, 901, 568, 2556, 1813, 547, 519, 1249, 602, 2107, 6202, 729, 9244, 4550, 1922, 2444, 1143, 3976, 646, 4682, 547, 4339, 538, 519, 5053, 3540, 2112, 609, 519, 14081, 534, 14761, 1996, 519, 3673, 626, 2113, 10560, 626, 23988, 540, 30473, 269, 10801, 519, 1433, 519, 14918, 1404, 2390, 519, 14255, 633, 3972, 540, 519, 824, 2831, 563, 1607, 568, 1898, 1317, 621, 9727, 1004, 779, 8990, 547, 4324, 689, 1866, 269, 901, 568, 606, 5667, 4774, 855, 2178, 851, 540, 1480, 2470, 269, 634, 824, 2427, 568, 519, 23535, 7190, 540, 519, 2831, 267, 610, 13999, 540, 1480, 7919, 267, 602, 1683, 3972, 547, 1346, 945, 616, 796, 2889, 1597, 543, 1287, 3111, 547, 2132, 547, 602, 3375, 543, 8524, 602, 621, 729, 2965, 519, 1697, 835, 547, 1118, 269, 968, 763, 1152, 3364, 2838, 585, 519, 22920, 540, 9409, 568, 585, 1434, 2367, 547, 798, 11613, 4986, 1848, 1700, 31611, 8738, 651, 269, 17610, 569, 649, 1810, 1406, 1175, 1688, 936, 3970, 1652, 3972, 543, 585, 602, 2601, 1379, 543, 2503, 621, 547, 782, 3274, 3635, 286, 667, 14280, 12851, 547, 721, 782, 269, 0, 28053, 983, 14825, 1092, 630, 7563, 264, 2203, 568, 14916, 4294, 547, 31355, 27549, 11191, 538, 6595, 267, 855, 2370, 1382, 568, 827, 31355, 2623, 540, 1931, 569, 2238, 538, 3339, 3510, 269, 9122, 593, 20313, 3069, 267, 11404, 267, 13113, 1533, 3684, 2203, 543, 15287, 3113, 267, 6446, 5224, 2623, 543, 2619, 3406, 5690, 616, 24018, 269, 25392, 519, 4287, 540, 20313, 2238, 267, 513, 31355, 21525, 10056, 2623, 2203, 1759, 593, 11404, 568, 4843, 269, 634, 11191, 2203, 568, 8045, 609, 1843, 15129, 1982, 1893, 18154, 258, 1040, 634, 1267, 2982, 602, 519, 2203, 666, 18082, 519, 31355, 2623, 538, 3339, 3510, 563, 25748, 267, 519, 4028, 1646, 540, 7841, 18302, 538, 19580, 5012, 7817, 547, 2628, 3007, 547, 519, 4058, 543, 1374, 540, 18302, 6728, 1547, 634, 1382, 593, 31355, 6808, 538, 18302, 6728, 568, 811, 543, 811, 1271, 269, 1306, 1082, 4058, 2042, 1445, 593, 3157, 602, 11457, 936, 942, 538, 513, 1950, 1604, 267, 621, 568, 1419, 2352, 547, 6218, 519, 1279, 2165, 6286, 540, 513, 4058, 3375, 269, 4935, 267, 12550, 2675, 8084, 2409, 616, 711, 5078, 585, 4058, 3375, 269, 5843, 2675, 8084, 13502, 723, 1279, 1044, 1031, 607, 513, 1505, 585, 10442, 6069, 2104, 7653, 538, 4058, 269, 769, 519, 1957, 267, 8426, 983, 14825, 1092, 630, 7563, 264, 2203, 568, 4294, 538, 1138, 6819, 519, 31355, 3350, 5615, 538, 32402, 564, 8065, 1858, 540, 18302, 6728, 563, 763, 2230, 538, 519, 7841, 18302, 6728, 568, 5266, 2673, 267, 543, 31355, 5615, 538, 519, 6728, 616, 2370, 7679, 1229, 269, 634, 2238, 538, 519, 6728, 5631, 1331, 6446, 5224, 585, 19044, 267, 6446, 5224, 585, 13675, 610, 14827, 267, 6972, 593, 1377, 8574, 610, 25047, 267, 543, 7996, 585, 5721, 610, 3478, 1524, 689, 5721, 269, 634, 2230, 540, 18302, 6728, 568, 2356, 5258, 883, 1079, 2010, 281, 17167, 1858, 543, 32402, 564, 8065, 1858, 269, 634, 1292, 5615, 538, 519, 32402, 564, 8065, 1858, 616, 267, 21945, 267, 11884, 6972, 267, 6446, 5224, 543, 6028, 630, 5408, 4453, 269, 272, 1040, 6581, 5224, 2623, 568, 519, 1034, 1950, 269, 8437, 3371, 0, 1862, 1169, 1032, 649, 723, 23174, 513, 1297, 540, 519, 7210, 267, 945, 1036, 7134, 741, 1072, 676, 1100, 824, 1797, 982, 519, 3350, 540, 741, 20339, 269, 734, 29727, 523, 267, 1546, 7254, 10028, 8913, 12629, 267, 476, 14991, 277, 1879, 649, 22036, 519, 5100, 652, 21399, 938, 24986, 7140, 519, 10826, 269, 734, 19365, 21388, 267, 634, 22845, 540, 519, 28814, 559, 775, 267, 476, 14917, 277, 630, 272, 264, 16418, 532, 547, 561, 879, 837, 519, 24401, 2812, 540, 513, 14776, 646, 626, 267, 28529, 10961, 1470, 4406, 7666, 541, 1676, 320, 10272, 519, 18638, 540, 12832, 15614, 623, 748, 7562, 538, 2038, 476, 14321, 272, 543, 12349, 1079, 10367, 269, 630, 273, 264, 2290, 540, 891, 267, 13175, 538, 3735, 476, 14321, 271, 267, 20186, 606, 8966, 6196, 11620, 1686, 1759, 593, 891, 15102, 689, 519, 1101, 3883, 540, 15656, 630, 275, 268, 277, 2187, 4517, 950, 789, 1496, 1492, 1004, 540, 12891, 323, 617, 316, 9782, 2038, 593, 519, 1985, 6640, 267, 1531, 1245, 267, 667, 6782, 1185, 15468, 3068, 18746, 593, 519, 2666, 1354, 519, 818, 330, 540, 519, 7083, 267, 543, 519, 2212, 540, 667, 6782, 543, 1312, 3946, 941, 14084, 2759, 1055, 2390, 519, 12939, 282, 1152, 519, 17657, 540, 667, 6782, 729, 2451, 547, 1864, 2807, 1809, 519, 1688, 540, 519, 7083, 729, 5230, 2390, 519, 1004, 540, 12891, 323, 617, 267, 543, 646, 17512, 1881, 543, 3413, 21719, 873, 609, 12970, 538, 5728, 4025, 2807, 1261, 4547, 8983, 2390, 873, 267, 789, 2220, 28534, 538, 741, 9635, 269, 634, 8983, 4682, 883, 741, 2244, 267, 543, 972, 729, 6180, 531, 11784, 538, 519, 2749, 269, 630, 274, 264, 13536, 1634, 607, 634, 1773, 6558, 540, 12891, 323, 617, 267, 713, 7206, 28420, 519, 1085, 28123, 602, 2696, 2366, 547, 19439, 519, 5845, 626, 1149, 585, 27560, 519, 25232, 262, 818, 330, 543, 519, 16750, 1200, 531, 3429, 540, 602, 2680, 676, 519, 9552, 540, 513, 11454, 18533, 630, 8993, 269, 476, 272, 1040, 898, 1131, 1831, 519, 1034, 708, 18469, 543, 9976, 20575, 7206, 540, 519, 27867, 2540, 269, 630, 275, 994, 15987, 634, 1773, 6558, 540, 12891, 323, 617, 3788, 835, 540, 623, 748, 7562, 781, 1034, 4749, 6594, 1568, 267, 621, 814, 2760, 1044, 9916, 998, 519, 24388, 540, 3621, 4915, 1699, 538, 623, 748, 7562, 781, 942, 269, 1703, 814, 1044, 930, 1719, 538, 10747, 519, 32725, 540, 623, 748, 7562, 781, 1702, 540, 20575, 267, 855, 891, 3105, 10526, 540, 1010, 7206, 781, 3621, 1871, 723, 11124, 689, 513, 1250, 8084, 267, 4062, 22596, 267, 543, 6038, 606, 778, 1258, 2065, 1935, 269, 10705, 789, 723, 5059, 1152, 593, 1346, 5697, 3344, 540, 519, 5888, 602, 829, 1555, 547, 2413, 6377, 2564, 11407, 267, 971, 607, 519, 1469, 540, 519, 14148, 282, 538, 824, 2665, 789, 723, 3144, 607, 741, 23350, 519, 2022, 268, 5319, 13874, 14882, 602, 6927, 540, 2257, 543, 5132, 616, 6923, 10353, 269, 630, 276, 264, 17968, 267, 713, 7634, 11394, 547, 2198, 622, 3294, 1369, 519, 11407, 540, 27867, 10601, 3621, 4915, 269, 898, 786, 3801, 547, 1628, 513, 11455, 267, 1256, 5039, 1670, 267, 1620, 540, 623, 748, 7562, 781, 960, 734, 821, 602, 4422, 3564, 1808, 12835, 4919 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 538, 4081, 10580, 543, 267, 538, 10169, 1447, 4110, 267, 538, 5333, 543, 4789, 563, 3849, 4784, 569, 267, 519, 15285, 540, 519, 1514, 9443, 538, 519, 476, 866, 628, 2540, 729, 855, 835, 2460, 540, 513, 3677, 1184, 602, 729, 547, 581, 2938, 607, 12667, 569, 538, 519, 2168, 9443, 543, 519, 23408, 563, 5591, 2101, 2361, 23012, 519, 561, 675, 540, 29286, 540, 7634, 267, 543, 5693, 267, 513, 1390, 4308, 540, 519, 22406, 13557, 540, 1565, 602, 5293, 689, 519, 476, 866, 628, 547, 519, 476, 736, 628, 2540, 729, 519, 1463, 12343, 540, 713, 29286, 563, 292, 21643, 898, 729, 9297, 602, 1101, 25189, 519, 4567, 540, 513, 2582, 543, 5094, 2257, 267, 538, 4998, 693, 2547, 267, 1851, 519, 1514, 9443, 269, 9747, 519, 8561, 2390, 1018, 3357, 547, 581, 4922, 1572, 3288, 23579, 345, 1922, 18311, 269, 1403, 267, 607, 621, 729, 11130, 267, 519, 3157, 540, 5763, 7500, 6923, 538, 2474, 540, 741, 1378, 3710, 2987, 6127, 267, 1287, 711, 1152, 1058, 891, 581, 6594, 14384, 855, 789, 1058, 267, 538, 1022, 8797, 1135, 640, 267, 581, 2451, 4805, 676, 2229, 543, 2486, 563, 2467, 941, 3592, 689, 519, 4098, 267, 2705, 267, 24192, 945, 11651, 3022, 25921, 689, 713, 3288, 23579, 345, 1922, 18311, 267, 8106, 2070, 563, 9824, 725, 1222, 540, 3778, 609, 824, 7070, 1923, 5530, 540, 3778, 454, 1103, 5125, 2523, 972, 941, 519, 865, 10777, 3140, 24192, 269, 1358, 8399, 539, 1447, 689, 519, 9015, 540, 2351, 25086, 982, 689, 519, 1095, 6269, 657, 1431, 540, 1514, 4720, 267, 5219, 547, 1657, 269, 6270, 5515, 607, 30247, 14472, 7815, 543, 20913, 12928, 625, 538, 5125, 22157, 547, 14962, 519, 10054, 540, 15851, 1145, 543, 5203, 1275, 3823, 2804, 7180, 602, 941, 3592, 24936, 11703, 1851, 519, 13794, 540, 8055, 267, 543, 789, 9244, 29739, 2390, 519, 11095, 1915, 540, 16851, 267, 9687, 538, 513, 1279, 3126, 540, 5933, 689, 824, 2010, 540, 4346, 563, 9827, 7986, 2429, 519, 2540, 941, 1346, 945, 3357, 547, 581, 1572, 519, 1514, 1235, 269, 1358, 1932, 1065, 644, 7007, 1022, 10206, 540, 15851, 1145, 543, 5203, 1275, 538, 16851, 543, 922, 2609, 540, 4357, 3959, 267, 6735, 663, 7443, 563, 303, 11823, 2257, 681, 643, 16226, 9297, 607, 513, 9015, 1282, 519, 2540, 729, 2797, 2257, 563, 2252, 519, 11633, 7169, 8604, 547, 3761, 782, 519, 2042, 24858, 519, 6228, 540, 513, 7123, 543, 1480, 324, 2486, 267, 519, 2797, 24683, 7095, 4838, 1223, 581, 2938, 607, 5627, 1082, 540, 519, 4267, 547, 891, 2042, 269, 898, 729, 519, 11180, 4838, 267, 2523, 538, 5333, 267, 602, 2813, 519, 5075, 540, 513, 2797, 2229, 3743, 585, 782, 3344, 540, 1480, 2486, 543, 267, 1034, 1271, 267, 22234, 519, 1379, 547, 29937, 713, 5539, 269, 901, 1379, 267, 1634, 607, 16285, 322, 746, 581, 2938, 607, 8066, 519, 1482, 6935, 547, 2797, 2257, 538, 519, 476, 866, 628, 2540, 602, 3854, 4371, 547, 9297, 563, 2414, 513, 1360, 1804, 1297, 540, 2797, 3744, 267, 519, 2832, 540, 519, 9015, 729, 9247, 602, 540, 7421, 519, 9867, 3601, 540, 16285, 269, 1703, 729, 513, 2178, 12402, 593, 519, 851, 540, 971, 2797, 3744, 607, 28564, 5069, 288, 755, 514, 663, 7085, 538, 4789, 543, 14731, 17389, 828, 543, 8381, 992, 14355, 538, 519, 2136, 2276, 547, 1294, 519, 1533, 543, 922, 10645, 16285, 936, 1480, 2729, 538, 1454, 519, 1482, 2474, 538, 799, 8106, 24192, 4718, 16851, 563, 16449, 2797, 3744, 972, 729, 519, 1482, 3140, 17272, 1828, 776, 29926, 689, 713, 2070, 267, 2705, 267, 602, 11478, 538, 9297, 269, 0, 12892, 1949, 616, 1950, 3889, 602, 2874, 540, 1114, 1016, 1606, 2448, 338, 269, 4475, 267, 1620, 1514, 1949, 568, 811, 2352, 982, 26762, 5907, 610, 7344, 1949, 269, 1548, 2306, 1514, 1949, 811, 1950, 982, 824, 1949, 568, 602, 2486, 568, 711, 3274, 519, 2040, 540, 1142, 1367, 538, 519, 2486, 269, 769, 519, 1699, 2518, 1062, 267, 519, 2477, 267, 799, 723, 1831, 1507, 14252, 267, 2119, 547, 2743, 3084, 3354, 2115, 676, 14291, 519, 7164, 547, 1634, 543, 7114, 519, 9756, 1851, 2797, 267, 4108, 267, 1514, 543, 2804, 2621, 269, 634, 1699, 6433, 2359, 2035, 616, 5342, 998, 9836, 4485, 269, 14755, 267, 519, 2359, 540, 1514, 267, 2804, 543, 2797, 16839, 991, 547, 581, 5342, 538, 513, 11455, 1935, 8720, 782, 1016, 1606, 2448, 338, 269, 2311, 713, 1448, 267, 519, 1599, 540, 4317, 8416, 5811, 630, 306, 2793, 264, 19674, 269, 590, 2793, 267, 799, 3029, 519, 1292, 1641, 540, 713, 1957, 267, 568, 513, 1907, 585, 6313, 519, 2497, 540, 513, 6433, 998, 12633, 908, 519, 1016, 3887, 6123, 269, 634, 2832, 540, 713, 1353, 568, 547, 1397, 875, 590, 2793, 666, 581, 1031, 538, 6433, 2359, 269, 3689, 267, 590, 2793, 568, 5340, 593, 513, 13598, 6433, 3510, 543, 519, 2164, 616, 4843, 269, 3973, 267, 519, 3606, 2565, 1239, 4170, 616, 2322, 4464, 547, 4383, 519, 6433, 3927, 563, 2252, 519, 538, 1467, 7300, 568, 711, 17021, 7157, 267, 596, 666, 4647, 519, 7300, 3758, 1934, 563, 6781, 659, 13799, 14858, 2106, 788, 667, 7238, 4135, 758, 968, 289, 559, 22080, 3331, 485, 320, 30322, 13799, 24229, 570, 926, 327, 9809, 328, 9986, 332, 752, 27535, 590, 657, 9234, 589, 30322, 1323, 531, 714, 328, 962, 752, 5055, 26535, 13799, 332, 13799, 1654, 14642, 2006, 331, 13799, 570, 926, 6062, 3331, 485, 531, 13799, 26535, 7356, 541, 13799, 892, 476, 1001, 274, 563, 6635, 6312, 681, 2529, 7159, 3600, 559, 20736, 636, 1654, 918, 10961, 962, 7238, 6339, 574, 328, 630, 28770, 11765, 543, 19822, 5004, 264, 24114, 9474, 9474, 291, 21960, 548, 26535, 1731, 918, 337, 718, 13799, 330, 1323, 531, 714, 2401, 328, 1654, 570, 14660, 7288, 6614, 7844, 328, 2983, 576, 918, 7534, 680, 13799, 30322, 13799, 962, 599, 13799, 333, 24882, 13799, 476, 6349, 15662, 508, 889, 520, 476, 1001, 277, 563, 288, 3464, 17427, 3331, 485, 564, 514, 25463, 13799, 330, 12653, 520, 589, 1715, 2598, 23002, 540, 11106, 281, 4317, 9012, 594, 13967, 5960, 476, 1001, 276, 563, 289, 26309, 3463, 1412, 9418, 262, 910, 7128, 18917, 5240, 1015, 7843, 14153, 345, 476, 1220, 276, 21700, 593, 281, 476, 1626, 269, 6860, 269, 1001, 276, 454, 294, 6686, 3464, 752, 531, 715, 1815, 14741, 590, 657, 9234, 513, 30322, 1387, 714, 328, 667, 7702, 962, 599, 13799, 333, 24882, 13799, 645, 2720, 320, 476, 1220, 280, 563, 7883, 345, 974, 701, 23715, 574, 32505, 593, 8892, 7358, 1049, 2037, 4921, 685, 16710, 6513, 543, 15536, 8232, 476, 1001, 276, 563, 384, 364, 701, 330, 857, 670, 6686, 569, 320, 968, 294, 6686, 333, 6686, 332, 6686, 345, 3331, 485, 520, 13799, 26535, 7356, 541, 13799, 24229, 590, 657, 9234, 589, 30322, 1323, 531, 714, 514, 514, 17487, 364, 560, 8811, 8663, 3430, 13403, 3331, 500, 26937, 328, 892, 5403, 12392, 5098, 476, 1001, 272, 269, 5291, 2517, 523, 25769, 3820, 28293, 270, 3725, 13905, 15461, 318, 1492, 318, 1220, 276, 318, 26780, 10734, 4861, 902, 1321, 269, 4962, 269, 1001, 276, 21700, 593, 281, 476, 1626, 269, 6860, 269, 1001, 276, 563, 297, 303, 476, 274, 268, 271, 17434, 15051, 476, 1556, 4864, 476, 1001, 272, 563, 297, 7894, 476, 276, 268, 876, 17434, 1684, 551, 9068, 22910, 5147, 476, 1001, 274, 563, 30560, 26713, 268, 31812, 5680, 2985, 5291, 2517, 4178, 269, 1067, 26713, 19986, 3122, 2593, 7933, 5315, 11305, 5142, 529, 21700, 593, 281, 476, 1240, 269, 5400, 269, 1001, 275, 563, 18404, 15844, 17318, 6796, 910, 5851, 2457, 2668, 5450, 4877, 565, 823, 16896, 21700, 593, 281, 476, 1626, 269, 6860, 269, 1001, 276, 563, 298, 541, 16120, 631, 269, 3331, 485, 520, 1779, 11535, 670, 269, 2382, 6627, 15536, 9798, 281, 589, 8865, 5530, 540, 7046, 11905, 11106, 543, 4317, 17978, 594, 13967, 5960, 306, 476, 1001, 275, 521, 563, 11847, 2176, 540, 606, 10071, 693, 20506, 23051, 9335, 13749, 476, 278, 7843, 14153, 345, 476, 1220, 276, 21700, 593, 281, 476, 1626, 269, 6860, 269, 1001, 276, 563, 8072, 20075, 839, 540, 519, 12942, 6520, 9957, 634, 26851, 630, 26780, 264, 476, 2918, 589, 30322, 755, 657, 476, 1220, 276, 21700, 593, 281, 476, 1626, 269, 6860, 269, 1001, 276, 269, 0, 763, 7799, 1400, 6611, 1063, 13957, 543, 4303, 769, 519, 12379, 334, 26410, 4813, 894, 11270, 454, 296, 935, 4919, 13753, 723, 7000, 875, 519, 3262, 540, 519, 13513, 2404, 609, 715, 20846, 543, 667, 17751, 543, 519, 1929, 1400, 2230, 602, 24508, 519, 1079, 941, 519, 2101, 1445, 585, 519, 11768, 540, 10723, 2230, 610, 9161, 3348, 3307, 338, 2429, 519, 12379, 334, 26410, 4813, 894, 11270, 269, 13957, 729, 9228, 607, 519, 1753, 540, 1454, 540, 519, 5289, 1379, 799, 519, 3504, 12379, 334, 15330, 15092, 9228, 607, 7915, 1369, 519, 14421, 1670, 2497, 540, 519, 26355, 269, 769, 1931, 547, 1852, 519, 1857, 543, 16750, 8818, 540, 713, 3909, 1620, 267, 519, 6498, 1063, 1554, 543, 3781, 2968, 519, 1034, 1713, 9161, 1445, 540, 3504, 4813, 894, 11270, 3909, 12738, 563, 29241, 713, 16680, 454, 763, 7799, 1400, 6611, 1063, 13957, 543, 4303, 769, 519, 12379, 334, 26410, 4813, 894, 11270, 269, 7671, 1234, 11035, 267, 1530, 534, 5062, 5141, 675, 269, 3465, 5034, 693, 634, 476, 10037, 560, 16316, 20051, 540, 519, 5980, 585, 1977, 26337, 267, 26551, 267, 3703, 12052, 269, 476, 1001, 278, 630, 512, 291, 2752, 7329, 281, 476, 32542, 30588, 994, 1607, 12754, 568, 3487, 540, 519, 11374, 26888, 454, 2381, 1279, 281, 910, 13040, 269, 27244, 282, 1295, 4234, 281, 476, 1321, 269, 4343, 274, 6902, 3193, 1279, 281, 910, 10436, 269, 31874, 282, 3193, 4234, 281, 476, 2537, 269, 5400, 476, 3248, 20082, 16740, 4433, 2567, 476, 8182, 8618, 0, 2252, 596, 4076, 1044, 7996, 585, 938, 3078, 1007, 21730, 3778, 543, 9177, 3785, 267, 1287, 7227, 1100, 811, 256, 2353, 476, 1626, 3785, 616, 2139, 538, 2296, 1631, 609, 519, 21730, 1893, 4528, 1739, 538, 519, 4201, 4379, 2165, 563, 5978, 21730, 3778, 543, 9177, 3785, 1445, 14311, 593, 519, 2528, 267, 1686, 543, 4346, 540, 12986, 267, 607, 1134, 607, 519, 7506, 602, 723, 8032, 519, 2197, 2221, 269, 18838, 547, 2232, 519, 7840, 689, 2048, 763, 595, 342, 878, 342, 331, 342, 332, 595, 2096, 516, 580, 267, 1686, 543, 519, 1650, 540, 12986, 3299, 1169, 1788, 814, 1044, 8499, 21503, 267, 20240, 543, 13761, 676, 3056, 1641, 12665, 543, 1142, 835, 2501, 609, 513, 4015, 540, 6131, 2200, 563, 29753, 519, 3785, 454, 5978, 16805, 2319, 540, 5830, 543, 9858, 723, 1044, 11112, 2324, 593, 891, 9735, 1007, 3785, 269, 1717, 267, 15099, 10615, 267, 9253, 534, 773, 18703, 267, 6941, 281, 968, 1607, 814, 1044, 519, 1034, 4101, 1788, 649, 4312, 2944, 547, 4266, 269, 634, 23698, 851, 814, 1044, 519, 3668, 540, 2707, 2326, 2139, 585, 1382, 5301, 269, 1703, 781, 6266, 540, 2489, 1344, 267, 585, 1383, 267, 827, 519, 31557, 267, 855, 711, 1360, 1454, 1344, 827, 519, 2360, 540, 519, 25655, 32042, 593, 12986, 269, 2334, 781, 950, 649, 1483, 2213, 875, 16602, 621, 1590, 581, 585, 3610, 547, 10994, 891, 3584, 538, 1153, 267, 2523, 689, 513, 21730, 5133, 3034, 763, 3668, 540, 2707, 1570, 1705, 711, 4744, 340, 1228, 938, 2319, 267, 2705, 267, 543, 1152, 18674, 741, 7287, 547, 1711, 519, 1655, 2200, 2009, 269, 9253, 534, 773, 1767, 281, 968, 5978, 9933, 725, 609, 519, 3668, 540, 2200, 543, 3617, 1344, 585, 3119, 9907, 1453, 814, 6273, 721, 547, 1711, 513, 5039, 531, 2179, 540, 2326, 547, 1489, 3610, 538, 519, 4928, 3034, 14071, 4312, 849, 7307, 547, 1205, 519, 1318, 3666, 1063, 3246, 1453, 609, 3255, 547, 2744, 3140, 1702, 543, 9306, 1565, 3255, 538, 2081, 602, 786, 4497, 873, 269, 5808, 1223, 5706, 1818, 513, 9910, 2203, 540, 513, 22374, 14500, 610, 5870, 5261, 519, 1230, 20960, 528, 3842, 3381, 3095, 18313, 2108, 4517, 649, 4076, 4121, 513, 2603, 1932, 256, 1284, 4312, 1336, 856, 827, 930, 4241, 1004, 689, 21730, 1686, 1107, 689, 15083, 664, 31946, 526, 385, 369, 337, 267, 519, 1004, 781, 19036, 540, 12986, 547, 717, 30591, 961, 1014, 267, 519, 24116, 27959, 269, 1452, 21730, 17691, 543, 741, 2956, 547, 519, 1686, 540, 12986, 2097, 9800, 998, 938, 3785, 269, 3776, 13085, 9858, 267, 3879, 21116, 543, 1918 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 583, 2812, 6983, 4878, 1104, 5299, 5897, 1504, 15461, 8548, 820, 6831, 4878, 24210, 331, 6113, 269, 13449, 318, 1740, 1504, 2891, 343, 331, 6113, 11859, 3149, 257, 10142, 1504, 15461, 318, 26303, 284, 32476, 263, 1504, 15461, 8548, 820, 6831, 4878, 10142, 9917, 564, 284, 1504, 15461, 318, 26303, 10947, 5334, 18694, 263, 271, 3418, 320, 284, 271, 1477, 321, 284, 274, 1477, 11907, 30381, 265, 321, 1477, 1721, 1775, 538, 2039, 263, 276, 8029, 825, 585, 795, 538, 2039, 263, 275, 8029, 1038, 575, 284, 3863, 17750, 2891, 10938, 519, 1239, 12727, 14744, 1038, 6656, 22182, 9217, 25814, 267, 326, 3418, 1504, 15461, 318, 26303, 4732, 1511, 2891, 343, 331, 6113, 11859, 3149, 8442, 1038, 1477, 1363, 5897, 0, 258, 2237, 513, 1982, 547, 1404, 513, 3014, 3109, 329, 871, 630, 3667, 1152, 1107, 1100, 12449, 1040, 27539, 602, 519, 2780, 568, 519, 31066, 543, 519, 6345, 568, 519, 3593, 563, 258, 5278, 2667, 636, 6877, 912, 258, 306, 7057, 630, 5141, 889, 338, 267, 18924, 4637, 267, 9839, 338, 267, 1975, 3547, 264, 786, 581, 16053, 454, 258, 10112, 2541, 602, 972, 616, 1152, 476, 1724, 1114, 6486, 281, 18358, 288, 3299, 273, 267, 274, 267, 275, 267, 276, 267, 277, 267, 278, 267, 279, 267, 280, 267, 1015, 10086, 297, 12887, 304, 12887, 298, 23300, 5814, 4351, 692, 258, 3553, 909, 16064, 540, 6486, 4756, 602, 786, 581, 26518, 2429, 454, 995, 671, 324, 1188, 284, 18358, 288, 3299, 273, 267, 274, 267, 275, 267, 276, 267, 277, 267, 278, 267, 279, 267, 280, 267, 1015, 10086, 297, 12887, 304, 12887, 298, 12887, 288, 3299, 273, 267, 274, 267, 275, 267, 276, 267, 277, 267, 278, 267, 279, 267, 280, 267, 1015, 10086, 297, 12887, 304, 12887, 298, 12887, 288, 3299, 273, 267, 274, 267, 275, 267, 276, 267, 277, 267, 278, 267, 279, 267, 280, 267, 1015, 10086, 297, 12887, 304, 12887, 298, 12887, 288, 3299, 273, 267, 274, 267, 275, 267, 276, 267, 277, 267, 278, 267, 279, 267, 280, 267, 1015, 10086, 297, 12887, 304, 12887, 298, 12887, 288, 262, 6540, 258, 10818, 585, 5373, 519, 1101, 1079, 6486, 630, 13092, 1688, 994, 3698, 4358, 318, 8518, 10031, 825, 1688, 17342, 2639, 825, 585, 1775, 538, 2039, 263, 273, 2187, 1038, 3556, 284, 995, 671, 324, 1188, 21014, 263, 12690, 27110, 263, 271, 267, 6352, 263, 995, 671, 324, 1188, 21875, 1038, 1688, 6910, 6262, 731, 994, 825, 2132, 263, 8518, 2020, 258, 10818, 585, 5373, 6486, 835, 693, 513, 942, 454, 3698, 2721, 15258, 10031, 1038, 3556, 284, 995, 671, 324, 1188, 21014, 263, 12690, 27110, 263, 271, 267, 6352, 263, 995, 671, 324, 1188, 21875, 1038, 2132, 6262, 731, 2020, 258, 10818, 602, 8591, 519, 6486, 9935, 689, 513, 2016, 1688, 454, 3698, 1039, 28767, 263, 8518, 2187, 825, 1871, 284, 271, 454, 825, 585, 1775, 538, 1688, 912, 1038, 952, 1826, 9217, 264, 2525, 842, 912, 2018, 1871, 23785, 328, 454, 1038, 8640, 1775, 2525, 262, 297, 262, 610, 1775, 2525, 262, 304, 262, 610, 1775, 2525, 262, 298, 12466, 2018, 1871, 23785, 1015, 454, 1038, 8640, 1775, 2525, 262, 288, 12466, 2018, 952, 16733, 7407, 266, 1556, 264, 3436, 476, 2641, 264, 2525, 12148, 912, 3546, 1871, 23785, 272, 454, 2018, 8640, 16733, 7407, 266, 1556, 264, 285, 476, 2641, 264, 2525, 16178, 912, 3546, 1871, 23785, 1556, 454, 825, 2132, 263, 7407, 2020, 258, 10818, 602, 8464, 585, 3109, 329, 871, 4481, 454, 3698, 3109, 329, 871, 6600, 1009, 8518, 267, 16149, 8518, 2187, 825, 952, 20250, 2525, 9131, 288, 3299, 1015, 316, 610, 20250, 2525, 314, 1015, 10086, 288, 11172, 912, 1038, 1820, 3488, 2791, 3893, 3109, 329, 871, 267, 596, 3094, 256, 5073, 1038, 14827, 4590, 825, 8640, 2034, 8518, 2525, 9131, 288, 3299, 1015, 316, 610, 2034, 8518, 2525, 314, 1015, 10086, 288, 11172, 912, 1038, 1820, 3488, 288, 342, 267, 519, 31066, 3893, 3109, 329, 871, 269, 590, 13446, 267, 596, 6336, 256, 5073, 1038, 14827, 4590, 825, 533, 7407, 284, 5417, 28767, 6600, 1009, 8518, 994, 825, 546, 7407, 284, 5417, 28767, 263, 16149, 8518, 994, 825, 952, 533, 7407, 2525, 2641, 912, 1038, 1820, 3488, 17812, 337, 1846, 267, 596, 3893, 3109, 329, 871, 267, 596, 3094, 256, 5073, 825, 8640, 546, 7407, 2525, 2641, 912, 1038, 1820, 3488, 763, 31066, 3893, 3109, 329, 871, 267, 20994, 596, 6336, 256, 5073, 825, 3116, 912, 1038, 1780, 692, 258, 10818, 602, 8464, 2949, 11434, 454, 3698, 18176, 263, 16651, 267, 1372, 29993, 2187, 825, 952, 6345, 2525, 2641, 912, 1038, 1820, 3488, 17812, 337, 1846, 267, 596, 3893, 3109, 329, 871, 267, 596, 3094, 256, 5073, 825, 8640, 31066, 2525, 2641, 912, 1038, 1820, 3488, 763, 31066, 3893, 3109, 329, 871, 267, 20994, 596, 6336, 256, 5073, 825, 8640, 6345, 285, 2420, 912, 1038, 1820, 3488, 28989, 267, 9767, 6336, 256, 5073, 825, 8640, 31066, 285, 2420, 912, 1038, 1820, 3488, 763, 31066, 4503, 267, 596, 3094, 256, 5073, 825, 8640, 6345, 2525, 1372, 29993, 912, 1038, 1820, 3488, 307, 773, 2418, 267, 596, 6336, 256, 5073, 825, 8640, 6345, 285, 1372, 29993, 912, 1038, 1820, 3488, 2791, 20639, 2362, 269, 1411, 3094, 256, 5073, 825, 8640, 6345, 283, 1372, 29993, 912, 1038, 1820, 3488, 763, 31066, 20639, 2362, 269, 1411, 6336, 256, 17210, 258, 32491, 602, 10905, 824, 3252, 547, 1450, 324, 3593, 547, 1404, 3109, 329, 871, 2336, 3698, 1404, 318, 18872, 329, 871, 10031, 825, 1820, 2891, 17098, 267, 1577, 781, 1404, 513, 3014, 540, 3109, 329, 871, 256, 1411, 2721, 1101, 5602, 825, 6345, 8518, 284, 11034, 532, 318, 8518, 4590, 825, 533, 7407, 284, 5417, 28767, 263, 16651, 8518, 994, 825, 1820, 3488, 7312, 1688, 568, 262, 266, 1598, 263, 16651, 8518, 11924, 262, 315, 333, 3086, 519, 31066, 786, 2721, 5073, 825, 4308, 8518, 284, 11034, 532, 318, 8518, 4590, 825, 546, 7407, 284, 5417, 28767, 263, 1372, 531, 8518, 994, 825, 3109, 329, 871, 263, 16651, 8518, 267, 1372, 531, 8518, 994, 825, 1820, 3488, 2791, 616, 4867, 12595, 693, 1412, 266, 1598, 9638, 7407, 4917, 825, 3903, 284, 6358, 3488, 25898, 596, 899, 547, 1496, 323, 316, 3863, 1776, 3556, 610, 1496, 335, 316, 817, 286, 5073, 825, 952, 3903, 2525, 262, 323, 12466, 1038, 6345, 8518, 6910, 5560, 3863, 15258, 15405, 1038, 1247, 546, 7407, 27045, 1626, 912, 2018, 4308, 8518, 6910, 5560, 3863, 15258, 15405, 2018, 546, 7407, 284, 5417, 28767, 263, 1372, 531, 8518, 994, 1038, 1820, 263, 16651, 8518, 267, 4308, 8518, 994, 1038, 533, 7407, 284, 5417, 28767, 263, 16651, 8518, 994, 1038, 1820, 2891, 7312, 6060, 568, 834, 1341, 1193, 9638, 7407, 264, 1341, 257, 543, 519, 31066, 781, 568, 834, 266, 1598, 5560, 7407, 4917, 1038, 18176, 9638, 7407, 28504, 7407, 994, 825, 8640, 3903, 2525, 262, 335, 12466, 1038, 1247, 546, 7407, 27045, 1626, 912, 2018, 4308, 8518, 6910, 5560, 3863, 15258, 15405, 2018, 546, 7407, 284, 5417, 28767, 263, 1372, 531, 8518, 994, 1038, 1820, 263, 16651, 8518, 267, 4308, 8518, 994, 1038, 533, 7407, 284, 5417, 28767, 263, 16651, 8518, 994, 1038, 1820, 2891, 7312, 6060, 568, 834, 1341, 1193, 9638, 7407, 264, 1341, 257, 543, 519, 31066, 781, 568, 834, 266, 1598, 5560, 7407, 4917, 1038, 18176, 9638, 7407, 28504, 7407, 2020, 2452, 318, 18872, 329, 871, 4590, 0, 3698, 18287, 3799, 267, 1535, 2187, 825, 934, 815, 476, 271, 454, 825, 586, 815, 1535, 454, 825, 1247, 586, 10922, 562, 912, 1038, 934, 6834, 562, 12262, 586, 454, 1038, 586, 2608, 284, 1535, 454, 825, 2132, 934, 7531, 333, 815, 703, 9272, 15405, 2745, 263, 5632, 322, 3799, 267, 476, 276, 4917, 0, 5228, 6345, 1104, 26761, 454, 5814, 621, 1068, 8962, 454, 5814, 2979, 7531, 5035, 20700, 5308, 322, 1681, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 3193, 318, 7992, 318, 4219, 267, 3193, 5334, 26973, 14682, 777, 2187, 1038, 1582, 27982, 318, 7992, 318, 4219, 815, 3193, 318, 7992, 318, 4219, 454, 1038, 1582, 27982, 5334, 26973, 14682, 777, 815, 3193, 5334, 26973, 14682, 777, 692, 825, 1219, 3589, 306, 13990, 4311, 267, 3014, 267, 6205, 4580, 22561, 2187, 1038, 1948, 1403, 713, 568, 519, 1101, 2196, 267, 972, 786, 581, 1100, 6205, 4580, 454, 1038, 952, 6205, 4580, 568, 7183, 912, 2018, 2132, 834, 2467, 3884, 1405, 2943, 513, 6205, 4580, 30882, 1038, 2164, 815, 3014, 10947, 24342, 10797, 1038, 8464, 815, 9598, 4590, 1038, 3977, 815, 834, 5016, 1038, 1948, 5192, 1142, 6345, 538, 519, 3014, 454, 1038, 585, 6345, 538, 2164, 912, 2018, 952, 6345, 711, 538, 6205, 4580, 281, 476, 1948, 1294, 952, 519, 6345, 568, 1007, 454, 3546, 2132, 834, 4692, 1405, 3589, 256, 15079, 3884, 1405, 513, 4570, 1268, 538, 519, 6205, 4580, 1701, 269, 8971, 263, 16651, 20508, 994, 2018, 1948, 5192, 519, 6345, 781, 3105, 630, 9690, 264, 1714, 334, 1354, 9273, 616, 1500, 454, 2018, 8464, 314, 16651, 20508, 316, 815, 6205, 4580, 27007, 548, 14575, 4580, 28827, 263, 16651, 4297, 4940, 601, 334, 692, 1038, 585, 6345, 19963, 267, 6345, 10734, 538, 621, 1068, 8962, 2593, 321, 5209, 263, 29798, 267, 476, 273, 2187, 2018, 1948, 12433, 519, 4960, 602, 26761, 589, 1058, 3094, 713, 3014, 1759, 593, 741, 1714, 334, 454, 2018, 4960, 15058, 318, 16651, 19963, 318, 7773, 940, 815, 1582, 26716, 766, 15058, 318, 7773, 940, 4433, 13990, 314, 16651, 19963, 20508, 16689, 14030, 4449, 3546, 8464, 314, 16651, 10734, 20508, 7481, 2018, 1820, 2891, 32156, 589, 20700, 302, 281, 834, 1341, 1193, 4433, 13990, 314, 16651, 19963, 20508, 28413, 2018, 1820, 2891, 32156, 645, 20700, 302, 281, 834, 1341, 1193, 4433, 13990, 314, 16651, 10734, 20508, 28413, 2018, 1820, 263, 577, 766, 15058, 318, 16651, 19963, 318, 7773, 940, 2020, 2018, 3977, 6834, 834, 2467, 568, 513, 2715, 271, 15545, 273, 260, 348, 4960, 602, 2715, 272, 348, 786, 10726, 2715, 273, 20467, 315, 333, 2668, 8971, 18692, 3546, 4960, 15058, 318, 16651, 19963, 318, 7773, 940, 267, 6345, 19963, 20508, 267, 6345, 10734, 20508, 2020, 1038, 2132, 3977, 692, 825, 1219, 9337, 306, 13990, 4311, 267, 3014, 267, 6205, 4580, 22561, 2187, 1038, 1948, 1403, 713, 568, 519, 1101, 2196, 267, 972, 786, 581, 1100, 6205, 4580, 454, 1038, 952, 6205, 4580, 568, 7183, 912, 2018, 6205, 4580, 815, 11713, 1038, 2164, 815, 3014, 10947, 24342, 3890, 476, 1948, 3807, 1205, 519, 4408, 540, 1142, 6345, 267, 543, 741, 3803, 6060, 454, 1038, 1948, 855, 2164, 568, 606, 5044, 540, 6345, 3615, 267, 741, 1714, 334, 568, 476, 1911, 271, 267, 1747, 543, 3756, 5129, 568, 476, 271, 692, 1038, 1948, 8073, 21594, 585, 519, 3105, 1714, 657, 267, 543, 519, 2121, 1689, 540, 1714, 334, 829, 6345, 454, 1038, 3105, 5334, 13990, 815, 9598, 4590, 1038, 1714, 334, 318, 4219, 815, 9598, 10797, 1038, 1948, 5192, 1142, 6345, 538, 519, 3014, 454, 1038, 585, 6345, 538, 2164, 912, 2018, 952, 6345, 711, 538, 6205, 4580, 281, 476, 1948, 1294, 952, 519, 6345, 568, 1007, 454, 3546, 6205, 4580, 6910, 263, 16651, 994, 2018, 1948, 5192, 519, 6345, 781, 3105, 630, 9690, 264, 1714, 334, 1354, 9273, 616, 1500, 454, 2018, 3105, 5334, 13990, 314, 16651, 20508, 316, 815, 6205, 4580, 27007, 548, 14575, 4580, 28827, 263, 16651, 4297, 2639, 2018, 1948, 5410, 519, 6345, 547, 519, 9598, 585, 4957, 1714, 334, 547, 1039, 547, 873, 693, 519, 1439, 540, 519, 9273, 454, 2018, 1714, 334, 318, 4219, 314, 16651, 20508, 316, 815, 476, 271, 692, 1038, 1948, 31230, 998, 1142, 6345, 543, 5173, 741, 1714, 334, 1996, 519, 824, 5716, 630, 5976, 32089, 994, 1038, 585, 6345, 19963, 267, 6345, 10734, 538, 621, 1068, 8962, 269, 11279, 20706, 263, 29798, 267, 476, 273, 2187, 2018, 1820, 2891, 32156, 589, 281, 834, 1341, 6345, 19963, 20508, 1341, 834, 5288, 269, 26761, 645, 281, 834, 1341, 6345, 10734, 20508, 2020, 2018, 513, 318, 601, 334, 815, 3105, 5334, 13990, 314, 16651, 19963, 20508, 4940, 601, 334, 454, 2018, 536, 318, 601, 334, 815, 3105, 5334, 13990, 314, 16651, 10734, 20508, 4940, 601, 334, 692, 2018, 1705, 318, 16651, 19963, 318, 7773, 815, 1582, 269, 16651, 19963, 16062, 517, 263, 16651, 19963, 267, 6345, 10734, 2020, 2018, 952, 1705, 318, 16651, 19963, 318, 7773, 912, 3546, 11802, 8548, 738, 328, 680, 1512, 815, 2979, 28802, 263, 11274, 17301, 263, 16651, 19963, 269, 9557, 264, 910 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 31594, 15482, 3590, 476, 279, 31594, 23281, 3590, 589, 28438, 645, 715, 846, 595, 661, 1513, 4147, 5590, 476, 273, 31594, 22845, 28024, 13762, 3590, 634, 31594, 13201, 589, 5548, 6510, 28024, 13987, 22702, 2060, 4033, 26495, 1023, 898, 24439, 8307, 476, 279, 2986, 634, 10610, 13379, 1306, 22702, 1677, 476, 1321, 1677, 476, 1724, 454, 1556, 476, 2537, 6226, 24304, 3590, 8018, 6925, 8644, 516, 3667, 338, 454, 1556, 476, 2537, 6226, 24304, 3590, 8018, 7831, 21213, 16440, 1306, 8525, 16740, 19928, 3176, 1635, 25288, 4521, 5459, 17976, 337, 2311, 17305, 6210, 12443, 23855, 545, 14480, 539, 514, 1715, 10215, 19928, 12781, 476, 272, 5410, 634, 11374, 6997, 1564, 1677, 634, 12810, 2986, 589, 26495, 531, 590, 28066, 12989, 7754, 17759, 6970, 1815, 636, 853, 6729, 25351, 636, 11829, 2349, 9554, 623, 2643, 7595, 590, 874, 3307, 518, 9540, 2271, 32347, 16690, 20506, 744, 525, 20652, 645, 850, 667, 10631, 476, 273, 26969, 634, 16323, 2986, 634, 6226, 24304, 763, 6226, 24304, 3590, 2986, 634, 31594, 12660, 542, 12292, 454, 8139, 2659, 31594, 590, 6226, 24304, 2107, 30887, 14528, 3590, 4024, 6435, 1677, 7994, 634, 7454, 10791, 1280, 2659, 8891, 5221, 681, 13741, 1080, 3117, 2541, 17316, 9317, 7233, 10049, 1358, 18771, 16202, 589, 20769, 1677, 20821, 4256, 715, 22021, 20126, 1717, 4256, 30887, 14528, 570, 847, 1772, 9540, 22702, 1677, 4033, 4173, 321, 643, 2803, 6270, 1306, 32130, 1656, 595, 4490, 1924, 1677, 6452, 7951, 622, 14066, 2549, 870, 338, 2986, 12518, 5253, 631, 7174, 3414, 634, 570, 847, 763, 31594, 6226, 24304, 3590, 454, 1692, 634, 31594, 6226, 24304, 3590, 3718, 634, 19461, 853, 1137, 2986, 31594, 6226, 3878, 3657, 634, 23893, 1306, 4107, 26495, 1023, 1879, 589, 31594, 661, 1846, 634, 5253, 3004, 12069, 3245, 634, 631, 1926, 13560, 634, 744, 525, 20652, 20553, 634, 853, 6729, 1656, 2201, 1677, 634, 9540, 2271, 32347, 634, 9540, 2271, 32347, 1772, 13786, 1043, 1280, 12559, 528, 6883, 634, 715, 19153, 3245, 634, 5253, 1306, 5253, 3004, 12069, 13966, 898, 2037, 10192, 16505, 634, 5253, 13560, 20553, 10572, 715, 19153, 2334, 763, 6226, 24304, 3590, 6096, 667, 7809, 25217, 338, 454, 5278, 2986, 634, 6096, 12989, 3657, 634, 6226, 24304, 3590, 6096, 1912, 1162, 2986, 6226, 3878, 6226, 24304, 3590, 9257, 20506, 11829, 2349, 9554, 7754, 17759, 15136, 2986, 634, 6226, 24304, 3590, 16016, 3878, 6226, 3878, 20996, 6226, 3878, 11906, 6226, 3878, 10555, 542, 12559, 26975, 6226, 24304, 15873, 4495, 1411, 4855, 2659, 8018, 590, 1411, 2052, 23657, 8437, 2201, 634, 7377, 4934, 27748, 2107, 8281, 29502, 1677, 7179, 454, 14707, 24304, 3590, 6096, 28469, 1181, 8127, 10507, 331, 454, 17582, 18694, 476, 273, 6226, 24304, 3590, 9061, 5320, 901, 9061, 5320, 17352, 16301, 1656, 16610, 13565, 1677, 634, 5530, 2986, 634, 6226, 24304, 3590, 8018, 476, 274, 6226, 24304, 3590, 6478, 9612, 589, 6478, 9612, 2334, 17352, 9978, 12910, 11659, 13565, 1677, 634, 6226, 24304, 3590, 8018, 476, 275, 6226, 24304, 3590, 22443, 11314, 4841, 22443, 589, 12810, 2986, 634, 6226, 24304, 3590, 6997, 1564, 3657, 9717, 2311, 634, 645, 18847, 2986, 634, 16847, 454, 763, 6226, 24304, 3590, 8018, 9752, 8249, 454, 288, 8018, 14190, 532, 5753, 634, 26840, 1677, 22443, 634, 6226, 24304, 3590, 1656, 3973, 2311, 634, 645, 18847, 12315, 589, 13517, 2986, 898, 590, 16763, 10020, 1677, 2142, 13242, 1635, 5729, 476, 275, 2107, 4147, 5729, 476, 274, 476, 275, 1879, 23560, 634, 6226, 24304, 3590, 769, 3163, 898, 1230, 13935, 634, 2974, 19405, 2986, 744, 525, 20652, 9453, 634, 744, 769, 634, 12810, 4495, 7179, 539, 901, 2052, 2142, 932, 6548, 2107, 12344, 8571, 634, 23206, 1677, 634, 5753, 1656, 14190, 23067, 1677, 7827, 898, 454, 305, 629, 4226, 6226, 24304, 3590, 8018, 269, 634, 4976, 568, 606, 25819, 540, 476, 275, 10578, 18697, 602, 786, 3986, 707, 4819, 781, 1702, 543, 5759, 269, 634, 3211, 616, 6035, 538, 1646, 958, 3617, 8747, 585, 3214, 540, 1114, 6502, 269, 17006, 543, 18946, 9981, 3211, 538, 1082, 9832, 1519, 513, 1297, 540, 5079, 585, 24324, 946, 563, 2791, 666, 2253, 609, 519, 26627, 27664, 17400, 1161, 543, 1310, 602, 1847, 4464, 609, 519, 27608, 17400, 1161, 269, 29986, 585, 3214, 786, 849, 581, 2864, 2241, 547, 1020, 538, 971, 513, 6752, 269, 1403, 596, 2811, 606, 2937, 543, 6999, 547, 2333, 707, 13002, 267, 621, 666, 581, 12913, 269, 1306, 513, 1267, 267, 538, 519, 2680, 602, 596, 2731, 6999, 547, 3986, 13002, 540, 707, 4819, 267, 31657, 547, 2263, 519, 5383, 540, 606, 10995, 1565, 1907, 1631, 2336, 13706, 875, 596, 6999, 547, 17492, 707, 4357, 5132, 3948, 269, 6884, 5022, 723, 547, 581, 14661, 547, 3514, 538, 513, 1880, 2230, 269, 1879, 513, 4484, 1281, 711, 723, 1022, 7299, 338, 899, 513, 3854, 589, 610, 966, 267, 519, 1360, 1101, 15497, 8482, 568, 9833, 607, 519, 6565, 269, 634, 4448, 543, 1793, 5896, 5022, 786, 581, 3833, 2241, 547, 1106, 2899, 519, 1082, 5546, 556, 19927, 1134, 269, 4634, 1945, 607, 2653, 607, 27378, 519, 4098, 4484, 540, 1279, 1913, 666, 4217, 707, 1126, 2087, 1010, 18551, 5759, 269, 31594, 6226, 24304, 3590, 8018, 563, 2467, 3884, 1405, 4376, 899, 513, 24077, 1650, 267, 543, 4986, 899, 1373, 519, 1268, 945, 3323, 513, 12021, 4683, 10828, 269, 5463, 4575, 2390, 519, 4998, 1935, 8905, 595, 27641, 1603, 568, 10416, 8678, 5346, 13002, 269, 6657, 2542, 676, 3054, 607, 1419, 607, 2009, 563, 10932, 4683, 17691, 547, 3489, 513, 1523, 540, 1018, 781, 856, 972, 1991, 547, 1818, 513, 1007, 835, 269, 1411, 616, 1869, 711, 2386, 519, 18119, 723, 519, 1697, 2856, 269, 28900, 267, 596, 4465, 1405, 946, 519, 5354, 540, 707, 2093, 269, 1403, 596, 4312, 3893, 606, 2856, 585, 513, 1907, 5225, 1217, 721, 269, 2334, 1797, 596, 666, 2253, 1318, 1141, 596, 616, 1100, 2339, 875, 2370, 596, 1522, 1745, 596, 4312, 3893, 547, 2285, 269, 1411, 616, 849, 3833, 19035, 540, 1022, 12316, 6521, 269, 769, 4505, 2053, 596, 4312, 7150, 602, 519, 1847, 540, 7115, 949, 581, 1932, 2038, 563, 10376, 3992, 538, 13002, 1058, 1376, 593, 513, 4195, 1007, 2985, 267, 865, 519, 2370, 835, 3587, 2614, 4055, 547, 2259, 269, 5272, 13002, 3992, 1058, 2253, 609, 519, 26897, 269, 29986, 1565, 568, 1175, 835, 540, 519, 1034, 1271, 1565, 2115, 540, 513, 4819, 269, 4804, 875, 547, 1224, 3884, 1405, 1175, 4101, 267, 855, 1187, 1932, 563, 763, 946, 540, 21870, 634, 946, 540, 21870, 568, 4105, 538, 15980, 707, 1126, 1451, 547, 13724, 13002, 269, 4746, 267, 7703, 538, 2247, 602, 6148, 707, 1360, 1101, 2119, 693, 23730, 949, 711, 3142, 4376, 4143, 267, 855, 1810, 1405, 3247, 3843, 269, 4495, 596, 616, 2111, 547, 960, 267, 596, 1522, 581, 14281, 875, 1454, 596, 1205, 2944, 269, 6875, 883, 7156, 875, 596, 1745, 827, 3054, 269, 15775, 2111, 547, 12189, 519, 9477, 2337, 3514, 811, 5022, 538, 513, 2370, 2230, 610, 3262, 856, 5022, 952, 789, 2811, 1932, 9395, 269, 12344, 596, 1590, 21821, 519, 5351, 540, 1776, 812, 547, 5000, 610, 948, 596, 1832, 5059, 563, 305, 629, 4226, 6226, 24304, 3590, 8018, 269, 8347, 547, 3314, 267, 596, 2141, 723, 547, 1416, 585, 707, 1126, 609, 5863, 1416, 267, 8296, 543, 15754, 547, 581, 2111, 547, 948, 1864, 1451, 269, 1411, 949, 849, 2307, 707, 4819, 781, 4116, 585, 3063, 3211, 269, 2659, 5067, 610, 8250, 568, 711, 2469, 547, 1175, 1451, 513, 1114, 4990, 540, 13944, 855, 538, 1840, 1451, 875, 547, 2328, 12461, 14688, 1317, 25777, 1603, 568, 3833, 4190, 547, 2638, 856, 269, 1306, 513, 1267, 267, 952, 513, 4819, 568, 2907, 7092, 689, 11838, 1010, 13002, 786, 9090, 581, 4299, 269, 22353, 267, 547, 581, 2111, 547, 9585, 713, 267, 952, 1453, 616, 6026, 547, 1106, 1114, 5546, 538, 513, 5078, 6752, 267, 621, 568, 2469, 547, 5512, 873, 547, 17492, 519, 5022, 538, 513, 2731, 5347, 543, 2653, 1505, 269, 4014, 621, 666, 581, 20036, 1169, 942, 513, 27344, 3081, 646, 2196, 2740, 593, 519, 19209, 267, 1053, 1616, 547, 1174, 875, 547, 946, 2250, 13029, 865, 607, 547, 3717, 543, 2328, 7157, 269, 2913, 2161, 267, 596, 1131, 899, 547, 5818, 707, 5067, 781, 610, 8250, 781, 13002, 267, 621, 568, 855, 6654, 602, 596, 1616, 547, 2285, 707, 5067, 610, 8250, 7899, 540, 2259, 267, 607, 789, 2161, 267, 2259, 2306, 3501, 563, 21413, 18551, 1983, 267, 621, 781, 3592, 7543, 267, 2523, 585, 3214, 267, 547, 1451, 875, 547, 1224, 1007, 1913, 269, 9828, 547, 7435, 548, 23206, 12983, 898, 568, 5393, 1898, 602, 1058, 596, 3605, 707, 4819, 568, 538, 3430, 550, 633, 547, 1010, 1565, 2523, 950, 621, 814, 547, 798, 609, 2542, 543, 1603, 2152, 596, 1590, 2253, 2324, 593, 1585, 2081, 543, 547, 2087, 621, 269, 2422, 513, 2875, 781, 2012, 538, 1169, 4845, 865, 972, 781, 513, 2582, 4845, 585, 1142, 4819, 269, 5221, 646, 610, 1352, 16137, 693, 1010, 1378, 2557, 267, 972, 568, 930, 13260, 538, 519, 2085, 950, 513, 1126, 568, 4712, 547, 1451, 547, 1224, 269, 9752, 707, 4819, 547, 1106, 519, 26897, 568, 3833, 513, 7294, 2259, 269, 0, 294, 2958, 528, 1470, 700, 6759, 19649, 630, 23116, 994, 1607, 2376, 1281, 711, 13712, 1022, 2959, 269, 630, 9802, 476, 1708, 271, 264, 630, 9596, 875, 543, 950, 547, 4894, 713, 10959, 5048, 994, 299, 6759, 19649, 586, 17540, 550, 525, 729, 4535, 538, 513, 10443, 577, 1572, 834, 14976, 631, 20207, 257, 538, 519, 13535, 770, 29132, 3148, 540, 7638, 659, 745, 345, 538, 476, 6245, 276, 269, 1261, 3323, 1603, 693, 519, 2085, 540, 476, 1428, 267, 950, 519, 11204, 7169, 3459, 269, 3509, 540, 1010, 2835, 616, 1644, 547, 519, 3540, 4655, 563, 30952, 593, 646, 2968, 513, 4116, 540, 3332, 693, 513, 1153, 538, 6792, 4975, 269, 769, 476, 4572, 272, 646, 3459, 1603, 585, 519, 4432, 17629, 1419, 896, 519, 570, 592, 1470, 674, 269, 623, 3150, 20044, 15554, 7716, 269, 3571, 2984, 941, 2938, 607, 3078, 267, 14973, 267, 543, 12572, 540, 6792, 269, 589, 1483, 626, 267, 1082, 540, 1010, 1568, 7255, 519, 15746, 540, 7111, 4892, 269, 1261, 729, 513, 4207, 540, 631, 4115, 334, 10897, 21731, 543, 6742, 27713, 30511, 2871, 345, 332, 17505, 563, 3891, 814, 2854, 1082, 2835, 1519, 5487, 521, 3931, 320, 632, 1835, 626, 531, 630, 4489, 275, 1070, 22548, 657, 632, 13276, 9366, 630, 4572, 272, 1070, 4432, 13112, 629, 1495, 334, 630, 4572, 273, 1070, 4432, 620, 2742, 1642, 533, 29793, 778, 334, 630, 4572, 275, 1070, 8805, 3512, 334, 630, 4350, 272, 1070, 570, 20346, 630, 4350, 273, 1070, 2485, 350, 300, 328, 2489, 256, 630, 4350, 275, 1070, 4432, 1473, 1470, 630, 4350, 276, 1070, 1488, 8175, 657, 630, 4350, 278, 1070, 13535, 770, 29132, 630, 4350, 280, 1070, 1133, 320, 14295, 320, 513, 667, 3930, 630, 3707, 271, 264, 589, 4484, 547, 2696, 267, 543, 1082, 811, 454, 3891, 729, 13752, 519, 2817, 15356, 540, 8551, 543, 7070, 538, 476, 4350, 276, 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 ]
[ 568, 519, 1543, 538, 6935, 547, 16460, 519, 2243, 269, 5269, 2386, 707, 1557, 2047, 9607, 519, 2243, 910, 3314, 621, 568, 6998, 596, 827, 519, 631, 24518, 7495, 306, 269, 2659, 1557, 14509, 513, 3787, 607, 952, 596, 616, 1175, 7234, 519, 5413, 543, 11393, 540, 10229, 563, 22546, 338, 540, 31055, 593, 5980, 4828, 12726, 269, 1677, 513, 1978, 6708, 10229, 814, 1312, 2318, 543, 2942, 2360, 593, 2486, 269, 22339, 1047, 906, 1312, 3895, 13884, 543, 849, 568, 18259, 269, 31055, 666, 1198, 1004, 676, 1818, 873, 18484, 622, 1973, 630, 13126, 589, 1070, 8673, 13189, 630, 13126, 645, 1070, 543, 968, 516, 514, 4403, 7292, 267, 2686, 267, 543, 4638, 11475, 630, 25899, 667, 1040, 22339, 1047, 906, 2119, 547, 1205, 563, 3849, 3200, 2358, 568, 3810, 2500, 543, 1434, 538, 930, 2081, 267, 855, 891, 1762, 1004, 5749, 1406, 3222, 540, 519, 2942, 2360, 10229, 814, 593, 873, 269, 31055, 538, 922, 7756, 22553, 27657, 5525, 723, 3254, 602, 1453, 543, 10708, 2070, 476, 2412, 476, 1822, 18537, 829, 1032, 593, 7641, 4805, 2687, 547, 1290, 18450, 543, 5576, 541, 17243, 563, 27078, 894, 12186, 540, 20548, 4809, 31055, 269, 20548, 4809, 31055, 22339, 1047, 906, 616, 10876, 267, 10707, 676, 782, 2081, 2009, 267, 22467, 7992, 519, 7834, 602, 1169, 1268, 6585, 1271, 547, 873, 1345, 543, 741, 1920, 563, 3849, 3200, 2358, 9356, 4207, 2486, 269, 634, 1818, 540, 606, 740, 5299, 267, 922, 5048, 267, 922, 12383, 267, 519, 1587, 6994, 2213, 543, 519, 9029, 1031, 267, 782, 891, 723, 513, 1514, 30993, 269, 31055, 5540, 2486, 543, 4991, 4299, 676, 621, 269, 5213, 1405, 946, 12735, 3511, 1242, 2959, 8160, 7394, 12186, 540, 31055, 620, 30901, 26874, 12186, 540, 31055, 18712, 543, 22099, 616, 1079, 30890, 550, 885, 799, 616, 851, 540, 938, 1554, 547, 1554, 2729, 269, 22339, 1047, 618, 568, 513, 1797, 540, 9513, 856, 2472, 547, 6800, 267, 799, 538, 1034, 2665, 616, 27105, 543, 2484, 689, 4641, 9950, 977, 338, 540, 31055, 593, 5753, 4828, 11192, 2070, 593, 10229, 3849, 3200, 2358, 568, 519, 6643, 20794, 539, 689, 3549, 547, 22321, 606, 5304, 547, 6718, 1082, 269, 901, 5872, 568, 2356, 269, 11192, 2070, 593, 10229, 3849, 3200, 2358, 568, 519, 6643, 20794, 539, 689, 3549, 547, 22321, 606, 5304, 547, 6718, 1082, 269, 0, 1103, 519, 476, 1960, 271, 338, 267, 609, 519, 6024, 1646, 540, 3114, 543, 14453, 2872, 267, 19202, 2872, 543, 5277, 12627, 4159, 5663, 2029, 267, 519, 4170, 585, 2973, 12511, 1604, 616, 2362, 543, 2362, 269, 634, 1966, 540, 3282, 2132, 540, 2757, 3282, 20177, 7344, 6802, 568, 5051, 8650, 267, 543, 513, 1007, 1826, 540, 12511, 6802, 609, 7123, 543, 6325, 5106, 543, 2347, 3282, 6954, 23028, 13570, 568, 2712, 326, 1836, 2877, 269, 634, 3819, 17684, 12511, 6802, 568, 4535, 538, 10220, 269, 769, 476, 6245, 271, 267, 25303, 2754, 540, 12590, 538, 519, 2136, 2276, 11827, 519, 1101, 18618, 1606, 920, 342, 6802, 538, 519, 1158, 269, 670, 719, 14654, 514, 2754, 540, 519, 13814, 11827, 519, 1101, 18618, 1606, 920, 342, 6802, 538, 2342, 538, 476, 4572, 280, 269, 634, 10626, 2203, 814, 519, 5383, 540, 2241, 543, 11741, 2497, 267, 7123, 543, 6325, 5106, 267, 1463, 2011, 11166, 267, 2347, 3282, 6954, 538, 519, 2011, 10868, 13570, 267, 3092, 563, 763, 3818, 2212, 23301, 9043, 12090, 689, 17684, 26468, 3323, 4505, 267, 543, 930, 9755, 2047, 946, 519, 23301, 9043, 540, 17684, 26468, 538, 12511, 6802, 269, 12231, 25764, 814, 1279, 1031, 476, 275, 268, 277, 17684, 23301, 12632, 538, 12511, 15450, 269, 9437, 781, 12511, 15450, 538, 9705, 849, 946, 2789, 23301, 12632, 693, 1459, 269, 5221, 519, 1283, 540, 519, 3346, 1899, 540, 1079, 7722, 4232, 832, 3112, 3914, 519, 10167, 1899, 540, 519, 12718, 9475, 540, 519, 5256, 543, 4775, 4232, 832, 267, 513, 2230, 17208, 6906, 786, 581, 4646, 1063, 519, 1283, 540, 519, 3346, 1899, 543, 519, 23301, 12718, 8559, 540, 519, 7387, 267, 602, 568, 267, 519, 24694, 6906, 269, 634, 3154, 786, 3245, 519, 4320, 1063, 4522, 609, 2362, 2604, 547, 519, 4320, 1063, 11105, 4522, 609, 2539, 2604, 267, 1813, 547, 519, 6228, 540, 713, 24694, 6906, 267, 519, 3970, 12511, 4110, 540, 519, 3818, 2212, 17684, 12511, 6802, 568, 1970, 269, 769, 1840, 267, 713, 2186, 540, 23301, 568, 2352, 547, 1184, 543, 3340, 2027, 3684, 2645, 267, 799, 568, 7199, 267, 865, 621, 7930, 608, 1080, 519, 17684, 12511, 6802, 2344, 563, 1103, 1931, 547, 2743, 519, 2344, 3747, 267, 3549, 3459, 547, 1020, 2582, 2212, 3160, 12334, 23301, 9043, 269, 2311, 1459, 267, 519, 2582, 2212, 12511, 6802, 1869, 26328, 513, 1804, 2344, 563, 24868, 762, 12334, 17684, 6802, 568, 606, 18175, 24612, 1587, 540, 3160, 12334, 17684, 6802, 269, 9603, 547, 1100, 4835, 13496, 1184, 267, 519, 9688, 2837, 540, 3586, 12334, 17684, 6802, 568, 1360, 1164, 269, 1403, 519, 9023, 1198, 568, 711, 1434, 267, 519, 23301, 543, 524, 2084, 786, 581, 632, 11526, 267, 799, 786, 1860, 519, 23028, 1198, 269, 6762, 2401, 267, 918, 10154, 543, 5487, 756, 7776, 782, 2919, 543, 2322, 519, 2472, 593, 519, 2344, 593, 519, 4493, 540, 2582, 2212, 12334, 23301, 9043, 269, 634, 3391, 1899, 630, 3559, 1460, 264, 540, 519, 9998, 17684, 12511, 6802, 568, 3586, 267, 602, 568, 267, 519, 3160, 12334, 17684, 269, 634, 5420, 630, 10852, 569, 3154, 264, 568, 10299, 538, 519, 1482, 4320, 3330, 519, 6802, 1560, 267, 543, 19316, 693, 519, 9688, 2823, 267, 799, 12851, 547, 519, 5007, 13496, 267, 609, 1164, 1648, 4616, 543, 6846, 269, 3245, 519, 1448, 540, 2070, 540, 1648, 4398, 267, 519, 2324, 3154, 666, 581, 19316, 24323, 269, 7201, 519, 2783, 602, 519, 1439, 3068, 9043, 568, 24240, 267, 519, 4835, 13496, 666, 581, 7691, 676, 4657, 519, 1291, 540, 519, 927, 1460, 267, 2810, 519, 1291, 540, 519, 32137, 1439, 267, 9750, 519, 32137, 4320, 267, 4227, 519, 1291, 540, 519, 9688, 1439, 267, 4227, 519, 3154, 1394, 6503, 24694, 267, 5355, 519, 9688, 4390, 543, 4227, 519, 1648, 4616, 563, 1103, 519, 1374, 540, 519, 17684, 23301, 267, 519, 1034, 1271, 568, 519, 1374, 9043, 267, 1317, 519, 23301, 9043, 10416, 11887, 519, 2773, 540, 519, 17684, 3684, 269, 634, 6024, 6454, 540, 17684, 7344, 3601, 543, 519, 6024, 7269, 540, 922, 2344, 2671, 616, 5702, 1644, 547, 519, 1646, 540, 23301, 9043, 563, 1103, 519, 8717, 540, 519, 476, 2641, 560, 2540, 267, 896, 519, 5718, 540, 20568, 2473, 826, 329, 684, 267, 2489, 9614, 609, 811, 982, 476, 736, 1296, 262, 1995, 538, 14453, 543, 3114, 2504, 267, 1261, 2041, 328, 966, 7709, 12511, 814, 12842, 4914, 4359, 2029, 543, 1374, 1523, 547, 3048, 622, 538, 4999, 609, 6469, 4890, 3510, 267, 2919, 543, 3812, 966, 303, 3126, 7299, 4756, 12334, 17684, 12511, 6802, 267, 799, 814, 1044, 4922, 4607, 676, 5561, 1310, 1373, 2322, 883, 519, 2344, 269, 966, 7968, 12511, 786, 15666, 547, 519, 2324, 2511, 540, 6024, 6454, 543, 22111, 267, 1683, 3755, 609, 519, 20979, 12511, 1062, 3435, 267, 543, 3035, 519, 3853, 540, 1648, 9494, 267, 12998, 5786, 267, 2825, 4027, 543, 4398, 269, 0, 15812, 3146, 3161, 29627, 2194, 675, 6901, 941, 5645, 856, 538, 17939, 1695, 267, 5101, 17111, 593, 519, 13663, 543, 2083, 926, 12118, 6152, 267, 1323, 641, 515, 956, 2545, 629, 659, 18424, 269, 27842, 540, 3552, 8951, 941, 6825, 609, 1114, 15437, 540, 24638, 23416, 267, 5950, 538, 812, 1532, 320, 1243, 554, 7491, 19034, 609, 14827, 20637, 269, 30027, 748, 10070, 543, 13847, 941, 849, 1500, 538, 3781, 1532, 1746, 29598, 593, 513, 1216, 10889, 14900, 543, 593, 2185, 2367, 269, 2353, 7766, 973, 2194, 999, 941, 1500, 538, 519, 1482, 3510, 538, 799, 519, 19498, 941, 6825, 269, 634, 1482, 1367, 19498, 941, 9575, 24146, 2367, 543, 10889, 14900, 593, 1114, 14026, 543, 519, 2338, 9575, 4951, 513, 2178, 13283, 585, 812, 936, 10889, 14900, 269, 634, 3259, 540, 519, 9065, 760, 3789, 4783, 538, 519, 2361, 729, 1336, 547, 581, 476, 274, 269, 271, 2395, 269, 2991, 1973, 1922, 29623, 593, 812, 538, 513, 554, 583, 267, 1323, 269, 2545, 629, 659, 18424, 941, 1336, 547, 14827, 593, 519, 3781, 610, 2038, 6640, 269, 634, 1482, 1367, 19498, 941, 1336, 16889, 538, 519, 554, 583, 610, 14827, 15972, 593, 1114, 14026, 269, 634, 2164, 5815, 602, 972, 568, 2178, 2963, 585, 519, 6228, 540, 4719, 13260, 538, 519, 12402, 540, 1323, 269, 2545, 629, 659, 18424, 547, 1964, 538, 8075, 543, 547, 11116, 812, 543, 10889, 14900, 269, 634, 6654, 6228, 540, 713, 7613, 568, 2808, 1167, 15758, 585, 519, 16548, 540, 954, 8306, 540, 13663, 10299, 676, 1323, 269, 2545, 629, 659, 18424, 538, 2470, 563, 1607, 1867, 9388, 609, 513, 4651, 543, 1010, 5067, 945, 2919, 8650, 17669, 5821, 1739, 2789, 13520, 588, 902, 269, 634, 17669, 27295, 538, 891, 2550, 5526, 547, 581, 1813, 547, 678, 4725, 3256, 344, 565, 1736, 3361, 676, 519, 13520, 29086, 269, 634, 824, 6127, 616, 849, 5941, 269, 634, 991, 585, 19353, 547, 581, 3222, 540, 8650, 17669, 5821, 607, 513, 28658, 540, 13520, 588, 902, 568, 14129, 563, 12385, 3481, 2725, 17239, 2474, 281, 24538, 645, 2572, 543, 853, 902, 270, 1260, 4124, 20330, 14937, 13733, 630, 8245, 25625, 13160, 264, 616, 1271, 24146, 7786, 543, 10321, 540, 3676, 8069, 540, 3425, 543, 13184, 269, 4935, 267, 1620, 519, 30953, 543, 9265, 540, 891, 7786, 568, 2629, 585, 1852, 543, 2359, 540, 891, 3676, 269, 769, 713, 1353, 267, 649, 1031, 24197, 2166, 1729, 577, 4435, 524, 12444, 848, 594, 9696, 547, 4983, 4719, 4763, 540, 1614, 1480, 1532, 1746, 543, 2009, 6152, 3109, 8038, 26908, 282, 519, 3244, 592, 1756, 607, 752, 334, 2801, 2249, 10687, 14658, 267, 590, 269, 9106, 14075, 328, 543, 590, 269, 562, 580, 5766, 559, 341, 636, 269, 4400, 2157, 540, 4719, 4763, 630, 285, 274, 269, 276, 260, 703, 6652, 24594, 4719, 27754, 264, 941, 1336, 538, 782, 1614, 26908, 269, 623, 17222, 21925, 9382, 8612, 602, 519, 590, 269, 607, 752, 334, 2801, 1950, 666, 581, 5258, 883, 5722, 2516, 609, 519, 4102, 1895, 9967, 540, 15013, 689, 17289, 267, 17111, 543, 27060, 269, 901, 1895, 1034, 2693, 4564, 3020, 590, 269, 607, 752, 334, 2801, 269, 634, 6967, 688, 7120, 4885, 4646, 2516, 609, 931, 24594, 688, 7120, 4885, 610, 609, 824, 5702, 1644, 2249, 269, 7324, 891, 2516, 267, 835, 1519, 590, 269, 544, 784, 5055, 1619, 543, 1776, 1519, 590, 269, 1250, 534, 332, 13873, 572, 2303, 602, 1978, 15013, 4857, 607, 590, 269, 607, 752, 334, 2801, 1034, 2693, 4866, 547, 1346, 2249, 269, 4475, 267, 789, 13822, 1007, 1327, 1275, 5638, 585, 17289, 543, 849, 2099, 1007, 5638, 540, 10236, 2684, 1176, 269, 16840, 540, 590, 269, 9106, 14075, 328, 616, 711, 1395, 4451, 2280, 545, 607, 922, 804, 1228, 849, 3769, 590, 269, 11360, 29800, 269, 589, 11667, 11836, 3060, 7000, 2178, 13664, 12205, 540, 519, 688, 7120, 4885, 540, 590, 269, 562, 580, 5766, 559, 341, 636, 11021, 20159, 540, 5444, 2095, 269, 5221, 713, 2249, 4386, 5631, 538, 1164, 15038, 9249, 267, 1970, 2244, 2127, 1223, 1459, 513, 11064, 547, 5444, 2095, 563, 19860, 29767, 281, 10222, 330, 520, 340, 568, 7768, 540, 12015, 5613, 540, 13100, 704, 562, 580, 5300, 700, 543, 13100, 704, 1427, 19745, 847, 636, 966, 22844, 267, 543, 12015, 29127, 2345, 540, 2098, 532, 9200, 6815, 1400, 324, 681, 269, 4014, 713, 7041, 814, 1044, 1031, 547, 14867, 929, 584, 4345, 267, 1928, 267, 543, 6553, 585, 513, 1279, 942, 267, 972, 568, 1100, 4791, 2963, 547, 6166, 922, 12117, 543, 3106, 269, 4475, 267, 649, 5340, 513, 5595, 15918, 785, 267, 1369, 1268, 268, 12690, 1242, 6417, 1353, 540, 476, 1789, 2635, 13538, 547, 3313, 12117, 543, 3106, 540, 22521, 10222, 330, 520, 340, 593, 18151, 11116, 6547, 563, 300, 24518, 7495, 306, 281, 2353, 5396, 941, 3787, 1084, 676, 589, 26433, 513, 1122, 344, 696, 328, 8047, 19498, 593, 741, 2062, 15767, 543, 789, 941, 14477, 8655, 7916, 547, 4019, 2901, 10222, 330, 520, 340, 610, 4704, 1587, 593, 519, 18151, 11116, 13099, 2544, 269, 634, 1292, 6364, 729, 519, 3017, 540, 13099, 2544, 2450, 5786, 693, 476, 1789, 1295, 267, 6027, 676, 513, 1608, 23803, 267, 1063 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7092, 689, 1945, 267, 855, 621, 3884, 1406, 865, 269, 2755, 2921, 1416, 540, 707, 20169, 4816, 267, 2628, 2027, 3007, 547, 1906, 1919, 607, 24121, 268, 17926, 779, 3956, 454, 268, 7136, 720, 540, 519, 1126, 454, 268, 30839, 519, 4816, 454, 268, 24872, 532, 519, 4816, 454, 268, 5754, 8162, 1227, 7738, 4816, 9660, 454, 268, 2657, 543, 3106, 454, 268, 23213, 16567, 519, 4816, 454, 268, 17926, 2960, 1416, 30304, 454, 3849, 3286, 532, 547, 1272, 609, 1007, 4535, 454, 268, 12414, 519, 15146, 678, 5424, 1055, 950, 596, 1810, 1406, 1616, 547, 5873, 621, 267, 610, 31028, 519, 6049, 952, 621, 3085, 1406, 723, 513, 678, 5424, 6467, 563, 268, 2422, 1957, 10824, 543, 11680, 547, 7413, 2777, 1740, 267, 610, 723, 707, 948, 619, 798, 519, 8286, 269, 901, 568, 711, 519, 942, 547, 6961, 596, 666, 798, 621, 782, 543, 602, 4986, 814, 4957, 563, 268, 10925, 606, 10137, 6049, 538, 707, 4816, 779, 4055, 267, 610, 4163, 513, 10260, 1652, 6049, 1247, 2921, 1416, 540, 707, 1126, 563, 268, 16179, 610, 1118, 513, 968, 2710, 3502, 5940, 7875, 892, 1129, 267, 543, 13793, 621, 593, 707, 4395, 7450, 8164, 269, 2107, 1711, 513, 10531, 1129, 971, 607, 968, 306, 1087, 3333, 256, 17926, 543, 631, 20207, 616, 10163, 532, 28461, 268, 1677, 2057, 16460, 519, 6049, 950, 596, 1810, 1406, 1616, 547, 267, 2594, 519, 3877, 540, 707, 4816, 779, 4332, 593, 707, 15146, 16460, 3684, 610, 5639, 20261, 3028, 269, 1411, 949, 6999, 547, 1039, 519, 1655, 942, 547, 1289, 269, 630, 2791, 1058, 581, 12008, 950, 707, 4816, 568, 8094, 268, 5192, 1489, 689, 2828, 543, 14077, 945, 4076, 1185, 9002, 267, 610, 1831, 3238, 538, 2146, 2385, 2516, 563, 268, 5269, 606, 4674, 547, 1711, 968, 18499, 1152, 892, 942, 1142, 1554, 630, 320, 3735, 12129, 1310, 707, 4816, 4422, 547, 5127, 267, 513, 3802, 1472, 519, 3625, 1247, 513, 3659, 610, 3448, 29167, 707, 4816, 267, 513, 2947, 18826, 15146, 1289, 1282, 519, 1554, 267, 543, 865, 593, 1916, 6124, 9799, 4816, 1416, 1310, 4332, 454, 3412, 9712, 2299, 1310, 519, 4332, 540, 707, 4816, 267, 1101, 5077, 519, 8023, 4274, 543, 1174, 875, 547, 3049, 519, 20169, 269, 26744, 569, 1004, 666, 849, 948, 596, 593, 1018, 547, 1491, 1416, 540, 1247, 20418, 269, 5901, 519, 20169, 2476, 689, 811, 1004, 607, 972, 568, 513, 1981, 540, 3968, 269, 1879, 15700, 513, 20169, 4816, 267, 1118, 2386, 602, 3946, 1058, 581, 2141, 2973, 1317, 519, 4761, 1062, 540, 519, 1762, 1126, 568, 1360, 4617, 269, 670, 13783, 519, 4816, 609, 18660, 3946, 949, 581, 11763, 563, 2710, 711, 1847, 707, 4816, 1932, 2182, 267, 621, 666, 2014, 2634, 11702, 269, 1403, 596, 991, 547, 12687, 519, 4816, 909, 267, 798, 711, 21199, 269, 2755, 12391, 585, 513, 20169, 4816, 267, 3314, 547, 1832, 519, 4816, 2673, 547, 3993, 1317, 4816, 4991, 3002, 689, 519, 3993, 779, 1560, 269, 4438, 1715, 18004, 17926, 5516, 9669, 267, 1832, 538, 2247, 602, 519, 4816, 1058, 711, 581, 10480, 1216, 538, 519, 1101, 476, 277, 3275, 269, 898, 568, 513, 31605, 1851, 1004, 602, 1453, 1745, 19818, 344, 1256, 1310, 20418, 563, 763, 10867, 1058, 581, 10480, 6089, 5144, 1369, 519, 3368, 5662, 540, 4332, 269, 634, 3993, 779, 1101, 5835, 5144, 267, 1572, 897, 739, 5300, 267, 3947, 519, 4816, 519, 1379, 547, 4339, 1082, 3676, 269, 1280, 3670, 3275, 1310, 4332, 267, 3993, 779, 5144, 568, 519, 1152, 1426, 585, 519, 4816, 269, 23213, 325, 539, 9002, 1020, 1134, 585, 519, 1101, 3670, 3275, 269, 1358, 616, 6870, 689, 3968, 269, 769, 1840, 547, 3993, 779, 5144, 267, 1453, 1657, 3670, 3275, 1058, 849, 581, 10480, 5580, 2732, 269, 8056, 2664, 2299, 1310, 4332, 267, 519, 10867, 1058, 581, 2016, 29887, 6646, 2059, 609, 7460, 294, 543, 17537, 6669, 563, 272, 1032, 4816, 1416, 4388, 454, 5472, 29507, 1058, 581, 2527, 3042, 609, 4816, 18552, 3282, 269, 901, 18791, 519, 4816, 779, 6091, 543, 7633, 269, 2755, 2527, 1645, 267, 1832, 538, 2247, 602, 18552, 609, 1769, 3946, 1152, 269, 634, 1101, 1906, 4374, 1310, 519, 4332, 540, 519, 4816, 267, 789, 1058, 581, 1134, 20386, 538, 12308, 269, 4210, 9994, 532, 568, 1572, 28277, 707, 4816, 538, 513, 12308, 269, 4210, 5417, 1782, 2488, 14246, 267, 4027, 543, 4313, 547, 29507, 563, 5575, 540, 782, 267, 3262, 513, 5394, 24621, 543, 16784, 835, 7944, 5594, 20733, 563, 5475, 602, 2482, 519, 4816, 779, 2212, 593, 519, 25649, 851, 269, 3973, 16784, 519, 12308, 593, 1312, 5011, 543, 16833, 519, 1126, 563, 307, 3089, 519, 5377, 12308, 2047, 883, 519, 2786, 1145, 540, 519, 4816, 779, 5023, 676, 24208, 621, 20354, 269, 630, 8450, 3791, 543, 8772, 6337, 994, 8855, 798, 711, 17063, 519, 9660, 1932, 9395, 607, 621, 786, 1118, 621, 2352, 585, 519, 4816, 779, 7953, 547, 12701, 563, 4407, 7234, 827, 1107, 1715, 4535, 17926, 630, 8882, 656, 264, 5516, 1107, 607, 5205, 519, 4332, 540, 513, 4816, 267, 621, 779, 1271, 547, 3314, 602, 3025, 814, 11941, 547, 1118, 269, 1403, 621, 779, 707, 1101, 1126, 267, 596, 3580, 723, 1007, 3652, 547, 2119, 856, 952, 596, 723, 1776, 1453, 267, 982, 12391, 4667, 2370, 2653, 269, 13966, 609, 519, 10761, 543, 11348, 267, 2566, 543, 9854, 849, 5956, 269, 1411, 2461, 19038, 547, 3747, 513, 1390, 4308, 540, 3054, 267, 799, 666, 1491, 922, 17167, 593, 1346, 1472, 596, 269, 6875, 1416, 540, 707, 2123, 2115, 865, 596, 666, 948, 1866, 1491, 1416, 540, 741, 338, 269, 2142, 2523, 1434, 547, 707, 7649, 1282, 713, 942, 267, 543, 2322, 1055, 707, 2462, 3664, 267, 952, 2009, 563, 289, 17879, 1416, 4388, 585, 1007, 31908, 454, 268, 2991, 28876, 267, 9900, 546, 629, 519, 13035, 1858, 609, 513, 2571, 24621, 267, 610, 946, 513, 4552, 3819, 518, 563, 268, 5192, 513, 887, 2041, 602, 16181, 782, 519, 1259, 1524, 519, 4395, 269, 898, 3580, 581, 4443, 547, 1205, 538, 547, 543, 856, 540, 982, 835, 602, 10741, 1152, 851, 1259, 1524, 563, 268, 13363, 707, 1651, 1707, 1247, 8808, 676, 8380, 513, 2834, 10788, 578, 610, 513, 595, 11057, 10788, 578, 538, 707, 22272, 267, 610, 676, 8380, 707, 6186, 18284, 707, 4816, 543, 8066, 4816, 779, 2212, 693, 707, 6089, 563, 268, 13773, 538, 5127, 607, 1454, 607, 596, 666, 269, 5901, 707, 4816, 538, 513, 18369, 6839, 610, 524, 1026, 2282, 707, 5127, 267, 543, 1832, 513, 1434, 3761, 540, 1019, 3639, 543, 4816, 9660, 7404, 563, 268, 8347, 1818, 513, 1404, 4050, 540, 707, 5127, 952, 596, 1590, 1416, 585, 513, 22525, 267, 1932, 269, 5901, 7899, 540, 9162, 543, 2835, 1369, 3914, 563, 6781, 12645, 1928, 543, 2182, 7181, 1310, 595, 16687, 454, 268, 5213, 1406, 12511, 585, 513, 7008, 540, 3275, 269, 634, 5322, 3238, 616, 2182, 593, 14159, 6091, 269, 630, 2005, 779, 513, 1434, 2816, 585, 513, 4651, 267, 7649, 610, 824, 1920, 4759, 8094, 268, 3509, 11299, 3409, 602, 4224, 532, 538, 513, 11381, 606, 5662, 811, 1142, 1554, 17212, 1407, 14159, 9636, 543, 15499, 3154, 563, 268, 3680, 19755, 1524, 950, 19703, 610, 4657, 707, 4816, 269, 2422, 606, 11506, 4657, 3349, 3079, 540, 513, 5127, 610, 824, 2539, 2627, 563, 268, 2422, 707, 3723, 607, 513, 11573, 547, 6318, 707, 22525, 1055, 519, 6989, 950, 596, 2461, 538, 513, 11381, 610, 5127, 267, 3079, 540, 1565, 1524, 547, 4584, 707, 1126, 909, 563, 268, 3680, 8066, 707, 4816, 538, 835, 6186, 1247, 3257, 1919, 1472, 519, 2777, 267, 2394, 707, 6091, 616, 6793, 952, 707, 4816, 568, 535, 1380, 344, 543, 6499, 3007, 267, 2015, 513, 7344, 4816, 18711, 563, 8070, 23196, 1072, 2069, 585, 11299, 454, 268, 5192, 513, 887, 2041, 602, 16181, 782, 519, 1259, 1524, 4395, 269, 898, 3580, 581, 4443, 547, 1205, 538, 547, 543, 856, 540, 982, 835, 602, 10741, 1152, 851, 1259, 1524, 519, 4395, 269, 898, 3580, 581, 4443, 547, 1205, 538, 547, 543, 856, 540, 982, 835, 602, 10741, 1152, 851, 1259, 1524, 563, 268, 23203, 6899, 267, 8825, 896, 18875, 547, 1832, 6336, 7802, 689, 27012, 1996, 707, 1651, 1707, 267, 8259, 10690, 7802, 4805, 568, 711, 8886, 908, 563, 268, 2991, 28876, 267, 9900, 546, 629, 519, 13035, 1858, 609, 513, 2571, 24621, 267, 610, 946, 513, 4552, 3819, 518, 563, 268, 13363, 707, 1651, 1707, 1247, 8808, 676, 8380, 513, 2834, 10788, 578, 610, 513, 595, 11057, 10788, 578, 538, 707, 22272, 267, 610, 676, 8380, 707, 6186, 18284, 707, 4816, 543, 8066, 1200, 2212, 693, 707, 6089, 563, 268, 2119, 1818, 513, 1404, 5155, 540, 707, 5127, 952, 596, 1590, 1416, 585, 513, 22525, 267, 1932, 269, 5901, 7899, 540, 9162, 543, 2835, 1369, 3914, 563, 7659, 5320, 1107, 1007, 4535, 4816, 1416, 267, 20169, 4816, 1416, 476, 272, 560, 3923, 267, 20169, 4816, 1416, 1310, 4332, 267, 20169, 1416, 267, 20169, 1416, 1310, 6765, 267, 20169, 10260, 1416, 267, 20169, 16813, 559, 673, 10260, 267, 20169, 16813, 559, 673, 10260, 1416, 267, 533, 2086, 619, 14167, 1416, 20169, 267, 2921, 1416, 540, 513, 20169, 454, 293, 1168, 2081, 547, 1118, 707, 1126, 1745, 6068, 543, 12595, 454, 29261, 945, 1616, 741, 1453, 547, 1020, 1164, 1582, 12635, 1118, 513, 1448, 540, 8156, 873, 609, 2463, 543, 21806, 269, 1358, 1810, 1406, 15395, 968, 921, 848, 2223, 11289, 596, 2223, 543, 968, 296, 6557, 20994, 892, 585, 4079, 269, 1358, 1810, 1406, 1517, 8636, 1782, 741, 1453, 267, 543, 789, 2953, 610, 19439, 873, 950, 789, 666, 267, 547, 948, 741, 3214, 4688, 3068, 269, 1656, 789, 5796, 267, 968, 10673, 1406, 1491, 621, 782, 1932, 12517, 269, 3143, 2582, 10071, 786, 3337, 707, 1126, 779, 1915, 28461, 19102, 2084, 1453, 1419, 723, 513, 7096, 3310, 593, 8613, 543, 9413, 267, 713, 2085, 568, 971, 269, 1358, 786, 723, 547, 29311, 602, 6306, 689, 519, 6587, 3023, 267, 849, 3237, 267, 7015, 543, 11078, 269, 1358, 723, 547, 2491, 609, 2648, 621, 779, 14178, 538, 519, 3395, 2085, 568, 1152, 2168, 16007, 267, 711, 11972, 15754, 563, 1607, 568, 1141, 519, 1483, 20932, 543, 21047, 1063, 519, 1079, 2253, 269, 1403, 596, 666, 711, 2491, 707, 1448, 547, 519, 1126, 5265, 543, 596, 616, 23578, 547, 519, 3652, 267, 1287, 972, 666, 581, 8373, 269, 2311, 713, 2085, 1453, 1616, 547, 2661, 676, 741, 1378, 786, 543, 789, 666, 711, 20496, 15366, 1852, 563, 3528, 1546, 539, 540, 6655, 766, 454, 268, 5901, 513, 4881, 1592, 593, 519, 21067, 7450, 540, 2318, 1919, 707, 1126, 814, 2944, 602, 1554, 269, 3367, 519, 1592, 693, 21557, 547, 948, 707, 1126, 1745, 1434, 827, 9887, 1354, 2469, 547, 3207, 563, 268, 9523, 4816, 2594, 2835, 543, 8666, 11549, 4548, 609, 707, 4587, 1453, 267, 865, 789, 2972, 741, 2208, 543, 1646, 563, 268, 2913, 707, 3214, 7038, 596, 609, 4249, 789, 1118, 909, 269, 12315, 873, 11308, 610, 11544, 10726, 619, 547, 946, 607, 2890, 10746, 2223, 663, 5965, 547, 804, 777, 513, 2603, 607, 789, 8423, 621, 909, 2336, 268, 8073, 606, 12705, 256, 12338, 1472, 707, 1126, 779, 1688, 538, 23739, 14859, 547, 1118, 1688, 2745, 12897, 267, 610, 1118, 513, 1804, 4605, 676, 16439, 606, 7291, 540, 707, 1126, 779, 1560, 593, 1957, 610, 21312, 543, 1287, 5969, 621, 856, 563, 268, 5901, 513, 968, 321, 17879, 892, 2721, 518, 610, 4216, 585, 2895, 1516, 23278, 4925, 543, 8952, 1389, 689, 707, 1126, 779, 1272, 269, 5410, 547, 621, 607, 1419, 607, 596, 899, 267, 1519, 519, 4484, 596, 5206, 547, 707, 796, 9799, 1126, 1247, 596, 941, 9176, 269, 634, 2721, 518, 610, 4216, 949, 849, 4196, 607, 513, 1747, 547, 4558, 707, 1126, 779, 607, 1352, 9428, 4587, 269, 24613, 998, 519, 4216, 2899, 610, 7466, 513, 1032, 786, 581, 1187, 585, 782, 2336, 268, 5901, 513, 4745, 19701, 609, 707, 1126, 269, 5620, 1200, 3565, 547, 519, 1543, 543, 1683, 12383, 16382, 1352, 15055, 269, 15147, 519, 3817, 609, 2312, 3346, 1957, 547, 8190, 873, 269, 12769, 31531, 1224, 513, 2985, 610, 1079, 547, 707, 1126, 693, 21557, 563, 268, 570, 1901, 29627, 867, 707, 1126, 779, 5639, 1247, 1352, 779, 13465, 267, 973, 1746, 267, 610, 2921, 609, 596, 269, 7591, 512, 1394, 585, 707, 1126, 267, 11589, 707, 10508, 693, 1200, 11913, 1983, 563, 21430, 1453 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1185, 2799, 3648, 538, 2487, 1296, 1813, 547, 8738, 330, 2088, 674, 553, 334, 779, 15028, 1870, 2916, 543, 16133, 547, 2101, 6990, 971, 607, 13280, 543, 595, 1774, 546, 685, 296, 17383, 790, 269, 21094, 849, 5129, 513, 2101, 1909, 538, 6117, 2804, 2208, 1813, 547, 922, 10875, 8916, 267, 7524, 2528, 267, 543, 11606, 540, 18845, 971, 607, 9835, 17018, 4302, 540, 7585, 334, 5937, 328, 9567, 27591, 543, 654, 2817, 5244, 269, 744, 340, 698, 611, 537, 326, 537, 1185, 1831, 835, 540, 519, 1034, 1271, 4872, 538, 4639, 4000, 693, 713, 942, 543, 1185, 13631, 1082, 3486, 4213, 3168, 585, 513, 3490, 540, 4238, 1369, 519, 3148, 563, 289, 24642, 2088, 674, 553, 334, 269, 769, 5239, 267, 12964, 1004, 941, 18486, 15034, 540, 4058, 513, 19420, 269, 7324, 519, 18486, 941, 1079, 7952, 3061, 1622, 269, 1160, 5913, 12460, 19869, 9567, 599, 324, 31550, 1767, 519, 31268, 1131, 581, 4547, 547, 4693, 538, 513, 4108, 5480, 269, 4340, 547, 31550, 267, 519, 931, 2869, 2209, 1185, 4607, 2883, 1489, 689, 1776, 2197, 543, 941, 7996, 585, 9604, 689, 972, 950, 519, 4566, 941, 7000, 269, 634, 21991, 12460, 1705, 711, 1616, 547, 2161, 799, 2197, 646, 729, 13288, 547, 267, 855, 8738, 330, 2088, 674, 553, 334, 779, 4296, 609, 15231, 594, 341, 800, 11076, 723, 1044, 1360, 13029, 585, 930, 942, 563, 6097, 547, 13474, 320, 1695, 2593, 267, 8738, 330, 2088, 674, 553, 334, 14412, 4303, 568, 4864, 476, 276, 269, 594, 341, 800, 11076, 5518, 19846, 660, 717, 321, 698, 2692, 814, 15034, 8738, 330, 2088, 674, 553, 334, 540, 5885, 519, 30280, 945, 6836, 547, 24057, 992, 1864, 269, 2201, 5147, 476, 275, 267, 2705, 267, 519, 594, 341, 800, 11076, 4108, 543, 30280, 10294, 602, 519, 3540, 2112, 729, 936, 269, 769, 5181, 267, 519, 8473, 1063, 519, 1079, 15231, 2477, 729, 8118, 1310, 1373, 6806, 585, 3592, 513, 1032, 1317, 540, 519, 2112, 269, 594, 341, 800, 11076, 4708, 729, 17866, 267, 855, 519, 8128, 16219, 547, 10018, 519, 3106, 543, 1863, 3350, 540, 1004, 543, 5370, 2066, 519, 8473, 269, 7457, 547, 519, 15231, 2197, 1797, 513, 2603, 547, 8738, 330, 2088, 674, 553, 334, 267, 799, 814, 1100, 5032, 269, 13405, 547, 519, 6406, 2782, 267, 827, 476, 12573, 267, 1822, 8738, 7219, 2103, 5249, 538, 594, 341, 800, 11076, 267, 1034, 540, 873, 593, 23342, 543, 6995, 24914, 269, 3509, 849, 4096, 593, 3444, 31215, 4123, 563, 763, 2229, 12153, 513, 1533, 540, 6595, 1310, 5230, 11811, 454, 12041, 885, 616, 3045, 23395, 513, 1533, 540, 6595, 1310, 476, 1724, 1004, 5747, 538, 4276, 609, 8731, 1370, 658, 22856, 602, 3361, 4049, 17160, 269, 5518, 681, 5255, 16205, 4168, 918, 1987, 2946, 3045, 25555, 602, 519, 2229, 814, 1274, 5658, 539, 2724, 547, 4217, 519, 9601, 563, 297, 8811, 611, 626, 6285, 5734, 4154, 5599, 2182, 454, 297, 8811, 611, 1235, 723, 1044, 2111, 547, 7118, 827, 1269, 476, 9610, 2929, 676, 22215, 519, 2197, 779, 4154, 15183, 267, 2687, 547, 513, 1867, 20827, 676, 519, 2229, 269, 4256, 6285, 723, 849, 3366, 547, 3573, 3959, 3441, 543, 2799, 3354, 3790, 630, 1492, 3902, 11090, 568, 1305, 538, 519, 1867, 693, 936, 1269, 476, 272, 5479, 1040, 2311, 519, 1482, 942, 267, 10868, 689, 519, 4154, 15183, 814, 3622, 1831, 5051, 1271, 585, 519, 2197, 779, 4346, 543, 538, 476, 1001, 279, 729, 6059, 547, 2272, 585, 1175, 936, 476, 1556, 2600, 540, 12654, 563, 307, 965, 11685, 585, 918, 1987, 2946, 538, 713, 15489, 779, 16232, 9550, 454, 2005, 568, 1631, 4098, 547, 581, 2312, 945, 519, 10457, 786, 581, 538, 519, 16232, 9550, 593, 476, 2420, 5437, 269, 634, 15194, 12463, 303, 786, 581, 6719, 676, 519, 1651, 3518, 550, 7022, 543, 681, 5255, 16205, 4168, 918, 1987, 2946, 269, 8178, 832, 1448, 856, 602, 646, 786, 3068, 1256, 27162, 615, 6735, 538, 713, 1032, 779, 9550, 982, 646, 1705, 538, 476, 1001, 276, 267, 543, 952, 972, 568, 513, 2034, 5180, 540, 12836, 267, 1896, 824, 10457, 723, 9896, 513, 533, 716, 547, 1489, 1142, 824, 538, 621, 630, 5408, 4864, 476, 1708, 271, 1040, 7324, 519, 10457, 568, 519, 11685, 5428, 772, 15425, 6205, 2098, 2946, 874, 597, 514, 4144, 629, 28584, 267, 1247, 519, 7131, 303, 814, 6074, 3798, 23135, 918, 558, 2692, 25771, 2998, 267, 945, 729, 2673, 547, 522, 755, 539, 7022, 2349, 320, 1047, 3281, 320, 528, 2946, 269, 634, 8545, 267, 2705, 267, 568, 11786, 267, 1256, 1369, 1010, 1378, 5428, 269, 4813, 518, 11788, 10579, 918, 7310, 2946, 667, 15530, 597, 2946, 744, 340, 2946, 323, 571, 690, 334, 267, 849, 1634, 607, 918, 5964, 267, 568, 1776, 22267, 609, 13218, 547, 3281, 320, 528, 2946, 945, 786, 1631, 1796, 585, 3397, 597, 2037, 14517, 267, 513, 1007, 5428, 4646, 607, 3735, 607, 476, 1001, 280, 269, 4813, 518, 14579, 10579, 2806, 20199, 2946, 744, 340, 2946, 323, 571, 690, 334, 267, 519, 1347, 29487, 5449, 10579, 540, 9177, 570, 1695, 597, 537, 31550, 543, 5449, 11788, 10579, 962, 659, 537, 9346, 21469, 2098, 5866, 849, 30242, 547, 2196, 269, 1717, 267, 519, 12139, 4000, 4762, 7808, 4967, 602, 621, 568, 2693, 547, 581, 2352, 547, 3180, 519, 16232, 9550, 267, 543, 519, 25931, 9550, 4371, 593, 519, 1482, 1554, 267, 538, 519, 30223, 2694, 540, 519, 2197, 563, 289, 24642, 2088, 674, 553, 334, 16684, 6651, 454, 6097, 547, 2806, 12934, 2747, 293, 5407, 267, 8738, 330, 2088, 674, 553, 334, 630, 845, 28861, 16592, 5292, 3279, 264, 568, 513, 2244, 6674, 539, 2197, 538, 4639, 4000, 269, 4706, 12543, 616, 594, 341, 800, 11076, 267, 5689, 328, 267, 20997, 267, 5484, 514, 267, 570, 690, 334, 543, 19168, 269, 968, 289, 24642, 2088, 674, 553, 334, 892, 538, 519, 2199, 5651, 2946, 543, 4144, 537, 5055, 4654, 1797, 968, 1492, 2244, 540, 22510, 1004, 1848, 8738, 330, 2088, 674, 553, 334, 3893, 922, 1699, 2012, 593, 4864, 476, 275, 267, 476, 2735, 275, 267, 19497, 519, 1533, 729, 1572, 16592, 5292, 3279, 269, 4653, 267, 519, 2197, 568, 849, 1634, 607, 8738, 330, 2088, 269, 0, 1432, 568, 1974, 2632, 4345, 454, 21618, 540, 1974, 2632, 4345, 1331, 11702, 543, 973, 5338, 14779, 543, 3983, 7362, 269, 769, 519, 4359, 3942, 267, 519, 4522, 530, 984, 1076, 543, 3138, 4923, 269, 634, 3803, 3942, 568, 519, 2530, 540, 4522, 269, 9521, 31470, 26628, 267, 1974, 2632, 4345, 3123, 8628, 3441, 269, 8307, 538, 930, 1447, 3978, 2665, 568, 621, 2009, 547, 16956, 4733, 513, 7745, 30301, 563, 20540, 2632, 4345, 4386, 5631, 538, 1647, 27070, 543, 4587, 1004, 269, 901, 2783, 568, 909, 547, 476, 3583, 260, 811, 2693, 585, 21596, 982, 1875, 23337, 758, 619, 269, 769, 1840, 267, 7296, 6971, 519, 1560, 779, 1219, 1878, 1996, 4551, 563, 305, 529, 802, 2404, 609, 1974, 2632, 4345, 454, 20540, 2632, 4345, 568, 606, 1202, 573, 1190, 2068, 538, 602, 519, 4299, 1268, 949, 711, 585, 513, 1360, 1279, 942, 267, 3006, 1896, 1296, 267, 7747, 1022, 2589, 269, 769, 1840, 267, 519, 8594, 568, 711, 1152, 5959, 269, 18127, 1974, 2632, 4345, 666, 581, 835, 540, 519, 3123, 540, 824, 3978, 3676, 267, 607, 621, 666, 1831, 513, 2707, 540, 5563, 543, 6553, 2429, 519, 1480, 1560, 269, 1323, 7681, 1063, 1974, 2632, 4345, 543, 606, 2799, 11841, 540, 2295, 2068, 543, 8482, 814, 1044, 9863, 563, 4913, 267, 621, 568, 1271, 547, 11168, 602, 1697, 2126, 543, 5812, 5959, 9882, 666, 2087, 10733, 1072, 693, 1022, 3942, 540, 1974, 2632, 4345, 267, 3976, 7303, 519, 2068, 689, 3356, 532, 547, 513, 811, 4359, 3942, 267, 799, 666, 1267, 538, 5694, 2530, 563, 1692, 1974, 2632, 1670, 1416, 3217, 1747, 454, 763, 4493, 540, 27731, 1416, 568, 5959, 9882, 269, 2290, 540, 938, 4810, 5959, 31978, 1235, 786, 4894, 15799, 543, 25188, 541, 269, 634, 1267, 568, 1287, 31570, 609, 519, 1974, 2632, 626, 631, 308, 7804, 269, 25562, 385, 503, 2088, 3244, 12121, 267, 945, 27786, 543, 11974, 519, 1121, 2153, 540, 1974, 2632, 4345, 563, 763, 1985, 5123, 540, 2126, 568, 7463, 1416, 676, 513, 1974, 2632, 626, 269, 13689, 593, 519, 10335, 540, 519, 1966, 649, 4019, 519, 3617, 2126, 269, 634, 2126, 666, 581, 15061, 267, 10551, 610, 666, 1491, 519, 1106, 540, 267, 585, 1383, 267, 2584, 17871, 3797, 269, 634, 3742, 5123, 540, 2126, 568, 4553, 676, 2834, 2638, 13522, 676, 513, 27731, 11285, 827, 2185, 2053, 513, 1032, 563, 2791, 666, 1289, 721, 267, 6494, 606, 590, 5960, 267, 6494, 606, 552, 17733, 267, 610, 596, 666, 6445, 856, 519, 3346, 1106, 269, 1284, 786, 1205, 1394, 547, 596, 269, 0, 1729, 16833, 543, 13021, 630, 320, 1433, 267, 513, 1426, 1587, 267, 3092, 4700, 538, 513, 8465, 4670, 540, 5068, 602, 267, 950, 6534, 547, 513, 8022, 1184, 267, 695, 337, 3855, 547, 519, 26048, 540, 519, 25584, 563, 1492, 5068, 4670, 1031, 547, 16756, 2914, 1905, 1945, 563, 268, 4746, 16756, 342, 1905, 267, 16756, 1790, 871, 267, 16756, 6440, 17569, 1496, 3333, 2590, 330, 1790, 752, 4940, 1315, 16659, 390, 481, 337, 22688, 385, 489, 330, 391, 490, 335, 19508, 330, 270, 563, 291, 5315, 2593, 1133, 30457, 9122, 593, 519, 15932, 5600, 1133, 30457, 9218, 267, 9736, 15932, 5600, 267, 5549, 269, 476, 1708, 274, 454, 23873, 9218, 8847, 585, 16756, 2914, 1905, 454, 6025, 337, 264, 547, 10189, 630, 320, 1587, 264, 538, 513, 8465, 5068, 28277, 2966, 547, 16756, 827, 922, 32725, 547, 2149, 543, 13021, 621, 454, 31890, 2296, 9218, 910, 13159, 1299, 1133, 30457, 476, 1001, 273, 7913, 9990, 9736, 5261, 19811, 25860, 1299, 3213, 269, 13456, 269, 476, 3192, 280, 267, 476, 2735, 277, 9736, 22489, 31890, 23255, 476, 1960, 279, 267, 476, 1220, 271, 267, 476, 1220, 274, 267, 476, 1220, 276, 267, 476, 1220, 277, 267, 476, 1220, 278, 267, 476, 1220, 280, 267, 476, 1001, 273, 0, 13233, 3143, 601, 4303, 267, 4767, 12422, 593, 5181, 476, 1691, 267, 568, 513, 2027, 8317, 602, 2369, 2478, 267, 4378, 2293, 267, 22842, 267, 543, 31438, 519, 1929, 601, 697, 593, 3025, 538, 519, 1158, 609, 519, 2012, 3143, 601, 269, 1215, 1082, 2043, 538, 519, 2136, 2276, 616, 3957, 3143, 601, 286, 4340, 547, 7194, 267, 972, 941, 936, 476, 3583, 280, 4816, 9038, 3957, 3143, 601, 538, 519, 2136, 2276, 538, 519, 1032, 476, 1708, 271, 269, 8786, 267, 3143, 601, 568, 1851, 519, 1034, 1455, 4408, 538, 519, 2136, 2276, 269, 4935, 267, 1018, 1281, 519, 2012, 3143, 601, 1611, 286, 21518, 972, 1022, 13840, 1713, 2043, 609, 519, 2012, 286, 15566, 2542, 547, 1265, 856, 811, 563, 763, 4282, 540, 2817, 3143, 601, 4303, 454, 763, 5169, 540, 519, 1395, 32304, 2048, 5591, 601, 685, 7389, 1394, 547, 3504, 2053, 269, 634, 2012, 2048, 5591, 601, 685, 24283, 689, 519, 2025, 3943, 2262, 2048, 3534, 601, 16224, 799, 1797, 2048, 1993, 610, 4535, 593, 8285, 10200, 634, 13400, 5169, 540, 519, 2012, 3143, 601, 568, 519, 4332, 540, 4906, 267, 799, 729, 5219, 547, 607, 2048, 323, 625, 562, 7614, 529, 685, 610, 2048, 1485, 540, 4332, 10200, 13536, 267, 713, 2012, 7960, 543, 7153, 538, 5664, 2296, 607, 2048, 3086, 601, 10200, 4595, 519, 5664, 12698, 267, 12256, 4535, 1282, 519, 8285, 4005, 723, 12926, 1044, 2016, 519, 2012, 3143, 601, 563, 7628, 519, 476, 1321, 628, 2540, 267, 519, 2012, 2048, 5591, 601, 685, 729, 1031, 607, 1312, 513, 2016, 2012, 543, 513, 21519, 269, 769, 519, 476, 1240, 628, 2540, 267, 519, 813, 749, 566, 1185, 1831, 3964, 1310, 5553, 540, 946, 269, 769, 519, 13524, 2540, 267, 519, 2012, 779, 8560, 3459, 547, 4473, 267, 543, 2221, 267, 3143, 601, 568, 9833, 676, 1082, 3237, 607, 513, 3636, 267, 10427, 267, 2943, 3551, 2012, 563, 5591, 601, 568, 513, 2442, 2012, 2016, 547, 9038, 269, 16480, 267, 519, 21522, 1106, 540, 519, 2012, 568, 849, 4122, 1655, 15735, 547, 8951, 269, 26597, 7648, 540, 519, 2012, 3143, 601, 2291, 269, 3143, 6130, 267, 3143, 749, 267, 3143, 599, 331, 267, 715, 3326, 320, 580, 267, 3767, 601, 267, 3767, 749, 267, 14844, 1446, 267, 543, 3143, 1446, 616, 1806, 269, 715, 1695, 531, 267, 715, 14900, 267, 3026, 531, 267, 29484, 267, 3026, 7637, 267, 715 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 19026, 267, 1519, 519, 9642, 885, 538, 922, 2916, 267, 5790, 267, 543, 2627, 563, 273, 264, 11512, 930, 540, 519, 10486, 543, 3604, 1063, 3047, 543, 19026, 543, 2491, 1946, 713, 4541, 729, 2899, 2808, 513, 834, 338, 3563, 4541, 257, 547, 3047, 563, 274, 264, 9181, 19026, 262, 2189, 1747, 538, 519, 7242, 3098, 540, 3504, 4529, 1472, 519, 1158, 267, 607, 1134, 607, 922, 2189, 17568, 538, 519, 3781, 6607, 607, 2938, 689, 3047, 563, 1607, 3296, 3568, 476, 3607, 277, 1913, 454, 26140, 269, 476, 273, 3817, 693, 476, 4968, 1913, 829, 2985, 264, 0, 10666, 713, 1433, 454, 1103, 513, 2147, 1259, 547, 1010, 3105, 2140, 267, 834, 288, 6651, 1677, 634, 6153, 5020, 2580, 7054, 341, 710, 2899, 1586, 14405, 593, 853, 18757, 6138, 547, 2491, 1946, 649, 29405, 1142, 824, 267, 1946, 1202, 6699, 2014, 721, 971, 1928, 267, 875, 649, 666, 2061, 610, 24390, 713, 1928, 267, 543, 1034, 11932, 267, 875, 649, 666, 7753, 938, 31007, 547, 29405, 1866, 269, 26758, 585, 782, 2489, 3988, 609, 606, 1719, 538, 519, 1888, 267, 607, 1134, 607, 6138, 543, 6530, 1053, 563, 1103, 589, 6215, 777, 538, 519, 8131, 267, 5261, 7054, 341, 710, 9333, 1389, 513, 2647, 8573, 4474, 7634, 540, 1202, 6699, 267, 741, 1686, 267, 519, 1909, 789, 1404, 538, 1514, 3347, 267, 543, 519, 2257, 3297, 873, 563, 347, 23682, 5112, 2160, 4964, 347 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 8080, 547, 519, 4241, 1158, 540, 8629, 14114, 686, 5034, 18482, 21290, 256, 901, 1523, 1522, 3280, 7294, 693, 1101, 267, 855, 1810, 1405, 5855, 910, 594, 3513, 2736, 621, 1524, 883, 2653, 3562, 268, 16187, 2694, 1210, 11541, 1806, 269, 1635, 519, 1439, 540, 713, 3296, 267, 596, 3513, 1831, 513, 21738, 1239, 9781, 4274, 2439, 5331, 596, 2811, 4730, 707, 5172, 3381, 3014, 269, 2659, 1915, 814, 1585, 10305, 971, 607, 2012, 267, 1072, 2798, 267, 4222, 267, 543, 11891, 3688, 269, 3962, 1826, 540, 10546, 20599, 538, 519, 3014, 849, 8843, 1455, 2934, 267, 899, 5734, 2798, 267, 4323, 1379, 267, 543, 3432, 269, 3767, 267, 1589, 827, 2870, 513, 6538, 1141, 1142, 13442, 543, 6221, 666, 581, 6740, 609, 922, 2189, 1344, 1247, 1869, 4687, 1808, 7592, 1851, 2147, 3615, 269, 2334, 781, 1018, 1843, 15129, 6538, 9781, 568, 782, 827, 2439, 4131, 781, 4685, 4514, 883, 1620, 519, 1883, 2035, 1384, 1262, 30606, 338, 4995, 3807, 899, 3197, 543, 14763, 538, 3756, 267, 1483, 3734, 1919, 1472, 721, 666, 581, 6719, 607, 1412, 15953, 338, 8339, 1280, 1383, 267, 1577, 781, 1491, 2835, 689, 513, 5399, 269, 5272, 1433, 814, 930, 3601, 899, 2140, 267, 2278, 267, 8313, 1032, 267, 9135, 267, 3092, 1421, 799, 4766, 621, 19918, 269, 1452, 3601, 1118, 909, 519, 1533, 540, 519, 1843, 780, 1262, 12218, 525, 4995, 1879, 2789, 3615, 2671, 1455, 4162, 267, 789, 4866, 547, 513, 2582, 1362, 269, 4635, 938, 3105, 1383, 267, 4952, 2348, 1896, 5049, 1759, 593, 11964, 1107, 5708, 267, 15923, 267, 9814, 267, 14810, 267, 12092, 267, 3092, 269, 2353, 891, 5049, 1895, 1927, 1367, 2835, 609, 741, 9757, 10643, 267, 4589, 267, 543, 824, 3877, 780, 1262, 1103, 615, 13330, 4995, 6884, 267, 1978, 29162, 1369, 513, 1362, 949, 991, 3606, 2189, 3601, 269, 1280, 3236, 267, 2182, 16225, 2835, 1223, 1106, 835, 15410, 8506, 11098, 267, 2597, 267, 543, 1570, 1344, 267, 6466, 1957, 10587, 1522, 2154, 2985, 1293, 3079, 540, 11098, 269, 3414, 18472, 267, 891, 7463, 29162, 666, 10536, 519, 2489, 3601, 689, 741, 2385, 1362, 630, 9248, 1070, 7132, 1022, 3063, 3601, 12600, 547, 873, 780, 1262, 21886, 2355, 1637, 4995, 5994, 5329, 707, 2123, 19701, 19526, 865, 1866, 3112, 1224, 621, 1256, 952, 789, 1265, 621, 18417, 269, 7402, 2355, 1637, 1568, 13974, 282, 621, 2337, 1832, 6213, 4835, 3334, 6456, 2476, 18172, 267, 20392, 1152, 2556, 3252, 608, 27238, 780, 3086, 2322, 3388, 1927, 281, 1284, 1711, 606, 1843, 15129, 6538, 2203, 676, 10747, 5049, 267, 10503, 741, 3838, 543, 3982, 2934, 267, 12180, 1644, 3615, 998, 18472, 267, 543, 17516, 1271, 3344, 3842, 20206, 1637, 269, 898, 2306, 5883, 1950, 1239, 3889, 1454, 811, 19242, 543, 3608, 780, 2026, 2029, 8441, 267, 12240, 1404, 2629, 5107, 538, 1082, 4610, 267, 1519, 11080, 267, 1514, 2923, 5867, 267, 2228, 10918, 4609, 267, 543, 9118, 3156, 5935, 938, 3232, 2729, 269, 4197, 1843, 15129, 6538, 9781, 5036, 596, 6306, 607, 513, 8049, 15226, 4712, 547, 2263, 519, 5318, 7122, 540, 2780, 2257, 543, 1239, 9781, 269, 8414, 3695, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 28494, 1399, 548, 540, 17726, 4329, 3268, 454, 4407, 649, 723, 3803, 1242, 519, 1374, 543, 1646, 540, 519, 21011, 4083, 585, 2201, 30448, 717, 636, 13630, 267, 938, 2027, 3659, 27050, 667, 12447, 267, 543, 1034, 1761, 268, 11430, 585, 721, 267, 607, 519, 3760, 540, 519, 1775, 256, 2608, 795, 256, 2608, 737, 256, 3126, 267, 543, 585, 2417, 3631, 607, 1134, 267, 649, 2219, 2221, 602, 621, 1131, 581, 1152, 3702, 550, 547, 6430, 543, 14773, 519, 1739, 281, 634, 21011, 17726, 7232, 2501, 1394, 609, 26192, 569, 11272, 543, 849, 1715, 6052, 270, 20812, 8455, 5397, 10177, 1231, 563, 4467, 618, 540, 519, 4303, 454, 5475, 621, 729, 711, 1500, 11613, 2312, 875, 519, 1985, 2203, 540, 519, 2290, 700, 2194, 641, 829, 4132, 630, 5357, 15425, 264, 1788, 267, 519, 2473, 302, 268, 275, 267, 786, 1413, 899, 267, 519, 1079, 1114, 8747, 540, 621, 616, 3254, 1631, 593, 519, 1644, 2546, 602, 3081, 538, 519, 20487, 281, 834, 3519, 14808, 4851, 281, 22417, 1043, 15291, 609, 9187, 7627, 267, 31181, 4573, 328, 2389, 13224, 13087, 4159, 2668, 1924, 538, 1249, 267, 519, 4528, 2473, 302, 268, 275, 25291, 568, 8197, 519, 834, 8368, 339, 8950, 22417, 1043, 2290, 700, 2194, 641, 829, 4132, 630, 5357, 15425, 264, 2473, 302, 268, 272, 257, 607, 3254, 676, 721, 538, 519, 22731, 5288, 269, 6184, 17508, 540, 519, 476, 278, 628, 540, 5130, 476, 1001, 271, 6029, 3457, 609, 3059, 4050, 23995, 2643, 639, 606, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 30606, 14114, 686, 5034, 18482, 21290, 257, 607, 851, 540, 834, 28035, 1315, 4578, 3163, 1315, 4578, 21290, 1299, 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, 8080, 547, 938, 4241, 3460, 883, 519, 1158, 540, 4654, 267, 4529, 267, 543, 10764, 256, 4653, 267, 649, 2811, 2469, 547, 2263, 1945, 2189, 1572, 834, 16978, 5766, 553, 21969, 1457, 28037, 9047, 1701, 5213, 1405, 5855, 282, 972, 4465, 1405, 581, 1022, 4890, 13841, 3238, 256, 5502, 267, 713, 2165, 4564, 875, 1114, 2609, 2097, 1927, 547, 1711, 513, 9159, 1650, 1107, 1175, 899, 9256, 1585, 8407, 538, 13841, 5932, 513, 2178, 6125, 269, 1924, 1577, 781, 4685, 1318, 538, 2439, 5331, 596, 723, 513, 2462, 4216, 2407, 540, 2984, 689, 1472, 519, 8608, 269, 3962, 1650, 814, 922, 4259, 630, 935, 3667, 1070, 4365, 630, 30873, 1070, 2962, 10207, 630, 704, 18504, 1070, 543, 3197, 945, 1628, 3347, 630, 28265, 518, 264, 1369, 602, 9661, 269, 2334, 781, 1018, 649, 1289, 834, 27463, 2084, 8658, 257, 538, 5082, 5766, 553, 21969, 1457, 28037, 9047, 269, 8528, 3086, 267, 1589, 827, 707, 5172, 1433, 610, 7260, 910, 1281, 621, 1491, 1747, 538, 513, 1808, 4087, 286, 12344, 621, 781, 1305, 538, 513, 14297, 2749, 267, 513, 9602, 24781, 267, 610, 1256, 513, 9589, 14810, 2244, 269, 901, 4259, 2337, 1711, 519, 5790, 540, 519, 1650, 269, 6684, 267, 519, 2916, 666, 1860, 519, 7099, 1932, 1107, 4952, 2542, 513, 838, 809, 344, 15293, 1650, 1282, 513, 7088, 344, 3781, 8957, 513, 13566, 1554, 693, 519, 11824, 2439, 9202, 267, 2015, 519, 3527, 8345, 2429, 519, 4729, 269, 1452, 2621, 1832, 721, 7722, 543, 9599, 607, 789, 11200, 1354, 938, 4064, 630, 528, 8186, 1040, 3767, 4605, 1346, 1482, 20825, 1373, 5340, 2661, 593, 3942, 610, 5496, 269, 19196, 1746, 267, 3884, 1405, 621, 286, 3807, 3206, 827, 891, 12644, 6770, 811, 1272, 547, 519, 1650, 780, 15563, 267, 1169, 1434, 1915, 2115, 2576, 547, 2170, 609, 269, 6787, 621, 781, 2828, 267, 1920, 267, 16167, 267, 610, 14763, 267, 1142, 2078, 8309, 547, 2679, 519, 2949, 1650, 269, 1635, 6313, 782, 891, 3334, 1927, 267, 649, 2744, 4514, 4030, 883, 1946, 1978, 8941, 13469, 865, 9244, 609, 721, 780, 3719, 7227, 267, 972, 781, 811, 256, 1284, 849, 1616, 547, 4983, 930, 1483, 3734, 4296, 1063, 4984, 267, 2528, 267, 543, 4654, 269, 2913, 781, 946, 1079, 3532, 2645, 1107, 5717, 543, 18759, 1107, 547, 948, 721, 1174, 1732, 269, 3414, 15826, 7391, 543, 11432, 1359, 936, 1898, 2055, 267, 649, 786, 3605, 9670, 6402, 1851, 9583, 20775, 5396, 780, 2690, 1383, 267, 1705, 596, 917, 602, 1082, 3504, 5931, 2671, 1455, 4798, 5103, 23608, 689, 3309, 4529, 286, 2107, 602, 1880, 20072, 267, 971, 607, 1546, 7079, 698, 926, 1031, 538, 19446, 267, 1522, 3180, 12572, 4644, 2066, 2789, 5132, 338, 286, 5548, 1324, 883, 891, 3584, 2636, 721, 547, 5660, 519, 17381, 540, 1480, 2833, 543, 22962, 938, 5380, 780, 3528, 3695, 5082, 5766, 553, 21969, 1457, 28037, 9047, 267, 649, 4126, 547, 5000, 7279, 827, 519, 1158, 1472, 721, 1247, 5807, 2463, 585, 922, 6909, 4763, 269, 8625, 267, 649, 786, 6330, 998, 1585, 6386, 267, 1451, 1007, 2035, 267, 543, 1020, 2565, 3206, 1983, 1107, 1818, 1565, 1187, 543, 2502, 2059, 519, 1259, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 396, 511, 6459, 3264, 7549, 4344, 4814, 22147, 3522, 13194, 25974, 27593, 4814, 27569, 4138, 7549, 30455, 616, 2810, 8658, 267, 2916, 267, 2773, 8916, 543, 32063, 23968, 342, 1143, 269, 2361, 1740, 568, 3769, 593, 2022, 12392, 4346, 267, 1576, 538, 2081, 543, 2200, 543, 3238, 1004, 269, 634, 824, 2843, 511, 6459, 3264, 7549, 4344, 4814, 22147, 3522, 13194, 25974, 27593, 4814, 27569, 4138, 7549, 21576, 538, 1863, 4485, 609, 3246, 519, 8061, 333, 698, 926, 579, 799, 9356, 1271, 585, 3909, 21849, 3344, 899, 13400, 543, 5339, 269, 2060, 2556, 28643, 593, 1065, 337, 267, 4901, 267, 543, 1494, 4293, 267, 519, 1576, 786, 1611, 519, 717, 333, 739, 6291, 8876, 7810, 547, 556, 20459, 13455, 30899, 10620, 267, 2061, 2854, 4966, 689, 519, 7616, 267, 543, 4766, 4207, 4359, 1641, 8481, 593, 4264, 1239, 269, 16712, 2143, 1772, 909, 2390, 519, 4039, 908, 5426, 540, 8733, 269, 5885, 12096, 547, 5225, 1631, 10927, 543, 4013, 3947, 519, 1034, 3909, 1554, 538, 519, 1271, 4013, 269, 4525, 1683, 519, 2843, 511, 6459, 3264, 7549, 4344, 4814, 22147, 3522, 13194, 25974, 27593, 4814, 27569, 4138, 7549, 267, 4154, 267, 1893, 5171, 547, 13918, 543, 3895, 538, 10515, 6776, 16815, 827, 741, 18831, 267, 7874, 10486, 267, 741, 4609, 543, 12206, 543, 17018, 12661, 6663, 269, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 769, 519, 2295, 540, 513, 14297, 6280, 13464, 267, 31314, 1851, 26009, 18073, 4054, 543, 2413, 5656, 267, 2482, 513, 1507, 2943, 18241, 11000, 10689, 1141, 7905, 25548, 878, 32149, 6026, 1010, 2442, 22414, 9085, 1576, 269, 4653, 267, 2705, 267, 1945, 5433, 1114, 607, 4166, 607, 519, 1053, 15336, 883, 519, 4055, 269, 1703, 729, 606, 2011, 540, 24736, 267, 6404, 609, 1175, 513, 5905, 540, 11552, 848, 269, 1280, 2221, 267, 7905, 32149, 5645, 609, 1864, 513, 12357, 10189, 780, 2026, 519, 9219, 13351, 8370, 267, 519, 1053, 14478, 32348, 607, 7905, 32149, 9411, 519, 4928, 267, 5402, 13326, 519, 15116, 1612, 4897, 538, 1010, 7916, 269, 654, 571, 5529, 17401, 538, 6960, 1957, 543, 17956, 676, 1000, 710, 267, 621, 8604, 547, 12520, 606, 28430, 27559, 602, 5612, 9676, 3025, 781, 3007, 269, 1261, 5116, 621, 9900, 593, 1010, 12816, 11308, 11380, 267, 799, 9240, 534, 539, 896, 922, 16012, 11411, 269, 2060, 9663, 992, 539, 32071, 4900, 543, 1726, 3387, 1782, 3946, 267, 519, 2356, 7768, 16159, 11688, 18469, 585, 513, 4090, 1354, 4098, 1362, 780, 9961, 519, 3992, 267, 26866, 619, 678, 2089, 1194, 998, 519, 9343, 540, 964, 802, 267, 1179, 2827, 827, 519, 9115, 540, 519, 10189, 10760, 1394, 543, 8521, 1063, 8049, 8186, 269, 2368, 16545, 4686, 1101, 24737, 819, 2835, 610, 3504, 22251, 282, 1866, 21787, 621, 1522, 2270, 1945, 2484, 811, 5609, 3563, 910, 5310, 1256, 5906, 269, 8616, 9624, 891, 6436, 267, 1100, 2875, 546, 1563, 2307, 741, 22644, 539, 4116, 827, 519, 3020, 2470, 540, 519, 1843, 269, 3502, 1152, 1705, 789, 4250, 14443, 532, 1010, 9159, 11000, 267, 855, 972, 849, 19388, 1229, 1369, 873, 513, 9490, 19385, 766, 547, 10625, 519, 11580, 621, 4371, 780, 4263, 2063, 267, 1282, 513, 5618, 23249, 1310, 7234, 6307, 32264, 781, 29975 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 20372, 568, 519, 2040, 540, 519, 13080, 540, 922, 5011, 269, 1924, 649, 666, 2328, 1384, 2162, 7151, 7726, 1948, 272, 2433, 19791, 1656, 3131, 12281, 2986, 12443, 326, 976, 692, 288, 2834, 15279, 6782, 814, 15943, 476, 1428, 3952, 269, 12315, 519, 3259, 540, 835, 2427, 538, 6279, 780, 303, 6372, 12226, 1384, 28557, 2626, 1384, 15008, 1384, 2026, 519, 3670, 5011, 540, 513, 2834, 15279, 6782, 616, 21412, 267, 649, 666, 2328, 1384, 10623, 564, 282, 568, 519, 3259, 540, 1142, 2427, 780, 3080, 3952, 568, 3160, 547, 476, 1321, 6279, 267, 865, 649, 666, 2328, 1384, 514, 2583, 692, 2162, 7151, 7726, 1948, 273, 2433, 19791, 1656, 3131, 12281, 2986, 12443, 326, 976, 692, 10376, 9703, 5086, 540, 513, 15279, 6782, 568, 476, 6344, 5232, 543, 519, 15943, 540, 519, 15279, 6782, 568, 476, 6344, 6279, 269, 4855, 519, 3259, 540, 1142, 2427, 540, 519, 15279, 6782, 780, 303, 6372, 12226, 1384, 28557, 2626, 1384, 15008, 1384, 7712, 1142, 9703, 5086, 540, 513, 15279, 6782, 568, 476, 6344, 5232, 267, 649, 723, 513, 2834, 15279, 6782, 609, 9838, 2427, 13080, 269, 1656, 649, 917, 602, 519, 15943, 540, 513, 20372, 568, 519, 2040, 540, 519, 13080, 540, 922, 5011, 269, 1924, 649, 666, 2328, 1384, 514, 2583, 692, 2162, 7151, 7726, 1948, 277, 2433, 1215, 1677, 4855, 634, 32309, 2986, 589, 1261, 343, 6782, 692, 288, 15279, 6782, 609, 15943, 540, 476, 4366, 814, 1614, 21412, 5011, 540, 1547, 4706, 824, 1614, 5011, 616, 21412, 547, 1142, 824, 609, 519, 3259, 540, 1547, 4855, 16317, 303, 6372, 12226, 1384, 28557, 2626, 1384, 15008, 1384, 763, 15943, 540, 513, 20372, 568, 519, 2040, 540, 519, 13080, 540, 922, 5011, 269, 4595, 1614, 5011, 616, 21412, 609, 519, 3259, 540, 543, 519, 1964, 540, 519, 5011, 723, 519, 3259, 540, 649, 666, 2328, 1384, 3086, 649, 1058, 4194, 519, 3830, 585, 23241, 2162, 7151, 7726, 1948, 272, 2433, 32309, 2986, 12443, 326, 976, 692, 288, 2834, 20008, 6782, 814, 521, 14988, 2654, 835, 3723, 282, 513, 2834, 15279, 6782, 814, 521, 14988, 2654, 4557, 6279, 269, 634, 15943, 540, 513, 2834, 12354, 6782, 568, 519, 2040, 540, 519, 829, 12281, 540, 519, 20008, 6782, 543, 519, 15279, 6782, 269, 1548, 568, 519, 2268, 540, 835, 2427, 540, 519, 12354, 6782, 2496, 303, 6372, 12226, 1384, 28557, 2626, 1384, 15008, 1384, 288, 2834, 20372, 814, 782, 540, 922, 5011, 519, 1482, 3259, 269, 634, 20008, 6782, 814, 15943, 1109, 282, 519, 15279, 6782, 814, 15943, 1109, 269, 634, 2040, 540, 519, 829, 12281, 568, 1109, 267, 799, 568, 519, 15943, 540, 519, 12354, 6782, 282, 1142, 2427, 540, 519, 12354, 6782, 814, 3259, 1109, 780, 2162, 7151, 7726, 1948, 272, 2433, 1215, 1677, 4855, 634, 32309, 2986, 589, 1261, 343, 6782, 692, 8340, 519, 15943, 540, 513, 15279, 6782, 609, 513, 2427, 3259, 540, 1109, 780, 303, 6372, 12226, 1384, 28557, 2626, 1384, 15008, 1384, 288, 15279, 6782, 814, 3670, 5011, 269, 476, 1109, 763, 15943, 540, 513, 15279, 6782, 568, 1384, 27802, 3482, 519, 2427, 3259, 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 ]
[ 543, 18409, 3467, 267, 661, 11053, 269, 630, 1220, 277, 264, 2048, 22102, 8996, 2634, 5121, 8730, 11671, 27023, 626, 267, 476, 1321, 263, 277, 1070, 6032, 269, 476, 24423, 1700, 2537, 269, 8222, 281, 476, 1015, 269, 14056, 278, 270, 13040, 4343, 276, 279, 2412, 277, 3066, 28760, 273, 563, 289, 1638, 3467, 267, 661, 11053, 543, 590, 1602, 985, 267, 744, 269, 630, 1220, 280, 264, 2048, 4467, 14658, 2634, 5121, 281, 3113, 7811, 2079, 540, 7293, 543, 6198, 1949, 8730, 7186, 17352, 29249, 267, 476, 1015, 263, 274, 1070, 6032, 269, 476, 5908, 1700, 2735, 269, 8222, 281, 476, 1015, 269, 9818, 279, 14672, 337, 333, 27038, 276, 563, 289, 1638, 3467, 267, 661, 11053, 269, 543, 30464, 9116, 267, 667, 2529, 269, 630, 1001, 272, 264, 2048, 31416, 11708, 281, 21370, 3631, 540, 519, 1480, 2634, 1921, 727, 8730, 16316, 5623, 540, 11916, 10017, 267, 476, 278, 267, 6032, 269, 476, 13647, 1700, 9610, 269, 8222, 281, 476, 1015, 269, 14625, 277, 270, 2335, 675, 341, 12641, 514, 10043, 268, 31239, 27944, 268, 16960, 280, 4097, 563, 27852, 267, 631, 269, 543, 2871, 652, 12541, 267, 595, 269, 630, 1001, 280, 264, 2048, 7021, 268, 9953, 574, 1436, 540, 4081, 13629, 14573, 281, 11287, 1434, 28496, 779, 1876, 538, 2962, 685, 717, 27004, 16631, 267, 476, 279, 263, 277, 1040, 8222, 281, 476, 1015, 269, 11820, 274, 17320, 580, 553, 7220, 17320, 714, 4962, 274, 563, 294, 328, 755, 328, 267, 595, 1421, 13850, 2077, 267, 681, 269, 543, 30464, 9116, 267, 667, 2529, 630, 1001, 277, 264, 2048, 10521, 779, 2754, 267, 1614, 630, 528, 811, 264, 568, 513, 2241, 343, 8730, 4750, 540, 32492, 29249, 267, 476, 6078, 263, 272, 1070, 6032, 269, 476, 272, 1700, 1691, 269, 8222, 281, 476, 1015, 269, 1911, 278, 4882, 10482, 2767, 268, 28318, 268, 271, 2568, 279, 268, 277, 563, 303, 1046, 267, 670, 11219, 269, 543, 674, 2077, 517, 267, 918, 269, 630, 1001, 274, 264, 2048, 1805, 24780, 543, 6198, 2634, 5121, 281, 689, 4296, 547, 17133, 8730, 3163, 630, 6124, 3840, 267, 715, 28629, 13776, 476, 31079, 267, 476, 11277, 279, 6078, 272, 269, 8222, 281, 476, 1015, 269, 12208, 277, 4882, 7220, 269, 11277, 279, 6078, 272, 563, 1805, 600, 267, 595, 12282, 269, 630, 1001, 275, 264, 2048, 17457, 3060, 2257, 540, 14715, 4713, 8730, 7186, 17352, 29249, 267, 476, 1428, 263, 1015, 1070, 6032, 269, 476, 6924, 274, 1700, 277, 4817, 269, 8222, 281, 476, 1015, 269, 9818, 279, 14672, 337, 333, 23884, 272, 563, 18360, 1430, 333, 267, 631, 269, 630, 1960, 278, 264, 2048, 685, 18719, 1324, 16863, 685, 281, 20894, 538, 519, 3703, 2160, 1062, 8730, 3864, 2689, 267, 11062, 2160, 4964, 267, 476, 276, 263, 274, 1070, 6032, 269, 476, 25134, 1700, 25834, 269, 8222, 281, 476, 1015, 269, 1911, 273, 14370, 306, 2975, 296, 264, 11277, 275, 268, 7176, 272, 311, 263, 1960, 3583, 278, 264, 276, 281, 274, 283, 25134, 15311, 288, 2839, 7232, 308, 4629, 7277, 285, 274, 269, 271, 269, 4596, 282, 273, 268, 275, 563, 309, 534, 715, 773, 17703, 22519, 8500, 572, 267, 661, 1421, 631, 622, 340, 267, 700, 8160, 1421, 15223, 714, 267, 808, 1421, 7754, 16344, 990, 267, 589, 269, 543, 966, 32752, 1157, 601, 267, 715, 269, 630, 1708, 272, 264, 2048, 17445, 539, 3113, 11837, 568, 2111, 547, 10646, 1063, 519, 3020, 543, 7301, 4232, 832, 538, 513, 1950, 538, 1606, 559, 4815, 29835, 4806, 8730, 16402, 10628, 267, 476, 2537, 269, 8222, 281, 476, 1015, 269, 11820, 274, 27160, 1755, 10628, 270, 15710, 629, 14138, 269, 276, 4510, 563, 309, 32752, 1157, 601, 267, 715, 1421, 645, 1601, 340, 267, 589, 1421, 1546, 3026, 557, 267, 808, 1421, 14480, 333, 1074, 267, 589, 1421, 2725, 6359, 321, 3073, 267, 966, 8160, 12171, 1421, 8709, 3541, 19850, 6577, 267, 631, 6993, 14371, 1421, 2142, 2131, 2006, 267, 808, 6185, 8160, 1421, 1546, 25234, 12027, 267, 808, 8160, 11053, 1421, 966, 657, 267, 631, 6993, 269, 543, 7754, 16344, 990, 269, 589, 17679, 269, 630, 1001, 278, 264, 2048, 14112, 6441, 8463, 9210, 529, 3941, 540, 570, 832, 1228, 632, 8672, 525, 538, 519, 18127, 2311, 686, 990, 550, 14152, 13332, 13928, 7844, 5620, 513, 674, 5914, 11115, 1143, 267, 2755, 7043, 518, 6441, 8463, 9210, 529, 3941, 3657, 19321, 539, 676, 1234, 7232, 660, 787, 8730, 808, 3722, 290, 281, 11916, 5082, 5268, 903, 5735, 267, 476, 274, 263, 1724, 1070, 6032, 269, 476, 14444, 276, 1700, 14991, 277, 269, 8222, 281, 476, 1015, 269, 6200, 277, 10768, 12459, 864, 335, 269, 1001, 278, 269, 6187, 269, 28318, 269, 0, 293, 31121, 781, 16869, 5623, 9147, 26308, 543, 1763, 7808, 22588, 454, 19741, 519, 2619, 602, 5012, 547, 519, 7013, 851, 540, 519, 6532, 568, 713, 3504, 14364, 267, 3710, 538, 519, 2038, 476, 274, 6113, 2540, 7460, 269, 898, 2899, 2893, 476, 276, 267, 4335, 1004, 269, 19171, 676, 729, 519, 17715, 10821, 10116, 20948, 676, 4936, 4871, 619, 543, 12266, 543, 21265, 6509, 22278, 269, 4256, 835, 268, 543, 1079, 3613, 800, 8075, 941, 3335, 3710, 1472, 513, 3844, 1330, 1399, 731, 267, 3006, 609, 9587, 593, 782, 5011, 269, 4469, 3233, 19821, 923, 540, 15315, 267, 20562, 1667, 267, 5017, 267, 23522, 267, 543, 667, 542, 903, 639, 8756, 539, 24467, 883, 28250, 3179, 2630, 282, 519, 1655, 25535, 5703, 666, 581, 2938, 538, 519, 5600, 540, 519, 667, 20462, 1231, 267, 519, 5600, 540, 519, 631, 3696, 267, 543, 519, 5600, 540, 519, 2558, 1211, 269, 0, 11902, 17395, 21832, 306, 269, 5990, 21832, 667, 5456, 3951, 3201, 11083, 307, 19272, 454, 288, 7473, 295, 27633, 281, 6730, 3918, 288, 631, 5085, 3041, 6347, 16692, 15829, 744, 590, 3201, 288, 313, 2752, 267, 11581, 294, 2752, 29273, 9654, 2207, 623, 3201, 3722, 296, 5308, 2098, 4456, 3036, 288, 267, 700, 308, 3041, 11581, 308, 19181, 302, 623, 2562, 3633, 288, 667, 383, 491, 288, 313, 454, 15045, 3198, 20784, 28714, 5442, 15674, 17628, 299, 23360, 15760, 631, 11286, 288, 3331, 479, 299, 309, 22664, 313, 2910, 17247, 4696, 302, 454, 763, 2165, 834, 293, 820, 5240, 257, 666, 581, 1945, 1007, 891, 2395, 610, 1945, 1360, 1134, 1634, 676, 930, 282, 10416, 834, 293, 820, 5240, 257, 16995, 3377, 616, 7301, 4773, 540, 1344, 4171, 1292, 3483, 568, 26760, 610, 1219, 14212, 543, 616, 3622, 2804, 610, 2797, 538, 2470, 269, 18766, 689, 713, 267, 789, 723, 519, 8984, 540, 1373, 3533, 7856, 998, 1896, 2527, 2923, 281, 607, 267, 585, 1383, 267, 1514, 5121, 269, 901, 568, 1018, 2306, 873, 581, 971, 606, 1271, 5420, 585, 3059, 6285, 19951, 563, 4131, 779, 3314, 602, 519, 2165, 834, 293, 820, 5240, 257, 4016, 547, 2150, 4902, 1344, 543, 267, 607, 922, 2012, 5267, 267, 621, 568, 22801, 1344, 602, 568, 24320, 2213, 607, 16048, 3377, 563, 6097, 547, 513, 1353, 5645, 856, 676, 519, 2780, 3354, 2754, 918, 5684, 619, 5652, 630, 298, 5684, 619, 5652, 267, 476, 1708, 273, 1070, 891, 16995, 3377, 666, 581, 9286, 883, 1079, 1804, 6688, 912, 268, 12267, 22393, 791, 13440, 1047, 281, 602, 568, 267, 1004, 917, 602, 789, 616, 16995, 2984, 855, 789, 616, 3370, 19037, 269, 1358, 949, 798, 713, 547, 13861, 1857, 6644, 610, 547, 28570, 519, 6808, 547, 513, 1808, 3896, 563, 268, 12267, 602, 2270, 1483, 2609, 267, 855, 602, 616, 6140, 791, 13440, 1047, 269, 901, 949, 2049, 1317, 519, 5856, 814, 711, 13761, 782, 519, 5013, 610, 814, 27105, 1978, 3344, 547, 6318, 513, 1880, 1448, 563, 763, 865, 10777, 2048, 327, 871, 619, 8730, 610, 1514, 8030, 267, 946, 834, 293, 820, 5240, 257, 3833, 1419, 609, 3584, 602, 1289, 519, 3007, 865, 602, 519, 538, 23024, 27624, 3593, 24506, 741, 9856, 267, 30390, 593, 621, 267, 543, 3468, 338, 741, 1514, 2923, 267, 610, 538, 811, 3665, 2665, 267, 741, 5904, 267, 11436, 267, 610, 24195, 267, 8754, 3056, 547, 519, 2530, 540, 1271, 1344, 610, 519, 791, 3205, 566, 540, 519, 1367, 547, 3489, 1569, 547, 741, 4871, 6589, 563, 9898, 300, 2562, 13256, 10396, 667, 5456, 3951, 3201, 11083, 307, 3722, 16775, 454, 3086, 602, 649, 917, 930, 1271, 2934, 827, 16995, 3377, 267, 621, 568, 1271, 547, 849, 917, 513, 3787, 827, 2048, 7356, 342, 4100, 685, 4731, 342, 4100, 4322, 267, 2687, 547, 519, 5689, 2264, 2421, 5052, 2546, 630, 22416, 2264, 2421, 5052, 267, 476, 1001, 280, 1070, 616, 1634, 607, 968, 7356, 5534, 3292, 892, 543, 713, 568, 513, 3376, 2165, 602, 4016, 547, 1022, 1982, 610, 17351, 3009, 602, 568, 5739, 585, 1949, 563, 14976, 18453, 21118, 850, 267, 703, 28424, 267, 543, 17543, 18473, 18453, 8942, 547, 28117, 267, 3441, 267, 610, 771, 762, 5904, 267, 2780, 1949, 267, 5121, 267, 543, 5985, 3457, 282, 1419, 267, 14322, 9864, 1852, 540, 519, 4238, 540, 513, 3926, 269, 3807, 899, 519, 2770, 267, 621, 7679, 31013, 609, 3339, 8647, 563, 763, 9837, 18453, 568, 547, 28302, 569, 970, 677, 2724, 689, 519, 3593, 269, 4014, 519, 17351, 1982, 3112, 2800, 519, 8800, 689, 519, 1949, 610, 519, 3060, 2443, 5976, 513, 1906, 17756, 1765, 621, 666, 21102, 267, 17278, 267, 610, 18419, 922, 1239, 267, 7369, 267, 610, 554, 6359, 871, 2596, 3252, 689, 519, 2780, 543, 22342, 593, 519, 2780, 2534, 1510, 707, 1702, 610, 10479, 454, 2171, 1058, 849, 5431, 519, 1034, 2442, 3283, 3823, 741, 31081, 17965, 543, 1455, 946, 269, 4340, 547, 5689, 2264, 2421, 5052, 630, 22416, 2264, 2421, 5052, 267, 476, 1001, 280, 1070, 891, 616, 930, 540, 519, 1034, 1455, 3283, 543, 789, 616, 6444, 585, 741, 2934, 912, 268, 4432, 740, 2264, 3040, 634, 2048, 611, 2264, 685, 568, 606, 13311, 3301, 2966, 547, 1397, 22099, 593, 707, 5496, 267, 2356, 538, 513, 11422, 269, 898, 11148, 547, 946, 513, 1147, 516, 696, 25875, 1505, 281, 621, 5910, 1742, 547, 581, 16048, 267, 610, 621, 1140, 2851, 3294, 547, 1776, 1982, 547, 8945, 519, 3593, 543, 1205, 8704, 593, 741, 7193, 267, 16979, 267, 610, 5985, 3926, 563, 268, 4432, 22342, 2264, 568, 18453, 799, 32625, 519, 2534, 689, 519, 3593, 593, 519, 2780, 31205, 543, 1510, 10479, 267, 543, 10596, 519, 1344, 547, 519, 2278, 540, 519, 3301, 563, 268, 589, 3644, 568, 513, 17351, 1982, 602, 568, 7923, 547, 1776, 1982, 543, 267, 950, 13401, 2443, 17141, 1510, 519, 3593, 779, 1702, 1765, 267, 621, 18187, 919, 3294, 676, 22212, 824, 3292, 689, 519, 2780, 543, 3468, 338, 873, 609, 922, 1378, 3009, 11353, 563, 268, 2048, 310, 768, 338, 685, 616, 513, 1826, 540, 18453, 2147, 547, 8290, 267, 799, 18187, 919, 3294, 609, 519, 3483, 540, 1373, 3262, 547, 824, 5904, 593, 513, 3060, 267, 2356, 4929, 3441, 543, 21006, 1239, 543, 6119, 563, 268, 589, 2048, 307, 549, 13568, 8730, 610, 18858, 13568, 7504, 267, 568, 835, 540, 519, 1034, 5906, 2010, 540, 18453, 269, 15380, 267, 621, 568, 4843, 607, 1945, 3730, 547, 8945, 519, 3593, 269, 4495, 621, 568, 593, 519, 1062, 267, 519, 31487, 3297, 519, 18858, 13568, 1205, 18977, 1569, 547, 519, 7783, 2780, 269, 3245, 972, 267, 18858, 329, 753, 666, 581, 1031, 547, 21102, 2883, 1344, 610, 3888, 6937, 971, 607, 8290, 563, 268, 4432, 26030, 2264, 3040, 2048, 305, 22095, 2264, 685, 568, 513, 1826, 540, 18453, 602, 7161, 519, 3593, 779, 1569, 547, 519, 3926, 610, 17278, 338, 741, 6119, 543, 1287, 4229, 873, 547, 2628, 513, 26030, 547, 2132, 873, 269, 681, 22095, 2264, 814, 1044, 6444, 607, 519, 9053, 14049, 585, 6880, 322, 3234, 10904, 1317, 621, 7569, 513, 2656, 543, 19311, 8569, 538, 2182, 3562, 13652, 1188, 15170, 269, 634, 3009, 3297, 519, 26030, 2264, 568, 2653, 547, 3489, 998, 10363, 2228, 2344, 17541, 855, 21108, 6000, 1996, 621, 3587, 1360, 2352, 454, 268, 4432, 3597, 18145, 3040, 2048, 305, 2393, 18145, 685, 568, 513, 1826, 540, 18453, 799, 3947, 519, 30429, 23070, 22864, 593, 519, 4299, 1062, 269, 15394, 267, 621, 568, 849, 2966, 865, 602, 621, 3788, 6456, 689, 519, 3593, 267, 689, 824, 1062, 3301, 267, 543, 689, 519, 5665, 1062, 3294, 563, 268, 589, 2048, 651, 2643, 690, 3455, 685, 568, 18453, 602, 5638, 782, 3593, 1883, 560, 15809, 267, 8637, 519, 6394, 1344, 267, 543, 15920, 621, 547 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 519, 5757, 267, 4180, 10103, 1063, 3356, 543, 2470, 5726, 269, 9282, 7620, 25922, 267, 1346, 538, 3870, 540, 519, 3312, 1544, 4166, 7691, 875, 1271, 621, 729, 547, 2463, 782, 9739, 543, 2149, 519, 1604, 780, 4913, 267, 835, 6397, 4161, 1869, 2482, 6619, 269, 589, 524, 7342, 16541, 29653, 519, 6288, 4070, 267, 19101, 621, 26991, 1978, 6042, 269, 898, 5828, 856, 602, 1256, 1310, 11495, 519, 1318, 3666, 1851, 519, 3309, 8639, 267, 20182, 15763, 10992, 952, 519, 6074, 4087, 740, 22363, 547, 1169, 5634, 4341, 269, 6736, 4743, 771, 24711, 2989, 4090, 3320, 267, 20182, 18056, 5128, 540, 519, 2956, 540, 9488, 1145, 543, 1565, 689, 9073, 269, 769, 3257, 865, 267, 646, 6026, 3025, 606, 1898, 3992, 538, 1966, 9010, 543, 21548, 281, 1100, 2339, 875, 1134, 649, 5965, 267, 972, 786, 2141, 581, 1945, 1007, 547, 1451, 543, 2087, 2390, 269, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 22081, 1522, 513, 21835, 538, 513, 1857, 5823, 3919, 3666, 519, 6788, 540, 1585, 8639, 971, 607, 11221, 8387, 267, 27710, 16558, 267, 543, 2818, 540, 519, 1857, 950, 1443, 2358, 593, 3656, 6927, 888, 296, 798, 711, 723, 2123, 8369, 610, 4978, 267, 855, 1934, 781, 606, 2626, 1384, 320, 8480, 538, 513, 1857, 5823, 3919, 666, 3666, 519, 6788, 540, 1585, 8639, 971, 607, 11221, 8387, 267, 27710, 16558, 267, 543, 2818, 540, 519, 1857, 950, 1443, 2358, 593, 3656, 6927, 676, 1384, 272, 269, 1620, 519, 2115, 543, 14422, 540, 1142, 30393, 1895, 281, 519, 8480, 1590, 1174, 519, 3853, 543, 6859, 540, 1142, 30393, 1895, 547, 1683, 4977, 543, 29829, 5796, 780, 273, 269, 4509, 513, 9243, 18879, 281, 1247, 7674, 1585, 8639, 267, 621, 568, 1898, 585, 519, 8480, 547, 2611, 31717, 267, 1683, 28102, 5796, 267, 543, 2226, 29591, 538, 519, 3656, 6927, 543, 3664, 780, 274, 269, 13326, 3656, 10220, 609, 1857, 1719, 281, 513, 8480, 1058, 2327, 10220, 609, 3656, 4170, 1247, 13326, 519, 1857, 703, 10640, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 563, 268, 16992, 543, 5188, 281, 1711, 12300, 3197, 945, 4497, 538, 6209, 7391, 267, 4543, 547, 2491, 543, 2263, 519, 2257, 2035, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 269, 0, 769, 713, 1576, 1770, 267, 649, 5490, 883, 519, 7706, 540, 14676, 543, 8642, 9089, 267, 3695, 875, 891, 3029, 12969, 609, 9589, 17779, 543, 2022, 24645, 556, 19960, 514, 902, 269, 1284, 786, 5659, 875, 5159, 946, 9589, 2609, 547, 4161, 8789, 6386, 267, 1016, 3200, 7810, 1379, 3889, 267, 543, 7682, 741, 1378, 2686, 9163, 269, 3414, 2673, 13220, 540, 5697, 5931, 267, 649, 786, 4983, 875, 891, 1568, 4497, 609, 1950, 4798, 971, 607, 1686, 267, 3965, 267, 543, 4187, 269, 1635, 519, 1439, 540, 713, 1770, 267, 596, 1058, 581, 2111, 547, 9691, 6218, 519, 2081, 538, 799, 13371, 1433, 4589, 2308, 9589, 17779, 547, 2263, 2022, 24645, 2152, 780, 272, 269, 22383, 543, 18753, 26358, 281, 20223, 519, 23839, 692, 6524, 11362, 883, 938, 1292, 3584, 267, 621, 568, 1898, 547, 3715, 513, 13654, 1620, 540, 14676, 543, 8642, 9089, 269, 1452, 2474, 616, 3006, 1031, 30430, 267, 855, 789, 3277, 547, 3982, 12043, 1369, 18615, 1148, 269, 22383, 3335, 2408, 538, 1974, 25025, 543, 2874, 540, 2110, 2984, 267, 6466, 8642, 9089, 616, 3476, 267, 1582, 8410, 22633, 6386, 3370, 607, 1796, 29671, 2835, 269, 5637, 3029, 8415, 513, 4999, 540, 2592, 543, 1257, 547, 6655, 2495, 267, 18136, 3988, 547, 7119, 8362, 538, 519, 9423, 1184, 780, 273, 269, 7395, 673, 30527, 281, 589, 16684, 11137, 692, 300, 698, 673, 17779, 568, 513, 5339, 7154, 6353, 676, 519, 16471, 540, 10853, 5468, 543, 28531, 2609, 269, 13298, 982, 9306, 9059, 607, 1945, 9058, 267, 9589, 1483, 626, 5931, 11753, 16750, 20825, 16900, 883, 519, 5958, 540, 4948, 1272, 269, 901, 1935, 2591, 6671, 11994, 540, 4641, 267, 20872, 3988, 547, 2243, 741, 10054, 827, 519, 1158, 1472, 873, 780, 274, 269, 3955, 21827, 540, 22383, 267, 18753, 26358, 267, 543, 7395, 673, 30527, 692, 4467, 923, 543, 8642, 9089, 1683, 15417, 2666, 585, 9589, 17779, 1813, 547, 741, 2189, 2702, 547, 11617, 2099, 7543, 2621, 7258, 27217, 3283, 269, 634, 5420, 781, 4390, 585, 3308, 13513, 2636, 5159, 547, 2263, 7493, 2035, 899, 942, 267, 2230, 267, 543, 3961, 998, 14165, 673, 11052, 269, 1306, 513, 1267, 267, 9589, 17779, 538, 14676, 666, 2709, 16367, 16555, 593, 1514, 267, 2797, 267, 543, 2686, 2152, 780, 275, 269, 5403, 24645, 1234, 19960, 514, 902, 543, 7395, 673, 30527, 692, 8070, 24645, 3332, 4749, 18271, 9589, 17779, 607, 513, 1797, 540, 4101, 30566, 545, 27964, 543, 973, 10967, 908, 12790, 12583, 269, 1635, 6220, 9589, 2609, 883, 6386, 1305, 538, 32519, 5624, 267, 4589, 1016, 3200, 2757, 1379, 6384, 543, 7682, 741, 1378, 2686, 5380, 269, 901, 4640, 6087, 2022, 24645, 5830, 547, 16472, 22030, 267, 16616, 5571, 23543, 540, 7810, 5208, 267, 543, 4952, 4244, 20304, 585, 741, 2950, 780, 276, 269, 8865, 5525, 281, 24167, 29120, 31157, 692, 2414, 2417, 9414, 891, 2035, 267, 1577, 721, 2490, 547, 930, 8037, 1806, 540, 14676, 543, 8642, 9089, 602, 4497, 609, 9589, 17779, 543, 2022, 24645, 556, 19960, 514, 902, 780, 320, 264, 834, 8110, 572, 335, 12994, 257, 676, 3057, 329, 2033, 9045, 1905, 328, 910, 901, 17770, 7240, 8642, 3209, 3096, 9589, 17779, 547, 6813, 9459, 781, 24360, 1686, 998, 519, 4064, 540, 513, 1762, 8004, 3395, 909, 1282, 519, 9099, 7169, 269, 1635, 9256, 2123, 17728, 609, 30642, 2065, 11052, 267, 9045, 1905, 328, 3091, 513, 3532, 16472, 540, 28974, 4341, 543, 3909, 4909, 1143, 780, 321, 264, 834, 13563, 18004, 4457, 257, 676, 22319, 13198, 523, 18708, 910, 769, 713, 14262, 960, 267, 18708, 7710, 519, 2833, 540, 7489, 4892, 10188, 7292, 14882, 543, 2686, 21939, 269, 14301, 2390, 29631, 5515, 689, 4457, 18691, 267, 18708, 13492, 513, 13857, 6514, 540, 3961, 5250, 543, 10362, 780, 322, 264, 834, 309, 797, 5622, 4132, 257, 676, 30370, 654, 574, 828, 2917, 910, 5590, 1996, 519, 20457, 540, 27425, 781, 6560, 585, 7115, 267, 713, 8642, 3209, 5205, 513, 1762, 4807, 945, 3587, 2377, 549, 6150, 538, 513, 16750, 4655, 1063, 12316, 4229, 543, 3943, 7810, 7060, 269, 654, 574, 828, 2917, 781, 946, 540, 9589, 17779, 5713, 547, 20838, 519, 6043, 543, 8116, 540, 20951, 1014, 1004, 9624, 10373, 14488, 780, 277, 269, 11879, 5811, 281, 12056, 609, 29120, 31157, 692, 3086, 602, 649, 723, 8947, 1896, 1883, 1806, 267, 621, 568, 942, 547, 4019, 707, 16012, 1702, 547, 513, 2565, 2079, 540, 891, 5931, 269, 6333, 519, 1739, 2055, 607, 596, 2992, 593, 1142, 960, 1384, 265, 1215, 1281, 519, 7376, 6451, 9589, 17779, 883, 741, 2239, 286, 1548, 2360, 1281, 713, 4480, 3132, 888, 265, 769, 1018, 2081, 1281, 519, 6074, 5420, 630, 1260, 923, 610, 8642, 9089, 264, 3986, 610, 1033, 847, 689, 519, 1650, 781, 1764, 888, 265, 1215, 798, 519, 3197, 6330, 2022, 24645, 8658, 543, 5706, 26568, 1949, 888, 265, 1548, 6626, 6848, 2152, 1281, 519, 1257, 2232, 267, 543, 875, 2500, 568, 922, 2126, 540, 1346, 4798, 2496, 3528, 2502, 7184, 609, 891, 2055, 267, 596, 786, 11349, 513, 10427, 1620, 540, 519, 28622, 1063, 14676, 267, 8642, 9089, 267, 9589, 17779, 267, 543, 2022, 24645, 556, 19960, 514, 902, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 31339, 8530, 14215, 28315, 19808, 4809, 3267, 2755, 713, 568, 1447, 7524, 543, 811, 14042, 982, 922, 31317, 267, 3988, 786, 581, 1175, 607, 6678, 337, 6817, 563, 300, 12089, 8530, 14215, 28315, 15761, 2400, 952, 10169, 835, 5991, 1774, 3267, 2755, 519, 1448, 568, 1134, 3144, 267, 519, 4661, 2760, 22264, 1454, 3564, 922, 8129, 282, 3988, 616, 10514, 12023, 609, 11995, 3140, 1806, 602, 267, 1247, 1419, 4241, 267, 3622, 3111, 547, 29360, 811, 2484, 23568, 2079, 269, 12846, 267, 3988, 5275, 2963, 547, 6450, 583, 9880, 540, 2221, 779, 1422, 262, 338, 852, 4148, 1389, 32075, 786, 723, 7899, 547, 3442, 689, 1934, 563, 31339, 298, 25184, 639, 763, 2694, 616, 1732, 982, 519, 2898, 267, 855, 519, 5048, 568, 2312, 281, 10753, 4923, 909, 543, 2972, 519, 1397, 563, 31339, 8530, 14215, 28315, 29587, 3146, 526, 532, 3267, 898, 782, 13793, 338, 1927, 23182, 267, 4259, 519, 3942, 585, 513, 19599, 3001, 3932, 269, 901, 568, 513, 1521, 563, 300, 12089, 298, 25184, 639, 516, 8364, 640, 1765, 1993, 3961, 267, 2724, 267, 12062, 267, 3347, 267, 1072, 28934, 519, 3844, 8082, 585, 1312, 2021, 281, 1215, 798, 649, 1590, 518, 519, 4222, 543, 4126, 547, 1847, 4464, 5103, 1272, 779, 6526, 1006, 543, 14922, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 2910, 300, 12903, 1299, 16998, 4338, 295, 2975, 715, 10976, 30600, 1315, 7395, 673, 30527, 1315, 5403, 24645, 1234, 19960, 514, 902, 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 ]
[ 2251, 267, 13031, 1455, 1275, 267, 29373, 543, 27171, 269, 634, 3921, 14373, 1465, 540, 2840, 2251, 568, 11566, 569, 10423, 538, 2021, 779, 2984, 23954, 269, 6468, 1767, 3921, 14373, 1465, 729, 519, 2048, 3118, 685, 789, 2840, 339, 1117, 282, 789, 2048, 339, 809, 621, 538, 741, 1193, 728, 10200, 901, 1427, 2454, 540, 2840, 2251, 607, 8723, 568, 2189, 269, 7201, 2391, 713, 3921, 14373, 1465, 543, 5009, 519, 1523, 267, 568, 513, 1978, 1582, 2389, 6412, 543, 6015, 269, 8422, 824, 1650, 6050, 267, 10423, 538, 2021, 779, 2984, 616, 3746, 2213, 538, 713, 1353, 269, 1452, 1650, 6050, 610, 2048, 1811, 685, 540, 2840, 2251, 1331, 519, 993, 5886, 13519, 1995, 540, 2048, 13512, 559, 697, 3207, 8730, 519, 2956, 540, 2021, 543, 1920, 543, 519, 27171, 540, 16563, 267, 9184, 5622, 543, 9059, 269, 634, 10083, 540, 476, 3707, 271, 338, 2840, 2251, 2984, 585, 4571, 342, 1161, 538, 2259, 2221, 568, 2808, 563, 18131, 779, 2081, 540, 2840, 2251, 538, 519, 2250, 949, 7866, 4296, 543, 7526, 609, 2081, 540, 2840, 2251, 538, 519, 476, 1960, 271, 338, 269, 901, 1353, 733, 1742, 602, 4571, 342, 1161, 540, 2221, 786, 581, 30039, 676, 6217, 2021, 779, 9739, 543, 2984, 540, 741, 2250, 2833, 269, 18964, 2021, 543, 4571, 342, 1161, 547, 11291, 2250, 267, 543, 849, 1459, 2984, 267, 666, 3986, 2840, 2251, 2833, 543, 3976, 4571, 342, 604, 2044, 2259, 269, 634, 2104, 540, 4571, 342, 604, 2044, 2259, 543, 519, 3354, 540, 2021, 779, 2081, 540, 2840, 2251, 568, 882, 5050, 593, 519, 16882, 540, 2021, 543, 547, 513, 14758, 6708, 267, 10319, 12352, 1063, 4571, 342, 1161, 543, 2021, 269, 4107, 11932, 267, 26500, 2021, 779, 2250, 2984, 786, 6488, 1871, 547, 891, 2984, 543, 22113, 2021, 779, 9739, 563, 18250, 298, 20044, 773, 267, 645, 269, 630, 1001, 276, 1040, 9255, 543, 1379, 281, 589, 1686, 540, 544, 24471, 3028, 11865, 538, 5375, 5245, 267, 476, 9264, 280, 268, 4198, 271, 269, 630, 2710, 28118, 5098, 1040, 12653, 4777, 577, 2160, 267, 5375, 5245, 563, 763, 2470, 543, 11865, 540, 544, 24471, 2533, 568, 8032, 676, 1082, 1114, 2188, 1519, 4087, 543, 942, 1974, 269, 901, 5098, 568, 513, 3140, 1353, 540, 5375, 5245, 779, 544, 24471, 2533, 1282, 519, 1974, 476, 9264, 280, 547, 476, 4198, 271, 269, 898, 12116, 519, 3310, 540, 519, 2564, 3924, 267, 519, 1533, 267, 4571, 342, 1161, 543, 2021, 2933, 538, 8744, 827, 1271, 2242, 547, 519, 11865, 540, 891, 2533, 269, 634, 1353, 3792, 1206, 513, 2022, 3146, 9679, 626, 15594, 1935, 799, 3922, 2478, 519, 9739, 540, 2021, 1312, 607, 11299, 543, 607, 4571, 342, 1161, 269, 769, 3257, 865, 267, 621, 2055, 3964, 2757, 24300, 540, 519, 2298, 540, 519, 4571, 342, 604, 2044, 2533, 6035, 538, 26146, 1282, 519, 21722, 1974, 543, 8711, 519, 2081, 538, 799, 2564, 9439, 543, 6608, 14944, 1441, 10686, 1227, 2389, 11712, 4571, 342, 1161, 543, 4547, 827, 3152, 1533, 1852, 540, 741, 2238, 269, 769, 713, 2079, 267, 4332, 538, 519, 2250, 568, 2048, 516, 5991, 5436, 2213, 685, 998, 606, 3408, 540, 1018, 2840, 2251, 949, 723, 1044, 899, 585, 4948, 2021, 543, 519, 1753, 568, 556, 19960, 1441, 607, 513, 2922, 543, 6899, 2840, 2251, 1747, 563, 1607, 1353, 2417, 7710, 1271, 4798, 799, 723, 10083, 547, 544, 24471, 1416, 538, 519, 4207, 2796, 269, 898, 27180, 519, 4657, 4087, 540, 4332, 543, 519, 1379, 3889, 602, 6766, 2021, 779, 2833, 538, 1114, 4332, 6753, 538, 519, 2250, 269, 6468, 779, 2048, 577, 7860, 685, 538, 27638, 616, 8268, 609, 513, 1445, 593, 519, 6708, 547, 799, 2021, 941, 3908, 538, 741, 3375, 6194, 676, 741, 14227, 543, 13664, 4567, 269, 634, 1353, 2055, 519, 6708, 547, 799, 4207, 24300, 540, 519, 1514, 2956, 540, 2840, 2251, 267, 1519, 519, 8561, 5116, 593, 2048, 577, 7860, 685, 543, 2840, 2251, 4087, 267, 666, 581, 4294, 547, 2021, 540, 519, 2250, 269, 898, 568, 11130, 602, 2038, 14206, 2540, 2021, 538, 5245, 1185, 513, 1950, 543, 10169, 24813, 2078, 547, 2840, 2251, 799, 7182, 519, 6708, 547, 799, 2413, 24300, 540, 4332, 666, 581, 1098, 12723, 883, 519, 3140, 2239, 563, 11764, 11302, 267, 589, 269, 630, 1960, 276, 1040, 2048, 2690, 594, 723, 2479, 865, 1454, 5132, 538, 1200, 2702, 607, 513, 12016, 685, 281, 634, 24256, 540, 519, 2146, 4571, 342, 1057, 538, 3162, 5245, 476, 8146, 277, 268, 3707, 273, 630, 2710, 28118, 19080, 1040, 4469, 785, 619, 2160, 267, 3162, 5245, 563, 763, 2832, 540, 713, 5098, 568, 547, 4983, 519, 2188, 799, 3366, 547, 519, 8589, 5314, 540, 519, 2146, 4571, 342, 1057, 538, 3162, 5245, 543, 519, 2360, 602, 891, 2188, 1185, 2390, 519, 2729, 540, 2021, 538, 4571, 342, 604, 2044, 2259, 693, 519, 942, 540, 519, 6388, 540, 519, 12502, 525, 32310, 2920, 540, 3162, 5245, 476, 4572, 271, 269, 769, 13197, 713, 679, 11431, 267, 519, 3339, 11865, 540, 4571, 342, 604, 2044, 1416, 538, 3162, 5245, 689, 476, 8146, 277, 547, 519, 476, 3707, 273, 568, 849, 4857, 269, 901, 5098, 568, 7255, 547, 1397, 538, 2239, 1106, 267, 875, 835, 2186, 540, 1514, 1689, 666, 1860, 1978, 2043, 543, 2516, 267, 538, 1931, 547, 6218, 519, 1942, 540, 602, 1689, 547, 835, 3296, 540, 2486, 267, 519, 2146, 4571, 342, 1057, 563, 3528, 1210, 3119, 17245, 2959, 540, 1019, 2456, 267, 5022, 267, 4013, 19359, 543, 8792, 2835, 267, 713, 5098, 12116, 519, 11865, 540, 4571, 342, 604, 2044, 1416, 689, 519, 11175, 540, 3703, 1004, 538, 3162, 5245, 538, 476, 8146, 277, 2394, 476, 3707, 273, 267, 543, 27180, 519, 16795, 3350, 540, 1126, 321, 597, 2251, 689, 519, 1753, 547, 519, 6413, 269, 901, 3350, 1185, 922, 25782, 20297, 538, 519, 1646, 540, 519, 14084, 2987, 1753, 540, 519, 20121, 3482, 1306, 23796, 689, 519, 476, 6977, 271, 338, 547, 519, 476, 6642, 271, 338, 269, 898, 729, 8476, 676, 519, 10661, 540, 519, 10348, 779, 5851, 538, 476, 5002, 273, 267, 519, 1101, 6101, 2866, 1153, 585, 4571, 342, 1161, 538, 3162, 5245, 267, 543, 1336, 922, 4222, 538, 519, 18735, 540, 2146, 543, 2197, 10506, 538, 519, 476, 4572, 271, 338, 269, 634, 5098, 20964, 713, 2796, 547, 2263, 519, 2078, 1063, 519, 2146, 4571, 342, 1057, 543, 519, 2199, 2564, 19995, 269, 898, 2982, 519, 2956, 540, 713, 2078, 1500, 538, 519, 4187, 547, 2242, 547, 4571, 342, 604, 2044, 1416, 538, 3162, 5245, 269, 1635, 1210, 2564, 543, 8808, 13746, 713, 1382, 12116, 519, 13374, 540, 519, 3318, 5314, 540, 8808, 267, 922, 2078, 547, 4915, 543, 922, 7766, 1198, 593, 519, 2259, 540, 519, 2146, 4571, 342, 1057, 563, 1607, 5098, 13187, 602, 519, 24256, 540, 519, 2146, 4571, 342, 1057, 666, 581, 11911, 547, 1614, 2188, 281, 519, 3318, 5314, 540, 8808, 543, 922, 2078, 547, 4915, 282, 519, 10388, 2564, 11407, 593, 519, 12178, 540, 27638, 538, 519, 1769, 540, 2564, 1702, 282, 543, 519, 16795, 2242, 538, 5539, 585, 519, 1126, 321, 597, 2251, 4807, 689, 519, 7622, 547, 519, 1857, 12106, 563, 27407, 621, 729, 9086, 585, 519, 14261, 540, 11923, 543, 4571, 342, 1161, 538, 3162, 5245, 267, 538, 519, 4473, 540, 519, 3318, 5314, 540, 8808, 267, 799, 9863, 547, 581, 519, 14045, 3815, 538, 519, 24256, 540, 519, 2146, 4571, 342, 1057, 563, 1320, 528, 690, 797, 267, 595, 269, 630, 1220, 271, 1040, 15348, 543, 519, 22825, 281, 5851, 19689, 538, 5375, 5245, 630, 2710, 28118, 19080, 1040, 12653, 4777, 577, 2160, 267, 3162, 5245, 563, 1607, 5098, 7710, 519, 3140, 267, 1514, 267, 2797, 543, 2804, 7506, 593, 519, 6214, 540, 8241, 1753, 19689, 267, 4481, 519, 3157, 17929, 519, 1533, 6087, 610, 9673, 1206, 4830, 4571, 342, 604, 2044, 2259, 269, 1635, 1210, 17245, 2959, 540, 5022, 267, 4013, 19359, 267, 3332, 8039, 267, 11042, 609, 1883, 8639, 543, 2013, 2090, 519, 5098, 2488, 606, 3140, 7650, 543, 4612, 894, 16472, 540, 519, 2686, 267, 2797, 543, 17531, 29386, 3157, 4478, 519, 11865, 540, 4571, 342, 1057, 17907, 3042, 1753, 19689, 2533, 269, 898, 2982, 875, 22265, 1702, 827, 2840, 2251, 568, 2813, 267, 1596, 592, 326, 730, 543, 13934, 267, 10223, 519, 683, 343, 639, 1063, 22265, 1702, 543, 519, 3892, 540, 2564, 1379, 269, 634, 20448, 779, 20010, 21960, 2251, 7896, 5358, 568, 1031, 607, 513, 2013, 1353, 547, 9414, 875, 519, 2564, 27964, 540, 2048, 14490, 685, 543, 2048, 338, 23245, 685, 16048, 2564, 1379, 543, 2259, 607, 1134, 607, 519, 3448, 3668, 540, 1379, 540, 4571, 342, 1161, 269, 3807, 607, 11932, 267, 519, 5098, 9727, 875, 4332, 15628, 22848, 877, 519, 9465, 5116, 538, 741, 10092, 543, 538, 3257, 865, 1031, 519, 20010, 21960, 2251, 7896, 5358, 547, 1711, 1007, 3631, 540, 4807, 7266, 1042, 2840, 2251, 269, 901, 5098, 13187, 602, 606, 1271, 6662, 585, 1312, 17531, 13062, 1846, 543, 519, 4571, 342, 604, 2044, 3924, 568, 547, 3136, 547, 4161, 543, 8197, 1689, 31737, 30013, 267, 1533, 23418, 9285, 2564, 2853, 269, 8307, 1287, 786, 1753, 321, 597, 2195, 581, 9833, 711, 607, 606, 4244, 855, 835, 540, 513, 2039, 540, 4295, 267, 13416, 2840, 2251, 3681, 269, 0, 1692, 4411, 1058, 8028, 9514, 538, 1286, 286, 901, 568, 513, 2243, 1004, 2307, 950, 6117, 267, 2523, 538, 3905, 4365, 563, 3849, 3286, 532, 519, 8028, 1286, 711, 1152, 2306, 519, 31269, 6899, 855, 849, 2337, 519, 8028, 1286, 3035, 2500, 2773, 563, 1692, 12019, 9701, 8028, 645, 869, 769, 2961, 888, 32207, 958, 267, 519, 3328, 2837, 540, 519, 1286, 8028, 786, 8428, 689, 519, 9205, 2837, 676, 827, 476, 736, 268, 3374, 5232, 18278, 563, 4913, 267, 519, 8028, 2095, 19501, 538, 519, 1286, 5673, 593, 1082, 2188, 267, 1519, 519, 19355, 2837, 267, 519, 2179, 540, 2011, 8429, 998, 267, 543, 519, 1072, 540, 519, 1004, 538, 519, 1286, 563, 763, 5794, 18323, 454, 1432, 10917, 1058, 1250, 1035, 581, 25738, 286, 28611, 267, 952, 519, 3544, 2011, 2837, 568, 476, 3583, 5232, 18278, 267, 609, 513, 11195, 1377, 540, 827, 476, 736, 9077, 519, 1286, 8028, 3977, 689, 21686, 642, 757, 568, 827, 476, 2767, 268, 4343, 5232, 18278, 563, 20118, 267, 538, 4025, 609, 1164, 11195, 602, 11385, 919, 1472, 476, 3199, 910, 3445, 9077, 543, 519, 3544, 2011, 2837, 568, 909, 547, 476, 3199, 268, 3445, 5232, 18278, 267, 1287, 1286, 8028, 1058, 581, 6854, 693, 476, 3451, 268, 4366, 5232, 18278, 563, 763, 3017, 1063, 519, 8028, 2837, 543, 519, 3544, 2837, 1058, 581, 9738, 693, 476, 3374, 5232, 18278, 563, 2252, 519, 2837, 3017, 568, 1932, 1804, 267, 621, 949, 2014, 8143, 8710, 267, 7133, 519, 9920, 779, 1072, 563, 306, 5844, 2837, 2242, 666, 2014, 9025, 2068, 267, 17465, 267, 12675, 635, 320, 267, 543, 8229, 3441, 563, 763, 2549, 870, 2986, 5794, 10426, 532, 3414, 454, 307, 9506, 593, 519, 1286, 779, 2011, 30690, 1247, 6679, 519, 9486, 568, 711, 5227, 585, 10256, 269, 898, 3123, 4411, 2011, 547, 9101, 543, 2306, 519, 2011, 30690, 960, 9875, 563, 4913, 267, 1082, 1004, 1869, 1616, 547, 1930, 519, 6885, 543, 2490, 593, 519, 2011, 30690, 693, 519, 1482, 942, 1317, 789, 1616, 547, 581, 6534, 547, 519, 3544, 2011, 547, 581, 1447, 8631, 344, 543, 2057, 3002, 8482, 269, 2368, 1004, 609, 804, 320, 755, 5268, 14113, 849, 2972, 713, 563, 7712, 519, 6885, 568, 1930, 267, 519, 2179, 540, 4411, 2011, 4947, 856, 540, 519, 1286, 8028, 568, 849, 811, 543, 21617, 982, 8912, 563, 3383, 875, 4411, 1058, 2011, 30690, 9514, 538, 1286, 286, 28611, 267, 952, 519, 3544, 2011, 568, 1932, 1454, 267, 519, 9920, 1058, 2569, 519, 2837, 547, 476, 3374, 5232, 18278, 2630, 519, 6679, 2837, 950, 519, 9486, 616, 6806, 563, 763, 2657, 2986, 634, 4658, 769, 634, 2961, 454, 1692, 4411, 1058, 1250, 1035, 9514, 286, 1323, 1271, 3364, 602, 10256, 2015, 950, 14577, 519, 1286, 779, 2011, 30690, 568, 519, 1072, 4567, 540, 2933, 543, 1346, 538, 519, 1286, 563, 2252, 2576, 814, 7929, 3676, 971, 607, 11522, 267, 4411, 267, 610, 16415, 267, 621, 568, 1655, 547, 4188, 519, 2837, 547, 2362, 982, 3339, 563, 763, 3017, 1063, 519, 2837, 3330, 519, 1286, 543, 3544, 1058, 581, 1507, 267, 827, 476, 3374, 5232, 18278, 563, 2690 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 27283, 8665, 610, 2707, 267, 607, 519, 3141, 267, 513, 17689, 267, 610, 513, 581, 13154, 563, 268, 519, 2234, 4800, 610, 26149, 689, 513, 1880, 2707, 281, 519, 1769, 540, 513, 23156, 563, 268, 519, 26149, 689, 519, 3141, 3248, 1485, 2775, 281, 1284, 1659, 5803, 693, 519, 1101, 1769, 563, 268, 1554, 19874, 610, 21554, 281, 950, 1769, 7902, 538, 519, 7532, 563, 268, 24817, 281, 14400, 814, 811, 3108, 540, 1769, 563, 268, 513, 1880, 1769, 610, 26149, 538, 799, 606, 1843, 2938, 3217, 593, 513, 1978, 5920, 281, 13156, 519, 17855, 538, 3897, 1769, 563, 268, 513, 3926, 585, 610, 1797, 540, 5337, 1746, 267, 607, 513, 8141, 267, 18723, 267, 610, 6474, 281, 16393, 596, 2285, 803, 513, 1769, 888, 268, 513, 6808, 1769, 281, 5213, 1405, 3444, 11489, 519, 1769, 2242, 563, 268, 519, 2460, 538, 799, 513, 3364, 5526, 610, 568, 9833, 281, 8347, 547, 1413, 693, 519, 3510, 538, 513, 811, 28292, 1769, 563, 268, 519, 1533, 540, 1373, 7298, 267, 6534, 547, 2070, 267, 610, 7000, 547, 1857, 5469, 610, 1702, 3248, 3916, 601, 697, 281, 853, 731, 558, 814, 5116, 1200, 538, 519, 1769, 563, 268, 513, 1268, 945, 568, 606, 14222, 6205, 267, 28910, 267, 610, 1383, 3248, 331, 636, 2435, 281, 1261, 2968, 835, 540, 519, 3056, 8279, 540, 26198, 12416, 563, 268, 519, 1198, 540, 1769, 9991, 593, 606, 1843, 610, 6429, 607, 6719, 538, 513, 4605, 563, 268, 835, 540, 519, 6505, 652, 2694, 540, 513, 4605, 563, 268, 513, 575, 548, 600, 610, 8141, 548, 267, 607, 538, 519, 4064, 563, 268, 513, 2268, 610, 3761, 540, 1769, 3248, 650, 636, 1588, 281, 634, 3774, 11912, 1055, 938, 1769, 563, 268, 5289, 26149, 610, 4656, 3248, 268, 4746, 1572, 1554, 269, 835, 26654, 540, 513, 6885, 610, 6885, 521, 1662, 563, 268, 513, 6885, 267, 17611, 269, 513, 1507, 835, 563, 268, 2790, 5813, 3248, 268, 8279, 267, 519, 1344, 267, 2093, 267, 610, 2790, 19206, 22234, 281, 547, 957, 2687, 547, 835, 781, 8279, 563, 268, 513, 561, 30224, 563, 268, 1496, 6635, 15939, 545, 20426, 1492, 32416, 563, 268, 3142, 547, 1769, 267, 547, 3605, 610, 7866, 281, 634, 14155, 725, 4547, 547, 1769, 519, 24790, 540, 606, 3504, 10340, 563, 268, 2097, 547, 1769, 267, 547, 581, 4362, 610, 7000, 281, 2368, 5892, 3768, 4593, 2642, 5022, 723, 25015, 2097, 547, 1769, 563, 268, 12404, 835, 781, 1769, 896, 513, 1668, 3559, 267, 547, 10703, 531, 610, 16401, 835, 781, 15421, 610, 18454, 563, 268, 538, 513, 1434, 630, 528, 3983, 3738, 1769, 267, 896, 15028, 630, 528, 30369, 264, 6381, 281, 2701, 10847, 539, 1864, 267, 855, 1287, 1352, 9364, 1152, 2938, 1864, 538, 513, 1434, 1769, 563, 268, 538, 630, 1492, 264, 1769, 540, 267, 2921, 883, 2272, 3248, 4621, 18790, 281, 898, 729, 2556, 547, 2689, 519, 3375, 538, 519, 1769, 540, 2487, 7835, 563, 268, 1769, 693, 519, 1439, 540, 519, 15993, 267, 513, 19175, 540, 1967, 267, 8323, 267, 610, 25863, 281, 1284, 10093, 1405, 12193, 519, 1966, 2943, 267, 855, 649, 2811, 4098, 547, 1294, 1769, 693, 519, 1439, 540, 519, 15993, 563, 268, 1294, 519, 1769, 912, 268, 547, 2097, 883, 6228, 610, 1373, 563, 268, 547, 581, 1500, 1857, 563, 268, 547, 2253, 547, 3398, 610, 1174, 513, 1448, 540, 2070, 835, 19497, 10353, 281, 4173, 4651, 729, 10353, 547, 1200, 11504, 606, 856, 6361, 2389, 1144, 2852, 267, 855, 646, 6368, 4718, 519, 1769, 563, 268, 8774, 610, 12235, 1769, 593, 267, 547, 12172, 3248, 27234, 909, 281, 3571, 2669, 5523, 1476, 11970, 28520, 1769, 593, 513, 9814, 540, 1279, 7555, 563, 268, 2348, 1769, 610, 26149, 3248, 6202, 2000, 32484, 281, 519, 1769, 652, 4055, 538, 519, 3003, 2777, 563, 268, 12779, 267, 17642, 880, 267, 610, 711, 2620, 610, 4158, 538, 2681, 281, 513, 1769, 4544, 563, 268, 630, 1993, 6995, 610, 7401, 264, 5627, 2614, 5144, 610, 8645, 547, 3132, 513, 1769, 2681, 563, 268, 547, 1305, 8781, 267, 607, 513, 23156, 267, 17689, 267, 3595, 267, 6474, 267, 610, 16906, 3248, 268, 547, 2490, 610, 6467, 593, 630, 534, 3167, 1769, 2567, 2290, 31300, 540, 519, 4487, 6467, 8279, 782, 519, 22311, 538, 519, 4055, 563, 268, 547, 2285, 1769, 547, 3248, 325, 1248, 880, 609, 1769, 610, 26149, 281, 634, 4055, 568, 1769, 539, 676, 1079, 1804, 669, 28888, 4536, 563, 268, 547, 1118, 630, 534, 1858, 610, 1843, 264, 6505, 609, 610, 607, 952, 609, 1769, 630, 21865, 1165, 269, 676, 909, 2567, 25569, 338, 540, 22250, 1769, 539, 909, 519, 3440, 3336, 563, 268, 547, 2014, 630, 1492, 3068, 267, 10450, 267, 3092, 4700, 547, 6505, 523, 267, 17611, 269, 609, 7772, 267, 14318, 267, 610, 519, 899, 630, 21865, 1165, 269, 676, 909, 2567, 589, 12837, 1396, 909, 1200, 3068, 269, 4173, 4527, 1769, 539, 909, 519, 4055, 563, 268, 547, 3391, 610, 2932, 609, 513, 1769, 281, 513, 23156, 547, 1769, 596, 547, 5127, 563, 268, 547, 1491, 3595, 610, 1831, 2186, 1194, 281, 634, 14927, 3574, 15189, 547, 1769, 563, 268, 547, 5337, 924, 513, 524, 580, 541, 267, 16906, 267, 610, 10612, 585, 5301, 540, 7296, 630, 17141, 1165, 269, 676, 909, 2567, 1261, 3576, 856, 513, 10612, 543, 1769, 539, 909, 1354, 6340, 563, 268, 547, 1831, 25139, 950, 23564, 593, 281, 901, 3349, 17689, 4465, 1405, 1769, 563, 268, 547, 1831, 6505, 267, 607, 609, 1769, 610, 2681, 630, 21865, 1165, 269, 676, 909, 2567, 634, 6607, 8279, 909, 693, 23863, 563, 268, 547, 6505, 523, 609, 14318, 610, 7772, 267, 607, 519, 3068, 610, 4064, 630, 21865, 1165, 269, 676, 909, 1916, 2704, 1301, 1849, 1442, 8752, 723, 476, 1015, 27589, 2073, 789, 616, 5440, 476, 276, 654, 820, 5455, 8752, 1849, 4169, 267, 8437, 1677, 28652, 267, 1325, 1301, 1849, 1442, 8752, 1948, 274, 2353, 476, 279, 769, 2290, 631, 8085, 2316, 303, 4041, 623, 7838, 303, 5308, 292, 281, 32680, 1325, 1301, 1849, 1442, 1341, 7537, 22077, 300, 15571, 1341, 853, 699, 334, 29402, 29150, 1341, 10896, 11638, 12258, 528, 13957, 8752, 2060, 17435, 1067, 266, 32680, 18292, 932, 24147, 1341, 476, 1421, 8835, 2593, 281, 7537, 7644, 654, 820, 268, 10000, 8752, 267, 6129, 23438, 29896, 1325, 1301, 1849, 1442, 267, 7186, 13957, 8752, 267, 476, 276, 27413, 22014, 1877, 700, 2086, 267, 476, 274, 24761, 1145, 16170, 2515, 700, 2086, 267, 27450, 654, 820, 268, 10000, 476, 1421, 1325, 1301, 1849, 1442, 8752, 715, 823, 6733, 1948, 276, 8752, 10657, 267, 1325, 1301, 1849, 4169, 267, 20048, 984, 5735, 267, 5845, 2354, 267, 1325, 1301, 1849, 1442, 8752, 4279, 24436, 1948, 277, 19743, 8256, 18870, 267, 8752, 1299, 1325, 1301, 1849, 1442, 8437, 3371, 1677, 7348, 700, 24147, 12005, 267, 1325, 1301, 1849, 1442, 8752, 1948, 279, 27439, 7305, 700, 2086, 2060, 1325, 1301, 1849, 1442, 30558, 1744, 9464, 27439, 7822, 21744, 8752, 27439, 28239, 8752, 30325, 267, 700, 636, 773, 10610, 22018, 8028, 20937, 476, 7742, 654, 820, 268, 10000, 8752, 1325, 1301, 1849, 1442, 267, 1325, 1301, 1849, 1442, 700, 2086, 5851, 3436, 10371, 12989, 616, 519, 2592, 912, 2704, 1301, 1849, 1442, 8752, 5170, 547, 581, 5697, 689, 519, 9241, 9310, 6292, 547, 9585, 707, 2777, 269, 1306, 1134, 607, 922, 2511, 602, 568, 2413, 855, 18562, 2241, 267, 713, 11380, 849, 1044, 607, 513, 1267, 540, 1082, 9342, 971, 607, 585, 3236, 1522, 581, 1031, 607, 513, 1505, 540, 11018, 707, 1920, 267, 513, 4819, 781, 1565, 1927, 267, 513, 1747, 865, 8521, 543, 547, 1747, 707, 10051, 3937, 563, 1607, 3349, 568, 7363, 13745, 609, 993, 7236, 1753, 855, 666, 849, 581, 17479, 593, 1776, 2230, 269, 623, 878, 532, 3349, 666, 581, 14949, 982, 1114, 1796, 1317, 540, 922, 1507, 20695, 269, 1403, 596, 4782, 547, 6718, 713, 1796, 267, 972, 568, 538, 6217, 930, 2511, 12947, 23341, 3046, 3349, 2630, 585, 8404, 267, 1100, 2800, 563, 1607, 3349, 568, 4421, 609, 17285, 610, 2067, 7801, 1519, 20585, 267, 3109, 610, 6505, 269, 932, 4202, 616, 8246, 711, 7050, 543, 849, 2653, 609, 519, 7274, 540, 476, 274, 23107, 269, 901, 1796, 568, 18923, 1031, 585, 669, 30568, 543, 4189, 4805, 267, 2094, 519, 6482, 3884, 1405, 1932, 1804, 269, 15733, 1031, 4837, 610, 26759, 4496, 563, 763, 1325, 1301, 1849, 1442, 8752, 5078, 585, 1753, 2230, 781, 1459, 1554, 4990, 269, 901, 9910, 2389, 762, 2501, 609, 606, 5920, 602, 568, 4009, 602, 568, 17953, 344, 547, 3132, 621, 3100, 811, 1459, 762, 547, 1205, 513, 7524, 6292, 602, 568, 1762, 269, 4935, 1705, 711, 6108, 1454, 942, 513, 1007, 7008, 945, 616, 1360, 3742, 4207, 7515, 949, 849, 581, 811, 3362, 17411, 543, 19345, 563, 8368, 339, 3591, 849, 6626, 971, 602, 621, 949, 581, 1031, 547, 1747, 5613, 267, 10051, 3688, 585, 1383, 838, 9398, 267, 8286, 267, 3092, 269, 1530, 1846, 729, 5892, 28489, 609, 513, 17031, 610, 14328, 7953, 616, 10709, 543, 6263, 538, 1931, 547, 27464, 2312, 540, 519, 1764, 540, 6551, 7190, 538, 519, 1753, 563, 763, 1325, 1301, 1849, 1442, 8752, 4998, 585, 2067, 1106, 540, 1753, 2777, 269, 901, 2067, 3349, 814, 513, 4009, 6879, 1901, 602, 568, 3677, 982, 3574, 610, 631, 5263, 630, 8469, 1756, 5937, 3748, 27438, 4580, 264, 538, 1931, 547, 1711, 513, 811, 2067, 8226, 269, 901, 1796, 2882, 2067, 4778, 899, 6505, 543, 6960, 563, 305, 24655, 24762, 593, 1325, 1301, 1849, 1442, 8752, 454, 268, 28358, 976, 595, 32385, 10620, 454, 268, 25065, 10162, 1993, 12275, 720, 14716, 454, 268, 661, 19241, 23705, 4856, 1676, 1924, 17304, 15147, 454, 268, 667, 1410, 553, 7502, 2355, 1043, 8891, 16376, 518, 454, 268, 1230, 1203, 25052, 853, 8402, 454, 268, 8895, 2917, 28881, 4469, 3233, 12697, 454, 268, 476, 275, 8571, 518, 30446, 22216, 787, 454, 268, 9466, 1656, 6519, 12389, 10162, 1682, 454, 268, 1849, 657, 564, 1684, 528, 12928, 984, 454, 268, 7982, 12881, 5071, 338, 1280, 17268, 454, 268, 22630, 30325, 454, 268, 918, 731, 1662, 1014, 5851, 5463, 528, 454, 268, 4303, 2775, 25052, 454, 268, 16170, 24872, 1656, 15332, 16170, 645, 1872, 20917, 816, 5019, 10725, 454, 268, 674, 1245, 4934, 8950, 30325, 454, 268, 10699, 2421, 17125, 325, 12697, 0, 763, 2376, 540, 8381, 523, 30166, 8132, 5453, 1564, 729, 3370, 593, 5988, 476, 1724, 267, 476, 1001, 278, 693, 476, 273, 281, 2918, 993, 269, 898, 568, 11540, 538, 519, 30166, 8132, 7121, 269, 8381, 523, 30166, 8132, 5453, 1564, 568, 28562, 609, 8381, 523, 30166, 8132, 5453, 1564, 267, 8381, 523, 267, 30166, 8132, 267, 5453, 1564, 10756, 24841, 523, 6229, 1892, 523, 630, 342, 385, 493, 385, 493, 323, 12664, 333, 1070, 24433, 12332, 7755, 563, 268, 9967, 610, 1500, 540, 3574, 3248, 6229, 281, 513, 11308, 6928, 563, 268, 13888, 267, 796, 326, 664, 569, 267, 610, 26101, 281, 513, 11308, 32376, 563, 268, 1510, 6891, 267, 14318, 267, 610, 4656, 563, 268, 20585, 610, 29749, 563, 268, 10834, 519, 11359, 2680, 540, 513, 3126, 267, 607, 513, 16806, 16683, 563, 293, 1248, 8132, 325, 584, 1892, 14269, 1892, 339, 675, 630, 325, 383, 375, 337, 12664, 14269, 669, 16745, 337, 1070, 24433, 12332, 562, 563, 268, 519, 1940, 762, 4930, 267, 607, 7515, 267, 23107, 267, 964, 802, 610, 19970, 1115, 267, 2838, 585, 946, 610, 15022, 3512, 538, 513, 2777, 267, 5604, 267, 610, 519, 899, 563, 268, 3514, 14005, 267, 17102, 267, 610, 2556, 17960, 585, 1945, 563, 268, 3937, 585, 10754, 543, 824, 1857, 2127, 267, 607, 8654, 4441, 267, 4191, 267, 1649, 2583, 267, 610, 16445, 25510, 563, 268, 4746, 1572, 581, 13145, 267, 4666, 4496, 269, 4773, 540, 3574, 610, 4496, 267, 1447, 982, 1826, 1164, 267, 1305, 538, 543, 827, 3817, 540, 1826, 547, 6445, 873, 856, 543, 3180, 519, 1826, 538, 1747, 538, 513, 29677, 563, 12640, 1564, 20253, 601, 630, 327, 342, 25207, 331, 267, 530, 25207, 331, 1070, 24433, 12332, 562, 563, 268, 513, 9764, 7406, 610, 12210, 11231, 547, 31721, 593, 606, 7852, 267, 607, 593, 610, 538, 6472, 610, 12227, 563, 268, 1022, 3684, 267, 17102, 267, 6293, 267, 3092, 1421, 8032, 899, 713, 610, 2348, 513, 9764, 7406, 267, 12210, 267, 610, 2847, 6295, 14941, 607, 606, 1898, 4183, 281, 513, 1494, 614, 781, 8868, 282, 13193, 30592, 8868, 282 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 10729, 630, 16744, 6523, 22202, 1040, 901, 4679, 519, 23015, 5328, 2604, 540, 519, 10729, 543, 29620, 556, 25388, 1632, 540, 1216, 676, 519, 8459, 267, 4611, 538, 2799, 10729, 2504, 630, 335, 8432, 22202, 264, 543, 2799, 5714, 2530, 269, 23452, 1973, 4320, 786, 581, 8719, 23015, 582, 1227, 689, 1216, 4371, 538, 1560, 2281, 543, 824, 1560, 735, 25902, 267, 4929, 18024, 543, 2799, 19818, 630, 335, 8432, 323, 2354, 807, 1916, 3080, 540, 519, 1883, 2188, 538, 21280, 4802, 779, 2126, 540, 3987, 568, 9395, 1973, 7280, 1852, 267, 865, 581, 1978, 602, 707, 2126, 2337, 1205, 707, 1973, 7280, 13220, 607, 2673, 547, 3339, 607, 9108, 2009, 269, 14904, 1058, 1865, 609, 741, 7189, 1018, 741, 3077, 1973, 7280, 2039, 568, 269, 898, 568, 849, 1271, 547, 3313, 1018, 707, 3804, 568, 585, 589, 272, 290, 13220, 630, 320, 1449, 602, 11887, 875, 1134, 707, 3987, 568, 6417, 936, 519, 2250, 476, 273, 268, 274, 3275, 1040, 1635, 4509, 1973, 7280, 538, 519, 5551, 2039, 267, 596, 3580, 2693, 2057, 1082, 540, 519, 8374, 930, 1004, 609, 3987, 3068, 563, 30048, 22577, 568, 513, 5312, 2068, 267, 585, 799, 972, 568, 1100, 1634, 10826, 4849, 538, 1360, 1808, 3871, 269, 5004, 30211, 593, 5329, 1973, 4006, 2157, 607, 2673, 547, 3339, 267, 1510, 4929, 1970, 1973, 4006, 269, 901, 666, 2356, 581, 12913, 609, 513, 2635, 2732, 267, 3635, 267, 2597, 2530, 267, 543, 946, 540, 3617, 6527, 630, 1231, 6081, 538, 519, 2013, 540, 1826, 476, 272, 3987, 282, 5711, 6527, 267, 607, 1134, 607, 7654, 7378, 267, 538, 1826, 476, 273, 3987, 1040, 314, 4364, 673, 11239, 2877, 2639, 7804, 269, 2904, 4867, 1568, 607, 513, 2407, 5503, 1439, 4531, 514, 6048, 543, 814, 1044, 538, 4357, 2259, 2094, 476, 1220, 275, 269, 1261, 814, 513, 3099, 540, 4690, 267, 15866, 8377, 543, 3987, 267, 855, 849, 12034, 2550, 609, 21404, 267, 11178, 4713, 267, 2367, 781, 1072, 4713, 267, 30783, 543, 29427, 4713, 267, 4874, 1097, 10973, 30124, 267, 543, 4713, 540, 2208, 269, 1261, 568, 513, 3056, 4759, 540, 1896, 8377, 543, 3987, 7239, 543, 8255, 513, 4693, 8998, 585, 1007, 5061, 563, 10666, 476, 2412, 260, 540, 3987, 24412, 2154, 5711, 8069, 585, 25685, 1973, 7280, 1852, 267, 543, 930, 476, 2412, 260, 991, 7378, 24409, 269, 901, 9449, 729, 9678, 676, 12049, 20143, 645, 13589, 543, 8176, 7454, 538, 476, 4572, 272, 538, 4516, 269, 898, 19117, 519, 2126, 540, 3987, 543, 6604, 540, 922, 8374, 267, 13321, 7392, 476, 272, 3987, 689, 513, 14603, 2068, 547, 835, 538, 799, 1279, 3856, 6668, 2968, 24276, 563, 30048, 666, 581, 6743, 585, 676, 4152, 513, 10729, 3732, 585, 4006, 855, 585, 513, 5868, 267, 513, 1973, 3732, 568, 2838, 269, 901, 949, 581, 513, 2241, 6482, 540, 519, 4006, 1377, 267, 2356, 17509, 269, 17968, 267, 513, 1449, 1572, 606, 670, 321, 288, 272, 322, 666, 581, 1031, 799, 9193, 4006, 2157, 936, 519, 2250, 7008, 540, 3275, 269, 1403, 2576, 814, 6093, 2589, 540, 3987, 267, 1152, 513, 2582, 9402, 1449, 568, 2838, 269, 7316, 972, 616, 1100, 2589, 267, 513, 2034, 6166, 2218, 1449, 568, 2838, 269, 6884, 267, 3226, 538, 6379, 267, 513, 7280, 10892, 1449, 568, 5340, 799, 3322, 1973, 4255, 1354, 543, 476, 273, 3108, 1310, 513, 24494, 4235, 563, 17606, 779, 711, 899, 596, 12687, 909, 835, 1554, 543, 782, 540, 513, 6727, 596, 2461, 19818, 344, 267, 17237, 267, 543, 1496, 4707, 547, 519, 19880, 316, 782, 519, 942, 2223, 3081, 9253, 20811, 20717, 667, 984, 321, 1231, 267, 28251, 267, 513, 14468, 3987, 19829, 538, 13325, 543, 513, 22557, 17367, 585, 519, 1977, 5948, 540, 12128, 30451, 269, 968, 2005, 26717, 909, 7930, 1848, 11569, 267, 968, 2865, 1004, 616, 23387, 602, 789, 723, 3987, 538, 922, 2038, 610, 1256, 1647, 11775, 2223, 3081, 26826, 595, 2988, 612, 267, 11022, 267, 13930, 7548, 540, 4915, 693, 12370, 6481, 3427, 543, 5234, 10629, 693, 21280, 4802, 12128, 4741, 269, 3807, 1317, 596, 2461, 711, 1883, 539, 538, 3085, 1406, 1611, 596, 2461, 4761, 689, 2042, 2404, 609, 3987, 267, 646, 8591, 269, 634, 3476, 596, 979, 1510, 9013, 3987, 267, 519, 3152, 707, 1981, 585, 2295, 2068, 267, 8459, 2068, 267, 993, 1584, 566, 267, 21901, 267, 543, 824, 3978, 8374, 269, 968, 2171, 4363, 602, 1004, 609, 1981, 2188, 585, 3987, 267, 971, 607, 513, 1920, 1686, 610, 1373, 14968, 267, 1205, 11117, 593, 513, 2834, 4493, 2223, 3220, 269, 595, 2988, 612, 3081, 269, 1403, 596, 4076, 1044, 4743, 1055, 267, 2911, 547, 707, 4387, 827, 3478, 513, 2241, 1973, 1449, 602, 666, 13209, 519, 2068, 269, 1656, 2628, 3007, 547, 891, 11029, 4191, 543, 2589, 540, 3987, 563, 3080, 540, 519, 1034, 1455, 2081, 1004, 609, 1826, 476, 273, 3987, 3801, 547, 2539, 741, 1973, 4006, 568, 676, 20427, 4227, 741, 6981, 540, 19719, 269, 634, 5084, 288, 23216, 602, 19346, 10203, 568, 1898, 952, 596, 723, 3987, 267, 855, 3665, 11326, 899, 519, 29145, 2732, 267, 799, 6971, 16087, 6981, 547, 607, 2370, 607, 476, 276, 2600, 540, 707, 3232, 8477, 267, 666, 581, 19408, 585, 930, 1004, 609, 3987, 269, 630, 3607, 994, 288, 5312, 10894, 4524, 538, 799, 519, 946, 540, 19346, 568, 15176, 543, 602, 540, 20188, 543, 3940, 568, 8476, 269, 898, 568, 3361, 676, 606, 6207, 610, 3448, 10638, 540, 7378, 543, 568, 6353, 267, 538, 811, 4049, 2665, 267, 676, 5312, 5409, 16744, 20945, 267, 9848, 6523, 22202, 267, 1216, 543, 23386, 2530, 267, 27520, 29403, 2670, 267, 543, 635, 320, 269, 7043, 3856, 8374, 1331, 29302, 267, 30636, 14527, 267, 26669, 1886, 4331, 267, 20902, 28115, 894, 2242, 538, 1804, 543, 1507, 1973, 8043, 267, 543, 2799, 18687, 547, 3968, 563, 763, 4807, 779, 2597, 949, 849, 1404, 513, 1909, 269, 21744, 9449, 2157, 543, 2597, 2744, 616, 851, 540, 513, 2635, 6379, 267, 855, 1312, 2242, 1118, 621, 811, 2352, 585, 519, 1560, 547, 1832, 909, 609, 922, 991, 585, 7378, 269, 901, 949, 1291, 547, 29556, 3987, 269, 1306, 6379, 22264, 267, 519, 30302, 849, 7472, 7378, 1532, 24286, 10399, 267, 799, 1522, 1267, 538, 513, 4807, 779, 1973, 25322, 26651, 2157, 4742, 11506, 952, 972, 3884, 1406, 2614, 7378, 547, 4831, 713, 1198, 563, 297, 2794, 909, 9745, 1627, 848, 655, 267, 2549, 597, 282, 654, 2830, 267, 30227, 808, 5919, 918, 753, 698, 4673, 267, 1546, 7079, 282, 9710, 342, 3558, 267, 2961, 4471, 282, 31550, 267, 7812, 808, 5919, 1280, 322, 773, 320, 267, 6307, 7788, 630, 277, 4728, 476, 1001, 279, 1040, 834, 295, 655, 18331, 589, 28080, 1115, 585, 31946, 23303, 6513, 2060, 24103, 11043, 10657, 585, 6348, 2181, 3913, 656, 20661, 2060, 7392, 476, 273, 12128, 631, 749, 7978, 281, 589, 30334, 15048, 22352, 3245, 519, 1977, 5441, 540, 4284, 5974, 2668, 7788, 1023, 540, 18378, 6925, 269, 8222, 281, 1015, 269, 278, 3953, 277, 19072, 1704, 268, 6021, 274, 280, 563, 9336, 1591, 538, 519, 1480, 1560, 2115, 1648, 538, 1931, 547, 1599, 269, 634, 1560, 781, 3119, 1648, 2707, 568, 7280, 267, 513, 2241, 4006, 4611, 689, 519, 12536, 540, 3536, 5627, 11950, 630, 338, 1872, 1513, 543, 588, 2117, 1127, 1040, 3794, 26651, 689, 519, 2007, 6479, 1426, 6933, 919, 538, 519, 1973, 607, 513, 4712, 1648, 2707, 585, 1022, 2281, 602, 991, 621, 269, 6184, 6081, 568, 513, 9449, 610, 3114, 3812, 676, 2281, 538, 519, 18558, 267, 606, 1418, 4092, 3297, 519, 7181, 269, 6184, 6081, 7554, 547, 513, 13805, 3135, 593, 519, 3544, 540, 1591, 543, 6411, 899, 513, 1883, 547, 1930, 513, 7450, 3118, 883, 519, 1591, 998, 799, 7280, 666, 4283, 269, 2368, 540, 519, 7280, 666, 581, 10736, 547, 13671, 1648, 2959, 899, 25026, 4094, 610, 9761, 7408, 543, 10710, 585, 2663, 946, 269, 1879, 972, 568, 711, 2614, 7378, 3812, 610, 950, 519, 7450, 3118, 1100, 3476, 17767, 519, 7378, 1883, 267, 7280, 13978, 538, 519, 1973, 2864, 10024, 519, 2281, 563, 307, 1779, 609, 707, 4387, 827, 8220, 609, 513, 14468, 3987, 19829, 543, 8391, 3987, 1582, 31193, 2069, 269, 4804, 827, 1018, 547, 3548, 267, 1018, 707, 11955, 798, 267, 543, 875, 547, 1449, 707, 1973, 14836, 616, 1175, 930, 540, 519, 1919, 891, 2200, 666, 948, 609, 269, 30451, 666, 849, 7006, 601, 14868, 267, 1711, 7594, 4566, 267, 11282, 824, 7189, 20499, 585, 596, 267, 543, 6432, 547, 707, 2115, 269, 1358, 616, 8036, 547, 4001, 1210, 513, 3461, 19721, 1935, 269, 1358, 616, 707, 15156, 945, 20647, 538, 3987, 269, 9105, 707, 4387, 2221, 610, 979, 547, 519, 1977, 5948, 540, 12128, 30451, 3896, 547, 1265, 2576, 2282, 596, 269, 2142, 2386, 547, 1289, 707, 6142, 2754, 547, 1294, 952, 891, 2533, 616, 4988, 267, 1932, 563, 1103, 713, 1072, 1888, 267, 649, 1865, 5409, 16744, 23303, 5409, 657, 332, 6897, 1875, 8208, 5328, 6794, 630, 295, 295, 10064, 1070, 606, 5393, 3978, 28658, 602, 666, 1291, 547, 15847, 635, 320, 543, 1256, 2669, 538, 1826, 476, 273, 3987, 269, 901, 3978, 2783, 4386, 950, 519, 1973, 4006, 4991, 1932, 1164, 543, 519, 1560, 3587, 16094, 13204, 3603, 269, 1677, 2061, 670, 295, 10064, 543, 15847, 635, 320, 538, 1826, 476, 273, 3987, 267, 2638, 707, 1973, 4006, 5781, 607, 5227, 676, 707, 1072, 1416, 8502, 282, 2638, 707, 1973, 4006, 811, 4749, 950, 596, 616, 7210, 267, 4235, 7899, 540, 12862, 267, 543, 4585, 585, 4191, 540, 18024, 269, 0, 30048, 22577, 568, 513, 2783, 538, 799, 519, 18558, 1100, 3476, 7472, 2614, 7378, 610, 2281, 3247, 14775, 547, 519, 7378, 602, 568, 3812, 267, 865, 602, 7280, 538, 519, 1973, 3112, 581, 12842, 883, 519, 2281, 540, 519, 1560, 269, 12580, 1331, 7928, 30614, 267, 29723, 1173, 344, 267, 7050, 19818, 267, 543, 14000, 269, 634, 2126, 2882, 2242, 538, 2732, 267, 5711, 6527, 267, 543, 538, 930, 2665, 267, 3232, 24409, 540, 7378, 563, 15447, 1578, 568, 1379, 269, 589, 14468, 3987, 19829, 666, 1683, 596, 609, 3987, 1582, 31193, 2069, 269, 1358, 20647, 538, 3987, 543, 666, 948, 596, 1451, 827, 7294, 610, 4443, 1919, 269, 1280, 1383, 267, 789, 666, 948, 596, 1305, 909, 707, 7280, 11281, 267, 4001, 596, 827, 875, 707, 11955, 960, 267, 610, 948, 596, 2322, 1927, 513, 7594, 1544, 269, 1411, 666, 2743, 609, 873, 835, 593, 835, 610, 538, 1895, 4259, 563, 13911, 476, 273, 3987, 281, 7392, 476, 273, 3987, 5540, 519, 1259, 519, 1560, 3096, 7378, 269, 2755, 519, 1560, 1869, 2306, 7378, 267, 7429, 538, 1826, 594, 267, 519, 2281, 538, 519, 1560, 798, 711, 4431, 547, 621, 607, 3927, 607, 789, 2899, 1705, 269, 901, 568, 519, 1034, 1455, 1826, 540, 3987, 267, 2687, 547, 519, 2817, 4659, 540, 12128, 543, 6226, 24304, 543, 26640, 15302, 267, 543, 621, 814, 2178, 6402, 609, 8377, 563, 30048, 666, 581, 2182, 2614, 607, 621, 568, 267, 865, 798, 1018, 596, 666, 547, 1118, 1272, 609, 621, 1447, 7294, 269, 1280, 1383, 267, 596, 1810, 1405, 723, 547, 581, 513, 4487, 27697, 547, 2322, 1927, 513, 2635, 7594, 269, 1411, 666, 946, 5820, 602, 616, 1318, 538, 707, 1753, 269, 1403, 596, 1265, 707, 6646, 20786, 547, 581, 1932, 1950, 610, 1932, 7199, 267, 7662, 602, 707, 10629, 1689, 621, 269, 1403, 596, 3136, 547, 7340, 547, 1491, 707, 11955, 267, 1265, 2241, 2081, 547, 948, 596, 1491, 873, 267, 899, 4259, 513, 12576, 593, 707, 1591, 6049, 563, 7093, 3685, 543, 2126, 4125, 4509, 513, 2635, 2732, 267, 2834, 2168, 3635, 267, 513, 3339, 1560, 2597, 267, 543, 9319, 946, 540, 10269, 269, 6513, 540, 1973, 2604, 543, 4509, 1697, 3723, 1416, 616, 1271, 585, 1004, 609, 519, 2068, 269, 7392, 476, 272, 20336, 1590, 581, 7307, 609, 7378, 24409, 269, 7392, 476, 273, 20336, 949, 581, 5701, 609, 6527, 609, 610, 1510, 7378, 269, 6184, 6081, 543, 930, 5711, 6527, 666, 2014, 1970, 1973, 4006, 269, 13379, 2530, 6391, 538, 1346, 609, 8377, 568, 3006, 606, 2500, 2268, 538, 1346, 609, 1826, 476, 273, 20336, 269, 30123, 1049, 3987, 2356, 5543, 1407, 1310, 519, 4332, 540, 519, 4816, 563, 13911, 476, 273, 20336, 568, 6353, 676, 7378, 4187, 267, 799, 949, 581, 5916, 609, 5266, 4389, 7378, 21131, 269, 634, 26843, 30506, 540, 1560, 8031, 547, 7378, 568, 5156, 547, 4125, 519, 7378 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 273, 2462, 543, 476, 273, 1507, 1700, 538, 1200, 29606, 269, 1879, 1352, 7959, 11784, 4947, 1352, 12662, 1079, 1507, 3283, 538, 1200, 1688, 543, 519, 476, 273, 1804, 3283, 593, 1250, 2539, 1394, 269, 968, 2252, 707, 2295, 568, 2731, 17040, 543, 707, 7244, 568, 3983, 267, 594, 1131, 2303, 2921, 519, 835, 593, 707, 17987, 543, 27012, 621, 689, 519, 1647, 540, 707, 9221, 1524, 547, 519, 5377, 540, 707, 17987, 267, 7444, 267, 543, 936, 543, 936, 2394, 707, 2295, 2557, 6238, 547, 544, 3641, 630, 1478, 707, 25099, 267, 540, 1576, 268, 596, 1810, 1406, 1616, 547, 1118, 3054, 16171, 32656, 594, 1745, 899, 950, 594, 798, 713, 267, 621, 12777, 7575, 519, 5409, 1648, 1524, 689, 1250, 9221, 543, 10970, 28179, 1022, 9221, 1928, 269, 901, 1505, 2141, 2337, 803, 950, 621, 7959, 899, 1250, 2295, 568, 538, 1250, 11563, 269, 4495, 596, 1745, 607, 1498, 596, 666, 13236, 1586, 267, 1747, 519, 24502, 593, 707, 2539, 17987, 610, 2539, 1394, 267, 543, 538, 519, 27374, 540, 707, 3946, 269, 594, 1810, 1406, 917, 952, 621, 779, 2604, 2798, 855, 8066, 1507, 5347, 4672, 24502, 538, 1312, 3946, 609, 27374, 909, 267, 1281, 13300, 585, 1250, 11784, 267, 547, 713, 1554, 3034, 296, 1589, 594, 1185, 606, 4160, 4323, 519, 824, 1554, 267, 855, 594, 6557, 711, 2386, 269, 594, 729, 693, 519, 9413, 543, 5433, 18901, 267, 899, 1945, 610, 2576, 729, 2469, 547, 4323, 803, 269, 594, 22755, 1753, 543, 5433, 899, 594, 729, 18901, 540, 519, 4158, 543, 729, 2348, 8373, 7244, 543, 2519, 593, 6117, 269, 2991, 21177, 1055, 1250, 536, 325, 543, 6117, 1753, 267, 594, 3323, 24986, 543, 5409, 1203, 559, 908, 267, 543, 5433, 1033, 3737, 689, 519, 1158, 267, 899, 4986, 20974, 1229, 267, 543, 5433, 899, 594, 729, 2469, 547, 5884, 269, 898, 3576, 803, 1079, 3108, 547, 2887, 18069, 543, 594, 1185, 3781, 2742, 637, 269, 634, 12558, 729, 936, 676, 6640, 267, 855, 594, 6557, 7255, 602, 621, 786, 4755, 1586, 563, 2304, 4160, 610, 11784, 4323, 1419, 2501, 593, 10393, 267, 609, 2589, 890, 1136, 1369, 476, 1015, 3764, 269, 1280, 7189, 547, 13209, 513, 11784, 4323, 267, 789, 1413, 585, 693, 2547, 2185, 540, 519, 1739, 4191, 281, 24852, 267, 1726, 3387, 1782, 267, 26032, 540, 7362, 267, 513, 669, 3183, 14815, 267, 9221, 1928, 267, 15353, 267, 21994, 267, 4250, 540, 9561, 707, 2247, 267, 4250, 540, 12955, 267, 4743, 3905, 610, 4411, 267, 31018, 610, 32688, 267, 513, 17040, 2295, 630, 24711, 27621, 14591, 1070, 543, 4743, 29099, 1033, 3737, 689, 3054, 563, 5629, 519, 11784, 4323, 568, 936, 543, 519, 1268, 814, 8120, 547, 513, 9350, 1533, 267, 5000, 873, 547, 3343, 948, 689, 513, 2790, 1072, 3318, 693, 741, 9998, 13418, 267, 952, 789, 10093, 1406, 2907, 269, 1411, 666, 948, 873, 2417, 676, 21528, 609, 519, 3406, 585, 513, 13931, 3318, 267, 15388, 12003, 2553, 2228, 267, 543, 3168, 585, 1582, 25298, 2835, 602, 1522, 581, 3730, 563, 1103, 713, 3390, 11473, 10131, 910, 15267, 267, 12322, 543, 2790, 1072, 4065, 10554, 910, 10076, 2657, 9142, 7991, 5031, 281, 1715, 19839, 1873, 1157, 1153, 13102, 8080, 547, 1776, 7160, 540, 519, 24635, 26045, 10890, 3820, 22062, 566, 1107, 513, 1747, 1141, 649, 1683, 1344, 593, 4755, 902, 538, 519, 1858, 540, 6107, 2790, 1072, 269, 18461, 1863, 547, 6443, 519, 6643, 676, 4687, 2055, 267, 5955, 267, 30385, 2639, 306, 532, 619, 589, 686, 3570, 9835, 324, 267, 15248, 717, 15676, 267, 543, 17286, 6511, 717, 727, 345, 616, 1175, 513, 1906, 28245, 945, 723, 9275, 856, 827, 741, 2790, 1072, 9620, 269, 1809, 676, 1565, 547, 5431, 741, 2589, 540, 4160, 267, 4965, 267, 543, 824, 2152, 267, 543, 538, 1082, 2665, 5275, 3318, 948, 267, 891, 3669, 2125, 616, 711, 1152, 2111, 547, 1732, 4308, 609, 741, 2175, 267, 855, 547, 3136, 547, 8853, 538, 19220, 540, 873, 563, 3383, 594, 666, 2995, 596, 602, 11784, 6285, 5749, 1405, 5906, 267, 855, 594, 5431, 602, 713, 568, 834, 324, 6470, 585, 803, 547, 2161, 2668, 1403, 596, 2811, 2348, 4160, 6285, 267, 2523, 952, 789, 2811, 513, 5266, 1007, 12136, 585, 596, 267, 596, 1522, 711, 581, 2111, 547, 3494, 713, 1318, 1631, 269, 2334, 781, 7357, 24669, 950, 596, 1745, 602, 707, 1272, 568, 12219, 256, 1411, 1810, 1405, 991, 547, 1491, 4376, 1934, 593, 5132, 269, 5502, 267, 2638, 621, 782, 856, 269, 4530, 3388, 594, 2161, 1996, 707, 1378, 1995, 267, 607, 596, 960, 707, 1259, 998, 713, 3135, 563, 2026, 568, 519, 2013, 519, 811, 20902, 3029, 540, 1514, 4160, 267, 954, 16766, 4160, 814, 8965, 267, 5042, 267, 543, 28146, 2360, 269, 1280, 3236, 267, 4679, 538, 28176, 4393, 543, 16866, 1344, 4393, 666, 2049, 950, 4160, 568, 1164, 269, 11569, 267, 971, 568, 5812, 609, 1644, 960, 593, 18906, 1308, 9186, 538, 17697, 3965, 269, 3958, 2487, 1382, 814, 1336, 602, 17697, 7292, 20241, 630, 328, 4318, 269, 13128, 11830, 5367, 8456, 264, 666, 581, 28659, 1282, 954, 16766, 5872, 269, 20134, 2833, 723, 1044, 11609, 538, 6721, 711, 1152, 2942, 6788, 267, 855, 849, 2057, 656, 267, 610, 21087, 2065, 267, 2623, 971, 607, 29383, 269, 5015, 267, 950, 3379, 547, 4160, 2157, 543, 5042, 4674, 630, 324, 3052, 1421, 12705, 2359, 543, 1582, 1790, 19948, 264, 538, 703, 4048, 4981, 8658, 267, 2157, 543, 22930, 540, 2200, 949, 581, 28978, 538, 519, 954, 16766, 3510, 563, 2791, 949, 1995, 835, 610, 811, 11784, 6285, 267, 2943, 581, 6382, 9985, 6126, 543, 2635, 269, 2107, 707, 11784, 6285, 949, 2049, 607, 851, 540, 1776, 4524, 267, 971, 607, 11784, 4524, 267, 1514, 943, 14113, 267, 610, 4965, 269, 17859, 540, 519, 2014, 267, 11784, 6285, 616, 1521, 762, 269, 1703, 616, 2994, 596, 666, 946, 547, 11883, 609, 519, 2589, 607, 1134, 607, 2500, 5574, 563, 2171, 723, 782, 5433, 4160, 9789, 8401, 1145, 1354, 513, 4266, 267, 1449, 267, 6735, 267, 6881, 28559, 1018, 4010, 568, 621, 286, 17520, 568, 938, 1560, 781, 1259, 540, 8600, 547, 3068, 513, 4161, 269, 3776, 2295, 15450, 811, 1973, 543, 5135, 865, 649, 616, 4712, 585, 2962, 269, 1284, 616, 10332, 543, 1685, 2168, 543, 3929, 4247, 811, 7561, 269, 630, 8450, 849, 4530, 17520, 585, 4388, 593, 7231, 609, 4255, 8094, 296, 11760, 602, 26432, 2657, 786, 946, 1250, 1344, 547, 1683, 552, 21158, 24393, 543, 6725, 269, 594, 1174, 594, 666, 11198, 10479, 585, 713, 693, 1022, 942, 676, 14467, 519, 5667, 889, 18285, 3095, 538, 519, 3723, 518, 540, 1022, 4757, 594, 4309, 689, 26432, 2657, 269, 26432, 2657, 3096, 3791, 5428, 3028, 7426, 899, 25357, 2419, 11069, 267, 8835, 5680, 7896, 267, 681, 2931, 10628, 267, 543, 8629, 299, 11274, 15278, 630, 332, 24248, 1070, 547, 4558, 1239, 269, 3733, 1344, 949, 581, 11843, 547, 519, 27069, 3028, 7426, 630, 528, 824, 2147, 2533, 264, 585, 4393, 538, 13076, 609, 741, 7834, 4507, 563, 5278, 1382, 2982, 602, 1004, 945, 723, 2673, 543, 11215, 17052, 723, 513, 3152, 2702, 547, 4339, 2790, 543, 2168, 3676, 982, 1004, 945, 616, 9678, 269, 634, 2247, 666, 581, 938, 10782, 10546, 950, 4743, 14221, 543, 2348, 513, 11215, 3060, 602, 596, 666, 1865, 543, 10920, 12304, 707, 27811, 19048, 547, 1223, 948, 2061, 4160, 689, 10438, 707, 1272, 269, 4855, 11967, 2828, 1282, 2053, 540, 4160, 602, 596, 666, 1930, 909, 547, 543, 917, 602, 789, 786, 1683, 513, 6947, 1274, 543, 11215, 5955, 827, 707, 2833, 563, 14197, 1242, 17520, 13081, 630, 294, 4696, 264, 568, 6353, 676, 5312, 543, 27105, 5855, 543, 8082, 267, 1454, 811, 982, 519, 6093, 4160, 602, 1034, 1004, 1995, 538, 741, 3232, 2729, 269, 4658, 949, 723, 1726, 3387, 1782, 267, 1000, 26677, 267, 4887, 8082, 267, 15353, 267, 29338, 267, 4057, 5834, 267, 4965, 267, 9854, 267, 14331, 267, 1769, 32567, 1145, 267, 7362, 16531, 610, 3905, 30303, 563, 2467, 616, 1079, 1360, 1271, 4808, 547, 1589, 827, 267, 11735, 689, 2589, 269, 1452, 616, 8653, 540, 2589, 543, 1377, 540, 15717, 269, 17520, 568, 513, 3339, 5114, 547, 17173, 3871, 267, 543, 1256, 1164, 2157, 540, 4160, 666, 581, 2635, 543, 6225, 693, 2053, 269, 15136, 616, 1152, 1459, 950, 4160, 2589, 2063, 585, 1896, 4374, 547, 3275, 543, 3648, 15936, 609, 1169, 1554, 1599, 610, 2014, 1279, 18835, 11605, 563, 10932, 2390, 10708, 945, 607, 12256, 1185, 1044, 3810, 31536, 633, 267, 21713, 267, 543, 31604, 9060, 602, 741, 13540, 934, 3518, 839, 568, 811, 6213, 982, 602, 538, 824, 1004, 950, 14045, 547, 1118, 606, 2962, 602, 5462, 2436, 789, 4607, 513, 8007, 269, 901, 5267, 513, 3095, 1063, 11387, 3743, 585, 4250, 543, 849, 8007, 538, 14221, 1004, 269, 1306, 3173, 4063, 267, 834, 320, 2631, 540, 1412, 22529, 2225, 3299, 610, 1582, 268, 698, 1890, 267, 538, 513, 2796, 540, 10462, 630, 22238, 8494, 2065, 4093, 264, 11479, 519, 8849, 1062, 5817, 12608, 1438, 8404, 630, 328, 4318, 1421, 13540, 934, 3518, 839, 264, 811, 9244, 538, 29525, 958, 7409, 1243, 982, 1875, 514, 3031, 1243, 10708, 8487, 21837, 667, 269, 31293, 15565, 7244, 5751, 585, 1346, 7092, 689, 4160, 269, 2290, 971, 7244, 3635, 568, 513, 476, 276, 268, 273, 268, 276, 1293, 269, 4635, 519, 7181, 630, 528, 29690, 28931, 663, 711, 519, 9221, 24568, 327, 1446, 630, 10623, 601, 519, 7181, 2097, 856, 267, 607, 10353, 547, 519, 9221, 9750, 264, 585, 476, 276, 7643, 269, 1306, 519, 31062, 1448, 693, 32480, 568, 6603, 267, 3180, 519, 7362, 585, 476, 273, 7643, 269, 3973, 7444, 17938, 1446, 267, 936, 476, 276, 7643, 269, 19244, 713, 4783, 7466, 543, 1287, 13236, 1412, 17884, 958, 262, 585, 476, 276, 9979, 630, 272, 4783, 815, 476, 272, 11375, 1446, 1341, 476, 272, 17938, 1446, 1040, 634, 1448, 568, 547, 1445, 593, 519, 7244, 543, 6001, 519, 2295, 2557, 269, 8617, 26202, 15122, 7244, 949, 581, 6913, 676, 14178, 519, 856, 321, 805, 327, 676, 10203, 610, 23832, 563, 2252, 596, 2461, 7680, 513, 2603, 540, 2168, 4160, 2589, 267, 596, 1058, 1376, 676, 3478, 513, 2564, 2638, 1575, 269, 2659, 4387, 666, 2638, 547, 1118, 2386, 602, 707, 4160, 3884, 1406, 3361, 676, 513, 2564, 2783, 267, 971, 607, 513, 11178, 1966, 267, 31202, 20945, 267, 610, 10447, 269, 4595, 1978, 5061, 543, 9360, 666, 2014, 4160, 267, 707, 4387, 786, 849, 1616, 547, 917, 827, 1022, 1095, 18587, 267, 936, 7308, 23716, 6527, 267, 16909, 14319, 267, 543, 16351, 5061, 596, 2461, 2921, 563, 763, 17520, 543, 12870, 5948, 540, 3013, 630, 4696, 8150, 264, 568, 606, 3486, 18758, 15376, 3919, 630, 5976, 811, 982, 476, 272, 267, 8517, 3318, 2790, 1072, 2818, 264, 543, 513, 6205, 538, 2069, 267, 2866, 267, 543, 1382, 585, 4160, 267, 4965, 543, 1644, 4713, 269, 2859, 982, 476, 4343, 2929, 1004, 689, 1472, 519, 1158, 3643, 519, 5084, 8150, 3896, 12422, 547, 1265, 1699, 2126, 543, 1382, 1344, 543, 547, 1569, 1863, 2200, 543, 1489, 269, 8625, 649, 616, 4657, 2729, 269, 8080, 2336, 2691, 649, 1995, 606, 32246, 1164, 4110, 2566, 3210, 267, 519, 17915, 666, 581, 865, 7096, 602, 649, 1589, 649, 616, 2348, 513, 2564, 6595, 267, 799, 14221, 14789, 666, 2746, 547, 609, 811, 4250, 269, 1656, 950, 649, 1831, 811, 12922, 267, 519, 1560, 568, 2469, 547, 3132, 1776, 2566, 3210, 267, 799, 3123, 811, 2242, 267, 799, 649, 666, 2746, 547, 609, 811, 4250, 267, 543, 865, 593, 269, 0, 2304, 5665, 1062, 610, 13013, 568, 513, 3301, 1982, 602, 6087, 519, 2780, 8800, 547, 5968, 543, 7500, 609, 519, 2780, 3301, 269, 9453, 513, 2780, 5665, 1062, 267, 513, 2780, 543, 3301, 3292, 1131, 581, 24631, 269, 1323, 1383, 540, 606, 5665, 1062, 1131, 581, 9786, 8837, 563, 1103, 713, 1382, 267, 649, 786, 979, 1524, 513, 5618, 1686, 540, 12380, 267, 606, 1930, 21299, 5665, 1062, 543, 1287, 547, 1294, 519, 1699, 1646, 540, 1930, 21299, 1299, 28106, 5665, 1949, 269, 1284, 786, 1287, 979, 998, 519, 4720, 540, 5665, 1949, 543, 1294, 513, 6476, 1063, 606, 1930, 2707, 1299, 28106, 5665, 1949, 563, 14532, 540, 12380, 454, 763, 1101, 13653, 540, 700, 2562, 308, 311, 729, 513, 812, 3957, 6931, 639, 3267, 1613, 1647, 540, 519, 3561, 2483, 14946, 539, 1299, 7856, 676, 9786, 454, 20376, 12053 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8186, 1115, 267, 1983, 267, 1299, 2623, 1689, 602, 5397, 2773, 563, 18439, 875, 14568, 10000, 13462, 547, 707, 4295, 1870, 1949, 563, 30395, 3401, 602, 17108, 2319, 2773, 543, 6278, 563, 4462, 6674, 2773, 1761, 693, 4336, 609, 3642, 14617, 26940, 2208, 15322, 563, 30395, 6043, 267, 1134, 5630, 543, 22231, 547, 5397, 2773, 2066, 707, 3003, 13055, 563, 9558, 845, 707, 1870, 267, 4358, 609, 707, 6455, 3401, 563, 4462, 6674, 1870, 1764, 689, 519, 1283, 609, 10324, 18006, 563, 293, 8803, 513, 2528, 540, 10014, 543, 10362, 563, 10907, 5120, 622, 519, 2773, 543, 1761, 540, 707, 8041, 543, 5520, 563, 8450, 875, 5499, 3906, 946, 14568, 10000, 547, 1628, 513, 14762, 13781, 563, 20524, 875, 14568, 10000, 1687, 12350, 569, 5222, 1883, 1870, 4093, 585, 3906, 899, 16523, 563, 288, 1629, 334, 568, 519, 1101, 1900, 547, 13321, 707, 1870, 269, 20821, 609, 721, 547, 1020, 513, 1544, 585, 1140, 8724, 707, 3853, 563, 268, 1280, 15706, 454, 16032, 2853, 267, 1382, 267, 543, 2645, 547, 4492, 967, 328, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 20245, 15348, 257, 607, 851, 540, 834, 303, 27773, 13316, 1315, 2622, 1315, 4937, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 4495, 2390, 513, 942, 267, 538, 513, 1507, 4884, 3957, 12157, 16072, 6807, 267, 5030, 2947, 2370, 2828, 281, 700, 6210, 267, 4446, 25206, 267, 3619, 310, 320, 267, 13225, 698, 300, 559, 267, 543, 670, 4660, 328, 269, 1358, 782, 6068, 4730, 1927, 543, 2469, 593, 9035, 269, 3962, 835, 1185, 513, 2027, 13007, 602, 1500, 873, 2189, 780, 299, 6210, 729, 1634, 585, 1010, 2702, 547, 7001, 4190, 8090, 609, 1010, 8254, 269, 1261, 6045, 547, 1010, 2828, 875, 1769, 12599, 538, 2786, 3515, 267, 543, 950, 621, 8813, 593, 3615, 267, 930, 536, 25555, 1394, 2870, 20224, 1247, 1866, 4283, 519, 1843, 543, 2992, 4758, 721, 4778, 269, 901, 9059, 540, 8279, 543, 20224, 5280, 1864, 1118, 1169, 7406, 1413, 9589, 780, 21574, 25206, 1223, 1294, 1919, 2484, 2476, 811, 5693, 982, 4896, 3116, 269, 3571, 4064, 941, 899, 3532, 24985, 602, 1223, 24680, 883, 11397, 5396, 269, 2060, 7279, 267, 646, 3838, 609, 519, 1895, 602, 938, 4064, 616, 14393, 31397, 8219, 282, 789, 948, 721, 13498, 3178, 543, 3845, 676, 9236, 1079, 5594, 1114, 2592, 4607, 689, 1142, 3750, 780, 7883, 310, 320, 1185, 606, 9058, 2631, 540, 4287, 1813, 547, 799, 646, 2760, 3893, 4503, 1256, 538, 10053, 7733, 610, 22125, 4872, 269, 1261, 5143, 3025, 827, 7851, 543, 10974, 267, 3450, 873, 602, 3618, 568, 5258, 883, 16494, 21870, 1572, 4234, 6421, 543, 1279, 6421, 267, 3850, 721, 547, 22942, 3169, 6753, 780, 289, 327, 698, 300, 559, 729, 19832, 676, 5163, 543, 3432, 269, 2701, 1031, 1200, 3247, 31296, 547, 2268, 875, 3728, 789, 1223, 2196, 1472, 741, 5172, 19209, 3529, 269, 2290, 1554, 1352, 4280, 267, 834, 2710, 596, 917, 1946, 649, 666, 1152, 1294, 513, 7077, 952, 621, 781, 1164, 909, 538, 519, 6607, 8119, 4173, 3659, 3533, 14452, 9811, 1317, 540, 922, 4463, 256, 1809, 13225, 698, 300, 559, 22621, 6031, 1100, 267, 2965, 1813, 547, 5133, 267, 3615, 2408, 4130, 950, 2938, 689, 7192, 541, 780, 15563, 267, 972, 729, 670, 4660, 328, 267, 4171, 10772, 8604, 22934, 547, 4584, 909, 2571, 26866, 619, 5103, 10978, 4478, 6846, 269, 4635, 3621, 2474, 267, 1352, 4330, 3280, 6329, 10707, 998, 2011, 267, 8506, 6675, 547, 5854, 622, 543, 4163, 1648, 2394, 621, 10301, 938, 552, 731, 337, 4548, 780, 3080, 13566, 12784, 267, 1282, 835, 540, 741, 29293, 267, 789, 16686, 2390, 513, 12357, 13946, 13675, 6456, 3297, 1216, 17517, 269, 19196, 1243, 267, 789, 4956, 547, 14679, 3330, 269, 1717, 267, 1510, 9963, 267, 5394, 20893, 4904, 519, 1309, 591, 333, 25848, 1005, 15287, 269, 2480, 1563, 2943, 5462, 267, 789, 15422, 741, 4121, 1983, 910, 700, 6210, 2219, 827, 2519, 1769, 12345, 1210, 19141, 267, 4446, 25206, 6836, 547, 4188, 1010, 5075, 547, 2759, 998, 519, 5134, 267, 3619, 310, 320, 6700, 10188, 3842, 16079, 4087, 267, 13225, 698, 300, 559, 6069, 3001, 7444, 4509, 3308, 3346, 609, 1142, 824, 267, 543, 670, 4660, 328, 5227, 6947, 5702, 585, 4992, 10630, 1055, 6821, 269, 1325, 553, 267, 9039, 5249, 3927, 1996, 519, 1266, 5285, 532, 688, 2763, 780, 11514, 1952, 31212, 855, 8797, 267, 789, 7691, 602, 4352, 14350, 16805, 267, 5698, 28659, 741, 5759, 269, 2755, 3695, 2470, 781, 13300, 267, 789, 12247, 539, 2141, 547, 6529, 1927, 267, 9001, 741, 7104, 1702, 543, 2833, 585, 10930, 15322, 6619, 269, 2991, 782, 267, 1620, 2257, 3884, 1405, 8806, 16565, 1367, 4773, 540, 1344, 282, 3079, 267, 621, 781, 1565, 875, 891, 3334, 2170, 543, 9148, 1142, 824, 267, 1454, 899, 3020, 11505, 269, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 29205, 596, 4363, 1022, 4095, 9413, 602, 723, 4465, 17758, 585, 741, 14557, 14670, 2762, 888, 8133, 267, 607, 606, 3642, 1893, 2203, 594, 1131, 899, 547, 4363, 519, 1739, 4095, 9413, 602, 723, 4465, 17758, 585, 741, 14557, 14670, 2762, 1384, 272, 269, 700, 15676, 534, 630, 1220, 272, 264, 910, 6034, 539, 676, 12891, 583, 9655, 717, 578, 926, 12027, 267, 519, 7260, 4465, 1896, 17758, 1519, 7454, 28037, 14670, 2762, 693, 519, 2817, 17912, 22952, 780, 273, 269, 4446, 25206, 256, 630, 1001, 273, 264, 910, 6034, 539, 676, 1323, 3120, 326, 5178, 340, 267, 519, 7260, 4465, 519, 7454, 28037, 14670, 2762, 8366, 693, 519, 17912, 11071, 22952, 780, 274, 269, 717, 836, 338, 540, 12984, 572, 2988, 584, 630, 1001, 273, 264, 910, 6034, 539, 676, 1323, 3120, 326, 918, 553, 1506, 777, 267, 519, 7260, 4465, 519, 7454, 28037, 14670, 2762, 8366, 693, 519, 7489, 17912, 22952, 780, 275, 269, 645, 3873, 698, 22447, 3873, 645, 3873, 698, 630, 1001, 274, 264, 910, 6034, 539, 676, 681, 820, 903, 327, 744, 5404, 21531, 1662, 2725, 31137, 267, 519, 7260, 4465, 519, 7454, 28037, 14670, 2762, 8366, 693, 519, 4139, 4095, 17912, 9142, 22952, 780, 276, 269, 12794, 3187, 630, 1001, 275, 264, 910, 6034, 539, 676, 31155, 531, 13225, 731, 342, 1690, 267, 519, 7260, 4465, 519, 7454, 28037, 14670, 2762, 8366, 693, 519, 2817, 17912, 22952, 14325, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 563, 268, 16992, 543, 5188, 281, 1711, 12300, 3197, 945, 4497, 538, 6209, 7391, 267, 4543, 547, 2491, 543, 2263, 519, 2257, 2035, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 269, 0, 8535, 2773, 2259, 568, 513, 4105, 2460, 540, 2575, 6044, 602, 6212, 593, 519, 7664, 543, 6881, 540, 7574, 1568, 269, 898, 13315, 1585, 2553, 543, 4485, 6322, 693, 8744, 856, 519, 2407, 1761, 540, 513, 4062, 540, 2575, 1247, 6967, 3020, 547, 922, 3140, 543, 2686, 2796, 269, 769, 713, 1576, 1770, 267, 649, 786, 2263, 875, 2575, 2773, 2259, 12211, 547, 20209, 1878, 543, 11028, 4290, 9911, 267, 1210, 519, 960, 540, 3220, 269, 3627, 589, 269, 654, 573, 339, 810, 324, 607, 938, 13057, 6240, 269, 1284, 786, 4983, 875, 15819, 543, 5275, 4267, 666, 1291, 547, 4514, 1620, 543, 1732, 2773, 2853, 780, 272, 269, 4197, 8466, 12745, 454, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 18128, 573, 1878, 543, 26532, 4290, 9911, 454, 288, 1749, 547, 18321, 538, 513, 7073, 4303, 454, 11990, 589, 269, 654, 573, 339, 810, 324, 454, 20486, 2097, 883, 1373, 538, 1082, 1114, 2081, 1765, 16341, 1317, 5830, 3442, 547, 2328, 267, 543, 930, 267, 899, 713, 835, 267, 1317, 3988, 1118, 1202, 11962, 7569, 563, 9961, 1010, 3318, 1272, 607, 10196, 267, 19829, 267, 1857, 22700, 267, 543, 5939, 2006, 12544, 13747, 543, 3592, 796, 29207, 341, 2406, 9867, 4876, 2469, 1394, 5176, 3368, 513, 2540, 1765, 7804, 269, 3627, 589, 269, 654, 573, 339, 810, 324, 814, 1044, 8391, 2055, 689, 11821, 543, 10332, 543, 9237, 543, 11235, 1053, 1765, 29324, 540, 1272, 267, 1053, 540, 519, 22258, 267, 543, 1053, 7722, 538, 6101, 4081, 18697, 269, 1452, 2055, 723, 2097, 676, 4484, 267, 538, 5783, 19771, 267, 689, 519, 5692, 2361, 267, 538, 519, 4928, 267, 543, 593, 13016, 14026, 563, 5278, 1296, 3516, 3220, 269, 654, 573, 339, 810, 324, 3459, 547, 1118, 8628, 2594, 540, 971, 2055, 607, 789, 3357, 547, 1864, 543, 267, 4098, 5176, 2947, 1296, 3516, 267, 547, 2626, 538, 1820, 538, 519, 3817, 540, 519, 26094, 16527, 1346, 1034, 6414, 1836, 543, 1034, 4749, 4280, 269, 834, 18128, 573, 1878, 543, 26532, 4290, 9911, 257, 729, 519, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 631, 4785, 2975, 1315, 19019, 1299, 5530, 1315, 9828, 1315, 13437, 6657, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 13488, 5675, 543, 16709, 15881, 2510, 692, 8702, 267, 27093, 3988, 256, 5620, 596, 2479, 26927, 3139, 540, 3695, 1007, 3338, 267, 12423, 6456, 16782, 267, 610, 5870, 4241, 1004, 689, 1114, 4529, 286, 10801, 1686, 267, 972, 723, 1044, 12703, 2367, 543, 2021, 945, 24389, 593, 6909, 15322, 547, 11397, 4025, 543, 3838, 741, 2833, 998, 2951, 1603, 543, 3408, 6386, 269, 2913, 781, 4685, 883, 713, 13858, 5339, 9135, 1927, 2439, 1432, 616, 2951, 1603, 543, 3408, 6386, 888, 24801, 13430, 5331, 2542, 827, 2576, 781, 3460, 2066, 5318, 12084, 267, 998, 10053, 7733, 267, 610, 936, 26009, 7823, 9832, 269, 2334, 781, 4010, 1018, 2951, 1603, 543, 3408, 6386, 2709, 256, 1452, 2984, 2285, 721, 20250, 6589, 540, 17701, 262, 9035, 607, 789, 14679, 883, 17946, 14975, 11182, 269, 1358, 2671, 13341, 609, 3309, 9082, 267, 7320, 267, 8916, 267, 543, 3504, 12977, 602, 1906, 1185, 2938, 1354, 269, 3414, 891, 6386, 267, 649, 666, 1451, 827, 1585, 4529, 267, 5389, 267, 543, 2081, 540, 1272, 602, 8428, 7494, 689, 938, 1378, 780, 18698, 4516, 781, 2250, 998, 2951, 1603, 454, 14343, 19030, 28657, 267, 835, 540, 519, 4102, 2477, 538, 519, 1158, 267, 814, 922, 4023, 2671, 540, 9159, 3408, 6386, 269, 3864, 13896, 543, 6805, 2950, 7567, 8329, 547, 519, 3638, 13795, 540, 8225, 8941, 269, 1306, 2038, 607, 519, 3735, 476, 1428, 628, 2540, 267, 7969, 4044, 1807, 3627, 16410, 582, 5206, 827, 1010, 22116, 547, 1715, 11398, 1633, 267, 10503, 519, 10731, 13278, 344, 2200, 646, 11402, 269, 6271, 4583, 1383, 568, 12138, 27963, 20044, 773, 781, 2272, 540, 1010, 476, 9965, 280, 16939, 2059, 519, 5757, 602, 1631, 12217, 1010, 2012, 1107, 519, 22800, 27963, 20044, 773, 5211, 269, 3571, 12667, 11673, 540, 519, 5251, 543, 4205, 609, 5065, 11031, 1683, 3407, 4030, 883, 840, 9762, 716, 3345, 3013, 780, 3963, 941, 3408, 6386, 1271, 888, 14343, 7042, 30509, 689, 5356, 10578, 8941, 540, 7045, 267, 3408, 6386, 5129, 1898, 5107, 538, 5935, 7239, 543, 6082, 269, 1635, 4687, 741, 7422, 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 ]
[ 267, 950, 596, 12446, 267, 596, 5469, 6266, 540, 16445, 10876, 256, 5502, 540, 4743, 13347, 610, 24937, 519, 1966, 267, 4952, 1210, 707, 16012, 2825, 626, 1983, 269, 1411, 1223, 10891, 513, 30749, 2680, 609, 707, 25097, 267, 4001, 1866, 827, 9657, 267, 543, 1256, 2303, 9544, 5065, 5810, 547, 4482, 17984, 543, 5017, 269, 6423, 875, 1373, 3222, 540, 707, 10450, 5012, 547, 2318, 2242, 2496, 4089, 476, 273, 281, 1133, 24286, 519, 31981, 540, 17905, 692, 3086, 602, 596, 917, 875, 4105, 2825, 1143, 568, 267, 621, 779, 942, 547, 2743, 922, 1655, 3659, 281, 14498, 269, 6056, 540, 3235, 5505, 607, 3713, 1161, 3695, 1114, 9249, 543, 23115, 856, 875, 2713, 1919, 2170, 1369, 1346, 5054, 269, 1280, 1383, 267, 1705, 596, 917, 602, 930, 20151, 2965, 3548, 19498, 8876, 3676, 286, 2107, 602, 1978, 2010, 540, 13479, 3132, 5135, 1247, 7738, 1216, 286, 1879, 3744, 1451, 891, 4296, 1063, 2249, 543, 741, 5054, 267, 789, 3605, 2081, 547, 8190, 10347, 21356, 543, 2061, 12469, 780, 29222, 5517, 1325, 1068, 2336, 30706, 4862, 540, 1883, 7723, 2249, 286, 16514, 513, 6149, 2895, 3118, 5885, 513, 5230, 8122, 269, 1403, 596, 4894, 519, 4099, 7723, 630, 1492, 968, 4486, 7723, 25257, 3388, 2458, 22663, 269, 6684, 267, 9427, 513, 2582, 1883, 7723, 2249, 267, 971, 607, 4262, 17333, 1562, 610, 20384, 267, 20427, 5540, 3003, 8134, 1317, 789, 1404, 2565, 5107, 538, 9013, 5095, 543, 4509, 3666, 269, 15346, 267, 1318, 2496, 6962, 912, 2467, 596, 723, 621, 267, 8284, 7045, 3464, 256, 2060, 2825, 1143, 543, 14498, 896, 707, 12966, 267, 596, 2461, 1631, 4712, 547, 7832, 593, 13858, 15322, 998, 7733, 267, 12084, 267, 24301, 267, 543, 3564, 269, 5457, 267, 676, 10027, 5109, 12624, 7186, 543, 18245, 1200, 7068, 267, 596, 2327, 5481, 540, 8049, 3214, 1205, 547, 2972, 1200, 5898, 1932, 269, 5901, 3695, 267, 3251, 8049, 267, 543, 1034, 11932, 267, 2760, 3247, 14952, 532, 693, 519, 9059, 540, 938, 6909, 4541, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 26903, 543, 4065, 454, 763, 11957, 540, 7186, 538, 3427, 454, 12041, 281, 1323, 11986, 681, 6686, 332, 1889, 548, 8111, 6665, 528, 281, 10127, 2088, 1520, 2692, 1401, 3133, 518, 281, 4432, 529, 9278, 4432, 1067, 1054, 11261, 281, 2904, 267, 476, 1001, 276, 454, 20428, 281, 12409, 7070, 454, 26903, 543, 2825, 2152, 616, 3584, 596, 666, 1265, 782, 936, 938, 2486, 267, 4061, 849, 538, 2069, 269, 634, 2832, 540, 713, 1353, 568, 547, 1265, 856, 875, 547, 9192, 2470, 609, 1641, 6927, 267, 4061, 1018, 2186, 540, 9270, 3610, 538, 2342, 630, 306, 14954, 523, 543, 15212, 264, 1118, 827, 9256, 519, 6249, 2470, 609, 741, 1641, 6927, 543, 1018, 2238, 789, 798, 547, 9192, 621, 269, 19877, 338, 941, 1031, 547, 2445, 1239, 269, 2368, 6405, 2238, 827, 2069, 538, 519, 2470, 630, 719, 21830, 2069, 264, 543, 2069, 827, 519, 2470, 630, 12671, 2825, 2152, 264, 607, 1134, 607, 519, 9270, 3610, 1118, 827, 713, 1888, 941, 1336, 856, 269, 901, 1382, 9060, 856, 602, 3610, 666, 1294, 519, 2956, 540, 9256, 2470, 609, 1641, 6927, 543, 616, 12592, 547, 798, 513, 2603, 540, 2238, 538, 519, 2470, 630, 719, 21830, 2238, 264, 609, 519, 10453, 269, 570, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 5319, 1444, 16117, 1299, 17905, 257, 607, 851, 540, 834, 299, 25604, 14473, 23333, 28421, 16739, 1315, 23527, 1299, 21771, 1315, 12292, 1299, 7186, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 5149, 476, 278, 281, 2961, 681, 1581, 18169, 1107, 589, 6206, 3281, 9426, 540, 18763, 13488, 692, 1103, 2221, 779, 3728, 19550, 1158, 267, 4830, 2951, 814, 1831, 5051, 2442, 1851, 14666, 5275, 8112, 267, 5191, 267, 543, 10531, 2833, 269, 2290, 1898, 2460, 540, 713, 1826, 540, 2951, 568, 1286, 23934, 3681, 269, 901, 1770, 12538, 883, 1585, 18125, 540, 1286, 10519, 1023, 267, 3695, 875, 789, 3565, 3648, 547, 7393, 519, 2949, 1995, 540, 14666, 945, 4782, 1582, 28621, 3660, 19150, 269, 1284, 786, 849, 4983, 930, 6932, 3466, 538, 1286, 23934, 2533, 602, 616, 5935, 2413, 9235, 780, 296, 269, 4197, 2961, 681, 550, 1023, 454, 10111, 10519, 1023, 3277, 547, 2110, 3856, 6174, 682, 2084, 12417, 1141, 2043, 10210, 6472, 585, 3908, 5712, 8151, 689, 3108, 547, 4374, 269, 769, 519, 2796, 540, 2951, 267, 2523, 950, 9683, 4914, 2477, 267, 1286, 10519, 1023, 1683, 8436, 609, 1454, 32571, 10688, 267, 7175, 873, 547, 6330, 14542, 11182, 693, 741, 1378, 10605, 269, 15316, 2010, 540, 6517, 8597, 547, 3309, 2115, 282, 11741, 4346, 3631, 9290, 21088, 17631, 610, 15185, 267, 1247, 838, 20160, 1295, 643, 753, 13918, 3885, 610, 2516, 5887, 1005, 856, 1927, 780, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 23114, 1242, 910, 18043, 454, 26660, 910, 6715, 31772, 454, 2171, 6875, 634, 17520, 4934, 2986, 12875, 532, 8581, 454, 347, 17780, 12875, 12866, 454, 277, 667, 17751, 306, 910, 5990, 715, 3036, 8025, 310, 12239, 454, 299, 308, 311, 7838, 312, 32577, 3633, 570, 21788, 454, 299, 5495, 21203, 11536, 17395, 595, 17129, 4041, 1299, 590, 5183, 32577, 3633, 570, 21788, 454, 292, 6470, 1299, 20405, 454, 293, 25893, 5254, 2752, 700, 308, 311, 7838, 312, 595, 17129, 4041, 32577, 3633, 570, 21788, 454, 2005, 781, 899, 513, 700, 13263, 10911, 308, 30990, 256, 910, 1133, 17569, 4495, 910, 1763, 677, 11242, 547, 17949, 910, 4303, 1401, 15479, 687, 910, 670, 1068, 345, 681, 1581, 2961, 610, 17721, 2961, 543, 30905, 585, 19766, 4041, 15288, 7115, 910, 4039, 1314, 2336, 288, 17159, 1759, 16314, 538, 667, 2177, 9680, 3201, 543, 519, 715, 3036, 8025, 310, 12239, 540, 8581, 609, 3255, 547, 2263, 267, 8289, 5408, 267, 1205, 533, 2086, 1229, 267, 782, 538, 519, 1655, 540, 476, 275, 5182, 17195, 2336, 312, 21788, 700, 308, 311, 7838, 312, 700, 5495, 21203, 11536, 17395, 595, 17129, 4041, 670, 5588, 5085, 454, 15578, 25886, 5508, 700, 5495, 21203, 11536, 17395, 595, 17129, 4041, 454, 299, 965, 10507, 651, 16836, 814, 513, 1279, 1686, 799, 568, 20386, 538, 519, 1650, 540, 3213, 269, 667, 821, 6549, 543, 8581, 269, 898, 568, 513, 1650, 540, 1373, 20077, 4062, 676, 4062, 689, 2199, 6149, 5645, 676, 595, 569, 9188, 23014, 9640, 2059, 16887, 9112, 4155, 1811, 269, 898, 568, 513, 9661, 540, 1373, 4465, 267, 4503, 267, 8297, 1441, 543, 17468, 269, 5295, 995, 476, 1691, 628, 2540, 804, 753, 540, 667, 821, 6549, 519, 744, 262, 291, 517, 333, 20635, 1185, 741, 10160, 1934, 267, 14547, 2244, 14935, 12199, 9992, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 570, 30728, 1315, 5253, 267, 700, 617, 3101, 1299, 18815, 1315, 4937, 1315, 2961, 681, 1581, 18169, 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, 1290, 22683, 2326, 723, 1831, 5051, 2442, 538, 1585, 6080, 1813, 547, 741, 2189, 3601, 602, 9192, 519, 5383, 540, 1114, 25499, 2326, 269, 1452, 2326, 2874, 540, 1079, 610, 811, 11775, 267, 12077, 519, 5119, 5123, 543, 519, 15699, 5123, 267, 602, 960, 1927, 547, 1683, 9120, 7344, 267, 8143, 267, 5122, 267, 543, 3114, 3601, 3379, 547, 1367, 3334, 269, 2290, 6932, 4480, 585, 13754, 1944, 12432, 6289, 558, 17467, 3322, 1210, 17196, 26119, 267, 799, 2709, 1896, 2640, 971, 607, 4028, 8022, 267, 8476, 5114, 737, 27282, 267, 4824, 1587, 11729, 267, 543, 4389, 4393, 2053, 269, 769, 713, 1576, 1770, 267, 649, 786, 5490, 883, 519, 1909, 540, 17196, 4908, 2360, 267, 2409, 540, 17196, 1648, 5108, 543, 6765, 267, 543, 875, 891, 2188, 3310, 519, 2773, 540, 29322, 2326, 780, 31466, 992, 1511, 22039, 6356, 912, 10900, 14945, 763, 13590, 8552, 13408, 6329, 609, 8795, 12451, 543, 20966, 269, 634, 17196, 3148, 21269, 689, 476, 271, 269, 274, 717, 13703, 547, 476, 4968, 717, 13703, 267, 7222, 547, 20966, 1063, 476, 272, 6515, 543, 476, 272, 544, 269, 1879, 7311, 14580, 2314, 585, 1570, 10282, 267, 519, 4908, 4249, 513, 2629, 1909, 2094, 621, 5540, 519, 5872, 7271, 1063, 519, 14580, 2314, 543, 519, 2326, 1373, 9268, 269, 7756, 2477, 9772, 1808, 12451, 585, 4853, 267, 3621, 267, 543, 2564, 3156, 282, 585, 3236, 267, 519, 2136, 2276, 18271, 476, 280, 1428, 631, 13703, 543, 476, 273, 269, 3393, 717, 13703, 267, 1247, 2342, 3096, 476, 273, 269, 3393, 717, 13703, 543, 476, 276, 269, 279, 717, 13703, 780, 10521, 3119, 6127, 1827, 17196, 2173, 1468, 4205, 281, 546, 13633, 26445, 543, 25617, 26634, 269, 2311, 2539, 12451, 630, 283, 272, 717, 13703, 1070, 25617, 9194, 2531, 7149, 267, 3056, 547, 13557, 8022, 269, 17957, 267, 693, 2362, 12451, 630, 285, 272, 717, 13703, 1070, 16702, 1961, 10047, 3587, 1713, 267, 4611, 538, 16496, 8022, 1369, 519, 1570, 781, 9703, 269, 1280, 6289, 24899, 22683, 10282, 267, 7446, 519, 3617, 4908, 5849, 6099, 1648, 10338, 676, 519, 3077, 2326, 267, 7175, 6417, 2208, 543, 7833, 3892, 540, 18674, 5536, 780, 32325, 540, 12130, 992, 1511, 6052, 19087, 543, 24822, 912, 24801, 21387, 2162, 476, 272, 269, 10871, 1261, 908, 543, 834, 31640, 1975, 1824, 257, 1384, 26222, 1242, 8022, 4386, 950, 14580, 2314, 2170, 9244, 609, 1978, 4525, 1369, 519, 19720, 267, 2870, 3905, 9634, 6353, 676, 11506, 5210, 269, 901, 7613, 14340, 689, 1875, 684, 6134, 885, 538, 30526, 3586, 543, 19428, 1851, 519, 2326, 3238, 269, 12182, 9634, 5512, 4028, 6547, 543, 3986, 2527, 3560, 3928, 267, 5009, 7576, 566, 543, 12627, 2208, 1282, 6289, 24899, 22683, 21753, 269, 1717, 267, 9013, 3905, 5544, 5250, 3340, 6297, 7156, 540, 1184, 6724, 543, 19720, 1374, 780, 2162, 476, 273, 269, 30003, 5071, 338, 540, 12130, 992, 1511, 12524, 20905, 1384, 26452, 6272, 540, 17196, 26119, 2291, 4470, 593, 519, 5551, 3498, 269, 2368, 1455, 19383, 1331, 3818, 2173, 1712, 19659, 267, 2582, 2173, 1712, 19659, 267, 543, 5951, 7666, 1938, 269, 11638, 2173, 1712, 19659, 4183, 2789, 22298, 12331, 267, 3850, 21800, 29835, 540, 3875, 12451, 543, 7393, 1648, 4483, 4398, 269, 17266, 2173, 1712, 19659, 6615, 2300, 14591, 547, 513, 1880, 7154, 267, 4180, 5730, 1852, 936, 2837, 14778, 543, 10893, 3905, 9634, 269, 23027, 7666, 1938, 10141, 14580, 2314, 998, 17860, 17285, 13740, 267, 14123, 1463, 3346, 1063, 14580, 2314, 543, 2326, 269, 29922, 519, 1318, 19720, 12122, 5673, 593, 2188, 971, 607, 3732, 2450, 267, 2838, 2837, 2039, 267, 543, 4630, 23189, 7569, 780, 2162, 476, 274, 269, 6713, 30352, 6513, 543, 24046, 16242, 1384, 18893, 30093, 1184, 2175, 568, 1898, 585, 8236, 14909, 6289, 24899, 22683, 3889, 269, 6206, 6724, 1331, 2604, 267, 2837, 267, 942, 267, 543, 3403, 1379, 269, 2552, 13764, 2604, 7506, 5114, 11444, 267, 9325, 7306, 267, 543, 7679, 18432, 16345, 1063, 5119, 543, 12927, 906, 269, 23207, 2604, 1419, 2164, 538, 16437, 518, 2890, 560, 23461, 543, 4130, 16358, 924, 7306, 269, 18323, 2359, 21560, 5114, 737, 27282, 267, 18236, 14170, 267, 543, 2949, 19916, 269, 14451, 5210, 3622, 17108, 6547, 543, 3895, 519, 5250, 540, 1134, 1673, 7371, 619, 539, 20543, 269, 5384, 11938, 2636, 2766, 1681, 519, 4110, 540, 7503, 543, 3803, 1587, 4162, 269, 7053, 267, 14577, 3403, 1379, 6087, 5386, 2389, 12941, 540, 22297, 8022, 3270, 543, 2949, 1648, 4616, 780, 2162, 476, 275, 269, 8838, 2711, 13437, 543, 4762, 580 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4804, 12780, 888, 288, 4804, 12780, 568, 811, 982, 513, 5399, 269, 898, 781, 513, 2168, 610, 5691, 2230, 602, 2636, 1053, 547, 581, 7722, 543, 15052, 741, 1565, 676, 9691, 3206, 267, 1966, 9010, 267, 23712, 267, 3048, 908, 543, 14379, 269, 634, 3804, 568, 547, 22962, 2875, 1565, 3564, 519, 4928, 543, 2146, 269, 1280, 811, 1344, 267, 3643, 519, 22598, 4065, 3896, 563, 268, 11427, 269, 23720, 454, 268, 7323, 21862, 839, 454, 299, 3869, 5800, 531, 630, 291, 652, 4176, 994, 2414, 1569, 519, 5399, 22045, 4945, 1934, 267, 2824, 938, 1153, 543, 4945, 519, 834, 16446, 1546, 518, 5616, 257, 4216, 547, 1129, 538, 609, 707, 5616, 2272, 563, 21254, 7335, 5358, 454, 1432, 568, 621, 888, 2304, 2228, 2146, 540, 3988, 609, 519, 3804, 547, 9004, 2542, 2530, 543, 3136, 547, 23365, 6000, 538, 1390, 2984, 998, 519, 19496, 563, 1692, 1281, 621, 960, 888, 301, 11403, 303, 568, 18799, 593, 5616, 15858, 269, 1879, 596, 9096, 513, 1433, 630, 874, 9713, 1433, 27160, 9349, 270, 16728, 984, 809, 17320, 1429, 545, 3209, 1070, 2022, 519, 2140, 267, 2278, 543, 513, 2110, 1025, 7875, 827, 1946, 596, 10150, 630, 528, 4769, 1405, 2972, 264, 707, 1433, 269, 2311, 519, 1439, 540, 1142, 19496, 267, 1169, 2875, 945, 11540, 786, 581, 9411, 547, 3094, 513, 1269, 2004, 10516, 3556, 547, 30667, 2336, 8005, 666, 6443, 888, 5472, 1053, 543, 5234, 256, 25175, 689, 3502, 516, 667, 877, 568, 10950, 547, 6443, 715, 11403, 303, 269, 1717, 267, 26065, 786, 1152, 581, 13752, 547, 1053, 563, 12218, 3009, 281, 546, 274, 2125, 665, 273, 454, 2252, 596, 723, 1022, 2055, 827, 715, 11403, 303, 267, 2911, 547, 707, 7172, 12579, 2336, 763, 6732, 13129, 10418, 630, 3036, 290, 264, 3091, 513, 3309, 4015, 540, 4704, 543, 1344, 2959, 269, 634, 10758, 290, 568, 2139, 585, 15206, 910, 6103, 476, 1321, 1053, 267, 3610, 543, 3237, 998, 513, 16827, 2987, 5025, 573, 547, 634, 22598, 7732, 689, 22598, 4065, 269, 634, 10758, 290, 568, 606, 5140, 4199, 585, 1382, 4574, 543, 1382, 2861, 3785, 269, 8437, 1934, 547, 1569, 519, 10758, 290, 563, 23921, 948, 609, 513, 1382, 1788, 286, 5700, 707, 1888, 267, 855, 723, 1100, 23319, 1141, 547, 1265, 6325, 8100, 286, 13185, 609, 7323, 21862, 839, 585, 1382, 543, 4704, 28780, 563, 763, 4804, 12780, 7512, 5876, 543, 1374, 269, 6744, 856, 938, 476, 274, 291, 11553, 2562, 9898, 269, 1280, 1269, 271, 269, 1428, 17320, 267, 596, 666, 1820, 1022, 476, 274, 291, 1374, 540, 707, 5137, 269, 9105, 519, 4804, 12780, 5234, 585, 811, 3877, 563, 291, 25128, 976, 1299, 28463, 976, 11833, 454, 14976, 1407, 267, 2107, 14369, 543, 21009, 902, 267, 19315, 1250, 256, 3657, 596, 5461, 538, 4152, 707, 1983, 538, 519, 681, 22333, 1158, 286, 6423, 7323, 21862, 839, 538, 519, 4804, 12780, 585, 811, 1344, 269, 0, 25413, 2264, 7177, 281, 15339, 12454, 12229, 4886, 568, 519, 1101, 3102, 3391, 547, 519, 5817, 1983, 22993, 538, 519, 20959, 781, 12229, 7177, 10610, 540, 11310, 630, 14684, 292, 289, 10498, 264, 3044, 269, 11621, 4274, 9400, 5576, 28704, 6941, 519, 2757, 3301, 4702, 2853, 6444, 585, 3384, 3785, 585, 2229, 610, 9746, 1949, 563, 25413, 2264, 4702, 2069, 1419, 19330, 32301, 267, 609, 1082, 5238, 2519, 593, 6388, 2864, 982, 1374, 607, 621, 5222, 1587, 6189, 269, 3509, 20021, 6443, 519, 13781, 609, 18106, 1983, 267, 3056, 547, 3301, 3785, 602, 2901, 3111, 30739, 610, 2196, 530, 4141, 2685, 936, 6578, 543, 3297, 8430, 563, 12234, 267, 3301, 8030, 991, 547, 1174, 1062, 4702, 543, 6189, 587, 499, 1492, 8800, 543, 13020, 1023, 741, 3292, 786, 2196, 593, 269, 901, 3390, 786, 1152, 1332, 538, 2956, 607, 811, 3292, 15407, 6252, 7384, 267, 8506, 606, 1620, 540, 519, 6252, 7207, 540, 21932, 543, 8800, 269, 901, 1433, 3947, 1312, 3301, 9367, 543, 1062, 8030, 1883, 4030, 883, 875, 741, 1983, 1115, 1489, 543, 9148, 1142, 824, 269, 2060, 513, 1445, 593, 891, 1883, 1702, 2127, 267, 12229, 7177, 3091, 513, 1305, 540, 1655, 2853, 602, 666, 581, 4294, 547, 1022, 2872, 610, 6389, 3238, 538, 3384, 3301, 2472, 563, 257, 27675, 18462, 257, 949, 4866, 547, 1776, 7160, 540, 713, 2140, 563, 22137, 1397, 602, 811, 982, 3368, 540, 782, 3301, 3785, 2901, 3111, 30739, 610, 2196, 530, 4141, 2685, 936, 6578, 543, 8430, 269, 901, 568, 13148, 1813, 547, 2069, 602, 6212, 593, 5752, 543, 22606, 7400, 1374, 267, 855, 5097, 11911, 547, 513, 3668, 540, 1620, 4478, 3301, 2895, 339, 15145, 1374, 269, 9453, 513, 2347, 1374, 1523, 267, 799, 9607, 519, 8800, 543, 13020, 1023, 593, 799, 3301, 3292, 786, 14892, 267, 8193, 666, 581, 28537, 267, 543, 1267, 538, 606, 18633, 1374, 5748, 585, 519, 3301, 1587, 1272, 4783, 563, 25413, 2264, 7177, 281, 15339, 5937, 337, 1508, 12229, 4886, 3217, 606, 15834, 1935, 547, 3301, 1646, 269, 23850, 547, 5447, 609, 519, 20959, 8950, 5980, 781, 12229, 7177, 1560, 540, 11310, 630, 14684, 292, 289, 10498, 1070, 519, 1433, 6212, 593, 10128, 513, 3099, 540, 3301, 1646, 2409, 543, 2895, 15157, 1116, 1374, 2853, 602, 616, 1898, 585, 3384, 2500, 543, 3608, 3301, 2472, 269, 11621, 4274, 9400, 5576, 28704, 3082, 338, 2757, 1949, 4702, 2853, 547, 519, 4702, 540, 3301, 2472, 269, 6787, 596, 2811, 513, 3301, 17354, 267, 513, 1949, 11653, 267, 610, 1788, 9614, 267, 713, 1433, 2488, 1883, 4030, 883, 875, 891, 1079, 5578, 5036, 666, 1489, 543, 9148, 1142, 824, 269, 10666, 519, 8191, 912, 32178, 674, 269, 5576, 28704, 814, 936, 476, 1789, 1296, 540, 1995, 538, 1949, 543, 590, 270, 310, 4702, 538, 519, 23825, 2146, 269, 2755, 7674, 519, 5794, 10414, 7010, 16710, 267, 646, 669, 8529, 513, 17434, 6796, 11554, 6828, 799, 3812, 31280, 589, 540, 1684, 291, 4149, 31813, 268, 476, 21327, 278, 267, 16470, 7010, 590, 270, 310, 4886, 267, 543, 667, 7495, 4149, 31813, 268, 21327, 279, 267, 16470, 7010, 590, 270, 310, 10866, 5358, 269, 9400, 4797, 1010, 9525, 538, 4441, 676, 11381, 532, 519, 20959, 11554, 6828, 593, 7010, 7177, 5004, 267, 3743, 585, 519, 8313, 540, 20959, 476, 14338, 271, 267, 634, 13335, 543, 5004, 540, 519, 7010, 7177, 6713, 269, 8081, 539, 519, 13108, 779, 681, 6395, 12751, 7010, 23910, 630, 6224, 2894, 294, 264, 8433, 585, 476, 280, 1296, 607, 606, 4830, 22639, 585, 7010, 543, 12229, 7177, 3609, 543, 2853, 267, 6721, 519, 25220, 3590, 6361, 4149, 2448, 338, 630, 3383, 306, 264, 7010, 7177, 6651, 1504, 538, 476, 1220, 276, 269, 9400, 568, 4867, 519, 10615, 540, 16373, 585, 966, 924, 577, 15278, 267, 519, 7426, 540, 2910, 3918, 269, 9400, 814, 849, 5249, 585, 595, 17955, 15484, 21527, 1519, 21929, 590, 270, 310, 267, 543, 1306, 1417, 20603, 15278, 563, 257, 10666, 713, 2140, 257, 949, 4866, 547, 1776, 7160, 540, 713, 2140, 563, 9349, 13517, 21546, 918, 31348, 10458, 269, 3883, 16448, 281, 1715, 269, 476, 23713, 2412, 278, 278, 6924, 275, 901, 568, 606, 4139, 9990, 269, 15952, 1715, 267, 28980, 267, 24822, 1369, 476, 277, 268, 1691, 1870, 2395, 267, 5381, 12937, 607, 772, 2529, 9990, 267, 9768, 543, 15147, 1374, 949, 8428, 267, 9102, 538, 4563, 1299, 6519, 269, 7994, 30609, 1243, 11288, 585, 6765, 1369, 476, 274, 268, 279, 1870, 2395, 269, 1284, 798, 711, 6928, 547, 18161, 13340, 267, 6673, 302, 2073, 674, 17269, 17372, 269, 769, 930, 8320, 267, 5396, 971, 607, 5004, 267, 19098, 267, 16010, 949, 723, 1114, 1439, 3184, 2013, 2090, 543, 5751, 269, 4139, 9990, 7956, 9248, 949, 7703, 513, 6003, 834, 8253, 585, 9042, 538, 519, 772, 2529, 269, 610, 4516, 257, 543, 834, 32098, 949, 1114, 689, 772, 2529, 269, 9990, 257, 910, 9102, 1152, 547, 25339, 772, 2529, 269, 1053, 689, 13844, 606, 10097, 5299, 269, 634, 772, 2529, 269, 10966, 7040, 814, 7682, 539, 707, 1318, 547, 6718, 3486, 21820, 267, 543, 12199, 593, 713, 3390, 269, 7457, 3009, 270, 7374, 568, 711, 3177, 609, 891, 21820, 2073, 8259, 9138, 269, 1284, 949, 6928, 519, 2835, 689, 2789, 16292, 17346, 2066, 519, 8608, 267, 1519, 3127, 4470, 2390, 519, 8244, 540, 11891, 4859, 269, 21436, 9547, 16798, 269, 3883, 31805, 22802, 1948, 670, 308, 318, 7818, 23713, 2412, 278, 278, 6924, 274, 454, 9349, 13517, 21546, 918, 31348, 10458, 269, 623, 4338, 2207, 289, 19272, 269, 3883, 16448, 281, 1715, 269, 476, 23713, 2412, 278, 278, 6924, 275, 1284, 6928, 689, 3127, 269, 623, 4338, 2207, 289, 19272, 29206, 2793, 3582, 3201, 11581, 296, 3582, 15952, 1715, 25767, 269, 634, 9768, 268, 1724, 610, 15147, 1522, 581, 1114, 855, 1543, 568, 970, 18075, 1482, 269, 1284, 5838, 538, 476, 276, 910, 476, 280, 2395, 543, 8362, 8207, 6075, 2152, 269, 3883, 31805, 22802, 1948, 476, 23713, 2412, 278, 278, 6924, 275, 5025, 289, 5723, 454, 9349, 13517, 28980, 269, 3883, 16448, 281, 21832, 269, 901, 568, 606, 4139, 9990, 269, 15952, 1715, 28980, 268, 23893, 7170, 8191, 543, 9990, 607, 7396, 269, 9768, 543, 15147, 1374, 15320, 269, 5381, 12937, 607, 772, 2529, 9990, 269, 24822, 1369, 476, 274, 268, 278, 1870, 2395, 8028, 4629, 7704, 5990, 23834, 15477, 292, 269, 1284, 666, 6928, 547, 18161, 13340, 2232, 538, 2475, 269, 4139, 9990, 7956, 9248, 949, 7703, 513, 6003, 834, 8253, 585, 9042, 538, 519, 772, 2529, 269, 610, 4516, 257, 610, 834, 2690, 9042, 538, 5607, 1152, 257, 610, 2147, 9993, 268, 9102, 1152, 547, 25339, 1053, 689, 13844, 606, 10097, 5299, 269, 2475, 7040, 814, 7682, 539, 707, 1318, 547, 4444, 543, 946, 4139, 7160, 269, 7457, 3009, 270, 7374, 949, 711, 3177, 609, 891, 21820, 269, 1284, 949, 6928, 519, 2835, 689, 2789, 16292, 17346, 2066, 519, 8608, 1519, 5607, 4470, 2390, 519, 8244, 540, 11891, 269, 7179, 539, 538, 2296, 269, 21436, 9547, 16798, 269, 7994, 11880, 1243, 11288, 585, 18124, 6765, 269, 31524, 1297, 3177, 585, 1169, 1931, 269, 3883, 31805, 22802, 1948, 681, 308, 318, 7818, 23713, 2412, 278, 278, 6924, 274, 454, 9349, 13517, 21546, 918, 31348, 10458, 269, 623, 4338, 2207, 289, 19272, 269, 3883, 16448, 281, 1715, 269, 476, 23713, 2412, 278, 278, 6924, 275, 1715, 2073, 17220, 7160, 2073, 2571, 16225, 2073, 306, 877, 1257, 607, 2475, 7160, 2073, 9768, 1315, 290, 1478, 949, 581, 1114, 2073, 27973, 547, 6928, 267, 476, 276, 268, 279, 1870, 2395, 5001, 6765, 269, 3883, 31805, 22802, 1948, 5442, 13697, 294, 298, 22001, 454, 9349, 13517, 3883, 16448, 281, 15952, 1715, 269, 623, 4338, 2207, 289, 19272, 267, 9349, 16448, 1715, 267, 4139, 9990, 269, 1284, 1684, 711, 26676, 6673, 302, 674, 17269, 6730, 18161, 21398, 311, 269, 15147, 12005, 1299, 9768, 949, 581, 1114, 689, 2475, 7160, 855, 9115, 607, 2475, 9990, 269, 24614, 538, 2296, 1893, 12991, 302, 7131, 6730, 589, 6717, 8577, 2910, 14701, 269, 16797, 6765, 676, 2475, 4916, 270, 308, 4916, 22230, 30045, 22077, 3633, 13052, 270, 2752, 4456, 13052, 2073, 20578, 518, 9547, 16798, 269, 1284, 949, 6928, 519, 2835, 689, 7489, 4525, 585, 11891, 3483, 269, 3883, 31805, 22802, 1948, 9474, 292, 4696, 295, 265, 1012, 4510, 278, 454, 9349, 13517, 28980, 269, 3883, 16448, 281, 1715, 269, 9941, 16225, 3883, 267, 1715, 16448, 267, 16258, 1744, 6235, 269, 27973, 538, 14351, 269, 476, 272, 560, 9990, 269, 1496, 8923, 3367, 28392, 6969, 11370, 3539, 3910, 901, 1772, 1323, 4139, 9990, 269, 7179, 539, 769, 4563, 543, 6519, 269, 476, 4391, 277, 9664, 267, 3883, 15147, 1656, 9768, 3143, 2904, 2142, 7756, 3245, 2475, 9990, 269, 10163, 24071, 19833, 2598, 25068, 6478, 902, 3502, 1280, 19833, 769, 7330, 1656, 4516, 2904, 2142, 7179, 539, 2201, 634, 15147, 2986, 634, 3883, 269, 9208, 1744, 6235, 476, 278, 268, 1691, 6355, 17963, 269, 30609, 1243, 26676, 532, 476, 275, 268, 279, 6355, 17963, 269, 2878, 265, 25446, 11298, 10691, 13673, 9898, 14011, 2562, 645, 8085, 298, 10758, 291, 8991, 269, 30995, 634, 7734, 2904, 2142, 26676, 3245, 744, 2091, 553, 1280, 22802, 20828, 269, 3883, 31805, 22802, 1948, 476, 31979, 280, 2190, 454, 9349, 13517, 28980, 269, 3883, 16448, 281, 1715, 269, 1715, 267, 9941, 16225, 4139, 9990, 267, 7179, 539, 538, 4563, 543, 6519, 267, 8307, 2475, 4916, 9012, 13875, 1744, 6235, 10396, 14877, 267, 7756, 9768, 267, 23893, 12474, 1306, 2475, 7160, 267, 3883, 15147, 949, 581, 7756, 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 ]
[ 3013, 269, 2196, 2859, 25721, 2296, 12626, 4147, 14813, 334, 29093, 27287, 15154, 2419, 11301, 14807, 520, 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, 14134, 532, 540, 6611, 910, 29460, 606, 13562, 2246, 692, 5970, 596, 2479, 6743, 909, 693, 519, 3781, 6607, 543, 9289, 1018, 621, 1131, 581, 899, 547, 10581, 1851, 519, 6801, 286, 2107, 6148, 596, 4312, 16545, 6972, 593, 519, 7599, 610, 1256, 9683, 1776, 4541, 286, 1280, 1082, 3214, 630, 663, 4079, 1932, 256, 1070, 891, 9909, 666, 1745, 7543, 547, 3035, 269, 1809, 585, 930, 5462, 2043, 267, 789, 1831, 4641, 269, 2913, 781, 2263, 875, 2576, 3587, 606, 16106, 543, 1246, 519, 1650, 540, 13108, 31924, 9324, 714, 22210, 5069, 267, 945, 2968, 835, 540, 8331, 781, 21777, 16106, 10457, 780, 5575, 267, 1577, 781, 1174, 1018, 606, 16106, 1281, 269, 1323, 16106, 568, 2576, 945, 12599, 883, 2230, 607, 851, 540, 513, 5692, 269, 1452, 13485, 1223, 4125, 10647, 3621, 6901, 267, 28472, 15408, 267, 610, 8600, 585, 2104, 1480, 3408, 540, 824, 10785, 269, 1677, 1831, 606, 16106, 267, 972, 616, 1896, 3268, 3238, 780, 3721, 476, 272, 281, 4065, 454, 12024, 938, 1909, 2203, 267, 9324, 714, 22210, 5069, 267, 2348, 513, 2178, 3872, 4282, 568, 2629, 269, 3509, 20691, 723, 5232, 538, 4610, 971, 607, 4702, 267, 6211, 2257, 267, 2168, 2257, 267, 2780, 2257, 267, 610, 6128, 269, 5136, 8877, 4359, 5232, 899, 9457, 781, 610, 1912, 6185, 9538, 338, 666, 849, 2333, 707, 8458, 540, 4742, 606, 16106, 269, 1717, 267, 3274, 15980, 1434, 9344, 3884, 1405, 2614, 282, 14971, 20691, 1590, 14133, 27268, 1247, 11744, 5718, 1983, 267, 16542, 5759, 267, 543, 2500, 2792, 780, 3721, 476, 273, 281, 4518, 15232, 454, 6524, 7311, 547, 1831, 606, 16106, 267, 1034, 2824, 4315, 2744, 8101, 960, 1995, 4143, 547, 741, 5551, 2990, 269, 901, 1522, 1611, 2324, 607, 8030, 267, 21804, 267, 7189, 267, 3744, 267, 610, 23390, 269, 769, 9324, 714, 22210, 5069, 781, 2013, 267, 1352, 3459, 1200, 4876, 607, 513, 2361, 11653, 593, 3282, 6551, 338, 538, 14522, 1354, 3001, 593, 547, 811, 2230, 5829, 3255, 269, 717, 8724, 1483, 8996, 1995, 2337, 1761, 20691, 1020, 1898, 1966, 9010, 1983, 543, 6043, 2877, 1282, 4101, 13485, 780, 3721, 476, 274, 281, 8447, 24524, 543, 9751, 454, 18455, 9308, 3514, 568, 4105, 585, 17005, 519, 14053, 2175, 538, 2230, 269, 15443, 573, 919, 10929, 11826, 2564, 18362, 543, 2168, 4255, 547, 2327, 789, 2743, 519, 22608, 1072, 4170, 1305, 676, 8331, 269, 4495, 6074, 267, 20691, 3136, 7920, 2866, 1036, 6036, 2519, 593, 2127, 899, 17562, 267, 1085, 18866, 11362, 267, 8184, 2866, 267, 6668, 1983, 267, 543, 1565, 6739, 1107, 519, 3119, 1893, 9275, 20829, 519, 4139, 6611, 13749, 630, 3041, 306, 6393, 291, 523, 714, 22210, 5069, 781, 9452, 454, 31995, 909, 267, 9324, 714, 22210, 5069, 2141, 5433, 6537, 547, 519, 13655, 540, 9018, 2230, 269, 4173, 22906, 5337, 1243, 1310, 7836, 942, 11287, 519, 6801, 998, 1200, 22516, 781, 19471, 16263, 269, 1306, 1352, 575, 18968, 2390, 519, 6263, 12297, 8204, 9370, 267, 1152, 7298, 1317, 540, 1200, 22516, 781, 6612, 585, 3450, 1200, 827, 519, 7122, 267, 1352, 6785, 1352, 4941, 547, 5490, 4514, 883, 713, 17946, 14975, 8513, 780, 7437, 2182, 960, 543, 8990, 267, 9324, 714, 6913, 1200, 6689, 5326, 676, 4742, 835, 540, 8331, 781, 16918, 16106, 10457, 269, 4934, 540, 5215, 540, 23078, 267, 1352, 9863, 9887, 17709, 540, 11836, 713, 22644, 539, 1895, 269, 1879, 4280, 827, 4466, 856, 1352, 729, 5697, 267, 17229, 4904, 1200, 4064, 607, 1352, 27416, 519, 11566, 7772, 543, 771, 10964, 3971, 1352, 4810, 269, 3767, 267, 9324, 714, 14884, 29367, 1169, 1554, 547, 5965, 9887, 585, 8726, 2591, 24098, 1200, 3564, 3047, 781, 5790, 780, 6962, 912, 22349, 1258, 2246, 338, 5749, 1405, 4535, 282, 789, 2811, 1500, 998, 1296, 540, 11428, 267, 9015, 267, 543, 16177, 269, 1635, 1739, 741, 18653, 267, 4259, 3853, 267, 543, 16111, 11319, 2933, 3544, 741, 4313, 10851, 267, 4896, 666, 3914, 585, 519, 6801, 269, 5808, 6487, 1765, 16673, 2041, 14693, 649, 786, 1224, 827, 9358, 25054, 593, 6909, 17184, 9035, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 289, 1248, 5069, 10726, 856, 5215, 540, 23078, 585, 519, 4316, 547, 5721, 585, 2230, 13485, 563, 301, 8283, 700, 339, 269, 9324, 714, 22210, 5069, 267, 945, 12236, 1200, 4487, 779, 4110, 538, 7344, 4702, 693, 2475, 290, 966, 3438, 6798, 3427, 540, 7177, 538, 476, 1001, 278, 267, 568, 835, 540, 4557, 1004, 5697, 538, 8331, 779, 5767, 1362, 540, 16106, 10457, 269, 2755, 4974, 693, 2475, 290, 267, 22210, 5069, 6192, 606, 22631, 1222, 609, 519, 8331, 2549, 525, 3194, 4741, 607, 851, 540, 519, 1546, 1943, 762, 4201, 16860, 16370, 1895, 563, 1103, 606, 5967, 585, 519, 32374, 22087, 267, 22210, 5069, 1767, 602, 1352, 729, 3929, 950, 1352, 1336, 856, 602, 1352, 1185, 1044, 5697, 269, 2701, 26927, 3139, 540, 1373, 606, 16106, 2094, 1352, 729, 513, 1126, 543, 729, 6273, 676, 1200, 1920, 563, 2108, 7069, 22516, 14560, 24985, 543, 1175, 17651, 538, 2489, 269, 1261, 779, 2186, 540, 1582, 2389, 4381, 543, 3478, 547, 1294, 9370, 543, 519, 14034, 540, 21275, 267, 519, 2450, 540, 707, 11909, 344, 17970, 267, 538, 519, 18147, 16263, 2731, 20109, 1250, 2295, 8335, 2223, 22210, 5069, 1767, 563, 6097, 547, 8331, 267, 22210, 5069, 3323, 1200, 4876, 607, 513, 2361, 11653, 593, 3282, 6551, 338, 538, 14522, 267, 543, 814, 2094, 6170, 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, 5620, 596, 2479, 9289, 875, 649, 917, 865, 1454, 827, 519, 2250, 286, 5808, 6645, 721, 2984, 827, 29843, 543, 28151, 267, 3504, 12977, 267, 543, 4583, 3140, 5515, 899, 6723, 6115, 543, 7581, 641, 21358, 286, 2334, 781, 1141, 12206, 2097, 538, 256, 1358, 616, 1004, 945, 2648, 1565, 827, 519, 2250, 543, 4687, 741, 8906, 609, 1866, 269, 2913, 781, 4685, 883, 713, 4241, 1158, 1927, 2439, 1262, 1432, 798, 12206, 798, 15140, 5331, 1373, 513, 19792, 10478, 585, 10881, 827, 1279, 3516, 2621, 269, 2334, 781, 2147, 547, 1018, 12206, 798, 256, 4256, 1292, 2816, 568, 547, 1382, 267, 1451, 267, 543, 2328, 827, 1114, 3344, 540, 519, 2250, 269, 901, 2882, 4974, 13742, 630, 628, 902, 1500, 610, 1031, 513, 1279, 942, 3516, 1070, 6054, 630, 24393, 267, 1019, 2456, 267, 4013, 5638, 1070, 11147, 267, 5656, 267, 543, 1256, 8916, 269, 1635, 2650, 1424, 891, 13410, 1927, 267, 789, 1711, 6386, 1107, 610, 2984, 1107, 827, 1018, 5949, 538, 519, 2250, 780, 1262, 30747, 338, 540, 12206, 4373, 2467, 616, 1082, 2010, 540, 12206, 856, 972, 269, 2368, 1445, 593, 1808, 5712, 267, 971, 607, 9147, 3778, 610, 2622, 2782, 4083, 269, 11524, 13404, 593, 1978, 4525, 267, 899, 1977, 267, 3864, 267, 3979, 267, 7489, 267, 610, 5664, 8109, 1686, 269, 589, 1906, 12206, 20647, 538, 1880, 3584, 267, 899, 2825, 1686, 630, 13231, 3539, 875, 3425, 2170, 539, 609, 2470, 264, 610, 1514, 1686, 630, 14048, 827, 4948, 1272, 1040, 1703, 616, 849, 12206, 945, 5490, 2620, 883, 840, 20931, 910, 1354, 3425, 3323, 1603, 1919, 1524, 256, 1452, 4966, 946, 2409, 899, 22884, 543, 19795, 547, 10625, 11580, 827, 938, 2038, 11937, 780, 1262, 1692, 1281, 835, 1831, 513, 14787, 15140, 4407, 4896, 666, 581, 8049, 827, 519, 2250, 267, 4742, 513, 3318, 14787, 1419, 3340, 6266, 540, 2069, 269, 3509, 12206, 3180, 4359, 5232, 1572, 4487, 781, 610, 25719, 5232, 269, 1809, 1810, 1405, 5855, 1107, 1175, 1317, 2576, 3884, 1405, 513, 3318, 3085, 1405, 1611, 789, 5749, 1405, 13730, 827, 1686, 256, 2549, 19812, 12206, 3565, 7494, 1932, 267, 3006, 998, 2199, 2146, 3785, 610, 2228, 5867, 780, 1262, 3963, 568, 1843, 2032, 1271, 15140, 2791, 1522, 1589, 12206, 3274, 2995, 3020, 2984, 827, 519, 2250, 269, 1717, 267, 2094, 789, 960, 609, 3908, 1344, 267, 16208, 5013, 666, 581, 16602, 269, 8629, 2032, 2337, 873, 3251, 4023, 543, 7059, 950, 9306, 1686, 269, 5994, 952, 1079, 4589, 5206, 2835, 827, 519, 1977, 7169, 855, 1185, 1360, 1114, 8369, 827, 2436, 6628, 610, 3013, 729, 1318, 269, 1323, 6662, 14787, 1131, 2119, 547, 1174, 1312, 5011, 543, 1577, 3988, 1106, 741, 1378, 8753, 3079, 540, 11319, 2123, 12886, 780, 1262, 763, 4332, 540, 3318, 12206, 4373, 12441, 596, 917, 602, 834, 7290, 20187, 257, 1152, 2968, 513, 1483, 3924, 538, 519, 3735, 476, 5197, 271, 338, 286, 1306, 1007, 1382, 9945, 7153, 267, 2523, 538, 5125, 267, 5640, 3459, 2519, 811, 7920, 569, 593, 1620, 519, 2250, 1210, 3621, 2409, 269, 4653, 267, 12206, 3136, 547, 1628, 2390, 713, 5748, 267, 7683, 17975, 938, 7104, 1620, 540, 1686, 780, 3086, 602, 596, 4312, 4121, 827, 12206, 543, 741, 1909, 538, 8497, 1686, 267, 6148, 596, 3513, 2015, 11836, 741, 16034, 14693, 256, 5457, 267, 1169, 3787, 540, 7279, 543, 3408, 6770, 721, 6251, 547, 1732, 6616, 938, 6909, 3838, 1650, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21202, 14787, 568, 513, 1268, 945, 29622, 267, 2090, 267, 543, 11339, 827, 519, 2250, 267, 543, 568, 9833, 607, 606, 6392, 593, 621, 269, 16024, 2103, 616, 7255, 609, 519, 6024, 267, 1505, 673, 2239, 543, 1382, 540, 2250, 2621, 607, 11341, 547, 519, 1480, 5198, 282, 607, 1134, 607, 519, 1353, 540, 782, 1686, 538, 942, 269, 1403, 519, 1367, 568, 7255, 609, 2621, 18631, 2854, 1686, 267, 519, 1367, 568, 606, 14787, 540, 840, 20931, 269, 4014, 834, 7290, 20187, 257, 666, 581, 1031, 547, 4766, 23153, 543, 3318, 12206, 7567, 267, 621, 568, 11603, 811, 5063, 585, 1346, 945, 723, 9715, 10927, 5232, 538, 519, 9015, 269, 2368, 12206, 267, 1498, 267, 616, 6444, 676, 12326, 610, 2866, 543, 1995, 269, 834, 9303, 20187, 257, 2968, 513, 3318, 13567, 538, 519, 3735, 13524, 2540, 607, 1382, 9945, 941, 6932, 538, 5125, 543, 11992, 563, 7628, 519, 7054, 1324, 642, 31919, 7734, 543, 26100, 26684, 339, 4693, 267, 621, 2968, 10423, 602, 519, 5480, 2877, 547, 2697, 1018, 729, 606, 834, 984, 11187, 14787, 257, 538, 519, 1482, 18916, 607, 519, 10257, 1268, 267, 543, 1121, 514, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 12867, 1031, 513, 5547, 2866, 7014, 540, 476, 1321, 5036, 538, 476, 4029, 3764, 269, 21768, 8016, 630, 19865, 5403, 27488, 29283, 264, 729, 11506, 3648, 585, 476, 4343, 3108, 2022, 22086, 719, 269, 2334, 781, 513, 1713, 942, 18134, 585, 10307, 547, 581, 11506, 269, 1403, 596, 8036, 585, 835, 5662, 593, 11728, 6640, 267, 596, 9364, 1869, 581, 8781, 811, 8477, 630, 23719, 2866, 264, 693, 28813, 593, 13638, 563, 26108, 2604, 3853, 616, 3622, 1305, 2539, 982, 476, 9873, 270, 3199, 269, 2368, 1973, 2604, 6527, 2709, 811, 2640, 982, 3274, 16715, 1973, 2604, 269, 1280, 1383, 267, 513, 1362, 540, 1973, 2604, 5061, 1572, 31984, 20127, 814, 1044, 1336, 547, 849, 2569, 519, 2157, 540, 7378, 4187, 543, 2965, 15658, 519, 1646, 540, 1826, 476, 273, 3987, 269, 901, 568, 606, 1271, 7156, 950, 7234, 519, 3903, 1973, 2604, 5061, 538, 519, 10894, 6794, 269, 4179, 2517, 328, 269, 12682, 19112, 2593, 270, 12858, 24474, 304, 3918, 273, 6255, 274, 601, 288, 8276, 1314, 637, 29239, 27970, 0, 1692, 547, 2721, 609, 3444, 26048, 3515, 1148, 339, 12460, 269, 7454, 2592, 827, 22423, 5373, 593, 533, 15517, 269, 19537, 1233, 11945, 3444, 26048, 15513, 543, 538, 2681, 269, 1323, 1383, 540, 3444, 32725, 538, 1079, 8846, 269, 6004, 649, 529, 15842, 323, 521, 2923, 6575, 1362, 3232, 585, 269, 14301, 3444, 26048, 3515, 269, 9061, 26048, 12400, 811, 3785, 585, 1164, 1153, 269, 22500, 3444, 26048, 676, 2206, 679, 686, 4302, 563, 1607, 5911, 5373, 3635, 2048, 6748, 1899, 547, 1711, 2230, 685, 568, 6192, 676, 1053, 1369, 513, 476, 274, 291, 3203, 1362, 267, 2324, 936, 26278, 23609, 269, 11109, 513, 3490, 3239, 547, 960, 689, 630, 10472, 1223, 849, 581, 606, 4505, 22423, 5373, 264, 2306, 519, 1184, 540, 22151, 689, 1079, 8820, 547, 1614, 8820, 1454, 4443, 563, 16676, 6681, 7412, 14301, 20113, 281, 901, 5373, 1505, 568, 1390, 585, 17250, 9248, 543, 5373, 689, 1272, 269, 898, 666, 581, 606, 5140, 25690, 2534, 267, 609, 12400, 6192, 593, 1804, 267, 20522, 1957, 602, 666, 581, 1085, 10165, 1315, 12995, 1315, 5186, 5529, 543, 1031, 538, 824, 2081, 1369, 707, 3785, 563, 7922, 785, 2552, 712, 14301, 2433, 589, 9420, 26048, 5373, 3568, 3515, 602, 616, 6537, 1510, 2479, 3168, 693, 519, 4062, 540, 1957, 269, 901, 4229, 596, 547, 1353, 513, 6429, 5702, 267, 11287, 1169, 3337, 543, 6316, 609, 707, 4064, 267, 607, 707, 1688, 13147, 923, 891, 593, 1957, 269, 634, 2832, 568, 711, 547, 3132, 513, 10853, 11247, 267, 855, 2864, 547, 7794, 519, 4276, 1063, 4064, 267, 1688, 543, 2634, 281, 513, 12576, 602, 267, 950, 5373, 267, 596, 1590, 1101, 1451, 547, 1294, 563, 310, 790, 31493, 20567, 7412, 14301, 11644, 281, 901, 568, 606, 5140, 2534, 585, 1647, 1153, 1053, 543, 585, 1164, 1153, 1053, 267, 952, 621, 12211, 4481, 547, 707, 1788, 630, 663, 1281, 711, 15936, 609, 2022, 720, 4170, 267, 585, 1346, 945, 991, 547, 2022, 960, 2476, 585, 4879, 1040, 9540, 5911, 6901, 267, 1210, 1769, 27954, 5911, 267, 666, 849, 581, 15841, 547, 17250, 1504, 3817, 269, 0, 7197, 1004, 6999, 789, 1224, 811, 269, 898, 568, 606, 2534, 602, 568, 1312, 1187, 543, 24084, 2287, 269, 898, 666, 948, 721, 581, 811, 18164, 543, 3811, 269, 1717, 267, 621, 568, 606, 2534, 602, 1082, 1004, 1810, 1405, 4497, 538, 1360, 1454, 269, 4340, 547, 519, 476, 1960, 280, 2817, 5600, 3835, 4065, 11752, 267, 476, 2004, 260, 540, 519, 772, 2529, 269, 2551, 9907, 476, 1839, 543, 936, 1224, 513, 11356, 693, 2547, 2899, 513, 3018, 267, 1224, 835, 610, 811, 17476, 5781, 267, 543, 1185, 1224, 513, 1433, 538, 519, 2250, 476, 277, 3275, 269, 1548, 1281, 713, 1611, 286, 898, 1797, 602, 476, 2004, 260, 540, 519, 2551, 18387, 1405, 1224, 513, 1433, 538, 519, 2063, 3670, 3275, 2336, 19185, 693, 519, 824, 1439, 540, 519, 8552, 267, 1382, 2982, 602, 952, 596, 1224, 4557, 2835, 513, 1032, 267, 596, 616, 538, 519, 1283, 1906, 2600, 540, 782, 1004, 607, 3988, 269, 15439, 7150, 267, 621, 3085, 1405, 1491, 1454, 547, 581, 1134, 1224, 267, 855, 649, 798, 991, 547, 917, 875, 547, 1205, 3323, 269, 634, 1739, 616, 4557, 10372, 547, 948, 596, 7794, 707, 2542, 4356, 910, 2081, 547, 1265, 543, 1118, 811, 942, 585, 2542, 563, 272, 269, 11408, 723, 513, 1433, 1472, 269, 5213, 1405, 979, 9170, 1510, 2542, 1570, 269, 5901, 17476, 610, 2110, 2984, 538, 707, 19880, 269, 11408, 723, 1945, 538, 707, 5618, 13826, 547, 1224, 269, 5901, 513, 1433, 4433, 264, 676, 707, 5127, 269, 11109, 1919, 2139, 2306, 621, 4443, 585, 596, 547, 21102, 6382, 4503, 8090, 563, 273, 269, 5590, 513, 2542, 3804, 269, 14419, 875, 1454, 942, 596, 1616, 547, 6108, 2542, 267, 610, 875, 1082, 2835, 596, 1616, 547, 1224, 936, 942, 269, 2659, 3804, 1522, 581, 513, 1433, 513, 3923, 267, 835, 829, 3018, 267, 610, 621, 1522, 581, 547, 1224, 476, 1789, 3764, 513, 1554, 269, 3399, 856, 609, 1945, 12492, 762, 855, 1869, 513, 12701, 269, 1306, 707, 4356, 13976, 267, 596, 1522, 1305, 2362, 3853, 269, 17553, 513, 3804, 568, 519, 1101, 1900, 2509, 2542, 811, 563, 274, 269, 5901, 513, 2845, 269, 5901, 513, 1592, 540, 519, 2835, 596, 723, 1224, 267, 610, 1832, 3950, 540, 875, 1454, 942, 596, 1224, 1142, 1554, 269, 1411, 1522, 1832, 891, 8638, 538, 707, 4760, 610, 707, 1554, 1544, 1676, 269, 3733, 5067, 781, 2845, 568, 593, 938, 21067, 269, 3733, 1592, 543, 2845, 616, 6854, 593, 1250, 2780, 269, 898, 3085, 1405, 2339, 1141, 596, 1832, 621, 267, 1175, 798, 621, 563, 275, 269, 5901, 513, 1592, 269, 5269, 513, 1592, 540, 1919, 596, 1616, 547, 1224, 538, 519, 2104, 269, 9105, 707, 2828, 543, 9164, 1018, 789, 616, 2542, 269, 13772, 585, 7840, 538, 519, 11356, 543, 17476, 269, 4495, 596, 1376, 3168, 585, 1434, 2835, 267, 596, 3513, 1265, 873, 10876, 269, 901, 568, 513, 1390, 1259, 547, 1832, 707, 15131, 909, 269, 1635, 6616, 1018, 1390, 8631, 596, 1616, 547, 1224, 267, 596, 786, 12927, 707, 2542, 4356, 563, 276, 269, 12414, 1055, 519, 8613, 269, 3509, 1004, 2161, 789, 1175, 1810, 1405, 723, 2614, 942, 269, 27657, 568, 835, 540, 938, 2101, 942, 6800, 269, 5269, 707, 8613, 8384, 811, 6857, 543, 1447, 3110, 3770, 269, 1703, 568, 4986, 4636, 609, 8384, 8613, 2982, 596, 2731, 2972, 269, 7316, 519, 942, 4991, 4503, 568, 7432, 621, 593, 267, 543, 17655, 547, 1265, 834, 31138, 547, 4585, 1701, 8409, 616, 519, 2053, 547, 2490, 621, 1055, 543, 4584, 909, 707, 1433, 2336, 277, 269, 19415, 950, 596, 666, 1405, 1224, 269, 2422, 707, 862, 1393, 543, 824, 942, 6170, 538, 519, 1286, 547, 6432, 256, 1703, 616, 1390, 8301, 8747, 540, 782, 12204, 540, 2835, 269, 6787, 596, 1616, 547, 834, 1348, 257, 5708, 267, 519, 5767, 1582, 25298, 610, 2732, 1433, 267, 621, 568, 4440, 2139, 593, 11746, 269, 5213, 1405, 1205, 19526, 883, 519, 2856, 602, 596, 723, 547, 1224, 621, 910, 6947, 547, 519, 1433, 1869, 3947, 596, 519, 1995, 267, 2093, 267, 543, 9345, 602, 2542, 513, 1433, 666, 563, 278, 269, 15012, 513, 2542, 1895, 610, 1433, 8630, 269, 7335, 2516, 3335, 2743, 2899, 513, 3923, 547, 1865, 513, 1433, 789, 723, 782, 4956, 547, 1224, 269, 8758, 1154, 547, 519, 1895, 2488, 513, 3787, 811, 791, 28127, 547, 9096, 519, 1433, 267, 543, 3947, 596, 513, 1390, 8468, 585, 4901, 543, 23462, 1472, 519, 1433, 781, 4798, 563, 279, 269, 16731, 519, 5399, 610, 21869, 648, 1419, 269, 1411, 723, 707, 1592, 267, 1318, 286, 1924, 596, 3513, 723, 930, 2093, 540, 1018, 596, 616, 3168, 585, 950, 596, 3802, 538, 269, 1809, 972, 568, 811, 547, 581, 6591, 676, 6972, 998, 4025, 1141, 2835, 21078, 982, 1175, 547, 1118, 513, 11834, 269, 6875, 942, 547, 19584, 256, 2913, 707, 4064, 1265, 1919, 540, 1719, 269, 2913, 694, 16781, 760, 640, 4755, 269, 645, 4900, 532, 786, 3049, 707, 2790, 991, 547, 1224, 267, 543, 2285, 596, 7899, 540, 1007, 1919, 547, 1224, 563, 280, 269, 12706, 707, 1378, 4640, 269, 32341, 950, 2542, 13352, 707, 8430, 269, 2368, 1004, 1224, 1101, 3364, 538, 519, 6640, 267, 930, 1354, 5127, 269, 2368, 6430, 547, 1224, 607, 789, 3548, 741, 12899, 269, 1656, 972, 568, 811, 547, 707, 4640, 982, 1175, 12557, 269, 5269, 707, 1378, 3664, 827, 2542, 269, 898, 568, 21453, 547, 581, 2542, 811, 982, 835, 1433, 693, 2899, 269, 898, 568, 21453, 547, 3247, 2542, 1945, 1354, 596, 9096, 952, 621, 3884, 1405, 8066, 707, 1719, 269, 898, 568, 21453, 547, 1236, 574, 519, 1433, 267, 3478, 1018, 596, 1616, 610, 991, 267, 1510, 2542, 1169, 2985, 269, 14419, 1018, 1568, 1655, 585, 596, 267, 1020, 707, 1378, 4978, 543, 2093, 2389, 1156, 1118, 873, 960, 585, 596, 563, 1015, 269, 29100, 18421, 543, 3367, 269, 3733, 5067, 781, 8772, 3446, 1362, 814, 16692, 2752, 630, 291, 1886, 18421, 543, 3367, 264, 942, 269, 1879, 519, 4116, 7125, 585, 621, 267, 602, 781, 1175, 1018, 789, 798, 269, 1358, 1224, 1631, 269, 2334, 568, 1250, 2063, 4062, 540, 5796, 585, 596, 269, 1684, 621, 269, 3807, 1205, 3323, 269, 5269, 621, 16692, 2752, 942, 269, 3767, 563, 1231, 17508, 547, 3986, 707, 3318, 1983, 269, 3619, 547, 8940, 269, 651, 341, 710, 1731, 523, 9440, 2593, 270, 340, 2988, 342, 270, 9690, 269, 5684, 22969, 10674, 2517, 4178, 269, 651, 341, 710, 1731, 523, 9440, 2593, 270, 340, 2988, 342, 270, 9690, 269, 5684, 547, 1224, 519, 1699, 3390, 543, 24049, 269, 24910, 568, 849, 5518, 540, 634, 24910, 661, 1731, 523, 9440, 6828, 267, 513, 1565, 17874, 2754, 602, 2337, 1849, 1801, 3914, 741, 1761, 998, 513, 3099, 540, 2866, 267, 17874, 543, 6340, 2533, 269, 1411, 949, 3346, 24910, 693, 17167, 1863, 476, 31229, 269, 4041, 27073, 2207, 563, 2026, 31967, 543, 3556, 10904, 5531, 538, 7507, 267, 835, 812, 6645, 540, 1010, 1296, 17489, 3801, 547, 1294, 1010, 16957, 705, 12528, 2322, 593, 4693, 454, 1103, 2038, 5988, 267, 3203, 1755, 16907, 22641, 328, 1688, 322, 4428, 539, 5128, 547, 513, 15393, 538, 4395, 540, 519, 28912, 538, 513, 26525, 5418, 320, 547, 519, 7826, 5939, 547, 1491, 1010, 31482, 540, 4638, 6057, 676, 513, 17308, 12517, 563, 307, 523, 1296, 723, 5293, 2094, 16907, 22641, 328, 267, 476, 6246, 267, 8118, 909, 827, 519, 9836, 14213, 338, 267, 1519, 22149, 267, 602, 646, 3081, 646, 28815, 607, 513, 1126, 689, 1010, 4984, 4116, 267, 945, 729, 849, 513, 17308, 693, 513, 25110, 538, 519, 10878, 1255, 8664, 540, 30716, 545, 22088, 563, 22492, 4229, 1767, 547, 581, 8600, 547, 7088, 20045, 327, 15120, 547, 23574, 856, 2063, 9099, 3557, 5884, 327, 1841, 454, 5445, 2451, 20045, 327, 15120, 538, 513, 5996, 1195, 540, 18114, 267, 7444, 2879, 1136, 2066, 519, 9390, 607, 6094, 18162, 540, 3109, 8673, 689, 27341, 16716, 1743, 26661, 883, 519, 6607, 3297, 873, 563, 763, 9099, 3557, 25881, 3880, 1194, 741, 7953, 1055, 519, 19758, 540, 6472, 7363, 1031, 585, 24317, 13265, 269, 24761, 569, 25549, 1183, 742, 328, 6614, 26387, 20386, 1472, 741, 8188, 267, 789, 588, 1563, 693, 918, 6324, 880, 10136, 607, 789, 5293, 1510, 6031, 513, 2262, 563, 306, 14954, 324, 267, 476, 1626, 267, 3081, 9167, 3112, 1175, 12882, 342, 7159, 585, 721, 547, 1332, 909, 543, 1831, 519, 3283, 538, 5279, 5889, 454, 763, 9167, 1058, 5595, 922, 2916, 1689, 5786, 9072, 547, 798, 922, 4023, 2671, 538, 5329, 519, 4541, 2630, 513, 5906, 1377, 540, 2518, 8337, 267, 519, 16528, 19191, 13983, 3279, 774, 684, 6199, 814, 5143, 2797, 543, 1870, 3401, 538, 29761, 563, 14503, 1678, 539, 676, 1053, 689, 519, 32068, 543, 4436, 1153, 10880, 5322, 267, 519, 16528, 21717, 1767, 621, 729, 711, 2614, 547, 4126, 602, 1762, 1004, 941, 2469, 547, 4688, 519, 1158, 563, 29248, 790, 17076, 3946, 5128, 538, 1310, 1373, 9901, 609, 14084, 547, 7128, 950, 646, 1767, 646, 729, 6408, 540, 22457, 4323, 538, 9628, 454, 763, 17076, 808, 1380, 773, 3911, 565, 27451, 814, 1044, 18486, 1310, 646, 729, 9901, 609, 14084, 547, 7128, 950, 646, 10645, 646, 729, 16091, 543, 29041, 676, 1079, 9633, 539, 2367, 22551, 532, 22457, 543, 4630, 2684, 11131 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7460, 269, 898, 568, 513, 1153, 540, 18774, 523, 2065, 6138, 602, 11414, 519, 1646, 540, 1582, 20820, 543, 6830, 3363, 607, 513, 1797, 540, 20408, 16160, 4664, 269, 853, 334, 6291, 6585, 602, 16495, 630, 7945, 607, 7326, 264, 568, 8788, 543, 10385, 1058, 581, 1759, 593, 2623, 267, 2864, 982, 1913, 269, 901, 6138, 29102, 602, 649, 1810, 1405, 1852, 543, 3112, 7048, 593, 5007, 2621, 267, 1152, 6000, 543, 938, 6114, 780, 3086, 267, 1577, 721, 2015, 519, 4276, 1063, 853, 334, 6291, 543, 3782, 269, 634, 3504, 853, 334, 923, 1185, 513, 2603, 547, 2161, 827, 1072, 267, 8171, 267, 543, 2068, 269, 1358, 5156, 602, 1434, 1072, 729, 1898, 585, 2713, 513, 4075, 6681, 1272, 543, 8236, 552, 644, 2727, 8205, 630, 327, 1952, 1465, 610, 30436, 1040, 1717, 267, 741, 1935, 547, 1072, 729, 3982, 689, 519, 24118, 2203, 11342, 2221, 269, 5502, 540, 13156, 1072, 9003, 607, 519, 9000, 540, 2068, 267, 789, 4718, 621, 607, 513, 1533, 540, 10103, 1063, 519, 1560, 267, 2247, 267, 543, 1604, 780, 3080, 1883, 6240, 540, 853, 334, 6291, 602, 814, 1463, 6286, 585, 3782, 568, 519, 2856, 540, 10343, 269, 4340, 547, 853, 334, 6291, 267, 649, 1058, 3398, 1919, 602, 616, 3544, 540, 938, 1852, 543, 1445, 3079, 593, 3384, 6418, 4222, 543, 6043, 269, 769, 519, 2796, 540, 3782, 267, 713, 1797, 14344, 519, 7687, 540, 2564, 7459, 543, 8508, 519, 7915, 10462, 540, 4576, 543, 6051, 269, 1280, 3236, 267, 16561, 602, 5312, 2175, 949, 711, 723, 524, 999, 543, 1565, 547, 4383, 873, 3927, 998, 6197, 2242, 543, 824, 1875, 14428, 29108, 1670, 7459, 780, 5194, 1271, 1523, 538, 853, 334, 6291, 568, 519, 11984, 1063, 1018, 568, 909, 547, 721, 543, 1018, 568, 711, 269, 9210, 1112, 28127, 267, 513, 7986, 853, 18757, 14544, 267, 28020, 1767, 267, 834, 5278, 1919, 616, 1369, 938, 1852, 543, 1866, 711, 269, 12085, 538, 938, 1852, 616, 6644, 267, 13287, 267, 7287, 267, 513, 11437, 267, 543, 267, 538, 513, 2262, 267, 8726, 616, 938, 1378, 3527, 269, 12085, 711, 538, 938, 1852, 616, 1560, 267, 3959, 267, 10639, 267, 4971, 267, 543, 267, 538, 835, 2262, 267, 8726, 616, 711, 938, 1378, 3527, 1701, 901, 5813, 666, 948, 3782, 7426, 543, 2550, 6330, 1950, 5683, 21140, 543, 1118, 2352, 3664, 3823, 2126, 3681, 269, 1635, 9301, 1018, 568, 1369, 938, 1852, 543, 1018, 568, 711, 267, 649, 666, 2057, 11991, 7092, 543, 11349, 513, 2631, 540, 4708, 543, 1226, 534, 14383, 780, 11101, 267, 853, 334, 6291, 11363, 519, 2956, 540, 7787, 3206, 543, 2565, 2079, 269, 7354, 29132, 267, 1776, 4583, 853, 18757, 14544, 267, 5206, 14916, 827, 519, 1379, 540, 7744, 543, 11130, 602, 7954, 1223, 948, 2043, 7753, 2942, 4664, 543, 3035, 2790, 9355, 269, 769, 3782, 267, 9266, 3206, 543, 2963, 2861, 3375, 1818, 616, 2629, 585, 4180, 2318, 4093, 543, 10893, 2800, 269, 1635, 7311, 853, 18757, 3741, 540, 7787, 640, 543, 1843, 2032, 267, 3782, 4648, 666, 2087, 10368, 6111, 267, 2569, 2564, 6959, 267, 543, 3895, 3461, 3106, 780, 7661, 267, 853, 334, 6291, 3091, 4052, 2994, 585, 5883, 2566, 543, 4160, 267, 799, 616, 1455, 1851, 1312, 2550, 543, 3782, 7426, 269, 2290, 971, 4640, 568, 519, 2259, 540, 11009, 267, 799, 3322, 9878, 3007, 547, 519, 1459, 4090, 1510, 10385, 269, 24238, 666, 948, 2043, 11349, 513, 3152, 2631, 540, 4656, 543, 4527, 267, 4227, 2589, 540, 4160, 543, 4965, 269, 6271, 853, 18757, 4480, 568, 5042, 1964, 31382, 267, 799, 14122, 4101, 19450, 4555, 543, 13868, 873, 609, 811, 10853, 813, 20333, 1023, 269, 16195, 7426, 666, 4001, 891, 2553, 547, 741, 2550, 267, 16779, 873, 547, 1491, 5279, 540, 741, 2790, 1072, 543, 3986, 2949, 8171, 780, 1103, 3932, 267, 853, 334, 6291, 2488, 513, 2189, 543, 8903, 5943, 585, 1620, 543, 5466, 4207, 3782, 2591, 269, 4706, 8561, 593, 10343, 267, 2123, 5539, 267, 7787, 3206, 267, 543, 3929, 7939, 20383, 5702, 609, 6932, 3466, 538, 32687, 4915, 267, 3461, 19721, 1416, 267, 543, 1582, 31193, 269, 1635, 6220, 853, 18757, 3741, 883, 3782, 2069, 267, 2866, 267, 543, 2259, 267, 649, 666, 6536, 513, 2528, 540, 6043, 267, 6568, 267, 543, 8296, 267, 6038, 3056, 547, 1732, 1072, 4093, 543, 4824, 2298, 540, 1272, 585, 782, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 29038, 4828, 5675, 454, 268, 27326, 10749, 454, 268, 25153, 18378, 10495, 454, 268, 7869, 540, 11310, 454, 268, 9085, 5623, 454, 268, 3194, 5675, 454, 268, 12143, 6435, 454, 268, 7167, 7723, 18768, 454, 268, 5441, 13335, 454, 268, 6732, 4147, 454, 268, 11352, 12143, 454, 1789, 266, 6481, 21261, 894, 4828, 11762, 585, 5441, 4841, 454, 2421, 4165, 3415, 654, 454, 19688, 476, 2641, 267, 476, 1708, 274, 454, 21357, 12819, 1557, 3584, 2285, 596, 930, 13085, 2093, 602, 596, 666, 2263, 543, 9718, 4470, 593, 519, 1382, 596, 4076, 5342, 563, 2026, 609, 1022, 12819, 1557, 1888, 2073, 513, 2564, 1644, 1557, 849, 3340, 596, 547, 1491, 513, 18879, 543, 946, 6662, 267, 2357, 16666, 267, 543, 10257, 2963, 547, 9718, 707, 2990, 563, 4913, 267, 519, 5686, 540, 3584, 1082, 1053, 4584, 547, 2263, 538, 519, 2564, 2361, 616, 1419, 3833, 1932, 1455, 563, 13914, 540, 1826, 4083, 3987, 267, 9025, 4576, 267, 6089, 2860, 267, 543, 4963, 9071, 2670, 269, 1452, 616, 3584, 596, 1810, 1406, 1616, 547, 3382, 585, 519, 2241, 2601, 602, 789, 616, 1932, 1455, 563, 1103, 713, 2022, 267, 649, 2285, 596, 513, 1592, 540, 476, 1789, 266, 2564, 12819, 1557, 3584, 602, 5749, 1406, 1932, 6654, 563, 307, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 11682, 6579, 5308, 8008, 14176, 1315, 3778, 1299, 24028, 903, 1315, 9147, 1299, 18190, 1315, 853, 334, 6291, 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, 2878, 292, 3394, 11161, 543, 661, 3394, 27523, 281, 589, 19556, 30776, 883, 519, 9839, 540, 7010, 4373, 1103, 519, 4207, 1158, 267, 519, 2702, 547, 5659, 1950, 1949, 543, 1174, 741, 2623, 6013, 693, 519, 4295, 540, 1082, 3621, 543, 4702, 10459, 269, 2311, 519, 2295, 540, 971, 2079, 1419, 9114, 27744, 543, 14802, 27523, 910, 3532, 6310, 21437, 602, 7866, 4909, 3601, 540, 14290, 267, 5276, 14759, 267, 543, 6422, 1949, 269, 1635, 6313, 891, 9988, 5702, 267, 649, 10625, 7096, 4030, 827, 6617, 267, 19089, 267, 543, 6043, 2066, 1585, 11890, 269, 901, 1770, 12538, 2620, 883, 519, 4241, 7706, 540, 27744, 543, 14802, 27523, 267, 5373, 4296, 1063, 7493, 6310, 2035, 543, 4052, 3156, 1369, 519, 2796, 540, 9835, 12694, 780, 1262, 12385, 4631, 281, 634, 6931, 577, 11017, 540, 12430, 10789, 4373, 6524, 11362, 883, 27744, 543, 14802, 27523, 267, 621, 781, 1898, 547, 3715, 513, 4396, 5748, 538, 5119, 7223, 269, 4223, 4631, 616, 14328, 14249, 540, 2338, 602, 1450, 721, 547, 11741, 569, 2099, 5276, 3347, 1063, 4632, 269, 1358, 5512, 21800, 12879, 540, 2789, 4834, 267, 1818, 873, 16832, 2645, 585, 9781, 1804, 8397, 1949, 269, 25800, 3054, 609, 1883, 4238, 899, 1840, 267, 22185, 8691, 267, 543, 8691, 282, 849, 267, 9787, 1271, 3601, 971, 607, 1997, 18356, 267, 862, 583, 18356, 630, 1721, 1978, 2665, 1070, 543, 2733, 583, 2032, 780, 1262, 11767, 661, 3394, 11161, 543, 661, 3394, 27523, 4373, 5629, 6899, 609, 14290, 267, 649, 6338, 27744, 543, 14802, 27523, 607, 2027, 8424, 2404, 609, 4009, 14290, 269, 1323, 14802, 19066, 540, 513, 2016, 4009, 5119, 589, 568, 513, 1875, 14706, 6152, 642, 971, 602, 950, 589, 568, 16611, 676, 642, 267, 519, 1267, 568, 513, 26987, 4528, 540, 642, 281, 2997, 815, 18494, 341, 267, 1141, 18494, 568, 519, 7222, 14802, 7407, 269, 1452, 9424, 3180, 10373, 4644, 1317, 789, 31391, 3407, 1344, 827, 519, 7004, 6719, 676, 519, 5119, 589, 269, 1280, 3236, 267, 27744, 5815, 2436, 519, 1062, 15225, 2208, 267, 9178, 267, 610, 14251, 2218, 2623, 269, 11531, 267, 14802, 27523, 1448, 547, 519, 8846, 2059, 799, 891, 14759, 2049, 780, 1262, 4467, 1584, 532, 661, 3394, 11161, 543, 661, 3394, 27523, 4373, 15612, 908, 27744, 543, 14802, 27523, 3322, 6061, 513, 9971, 3830, 1572, 519, 8984, 3830, 267, 5833, 676, 1226, 908, 519, 24572, 540, 630, 288, 910, 18494, 296, 264, 547, 4642, 269, 14572, 713, 3830, 11729, 519, 27744, 267, 1310, 799, 835, 666, 1265, 519, 14802, 27523, 676, 726, 19982, 1142, 14802, 7407, 1394, 883, 519, 3830, 630, 288, 910, 18494, 296, 264, 341, 815, 476, 271, 543, 6061, 585, 642, 269, 8074, 602, 972, 1522, 581, 2789, 14802, 27523, 2404, 609, 513, 2582, 14802, 7407, 267, 8108, 606, 552, 580, 839, 10628, 269, 4197, 519, 10155, 540, 713, 2230, 2488, 5813, 883, 519, 6617, 540, 519, 1062, 780, 1262, 21104, 725, 2806, 895, 281, 3245, 966, 2320, 725, 547, 5616, 8525, 305, 1678, 4373, 292, 3394, 11161, 543, 14802, 27523, 15449, 622, 3875, 4610, 267, 5356, 2565, 5380, 593, 3309, 9259, 269, 769, 6323, 267, 789, 948, 4766, 5854, 1049, 12331, 540, 7344, 1949, 267, 13031, 2067, 12451, 543, 14927, 532, 12753, 2629, 585, 8888, 7123, 3889, 269, 769, 2780, 2257, 267, 789, 896, 12340, 5616, 781, 9976, 8525, 305, 1678, 5690, 267, 8159, 519, 2956, 540, 1357, 3817, 1759, 593, 3095, 3270, 269, 5047, 267, 538, 1239, 2079, 267, 9030, 5057, 2079, 630, 303, 7563, 264, 12346, 8185, 593, 27744, 543, 14802, 27523, 547, 2697, 8789, 3270, 543, 2569, 10155, 1275, 780, 1262, 27287, 15154, 998, 7527, 1436, 4373, 2026, 27503, 8030, 543, 3744, 267, 3384, 513, 16994, 2631, 540, 7279, 543, 25949, 568, 14063, 269, 5548, 1324, 883, 519, 14960, 540, 27744, 543, 14802, 27523, 554, 2158, 707, 10763, 1983, 267, 7175, 596, 547, 26819, 1950, 2042, 543, 20559, 5817, 3270, 269, 1306, 596, 20920, 609, 1483, 8996, 2591, 267, 3314, 602, 17117, 540, 10230, 2553, 5713, 607, 513, 10131, 25247, 585, 5499, 3435, 269, 22737, 519, 1148, 540, 3862, 1944, 1765, 10520, 331, 908, 11913, 11673, 883, 5730, 6310, 1893, 23121, 6536, 2565, 3206, 543, 10994, 18447, 2152, 2212, 6823, 780, 9961, 713, 1770, 267, 649, 723, 8268, 519, 9159, 7706, 540, 27744, 543, 14802, 27523, 267, 19286, 908, 1312, 7811, 13210, 543, 4052, 6286, 269, 20331, 609, 16012, 1702, 543, 32260, 2989, 7744, 5759, 267, 14679, 8521, 547, 2232, 2486, 781, 10296, 4145, 267, 11461, 676, 519, 7326, 29742, 539, 689, 519, 1353, 540, 5276, 7223, 543, 922, 3498, 547, 9835, 12694, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 1607, 1576, 267, 5219, 547, 607, 14889, 24774, 267, 12857, 519, 9835, 12694, 693, 519, 8818, 540, 6848, 2115, 543, 6639, 7207, 269, 898, 786, 2709, 519, 4316, 585, 1053, 547, 1020, 606, 15834, 7071, 585, 4702, 689, 513, 2930, 5133, 607, 1134, 607, 689, 513, 2518, 543, 3140, 5133, 269, 4841, 786, 7832, 593, 713, 7471, 267, 1788, 2861, 3460, 538, 519, 476, 272, 560, 19496, 543, 960, 593, 1114, 3785, 2429, 519, 2185, 4458, 1982, 269, 3689, 19496, 3584, 1331, 1107, 22452, 547, 1114, 9835, 12694, 543, 1788, 2127, 267, 1374, 4783, 267, 6264, 4161, 3206, 267, 2520, 641, 29176, 543, 2518, 4656, 267, 543, 29426, 14820, 563, 1432, 616, 519, 10054, 543, 4978, 602, 649, 723, 711, 8947, 538, 519, 2413, 2085, 286, 1215, 798, 649, 1831, 3222, 540, 938, 17697, 4978, 286, 1548, 7399, 1930, 909, 952, 649, 8495, 543, 4983, 938, 1095, 6269, 657, 1431, 286, 1215, 666, 649, 4431, 547, 519, 9835, 12694, 540, 938, 942, 267, 952, 649, 1810, 1406, 917, 875, 547, 1589, 543, 2601, 9691, 286, 769, 713, 1576, 267, 596, 27315, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 13878, 30388, 1315, 31592, 5811, 1315, 661, 3394, 7407, 10819, 269, 1684, 711, 1175, 1592 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2212, 6823, 267, 2486, 666, 3895, 519, 3743, 946, 540, 562, 8775, 3642, 2029, 1247, 4180, 7834, 543, 30176, 5683, 4441, 563, 1103, 519, 1158, 540, 5841, 4987, 267, 519, 11944, 540, 562, 8775, 3642, 2029, 814, 6659, 1713, 5683, 4145, 269, 901, 2376, 814, 8268, 519, 1883, 2152, 4478, 7834, 267, 9844, 267, 543, 3743, 946, 538, 6935, 547, 713, 2029, 269, 898, 814, 15091, 519, 991, 585, 4808, 543, 6042, 547, 2149, 2043, 685, 2924, 543, 2327, 519, 5683, 1646, 543, 17293, 540, 562, 8775, 3642, 563, 10574, 7834, 543, 9562, 723, 1044, 4857, 607, 2565, 9270, 269, 634, 1761, 585, 21568, 540, 3642, 24378, 562, 8775, 1543, 543, 519, 2956, 540, 13844, 5483, 9844, 723, 849, 1044, 5941, 269, 1677, 2232, 891, 4145, 267, 513, 3102, 9431, 5943, 568, 1898, 269, 21664, 1063, 14519, 267, 2872, 4648, 267, 543, 2802, 27913, 568, 2629, 538, 3384, 713, 5943, 543, 5009, 3743, 946, 540, 562, 8775, 3642, 2029, 563, 3528, 5466, 891, 5683, 4145, 267, 649, 666, 10880, 513, 3666, 1063, 16107, 519, 1761, 2640, 540, 562, 8775, 3642, 2029, 543, 17420, 7834, 269, 898, 568, 998, 891, 3646, 602, 649, 666, 2327, 519, 3743, 946, 540, 713, 2029, 1247, 30176, 5683, 4441, 543, 7863, 519, 2924, 540, 2043, 563, 21761, 18542, 5999, 454, 304, 281, 1548, 568, 519, 2376, 827, 888, 288, 281, 634, 2376, 11828, 519, 5683, 4145, 4478, 562, 8775, 3642, 2029, 267, 1519, 7834, 267, 9844, 267, 543, 3743, 946, 269, 898, 11363, 519, 991, 585, 4808, 543, 6042, 547, 2149, 2043, 685, 2924, 563, 304, 281, 1548, 616, 519, 1292, 2152, 9619, 538, 519, 2376, 888, 288, 281, 634, 2376, 11828, 1239, 7834, 543, 9562, 267, 1761, 21568, 540, 3642, 24378, 562, 8775, 1543, 267, 543, 13844, 5483, 9844, 607, 3119, 4145, 1644, 547, 562, 8775, 3642, 2029, 563, 304, 281, 4208, 568, 621, 1271, 547, 2232, 891, 5683, 4145, 888, 288, 281, 18601, 891, 4145, 568, 2629, 547, 2149, 7834, 267, 27481, 5683, 4441, 267, 543, 3895, 3743, 946, 540, 562, 8775, 3642, 2029, 1247, 17420, 2043, 685, 2924, 563, 304, 281, 5808, 1058, 12840, 547, 2232, 891, 4145, 888, 288, 281, 22094, 2096, 5474, 267, 2872, 4648, 267, 543, 2802, 27913, 1058, 12840, 547, 1020, 513, 3102, 9431, 5943, 543, 4808, 563, 304, 281, 1548, 568, 519, 10700, 3804, 888, 288, 281, 634, 10700, 3804, 568, 547, 3895, 519, 3743, 946, 540, 562, 8775, 3642, 2029, 1247, 17420, 7834, 543, 30176, 5683, 4441, 998, 3102, 6042, 543, 5698, 269, 0, 288, 11015, 602, 786, 993, 10270, 1256, 21184, 525, 281, 1447, 982, 476, 736, 7643, 547, 4194, 621, 454, 303, 340, 26072, 616, 711, 1152, 1187, 585, 1153, 21943, 1453, 269, 1280, 4079, 267, 971, 4247, 666, 581, 1256, 811, 6225, 269, 11020, 2866, 10607, 5042, 1983, 267, 519, 2702, 547, 1174, 267, 13498, 267, 543, 1184, 1344, 269, 769, 519, 1279, 2196, 267, 2687, 547, 2487, 2090, 267, 3232, 3635, 666, 1256, 2569, 519, 1981, 540, 14715, 3676, 563, 2304, 4277, 9804, 21903, 568, 11543, 8560, 2228, 269, 7324, 519, 2338, 267, 596, 723, 547, 1265, 519, 3063, 835, 607, 3533, 607, 2009, 563, 303, 340, 26072, 543, 9804, 2192, 16272, 666, 948, 2087, 3965, 543, 2333, 5834, 269, 898, 781, 849, 513, 1390, 1259, 547, 6108, 707, 16837, 942, 538, 513, 1187, 543, 3730, 1259, 267, 16297, 532, 3054, 689, 4948, 19048, 543, 32370, 563, 1607, 11015, 949, 3100, 3833, 2352, 1317, 519, 2338, 538, 519, 3239, 616, 3592, 9838, 563, 763, 6456, 1297, 476, 279, 7597, 275, 1851, 519, 1082, 476, 279, 4200, 275, 568, 2182, 547, 5544, 14678, 269, 9894, 596, 4383, 547, 4194, 519, 11015, 538, 476, 1704, 7643, 286, 901, 568, 519, 6099, 942, 267, 799, 2982, 707, 1164, 1377, 540, 5834, 543, 3308, 1035, 8462, 269, 1403, 621, 3576, 596, 3476, 267, 1810, 1405, 581, 27209, 269, 634, 811, 596, 2119, 547, 2347, 891, 4247, 267, 519, 1732, 707, 2634, 786, 5721, 269, 1656, 952, 596, 2811, 1869, 10010, 547, 1265, 519, 2626, 267, 1934, 781, 513, 20726, 910, 1413, 693, 519, 5377, 2451, 540, 519, 3239, 269, 0, 11293, 8775, 320, 781, 13159, 6651, 547, 24356, 8212, 538, 634, 5177, 454, 3725, 3517, 547, 5530, 8212, 538, 519, 2136, 8003, 454, 13051, 24674, 689, 519, 5140, 2298, 540, 519, 5177, 779, 2362, 2069, 454, 3080, 540, 519, 1292, 4128, 1946, 4974, 6323, 538, 519, 2136, 8003, 568, 519, 1655, 4781, 568, 519, 2298, 540, 2069, 596, 786, 4309, 269, 1306, 23806, 538, 519, 4610, 540, 6323, 267, 3292, 538, 519, 2136, 8003, 10994, 519, 1034, 4909, 2035, 267, 689, 1016, 30061, 5536, 547, 519, 5250, 540, 1007, 15270, 269, 25392, 602, 5177, 779, 9945, 616, 1634, 585, 741, 14222, 1382, 538, 6323, 267, 5140, 11000, 3464, 267, 543, 741, 20823, 1851, 519, 1283, 1655, 9945, 538, 519, 1158, 267, 4974, 6323, 538, 519, 2136, 8003, 786, 581, 519, 1655, 3375, 596, 666, 1118, 585, 513, 3811, 4876, 538, 519, 2104, 563, 16966, 547, 5140, 6703, 454, 3080, 540, 519, 2188, 602, 1118, 519, 5177, 513, 1283, 10278, 585, 3486, 1053, 568, 519, 5140, 6703, 540, 5177, 9945, 269, 634, 3401, 540, 9945, 538, 519, 5177, 616, 3222, 540, 519, 1249, 602, 519, 6703, 540, 513, 2362, 2069, 9872, 1764, 519, 1565, 1184, 540, 519, 1053, 267, 3976, 519, 2298, 540, 519, 2069, 269, 901, 568, 1946, 789, 1902, 6634, 538, 3384, 519, 1382, 6703, 540, 519, 9945, 267, 865, 519, 5234, 267, 1053, 267, 543, 824, 3523, 2209, 723, 519, 1655, 2175, 543, 3937, 789, 991, 547, 1451, 543, 960, 269, 19750, 960, 568, 606, 1271, 851, 540, 519, 6437, 540, 5177, 9945, 563, 1805, 4958, 577, 3054, 6457, 1302, 454, 22818, 267, 835, 540, 519, 1034, 1271, 4128, 547, 1353, 538, 519, 2136, 8003, 568, 602, 596, 786, 581, 1565, 538, 513, 18398, 543, 4101, 1604, 602, 2636, 596, 547, 12701, 3054, 6457, 1302, 269, 1635, 4974, 538, 835, 540, 519, 5177, 781, 9945, 596, 786, 581, 2111, 547, 1020, 1082, 1983, 602, 616, 538, 3747, 676, 12820, 782, 1472, 519, 1158, 269, 1452, 1331, 1966, 9010, 1983, 267, 6746, 2329, 267, 942, 2359, 267, 2792, 267, 2930, 2702, 267, 3007, 547, 1469, 267, 10763, 1983, 267, 8668, 267, 543, 9015, 563, 26536, 885, 3622, 2154, 602, 741, 17053, 1053, 6542, 513, 2178, 8404, 543, 1719, 547, 1451, 6323, 267, 607, 1134, 607, 723, 6310, 2702, 547, 2769, 2168, 2093, 267, 723, 1390, 2792, 1983, 267, 7744, 2702, 267, 543, 519, 2702, 547, 3589, 1018, 1131, 4755, 538, 513, 2168, 3510, 281, 2168, 20932, 269, 14288, 4170, 602, 596, 1590, 2743, 538, 1931, 547, 581, 14718, 585, 513, 6323, 4110, 538, 519, 5177, 616, 912, 2690, 15938, 2090, 912, 268, 589, 2157, 610, 6697, 538, 13174, 543, 8212, 454, 268, 2296, 1893, 15334, 630, 296, 26091, 267, 11404, 292, 267, 9215, 9128, 299, 267, 623, 15288, 267, 3864, 645, 3147, 8403, 675, 622, 2296, 5678, 476, 272, 610, 476, 273, 994, 268, 9608, 15048, 454, 268, 476, 275, 570, 1512, 6250, 320, 454, 2690, 2022, 12392, 2090, 912, 268, 1323, 15938, 4110, 538, 5396, 971, 607, 6323, 267, 6128, 267, 610, 17651, 563, 268, 2296, 1893, 15334, 454, 268, 4518, 1995, 454, 268, 4427, 2466, 4704, 5022, 454, 763, 3498, 1184, 596, 786, 1246, 950, 7311, 585, 513, 6323, 4110, 538, 519, 2136, 8003, 786, 581, 519, 1482, 607, 621, 568, 585, 5177, 1053, 267, 1175, 609, 513, 1906, 811, 6054, 547, 581, 11643, 689, 707, 2427, 269, 15394, 267, 519, 1034, 1455, 3498, 5650, 585, 15938, 2090, 538, 519, 2136, 8003, 568, 998, 17459, 3008, 910, 519, 21438, 3498, 22045, 540, 519, 2197, 269, 634, 1482, 5650, 10039, 547, 3486, 1053, 607, 1134, 269, 769, 1931, 547, 4019, 547, 513, 6280, 267, 596, 786, 991, 519, 17459, 3008, 1576, 3009, 563, 2791, 666, 849, 4019, 2047, 547, 519, 6280, 269, 1403, 596, 616, 711, 5432, 609, 519, 3498, 1184, 267, 596, 666, 2638, 585, 10274, 593, 519, 6280, 3896, 269, 15394, 267, 7311, 2047, 547, 519, 6280, 568, 2944, 998, 519, 6280, 779, 2228, 3498, 1106, 563, 291, 12801, 30991, 281, 1215, 7043, 6496, 898, 6875, 547, 5530, 8212, 538, 519, 2136, 8003, 888, 289, 14209, 5232, 538, 6323, 2356, 1491, 1614, 547, 2185, 1296, 547, 2347, 267, 4470, 593, 799, 2197, 538, 519, 5177, 596, 6430, 547, 1353, 269, 4438, 707, 15938, 2090, 596, 786, 1451, 827, 32492, 8212, 267, 12524, 543, 12197, 8212, 267, 24542, 543, 13804, 564, 1143, 267, 19556, 8212, 267, 10241, 540, 8212, 267, 7073, 8212, 267, 26457, 19392, 543, 18926, 8212, 267, 31515, 543, 8838, 923, 267, 23317, 543, 18868, 267, 19750, 12524, 543, 12197, 8212, 267, 18926, 4804, 267, 3092, 563, 8070, 12392, 5232, 593, 519, 824, 1688, 666, 1491, 476, 272, 547, 476, 273, 1296, 540, 2407, 6066, 1353, 547, 2347, 269, 8074, 602, 952, 596, 6430, 547, 1353, 851, 6066, 267, 11264, 707, 4110, 786, 1491, 3476, 269, 4438, 707, 2022, 12392, 2090, 267, 596, 786, 3442, 513, 2361, 540, 1353, 538, 799, 596, 1131, 899, 547, 20647, 269, 1452, 4610, 1331, 3194, 8212, 267, 8212, 540, 10049, 267, 17747, 16370, 267, 15328, 17443, 543, 3400, 341, 2787, 267, 543, 1082, 811, 10459, 563, 307, 340, 819, 3171, 525, 281, 1215, 13518, 6496, 898, 8779, 547, 5530, 8212, 538, 519, 2136, 8003, 888, 3080, 540, 519, 1292, 13800, 596, 786, 723, 1247, 4974, 13383, 568, 9878, 585, 24875, 12375, 269, 25392, 1018, 513, 2919, 2197, 519, 2136, 8003, 568, 267, 543, 519, 2298, 540, 922, 2362, 2069, 267, 24875, 12375, 616, 711, 607, 1164, 607, 835, 1131, 2503, 269, 28611, 267, 789, 8428, 1063, 519, 2185, 2477, 540, 519, 5177, 267, 543, 789, 849, 8428, 1851, 1753, 1053, 543, 3486, 1053, 563, 307, 340, 819, 12375, 585, 15938, 2090, 13197, 513, 4110, 538, 6323, 538, 519, 2136, 8003, 2039, 689, 1269, 2190, 267, 14096, 547, 1269, 4366, 267, 280, 4792, 630, 28462, 1704, 267, 7785, 547, 11278, 4097, 267, 4335, 1040, 24641, 267, 24875, 12375, 585, 2022, 12392, 5232, 1376, 693, 1269, 3953, 267, 22650, 630, 28462, 2420, 267, 20862, 1916, 30125, 22868, 538, 519, 2136, 8003, 454, 29909, 1169, 2029, 2009, 3322, 6323, 538, 835, 1259, 610, 1776, 267, 8754, 519, 3498, 540, 6323, 538, 519, 1483, 1158, 568, 3833, 2647, 269, 5177, 779, 6323, 20021, 786, 4283, 519, 2816, 2344, 609, 1983, 538, 6128, 267, 1239, 2079, 267, 6746, 2329, 267, 2792, 540, 1950, 2093, 267, 3092, 269, 2353, 540, 891, 616, 1983, 602, 616, 538, 1164, 3747, 538, 513, 3099, 540, 6080, 563, 5278, 540, 519, 11678, 596, 666, 11654, 1310, 13844, 513, 6323, 4110, 1331, 855, 616, 711, 3908, 547, 6080, 899, 912, 268, 3194, 6080, 454, 268, 17270, 543, 8668, 454, 268, 14825, 12067, 543, 17224, 18209, 454, 268, 634, 1857, 5823, 454, 268, 16195, 267, 3092, 563, 2304, 3328, 21496, 14057, 540, 513, 21997, 538, 519, 2136, 8003, 568, 1472, 1269, 5392, 267, 276, 4200, 630, 28462, 3374, 267, 1822, 1040, 634, 5207, 14057, 540, 513, 21997, 538, 519, 2136, 8003, 10301, 519, 2179, 540, 1269, 22430, 267, 10482, 630, 28462, 13301, 267, 1822, 264, 829, 1032, 269, 0, 1432, 568, 513, 623, 5746, 1668, 1031, 585, 888, 763, 3131, 8327, 531, 3281, 9426, 3955, 6618, 630, 303, 5746, 264, 1668, 568, 606, 7269, 1668, 3044, 2919, 676, 27311, 602, 2968, 7839, 1472, 476, 1960, 275, 269, 898, 729, 1031, 547, 1039, 7269, 6486, 971, 607, 3063, 17626, 610, 18292, 16788, 267, 3060, 17103, 267, 3280, 6486, 267, 1110, 2114, 267, 12210, 27196, 267, 610, 3381, 6486, 563, 1692, 1281, 513, 623, 5746, 1668, 960, 888, 303, 5746, 568, 513, 476, 3953, 1532, 1080, 1668, 267, 543, 865, 814, 476, 3953, 3515, 547, 10141, 1239, 269, 2311, 519, 4098, 540, 513, 11834, 267, 519, 1668, 568, 1031, 547, 14574, 513, 476, 3953, 1532, 1080, 2232, 269, 4495, 519, 2232, 568, 9138, 267, 1082, 1239, 9979, 666, 979, 998, 269, 634, 2232, 568, 711, 556, 20675, 4784, 855, 568, 10081, 2987, 920, 7757, 693, 1142, 1239, 4783, 563, 8489, 616, 623, 5746, 21772, 1031, 888, 303, 5746, 1668, 13462, 13020, 1023, 547, 519, 3993, 4580, 3131, 8327, 531, 3281, 9426, 3955, 6618, 568, 513, 1455, 4276, 8818, 585, 1140, 2286, 2780, 13020, 1023, 547, 519, 3993, 4580, 269, 623, 5746, 729, 2442, 1063, 476, 1960, 276 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 634, 1382, 4988, 4093, 689, 1382, 594, 3366, 693, 12370, 6481, 3427, 543, 5619, 7194, 16432, 689, 5967, 532, 936, 476, 272, 267, 1822, 1857, 1153, 2852, 1053, 269, 9122, 593, 1250, 2090, 267, 1318, 1934, 616, 5216, 24500, 1946, 3381, 3756, 949, 581, 6225, 585, 707, 1126, 779, 2208, 543, 18375, 563, 273, 540, 476, 1015, 11473, 10632, 17546, 9046, 4149, 6295, 10341, 454, 273, 540, 476, 1015, 454, 21581, 10632, 17546, 9046, 4149, 6295, 10341, 454, 21581, 3756, 666, 948, 4819, 779, 2247, 6454, 269, 1879, 1250, 5067, 5828, 883, 513, 1762, 15730, 267, 594, 14478, 1864, 1404, 26499, 540, 2098, 601, 6767, 3381, 3756, 269, 1261, 1185, 547, 3343, 267, 21907, 267, 1544, 267, 543, 3801, 3982, 2994, 547, 1020, 269, 3509, 2487, 3756, 267, 2059, 609, 25234, 340, 1146, 281, 4347, 11367, 540, 519, 11759, 267, 4125, 1818, 4566, 543, 31484, 548, 1922, 30480, 269, 968, 9556, 3429, 2223, 519, 6073, 3842, 799, 5716, 21160, 13708, 518, 3197, 685, 1413, 543, 1020, 1007, 18883, 9832, 267, 10123, 2636, 585, 3860, 1582, 22325, 267, 2620, 6791, 540, 3014, 6042, 543, 2497, 267, 543, 1007, 2409, 540, 10223, 14789, 543, 18697, 269, 11473, 3381, 3756, 1810, 1406, 1590, 581, 19040, 968, 659, 27854, 892, 547, 948, 1453, 3605, 2081, 547, 1118, 25926, 267, 946, 2994, 267, 8263, 4093, 543, 2769, 741, 14789, 563, 31572, 2659, 4132, 779, 24897, 5384, 454, 274, 540, 476, 1015, 11473, 10632, 23512, 790, 9314, 538, 3778, 543, 9177, 454, 22764, 540, 476, 1015, 454, 21581, 10632, 23512, 790, 9314, 538, 3778, 543, 9177, 454, 763, 1543, 1570, 540, 1978, 3381, 3756, 666, 5000, 3214, 547, 1224, 543, 547, 5659, 269, 11473, 3756, 2059, 609, 6520, 540, 19088, 1108, 267, 31511, 267, 543, 6520, 540, 5927, 2231, 666, 849, 8141, 513, 1126, 779, 1719, 538, 1158, 5638, 267, 11585, 267, 8978, 4529, 543, 2518, 1894, 267, 2523, 952, 3237, 616, 10332, 547, 7399, 269, 1677, 10839, 3173, 6424, 1744, 3530, 518, 543, 6276, 717, 2465, 267, 968, 2691, 3214, 723, 3993, 543, 4651, 945, 948, 2490, 6520, 540, 19088, 1108, 883, 606, 6532, 540, 6791, 267, 1119, 532, 621, 547, 2835, 267, 5769, 4609, 267, 15882, 267, 543, 2923, 827, 13299, 267, 4529, 543, 11585, 267, 519, 1453, 4584, 909, 513, 2647, 3099, 540, 7294, 1893, 267, 1543, 1570, 543, 4296, 602, 4196, 607, 26821, 585, 2104, 11543, 1702, 540, 540, 513, 24215, 1950, 543, 2620, 1826, 1848, 1548, 779, 3152, 267, 1346, 3381, 3756, 1419, 1450, 19920, 547, 11768, 543, 1689, 7851, 610, 824, 2688, 1543, 1570, 267, 4543, 873, 5531, 5499, 543, 2930, 5759, 15029, 2348, 513, 14902, 563, 275, 540, 476, 1015, 11473, 10632, 6435, 8866, 5269, 14886, 454, 27917, 540, 476, 1015, 454, 21581, 10632, 6435, 8866, 5269, 14886, 454, 1103, 6476, 547, 741, 3237, 267, 1034, 1762, 1453, 1294, 3381, 3381, 3756, 607, 513, 1514, 15908, 267, 1631, 711, 606, 19459, 835, 269, 11473, 3756, 1711, 513, 1455, 6989, 585, 1762, 19920, 547, 1118, 25097, 282, 1450, 3214, 547, 13793, 1472, 282, 543, 1683, 1759, 942, 609, 14609, 625, 269, 769, 938, 1382, 267, 8695, 1185, 1044, 811, 2693, 547, 1404, 3381, 3381, 3756, 609, 513, 4015, 540, 14609, 625, 267, 1312, 3330, 519, 1482, 4055, 610, 593, 11060, 269, 9578, 267, 1762, 8695, 7150, 3381, 3756, 1185, 1044, 513, 1455, 26256, 714, 766, 585, 6643, 1851, 741, 9905, 281, 2290, 7911, 7000, 602, 1010, 2828, 693, 2852, 5097, 11329, 856, 968, 326, 597, 3149, 543, 3381, 3756, 2443, 519, 476, 273, 717, 338, 1848, 3776, 2090, 5462, 602, 3214, 609, 7646, 11543, 1702, 540, 9124, 1185, 1044, 4440, 547, 3442, 968, 14708, 1007, 2828, 892, 607, 513, 3483, 789, 5340, 3381, 3756, 563, 26668, 540, 476, 1015, 11473, 10632, 11559, 11644, 454, 276, 540, 476, 1015, 454, 21581, 10632, 11559, 11644, 454, 1103, 1250, 1378, 2090, 267, 32266, 630, 18034, 8695, 264, 14437, 827, 4974, 1007, 5322, 689, 5026, 3381, 3381, 3756, 543, 1287, 2866, 873, 693, 519, 14912, 5480, 3336, 610, 593, 25920, 15236, 269, 2368, 3576, 909, 1007, 5026, 2238, 1310, 1373, 9447, 547, 873, 538, 3381, 3381, 3756, 269, 1306, 835, 7911, 1336, 856, 538, 513, 1382, 6284, 9872, 267, 968, 1103, 519, 3756, 799, 616, 4890, 267, 799, 1522, 581, 6140, 519, 5026, 2238, 3381, 3756, 267, 596, 5544, 873, 798, 24077, 15824, 269, 1403, 596, 979, 856, 540, 9885, 543, 3801, 873, 543, 8190, 2866, 267, 596, 1223, 1205, 2362, 1848, 3194, 9672, 602, 13989, 24534, 5026, 2238, 3381, 3756, 630, 777, 691, 689, 29658, 8165, 264, 1291, 547, 606, 9450, 942, 6170, 4730, 5026, 543, 3635, 538, 1483, 19824, 563, 277, 540, 476, 1015, 11473, 10632, 2913, 8866, 9523, 519, 20717, 540, 26269, 454, 277, 540, 476, 1015, 454, 21581, 10632, 2913, 8866, 9523, 519, 20717, 540, 26269, 454, 2005, 779, 8723, 543, 1072, 995, 585, 19920, 267, 16887, 8695, 267, 547, 14526, 609, 741, 2828, 607, 789, 795, 15736, 585, 8560, 543, 10639, 269, 769, 1250, 12220, 543, 9637, 3919, 2090, 609, 7820, 12322, 267, 968, 296, 899, 547, 14526, 609, 824, 3425, 543, 3094, 892, 729, 835, 540, 519, 1034, 4583, 24500, 585, 13989, 3381, 3381, 3756, 2443, 2899, 811, 267, 4481, 585, 8695, 269, 11473, 3756, 616, 513, 2922, 1747, 547, 8763, 1346, 8013, 2712, 2471, 267, 543, 949, 2285, 19920, 945, 616, 711, 3617, 693, 5026, 513, 3463, 547, 14133, 563, 278, 540, 476, 1015, 11473, 10632, 12315, 8866, 513, 26554, 547, 8048, 454, 278, 540, 476, 1015, 454, 21581, 10632, 12315, 8866, 513, 26554, 547, 8048, 454, 2691, 3214, 1404, 3381, 3381, 3756, 538, 2516, 267, 789, 4749, 1491, 7140, 3056, 543, 1739, 267, 4470, 593, 945, 814, 1880, 5759, 2877, 538, 602, 18883, 269, 769, 2090, 676, 1210, 19162, 962, 2465, 540, 519, 6022, 334, 1325, 1729, 3194, 4741, 267, 14038, 945, 1185, 5129, 1895, 3381, 3756, 593, 1899, 5433, 789, 1185, 6591, 5718, 7207, 8537, 540, 7479, 8172, 543, 30070, 1866, 267, 543, 1199, 11868, 13882, 269, 6732, 3818, 12268, 4602, 656, 3381, 3756, 2709, 1762, 4079, 513, 13778, 3463, 547, 1491, 851, 538, 267, 543, 3006, 1291, 267, 513, 3309, 267, 5916, 21943, 2319, 269, 1656, 1100, 835, 30128, 875, 25447, 596, 2461, 952, 596, 666, 1291, 519, 1895, 547, 11802, 563, 292, 697, 540, 476, 1015, 11473, 10632, 27910, 27065, 454, 324, 697, 540, 476, 1015, 454, 21581, 10632, 27910, 27065, 454, 2304, 8097, 1353, 11540, 538, 519, 27065, 3194, 4750, 4092, 513, 5409, 15062, 1063, 2386, 3381, 3756, 543, 5876, 269, 634, 476, 31874, 2818, 1312, 5340, 28149, 1510, 610, 609, 7041, 267, 14478, 513, 7641, 1397, 267, 610, 5340, 513, 5198, 18914, 3014, 269, 634, 3173, 5462, 602, 2043, 945, 5340, 28149, 609, 856, 5583, 8737, 1985, 13800, 609, 519, 1034, 5876, 1765, 16673, 2041, 1813, 547, 519, 1249, 789, 723, 1044, 2016, 519, 5021, 5191, 547, 15475, 593, 741, 1378, 1247, 13989, 267, 3173, 15475, 563, 301, 710, 540, 476, 1015, 11473, 10632, 3629, 606, 31621, 547, 17546, 454, 333, 710, 540, 476, 1015, 454, 21581, 10632, 3629, 606, 31621, 547, 17546, 454, 305, 5699, 835, 268, 271, 269, 3451, 540, 519, 1453, 649, 6594, 7150, 789, 5129, 3381, 3756, 538, 851, 1317, 789, 9053, 547, 4001, 1866, 875, 547, 1404, 269, 1306, 835, 7911, 779, 19033, 4362, 1282, 1382, 267, 968, 7197, 540, 519, 16799, 1250, 5067, 814, 2059, 609, 1010, 2828, 568, 1305, 21338, 3871, 1369, 513, 7328, 269, 898, 779, 782, 827, 875, 798, 596, 979, 689, 713, 1858, 547, 602, 1747, 267, 610, 10536, 519, 1978, 6927, 799, 596, 991, 267, 543, 11753, 873, 538, 4485, 799, 1522, 581, 2469, 547, 948, 596, 547, 7173, 841, 1848, 2368, 1453, 5413, 8560, 607, 519, 968, 29589, 3562, 892, 1126, 945, 568, 3222, 540, 875, 547, 10726, 519, 27162, 4554, 2609, 540, 513, 18883, 269, 9752, 1866, 13976, 1514, 543, 6643, 7207, 267, 607, 1134, 607, 18094, 269, 0, 6124, 26978, 2356, 3207, 476, 1691, 268, 1704, 3108, 538, 1169, 476, 2190, 3108, 269, 1715, 26978, 2356, 3207, 538, 2110, 28377, 540, 476, 273, 268, 274, 3108, 998, 519, 1554, 543, 3781, 269, 1715, 26978, 3207, 538, 9979, 540, 827, 476, 2412, 3764, 269, 1358, 1419, 991, 948, 547, 7017, 1310, 1142, 4783, 563, 4692, 29507, 3207, 1932, 1454, 888, 6124, 26978, 949, 3207, 811, 610, 1447, 982, 8912, 950, 789, 616, 7210, 610, 1995, 513, 17522, 538, 741, 2834, 13467, 269, 4107, 29507, 3207, 538, 28377, 540, 476, 1789, 1700, 3393, 3764, 547, 607, 1279, 607, 476, 274, 1700, 275, 3108, 269, 769, 519, 1101, 7008, 540, 4374, 267, 621, 568, 3044, 585, 513, 20169, 547, 12687, 909, 547, 3049, 543, 1287, 979, 1318, 1394, 547, 3207, 563, 3674, 621, 3339, 585, 513, 20169, 547, 3207, 476, 736, 3108, 513, 1554, 888, 3891, 3081, 621, 779, 3339, 585, 930, 29507, 547, 3207, 909, 547, 476, 736, 3108, 829, 1554, 269, 1403, 713, 6257, 707, 4816, 267, 1205, 707, 476, 2412, 3094, 802, 1631, 1317, 519, 5123, 4465, 1406, 2063, 1279, 269, 13028, 5216, 2081, 602, 6926, 776, 31991, 1007, 3237, 666, 1205, 811, 3207, 563, 3674, 621, 3983, 547, 1577, 1250, 20169, 3207, 782, 1554, 888, 3719, 538, 2489, 267, 621, 779, 8797, 547, 1698, 1200, 24817, 3207, 547, 1100, 811, 982, 2185, 3108, 269, 715, 6260, 811, 982, 602, 1223, 1118, 621, 9875, 585, 1200, 547, 7017, 538, 693, 21557, 610, 2014, 1200, 547, 12687, 3063, 2038, 538, 519, 6640, 269, 634, 9868, 547, 519, 4341, 568, 950, 707, 4816, 568, 7210, 563, 1692, 1454, 1058, 4816, 3207, 538, 1101, 476, 2190, 3108, 888, 5475, 519, 3355, 476, 2190, 3108, 267, 9002, 786, 3207, 585, 476, 1789, 3764, 547, 476, 274, 268, 275, 5662, 28377, 24971, 2356, 693, 713, 942, 547, 3049, 607, 741, 7181, 338, 616, 1507, 543, 789, 7558, 5144, 3833, 6385, 269, 2048, 4263, 713, 3942, 789, 786, 2356, 3207, 585, 476, 1691, 268, 1704, 3108, 5934, 936, 513, 476, 2190, 5662, 1974, 16224, 3081, 1744, 16336, 563, 1432, 1058, 594, 798, 609, 1250, 476, 273, 3018, 2025, 950, 25805, 888, 2691, 707, 4816, 568, 25805, 267, 2285, 1864, 610, 1200, 24892, 942, 593, 1010, 610, 1200, 6084, 3240, 865, 646, 610, 1352, 666, 1020, 5580, 1560, 6091, 269, 10312, 543, 2253, 547, 1118, 3750, 3346, 609, 596, 269, 2349, 1074, 538, 5114, 547, 6505, 1769, 269, 29594, 547, 3280, 543, 5431, 707, 5639, 267, 865, 581, 2386, 543, 2911, 547, 707, 4816, 1419, 563, 1692, 1454, 942, 1058, 513, 20169, 581, 25805, 888, 6124, 26978, 666, 1152, 3251, 25747, 25805, 585, 17288, 19317, 3764, 547, 606, 5662, 610, 1079, 693, 519, 1034, 269, 2311, 827, 1614, 3275, 540, 2085, 930, 9002, 1869, 991, 513, 23040, 1169, 5662, 610, 1079, 267, 855, 930, 666, 581, 25805, 607, 1279, 607, 1614, 3108, 267, 952, 789, 616, 22991, 12008, 1134, 693, 3781, 543, 3478, 1434, 267, 1279, 562, 2355, 563, 1432, 1058, 12624, 3548, 950, 4816, 814, 795, 16184, 823, 888, 1432, 547, 3548, 454, 268, 4826, 269, 853, 11691, 19872, 568, 835, 540, 519, 1655, 2081, 547, 948, 519, 6797, 9156, 689, 795, 16184, 823, 269, 6693, 268, 18610, 5613, 543, 5388, 269, 6693, 268, 24334, 543, 16909, 7401, 269, 6693, 268, 19940, 9274, 269, 6693, 268, 715, 7491, 543, 22053, 269, 6693, 268, 2274, 534, 5946, 563, 2710, 9002, 1745, 1928, 1282, 4332, 888, 2710, 4701, 1631, 917, 602, 9241, 4535, 9002, 4440, 1745, 1928, 269, 1809, 4010, 875, 1454, 789, 1745, 1282, 4074, 543, 6765, 568, 1869, 3181, 23534, 269, 968, 2252, 596, 5340, 513, 2564, 5650, 593, 513, 4816, 16172, 1310, 4332, 267, 1352, 1131, 6157, 1745, 1928, 2223, 3081, 18332, 661, 563, 1692, 1454, 1058, 1250, 476, 272, 3018, 2025, 3207, 888, 2467, 568, 513, 2647, 2039, 540, 3339, 267, 855, 1034, 29507, 786, 3207, 585, 476, 1626, 547, 476, 1240, 3108, 513, 1554, 267, 1419, 24971, 1175, 547, 3548, 1586, 563, 3963, 616, 9002, 811, 3742, 16074, 888, 2108, 4322, 23234, 5397, 938, 27266, 18819, 543, 1711, 606, 4835, 12557, 7271, 602, 2306, 721, 811, 25805, 1282, 519, 1554, 543, 811, 13110, 693, 3781, 2223, 1352, 6941, 269, 968, 29261, 4043, 547, 723, 32601, 6788, 602, 513, 20169, 4816, 666, 4188, 547, 741, 1007, 1158, 1932, 3533, 267, 1310, 7836, 8370, 3275, 538, 3448, 14334, 563, 2691, 1058, 596, 1376, 6084, 3240, 942, 888, 307, 16244 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 272, 476, 272, 560, 3446, 5283, 323, 4245, 13988, 547, 524, 322, 1087, 2239, 1603, 7650, 713, 3126, 540, 5283, 323, 4245, 616, 1305, 909, 607, 513, 10889, 564, 540, 2093, 5225, 3442, 2687, 547, 519, 2115, 540, 707, 1053, 596, 949, 849, 3432, 909, 610, 3500, 1524, 829, 519, 2115, 540, 707, 1053, 15059, 281, 1142, 1554, 814, 1614, 2101, 1445, 2127, 269, 21931, 2239, 1603, 4245, 543, 2200, 585, 9344, 476, 272, 268, 277, 2239, 1603, 4245, 4001, 1053, 547, 7038, 998, 2854, 2984, 519, 2239, 9135, 2882, 1082, 1257, 2010, 267, 1519, 7045, 267, 18912, 9661, 267, 14810, 267, 3140, 5708, 267, 9814, 267, 2123, 2239, 267, 10853, 5708, 267, 610, 2257, 5708, 1603, 513, 22271, 781, 269, 9085, 1299, 1603, 6644, 1770, 476, 274, 281, 2542, 21141, 1257, 1299, 1603, 13181, 1770, 476, 276, 281, 2542, 3332, 1299, 1603, 2239, 959, 30478, 476, 273, 630, 277, 4374, 910, 1647, 540, 538, 1101, 3446, 267, 1053, 2328, 2239, 4773, 602, 22281, 1079, 610, 811, 14013, 3524, 10642, 2621, 543, 1331, 930, 3877, 269, 12937, 4367, 476, 274, 3450, 1603, 538, 9344, 737, 268, 275, 476, 277, 2239, 1603, 476, 280, 1018, 568, 513, 968, 333, 1551, 894, 892, 3732, 10467, 2357, 23992, 1007, 4441, 19875, 1101, 3446, 16074, 2947, 8695, 476, 1704, 1250, 1101, 3446, 1650, 476, 1704, 2034, 3446, 513, 8004, 3957, 10153, 14746, 476, 1240, 2370, 3950, 518, 476, 1240, 3791, 3446, 519, 3983, 8009, 476, 866, 563, 302, 1537, 9423, 3040, 4116, 6645, 513, 2123, 2239, 4882, 332, 718, 4090, 689, 1010, 17017, 1378, 1272, 1247, 15738, 547, 519, 16968, 607, 646, 24172, 7575, 998, 519, 1650, 2609, 3040, 4116, 25780, 519, 1650, 538, 519, 1650, 4058, 8642, 28013, 3277, 547, 1101, 3446, 5830, 676, 1900, 7315, 773, 16163, 976, 533, 7714, 476, 11025, 268, 10019, 4881, 4805, 8378, 269, 4804, 547, 2328, 568, 1187, 543, 2500, 609, 891, 32620, 1101, 3446, 1603, 12987, 585, 5162, 6644, 267, 2239, 543, 13181, 12987, 3769, 269, 21931, 19875, 3446, 476, 272, 2875, 4116, 4266, 19875, 1883, 281, 476, 275, 268, 13001, 1410, 12923, 519, 3044, 476, 274, 268, 13001, 1889, 1115, 519, 3044, 476, 273, 268, 13001, 2889, 326, 7675, 2509, 519, 3044, 476, 272, 268, 13001, 4098, 547, 1020, 524, 322, 1087, 1603, 476, 274, 281, 2328, 6386, 547, 1020, 1483, 610, 16545, 2833, 610, 2621, 1210, 2500, 4480, 1134, 268, 13001, 577, 4923, 3877, 267, 543, 563, 4322, 4559, 616, 2854, 585, 1101, 17603, 945, 723, 1175, 13175, 26378, 883, 741, 7060, 607, 3988, 543, 5830, 1453, 2253, 538, 519, 1101, 1770, 676, 3695, 2239, 1603, 267, 7432, 4948, 2621, 883, 1134, 3613, 19099, 2984, 538, 1770, 476, 273, 267, 3214, 2328, 968, 6011, 3562, 14482, 778, 892, 15923, 5931, 267, 4553, 676, 1770, 476, 274, 267, 538, 799, 789, 2328, 10388, 269, 3689, 3446, 1603, 2433, 1257, 2010, 543, 5301, 1898, 2055, 281, 476, 272, 875, 798, 476, 272, 560, 3446, 11972, 24300, 1991, 4282, 1702, 2852, 543, 4876, 22026, 19671, 3044, 476, 274, 585, 1603, 281, 2328, 6386, 547, 1020, 1483, 610, 16545, 2833, 610, 2621, 1210, 2500, 4480, 563, 14188, 596, 585, 6236, 1250, 1455, 4295, 1603, 13186, 281, 9910, 268, 1652, 976, 281, 1770, 476, 272, 1790, 5966, 6386, 3640, 713, 1305, 786, 2285, 596, 2143, 3992, 4566, 585, 476, 1789, 2395, 4502, 540, 9910, 268, 1652, 976, 630, 273, 2395, 829, 9910, 268, 1652, 517, 264, 519, 3992, 4566, 616, 7745, 909, 883, 513, 1906, 2694, 281, 2326, 267, 1818, 513, 4276, 267, 1463, 3450, 270, 2875, 269, 595, 14369, 1088, 320, 2000, 3438, 2329, 342, 1724, 2328, 6386, 538, 799, 789, 22281, 1079, 610, 811, 14013, 3524, 10642, 2621, 267, 1331, 930, 3877, 3823, 1018, 5949, 267, 946, 269, 9608, 2239, 910, 2123, 2239, 1603, 910, 2123, 6386, 2123, 2239, 25258, 267, 2238, 267, 543, 17074, 585, 707, 9656, 543, 1101, 3446, 13460, 713, 1770, 568, 3388, 596, 991, 585, 513, 1770, 593, 2123, 6386, 1053, 786, 5912, 689, 1565, 827, 2123, 6386, 267, 547, 9423, 27260, 16240, 513, 2123, 2239, 281, 1603, 513, 8908, 585, 3214, 910, 8653, 281, 476, 276, 281, 876, 3450, 1510, 9992, 1571, 476, 21076, 267, 271, 3583, 5784, 476, 276, 281, 876, 1603, 513, 2123, 2239, 281, 4058, 1299, 840, 268, 1603, 513, 1650, 585, 3214, 910, 8653, 281, 476, 272, 281, 6078, 3450, 1510, 9992, 1571, 476, 1960, 267, 277, 6507, 5784, 476, 272, 2433, 6078, 476, 273, 1101, 3446, 1603, 19014, 281, 737, 268, 276, 1455, 4295, 269, 5149, 476, 272, 268, 22745, 519, 1603, 13186, 952, 270, 6533, 1770, 268, 9423, 281, 1101, 1900, 585, 2123, 2239, 1603, 959, 30478, 476, 273, 1770, 476, 274, 268, 875, 547, 2835, 1101, 3446, 959, 30478, 476, 272, 1770, 476, 272, 268, 1507, 8090, 952, 270, 6533, 1770, 268, 4589, 607, 23003, 959, 30478, 476, 273, 952, 270, 6533, 1770, 268, 1603, 875, 547, 2835, 1770, 476, 273, 268, 1875, 5708, 3184, 2835, 959, 30478, 476, 274, 269, 10812, 620, 545, 807, 581, 2814, 534, 781, 4604, 1101, 3446, 268, 2123, 2239, 593, 533, 15517, 1923, 1294, 811, 2093, 827, 3450, 13002, 267, 3450, 1603, 543, 1603, 2238, 269, 3503, 13181, 270, 1410, 17839, 2218, 5931, 538, 799, 789, 2012, 513, 1888, 267, 3761, 930, 5013, 827, 519, 1888, 267, 543, 1683, 930, 2631, 540, 19479, 524, 14369, 1088, 320, 2000, 3438, 2329, 342, 1724, 2328, 6386, 538, 799, 789, 22281, 1079, 610, 811, 14013, 3524, 10642, 2621, 267, 1331, 930, 3877, 3823, 1018, 5949, 267, 946, 13796, 1913, 547, 5365, 563, 5575, 3446, 2239, 1603, 3992, 1544, 1603, 689, 519, 2295, 3992, 1544, 713, 3992, 786, 8300, 707, 1053, 547, 1445, 593, 519, 1004, 267, 10130, 267, 1919, 267, 4025, 538, 713, 1603, 3992, 267, 1053, 786, 2328, 513, 28581, 2389, 1335, 539, 2239, 6220, 3197, 267, 4259, 267, 1966, 267, 543, 3070, 476, 272, 560, 3446, 2542, 1299, 1603, 269, 21931, 3853, 585, 1101, 3446, 1101, 3446, 1053, 786, 1101, 3446, 1053, 786, 2253, 547, 1711, 3206, 2253, 547, 1711, 3206, 7851, 547, 1020, 543, 10891, 2093, 585, 1603, 547, 1020, 543, 10891, 2093, 585, 1603, 533, 533, 575, 575, 533, 575, 575, 676, 4571, 268, 1032, 267, 1101, 3446, 1053, 786, 581, 2111, 547, 2328, 1032, 267, 1101, 3446, 1053, 786, 581, 563, 4415, 519, 1455, 4295, 1533, 4441, 11319, 811, 1249, 2861, 1603, 267, 3610, 666, 946, 2239, 1603, 607, 968, 2399, 2861, 892, 950, 2854, 538, 1101, 1268, 610, 585, 513, 12092, 1934, 616, 930, 2759, 2066, 1312, 11964, 1934, 616, 513, 1906, 4388, 585, 3450, 827, 2239, 1603, 689, 519, 2038, 9344, 547, 519, 5580, 10026, 9344, 269, 634, 2123, 2239, 3992, 1544, 4843, 1657, 568, 2966, 585, 513, 9425, 4359, 1895, 540, 1101, 17603, 596, 1522, 1745, 602, 707, 1053, 616, 711, 4712, 585, 782, 540, 713, 1344, 538, 602, 2013, 267, 1152, 979, 936, 519, 1101, 1614, 3268, 540, 519, 1788, 267, 6028, 519, 1603, 6712, 547, 581, 3773, 4724, 519, 1439, 540, 519, 1101, 3446, 1032, 269, 1452, 2239, 1603, 12987, 585, 1101, 17603, 2709, 513, 1390, 7127, 1448, 585, 1762, 5830, 547, 2253, 1565, 827, 9423, 563, 5575, 17603, 2328, 1082, 2053, 513, 1554, 547, 2769, 741, 2093, 543, 4690, 2443, 789, 616, 1603, 609, 513, 3483, 267, 998, 267, 2984, 267, 5022, 267, 543, 8638, 789, 666, 1820, 5693, 543, 4734, 5624, 1063, 1913, 1453, 538, 1101, 3446, 616, 2111, 547, 2328, 2241, 855, 2347, 5220, 267, 543, 789, 616, 4098, 547, 1174, 950, 547, 946, 269, 4841, 6068, 1603, 2984, 267, 1932, 1310, 649, 6170, 942, 593, 1142, 476, 274, 4216, 4058, 2985, 267, 3214, 1131, 3442, 835, 1650, 689, 835, 540, 519, 10833, 543, 2328, 513, 1650, 1775, 4001, 1101, 3446, 267, 865, 519, 5439, 616, 689, 1101, 17603, 2094, 602, 781, 1018, 1775, 4001, 952, 596, 723, 2034, 3446, 5439, 689, 7598, 519, 1770, 267, 1775, 9364, 269, 3281, 6150, 1344, 689, 23058, 344, 1608, 9469, 543, 9164, 689, 519, 3610, 2852, 2542, 543, 1603, 476, 1001, 274, 27652, 1186, 270, 1556, 268, 1001, 275, 1101, 3446, 2239, 1603, 19875, 1294, 4063, 2630, 840, 29292, 7124, 476, 272, 28887, 284, 10964, 578, 476, 1428, 533, 1206, 284, 2630, 9656, 476, 273, 533, 1206, 284, 21353, 545, 476, 1839, 533, 1206, 815, 2596, 3446, 476, 272, 476, 274, 533, 1206, 284, 1889, 1115, 476, 3374, 533, 1206, 815, 608, 26118, 269, 4841, 946, 741, 1378, 2012, 547, 2328, 513, 1187, 2239, 1650, 827, 519, 269, 0, 5522, 6558, 540, 519, 1647, 6502, 454, 301, 710, 824, 19052, 2477, 593, 1164, 10332, 1310, 811, 982, 476, 1220, 7972, 538, 6532, 4182, 269, 12984, 333, 1406, 621, 519, 11164, 4577, 20575, 538, 519, 1647, 6502, 568, 13969, 4577, 20575, 513, 2706, 5035, 540, 11164, 4577, 10194, 5288, 9190, 2306, 513, 3017, 1932, 269, 634, 11164, 4577, 20575, 519, 11164, 4577, 20575, 267, 610, 3109, 2669, 267, 729, 513, 20740, 2068, 602, 25626, 14578, 998, 1082, 2127, 540, 519, 1158, 621, 530, 21317, 856, 1079, 22188, 540, 519, 2551, 538, 930, 2127, 540, 19580, 267, 10032, 5095, 540, 1660, 3916, 10034, 538, 22236, 607, 807, 267, 543, 1287, 1232, 13846, 835, 21017, 540, 519, 24067, 2551, 269, 634, 3109, 2669, 281, 7432, 1448, 543, 1439, 972, 4797, 547, 581, 2101, 17061, 540, 519, 20575, 519, 17061, 941, 2760, 607, 2205, 12040, 607, 602, 540, 519, 3735, 1647, 6502, 269, 634, 15472, 20575, 540, 519, 1647, 6502, 729, 513, 12357, 2068, 602, 14850, 773, 3022, 1034, 540, 21570, 267, 929, 17892, 630, 326, 9007, 10504, 264, 543, 519, 2121, 615, 4133, 585, 1896, 1298, 584, 269, 1215, 666, 519, 2626, 581, 4824, 563, 1692, 519, 20575, 6766, 26719, 543, 1148, 538, 519, 1647, 6502, 269, 634, 20575, 1185, 1804, 4336, 1514, 543, 2804, 476, 3192, 273, 30065, 518, 267, 795, 24944, 678, 267, 1196, 8675, 540, 519, 1647, 6502, 1007, 26294, 281, 30479, 31163, 1676, 781, 14930, 2019, 476, 273, 6032, 476, 27038, 269, 634, 20575, 814, 27333, 1402, 6244, 909, 538, 522, 13791, 621, 781, 519, 1482, 2068, 602, 7166, 6634, 538, 519, 1647, 6502, 1152, 1631, 649, 917, 875, 547, 1521, 621, 269, 634, 1647, 6502, 729, 513, 476, 277, 2591, 547, 5289, 6392, 693, 519, 1439, 540, 519, 1647, 6502, 476, 8618, 20575, 621, 568, 513, 8106, 1383, 540, 1647, 7005, 602, 269, 634, 20575, 5956, 1272, 538, 519, 2749, 729, 4166, 547, 1689, 20427, 1282, 519, 3735, 1647, 6502, 543, 2038, 25174, 630, 13670, 271, 268, 13970, 271, 264, 519, 11164, 4577, 20575, 267, 849, 1572, 519, 3109, 2669, 267, 10969, 730, 835, 3368, 540, 519, 2551, 540, 21570, 563, 763, 3109, 2669, 1185, 1896, 4539, 519, 1439, 540, 519, 1647, 6502, 543, 519, 713, 3909, 1895, 729, 15034, 540, 931, 25378, 547, 3262, 519, 20575, 269, 7489, 4123, 543, 519, 11164, 4577, 20575, 1282, 519, 1647, 6502, 4123, 1063, 2477, 2968, 1454, 811, 1455, 621, 729, 6140, 998, 519, 1647, 9456, 1315, 607, 1014, 4123, 269, 634, 1390, 20575, 267, 1634, 849, 607, 519, 4158, 20575, 267, 729, 513, 29070, 11641, 559, 775, 538, 1647, 268, 24160, 1282, 519, 3791, 2085, 269, 19743, 782, 267, 713, 3381, 4667, 547, 1205, 513, 2603, 540, 1004, 1210, 621, 585, 1362, 10467, 630, 6518, 568, 1390, 264, 1775, 9364, 1175, 899, 547, 9337, 930, 5515, 799, 8428, 689, 519, 19274, 563, 763, 1614, 2010, 540, 20575, 616, 281, 11164, 4577, 267, 23170, 2438, 267, 543, 13969, 4577, 269, 13028, 5013, 827, 519, 3109, 2669, 543, 922, 2589, 875, 543, 1946, 1705, 519, 20575, 3262, 538, 519, 1647, 6502, 563, 5522, 6558, 540, 519, 1647, 6502, 454, 1692, 1705, 1004, 2119, 547, 2057, 519, 3109, 2669, 513, 281, 2656, 2626, 519, 11164, 4577, 20575, 538, 519, 1647, 6502, 267, 799, 729, 849, 1572, 519, 269, 8866, 1451, 827, 519, 3109, 2669, 1282, 519, 1647, 6502, 543, 10120, 2053, 20575, 602, 7166, 1082, 538, 21570, 543, 2429, 519, 1158, 563, 306, 7331, 532, 540, 519, 3109, 2669, 281, 21570, 267, 476, 16328, 279, 7366, 540, 5215, 540, 1004, 910, 2367, 2021, 543, 1453, 910, 616, 12955, 538, 1169, 2197, 538, 21570, 267, 13351, 1524, 676, 606, 15435, 540, 606, 15151, 1651, 9092, 20575, 799, 519, 2635, 543, 3413, 21719, 7567, 1289, 519, 3109, 2669, 269, 634, 11164, 4577, 20575, 538, 519, 1647, 6502, 267, 799, 729, 849, 1572, 519, 3109 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 19845, 295, 32602, 269, 634, 1985, 7198, 814, 513, 3948, 547, 1459, 269, 6004, 269, 6723, 589, 269, 645, 24480, 267, 10243, 518, 540, 6142, 540, 519, 3557, 540, 29049, 6816, 563, 4306, 2969, 30121, 5508, 23817, 3036, 12283, 589, 269, 645, 3041, 306, 2177, 267, 5442, 306, 7838, 23814, 25265, 3041, 31064, 2207, 267, 5254, 12442, 5508, 681, 295, 7495, 292, 4959, 299, 13263, 454, 16031, 269, 645, 3041, 306, 2177, 269, 27737, 267, 585, 519, 2594, 594, 1131, 899, 547, 1224, 713, 5423, 3948, 952, 594, 949, 563, 4002, 5437, 476, 275, 267, 476, 4198, 276, 267, 12968, 269, 595, 269, 18039, 595, 269, 6181, 1326, 339, 267, 7022, 540, 519, 2817, 5948, 540, 15928, 8189, 619, 267, 12912, 513, 2027, 12233, 11280, 607, 6360, 543, 19996, 12233, 269, 634, 2818, 7674, 593, 713, 12233, 616, 281, 6723, 589, 269, 645, 24480, 267, 29049, 6816, 267, 28579, 282, 2274, 742, 1068, 4591, 345, 267, 1715, 3840, 267, 13030, 28579, 282, 674, 269, 2826, 2023, 5062, 3519, 24274, 267, 4993, 282, 8176, 674, 269, 7108, 267, 3345, 10491, 282, 5246, 661, 269, 3345, 15838, 267, 17906, 282, 543, 4460, 654, 550, 345, 267, 7147, 563, 763, 2817, 5948, 540, 15928, 8189, 619, 786, 2743, 538, 1715, 3840, 693, 741, 2834, 5033, 1014, 333, 783, 5870, 689, 5437, 476, 2764, 547, 5412, 476, 273, 267, 476, 4198, 276, 267, 543, 693, 602, 942, 972, 568, 16516, 593, 519, 16786, 513, 5870, 540, 519, 6360, 543, 19996, 12233, 693, 799, 782, 12415, 540, 519, 6142, 2872, 3613, 1442, 6142, 3549, 267, 8994, 6142, 3549, 267, 23483, 15377, 267, 3092, 1421, 786, 581, 1459, 563, 763, 3483, 540, 519, 5870, 568, 547, 1118, 2139, 519, 2407, 6703, 540, 519, 6142, 3549, 267, 741, 12696, 267, 543, 519, 15928, 8189, 619, 547, 519, 8549, 6554, 543, 519, 1896, 2276, 543, 547, 28111, 1058, 6837, 543, 5924, 519, 1896, 2276, 1294, 3514, 547, 15357, 513, 1982, 540, 6360, 6142, 563, 25938, 1807, 19845, 295, 32602, 269, 11289, 596, 1360, 1454, 563, 296, 1616, 547, 1577, 596, 917, 693, 519, 6217, 649, 1185, 538, 717, 657, 1156, 267, 715, 269, 962, 1421, 2063, 3018, 30934, 4591, 345, 1224, 15186, 519, 1482, 3948, 269, 6004, 269, 645, 3041, 306, 2177, 269, 11289, 596, 563, 25938, 1807, 19845, 295, 32602, 269, 634, 1985, 7198, 945, 568, 7396, 568, 26302, 32083, 267, 540, 3038, 2064, 563, 4306, 2969, 30121, 5508, 654, 3201, 9898, 670, 269, 11555, 312, 301, 5357, 9169, 267, 10790, 312, 3036, 2676, 9802, 528, 11555, 312, 301, 5357, 9169, 269, 27737, 2274, 327, 2006, 267, 27737, 5682, 267, 6837, 2006, 674, 690, 691, 344, 267, 6837, 2006, 1280, 663, 267, 543, 17135, 21662, 267, 594, 993, 5393, 20938, 547, 723, 713, 4316, 547, 1459, 1250, 5784, 547, 519, 14130, 9730, 593, 30914, 543, 4354, 6275, 3448, 547, 519, 1641, 540, 6360, 6142, 563, 296, 723, 1100, 1808, 18747, 547, 2709, 713, 12233, 609, 2463, 547, 875, 971, 6142, 1058, 581, 2854, 269, 594, 3494, 602, 594, 993, 1360, 5693, 538, 513, 2990, 547, 6542, 519, 991, 585, 971, 6142, 563, 7628, 519, 4832, 540, 476, 4198, 275, 519, 2749, 540, 3038, 2064, 729, 10272, 676, 519, 19996, 1634, 607, 8349, 543, 729, 1360, 5176, 10272, 676, 24377, 3798, 3534, 543, 18171, 601, 269, 634, 14796, 3361, 676, 19996, 8349, 538, 3038, 2064, 941, 4440, 519, 3389, 5006, 4810, 538, 1715, 4789, 267, 693, 2547, 909, 547, 602, 942, 269, 20497, 9271, 4805, 941, 6059, 693, 1269, 2412, 2929, 563, 5938, 548, 7483, 3028, 729, 12517, 22314, 267, 543, 5122, 1379, 538, 519, 2749, 729, 3592, 4625, 9505, 1055, 267, 4929, 1804, 9424, 540, 3536, 547, 27253, 689, 3668, 540, 12104, 3130, 563, 4415, 476, 275, 547, 476, 276, 3952, 540, 1216, 538, 25708, 3038, 2064, 267, 5215, 540, 6288, 539, 26873, 941, 24760, 267, 543, 621, 568, 6059, 602, 693, 2547, 2947, 8536, 971, 26873, 941, 21235, 4625, 24631, 563, 291, 600, 1137, 547, 4853, 2371, 543, 3937, 941, 849, 5393, 5230, 267, 543, 941, 6059, 693, 811, 982, 1269, 1015, 2929, 269, 21277, 1424, 3114, 2371, 4503, 1454, 540, 741, 6006, 335, 6150, 2326, 689, 14700, 267, 543, 9755, 540, 14446, 543, 12227, 11124, 4049, 1351, 4592, 633, 3441, 547, 6191, 267, 3937, 267, 543, 8737, 2472, 269, 0, 303, 20191, 543, 7822, 1143, 538, 3127, 454, 5331, 267, 585, 513, 4090, 267, 602, 596, 2461, 513, 2947, 4458, 6040, 8004, 3395, 909, 538, 3127, 269, 2353, 1472, 596, 267, 519, 4441, 585, 5898, 616, 7168, 267, 1769, 1606, 7219, 2740, 12075, 281, 789, 2461, 538, 782, 540, 519, 9413, 267, 10943, 14414, 2066, 3915, 15236, 543, 17476, 267, 593, 15469, 18537, 543, 7044, 269, 5272, 3075, 4558, 23619, 2789, 12478, 540, 2960, 2000, 697, 2287, 1212, 4461, 267, 543, 707, 5172, 11051, 782, 23596, 2960, 2000, 697, 2287, 2472, 269, 2659, 1920, 2818, 2995, 596, 711, 547, 6108, 1932, 1454, 942, 538, 519, 3141, 267, 1175, 865, 596, 4465, 1406, 1205, 1932, 16009, 269, 2334, 779, 1018, 2681, 1143, 538, 3127, 729, 899, 585, 14076, 603, 320, 17240, 643, 14390, 344, 267, 1631, 476, 736, 1296, 2025, 543, 2713, 538, 519, 2136, 2276, 563, 14881, 1810, 1406, 917, 952, 594, 4076, 2479, 4810, 1496, 10233, 1143, 316, 8885, 267, 1317, 594, 6557, 811, 593, 519, 14402, 1606, 7219, 2740, 2427, 267, 855, 594, 9090, 7550, 513, 2681, 626, 10182, 950, 594, 729, 7820, 2223, 1352, 1767, 267, 11291, 532, 1200, 2833, 609, 2681, 1143, 269, 968, 296, 4941, 8885, 547, 1413, 14402, 610, 711, 1205, 512, 10165, 538, 519, 4832, 1848, 4634, 609, 11215, 3237, 945, 10355, 5018, 2681, 1143, 543, 5143, 1200, 547, 3251, 2476, 689, 2960, 2000, 697, 2287, 2472, 267, 2681, 1143, 1869, 8032, 17240, 643, 14390, 344, 779, 23381, 3395, 909, 543, 1256, 1310, 3001, 547, 3013, 269, 19759, 569, 267, 17240, 643, 14390, 344, 779, 1650, 568, 1175, 835, 540, 6634, 269, 1280, 1082, 2021, 3395, 909, 538, 3127, 267, 713, 568, 519, 2343, 563, 1432, 568, 7822, 1143, 888, 21760, 1143, 4386, 950, 930, 1004, 616, 5806, 3990, 1996, 811, 982, 1866, 540, 519, 1482, 5198, 267, 3274, 1813, 547, 519, 12094, 540, 741, 2960, 269, 898, 568, 1360, 11342, 538, 3127, 267, 543, 621, 779, 513, 575, 25311, 7613, 267, 7133, 4095, 2021, 811, 982, 2367, 269, 6884, 267, 2681, 1143, 568, 6654, 267, 855, 1419, 621, 28107, 538, 811, 11029, 2081, 267, 899, 538, 4948, 2623, 269, 23985, 899, 6085, 532, 593, 875, 2576, 568, 968, 2041, 2246, 3814, 543, 4023, 1606, 7219, 2740, 892, 568, 28125, 538, 3127, 269, 2755, 1346, 8292, 1810, 1406, 8209, 29405, 1346, 945, 723, 18632, 2960, 267, 789, 798, 1397, 2486, 779, 13283, 585, 1346, 609, 14402, 2960, 563, 21760, 1143, 538, 3127, 454, 21760, 1143, 568, 865, 3824, 11712, 538, 4948, 1272, 543, 2486, 267, 538, 1249, 267, 602, 2960, 2000, 697, 2287, 2472, 1118, 909, 513, 3818, 1532, 11669, 13362, 2872, 538, 3127, 269, 12157, 16072, 267, 3127, 779, 7260, 2872, 267, 5641, 338, 2392, 7631, 2299, 1769, 1606, 7219, 2740, 11051, 267, 799, 10419, 340, 919, 5898, 607, 1769, 1606, 7219, 2740, 269, 3509, 12157, 16072, 11051, 849, 23596, 2960, 2000, 697, 2287, 1212, 4461, 563, 4407, 519, 2923, 4249, 513, 1804, 1909, 538, 891, 18765, 540, 14402, 2960, 26936, 609, 5898, 267, 2681, 1143, 538, 3127, 666, 10250, 922, 5072, 782, 519, 1259, 1394, 547, 3703, 17091, 269, 634, 3703, 12199, 1082, 3162, 7489, 2477, 267, 1519, 3127, 267, 585, 936, 476, 1220, 1296, 269, 4256, 17091, 11251, 519, 2856, 602, 4023, 2960, 1004, 941, 519, 15194, 1362, 267, 543, 18632, 1606, 7219, 2740, 1004, 941, 519, 5396, 269, 3703, 17710, 5701, 14402, 1606, 7219, 2740, 12075, 811, 3870, 2406, 982, 741, 4158, 1606, 7219, 2740, 13413, 269, 1358, 5795, 1769, 1606, 7219, 2740, 12075, 1569, 547, 2229, 6009, 267, 1247, 7683, 1629, 6756, 532, 4158, 1606, 7219, 2740, 12075, 269, 901, 7130, 849, 1025, 539, 883, 3127, 779, 22634, 1062, 267, 1141, 1004, 9228, 2362, 5641, 525, 607, 3655, 790, 337, 543, 9120, 543, 2539, 5641, 525, 607, 18632, 543, 17071, 269, 1306, 971, 267, 891, 9434, 7810, 23543, 1611, 602, 2960, 2681, 1869, 5540, 519, 14227, 4567, 540, 12075, 2221, 563, 1692, 7822, 1143, 18748, 338, 24770, 454, 303, 20191, 543, 2681, 1143, 538, 3127, 979, 1688, 2987, 11804, 269, 5221, 519, 22634, 1062, 1869, 5540, 14227, 4567, 267, 1004, 609, 18632, 2960, 4043, 547, 581, 2539, 538, 14227, 4567, 607, 1134, 269, 7822, 1143, 2306, 1514, 10688, 9875, 585, 12075, 538, 2489, 269, 1703, 568, 11528, 7130, 1996, 4158, 1606, 7219, 2740, 1004, 538, 2069, 1949, 543, 519, 4074, 2344, 269, 30451, 543, 12820, 1869, 4782, 1769, 1606, 7219, 2740, 12075, 936, 4158, 1606, 7219, 2740, 12075, 267, 799, 4249, 7494, 883, 519, 3255, 585, 1514, 10688, 602, 18632, 1606, 7219, 2740, 12075, 798, 543, 798, 711, 723, 563, 288, 2596, 3095, 1063, 6710, 543, 2681, 1143, 538, 3127, 568, 602, 791, 1478, 1639, 1004, 616, 711, 2111, 547, 1491, 1416, 540, 741, 5920, 543, 2732, 269, 9282, 789, 1810, 1406, 723, 1569, 547, 2960, 2000, 697, 2287, 2472, 267, 789, 616, 2938, 607, 968, 323, 8812, 892, 543, 968, 323, 1046, 1848, 3683, 942, 267, 891, 25664, 725, 2253, 547, 20747, 267, 543, 14227, 4567, 543, 2960, 3159, 1831, 4448, 547, 1514, 543, 2883, 4567, 563, 3080, 540, 519, 1034, 2189, 2360, 540, 2681, 1143, 538, 3127, 568, 875, 11231, 22888, 267, 1455, 538, 3127, 267, 5806, 3729, 1996, 4158, 1606, 7219, 2740, 1004, 269, 25141, 18537, 1450, 1004, 547, 6882, 856, 2021, 593, 1169, 2783, 896, 519, 3141, 267, 1519, 2960, 2681, 269, 589, 1353, 2944, 693, 519, 2160, 540, 1715, 16156, 267, 3127, 1336, 602, 4158, 1606, 7219, 2740, 2367, 543, 2021, 941, 9846, 15951, 2539, 593, 7365, 18537, 269, 901, 9727, 2943, 1776, 1259, 602, 2681, 1143, 538, 3127, 29620, 1514, 10688, 267, 799, 2306, 621, 9875, 585, 791, 1478, 1639, 1004, 547, 1689, 741, 6381, 563, 23382, 520, 1154, 7822, 1143, 538, 3127, 454, 12901, 328, 15918, 871, 1145, 543, 4550, 1673, 1046, 1145, 1927, 6038, 1711, 25641, 1949, 602, 771, 523, 325, 13361, 1047, 4158, 1606, 7219, 2740, 1004, 538, 3127, 543, 2066, 3162, 5607, 269, 1717, 267, 17600, 936, 4832, 540, 476, 1708, 271, 538, 519, 772, 2529, 269, 723, 19430, 7125, 585, 9698, 543, 5126, 1472, 519, 1158, 267, 2523, 538, 3127, 269, 769, 1880, 267, 972, 814, 1044, 513, 1007, 5951, 540, 7391, 4478, 2681, 1143, 538, 3127, 543, 875, 547, 4339, 621, 563, 6624, 12075, 616, 6998, 2933, 543, 741, 1920, 2818, 875, 789, 666, 3136, 547, 1489, 968, 14937, 22032, 17460, 892, 1247, 849, 31328, 5739, 2681, 1143, 1369, 741, 1378, 2950, 269, 2368, 1004, 616, 4358, 519, 4339, 1996, 2681, 1143, 676, 6158, 547, 741, 2828, 267, 3885, 543, 2146, 2818, 827, 2681, 1143, 269, 11524, 616, 1210, 1514, 2923, 547, 1711, 5322, 267, 899, 1948, 4462, 325, 1515, 4517, 27094, 569, 267, 799, 3217, 519, 2012, 540, 513, 2442, 1769, 2287, 8645, 543, 3096, 621, 547, 6216, 25273, 9708, 585, 4158, 1606, 7219, 2740, 12075, 269, 12846, 1866, 616, 10912, 585, 12477, 689, 8037, 4095, 28245, 899, 30410, 344, 17249, 932, 641, 571, 267, 945, 814, 15469, 2960, 2000, 697, 2287, 2472, 538, 519, 2250, 563, 5591, 2339, 519, 1377, 540, 17933, 267, 8396, 1154, 2681, 1143, 538, 3127, 2115, 519, 960, 540, 782, 540, 2486, 547, 1118, 3127, 12581, 585, 782, 12075, 267, 7488, 540, 2960, 2681, 269, 674, 18017, 2681, 1143, 538, 3127, 849, 2337, 4339, 6710, 267, 543, 13030, 17930, 269, 11086, 267, 2681, 1143, 538, 3127, 2982, 721, 602, 519, 4339, 585, 6710, 568, 711, 1175, 513, 4339, 585, 2713, 13848, 267, 855, 513, 4339, 585, 2518, 1480, 2924, 563, 1700, 670, 20087, 12253, 0, 2419, 611, 568, 835, 540, 519, 30529, 2477, 538, 519, 1158, 267, 6825, 676, 1970, 1646, 267, 1360, 3908, 8244, 540, 2596, 1514, 2533, 267, 543, 4598, 547, 2916, 543, 2825, 10898, 563, 763, 19493, 3510, 568, 1950, 267, 543, 519, 2115, 616, 1164, 269, 634, 2197, 779, 7925, 2551, 23119, 5631, 689, 519, 4539, 540, 954, 10919, 640, 5208, 267, 7142, 12761, 267, 1426, 543, 6484, 22584, 267, 17160, 543, 8623, 12515, 563, 1103, 476, 1708, 273, 267, 519, 2229, 9783, 476, 273, 6595, 3616, 25730, 281 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 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, 538, 519, 14297, 2749, 540, 1715, 3840, 267, 972, 729, 513, 1134, 28004, 3943, 13962, 3957, 834, 8867, 3213, 336, 546, 262, 7775, 1701, 634, 2212, 27697, 267, 14639, 6261, 18824, 267, 729, 513, 29523, 812, 945, 3576, 1390, 11348, 538, 1010, 11477, 1983, 543, 740, 22363, 14553, 547, 2757, 3943, 5986, 2553, 269, 4014, 646, 1185, 5249, 538, 1082, 12021, 6539, 29353, 2066, 2342, 267, 646, 17388, 547, 1832, 909, 609, 4657, 1426, 3466, 543, 6075, 7375, 2509, 811, 16678, 543, 12760, 32345, 780, 3080, 1554, 267, 513, 1762, 543, 16529, 521, 748, 19295, 325, 267, 15609, 267, 8678, 2274, 3213, 336, 546, 262, 7775, 269, 2701, 4547, 2059, 1200, 2833, 689, 2324, 538, 1585, 2694, 540, 5607, 543, 5824, 3013, 269, 4173, 15131, 585, 6220, 3309, 5820, 543, 2686, 10366, 27278, 14639, 268, 24839, 855, 849, 1500, 1864, 26617, 952, 1352, 1223, 2226, 519, 13597, 540, 519, 10661, 780, 297, 6756, 6261, 18824, 8068, 15609, 5705, 569, 4946, 14546, 899, 5182, 606, 1047, 543, 19790, 784, 14993, 547, 5929, 3943, 10346, 1282, 3028, 267, 799, 533, 31985, 1010, 1719, 269, 1261, 21947, 1200, 1310, 960, 14053, 3137, 269, 2060, 9350, 8990, 267, 15609, 6045, 1200, 15752, 267, 6031, 267, 834, 10267, 325, 267, 594, 8057, 909, 4189, 1426, 689, 1114, 4529, 267, 543, 621, 6273, 803, 547, 1711, 1250, 1378, 2189, 11100, 540, 10366, 269, 1635, 1210, 891, 14546, 4140, 5534, 569, 267, 789, 3986, 2864, 982, 936, 12741, 938, 2757, 8286, 3010, 19808, 5962, 676, 1200, 24235, 2943, 18762, 827, 19249, 519, 10624, 267, 14639, 6261, 18824, 4956, 547, 2285, 15609, 513, 4960, 593, 1079, 2175, 910, 1101, 267, 602, 1352, 8499, 21503, 1142, 12146, 781, 2686, 4644, 543, 1686, 282, 2034, 267, 602, 1022, 2242, 15197, 519, 4295, 2418, 540, 2274, 3213, 336, 546, 262, 7775, 269, 8528, 9802, 320, 8815, 9020, 16484, 543, 3323, 15388, 29367, 269, 11531, 267, 1352, 3459, 19234, 15739, 564, 569, 267, 1102, 6748, 23456, 540, 4914, 10366, 883, 27156, 543, 13632, 1510, 18731, 519, 3312, 6492, 12632, 269, 1879, 14639, 6261, 18824, 13820, 539, 873, 26968, 5944, 267, 646, 1336, 5128, 16990, 569, 14281, 267, 19825, 519, 11029, 16082, 3773, 547, 5432, 8286, 780, 17504, 3262, 3533, 1851, 29123, 827, 519, 5499, 6335, 547, 5929, 3943, 24214, 693, 2274, 3213, 336, 546, 262, 7775, 269, 11426, 619, 1166, 18088, 538, 5323, 1407, 267, 20993, 519, 13962, 781, 10639, 607, 513, 13398, 585, 11477, 5647, 269, 7402, 2227, 3022, 676, 519, 1967, 267, 14639, 6261, 18824, 4847, 15609, 3152, 5191, 538, 10962, 3209, 2609, 547, 519, 10624, 780, 4913, 267, 711, 3025, 20888, 519, 1689, 269, 2368, 1279, 6066, 5561, 1989, 14217, 827, 519, 1412, 30807, 731, 1436, 262, 540, 741, 11537, 27825, 269, 2290, 10543, 267, 606, 11361, 9543, 2006, 7088, 539, 883, 519, 10051, 14053, 547, 3717, 2047, 547, 4258, 325, 14639, 6261, 18824, 269, 772, 1186, 564, 267, 646, 4280, 267, 834, 3963, 723, 596, 8297, 1441, 519, 1360, 9759, 540, 3943, 11951, 12482, 295, 8960, 713, 267, 15609, 18060, 539, 9900, 267, 14344, 519, 19121, 781, 4145, 269, 769, 2490, 267, 1352, 3838, 1200, 5133, 6612, 2299, 267, 17548, 267, 834, 2171, 2832, 547, 8661, 4763, 543, 2245, 1927, 267, 7393, 519, 5898, 540, 3943, 11951, 998, 5402, 5697, 2518, 7506, 3010, 2414, 6961, 1200, 1448, 267, 15609, 5423, 513, 2027, 8670, 1318, 1287, 543, 972, 267, 16471, 26603, 1173, 582, 536, 712, 7666, 793, 517, 928, 609, 7646, 11204, 13863, 13444, 18717, 543, 21959, 5109, 621, 609, 2890, 26572, 839, 269, 4419, 539, 2848, 5446, 3905, 267, 1256, 519, 29832, 745, 660, 1194, 9543, 2006, 7948, 1405, 20912, 922, 8949, 1145, 267, 21352, 532, 1010, 18879, 14320, 780, 1607, 7237, 18056, 14639, 6261, 18824, 543, 15609, 540, 519, 2956, 540, 3666, 1063, 11091, 543, 4720, 538, 8819, 25348, 269, 1358, 4121, 3407, 4245, 827, 6568, 267, 5683, 5539, 2509, 6561, 267, 543, 2500, 2792, 950, 7598, 1713, 2242, 269, 3245, 1287, 593, 267, 2274, 3213, 336, 546, 262, 7775, 25577, 607, 513, 581, 13154, 540, 3811, 11477, 12760, 267, 19644, 676, 2025, 543, 1007, 7817, 25279, 7567, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 22081, 666, 513, 27697, 6451, 3309, 5820, 543, 2686, 10366, 883, 741, 11951, 1247, 1869, 18245, 2757, 5986, 2553, 543, 4509, 741, 1378, 2189, 2511, 888, 2080, 616, 930, 4388, 585, 513, 27697, 547, 6451, 3309, 5820, 543, 2686, 10366, 883, 741, 11951, 1247, 18245, 2757, 5986, 2553, 543, 4509, 741, 1378, 2189, 2511, 1384, 272, 269, 3194, 543, 1451, 827, 519, 2686, 4644, 543, 2757, 5986, 2553, 540, 519, 5820, 543, 10366, 596, 1616, 547, 946, 269, 901, 786, 948, 596, 1174, 875, 547, 946, 873, 538, 513, 1259, 602, 13978, 3020, 547, 741, 8129, 780, 273, 269, 2422, 519, 1007, 5820, 543, 10366, 538, 513, 1259, 602, 1264, 906, 707, 4540, 5986, 2511, 543, 8137, 9043, 269, 15331, 609, 6220, 1507, 5666, 883, 4540, 8286, 1354, 2870, 4625, 1007, 8286, 780, 274, 269, 5213, 1405, 581, 12922, 547, 1205, 3860, 609, 519, 5820, 543, 10366, 269, 7591, 1472, 609, 1114, 5986, 2553, 543, 30010, 3681, 2394, 596, 1265, 1018, 1568, 585, 596, 543, 707, 588, 10640, 25147, 3197, 609, 3982, 14789, 269, 634, 1650, 1058, 11200, 998, 741, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 267, 10771, 519, 2956, 540, 6568, 267, 7881, 267, 543, 1966, 9010, 563, 763, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 269, 0, 6092, 5149, 281, 10289, 28064, 5020, 3414, 9085, 910, 4197, 8349, 1744, 3658, 262, 834, 22102, 24583, 3000, 625, 5016, 5970, 596, 2479, 2219, 827, 875, 1271, 4948, 8090, 666, 581, 286, 6884, 649, 26777, 519, 4644, 540, 938, 3232, 13467, 267, 855, 891, 9583, 27217, 2833, 1419, 3337, 945, 649, 616, 543, 948, 721, 1174, 6000, 543, 1866, 1732, 269, 2334, 781, 1018, 8349, 1744, 3658, 7710, 538, 1200, 1433, 267, 834, 22102, 24583, 3000, 625, 2668, 2913, 781, 4685, 883, 713, 8748, 1650, 1927, 2439, 1262, 1432, 568, 834, 22102, 24583, 3000, 625, 257, 15140, 257, 22102, 24583, 3000, 625, 257, 568, 513, 4190, 3209, 602, 5205, 519, 1272, 540, 7225, 603, 28711, 267, 1200, 9393, 9410, 630, 534, 2296, 7548, 1070, 543, 741, 1079, 3214, 267, 631, 1229, 603, 543, 9400, 269, 2991, 7836, 513, 1032, 13383, 538, 4789, 267, 789, 2132, 547, 4516, 543, 3068, 1007, 2591, 14577, 547, 741, 2025, 2729, 1247, 8876, 8823, 689, 741, 3460, 18246, 780, 9961, 519, 1433, 267, 4986, 9058, 4523, 282, 3079, 267, 519, 2278, 6212, 593, 519, 2241, 1554, 3562, 6377, 2238, 540, 519, 1920, 1107, 5986, 12129, 267, 2469, 17365, 10918, 267, 11504, 623, 14011, 11401, 267, 3092, 269, 1635, 3257, 865, 267, 1352, 8711, 519, 5898, 543, 3178, 6456, 538, 8723, 8090, 780, 1262, 3963, 9701, 1284, 5516, 6168, 18103, 2435, 16474, 757, 15140, 5331, 952, 1169, 2582, 4090, 540, 707, 1272, 729, 4904, 609, 2462, 9035, 610, 10565, 2621, 269, 898, 1131, 1745, 9688, 532, 267, 1318, 286, 7464, 1272, 3884, 1405, 2141, 2407, 540, 10761, 267, 855, 972, 781, 1871, 538, 6296, 543, 23440, 1932, 269, 1452, 3344, 1450, 721, 547, 1628, 2178, 3347, 267, 1020, 6208, 267, 543, 1711, 12738, 2189, 547, 1142, 1268, 610, 1920, 780, 2690, 1383, 267, 1589, 827, 707, 1378, 6640, 6296, 269, 9320, 596, 12687, 909, 693, 513, 1978, 5662, 267, 11453, 707, 4522, 267, 3548, 14254, 267, 1287, 2212, 1055, 547, 1153, 269, 3962, 1900, 1522, 3100, 28971, 14350, 267, 855, 15217, 267, 789, 1106, 513, 851, 540, 707, 3961, 269, 3807, 899, 7225, 603, 267, 9410, 267, 631, 1229, 603, 267, 543, 9400, 267, 596, 849, 7119, 538, 1412, 20791, 18428, 262, 1169, 1554, 780, 1262, 18698, 16992, 538, 834, 22102, 24583, 3000, 625, 257, 4373, 2414, 1205, 3323, 267, 1577, 781, 1451, 811, 827, 519, 1292, 3197, 538, 519, 1433, 1384, 265, 2878, 297, 644, 603, 4995, 2701, 781, 513, 7172, 4115, 543, 14560, 2835, 632, 8765, 269, 4438, 519, 1650, 267, 1352, 12066, 956, 609, 4606, 540, 1582, 1673, 12874, 339, 543, 2055, 2436, 1352, 814, 5963, 24009, 1200, 1761, 563, 265, 2878, 32354, 4995, 1323, 2296, 7548, 267, 646, 21593, 3450, 3332, 543, 8843, 1010, 6612, 585, 2542, 609, 1010, 7385, 269, 1717, 267, 2390, 13059, 1753, 689, 4789, 267, 646, 9620, 547, 1265, 3483, 538, 1010, 4876, 563, 265, 2878, 300, 1229, 603, 4995, 589, 8049, 21717, 3695, 1200, 7115, 267, 1352, 8188, 6093, 15730, 2152, 971, 607, 10188, 17052, 543, 12423, 9887, 563, 265, 2878, 32178, 4995, 1306, 519, 21836, 4759, 540, 519, 1920, 267, 9400, 5654, 909, 547, 1010, 4587, 11078, 543, 13290, 547, 900, 3634, 1200, 3527, 269, 1261, 2488, 13371, 8323, 2429, 519, 1650, 780, 2026, 596, 1224, 998, 519, 1433, 267, 2119, 9878, 2673, 3007, 547, 875, 891, 3197, 2170, 609, 835, 1776, 1282, 741, 3339, 13467, 269, 6423, 952, 596, 5469, 1022, 2242, 538, 741, 6384, 936, 942, 780, 1262, 12244, 5384, 256, 4373, 3086, 602, 596, 917, 513, 3787, 827, 834, 22102, 24583, 3000, 625, 2580, 1934, 781, 606, 2534, 547, 948, 596, 1921, 609, 519, 4798, 538, 519, 1433, 1384, 272, 269, 3503, 1524, 707, 3232, 6296, 585, 1614, 2395, 630, 32355, 593, 1957, 610, 25274, 1040, 2142, 2386, 547, 1331, 3877, 827, 6980, 267, 26050, 267, 12348, 267, 4205, 609, 2828, 11721, 13637, 2818, 267, 3092, 563, 825, 454, 567, 7151, 281, 11728, 267, 5988, 476, 272, 560, 454, 567, 2608, 654, 5803, 909, 693, 476, 278, 7537, 454, 567, 2608, 16874, 27046, 22596, 585, 14254, 454, 567, 2608, 12532, 539, 2915, 1472, 519, 3625, 454, 567, 2608, 5900, 2105, 5691, 2979, 1362, 454, 567, 2608, 5685, 1639, 2257, 6780, 454, 567, 2608, 4477, 6244, 3158, 3434, 12129, 454, 567, 2608, 20242, 3481, 7641, 1397, 609, 19033, 1354, 21557, 692, 273, 269, 8921, 267, 5858, 610, 5031, 4376, 602, 6763, 856, 547, 596, 607, 3226, 6209, 610, 11791, 269, 6333, 1946, 1346, 8090, 3180, 2027, 2956, 585, 596, 780, 274, 269, 14936, 267, 2671, 707, 18759, 609, 2576, 3116, 538, 707, 7622, 610, 2328, 873, 1524, 538, 513, 4760, 7127, 269, 6056, 827, 875, 519, 4296, 1063, 1004, 543, 741, 3232, 12738, 3565, 547, 741, 9163, 543, 2123, 2208, 780, 8855, 267, 1256, 1498, 834, 333, 5847, 1454, 257, 949, 4755, 538, 938, 3232, 2729, 267, 6313, 891, 8320, 2636, 721, 547, 5660, 519, 17381, 1336, 538, 16134, 269, 8414, 2542, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 28494, 21788, 4753, 281, 834, 5226, 2884, 2494, 28685, 334, 281, 8349, 1744, 3658, 781, 9540, 24583, 3000, 625, 2437, 538, 4139, 11470, 5623, 267, 5292, 269, 476, 274, 267, 3143, 269, 476, 273, 267, 5147, 267, 476, 3192, 277, 267, 6032, 269, 476, 15704, 268, 2004, 563, 314, 1103, 519, 2689, 2630, 267, 5839, 291, 10735, 9299, 2478, 9540, 24583, 3000, 625, 543, 4025, 1744, 3658, 1369, 519, 8225, 5339, 2245, 24358, 4263, 513, 942, 950, 930, 8225, 5830, 616, 3478, 593, 2686, 6512, 342, 30368, 267, 610, 616, 13148, 9420, 539, 676, 519, 14868, 799, 789, 723, 2813, 585, 2933, 267, 621, 568, 24253, 547, 2097, 2066, 513, 3209, 899, 9540, 24583, 3000, 625, 676, 8349, 1744, 3658, 269, 4173, 3209, 267, 607, 519, 2140, 5267, 267, 4145, 3294, 609, 519, 1507, 6411, 540, 513, 9602, 1920, 538, 513, 5266, 12560, 8225, 4081, 2146, 269, 15020, 2370, 4523, 538, 519, 3209, 267, 2943, 5705, 569, 543, 609, 9645, 5578, 11427, 269, 1744, 3658, 4652, 9529, 519, 1915, 540, 519, 15669, 267, 7225, 603, 28711, 267, 1200, 2296, 7548, 9393, 267, 9410, 267, 543, 741, 1079, 1453, 267, 631, 1229, 603, 543, 9400, 563, 763, 2042, 585, 519, 1920, 8451, 1310, 741, 2132, 689, 513, 521, 13741, 520, 673, 1032, 538, 4789, 269, 634, 8225, 1995, 540, 519, 3197, 568, 17814, 1996, 513, 530, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2178, 7633, 543, 4522, 269, 25289, 568, 849, 2838, 585, 1697, 8229, 267, 4887, 267, 543, 2295, 1599, 563, 763, 25289, 4530, 2337, 3313, 1585, 3978, 1072, 2152, 1644, 547, 707, 8459, 267, 7633, 543, 2488, 596, 609, 513, 2312, 4605, 540, 1018, 781, 4636, 609, 707, 1560, 269, 1411, 666, 5150, 930, 9735, 25289, 4530, 16156, 585, 513, 2347, 7513, 1377, 538, 1560, 2638, 5346, 563, 2252, 596, 616, 18901, 540, 7836, 646, 11998, 5666, 593, 25289, 4530, 3902, 267, 1287, 1577, 721, 1217, 596, 602, 596, 666, 2972, 513, 10097, 3902, 2759, 693, 11202, 18350, 538, 16156, 269, 25289, 2157, 538, 519, 1973, 602, 616, 1932, 1164, 610, 1932, 1970, 949, 5815, 5642, 2068, 267, 11178, 2068, 267, 8459, 2068, 267, 610, 824, 2564, 2175, 7868, 25289, 4530, 1942, 568, 10257, 543, 6325, 693, 18981, 11202, 18350, 563, 1432, 568, 519, 3483, 540, 621, 888, 2467, 616, 6287, 1826, 540, 25289, 4530, 13707, 7513, 568, 513, 2268, 540, 519, 7513, 538, 707, 1973, 602, 568, 7923, 547, 1808, 5946, 269, 594, 517, 1242, 7513, 267, 799, 11887, 519, 2179, 540, 7513, 602, 568, 796, 3430, 3737, 610, 1863, 689, 971, 5946, 563, 13707, 7513, 568, 4122, 3769, 538, 513, 6296, 9584, 1449, 1634, 607, 513, 2596, 10894, 8470, 269, 589, 2596, 10894, 8470, 568, 513, 1973, 1449, 602, 30397, 1585, 6886, 543, 824, 6878, 538, 519, 1973, 267, 1519, 7513, 563, 6701, 1703, 7102, 24093, 23105, 609, 25289, 4530, 888, 5591, 267, 16352, 513, 1973, 1449, 1360, 2370, 1981, 269, 1411, 949, 1995, 5634, 1928, 610, 20015, 2358, 1141, 519, 13549, 729, 17332, 267, 855, 1034, 2589, 786, 1016, 2515, 3533, 563, 7628, 606, 25289, 4530, 267, 1018, 4523, 888, 288, 1507, 13549, 786, 581, 1031, 676, 513, 1072, 1416, 3318, 547, 2721, 1973, 689, 513, 18916, 538, 707, 6186, 269, 11374, 519, 24450, 540, 519, 13549, 267, 513, 1507, 2179, 540, 1973, 786, 581, 6394, 538, 513, 1449, 8546, 610, 642, 658, 269, 1879, 519, 13549, 4422, 538, 610, 856, 267, 596, 949, 1745, 513, 13581, 29097, 269, 901, 2356, 3217, 896, 2947, 3764, 563, 8489, 543, 875, 25289, 4530, 2978, 16156, 5340, 888, 763, 18981, 11202, 18350, 568, 835, 540, 519, 3056, 10368, 543, 3782, 4255, 2619, 18350, 543, 789, 1685, 519, 25289, 4530, 538, 741, 6997, 19715, 1759, 593, 16156, 563, 1432, 568, 519, 25289, 4530, 3902, 888, 763, 1942, 540, 25289, 4530, 568, 1472, 12652, 476, 6344, 1152, 563, 3674, 972, 4376, 594, 991, 547, 798, 547, 5965, 585, 519, 25289, 4530, 16156, 888, 2791, 949, 581, 4280, 547, 31831, 689, 4189, 1978, 3536, 543, 2921, 1978, 6527, 585, 1896, 2395, 1991, 547, 519, 1449, 269, 1403, 972, 616, 1022, 2027, 5528, 547, 1246, 267, 707, 1072, 1416, 8502, 786, 1217, 596, 269, 0, 24591, 901, 6478, 2336, 1492, 851, 540, 519, 3618, 781, 2627, 14084, 1063, 519, 21050, 545, 540, 9435, 543, 519, 11848, 17781, 538, 519, 8832, 25955, 610, 1063, 519, 21050, 545, 540, 7167, 878, 1941, 543, 519, 21303, 17781, 538, 519, 8828, 25955, 267, 543, 6353, 676, 2348, 513, 2916, 602, 568, 3636, 538, 519, 4832, 267, 4411, 538, 519, 5162, 267, 543, 9793, 538, 519, 5614, 543, 2887, 563, 290, 3198, 9358, 4888, 14684, 2207, 8946, 2464, 292, 25265, 2177, 16998, 4456, 300, 2752, 16692, 289, 2969, 2464, 888, 2467, 616, 8239, 9840, 602, 2760, 5884, 282, 543, 519, 3283, 12006, 538, 519, 2055, 538, 713, 7688, 616, 2386, 547, 678, 850, 3025, 909, 2899, 1586, 269, 1684, 596, 917, 875, 547, 2626, 519, 2055, 602, 2014, 930, 540, 519, 6574, 8239, 9840, 888, 9223, 476, 272, 540, 476, 278, 454, 7617, 4845, 568, 2953, 888, 9827, 1572, 24438, 18630, 563, 24552, 7404, 31301, 622, 18630, 454, 291, 5315, 2593, 1133, 30457, 9122, 593, 519, 15932, 5600, 1133, 30457, 9218, 267, 9736, 15932, 5600, 267, 5549, 269, 476, 1708, 274, 454, 1692, 547, 946, 31301, 622, 18630, 538, 513, 4845, 454, 5591, 824, 3557, 267, 538, 2110, 267, 814, 32067, 6703, 585, 3395, 782, 519, 24799, 540, 519, 22465, 7997, 982, 19578, 20166, 4117, 547, 7909, 593, 21696, 3724, 347, 12663, 731, 3794, 1794, 1512, 454, 763, 7399, 540, 971, 606, 10504, 13883, 538, 519, 3655, 790, 560, 6712, 540, 5607, 781, 22465, 7997, 616, 3274, 2192, 574, 3386, 269, 8489, 21009, 634, 2622, 1772, 654, 1136, 5455, 347, 5141, 732, 1338, 26766, 454, 763, 2898, 4829, 543, 10448, 1587, 540, 519, 22465, 7997, 568, 693, 1010, 7450, 267, 543, 646, 814, 855, 547, 2322, 8521, 1010, 1688, 543, 1491, 621, 7868, 15310, 540, 519, 8092, 347, 11990, 13879, 6790, 2678, 454, 3719, 6778, 570, 659, 5448, 568, 2582, 711, 8806, 1317, 621, 568, 24077, 569, 23836, 282, 621, 568, 606, 818, 8157, 6532, 538, 513, 22465, 7997, 8160, 870, 14175, 1512, 347, 26452, 454, 2171, 540, 519, 22465, 7997, 666, 15991, 22036, 519, 3002, 540, 519, 21050, 923, 267, 543, 649, 695, 1853, 693, 519, 1360, 2219, 540, 5487, 680, 663, 7868, 1401, 1842, 3218, 781, 6426, 281, 634, 3883, 540, 26056, 347, 19365, 12567, 2349, 320, 1731, 773, 454, 23873, 9218, 8847, 585, 31301, 622, 18630, 454, 29006, 2694, 540, 519, 3618, 781, 2627, 14084, 1063, 519, 11848, 17781, 543, 519, 21050, 545, 540, 9435, 543, 1063, 519, 21303, 17781, 543, 519, 21050, 545, 540, 7167, 878, 1941, 454, 31890, 2296, 9218, 910, 13159, 1299, 1133, 30457, 476, 1001, 273, 7913, 9990, 9736, 5261, 19811, 25860, 1299, 3213, 269, 13456, 269, 476, 3192, 280, 267, 476, 2735, 277, 9736, 22489, 31890, 23255, 476, 1960, 279, 267, 476, 1220, 271, 267, 476, 1220, 274, 267, 476, 1220, 276, 267, 476, 1220, 277, 267, 476, 1220, 278, 267, 476, 1220, 280, 267, 476, 1001, 273, 454, 26199, 8847, 585, 31301, 622, 18630, 454, 292, 2416, 540, 1079, 4525, 540, 519, 3047, 540, 13591, 20173, 267, 519, 3345, 31301, 622, 18630, 267, 1063, 519, 11848, 17781, 543, 519, 570, 22241, 540, 9435, 267, 610, 519, 3162, 31301, 622, 18630, 267, 1063, 519, 21303, 17781, 543, 519, 570, 22241, 540, 7167, 878, 1941, 563, 763, 1977, 11595, 10378, 3163, 9218, 14645, 9736, 476, 1001, 272, 269, 15618, 676, 670, 32080, 631, 858, 4802, 670, 2117, 22620, 14539, 7577, 269, 2353, 2924, 11603, 269, 0, 24127, 476, 279, 910, 476, 1708, 271, 1923, 4179, 2517, 8742, 3820, 270, 1015, 269, 24783, 280, 11721, 321, 1470, 324, 269, 1708, 271, 269, 27947, 6349, 454, 29394, 658, 281, 4437, 727, 2559, 923, 538, 22564, 281, 3245, 966, 6018, 10334, 547, 31292, 10684, 20570, 454, 268, 476, 272, 18662, 540, 18143, 3163, 543, 6481, 7177, 267, 14913, 2160, 267, 15089, 329, 532, 267, 3624, 454, 268, 476, 273, 18662, 540, 20996, 267, 6481, 543, 6713, 7177, 267, 24368, 2160, 540, 5303, 267, 645, 5142, 321, 2033, 267, 1627, 17162, 267, 5245, 454, 268, 476, 274, 19667, 1707, 540, 5020, 7070, 543, 6925, 267, 4972, 540, 7736, 4531, 11659, 543, 5450, 29440, 267, 634, 3689, 10500, 559, 7007, 11233, 267, 2160, 540, 3163, 543, 5303, 540, 3624, 267, 670, 1030, 324, 328, 267, 3624, 454, 29394, 658, 593, 519, 3194, 13445, 454, 18693, 727, 2559, 923, 538, 22564, 281, 3245, 966, 6018, 10334, 547, 31292, 10684, 20570, 454, 763, 3194, 13445, 593, 968, 18693, 727, 2559, 923, 538, 22564, 281, 3245, 966, 6018, 10334, 547, 31292, 10684, 20570, 892, 25173, 3209, 2090, 540, 519, 3444, 16162, 9918, 1382, 538, 27354, 2559, 923, 543, 15466, 7350, 269, 901, 4015, 6227, 513, 2647, 2039, 540, 1382, 960, 689, 2596, 7350, 267, 12985, 9781, 267, 1570, 18572, 267, 9196, 547, 4791, 2090, 269, 898, 2488, 513, 3102, 7650, 540, 519, 8441, 538, 27354, 22817, 4066, 543, 741, 3156, 538, 5868, 543, 2126, 540, 9025, 3676, 630, 290, 13748, 1916, 290, 13748, 568, 513, 2101, 1072, 11411, 543, 519, 3056, 2014, 540, 9019, 543, 24896, 5001, 269, 634, 1292, 5817, 2014, 540, 595, 13748, 568, 19473, 29912, 267, 1141, 9402, 12074, 540, 3170, 267, 8501, 267, 543, 824, 6878, 1628, 909, 538, 519, 6418, 16298, 540, 519, 16209, 547, 1106, 15799, 269, 1773, 320, 13196, 1419, 28230, 1510, 9963, 267, 4929, 8650, 15466, 2621, 267, 971, 607, 26961, 658, 1102, 541, 794, 543, 8482, 267, 799, 616, 1272, 18446, 2621, 602, 2049, 950, 513, 1973, 6077, 23478, 519, 2295, 610, 2634, 568, 10393, 17808, 267, 4929, 3441, 547, 519, 5160, 543, 922, 1599, 269, 589, 1732, 1620, 540, 15799, 19916, 267, 7344, 2623, 267, 543, 8280, 19392, 568, 1898, 585, 519, 8446, 540, 7925, 29693, 13196, 840, 268, 4533, 675, 269, 901, 3194, 13445, 6394, 1614, 2090, 8720, 891, 1614, 1271, 3344, 269, 1677, 1732, 1174, 519, 7344, 3210, 540, 15799, 5160, 896, 28023, 15205, 2175, 267, 3474, 1388, 320, 1696, 620, 269, 2919, 513, 12191, 547, 4603, 958, 543, 6746, 1227, 21656, 519, 2566, 3146, 331, 1314, 566, 543, 28023, 7344, 2623, 540, 25558, 573, 15799, 8031, 269, 634, 942, 17466, 7344, 3210, 540, 519, 25558, 573, 15799, 5160, 729, 11567, 676, 7311, 28023, 15205, 896, 12214, 2837, 543, 20697, 5420, 269, 1703, 729, 513, 6175, 538, 519, 8445, 3196, 607, 513, 1599, 540, 4783, 1297, 10834, 7344, 1253, 3290, 1813, 547, 7368, 15205, 269, 634, 5160, 19017, 15895, 22636, 607, 513, 1599, 540, 4783, 1297, 267, 799, 729, 11911, 547, 9854, 21352, 532, 269, 901, 960, 4564, 513, 1900, 4724, 606, 4824, 1620, 540, 519, 1570, 2623, 540, 519, 1480, 19473, 4592, 13406, 5328, 29693, 13196, 267, 799, 949, 4217, 538, 15799, 13438, 4879, 563, 2414, 1732, 1174, 519, 1764, 540, 8280, 19392, 593, 15799, 6617, 267, 15651, 1696, 620, 269, 5916, 538, 24155, 19182, 9196, 267, 1277, 1670, 2079, 267, 543, 12985, 11191, 547, 8495, 519, 8280, 19392, 538, 513, 3461, 609, 513, 512, 30802, 25558, 573, 23296, 2670, 269, 769, 713, 1353, 267, 513, 3461, 609, 513, 512, 30802, 25558, 573, 23296, 2670, 693, 1312, 4835, 25558, 573, 16050, 543, 1455, 25558, 573, 16050, 729, 25945, 269, 11638, 268, 30084, 840, 1606, 29864, 19182, 9196, 543, 2022, 1606, 29864, 25558, 573, 15799, 5160, 5439, 941, 6394, 585, 2079, 269, 634, 476, 274, 291, 3461, 10391, 22762, 3740, 2203, 729, 18949, 539, 689, 519, 538, 24155, 19182, 9196, 269, 32492, 5714, 6384, 630, 20003, 291, 264, 11191, 729, 5342, 547, 8495, 875, 519, 512, 30802, 23296, 2670, 2919, 543, 4299, 1142, 824, 269, 634, 2164, 540, 713, 1353, 2303, 602, 950, 4058, 25558, 573, 1439, 691, 699, 551, 3912, 267, 18435, 291, 11191, 593, 519, 16912, 696, 633, 3631, 1223, 948, 19353, 547, 7447, 519, 1973, 2095, 2623, 1310, 6391, 269, 3487, 7781, 3007, 1058, 581, 6976, 547, 519, 2013, 540, 512, 30802, 23296, 2670, 267, 607, 519, 2199, 8280, 17871, 1604, 568, 811, 1950, 543, 2126, 540, 835, 23296, 2670, 949, 1291, 547, 513, 8390, 538, 519, 8280, 17871, 15205, 593, 519, 2034, 15799, 267, 799, 949, 1267, 538, 2901, 513, 2362, 1981, 540, 15799, 28230, 610, 1964, 523, 2670, 563, 1103, 2474, 540, 15799, 19916, 267, 1261, 595, 269, 1696, 620, 269, 2919, 513, 3684, 1565, 5690, 547, 10126, 15799, 3334, 689, 538, 24155, 9804, 25843, 29821, 630, 302, 6311, 264, 9196, 269, 2271, 9545, 6018, 744, 6311, 814, 1044, 1031, 547, 21656, 18337, 15799, 19916, 538, 2487, 1296, 269, 1703, 568, 606, 14849, 991, 547, 1020, 513, 24019, 5690, 585, 15799, 18572, 799, 666, 948, 7520, 519, 32301, 540, 744, 6311, 3239, 7664, 540, 15799, 19916, 269, 769, 1261, 595, 269, 1696, 620, 9538, 338, 1353, 267, 513, 2698, 540, 476, 4029, 2550, 23384, 25558, 573, 1439, 691, 699, 551, 3912, 543, 519, 608, 24155, 25558, 573, 29693, 13196, 941, 708, 3042, 609, 744, 6311, 269, 30677, 9936, 267, 9403, 2934, 543, 3448, 2990, 540, 19641, 941, 13939, 543, 1287, 1031, 547, 22945, 519, 5160, 18572, 540, 15799, 3334, 269, 634, 2164, 1397, 519, 2919, 5690, 729, 5827, 540, 1915, 1944, 15799, 3334, 609, 606, 5140, 6111, 1210, 519, 5916, 4183, 1305, 563, 309, 6018, 18287, 2305, 568, 606, 9402, 1591, 24975, 1184, 538, 799, 5642, 10391, 18038, 344, 777, 520, 924, 14848, 616, 8362, 20024, 593, 519, 1973, 6077, 3774, 543, 568, 513, 1713, 27690, 4493, 585, 519, 2799, 11841, 543, 9019, 540, 8801, 9025, 2621, 269, 5839, 5268, 1137, 1404, 606, 1271, 9431, 1909, 538, 519, 12136, 267, 1646, 267, 543, 9695, 540, 15466, 18287, 2305, 269, 9149, 1696, 620, 269, 26564, 513, 5763, 540, 1382, 538, 713, 2361, 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 ]
[ 5363, 912, 329, 323, 10134, 269, 901, 4971, 950, 11329, 693, 513, 1576, 610, 17609, 786, 11571, 585, 1018, 29444, 616, 972, 267, 543, 1018, 13838, 1004, 29444, 7048, 593, 563, 2690, 24966, 602, 6565, 689, 707, 29444, 267, 596, 666, 4126, 602, 519, 4308, 596, 616, 4470, 593, 786, 723, 606, 8242, 10084, 8370, 3617, 1628, 269, 1403, 711, 596, 949, 1134, 723, 547, 1413, 1575, 585, 5079, 563, 9617, 835, 6093, 12161, 568, 713, 513, 2582, 912, 1692, 547, 1491, 1416, 540, 28162, 7456, 836, 269, 5591, 12218, 9377, 28062, 13286, 281, 795, 822, 1314, 24474, 6447, 11486, 785, 32434, 288, 311, 289, 2750, 4003, 454, 1607, 568, 10084, 5360, 8724, 602, 513, 1576, 568, 711, 4092, 267, 585, 519, 2601, 602, 621, 814, 28953, 547, 513, 9074, 609, 1100, 15287, 547, 519, 10438, 3009, 269, 1703, 616, 513, 6292, 540, 14319, 540, 1585, 6988, 543, 7165, 1890, 267, 6045, 1318, 1934, 563, 5472, 936, 1586, 267, 952, 596, 10625, 891, 5686, 540, 24966, 609, 513, 21341, 267, 13182, 609, 519, 1788, 269, 1358, 949, 1134, 723, 513, 10084, 8370, 1628, 585, 596, 547, 946, 563, 297, 303, 5960, 568, 513, 21230, 27789, 7369, 543, 621, 786, 2015, 942, 547, 22738, 269, 10783, 3726, 3585, 267, 972, 568, 1100, 14849, 31657, 267, 2016, 602, 10084, 476, 279, 568, 513, 6905, 3856, 5351, 10131, 563, 6546, 4742, 1767, 267, 538, 519, 6905, 7500, 267, 4587, 10467, 786, 991, 547, 723, 547, 22109, 267, 543, 1007, 3283, 786, 991, 547, 723, 547, 946, 13838, 4111, 1836, 267, 23679, 3854, 1944, 593, 930, 540, 519, 16219, 5383, 563, 1607, 9661, 267, 968, 1432, 568, 31179, 5960, 286, 28038, 519, 10084, 3590, 21602, 6396, 892, 729, 7620, 11540, 676, 454, 15648, 9736, 476, 1708, 271, 9517, 294, 18058, 267, 5549, 269, 0, 9336, 4832, 267, 519, 3390, 540, 2831, 538, 519, 853, 2086, 27827, 543, 824, 887, 1372, 657, 2501, 909, 269, 634, 9640, 602, 7485, 669, 3089, 342, 30368, 3006, 6749, 4666, 540, 2295, 6285, 267, 616, 7166, 610, 13676, 267, 610, 723, 547, 581, 552, 3578, 534, 1242, 267, 1813, 547, 21611, 610, 824, 10913, 563, 307, 773, 16365, 887, 4771, 3322, 15255, 810, 532, 513, 28419, 543, 1793, 2459, 532, 621, 2182, 547, 519, 2666, 865, 602, 922, 7953, 666, 581, 13615, 1927, 269, 2836, 1407, 666, 7985, 7745, 683, 4242, 543, 824, 7063, 538, 713, 865, 10777, 7328, 269, 6008, 619, 543, 13032, 338, 666, 849, 581, 13676, 610, 7166, 538, 741, 9757, 2621, 563, 339, 777, 1934, 547, 1294, 824, 7044, 689, 938, 2319, 563, 1432, 1022, 540, 713, 5208, 547, 2831, 814, 547, 798, 609, 7262, 6561, 568, 15458, 269, 769, 519, 2395, 540, 519, 8187, 4639, 267, 865, 23816, 569, 11509, 1242, 676, 782, 887, 1372, 657, 267, 678, 4545, 1667, 4769, 1406, 1521, 741, 2831, 538, 971, 513, 1259, 865, 607, 547, 3565, 547, 741, 7063, 543, 7972, 269, 1452, 2831, 941, 741, 17612, 543, 519, 678, 4545, 1667, 1185, 513, 5458, 2883, 7196, 538, 9870, 2635, 1608, 1407, 865, 789, 1223, 6928, 873, 547, 2344, 269, 898, 729, 1870, 267, 543, 1169, 13676, 610, 4666, 28419, 729, 2724, 4503, 269, 589, 678, 4545, 615, 1394, 1287, 1131, 723, 1044, 513, 18174, 952, 646, 9846, 887, 6244, 1608, 1407, 538, 971, 513, 1259, 602, 789, 5747, 610, 941, 544, 2727, 539, 269, 634, 1482, 4422, 585, 11396, 543, 10443, 2583, 2221, 269, 0, 20360, 3298, 476, 1015, 814, 519, 5065, 2702, 547, 14771, 6119, 543, 32766, 269, 3281, 7675, 513, 17835, 6971, 922, 2450, 3648, 269, 901, 4183, 666, 581, 3226, 3730, 950, 596, 991, 547, 6494, 513, 3758, 610, 17835, 855, 616, 8572, 547, 798, 621, 1317, 540, 922, 1804, 2450, 269, 1280, 1383, 281, 8781, 1804, 6119, 593, 513, 7131, 610, 23861, 676, 735, 7675, 873, 563, 3719, 875, 547, 14771, 513, 17835, 538, 8837, 476, 1015, 286, 769, 713, 2376, 267, 649, 723, 5941, 1018, 596, 991, 547, 798, 547, 14771, 32766, 538, 8837, 476, 1015, 563, 9827, 267, 2638, 856, 713, 2376, 547, 547, 1451, 875, 547, 4368, 17835, 1569, 17792, 5470, 538, 8837, 476, 1015, 563, 3963, 3281, 816, 28567, 1656, 674, 1245, 619, 286, 1656, 7756, 9537, 2986, 3281, 1833, 454, 15253, 7675, 4376, 267, 538, 2241, 1913, 267, 17990, 2230, 269, 2334, 779, 519, 3119, 2601, 585, 735, 7675, 707, 6119, 269, 1879, 596, 14771, 1022, 3758, 267, 782, 519, 9115, 540, 519, 3758, 602, 5749, 1406, 2877, 568, 6569, 267, 799, 3762, 1152, 519, 5934, 1344, 602, 568, 2556, 547, 556, 27322, 519, 3758, 547, 922, 3312, 1533, 563, 763, 942, 3144, 585, 735, 7675, 513, 3758, 610, 17835, 5673, 593, 519, 2450, 540, 519, 3758, 269, 2991, 519, 13496, 568, 2944, 267, 519, 3758, 949, 1831, 3368, 922, 5449, 2450, 610, 1256, 1447, 269, 1703, 616, 1079, 2010, 540, 13496, 912, 268, 24857, 12396, 13496, 454, 268, 2098, 760, 13496, 454, 18199, 12396, 13496, 267, 538, 2241, 1913, 267, 568, 3710, 883, 519, 3758, 1062, 269, 898, 666, 1152, 581, 1031, 593, 24857, 12396, 11479, 543, 596, 3112, 1847, 610, 5299, 519, 19316, 6119, 543, 6494, 621, 936, 519, 4950, 610, 3116, 621, 4465, 1406, 6414, 543, 10920, 12304, 269, 4635, 519, 24857, 12396, 13496, 267, 596, 666, 14771, 6119, 267, 32766, 267, 543, 3003, 11479, 269, 24857, 12396, 13496, 568, 1031, 17077, 569, 19951, 607, 519, 5777, 540, 2182, 28283, 723, 1831, 865, 10464, 563, 313, 760, 13496, 568, 519, 1034, 1031, 13496, 1505, 19951, 269, 898, 14771, 525, 6119, 543, 32766, 883, 513, 2098, 760, 3758, 269, 1411, 666, 1847, 610, 5299, 891, 2098, 760, 6119, 543, 1256, 2671, 873, 936, 519, 4950, 269, 2098, 6235, 849, 6971, 519, 2450, 540, 519, 3758, 3648, 563, 1692, 1677, 3281, 816, 589, 674, 27212, 769, 8837, 476, 1015, 888, 3086, 602, 596, 723, 10169, 6956, 1018, 13496, 568, 543, 1018, 621, 1281, 267, 922, 942, 547, 1205, 1394, 547, 519, 1292, 1888, 269, 1677, 14771, 6119, 538, 8837, 476, 1015, 596, 666, 2901, 946, 519, 2098, 760, 1505, 610, 519, 24857, 12396, 1505, 269, 1284, 723, 2016, 3268, 585, 1312, 2010, 540, 13496, 2630, 563, 4467, 12304, 4635, 2098, 6235, 6396, 454, 1607, 568, 9090, 519, 4443, 1505, 1851, 519, 476, 273, 269, 1677, 798, 621, 267, 1246, 519, 3268, 2016, 2630, 912, 268, 7046, 519, 11711, 25817, 543, 6330, 547, 519, 3758, 596, 1616, 547, 2098, 760, 563, 268, 8844, 519, 6119, 596, 1616, 547, 2098, 760, 547, 513, 2582, 17835, 267, 1287, 2824, 782, 540, 873, 676, 10296, 519, 595, 27530, 1341, 589, 10569, 563, 268, 9406, 26487, 593, 873, 543, 1847, 707, 10856, 547, 519, 27189, 547, 4781, 563, 268, 8564, 519, 3281, 5962, 630, 345, 5792, 264, 17835, 4781, 538, 519, 1007, 2427, 10624, 563, 268, 27016, 585, 519, 8837, 547, 9096, 735, 7675, 519, 3758, 563, 5475, 519, 1184, 26088, 267, 596, 786, 1265, 519, 19316, 23407, 3758, 1318, 972, 269, 901, 568, 875, 547, 14771, 6119, 538, 8837, 476, 1015, 1210, 519, 2098, 760, 1505, 563, 15253, 7675, 4635, 634, 24857, 12396, 6396, 454, 2414, 14771, 513, 3758, 610, 17835, 1210, 519, 24857, 12396, 1505, 267, 1246, 519, 3268, 2016, 2630, 912, 268, 8298, 538, 547, 606, 23070, 2272, 563, 268, 8921, 267, 1930, 519, 11711, 25817, 1586, 543, 6330, 547, 519, 17835, 610, 3758, 596, 1616, 547, 14771, 563, 268, 9406, 26487, 593, 519, 17835, 610, 3758, 543, 2824, 519, 16544, 4781, 563, 268, 769, 519, 4937, 9184, 267, 4945, 593, 519, 11628, 4781, 563, 268, 6744, 519, 3281, 816, 9115, 547, 4688, 12210, 2230, 4216, 543, 4945, 593, 15528, 563, 268, 589, 21533, 13972, 786, 2408, 6998, 2436, 596, 1616, 547, 14771, 519, 3758, 610, 711, 269, 20504, 519, 21533, 543, 519, 17835, 786, 1376, 547, 1205, 19316, 563, 268, 27016, 585, 519, 13496, 547, 9096, 563, 2414, 14771, 606, 3003, 5397, 1210, 24857, 12396, 1505, 267, 1246, 519, 3268, 2016, 2630, 912, 268, 9406, 26487, 593, 519, 20000, 596, 1616, 547, 14771, 543, 2824, 519, 16544, 4781, 563, 268, 769, 519, 4937, 9184, 267, 2638, 519, 3281, 816, 713, 5397, 547, 4688, 12210, 2230, 4781, 543, 4945, 593, 15528, 563, 268, 8837, 786, 1586, 1930, 513, 21533, 13972, 269, 20504, 621, 543, 7227, 585, 519, 13496, 547, 9096, 563, 3383, 267, 972, 596, 723, 621, 269, 3767, 596, 917, 875, 547, 14771, 513, 17835, 538, 8837, 476, 1015, 269, 3367, 519, 3604, 1063, 519, 24857, 12396, 543, 2098, 760, 2409, 1354, 1210, 2901, 540, 519, 2409, 547, 14771, 707, 6119, 269, 1403, 596, 723, 1022, 2055, 1644, 547, 713, 1888, 267, 1287, 1745, 1863, 547, 2307, 873, 538, 519, 6085, 3296, 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 ]
[ 674, 1069, 328, 1599, 610, 13567, 5506, 267, 15662, 489, 284, 9128, 7232, 326, 270, 918, 6630, 543, 31246, 568, 674, 1069, 328, 1377, 1648, 563, 763, 717, 24520, 20099, 543, 717, 24520, 8700, 616, 7229, 1759, 593, 1297, 540, 3327, 8444, 543, 1871, 540, 735, 4809, 2566, 543, 28995, 8833, 538, 717, 24520, 607, 454, 3602, 715, 272, 568, 519, 1297, 540, 8444, 538, 717, 24520, 3259, 267, 715, 273, 568, 519, 1297, 540, 8444, 538, 717, 24520, 8700, 267, 2098, 568, 519, 1871, 540, 735, 4809, 2566, 543, 28995, 8833, 538, 717, 24520, 543, 1035, 2275, 568, 3327, 547, 3327, 6125, 3259, 538, 11466, 799, 11224, 476, 272, 269, 5655, 3331, 483, 563, 763, 8092, 21516, 6101, 1143, 568, 8246, 585, 20592, 540, 1699, 590, 4953, 602, 590, 4953, 6532, 568, 717, 24520, 609, 735, 4809, 2566, 543, 28995, 8833, 269, 901, 6310, 2203, 540, 1699, 590, 4953, 568, 2854, 607, 552, 336, 269, 476, 1724, 563, 763, 6724, 616, 3989, 5892, 563, 763, 1699, 540, 717, 24520, 590, 4953, 609, 735, 4809, 2566, 543, 28995, 8833, 593, 717, 24520, 6532, 568, 11567, 1759, 593, 519, 6069, 2203, 269, 634, 1114, 2418, 540, 735, 4809, 2566, 543, 28995, 8833, 616, 4294, 547, 717, 24520, 6532, 543, 519, 5833, 2164, 616, 3254, 538, 8431, 269, 476, 274, 563, 1103, 519, 2079, 5340, 538, 8431, 269, 476, 274, 267, 735, 4809, 2566, 2242, 689, 910, 274, 260, 547, 910, 1015, 260, 543, 28995, 8833, 9775, 689, 476, 274, 260, 547, 476, 1015, 10065, 634, 5207, 1699, 568, 2938, 585, 735, 4809, 2566, 910, 1015, 260, 1317, 621, 814, 2539, 3327, 6125, 3259, 543, 6532, 1858, 269, 634, 13302, 3327, 6125, 3259, 11081, 7061, 1134, 3259, 269, 4475, 267, 3432, 540, 6475, 4483, 538, 6532, 786, 581, 2799, 543, 590, 4953, 1699, 786, 581, 6659, 269, 634, 1764, 540, 1114, 1297, 540, 3327, 8444, 538, 717, 24520, 3259, 609, 606, 4294, 735, 4809, 2566, 543, 28995, 2566, 540, 476, 271, 269, 272, 25508, 547, 717, 24520, 6532, 568, 11567, 543, 11609, 538, 8431, 269, 476, 275, 563, 763, 14258, 3330, 8431, 269, 476, 275, 5416, 264, 5815, 602, 735, 4809, 2566, 593, 717, 24520, 609, 2539, 2338, 540, 8444, 2059, 519, 717, 24520, 3259, 7472, 2362, 1699, 543, 2539, 4172, 331, 4861, 3625, 1228, 2039, 269, 634, 4642, 1699, 3148, 538, 519, 3926, 609, 811, 8444, 2059, 519, 717, 24520, 3259, 568, 2362, 267, 1775, 4318, 269, 585, 519, 630, 1556, 267, 277, 264, 3926, 269, 1306, 513, 1267, 267, 8431, 269, 476, 275, 5416, 264, 6920, 602, 519, 1297, 540, 8444, 2059, 519, 717, 24520, 3259, 814, 513, 1463, 1764, 593, 519, 3926, 1699, 1247, 513, 735, 4809, 2566, 568, 4294, 547, 717, 24520, 269, 5047, 267, 634, 2079, 540, 8431, 269, 476, 275, 6357, 264, 2357, 5809, 602, 13302, 2338, 540, 8444, 538, 717, 24520, 3259, 666, 2333, 590, 4953, 1699, 269, 634, 2168, 2601, 540, 713, 1699, 2623, 568, 2147, 547, 602, 6045, 538, 8431, 269, 476, 275, 5416, 1040, 1717, 267, 519, 6476, 540, 8431, 269, 476, 275, 5416, 264, 543, 8431, 269, 476, 275, 6357, 264, 8761, 519, 1249, 602, 2810, 519, 1297, 540, 8444, 2059, 519, 6532, 3259, 814, 811, 1764, 538, 519, 2013, 540, 735, 4809, 2566, 2864, 982, 28995, 8833, 609, 519, 1482, 2179, 269, 769, 824, 1913, 267, 1699, 814, 2362, 1871, 538, 717, 24520, 590, 4953, 609, 735, 4809, 2566, 982, 28995, 8833, 563, 763, 4294, 10766, 6453, 568, 1776, 3815, 799, 814, 1764, 593, 519, 590, 4953, 1699, 269, 4475, 717, 24520, 609, 476, 279, 3327, 8444, 538, 621, 779, 3259, 543, 476, 277, 3327, 8444, 538, 621, 779, 8700, 568, 5697, 585, 590, 4953, 6532, 269, 5047, 519, 735, 4809, 2566, 476, 271, 269, 272, 25508, 543, 28995, 8833, 540, 476, 271, 269, 272, 25508, 616, 4294, 547, 713, 6532, 269, 634, 1699, 1107, 6453, 14258, 616, 28367, 538, 8431, 269, 476, 276, 585, 1114, 4294, 10766, 28696, 547, 891, 717, 24520, 590, 4953, 338, 563, 763, 2079, 540, 8431, 269, 476, 276, 6920, 602, 2810, 540, 519, 4294, 10766, 6453, 14380, 590, 4953, 1699, 269, 901, 568, 1813, 547, 519, 1249, 602, 513, 2362, 10766, 6453, 11081, 6532, 779, 1648, 1377, 543, 1287, 606, 796, 31039, 1648, 1377, 1327, 919, 538, 519, 4483, 6885, 269, 4475, 606, 6475, 666, 15993, 5488, 543, 5279, 8928, 693, 513, 2362, 3432, 538, 590, 4953, 269, 634, 4172, 331, 4861, 3625, 1228, 2039, 849, 11081, 538, 2362, 4294, 10766, 28696, 269, 18948, 540, 519, 5833, 2164, 689, 8431, 269, 476, 276, 5416, 264, 543, 8431, 269, 476, 276, 6357, 264, 6920, 602, 2810, 540, 4294, 10766, 6453, 814, 811, 1713, 1764, 593, 519, 1699, 540, 519, 590, 4953, 3926, 609, 513, 735, 4809, 2566, 540, 476, 271, 269, 272, 25508, 982, 519, 11218, 3926, 609, 3160, 2179, 540, 28995, 8833, 593, 519, 6532, 563, 763, 6512, 3889, 543, 5279, 6617, 12222, 6236, 735, 4809, 2566, 543, 28995, 8833, 593, 717, 24520, 6532, 590, 4953, 454, 763, 2582, 6475, 24923, 666, 960, 538, 1970, 6453, 9186, 1547, 634, 717, 24520, 590, 4953, 338, 609, 476, 2190, 3327, 8444, 616, 2966, 609, 2311, 558, 626, 1460, 15484, 298, 527, 630, 2969, 298, 264, 3301, 1547, 3973, 735, 4809, 2566, 543, 28995, 8833, 616, 4294, 593, 717, 24520, 6532, 543, 789, 1198, 593, 782, 3327, 28003, 7554, 540, 717, 24520, 543, 782, 7554, 3259, 616, 3160, 1927, 269, 634, 3327, 910, 3327, 6125, 540, 717, 24520, 609, 735, 4809, 2566, 540, 4939, 1015, 25508, 568, 476, 272, 269, 2767, 543, 519, 3327, 910, 3327, 6125, 540, 717, 24520, 609, 28995, 8833, 540, 4939, 1015, 25508, 568, 476, 272, 269, 6321, 1547, 634, 6512, 3889, 616, 28367, 538, 8431, 269, 476, 277, 547, 6218, 519, 2360, 540, 735, 4809, 2566, 543, 28995, 8833, 593, 717, 24520, 6512, 7934, 563, 763, 2079, 540, 6512, 3889, 540, 717, 24520, 609, 735, 4809, 2566, 540, 4939, 1015, 25508, 543, 28995, 8833, 540, 4939, 1015, 25508, 616, 3254, 602, 6512, 7934, 1871, 540, 717, 24520, 609, 735, 4809, 2566, 540, 4939, 1015, 25508, 568, 476, 271, 269, 276, 4281, 552, 309, 543, 6512, 7934, 1871, 540, 717, 24520, 609, 28995, 8833, 540, 4939, 1015, 25508, 568, 476, 271, 269, 4792, 280, 552, 309, 7868, 6476, 1353, 6920, 602, 519, 6512, 7934, 540, 6532, 609, 735, 4809, 2566, 568, 2539, 982, 6532, 609, 28995, 8833, 269, 4475, 6475, 4483, 538, 717, 24520, 609, 735, 4809, 2566, 814, 2362, 3432, 543, 2539, 4642, 1699, 2039, 269, 634, 6475, 4483, 13515, 538, 590, 4953, 950, 4172, 331, 4861, 17808, 9259, 4386, 1547, 634, 4172, 331, 4861, 17808, 2175, 2049, 950, 519, 6532, 5279, 568, 2362, 982, 519, 9186, 6453, 267, 519, 8143, 1648, 568, 2362, 982, 519, 12123, 1648, 543, 519, 15993, 532, 4187, 3587, 1447, 982, 476, 28670, 1724, 394, 358, 269, 634, 5279, 6617, 6516, 2982, 4172, 331, 4861, 3625, 1228, 2039, 607, 4172, 331, 4861, 19987, 269, 1452, 12222, 616, 8947, 543, 28367, 609, 519, 5351, 540, 2311, 558, 626, 1460, 15484, 18145, 630, 2969, 298, 264, 3301, 602, 667, 10499, 1505, 1210, 2199, 29213, 19406, 630, 299, 6395, 264, 568, 5697, 585, 13502, 1547, 634, 13502, 616, 2944, 585, 735, 4809, 2566, 540, 4939, 1015, 25508, 543, 28995, 8833, 540, 519, 1482, 2179, 593, 519, 717, 24520, 6532, 269, 1452, 5279, 6617, 12222, 616, 28367, 538, 8431, 269, 476, 278, 563, 763, 4172, 331, 4861, 3625, 1228, 9832, 616, 3254, 538, 8431, 269, 476, 276, 543, 4172, 331, 4861, 19987, 538, 5279, 6617, 12222, 616, 3254, 538, 8431, 269, 476, 278, 269, 930, 6724, 616, 13939, 689, 8431, 269, 476, 278, 607, 4843, 538, 7305, 476, 272, 547, 6218, 519, 4172, 331, 4861, 3625, 1228, 9832, 543, 4172, 331, 4861, 19987, 1858, 538, 717, 24520, 590, 4953, 609, 519, 1482, 2179, 540, 735, 4809, 2566, 543, 28995, 8833, 593, 519, 6532, 563, 763, 6476, 540, 1239, 2016, 538, 7305, 269, 272, 6920, 602, 735, 4809, 2566, 543, 28995, 8833, 593, 519, 717, 24520, 6532, 5222, 593, 519, 1858, 540, 4172, 331, 4861, 19987, 543, 4172, 331, 4861, 3625, 1228, 2039, 269, 634, 2127, 540, 4172, 331, 4861, 19987, 616, 1114, 538, 7305, 476, 272, 269, 634, 8095, 540, 15993, 532, 6475, 568, 1114, 538, 1142, 4172, 331, 4861, 14776, 269, 634, 4172, 331, 4861, 19987, 540, 717, 24520, 590, 4953, 609, 735, 4809, 2566, 540, 4939, 1015, 25508, 593, 717, 24520, 814, 4130, 1858, 982, 717, 24520, 590, 4953, 609, 28995, 8833, 540, 519, 1482, 2179, 269, 5047, 267, 4172, 331, 4861, 3625, 1228, 2039, 538, 590, 4953, 609, 735, 4809, 2566, 593, 519, 6532, 568, 2539, 982, 824, 11218, 3926, 269, 4475, 267, 519, 2773, 540, 717, 24520, 590, 4953, 609, 735, 4809, 2566, 593, 519, 6532, 1058, 581, 1732, 982, 717, 24520, 590, 4953, 609, 519, 28995, 8833, 540, 519, 1482, 2179, 269, 901, 568, 4010, 538, 6876, 609, 8431, 269, 476, 274, 1141, 519, 1699, 540, 519, 3926, 609, 735, 4809, 2566, 593, 922, 6532, 729, 2362, 982, 519, 1482, 3926, 609, 519, 28995, 8833, 540, 519, 1482, 2179, 563, 763, 22130, 6289, 528, 756, 2548, 630, 294, 24520, 264, 609, 735, 4809, 2566, 610, 28995, 8833, 729, 5697, 585, 519, 6532, 540, 513, 2582, 6475, 24923, 630, 306, 4953, 1040, 634, 11741, 1699, 2203, 540, 713, 3926, 729, 6508, 6220, 519, 1764, 540, 2566, 543, 8833, 269, 634, 5222, 540, 930, 6724, 593, 519, 6069, 6310, 2203, 729, 8947, 269, 21744, 540, 735, 4809, 2566, 689, 910, 274, 260, 547, 910, 1015, 260, 543, 28995, 8833, 689, 476, 1015, 260, 547, 476, 274, 260, 2799, 519, 590, 4953, 1699, 269, 28206, 2084, 519, 2338, 540, 8444, 2059, 519, 717, 24520, 3259, 616, 2799, 519, 1699, 1813, 547, 2110, 2287, 540, 519, 6532, 799, 729, 9117, 607, 513, 7061, 1134, 269, 23207, 540, 519, 4294, 10766, 6453, 616, 6659, 519, 1699, 269, 5047, 267, 5279, 6617, 12222, 585, 1079, 2665, 540, 735, 4809, 2566, 543, 28995, 8833, 941, 13939, 543, 3379, 1927, 269, 634, 4172, 331, 4861, 19987, 540, 717, 24520, 590, 4953, 609, 735, 4809, 2566, 540, 4939, 1015, 25508, 593, 922, 717, 24520, 6532, 616, 3254, 4130, 4172, 331, 4861, 14776, 1858, 543, 4642, 1699, 2039, 982, 717, 24520, 590, 4953, 609, 519, 1482, 2179, 540, 28995, 8833, 593, 922, 6532, 269, 5221, 717, 24520, 609, 735, 4809, 2566, 814, 2539, 6512, 7934, 1871, 543, 1287, 3432, 540, 4483, 6475, 568, 2362, 982, 717, 24520, 609, 28995, 2566, 563, 288, 18308, 616, 9684, 995, 547, 519, 1489, 4607, 689, 12130, 29741, 16361, 6997, 630, 1889, 24248, 1070, 2160, 540, 29161, 267, 585, 3246, 606, 5140, 1382, 1604, 538, 799, 547, 18082, 543, 547, 2347, 713, 960, 563, 25321, 14566, 2975, 307, 5508, 29206, 12239, 454, 763, 4589, 17551, 602, 972, 568, 1100, 4655, 540, 4690, 3823, 519, 8313, 540, 713, 12377, 269, 0, 1692, 1705, 32240, 18557, 1764, 519, 476, 4572, 271, 779, 888, 310, 5306, 18557, 1185, 513, 5458, 1764, 593, 519, 10162, 2130, 476, 736, 779, 1317, 540, 1010, 6041, 540, 519, 1977, 14134, 676, 1010, 986, 7714, 547, 13284, 1127, 1650, 543, 1010, 27265, 538, 519, 1323, 11582, 2872, 563, 1692, 1705, 12130, 4486, 31040, 1764, 519, 476, 4572, 271, 338, 888, 31466, 4486, 779, 22547, 547, 674, 877, 454, 31466, 4486, 31040, 5280, 3142, 513, 12837, 547, 1004, 779, 8188, 1282, 519, 4279, 12870, 269, 1261, 729, 849, 593, 19297, 543, 538, 5961, 538, 519, 1296, 540, 24918, 5009, 2112, 7554, 543, 28409, 1004, 547, 1489, 519, 4108, 563, 1432, 2306, 32240, 18557, 513, 5869, 888, 15987, 646, 5747, 593, 5412, 476, 1428, 267, 476, 3422, 277, 267, 693, 519, 2085, 476, 4792, 267, 1010, 9371, 4797, 547, 2661, 593, 1279, 1310, 1010, 2669, 269, 32240, 18557, 568, 513, 5869, 1317, 646, 22234, 606, 8098, 10928, 7209, 602, 3769, 7592, 971, 607, 10100, 543, 5621, 745, 1143, 282, 646, 4553, 1010, 9909, 543, 8246, 3255, 547, 1118, 606, 1764, 593, 1866, 269, 0, 288, 3440, 1984, 267, 513, 1826, 540, 32291, 267, 568, 513, 20425, 3926, 1031, 538, 8860, 630, 528, 11544, 264, 2326, 899, 22714, 267, 6464, 267, 17375, 6151, 2326, 543, 19267, 11065, 718, 14200, 17967, 1472, 513, 8880, 7852, 267, 13148, 4904, 609, 519, 1570, 547, 581, 2666, 7132, 519, 8860, 5420, 269, 7756, 2326 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 616, 1082, 1114, 5686, 540, 22101, 518, 3421, 856, 972, 267, 855, 789, 2356, 723, 513, 1906, 1919, 538, 1455, 281, 789, 2811, 2295, 344, 267, 4313, 532, 267, 543, 1500, 609, 6266, 540, 26345, 5820, 6404, 1927, 780, 9213, 267, 649, 2811, 2469, 547, 1451, 827, 835, 1808, 2186, 540, 22101, 518, 1961, 281, 6653, 15837, 22101, 518, 1961, 256, 1306, 596, 1522, 7058, 689, 922, 2012, 267, 713, 22101, 518, 1961, 568, 1500, 609, 6653, 12277, 269, 1809, 621, 781, 865, 1454, 811, 982, 1175, 11792, 1117, 6653, 12277, 538, 513, 8670, 269, 2060, 930, 3773, 4006, 267, 14546, 267, 543, 824, 17705, 23937, 267, 6653, 15837, 22101, 518, 1961, 3587, 513, 1483, 1521, 602, 781, 3501, 585, 2027, 14026, 610, 1256, 1175, 513, 2834, 1920, 12129, 780, 3383, 1946, 946, 6653, 12277, 3079, 540, 2834, 12277, 286, 4270, 267, 6653, 12277, 616, 6923, 4418, 2678, 982, 2834, 12277, 267, 799, 2306, 873, 1390, 585, 28916, 543, 824, 8286, 1141, 596, 1616, 513, 5905, 540, 2067, 29284, 269, 1358, 2811, 849, 14095, 609, 5567, 899, 6171, 589, 543, 6775, 267, 1818, 873, 513, 8902, 3903, 982, 2834, 12277, 269, 9578, 267, 741, 6505, 10538, 2681, 8591, 513, 1187, 1402, 540, 2681, 547, 1022, 6676, 2439, 3086, 267, 1577, 781, 2911, 827, 875, 547, 1118, 6653, 15837, 22101, 518, 1961, 269, 3689, 267, 596, 3513, 991, 547, 3434, 707, 6653, 12277, 2394, 789, 2811, 2571, 2614, 547, 544, 1662, 269, 1411, 666, 798, 713, 676, 14495, 873, 538, 1216, 593, 519, 23041, 267, 610, 676, 11256, 873, 538, 519, 14089, 269, 4495, 789, 2811, 11273, 267, 1085, 17274, 856, 519, 1202, 1938, 543, 544, 1662, 873, 909, 609, 930, 7423, 267, 5144, 267, 4006, 267, 543, 14546, 899, 24036, 543, 2428, 332, 1122, 269, 3973, 267, 3262, 519, 11792, 1117, 6653, 12277, 883, 513, 22101, 518, 1961, 8670, 780, 3719, 1934, 781, 1141, 1919, 1205, 2731, 1187, 281, 519, 547, 6137, 256, 1280, 6653, 15837, 22101, 518, 1961, 267, 513, 2603, 540, 1004, 899, 547, 1283, 741, 22101, 518, 1961, 609, 22153, 332, 718, 3298, 1354, 11256, 621, 538, 519, 14089, 269, 1879, 519, 22153, 332, 718, 3298, 15835, 543, 6960, 593, 1283, 267, 789, 1711, 513, 979, 4141, 344, 267, 6653, 4494, 602, 24716, 9985, 609, 519, 29902, 8137, 540, 519, 6653, 12277, 2630, 269, 2368, 1004, 849, 20057, 548, 22872, 10808, 899, 890, 322, 753, 610, 9267, 22756, 593, 1283, 585, 3063, 29511, 780, 5629, 707, 22101, 518, 1961, 568, 19632, 267, 3274, 1402, 621, 538, 519, 14089, 543, 27106, 2394, 3388, 568, 3905, 543, 11164, 29087, 269, 901, 786, 1491, 1472, 476, 736, 268, 1789, 3764, 267, 4470, 593, 707, 14089, 2837, 269, 1879, 621, 781, 2944, 267, 1577, 621, 3579, 585, 513, 1906, 3764, 1354, 20857, 538, 780, 3086, 267, 1018, 1281, 6653, 15837, 22101, 518, 1961, 6292, 1134, 609, 286, 4595, 621, 814, 1312, 6653, 543, 29902, 2609, 267, 621, 666, 581, 6039, 607, 2901, 513, 2427, 8670, 610, 513, 1292, 1576, 269, 1403, 596, 2811, 7674, 621, 607, 513, 2427, 267, 621, 1131, 979, 1390, 609, 1945, 30644, 899, 513, 20230, 887, 770, 610, 3046, 13069, 826, 28937, 269, 2107, 267, 952, 596, 2811, 7674, 621, 607, 513, 1292, 1576, 267, 2015, 4946, 930, 3940, 899, 1989, 2683, 9269, 610, 1661, 701, 327, 547, 13557, 621, 909, 269, 1656, 1810, 1405, 7340, 513, 2241, 3039, 19997, 593, 519, 2427, 547, 3666, 856, 782, 1346, 3638, 10366, 2439, 1103, 3932, 267, 6653, 15837, 22101, 518, 1961, 568, 513, 11684, 543, 8949, 8670, 602, 781, 2653, 547, 1118, 543, 2386, 547, 5225, 269, 6787, 596, 2811, 5986, 585, 513, 15624, 610, 1175, 3054, 267, 2285, 713, 11600, 513, 2119, 543, 1294, 1018, 596, 1589, 269, 8414, 5986, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 30948, 568, 519, 1655, 2427, 8670, 547, 4196, 609, 20230, 888, 268, 10162, 16556, 12277, 267, 27315, 1540, 16719, 267, 28777, 28077, 13212, 267, 2909, 2213, 22648, 543, 11945, 14036, 616, 782, 2009, 2427, 8286, 547, 4196, 7258, 513, 20230, 887, 770, 269, 589, 26546, 267, 3039, 19997, 543, 28777, 3597, 5388, 267, 971, 607, 16163, 333, 2354, 267, 17436, 543, 19637, 267, 616, 849, 8949, 3681, 602, 9148, 513, 7594, 540, 28777, 20230, 563, 1432, 4422, 1434, 609, 29851, 304, 20230, 32409, 888, 1432, 547, 31160, 609, 17240, 1194, 623, 1251, 9995, 23495, 1127, 630, 1704, 570, 3319, 532, 590, 1938, 994, 268, 808, 531, 777, 523, 334, 12397, 30103, 563, 268, 5839, 1299, 4258, 3150, 563, 268, 12397, 623, 3291, 532, 563, 268, 5839, 16336, 328, 6428, 611, 563, 268, 8000, 6737, 6428, 611, 563, 268, 595, 1075, 3784, 6428, 611, 563, 268, 645, 8898, 2142, 753, 563, 1432, 1058, 594, 4196, 609, 15504, 20230, 888, 1432, 547, 31160, 609, 17240, 1194, 623, 1251, 281, 476, 1428, 9549, 8862, 20564, 590, 1938, 454, 268, 21690, 12397, 674, 761, 1562, 563, 268, 26006, 19643, 645, 4593, 7057, 563, 268, 1975, 5390, 7502, 731, 13983, 839, 563, 268, 2201, 542, 543, 8751, 6737, 4354, 339, 18480, 6428, 611, 563, 268, 5839, 16336, 328, 6428, 611, 563, 268, 595, 1075, 3784, 8751, 6737, 6428, 611, 563, 1432, 4422, 1434, 593, 513, 29851, 304, 26889, 888, 763, 3681, 3769, 281, 1071, 548, 1793, 1177, 267, 4584, 956, 267, 28777, 11350, 18717, 267, 1094, 583, 2946, 539, 17228, 267, 543, 1286, 14712, 1242, 19637, 269, 8176, 6068, 519, 1071, 548, 1793, 1177, 543, 4584, 956, 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, 11548, 8000, 6737, 18706, 518, 1961, 257, 607, 851, 540, 834, 23733, 1315, 20043, 1299, 2598, 1127, 1315, 18706, 518, 3421, 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, 972, 729, 513, 1895, 540, 2828, 945, 6068, 547, 18214, 10239, 269, 1358, 3323, 676, 16246, 1507, 15113, 2282, 741, 5321, 267, 855, 4166, 789, 4941, 547, 2119, 1945, 8273, 269, 1924, 267, 789, 4956, 547, 18214, 6778, 18741, 27332, 329, 16619, 538, 4000, 2439, 300, 870, 18741, 27332, 329, 16619, 568, 513, 2462, 7823, 538, 25157, 267, 799, 568, 513, 2197, 538, 5101, 4000, 269, 634, 2828, 8036, 2182, 543, 14095, 782, 519, 1919, 789, 1131, 991, 585, 741, 7045, 269, 1358, 20595, 3636, 9660, 267, 899, 13544, 1115, 543, 22970, 267, 1500, 676, 7137, 724, 9476, 267, 513, 2754, 602, 2306, 2027, 9660, 585, 1004, 945, 18214, 10239, 269, 1358, 849, 4547, 512, 757, 267, 12008, 11435, 267, 543, 824, 22742, 10591, 780, 5475, 3275, 540, 7041, 267, 519, 1554, 6368, 3357, 585, 873, 547, 1376, 741, 3460, 269, 1358, 3576, 513, 7077, 547, 25157, 543, 1558, 741, 3391, 267, 945, 5280, 873, 1205, 4712, 585, 519, 18214, 269, 1261, 4951, 873, 875, 547, 2322, 909, 741, 17895, 267, 3434, 6980, 593, 513, 2370, 23041, 267, 543, 3251, 2922, 1247, 6972, 593, 519, 22586, 18162, 780, 2026, 789, 6172, 5523, 2362, 543, 2362, 267, 789, 4718, 4190, 2831, 899, 19246, 267, 18410, 30944, 267, 543, 30539, 742, 525, 256, 1358, 849, 5293, 998, 1114, 2010, 540, 8916, 1107, 1101, 621, 729, 3905, 543, 3819, 267, 1287, 4411, 543, 6777, 344, 269, 1809, 1100, 2339, 1141, 789, 4682, 267, 789, 2141, 1185, 1142, 824, 547, 2671, 2984, 543, 14902, 338, 609, 780, 7661, 267, 1310, 1082, 2395, 540, 6972, 543, 16246, 267, 789, 6603, 519, 1283, 540, 6778, 18741, 27332, 21186, 5622, 256, 898, 5433, 899, 789, 1223, 1294, 519, 2898, 1158, 689, 909, 972, 269, 1656, 798, 596, 917, 1018, 286, 2368, 540, 741, 1007, 2828, 689, 519, 18214, 4941, 547, 979, 12341, 3116, 1932, 1107, 547, 513, 1747, 1572, 31231, 560, 12476, 8805, 780, 292, 3164, 560, 12476, 8805, 568, 1256, 2417, 2476, 982, 18741, 27332, 329, 16619, 267, 4092, 1164, 909, 538, 519, 22615, 28569, 540, 18310, 269, 2334, 779, 1946, 891, 12703, 7045, 3464, 2877, 1776, 2319, 547, 948, 873, 10891, 3388, 269, 901, 942, 267, 789, 8678, 4229, 609, 12243, 6778, 31231, 560, 267, 513, 7874, 1895, 540, 4966, 945, 6785, 4010, 875, 547, 1544, 971, 606, 6909, 7552, 780, 9617, 899, 1354, 267, 3025, 5249, 1927, 547, 1118, 2386, 3388, 10443, 12347, 269, 1879, 2576, 3893, 13110, 267, 1866, 6035, 19015, 543, 1489, 269, 769, 2132, 267, 789, 4121, 865, 1454, 827, 519, 5863, 4025, 1472, 873, 267, 543, 875, 1271, 621, 568, 547, 2149, 2470, 543, 922, 7068, 780, 4517, 950, 789, 8120, 1753, 267, 789, 7948, 1405, 7227, 547, 2995, 741, 3885, 543, 2828, 827, 741, 9035, 269, 9320, 14693, 267, 9358, 786, 6443, 873, 593, 606, 3078, 16939, 899, 713, 835, 256, 14348, 333, 1405, 602, 581, 1187, 286, 3807, 3314, 267, 2436, 596, 2263, 707, 1378, 18147, 610, 2951, 2484, 2476, 267, 1169, 3460, 6238, 609, 2921, 519, 1101, 1900, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 5938, 600, 18741, 27332, 329, 16619, 30318, 25103, 267, 16890, 543, 10500, 8270, 919, 454, 10190, 9115, 540, 713, 2985, 941, 16432, 609, 2463, 547, 1018, 649, 723, 2097, 547, 1174, 616, 2127, 267, 2472, 543, 2533, 602, 616, 1419, 540, 1719, 547, 1082, 540, 938, 7218, 267, 1312, 679, 8905, 547, 16246, 18741, 27332, 329, 16619, 609, 721, 267, 610, 7766, 547, 741, 3811, 18741, 27332, 329, 16619, 607, 1417, 563, 19950, 539, 538, 3776, 31231, 560, 12476, 8805, 7066, 802, 888, 292, 3164, 560, 12476, 8805, 689, 1175, 1269, 272, 267, 275, 4200, 829, 1268, 454, 6624, 540, 1346, 945, 723, 6172, 5523, 18741, 27332, 329, 16619, 609, 721, 936, 519, 1296, 723, 5143, 721, 789, 1616, 547, 979, 547, 31231, 560, 12476, 8805, 543, 723, 4280, 721, 585, 948, 1418, 2358, 741, 30295, 269, 11109, 2196, 1585, 4357, 30295, 547, 519, 31231, 560, 3148, 2094, 476, 1220, 273, 267, 649, 2811, 30590, 547, 14773, 602, 649, 1631, 723, 513, 11078, 5106, 267, 12243, 6778, 31231, 560, 267, 543, 602, 649, 2811, 2111, 547, 6582, 31231, 560, 12476, 8805, 1726, 802, 1032, 5180, 585, 2516, 540, 1022, 2450, 267, 593, 4357, 610, 1930, 4493, 563, 27775, 2105, 18741, 27332, 329, 16619, 16811, 13583, 20445, 454, 29155, 724, 9476, 910, 835, 540, 938, 1292, 14273, 540, 16246, 7802, 543, 3937, 563, 290, 571, 724, 641, 701, 6231, 2237, 513, 1453, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 307, 30728, 1315, 4000, 1315, 3162, 1315, 4937, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 275, 269, 4366, 278, 26764, 737, 11985, 454, 3451, 269, 277, 5038, 6515, 327, 326, 476, 275, 269, 4366, 278, 280, 3374, 737, 11985, 454, 3451, 269, 277, 4792, 6515, 327, 326, 476, 275, 269, 4366, 279, 6187, 279, 737, 11985, 454, 3451, 269, 26116, 6515, 327, 326, 476, 275, 269, 4366, 279, 1708, 737, 11985, 454, 3451, 269, 5780, 278, 6515, 327, 326, 476, 275, 269, 4366, 279, 28178, 737, 11985, 454, 3451, 269, 5780, 279, 6515, 327, 326, 476, 275, 269, 4366, 279, 5379, 279, 737, 11985, 454, 3451, 269, 5780, 280, 6515, 327, 326, 476, 275, 269, 4366, 279, 2568, 273, 737, 11985, 454, 3451, 269, 277, 3583, 6515, 327, 326, 476, 275, 269, 4366, 279, 278, 3374, 737, 11985, 454, 3451, 269, 6858, 272, 6515, 327, 326, 476, 275, 269, 4366, 279, 279, 6924, 737, 11985, 454, 3451, 269, 6858, 273, 6515, 327, 326, 476, 275, 269, 4366, 280, 9826, 737, 11985, 454, 3451, 269, 6858, 274, 6515, 327, 326, 476, 275, 269, 4366, 280, 13670, 737, 11985, 454, 3451, 269, 6858, 275, 6515, 327, 326, 476, 275, 269, 4366, 280, 28803, 737, 11985, 454, 3451, 269, 277, 4037, 6515, 327, 326, 476, 275, 269, 4366, 280, 25002, 737, 11985, 454, 3451, 269, 6858, 277, 6515, 327, 326, 476, 275, 269, 4366, 280, 276, 3374, 737, 11985, 454, 3451, 269, 277, 6507, 6515, 327, 326, 476, 275, 269, 4366, 280, 5780, 279, 737, 11985, 454, 3451, 269, 277, 4281, 6515, 327, 326, 476, 275, 269, 4366, 280, 3199, 272, 737, 11985, 454, 3451, 269, 6858, 280, 6515, 327, 326, 476, 275, 269, 4366, 280, 280, 3374, 737, 11985, 454, 3451, 269, 27151, 6515, 327, 326, 476, 275, 269, 275, 3445, 6187, 279, 737, 11985, 454, 3451, 269, 6924, 272, 6515, 327, 326, 476, 275, 269, 275, 3445, 1001, 737, 11985, 454, 3451, 269, 6924, 273, 6515, 327, 326, 476, 275, 269, 275, 3445, 28178, 737, 11985, 454, 3451, 269, 6924, 274, 6515, 327, 326, 476, 275, 269, 275, 3445, 5379, 279, 737, 11985, 454, 3451, 269, 6924, 275, 6515, 327, 326, 476, 275, 269, 275, 3445, 31430, 737, 11985, 454, 3451, 269, 277, 5952, 6515, 327, 326, 476, 275, 269, 275, 3445, 278, 3374, 737, 11985, 454, 3451, 269, 6924, 277, 6515, 327, 326, 476, 275, 269, 275, 3445, 279, 6924, 737, 11985, 454, 3451, 269, 6924, 278, 6515, 327, 326, 476, 275, 269, 5392, 272, 9826, 737, 11985, 454, 3451, 269, 277, 6434, 6515, 327, 326, 476, 275, 269, 5392, 272, 13670, 737, 11985, 454, 3451, 269, 6924, 280, 6515, 327, 326, 476, 275, 269, 5392, 272, 28803, 737, 11985, 454, 3451, 269, 277, 3445, 6515, 327, 326, 476, 275, 269, 5392, 272, 25002, 737, 11985, 454, 3451, 269, 7597, 272, 6515, 327, 326, 476, 275, 269, 5392, 272, 276, 4097, 737, 11985, 454, 3451, 269, 7597, 273, 6515, 327, 326, 476, 275, 269, 5392, 272, 5780, 279, 737, 11985, 454, 3451, 269, 7597, 274, 6515, 327, 326, 476, 275, 269, 5392, 272, 3199, 272, 737, 11985, 454, 3451, 269, 7597, 275, 6515, 327, 326, 476, 275, 269, 5392, 272, 280, 4097, 737, 11985, 454, 3451, 269, 277, 4817, 6515, 327, 326, 476, 275, 269, 5392, 273, 6187, 279, 737, 11985, 454, 3451, 269, 7597, 277, 6515, 327, 326, 476, 275, 269, 5392, 273, 1001, 737, 11985, 454, 3451, 269, 7597, 278, 6515, 327, 326, 476, 275, 269, 5392, 273, 31172, 737, 11985, 454, 3451, 269, 277, 7176, 6515, 327, 326, 476, 275, 269, 5392, 273, 5379, 279, 737, 11985, 454, 3451, 269, 277, 4200, 6515, 327, 326, 476, 275, 269, 5392, 273, 31430, 737, 11985, 454, 3451, 269, 10384, 6515, 327, 326, 476, 275, 269, 5392, 273, 278, 4097, 737, 11985, 454, 3451, 269, 3583, 272, 6515, 327, 326, 476, 275, 269, 5392, 273, 279, 6924, 737, 11985, 454, 3451, 269, 3583, 273, 6515, 327, 326, 476, 275, 269, 5392, 274, 9826, 737, 11985, 454, 3451, 269, 3583, 274, 6515, 327, 326, 476, 275, 269, 5392, 274, 16328, 737, 11985, 454, 3451, 269, 3583, 275, 6515, 327, 326, 476, 275, 269, 5392, 274, 28803, 737, 11985, 454, 3451, 269, 3583, 276, 6515, 327, 326, 476, 275, 269, 5392, 274, 25002, 737, 11985, 454, 3451, 269, 3583, 277, 6515, 327, 326, 476, 275, 269, 5392, 274, 276, 4097, 737, 11985, 454, 3451, 269, 3583, 278, 6515, 327, 326, 476, 275, 269, 5392, 274, 5780, 279, 737, 11985, 454, 3451, 269, 3583, 279, 6515, 327, 326, 476, 275, 269, 5392, 274, 3199, 272, 737, 11985, 454, 3451, 269, 3583, 280, 6515, 327, 326, 476, 275, 269, 5392, 274, 280, 4097, 737, 11985, 454, 3451, 269, 278, 1015, 6515, 327, 326, 476, 275, 269, 5392, 275, 6187, 278, 737, 11985, 454, 3451, 269, 278, 1556, 6515, 327, 326, 476, 275, 269, 5392, 275, 1001, 737, 11985, 454, 3451, 269, 278, 1321, 6515, 327, 326, 476, 275, 269, 5392, 275, 31172, 737, 11985, 454, 3451, 269, 278, 1724, 6515, 327, 326, 476, 275, 269, 5392, 275, 5379, 278, 737, 11985, 454, 3451, 269, 278, 1691, 6515, 327, 326, 476, 275, 269, 5392, 275, 31430, 737, 11985, 454, 3451, 269, 278, 1428, 6515, 327, 326, 476, 275, 269, 5392, 275, 278, 4097, 737, 11985, 454, 3451, 269, 278, 1626, 6515, 327, 326, 476, 275, 269, 5392, 275, 279, 6858, 737, 11985, 454, 3451, 269, 278, 1704, 6515, 327, 326, 476, 275, 269, 275, 4817, 9826, 737, 11985, 454, 3451, 269, 278, 1240, 6515, 327, 326, 476, 275, 269, 275, 4817, 16328, 737, 11985, 454, 3451, 269, 278, 866, 6515, 327, 326, 476, 275, 269, 275, 4817, 29045, 737, 11985, 454, 3451, 269, 24798, 6515, 327, 326, 476, 275, 269, 275, 4817, 25002, 737, 11985, 454, 3451, 269, 278, 2641, 6515, 327, 326, 476, 275, 269, 275, 4817, 276, 4097, 737, 11985, 454, 3451, 269, 278, 2420, 6515, 327, 326, 476, 275, 269, 275, 4817, 5780, 278, 737, 11985, 454, 3451, 269, 278, 2537, 6515, 327, 326, 476, 275, 269, 275, 4817, 3199, 272, 737, 11985, 454, 3451, 269, 278, 2190, 6515, 327, 326, 476, 275, 269, 275, 4817, 280, 4097, 737, 11985, 454, 3451, 269, 278, 1839, 6515, 327, 326, 476, 275, 269, 5392, 277, 6187, 278, 737, 11985, 454, 3451, 269, 278, 2918, 6515, 327, 326, 476, 275, 269, 5392, 277, 1001, 737, 11985, 454, 3451, 269, 278, 2767, 6515, 327, 326, 476, 275, 269, 5392, 277, 31172, 737, 11985, 454, 3451, 269, 278, 2764, 6515, 327, 326, 476, 275, 269, 5392, 277, 5379, 278, 737, 11985, 454, 3451, 269, 278, 3066, 6515, 327, 326, 476, 275, 269, 5392, 277, 277, 737, 11985, 454, 3451, 269, 278, 1789, 6515, 327, 326, 476, 275, 269, 5392, 277, 278, 4097, 737, 11985, 454, 3451, 269, 278, 4029, 6515, 327, 326, 476, 275, 269, 5392, 277, 279, 6858, 737, 11985, 454, 3451, 269, 278, 3953, 6515, 327, 326, 476, 275, 269, 5392, 278, 737, 11985, 454, 3451, 269, 278, 3451, 6515, 327, 326, 476, 275, 269, 5392, 278, 16328, 737, 11985, 454, 3451, 269, 278, 4097, 6515, 327, 326, 476, 275, 269, 5392, 278, 29045, 737, 11985, 454, 3451, 269, 278, 3374, 6515, 327, 326, 476, 275, 269, 5392, 278, 275, 737, 11985, 454, 3451, 269, 278, 3607, 6515, 327, 326, 476, 275, 269, 5392, 278, 276, 4097, 737, 11985, 454, 3451, 269, 278, 4391, 6515, 327, 326, 476, 275, 269, 5392, 278, 5780, 278, 737, 11985, 454, 3451, 269, 278, 4343, 6515, 327, 326, 476, 275, 269, 5392, 278, 279, 737, 11985, 454, 3451, 269, 278, 4375, 6515, 327, 326, 476, 275, 269, 5392, 278, 280, 4097, 737, 11985, 454, 3451, 269, 278, 2412, 6515, 327, 326, 476, 275, 269, 5392, 279, 6187, 278, 737, 11985, 454, 3451, 269, 278, 6078, 6515, 327, 326, 476, 275, 269, 5392, 279, 273, 737, 11985, 454, 3451, 269, 278, 5655, 6515, 327, 326, 476, 275, 269, 5392, 279, 31172, 737, 11985, 454, 3451, 269, 278, 6246, 6515, 327, 326, 476, 275, 269, 5392, 279, 5379, 278, 737, 11985, 454, 3451, 269, 278, 4510, 6515, 327, 326, 476, 275, 269, 5392, 279, 277, 737, 11985, 454, 3451, 269, 278, 3393, 6515, 327, 326, 476, 275, 269, 5392, 279, 278, 4097, 737, 11985, 454, 3451, 269, 278, 5379, 6515, 327, 326, 476, 275, 269, 5392, 279, 279, 6858, 737, 11985, 454, 3451, 269, 278, 5325, 6515, 327, 326, 476, 275, 269, 275, 4200, 737, 11985, 454, 3451, 269, 278, 4366, 6515, 327, 326, 476, 275, 269, 275, 4200, 15836, 737, 11985, 454, 3451, 269, 278, 5392, 6515, 327, 326, 476, 275, 269, 275, 4200, 29045, 737, 11985, 454, 3451, 269, 16020, 6515, 327, 326, 476, 275, 269, 275, 4200, 275, 737, 11985, 454, 3451, 269, 4037, 272, 6515, 327, 326, 476, 275, 269, 275, 4200, 276, 3451, 737, 11985, 454, 3451, 269, 4037, 273, 6515, 327, 326, 476, 275, 269, 275, 4200, 5780, 278, 737, 11985, 454, 3451, 269, 4037, 274, 6515, 327, 326, 476, 275, 269, 275, 4200, 279, 737, 11985, 454, 3451, 269, 4037, 275, 6515, 327, 326, 476, 275, 269, 275, 4200, 280, 3451, 737, 11985, 454, 3451, 269, 4037, 276, 6515, 327, 326, 476, 275, 269, 4335, 6187, 278, 737, 11985, 454, 3451, 269, 4037, 277, 6515, 327, 326, 476, 275, 269, 4335, 273, 737, 11985, 454, 3451, 269, 4037, 278, 6515, 327, 326, 476, 275, 269, 4335, 18357, 737, 11985, 454, 3451, 269, 4037, 279, 6515, 327, 326, 476, 275, 269, 4335, 5379, 278, 737, 11985, 454, 3451, 269, 4037, 280, 6515, 327, 326, 476, 275, 269, 4335, 277, 737, 11985, 454, 3451, 269, 31318, 6515, 327, 326, 476, 275, 269, 4335, 278, 3451, 737, 11985, 454, 3451, 269, 278, 8618, 6515, 327, 326, 476, 275, 269, 4335, 279, 6858, 737, 11985, 454, 3451, 269, 278, 7830, 6515, 327, 326, 476, 275, 269, 26341, 737, 11985, 454, 3451, 269, 278, 8287, 6515, 327, 326, 476, 275, 269, 26341, 15836, 737, 11985, 454, 3451, 269, 278, 5038, 6515, 327, 326, 476, 275, 269, 26341, 29214, 737, 11985, 454, 3451, 269, 278, 4792, 6515, 327, 326, 476, 275, 269, 26341, 275, 737, 11985, 454, 3451, 269, 278, 5780, 6515, 327, 326, 476, 275, 269, 26341, 276, 3451, 737, 11985, 454, 3451, 269, 278, 6858, 6515, 327, 326, 476, 275, 269, 26341, 26116, 737, 11985, 454, 3451, 269, 278, 6924, 6515, 327, 326, 476, 275, 269, 26341, 279, 737, 11985, 454, 3451, 269, 278, 7597, 6515, 327, 326, 476, 275, 269, 26341, 280, 3451, 737, 11985, 454, 3451, 269, 278, 3583, 6515, 327, 326, 476, 275, 269, 2004, 273, 271, 5780, 737, 11985, 454, 3451, 269, 6507, 272, 6515, 327, 326, 476, 275, 269, 2004, 273, 273, 737, 11985, 454, 3451, 269, 6507, 273, 6515, 327, 326, 476, 275, 269, 2004, 273, 18357, 737, 11985, 454, 3451, 269, 6507, 274, 6515, 327, 326, 476, 275, 269, 2004, 273, 5379, 277, 737, 11985, 454, 3451, 269, 6507, 275, 6515, 327, 326, 476, 275, 269, 2004, 273, 277, 737, 11985, 454, 3451, 269, 278, 4037, 6515, 327, 326, 476, 275, 269, 2004, 273, 278, 3451, 737, 11985, 454, 3451, 269, 6507, 277, 6515, 327, 326, 476, 275, 269, 2004, 273, 279, 5780, 737, 11985, 454, 3451, 269, 6507, 278, 6515, 327, 326, 476, 275, 269, 2004, 274, 737, 11985, 454, 3451, 269, 278, 4281, 6515, 327, 326, 476, 275, 269, 2004, 274, 15836, 737, 11985, 454, 3451, 269, 6507, 280, 6515, 327, 326, 476, 275, 269, 2004, 274, 29214, 737, 11985, 454, 3451, 269, 278, 3199, 6515, 327, 326, 476, 275, 269, 2004, 274, 275, 737, 11985, 454, 3451, 269, 4281, 272, 6515, 327, 326, 476, 275, 269, 2004, 274, 276, 3451, 737, 11985, 454, 3451, 269, 4281, 273, 6515, 327, 326, 476, 275, 269, 2004, 274, 26116, 737, 11985, 454, 3451, 269, 4281, 274, 6515, 327, 326, 476, 275, 269, 2004, 274, 278, 4200, 737, 11985, 454, 3451, 269, 4281, 275, 6515, 327, 326, 476, 275, 269, 2004, 274, 280, 3451, 737, 11985, 454, 3451, 269, 4281, 276, 6515, 327, 326, 476, 275, 269, 27843, 271, 5780, 737, 11985, 454, 3451, 269, 4281, 277, 6515, 327, 326, 476, 275, 269, 27843, 1960, 737, 11985, 454, 3451, 269, 4281, 278, 6515, 327, 326, 476, 275, 269, 27843, 18357, 737, 11985, 454, 3451, 269, 4281, 279, 6515, 327, 326, 476, 275, 269, 27843, 5379, 277, 737, 11985, 454, 3451, 269, 4281, 280, 6515, 327 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2792, 1063, 1053, 543, 3610, 269, 1879, 2324, 609, 1053, 20716, 267, 972, 568, 1454, 811, 11327, 2792, 3710, 998, 5796, 593, 782, 2055, 602, 8451, 269, 1703, 568, 849, 6351, 538, 3384, 513, 4101, 1888, 267, 3246, 3606, 1344, 593, 519, 6074, 4287, 543, 824, 2188, 630, 21595, 16129, 1696, 620, 269, 476, 20720, 1040, 901, 1164, 2792, 4110, 3112, 581, 6913, 538, 2757, 3506, 1317, 540, 519, 2799, 24913, 269, 20028, 1565, 5867, 1450, 1053, 547, 6895, 741, 3356, 269, 1280, 1383, 267, 519, 4116, 666, 2638, 519, 2875, 779, 7194, 543, 9344, 585, 519, 6192, 4245, 693, 1022, 942, 269, 4935, 267, 519, 2875, 666, 4309, 12905, 543, 4143, 5955, 593, 1010, 7084, 267, 799, 1419, 3340, 811, 942, 538, 513, 3044, 1153, 269, 769, 1840, 547, 519, 1164, 1377, 540, 6422, 5872, 1063, 4116, 543, 1053, 267, 972, 568, 513, 17401, 14661, 4276, 1063, 519, 1053, 2933, 1932, 630, 21595, 16129, 1696, 620, 269, 476, 26801, 1040, 14313, 543, 2200, 616, 10299, 267, 543, 5571, 5348, 1458, 786, 581, 2813, 538, 519, 1565, 1184, 607, 1142, 16045, 8309, 547, 1576, 5717, 543, 8292, 593, 519, 960, 540, 15032, 563, 26855, 2163, 1948, 272, 281, 1160, 12465, 4065, 454, 25565, 2069, 568, 9120, 547, 2228, 6030, 538, 2474, 540, 23462, 3255, 585, 1053, 269, 898, 3091, 811, 1713, 1514, 23918, 998, 31934, 1895, 2238, 543, 2792, 269, 3194, 6920, 602, 1053, 945, 2347, 2228, 6030, 616, 2547, 2111, 547, 4497, 538, 18756, 1565, 543, 1995, 4763, 982, 1346, 945, 1491, 22356, 6030, 630, 291, 636, 5112, 543, 16019, 476, 3393, 273, 1040, 19662, 585, 12200, 543, 824, 1053, 616, 3908, 267, 2523, 538, 4830, 5049, 269, 898, 568, 4101, 547, 1020, 3347, 609, 16929, 543, 824, 1071, 24713, 757, 267, 799, 568, 1946, 972, 568, 519, 10171, 540, 3908, 2199, 13033, 7207, 269, 13518, 2792, 4386, 998, 552, 25252, 924, 267, 10004, 267, 610, 4901, 2516, 2864, 982, 538, 606, 22356, 5790, 269, 6736, 519, 14357, 779, 30506, 267, 972, 568, 513, 1966, 2404, 609, 519, 3668, 540, 513, 10531, 1935, 7282, 3068, 3562, 19904, 2792, 543, 5872, 593, 519, 851, 540, 519, 14357, 630, 291, 636, 5112, 543, 16019, 476, 28526, 1040, 769, 2489, 267, 713, 2164, 538, 513, 3668, 540, 519, 2875, 5790, 602, 568, 2877, 547, 1711, 1514, 5872, 269, 4475, 267, 2228, 6030, 3112, 1683, 513, 6190, 1377, 540, 4276, 1063, 1053, 267, 799, 666, 11874, 1764, 741, 1514, 5759, 538, 519, 2104, 563, 26855, 2163, 1948, 273, 281, 1160, 12465, 4065, 454, 25565, 3506, 2709, 3606, 2238, 6896, 547, 3986, 2417, 3255, 269, 4675, 11915, 2069, 538, 1153, 568, 711, 1175, 606, 29599, 2534, 5473, 1585, 15731, 610, 6810, 269, 901, 1523, 6411, 607, 513, 1797, 540, 5935, 513, 1126, 779, 7209, 543, 6024, 1565, 540, 3407, 21941, 269, 27392, 2829, 602, 968, 10177, 6463, 1565, 5054, 1419, 4183, 29599, 2238, 267, 15731, 267, 543, 2516, 602, 666, 782, 3565, 547, 2123, 1646, 543, 16056, 2679, 892, 630, 1706, 320, 269, 476, 278, 1040, 634, 3119, 3483, 540, 12180, 29599, 2238, 267, 15731, 267, 6810, 267, 543, 1528, 633, 6030, 568, 2038, 8446, 676, 519, 4116, 540, 519, 1126, 779, 15421, 269, 14755, 267, 621, 568, 849, 519, 1646, 540, 3860, 5759, 267, 519, 5250, 540, 513, 11684, 5858, 540, 1010, 4690, 267, 543, 519, 948, 538, 3318, 1582, 24148, 269, 901, 30193, 15731, 689, 3606, 2228, 6030, 267, 799, 513, 1268, 27861, 1317, 540, 7279, 610, 693, 1010, 24787, 267, 3056, 547, 23696, 1565, 269, 769, 1840, 267, 24045, 1153, 2069, 568, 6322, 693, 519, 2123, 10066, 540, 1053, 630, 14976, 325, 13403, 1696, 620, 269, 476, 10602, 1040, 898, 568, 7463, 267, 1617, 850, 767, 267, 543, 1759, 593, 3119, 1153, 3292, 267, 3850, 1007, 1702, 543, 28051, 2907, 4607, 538, 519, 4928, 563, 763, 9030, 11696, 28917, 1063, 2228, 543, 3845, 1565, 568, 519, 1184, 540, 16565, 1007, 1702, 543, 5759, 3544, 519, 4928, 543, 998, 1463, 3346, 609, 16929, 269, 5637, 4485, 547, 1565, 2015, 519, 1655, 4690, 540, 1053, 543, 1871, 2298, 1565, 269, 9608, 29492, 609, 519, 4116, 666, 2049, 1282, 2228, 1565, 543, 538, 519, 2834, 4928, 630, 14976, 325, 13403, 1696, 620, 269, 476, 6507, 1040, 769, 1840, 267, 899, 2757, 1565, 267, 2228, 1565, 568, 2966, 585, 30223, 1053, 543, 786, 1683, 811, 3255, 585, 2208, 543, 2417, 2069, 269, 4841, 685, 18515, 547, 1451, 543, 581, 3742, 538, 519, 4928, 568, 14063, 1282, 1312, 2757, 543, 2228, 1565, 269, 901, 3815, 8309, 547, 3811, 1565, 1100, 2339, 875, 519, 1344, 568, 9715, 630, 14976, 325, 13403, 1696, 620, 269, 476, 4281, 1040, 4256, 1455, 4145, 616, 519, 991, 547, 11694, 519, 7145, 540, 519, 1565, 1184, 267, 922, 1264, 28467, 267, 543, 7520, 2875, 14482, 12329, 2792, 563, 14399, 538, 10026, 1153, 1353, 2407, 6066, 267, 543, 1053, 538, 1164, 1153, 1590, 946, 519, 20762, 1565, 1505, 269, 634, 7820, 1153, 2115, 547, 1514, 1125, 543, 4497, 1053, 538, 519, 6437, 269, 4475, 267, 621, 568, 2565, 602, 2757, 1565, 581, 4294, 547, 21738, 1164, 6267, 269, 1280, 9972, 1164, 1153, 543, 6280, 6267, 267, 513, 20762, 1565, 1106, 568, 3617, 269, 1280, 2500, 1565, 267, 9256, 891, 1079, 3029, 568, 1898, 267, 7175, 519, 1655, 7907, 547, 581, 1031, 269, 2349, 2105, 1565, 10905, 2757, 3029, 540, 4928, 2866, 609, 2609, 540, 552, 19543, 269, 898, 2882, 7415, 1344, 4066, 267, 971, 607, 2780, 12449, 267, 8301, 543, 3381, 267, 543, 7317, 2609, 269, 634, 1565, 1184, 540, 20762, 1565, 568, 513, 5311, 540, 11775, 540, 2757, 543, 552, 19543, 267, 799, 14595, 538, 942, 630, 19913, 928, 3187, 543, 7027, 476, 4343, 280, 1040, 3414, 2413, 552, 19543, 2645, 267, 621, 568, 7543, 547, 1711, 513, 1702, 3490, 602, 786, 2141, 581, 693, 519, 2875, 779, 1688, 563, 1103, 4334, 547, 519, 8106, 1565, 2203, 267, 519, 2875, 814, 1569, 547, 3450, 2326, 267, 3381, 18862, 267, 2835, 267, 610, 1138, 22399, 538, 20762, 1565, 269, 769, 519, 6552, 1565, 1062, 267, 513, 2875, 666, 2141, 2307, 513, 2243, 547, 519, 4116, 543, 4309, 606, 2626, 1510, 7996, 585, 519, 1985, 3068, 3562, 19904, 1362, 630, 19913, 928, 3187, 543, 7027, 476, 4343, 280, 1040, 2311, 519, 1482, 942, 267, 538, 1931, 547, 4487, 519, 3069, 267, 4052, 7886, 616, 16601, 267, 799, 1058, 581, 4371, 538, 519, 4928, 269, 4935, 267, 519, 4999, 540, 519, 2596, 3741, 540, 2228, 543, 2757, 1565, 786, 9192, 519, 1655, 7907, 540, 519, 1079, 1949, 563, 19119, 519, 18830, 17121, 454, 3528, 3858, 532, 547, 14207, 267, 621, 786, 1020, 2081, 547, 2232, 519, 28919, 540, 2228, 543, 2757, 1565, 543, 1265, 2417, 4720, 607, 513, 14323, 3872, 1935, 269, 769, 713, 1259, 267, 1053, 786, 581, 538, 513, 1565, 1604, 602, 2636, 1142, 15226, 547, 2744, 513, 1390, 4308, 540, 3606, 1702, 543, 2702, 269, 2311, 519, 1482, 942, 267, 789, 786, 581, 6035, 7811, 1570, 2228, 267, 7175, 3025, 547, 25058, 1367, 942, 547, 4974, 621, 630, 19913, 928, 3187, 543, 7027, 476, 29496, 1040, 22353, 267, 1053, 945, 991, 3606, 3137, 786, 723, 811, 942, 547, 10146, 519, 1570, 269, 6732, 6030, 786, 1683, 3255, 547, 1020, 4058, 1983, 267, 1852, 267, 543, 1451, 875, 547, 4383, 741, 942, 543, 3406, 585, 1344, 269, 4935, 267, 519, 5413, 540, 20762, 1565, 568, 602, 2228, 1565, 786, 581, 13166, 5189, 18385, 538, 3872, 5238, 269, 4634, 1310, 519, 6855, 1974, 568, 2347, 267, 3872, 5238, 786, 946, 713, 1565, 1935, 563, 289, 2465, 267, 5981, 18588, 269, 968, 763, 22436, 1299, 32539, 540, 12465, 4065, 1848, 552, 1692, 267, 5680, 563, 289, 23293, 518, 267, 18238, 267, 543, 12246, 13860, 700, 4141, 321, 269, 968, 23220, 2478, 543, 16381, 17517, 540, 6732, 4065, 1848, 15845, 4325, 6545, 18614, 267, 2019, 269, 476, 273, 267, 1100, 269, 476, 1428, 267, 476, 1001, 278, 267, 6032, 269, 476, 272, 268, 275, 269, 5680, 563, 291, 636, 5112, 267, 2549, 828, 667, 1421, 543, 4911, 773, 700, 269, 16019, 269, 968, 15697, 4804, 538, 14451, 4065, 281, 10289, 22436, 543, 32539, 585, 22580, 1848, 4750, 540, 17270, 538, 14451, 4065, 267, 2019, 269, 476, 1789, 267, 1100, 269, 476, 274, 267, 476, 1001, 279, 267, 6032, 269, 476, 3393, 273, 268, 275, 4792, 269, 5680, 563, 14976, 325, 13403, 267, 715, 1695, 573, 10609, 531, 559, 267, 1696, 620, 269, 968, 25842, 540, 661, 6441, 792, 940, 5288, 12465, 4804, 593, 9906, 779, 13437, 543, 5900, 3363, 1848, 4139, 4750, 540, 6481, 3194, 1299, 2657, 7070, 267, 2019, 269, 476, 279, 267, 1100, 269, 476, 1015, 267, 476, 1001, 280, 267, 6032, 269, 476, 10602, 268, 11025, 269, 5680, 563, 21595, 16129, 267, 1744, 841, 754, 571, 267, 1696, 620, 269, 968, 15697, 4065, 281, 2622, 4204, 21073, 267, 12694, 267, 12367, 267, 543, 20480, 1848, 4750, 540, 6820, 6176, 5303, 5004, 267, 2019, 269, 476, 2641, 267, 1100, 269, 476, 275, 267, 476, 1001, 279, 267, 6032, 269, 476, 22001, 268, 25240, 269, 5680, 563, 19913, 928, 3187, 267, 6341, 13183, 320, 267, 543, 26795, 700, 4768, 514, 7027, 269, 968, 291, 2700, 4804, 538, 634, 16527, 540, 5046, 268, 866, 1848, 19964, 540, 32536, 1670, 3194, 267, 2019, 269, 476, 27123, 267, 1100, 269, 476, 276, 267, 476, 1708, 272, 267, 6032, 269, 476, 4343, 280, 268, 29496, 269, 5680, 269, 0, 8310, 21213, 593, 2904, 476, 1789, 267, 476, 1708, 274, 454, 294, 6504, 619, 1419, 4898, 267, 968, 6011, 1281, 1293, 3724, 960, 538, 17075, 286, 4032, 3724, 568, 513, 1062, 1031, 547, 3313, 519, 16771, 540, 513, 6735, 950, 1079, 610, 811, 5716, 616, 13615, 269, 898, 779, 513, 829, 14658, 532, 10206, 602, 666, 581, 32612, 518, 1346, 14542, 609, 621, 269, 1809, 1018, 4010, 568, 1293, 3724, 267, 543, 875, 1281, 621, 960, 286, 769, 713, 5816, 2022, 267, 649, 3580, 2491, 782, 596, 991, 547, 917, 827, 1293, 3724, 538, 17075, 267, 1519, 950, 543, 1946, 621, 779, 1031, 269, 1924, 267, 1224, 593, 563, 8368, 540, 12937, 912, 268, 1548, 568, 4032, 3724, 538, 717, 6504, 888, 268, 1215, 6496, 4032, 3724, 4518, 888, 268, 1879, 568, 4032, 3724, 13242, 888, 268, 14174, 17988, 538, 4039, 566, 547, 1215, 6496, 4032, 3724, 4518, 538, 717, 6504, 454, 1432, 568, 4032, 3724, 538, 717, 6504, 888, 15575, 3724, 568, 513, 1106, 540, 17063, 3691, 6033, 1031, 538, 17075, 547, 3313, 519, 16771, 950, 1079, 610, 811, 5716, 723, 13615, 585, 519, 1482, 6060, 269, 4032, 3724, 568, 1419, 6964, 538, 3318, 2621, 543, 824, 8013, 5468, 547, 3715, 513, 17046, 4619, 528, 1510, 26089, 3606, 1404, 269, 769, 9759, 267, 1293, 3724, 3340, 5716, 547, 5635, 741, 8464, 593, 1367, 9475, 1996, 1142, 824, 2394, 835, 6345, 814, 606, 5413, 936, 519, 1866, 563, 15575, 3724, 568, 606, 1271, 1523, 547, 1174, 538, 17075, 267, 607, 621, 666, 1419, 3313, 519, 6364, 540, 513, 29658, 269, 18833, 875, 1293, 3724, 1568, 568, 1898, 585, 1022, 575, 565, 2536, 3168, 547, 1491, 741, 3014, 547, 519, 1985, 1377, 269, 25021, 593, 267, 1577, 779, 2263, 4010, 875, 1293, 3724, 1568, 543, 922, 6286, 585, 8013, 1404, 563, 1692, 6496, 4032, 3724, 4518, 888, 2005, 568, 1034, 4122, 1031, 538, 27656, 777, 19194, 267, 971, 607, 853, 762, 5112, 543, 30407, 1404, 267, 855, 621, 666, 849, 581, 1031, 585, 8482, 1404, 543, 6474, 2452, 4663, 23788, 269, 769, 1931, 547, 5173, 1293, 3724, 267, 519, 2698, 1297, 540, 15833, 3144, 676, 1142, 6345, 593, 519, 3803, 8559, 630, 528, 9475, 264, 1590, 1101, 581, 5462, 269, 901, 666, 581, 2944, 1210, 2901, 14407, 8464, 610, 27656, 777, 18116, 267, 4470, 593, 519, 6735, 3898, 1373, 5129, 563, 2690, 1383, 267, 952, 1079, 5716, 616, 12721, 538, 513, 853, 762, 5112, 6735, 609, 513, 1079, 268, 6590, 1376, 543, 1312, 723, 20639, 476, 3374, 2798, 1310, 476, 1240, 9475, 267, 1287, 1293, 3724, 786, 991, 547, 581, 7229, 689, 741, 6060, 11568, 538, 1931, 547, 6430, 945, 814, 4465, 269, 634, 2698, 1297, 540, 15833, 3144, 676, 1142, 6345, 593, 519, 2063, 8559, 1058, 1287, 581, 3379, 282, 952, 835, 6345, 814, 3144, 7864, 15833, 982, 1010, 18545, 267, 1287, 646, 786, 3094, 30739, 1107, 6382, 267, 789, 786, 2611, 13615, 267, 543, 2417, 10203, 1394 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1072, 267, 543, 1256, 707, 15325, 269, 798, 454, 4818, 564, 550, 602, 948, 454, 5306, 745, 2065, 4634, 1762, 1453, 1745, 1434, 827, 4687, 267, 543, 547, 930, 6708, 267, 5621, 745, 2065, 21274, 949, 581, 3710, 2987, 585, 1034, 1004, 563, 9767, 621, 1280, 811, 281, 3367, 938, 2376, 593, 968, 26668, 18467, 29179, 1772, 6153, 585, 1411, 892, 543, 2441, 710, 25020, 779, 7778, 540, 968, 1432, 1284, 5192, 1879, 1284, 12315, 1848, 563, 26171, 267, 538, 2661, 3681, 269, 1004, 1454, 3367, 827, 26701, 523, 11412, 19213, 3933, 19172, 779, 1382, 547, 1174, 24123, 5621, 745, 1235, 269, 1004, 513, 454, 845, 798, 786, 454, 529, 3959, 513, 948, 16816, 745, 1143, 454, 9987, 1656, 950, 1053, 4497, 538, 968, 267, 16816, 745, 1143, 568, 21380, 281, 1879, 649, 2285, 267, 649, 1810, 1406, 1152, 948, 519, 7525, 18579, 540, 938, 10516, 563, 7197, 1004, 616, 20916, 547, 948, 856, 513, 1655, 3659, 610, 513, 2673, 1920, 4759, 538, 991, 269, 1411, 454, 4777, 3371, 616, 930, 1808, 267, 2257, 2861, 2238, 585, 14237, 5621, 745, 1143, 689, 938, 1007, 3135, 20523, 6153, 538, 11059, 281, 3371, 616, 930, 6626, 2081, 547, 20741, 938, 1378, 5621, 745, 2065, 26756, 11652, 948, 18663, 5621, 745, 1143, 538, 1866, 563, 15276, 267, 6787, 5589, 760, 20934, 16816, 745, 1143, 568, 9117, 547, 948, 2576, 3116, 693, 930, 1942, 547, 13951, 269, 2859, 543, 811, 267, 1382, 5267, 602, 8026, 5621, 745, 1143, 10597, 938, 2123, 1134, 5630, 1765, 655, 10056, 958, 267, 9308, 267, 6535, 656, 1227, 267, 543, 5310, 1256, 20019, 269, 4543, 602, 596, 454, 517, 269, 543, 538, 6023, 454, 21093, 543, 1323, 1268, 454, 5306, 745, 12264, 267, 1403, 10434, 569, 563, 2102, 1968, 540, 789, 454, 2414, 3787, 547, 547, 596, 2368, 1004, 616, 5693, 811, 610, 1447, 5621, 745, 2065, 982, 1866, 1765, 5976, 1289, 748, 2618, 13771, 338, 267, 5310, 267, 593, 519, 1970, 1439, 267, 1004, 945, 1981, 741, 2729, 585, 21046, 593, 519, 824, 1439, 267, 543, 519, 1964, 540, 721, 538, 519, 1647, 269, 634, 538, 568, 454, 29442, 707, 513, 5621, 745, 1143, 269, 666, 454, 339, 820, 8616, 267, 2634, 1142, 454, 655, 1120, 1890, 8525, 30206, 14532, 310, 1731, 529, 3436, 3281, 6842, 12763, 906, 3436, 29955, 10263, 1607, 3296, 568, 19040, 676, 519, 1826, 540, 2268, 269, 666, 2693, 538, 4881, 454, 1492, 5621, 745, 1143, 11569, 267, 519, 2694, 540, 519, 2634, 602, 616, 1034, 3238, 538, 6568, 267, 5621, 745, 1143, 267, 543, 4543, 616, 519, 993, 17789, 323, 8403, 543, 519, 4776, 30613, 16794, 267, 2127, 602, 616, 3743, 585, 7553, 543, 7553, 7939, 630, 8201, 476, 279, 269, 273, 267, 968, 29248, 4331, 543, 29955, 538, 519, 5274, 11020, 892, 1916, 320, 2042, 267, 6468, 267, 6568, 5963, 568, 1809, 1932, 1419, 267, 649, 1810, 1406, 957, 593, 938, 4412, 839, 885, 585, 11587, 607, 649, 1205, 4587, 269, 568, 454, 2521, 532, 547, 2057, 20949, 10918, 286, 6530, 269, 3100, 454, 1993, 616, 4543, 3106, 267, 5213, 908, 2760, 1524, 454, 24119, 1742, 609, 769, 4065, 269, 666, 4324, 454, 26807, 19037, 267, 16816, 745, 2065, 25372, 543, 519, 25262, 566, 540, 2186, 23339, 948, 2327, 782, 2818, 540, 513, 9395, 10275, 27848, 1895, 723, 19307, 950, 789, 991, 621, 563, 663, 4766, 949, 454, 514, 1072, 2576, 6787, 649, 899, 621, 610, 711, 267, 948, 267, 952, 621, 568, 547, 581, 4810, 607, 5363, 267, 666, 1152, 581, 3989, 676, 519, 835, 1373, 5280, 267, 711, 519, 835, 3246, 519, 948, 269, 1548, 1772, 29807, 574, 3415, 10017, 267, 1656, 16393, 898, 2142, 1280, 2725, 888, 1729, 334, 3163, 4741, 3040, 28633, 454, 16269, 789, 3689, 267, 2070, 547, 5621, 745, 1143, 8007, 2123, 1072, 2744, 540, 454, 27463, 848, 585, 538, 4965, 269, 676, 1056, 619, 5621, 745, 12264, 1072, 596, 269, 948, 538, 513, 3871, 563, 1326, 2808, 14000, 267, 21816, 324, 1359, 3054, 949, 454, 2005, 602, 1082, 454, 320, 1022, 609, 454, 4310, 589, 2388, 1759, 9003, 593, 519, 8404, 547, 4324, 1776, 616, 6069, 547, 1267, 689, 513, 3126, 540, 5042, 2621, 269, 1565, 540, 454, 28717, 9407, 4001, 4125, 25580, 616, 454, 301, 2720, 532, 14581, 25849, 906, 6435, 6092, 1740, 267, 7454, 7186, 5675, 476, 1708, 271, 3194, 267, 24225, 5675, 22276, 19837, 10488, 267, 1215, 7043, 1677, 3503, 589, 476, 1911, 271, 6478, 4828, 23749, 267, 5675, 17130, 476, 273, 2201, 4065, 2060, 12226, 6092, 1740, 267, 5675, 13898, 966, 2795, 333, 476, 273, 526, 9990, 21584, 9137, 267, 5685, 880, 634, 9452, 5675, 8871, 14186, 21584, 9137, 267, 1548, 1772, 11660, 5675, 623, 696, 4828, 267, 20505, 2986, 12834, 5675, 3194, 267, 1215, 1677, 3503, 4828, 769, 2296, 14474, 267, 21931, 5675, 5149, 476, 275, 628, 6103, 19837, 10488, 267, 5675, 1323, 7201, 12392, 19080, 267, 1284, 2273, 5675, 8871, 14186, 19837, 10488, 267, 2051, 22017, 5675, 1656, 31898, 7595, 19837, 10488, 267, 1215, 1677, 17546, 595, 27641, 5675, 19837, 10488, 267, 16217, 343, 529, 5675, 11905, 2861, 4828, 8871, 14186, 267, 23749, 25767, 539, 1746, 19080, 267, 19258, 548, 2421, 3503, 5623, 19837, 10488, 267, 5664, 3427, 5675, 6096, 21584, 3194, 267, 5675, 1280, 11773, 12226, 3194, 267, 29480, 5675, 7689, 4643, 5729, 476, 278, 19080, 267, 31802, 1280, 29955, 11524, 9137, 267, 5441, 4828, 3798, 1746, 7896, 267, 1401, 6374, 541, 5675, 27842, 9137, 267, 5675, 2659, 7731, 3778, 19837, 10488, 267, 12474, 5675, 22276, 3194, 267, 1215, 1677, 3503, 589, 1160, 27760, 1280, 8750, 532, 3245, 6554, 9137, 267, 3503, 1323, 4828, 2201, 634, 7756, 9537, 2986, 22419, 5900, 26167, 1677, 634, 3718, 2986, 654, 1712, 5264, 267, 1215, 1677, 3503, 589, 5441, 13335, 4828, 267, 3194, 7797, 5675, 6215, 1938, 327, 732, 267, 1215, 1677, 3503, 589, 5253, 5623, 1280, 3427, 3194, 267, 5675, 2755, 4400, 19080, 267, 21931, 5675, 11762, 1280, 6103, 476, 274, 6092, 1740, 267, 590, 984, 686, 1214, 6435, 4828, 267, 12333, 3798, 1746, 6744, 4289, 19837, 10488, 267, 5675, 10341, 10495, 6092, 1740, 267, 30059, 769, 14288, 5675, 21584, 19080, 267, 5999, 1677, 9105, 1677, 13724, 5675, 19837, 10488, 267, 6153, 14576, 338, 1677, 3503, 1323, 5811, 7433, 2201, 9137, 267, 5675, 6168, 670, 8554, 1656, 14134, 338, 19837, 10488, 267, 20985, 5675, 11242, 1280, 20661, 19080, 267, 631, 17304, 11300, 5675, 6092, 1740, 267, 3503, 6168, 589, 6490, 22789, 5549, 1211, 769, 2659, 5020, 2060, 769, 476, 1911, 9293, 3194, 267, 5675, 12143, 14313, 9137, 267, 3503, 1323, 4828, 2201, 589, 7591, 267, 5455, 1740, 5675, 19080, 267, 3503, 7433, 1280, 2725, 595, 19281, 517, 9137, 267, 32722, 5675, 476, 275, 628, 6103, 5295, 4812, 6092, 1740, 267, 5675, 589, 3933, 860, 826, 8018, 21584, 4828, 267, 1215, 1677, 3503, 1323, 4828, 6168, 9861, 589, 29237, 267, 5675, 13823, 2388, 1656, 1230, 7501, 6096, 19080, 267, 27752, 781, 8074, 1504, 7435, 719, 3194, 267, 11150, 1677, 3683, 2492, 27752, 781, 13332, 19837, 10488, 267, 11300, 5675, 10341, 21584, 9137, 267, 1879, 594, 6435, 25126, 3194, 267, 17291, 5871, 8210, 5558, 769, 5675, 21584, 9137, 267, 1215, 1677, 3503, 589, 9085, 5623, 2387, 4828, 267, 17778, 1677, 3503, 1323, 17593, 4828, 267, 3816, 8221, 2334, 3245, 5675, 19837, 10488, 267, 11300, 5675, 11762, 2060, 12226, 19080, 267, 1215, 1677, 3503, 589, 5441, 5426, 4828, 267, 11062, 9137, 5675, 267, 594, 601, 1206, 4937, 5675, 27842, 9137, 267, 1548, 3657, 634, 20212, 9737, 634, 5678, 22948, 2986, 7335, 1656, 5675, 286, 6092, 1740, 267, 19837, 10488, 5675, 7896, 31245, 267, 8682, 12431, 20156, 2986, 2296, 5675, 10341, 3194, 267, 11300, 5675, 1912, 323, 25470, 4828, 267, 1215, 1677, 3503, 589, 10017, 4750, 9137, 267, 7435, 18478, 5675, 17352, 9137, 267, 31802, 1677, 6435, 11524, 30365, 19080, 267, 7043, 2006, 14288, 5675, 10022, 476, 274, 281, 24225, 338, 1677, 10749, 21584, 267, 1879, 594, 22320, 5455, 5675, 7151, 6092, 1740, 267, 5675, 13823, 2388, 21584, 9137, 267, 3733, 18776, 1306, 589, 27752, 19837, 10488, 267, 0, 288, 1453, 781, 3014, 2348, 3652, 2147, 547, 13836, 855, 5129, 609, 513, 1804, 3440, 602, 568, 18202, 4724, 1753, 30066, 3079, 540, 8486, 3481, 543, 14736, 539, 3079, 540, 10627, 1540, 15301, 29825, 994, 13563, 11595, 27562, 264, 9218, 540, 519, 2296, 5678, 267, 25004, 9990, 269, 14645, 630, 322, 264, 476, 1001, 272, 676, 670, 32080, 631, 858, 4802, 670, 2117, 22620, 14539, 7577, 269, 15618, 676, 670, 32080, 631, 858, 4802, 670, 2117, 22620, 14539, 7577, 269, 2353, 2924, 11603, 563, 8196, 834, 330, 1157, 4252, 257, 538, 513, 4845, 454, 257, 5445, 941, 2141, 519, 4050, 738, 1493, 4584, 585, 14736, 4252, 267, 799, 568, 2731, 1100, 1732, 982, 2063, 267, 543, 713, 568, 741, 2937, 3734, 5808, 779, 2319, 23071, 1631, 267, 29186, 320, 24350, 10454, 2680, 786, 8486, 2199, 4213, 1996, 1142, 824, 538, 19194, 971, 607, 14736, 4252, 267, 512, 1872, 540, 2112, 267, 543, 521, 871, 17040, 4799, 257, 302, 1276, 281, 2142, 5423, 547, 1491, 513, 5734, 538, 6689, 3756, 971, 607, 14736, 4252, 543, 546, 17690, 4252, 1701, 0, 1432, 616, 596, 18391, 585, 888, 12892, 2923, 568, 513, 4687, 3060, 602, 7140, 883, 606, 5836, 543, 25309, 23462, 267, 2792, 267, 3308, 640, 267, 1148, 543, 7376, 267, 16450, 267, 10229, 543, 1256, 6214, 269, 3962, 540, 721, 5932, 1507, 12772, 538, 602, 5836, 609, 1142, 2671, 610, 13739, 269, 2201, 1514, 2923, 267, 1142, 6749, 814, 513, 1114, 2681, 1317, 621, 12851, 547, 513, 1114, 1268, 610, 1641, 269, 1656, 1175, 899, 606, 5836, 267, 621, 3568, 6634, 540, 2729, 269, 3807, 899, 519, 6329, 18644, 519, 13272, 267, 1169, 3593, 3762, 513, 1665, 593, 1514, 2923, 269, 8729, 547, 1514, 2923, 267, 5215, 540, 5195, 616, 711, 2484, 2476, 15042, 543, 596, 666, 1265, 3054, 538, 519, 1647, 540, 513, 2518, 2792, 269, 1284, 2813, 513, 1158, 1141, 649, 666, 2661, 543, 2769, 11884, 609, 513, 2620, 4656, 269, 4317, 2923, 729, 899, 513, 1857, 3560, 602, 7620, 4547, 1514, 640, 547, 519, 5691, 1158, 269, 3973, 267, 1346, 945, 4682, 547, 519, 5691, 1158, 2760, 8120, 267, 543, 713, 3560, 5828, 883, 513, 835, 17574, 5721, 269, 901, 7613, 1558, 513, 1804, 1297, 540, 1312, 2942, 543, 2318, 23607, 543, 12496, 563, 12892, 2923, 568, 513, 3760, 1141, 6634, 540, 1004, 666, 2097, 1927, 267, 2746, 267, 13889, 267, 543, 2671, 538, 1175, 513, 1906, 7643, 269, 898, 849, 814, 513, 4183, 602, 1951, 7714, 2792, 883, 519, 3059, 1158, 269, 901, 4183, 568, 540, 1164, 2956, 543, 3929, 1871, 950, 621, 13462, 596, 543, 707, 14077, 2484, 689, 596, 269, 1717, 267, 972, 568, 513, 5386, 1899, 538, 1514, 2923, 6165, 602, 649, 3112, 5693, 1294, 269, 1403, 649, 798, 711, 5469, 713, 1899, 267, 649, 666, 3362, 6336, 6000, 543, 1413, 899, 513, 8193, 593, 1514, 2923, 269, 4595, 7301, 543, 7301, 7215, 5372, 938, 3232, 2729, 267, 649, 666, 2490, 883, 606, 11769, 602, 8850, 8843, 3232, 1919, 269, 1284, 666, 1256, 7340, 547, 1413, 693, 519, 6607, 1317, 649, 723, 922, 11191, 563, 763, 2956, 540, 2565, 2923, 971, 607, 30843, 2029, 267, 10229, 267, 9235, 543, 4123, 538, 519, 1482, 1747, 267, 519, 2956, 540, 1514, 2923, 2799, 593, 519, 8122, 543, 713, 5828, 883, 513, 1360, 1271, 4687, 3060, 269, 1403, 1031, 5265, 267, 713, 1379, 666, 1118, 6909, 2242, 543, 3604, 538, 519, 1158, 269, 1403, 519, 4220, 616, 16053, 267, 649, 949, 711, 5469, 938, 12161, 2394, 621, 779, 1932, 3735, 269, 3767, 596, 666, 30075, 891, 2188, 543, 782, 519, 7399, 538, 707, 2212, 267, 1577, 779, 2307, 596, 713, 281, 568, 1514, 2923, 1271, 286 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 606, 5140, 18364, 267, 621, 814, 519, 1761, 547, 8858, 930, 4187, 269, 21019, 267, 4154, 267, 543, 11956, 616, 1175, 513, 1906, 540, 519, 2326, 602, 666, 581, 1031, 538, 519, 2504, 540, 12904, 543, 15791, 269, 7756, 5706, 1734, 616, 3254, 676, 1142, 1570, 269, 1403, 1079, 12904, 616, 3812, 540, 519, 1482, 1570, 855, 835, 568, 23198, 982, 519, 824, 267, 519, 23198, 5911, 786, 723, 513, 2539, 4187, 7868, 4187, 540, 513, 5911, 25457, 14354, 10593, 607, 972, 568, 513, 1689, 538, 519, 2837, 610, 3259, 540, 519, 5911, 269, 634, 8006, 540, 519, 17285, 18364, 540, 513, 5911, 568, 1018, 568, 5921, 676, 4704, 547, 621, 676, 519, 2165, 968, 342, 790, 2450, 6100, 1879, 7446, 5911, 2450, 267, 621, 568, 2556, 547, 2015, 519, 5911, 15378, 267, 5911, 4390, 267, 543, 519, 3483, 540, 519, 5911, 269, 1403, 519, 5911, 568, 1932, 6094, 267, 606, 7050, 2179, 540, 1699, 786, 581, 4847, 547, 1780, 998, 621, 269, 901, 786, 2014, 519, 5911, 547, 6336, 811, 1379, 267, 6027, 538, 26334, 267, 1317, 540, 519, 2362, 4187, 621, 6799, 269, 20348, 543, 18843, 539, 12904, 616, 519, 1079, 2010, 602, 666, 581, 9286, 607, 2582, 8410, 2265, 528, 630, 10193, 1572, 2909, 3660, 264, 12904, 269, 20348, 5911, 568, 13888, 518, 982, 824, 2010, 540, 5911, 543, 814, 1732, 5122, 19428, 269, 3828, 13554, 5911, 5161, 540, 1082, 4130, 12904, 18955, 1927, 269, 5221, 18843, 539, 5911, 568, 1447, 2693, 547, 2736, 950, 16271, 547, 7368, 19755, 267, 596, 786, 3335, 1265, 713, 1826, 540, 5911, 1031, 538, 5985, 6049, 5056, 619, 269, 10814, 2026, 5941, 1354, 267, 513, 10814, 5161, 540, 513, 1895, 540, 1202, 4327, 12904, 602, 616, 20386, 1927, 538, 513, 1352, 987, 269, 769, 1034, 2665, 267, 519, 10814, 3568, 693, 2547, 835, 3905, 5911, 267, 835, 9243, 5911, 267, 543, 835, 2666, 5911, 269, 634, 3905, 5911, 568, 519, 835, 602, 11438, 519, 1699, 269, 589, 10814, 779, 12773, 568, 5462, 676, 519, 1297, 540, 12904, 621, 3568, 607, 1134, 607, 519, 2450, 543, 15378, 540, 1346, 12904, 269, 595, 1963, 616, 4857, 676, 513, 5569, 540, 3197, 267, 1287, 4553, 676, 513, 1297, 267, 513, 21686, 267, 543, 1776, 1297, 269, 634, 6835, 1683, 1344, 3823, 519, 1826, 540, 31741, 269, 634, 1101, 1297, 6920, 519, 4187, 540, 519, 12904, 3330, 519, 10814, 269, 634, 1297, 1310, 519, 21686, 6920, 519, 2698, 1297, 540, 1367, 26423, 1369, 519, 10814, 269, 1403, 717, 5526, 1310, 519, 3803, 1297, 267, 713, 6920, 602, 519, 10814, 3568, 606, 3606, 5911, 602, 1281, 711, 4163, 1699, 543, 6411, 607, 513, 2666, 269, 8028, 1379, 27871, 616, 1031, 547, 10141, 1699, 543, 6453, 689, 513, 7622, 1379, 2707, 547, 606, 5907, 3926, 267, 2356, 606, 8028, 547, 9823, 1379, 3761, 267, 538, 513, 2922, 543, 6325, 6073, 269, 26589, 519, 3382, 568, 2356, 9102, 1344, 971, 607, 18364, 2450, 543, 1297, 267, 1699, 543, 6453, 12773, 267, 2837, 12773, 267, 543, 8116, 1237, 10094, 269, 11638, 8410, 2265, 528, 10814, 568, 513, 1826, 540, 18843, 539, 5911, 602, 15320, 538, 602, 1142, 10814, 3568, 9170, 689, 1079, 547, 24239, 1367, 26423, 1369, 513, 2582, 1352, 987, 269, 10738, 519, 1352, 987, 267, 972, 949, 581, 2901, 18843, 539, 26423, 610, 4396, 26423, 10138, 1927, 538, 513, 22753, 269, 1452, 15791, 723, 513, 2647, 3099, 540, 3156, 543, 666, 581, 1031, 547, 1921, 5230, 3937, 267, 607, 1134, 607, 538, 8301, 1949, 267, 2564, 11418, 267, 543, 811, 269, 589, 26781, 10814, 5161, 540, 513, 1297, 540, 2582, 8410, 2265, 528, 12904, 4448, 1927, 538, 513, 6252, 6073, 547, 1106, 513, 26781, 269, 9603, 547, 519, 1249, 602, 519, 26423, 949, 581, 9674, 689, 519, 11746, 267, 621, 568, 849, 5219, 547, 607, 19316, 5911, 269, 5502, 540, 1373, 4988, 676, 513, 2582, 8825, 1352, 987, 899, 824, 2010, 540, 10814, 267, 519, 12904, 538, 713, 1826, 540, 10814, 616, 1202, 4327, 593, 606, 1367, 4493, 269, 2691, 1079, 610, 811, 1614, 8820, 5276, 5546, 2671, 606, 7852, 267, 602, 12122, 568, 5219, 547, 607, 30212, 269, 901, 1826, 540, 6771, 1899, 568, 5827, 540, 8876, 5122, 6786, 693, 1164, 12451, 609, 8766, 5365, 2530, 269, 3690, 2466, 1154, 10814, 7641, 6786, 267, 2870, 29577, 5769, 3060, 4296, 267, 543, 1140, 2286, 5925, 1098, 576, 1392, 547, 741, 32110, 616, 782, 1806, 540, 2009, 3096, 269, 634, 9018, 5068, 1352, 987, 267, 18955, 7601, 13104, 267, 6418, 5122, 1202, 15975, 267, 543, 3844, 7601, 18364, 1118, 909, 519, 3334, 602, 1118, 909, 519, 1071, 32681, 10814, 269, 29150, 10814, 5161, 540, 1079, 610, 811, 5122, 26423, 267, 2356, 7601, 267, 1142, 14384, 1202, 4327, 609, 513, 4494, 540, 5068, 610, 12285, 269, 5082, 29182, 267, 519, 1079, 12904, 616, 9838, 282, 1717, 267, 789, 616, 13042, 865, 602, 519, 2953, 8301, 6908, 8701, 640, 666, 581, 5462, 269, 1879, 1818, 5122, 4296, 1063, 10529, 543, 24582, 2959, 267, 10584, 10814, 568, 519, 1826, 540, 10814, 1031, 269, 15379, 3601, 666, 581, 5258, 883, 1614, 6688, 281, 4187, 267, 31887, 267, 543, 32366, 766, 269, 5221, 540, 519, 2539, 25317, 267, 811, 1379, 689, 519, 2707, 666, 1780, 998, 519, 10584, 16509, 267, 4611, 538, 513, 21514, 1457, 3280, 563, 273, 20212, 1063, 5911, 543, 10814, 454, 2171, 723, 513, 2603, 540, 5122, 12904, 543, 15791, 538, 938, 1753, 267, 855, 950, 824, 1004, 2307, 721, 827, 519, 2596, 3604, 1063, 12904, 543, 15791, 267, 649, 1419, 1205, 7138, 1194, 543, 1413, 693, 873, 607, 952, 789, 723, 513, 4625, 10145, 4082, 593, 741, 3068, 269, 898, 568, 2556, 547, 723, 930, 1620, 827, 713, 952, 596, 1616, 547, 946, 5122, 12904, 610, 15791, 3927, 865, 602, 596, 666, 1118, 5122, 4296, 538, 707, 1753, 269, 1403, 596, 798, 711, 723, 1022, 1702, 540, 602, 267, 596, 786, 1439, 909, 3478, 519, 11234, 1587, 269, 654, 2231, 543, 15791, 1404, 606, 1271, 1909, 538, 707, 3232, 6228, 269, 1358, 616, 4122, 1031, 538, 5122, 543, 10618, 3937, 269, 769, 1249, 267, 12904, 543, 15791, 3112, 581, 3379, 547, 1142, 824, 538, 1022, 1259, 269, 654, 2231, 543, 15791, 616, 4922, 1031, 538, 519, 5122, 2872, 267, 543, 741, 3119, 3483, 568, 547, 4163, 3167, 1699, 689, 835, 1747, 547, 1776, 6993, 11984, 666, 581, 1500, 1063, 12904, 543, 15791, 1547, 589, 5911, 5161, 540, 513, 2582, 18364, 267, 855, 513, 10814, 5161, 540, 1079, 610, 811, 26423, 543, 782, 519, 1367, 12904, 616, 20386, 883, 513, 2582, 18364, 269, 901, 568, 519, 2596, 11984, 1063, 5911, 543, 10814, 269, 15379, 27115, 12904, 616, 2356, 4092, 3330, 15791, 269, 634, 1297, 540, 12238, 2471, 610, 28935, 1031, 547, 2268, 519, 8006, 540, 513, 5911, 269, 1403, 519, 15378, 568, 1970, 267, 519, 5911, 786, 581, 23198, 269, 634, 476, 1015, 543, 476, 736, 15378, 616, 4998, 585, 946, 538, 1753, 3156, 269, 595, 1963, 2874, 540, 26423, 267, 799, 616, 2356, 12904, 269, 21019, 543, 11956, 616, 6093, 8407, 1031, 538, 519, 2504, 540, 5122, 12904, 1317, 540, 741, 1970, 1942, 543, 1970, 5706, 2032, 6606, 269, 654, 2231, 8428, 711, 1152, 538, 741, 1570, 543, 8006, 610, 15378, 267, 855, 849, 538, 519, 1826, 540, 13471, 543, 519, 2179, 540, 5122, 31887, 789, 4865, 269, 20305, 616, 6870, 676, 27733, 12904, 267, 799, 723, 513, 5835, 15098, 543, 1683, 513, 31026, 527, 547, 3618, 609, 1970, 4187, 689, 3457, 269, 18514, 14594, 532, 634, 3119, 13471, 2010, 540, 1367, 12904, 616, 8612, 676, 513, 3099, 540, 5022, 267, 1519, 8946, 295, 301, 267, 8946, 310, 301, 267, 8946, 310, 267, 543, 2473, 295, 295, 301, 267, 1851, 1866, 269, 634, 1739, 2817, 15379, 8943, 630, 301, 4488, 264, 4441, 616, 13890, 538, 891, 5022, 585, 707, 4704, 912, 268, 6184, 6819, 1570, 1500, 540, 5687, 31129, 454, 268, 4400, 2837, 4187, 454, 268, 4400, 3002, 4187, 630, 1575, 547, 476, 3707, 5232, 18278, 1916, 268, 654, 1107, 23850, 585, 946, 538, 6632, 5054, 454, 268, 715, 268, 3213, 908, 1500, 540, 562, 14125, 267, 11259, 547, 3282, 543, 3154, 2360, 454, 268, 2473, 568, 513, 18723, 29472, 656, 10991, 12249, 563, 2080, 568, 513, 1592, 540, 1114, 2010, 540, 5122, 5911, 602, 616, 1031, 1282, 519, 1184, 540, 2679, 513, 6216, 1007, 1753, 912, 268, 17784, 12904, 454, 268, 6301, 3049, 12904, 454, 268, 12904, 547, 3049, 519, 8440, 454, 268, 3213, 730, 28339, 1500, 540, 1875, 31475, 28351, 454, 268, 2582, 18843, 12904, 454, 13614, 902, 19992, 7756, 18514, 27413, 634, 2165, 968, 14653, 5911, 892, 4016, 547, 519, 3109, 5911, 267, 799, 568, 4122, 1336, 538, 5122, 19093, 543, 17176, 269, 634, 2165, 968, 1042, 5911, 892, 4016, 547, 519, 1482, 3364, 607, 968, 14653, 5911, 6100, 1358, 616, 1031, 607, 7953, 585, 519, 6467, 269, 769, 1840, 267, 519, 2699, 5911, 568, 1031, 547, 1921, 519, 12904, 540, 1079, 2182, 2914, 1600, 8673, 22572, 547, 1142, 824, 269, 9791, 543, 14117, 18514, 281, 634, 4544, 543, 5835, 5911, 267, 3006, 5219, 547, 607, 519, 3905, 5911, 267, 568, 1031, 585, 519, 31026, 527, 15504, 27808, 269, 634, 4544, 543, 5835, 5911, 568, 849, 1634, 607, 519, 3905, 5911, 269, 634, 4544, 5911, 568, 1031, 585, 3156, 5473, 513, 476, 274, 268, 547, 476, 275, 17574, 6467, 267, 1247, 519, 5835, 5911, 568, 1031, 585, 6467, 7953, 602, 1379, 11655, 267, 8279, 267, 3092, 269, 19669, 5911, 281, 634, 3043, 5911, 568, 519, 9243, 5911, 543, 568, 2141, 1031, 269, 5682, 543, 645, 732, 21019, 18514, 281, 5682, 543, 11953, 7601, 5911, 616, 519, 1152, 2010, 540, 5911, 602, 616, 2479, 1031, 585, 27733, 543, 27733, 269, 6786, 269, 595, 1963, 949, 4163, 5201, 543, 10618, 269, 3962, 10814, 3568, 1614, 1114, 2010, 540, 12904, 281, 519, 1101, 5911, 568, 1031, 547, 4163, 1699, 267, 519, 2034, 5911, 568, 1031, 547, 1628, 513, 6806, 8520, 267, 543, 519, 3791, 5911, 5713, 607, 513, 27733, 5911, 269, 769, 1034, 2665, 267, 519, 18364, 568, 13042, 2687, 547, 15378, 1297, 267, 5911, 1297, 267, 543, 2681, 269, 1703, 616, 1896, 1114, 19383, 2139, 267, 543, 1142, 835, 568, 5462, 676, 922, 5497, 946, 269, 634, 27296, 1058, 581, 1031, 538, 2127, 1641, 547, 4049, 7344, 2566, 543, 1683, 3152, 4027, 982, 12904, 269, 15379, 15791, 2097, 538, 1082, 1114, 4778, 267, 543, 972, 616, 849, 1896, 3982, 2010, 269, 7822, 9479, 8655, 547, 15791, 898, 568, 2009, 547, 3313, 2436, 513, 10814, 779, 13471, 568, 3742, 267, 9243, 267, 610, 16135, 1210, 513, 10814, 13471, 2681, 2275, 5317, 1062, 269, 715, 4488, 2306, 1100, 2681, 7840, 630, 13233, 15379, 8943, 1040, 898, 568, 2565, 602, 596, 616, 3222, 540, 519, 10814, 2681, 8193, 4441, 538, 1198, 538, 707, 4087, 269, 595, 762, 2681, 2275, 5317, 4441, 4268, 676, 2197, 610, 3148, 269, 3371, 568, 513, 1592, 540, 519, 1082, 2010, 540, 5122, 10814, 602, 616, 1031, 2429, 519, 1184, 540, 2679, 513, 6216, 1007, 1753, 912, 268, 1071, 32681, 10814, 454, 29715, 569, 12617, 10814, 454, 268, 21253, 1043, 10814, 454, 268, 4477, 1460, 10814, 454, 22479, 762, 540, 1352, 987, 532, 513, 1875, 31475, 28351, 1352, 987, 10814, 4988, 609, 513, 4496, 1352, 987, 454, 268, 24352, 648, 10814, 454, 268, 2404, 15791, 454, 268, 16353, 10260, 543, 26781, 10814, 454, 268, 10814, 609, 13104, 454, 306, 17532, 18843, 10814, 568, 513, 1826, 540, 11295, 10814, 563, 268, 3828, 514, 543, 2666, 10814, 1210, 519, 3828, 514, 1314, 3898, 454, 310, 2231, 543, 15791, 616, 1031, 538, 10821, 267, 5010, 267, 543, 4853, 5054, 267, 607, 1134, 607, 585, 1239, 543, 10618, 5301, 269, 634, 4496, 3743, 585, 519, 5911, 779, 2702, 547, 4163, 5201, 568, 519, 3119, 5057, 540, 519, 5122, 5911, 269, 3371, 568, 513, 1592, 540, 1896, 8407, 602, 616, 1419, 1031, 538, 519, 2504, 540, 5122, 12904, 543, 15791, 281, 7167, 20081, 514, 1325, 26891, 7108, 21019, 18234, 634, 2474, 5911, 543, 10814, 616, 1031, 7361, 30430, 267, 855, 538, 4641, 267, 789, 616, 1360, 1114, 689, 1142, 824, 269, 2290, 1259, 547, 2995, 519, 3017, 1063, 519, 1079, 568, 547, 1832, 538, 2247, 602, 15791, 616, 1500, 909, 540, 12904, 269, 769, 1840, 267, 12904, 723, 513, 2647, 2039, 540, 3156, 269, 589, 2582, 18843, 610, 1895, 540, 22204, 1500, 540, 606, 30788, 25801, 1570, 267, 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 ]
[ 543, 8700, 616, 519, 1292, 6724, 547, 2015, 538, 2806, 20782, 543, 5794, 7233, 1344, 269, 2806, 20782, 4463, 568, 3502, 12232, 543, 8700, 568, 3502, 12232, 269, 24641, 267, 5794, 7233, 4463, 568, 3502, 12232, 543, 8700, 568, 3502, 12232, 454, 3080, 666, 1451, 811, 827, 2806, 20782, 543, 5794, 7233, 12700, 267, 799, 2882, 2806, 20782, 543, 5794, 7233, 3337, 269, 634, 3337, 540, 513, 2030, 12211, 547, 519, 3337, 540, 922, 6978, 267, 3337, 540, 922, 4829, 610, 519, 8768, 3337, 269, 23516, 5546, 666, 581, 540, 1082, 5686, 267, 1073, 21754, 622, 267, 5276, 267, 24814, 267, 8608, 8032, 267, 3092, 269, 23516, 3337, 540, 2806, 20782, 568, 29191, 622, 543, 6978, 3337, 540, 5794, 7233, 568, 10261, 548, 899, 563, 1320, 27163, 616, 10416, 2182, 3889, 799, 519, 2030, 1502, 525, 538, 1931, 547, 15658, 2831, 689, 4189, 2030, 1570, 269, 1358, 616, 849, 1572, 607, 838, 1149, 269, 3502, 782, 519, 2371, 723, 5247, 985, 282, 930, 2371, 723, 5247, 985, 543, 930, 1810, 1406, 269, 4935, 2806, 20782, 543, 5794, 7233, 18897, 985, 568, 606, 1271, 2460, 269, 2806, 20782, 1281, 711, 723, 5247, 985, 543, 5794, 7233, 1281, 711, 723, 5247, 985, 563, 15100, 476, 1001, 276, 268, 1708, 273, 269, 589, 2571, 5825, 341, 16695, 14679, 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 ]
[ 519, 2295, 540, 12666, 6575, 2069, 1318, 689, 10367, 547, 6965, 543, 865, 593, 563, 1892, 6435, 547, 9260, 2963, 16002, 1227, 281, 1452, 6030, 666, 4217, 1053, 547, 9260, 2963, 538, 513, 26617, 6073, 543, 849, 2015, 3875, 5011, 540, 1142, 2243, 563, 1892, 20780, 532, 9355, 543, 6111, 547, 519, 2104, 281, 14936, 24956, 545, 19375, 12253, 338, 14948, 2073, 23408, 6030, 4217, 1053, 1174, 519, 2250, 543, 693, 519, 1482, 942, 7747, 513, 20501, 3239, 540, 519, 2104, 269, 4279, 652, 1383, 568, 3778, 1576, 563, 6624, 5177, 1053, 616, 8572, 547, 8275, 930, 1448, 610, 519, 824, 7150, 1657, 543, 616, 8572, 547, 1445, 593, 741, 23408, 6030, 5265, 269, 6270, 1053, 4043, 547, 3068, 2042, 609, 741, 23408, 10467, 538, 519, 1644, 1576, 269, 5502, 540, 31361, 1154, 267, 971, 1053, 666, 1992, 23408, 7084, 948, 2533, 267, 23295, 689, 1134, 8153, 12478, 269, 0, 25075, 728, 2963, 585, 3248, 10454, 1973, 1449, 4951, 602, 646, 729, 519, 4651, 4840, 257, 15463, 2623, 1449, 1881, 547, 1200, 22424, 564, 775, 4840, 326, 633, 21981, 538, 513, 5480, 540, 1876, 454, 268, 634, 8900, 7484, 4580, 729, 513, 7198, 540, 1010, 6710, 563, 268, 594, 993, 2386, 646, 786, 7703, 803, 856, 538, 1018, 594, 723, 1767, 563, 268, 1261, 729, 2040, 3000, 539, 547, 2408, 538, 5480, 607, 513, 7198, 563, 268, 1261, 2220, 648, 621, 593, 519, 7198, 1796, 269, 0, 26469, 631, 2033, 1998, 272, 24682, 8176, 589, 269, 15243, 344, 273, 267, 15579, 523, 661, 269, 20831, 274, 267, 7338, 918, 269, 17793, 10045, 275, 454, 30399, 267, 519, 588, 698, 1817, 333, 14147, 3600, 549, 1602, 320, 14677, 545, 1941, 529, 729, 513, 8789, 5748, 2249, 602, 3177, 1454, 540, 519, 24821, 13920, 543, 7293, 6988, 593, 12144, 14147, 18625, 269, 1717, 267, 519, 11606, 540, 588, 698, 1817, 333, 27712, 814, 17379, 15186, 2429, 519, 12144, 267, 609, 930, 2127, 9561, 811, 982, 476, 9032, 260, 540, 3140, 3382, 936, 519, 2250, 2947, 5756, 269, 634, 2702, 547, 3927, 543, 7561, 4336, 4238, 547, 11177, 2250, 9271, 543, 1832, 10605, 609, 11173, 23229, 3788, 513, 1883, 4161, 269, 1280, 1383, 267, 1082, 3646, 2308, 31668, 968, 339, 4181, 892, 18611, 538, 5266, 13719, 1216, 282, 2705, 267, 2487, 2164, 689, 17896, 22656, 8612, 602, 513, 7299, 7406, 18611, 538, 4514, 1216, 1223, 6556, 2362, 2208, 3928, 543, 4389, 5826, 3379, 547, 4540, 2853, 563, 11693, 519, 791, 28127, 547, 4336, 909, 2504, 547, 32433, 3908, 2067, 6051, 267, 9946, 543, 3173, 1058, 2015, 875, 519, 1374, 543, 4087, 540, 519, 5740, 7685, 1860, 519, 2208, 540, 1114, 1024, 8040, 540, 27712, 543, 519, 4674, 2838, 585, 5826, 269, 1677, 30881, 971, 7506, 267, 649, 8057, 15998, 540, 1114, 1024, 8040, 630, 276, 8677, 264, 593, 18312, 3889, 630, 339, 4181, 543, 14604, 264, 693, 1079, 17909, 630, 277, 1700, 279, 544, 543, 476, 1626, 1700, 1240, 544, 1040, 11192, 5276, 24909, 267, 13250, 540, 6915, 325, 537, 1782, 267, 543, 7738, 942, 941, 6027, 936, 476, 2735, 546, 547, 2708, 519, 2208, 540, 15998, 543, 519, 4674, 2838, 547, 2226, 5740, 7685, 563, 2171, 1336, 3648, 2362, 1611, 3232, 31278, 2208, 3928, 585, 15998, 540, 519, 5835, 29294, 630, 2190, 260, 2362, 982, 519, 1985, 16595, 21212, 29294, 543, 476, 10619, 260, 2362, 982, 519, 3500, 652, 3395, 29294, 1070, 15998, 4371, 693, 519, 2620, 3135, 630, 3607, 260, 2362, 982, 15998, 4371, 693, 519, 13719, 3135, 1070, 543, 15998, 4371, 593, 14604, 630, 1724, 260, 2362, 982, 15998, 593, 4054, 1040, 1403, 5276, 2208, 4797, 267, 519, 6059, 1611, 5993, 2208, 585, 513, 23650, 540, 519, 16595, 21212, 29294, 4371, 593, 513, 7406, 538, 4514, 1216, 1131, 581, 476, 6434, 4699, 586, 268, 272, 267, 799, 729, 936, 476, 273, 343, 5488, 2208, 2557, 982, 513, 23650, 540, 519, 3500, 652, 3395, 29294, 4371, 593, 513, 3529, 538, 13719, 1216, 269, 18323, 1239, 6700, 602, 5740, 7685, 693, 519, 13719, 3135, 941, 6534, 547, 5732, 17173, 4262, 2627, 5210, 1282, 15911, 3275, 267, 799, 17047, 609, 513, 476, 274, 269, 276, 9943, 2362, 2557, 540, 13250, 540, 3473, 531, 13947, 693, 519, 13719, 3135, 269, 1403, 5276, 2208, 4797, 267, 519, 6059, 1611, 5993, 2208, 585, 513, 23650, 540, 519, 16595, 21212, 29294, 4371, 593, 513, 7406, 538, 4514, 1216, 1131, 581, 476, 6434, 4699, 586, 268, 272, 267, 799, 729, 936, 476, 273, 9943, 5488, 2208, 2557, 982, 513, 23650, 540, 519, 3500, 652, 3395, 29294, 4371, 593, 513, 3529, 538, 13719, 1216, 269, 11814, 1947, 267, 519, 2164, 7152, 602, 4824, 2504, 543, 4389, 5826, 666, 1267, 689, 6236, 519, 29294, 540, 15998, 547, 581, 31796, 543, 519, 1374, 543, 4087, 540, 5740, 7685, 547, 1489, 519, 11808, 540, 14147, 18625, 563, 272, 3427, 540, 7849, 8249, 543, 5113, 267, 2160, 540, 8419, 267, 28150, 525, 6807, 267, 18919, 267, 7330, 563, 273, 14606, 543, 4826, 7070, 4972, 267, 2160, 540, 8419, 267, 28150, 525, 6807, 267, 18919, 267, 7330, 563, 274, 7186, 11076, 18143, 13749, 267, 4659, 540, 5253, 543, 11982, 7070, 267, 2160, 540, 8419, 267, 595, 25729, 6206, 267, 18919, 267, 7330, 454, 275, 5441, 540, 13149, 3163, 267, 2160, 540, 3162, 8419, 267, 853, 269, 22642, 7921, 267, 18919, 7330, 269, 0, 31572, 2657, 543, 8881, 538, 519, 31071, 910, 10395, 1441, 454, 10666, 713, 1576, 912, 4504, 18166, 513, 4625, 1007, 1935, 547, 1072, 543, 3106, 2866, 563, 1892, 589, 1614, 6377, 1576, 8720, 519, 1072, 543, 3106, 2359, 9238, 5356, 538, 513, 1164, 1764, 7317, 10872, 454, 1892, 8111, 321, 2298, 19347, 12449, 2813, 14311, 585, 519, 1576, 454, 1892, 589, 10427, 855, 1187, 6881, 454, 1892, 3689, 11665, 2930, 1543, 267, 1759, 593, 1018, 30896, 991, 547, 917, 538, 2259, 454, 1892, 3143, 3822, 610, 1055, 268, 1584, 1154, 3656, 1893, 454, 1892, 13068, 7653, 602, 9946, 666, 9305, 547, 454, 3963, 621, 1568, 912, 2791, 786, 1451, 1018, 596, 991, 547, 917, 538, 513, 24253, 569, 13016, 1259, 269, 19737, 9108, 4465, 1406, 2490, 30896, 883, 3106, 4966, 1107, 855, 621, 786, 2285, 873, 519, 1702, 543, 2645, 547, 10994, 519, 1072, 543, 3106, 2152, 789, 2461, 3743, 585, 563, 17387, 14688, 267, 621, 6770, 1753, 1175, 1946, 1072, 543, 3106, 568, 971, 606, 1898, 851, 540, 741, 2816, 269, 21988, 30896, 616, 13752, 606, 594, 5308, 295, 5883, 9108, 15149, 602, 568, 25422, 18931, 543, 568, 513, 15197, 15149, 540, 2866, 563, 1432, 519, 1576, 786, 3382, 912, 268, 28038, 5883, 9108, 1107, 2368, 9946, 949, 1294, 1072, 543, 3106, 607, 606, 1039, 6823, 547, 741, 1909, 1107, 1256, 606, 31593, 269, 634, 1101, 9074, 2306, 621, 2312, 602, 9946, 616, 18177, 585, 741, 6887, 267, 543, 2306, 513, 10388, 2013, 585, 5883, 9108, 563, 268, 30487, 4220, 1107, 901, 9074, 11225, 543, 1629, 22438, 5809, 2048, 14490, 685, 543, 2048, 14490, 4879, 9957, 11485, 10526, 543, 513, 2241, 18176, 1062, 616, 5189, 267, 543, 30896, 4163, 856, 513, 3126, 540, 10526, 563, 268, 2552, 13764, 4220, 1107, 3371, 519, 8400, 8214, 956, 5969, 4220, 1524, 267, 23622, 593, 519, 1655, 2553, 547, 1852, 1883, 4220, 267, 543, 875, 547, 3442, 519, 1318, 1505, 563, 268, 4197, 707, 9021, 1107, 901, 9074, 5654, 693, 519, 7569, 540, 519, 1876, 543, 875, 519, 3656, 1062, 1568, 267, 543, 12857, 513, 1072, 543, 3106, 2359, 1062, 563, 268, 17291, 10898, 1107, 2353, 519, 1292, 2152, 1022, 5106, 814, 547, 4308, 609, 616, 4988, 538, 713, 9074, 1107, 1303, 27509, 543, 608, 1080, 267, 960, 6808, 267, 3595, 267, 6464, 267, 5201, 267, 2168, 543, 11913, 6057, 267, 11648, 267, 2566, 267, 6846, 267, 2777, 15209, 543, 519, 2324, 1604, 267, 1793, 2354, 267, 15143, 543, 8813, 267, 2324, 693, 4463, 267, 5904, 543, 8261, 7829, 454, 268, 15766, 908, 10913, 543, 13685, 1107, 634, 8400, 6238, 609, 1946, 10913, 1058, 581, 11567, 543, 4422, 593, 547, 3382, 1946, 1919, 979, 4636, 267, 543, 875, 547, 4163, 856, 606, 7634, 950, 789, 798, 563, 268, 25732, 2773, 1107, 901, 9074, 6941, 875, 10992, 2773, 666, 948, 547, 2087, 1072, 543, 3106, 269, 1546, 5586, 919, 1451, 875, 547, 1020, 2596, 2773, 10832, 267, 543, 1205, 547, 17680, 1186, 609, 2912, 1746, 543, 14942, 543, 19535, 7893, 563, 2467, 568, 513, 476, 3393, 18826, 1449, 693, 519, 1439, 540, 519, 1576, 16030, 476, 1789, 2789, 3903, 2055, 543, 513, 9036, 1072, 543, 3106, 1981, 4879, 563, 8005, 568, 713, 1576, 585, 888, 31572, 9108, 568, 585, 9946, 267, 19217, 832, 543, 2043, 945, 616, 15747, 538, 5883, 543, 7598, 1072, 543, 3106, 3800, 538, 519, 9036, 269, 898, 568, 2966, 547, 1205, 30896, 909, 547, 3432, 593, 519, 4052, 3527, 789, 991, 547, 1491, 547, 6023, 1072, 543, 3106, 538, 741, 9036, 563, 763, 5916, 2228, 543, 4928, 2861, 1576, 1942, 568, 11278, 25851, 829, 15518, 622, 563, 763, 5916, 2228, 543, 4928, 2861, 1576, 609, 24665, 622, 9886, 1942, 568, 11278, 27844, 829, 15518, 622, 269, 0, 24246, 10466, 1849, 5847, 910, 4208, 898, 781, 12830, 454, 763, 2856, 3297, 4444, 4027, 7802, 568, 547, 10110, 543, 26632, 622, 5739, 13590, 12451, 630, 4932, 22661, 264, 602, 2097, 689, 1585, 2959, 269, 4107, 4122, 267, 891, 2959, 1331, 1591, 11436, 267, 5904, 267, 1379, 3515, 267, 10260, 1652, 11436, 267, 18342, 267, 543, 8613, 5036, 269, 2368, 540, 519, 5739, 12451, 1331, 1346, 2404, 609, 2518, 8337, 543, 1591, 6049, 20610, 269, 4014, 596, 949, 711, 3494, 621, 267, 972, 568, 513, 2178, 3095, 1063, 519, 1072, 540, 707, 1560, 543, 519, 2298, 540, 707, 10408, 6049, 5365, 563, 2467, 616, 1082, 2010, 540, 8825, 7802, 585, 713, 3483, 267, 1519, 695, 16630, 267, 27890, 267, 13544, 1115, 267, 26852, 267, 13544, 1115, 267, 1560, 17015, 267, 543, 1560, 24302, 687, 269, 26023, 267, 519, 1292, 2601, 585, 9849, 1022, 540, 713, 10591, 568, 547, 10110, 519, 5739, 12451, 602, 2097, 609, 5122, 2959, 269, 901, 568, 519, 1482, 2601, 1946, 8825, 8720, 568, 12816, 676, 7669, 11302, 538, 1216, 269, 898, 781, 2556, 585, 873, 547, 5957, 1216, 11259, 4703, 17015, 547, 7413, 519, 2360, 540, 1216, 1247, 10977, 269, 6684, 267, 2149, 832, 585, 519, 2212, 616, 12816, 538, 1931, 547, 13104, 519, 2634, 689, 519, 5739, 12451, 540, 1591, 11436, 543, 5904, 269, 1403, 596, 991, 547, 6718, 15444, 293, 8825, 7802, 267, 979, 547, 3896, 563, 24246, 4027, 7802, 538, 519, 1106, 540, 512, 6879, 16630, 267, 1279, 19492, 1407, 267, 1279, 27890, 267, 610, 13544, 1115, 269, 13575, 267, 512, 6879, 16630, 616, 519, 10464, 652, 4781, 855, 621, 781, 909, 547, 596, 547, 6430, 1018, 4990, 540, 4027, 596, 1616, 269, 10705, 512, 6879, 16630, 616, 1500, 540, 1769, 23469, 10412, 1317, 540, 519, 1249, 602, 621, 666, 10110, 13590, 6329, 269, 1280, 3236, 267, 513, 512, 6879, 7398, 1500, 689, 513, 1769, 23469, 10412, 666, 2569, 519, 15444, 293, 19367, 19501, 676, 513, 1591, 6049, 13486, 269, 17968, 267, 596, 1223, 3442, 513, 14402, 11954, 512, 6879, 7398, 602, 1281, 711, 10110, 543, 771, 704, 572, 15444, 22661, 563, 2252, 596, 2811, 711, 6899, 538, 9140, 513, 512, 6879, 7398, 267, 1287, 2015, 9140, 8825, 7802, 538, 519, 1106, 540, 513, 6292, 540, 533, 1690, 24252, 267, 1279, 19492, 557, 25099, 267, 610, 1279, 27890, 269, 1452, 616, 782, 7802, 3688, 602, 596, 666, 5957, 1169, 1554, 269, 2368, 949, 2161, 602, 789, 616, 711, 607, 6899, 607, 513, 512, 6879, 7398, 855, 789, 1683, 519, 1482, 2640, 267, 1775, 4318, 269, 4027, 689, 519, 5739, 12451, 19501, 676, 1591, 11436, 543, 5904, 563, 2690, 1004, 945, 616, 3168, 585, 1945, 811, 31042, 982, 9660, 267, 596, 666, 4444, 513, 512, 6879, 7398, 609, 707, 2754, 20446, 610, 3090, 593, 621, 269, 3807, 1118, 2386, 596, 4444, 519, 1655, 4027, 7802, 602, 596, 666, 6488, 269, 769, 1840, 547, 3246, 4027, 267, 707, 512, 6879, 7398, 1058, 849, 581, 1360, 6899, 269, 2368, 512, 6879, 7398, 6272, 616, 2966, 538, 513, 1259, 602, 789, 2097, 538, 2034, 1655, 2899, 621, 2501, 547, 4313, 269, 1809, 596, 1810, 1405, 723, 547, 7017, 585, 602, 267, 1317, 972, 616, 930, 6272, 856, 972, 602, 2097, 538, 1101, 1362, 782, 519, 1259, 256, 6423, 713, 3896, 585, 513, 1863, 3732, 593, 15444, 293, 7802, 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 ]
[ 799, 10659, 540, 7403, 1223, 1611, 8373, 256, 1879, 1945, 4667, 1055, 267, 6148, 1317, 540, 1932, 1454, 1689, 538, 2837, 610, 8966, 15088, 538, 2604, 267, 519, 2203, 12651, 606, 15372, 9206, 3101, 1761, 2152, 780, 3719, 7227, 267, 1946, 3247, 693, 2241, 32302, 286, 2913, 781, 1491, 621, 835, 1900, 2417, 256, 2060, 811, 2259, 543, 5386, 2389, 12941, 267, 938, 3642, 3659, 3587, 5827, 540, 17782, 4010, 18040, 16730, 519, 13451, 1522, 581, 15720, 269, 1215, 3579, 568, 602, 286, 898, 1131, 4688, 13907, 540, 942, 543, 4674, 3379, 547, 16924, 10478, 998, 782, 602, 21818, 28618, 2439, 2791, 949, 4898, 267, 968, 4692, 594, 4001, 1250, 1378, 3642, 14609, 344, 9495, 2755, 519, 1184, 3340, 1808, 2645, 543, 2553, 267, 3206, 21176, 543, 6998, 2055, 616, 1390, 4358, 2798, 585, 4896, 5461, 538, 11362, 4514, 883, 713, 4241, 2361, 269, 9320, 14693, 9358, 1223, 1831, 513, 22082, 538, 3384, 15931, 3435, 547, 1483, 8996, 2591, 2439, 1103, 5758, 267, 5841, 4987, 4249, 513, 2629, 1909, 538, 6061, 1082, 2413, 13655, 267, 1519, 7114, 6456, 20984, 538, 1950, 1949, 269, 30839, 6191, 3407, 1239, 2636, 873, 547, 1174, 3270, 543, 2709, 5363, 4030, 269, 1924, 1985, 942, 596, 5873, 2576, 6158, 827, 3642, 267, 3314, 602, 3297, 1346, 1614, 5022, 6013, 11995, 7399, 585, 5647, 267, 5876, 267, 543, 1966, 9010, 1107, 1175, 899, 1373, 513, 1283, 27677, 577, 19792, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 4263, 10046, 8063, 267, 649, 616, 19713, 3642, 543, 3684, 1565, 585, 4359, 18180, 13451, 7020, 269, 3776, 5692, 568, 547, 1020, 5499, 3435, 585, 4101, 2042, 538, 519, 7020, 540, 20984, 538, 1950, 12862, 543, 1949, 269, 1284, 9192, 5969, 12967, 2029, 609, 4052, 3156, 267, 17935, 547, 1118, 513, 1713, 1764, 538, 519, 2872, 563, 2171, 616, 3168, 585, 606, 14464, 11106, 23910, 610, 4578, 26831, 547, 6443, 938, 2319, 267, 2519, 593, 14178, 938, 3684, 1565, 12454, 3435, 538, 519, 7706, 540, 12985, 13451, 7020, 269, 634, 4998, 11134, 786, 581, 513, 1883, 23784, 547, 938, 2319, 543, 3919, 267, 8506, 513, 2189, 11100, 540, 1983, 538, 3684, 1565, 267, 3621, 7384, 267, 543, 6323, 26455, 9781, 563, 268, 21302, 942, 3126, 9300, 1239, 547, 3986, 938, 3684, 1565, 3631, 585, 13451, 7020, 538, 1950, 12862, 543, 5468, 563, 268, 22676, 720, 2487, 8441, 538, 10724, 4804, 543, 14464, 11106, 547, 1628, 5499, 1949, 585, 8476, 7020, 540, 20984, 538, 1950, 12862, 563, 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, 4495, 2390, 513, 942, 538, 513, 6505, 267, 10477, 4928, 3957, 834, 305, 664, 11312, 3427, 2437, 972, 5030, 1082, 1114, 2831, 945, 941, 782, 11235, 547, 1451, 269, 1703, 729, 15207, 32202, 18857, 267, 22123, 1530, 531, 267, 18581, 19643, 12187, 267, 543, 918, 5942, 25391, 8403, 269, 3962, 835, 1185, 741, 1378, 2027, 1259, 540, 1565, 1007, 1919, 2439, 20755, 3240, 17329, 6947, 547, 1279, 2984, 543, 2921, 1010, 942, 1620, 1142, 1469, 269, 1261, 6068, 6217, 1169, 2262, 543, 24617, 4393, 1018, 646, 4121, 269, 2201, 519, 824, 1688, 267, 22123, 2877, 6266, 540, 3350, 1247, 1352, 12842, 1344, 269, 2701, 7948, 1405, 1694, 1869, 585, 1932, 1279, 1510, 4743, 1964, 1652, 256, 11531, 267, 18581, 865, 1563, 1472, 519, 4055, 267, 1166, 32211, 2282, 4376, 3308, 610, 7499, 267, 607, 646, 1336, 5898, 538, 4778, 543, 5546, 269, 1656, 1287, 972, 729, 918, 5942, 267, 945, 10150, 6061, 13410, 543, 23115, 856, 875, 1919, 5249, 780, 3080, 1554, 267, 15516, 269, 29216, 26449, 10356, 1200, 1053, 1927, 543, 1767, 267, 834, 12218, 10863, 267, 649, 991, 547, 960, 1927, 547, 1628, 513, 9735, 4677, 585, 938, 1153, 10590, 15526, 1750, 1229, 31113, 267, 8049, 827, 1018, 789, 1223, 798, 269, 2334, 781, 950, 15516, 269, 29216, 26449, 5189, 1585, 2238, 3358, 547, 1142, 3662, 781, 2189, 1565, 2511, 1384, 265, 1280, 1505, 673, 15207, 267, 1352, 5423, 2835, 4904, 609, 5961, 543, 11673, 827, 2030, 1416, 563, 265, 2037, 1120, 2045, 22123, 5280, 2445, 5452, 267, 2007, 9475, 267, 543, 1216, 2371, 2429, 519, 4677, 563, 265, 3203, 2065, 18581, 2813, 4190, 4191, 1500, 540, 11954, 1957, 543, 5862, 547, 1665, 1142, 3296, 540, 519, 4677, 563, 265, 30551, 918, 5942, 1031, 2645, 543, 2326, 547, 4020, 6946, 3889, 585, 16246, 30676, 543, 16304, 30504, 780, 2026, 789, 4797, 2324, 2427, 676, 2427, 267, 1945, 9589, 5949, 910, 3025, 3323, 1565, 689, 1142, 824, 256, 1879, 15207, 3838, 4241, 5013, 689, 1010, 12202, 2835, 267, 22123, 19557, 32348, 3079, 540, 535, 573, 1326, 532, 269, 19452, 267, 2616, 656, 18581, 11329, 856, 3270, 1851, 28480, 5810, 799, 19832, 1312, 15207, 543, 918, 5942, 269, 4634, 9602, 918, 5942, 14281, 9887, 607, 1352, 18390, 6045, 1200, 13144, 547, 519, 2898, 1895, 2439, 16039, 269, 29216, 26449, 20493, 27145, 267, 711, 6005, 875, 1134, 1200, 1053, 32524, 5103, 741, 3604, 269, 1717, 267, 30122, 267, 513, 18979, 7088, 5734, 14175, 11312, 3427, 1282, 519, 3781, 267, 14124, 1454, 540, 1018, 789, 1185, 3710, 1862, 1809, 2864, 982, 1373, 771, 24711, 2989, 267, 519, 14388, 7068, 7691, 602, 5821, 729, 851, 540, 2208, 543, 5647, 269, 1358, 6785, 789, 1131, 25580, 6793, 543, 21273, 1927, 269, 2991, 782, 267, 1256, 1498, 2591, 949, 8451, 267, 789, 4362, 602, 8508, 4763, 5012, 547, 6909, 10781, 256, 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, 18658, 616, 930, 1655, 2853, 585, 8888, 8537, 3872, 5054, 602, 13918, 513, 3309, 2039, 540, 1565, 6163, 543, 5759, 888, 272, 269, 25506, 543, 2463, 1367, 3604, 281, 5272, 2875, 814, 2189, 1565, 6163, 543, 5759, 282, 4061, 267, 621, 568, 1898, 547, 5431, 543, 2463, 741, 3604, 269, 11334, 1058, 581, 3222, 540, 1565, 7375, 267, 2789, 4111, 1878, 267, 543, 2686, 10080, 547, 1711, 606, 8537, 3872, 1604, 780, 273, 269, 8073, 513, 15474, 4804, 5113, 281, 1323, 7175, 1604, 568, 1141, 1053, 666, 1745, 9308, 267, 14156, 267, 543, 2618, 10999, 2922, 267, 9415, 543, 6462, 538, 741, 1565, 3460, 269, 26787, 513, 2318, 1565, 1604, 3322, 4259, 2666, 3652, 267, 9781, 519, 2623, 596, 2503, 267, 3246, 3255, 585, 1362, 270, 16766, 3375, 6194, 267, 543, 5356, 5955, 593, 1053, 262, 3356, 780, 274, 269, 19308, 3818, 16162, 9918, 3450, 2409, 281, 11559, 519, 946, 540, 3742, 267, 3946, 6823, 1565, 2994, 899, 1507, 9232, 692, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 563, 268, 16992, 543, 5188, 281, 1711, 12300, 3197, 945, 4497, 538, 6209, 7391, 267, 4543, 547, 2491, 543, 2263, 519, 2257, 2035, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 269, 0, 769, 4081, 1603, 267, 621, 568, 1898, 547, 5265, 13712, 2959, 547, 2285, 5491, 547, 519, 3312, 4589, 543, 547, 1450, 3988, 547, 12398, 543, 1569, 519, 2959, 2933, 269, 2290, 1455, 1259, 547, 13712, 2959, 568, 998, 519, 946, 540, 14391, 566, 6698, 1369, 2385, 16375, 14327, 269, 901, 1505, 2636, 5830, 547, 1683, 5618, 4967, 827, 519, 2707, 2059, 609, 519, 11239, 1344, 269, 769, 713, 1576, 1770, 267, 649, 786, 2263, 519, 1523, 540, 14391, 566, 6698, 543, 741, 6165, 538, 3656, 14172, 543, 1382, 780, 2304, 2254, 566, 6698, 616, 2027, 3197, 602, 616, 1031, 1369, 2385, 16375, 14327, 547, 5815, 1808, 2010, 540, 1344, 827, 519, 11855, 2707, 269, 1452, 6698, 666, 581, 1031, 547, 20301, 1585, 3344, 540, 519, 2707, 267, 971, 607, 922, 2278, 267, 2140, 267, 8313, 4266, 267, 610, 2985, 2338, 269, 1635, 1210, 891, 6698, 9846, 267, 5830, 666, 1118, 741, 14327, 811, 13181, 543, 4443, 547, 1174, 780, 3080, 4122, 1031, 1305, 540, 14391, 566, 6698, 568, 519, 9791, 1504, 1062, 267, 799, 568, 4922, 7550, 676, 1876, 8039, 543, 13746, 538, 519, 2136, 2276, 269, 634, 9791, 1504, 2488, 513, 13387, 3898, 585, 19696, 3656, 8128, 267, 1519, 2665, 267, 29071, 267, 6042, 267, 543, 6281, 2959, 269, 10738, 519, 9791, 1504, 1062, 267, 14391, 566, 6698, 616, 1031, 547, 1683, 3606, 3877, 827, 519, 11855, 2707, 3564, 1018, 568, 3769, 538, 519, 2596, 11239, 269, 1280, 1383, 267, 14391, 566, 6698, 949, 581, 1031, 547, 5815, 2436, 513, 2013, 814, 1044, 936, 337, 27968, 610, 9168, 267, 610, 547, 4063, 1022, 7766, 1686, 540, 519, 2013, 780, 2414, 9414, 875, 14391, 566, 6698, 960, 538, 2259, 267, 1577, 781, 2015, 606, 1383, 11239, 1210, 519, 9791, 1504, 1062, 1384, 29834, 642, 269, 13643, 267, 476, 11277, 674, 269, 274, 323, 476, 27174, 267, 476, 29121, 630, 280, 628, 19449, 269, 476, 1220, 272, 264, 630, 29171, 1380, 532, 519, 2609, 540, 32226, 6393, 1103, 713, 11239, 267, 519, 14391, 566, 3090, 834, 263, 29171, 1380, 532, 1862, 17983, 6920, 602, 519, 1739, 1257, 3568, 513, 5758, 610, 7778, 540, 519, 9115, 540, 519, 2707, 269, 901, 1826, 540, 14391, 566, 568, 1419, 1031, 547, 948, 3988, 3533, 2697, 519, 10083, 540, 519, 11855, 2707, 547, 519, 4901, 693, 1688, 269, 4033, 1455, 14391, 566, 6698, 538, 519, 9791, 1504, 1062, 1331, 834, 263, 1478, 337, 27968, 264, 2580, 834, 263, 7116, 1881, 264, 2580, 543, 834, 263, 341, 659, 730, 264, 6231, 2005, 568, 1271, 547, 4063, 602, 519, 946, 540, 14391, 566, 6698, 568, 711, 3908, 547, 3656, 14172, 269, 3509, 10459, 3544, 540, 1876, 849, 1118, 946, 540, 2147, 14908, 547, 1683, 3606, 2796, 543, 1344, 827, 11855, 2959, 269, 1717, 267, 519, 1808, 14391, 566, 6698, 543, 11249, 3652, 949, 4268, 4470, 593, 519, 9015, 543, 519, 9053, 11239, 2511, 780, 5194, 1271, 2460, 540, 14391, 908, 2959, 568, 4180, 6111, 543, 11007, 538, 519, 946, 540, 11239, 12043, 269, 13751, 5640, 1590, 2628, 1880, 3007, 547, 713, 3390, 1813, 547, 519, 6988, 543, 3099, 540, 3656, 2326, 1373, 11855, 269, 1677, 3895, 7833, 640, 543, 9355, 267, 1082, 1876, 8039, 543, 13746, 723, 3964, 2777, 6163, 602, 14574, 519, 3169, 3898, 543, 18685, 547, 581, 1031, 538, 14327, 269, 1520, 17518, 547, 891, 4441, 2337, 2327, 602, 14327, 616, 2312, 267, 13801, 267, 543, 2653, 547, 1246, 780, 11101, 267, 14391, 725, 666, 4196, 607, 3407, 2645, 585, 3173, 5275, 547, 6218, 519, 17258, 543, 10083, 540, 2959, 269, 1635, 3246, 24096, 610, 32461, 540, 1883, 2798, 267, 14391, 725, 666, 948, 3988, 3533, 2708, 519, 28252, 540, 513, 2016, 2707, 1510, 2348, 547, 1224, 519, 3003, 3561, 269, 3958, 267, 14391, 725, 666, 5031, 2127, 540, 24895, 610, 15784, 1851, 1114, 2959, 267, 4543, 3988, 547, 1732, 1174, 519, 6626, 9840, 543, 5380, 4478, 513, 1880, 3390, 780, 1103, 3932, 267, 14391, 566, 6698, 1404, 513, 2629, 1909, 538, 3656, 14172, 543, 1382, 676, 7175, 5830, 547, 1683, 3606, 2796, 543, 1344, 827, 11855, 2959, 269, 3414, 5812, 946, 540, 891, 6698, 267, 5830, 666, 1711, 811, 13181, 543, 4977, 14327, 602, 3986, 519, 2949, 2298, 543, 7145, 540, 741, 7440, 269, 1306, 2029, 5170, 547, 11457, 543, 3337, 519, 2081, 538, 799, 649, 2932, 1382, 543, 2671, 1702, 267, 621, 568, 2693, 602, 14391, 566, 1949, 786, 3136, 547, 3082, 543, 4228, 547, 2743, 519, 4657, 2115, 540, 5640, 543, 9439, 7567, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 29155, 18403, 281, 2160, 540, 4993, 4964, 269, 8373, 543, 519, 1858, 540, 5067, 538, 606, 1007, 4143, 20552, 281, 2589, 585, 2013, 269, 4049, 2347, 23999 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3776, 5092, 538, 519, 3059, 14440, 4769, 1405, 1175, 8141, 513, 1007, 2648, 585, 2575, 282, 621, 2813, 4190, 8823, 543, 22541, 7554, 1851, 721, 269, 1656, 3884, 1405, 602, 1018, 2306, 1169, 29784, 4502, 7836, 286, 1924, 1934, 781, 547, 8508, 28031, 5652, 13395, 4690, 267, 28617, 693, 1272, 781, 26208, 267, 543, 10027, 5109, 8090, 540, 4276, 910, 2436, 4687, 2984, 593, 23749, 610, 1818, 6653, 23964, 693, 1753, 269, 0, 2237, 513, 1483, 3734, 1650, 3838, 676, 2576, 538, 513, 14703, 8468, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 281, 3097, 29205, 596, 2491, 519, 1114, 2010, 540, 32058, 657, 543, 741, 2189, 4162, 888, 8133, 267, 607, 606, 3642, 1893, 2203, 267, 594, 666, 2491, 519, 1114, 2010, 540, 32058, 657, 543, 741, 2189, 4162, 1384, 272, 269, 9835, 623, 10730, 910, 634, 6264, 14440, 568, 519, 4102, 543, 1034, 20380, 1826, 540, 14440, 269, 898, 2356, 3800, 1063, 476, 276, 547, 476, 280, 3952, 1279, 543, 2488, 513, 3638, 543, 2407, 3280, 602, 568, 4998, 585, 8106, 2575, 269, 634, 6264, 14440, 849, 2934, 513, 2647, 2039, 540, 10569, 543, 554, 27980, 267, 3850, 519, 32058, 626, 547, 1404, 609, 3152, 6384, 543, 4082, 780, 273, 269, 772, 1440, 697, 623, 10730, 910, 634, 20005, 14440, 568, 513, 811, 10097, 543, 2230, 22766, 4244, 547, 519, 6264, 14440, 269, 898, 6763, 19794, 543, 814, 513, 4130, 3280, 4580, 267, 799, 7472, 513, 811, 5059, 543, 17321, 3280, 269, 634, 20005, 14440, 568, 849, 4998, 585, 2442, 2575, 543, 15690, 780, 274, 269, 7913, 623, 10730, 910, 589, 3059, 14440, 568, 606, 5907, 6293, 602, 1138, 12885, 519, 3280, 543, 5905, 540, 606, 17974, 14440, 269, 898, 3091, 513, 2647, 2039, 540, 2934, 267, 971, 607, 2212, 7483, 795, 2931, 267, 10916, 7207, 267, 543, 1019, 10640, 763, 1650, 1058, 1331, 281, 3097, 268, 18990, 4690, 610, 9644, 281, 4685, 883, 1808, 12348, 267, 4690, 267, 610, 14973, 3871, 3097, 268, 1323, 6397, 4729, 6335, 610, 2502, 4655, 281, 6338, 513, 11541, 2943, 4101, 3510, 610, 14196, 602, 519, 2278, 5185, 269, 3097, 268, 14506, 543, 5813, 281, 1439, 609, 513, 6571, 602, 3091, 513, 1007, 1620, 267, 513, 2631, 540, 2146, 267, 610, 513, 2123, 13414, 267, 1454, 899, 519, 8753, 6537, 538, 8468, 5717, 563, 9359, 519, 1650, 1318, 2476, 269, 0, 6637, 476, 1428, 281, 4197, 5403, 6874, 571, 9964, 13262, 13081, 630, 303, 15056, 264, 543, 3776, 4858, 1231, 692, 5970, 596, 2479, 5433, 2731, 18901, 610, 13347, 1310, 7680, 1945, 17559, 610, 15779, 286, 9320, 621, 729, 3478, 4503, 538, 513, 22125, 32041, 267, 1373, 13032, 1221, 676, 2576, 693, 1153, 267, 610, 1256, 26164, 513, 1286, 8009, 269, 1452, 2833, 666, 4734, 721, 4743, 695, 2586, 909, 543, 14221, 585, 930, 942, 19952, 269, 1809, 1018, 4523, 950, 1346, 4606, 1810, 1405, 979, 2476, 267, 543, 3079, 6529, 1472, 1279, 1310, 519, 2680, 814, 5293, 286, 901, 568, 1018, 4523, 609, 1004, 945, 723, 2022, 32034, 2566, 4524, 267, 610, 17971, 780, 5331, 713, 9183, 281, 8861, 1175, 6410, 547, 513, 1007, 4884, 543, 3323, 11504, 513, 6216, 1007, 1647, 1153, 269, 2201, 1200, 1360, 1101, 1554, 267, 1352, 3893, 4503, 3843, 547, 1265, 1200, 9376, 518, 543, 8694, 909, 3735, 547, 1362, 269, 2368, 3214, 561, 13774, 1117, 693, 1200, 607, 1352, 15336, 883, 519, 4055, 267, 1818, 1200, 1745, 19849, 21724, 543, 1582, 23655, 269, 4634, 1498, 1352, 1336, 1200, 1259, 1472, 519, 1153, 1310, 602, 267, 1169, 942, 1352, 15211, 1524, 519, 10689, 3118, 1352, 7959, 8401, 543, 12922, 602, 824, 3214, 786, 14902, 693, 1200, 1586, 269, 2701, 6238, 9319, 1978, 2694, 540, 519, 1153, 865, 1352, 3085, 1405, 2196, 883, 1346, 3214, 267, 855, 1287, 1352, 8813, 3297, 538, 1200, 5049, 1317, 1352, 4413, 525, 1271, 4245, 269, 17652, 267, 8861, 3587, 20158, 543, 9678, 267, 8572, 547, 2972, 2238, 1352, 1031, 547, 2648, 780, 1607, 568, 513, 16866, 1383, 540, 875, 17971, 1522, 1860, 2576, 899, 8861, 269, 2986, 1576, 267, 3025, 781, 1995, 609, 17971, 568, 1114, 267, 855, 972, 616, 1455, 2589, 602, 1082, 1004, 2671, 269, 1280, 835, 3364, 267, 789, 949, 882, 633, 519, 8194, 936, 543, 936, 1586, 267, 2901, 998, 3781, 2742, 637, 610, 8755, 10587, 1282, 519, 1554, 269, 1358, 949, 849, 2119, 547, 2057, 4376, 602, 19595, 873, 540, 519, 15779, 2680, 267, 799, 666, 1291, 547, 4965, 543, 1514, 10072, 899, 649, 4718, 609, 8861, 269, 7053, 267, 789, 949, 1831, 3362, 1376, 1194, 610, 19225, 2989, 267, 2141, 593, 6316, 543, 4712, 547, 9718, 2933, 1996, 8594, 780, 3383, 1946, 1281, 713, 4755, 286, 4208, 666, 1405, 938, 12058, 1175, 21199, 1055, 891, 3983, 8823, 543, 1847, 593, 286, 4270, 267, 621, 7140, 856, 602, 938, 12058, 723, 1950, 1949, 538, 1747, 547, 948, 721, 3314, 1919, 267, 2523, 2178, 4664, 2404, 609, 2621, 269, 1879, 649, 1995, 1945, 31029, 610, 5906, 267, 938, 2634, 13847, 6464, 602, 2995, 938, 1560, 547, 5965, 585, 4339, 610, 8184, 910, 10416, 267, 1205, 4712, 547, 2901, 2196, 2476, 610, 3251, 543, 4339, 1394, 269, 901, 1062, 1568, 1390, 952, 649, 7237, 513, 7703, 1247, 19482, 538, 519, 18137, 267, 855, 711, 865, 1454, 950, 519, 3463, 568, 8854, 543, 938, 4703, 616, 1869, 12758, 538, 1164, 10591, 780, 4131, 781, 1413, 693, 1776, 1383, 269, 5994, 602, 10793, 14560, 4730, 13558, 267, 855, 646, 4991, 5734, 2182, 538, 519, 1850, 1282, 513, 3014, 543, 7475, 909, 609, 513, 4049, 5945, 269, 3571, 2634, 1121, 20047, 519, 1928, 543, 4250, 2404, 609, 602, 4090, 267, 16089, 6464, 602, 9594, 1010, 4339, 610, 8184, 3210, 269, 3767, 4952, 602, 4374, 2663, 267, 10793, 13290, 547, 1404, 13558, 1586, 267, 855, 1169, 942, 646, 3268, 5196, 519, 2361, 646, 7959, 3443, 1157, 344, 543, 7210, 269, 1261, 6487, 25401, 602, 646, 4465, 1405, 1205, 10413, 1586, 267, 855, 1010, 1560, 23465, 607, 952, 646, 781, 1318, 1394, 593, 519, 2361, 3478, 13676, 782, 936, 1586, 269, 2334, 781, 1317, 1010, 2634, 18387, 1405, 1044, 2111, 547, 10646, 1063, 519, 3312, 15779, 2680, 543, 1699, 3871, 602, 7618, 1864, 540, 621, 780, 293, 6136, 267, 3744, 543, 7189, 616, 1565, 811, 827, 875, 519, 2634, 3157, 15779, 8823, 543, 10953, 17971, 269, 3414, 1585, 5574, 971, 607, 5042, 8965, 3797, 543, 6646, 267, 1004, 666, 1451, 1983, 547, 4383, 741, 2589, 543, 2661, 16180, 2729, 5103, 2348, 4810, 8194, 269, 1635, 1620, 811, 827, 519, 5778, 6798, 1670, 6127, 5817, 17971, 267, 3173, 4126, 547, 1711, 1732, 5574, 543, 5310, 1256, 2061, 519, 2783, 15587, 14693, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 290, 10938, 585, 17520, 543, 3004, 9964, 13262, 15136, 454, 290, 10938, 585, 17520, 543, 3004, 9964, 13262, 15136, 543, 1290, 6088, 717, 4361, 5358, 454, 3080, 14332, 4777, 514, 12384, 267, 476, 277, 628, 4469, 3233, 454, 289, 10667, 267, 10790, 476, 28512, 1691, 454, 14197, 25439, 7089, 281, 476, 279, 5780, 268, 4510, 280, 268, 277, 6507, 280, 454, 7343, 2002, 906, 693, 29640, 16256, 454, 2414, 581, 2938, 693, 938, 30229, 16758, 267, 596, 1590, 723, 513, 3119, 1416, 10629, 693, 7136, 4937, 269, 7490, 4063, 602, 649, 4867, 723, 513, 7996, 1592, 540, 1896, 3275, 543, 938, 2702, 547, 1491, 593, 1007, 2550, 5673, 593, 519, 4390, 540, 938, 19353, 563, 2252, 596, 616, 5461, 538, 5275, 2126, 998, 513, 1382, 1353, 267, 596, 798, 711, 991, 513, 3119, 1416, 10629, 693, 7136, 4937, 547, 20618, 269, 6258, 811, 827, 938, 3742, 2090, 563, 2467, 568, 513, 1863, 7136, 4937, 5696, 662, 600, 29060, 1668, 602, 8255, 1063, 7136, 4937, 543, 3345, 13749, 630, 3602, 596, 666, 1921, 547, 519, 862, 17458, 7841, 543, 631, 6630, 288, 10538, 543, 3039, 3515, 1040, 7490, 1450, 476, 736, 268, 1789, 3764, 585, 8709, 12625, 563, 763, 962, 1177, 4486, 4741, 25880, 568, 519, 14191, 7136, 4937, 25880, 547, 519, 1863, 29060, 269, 2991, 596, 723, 6288, 539, 267, 979, 547, 519, 962, 1177, 4486, 22252, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 13662, 22180, 1315, 5369, 31752, 1315, 5403, 6874, 571, 9964, 13262, 13081, 630, 303, 15056, 264, 1315, 11671, 6798, 1670, 31469, 540, 17971, 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, 20871, 616, 1950, 1949, 1500, 909, 540, 2043, 945, 2097, 1927, 547, 11654, 1455, 3853, 269, 4197, 875, 891, 2043, 2170, 543, 1599, 1369, 2516, 568, 2629, 585, 10721, 2623, 543, 2359, 269, 901, 1576, 1770, 6212, 593, 1895, 6384, 1369, 3906, 267, 4481, 6313, 519, 1909, 540, 5718, 267, 2792, 267, 3375, 1818, 267, 543, 1379, 1369, 2516, 269, 1284, 786, 2263, 891, 3584, 998, 519, 7828, 540, 513, 19858, 2754, 1572, 834, 10481, 334, 22252, 725, 17882, 324, 257, 630, 31043, 1070, 1210, 606, 1349, 689, 741, 3896, 607, 938, 4358, 1448, 780, 5575, 267, 1577, 781, 4983, 519, 1523, 540, 5718, 1369, 22944, 269, 4340, 547, 519, 1349, 267, 519, 3919, 814, 513, 834, 21841, 6665, 800, 7027, 2437, 799, 5267, 513, 21712, 2497, 1141, 3664, 2095, 18746, 689, 513, 1507, 1895, 540, 3401, 269, 1717, 267, 2500, 5718, 4422, 3564, 6071, 15796, 282, 621, 3322, 2870, 513, 5075, 267, 11121, 1866, 267, 543, 14123, 5698, 269, 589, 13710, 6205, 693, 22944, 1522, 5431, 519, 1761, 2640, 540, 3850, 5520, 547, 1569, 2974, 523, 564, 3377, 25364, 267, 971, 607, 5807, 5876, 543, 5647, 269, 1635, 3246, 1569, 547, 513, 5763, 540, 1344, 543, 5380, 267, 5520, 949, 1745, 23518, 547, 3565, 4195, 2093, 543, 3435, 547, 519, 3919, 780, 31636, 4249, 513, 4105, 1909, 538, 1022, 3811, 1895, 6422, 269, 10738, 22944, 267, 2312, 2792, 9055, 1590, 2291, 1063, 782, 2157, 540, 519, 3919, 269, 1280, 1383, 267, 950, 25884, 2930, 2152, 267, 5520, 1058, 1745, 6899, 14379, 891, 2042, 547, 741, 2706, 12542, 269, 6684, 267, 5580, 2359, 1058, 5968, 6788, 5693, 543, 1683, 2834, 5955, 547, 2327, 9441, 7607, 543, 9547, 269, 13229, 2792, 849, 3340, 3742, 6947, 267, 6568, 267, 543, 22371, 547, 3309, 16752, 269, 18964, 16268, 5188, 1851, 2319, 2818, 666, 948, 1628, 3972, 267, 3895, 1702, 4687, 267, 543, 6536, 513, 811, 10319, 960, 1604, 780, 13356, 1707, 1818, 568, 1776, 2565, 2460, 540, 1895, 6384, 269, 2311, 22944, 267, 1585, 8639, 616, 3238, 538, 3375, 6194, 3157, 267, 1519, 5520, 267, 9946, 267, 543, 519, 8111, 6665, 800, 7027, 269, 898, 781, 1898, 547, 1174, 1114, 2010, 540, 3375, 6194, 6163, 543, 2553, 950, 2324, 538, 513, 1895, 4259, 269, 2290, 2442, 1935, 568, 13618, 2679, 267, 1141, 782, 6105, 3858, 2390, 513, 3070, 15217, 269, 3117, 7185, 2679, 2636, 585, 3152, 4444, 2987, 543, 7029, 689, 1895, 2818, 1247, 8716, 4763, 540, 6644, 269, 6271, 4480, 568, 15518, 566, 267, 13296, 6392, 568, 11292, 547, 2539, 7400, 5520, 547, 1118, 1978, 3664, 10446, 269, 1546, 5586, 908, 4247, 14013, 2337, 15814, 5539, 543, 16877, 5520, 547, 1491, 9562, 540, 3785, 780, 20175, 6384, 1404, 513, 1713, 1909, 538, 5935, 1895, 4205, 269, 5295, 1281, 711, 8209, 6565, 689, 6101, 7158, 1369, 606, 3919, 899, 22944, 282, 2864, 267, 621, 666, 10836, 689, 6791, 267, 1514, 5121, 267, 610, 4199, 1852, 269, 17291, 2959, 540, 1379, 1369, 513, 1895, 543, 1620, 875, 789, 7500, 666, 1291, 547, 8902, 3347, 1851, 9164, 269, 3958, 267, 9301, 543, 5466, 20817, 538, 1379, 3892, 666, 2061, 7526, 543, 2087, 2949, 1895, 2773, 780, 1103, 3932, 267, 3695, 1895, 6384, 1369, 606, 3919, 899, 22944, 8711, 519, 2956, 540, 5718, 267, 2792, 267, 3375, 1818, 267, 543, 1379, 538, 5935, 9036, 2528, 269, 1677, 8853, 538, 2221, 781, 6385, 4657, 1870, 5251, 267, 3549, 1590, 11349, 8537, 5054, 1141, 3309, 9739, 666, 2671, 2093, 16175, 269, 1306, 14051, 5170, 547, 5397, 14479 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 594, 525, 790, 26958, 842, 454, 268, 15302, 3361, 676, 927, 2381, 628, 17494, 454, 268, 15302, 3361, 676, 927, 2381, 628, 17494, 267, 4477, 2381, 628, 5180, 19095, 269, 4477, 2381, 628, 545, 3797, 2789, 26379, 454, 268, 4982, 710, 927, 2381, 628, 15495, 16917, 2723, 4445, 267, 26129, 267, 606, 1492, 27476, 842, 545, 4187, 267, 543, 2068, 9410, 454, 268, 4477, 2381, 628, 9341, 3676, 267, 24296, 29347, 1881, 927, 2381, 628, 3968, 269, 2843, 507, 3522, 8563, 4138, 15671, 3522, 30530, 9326, 10780, 3378, 30935, 10528, 25986, 9326, 9261, 454, 268, 4477, 2381, 628, 3676, 3361, 267, 670, 335, 341, 11563, 2860, 6668, 2557, 454, 268, 4477, 2381, 628, 21431, 5581, 910, 594, 525, 790, 26958, 842, 454, 31711, 1480, 927, 2381, 628, 4477, 2381, 628, 545, 3797, 2789, 26379, 22870, 1069, 328, 632, 3247, 927, 2381, 628, 476, 388, 503, 328, 840, 388, 505, 4477, 2381, 2195, 547, 4477, 2381, 2195, 1522, 21391, 1826, 272, 3987, 676, 27200, 519, 11444, 3056, 547, 519, 774, 272, 24975, 927, 2381, 628, 2068, 538, 3425, 540, 7378, 26148, 12498, 2281, 25358, 676, 6127, 1644, 547, 519, 4390, 540, 519, 3984, 547, 4410, 513, 774, 273, 3210, 547, 15495, 269, 4477, 2381, 2195, 616, 24352, 32698, 2831, 9862, 547, 2713, 1034, 540, 741, 2729, 1369, 9451, 24260, 14747, 563, 5445, 616, 15186, 3677, 538, 2450, 4699, 547, 476, 1839, 544, 982, 824, 11763, 19800, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 13900, 2381, 628, 1108, 257, 607, 851, 540, 834, 25503, 1315, 31226, 527, 1108, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 25839, 7969, 28690, 692, 8893, 476, 272, 281, 4985, 547, 7969, 5253, 692, 2005, 6501, 1426, 568, 2442, 782, 936, 519, 1158, 256, 1411, 1522, 723, 1256, 6836, 16741, 610, 838, 698, 515, 26152, 1354, 269, 1809, 972, 781, 865, 1454, 811, 547, 7969, 11951, 982, 1175, 1346, 1079, 8286, 269, 4653, 267, 649, 786, 1451, 827, 835, 540, 519, 1034, 11537, 7969, 6980, 1107, 20098, 1725, 320, 2439, 5970, 596, 2479, 4862, 540, 621, 286, 898, 781, 513, 1826, 540, 18437, 602, 568, 30305, 609, 8949, 5820, 899, 10381, 267, 5779, 267, 5388, 267, 543, 17705, 27156, 269, 5994, 2679, 707, 1378, 26889, 855, 1210, 6366, 562, 22259, 9212, 3079, 540, 3694, 269, 2334, 781, 2186, 540, 875, 15255, 1725, 320, 1568, 2439, 4131, 781, 2263, 1141, 15255, 1725, 320, 2501, 689, 543, 1018, 4422, 883, 1818, 713, 26345, 7594, 780, 8893, 476, 273, 281, 3778, 540, 20098, 1725, 320, 692, 299, 553, 1725, 320, 2965, 814, 3833, 606, 4277, 1686, 256, 3509, 12206, 3494, 602, 621, 3357, 689, 519, 4190, 2749, 540, 10878, 1255, 538, 7977, 269, 3026, 777, 7035, 753, 941, 1634, 585, 741, 2648, 540, 1434, 1426, 543, 5647, 538, 519, 10051, 269, 1358, 3576, 2647, 18437, 9212, 543, 3323, 19234, 676, 4946, 1585, 30836, 1063, 873, 269, 1656, 3976, 267, 15255, 1725, 320, 729, 4535, 2439, 7021, 942, 267, 1082, 4525, 538, 7977, 2919, 741, 2189, 8747, 540, 15255, 1725, 320, 269, 1280, 1383, 267, 1705, 596, 917, 602, 15255, 1725, 320, 645, 860, 333, 3150, 267, 799, 2882, 513, 3638, 5779, 986, 7666, 267, 2501, 689, 519, 2506, 23158, 7931, 1725, 320, 3148, 286, 2107, 602, 24558, 27482, 15255, 1725, 320, 1419, 3096, 4212, 8690, 543, 13284, 27198, 10381, 607, 922, 3119, 11423, 286, 1703, 616, 9118, 2081, 547, 5965, 15255, 1725, 320, 267, 1142, 10452, 519, 2199, 10366, 543, 5389, 780, 8893, 476, 274, 281, 23123, 543, 19369, 692, 3086, 1577, 781, 2911, 827, 1018, 2306, 909, 513, 2757, 15255, 1725, 320, 269, 2311, 922, 4295, 267, 15255, 1725, 320, 5161, 540, 2185, 1898, 3334, 1384, 272, 269, 12815, 320, 9212, 281, 774, 514, 6106, 540, 14859, 602, 4196, 607, 519, 3490, 543, 2497, 540, 519, 8670, 269, 2368, 29397, 4782, 4195, 18437, 267, 1247, 1866, 946, 12015, 3283, 269, 23657, 1259, 267, 789, 991, 547, 581, 11273, 2394, 620, 7202, 324, 630, 325, 3305, 547, 519, 11116, 1916, 273, 269, 4258, 3150, 281, 589, 3099, 540, 29380, 525, 666, 581, 1031, 267, 1519, 4779, 3960, 732, 12848, 267, 533, 1301, 525, 534, 267, 13284, 27198, 267, 610, 524, 1117, 323, 541, 269, 3962, 8591, 922, 3982, 8137, 543, 9403, 547, 519, 3575, 563, 274, 269, 28397, 576, 281, 8751, 6737, 14036, 568, 4122, 2404, 609, 15255, 1725, 320, 267, 855, 824, 3681, 2291, 1932, 267, 899, 536, 2946, 577, 14712, 610, 27598, 25487, 27156, 269, 29133, 2861, 27156, 267, 899, 986, 326, 383, 373, 267, 849, 960, 4898, 2685, 563, 275, 269, 19130, 902, 281, 29641, 267, 16469, 267, 610, 16872, 666, 581, 3773, 4470, 593, 2123, 13283, 269, 5871, 5079, 1331, 22156, 267, 11350, 18717, 267, 30725, 720, 267, 2666, 14132, 267, 610, 1256, 20544, 2439, 2414, 1118, 15255, 1725, 320, 267, 1246, 891, 3268, 1384, 272, 269, 13648, 519, 18437, 9212, 2687, 547, 10189, 5528, 563, 273, 269, 24619, 513, 4494, 540, 14036, 693, 519, 5377, 540, 513, 1804, 11256, 8670, 563, 274, 269, 9255, 11273, 18437, 9212, 593, 1283, 540, 519, 14036, 563, 275, 269, 5410, 513, 21464, 4543, 540, 10381, 543, 30836, 563, 276, 269, 19244, 3268, 476, 273, 998, 476, 275, 2394, 782, 5820, 616, 1031, 909, 269, 5269, 2386, 547, 1439, 609, 513, 3803, 4494, 540, 14036, 543, 10381, 593, 1283, 563, 277, 269, 645, 820, 538, 519, 14089, 2394, 11344, 6960, 543, 11164, 29087, 1107, 2356, 1472, 476, 1789, 3764, 693, 476, 23841, 13790, 630, 5002, 9180, 1916, 278, 269, 2913, 3579, 5594, 1354, 7674, 269, 17949, 707, 19471, 15255, 1725, 320, 2439, 8893, 476, 275, 281, 8347, 532, 4934, 7756, 29938, 692, 2026, 5018, 4505, 267, 32228, 2103, 2648, 2688, 1944, 741, 15255, 1725, 553, 1759, 593, 6237, 7375, 269, 4208, 711, 2119, 2870, 707, 4528, 1210, 5820, 6093, 547, 707, 1858, 286, 1280, 3236, 267, 952, 596, 2661, 2282, 519, 5032, 267, 2015, 6220, 804, 4461, 267, 1660, 17632, 267, 610, 1608, 600, 926, 269, 1403, 596, 1332, 1990, 1075, 577, 7236, 610, 4212, 17852, 538, 707, 4677, 267, 20105, 873, 6094, 569, 543, 1039, 873, 547, 519, 6106, 780, 8855, 267, 972, 781, 1100, 1318, 610, 4636, 1259, 547, 2972, 15255, 1725, 320, 269, 2142, 3860, 267, 723, 1187, 267, 543, 1034, 11932, 1107, 521, 2948, 1169, 11116, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 7922, 690, 282, 31204, 269, 5617, 773, 1386, 547, 723, 12090, 689, 519, 2749, 540, 10878, 1255, 267, 713, 1134, 2000, 3437, 543, 2943, 1776, 5929, 7969, 8670, 568, 1500, 676, 11256, 9212, 540, 15255, 27158, 18437, 30305, 609, 10381, 267, 2666, 5779, 267, 5388, 543, 1114, 8677, 540, 27156, 267, 971, 607, 519, 986, 326, 383, 373, 267, 581, 577, 14712, 610, 16603, 14036, 269, 1452, 616, 6039, 609, 7969, 7188, 2996, 607, 513, 2427, 267, 899, 513, 3694, 269, 3057, 476, 736, 267, 476, 1001, 280, 910, 10812, 8349, 2106, 2274, 11232, 781, 4604, 834, 12218, 545, 7969, 2598, 1127, 2580, 4553, 676, 476, 32542, 1004, 593, 26964, 269, 3399, 609, 27574, 14274, 540, 5140, 2298, 630, 2181, 2536, 2406, 667, 8008, 5842, 3057, 345, 534, 657, 1070, 1039, 31577, 543, 22323, 2898, 585, 14255, 2507, 2353, 13440, 6346, 814, 811, 982, 476, 272, 267, 26392, 11967, 7969, 1292, 8670, 10346, 2347, 609, 16863, 267, 8039, 543, 5986, 4388, 269, 20323, 3370, 5412, 476, 1626, 267, 476, 1001, 277, 269, 3371, 616, 930, 540, 519, 1034, 5929, 8286, 596, 3580, 5431, 689, 519, 2276, 2443, 543, 1018, 547, 1413, 585, 538, 7977, 3079, 269, 901, 8670, 729, 2813, 538, 519, 32303, 1470, 3148, 630, 1492, 1858, 1472, 7507, 264, 538, 519, 1647, 540, 519, 476, 736, 628, 2540, 267, 1310, 2622, 2782, 5565, 269, 31160, 609, 1989, 730, 623, 1301, 525, 534, 10381, 593, 11110, 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, 27986, 3776, 14136, 910, 634, 10020, 540, 7025, 543, 8693, 3778, 692, 7072, 1384, 5331, 952, 596, 1223, 2951, 1394, 538, 942, 543, 7198, 20250, 875, 938, 4541, 814, 4957, 2429, 1686, 256, 1411, 1131, 1294, 18932, 7733, 8720, 5318, 2127, 267, 2312, 4544, 22839, 609, 5017, 865, 2130, 1164, 267, 543, 7524, 12084, 2407, 540, 1272, 269, 1809, 596, 1522, 849, 5469, 930, 2242, 602, 616, 711, 865, 2318, 269, 667, 4078, 23667, 267, 26130, 2011, 267, 543, 10010, 7320, 5095, 616, 1175, 513, 1906, 2152, 602, 3425, 723, 3361, 998, 741, 3527, 269, 901, 3184, 6212, 593, 7025, 543, 8693, 3778, 1107, 1620, 1018, 814, 5949, 547, 938, 3047, 538, 519, 2250, 543, 875, 621, 5540, 721, 2221, 269, 1635, 4974, 713, 1271, 1888, 267, 649, 666, 1451, 827, 519, 4539, 540, 1480, 2238, 543, 960, 2509, 2870, 513, 1732, 2104, 585, 782, 2713, 7919, 780, 4089, 476, 272, 281, 1548, 1772, 26085, 2496, 289, 1675, 1751, 4016, 547, 519, 3099, 540, 1114, 2249, 540, 2371, 267, 2831, 267, 13271, 267, 543, 14471, 602, 2661, 593, 3047, 269, 3245, 6263, 7786, 547, 11999, 16385, 267, 1169, 13442, 4249, 922, 1909, 538, 4509, 513, 2635, 5117, 269, 3807, 899, 2348, 1082, 2010, 540, 9162, 8952, 1404, 5503, 4277, 267, 3309, 2030, 543, 3662, 2950, 1832, 938, 1604, 7059, 543, 14762, 780, 7078, 281, 5994, 9683, 513, 6288, 4904, 1152, 609, 25190, 976, 855, 1100, 824, 6177, 2249, 269, 1215, 19309, 1131, 602, 581, 26834, 3767, 1589, 827, 2469, 547, 513, 4104, 1141, 972, 616, 9118, 5686, 540, 4054, 267, 5810, 267, 17984, 267, 543, 5017, 269, 27355, 1405, 602, 1454, 811, 4241, 286, 2334, 781, 1317, 9265, 2306, 1919, 811, 4277, 543, 4190, 2439, 4089, 476, 273, 281, 4208, 9701, 1284, 5516, 6168, 8693, 7827, 2496, 20458, 1689, 568, 1776, 2565, 2460, 540, 7025, 543, 8693, 3778, 269, 898, 6257, 1279, 3856, 10593, 538, 5210, 543, 4365, 3270, 1813, 547, 2799, 2157, 540, 3327, 8166, 543, 824, 9362, 5950, 883, 519, 5790, 5631, 998, 8781, 8093, 10173, 971, 607, 5755, 267, 3282, 267, 543, 3154, 269, 1452, 2242, 1860, 3388, 689, 519, 1426, 649, 3548, 547, 519, 1216, 649, 4235, 543, 1256, 1764, 519, 6668, 540, 1585, 2249, 780, 7078, 281, 6056, 827, 9849, 513, 5394, 5162, 10359, 1282, 4832, 269, 16319, 13943, 267, 1318, 286, 4270, 267, 4952, 8701, 12217, 4743, 519, 1482, 1259, 950, 789, 1265, 1447, 4672, 547, 1964, 593, 1813, 547, 8375, 2518, 5210, 269, 1306, 2916, 1689, 5170, 267, 891, 15999, 7068, 949, 6560, 547, 7639, 538, 741, 11848, 9249, 780, 4089, 476, 274, 281, 11038, 17423, 10435, 1299, 7186, 18401, 692, 3086, 596, 1522, 4898, 267, 834, 1432, 1281, 1250, 17927, 2724, 610, 27108, 723, 547, 798, 609, 7863, 519, 1604, 8119, 5617, 10079, 621, 610, 711, 267, 2883, 3664, 1500, 676, 2043, 267, 4213, 267, 543, 6608, 1404, 513, 1713, 1909, 538, 8497, 938, 4541, 585, 2104, 5481, 269, 1879, 1004, 1902, 20617, 538, 3549, 602, 1416, 827, 519, 1604, 267, 789, 948, 1489, 4264, 2853, 543, 2569, 2800, 547, 938, 4541, 780, 7078, 281, 2913, 781, 2161, 596, 1616, 547, 4444, 513, 1007, 11442, 269, 5502, 540, 7446, 835, 1500, 1210, 2326, 5739, 547, 519, 1604, 267, 1946, 711, 4584, 835, 2813, 1210, 13381, 15229, 610, 7791, 2200, 286, 2659, 3903, 2337, 6494, 513, 5048, 547, 9755, 602, 6800, 1871, 2472, 1500 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 14187, 5240, 585, 15526, 2336, 11990, 476, 274, 281, 1626, 1107, 1280, 2696, 865, 6068, 519, 1158, 7498, 11990, 267, 519, 20227, 5856, 267, 8118, 1010, 2272, 540, 519, 1272, 540, 4906, 609, 513, 17083, 602, 12038, 547, 1312, 519, 5259, 543, 6014, 10600, 269, 2311, 6970, 525, 19327, 10218, 328, 267, 4906, 1185, 5189, 3571, 20785, 547, 519, 3677, 1158, 1141, 3571, 5783, 729, 547, 581, 3710, 269, 634, 20227, 540, 3627, 729, 2693, 2854, 538, 9210, 1127, 639, 267, 6192, 1063, 476, 5952, 268, 4817, 645, 5861, 269, 3627, 779, 2594, 729, 5497, 547, 796, 1518, 6014, 543, 22918, 850, 4906, 13794, 609, 519, 796, 4328, 5013, 7282, 3571, 1272, 563, 31528, 1107, 589, 6820, 5678, 454, 11990, 779, 20227, 7012, 1406, 2854, 538, 12355, 610, 589, 18769, 545, 855, 5259, 269, 12138, 519, 4279, 5189, 7225, 20660, 543, 519, 7642, 547, 5259, 6138, 543, 2528, 269, 634, 5259, 1893, 729, 519, 968, 1782, 7699, 21473, 8619, 892, 540, 602, 942, 563, 763, 5259, 543, 6014, 10600, 1185, 606, 6909, 1764, 593, 835, 1776, 269, 14271, 698, 690, 1132, 538, 5840, 7550, 930, 540, 519, 3450, 2994, 540, 24198, 269, 634, 2696, 540, 14062, 267, 21469, 267, 543, 15243, 729, 4986, 899, 519, 25384, 10971, 540, 10255, 269, 16380, 941, 8049, 269, 9478, 639, 5638, 602, 12138, 6444, 519, 22464, 540, 519, 13527, 1062, 538, 13243, 269, 1261, 25343, 519, 7642, 269, 1924, 621, 568, 2067, 602, 3627, 779, 20227, 1131, 3717, 547, 519, 23381, 540, 519, 16380, 538, 741, 1893, 1247, 24228, 2035, 789, 1223, 1174, 269, 634, 2856, 540, 968, 8421, 657, 892, 729, 835, 540, 1346, 2035, 563, 1103, 519, 4098, 267, 729, 519, 6478, 267, 543, 519, 6478, 729, 609, 2696, 267, 543, 519, 6478, 729, 2696, 269, 1107, 3627, 476, 272, 281, 272, 454, 3719, 267, 3627, 729, 711, 513, 5259, 14544, 269, 2311, 519, 942, 540, 1010, 1603, 630, 294, 13620, 540, 3627, 267, 476, 272, 560, 267, 476, 273, 526, 267, 1299, 476, 274, 6113, 3627, 267, 31694, 1070, 646, 729, 606, 11361, 6014, 13278, 2006, 3450, 1018, 4906, 6026, 538, 519, 5259, 18702, 1158, 269, 1703, 568, 513, 6031, 267, 968, 2791, 666, 1491, 513, 10800, 24742, 856, 540, 7147, 267, 855, 596, 666, 1406, 1491, 7147, 856, 540, 519, 10800, 24742, 1848, 2334, 2856, 10039, 547, 3627, 267, 519, 11537, 1167, 2118, 540, 4906, 269, 2696, 3576, 3627, 856, 540, 5840, 269, 1261, 1705, 711, 1491, 5840, 856, 540, 3627, 563, 305, 13741, 28649, 17194, 2725, 1115, 5259, 13898, 454, 310, 8576, 883, 519, 5958, 540, 519, 7139, 4084, 547, 3627, 779, 20227, 2272, 568, 513, 1360, 6014, 1259, 540, 3206, 538, 519, 476, 272, 560, 11416, 563, 291, 822, 541, 815, 6490, 571, 815, 8298, 657, 815, 6478, 454, 3891, 11119, 589, 18769, 545, 5259, 2296, 454, 4407, 519, 1715, 11620, 729, 2854, 538, 5259, 267, 519, 589, 18769, 545, 2262, 538, 1445, 2221, 568, 968, 300, 655, 571, 2223, 6697, 540, 5096, 541, 267, 8298, 657, 267, 543, 6478, 269, 634, 14558, 529, 540, 519, 476, 272, 560, 11416, 4857, 519, 6490, 571, 607, 519, 7271, 676, 799, 2696, 1500, 13924, 1345, 1634, 269, 634, 3909, 3401, 540, 3627, 779, 942, 6026, 3670, 18408, 7282, 519, 6490, 571, 563, 268, 634, 6490, 571, 568, 1312, 3982, 689, 2696, 543, 849, 519, 1482, 607, 2696, 563, 268, 634, 6490, 571, 568, 519, 8665, 540, 5137, 563, 268, 634, 6490, 571, 568, 519, 8665, 540, 20778, 563, 268, 634, 6490, 571, 568, 519, 8665, 540, 13414, 563, 268, 634, 6490, 571, 568, 875, 2696, 2968, 7298, 563, 268, 634, 6490, 571, 568, 875, 2696, 9896, 3571, 524, 8576, 1218, 563, 763, 14558, 529, 3893, 621, 1318, 269, 2353, 3670, 540, 519, 18408, 1373, 6026, 676, 519, 14558, 529, 7282, 519, 6490, 571, 1336, 741, 20185, 538, 519, 1268, 540, 31050, 4906, 256, 8409, 18408, 7282, 519, 6490, 571, 4646, 606, 7291, 585, 519, 30810, 540, 3627, 779, 20227, 563, 297, 1168, 1299, 22918, 850, 267, 3143, 5940, 8012, 454, 6524, 942, 3459, 267, 2696, 5497, 602, 7642, 543, 16380, 7567, 1131, 1265, 741, 1455, 3961, 538, 4906, 269, 3627, 15336, 609, 13924, 267, 14437, 609, 13924, 267, 17696, 609, 13924, 267, 543, 1705, 1272, 609, 13924, 585, 1614, 543, 3368, 1296, 269, 1261, 4941, 3025, 547, 917, 4906, 607, 646, 1705, 269, 3571, 6612, 3576, 1864, 856, 540, 5840, 547, 581, 513, 7198, 540, 4906, 538, 519, 6082, 563, 8489, 568, 4906, 3056, 596, 888, 6124, 11620, 16497, 454, 5649, 3627, 476, 272, 281, 272, 268, 276, 2676, 268, 2696, 6659, 909, 1614, 6082, 1282, 519, 476, 6110, 1296, 1063, 5689, 25764, 543, 519, 4332, 540, 4906, 269, 8625, 267, 2696, 1031, 873, 547, 2347, 3571, 1544, 585, 519, 1158, 543, 3388, 538, 621, 563, 268, 10255, 729, 519, 1101, 540, 1346, 7060, 269, 12138, 519, 4279, 22482, 519, 14655, 7276, 269, 634, 6431, 2103, 12199, 936, 5840, 693, 519, 2673, 540, 519, 6196, 11620, 1974, 563, 268, 634, 16380, 26927, 3139, 540, 796, 1746, 519, 3003, 1158, 998, 519, 3262, 540, 741, 2528, 543, 741, 1893, 269, 1358, 3964, 7740, 630, 326, 2096, 19063, 1756, 338, 264, 540, 2069, 538, 782, 519, 1016, 24503, 730, 2477, 540, 741, 10504, 269, 1635, 2696, 779, 1374, 267, 519, 5259, 1893, 2968, 519, 8789, 1893, 540, 519, 1634, 1158, 693, 602, 942, 563, 268, 634, 1715, 11620, 729, 8385, 2854, 538, 5259, 269, 1635, 519, 942, 540, 4906, 267, 519, 12355, 6426, 1315, 6196, 11620, 729, 12261, 883, 5259, 269, 1133, 1746, 519, 1158, 998, 513, 1455, 1893, 729, 513, 1713, 1900, 538, 3768, 21749, 1018, 5949, 538, 519, 12567, 540, 3798, 523, 563, 32622, 1677, 623, 16093, 454, 268, 6056, 827, 519, 9322, 4810, 538, 519, 12567, 540, 3798, 523, 269, 1548, 5949, 1063, 14088, 543, 18832, 267, 1063, 519, 1101, 7008, 543, 519, 2290, 4171, 3239, 789, 16004, 888, 268, 3367, 19606, 476, 1556, 281, 272, 268, 280, 269, 6969, 519, 18975, 540, 645, 8475, 267, 3025, 12038, 519, 1482, 1893, 269, 1530, 1203, 344, 6082, 267, 6340, 1114, 4654, 267, 729, 519, 1267, 563, 268, 1703, 568, 513, 3666, 547, 581, 1336, 1063, 5275, 9322, 543, 8508, 4763, 269, 1215, 1522, 596, 581, 856, 540, 3666, 888, 268, 18266, 1590, 581, 9275, 538, 2648, 269, 634, 20227, 568, 585, 3025, 269, 898, 568, 693, 519, 1482, 942, 1312, 12600, 543, 8537, 269, 1215, 1705, 4906, 1118, 3025, 6899, 538, 3571, 4527, 286, 1548, 616, 519, 12600, 6811, 519, 6426, 2306, 827, 519, 1268, 540, 4906, 2441, 888, 31819, 2139, 593, 713, 3896, 568, 16523, 547, 946, 1863, 6361, 5279, 269, 1403, 596, 1265, 1018, 649, 616, 3257, 3407, 267, 1131, 596, 6443, 938, 2883, 2319, 676, 1810, 908, 1269, 272, 1142, 1554, 267, 1269, 1789, 513, 3923, 267, 547, 519, 2518, 960, 540, 5494, 2118, 11545, 286, 0, 288, 5404, 699, 779, 8562, 340, 1388, 4521, 2829, 519, 2078, 1063, 519, 1699, 543, 519, 6419, 2361, 2813, 676, 621, 563, 1607, 1876, 2829, 602, 519, 7533, 540, 6419, 2361, 5860, 630, 289, 264, 2059, 606, 16494, 6806, 2619, 568, 3160, 547, 519, 1587, 540, 1699, 20583, 676, 519, 2619, 543, 27978, 540, 519, 5420, 563, 22832, 1849, 17064, 7665, 6202, 1185, 6508, 602, 563, 2005, 4244, 569, 3081, 267, 519, 7533, 540, 6419, 2361, 8515, 630, 295, 264, 2059, 606, 16494, 6806, 2619, 568, 3160, 547, 519, 1699, 20583, 676, 519, 2619, 563, 4131, 721, 1491, 606, 5122, 18364, 267, 8876, 513, 1699, 540, 594, 18041, 699, 267, 18746, 607, 3254, 538, 519, 4137, 2630, 563, 4131, 721, 1491, 606, 16494, 8520, 1472, 519, 18364, 269, 1284, 849, 1289, 713, 8520, 607, 993, 704, 1014, 8520, 563, 4131, 721, 849, 4952, 519, 8953, 540, 519, 8520, 568, 678, 543, 519, 13441, 5860, 2813, 693, 1022, 1448, 593, 519, 8520, 1813, 547, 1699, 998, 519, 18364, 568, 645, 563, 4131, 721, 2015, 606, 31208, 2572, 2711, 3259, 546, 331, 540, 519, 993, 704, 1014, 8520, 693, 519, 1482, 1448, 563, 4263, 1142, 1448, 593, 519, 993, 704, 1014, 8520, 267, 519, 1871, 540, 645, 568, 3586, 2094, 519, 13902, 3845, 540, 602, 1448, 689, 519, 7852, 540, 18364, 568, 6378, 267, 855, 519, 4287, 786, 581, 2059, 519, 17242, 593, 519, 8520, 693, 602, 1448, 563, 763, 2673, 7533, 540, 519, 6419, 2361, 5860, 645, 2059, 519, 993, 704, 1014, 8520, 267, 786, 581, 2676, 3086, 267, 2687, 547, 2549, 335, 699, 779, 8562, 340, 1388, 4521, 454, 21156, 540, 835, 1699, 8876, 18364, 267, 972, 616, 715, 1297, 540, 26423, 8876, 1482, 1699, 594, 267, 20583, 676, 519, 2619, 267, 1287, 454, 273, 4555, 593, 968, 288, 5404, 699, 779, 8562, 340, 1388, 4521, 281, 1548, 568, 621, 18313, 628, 343, 585, 519, 948, 563, 5591, 19048, 962, 1662, 269, 594, 4126, 596, 1336, 621, 3730, 269, 0, 23322, 1436, 543, 19032, 540, 1924, 2812, 540, 2806, 984, 334, 9351, 267, 5375, 18629, 454, 15447, 1578, 540, 519, 5686, 543, 3601, 540, 11934, 568, 2565, 585, 1818, 3664, 609, 2463, 547, 7693, 2504, 543, 824, 2244, 946, 2010, 269, 589, 2361, 5619, 543, 3037, 24466, 6609, 543, 8047, 2079, 941, 5645, 856, 547, 4766, 267, 21656, 267, 543, 19665, 519, 11934, 540, 2806, 984, 334, 1858, 267, 7262, 18629, 269, 18599, 11347, 7895, 976, 630, 288, 268, 272, 547, 589, 268, 278, 264, 941, 8118, 543, 4330, 2066, 519, 1353, 1858, 269, 634, 2164, 7000, 8390, 538, 24466, 267, 2168, 267, 543, 3114, 3601, 540, 519, 11934, 269, 634, 11934, 616, 10036, 3138, 600, 547, 10036, 5674, 538, 9403, 609, 13557, 5860, 2418, 8151, 689, 476, 272, 269, 1321, 547, 476, 272, 269, 3953, 575, 4699, 6629, 274, 543, 2596, 22467, 1674, 2557, 8795, 689, 3500, 547, 9793, 630, 271, 269, 275, 547, 476, 274, 269, 274, 4699, 32162, 6629, 272, 1040, 1358, 941, 26815, 15755, 547, 9243, 538, 9063, 630, 276, 269, 276, 547, 476, 278, 269, 272, 264, 543, 1185, 1360, 1970, 547, 5420, 5214, 3327, 630, 8016, 264, 630, 271, 269, 2767, 547, 476, 273, 269, 7176, 22103, 9050, 3037, 2010, 267, 12794, 2364, 18095, 529, 11169, 267, 20539, 545, 13198, 6665, 11169, 267, 20703, 997, 2274, 696, 657, 11169, 267, 543, 20703, 997, 20539, 529, 11169, 267, 941, 4857, 538, 519, 1858, 1759, 593, 2622, 13129, 12476, 269, 13575, 267, 519, 3601, 540, 519, 11934, 28209, 2059, 519, 17464, 4167, 10834, 741, 8390, 538, 11327, 1761, 543, 2359, 4170, 585, 1808, 6694, 946, 563, 15447, 1578, 540, 519, 5686, 543, 3601, 540, 11934, 568, 2565, 585, 3664, 1818, 609, 2463, 547, 7693, 2504, 543, 824, 2244, 946, 2010, 269, 898, 568, 998, 5730, 6482, 543, 2407, 1620, 540, 519, 2470, 543, 3601, 540, 11934, 607, 1134, 607, 1697, 2359, 540, 519, 8770, 543, 7509, 4170, 602, 835, 666, 11694, 7693, 2504, 547, 519, 1450, 762, 1761, 7182, 1547, 769, 1931, 547, 6218, 519, 2298, 540, 938, 2067, 2200, 543, 741, 1761, 547, 3132, 1426, 267, 535, 617, 1457, 267, 6775, 267, 543, 4492, 585, 519, 1459, 543, 2104, 5481, 267, 2143, 1344, 593, 3037, 3601, 568, 2838, 563, 10112, 20156, 540, 3037, 585, 2244, 946, 4058, 568, 5051, 1271, 1813, 547, 2810, 6735, 585, 2244, 1851, 1082, 2244, 3096, 543, 519, 5912, 689, 7449, 14571, 547, 2344, 1759, 8105, 538, 1082, 2477, 1547, 4400, 2298, 3037, 8760, 267, 4061, 267, 568, 519, 4493, 585, 3608, 2244, 29839, 6268, 267, 4058, 267, 543, 2359, 269, 14606, 8760, 568, 1271, 538, 7114, 519, 1034, 3617, 946, 540, 3037, 267, 21501, 2504, 267, 970, 1905, 565, 908, 1702, 6591, 693, 835, 4087, 547, 824, 1419, 5266, 2370, 1634, 6753, 267, 543, 3246, 513, 4493, 585, 2104, 1382, 2115, 1547, 14606, 18572, 568, 2838, 547, 19665, 3037, 543, 3313, 3114, 543, 2168, 3601, 711, 7298, 538, 2361, 6514, 4586, 7712, 519, 2038, 1568, 540, 667, 758, 1276, 2801, 341, 267, 972, 814, 1044, 3661, 538, 519, 13829, 540, 3037, 3601, 593, 3037, 3157, 267, 799, 4096, 538, 2490, 593, 3037, 268, 14127, 2188, 269, 634, 2947, 3037, 268, 14127, 2188, 666, 9192, 538, 3592, 11995, 2081, 547, 2285, 4473, 547, 1082, 5686, 540, 3037, 2043, 269, 898, 568, 7543, 547, 3314, 741, 4408, 267, 1577, 4805, 741, 3601, 282, 8754, 972, 568, 991, 547, 10891, 11934, 1344, 676, 8760, 1949, 1547, 23721, 2990, 7506, 20359 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 538, 3309, 2950, 543, 8026, 18532, 8343, 267, 5698, 267, 6304, 267, 543, 6041, 267, 649, 11349, 3152, 6568, 543, 7071, 585, 1866, 262, 2833, 269, 1306, 3743, 15888, 540, 1762, 2937, 15923, 1568, 10704, 1472, 1148, 267, 5373, 267, 543, 4683, 11516, 4221, 267, 1577, 721, 3136, 547, 4161, 17888, 8155, 543, 12167, 585, 811, 12581, 7239, 998, 938, 3532, 5420, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 12606, 670, 643, 1656, 26225, 281, 5455, 323, 908, 634, 4317, 8232, 5903, 902, 454, 23744, 1134, 581, 707, 15872, 609, 4647, 7486, 543, 1297, 269, 674, 19699, 8644, 4927, 2049, 606, 19015, 585, 1977, 2511, 689, 7194, 267, 1058, 621, 8428, 4052, 538, 519, 5351, 269, 31351, 2806, 663, 8205, 1053, 281, 1284, 3406, 513, 4739, 344, 16311, 566, 602, 568, 835, 540, 519, 4102, 7489, 10632, 2281, 538, 519, 4082, 269, 1284, 2408, 711, 476, 274, 4205, 540, 4647, 7486, 543, 26225, 281, 5455, 323, 908, 519, 4317, 8232, 5903, 902, 267, 855, 1796, 476, 14596, 267, 1822, 635, 12203, 543, 616, 476, 274, 15033, 1919, 899, 1022, 476, 4350, 278, 261, 526, 1662, 1253, 5962, 1433, 585, 3406, 281, 938, 840, 32383, 267, 11422, 267, 840, 15082, 267, 4648, 267, 543, 1547, 634, 4647, 7486, 568, 593, 519, 29117, 338, 543, 8031, 540, 5289, 10220, 568, 267, 593, 875, 547, 2307, 1561, 321, 762, 2326, 267, 1118, 543, 581, 1480, 3688, 267, 543, 2712, 326, 1836, 1118, 513, 2079, 540, 7778, 269, 5565, 2175, 616, 27704, 4457, 547, 6023, 1977, 585, 15784, 5627, 6388, 538, 713, 2221, 269, 634, 3609, 568, 1256, 19451, 569, 1450, 1524, 2474, 269, 898, 568, 2188, 2919, 689, 555, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 9358, 7582, 22723, 13493, 1315, 3203, 1315, 14301, 1315, 12124, 4787, 564, 4221, 543, 4750, 532, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 545, 2761, 338, 910, 589, 6733, 883, 5545, 1977, 9177, 4438, 2622, 2782, 4083, 692, 7072, 912, 5970, 596, 2479, 2219, 827, 875, 1148, 666, 2995, 2984, 286, 769, 713, 3992, 267, 649, 786, 2263, 1114, 9423, 2553, 1031, 538, 1585, 3029, 540, 1148, 267, 4481, 2519, 593, 1688, 8154, 539, 3615, 2813, 676, 5545, 4892, 1282, 2622, 2782, 4083, 269, 1452, 4773, 3180, 3532, 2984, 5293, 1524, 998, 5481, 543, 2709, 721, 5813, 883, 1686, 267, 2528, 267, 543, 1480, 6043, 269, 1635, 6313, 891, 2189, 1568, 540, 1148, 267, 649, 3513, 1451, 811, 827, 519, 1004, 945, 1500, 873, 543, 3605, 930, 3860, 2081, 789, 6829, 2933, 950, 5185, 609, 4101, 6381, 780, 4089, 476, 272, 281, 4197, 519, 12745, 454, 7628, 2622, 2782, 4083, 267, 1082, 5545, 4892, 941, 7142, 547, 4734, 741, 5321, 543, 2661, 538, 2028, 618, 13122, 1813, 547, 4250, 543, 14882, 269, 6736, 6849, 2352, 2175, 267, 789, 1336, 2081, 547, 1711, 4190, 1688, 8154, 539, 3688, 1210, 3908, 2200, 269, 3509, 540, 891, 13144, 2968, 1726, 25979, 1920, 25752, 5979, 1682, 543, 1683, 3407, 4030, 883, 1272, 3330, 519, 13122, 780, 4089, 476, 273, 281, 10289, 7756, 22553, 540, 7435, 545, 2761, 338, 454, 4131, 781, 1413, 693, 1614, 2010, 540, 1688, 8154, 539, 3688, 1500, 1282, 713, 942, 1384, 272, 269, 30166, 8132, 281, 11822, 2943, 17715, 267, 3786, 13402, 11647, 4951, 4199, 6888, 543, 5876, 269, 10705, 9112, 689, 25094, 1263, 539, 3574, 267, 18969, 267, 543, 824, 2326, 267, 1142, 4062, 6645, 513, 1650, 540, 27265, 543, 16177, 269, 5994, 2348, 1152, 2596, 2645, 543, 17596, 547, 1628, 1945, 6198, 543, 10694, 2336, 273, 269, 4035, 601, 787, 543, 7457, 1559, 281, 4635, 4948, 3615, 899, 1957, 24056, 267, 3106, 20382, 267, 543, 8142, 267, 2043, 18705, 10875, 8405, 331, 2167, 267, 25231, 7410, 267, 543, 4552, 335, 1231, 269, 901, 1826, 540, 11247, 9727, 6909, 13007, 543, 13916, 2094, 2757, 2326, 1522, 711, 723, 1044, 2139, 269, 6056, 827, 1018, 621, 1131, 1491, 547, 2981, 8723, 5604, 7727, 883, 28707, 1148, 2336, 274, 269, 7956, 3796, 281, 3245, 6946, 30927, 547, 7524, 844, 2830, 3270, 267, 19135, 1148, 3177, 4313, 543, 4276, 1369, 2950, 269, 19457, 6272, 267, 4778, 267, 543, 18305, 4847, 1004, 547, 2769, 2933, 1247, 4509, 2686, 5389, 269, 6333, 8888, 707, 1378, 4806, 1759, 593, 2123, 2833, 610, 4664, 2439, 4089, 476, 274, 281, 4045, 532, 3203, 609, 9608, 15881, 2510, 454, 6624, 540, 891, 1688, 8154, 539, 3688, 2097, 10483, 676, 2984, 5143, 676, 2199, 3885, 269, 7335, 20250, 6589, 2337, 3142, 519, 11247, 547, 1272, 543, 2620, 839, 938, 1620, 540, 3140, 2621, 269, 11559, 1053, 547, 1589, 9691, 827, 519, 4296, 1063, 519, 1148, 543, 519, 6386, 1765, 6011, 1281, 835, 3986, 519, 824, 286, 1215, 798, 519, 2984, 948, 2491, 519, 4644, 540, 1978, 1374, 5079, 610, 2326, 1031, 2496, 4089, 476, 275, 281, 16792, 27884, 9828, 3414, 3203, 454, 3086, 602, 649, 4312, 8268, 1585, 1688, 8154, 539, 3688, 543, 741, 18913, 2984, 267, 1577, 781, 2119, 2870, 938, 1378, 3308, 6386, 256, 4841, 666, 3442, 1022, 5420, 630, 9526, 532, 267, 7206, 267, 2458, 720, 264, 547, 6813, 513, 4090, 610, 4743, 689, 513, 6074, 1650, 269, 1879, 2347, 267, 5000, 4901, 1472, 875, 1134, 519, 1148, 27711, 519, 5497, 5048, 543, 7512, 7279, 827, 519, 2796, 3297, 621, 780, 6962, 912, 9209, 5713, 607, 513, 3532, 1907, 585, 9423, 2066, 4529, 543, 942, 5712, 269, 24167, 519, 1688, 8154, 539, 3688, 3812, 1282, 2622, 2782, 4083, 2636, 721, 547, 1732, 1174, 1686, 1247, 19825, 519, 7415, 6043, 543, 5876, 10268, 676, 1346, 2713, 538, 519, 2028, 618, 13122, 269, 1635, 8026, 2147, 9423, 2553, 6000, 267, 649, 2744, 1007, 5380, 543, 1020, 4514, 6568, 2509, 1866, 262, 2833, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 5993, 11812, 540, 6575, 1299, 13492, 1634, 607, 519, 645, 4456, 8121, 4811, 11902, 7644, 2501, 547, 25708, 5617, 4582, 826, 2899, 1586, 689, 5147, 476, 3066, 1107, 476, 4029, 269, 5617, 4582, 826, 12384, 543, 5617, 4582, 826, 8551, 7467, 269, 11016, 1107, 9045, 269, 689, 476, 280, 281, 1789, 600, 1107, 476, 280, 281, 1789, 10975, 543, 6129, 269, 689, 476, 280, 281, 1789, 600, 1107, 476, 277, 10975, 269, 3619, 547, 1517, 4582, 826, 11301, 3820, 585, 3877, 563, 2108, 21652, 18478, 538, 8805, 1107, 1548, 1284, 7948, 1406, 2961, 787, 892, 568, 513, 1895, 1397, 602, 10525, 936, 476, 2568, 3688, 1519, 11647, 267, 14446, 267, 2645, 267, 10367, 267, 13549, 1740, 267, 16150, 9248, 267, 3756, 267, 9162, 543, 31910, 1206, 1107, 782, 1688, 8154, 539, 3688, 1500, 676, 5545, 4892, 1282, 741, 24918, 23948, 566, 269, 2201, 2070, 5147, 476, 277, 1107, 8734, 269, 476, 277, 267, 476, 1001, 277, 7868, 9754, 3081, 602, 1034, 616, 1920, 25752, 5979, 1682, 22666, 689, 1858, 10820, 543, 723, 2760, 1044, 2938, 538, 1857, 269, 6452, 558, 3966, 1221, 676, 10530, 689, 2199, 3885, 269, 2871, 652, 1225, 1807, 8230, 631, 1846, 644, 2967, 571, 14753, 827, 519, 8858, 593, 5147, 476, 1321, 693, 476, 278, 10975, 269, 6519, 5211, 9503, 7467, 538, 589, 889, 1248, 269, 1280, 3877, 1289, 476, 26562, 268, 25971, 268, 278, 6246, 274, 610, 979, 547, 5291, 2517, 342, 337, 341, 332, 5237, 3820, 563, 288, 1895, 1397, 540, 968, 30153, 8381, 23026, 2398, 6493, 892, 568, 593, 2070, 693, 5096, 1749, 517, 11829, 7685, 689, 5147, 476, 278, 1107, 476, 1789, 269, 476, 27123, 12769, 1211, 531, 2997, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 1805, 800, 8346, 9828, 257, 607, 851, 540, 834, 11227, 1315, 27400, 8551, 1315, 4937, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 1626, 281, 4197, 15822, 6732, 5975, 1154, 15107, 13257, 692, 5970, 596, 2479, 4862, 707, 3237, 2911, 827, 11093, 914, 338, 593, 5026, 3756, 610, 824, 2621, 286, 9320, 789, 2811, 7234, 621, 609, 2828, 610, 1920, 2818, 1282, 513, 11018, 269, 1411, 1522, 4898, 1018, 789, 616, 6158, 827, 267, 543, 952, 621, 781, 1945, 596, 1223, 2119, 950, 596, 1332, 909, 269, 1809, 1354, 11362, 883, 519, 1158, 540, 2228, 25919, 5867, 267, 972, 616, 930, 2629, 1919, 596, 991, 547, 917, 269, 2290, 1898, 2460, 568, 4466, 2922, 543, 6325, 7270, 547, 946, 269, 4653, 267, 1577, 781, 2263, 875, 547, 2697, 22973, 2228, 25919, 5867, 1572, 834, 332, 1994, 4609, 2437, 1419, 28484, 607, 14091, 358, 498, 27338, 32510, 478, 424, 480, 361, 27338, 425, 488, 372, 780, 1432, 24439, 513, 11683, 13505, 7981, 2496, 2467, 616, 9118, 2228, 25919, 7270, 630, 21406, 29030, 484, 510, 425, 484, 510, 424, 480, 361, 27338, 425, 488, 372, 264, 856, 972, 267, 855, 1152, 930, 723, 12236, 519, 10639, 540, 1373, 513, 2101, 3135, 269, 1452, 2027, 4609, 1445, 593, 3246, 741, 3755, 609, 1079, 1292, 5383, 910, 10727, 543, 3106, 269, 5994, 2348, 513, 3659, 945, 2141, 8952, 741, 14767, 267, 4249, 4023, 267, 543, 14014, 782, 11580, 3838, 1063, 596, 1312, 269, 2334, 781, 4010, 1018, 513, 2101, 3135, 3091, 256, 1358, 2327, 602, 1004, 1210, 519, 3896, 786, 723, 513, 5812, 1995, 1247, 5329, 3025, 781, 1344, 4357, 543, 5150, 269, 901, 2306, 7446, 513, 2101, 3135, 513, 5100, 1847, 585, 1346, 5461, 538, 3695, 2228, 25919, 780, 3963, 3657, 4039, 6636, 543, 8881, 12830, 2496, 9824, 6636, 1797, 602, 519, 3896, 3252, 12347, 543, 9846, 1169, 942, 2576, 11564, 621, 269, 20305, 4465, 1405, 7237, 6397, 6959, 610, 2152, 7303, 873, 689, 17034, 519, 2533, 3177, 676, 519, 2101, 3135, 269, 3958, 267, 1022, 8852, 1500, 998, 519, 3760, 616, 9268, 3533, 543, 8308, 269, 1280, 3236, 267, 4952, 9140, 21797, 693, 606, 31768, 6288, 282, 596, 1616, 547, 581, 2386, 602, 1142, 18351, 1568, 7157, 267, 1318, 286, 898, 1131, 25010, 707, 1554, 952, 596, 1336, 856, 28870, 998, 602, 9039, 540, 707, 21797, 941, 4570, 256, 6684, 267, 513, 6325, 2228, 25919, 3760, 5849, 5347, 4238, 865, 3755, 666, 2972, 741, 2833, 1510, 17140, 780, 32552, 568, 1776, 2565, 3815, 1317, 1100, 835, 6499, 741, 2123, 3877, 6534, 610, 3765, 4310, 269, 1879, 9683, 513, 2101, 3135, 267, 1964, 21407, 6616, 602, 707, 1239, 3788, 14804, 269, 3807, 899, 9849, 513, 24743, 1247, 31610, 2337, 1832, 596, 6870, 267, 1210, 513, 2101, 3135, 28863, 6213, 1344, 971, 607, 707, 2012, 267, 2232, 267, 4757, 267, 543, 8569, 2409, 269, 1924, 267, 1589, 540, 513, 2101, 3135, 607, 513, 3059, 24743, 585, 2228, 25919, 2238, 2439, 1692, 2052, 594, 25506, 513, 7638, 1881, 11683, 13505, 2496, 19723, 4328, 2436, 513, 3135, 568, 8197, 513, 16048, 2101, 3135, 3322, 3168, 585, 1808, 4191, 269, 17616, 267, 2638, 952, 519, 3135, 814, 606, 4013, 12689, 689, 513, 18019, 2229, 8116, 610, 9431, 1560, 269, 6056, 540, 713, 607, 10992, 585, 24501, 10268, 3544, 4213, 899, 14060, 610, 15945, 269, 1403, 519, 2101, 3135, 10525, 922, 12689, 23217, 267, 1287, 621, 9727, 11413, 543, 7029, 547, 1739, 3652, 543, 6042, 269, 19627, 267, 1224, 8039, 689, 824, 3755, 945, 723, 4810, 519, 3135, 20250, 269, 1635, 3257, 865, 267, 596, 1205, 3407, 4030, 689, 1483, 1004, 4687, 741, 8369, 1759, 593, 4890, 4205, 609, 519, 2101, 3135, 780, 3086, 602, 596, 1174, 1946, 10727, 543, 3106, 2339, 950, 621, 2501, 547, 2228, 25919, 5867, 267, 3314, 938, 1007, 2165, 281, 2101, 3135, 630, 528, 14091, 358, 498, 27338, 32510, 478, 424, 480, 361, 27338, 425, 488, 372, 1040, 5901, 891, 1271, 2609, 538, 2247, 607, 596, 1451, 811, 827, 519, 4241, 1158, 540, 2228, 25919, 1107, 1175, 1810, 1405, 7340, 602, 1620, 2085, 9993, 543, 3743, 11080, 2853, 2097, 1688, 2987, 11804, 609, 11981, 891, 2238, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 24281, 519, 7706, 540, 2228, 25919, 543, 29030, 484, 510, 425, 484, 510, 424, 480, 361, 27338, 425, 488, 372, 267, 10188, 519, 4262, 540, 3681, 547, 1265, 513, 22973, 543, 5150, 3760, 666, 581, 606, 20089, 269, 9373, 14091, 358, 498, 27338, 32510, 478, 424, 480, 361, 27338, 425, 488, 372, 267, 849, 1634, 607, 2101, 4609, 267, 799, 2709, 606, 5044, 540, 2640, 602, 1305, 873, 6306, 689, 824, 29030, 484, 510, 425, 484, 510, 424, 480, 361, 27338, 425, 488, 372, 5079, 269, 769, 713, 3102, 3391, 267, 649, 5490, 883, 519, 1883, 2188, 602, 1118, 8939, 513, 14091, 358, 498, 27338, 32510, 478, 424, 480, 361, 27338, 425, 488, 372, 513, 7580, 3375, 585, 4896, 5275, 513, 15774, 543, 11791, 2228, 25919, 3460, 563, 4462, 557, 4979, 519, 22436, 540, 8838, 532, 585, 513, 14091, 358, 498, 27338, 32510, 478, 424, 480, 361, 27338, 425, 488, 372, 27933, 560, 29030, 484, 510, 425, 484, 510, 424, 480, 361, 27338, 425, 488, 372, 454, 2691, 621, 2501, 547, 519, 1158, 540, 2228, 14091, 358, 498, 27338, 32510, 478, 424, 480, 361, 27338, 425, 488, 372, 25919, 267, 1978, 10305, 1831, 14063, 538, 519, 5542, 1184, 269, 589, 14091, 358, 498, 27338, 32510, 478, 424, 480, 361, 27338, 425, 488, 372, 6799, 606, 25819, 540, 26350, 602, 1118, 621, 513, 1796, 719, 3903, 1851, 519, 16221, 29030, 484, 510, 425, 484, 510, 424, 480, 361, 27338, 425, 488, 372, 8925, 269, 2913, 779, 5490, 883, 891, 4128, 538, 3178, 912, 293, 21682, 593, 4039, 6636, 543, 8881, 454, 3080, 540, 519, 4295, 9342, 540, 9001, 513, 14091, 358, 498, 27338, 32510, 478, 424, 480, 361, 27338, 425, 488, 372, 6013, 538, 922, 26772, 8561, 593, 10727, 543, 3106, 269, 589, 20240, 29030, 484, 510, 425, 484, 510, 424, 480, 361, 27338, 425, 488, 372, 267, 1519, 14091, 358, 498, 27338, 32510, 478, 424, 480, 361, 27338, 425, 488, 372, 267, 6585, 606, 4013, 12689, 689, 513, 2229, 8116, 610, 9431, 11110, 2237, 606, 2502 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2704, 26891, 25966, 32255, 13082, 281, 23531, 543, 16544, 454, 2704, 26891, 568, 513, 17426, 4496, 609, 513, 1970, 5860, 543, 5140, 14809, 4187, 269, 898, 568, 3810, 544, 4150, 762, 543, 13811, 850, 267, 3850, 621, 547, 581, 3362, 8032, 883, 1114, 3029, 269, 6736, 922, 17426, 2470, 267, 11956, 814, 1434, 4222, 3562, 27954, 5223, 267, 1818, 621, 5078, 585, 3156, 1141, 2597, 5786, 568, 2629, 563, 306, 1555, 1652, 5374, 267, 593, 519, 824, 1688, 267, 568, 606, 18585, 7768, 540, 4401, 267, 26388, 267, 543, 824, 2609, 269, 898, 568, 1634, 585, 922, 11108, 4222, 267, 15006, 267, 543, 4187, 547, 14809, 543, 28969, 269, 32255, 5374, 2501, 538, 1585, 9344, 267, 1142, 609, 922, 1378, 2189, 3601, 267, 971, 607, 2799, 4187, 547, 3002, 610, 4824, 7344, 4222, 563, 2704, 26891, 25966, 32255, 13082, 281, 23848, 543, 667, 13701, 454, 4407, 11956, 568, 17426, 267, 621, 568, 711, 607, 2178, 607, 16243, 5374, 269, 4706, 2539, 28995, 4222, 2306, 621, 811, 12155, 547, 22636, 610, 7293, 5821, 896, 5230, 13907, 269, 1717, 267, 11956, 23212, 666, 581, 22541, 998, 3157, 899, 3002, 2126, 610, 18585, 532, 609, 824, 8407, 563, 306, 1555, 1652, 5374, 568, 3648, 6793, 543, 811, 14463, 982, 11956, 269, 898, 814, 2362, 28995, 4222, 267, 3850, 621, 547, 16641, 5230, 13907, 1510, 632, 14127, 269, 901, 4222, 2306, 16243, 5374, 5078, 585, 3156, 602, 2154, 7347, 1145, 543, 4187, 547, 5957, 543, 15237, 563, 2704, 26891, 25966, 32255, 13082, 281, 4856, 12509, 18650, 454, 2704, 26891, 814, 5140, 14809, 4187, 1813, 547, 922, 2067, 12547, 4494, 267, 799, 3029, 950, 6534, 547, 2011, 269, 1717, 267, 621, 568, 11630, 547, 1978, 2010, 540, 14809, 267, 971, 607, 8486, 1154, 14809, 538, 29649, 5054, 269, 1677, 3986, 922, 14809, 4187, 267, 11956, 666, 581, 606, 617, 1242, 610, 22862, 609, 8825, 6106, 563, 306, 1555, 1652, 5374, 568, 12021, 585, 922, 11108, 4187, 547, 14809, 269, 634, 4527, 540, 26388, 538, 16243, 5374, 3029, 513, 12809, 12547, 4494, 602, 14014, 519, 5817, 4496, 689, 14809, 269, 901, 3959, 2306, 16243, 5374, 4998, 585, 3156, 1141, 4598, 547, 7509, 610, 1351, 4592, 633, 6878, 568, 11342, 563, 2704, 26891, 25966, 32255, 13082, 281, 13335, 454, 6011, 547, 2995, 519, 3017, 1063, 11956, 543, 16243, 5374, 888, 2414, 2995, 519, 3017, 1063, 11956, 543, 16243, 5374, 267, 596, 666, 2015, 519, 1739, 4162, 912, 2704, 26891, 281, 1325, 26891, 814, 513, 1769, 8988, 610, 12457, 2681, 543, 513, 5594, 20585, 610, 1319, 974, 9096, 269, 898, 1419, 814, 513, 23704, 2627, 9403, 3379, 547, 16243, 5374, 563, 306, 1555, 1652, 13082, 281, 32255, 5374, 814, 513, 17321, 543, 695, 514, 1512, 5920, 982, 11956, 269, 898, 814, 513, 14436, 2627, 609, 513, 25509, 610, 1490, 19813, 9096, 269, 32255, 5374, 949, 723, 513, 5594, 5835, 880, 512, 842, 610, 513, 12457, 2681, 267, 4470, 593, 519, 1808, 18585, 563, 2704, 26891, 281, 1325, 26891, 568, 3648, 14402, 982, 16243, 5374, 269, 1403, 596, 723, 1079, 3615, 540, 519, 1482, 2450, 267, 519, 835, 1500, 540, 11956, 786, 1745, 1454, 14402, 950, 24850, 563, 306, 1555, 1652, 13082, 281, 32255, 5374, 568, 16437, 518, 543, 18219, 982, 11956, 269, 27014, 1500, 540, 16243, 5374, 786, 1745, 811, 8101, 543, 723, 513, 18476, 2597, 950, 3379, 547, 11956, 563, 2704, 26891, 281, 1325, 26891, 568, 1875, 2173, 8568, 267, 799, 1797, 621, 1281, 711, 4482, 22197, 269, 1403, 513, 11275, 1281, 711, 6529, 547, 519, 4496, 267, 621, 568, 2693, 547, 581, 11956, 563, 306, 1555, 1652, 13082, 281, 4107, 16243, 2848, 1564, 616, 849, 1875, 2173, 8568, 267, 855, 972, 616, 930, 17756, 269, 2368, 16243, 5374, 23212, 723, 6419, 3601, 267, 799, 1797, 513, 11275, 949, 6529, 547, 519, 4496, 2627, 269, 1403, 513, 11275, 16853, 267, 621, 1223, 581, 16243, 5374, 267, 855, 2417, 4152, 949, 581, 2877, 547, 6166, 563, 2704, 26891, 281, 1325, 26891, 814, 513, 2067, 12547, 4494, 602, 3029, 950, 6534, 547, 2011, 267, 3246, 1434, 14809, 4187, 269, 1717, 267, 621, 666, 1869, 30599, 1372, 538, 1978, 2175, 267, 2523, 538, 29649, 5054, 610, 950, 538, 3346, 609, 15755, 6878, 563, 306, 1555, 1652, 13082, 281, 32255, 5374, 568, 3810, 11259, 547, 14809, 1813, 547, 519, 4527, 540, 26388, 267, 799, 3029, 513, 8825, 12547, 4494, 593, 519, 2627, 269, 32255, 5374, 666, 16641, 4598, 547, 7509, 267, 6464, 267, 543, 1351, 4592, 633, 5054, 1732, 982, 11956, 563, 2704, 26891, 281, 1325, 26891, 568, 513, 5266, 2571, 4496, 3379, 547, 16243, 5374, 269, 898, 814, 2539, 28995, 4222, 543, 568, 811, 12155, 547, 22636, 610, 19755, 896, 5230, 13907, 563, 306, 1555, 1652, 13082, 281, 32255, 5374, 568, 1454, 6793, 543, 814, 2362, 28995, 4222, 982, 11956, 269, 898, 666, 16641, 3152, 13907, 543, 568, 811, 11259, 547, 22636, 610, 19755, 563, 2704, 26891, 281, 1325, 26891, 568, 606, 5140, 18364, 540, 3002, 543, 5201, 269, 898, 568, 4922, 1031, 538, 3156, 1141, 8143, 610, 5122, 19428, 568, 1898, 267, 971, 607, 538, 5122, 12904, 610, 3002, 29826, 563, 306, 1555, 1652, 13082, 281, 32255, 5374, 814, 2539, 8143, 543, 5122, 19428, 3379, 547, 11956, 269, 898, 568, 711, 607, 3608, 538, 10647, 3002, 610, 5201, 563, 3528, 6236, 891, 2188, 267, 1519, 5920, 267, 2597, 267, 6419, 3601, 267, 14809, 4187, 267, 4222, 267, 543, 19428, 267, 596, 666, 16174, 1063, 11956, 543, 16243, 5374, 563, 1103, 3932, 267, 11956, 543, 16243, 5374, 616, 1079, 3982, 8407, 609, 1114, 3601, 543, 3156, 269, 1325, 26891, 568, 17426, 543, 14809, 15033, 267, 1247, 16243, 5374, 568, 6793, 267, 811, 14463, 267, 543, 3810, 11259, 547, 14809, 269, 634, 3903, 1063, 11956, 543, 16243, 5374, 5673, 593, 519, 1808, 4170, 540, 519, 3498, 267, 6236, 2188, 971, 607, 2597, 267, 4222, 267, 543, 2825, 2175, 269, 5637, 8407, 723, 741, 2189, 5383, 267, 543, 1620, 741, 3601, 2337, 538, 8939, 519, 3617, 1570, 585, 513, 2016, 1788, 269, 0, 763, 991, 585, 513, 3102, 543, 6325, 538, 20117, 22289, 630, 4353, 293, 264, 5650, 3357, 883, 519, 30425, 950, 513, 16156, 2861, 6413, 729, 535, 1441, 19238, 373, 272, 269, 276, 5186, 516, 585, 513, 14203, 3575, 5346, 269, 634, 10071, 3238, 519, 6413, 7900, 10001, 293, 585, 513, 7008, 689, 5754, 1457, 21171, 855, 1210, 20033, 5033, 523, 602, 1705, 711, 4866, 547, 519, 9393, 269, 634, 2817, 19901, 2598, 1584, 525, 4414, 816, 531, 8189, 630, 301, 7374, 13612, 264, 13684, 519, 5386, 593, 519, 6413, 1813, 547, 32226, 543, 30907, 2853, 563, 4353, 293, 568, 513, 1826, 540, 19443, 10285, 2029, 630, 11286, 264, 6322, 693, 5466, 26983, 269, 898, 3322, 1585, 2564, 5773, 267, 1519, 519, 23023, 540, 5798, 689, 30124, 267, 519, 8261, 4999, 540, 5798, 543, 14203, 538, 513, 8047, 585, 22289, 267, 543, 519, 13307, 540, 519, 4611, 21872, 3330, 519, 19786, 269, 26579, 4386, 950, 519, 21872, 6707, 18032, 883, 519, 29897, 3774, 563, 19119, 540, 10001, 293, 454, 4353, 293, 3091, 1896, 2640, 538, 8156, 1585, 2010, 540, 26983, 269, 898, 666, 948, 2043, 609, 17808, 610, 8697, 2887, 26508, 13740, 267, 5256, 3815, 26983, 630, 7945, 607, 8519, 14203, 1293, 610, 2138, 1006, 1070, 2021, 609, 28284, 4713, 267, 16349, 25073, 5821, 267, 29897, 4017, 28281, 267, 610, 6569, 2887, 26508, 13740, 269, 898, 568, 849, 606, 4781, 585, 2043, 609, 513, 4719, 4524, 543, 15185, 7680, 32584, 26983, 563, 29936, 540, 10001, 293, 454, 4407, 10001, 293, 2488, 513, 14323, 3070, 585, 26983, 267, 621, 568, 711, 1510, 2591, 269, 2290, 4161, 568, 519, 2799, 1981, 540, 2789, 24570, 952, 811, 982, 835, 21872, 568, 5579, 5896, 1282, 519, 5650, 269, 901, 666, 1291, 547, 8374, 543, 2154, 3606, 2564, 6304, 269, 10677, 15100, 328, 848, 343, 12304, 14492, 454, 4353, 293, 568, 849, 2404, 609, 513, 13581, 2333, 538, 519, 1981, 540, 16349, 6765, 543, 1970, 4332, 2597, 3379, 547, 2067, 17748, 269, 29191, 4115, 15214, 560, 574, 1637, 15540, 630, 302, 9391, 264, 568, 1776, 1761, 4161, 267, 1141, 519, 946, 540, 7630, 762, 12680, 5061, 666, 2014, 519, 30124, 547, 1831, 22224, 543, 11213, 563, 300, 4593, 541, 5846, 3928, 609, 10001, 293, 616, 2147, 547, 1346, 540, 2067, 17748, 267, 8151, 689, 476, 1428, 547, 476, 1839, 2600, 269, 1717, 267, 519, 1981, 540, 31761, 4679, 609, 14774, 2085, 269, 3958, 267, 18460, 10001, 293, 666, 581, 20019, 267, 9308, 267, 543, 14156, 1951, 1456, 267, 799, 949, 3565, 547, 2799, 2566, 2157, 585, 2043, 543, 15185, 563, 13233, 19901, 2598, 1584, 525, 4414, 816, 531, 8189, 630, 301, 7374, 13612, 994, 763, 2817, 19901, 2598, 1584, 525, 4414, 816, 531, 8189, 630, 301, 7374, 13612, 264, 729, 3964, 538, 476, 2735, 279, 543, 568, 2212, 32483, 1229, 538, 1715, 16156, 267, 3127, 269, 898, 13333, 607, 513, 29610, 268, 9080, 2772, 10243, 543, 729, 1305, 909, 896, 519, 19901, 10466, 2920, 540, 476, 2735, 277, 563, 763, 10243, 568, 18188, 676, 513, 9361, 610, 19622, 9794, 540, 519, 10966, 7040, 540, 3127, 267, 4180, 519, 4023, 543, 31717, 7755, 644, 1709, 540, 7082, 13882, 269, 634, 3119, 6662, 540, 519, 715, 7374, 13612, 568, 547, 1683, 513, 3760, 585, 6800, 547, 3343, 2699, 816, 531, 585, 741, 20494, 341, 1734, 543, 2327, 602, 741, 2924, 616, 6870, 563, 763, 19901, 10466, 2920, 849, 31433, 519, 10661, 540, 19901, 10466, 6076, 15078, 693, 519, 3844, 543, 1533, 2157, 269, 634, 6239, 7027, 568, 18188, 676, 519, 10579, 769, 7302, 1618, 540, 519, 4972, 540, 19901, 16457, 538, 519, 6239, 6554, 269, 6684, 267, 1142, 1533, 814, 922, 1378, 3557, 7027, 267, 18188, 676, 519, 10579, 769, 7302, 1618, 540, 19901, 16457, 538, 519, 9757, 3557, 6554, 269, 10677, 15100, 328, 848, 343, 12304, 14492, 454, 763, 715, 7374, 13612, 3252, 1369, 513, 1614, 2389, 1512, 2497, 267, 799, 2882, 519, 2817, 8189, 267, 3557, 2155, 3827, 267, 543, 10588, 2155, 3827, 269, 1452, 4703, 960, 1927, 547, 2232, 7082, 20494, 341, 1734, 267, 1683, 13180, 950, 2556, 267, 543, 3895, 7082, 4656, 998, 741, 2238, 543, 7341, 269, 0, 21761, 18542, 5999, 454, 8170, 782, 519, 1390, 18563, 538, 519, 1158, 267, 519, 8798, 540, 519, 8228, 2046, 676, 4436, 23266, 2977, 534, 612, 717, 9790, 6199, 1472, 476, 16960, 277, 5084, 568, 835, 540, 519, 1655, 2479, 269, 6969, 713, 8798, 267, 2835, 941, 1688, 25740, 267, 6923, 789, 941, 2139, 538, 1360, 1447, 2338, 269, 634, 4417, 540, 519, 8228, 2046, 5921, 602, 2835, 1131, 581, 2139, 547, 811, 1297, 540, 1004, 269, 3683, 519, 5553, 621, 814, 1831, 606, 17170, 3926, 585, 10825, 3377, 543, 1702, 782, 2066, 519, 1158, 563, 288, 8228, 2046, 568, 513, 3926, 799, 568, 1031, 585, 8228, 2592, 543, 1257, 593, 1957, 610, 824, 2326, 971, 607, 3377, 2745, 269, 634, 8228, 2046, 814, 19117, 519, 1259, 538, 799, 1433, 267, 11356, 543, 824, 9102, 2326, 616, 3812, 543, 3914, 856, 547, 519, 1857, 2484, 543, 2647, 269, 634, 3926, 814, 2097, 513, 1279, 1259, 689, 717, 9790, 6199, 779, 8228, 2046, 547, 519, 1533, 540, 519, 1148, 3059, 2046, 799, 568, 1031, 2221, 563, 288, 8228, 2046, 1568, 676, 22151, 13504, 689, 513, 8228, 6676, 547, 1957, 610, 971, 1570, 269, 634, 8228, 6676, 568, 1500, 540, 4496, 543, 814, 519, 1257, 610, 2592, 799, 616, 547, 581, 9102, 269, 769, 330, 568, 4294, 547, 713, 6676, 543, 1287, 519, 6676, 568, 20399, 1996, 519, 1957, 269, 901, 3762, 513, 9102, 3239, 593, 519, 1957, 269, 6270, 513, 8228, 2046, 7472, 5215, 540, 12215, 540, 513, 2582, 2985, 538, 513, 2110, 1974, 540, 942, 267, 799, 2306, 621, 606, 3608, 1259, 540, 6721, 9102, 2326, 563, 7468, 26262, 616, 3457, 799, 666, 3132, 9102, 2326, 689, 3059, 6119, 2047, 269, 2290, 666, 1265, 1082, 2010, 540, 23252, 899, 476, 274, 291, 23252, 267, 13504, 27826, 23252, 543, 8955, 23252, 563, 7468, 26262, 616, 1031, 585, 17655, 543, 25718, 267, 543, 616, 1031, 585, 1312, 13646, 610, 693, 5321, 269, 1358, 7363, 723, 476, 274, 1292, 3252, 267, 799, 616, 1820, 267, 11571, 543, 5299, 269, 2290, 666, 4558, 741, 6054, 538, 513, 3059, 1106, 609, 971, 2029, 269, 1358, 616, 849, 1031, 585, 3478, 519, 1820, 719, 540, 6054, 899, 547, 5965, 3785, 538, 3506, 543, 12621, 563, 5804, 513, 3318 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 581, 8799, 547, 917, 1018, 3025, 568, 3743, 585, 543, 1018, 5540, 689, 645, 8324, 1040, 4475, 267, 1034, 7199, 4552, 1416, 2472, 2270, 8324, 689, 519, 645, 10687, 14658, 563, 3719, 607, 1082, 2021, 723, 2938, 267, 621, 1281, 711, 2141, 1118, 2631, 547, 2628, 585, 513, 7678, 344, 2012, 676, 9140, 6216, 539, 31576, 30139, 267, 13968, 543, 2545, 916, 269, 1411, 666, 10446, 5965, 606, 2500, 25167, 4552, 1416, 1587, 269, 634, 15864, 1259, 568, 547, 1039, 6171, 645, 630, 514, 519, 1106, 540, 513, 3070, 610, 8869, 264, 547, 513, 14949, 31576, 5622, 563, 2414, 5965, 713, 2500, 4552, 1587, 267, 596, 786, 991, 513, 3490, 543, 513, 1305, 540, 8324, 269, 7102, 630, 16838, 519, 10464, 652, 264, 4552, 30690, 568, 3501, 607, 513, 3490, 269, 769, 476, 2004, 10101, 540, 519, 1587, 267, 1039, 476, 272, 18041, 537, 548, 540, 645, 272, 267, 645, 273, 267, 645, 274, 267, 645, 277, 543, 645, 1321, 269, 17186, 3388, 8499, 269, 1403, 5551, 267, 513, 2370, 620, 4141, 10433, 666, 581, 23953, 883, 519, 7848, 269, 15233, 585, 476, 1015, 268, 1428, 3764, 476, 272, 268, 273, 2053, 513, 3018, 269, 1325, 2819, 1310, 1896, 5773, 267, 519, 4552, 786, 10536, 513, 4190, 19542, 267, 3623, 5652, 5347, 1145, 543, 513, 2635, 1413, 269, 8555, 1407, 1973, 10009, 538, 519, 21435, 563, 19119, 585, 519, 2960, 454, 763, 1950, 540, 645, 28175, 560, 1734, 711, 1152, 3339, 3278, 10894, 3157, 538, 519, 28603, 529, 267, 855, 849, 14014, 621, 689, 8666, 1645, 3361, 676, 3141, 14315, 267, 1159, 2393, 1127, 32060, 267, 5848, 584, 3278, 543, 9395, 839, 10172, 2960, 267, 1964, 2803, 922, 22786, 267, 17212, 1407, 18383, 543, 6553, 563, 24791, 645, 25167, 3068, 1212, 4461, 616, 1769, 538, 9403, 267, 1875, 3766, 516, 6470, 267, 855, 12155, 547, 4028, 16617, 269, 4475, 267, 538, 1931, 547, 8190, 519, 5888, 540, 519, 1587, 267, 621, 568, 1271, 547, 2141, 17401, 2673, 519, 19984, 593, 519, 20220, 267, 2149, 689, 4598, 547, 7943, 563, 5278, 645, 29931, 4461, 6336, 741, 3601, 1310, 1896, 3108, 540, 16789, 4859, 269, 1684, 711, 1832, 519, 8645, 593, 519, 15808, 538, 519, 19880, 269, 898, 568, 1732, 547, 3442, 513, 5671, 518, 543, 711, 865, 3905, 1747, 269, 19630, 958, 910, 519, 7450, 540, 519, 21067, 563, 289, 8686, 9559, 10276, 878, 1117, 1795, 10118, 616, 2653, 547, 1118, 693, 1753, 543, 3132, 18476, 2164, 563, 31800, 770, 3068, 9633, 454, 31800, 770, 568, 1634, 547, 581, 513, 16185, 602, 814, 513, 1164, 1543, 540, 6171, 645, 269, 1656, 621, 568, 713, 1587, 602, 568, 1031, 538, 607, 606, 2500, 23815, 1587, 585, 2021, 782, 936, 519, 1158, 269, 2991, 513, 1576, 540, 13803, 13968, 267, 519, 2960, 3587, 23704, 267, 29779, 543, 811, 19872, 563, 300, 1460, 13803, 543, 5144, 269, 5410, 4195, 22648, 10433, 543, 513, 2370, 3819, 32420, 630, 514, 8869, 264, 547, 519, 4611, 7848, 269, 17186, 519, 7848, 8499, 269, 1411, 1058, 1205, 27615, 601, 630, 3697, 5394, 11877, 8645, 1040, 10925, 519, 20220, 609, 519, 8737, 1587, 538, 3905, 1216, 543, 7227, 2394, 621, 13352, 269, 15233, 519, 6219, 593, 519, 2960, 540, 519, 3068, 543, 4734, 585, 476, 1015, 3764, 269, 25169, 1055, 609, 3636, 1216, 269, 5502, 540, 13479, 267, 596, 666, 1039, 476, 272, 512, 4944, 269, 9932, 563, 300, 1460, 476, 273, 26486, 540, 13803, 630, 32191, 476, 736, 10101, 264, 609, 11877, 8645, 269, 5410, 513, 1906, 12772, 540, 11993, 10433, 543, 3819, 32314, 32420, 547, 713, 27615, 601, 269, 15233, 519, 7848, 547, 519, 3068, 543, 4734, 585, 476, 1428, 3764, 269, 769, 1840, 547, 9422, 3601, 267, 713, 9633, 814, 513, 6505, 2287, 1198, 910, 621, 23352, 2085, 9634, 543, 1954, 1188, 956, 563, 15933, 338, 3638, 538, 6171, 645, 454, 288, 1134, 27059, 10624, 568, 513, 10018, 602, 596, 543, 707, 1920, 786, 4309, 519, 2407, 1950, 540, 645, 8686, 527, 7530, 1169, 1554, 269, 589, 3349, 609, 8286, 16516, 585, 519, 3018, 786, 7520, 519, 4058, 540, 519, 3232, 2732, 269, 12989, 649, 2709, 1896, 10346, 23353, 609, 645, 28175, 560, 1734, 543, 824, 6225, 10250, 2609, 563, 294, 3433, 17436, 593, 513, 21432, 1989, 831, 267, 12403, 513, 2370, 538, 7423, 267, 1039, 29656, 22872, 16719, 269, 4425, 559, 14132, 610, 9269, 6797, 585, 513, 2110, 942, 630, 21671, 2394, 519, 11909, 2681, 7106, 8986, 1040, 10426, 519, 5423, 6797, 543, 5388, 7466, 998, 513, 5779, 32291, 269, 5410, 2182, 28967, 6150, 4212, 586, 13083, 543, 513, 2370, 7423, 269, 17186, 3388, 8499, 2394, 513, 24267, 2527, 568, 4646, 563, 2791, 786, 991, 281, 513, 20105, 540, 3043, 3694, 267, 7423, 267, 9268, 10381, 267, 10448, 26185, 267, 6151, 4212, 267, 16719, 563, 2414, 770, 513, 12765, 1229, 20105, 540, 3694, 2394, 12933, 344, 269, 10925, 513, 20105, 540, 24268, 10381, 593, 519, 3694, 543, 3382, 519, 3443, 609, 513, 19984, 269, 15566, 31068, 2394, 10381, 568, 24268, 269, 10925, 519, 8737, 3694, 593, 519, 5377, 540, 519, 17339, 6676, 267, 2322, 513, 6151, 4212, 593, 1283, 543, 13248, 14495, 26185, 936, 3388, 269, 5410, 16719, 563, 2690, 5986, 267, 596, 786, 991, 513, 11013, 540, 5779, 543, 930, 14132, 14401, 630, 528, 9269, 1055, 531, 1070, 513, 7008, 540, 4584, 956, 267, 19637, 267, 12277, 267, 930, 10448, 11041, 267, 11922, 267, 13767, 2044, 563, 289, 11798, 519, 26185, 689, 5779, 543, 1055, 531, 630, 4777, 711, 7340, 547, 8963, 519, 1101, 1216, 5612, 1310, 14495, 1040, 3212, 601, 519, 10448, 5072, 267, 14299, 543, 26650, 538, 3282, 269, 5410, 547, 2269, 1441, 26185, 269, 12338, 31480, 543, 12277, 543, 849, 1039, 547, 519, 3443, 269, 4425, 559, 3388, 1927, 585, 827, 3368, 606, 5662, 269, 5410, 29475, 1490, 710, 543, 11922, 269, 31160, 609, 5779, 543, 1055, 531, 630, 330, 573, 7958, 1916, 293, 880, 18798, 666, 1118, 4584, 548, 609, 3165, 26185, 563, 2419, 1157, 523, 20061, 609, 10381, 543, 22156, 454, 306, 5306, 543, 14723, 22156, 267, 3575, 609, 29656, 1989, 730, 10381, 269, 10925, 519, 5423, 7848, 593, 513, 20105, 540, 9269, 2083, 2280, 269, 24305, 909, 269, 654, 1905, 519, 20061, 609, 17446, 540, 6094, 569, 30000, 8423, 269, 654, 1905, 538, 513, 6656, 540, 23240, 269, 645, 820, 538, 519, 14089, 563, 298, 573, 7958, 538, 11877, 8645, 454, 2791, 786, 991, 513, 11304, 540, 14401, 267, 17436, 267, 2490, 2354, 267, 12277, 267, 4584, 956, 267, 11877, 8645, 267, 16603, 13594, 267, 13342, 267, 14546, 563, 3383, 752, 519, 14401, 538, 4411, 1216, 543, 14974, 267, 20170, 547, 519, 4066, 585, 8600, 713, 676, 1790, 6055, 269, 27973, 8459, 2759, 543, 26650, 269, 12338, 12277, 543, 17436, 883, 18695, 267, 2322, 538, 513, 14036, 3966, 267, 1039, 14401, 267, 13248, 11877, 8645, 936, 3388, 543, 31652, 269, 5410, 13342, 267, 14546, 267, 16603, 13594, 267, 22872, 4584, 956, 563, 21156, 540, 606, 1310, 5320, 454, 1432, 568, 1271, 547, 3314, 827, 6171, 645, 912, 268, 15240, 1734, 540, 519, 645, 31228, 616, 476, 279, 1216, 30320, 8324, 1898, 585, 1585, 10894, 3157, 563, 268, 4107, 540, 519, 8324, 616, 711, 6740, 538, 519, 1560, 585, 513, 1279, 942, 267, 865, 621, 568, 1271, 547, 25579, 880, 519, 3761, 3232, 689, 1426, 563, 268, 15850, 14906, 619, 5176, 782, 645, 8324, 538, 6016, 762, 563, 268, 1684, 711, 1582, 26817, 1725, 846, 3834, 334, 268, 610, 10874, 9200, 328, 563, 268, 4014, 519, 645, 8324, 616, 3989, 607, 513, 2582, 1950, 267, 1142, 540, 873, 814, 922, 1378, 2189, 1909, 538, 519, 1560, 267, 865, 621, 568, 1271, 547, 1205, 519, 1318, 9570, 540, 1142, 540, 891, 5216, 6878, 269, 0, 17457, 2372, 976, 564, 670, 583, 23467, 269, 634, 968, 335, 892, 2203, 568, 519, 2511, 1034, 4122, 2938, 538, 946, 607, 513, 25880, 267, 13186, 610, 585, 844, 976, 564, 554, 583, 5321, 269, 2372, 976, 564, 554, 583, 4214, 538, 519, 7005, 25865, 4265, 8675, 585, 6267, 267, 844, 976, 564, 554, 583, 2495, 630, 844, 976, 564, 554, 7491, 12683, 3738, 513, 844, 976, 564, 554, 583, 568, 513, 563, 763, 2413, 1374, 540, 519, 2413, 844, 976, 564, 2777, 568, 1312, 922, 9703, 543, 16538, 269, 2372, 976, 564, 554, 583, 1031, 5374, 9212, 602, 616, 1351, 2607, 730, 585, 922, 5011, 269, 18738, 519, 844, 976, 564, 554, 583, 972, 1131, 581, 13471, 267, 3574, 6989, 267, 543, 3574, 16298, 563, 5226, 976, 564, 670, 583, 29844, 3657, 590, 2438, 1844, 983, 13082, 29844, 2334, 3657, 667, 9092, 267, 32285, 267, 1656, 12411, 8684, 563, 5226, 976, 564, 554, 583, 1031, 5374, 9212, 602, 616, 1351, 2607, 730, 585, 922, 5011, 269, 634, 2777, 8188, 1813, 7178, 267, 2509, 513, 1360, 10058, 3168, 7823, 538, 519, 269, 5213, 1406, 581, 8945, 539, 676, 519, 946, 540, 968, 5471, 531, 2223, 2094, 519, 1843, 568, 17426, 267, 2653, 547, 3560, 267, 543, 2653, 547, 10198, 563, 1607, 8490, 2052, 5776, 2201, 16140, 2334, 13201, 8381, 4469, 3233, 267, 2201, 15815, 902, 267, 1656, 2201, 22493, 563, 763, 751, 343, 553, 844, 976, 564, 554, 583, 7535, 2777, 729, 9112, 538, 476, 1001, 278, 543, 6039, 607, 519, 1292, 15335, 540, 519, 5411, 945, 20827, 922, 2679, 269, 1809, 596, 849, 666, 723, 519, 3677, 835, 267, 6027, 909, 547, 476, 2412, 676, 476, 1911, 3952, 630, 12671, 476, 1321, 332, 1535, 476, 1911, 332, 1040, 634, 968, 335, 892, 2203, 568, 519, 2511, 1034, 4122, 2938, 538, 946, 607, 513, 25880, 267, 13186, 610, 585, 844, 976, 564, 554, 583, 5321, 563, 20578, 2372, 976, 564, 670, 7491, 28161, 30310, 14970, 270, 13480, 28805, 267, 589, 652, 24312, 1656, 9577, 958, 20710, 3101, 589, 27079, 9737, 11633, 1656, 1763, 7808, 2098, 11238, 769, 589, 19866, 27199, 4011, 3125, 563, 26589, 609, 1373, 1648, 3608, 267, 713, 1753, 568, 4998, 585, 19278, 543, 814, 7899, 540, 2230, 585, 14538, 269, 6736, 713, 8112, 267, 519, 844, 976, 564, 554, 583, 5321, 3902, 609, 713, 2497, 568, 3833, 8013, 269, 1452, 2395, 685, 844, 976, 564, 554, 583, 5321, 1570, 568, 13856, 676, 1351, 2607, 730, 27647, 1242, 5374, 602, 7472, 513, 5276, 9240, 3437, 4806, 563, 22102, 1677, 23839, 2372, 976, 564, 670, 583, 31245, 6168, 1269, 272, 267, 4335, 1677, 1269, 1428, 267, 1822, 3248, 6546, 4137, 568, 1510, 10380, 543, 5748, 269, 901, 2306, 621, 606, 5393, 2922, 12062, 1996, 2178, 12798, 267, 30339, 267, 6777, 267, 543, 4764, 269, 2060, 8027, 3790, 593, 519, 4473, 844, 976, 564, 554, 583, 5321, 616, 513, 1390, 4244, 547, 2757, 23739, 2759, 614, 5321, 563, 5226, 976, 564, 5246, 8490, 23467, 3657, 29460, 589, 2859, 15019, 8899, 563, 5575, 267, 1018, 596, 1590, 1174, 568, 602, 519, 8273, 519, 554, 583, 267, 519, 811, 7199, 621, 786, 581, 269, 918, 2378, 6390, 568, 6131, 547, 2870, 6273, 5624, 2429, 519, 2749, 602, 616, 6213, 547, 519, 2115, 540, 922, 7264, 267, 799, 568, 10423, 538, 3020, 5087, 269, 7073, 844, 976, 564, 554, 583, 5321, 538, 4853, 642, 756, 525, 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 ]
[ 27528, 645, 1030, 516, 328, 31258, 1301, 2465, 695, 13593, 454, 763, 10750, 3667, 5828, 856, 547, 581, 21016, 2425, 1113, 267, 2687, 547, 519, 7128, 269, 11048, 267, 22602, 941, 4166, 2111, 547, 2322, 513, 3247, 547, 519, 645, 1690, 340, 8705, 27528, 645, 1030, 516, 328, 31258, 1301, 2465, 950, 267, 1282, 513, 6296, 2638, 267, 513, 1978, 30686, 674, 1276, 338, 1033, 517, 730, 606, 23292, 3926, 538, 606, 3801, 547, 6146, 5128, 269, 901, 8959, 267, 543, 3079, 646, 6926, 342, 1055, 1312, 1010, 3946, 269, 898, 5828, 856, 602, 519, 16957, 22681, 1895, 15538, 1152, 540, 674, 1276, 338, 269, 634, 8545, 3576, 1010, 1378, 1272, 538, 7890, 563, 293, 1276, 338, 2663, 7150, 602, 646, 1185, 22393, 3710, 519, 13438, 883, 519, 681, 6347, 14238, 269, 17713, 667, 984, 6975, 514, 2219, 713, 729, 23674, 269, 19402, 1010, 2669, 267, 667, 984, 6975, 514, 1185, 606, 4277, 2243, 4712, 585, 1010, 1053, 281, 968, 1692, 666, 594, 11523, 606, 681, 6347, 14238, 952, 972, 568, 513, 3126, 540, 562, 1149, 538, 519, 3597, 540, 519, 6305, 1587, 1310, 519, 8918, 1448, 18313, 296, 5816, 3022, 827, 30686, 674, 1276, 338, 1394, 538, 476, 1001, 275, 269, 2311, 602, 942, 267, 2705, 267, 594, 1705, 711, 917, 519, 22681, 779, 681, 6347, 6835, 269, 589, 1906, 2395, 3516, 267, 5816, 5467, 3627, 12794, 553, 5483, 803, 602, 789, 616, 13148, 9102, 538, 519, 1739, 1433, 689, 476, 1960, 277, 912, 11990, 9684, 2685, 2366, 803, 18767, 540, 519, 4143, 3817, 1318, 2476, 269, 2311, 519, 4098, 568, 519, 29905, 6044, 912, 2026, 666, 581, 2938, 267, 519, 2165, 968, 305, 6347, 892, 1281, 711, 2408, 538, 519, 4484, 269, 1717, 267, 621, 568, 2312, 602, 674, 1276, 338, 568, 10503, 519, 681, 6347, 1184, 1934, 269, 1261, 849, 3045, 25555, 476, 1428, 24290, 3817, 269, 634, 1433, 538, 2243, 3568, 1614, 540, 873, 912, 9989, 513, 5467, 4383, 547, 1232, 7973, 891, 6939, 9999, 286, 3657, 972, 1022, 824, 3817, 689, 519, 4484, 15597, 1634, 286, 594, 1131, 581, 1360, 6126, 827, 1489, 689, 1250, 3988, 563, 2252, 596, 1616, 547, 1039, 513, 6085, 267, 596, 991, 547, 1039, 621, 547, 519, 4436, 4528, 1934, 563, 10702, 2542, 281, 12603, 12411, 577, 331, 6686, 338, 1088, 31258, 591, 325, 15786, 3541, 17241, 293, 6874, 19587, 626, 523, 630, 272, 264, 0, 1432, 568, 15214, 637, 28585, 17737, 888, 17780, 593, 519, 17391, 543, 28241, 8226, 267, 519, 4967, 4862, 666, 581, 19040, 607, 281, 570, 2096, 3966, 12792, 267, 14941, 6438, 4992, 4862, 936, 2011, 4904, 3889, 1282, 519, 14159, 6514, 269, 15214, 637, 517, 656, 630, 335, 12149, 1054, 528, 1314, 264, 1767, 547, 3280, 2147, 547, 25576, 15664, 540, 25858, 539, 909, 1750, 4060, 563, 1692, 798, 596, 1685, 606, 14159, 4879, 888, 4415, 14159, 4879, 267, 596, 8524, 1101, 267, 1287, 513, 19895, 738, 622, 267, 25576, 1380, 267, 543, 27621, 622, 269, 901, 1931, 568, 1114, 689, 519, 1964, 540, 519, 1560, 1949, 267, 585, 799, 596, 8524, 267, 1287, 25576, 1380, 267, 27621, 622, 267, 543, 513, 19895, 738, 622, 563, 1692, 1131, 596, 4766, 14159, 25576, 15664, 888, 763, 18751, 3154, 23752, 17737, 7363, 814, 513, 1119, 332, 3966, 12792, 3280, 547, 25576, 15664, 267, 799, 568, 8719, 676, 20585, 1145, 1141, 4396, 1471, 1356, 320, 267, 5714, 267, 610, 22454, 2392, 558, 3729, 269, 634, 1166, 3471, 616, 20585, 518, 607, 17911, 4396, 3889, 2392, 558, 3729, 267, 543, 519, 1318, 5580, 9076, 656, 568, 10169, 20585, 518, 936, 519, 6797, 563, 1692, 798, 596, 3561, 14159, 25576, 15664, 888, 291, 17805, 566, 540, 513, 2596, 267, 3339, 14159, 981, 1058, 1413, 1945, 2059, 519, 3515, 540, 519, 1739, 281, 19869, 1580, 568, 2571, 267, 21136, 267, 543, 1875, 2389, 2658, 1510, 1253, 1549, 269, 1703, 616, 1100, 7298, 15087, 610, 26711, 269, 634, 513, 677, 320, 568, 4571, 1467, 1510, 536, 8816, 610, 7298, 24421, 566, 563, 7617, 4466, 1131, 519, 12016, 9305, 547, 595, 5241, 6794, 1282, 606, 4879, 888, 17780, 593, 519, 4879, 1239, 267, 519, 2101, 8808, 21904, 540, 519, 3461, 609, 595, 5241, 779, 6794, 1331, 912, 268, 11485, 585, 5945, 1644, 547, 8467, 563, 268, 11485, 585, 3968, 1644, 547, 12012, 3940, 10307, 543, 12982, 3210, 563, 268, 8682, 13282, 17211, 1644, 547, 8467, 267, 9854, 267, 4887, 27830, 267, 543, 12012, 3207, 3270, 563, 2691, 568, 25576, 15664, 15214, 637, 517, 656, 888, 29730, 637, 517, 656, 4992, 949, 849, 581, 4862, 950, 25576, 1380, 532, 9641, 5409, 8882, 3836, 609, 2011, 267, 971, 607, 949, 2049, 538, 2550, 609, 30189, 267, 610, 2550, 2348, 606, 8650, 4230, 327, 15122, 4323, 269, 1323, 1858, 540, 5409, 637, 28585, 593, 835, 2427, 540, 519, 9221, 949, 5815, 513, 13969, 1054, 528, 1314, 269, 0, 763, 1072, 2640, 540, 5388, 616, 1634, 782, 936, 519, 1158, 543, 519, 1592, 5170, 547, 1332, 269, 1703, 568, 1100, 1808, 2601, 1946, 713, 1058, 581, 267, 607, 972, 616, 865, 1082, 824, 5613, 543, 5388, 602, 616, 1175, 607, 2635, 543, 8949, 269, 1809, 267, 519, 1034, 1271, 3364, 585, 4896, 547, 1451, 568, 799, 3283, 723, 811, 9422, 1871, 267, 827, 519, 824, 3283, 602, 616, 10057, 269, 901, 1259, 267, 513, 1268, 666, 3313, 1018, 789, 991, 547, 1331, 538, 741, 2732, 267, 547, 2744, 5021, 1072, 2640, 689, 4189, 519, 5388, 538, 741, 1880, 3148, 563, 19119, 2986, 29641, 454, 288, 2635, 2732, 568, 2877, 547, 2744, 519, 2640, 540, 5388, 269, 898, 568, 513, 1249, 602, 519, 1004, 540, 1114, 2477, 8428, 538, 2474, 540, 6484, 269, 1717, 267, 1034, 540, 873, 666, 3858, 593, 835, 3364, 1107, 1519, 4195, 5613, 543, 5388, 538, 741, 2732, 568, 513, 1590, 267, 952, 789, 1616, 547, 2611, 2635, 269, 901, 1259, 267, 519, 1072, 2640, 5750, 540, 5613, 543, 5388, 786, 581, 2347, 269, 898, 1058, 849, 1331, 824, 6225, 23937, 563, 763, 1655, 1259, 547, 3914, 513, 2635, 5613, 543, 19787, 2732, 568, 547, 946, 519, 5750, 3177, 676, 519, 2817, 7732, 540, 6925, 269, 898, 3568, 513, 2635, 5613, 543, 10448, 5750, 269, 901, 568, 513, 5363, 1907, 585, 1004, 547, 946, 950, 789, 1616, 547, 1265, 856, 799, 5388, 616, 519, 1072, 5006, 3283, 547, 3548, 269, 898, 8638, 519, 4557, 1072, 5006, 5613, 607, 1134, 607, 519, 4557, 1072, 5006, 5388, 563, 293, 21209, 1656, 29641, 454, 293, 21209, 543, 19787, 616, 513, 1390, 2707, 540, 1898, 5567, 269, 589, 1697, 6981, 540, 8324, 543, 6886, 568, 1271, 547, 3251, 2635, 543, 4339, 1996, 3676, 269, 2368, 540, 519, 1034, 1271, 8324, 543, 6886, 616, 8324, 524, 267, 546, 267, 552, 267, 737, 267, 13101, 267, 7513, 267, 11379, 267, 16903, 267, 31447, 3679, 267, 6171, 546, 267, 543, 6171, 737, 269, 2353, 891, 616, 2556, 585, 1434, 1973, 10009, 267, 2178, 7633, 267, 543, 2635, 2960, 543, 8031, 269, 31035, 689, 6171, 737, 267, 1978, 5388, 616, 3638, 2959, 540, 6171, 524, 267, 799, 568, 2556, 547, 2226, 513, 2635, 9667, 1062, 563, 763, 2817, 7732, 540, 6925, 2488, 1896, 12125, 585, 1114, 5301, 269, 634, 10448, 5750, 568, 835, 540, 873, 269, 901, 10448, 5750, 2488, 513, 1592, 540, 519, 4557, 1072, 5006, 5613, 543, 5388, 269, 1635, 2542, 713, 5750, 267, 596, 786, 917, 799, 3283, 616, 3638, 2959, 540, 1114, 5567, 269, 901, 786, 948, 596, 3442, 1018, 547, 3548, 811, 1419, 563, 2026, 728, 689, 1210, 519, 2817, 7732, 540, 6925, 779, 10448, 5750, 267, 972, 568, 849, 519, 4829, 543, 10448, 1072, 2640, 5750, 799, 666, 581, 22434, 269, 901, 568, 513, 7792, 5750, 267, 799, 596, 666, 3142, 2059, 950, 596, 979, 856, 10918, 269, 1411, 666, 1118, 12215, 540, 713, 5750, 547, 1832, 538, 707, 1753, 610, 5604, 269, 901, 568, 606, 4998, 5750, 547, 946, 1317, 596, 666, 2759, 621, 543, 6529, 621, 909, 593, 707, 21067, 610, 707, 26806, 693, 1753, 269, 901, 786, 1683, 596, 609, 4195, 543, 8949, 5613, 543, 5388, 585, 6980, 563, 2467, 568, 849, 513, 4829, 543, 19787, 1072, 2640, 5750, 2139, 2228, 269, 901, 5750, 3568, 513, 2603, 540, 1344, 602, 12211, 547, 2635, 4189, 269, 634, 3896, 849, 2882, 513, 1592, 540, 2635, 10346, 267, 799, 596, 666, 2119, 269, 1411, 666, 1376, 5986, 2635, 6980, 1631, 1510, 2348, 547, 5855, 827, 875, 547, 3434, 2635, 6980, 1317, 519, 3896, 666, 1683, 596, 609, 6266, 540, 1390, 10346, 547, 2119, 269, 1411, 666, 1118, 6980, 602, 616, 2907, 2635, 267, 1175, 1039, 930, 5613, 543, 5388, 547, 2285, 621, 513, 811, 17705, 6492, 563, 309, 1122, 564, 1963, 616, 513, 1434, 2707, 540, 6484, 269, 1411, 1175, 723, 547, 3548, 873, 519, 1318, 1259, 865, 596, 666, 1205, 519, 1034, 2640, 856, 540, 873, 269, 1403, 596, 1616, 547, 1413, 7820, 543, 3251, 2635, 267, 1332, 811, 540, 873, 269, 1358, 616, 513, 1390, 1259, 547, 1832, 707, 1560, 1762, 543, 2635, 269, 5192, 547, 917, 811, 827, 713, 676, 2542, 519, 4930, 2630, 269, 0, 32098, 2986, 589, 2381, 334, 3600, 1749, 1656, 19871, 5853, 769, 25882, 2717, 6352, 454, 5415, 982, 476, 736, 1114, 2010, 540, 11254, 7408, 723, 1044, 4857, 538, 25882, 2717, 6352, 543, 25882, 2717, 6352, 3568, 782, 8370, 1898, 11254, 7408, 269, 12708, 11254, 7408, 1590, 581, 10057, 1317, 519, 1560, 3112, 30075, 873, 593, 922, 1378, 269, 634, 8370, 1898, 454, 3133, 334, 7408, 616, 1277, 26593, 267, 568, 1961, 1075, 710, 267, 682, 1075, 710, 267, 30897, 710, 267, 8715, 542, 710, 267, 4307, 2643, 23750, 710, 267, 555, 516, 517, 710, 267, 2119, 696, 2684, 534, 267, 543, 1130, 710, 269, 3958, 267, 972, 616, 3670, 2783, 958, 1898, 11254, 7408, 1765, 29006, 799, 519, 1560, 949, 723, 7411, 538, 13754, 1944, 543, 949, 3976, 1831, 1898, 31251, 2415, 24100, 267, 2166, 4614, 710, 267, 22965, 8533, 267, 25026, 710, 267, 605, 1467, 267, 543, 1119, 4592, 710, 1765, 718, 540, 799, 616, 1459, 538, 25882, 2717, 6352, 269, 634, 11254, 3679, 9043, 540, 25882, 2717, 6352, 568, 3152, 982, 602, 1336, 538, 13520, 3542, 839, 543, 538, 1082, 3536, 267, 1519, 5798, 543, 14132, 267, 543, 519, 5888, 540, 922, 1898, 11254, 7408, 13352, 1134, 1369, 519, 7840, 454, 18478, 676, 1312, 519, 2622, 2657, 9257, 630, 21766, 264, 543, 519, 5253, 543, 11982, 9257, 540, 519, 2136, 8315, 630, 11902, 302, 1916, 763, 1739, 3349, 8638, 519, 2157, 540, 476, 866, 540, 519, 2101, 11254, 7408, 607, 1336, 538, 476, 4792, 10101, 540, 25882, 2717, 6352, 269, 634, 1592, 568, 711, 2347, 543, 811, 982, 519, 7396, 476, 866, 11254, 7408, 616, 1459, 538, 25882, 2717, 6352, 563, 2026, 7150, 1657, 267, 519, 5253, 543, 11982, 9257, 630, 11902, 302, 264, 2488, 4808, 585, 519, 9053, 5223, 540, 1898, 11254, 7408, 538, 513, 1426, 3379, 609, 519, 2157, 540, 1875, 268, 24207, 11254, 7408, 269, 901, 568, 547, 948, 3391, 519, 4616, 540, 3536, 3638, 538, 519, 1898, 267, 4105, 547, 1272, 11254, 7408, 543, 547, 3970, 3536, 602, 616, 18106, 538, 741, 1898, 11254, 3679, 9043, 563, 763, 1739, 3349, 2982, 519, 6871, 540, 1898, 11254, 7408, 1336, 538, 25882, 2717, 6352, 607, 3379, 547, 519, 7840, 2322, 8521, 676, 519, 14174, 302, 563, 2026, 513, 4704, 1448, 585, 519, 2157, 540, 11254, 7408, 1336, 538, 25882, 2717, 6352, 267, 519, 1739, 3349, 8638, 519, 2157, 540, 11254, 7408, 538, 25882, 2717, 6352, 267, 538, 5696, 817, 3821, 2717, 6352, 267, 543, 538, 5798, 563, 10376, 11254, 3679, 786, 4217, 538, 513, 2647, 3099, 540, 5107, 543, 3252, 538, 519, 1560, 269, 769, 519, 1739, 3349, 267, 513, 1906, 540, 519, 2824, 2101, 5107, 540, 1142, 1898, 11254, 3679, 568, 7396, 28559, 519, 3349, 568, 538, 1100, 1259, 5497, 547, 581, 3102, 610, 782, 8537, 269, 0, 1805, 2086, 539, 630, 1721, 8866, 2567, 32641, 267, 14640, 2350, 1143, 267, 543, 1411, 676, 26778, 32083, 454, 1607, 3184, 1433, 7160, 540, 519, 1948, 272, 1715, 3840, 8648, 1655, 31805, 676, 24788, 2456, 25592, 1090, 2473, 269, 918, 754, 328, 543, 26778, 32083, 568, 606, 1898, 4367, 547, 519, 1686, 540, 10168, 543, 4550, 2350, 1143, 538, 3013, 305, 19781, 269, 772, 327, 268, 2129, 269, 634, 681, 30087, 563, 3719, 2965, 6158, 827, 5198, 568, 835, 540, 519, 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 ]
[ 2183, 19072, 3722, 3515, 29429, 950, 546, 327, 31983, 323, 6238, 267, 891, 616, 519, 6151, 1124, 22806, 3355, 1944, 563, 2691, 5665, 538, 713, 7154, 28504, 327, 31983, 323, 10741, 519, 6151, 1124, 22806, 267, 543, 513, 19307, 645, 16256, 270, 308, 7894, 23094, 630, 21406, 519, 834, 6420, 3724, 8818, 19823, 799, 596, 786, 581, 7487, 538, 2121, 560, 520, 563, 1607, 7154, 540, 5106, 568, 519, 9949, 693, 29289, 942, 267, 1317, 621, 568, 519, 1034, 15095, 543, 2489, 563, 763, 6151, 23094, 912, 268, 25547, 1161, 782, 667, 295, 9573, 21168, 910, 865, 519, 667, 295, 9573, 17142, 2366, 547, 519, 7746, 1590, 2097, 538, 593, 519, 8818, 519, 23094, 568, 8118, 593, 563, 268, 3690, 332, 1080, 9859, 27033, 6814, 630, 342, 270, 719, 8121, 303, 1070, 543, 2027, 681, 15598, 476, 22659, 272, 735, 2391, 782, 268, 2158, 3908, 13739, 338, 630, 337, 1430, 982, 519, 1016, 6339, 13739, 2232, 596, 949, 1205, 689, 519, 645, 16256, 270, 308, 7894, 8818, 1040, 1452, 616, 2877, 538, 7218, 262, 3355, 12122, 3942, 630, 15290, 519, 7817, 1281, 711, 2943, 723, 606, 2232, 27358, 1916, 763, 645, 16256, 270, 308, 7894, 23094, 912, 268, 1772, 1224, 689, 547, 8900, 621, 543, 1863, 909, 10889, 619, 267, 855, 782, 21168, 1224, 689, 713, 23094, 616, 5612, 23987, 269, 634, 2601, 585, 713, 568, 602, 538, 519, 4397, 5665, 7154, 267, 891, 21168, 616, 782, 5918, 27289, 540, 21168, 4607, 3842, 519, 6151, 23094, 563, 268, 1772, 1031, 547, 10141, 3535, 539, 27033, 6814, 267, 865, 649, 1810, 1405, 723, 547, 2936, 7379, 23332, 538, 1412, 323, 327, 31983, 323, 8339, 901, 568, 1031, 547, 16253, 547, 1022, 20794, 8665, 267, 610, 547, 16253, 547, 7218, 15151, 538, 519, 681, 2894, 11246, 5058, 1533, 563, 2791, 666, 29289, 6151, 23094, 7180, 856, 267, 543, 621, 949, 3006, 581, 19624, 585, 2773, 543, 16134, 4128, 267, 855, 16984, 1058, 1174, 519, 20159, 602, 519, 667, 295, 9573, 7746, 786, 1100, 3476, 581, 2111, 547, 6494, 27033, 770, 30491, 547, 7218, 593, 519, 1482, 13739, 6389, 607, 519, 667, 295, 9573, 7746, 269, 7102, 7218, 585, 945, 713, 1131, 581, 513, 1966, 1590, 3079, 581, 13883, 1141, 789, 616, 6603, 3842, 20794, 8069, 269, 898, 949, 581, 2182, 547, 2226, 713, 20159, 538, 606, 8704, 1062, 2066, 16984, 267, 607, 5121, 1332, 543, 552, 6277, 269, 21984, 1124, 22806, 798, 711, 11874, 1764, 1034, 3755, 262, 2773, 538, 513, 6209, 1259, 267, 865, 621, 568, 711, 5227, 547, 771, 762, 621, 563, 11514, 29058, 6151, 1124, 22806, 538, 667, 295, 9573, 454, 5804, 476, 275, 269, 272, 268, 2464, 309, 7304, 274, 543, 476, 275, 269, 273, 269, 273, 27477, 267, 596, 666, 946, 8097, 19022, 4781, 4534, 523, 762, 14025, 1606, 20449, 269, 8074, 602, 713, 4183, 568, 21952, 3590, 17466, 910, 621, 786, 711, 960, 538, 782, 5054, 269, 4746, 4063, 2705, 602, 621, 568, 4481, 5497, 543, 5227, 585, 3755, 540, 9891, 529, 476, 1556, 281, 8490, 4959, 290, 667, 295, 9573, 593, 9891, 529, 476, 1556, 454, 26212, 547, 519, 4367, 540, 519, 4534, 523, 762, 14025, 1606, 20449, 4781, 596, 1223, 771, 762, 6151, 23094, 7180, 676, 10747, 2475, 292, 318, 306, 8016, 17395, 4811, 538, 3135, 19544, 563, 1103, 606, 6388, 1141, 6151, 23094, 7180, 568, 16432, 856, 267, 519, 7746, 3096, 2834, 645, 16256, 270, 308, 7894, 23094, 4433, 1070, 543, 1100, 6151, 1124, 22806, 269, 589, 2887, 3724, 8818, 568, 711, 8118, 538, 713, 2013, 269, 2201, 930, 5867, 267, 513, 645, 16256, 23094, 568, 8118, 585, 1169, 8818, 267, 952, 602, 3760, 814, 513, 1259, 547, 12622, 1124, 22806, 547, 17103, 269, 1452, 949, 2705, 1869, 2408, 547, 581, 607, 1373, 3808, 593, 594, 2793, 291, 11403, 268, 3198, 312, 269, 630, 7197, 13274, 5060, 525, 7500, 713, 1259, 267, 855, 519, 7180, 949, 4096, 593, 519, 17830, 610, 5391, 322, 8747, 910, 621, 11974, 952, 596, 723, 14298, 29758, 18853, 307, 7495, 14110, 21201, 3989, 1916, 9616, 585, 3755, 540, 519, 26437, 4528, 540, 4959, 290, 667, 295, 9573, 7856, 676, 26057, 593, 9891, 529, 476, 1556, 454, 1607, 7856, 1628, 540, 4959, 290, 667, 295, 9573, 1281, 711, 946, 6151, 1124, 22806, 269, 634, 2702, 547, 1152, 13739, 3091, 543, 11760, 906, 593, 9891, 529, 476, 1556, 814, 1044, 29429, 547, 26057, 607, 17079, 476, 14690, 23211, 4366, 563, 15100, 476, 1220, 272, 268, 1001, 279, 5769, 7010, 3117, 24832, 1280, 6351, 609, 2042, 543, 2055, 585, 799, 596, 723, 711, 1044, 2111, 547, 1265, 606, 2626, 538, 938, 11310, 12476, 267, 649, 4363, 10478, 938, 2146, 544, 9430, 1592, 21517, 543, 5924, 20171, 707, 2243, 972, 630, 9767, 786, 991, 547, 11578, 972, 1101, 585, 707, 9708, 547, 581, 7608, 1040, 634, 12622, 268, 22852, 543, 519, 546, 327, 31983, 268, 22852, 8638, 3226, 723, 513, 1279, 29280, 543, 3742, 15376, 269, 4959, 290, 12346, 593, 519, 2883, 1489, 540, 519, 2146, 547, 2508, 519, 1646, 540, 922, 1930, 2707, 3301, 2472, 269, 1403, 596, 1131, 899, 547, 1489, 2104, 1587, 4720, 543, 5826, 607, 1134, 2348, 4708, 540, 2247, 6616, 602, 938, 2319, 540, 4966, 616, 26405, 547, 1683, 596, 609, 1367, 2930, 6351, 8164, 596, 1289, 2390, 873, 267, 1287, 5225, 2015, 938, 12333, 4427, 2675, 3628, 8081, 2533, 910, 3877, 666, 581, 1336, 593, 938, 1292, 3896, 269, 0, 8196, 20473, 11837, 585, 4070, 267, 4683, 4058, 267, 4320, 9273, 267, 14099, 9781, 267, 1804, 8397, 11837, 267, 7317, 11837, 267, 543, 3860, 5054, 899, 11080, 269, 1703, 616, 513, 3984, 540, 3156, 585, 20473, 11837, 1519, 5373, 3135, 3515, 267, 1283, 334, 7851, 267, 21249, 4566, 267, 543, 476, 274, 323, 7851, 269, 2290, 540, 519, 1655, 3096, 540, 20473, 11837, 568, 7317, 7851, 609, 476, 11740, 24266, 2592, 269, 8073, 3308, 5054, 1141, 707, 7218, 666, 2263, 3601, 610, 4025, 899, 2760, 1354, 269, 1411, 666, 849, 946, 20473, 11837, 547, 1711, 5054, 585, 11080, 543, 5691, 4641, 563, 24836, 767, 3135, 16922, 540, 476, 7367, 5094, 2592, 609, 2520, 648, 325, 22235, 16776, 563, 5804, 519, 3239, 1657, 649, 666, 798, 4320, 9273, 267, 1491, 7403, 267, 543, 1711, 26048, 3515, 269, 4635, 16140, 6513, 18745, 630, 294, 9573, 779, 264, 609, 5619, 532, 3446, 15870, 649, 666, 5352, 7851, 609, 606, 6111, 540, 13008, 273, 4699, 610, 13008, 271, 269, 4281, 278, 275, 6279, 269, 1284, 616, 4867, 2324, 609, 5619, 532, 3549, 547, 3715, 513, 1505, 585, 19142, 1055, 593, 5619, 3446, 7851, 269, 1403, 707, 513, 5619, 532, 2754, 649, 1131, 2648, 519, 4316, 547, 960, 609, 596, 547, 11753, 20473, 11837, 883, 707, 4238, 563, 6944, 712, 3515, 616, 513, 1390, 1259, 547, 3313, 24659, 593, 4540, 610, 6069, 3785, 269, 2913, 721, 1711, 513, 4786, 609, 26048, 3515, 585, 707, 1699, 610, 1985, 1788, 269, 1280, 811, 3877, 3346, 721, 2630, 563, 13425, 1394, 4166, 607, 649, 786, 581, 4946, 811, 2013, 946, 3631, 4166, 269, 5213, 1406, 7340, 547, 1433, 5658, 713, 2985, 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 ]
[ 15434, 651, 781, 4359, 2029, 609, 519, 18642, 2175, 28815, 676, 519, 3209, 781, 6967, 3197, 5713, 547, 5031, 519, 6038, 17860, 14767, 540, 4652, 9116, 1229, 16851, 543, 6639, 15002, 1143, 780, 290, 269, 595, 768, 659, 5062, 10111, 20321, 781, 834, 763, 10003, 9899, 2776, 4109, 27014, 538, 513, 4446, 1066, 23721, 454, 18250, 10111, 20321, 781, 17240, 12688, 15356, 20421, 960, 3091, 5310, 519, 1034, 20807, 532, 5075, 540, 513, 2022, 268, 777, 32565, 1158, 2943, 16545, 269, 5590, 9624, 519, 607, 1156, 21219, 540, 3013, 267, 513, 4651, 543, 5067, 7832, 2390, 513, 829, 559, 748, 3460, 5045, 1189, 267, 25094, 27701, 585, 1426, 543, 7727, 2059, 519, 1259, 269, 10801, 741, 27356, 8124, 267, 789, 7237, 3875, 3615, 602, 2899, 4371, 1713, 1871, 31251, 267, 16113, 267, 513, 14776, 4585, 4362, 538, 606, 14460, 2178, 7901, 780, 19284, 3105, 23200, 267, 2705, 267, 5062, 10111, 20321, 1965, 3832, 9749, 1705, 716, 6291, 538, 3870, 540, 11029, 16555, 593, 519, 7904, 7566, 2470, 540, 1570, 5763, 269, 5502, 267, 519, 14776, 4585, 3587, 513, 1093, 17257, 3090, 540, 2530, 1765, 18485, 2123, 543, 7104, 1765, 338, 6326, 607, 513, 22880, 12576, 540, 1018, 814, 1044, 9048, 22106, 2406, 4503, 538, 519, 12687, 540, 2518, 31685, 269, 30027, 3585, 267, 519, 4585, 3252, 607, 513, 15266, 547, 4126, 267, 11021, 602, 1256, 538, 519, 6926, 752, 652, 540, 6381, 267, 972, 3788, 930, 5033, 4565, 766, 540, 5898, 543, 11419, 780, 7656, 269, 12634, 25684, 543, 15332, 692, 2026, 938, 1158, 12066, 956, 609, 20387, 8733, 16839, 267, 2804, 13103, 267, 543, 2797, 30331, 10052, 267, 519, 4245, 8659, 1369, 891, 14070, 6386, 13469, 2479, 811, 9244, 269, 1635, 6313, 519, 1909, 540, 14776, 29167, 1369, 840, 268, 777, 32565, 543, 29711, 1014, 3332, 267, 649, 2744, 2565, 5813, 883, 519, 1761, 4539, 540, 31250, 7082, 1143, 267, 19727, 11712, 6639, 13120, 267, 543, 796, 8455, 1194, 15949, 517, 1143, 269, 769, 3257, 865, 267, 649, 1522, 2253, 547, 19424, 4244, 20304, 12082, 538, 9698, 267, 6940, 267, 543, 8296, 1765, 325, 583, 999, 1141, 519, 3020, 2268, 540, 1967, 6013, 711, 538, 519, 1297, 540, 19987, 740, 528, 940, 835, 781, 21015, 855, 2864, 538, 519, 1072, 543, 8788, 540, 938, 3838, 2950, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 27559, 540, 19987, 814, 26970, 8103, 585, 5553, 267, 8204, 17195, 267, 30483, 267, 543, 5763, 269, 1879, 891, 10475, 21889, 616, 7471, 883, 519, 1158, 540, 3520, 1108, 267, 519, 1267, 568, 5963, 30811, 1107, 14776, 29167, 269, 769, 713, 2376, 267, 649, 5490, 883, 519, 3638, 1686, 540, 14776, 29167, 267, 16439, 741, 8129, 267, 3695, 741, 11358, 8090, 267, 543, 10771, 741, 4797, 4644, 538, 4207, 6752, 3466, 563, 11771, 1231, 540, 27339, 20242, 2583, 454, 2414, 10146, 519, 3460, 540, 14776, 29167, 267, 649, 1590, 1101, 2263, 741, 8129, 269, 634, 7706, 540, 3520, 1108, 543, 14446, 19646, 513, 2620, 3140, 22871, 267, 6580, 1394, 547, 3504, 12977, 269, 5384, 15209, 7620, 16941, 593, 31914, 10118, 543, 1216, 23234, 1354, 9687, 883, 7344, 23234, 267, 28285, 538, 15409, 4626, 788, 773, 806, 563, 763, 5912, 689, 17927, 29167, 547, 21015, 342, 520, 2583, 5129, 513, 2629, 1909, 538, 519, 4720, 540, 14776, 3613, 3291, 539, 4626, 788, 773, 806, 269, 898, 729, 1282, 713, 6521, 602, 14776, 29167, 1500, 741, 26813, 267, 9141, 676, 519, 4052, 2115, 540, 512, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 7093, 5025, 335, 32565, 22230, 344, 17380, 1014, 11470, 630, 17623, 476, 736, 628, 11416, 17983, 607, 851, 540, 834, 11227, 1315, 8466, 1315, 476, 736, 628, 11416, 1315, 4937, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 16520, 26888, 540, 4325, 16696, 543, 30814, 17372, 525, 281, 10289, 13834, 267, 16844, 267, 543, 29621, 692, 296, 269, 4985, 692, 763, 1158, 540, 1876, 814, 12926, 1044, 9228, 607, 513, 5256, 26730, 3990, 2361, 267, 609, 2021, 543, 824, 12102, 2516, 6849, 3875, 7496, 547, 7127, 543, 13120, 269, 1717, 267, 2429, 1686, 267, 972, 723, 1044, 21722, 2043, 945, 723, 7745, 891, 7496, 543, 21490, 519, 1259, 585, 3152, 4763, 543, 10014, 1369, 519, 3656, 3924, 269, 901, 1576, 1770, 786, 2263, 5339, 10070, 540, 18531, 543, 16232, 9607, 9447, 676, 971, 13009, 4565, 1794, 619, 267, 2519, 593, 741, 7418, 547, 4008, 7862, 267, 4763, 267, 543, 10014, 269, 1635, 6313, 891, 5931, 5702, 267, 649, 2832, 547, 2744, 4030, 883, 519, 2833, 540, 26173, 2516, 538, 519, 3656, 3924, 543, 1174, 519, 2994, 6964, 676, 891, 3401, 547, 3142, 827, 1689, 780, 2862, 269, 27505, 1359, 6468, 538, 519, 13751, 25088, 692, 288, 269, 15248, 16910, 6929, 781, 2561, 2002, 618, 607, 7083, 10456, 1849, 17064, 630, 9928, 582, 1633, 2020, 1103, 476, 1001, 277, 267, 15248, 16910, 6929, 729, 12912, 607, 519, 7083, 10456, 1849, 17064, 538, 10430, 267, 4742, 519, 1101, 4807, 547, 3180, 713, 22644, 539, 2990, 269, 4173, 13393, 6825, 513, 1713, 24182, 538, 519, 13677, 3656, 1062, 267, 799, 1185, 5892, 2760, 2938, 513, 4775, 9794, 3914, 971, 15627, 269, 1677, 1732, 10146, 519, 4644, 540, 1200, 9740, 267, 621, 1131, 581, 6225, 547, 1353, 1200, 18531, 543, 2232, 612, 267, 3226, 1346, 10704, 1472, 4008, 7862, 543, 519, 1909, 540, 2021, 538, 519, 3656, 3924, 269, 3414, 7421, 1200, 20116, 543, 7440, 267, 649, 666, 2697, 519, 2591, 5185, 676, 2021, 538, 519, 3656, 5823, 543, 1451, 827, 1761, 3435, 547, 7753, 873, 780, 289, 269, 667, 877, 14986, 1261, 559, 321, 1258, 1627, 290, 781, 8177, 593, 519, 2296, 4446, 692, 291, 877, 14986, 1261, 559, 321, 1258, 1627, 290, 729, 513, 7986, 2296, 536, 1551, 3563, 1634, 585, 1200, 6791, 538, 7803, 1876, 269, 1306, 519, 1101, 4807, 547, 1831, 513, 3751, 781, 21835, 538, 4789, 543, 12986, 267, 1352, 13264, 1007, 2666, 585, 2021, 538, 519, 3656, 3924, 269, 24167, 1200, 18531, 543, 12591, 2636, 721, 547, 5660, 1200, 3646, 2509, 4101, 4008, 11475, 543, 14957, 585, 3160, 3255, 585, 2021, 538, 519, 1876, 269, 5015, 267, 4974, 1200, 960, 2488, 3407, 2796, 585, 1620, 519, 4720, 540, 4008, 6384, 1369, 519, 3656, 3924, 780, 7656, 269, 674, 29183, 20523, 769, 12807, 10738, 519, 13751, 30359, 692, 288, 269, 28304, 26225, 31875, 538, 519, 13751, 12197, 910, 29362, 3245, 962, 553, 2381, 2701, 16554, 692, 312, 553, 2381, 2701, 16554, 267, 513, 5449, 2123, 5945, 15818, 543, 13653, 540, 667, 5744, 25198, 267, 3096, 1200, 1378, 2833, 607, 513, 1268, 609, 513, 9659, 547, 22299, 13784, 538, 519, 3656, 3924, 269, 22718, 1200, 18531, 543, 5466, 2636, 721, 547, 4983, 1200, 2189, 5133, 543, 9787, 519, 1585, 9465, 7606, 609, 9124, 7237, 538, 13197, 11678, 1369, 519, 1876, 269, 5047, 267, 1200, 960, 3091, 4052, 5796, 593, 5807, 811, 8537, 5054, 543, 19713, 519, 15421, 540, 2043, 609, 9124, 780, 289, 269, 8342, 651, 2806, 574, 19096, 781, 17714, 27870, 30101, 25734, 538, 519, 13751, 12752, 692, 29222, 651, 2806, 574, 19096, 267, 513, 4937, 21835, 543, 7577, 14199, 267, 814, 13991, 1454, 540, 1200, 4876, 547, 14027, 7292, 9698, 1369, 519, 3656, 2872, 269, 1635, 3695, 1200, 18531, 543, 12591, 267, 649, 666, 5490, 4514, 883, 519, 2152, 4478, 5198, 543, 14940, 538, 519, 3924, 269, 3958, 267, 649, 666, 5659, 1200, 2994, 585, 5009, 2686, 16169, 543, 8716, 3906, 547, 9784, 4763, 780, 4353, 269, 10390, 692, 7437, 2502, 609, 5339, 10070, 540, 18531, 543, 16232, 9607, 9447, 676, 13009, 4565, 1794, 619, 899, 15248, 16910, 6929, 267, 667, 877, 14986, 1261, 559, 321, 1258, 1627, 290, 267, 962, 553, 2381, 2701, 16554, 267, 543, 8342, 651, 2806, 574, 19096, 267, 1053, 10536, 2565, 5813, 883, 519, 3140, 9620, 543, 4207, 2591, 5185, 676, 26173, 2516, 538, 519, 3656, 3924, 269, 11086, 267, 713, 1702, 16877, 2104, 17864, 547, 12167, 585, 6209, 2242, 6322, 693, 2870, 513, 811, 12581, 543, 8537, 1604, 585, 782, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 2026, 519, 1699, 7083, 10456, 1849, 17064, 267, 15248, 16910, 6929, 6585, 519, 2034, 1034, 9972, 16324, 2022, 538, 10430, 269, 901, 13393, 1500, 1686, 538, 476, 1001, 277, 607, 1100, 4807, 1185, 2479, 6039, 693, 713, 1377, 538, 519, 13677, 3656, 1062, 1354, 269, 10557, 7431, 16910, 6929, 779, 4567, 607, 513, 13009, 4565, 1794, 518, 3459, 5756, 1991, 950, 1352, 2968, 519, 1101, 4807, 547, 4196, 607, 5917, 11229, 2677, 335, 1393, 538, 519, 20513, 540, 25635, 919, 563, 295, 559, 776, 1261, 559, 321, 1258, 1627, 290, 568, 606, 2296, 536, 1551, 3563, 693, 645, 4459, 7040, 16422, 1499, 267, 609, 3573, 1995, 538, 3486, 32404, 543, 5010, 25036, 269, 2701, 568, 849, 519, 8250, 540, 667, 877, 14986, 1261, 559, 321, 1258, 1627, 290, 563, 312, 553, 2381, 2701, 16554, 568, 513, 5449, 2123, 5945, 15818, 543, 519, 13653, 540, 667, 5744, 25198, 267, 513, 5077, 3599, 602, 14884, 14540, 593, 875, 547, 18390, 1935, 9659, 543, 3927, 7148, 883, 3309, 13007, 269, 634, 13539, 1281, 713, 998, 2866, 267, 18006, 267, 29013, 267, 12909, 543, 1357, 21577, 269, 962, 553, 2381, 568, 849, 513, 10584, 267, 2219, 6205, 543, 21470, 17348, 540, 519, 4521, 14636, 609, 24894, 10406, 693, 519, 4521, 5980, 563, 29222, 651, 2806, 574, 19096, 18222, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 700, 25604, 14473, 23333, 28421, 16739, 1315, 4325, 16696, 1315, 30814, 17372, 525, 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, 2878, 17345, 5149, 281, 28414, 18903, 4373, 5970, 596, 2479, 14478, 513, 7260, 1759, 593, 835, 540, 707, 5172, 2835, 543, 2219, 267, 968, 6546, 7012, 1406, 875, 621, 5949, 538, 519, 1433, 17373, 2107, 6148, 596, 6068, 7487, 707, 5172, 3197, 2097, 9800, 593, 519, 2462, 5496, 256, 11154, 532, 2835, 883, 9413, 568, 1312, 4101, 543, 4241, 1317, 972, 616, 865, 1082, 3664, 547, 1118, 827, 1018, 13978, 267, 1018, 4422, 267, 543, 875, 1919, 786, 1413, 543, 3280, 1114, 982, 789, 1705, 538, 707, 9345, 1247, 2542, 269, 901, 1576, 1770, 786, 1491, 596, 3297, 519, 10207, 540, 7432, 2854, 2984, 883, 3308, 2833, 1107, 849, 1634, 607, 968, 300, 990, 773, 18903, 892, 2439, 1262, 8512, 476, 272, 281, 19805, 1548, 25198, 4373, 2691, 1818, 513, 4670, 9542, 267, 835, 540, 519, 1101, 2591, 568, 14045, 799, 2694, 540, 519, 3312, 1650, 547, 1832, 269, 589, 3209, 666, 723, 7366, 540, 3817, 609, 6946, 3877, 267, 855, 513, 1079, 16923, 7260, 814, 3908, 942, 269, 8606, 7825, 5474, 1590, 3442, 1883, 8090, 267, 3197, 267, 543, 4729, 2798, 602, 6655, 519, 9759, 540, 519, 1650, 1247, 5329, 9458, 7722, 269, 1280, 1383, 267, 950, 15268, 16452, 25260, 543, 519, 11096, 9372, 781, 12942, 267, 519, 15888, 6785, 11655, 1131, 2503, 1978, 11599, 2609, 899, 25957, 476, 280, 476, 382, 378, 543, 2372, 1342, 3558, 267, 1256, 1498, 1346, 5749, 1405, 1898, 547, 1620, 519, 1292, 4729, 269, 1635, 1519, 891, 11537, 3334, 267, 789, 2813, 513, 811, 17598, 1995, 585, 13588, 945, 2907, 19644, 519, 2707, 1570, 780, 1262, 8512, 476, 273, 281, 25927, 908, 18838, 6478, 20553, 10439, 5678, 4373, 5629, 519, 4295, 3344, 540, 519, 1650, 616, 5697 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 17941, 8480, 269, 769, 10430, 972, 568, 1100, 1362, 540, 9439, 540, 519, 1876, 945, 1491, 519, 2012, 540, 27192, 269, 6423, 12167, 267, 476, 272, 563, 268, 562, 269, 634, 2489, 28643, 610, 9614, 540, 513, 24873, 269, 1496, 23873, 4639, 28851, 24358, 268, 1677, 1685, 676, 21285, 563, 268, 1677, 2308, 607, 513, 21285, 563, 268, 562, 269, 634, 13393, 540, 1776, 547, 957, 538, 835, 781, 8669, 282, 519, 957, 540, 20803, 606, 18607, 281, 1631, 1031, 1152, 538, 519, 1739, 8360, 563, 268, 562, 269, 769, 2136, 2276, 1876, 267, 519, 15149, 540, 519, 5480, 16153, 1154, 606, 18607, 547, 26821, 267, 799, 1449, 5809, 602, 519, 18607, 814, 11727, 543, 3144, 1010, 522, 987, 540, 5604, 563, 268, 562, 269, 2475, 589, 15818, 282, 835, 945, 1443, 2478, 610, 4564, 1866, 538, 3656, 6927, 607, 513, 3924, 563, 268, 562, 269, 1323, 8665, 610, 11347, 17101, 547, 957, 593, 2576, 3116, 781, 15773, 563, 294, 26214, 28732, 781, 476, 4489, 274, 454, 268, 562, 269, 28572, 589, 12990, 282, 513, 21285, 282, 606, 8665, 563, 268, 562, 269, 2290, 945, 568, 16155, 12912, 676, 1776, 547, 6223, 1022, 1870, 585, 1864, 282, 606, 454, 3430, 528, 2284, 538, 1249, 563, 268, 562, 269, 589, 3656, 8665, 11727, 547, 957, 585, 647, 6002, 543, 9718, 1218, 538, 3656, 18659, 282, 606, 454, 3430, 528, 2284, 693, 1876, 563, 268, 642, 269, 28572, 1677, 1685, 676, 21285, 282, 547, 2308, 607, 513, 21285, 563, 268, 562, 269, 513, 3318, 1268, 17101, 547, 2259, 1876, 282, 29377, 4031, 7057, 610, 3947, 3656, 5796, 454, 268, 6196, 3943, 693, 11448, 324, 267, 21522, 2250, 32096, 540, 693, 528, 1676, 630, 1729, 5965, 267, 547, 4712, 1070, 5635, 1140, 1941, 630, 310, 1731, 5406, 776, 994, 268, 5664, 2296, 1140, 712, 2284, 267, 689, 6196, 3943, 693, 11448, 267, 689, 2250, 32096, 540, 693, 528, 1676, 267, 547, 6966, 282, 1294, 1140, 1941, 269, 630, 13563, 11595, 10378, 9218, 540, 519, 2296, 5678, 267, 19549, 9990, 994, 2108, 2026, 782, 10963, 543, 23563, 540, 519, 4708, 616, 2808, 607, 8149, 1996, 519, 1533, 267, 543, 21991, 3176, 538, 922, 2012, 267, 713, 18607, 568, 3006, 1572, 9041, 8063, 781, 18607, 318, 3034, 2108, 5445, 5873, 782, 20286, 4547, 1354, 873, 1996, 7606, 585, 10963, 543, 23563, 540, 519, 4708, 267, 543, 4983, 22168, 945, 2408, 547, 1449, 1518, 282, 543, 950, 621, 568, 16761, 267, 789, 723, 519, 6351, 543, 5796, 540, 519, 1533, 781, 18607, 282, 610, 607, 646, 568, 1572, 538, 930, 2829, 267, 519, 9041, 23251, 2774, 18607, 318, 267, 610, 7536, 22154, 18607, 568, 513, 1434, 3454, 18607, 267, 855, 568, 513, 5313, 19995, 543, 711, 607, 5432, 609, 1533, 2152, 607, 835, 1131, 6999, 3034, 2108, 4263, 519, 1439, 540, 519, 1554, 267, 649, 1745, 811, 5150, 1317, 519, 5313, 7890, 2551, 814, 2220, 8215, 2479, 865, 5594, 609, 519, 17573, 10014, 540, 513, 2140, 18607, 267, 20251, 30549, 267, 610, 1483, 10040, 20090, 3034, 2108, 263, 288, 264, 513, 5480, 538, 799, 519, 18607, 568, 17101, 547, 2259, 282, 610, 7536, 2108, 301, 792, 1142, 1330, 628, 1787, 568, 513, 2140, 18607, 602, 5918, 27289, 519, 10315, 5638, 540, 782, 8852, 865, 646, 666, 11593, 9337, 1022, 7493, 4843, 547, 29538, 3034, 2108, 5804, 972, 267, 27581, 789, 786, 1577, 596, 1289, 707, 18607, 543, 707, 18607, 568, 27581, 2111, 547, 1205, 596, 856, 540, 21569, 883, 513, 15678, 3034, 10527, 1101, 1554, 594, 21534, 1250, 2140, 18607, 594, 5018, 547, 1200, 602, 594, 4941, 1250, 3993, 547, 581, 593, 519, 632, 539, 538, 1931, 547, 1205, 519, 9204, 4389, 3034, 2108, 302, 342, 839, 849, 1767, 646, 30242, 547, 1439, 1018, 646, 7125, 519, 18607, 2489, 781, 834, 16435, 2313, 2508, 257, 4534, 1394, 9204, 267, 12611, 543, 824, 10070, 22002, 676, 519, 5604, 267, 513, 6712, 540, 799, 616, 17477, 676, 519, 5604, 585, 922, 3096, 3034, 2108, 22142, 2247, 602, 606, 834, 3430, 528, 2284, 257, 568, 4986, 811, 982, 513, 15818, 945, 6499, 547, 3280, 811, 1271, 982, 646, 2731, 568, 3034, 4322, 3593, 29931, 730, 8638, 2270, 519, 2262, 2048, 3430, 528, 2284, 17483, 301, 10494, 547, 581, 1031, 607, 11673, 1247, 1603, 2984, 454, 288, 1592, 540, 1913, 602, 616, 9642, 610, 1913, 602, 594, 723, 6743, 909, 563, 299, 20235, 29395, 609, 2027, 1445, 593, 5480, 3336, 6863, 454, 25802, 2596, 1913, 585, 26613, 1053, 563, 24552, 594, 19927, 693, 1876, 1153, 454, 1805, 919, 540, 1373, 454, 20756, 3214, 256, 1548, 798, 9358, 1616, 547, 581, 950, 596, 1332, 909, 286, 2336, 11847, 11781, 7160, 267, 8061, 517, 281, 4678, 25534, 7066, 526, 1299, 3213, 1421, 13456, 1421, 476, 3422, 280, 269, 9509, 3312, 11239, 630, 9767, 9364, 1732, 10544, 513, 4235, 543, 1694, 1524, 264, 568, 912, 6919, 538, 519, 2470, 540, 5595, 3303, 1023, 454, 5472, 6168, 570, 1415, 320, 454, 19185, 585, 17408, 1115, 585, 18607, 269, 0, 291, 18076, 910, 589, 21717, 689, 12548, 538, 519, 2475, 568, 1818, 24118, 543, 7658, 268, 13681, 18352, 1686, 269, 901, 3018, 267, 519, 3162, 3979, 4659, 540, 15379, 19296, 14376, 5101, 517, 5487, 2419, 1952, 16279, 267, 476, 1704, 267, 547, 2911, 538, 667, 18076, 827, 875, 267, 609, 3908, 2200, 543, 1702, 267, 646, 3357, 547, 1020, 513, 14382, 4854, 6186, 602, 20546, 525, 519, 7207, 540, 1022, 824, 593, 519, 2344, 563, 309, 17621, 10548, 333, 18288, 267, 519, 28579, 540, 519, 20576, 267, 1767, 281, 968, 25811, 619, 616, 2141, 20678, 547, 798, 811, 609, 1447, 267, 543, 602, 568, 4010, 1018, 5101, 517, 814, 2944, 3034, 4263, 476, 1691, 646, 3323, 2324, 609, 17562, 281, 968, 296, 2219, 621, 1131, 581, 3579, 547, 1852, 513, 18951, 1688, 609, 707, 1378, 1688, 2223, 1767, 5101, 517, 269, 1261, 1031, 519, 4950, 547, 4001, 5128, 563, 2690, 1010, 1101, 1688, 646, 1031, 1850, 334, 267, 513, 3339, 1350, 913, 543, 8596, 646, 11751, 2228, 269, 898, 729, 968, 3286, 585, 1187, 892, 543, 646, 729, 27086, 602, 621, 5249, 563, 1432, 1500, 1010, 18951, 1688, 1114, 729, 602, 5101, 517, 3773, 513, 5955, 1062, 602, 5143, 519, 649, 13145, 1018, 519, 18951, 6186, 729, 968, 10623, 9934, 9731, 8253, 16069, 972, 267, 646, 6026, 5128, 21957, 267, 513, 1374, 1982, 267, 543, 2966, 1010, 2034, 22831, 1688, 563, 4913, 267, 782, 519, 2694, 646, 2966, 941, 5214, 543, 972, 729, 1100, 1259, 540, 9140, 873, 563, 4263, 519, 942, 476, 274, 291, 8228, 2029, 729, 3384, 269, 901, 2636, 519, 3593, 547, 1820, 856, 5068, 476, 274, 291, 3615, 602, 646, 814, 2966, 563, 8794, 513, 476, 274, 291, 17002, 646, 11751, 5128, 267, 646, 1500, 519, 2694, 646, 2877, 585, 519, 2034, 22831, 6186, 563, 2691, 646, 3576, 713, 547, 513, 2257, 4023, 267, 646, 1558, 513, 5722, 4458, 6040, 8004, 945, 1185, 513, 14382, 4854, 6186, 602, 1185, 1942, 1200, 3237, 1269, 3199, 476, 1822, 630, 305, 278, 7176, 476, 1822, 264, 855, 1185, 3908, 10342, 563, 292, 770, 517, 1223, 1711, 513, 811, 10097, 543, 6198, 14382, 4854, 18215, 602, 1131, 948, 5215, 540, 1004, 563, 3891, 5612, 4682, 547, 960, 593, 519, 3791, 5108, 267, 855, 2877, 547, 1265, 513, 1259, 585, 519, 649, 13145, 547, 1852, 519, 18215, 1510, 9849, 513, 5094, 1350, 913, 563, 1432, 646, 1705, 1985, 267, 930, 949, 1589, 267, 729, 2257, 5708, 267, 855, 5101, 517, 6257, 621, 607, 968, 716, 1302, 1360, 2241, 9731, 3891, 2813, 2212, 613, 541, 602, 6027, 2634, 30335, 676, 11093, 513, 9300, 593, 519, 30432, 543, 835, 593, 519, 1274, 27914, 543, 1031, 29402, 2029, 269, 1261, 1287, 5206, 6620, 883, 621, 865, 602, 621, 1131, 1831, 968, 8243, 691, 892, 543, 1451, 607, 519, 649, 13145, 19927, 269, 2991, 9849, 621, 585, 1152, 513, 1906, 3108, 267, 519, 649, 13145, 1131, 581, 2111, 547, 16900, 1852, 519, 14382, 4854, 6186, 563, 3891, 729, 12286, 538, 15019, 3163, 12139, 543, 4166, 19952, 4607, 513, 1289, 689, 715, 14505, 6998, 1018, 646, 729, 3257, 585, 519, 4832, 269, 1261, 5249, 585, 873, 585, 513, 1906, 3275, 593, 741, 7605, 517, 2246, 1788, 563, 2108, 3719, 1310, 602, 267, 594, 6785, 602, 594, 2760, 4941, 547, 960, 585, 715, 14505, 269, 1358, 5795, 803, 513, 11380, 2816, 543, 594, 5433, 602, 594, 24906, 1614, 3275, 602, 1223, 723, 1044, 6170, 593, 1250, 1788, 3034, 292, 770, 517, 814, 10150, 1010, 1101, 942, 538, 3162, 4000, 267, 968, 296, 4682, 536, 25128, 324, 17259, 19108, 543, 16356, 21799, 11362, 855, 594, 2731, 993, 14221, 1631, 547, 1205, 1394, 547, 960, 1848, 910, 634, 22358, 0, 763, 476, 274, 2409, 540, 1852, 585, 513, 2068, 912, 272, 269, 26332, 3729, 519, 2068, 27351, 6748, 8665, 454, 273, 269, 16473, 519, 11248, 689, 14921, 547, 513, 1377, 799, 666, 2014, 513, 2068, 454, 274, 269, 26332, 3215, 519, 13111, 563, 17445, 28298, 666, 581, 17808, 676, 281, 630, 273, 994, 21652, 654, 4770, 910, 1034, 1271, 454, 28406, 633, 813, 28328, 971, 607, 17309, 267, 575, 12495, 267, 13968, 267, 8825, 3750, 5957, 454, 5715, 1311, 6771, 666, 581, 14284, 676, 281, 630, 274, 994, 22879, 17486, 689, 818, 628, 641, 617, 10321, 630, 339, 6506, 994, 22879, 2068, 3262, 676, 1455, 6472, 454, 19187, 666, 940, 267, 3341, 691, 566, 267, 7674, 543, 4859, 540, 1426, 454, 4692, 940, 3340, 513, 4393, 10917, 540, 21718, 547, 6861, 24032, 540, 13322, 454, 7742, 2554, 7517, 674, 454, 303, 15160, 1590, 581, 12699, 547, 606, 4835, 2837, 540, 12223, 13090, 547, 948, 2061, 13322, 454, 13679, 5232, 674, 454, 17556, 600, 7674, 7515, 1058, 2226, 513, 5934, 10917, 540, 21718, 454, 9610, 5232, 674, 454, 8269, 3419, 3130, 1058, 723, 513, 10917, 2630, 21718, 454, 3393, 2554, 816, 674, 454, 2691, 853, 20942, 19905, 30269, 529, 1336, 538, 1426, 267, 621, 1590, 581, 16207, 2476, 1317, 21718, 454, 527, 3112, 581, 30737, 17300, 676, 3002, 454, 1432, 568, 513, 28404, 888, 288, 20022, 540, 22887, 18050, 2661, 610, 7166, 14471, 2016, 547, 16578, 12046, 563, 13349, 17261, 1149, 616, 281, 630, 274, 994, 272, 269, 14970, 22887, 18050, 10194, 10074, 454, 273, 269, 918, 2683, 610, 6824, 730, 10194, 10074, 454, 274, 269, 918, 2683, 610, 27847, 536, 1468, 10074, 454, 299, 633, 22887, 18050, 10194, 10074, 1806, 912, 1889, 553, 956, 267, 544, 7927, 267, 6299, 7578, 630, 12613, 305, 1070, 29887, 454, 298, 2683, 610, 6824, 730, 10194, 6669, 1806, 454, 22381, 267, 646, 335, 645, 267, 29811, 454, 298, 2683, 610, 26271, 531, 4551, 6669, 1806, 454, 3273, 5028, 267, 23971, 25497, 5632, 267, 13969, 25497, 5632, 454, 288, 9168, 9190, 25560, 799, 814, 1044, 21235, 1875, 1729, 13877, 855, 1869, 814, 519, 2702, 547, 12954, 519, 5250, 540, 25710, 28845, 971, 607, 15067, 29104, 5233, 6950, 563, 288, 25062, 3070, 540, 1480, 12489, 1031, 585, 12809, 31331, 563, 1432, 616, 519, 476, 276, 16332, 18331, 6688, 888, 263, 1103, 713, 1931, 689, 5207, 4939, 268, 20181, 652, 4939, 910, 717, 4456, 3633, 994, 296, 326, 294, 910, 4939, 543, 6609, 454, 263, 5952, 8472, 910, 4107, 11342, 17193, 538, 519, 1560, 543, 4679, 6281, 547, 16384, 300, 547, 948, 4339, 8290, 267, 536, 716, 1421, 13802, 269, 21561, 689, 5563, 267, 5312, 2068, 267, 2789, 24869, 5448, 543, 27131, 12263, 454, 296, 326, 288, 910, 4939, 543, 6609, 454, 263, 276, 268, 1015, 8472, 910, 1336, 538, 1560, 5728, 687, 543, 11940, 6242, 13274, 902, 540, 19357, 658, 8778, 543, 519, 22542, 8778, 269, 3689, 1899, 540, 8878, 1996, 1448, 540, 7127, 12289, 540, 1560, 269, 9214, 1162, 609, 281, 11940, 6242, 16698, 267, 3635, 267, 620, 577, 2129, 565, 267, 6797, 2068, 563, 296, 326, 300, 910, 4939, 543, 6609, 454, 276, 268, 1015, 260, 3689, 17193, 547, 2333, 2390, 26898, 10024, 519, 1560, 269, 9214, 1162, 609, 281, 27131, 2188, 332, 543, 6121, 2942, 2068, 454, 296, 326, 292, 910, 4939, 543, 6609, 454, 22102, 2549, 870, 910, 21561, 2390, 28810, 27383, 543, 26220, 17494, 563, 296, 326, 291, 910, 4939, 543, 6609, 454, 10177, 576, 910, 3210, 7164, 454, 3122, 850, 3070, 540, 1480, 12489, 5423, 689, 20033, 20115, 5697, 585, 513, 1164, 17193, 512, 3438, 1543, 1996, 513, 1808, 2068, 563, 16248, 2010, 540, 3978, 3676, 543, 741, 931, 336, 1878, 689 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 540, 29001, 17124, 670, 28045, 2668, 634, 5696, 2317, 328, 8648, 269, 476, 272, 4728, 476, 1220, 280, 269, 21444, 689, 519, 3312, 593, 476, 2537, 5181, 476, 1001, 276, 269, 8158, 476, 2641, 5437, 476, 1001, 279, 563, 268, 9745, 5213, 657, 334, 267, 21469, 630, 8505, 4379, 476, 1001, 275, 1040, 834, 10048, 10042, 586, 3288, 3227, 25564, 11440, 1642, 29001, 6737, 632, 5696, 2317, 328, 679, 1714, 521, 580, 5979, 2473, 9654, 2668, 4860, 16695, 21309, 2088, 267, 21540, 1495, 320, 18264, 23981, 269, 4860, 16695, 5033, 652, 1537, 632, 561, 1263, 7699, 586, 2148, 520, 3120, 1010, 3966, 1993, 559, 760, 2088, 269, 630, 514, 5053, 1040, 476, 273, 630, 272, 2567, 476, 2537, 269, 8158, 476, 3066, 5412, 476, 1001, 276, 563, 268, 3397, 517, 322, 21034, 267, 1855, 617, 19660, 589, 269, 630, 1960, 271, 1070, 3778, 540, 519, 27208, 1004, 267, 681, 10422, 269, 25661, 807, 267, 9768, 476, 7818, 268, 9032, 272, 268, 9262, 272, 272, 268, 6187, 268, 275, 454, 268, 5062, 8649, 529, 267, 7917, 4303, 630, 1220, 273, 1070, 30017, 12356, 281, 519, 1686, 543, 4161, 540, 759, 4026, 550, 5771, 538, 14913, 5607, 267, 654, 332, 269, 645, 269, 661, 518, 323, 332, 753, 14539, 267, 9768, 476, 7818, 268, 271, 268, 26764, 279, 268, 5392, 275, 276, 268, 279, 454, 268, 590, 16184, 619, 267, 24023, 661, 269, 630, 1220, 273, 1070, 589, 1686, 540, 5696, 2317, 328, 267, 30296, 267, 9768, 476, 7818, 268, 271, 268, 10384, 278, 268, 15433, 279, 268, 273, 454, 268, 9253, 334, 1325, 760, 267, 661, 18860, 1258, 1470, 630, 3422, 275, 1070, 11572, 543, 2686, 1686, 540, 519, 13372, 267, 5292, 6979, 476, 272, 268, 273, 454, 268, 10228, 6355, 6828, 630, 1220, 280, 1070, 634, 7797, 281, 5696, 2317, 328, 11023, 1380, 15401, 476, 1220, 280, 267, 10228, 6355, 6828, 267, 9768, 476, 7818, 268, 272, 268, 3445, 278, 271, 4792, 268, 6021, 268, 276, 454, 347, 18431, 284, 13757, 13598, 2012, 630, 15276, 994, 268, 7671, 5069, 267, 19378, 630, 1220, 279, 1070, 14272, 2745, 645, 11448, 334, 267, 14272, 2745, 20929, 267, 9768, 476, 7818, 268, 272, 268, 3445, 277, 6021, 279, 268, 1691, 268, 279, 454, 268, 2311, 12011, 1695, 267, 22819, 3240, 630, 1220, 273, 1070, 681, 965, 3391, 547, 14913, 5607, 267, 681, 965, 6651, 267, 9768, 476, 7818, 268, 272, 268, 5952, 279, 2764, 268, 8660, 274, 268, 273, 0, 1805, 31611, 1299, 853, 6723, 25110, 5939, 454, 347, 22704, 1475, 276, 269, 4037, 5998, 273, 630, 273, 269, 2420, 13483, 11465, 10245, 347, 16954, 1637, 1475, 29344, 630, 1220, 272, 14829, 10245, 27242, 25670, 1475, 5392, 270, 14790, 273, 630, 9873, 4882, 336, 11465, 10245, 347, 5308, 7470, 4704, 1475, 9915, 30020, 280, 2008, 16085, 30371, 793, 1533, 1475, 18197, 8003, 2008, 295, 9220, 568, 513, 8498, 543, 3540, 25110, 827, 476, 275, 269, 276, 5195, 630, 278, 269, 273, 5998, 264, 5087, 540, 645, 1182, 614, 538, 10228, 28790, 267, 4789, 563, 763, 8498, 781, 1283, 7716, 2501, 689, 519, 6196, 2296, 554, 19508, 32244, 2495, 834, 515, 987, 267, 4608, 738, 17300, 2666, 8487, 6524, 543, 1310, 519, 22374, 1230, 26810, 540, 4789, 654, 5285, 1189, 519, 6519, 267, 513, 519, 3913, 540, 3751, 11977, 519, 4762, 612, 528, 781, 10348, 3798, 603, 267, 11262, 519, 812, 528, 540, 670, 9220, 269, 1717, 267, 676, 476, 10482, 277, 5261, 519, 1230, 20960, 528, 1185, 11292, 519, 812, 528, 547, 2983, 32015, 632, 8053, 321, 2001, 267, 945, 729, 1312, 21674, 540, 595, 719, 1734, 543, 849, 835, 540, 5261, 781, 9972, 4108, 4971, 619, 269, 1635, 519, 476, 1321, 628, 2540, 519, 812, 528, 20705, 547, 519, 2423, 3149, 540, 3794, 537, 31569, 267, 609, 7247, 621, 18423, 2394, 519, 476, 275, 628, 23778, 540, 3794, 537, 31569, 5747, 1510, 513, 24288, 538, 476, 14530, 275, 269, 769, 476, 16328, 278, 519, 812, 528, 5293, 547, 519, 476, 272, 560, 23778, 540, 16065, 867, 269, 898, 7283, 609, 519, 16065, 3581, 630, 15367, 689, 476, 9610, 273, 941, 849, 667, 4157, 525, 540, 21207, 532, 5069, 264, 2394, 476, 13923, 272, 267, 950, 11977, 16065, 867, 267, 476, 274, 6113, 16099, 540, 21207, 532, 5069, 729, 13401, 585, 1726, 1783, 543, 1010, 3601, 941, 12492, 1540, 547, 519, 22477, 563, 5278, 15290, 1310, 476, 14138, 278, 853, 4446, 628, 565, 727, 342, 781, 11233, 538, 5507, 729, 2016, 513, 12404, 540, 2244, 693, 670, 9220, 269, 769, 476, 14631, 278, 519, 6413, 729, 15702, 896, 519, 27072, 540, 519, 20708, 625, 543, 519, 22477, 25868, 782, 922, 3338, 267, 855, 538, 476, 15150, 278, 519, 6413, 729, 1201, 15903, 269, 634, 6413, 17477, 922, 8066, 693, 670, 9220, 693, 2547, 607, 3735, 607, 476, 12739, 273, 563, 295, 9220, 5600, 729, 3710, 538, 519, 476, 1240, 628, 2540, 269, 898, 1031, 547, 581, 513, 546, 1077, 2777, 585, 17125, 1873, 749, 563, 763, 25110, 729, 3484, 539, 896, 606, 1930, 2361, 1062, 2394, 476, 10082, 273, 267, 950, 606, 2920, 540, 12057, 13087, 922, 26456, 563, 2419, 3420, 540, 4789, 454, 763, 5783, 540, 4789, 25110, 5939, 540, 12142, 31611, 543, 12142, 6723, 568, 1634, 547, 723, 11478, 676, 476, 12893, 275, 267, 950, 621, 729, 2016, 547, 519, 4864, 15687, 30410, 800, 693, 8230, 559, 10290, 267, 2663, 8230, 559, 10290, 30745, 269, 5637, 519, 7178, 3774, 540, 519, 562, 1511, 543, 519, 5045, 3774, 540, 519, 4960, 331, 7639, 689, 713, 942, 267, 1142, 20808, 513, 22374, 561, 4545, 564, 6885, 543, 519, 8545, 513, 17308, 781, 7450, 3118, 689, 519, 1482, 1974, 269, 634, 7532, 1439, 540, 519, 4960, 331, 729, 32206, 2038, 538, 519, 476, 1724, 628, 2540, 950, 513, 5463, 528, 730, 20096, 7532, 6885, 729, 17332, 269, 769, 519, 476, 1428, 628, 2540, 513, 3131, 12993, 20096, 1579, 6135, 800, 729, 3773, 547, 519, 562, 1511, 269, 1879, 519, 30745, 729, 15702, 538, 476, 14631, 279, 519, 1443, 3298, 517, 540, 670, 9220, 5293, 547, 519, 22477, 267, 799, 814, 17477, 621, 2479, 2094, 563, 1103, 476, 6977, 275, 15656, 12070, 828, 4403, 267, 21674, 540, 10228, 5360, 7134, 602, 519, 853, 269, 31611, 543, 853, 269, 6723, 729, 834, 514, 1034, 3765, 30514, 1931, 257, 543, 834, 13616, 569, 1932, 1507, 585, 519, 2551, 2668, 769, 476, 6977, 280, 519, 20096, 4860, 2526, 4056, 717, 9950, 269, 9335, 17468, 519, 2679, 267, 11097, 2989, 519, 4960, 331, 2895, 267, 543, 3773, 519, 11350, 2389, 584, 4958, 543, 519, 5087, 513, 529, 548, 269, 9335, 6410, 519, 5463, 528, 730, 13910, 7532, 6885, 689, 519, 4960, 331, 547, 519, 5087, 513, 529, 548, 267, 543, 17332, 513, 1007, 7532, 6885, 538, 519, 4960, 331, 538, 922, 1747, 269, 769, 476, 4572, 275, 519, 2713, 729, 5916, 609, 602, 540, 674, 2590, 5112, 269, 634, 25110, 568, 1631, 851, 540, 519, 1829, 823, 540, 31854, 2023, 10748, 2917, 609, 2696, 15838, 267, 674, 2590, 5112, 609, 670, 9220, 543, 853, 5803, 10370, 928, 269, 634, 1829, 823, 568, 851, 540, 519, 17125, 1873, 749, 1895, 540, 1612, 8460, 563, 763, 6196, 25351, 800, 729, 538, 6228, 676, 476, 15757, 280, 269, 769, 476, 4572, 279, 621, 729, 1201, 26860, 1310, 1373, 26151, 856, 563, 5591, 4936, 23597, 941, 4080, 538, 670, 9220, 689, 519, 2296, 26746, 538, 519, 476, 15150, 271, 338, 2394, 1310, 519, 2296, 6406, 2782, 269, 1717, 267, 538, 519, 1101, 3368, 540, 519, 476, 1626, 628, 2540, 5261, 674, 1069, 528, 540, 24622, 30639, 11751, 519, 812, 528, 540, 10434, 19213, 476, 272, 13304, 630, 272, 269, 277, 5998, 264, 7178, 540, 670, 9220, 267, 538, 476, 8182, 277, 11184, 9400, 674, 1069, 528, 11751, 519, 812, 528, 540, 570, 639, 3467, 267, 476, 273, 5195, 630, 274, 269, 273, 5998, 264, 7178, 540, 670, 9220, 543, 538, 476, 14341, 276, 519, 674, 1069, 528, 1920, 6410, 547, 570, 639, 3467, 689, 24622, 30639, 269, 634, 674, 1069, 832, 941, 513, 973, 639, 656, 1920, 945, 1185, 741, 1378, 4936, 7826, 32724, 267, 513, 1920, 17308, 630, 17141, 513, 20908, 3726, 1070, 543, 6964, 7826, 5234, 7247, 789, 4847, 547, 7390, 7136, 693, 741, 1920, 32724, 269, 634, 674, 1069, 832, 6462, 7826, 2950, 945, 3484, 539, 741, 3338, 693, 2696, 15838, 630, 274, 5195, 630, 275, 269, 279, 5998, 264, 7532, 540, 670, 9220, 1070, 10434, 19213, 543, 24622, 30639, 563, 4263, 930, 942, 519, 674, 1069, 832, 9715, 2244, 693, 670, 9220, 267, 543, 538, 476, 15757, 277, 4557, 23597, 2324, 585, 519, 674, 1069, 832, 941, 2713, 972, 269, 589, 4936, 7826, 2551, 1297, 532, 1447, 982, 4557, 15068, 538, 670, 9220, 15068, 2429, 519, 476, 1240, 628, 543, 2038, 851, 540, 519, 476, 866, 628, 5553, 267, 930, 855, 711, 782, 540, 873, 2324, 585, 519, 674, 1069, 832, 269, 1358, 13984, 7136, 693, 519, 32724, 538, 570, 639, 3467, 2394, 519, 674, 1069, 832, 6806, 621, 585, 1201, 7875, 7321, 538, 476, 12293, 279, 269, 1703, 12898, 789, 13984, 7136, 693, 513, 32724, 538, 10434, 19213, 2813, 538, 519, 1140, 545, 540, 519, 812, 528, 2777, 267, 855, 519, 674, 1069, 832, 4421, 519, 812, 528, 538, 476, 9264, 279, 543, 519, 1007, 8227, 6806, 519, 32724, 538, 476, 8146, 271, 563, 1103, 476, 8146, 273, 519, 17308, 689, 10434, 19213, 1185, 10513, 27076, 5939, 3710, 693, 670, 9220, 547, 4196, 519, 4936, 7826, 2551, 972, 543, 538, 4478, 14252, 269, 898, 568, 513, 20096, 4860, 2526, 2679, 855, 519, 2012, 540, 922, 4056, 568, 711, 6592, 563, 3528, 476, 9692, 275, 670, 9220, 1185, 513, 1507, 6396, 626, 30798, 269, 898, 3710, 922, 1101, 32724, 538, 476, 6977, 275, 543, 8719, 713, 609, 513, 2034, 32724, 538, 476, 6942, 277, 269, 634, 8545, 729, 1869, 1373, 1031, 607, 513, 32724, 538, 476, 4198, 276, 855, 568, 1631, 513, 4357, 2777, 563, 12892, 543, 2804, 1686, 454, 295, 9220, 814, 513, 1857, 2777, 267, 799, 2394, 519, 2038, 851, 540, 519, 476, 866, 628, 2540, 729, 1572, 519, 631, 5306, 3122, 781, 1488, 916, 269, 898, 729, 1287, 26948, 519, 18724, 3467, 1488, 916, 267, 1310, 7338, 18724, 3467, 945, 5030, 693, 670, 9220, 5600, 476, 5197, 279, 268, 1556, 269, 898, 814, 1044, 513, 6103, 4083, 7396, 2679, 2094, 476, 2735, 279, 269, 4595, 476, 1001, 273, 621, 814, 1044, 1572, 634, 631, 28854, 667, 3089, 563, 288, 2817, 3427, 729, 3710, 538, 476, 6977, 273, 543, 23762, 538, 476, 6942, 275, 269, 769, 476, 4572, 275, 621, 729, 556, 6716, 2213, 607, 513, 21738, 1153, 543, 538, 476, 3707, 279, 621, 729, 556, 6716, 2213, 1586, 607, 606, 12256, 262, 1153, 269, 769, 476, 4198, 275, 621, 729, 1869, 1930, 607, 513, 5783, 540, 4789, 1153, 267, 855, 621, 568, 1631, 6806, 269, 769, 476, 8146, 272, 2244, 729, 11751, 547, 1628, 513, 4936, 7826, 1153, 269, 8490, 729, 13175, 1287, 267, 855, 711, 6192, 2394, 476, 6942, 271, 950, 621, 8118, 607, 853, 269, 17722, 781, 3427, 269, 1635, 476, 4572, 271, 621, 729, 606, 12256, 262, 1153, 543, 538, 476, 4572, 275, 621, 729, 6806, 563, 1103, 476, 1708, 271, 519, 8498, 11176, 12334, 1985, 547, 519, 8498, 10689, 3323, 16475, 519, 1753, 13292, 540, 10228, 28790, 18947, 13477, 2319, 12891, 2023, 674, 14709, 563, 268, 9745, 834, 22704, 281, 670, 9220, 8713, 630, 13640, 880, 2567, 3474, 880, 10361, 12248, 338, 2668, 27199, 13118, 3125, 10803, 269, 8433, 585, 2817, 10803, 269, 8158, 476, 279, 4728, 476, 1001, 271, 563, 268, 9745, 513, 536, 524, 546, 552, 535, 575, 554, 1775, 795, 737, 561, 544, 562, 522, 533, 7117, 678, 521, 512, 579, 642, 530, 1535, 586, 1990, 513, 320, 705, 1035, 740, 513, 324, 7192, 31123, 601, 267, 476, 4198, 280, 267, 3817, 476, 14690, 268, 8687, 454, 268, 9745, 513, 536, 524, 15593, 6229, 1299, 3212, 341, 338, 1676, 267, 476, 3192, 275, 267, 2985, 476, 277, 3393, 454, 268, 9745, 513, 536, 524, 15593, 6229, 1299, 3212, 341, 338, 1676, 267, 476, 3192, 275, 267, 2985, 476, 5038, 277, 454, 268, 9745, 834, 306, 3559, 1873, 749, 1895, 540, 8303, 1127, 281, 853, 31611, 338, 1299, 853, 6723, 5783, 267, 670, 9220, 2668, 21444, 689, 519, 3312, 593, 476, 279, 5437, 476, 1220, 280, 269, 8158 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5107, 538, 5009, 1620, 267, 6568, 267, 543, 13784, 1369, 3506, 267, 3885, 267, 543, 6626, 6848, 8658, 269, 1403, 649, 1294, 2576, 7680, 11648, 610, 14882, 1813, 547, 741, 14920, 267, 5198, 267, 4984, 267, 610, 1022, 824, 2460, 540, 741, 3961, 267, 7555, 909, 585, 873, 2306, 513, 5458, 3017, 269, 4634, 1507, 3527, 267, 971, 607, 6340, 856, 950, 6217, 10413, 995, 8292, 610, 18136, 2576, 945, 4667, 9678, 547, 6443, 513, 6643, 267, 3565, 3648, 547, 5807, 513, 22205, 1604, 780, 2026, 2518, 4961, 267, 621, 781, 1271, 585, 721, 547, 5431, 602, 1978, 5095, 1995, 2189, 16426, 269, 5753, 29152, 539, 676, 7486, 25266, 1419, 6560, 609, 16663, 267, 6710, 267, 543, 3668, 540, 1569, 547, 2298, 3782, 269, 3414, 14223, 2069, 267, 1382, 267, 543, 5698, 609, 4810, 5640, 267, 3906, 899, 14208, 641, 15552, 29954, 790, 547, 3715, 606, 3486, 2797, 5943, 6131, 547, 7863, 891, 7925, 1453, 269, 1635, 4947, 1927, 543, 9870, 938, 9739, 15217, 267, 649, 666, 2327, 602, 1100, 835, 4991, 2451, 3297, 780, 3383, 267, 875, 666, 9358, 1831, 3238, 538, 1514, 5126, 17933, 286, 1703, 616, 3875, 2081, 547, 3565, 9797, 547, 707, 2199, 543, 2518, 2950, 269, 12160, 908, 538, 2875, 15731, 5059, 593, 4763, 543, 10014, 267, 24749, 693, 2146, 7740, 5885, 12790, 5095, 267, 11504, 678, 718, 625, 14957, 585, 7862, 267, 610, 3274, 1565, 811, 827, 1514, 5126, 5322, 2228, 616, 5140, 4358, 2798, 269, 5457, 267, 1256, 9583, 5634, 6411, 899, 8156, 3025, 609, 11587, 543, 2463, 979, 513, 1279, 1259, 4724, 2679, 513, 1732, 14182, 780, 1103, 5758, 267, 1514, 5126, 17933, 3322, 8165, 585, 14619, 267, 9698, 267, 543, 3160, 3255, 585, 782, 2043, 7488, 540, 741, 3961, 267, 4282, 267, 610, 4978, 269, 5664, 1153, 1053, 899, 596, 4865, 10373, 1761, 547, 3142, 2318, 2242, 547, 519, 1158, 1472, 596, 269, 22737, 4763, 267, 2259, 6568, 267, 543, 4497, 538, 6209, 7391, 609, 707, 9905, 1107, 891, 2241, 3268, 786, 17362, 519, 13374, 4724, 513, 17321, 267, 8537, 2104, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 24993, 281, 4455, 476, 1556, 454, 295, 17274, 15552, 781, 674, 10133, 267, 1546, 7079, 267, 568, 23712, 609, 519, 2817, 4741, 540, 5274, 7126, 547, 12167, 585, 31655, 543, 1762, 4079, 547, 1451, 827, 1514, 5126, 543, 4434, 11806, 2924, 269, 2060, 2799, 4390, 540, 11806, 543, 24027, 3906, 2324, 593, 10167, 2152, 267, 14208, 641, 15552, 13922, 547, 5352, 4656, 540, 7486, 25266, 610, 874, 753, 538, 22703, 5607, 543, 1151, 7228, 2564, 543, 2489, 5351, 585, 873, 269, 3414, 14223, 2069, 543, 1382, 267, 543, 8220, 609, 4810, 5640, 267, 14208, 641, 15552, 29954, 2231, 547, 3895, 606, 3486, 2797, 5943, 585, 519, 4027, 540, 610, 874, 753, 2713, 538, 513, 1158, 609, 7486, 25266, 563, 2414, 1451, 811, 267, 5225, 3643, 281, 4179, 2517, 4178, 7456, 326, 23336, 336, 13318, 3482, 3820, 30819, 1926, 1532, 13717, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 12892, 10456, 2920, 13659, 257, 607, 851, 540, 834, 28765, 22723, 13493, 1315, 17104, 1299, 21337, 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, 17138, 281, 1215, 547, 2142, 6145, 7136, 773, 13332, 689, 634, 1849, 1664, 676, 700, 27599, 26858, 692, 7072, 912, 22709, 773, 13332, 568, 519, 1292, 1915, 538, 700, 27599, 26858, 781, 2442, 1433, 3126, 267, 634, 595, 1849, 18311, 781, 267, 1352, 568, 519, 6205, 540, 606, 16918, 1895, 540, 2828, 1572, 519, 30474, 9730, 693, 1200, 1647, 1153, 267, 543, 1352, 608, 26360, 6015, 267, 2511, 267, 543, 1347, 1143, 320, 269, 2755, 1373, 4010, 899, 7136, 773, 949, 581, 7543, 267, 713, 3391, 786, 948, 596, 18220, 930, 540, 1200, 1034, 8098, 10928, 7592, 543, 2661, 707, 1272, 609, 811, 1093, 1047, 543, 1582, 12431, 4269, 269, 8528, 3721, 476, 272, 281, 3763, 30151, 454, 15008, 912, 22709, 773, 814, 796, 3333, 752, 762, 1582, 21873, 602, 11710, 689, 18468, 538, 9887, 543, 9301, 1200, 9342, 269, 1677, 1020, 971, 6015, 267, 1376, 676, 14344, 707, 1378, 15421, 543, 18517, 269, 10312, 593, 2318, 14751, 725, 827, 3054, 3232, 780, 7659, 9669, 1299, 13832, 912, 268, 6657, 1434, 14302, 607, 621, 5540, 1312, 707, 7099, 543, 1004, 781, 8226, 540, 596, 269, 5901, 707, 2212, 909, 1164, 267, 17525, 1394, 267, 543, 2226, 3750, 3346, 1282, 7391, 563, 268, 6258, 1007, 1983, 610, 12348, 547, 4228, 707, 4313, 7997, 267, 799, 666, 2333, 707, 2949, 2631, 540, 16169, 543, 1582, 2914, 2180, 563, 268, 28259, 3054, 609, 11215, 2043, 945, 10575, 3424, 543, 5000, 596, 3079, 540, 8380, 596, 1524, 780, 3721, 476, 273, 281, 28389, 2659, 22960, 23281, 454, 15008, 912, 22709, 773, 568, 1634, 585, 1200, 30664, 764, 762, 6752, 6492, 543, 2189, 2123, 2511, 269, 25947, 707, 20758, 549, 2041, 1281, 711, 8209, 1611, 8840, 519, 4871, 282, 2864, 267, 1445, 593, 4466, 9660, 602, 3514, 1134, 267, 1166, 2660, 707, 1560, 1826, 267, 543, 2992, 707, 7209, 780, 7659, 9669, 1299, 13832, 912, 268, 3194, 1699, 6752, 3466, 2228, 267, 998, 17476, 267, 610, 1514, 2923, 5867, 899, 17749, 543, 26964, 269, 1717, 267, 3314, 602, 3020, 2511, 25186, 7904, 7566, 535, 6758, 563, 268, 7767, 538, 2298, 4773, 602, 616, 11684, 2614, 547, 3575, 543, 6474, 609, 1585, 856, 22327, 563, 268, 7457, 528, 1125, 14013, 1210, 14446, 267, 10077, 1407, 267, 1688, 321, 4711, 267, 610, 10887, 602, 9148, 707, 28459, 1510, 936, 12741, 532, 621, 780, 3721, 476, 274, 281, 9457, 4317, 18264, 22761, 454, 15008, 912, 22709, 773, 19299, 5140, 25654, 543, 17358, 1697, 28972, 950, 15025, 609, 1866, 269, 901, 2882, 6616, 875, 547, 6338, 13951, 267, 20006, 7391, 267, 543, 6330, 6101, 3871, 30780, 780, 7659, 9669, 1299, 13832, 912, 268, 2422, 30251, 1893, 267, 2232, 1004, 31635, 267, 543, 2057, 27325, 610, 19020, 9644, 538, 3318, 5468, 563, 268, 8058, 9758, 1719, 538, 1018, 824, 1004, 723, 547, 2161, 676, 8362, 6947, 543, 6998, 15826, 2055, 563, 268, 11408, 6494, 9684, 3917, 537, 4967, 16425, 1310, 8391, 13344, 610, 11504, 2621, 1141, 2576, 4682, 856, 540, 741, 1259, 547, 1118, 596, 1745, 10950, 780, 3721, 476, 275, 281, 12706, 16200, 14886, 4721, 454, 15008, 912, 22709, 773, 27788, 9887, 609, 10121, 2828, 945, 2671, 1455, 4690, 543, 2418, 269, 8490, 2178, 17052, 3340, 942, 267, 4674, 267, 543, 3929, 5092, 780, 7659, 9669, 1299, 13832, 912, 268, 10576, 7907, 1898, 538, 1761, 2828, 267, 971, 607, 19969, 267, 11587, 267, 10727, 267, 543, 1489, 4369, 563, 268, 5269, 606, 4674, 547, 1921, 5781, 609, 707, 2828, 267, 2436, 12303, 610, 538, 1268, 269, 32655, 2833, 7794, 7554, 1063, 1004, 563, 268, 20644, 6351, 610, 19015, 8164, 2009, 267, 6029, 707, 2828, 789, 2339, 547, 596, 1175, 607, 1454, 607, 789, 1416, 827, 596, 780, 3721, 476, 276, 281, 1401, 3031, 527, 15557, 10341, 454, 15008, 912, 22709, 773, 5012, 1200, 1895, 540, 2828, 18390, 1247, 6967, 1930, 547, 10372, 543, 23712, 3927, 609, 873, 269, 18224, 532, 5718, 5759, 3322, 2921, 11036, 267, 11744, 3375, 6194, 7207, 267, 543, 11121, 3972, 1851, 9905, 780, 7659, 9669, 1299, 13832, 912, 268, 25506, 3255, 585, 6454, 1369, 707, 2146, 610, 1153, 543, 15974, 3435, 30082, 563, 268, 19415, 18906, 1947, 547, 1114, 5380, 1354, 1818, 3664, 543, 2015, 3403, 5402, 1354, 9117, 2390, 621, 563, 268, 23512, 790, 1346, 1472, 596, 676, 4259, 24276, 3853, 267, 4509, 15131, 267, 543, 14120, 1967, 1927, 780, 6962, 912, 4407, 4742, 9838, 547, 7136, 773, 13332, 1522, 711, 581, 15164, 267, 6220, 2609, 540, 1200, 1915, 883, 707, 1272, 666, 1291, 547, 2799, 6015, 267, 4824, 14375, 3347, 267, 543, 15398, 1582, 18221, 269, 1635, 1739, 891, 3268, 543, 8508, 707, 22464, 267, 596, 1932, 666, 1831, 513, 811, 23518, 4528, 540, 3054, 269, 0, 2237, 513, 1279, 543, 1360, 2143, 5850, 593, 834, 6826, 6145, 7136, 773, 13332, 630, 5228, 519, 1849, 1664, 676, 700, 27599, 26858, 17983, 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, 3848, 476, 272, 281, 4985, 547, 12430, 14691, 538, 5295, 7177, 692, 30791, 5752, 630, 10861, 264, 568, 513, 6310, 11938, 1505, 602, 814, 1336, 1713, 3156, 538, 1585, 4610, 267, 1519, 1379, 4702, 269, 700, 303, 9388, 609, 17306, 5276, 6859, 267, 971, 607, 21924, 7443, 610, 10893, 1942, 267, 1641, 547, 10148, 6719, 676, 5276, 4834, 610, 16526, 269, 769, 713, 3184, 267, 649, 786, 2263, 875, 700, 303, 666, 581, 4294, 547, 4194, 1950, 2042, 538, 1379, 4702, 1949, 780, 4089, 476, 272, 269, 272, 281, 11137, 540, 5295, 7177, 7010, 692, 20175, 4702, 3322, 8888, 267, 5665, 267, 543, 4509, 1804, 8397, 3167, 1379, 1949, 602, 10141, 543, 15814, 5122, 1648, 689, 2959, 899, 8093, 10173, 267, 6046, 26119, 267, 2842, 18434, 267, 543, 3859, 8440, 269, 1452, 1949, 2874, 540, 1896, 3334, 267, 971, 607, 18402, 267, 2981, 619, 267, 6467, 613, 1513, 267, 6771, 3515, 267, 543, 13907, 269, 1677, 2327, 3608, 543, 6325, 5106, 267, 621, 568, 1898, 547, 2015, 2188, 971, 607, 4390, 7182, 267, 6453, 2157, 267, 6617, 267, 3354, 267, 543, 9297, 269, 901, 6988, 2306, 700, 303, 513, 3407, 1907, 585, 6061, 1082, 4101, 2042, 5185, 676, 1379, 8030, 780, 4089, 476, 272, 269, 273, 281, 10241, 540, 700, 303, 538, 5295, 7177, 692, 10861, 814, 1044, 4922, 1031, 538, 1585, 3344, 540, 1379, 4702, 267, 971, 607, 6099, 1379, 2095, 2079, 267, 11718, 20319, 267, 3060, 11028, 14808, 4851, 267, 5826, 4058, 267, 543, 7269, 4058, 269, 1635, 7311, 700, 303, 2553, 267, 891, 2042, 666, 581, 12193, 7561, 1247, 4180, 23250, 543, 5688, 1275, 269, 1280, 1383, 267, 700, 303, 666, 948, 3313, 519, 1655, 4999, 540, 10451, 4559, 547, 2743, 4452, 3747, 693, 5934, 1942, 1247, 17598, 2930, 4170, 971, 607, 18343, 15395, 19114, 267, 12998, 6042, 267, 543, 19856, 3928, 269, 3958, 267, 700, 303, 3631, 723, 849, 1044, 6964, 547, 2232, 6932, 2591, 2404, 609, 7791, 1648, 5610, 267, 971, 607, 20925, 6959, 267, 13260, 267, 10462, 267, 543, 954, 2466, 1084, 1097, 780, 4089, 476, 272, 269, 274, 281, 4813, 6819, 700, 303, 17738, 585, 5295, 7177, 10819, 692, 13528, 6819, 606, 700, 303, 2203, 5956, 609, 10747, 3375, 4632, 267, 6662, 3252, 267, 543, 10148, 269, 17423, 4632, 2099, 9424, 547, 581, 5462, 267, 971, 607, 3742, 1379, 17016, 540, 18402, 610, 4567, 540, 17063, 17176, 538, 5121, 269, 20638, 3252, 14574, 519, 3804, 540, 11938, 267, 3335, 6829, 607, 513, 5276, 1599, 8204, 2698, 1062, 3790, 610, 2640, 269, 4790, 571, 6493, 4766, 519, 2168, 7687, 13684, 593, 519, 1966, 267, 2356, 6719, 607, 15821, 7215, 5473, 3375, 4632, 543, 6724, 6508, 689, 1062, 1239, 543, 16551, 269, 4495, 19775, 7157, 267, 519, 4611, 700, 303, 2203, 666, 1287, 581, 9916, 1210, 3044, 6620, 8045, 538, 3301, 15004, 971, 607, 8713, 4041, 311, 267, 717, 4456, 306, 267, 610, 30731, 780, 1103, 3932, 267, 700, 303, 2488, 513, 3532, 5943, 585, 5466, 1950, 11938, 2042, 11402, 538, 1379, 4702, 269, 4197, 519, 17950, 540, 700, 303, 9781, 543, 3498, 568, 2565, 585, 3384, 5499, 3435, 6322, 693, 5355, 4398, 267, 10727, 267, 6940, 267, 543, 26622, 540, 2104, 1379, 1949, 269, 1306, 519, 2872, 5170, 547, 11457, 2509, 811, 18228, 25121, 1759, 593, 7856, 2200, 267, 3209, 4485, 10128, 700, 303, 609, 824, 11938, 2409, 786, 1831, 5051, 1271, 538, 5935, 519, 7470, 781, 4720, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 2260, 306, 22076, 2641, 22077, 281, 270, 303, 4488, 270, 3918, 309, 3041 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 883, 519, 6300, 1586, 269, 1809, 711, 24497, 2725, 597, 1744, 777, 10098, 269, 634, 1985, 6640, 267, 646, 4951, 909, 267, 32127, 267, 1767, 1434, 6640, 543, 15336, 538, 899, 4986, 5949, 269, 2311, 519, 1439, 267, 519, 855, 7815, 543, 1010, 7649, 1185, 547, 598, 1027, 324, 602, 789, 941, 2469, 547, 798, 621, 1010, 1259, 563, 2467, 568, 849, 519, 10071, 1759, 593, 10300, 778, 1695, 602, 513, 32748, 1156, 945, 568, 711, 513, 590, 30117, 20626, 1058, 711, 546, 1075, 1156, 630, 1056, 1354, 519, 30798, 543, 24969, 519, 17308, 569, 26460, 1040, 769, 8895, 2088, 267, 972, 15151, 941, 513, 2603, 540, 737, 2129, 29434, 945, 941, 711, 590, 30117, 24319, 855, 945, 18562, 4682, 909, 547, 546, 1075, 1156, 269, 634, 1101, 942, 789, 1705, 602, 646, 11074, 873, 538, 519, 1647, 267, 1572, 856, 519, 4408, 540, 1346, 945, 941, 964, 1815, 7992, 519, 590, 30117, 543, 5143, 873, 547, 1205, 1055, 563, 2026, 596, 666, 1294, 267, 646, 729, 711, 1152, 513, 1268, 540, 2178, 31710, 855, 540, 4401, 786, 543, 1390, 8229, 269, 1261, 2877, 891, 10305, 538, 1931, 547, 3035, 1010, 1082, 1390, 18517, 269, 0, 297, 28779, 16639, 540, 519, 2622, 454, 2421, 12253, 15541, 990, 454, 5415, 982, 1614, 8536, 1296, 3516, 267, 538, 1931, 547, 16102, 519, 3638, 24996, 1286, 822, 753, 602, 941, 1818, 741, 1259, 998, 519, 8092, 540, 2701, 9346, 267, 3751, 21125, 2366, 7980, 689, 13243, 547, 519, 7013, 9133, 540, 519, 26768, 18686, 269, 18833, 602, 789, 1131, 4440, 2760, 2132, 547, 519, 8871, 2213, 8092, 267, 519, 7980, 1305, 1055, 609, 741, 24726, 543, 1453, 269, 4495, 972, 267, 538, 519, 2244, 2221, 1634, 607, 29874, 267, 519, 3885, 12306, 538, 585, 513, 12675, 3251, 267, 543, 585, 5176, 1614, 8536, 1296, 519, 7642, 540, 29874, 941, 2759, 1055, 267, 711, 1152, 689, 741, 6014, 14552, 543, 19946, 267, 855, 585, 782, 4052, 5301, 267, 689, 519, 1964, 540, 519, 1158, 607, 1134, 563, 8601, 519, 922, 10072, 267, 519, 2146, 9856, 539, 922, 3909, 543, 2686, 5389, 1990, 7002, 3585, 269, 1703, 729, 17573, 3346, 609, 519, 10513, 8092, 267, 855, 713, 729, 865, 3908, 602, 2394, 519, 476, 1704, 628, 2540, 267, 31163, 525, 4797, 547, 5299, 519, 13411, 2835, 676, 1688, 269, 634, 8228, 2046, 729, 5189, 883, 29874, 1152, 538, 519, 476, 1240, 628, 2540, 563, 1103, 476, 4198, 271, 513, 5458, 2011, 331, 3424, 267, 1631, 1634, 607, 834, 23330, 566, 18903, 2961, 7065, 257, 4547, 9937, 540, 5215, 540, 29874, 328, 7642, 547, 5840, 269, 10251, 267, 711, 782, 945, 4941, 547, 2097, 547, 5840, 941, 4847, 547, 4734, 29874, 267, 543, 2394, 5063, 1896, 8536, 3885, 7283, 972, 269, 3973, 930, 1296, 3516, 267, 538, 513, 1360, 5728, 5106, 540, 4108, 8856, 1572, 834, 23330, 566, 18903, 2961, 7065, 476, 273, 2437, 5176, 782, 540, 519, 6967, 7642, 540, 29874, 941, 4547, 547, 5840, 563, 2691, 519, 7642, 540, 29874, 8452, 538, 5840, 267, 789, 4547, 609, 873, 606, 3504, 543, 10427, 11477, 2245, 269, 1656, 1454, 540, 1018, 789, 4547, 814, 1831, 851, 540, 519, 4948, 24214, 602, 666, 1631, 581, 1336, 2429, 5840, 269, 2201, 606, 2949, 4493, 267, 1082, 17417, 723, 16053, 29874, 328, 11951, 267, 19101, 602, 621, 568, 834, 1729, 334, 16678, 257, 585, 519, 5375, 31370, 269, 898, 568, 3020, 602, 2757, 24214, 689, 29874, 2882, 971, 8286, 607, 28777, 1327, 755, 338, 267, 855, 519, 5168, 568, 602, 891, 616, 1100, 811, 834, 1410, 5328, 257, 982, 519, 6612, 519, 3943, 723, 585, 25658, 610, 519, 32228, 2103, 723, 585, 4262, 2712, 577, 1231, 563, 763, 1034, 11347, 8286, 540, 519, 6014, 25286, 18779, 328, 10051, 616, 8949, 855, 711, 693, 782, 16678, 267, 543, 7048, 8185, 593, 23758, 267, 4573, 2023, 543, 14132, 269, 26006, 568, 1031, 4749, 538, 10346, 607, 616, 14274, 267, 31480, 543, 17228, 269, 11153, 2523, 17705, 19471, 3694, 338, 616, 849, 1271, 547, 713, 3434, 2044, 269, 1656, 267, 1317, 713, 568, 519, 11951, 540, 513, 1004, 602, 941, 711, 3921, 27274, 14547, 267, 5176, 782, 540, 519, 3536, 1031, 616, 3362, 543, 538, 10339, 13208, 2139, 269, 1548, 2306, 519, 11951, 2189, 568, 519, 11029, 946, 540, 11922, 543, 14546, 2059, 609, 513, 1906, 2189, 855, 3362, 27058, 5986, 2409, 563, 12812, 1934, 585, 10346, 563, 25405, 1408, 15541, 990, 568, 519, 13962, 543, 9174, 10404, 585, 519, 3232, 11356, 12794, 262, 15756, 345, 269, 1261, 568, 849, 519, 9972, 5856, 585, 29879, 543, 717, 712, 5471, 18225, 543, 8309, 11477, 543, 9174, 4930, 547, 14786, 538, 2342, 543, 519, 2136, 2276, 563, 13126, 281, 18303, 14579, 12080, 543, 15541, 990, 781, 681, 3711, 13530, 269, 3115, 11781, 539, 609, 10479, 269, 0, 16829, 676, 533, 4599, 3873, 593, 11016, 267, 5181, 476, 1789, 267, 476, 1001, 272, 693, 476, 272, 281, 6246, 600, 563, 817, 793, 513, 4756, 585, 1142, 1297, 269, 769, 713, 2013, 267, 596, 1223, 946, 519, 3009, 602, 513, 284, 272, 267, 536, 284, 273, 267, 524, 284, 274, 267, 546, 284, 275, 3092, 269, 645, 7473, 267, 972, 568, 513, 476, 271, 602, 2115, 547, 581, 20039, 585, 269, 5502, 798, 513, 284, 334, 267, 536, 284, 272, 267, 524, 284, 273, 267, 546, 284, 274, 267, 3092, 563, 1263, 1501, 910, 1215, 798, 649, 2328, 476, 2918, 949, 476, 1001, 272, 538, 2947, 5022, 1510, 1210, 2338, 454, 4338, 2316, 307, 11070, 292, 910, 670, 8582, 27114, 25723, 654, 305, 25492, 476, 1691, 590, 7968, 307, 4932, 21612, 476, 1001, 272, 15760, 2475, 5058, 674, 25893, 700, 4953, 307, 8991, 23166, 27345, 4429, 2102, 1968, 910, 875, 547, 2328, 476, 2918, 628, 949, 476, 1001, 272, 538, 2947, 5022, 1510, 1210, 2338, 454, 6011, 547, 2328, 476, 273, 526, 949, 476, 1001, 272, 538, 476, 276, 5022, 1510, 721, 328, 910, 875, 547, 2328, 476, 273, 526, 949, 476, 1001, 272, 4429, 4118, 910, 875, 798, 596, 2328, 476, 2420, 628, 15292, 476, 1001, 272, 538, 476, 276, 5022, 1510, 1210, 2338, 454, 25791, 2090, 910, 875, 798, 649, 2328, 476, 273, 526, 795, 2317, 476, 1001, 272, 538, 2947, 5022, 1510, 1210, 513, 4429, 6390, 910, 875, 798, 579, 2328, 476, 2764, 949, 476, 1001, 272, 538, 476, 276, 5022, 1510, 1210, 2338, 888, 13043, 338, 910, 1215, 547, 2328, 476, 866, 10790, 312, 476, 1001, 272, 1510, 1210, 2338, 538, 476, 280, 5022, 15017, 2102, 1968, 1702, 910, 1215, 798, 579, 2328, 476, 278, 555, 949, 476, 1001, 272, 538, 476, 276, 5022, 1510, 1210, 4429, 4118, 338, 910, 875, 798, 579, 2328, 476, 278, 628, 5104, 569, 476, 1001, 272, 538, 476, 276, 5022, 1510, 1210, 2338, 888, 2690, 4329, 7335, 0, 10303, 972, 616, 1100, 2842, 18434, 8704, 538, 2475, 7297, 267, 972, 568, 513, 17732, 540, 2565, 1239, 593, 519, 2825, 543, 1694, 532, 2360, 540, 18434, 543, 593, 519, 10380, 267, 4238, 543, 5826, 540, 18434, 269, 901, 3668, 540, 1239, 11479, 519, 3790, 540, 14104, 2475, 21369, 2842, 3785, 547, 519, 1448, 1141, 14104, 10997, 2272, 585, 10199, 3368, 540, 519, 1942, 540, 21369, 2842, 1648, 267, 2687, 547, 519, 2475, 8549, 6554, 779, 4972, 540, 6052, 563, 305, 14445, 532, 9228, 4220, 547, 9520, 538, 2842, 1648, 3785, 1131, 3142, 519, 10958, 3815, 1524, 689, 513, 1699, 7447, 540, 476, 736, 260, 547, 513, 3077, 1377, 540, 476, 279, 9077, 2687, 547, 519, 1684, 292, 563, 763, 2475, 21369, 2842, 2872, 568, 1134, 3297, 2342, 269, 15729, 6489, 267, 519, 2136, 2276, 685, 1101, 21369, 2842, 3484, 267, 4607, 922, 3803, 11863, 689, 519, 15525, 10029, 538, 4989, 267, 543, 4070, 1058, 1376, 2663, 713, 1032, 269, 1809, 621, 814, 1044, 2484, 689, 2653, 269, 898, 814, 3144, 4557, 1296, 585, 519, 1788, 547, 3914, 713, 1448, 543, 1107, 1247, 9533, 5032, 1533, 6608, 616, 6158, 9797, 827, 3384, 2842, 1648, 6080, 910, 15729, 6489, 568, 1134, 6619, 540, 1022, 824, 21369, 2842, 11396, 6069, 538, 519, 2475, 563, 10521, 540, 519, 1883, 8549, 5716, 26545, 17331, 547, 1020, 519, 5989, 585, 606, 21369, 2842, 1648, 2872, 616, 519, 4972, 540, 519, 5113, 543, 519, 4972, 540, 519, 25181, 269, 1684, 296, 814, 9645, 9021, 585, 1694, 532, 543, 28498, 2152, 538, 2475, 7297, 563, 29310, 267, 519, 3493, 25902, 3370, 513, 968, 13233, 5510, 17060, 6489, 892, 4640, 538, 5988, 269, 898, 14439, 1079, 2565, 6859, 281, 547, 2569, 519, 1942, 540, 21369, 2842, 1648, 543, 547, 2569, 519, 15415, 585, 17293, 269, 634, 4640, 6663, 547, 3035, 602, 998, 1489, 585, 2029, 1646, 267, 2344, 11064, 8851, 543, 4359, 2029, 17431, 563, 763, 5510, 17060, 6489, 15613, 5036, 856, 513, 13374, 585, 4227, 519, 1942, 540, 2475, 21369, 2842, 1648, 689, 1269, 271, 269, 2767, 829, 737, 2662, 538, 476, 1001, 271, 547, 1269, 271, 269, 5881, 829, 737, 2662, 538, 476, 10711, 271, 269, 634, 1699, 15977, 540, 8704, 3854, 3790, 585, 21369, 2842, 538, 2475, 7297, 568, 1269, 275, 267, 7742, 829, 737, 310, 267, 2687, 547, 519, 2475, 2817, 24997, 6052, 12524, 269, 634, 13374, 4566, 585, 606, 2333, 538, 519, 3328, 17081, 12773, 689, 476, 274, 269, 277, 300, 310, 547, 476, 1015, 300, 310, 267, 606, 3328, 17081, 4390, 3815, 6454, 689, 476, 4375, 260, 547, 476, 3393, 9077, 1247, 5499, 3334, 609, 7471, 1374, 1223, 3142, 3854, 3790, 1524, 2509, 519, 4640, 3804, 540, 1269, 273, 267, 7785, 829, 737, 310, 563, 2414, 2759, 3790, 676, 4227, 4220, 547, 9520, 267, 519, 1684, 292, 786, 1489, 1646, 540, 24019, 17081, 2773, 3631, 602, 8308, 3589, 1788, 17016, 269, 1358, 786, 849, 7119, 538, 519, 1646, 540, 1374, 9479, 543, 4441, 547, 2327, 1732, 17081, 10727, 269, 1635, 24574, 1359, 538, 23405, 540, 4359, 21369, 2842, 4066, 267, 519, 1684, 292, 786, 10994, 11994, 540, 2029, 1981, 563, 305, 22936, 3292, 609, 1684, 292, 1489, 786, 581, 8045, 538, 9316, 609, 519, 3864, 21369, 2842, 2872, 543, 519, 2475, 21369, 3282, 543, 3154, 2872, 563, 763, 4972, 540, 519, 25181, 1185, 4505, 3370, 922, 968, 27319, 689, 519, 3399, 892, 11036, 547, 20928, 519, 13170, 1184, 585, 2842, 3484, 3785, 593, 519, 9018, 18626, 15808, 1055, 519, 5101, 5032, 540, 519, 2136, 2276, 10200, 27319, 689, 519, 3399, 685, 568, 5009, 606, 954, 698, 1890, 1184, 547, 2697, 4609, 609, 6099, 2825, 267, 2520, 26491, 543, 2842, 4199, 10305, 269, 1656, 513, 6252, 3950, 547, 1184, 3156, 547, 1628, 21369, 6771, 3515, 814, 849, 1044, 3964, 563, 19950, 532, 2842, 1648, 5989, 3785, 616, 11543, 4357, 5823, 1489, 269, 5616, 568, 835, 540, 519, 2101, 9520, 538, 513, 9709, 476, 28794, 5998, 17489, 1269, 276, 5479, 1379, 2048, 3724, 14752, 685, 602, 1131, 12701, 689, 9098, 547, 1715, 14948, 267, 2870, 513, 3060, 585, 476, 277, 269, 277, 28047, 540, 2842, 4390, 269, 5071, 543, 28498, 1058, 581, 6192, 676, 476, 1001, 274, 267, 609, 519, 1101, 3296, 267, 1063, 1715, 14948, 543, 26609, 3710, 676, 476, 1001, 277, 11482, 690, 538, 547, 2022, 8292, 0, 763, 9649, 1532, 520, 8367, 1100, 3476, 666, 8038, 269, 898, 13793, 338, 20386, 538, 21736, 10627, 12209, 267, 3843, 547, 12404, 689, 519, 22815, 1424, 6514, 540, 2601, 269, 1677, 2322, 602, 538, 21055, 2474, 281, 31379, 723, 8959, 547, 1118, 1022, 20310, 4661, 585, 519, 9649, 4829, 10627, 607, 606, 7778, 585, 519, 1082, 8289, 532, 5359, 540, 10760, 533, 614, 617, 716, 2643, 338, 538, 519, 5045, 7414, 267, 1519, 538, 14466, 7699, 1715, 19892, 563, 9989, 513, 968, 326, 5050, 892, 10627, 609, 513, 2766, 835, 10759, 1279, 2491, 513, 968, 335, 614, 617, 716, 2643, 892, 609, 513, 2766, 968, 520, 2547, 892, 4557, 610, 19939, 3952, 1279, 630, 295, 617, 326, 330, 8657, 779, 674, 1231, 577, 327, 2378, 523, 8289, 532, 538, 476, 3707, 275, 21663, 6496, 602, 968, 325, 2391, 16541, 892, 4829, 10627, 609, 513, 12209, 3966, 540, 2947, 3952, 2491, 513, 10760, 13442, 609, 513, 12209, 3966, 540, 476, 1789, 268, 2004, 3952, 630, 8110, 628, 6282, 675, 540, 476, 1960, 278, 21663, 1548, 8289, 532, 1281, 621, 2491, 267, 950, 649, 1205, 1318, 1524, 547, 621, 286, 7183, 888, 763, 968, 325, 2391, 16541, 892, 10627, 814, 1044, 6035, 607, 513, 2489, 2856, 547, 14962, 8289, 902, 602, 13915 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1292, 6864, 11717, 538, 519, 1353, 1858, 568, 519, 16592, 30083, 26226, 910, 13722, 31350, 17675, 6864, 11717, 1950, 267, 4092, 538, 519, 14680, 543, 12373, 558, 924, 12074, 269, 898, 568, 3622, 16876, 543, 4299, 676, 519, 6237, 654, 301, 310, 910, 661, 10345, 543, 715, 20911, 910, 9399, 310, 13337, 1949, 5018, 1657, 630, 8993, 269, 476, 2764, 269, 273, 1040, 769, 519, 7013, 543, 9456, 2694, 540, 3162, 667, 984, 549, 613, 320, 267, 519, 2620, 6864, 11717, 1950, 568, 9674, 689, 519, 590, 1301, 520, 1014, 6864, 11717, 676, 513, 7354, 20897, 6864, 527, 731, 9967, 5631, 540, 25879, 543, 2261, 331, 269, 634, 2067, 10465, 540, 519, 16592, 30083, 26226, 910, 13722, 31350, 17675, 6864, 11717, 568, 519, 7167, 573, 6072, 910, 29191, 21355, 340, 674, 5435, 630, 8993, 269, 476, 2764, 269, 275, 1040, 634, 2650, 345, 6248, 2627, 6920, 602, 519, 16592, 30083, 26226, 910, 13722, 31350, 17675, 6864, 11717, 568, 13859, 689, 519, 10089, 326, 4115, 8513, 267, 1141, 519, 16592, 30083, 26226, 12074, 856, 7693, 1547, 634, 6864, 11717, 17579, 525, 7532, 1189, 547, 519, 4563, 7256, 543, 22583, 1189, 547, 8235, 13961, 583, 724, 2723, 269, 898, 568, 849, 13859, 676, 7299, 829, 3712, 566, 689, 519, 590, 1301, 520, 1014, 6864, 11717, 538, 519, 7262, 851, 540, 3162, 667, 984, 549, 613, 320, 269, 13966, 519, 5032, 267, 519, 2650, 345, 6248, 7252, 540, 519, 16592, 30083, 26226, 910, 13722, 31350, 17675, 6864, 11717, 616, 2362, 982, 1346, 540, 519, 590, 1301, 566, 6864, 11717, 4611, 538, 16057, 7299, 2095, 563, 763, 27727, 3928, 693, 519, 10380, 540, 519, 19401, 616, 1472, 476, 2420, 561, 4882, 538, 519, 29684, 3625, 476, 276, 267, 1472, 476, 278, 269, 276, 561, 4882, 538, 519, 29684, 3625, 476, 1015, 543, 1472, 476, 277, 269, 277, 561, 4882, 538, 519, 29684, 3625, 476, 1724, 563, 24078, 713, 2376, 5363, 286, 0, 3528, 693, 5130, 476, 1789, 476, 1708, 271, 476, 1626, 281, 6321, 281, 4343, 454, 15987, 1053, 1522, 1265, 519, 1568, 540, 9956, 513, 3787, 9157, 2705, 1603, 606, 1557, 568, 711, 607, 2182, 607, 930, 540, 519, 1053, 1589, 269, 9956, 781, 1568, 616, 1390, 2959, 540, 9913, 267, 1344, 543, 21481, 543, 1118, 4277, 3584, 547, 2328, 827, 563, 1103, 2013, 596, 616, 1134, 693, 8897, 609, 519, 4729, 543, 3197, 540, 1022, 1880, 1404, 267, 596, 666, 3442, 21261, 894, 4828, 11762, 1759, 593, 602, 269, 3371, 519, 4161, 568, 547, 18609, 519, 5467, 540, 513, 1978, 2856, 676, 9306, 3617, 5013, 543, 7440, 269, 634, 10700, 6662, 1131, 581, 547, 6961, 606, 6644, 593, 1022, 11786, 1641, 899, 519, 2669, 15163, 610, 16377, 269, 1677, 2285, 513, 3280, 1374, 596, 3513, 991, 513, 5934, 540, 1614, 5885, 5013, 547, 1394, 621, 909, 563, 1607, 568, 1141, 1557, 6351, 2501, 538, 269, 589, 2034, 6644, 568, 2141, 3730, 693, 519, 1655, 540, 2053, 267, 543, 585, 707, 2093, 547, 21707, 1369, 519, 3833, 6101, 2497, 540, 1022, 4081, 1603, 621, 568, 1271, 547, 581, 15260, 3293, 602, 519, 10808, 543, 31211, 616, 782, 538, 1747, 563, 4263, 1022, 1448, 538, 1153, 543, 585, 8726, 5301, 267, 621, 568, 796, 3772, 547, 2628, 585, 1383, 20072, 269, 9796, 532, 585, 713, 568, 835, 543, 519, 1482, 3364, 607, 9878, 585, 7436, 269, 1411, 616, 1373, 20295, 585, 1945, 596, 1705, 711, 960, 585, 269, 901, 4992, 519, 1482, 607, 32533, 543, 513, 2484, 1606, 32484, 16159, 786, 2760, 1616, 547, 25010, 1010, 610, 1200, 7214, 7555, 269, 0, 8266, 523, 547, 713, 2022, 912, 21652, 7254, 4345, 619, 267, 21149, 1218, 543, 10551, 13968, 723, 1044, 10760, 1055, 519, 21684, 2479, 2094, 519, 13044, 268, 866, 12176, 729, 9307, 269, 7754, 545, 1532, 340, 3539, 543, 11876, 8973, 1671, 4240, 267, 607, 1004, 941, 12922, 540, 3478, 7783, 609, 519, 11452, 602, 12090, 689, 3624, 563, 6624, 540, 873, 941, 3909, 569, 11067, 741, 3946, 543, 1210, 7254, 4345, 619, 607, 4966, 1767, 602, 519, 2068, 729, 3262, 998, 3346, 609, 20256, 269, 1717, 267, 972, 568, 1945, 1572, 968, 1729, 334, 1454, 540, 513, 1434, 3364, 892, 1317, 1631, 267, 972, 616, 930, 2564, 4966, 602, 1767, 602, 1210, 1932, 1454, 4568, 2861, 1688, 7254, 4345, 619, 666, 2965, 6318, 519, 1981, 540, 3968, 998, 2960, 4713, 563, 6097, 547, 3567, 4653, 267, 4966, 1767, 602, 11067, 707, 3946, 609, 12853, 1932, 1082, 2053, 666, 723, 519, 6587, 1198, 269, 901, 568, 1317, 11067, 609, 12853, 1932, 1419, 666, 705, 8565, 519, 2960, 267, 4617, 2287, 922, 2702, 547, 960, 607, 513, 11064, 547, 1832, 7509, 538, 543, 5739, 8069, 856, 563, 8794, 4568, 2861, 7254, 4345, 619, 23494, 543, 11067, 707, 3946, 568, 711, 1434, 1317, 621, 666, 4894, 968, 7538, 9190, 18508, 6100, 901, 9190, 18508, 25151, 519, 2960, 543, 2337, 547, 535, 754, 1055, 1022, 12289, 540, 23633, 8069, 971, 607, 6862, 21552, 563, 288, 22557, 30513, 540, 5545, 7082, 543, 3114, 2472, 20536, 918, 7776, 29651, 1767, 267, 968, 8170, 1576, 267, 621, 568, 2556, 547, 11547, 3946, 543, 946, 4568, 2861, 1688, 7254, 4345, 619, 538, 1931, 547, 2569, 6771, 540, 519, 1007, 3644, 267, 855, 936, 4777, 532, 4376, 568, 711, 1434, 3034, 19602, 267, 4568, 2861, 7254, 4345, 518, 568, 849, 2147, 267, 607, 21149, 532, 609, 4568, 14145, 1161, 707, 2960, 540, 3282, 543, 1216, 269, 901, 666, 1118, 707, 2960, 11315, 543, 669, 11474, 952, 596, 946, 621, 23494, 269, 1879, 596, 946, 1932, 1454, 540, 891, 3114, 6878, 593, 707, 3946, 267, 621, 1223, 2014, 2960, 16698, 2042, 607, 519, 3339, 11064, 1599, 568, 22314, 543, 2306, 621, 811, 7925, 563, 2108, 291, 787, 543, 8697, 2960, 1223, 1831, 513, 3905, 5523, 540, 2068, 4551, 543, 849, 2333, 519, 1981, 540, 8290, 10024, 519, 1560, 998, 11912, 538, 519, 2960, 269, 1677, 2061, 3968, 267, 621, 568, 1454, 811, 1271, 547, 11547, 3946, 609, 513, 9793, 2179, 540, 12853, 585, 811, 982, 476, 1789, 7643, 538, 606, 2500, 6073, 982, 547, 11547, 3946, 1896, 2053, 513, 1554, 2223, 519, 22557, 30513, 1767, 563, 9515, 3773, 602, 1004, 1058, 849, 26763, 741, 3946, 609, 513, 1957, 24621, 610, 2973, 24621, 1310, 11067, 269, 901, 568, 1317, 6632, 3946, 666, 1291, 547, 2960, 4713, 543, 5512, 13596, 547, 8936, 547, 519, 3946, 269, 2701, 849, 15695, 519, 1857, 547, 4019, 2603, 542, 610, 5848, 584, 2358, 8645, 1310, 602, 607, 621, 2337, 547, 1832, 519, 2960, 689, 669, 6260, 543, 7794, 519, 11064, 563, 4407, 621, 779, 1434, 547, 26821, 1434, 2123, 9882, 971, 607, 11067, 3946, 267, 3314, 711, 547, 936, 4777, 621, 2336, 300, 4596, 281, 589, 3794, 18583, 20553, 519, 22032, 540, 631, 779, 1014, 13571, 2000, 29794, 2334, 4024, 4347, 17802, 5269, 2974, 18461, 717, 3433, 995, 547, 13773, 693, 5851, 454, 2026, 649, 6560, 609, 14577, 547, 1272, 693, 1753, 1282, 519, 631, 4596, 1974, 267, 519, 4395, 11060, 4600, 616, 1981, 532, 741, 2729, 2483, 300, 779, 2103, 2052, 3767, 2776, 268, 24576, 634, 21832, 670, 308, 288, 25446, 296, 623, 2412, 1299, 2859, 10396, 299, 12114, 1341, 5192, 5455, 1677, 681, 300, 272, 269, 274, 298, 29247, 2986, 17676, 717, 22284, 2336, 27319, 7483, 10344, 814, 9090, 2097, 513, 1360, 1279, 1259, 538, 519, 2250, 476, 1015, 1296, 267, 952, 596, 1589, 827, 621, 269, 1809, 2483, 300, 4596, 27834, 6651, 281, 476, 275, 9669, 1280, 4477, 20439, 31509, 7699, 681, 636, 1695, 338, 1677, 3680, 13555, 1299, 16440, 2859, 2755, 19255, 4771, 2336, 2026, 649, 2461, 7836, 938, 2395, 1282, 519, 11873, 6513, 11352, 267, 1034, 14570, 2103, 616, 3257, 513, 1434, 2816, 676, 705, 4575, 676, 2483, 1432, 338, 7343, 1772, 7799, 1746, 11619, 1137, 2334, 3657, 2048, 32451, 32279, 28644, 539, 685, 1677, 20405, 634, 1975, 15105, 2986, 674, 820, 5240, 454, 3849, 22789, 667, 20462, 1231, 6764, 3205, 622, 6215, 1054, 5808, 12984, 2048, 14106, 1746, 685, 2755, 13985, 10740, 1849, 2216, 4438, 24522, 13560, 454, 300, 15121, 281, 476, 10204, 1715, 27418, 2986, 13044, 268, 866, 769, 17111, 1299, 476, 3199, 1715, 27418, 2598, 12737, 539, 454, 866, 4658, 595, 4381, 11109, 589, 17721, 9549, 769, 918, 1690, 836, 6736, 631, 4596, 454, 22416, 904, 1014, 15196, 1744, 4100, 9839, 12577, 9452, 2986, 3502, 9861, 589, 1076, 1677, 16202, 1280, 476, 274, 17963, 4438, 631, 4596, 454, 22416, 904, 2103, 2052, 27297, 634, 8111, 25968, 9855, 2201, 13723, 267, 476, 279, 4989, 454, 268, 17111, 273, 2395, 3516, 454, 17920, 3204, 687, 2986, 918, 783, 320, 700, 2794, 584, 3657, 3767, 13044, 268, 866, 4414, 2098, 2158, 31453, 1280, 22216, 553, 454, 268, 5164, 531, 273, 2395, 3516, 454, 295, 559, 2023, 918, 299, 267, 6129, 3118, 30958, 23392, 1299, 1452, 476, 3066, 12182, 1564, 538, 918, 299, 3657, 3767, 13044, 268, 866, 2372, 5875, 710, 2578, 637, 454, 268, 595, 1393, 273, 2395, 3516, 454, 6124, 9799, 9040, 625, 2311, 901, 11233, 9717, 1520, 22789, 22387, 8131, 27691, 3658, 1677, 13363, 23067, 3245, 13044, 268, 866, 454, 268, 5240, 273, 2395, 3516, 454, 22416, 18885, 26286, 18873, 15474, 1280, 13044, 268, 866, 267, 5617, 773, 1386, 1677, 2142, 16791, 539, 676, 25089, 918, 2465, 704, 2060, 3143, 12580, 454, 268, 9839, 12577, 273, 2395, 3516, 454, 290, 537, 921, 1299, 4256, 25595, 2401, 16202, 8307, 19676, 2060, 17491, 2991, 26121, 4934, 540, 14559, 4438, 631, 4596, 11270, 454, 268, 17111, 1556, 3108, 3516, 454, 273, 2859, 29844, 769, 918, 299, 3767, 2201, 24522, 6658, 267, 2353, 9980, 27509, 2871, 12023, 2060, 4446, 5523, 18514, 1635, 8136, 1299, 623, 11403, 300, 454, 268, 17111, 272, 1554, 3516, 454, 32715, 4315, 540, 590, 10933, 338, 2052, 25547, 633, 5455, 1677, 681, 300, 272, 267, 1220, 7201, 1715, 654, 720, 4427, 338, 573, 344, 5358, 267, 590, 904, 6751, 454, 268, 17111, 272, 1554, 3516, 454, 10144, 3657, 654, 3201, 32578, 7982, 1677, 631, 779, 807, 3245, 14135, 5221, 1358, 2052, 1406, 10500, 867, 4400, 8779, 2986, 12389, 0, 3528, 13961, 16039, 275, 18350, 272, 332, 269, 18827, 6096, 269, 2311, 13638, 267, 5239, 476, 5400, 628, 476, 1001, 280, 267, 476, 1240, 281, 4343, 281, 4510, 6751, 563, 2414, 1205, 707, 1126, 4712, 547, 10994, 476, 274, 6113, 3446, 2979, 609, 6015, 267, 621, 568, 942, 547, 6338, 1565, 11226, 693, 1753, 269, 4107, 3237, 8263, 602, 3211, 267, 2262, 2042, 543, 3308, 11269, 616, 519, 1034, 5363, 2645, 267, 855, 1082, 7340, 519, 2956, 540, 2228, 2645, 602, 2709, 3872, 1871, 269, 1403, 596, 3442, 519, 1318, 3292, 267, 596, 666, 948, 17362, 519, 1259, 585, 1967, 585, 707, 1126, 676, 6220, 1187, 267, 4101, 3756, 602, 3895, 519, 1565, 543, 1620, 540, 476, 274, 6113, 3446, 2979, 269, 3509, 2228, 2979, 3756, 616, 2966, 17033, 585, 9913, 543, 786, 711, 798, 1454, 538, 2474, 540, 3450, 707, 1126, 269, 2755, 891, 3756, 666, 581, 1187, 543, 2502, 585, 3791, 17603, 267, 596, 1616, 547, 3442, 3756, 602, 786, 2259, 519, 1983, 1373, 6026, 538, 1153, 269, 6733, 585, 3756, 543, 13410, 602, 616, 851, 540, 606, 13261, 1565, 1982, 269, 901, 1797, 602, 519, 2228, 3756, 616, 1134, 268, 2288, 339, 856, 543, 6474, 519, 1482, 1305, 540, 1983, 602, 616, 1373, 6026, 538, 519, 3791, 3446, 6437, 269, 634, 1982, 568, 11295, 4724, 1142, 1367, 2875, 543, 25361, 538, 519, 10616, 1141, 519, 1126, 568, 10010, 563, 4322, 1453, 1419, 31111, 1996, 513, 1062, 602, 814, 8959, 547, 13918, 741, 2115, 543, 513, 1507, 855, 1713, 12102, 666, 11851, 513, 25409, 26688, 3310, 1369, 3506, 1354, 5555, 771, 1263, 1645, 609, 519, 6101, 1565, 1184, 15587, 269, 901, 267, 31234, 7905, 22526, 267, 814, 3978, 6286, 585, 721, 782, 269, 30621, 681, 4821, 540, 519, 2160, 540, 17665, 5526, 547, 1683, 8903, 2963, 538, 1489, 540, 713, 3069, 269, 834, 5353, 1203, 344, 19317, 2600, 540, 782, 29802, 9038, 538, 3013, 723, 4057, 1153, 5638, 543, 1970, 594, 17988, 2437, 681, 4821, 11329, 856, 269, 834, 9199, 1424, 741, 10080, 7140, 909, 513, 5432, 4806, 281, 1358, 2253, 607, 1453, 689, 27797, 3885, 4358, 1153, 27268, 3297, 269, 1358, 798, 711, 917, 875, 547, 1224, 610, 798, 2596, 2979, 1317, 789, 616, 538, 4057, 1949, 789, 1205, 2370, 948, 269, 19663, 17140, 1419, 7140, 883, 1854, 3599, 267, 1153, 5821, 267, 14699, 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 ]
[ 514, 12889, 630, 8461, 17762, 264, 616, 9286, 607, 1614, 2010, 540, 7202, 514, 14003, 20541, 320, 1496, 291, 22835, 16927, 630, 291, 22835, 268, 2862, 543, 667, 22835, 268, 7656, 543, 1079, 2010, 540, 7202, 514, 7988, 25936, 30250, 16927, 543, 30250, 268, 2862, 269, 19239, 514, 14003, 20541, 320, 2982, 12012, 7202, 514, 267, 609, 519, 693, 2988, 673, 30704, 5119, 11744, 606, 954, 6921, 984, 983, 18287, 2305, 563, 763, 4719, 3123, 540, 1034, 18074, 17762, 30136, 609, 519, 3940, 5888, 540, 7202, 514, 281, 1826, 594, 20018, 543, 7202, 514, 521, 658, 2684, 6664, 29952, 23402, 5946, 269, 2353, 891, 5946, 616, 519, 1587, 540, 5212, 2632, 29793, 6814, 269, 634, 5946, 616, 26843, 538, 2470, 16804, 2537, 267, 2190, 2639, 21848, 5829, 2242, 540, 519, 5959, 17870, 1950, 543, 741, 2078, 547, 11528, 10172, 454, 302, 323, 2632, 29793, 6814, 616, 7202, 514, 5498, 920, 1154, 2281, 602, 7639, 585, 519, 2898, 1272, 540, 513, 2635, 5694, 269, 4495, 4522, 616, 4625, 30192, 267, 5212, 2632, 29793, 6814, 2981, 883, 513, 9921, 3942, 602, 2636, 585, 741, 6198, 5726, 267, 1247, 4509, 519, 4390, 585, 6281, 543, 5114, 776, 7202, 514, 21131, 269, 13095, 2632, 29793, 6814, 616, 849, 1767, 547, 10141, 10444, 15128, 689, 519, 7202, 514, 1790, 592, 335, 1950, 543, 5351, 538, 538, 519, 10408, 20237, 1996, 13596, 269, 4201, 15047, 545, 268, 569, 338, 23865, 1062, 602, 5849, 1418, 16279, 543, 3940, 25430, 267, 7551, 24569, 741, 15325, 269, 1717, 267, 11636, 14524, 540, 713, 1062, 3361, 676, 9067, 1993, 639, 11142, 13250, 6971, 519, 8516, 540, 5212, 2632, 29793, 6814, 543, 5555, 791, 4202, 741, 7202, 514, 5826, 4390, 269, 4197, 519, 6211, 4493, 540, 2085, 5829, 2242, 538, 1480, 5212, 2632, 29793, 6814, 568, 2629, 547, 5355, 5694, 11091, 538, 519, 11361, 563, 763, 1034, 1713, 9651, 547, 519, 3384, 8628, 24288, 4386, 950, 621, 568, 2047, 3238, 538, 519, 8194, 267, 4929, 13862, 610, 3597, 8920, 659, 3130, 267, 610, 12761, 540, 519, 5694, 10351, 267, 2164, 538, 12936, 4522, 543, 20349, 18063, 3056, 547, 9402, 4287, 540, 7202, 514, 5250, 1813, 547, 13346, 540, 5212, 2632, 29793, 6814, 676, 606, 5945, 563, 302, 323, 2632, 29793, 6814, 538, 5212, 2632, 8328, 12970, 454, 302, 323, 2632, 8328, 10510, 28944, 3622, 7941, 519, 5212, 2632, 8328, 12970, 883, 2516, 267, 799, 1083, 2406, 973, 777, 527, 3634, 519, 2934, 540, 741, 2322, 894, 25782, 24888, 8031, 269, 4935, 267, 972, 568, 606, 13423, 26375, 1895, 267, 28341, 2345, 523, 16408, 1889, 1895, 543, 513, 6404, 1895, 27109, 1312, 25853, 543, 28341, 2345, 26067, 2096, 531, 3334, 563, 4913, 267, 5212, 2632, 5557, 2099, 11095, 22114, 610, 8423, 691, 5557, 543, 711, 683, 21182, 916, 269, 769, 519, 4686, 2665, 267, 1141, 7202, 514, 568, 1336, 1369, 513, 22992, 20073, 850, 27295, 630, 617, 15193, 14712, 984, 18431, 5448, 267, 993, 601, 29793, 2880, 4017, 549, 4823, 514, 5448, 267, 610, 993, 601, 29793, 2880, 4017, 549, 4823, 514, 5448, 1070, 519, 683, 31129, 3693, 568, 2219, 547, 581, 519, 25853, 610, 28341, 2345, 26067, 2096, 531, 5057, 609, 7202, 514, 5250, 1813, 547, 31602, 2242, 538, 3210, 547, 13423, 26375, 269, 4935, 267, 6404, 5212, 2632, 8328, 12970, 267, 22480, 610, 23872, 267, 799, 1331, 683, 31129, 5212, 2632, 29793, 6814, 616, 4686, 267, 952, 8197, 267, 789, 1256, 2291, 267, 5212, 2632, 984, 18431, 683, 6955, 14901, 610, 5212, 2632, 29793, 6814, 6029, 6700, 840, 928, 31129, 2242, 723, 2760, 1044, 4330, 16804, 2767, 267, 2764, 267, 3066, 2639, 305, 1157, 1115, 630, 24791, 667, 11259, 994, 9303, 1670, 6514, 540, 519, 4522, 3238, 538, 22686, 3834, 2684, 24043, 8926, 1419, 8761, 14605, 7777, 1242, 5895, 983, 7202, 514, 267, 543, 8685, 983, 12889, 14178, 2673, 547, 519, 16692, 297, 269, 1452, 27220, 525, 540, 519, 3119, 4522, 269, 1306, 4397, 540, 606, 2473, 30499, 2783, 267, 513, 8552, 540, 19183, 8151, 689, 8766, 547, 4049, 814, 1044, 4330, 563, 288, 3020, 968, 4823, 514, 5448, 2223, 835, 540, 519, 4686, 2010, 540, 5212, 2632, 5557, 814, 1044, 4080, 269, 634, 10510, 10953, 693, 519, 30085, 12889, 19753, 19397, 4598, 543, 3968, 540, 519, 17870, 1739, 19596, 8851, 1813, 547, 1286, 625, 610, 1140, 761, 542, 269, 634, 5169, 540, 971, 513, 2208, 1223, 581, 1813, 547, 519, 7872, 540, 922, 1646, 267, 607, 513, 1267, 18735, 540, 24561, 5160, 543, 540, 519, 670, 1068, 23143, 781, 25853, 3597, 1352, 987, 568, 3144, 883, 7156, 269, 634, 25853, 24790, 16578, 519, 3768, 27075, 7007, 2281, 540, 519, 24561, 5160, 547, 2981, 883, 5212, 2632, 29793, 6814, 543, 547, 3132, 7202, 514, 563, 763, 18784, 18362, 540, 519, 10510, 2874, 5631, 540, 7202, 514, 269, 769, 519, 13020, 344, 267, 519, 4110, 540, 18287, 2305, 1281, 711, 3100, 547, 581, 607, 1434, 607, 538, 519, 3844, 2127, 269, 769, 1249, 267, 538, 3875, 4525, 267, 954, 6921, 984, 983, 7202, 514, 666, 581, 15874, 269, 769, 930, 2127, 540, 519, 24561, 5160, 540, 519, 8770, 23668, 267, 5212, 2632, 984, 18431, 6438, 2281, 666, 581, 4767, 16804, 1789, 267, 4029, 2639, 291, 839, 538, 7202, 324, 454, 2691, 519, 5212, 2632, 8328, 2281, 1045, 698, 3729, 689, 519, 29473, 1816, 531, 6712, 883, 519, 17870, 267, 621, 1376, 8108, 5959, 8031, 3330, 519, 17870, 12068, 1519, 5212, 2632, 29793, 6814, 563, 2691, 19596, 568, 4503, 543, 7202, 514, 568, 6534, 267, 621, 5012, 547, 8417, 543, 1286, 625, 269, 7046, 8685, 2737, 616, 3614, 21874, 547, 5212, 2632, 29793, 2880, 3157, 543, 1291, 547, 922, 23979, 563, 2691, 1282, 519, 1646, 540, 5694, 267, 519, 3384, 7202, 1400, 4494, 568, 4503, 693, 4025, 543, 936, 2391, 9160, 636, 3085, 1405, 1106, 593, 621, 269, 7885, 1227, 267, 621, 568, 2938, 607, 31432, 566, 593, 519, 5007, 2627, 540, 519, 3597, 16804, 3451, 267, 4097, 2639, 300, 1155, 4522, 616, 2141, 16271, 547, 7063, 269, 1879, 519, 5212, 2632, 29793, 2880, 4494, 4991, 911, 15436, 1242, 519, 936, 2391, 7202, 514, 543, 19596, 25457, 759, 26975, 1813, 547, 4835, 11528, 2188, 267, 621, 568, 2938, 607, 31432, 725, 563, 291, 550, 514, 8328, 15293, 1591, 10510, 454, 1607, 22480, 5212, 2632, 8328, 10510, 15225, 513, 2603, 540, 7202, 328, 1355, 899, 7263, 1431, 563, 17484, 16599, 545, 21126, 540, 13095, 2632, 29793, 6814, 454, 302, 323, 2632, 29793, 6814, 723, 513, 10444, 543, 2964, 334, 20675, 9134, 1909, 547, 3713, 5007, 15128, 602, 4161, 519, 5959, 17870, 16804, 1724, 267, 3607, 316, 2201, 7020, 267, 5212, 2632, 29793, 6814, 12954, 519, 17916, 12046, 676, 1437, 908, 20237, 6127, 267, 799, 4564, 513, 1883, 538, 519, 7067, 543, 7816, 6127, 540, 519, 5694, 269, 589, 1732, 1620, 540, 519, 1909, 540, 5212, 2632, 29793, 6814, 1369, 519, 5959, 17870, 1950, 786, 5000, 519, 6211, 2359, 547, 4894, 519, 2014, 540, 519, 29405, 547, 519, 5959, 17870, 267, 1110, 3634, 519, 12982, 1184, 267, 543, 3895, 519, 7067, 543, 7816, 7207, 540, 519, 5694, 563, 25387, 267, 519, 946, 540, 6671, 5959, 17870, 3053, 14613, 267, 6915, 5562, 6675, 267, 27981, 2045, 12381, 267, 543, 5160, 4702, 616, 1031, 269, 9747, 267, 27532, 4915, 2409, 6961, 606, 2500, 538, 1651, 760, 1304, 543, 8097, 5933, 540, 519, 27295, 269, 21298, 267, 513, 2551, 540, 8544, 26067, 2096, 531, 6565, 2281, 814, 1044, 9678, 689, 5959, 17870, 5160, 267, 543, 891, 2281, 616, 3622, 5219, 547, 607, 5959, 17870, 6565, 2281, 630, 291, 28903, 1040, 314, 275, 267, 4391, 2639, 7712, 267, 5959, 17870, 15225, 6687, 582, 1890, 267, 789, 666, 16174, 883, 11560, 29793, 6814, 267, 28539, 14231, 267, 543, 27090, 2281, 269, 1358, 941, 1101, 9678, 689, 519, 17870, 5160, 540, 8628, 1480, 4522, 543, 941, 11280, 2022, 23196, 667, 28903, 563, 763, 4087, 540, 891, 2281, 568, 7164, 607, 789, 3668, 1808, 12508, 269, 11094, 540, 7202, 514, 17870, 1950, 568, 1271, 607, 789, 1683, 15325, 547, 519, 5694, 269, 634, 17870, 2847, 6018, 1436, 5650, 267, 1141, 972, 568, 20344, 540, 17870, 5160, 676, 3984, 1973, 267, 5642, 20768, 267, 610, 27731, 30301, 23402, 6565, 2281, 538, 1799, 1155, 1875, 341, 1388, 4522, 267, 568, 835, 540, 519, 1699, 3905, 3584, 538, 4791, 1439, 16599, 923, 563, 1103, 713, 5650, 267, 2182, 2389, 22568, 5250, 568, 4767, 538, 3811, 2665, 267, 855, 519, 25739, 2182, 5160, 568, 711, 2141, 7202, 514, 6438, 543, 666, 8858, 513, 5642, 270, 576, 618, 636, 6438, 2497, 3079, 269, 4935, 267, 20344, 540, 519, 7202, 514, 9706, 592, 335, 1950, 3842, 519, 24328, 540, 667, 28903, 883, 519, 3597, 23668, 540, 1875, 341, 1388, 4522, 814, 5063, 6591, 1454, 3007, 607, 513, 2104, 9354, 1935, 563, 763, 3156, 971, 607, 3597, 12324, 2847, 6018, 5314, 267, 17870, 18032, 267, 13297, 3330, 519, 3597, 12324, 540, 1591, 5498, 17660, 8652, 322, 3326, 1355, 6915, 3766, 1564, 267, 2281, 14242, 609, 2208, 2188, 585, 538, 1606, 15856, 1591, 11852, 267, 543, 5444, 3797, 616, 1373, 21503, 538, 519, 4126, 540, 3384, 1007, 1439, 16599, 545, 5574, 1813, 547, 519, 4324, 540, 4527, 540, 726, 584, 760, 582, 550, 2281, 538, 5694, 16804, 276, 267, 6078, 2639, 23087, 543, 10390, 454, 302, 323, 2632, 29793, 6814, 538, 1840, 547, 519, 5250, 540, 7202, 514, 616, 1336, 547, 1489, 519, 10206, 602, 5212, 2632, 29793, 6814, 849, 1599, 607, 562, 665, 823, 696, 832, 543, 17872, 2281, 538, 519, 5959, 17870, 269, 634, 20344, 540, 5212, 2632, 29793, 6814, 689, 667, 28903, 3217, 1747, 1813, 547, 3441, 540, 5212, 2632, 29793, 6814, 267, 14775, 547, 519, 4049, 1100, 343, 1190, 15128, 269, 634, 3441, 540, 667, 28903, 4386, 1813, 547, 7636, 543, 2168, 7063, 3056, 547, 519, 12136, 540, 1585, 3676, 269, 11048, 267, 519, 1036, 10273, 908, 4390, 540, 17870, 18327, 547, 581, 513, 9621, 2104, 585, 10682, 540, 519, 8697, 5212, 2632, 29793, 6814, 269, 634, 1840, 540, 3791, 10155, 547, 922, 1277, 1108, 786, 1711, 513, 1007, 10155, 538, 3450, 2409, 563, 26296, 1489, 543, 13384, 11208, 454, 18183, 26555, 540, 1719, 454, 2467, 616, 1100, 7526, 540, 1719, 563, 272, 269, 1488, 3570, 16644, 1511, 345, 966, 292, 267, 7136, 320, 700, 293, 269, 13095, 2632, 29793, 6814, 454, 281, 634, 2281, 8108, 543, 4509, 7202, 710, 2271, 808, 4437, 32554, 8426, 22776, 269, 476, 1220, 275, 282, 3607, 281, 15793, 278, 1700, 10463, 454, 273, 269, 6276, 918, 288, 269, 17327, 1646, 543, 1277, 1108, 454, 302, 1537, 4886, 543, 2876, 1108, 454, 269, 476, 2735, 10695, 6113, 5125, 634, 830, 21629, 281, 29218, 1700, 28590, 454, 274, 269, 918, 1177, 1662, 9874, 715, 267, 21411, 25702, 570, 269, 13095, 2632, 29793, 6814, 454, 281, 7981, 1242, 2182, 2389, 22568, 268, 14127, 2281, 538, 519, 7202, 514, 1790, 592, 335, 1950, 5556, 523, 527, 1323, 558, 630, 298, 344, 9369, 1040, 476, 1001, 277, 282, 6321, 281, 13893, 1700, 7871, 454, 275, 269, 681, 1276, 808, 309, 269, 13095, 2632, 984, 18431, 15285, 543, 519, 5250, 540, 519, 5212, 2632, 984, 18431, 4494, 808, 19239, 1763, 269, 476, 2735, 276, 282, 5038, 281, 4366, 280, 1700, 7176, 454, 276, 269, 7108, 6199, 631, 267, 918, 592, 330, 7568, 328, 9474, 267, 8479, 631, 267, 18548, 4486, 589, 269, 19239, 514, 281, 12856, 267, 5888, 543, 7777, 1436, 13571, 645, 3930, 857, 630, 14976, 924, 3798, 1040, 476, 1001, 272, 282, 274, 281, 278, 1556, 1700, 3374, 454, 277, 269, 7395, 5979, 790, 670, 267, 24381, 514, 808, 290, 267, 595, 19302, 16066, 267, 1744, 756, 4157, 11867, 962, 267, 570, 8999, 3120, 631, 267, 774, 643, 747, 517, 6261, 337, 1550, 645, 267, 1696, 620, 5440, 673, 2689, 454, 269, 15482, 1928, 543, 5212, 2632, 29793, 6814, 454, 281, 12700, 543, 19165, 808, 744, 19745, 659, 10266, 269, 476, 1001, 271, 282, 2190, 281, 28178, 1700, 5392, 454, 278, 269, 27958, 717, 306, 269, 2107, 3316, 781, 17327, 2876, 1108, 454, 663, 21150, 787, 1108, 476, 1001, 25320, 628, 1715, 16156, 29021, 454, 279, 269, 1744, 340, 3873, 756, 541, 715, 267, 7435, 8121, 267, 6833, 30245, 631, 269, 13095, 2632, 984, 18431, 3157, 540, 519, 10856, 1651, 529, 528, 616, 10824, 20218, 538, 519, 4287, 540, 2208, 26277, 5589, 630, 295, 984, 7505, 1040, 476, 1708, 272, 282, 19054, 281, 9264, 271, 1700, 278, 454, 280, 269, 3752 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10363, 585, 4892, 547, 1378, 4154, 630, 21955, 585, 930, 14446, 543, 19216, 11113, 264, 1063, 476, 4350, 274, 543, 476, 3192, 276, 563, 20112, 15944, 2920, 634, 2136, 2276, 7108, 15944, 2920, 540, 5130, 476, 1789, 267, 476, 4350, 275, 2838, 602, 782, 4154, 543, 4154, 22783, 4371, 676, 519, 8549, 15944, 581, 1147, 16781, 1229, 543, 642, 6479, 538, 519, 6852, 2140, 540, 519, 2136, 2276, 4972, 540, 519, 27308, 269, 898, 849, 19275, 519, 27308, 543, 2883, 5238, 689, 28099, 25977, 13362, 12014, 585, 4154, 267, 0, 20288, 2722, 3327, 15558, 568, 513, 2259, 602, 3322, 10115, 538, 26216, 3785, 547, 4831, 25270, 267, 610, 15558, 267, 3327, 8166, 5434, 269, 1452, 3785, 666, 1491, 1082, 3029, 267, 1519, 556, 16396, 630, 8690, 532, 4054, 538, 2127, 1141, 7733, 723, 1044, 2759, 1524, 1070, 3413, 648, 23667, 630, 8690, 532, 4054, 538, 2127, 1141, 972, 941, 1100, 7733, 1070, 543, 4824, 4104, 2359, 269, 5983, 7370, 957, 607, 3327, 29826, 267, 21716, 3327, 8166, 689, 519, 5790, 1282, 15591, 267, 543, 13936, 621, 538, 741, 13947, 269, 1635, 10115, 538, 26216, 3327, 15558, 3785, 267, 3549, 610, 2043, 666, 22771, 585, 741, 3327, 5434, 267, 3927, 4227, 741, 2121, 1764, 593, 519, 2916, 269, 1717, 267, 621, 779, 2565, 602, 891, 3785, 616, 5402, 7307, 547, 2327, 602, 789, 1267, 538, 1483, 267, 8628, 267, 543, 3606, 3327, 3524, 652, 1674, 267, 543, 602, 789, 798, 711, 1291, 547, 26516, 1514, 610, 2825, 4539, 563, 24961, 11905, 281, 2622, 7813, 454, 20288, 2722, 3327, 13726, 1115, 1404, 1713, 5107, 538, 1312, 519, 10220, 543, 17319, 3327, 6990, 269, 769, 519, 10220, 2344, 267, 3549, 616, 2838, 676, 1876, 547, 2569, 741, 5434, 547, 513, 1978, 1377, 282, 952, 789, 666, 1406, 3035, 713, 998, 741, 1378, 1463, 12998, 20214, 267, 789, 666, 6718, 26216, 3327, 13726, 1115, 547, 2743, 741, 10220, 13800, 269, 901, 1935, 568, 1031, 538, 1585, 1698, 7146, 2389, 8565, 1949, 267, 971, 607, 519, 4993, 28597, 5510, 3553, 5358, 538, 4993, 7167, 7146, 6874, 8565, 5358, 269, 769, 519, 17319, 2344, 267, 3906, 610, 2043, 6718, 3327, 13726, 1115, 547, 11574, 741, 1378, 3327, 5434, 267, 1419, 607, 851, 540, 513, 6626, 6940, 4640, 610, 538, 3210, 547, 2604, 689, 6800, 267, 9520, 267, 610, 824, 8639, 269, 901, 3884, 1406, 2838, 676, 1876, 267, 855, 666, 948, 3906, 6542, 741, 7029, 547, 6940, 543, 2916, 2962, 269, 17859, 540, 519, 2344, 267, 621, 779, 1898, 602, 519, 12349, 13726, 1115, 2099, 1483, 267, 2357, 16666, 267, 543, 3606, 12998, 20214, 267, 547, 2327, 519, 8699, 540, 891, 6990, 543, 741, 7145, 538, 28530, 2916, 1689, 563, 763, 1523, 540, 968, 611, 1288, 1275, 892, 568, 513, 2565, 5057, 540, 4104, 3327, 15558, 3785, 269, 18827, 1275, 4016, 547, 519, 2856, 602, 519, 8511, 3154, 20214, 3177, 676, 606, 15558, 1788, 1590, 581, 968, 611, 6463, 892, 547, 1018, 1131, 723, 7018, 952, 519, 1788, 1185, 711, 1044, 8045, 269, 769, 824, 1913, 267, 519, 1788, 1590, 1291, 547, 12998, 20214, 602, 9327, 1406, 723, 5949, 896, 513, 1870, 23829, 268, 639, 783, 9183, 269, 1280, 4104, 3327, 15558, 3785, 267, 713, 1522, 1611, 11744, 602, 1510, 519, 1788, 267, 519, 4104, 1131, 723, 1044, 29429, 610, 28811, 267, 543, 3976, 8572, 547, 3524, 6856, 607, 1454, 3327, 269, 7638, 4328, 1840, 1275, 666, 581, 1950, 267, 855, 621, 779, 2629, 547, 2327, 602, 15558, 3785, 616, 5963, 7700, 547, 3606, 12998, 20214, 3564, 1018, 1131, 723, 5949, 19037, 269, 9453, 9672, 1840, 1275, 267, 972, 779, 513, 1981, 602, 15558, 3785, 949, 3274, 581, 9878, 585, 3327, 3524, 652, 1674, 602, 1131, 723, 7018, 1256, 1510, 519, 5092, 267, 14944, 1456, 519, 7145, 540, 891, 3785, 538, 28530, 2916, 1689, 269, 0, 2691, 513, 1650, 11414, 596, 513, 2178, 5837, 3992, 267, 596, 1522, 1616, 547, 917, 1018, 1913, 649, 946, 547, 4766, 621, 269, 2334, 1259, 267, 596, 666, 4766, 621, 547, 824, 1004, 267, 543, 4126, 602, 789, 1224, 827, 621, 1932, 269, 901, 2376, 786, 2263, 782, 519, 1913, 596, 991, 547, 917, 563, 7617, 9293, 2052, 14674, 589, 9452, 2060, 589, 26874, 7689, 888, 2467, 5749, 1406, 1932, 1082, 1913, 649, 666, 946, 547, 4766, 891, 2010, 540, 26069, 543, 4245, 269, 1717, 267, 519, 1739, 1592, 786, 1683, 596, 609, 519, 1655, 3283, 649, 3494, 960, 912, 763, 9053, 4528, 568, 968, 4150, 326, 800, 1848, 1284, 666, 946, 621, 547, 2911, 827, 1022, 1650, 1141, 1978, 1919, 616, 6719, 676, 3197, 610, 3527, 269, 901, 1223, 1287, 581, 1031, 547, 948, 721, 4001, 513, 5837, 3992, 267, 799, 568, 1271, 585, 1082, 1004, 547, 1451, 563, 4131, 779, 1376, 609, 519, 9053, 4528, 269, 1284, 666, 2911, 827, 968, 4150, 326, 800, 892, 8164, 2576, 814, 2813, 513, 1650, 602, 649, 1589, 786, 581, 3730, 585, 1866, 547, 1224, 269, 1403, 1346, 2984, 4001, 3407, 4245, 267, 789, 616, 2141, 4502, 621, 563, 2108, 2704, 5586, 800, 892, 1797, 602, 1945, 568, 2813, 547, 2099, 1880, 1919, 602, 9305, 547, 13919, 269, 1284, 666, 946, 519, 3197, 267, 5468, 267, 610, 4729, 2798, 547, 1711, 513, 2239, 602, 2337, 1004, 547, 1174, 1018, 5837, 3992, 789, 1058, 1491, 2476, 689, 621, 563, 763, 4214, 540, 968, 4150, 326, 800, 2223, 2687, 547, 634, 11062, 9218, 267, 568, 968, 320, 1650, 267, 1404, 267, 6648, 267, 4605, 267, 610, 824, 960, 538, 799, 519, 3197, 543, 2621, 2099, 1880, 7907, 610, 2093, 602, 9305, 547, 26069, 267, 4984, 267, 610, 6214, 3034, 23777, 1227, 267, 649, 1265, 968, 4150, 326, 800, 892, 10876, 649, 979, 269, 898, 779, 1455, 538, 1312, 4984, 543, 2797, 10580, 267, 1141, 13919, 3884, 1406, 519, 2949, 3804, 269, 5502, 267, 1004, 840, 2286, 968, 4150, 326, 800, 892, 3335, 1616, 1004, 547, 1205, 3238, 609, 741, 4984, 610, 2797, 5428, 563, 2691, 6158, 827, 1978, 2984, 1373, 14336, 5566, 267, 649, 666, 2911, 827, 519, 5837, 10096, 3297, 873, 269, 2755, 621, 1522, 711, 581, 6654, 693, 1101, 267, 1310, 513, 1353, 540, 519, 18340, 267, 649, 1522, 581, 2111, 547, 1265, 6456, 10096, 602, 2119, 547, 4001, 721, 875, 547, 581, 543, 798, 1434, 563, 2791, 1522, 1294, 968, 4150, 326, 800, 892, 2408, 538, 519, 1739, 2081, 912, 268, 634, 14336, 800, 602, 594, 1224, 6026, 803, 782, 594, 991, 547, 917, 827, 1018, 4523, 538, 519, 2229, 543, 875, 547, 2057, 621, 563, 268, 901, 14336, 800, 729, 3388, 594, 2760, 6785, 594, 2877, 269, 898, 779, 5863, 875, 1454, 568, 2451, 856, 540, 1455, 1702, 563, 268, 594, 723, 2813, 606, 14336, 800, 602, 594, 1131, 2648, 585, 596, 547, 2285, 803, 5955, 593, 563, 268, 1411, 1058, 4001, 3025, 827, 707, 14336, 800, 1317, 594, 6557, 2386, 789, 8910, 2648, 547, 5873, 782, 827, 621, 563, 268, 594, 4782, 5837, 10752, 607, 851, 540, 1250, 14336, 1559, 267, 799, 568, 1946, 594, 1810, 1406, 3247, 2394, 594, 4076, 1500, 2386, 602, 3025, 17358, 519, 1448, 563, 3086, 649, 3580, 1413, 693, 968, 1706, 762, 2223, 799, 568, 3592, 9838, 547, 968, 4150, 326, 800, 1848, 1284, 666, 946, 621, 538, 1454, 519, 1482, 1259, 267, 1498, 519, 2984, 1644, 547, 621, 616, 2356, 10156, 563, 288, 968, 1706, 762, 892, 568, 1022, 2110, 543, 2241, 1650, 602, 649, 616, 9277, 547, 1491, 1945, 5837, 689, 269, 898, 3085, 1406, 723, 547, 581, 1279, 630, 27271, 1152, 513, 1906, 3515, 1040, 634, 2856, 568, 602, 649, 1174, 519, 5048, 3297, 519, 1257, 267, 543, 649, 1689, 6000, 9935, 563, 763, 4214, 540, 968, 1706, 762, 2223, 2687, 547, 634, 11062, 9218, 267, 568, 968, 320, 2110, 267, 2241, 1650, 602, 11414, 610, 6941, 606, 2856, 267, 2523, 513, 5837, 610, 3909, 2856, 3034, 13640, 1963, 4001, 721, 875, 547, 581, 1732, 1004, 269, 1284, 1419, 3494, 602, 649, 4076, 3893, 3388, 23125, 856, 267, 855, 596, 1522, 1451, 602, 596, 616, 711, 3501, 2390, 2542, 513, 1612, 762, 563, 6546, 779, 15502, 269, 3143, 835, 568, 3501, 269, 898, 1175, 1797, 596, 723, 547, 960, 593, 3054, 543, 1451, 689, 519, 9073, 602, 519, 1612, 762, 814, 6026, 596, 563, 288, 968, 1706, 762, 892, 1522, 960, 538, 519, 1739, 2081, 912, 268, 901, 1612, 762, 827, 1018, 621, 1797, 547, 581, 513, 1434, 1268, 568, 1018, 594, 991, 547, 1205, 1250, 22516, 585, 8285, 563, 268, 594, 4769, 1406, 1611, 547, 2328, 513, 1612, 762, 267, 855, 621, 7140, 856, 602, 594, 1705, 513, 8499, 11141, 2816, 563, 268, 1411, 723, 2813, 513, 1612, 762, 602, 11414, 922, 3988, 547, 581, 2186, 547, 1346, 1472, 873, 563, 268, 634, 1612, 762, 2636, 721, 547, 1589, 1394, 593, 1018, 649, 4076, 1224, 543, 2992, 938, 4681, 593, 6000, 563, 268, 594, 1810, 1406, 899, 1022, 540, 519, 1612, 1963, 538, 713, 3909, 1257, 267, 1498, 594, 917, 596, 798, 267, 865, 594, 4465, 1406, 1793, 622, 873, 2417, 2336, 26139, 267, 968, 325, 762, 892, 568, 1360, 2147, 547, 519, 1079, 1913, 1657, 621, 269, 1284, 666, 946, 621, 547, 3277, 547, 513, 2898, 2039, 540, 2984, 602, 4001, 721, 875, 547, 581, 2186, 610, 1175, 538, 519, 3068, 540, 14488, 563, 288, 535, 762, 568, 513, 1650, 602, 11414, 721, 26069, 1759, 593, 18408, 269, 1358, 666, 581, 13148, 610, 4628, 3020, 267, 855, 649, 946, 519, 2495, 543, 5048, 540, 519, 1650, 547, 4001, 1866, 827, 519, 2956, 540, 1373, 25432, 2186, 543, 1175, 563, 763, 4214, 540, 968, 325, 762, 2223, 2687, 547, 634, 11062, 9218, 267, 568, 968, 320, 2110, 1650, 602, 6645, 513, 2489, 5168, 610, 568, 1152, 14356, 1759, 593, 1249, 267, 610, 3332, 540, 713, 1826, 3034, 763, 1655, 851, 827, 3450, 1004, 998, 968, 325, 1963, 892, 568, 602, 789, 616, 1419, 1759, 593, 1249, 269, 1284, 666, 2995, 1004, 602, 952, 789, 798, 711, 4368, 741, 2081, 4166, 267, 789, 786, 1439, 909, 7680, 4010, 519, 1482, 3364, 607, 519, 1268, 649, 12286, 538, 519, 1650, 563, 6546, 2356, 1568, 1134, 950, 649, 2119, 547, 18609, 1004, 547, 1689, 269, 1403, 4986, 3116, 267, 621, 1568, 607, 513, 4250, 8671, 545, 547, 1118, 1004, 1294, 602, 972, 568, 811, 547, 1272, 982, 891, 2984, 267, 543, 538, 1931, 547, 2057, 1373, 513, 1915, 538, 519, 1650, 267, 789, 991, 547, 1451, 5837, 1871, 563, 2791, 1223, 946, 968, 325, 762, 892, 607, 5205, 912, 268, 634, 535, 762, 540, 938, 18971, 568, 1945, 649, 1058, 4001, 950, 649, 2461, 3843, 547, 1205, 1453, 547, 13789, 563, 268, 634, 535, 1963, 594, 4076, 1224, 538, 891, 2835, 1118, 803, 1616, 547, 3956, 563, 268, 594, 723, 4121, 865, 1454, 689, 891, 535, 1963, 267, 543, 594, 6999, 1250, 1453, 1131, 581, 5461, 538, 873, 1932, 563, 268, 1411, 1058, 1224, 811, 827, 891, 535, 1963, 1317, 789, 723, 513, 5963, 4241, 5169, 1650, 563, 268, 594, 1810, 1406, 1616, 547, 979, 998, 1022, 811, 535, 1963, 609, 596, 1317, 594, 1810, 1406, 1589, 621, 3580, 16173, 538, 563, 7661, 267, 1577, 779, 1413, 693, 968, 539, 1518, 1848, 898, 779, 711, 513, 1455, 2262, 547, 946, 267, 543, 621, 779, 519, 1152, 8231, 593, 713, 1592, 267, 855, 621, 1869, 1568, 1134, 547, 2911, 827, 5837, 2984, 563, 2108, 10955, 1518, 892, 1797, 547, 2087, 2576, 779, 2247, 269, 15394, 267, 649, 1118, 713, 6454, 676, 3450, 873, 5837, 4245, 689, 519, 2984, 789, 1224, 269, 2755, 621, 3085, 1406, 723, 547, 14553, 9305, 547, 26069, 267, 621, 1568, 1134, 538, 713, 2013, 543, 568, 519, 8231, 649, 3622, 12314, 609, 621, 563, 763, 4214, 540, 968, 539, 1518, 2223, 2687, 547, 634, 11062, 9218, 267, 568, 968, 1729, 2087, 2576, 779, 2247, 3034, 2791, 3580, 1265, 602, 1082, 1004, 1196, 1518, 2933, 676, 3274, 4974, 269, 2290, 1259, 547, 2087, 707, 2247, 568, 547, 1451, 811, 1344, 267, 543, 1018, 1732, 1259, 568, 972, 547, 1451, 982, 547, 1353, 888, 1103, 824, 2665, 267, 596, 3580, 1265, 602, 1004, 616, 6126, 547, 1451, 6835, 998, 6456, 10096, 269, 1306, 1279, 607, 789, 2461, 9425, 6654, 267, 610, 596, 666, 1448, 873, 856, 547, 873, 267, 519, 5837, 4245, 602, 930, 2984, 4001, 666, 581, 2938, 607, 1196, 1881, 1806, 563, 5804, 972, 267, 649, 4126, 602 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7040, 540, 4993, 267, 543, 849, 6585, 513, 15149, 689, 519, 12968, 269, 14199, 540, 519, 25181, 693, 6115, 667, 269, 595, 1421, 1303, 527, 1782, 1864, 547, 2408, 607, 606, 18607, 538, 3656, 1870, 1354, 519, 4972, 269, 6004, 269, 23747, 779, 8783, 3409, 547, 8560, 2705, 568, 1010, 4276, 609, 519, 590, 2794, 614, 5240, 267, 1631, 922, 3791, 4320, 267, 799, 646, 3964, 972, 950, 602, 14762, 4884, 540, 5722, 4627, 610, 811, 1004, 1152, 8659, 513, 2551, 540, 827, 15823, 11317, 269, 634, 1957, 593, 922, 1101, 5920, 729, 1152, 476, 279, 9943, 1556, 6279, 267, 513, 3514, 11347, 540, 519, 2370, 18296, 538, 799, 621, 1101, 4718, 519, 1769, 267, 855, 896, 519, 5578, 995, 1870, 2359, 543, 998, 519, 2150, 3931, 1648, 543, 16177, 540, 922, 32388, 528, 267, 621, 814, 1044, 7930, 23762, 2394, 621, 1631, 26328, 519, 1862, 5649, 2859, 454, 288, 2689, 540, 22823, 4975, 1131, 581, 18106, 941, 649, 547, 522, 2466, 2446, 540, 835, 540, 922, 1034, 11347, 4961, 269, 1284, 3277, 547, 8361, 681, 755, 267, 32388, 528, 540, 519, 3056, 1786, 342, 2044, 540, 713, 3296, 267, 1634, 607, 519, 7414, 30179, 2044, 269, 6004, 269, 681, 755, 729, 4535, 538, 28554, 7559, 267, 5125, 267, 538, 476, 8146, 276, 267, 543, 3357, 547, 713, 2197, 16172, 1354, 519, 12176, 540, 519, 6406, 2782, 269, 1261, 21821, 539, 607, 513, 4357, 538, 519, 476, 1724, 628, 1715, 3840, 31118, 540, 21816, 32580, 267, 543, 4797, 609, 621, 2394, 476, 5908, 273, 267, 950, 581, 729, 12517, 20754, 543, 1185, 547, 4734, 519, 3028, 269, 1261, 729, 2663, 12912, 862, 1170, 776, 543, 6039, 2394, 519, 2673, 540, 519, 2112, 269, 10374, 569, 1310, 646, 3357, 547, 519, 7414, 5032, 267, 543, 2663, 1997, 908, 5128, 609, 513, 7649, 267, 3323, 513, 1786, 342, 2044, 693, 519, 5599, 3786, 540, 18412, 779, 15880, 269, 589, 1906, 1296, 2663, 646, 11943, 547, 2951, 267, 543, 6170, 513, 1032, 543, 513, 3368, 9683, 519, 3162, 1977, 2829, 269, 2201, 1010, 2132, 646, 11751, 856, 1010, 7649, 267, 543, 9427, 547, 22823, 4975, 267, 3323, 513, 1786, 342, 2044, 593, 513, 1507, 4336, 267, 799, 814, 1044, 14578, 23762, 2394, 2221, 898, 568, 513, 2203, 1786, 342, 2044, 540, 476, 736, 267, 7785, 1532, 541, 7758, 4390, 269, 1261, 3096, 4986, 855, 554, 3591, 543, 24061, 538, 1010, 1786, 342, 267, 1104, 532, 4779, 520, 540, 1010, 554, 3591, 689, 5125, 1210, 519, 3666, 540, 14822, 6738, 282, 1247, 1010, 24061, 568, 782, 6738, 538, 713, 10315, 269, 1261, 814, 1175, 569, 6591, 519, 10639, 540, 1818, 519, 6986, 560, 543, 1034, 1072, 995, 14420, 1862, 5649, 2859, 454, 289, 6033, 4975, 568, 20406, 3395, 538, 2956, 20749, 267, 543, 835, 540, 519, 5238, 602, 786, 7361, 3565, 547, 713, 13120, 568, 519, 1641, 540, 938, 17250, 269, 898, 568, 13883, 593, 519, 744, 269, 681, 269, 1299, 715, 269, 3213, 10200, 338, 3950, 267, 835, 4627, 3952, 689, 1022, 824, 2679, 267, 543, 1373, 4988, 609, 1351, 2607, 730, 4401, 267, 568, 12303, 2922, 1996, 3595, 269, 4256, 1870, 568, 547, 1312, 4558, 543, 4464, 25584, 585, 9703, 22278, 267, 543, 519, 7829, 540, 15144, 267, 10286, 267, 7912, 267, 4006, 267, 6070, 269, 18202, 28113, 543, 27574, 5370, 593, 10243, 269, 634, 2759, 649, 1459, 540, 519, 23999, 15991, 1281, 5126, 547, 621, 269, 634, 8227, 267, 674, 269, 654, 269, 26673, 2917, 849, 22595, 1896, 16292, 17346, 693, 623, 754, 13987, 267, 855, 814, 25015, 4421, 1010, 10286, 23999, 972, 547, 519, 16803, 1299, 25816, 651, 1062, 269, 1261, 786, 1869, 7500, 1010, 15144, 23999, 267, 538, 4276, 609, 713, 835, 269, 1261, 1281, 14553, 513, 10243, 1870, 267, 543, 814, 1185, 19939, 1296, 1995, 693, 621, 269, 4256, 4464, 532, 1870, 11498, 936, 519, 17521, 540, 22823, 267, 5742, 543, 16827, 269, 717, 269, 674, 269, 9652, 814, 19500, 607, 2199, 9614, 2094, 519, 23999, 5293, 883, 6004, 269, 26673, 2917, 779, 1862, 5649, 2859, 454, 7804, 269, 5261, 24522, 6229, 26436, 568, 1134, 1634, 547, 22823, 13218, 607, 513, 5578, 995, 10629, 543, 18874, 269, 1261, 568, 513, 5065, 540, 11882, 267, 543, 689, 476, 6642, 275, 547, 476, 6642, 278, 267, 729, 513, 4759, 540, 519, 5619, 532, 5428, 602, 9788, 856, 519, 16456, 538, 713, 7262, 2197, 269, 769, 476, 5197, 273, 646, 3576, 909, 519, 1353, 540, 4915, 267, 543, 769, 476, 6245, 277, 21783, 689, 519, 6481, 4972, 540, 519, 14822, 2160, 267, 10888, 519, 590, 11336, 16101, 585, 519, 5207, 2489, 3328, 269, 4438, 519, 2063, 1032, 646, 19500, 607, 2777, 18874, 693, 519, 6153, 6341, 541, 11939, 11233, 267, 543, 1287, 585, 513, 1032, 729, 18874, 585, 519, 12052, 1299, 8330, 18319, 21805, 269, 589, 1032, 3516, 646, 4092, 1934, 267, 543, 2094, 602, 942, 814, 4465, 1010, 1259, 547, 519, 6015, 540, 519, 1004, 267, 543, 6591, 519, 22644, 540, 1010, 7015, 9439, 547, 606, 6708, 799, 3112, 855, 581, 9765, 5944, 11815, 4328, 1261, 568, 513, 4759, 540, 519, 5234, 540, 853, 269, 10906, 779, 6413, 267, 1010, 2866, 2523, 15268, 1864, 585, 10551, 1862, 5649, 2859, 454, 310, 531, 614, 681, 269, 8316, 2917, 31066, 538, 8800, 267, 588, 7174, 543, 17646, 2264, 267, 693, 590, 2794, 614, 267, 14822, 267, 568, 513, 5065, 14822, 1014, 269, 1261, 759, 3660, 538, 519, 4024, 600, 8291, 14860, 2394, 476, 6245, 271, 267, 8391, 1010, 2069, 693, 519, 3557, 16453, 3427, 693, 3933, 17625, 267, 1373, 513, 10927, 540, 519, 8545, 269, 1261, 1287, 6026, 1153, 547, 28711, 3554, 6019, 585, 513, 1032, 267, 543, 538, 519, 9835, 681, 27475, 9503, 585, 2947, 1296, 267, 1373, 9030, 540, 519, 5681, 332, 969, 4068, 3506, 585, 1614, 1296, 269, 1261, 1287, 3964, 5128, 538, 1870, 538, 5742, 267, 6967, 972, 2394, 4989, 267, 476, 6245, 278, 267, 950, 646, 3357, 267, 1934, 543, 8118, 513, 8800, 4558, 269, 631, 4193, 1010, 4558, 3336, 16283, 267, 646, 729, 16172, 1310, 25997, 547, 16245, 922, 1459, 12796, 1190, 1079, 1650, 2679, 267, 538, 799, 646, 11438, 513, 1360, 2347, 1899, 267, 1818, 513, 20614, 540, 1295, 518, 779, 7727, 269, 1261, 849, 11438, 513, 2489, 1899, 540, 19267, 267, 11041, 267, 3774, 17549, 267, 4837, 1299, 322, 1421, 543, 568, 8665, 585, 519, 3244, 1180, 779, 4718, 543, 6519, 22927, 3684, 269, 769, 8939, 713, 2261, 1467, 646, 814, 3254, 5140, 10385, 267, 607, 621, 568, 6157, 519, 1034, 2442, 543, 1655, 835, 538, 519, 2344, 269, 6004, 269, 8316, 2917, 568, 9310, 547, 7323, 594, 6767, 15588, 338, 267, 540, 5681, 332, 969, 4068, 543, 814, 835, 1126, 267, 513, 8004, 269, 1261, 568, 519, 1459, 14951, 337, 540, 519, 2749, 540, 1862, 5649, 2859, 454, 763, 1657, 5991, 3139, 9543, 2006, 945, 13333, 519, 29221, 2044, 593, 6301, 8265, 267, 1063, 6115, 543, 4741, 267, 4092, 1934, 538, 4728, 267, 476, 6245, 275, 269, 1261, 1185, 513, 1297, 540, 1296, 1995, 538, 519, 1870, 267, 543, 5612, 4682, 547, 960, 585, 595, 269, 670, 3326, 902, 10290, 267, 543, 1079, 1296, 2663, 11751, 1864, 856, 269, 15531, 519, 2025, 20453, 547, 1507, 513, 1032, 2663, 646, 729, 25997, 547, 1847, 547, 1010, 1459, 1747, 540, 1870, 267, 799, 1185, 1044, 2523, 3710, 585, 1864, 269, 898, 568, 9112, 540, 15839, 267, 476, 736, 9943, 1911, 609, 513, 5386, 25810, 799, 646, 3096, 585, 4859, 5301, 269, 3571, 14089, 729, 9112, 3514, 971, 513, 6073, 602, 646, 666, 946, 3905, 1216, 538, 2848, 5446, 1010, 3694, 799, 568, 711, 2944, 538, 1022, 29221, 2044, 538, 519, 1533, 3544, 540, 24144, 269, 769, 1010, 24767, 540, 948, 646, 814, 835, 540, 519, 20923, 14735, 543, 2250, 787, 536, 5474, 606, 519, 11076, 267, 543, 607, 513, 12343, 646, 1281, 3833, 606, 3573, 17783, 1446, 1870, 267, 23478, 15391, 15838, 267, 1284, 16014, 267, 590, 2794, 614, 543, 519, 1082, 5599, 2759, 5725, 267, 711, 1152, 538, 3694, 543, 2250, 787, 267, 855, 538, 22250, 607, 1134, 269, 3571, 6455, 3336, 6799, 606, 1303, 6005, 5920, 267, 13859, 607, 621, 568, 609, 782, 25654, 543, 5686, 540, 20013, 543, 16681, 1476, 1254, 2044, 267, 7361, 540, 1010, 1378, 5478, 269, 901, 8257, 568, 13859, 609, 1169, 27115, 602, 666, 7520, 4238, 269, 543, 4986, 855, 519, 1781, 545, 652, 22250, 616, 1500, 269, 7831, 4005, 9114, 3773, 513, 17288, 6709, 691, 5179, 1379, 29606, 267, 543, 1210, 9039, 855, 21555, 14475, 676, 5128, 267, 4166, 1862, 5649, 2859, 454, 2304, 23678, 1324, 540, 519, 32371, 600, 648, 568, 3254, 538, 713, 3390, 540, 519, 19391, 520, 269, 901, 267, 835, 540, 519, 1655, 20730, 538, 8109, 14822, 267, 729, 25517, 676, 808, 269, 645, 269, 717, 5142, 342, 1245, 2063, 4005, 267, 543, 8118, 896, 519, 1459, 2359, 5239, 476, 272, 560, 269, 634, 2679, 568, 1134, 11231, 543, 1360, 12796, 1190, 267, 9967, 540, 17288, 21144, 11623, 267, 609, 17715, 2357, 663, 553, 4478, 621, 267, 4758, 621, 519, 4630, 601, 833, 5920, 606, 14791, 540, 922, 9703, 12607, 4680, 269, 634, 1292, 5604, 568, 1134, 11231, 267, 13859, 607, 621, 568, 609, 513, 1297, 540, 7036, 7891, 585, 14538, 267, 1519, 782, 519, 3056, 1974, 25025, 543, 17476, 269, 634, 9126, 16372, 4055, 10741, 1055, 519, 4357, 5604, 538, 971, 513, 6073, 602, 519, 2530, 540, 513, 4062, 540, 9126, 16372, 3112, 7654, 2049, 269, 634, 1603, 4055, 267, 799, 10741, 547, 519, 1318, 540, 519, 1292, 10689, 267, 568, 1360, 8799, 513, 1268, 1373, 13087, 547, 2972, 9602, 8775, 1247, 11504, 547, 741, 19359, 269, 634, 18226, 4055, 568, 593, 519, 2666, 6989, 267, 543, 568, 7677, 1639, 538, 513, 17705, 543, 17715, 6073, 267, 543, 646, 3349, 568, 13859, 609, 782, 519, 6990, 6488, 269, 634, 8471, 6644, 540, 519, 10707, 1857, 568, 602, 519, 1655, 6980, 538, 8109, 14822, 616, 6039, 1934, 269, 634, 10051, 568, 16517, 267, 2973, 543, 1134, 5887, 23624, 267, 547, 513, 1454, 3152, 4110, 982, 2356, 1336, 538, 513, 15678, 269, 769, 519, 25810, 616, 4092, 519, 5010, 3732, 11623, 267, 10448, 543, 4829, 11623, 267, 543, 1018, 568, 3564, 8969, 835, 540, 519, 20923, 4411, 4859, 2371, 1862, 5649, 2859, 454, 7804, 269, 5062, 3519, 24274, 568, 835, 540, 1346, 795, 990, 658, 267, 1434, 5991, 25733, 2367, 602, 649, 616, 2141, 19914, 547, 2743, 269, 1261, 568, 3742, 543, 17615, 267, 543, 1018, 646, 1281, 646, 1281, 609, 513, 786, 267, 543, 1102, 4926, 9644, 543, 1434, 269, 2470, 883, 782, 609, 7247, 646, 2501, 538, 3346, 269, 1261, 568, 513, 5065, 540, 18518, 267, 543, 1500, 1010, 26813, 593, 713, 1158, 779, 3942, 538, 13983, 839, 7921, 267, 5463, 4405, 10315, 267, 593, 519, 476, 1691, 628, 1554, 540, 5181, 267, 476, 7277, 280, 269, 1261, 4607, 1010, 2069, 972, 267, 543, 2348, 693, 2067, 6010, 532, 585, 519, 8821, 23057, 540, 782, 22825, 267, 646, 9411, 519, 8278, 937, 545, 6481, 4659, 540, 595, 32385, 10620, 538, 476, 6942, 272, 267, 543, 21783, 1614, 1296, 2663, 269, 4825, 9506, 547, 1010, 5065, 1747, 646, 13736, 972, 11489, 476, 6642, 275, 269, 1261, 1287, 6410, 547, 27228, 267, 1141, 646, 13736, 585, 3670, 1296, 269, 28527, 1287, 547, 14822, 267, 646, 4092, 538, 1715, 6199, 267, 543, 7283, 972, 2394, 5130, 2063, 269, 1306, 606, 2963, 540, 519, 2463, 7038, 539, 585, 1864, 676, 519, 4961, 540, 1715, 6199, 267, 649, 13712, 1010, 9550, 607, 25650, 538, 476, 6245, 273, 267, 609, 855, 835, 29926, 532, 8917, 269, 769, 476, 6245, 276, 646, 729, 12912, 513, 4759, 540, 519, 1533, 4604, 540, 981, 29794, 267, 585, 519, 2110, 2165, 267, 676, 17135, 7083, 543, 593, 922, 1163, 19418, 729, 31272, 31212, 585, 519, 1279, 2165, 269, 4595, 1010, 4417, 1934, 646, 814, 6385, 3144, 513, 4395, 7584, 538, 1010, 3924, 269, 1261, 568, 1533, 14951, 337, 693, 1459, 540, 519, 8278, 937, 545, 6481, 5980, 540, 14822, 269, 3220, 269, 5062, 3519, 24274, 9310, 7323, 589, 269, 654, 269, 23045, 267, 540, 29547, 6129, 28011, 5649, 2859, 454, 268, 17665, 2637, 7002, 9609, 454, 268, 14522, 2637, 7002, 9609, 454, 268, 14151, 2637, 7002, 9609, 454, 268, 23916, 2637, 7002, 9609, 454, 268, 4993, 2637, 7002, 9609, 454, 268, 12548, 2637, 7002, 9609, 454, 268, 21086, 2637, 7002 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 799, 476, 279, 267, 1703, 941, 476, 272, 267, 476, 280, 563, 763, 3328, 7622, 2450, 729, 476, 274, 269, 1703, 941, 476, 1321, 267, 3885, 634, 2551, 729, 3262, 856, 609, 8575, 518, 1221, 267, 1004, 634, 11667, 2085, 729, 1280, 1169, 8951, 267, 972, 941, 1280, 1169, 8951, 2085, 476, 1240, 543, 936, 267, 3057, 686, 1410, 941, 1703, 941, 476, 1626, 267, 8027, 4559, 693, 606, 3328, 5860, 540, 634, 1753, 26782, 7477, 3599, 2557, 729, 476, 273, 563, 2026, 25795, 539, 519, 14829, 3057, 3072, 476, 280, 3953, 6872, 2021, 540, 11321, 3072, 476, 280, 3953, 6872, 2021, 941, 476, 4375, 267, 1004, 267, 476, 1556, 267, 10820, 267, 543, 476, 280, 267, 3885, 23493, 538, 519, 2749, 269, 634, 2551, 3057, 3072, 476, 280, 3953, 6872, 2021, 729, 476, 273, 267, 1703, 941, 476, 1321, 267, 8027, 4559, 693, 606, 3328, 5860, 540, 634, 7292, 17539, 540, 519, 2749, 729, 17104, 610, 21337, 540, 1022, 5198, 941, 1703, 941, 476, 1556, 267, 10820, 856, 540, 799, 769, 519, 2749, 267, 519, 2551, 729, 3262, 856, 609, 634, 11667, 2085, 729, 476, 3066, 1296, 563, 6124, 1046, 8004, 535, 15085, 7201, 519, 4993, 3557, 9139, 267, 3057, 3072, 476, 280, 3953, 6872, 2021, 568, 513, 3017, 538, 7060, 11292, 547, 4872, 563, 288, 834, 14197, 4521, 4975, 257, 568, 835, 267, 799, 13333, 14311, 896, 3557, 1876, 269, 0, 31812, 781, 4860, 2213, 1133, 30457, 9218, 454, 272, 269, 630, 341, 269, 512, 563, 264, 1677, 27556, 282, 547, 2736, 1524, 282, 547, 15835, 883, 282, 547, 5094, 883, 19579, 2694, 282, 607, 267, 547, 23271, 4006, 282, 547, 23271, 513, 2754, 282, 547, 771, 6716, 1125, 282, 547, 2736, 909, 282, 8754, 267, 547, 3142, 547, 606, 1439, 676, 19459, 519, 2694, 267, 647, 837, 532, 513, 6935, 267, 3092, 5919, 547, 2165, 3729, 282, 547, 6861, 282, 547, 14145, 633, 540, 3196, 282, 607, 267, 547, 23271, 513, 11450, 282, 547, 23271, 12057, 563, 273, 269, 630, 341, 269, 512, 4700, 1677, 2736, 519, 15364, 540, 282, 547, 31028, 282, 547, 771, 684, 924, 282, 547, 647, 837, 282, 547, 3138, 4923, 282, 547, 3768, 334, 282, 547, 5094, 563, 274, 269, 630, 341, 269, 512, 4700, 1677, 6460, 883, 513, 5277, 676, 1797, 540, 3002, 267, 7509, 267, 3092, 1421, 282, 547, 15835, 282, 547, 4508, 1030, 344, 282, 547, 21352, 563, 275, 269, 630, 341, 269, 512, 4700, 1677, 4194, 282, 547, 2312, 909, 282, 547, 8207, 563, 276, 269, 630, 341, 269, 512, 4700, 1677, 6001, 676, 12257, 282, 547, 1118, 1379, 1652, 563, 277, 269, 630, 341, 269, 512, 4700, 1677, 3045, 592, 282, 547, 11324, 785, 282, 547, 11166, 610, 5305, 282, 607, 267, 547, 23271, 606, 3614, 4233, 563, 278, 269, 630, 341, 269, 1775, 4700, 1677, 3653, 2476, 282, 547, 581, 26632, 730, 282, 547, 581, 10920, 12723, 610, 7745, 909, 563, 279, 269, 630, 341, 269, 1775, 4700, 1677, 1831, 5714, 282, 547, 581, 24268, 282, 547, 581, 4508, 1030, 1221, 563, 280, 269, 630, 341, 269, 1775, 4700, 1677, 28201, 2476, 282, 547, 2887, 547, 4986, 282, 547, 6336, 1379, 563, 1805, 3994, 781, 12355, 3393, 273, 280, 269, 11792, 1695, 4534, 547, 15835, 267, 23271, 267, 581, 4508, 1030, 1221, 2483, 28843, 476, 3393, 273, 279, 267, 476, 3393, 273, 280, 269, 11792, 1695, 269, 476, 28526, 271, 3436, 20101, 547, 15835, 267, 23271, 454, 267, 581, 4508, 1030, 1221, 269, 25927, 28375, 912, 5733, 1695, 1912, 517, 2045, 26538, 281, 630, 332, 1177, 1606, 1177, 10807, 10374, 9502, 281, 8532, 269, 6478, 18882, 513, 2215, 3267, 1315, 515, 11119, 270, 3393, 273, 280, 21867, 910, 476, 277, 330, 454, 3393, 275, 280, 269, 11792, 553, 4534, 547, 23271, 267, 15835, 454, 1862, 24177, 476, 3393, 275, 279, 267, 476, 3393, 275, 280, 269, 11792, 553, 269, 476, 3393, 276, 271, 3436, 20101, 547, 23271, 267, 15835, 269, 25927, 28375, 281, 11792, 553, 1912, 517, 2045, 454, 8967, 2454, 281, 630, 332, 1177, 1606, 553, 10807, 10374, 9502, 281, 15835, 269, 6478, 18882, 513, 2215, 269, 4429, 270, 515, 11119, 270, 3393, 275, 280, 21867, 910, 476, 277, 330, 454, 31404, 278, 269, 544, 1872, 4534, 547, 15835, 454, 1862, 3597, 9502, 547, 15835, 7730, 289, 6478, 26402, 771, 24711, 2989, 630, 272, 1070, 23271, 630, 273, 1070, 15702, 454, 263, 273, 1070, 15835, 630, 274, 1070, 24268, 630, 273, 1070, 24268, 2476, 630, 275, 1070, 5283, 1206, 630, 272, 1070, 21352, 630, 272, 1040, 4429, 270, 515, 11119, 270, 31404, 278, 21867, 910, 476, 277, 330, 454, 5325, 275, 274, 269, 12103, 336, 26698, 4534, 547, 9178, 267, 4232, 267, 535, 6856, 267, 12566, 2476, 454, 1862, 8532, 2476, 267, 581, 18348, 267, 23271, 267, 12566, 2476, 269, 589, 18642, 3597, 282, 547, 15835, 3248, 14808, 584, 8271, 267, 547, 2095, 267, 546, 13388, 548, 267, 642, 4314, 4534, 8532, 2476, 267, 581, 4429, 270, 515, 11119, 270, 5325, 275, 274, 21867, 910, 476, 277, 330, 454, 279, 2767, 272, 269, 1352, 571, 4534, 547, 3138, 4923, 267, 705, 728, 454, 1862, 476, 272, 1070, 4194, 630, 272, 1070, 6061, 630, 272, 1070, 4682, 1793, 871, 630, 272, 1040, 2253, 267, 23271, 267, 17743, 267, 10690, 563, 10490, 18769, 545, 264, 513, 3597, 7222, 547, 602, 540, 521, 615, 17703, 628, 282, 547, 4429, 270, 515, 11119, 270, 279, 2767, 272, 21867, 910, 476, 277, 330, 454, 14321, 279, 269, 6095, 553, 4534, 547, 581, 16760, 454, 1862, 2736, 269, 589, 18642, 3597, 282, 547, 24807, 282, 849, 630, 842, 4920, 1438, 569, 543, 19562, 8271, 264, 547, 23271, 4534, 454, 19874, 269, 24177, 476, 14321, 278, 267, 476, 14321, 279, 269, 6095, 553, 269, 476, 14321, 280, 3436, 20101, 16200, 781, 10606, 563, 270, 515, 11119, 270, 14321, 279, 21867, 910, 476, 276, 330, 454, 27149, 271, 269, 669, 531, 531, 4534, 547, 16004, 267, 533, 15127, 454, 1862, 589, 18642, 3597, 630, 4818, 732, 669, 531, 1695, 5148, 5265, 267, 547, 16004, 267, 26759, 630, 2421, 29943, 264, 547, 10138, 2676, 1729, 23271, 282, 19562, 8271, 267, 547, 1527, 2033, 630, 320, 1268, 267, 1747, 610, 3364, 1070, 547, 2736, 4429, 270, 515, 11119, 270, 27149, 271, 21867, 910, 476, 277, 330, 454, 4792, 277, 276, 269, 1612, 541, 4534, 547, 2736, 267, 9933, 622, 454, 1862, 19562, 8271, 267, 26759, 1677, 29875, 267, 9933, 622, 4534, 2473, 1022, 2081, 267, 2736, 630, 553, 8974, 1070, 5641, 1055, 2676, 322, 1021, 547, 24044, 267, 2473, 2973, 267, 14710, 267, 771, 2335, 592, 267, 14922, 267, 23271, 267, 7941, 267, 1118, 4429, 270, 515, 11119, 270, 4792, 277, 276, 21867, 910, 476, 276, 330, 0, 13775, 693, 10732, 267, 476, 6734, 5437, 476, 1001, 280, 269, 8018, 269, 1635, 966, 1961, 3279, 2051, 2280, 563, 4322, 10406, 6096, 7472, 2042, 538, 799, 596, 1590, 7941, 513, 476, 274, 7857, 8918, 1297, 676, 513, 2582, 7857, 1297, 269, 1411, 949, 2824, 1063, 476, 1321, 267, 476, 1428, 267, 476, 1240, 267, 476, 2641, 267, 476, 2190, 610, 476, 1789, 2042, 585, 891, 6498, 3211, 563, 4322, 966, 3317, 12810, 6096, 616, 1390, 585, 2324, 2262, 2042, 540, 1114, 5036, 267, 18787, 267, 28963, 267, 543, 1264, 906, 1210, 1614, 5036, 269, 1452, 966, 3317, 12810, 6096, 786, 3132, 476, 1015, 2055, 593, 513, 2582, 966, 3317, 12810, 585, 519, 1053, 547, 2626, 563, 4322, 942, 2262, 2042, 3211, 786, 3132, 2055, 609, 1714, 17863, 2395, 267, 4374, 267, 3275, 267, 543, 1296, 267, 609, 4557, 2042, 829, 4976, 269, 1452, 2262, 2042, 3211, 616, 3617, 585, 476, 274, 6113, 6103, 267, 476, 275, 628, 6103, 267, 543, 476, 276, 628, 6103, 563, 12179, 1543, 267, 22028, 779, 267, 610, 824, 1570, 602, 1522, 581, 1336, 593, 519, 9995, 8663, 26020, 3896, 602, 568, 711, 9995, 8663, 26020, 779, 3959, 3788, 519, 10677, 540, 922, 9757, 8227, 4882, 269, 769, 1100, 1259, 1281, 9995, 8663, 26020, 3409, 9562, 610, 5539, 585, 971, 3688, 267, 543, 596, 1058, 3343, 3656, 9844, 585, 1022, 946, 540, 971, 2326, 689, 922, 8227, 563, 15648, 9736, 476, 1708, 271, 9995, 8663, 26020, 269, 2353, 7126, 27616, 269, 0, 1432, 20126, 547, 2142, 32087, 538, 513, 12834, 540, 606, 9137, 888, 11764, 3405, 1944, 513, 3194, 9137, 538, 476, 276, 17778, 5681, 3405, 1944, 513, 3194, 9137, 538, 476, 276, 17778, 11261, 281, 476, 1839, 2904, 267, 21145, 281, 5675, 3194, 4930, 5758, 946, 3044, 12043, 547, 5968, 538, 513, 2312, 6073, 1022, 2186, 540, 1344, 3823, 606, 4603, 269, 589, 1434, 1382, 2376, 1131, 2356, 2270, 513, 2140, 267, 606, 7493, 267, 606, 4367, 267, 1957, 12191, 267, 519, 2164, 267, 513, 4901, 267, 543, 930, 8100, 563, 2691, 596, 723, 547, 1957, 513, 5758, 540, 519, 1382, 1957, 267, 596, 786, 991, 547, 917, 875, 547, 8399, 689, 1376, 547, 9096, 269, 5272, 1469, 568, 1271, 952, 596, 948, 547, 2097, 909, 609, 1603, 1434, 2376, 5758, 538, 1603, 1813, 1576, 269, 1403, 596, 1616, 547, 1118, 513, 948, 602, 596, 666, 267, 2663, 593, 267, 1224, 1586, 543, 7618, 3054, 540, 519, 1543, 5758, 519, 2376, 267, 596, 949, 1616, 547, 1118, 707, 5758, 1957, 1793, 7660, 3476, 835, 563, 4913, 267, 952, 519, 5758, 729, 2854, 609, 519, 3483, 540, 1373, 3769, 1957, 513, 1957, 602, 596, 616, 4867, 1603, 267, 596, 949, 1616, 547, 6529, 547, 875, 602, 1978, 2376, 12211, 547, 707, 1957, 269, 2480, 534, 519, 9137, 6969, 5291, 2517, 8974, 1998, 4240, 560, 4169, 29335, 270, 5392, 278, 275, 1606, 5593, 2000, 537, 529, 10595, 1751, 2914, 3876, 1606, 26236, 3613, 3530, 21703, 1376, 2542, 519, 3003, 2376, 267, 596, 991, 547, 11571, 621, 585, 1543, 1101, 563, 289, 4361, 569, 267, 979, 936, 519, 2376, 543, 1413, 693, 1142, 540, 922, 6810, 530, 597, 1154, 1265, 281, 634, 2601, 585, 3257, 519, 1382, 543, 519, 1060, 329, 978, 7150, 2356, 1336, 538, 519, 4367, 634, 8367, 610, 19165, 602, 941, 7318, 538, 519, 2376, 849, 538, 519, 4367, 1215, 789, 7318, 519, 14805, 2378, 344, 1336, 538, 519, 12191, 1548, 519, 4681, 941, 1413, 585, 873, 538, 519, 2164, 1215, 1346, 4681, 941, 14648, 1336, 538, 519, 4901, 1879, 17655, 609, 519, 3483, 540, 1603, 5758, 4574, 267, 1142, 1883, 4845, 1058, 581, 896, 20040, 5758, 2854, 538, 519, 14345, 540, 519, 2376, 563, 763, 7493, 949, 581, 2111, 547, 948, 2697, 930, 540, 519, 2798, 282, 13099, 31014, 267, 596, 3112, 7048, 9003, 593, 1603, 2094, 519, 1344, 568, 1360, 27772, 543, 596, 666, 4413, 1978, 1883, 3344, 269, 3367, 519, 9137, 4495, 596, 8737, 17655, 707, 2376, 267, 596, 948, 547, 1224, 621, 8499, 1985, 563, 23087, 1142, 3296, 543, 1224, 621, 1896, 2053, 267, 6236, 707, 1957, 4967, 269, 1306, 596, 1224, 609, 519, 3483, 540, 1603, 513, 5758, 585, 519, 1382, 1957, 267, 1603, 3054, 519, 1739, 2055, 281, 1215, 1281, 519, 1374, 1603, 519, 2152, 1603, 519, 5758, 1548, 568, 519, 9295, 540, 713, 1353, 538, 16460, 519, 17095, 3522, 7549, 11012, 3378, 29652, 27569, 3522, 20046, 31502, 23970, 9686, 27799, 9841, 2243, 888, 6701, 519, 2164, 20310, 610, 9670, 286, 1548, 3344, 1705, 789, 1869, 4734, 796, 753, 26833, 286, 1879, 596, 1745, 899, 596, 666, 2491, 713, 1353, 547, 5758, 3116, 945, 814, 2943, 547, 1224, 519, 2376, 267, 948, 596, 616, 4712, 547, 1376, 1603, 827, 621, 269, 2142, 6297, 547, 1491, 4967, 538, 707, 1378, 1913, 865, 602, 596, 666, 2057, 17096, 538, 707, 5758, 4574, 269, 3503, 519, 12834, 3807, 899, 519, 7493, 267, 519, 3483, 540, 513, 5758, 585, 519, 1382, 1957, 786, 581, 547, 2285, 519, 5304, 513, 5618, 7650, 540, 1018, 602, 1353, 3081, 563, 2791, 786, 9034, 327, 547, 1265, 856, 1018, 1344, 568, 4143, 543, 2491, 621, 948, 855, 8499, 269, 2353, 1101, 31585, 540, 707, 5758, 4574, 1058, 1246, 519, 1931, 540, 519, 23970, 9686, 27799, 9841, 2376, 269, 3557, 519, 19165, 602, 941, 7318, 269, 14674, 519, 2409, 538, 513, 1906, 9433, 5171, 267, 1374, 267, 5650, 267, 2326, 267, 4830, 543, 8200, 4632, 267, 875, 789, 9916, 519, 1239, 13185, 827, 519, 2164, 543, 2491, 1946, 789, 941, 1603, 563, 763, 2164, 543, 948, 7664, 1058, 581, 2047, 1644, 547, 519, 8367, 269, 901, 1101, 8908, 540, 5758, 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 ]
[ 490, 6893, 488, 6893, 365, 6893, 503, 6893, 501, 6893, 369, 16055, 486, 6893, 499, 16055, 486, 6893, 511, 16055, 478, 6893, 503, 6893, 371, 16055, 486, 6893, 511, 6893, 485, 535, 267, 326, 281, 306, 9847, 674, 476, 6893, 489, 6893, 370, 16055, 486, 6893, 485, 6893, 501, 6893, 367, 16055, 481, 6893, 360, 16055, 487, 30916, 264, 24226, 478, 6893, 505, 16055, 485, 6893, 503, 6893, 486, 6893, 352, 6893, 368, 6893, 485, 6893, 359, 6893, 367, 6893, 360, 6893, 352, 6893, 365, 6893, 504, 6893, 501, 6893, 372, 6893, 479, 16055, 484, 1535, 11971, 24226, 481, 6893, 503, 590, 476, 6893, 500, 16055, 487, 32453, 674, 476, 6893, 350, 6893, 369, 6893, 359, 6893, 350, 32453, 6893, 488, 6893, 368, 6893, 479, 1775, 476, 6893, 489, 6893, 370, 16055, 486, 6893, 485, 1775, 273, 815, 910, 272, 476, 6893, 498, 6893, 365, 6893, 485, 6893, 503, 6893, 365, 16055, 487, 6893, 503, 535, 267, 326, 24226, 478, 6893, 505, 16055, 485, 6893, 503, 6893, 509, 6893, 365, 6893, 485, 6893, 479, 16055, 490, 6893, 488, 6893, 365, 6893, 503, 16055, 481, 6893, 503, 6893, 352, 6893, 373, 6893, 505, 6893, 480, 6893, 511, 6893, 485, 630, 1262, 264, 24226, 480, 6893, 498, 6893, 351, 6893, 501, 6893, 369, 16055, 486, 943, 328, 272, 267, 943, 328, 273, 24226, 478, 6893, 505, 16055, 485, 6893, 503, 6893, 362, 6893, 511, 16055, 480, 6893, 350, 6893, 350, 6893, 511, 6893, 352, 16055, 490, 6893, 509, 6893, 368, 6893, 359, 6893, 350, 16055, 490, 476, 6893, 501, 6893, 369, 16055, 486, 6893, 499, 16055, 486, 6893, 511, 16055, 478, 6893, 503, 6893, 371, 16055, 486, 6893, 511, 6893, 485, 6893, 486, 32453, 6893, 479, 630, 306, 267, 476, 16055, 494, 264, 24226, 482, 6893, 505, 6893, 359, 6893, 373, 16055, 486, 630, 293, 267, 4700, 24226, 481, 6893, 503, 6893, 479, 6893, 352, 6893, 497, 6893, 369, 6893, 501, 6893, 369, 16055, 486, 674, 24226, 482, 6893, 350, 16055, 486, 6893, 350, 6893, 369, 6893, 359, 6893, 350, 32453, 6893, 488, 6893, 368, 6893, 479, 1775, 476, 6893, 498, 6893, 365, 6893, 485, 6893, 479, 6893, 354, 16055, 486, 32453, 6893, 356, 16055, 478, 6893, 352, 32453, 6893, 359, 32453, 6893, 350, 32453, 6893, 352, 6893, 500, 6893, 480, 6893, 351, 32453, 6893, 351, 674, 24226, 482, 6893, 505, 16055, 478, 6893, 505, 16055, 485, 6893, 503, 674, 476, 6893, 489, 6893, 370, 16055, 486, 6893, 485, 6893, 350, 6893, 369, 6893, 359, 6893, 350, 32453, 6893, 488, 6893, 368, 6893, 479, 1775, 24226, 479, 6893, 354, 6893, 364, 16055, 481, 6893, 503, 6893, 479, 6893, 352, 6893, 497, 6893, 369, 6893, 503, 6893, 369, 16055, 487, 535, 267, 326, 24226, 478, 6893, 505, 16055, 485, 6893, 503, 6893, 509, 6893, 365, 6893, 485, 6893, 479, 16055, 490, 6893, 488, 6893, 365, 6893, 503, 16055, 481, 6893, 503, 6893, 352, 6893, 373, 6893, 505, 630, 30995, 264, 24226, 480, 6893, 498, 6893, 351, 6893, 501, 6893, 369, 16055, 486, 943, 328, 24226, 478, 6893, 505, 16055, 485, 6893, 503, 6893, 362, 6893, 511, 16055, 480, 6893, 350, 6893, 350, 6893, 511, 6893, 352, 16055, 490, 6893, 509, 6893, 368, 6893, 359, 6893, 350, 16055, 490, 476, 6893, 501, 6893, 369, 16055, 486, 6893, 499, 16055, 486, 6893, 511, 16055, 478, 6893, 503, 6893, 371, 16055, 486, 6893, 511, 6893, 485, 6893, 486, 32453, 6893, 479, 630, 306, 267, 476, 16055, 494, 264, 24226, 482, 6893, 505, 6893, 359, 6893, 373, 16055, 486, 630, 293, 267, 4700, 24226, 479, 6893, 354, 6893, 364, 943, 328, 476, 6893, 503, 6893, 368, 6893, 351, 32453, 6893, 350, 16055, 480, 6893, 498, 6893, 351, 943, 328, 3287, 264, 815, 943, 328, 3287, 264, 476, 6893, 489, 6893, 370, 16055, 486, 6893, 485, 6893, 482, 6893, 371, 6893, 511, 6893, 359, 6893, 365, 6893, 485, 6893, 351, 6893, 372, 6893, 482, 6893, 480, 6893, 511, 6893, 485, 943, 328, 3287, 2020, 293, 17313, 331, 4834, 13067, 14521, 3359, 630, 12385, 24136, 264, 12054, 580, 12952, 692, 26183, 22814, 290, 17920, 258, 4306, 2969, 4785, 454, 16631, 7732, 2433, 19080, 6893, 356, 6893, 508, 269, 22724, 273, 1315, 476, 24241, 272, 290, 4047, 290, 298, 590, 4047, 299, 309, 2464, 692, 2419, 592, 531, 6839, 781, 3883, 24822, 32369, 692, 19613, 692, 19423, 823, 540, 14288, 8249, 267, 932, 592, 531, 784, 330, 1941, 2160, 267, 1912, 599, 987, 2967, 681, 323, 269, 11202, 636, 9774, 10854, 330, 758, 476, 9818, 1789, 17289, 0, 293, 3555, 543, 27252, 4569, 692, 293, 3555, 2979, 3040, 20668, 540, 513, 6824, 17986, 376, 19940, 1297, 1492, 3677, 1297, 693, 519, 4395, 17986, 376, 23168, 1807, 268, 634, 1283, 1297, 17986, 376, 9324, 7631, 1807, 268, 634, 5377, 1297, 1215, 1454, 16741, 538, 2698, 2496, 293, 3555, 2979, 12882, 261, 258, 343, 736, 3722, 282, 391, 502, 692, 272, 780, 12024, 32159, 4534, 9617, 1039, 610, 10208, 519, 6746, 2209, 269, 9255, 519, 2626, 936, 519, 1455, 14009, 9521, 32159, 910, 2791, 1590, 476, 272, 560, 946, 8691, 547, 1118, 835, 14009, 1413, 899, 519, 824, 835, 269, 1411, 1287, 1246, 519, 1900, 835, 4640, 692, 273, 780, 274, 1535, 273, 476, 277, 1631, 2322, 1394, 538, 476, 279, 1535, 273, 815, 476, 1626, 543, 10208, 692, 293, 3555, 2979, 12882, 261, 258, 343, 736, 3722, 282, 391, 502, 1323, 16789, 6824, 568, 513, 6824, 1141, 519, 19362, 630, 1492, 1283, 1297, 264, 568, 3152, 982, 610, 3160, 547, 519, 14009, 630, 1492, 5377, 1297, 1040, 769, 824, 1913, 267, 621, 568, 1283, 13463, 8283, 269, 901, 2115, 547, 581, 1500, 883, 513, 6404, 1003, 1968, 692, 7078, 281, 476, 276, 270, 274, 630, 325, 633, 555, 8674, 264, 543, 476, 280, 270, 279, 630, 333, 710, 552, 662, 2195, 264, 616, 16789, 8454, 692, 3519, 31844, 8555, 704, 17773, 547, 24908, 1003, 1968, 3040, 1677, 6460, 606, 16789, 6824, 547, 513, 6404, 6824, 267, 1246, 891, 3268, 281, 3040, 265, 19147, 519, 19362, 676, 519, 14009, 269, 3040, 2608, 3503, 1524, 519, 2898, 1297, 2626, 3040, 2608, 3503, 1524, 1022, 14230, 1657, 519, 14009, 780, 293, 3555, 2979, 3040, 272, 4306, 654, 17751, 3040, 7078, 281, 22417, 476, 278, 270, 275, 547, 513, 6404, 6824, 269, 3040, 19667, 728, 281, 476, 278, 21680, 476, 275, 815, 476, 272, 5976, 513, 14230, 540, 476, 274, 3040, 2237, 1524, 519, 476, 272, 607, 513, 2898, 1297, 6533, 2328, 1524, 519, 14230, 630, 274, 264, 607, 519, 19362, 1657, 519, 14009, 630, 275, 1070, 3040, 2626, 692, 272, 692, 273, 21254, 654, 17751, 692, 274, 476, 275, 692, 1892, 20593, 1154, 24908, 27766, 547, 8555, 704, 17773, 3040, 1677, 6460, 513, 6404, 6824, 547, 606, 16789, 6824, 267, 1246, 891, 3268, 1384, 1892, 22177, 11372, 17586, 519, 2898, 1297, 851, 676, 519, 6824, 781, 14009, 269, 3040, 2608, 5410, 602, 547, 519, 19362, 3040, 2608, 3973, 2328, 519, 1267, 593, 1283, 540, 519, 14009, 780, 293, 3555, 2979, 3040, 7078, 281, 22417, 476, 274, 476, 273, 547, 606, 476, 276, 16789, 6824, 269, 3040, 11372, 17586, 519, 2898, 1297, 676, 519, 14009, 281, 476, 274, 6398, 476, 276, 815, 476, 1428, 3040, 11754, 519, 19362, 547, 602, 281, 476, 1428, 1341, 476, 273, 815, 476, 1704, 3040, 2237, 602, 1524, 1657, 519, 14009, 267, 899, 713, 281, 476, 1704, 692, 276, 692, 29002, 610, 18946, 3040, 17006, 6404, 27766, 17986, 376, 6744, 547, 1294, 952, 519, 32159, 616, 519, 6404, 27766, 1482, 267, 952, 711, 1265, 513, 1455, 14009, 17986, 376, 5410, 2898, 2338, 547, 2898, 2338, 543, 8454, 547, 8454, 17986, 376, 21079, 519, 6824, 17986, 376, 9255, 1927, 585, 519, 2626, 692, 1892, 16265, 24219, 6404, 27766, 17986, 376, 6744, 547, 1294, 952, 519, 32159, 616, 519, 1482, 267, 952, 711, 1265, 513, 1455, 14009, 17986, 376, 589, 264, 16265, 847, 2898, 2338, 547, 2898, 2338, 543, 8454, 547, 8454, 17986, 376, 645, 264, 1411, 949, 991, 547, 6460, 547, 16789, 8454, 952, 707, 476, 273, 526, 6824, 568, 2539, 1287, 519, 1101, 267, 1287, 10208, 17986, 376, 21079, 519, 6824, 17986, 376, 9255, 1927, 585, 519, 2626, 692, 3519, 31844, 547, 606, 16789, 6824, 692, 29002, 543, 16265, 24219, 17447, 3040, 3040, 3040, 3040, 692, 305, 2737, 910, 2141, 5447, 707, 8918, 4025, 910, 6875, 883, 2272, 1713, 9704, 910, 11754, 610, 10208, 609, 2834, 3652, 630, 538, 824, 1913, 10210, 543, 4163, 2020, 292, 326, 269, 476, 276, 269, 277, 1341, 476, 279, 269, 4905, 692, 276, 269, 2568, 1341, 279, 269, 4905, 476, 1724, 269, 8618, 692, 25648, 6473, 543, 10406, 540, 17447, 12882, 261, 258, 343, 736, 3722, 282, 391, 502, 18527, 630, 549, 1324, 8918, 2173, 8221, 264, 9062, 607, 952, 519, 8918, 568, 711, 972, 269, 1879, 596, 1205, 707, 2626, 267, 596, 1293, 519, 8918, 4025, 538, 519, 1079, 2338, 1373, 16611, 543, 1847, 602, 1082, 5624, 538, 707, 2626, 692, 19667, 1707, 630, 1492, 4469, 334, 831, 264, 910, 763, 8918, 6083, 1846, 909, 547, 519, 1283, 1354, 596, 1256, 7941, 780, 1892, 18527, 3040, 476, 273, 269, 4029, 815, 476, 23211, 1535, 476, 277, 269, 272, 1535, 476, 8618, 3040, 476, 23211, 3040, 476, 15946, 2568, 9732, 476, 9610, 11011, 815, 517, 576, 649, 1847, 519, 8918, 476, 1691, 269, 6021, 272, 692, 19667, 1707, 609, 17447, 476, 271, 269, 25834, 476, 1015, 264, 476, 274, 269, 2641, 692, 1015, 264, 476, 274, 476, 2641, 910, 271, 476, 3953, 910, 1789, 476, 2641, 910, 736, 476, 1015, 910, 1015, 476, 271, 692, 9172, 269, 284, 476, 271, 269, 476, 25834, 692, 15612, 908, 20587, 540, 606, 1843, 692, 1892, 1411, 3274, 3040, 476, 272, 264, 22417, 4939, 547, 513, 8918, 3040, 476, 273, 264, 9062, 676, 519, 2179, 540, 2724, 692, 1789, 4939, 540, 8096, 277, 269, 4200, 692, 277, 269, 4200, 2473, 1547, 1789, 2698, 540, 476, 275, 8918, 5624, 476, 1822, 476, 20385, 3583, 476, 20385, 3583, 1847, 519, 8918, 476, 275, 5624, 910, 1037, 952, 2556, 547, 519, 14282, 29784, 4888, 306, 269, 284, 8096, 273, 269, 6021, 278, 681, 15903, 547, 519, 14282, 29784, 815, 15478, 476, 273, 269, 1015, 692, 15612, 908, 4939, 1055, 12882, 261, 258, 343, 736, 3722, 282, 391, 502, 1411, 946, 519, 2698, 3902, 543, 9062, 676, 621, 5889, 261, 258, 343, 736, 3722, 282, 261, 258, 343, 18891, 273, 282, 338, 6871, 630, 607, 513, 8918, 264, 8096, 1789, 269, 2641, 609, 476, 1015, 260, 1055, 476, 1789, 269, 2641, 2473, 476, 271, 269, 272, 476, 23714, 272, 268, 1847, 519, 8918, 476, 274, 4025, 5775, 269, 284, 8096, 274, 269, 6349, 692, 2171, 666, 1287, 5173, 519, 1007, 3902, 676, 2921, 713, 2626, 543, 18946, 621, 689, 519, 476, 272, 560, 2179, 8096, 1789, 269, 2641, 910, 30668, 692, 8110, 1417, 720, 543, 2650, 11708, 5994, 22374, 4280, 476, 8517, 1004, 1018, 741, 741, 12797, 622, 7260, 269, 1215, 1082, 17329, 1142, 1826, 2496, 5889, 261, 258, 343, 736, 3722, 282, 391, 502, 1284, 666, 946, 12753, 543, 6697, 12753, 547, 4194, 2650, 11708, 609, 9103, 1023, 936, 476, 1911, 692, 20877, 532, 16390, 543, 10288, 8424, 692, 3519, 31844, 1109, 18719, 704, 1109, 17773, 1109, 1729, 1109, 300, 12089, 1109, 1003, 1968, 3040, 1677, 1109, 935, 3200, 1109, 534, 1109, 574, 27393, 1109, 6824, 1109, 1729, 1109, 320, 1109, 332, 12089, 1109, 325, 3555, 267, 1109, 1246, 1109, 28205, 1109, 25074, 281, 3040, 20593, 1154, 13718, 20877, 532, 16390, 543, 10288, 8424, 692, 3519, 31844, 1109, 18719, 704, 1109, 17773, 1109, 1729, 1109, 300, 12089, 1109, 1003, 1968, 3040, 1677, 1109, 935, 3200, 1109, 534, 1109, 574, 27393, 1109, 6824, 1109, 1729, 1109, 320, 1109, 332, 12089, 1109, 325, 3555, 267, 1109, 1246, 1109, 28205, 1109, 25074, 281, 3040, 20593, 1154, 1862, 0, 30206, 827, 2979, 267, 13410, 267, 3756, 543, 1187, 269, 5231, 2422, 995, 6698, 281, 21680, 6398, 476, 16006, 20734, 3980, 508, 9881, 510, 18016, 21759, 9881, 486, 2340, 18568, 13008, 17995, 18529, 16564, 3980, 368, 3980, 495, 3980, 360, 2485, 499, 12631, 2485, 481, 910, 382, 373, 476, 11054, 476, 23326, 11019, 692, 2791, 616, 711, 29429, 538, 780, 1012, 1948, 272, 476, 1001, 273, 268, 1015, 268, 5881, 476, 1556, 281, 6812, 281, 4391, 692, 292, 850, 523, 454, 300, 1897, 454, 8802, 626, 1229, 281, 476, 1001, 273, 268, 1015, 268 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16849, 454, 1038, 476, 9339, 8894, 1038, 3339, 2433, 11885, 269, 526, 6783, 318, 3697, 454, 2018, 3339, 6152, 540, 519, 7077, 2627, 693, 713, 1448, 454, 1038, 8173, 1038, 2132, 1582, 11519, 7538, 692, 825, 1219, 6449, 516, 1440, 9191, 1345, 2187, 1038, 544, 267, 533, 267, 562, 815, 1582, 11519, 332, 1468, 267, 1582, 11519, 6570, 267, 1582, 11519, 7538, 454, 1038, 2132, 834, 5522, 2033, 20719, 271, 9574, 2990, 28121, 272, 9574, 3339, 28121, 273, 16585, 2668, 8971, 9852, 267, 533, 267, 562, 994, 0, 26611, 23591, 24800, 270, 7090, 454, 258, 28605, 8193, 281, 32204, 268, 272, 20609, 8894, 12163, 25219, 1988, 3568, 513, 1297, 540, 4749, 1031, 3252, 563, 20701, 5814, 11885, 607, 5286, 454, 5814, 11885, 7456, 1400, 326, 607, 15829, 7531, 3698, 3339, 1125, 263, 6783, 2187, 825, 8173, 825, 16849, 513, 28348, 4528, 540, 519, 3177, 5044, 780, 825, 30352, 454, 825, 28612, 734, 454, 825, 5044, 2433, 11885, 269, 526, 6783, 318, 3697, 454, 1038, 634, 5044, 547, 581, 28348, 269, 2991, 2072, 5286, 7456, 1400, 326, 8542, 768, 3799, 5436, 1125, 263, 6783, 4917, 1038, 568, 5111, 3160, 547, 476, 272, 780, 825, 16849, 454, 825, 476, 9339, 8894, 825, 28348, 5044, 2433, 11885, 269, 526, 6783, 318, 3697, 454, 1038, 519, 5044, 28348, 547, 1770, 3259, 912, 1038, 5286, 7456, 1400, 326, 8542, 768, 3799, 5436, 1125, 263, 6783, 4297, 9625, 284, 476, 272, 780, 825, 14780, 2478, 454, 825, 476, 9339, 454, 825, 28759, 454, 1038, 952, 519, 3403, 5044, 3568, 5606, 781, 610, 15089, 781, 454, 825, 20023, 19667, 1707, 13286, 454, 1038, 952, 519, 3259, 540, 519, 3177, 5044, 814, 3259, 540, 14706, 519, 6498, 786, 454, 1038, 2014, 513, 20023, 19667, 1707, 13286, 547, 581, 6659, 692, 825, 6201, 454, 825, 28612, 454, 825, 21188, 3339, 1125, 8443, 272, 267, 476, 271, 267, 476, 271, 7481, 825, 1496, 272, 269, 271, 267, 476, 271, 269, 271, 267, 476, 271, 269, 271, 2639, 825, 21188, 3339, 1125, 8443, 273, 267, 476, 275, 267, 476, 275, 7481, 825, 1496, 271, 269, 18357, 18357, 3451, 267, 476, 271, 269, 26116, 26116, 6858, 267, 476, 271, 269, 26116, 26116, 6858, 2639, 825, 21188, 3339, 1125, 18828, 15126, 9230, 274, 267, 275, 267, 276, 21875, 825, 1496, 271, 269, 275, 2190, 25784, 5881, 267, 476, 271, 269, 276, 4792, 277, 5952, 5655, 267, 476, 271, 269, 3583, 278, 11793, 4281, 2639, 825, 12693, 5286, 7456, 1400, 326, 8542, 768, 3799, 5436, 1125, 9230, 343, 267, 586, 267, 1990, 30727, 9625, 284, 476, 272, 454, 825, 8173, 825, 952, 711, 5286, 18994, 325, 9548, 263, 6783, 1040, 718, 10031, 1038, 6318, 28759, 2891, 4692, 711, 3339, 1125, 5044, 15079, 2668, 8971, 263, 6783, 994, 13376, 1341, 834, 20357, 621, 3568, 10878, 301, 610, 5606, 5602, 825, 2343, 815, 15829, 8542, 768, 263, 6783, 994, 825, 952, 2343, 2999, 476, 272, 324, 268, 280, 912, 1038, 6318, 20023, 19667, 1707, 13286, 2891, 19667, 1707, 676, 4642, 5602, 825, 2132, 5044, 1315, 2343, 7531, 3698, 2638, 6958, 9548, 28949, 16911, 2187, 825, 8173, 825, 4406, 28371, 519, 3403, 6724, 543, 6318, 10025, 11293, 5558, 952, 1022, 3568, 454, 825, 22424, 26702, 2418, 630, 1103, 12028, 610, 10878, 28213, 264, 616, 1459, 780, 825, 30352, 454, 825, 28612, 734, 454, 825, 26571, 2433, 11885, 269, 526, 6783, 318, 3697, 454, 1038, 513, 1592, 540, 8638, 610, 14249, 692, 825, 14780, 2478, 454, 825, 476, 9339, 454, 825, 28759, 454, 1038, 952, 1022, 5293, 538, 3693, 568, 5606, 610, 10878, 301, 563, 825, 8173, 825, 585, 552, 538, 26571, 912, 1038, 952, 711, 5286, 18994, 325, 9548, 16216, 1040, 718, 10031, 2018, 6318, 28759, 2891, 19152, 729, 15079, 2668, 8971, 16216, 994, 23351, 1341, 14307, 855, 666, 711, 2270, 5606, 610, 10878, 301, 5602, 0, 5814, 3060, 343, 607, 562, 343, 454, 294, 815, 562, 343, 18667, 318, 539, 326, 601, 626, 3488, 23054, 9078, 3869, 27798, 272, 17902, 262, 9239, 3698, 966, 31855, 2567, 23526, 1948, 16493, 782, 540, 513, 3113, 781, 9136, 454, 825, 2132, 562, 343, 8542, 3941, 31855, 264, 1948, 7472, 281, 18358, 271, 3299, 1412, 272, 3299, 1412, 273, 3299, 1412, 274, 3299, 1412, 275, 3299, 1412, 276, 3299, 1412, 277, 3299, 1412, 278, 3299, 1412, 280, 3299, 1412, 279, 3299, 1412, 1015, 262, 6540, 3698, 661, 31855, 2187, 825, 2132, 562, 343, 269, 539, 2471, 31855, 264, 1948, 21646, 519, 6316, 1592, 585, 513, 3113, 454, 4449, 11434, 1948, 335, 1238, 806, 281, 1496, 3488, 271, 3299, 1412, 272, 30670, 18011, 271, 3299, 1412, 273, 30670, 18011, 271, 3299, 1412, 274, 30670, 18011, 271, 3299, 1412, 275, 30670, 18011, 271, 3299, 1412, 276, 30670, 18011, 272, 3299, 1412, 273, 30670, 18011, 272, 3299, 1412, 274, 30670, 18011, 273, 3299, 1412, 274, 30670, 18011, 275, 3299, 1412, 277, 30670, 18011, 276, 3299, 1412, 278, 30670, 18011, 276, 3299, 1412, 280, 30670, 18011, 277, 3299, 1412, 278, 30670, 18011, 277, 3299, 1412, 279, 30670, 18011, 280, 3299, 1412, 1015, 10807, 6540, 3698, 562, 31855, 2187, 825, 2132, 7003, 263, 309, 31855, 4297, 1948, 21646, 1297, 540, 3113, 9136, 454, 4449, 672, 1948, 335, 1238, 806, 281, 476, 1556, 3097, 3698, 544, 31855, 2187, 825, 2132, 7003, 27887, 31855, 4297, 1948, 21646, 8728, 585, 513, 3113, 454, 4449, 672, 1948, 335, 1238, 806, 281, 476, 1691, 454, 4449, 672, 3097, 3698, 4110, 318, 30084, 31855, 2187, 825, 667, 815, 1496, 323, 12801, 31855, 267, 642, 264, 585, 642, 538, 966, 31855, 22708, 825, 667, 31699, 263, 516, 2091, 815, 6936, 994, 825, 2132, 667, 19930, 1948, 4958, 5281, 519, 4110, 540, 1142, 9825, 538, 27312, 1931, 454, 4449, 672, 3097, 3698, 8953, 31855, 2187, 825, 2132, 1295, 8443, 324, 24443, 640, 31855, 267, 341, 264, 585, 642, 538, 966, 31855, 264, 8079, 567, 1948, 4103, 692, 3698, 8006, 31855, 2187, 825, 2132, 3193, 8443, 324, 24443, 640, 31855, 267, 642, 264, 585, 642, 538, 966, 31855, 264, 8079, 1948, 4103, 692, 3698, 5021, 5091, 12801, 31855, 2187, 825, 2132, 4110, 318, 30084, 31855, 264, 1496, 271, 316, 476, 1948, 4103, 692, 3698, 5934, 5091, 12801, 31855, 2187, 825, 2132, 4110, 318, 30084, 31855, 264, 30585, 272, 316, 476, 1948, 4103, 692, 3698, 1285, 326, 5091, 12801, 31855, 2187, 825, 2132, 2040, 5560, 12801, 318, 30084, 31855, 4297, 1315, 333, 31855, 264, 1948, 4103, 454, 0, 3667, 815, 1412, 396, 494, 11714, 30324, 11714, 3522, 9261, 10780, 23485, 9261, 21268, 11012, 4344, 4814, 30718, 4138, 267, 28314, 9686, 3264, 31128, 13150, 9841, 476, 13077, 13194, 21162, 3264, 25338, 7846, 7549, 8563, 9924, 267, 15800, 11714, 476, 4344, 21134, 24893, 25986, 6459, 3264, 18194, 3522, 21833, 3264, 25338, 7846, 7549, 27593, 2843, 508, 262, 1477, 2745, 630, 3667, 3418, 2745, 630, 3667, 21858, 3488, 3522, 10807, 10142, 18257, 306, 21858, 263, 4736, 4138, 9261, 8563, 17201, 1070, 17095, 30324, 18775, 9924, 13953, 476, 13077, 13194, 16648, 4138, 27593, 20046, 11012, 4344, 4814, 30718, 7846, 10780, 3378, 27188, 18547, 13194, 31606, 4709, 21134, 7846, 476, 13077, 13194, 9686, 3264, 20434, 16021, 6459, 19628, 23228, 18257, 0, 258, 396, 509, 4814, 22147, 13077, 9261, 9261, 3522, 10780, 3378, 476, 13077, 4736, 10948, 20046, 7846, 31560, 3522, 20732, 3264, 15671, 3378, 15800, 9686, 3264, 3522, 23783, 4709, 22147, 3378, 11714, 27799, 3522, 269, 31560, 21268, 4736, 4138, 9326, 476, 272, 630, 16021, 9261, 3522, 281, 476, 13077, 16648, 3378, 25000, 11012, 3378, 11012, 4344, 4814, 30718, 3522, 9261, 4138, 10142, 320, 284, 3403, 2891, 29551, 8563, 29391, 4138, 16021, 15800, 9261, 9326, 281, 14744, 321, 284, 703, 9272, 2891, 29551, 8563, 29391, 4138, 16021, 11012, 8563, 26281, 476, 4814, 3378, 13150, 630, 8563, 11012, 9261, 2567, 8442, 3418, 322, 284, 703, 9272, 2891, 29551, 8563, 29391, 4138, 16021, 11012, 8563, 26281, 11714, 27799, 281, 8442, 3418, 2745, 5416, 267, 3299, 11714, 3522, 20732, 15800, 9686, 3264, 3522, 23783, 21162, 13953, 11714, 27799, 281, 3299, 536, 268, 9083, 267, 1412, 7549, 15671, 262, 10142, 0, 258, 29824, 22147, 13077, 9261, 9261, 3522, 17095, 3522, 23783, 7549, 7846, 31124, 4344, 18775, 1477, 320, 284, 6358, 3488, 29551, 8563, 29391, 4138, 16021, 10780, 21268, 8563, 3378, 3264, 24893, 25986, 6459, 3378, 281, 1412, 3418, 321, 284, 6358, 3488, 29551, 8563, 29391, 4138, 16021, 11714, 4344, 18775, 3378, 3264, 24893, 25986, 6459, 3378, 281, 1412, 3418, 2745, 17301, 5416, 11924, 842, 6357, 17903, 5897, 5897, 0, 18411, 396, 509, 20046, 9326, 10780, 3264, 16417, 13953, 20732, 13833, 11714, 16044, 500, 4709, 20732, 7846, 16044, 486, 7549, 17201, 7846, 269, 2843, 507, 3522, 27188, 4814, 3378, 20500, 20686, 16044, 482, 20686, 13194, 7549, 7846, 23783, 4344, 7846, 23485, 2843, 373, 21134, 7846, 23970, 20265, 9686, 29652, 4138, 6459, 25974, 9326, 11714, 4138, 13194, 20265, 10948, 4138, 28821, 11012, 8563, 3378, 397, 498, 20413, 20686, 4736, 20500, 3264, 11714, 11012, 4344, 4814, 3378, 19628, 269, 2843, 498, 5284, 379, 21134, 5284, 370, 20686, 31224, 2843, 373, 21134, 7846, 16044, 484, 3264, 23970, 4814, 29652, 4138, 28821, 780, 396, 509, 4814, 22147, 13077, 9261, 3522, 16068, 4344, 23485, 9261, 7846, 397, 498, 21660, 11714, 17153, 20686, 9686, 14359, 3264, 13194, 4814, 3378, 13150, 3522, 19628, 10948, 7846, 10780, 25974, 6459, 20686, 9686, 13833, 4709, 20686, 13150, 9841, 14359, 19277, 7846, 13077, 23783, 17221, 17153, 24893, 25986, 3264, 6459, 267, 16044, 487, 3378, 16068, 13194, 20265, 10948, 3522, 19628, 31224, 23970, 4814, 20686, 13150, 17095, 5284, 370, 21170, 397, 501, 2843, 375, 19628, 9686, 4138, 17221, 11714, 11012, 4344, 4814, 3378, 19628, 563, 396, 509, 20686, 4736, 31124, 16044, 484, 9841, 22147, 3378, 11714, 8563, 19757, 4138, 31224, 31502, 24893, 25986, 6459, 3378, 2473, 910, 23970, 4814, 20686, 13150, 2843, 509, 20046, 20686, 269, 2843, 352, 4736, 20686, 24893, 25986, 20977, 27188, 11714, 17153, 20686, 9686, 17221, 17153, 18194, 3522, 17221, 17153, 14359, 19277, 7846, 13077, 23783, 4709, 20686, 16044, 500, 14359, 3264, 10780, 3264, 16417, 8563, 4138, 27569, 7846, 19628, 31224, 476, 1220, 269, 8528, 29551, 4138, 8563, 29391, 20686, 31224, 14359, 21134, 21268, 267, 10780, 20686, 9686, 476, 9326, 24012, 9261, 2843, 509, 20046, 9326, 10780, 13833, 4138, 4709, 12811, 11012, 4344, 19277, 4138, 18194, 3378, 11012, 4344, 4814, 3378, 19628, 269, 2843, 363, 7549, 27569, 3378, 11714, 11012, 4344, 4814, 3378, 19628, 16044, 498, 2843, 375, 19628, 9686, 4138, 23970, 16068, 9686, 20265, 7549, 13833, 4138, 9261, 23970, 4814, 3378, 13150, 21134, 267, 476, 25000, 24012, 9261, 2843, 370, 3264, 267, 476, 9326, 7549, 27188, 2843, 509, 20046, 20686, 267, 476, 26580, 11714, 20686, 4709, 10780, 13833, 4138, 4709, 12811, 11714, 13150, 19277, 4138, 10780, 20686, 4736, 31124, 14359, 4138, 17153, 563, 18411, 295, 17342, 842, 22607, 264, 585, 554, 538, 3403, 2891, 29551, 8563, 29391, 20686, 31224, 23970, 4814, 20686, 13150, 11714, 4736, 20686, 17153, 27188, 10948, 4709, 20686, 8563, 281, 834, 1040, 20889, 3890, 2639, 311, 25507, 9272, 2891, 29551, 8563, 29391, 20686, 31224, 23970, 4814, 20686, 13150, 2843, 509, 20046, 20686, 281, 27328, 604, 2473, 285, 1220, 912, 825, 1820, 3488, 29551, 8563, 19757, 9841, 16021, 2843, 375, 4138, 20732, 3264, 23970, 20265, 10948, 12811, 4709, 9326, 267, 16044, 487, 3378, 14359, 3264, 10780, 3264, 16417, 8563, 4138, 27569, 19628, 19628, 31224, 476, 1220, 5073, 1721, 1775, 538, 2039, 263, 271, 267, 6352, 263, 295, 9984, 272, 2187, 825, 952, 670, 5157, 316, 285, 1220, 912, 1038, 1820, 2891, 29551, 8563, 19757, 9841, 16021, 2843, 375, 4138, 20732, 3264, 23970, 20265, 10948, 12811, 4709, 9326, 267, 16044, 487, 3378, 14359, 3264, 10780, 3264, 16417, 8563, 4138, 27569, 19628, 19628, 31224, 476, 1220, 316, 5602, 825, 3116, 912, 1038, 952, 670, 5157, 316, 285, 284, 311, 543, 670, 5157, 266, 272, 316, 283, 311, 912, 2018, 1820, 2891, 396, 507, 21134, 21268, 2843, 509, 20046, 20686, 11714, 11012, 4344, 4814, 19628, 281, 834, 266, 1598, 9217, 266, 273, 4917, 3546, 22562, 13872, 0, 12163, 396, 498, 3522, 21170, 18194, 3264, 13953, 13150, 8563, 4138, 16021, 23783, 21170, 3264, 10780, 17201, 5284, 370, 4138, 16021, 23783, 21170, 3264, 24893, 25986, 6459, 3378, 513, 15800, 16044, 484, 3264, 6459, 3378, 324, 24893, 25986, 6459, 3378, 562, 780, 29551, 9924, 10948, 25986, 20434, 16021, 606, 269, 2843, 510, 3264, 20732, 23845, 3264, 16068, 32553, 18775, 9261, 4138, 16021, 11714, 11714, 4138, 9686, 3264, 16044, 482, 7846, 4709, 7549, 30530, 4138, 1379, 5416, 267, 562, 1916, 12163, 320, 815, 10581, 9272, 2891, 320, 815, 27328, 333, 815, 703, 9272, 2891, 333, 815 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1239, 543, 2923, 621, 568, 5116, 593, 563, 763, 12729, 4859, 8637, 1239, 593, 538, 32472, 3457, 267, 971, 607, 20433, 543, 519, 16267, 781, 700, 272, 21461, 269, 18520, 4859, 2882, 782, 1346, 1239, 799, 616, 6740, 593, 7148, 525, 267, 2182, 28283, 543, 824, 3457, 1210, 519, 594, 23860, 5106, 269, 18520, 4859, 2923, 568, 3833, 2442, 538, 6531, 4859, 269, 2755, 3119, 4859, 568, 5488, 547, 1569, 267, 6281, 4859, 666, 13918, 811, 1239, 563, 15187, 1740, 5900, 3737, 19554, 630, 2793, 306, 264, 568, 513, 2780, 1239, 4859, 7746, 267, 799, 568, 7923, 547, 513, 2780, 3060, 269, 634, 3758, 7400, 7746, 2488, 1239, 1569, 547, 513, 3309, 1895, 540, 7218, 269, 898, 5161, 540, 835, 610, 1082, 4859, 11479, 267, 799, 616, 11231, 538, 32118, 4859, 11149, 630, 6938, 2839, 1040, 898, 568, 513, 7463, 2780, 267, 799, 568, 2966, 547, 957, 607, 513, 3483, 32472, 7746, 543, 2337, 538, 4687, 6119, 936, 519, 3060, 269, 7730, 6411, 607, 1312, 267, 3758, 1062, 543, 4859, 1062, 269, 901, 4183, 2306, 621, 513, 1732, 4781, 982, 590, 3198, 630, 1805, 4392, 9351, 8416, 1070, 799, 3091, 1175, 3625, 2861, 4859, 563, 2793, 306, 3457, 666, 581, 17618, 5258, 883, 1614, 6688, 1107, 8950, 15369, 7730, 267, 6789, 2975, 1759, 7730, 267, 543, 2506, 5523, 4765, 3590, 9122, 7730, 269, 13966, 609, 3246, 519, 21438, 4859, 547, 7817, 5904, 267, 7730, 849, 2337, 2539, 21057, 1949, 267, 971, 607, 267, 13337, 2389, 26985, 543, 4452, 28394, 3496, 15737, 267, 543, 1357, 7746, 1949, 269, 0, 21430, 538, 7201, 12392, 7177, 4065, 454, 1607, 4702, 2069, 1382, 11394, 547, 3035, 519, 6848, 3804, 540, 16734, 1480, 1761, 676, 2810, 519, 1297, 267, 4763, 267, 543, 12588, 540, 13241, 4648, 998, 513, 3084, 22687, 602, 5252, 919, 267, 28352, 267, 543, 9070, 919, 10435, 538, 7201, 12392, 13241, 4065, 630, 300, 27516, 1040, 769, 713, 2796, 267, 10435, 11498, 3564, 519, 2241, 957, 540, 1486, 19685, 547, 519, 2168, 20032, 543, 4835, 1436, 540, 7493, 13241, 2035, 269, 769, 519, 14713, 3942, 267, 519, 1382, 2319, 786, 25162, 543, 2936, 2200, 24579, 31810, 585, 10435, 543, 1644, 15338, 690, 625, 602, 1331, 31913, 4804, 267, 5741, 15369, 543, 9046, 15369, 19019, 267, 543, 6796, 6441, 792, 940, 547, 19411, 622, 538, 513, 7524, 2146, 3927, 1210, 513, 1007, 476, 279, 267, 4335, 13483, 10264, 15670, 10628, 269, 769, 519, 6388, 3942, 267, 13241, 12200, 786, 2936, 519, 16916, 2200, 538, 10435, 15129, 6030, 607, 1134, 607, 24891, 6030, 538, 799, 513, 1164, 8167, 540, 1053, 6060, 513, 667, 267, 2060, 9526, 267, 610, 674, 841, 630, 291, 310, 293, 5148, 891, 6030, 786, 581, 6462, 676, 15938, 631, 6033, 4149, 3273, 1513, 267, 1082, 945, 786, 581, 772, 5938, 778, 840, 28129, 3610, 543, 513, 5354, 540, 7247, 786, 581, 689, 26173, 2516, 269, 634, 18640, 3942, 786, 6218, 519, 7459, 547, 3391, 6024, 6454, 267, 7184, 12250, 1125, 519, 7459, 998, 606, 15445, 27545, 8274, 267, 543, 17618, 22412, 622, 547, 2146, 2852, 543, 824, 4891, 2509, 519, 14713, 540, 513, 3084, 631, 27516, 29663, 563, 4504, 21526, 8585, 527, 281, 2598, 23002, 2861, 2069, 1382, 814, 2907, 3254, 602, 519, 6069, 15338, 690, 625, 630, 10175, 10435, 264, 616, 2500, 267, 2943, 13849, 12845, 26087, 525, 540, 1082, 13241, 6304, 3292, 5815, 602, 17319, 7589, 3631, 723, 8959, 547, 3142, 827, 6190, 1689, 282, 519, 1445, 540, 13241, 6963, 1590, 581, 593, 5009, 519, 6388, 540, 7459, 2907, 1634, 547, 581, 2500, 2864, 982, 593, 12570, 519, 4093, 540, 891, 7459, 269, 22353, 267, 519, 4640, 1934, 568, 547, 5702, 5447, 519, 631, 27516, 1982, 609, 519, 3984, 9872, 779, 5692, 543, 2528, 269, 769, 713, 2796, 267, 519, 7245, 666, 2154, 519, 946, 540, 519, 6069, 631, 27516, 7459, 538, 4295, 6030, 1282, 1576, 20319, 543, 14357, 10467, 282, 771, 15517, 539, 12200, 666, 581, 15260, 11220, 547, 824, 6030, 610, 2757, 1576, 6810, 585, 6476, 269, 634, 1382, 2319, 786, 8495, 1079, 1644, 19165, 269, 3689, 267, 519, 1382, 2319, 786, 3313, 952, 13241, 7459, 616, 8449, 2500, 538, 16601, 543, 17319, 1576, 10467, 3448, 547, 513, 1305, 540, 3964, 2773, 14573, 585, 2757, 267, 1705, 12519, 1576, 17008, 269, 5822, 267, 2016, 519, 991, 547, 26544, 538, 513, 4763, 540, 6030, 609, 9867, 3872, 6859, 267, 519, 1382, 2319, 786, 849, 1449, 2436, 1788, 2861, 30582, 602, 7520, 10282, 540, 1576, 1543, 2066, 519, 12732, 540, 513, 19496, 8428, 538, 2773, 4093, 689, 1966, 2861, 30582, 602, 15652, 1576, 1543, 883, 2789, 4130, 2042, 267, 1586, 9236, 1312, 6304, 3631, 547, 1705, 12519, 1576, 17008, 563, 289, 5802, 518, 28620, 281, 634, 631, 27516, 1982, 786, 723, 513, 1463, 1764, 593, 476, 9262, 13241, 12200, 267, 7598, 936, 476, 1220, 6030, 543, 7674, 5111, 476, 276, 267, 1822, 1053, 269, 634, 6069, 1982, 786, 849, 2047, 1764, 476, 14862, 631, 6033, 4149, 3273, 1513, 267, 519, 5354, 689, 26173, 5095, 267, 945, 786, 4309, 538, 3829, 2866, 267, 2673, 29013, 267, 543, 3407, 1995, 538, 741, 3028, 269, 634, 1702, 6591, 998, 519, 1982, 11056, 786, 581, 22993, 538, 606, 21287, 540, 10435, 2200, 609, 11837, 547, 1808, 1565, 6859, 602, 786, 1683, 3407, 5583, 585, 824, 10435, 2861, 21195, 269, 18734, 786, 2049, 998, 5993, 11925, 267, 772, 5938, 778, 267, 543, 824, 3084, 19014, 267, 2757, 12326, 267, 543, 513, 6237, 267, 952, 711, 3084, 267, 631, 27516, 29663, 269, 634, 6069, 1982, 786, 15407, 519, 2164, 540, 1991, 22085, 293, 14102, 960, 1644, 547, 12250, 1436, 609, 31246, 26091, 630, 22546, 540, 20513, 22580, 593, 4804, 3414, 6796, 264, 543, 20793, 21201, 630, 306, 16291, 4804, 21091, 2429, 513, 5441, 540, 7177, 1070, 607, 1134, 607, 1995, 1644, 547, 1635, 23331, 779, 476, 276, 292, 27380, 609, 772, 5938, 778, 267, 10435, 609, 519, 2160, 779, 15670, 10628, 267, 543, 20835, 609, 16338, 300, 5474, 269, 1452, 19017, 2833, 786, 11694, 519, 1982, 7418, 543, 23425, 547, 513, 1804, 3099, 540, 5238, 269, 1306, 513, 1267, 267, 519, 6069, 1982, 786, 3648, 2333, 519, 1297, 267, 4763, 267, 543, 2298, 540, 7041, 540, 13241, 4648, 547, 3986, 1480, 10304, 563, 26045, 26426, 5336, 617, 1564, 3955, 31147, 17593, 543, 5438, 21377, 2622, 338, 630, 290, 13072, 547, 12540, 582, 6601, 516, 2023, 2235, 320, 476, 1960, 276, 994, 10048, 3011, 1005, 4934, 338, 25703, 267, 744, 985, 327, 1681, 267, 543, 6820, 4982, 10329, 454, 10048, 3011, 1005, 568, 1631, 513, 3084, 4640, 585, 1082, 2477, 547, 8396, 3500, 2804, 2208, 267, 543, 9797, 9763, 609, 519, 1699, 7678, 540, 968, 976, 327, 1681, 892, 4914, 5663, 4238, 269, 1284, 1020, 513, 3444, 28029, 787, 9695, 2203, 602, 25221, 5663, 7694, 607, 513, 1599, 540, 2551, 2208, 267, 4914, 1463, 5092, 267, 543, 11449, 1379, 26027, 269, 11778, 998, 519, 1032, 476, 13975, 271, 2303, 602, 5663, 568, 7678, 532, 2509, 513, 2518, 11466, 609, 2362, 2157, 540, 5663, 17016, 855, 1454, 2539, 2157, 540, 5663, 7694, 269, 634, 2601, 568, 602, 2477, 4043, 547, 11457, 689, 2348, 2370, 5663, 547, 968, 5570, 617, 640, 892, 5663, 693, 1804, 4336, 543, 1970, 13848, 269, 1306, 5989, 543, 1480, 3854, 1020, 267, 972, 568, 519, 12402, 547, 11654, 968, 611, 341, 2331, 892, 5663, 538, 1489, 540, 2362, 13848, 269, 634, 5478, 540, 968, 5570, 617, 640, 892, 2472, 568, 1287, 16080, 712, 1027, 547, 1346, 2477, 609, 2539, 3790, 20582, 676, 741, 1447, 2919, 5989, 543, 1480, 3854, 543, 865, 519, 4075, 6681, 4783, 5170, 269, 2755, 713, 2203, 5267, 602, 1699, 3646, 538, 26016, 1436, 540, 6469, 5663, 1131, 1291, 547, 606, 2333, 538, 5763, 538, 519, 2136, 2276, 267, 519, 3983, 3377, 568, 602, 891, 12374, 616, 12691, 547, 581, 4264, 538, 519, 1279, 2165, 269, 634, 1434, 3377, 568, 602, 5663, 6411, 607, 513, 8375, 20352, 602, 12651, 782, 6082, 543, 938, 2518, 2298, 540, 1272, 269, 0, 299, 2464, 674, 21135, 2464, 667, 308, 21614, 296, 454, 291, 18805, 540, 519, 3751, 454, 21914, 8402, 2473, 4353, 540, 5333, 4956, 547, 9772, 513, 1544, 547, 3715, 513, 1732, 9087, 1054, 1245, 538, 519, 1007, 3345, 1977, 2051, 3415, 540, 20563, 269, 634, 3751, 781, 1544, 729, 547, 5000, 2582, 610, 11097, 15735, 1762, 2021, 547, 979, 547, 20563, 267, 19533, 835, 540, 519, 2582, 610, 11097, 15735, 3943, 5443, 972, 267, 6318, 513, 1920, 543, 3715, 2933, 607, 8628, 21152, 269, 22702, 547, 5333, 519, 1715, 2622, 729, 10792, 267, 609, 519, 3668, 540, 29319, 267, 519, 8594, 689, 519, 12075, 267, 10792, 24475, 543, 922, 10072, 269, 634, 1942, 540, 11488, 1142, 674, 14792, 5918, 10162, 328, 547, 1715, 5333, 729, 476, 1911, 561, 643, 637, 281, 476, 1015, 585, 519, 19684, 267, 476, 1789, 585, 7802, 543, 476, 2568, 585, 519, 15385, 3294, 4534, 1492, 2698, 1373, 10199, 6697, 547, 1269, 15647, 269, 876, 2221, 269, 1306, 606, 24539, 547, 21821, 267, 519, 1762, 2021, 941, 547, 581, 13752, 513, 9419, 787, 540, 689, 476, 2004, 3943, 6550, 909, 269, 630, 10666, 1269, 8064, 269, 876, 538, 2221, 779, 9489, 264, 634, 9576, 1726, 21204, 3177, 519, 2556, 7482, 543, 729, 4628, 6462, 676, 3751, 8402, 2473, 4353, 540, 5333, 269, 4935, 267, 1813, 547, 713, 1489, 267, 891, 16461, 1080, 3357, 547, 581, 1572, 968, 299, 525, 674, 14792, 5918, 10162, 328, 5608, 610, 834, 763, 18301, 667, 18805, 257, 538, 2296, 563, 1103, 5333, 267, 25110, 20577, 9307, 519, 3751, 781, 1982, 689, 519, 17870, 527, 538, 606, 3801, 547, 15313, 14718, 1762, 2021, 547, 4734, 5333, 543, 2951, 547, 519, 1715, 2622, 269, 634, 1762, 2021, 941, 5143, 789, 1131, 581, 3257, 834, 320, 1434, 3028, 585, 2696, 543, 741, 2197, 257, 547, 979, 547, 713, 18642, 2244, 543, 19533, 519, 2582, 2367, 540, 20563, 563, 763, 674, 14792, 5918, 10162, 328, 10457, 941, 5402, 13603, 676, 8069, 540, 519, 3751, 540, 5333, 585, 741, 1434, 7907, 269, 19475, 5815, 1082, 1185, 1434, 10080, 267, 930, 609, 1434, 1534, 725, 282, 930, 1185, 2724, 689, 27836, 1734, 282, 2943, 1866, 609, 2370, 610, 1100, 2069, 269, 2368, 3357, 689, 5580, 1647, 1362, 3885, 267, 855, 585, 519, 1034, 851, 267, 789, 941, 4057, 32066, 3484, 6690, 945, 1185, 1360, 2370, 2069, 543, 1223, 9444, 1224, 610, 2328, 269, 1280, 513, 1974, 540, 5722, 1296, 267, 519, 3751, 540, 5333, 2366, 693, 1010, 13258, 267, 1896, 8536, 1762, 2021, 547, 1715, 5333, 267, 519, 16461, 1746, 540, 674, 14792, 5918, 10162, 328, 3576, 1747, 538, 8303, 267, 22748, 523, 543, 824, 7187, 4872, 540, 5333, 269, 3962, 1185, 547, 1459, 741, 4332, 22783, 543, 513, 16252, 689, 741, 25110, 17308, 610, 2199, 4012, 626, 3433, 602, 1352, 729, 1863, 547, 19533, 269, 589, 1906, 2021, 3357, 689, 824, 3864, 2477, 267, 1519, 5125, 267, 4789, 267, 543, 17577, 269, 1280, 930, 2021, 945, 941, 610, 874, 753, 610, 1185, 1100, 2883, 16548, 267, 621, 729, 513, 4960, 585, 513, 1732, 1272, 269, 769, 1346, 2395, 513, 4807, 1510, 3237, 610, 945, 729, 4057, 1185, 1100, 9419, 787, 269, 9453, 513, 9419, 787, 267, 789, 1223, 9444, 19533, 6862, 1831, 513, 562, 684, 538, 519, 5939, 269, 4256, 1152, 4781, 729, 513, 1272, 540, 1425, 3363, 563, 763, 6074, 941, 4371, 547, 1085, 14442, 592, 748, 4441, 267, 799, 10704, 593, 741, 834, 332, 7394, 1608, 9200, 257, 543, 2436, 789, 941, 9308, 3514, 2614, 547, 7639, 519, 2182, 960, 18796, 676, 1272, 607, 513, 3935, 626, 269, 769, 1249, 267, 1896, 540, 519, 6445, 525, 5918, 10162, 328, 941, 2366, 1394, 547, 5333, 1317, 789, 941, 24565, 711, 547, 14183, 519, 4441, 1305, 856, 676, 519, 3751, 543, 519, 15752, 540, 5333, 563, 17829, 6074, 941, 3177, 741, 1942, 540, 8574, 689, 5333, 543, 1142, 4607, 513, 4126, 9221, 609, 2123, 3688, 799, 849, 3769, 4052, 3688, 267, 8142, 267, 19271, 267, 20382, 267, 2036, 267, 23805, 267, 31009, 543, 930, 6666, 267, 1851, 824, 3688, 269, 1358, 941, 3177, 5078, 7802, 543, 14074, 2390, 741, 12625, 538, 20563, 269, 4107, 7283, 538, 20563, 267, 1247, 519, 6967, 941, 2366, 547, 27292, 543, 18858, 529, 7304, 643, 773, 637, 547, 2743, 519, 14718, 536, 659, 3559, 832, 538, 1346, 2127, 563, 5475, 513, 829, 559, 748, 543, 13943, 3460, 2066, 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 ]
[ 1294, 873, 568, 950, 596, 1065, 582, 269, 29321, 548, 1200, 10838, 824, 9341, 2371, 1932, 952, 519, 824, 3681, 616, 2009, 269, 1306, 971, 267, 596, 1616, 547, 1832, 621, 2476, 689, 23761, 602, 1995, 713, 607, 1134, 607, 2011, 2783, 619, 269, 1879, 519, 1283, 851, 540, 519, 3037, 568, 3819, 267, 2196, 2614, 561, 8123, 342, 1301, 267, 22012, 1216, 14961, 998, 519, 29238, 3037, 269, 10507, 575, 2830, 782, 518, 26204, 281, 8614, 536, 684, 614, 546, 553, 700, 879, 321, 267, 3186, 334, 803, 15590, 700, 32218, 530, 2273, 1649, 7238, 339, 580, 339, 269, 15233, 519, 2067, 5521, 8336, 12353, 585, 1655, 2164, 269, 10671, 2231, 5140, 12775, 950, 538, 17428, 269, 769, 1840, 547, 950, 547, 1216, 519, 2030, 267, 621, 568, 11338, 1271, 547, 946, 519, 1318, 2186, 540, 1216, 269, 16259, 606, 3063, 1494, 2059, 609, 4195, 29238, 3037, 269, 26023, 547, 1416, 585, 513, 2836, 7752, 320, 4053, 320, 3821, 596, 991, 547, 1683, 621, 609, 14246, 543, 11195, 267, 1216, 621, 5781, 543, 1265, 513, 6505, 5544, 585, 621, 856, 540, 1463, 7943, 269, 32273, 355, 2836, 7752, 553, 991, 9940, 543, 9793, 1769, 269, 19375, 918, 4532, 4660, 476, 275, 267, 12293, 267, 30444, 5784, 2755, 2706, 3608, 267, 621, 568, 849, 519, 1942, 31586, 3070, 269, 1215, 547, 22320, 1299, 5516, 585, 2836, 7752, 320, 6519, 674, 4288, 267, 1215, 547, 22320, 543, 5516, 585, 2836, 7752, 320, 14858, 1962, 2088, 630, 313, 324, 3630, 7233, 1070, 2836, 7752, 320, 2405, 718, 542, 630, 9773, 7752, 320, 14986, 641, 1112, 320, 2048, 8469, 718, 542, 32426, 5516, 1299, 9669, 267, 2836, 7752, 320, 2107, 321, 604, 16288, 7233, 5516, 1107, 19663, 27302, 7233, 267, 2836, 7752, 320, 7233, 5516, 1107, 1215, 547, 22320, 519, 14858, 3630, 7233, 267, 2659, 4757, 2232, 786, 711, 581, 3370, 269, 9320, 267, 1079, 3193, 269, 1358, 2811, 1114, 1317, 519, 2836, 7752, 320, 568, 513, 11195, 2000, 8221, 2030, 543, 568, 3833, 513, 19818, 344, 2030, 269, 2836, 7752, 320, 1660, 320, 3821, 29263, 538, 6505, 1769, 267, 6870, 689, 1463, 24106, 269, 2755, 27191, 616, 4443, 585, 1034, 2777, 8690, 267, 621, 3884, 1406, 513, 1434, 4781, 585, 713, 2030, 269, 3245, 519, 3296, 1657, 267, 596, 666, 4440, 7058, 602, 519, 1608, 7752, 320, 1660, 320, 3821, 21593, 5848, 267, 1134, 1673, 20995, 3037, 269, 634, 29116, 23469, 3039, 543, 5835, 21364, 16714, 540, 713, 2836, 7752, 320, 2249, 1039, 12716, 9029, 547, 11623, 267, 13646, 267, 543, 1022, 11255, 2230, 269, 769, 519, 3395, 4005, 267, 2836, 7752, 320, 2371, 949, 991, 14450, 12353, 269, 17968, 267, 596, 666, 798, 621, 3054, 607, 1134, 269, 11524, 1450, 1216, 547, 1780, 998, 1454, 18334, 269, 4595, 596, 2461, 968, 3333, 8667, 532, 892, 519, 3993, 2030, 950, 596, 5094, 2694, 540, 621, 267, 3597, 6498, 568, 513, 1434, 1259, 547, 3970, 519, 2450, 540, 707, 2030, 607, 1134, 269, 2836, 7752, 320, 2371, 723, 513, 10639, 585, 1373, 1710, 1157, 344, 269, 1548, 3116, 1058, 596, 798, 547, 1416, 585, 713, 9341, 16280, 1494, 1540, 2030, 286, 1403, 3395, 2175, 616, 711, 4998, 267, 2836, 7752, 320, 1660, 320, 3821, 666, 8858, 6978, 1225, 1782, 267, 1020, 6960, 6978, 4388, 267, 610, 7985, 689, 5323, 14563, 3762, 269, 1306, 513, 4341, 267, 519, 2030, 21593, 5848, 267, 14927, 2175, 269, 7233, 519, 3296, 883, 922, 1378, 1494, 543, 2322, 519, 3993, 2030, 1394, 883, 922, 4540, 8708, 269, 634, 1608, 7752, 320, 1660, 320, 3821, 21593, 5420, 547, 6505, 267, 9940, 1769, 269, 30064, 21746, 616, 519, 1034, 1455, 2030, 11641, 7133, 2836, 7752, 320, 1660, 320, 3821, 269, 634, 2836, 7752, 320, 2371, 11604, 2470, 779, 11733, 267, 2899, 519, 6640, 1769, 814, 6603, 519, 4055, 267, 519, 3762, 3262, 856, 547, 6952, 519, 1769, 267, 543, 538, 519, 10543, 789, 7444, 2673, 1586, 269, 1677, 1416, 5265, 585, 2836, 7752, 320, 1660, 320, 3821, 2777, 8690, 543, 547, 2226, 922, 6946, 6978, 4806, 267, 1747, 621, 538, 6505, 9940, 1769, 269, 2836, 7752, 320, 1660, 320, 3821, 568, 711, 20715, 547, 7314, 267, 5243, 267, 610, 824, 2777, 10130, 269, 2201, 519, 824, 1688, 267, 596, 1616, 547, 581, 811, 18762, 609, 7178, 543, 5045, 6849, 9486, 269, 7994, 513, 1494, 835, 610, 1079, 7306, 3677, 982, 922, 1699, 835, 269, 901, 786, 1450, 707, 2030, 547, 1445, 593, 4195, 2208, 269, 12813, 19611, 595, 22664, 30263, 4916, 269, 898, 814, 1360, 2110, 11710, 602, 7703, 513, 1906, 10770, 21828, 3039, 3762, 609, 5863, 3270, 602, 18613, 6263, 19821, 923, 267, 8754, 519, 2012, 540, 519, 2030, 269, 2836, 7752, 320, 814, 513, 4356, 540, 24208, 909, 741, 3762, 1282, 519, 3781, 267, 513, 7613, 1572, 562, 344, 551, 514, 7360, 269, 1411, 666, 849, 5134, 519, 2030, 5781, 547, 4894, 891, 11641, 28383, 269, 2107, 596, 666, 5134, 519, 2030, 3762, 1169, 824, 1554, 547, 3289, 3433, 873, 543, 2061, 1225, 1782, 269, 17848, 6498, 568, 519, 1655, 1259, 547, 29608, 2836, 7752, 320, 4053, 320, 3821, 269, 2836, 7752, 320, 568, 513, 15999, 2030, 5065, 547, 3162, 3013, 269, 1809, 607, 513, 1895, 267, 789, 666, 269, 2836, 7752, 320, 1660, 320, 3821, 2836, 7752, 320, 2048, 15187, 1740, 685, 22307, 4934, 269, 2836, 7752, 320, 4053, 320, 3821, 2115, 811, 14450, 538, 5614, 543, 4832, 1282, 519, 7887, 1974, 540, 3395, 543, 1447, 7928, 14450, 538, 519, 21617, 3275, 267, 3735, 2887, 543, 5162, 269, 15585, 1154, 5072, 1860, 519, 2836, 7752, 320, 779, 2208, 267, 4611, 538, 5835, 532, 3762, 267, 6960, 6978, 4388, 267, 543, 22638, 2030, 2669, 269, 2422, 519, 546, 3402, 543, 3819, 1505, 547, 1216, 2836, 7752, 320, 3060, 2371, 269, 29615, 12930, 1769, 568, 4105, 585, 519, 2030, 547, 1832, 922, 6505, 16714, 543, 6946, 24463, 3270, 269, 1879, 621, 2501, 547, 11195, 267, 707, 1608, 7752, 320, 1660, 320, 3821, 1281, 1655, 950, 3448, 11195, 568, 6854, 693, 476, 2004, 260, 610, 2362, 269, 2836, 7752, 320, 1660, 320, 3821, 568, 849, 513, 1826, 540, 9341, 15496, 2030, 269, 667, 559, 1393, 519, 5277, 13226, 547, 3368, 4222, 543, 4019, 1310, 14450, 707, 2030, 269, 4935, 267, 1118, 519, 16369, 269, 901, 2636, 621, 547, 7753, 1022, 8710, 689, 519, 3001, 5488, 269, 11408, 29608, 3060, 2371, 538, 5614, 543, 2057, 14124, 1022, 540, 519, 3119, 5072, 547, 2061, 2030, 3441, 269, 2659, 4757, 2232, 786, 711, 581, 3370, 269, 2836, 7752, 320, 4053, 320, 3821, 29263, 16280, 609, 519, 2953, 1416, 269, 2836, 7752, 320, 1660, 320, 3821, 630, 6339, 1740, 2030, 264, 568, 4857, 676, 922, 16560, 24463, 6438, 6978, 3270, 269, 7490, 1224, 713, 2376, 593, 875, 547, 1205, 7759, 540, 2030, 12961, 547, 1265, 856, 875, 547, 6146, 824, 2010, 540, 2777, 8690, 10860, 269, 2836, 7752, 320, 4053, 320, 3821, 269, 1403, 519, 1283, 476, 272, 547, 476, 273, 6279, 540, 3037, 568, 3819, 610, 827, 547, 1205, 3819, 267, 621, 568, 942, 547, 1216, 269, 769, 1840, 547, 519, 2916, 267, 4411, 23222, 8240, 267, 31830, 338, 540, 2842, 543, 31585, 616, 3983, 585, 519, 2030, 269, 13689, 593, 707, 1753, 1604, 267, 713, 1223, 1611, 14450, 707, 1608, 7752, 320, 2030, 1169, 1906, 2395, 267, 2899, 513, 3018, 610, 2899, 1169, 824, 3018, 9789, 1034, 1271, 4341, 540, 14853, 568, 547, 2760, 1577, 519, 3037, 3819, 856, 269, 4400, 11195, 256, 634, 5354, 540, 2836, 7752, 320, 2371, 798, 711, 8768, 2560, 5272, 942, 596, 1065, 582, 621, 267, 621, 786, 1995, 930, 1826, 540, 2566, 689, 519, 4483, 269, 1411, 1616, 547, 1491, 513, 1413, 693, 519, 2030, 543, 2119, 547, 1294, 1141, 972, 616, 22534, 602, 616, 3395, 269, 5269, 2386, 547, 32561, 519, 9570, 676, 476, 2004, 10065, 4530, 621, 269, 11759, 2836, 7752, 320, 5013, 269, 28814, 543, 3676, 269, 11408, 2638, 602, 519, 3037, 568, 13148, 3819, 1354, 4758, 873, 513, 9488, 14450, 269, 634, 3037, 786, 11338, 3138, 4923, 513, 3787, 607, 519, 5072, 2119, 547, 4228, 269, 5502, 267, 1577, 7148, 1216, 3251, 856, 693, 4055, 2837, 16074, 269, 5502, 267, 596, 3580, 1616, 547, 16013, 1394, 1022, 12955, 267, 23209, 1819, 610, 30428, 3762, 269, 898, 779, 849, 4105, 547, 1747, 2836, 7752, 320, 17428, 2476, 689, 31585, 267, 10237, 2209, 267, 610, 3636, 2011, 642, 757, 269, 901, 2030, 2115, 547, 1847, 909, 538, 1494, 2450, 609, 930, 1007, 3037, 543, 513, 15018, 1974, 269, 1717, 267, 1932, 1454, 7943, 267, 3665, 5210, 267, 31585, 267, 543, 9422, 3037, 19518, 666, 782, 1291, 547, 5835, 2836, 7752, 320, 3762, 269, 9255, 621, 12341, 621, 666, 1205, 6505, 267, 9940, 1769, 269, 2836, 7752, 320, 1660, 320, 3821, 3060, 2371, 1376, 27315, 1154, 950, 789, 3668, 1216, 269, 3683, 942, 267, 519, 17953, 344, 3039, 543, 5835, 3060, 2030, 3762, 1020, 6960, 267, 5743, 6853, 8728, 269, 769, 1880, 267, 789, 786, 1847, 547, 7404, 2371, 543, 669, 20234, 593, 16714, 607, 1134, 269, 5637, 2042, 666, 581, 22621, 676, 14577, 519, 2837, 538, 519, 2030, 779, 1604, 269, 634, 1101, 4191, 540, 17178, 21746, 616, 1507, 22204, 540, 5386, 3623, 5652, 16060, 593, 3762, 269, 4033, 8677, 540, 2836, 7752, 320, 1331, 2836, 7752, 320, 11497, 604, 16288, 267, 8930, 560, 686, 701, 2836, 7752, 320, 630, 9773, 7752, 320, 15022, 1092, 1070, 543, 519, 890, 659, 1442, 2030, 630, 9773, 7752, 320, 544, 752, 1195, 3570, 1040, 2334, 1767, 267, 519, 1655, 6753, 547, 2322, 621, 616, 2282, 5087, 610, 7532, 6849, 9486, 269, 1215, 547, 1416, 585, 707, 2836, 7752, 320, 282, 5871, 12983, 585, 707, 2836, 7752, 320, 282, 1548, 781, 513, 2836, 7752, 320, 286, 5901, 519, 9341, 2777, 17852, 538, 9940, 7943, 547, 2061, 873, 689, 4742, 1932, 3636, 269, 476, 276, 268, 595, 269, 11497, 604, 16288, 269, 1703, 596, 786, 1265, 5140, 4388, 593, 16701, 21899, 555, 686, 1186, 267, 7231, 609, 803, 3315, 30471, 267, 543, 11318, 30293, 269, 1677, 798, 865, 269, 16473, 3597, 4232, 538, 782, 707, 2777, 17852, 676, 2921, 1416, 547, 1216, 873, 5265, 269, 1924, 798, 711, 1832, 621, 538, 4395, 540, 513, 22865, 267, 606, 2011, 14555, 5887, 267, 610, 513, 13451, 344, 6885, 269, 1656, 267, 596, 8910, 581, 2953, 269, 8347, 547, 2150, 4120, 519, 5072, 543, 9900, 543, 1413, 585, 6960, 267, 1660, 1506, 5072, 1107, 16013, 607, 2556, 269, 631, 12371, 568, 21066, 30574, 922, 3762, 543, 519, 4478, 2011, 609, 4055, 2837, 1216, 269, 1411, 949, 1747, 621, 538, 707, 19880, 267, 952, 621, 568, 6505, 269, 1924, 267, 621, 568, 1031, 547, 546, 1952, 1194, 1769, 269, 5901, 2476, 689, 1463, 7943, 269, 1677, 2061, 811, 3762, 689, 7432, 6960, 267, 5134, 519, 3762, 5781, 543, 2327, 519, 2030, 3884, 1406, 2282, 513, 3002, 5887, 610, 10237, 1807, 269, 901, 2636, 621, 547, 3533, 9156, 543, 1376, 1007, 2208, 269, 2836, 7752, 320, 1660, 320, 3821, 2115, 14450, 607, 1419, 607, 519, 1283, 476, 272, 892, 630, 273, 269, 276, 4699, 264, 540, 3037, 1743, 625, 856, 269, 1924, 267, 1118, 2386, 596, 2461, 1739, 519, 1655, 2777, 8690, 14450, 4388, 547, 1832, 519, 29238, 3037, 5848, 855, 711, 15459, 269, 5015, 267, 26540, 267, 6992, 1242, 538, 741, 2067, 1604, 676, 23832, 18346, 267, 616, 1360, 4686, 16280, 269, 1656, 267, 1152, 798, 865, 1282, 922, 3395, 4005, 630, 338, 7428, 543, 4832, 1070, 674, 23459, 6500, 267, 899, 1216, 267, 568, 1945, 596, 798, 711, 1616, 547, 936, 4777, 269, 634, 7887, 2601, 585, 1065, 31857, 568, 707, 2030, 814, 856, 326, 3497, 922, 1699, 8708, 269, 5463, 476, 2641, 267, 476, 1708, 271, 910, 2836, 7752, 320, 2030, 5961, 543, 875, 547, 1332, 1416, 4388, 585, 2836, 7752, 320, 2371, 269, 1411, 666, 1747, 519, 2836, 7752, 320, 2030, 1494, 593, 513, 26745, 540, 890, 6277, 956, 543, 1216, 547, 1711, 513, 18519, 3395, 1604, 269, 901, 568, 513, 1863, 543, 2067, 2707, 1510, 1022, 6464, 269, 1717, 267, 952, 519, 1283, 4494, 540, 3037, 7959, 521, 690, 4445, 267, 936, 22476, 707, 2030, 1223, 723, 3361, 519, 3762, 547, 1225, 331, 269, 6145, 1082, 2836, 7752, 320, 2249, 267, 519, 2836, 7752, 320, 1660, 320, 3821, 568, 513, 804, 2794, 268, 14127, 2030, 269, 898, 849, 13071, 621, 1332, 3533, 1317, 540, 519, 3773, 2230 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6293, 267, 621, 4465, 1405, 4755, 16074, 269, 1809, 6529, 609, 621, 267, 543, 4166, 596, 3513, 1265, 602, 596, 2811, 1732, 9280, 547, 6023, 8726, 2501, 707, 1259, 269, 8414, 1565, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21202, 2635, 6197, 568, 782, 827, 2921, 1416, 540, 707, 1560, 543, 2247, 269, 898, 3322, 1818, 2318, 5079, 602, 666, 2087, 707, 2949, 1134, 5630, 543, 948, 596, 2661, 513, 3476, 267, 18668, 1272, 269, 901, 3102, 3391, 786, 7866, 519, 1883, 2609, 540, 513, 2635, 6197, 267, 689, 2834, 3635, 543, 513, 7059, 2732, 547, 2566, 2359, 543, 1434, 3207, 6208, 269, 1635, 1739, 891, 2241, 4388, 267, 596, 666, 3035, 6099, 1072, 543, 2972, 513, 2362, 2298, 540, 1272, 269, 1924, 267, 1577, 779, 4685, 538, 543, 3605, 519, 11580, 547, 513, 2635, 6197, 2336, 1432, 568, 513, 13245, 27999, 888, 14240, 543, 11957, 454, 288, 2635, 6197, 4016, 547, 513, 1305, 540, 6208, 543, 5615, 602, 3895, 2168, 267, 2790, 267, 543, 3929, 1134, 5630, 269, 898, 3322, 12561, 513, 11455, 1935, 547, 1072, 602, 13315, 1585, 3344, 540, 1272, 267, 1519, 2732, 267, 3635, 267, 3207, 267, 2566, 2359, 267, 543, 1514, 4296, 563, 763, 2956, 540, 513, 2635, 6197, 3112, 581, 936, 26061, 269, 22685, 1154, 2635, 6208, 666, 948, 2061, 5312, 3676, 267, 2087, 2949, 1072, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 10387, 10899, 19938, 257, 607, 851, 540, 834, 306, 23852, 29803, 1315, 8682, 5336, 534, 1771, 1315, 4937, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 6092, 5149, 281, 18181, 910, 3465, 6326, 8836, 11595, 998, 23452, 31204, 692, 7072, 912, 15933, 814, 2141, 1044, 606, 7533, 851, 540, 2528, 543, 6561, 267, 7674, 607, 513, 1797, 540, 8497, 5389, 543, 8429, 873, 1524, 689, 5108, 547, 5108, 269, 1717, 267, 14051, 543, 22713, 723, 3366, 547, 519, 2530, 540, 1082, 2757, 10346, 543, 5986, 2553, 269, 901, 1576, 1770, 7710, 519, 2956, 540, 8497, 2686, 6561, 998, 4503, 10346, 543, 875, 713, 666, 581, 6913, 676, 25643, 267, 4687, 267, 543, 973, 11661, 891, 11477, 16782, 269, 1284, 786, 849, 4983, 519, 1909, 602, 1426, 4249, 538, 5935, 938, 9163, 543, 2950, 267, 607, 1134, 607, 922, 2702, 547, 3142, 1004, 1927, 2066, 4529, 543, 10665, 780, 296, 269, 11657, 532, 23452, 31204, 454, 288, 269, 11957, 540, 12319, 454, 291, 17805, 566, 540, 2757, 10346, 5849, 602, 789, 616, 12873, 585, 2104, 5481, 267, 3850, 721, 547, 2226, 513, 4276, 609, 938, 2250, 1247, 3246, 3407, 4030, 883, 938, 2686, 3961, 269, 1635, 10916, 5820, 267, 2409, 267, 543, 12583, 2404, 609, 1808, 8286, 267, 649, 1711, 513, 15889, 2594, 540, 938, 11477, 9371, 780, 289, 269, 22604, 547, 12319, 454, 2467, 616, 1585, 2081, 547, 3561, 4503, 10346, 267, 1519, 2854, 5638, 267, 8301, 543, 3381, 19827, 267, 543, 2228, 5867, 971, 607, 21075, 543, 1514, 2923, 269, 3962, 1935, 3091, 2189, 5383, 267, 8151, 689, 10333, 543, 8897, 540, 946, 547, 15325, 543, 1761, 3914, 269, 1879, 25643, 10346, 267, 621, 781, 1898, 547, 2015, 2188, 899, 6111, 267, 1264, 28467, 267, 2796, 267, 543, 3308, 6041, 780, 290, 269, 8865, 1353, 281, 634, 8828, 5253, 1811, 19137, 630, 306, 11902, 994, 2304, 5140, 1383, 540, 11600, 12319, 568, 519, 590, 11902, 267, 513, 18758, 3919, 6131, 547, 5312, 1782, 267, 14120, 267, 543, 5009, 519, 3309, 1426, 4529, 540, 519, 1977, 3162, 269, 3414, 5711, 12583, 267, 8874, 267, 2835, 267, 543, 2621, 267, 519, 590, 11902, 19306, 519, 9759, 540, 6237, 11951, 267, 4180, 602, 1256, 7106, 8960, 10346, 2661, 593, 538, 3965, 780, 2862, 269, 19457, 23452, 31204, 454, 288, 269, 11588, 540, 4687, 454, 4537, 2130, 4503, 10346, 11942, 4296, 1063, 2043, 267, 3885, 267, 543, 2950, 267, 8716, 3444, 14426, 5385, 543, 7071, 269, 5015, 267, 20392, 1866, 547, 14542, 10366, 267, 5820, 267, 543, 2553, 949, 8300, 1007, 13144, 543, 10124, 1369, 519, 11477, 1158, 780, 289, 269, 15107, 13257, 585, 4687, 454, 26452, 9055, 2291, 585, 4687, 4503, 10346, 267, 689, 3434, 9248, 543, 17476, 547, 7270, 267, 8924, 267, 543, 1514, 2923, 5121, 269, 1452, 5867, 5512, 3755, 547, 3605, 267, 8190, 267, 543, 2671, 2757, 8286, 609, 513, 6626, 5304, 267, 7551, 2810, 15287, 543, 4656, 540, 2686, 6561, 780, 7656, 269, 4860, 1516, 23452, 31204, 454, 288, 269, 12694, 540, 25954, 454, 3725, 341, 1516, 4503, 10346, 1419, 6799, 9465, 1813, 547, 7508, 1344, 267, 28998, 5820, 267, 610, 22573, 7041, 2409, 269, 769, 930, 2665, 267, 3140, 1382, 543, 17634, 949, 581, 2556, 547, 8308, 18949, 513, 8670, 780, 289, 269, 21988, 2847, 11040, 454, 8601, 2591, 267, 1896, 3811, 2847, 11040, 6542, 519, 1379, 540, 16177, 543, 11428, 269, 1280, 3236, 267, 27697, 1530, 534, 7935, 1188, 28020, 759, 584, 5550, 539, 25752, 5979, 558, 7031, 899, 10491, 7108, 7573, 543, 7256, 6816, 10412, 23092, 547, 21613, 840, 11897, 12009, 7013, 25411, 1255, 899, 14929, 11017, 262, 3627, 543, 1649, 928, 530, 2378, 619, 269, 6684, 267, 3906, 899, 20405, 5253, 4139, 8362, 3895, 3785, 6322, 693, 9494, 13155, 3536, 543, 2757, 2504, 2853, 780, 4353, 269, 9752, 543, 4804, 689, 23452, 31204, 454, 288, 269, 12409, 3255, 454, 299, 739, 10346, 2709, 3638, 3872, 2833, 267, 3450, 1053, 827, 1686, 267, 11585, 267, 19795, 267, 543, 15257, 998, 519, 7828, 540, 1426, 269, 1358, 1683, 5813, 883, 9194, 3270, 267, 4123, 11507, 267, 14227, 2175, 267, 3909, 4978, 267, 543, 1920, 6384, 780, 289, 269, 23889, 4503, 10346, 883, 21195, 454, 28885, 4503, 10346, 883, 1153, 21195, 8992, 2565, 3206, 1983, 267, 5876, 267, 543, 15834, 1565, 269, 4841, 945, 4497, 609, 2757, 8286, 2744, 3946, 6823, 1995, 8600, 6980, 1210, 2199, 5820, 267, 3384, 1966, 9010, 5759, 267, 543, 23712, 609, 9905, 269, 3958, 267, 3506, 666, 6536, 12352, 609, 2146, 22242, 267, 6705, 267, 22730, 267, 543, 12206, 547, 10802, 3992, 4566, 543, 1921, 1053, 609, 4966, 538, 519, 2361, 780, 309, 269, 8892, 19648, 281, 5303, 543, 16743, 454, 288, 269, 25895, 7760, 454, 28770, 3101, 4066, 899, 5841, 4987, 267, 5691, 4641, 267, 543, 9893, 3180, 9153, 585, 7393, 519, 11091, 267, 12319, 267, 543, 23425, 540, 4503, 10346, 269, 3642, 6620, 666, 5659, 4540, 1239, 5036, 547, 2697, 3270, 543, 2303, 4244, 12146, 10659, 282, 15283, 13502, 1450, 3755, 547, 23365, 2933, 538, 4914, 6539, 29353, 1510, 6028, 1753, 282, 543, 9893, 2029, 5849, 5150, 267, 12001, 9477, 540, 8810, 766, 543, 13597, 780, 289, 269, 26943, 2435, 5647, 454, 3528, 5373, 6667, 689, 4503, 10346, 267, 4207, 22730, 3136, 11319, 6302, 267, 16471, 2025, 8996, 7326, 609, 2413, 2553, 547, 3132, 5499, 8286, 602, 8956, 2245, 1247, 8508, 1689, 269, 18964, 713, 3860, 12760, 7512, 5188, 1063, 2250, 543, 1459, 267, 14637, 2463, 585, 2686, 6561, 1247, 16779, 2104, 5481, 547, 3337, 741, 1378, 11477, 6386, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 9349, 700, 1478, 8249, 267, 31876, 585, 19536, 543, 23255, 454, 347, 12709, 1315, 5769, 454, 8368, 540, 12937, 454, 763, 1715, 4964, 454, 4343, 5682, 9335, 267, 1715, 3840, 267, 12924, 476, 1911, 1724, 454, 14444, 6812, 275, 279, 1556, 311, 1269, 2190, 269, 4817, 476, 272, 268, 8517, 268, 22001, 268, 4366, 274, 271, 454, 6124, 3840, 4975, 3454, 328, 10256, 960, 1279, 10593, 267, 5722, 2395, 513, 3018, 281, 1034, 616, 25755, 10256, 593, 513, 3232, 610, 12353, 4579, 543, 2394, 519, 5266, 2487, 12525, 328, 20709, 19137, 729, 4646, 267, 1034, 16004, 519, 20015, 660, 540, 3983, 1870, 269, 12525, 328, 256, 2501, 689, 4437, 9857, 4223, 515, 342, 267, 513, 1279, 6066, 28013, 540, 519, 19137, 267, 543, 3096, 4205, 689, 519, 10256, 2933, 547, 7866, 519, 1686, 540, 519, 3454, 328, 1870, 269, 30667, 1445, 593, 4074, 9620, 543, 4683, 6214, 538, 1715, 3840, 607, 1454, 607, 593, 19366, 1686, 543, 7506, 593, 519, 3454, 328, 2872, 607, 513, 2898, 563, 289, 5090, 2471, 2334, 932, 6548, 634, 2622, 454, 12010, 16340, 3118, 267, 1715, 3840, 267, 12924, 476, 1911, 6734, 454, 4391, 280, 15836, 6110, 311, 1269, 866, 269, 4817, 8940, 269, 2181, 560, 601, 2593, 454, 7021, 15823, 4583, 13123, 543, 741, 2984, 616, 10356, 538, 513, 5619, 799, 786, 9029, 547, 513, 2484, 9962, 5304, 982, 519, 8912, 20614, 8115, 1433, 269, 3371, 568, 513, 17598, 11100, 540, 11495, 6337, 543, 512, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 2910, 19170, 1315, 10749, 1299, 15881, 2510, 1315, 23452, 31204, 543, 8836, 11595, 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, 4495, 2390, 513, 942, 538, 519, 28677, 4884, 540, 24622, 1889, 267, 972, 729, 513, 6131, 7025, 20229, 3957, 10793, 945, 5249, 24091, 547, 2333, 1857, 4656, 827, 10296, 2825, 2152, 269, 1261, 1185, 513, 2178, 24343, 538, 26302, 16399, 267, 606, 9565, 4137, 1634, 585, 1200, 7029, 547, 6940, 269, 1717, 267, 789, 5185, 4187, 689, 6004, 269, 31293, 267, 519, 8227, 540, 519, 2199, 12051, 267, 4171, 1870, 2853, 941, 2484, 689, 10357, 7888, 780, 3080, 1554, 267, 1247, 11504, 513, 10554, 593, 2825, 2069, 267, 10793, 1558, 15039, 267, 606, 25981, 4116, 11235, 547, 1118, 513, 3017, 538, 1200, 1053, 262, 2729, 269, 1358, 22121, 2093, 593, 875, 1655, 547, 4497, 1762, 8186, 538, 1620, 543, 5466, 2565, 8733, 4145, 269, 901, 7237, 17275, 513, 13085, 2856, 910, 1946, 711, 10891, 513, 10319, 1788, 1063, 519, 1153, 543, 2749, 10689, 2496, 12988, 538, 24622, 1889, 267, 10793, 6069, 1010, 1544, 547, 26302, 16399, 267, 11021, 602, 1927, 789, 1223, 10131, 834, 292, 1723, 2782, 19144, 2437, 513, 4745, 11036, 6322, 693, 16779, 1053, 899, 1346, 6026, 676, 15039, 547, 1831, 8069, 540, 1689, 1369, 741, 1378, 2950, 269, 19196, 1243, 676, 519, 11556, 267, 519, 25650, 8815, 267, 7487, 621, 607, 606, 4316, 547, 6536, 18523, 5539, 1851, 519, 6107, 543, 1128, 650, 1898, 2418, 971, 607, 6568, 267, 7881, 267, 543, 1966, 9010, 1983, 780, 19602, 267, 6004, 269, 31293, 4607, 2262, 540, 713, 1007, 20089, 543, 8057, 7255, 269, 3571, 12051, 1185, 1279, 1044, 519, 3119, 2707, 540, 5533, 538, 24622, 1889, 267, 7700, 3648, 547, 922, 2825, 530, 3996, 269, 10318, 1441, 547, 2149, 1010, 4690, 267, 646, 4956, 547, 26453, 582, 720, 519, 19889, 2782, 19144, 1788, 676, 10825, 25749, 827, 9657, 543, 1648, 5726, 2409, 780, 2026, 3377, 540, 519, 5698, 3262, 2429, 4884, 267, 3237, 6829, 6404, 6547, 269, 2368, 20888, 519, 4960, 585, 741, 1453, 547, 1451, 811, 827, 7863, 519, 1604, 282, 1866, 14126, 827, 1761, 1394, 31988, 689, 3532, 5515, 899, 6004, 269, 31293, 269, 6736, 891, 31536, 687, 267, 1082, 3885, 9896, 909, 585, 519, 1982, 267, 11235, 547, 1294, 1018, 2318, 2242, 1522, 8451, 780, 299, 1176, 3459, 6220, 2825, 3584, 883, 1200, 3992, 4566, 267, 3450, 1200, 1053, 827, 7791, 2200, 267, 24600, 267, 543, 4227, 5068, 6165, 269, 11531, 267, 10793, 6896, 11925, 585, 3237, 543, 2146, 2818, 267, 8720, 5396, 971, 607, 3608, 3653, 12871, 267, 1216, 5726, 2553, 267, 543, 4264, 2713, 2853, 780, 1103, 3210, 547, 6004, 269, 31293, 262, 771, 15574, 5859, 267, 10793, 543, 15039, 2319, 539, 909, 547, 1711, 21141, 2326, 3181, 6064, 532, 519, 7301, 6811, 543, 5009, 4977, 1239, 269, 20331, 609, 5013, 543, 23185, 676, 6612, 267, 789, 7856, 8038, 619, 267, 18799, 1357, 21577, 267, 543, 1256, 4371, 1930, 15473, 1141, 7255, 4961, 1223, 5639, 741, 2055, 543, 4145, 2047, 780, 9802, 528, 16399, 23217, 6462, 519, 5918, 334, 267, 1210, 1200, 3760, 547, 23596, 519, 19889, 2782, 19144, 1788, 543, 8716, 782, 7264, 547, 7119, 8362, 269, 3414, 1200, 3646, 267, 1352, 12479, 547, 6542, 602, 5683, 5718, 666, 1291, 547, 6209, 3356, 2509, 513, 22928, 2104, 780, 8601, 3355, 22303, 3361, 676, 6004, 269, 31293, 262, 13779, 267, 519, 19889, 2782, 19144, 1788, 9863, 3811, 3564, 4896, 781, 6788, 269, 19198, 4080, 18476, 20214, 538, 7622, 3653, 543, 10626, 12014, 267, 1247, 1053, 4951, 6825, 6454, 538, 741, 1702, 540, 2825, 2152, 269, 5047, 267, 1896, 4213, 4553, 9290, 676, 12561, 10357, 7888, 4507, 267, 6273, 676, 519, 7104, 2962, 3144, 676, 741, 5561, 543, 12543, 7567, 780, 4913, 267, 6004, 269, 31293, 7283, 796, 344, 1752, 532, 269, 7464, 1944, 602, 30739, 11685, 1131, 1152, 2417, 27647, 1125, 1489, 585, 519, 3350, 267, 646, 25282, 513, 1007, 4640, 1107, 905, 793, 532, 1719, 538, 2469, 3039, 5128, 269, 769, 3257, 865, 267, 646, 8179, 547, 24183, 519, 17258, 540, 10793, 267, 15039, 267, 543, 519, 3003, 19889, 2782, 19144, 1788, 780, 3719, 519, 14388, 6292, 4718, 998, 1010, 678, 2224, 5612, 269, 25613, 2678, 1042, 267, 789, 4797, 741, 5692, 267, 5462, 547, 16616, 519, 5168, 3297, 6004, 269, 31293, 262, 6727, 7503, 269, 1635, 2324, 5702, 1927, 543, 16107, 741, 9757, 6791, 267, 789, 6534, 519, 29927, 538, 1010, 9241, 7550, 968, 13582, 892, 18879, 267, 13031, 621, 607, 4986, 811, 982, 513, 13719, 3801, 693, 1582, 25535, 3569, 780, 27407, 267, 6004, 269, 31293, 262, 26760, 6039, 1152, 547, 7794, 519, 8207, 540, 519, 1004, 540, 24622, 1889, 269, 21150, 1245, 2989, 676, 741, 18454, 3976, 2484, 267, 789, 20399, 593, 1189, 267, 8149, 547, 8066, 1864, 18177, 585, 1010, 3542, 5737, 2081, 269, 1656, 1498, 2591, 1869, 2482, 6619, 267, 519, 6891, 540, 9316, 1266, 25311, 676 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4883, 1299, 26636, 523, 7577, 267, 5549, 1421, 476, 3422, 274, 780, 310, 718, 529, 267, 654, 269, 667, 269, 589, 10670, 1676, 781, 6651, 547, 8641, 7869, 269, 11785, 281, 21960, 16223, 7564, 12528, 267, 476, 1220, 271, 780, 9773, 323, 6202, 267, 18281, 269, 834, 20877, 7869, 3794, 27443, 1701, 8641, 7869, 3794, 27443, 269, 476, 866, 4873, 476, 1001, 273, 2999, 10674, 2517, 1440, 1307, 269, 583, 332, 12975, 11305, 22080, 1532, 514, 270, 5632, 323, 6202, 14121, 12460, 17320, 1429, 270, 6921, 27443, 11258, 285, 780, 257, 305, 600, 8124, 781, 11532, 1701, 9504, 269, 476, 1240, 4873, 476, 1001, 273, 269, 476, 866, 4873, 476, 1001, 273, 2999, 10674, 2517, 523, 25769, 3820, 28293, 24250, 600, 8124, 260, 2767, 338, 318, 1492, 648, 332, 258, 15761, 5014, 15058, 318, 1492, 318, 1492, 648, 332, 285, 780, 2171, 529, 7322, 267, 18238, 654, 269, 834, 305, 600, 8124, 7089, 1701, 4569, 13328, 734, 288, 16423, 1090, 5680, 12754, 269, 476, 866, 4873, 476, 1001, 273, 2999, 10674, 2517, 4118, 16447, 9884, 6504, 1090, 2593, 24250, 600, 8124, 10831, 11258, 20101, 0, 12218, 673, 8212, 17738, 382, 370, 692, 2252, 596, 2811, 3478, 930, 4411, 3952, 547, 7914, 538, 547, 5262, 292, 336, 2244, 267, 1934, 616, 930, 1688, 8154, 539, 11186, 4834, 9910, 2042, 547, 3180, 707, 1688, 2059, 519, 4098, 540, 707, 3460, 780, 5575, 1931, 5276, 744, 14701, 382, 370, 692, 2330, 325, 6025, 267, 340, 264, 815, 1422, 2765, 346, 706, 2410, 19049, 15732, 763, 15571, 5562, 9178, 1966, 568, 519, 1101, 1931, 5276, 744, 14701, 1966, 540, 606, 12825, 609, 513, 2942, 11664, 267, 799, 4564, 519, 3368, 3734, 540, 519, 1184, 538, 2243, 269, 9701, 519, 11664, 581, 2318, 267, 713, 1131, 2099, 513, 2551, 2208, 3830, 780, 1103, 1109, 314, 272, 14158, 6748, 18103, 2435, 11795, 292, 336, 267, 1773, 1824, 454, 23950, 10797, 258, 295, 2788, 3734, 540, 12539, 268, 1691, 568, 476, 276, 267, 278, 1789, 1296, 563, 290, 8975, 479, 815, 476, 276, 269, 278, 1789, 692, 258, 13729, 1575, 454, 340, 8975, 478, 815, 476, 272, 269, 271, 454, 1206, 3966, 815, 630, 271, 269, 271, 267, 476, 272, 269, 271, 2020, 258, 31711, 519, 1966, 692, 258, 27879, 547, 24626, 454, 338, 565, 815, 4194, 263, 22238, 267, 25629, 527, 276, 31156, 258, 5522, 582, 454, 7120, 4433, 565, 267, 1467, 12296, 284, 273, 25722, 1856, 815, 257, 27793, 268, 1691, 3368, 3734, 2580, 1535, 9471, 815, 834, 11742, 538, 5215, 540, 1296, 2580, 586, 9471, 815, 834, 8110, 1417, 720, 2451, 2580, 6003, 815, 834, 301, 10179, 673, 8827, 5602, 7120, 256, 263, 338, 565, 6745, 267, 512, 15010, 10339, 8987, 290, 8975, 479, 265, 339, 1070, 331, 342, 284, 274, 267, 3149, 284, 281, 323, 1662, 267, 16932, 6889, 22860, 3749, 8827, 15419, 11073, 314, 272, 28660, 26594, 623, 754, 4918, 382, 370, 692, 13553, 11352, 12430, 744, 14701, 382, 370, 692, 2171, 786, 1376, 676, 6061, 519, 28764, 1966, 269, 769, 519, 6323, 1362, 267, 649, 1419, 4194, 713, 1966, 676, 1507, 5086, 19406, 267, 1775, 4318, 269, 1269, 7562, 7268, 9064, 264, 1422, 13627, 1422, 9064, 8961, 1317, 6382, 267, 649, 1205, 606, 14248, 328, 10364, 7533, 799, 3085, 1405, 723, 606, 25107, 3070, 269, 634, 5276, 1242, 1106, 568, 692, 11377, 9536, 582, 3189, 9064, 348, 1341, 1422, 2765, 346, 326, 2410, 299, 7346, 9064, 348, 815, 476, 271, 9681, 3719, 649, 723, 10230, 744, 14701, 1151, 951, 256, 4208, 711, 4194, 519, 1483, 28764, 2496, 11377, 9536, 582, 3189, 9064, 348, 1341, 1422, 2765, 346, 326, 2410, 299, 7346, 7562, 7268, 9064, 14587, 815, 476, 271, 9681, 1103, 1109, 314, 273, 14158, 258, 11822, 623, 754, 4918, 9046, 454, 6748, 18103, 2435, 11795, 292, 336, 267, 1773, 1824, 692, 258, 17746, 1218, 454, 6247, 575, 815, 476, 280, 269, 10037, 454, 299, 815, 476, 272, 269, 271, 692, 258, 22873, 658, 17148, 454, 340, 8975, 478, 815, 1496, 271, 267, 11027, 270, 273, 2639, 1206, 3966, 815, 630, 271, 269, 271, 267, 277, 269, 274, 2020, 258, 31711, 519, 1966, 454, 10818, 2241, 12323, 4918, 263, 706, 267, 340, 28872, 25722, 994, 15184, 476, 815, 579, 314, 272, 2639, 323, 15184, 815, 579, 314, 273, 2639, 706, 314, 272, 316, 815, 546, 15184, 454, 706, 314, 273, 316, 815, 910, 263, 326, 13624, 12684, 7562, 263, 15184, 994, 754, 692, 258, 27879, 547, 1151, 951, 454, 22238, 815, 744, 14701, 19370, 4433, 574, 921, 12323, 4918, 267, 340, 8975, 478, 267, 512, 31078, 994, 338, 565, 815, 4194, 263, 22238, 267, 25629, 527, 276, 31156, 258, 5522, 582, 454, 7120, 4433, 565, 267, 1467, 12296, 284, 273, 25722, 1856, 815, 257, 26594, 623, 754, 4918, 9046, 2580, 1535, 9471, 815, 834, 11742, 2580, 586, 9471, 815, 834, 3891, 697, 2580, 6003, 815, 22373, 763, 3279, 14824, 323, 763, 3279, 19312, 2020, 11073, 314, 273, 28660, 3383, 1631, 649, 917, 602, 7180, 540, 519, 2990, 8957, 942, 269, 1717, 267, 621, 786, 581, 3730, 547, 721, 547, 1413, 693, 519, 5123, 2230, 540, 519, 28764, 267, 1775, 4318, 1421, 543, 6041, 540, 782, 2009, 2829, 540, 519, 1062, 538, 2243, 630, 1492, 28764, 264, 676, 3168, 693, 922, 6991, 543, 2990, 269, 18001, 2230, 2079, 568, 24819, 538, 519, 2079, 540, 3846, 673, 1949, 267, 543, 3976, 649, 786, 1683, 513, 1906, 6703, 585, 621, 780, 1103, 1109, 314, 274, 14158, 335, 815, 4729, 4433, 565, 267, 341, 1513, 815, 630, 272, 267, 273, 1070, 1535, 32093, 815, 11196, 280, 267, 280, 1070, 2140, 815, 834, 4942, 848, 6611, 18140, 2580, 1535, 9471, 815, 834, 309, 601, 6290, 2580, 586, 9471, 815, 834, 303, 3789, 2580, 1850, 284, 32401, 994, 10818, 5123, 318, 7120, 263, 22238, 267, 579, 271, 267, 533, 267, 512, 31078, 284, 273, 7032, 994, 318, 22238, 815, 744, 14701, 19370, 263, 22238, 8807, 267, 340, 271, 267, 263, 271, 269, 271, 267, 1206, 3966, 4917, 338, 565, 815, 4194, 263, 318, 22238, 267, 309, 1716, 280, 28829, 1948, 2422, 31996, 280, 24626, 585, 2362, 6111, 454, 7120, 256, 263, 335, 29679, 565, 267, 341, 1513, 815, 630, 272, 267, 273, 1070, 1535, 32093, 815, 4986, 267, 586, 32093, 815, 4986, 994, 754, 454, 1721, 1775, 538, 910, 275, 7032, 281, 7032, 270, 273, 281, 275, 11027, 454, 1721, 795, 538, 910, 275, 7032, 281, 7032, 270, 273, 281, 275, 11027, 454, 874, 848, 318, 7120, 263, 22238, 267, 1496, 329, 267, 328, 3910, 533, 994, 754, 454, 754, 454, 7120, 9638, 21726, 32093, 815, 11196, 280, 267, 280, 11723, 11073, 314, 274, 13912, 0, 258, 16387, 692, 14006, 539, 676, 16317, 4002, 519, 4336, 5373, 540, 513, 6989, 1544, 476, 273, 6279, 284, 476, 276, 10264, 269, 589, 4055, 568, 476, 278, 6279, 1279, 593, 519, 4336, 5373, 269, 4855, 519, 4890, 3259, 540, 519, 4055, 780, 1892, 16387, 910, 692, 273, 1315, 476, 276, 815, 476, 278, 1315, 1535, 25092, 1312, 5011, 676, 1535, 692, 273, 1535, 1315, 476, 276, 815, 476, 278, 25092, 1312, 5011, 676, 476, 276, 692, 273, 1535, 815, 476, 278, 2608, 476, 276, 692, 273, 1535, 815, 476, 3374, 19147, 1312, 5011, 676, 476, 273, 692, 343, 815, 476, 3374, 1315, 476, 273, 692, 343, 815, 476, 1704, 269, 276, 10264, 692, 1012, 5381, 5999, 692, 272, 269, 12693, 7223, 692, 29173, 5373, 540, 513, 14328, 4055, 814, 513, 3259, 540, 476, 1240, 6279, 543, 513, 8700, 540, 476, 1321, 6279, 269, 952, 519, 4336, 585, 519, 5373, 568, 476, 272, 10759, 815, 2641, 270, 273, 3952, 267, 1018, 568, 519, 7989, 2678, 540, 519, 4890, 4055, 454, 273, 269, 12693, 2979, 692, 651, 9109, 16668, 513, 4336, 5373, 540, 1010, 2713, 4055, 267, 763, 4890, 4055, 568, 476, 1626, 3952, 1279, 28560, 519, 4055, 568, 476, 1321, 6279, 1279, 538, 519, 5373, 267, 6343, 568, 519, 4336, 540, 519, 5373, 888, 274, 269, 12693, 2979, 692, 17954, 1777, 1500, 513, 4336, 5373, 540, 513, 14328, 4055, 538, 1010, 2777, 269, 634, 4890, 3259, 540, 519, 4055, 568, 476, 1321, 476, 275, 270, 276, 10264, 269, 634, 4336, 1031, 547, 1118, 519, 5373, 729, 476, 272, 270, 275, 538, 269, 284, 272, 10264, 269, 1548, 568, 519, 3259, 267, 538, 6279, 267, 540, 519, 4055, 593, 519, 5373, 888, 275, 269, 12693, 4569, 6435, 256, 2439, 296, 723, 547, 798, 513, 4336, 5373, 269, 634, 4890, 1687, 584, 906, 540, 1250, 4055, 616, 476, 280, 10264, 476, 277, 10759, 265, 476, 1015, 10264, 269, 634, 4336, 602, 594, 993, 1210, 585, 1250, 4336, 5373, 568, 476, 2190, 6279, 284, 272, 10759, 269, 1548, 786, 519, 3897, 839, 976, 540, 1250, 4055, 581, 538, 1250, 521, 743, 2801, 5373, 888, 276, 269, 12693, 2979, 692, 3405, 807, 814, 513, 4336, 5373, 540, 1200, 23103, 865, 1352, 666, 1544, 1141, 547, 2322, 1200, 1007, 11647, 269, 634, 4336, 1031, 568, 476, 272, 10759, 284, 476, 274, 3952, 269, 634, 7516, 952, 1200, 4055, 593, 519, 4336, 5373, 616, 476, 275, 6279, 676, 476, 275, 269, 276, 6279, 269, 1548, 568, 519, 4890, 1858, 540, 1200, 4055, 888, 277, 269, 12693, 1775, 2731, 991, 948, 855, 21645, 917, 875, 547, 798, 621, 692, 307, 11336, 1500, 513, 4336, 5373, 540, 1010, 4055, 1210, 513, 4336, 540, 476, 271, 269, 1839, 10759, 815, 476, 272, 3723, 269, 2201, 519, 5373, 267, 519, 3259, 540, 1010, 4055, 568, 476, 274, 269, 1839, 6279, 543, 519, 8700, 568, 273, 269, 4037, 6279, 269, 1548, 568, 519, 1858, 540, 13177, 5889, 23717, 338, 4890, 4055, 888, 278, 269, 12693, 4569, 692, 1492, 3259, 540, 513, 3774, 538, 513, 6989, 1544, 568, 476, 277, 476, 272, 270, 273, 6279, 31677, 4890, 3774, 568, 476, 4281, 3952, 1279, 269, 1265, 519, 4336, 540, 519, 6989, 1544, 634, 4463, 540, 513, 2679, 568, 476, 274, 476, 274, 270, 279, 6279, 593, 513, 4336, 5373, 269, 4855, 519, 4890, 4463, 540, 519, 2679, 952, 519, 4336, 6693, 279, 269, 12693, 4569, 692, 515, 3259, 540, 513, 3774, 538, 513, 6989, 1544, 568, 476, 277, 476, 272, 270, 273, 6279, 31677, 4890, 3774, 568, 476, 4281, 3952, 1279, 269, 1265, 519, 4336, 540, 519, 6989, 1544, 634, 4463, 540, 513, 2679, 568, 476, 274, 476, 274, 270, 279, 6279, 593, 513, 4336, 5373, 269, 4855, 519, 4890, 4463, 540, 519, 2679, 952, 519, 4336, 6693, 280, 269, 12693, 16387, 692, 4002, 519, 4336, 5373, 540, 513, 6989, 267, 1544, 589, 4055, 568, 476, 278, 538, 269, 1279, 593, 519, 4336, 5373, 269, 4855, 519, 4890, 3259, 540, 519, 4055, 563, 1015, 269, 12693, 4569, 692, 1103, 513, 4336, 5373, 519, 3259, 540, 513, 14328, 4055, 568, 476, 277, 6279, 267, 543, 519, 8700, 568, 476, 274, 6279, 269, 634, 4890, 3259, 540, 519, 4055, 568, 476, 1240, 3952, 269, 1548, 568, 519, 4336, 540, 519, 5373, 2496, 5415, 5381, 5999, 0, 259, 343, 3867, 275, 15396, 272, 343, 3867, 273, 18511, 5655, 284, 271, 6911, 259, 4131, 589, 24210, 3867, 273, 10592, 259, 288, 317, 273, 266, 288, 268, 5655, 284, 271, 6911, 7445, 3847, 630, 589, 266, 278, 1422, 2431, 3738, 315, 3847, 630, 589, 268, 277, 1422, 2431, 3738, 284, 271, 6911, 259, 343, 3867, 273, 13157, 268, 278, 259, 1269, 343, 3867, 273, 13157, 277, 6911, 259, 343, 7807, 10975, 1422, 6912, 24877, 278, 348, 1535, 7807, 10975, 1422, 6912, 346, 277, 10592, 296, 991, 948, 594, 1810, 1405, 1589, 594, 1705, 713, 7157, 780, 2005, 781, 3592, 2953, 267, 1269, 343, 7807, 10975, 1422, 6912, 346, 277, 4151, 568, 513, 3070, 540, 519, 3830, 855, 596, 723, 547, 7947, 1269, 343, 7807, 10975, 1422, 6912, 24877, 278, 4151, 1317, 4399, 6912, 24877, 278, 4151, 568, 3768, 18249, 538, 4399, 13992, 23334, 31859, 20225, 26147, 7726, 912, 259, 343, 3867, 275, 15396, 277, 343, 3867, 273, 18511, 11011, 284, 271, 14204, 296, 1705, 519, 3169, 1482, 3364, 855, 8694, 909, 609, 454, 259, 263, 288, 266, 274, 8203, 273, 284, 1911, 14204, 259, 343, 317, 273, 15871, 274, 315, 10975, 1015, 6911, 23192, 17397, 676, 519, 331, 29141, 454, 20225, 26147, 7726, 912, 259, 343, 3867, 275, 15396, 277, 343, 3867, 273, 18511, 11011, 284, 271, 14204, 296, 1705, 519, 3169, 1482, 3364, 855, 8694, 909, 609, 454, 259, 263, 288, 266, 274, 8203, 273, 284, 1911 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 476, 271, 269, 2334, 568, 875, 2484, 786, 519, 15561, 2951, 1354, 15700, 519, 2666, 2496, 2690, 519, 2203, 1510, 2842, 4187, 267, 649, 666, 3113, 519, 1599, 3362, 2614, 269, 2913, 781, 7058, 519, 3845, 568, 1100, 811, 982, 476, 4335, 3952, 1384, 7120, 27203, 267, 476, 271, 267, 476, 4335, 9239, 11039, 267, 649, 10093, 1405, 1256, 2938, 519, 8445, 2943, 269, 14568, 547, 798, 513, 2370, 838, 1228, 960, 1101, 269, 901, 568, 513, 13392, 1599, 267, 865, 649, 666, 946, 5072, 689, 6641, 13695, 547, 1265, 519, 5072, 1384, 287, 341, 1513, 1535, 454, 23085, 27203, 3287, 11723, 291, 1112, 346, 12179, 267, 12179, 348, 609, 476, 273, 13366, 912, 271, 3546, 18092, 476, 272, 454, 10219, 271, 269, 1822, 1822, 1822, 876, 18092, 476, 272, 7531, 2171, 1294, 602, 1269, 10219, 271, 259, 568, 519, 4102, 3597, 269, 1924, 649, 4729, 936, 713, 6389, 547, 14650, 519, 8184, 1384, 7120, 27203, 267, 476, 271, 267, 476, 10219, 271, 9239, 2026, 585, 519, 2203, 609, 2842, 4187, 267, 513, 2656, 4729, 936, 519, 1482, 8884, 267, 1269, 314, 271, 267, 476, 10219, 271, 316, 259, 11729, 1384, 7120, 12169, 267, 476, 271, 267, 476, 10219, 271, 9239, 17764, 267, 834, 291, 558, 664, 18438, 1701, 2986, 1576, 267, 950, 519, 4661, 547, 519, 30233, 568, 2942, 649, 786, 723, 2152, 269, 1284, 1810, 1405, 723, 519, 16134, 540, 1210, 4874, 318, 23085, 547, 1265, 856, 519, 2626, 267, 865, 649, 4194, 585, 950, 1269, 320, 10559, 24472, 317, 273, 1535, 259, 568, 1269, 271, 259, 1384, 24472, 815, 476, 272, 454, 320, 815, 476, 1220, 2608, 5430, 263, 7032, 270, 275, 994, 321, 815, 513, 17320, 10397, 317, 273, 692, 15221, 269, 275, 2641, 32579, 26801, 29616, 276, 7531, 2171, 2119, 593, 519, 4389, 8884, 9319, 519, 6654, 29297, 1774, 693, 536, 676, 18946, 1269, 272, 259, 1384, 7120, 12169, 267, 476, 271, 267, 536, 910, 476, 272, 9239, 3086, 649, 666, 1294, 519, 4642, 568, 1472, 476, 9610, 269, 589, 2241, 31455, 786, 581, 1269, 314, 321, 270, 273, 267, 536, 268, 272, 316, 8961, 865, 649, 4342, 4194, 1384, 343, 272, 815, 1265, 318, 14706, 12169, 267, 630, 321, 270, 273, 267, 536, 268, 272, 270, 1015, 11723, 9610, 269, 6507, 280, 27840, 23884, 15996, 277, 7531, 763, 2626, 568, 5111, 1269, 9610, 269, 278, 6911, 7661, 267, 649, 4729, 1312, 11708, 693, 2899, 547, 1294, 602, 621, 729, 513, 1360, 2842, 344, 1554, 8197, 780, 7120, 27203, 267, 476, 271, 267, 476, 10219, 271, 994, 7120, 256, 263, 344, 267, 476, 271, 267, 1535, 272, 2020, 7462, 7151, 281, 20312, 1254, 543, 1875, 9762, 514, 8462, 692, 763, 12157, 345, 8457, 11532, 17648, 513, 6024, 1599, 1269, 325, 8961, 543, 950, 10858, 267, 11729, 606, 5690, 547, 1265, 513, 16798, 4642, 269, 1717, 267, 519, 5690, 3294, 1281, 711, 917, 602, 519, 1599, 568, 6024, 610, 711, 267, 1152, 602, 519, 1599, 2242, 1129, 269, 1306, 971, 267, 621, 666, 3132, 4267, 602, 616, 711, 834, 24029, 257, 950, 1031, 609, 19944, 6681, 3252, 269, 1717, 267, 713, 666, 1869, 581, 4829, 995, 267, 607, 519, 5690, 786, 6556, 1344, 827, 15385, 2418, 540, 1269, 271, 8961, 7654, 693, 19944, 340, 885, 780, 2690, 1383, 267, 1577, 1269, 325, 3287, 264, 815, 476, 272, 24474, 10608, 22682, 519, 8884, 1269, 15631, 272, 267, 272, 316, 259, 568, 513, 834, 3630, 1188, 7566, 257, 8884, 607, 1269, 325, 3287, 7751, 2242, 1129, 1063, 1269, 320, 259, 543, 1269, 321, 10608, 1548, 1281, 519, 5690, 6556, 1384, 325, 3287, 264, 815, 476, 272, 24474, 454, 343, 271, 815, 1265, 318, 14706, 6600, 267, 11196, 272, 267, 476, 272, 11723, 271, 269, 271, 7531, 763, 1599, 568, 711, 3989, 693, 519, 2626, 267, 855, 649, 798, 723, 519, 1249, 602, 1175, 547, 519, 2451, 540, 519, 2626, 630, 2181, 341, 15615, 264, 543, 1175, 547, 519, 1318, 540, 519, 2626, 630, 10113, 15615, 264, 519, 1599, 2242, 1129, 1384, 338, 793, 6600, 263, 2181, 341, 15615, 3287, 271, 4297, 1070, 1129, 6600, 263, 10113, 15615, 3287, 271, 4297, 2020, 8987, 272, 269, 271, 267, 476, 272, 269, 271, 9239, 3383, 267, 519, 834, 321, 529, 1254, 1505, 257, 4294, 1934, 9060, 513, 1448, 1141, 519, 1599, 22613, 1269, 271, 8961, 2901, 676, 15364, 610, 676, 17259, 936, 519, 1269, 271, 10608, 630, 288, 7914, 19944, 8462, 693, 1269, 343, 284, 322, 259, 568, 3989, 676, 519, 2451, 543, 1318, 7182, 540, 1269, 325, 259, 693, 1269, 322, 259, 4540, 855, 1373, 21376, 269, 634, 5690, 666, 1265, 1269, 322, 259, 950, 713, 1826, 540, 1599, 26357, 936, 1269, 271, 10608, 2020, 2162, 634, 1265, 318, 24029, 1599, 692, 763, 20312, 1254, 1505, 5267, 513, 14255, 633, 1797, 547, 3406, 585, 782, 21325, 1369, 606, 8884, 18159, 320, 267, 536, 7751, 281, 8237, 519, 8884, 883, 1082, 1507, 11996, 543, 585, 1142, 602, 568, 513, 15741, 7566, 8884, 1265, 513, 4642, 269, 901, 2241, 6609, 814, 1614, 20924, 281, 621, 1522, 4413, 2418, 1141, 519, 1599, 3085, 1405, 1405, 2965, 3444, 519, 1269, 343, 259, 7852, 282, 621, 1522, 4413, 2418, 1141, 519, 1599, 1175, 546, 2354, 547, 519, 824, 2427, 282, 543, 621, 1522, 4413, 2789, 2418, 538, 519, 1482, 1507, 8884, 780, 26170, 267, 609, 930, 4702, 267, 713, 666, 581, 513, 3730, 1935, 267, 4688, 519, 13946, 1846, 269, 901, 2856, 568, 8045, 538, 519, 1265, 318, 24029, 1599, 540, 519, 24306, 10189, 269, 634, 1599, 568, 1572, 3842, 1265, 318, 24029, 6600, 267, 513, 267, 536, 264, 855, 1934, 519, 8884, 1269, 314, 320, 14720, 316, 259, 568, 711, 8209, 513, 15741, 7566, 8884, 780, 2414, 1294, 267, 649, 723, 1384, 325, 3287, 264, 815, 5430, 263, 1015, 265, 7032, 20080, 994, 22772, 318, 24029, 6600, 267, 476, 271, 267, 476, 272, 2020, 1015, 3887, 2211, 26275, 346, 293, 5979, 520, 5038, 267, 272, 348, 912, 271, 269, 4962, 454, 271, 269, 1428, 454, 271, 269, 1839, 454, 271, 269, 3374, 454, 271, 269, 3393, 454, 271, 269, 276, 5392, 15886, 15886, 15886, 15886, 280, 454, 271, 269, 5038, 280, 15886, 15886, 15886, 15886, 280, 454, 271, 269, 4037, 454, 271, 269, 5952, 454, 271, 269, 4817, 7531, 7775, 585, 513, 9971, 1384, 325, 3287, 264, 815, 1535, 317, 276, 910, 1535, 317, 275, 1341, 1535, 317, 274, 910, 1535, 317, 273, 1341, 476, 272, 454, 22772, 318, 24029, 6600, 267, 910, 1015, 267, 476, 1015, 2020, 272, 3887, 2211, 26275, 346, 293, 5979, 520, 5038, 267, 272, 348, 912, 268, 271, 269, 4792, 272, 279, 2537, 28526, 279, 2537, 4510, 272, 277, 7531, 263, 2080, 1269, 268, 1015, 259, 543, 1269, 1015, 259, 941, 11737, 337, 3320, 6074, 269, 595, 879, 16408, 781, 1505, 1223, 581, 1031, 547, 581, 811, 9836, 24355, 7462, 14572, 535, 3287, 264, 815, 575, 3287, 2020, 8196, 1265, 318, 24029, 547, 1265, 950, 1269, 324, 28682, 815, 1535, 317, 276, 259, 538, 519, 8884, 1269, 15631, 736, 267, 476, 736, 316, 10608, 7638, 1518, 519, 4267, 780, 2414, 8399, 609, 1265, 318, 24029, 267, 649, 5581, 1269, 325, 3287, 264, 815, 552, 28682, 910, 1535, 317, 276, 8961, 607, 1269, 325, 3287, 264, 815, 476, 271, 259, 10502, 950, 1269, 324, 28682, 815, 1535, 317, 276, 10608, 634, 21325, 616, 1287, 1336, 609, 1384, 325, 3287, 264, 815, 1163, 3287, 264, 910, 1535, 317, 276, 454, 345, 338, 815, 1265, 318, 24029, 6600, 267, 910, 736, 267, 476, 736, 2020, 273, 3887, 2211, 26275, 346, 293, 5979, 520, 5038, 267, 272, 348, 912, 272, 269, 27768, 279, 4649, 2004, 280, 271, 4817, 3607, 279, 278, 454, 1321, 269, 278, 1724, 18684, 4281, 279, 279, 6858, 277, 3953, 7531, 763, 3977, 540, 1265, 318, 24029, 568, 513, 6152, 540, 2418, 269, 1677, 2638, 602, 1142, 1871, 568, 606, 16977, 4642, 666, 581, 2944, 609, 519, 834, 1701, 630, 321, 5802, 4751, 264, 16105, 1384, 325, 15301, 345, 338, 2020, 273, 3887, 2211, 26275, 346, 293, 5979, 520, 5038, 267, 272, 348, 912, 271, 269, 271, 454, 271, 269, 271, 7531, 263, 2690, 513, 6024, 1599, 713, 1058, 581, 519, 2013, 602, 519, 2418, 8120, 676, 1265, 318, 24029, 616, 16977, 21325, 269, 19594, 538, 2247, 602, 952, 1269, 325, 259, 568, 711, 1552, 748, 519, 5690, 1522, 1265, 17259, 2798, 602, 616, 711, 21325, 543, 949, 711, 1256, 581, 538, 519, 6389, 540, 519, 1599, 24355, 1012, 26184, 1871, 11532, 692, 763, 26184, 10025, 14497, 568, 1776, 12343, 540, 15364, 780, 2414, 1865, 519, 3665, 1871, 11532, 267, 649, 5581, 606, 6207, 5021, 540, 1269, 325, 3287, 7751, 936, 606, 8884, 1269, 296, 259, 547, 581, 513, 1871, 1269, 325, 6262, 29408, 1269, 322, 259, 538, 1269, 296, 8961, 1141, 1269, 325, 3287, 264, 1422, 19008, 535, 6262, 7751, 585, 1022, 1269, 343, 259, 538, 1269, 296, 10608, 6684, 267, 606, 6207, 5934, 540, 1269, 325, 3287, 7751, 936, 606, 8884, 1269, 296, 259, 666, 581, 3989, 780, 1607, 5750, 540, 519, 10434, 13702, 476, 1911, 14550, 519, 1079, 2035, 780, 763, 3665, 1871, 11532, 11828, 606, 13429, 602, 5849, 971, 6207, 5021, 543, 6207, 5934, 2418, 2291, 780, 763, 3665, 1871, 11532, 281, 1403, 1269, 325, 3287, 7751, 568, 6024, 936, 513, 6806, 8884, 1269, 314, 320, 14720, 316, 259, 1287, 1269, 325, 259, 814, 606, 6207, 5021, 543, 606, 6207, 5934, 936, 1269, 314, 320, 14720, 316, 16859, 263, 3528, 6024, 936, 1269, 314, 320, 14720, 316, 259, 649, 1611, 6024, 593, 18159, 320, 14720, 7751, 543, 1318, 6024, 693, 1269, 320, 259, 543, 2451, 6024, 693, 1269, 321, 10608, 2020, 763, 13429, 602, 1269, 314, 320, 14720, 316, 259, 2882, 922, 1439, 9557, 630, 527, 568, 6806, 264, 568, 2629, 547, 1118, 513, 10018, 269, 1703, 616, 3252, 799, 616, 6024, 593, 1930, 11996, 585, 799, 713, 1267, 568, 711, 3020, 269, 1280, 1383, 267, 1269, 325, 3287, 264, 815, 476, 272, 24474, 259, 593, 18159, 271, 267, 272, 30879, 901, 1599, 786, 723, 1100, 10545, 1871, 610, 4102, 1871, 267, 607, 3989, 1657, 780, 763, 3665, 1871, 11532, 568, 606, 1271, 7811, 1907, 585, 14236, 3193, 9874, 543, 6922, 320, 540, 3252, 780, 7462, 7151, 692, 763, 1599, 1269, 325, 3287, 264, 815, 1422, 6912, 346, 272, 14870, 317, 273, 4151, 568, 6024, 593, 519, 8884, 1269, 15631, 272, 267, 272, 316, 259, 630, 514, 519, 2631, 1657, 1040, 898, 1287, 814, 606, 6207, 5021, 267, 649, 666, 1294, 547, 581, 1269, 272, 259, 9648, 693, 606, 9703, 1448, 1269, 271, 10608, 634, 6207, 5934, 568, 1269, 271, 8961, 621, 4386, 693, 1142, 1439, 4812, 780, 7462, 7151, 692, 763, 1599, 1269, 325, 3287, 264, 815, 1535, 1422, 10383, 552, 13064, 343, 4151, 593, 519, 6806, 8884, 1269, 314, 271, 267, 476, 276, 316, 259, 568, 6024, 269, 9747, 621, 814, 606, 6207, 5021, 267, 799, 513, 3113, 2982, 547, 581, 1269, 271, 269, 275, 10608, 898, 814, 606, 6207, 5934, 267, 5693, 519, 1871, 1269, 271, 259, 9648, 693, 519, 1439, 4812, 780, 325, 3287, 264, 815, 1535, 2608, 1163, 8987, 343, 994, 7120, 6600, 267, 476, 271, 267, 476, 276, 2020, 7462, 7151, 692, 763, 17242, 1599, 1281, 711, 723, 513, 10018, 540, 6207, 5021, 610, 5934, 936, 1269, 8987, 315, 7032, 270, 273, 267, 1422, 7032, 270, 273, 29408, 607, 621, 568, 711, 6024, 693, 519, 1439, 9557, 269, 769, 1249, 267, 621, 3085, 1405, 723, 2901, 970, 516, 2742, 910, 621, 814, 7299, 29297, 4925, 693, 1142, 780, 7462, 7151, 692, 763, 1599, 1269, 325, 3287, 264, 815, 1535, 3867, 273, 270, 274, 4151, 936, 519, 8884, 1269, 15631, 273, 267, 273, 316, 259, 814, 524, 22273, 693, 1269, 271, 10608, 1717, 267, 621, 568, 6024, 593, 713, 6806, 8884, 267, 865, 1590, 723, 606, 6207, 5021, 543, 6207, 5934, 269, 1358, 666, 581, 2938, 689, 519, 3113, 547, 2049, 693, 519, 1439, 9557, 543, 519, 524, 22273, 693, 1269, 343, 284, 271, 8961, 6606, 1384, 325, 3287, 264, 815, 630, 343, 317, 273, 8203, 263, 272, 270, 274, 994, 7120, 6600, 267, 910, 273, 267, 476, 273, 9239, 263, 763, 4214, 1535, 22677, 273, 270, 274, 264, 14543, 267, 666, 596, 1294, 1946, 286, 2020, 7462, 7151, 692, 288, 1715, 3840, 8648, 2376, 11828, 606, 2856, 540, 16157, 3001, 922, 8473, 930, 476, 275, 3445, 3952, 5087 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 888, 292, 4041, 300, 19006, 5508, 674, 5085, 2177, 22494, 281, 476, 272, 269, 1703, 1590, 581, 606, 957, 610, 522, 3939, 476, 273, 269, 15722, 27720, 676, 1876, 476, 274, 269, 769, 2017, 1042, 676, 1797, 540, 13587, 527, 610, 13337, 2467, 1590, 581, 606, 957, 610, 522, 3939, 10422, 684, 27720, 676, 1876, 16638, 2017, 1042, 676, 1797, 540, 13587, 527, 610, 13337, 563, 1432, 616, 519, 476, 276, 1034, 1455, 2609, 888, 29670, 7103, 1419, 2270, 10250, 5666, 540, 1896, 2609, 267, 855, 519, 1034, 10731, 3283, 616, 5135, 267, 3327, 267, 7250, 267, 9436, 267, 7513, 543, 16903, 20166, 343, 4723, 269, 27488, 568, 519, 1034, 10731, 3693, 8659, 1369, 2713, 7103, 267, 21882, 827, 476, 4792, 260, 540, 519, 1480, 1560, 269, 2560, 12539, 269, 2560, 25756, 269, 2560, 21193, 4088, 269, 2560, 590, 5285, 584, 269, 2560, 1912, 6664, 11501, 563, 1432, 616, 519, 1079, 1898, 2609, 540, 6760, 888, 2005, 568, 3622, 8815, 602, 519, 1898, 5820, 540, 1022, 6760, 616, 630, 272, 264, 513, 17319, 957, 610, 522, 3939, 630, 716, 639, 556, 639, 1070, 10483, 676, 630, 273, 264, 513, 1978, 1533, 540, 2247, 630, 332, 839, 556, 320, 1040, 1323, 957, 949, 581, 1022, 2186, 540, 17319, 1480, 7180, 563, 1432, 616, 519, 1614, 2596, 2609, 540, 513, 6760, 888, 1103, 2489, 267, 1169, 6760, 3322, 1614, 2609, 281, 1101, 267, 519, 957, 610, 2932, 12462, 716, 639, 556, 639, 892, 5148, 2034, 267, 519, 1367, 779, 2790, 1533, 693, 519, 942, 540, 519, 957, 12462, 332, 839, 556, 320, 892, 5148, 543, 3791, 267, 519, 1757, 566, 1063, 519, 957, 543, 519, 1198, 630, 20200, 1227, 2901, 968, 2889, 343, 1493, 1757, 566, 892, 610, 968, 8117, 16519, 1757, 566, 892, 1916, 1432, 616, 519, 476, 1724, 1898, 2609, 888, 1724, 15689, 12708, 547, 5020, 27793, 13034, 11770, 4088, 20166, 343, 4723, 269, 4942, 6664, 11501, 10422, 582, 9914, 15660, 617, 710, 12991, 527, 4088, 2529, 5285, 584, 21457, 3688, 7498, 1432, 616, 6225, 2609, 888, 14240, 269, 15689, 602, 12954, 2208, 267, 855, 616, 711, 1898, 630, 1721, 513, 4214, 540, 1898, 640, 1294, 3848, 476, 272, 1070, 610, 616, 1898, 1152, 585, 1978, 2030, 2249, 267, 610, 896, 1808, 2175, 267, 616, 17941, 6225, 2609, 269, 901, 4214, 10039, 538, 1880, 547, 9770, 630, 27845, 1070, 13339, 630, 31333, 264, 543, 524, 28240, 630, 10870, 1916, 1432, 568, 606, 1898, 3693, 888, 333, 269, 630, 18693, 17190, 264, 1979, 32554, 1022, 3114, 3693, 2838, 676, 606, 11248, 585, 2635, 2208, 269, 898, 949, 581, 2838, 538, 1804, 5666, 630, 332, 659, 1258, 22021, 264, 610, 538, 1360, 1507, 5666, 630, 10177, 576, 3693, 1040, 6423, 849, 5672, 1258, 22021, 267, 10250, 3693, 563, 1432, 616, 519, 476, 1839, 1898, 2609, 538, 1272, 888, 24404, 916, 538, 713, 1305, 630, 1839, 264, 295, 269, 7250, 5861, 269, 3327, 12991, 269, 9436, 8160, 334, 269, 544, 8432, 321, 6577, 636, 12171, 269, 14806, 710, 12991, 320, 269, 9770, 8160, 326, 269, 13101, 2529, 328, 269, 13339, 21457, 3688, 7498, 1432, 568, 6760, 543, 922, 1898, 2609, 888, 763, 2609, 540, 513, 6760, 1058, 581, 3656, 538, 2470, 630, 332, 755, 581, 538, 1876, 1070, 2920, 639, 1234, 639, 630, 16058, 2932, 1070, 1757, 566, 630, 16058, 2932, 1590, 2014, 2800, 1070, 2800, 630, 1729, 930, 824, 270, 2251, 1070, 598, 2017, 5270, 630, 8063, 540, 2247, 543, 1480, 2932, 1070, 631, 839, 556, 320, 630, 8063, 540, 2247, 543, 16944, 1070, 15722, 7321, 563, 1432, 568, 519, 1034, 1271, 3693, 888, 27793, 568, 519, 1034, 1271, 3693, 547, 1272, 269, 9453, 713, 3693, 267, 1272, 607, 649, 917, 621, 1131, 711, 2291, 269, 1306, 596, 786, 1294, 267, 3327, 568, 519, 3844, 3693, 538, 7135, 2556, 585, 1272, 563, 1692, 798, 649, 946, 2609, 538, 4948, 1272, 888, 292, 4041, 16774, 4785, 2464, 272, 264, 2704, 26891, 288, 1769, 4496, 1031, 538, 1818, 27858, 267, 5656, 267, 17428, 1299, 31781, 267, 3092, 269, 273, 264, 289, 668, 710, 5825, 539, 538, 10344, 267, 11955, 267, 5521, 15969, 267, 3092, 269, 274, 264, 9773, 6458, 288, 2571, 267, 17285, 3114, 3693, 1336, 538, 14680, 267, 18899, 267, 25879, 267, 3092, 269, 275, 264, 27793, 28062, 538, 5755, 267, 3282, 3154, 267, 2713, 1919, 267, 1299, 538, 802, 2190, 811, 9343, 454, 1432, 616, 519, 476, 1626, 1898, 2609, 888, 2467, 616, 476, 1626, 2609, 1898, 547, 2208, 540, 7693, 2371, 281, 11045, 29736, 676, 2011, 543, 1216, 281, 3327, 267, 7250, 267, 5135, 8160, 659, 1258, 19153, 281, 9436, 267, 8485, 5387, 267, 11379, 2529, 324, 1718, 776, 715, 19153, 281, 7513, 267, 13101, 267, 16247, 8160, 545, 1258, 19153, 281, 18664, 517, 630, 289, 1070, 20841, 630, 5141, 1070, 7601, 630, 290, 340, 1070, 4401, 630, 8722, 1070, 22670, 630, 300, 333, 1070, 544, 8432, 321, 6577, 636, 630, 27770, 1070, 543, 13058, 630, 313, 333, 1916, 1432, 616, 519, 476, 274, 6906, 540, 6760, 888, 763, 17235, 21121, 14439, 1614, 2188, 602, 1711, 513, 7803, 25213, 269, 2677, 790, 540, 513, 7803, 547, 3479, 513, 6760, 282, 27010, 540, 519, 7803, 779, 7287, 282, 543, 519, 31621, 585, 519, 6760, 547, 581, 8149, 269, 1411, 666, 2736, 909, 519, 17235, 21121, 676, 711, 4758, 519, 7803, 519, 31621, 563, 1432, 568, 519, 1769, 652, 3693, 593, 3618, 888, 22134, 4088, 763, 1769, 652, 3114, 3693, 568, 25756, 543, 519, 3389, 5006, 568, 670, 9914, 269, 634, 9322, 585, 10570, 2527, 568, 6121, 829, 12387, 563, 1432, 616, 519, 1898, 2609, 585, 1272, 888, 5804, 519, 1522, 5006, 4544, 17962, 547, 519, 1034, 1295, 4593, 2544, 1612, 877, 6458, 267, 1272, 607, 649, 917, 621, 3217, 13497, 1114, 3029, 269, 16480, 267, 782, 7103, 616, 3710, 689, 519, 1482, 3670, 1898, 3693, 531, 5820, 281, 3327, 267, 7250, 267, 9436, 267, 5135, 267, 16903, 543, 16247, 630, 6224, 17472, 4916, 1916, 1432, 616, 519, 476, 1839, 2609, 538, 519, 1480, 1560, 888, 31262, 540, 15689, 538, 519, 10610, 23682, 4723, 630, 302, 264, 1107, 476, 4792, 260, 540, 1560, 2597, 5861, 12365, 630, 290, 264, 1107, 476, 1240, 260, 540, 1560, 2597, 13034, 11770, 4088, 630, 295, 264, 1107, 476, 1015, 260, 540, 1560, 2597, 12991, 527, 4088, 630, 301, 264, 1107, 476, 274, 260, 540, 1560, 2597, 5861, 531, 6458, 630, 25519, 264, 1107, 476, 272, 269, 275, 260, 540, 1560, 2597, 269, 4942, 6664, 11501, 630, 303, 264, 1107, 476, 272, 260, 540, 1560, 2597, 10422, 582, 9914, 630, 298, 264, 1107, 476, 271, 269, 1839, 260, 306, 5285, 584, 630, 306, 264, 1107, 476, 271, 269, 1839, 260, 5415, 3688, 2507, 1892, 0, 14937, 2681, 540, 18173, 12209, 568, 711, 1175, 3109, 267, 855, 513, 1950, 2497, 547, 10110, 1769, 267, 799, 666, 581, 3379, 609, 966, 656, 629, 331, 871, 267, 513, 1570, 1500, 540, 31407, 25683, 609, 513, 2594, 268, 869, 8086, 2557, 540, 519, 10071, 1769, 269, 901, 568, 519, 3932, 6603, 676, 3173, 689, 16099, 2160, 630, 24433, 1070, 945, 7307, 547, 2268, 519, 6724, 540, 10253, 593, 519, 12209, 540, 891, 7786, 269, 1358, 616, 2966, 1454, 811, 1950, 5044, 540, 31407, 25683, 267, 855, 538, 1410, 2364, 2406, 25182, 621, 1896, 2053, 563, 2252, 519, 4013, 2557, 540, 10338, 540, 519, 10071, 1769, 693, 966, 656, 629, 331, 871, 568, 540, 476, 4200, 269, 9834, 9077, 519, 10253, 593, 18173, 12209, 621, 568, 1175, 1079, 4627, 2195, 540, 513, 2600, 2539, 1107, 540, 476, 4200, 269, 11463, 4939, 269, 6250, 1302, 1312, 5654, 899, 606, 6207, 3109, 8559, 538, 2230, 269, 1809, 952, 966, 656, 629, 331, 871, 729, 2813, 676, 519, 1004, 267, 519, 18173, 12209, 568, 513, 1267, 540, 4720, 269, 1717, 267, 3744, 1869, 723, 1100, 2856, 1946, 789, 991, 971, 513, 9097, 3109, 563, 4415, 513, 11098, 540, 476, 274, 268, 275, 16354, 630, 736, 4939, 540, 519, 11098, 540, 519, 10991, 1570, 267, 966, 656, 629, 331, 871, 1070, 10253, 540, 519, 12209, 941, 1360, 7294, 269, 1703, 616, 31393, 267, 1486, 6350, 687, 267, 2281, 2147, 547, 519, 1591, 4609, 267, 513, 2186, 540, 26703, 267, 3092, 269, 1336, 602, 519, 4158, 652, 2127, 723, 519, 4773, 610, 10775, 5523, 2627, 267, 610, 609, 5394, 7953, 693, 519, 3490, 540, 519, 590, 5588, 269, 634, 1482, 2127, 602, 891, 2609, 540, 14099, 798, 711, 723, 547, 2992, 519, 476, 1626, 2053, 811, 1769, 269, 4475, 267, 789, 616, 4158, 6960, 267, 711, 3109, 563, 14454, 267, 606, 13778, 1377, 540, 1769, 10338, 538, 713, 1979, 27019, 560, 2315, 568, 6913, 1813, 547, 519, 11315, 1145, 540, 519, 2627, 543, 513, 5458, 1858, 540, 10338, 269, 2334, 779, 1175, 875, 519, 6289, 739, 23461, 1369, 519, 10253, 666, 16641, 713, 4452, 267, 1373, 3648, 25182, 543, 811, 17866, 982, 3327, 31407, 25683, 286, 14755, 267, 2016, 519, 1297, 540, 17984, 538, 519, 1158, 609, 3109, 2681, 12209, 267, 972, 568, 513, 4960, 602, 519, 12093, 540, 713, 2497, 786, 581, 4443, 543, 14949, 982, 2870, 1007, 7648, 966, 656, 629, 331, 871, 269, 1656, 1287, 519, 1158, 10741, 2647, 3255, 585, 922, 3498, 563, 13126, 2443, 7186, 18058, 0, 27807, 2861, 8666, 9113, 514, 11827, 676, 26403, 1014, 3173, 2636, 585, 4028, 1486, 19685, 609, 811, 10357, 7888, 2326, 593, 513, 3099, 540, 476, 274, 291, 268, 2745, 532, 5867, 269, 12824, 723, 1500, 1018, 789, 1767, 568, 513, 9645, 13120, 4724, 811, 4264, 543, 1970, 2914, 4292, 19605, 5663, 609, 519, 1646, 540, 513, 1007, 6915, 2861, 18300, 585, 23726, 476, 274, 291, 8228, 563, 299, 603, 10224, 1014, 3173, 689, 18087, 684, 553, 2160, 540, 5303, 543, 966, 559, 333, 3780, 2160, 2813, 519, 18300, 267, 799, 568, 16922, 540, 7791, 6151, 2326, 543, 666, 581, 1031, 538, 9804, 476, 274, 291, 8228, 630, 302, 274, 7894, 1070, 513, 4028, 1486, 19685, 1505, 602, 4867, 3096, 5631, 19386, 23402, 759, 1231, 269, 968, 27807, 2861, 8666, 2275, 9092, 759, 1231, 585, 971, 4066, 616, 711, 4867, 2139, 593, 519, 2344, 2223, 6045, 808, 7035, 320, 744, 14259, 639, 6390, 527, 384, 501, 267, 606, 12314, 7548, 693, 18087, 684, 553, 2160, 540, 5303, 269, 634, 1570, 711, 1152, 568, 811, 10357, 7888, 982, 1699, 759, 1231, 2139, 585, 891, 2010, 540, 1949, 855, 568, 3209, 538, 602, 621, 2636, 585, 519, 21753, 540, 2694, 609, 1312, 24519, 8397, 543, 2890, 8397, 2934, 267, 1767, 631, 836, 2273, 553, 5689, 2088, 23677, 553, 267, 20965, 274, 291, 24614, 5240, 16684, 338, 267, 5412, 476, 274, 267, 476, 1708, 271, 281, 23120, 1290, 1842, 2572, 267, 3642, 5960, 267, 772, 299, 307, 6938, 23354, 12717, 267, 7913, 8490, 16370, 267, 1627, 3036, 302, 311, 267, 18557, 454, 1103, 713, 7160, 540, 476, 274, 291, 24614, 5240, 16684, 338, 267, 23120, 1290, 1842, 2572, 814, 8118, 513, 1007, 5663, 9744, 267, 1247, 1862, 0, 13981, 5020, 3778, 281, 4860, 529, 1746, 519, 12815, 547, 12706, 513, 14568, 8892, 454, 19751, 476, 1015, 267, 476, 1001, 278, 1923, 27239, 29321, 528, 454, 2108, 3086, 1141, 729, 594, 286, 594, 4898, 799, 1259, 594, 1058, 979, 18313, 1765, 8334, 538, 24090, 1633, 267, 11066, 2961, 2651, 454, 1103, 4804, 689, 3776, 22032, 267, 24839, 18067, 545, 2946, 5267, 602, 938, 1272, 1686, 267, 2523, 519, 1686, 540, 938, 1565, 267, 666, 581, 513, 3532, 4199, 585, 1620, 519, 2104, 649, 1616, 547, 1628, 269, 18067, 545, 2946, 17938, 2176, 7855, 547, 5000, 4079, 547, 2263, 741, 3872, 12092, 269, 1879, 4079, 2992, 593, 741, 968, 5158, 3460, 538, 1565, 2223, 646, 3081, 267, 789, 968, 13069, 727, 4589, 540, 741, 2729, 3034, 10932, 2982, 602, 2043, 543, 2516, 4324, 950, 789, 1205, 1927, 547, 2671, 741, 1272, 12583, 269, 769, 513, 1565, 1272, 1686, 3635, 267, 4079, 30603, 543, 5385, 24233, 1565, 2833, 689, 6689, 543, 3564, 269, 1452, 2833, 798, 711, 723, 547, 581, 6101, 538, 2470, 1107, 538, 1249, 267, 1454, 540, 938, 1565, 4386, 3544, 519, 4928, 267, 2436, 621, 779, 5796, 689, 3237, 610, 23003, 610, 8806, 5030, 1995, 269, 634, 3804, 568, 547, 18928, 2626, 7705, 779, 2243, 281, 3767, 1141, 729, 594, 286, 1284, 666, 798, 713, 676, 3695, 930, 1883, 2055, 827, 938, 1565, 912, 268, 1548, 2186, 540, 2250, 1565, 2833, 616, 6209, 538, 1769, 540, 1250, 1459 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 293, 2167, 540, 3013, 700, 8016, 3201, 22295, 7728, 25526, 298, 2464, 10396, 667, 4353, 8991, 14510, 8946, 4629, 308, 21203, 667, 5456, 3951, 3201, 26353, 11123, 670, 2207, 645, 7374, 26480, 4306, 24535, 11550, 297, 17614, 563, 299, 4353, 296, 717, 6938, 312, 4959, 589, 476, 1691, 25286, 292, 2752, 268, 5357, 291, 23414, 7728, 16998, 4696, 308, 8894, 615, 32127, 5396, 267, 945, 2039, 538, 14940, 543, 2085, 2676, 12442, 20978, 645, 5495, 17162, 2207, 2910, 7419, 15045, 312, 667, 17751, 590, 29558, 5357, 454, 5976, 18116, 540, 1469, 602, 3142, 741, 1268, 553, 547, 1272, 563, 20062, 16730, 590, 4047, 670, 3008, 18688, 2894, 589, 22295, 7728, 590, 2562, 4753, 28217, 8894, 14881, 1616, 1004, 547, 8275, 602, 789, 2461, 849, 1977, 454, 306, 29558, 5357, 269, 3962, 1032, 267, 4271, 908, 1053, 2932, 454, 31842, 714, 839, 267, 543, 789, 2461, 849, 1480, 2223, 22630, 11363, 563, 320, 1032, 17489, 1382, 1788, 8506, 606, 15138, 454, 15463, 759, 15929, 5048, 568, 835, 540, 13784, 912, 323, 633, 883, 513, 1808, 2361, 540, 1353, 540, 741, 3903, 267, 1165, 8894, 2171, 782, 4866, 563, 869, 539, 676, 513, 2146, 28129, 5057, 269, 22630, 779, 1698, 7723, 1788, 11331, 267, 968, 293, 2167, 540, 3013, 2223, 2934, 513, 454, 299, 4353, 296, 717, 6938, 312, 24912, 8121, 2316, 4306, 29865, 30121, 912, 338, 7685, 540, 25274, 18705, 23609, 540, 513, 3309, 2039, 540, 454, 2171, 782, 946, 11475, 267, 782, 519, 942, 2676, 25567, 753, 689, 28631, 543, 2066, 519, 2136, 2276, 563, 23719, 6616, 621, 563, 14881, 4941, 547, 954, 331, 864, 1148, 609, 513, 1888, 602, 454, 2171, 723, 1558, 519, 10546, 540, 7862, 2676, 1889, 656, 513, 2603, 547, 803, 267, 543, 594, 4956, 519, 1034, 1611, 8894, 663, 519, 10546, 568, 721, 563, 532, 995, 729, 827, 519, 835, 602, 1185, 547, 798, 609, 454, 1765, 2304, 22448, 32298, 6754, 267, 476, 1960, 279, 454, 15161, 899, 803, 2223, 22630, 8843, 269, 18004, 538, 22186, 332, 663, 340, 267, 18310, 538, 476, 1220, 278, 267, 22630, 2968, 606, 1977, 12504, 2390, 1200, 10073, 454, 2690, 1082, 4892, 540, 2681, 267, 621, 568, 1455, 547, 581, 4280, 676, 29872, 1734, 543, 21046, 912, 2421, 1977, 3237, 543, 814, 12212, 5185, 454, 2108, 8489, 616, 596, 689, 9495, 630, 12585, 281, 772, 2529, 269, 2749, 267, 1533, 994, 611, 951, 640, 9887, 269, 3414, 1148, 543, 1353, 267, 1352, 8359, 454, 2108, 5591, 267, 1141, 616, 596, 2731, 689, 18313, 1729, 2263, 519, 3131, 7065, 783, 14579, 518, 853, 699, 9189, 2676, 763, 3131, 7065, 783, 14579, 518, 853, 699, 9189, 13333, 454, 5417, 7675, 519, 28639, 543, 17499, 12886, 454, 15290, 2067, 1242, 543, 5065, 23899, 4961, 630, 10175, 454, 21865, 9859, 2509, 1004, 540, 2681, 269, 22630, 4967, 454, 325, 7056, 625, 945, 723, 5030, 538, 519, 2197, 585, 25281, 8894, 615, 4145, 609, 713, 8635, 267, 2523, 950, 454, 339, 687, 264, 616, 9228, 607, 4914, 1317, 789, 4866, 454, 15161, 616, 9833, 607, 711, 3020, 4892, 3274, 454, 1729, 12102, 2516, 269, 1703, 616, 1082, 2942, 2360, 454, 20357, 540, 741, 5920, 563, 517, 3961, 543, 1514, 16369, 950, 1004, 540, 454, 2108, 5445, 17330, 547, 581, 5701, 519, 1482, 607, 513, 29341, 3043, 1268, 2223, 22630, 3081, 269, 968, 5445, 1810, 1406, 17330, 4376, 1447, 1317, 540, 741, 7292, 4282, 610, 519, 2681, 540, 741, 2960, 610, 519, 3909, 4978, 789, 3180, 3034, 10233, 798, 711, 1745, 607, 952, 789, 4866, 610, 602, 789, 798, 711, 3514, 519, 4214, 540, 1018, 621, 1797, 547, 581, 1977, 269, 634, 3804, 540, 713, 1698, 7723, 1788, 568, 547, 2736, 519, 3131, 7065, 783, 14579, 518, 853, 699, 9189, 998, 1148, 2676, 26589, 609, 519, 2673, 30023, 540, 1200, 3610, 454, 25531, 543, 2123, 6386, 269, 594, 723, 6537, 454, 663, 31548, 267, 14811, 25669, 667, 549, 614, 267, 717, 342, 2106, 333, 1234, 3724, 267, 543, 454, 1636, 20137, 540, 513, 3309, 1895, 540, 4892, 540, 2681, 2676, 299, 25352, 2142, 341, 1231, 267, 22630, 26518, 13334, 18862, 547, 454, 663, 789, 723, 3838, 741, 6561, 2984, 538, 741, 454, 15276, 1200, 1711, 891, 23609, 1765, 322, 2194, 1005, 519, 6891, 540, 454, 1144, 1913, 269, 1284, 782, 4866, 563, 2752, 12087, 4041, 700, 4353, 8656, 32764, 5308, 2177, 454, 289, 30629, 27999, 1923, 4864, 476, 1708, 271, 0, 24109, 753, 616, 1514, 7919, 543, 1590, 581, 609, 824, 1004, 543, 1826, 3347, 454, 8117, 938, 2078, 3527, 2760, 968, 2492, 15069, 892, 538, 1840, 789, 1058, 581, 4362, 1454, 899, 824, 1514, 5759, 630, 19913, 928, 3187, 267, 6182, 3861, 1299, 595, 719, 1206, 267, 2073, 533, 269, 6507, 1040, 26597, 16895, 26603, 677, 590, 1706, 802, 8044, 602, 519, 1826, 540, 3347, 9002, 723, 2965, 1210, 741, 1292, 15637, 949, 581, 519, 29685, 585, 519, 1272, 602, 568, 2663, 630, 19913, 928, 3187, 267, 6182, 3861, 1299, 595, 719, 1206, 267, 15426, 31346, 538, 2937, 3347, 685, 616, 4299, 676, 519, 3029, 540, 3347, 543, 17960, 789, 786, 723, 9952, 3330, 741, 2038, 1296, 2059, 609, 741, 1292, 15637, 269, 3371, 568, 519, 2596, 5133, 3823, 519, 1523, 540, 1569, 800, 6163, 602, 6811, 602, 519, 1826, 540, 7554, 649, 1106, 693, 519, 4098, 540, 1272, 1764, 519, 12204, 540, 3347, 649, 1106, 607, 6738, 5725, 630, 288, 6425, 517, 267, 14355, 267, 1299, 13019, 1068, 267, 15426, 634, 11095, 18673, 6307, 589, 1231, 10290, 543, 1200, 9164, 4857, 1614, 3270, 540, 27589, 602, 1331, 519, 5150, 13613, 2511, 267, 14221, 270, 3711, 20884, 13613, 2511, 543, 21084, 13613, 2511, 630, 19913, 928, 3187, 267, 6182, 3861, 1299, 595, 719, 1206, 267, 3738, 1310, 11287, 4205, 540, 12256, 609, 741, 11299, 269, 2060, 14621, 547, 519, 1978, 1569, 800, 1374, 835, 8694, 909, 1373, 21947, 609, 543, 4121, 607, 513, 4816, 786, 1397, 1978, 2937, 1569, 800, 6272, 799, 1331, 519, 5150, 267, 840, 31039, 267, 31604, 543, 14962, 532, 2937, 1569, 800, 6272, 630, 19913, 928, 3187, 267, 6182, 3861, 1299, 595, 719, 1206, 267, 2073, 533, 269, 5952, 1040, 9182, 835, 1223, 7747, 602, 519, 4205, 649, 1101, 723, 2965, 609, 713, 15637, 602, 616, 3119, 26048, 938, 3347, 607, 6738, 5725, 269, 4746, 18864, 568, 2111, 547, 8969, 602, 3214, 616, 1101, 8032, 540, 741, 3885, 609, 1100, 835, 1223, 30391, 519, 4644, 540, 519, 31908, 543, 546, 6758, 685, 851, 593, 513, 1762, 1126, 779, 1646, 543, 4010, 875, 621, 949, 1764, 741, 2104, 1646, 269, 901, 6770, 538, 707, 4555, 519, 2856, 540, 15970, 6272, 649, 4362, 538, 513, 2250, 3797, 1576, 269, 667, 10005, 13391, 636, 337, 785, 1711, 513, 1523, 540, 2185, 15970, 602, 568, 3982, 799, 2992, 519, 476, 273, 17114, 540, 15970, 602, 616, 30506, 543, 14053, 1145, 630, 6635, 32200, 267, 15426, 13786, 4369, 9356, 741, 2069, 547, 799, 3237, 616, 11215, 543, 17841, 547, 519, 2370, 835, 779, 4170, 543, 9356, 519, 2698, 2179, 540, 2648, 267, 3002, 543, 2648, 6829, 585, 741, 737, 1342, 625, 630, 6635, 32200, 267, 15426, 5915, 21505, 1145, 9356, 741, 2069, 547, 799, 31908, 543, 546, 6758, 616, 14053, 267, 723, 2965, 4808, 543, 1164, 6859, 585, 3214, 543, 621, 849, 9356, 519, 7274, 540, 9013, 543, 5464, 31908, 543, 546, 6758, 723, 2509, 741, 1453, 630, 6635, 32200, 267, 15426, 25392, 1346, 1079, 17114, 519, 2185, 5686, 540, 15970, 6272, 616, 22265, 267, 28974, 267, 10714, 995, 543, 7989, 1170, 633, 610, 771, 1263, 3042, 269, 9977, 532, 1374, 729, 1336, 547, 7494, 3310, 543, 1860, 1646, 602, 568, 15730, 10123, 1223, 1034, 2693, 3310, 519, 3347, 609, 824, 1004, 538, 606, 9838, 6752, 602, 1569, 800, 1374, 949, 563, 2026, 5018, 1657, 1360, 1360, 2038, 1569, 800, 568, 9565, 593, 835, 779, 1272, 543, 1762, 3283, 779, 1569, 800, 6272, 1020, 689, 513, 3099, 540, 6211, 5222, 543, 1565, 602, 568, 1514, 19913, 928, 3187, 267, 6182, 3861, 1299, 595, 719, 1206, 267, 15426, 634, 1292, 27877, 779, 2623, 543, 2078, 2509, 513, 4816, 1223, 3310, 543, 26048, 741, 6788, 543, 4205, 609, 824, 1004, 538, 741, 4948, 2729, 269, 3204, 8973, 589, 1231, 10290, 779, 1569, 800, 6272, 9002, 609, 2922, 1569, 800, 6272, 7866, 3972, 609, 741, 15637, 267, 2356, 798, 711, 5855, 8164, 1373, 14460, 543, 2070, 676, 2933, 607, 17709, 543, 1134, 17329, 630, 288, 6425, 517, 267, 14355, 267, 1299, 13019, 1068, 267, 15426, 1358, 7363, 946, 741, 1292, 27877, 1373, 513, 968, 338, 12522, 3490, 689, 1141, 547, 2263, 892, 950, 782, 568, 1134, 543, 1118, 946, 540, 873, 585, 28051, 8164, 19225, 2989, 630, 6635, 32200, 267, 2073, 533, 269, 6245, 1040, 9040, 625, 609, 14221, 270, 3711, 20884, 1569, 800, 6272, 616, 538, 31261, 543, 14221, 2094, 789, 616, 8572, 547, 18783, 741, 27877, 779, 2623, 2094, 741, 15637, 6961, 22522, 2623, 543, 2648, 630, 288, 6425, 517, 267, 14355, 267, 1299, 13019, 1068, 267, 15426, 5606, 1218, 609, 21084, 1569, 800, 6272, 4159, 1139, 4809, 4664, 2509, 741, 27877, 18867, 789, 616, 21616, 689, 6721, 513, 11509, 2078, 1210, 873, 607, 1317, 540, 741, 1253, 2331, 2623, 723, 2965, 3361, 873, 547, 581, 7255, 827, 18349, 630, 288, 6425, 517, 267, 14355, 267, 1299, 13019, 1068, 267, 30155, 17780, 2404, 609, 1569, 800, 1374, 602, 9002, 543, 1453, 602, 616, 1762, 454, 5804, 1367, 1995, 543, 689, 2043, 1775, 993, 3222, 538, 1250, 6644, 602, 1569, 800, 1523, 267, 7132, 519, 1657, 5018, 2203, 267, 1223, 8308, 581, 1031, 547, 4766, 2078, 6208, 269, 26419, 607, 513, 1762, 1126, 594, 2919, 513, 2922, 1569, 800, 609, 1250, 31908, 543, 546, 6758, 1247, 789, 1185, 1044, 18906, 633, 547, 1250, 2115, 543, 12391, 267, 891, 941, 1934, 2899, 594, 2838, 873, 543, 10123, 789, 6035, 803, 13948, 609, 15260, 4269, 547, 2263, 1250, 1604, 269, 1306, 513, 6738, 5346, 1775, 4076, 1044, 538, 513, 2990, 547, 1020, 11972, 3347, 543, 594, 993, 8746, 609, 804, 4923, 612, 267, 3972, 532, 824, 1004, 267, 543, 22524, 11163, 269, 1879, 14719, 908, 1866, 689, 1250, 2673, 1604, 594, 949, 849, 1921, 519, 13613, 3069, 547, 741, 2078, 3270, 543, 849, 713, 4667, 6225, 547, 1732, 13498, 873, 269, 1635, 1259, 540, 1383, 606, 538, 3178, 3659, 540, 9553, 543, 2250, 26393, 5526, 1352, 779, 3893, 1711, 513, 840, 31039, 1569, 800, 1374, 543, 849, 713, 1223, 2491, 1200, 4806, 540, 3347, 547, 4266, 3330, 1200, 1272, 269, 2701, 779, 3893, 606, 14221, 270, 3711, 20884, 1569, 800, 1374, 2059, 609, 1200, 31908, 543, 546, 6758, 1813, 547, 741, 960, 9021, 267, 543, 741, 14789, 1185, 1044, 22522, 3823, 741, 2648, 2509, 1200, 269, 1306, 513, 6738, 5346, 1352, 1711, 606, 13613, 602, 568, 840, 31039, 543, 1352, 15225, 713, 1569, 800, 1374, 2509, 1312, 1200, 17052, 543, 15982, 3347, 269, 0, 17471, 1436, 281, 968, 29514, 1436, 892, 4016, 547, 519, 5051, 3486, 3347, 5473, 2528, 267, 1004, 267, 543, 2804, 2534, 269, 1034, 1419, 621, 4016, 547, 9297, 281, 519, 19236, 3892, 540, 6753, 1141, 5370, 543, 2533, 616, 3812, 267, 13087, 998, 519, 5786, 540, 7496, 547, 3486, 4123, 971, 607, 29388, 267, 13143, 12375, 267, 543, 1104, 9889, 553, 269, 14051, 814, 10483, 543, 8329, 547, 2804, 2208, 538, 2919, 543, 3384, 2477, 998, 2799, 29286, 543, 519, 6240, 540, 13354, 5413, 630, 1492, 2702, 540, 513, 1268, 610, 513, 2197, 547, 3132, 513, 1880, 1434, 610, 3028, 693, 513, 2539, 1942, 1916, 1492, 2165, 666, 849, 3277, 547, 519, 30427, 10009, 540, 2093, 267, 4654, 267, 543, 2442, 2528, 269, 7533, 281, 3003, 267, 2347, 267, 2898, 269, 849, 267, 9967, 610, 7768, 540, 2694, 602, 1927, 13822, 513, 2898, 269, 476, 1015, 2062, 5320, 519, 1514, 19727, 3459, 609, 968, 1492, 513, 4599, 5614, 2223, 606, 32574, 602, 3366, 547, 519, 2887, 540, 20816, 538, 26131, 543, 5391, 5984, 267, 543, 14784, 543, 1973, 338, 1117, 538, 861, 6319, 269, 1514, 19727, 3533, 3262, 547, 21570, 267, 609, 17895, 2275, 885, 17729, 538, 838, 664, 267, 27632, 1824, 538, 575, 872, 576, 543, 519, 579, 269, 918, 269, 2073, 543, 1585, 3029, 540, 3540, 13889, 538, 1896, 824, 2477, 269, 6368, 267, 13889, 8452, 538, 519, 579, 269, 521, 563, 5976, 519, 968, 21232, 344, 3350, 892, 602, 3459, 538, 1007, 26294, 2749, 543, 3262, 899, 17382, 13933 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1592, 2187, 825, 8173, 825, 2132, 1297, 540, 2318, 20735, 689, 513, 1895, 454, 825, 2433, 12407, 32102, 912, 825, 2433, 8873, 912, 825, 8173, 825, 5036, 815, 4786, 263, 3553, 267, 32102, 994, 825, 2318, 318, 753, 815, 1305, 26509, 542, 28949, 338, 1115, 994, 825, 2132, 7003, 263, 27168, 318, 753, 9239, 3698, 2040, 15058, 318, 718, 14682, 4981, 318, 27168, 318, 753, 10857, 560, 281, 1592, 2187, 825, 8173, 825, 2132, 519, 2040, 540, 782, 1895, 2318, 20735, 454, 825, 2433, 12407, 32102, 912, 825, 2433, 8873, 912, 825, 29185, 825, 1293, 815, 476, 271, 454, 825, 585, 6221, 538, 32102, 912, 1038, 1293, 6834, 1297, 318, 27168, 318, 753, 30648, 14682, 4981, 263, 14403, 994, 825, 2132, 1293, 7531, 3698, 1297, 15058, 318, 21720, 318, 753, 30648, 14682, 4981, 10857, 560, 281, 1592, 2187, 825, 8173, 825, 2132, 1297, 540, 1455, 20735, 1851, 1895, 454, 825, 2433, 12407, 32102, 912, 825, 2433, 8873, 912, 825, 8173, 825, 5036, 815, 4786, 263, 3553, 267, 32102, 994, 825, 1455, 318, 753, 815, 1305, 269, 5793, 7611, 28949, 338, 1115, 994, 825, 2132, 7003, 263, 21720, 318, 753, 9239, 3698, 2040, 15058, 318, 718, 14682, 4981, 318, 21720, 318, 753, 10857, 560, 281, 1592, 2187, 825, 8173, 825, 2132, 519, 2040, 540, 782, 1895, 2318, 20735, 454, 825, 2433, 12407, 32102, 912, 825, 2433, 8873, 912, 825, 29185, 825, 1293, 815, 476, 271, 454, 825, 585, 6221, 538, 32102, 912, 1038, 1293, 6834, 1297, 15058, 318, 21720, 318, 753, 30648, 14682, 4981, 263, 14403, 994, 825, 2132, 1293, 7531, 258, 260, 14999, 258, 1224, 3403, 1239, 454, 338, 2217, 17750, 815, 1496, 454, 825, 1412, 29582, 22779, 825, 15234, 2676, 825, 1412, 320, 22779, 825, 1412, 321, 22779, 825, 1412, 322, 22779, 825, 15234, 2676, 825, 1412, 629, 22779, 825, 1412, 659, 22779, 825, 15234, 2676, 825, 1412, 320, 22779, 825, 1412, 320, 22779, 825, 1412, 320, 22779, 825, 1412, 320, 22779, 825, 15234, 2676, 825, 1412, 321, 7055, 6540, 16344, 17575, 815, 834, 1485, 318, 277, 270, 6358, 17902, 4840, 5976, 1930, 6600, 32327, 264, 607, 535, 912, 825, 3403, 12774, 815, 535, 18667, 6050, 10797, 6358, 12774, 815, 27883, 343, 14714, 8692, 28829, 585, 1535, 538, 3403, 12774, 6540, 258, 260, 14999, 258, 851, 476, 272, 692, 16766, 539, 12774, 815, 694, 335, 15461, 14682, 4981, 539, 8217, 9272, 12774, 267, 1412, 5073, 753, 815, 2040, 15058, 318, 718, 14682, 4981, 318, 27168, 318, 753, 14116, 4981, 539, 12774, 2020, 2745, 6600, 31415, 4973, 1297, 540, 834, 13433, 257, 4267, 538, 1142, 1895, 281, 2715, 753, 348, 262, 9239, 258, 260, 14999, 258, 851, 476, 273, 692, 16766, 539, 12774, 815, 694, 335, 15461, 14682, 4981, 539, 8217, 9272, 12774, 267, 1412, 5073, 753, 815, 2040, 15058, 318, 718, 14682, 4981, 318, 21720, 318, 753, 14116, 4981, 539, 12774, 994, 2745, 6600, 31415, 4973, 1297, 540, 1455, 834, 13433, 257, 4267, 538, 1142, 1895, 281, 2715, 753, 348, 17210, 2745, 263, 753, 994, 0, 5814, 19523, 454, 338, 903, 29624, 6910, 2891, 907, 5602, 5228, 5391, 1104, 568, 20311, 7272, 531, 30308, 267, 568, 11749, 573, 31339, 18204, 518, 7531, 3698, 1205, 7272, 531, 30308, 28840, 2187, 825, 8173, 825, 4855, 4102, 6022, 30308, 1500, 540, 476, 277, 9704, 676, 519, 8691, 540, 1079, 476, 274, 7857, 2338, 692, 825, 9577, 547, 1491, 1297, 607, 8870, 543, 2132, 519, 14282, 14758, 476, 277, 7857, 6022, 30308, 8528, 825, 30352, 454, 825, 28612, 734, 454, 825, 1297, 2433, 703, 454, 1038, 16186, 540, 1297, 692, 825, 16849, 454, 825, 476, 9339, 8894, 825, 703, 692, 825, 8191, 454, 825, 476, 9339, 454, 825, 623, 4599, 617, 327, 631, 692, 825, 11261, 454, 825, 476, 9339, 454, 825, 476, 272, 5463, 476, 1001, 278, 692, 825, 29185, 825, 952, 568, 11749, 573, 31339, 18204, 518, 28840, 264, 568, 711, 6936, 610, 1297, 2999, 476, 1911, 1822, 912, 1038, 2132, 476, 271, 692, 825, 5493, 30308, 815, 476, 271, 454, 825, 1003, 815, 1297, 22562, 825, 1247, 1003, 3436, 476, 1911, 1822, 912, 1038, 952, 568, 20311, 7272, 531, 30308, 16325, 264, 543, 1281, 318, 527, 318, 17647, 318, 274, 5091, 13424, 318, 2399, 832, 16325, 2187, 2018, 5493, 30308, 815, 1003, 454, 2018, 2736, 454, 1038, 1003, 20699, 476, 272, 22562, 825, 2132, 5493, 30308, 692, 3698, 1281, 318, 527, 318, 17647, 318, 274, 5091, 13424, 318, 2399, 832, 28840, 17107, 825, 621, 318, 17647, 815, 8771, 22562, 825, 585, 1535, 538, 2039, 263, 1911, 267, 15886, 2187, 1038, 952, 1297, 4939, 1535, 2652, 476, 271, 543, 630, 630, 15893, 24474, 264, 3436, 476, 1911, 543, 630, 15893, 24474, 264, 2999, 476, 15886, 476, 2187, 2018, 621, 318, 17647, 815, 6936, 454, 2018, 2736, 692, 825, 2132, 621, 318, 17647, 454, 0, 1029, 10461, 1029, 815, 1412, 294, 23432, 773, 548, 28847, 3698, 536, 12028, 318, 5443, 528, 6831, 3133, 14833, 14116, 1429, 267, 1376, 267, 3804, 2187, 825, 1948, 589, 1260, 3966, 9618, 15259, 562, 6759, 338, 19253, 15606, 454, 825, 8268, 815, 11713, 825, 1948, 589, 1260, 3966, 3873, 547, 323, 657, 522, 320, 524, 3133, 327, 657, 513, 694, 8145, 2357, 881, 15606, 454, 825, 20313, 815, 20886, 11034, 316, 6540, 825, 1948, 14303, 1941, 320, 522, 524, 3133, 14833, 694, 522, 538, 857, 334, 9087, 328, 522, 1073, 27826, 16343, 454, 825, 952, 1376, 2652, 3804, 912, 1038, 2132, 834, 523, 4186, 1090, 657, 5016, 825, 1948, 300, 656, 2946, 332, 522, 8520, 693, 2946, 6446, 547, 323, 657, 15259, 524, 3133, 327, 657, 1502, 6403, 557, 529, 4557, 5069, 521, 18480, 2357, 881, 15606, 454, 825, 1247, 20313, 912, 1038, 2619, 815, 20313, 21014, 263, 271, 994, 1038, 1948, 5136, 339, 655, 522, 3331, 374, 2741, 24982, 562, 6759, 798, 524, 3133, 14833, 454, 1038, 6843, 815, 2619, 15631, 272, 2639, 1038, 952, 6843, 711, 538, 8268, 912, 2018, 30256, 815, 3113, 19559, 1712, 2639, 2018, 1948, 2311, 9545, 612, 320, 547, 323, 657, 15259, 562, 6759, 338, 642, 714, 514, 327, 657, 267, 1526, 745, 320, 19804, 18051, 334, 524, 3133, 14833, 552, 454, 2018, 1948, 29248, 584, 516, 27984, 16948, 513, 2083, 320, 454, 2018, 585, 16705, 538, 30256, 912, 3546, 1007, 24786, 815, 1592, 9638, 987, 994, 3546, 1007, 24786, 6910, 263, 31371, 13118, 994, 3546, 20313, 6910, 28956, 24786, 994, 3546, 1948, 1427, 1941, 320, 522, 524, 3133, 14833, 694, 522, 642, 714, 514, 327, 20527, 522, 1073, 27826, 16343, 454, 3546, 952, 16705, 2652, 3804, 912, 7386, 2132, 1007, 24786, 692, 2018, 1948, 300, 2117, 320, 522, 562, 6759, 635, 334, 19253, 5964, 454, 2018, 8268, 6910, 27316, 2020, 825, 1948, 16629, 334, 562, 14244, 2291, 320, 524, 3133, 14833, 1303, 516, 798, 529, 562, 6759, 338, 454, 825, 2132, 834, 744, 524, 3133, 14833, 1303, 516, 15259, 562, 6759, 338, 562, 14244, 2291, 324, 5016, 23054, 815, 27835, 288, 9166, 18358, 289, 3299, 1412, 290, 3299, 1412, 292, 11172, 2676, 1363, 1412, 289, 9166, 18358, 288, 12887, 291, 3299, 1412, 292, 11172, 2676, 1363, 1412, 290, 9166, 18358, 288, 3299, 1412, 293, 3299, 1412, 294, 11172, 2676, 1363, 1412, 291, 9166, 18358, 289, 11172, 2676, 1363, 1412, 292, 9166, 18358, 288, 3299, 1412, 289, 12887, 291, 11172, 2676, 1363, 1412, 293, 9166, 18358, 290, 11172, 2676, 1363, 1412, 294, 9166, 18358, 290, 11172, 10926, 8578, 338, 318, 5443, 528, 6831, 3133, 14833, 14116, 1429, 267, 1412, 294, 3299, 1412, 291, 10807, 476, 1948, 1427, 1941, 320, 18358, 294, 3299, 1412, 290, 3299, 1412, 288, 3299, 1412, 289, 3299, 1412, 291, 23300 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1554, 267, 513, 1762, 267, 14255, 25771, 557, 1591, 3957, 774, 26515, 729, 31113, 8600, 585, 1200, 3803, 11400, 1354, 4271, 908, 883, 519, 18072, 547, 1831, 513, 2407, 1922, 1194, 3022, 570, 25961, 1591, 269, 2913, 781, 6443, 774, 26515, 593, 1200, 6909, 3460, 540, 11852, 543, 15285, 2439, 14945, 1320, 26515, 6170, 1296, 4974, 2182, 267, 1565, 782, 827, 7114, 3659, 689, 535, 4141, 543, 16565, 2189, 13364, 602, 4847, 1200, 547, 5431, 1808, 6937, 269, 2701, 1185, 1256, 1500, 930, 2673, 2828, 2059, 519, 1259, 1107, 20740, 570, 2281, 267, 27765, 26578, 2281, 267, 543, 645, 2281, 269, 3767, 267, 1352, 729, 4712, 585, 519, 10700, 4161, 281, 1437, 908, 9887, 547, 9718, 1996, 11371, 644, 619, 3927, 780, 2026, 4166, 607, 774, 26515, 9411, 519, 18072, 267, 1352, 11402, 1585, 26898, 630, 339, 4176, 4773, 540, 4914, 6878, 264, 13735, 1472, 269, 19196, 1243, 569, 267, 1352, 3459, 17655, 873, 1210, 1200, 570, 16052, 13805, 2394, 1352, 1336, 835, 602, 3514, 9985, 609, 1200, 13805, 267, 1175, 899, 4466, 519, 1318, 1883, 547, 12260, 513, 7450, 256, 901, 5872, 1129, 4705, 519, 1376, 540, 774, 26515, 781, 7004, 780, 11328, 5562, 27100, 476, 272, 281, 28463, 543, 6749, 2534, 1141, 3755, 6474, 1114, 26898, 609, 741, 7222, 570, 16052, 13364, 1759, 593, 3337, 17356, 780, 3086, 15181, 267, 774, 26515, 2877, 948, 689, 824, 7463, 2281, 865, 1352, 1223, 4163, 856, 1200, 5692, 6707, 269, 3689, 267, 1352, 1558, 909, 609, 513, 1895, 540, 27765, 26578, 2281, 945, 4951, 1200, 15998, 540, 519, 9676, 10546, 269, 1677, 1732, 1174, 891, 14763, 267, 774, 26515, 7722, 538, 513, 18512, 6643, 609, 519, 27765, 26578, 2281, 267, 4687, 1344, 998, 5946, 1572, 29299, 269, 13689, 593, 799, 29299, 941, 22121, 267, 774, 26515, 1131, 1020, 3982, 5759, 7175, 1200, 547, 6023, 3309, 3871, 780, 11328, 5562, 27100, 476, 273, 281, 589, 9910, 3766, 877, 1141, 3755, 666, 1909, 2452, 607, 774, 26515, 267, 7446, 7391, 609, 27765, 26578, 2281, 676, 8939, 3617, 22270, 710, 6114, 3056, 547, 5551, 570, 25961, 1591, 2027, 3074, 780, 4415, 1200, 16012, 7060, 267, 774, 26515, 2968, 2901, 513, 774, 272, 610, 774, 273, 25961, 1591, 267, 5827, 540, 25640, 4761, 6114, 538, 1585, 2081, 269, 1306, 513, 774, 272, 1591, 267, 1352, 5059, 593, 8165, 1055, 10194, 5563, 543, 10510, 2281, 2047, 269, 11531, 267, 952, 1352, 5828, 883, 513, 774, 273, 1591, 267, 1352, 5280, 2149, 1996, 15495, 543, 11959, 1247, 5009, 17193, 2504, 269, 17859, 540, 1200, 1106, 267, 774, 26515, 2141, 6322, 547, 1489, 1200, 8284, 4761, 2281, 543, 2327, 789, 5249, 7561, 1927, 780, 7661, 267, 1310, 2395, 540, 11826, 2866, 267, 774, 26515, 8120, 1753, 547, 2671, 1200, 1995, 609, 1200, 21927, 267, 513, 8797, 25982, 570, 1591, 269, 8625, 267, 789, 14952, 539, 693, 875, 2484, 774, 26515, 1185, 2097, 2094, 6028, 21210, 3590, 6807, 9142, 269, 1656, 1498, 519, 2591, 6619, 1522, 581, 9157, 267, 774, 26515, 6785, 1352, 729, 1631, 5423, 547, 3068, 1022, 3463, 2212, 6823, 267, 1818, 519, 1158, 513, 10930, 1747, 585, 3025, 2713, 1369, 519, 1480, 1560, 780, 5226, 714, 7726, 281, 1548, 12153, 774, 26515, 781, 11852, 1184, 888, 320, 264, 19983, 609, 1582, 268, 656, 580, 839, 454, 321, 264, 20051, 909, 609, 645, 2281, 454, 322, 264, 20876, 1875, 268, 1345, 18970, 3842, 1200, 570, 16052, 13805, 0, 8620, 606, 2502, 543, 3015, 552, 19543, 9074, 593, 1412, 300, 15412, 5735, 3299, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 563, 2171, 616, 1603, 593, 3184, 1412, 3849, 28922, 16930, 21118, 4347, 5151, 8339, 769, 1880, 267, 3296, 1412, 307, 700, 8233, 14231, 543, 8426, 983, 16332, 640, 8339, 1284, 723, 2907, 4988, 519, 1739, 1770, 538, 713, 3296, 281, 1412, 307, 8426, 13870, 543, 4223, 4851, 8339, 1284, 723, 2907, 4988, 519, 1739, 4559, 538, 713, 3296, 281, 1412, 307, 8426, 13870, 543, 4223, 4851, 3299, 1412, 12218, 525, 540, 570, 19204, 8339, 1284, 723, 2907, 4988, 519, 1739, 4559, 538, 713, 3296, 281, 1412, 307, 8426, 13870, 543, 4223, 4851, 3299, 1412, 12218, 525, 540, 570, 19204, 3299, 1412, 307, 4211, 749, 1234, 1061, 832, 8339, 3503, 513, 1007, 1770, 11331, 1412, 8002, 10474, 543, 7756, 2747, 540, 4477, 704, 570, 19204, 262, 780, 21156, 540, 513, 2757, 1837, 1935, 267, 946, 513, 1650, 2861, 2239, 547, 2491, 519, 1523, 269, 8347, 547, 1384, 268, 3680, 2930, 3822, 543, 1459, 519, 2093, 538, 513, 3551, 267, 17187, 3159, 547, 8141, 7279, 543, 9305, 547, 519, 2833, 540, 513, 7820, 5304, 563, 268, 3417, 7317, 2609, 899, 2219, 6901, 543, 1483, 3734, 7653, 269, 634, 3804, 568, 547, 1888, 3839, 543, 1187, 267, 26354, 7279, 827, 875, 621, 10039, 547, 4948, 1272, 563, 268, 1684, 711, 946, 2606, 2453, 971, 607, 834, 342, 4372, 547, 713, 1770, 257, 693, 519, 4098, 610, 8753, 519, 1439, 269, 1684, 711, 946, 2592, 269, 0, 808, 836, 572, 2426, 8381, 8364, 19133, 281, 589, 5530, 540, 11114, 28477, 3203, 692, 1103, 519, 7706, 540, 7489, 1148, 267, 9705, 814, 8329, 513, 5763, 540, 7499, 5389, 602, 12732, 27453, 269, 2290, 971, 2245, 568, 808, 836, 572, 2426, 3574, 8364, 1324, 267, 799, 6585, 1713, 2686, 1871, 538, 9705, 781, 1686, 269, 901, 3184, 12538, 883, 519, 14960, 540, 808, 836, 572, 2426, 3574, 8364, 19133, 1369, 519, 2796, 540, 26353, 1315, 7489, 1315, 11114, 2090, 269, 1284, 786, 4983, 922, 3140, 8129, 267, 13513, 267, 4720, 267, 543, 4207, 10083, 269, 3414, 713, 7634, 267, 596, 786, 2744, 513, 4514, 7071, 585, 875, 12563, 1148, 666, 4196, 607, 1312, 513, 8086, 543, 695, 1653, 540, 6848, 2418, 780, 23208, 17959, 454, 1366, 15365, 763, 5072, 540, 808, 836, 572, 2426, 3574, 8364, 19133, 666, 581, 14360, 1394, 547, 3504, 11114, 6694, 7239, 269, 1452, 9103, 2438, 11308, 18635, 941, 3335, 25517, 1282, 2101, 18497, 2621, 267, 899, 8498, 5748, 18428, 610, 12119, 15976, 14120, 1434, 3771, 341, 3949, 269, 634, 2165, 834, 297, 836, 572, 2426, 257, 3294, 4016, 547, 519, 27369, 6891, 5156, 547, 9468, 891, 18810, 267, 25461, 609, 7863, 14252, 689, 1585, 1608, 600, 885, 543, 3765, 325, 1953, 525, 269, 1306, 8825, 24587, 267, 789, 941, 1419, 5116, 693, 3444, 30030, 610, 2282, 8498, 1303, 27509, 267, 9117, 607, 2366, 514, 1564, 530, 8973, 1055, 9409, 14326, 1247, 22205, 1649, 5271, 565, 550, 3283, 780, 15228, 2513, 1143, 1299, 12472, 454, 2411, 21387, 25565, 808, 836, 572, 2426, 1286, 19133, 18220, 1896, 1883, 2609, 22566, 540, 741, 5289, 1599, 269, 15380, 267, 789, 4183, 12242, 5515, 1765, 821, 5256, 630, 31624, 326, 29569, 264, 543, 835, 4775, 630, 306, 553, 10537, 28931, 10517, 6974, 532, 586, 514, 543, 21583, 19367, 1898, 585, 4509, 3666, 538, 2470, 543, 2486, 269, 10089, 326, 29569, 2356, 5526, 811, 7347, 543, 16757, 267, 1129, 4328, 4222, 543, 6617, 267, 6466, 590, 553, 10537, 15225, 8425, 2401, 14258, 543, 3515, 2404, 609, 10114, 4269, 543, 8296, 269, 8625, 267, 789, 20206, 3634, 519, 18900, 30398, 540, 1727, 657, 2572, 2556, 585, 513, 14762, 2146, 780, 7021, 942, 267, 2705, 267, 808, 836, 572, 2426, 3574, 8364, 19133, 723, 7960, 3564, 741, 3312, 3909, 3252, 269, 4438, 519, 8277, 517, 15913, 630, 16928, 273, 1700, 4489, 271, 1070, 25230, 534, 16809, 6591, 23146, 267, 3056, 547, 513, 7771, 538, 695, 16120, 2065, 2853, 269, 9182, 267, 1082, 808, 836, 572, 31258, 3459, 10452, 16712, 4798, 267, 6220, 18305, 6537, 689, 3232, 1272, 2864, 982, 17033, 5289, 4145, 269, 1280, 3236, 267, 930, 1286, 19133, 6813, 10207, 540, 8105, 267, 10122, 267, 610, 1514, 19771, 267, 8272, 337, 1681, 519, 9687, 4690, 543, 2418, 540, 11114, 2486, 780, 28757, 25684, 454, 2411, 19030, 8601, 18460, 14759, 2429, 1686, 267, 808, 836, 572, 2426, 3574, 8364, 19133, 2611, 7184, 3824, 11712, 538, 4207, 11114, 2528, 269, 1358, 3136, 547, 2408, 538, 1585, 3029, 267, 1519, 1857, 1148, 19698, 267, 6204, 1597, 15077, 267, 543, 1256, 3059, 2923, 269, 5047, 267, 972, 568, 3395, 1719, 1851, 7820, 5481, 547, 8190, 543, 3895, 2757, 11114, 6575, 267, 3056, 547, 17105, 22906, 609, 808, 836, 572, 2426, 3574, 8364, 19133, 780, 2690, 1383, 267, 7376, 13198, 328, 667, 532, 781, 26813, 21088, 1397, 267, 834, 299, 14241, 667, 532, 781, 15188, 281, 6875, 5851, 543, 5269, 7464, 519, 623, 878, 6804, 538, 2659, 9839, 2437, 7710, 519, 10167, 1063, 29678, 543, 6561, 998, 5368, 614, 13133, 725, 540, 5929, 808, 836, 572, 2426, 6272, 269, 1635, 10243, 532, 10063, 2388, 18705, 676, 4600, 538, 606, 1148, 3146, 335, 3174, 12051, 267, 667, 532, 12651, 2055, 827, 4589, 1222, 267, 13597, 267, 543, 519, 12796, 2305, 540, 2686, 13742, 269, 6270, 19929, 5031, 519, 11972, 4644, 540, 808, 836, 572, 2426, 3574, 8364, 19133, 607, 14984, 6698, 5827, 540, 10489, 2056, 13796, 6302, 543, 2502, 3309, 9458, 780, 6962, 454, 29603, 7437, 938, 6514, 540, 808, 836, 572, 2426, 3574, 8364, 19133, 1369, 519, 6626, 9165, 540, 7489, 543, 11114, 1148, 267, 649, 723, 20114, 6106, 540, 2495, 11251, 1369, 891, 9583, 25229, 21747, 3889, 269, 3245, 741, 3140, 8129, 607, 8825, 24587, 547, 741, 13916, 538, 3210, 547, 4657, 8739, 27791, 8916, 267, 808, 836, 572, 31258, 1796, 15266, 547, 519, 6043, 543, 21755, 540, 11114, 12563, 1148, 269, 5015, 267, 741, 4797, 4527, 538, 4207, 27964, 19156, 519, 2956, 540, 8497, 30608, 2686, 6561, 9624, 4028, 14051, 780, 2026, 2104, 5640, 543, 9439, 267, 621, 568, 2629, 547, 1935, 971, 5396, 609, 8417, 543, 13857, 24300, 269, 1635, 3257, 865, 267, 649, 2327, 602, 891, 3638, 7499, 5389, 3136, 24084, 2287, 721, 267, 3246, 3407, 4030, 883, 8103, 781, 3838, 2250, 543, 1761, 20304, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 303, 23176, 15966, 768, 1157, 779, 968, 296, 2549, 23745, 10557, 892, 568, 513, 476, 3445, 18826, 17245, 4670, 593, 519, 9371, 540, 713, 19416, 4137, 538, 519, 1158, 540, 19831, 6575, 543, 9913, 269, 19877, 338, 609, 1346, 945, 6785, 1864, 1134, 616, 20057, 1194, 2429, 519, 4670, 269, 4864, 476, 280, 1152, 693, 476, 278, 533, 6230, 269, 543, 476, 280, 533, 6230, 269, 19566, 17912, 17072, 693, 476, 14681, 276, 1107, 476, 1321, 628, 589, 557, 269, 11910, 630, 18684, 264, 476, 279, 3066, 268, 4281, 277, 274, 563, 28317, 774, 514, 27387, 892, 2934, 1007, 960, 676, 1079, 5545, 2021, 5159, 269, 717, 537, 5995, 543, 15513, 12400, 676, 631, 1872, 328, 6875, 328, 543, 1216, 10233, 10367, 676, 681, 26619, 918, 9655, 3626, 269, 5637, 5159, 2263, 6698, 543, 8823, 540, 519, 1480, 2783, 609, 513, 28031, 5652, 11419, 543, 513, 10347, 2943, 2625, 532, 2283, 2225, 269, 3689, 13628, 6679, 593, 4864, 476, 273, 689, 476, 277, 1107, 476, 279, 533, 6230, 269, 2201, 2070, 998, 4864, 476, 1240, 269, 595, 1638, 558, 20155, 267, 476, 2568, 274, 590, 269, 6301, 853, 1421, 22208, 269, 11910, 630, 18684, 264, 476, 280, 866, 268, 279, 2767, 279, 610, 979, 547, 8940, 269, 1529, 331, 558, 326, 718, 2044, 2593, 563, 2108, 299, 14241, 667, 532, 779, 15188, 281, 6875, 5851, 543, 5269, 7464, 519, 623, 878, 6804, 538, 2659, 9839, 1848, 1548, 4523, 950, 513, 19864, 2413, 5159, 862, 3827, 960, 676, 1500, 676, 4600, 538, 606, 1148, 3146, 335, 3174, 12051, 286, 4855, 856, 538, 713, 1977, 26813, 21088, 1397, 676, 11110, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 297, 836, 572, 2426, 8381, 8364, 19133, 257, 607, 851, 540, 834, 11286, 1315, 7489, 1315, 11114, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 8080, 547, 938, 3992, 827, 10128, 1079, 3532, 2645, 910, 14069, 18218, 27561, 7896, 630, 7704, 11965, 264, 543, 5295, 19739, 256, 1452, 2645, 948, 1004, 1711, 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 ]
[ 519, 2679, 1184, 563, 268, 16195, 5823, 281, 9869, 8558, 267, 19190, 543, 824, 3782, 6703, 3984, 10347, 3937, 543, 2326, 602, 949, 10460, 513, 1713, 1166, 2459, 1464, 1981, 269, 23496, 3595, 3106, 568, 2556, 547, 2149, 2550, 267, 2564, 5234, 543, 519, 2565, 5989, 540, 3782, 5238, 563, 268, 9869, 20890, 543, 22098, 281, 12182, 1564, 267, 14060, 543, 824, 24756, 4213, 1419, 723, 513, 1164, 5003, 3599, 2557, 267, 543, 519, 1981, 540, 3595, 666, 581, 11506, 269, 11109, 513, 9488, 1620, 540, 3595, 3106, 3800, 2337, 16102, 14538, 267, 5234, 543, 519, 3959, 3294, 563, 268, 12409, 5238, 281, 12140, 267, 12621, 543, 9945, 1590, 4225, 3595, 3106, 547, 2149, 1053, 267, 3610, 543, 3407, 3872, 2200, 269, 5345, 659, 6672, 4566, 543, 3595, 24200, 616, 2523, 1271, 538, 891, 5468, 563, 268, 13813, 543, 3154, 2872, 281, 634, 3282, 543, 3154, 5823, 3322, 1166, 30100, 6878, 267, 1818, 621, 11630, 547, 3595, 13685, 269, 21004, 3595, 3106, 3800, 616, 16122, 547, 2061, 21472, 2621, 543, 2149, 10986, 2324, 538, 891, 5054, 563, 268, 4825, 841, 543, 16292, 327, 17639, 281, 4825, 841, 4213, 543, 16292, 17346, 1419, 4558, 1804, 9424, 540, 5370, 267, 930, 540, 799, 949, 581, 1166, 30100, 269, 28552, 3595, 3106, 14014, 1312, 5520, 543, 3407, 11891, 563, 268, 5303, 543, 1239, 7740, 281, 4578, 7740, 2777, 2565, 8668, 5989, 267, 543, 11642, 666, 1267, 538, 1239, 2530, 543, 21463, 269, 9605, 3106, 3800, 616, 2629, 547, 16102, 1239, 7740, 267, 4180, 519, 15364, 540, 4238, 543, 1239, 8699, 563, 268, 18815, 543, 17825, 281, 24322, 3238, 538, 6283, 543, 17825, 267, 971, 607, 11288, 267, 2011, 6050, 543, 1854, 9535, 267, 991, 547, 4225, 3595, 3106, 267, 2523, 6236, 519, 1761, 585, 11642, 538, 6472, 610, 4859, 2127, 563, 268, 11982, 543, 8105, 281, 16581, 4238, 4125, 12227, 267, 4859, 540, 6694, 2472, 543, 3006, 1166, 30100, 2326, 269, 2037, 1721, 1424, 3595, 3106, 3800, 568, 2629, 547, 16102, 6705, 267, 3484, 32305, 543, 6694, 7221, 563, 4407, 891, 6080, 723, 513, 2362, 991, 585, 8508, 513, 2528, 540, 3106, 267, 621, 779, 1271, 547, 4063, 602, 3595, 3106, 568, 513, 8471, 6161, 267, 543, 782, 4213, 267, 7488, 540, 2872, 267, 1058, 4225, 519, 1134, 5630, 540, 741, 5520, 543, 519, 4027, 540, 7221, 676, 7598, 7347, 3595, 4656, 3292, 563, 19733, 543, 9751, 454, 32715, 619, 1058, 1902, 538, 3102, 9441, 3595, 3106, 2866, 3292, 602, 3382, 6604, 267, 27549, 5773, 543, 519, 1697, 946, 540, 3595, 24773, 29913, 543, 824, 3595, 3106, 3937, 269, 31071, 3595, 3106, 2866, 602, 2882, 2834, 24200, 543, 13502, 666, 3986, 5520, 685, 1620, 543, 3210, 7207, 538, 2013, 540, 513, 3595, 6595, 563, 16391, 3074, 1058, 3715, 2312, 543, 13801, 2792, 9055, 585, 3595, 5829, 1344, 269, 901, 2882, 20171, 6595, 14827, 11507, 267, 711, 1182, 540, 1141, 547, 9594, 519, 3595, 15372, 267, 3595, 6604, 4808, 543, 3346, 1344, 585, 11280, 6595, 10986, 538, 519, 2680, 540, 513, 3595, 269, 17115, 21130, 543, 17923, 713, 1344, 2337, 547, 1832, 3595, 3106, 3800, 693, 519, 21282, 540, 5520, 685, 8186, 563, 300, 582, 10675, 5520, 676, 2502, 873, 538, 3106, 26639, 610, 2866, 7886, 269, 3752, 7228, 5955, 593, 3106, 5773, 543, 6451, 9441, 4030, 883, 17975, 519, 3595, 3106, 2866, 1982, 269, 1879, 5520, 1995, 513, 2631, 540, 9562, 543, 1871, 267, 789, 616, 20916, 547, 2285, 513, 3152, 4674, 547, 3106, 538, 741, 3232, 2238, 563, 2691, 3401, 4225, 543, 8362, 23596, 3595, 4656, 7341, 267, 621, 31825, 513, 8903, 5048, 547, 519, 3003, 13781, 269, 13079, 25150, 543, 9946, 1058, 711, 1152, 1683, 3595, 3106, 2866, 267, 855, 849, 1291, 676, 1383, 269, 901, 2882, 20170, 547, 3106, 10873, 267, 10283, 538, 2866, 543, 9846, 5009, 513, 3106, 23867, 14820, 563, 13434, 10744, 543, 25166, 1841, 454, 15307, 28344, 2318, 15699, 585, 11108, 11428, 547, 3595, 3106, 269, 901, 666, 1331, 14344, 2043, 945, 8362, 7119, 538, 24200, 267, 2697, 1761, 3595, 10898, 610, 3565, 5499, 2093, 547, 3986, 3106, 3800, 543, 2061, 9036, 11642, 269, 23779, 5932, 513, 2318, 4783, 267, 8716, 1866, 547, 1246, 9290, 563, 19894, 10748, 1080, 543, 28018, 687, 454, 2414, 2327, 519, 5571, 7145, 540, 3595, 3106, 3800, 267, 3906, 1058, 2932, 2834, 32116, 543, 24422, 269, 901, 3322, 10442, 519, 2783, 540, 1169, 3595, 24773, 8718, 267, 10992, 6595, 608, 1080, 585, 10333, 543, 7114, 1022, 1761, 3595, 10898, 269, 8617, 10526, 948, 2226, 513, 14942, 1935, 547, 3595, 3106, 563, 18204, 1674, 609, 7577, 9177, 454, 27852, 4656, 1058, 16900, 11753, 609, 519, 2949, 2754, 2528, 269, 8881, 3800, 1058, 711, 581, 9228, 607, 5094, 610, 24675, 727, 4247, 855, 2864, 607, 7533, 3334, 540, 3232, 4238, 269, 2506, 5523, 3429, 3595, 3106, 883, 519, 2754, 779, 2418, 25040, 922, 2956, 543, 8309, 547, 519, 3339, 1436, 540, 3106, 2853, 563, 17730, 513, 2528, 540, 3106, 602, 3922, 3278, 3595, 4656, 3340, 513, 3818, 1922, 14239, 1935, 5473, 2069, 267, 2792, 267, 6278, 267, 5718, 267, 11428, 267, 6284, 543, 2834, 10526, 269, 1635, 7598, 891, 4388, 267, 3906, 666, 6536, 606, 1604, 1141, 3106, 568, 711, 1175, 513, 1305, 540, 3652, 855, 513, 3838, 7029, 602, 15449, 919, 1169, 2460, 540, 519, 9036, 269, 589, 2528, 540, 3106, 14014, 5520, 543, 7221, 1247, 849, 7393, 10721, 6043, 543, 5009, 513, 2318, 960, 1604, 563, 8512, 1676, 609, 9605, 13892, 8881, 16811, 585, 18043, 9605, 8881, 9751, 585, 2659, 15762, 26963, 334, 6355, 454, 27852, 13892, 8881, 16811, 6763, 856, 607, 606, 5140, 3903, 585, 15762, 26963, 334, 4213, 17935, 547, 1128, 650, 513, 2528, 540, 3595, 3106, 563, 2171, 2709, 513, 3102, 2039, 540, 1283, 7779, 3595, 3106, 3937, 3358, 547, 2743, 519, 1808, 2115, 540, 4213, 538, 519, 3148, 269, 3776, 7029, 547, 10220, 609, 2872, 4441, 5849, 519, 10727, 543, 7145, 540, 938, 2472, 269, 5047, 267, 938, 2319, 540, 4966, 2488, 10531, 15360, 543, 2866, 2533, 267, 16779, 5520, 609, 7850, 3595, 3106, 2866, 547, 2232, 513, 3595, 6595, 3927, 563, 3528, 7446, 9605, 13892, 8881, 16811, 267, 15762, 26963, 334, 4213, 711, 1152, 1902, 538, 14167, 3595, 3106, 3435, 855, 849, 3565, 547, 519, 1646, 540, 513, 7347, 3106, 2528, 267, 17516, 1312, 741, 7221, 543, 519, 1134, 5630, 540, 741, 13781, 269, 13555, 721, 2221, 585, 811, 1344, 269, 0, 763, 13391, 520, 4673, 32020, 2471, 4826, 6420, 267, 1634, 676, 1585, 4408, 1519, 717, 537, 742, 516, 632, 3288, 22107, 1228, 632, 13391, 520, 4673, 267, 717, 537, 742, 516, 964, 18858, 529, 623, 20184, 267, 610, 7195, 537, 327, 7195, 12711, 267, 6763, 607, 513, 7415, 2067, 4715, 12386, 31314, 538, 519, 2295, 540, 519, 28677, 3148, 540, 13378, 710, 8498, 538, 26288, 267, 2282, 7195, 12711, 563, 5522, 2426, 532, 13497, 883, 513, 2620, 669, 11047, 540, 1472, 476, 7742, 7397, 267, 713, 1216, 6420, 22107, 3547, 883, 519, 17909, 540, 7195, 12711, 267, 513, 13946, 5704, 2299, 20077, 1369, 519, 30083, 26226, 14680, 563, 26903, 781, 26274, 814, 8032, 1614, 20422, 2067, 13123, 267, 12461, 14688, 30305, 267, 17364, 513, 10511, 527, 748, 27905, 1369, 519, 2295, 540, 6778, 26288, 269, 11354, 5503, 267, 1200, 531, 3429, 519, 12614, 540, 6777, 332, 3881, 267, 22168, 519, 1216, 6420, 538, 922, 2407, 26672, 528, 269, 9282, 1419, 3819, 538, 4832, 267, 519, 705, 903, 338, 3788, 606, 25713, 15564, 25378, 14952, 563, 23210, 6915, 6741, 548, 6048, 28741, 3213, 858, 7159, 5189, 519, 13391, 520, 4673, 717, 5282, 669, 11047, 543, 922, 13570, 547, 519, 5375, 1158, 538, 476, 4198, 273, 269, 4595, 1287, 267, 621, 814, 1044, 23939, 25528, 543, 6594, 269, 769, 519, 476, 2735, 271, 338, 267, 519, 4325, 548, 334, 11833, 540, 26288, 23939, 5750, 539, 519, 1858, 267, 21048, 4979, 519, 6946, 3877, 540, 713, 17027, 4898, 563, 2304, 4603, 5342, 538, 476, 2735, 279, 267, 14139, 513, 24638, 20004, 267, 14751, 539, 602, 1216, 759, 584, 5865, 693, 519, 2707, 540, 667, 4150, 327, 538, 631, 724, 15756, 620, 8566, 3873, 537, 27895, 597, 267, 4092, 2282, 7195, 12711, 563, 8253, 2406, 267, 713, 17027, 14952, 9060, 922, 1747, 2059, 519, 26288, 13738, 20417, 630, 299, 21587, 1040, 17714, 532, 689, 700, 752, 331, 537, 330, 547, 570, 2335, 712, 710, 267, 519, 8905, 10274, 17631, 998, 7195, 12711, 8498, 269, 589, 5618, 2947, 18826, 32751, 542, 883, 519, 14860, 2630, 21048, 2812, 519, 30811, 1747, 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 ]
[ 1858, 563, 1607, 786, 2327, 602, 596, 1205, 519, 1034, 8013, 3902, 2139, 689, 513, 18019, 18261, 602, 814, 5293, 938, 7453, 13170, 1184, 563, 11767, 707, 2022, 13892, 543, 1788, 3877, 547, 2638, 596, 20618, 1287, 1683, 707, 3346, 3877, 563, 10000, 547, 476, 274, 9516, 3888, 619, 538, 707, 2199, 1858, 786, 1289, 596, 547, 6582, 12220, 563, 2252, 596, 2811, 6126, 547, 979, 454, 320, 3650, 267, 519, 3888, 518, 596, 3442, 786, 4163, 856, 519, 960, 543, 948, 609, 681, 295, 3674, 269, 0, 1607, 2376, 814, 1044, 12649, 676, 519, 1739, 13445, 15503, 281, 8834, 590, 25423, 454, 306, 597, 7671, 1733, 8077, 630, 5002, 278, 1700, 1960, 277, 264, 729, 606, 2296, 7098, 517, 27658, 11653, 945, 11827, 519, 2881, 2692, 27826, 2599, 538, 476, 4350, 271, 630, 1492, 1101, 3498, 540, 519, 3154, 17081, 547, 15191, 27668, 1040, 2776, 16227, 519, 3154, 17081, 1185, 1044, 9833, 607, 513, 3684, 585, 23478, 14788, 1379, 267, 855, 1733, 8077, 4718, 621, 607, 513, 1797, 585, 3246, 15191, 27668, 538, 8484, 338, 269, 3571, 5075, 1131, 32753, 7369, 519, 1576, 540, 18229, 1686, 269, 634, 8978, 1101, 8184, 540, 606, 8484, 609, 1010, 2881, 2692, 27826, 2599, 3576, 1747, 538, 476, 3707, 272, 563, 306, 597, 7671, 1733, 8077, 910, 32591, 5422, 27505, 518, 630, 290, 990, 18782, 1299, 2782, 342, 6506, 10921, 281, 11595, 994, 306, 597, 7671, 1733, 8077, 630, 5319, 9871, 320, 4215, 27429, 994, 29493, 2401, 808, 269, 25350, 630, 22117, 8191, 5148, 30681, 590, 25423, 630, 307, 8084, 15503, 264, 834, 2662, 8077, 267, 7671, 2668, 769, 281, 15610, 540, 3047, 269, 661, 1091, 269, 12338, 2401, 808, 269, 25350, 630, 29910, 267, 667, 5861, 12727, 7025, 6176, 29663, 267, 2817, 7027, 585, 3163, 543, 519, 5113, 1040, 1496, 5575, 3370, 538, 519, 15610, 540, 3047, 4864, 476, 1240, 267, 476, 1220, 277, 282, 7831, 15428, 11261, 4864, 476, 1240, 267, 476, 1220, 277, 282, 8158, 2904, 476, 1839, 267, 476, 1001, 274, 2999, 10674, 2517, 4178, 4318, 334, 24160, 3820, 270, 14835, 270, 2662, 8077, 267, 318, 29445, 285, 0, 24552, 2334, 9093, 14970, 1635, 454, 288, 3630, 5069, 12493, 630, 6977, 279, 994, 9915, 305, 5058, 293, 296, 5085, 291, 267, 7629, 1421, 4873, 476, 1626, 267, 476, 6977, 279, 910, 14062, 12493, 2221, 13934, 519, 8549, 6554, 543, 519, 1360, 3664, 540, 8549, 10470, 609, 519, 5098, 267, 4359, 538, 519, 8474, 3390, 1369, 519, 2136, 2276, 267, 610, 713, 9872, 3294, 786, 3142, 1524, 519, 2898, 2497, 540, 519, 6243, 563, 3891, 12038, 538, 16561, 519, 17044, 9930, 1588, 585, 519, 14130, 269, 769, 713, 16311, 1010, 18545, 568, 15537, 589, 269, 19958, 267, 519, 19391, 520, 4171, 1507, 1145, 540, 588, 1155, 630, 4818, 1563, 609, 6004, 269, 12493, 781, 8966, 4463, 264, 2306, 513, 1376, 1782, 4334, 609, 1010, 25422, 1634, 610, 1807, 673, 13344, 563, 763, 1079, 10457, 786, 5859, 585, 519, 9550, 267, 711, 676, 2442, 8917, 267, 855, 538, 519, 7608, 1459, 2688, 540, 12394, 547, 23666, 519, 2818, 540, 519, 3557, 22694, 1155, 267, 676, 4171, 8917, 835, 610, 519, 824, 786, 581, 6074, 563, 763, 6249, 540, 6004, 269, 12493, 781, 10343, 4633, 729, 519, 19978, 19722, 267, 834, 288, 2777, 5258, 1996, 3294, 3112, 1796, 4799, 4913, 267, 1010, 4633, 568, 811, 8037, 585, 519, 2143, 543, 2943, 8642, 1163, 3789, 2016, 547, 519, 2898, 3390, 540, 8474, 543, 922, 2797, 29298, 267, 609, 519, 28730, 602, 646, 14753, 519, 21169, 540, 519, 589, 2513, 819, 1235, 563, 1432, 1198, 713, 786, 723, 2390, 6004, 269, 12493, 781, 2797, 2104, 568, 607, 2943, 2182, 547, 3589, 267, 855, 646, 814, 9788, 1524, 513, 1007, 5758, 540, 519, 8832, 4661, 602, 2306, 513, 8037, 1957, 538, 2797, 3045, 1023, 563, 16031, 269, 5518, 543, 22918, 548, 5443, 540, 519, 13482, 281, 1403, 649, 1223, 1101, 917, 1141, 649, 616, 267, 543, 627, 2416, 649, 616, 512, 2056, 267, 649, 1223, 1732, 9794, 1018, 547, 798, 267, 543, 875, 547, 798, 621, 269, 1284, 616, 1631, 2484, 883, 519, 11359, 1032, 2094, 513, 3609, 729, 15748, 609, 519, 1285, 15735, 1843, 267, 543, 8746, 9153, 267, 540, 8380, 606, 1439, 547, 8474, 989, 2787, 269, 7201, 519, 5106, 540, 602, 3609, 267, 602, 989, 2787, 711, 1152, 814, 711, 30403, 267, 855, 814, 7683, 21284, 269, 769, 1250, 6644, 267, 621, 786, 711, 24044, 2394, 513, 6433, 4927, 723, 1044, 6603, 543, 5293, 269, 834, 288, 2777, 5258, 1996, 3294, 3112, 1796, 281, 257, 594, 3494, 713, 2229, 3112, 22036, 18385, 267, 3368, 10553, 543, 3368, 1863, 269, 594, 798, 711, 2503, 519, 5742, 547, 581, 15702, 282, 594, 798, 711, 2503, 519, 2777, 547, 2887, 282, 855, 594, 798, 2503, 602, 621, 786, 24044, 547, 581, 5258, 269, 898, 786, 1831, 782, 835, 3364, 267, 610, 782, 519, 824, 563, 292, 2416, 519, 17837, 540, 8474, 786, 10654, 519, 2417, 3262, 540, 621, 267, 543, 1747, 621, 1141, 519, 1857, 2247, 4927, 1964, 538, 519, 3661, 602, 621, 568, 538, 519, 1576, 540, 10700, 14486, 282, 610, 922, 15156, 786, 7903, 621, 4464, 11489, 621, 4927, 581, 268, 2097, 7567, 1876, 995, 538, 782, 519, 2276, 267, 2025, 607, 1134, 607, 1007, 267, 3345, 607, 1134, 607, 3162, 269, 4429, 763, 1007, 1032, 540, 476, 6977, 275, 1336, 8474, 16934, 689, 811, 982, 3368, 519, 2829, 676, 1533, 1526, 4801, 267, 543, 689, 1034, 540, 519, 3084, 8513, 676, 6837, 1308, 29611, 269, 9050, 2395, 2663, 862, 10642, 519, 6560, 799, 8694, 538, 4735, 2718, 602, 6837, 1308, 29611, 269, 901, 8118, 782, 519, 3084, 8513, 547, 8474, 267, 543, 729, 519, 1101, 1448, 6591, 269, 1809, 267, 865, 2484, 267, 6837, 1152, 1185, 19500, 267, 543, 606, 23596, 618, 267, 676, 519, 1004, 267, 1483, 610, 7805, 267, 729, 16832, 267, 547, 4688, 519, 1448, 2907, 6591, 543, 2285, 4960, 585, 811, 269, 901, 13766, 1185, 711, 1044, 15763, 267, 855, 1185, 1044, 3177, 585, 267, 607, 1134, 607, 1522, 581, 267, 538, 519, 8037, 4661, 540, 834, 338, 638, 2660, 16285, 2437, 6382, 1572, 834, 338, 659, 1042, 1318, 540, 1582, 3766, 17922, 21968, 799, 8545, 8360, 1498, 22192, 540, 519, 1152, 1318, 995, 4493, 540, 1022, 2229, 267, 729, 865, 829, 30062, 538, 713, 13986, 946, 540, 621, 607, 547, 2179, 547, 1175, 713, 281, 2334, 267, 952, 4896, 812, 3442, 547, 17760, 1511, 1776, 267, 1100, 3791, 812, 4927, 581, 4847, 547, 1843, 269, 2334, 4661, 729, 11368, 609, 519, 27228, 3915, 3294, 269, 3267, 10190, 8118, 519, 887, 541, 540, 10690, 3616, 14212, 538, 3870, 540, 834, 338, 638, 2660, 16285, 2437, 543, 834, 338, 659, 1042, 1318, 540, 1582, 3766, 17922, 1701, 834, 3719, 2437, 1767, 11685, 2818, 267, 834, 2280, 721, 18985, 519, 3915, 865, 607, 547, 2769, 569, 17551, 602, 519, 1004, 540, 519, 8513, 949, 23868, 8474, 1701, 834, 8253, 649, 2437, 1767, 519, 2828, 540, 519, 2268, 282, 543, 1524, 789, 20366, 519, 17203, 563, 4407, 519, 27228, 3915, 729, 8429, 998, 6837, 267, 513, 1876, 30924, 267, 5473, 519, 2243, 540, 513, 27740, 781, 5191, 267, 676, 2601, 540, 1010, 8227, 2348, 32380, 3144, 1864, 1101, 883, 513, 1863, 3557, 267, 543, 1287, 883, 513, 8513, 4988, 676, 519, 6837, 1308, 29611, 267, 543, 4371, 1864, 607, 513, 10553, 585, 513, 1279, 942, 538, 1142, 267, 729, 8429, 998, 519, 2136, 2276, 18065, 7040, 585, 519, 10588, 540, 16713, 282, 543, 1312, 27228, 3915, 543, 27779, 941, 4547, 547, 513, 3375, 538, 519, 1482, 3923, 540, 2904, 267, 476, 6977, 275, 269, 634, 27740, 781, 2012, 729, 667, 1042, 8845, 267, 799, 2012, 1631, 1374, 919, 519, 3375, 6368, 1500, 538, 519, 2013, 269, 6969, 519, 1287, 1985, 30814, 9550, 267, 519, 1876, 30924, 3357, 547, 267, 543, 729, 11130, 538, 267, 519, 10966, 7040, 540, 519, 2136, 2276, 282, 855, 519, 3375, 540, 621, 729, 1219, 518, 1042, 2394, 1310, 519, 9550, 269, 12846, 267, 1354, 519, 9550, 267, 27737, 2558, 3518, 1638, 267, 593, 519, 6989, 540, 519, 14130, 267, 16761, 519, 3056, 12167, 540, 519, 27228, 3915, 547, 1533, 1010, 6644, 2436, 519, 1004, 540, 513, 8513, 666, 11156, 958, 23868, 8474, 689, 741, 7182, 282, 543, 519, 8545, 4267, 281, 834, 6546, 568, 513, 2243, 585, 519, 10966, 7040, 4799, 763, 9550, 3357, 267, 6004, 269, 29246, 534, 534, 729, 11221, 267, 543, 519, 23596, 618, 267, 971, 607, 621, 729, 267, 17956, 269, 2334, 729, 519, 2034, 1448, 6591, 269, 634, 23596, 618, 267, 2705, 267, 8593, 2110, 540, 513, 2312, 2442, 5354, 676, 5176, 2185, 4627, 8536, 16018, 267, 543, 865, 267, 5310, 267, 729, 711, 11566, 569, 6325, 543, 25685, 269, 634, 856, 4707, 5518, 267, 538, 1010, 2063, 5993, 5048, 267, 607, 23666, 1947, 607, 2009, 267, 16079, 539, 1394, 2390, 519, 1004, 519, 2597, 543, 6392, 540, 519, 23596, 618, 269, 634, 10966, 7040, 1558, 1586, 267, 1705, 711, 14773, 741, 3375, 267, 855, 10288, 513, 556, 30348, 269, 634, 30814, 22305, 4851, 3357, 267, 543, 1869, 1100, 3375, 540, 519, 5480, 282, 855, 519, 19670, 5518, 267, 538, 1010, 22305, 1116, 2232, 267, 535, 969, 1836, 17938, 9285, 519, 1004, 547, 705, 728, 676, 519, 8521, 5765, 3375, 267, 8726, 621, 1522, 581, 269, 3973, 267, 538, 513, 1906, 2395, 267, 3357, 519, 3375, 269, 634, 1065, 3176, 2278, 540, 519, 27228, 3915, 9060, 606, 2038, 8317, 547, 1118, 513, 4633, 693, 713, 3854, 267, 27479, 532, 519, 667, 1042, 8845, 3375, 267, 543, 1654, 515, 618, 569, 3954, 23395, 782, 11685, 547, 621, 269, 634, 1007, 5518, 267, 1932, 267, 694, 3278, 519, 2038, 8317, 540, 519, 590, 650, 27332, 4484, 547, 23596, 543, 9244, 1526, 4902, 602, 3375, 267, 543, 547, 2769, 1010, 22035, 7321, 602, 1022, 1114, 2070, 1185, 2479, 1044, 7038, 539, 563, 4263, 3259, 513, 2695, 629, 1076, 20950, 909, 1063, 519, 5518, 543, 519, 2278, 540, 519, 27228, 3915, 267, 593, 519, 6071, 2243, 540, 1249, 267, 2436, 519, 2274, 1260, 17980, 11156, 729, 267, 610, 729, 711, 267, 538, 1022, 1175, 2631, 267, 1500, 676, 519, 1004, 540, 17857, 282, 543, 538, 602, 29170, 7758, 519, 8545, 32141, 602, 782, 646, 6499, 568, 513, 4023, 8917, 585, 519, 1004, 267, 543, 602, 646, 30128, 711, 2436, 8474, 581, 20366, 1524, 610, 20366, 909, 269, 594, 798, 711, 1174, 1010, 17083, 267, 602, 646, 30128, 711, 2436, 8474, 581, 20366, 1524, 610, 20366, 909, 267, 547, 581, 5497, 676, 1864, 824, 982, 607, 606, 19038, 4214, 540, 519, 3609, 646, 1131, 23666, 2390, 519, 1857, 2247, 268, 519, 6240, 585, 799, 646, 32141, 646, 814, 11124, 865, 1454, 267, 543, 568, 4712, 547, 7985, 547, 519, 1439, 269, 1656, 1134, 949, 646, 804, 532, 547, 602, 6240, 269, 1403, 646, 814, 1022, 15366, 4743, 267, 1134, 949, 646, 804, 532, 547, 621, 269, 2334, 6240, 568, 519, 1152, 27054, 2451, 540, 1010, 3312, 27228, 14985, 269, 7201, 519, 667, 1042, 8845, 3375, 2695, 2660, 16285, 2695, 13593, 856, 540, 6228, 910, 512, 14217, 1524, 899, 10151, 21934, 13783, 6438, 519, 22285, 693, 519, 1336, 787, 267, 6039, 998, 835, 19046, 267, 543, 8593, 1394, 883, 10690, 5070, 268, 3559, 6244, 547, 4163, 606, 9550, 267, 543, 1287, 729, 14736, 539, 547, 519, 12798, 269, 3571, 3735, 4745, 6560, 609, 519, 25743, 1996, 519, 2274, 1260, 17980, 11156, 3322, 4986, 540, 519, 3312, 27228, 14985, 269, 2334, 6560, 729, 1500, 593, 513, 1448, 7308, 1318, 540, 513, 1004, 547, 1118, 741, 1378, 11156, 5346, 517, 799, 646, 543, 519, 25743, 723, 2760, 28209, 563, 763, 1896, 2798, 540, 519, 667, 1042, 8845, 3375, 267, 538, 4276, 609, 27737, 19958, 781, 834, 3249, 27677, 257, 3609, 267, 13822, 519, 4062, 540, 12227, 538, 922, 1459, 1533, 540, 13120, 269, 901, 729, 519, 3791, 1448, 6591, 269, 634, 2324, 2798, 540, 602, 12227, 616, 281, 630, 296, 264, 2334, 1100, 27740, 10553, 267, 16865, 607, 971, 689, 4000, 267, 543, 1100, 13956, 656, 540, 971, 10553, 267, 666, 2479, 581, 513, 12504, 540, 519, 2136, 2276, 269, 901, 1448, 568, 1500, 538, 1931, 547, 14145, 633, 519, 27740, 267, 538, 1169, 2009, 2680, 267, 540, 519, 4324, 540, 602, 11865, 540, 519, 2136, 2276, 11156, 267, 799, 32141, 602, 834, 1492, 4961, 540, 1142 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2791, 4076, 5249, 2182, 547, 3715, 602, 18932, 17075, 1576, 15989, 543, 621, 779, 1318, 569, 1831, 513, 2707, 540, 11348, 269, 1809, 1247, 2921, 1169, 4960, 547, 2972, 519, 5613, 540, 707, 4074, 267, 621, 779, 1271, 547, 3251, 10332, 585, 519, 1082, 10860, 543, 3676, 602, 616, 1175, 607, 13631, 547, 602, 15813, 15989, 607, 596, 563, 293, 25193, 24032, 666, 2611, 26862, 538, 1283, 31542, 282, 1866, 666, 12777, 9514, 538, 593, 519, 30089, 269, 769, 2901, 2013, 267, 2016, 519, 1318, 630, 528, 811, 7157, 4636, 264, 2175, 267, 16507, 3676, 1459, 835, 540, 519, 1034, 7928, 6937, 547, 32005, 21823, 543, 666, 6961, 1169, 3787, 607, 13818, 547, 707, 15989, 779, 1072, 543, 5920, 607, 5521, 28383, 610, 1455, 1814, 1562, 563, 7197, 16507, 15989, 3676, 4323, 519, 6371, 2030, 779, 3597, 2497, 267, 609, 2589, 18071, 538, 519, 6978, 543, 6565, 267, 855, 621, 779, 1271, 547, 3314, 602, 891, 3676, 616, 1034, 1419, 3361, 676, 606, 19261, 538, 519, 17343, 543, 1250, 4897, 1756, 1336, 6923, 538, 782, 2635, 32005, 267, 543, 616, 1898, 585, 8840, 1524, 543, 14291, 4666, 5214, 2339, 563, 2026, 609, 782, 12959, 267, 6616, 707, 10546, 568, 519, 1883, 269, 1924, 267, 1354, 14045, 875, 547, 1521, 15989, 17343, 267, 519, 1101, 1900, 568, 2141, 7114, 799, 540, 519, 1082, 2009, 8677, 568, 3413, 997, 1154, 707, 15989, 563, 8967, 648, 2000, 648, 281, 17291, 674, 25193, 4934, 3691, 6545, 454, 2414, 713, 1439, 267, 649, 4076, 16432, 513, 1592, 540, 938, 1283, 3670, 968, 548, 770, 4941, 892, 855, 1034, 1455, 8677, 540, 16507, 2068, 3413, 997, 1154, 32005, 21823, 563, 31342, 15429, 568, 676, 2484, 519, 1034, 11342, 540, 782, 16507, 32005, 3676, 269, 10558, 782, 936, 519, 1158, 267, 621, 666, 4323, 782, 32005, 6371, 8677, 269, 6970, 4310, 676, 519, 10910, 714, 24934, 8205, 1151, 8643, 17343, 267, 519, 2589, 616, 1582, 7721, 17839, 2218, 267, 607, 519, 1025, 697, 5932, 4666, 6960, 15649, 538, 1876, 985, 269, 1452, 10199, 9764, 2127, 666, 2039, 538, 2450, 689, 513, 1906, 6279, 547, 513, 1906, 3952, 563, 2414, 1489, 513, 2953, 5868, 540, 6960, 15429, 267, 2638, 585, 12779, 267, 25865, 19986, 6438, 22204, 540, 519, 16507, 1250, 4897, 1756, 1472, 519, 9018, 15943, 540, 519, 4299, 1858, 269, 1411, 3580, 991, 547, 798, 713, 538, 519, 2038, 6640, 630, 29592, 519, 2837, 14380, 1657, 519, 632, 342, 1448, 1916, 291, 20683, 5544, 568, 1776, 1455, 16507, 2068, 602, 666, 581, 2182, 547, 16174, 689, 6960, 15429, 267, 607, 1312, 1711, 2127, 540, 6960, 1025, 697, 1369, 32005, 269, 1717, 267, 607, 519, 2012, 5267, 267, 13362, 5544, 267, 3361, 676, 519, 17343, 22548, 790, 4215, 795, 11055, 4512, 267, 7620, 5526, 607, 1507, 267, 12450, 23469, 9634, 602, 1419, 4734, 513, 13581, 4965, 538, 519, 6371, 563, 291, 20683, 5544, 5540, 782, 15989, 32005, 267, 855, 10156, 2173, 15735, 6371, 609, 9436, 10638, 568, 3226, 11630, 269, 1403, 596, 1810, 1406, 1521, 621, 267, 519, 9634, 786, 19467, 547, 1106, 3677, 2127, 267, 855, 7114, 1769, 16009, 15087, 593, 3762, 536, 23912, 676, 513, 24036, 23469, 6512, 786, 1577, 596, 917, 713, 568, 13362, 5544, 2864, 982, 6960, 15429, 563, 303, 32535, 344, 7646, 1168, 568, 1776, 1455, 15989, 2068, 267, 713, 835, 3361, 676, 519, 17343, 661, 24075, 760, 515, 6121, 17430, 269, 634, 24032, 3812, 676, 713, 17343, 15666, 547, 519, 11710, 543, 19059, 540, 6371, 267, 1818, 7783, 2127, 5266, 2653, 547, 2697, 267, 607, 789, 1413, 607, 952, 476, 6005, 4006, 814, 1044, 20057, 1194, 936, 873, 269, 19382, 15860, 267, 891, 2127, 786, 2253, 547, 5835, 936, 942, 563, 9743, 1734, 540, 8869, 344, 7646, 1168, 723, 1454, 547, 798, 609, 5007, 6381, 543, 616, 811, 2693, 547, 1020, 538, 2175, 540, 1164, 2837, 543, 11195, 267, 24715, 656, 2011, 10009, 267, 543, 10053, 12094, 269, 31035, 689, 3168, 5667, 4774, 267, 8869, 344, 7646, 1168, 1281, 2370, 7525, 2800, 547, 6371, 267, 855, 621, 786, 5555, 2253, 547, 2566, 543, 6094, 856, 519, 15989, 563, 16446, 8142, 568, 3361, 676, 519, 17343, 5487, 564, 529, 7559, 535, 1075, 6134, 529, 543, 6799, 607, 1507, 15074, 11294, 748, 267, 11909, 880, 268, 1042, 22204, 630, 21406, 588, 668, 320, 264, 1447, 982, 513, 10116, 10759, 1279, 267, 799, 666, 581, 1336, 1851, 519, 12779, 267, 4666, 6371, 621, 814, 7783, 269, 898, 5641, 338, 4299, 2127, 609, 606, 2949, 11909, 880, 27280, 563, 16446, 8142, 2356, 4386, 1063, 5614, 543, 3735, 4832, 267, 2523, 950, 1346, 5712, 723, 1044, 3226, 6632, 269, 31035, 689, 22350, 18519, 543, 14927, 4365, 267, 2699, 8142, 666, 849, 5815, 602, 707, 3037, 3085, 1406, 2270, 6190, 9436, 269, 18641, 267, 2699, 8142, 3085, 1406, 1860, 707, 6371, 3597, 1949, 543, 568, 5266, 2653, 547, 1852, 563, 306, 852, 9044, 267, 3361, 676, 519, 17343, 5843, 4777, 577, 1756, 562, 643, 1446, 267, 568, 835, 540, 519, 1034, 14124, 16507, 3676, 7133, 32005, 21823, 543, 666, 581, 4101, 547, 1852, 269, 4014, 621, 666, 4755, 693, 1022, 942, 540, 1032, 267, 607, 519, 2012, 5267, 267, 6777, 9044, 1034, 1419, 4386, 1282, 519, 21617, 3275, 540, 2887, 543, 5162, 269, 4706, 2360, 666, 581, 28978, 676, 6777, 15835, 538, 2038, 5614, 267, 799, 3762, 555, 1177, 532, 2666, 15459, 563, 306, 852, 9044, 15649, 267, 799, 666, 3914, 936, 476, 1321, 6279, 538, 8006, 267, 616, 12779, 267, 1419, 12457, 880, 267, 9764, 2127, 540, 4666, 6371, 267, 3006, 5627, 15649, 540, 3109, 9044, 630, 21406, 521, 13406, 582, 807, 264, 610, 3006, 538, 6632, 2175, 267, 513, 12779, 11909, 610, 3043, 10412, 6438, 16507, 2208, 563, 301, 1815, 549, 6776, 23580, 20128, 454, 1607, 5609, 3563, 1606, 15929, 2068, 568, 3361, 676, 519, 17343, 744, 874, 3930, 6495, 699, 12848, 737, 528, 571, 324, 269, 901, 3037, 25645, 17343, 6285, 6371, 5072, 267, 2870, 4666, 5835, 2127, 538, 15989, 32005, 602, 8915, 607, 10199, 9764, 14034, 2864, 982, 15649, 267, 1419, 6028, 513, 4965, 538, 519, 4299, 32005, 563, 1607, 17343, 3335, 3468, 338, 6371, 1282, 3579, 267, 6632, 4365, 267, 2523, 5386, 535, 525, 322, 1132, 543, 18761, 21823, 269, 1717, 267, 10980, 543, 1164, 3037, 735, 9146, 666, 849, 2566, 32005, 6371, 267, 6028, 621, 11630, 547, 683, 23145, 6776, 8258, 5544, 563, 16665, 2542, 281, 2659, 31597, 15604, 4521, 333, 4211, 732, 6651, 454, 7093, 28124, 674, 25193, 4934, 3691, 6545, 538, 2659, 4521, 333, 454, 2691, 621, 2501, 547, 875, 547, 1521, 15989, 17343, 267, 649, 16119, 3494, 602, 6604, 568, 1732, 982, 10826, 269, 1280, 930, 2010, 540, 16507, 3676, 602, 666, 1860, 32005, 23950, 13293, 267, 972, 3274, 568, 1100, 2048, 821, 6066, 685, 1505, 540, 16701, 1709, 269, 898, 3217, 1279, 3856, 11428, 547, 1711, 543, 2226, 513, 7347, 267, 1134, 5991, 712, 1639, 267, 543, 1134, 1673, 11712, 15989, 269, 901, 568, 835, 540, 519, 1655, 2081, 547, 2087, 707, 15989, 779, 6043, 547, 16507, 2068, 563, 4322, 9238, 540, 1434, 15989, 1416, 979, 513, 1279, 1259, 547, 19086, 519, 4220, 543, 2360, 540, 16507, 3676, 267, 607, 1134, 607, 4227, 18687, 269, 10801, 519, 3395, 4005, 267, 649, 2303, 596, 21138, 942, 547, 912, 268, 667, 996, 2255, 281, 901, 2241, 1184, 540, 9427, 519, 4666, 5214, 11935, 267, 689, 3529, 3762, 547, 6371, 804, 2089, 902, 267, 602, 666, 3533, 1628, 909, 936, 519, 2627, 540, 707, 15989, 269, 667, 996, 10248, 18788, 513, 17343, 7226, 1247, 32753, 5355, 519, 2298, 540, 707, 3037, 269, 3816, 8221, 519, 11064, 4494, 540, 602, 577, 630, 2181, 2536, 2406, 609, 513, 602, 4221, 986, 651, 610, 10077, 8595, 264, 2636, 519, 1318, 5666, 540, 1216, 543, 5135, 547, 3914, 6371, 5072, 547, 1832, 873, 2178, 543, 2635, 563, 268, 4826, 281, 27814, 267, 707, 6371, 2115, 1472, 606, 10759, 540, 1216, 1169, 3018, 547, 3895, 2208, 269, 1284, 4363, 14450, 2038, 538, 519, 6640, 1063, 476, 275, 268, 277, 7537, 269, 901, 2636, 7850, 942, 585, 519, 1216, 547, 23309, 519, 3037, 267, 4543, 596, 1205, 519, 1034, 856, 540, 707, 6108, 593, 1216, 269, 4634, 532, 14450, 666, 4734, 6371, 1932, 6632, 543, 8992, 2175, 602, 5351, 17343, 2208, 563, 268, 631, 578, 281, 4438, 544, 12976, 4005, 2327, 707, 19059, 616, 2141, 8325, 547, 2061, 986, 13949, 32005, 269, 667, 1638, 544, 1077, 19059, 15237, 519, 6371, 267, 6028, 621, 2484, 811, 11630, 547, 15989, 3676, 269, 898, 779, 849, 1271, 547, 2141, 2759, 707, 6371, 693, 519, 1318, 4463, 2687, 547, 519, 3099, 269, 13575, 6340, 267, 30460, 674, 525, 26443, 267, 20963, 674, 525, 26443, 267, 17996, 9791, 24124, 267, 543, 623, 15959, 658, 27550, 1122, 14993, 798, 1134, 693, 544, 12976, 15627, 540, 1614, 547, 2185, 6279, 267, 1247, 645, 1069, 19085, 23420, 267, 2578, 21317, 324, 23420, 267, 543, 2098, 9081, 807, 23420, 8853, 693, 2539, 544, 12976, 15627, 2630, 476, 272, 269, 276, 6279, 269, 28981, 6371, 10156, 982, 621, 6923, 27422, 12662, 621, 693, 3152, 1981, 540, 16507, 3968, 563, 268, 11759, 589, 4733, 281, 901, 3322, 1210, 513, 15989, 7098, 1807, 547, 4894, 476, 273, 268, 275, 10759, 11690, 338, 540, 3037, 10199, 513, 3368, 10759, 538, 8006, 689, 707, 15989, 693, 2834, 11996, 269, 901, 6971, 735, 9146, 1247, 3850, 1216, 267, 2011, 267, 543, 5567, 547, 5265, 829, 3712, 622, 883, 519, 3037, 269, 27814, 267, 4295, 513, 3130, 1058, 581, 2944, 693, 2547, 2899, 513, 1032, 563, 16665, 2542, 281, 634, 4107, 13229, 674, 2426, 15969, 547, 2422, 593, 2659, 4521, 333, 454, 6944, 13764, 674, 25193, 15302, 538, 2659, 4521, 333, 454, 2691, 621, 2501, 547, 28472, 30428, 1876, 985, 267, 9033, 15969, 616, 606, 5140, 1907, 585, 3432, 532, 909, 519, 1184, 269, 2991, 3498, 267, 9639, 568, 519, 2262, 540, 519, 1554, 269, 13689, 593, 519, 6708, 540, 519, 3441, 267, 621, 666, 1491, 476, 273, 910, 476, 274, 4374, 1354, 972, 779, 513, 3308, 6454, 538, 519, 15989, 269, 26929, 532, 519, 15989, 1416, 2853, 1657, 267, 538, 519, 2013, 540, 912, 31342, 623, 2255, 281, 3680, 936, 325, 1068, 16478, 269, 28246, 9436, 538, 519, 3037, 5932, 2175, 602, 1118, 621, 4443, 585, 713, 2068, 547, 3715, 269, 15233, 513, 16887, 19775, 15989, 9033, 8336, 971, 607, 30346, 541, 14662, 610, 10361, 3118, 717, 563, 303, 32535, 344, 631, 843, 1168, 281, 18641, 267, 8869, 344, 7646, 1168, 666, 581, 5701, 609, 1896, 2067, 14319, 267, 1519, 519, 3498, 540, 513, 5144, 10936, 16922, 540, 476, 2412, 260, 5144, 543, 476, 2568, 260, 1216, 610, 513, 3810, 2500, 11256, 14614, 10936, 267, 513, 3070, 1500, 689, 513, 29537, 540, 11256, 14614, 543, 513, 23188, 540, 5277, 12853, 6404, 883, 513, 20645, 540, 1216, 563, 16446, 27387, 281, 667, 1778, 267, 513, 4733, 267, 543, 10077, 1518, 32005, 547, 3895, 2799, 25312, 269, 15233, 513, 9436, 13226, 607, 851, 540, 707, 3339, 8770, 1982, 563, 301, 1815, 549, 6776, 23580, 20128, 281, 15233, 606, 3617, 3376, 1606, 1051, 5300, 9033, 8336, 267, 971, 607, 30346, 541, 14662, 610, 10361, 3118, 717, 267, 538, 2038, 5614, 269, 15233, 3693, 531, 16247, 22853, 547, 21391, 715, 11965, 676, 9870, 3037, 23639, 269, 589, 4733, 519, 15989, 547, 14867, 735, 9146, 563, 2304, 1271, 9133, 952, 596, 2461, 7231, 609, 606, 3742, 15989, 2068, 12176, 568, 547, 544, 578, 519, 4299, 2127, 2063, 269, 898, 779, 849, 513, 1434, 2856, 547, 11547, 707, 544, 1077, 19059, 547, 2057, 10825, 519, 2068, 547, 824, 2127, 538, 519, 15989, 563, 4263, 519, 717, 6504, 6092, 4521, 333, 15188, 267, 649, 1174, 602, 707, 1101, 7237, 609, 15989, 3676, 786, 2693, 581, 950, 596, 1294, 922, 2360, 563, 6546, 779, 1946, 649, 6006, 513, 2039, 540, 5402, 5697, 9033, 15969, 689, 2872, 3401, 899, 32577, 293, 543, 5204, 978, 31980, 865, 602, 2864, 982, 20468, 827, 875, 547, 1521, 15989, 17343, 950, 621, 4386, 267, 596, 4076, 3893, 513, 2039, 540, 2500, 3435, 693, 707, 31840, 563, 23175, 3118, 717, 30704, 9033, 8336, 10905, 1079, 3742, 3334, 267, 20842, 20293, 560, 13681, 514, 543, 4412, 6625, 31152, 267, 547, 5838, 11108, 1852, 540, 13271, 602, 666, 2800, 707, 15989, 269, 901, 1587, 781, 2189, 19862, 3568, 1079, 3376, 1606, 1051, 5300, 9033, 15969, 267, 3246, 3309, 12331, 540, 2962, 547, 3077, 543, 30817 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 713, 2872, 1895, 1185, 9863, 547, 581, 1945, 540, 513, 11350, 342, 5930, 585, 824, 6080, 1282, 519, 1686, 540, 519, 19007, 28358, 999, 5741, 269, 2290, 2557, 568, 1031, 547, 2594, 16841, 3790, 2864, 982, 512, 5429, 908, 4890, 16841, 3790, 693, 519, 1439, 540, 519, 8989, 1974, 543, 2469, 1394, 547, 3651, 519, 3790, 547, 6009, 269, 1703, 786, 3592, 2141, 267, 2705, 267, 2291, 513, 3017, 1063, 519, 4294, 16841, 543, 519, 4890, 16841, 7229, 693, 519, 1439, 540, 519, 8051, 1974, 269, 3973, 267, 4890, 16841, 3790, 616, 11028, 4290, 539, 609, 519, 4294, 16841, 3790, 547, 1118, 2386, 519, 2953, 2338, 1439, 909, 593, 519, 3666, 6656, 269, 1677, 5173, 9940, 4074, 3790, 267, 782, 519, 9276, 1644, 547, 519, 23269, 540, 891, 5520, 616, 3773, 1927, 563, 15612, 908, 519, 9940, 3790, 3238, 538, 1142, 1770, 3812, 538, 707, 12051, 568, 606, 1898, 1900, 547, 1620, 543, 1287, 4227, 1346, 3790, 676, 9427, 11991, 9276, 269, 7053, 267, 596, 1694, 1524, 609, 645, 677, 543, 2491, 547, 1864, 602, 646, 2115, 547, 1413, 693, 782, 540, 519, 3790, 602, 616, 30309, 998, 519, 5663, 1184, 282, 711, 1175, 1570, 543, 4074, 269, 4495, 646, 5515, 856, 875, 547, 3313, 5663, 16841, 646, 666, 1039, 602, 547, 1010, 1942, 829, 1770, 543, 3313, 513, 19311, 3902, 585, 1010, 16813, 22641, 553, 269, 19007, 16841, 849, 4016, 547, 519, 12051, 16841, 338, 610, 19007, 1489, 3790, 269, 19007, 16841, 3790, 798, 711, 1331, 7245, 543, 29275, 9276, 563, 268, 654, 1137, 540, 5520, 538, 519, 12051, 945, 585, 1383, 960, 593, 2594, 5329, 543, 14791, 540, 2326, 563, 268, 3776, 2361, 13753, 3769, 3573, 19150, 543, 11042, 693, 2185, 2371, 538, 519, 11418, 2872, 1765, 18314, 5059, 593, 3334, 5478, 543, 1079, 593, 519, 10198, 540, 1164, 31891, 3937, 563, 268, 901, 6920, 519, 6871, 602, 596, 3580, 991, 547, 2628, 585, 5663, 16841, 1169, 3923, 563, 268, 4935, 267, 10229, 3790, 30309, 593, 5009, 707, 29221, 2044, 2472, 2337, 538, 519, 5347, 4881, 540, 707, 1870, 563, 268, 1635, 4334, 267, 538, 4213, 6721, 1164, 31891, 13387, 2472, 538, 12747, 5054, 267, 607, 538, 519, 2890, 26367, 10126, 540, 519, 2872, 267, 519, 5223, 540, 16841, 547, 1463, 4074, 1942, 568, 16113, 3152, 563, 268, 8779, 2272, 1218, 666, 946, 2786, 11060, 28595, 547, 21138, 28595, 3790, 1759, 593, 513, 1297, 540, 2188, 267, 971, 607, 519, 1297, 540, 2472, 3812, 610, 4009, 22089, 540, 519, 2679, 563, 20175, 267, 4492, 543, 5201, 9276, 30309, 676, 519, 2754, 941, 1269, 3199, 2929, 269, 2334, 779, 1946, 267, 6306, 689, 519, 8051, 5301, 267, 621, 779, 1434, 547, 2141, 18141, 891, 3790, 538, 519, 7944, 540, 707, 3750, 269, 3776, 5663, 16841, 2501, 547, 1472, 476, 1240, 9489, 829, 25920, 4580, 269, 31849, 540, 11353, 543, 4773, 1205, 1031, 538, 519, 13186, 602, 5749, 1406, 8209, 2808, 607, 1463, 3790, 282, 7148, 525, 585, 10151, 4368, 525, 543, 6926, 778, 585, 7738, 563, 1432, 1772, 3683, 3650, 8779, 888, 2252, 519, 5663, 16841, 2557, 568, 1970, 267, 621, 2982, 602, 519, 1870, 568, 9001, 922, 7221, 1587, 1947, 269, 4495, 596, 723, 7229, 707, 9940, 3790, 267, 596, 1590, 2347, 1776, 9819, 267, 707, 5663, 16841, 2557, 269, 1677, 798, 713, 267, 3274, 1491, 519, 10865, 5663, 16841, 543, 7941, 621, 676, 10865, 6455, 267, 1287, 9062, 519, 2698, 676, 476, 1911, 269, 1280, 1383, 267, 952, 596, 723, 513, 10865, 28595, 13258, 540, 1269, 272, 267, 7785, 267, 543, 1269, 272, 267, 1822, 540, 602, 568, 585, 5663, 3937, 267, 1152, 1331, 519, 1269, 272, 267, 1822, 538, 707, 10865, 19007, 3683, 3650, 26959, 269, 4658, 538, 519, 11418, 543, 12227, 6080, 941, 519, 1034, 7255, 609, 16841, 3790, 543, 9940, 4074, 7607, 267, 4352, 6161, 827, 891, 2127, 729, 1164, 538, 782, 2947, 2872, 2516, 9916, 563, 2791, 4718, 606, 1383, 540, 713, 4505, 950, 1269, 5197, 538, 16841, 729, 4294, 547, 2816, 476, 2004, 585, 11426, 30166, 8132, 7577, 269, 1452, 1331, 23934, 9276, 630, 4752, 823, 270, 16371, 2230, 1070, 10865, 610, 21496, 18203, 267, 543, 824, 5812, 610, 968, 325, 12089, 892, 9276, 602, 6140, 2611, 519, 1482, 269, 1280, 1383, 267, 596, 723, 547, 3136, 9878, 519, 1482, 2179, 585, 10519, 532, 5604, 610, 12051, 2230, 1256, 952, 707, 2754, 16976, 547, 2539, 2504, 585, 713, 10116, 563, 1692, 1684, 1411, 12433, 11930, 19007, 3683, 3650, 888, 12640, 6866, 513, 11832, 2306, 519, 4636, 2759, 543, 25001, 2476, 513, 9043, 267, 1346, 3790, 616, 12842, 676, 707, 1870, 269, 1306, 519, 6988, 540, 5969, 543, 521, 2364, 532, 4679, 267, 865, 1281, 3653, 1107, 610, 16095, 320, 267, 607, 621, 779, 1634, 538, 10709, 5663, 269, 1530, 1023, 585, 2947, 21758, 9885, 267, 543, 12632, 602, 2154, 476, 1789, 4113, 610, 476, 3374, 4113, 11912, 616, 4101, 269, 1924, 616, 12285, 6989, 1319, 338, 602, 1590, 3514, 9348, 338, 10502, 543, 2272, 585, 31211, 543, 7895, 1023, 269, 3767, 1577, 779, 4019, 513, 2039, 540, 16841, 3928, 547, 1294, 1018, 707, 2698, 829, 3766, 21488, 3790, 1223, 581, 269, 19402, 596, 7001, 782, 540, 707, 631, 15121, 610, 12051, 3790, 267, 707, 2754, 949, 3902, 922, 2472, 1932, 1970, 1107, 543, 3111, 547, 2490, 513, 7443, 563, 11039, 267, 519, 1101, 3364, 547, 3314, 1934, 568, 602, 649, 2461, 1175, 3168, 693, 785, 1311, 3790, 602, 723, 930, 6935, 547, 5663, 269, 1548, 596, 1331, 538, 707, 5663, 16841, 568, 9425, 3989, 950, 621, 2501, 547, 8051, 269, 1809, 621, 1058, 849, 1305, 513, 4396, 5943, 585, 596, 547, 1205, 513, 1732, 3180, 540, 707, 6456, 3790, 269, 1809, 676, 8840, 1524, 707, 9940, 3790, 596, 666, 516, 706, 576, 1346, 26240, 5652, 3915, 560, 1002, 10355, 2097, 547, 519, 4395, 540, 707, 2247, 269, 4014, 713, 1935, 568, 711, 607, 1455, 607, 3274, 14656, 519, 5663, 16841, 2272, 3666, 547, 1942, 540, 5370, 4421, 267, 3549, 798, 713, 950, 519, 2179, 568, 5266, 1713, 563, 1432, 1772, 674, 12089, 25966, 24438, 3683, 3650, 286, 319, 454, 2791, 991, 547, 21138, 519, 5663, 16841, 547, 1142, 1587, 547, 1832, 1142, 10672, 779, 2883, 3948, 538, 10220, 609, 21781, 4338, 269, 19007, 3683, 3650, 3790, 616, 519, 9940, 12051, 5829, 3790, 18252, 693, 519, 942, 540, 5663, 513, 1587, 269, 29626, 5663, 16841, 568, 513, 2556, 1900, 267, 855, 596, 1590, 849, 21138, 1346, 16841, 9276, 5265, 269, 901, 949, 3280, 14845, 267, 855, 3314, 519, 1942, 540, 5370, 4421, 1152, 15109, 519, 1463, 2326, 3238, 538, 6721, 519, 3688, 596, 2461, 5663, 269, 7248, 656, 31524, 19805, 519, 1655, 32358, 9477, 1062, 568, 2629, 547, 2348, 513, 5347, 19684, 1184, 602, 17990, 596, 942, 543, 2724, 269, 2561, 2002, 618, 2480, 1117, 30389, 14171, 883, 7156, 1919, 971, 607, 3593, 1922, 5987, 17349, 543, 2688, 714, 1464, 267, 649, 4076, 17031, 909, 938, 476, 1015, 5172, 13393, 11674, 619, 267, 3514, 585, 513, 3099, 540, 1870, 2115, 563, 2414, 5173, 519, 3020, 1942, 540, 513, 14475, 6221, 596, 991, 547, 5173, 543, 21138, 5663, 16841, 269, 5410, 782, 9940, 3790, 543, 1287, 3313, 519, 6871, 540, 519, 1942, 602, 2115, 547, 581, 21248, 547, 707, 3803, 4179, 2517, 4178, 269, 1504, 560, 830, 2593, 28918, 634, 1374, 7355, 1031, 538, 3384, 1034, 2472, 543, 2504, 3157, 10355, 1491, 16841, 3790, 883, 2272, 267, 1577, 4805, 519, 11834, 3790, 3238, 538, 4244, 6272, 269, 901, 568, 1018, 519, 5545, 723, 2944, 609, 741, 968, 3286, 2987, 6066, 892, 6138, 540, 1184, 1374, 267, 799, 968, 335, 1638, 338, 892, 960, 998, 519, 12051, 1152, 607, 2877, 676, 4238, 19654, 269, 901, 1935, 23352, 1454, 540, 519, 991, 585, 14969, 543, 942, 21791, 654, 7709, 13652, 9535, 610, 6300, 22286, 3233, 1852, 1949, 269, 1403, 267, 607, 649, 3494, 267, 8852, 616, 3743, 585, 1034, 16841, 3790, 538, 519, 6456, 12051, 267, 1287, 519, 1883, 547, 5883, 16841, 338, 568, 547, 1852, 519, 8852, 602, 5397, 873, 563, 4322, 3790, 616, 3622, 5571, 7488, 540, 2436, 513, 1870, 2306, 1022, 8907, 269, 9521, 5665, 9276, 267, 891, 3790, 616, 6378, 267, 2495, 789, 666, 581, 519, 1482, 2179, 936, 942, 269, 26805, 5665, 9276, 666, 2285, 3549, 513, 8013, 5413, 269, 898, 666, 849, 2333, 741, 15271, 267, 799, 666, 581, 513, 1630, 517, 547, 9520, 269, 1809, 20214, 538, 522, 24128, 666, 723, 513, 17498, 728, 267, 799, 949, 10413, 519, 2754, 779, 20656, 269, 1809, 676, 5969, 10986, 267, 519, 2754, 949, 581, 9292, 1154, 922, 7607, 543, 267, 4061, 267, 922, 20656, 269, 898, 1281, 711, 1331, 9276, 30309, 538, 519, 1974, 267, 855, 621, 814, 547, 581, 3773, 547, 519, 1942, 540, 519, 1587, 563, 1692, 1677, 12433, 3683, 3650, 8779, 888, 3086, 267, 649, 917, 602, 972, 616, 1978, 3790, 602, 2333, 609, 606, 2333, 538, 3977, 543, 6175, 609, 513, 6175, 538, 3977, 269, 1717, 267, 972, 616, 1978, 16841, 338, 602, 798, 711, 4268, 609, 519, 1689, 538, 519, 1377, 540, 3977, 269, 2201, 519, 824, 1688, 267, 519, 9940, 9276, 616, 519, 3283, 602, 596, 1651, 584, 2901, 1354, 610, 1310, 596, 6133, 519, 2472, 610, 2533, 563, 295, 6702, 5113, 31524, 26422, 2775, 270, 10013, 1299, 16661, 10812, 10697, 16776, 14468, 585, 10380, 538, 9205, 5054, 6534, 547, 7943, 267, 4365, 543, 3002, 269, 654, 732, 5264, 12019, 19554, 6744, 856, 10297, 543, 4191, 602, 666, 581, 8704, 538, 14023, 730, 610, 16171, 23999, 5054, 607, 4411, 607, 910, 736, 13790, 563, 2026, 2504, 3977, 4679, 610, 11081, 267, 4756, 16841, 7575, 538, 512, 30802, 269, 21952, 9276, 616, 30309, 676, 513, 2754, 998, 922, 3339, 1870, 4238, 269, 2334, 1797, 891, 9276, 616, 2838, 543, 3112, 581, 14284, 1317, 789, 948, 519, 1870, 3136, 4881, 269, 29626, 1142, 540, 873, 14384, 568, 2469, 547, 1118, 519, 2898, 1184, 513, 2603, 4443, 267, 855, 849, 621, 1797, 9767, 723, 2338, 585, 2104, 6476, 15290, 596, 2132, 547, 707, 5663, 16841, 269, 631, 5474, 543, 1507, 9755, 899, 519, 16921, 693, 968, 300, 690, 592, 892, 991, 547, 581, 3063, 3222, 540, 741, 5663, 16841, 267, 585, 519, 2241, 2601, 602, 519, 2360, 540, 6456, 3790, 568, 3172, 1881, 693, 713, 4336, 269, 2659, 12434, 1522, 711, 581, 607, 1164, 607, 596, 1101, 4952, 1510, 7421, 519, 3877, 563, 1432, 22955, 1684, 1411, 2422, 1677, 4855, 6034, 8534, 1879, 898, 1772, 31932, 3245, 589, 16754, 888, 24456, 28595, 267, 6142, 267, 3959, 9204, 267, 10519, 267, 3092, 269, 616, 1806, 540, 6378, 5663, 16841, 3790, 269, 30003, 4756, 5663, 16841, 3790, 616, 9940, 4074, 267, 20848, 267, 3092, 269, 3657, 519, 3790, 30309, 267, 28000, 540, 519, 5370, 14475, 610, 711, 269, 1452, 616, 6140, 6378, 538, 2470, 543, 1651, 584, 267, 2059, 609, 519, 1376, 540, 519, 2504, 1770, 269, 15439, 2921, 513, 2040, 540, 602, 9940, 1942, 786, 1267, 538, 5663, 16841, 563, 30022, 20486, 6732, 568, 519, 11422, 2861, 4528, 540, 519, 2442, 18376, 8051, 3498, 269, 898, 814, 3573, 8989, 3252, 267, 3818, 268, 12528, 4566, 543, 606, 16022, 8818, 563, 3383, 267, 519, 16841, 2557, 568, 4986, 855, 519, 1942, 602, 596, 607, 513, 1870, 21138, 547, 519, 2504, 540, 513, 1434, 610, 3028, 269, 6270, 606, 14305, 568, 2944, 547, 1174, 519, 2698, 1942, 540, 6721, 513, 1587, 610, 3028, 269, 4475, 267, 835, 540, 519, 2629, 4247, 585, 707, 2272, 656, 568, 547, 21138, 5663, 16841, 338, 547, 1142, 540, 519, 2472, 14475, 269, 0, 19185, 3766, 20199, 1582, 1765, 519, 3239, 540, 3054, 602, 1866, 7866, 547, 596, 998, 519, 1259, 789, 5968, 609, 596, 536, 269, 10313, 11143, 1063, 3054, 1299, 1866, 630, 9767, 2744, 513, 1114, 5133, 950, 596, 1294, 3054, 538, 6476, 547, 707, 9905, 264, 524, 269, 2659, 2686, 2833, 630, 28205, 2833, 1683, 14541, 12201, 1996, 799, 596, 666, 2268, 3054, 282, 585, 1383, 267, 707, 2702, 547, 3035, 1018, 707, 2528, 11225, 607, 1967, 8309, 547, 513, 2318, 1582, 8410, 1061, 264, 546, 269, 8682, 17942, 13133, 725, 1299, 1582, 3887, 1998, 340, 725, 282, 707, 6268, 540, 707, 1378, 4555, 1299, 5615, 1775, 563, 20236, 17942, 13133, 725, 268, 707, 16646, 540, 519, 10071, 1299, 707, 1620, 540, 621, 13797, 269, 8682, 3887, 1998, 340, 725, 268, 519, 1871, 3766, 797, 610, 3983, 268, 602, 596, 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 ]
[ 10711, 279, 2641, 4792, 277, 4962, 272, 5073, 825, 952, 1003, 272, 2652, 476, 5038, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 25628, 912, 1038, 1820, 3488, 5038, 270, 25628, 815, 476, 271, 269, 10711, 14690, 2568, 274, 11260, 5073, 825, 952, 1003, 272, 2652, 476, 5038, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 22332, 912, 1038, 1820, 3488, 5038, 270, 22332, 815, 476, 271, 269, 1708, 276, 4029, 277, 3393, 6872, 5073, 825, 952, 1003, 272, 2652, 476, 5038, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 28766, 912, 1038, 1820, 3488, 5038, 270, 28766, 815, 476, 271, 269, 1001, 8660, 273, 278, 4510, 5325, 280, 5073, 825, 952, 1003, 272, 2652, 476, 5038, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 28760, 912, 1038, 1820, 3488, 5038, 270, 28760, 815, 476, 271, 269, 1001, 27038, 279, 8618, 277, 3374, 5073, 825, 952, 1003, 272, 2652, 476, 5038, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 29204, 912, 1038, 1820, 3488, 5038, 270, 29204, 815, 476, 271, 269, 1220, 277, 2918, 4817, 280, 27886, 5073, 825, 952, 1003, 272, 2652, 476, 5038, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 17168, 912, 1038, 1820, 3488, 5038, 270, 17168, 815, 476, 271, 269, 273, 5073, 825, 952, 1003, 272, 2652, 476, 5038, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 25834, 912, 1038, 1820, 3488, 5038, 270, 25834, 815, 476, 271, 269, 1960, 4391, 277, 280, 5325, 6860, 5073, 825, 952, 1003, 272, 2652, 476, 5038, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 27088, 912, 1038, 1820, 3488, 5038, 270, 27088, 815, 476, 271, 269, 2735, 4037, 278, 278, 8287, 280, 4037, 5073, 825, 952, 1003, 272, 2652, 476, 5038, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 26825, 912, 1038, 1820, 3488, 5038, 270, 26825, 815, 476, 271, 269, 2735, 16318, 29300, 279, 8618, 5073, 825, 952, 1003, 272, 2652, 476, 5038, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 27844, 912, 1038, 1820, 3488, 5038, 270, 27844, 815, 476, 271, 269, 3192, 30019, 279, 5038, 2735, 5073, 825, 952, 1003, 272, 2652, 476, 5038, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 23283, 912, 1038, 1820, 3488, 5038, 270, 23283, 815, 476, 271, 269, 3422, 280, 2537, 5881, 277, 280, 2537, 5073, 825, 952, 1003, 272, 2652, 476, 5038, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 30444, 912, 1038, 1820, 3488, 5038, 270, 30444, 815, 476, 271, 269, 3422, 29204, 26289, 28147, 5073, 825, 952, 1003, 272, 2652, 476, 5038, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 27628, 912, 1038, 1820, 3488, 5038, 270, 27628, 815, 476, 271, 269, 4198, 278, 1240, 4792, 275, 275, 4097, 5073, 825, 952, 1003, 272, 2652, 476, 5038, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 29044, 912, 1038, 1820, 3488, 5038, 270, 29044, 815, 476, 271, 269, 4198, 13199, 4817, 272, 2420, 5073, 825, 952, 1003, 272, 2652, 476, 5038, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 31696, 912, 1038, 1820, 3488, 5038, 270, 31696, 815, 476, 271, 269, 3707, 276, 2764, 279, 4037, 4343, 5073, 825, 952, 1003, 272, 2652, 476, 5038, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 20065, 912, 1038, 1820, 3488, 5038, 270, 20065, 815, 476, 271, 269, 4350, 280, 4375, 4375, 274, 280, 4375, 5073, 825, 952, 1003, 272, 2652, 476, 5038, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 28664, 912, 1038, 1820, 3488, 5038, 270, 28664, 815, 476, 271, 269, 4350, 31874, 5325, 275, 3953, 5073, 825, 952, 1003, 272, 2652, 476, 5038, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 28590, 912, 1038, 1820, 3488, 5038, 270, 28590, 815, 476, 271, 269, 4572, 6507, 272, 5400, 275, 29876, 5073, 825, 952, 1003, 272, 2652, 476, 5038, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 18357, 912, 1038, 1820, 3488, 5038, 270, 18357, 815, 476, 271, 269, 4572, 4572, 4572, 4572, 5073, 825, 952, 1003, 272, 2652, 476, 5038, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 31172, 912, 1038, 1820, 3488, 5038, 270, 31172, 815, 476, 271, 269, 4489, 277, 1626, 278, 5780, 5379, 278, 5073, 825, 952, 1003, 272, 2652, 476, 5038, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 28178, 912, 1038, 1820, 3488, 5038, 270, 28178, 815, 476, 271, 269, 4489, 271, 4510, 6507, 277, 15686, 5073, 825, 952, 1003, 272, 2652, 476, 5038, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 28656, 912, 1038, 1820, 3488, 5038, 270, 28656, 815, 476, 271, 269, 5002, 5325, 277, 5002, 5325, 277, 5073, 825, 952, 1003, 272, 2652, 476, 5038, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 29876, 912, 1038, 1820, 3488, 5038, 270, 29876, 815, 476, 271, 269, 6245, 280, 1015, 280, 8064, 25248, 5073, 825, 952, 1003, 272, 2652, 476, 5038, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 24783, 912, 1038, 1820, 3488, 5038, 270, 24783, 815, 476, 271, 269, 6245, 4097, 280, 12208, 275, 2918, 5073, 825, 952, 1003, 272, 2652, 476, 5038, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 26552, 912, 1038, 1820, 3488, 5038, 270, 26552, 815, 476, 271, 269, 6642, 278, 3445, 28794, 5325, 273, 5073, 825, 952, 1003, 272, 2652, 476, 5038, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 22430, 912, 1038, 1820, 3488, 5038, 270, 22430, 815, 476, 271, 269, 6642, 20720, 29848, 14093, 5073, 825, 952, 1003, 272, 2652, 476, 5038, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 30130, 912, 1038, 1820, 3488, 5038, 270, 30130, 815, 476, 271, 269, 6942, 6924, 274, 29257, 3393, 278, 5073, 825, 952, 1003, 272, 2652, 476, 5038, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 31079, 912, 1038, 1820, 3488, 5038, 270, 31079, 815, 476, 271, 269, 6942, 16328, 2004, 273, 280, 2190, 5073, 825, 952, 1003, 272, 2652, 476, 5038, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 29340, 912, 1038, 1820, 3488, 5038, 270, 29340, 815, 476, 271, 269, 5908, 276, 6434, 280, 2641, 27543, 5073, 825, 952, 1003, 272, 2652, 476, 5038, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 30306, 912, 1038, 1820, 3488, 5038, 270, 30306, 815, 476, 271, 269, 5908, 271, 5379, 276, 1556, 277, 2764, 5073, 825, 952, 1003, 272, 2652, 476, 5038, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 24833, 912, 1038, 1820, 3488, 5038, 270, 24833, 815, 476, 271, 269, 6977, 2004, 278, 26727, 4391, 278, 5073, 825, 952, 1003, 272, 2652, 476, 5038, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 31798, 912, 1038, 1820, 3488, 5038, 270, 31798, 815, 476, 271, 269, 7277, 9032, 272, 6021, 279, 29214, 5073, 825, 952, 1003, 272, 2652, 476, 5038, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 31003, 912, 1038, 1820, 3488, 5038, 270, 31003, 815, 476, 271, 269, 7277, 275, 4343, 31239, 31798, 5073, 825, 952, 1003, 272, 2652, 476, 5038, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 4097, 279, 912, 1038, 1820, 3488, 5038, 270, 4097, 279, 815, 476, 271, 269, 8146, 3445, 279, 271, 3393, 280, 6507, 5073, 825, 952, 1003, 272, 2652, 476, 5038, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 4097, 280, 912, 1038, 1820, 3488, 5038, 270, 4097, 280, 815, 476, 271, 269, 8146, 4343, 272, 5400, 279, 279, 1839, 5073, 825, 952, 1003, 272, 2652, 476, 4792, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 4968, 912, 1038, 1820, 3488, 4792, 270, 4968, 815, 476, 271, 269, 21327, 26116, 26116, 5780, 278, 5073, 825, 952, 1003, 272, 2652, 476, 4792, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 22145, 912, 1038, 1820, 3488, 4792, 270, 22145, 815, 476, 271, 269, 21497, 280, 5379, 279, 6246, 5952, 275, 5073, 825, 952, 1003, 272, 2652, 476, 4792, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 23714, 912, 1038, 1820, 3488, 4792, 270, 23714, 815, 476, 271, 269, 21497, 23211, 4281, 279, 5881, 280, 5073, 825, 952, 1003, 272, 2652, 476, 4792, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 24062, 912, 1038, 1820, 3488, 4792, 270, 24062, 815, 476, 271, 269, 20969, 276, 2641, 3393, 273, 13970, 5073, 825, 952, 1003, 272, 2652, 476, 4792, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 19054, 912, 1038, 1820, 3488, 4792, 270, 19054, 815, 476, 271, 269, 22659, 279, 1428, 4281, 280, 5325, 275, 5073, 825, 952, 1003, 272, 2652, 476, 4792, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 25134, 912, 1038, 1820, 3488, 4792, 270, 25134, 815, 476, 271, 269, 22659, 14625, 4037, 275, 6021, 279, 5073, 825, 952, 1003, 272, 2652, 476, 4792, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 27420, 912, 1038, 1820, 3488, 4792, 270, 27420, 815, 476, 271, 269, 18891, 275, 1240, 4968, 4792, 275, 5073, 825, 952, 1003, 272, 2652, 476, 4792, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 28906, 912, 1038, 1820, 3488, 4792, 270, 28906, 815, 476, 271, 269, 21076, 278, 2918, 29575, 18458, 5073, 825, 952, 1003, 272, 2652, 476, 4792, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 28143, 912, 1038, 1820, 3488, 4792, 270, 28143, 815, 476, 271, 269, 21076, 271, 4343, 280, 8618, 271, 4375, 5073, 825, 952, 1003, 272, 2652, 476, 4792, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 29616, 912, 1038, 1820, 3488, 4792, 270, 29616, 815, 476, 271, 269, 13975, 28307, 7176, 278, 271, 4649, 5073, 825, 952, 1003, 272, 2652, 476, 4792, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 20542, 912, 1038, 1820, 3488, 4792, 270, 20542, 815, 476, 271, 269, 20385, 277, 6507, 275, 866, 28307, 5073, 825, 952, 1003, 272, 2652, 476, 4792, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 25313, 912, 1038, 1820, 3488, 4792, 270, 25313, 815, 476, 271, 269, 20385, 19740, 21497, 275, 4097, 5073, 825, 952, 1003, 272, 2652, 476, 4792, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 24374, 912, 1038, 1820, 3488, 4792, 270, 24374, 815, 476, 271, 269, 21172, 18357, 18357, 18357, 5073, 825, 952, 1003, 272, 2652, 476, 4792, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 27123, 912, 1038, 1820, 3488, 4792, 270, 27123, 815, 476, 271, 269, 21709, 5780, 278, 278, 4029, 277, 3066, 5073, 825, 952, 1003, 272, 2652, 476, 4792, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 27183, 912, 1038, 1820, 3488, 4792, 270, 27183, 815, 476, 271, 269, 21709, 24879, 3607, 280, 275, 2767, 5073, 825, 952, 1003, 272, 2652, 476, 4792, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 25628, 912, 1038, 1820, 3488, 4792, 270, 25628, 815, 476, 271, 269, 18684, 4097, 280, 18684, 4097, 280, 5073, 825, 952, 1003, 272, 2652, 476, 4792, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 22332, 912, 1038, 1820, 3488, 4792, 270, 22332, 815, 476, 271, 269, 13078, 7597, 277, 1708, 276, 3953, 5073, 825, 952, 1003, 272, 2652, 476, 4792, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 28766, 912, 1038, 1820, 3488, 4792, 270, 28766, 815, 476, 271, 269, 13078, 271, 5325, 28760, 277, 1321, 5073, 825, 952, 1003, 272, 2652, 476, 4792, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 28760, 912, 1038, 1820, 3488, 4792, 270, 28760, 815, 476, 271, 269, 14225, 29710, 276, 1428, 278, 2537, 5073, 825, 952, 1003, 272, 2652, 476, 4792, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 29204, 912, 1038, 1820, 3488, 4792, 270, 29204, 815, 476, 271, 269, 10711, 278, 8618, 4037, 276, 4366, 277, 5073, 825, 952, 1003, 272, 2652, 476, 4792, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 17168, 912, 1038, 1820, 3488, 4792, 270, 17168, 815, 476, 271, 269, 10711, 10219, 5073, 825, 952, 1003, 272, 2652, 476, 4792, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 25834, 912, 1038, 1820, 3488, 4792, 270, 25834, 815, 476, 271, 269, 1708, 5392, 273, 21076, 279, 4343, 5073, 825, 952, 1003, 272, 2652, 476, 4792, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 27088, 912, 1038, 1820, 3488, 4792, 270, 27088, 815, 476, 271, 269, 1001, 279, 8287, 30500, 271, 4391, 5073, 825, 952, 1003, 272, 2652, 476, 4792, 543, 1129, 2652, 26230, 543, 1003, 273, 2652, 476, 26825, 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 ]
[ 607, 1498, 621, 781, 519, 5126, 1062, 602, 568, 9117, 593, 519, 12809, 6107, 267, 2864, 982, 519, 4819, 3478, 9575, 22867, 513, 6760, 269, 1403, 1152, 519, 5126, 1062, 1131, 3247, 18363, 1762, 1004, 2336, 288, 2673, 2034, 568, 834, 17367, 609, 513, 1686, 540, 6219, 946, 257, 538, 1747, 540, 834, 11357, 560, 766, 705, 12528, 9899, 1586, 267, 621, 781, 2947, 1913, 3476, 609, 936, 7466, 607, 1082, 5022, 269, 4746, 267, 834, 11357, 560, 766, 705, 12528, 257, 568, 2907, 513, 552, 1575, 1335, 1143, 276, 267, 2094, 834, 11357, 560, 766, 257, 568, 513, 3810, 2489, 2262, 281, 585, 3236, 267, 1216, 568, 513, 6219, 269, 4935, 267, 834, 11357, 560, 766, 705, 12528, 257, 568, 519, 1826, 540, 552, 1575, 1335, 1143, 538, 799, 513, 2489, 2262, 568, 2655, 21114, 585, 513, 811, 1808, 835, 267, 9561, 1344, 538, 519, 1184, 563, 8170, 1576, 267, 519, 6878, 26884, 676, 6219, 705, 22852, 616, 5061, 267, 2356, 10363, 3283, 269, 769, 4334, 267, 945, 3884, 1405, 513, 1268, 609, 513, 1686, 540, 6219, 946, 286, 1403, 596, 4312, 2479, 26583, 4568, 610, 28655, 10269, 610, 17089, 267, 596, 723, 513, 1686, 540, 834, 11357, 560, 766, 257, 946, 267, 855, 602, 3085, 1405, 1118, 596, 513, 834, 11357, 560, 766, 705, 12528, 257, 1577, 4805, 606, 834, 5417, 1112, 8487, 288, 4183, 540, 891, 1806, 568, 875, 782, 855, 835, 31431, 513, 3476, 2262, 610, 8360, 585, 513, 10156, 835, 269, 5261, 700, 583, 345, 4857, 2185, 5686, 540, 29156, 701, 752, 277, 267, 519, 1101, 2186, 1373, 552, 1575, 1335, 1143, 269, 769, 1840, 267, 646, 11339, 912, 288, 3791, 2186, 540, 29156, 701, 752, 568, 979, 6277, 1194, 17789, 809, 610, 29904, 6233, 324, 269, 2560, 314, 306, 316, 1276, 29156, 701, 752, 568, 3274, 513, 2339, 540, 533, 4979, 593, 1913, 267, 540, 11566, 519, 5304, 609, 1913, 2507, 663, 519, 3476, 519, 5220, 519, 1732, 269, 278, 454, 257, 31094, 23867, 1893, 257, 568, 267, 3976, 267, 29156, 701, 752, 540, 1312, 519, 1101, 543, 3791, 5686, 269, 634, 1249, 602, 1004, 781, 4064, 786, 1350, 10270, 936, 950, 789, 1224, 621, 568, 711, 513, 17079, 267, 621, 781, 513, 4183, 269, 898, 781, 711, 1893, 5921, 547, 5968, 267, 3079, 621, 781, 2966, 547, 609, 3835, 1344, 1247, 4758, 519, 21903, 540, 2792, 563, 2026, 594, 5018, 267, 972, 568, 835, 9868, 547, 891, 2453, 1373, 29156, 701, 752, 540, 519, 3791, 2186, 267, 543, 602, 568, 513, 10213, 835, 281, 3079, 540, 834, 4068, 6549, 9813, 2580, 649, 2811, 547, 2161, 3274, 834, 17367, 257, 610, 834, 785, 1339, 2668, 769, 713, 1259, 267, 782, 1344, 814, 1044, 6569, 689, 519, 8360, 267, 4849, 585, 519, 6654, 1249, 540, 1268, 3125, 269, 634, 3105, 9053, 1327, 1081, 834, 1495, 29545, 19366, 279, 257, 8659, 930, 15895, 1344, 827, 519, 1268, 781, 11776, 4567, 267, 543, 621, 949, 2907, 723, 30403, 547, 1599, 607, 513, 552, 1575, 1335, 1143, 607, 1004, 7691, 1018, 621, 1797, 563, 3383, 267, 538, 519, 1576, 540, 513, 1906, 5756, 649, 4312, 6410, 689, 834, 4068, 6549, 9813, 257, 547, 834, 785, 1339, 2668, 901, 568, 7415, 834, 2889, 28698, 257, 538, 29156, 701, 752, 538, 519, 2631, 602, 782, 4143, 1344, 814, 1631, 1044, 6569, 689, 519, 2165, 563, 2026, 6723, 2107, 6202, 5206, 827, 5240, 701, 752, 267, 519, 29156, 701, 752, 1893, 538, 1010, 3209, 476, 2735, 275, 281, 834, 2005, 729, 5497, 602, 950, 5240, 701, 752, 1185, 1044, 7550, 2899, 543, 585, 782, 543, 6196, 14588, 752, 16618, 267, 513, 1934, 3749, 2219, 2507, 29019, 581, 12777, 796, 20459, 762, 267, 693, 2547, 865, 2484, 607, 2219, 568, 8200, 593, 1913, 269, 280, 257, 1403, 596, 1246, 891, 4808, 267, 519, 1934, 3749, 2219, 602, 972, 781, 513, 3017, 1063, 513, 12504, 543, 513, 4914, 518, 945, 814, 9411, 519, 2197, 538, 18670, 540, 519, 1876, 786, 581, 5667, 599, 762, 952, 711, 796, 20459, 762, 563, 7775, 6202, 849, 5206, 281, 834, 2005, 729, 4397, 602, 5240, 701, 752, 1131, 723, 6368, 25436, 17660, 6196, 14588, 752, 630, 528, 9208, 2296, 267, 607, 649, 1058, 1289, 621, 264, 676, 827, 519, 1032, 476, 13078, 271, 269, 280, 257, 1284, 3100, 1318, 593, 3950, 547, 1118, 602, 21120, 563, 268, 6723, 2107, 6202, 267, 834, 303, 29176, 543, 519, 2296, 5678, 8487, 268, 4972, 540, 8935, 7632, 701, 752, 267, 476, 276, 270, 1556, 270, 1001, 277, 563, 268, 5845, 4223, 1512, 267, 834, 306, 293, 8274, 540, 8111, 6665, 832, 24846, 3278, 1893, 540, 7803, 5126, 1062, 2580, 5842, 12770, 20048, 1834, 267, 476, 279, 270, 1556, 270, 1001, 280, 563, 268, 834, 3849, 641, 1154, 543, 22034, 12287, 268, 5575, 5678, 1879, 28582, 2590, 547, 4658, 2060, 513, 22518, 16680, 2580, 5842, 12770, 8274, 540, 8111, 6665, 832, 267, 22375, 3143, 269, 476, 28656, 268, 866, 267, 476, 278, 270, 1704, 270, 1001, 280, 563, 268, 5261, 700, 583, 345, 5018, 602, 834, 11357, 560, 766, 6057, 257, 729, 513, 552, 1575, 1335, 1143, 585, 3075, 8213, 538, 1010, 1433, 689, 476, 2735, 280, 281, 8935, 7632, 701, 752, 281, 3245, 834, 3725, 15467, 28389, 618, 257, 547, 834, 28350, 1400, 12389, 21968, 1215, 6554, 267, 6355, 267, 22339, 23924, 267, 543, 11524, 2422, 5678, 547, 1546, 576, 633, 1411, 267, 533, 269, 476, 5038, 269, 1261, 3769, 834, 11357, 560, 766, 705, 12528, 257, 607, 513, 552, 1575, 1335, 1143, 585, 834, 323, 2607, 13982, 257, 538, 1010, 2663, 1433, 281, 8935, 7632, 701, 752, 4347, 1441, 281, 12338, 3414, 519, 18409, 7052, 543, 5192, 519, 8672, 630, 1960, 280, 1070, 533, 269, 476, 6858, 563, 268, 700, 583, 345, 267, 8935, 7632, 701, 752, 267, 6032, 269, 476, 273, 268, 278, 563, 268, 700, 583, 345, 267, 8935, 7632, 701, 752, 267, 533, 269, 476, 276, 563, 268, 14210, 1296, 3516, 267, 519, 2817, 5948, 540, 17104, 4750, 1235, 729, 14957, 713, 552, 1575, 1335, 1143, 282, 1294, 281, 11657, 539, 8935, 7632, 701, 752, 267, 476, 280, 270, 1626, 270, 1220, 280, 563, 268, 6723, 2107, 6202, 267, 476, 2735, 275, 281, 7956, 267, 17796, 267, 29576, 630, 3422, 274, 1070, 12995, 676, 7054, 1324, 1215, 324, 267, 533, 269, 476, 15171, 563, 20826, 476, 277, 628, 267, 476, 1001, 280, 630, 303, 1069, 531, 1074, 994, 300, 4115, 928, 5261, 5459, 932, 2335, 1564, 4793, 21662, 517, 454, 26607, 11888, 267, 14891, 16232, 11134, 631, 4115, 928, 5261, 5459, 11540, 543, 1287, 25216, 519, 1739, 6491, 342, 8636, 6291, 912, 763, 15840, 24252, 267, 8419, 267, 11908, 543, 519, 8349, 21590, 2507, 272, 949, 782, 581, 538, 938, 19001, 1631, 269, 7085, 687, 540, 721, 7487, 16910, 1014, 2490, 2476, 689, 2244, 568, 711, 513, 530, 871, 344, 2856, 282, 621, 568, 513, 3860, 946, 540, 519, 1379, 540, 519, 2247, 269, 5565, 3764, 540, 11755, 267, 14839, 267, 9066, 585, 1346, 538, 519, 1259, 540, 519, 7088, 314, 338, 545, 316, 273, 454, 296, 666, 6157, 1174, 1946, 1004, 1745, 4313, 539, 676, 741, 1378, 610, 824, 1004, 781, 19001, 610, 1434, 16858, 267, 2523, 952, 971, 1919, 616, 851, 540, 741, 4984, 269, 1717, 267, 5261, 5459, 4667, 547, 979, 3564, 602, 5626, 8343, 267, 11021, 602, 834, 17524, 687, 540, 721, 7487, 16910, 1014, 2490, 2476, 689, 2244, 257, 786, 2965, 2014, 519, 19996, 547, 798, 865, 269, 1548, 3116, 1281, 1352, 1611, 676, 834, 320, 3860, 946, 540, 519, 1379, 540, 519, 2247, 257, 888, 288, 811, 2757, 3909, 7664, 568, 602, 513, 11755, 568, 513, 1139, 997, 566, 540, 513, 5601, 267, 543, 621, 568, 519, 5601, 602, 2242, 519, 1576, 540, 519, 7088, 269, 1403, 519, 7088, 3085, 1405, 1689, 1576, 602, 781, 1317, 519, 5601, 267, 585, 922, 1378, 1202, 13062, 17014, 4128, 267, 4956, 711, 547, 2626, 519, 11755, 267, 610, 693, 2547, 711, 547, 798, 865, 538, 519, 1259, 7281, 539, 585, 269, 7201, 713, 7664, 267, 519, 12117, 540, 11755, 568, 2150, 652, 762, 267, 2094, 8726, 4523, 568, 519, 5601, 781, 3257, 587, 499, 31347, 602, 781, 513, 17079, 610, 513, 4183, 5673, 593, 707, 1448, 540, 2070, 563, 6546, 5261, 5459, 2965, 11099, 587, 499, 528, 693, 2547, 5910, 1742, 547, 3494, 587, 499, 7474, 519, 1480, 2247, 666, 1860, 519, 2168, 1158, 2047, 267, 1510, 519, 6304, 540, 519, 1480, 1560, 267, 568, 6462, 676, 1200, 2250, 10752, 269, 1403, 4641, 568, 606, 21903, 543, 1152, 2648, 568, 1483, 267, 1287, 621, 781, 711, 865, 9670, 602, 1352, 14659, 602, 24377, 666, 581, 11651, 1540, 676, 834, 1492, 1379, 540, 519, 2247, 2580, 610, 602, 10074, 616, 11991, 543, 1256, 5739, 274, 563, 1432, 594, 1810, 1405, 1174, 568, 1946, 5261, 5459, 25216, 519, 5048, 269, 23560, 865, 1152, 6039, 547, 2721, 811, 3007, 547, 621, 267, 2094, 621, 7902, 602, 1352, 729, 3843, 547, 12404, 621, 269, 1809, 621, 729, 1932, 3735, 281, 2576, 1185, 2907, 3144, 513, 13819, 14653, 540, 621, 563, 1103, 1840, 267, 1200, 22557, 30513, 13604, 10645, 602, 1018, 5261, 5459, 1185, 2854, 729, 513, 834, 5471, 777, 1817, 257, 275, 269, 1809, 1018, 729, 14165, 673, 827, 621, 286, 6496, 602, 1611, 649, 2811, 711, 9277, 547, 1491, 5261, 5459, 781, 2911, 540, 834, 331, 913, 257, 543, 834, 332, 4275, 3380, 257, 12777, 286, 1717, 267, 5261, 5459, 4682, 593, 547, 9718, 519, 2856, 540, 32467, 827, 24377, 267, 1603, 281, 834, 303, 2001, 518, 568, 513, 1379, 540, 519, 2247, 267, 543, 621, 568, 9444, 29737, 6862, 16662, 3485, 550, 269, 273, 257, 1772, 602, 14165, 673, 888, 296, 7074, 538, 513, 3105, 2022, 276, 602, 5261, 5459, 6499, 547, 723, 1200, 14735, 543, 3548, 621, 1932, 269, 2701, 6499, 547, 1404, 547, 1200, 11655, 945, 917, 1200, 689, 1200, 2835, 543, 14956, 19207, 23079, 267, 1247, 15260, 1005, 1866, 602, 1352, 3085, 1405, 2731, 3494, 1018, 1352, 3081, 538, 1346, 28503, 269, 1924, 267, 1352, 3513, 2328, 1945, 267, 3592, 5612, 18419, 621, 267, 6494, 1200, 22557, 30513, 856, 547, 20912, 621, 267, 1287, 9718, 1018, 1352, 8385, 5206, 256, 901, 568, 711, 513, 13737, 12136, 267, 855, 513, 4806, 538, 1200, 2623, 563, 19365, 5459, 1631, 8188, 513, 1966, 2147, 547, 1018, 840, 12329, 4793, 21662, 517, 1185, 950, 646, 10443, 585, 7022, 607, 513, 17044, 538, 476, 2735, 279, 912, 2507, 23961, 1206, 517, 267, 945, 814, 1279, 7682, 539, 602, 1010, 19001, 838, 1563, 9098, 16047, 267, 28446, 1421, 543, 1010, 4168, 16340, 26511, 8416, 689, 9552, 676, 23587, 717, 3271, 807, 538, 5181, 267, 476, 2735, 276, 267, 1767, 646, 6785, 646, 1131, 581, 968, 331, 13774, 1117, 693, 676, 1004, 782, 2066, 519, 2197, 892, 543, 968, 296, 6785, 594, 1223, 1175, 607, 3362, 1832, 1250, 5023, 9505, 543, 1577, 519, 3364, 5734, 543, 711, 1205, 3238, 1848, 1809, 646, 1767, 602, 646, 968, 322, 746, 333, 1406, 1450, 602, 2530, 540, 1272, 892, 543, 267, 4061, 267, 3366, 827, 513, 2929, 1004, 8384, 1010, 8613, 1982, 538, 19001, 602, 2366, 519, 19996, 968, 327, 1301, 8393, 856, 547, 4262, 1848, 2560, 968, 3383, 621, 729, 267, 540, 1576, 267, 513, 27803, 269, 2560, 272, 1703, 779, 1100, 824, 7778, 2223, 646, 1767, 269, 968, 763, 11356, 519, 1985, 1554, 1767, 649, 941, 1360, 18822, 269, 4270, 267, 594, 1810, 1406, 1589, 621, 729, 18822, 269, 594, 1589, 621, 729, 10143, 6304, 1848, 1763, 6342, 540, 519, 7043, 6816, 267, 715, 28629, 1421, 1858, 968, 29019, 723, 7281, 539, 1932, 2223, 21662, 517, 1767, 267, 1317, 23587, 717, 3271, 807, 267, 1310, 1654, 1359, 856, 547, 4262, 267, 25626, 1394, 24654, 543, 3361, 476, 277, 7972, 607, 1134, 607, 3592, 1269, 4968, 2929, 4502, 540, 3441, 538, 1018, 1715, 3840, 29583, 269, 631, 9222, 631, 269, 19923, 27622, 1572, 968, 1492, 1034, 14042, 2067, 9568, 892, 538, 519, 1533, 779, 1686, 269, 21662, 517, 1767, 646, 1185, 968, 7224, 1852, 936, 1018, 5949, 1985, 892, 1310, 1010, 19001, 3361, 2696, 547, 22302, 9098, 16047, 269, 2560, 314, 310, 316, 1156, 513, 19996, 568, 18188, 707, 1259, 267, 968, 9767, 1175, 7281, 585, 707, 1920, 543, 6068, 3283, 693, 602, 4090, 543, 4734, 519, 4539, 267, 519, 1964, 540, 621, 267, 538, 1010, 3946, 1848, 277 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 509, 493, 270, 14256, 355, 476, 273, 692, 284, 1535, 273, 1107, 544, 273, 266, 476, 5582, 509, 493, 24474, 476, 5582, 509, 494, 5582, 509, 493, 270, 14256, 355, 476, 5582, 509, 494, 1341, 476, 275, 692, 17635, 264, 630, 332, 273, 1341, 476, 273, 333, 273, 264, 273, 1107, 476, 275, 332, 273, 333, 273, 692, 284, 544, 275, 1341, 273, 332, 275, 269, 273, 333, 273, 1341, 275, 333, 275, 1107, 476, 275, 332, 273, 562, 273, 692, 284, 544, 275, 266, 476, 275, 332, 273, 333, 273, 1341, 476, 275, 333, 273, 1107, 476, 275, 332, 273, 333, 273, 692, 284, 544, 275, 1109, 266, 476, 275, 333, 273, 692, 263, 12858, 264, 630, 274, 320, 1107, 476, 273, 264, 273, 1107, 630, 273, 320, 910, 274, 264, 273, 692, 284, 630, 280, 320, 273, 1107, 476, 273, 269, 274, 320, 269, 273, 1341, 476, 2420, 264, 1107, 630, 275, 320, 273, 1107, 476, 273, 269, 274, 320, 269, 273, 1341, 476, 10844, 2020, 284, 476, 280, 320, 273, 1107, 1321, 320, 1341, 476, 275, 1107, 476, 275, 320, 273, 1341, 476, 1321, 320, 1107, 476, 280, 692, 284, 476, 276, 320, 273, 1107, 476, 276, 692, 284, 276, 5416, 273, 1107, 476, 272, 2020, 1012, 476, 274, 269, 272, 269, 274, 5772, 885, 1107, 18527, 540, 27155, 338, 692, 13706, 476, 276, 343, 1341, 476, 1015, 815, 476, 1428, 543, 630, 273, 343, 1341, 476, 274, 264, 273, 815, 476, 275, 343, 273, 1341, 476, 1321, 343, 1341, 476, 280, 269, 8307, 1535, 815, 476, 272, 25389, 519, 1101, 6935, 267, 6466, 1022, 1871, 540, 1535, 25389, 519, 2034, 6935, 269, 1284, 2161, 476, 276, 343, 1341, 476, 1015, 815, 476, 1428, 568, 606, 3830, 543, 630, 273, 343, 1341, 476, 274, 264, 273, 815, 476, 275, 343, 273, 1341, 476, 1321, 343, 1341, 476, 280, 568, 606, 3961, 269, 4935, 606, 3961, 568, 606, 3830, 799, 568, 3020, 585, 782, 2418, 540, 519, 4632, 538, 621, 780, 2162, 19577, 540, 9163, 1384, 15275, 640, 281, 630, 343, 266, 320, 7565, 343, 17070, 7565, 343, 25239, 264, 815, 1535, 274, 1341, 1535, 273, 5416, 17070, 25239, 264, 1341, 1535, 263, 629, 17070, 322, 266, 8619, 264, 1341, 705, 322, 692, 4131, 721, 4228, 700, 9391, 267, 630, 343, 1341, 513, 7565, 343, 1341, 536, 7565, 343, 1341, 524, 264, 815, 1496, 343, 273, 1341, 1535, 321, 1341, 4949, 1341, 705, 28488, 343, 1341, 524, 2020, 284, 1535, 274, 1341, 1535, 273, 321, 1341, 1109, 4949, 273, 1341, 705, 343, 1341, 1535, 273, 322, 1341, 1535, 25900, 1341, 4949, 322, 1341, 705, 322, 692, 284, 1535, 274, 1341, 1535, 273, 5416, 1341, 536, 1341, 524, 264, 1341, 1535, 263, 629, 1341, 27652, 1341, 1035, 264, 1341, 705, 322, 692, 1607, 18327, 519, 3961, 780, 7078, 476, 278, 281, 4855, 519, 1587, 540, 519, 23481, 338, 630, 343, 266, 273, 1070, 630, 343, 1341, 476, 274, 264, 543, 630, 343, 1341, 476, 275, 2020, 11405, 1384, 3287, 266, 320, 7565, 343, 17070, 7565, 343, 25239, 264, 815, 1535, 274, 1341, 1535, 273, 5416, 17070, 25239, 264, 1341, 1535, 263, 629, 17070, 322, 266, 8619, 264, 1341, 705, 322, 692, 2080, 513, 815, 476, 273, 282, 536, 815, 476, 274, 282, 524, 815, 476, 275, 1287, 10484, 3287, 1341, 476, 273, 7565, 343, 1341, 476, 274, 7565, 343, 1341, 476, 275, 264, 815, 1535, 274, 1341, 1535, 273, 263, 273, 266, 274, 266, 275, 11924, 343, 263, 273, 9943, 274, 1341, 476, 274, 9943, 275, 1341, 476, 275, 9943, 273, 264, 1341, 630, 273, 343, 274, 343, 275, 2020, 284, 1535, 274, 1341, 1535, 273, 263, 280, 264, 1341, 1535, 263, 277, 1341, 476, 1321, 1341, 476, 279, 264, 1341, 630, 2190, 2020, 284, 1535, 274, 1341, 476, 280, 343, 273, 1341, 476, 2918, 343, 1341, 476, 2190, 692, 15275, 640, 281, 630, 320, 17070, 264, 274, 815, 513, 274, 1341, 476, 274, 320, 273, 321, 1341, 476, 274, 629, 273, 1341, 536, 274, 692, 2252, 513, 815, 536, 815, 524, 1287, 267, 519, 1587, 630, 343, 266, 320, 7565, 343, 17070, 7565, 343, 25239, 264, 3274, 6971, 547, 630, 343, 266, 320, 264, 274, 269, 769, 713, 2013, 513, 266, 536, 266, 524, 815, 513, 266, 320, 266, 320, 815, 476, 274, 320, 267, 705, 17070, 322, 266, 8619, 815, 513, 273, 1341, 513, 273, 1341, 513, 273, 815, 476, 274, 320, 273, 543, 705, 322, 815, 513, 274, 3976, 649, 3489, 10484, 3287, 1341, 513, 264, 274, 815, 1535, 274, 1341, 476, 274, 343, 273, 320, 1341, 476, 274, 343, 320, 273, 1341, 513, 274, 692, 21982, 1535, 815, 536, 538, 713, 267, 649, 3489, 10484, 5416, 17070, 264, 274, 815, 513, 274, 1341, 476, 274, 320, 273, 321, 1341, 476, 274, 629, 273, 1341, 536, 274, 692, 1607, 666, 849, 581, 2854, 607, 10484, 5416, 1341, 536, 264, 274, 815, 513, 274, 1341, 476, 274, 629, 5416, 266, 536, 264, 1341, 536, 274, 692, 7078, 281, 30771, 630, 273, 343, 1341, 476, 274, 344, 264, 274, 692, 11405, 281, 1284, 946, 519, 1657, 3961, 281, 630, 320, 1341, 536, 264, 274, 815, 513, 274, 1341, 476, 274, 320, 273, 321, 1341, 476, 274, 629, 273, 1341, 536, 274, 1547, 6875, 513, 815, 476, 273, 343, 543, 536, 815, 476, 274, 344, 543, 649, 1205, 10484, 263, 273, 343, 1341, 476, 274, 344, 264, 274, 815, 630, 273, 343, 264, 274, 1341, 476, 274, 263, 273, 343, 264, 273, 263, 274, 344, 264, 1341, 476, 274, 263, 273, 343, 7565, 274, 344, 264, 273, 1341, 630, 274, 344, 264, 274, 692, 284, 476, 279, 343, 274, 1341, 476, 3607, 343, 273, 344, 1341, 476, 7918, 15383, 273, 1341, 476, 2767, 344, 274, 692, 1012, 18527, 540, 27155, 338, 1107, 11644, 476, 274, 269, 272, 269, 274, 692, 272, 269, 4855, 519, 1739, 2472, 1384, 9217, 7565, 343, 1341, 476, 275, 264, 630, 343, 1341, 476, 276, 264, 630, 343, 1341, 476, 273, 2020, 8794, 630, 343, 1341, 513, 264, 630, 343, 1341, 536, 264, 630, 343, 1341, 524, 264, 815, 1535, 274, 1341, 1535, 273, 630, 320, 1341, 536, 1341, 524, 264, 1341, 1535, 630, 629, 1341, 27652, 1341, 1309, 264, 1341, 705, 322, 692, 933, 1205, 692, 320, 815, 476, 275, 267, 536, 815, 476, 276, 543, 524, 815, 273, 692, 3287, 1341, 476, 275, 264, 630, 343, 1341, 476, 276, 264, 630, 343, 1341, 476, 273, 264, 815, 1535, 274, 1341, 1535, 273, 263, 275, 1341, 476, 276, 1341, 476, 273, 264, 1341, 1535, 630, 275, 269, 276, 1341, 476, 276, 269, 273, 1341, 476, 273, 269, 275, 264, 1341, 476, 275, 269, 276, 269, 273, 692, 284, 1535, 274, 1341, 476, 1556, 343, 273, 1341, 1535, 630, 736, 1341, 476, 1015, 1341, 476, 279, 264, 1341, 2412, 692, 284, 1535, 274, 1341, 476, 1556, 343, 273, 1341, 476, 4343, 343, 1341, 2412, 692, 23870, 264, 630, 344, 1341, 476, 274, 264, 630, 344, 1341, 476, 273, 264, 630, 586, 1107, 476, 272, 2020, 8794, 630, 343, 1341, 513, 264, 630, 343, 1341, 536, 264, 630, 343, 1341, 524, 264, 815, 1535, 274, 1341, 1535, 273, 630, 320, 1341, 536, 1341, 524, 264, 1341, 1535, 630, 629, 1341, 27652, 1341, 1309, 264, 1341, 705, 322, 649, 1205, 692, 343, 815, 586, 267, 513, 815, 476, 274, 267, 536, 815, 476, 273, 543, 524, 815, 910, 272, 692, 12169, 1341, 476, 274, 264, 630, 344, 1341, 476, 273, 264, 630, 344, 1107, 476, 272, 264, 815, 586, 274, 1341, 586, 273, 630, 274, 1341, 476, 273, 1107, 476, 272, 264, 1341, 586, 630, 274, 269, 273, 1341, 476, 273, 8987, 272, 264, 1341, 11196, 272, 264, 274, 1341, 476, 274, 269, 273, 8987, 272, 2020, 284, 586, 274, 1341, 476, 275, 344, 273, 1341, 586, 630, 277, 1107, 476, 273, 1107, 476, 274, 264, 1107, 476, 277, 692, 284, 586, 274, 1341, 476, 275, 344, 273, 1341, 586, 1107, 476, 277, 692, 31702, 264, 630, 320, 1341, 476, 273, 264, 630, 320, 1107, 476, 274, 264, 630, 320, 1341, 476, 275, 2020, 8794, 630, 343, 1341, 513, 264, 630, 343, 1341, 536, 264, 630, 343, 1341, 524, 264, 815, 1535, 274, 1341, 1535, 273, 630, 320, 1341, 536, 1341, 524, 264, 1341, 1535, 630, 629, 1341, 27652, 1341, 1309, 264, 1341, 705, 322, 692, 933, 1205, 692, 343, 815, 513, 267, 513, 815, 476, 273, 267, 536, 815, 1107, 274, 543, 524, 815, 476, 275, 692, 5416, 1341, 476, 273, 264, 630, 320, 1107, 476, 274, 264, 630, 320, 1107, 476, 275, 264, 815, 513, 274, 1341, 513, 273, 630, 273, 1107, 476, 274, 1341, 476, 275, 264, 1341, 513, 1496, 273, 263, 1700, 274, 264, 1341, 630, 1700, 274, 264, 275, 1341, 476, 275, 269, 273, 264, 1341, 476, 273, 630, 1700, 274, 264, 476, 275, 692, 284, 513, 274, 1341, 476, 274, 320, 273, 1341, 513, 630, 1700, 277, 1107, 476, 1321, 1341, 476, 279, 264, 1107, 476, 2190, 692, 284, 513, 274, 1341, 476, 274, 320, 273, 1107, 476, 1015, 320, 1107, 476, 2190, 692, 263, 643, 264, 630, 332, 1107, 476, 272, 264, 630, 332, 1107, 476, 273, 264, 630, 332, 1107, 476, 274, 2020, 8794, 630, 343, 1341, 513, 264, 630, 343, 1341, 536, 264, 630, 343, 1341, 524, 264, 815, 1535, 274, 1341, 1535, 273, 630, 320, 1341, 536, 1341, 524, 264, 1341, 1535, 630, 629, 1341, 27652, 1341, 1309, 264, 1341, 705, 322, 692, 933, 1205, 692, 343, 815, 544, 267, 513, 815, 1107, 272, 267, 536, 815, 1107, 273, 543, 524, 815, 1107, 274, 692, 9852, 1107, 476, 272, 264, 630, 332, 1107, 476, 273, 264, 630, 332, 1107, 476, 274, 264, 815, 544, 274, 1341, 544, 273, 630, 1700, 272, 1107, 476, 273, 1107, 476, 274, 264, 1341, 544, 27883, 1700, 272, 264, 630, 1700, 273, 264, 1341, 630, 1700, 273, 264, 630, 1700, 274, 264, 1341, 692, 263, 1700, 476, 274, 7565, 1700, 272, 13580, 1341, 630, 1700, 272, 264, 630, 1700, 273, 264, 630, 1700, 274, 2020, 284, 544, 274, 1341, 544, 273, 630, 1700, 277, 264, 1341, 544, 1496, 273, 1341, 476, 277, 1341, 476, 274, 316, 1107, 476, 277, 692, 284, 544, 274, 1107, 476, 277, 332, 273, 1341, 476, 1556, 332, 1107, 476, 277, 692, 17635, 264, 630, 20734, 5582, 509, 494, 1341, 20734, 5582, 509, 495, 264, 630, 18414, 5582, 509, 494, 266, 20734, 5582, 509, 497, 264, 630, 18414, 5582, 509, 494, 266, 20734, 5582, 509, 499, 25589, 8794, 630, 343, 1341, 513, 264, 630, 343, 1341, 536, 264, 630, 343, 1341, 524, 264, 815, 1535, 274, 1341, 1535, 273, 630, 320, 1341, 536, 1341, 524, 264, 1341, 1535, 630, 629, 1341, 27652, 1341, 1309, 264, 1341, 705, 322, 692, 933, 1205, 692, 343, 815, 476, 273, 267, 513, 815, 476, 274, 267, 536, 815, 476, 276, 543, 524, 815, 476, 278, 692, 263, 18414, 273, 1341, 20734, 274, 264, 630, 18414, 273, 266, 20734, 276, 264, 630, 18414, 273, 266, 20734, 278, 3738, 815, 630, 18414, 273, 264, 274, 1341, 630, 18414, 273, 264, 273, 1496, 18414, 274, 1341, 20734, 276, 266, 20734, 278, 27994, 20734, 273, 1496, 18414, 274, 269, 20734, 276, 1341, 20734, 276, 269, 20734, 278, 1341, 20734, 278, 269, 20734, 274, 316, 1341, 20734, 274, 269, 20734, 276, 269, 20734, 278, 692, 284, 476, 273, 18414, 273, 1341, 476, 273, 263, 18414, 274, 1341, 20734, 276, 1341, 20734, 278, 264, 1341, 20734, 273, 630, 1428, 266, 20734, 3374, 1341, 20734, 2641, 264, 1341, 20734, 10755, 692, 263, 12858, 264, 476, 10755, 1535, 476, 6200, 1535, 476, 9083, 692, 2171, 666, 2328, 713, 607, 692, 263, 1911, 1341, 476, 276, 264, 630, 1911, 1341, 476, 272, 264, 630, 1911, 1341, 476, 273, 2020, 8794, 630, 343, 1341, 513, 264, 630, 343, 1341, 536, 264, 630, 343, 1341, 524, 264, 815, 1535, 274, 1341, 1535, 273, 630, 320, 1341, 536, 1341, 524, 264, 1341, 1535, 630, 629, 1341, 27652, 1341, 1309, 264, 1341, 705, 322, 692, 933, 1205, 692, 343, 815, 476, 1911, 267, 513, 815, 476, 276, 267, 536, 815, 476, 272, 543, 524, 815, 476, 273, 692, 263, 1911, 1341, 476, 276, 264, 630, 1911, 1341, 476, 272, 264, 630, 1911, 1341, 476, 273, 264, 815, 476, 1911, 274, 1341, 476, 1911 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 272, 269, 12361, 30945, 1974, 2243, 1862, 780, 763, 30945, 1974, 540, 513, 536, 1468, 2551, 568, 3764, 269, 2311, 942, 3764, 267, 519, 536, 1468, 2551, 729, 476, 7785, 876, 269, 2060, 8204, 3764, 267, 519, 4542, 585, 519, 2551, 568, 16317, 272, 269, 7790, 11631, 888, 273, 269, 634, 3355, 2551, 693, 942, 568, 11631, 888, 274, 269, 634, 2450, 540, 519, 536, 1468, 2551, 1310, 476, 274, 3108, 568, 11631, 2496, 328, 4312, 1044, 3843, 547, 11690, 538, 543, 7058, 267, 855, 621, 781, 1175, 711, 2324, 1862, 30314, 2439, 763, 30945, 1974, 540, 513, 536, 1468, 2551, 568, 3764, 269, 2311, 942, 3764, 267, 519, 536, 1468, 2551, 729, 476, 7785, 876, 269, 2060, 8204, 3764, 267, 519, 4542, 585, 519, 2551, 568, 16317, 272, 269, 7790, 11631, 888, 273, 269, 634, 3355, 2551, 693, 942, 568, 11631, 888, 274, 269, 634, 2450, 540, 519, 536, 1468, 2551, 1310, 476, 274, 3108, 568, 11631, 2496, 328, 4312, 1044, 3843, 547, 11690, 538, 543, 7058, 267, 855, 621, 781, 1175, 711, 2324, 1862, 30314, 2336, 7445, 6234, 476, 7785, 876, 815, 32363, 3867, 3199, 330, 10592, 7445, 6234, 476, 4968, 876, 815, 32363, 3867, 4792, 330, 10592, 15965, 728, 519, 476, 272, 560, 3830, 676, 519, 476, 273, 526, 835, 27250, 7445, 6234, 476, 273, 815, 552, 3867, 1428, 330, 10592, 338, 9876, 585, 4399, 6234, 737, 259, 3267, 1287, 3313, 4399, 6234, 589, 259, 3267, 1287, 1265, 4399, 6234, 623, 263, 5197, 22491, 274, 269, 1775, 2322, 1547, 7597, 273, 270, 1428, 543, 3893, 1547, 271, 5379, 855, 602, 1281, 711, 3100, 547, 581, 519, 1318, 1871, 585, 918, 692, 328, 2322, 1547, 7597, 273, 270, 1428, 543, 3893, 1547, 271, 5379, 855, 602, 1281, 711, 3100, 547, 581, 519, 1318, 1871, 585, 918, 454, 25585, 711, 26042, 276, 269, 20323, 17397, 676, 7729, 2678, 454, 25585, 711, 26042, 20357, 950, 1775, 4283, 713, 883, 519, 1062, 1141, 594, 723, 547, 10505, 519, 2626, 267, 621, 12987, 803, 676, 6031, 11234, 1862, 780, 6202, 3267, 594, 666, 10018, 602, 519, 12825, 3586, 267, 4399, 6234, 737, 259, 2073, 585, 1022, 30945, 1974, 568, 4399, 6234, 1422, 2765, 3189, 15238, 263, 273, 20972, 339, 4151, 2073, 1141, 4399, 6234, 512, 259, 568, 519, 30945, 1974, 563, 7445, 6234, 1422, 2765, 3189, 15238, 263, 273, 20972, 1428, 348, 815, 476, 271, 269, 271, 5379, 20385, 279, 1321, 1862, 259, 0, 258, 8921, 19087, 25226, 5530, 6651, 585, 519, 589, 6717, 308, 12195, 3722, 2207, 4530, 692, 17273, 476, 272, 692, 1012, 4937, 6176, 692, 1607, 568, 513, 1449, 540, 2596, 2979, 2702, 269, 2986, 519, 476, 736, 2055, 593, 621, 267, 972, 616, 476, 274, 547, 476, 276, 1644, 547, 1142, 540, 891, 6310, 5773, 1384, 1892, 4238, 609, 2898, 2338, 454, 1892, 4238, 609, 8454, 454, 1892, 4238, 609, 8918, 2338, 454, 1892, 2324, 609, 21159, 454, 1892, 9236, 2338, 543, 4466, 6697, 2338, 692, 5278, 2055, 3274, 1459, 606, 3830, 547, 4194, 610, 2307, 513, 2243, 827, 513, 1297, 610, 1895, 540, 2338, 269, 4033, 2055, 1331, 513, 1483, 8996, 9183, 538, 799, 972, 568, 513, 6310, 1966, 547, 581, 12193, 269, 1280, 891, 267, 596, 991, 547, 4020, 513, 1966, 1210, 519, 2338, 543, 1344, 2016, 267, 1287, 5173, 519, 2626, 780, 2026, 596, 666, 1294, 689, 519, 3355, 6609, 267, 519, 2055, 3382, 1360, 2596, 2979, 4238, 543, 2010, 540, 2042, 269, 15394, 267, 1152, 513, 1906, 540, 519, 2042, 723, 811, 982, 835, 1900, 269, 1411, 798, 991, 547, 917, 519, 2495, 540, 2596, 2979, 2474, 267, 971, 607, 2040, 543, 1587, 547, 1174, 930, 2055, 780, 9616, 281, 898, 1131, 581, 1655, 547, 2638, 609, 707, 4152, 4099, 585, 21533, 267, 855, 938, 1344, 6920, 602, 1100, 1688, 18988, 26732, 616, 4847, 1282, 1022, 6452, 340, 680, 27468, 4255, 269, 2561, 30068, 267, 972, 616, 930, 2055, 602, 1450, 9498, 946, 543, 267, 585, 1346, 2055, 267, 1152, 267, 606, 593, 1606, 10547, 9498, 786, 2408, 780, 1012, 19940, 10606, 692, 5278, 540, 519, 2055, 593, 519, 6452, 340, 680, 27468, 8921, 19087, 25226, 4530, 4125, 2324, 609, 2898, 2338, 1152, 269, 1452, 616, 519, 10203, 2338, 267, 4098, 609, 476, 272, 267, 543, 596, 1058, 581, 2111, 547, 3362, 1685, 782, 2185, 2596, 4238, 609, 873, 269, 1358, 798, 711, 1331, 1022, 968, 30672, 892, 540, 2338, 267, 899, 8454, 610, 17447, 269, 1411, 949, 849, 991, 547, 960, 609, 930, 2898, 2338, 538, 2055, 602, 4308, 6140, 609, 8454, 610, 17447, 543, 930, 540, 519, 1482, 3741, 4019, 267, 865, 581, 2386, 596, 616, 1360, 1434, 693, 713, 543, 602, 596, 11441, 585, 6111, 269, 4438, 2259, 267, 2638, 782, 540, 707, 4267, 609, 513, 9498, 267, 1175, 547, 581, 2386, 780, 2791, 723, 1044, 3257, 891, 4238, 585, 1296, 267, 855, 1416, 1652, 9073, 616, 2653, 547, 1118, 269, 3371, 616, 930, 4388, 538, 1931, 547, 2057, 6959, 950, 2324, 609, 2898, 2338, 1384, 1892, 5700, 519, 2596, 1840, 543, 12408, 5013, 909, 547, 476, 280, 1341, 476, 280, 269, 901, 786, 3432, 909, 519, 1184, 543, 1118, 596, 1447, 2693, 547, 1205, 865, 3238, 538, 2241, 19106, 602, 596, 7340, 1141, 596, 616, 538, 519, 1966, 9010, 1184, 780, 1892, 1879, 4946, 610, 18946, 9587, 540, 2338, 267, 581, 2386, 547, 1832, 707, 9587, 2786, 269, 2422, 1769, 3515, 952, 596, 991, 547, 267, 610, 946, 21641, 1957, 5828, 2427, 1811, 585, 8216, 9587, 780, 1892, 1879, 596, 1589, 596, 723, 519, 2953, 2626, 267, 9258, 519, 5106, 543, 1294, 952, 596, 1439, 909, 609, 519, 1297, 596, 3323, 609, 269, 1403, 596, 3773, 1101, 267, 1631, 10208, 543, 13030, 17930, 780, 1892, 2142, 2386, 596, 616, 23622, 1247, 12719, 269, 898, 779, 2653, 547, 1205, 865, 3238, 602, 596, 1413, 693, 476, 277, 910, 476, 274, 543, 1589, 476, 277, 1341, 476, 274, 780, 1892, 1403, 519, 1840, 9587, 616, 2731, 1279, 267, 1039, 519, 2338, 7466, 547, 1294, 952, 596, 1205, 519, 1482, 2626, 269, 3399, 693, 519, 1283, 519, 1101, 942, 543, 960, 689, 519, 5377, 519, 2034, 942, 780, 1892, 5213, 1406, 19292, 547, 21066, 2328, 2338, 602, 596, 1036, 4981, 12462, 8364, 787, 892, 936, 547, 519, 1985, 1747, 538, 1840, 610, 968, 4011, 992, 892, 547, 946, 538, 12408, 1040, 901, 786, 948, 596, 3314, 547, 946, 873, 780, 2162, 18527, 543, 10406, 692, 1892, 5700, 519, 2596, 8691, 5013, 909, 547, 476, 280, 1535, 476, 280, 269, 18833, 873, 909, 547, 476, 1321, 1535, 476, 1321, 786, 948, 538, 930, 8320, 267, 855, 3622, 267, 596, 9062, 543, 7941, 476, 272, 7857, 2338, 607, 851, 540, 513, 8273, 1184, 269, 18833, 519, 5013, 786, 3432, 1919, 909, 1934, 267, 1932, 267, 543, 1577, 596, 1445, 593, 519, 2462, 4605, 540, 4466, 519, 3803, 2626, 780, 1892, 24367, 2953, 9587, 568, 849, 1271, 585, 891, 4238, 269, 6423, 23456, 896, 18827, 543, 25513, 267, 1657, 269, 2142, 2523, 6297, 609, 9587, 950, 3257, 1279, 6498, 610, 14921, 676, 513, 1297, 609, 811, 982, 835, 7857, 780, 1892, 1403, 596, 991, 547, 946, 513, 4642, 547, 1665, 513, 1747, 267, 798, 865, 269, 3371, 779, 606, 1383, 1384, 11377, 15153, 1422, 15153, 31046, 31046, 476, 272, 16465, 17961, 9387, 348, 1422, 15153, 1422, 15153, 31046, 31046, 476, 10619, 261, 8607, 1422, 8974, 1467, 12757, 315, 15153, 476, 4029, 31905, 8607, 1422, 15153, 1422, 15153, 31046, 31046, 476, 10619, 261, 8607, 1422, 8974, 1467, 346, 476, 19442, 271, 31905, 8607, 476, 26631, 275, 261, 8607, 1422, 754, 9387, 10926, 9616, 519, 476, 272, 5645, 543, 519, 476, 271, 1031, 607, 1747, 14516, 538, 476, 19442, 271, 780, 5472, 5530, 20929, 585, 519, 589, 6717, 308, 12195, 3722, 2207, 4530, 616, 1631, 2139, 607, 4647, 762, 7300, 338, 0, 306, 15471, 2685, 4080, 713, 15942, 6011, 563, 10000, 5765, 22391, 18704, 454, 9943, 692, 258, 10789, 11708, 543, 3252, 476, 275, 476, 275, 476, 275, 268, 276, 692, 274, 267, 28318, 5784, 692, 13775, 593, 692, 293, 17313, 692, 13775, 538, 281, 4065, 267, 5303, 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, 1892, 2142, 519, 1101, 547, 899, 713, 692, 2162, 10789, 11708, 543, 3252, 476, 275, 476, 275, 476, 275, 268, 276, 692, 272, 269, 476, 272, 269, 5675, 513, 9577, 14329, 543, 6034, 7352, 566, 3848, 476, 275, 7689, 476, 275, 268, 275, 543, 7689, 476, 275, 268, 276, 454, 273, 269, 476, 273, 269, 9577, 16390, 2999, 592, 12481, 2993, 285, 2791, 666, 2328, 513, 4341, 585, 513, 1599, 676, 7421, 513, 3349, 540, 2418, 269, 6733, 585, 513, 4806, 11341, 519, 18763, 543, 8200, 4632, 269, 21742, 2993, 20565, 592, 11417, 274, 269, 476, 274, 269, 5675, 513, 14329, 1106, 513, 7305, 2999, 592, 12481, 2993, 285, 31262, 7305, 21742, 2993, 20565, 592, 285, 279, 476, 275, 476, 278, 476, 274, 476, 277, 476, 273, 476, 276, 476, 272, 535, 630, 343, 264, 1535, 454, 275, 269, 476, 275, 269, 3503, 3652, 585, 519, 1739, 7515, 2999, 592, 12481, 2993, 285, 8855, 547, 1413, 585, 513, 4806, 21742, 2993, 20565, 592, 285, 273, 476, 275, 476, 272, 476, 274, 476, 271, 476, 273, 910, 272, 476, 272, 535, 3287, 264, 1535, 476, 275, 476, 279, 476, 274, 476, 277, 476, 273, 476, 275, 476, 272, 476, 273, 1535, 586, 454, 276, 269, 476, 276, 269, 13335, 2999, 592, 12481, 2993, 285, 288, 15790, 10938, 1207, 903, 18138, 18969, 676, 519, 11013, 269, 3962, 11013, 540, 18969, 3790, 8096, 272, 269, 866, 269, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 2237, 513, 1599, 4341, 547, 4766, 713, 2078, 269, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 1692, 1454, 798, 476, 1321, 18470, 540, 18138, 18969, 1942, 286, 21742, 2993, 20565, 592, 11417, 277, 269, 476, 277, 269, 6034, 7352, 566, 2999, 592, 12481, 2993, 285, 288, 1599, 538, 519, 1106, 586, 284, 737, 343, 2073, 1141, 737, 9881, 510, 271, 267, 568, 513, 1463, 8390, 1547, 634, 3586, 540, 8390, 585, 1463, 8390, 737, 568, 519, 11664, 540, 1535, 269, 634, 4632, 586, 543, 1535, 616, 1767, 547, 4268, 2047, 609, 1142, 824, 269, 21742, 2993, 20565, 592, 11417, 278, 269, 476, 278, 269, 6034, 7352, 566, 2999, 592, 12481, 2993, 285, 2690, 586, 815, 737, 343, 267, 586, 568, 513, 1599, 540, 1535, 269, 1403, 1535, 815, 476, 271, 267, 1287, 586, 815, 476, 271, 267, 865, 519, 3113, 540, 513, 1463, 8390, 568, 513, 1899, 602, 10596, 998, 630, 271, 267, 271, 1040, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 2414, 2995, 2436, 606, 3830, 4564, 513, 1463, 8390, 269, 16534, 585, 586, 269, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 2252, 519, 3830, 666, 581, 2854, 538, 519, 1106, 968, 586, 815, 737, 343, 892, 2073, 1141, 737, 9881, 510, 476, 271, 267, 621, 4564, 513, 1463, 8390, 269, 21742, 2993, 20565, 592, 11417, 279, 269, 476, 279, 269, 1772, 606, 3830, 513, 6034, 7352, 566, 286, 2999, 592, 12481, 2993, 285, 3674, 1142, 3830, 513, 1463, 8390, 286, 1403, 621, 568, 267, 1265, 519, 3586, 540, 8390, 269, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 1432, 1106, 1058, 519, 3830, 1491, 286, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 276, 343, 1341, 476, 273, 344, 815, 476, 271, 476, 278, 344, 815, 476, 273, 343, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 276, 343, 1341, 476, 273, 344, 815, 476, 280, 476, 274, 344, 1341, 476, 275, 343, 815, 476, 279, 21742, 2993, 20565, 592, 11417, 280, 269, 476, 280, 269, 5675, 606, 17817, 9717, 513, 8672, 2999, 592, 12481, 2993, 285, 2237, 606, 3830, 540, 519, 1463, 8390, 602, 2882, 519, 1448, 630, 275, 267, 274, 264, 1547, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 5575, 1376, 609, 519, 1599, 1106, 540, 513, 1463, 8390, 2433, 586, 284, 330, 343, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 27802, 3482, 476, 275, 585, 1535, 543, 910, 274, 585, 586, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 24169, 585, 737, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 2237, 606, 3830, 269, 15240, 3482, 519, 3070 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 28605, 8193, 281, 30016, 268, 279, 28605, 1477, 18851, 1477, 32046, 593, 11205, 5463, 476, 866, 476, 1626, 281, 2767, 281, 5881, 476, 1001, 279, 5897, 287, 10461, 281, 1608, 11770, 517, 1477, 18851, 5897, 320, 284, 271, 1477, 6112, 513, 283, 1015, 6769, 825, 1820, 5416, 3418, 825, 513, 6834, 476, 272, 1477, 2745, 2891, 10900, 955, 8442, 24541, 1721, 1003, 538, 1496, 272, 267, 273, 267, 274, 267, 275, 267, 276, 316, 6769, 825, 952, 1003, 4939, 476, 273, 2652, 476, 271, 6769, 1038, 3136, 1477, 825, 1820, 16325, 3418, 2745, 2891, 10900, 955, 8442, 21506, 1721, 1003, 538, 1496, 272, 267, 273, 267, 274, 267, 275, 267, 276, 316, 6769, 825, 952, 1003, 4939, 476, 273, 2652, 476, 271, 6769, 1038, 2736, 1477, 825, 1820, 16325, 3418, 2745, 2891, 10900, 955, 8442, 21506, 1721, 1003, 538, 1496, 272, 267, 273, 267, 274, 267, 275, 267, 276, 316, 6769, 825, 952, 1003, 4939, 476, 273, 2652, 476, 271, 6769, 1038, 1780, 1477, 825, 1820, 16325, 264, 1038, 0, 258, 28605, 8193, 281, 30016, 268, 279, 28605, 1477, 18851, 1477, 32046, 593, 774, 340, 5463, 476, 736, 476, 1626, 281, 2764, 281, 2420, 476, 1001, 279, 5897, 287, 10461, 281, 1608, 11770, 517, 1477, 18851, 5897, 3698, 1265, 6958, 872, 5091, 904, 28399, 825, 1863, 5091, 904, 284, 4289, 14052, 825, 2407, 318, 24629, 284, 4289, 263, 9792, 263, 272, 267, 4029, 17903, 825, 1948, 2745, 263, 21459, 318, 24629, 3418, 825, 1433, 539, 17342, 272, 267, 274, 267, 280, 267, 1321, 267, 1724, 267, 1240, 267, 2918, 267, 2767, 267, 2764, 267, 3066, 15947, 825, 9702, 17342, 275, 267, 276, 267, 1428, 267, 1626, 267, 2641, 267, 2420, 15947, 825, 13026, 284, 1504, 539, 266, 3128, 6118, 1477, 825, 1948, 1721, 6221, 538, 2407, 318, 24629, 6769, 1038, 1948, 604, 6221, 711, 538, 13026, 6769, 2018, 1948, 16451, 5091, 904, 6910, 263, 14403, 3418, 825, 1863, 5091, 904, 17342, 14403, 585, 6221, 538, 2407, 318, 24629, 952, 6221, 711, 538, 13026, 316, 1363, 1477, 825, 1863, 5091, 904, 31699, 3890, 1363, 1477, 825, 1820, 6600, 872, 5091, 904, 264, 476, 5897, 3698, 1292, 28399, 825, 1265, 6958, 872, 5091, 904, 31476, 604, 6449, 4067, 1029, 2525, 262, 1029, 10852, 1029, 262, 6769, 825, 1292, 3890, 16875, 1477, 24541, 672, 0, 18257, 15901, 730, 21642, 454, 299, 559, 1695, 814, 513, 5569, 267, 2073, 540, 27608, 2296, 5022, 602, 1352, 7368, 28222, 1082, 2053, 563, 11693, 606, 8870, 267, 2073, 1265, 543, 1820, 519, 1297, 540, 4484, 513, 1412, 338, 538, 519, 1101, 5022, 540, 700, 559, 1695, 781, 12808, 5569, 563, 19152, 14474, 454, 763, 1101, 1899, 3568, 513, 2582, 5569, 267, 4586, 763, 2034, 1899, 3568, 606, 8870, 267, 4586, 3519, 14259, 6493, 454, 2690, 540, 519, 1449, 2665, 267, 4586, 20479, 14474, 454, 19530, 513, 2582, 8870, 3954, 7627, 519, 1297, 540, 4484, 513, 1412, 338, 538, 519, 1101, 5022, 540, 519, 12808, 5569, 2813, 676, 454, 516, 701, 908, 28222, 1082, 2053, 563, 25456, 18452, 476, 271, 454, 19487, 454, 1015, 454, 25456, 19243, 476, 271, 454, 278, 454, 15008, 476, 271, 454, 763, 1101, 5022, 540, 519, 12808, 5569, 616, 705, 320, 19487, 629, 12711, 1547, 5221, 972, 616, 513, 1412, 338, 267, 649, 1820, 593, 513, 454, 2908, 1899, 563, 25456, 18452, 476, 272, 454, 320, 454, 1911, 1822, 1822, 1822, 271, 454, 25456, 19243, 476, 272, 454, 1911, 1822, 1822, 1822, 271, 454, 15008, 476, 272, 454, 10303, 782, 540, 519, 1101, 5022, 540, 519, 12808, 5569, 616, 513, 2073, 649, 1820, 454, 517, 513, 1007, 1899, 269, 15981, 692, 14030, 23351, 15981, 955, 268, 9563, 24257, 25663, 28513, 24177, 28843, 283, 955, 268, 23288, 3698, 7368, 21803, 4433, 267, 562, 2187, 825, 561, 338, 284, 4289, 4433, 994, 825, 561, 284, 6352, 263, 3149, 994, 825, 952, 562, 10922, 7003, 263, 3149, 2187, 1038, 2132, 561, 338, 11468, 333, 4940, 12248, 2891, 320, 5602, 825, 952, 561, 338, 29644, 2891, 320, 8442, 2652, 561, 912, 1038, 2132, 562, 454, 825, 544, 339, 284, 333, 2260, 331, 454, 825, 678, 339, 284, 333, 260, 331, 454, 825, 1820, 2891, 734, 9563, 2580, 31198, 267, 4135, 994, 825, 1309, 284, 3149, 29644, 2891, 320, 5602, 825, 1820, 2891, 268, 24257, 2580, 8619, 994, 825, 1309, 815, 630, 8619, 265, 31198, 264, 1341, 561, 338, 11468, 4135, 4940, 12248, 2891, 320, 5602, 825, 2132, 1309, 454, 338, 815, 3403, 4590, 333, 815, 703, 9272, 15405, 14310, 815, 7368, 21803, 4433, 267, 562, 994, 0, 26611, 23591, 24800, 19841, 341, 9226, 692, 18411, 24927, 585, 5373, 3239, 7990, 27008, 563, 18257, 692, 258, 7046, 20302, 20558, 454, 5814, 11885, 607, 5286, 454, 5814, 20956, 273, 692, 258, 2876, 6945, 543, 28321, 454, 5814, 21267, 28272, 607, 12301, 454, 5814, 21267, 607, 544, 680, 7531, 258, 476, 5785, 5785, 454, 258, 2876, 9999, 454, 258, 570, 2586, 689, 5291, 2517, 13449, 29764, 2275, 1712, 2593, 14121, 583, 3645, 338, 7933, 3863, 532, 3620, 626, 6945, 2987, 1790, 3155, 2914, 603, 2173, 520, 15003, 13045, 258, 476, 5785, 5785, 692, 3698, 1397, 318, 7290, 6945, 263, 19112, 2187, 825, 5727, 9577, 547, 4159, 3239, 27008, 269, 3097, 1038, 4675, 2176, 2582, 543, 1614, 8756, 2592, 269, 29185, 825, 952, 708, 326, 269, 526, 574, 2652, 476, 273, 912, 1038, 1948, 18452, 3239, 568, 2582, 8756, 454, 1038, 12301, 269, 7290, 263, 19112, 269, 29788, 1084, 19572, 476, 16348, 267, 2039, 14352, 271, 267, 476, 7742, 1070, 535, 322, 8782, 330, 5073, 1038, 12301, 20481, 10797, 825, 8640, 708, 326, 269, 526, 574, 2652, 476, 274, 912, 1038, 1948, 18452, 3239, 568, 1614, 9055, 454, 1038, 4453, 815, 12301, 8807, 2682, 4590, 1038, 4453, 14491, 5334, 889, 7120, 263, 25313, 994, 1038, 12301, 269, 7290, 263, 19112, 314, 24222, 271, 4940, 29788, 1084, 19572, 476, 16348, 267, 2039, 14352, 271, 267, 476, 7742, 1070, 535, 322, 8782, 321, 5073, 1038, 4453, 14491, 5334, 889, 7120, 263, 24374, 994, 1038, 12301, 269, 7290, 263, 19112, 314, 24222, 272, 4940, 29788, 1084, 19572, 476, 16348, 267, 2039, 14352, 271, 267, 476, 7742, 1070, 535, 322, 8782, 326, 5073, 1038, 4453, 14491, 5334, 889, 7120, 263, 27123, 994, 1038, 12301, 269, 7290, 263, 19112, 314, 24222, 273, 4940, 29788, 1084, 19572, 476, 16348, 267, 2039, 14352, 271, 267, 476, 7742, 1070, 535, 322, 8782, 337, 5073, 1038, 12301, 20481, 30800, 258, 476, 5785, 5785, 692, 3698, 1397, 20189, 12364, 318, 7290, 6945, 263, 19112, 2187, 825, 15981, 17004, 513, 27008, 540, 519, 670, 826, 2418, 540, 519, 23034, 6041, 540, 519, 3239, 269, 18411, 825, 554, 12364, 815, 20956, 273, 6983, 26404, 21760, 263, 19112, 267, 20956, 273, 269, 4596, 299, 3036, 29758, 16165, 273, 9391, 309, 994, 825, 554, 29679, 267, 341, 267, 815, 20956, 273, 21858, 22607, 12364, 2020, 825, 562, 267, 25510, 267, 15649, 815, 12301, 269, 7290, 22607, 269, 29788, 1084, 19572, 476, 5197, 267, 2343, 539, 18989, 994, 8931, 825, 1948, 2051, 712, 27008, 25510, 2687, 547, 519, 670, 1871, 454, 825, 4699, 777, 815, 544, 680, 6983, 332, 19544, 12364, 454, 825, 536, 26174, 815, 10581, 32384, 6357, 1231, 4917, 825, 585, 536, 28872, 2255, 538, 23407, 6357, 1231, 267, 15649, 2187, 1038, 1948, 4336, 25510, 547, 476, 271, 268, 272, 269, 271, 585, 7990, 4786, 1413, 5346, 454, 1038, 524, 815, 4699, 777, 6357, 11486, 26174, 264, 3097, 1038, 15429, 15630, 318, 10233, 6262, 2020, 825, 12301, 20481, 4590, 8931, 258, 476, 5785, 5785, 692, 604, 476, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 708, 326, 815, 20956, 273, 269, 574, 1348, 3488, 907, 270, 30502, 9706, 1653, 318, 517, 4671, 762, 27970, 5073, 825, 1397, 318, 7290, 6945, 263, 19112, 994, 825, 1397, 20189, 12364, 318, 7290, 6945, 263, 19112, 994, 825, 20956, 273, 9884, 7159, 7659, 4590, 825, 20956, 273, 6155, 652, 5797, 5472, 20360, 3298, 4590, 0, 258, 5036, 1810, 1405, 723, 5918, 27289, 596, 666, 1039, 610, 4894, 3688, 454, 258, 568, 2653, 547, 5635, 609, 824, 5036, 454, 691, 6958, 12188, 815, 2715, 257, 305, 6504, 2580, 834, 2304, 928, 2580, 834, 297, 523, 257, 8679, 14396, 6958, 12188, 815, 2715, 257, 297, 523, 2580, 834, 13142, 12340, 257, 10926, 691, 318, 8117, 318, 2254, 5334, 7220, 815, 1148, 6958, 12188, 6155, 29924, 4433, 7220, 6958, 12188, 994, 2745, 263, 691, 318, 8117, 318, 2254, 5334, 7220, 994, 2254, 18425, 10734, 1054, 815, 1148, 6958, 12188, 269, 22131, 13240, 5091, 29924, 4433, 7220, 6958, 12188, 994, 2745, 263, 2254, 18425, 10734, 1054, 994, 0, 3698, 1285, 326, 263, 572, 336, 2567, 2132, 2040, 263, 572, 336, 8358, 6352, 263, 572, 336, 9239, 3698, 2698, 263, 572, 336, 2567, 2132, 2040, 263, 572, 336, 9239, 3698, 1283, 263, 572, 336, 2567, 2132, 3193, 263, 572, 336, 9239, 6016, 725, 815, 13634, 825, 834, 320, 2071, 9899, 1285, 326, 2676, 825, 834, 20135, 9899, 2698, 2676, 825, 834, 9008, 9899, 1283, 454, 10926, 29324, 815, 1496, 454, 825, 2715, 257, 4067, 9899, 834, 305, 6504, 2580, 834, 326, 10232, 9899, 630, 6858, 267, 476, 3445, 267, 476, 4817, 267, 476, 1911, 14587, 2676, 825, 2715, 257, 4067, 9899, 834, 7692, 2580, 834, 326, 10232, 9899, 630, 6321, 267, 476, 4281, 267, 476, 3199, 267, 476, 3445, 14587, 2676, 825, 2715, 257, 4067, 9899, 834, 297, 523, 2580, 834, 326, 10232, 9899, 630, 7176, 267, 476, 3445, 267, 476, 4817, 267, 476, 4200, 14587, 2676, 825, 2715, 257, 4067, 9899, 834, 2304, 928, 2580, 834, 326, 10232, 9899, 630, 1911, 267, 476, 1911, 267, 476, 4817, 267, 476, 1911, 14587, 2676, 6540, 1721, 2875, 538, 1053, 912, 825, 2012, 815, 2875, 14277, 4067, 31116, 825, 9344, 815, 2875, 14277, 326, 10232, 257, 6540, 825, 1820, 6600, 257, 22923, 281, 2715, 4067, 348, 5602, 825, 5106, 815, 3403, 2891, 11767, 1412, 320, 2071, 12887, 20135, 12887, 9008, 9166, 834, 2020, 825, 5106, 6958, 4233, 815, 4238, 314, 7774, 2639, 825, 1820, 263, 7774, 6958, 4233, 14116, 10232, 4917, 0, 322, 12364, 18316, 815, 1930, 3488, 322, 12364, 12774, 17902, 5073, 6050, 815, 26417, 18316, 18667, 6050, 4590, 322, 12364, 18316, 25379, 10797, 6050, 815, 1496, 1467, 14714, 8692, 3890, 585, 1899, 538, 3515, 314, 272, 281, 316, 6540, 1721, 1899, 538, 3515, 912, 825, 1268, 12774, 815, 1899, 21858, 263, 3299, 5073, 825, 2012, 815, 1268, 12774, 314, 271, 2639, 825, 2085, 815, 1268, 12774, 314, 272, 2639, 825, 6280, 815, 1268, 12774, 314, 273, 2639, 825, 4110, 815, 1268, 12774, 314, 274, 6540, 825, 1820, 6600, 262, 346, 4067, 26644, 3890, 348, 568, 2715, 720, 9574, 4974, 2715, 323, 12801, 269, 5115, 1388, 1125, 3890, 348, 693, 2715, 684, 1751, 26644, 3890, 348, 9538, 2020, 338, 2217, 32269, 19056, 815, 22207, 8339, 21860, 8443, 262, 305, 6504, 3299, 1412, 1839, 3299, 1412, 300, 3951, 3299, 1412, 20663, 3163, 262, 7481, 2745, 4433, 2217, 32269, 19056, 994, 0, 23136, 318, 1137, 815, 2715, 257, 305, 6504, 9899, 476, 2190, 267, 834, 3849, 600, 9899, 476, 1789, 267, 834, 2304, 928, 9899, 476, 2767, 8679, 2745, 6600, 5987, 318, 1137, 14277, 305, 6504, 19312, 2020, 23136, 318, 1137, 14277, 7692, 19312, 815, 476, 736, 454, 2745, 6600, 5987, 318, 1137, 2020, 325, 12188, 815, 1496, 2891, 305, 6504, 2580, 476, 2190, 1070, 9497, 3849, 600, 2580, 476, 1789, 1070, 9497, 2304, 928, 2580, 476, 2767, 264, 6540, 325, 12188, 318, 1137, 273, 815, 9598, 6600, 12188, 2020, 2745, 6600, 12188, 318, 1137, 273, 994, 0, 5814, 13483, 29411, 274, 7531, 5035, 18482, 912, 8931, 825, 1219, 6449, 8181, 9191, 1345, 264, 9847, 7183, 912, 1038, 1582, 26769, 3825, 815, 13483, 29411, 274, 269, 6618, 2891, 323, 520, 15390, 4732, 27942, 924, 274, 5602, 1038, 1582, 269, 19387, 815, 1582, 26769, 3825, 269, 19387, 10797, 825, 1219, 1711, 4671, 762, 4311, 267, 3349, 12173, 267, 2608, 3430, 3464, 2187, 1038, 8173, 2018, 946, 713, 1599, 547, 1711, 513, 6538, 3349, 780, 2018, 1488, 7714, 912, 3546, 3349, 12173, 630, 314, 1598, 316, 2567, 1496, 14456, 2012, 2639, 3546, 1140, 3464, 630, 314, 1598, 316, 2567, 1496, 3430, 1026, 2373, 540, 3349, 2639, 1038, 29185, 1038, 2119, 912, 2018, 1820, 2891, 17730, 3349, 907, 23528, 2018, 1582, 269, 19387, 20216, 31146, 18692, 3546, 535, 12163, 7386, 595, 3918, 12442, 570, 21764, 2715, 14456, 12173, 348, 630, 346, 3430, 3464, 348, 994 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 763, 2042, 2933, 616, 711, 7471, 883, 513, 1062, 269, 769, 4818, 26702, 15998, 540, 3069, 1796, 2427, 676, 2427, 1317, 8053, 525, 638, 24586, 1185, 711, 519, 10952, 1379, 540, 14335, 513, 1062, 267, 543, 519, 3498, 540, 1010, 3069, 547, 1804, 13999, 540, 3140, 2326, 568, 13061, 1317, 646, 1705, 711, 723, 519, 1379, 540, 11579, 7992, 873, 9691, 563, 763, 25385, 761, 964, 10753, 529, 568, 538, 922, 7811, 607, 1134, 607, 538, 922, 12170, 3344, 519, 960, 540, 513, 546, 850, 1777, 14397, 267, 855, 540, 513, 546, 850, 1777, 14397, 609, 15131, 267, 609, 20440, 267, 609, 513, 1390, 16880, 267, 543, 609, 513, 1166, 1515, 585, 519, 30304, 269, 8053, 525, 638, 24586, 729, 2312, 827, 519, 1966, 602, 5185, 1864, 269, 634, 4099, 540, 6214, 568, 812, 267, 543, 1018, 1010, 942, 2877, 729, 513, 2257, 540, 812, 269, 634, 10236, 1670, 2243, 568, 5189, 607, 519, 3844, 9836, 1888, 269, 1717, 267, 607, 4166, 607, 519, 11056, 540, 519, 1544, 862, 1878, 267, 649, 2196, 883, 519, 7965, 540, 513, 20248, 22424, 564, 550, 16166, 1793, 584, 2590, 936, 519, 2042, 269, 6611, 1281, 711, 11863, 513, 1900, 8386, 9912, 771, 550, 836, 1782, 540, 519, 30255, 1433, 594, 267, 2201, 16572, 538, 4937, 563, 296, 1590, 3277, 519, 5467, 547, 519, 3312, 543, 4927, 2285, 1152, 519, 6219, 540, 519, 4661, 563, 292, 6123, 540, 4521, 267, 7849, 543, 11572, 676, 7338, 20122, 15816, 630, 324, 1504, 994, 10048, 12851, 1785, 12147, 547, 1896, 26441, 281, 646, 568, 513, 2168, 1843, 267, 606, 3662, 267, 646, 814, 6457, 267, 513, 5837, 7209, 267, 543, 513, 5289, 7209, 5827, 540, 3909, 2833, 269, 901, 2497, 11887, 1010, 1894, 547, 1010, 1604, 538, 519, 11097, 652, 2631, 540, 519, 2262, 267, 16030, 2470, 267, 8284, 5443, 267, 543, 2696, 269, 634, 1894, 1063, 812, 543, 1010, 1604, 616, 18170, 676, 3652, 602, 723, 1044, 6378, 676, 519, 29763, 543, 602, 616, 3015, 547, 1480, 1702, 269, 1306, 812, 568, 2887, 1043, 267, 4617, 267, 543, 6766, 676, 18653, 267, 646, 568, 25964, 547, 8977, 689, 930, 540, 891, 3652, 269, 4935, 2484, 519, 1163, 3789, 540, 519, 14909, 2797, 543, 3540, 4031, 1522, 1267, 538, 1776, 2067, 1876, 4070, 563, 3719, 693, 713, 1448, 519, 1007, 3815, 540, 519, 1004, 568, 5189, 269, 634, 1004, 568, 22885, 593, 519, 1482, 7293, 3515, 607, 812, 267, 689, 922, 26430, 998, 922, 29525, 543, 544, 4141, 2720, 547, 922, 4984, 269, 10738, 519, 5943, 540, 2489, 1480, 2470, 267, 6082, 8428, 269, 1358, 616, 711, 3274, 18187, 553, 540, 835, 1776, 267, 855, 723, 1142, 741, 23141, 269, 898, 568, 519, 1148, 540, 519, 9777, 1807, 547, 3082, 519, 2797, 543, 3540, 4031, 547, 519, 6381, 540, 519, 2013, 269, 634, 2898, 540, 7648, 602, 519, 2489, 1876, 25457, 538, 519, 1184, 540, 922, 9542, 547, 519, 7293, 2609, 540, 606, 1367, 1004, 568, 1018, 8053, 525, 638, 24586, 7125, 519, 17611, 761, 540, 513, 3656, 1931, 476, 272, 563, 763, 7293, 2934, 602, 723, 513, 12946, 593, 519, 17611, 761, 540, 519, 4031, 2887, 883, 1079, 5049, 269, 589, 1004, 949, 581, 6896, 607, 513, 14081, 267, 513, 21257, 267, 610, 513, 964, 13607, 344, 269, 634, 2243, 540, 799, 1058, 581, 9053, 568, 5462, 676, 519, 2450, 540, 513, 1004, 269, 634, 3919, 540, 519, 25385, 761, 964, 10753, 529, 5205, 593, 519, 2898, 713, 1982, 269, 634, 7928, 10997, 602, 519, 960, 568, 585, 519, 3677, 851, 771, 23457, 616, 711, 20582, 269, 898, 568, 6896, 827, 607, 1134, 607, 621, 666, 581, 6236, 602, 519, 7811, 2042, 616, 1236, 5792, 609, 32668, 1202, 537, 857, 766, 563, 1103, 1022, 2013, 267, 519, 1259, 538, 799, 519, 3504, 5931, 941, 1224, 1131, 7866, 519, 1292, 2042, 540, 519, 2413, 2797, 6138, 269, 18830, 621, 267, 543, 922, 20237, 540, 2351, 6291, 267, 519, 14544, 540, 4436, 5169, 786, 15974, 547, 1174, 519, 17024, 607, 789, 1131, 1174, 2933, 269, 11048, 267, 1034, 540, 519, 12496, 2944, 676, 18135, 1380, 267, 20122, 15816, 1568, 3769, 267, 3132, 829, 14658, 640, 543, 581, 32612, 518, 618, 563, 14367, 8966, 543, 10636, 13454, 1259, 540, 1620, 519, 17024, 910, 5228, 606, 2079, 9003, 1759, 538, 1018, 568, 2854, 538, 741, 5931, 268, 519, 11556, 547, 2132, 547, 513, 8106, 2797, 6138, 543, 1010, 1019, 520, 11171, 1996, 7073, 640, 267, 1118, 519, 5467, 4898, 2436, 18135, 1380, 5128, 1185, 711, 1031, 519, 1965, 582, 20143, 1603, 4480, 269, 2334, 1373, 519, 2013, 267, 519, 18408, 646, 6534, 1223, 723, 1152, 1044, 1634, 547, 513, 2824, 1895, 540, 15748, 563, 763, 15689, 540, 4521, 267, 7849, 543, 7971, 545, 454, 8448, 3772, 267, 1010, 5376, 6776, 9371, 2982, 513, 1297, 540, 1651, 334, 515, 11750, 267, 930, 796, 344, 1752, 532, 5098, 543, 513, 2620, 2116, 2579, 538, 922, 7440, 269, 5272, 1353, 593, 20122, 15816, 1058, 1491, 267, 3976, 267, 607, 4358, 1448, 267, 513, 3903, 1063, 1079, 8925, 799, 18135, 1380, 4016, 547, 607, 2067, 2065, 7664, 543, 1480, 626, 7664, 563, 268, 8605, 3877, 3248, 268, 634, 4303, 594, 667, 1221, 563, 268, 634, 15689, 540, 4521, 267, 7849, 543, 7971, 545, 4586, 3528, 1797, 540, 519, 1101, 835, 267, 1010, 2797, 6138, 568, 2938, 5702, 4448, 547, 519, 2022, 12885, 646, 10953, 538, 824, 1568, 543, 602, 9305, 547, 519, 1007, 2067, 9443, 267, 15029, 676, 1739, 519, 2034, 835, 267, 1152, 1010, 1568, 4481, 6131, 547, 2797, 6927, 1131, 581, 3144, 883, 7156, 563, 1805, 571, 1380, 1281, 711, 12172, 799, 7664, 646, 27422, 610, 1058, 581, 519, 1034, 7850, 282, 2705, 267, 519, 7787, 640, 20122, 15816, 12857, 538, 519, 8086, 593, 6214, 267, 786, 581, 2938, 607, 513, 1129, 540, 1232, 611, 775, 540, 519, 2797, 6138, 269, 634, 7771, 540, 713, 1702, 568, 4986, 3116, 267, 547, 18135, 1380, 267, 982, 519, 3356, 540, 7073, 640, 267, 607, 1312, 3157, 1131, 1267, 21800, 543, 538, 29323, 1963, 269, 19793, 1324, 2797, 9322, 1131, 2285, 267, 2687, 547, 7585, 321, 1470, 267, 519, 10747, 4183, 547, 513, 1826, 540, 1379, 13539, 602, 568, 519, 7073, 3557, 563, 22746, 568, 519, 2797, 3069, 602, 11394, 547, 3715, 519, 4493, 540, 26117, 267, 8977, 532, 689, 7787, 7440, 910, 7474, 616, 3564, 3909, 610, 5837, 4978, 19985, 1367, 2065, 543, 540, 513, 1880, 5075, 593, 1480, 2470, 269, 9521, 824, 4207, 12496, 267, 7585, 321, 1470, 13455, 602, 20122, 15816, 11542, 856, 607, 2797, 14544, 267, 538, 19220, 540, 2348, 2813, 513, 1062, 540, 10952, 2219, 602, 3769, 519, 1353, 540, 519, 1560, 267, 519, 812, 543, 602, 1131, 1291, 547, 519, 1353, 540, 6214, 563, 1103, 713, 2631, 267, 1152, 519, 2063, 851, 1131, 723, 1044, 2919, 538, 513, 4625, 543, 7533, 6073, 267, 7064, 547, 513, 1895, 540, 1568, 10838, 799, 1880, 3007, 267, 2687, 547, 7585, 321, 1470, 267, 1058, 581, 6537, 547, 519, 16637, 775, 540, 519, 1546, 595, 633, 269, 634, 7969, 7548, 2141, 12006, 519, 21644, 540, 713, 960, 607, 646, 2808, 621, 519, 1034, 5214, 543, 4630, 18100, 540, 782, 1614, 563, 3891, 2219, 602, 713, 960, 814, 28322, 689, 519, 1249, 540, 2348, 1044, 22885, 607, 851, 540, 606, 7533, 10952, 1062, 267, 799, 13752, 621, 519, 1062, 520, 5314, 267, 6677, 1707, 543, 9355, 519, 824, 1079, 1568, 3668, 269, 1403, 2274, 12858, 11936, 1732, 8761, 519, 30493, 543, 21184, 540, 20122, 15816, 267, 1546, 595, 633, 2982, 519, 8325, 1145, 540, 1010, 4987, 543, 1010, 6612, 585, 9266, 8856, 282, 2094, 621, 1185, 1044, 22885, 585, 519, 3864, 2144, 644, 924, 267, 2864, 982, 585, 1010, 8284, 4961, 563, 1103, 1010, 4674, 540, 18949, 532, 519, 1949, 540, 8106, 2219, 267, 7585, 321, 1470, 1140, 6479, 547, 519, 6228, 540, 1797, 540, 2792, 1063, 2797, 28466, 689, 513, 3126, 540, 840, 21232, 725, 543, 1455, 4690, 23344, 14344, 519, 3140, 9883, 602, 5094, 873, 563, 763, 2079, 540, 519, 1034, 1271, 2035, 540, 519, 2797, 6138, 27648, 267, 585, 519, 7969, 7548, 267, 711, 1152, 606, 3730, 1907, 547, 3068, 4890, 7811, 2042, 855, 849, 513, 1611, 547, 4688, 519, 27825, 689, 9991, 883, 21933, 643, 542, 610, 519, 9048, 23428, 789, 616, 2356, 28715, 547, 950, 9833, 689, 606, 23494, 8978, 626, 1448, 540, 2070, 269, 3245, 513, 1114, 5086, 547, 24955, 18135, 1380, 267, 945, 6836, 547, 3715, 513, 2245, 540, 8106, 2219, 538, 513, 7453, 2631, 267, 7585, 321, 1470, 3908, 5128, 547, 13182, 519, 10083, 2016, 547, 513, 1297, 540, 4589, 602, 1223, 723, 1044, 2808, 27825, 281, 18573, 267, 17127, 267, 7557, 807, 767, 2993, 267, 20122, 15816, 267, 28676, 267, 8053, 525, 638, 24586, 267, 681, 28907, 879, 267, 23006, 543, 670, 1122, 601, 563, 4002, 519, 824, 1688, 267, 519, 598, 10811, 542, 602, 1131, 2291, 1063, 519, 1292, 2152, 540, 2797, 7156, 910, 1492, 865, 10777, 18596, 4798, 268, 1223, 4196, 607, 4493, 585, 519, 11840, 566, 540, 513, 2489, 3069, 269, 634, 5169, 1275, 540, 519, 20122, 321, 14198, 2797, 6138, 568, 8612, 676, 7585, 321, 1470, 689, 519, 4334, 540, 1079, 3631, 799, 616, 267, 593, 519, 835, 2427, 267, 519, 2203, 6069, 676, 17127, 538, 1010, 15348, 268, 602, 1131, 2611, 2394, 519, 2473, 23997, 2540, 268, 543, 267, 593, 519, 824, 267, 519, 835, 6069, 676, 519, 7787, 626, 2245, 540, 2067, 1876, 267, 4358, 609, 18018, 334, 717, 8527, 3780, 855, 538, 799, 17706, 1235, 513, 3126, 540, 4589, 543, 6436, 609, 1271, 3604, 563, 763, 1455, 1448, 540, 891, 15806, 786, 581, 13890, 676, 519, 946, 267, 585, 519, 1101, 942, 267, 540, 513, 7787, 1505, 547, 2263, 5837, 267, 1876, 543, 6214, 267, 607, 952, 789, 941, 519, 1843, 540, 1353, 540, 513, 3087, 894, 2257, 269, 1677, 9585, 713, 6662, 267, 2043, 786, 723, 547, 9844, 547, 29997, 547, 513, 851, 540, 519, 5191, 543, 7862, 789, 2972, 538, 519, 1533, 540, 2470, 267, 538, 1931, 547, 581, 2111, 547, 10205, 621, 998, 519, 5137, 540, 606, 5841, 1373, 281, 519, 3557, 269, 589, 2219, 602, 2141, 5795, 4055, 547, 8969, 2443, 553, 519, 1655, 16185, 547, 2915, 3901, 3359, 543, 4909, 3359, 268, 543, 602, 6836, 547, 1246, 513, 3621, 1843, 2032, 563, 22746, 6560, 1131, 14377, 883, 11654, 519, 2500, 5168, 540, 519, 3364, 1354, 13197, 1018, 649, 4952, 540, 621, 267, 844, 7627, 1010, 1378, 1913, 269, 7324, 560, 891, 267, 513, 1455, 6161, 666, 581, 8068, 538, 9306, 519, 2042, 998, 8424, 540, 6587, 2035, 267, 971, 607, 281, 1533, 540, 2470, 2275, 2753, 1533, 267, 32469, 10595, 640, 267, 606, 8944, 19195, 267, 2112, 24406, 864, 269, 898, 568, 711, 827, 519, 1367, 9562, 6862, 827, 519, 1620, 540, 519, 1367, 607, 513, 6071, 7787, 1528, 528, 267, 1813, 547, 519, 1249, 602, 3297, 891, 10297, 835, 666, 13498, 519, 4527, 540, 606, 16809, 1759, 593, 1863, 6735, 543, 19908, 1063, 2043, 910, 6518, 14883, 519, 9759, 540, 519, 7554, 2813, 538, 513, 2486, 896, 513, 2344, 4346, 268, 610, 606, 3351, 9107, 5075, 602, 267, 547, 7585, 321, 1470, 267, 1131, 1267, 5786, 626, 563, 763, 1367, 1143, 29846, 676, 713, 2278, 568, 2802, 545, 543, 11180, 267, 1317, 621, 5531, 338, 2609, 17640, 547, 519, 23006, 1014, 6138, 2443, 7945, 607, 519, 10206, 540, 1480, 15683, 268, 543, 10905, 873, 609, 1978, 2093, 602, 4866, 547, 519, 20122, 321, 14198, 6138, 269, 769, 713, 2463, 267, 646, 18931, 519, 5841, 2470, 540, 519, 3557, 543, 519, 4521, 607, 1797, 585, 519, 1128, 4768, 566, 540, 8155, 602, 1131, 2327, 1514, 4708, 1247, 267, 693, 519, 1482, 942, 267, 646, 2808, 891, 1058, 2463, 519, 13190, 540, 782, 2043, 607, 14064, 1881, 267, 11224, 543, 1863, 7919, 269, 1323, 7664, 17396, 609, 519, 20237, 540, 9111, 267, 12683, 1143, 267, 15698, 543, 7862, 282, 2418, 609, 799, 7585, 321, 1470, 2141, 5433, 5128, 4857, 609, 563, 288, 1434, 1383, 540, 621, 1131, 581, 1010, 7829, 540, 519, 2078, 1063, 20122, 15816, 543, 3656, 27082, 13659, 269, 769, 519, 2776, 2183, 547, 1010, 960, 7338, 20122, 15816, 267, 7585, 321, 1470, 2771, 1622, 602, 519, 5689, 6996, 12064, 1589, 518, 568, 13883, 6251, 547, 519, 3656, 27082, 13659, 982, 547, 519, 2067, 1876, 269, 9122, 593, 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 ]
[ 621, 568, 540, 513, 2123, 2470, 543, 1100, 2804, 1719, 568, 8179, 538, 621, 563, 15650, 540, 6800, 676, 5626, 2623, 454, 1607, 1826, 540, 7082, 814, 513, 2565, 6891, 267, 602, 568, 267, 1354, 11449, 513, 1434, 610, 3028, 267, 1369, 519, 3375, 6194, 1184, 267, 646, 27786, 519, 2640, 602, 621, 666, 1683, 547, 3313, 519, 4110, 540, 2123, 9547, 602, 621, 1131, 8007, 1864, 563, 6944, 9009, 547, 519, 3105, 2013, 267, 713, 7140, 856, 547, 581, 606, 19450, 1826, 7082, 267, 538, 519, 6718, 1184, 621, 1152, 1073, 324, 903, 25372, 602, 17589, 689, 513, 2009, 5626, 4524, 267, 602, 568, 267, 789, 1831, 7925, 547, 519, 865, 10777, 5626, 12153, 602, 16578, 519, 6718, 1510, 2348, 1852, 540, 519, 9276, 6383, 547, 3489, 1767, 5370, 543, 2533, 563, 763, 6718, 540, 5370, 543, 2533, 1034, 540, 519, 942, 568, 2944, 1510, 1022, 7787, 5748, 267, 585, 1383, 267, 789, 798, 711, 2731, 1589, 827, 519, 2640, 602, 519, 1249, 540, 16565, 602, 1434, 610, 3028, 1131, 5352, 267, 865, 593, 1082, 14026, 621, 530, 1389, 596, 909, 538, 713, 1826, 540, 7082, 267, 513, 4743, 540, 16203, 1310, 519, 6718, 267, 585, 711, 1175, 4328, 621, 563, 1607, 568, 519, 2012, 2016, 547, 1346, 6800, 945, 267, 4352, 789, 949, 18613, 519, 3105, 2013, 267, 723, 513, 1880, 8984, 281, 789, 4444, 585, 519, 2241, 1249, 540, 13844, 513, 1978, 12257, 269, 26361, 782, 267, 1020, 513, 2631, 540, 10362, 547, 602, 1880, 1434, 610, 3028, 602, 12958, 513, 1978, 5626, 4567, 12018, 741, 1582, 12635, 269, 1306, 538, 519, 3105, 2013, 267, 513, 4743, 540, 1121, 16017, 568, 6383, 1310, 519, 6718, 563, 15650, 540, 6800, 2687, 547, 741, 14017, 454, 5445, 723, 513, 14047, 783, 30651, 593, 519, 6718, 20949, 538, 606, 19450, 1259, 543, 621, 568, 519, 6216, 538, 2243, 540, 519, 1434, 610, 3028, 269, 15952, 14017, 2306, 621, 7543, 585, 873, 547, 4444, 513, 1587, 602, 568, 689, 1776, 6216, 267, 865, 519, 6216, 22179, 811, 593, 741, 6718, 3375, 543, 711, 519, 3902, 563, 2005, 814, 930, 16726, 609, 519, 3105, 2013, 269, 634, 3017, 568, 538, 519, 1249, 602, 789, 1445, 811, 593, 519, 3334, 540, 1767, 1434, 610, 3028, 267, 16046, 621, 547, 519, 6216, 282, 543, 741, 2623, 538, 519, 6718, 1184, 12153, 602, 952, 519, 1587, 568, 856, 540, 6006, 267, 789, 798, 711, 3442, 547, 1020, 1776, 6718, 540, 513, 2147, 1587, 538, 2474, 540, 6216, 543, 4162, 563, 1607, 1826, 540, 7082, 759, 2176, 547, 9140, 12212, 267, 602, 568, 267, 789, 666, 12990, 513, 6216, 543, 616, 4481, 1759, 593, 4466, 513, 1434, 610, 3028, 602, 666, 5612, 14183, 513, 991, 602, 21256, 693, 602, 4090, 563, 5445, 616, 1346, 2010, 540, 6800, 945, 616, 3622, 1930, 547, 1007, 2115, 543, 5924, 2472, 610, 2533, 269, 1452, 1007, 2115, 949, 8451, 1813, 547, 2348, 3152, 11449, 1379, 610, 1813, 547, 2242, 538, 741, 1268, 543, 5924, 1920, 13540, 563, 15650, 540, 6800, 676, 741, 4616, 454, 17829, 6800, 945, 267, 676, 741, 2470, 267, 3343, 547, 723, 513, 1826, 540, 3063, 1121, 684, 3130, 585, 513, 1978, 1434, 610, 3028, 267, 602, 568, 267, 789, 786, 2141, 3343, 267, 538, 1840, 547, 17598, 741, 991, 267, 547, 581, 2111, 547, 723, 513, 13075, 2132, 585, 519, 6718, 602, 814, 1044, 1500, 267, 616, 3976, 3989, 563, 5445, 616, 1346, 6800, 945, 1118, 513, 6718, 540, 513, 1808, 1434, 610, 3028, 267, 609, 519, 6852, 3483, 540, 8720, 741, 2596, 2115, 269, 2986, 1576, 267, 789, 616, 1759, 593, 519, 23350, 540, 2760, 1818, 513, 6718, 602, 789, 2015, 11991, 693, 519, 942, 543, 585, 713, 789, 6529, 547, 513, 24441, 6578, 563, 5445, 3343, 519, 11601, 540, 513, 1808, 1434, 610, 3028, 602, 12958, 513, 10018, 540, 2298, 543, 693, 519, 1482, 942, 10953, 538, 519, 1367, 543, 1010, 1604, 513, 2631, 540, 17195, 543, 267, 18867, 267, 513, 2631, 540, 4502, 538, 513, 1732, 1514, 4567, 269, 769, 519, 2460, 540, 519, 6578, 267, 789, 616, 1930, 547, 7836, 1804, 18304, 540, 2724, 585, 621, 267, 2436, 789, 723, 621, 538, 6666, 610, 18992, 547, 519, 5491, 1062, 563, 305, 1430, 982, 3206, 827, 519, 7525, 2640, 602, 971, 513, 1587, 610, 3028, 666, 5352, 267, 789, 15666, 547, 519, 7954, 602, 621, 786, 5352, 1871, 585, 873, 538, 2486, 267, 585, 713, 2601, 267, 789, 666, 849, 581, 2808, 19450, 543, 5924, 791, 14601, 7919, 563, 15650, 540, 3075, 3755, 454, 1607, 568, 3989, 607, 1346, 1004, 945, 267, 1369, 741, 3075, 946, 6208, 267, 798, 865, 12150, 569, 1369, 513, 1305, 942, 2039, 269, 2334, 568, 547, 2161, 267, 789, 666, 723, 1792, 6545, 538, 799, 789, 8532, 5061, 11179, 543, 585, 513, 1978, 942, 267, 3247, 10438, 621, 585, 513, 1279, 942, 543, 865, 593, 267, 513, 7814, 673, 2623, 568, 6383, 563, 5445, 616, 3976, 1634, 547, 602, 7082, 945, 267, 1813, 547, 1585, 6381, 267, 759, 2176, 547, 519, 4616, 540, 513, 1978, 3075, 585, 519, 1101, 942, 267, 602, 568, 267, 789, 798, 865, 593, 741, 1378, 11036, 610, 1813, 547, 1022, 1826, 540, 1514, 610, 5626, 2604, 269, 1358, 949, 610, 949, 711, 18992, 547, 519, 946, 540, 1767, 3075, 1586, 610, 1152, 723, 2944, 621, 585, 519, 1101, 942, 563, 5445, 616, 1346, 6800, 849, 1572, 968, 323, 2607, 1673, 2570, 757, 5608, 945, 18992, 547, 3075, 946, 20443, 569, 538, 513, 3586, 942, 543, 2230, 267, 585, 799, 513, 1360, 2178, 13798, 2570, 1890, 10953, 267, 7488, 540, 519, 12214, 267, 5626, 610, 1514, 2360, 602, 891, 2014, 269, 6902, 789, 15991, 1294, 519, 7872, 540, 6028, 519, 6219, 563, 2005, 4016, 547, 602, 1826, 540, 7082, 945, 20443, 569, 27499, 513, 1978, 1826, 540, 3075, 936, 513, 1974, 540, 942, 543, 267, 693, 519, 1482, 942, 267, 568, 1930, 547, 519, 7872, 540, 16565, 824, 2010, 540, 2618, 32430, 6878, 269, 898, 568, 2352, 585, 713, 1826, 540, 13982, 547, 3247, 1210, 5061, 267, 865, 952, 789, 1616, 547, 3247, 3257, 865, 267, 789, 1131, 723, 547, 2490, 547, 4648, 538, 519, 2361, 269, 0, 11742, 1299, 634, 3353, 14459, 910, 634, 4521, 540, 5384, 538, 5274, 16457, 454, 2421, 8277, 1488, 7666, 21304, 267, 1912, 6185, 563, 288, 14262, 1353, 602, 30193, 519, 2067, 942, 540, 519, 26355, 689, 5841, 2964, 2065, 942, 563, 268, 32672, 1023, 5181, 476, 1556, 607, 519, 5365, 540, 519, 1439, 540, 5841, 942, 2687, 547, 519, 4521, 540, 5384, 563, 268, 7043, 19179, 1243, 3524, 601, 547, 519, 2278, 781, 1655, 18522, 1433, 634, 2904, 534, 16748, 563, 268, 4112, 1622, 519, 4279, 25038, 7827, 540, 476, 1220, 275, 543, 922, 11999, 1761, 585, 519, 2104, 540, 8103, 563, 1103, 5384, 543, 519, 3353, 14459, 267, 21280, 2946, 14803, 6686, 21304, 6799, 513, 14262, 1353, 602, 30193, 519, 2067, 942, 540, 519, 26355, 689, 519, 5841, 2964, 2065, 942, 896, 799, 649, 4867, 2661, 269, 14803, 6686, 21304, 11225, 519, 4890, 2470, 540, 942, 607, 519, 4908, 540, 15222, 1436, 269, 16792, 713, 4521, 540, 5384, 547, 606, 1620, 540, 519, 3003, 1062, 540, 1272, 593, 3047, 267, 646, 2982, 602, 538, 1931, 547, 711, 6861, 3047, 781, 2702, 547, 2844, 1272, 267, 649, 1590, 1689, 938, 4214, 540, 942, 543, 9772, 513, 2067, 23191, 11706, 1759, 593, 519, 476, 1724, 2173, 3019, 476, 2764, 6377, 4783, 269, 19402, 519, 5137, 540, 519, 15535, 20187, 11706, 543, 519, 476, 2568, 18826, 5662, 267, 1034, 540, 8103, 5030, 676, 519, 476, 2764, 6377, 4783, 540, 2067, 942, 269, 634, 10073, 540, 5841, 942, 814, 16271, 721, 547, 513, 476, 1321, 281, 2568, 942, 4908, 602, 1754, 985, 519, 3003, 2518, 4853, 1242, 10340, 734, 1492, 1099, 14459, 563, 4415, 519, 12900, 540, 519, 3828, 514, 570, 10183, 593, 5181, 476, 1556, 267, 513, 535, 1170, 675, 729, 2813, 538, 713, 5841, 1099, 14459, 267, 6679, 909, 519, 1100, 14459, 630, 24618, 781, 2790, 23508, 1916, 14549, 640, 814, 513, 11344, 4316, 547, 4734, 519, 1193, 1057, 540, 519, 2250, 543, 4283, 513, 942, 540, 4708, 676, 12561, 513, 18900, 2067, 11706, 602, 786, 7816, 519, 14796, 3361, 676, 519, 12150, 32171, 540, 1099, 2214, 8879, 942, 269, 3776, 2063, 1655, 4960, 547, 9772, 713, 2067, 942, 543, 1900, 883, 519, 6505, 1007, 2104, 16219, 676, 519, 7523, 12519, 6521, 540, 476, 1001, 273, 568, 519, 4279, 25038, 7827, 540, 476, 1220, 275, 267, 513, 1007, 6602, 1759, 593, 519, 2278, 781, 6310, 1382, 883, 519, 2904, 534, 11706, 1101, 13175, 538, 1010, 19506, 960, 634, 2904, 534, 16748, 269, 769, 5384, 543, 519, 3353, 14459, 267, 14803, 6686, 21304, 8761, 519, 2312, 11984, 1063, 3791, 8820, 24666, 942, 543, 519, 8772, 8820, 5348, 577, 3055, 1931, 540, 519, 4521, 540, 5384, 267, 799, 6585, 11999, 1761, 585, 519, 2104, 540, 8103, 269, 0, 295, 784, 15158, 568, 1863, 540, 519, 9269, 2770, 602, 10969, 730, 922, 16738, 2872, 2063, 1032, 267, 6054, 5950, 547, 519, 8433, 4139, 964, 9210, 714, 2393, 625, 723, 7150, 563, 18744, 2947, 17061, 540, 26624, 14798, 3644, 8833, 670, 276, 301, 272, 941, 9571, 538, 519, 5449, 5177, 12733, 1282, 5412, 476, 1220, 273, 543, 5130, 476, 1220, 274, 538, 16738, 6990, 543, 11396, 267, 543, 1100, 2417, 2665, 723, 1044, 9571, 2094, 476, 4029, 5130, 563, 10890, 8128, 1031, 31741, 267, 26718, 267, 12674, 543, 5464, 547, 844, 749, 519, 15435, 269, 1703, 568, 849, 606, 5571, 13178, 1062, 593, 15173, 15158, 16738, 11396, 267, 17783, 1446, 543, 10685, 16738, 6990, 269, 18873, 616, 5340, 593, 5439, 689, 936, 476, 277, 267, 1822, 17944, 543, 824, 16738, 1142, 3923, 269, 0, 1805, 21880, 28517, 3119, 1416, 1522, 711, 8209, 1611, 1732, 4093, 267, 513, 1007, 2475, 1353, 2982, 563, 19950, 5944, 267, 17051, 941, 1447, 2693, 547, 1294, 513, 3119, 1416, 3714, 6509, 982, 16543, 1765, 3583, 269, 275, 2600, 1185, 693, 2547, 835, 5993, 3643, 538, 476, 1220, 274, 268, 5881, 3379, 609, 476, 4281, 269, 272, 2600, 585, 16543, 1765, 12671, 476, 1556, 2600, 811, 982, 17051, 267, 1498, 972, 941, 930, 17756, 1932, 563, 288, 1007, 1867, 689, 519, 667, 691, 17625, 25304, 5741, 2982, 602, 5355, 1569, 547, 3119, 1416, 4805, 1281, 711, 2141, 1832, 1004, 609, 5312, 2175, 856, 540, 519, 6413, 267, 2087, 741, 8458, 540, 3478, 519, 6099, 1416, 5227, 585, 741, 2783, 267, 610, 2087, 1072, 4093, 563, 257, 5978, 4681, 2303, 602, 519, 4182, 781, 3119, 1416, 17211, 4465, 1405, 581, 12193, 676, 3274, 2810, 1569, 547, 3119, 1416, 267, 2901, 676, 20993, 519, 1297, 540, 3119, 1416, 13500, 538, 606, 1858, 610, 676, 4180, 602, 1034, 2550, 723, 1732, 6142, 3795, 2437, 1767, 6424, 595, 269, 6153, 2006, 267, 631, 6185, 1421, 631, 2529, 1421, 1291, 2278, 543, 1071, 17376, 4532, 7625, 31375, 585, 519, 667, 691, 17625, 25304, 5741, 269, 834, 303, 32123, 1058, 849, 1445, 593, 5355, 519, 4890, 2533, 3119, 1416, 19353, 1683, 543, 1818, 2386, 741, 3646, 616, 20291, 609, 1346, 540, 824, 7426, 267, 1519, 12665, 267, 11923, 543, 10506, 4799, 32381, 540, 5198, 543, 4747, 267, 2550, 4309, 1416, 540, 4922, 8795, 2298, 4470, 2390, 1141, 789, 2661, 543, 519, 1072, 1062, 602, 2488, 741, 1416, 269, 4438, 519, 1867, 1974, 267, 476, 6507, 269, 277, 2600, 540, 18689, 25808, 1185, 606, 5993, 3643, 547, 513, 3119, 1416, 3714, 6509, 267, 855, 2550, 262, 8458, 540, 606, 5993, 3119, 1416, 3643, 9867, 4922, 4470, 2390, 1141, 789, 5030, 269, 634, 2557, 540, 3119, 1416, 11564, 24132, 689, 827, 476, 2568, 2600, 540, 18689, 25808, 538, 519, 17588, 343, 267, 715, 28629, 269, 543, 24607, 547, 5176, 476, 3445, 2600, 538, 12070, 2719, 2023, 267, 715, 5861, 269, 543, 23509, 267, 590, 5861, 23102, 12671, 513, 476, 2004, 2600, 3017, 1063, 519, 5207, 543, 9803, 4525, 563, 763, 2078, 1063, 519, 829, 21027, 3761, 540, 2698, 3119, 1416, 13500, 543, 519, 2600, 540, 24310, 18689, 25808, 945, 1185, 693, 2547, 835, 5993, 3643, 609, 513, 3119, 1416, 3714, 6509, 1282, 476, 1220, 274, 268, 5881, 5267, 602, 972, 568, 1100, 9756, 1063, 519, 3761, 540, 13500, 543, 1569, 547, 3119, 1416, 563, 21202, 4122, 11855, 2601, 585, 519, 2647, 8390, 538, 1569, 547, 3119, 1416, 568, 513, 17732, 540, 19353, 267, 3226 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 581, 1500, 909, 676, 1283, 27677, 577, 5640, 269, 3550, 602, 707, 1957, 568, 3501, 269, 2142, 2386, 547, 1331, 782, 519, 2556, 5013, 543, 5515, 538, 707, 3498, 269, 0, 3528, 7225, 603, 632, 808, 5282, 717, 4821, 454, 291, 9233, 723, 10483, 812, 585, 693, 2547, 476, 1428, 267, 1822, 1296, 267, 950, 789, 7153, 689, 1851, 519, 803, 2131, 652, 267, 1034, 8049, 610, 5461, 20384, 945, 14059, 519, 17260, 540, 938, 11937, 269, 4595, 1287, 267, 789, 723, 1044, 851, 540, 519, 1480, 1920, 267, 3384, 1114, 1514, 1983, 602, 1450, 873, 547, 5968, 543, 28111, 609, 721, 899, 1100, 824, 2249, 568, 5827, 540, 269, 1280, 1383, 267, 789, 1106, 3929, 7554, 609, 741, 5411, 267, 789, 616, 6213, 547, 938, 17267, 543, 789, 616, 1634, 547, 5431, 938, 4664, 538, 11132, 7215, 269, 4746, 267, 789, 2119, 547, 5968, 609, 1004, 267, 5275, 741, 3007, 610, 7432, 547, 873, 950, 789, 991, 948, 6061, 513, 1966, 563, 3719, 1141, 1281, 782, 602, 1914, 1464, 2097, 689, 286, 1772, 621, 1945, 17916, 610, 568, 621, 9715, 1282, 519, 2069, 540, 519, 3662, 286, 12824, 3494, 602, 782, 891, 1514, 1983, 723, 513, 4719, 4493, 267, 607, 1256, 29067, 616, 2111, 547, 1224, 1480, 2792, 6786, 1247, 20384, 3112, 267, 1256, 1498, 789, 616, 1031, 547, 519, 4527, 540, 812, 563, 3086, 267, 513, 2319, 689, 13017, 7238, 4771, 2160, 538, 13785, 814, 4857, 2947, 6090, 1644, 547, 519, 1514, 1983, 540, 938, 1655, 2828, 543, 621, 7140, 856, 267, 19599, 267, 602, 538, 3425, 930, 540, 873, 616, 5532, 547, 8965, 4713, 267, 971, 607, 10295, 267, 18624, 610, 14699, 538, 10708, 609, 3007, 17211, 4524, 563, 763, 1883, 6090, 454, 9202, 267, 519, 25450, 540, 476, 5002, 581, 24346, 941, 9916, 538, 1018, 568, 1572, 513, 11646, 17253, 7681, 1353, 630, 294, 310, 3008, 1070, 543, 519, 3173, 4857, 1079, 4525, 602, 2270, 513, 2698, 540, 2947, 11134, 6090, 602, 949, 581, 1644, 547, 1346, 1514, 5615, 269, 1280, 1383, 267, 513, 4719, 15262, 1369, 519, 10323, 313, 277, 299, 5444, 814, 547, 798, 609, 942, 6170, 538, 2168, 3346, 609, 3425, 267, 1247, 1079, 824, 12508, 538, 519, 8121, 309, 20003, 5444, 941, 5532, 547, 519, 3406, 585, 1480, 3346, 269, 21452, 267, 891, 6090, 543, 1866, 1336, 538, 519, 1482, 3095, 720, 7161, 1860, 1514, 1983, 538, 3425, 267, 543, 616, 1644, 547, 10295, 8552, 4713, 267, 18624, 610, 26490, 4369, 563, 763, 2164, 267, 607, 4080, 676, 519, 4589, 538, 519, 4760, 11660, 7797, 267, 8774, 1769, 593, 602, 1360, 2027, 2078, 1063, 3425, 543, 5243, 267, 543, 949, 948, 547, 1174, 711, 1152, 519, 29143, 1709, 1184, 855, 849, 930, 4713, 540, 1480, 2623, 269, 0, 2690, 713, 1957, 594, 786, 581, 7234, 1614, 9954, 269, 5445, 616, 8381, 1809, 7815, 676, 22374, 13130, 2917, 267, 19992, 9835, 2742, 779, 5600, 676, 27722, 590, 9369, 267, 543, 631, 22395, 676, 10906, 21674, 15660, 786, 581, 6313, 519, 1455, 6249, 594, 1336, 2429, 519, 1614, 9954, 15660, 1336, 602, 547, 581, 875, 519, 14077, 4001, 4245, 547, 741, 6935, 540, 513, 7820, 5108, 543, 519, 1114, 4485, 547, 741, 3450, 563, 2414, 1376, 1055, 594, 786, 1865, 519, 8381, 1809, 7815, 676, 22374, 13130, 2917, 15660, 3494, 519, 1259, 519, 4651, 6026, 519, 5067, 729, 930, 1018, 899, 606, 29095, 1222, 7868, 1899, 968, 296, 729, 707, 25961, 267, 543, 602, 1101, 1032, 1284, 5249, 32300, 998, 1034, 540, 5162, 892, 5795, 803, 519, 12705, 602, 621, 729, 513, 4585, 543, 1451, 1995, 2864, 982, 7713, 621, 269, 6875, 4063, 540, 875, 519, 4651, 14059, 519, 9073, 1500, 676, 1010, 5067, 31422, 296, 535, 537, 1194, 909, 930, 13819, 2899, 267, 2560, 2791, 13264, 873, 856, 609, 513, 11381, 892, 594, 1745, 4951, 519, 2942, 4743, 594, 3893, 950, 594, 1224, 519, 6648, 563, 6546, 849, 2306, 803, 3494, 602, 621, 729, 606, 29095, 1222, 269, 2414, 803, 3237, 1256, 952, 789, 1205, 13347, 693, 1945, 596, 798, 267, 1810, 1406, 979, 827, 1919, 538, 602, 2339, 7868, 5067, 729, 3843, 547, 1451, 1945, 689, 1010, 4651, 543, 2864, 982, 7713, 543, 6029, 519, 5067, 875, 547, 798, 621, 7157, 610, 519, 9073, 646, 1500, 519, 4651, 30001, 519, 960, 269, 3767, 5196, 519, 2034, 6648, 799, 568, 19992, 9835, 2742, 779, 5600, 676, 27722, 590, 9369, 7868, 20516, 779, 1935, 547, 3450, 1200, 1178, 2738, 517, 513, 3992, 568, 547, 10726, 621, 856, 540, 1864, 563, 763, 6648, 5693, 2829, 968, 335, 684, 3481, 803, 1063, 519, 4064, 892, 799, 568, 1114, 689, 519, 4651, 779, 1935, 538, 519, 8381, 1809, 7815, 2529, 515, 5701, 1200, 1178, 2738, 517, 519, 1259, 646, 729, 8156, 3388, 3116, 2529, 515, 4941, 547, 1305, 1864, 2269, 527, 543, 2965, 4001, 1864, 513, 3992, 269, 6546, 729, 8810, 538, 519, 1913, 968, 4131, 803, 948, 596, 563, 892, 763, 4651, 689, 519, 8381, 1809, 7815, 8604, 3592, 20714, 539, 1317, 646, 4769, 1406, 1491, 519, 942, 547, 4368, 519, 9073, 269, 6546, 729, 7152, 538, 519, 1899, 968, 342, 8283, 14604, 2507, 2791, 13264, 873, 856, 609, 513, 11381, 1848, 4263, 1034, 646, 6645, 1010, 5067, 621, 936, 543, 936, 2864, 982, 6029, 1864, 31422, 9288, 5501, 7466, 267, 2759, 2899, 269, 2791, 1767, 621, 513, 4627, 2053, 892, 594, 3494, 602, 6148, 952, 646, 1131, 723, 4951, 1864, 621, 267, 621, 1131, 723, 1044, 1114, 563, 1103, 519, 3791, 6648, 267, 631, 22395, 676, 10906, 21674, 519, 22516, 3217, 513, 1875, 8686, 2723, 550, 1935, 7868, 22516, 779, 3450, 1505, 568, 547, 2995, 1010, 1178, 2738, 517, 4010, 875, 547, 957, 31422, 7069, 22516, 1767, 547, 803, 607, 649, 2893, 593, 519, 530, 6782, 10160, 267, 2048, 6826, 2386, 547, 3314, 547, 2141, 3717, 547, 3025, 596, 2743, 685, 892, 4951, 1010, 1463, 1935, 7868, 22516, 849, 13736, 1018, 646, 840, 3737, 7868, 1899, 2048, 14187, 1554, 267, 27205, 269, 14187, 1554, 6993, 5386, 1554, 685, 9863, 602, 646, 2731, 1705, 3717, 547, 3025, 646, 1558, 20136, 568, 1175, 835, 1383, 267, 1310, 1169, 6073, 3992, 646, 5795, 1010, 1178, 2738, 517, 621, 5795, 606, 1383, 540, 1864, 2965, 3257, 621, 15660, 3494, 602, 713, 1505, 5249, 519, 1655, 269, 4263, 519, 4098, 621, 729, 519, 22516, 602, 12038, 2509, 519, 1439, 621, 5828, 547, 968, 933, 22551, 539, 2048, 14187, 1554, 256, 685, 892, 2005, 1256, 2829, 602, 789, 1312, 723, 1434, 25654, 693, 519, 1439, 15660, 1336, 6169, 547, 602, 538, 519, 1899, 968, 553, 938, 1434, 25654, 2838, 1848, 2353, 1614, 540, 891, 9954, 1185, 1114, 3450, 2409, 585, 519, 7820, 5108, 16638, 519, 8381, 1809, 7815, 519, 4651, 729, 711, 2731, 3551, 610, 13047, 827, 621, 11482, 833, 594, 7150, 4505, 950, 1010, 5067, 1500, 9073, 2864, 982, 10213, 610, 6029, 1864, 1018, 646, 1705, 4636, 519, 4651, 3079, 269, 0, 24127, 17886, 5788, 11354, 476, 4198, 272, 5788, 7089, 476, 274, 454, 763, 715, 675, 3088, 326, 20048, 1834, 454, 734, 297, 15121, 301, 681, 269, 681, 4785, 306, 21822, 454, 763, 7732, 814, 5063, 3773, 547, 922, 4686, 26247, 4015, 835, 540, 519, 1034, 4583, 6957, 18818, 10601, 2835, 267, 763, 715, 675, 3088, 326, 20048, 1834, 269, 634, 2027, 2508, 3177, 676, 14077, 543, 2828, 540, 3220, 269, 543, 11427, 269, 19743, 1090, 744, 3149, 534, 729, 1031, 585, 713, 6718, 267, 543, 713, 1433, 3976, 26082, 519, 1895, 540, 1651, 684, 629, 3121, 2907, 12349, 585, 519, 7066, 5501, 18740, 538, 3965, 540, 3220, 269, 543, 11427, 269, 744, 3149, 534, 269, 898, 568, 513, 1360, 17501, 1840, 547, 713, 4015, 267, 711, 9003, 1317, 621, 568, 835, 540, 519, 1390, 2835, 3370, 538, 519, 6957, 18818, 2540, 267, 855, 849, 1317, 621, 729, 2854, 676, 513, 10629, 543, 2882, 1454, 1344, 827, 2257, 543, 4915, 267, 606, 8966, 4183, 585, 513, 1686, 540, 519, 1158, 267, 1256, 2221, 563, 763, 715, 675, 3088, 326, 20048, 1834, 729, 3370, 538, 1896, 21820, 538, 519, 6957, 18818, 2540, 269, 3776, 5299, 729, 9102, 538, 4119, 338, 7921, 538, 476, 5611, 271, 676, 17713, 5576, 7238, 985, 704, 3455, 543, 729, 513, 19266, 730, 7160, 267, 799, 1797, 602, 5576, 7238, 985, 704, 3455, 23652, 519, 960, 540, 519, 3312, 17404, 1510, 8391, 1010, 10479, 610, 9878, 1022, 13927, 585, 519, 17979, 8584, 1455, 2259, 538, 519, 4505, 2395, 540, 8228, 267, 1354, 4896, 1185, 2219, 540, 10677, 4031, 269, 634, 1101, 7160, 540, 634, 715, 675, 3088, 326, 20048, 1834, 267, 799, 729, 538, 5824, 267, 729, 3370, 538, 715, 675, 3088, 326, 538, 476, 14983, 274, 676, 20900, 918, 3426, 3455, 269, 898, 729, 513, 14831, 3585, 1950, 8228, 1788, 799, 3459, 538, 476, 14983, 272, 543, 4797, 2394, 12032, 540, 519, 1433, 538, 5147, 476, 14983, 274, 269, 769, 5412, 540, 519, 1482, 1032, 918, 3426, 3455, 3370, 513, 4436, 7160, 540, 519, 20048, 1834, 267, 519, 8144, 2348, 1044, 1500, 676, 6723, 16816, 269, 8422, 1296, 2663, 17713, 5576, 7238, 985, 704, 3455, 3370, 1010, 1101, 19266, 730, 7160, 540, 519, 20048, 1834, 538, 4119, 338, 7921, 269, 901, 729, 538, 4436, 267, 543, 729, 4553, 538, 476, 14983, 278, 676, 1010, 5824, 7160, 267, 543, 538, 476, 5611, 271, 676, 1776, 4436, 7160, 267, 540, 799, 938, 5299, 568, 606, 1383, 563, 763, 8560, 540, 519, 1433, 568, 3254, 676, 519, 1249, 602, 972, 941, 2947, 21820, 538, 5216, 1296, 269, 634, 4128, 585, 922, 1967, 616, 711, 2352, 547, 1294, 269, 898, 8659, 811, 12383, 982, 1022, 1433, 5892, 9102, 689, 1940, 762, 1826, 267, 799, 729, 2614, 547, 1118, 621, 513, 834, 12895, 22673, 1701, 4706, 1641, 2339, 849, 1185, 2647, 9029, 267, 585, 1686, 814, 2141, 1044, 513, 2442, 1641, 269, 901, 1257, 267, 8720, 519, 1686, 540, 519, 1158, 689, 519, 4098, 547, 519, 942, 540, 519, 1433, 781, 8313, 267, 729, 14095, 609, 1344, 543, 729, 2854, 538, 513, 2511, 602, 729, 3362, 6956, 282, 1346, 945, 1223, 711, 1224, 5824, 1223, 1205, 835, 540, 519, 4436, 21820, 269, 769, 519, 1686, 9645, 8561, 729, 2322, 593, 5125, 267, 3226, 538, 519, 4436, 21820, 267, 799, 17216, 5280, 547, 2333, 922, 8560, 538, 602, 2197, 269, 2755, 519, 715, 675, 3088, 326, 21820, 941, 14427, 543, 4061, 1223, 581, 12349, 1152, 676, 14547, 1004, 267, 519, 4119, 338, 7921, 21820, 941, 1447, 7199, 543, 3976, 941, 1369, 519, 3914, 540, 1346, 540, 811, 16434, 1797, 269, 901, 949, 2272, 585, 519, 1249, 602, 972, 616, 811, 12215, 540, 519, 715, 675, 3088, 326, 21820, 538, 6228, 2221, 269, 9861, 811, 7199, 267, 543, 849, 14320, 3677, 267, 789, 941, 811, 5402, 12873, 267, 1247, 519, 14949, 4119, 338, 7921, 21820, 941, 1224, 547, 4773, 267, 865, 2221, 1152, 8370, 824, 8021, 538, 519, 2136, 2276, 723, 12215, 540, 519, 4119, 338, 7921, 7160, 540, 476, 5611, 271, 267, 799, 649, 723, 1175, 9715, 267, 1247, 811, 982, 29235, 723, 12215, 540, 519, 715, 675, 3088, 326, 5824, 7160, 540, 476, 14983, 274, 563, 763, 12383, 538, 634, 715, 675, 3088, 326, 20048, 1834, 941, 711, 1152, 922, 1034, 1271, 9513, 1448, 267, 789, 941, 2965, 519, 2601, 585, 922, 1373, 269, 7812, 26728, 613, 332, 583, 543, 30247, 623, 2917, 6577, 342, 584, 604, 941, 519, 3879, 21116, 543, 23678, 951, 945, 941, 3743, 585, 519, 12383, 1031, 538, 519, 1101, 7160, 267, 543, 621, 729, 26728, 613, 332, 583, 945, 22885, 519, 2856, 540, 8600, 513, 1527, 2224, 569, 11609, 1158, 1686, 269, 1261, 6836, 547, 1205, 1010, 3659, 267, 918, 3426, 3455, 267, 519, 17002, 267, 547, 22738, 621, 267, 855, 918, 3426, 3455, 5433, 621, 729, 1932, 7199, 543, 19408, 513, 1788, 267, 865, 26728, 613, 332, 583, 5833, 519, 1489, 540, 1079, 14547, 29123, 267, 1530, 4472, 323, 5576, 9445, 518, 543, 1530, 30807, 1014, 21919, 1069, 320, 3563, 267, 1141, 1575, 517, 918, 3426, 3455, 8815, 547, 798, 519, 8228, 563, 310, 565, 613, 332, 583, 729, 513, 1134, 8153, 7376, 538, 715, 675, 3088, 326, 267, 945, 1185, 513, 1297, 540, 20843, 543, 29095, 2324, 585, 1864, 269, 1325, 3691, 19816, 667, 6686, 17243, 729, 22961, 5367, 547, 1864, 950, 646, 729, 19939, 1296, 2025, 267, 543, 585, 1614, 1296, 6594, 7206, 543, 3574, 268, 1263, 571, 1324 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 692, 3519, 31844, 476, 16020, 16720, 547, 13728, 568, 513, 1106, 540, 11973, 547, 11440, 7503, 267, 799, 568, 13561, 585, 513, 3099, 540, 3156, 267, 1519, 2951, 267, 5986, 267, 543, 2564, 4170, 780, 1012, 10390, 281, 1215, 3509, 744, 684, 806, 568, 476, 16020, 16720, 2496, 1103, 519, 1439, 267, 634, 2626, 547, 968, 1692, 1082, 13728, 568, 476, 16020, 16720, 9495, 568, 827, 476, 1839, 269, 3607, 13728, 269, 2060, 713, 1702, 267, 596, 2461, 1732, 9280, 547, 6330, 1585, 3344, 540, 3232, 1272, 8506, 5277, 6482, 24740, 269, 5901, 713, 13561, 7503, 538, 2247, 267, 543, 596, 3580, 1265, 621, 779, 513, 1483, 1272, 1606, 11232, 538, 2789, 7653, 780, 1012, 14174, 17988, 692, 2467, 616, 1082, 2055, 4280, 676, 1215, 3509, 744, 684, 806, 568, 476, 16020, 16720, 3755, 602, 616, 5018, 2630, 1384, 2162, 4208, 798, 594, 991, 547, 917, 875, 1082, 13728, 568, 476, 16020, 16720, 2496, 31535, 519, 7503, 1063, 476, 16020, 16720, 543, 13728, 666, 581, 3730, 538, 1585, 3871, 899, 5986, 267, 536, 691, 2056, 267, 610, 1620, 4915, 13121, 1137, 269, 898, 2337, 596, 1118, 4977, 7403, 543, 1732, 3664, 780, 2162, 1772, 519, 7503, 3815, 1063, 16720, 543, 13728, 2141, 519, 1482, 2496, 8133, 267, 519, 7503, 3815, 568, 3586, 269, 2290, 26412, 568, 5111, 3160, 547, 476, 3066, 269, 6872, 274, 276, 16720, 269, 1411, 666, 946, 713, 3815, 547, 6460, 1022, 2179, 689, 16720, 547, 13728, 610, 13030, 17930, 780, 2162, 1215, 1705, 596, 12446, 693, 519, 2626, 602, 476, 16020, 16720, 568, 827, 476, 1839, 269, 3607, 13728, 2496, 2414, 1265, 856, 875, 1082, 13728, 568, 476, 16020, 16720, 267, 596, 7941, 476, 16020, 676, 519, 7503, 3815, 540, 476, 3066, 269, 6872, 274, 276, 269, 634, 1267, 568, 5111, 476, 1839, 269, 3607, 13728, 780, 2162, 1772, 713, 7503, 10858, 5001, 2496, 4407, 519, 7503, 3815, 568, 8471, 267, 1832, 538, 2247, 602, 519, 2136, 2276, 4122, 3096, 13728, 267, 6466, 1034, 824, 2477, 946, 519, 11973, 1062, 267, 799, 2882, 1984, 4106, 619, 780, 2162, 2052, 594, 946, 713, 7503, 585, 1312, 15559, 543, 17571, 2496, 1607, 1880, 7503, 568, 5921, 585, 15559, 269, 3752, 1749, 723, 1114, 5860, 3601, 267, 865, 519, 7503, 689, 16720, 547, 13728, 585, 17571, 1131, 2154, 3606, 1344, 780, 2162, 1548, 616, 930, 4948, 3688, 602, 2356, 2097, 538, 476, 16020, 16720, 9424, 2496, 288, 3044, 9174, 11480, 3335, 6585, 476, 16020, 16720, 269, 2368, 824, 16098, 543, 5277, 7622, 3688, 949, 849, 2097, 538, 713, 7274, 780, 2162, 1215, 1082, 14296, 540, 9174, 666, 594, 1205, 856, 540, 513, 476, 16020, 16720, 11480, 2496, 288, 3044, 4837, 540, 9174, 568, 827, 476, 276, 13728, 269, 4595, 476, 16020, 16720, 17838, 547, 5111, 476, 1839, 269, 3607, 13728, 267, 596, 666, 1205, 1472, 2947, 14296, 540, 9174, 689, 513, 476, 16020, 16720, 11480, 780, 2162, 2052, 594, 946, 713, 7503, 538, 5986, 10346, 2496, 27028, 5193, 569, 256, 18833, 602, 476, 16020, 16720, 568, 827, 476, 1839, 269, 3607, 13728, 666, 948, 596, 8308, 2268, 5820, 538, 10346, 602, 1683, 7403, 538, 13728, 780, 28716, 519, 1964, 540, 519, 3135, 1109, 763, 5600, 570, 4459, 1109, 1721, 811, 4277, 543, 3730, 4930, 780, 2971, 10609, 584, 1090, 692, 296, 6415, 1520, 2381, 585, 634, 31359, 307, 4459, 269, 3733, 5816, 11394, 547, 948, 596, 3435, 585, 2777, 2042, 543, 513, 4015, 540, 2241, 10346, 602, 616, 3501, 585, 11112, 1004, 269, 0, 272, 269, 12361, 5620, 594, 20335, 547, 519, 2953, 2626, 2496, 17098, 16921, 267, 594, 6415, 3257, 5832, 4341, 2042, 547, 2259, 585, 981, 1384, 296, 4312, 11402, 281, 586, 815, 630, 324, 317, 340, 910, 552, 28260, 340, 19422, 324, 317, 340, 1341, 552, 28260, 340, 2020, 296, 4312, 20335, 281, 10085, 270, 706, 815, 476, 275, 14370, 324, 317, 340, 1341, 552, 28260, 340, 8203, 273, 692, 3674, 713, 519, 2953, 16866, 2626, 286, 8729, 585, 519, 1413, 2439, 273, 269, 20323, 17397, 676, 667, 15967, 13043, 454, 17098, 16921, 267, 594, 6415, 3257, 5832, 4341, 2042, 547, 2259, 585, 981, 1384, 296, 4312, 11402, 281, 586, 815, 630, 324, 317, 340, 910, 552, 28260, 340, 19422, 324, 317, 340, 1341, 552, 28260, 340, 2020, 296, 4312, 20335, 281, 10085, 270, 706, 815, 476, 275, 14370, 324, 317, 340, 1341, 552, 28260, 340, 8203, 273, 692, 3674, 713, 519, 2953, 16866, 2626, 286, 8729, 585, 519, 1413, 2439, 6826, 2386, 596, 1174, 519, 1739, 15821, 5187, 5874, 1384, 7445, 6234, 586, 7807, 2765, 346, 324, 317, 340, 910, 552, 13064, 340, 12453, 324, 317, 340, 1341, 552, 13064, 340, 3686, 284, 272, 10559, 2765, 346, 273, 324, 13064, 340, 12453, 324, 317, 340, 266, 324, 13064, 340, 3686, 284, 272, 10559, 2765, 346, 273, 2410, 324, 3867, 273, 340, 15396, 272, 4151, 2073, 543, 3541, 1516, 1631, 713, 568, 1454, 12863, 1384, 7445, 6234, 586, 262, 7807, 2765, 346, 275, 324, 3867, 273, 340, 12453, 263, 324, 3867, 273, 340, 15396, 272, 8203, 273, 4151, 1547, 6744, 1631, 602, 713, 568, 1175, 1018, 596, 3893, 1862, 0, 1012, 4634, 25828, 10606, 692, 9336, 3791, 4017, 20906, 1297, 568, 1256, 269, 4595, 3230, 293, 5332, 815, 674, 3709, 333, 268, 274, 348, 2608, 476, 275, 1341, 674, 3709, 333, 268, 277, 6525, 267, 649, 3355, 344, 5173, 3230, 293, 318, 274, 2330, 543, 3230, 293, 318, 277, 2330, 1287, 3230, 293, 318, 280, 815, 674, 318, 277, 2608, 476, 275, 1341, 674, 318, 274, 18079, 3230, 293, 3709, 1321, 348, 815, 674, 318, 280, 2608, 476, 275, 1341, 674, 318, 277, 2330, 3092, 2507, 692, 3698, 674, 333, 263, 293, 333, 318, 274, 267, 674, 333, 318, 277, 2187, 8873, 674, 333, 318, 274, 2608, 476, 275, 1341, 674, 333, 318, 277, 454, 293, 333, 318, 277, 815, 476, 271, 454, 293, 333, 318, 274, 815, 476, 273, 454, 8999, 815, 674, 333, 318, 277, 1341, 674, 333, 318, 274, 454, 6112, 6936, 912, 325, 815, 674, 333, 263, 293, 333, 318, 274, 267, 674, 333, 318, 277, 994, 604, 535, 3436, 476, 275, 318, 1822, 318, 1822, 912, 19874, 454, 8999, 6834, 535, 454, 293, 333, 318, 277, 815, 674, 333, 318, 274, 454, 293, 333, 318, 274, 815, 535, 692, 13126, 3009, 540, 519, 3070, 4433, 2567, 0, 258, 634, 18903, 13340, 692, 1012, 1879, 1058, 594, 946, 519, 18903, 13340, 2496, 6524, 594, 979, 936, 875, 547, 946, 519, 9059, 4216, 267, 649, 786, 1101, 1451, 18040, 2894, 547, 946, 621, 269, 1284, 666, 946, 519, 9059, 4216, 8164, 649, 723, 606, 3830, 540, 519, 1106, 4949, 22144, 2421, 284, 272, 543, 649, 616, 3843, 547, 1265, 1079, 9981, 1535, 267, 543, 586, 602, 14183, 621, 630, 528, 538, 2489, 4949, 22144, 2421, 284, 11899, 1141, 575, 568, 519, 2547, 1455, 2789, 540, 513, 543, 536, 543, 737, 568, 930, 8870, 1040, 901, 2063, 3948, 1058, 1413, 5432, 282, 621, 568, 2142, 345, 719, 781, 11532, 10611, 1815, 718, 602, 2142, 345, 719, 779, 11532, 2829, 267, 952, 519, 6574, 1455, 27708, 540, 513, 543, 536, 568, 575, 267, 1287, 972, 2291, 1535, 543, 586, 865, 602, 4949, 266, 2421, 284, 326, 780, 1012, 1215, 798, 594, 946, 519, 18903, 13340, 2496, 3086, 602, 596, 917, 950, 547, 946, 621, 267, 596, 616, 4712, 547, 1451, 875, 547, 798, 519, 9059, 269, 634, 1101, 1900, 568, 547, 946, 519, 28070, 5690, 2394, 596, 1205, 513, 14230, 540, 4642, 269, 634, 2338, 602, 596, 786, 991, 585, 519, 9059, 4216, 616, 519, 9889, 1801, 630, 304, 272, 267, 1627, 273, 267, 1627, 274, 267, 16634, 304, 328, 264, 596, 1031, 1282, 519, 28070, 5690, 269, 8921, 1376, 676, 5373, 519, 4216, 607, 3254, 538, 519, 4605, 269, 1411, 798, 711, 991, 547, 2328, 519, 968, 304, 272, 2507, 907, 304, 328, 892, 596, 666, 11690, 538, 519, 7222, 2418, 585, 519, 9889, 1801, 269, 3767, 602, 649, 723, 938, 9059, 4216, 1305, 909, 267, 649, 786, 960, 998, 606, 1383, 593, 875, 547, 946, 519, 9059, 4216, 780, 7712, 2542, 519, 3268, 666, 581, 14845, 267, 649, 786, 1294, 519, 3268, 538, 519, 1739, 3381, 780, 332, 20723, 4216, 692, 1012, 11929, 9046, 1384, 8340, 1079, 9981, 1535, 543, 586, 602, 14183, 476, 2641, 343, 266, 1724, 344, 284, 276, 269, 0, 30108, 273, 30108, 1627, 26031, 1948, 280, 2412, 280, 692, 27645, 262, 700, 1735, 613, 17564, 281, 14572, 15821, 4834, 692, 307, 273, 307, 1109, 1475, 1109, 11902, 304, 1109, 1475, 1109, 16485, 570, 273, 307, 1109, 1475, 1109, 27645, 262, 700, 1735, 613, 1109, 1475, 1109, 289, 12864, 1109, 1475, 1109, 15507, 1109, 1475, 1109, 307, 273, 307, 4889, 919, 1109, 1475, 1109, 10666, 570, 273, 307, 692, 8698, 3003, 4901, 454, 314, 28843, 7173, 316, 1496, 1985, 23645, 6540, 5804, 281, 12891, 17304, 336, 692, 2414, 281, 11819, 273, 30108, 5398, 17564, 454, 14630, 281, 476, 1220, 23714, 271, 6078, 273, 281, 6795, 281, 6078, 454, 20428, 281, 1215, 547, 4001, 547, 4194, 606, 15821, 3830, 692, 5575, 540, 782, 267, 596, 4312, 547, 2995, 873, 1018, 4632, 616, 543, 1018, 21635, 616, 267, 543, 1287, 2995, 873, 827, 1018, 606, 3830, 269, 12315, 873, 606, 2653, 1383, 899, 476, 274, 266, 273, 284, 276, 267, 543, 2491, 873, 1018, 4523, 952, 596, 1847, 2338, 1472, 543, 1294, 952, 789, 723, 1174, 519, 1523, 540, 875, 547, 1847, 2338, 543, 4632, 1472, 519, 3160, 1129, 269, 3973, 2995, 873, 547, 1847, 519, 4756, 547, 1847, 621, 593, 835, 2427, 540, 606, 3160, 1129, 543, 1287, 782, 519, 21635, 593, 519, 824, 2427, 907, 517, 576, 789, 798, 602, 2307, 873, 547, 14458, 543, 602, 786, 581, 519, 3070, 585, 602, 4756, 692, 30108, 273, 30108, 910, 570, 273, 307, 2485, 362, 0, 258, 27997, 23990, 11833, 281, 27997, 4144, 329, 330, 14259, 779, 23990, 692, 9596, 875, 547, 2936, 513, 27997, 4144, 329, 330, 14259, 779, 23990, 538, 713, 1900, 8386, 9912, 5850, 676, 519, 27997, 23990, 11833, 2319, 269, 1635, 17664, 744, 262, 289, 31151, 780, 275, 630, 272, 264, 5788, 476, 272, 5623, 692, 24591, 585, 2663, 454, 18704, 692, 1012, 27997, 23990, 11833, 281, 27997, 4144, 329, 330, 14259, 779, 23990, 692, 1839, 25008, 692, 763, 27997, 23990, 11833, 568, 606, 1930, 2707, 1788, 547, 2936, 2442, 6620, 543, 1239, 3889, 538, 27997, 780, 9336, 3923, 267, 519, 590, 3722, 2319, 786, 4183, 513, 3579, 1239, 2497, 610, 5690, 689, 519, 8630, 538, 513, 5850, 593, 713, 3135, 269, 1403, 707, 1616, 547, 1451, 811, 827, 6620, 543, 1239, 3889, 267, 1246, 2059, 609, 721, 2439, 1103, 713, 5850, 267, 596, 3580, 1451, 875, 547, 2936, 513, 27997, 4144, 329, 330, 14259, 779, 23990, 281, 606, 5690, 585, 4466, 519, 20125, 2619, 1063, 9136, 538, 513, 3113, 780, 1607, 27997, 6388, 729, 1101, 2813, 676, 20579, 553, 21208, 6081, 267, 543, 568, 1631, 1201, 716, 1819, 585, 513, 5850, 3898, 780, 1607, 5850, 17648, 596, 723, 1224, 891, 1614, 18862, 1101, 630, 528, 723, 6697, 1702, 17107, 9616, 281, 1715, 547, 519, 27997, 23990, 11833, 286, 6744, 856, 707, 3478, 3323, 2022, 1101, 780, 1012, 15775, 29035, 692, 32295, 3455, 654, 269, 4144, 329, 330, 14259, 2919, 606, 5690, 585, 4466, 519, 20125, 2619, 998, 513, 3113, 538, 476, 4198, 277, 267, 543, 7152, 922, 946, 676, 10188, 513, 16866, 4786, 540, 519, 13814, 269, 901, 2968, 1634, 607, 4144, 329, 330, 14259, 779, 23990, 267, 543, 596, 3580, 1451, 875, 547, 2936, 621, 538, 27997, 538, 713, 5850, 780, 1103, 938, 3105, 5850, 593, 4560, 23867, 3406, 2619, 1922, 4193, 267, 938, 5869, 654, 2658, 15062, 729, 3695, 513, 28618, 540, 28749, 543, 13300, 267, 543, 2877, 547, 1265, 513, 8905, 689, 4055, 547, 4055, 689, 519, 13675, 547, 513, 1390, 14951, 780, 1103, 519, 5850, 267, 596, 8045, 513, 27997, 5690, 799, 1336, 1864, 513, 2619, 269, 14568, 982, 602, 267, 1317, 707, 3406, 2141, 8268, 519, 14282, 11623, 1101, 267, 596, 6785, 602, 1022, 8905, 596, 1336, 1131, 849, 581, 519, 20125, 2009, 8905, 780, 4913, 267, 596, 1152, 6785, 713, 1317, 519, 3845, 1063, 1022, 1079, 11623, 729, 2141, 519, 1482, 269, 1403, 596, 1152, 1616, 547, 2268, 3845, 538, 11623, 267, 1287, 707, 5690, 9060, 519, 8905, 799, 12599, 998, 519, 1906, 652, 1297, 540, 11623, 780, 1103 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4696, 16165, 476, 6507, 278, 280, 28544, 4270, 281, 301, 9173, 543, 27999, 22627, 630, 293, 718, 281, 476, 274, 12467, 12663, 519, 2732, 596, 3548, 1631, 3310, 707, 1072, 538, 519, 1296, 547, 2097, 286, 1548, 798, 649, 2731, 917, 827, 1426, 2853, 607, 649, 2085, 286, 6164, 338, 2596, 6484, 3741, 538, 519, 17550, 540, 519, 10172, 1184, 269, 4112, 2803, 3084, 7341, 2919, 585, 6484, 1382, 543, 519, 1764, 540, 2732, 263, 2102, 7497, 264, 543, 6197, 2853, 593, 5312, 2068, 11841, 267, 6604, 543, 2126, 269, 11762, 1331, 2175, 3335, 4810, 538, 519, 1319, 1005, 2551, 971, 607, 3987, 267, 12263, 267, 2295, 543, 3750, 2068, 267, 8377, 267, 2860, 267, 543, 1426, 543, 3075, 4205, 563, 8310, 21213, 281, 476, 2190, 11219, 684, 268, 1704, 0, 303, 528, 3870, 267, 946, 1609, 324, 1541, 881, 11456, 16948, 3632, 541, 522, 14219, 1794, 541, 513, 1609, 324, 6221, 912, 23490, 2752, 2316, 305, 1315, 29313, 3722, 15674, 912, 347, 24058, 714, 541, 17333, 4592, 3898, 657, 281, 27107, 290, 1923, 25212, 11759, 1923, 681, 5263, 1923, 744, 3918, 1923, 26827, 306, 1923, 19294, 4811, 1923, 667, 2839, 299, 2008, 31367, 543, 2168, 2242, 1282, 519, 4859, 540, 13204, 3603, 5388, 454, 347, 8505, 528, 10573, 294, 14781, 320, 4149, 656, 657, 267, 7325, 10005, 6902, 590, 18319, 267, 27118, 595, 269, 6902, 4856, 15605, 5336, 691, 6403, 928, 345, 267, 6742, 320, 6902, 16645, 600, 1408, 267, 3057, 6902, 8053, 8759, 267, 4165, 8205, 2008, 26180, 3663, 320, 632, 1857, 24265, 10573, 1001, 273, 2008, 347, 4910, 18210, 10573, 291, 11538, 568, 835, 540, 519, 9510, 2409, 540, 1426, 11091, 543, 4564, 513, 1360, 1271, 1184, 538, 519, 1426, 2872, 267, 7142, 28681, 676, 3905, 2011, 1373, 519, 1034, 1455, 4853, 4480, 547, 1685, 630, 294, 578, 523, 1696, 620, 1421, 476, 1220, 279, 1040, 1230, 557, 21063, 15018, 666, 581, 5645, 856, 693, 1164, 5210, 585, 2110, 2053, 610, 693, 2539, 5210, 585, 3476, 2053, 282, 519, 5449, 4781, 1373, 2356, 9053, 2094, 621, 7472, 1447, 8143, 3441, 543, 8532, 1447, 1648, 630, 309, 601, 545, 1696, 620, 1421, 476, 1220, 275, 1040, 7324, 519, 1114, 3536, 602, 666, 1831, 13204, 3603, 267, 5388, 3180, 513, 12880, 2990, 607, 789, 666, 581, 10057, 2901, 593, 741, 1378, 610, 607, 5820, 585, 519, 11840, 566, 540, 824, 1426, 2472, 971, 607, 27130, 267, 27156, 267, 3092, 269, 1546, 5139, 1674, 676, 3905, 2011, 949, 2014, 513, 3126, 540, 2168, 267, 13608, 12950, 267, 3114, 543, 6211, 19260, 602, 666, 1860, 519, 3803, 2298, 540, 519, 13204, 3603, 10448, 269, 2290, 540, 971, 3114, 12381, 799, 666, 1491, 1747, 952, 13204, 3603, 5388, 616, 16271, 547, 14021, 2126, 543, 5924, 20025, 4859, 568, 519, 8575, 650, 731, 5114, 630, 17307, 1040, 19182, 3217, 1747, 1063, 519, 3327, 2643, 1895, 689, 4227, 14836, 543, 519, 1863, 11254, 1895, 540, 11254, 7408, 267, 30902, 610, 5946, 269, 11628, 5933, 540, 19182, 1058, 581, 14284, 1317, 513, 2530, 538, 519, 9422, 1871, 540, 519, 1426, 949, 2049, 543, 519, 1646, 540, 24379, 25549, 543, 24638, 7135, 267, 1927, 609, 519, 5250, 540, 1007, 19979, 7135, 267, 666, 7369, 519, 1418, 1961, 10364, 3601, 540, 519, 1587, 630, 309, 650, 600, 1408, 1696, 620, 1421, 476, 1220, 277, 1040, 769, 1840, 267, 18024, 7472, 16756, 720, 543, 949, 1860, 11874, 519, 556, 5139, 1674, 2702, 540, 519, 3803, 1587, 630, 303, 1415, 1177, 784, 1299, 8061, 1695, 770, 514, 267, 476, 1220, 278, 1040, 901, 568, 1813, 547, 513, 3126, 540, 2188, 1644, 547, 2168, 543, 13608, 12950, 2242, 9648, 538, 519, 8031, 630, 298, 549, 330, 5866, 1299, 3057, 537, 5894, 267, 476, 1960, 278, 1070, 543, 849, 547, 3114, 2242, 602, 1522, 1860, 11950, 543, 5946, 630, 306, 18319, 1696, 620, 1421, 476, 1001, 271, 1040, 6684, 547, 19182, 267, 891, 2242, 666, 581, 849, 6766, 711, 1152, 676, 4393, 855, 849, 676, 519, 4859, 2175, 269, 901, 960, 814, 1044, 13991, 547, 8495, 1896, 2298, 6724, 1519, 2101, 543, 5634, 11950, 267, 476, 273, 1922, 1755, 2643, 332, 14007, 268, 3133, 334, 659, 1749, 630, 553, 10832, 540, 19182, 1070, 5946, 267, 25168, 1156, 11169, 543, 556, 5139, 1674, 2702, 630, 10339, 5962, 607, 556, 5139, 1674, 5223, 267, 681, 305, 264, 538, 3810, 10057, 4853, 569, 13204, 3603, 5388, 8198, 763, 1198, 936, 873, 540, 513, 6417, 4859, 896, 2147, 2175, 1031, 538, 519, 2344, 543, 676, 519, 6800, 814, 849, 1044, 6594, 269, 14520, 4853, 569, 13204, 3603, 5439, 941, 21845, 281, 1079, 22762, 1845, 540, 31577, 630, 291, 14072, 639, 1286, 7974, 264, 18695, 543, 1166, 1389, 630, 8364, 12783, 594, 543, 4083, 267, 6606, 264, 543, 22323, 630, 5472, 1756, 524, 788, 320, 264, 1079, 7306, 540, 1166, 1389, 630, 20791, 267, 22323, 594, 282, 1804, 267, 22323, 4083, 1070, 835, 30000, 13342, 630, 5472, 1756, 2893, 643, 636, 264, 543, 835, 1166, 820, 15837, 630, 22069, 534, 636, 16321, 657, 636, 264, 24963, 3177, 676, 513, 5053, 10448, 2472, 2754, 630, 309, 1122, 523, 520, 267, 14068, 1690, 9926, 267, 8050, 1040, 1546, 5139, 3603, 5439, 267, 14095, 538, 25168, 1886, 22005, 1367, 11435, 630, 1789, 6515, 5394, 3732, 4494, 264, 543, 6806, 267, 941, 6740, 538, 519, 4158, 585, 513, 1974, 540, 476, 1321, 3275, 896, 519, 1739, 19355, 2175, 281, 2837, 1063, 476, 866, 269, 274, 543, 476, 2767, 269, 272, 2485, 374, 290, 282, 3448, 11195, 1063, 476, 1428, 269, 271, 543, 476, 2412, 269, 278, 10065, 2991, 476, 277, 543, 476, 1321, 3275, 540, 4859, 267, 5439, 941, 3144, 585, 519, 7222, 2079, 269, 634, 5833, 2164, 4951, 602, 4859, 2175, 22368, 539, 538, 519, 1459, 1957, 723, 1100, 3507, 762, 1198, 593, 519, 2298, 6724, 6594, 630, 323, 787, 2339, 267, 556, 5139, 1674, 2702, 267, 2698, 25168, 1156, 11169, 267, 19182, 10832, 267, 5946, 543, 11950, 1070, 4440, 1813, 547, 519, 1249, 602, 519, 5388, 941, 5265, 5701, 543, 13204, 3603, 693, 519, 2872, 269, 4475, 267, 689, 713, 1448, 540, 2070, 267, 621, 814, 1044, 2625, 539, 602, 891, 13204, 3603, 31577, 267, 15837, 267, 22323, 267, 543, 13342, 616, 18481, 7123, 585, 693, 2547, 476, 1321, 3275, 269, 1452, 2164, 616, 540, 1880, 10083, 538, 519, 2013, 540, 23466, 609, 1978, 6915, 13808, 269, 5047, 267, 519, 17077, 19182, 4434, 849, 18715, 519, 11091, 540, 4333, 633, 1871, 1813, 547, 30897, 710, 267, 519, 1034, 1271, 14041, 540, 681, 300, 1282, 519, 4859, 269, 1306, 19951, 972, 568, 606, 2810, 1719, 538, 519, 946, 540, 13204, 3603, 5388, 607, 1426, 5820, 538, 519, 11840, 566, 563, 347, 5327, 322, 8692, 857, 11252, 10573, 4910, 18210, 1642, 533, 6759, 3122, 1459, 5964, 620, 4139, 6837, 540, 11906, 7177, 10302, 2784, 334, 679, 1530, 341, 8759, 630, 292, 4944, 320, 29823, 264, 1642, 476, 2190, 620, 476, 2767, 632, 15118, 1470, 632, 476, 1001, 273, 8198, 24820, 6768, 576, 679, 15255, 1071, 548, 764, 542, 525, 10573, 263, 296, 304, 8104, 264, 1290, 684, 545, 30685, 525, 7249, 637, 657, 2008, 263, 18426, 264, 1290, 684, 545, 30685, 525, 7249, 637, 657, 454, 293, 7865, 4592, 679, 1609, 324, 3331, 511, 339, 655, 912, 347, 659, 806, 334, 27916, 2590, 18480, 15005, 1475, 1428, 267, 4343, 737, 289, 1475, 3849, 12786, 7300, 2008, 7197, 32057, 1714, 7373, 549, 1264, 1729, 454, 27237, 288, 281, 11968, 3331, 511, 339, 2114, 632, 7913, 269, 5425, 2975, 1609, 17505, 2926, 326, 573, 657, 11188, 10677, 267, 598, 547, 323, 657, 17485, 632, 516, 577, 657, 8264, 15606, 267, 513, 2367, 657, 6446, 694, 967, 1664, 3138, 733, 337, 9222, 269, 0, 257, 292, 572, 546, 17144, 562, 657, 582, 4592, 4043, 8145, 657, 6446, 1965, 4933, 597, 5609, 10240, 6403, 6588, 325, 334, 4799, 9558, 3175, 281, 6546, 1554, 649, 786, 723, 547, 2328, 1510, 513, 4050, 563, 296, 798, 711, 917, 1946, 855, 4730, 1472, 609, 24440, 6037, 1807, 621, 4667, 834, 7562, 257, 23352, 519, 991, 585, 606, 834, 320, 257, 538, 519, 5053, 563, 8253, 8209, 269, 3371, 972, 568, 1100, 2376, 1317, 519, 4845, 556, 742, 619, 547, 519, 23445, 538, 2489, 269, 1809, 952, 649, 616, 6158, 827, 513, 1360, 2027, 4050, 267, 1287, 649, 9364, 946, 2376, 267, 547, 2161, 834, 31095, 1510, 5990, 4050, 257, 1862, 898, 781, 1945, 899, 602, 2433, 291, 454, 296, 6415, 1100, 4274, 855, 594, 3494, 519, 2376, 568, 31360, 950, 621, 568, 10924, 602, 596, 786, 1152, 723, 630, 528, 991, 264, 835, 540, 1945, 563, 303, 528, 552, 329, 6374, 334, 281, 1100, 512, 1263, 334, 9279, 515, 815, 594, 1810, 1405, 723, 513, 1286, 454, 12552, 267, 296, 4769, 1405, 1174, 713, 3017, 269, 898, 781, 2141, 2182, 547, 1246, 713, 2376, 6165, 950, 1312, 2296, 543, 5053, 616, 4914, 563, 2710, 1004, 2965, 2161, 1919, 899, 834, 333, 657, 582, 4592, 4043, 8145, 657, 257, 538, 1483, 1272, 286, 594, 729, 896, 519, 12705, 602, 621, 729, 2808, 32118, 267, 543, 594, 9364, 899, 547, 2312, 602, 909, 269, 2433, 994, 6546, 781, 519, 1482, 607, 952, 596, 1185, 4280, 952, 1004, 2161, 1919, 899, 649, 786, 723, 547, 538, 1483, 1272, 269, 3733, 1345, 594, 2015, 1210, 2185, 1913, 547, 2161, 835, 3364, 607, 1360, 32118, 269, 0, 17138, 281, 1977, 5321, 543, 10651, 454, 17413, 281, 476, 5002, 276, 630, 5002, 271, 338, 994, 20428, 338, 281, 15339, 267, 23582, 23721, 12202, 454, 21812, 281, 1715, 3840, 2433, 16189, 333, 543, 3213, 454, 6944, 1026, 5024, 7732, 281, 28834, 23905, 454, 291, 13424, 1944, 1975, 976, 528, 281, 26085, 11595, 7732, 454, 12812, 1934, 547, 2070, 1433, 2228, 547, 1294, 713, 14745, 538, 2796, 538, 513, 19584, 762, 2228, 4528, 540, 713, 1433, 563, 17806, 2561, 8960, 6969, 12005, 912, 763, 14301, 268, 3336, 1772, 538, 4856, 531, 1790, 1074, 543, 594, 341, 800, 22554, 3043, 1993, 519, 12266, 543, 31718, 1649, 2583, 543, 1305, 21164, 269, 901, 533, 807, 3960, 320, 1360, 20617, 694, 2275, 999, 519, 835, 3364, 4171, 705, 1606, 775, 568, 1034, 20494, 31773, 9723, 1415, 1977, 5321, 20196, 529, 7834, 269, 3776, 5321, 616, 321, 16742, 6140, 267, 711, 547, 2661, 538, 267, 8117, 547, 581, 2938, 267, 543, 649, 616, 547, 846, 331, 325, 23655, 547, 2972, 519, 21504, 640, 649, 5480, 269, 898, 568, 538, 10472, 27972, 626, 1229, 694, 2424, 7401, 1615, 5703, 1169, 12784, 267, 543, 527, 568, 693, 713, 942, 519, 1483, 577, 1301, 540, 519, 2777, 568, 5433, 269, 2311, 519, 3665, 22703, 754, 540, 519, 533, 807, 3960, 320, 267, 1727, 21627, 9220, 1292, 18226, 268, 3336, 267, 568, 519, 19874, 9724, 268, 3336, 267, 1141, 513, 632, 2000, 697, 995, 32446, 4249, 8015, 2536, 985, 543, 27374, 269, 634, 10689, 663, 2575, 268, 3336, 849, 1930, 856, 517, 713, 20583, 533, 807, 3960, 320, 269, 634, 18226, 268, 3336, 568, 1659, 3128, 569, 5929, 267, 4936, 4055, 7868, 6821, 616, 8470, 539, 538, 643, 800, 3043, 543, 4154, 267, 694, 268, 3164, 569, 8737, 609, 513, 5259, 6312, 1181, 538, 6151, 521, 19652, 269, 2311, 454, 17806, 2561, 8960, 2991, 12005, 912, 2304, 2037, 743, 2216, 623, 807, 3960, 320, 538, 6904, 13229, 2422, 13201, 2142, 523, 17214, 540, 1234, 2364, 553, 540, 9147, 6465, 4231, 5130, 267, 476, 5002, 278, 7537, 2207, 2975, 3198, 670, 6865, 2464, 6730, 717, 19181, 27602, 835, 1439, 568, 513, 1804, 17855, 538, 11798, 540, 9457, 18496, 267, 519, 21671, 5067, 540, 519, 2777, 269, 634, 18226, 2389, 762, 267, 519, 598, 268, 18030, 267, 543, 7674, 2389, 762, 616, 540, 7723, 543, 18899, 538, 7931, 663, 30472, 267, 607, 616, 519, 23107, 543, 17754, 2583, 540, 32334, 3043, 609, 335, 1074, 24302, 687, 269, 634, 26254, 529, 519, 4334, 1063, 519, 643, 800, 3043, 540, 519, 6821, 543, 1492, 27610, 11909, 540, 519, 1951, 12656, 625, 543, 519, 11909, 24821, 609, 1080, 2647, 3109, 8473, 269, 634, 835, 2681, 10325, 814, 2041, 523, 1031, 2429, 519, 5264, 267, 602, 540, 32334, 3043, 543, 335, 3855, 267, 689, 519, 3638, 678, 5684, 268, 9440, 547, 519, 5493, 652, 12094, 540, 335, 1074, 282, 782, 519, 3544, 9486, 663, 9885, 723, 3943, 3333, 597, 1042, 18707, 540, 11909, 16536, 267, 15130, 513, 1034, 4241, 552, 325, 1922, 624, 950, 519, 2777 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 18404, 659, 10744, 814, 1082, 2640, 269, 1879, 737, 1342, 657, 616, 6849, 3007, 7965, 267, 10444, 2591, 267, 10324, 1599, 2152, 267, 610, 10010, 609, 5386, 5179, 1983, 267, 1558, 659, 4321, 1983, 786, 948, 269, 898, 949, 1413, 899, 9363, 5059, 538, 519, 4090, 267, 15725, 741, 2623, 267, 610, 5883, 741, 4664, 563, 7021, 942, 607, 3214, 2992, 593, 741, 1378, 5615, 543, 519, 2219, 3157, 3297, 873, 267, 789, 786, 1020, 519, 2702, 547, 1118, 4566, 2469, 4464, 543, 12167, 585, 2933, 269, 1358, 3580, 581, 2111, 547, 2322, 883, 1404, 513, 1544, 585, 950, 741, 1445, 568, 13934, 267, 610, 789, 616, 6849, 513, 3510, 602, 568, 856, 540, 741, 4313, 7997, 563, 1103, 6984, 5450, 659, 4321, 10341, 538, 938, 23467, 1041, 454, 3080, 540, 519, 1655, 2081, 547, 1489, 1558, 659, 4321, 1983, 538, 938, 18954, 568, 676, 2870, 513, 11215, 1565, 1604, 269, 3962, 540, 938, 737, 1342, 657, 814, 1114, 1565, 2115, 267, 865, 649, 1616, 547, 20688, 741, 1604, 547, 1331, 2200, 547, 1489, 741, 2591, 563, 5575, 267, 649, 1616, 547, 5431, 741, 1367, 9342, 267, 4690, 267, 543, 1565, 6163, 269, 3973, 649, 666, 13918, 1558, 659, 4321, 2994, 547, 741, 1808, 2591, 269, 1280, 1383, 267, 952, 938, 737, 1342, 657, 6560, 609, 3007, 543, 1445, 267, 649, 1616, 547, 946, 3308, 7028, 269, 1635, 10709, 532, 883, 741, 9342, 267, 649, 666, 1711, 513, 3638, 1565, 1604, 865, 789, 666, 1451, 519, 1983, 2877, 547, 960, 609, 741, 9620, 563, 31636, 568, 1776, 3693, 547, 1445, 593, 950, 621, 2501, 547, 1558, 659, 4321, 3206, 269, 898, 568, 7543, 547, 936, 10919, 6510, 609, 707, 3214, 693, 1753, 269, 769, 1249, 267, 19551, 602, 596, 2461, 9781, 1582, 26190, 543, 1582, 18221, 950, 596, 5968, 609, 707, 3214, 666, 948, 596, 1445, 593, 875, 1271, 621, 568, 563, 307, 1779, 827, 1018, 9342, 596, 4718, 538, 513, 3510, 267, 543, 1287, 5905, 593, 930, 12755, 789, 666, 2087, 593, 1985, 942, 269, 9105, 2055, 827, 1018, 789, 5433, 4682, 1134, 543, 1018, 789, 1131, 798, 8335, 269, 7844, 519, 1826, 540, 1582, 18022, 29193, 6643, 789, 666, 1332, 883, 585, 2933, 563, 19465, 2659, 7991, 454, 7661, 267, 513, 1883, 1858, 547, 2628, 3007, 547, 1247, 32059, 543, 2324, 593, 1558, 659, 10744, 568, 547, 875, 649, 2461, 23712, 609, 4648, 269, 1284, 991, 547, 3343, 1489, 1141, 649, 991, 621, 267, 543, 649, 991, 547, 1265, 824, 3237, 945, 723, 3214, 602, 6560, 538, 519, 1482, 2081, 602, 938, 3214, 798, 563, 763, 1655, 16293, 267, 519, 1655, 24784, 267, 519, 1655, 16895, 602, 596, 1223, 960, 609, 2070, 596, 607, 851, 540, 513, 2319, 267, 543, 596, 2070, 873, 607, 851, 540, 513, 2319, 563, 2005, 779, 849, 1271, 547, 1921, 609, 824, 3237, 540, 5778, 323, 1853, 7217, 737, 1342, 657, 269, 1403, 596, 666, 1265, 2200, 2199, 547, 596, 267, 1287, 2743, 835, 593, 835, 609, 513, 2385, 267, 610, 538, 513, 1895, 267, 543, 707, 3214, 666, 2743, 609, 824, 3214, 945, 616, 1175, 899, 873, 563, 2691, 602, 779, 711, 2009, 267, 972, 616, 1082, 2228, 2950, 596, 666, 1265, 585, 1863, 610, 585, 513, 1507, 10865, 13927, 563, 296, 4076, 14437, 1354, 827, 519, 22996, 685, 6997, 2146, 269, 594, 2648, 621, 1317, 621, 6770, 1927, 3885, 945, 723, 3214, 899, 9553, 267, 899, 16523, 267, 543, 519, 3214, 1205, 513, 4960, 547, 10004, 609, 1142, 824, 538, 513, 4819, 2230, 602, 649, 723, 3710, 593, 4469, 760, 269, 14268, 723, 513, 4960, 547, 19584, 998, 2200, 267, 543, 13248, 998, 519, 21517, 540, 782, 540, 519, 4487, 5049, 267, 1920, 2591, 267, 543, 3860, 3206, 5049, 602, 649, 4076, 2944, 538, 519, 2250, 7008, 540, 1296, 563, 2026, 596, 3136, 547, 1331, 1558, 659, 4321, 3206, 538, 707, 18954, 267, 1413, 585, 2200, 602, 596, 1921, 609, 269, 18918, 609, 5571, 1565, 269, 29934, 11925, 267, 1357, 21577, 267, 543, 19014, 547, 948, 596, 1451, 2081, 547, 7148, 883, 707, 267, 543, 707, 3214, 8730, 1558, 659, 4321, 1983, 269, 3683, 942, 713, 786, 948, 873, 1332, 538, 4222, 267, 6043, 267, 8086, 267, 543, 14223, 563, 763, 14780, 2358, 17151, 13717, 22996, 23093, 4751, 9210, 28964, 1948, 14225, 1107, 29179, 2659, 4132, 5020, 10341, 1923, 5450, 659, 10744, 454, 18404, 659, 10744, 568, 519, 2702, 547, 1589, 827, 938, 1378, 3206, 267, 543, 602, 568, 4010, 1018, 2051, 22220, 12909, 827, 538, 2221, 779, 12558, 269, 5450, 659, 10744, 5222, 1082, 2127, 540, 938, 1126, 779, 1646, 269, 901, 12558, 6212, 593, 875, 649, 666, 2936, 1114, 2994, 883, 938, 18954, 1554, 547, 1020, 713, 2702, 538, 938, 3214, 267, 4543, 873, 538, 782, 2127, 540, 1272, 267, 1519, 1920, 3347, 267, 1153, 267, 960, 267, 543, 13998, 609, 9905, 563, 299, 3855, 543, 8249, 689, 4653, 779, 8058, 912, 268, 9501, 2177, 306, 3036, 281, 11632, 290, 13878, 295, 454, 268, 634, 3231, 1676, 779, 6997, 267, 513, 14780, 2358, 17151, 13717, 22996, 2146, 2336, 268, 681, 17247, 1948, 4198, 281, 4530, 2659, 23467, 1041, 539, 4132, 454, 268, 6496, 3733, 717, 26661, 4132, 26419, 10261, 513, 22443, 888, 268, 681, 17247, 1948, 12893, 281, 1772, 17291, 2659, 4132, 607, 717, 26661, 12830, 888, 268, 681, 17247, 1948, 13199, 281, 15531, 23467, 1041, 7991, 630, 2690, 938, 1453, 543, 6000, 994, 268, 4980, 22899, 513, 4804, 6762, 5113, 454, 268, 18833, 2659, 717, 26661, 4132, 454, 268, 681, 17247, 1948, 3422, 281, 8490, 8682, 7232, 4614, 655, 538, 8866, 454, 268, 681, 17247, 1948, 11152, 281, 476, 278, 9669, 543, 11150, 585, 4425, 24031, 16508, 26504, 538, 2659, 8866, 454, 268, 14780, 2358, 22990, 1304, 25860, 454, 32306, 513, 28951, 610, 5623, 454, 2710, 532, 865, 2337, 803, 1205, 519, 2262, 856, 827, 519, 15264, 269, 1775, 307, 17480, 13279, 741, 3406, 2164, 593, 2318, 16863, 267, 865, 621, 2731, 1281, 948, 2443, 543, 621, 779, 2653, 2336, 268, 8437, 24199, 3095, 547, 979, 547, 519, 15264, 1292, 2985, 563, 268, 8437, 593, 7348, 538, 1775, 307, 17480, 896, 519, 15264, 3382, 11247, 563, 268, 4495, 707, 1775, 307, 17480, 814, 9250, 543, 596, 616, 593, 519, 15264, 2985, 267, 4945, 593, 13158, 902, 543, 5623, 896, 519, 15264, 2012, 269, 1703, 596, 666, 4734, 2901, 610, 1312, 256, 8729, 865, 1454, 563, 23763, 547, 2594, 707, 1378, 2243, 267, 6085, 267, 610, 723, 707, 3214, 2995, 721, 1018, 789, 700, 10976, 292, 547, 1451, 827, 286, 8437, 2630, 543, 1376, 10916, 256, 0, 306, 12522, 3590, 8178, 906, 616, 2921, 1055, 607, 519, 1655, 1790, 15462, 585, 12570, 513, 4155, 610, 1788, 779, 12972, 609, 15822, 3590, 3741, 269, 1677, 5351, 11007, 538, 18176, 2066, 2872, 267, 649, 2461, 16089, 513, 3126, 540, 15822, 3590, 10495, 2480, 1681, 5517, 25420, 563, 2080, 568, 938, 11359, 7231, 609, 519, 1888, 281, 18176, 8905, 3785, 15828, 9975, 454, 1692, 547, 2708, 3785, 609, 2789, 3982, 6810, 454, 2691, 12570, 1279, 13080, 540, 4155, 1141, 835, 3296, 5654, 1360, 1114, 689, 1776, 630, 25669, 513, 17927, 540, 4683, 1646, 593, 606, 6382, 6917, 4155, 264, 621, 666, 581, 2352, 1729, 581, 2386, 602, 596, 723, 8308, 1249, 1819, 538, 519, 4220, 538, 1142, 3296, 563, 5194, 1455, 9183, 568, 513, 3259, 540, 4155, 609, 1360, 1114, 28963, 2059, 621, 269, 1215, 798, 649, 4308, 609, 891, 3871, 888, 2467, 568, 1100, 9090, 1318, 610, 4636, 2626, 1934, 267, 855, 972, 616, 930, 2553, 602, 666, 948, 596, 267, 543, 3622, 789, 616, 912, 268, 17797, 519, 8464, 1369, 519, 5119, 1759, 593, 519, 1764, 602, 519, 6810, 1131, 723, 593, 519, 2949, 1788, 563, 1103, 519, 1101, 9183, 267, 952, 519, 3710, 5346, 1858, 729, 1152, 476, 1911, 544, 1279, 3379, 547, 513, 2698, 3259, 540, 476, 276, 5998, 267, 519, 3310, 540, 519, 4884, 593, 519, 2949, 6060, 1131, 581, 1360, 1507, 563, 268, 21277, 576, 5094, 14290, 585, 1142, 9266, 3296, 563, 514, 519, 1101, 9183, 267, 713, 1131, 1611, 835, 5119, 585, 519, 4884, 543, 1776, 585, 519, 1964, 540, 519, 8905, 269, 769, 519, 2034, 9183, 267, 713, 1131, 1611, 835, 5119, 585, 519, 4571, 1532, 6674, 6810, 543, 5094, 14290, 585, 1142, 10167, 1826, 269, 1280, 1383, 267, 952, 972, 941, 1079, 5365, 2213, 28963, 267, 2947, 10862, 22306, 28963, 543, 835, 5180, 12671, 267, 596, 1058, 4440, 798, 1614, 14290, 281, 835, 585, 1142, 10167, 1826, 563, 21206, 5583, 568, 2016, 538, 519, 30647, 305, 1933, 338, 15822, 3590, 10495, 13832, 267, 4528, 476, 272, 269, 272, 267, 4989, 476, 1001, 280, 563, 1432, 568, 513, 15822, 3590, 10495, 888, 288, 15822, 3590, 10495, 568, 513, 1184, 547, 2268, 4155, 5989, 779, 12972, 609, 15822, 3590, 3741, 543, 519, 10700, 6662, 540, 14874, 14603, 543, 3978, 7063, 689, 26301, 593, 519, 4155, 3060, 7868, 1184, 568, 13006, 538, 3243, 30030, 7797, 6673, 7304, 2004, 280, 268, 1626, 267, 30647, 305, 1933, 338, 685, 543, 667, 303, 2316, 779, 15822, 3590, 10495, 13832, 269, 901, 5517, 16847, 2488, 24045, 1344, 543, 27792, 269, 0, 299, 3907, 2524, 568, 513, 12666, 6575, 543, 23408, 4110, 602, 2090, 1893, 543, 922, 2497, 269, 898, 12116, 875, 4654, 616, 4121, 267, 9268, 267, 543, 1031, 585, 2792, 269, 23008, 2524, 5654, 693, 1893, 593, 1082, 2157, 267, 689, 1367, 4992, 543, 6698, 547, 2347, 19039, 1734, 543, 11407, 269, 1703, 616, 3875, 8371, 1369, 23316, 602, 1445, 593, 1808, 3344, 540, 1893, 563, 1103, 713, 2376, 267, 649, 786, 4983, 519, 1114, 8371, 540, 23008, 2524, 865, 602, 596, 786, 581, 11461, 538, 707, 1353, 896, 513, 23008, 2524, 23422, 269, 5269, 2386, 547, 1224, 593, 543, 2671, 713, 2376, 2336, 28899, 645, 3757, 2583, 540, 23008, 2524, 454, 299, 3907, 2524, 666, 581, 17618, 5258, 883, 1079, 1292, 2127, 281, 1893, 2497, 543, 1893, 946, 269, 5678, 2497, 12116, 519, 3334, 602, 1118, 909, 1893, 1765, 338, 2432, 267, 1913, 267, 543, 5220, 269, 5678, 946, 5654, 693, 875, 1893, 568, 8246, 538, 1483, 8996, 8658, 585, 2792, 269, 634, 8371, 7231, 609, 2497, 4043, 547, 1491, 513, 811, 7811, 1935, 267, 1247, 519, 8371, 5059, 593, 946, 1419, 1491, 606, 4294, 1935, 563, 763, 8371, 5059, 593, 1893, 2497, 1413, 693, 519, 3334, 602, 1118, 909, 519, 10409, 1062, 3294, 9789, 2679, 7161, 540, 1893, 269, 901, 2882, 2127, 899, 912, 268, 1912, 517, 7497, 1107, 22718, 519, 4992, 540, 4633, 267, 875, 789, 616, 3812, 9308, 538, 519, 13047, 8778, 543, 741, 17974, 7907, 563, 268, 1912, 517, 1108, 281, 4974, 519, 7493, 3280, 1949, 538, 513, 1893, 901, 2882, 13093, 655, 525, 267, 24424, 267, 2566, 3270, 267, 543, 13093, 1670, 3652, 563, 268, 5651, 874, 1108, 1107, 24167, 519, 4835, 2497, 540, 1913, 267, 3597, 1913, 267, 18772, 525, 267, 21879, 525, 267, 543, 3652, 540, 2262, 5250, 563, 268, 16522, 1314, 1107, 18391, 693, 519, 3652, 602, 1827, 4845, 2497, 543, 8239, 269, 16522, 1314, 5654, 693, 2262, 1931, 267, 4845, 23466, 267, 3652, 540, 19916, 543, 8239, 563, 4322, 4610, 1491, 513, 1360, 9836, 5133, 593, 1893, 269, 1358, 1353, 519, 7293, 968, 30672, 892, 543, 968, 337, 2737, 892, 602, 1450, 3425, 547, 1106, 1134, 268, 11526, 1913, 543, 5220, 269, 901, 7293, 2079, 2636, 8059, 1235, 547, 1174, 519, 3334, 543, 3270, 540, 1893, 563, 763, 8371, 5059, 593, 1893, 946, 1491, 513, 811, 4294, 267, 8739, 14426, 5133, 269, 1358, 1413, 693, 875, 1893, 568, 1031, 29858, 538, 1483, 8996, 8658, 269, 901, 2882, 4610, 899, 912, 268, 5369, 565, 3907, 2524, 1107, 24356, 519, 5042, 3157, 3238, 538, 6721, 267, 6544, 1516, 267, 543, 16565, 1893, 563, 268, 5081, 565, 3907, 2524, 1107, 10289, 875, 1893, 25998, 609, 1514, 2188, 899, 1362, 267, 14940, 267, 4008, 267, 2528, 267, 543, 32638, 8658, 563, 268, 26285, 3901, 923, 1107, 24167, 875, 2495, 568, 24829, 998, 29943, 267, 2796, 267, 543, 32705, 6411, 563, 268, 11930, 23008, 2524, 1107, 4045, 532, 1893, 1382, 547, 4052, 26441, 899, 2069, 267, 12985, 23316, 267, 18837, 23316, 267, 543, 682, 13877, 2762, 563, 4322, 4610, 2070, 1893, 811, 2868, 12264, 267, 607, 513, 1907, 585, 2792, 267, 1514, 5872, 267, 543, 4082, 269, 1358, 1353, 519, 6198, 5107, 540, 1893, 1107, 875, 3425, 2965, 15407, 713, 1062 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2207, 2975, 3198, 892, 6730, 674, 5495, 294, 12487, 19739, 3008, 3633, 623, 18306, 6938, 312, 28940, 5442, 570, 28692, 19447, 10498, 306, 267, 23140, 4041, 309, 3041, 12778, 6730, 17834, 9654, 2464, 269, 5990, 312, 21781, 2562, 3633, 11083, 307, 2894, 3582, 15760, 744, 6717, 16810, 312, 5058, 717, 10976, 30204, 16774, 631, 2177, 9331, 19006, 10396, 9338, 290, 2969, 6938, 313, 4959, 299, 13263, 6730, 654, 5495, 21254, 3633, 918, 301, 7417, 267, 590, 5495, 8025, 21096, 298, 5588, 288, 563, 296, 6573, 18306, 19611, 2910, 7838, 307, 31909, 2464, 12327, 307, 21715, 5058, 595, 4353, 6579, 681, 26996, 4811, 5442, 12710, 11070, 3633, 281, 631, 2894, 14701, 313, 966, 269, 654, 12239, 300, 2562, 4306, 2207, 590, 29558, 5357, 667, 8780, 30278, 307, 630, 3707, 278, 264, 2507, 769, 930, 4993, 3506, 267, 11204, 12677, 1453, 941, 5302, 27935, 269, 898, 729, 12199, 538, 713, 2013, 602, 9668, 1369, 513, 5198, 729, 711, 15868, 952, 711, 2838, 676, 513, 1808, 1533, 1876, 543, 14284, 519, 3390, 540, 519, 9050, 18818, 14821, 269, 630, 30952, 602, 1032, 4993, 4735, 4705, 922, 1153, 5302, 2958, 725, 4031, 799, 4294, 547, 5545, 543, 4457, 1453, 264, 667, 5085, 294, 4696, 302, 966, 269, 645, 17129, 4629, 303, 4959, 291, 630, 3707, 279, 264, 2507, 17780, 593, 519, 3105, 2013, 267, 519, 7147, 30374, 4937, 4956, 602, 17478, 540, 11204, 12677, 1453, 729, 10363, 269, 5548, 326, 5964, 647, 539, 645, 770, 1886, 4959, 291, 267, 19101, 602, 9668, 540, 11204, 12677, 1453, 1510, 513, 1808, 1533, 1876, 729, 513, 18670, 543, 519, 772, 2529, 269, 10588, 7040, 8815, 269, 21540, 12198, 540, 11204, 12677, 1453, 729, 10288, 547, 3247, 538, 7147, 563, 295, 2207, 2793, 301, 14701, 313, 966, 269, 570, 13052, 3008, 630, 4198, 275, 264, 2507, 5475, 513, 24235, 585, 12638, 670, 1716, 663, 14162, 4300, 4705, 547, 519, 10966, 7040, 1317, 1100, 11204, 12677, 29632, 832, 1185, 6039, 538, 1010, 10315, 585, 811, 982, 476, 1839, 1296, 269, 634, 5480, 12199, 602, 11204, 4892, 941, 13886, 607, 513, 1362, 547, 4027, 896, 519, 476, 1691, 628, 14821, 630, 515, 1185, 519, 1318, 547, 581, 6836, 676, 513, 21139, 689, 799, 1010, 1362, 729, 711, 16934, 264, 18040, 25492, 966, 269, 681, 9680, 2464, 9898, 630, 3192, 274, 264, 2507, 26473, 1600, 2582, 2173, 1897, 13102, 538, 28543, 543, 645, 1410, 541, 17521, 267, 865, 2199, 2516, 1223, 1528, 741, 1378, 13222, 269, 630, 307, 1410, 553, 1705, 711, 723, 519, 1318, 547, 5806, 3729, 676, 4259, 909, 3818, 268, 4759, 13102, 264, 11581, 294, 11246, 302, 7495, 4959, 291, 966, 269, 918, 7644, 289, 312, 630, 2735, 275, 264, 2507, 26473, 1600, 1153, 8804, 547, 2333, 7616, 585, 1053, 538, 25013, 13102, 269, 630, 298, 597, 2421, 729, 519, 7147, 4065, 30934, 264 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 12047, 2970, 622, 737, 677, 324, 329, 5137, 454, 514, 1203, 800, 284, 4590, 604, 711, 11891, 912, 825, 1820, 2891, 9767, 723, 1100, 649, 1901, 517, 5602, 6358, 19629, 333, 18208, 9373, 547, 1552, 328, 826, 5602, 514, 1203, 800, 284, 2891, 1873, 867, 20350, 19930, 834, 1301, 528, 20350, 19930, 834, 3333, 1752, 20350, 19930, 834, 327, 559, 1494, 542, 15419, 2745, 19629, 333, 298, 677, 324, 329, 3568, 281, 5602, 2745, 263, 514, 1203, 800, 994, 2745, 19629, 333, 3383, 267, 538, 707, 19070, 531, 281, 5602, 1721, 6221, 538, 11891, 912, 825, 1820, 263, 14403, 994, 6358, 19629, 333, 14826, 18208, 13673, 614, 547, 14827, 5602, 0, 258, 12047, 2970, 622, 8638, 454, 514, 1203, 800, 284, 14277, 1873, 867, 14824, 1301, 528, 14824, 3333, 1752, 14824, 327, 559, 1494, 542, 31116, 2745, 19629, 333, 3383, 267, 707, 19070, 531, 281, 19515, 1721, 6221, 538, 11891, 912, 825, 1820, 263, 14403, 994, 2745, 2891, 1103, 707, 19070, 531, 14307, 6352, 263, 514, 1203, 800, 1070, 257, 1919, 15419, 604, 834, 327, 559, 1494, 542, 257, 538, 11891, 912, 825, 1820, 2891, 16524, 1272, 547, 519, 3751, 10590, 2020, 258, 16435, 823, 454, 11034, 25507, 9272, 19629, 333, 21607, 1376, 4994, 281, 27328, 21129, 880, 25507, 9272, 19629, 333, 21607, 1439, 4994, 281, 27328, 2745, 2891, 20228, 1047, 540, 11891, 314, 2580, 11034, 2437, 24333, 21129, 880, 2437, 316, 910, 14307, 754, 6889, 19515, 2745, 263, 514, 1203, 800, 314, 11034, 281, 21129, 880, 7481, 2745, 263, 514, 1203, 800, 314, 274, 7481, 2745, 263, 514, 1203, 800, 314, 271, 20285, 258, 935, 13906, 523, 566, 454, 3832, 560, 284, 14277, 326, 1245, 14824, 1962, 650, 328, 1218, 31116, 2745, 2891, 2791, 723, 1336, 9221, 267, 972, 616, 281, 19515, 2745, 263, 3832, 560, 994, 2745, 2891, 2791, 3773, 9221, 707, 547, 19070, 531, 5602, 514, 1203, 800, 23785, 3832, 560, 454, 2745, 2891, 2080, 538, 707, 19070, 531, 281, 19515, 2745, 263, 514, 1203, 800, 2020, 258, 4219, 1592, 454, 2745, 2891, 2791, 1689, 18156, 547, 818, 4472, 652, 5602, 514, 1203, 800, 314, 271, 316, 6889, 541, 4472, 652, 4840, 2745, 2891, 2080, 538, 707, 19070, 531, 281, 19515, 2745, 263, 514, 1203, 800, 2020, 258, 16435, 823, 454, 2745, 2891, 2171, 11751, 9059, 12627, 585, 4154, 543, 11958, 328, 1218, 267, 602, 666, 1294, 519, 2104, 5602, 514, 1203, 800, 314, 275, 281, 277, 24557, 14277, 332, 20723, 12627, 31116, 2745, 2891, 2080, 538, 707, 19070, 531, 281, 19515, 2745, 263, 514, 1203, 800, 2020, 258, 1372, 548, 1154, 454, 2745, 2891, 4537, 1752, 729, 7745, 5602, 23437, 11891, 314, 273, 2639, 2745, 2891, 2080, 538, 707, 19070, 531, 281, 19515, 2745, 263, 514, 1203, 800, 2020, 258, 1372, 548, 1154, 20105, 454, 23437, 11891, 11468, 273, 2639, 2745, 2891, 1320, 3971, 338, 512, 8898, 818, 4472, 652, 543, 24915, 5602, 2745, 2891, 2080, 538, 707, 19070, 531, 281, 19515, 2745, 263, 514, 1203, 800, 9239, 6358, 9497, 315, 333, 18208, 4283, 547, 14827, 5602, 0, 454, 258, 8193, 281, 30016, 268, 279, 692, 258, 769, 314, 278, 28660, 454, 258, 12047, 2970, 622, 2542, 6119, 454, 2745, 2891, 15411, 543, 2673, 3758, 5602, 3667, 18316, 284, 13449, 2891, 1348, 318, 527, 17902, 14824, 337, 2580, 16780, 5317, 8782, 583, 325, 268, 279, 5073, 3667, 18316, 25379, 4590, 2745, 19629, 333, 20091, 3758, 3090, 676, 3090, 5602, 3667, 18316, 284, 13449, 2891, 1348, 318, 527, 17902, 14824, 337, 5602, 2745, 29495, 18316, 18667, 263, 272, 4917, 2745, 29495, 18316, 18667, 263, 276, 4917, 3667, 18316, 25379, 4590, 2745, 19629, 333, 5649, 3758, 7357, 5602, 3667, 18316, 284, 13449, 2891, 1348, 318, 527, 17902, 14824, 337, 2580, 16780, 5317, 8782, 583, 325, 268, 279, 5073, 3369, 1961, 318, 2251, 284, 3667, 18316, 18667, 4590, 2745, 263, 3369, 1961, 318, 2251, 994, 3667, 18316, 25379, 4590, 2745, 19629, 333, 5649, 835, 8482, 3090, 676, 3090, 5602, 3667, 18316, 284, 13449, 2891, 1348, 318, 527, 17902, 14824, 337, 2580, 16780, 5317, 8782, 583, 325, 268, 279, 5073, 2745, 29495, 18316, 18667, 1467, 263, 272, 4917, 2745, 29495, 18316, 18667, 1467, 263, 276, 4917, 3667, 18316, 25379, 4590, 2745, 19629, 333, 5649, 835, 8482, 7357, 5602, 3667, 18316, 284, 13449, 2891, 1348, 318, 527, 17902, 14824, 337, 2580, 16780, 5317, 8782, 583, 325, 268, 279, 5073, 2745, 29495, 18316, 18667, 1467, 15405, 2745, 29495, 18316, 18667, 1467, 15405, 2745, 29495, 18316, 18667, 1467, 15405, 3667, 18316, 25379, 4590, 2745, 19629, 333, 3918, 611, 3758, 883, 1592, 5602, 3667, 18316, 284, 13449, 2891, 1348, 318, 527, 17902, 14824, 337, 2580, 16780, 5317, 8782, 583, 325, 268, 279, 5073, 6050, 284, 3667, 18316, 18667, 6050, 4590, 2745, 263, 6050, 994, 2745, 12759, 263, 6050, 4917, 1721, 1899, 538, 3515, 912, 825, 1820, 263, 1467, 994, 3667, 18316, 25379, 4590, 2745, 19629, 333, 21982, 3758, 3090, 676, 3090, 5602, 3667, 18316, 284, 13449, 2891, 1348, 318, 527, 17902, 14824, 337, 2580, 16780, 5317, 8782, 583, 325, 268, 279, 5073, 1721, 1899, 538, 1257, 18316, 912, 825, 1820, 263, 1467, 994, 3667, 18316, 25379, 10797, 6358, 19629, 333, 14826, 12304, 4283, 547, 14827, 15419, 0, 5814, 10070, 1477, 29323, 11456, 284, 9497, 265, 257, 2608, 476, 736, 3738, 1341, 27719, 333, 257, 5897, 335, 10042, 8217, 320, 284, 4289, 14052, 1721, 1775, 538, 2039, 263, 276, 8029, 825, 7796, 320, 8217, 320, 6910, 9272, 2891, 291, 877, 1714, 9930, 3691, 513, 989, 2958, 541, 281, 834, 264, 10142, 258, 338, 659, 541, 3693, 657, 632, 3288, 7796, 320, 1477, 6112, 7796, 320, 8217, 320, 6769, 825, 1820, 9638, 10042, 8217, 320, 21014, 3890, 3418, 2745, 263, 29323, 11456, 10142, 258, 10044, 7796, 320, 598, 632, 4302, 7989, 924, 989, 10915, 541, 586, 1605, 2381, 541, 3693, 657, 1477, 335, 10042, 318, 1372, 4302, 284, 3712, 27928, 19709, 4302, 14052, 1721, 1775, 538, 2039, 263, 273, 8029, 825, 7796, 320, 318, 1372, 4302, 6910, 9272, 2891, 291, 830, 1714, 9930, 3691, 513, 989, 2958, 541, 281, 834, 17903, 258, 338, 659, 541, 3693, 657, 632, 3288, 7796, 320, 1477, 6112, 7796, 320, 318, 1372, 4302, 6769, 825, 1820, 9638, 10042, 318, 1372, 4302, 21014, 3890, 3418, 10139, 0, 29323, 11456, 815, 2891, 265, 257, 2608, 476, 1428, 3738, 1341, 27719, 333, 29177, 21506, 3712, 320, 284, 4289, 14052, 1721, 18085, 21059, 476, 538, 2039, 263, 275, 8029, 825, 562, 826, 17383, 284, 6358, 2891, 301, 558, 3691, 1642, 556, 857, 523, 561, 5586, 5964, 2433, 834, 3418, 825, 897, 320, 6910, 3799, 826, 17383, 10142, 2745, 6600, 257, 5353, 989, 2958, 16336, 2715, 6352, 263, 3712, 320, 14587, 476, 3693, 657, 281, 834, 3418, 1721, 3693, 334, 538, 897, 320, 6769, 825, 1820, 16216, 2211, 334, 3418, 2745, 263, 29323, 11456, 3418, 10139, 5897, 2745, 2891, 3682, 1027, 655, 657, 513, 5154, 14373, 14744, 6112, 897, 320, 6769, 825, 1820, 263, 3712, 320, 21014, 3890, 3418, 10139, 0, 5814, 1770, 11687, 454, 5228, 1576, 1104, 1576, 7531, 5035, 3733, 14818, 19111, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1305, 10000, 4311, 2187, 1038, 1582, 269, 2908, 6831, 6847, 815, 1576, 263, 13199, 276, 267, 834, 30261, 2580, 476, 273, 994, 825, 1219, 1449, 318, 1326, 20311, 4311, 2187, 1038, 1582, 27863, 4311, 269, 2908, 6831, 6847, 10947, 20311, 19572, 476, 13199, 276, 994, 825, 1219, 1449, 318, 1326, 12173, 4311, 2187, 1038, 1582, 27863, 4311, 269, 2908, 6831, 6847, 10947, 12173, 19572, 834, 30261, 5602, 825, 1219, 1449, 318, 1326, 318, 920, 323, 1080, 4311, 2187, 1038, 1582, 27863, 4311, 269, 2908, 6831, 6847, 10947, 318, 920, 323, 1080, 19572, 476, 273, 994, 825, 1219, 1449, 27133, 12173, 4311, 2187, 1038, 1582, 269, 2908, 6831, 6847, 15630, 12173, 2891, 20412, 639, 5602, 1038, 1582, 27863, 4311, 269, 2908, 6831, 6847, 10947, 12173, 19572, 834, 20412, 639, 5602, 825, 1219, 1449, 27133, 20311, 4311, 2187, 1038, 1582, 269, 2908, 6831, 6847, 15630, 20311, 263, 13199, 277, 994, 1038, 1582, 27863, 4311, 269, 2908, 6831, 6847, 10947, 20311, 19572, 476, 13199, 277, 994, 825, 1219, 1449, 27133, 318, 920, 323, 1080, 4311, 2187, 1038, 1582, 269, 2908, 6831, 6847, 15630, 318, 920, 323, 1080, 263, 275, 994, 1038, 1582, 27863, 4311, 269, 2908, 6831, 6847, 10947, 318, 920, 323, 1080, 19572, 476, 275, 994, 825, 1219, 1449, 23952, 4311, 2187, 1038, 1582, 27863, 2891, 13199, 276, 4702, 476, 273, 2580, 1193, 4311, 269, 2908, 6831, 6847, 11723, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1770, 11687, 6230, 664, 4590, 0, 258, 9502, 585, 513, 9352, 3529, 6843, 563, 258, 1362, 30741, 912, 258, 672, 1219, 6449, 8181, 9191, 1345, 267, 1535, 2187, 258, 1363, 1582, 22183, 815, 1535, 454, 258, 1363, 1582, 16000, 815, 7183, 454, 258, 1363, 1582, 16192, 815, 7183, 692, 5035, 8827, 912, 825, 1219, 3775, 4311, 267, 3597, 2187, 1038, 8173, 1038, 2433, 6943, 3597, 281, 30741, 454, 1038, 2433, 337, 6943, 281, 703, 454, 1038, 8173, 1038, 952, 711, 3597, 912, 2018, 2132, 476, 271, 454, 1038, 1267, 815, 3193, 4311, 16553, 21659, 20172, 4917, 1038, 2132, 1267, 22562, 825, 1219, 1016, 21659, 4311, 267, 3597, 2187, 1038, 2451, 26371, 815, 1496, 271, 267, 476, 271, 2639, 1038, 1318, 26371, 815, 1496, 271, 267, 476, 271, 2639, 1038, 31575, 318, 14310, 815, 1496, 271, 267, 476, 271, 2639, 1038, 952, 711, 3597, 912, 2018, 2132, 1496, 271, 267, 476, 271, 2639, 1038, 952, 3597, 16000, 912, 2018, 2451, 26371, 815, 1582, 16553, 21659, 20172, 16000, 994, 1038, 952, 3597, 16192, 912, 2018, 1318, 26371, 815, 1582, 16553, 21659, 20172, 16192, 264, 13872, 1038, 1948, 711, 3775, 3597, 454, 1038, 31575, 318, 14310, 314, 271, 316, 815, 3193, 263, 3847, 26371, 314, 271, 3910, 2451, 26371, 314, 272, 8079, 1341, 3193, 263, 2431, 26371, 314, 271, 3910, 1318, 26371, 314, 272, 7481, 1038, 1948, 3775, 3597, 454, 1038, 31575, 318, 14310, 314, 272, 316, 815, 3597, 22183, 1341, 2451, 26371, 314, 271, 316, 1341, 1318, 26371, 314, 271, 2639, 1038, 2132, 31575, 318, 14310, 0, 258, 1362, 8827, 24998, 2187, 258, 672, 1219, 13074, 21595, 30308, 4311, 267, 521, 2187, 258, 1363, 8173, 258, 1363, 2433, 6943, 521, 281, 1193, 454, 258, 1363, 2433, 337, 6943, 281, 703, 454, 258, 1363, 8173, 258, 1363, 31575, 815, 18358, 258, 23300, 258, 1363, 585, 1775, 538, 2039, 12759, 4433, 15892, 258, 17264, 31575, 6910, 4433, 5157, 281, 328, 266, 272, 7481, 258, 17264, 31575, 6910, 3488, 258, 5073, 258, 1363, 521, 318, 2908, 815, 630, 3269, 1040, 21860, 6025, 5404, 994, 258, 1363, 1820, 4433, 318, 2908, 994, 258, 1363, 4571, 815, 7003, 4433, 318, 2908, 264, 12262, 476, 273, 454, 258, 1363, 3193, 28747, 815, 476, 271, 454, 258, 1363, 585, 1775, 538, 2039, 263, 272, 267, 4571, 2187, 258, 17264, 1225, 815, 521, 318, 2908, 5157, 281, 7003, 4433, 318, 2908, 264, 910, 1775, 2639, 258, 17264, 952, 1582, 18994, 21595, 30308, 263, 2017, 2187, 258, 4449, 3193, 28747, 815, 3193, 32384, 28747, 267, 7003, 263, 2017, 4917, 258, 1363, 2132, 3193, 28747, 12262, 476, 273, 692, 258, 672, 1219, 568, 21595, 30308, 4311, 267, 521, 2187, 258, 1363, 2132, 521, 2652, 521, 11468, 18737, 272, 6540, 258, 952, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 258, 672, 1820, 263, 11405, 14061, 14075, 652, 21595, 30308, 2891, 629, 764, 764, 9536, 8442, 2020, 5035, 8827, 24998, 2187, 825, 1219, 13074, 21595, 30308, 4311, 267, 521, 2187, 1038, 8173, 1038, 2433, 6943, 521, 281, 1193, 454, 1038, 2433, 337, 6943, 281, 703, 454, 1038, 8173, 1038, 9598, 4671, 5404, 815, 31460, 1038, 585, 1775, 538, 2039, 12759, 4433, 15892, 2018, 1225, 318, 10420, 815, 521, 5157, 281, 328, 266, 272, 2639, 2018, 952, 1225, 318, 10420, 711, 538, 9598, 4671, 5404, 912, 3546, 9598, 4671, 5404, 314, 2017, 318, 10420, 316, 815, 476, 272, 454, 2018, 3116, 912, 3546, 9598, 4671, 5404, 314, 2017, 318, 10420, 316, 6834, 476, 272, 692, 1038, 3193, 28747, 815, 476, 271, 454, 1038, 9206, 815, 476, 271, 454, 1038, 585, 4994, 267, 1871, 538, 9598, 4671, 5404, 29096, 10031, 2018, 952, 1871, 4939, 476, 273, 2652, 476, 272, 912, 3546, 9206, 815, 476, 272, 454, 3546, 3193, 28747, 6834, 1871, 910, 476, 272, 454, 2018, 3116, 912, 3546, 3193, 28747, 6834, 1871, 692, 1038, 2132, 3193, 28747, 1341, 9206, 0, 18411, 19152, 281, 1496, 275, 267, 273 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8317, 543, 519, 3775, 1231, 602, 941, 31743, 713, 835, 2476, 7902, 547, 581, 7863, 741, 670, 821, 903, 22976, 10874, 787, 1426, 2707, 563, 28074, 811, 4749, 789, 3406, 585, 7786, 267, 1419, 1818, 1804, 9475, 538, 4054, 267, 2523, 4666, 3574, 269, 2961, 335, 10938, 4165, 338, 616, 513, 5172, 1426, 563, 303, 850, 730, 8381, 701, 1188, 619, 3251, 609, 519, 1482, 19898, 585, 1272, 543, 2611, 538, 519, 1482, 1804, 8513, 1032, 15778, 269, 634, 1762, 3251, 609, 519, 3237, 2394, 519, 12096, 267, 950, 519, 5104, 32596, 979, 856, 593, 741, 1378, 267, 547, 1265, 741, 8513, 543, 513, 19898, 563, 3383, 594, 993, 711, 14281, 602, 1250, 1101, 8289, 532, 540, 513, 623, 850, 730, 1934, 568, 538, 519, 12096, 269, 901, 568, 835, 6177, 2249, 4171, 2338, 2408, 547, 581, 2810, 543, 4025, 899, 4432, 21289, 1215, 749, 267, 609, 513, 6086, 633, 3574, 539, 1858, 609, 1804, 18136, 4054, 543, 1100, 17055, 6292, 267, 949, 1360, 1134, 4482, 513, 11174, 3168, 585, 513, 1747, 540, 922, 1378, 563, 296, 798, 711, 917, 9090, 602, 2221, 779, 6177, 729, 513, 11174, 267, 855, 621, 4667, 10257, 547, 1589, 865, 269, 769, 799, 2013, 267, 621, 949, 3136, 547, 3406, 2417, 269, 2107, 621, 949, 6430, 547, 3251, 538, 713, 1858, 267, 609, 4432, 21289, 1215, 749, 1373, 851, 540, 922, 1007, 8513, 563, 296, 786, 581, 8384, 2336, 288, 3723, 16694, 281, 1879, 594, 6592, 2221, 779, 1265, 267, 594, 13761, 513, 7008, 2338, 269, 623, 850, 730, 8381, 701, 14982, 568, 519, 476, 14991, 628, 6177, 2249, 602, 594, 723, 4857, 538, 4432, 21289, 1215, 749, 5244, 269, 1656, 594, 19481, 621, 593, 519, 476, 20385, 276, 628, 3802, 1282, 799, 594, 723, 7396, 519, 5017, 2938, 269, 0, 3528, 281, 667, 12447, 2098, 269, 27173, 334, 267, 11022, 267, 631, 9391, 267, 14174, 4338, 1299, 2961, 320, 23045, 2006, 267, 808, 291, 267, 12463, 295, 454, 2252, 707, 1126, 814, 2027, 1072, 1416, 2115, 267, 707, 1920, 949, 1869, 581, 23232, 689, 519, 17799, 267, 23545, 725, 543, 2242, 547, 3232, 13467, 543, 1489, 1949, 1282, 519, 5046, 268, 866, 6855, 563, 3086, 267, 607, 2950, 6001, 3268, 971, 607, 9633, 532, 547, 2149, 1996, 5046, 268, 866, 267, 596, 949, 4898, 875, 1655, 547, 1832, 707, 1126, 610, 7141, 609, 2027, 1072, 1416, 2115, 2922, 563, 14399, 543, 6107, 609, 2027, 1072, 1416, 2115, 723, 5312, 2168, 267, 11095, 267, 8965, 610, 3929, 2175, 267, 9124, 543, 1199, 1227, 1950, 2175, 269, 1452, 666, 2322, 873, 693, 1981, 585, 811, 4049, 4576, 543, 8374, 689, 5046, 268, 866, 563, 2005, 781, 1271, 547, 1832, 6340, 909, 827, 7028, 267, 2533, 543, 3435, 596, 991, 585, 707, 1126, 543, 1920, 607, 649, 1847, 4464, 563, 8196, 6106, 540, 4027, 1299, 3860, 267, 8465, 2081, 547, 9108, 2743, 2115, 454, 763, 1377, 540, 2146, 6771, 568, 1869, 519, 7887, 9920, 540, 1981, 585, 3214, 609, 2027, 1072, 1416, 2115, 269, 1879, 972, 616, 454, 327, 27941, 2157, 540, 2146, 6771, 267, 811, 2157, 540, 4027, 1058, 581, 6854, 538, 1747, 269, 1452, 6106, 540, 4027, 1331, 912, 26542, 268, 866, 10074, 630, 663, 5818, 619, 264, 585, 782, 14718, 1453, 543, 4079, 267, 2523, 3025, 945, 814, 3346, 609, 3214, 609, 2027, 1072, 1416, 2115, 269, 901, 2882, 1920, 2818, 267, 7622, 17066, 267, 1072, 1416, 4600, 543, 2069, 4600, 269, 2368, 3214, 2085, 476, 276, 1296, 543, 4587, 945, 3893, 1079, 5046, 268, 866, 6669, 13066, 543, 723, 18604, 4761, 1949, 1058, 1205, 513, 454, 628, 2273, 9570, 540, 6669, 269, 2368, 3214, 2085, 476, 1321, 268, 1704, 1296, 609, 18604, 4761, 1949, 1058, 1205, 3606, 454, 5472, 5227, 6375, 3074, 269, 5753, 543, 6107, 609, 2027, 1072, 1416, 2115, 849, 991, 547, 3251, 909, 547, 4266, 593, 782, 454, 516, 5570, 2105, 10074, 269, 634, 454, 22381, 8929, 585, 3025, 2085, 476, 277, 3275, 543, 4587, 568, 3226, 1271, 1282, 519, 6855, 547, 2149, 3214, 945, 616, 693, 606, 2799, 1981, 585, 14798, 8374, 269, 898, 568, 1271, 547, 5431, 519, 991, 547, 3247, 519, 3262, 540, 782, 7929, 10108, 563, 300, 3696, 1299, 824, 2123, 8825, 3937, 269, 15742, 1453, 609, 2027, 1072, 1416, 2115, 609, 2175, 1634, 547, 2322, 873, 693, 454, 327, 27941, 1981, 585, 4049, 4576, 609, 16568, 17336, 268, 273, 3968, 267, 607, 1134, 607, 741, 3885, 543, 15637, 267, 949, 991, 519, 1826, 540, 2123, 8825, 3937, 1031, 676, 1072, 1416, 4600, 267, 971, 607, 715, 4817, 6711, 2209, 543, 3750, 4027, 269, 13185, 609, 707, 12963, 1014, 827, 2436, 2027, 8825, 10591, 949, 581, 2877, 269, 5901, 538, 2247, 912, 2467, 616, 1360, 1906, 2564, 2175, 602, 1131, 2061, 1453, 2085, 476, 273, 1296, 543, 4587, 689, 9849, 454, 2183, 13968, 602, 4625, 3382, 519, 9224, 543, 5023, 269, 634, 1655, 4027, 568, 2016, 676, 454, 6202, 1922, 9231, 715, 4817, 270, 298, 4817, 270, 298, 293, 11463, 13968, 267, 4553, 676, 1134, 1922, 9231, 10551, 24579, 1027, 675, 13968, 563, 21093, 1434, 3795, 689, 513, 3068, 9633, 949, 1491, 3063, 3007, 585, 513, 1126, 610, 7141, 945, 814, 513, 454, 322, 3757, 1470, 325, 18432, 2783, 269, 4855, 4388, 454, 1877, 547, 948, 707, 1126, 1205, 1031, 547, 9849, 513, 3068, 9633, 267, 543, 875, 547, 1205, 621, 547, 3514, 7157, 563, 5278, 1453, 609, 513, 11095, 267, 3929, 610, 2790, 1072, 5868, 949, 991, 5059, 942, 543, 3860, 4058, 547, 5000, 873, 547, 1832, 9849, 513, 3068, 9633, 563, 25791, 2984, 547, 948, 707, 1126, 1831, 5432, 609, 13968, 610, 7444, 1628, 10892, 936, 942, 609, 513, 9849, 8430, 269, 1280, 1453, 945, 7048, 593, 9067, 2542, 267, 1004, 538, 2673, 3346, 666, 946, 3068, 13968, 609, 12001, 9486, 269, 16952, 2081, 540, 14379, 267, 971, 607, 5639, 3562, 17856, 5985, 8924, 949, 849, 581, 5363, 269, 1403, 707, 1126, 814, 513, 8965, 13309, 610, 17163, 13309, 267, 2015, 6998, 891, 4648, 547, 1118, 9633, 9849, 513, 851, 540, 707, 1126, 781, 9354, 3853, 563, 306, 29195, 5624, 269, 3680, 519, 476, 274, 595, 781, 281, 6806, 5624, 267, 22125, 4025, 630, 1231, 728, 543, 856, 264, 543, 2673, 3346, 269, 1452, 666, 3262, 7929, 20256, 543, 8290, 563, 306, 920, 2287, 4255, 269, 5046, 9584, 4255, 666, 581, 513, 3730, 1907, 585, 1416, 7426, 945, 616, 538, 2673, 3346, 609, 707, 1126, 543, 666, 2709, 1776, 4494, 540, 4027, 269, 4658, 945, 949, 991, 547, 1449, 811, 1419, 1331, 1753, 1416, 7426, 267, 1126, 1416, 7426, 267, 3610, 543, 16293, 269, 31313, 609, 707, 12963, 1014, 547, 948, 6330, 5717, 609, 1416, 7426, 827, 5046, 268, 866, 12674, 4567, 543, 946, 540, 3068, 13968, 563, 295, 1343, 1299, 7252, 269, 7435, 11067, 543, 7738, 7252, 267, 2523, 538, 3838, 5624, 543, 609, 3838, 3615, 267, 3788, 1271, 269, 901, 568, 3020, 711, 1175, 585, 5046, 267, 855, 849, 585, 824, 3676, 602, 616, 3262, 11593, 998, 1463, 2627, 3346, 269, 1403, 707, 1126, 568, 11504, 1153, 267, 11257, 610, 824, 2238, 538, 1268, 267, 723, 7391, 547, 1118, 2386, 2627, 7738, 543, 1688, 31290, 616, 851, 540, 519, 1184, 269, 1411, 666, 2307, 1018, 7727, 786, 581, 2139, 630, 32355, 689, 519, 1153, 610, 4547, 676, 519, 2875, 1916, 16676, 5224, 6106, 540, 4027, 454, 28444, 675, 707, 1126, 666, 1832, 1210, 6106, 540, 4027, 789, 991, 269, 5917, 11229, 585, 7850, 14910, 538, 519, 4928, 269, 4518, 609, 707, 12963, 1014, 543, 1153, 547, 1711, 4566, 602, 1577, 707, 1126, 3136, 547, 5957, 13968, 538, 741, 4928, 538, 513, 1259, 602, 5849, 741, 3106, 543, 1281, 711, 2582, 873, 856, 269, 6333, 1519, 891, 2994, 538, 741, 10572, 1242, 4065, 5358, 630, 296, 7968, 264, 610, 476, 27843, 1544, 563, 300, 2532, 946, 538, 519, 1753, 454, 288, 1920, 1544, 585, 946, 540, 3068, 13968, 949, 581, 5363, 538, 707, 1753, 269, 1280, 1383, 912, 332, 27965, 14014, 1453, 945, 616, 711, 14718, 585, 519, 6669, 610, 616, 1932, 1762, 547, 5957, 513, 9633, 454, 323, 1005, 2053, 950, 4598, 1981, 568, 11506, 454, 514, 519, 4259, 540, 1164, 2146, 6771, 454, 663, 547, 3247, 519, 3644, 689, 10825, 689, 1866, 538, 707, 1753, 267, 2523, 950, 2576, 568, 7210, 454, 5970, 513, 1544, 538, 1747, 952, 707, 1126, 4991, 7210, 454, 16485, 707, 12963, 1014, 547, 948, 1020, 513, 1544, 538, 2013, 707, 1126, 610, 513, 7622, 4759, 568, 6534, 267, 7783, 610, 32509, 609, 5046, 268, 866, 269, 634, 1544, 1058, 1331, 1344, 593, 17034, 27179, 2126, 610, 1395, 16438, 4689, 12489, 952, 2139, 543, 14718, 269, 19198, 1058, 2671, 713, 1344, 609, 741, 1126, 610, 7141, 781, 1153, 563, 13706, 7658, 8234, 3681, 585, 16758, 543, 3797, 20499, 454, 2252, 707, 1126, 814, 2834, 543, 2789, 8502, 11564, 267, 2911, 547, 707, 12963, 1014, 543, 12665, 547, 1544, 856, 513, 8430, 547, 5781, 2638, 538, 543, 2689, 2115, 269, 9105, 799, 11564, 666, 581, 2944, 12303, 543, 799, 991, 547, 581, 538, 1268, 267, 607, 1134, 607, 1018, 568, 4988, 676, 6142, 563, 29919, 11564, 269, 2659, 12963, 1014, 267, 12665, 267, 16293, 267, 543, 1866, 945, 1416, 585, 707, 1126, 949, 2709, 454, 974, 548, 8234, 20499, 676, 6049, 267, 4787, 4286, 267, 8131, 11742, 267, 610, 1776, 7658, 8234, 4781, 269, 5851, 2861, 2978, 14405, 543, 10368, 9196, 4255, 949, 849, 581, 2139, 269, 1703, 616, 454, 339, 8962, 2139, 547, 948, 1453, 543, 15637, 945, 991, 6217, 610, 5075, 948, 7119, 538, 5691, 11564, 563, 1103, 16512, 20499, 269, 21480, 1416, 4058, 543, 1072, 11564, 543, 946, 7658, 8234, 950, 2877, 269, 4643, 585, 6099, 12557, 540, 538, 16512, 11564, 267, 1519, 25750, 267, 971, 607, 2038, 13393, 2053, 269, 3550, 2922, 6283, 3681, 585, 538, 16512, 20499, 267, 2523, 1346, 945, 7048, 593, 1857, 18302, 269, 11300, 267, 8465, 543, 17841, 22581, 666, 948, 2743, 707, 1126, 781, 2115, 585, 538, 16512, 11564, 563, 16605, 538, 16512, 6044, 519, 10862, 585, 3214, 609, 2027, 1072, 1416, 2115, 454, 11514, 4533, 687, 547, 538, 16512, 1153, 5540, 1565, 585, 1453, 609, 2027, 1072, 1416, 2115, 269, 769, 16512, 1153, 1058, 581, 519, 10862, 31251, 543, 2523, 585, 1453, 609, 2027, 1072, 1416, 2115, 563, 7312, 12963, 1014, 666, 960, 609, 596, 267, 519, 1153, 543, 1866, 538, 4058, 875, 547, 4225, 2922, 538, 16512, 6044, 269, 2659, 12963, 1014, 666, 948, 2491, 875, 3506, 666, 3136, 1210, 2789, 6106, 540, 4027, 267, 1832, 3950, 540, 2146, 6771, 3928, 267, 946, 4152, 267, 9633, 532, 267, 14910, 267, 543, 824, 7028, 547, 1832, 782, 3214, 1565, 538, 1268, 269, 1411, 666, 849, 2307, 707, 12963, 1014, 827, 2640, 543, 4220, 540, 538, 16512, 267, 5691, 543, 10659, 540, 1565, 563, 293, 7056, 625, 666, 1265, 1489, 827, 2069, 2152, 267, 1519, 594, 7968, 338, 543, 476, 27843, 12697, 267, 998, 454, 8001, 2866, 543, 1344, 7740, 269, 14268, 849, 666, 2689, 519, 454, 31714, 609, 24894, 4065, 2920, 630, 2839, 12788, 264, 4170, 269, 16316, 10311, 547, 707, 1126, 781, 594, 7968, 616, 2838, 7488, 540, 741, 1565, 610, 20343, 3898, 630, 341, 23709, 267, 10316, 267, 538, 16512, 1040, 2659, 1126, 610, 7141, 781, 594, 7968, 4566, 543, 3853, 666, 543, 1058, 581, 14661, 607, 2877, 269, 901, 2882, 1022, 2115, 585, 9104, 2218, 2069, 543, 2533, 1765, 16838, 952, 713, 4386, 811, 4749, 982, 2899, 513, 1032, 1107, 2523, 2094, 1082, 20241, 543, 2533, 941, 22314, 936, 519, 2250, 1079, 1296, 563, 8253, 1169, 1126, 610, 2937, 786, 2746, 538, 519, 1482, 1259, 547, 519, 2566, 540, 519, 6855, 267, 855, 621, 568, 2693, 602, 3025, 568, 32232, 538, 930, 1259, 269, 898, 568, 1271, 547, 4063, 602, 891, 4664, 543, 6547, 616, 2693, 7133, 1453, 609, 454, 322, 4321, 9124, 267, 607, 1134, 269, 13185, 547, 707, 12963, 1014, 827, 1022, 4145, 267, 4191, 267, 610, 2589, 1644, 547, 454, 293, 7056, 625, 267, 3237, 267, 543, 15637, 945, 1491, 1416, 540, 1453, 609, 2027, 1072, 1416, 2115, 616, 2178, 543, 454, 637, 559, 1304, 269, 1809, 547, 3136, 2921, 1416, 540, 707, 1920, 267, 596, 1590, 1118, 2386, 602, 596, 4497, 538, 1582, 13282, 2238, 676, 2921, 454, 5503, 585, 3054, 267, 1932, 563, 10666, 519, 4589, 454, 291, 12447, 2098, 269, 27173, 334, 267, 11022, 267, 631 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 7689, 281, 6348, 6874, 571, 6463, 19198, 593, 12624, 781, 4303, 692, 300, 1278, 781, 4303, 568, 513, 942, 950, 649, 1397, 7071, 585, 782, 602, 938, 11299, 798, 585, 721, 269, 1809, 1018, 827, 1346, 945, 1810, 1405, 723, 513, 2757, 3993, 4137, 538, 741, 2729, 286, 901, 3992, 7710, 1114, 2010, 540, 3885, 543, 875, 789, 8661, 713, 2027, 1554, 780, 15650, 540, 19198, 692, 2691, 596, 1589, 540, 513, 1920, 267, 596, 1522, 4952, 513, 3158, 267, 19033, 267, 543, 3214, 2713, 1927, 896, 835, 8122, 269, 1717, 267, 972, 616, 1082, 824, 5686, 540, 3885, 1932, 256, 2368, 1453, 2661, 609, 1175, 835, 2385, 267, 1247, 1866, 949, 723, 1079, 546, 6758, 610, 1079, 31908, 269, 1703, 616, 849, 22594, 9870, 741, 6264, 330, 1749, 267, 2582, 1004, 676, 3903, 267, 1071, 4725, 23550, 15185, 267, 543, 3885, 4646, 998, 10073, 610, 1121, 541, 5846, 269, 2353, 891, 1305, 5725, 616, 2808, 1875, 13652, 6463, 3885, 1317, 789, 8428, 689, 519, 6093, 6046, 1920, 2497, 780, 23895, 14896, 908, 12624, 781, 4303, 538, 6348, 6874, 571, 6463, 19198, 692, 9617, 899, 2757, 3885, 267, 1875, 13652, 6463, 3885, 1265, 2081, 547, 8956, 543, 5660, 519, 1271, 2021, 538, 741, 2729, 1282, 12624, 781, 4303, 269, 1280, 1383, 267, 952, 513, 1126, 2729, 609, 513, 2582, 4651, 267, 646, 1522, 1869, 1616, 547, 8661, 519, 9702, 676, 1818, 14254, 585, 1010, 19033, 610, 4758, 1864, 513, 29586, 3556, 269, 1403, 513, 1126, 814, 1079, 31908, 267, 789, 1223, 8661, 1312, 540, 873, 8449, 609, 13344, 267, 5810, 267, 610, 2298, 942, 6170, 1927, 780, 2690, 1346, 945, 723, 4503, 741, 11299, 267, 12624, 781, 4303, 666, 581, 3787, 1562, 11548, 269, 1358, 1522, 3442, 547, 3314, 741, 6068, 3283, 676, 9683, 741, 30401, 2572, 267, 3168, 693, 2025, 11147, 267, 610, 4687, 2984, 827, 873, 269, 11524, 949, 8661, 519, 2027, 2021, 538, 741, 2729, 945, 5749, 1405, 8209, 1973, 14077, 855, 1404, 1713, 5107, 971, 607, 3610, 267, 23003, 267, 610, 2828, 780, 1103, 930, 2665, 267, 1453, 538, 6536, 1416, 610, 1895, 5321, 949, 1745, 2451, 856, 593, 12624, 781, 4303, 2094, 789, 1810, 1405, 723, 513, 8628, 1753, 610, 6211, 3993, 547, 8661, 609, 269, 1452, 3214, 666, 1869, 7119, 538, 519, 7908, 8481, 676, 2870, 13492, 693, 1153, 610, 10283, 538, 2146, 2621, 6896, 4481, 585, 873, 780, 763, 11957, 540, 20504, 766, 692, 5591, 2339, 875, 513, 1920, 5654, 267, 621, 781, 1898, 547, 1174, 543, 2463, 1142, 1268, 781, 2189, 3510, 269, 898, 781, 2629, 547, 4001, 3214, 6568, 2509, 1866, 4171, 2833, 949, 8428, 689, 741, 1378, 269, 11559, 5717, 1472, 4763, 543, 13784, 865, 602, 1169, 2875, 7959, 12595, 543, 2938, 780, 12244, 22830, 281, 9839, 325, 3881, 11511, 725, 692, 2414, 16833, 909, 713, 3992, 267, 2015, 2348, 707, 1053, 1711, 2295, 11057, 1148, 4773, 6273, 676, 2199, 7376, 15168, 761, 13983, 557, 781, 4826, 10022, 269, 4841, 666, 946, 1585, 2326, 630, 335, 5593, 267, 12508, 267, 2458, 1137, 264, 547, 6813, 1018, 834, 26967, 257, 1797, 547, 873, 269, 18224, 891, 13144, 23217, 1472, 519, 4928, 607, 513, 12576, 602, 2648, 2501, 538, 1082, 3029, 543, 602, 3025, 19262, 547, 581, 9976, 593, 12624, 781, 4303, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 11266, 17876, 307, 31969, 661, 10135, 310, 7704, 772, 2529, 269, 18161, 4306, 17803, 13698, 2839, 590, 3198, 14192, 9680, 302, 267, 11404, 25783, 300, 3951, 12971, 269, 476, 279, 3374, 454, 15578, 681, 3198, 29558, 590, 3198, 14011, 30264, 21832, 306, 454, 7246, 32578, 654, 16787, 2464, 5442, 22400, 17252, 26996, 289, 3036, 9816, 7495, 454, 309, 5357, 269, 476, 1015, 267, 715, 271, 269, 476, 274, 454, 15037, 269, 476, 278, 267, 476, 1001, 275, 454, 295, 2214, 8558, 2921, 3800, 547, 8396, 519, 2770, 1635, 25414, 595, 698, 8403, 454, 305, 269, 23011, 18007, 324, 5664, 3427, 2875, 1323, 11672, 29885, 267, 1556, 267, 12662, 519, 18138, 18953, 593, 1200, 11247, 585, 519, 9839, 338, 585, 23046, 14266, 543, 25488, 547, 581, 4371, 693, 700, 9335, 20963, 3203, 4924, 269, 476, 280, 269, 3938, 17940, 6337, 454, 2304, 7376, 609, 513, 2295, 454, 3528, 28270, 2051, 9109, 454, 515, 960, 540, 9315, 858, 7376, 15168, 761, 13983, 557, 814, 1044, 1134, 9833, 2429, 519, 5842, 17630, 1858, 585, 811, 982, 2185, 5756, 267, 538, 1840, 547, 8391, 3486, 6284, 269, 2060, 513, 2027, 968, 3891, 11301, 585, 23046, 892, 21200, 543, 1148, 25488, 540, 1010, 1053, 685, 960, 547, 581, 4371, 593, 4924, 269, 476, 280, 267, 25926, 689, 13983, 557, 779, 4826, 10022, 786, 581, 593, 4159, 693, 700, 9335, 20963, 3203, 998, 5988, 476, 1001, 275, 269, 4340, 547, 835, 1148, 10404, 267, 13983, 557, 779, 4826, 10022, 568, 968, 20657, 3660, 569, 835, 540, 1010, 1034, 7184, 14719, 730, 543, 27763, 13753, 540, 6986, 7206, 538, 1010, 4876, 607, 606, 7376, 907, 5016, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 15239, 6874, 571, 6463, 19198, 593, 12624, 781, 4303, 257, 607, 851, 540, 834, 16300, 16337, 1315, 32733, 1299, 18270, 725, 1315, 12624, 781, 4303, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 1691, 281, 11206, 17905, 910, 27986, 3776, 8381, 1633, 654, 1180, 619, 692, 5970, 596, 2479, 3144, 513, 3802, 998, 513, 4104, 543, 14952, 539, 693, 519, 26009, 4054, 267, 10477, 2371, 267, 543, 4241, 7068, 602, 1289, 621, 1753, 286, 5983, 7370, 616, 6909, 8134, 4904, 609, 1272, 543, 4898, 256, 1809, 1705, 596, 917, 602, 7733, 849, 1683, 1271, 2200, 899, 3574, 267, 2973, 2011, 267, 543, 1216, 585, 1004, 782, 1472, 519, 1158, 286, 2334, 781, 1946, 621, 781, 1898, 547, 1174, 875, 547, 2149, 938, 10475, 7733, 543, 1832, 873, 2635, 585, 2104, 5481, 269, 2913, 781, 4685, 883, 519, 4241, 1158, 540, 4104, 14498, 2439, 272, 269, 1548, 568, 11206, 17905, 888, 10900, 21387, 20288, 560, 14498, 568, 519, 1353, 540, 875, 2713, 1919, 2170, 609, 1142, 824, 543, 741, 1604, 1369, 513, 4104, 5117, 269, 901, 2882, 3347, 1063, 2371, 267, 2831, 267, 13271, 267, 543, 14471, 267, 607, 1134, 607, 875, 789, 4096, 593, 519, 2168, 1604, 267, 971, 607, 3037, 267, 2916, 267, 543, 1216, 269, 1635, 4974, 4104, 14498, 267, 649, 666, 1732, 1174, 875, 547, 18359, 543, 4383, 7733, 30396, 780, 273, 269, 9537, 540, 5983, 7370, 15907, 519, 2622, 454, 5785, 21387, 2467, 616, 1585, 2010, 540, 7733, 1336, 2066, 519, 8608, 267, 1519, 9341, 31140, 267, 22465, 28301, 7733, 267, 16004, 531, 7733, 630, 10193, 1634, 607, 28580, 27004, 1070, 543, 11335, 7733, 269, 3962, 1826, 814, 2189, 4162, 1759, 593, 922, 4087, 267, 2916, 267, 543, 10664, 269, 1280, 1383, 267, 9341, 31140, 616, 3636, 543, 6632, 1032, 15778, 267, 1247, 16004, 531, 7733, 1995, 1279, 267, 4411, 24475, 543, 2110, 3395, 12405, 780, 274, 269, 4208, 3657, 5983, 7370, 12830, 888, 10900, 19030, 2162, 513, 269, 26335, 543, 26085, 692, 20288, 7370, 4196, 607, 5321, 585, 9118, 2249, 540, 2371, 543, 2831, 269, 1358, 2709, 1426, 267, 12062, 267, 543, 4025, 547, 16196, 269, 3509, 7103, 7048, 593, 1808, 4104, 2010, 585, 6668, 267, 1818, 9265, 5726, 4105, 780, 2162, 536, 269, 11162, 5794, 543, 4826, 692, 307, 4181, 10110, 3327, 8166, 543, 5305, 5135, 1282, 15591, 267, 5355, 2011, 2298, 269, 3958, 267, 7733, 6882, 543, 10038, 1216, 2095, 267, 4227, 11761, 543, 7303, 17160, 780, 2162, 524, 269, 7033, 828, 543, 6348, 6874, 574, 828, 15733, 692, 10144, 946, 7733, 585, 3574, 2472, 899, 29421, 267, 1957, 267, 543, 11647, 269, 5983, 7370, 849, 6556, 3407, 1875, 2389, 574, 828, 5370, 971, 607, 16392, 2371, 267, 15708, 267, 10808, 267, 543, 18682, 780, 275, 269, 21784, 338, 547, 11206, 23270, 338, 454, 10900, 19567, 19013, 267, 1480, 2238, 10460, 1713, 6937, 547, 4104, 1072, 543, 6617, 269, 667, 4078, 23667, 1813, 547, 19883, 267, 6683, 267, 20012, 267, 543, 5599, 30001, 9249, 543, 13847, 5318, 5666, 540, 6740, 3327, 8166, 883, 519, 5790, 269, 8693, 1689, 12615, 919, 2042, 676, 19249, 2837, 543, 13247, 3270, 267, 799, 949, 1291, 547, 26221, 267, 11641, 17061, 267, 543, 11642, 269, 744, 3164, 343, 680, 334, 2787, 540, 4104, 2200, 2417, 9714, 525, 891, 17866, 1949, 780, 276, 269, 7025, 5004, 543, 10466, 454, 14343, 13430, 2414, 2232, 891, 2591, 267, 7239, 1590, 9772, 2994, 6322, 693, 25137, 543, 5883, 7733, 19100, 269, 11153, 2645, 543, 4485, 2291, 547, 948, 3035, 713, 3804, 1384, 2162, 513, 269, 7025, 8177, 8178, 906, 630, 292, 296, 2026, 2020, 6524, 4358, 1022, 1788, 2693, 547, 1860, 519, 1604, 267, 24990, 2932, 661, 296, 2026, 547, 3589, 1761, 5222, 269, 9122, 593, 4681, 267, 789, 1020, 17846, 3800, 547, 7413, 2800, 269, 1280, 3236, 267, 952, 513, 4070, 2754, 6499, 547, 1628, 513, 4155, 998, 513, 4104, 267, 789, 1131, 2708, 875, 519, 4155, 1522, 7519, 7320, 5322, 543, 12189, 519, 5251, 269, 3973, 267, 789, 1223, 1374, 25310, 610, 13123, 547, 1450, 2831, 547, 3444, 9108, 780, 2162, 536, 269, 16424, 543, 3194, 692, 16676, 783, 5464, 543, 3621, 7634, 616, 2565, 585, 16326, 2242, 538, 4104, 1072, 543, 13057, 13261, 2359, 2853, 269, 12207, 3950, 3529, 2208, 267, 3662, 5095, 267, 12362, 2249, 3262, 267, 543, 2067, 18063, 899, 23967, 269, 20331, 609, 1239, 267, 3173, 2697, 3466, 267, 6218, 2359, 7145, 267, 543, 15974, 11941, 950, 2877, 780, 2162, 524, 269, 27561, 543, 17402, 692, 8139, 543, 4687, 1702, 827, 7733, 1404, 7533, 5107, 538, 5807, 1857, 1489, 585, 5726, 3646, 269, 22749, 267, 3506, 267, 27013, 267, 543, 2146, 2516, 12840, 547, 3132, 3872, 2326, 267, 10891, 2621, 267, 543, 4497, 2199, 7264, 538, 19642, 7341, 269, 14780, 2358, 4656, 2337, 11349, 5483, 3375, 6194, 3823, 7733, 543, 16877, 2043, 547, 1831, 15156, 585, 741, 11091, 780, 277, 269, 20985, 27557, 281, 5808, 2052, 6435, 888, 5785, 19567, 28406, 532, 7733, 3340, 7104, 2962, 689, 3309, 8639, 267, 1519, 6608, 267, 1875, 3766, 21194, 3906, 630, 7582, 11675, 1070, 3744, 267, 543, 1367, 4961, 269, 8625, 267, 891, 9988, 960, 2509, 1455, 3853, 998, 9086, 267, 3609, 1646, 267, 1382, 3785, 267, 2069, 11044, 267, 543, 15321, 3255, 269, 1635, 7535, 532, 2200, 543, 6791, 267, 3356, 2509, 3743, 4104, 19642, 5787, 919, 780, 2690, 1383, 267, 4952, 513, 1895, 540, 6131, 13538, 2324, 7258, 6288, 678, 13377, 547, 11177, 513, 8697, 1858, 540, 4104, 269, 2060, 5583, 689, 4966, 267, 789, 2030, 5065, 3529, 19155, 267, 4894, 12362, 2249, 267, 543, 6895, 6051, 936, 942, 269, 3414, 3946, 6823, 2833, 267, 5171, 2744, 7071, 585, 2470, 543, 3565, 9797, 547, 741, 2950, 780, 278, 269, 10390, 454, 1366, 19030, 3528, 3695, 4104, 14498, 267, 649, 10625, 519, 6946, 4296, 1851, 2713, 7919, 543, 741, 10450, 269, 4197, 891, 1950, 3347, 2636, 721, 547, 5660, 519, 2956, 540, 7733, 543, 1491, 3268, 547, 16102, 873, 269, 1306, 15826, 12403, 1841, 267, 1577, 781, 3479, 6000, 547, 1565, 811, 827, 7733, 543, 5009, 741, 4264, 2359, 269, 2991, 782, 267, 938, 3527, 2221, 3313, 1018, 2186, 540, 1158, 19179, 1080, 14182, 781, 7045, 3464, 538, 519, 18137, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 5475, 11264, 713, 3184, 267, 596, 786, 581, 2111, 547, 912, 268, 20895, 519, 1184, 540, 606, 2825, 1764, 4879, 267, 543, 4766, 1896, 8225, 1806, 563, 268, 9181, 875, 5464, 543, 1382, 616, 2556, 547, 1620, 519, 3123, 543, 4539, 540, 2825, 3441, 563, 268, 11512, 875, 2825, 8989, 543, 7924, 616, 2629, 547, 7231, 609, 519, 2825, 6433, 563, 268, 20895, 519, 5107, 540, 6608, 267, 1875, 3766, 21194, 3906, 267, 3744, 267, 543, 4961, 538, 8888, 543, 7598, 606, 3235, 10999, 4264, 4346, 563, 763, 3105, 2694, 540, 713, 1433, 4847, 721 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 14021, 5969, 12967, 4066, 799, 3444, 1082, 10459, 267, 971, 607, 6482, 2029, 267, 19202, 2029, 267, 2780, 2029, 267, 1344, 4393, 2029, 267, 2890, 19491, 16361, 267, 25852, 267, 1035, 24065, 923, 267, 8856, 12227, 267, 536, 542, 923, 267, 1570, 2257, 543, 865, 593, 269, 11576, 832, 723, 1044, 4922, 1031, 538, 23825, 267, 18229, 267, 3084, 8878, 3621, 1382, 267, 1344, 2872, 267, 12227, 267, 1379, 267, 1648, 267, 6283, 267, 12669, 21395, 267, 19386, 267, 4070, 267, 2022, 543, 26313, 267, 7350, 267, 4915, 267, 2825, 4027, 267, 2326, 267, 9568, 12605, 543, 6604, 267, 6683, 543, 26216, 267, 13278, 344, 2504, 267, 1426, 267, 10269, 543, 9174, 5663, 267, 12227, 267, 7622, 14233, 543, 1082, 824, 4610, 267, 799, 666, 581, 1767, 547, 23309, 3592, 1169, 2361, 269, 901, 2376, 24865, 689, 2098, 564, 1014, 15392, 2353, 2924, 11603, 269, 7490, 1832, 519, 2707, 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 ]
[ 22477, 16836, 2060, 7248, 762, 8549, 543, 3557, 8466, 543, 7025, 11621, 543, 13565, 20070, 9417, 633, 28057, 563, 763, 6019, 540, 11968, 13353, 267, 29594, 550, 454, 7072, 543, 12700, 623, 1068, 5799, 547, 2353, 15486, 540, 589, 2388, 454, 272, 269, 769, 519, 2013, 693, 3046, 267, 24769, 22477, 16836, 7330, 267, 5549, 269, 12462, 290, 3497, 14615, 814, 8704, 513, 15393, 267, 5083, 340, 656, 547, 18983, 527, 267, 543, 2663, 513, 2789, 3483, 26313, 19215, 267, 1510, 18983, 527, 267, 855, 609, 513, 2098, 11238, 1230, 18504, 5623, 14648, 676, 519, 13360, 338, 6498, 540, 519, 7040, 547, 1450, 19215, 4070, 540, 513, 12616, 9744, 538, 519, 4395, 540, 8891, 819, 518, 779, 1753, 693, 1496, 1042, 716, 539, 3910, 1369, 519, 6019, 540, 11968, 13353, 269, 634, 5207, 3804, 540, 713, 27779, 568, 519, 8851, 540, 519, 12616, 9744, 8704, 676, 22477, 267, 543, 635, 701, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 9303, 7595, 27264, 18103, 514, 1734, 257, 607, 851, 540, 834, 30311, 1315, 8092, 2422, 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, 14297, 2749, 1572, 5507, 267, 972, 5030, 513, 8049, 2370, 6539, 1084, 3957, 1733, 7416, 619, 269, 1733, 7416, 619, 6068, 3695, 1010, 8378, 267, 855, 646, 1185, 2760, 1044, 2484, 689, 1753, 269, 2290, 1554, 267, 1247, 29595, 2282, 519, 5757, 774, 1868, 267, 646, 16686, 2390, 513, 12357, 7450, 11251, 1369, 835, 540, 519, 1390, 6149, 6821, 269, 898, 1185, 513, 1129, 602, 1224, 1412, 19061, 717, 9790, 7921, 7732, 9538, 2271, 29098, 267, 1733, 7416, 619, 4956, 547, 14679, 3330, 780, 2026, 4166, 607, 646, 9411, 267, 646, 4362, 1945, 9058, 910, 513, 7708, 557, 4904, 609, 2984, 1305, 538, 1585, 2694, 540, 519, 1158, 256, 7324, 873, 267, 8941, 540, 7045, 3576, 1747, 1318, 538, 1010, 11537, 554, 32528, 267, 10023, 4583, 21056, 899, 519, 18975, 15167, 267, 21207, 532, 5069, 20066, 267, 543, 519, 3703, 7467, 269, 3962, 2985, 4371, 1007, 11580, 7996, 547, 581, 20114, 780, 2662, 7416, 619, 4718, 5961, 540, 3425, 2542, 2835, 630, 3286, 899, 596, 14386, 1210, 741, 4064, 547, 10110, 1913, 2854, 593, 3817, 269, 1261, 9289, 875, 789, 7307, 971, 513, 9028, 950, 646, 17388, 1256, 547, 10627, 513, 3440, 2066, 519, 4055, 269, 2060, 7279, 533, 31985, 267, 646, 14059, 1079, 1762, 6690, 32348, 3168, 693, 513, 1433, 1927, 269, 1358, 8068, 1864, 543, 17254, 326, 1194, 780, 3080, 8004, 1767, 267, 834, 15916, 267, 2370, 6539, 1399, 256, 1684, 596, 1616, 547, 1294, 1018, 649, 2811, 2542, 8119, 2701, 8118, 519, 1433, 2647, 865, 1733, 7416, 619, 1223, 32708, 269, 8625, 267, 789, 5828, 519, 3817, 7444, 267, 15738, 856, 10477, 12383, 540, 1004, 11981, 2933, 1472, 1114, 2127, 538, 5507, 780, 257, 16100, 1934, 10590, 26866, 1229, 519, 2034, 8004, 31113, 269, 834, 1607, 568, 8262, 5484, 282, 621, 6645, 721, 950, 621, 781, 942, 585, 12899, 610, 5127, 1701, 1306, 1352, 12038, 267, 1352, 13147, 17673, 519, 3280, 540, 669, 1307, 30366, 998, 519, 2011, 269, 1733, 7416, 619, 19557, 5702, 267, 3843, 2182, 547, 1174, 780, 3891, 803, 15735, 28663, 267, 6998, 267, 834, 1692, 666, 1346, 7436, 2995, 596, 1919, 286, 2052, 594, 2119, 1932, 8119, 20167, 1078, 676, 1010, 1719, 267, 519, 6690, 11461, 1010, 6263, 30392, 9900, 5196, 519, 2985, 269, 1677, 1733, 7416, 619, 262, 9983, 267, 519, 5022, 4012, 1227, 9927, 883, 2592, 540, 3165, 267, 5017, 267, 8983, 1862, 718, 12204, 540, 7068, 1175, 899, 1864, 2439, 5804, 1287, 593, 267, 8164, 1733, 7416, 619, 10272, 519, 5399, 267, 519, 7172, 4115, 1131, 948, 1864, 2263, 811, 827, 5507, 543, 922, 4190, 24738, 269, 17652, 2614, 267, 646, 4121, 827, 16782, 3564, 9345, 1765, 9248, 941, 8197, 9589, 9885, 2921, 3988, 9170, 789, 24714, 2439, 3383, 3314, 632, 11732, 5467, 267, 2436, 596, 1265, 3054, 11303, 676, 26009, 5656, 610, 18241, 562, 23697, 267, 1169, 7944, 6585, 513, 5728, 7996, 547, 4652, 14766, 269, 3807, 899, 1733, 7416, 619, 267, 1577, 707, 7279, 3391, 596, 267, 9784, 1565, 267, 543, 10027, 880, 1142, 6602, 269, 8414, 12599, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 320, 14951, 2389, 17311, 540, 3332, 454, 30036, 5501, 1336, 6456, 609, 1100, 2963, 540, 9562, 454, 21270, 4629, 310, 10345, 519, 3135, 585, 824, 1568, 676, 713, 2278, 454, 263, 663, 938, 824, 4589, 264, 610, 1205, 670, 5085, 303, 7335, 267, 8281, 532, 543, 20593, 1154, 6119, 994, 10345, 24086, 519, 3003, 3135, 609, 5616, 13505, 9612, 454, 17138, 281, 634, 674, 622, 540, 2494, 8191, 281, 670, 14371, 269, 28243, 2608, 589, 5741, 717, 9790, 6199, 540, 5245, 26496, 2608, 26496, 3143, 12727, 476, 9873, 3607, 273, 272, 327, 11258, 5678, 281, 2296, 11261, 1101, 11540, 281, 9947, 476, 1001, 274, 4107, 2487, 9337, 281, 9947, 476, 1001, 274, 901, 26496, 729, 3812, 676, 20858, 3794, 1662, 534, 269, 5741, 717, 9790, 6199, 540, 5245, 552, 20486, 616, 2813, 689, 9102, 21820, 799, 616, 538, 519, 1857, 6389, 538, 5245, 267, 8259, 513, 10677, 5469, 568, 3769, 269, 1284, 798, 10691, 1832, 1022, 552, 20486, 538, 10220, 609, 513, 1880, 1957, 7160, 269, 14645, 4031, 616, 4657, 782, 936, 519, 1158, 269, 2142, 2386, 547, 2638, 519, 10677, 4031, 585, 707, 2197, 1354, 23842, 610, 23799, 1026, 5024, 713, 3758, 269, 901, 26496, 568, 1500, 2139, 693, 1100, 1942, 543, 609, 3592, 1100, 9993, 31049, 269, 1411, 949, 5299, 621, 267, 2285, 621, 2476, 610, 556, 14025, 621, 896, 519, 1768, 6231, 2237, 513, 1453, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 26780, 8092, 12201, 257, 607, 851, 540, 834, 307, 30728, 1315, 2342, 1315, 4279, 6628, 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, 1012, 11638, 984, 11187, 12472, 776, 27122, 692, 25648, 984, 11187, 11938, 568, 513, 2361, 540, 11938, 602, 9388, 609, 2042, 5473, 811, 982, 835, 6662, 1599, 547, 581, 20979, 8195, 269, 769, 824, 1913, 267, 3818, 984, 11187, 11938, 2042, 616, 1346, 2042, 602, 723, 2789, 6859, 602, 991, 547, 581, 20979, 269, 1452, 6859, 616, 1419, 20849, 267, 2495, 602, 17306, 835, 6662, 949, 1291, 547, 513, 12159, 538, 519, 2773, 540, 1776, 6662, 780, 3080, 2442, 1935, 547, 6061, 3818, 984, 11187, 11938, 2042, 568, 519, 946, 540, 12105, 6620, 630, 292, 2026, 1040, 661, 2026, 616, 513, 1362, 540, 11938, 6620, 6273, 676, 519, 1184, 540, 2067, 4720, 269, 1358, 960, 676, 12055, 8271, 5355, 513, 2551, 540, 11134, 3435, 1210, 4238, 971, 607, 15817, 267, 31832, 20108, 267, 543, 5542, 780, 1103, 713, 1837, 267, 649, 786, 2263, 513, 2241, 3818, 984, 11187, 4528, 540, 606, 12105, 5690, 269, 1284, 786, 946, 519, 11885, 5399, 585, 10230, 26398, 543, 21267, 585, 14839, 269, 1403, 596, 1810, 1405, 723, 891, 8021, 8704, 267, 596, 666, 3888, 873, 1210, 10398, 1384, 8199, 26921, 3888, 11885, 21267, 454, 7884, 4131, 781, 1376, 676, 1104, 532, 519, 2556, 8021, 1384, 3499, 7090, 454, 5814, 11885, 607, 5286, 454, 5814, 21267, 28272, 607, 12301, 454, 7884, 2162, 9046, 9502, 692, 2171, 786, 2015, 513, 2241, 3818, 984, 11187, 11938, 1966, 609, 1079, 6859, 1384, 16465, 17961, 9387, 265, 8679, 325, 318, 272, 3287, 264, 17851, 1535, 317, 273, 8607, 454, 325, 318, 273, 3287, 264, 17851, 630, 343, 910, 476, 273, 8203, 273, 454, 17910, 9387, 265, 8679, 9681, 5978, 3804, 568, 547, 1265, 519, 1305, 540, 3435, 602, 616, 623, 732, 1729, 6099, 267, 1775, 4318, 1421, 1346, 3435, 585, 799, 1100, 824, 3070, 568, 1732, 538, 782, 6859, 780, 2162, 12472, 776, 23990, 692, 763, 12105, 5690, 649, 786, 946, 568, 513, 2241, 835, 269, 898, 6238, 609, 606, 3355, 2551, 540, 11134, 3435, 267, 27786, 741, 8516, 630, 328, 4318, 1421, 6662, 1599, 2418, 1070, 543, 1287, 12055, 8271, 10607, 519, 2551, 1210, 15817, 543, 5542, 4238, 780, 2971, 19461, 15510, 692, 763, 3355, 2551, 568, 513, 1305, 540, 14477, 6383, 11134, 3435, 269, 769, 938, 2013, 267, 649, 786, 5352, 513, 2551, 540, 1269, 331, 259, 11134, 3435, 267, 1142, 609, 1269, 323, 259, 7516, 269, 634, 11134, 3435, 616, 6383, 1210, 519, 11885, 1599, 2387, 12639, 20179, 26509, 6134, 12452, 799, 12958, 4351, 2338, 689, 513, 7833, 3892, 1063, 1079, 2418, 630, 514, 938, 2013, 267, 519, 2539, 543, 5580, 23451, 540, 519, 1966, 6393, 3499, 7090, 454, 12639, 20179, 269, 23092, 263, 273, 264, 476, 1948, 585, 10063, 322, 2225, 692, 258, 4351, 3355, 2551, 630, 331, 1535, 546, 5119, 994, 331, 815, 476, 1911, 476, 1948, 2551, 2450, 454, 323, 815, 476, 272, 476, 1948, 1297, 540, 7516, 454, 331, 321, 815, 910, 1015, 476, 1948, 2539, 3808, 454, 889, 815, 476, 1015, 476, 1948, 5580, 3808, 454, 303, 815, 5286, 20179, 26509, 6134, 10857, 321, 267, 18451, 267, 630, 331, 28504, 4917, 7884, 2971, 16214, 692, 763, 8516, 540, 1142, 11134, 3070, 568, 11117, 1210, 519, 6662, 3252, 269, 769, 938, 2013, 267, 649, 723, 1079, 6662, 3252, 267, 865, 519, 8516, 540, 1142, 11134, 3070, 568, 513, 6152, 540, 1079, 2418, 269, 1284, 4558, 519, 8516, 2418, 538, 513, 5119, 2387, 325, 319, 540, 2450, 1269, 331, 1422, 9392, 476, 273, 16859, 3499, 7090, 454, 3698, 1250, 20123, 328, 272, 3287, 2187, 476, 2132, 5286, 15126, 8443, 343, 1262, 273, 267, 630, 343, 910, 476, 273, 264, 1262, 273, 20285, 325, 815, 5286, 25910, 9230, 331, 267, 273, 4297, 476, 1948, 649, 3513, 6218, 873, 2663, 692, 258, 6218, 782, 3435, 538, 519, 2551, 454, 1721, 1775, 21726, 538, 26246, 27456, 2187, 476, 535, 5157, 267, 281, 316, 815, 1250, 20123, 328, 272, 3287, 994, 7884, 2971, 25201, 692, 1103, 3818, 984, 11187, 11938, 267, 649, 616, 5461, 538, 4466, 519, 1305, 540, 623, 732, 1729, 6099, 3435, 269, 1677, 1832, 3950, 540, 519, 623, 732, 1729, 6099, 3435, 1336, 865, 2484, 267, 649, 946, 606, 21287, 269, 634, 21287, 568, 513, 1305, 540, 3435, 602, 616, 562, 1180, 558, 3990, 267, 1775, 4318, 1421, 1100, 824, 3070, 568, 1732, 538, 782, 6859, 780, 763, 21287, 568, 3355, 1242, 609, 1079, 1500, 5346, 3435, 609, 1360, 1164, 6662, 1599, 2418, 269, 1452, 3435, 786, 581, 8719, 676, 1732, 3435, 1336, 1282, 519, 11938, 1184, 780, 3499, 7090, 454, 258, 21287, 6238, 609, 476, 273, 3983, 1500, 5346, 3435, 454, 288, 815, 5286, 25910, 318, 3697, 27456, 314, 271, 281, 273, 267, 281, 7481, 325, 288, 815, 476, 1015, 1262, 1015, 265, 12639, 269, 2158, 318, 3697, 6600, 314, 271, 281, 273, 267, 281, 7481, 7884, 763, 21287, 568, 8242, 1210, 513, 1599, 2387, 1105, 633, 5334, 677, 12452, 799, 3217, 607, 3403, 519, 1699, 21287, 267, 519, 1007, 3435, 267, 543, 741, 6662, 1599, 2418, 267, 543, 7024, 519, 8242, 21287, 780, 3499, 7090, 454, 3698, 21287, 5334, 677, 10490, 267, 535, 288, 267, 623, 267, 535, 2187, 476, 1003, 5334, 30055, 815, 589, 17482, 314, 271, 2639, 476, 1832, 815, 5286, 25910, 16325, 5334, 30055, 267, 546, 6943, 284, 321, 944, 2020, 476, 1948, 1832, 3435, 602, 616, 562, 1180, 558, 3990, 454, 476, 585, 1775, 538, 2039, 16325, 5334, 30055, 2187, 825, 1832, 5157, 316, 815, 5286, 269, 718, 18828, 269, 1415, 6600, 288, 13843, 535, 288, 5157, 3910, 7852, 284, 272, 11723, 476, 2132, 630, 288, 314, 18141, 3910, 535, 288, 314, 18141, 7481, 7884, 763, 2387, 1105, 633, 5334 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1604, 267, 543, 2623, 568, 2565, 950, 5466, 2152, 4478, 2635, 10172, 780, 24357, 8344, 15448, 23105, 609, 28544, 692, 2026, 5892, 5018, 267, 10172, 3322, 3875, 12214, 19260, 17364, 782, 1418, 1949, 269, 12729, 10689, 12201, 540, 10172, 1331, 22308, 16132, 267, 22007, 558, 699, 1140, 761, 542, 267, 27981, 2045, 19260, 267, 24197, 14524, 267, 10408, 6845, 525, 12412, 267, 632, 29970, 8770, 15392, 267, 6565, 1591, 25874, 267, 12012, 954, 14978, 2792, 267, 543, 15176, 2926, 23980, 630, 299, 6759, 19649, 14114, 339, 27713, 1696, 620, 1421, 476, 1001, 274, 1040, 11814, 1947, 267, 891, 3157, 1267, 538, 21022, 5160, 20344, 4390, 267, 4389, 4761, 1599, 267, 543, 15398, 6553, 1765, 718, 7700, 547, 519, 1646, 540, 2085, 5829, 4713, 269, 5015, 267, 1382, 5267, 602, 1978, 8219, 8858, 811, 14733, 6198, 7771, 982, 1866, 1282, 519, 10172, 1184, 269, 1280, 3236, 267, 20258, 4887, 2527, 3335, 11081, 676, 5111, 476, 274, 268, 279, 260, 829, 8717, 1310, 519, 2085, 540, 476, 1789, 267, 799, 5787, 919, 1739, 22797, 538, 2021, 630, 29409, 2917, 1696, 620, 1421, 476, 1001, 275, 1040, 6684, 267, 9025, 267, 7929, 267, 17669, 267, 646, 31154, 267, 16063, 267, 25012, 267, 543, 8401, 1062, 3252, 849, 14016, 622, 609, 14027, 2085, 630, 19913, 29195, 1299, 654, 518, 1676, 267, 476, 1001, 276, 1040, 9182, 267, 3782, 7426, 1590, 2272, 585, 891, 12214, 2242, 950, 5883, 4587, 2937, 2550, 609, 5312, 2564, 2175, 780, 20329, 22181, 11790, 543, 5900, 6421, 27870, 28544, 692, 19741, 6071, 7350, 267, 1514, 543, 5626, 3344, 25340, 1764, 519, 10172, 1995, 269, 17502, 1470, 655, 10899, 2824, 2032, 3069, 29102, 602, 607, 2043, 2085, 267, 789, 5051, 4225, 14156, 6209, 3853, 1813, 547, 9228, 942, 10148, 630, 10111, 560, 27255, 267, 21469, 578, 6308, 267, 1299, 8176, 267, 476, 1960, 280, 1040, 3958, 267, 2085, 11475, 723, 1044, 3254, 547, 1860, 5042, 2773, 998, 1582, 268, 995, 325, 3739, 28897, 6127, 630, 299, 5271, 344, 267, 476, 1220, 280, 1070, 10223, 519, 2956, 540, 14237, 2318, 8456, 4724, 10172, 269, 11569, 267, 1896, 2090, 6542, 12205, 1063, 15028, 5784, 540, 10172, 543, 1732, 2790, 543, 2168, 1072, 4093, 630, 310, 6856, 327, 1993, 1696, 620, 1421, 476, 1001, 275, 1040, 5047, 267, 1382, 6920, 602, 8456, 4724, 10172, 666, 581, 9168, 3842, 6098, 7459, 267, 11021, 1761, 18817, 585, 5009, 3811, 10172, 630, 295, 612, 267, 966, 1601, 267, 1299, 2806, 2449, 267, 476, 1001, 279, 6393, 10890, 17520, 543, 8447, 9577, 532, 7324, 24771, 20661, 692, 1103, 1769, 540, 3395, 2963, 5885, 519, 4644, 540, 26447, 2188, 538, 5935, 1072, 24551, 267, 3173, 723, 13175, 3695, 6402, 1063, 1072, 4160, 543, 2168, 8647, 1851, 4587, 4079, 269, 2657, 4160, 4016, 547, 7050, 5855, 827, 2348, 610, 16565, 3978, 10108, 5103, 8766, 6662, 4191, 610, 2589, 630, 13563, 5369, 12278, 5948, 267, 476, 1001, 274, 1040, 898, 8843, 10486, 609, 3834, 13578, 686, 12118, 267, 1474, 26494, 4524, 267, 543, 4576, 4160, 4524, 855, 15320, 538, 10368, 7355, 543, 4791, 6881, 269, 25408, 267, 1164, 2157, 540, 1072, 4160, 949, 11874, 1764, 2298, 540, 1272, 267, 2126, 15984, 267, 543, 3782, 13345, 3270, 630, 305, 3971, 1299, 9410, 267, 476, 1001, 275, 1040, 4935, 267, 7114, 1110, 16666, 30661, 540, 1072, 4160, 4564, 606, 1271, 1858, 540, 7634, 780, 13434, 760, 20934, 12186, 9737, 2657, 17520, 543, 8447, 9577, 532, 692, 28770, 3101, 1382, 7028, 19915, 27399, 3347, 1063, 1072, 4160, 543, 2168, 8647, 538, 2663, 1272, 269, 13018, 267, 4057, 2168, 1072, 814, 1044, 1336, 547, 2333, 18687, 547, 3384, 1072, 4160, 267, 1247, 11506, 1072, 4160, 666, 22652, 4540, 2168, 9124, 543, 17225, 6051, 3646, 630, 22517, 601, 523, 1299, 1234, 6359, 660, 329, 525, 267, 476, 1220, 280, 1040, 1717, 267, 1906, 2090, 723, 11567, 5817, 6127, 7713, 891, 23483, 2360, 269, 2290, 2009, 7778, 25701, 547, 8456, 4724, 10172, 267, 799, 1223, 5732, 9793, 610, 1199, 5573, 4767, 12205, 780, 300, 27467, 10020, 540, 5900, 6421, 19331, 731, 28544, 692, 16920, 6421, 4724, 10172, 7854, 3309, 7516, 10452, 8795, 5380, 593, 3735, 3734, 2833, 269, 5871, 21437, 1331, 5626, 2530, 630, 324, 3052, 1421, 3965, 7771, 1070, 5626, 2208, 630, 324, 3052, 1421, 7326, 11601, 1070, 543, 2168, 1689, 630, 324, 3052, 1421, 5920, 12381, 1040, 4340, 547, 8739, 655, 10899, 2824, 2032, 3069, 267, 4587, 4079, 945, 9784, 12374, 2404, 609, 10172, 630, 324, 3052, 1421, 3929, 17381, 264, 1522, 4159, 2539, 1072, 4160, 2157, 1256, 950, 21947, 609, 1713, 2168, 2591, 269, 1635, 4334, 267, 1346, 10771, 9271, 949, 8858, 2362, 1072, 4160, 1813, 547, 21472, 12496, 540, 5634, 15629, 17915, 610, 2242, 269, 2506, 2869, 673, 1489, 6818, 585, 1312, 19165, 267, 25967, 1681, 519, 991, 585, 2417, 6514, 540, 1140, 15994, 7506, 593, 1072, 4160, 1369, 519, 2796, 540, 2168, 8647, 780, 19138, 11137, 692, 2414, 2232, 10616, 538, 1702, 7282, 519, 5107, 5129, 676, 8456, 4724, 10172, 538, 15645, 908, 610, 1199, 11868, 1894, 1063, 1072, 4160, 543, 2168, 8647, 267, 4515, 269, 661, 327, 644, 26636, 1676, 5342, 513, 19976, 7634, 5473, 476, 26297, 2146, 1673, 16946, 4587, 4079, 609, 5312, 2564, 2175, 269, 19893, 6192, 1079, 15146, 11042, 9674, 676, 3670, 3275, 267, 3246, 4282, 1344, 267, 10526, 540, 1072, 4160, 267, 2168, 8647, 267, 543, 8456, 4724, 10172, 693, 15977, 543, 1246, 5346, 269, 11778, 8612, 602, 8456, 4724, 10172, 6039, 607, 513, 9864, 18657, 1807, 9013, 585, 3355, 2418, 267, 609, 2942, 630, 8117, 711, 2318, 264, 8456, 547, 10172, 1199, 11868, 519, 7681, 1063, 8338, 2168, 8647, 693, 15977, 543, 2799, 1072, 32370, 693, 1246, 5346, 269, 21452, 267, 9258, 13796, 15971, 1705, 711, 6556, 19250, 1713, 2164, 267, 10834, 1100, 21465, 3095, 689, 3355, 1072, 4160, 2157, 547, 7766, 2168, 8647, 23229, 780, 3412, 4124, 585, 6657, 692, 8340, 902, 689, 713, 1353, 2303, 602, 5807, 2318, 8456, 4724, 10172, 949, 948, 2569, 1072, 4160, 1851, 4587, 4079, 7680, 2168, 7687, 1813, 547, 5312, 2564, 2175, 269, 9717, 602, 8456, 666, 581, 6766, 998, 3872, 3292, 267, 13508, 7459, 267, 610, 9263, 1489, 5121, 267, 3782, 4648, 1058, 2015, 6220, 971, 2994, 883, 741, 6296, 1416, 2853, 269, 3958, 267, 13389, 1808, 18125, 540, 8456, 4724, 10172, 630, 324, 3052, 1421, 10893, 1445, 593, 5626, 9271, 264, 949, 6961, 6225, 538, 993, 601, 1640, 908, 17672, 4539, 540, 1072, 4160, 269, 7053, 267, 2016, 519, 19915, 3925, 1275, 540, 1894, 1063, 1072, 4160, 543, 2168, 8647, 267, 2038, 7020, 543, 6304, 3646, 6322, 693, 5355, 2168, 5759, 949, 2061, 19654, 4679, 538, 1072, 4160, 780, 6962, 692, 1607, 3184, 3177, 606, 538, 3829, 2079, 540, 519, 10172, 1184, 267, 1519, 2404, 12214, 2242, 543, 26447, 2188, 269, 14301, 2390, 12170, 1239, 6508, 689, 4515, 269, 661, 327, 644, 26636, 1676, 781, 14262, 1353, 267, 649, 19286, 730, 519, 18657, 1049, 1909, 540, 8456, 4724, 10172, 538, 519, 23483, 2078, 1063, 1072, 4160, 543, 2168, 8647, 1851, 4587, 4079, 609, 5312, 2564, 2175, 269, 25021, 4464, 267, 3606, 1382, 568, 2877, 547, 12172, 6099, 2409, 585, 22212, 8456, 4724, 10172, 543, 10442, 1279, 3856, 5222, 593, 1072, 4160, 5786, 543, 2949, 8171, 13319, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 30267, 661, 327, 644, 26636, 1676, 454, 29020, 281, 1677, 1174, 952, 8456, 547, 10172, 1199, 5573, 519, 23483, 2360, 540, 1072, 4160, 543, 2168, 8647, 1851, 4587, 4079, 609, 2564, 2175, 269, 1284, 8947, 281, 630, 272, 264, 952, 891, 2360, 616, 23483, 282, 630, 273, 264, 952, 8456, 547, 10172, 630, 17595, 1670, 2530, 267, 5626, 2208, 267, 2168, 1689, 264, 1404, 513, 1199, 11868, 1909, 538, 891, 2360, 563, 17637, 281, 589, 3732, 540, 476, 26297, 2146, 1673, 16946, 4587, 4079, 630, 307, 272, 2085, 2039, 815, 476, 4792, 268, 11463, 267, 1611, 2085, 815, 476, 10463, 269, 6795, 267, 12676, 815, 476, 277, 269, 3066, 264, 8989, 693, 2547, 835, 5312, 2564, 2783, 6192, 1079, 6049, 11042, 2066, 3670, 3275, 563, 14611, 6364, 3800, 281, 17461, 3800, 267, 1072, 4160, 267, 2168, 8647, 267, 543, 8456, 547, 10172, 693, 570, 272, 543, 570, 273, 563, 24342, 281, 570, 273, 8456, 547, 10172, 6039, 607, 513, 18657, 1807, 9013, 585, 570, 272, 8456, 269, 1703, 729, 513, 1463, 1198, 540, 8338, 2168, 8647, 693, 570, 272, 593, 2799, 1072, 32370, 693, 570, 273, 269, 20134, 630, 8117, 711, 2318, 264, 8456, 547, 10172, 25358, 602, 1198, 269, 634, 20328, 13796, 15971, 630, 307, 272, 1072, 4160, 3056, 547, 570, 273, 11110, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 288, 3101, 6713, 257, 607, 851, 540, 834, 25503, 1315, 16711, 1315, 15168, 26585, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 7170, 281, 589, 6490, 22789, 17714, 547, 519, 2051, 657, 572, 636, 692, 20756, 3025, 256, 594, 1175, 3893, 1394, 689, 606, 20605, 7552, 547, 7507, 267, 543, 594, 4941, 547, 2671, 1250, 1995, 3478, 547, 519, 11599, 2051, 657, 572, 636, 1317, 621, 5828, 856, 547, 581, 3833, 519, 7045, 780, 296, 4553, 519, 5528, 3177, 1934, 827, 875, 547, 3914, 519, 2051, 657, 572, 636, 910, 676, 1558, 549, 267, 1668, 267, 6972, 267, 610, 2921, 513, 3454, 328, 270, 8364, 269, 594, 4956, 593, 1210, 1857, 6283, 2094, 594, 4862, 621, 781, 14949, 543, 3947, 596, 811, 3255, 547, 2263, 519, 2749, 899, 513, 2199, 269, 1924, 972, 594, 729, 267, 7555, 538, 4395, 540, 12910, 7236, 13749, 267, 10992, 5616, 21476, 585, 519, 1655, 1259, 547, 1491, 519, 5450, 549, 7412, 645, 630, 1492, 4544, 1899, 6393, 2026, 594, 26731, 883, 519, 1016, 3118, 1062, 267, 3388, 8604, 3339, 2394, 10393, 282, 14784, 30192, 256, 589, 1895, 540, 12372, 3323, 4730, 2757, 7969, 26107, 1247, 15915, 16802, 883, 21245, 15472, 267, 2870, 513, 18512, 5790, 269, 2311, 1101, 267, 594, 2219, 621, 729, 930, 2186, 540, 8755, 4254, 267, 855, 1287, 7691, 789, 941, 4890, 8265, 22407, 945, 1185, 4604, 539, 938, 5721, 269, 901, 791, 668, 696, 340, 13447, 1500, 803, 7340, 782, 827, 1373, 11895, 543, 1256, 1500, 803, 4413, 1250, 3247, 256, 1809, 30971, 267, 945, 1223, 29153, 950, 11303, 676, 865, 1454, 7772, 543, 2528, 2496, 5629, 594, 7307, 547, 6330, 998, 519, 15624, 543, 6368, 7153, 689, 519, 5450, 549, 693, 519, 2051, 657, 572, 334, 3247, 267, 1250, 2295, 521, 1678, 1107, 594, 7948, 1405, 1294, 519, 23836, 2497, 9170, 256, 7754, 10107, 5594, 267, 594, 4280, 1472, 1152, 547, 3605, 602, 1813, 547, 4070, 960, 267, 21934, 13783, 29572, 539, 1034, 5784, 540, 519, 2051, 657, 572, 636, 269, 3733, 1279, 268, 656, 4602, 730, 4090, 540, 7487, 519, 3504, 16822, 30965, 831, 585, 519, 1101, 942, 5433, 8297, 1441, 780, 3719, 7227, 267, 972, 781, 811, 256, 1306, 594, 15336, 2509, 1141, 519, 2051, 657, 572, 636, 1058, 723, 1044, 267, 1945, 6909, 5949, 269, 27933, 560, 519, 7452, 543, 6846, 540, 4070, 267, 513, 1507, 3296, 540, 519, 11064, 8118, 909, 13713, 267, 13031, 519, 6264, 16725, 540, 519, 2051, 657, 572, 636, 538, 922, 2407, 18710, 269, 3807, 585, 513, 5618, 4090, 267, 7943, 10627, 1117, 519, 15224, 267, 1818, 621, 1413, 30642, 1996, 519, 17804, 4683, 4259, 269, 2334, 8289, 3576, 1250, 7362, 2476, 543, 14678, 18056, 803, 1946, 594, 8593, 538, 2648, 609, 2951, 538, 519, 1101, 1747, 780, 3383, 9493, 1695, 267, 10188, 547, 519, 2051, 657, 572, 636, 7012, 1405, 2653, 6862, 3551, 269, 1703, 941, 19240, 267, 14922, 906, 267, 543, 9465, 2059, 519, 1259, 269, 8616, 267, 1346, 1360, 2591, 3366, 803, 547, 7198, 513, 9589, 6429, 799, 594, 9327, 1405, 4123, 585, 4376, 3116, 269, 6884, 267, 1272, 25001, 7455, 27750, 693, 721, 1282, 938, 15322, 267, 1312, 21055, 543, 27461, 269, 1809, 952, 649, 3251, 1930 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 5080, 11187, 1599, 692, 257, 302, 660, 334, 257, 28570, 338, 1934, 269, 1280, 824, 3096, 267, 1294, 530, 1731, 5406, 776, 281, 15193, 563, 288, 1147, 11187, 1599, 689, 6389, 2473, 547, 13798, 558, 664, 962, 269, 634, 1599, 568, 1147, 11187, 1317, 1169, 1448, 538, 519, 13798, 558, 664, 568, 519, 1871, 540, 535, 3287, 264, 585, 693, 2547, 835, 1448, 1535, 538, 519, 6389, 780, 1103, 6128, 267, 513, 1599, 535, 689, 513, 1305, 2473, 547, 513, 1305, 962, 568, 1147, 11187, 630, 528, 5196, 1070, 610, 513, 1147, 20287, 267, 952, 1169, 3693, 586, 538, 962, 814, 513, 7222, 3693, 1535, 538, 2473, 971, 602, 535, 3287, 264, 815, 586, 269, 630, 2005, 568, 711, 2838, 602, 1535, 568, 2189, 282, 519, 1599, 535, 949, 4786, 835, 610, 811, 2609, 540, 2473, 547, 519, 1482, 3693, 540, 962, 24355, 763, 2165, 1147, 11187, 543, 519, 1644, 2474, 7630, 633, 543, 1979, 11187, 941, 5189, 676, 12832, 15614, 25816, 321, 13403, 267, 314, 272, 316, 513, 1895, 540, 5631, 3943, 476, 736, 628, 10601, 22697, 945, 896, 713, 15554, 7716, 5206, 513, 3126, 540, 2835, 9306, 606, 1163, 3789, 540, 2413, 4359, 6128, 267, 4098, 538, 476, 4350, 276, 269, 634, 3943, 18772, 1147, 1797, 936, 610, 1657, 543, 12211, 547, 519, 1249, 602, 519, 3239, 540, 519, 6389, 540, 513, 1147, 11187, 1599, 4625, 6227, 519, 1599, 781, 13798, 558, 664, 780, 1012, 9502, 692, 2690, 811, 3877, 593, 10035, 267, 1294, 9577, 630, 3901, 24136, 264, 19926, 1109, 8253, 566, 780, 288, 1147, 11187, 1599, 568, 513, 1599, 4171, 3239, 568, 3160, 547, 922, 13798, 558, 664, 269, 4982, 2526, 1836, 267, 513, 1599, 535, 609, 6389, 2473, 543, 13798, 558, 664, 962, 568, 1147, 11187, 952, 585, 1169, 586, 538, 962, 972, 6818, 693, 2547, 835, 1535, 538, 2473, 609, 1547, 5080, 915, 687, 616, 3006, 20922, 676, 513, 1079, 32567, 1318, 2072, 15561, 630, 308, 266, 2641, 288, 271, 681, 20846, 310, 2752, 9169, 29375, 302, 16777, 4696, 3633, 8121, 4629, 310, 1070, 314, 273, 316, 607, 538, 535, 1109, 281, 2473, 312, 780, 15228, 2513, 1227, 10484, 2252, 2073, 1287, 568, 1767, 547, 581, 1147, 11187, 952, 454, 780, 1012, 6201, 692, 288, 1875, 1606, 584, 11187, 1599, 689, 6389, 2473, 547, 13798, 558, 664, 962, 269, 634, 4130, 24814, 3330, 962, 568, 519, 3239, 630, 10193, 1572, 2039, 264, 540, 535, 269, 901, 1599, 568, 711, 1147, 11187, 267, 1317, 519, 3239, 1281, 711, 6445, 519, 2898, 13798, 558, 664, 269, 769, 824, 1913, 267, 962, 568, 11954, 538, 513, 1079, 9912, 1184, 281, 3689, 267, 585, 1169, 1535, 538, 2473, 267, 519, 1448, 535, 3287, 264, 568, 11954, 5835, 282, 5822, 267, 782, 519, 1964, 540, 519, 2798, 538, 962, 267, 602, 616, 711, 5835, 267, 616, 11954, 4544, 269, 634, 1599, 535, 568, 1147, 11187, 1152, 952, 972, 616, 1100, 4544, 2798, 780, 2690, 1022, 1305, 2473, 267, 519, 3961, 1599, 7329, 311, 593, 2473, 568, 1147, 11187, 780, 763, 1599, 535, 1109, 281, 2098, 346, 271, 267, 272, 348, 3989, 676, 535, 3799, 264, 815, 562, 1110, 476, 273, 630, 7474, 568, 267, 1256, 9981, 616, 25528, 547, 476, 271, 543, 9642, 9981, 547, 476, 272, 264, 568, 1147, 11187, 780, 763, 1599, 535, 1109, 281, 681, 305, 3989, 676, 535, 3287, 264, 815, 476, 273, 343, 1341, 476, 272, 568, 1147, 11187, 630, 663, 1256, 1979, 11187, 1070, 1317, 585, 1169, 1483, 1297, 586, 649, 723, 606, 1535, 971, 602, 535, 3287, 264, 815, 586, 281, 606, 3617, 1535, 568, 630, 344, 6567, 476, 272, 8358, 273, 780, 763, 1599, 535, 1109, 281, 681, 305, 3989, 676, 535, 3287, 264, 815, 1535, 274, 6567, 476, 274, 343, 568, 1147, 11187, 267, 1317, 519, 840, 268, 13548, 540, 1022, 1483, 1297, 586, 568, 519, 3070, 1305, 540, 519, 12945, 9971, 3830, 1535, 274, 6567, 476, 274, 15383, 815, 476, 271, 543, 1169, 12945, 9971, 609, 1483, 14170, 814, 693, 2547, 835, 1483, 3597, 269, 1717, 267, 713, 1599, 568, 711, 7630, 633, 630, 663, 8754, 711, 1979, 11187, 264, 2094, 552, 3052, 269, 519, 840, 268, 13548, 540, 586, 815, 476, 273, 568, 2715, 343, 815, 6567, 272, 267, 1535, 815, 476, 273, 20467, 630, 1103, 1249, 267, 519, 840, 268, 13548, 540, 713, 1599, 585, 1169, 586, 267, 6567, 273, 18016, 586, 18016, 476, 273, 814, 811, 982, 835, 3693, 24355, 763, 1599, 575, 1109, 281, 681, 305, 3989, 676, 575, 3287, 264, 815, 1535, 273, 568, 711, 1147, 11187, 267, 1317, 972, 568, 1100, 1483, 1297, 1535, 971, 602, 1535, 273, 815, 6567, 272, 269, 1717, 267, 519, 1599, 575, 1109, 281, 681, 305, 271, 266, 3989, 676, 575, 3287, 264, 815, 1535, 273, 630, 5976, 11658, 13798, 558, 664, 264, 568, 1147, 11187, 1317, 585, 1169, 586, 538, 519, 1875, 17463, 1483, 13798, 558, 664, 962, 972, 568, 693, 2547, 835, 1535, 538, 519, 1483, 6389, 2473, 971, 602, 1535, 273, 815, 586, 780, 763, 2067, 30233, 1599, 23692, 1109, 281, 630, 271, 267, 266, 31236, 264, 9890, 681, 568, 513, 1147, 11187, 543, 1256, 1979, 11187, 11837, 689, 519, 1305, 540, 2318, 1483, 2338, 547, 519, 1305, 540, 782, 1483, 2338, 269, 4706, 11201, 267, 519, 12825, 1599, 267, 568, 711, 1147, 11187, 607, 922, 2039, 568, 519, 1305, 540, 2318, 1483, 2338, 543, 922, 6389, 568, 2356, 3989, 547, 581, 519, 1305, 540, 782, 1483, 2338, 269, 634, 5119, 12825, 568, 711, 1147, 11187, 950, 2938, 607, 513, 4786, 689, 519, 2230, 540, 782, 562, 9943, 333, 14290, 547, 3294, 269, 898, 568, 267, 2705, 267, 2356, 3989, 607, 513, 4786, 689, 519, 2230, 540, 782, 562, 9943, 333, 14290, 547, 519, 2489, 5276, 1895, 540, 4110, 562, 267, 1775, 4318, 269, 519, 1895, 540, 782, 562, 9943, 333, 538, 3200, 1043, 14290, 269, 7201, 713, 4214, 519, 5119, 12825, 568, 1147, 11187, 585, 1950, 14290, 267, 4352, 1869, 711, 1147, 11187, 585, 1483, 14290, 780, 763, 16879, 689, 513, 7047, 14198, 1587, 589, 6398, 645, 547, 835, 540, 922, 2188, 568, 1147, 11187, 8259, 519, 824, 3815, 568, 8900, 780, 1103, 513, 476, 274, 291, 3381, 3014, 10321, 616, 15810, 5196, 513, 476, 273, 291, 6366, 5496, 676, 1797, 540, 513, 1147, 11187, 1599, 780, 11328, 13133, 566, 585, 1147, 11187, 3252, 538, 519, 31951, 7077, 267, 3989, 676, 519, 11837, 535, 1109, 281, 2473, 312, 267, 1141, 586, 815, 535, 3287, 1070, 2473, 815, 6389, 540, 1599, 267, 962, 815, 2039, 540, 1599, 269, 5272, 3693, 538, 519, 2039, 568, 25528, 5196, 689, 606, 3693, 538, 519, 6389, 267, 676, 519, 4341, 535, 269, 1703, 949, 581, 513, 1297, 540, 6389, 2609, 799, 4786, 547, 519, 1482, 2039, 3693, 269, 2334, 568, 267, 1169, 586, 538, 962, 568, 25528, 689, 606, 3693, 1535, 538, 2473, 267, 811, 982, 835, 1535, 666, 4786, 547, 519, 1482, 586, 269, 19382, 281, 8307, 835, 6389, 568, 3254, 799, 2306, 535, 1147, 11187, 269, 9406, 281, 1079, 2009, 11890, 2473, 272, 543, 2473, 273, 616, 3254, 563, 15239, 1606, 584, 11187, 3252, 538, 519, 31951, 7077, 269, 4014, 930, 2694, 540, 519, 1599, 616, 1147, 11187, 267, 1141, 2609, 586, 538, 962, 798, 723, 513, 1871, 1535, 538, 2473, 971, 602, 586, 815, 535, 3287, 1070, 930, 2694, 616, 711, 269, 19382, 281, 1703, 568, 586, 271, 538, 962, 267, 855, 972, 568, 1100, 1535, 271, 538, 2473, 971, 602, 586, 271, 815, 535, 3287, 271, 1040, 9406, 281, 1703, 616, 586, 272, 267, 586, 273, 543, 586, 274, 538, 962, 267, 855, 972, 616, 1100, 1535, 272, 267, 1535, 273, 267, 543, 1535, 274, 538, 2473, 971, 602, 586, 272, 815, 535, 3287, 272, 1070, 586, 273, 815, 535, 3287, 273, 1070, 543, 586, 274, 815, 535, 3287, 274, 6393, 1012, 16544, 692, 288, 1599, 568, 1979, 11187, 952, 543, 1152, 952, 621, 568, 1312, 1147, 11187, 543, 7630, 633, 780, 2252, 630, 553, 568, 1419, 2944, 264, 513, 1599, 568, 4857, 609, 922, 3113, 267, 1287, 1147, 915, 2032, 568, 711, 513, 3959, 540, 519, 1599, 3294, 267, 855, 2864, 513, 2078, 1063, 519, 1599, 543, 922, 13798, 558, 664, 269, 9521, 7630, 2032, 267, 1147, 915, 2032, 3112, 581, 1224, 1055, 540, 519, 3113, 540, 519, 1599, 4805, 780, 2162, 5080, 915, 687, 607, 1318, 538, 3200, 1043, 3252, 692, 763, 1599, 575, 1109, 281, 962, 311, 568, 1767, 547, 581, 513, 1318, 11201, 540, 519, 1599, 535, 1109, 281, 2473, 312, 952, 535, 14116, 12169, 4297, 815, 586, 585, 1169, 586, 538, 962, 630, 326, 666, 581, 3768, 821, 676, 535, 1040, 769, 824, 1913, 267, 575, 568, 513, 1318, 11201, 540, 535, 952, 519, 5888, 535, 522, 575, 540, 575, 543, 535, 538, 602, 1931, 568, 519, 3961, 1599, 593, 519, 6389, 962, 540, 575, 269, 634, 1599, 575, 991, 711, 581, 513, 2347, 11201, 540, 535, 1317, 519, 5888, 538, 519, 824, 1931, 267, 575, 522, 535, 267, 949, 711, 581, 519, 3961, 1599, 593, 519, 6389, 2473, 540, 535, 269, 769, 824, 1913, 267, 535, 666, 3768, 334, 610, 834, 516, 2091, 257, 575, 267, 855, 3112, 8209, 581, 20328, 676, 621, 780, 9336, 1599, 609, 513, 1318, 11201, 568, 8209, 513, 1147, 20287, 269, 634, 20790, 602, 1169, 1147, 11187, 1599, 814, 513, 1318, 11201, 568, 6697, 547, 519, 24936, 558, 540, 3903, 780, 2252, 535, 1109, 281, 2473, 312, 568, 1147, 11187, 543, 645, 568, 513, 15410, 540, 962, 267, 1287, 535, 6600, 476, 272, 16360, 4297, 815, 645, 269, 4935, 267, 645, 666, 581, 16626, 689, 922, 840, 13548, 535, 476, 272, 16360, 6393, 2690, 1383, 267, 538, 519, 1101, 14745, 267, 972, 568, 930, 1599, 575, 971, 602, 575, 18154, 264, 815, 476, 275, 269, 1703, 568, 849, 930, 1599, 535, 971, 602, 535, 263, 275, 264, 815, 595, 269, 898, 3085, 1405, 2339, 602, 575, 18154, 264, 666, 849, 3160, 476, 274, 282, 621, 1152, 6927, 602, 535, 834, 516, 951, 525, 257, 575, 780, 2162, 5080, 915, 687, 607, 3134, 574, 6973, 3359, 692, 288, 1599, 535, 1109, 281, 2473, 312, 568, 1147, 11187, 952, 543, 1152, 952, 621, 568, 1318, 2275, 766, 961, 894, 281, 314, 274, 316, 2016, 1022, 3252, 575, 267, 327, 1109, 281, 962, 313, 267, 8164, 575, 522, 535, 815, 554, 522, 535, 267, 1287, 575, 815, 554, 269, 901, 3959, 568, 19775, 538, 2474, 540, 3252, 543, 741, 5888, 543, 666, 581, 20902, 547, 519, 811, 2489, 10206, 540, 519, 10641, 3359, 540, 513, 7121, 543, 741, 5888, 269, 9406, 2275, 766, 961, 894, 10641, 3359, 616, 1572, 3134, 574, 6973, 3359, 269, 13018, 267, 1147, 11187, 3252, 616, 10502, 519, 3134, 574, 6973, 3359, 538, 519, 7121, 540, 5036, 269, 634, 18772, 3134, 328, 568, 6508, 689, 519, 5259, 840, 6570, 31057, 494, 11027, 29111, 2495, 936, 267, 1657, 267, 593, 780, 12179, 10641, 1143, 609, 513, 1318, 11201, 568, 606, 3134, 574, 6973, 1143, 267, 855, 519, 598, 2091, 568, 711, 3020, 538, 2489, 269, 589, 1318, 11201, 575, 540, 513, 10641, 1143, 535, 568, 1572, 513, 3296, 540, 535, 269, 589, 10641, 1143, 609, 513, 1318, 11201, 568, 1572, 513, 8237, 3134, 574, 6973, 1143, 780, 2162, 5080, 915, 687, 607, 9352, 1894, 692, 12179, 1599, 609, 6389, 2473, 543, 13798, 558, 664, 962, 666, 581, 2938, 607, 513, 2451, 2389, 4973, 543, 1318, 10595, 1664, 9352, 6935, 1063, 2473, 543, 962, 676, 7114, 621, 609, 922, 1599, 3113, 269, 589, 1147, 11187, 1599, 609, 6389, 2473, 543, 13798, 558, 664, 962, 568, 1287, 513, 9352, 6935, 1063, 2473, 543, 962, 602, 568, 1318, 10595, 1664, 543, 1312, 2451, 2389, 4973, 543, 1318, 2389, 4973, 780, 2162, 9315, 514, 1275, 540, 519, 6389, 540, 513, 1147, 20287, 692, 763, 3556, 514, 1275, 540, 519, 6389, 540, 513, 1147, 11187, 1599, 568, 3152, 982, 610, 3160, 547, 519, 3556, 514, 1275, 540, 922, 13798, 558, 664, 281, 1403, 535, 1109, 281, 2473, 312, 568, 513, 1147, 11187, 1599, 267, 1287, 2473, 814, 693, 2547, 607, 1082, 2609, 607, 962, 267, 538, 519, 2631, 540, 29039, 2338, 269, 630, 763, 6169, 22587, 547, 519, 24936, 558, 540, 3903, 547, 1397, 602, 513, 1599, 575, 1109, 281, 962, 311, 17598, 535, 14116, 12169, 4297, 815, 586, 585, 782, 586, 538, 962, 6818 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2241, 4351, 10386, 269, 769, 519, 2034, 3942, 267, 9836, 10386, 729, 1031, 1141, 1169, 476, 1789, 628, 1268, 10024, 891, 10506, 729, 4280, 547, 7119, 538, 519, 1353, 269, 901, 1184, 4797, 2394, 519, 2838, 3732, 729, 6913, 563, 763, 17013, 941, 4280, 547, 6445, 513, 1582, 14194, 3439, 1229, 18102, 1310, 13844, 741, 11913, 9844, 269, 29621, 7355, 3769, 1346, 945, 941, 2901, 19801, 538, 513, 22692, 4110, 10872, 610, 693, 2547, 1185, 513, 22692, 4110, 1247, 5171, 2630, 713, 2069, 1377, 941, 16934, 689, 519, 1353, 269, 769, 1840, 267, 17013, 945, 941, 711, 8348, 547, 7119, 538, 519, 1353, 941, 849, 16934, 269, 8422, 26830, 941, 18106, 543, 941, 16934, 689, 519, 2079, 267, 8744, 1524, 519, 3803, 1239, 1293, 1031, 585, 2079, 547, 476, 30525, 269, 1635, 2921, 24596, 2551, 538, 9031, 607, 476, 277, 9077, 24596, 2551, 538, 700, 1695, 648, 607, 476, 1321, 269, 276, 9077, 1297, 540, 17013, 6594, 607, 476, 30525, 543, 13672, 607, 476, 276, 9077, 519, 2022, 3620, 665, 1379, 540, 519, 3732, 6594, 729, 476, 9032, 269, 273, 10065, 279, 769, 1840, 267, 519, 10727, 2268, 630, 290, 1258, 22138, 24488, 264, 540, 519, 2068, 5829, 3688, 540, 519, 18102, 729, 476, 271, 269, 280, 5379, 269, 2353, 519, 1239, 729, 9411, 267, 29971, 543, 21845, 593, 590, 31723, 4528, 476, 2641, 269, 14627, 4293, 543, 21159, 941, 1031, 585, 519, 6881, 543, 7664, 540, 519, 1239, 563, 288, 2698, 540, 476, 15757, 856, 540, 476, 29344, 630, 6795, 269, 280, 8472, 17013, 941, 4775, 267, 543, 519, 1611, 2085, 729, 476, 2767, 22144, 280, 269, 278, 1296, 267, 8151, 689, 476, 1691, 547, 476, 5780, 1296, 269, 11683, 640, 540, 519, 17013, 941, 689, 519, 4683, 1858, 630, 3199, 269, 272, 15992, 543, 476, 13975, 856, 540, 476, 24129, 630, 10602, 269, 280, 8472, 17013, 1185, 693, 2547, 513, 22692, 4110, 269, 589, 2698, 540, 476, 10482, 856, 540, 476, 25784, 630, 6246, 269, 272, 8472, 17013, 941, 2324, 543, 519, 1964, 941, 2901, 1053, 610, 2777, 342, 1161, 269, 634, 2164, 4843, 538, 7305, 268, 272, 6813, 602, 519, 1072, 4567, 540, 476, 16348, 856, 540, 476, 28510, 630, 10844, 269, 279, 8472, 17013, 729, 693, 2547, 9793, 563, 28899, 640, 540, 519, 17013, 476, 4572, 630, 7761, 269, 278, 8472, 1705, 711, 723, 513, 10629, 538, 741, 1973, 6935, 269, 4014, 1034, 540, 519, 17013, 630, 22001, 282, 476, 10019, 269, 272, 8472, 1185, 4862, 540, 519, 2220, 710, 2770, 1152, 513, 1507, 8167, 630, 9083, 282, 476, 4391, 269, 272, 8472, 1185, 1702, 3823, 519, 670, 272, 301, 272, 14798, 589, 3644, 269, 27051, 3368, 540, 519, 17013, 630, 16928, 282, 476, 7906, 269, 272, 8472, 1185, 4810, 12119, 14798, 538, 741, 2729, 543, 476, 7597, 630, 1839, 269, 277, 8472, 5171, 1185, 1044, 18764, 547, 2061, 14798, 3968, 1282, 519, 2250, 476, 1321, 3275, 269, 11683, 640, 540, 519, 17013, 630, 28796, 282, 476, 10844, 269, 279, 8472, 1185, 7157, 4857, 519, 10368, 1449, 585, 2220, 710, 2770, 269, 634, 1034, 1455, 2707, 540, 1702, 3823, 2220, 710, 2770, 729, 8613, 543, 3377, 9055, 630, 4097, 282, 476, 1321, 269, 273, 260, 1916, 288, 2698, 540, 476, 13670, 630, 5325, 269, 274, 8472, 17013, 941, 3222, 602, 2126, 729, 2139, 585, 2220, 710, 2770, 267, 1247, 476, 11277, 630, 6246, 8472, 5171, 1767, 602, 1100, 4915, 729, 2139, 543, 476, 2764, 630, 280, 269, 278, 8472, 1705, 711, 917, 827, 8244, 540, 1022, 4915, 585, 2220, 710, 2770, 269, 769, 1840, 267, 476, 14838, 630, 8660, 269, 273, 8472, 17013, 1705, 711, 917, 827, 519, 8244, 540, 1022, 6669, 585, 2220, 710, 2770, 269, 11683, 640, 540, 519, 17013, 2808, 519, 2068, 607, 3868, 762, 630, 5002, 282, 476, 5780, 269, 274, 8472, 543, 6785, 602, 621, 1223, 581, 14603, 630, 18684, 282, 476, 7761, 269, 271, 22103, 11683, 640, 540, 519, 17013, 1705, 711, 723, 1022, 1702, 3823, 519, 2589, 610, 2934, 540, 2220, 710, 2770, 563, 310, 13446, 5944, 5354, 540, 519, 5171, 630, 285, 26562, 282, 3436, 6434, 269, 274, 8472, 2901, 1705, 711, 723, 1702, 610, 27235, 4080, 519, 15324, 3800, 610, 23142, 3344, 540, 519, 2068, 563, 4910, 792, 2583, 593, 1702, 267, 10182, 543, 2853, 723, 11999, 1764, 538, 7939, 5773, 540, 3868, 762, 3676, 607, 789, 5031, 519, 1533, 540, 519, 2247, 543, 2853, 540, 519, 2146, 543, 5000, 1930, 1071, 268, 7774, 799, 568, 4105, 585, 11056, 540, 8171, 15961, 269, 280, 901, 568, 2523, 1271, 538, 9013, 6855, 3676, 899, 28939, 8611, 267, 6177, 2770, 267, 22096, 3644, 543, 14798, 589, 3644, 1016, 6943, 670, 272, 301, 272, 269, 4658, 689, 3592, 782, 2127, 540, 9031, 1847, 547, 700, 1695, 648, 547, 3343, 1732, 2069, 610, 7694, 3255, 269, 1284, 666, 3589, 602, 519, 3510, 3823, 519, 4656, 540, 2220, 710, 2770, 949, 581, 2539, 3379, 547, 519, 1447, 13473, 2146, 540, 519, 2197, 269, 24770, 267, 4731, 333, 712, 7321, 267, 1970, 12046, 543, 519, 3668, 540, 4656, 827, 513, 2068, 616, 519, 2101, 2188, 585, 4057, 1857, 1072, 538, 513, 3148, 269, 1015, 769, 1840, 267, 3668, 540, 1702, 827, 513, 10194, 2068, 971, 607, 2220, 710, 2770, 1851, 519, 13473, 2146, 540, 513, 2101, 2749, 6157, 8711, 606, 24034, 3510, 543, 519, 8128, 1590, 1491, 15324, 3800, 547, 2569, 519, 3262, 540, 519, 2068, 543, 2087, 519, 1857, 1072, 4093, 563, 7212, 1004, 689, 1082, 4525, 267, 4529, 543, 8739, 20300, 4567, 666, 581, 1336, 538, 700, 1695, 648, 855, 519, 2164, 540, 519, 1459, 1353, 3112, 581, 2489, 2213, 585, 519, 24596, 2551, 540, 519, 3003, 2197, 2394, 513, 1804, 3732, 568, 3144, 689, 782, 519, 2127, 540, 9031, 269, 5015, 267, 607, 1152, 519, 24596, 2551, 540, 519, 2749, 729, 11567, 538, 519, 1699, 1353, 267, 649, 4363, 602, 513, 2147, 7634, 1058, 849, 581, 6905, 585, 1970, 268, 14445, 730, 610, 2192, 30185, 2146, 540, 519, 2749, 563, 28899, 640, 540, 519, 17013, 941, 23387, 3823, 519, 1585, 2589, 267, 18993, 5024, 2188, 267, 15324, 3800, 540, 2220, 710, 2770, 269, 4210, 710, 2770, 568, 513, 3978, 6161, 543, 8387, 1058, 1491, 2556, 3268, 547, 2057, 519, 24896, 543, 9019, 1813, 547, 519, 2068, 563, 763, 2278, 568, 9684, 995, 547, 519, 9375, 4433, 264, 543, 2689, 518, 4433, 264, 585, 741, 3407, 8292, 602, 5280, 547, 2087, 713, 12377, 563, 18183, 12787, 540, 9314, 281, 634, 2278, 814, 1100, 4655, 540, 1719, 563, 293, 27448, 17796, 281, 7183, 563, 272, 269, 1627, 553, 574, 631, 269, 17607, 2877, 547, 2057, 2220, 710, 2770, 12176, 269, 634, 5240, 476, 1001, 277, 3967, 476, 1015, 563, 273, 269, 674, 4673, 1002, 570, 267, 1325, 11860, 582, 631, 267, 1325, 6363, 987, 589, 302, 267, 715, 2129, 589, 267, 4144, 629, 715, 269, 8871, 10056, 540, 1702, 267, 10182, 543, 2259, 2509, 2220, 710, 2770, 589, 26260, 272, 301, 272, 269, 9093, 1993, 807, 2405, 808, 476, 1001, 271, 282, 476, 2537, 281, 476, 10695, 268, 11463, 563, 274, 269, 12852, 731, 12463, 267, 23111, 23404, 267, 2667, 1601, 537, 744, 300, 267, 918, 1329, 344, 12463, 269, 634, 476, 1220, 280, 589, 630, 295, 272, 301, 272, 264, 14798, 3644, 6855, 281, 513, 2689, 269, 28404, 476, 1001, 271, 282, 476, 2764, 281, 476, 4366, 280, 276, 268, 3445, 273, 563, 275, 269, 2622, 2657, 9257, 269, 17455, 2438, 14798, 23982, 543, 3210, 281, 513, 14959, 5583, 3561, 269, 25611, 281, 14959, 282, 476, 1220, 280, 563, 276, 269, 2349, 754, 517, 681, 297, 267, 645, 21672, 808, 300, 267, 2677, 305, 665, 1127, 18328, 267, 681, 1446, 662, 661, 267, 13177, 4211, 331, 1046, 918, 269, 634, 1857, 11138, 32075, 338, 3210, 547, 4049, 8650, 7929, 6794, 538, 17842, 543, 519, 2136, 2276, 269, 7885, 16791, 2598, 476, 1220, 275, 282, 476, 4343, 281, 476, 280, 1839, 268, 4029, 563, 277, 269, 918, 1177, 534, 335, 675, 670, 267, 21051, 1173, 565, 8121, 267, 22087, 2006, 629, 3873, 645, 309, 269, 589, 1353, 547, 2708, 1702, 267, 10182, 543, 2259, 3823, 2220, 710, 2770, 269, 2271, 808, 2657, 2233, 1763, 476, 1001, 275, 282, 476, 275, 281, 476, 277, 268, 1556, 563, 278, 269, 9504, 269, 1496, 15697, 316, 476, 1001, 277, 1496, 290, 1243, 476, 1001, 277, 4873, 476, 1626, 4940, 12232, 689, 281, 15745, 281, 4179, 2517, 523, 25769, 3820, 28293, 270, 19733, 18425, 318, 303, 8140, 258, 307, 21033, 318, 25531, 563, 279, 269, 23821, 710, 631, 267, 3416, 558, 631, 295, 269, 5403, 554, 665, 1379, 2079, 281, 606, 2856, 4171, 942, 814, 5293, 286, 24103, 8839, 476, 1220, 272, 282, 476, 2641, 281, 476, 28147, 268, 280, 563, 280, 269, 8575, 1127, 327, 12676, 267, 1744, 656, 24170, 9399, 267, 645, 16017, 700, 289, 267, 623, 1177, 541, 9501, 267, 645, 16017, 20793, 267, 13259, 597, 571, 334, 17241, 267, 1696, 620, 269, 589, 5623, 593, 4210, 710, 12071, 269, 1912, 12609, 2233, 18554, 476, 1001, 276, 282, 476, 277, 281, 476, 28143, 268, 2190, 563, 1015, 269, 14118, 27833, 6820, 21073, 1867, 269, 717, 728, 517, 769, 26197, 269, 7330, 281, 717, 728, 517, 282, 476, 1001, 277, 267, 476, 276, 268, 2412, 269, 0, 763, 6299, 625, 538, 23529, 616, 1767, 547, 581, 1851, 519, 9510, 538, 519, 1158, 693, 5111, 476, 274, 5479, 1296, 2025, 563, 2691, 941, 6299, 625, 1101, 1336, 888, 26123, 27639, 1299, 11676, 625, 454, 2026, 2038, 607, 476, 7742, 271, 645, 5861, 1421, 6299, 625, 941, 1101, 4362, 538, 519, 631, 690, 758, 3148, 540, 27060, 267, 19497, 1634, 607, 8738, 2742, 269, 2311, 519, 5599, 3135, 693, 631, 690, 758, 267, 12942, 6520, 2645, 723, 1044, 4362, 267, 7674, 607, 6402, 547, 519, 25196, 540, 519, 4087, 563, 3674, 972, 513, 1686, 3297, 513, 6299, 344, 888, 305, 889, 344, 568, 835, 540, 519, 1034, 13840, 1713, 11954, 10007, 269, 2560, 769, 519, 1101, 2540, 5084, 267, 519, 4936, 16159, 1773, 4176, 3769, 6299, 625, 538, 1010, 7849, 3778, 267, 10503, 741, 21052, 543, 5860, 269, 9147, 27734, 5156, 602, 1346, 945, 6035, 5386, 6299, 625, 547, 519, 5601, 30730, 941, 11292, 32193, 607, 900, 30752, 563, 8489, 1705, 6299, 625, 22132, 888, 19328, 729, 1362, 1227, 9833, 607, 519, 25007, 779, 2197, 540, 5169, 585, 811, 982, 1079, 8536, 1296, 269, 21298, 267, 16444, 20092, 267, 9031, 267, 543, 15787, 723, 6534, 8101, 25007, 12074, 269, 769, 14913, 5607, 267, 27060, 267, 17289, 267, 25591, 267, 543, 10476, 723, 849, 1044, 1279, 9833, 607, 2959, 540, 5386, 11676, 625, 563, 1432, 568, 519, 4686, 560, 17576, 538, 519, 1158, 888, 15404, 6588, 341, 924, 269, 4053, 6588, 341, 924, 729, 4362, 538, 476, 3422, 278, 543, 568, 24903, 519, 4686, 560, 17576, 7723, 538, 519, 1158, 269, 898, 729, 1101, 4362, 538, 4053, 6588, 557, 681, 5190, 267, 5245, 267, 543, 2663, 1336, 538, 28801, 543, 23529, 563, 1432, 568, 519, 17576, 7723, 585, 5147, 888, 5649, 6168, 519, 25007, 267, 519, 17510, 7723, 585, 5147, 1107, 1977, 26155, 5980, 563, 1432, 1281, 25007, 1611, 538, 519, 6426, 888, 763, 17576, 7723, 4386, 2185, 2053, 538, 519, 19978, 1257, 267, 543, 538, 1142, 942, 267, 621, 814, 1044, 2404, 609, 519, 10305, 540, 7326, 543, 5898, 269, 2560, 634, 2012, 25007, 568, 849, 5018, 538, 3504, 16130, 27403, 1141, 621, 568, 5219, 547, 607, 968, 7806, 333, 541, 1690, 5608, 2495, 519, 968, 6362, 540, 10475, 10007, 9731, 1432, 7060, 798, 6299, 625, 723, 888, 763, 1592, 540, 25007, 779, 7060, 5170, 676, 29000, 20344, 540, 2168, 610, 5289, 2295, 267, 10597, 10009, 267, 4105, 3278, 1973, 543, 3003, 1560, 543, 2247, 267, 18791, 12046, 267, 31591, 22376, 1375, 880, 610, 26862, 2175, 593, 2168, 610, 5289, 2157, 543, 1491, 513, 7362, 1631, 563, 1432, 2306, 513, 6299, 344, 2027, 888, 305, 889, 344, 568, 13747, 585, 922, 6505, 2699, 2681, 267, 1373, 519, 1034, 1340, 539, 543, 535, 12574, 2699, 17576, 7723, 269, 29817, 728, 585, 922, 6505, 2681, 267, 621, 568, 513, 1034, 14909, 17576, 1813, 547, 922, 21052, 267, 15006, 267, 561, 13831, 267, 543, 678, 10846, 269, 3690, 8001, 6299, 625, 540, 1804, 7306, 616, 1256, 4686, 337, 982, 18924, 4637, 563, 1432, 4224, 568, 6299, 344, 1336, 538, 888, 305, 889, 344, 568, 2356, 1336, 538 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1870, 1544, 568, 513, 2556, 2359, 1907, 602, 5849, 519, 1268, 4358, 519, 1870, 12116, 543, 27786, 782, 3344, 540, 4881, 621, 269, 3509, 4213, 3111, 1317, 789, 1810, 1406, 1491, 519, 942, 547, 840, 13807, 534, 543, 7914, 1318, 883, 2870, 543, 9513, 741, 1587, 610, 3028, 269, 11109, 513, 1870, 1544, 4679, 519, 10171, 540, 1967, 269, 6355, 5411, 1058, 1445, 593, 26762, 519, 1585, 6198, 2127, 540, 513, 1870, 543, 875, 789, 666, 3565, 547, 519, 1967, 540, 519, 13055, 269, 634, 1646, 540, 513, 1870, 3340, 513, 9488, 6514, 540, 891, 6198, 2127, 563, 16391, 1944, 6198, 2127, 540, 513, 1870, 2516, 1004, 609, 519, 1482, 1983, 543, 6791, 547, 3362, 2638, 519, 960, 2944, 676, 519, 2818, 269, 898, 779, 3608, 585, 2818, 547, 2319, 909, 593, 3785, 17596, 741, 1983, 269, 1358, 666, 849, 723, 513, 19307, 538, 2013, 606, 9441, 666, 1406, 2347, 741, 960, 269, 7053, 267, 12180, 6198, 2127, 538, 513, 1870, 2306, 1702, 4687, 543, 2866, 12863, 563, 9616, 602, 930, 4213, 949, 723, 3606, 6198, 2127, 267, 543, 519, 1808, 3252, 1369, 1142, 1858, 949, 4268, 4470, 593, 519, 2754, 779, 2450, 543, 2872, 269, 0, 1103, 713, 3059, 2085, 267, 5841, 4987, 630, 9590, 264, 814, 6385, 7960, 267, 543, 835, 540, 922, 1034, 4241, 8371, 568, 30462, 3642, 269, 901, 2029, 666, 1711, 267, 1374, 267, 543, 5352, 1543, 1419, 967, 626, 3907, 27720, 689, 1018, 513, 1480, 1131, 3132, 269, 6787, 596, 2461, 606, 14971, 1239, 10196, 267, 513, 10509, 27423, 267, 610, 3274, 8049, 827, 713, 2361, 267, 713, 3391, 786, 3802, 596, 998, 4742, 513, 30462, 3642, 4274, 269, 21207, 548, 909, 1317, 649, 2461, 11362, 2620, 883, 519, 1158, 540, 3642, 5876, 2336, 1432, 568, 9198, 894, 3642, 888, 4263, 922, 4295, 267, 9198, 894, 3642, 3096, 2553, 899, 2620, 1565, 547, 1174, 543, 21613, 519, 1259, 1480, 12058, 1599, 269, 898, 16137, 689, 1804, 14449, 543, 3096, 713, 1702, 547, 1711, 1543, 602, 9832, 689, 1257, 543, 2592, 547, 2575, 543, 1256, 3381, 269, 634, 3119, 3804, 568, 547, 3132, 20310, 1543, 967, 626, 3907, 27720, 689, 1018, 513, 1480, 1522, 5352, 563, 1692, 6496, 9198, 894, 3642, 4518, 888, 17653, 894, 3642, 18252, 8849, 5121, 1634, 607, 30462, 3631, 269, 1452, 3631, 2874, 540, 606, 1958, 18344, 543, 513, 1232, 18344, 269, 634, 1958, 18344, 23607, 1239, 543, 21555, 922, 5817, 2934, 267, 1247, 519, 1232, 18344, 12958, 1007, 1543, 1759, 593, 891, 2934, 269, 634, 9198, 894, 1520, 951, 25106, 8416, 630, 294, 3198, 264, 568, 513, 4583, 1383, 540, 971, 513, 3631, 563, 21104, 725, 540, 9198, 894, 3642, 454, 17653, 894, 3642, 9060, 3309, 3156, 2066, 1585, 11890, 269, 769, 519, 7706, 540, 1148, 543, 1374, 267, 621, 11226, 538, 2870, 19511, 10367, 267, 2575, 267, 543, 5499, 2592, 269, 769, 3782, 267, 30462, 3631, 3565, 547, 2068, 5868, 543, 3075, 1646, 269, 1280, 1893, 8144, 267, 1164, 7779, 1257, 5108, 538, 2789, 4654, 3587, 24276, 269, 9198, 894, 3642, 849, 3826, 1127, 1272, 883, 5691, 5054, 538, 11080, 543, 13502, 267, 1818, 873, 811, 15138, 543, 9159, 269, 901, 2029, 4249, 513, 11358, 1909, 538, 14027, 543, 3048, 908, 1585, 4610, 563, 763, 8466, 12472, 454, 17653, 894, 3642, 814, 22734, 513, 4241, 4720, 2429, 922, 1686, 269, 898, 15244, 922, 8129, 547, 2038, 2780, 2257, 6901, 538, 519, 4571, 268, 736, 628, 2540, 267, 609, 4505, 8942, 693, 4341, 2861, 1949, 543, 2241, 30462, 6620, 269, 634, 2361, 6591, 11610, 538, 519, 476, 1001, 271, 338, 609, 519, 4417, 540, 2620, 1565, 543, 8849, 5121, 267, 3056, 547, 23484, 899, 519, 4367, 540, 30462, 10779, 25106, 5121, 630, 294, 3198, 338, 264, 676, 27950, 6153, 325, 3641, 538, 476, 1001, 275, 269, 717, 3198, 338, 19117, 30462, 3642, 676, 7175, 519, 5137, 540, 10853, 2592, 543, 2663, 14178, 547, 824, 3029, 540, 2923, 269, 3683, 519, 1296, 267, 30462, 3631, 723, 4797, 547, 4434, 267, 609, 7046, 9590, 779, 31744, 268, 274, 267, 5189, 538, 476, 1708, 271, 267, 1818, 24657, 585, 922, 2067, 1893, 5108, 7207, 269, 1306, 649, 3356, 267, 30462, 3642, 568, 26405, 547, 1404, 606, 5051, 7533, 1909, 538, 1585, 6080, 267, 689, 1148, 543, 9913, 547, 3782, 543, 3564, 563, 763, 11957, 540, 9198, 894, 3642, 454, 6524, 18167, 883, 519, 4241, 1158, 540, 9198, 894, 3642, 267, 1896, 23944, 28987, 1590, 581, 538, 1747, 547, 2327, 513, 3811, 3460, 269, 3689, 543, 19466, 267, 513, 4396, 5748, 538, 3684, 1565, 17950, 267, 1519, 513, 9787, 540, 8849, 5121, 267, 2620, 1565, 267, 543, 11938, 2553, 267, 568, 1898, 269, 4515, 11351, 538, 5752, 4654, 971, 607, 5124, 543, 513, 2324, 1702, 540, 2442, 2620, 1565, 10850, 899, 32150, 23044, 610, 12877, 307, 25403, 616, 2629, 585, 7598, 543, 19234, 609, 30462, 3631, 269, 3958, 267, 513, 2178, 1620, 540, 6128, 267, 3226, 5276, 7223, 543, 11810, 267, 568, 6225, 950, 26819, 532, 519, 6418, 25029, 540, 891, 3631, 269, 589, 6325, 8800, 14764, 267, 1419, 1519, 13382, 5825, 610, 570, 303, 5825, 267, 786, 3648, 11880, 924, 519, 2866, 1184, 269, 7053, 267, 513, 16994, 7279, 543, 513, 1966, 9010, 14820, 616, 17170, 585, 3695, 519, 3970, 1652, 3860, 1761, 540, 9198, 894, 3642, 563, 307, 8962, 543, 12229, 454, 21615, 1046, 532, 593, 707, 3460, 883, 9198, 894, 3642, 3340, 7463, 2645, 543, 3301, 547, 3142, 707, 2093, 547, 1272, 269, 32150, 23044, 543, 12877, 307, 25403, 779, 2620, 1565, 10850, 1291, 519, 3640, 267, 5356, 513, 2647, 2039, 540, 840, 32472, 3631, 543, 2200, 585, 30462, 4247, 269, 3958, 267, 8021, 899, 918, 10327, 543, 16258, 2967, 1683, 3593, 7888, 17103, 585, 4028, 1486, 19685, 269, 1280, 2656, 17634, 267, 808, 1575, 344, 614, 8074, 9248, 6961, 16832, 269, 13192, 5867, 971, 607, 5616, 2051, 629, 610, 589, 16703, 590, 720, 300, 6033, 1683, 2653, 1569, 547, 3532, 13382, 5825, 585, 2866, 267, 1247, 715, 4668, 8656, 779, 595, 308, 6395, 32367, 12366, 3278, 519, 4398, 540, 29453, 7384, 269, 7981, 1242, 2645, 899, 717, 3198, 338, 630, 17653, 894, 1520, 951, 25106, 17978, 264, 543, 22622, 19324, 630, 24868, 1049, 4201, 14535, 322, 617, 619, 264, 666, 581, 8045, 1210, 891, 10850, 267, 3850, 596, 547, 1711, 1148, 267, 5352, 1257, 267, 610, 30075, 2575, 269, 14936, 267, 2645, 899, 667, 17920, 7232, 267, 7046, 9590, 779, 31744, 267, 610, 13910, 294, 3198, 2709, 840, 2389, 11712, 3631, 543, 29026, 267, 28976, 3860, 1543, 1646, 269, 2659, 3903, 540, 2645, 5673, 593, 707, 1808, 1788, 3853, 543, 5578, 1377, 267, 855, 891, 3681, 1106, 513, 7347, 32367, 585, 4896, 11235, 547, 4685, 883, 9198, 894, 3642, 563, 763, 8838, 2711, 4804, 11202, 585, 3763, 619, 538, 9198, 894, 3642, 454, 2252, 596, 2461, 513, 17354, 3168, 547, 4487, 9198, 894, 3642, 267, 519, 1739, 31387, 2488, 513, 11295, 1935, 547, 948, 596, 3035, 707, 3853, 912, 272, 269, 25043, 540, 10724, 4804, 543, 12213, 4804, 912, 9359, 676, 2679, 513, 2178, 5748, 538, 3684, 1565, 543, 2620, 1565, 2035, 269, 25800, 3054, 609, 912, 1700, 17438, 543, 7194, 281, 4197, 2035, 899, 5506, 267, 19585, 5506, 267, 7345, 525, 685, 11532, 267, 543, 8579, 14778, 563, 1700, 12430, 7223, 281, 6258, 827, 10321, 267, 14290, 267, 543, 1949, 540, 5276, 4834, 563, 1700, 20145, 281, 13760, 27080, 267, 16755, 267, 543, 9864, 16755, 563, 1700, 14691, 281, 28150, 15334, 538, 513, 1893, 971, 607, 5124, 610, 681, 563, 273, 269, 10724, 4804, 4515, 11351, 912, 5629, 596, 4076, 9787, 539, 519, 17950, 267, 5490, 4514, 883, 3684, 1565, 269, 3763, 6791, 538, 912, 1700, 8111, 14876, 543, 5667, 10967, 14876, 1565, 6620, 267, 1519, 5276, 9695, 267, 26848, 9695, 267, 4351, 7733, 267, 543, 737, 24578, 753, 24159, 563, 1700, 8490, 3684, 1565, 3631, 585, 9184, 983, 14449, 563, 274, 269, 12213, 4804, 9457, 344, 912, 3682, 28698, 547, 2620, 1565, 676, 912, 1700, 10289, 2620, 1565, 25121, 899, 11638, 6441, 9707, 3131, 1061, 6425, 630, 7876, 11679, 1070, 1234, 9690, 22532, 17978, 630, 305, 13585, 338, 1070, 7043, 10374, 12910, 15350, 630, 299, 24278, 264, 3631, 267, 717, 730, 1234, 9690, 19590, 630, 16165, 5825, 1070, 543, 1230, 23728, 531, 22532, 17978, 630, 290, 13585, 338, 1916, 1700, 717, 8724, 3946, 6823, 1995, 609, 2620, 1565, 10850, 971, 607, 918, 10327, 267, 32150, 23044, 267, 12877, 307, 25403, 267, 610, 16258, 9590, 563, 1700, 4804, 547, 5721, 2620, 1565, 3631, 585, 1585, 4247, 267, 1519, 9184, 983, 1239, 267, 1257, 267, 543, 2592, 563, 275, 269, 9198, 894, 17738, 912, 4263, 713, 3942, 267, 596, 3580, 1445, 593, 30462, 3631, 543, 741, 3156, 269, 6206, 2127, 547, 3382, 1331, 912, 1700, 4197, 519, 3069, 3297, 30462, 3631, 543, 875, 789, 5352, 1239, 563, 1700, 10289, 1585, 30462, 3631, 899, 7352, 1049, 4201, 14535, 322, 617, 619, 630, 22849, 19324, 1070, 9198, 894, 1520, 951, 25106, 17978, 630, 294, 3198, 338, 1070, 543, 17992, 518, 2861, 3631, 563, 276, 269, 28589, 543, 8950, 17496, 7981, 1436, 912, 16521, 1063, 7849, 5678, 14409, 630, 301, 10861, 264, 543, 8950, 17496, 267, 4470, 593, 707, 4690, 912, 1700, 667, 633, 883, 519, 1158, 540, 28589, 267, 3695, 2035, 899, 18351, 1436, 267, 2262, 7842, 26204, 267, 543, 1893, 3631, 563, 1700, 5530, 840, 2389, 11712, 1893, 3631, 899, 645, 12224, 267, 31744, 268, 274, 267, 543, 2473, 299, 15187, 563, 1700, 6258, 827, 5386, 2389, 12941, 1893, 3631, 585, 1808, 28589, 4247, 563, 1700, 15331, 609, 28589, 10850, 543, 8021, 267, 971, 607, 670, 19982, 8131, 17992, 619, 563, 20663, 17496, 7981, 1436, 912, 1700, 24517, 3433, 593, 2780, 5075, 17950, 267, 1519, 3239, 840, 30112, 543, 4183, 10868, 563, 1700, 10812, 2620, 1565, 25121, 3358, 585, 2780, 5075, 267, 971, 607, 23711, 338, 563, 1700, 9457, 3239, 8760, 267, 1843, 7020, 267, 543, 3239, 26409, 563, 1700, 28150, 3946, 6823, 1995, 609, 2780, 5075, 8021, 899, 7046, 20302, 543, 12877, 307, 25403, 779, 23290, 9679, 563, 277, 269, 9198, 894, 3642, 17738, 912, 1103, 713, 5123, 267, 596, 3580, 960, 4481, 593, 30462, 3642, 3631, 269, 2659, 1565, 2619, 949, 1331, 912, 1700, 769, 3829, 3408, 540, 9198, 894, 1520, 951, 25106, 17978, 630, 294, 3198, 338, 264, 543, 7352, 1049, 4201, 14535, 322, 617, 619, 630, 22849, 19324, 1916, 1700, 8490, 707, 30462, 3631, 585, 4247, 899, 3239, 5108, 267, 2511, 4483, 267, 610, 1257, 5108, 563, 1700, 20963, 2389, 12941, 543, 17306, 30462, 3631, 585, 707, 1808, 3156, 563, 278, 269, 11628, 11762, 912, 26835, 8242, 609, 4359, 7835, 538, 519, 2361, 267, 799, 949, 1331, 912, 1700, 3194, 4574, 543, 4930, 593, 5969, 12967, 30462, 3642, 3631, 543, 2553, 563, 1700, 12160, 908, 538, 2228, 6030, 267, 11925, 267, 610, 19014, 1644, 547, 9198, 894, 3642, 563, 1700, 15331, 532, 609, 6932, 2645, 267, 10850, 267, 543, 5867, 538, 519, 9198, 894, 3642, 5117, 563, 279, 269, 19750, 18768, 912, 7343, 569, 707, 1702, 547, 1483, 8996, 3785, 269, 901, 1900, 568, 2629, 585, 4396, 4328, 707, 1983, 543, 2679, 513, 14769, 15386, 707, 9198, 894, 3642, 6791, 563, 280, 269, 23120, 4804, 912, 17653, 894, 3642, 568, 606, 9687, 2361, 269, 1677, 2611, 693, 519, 21282, 267, 16111, 4228, 707, 1702, 676, 2542, 1382, 4574, 267, 10283, 538, 5717, 267, 543, 15268, 547, 519, 5767, 7835, 563, 1015, 269, 21664, 543, 32730, 912, 18794, 3642, 2950, 267, 7390, 2743, 5725, 267, 543, 3060, 609, 4648, 538, 519, 2361, 269, 21664, 543, 3838, 2833, 666, 1683, 3407, 4030, 543, 3255, 585, 2208, 563, 3528, 1739, 713, 31387, 267, 9367, 666, 7930, 1628, 513, 2178, 5748, 267, 20647, 538, 9198, 894, 3642, 267, 543, 3251, 909, 3562, 15082, 609, 519, 5767, 7760, 538, 713, 3078, 543, 6385, 9687, 2361, 563, 1103, 3932, 267, 30462, 3642, 568, 606, 25713, 15564, 25378, 2361, 609, 10373, 1761, 543, 14767, 547, 22499, 1585, 3344, 540, 938, 2729, 269, 1306, 596, 7832, 593, 707, 3460, 547, 1831, 513, 30462, 3642, 4274, 267, 3314, 602, 1565, 267, 19234, 267, 543, 9363, 4448, 609, 519, 3642, 2146, 786, 581, 707, 10569, 547, 1967, 269, 0, 763, 11588, 540, 670, 10884, 281, 4208, 1411, 9701, 12231, 519, 3004, 2812, 454, 16498, 2657, 11588, 540, 670, 10884, 454, 295, 10884, 3091, 513, 21318, 540, 2168, 1072, 2640, 602, 666, 2087, 707, 2949, 1134 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 525, 547, 519, 3490, 3029, 540, 1913, 2164, 538, 519, 5137, 540, 1007, 1913, 538, 2296, 269, 12989, 616, 11192, 476, 1556, 1913, 7736, 532, 609, 28787, 630, 306, 4428, 1460, 1040, 645, 269, 7454, 8382, 585, 22206, 1460, 2060, 1412, 8010, 262, 2107, 1412, 322, 944, 262, 9061, 5320, 1849, 826, 269, 6478, 5250, 18772, 525, 282, 589, 18772, 568, 3989, 607, 513, 4484, 610, 1895, 540, 5022, 602, 649, 1039, 547, 519, 4098, 540, 513, 2262, 547, 1106, 1007, 1913, 269, 5853, 476, 5002, 1913, 602, 1439, 538, 2531, 269, 2296, 2776, 25785, 525, 1656, 22206, 1460, 525, 269, 4804, 519, 10096, 540, 18772, 525, 543, 21879, 525, 786, 948, 4228, 707, 6863, 267, 799, 786, 2560, 22206, 1460, 525, 616, 513, 4484, 610, 1895, 540, 5022, 3773, 547, 519, 10678, 540, 1913, 547, 1689, 741, 2495, 610, 1599, 269, 2776, 25785, 525, 910, 2296, 18049, 4653, 910, 513, 4704, 547, 2854, 543, 9275, 2296, 8239, 543, 6165, 910, 11062, 9218, 6478, 5250, 21879, 525, 910, 995, 543, 910, 1652, 269, 589, 21879, 568, 513, 2262, 851, 3773, 547, 519, 1439, 540, 513, 2262, 602, 2242, 519, 2262, 779, 2495, 269, 18049, 269, 25873, 938, 2480, 4599, 1076, 6478, 4855, 518, 267, 9293, 2060, 14886, 31376, 8675, 267, 543, 6478, 29878, 2262, 24626, 547, 1265, 1913, 602, 1439, 609, 610, 269, 7726, 476, 1724, 269, 1358, 616, 711, 1913, 538, 741, 1378, 1318, 543, 3112, 1796, 593, 741, 1378, 538, 513, 4845, 281, 952, 789, 616, 9102, 593, 741, 1378, 789, 723, 513, 3834, 1156, 1354, 610, 1310, 873, 907, 2776, 25785, 525, 476, 273, 476, 274, 476, 275, 476, 272, 269, 2107, 946, 938, 24296, 322, 1090, 1076, 2262, 24626, 547, 1265, 707, 1655, 2009, 1404, 256, 5853, 476, 29024, 275, 1913, 602, 1439, 538, 610, 269, 1401, 8526, 1331, 4946, 519, 21879, 525, 834, 748, 257, 543, 834, 762, 257, 547, 1913, 602, 1439, 538, 834, 576, 257, 610, 834, 613, 2437, 1519, 30891, 748, 267, 18476, 543, 10250, 762, 269, 9293, 609, 22206, 1460, 525, 13689, 593, 2436, 621, 568, 513, 10902, 267, 8231, 267, 18781, 610, 30163, 267, 513, 1114, 21879, 1131, 581, 2838, 269, 634, 21879, 910, 1652, 267, 2495, 834, 23719, 2437, 568, 3773, 547, 17205, 543, 13450, 547, 1106, 21371, 269, 630, 16386, 542, 264, 630, 29729, 264, 3616, 541, 24265, 562, 325, 9930, 3691, 3185, 523, 3626, 281, 590, 755, 656, 16343, 632, 575, 2946, 1676, 334, 608, 1816, 643, 3512, 324, 3185, 523, 3626, 267, 6446, 561, 4582, 320, 17485, 1148, 6403, 1529, 657, 3288, 522, 19448, 679, 13737, 267, 586, 15255, 522, 796, 553, 679, 12683, 269, 5440, 1079, 4484, 610, 811, 18772, 525, 267, 21879, 543, 18772, 21879, 1592, 609, 476, 1911, 610, 811, 1913, 538, 519, 2296, 1893, 269, 13575, 267, 649, 946, 18772, 525, 543, 21879, 525, 547, 1118, 1007, 1913, 269, 6258, 891, 1913, 602, 1331, 519, 21879, 910, 995, 269, 6478, 19725, 910, 7300, 6096, 585, 2296, 5678, 22996, 910, 16592, 2987, 23059, 5426, 630, 289, 273, 264, 1160, 1597, 1353, 2409, 267, 18965, 676, 13261, 543, 25191, 18006, 267, 1118, 1913, 968, 22496, 1848, 1715, 1913, 2490, 883, 6863, 602, 7575, 596, 4464, 269, 2561, 324, 2718, 3409, 3954, 10118, 22206, 1460, 525, 22206, 1460, 525, 616, 2262, 2694, 602, 616, 8580, 334, 1441, 609, 513, 3597, 2262, 563, 306, 2378, 328, 262, 10202, 10216, 4258, 520, 5422, 267, 21541, 19159, 19534, 267, 744, 12549, 320, 570, 341, 853, 725, 267, 476, 1839, 932, 5407, 1695, 7345, 20000, 267, 932, 5407, 1695, 267, 2098, 320, 515, 518, 16679, 769, 6904, 594, 680, 12243, 476, 1001, 280, 267, 8834, 670, 1157, 2006, 3794, 537, 31569, 9365, 267, 30037, 9605, 3630, 576, 22335, 267, 16737, 23014, 700, 617, 2471, 1772, 548, 2986, 2494, 267, 0, 17357, 517, 776, 1488, 6670, 1635, 10139, 281, 13880, 673, 3797, 540, 29769, 545, 18337, 16050, 2068, 6913, 676, 21910, 532, 513, 3296, 540, 18682, 1156, 748, 18916, 267, 4835, 7882, 776, 16050, 267, 610, 824, 12990, 1063, 519, 513, 677, 320, 543, 519, 29572, 539, 18337, 16050, 30218, 547, 519, 30126, 27295, 5861, 528, 517, 776, 1488, 6670, 1635, 10139, 267, 5510, 6261, 2794, 281, 20840, 776, 16050, 21271, 6391, 593, 513, 25588, 16777, 11286, 1510, 513, 27334, 14888, 8008, 8085, 300, 2177, 14473, 15760, 303, 19798, 630, 323, 1853, 1154, 519, 2095, 540, 1973, 689, 519, 2295, 543, 9641, 998, 606, 5135, 1807, 1040, 17357, 517, 776, 1488, 6670, 8376, 281, 11202, 1670, 3157, 540, 2910, 305, 2177, 14473, 8121, 9898, 22494, 602, 949, 17589, 689, 513, 22787, 25983, 1275, 267, 19473, 4592, 13406, 5328, 267, 610, 1875, 268, 7752, 4592, 13406, 5328, 2014, 10422, 12149, 1054, 528, 1314, 267, 14464, 281, 769, 20287, 540, 2011, 610, 513, 811, 7444, 12842, 3154, 971, 607, 9436, 267, 883, 519, 623, 4041, 7838, 3201, 11404, 309, 14510, 547, 12900, 519, 5761, 5861, 528, 517, 776, 26751, 17632, 281, 634, 15532, 543, 16209, 540, 519, 16777, 11286, 5861, 731, 13519, 13880, 673, 30332, 281, 17889, 5340, 593, 519, 2295, 5861, 528, 517, 776, 4911, 25086, 281, 7101, 25086, 540, 519, 15466, 1062, 540, 519, 2295, 4887, 1310, 13297, 540, 513, 4334, 5420, 269, 8070, 10869, 1290, 4124, 281, 11202, 11043, 3157, 602, 1860, 2550, 1310, 513, 10551, 5650, 269, 1358, 949, 610, 949, 711, 581, 1644, 547, 519, 2068, 585, 799, 519, 6391, 729, 2944, 267, 543, 789, 949, 610, 949, 711, 581, 1463, 2164, 540, 519, 6391, 5861, 731, 11340, 592, 14004, 1635, 10139, 281, 667, 1392, 542, 540, 519, 2095, 540, 1973, 689, 519, 13675, 540, 519, 1318, 693, 8922, 2047, 547, 519, 513, 677, 320, 630, 528, 3185, 7394, 16050, 264, 3842, 606, 5135, 1807, 3976, 21271, 532, 1312, 519, 2295, 543, 9641, 11053, 13015, 4934, 2492, 281, 16214, 17298, 547, 2708, 519, 2164, 610, 4539, 540, 2359, 543, 5773, 1031, 538, 28530, 2068, 538, 1931, 547, 3313, 519, 12117, 267, 7145, 267, 3106, 267, 543, 1316, 545, 1464, 540, 891, 7459, 538, 1367, 2665, 610, 3126, 5861, 528, 517, 776, 8376, 281, 1323, 19261, 1063, 26961, 658, 6198, 4170, 543, 519, 4390, 540, 519, 2910, 305, 2177, 14473, 966, 8577, 30600, 547, 3761, 6190, 1973, 2095, 269, 898, 568, 513, 1106, 540, 31253, 8016, 2752, 14888, 3201, 4959, 290, 4047, 300, 8656, 630, 1231, 11211, 1973, 3761, 547, 519, 2295, 4887, 264, 3361, 676, 513, 8519, 4390, 540, 519, 18337, 8043, 6993, 978, 328, 6955, 7360, 267, 11831, 3019, 267, 20840, 776, 281, 667, 7976, 540, 606, 29473, 7672, 18337, 16050, 630, 528, 16209, 264, 676, 1797, 540, 513, 17891, 29259, 547, 11177, 26961, 658, 1973, 3761, 5861, 528, 517, 776, 19449, 27218, 281, 634, 10009, 540, 1973, 998, 519, 2910, 305, 2177, 14473, 966, 8577, 30600, 540, 519, 16777, 11286, 5861, 528, 517, 776, 853, 523, 2670, 281, 715, 5535, 532, 610, 1526, 9689, 540, 513, 18337, 16050, 8160, 2459, 776, 1488, 23065, 281, 1488, 23065, 23608, 689, 519, 1016, 743, 822, 1014, 610, 4949, 16736, 16209, 543, 26084, 547, 519, 18751, 5247, 25714, 3774, 267, 18657, 770, 1400, 3889, 267, 29690, 267, 533, 624, 7394, 6091, 543, 7882, 776, 14189, 11053, 830, 11790, 281, 15689, 540, 3908, 942, 11996, 267, 7700, 547, 1880, 2164, 610, 3871, 269, 3682, 338, 8826, 5525, 281, 9866, 3569, 540, 513, 2551, 585, 513, 6190, 1297, 540, 7606, 936, 513, 6190, 1297, 540, 1296, 547, 5352, 11841, 610, 9019, 3928, 7766, 547, 519, 5542, 540, 519, 1353, 1895, 269, 6635, 23065, 281, 634, 8043, 8876, 1973, 2476, 689, 519, 2295, 269, 7069, 18201, 658, 5606, 541, 794, 281, 715, 4488, 4629, 306, 3041, 540, 519, 31253, 8016, 2752, 14888, 9331, 3361, 676, 606, 25518, 540, 519, 1973, 3761, 547, 519, 2295, 630, 290, 3036, 2177, 14473, 595, 7644, 290, 308, 6369, 3582, 1040, 8070, 10869, 11270, 281, 634, 1974, 1739, 513, 10551, 5106, 10611, 7416, 11790, 281, 1323, 2460, 540, 2123, 2623, 610, 6197, 267, 2825, 4598, 267, 610, 538, 9799, 610, 15110, 8984, 267, 799, 267, 593, 519, 4493, 540, 16917, 328, 11043, 2963, 267, 568, 1634, 547, 581, 2404, 609, 513, 1072, 5829, 2783, 2808, 1271, 547, 2061, 269, 10287, 268, 10000, 5525, 281, 5525, 538, 799, 2043, 610, 5095, 616, 4553, 547, 2708, 519, 6364, 540, 23927, 267, 5773, 267, 610, 2360, 540, 513, 8984, 267, 552, 3052, 1421, 12136, 540, 2068, 2529, 777, 1156, 748, 26890, 514, 281, 634, 18916, 799, 28368, 519, 3723, 543, 1850, 10611, 564, 4592, 8826, 5525, 281, 5525, 1031, 547, 1449, 1696, 328, 11043, 19165, 538, 799, 31921, 827, 606, 4598, 547, 2322, 894, 21465, 2188, 616, 6508, 689, 1239, 11341, 547, 4162, 540, 7606, 896, 1353, 610, 547, 2621, 610, 2833, 538, 741, 2250, 269, 634, 1898, 4183, 568, 602, 930, 540, 519, 7606, 896, 1353, 723, 519, 2068, 610, 6364, 540, 1719, 543, 741, 4162, 616, 3379, 609, 1346, 540, 19448, 26327, 7606, 269, 1320, 528, 25714, 17889, 281, 589, 10551, 20614, 7255, 609, 5868, 543, 2126, 540, 4713, 540, 519, 2295, 267, 9641, 267, 543, 24647, 269, 5565, 2101, 2010, 540, 5247, 25714, 6391, 616, 9286, 607, 17422, 543, 9025, 16638, 4156, 26495, 776, 4211, 528, 517, 776, 1488, 6670, 1323, 770, 558, 2670, 281, 6034, 26961, 658, 2847, 6018, 1436, 538, 799, 519, 4835, 7882, 776, 16050, 568, 606, 770, 558, 2216, 547, 519, 1318, 18337, 16050, 267, 4931, 325, 2716, 16050, 267, 610, 18751, 27312, 18337, 16050, 269, 634, 4835, 7882, 776, 16050, 568, 519, 1034, 7928, 3903, 267, 2523, 585, 513, 2582, 21910, 267, 585, 18337, 16050, 21271, 6391, 269, 29587, 1488, 6135, 267, 1473, 340, 1027, 281, 589, 5650, 547, 3247, 519, 19432, 540, 31253, 8016, 2752, 14888, 9331, 1282, 16777, 11286, 590, 7838, 294, 28475, 269, 898, 568, 2356, 6913, 609, 519, 946, 540, 6464, 630, 290, 2752, 14888, 8008, 4041, 294, 2975, 25663, 308, 16739, 264, 610, 4411, 2837, 630, 7945, 607, 669, 2683, 13526, 639, 622, 1040, 295, 2214, 1388, 18200, 1275, 281, 589, 4105, 18802, 7893, 610, 10916, 519, 2557, 540, 2669, 689, 1022, 2014, 538, 32509, 5095, 10611, 7416, 10495, 281, 634, 12007, 610, 11050, 16759, 540, 519, 10171, 540, 8801, 2360, 602, 949, 1267, 689, 4598, 547, 9138, 1072, 10898, 610, 689, 519, 9000, 540, 6225, 7506, 269, 630, 8310, 267, 9218, 540, 25731, 5735, 267, 476, 2735, 279, 264, 20238, 658, 1488, 6670, 281, 634, 1463, 27402, 540, 519, 2909, 577, 658, 17657, 267, 23608, 693, 519, 536, 604, 584, 322, 566, 540, 519, 2909, 577, 658, 16050, 6587, 519, 8405, 540, 519, 8953, 269, 4706, 8371, 949, 581, 5258, 883, 1614, 2516, 7222, 547, 519, 1614, 4525, 538, 799, 519, 6077, 568, 13883, 267, 519, 2062, 1301, 267, 21015, 267, 543, 1688, 2529, 1181, 636, 281, 589, 1279, 267, 7522, 267, 543, 6366, 5642, 4122, 1634, 607, 645, 3918, 17129, 289, 24535, 9648, 538, 519, 4571, 7611, 540, 519, 18751, 5247, 25714, 10126, 610, 9221, 3148, 267, 799, 11689, 3278, 519, 10775, 21799, 543, 5713, 607, 519, 1448, 540, 5169, 585, 1896, 6091, 602, 1847, 519, 7916, 267, 2212, 267, 543, 8405, 269, 7069, 18201, 658, 4860, 6018, 1436, 281, 634, 11808, 540, 1973, 3761, 547, 519, 26961, 1756, 269, 630, 5804, 16910, 1633, 267, 476, 2764, 628, 1196, 264, 7069, 18201, 658, 1772, 17057, 807, 281, 589, 4524, 540, 13487, 1599, 3361, 676, 13385, 1973, 2095, 547, 519, 4887, 5160, 540, 519, 2295, 269, 634, 8519, 1973, 2095, 949, 581, 1813, 547, 32560, 540, 519, 18337, 16209, 630, 290, 3036, 2177, 14473, 8121, 9898, 312, 20591, 292, 17955, 1070, 547, 25518, 676, 513, 24405, 639, 630, 290, 3036, 2177, 14473, 8946, 4629, 11586, 5308, 3041, 1070, 610, 1447, 4122, 267, 547, 27556, 32560, 540, 12091, 2723, 525, 543, 824, 1507, 8043, 1369, 519, 2295, 269, 27275, 954, 8306, 540, 519, 1973, 3761, 547, 519, 26961, 658, 5160, 949, 1267, 538, 27394, 15727, 540, 13487, 4887, 630, 300, 312, 8016, 2752, 14888, 3201, 5442, 293, 2752, 290, 3582, 1040, 294, 2761, 744, 322, 2424, 267, 966, 6018, 281, 26861, 2315, 540, 2095, 538, 6211, 610, 14382, 4854, 15466, 21910, 338, 17679, 6018, 4793, 1890, 281, 634, 4110, 547, 799, 19154, 302, 7495, 966, 8577, 30600, 616, 711, 17808, 610, 29572, 539, 5861, 528, 517, 776, 589, 928, 584, 903, 332, 281, 2806, 7538, 17891, 268, 610, 5485, 6438, 8920, 520, 566, 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 ]
[ 0, 8139, 519, 4826, 21145, 9596, 811, 827, 519, 1114, 1216, 3441, 6688, 563, 8139, 519, 4826, 28100, 21145, 454, 2691, 7231, 609, 513, 6360, 610, 1216, 2530, 538, 707, 1753, 267, 835, 540, 519, 1919, 596, 3580, 5873, 707, 1216, 3441, 25255, 543, 6142, 6811, 4188, 518, 3277, 547, 568, 519, 7121, 540, 519, 2530, 269, 901, 568, 606, 1271, 4062, 540, 1344, 607, 621, 9247, 10274, 782, 6105, 3238, 3823, 2816, 3877, 899, 1018, 1826, 540, 3937, 568, 2877, 267, 666, 519, 24095, 267, 3819, 13665, 267, 2182, 6229, 338, 3092, 269, 2507, 581, 10710, 610, 798, 789, 991, 547, 581, 6569, 267, 1018, 1377, 540, 7738, 568, 2877, 1310, 519, 1216, 568, 6569, 543, 811, 269, 12989, 649, 3580, 1865, 930, 9238, 540, 1216, 7121, 563, 12850, 21145, 585, 11162, 1575, 8830, 5099, 454, 8245, 2952, 2322, 267, 1216, 7121, 4016, 547, 519, 27194, 540, 519, 1216, 602, 814, 4299, 707, 3959, 269, 1703, 616, 1082, 2188, 602, 666, 3565, 547, 519, 1216, 7121, 543, 1256, 1689, 621, 562, 930, 8320, 269, 12085, 899, 519, 2707, 540, 519, 1216, 267, 519, 3259, 540, 942, 2326, 723, 1044, 6632, 543, 519, 840, 25365, 2175, 540, 519, 4299, 1858, 782, 616, 2101, 20334, 547, 519, 1216, 7121, 8990, 563, 32051, 2290, 4826, 28100, 454, 763, 21145, 594, 1216, 7121, 4564, 519, 2973, 652, 540, 782, 2009, 1216, 14796, 563, 23777, 673, 2959, 540, 7121, 835, 14700, 1331, 3761, 3515, 547, 7622, 3688, 899, 14023, 2209, 267, 8670, 13195, 1667, 267, 29826, 267, 30079, 543, 11067, 6191, 563, 32051, 594, 4826, 28100, 2882, 9271, 1141, 782, 2326, 949, 581, 2111, 547, 581, 12015, 538, 1747, 952, 1978, 2175, 899, 6632, 13471, 3297, 519, 3819, 13665, 610, 3574, 19683, 602, 616, 2112, 6244, 3564, 9494, 1810, 1406, 2291, 269, 589, 2973, 1216, 2707, 2705, 1281, 711, 2141, 3160, 513, 7121, 835, 2530, 563, 26502, 971, 607, 2175, 538, 519, 1604, 602, 519, 1216, 814, 5293, 998, 543, 3259, 540, 942, 1114, 2326, 723, 1044, 6632, 666, 3533, 1689, 519, 7121, 689, 513, 835, 547, 513, 1079, 610, 1256, 513, 1614, 563, 32051, 5565, 4826, 28100, 454, 32051, 4083, 1216, 267, 1419, 1572, 12457, 1216, 267, 666, 2097, 689, 513, 3099, 540, 7622, 2959, 563, 1607, 1216, 3568, 513, 1713, 1377, 540, 12526, 543, 1223, 2014, 2800, 547, 31269, 540, 519, 3959, 269, 30003, 2959, 585, 12457, 1216, 9271, 1331, 16003, 24492, 338, 630, 2254, 8963, 1394, 5725, 1070, 11067, 3684, 24492, 338, 543, 8670, 13195, 615, 24492, 338, 269, 1306, 5018, 1657, 267, 1978, 2188, 666, 849, 2490, 7121, 835, 2707, 883, 7121, 1079, 9271, 563, 26807, 3268, 1058, 581, 3144, 538, 513, 7121, 1079, 2530, 602, 798, 711, 991, 547, 581, 2944, 538, 513, 7121, 835, 2530, 602, 616, 1271, 585, 7863, 519, 1072, 540, 519, 3959, 31269, 543, 8436, 563, 3080, 1383, 540, 891, 3268, 2882, 8851, 540, 24095, 14950, 952, 519, 24095, 568, 4299, 269, 15394, 519, 24095, 666, 581, 19345, 543, 10710, 855, 519, 14950, 1058, 2141, 581, 6569, 538, 513, 7121, 1079, 1216, 3441, 563, 5194, 1383, 540, 513, 2877, 1900, 1131, 581, 519, 7738, 543, 24846, 1944, 540, 519, 2326, 602, 616, 711, 6569, 543, 602, 2011, 3350, 786, 581, 5116, 593, 269, 6884, 621, 568, 3617, 946, 606, 2011, 28103, 828, 607, 1134, 547, 2973, 519, 11255, 2011, 538, 543, 1472, 519, 4299, 1858, 540, 707, 1753, 563, 32051, 8422, 4826, 28100, 454, 32051, 8633, 4826, 568, 2808, 14407, 569, 13572, 563, 1607, 1216, 949, 2270, 5233, 3394, 545, 267, 23633, 543, 824, 5739, 4551, 543, 666, 10460, 607, 3978, 1981, 547, 519, 1072, 540, 519, 31269, 1519, 3978, 4576, 543, 2669, 269, 769, 513, 7121, 1614, 2530, 782, 4299, 24338, 543, 10859, 24338, 2326, 1058, 581, 6569, 609, 519, 6967, 7293, 2326, 8499, 19345, 543, 24846, 1242, 563, 5278, 1383, 540, 891, 24338, 543, 10859, 24338, 2326, 602, 1590, 581, 6569, 547, 5265, 11574, 519, 3441, 543, 2149, 707, 1072, 1331, 519, 24095, 267, 14950, 543, 8214, 14816, 267, 4299, 3819, 13665, 267, 3574, 32466, 543, 678, 13903, 563, 763, 3617, 946, 540, 2011, 28103, 1499, 543, 2942, 2011, 1058, 581, 1031, 2059, 609, 5627, 1055, 519, 4299, 1858, 689, 519, 19448, 26327, 2127, 540, 519, 1753, 269, 16952, 2533, 899, 519, 7738, 540, 519, 2011, 28954, 949, 849, 581, 2877, 563, 2252, 596, 723, 6360, 610, 1216, 2530, 538, 707, 1753, 543, 1131, 899, 948, 7114, 519, 7121, 2285, 721, 513, 1289, 269, 1284, 666, 711, 1152, 2697, 519, 7121, 540, 519, 3441, 585, 596, 649, 849, 616, 6126, 547, 1683, 513, 1863, 14791, 543, 7447, 547, 5265, 11574, 621, 865, 602, 707, 6068, 3283, 543, 3959, 616, 1134, 6870, 269, 0, 19442, 5775, 26833, 5999, 585, 519, 1888, 1160, 1636, 687, 454, 3682, 1636, 687, 15165, 3575, 454, 604, 2576, 22179, 476, 8099, 7273, 543, 5932, 476, 32133, 7273, 540, 3196, 950, 17259, 1287, 875, 1082, 7273, 540, 3196, 786, 581, 2813, 950, 2576, 945, 22179, 476, 8182, 7273, 26357, 888, 1692, 547, 7941, 1978, 2179, 8167, 2299, 547, 21376, 2338, 454, 288, 1957, 27054, 1457, 666, 27054, 476, 2568, 9212, 540, 1957, 538, 476, 274, 3764, 269, 1215, 1082, 3764, 786, 621, 1491, 519, 1957, 27054, 1457, 547, 27054, 476, 4037, 9212, 540, 1957, 888, 763, 631, 25830, 5211, 568, 476, 275, 4792, 5195, 1279, 269, 634, 670, 1993, 2006, 5211, 568, 827, 476, 10602, 260, 540, 519, 3259, 540, 751, 327, 631, 25830, 5211, 269, 1215, 1279, 568, 519, 670, 1993, 2006, 5211, 888, 1432, 781, 519, 5934, 1297, 540, 7693, 7452, 619, 2877, 547, 2347, 519, 2816, 538, 476, 276, 3108, 888, 275, 22538, 2678, 807, 4600, 1500, 476, 3199, 561, 31708, 1063, 873, 269, 476, 3374, 260, 540, 519, 5070, 3369, 545, 1127, 941, 8423, 267, 875, 540, 519, 5070, 3369, 545, 1127, 616, 8423, 454, 8196, 513, 8167, 547, 1265, 519, 1858, 540, 5858, 623, 269, 17781, 623, 814, 513, 8562, 10179, 1338, 540, 476, 2190, 4699, 267, 17781, 670, 814, 513, 18592, 540, 476, 1789, 9492, 563, 7628, 835, 4005, 267, 513, 14912, 6345, 1500, 476, 31874, 540, 476, 278, 4792, 1863, 25001, 269, 2311, 602, 2557, 267, 875, 1082, 1863, 25001, 1131, 519, 6345, 1118, 538, 1776, 476, 7785, 8942, 563, 320, 476, 279, 269, 275, 1111, 7381, 4816, 30539, 11738, 5641, 338, 513, 476, 4366, 269, 278, 10264, 1279, 14692, 267, 1287, 875, 1279, 568, 519, 14692, 602, 513, 476, 1626, 269, 273, 10264, 7381, 18533, 5641, 338, 286, 5590, 909, 513, 8167, 547, 4194, 713, 1966, 563, 4375, 2600, 540, 14769, 9782, 476, 276, 269, 279, 260, 543, 476, 8618, 2600, 540, 14769, 9782, 476, 274, 269, 279, 10065, 1548, 568, 3328, 2600, 4473, 888, 26855, 1803, 666, 1224, 476, 278, 3817, 540, 1010, 1433, 538, 538, 2947, 3764, 269, 2311, 602, 2557, 267, 17761, 1082, 3817, 666, 646, 1224, 538, 476, 273, 3108, 888, 27880, 5249, 476, 1015, 811, 3108, 982, 21013, 269, 1403, 8861, 5249, 476, 278, 32162, 585, 1169, 476, 273, 32162, 21013, 5249, 267, 875, 1279, 1705, 789, 1142, 960, 888, 16215, 2557, 547, 2328, 606, 3830, 454, 10521, 12730, 616, 2147, 538, 8167, 269, 2290, 6906, 814, 5011, 540, 476, 274, 267, 476, 275, 267, 543, 476, 276, 6279, 519, 824, 6906, 814, 5011, 540, 1535, 267, 476, 1015, 543, 586, 269, 16534, 585, 1535, 563, 303, 2075, 757, 543, 17114, 454, 288, 11832, 666, 3640, 476, 13893, 10833, 540, 695, 16630, 538, 476, 274, 3108, 269, 2311, 713, 2557, 267, 875, 1279, 1131, 646, 1491, 547, 3640, 476, 13301, 10833, 540, 695, 16630, 888, 8253, 2386, 875, 547, 798, 713, 269, 5620, 6836, 2789, 2053, 454, 6635, 10379, 543, 23531, 454, 320, 3542, 540, 476, 8182, 271, 17037, 538, 835, 8664, 4951, 602, 476, 8287, 260, 540, 873, 1131, 3870, 7453, 675, 7784, 1852, 4031, 563, 15276, 609, 2243, 0, 11045, 11915, 7698, 8243, 26163, 268, 2190, 268, 30203, 7871, 1606, 9826, 269, 6931, 1961, 545, 3679, 630, 6369, 267, 476, 1240, 281, 273, 264, 543, 17788, 730, 13274, 1961, 545, 3679, 630, 290, 6369, 264, 723, 2907, 1044, 19788, 1713, 1719, 1317, 540, 741, 1761, 1072, 5383, 267, 971, 607, 3354, 1996, 15910, 14003, 267, 4389, 2179, 540, 19473, 29912, 15087, 267, 21045, 3170, 25244, 267, 4550, 5409, 3273, 6856, 1961, 6193, 2164, 267, 543, 12046, 6454, 609, 21800, 22887, 6672, 540, 16698, 1496, 272, 267, 273, 267, 274, 267, 275, 4940, 769, 6476, 547, 15829, 267, 595, 6369, 666, 9004, 9211, 610, 7250, 8444, 547, 1711, 1863, 18119, 18334, 267, 602, 2306, 621, 1256, 811, 642, 684, 30514, 547, 16617, 6547, 543, 1256, 811, 31127, 17615, 1547, 595, 6369, 568, 7363, 513, 4759, 540, 1920, 540, 606, 25819, 540, 2990, 531, 543, 12166, 568, 12002, 540, 15829, 1141, 519, 1079, 12242, 7554, 616, 17788, 730, 269, 769, 1915, 267, 595, 6369, 568, 7363, 1369, 5779, 543, 5144, 2472, 6902, 18562, 267, 519, 1445, 538, 1426, 560, 32332, 568, 7363, 13385, 585, 1175, 827, 1022, 9354, 813, 610, 8192, 4170, 269, 589, 4264, 3903, 568, 547, 1711, 595, 6369, 2786, 14298, 311, 280, 689, 10731, 543, 7791, 7221, 998, 10894, 4702, 543, 5841, 7350, 2553, 267, 799, 6799, 1082, 5383, 899, 513, 2110, 8600, 4783, 267, 1454, 1447, 4074, 10421, 267, 8519, 5222, 540, 1747, 267, 1974, 543, 2916, 538, 6476, 547, 1866, 2994, 6902, 2705, 267, 1851, 519, 2042, 568, 2870, 513, 15451, 18463, 585, 1164, 6221, 11729, 689, 20522, 22120, 1963, 269, 11153, 14471, 723, 2907, 1044, 3989, 607, 1761, 595, 6369, 15670, 269, 1717, 267, 519, 5232, 540, 595, 6369, 5137, 616, 9425, 1970, 1496, 279, 267, 280, 4940, 898, 2731, 568, 2442, 602, 595, 6369, 568, 7363, 2813, 689, 15829, 998, 15829, 568, 9593, 848, 269, 634, 11118, 657, 4301, 15829, 568, 9593, 848, 3812, 689, 630, 5183, 296, 264, 602, 623, 5746, 268, 27628, 4792, 32635, 28166, 949, 5352, 9067, 848, 630, 4629, 299, 264, 1185, 1044, 2919, 585, 15175, 2030, 1898, 3282, 883, 595, 6369, 267, 543, 519, 7222, 7004, 5223, 540, 15829, 547, 595, 6369, 729, 476, 3445, 269, 276, 260, 1496, 1556, 267, 1321, 4940, 4634, 865, 267, 519, 1164, 3902, 540, 11747, 8600, 7687, 519, 10626, 540, 519, 1184, 269, 769, 519, 29291, 267, 607, 606, 522, 548, 698, 29532, 13803, 267, 2488, 1044, 9833, 623, 5746, 268, 27628, 4792, 32635, 28166, 607, 513, 1761, 32358, 607, 513, 1062, 11248, 585, 5140, 595, 6369, 2504, 267, 1813, 547, 922, 1164, 20188, 5137, 2557, 630, 1952, 549, 2286, 476, 3445, 260, 540, 1591, 12015, 856, 6550, 264, 609, 513, 2362, 8167, 540, 522, 548, 545, 3679, 630, 29151, 267, 476, 1240, 281, 272, 264, 543, 15829, 538, 519, 9761, 3679, 5888, 543, 1360, 2312, 4719, 1686, 1496, 1724, 267, 1691, 267, 1428, 4940, 634, 29296, 26307, 540, 949, 581, 1031, 607, 22120, 1963, 585, 7686, 19342, 5137, 623, 5746, 268, 27628, 4792, 32635, 28166, 543, 786, 849, 581, 8246, 585, 17580, 1898, 3282, 5137, 607, 1455, 17724, 773, 3282, 1813, 547, 519, 1426, 4027, 269, 634, 29296, 26307, 540, 519, 13803, 616, 5631, 29314, 543, 15829, 267, 799, 29314, 2306, 909, 827, 1472, 476, 2004, 260, 540, 519, 2407, 2698, 9761, 3679, 1543, 1570, 543, 15829, 2306, 909, 827, 3592, 476, 1428, 290, 736, 260, 540, 519, 2407, 2698, 9761, 3679, 1543, 1570, 1496, 1691, 267, 1626, 4940, 595, 6369, 2504, 1223, 581, 3648, 2799, 676, 13321, 29314, 883, 15829, 269, 15829, 1223, 581, 24704, 689, 29314, 998, 476, 1321, 964, 4405, 848, 689, 630, 7246, 1321, 291, 1040, 5221, 540, 922, 1134, 24713, 1221, 20188, 10894, 1184, 267, 519, 1713, 5542, 540, 4719, 3937, 543, 513, 4625, 3524, 10642, 11646, 267, 814, 5828, 883, 513, 2203, 522, 548, 698, 29532, 13803, 585, 519, 5137, 540, 26307, 543, 20188, 23402, 6915, 30669, 269, 634, 6165, 540, 519, 522, 548, 698, 29532, 13803, 5383, 689, 922, 1134, 29931, 730, 3937, 585, 4702, 519, 20188, 10894, 13374, 267, 799, 2249, 666, 2981, 20522, 2067, 9848, 1356, 565, 3812, 689, 7686, 19342, 5137, 883, 1164, 17032, 3688, 971, 607, 585, 1383, 595, 6369, 269, 5015, 547, 7280, 610, 3170, 267, 2067, 9848, 1356, 565, 666, 4196, 607, 519, 1152, 1483, 3327, 585, 5736, 540, 513, 1390, 4308, 540, 1164, 1871, 14194, 4765, 3114, 6878, 267, 971, 607, 585, 1383, 18325, 268, 6369, 267, 13284, 514, 1961, 545, 3679 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2878, 12648, 1018, 596, 991, 1753, 952, 596, 991, 547, 960, 593, 707, 25644, 8627, 0, 302, 24249, 5576, 785, 2401, 729, 782, 602, 11542, 1063, 873, 543, 2669, 693, 519, 3946, 540, 519, 21647, 269, 589, 812, 782, 1932, 1480, 267, 2407, 540, 20924, 899, 519, 1964, 540, 721, 269, 634, 796, 331, 1731, 601, 5006, 540, 782, 1909, 3631, 910, 513, 13303, 267, 513, 4807, 529, 528, 267, 513, 2112, 1527, 924, 518, 269, 1323, 8723, 812, 945, 12943, 519, 1289, 540, 25903, 269, 4634, 538, 519, 10782, 540, 6381, 30546, 5576, 785, 2401, 1705, 9058, 1919, 267, 20083, 676, 1100, 835, 269, 1261, 7283, 3020, 547, 1010, 7642, 267, 519, 4600, 646, 5219, 547, 607, 1250, 1453, 269, 1261, 6854, 519, 9399, 856, 543, 3025, 9800, 563, 1103, 2038, 4989, 476, 1220, 280, 267, 513, 3327, 5299, 540, 835, 4528, 540, 519, 1592, 729, 4362, 693, 519, 3557, 7732, 540, 1715, 3162, 12986, 676, 4600, 2036, 532, 998, 10833, 540, 2326, 6394, 676, 2278, 7338, 918, 2940, 958, 269, 634, 476, 1724, 22240, 3561, 267, 5835, 543, 17866, 267, 729, 19429, 1851, 1382, 4967, 543, 3312, 11356, 804, 2089, 902, 269, 634, 3561, 729, 2016, 547, 918, 2940, 958, 538, 476, 2735, 271, 676, 623, 10623, 742, 518, 6199, 950, 646, 729, 7479, 8172, 1864, 547, 2328, 5576, 785, 2401, 781, 1650, 269, 901, 4528, 540, 519, 1592, 3568, 476, 3199, 272, 4408, 543, 568, 18584, 476, 1240, 4989, 476, 3707, 276, 282, 623, 10623, 742, 518, 6199, 568, 7396, 607, 11832, 1297, 476, 15876, 269, 11153, 8076, 8747, 540, 519, 1592, 2291, 267, 1317, 519, 4408, 941, 556, 268, 1399, 6244, 1896, 2053, 607, 2175, 4957, 538, 519, 646, 8157, 2395, 693, 519, 1439, 540, 519, 2112, 563, 3412, 9712, 2299, 2390, 21945, 693, 667, 778, 879, 267, 519, 1184, 540, 632, 16058, 1944, 14586, 3459, 269, 9093, 543, 2021, 941, 4174, 5529, 540, 782, 22590, 1519, 741, 9660, 799, 941, 8719, 609, 4174, 6244, 26977, 269, 4256, 4552, 729, 695, 8491, 543, 789, 941, 2016, 606, 8446, 1297, 609, 513, 11954, 6906, 547, 1397, 741, 7121, 269, 1724, 667, 778, 879, 729, 513, 4074, 3786, 267, 1034, 540, 519, 1082, 1016, 2275, 10102, 540, 667, 778, 879, 941, 3710, 609, 10553, 4074, 269, 634, 21647, 23699, 519, 10464, 4074, 676, 17849, 856, 14586, 547, 4357, 10909, 269, 29277, 619, 2760, 4607, 741, 13848, 267, 607, 519, 4357, 10909, 6976, 519, 21647, 2047, 585, 519, 4074, 269, 634, 960, 729, 1419, 5230, 4074, 543, 519, 18604, 543, 4731, 333, 712, 1639, 14586, 941, 2016, 2370, 1426, 543, 5030, 538, 5667, 534, 3202, 2175, 563, 2691, 519, 21647, 13026, 7262, 12996, 538, 476, 4350, 280, 267, 1079, 22188, 540, 14470, 7642, 910, 2342, 781, 4102, 6014, 2146, 910, 8593, 883, 741, 3946, 269, 634, 14470, 7642, 941, 17031, 909, 543, 5116, 538, 575, 515, 1777, 657, 267, 1141, 621, 568, 6059, 602, 476, 4335, 267, 1822, 1004, 5747, 540, 27781, 543, 2068, 269, 13303, 3609, 693, 713, 1448, 729, 6322, 693, 7142, 900, 12568, 543, 10072, 540, 519, 7642, 2864, 982, 2527, 12638, 267, 855, 1804, 2338, 941, 547, 5884, 998, 1140, 761, 542, 563, 5194, 1977, 693, 667, 778, 879, 593, 519, 1554, 519, 3786, 729, 5391, 23306, 729, 3223, 603, 674, 29234, 267, 945, 729, 513, 18279, 538, 1977, 4987, 267, 5665, 3297, 10546, 3515, 269, 4340, 547, 513, 3377, 2376, 676, 19375, 623, 895, 267, 3370, 538, 519, 808, 641, 4802, 31248, 593, 4989, 476, 3066, 267, 476, 1220, 280, 267, 674, 16307, 729, 9676, 593, 4989, 476, 3066, 267, 476, 3707, 275, 538, 15212, 543, 4371, 693, 667, 778, 879, 585, 476, 280, 3275, 1310, 1101, 1373, 23827, 730, 676, 519, 30123, 777, 334, 563, 317, 3943, 7642, 941, 3742, 538, 519, 3943, 18650, 269, 27098, 626, 7642, 4646, 519, 1488, 1889, 324, 4236, 633, 630, 297, 28779, 8136, 1070, 799, 15548, 538, 11439, 4187, 896, 513, 27098, 626, 9206, 267, 1159, 10212, 1194, 7642, 856, 540, 519, 2197, 267, 543, 15548, 538, 519, 19802, 540, 8303, 543, 824, 4872, 269, 1306, 1082, 607, 476, 272, 269, 276, 2929, 6014, 7980, 10692, 538, 519, 20466, 20679, 267, 1519, 476, 4335, 267, 1822, 538, 519, 4414, 8136, 267, 476, 20862, 267, 1822, 538, 519, 772, 2529, 269, 8136, 267, 476, 1911, 267, 1822, 538, 519, 14470, 7952, 267, 543, 476, 1789, 267, 1822, 538, 519, 3703, 7952, 269, 6168, 476, 1220, 267, 1822, 6014, 7980, 7674, 538, 519, 4414, 8136, 5747, 538, 519, 2112, 267, 2901, 538, 8396, 610, 1310, 7001, 269, 634, 6014, 23394, 1228, 267, 513, 1770, 540, 476, 276, 267, 1822, 6014, 13538, 689, 519, 3703, 13495, 622, 540, 21157, 267, 10692, 538, 519, 3703, 8136, 563, 763, 30123, 777, 334, 18486, 1864, 1896, 2053, 543, 23827, 730, 1864, 593, 10997, 540, 12150, 885, 543, 540, 7957, 1681, 7642, 269, 1717, 267, 5576, 785, 2401, 1131, 711, 964, 626, 269, 769, 476, 3707, 274, 267, 693, 519, 27592, 540, 519, 1977, 6014, 17434, 17392, 9730, 267, 646, 9333, 809, 513, 3810, 19408, 3460, 547, 14863, 777, 652, 267, 1141, 646, 1558, 609, 1079, 13222, 540, 23826, 4035, 787, 269, 1261, 4080, 547, 873, 827, 519, 26525, 726, 697, 540, 519, 7642, 538, 12996, 543, 5941, 2009, 2081, 540, 8323, 563, 21357, 6901, 5342, 593, 3786, 31852, 676, 519, 9399, 941, 1776, 10058, 4183, 269, 2311, 2547, 476, 278, 267, 1822, 14586, 941, 16271, 547, 6901, 282, 1034, 5747, 607, 513, 1267, 267, 1282, 519, 6901, 610, 2663, 269, 26062, 31644, 9972, 13500, 543, 824, 2564, 10986, 941, 9901, 693, 715, 675, 3088, 326, 267, 1310, 519, 2112, 267, 609, 10963, 1996, 8103, 269, 1358, 3769, 519, 2212, 540, 519, 4436, 4414, 9061, 267, 4557, 3293, 20485, 267, 16758, 19971, 267, 543, 24118, 3173, 269, 31401, 3576, 1747, 693, 26401, 267, 645, 1075, 1156, 342, 12245, 267, 667, 778, 879, 267, 14844, 345, 933, 8814, 268, 18360, 3578, 1993, 267, 3026, 340, 1263, 600, 1889, 267, 24497, 839, 1962, 6686, 1188, 267, 590, 778, 11420, 27346, 523, 267, 543, 11992, 269, 2368, 18808, 609, 10322, 16478, 540, 2367, 543, 2021, 267, 519, 2126, 540, 2112, 16398, 267, 2081, 547, 25559, 3114, 9604, 267, 1382, 883, 1007, 10074, 543, 5061, 267, 543, 519, 6668, 540, 10792, 2175, 563, 26944, 2103, 616, 5258, 827, 519, 18144, 540, 519, 2818, 540, 891, 5985, 11318, 4559, 269, 1977, 14787, 18332, 645, 20621, 4330, 835, 971, 1770, 267, 17318, 15506, 30119, 476, 6200, 267, 607, 8723, 2367, 538, 9058, 6381, 538, 799, 29077, 267, 9263, 2604, 267, 4876, 1143, 267, 24150, 547, 9753, 267, 543, 1895, 17604, 7930, 22848, 877, 5837, 7409, 1431, 269, 1977, 5856, 12253, 7108, 327, 10402, 9763, 519, 1360, 1482, 1770, 607, 968, 342, 3739, 11056, 619, 2223, 4687, 13609, 779, 5075, 540, 1024, 665, 10537, 4550, 4149, 30146, 543, 4466, 741, 4247, 18473, 855, 2556, 269, 634, 4763, 540, 519, 6146, 619, 814, 13934, 7108, 327, 10402, 779, 2070, 602, 519, 8404, 729, 513, 3982, 1106, 540, 4436, 4550, 4149, 30146, 269, 8616, 1312, 645, 20621, 543, 7108, 327, 10402, 598, 2017, 1042, 602, 9039, 540, 891, 6146, 619, 5185, 10751, 952, 646, 4280, 547, 581, 2300, 4310, 269, 15706, 1185, 513, 3903, 2436, 547, 7119, 610, 711, 269, 20290, 782, 8359, 547, 1831, 6146, 619, 563, 1103, 519, 4832, 540, 476, 3707, 274, 267, 853, 531, 698, 2473, 296, 4211, 630, 25313, 264, 729, 15702, 543, 19161, 523, 5174, 1564, 523, 2968, 513, 7936, 3786, 540, 853, 531, 698, 2473, 296, 5174, 269, 898, 6039, 607, 519, 6413, 585, 782, 8168, 31266, 338, 538, 519, 3148, 2394, 5130, 476, 3707, 276, 269, 4033, 31852, 270, 6312, 1801, 941, 7969, 4108, 954, 928, 525, 689, 4864, 476, 3707, 275, 543, 267, 1739, 519, 21109, 540, 519, 32160, 772, 19828, 538, 5239, 476, 3707, 275, 267, 1472, 476, 272, 267, 1822, 2818, 540, 519, 14470, 5851, 8136, 941, 29802, 538, 513, 5094, 3296, 540, 519, 31266, 3786, 269, 0, 8133, 269, 1703, 2010, 3769, 2052, 12061, 267, 1215, 6308, 619, 543, 18200, 1513, 269, 2368, 666, 12061, 1185, 5347, 1630, 637, 3330, 519, 22902, 543, 2663, 3283, 941, 20711, 1194, 609, 838, 7434, 9240, 7174, 547, 16578, 513, 8095, 547, 519, 7387, 543, 1118, 621, 979, 2269, 7660, 543, 3976, 811, 22150, 269, 634, 5347, 1630, 637, 941, 4443, 547, 4452, 563, 5278, 666, 12061, 1031, 16115, 602, 941, 476, 277, 21758, 3337, 547, 3514, 4010, 538, 519, 22902, 602, 729, 2759, 538, 476, 277, 5011, 547, 519, 16004, 563, 300, 677, 1513, 941, 1031, 547, 12235, 23292, 10997, 909, 543, 936, 513, 3774, 610, 29503, 1568, 563, 5278, 666, 12061, 1223, 3595, 513, 4396, 3440, 269, 11524, 17991, 513, 7387, 602, 1185, 513, 25146, 602, 3361, 621, 547, 1011, 1712, 538, 519, 2011, 269, 2368, 666, 12061, 941, 16041, 609, 18683, 14653, 267, 799, 1500, 621, 3595, 856, 2789, 4130, 11084, 899, 513, 8929, 30516, 563, 10190, 972, 568, 513, 2898, 7121, 540, 8097, 28994, 976, 19203, 2158, 602, 2760, 1500, 621, 883, 2504, 563, 3201, 12569, 10691, 292, 281, 930, 28994, 976, 1031, 538, 519, 3540, 2112, 941, 1454, 3677, 1287, 519, 28994, 976, 707, 4440, 3206, 540, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1317, 789, 20747, 519, 3515, 1063, 4641, 543, 9345, 269, 1306, 3988, 4685, 4514, 883, 1142, 9661, 267, 789, 7237, 6397, 23538, 543, 7140, 602, 4161, 26608, 18727, 18765, 827, 3961, 267, 13919, 267, 543, 2470, 269, 5015, 267, 1565, 875, 3309, 4529, 6451, 3337, 6879, 14823, 5515, 2636, 721, 547, 5660, 938, 3838, 8103, 543, 5876, 780, 12244, 22830, 281, 8073, 2659, 13574, 23426, 27691, 604, 614, 9452, 454, 24801, 7042, 3086, 602, 649, 723, 8268, 519, 1523, 540, 3337, 6879, 14823, 267, 1946, 1810, 1405, 596, 2119, 2870, 707, 1378, 2110, 1650, 10023, 513, 3337, 6879, 14823, 1915, 286, 6056, 827, 1018, 2186, 540, 3662, 610, 1843, 707, 1915, 1223, 6521, 883, 267, 950, 543, 1946, 789, 1522, 3442, 547, 1689, 3029, 267, 543, 1018, 2591, 8451, 1813, 547, 741, 7060, 269, 5213, 1405, 7340, 547, 2015, 875, 713, 2189, 16023, 5540, 3347, 609, 2828, 267, 1920, 267, 14763, 267, 543, 2486, 2949, 269, 8414, 1603, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 12606, 2961, 333, 2526, 3798, 1243, 1635, 7338, 589, 1530, 2041, 758, 2667, 13554, 1635, 16205, 807, 661, 661, 9581, 517, 476, 2735, 275, 454, 3630, 573, 707, 4647, 1286, 333, 2526, 12995, 676, 28114, 513, 694, 2041, 758, 19443, 676, 22415, 807, 11623, 5021, 676, 1210, 4057, 28556, 1354, 610, 1310, 513, 6871, 269, 2052, 18419, 2141, 581, 2659, 3625, 286, 1294, 2859, 281, 1215, 865, 616, 594, 1616, 547, 631, 547, 6146, 1007, 547, 581, 811, 286, 3245, 5359, 543, 5048, 547, 32112, 543, 4323, 267, 891, 1977, 7643, 948, 519, 1863, 1686, 540, 1426, 547, 18419, 707, 4466, 543, 581, 476, 1001, 280, 339, 3490, 563, 2190, 264, 634, 540, 4647, 1286, 333, 2526, 12995, 676, 28114, 513, 694, 2041, 758, 19443, 676, 22415, 807, 552, 2144, 6506, 517, 476, 2735, 275, 543, 3184, 568, 602, 519, 795, 540, 1022, 575, 15565, 547, 7119, 519, 7004, 543, 1357, 585, 602, 2462, 883, 3196, 269, 476, 1839, 264, 634, 2232, 547, 1554, 282, 2985, 282, 269, 476, 2918, 264, 634, 2232, 540, 1183, 710, 282, 547, 942, 282, 269, 476, 2767, 264, 1979, 6248, 3217, 513, 824, 267, 602, 20244, 6516, 1738, 547, 4123, 795, 306, 563, 2791, 786, 30881, 513, 4647, 1286, 333, 2526, 12995, 676, 28114, 513, 694, 2041, 758, 19443, 676, 547, 28161, 513, 1007, 2112, 3842, 3635, 269, 1284, 1224, 2178, 267, 855, 519, 5884, 596, 2049, 1373, 585, 2337, 6157, 2322, 269, 1411, 666, 9337, 707, 2985, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 4537, 1901, 27691, 14823, 257, 607, 851, 540, 834, 16300, 16337, 1315, 7087, 1315, 10960, 12267, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 1015, 281, 631, 2313, 3336, 4980, 10474, 910, 589, 26812, 3215, 2622, 645, 2940, 987, 3776, 32243, 692, 5970, 596, 2479, 8854, 585, 513, 3802, 538, 519, 18137, 543, 16686, 2390, 513, 12440, 540, 17228, 3395, 2282, 513, 3529, 286, 2107, 6148, 596, 4312, 2938, 873, 1402, 4771, 909, 538, 707, 1378, 18147, 1310, 513, 24925, 1554, 256, 1452, 4241, 13271, 616, 811, 982, 1175, 1426, 585, 4104, 7068, 610, 5820, 585, 8949, 10346, 282, 789, 1404, 513, 2629, 1909, 538, 4509, 2635, 8134, 543, 1256, 4865, 3532, 16392, 3601, 269, 2913, 781, 4685, 883, 519, 6909, 1158, 540, 25487, 14713, 2439, 1432, 4010, 616, 17228, 888, 10900, 19030, 6524, 649, 1376, 1565, 827, 3395, 17228, 267, 1577, 781, 1174, 1018, 789, 2965, 616, 269, 631, 2313, 7741, 4866, 547, 513, 1895, 1572, 834, 293, 2426, 328, 2437, 799, 849, 2882, 9493, 6814, 543, 28633, 269, 9521, 2371, 267, 13271, 3112, 3132, 741, 1378, 1426, 998, 15591, 1317, 789, 3668, 28060, 1107, 519, 3039, 20119, 3743, 585, 13830, 7943, 1648, 269, 5502, 267, 13271, 3489, 5567, 676, 10920, 19397, 5214, 2339, 899, 4666, 3762, 267, 3574, 267, 543, 1256, 824, 13271, 256, 2368, 2010, 540, 13271, 1106, 20102, 6225, 3347, 609, 2030, 5072, 267, 4543, 873, 10110, 1216, 543, 5567, 1247, 8391, 14836, 538, 2132, 780, 3963, 1332, 17228, 888, 2411, 14945, 2467, 616, 1896, 4128, 1946, 1004, 11349, 17228, 1384, 272, 269, 2878, 301, 9173, 5093, 631, 2313, 7741, 616, 1970, 538, 8477, 855, 1164, 538, 8324, 267, 6886, 267, 543, 14434, 269, 1358, 2270, 5946, 267, 6775, 267, 645, 8324, 267, 7601, 267, 11379, 267, 13101, 267, 13058, 267, 543, 1585, 1898, 11254, 7408, 269, 9578, 267, 1082, 17580, 17228, 1683, 2189, 7135, 609, 1761, 1072, 2640, 563, 273, 269, 2878, 8469, 21778, 5093, 15742, 17228, 723, 1279, 1044, 1031, 538, 2757, 4915, 2066, 1114, 4529, 269, 7073, 1382, 7028, 930, 540, 891, 6811, 267, 13031, 602, 1978, 2249, 949, 5818, 12046, 267, 4339, 6553, 267, 2569, 2860, 1981, 267, 2087, 2295, 1072, 267, 543, 1489, 2634, 1599, 563, 274, 269, 2878, 306, 7739, 1464, 5093, 22702, 547, 3662, 3940, 2959, 267, 25487, 14713, 3340, 7864, 2200, 543, 7472, 1447, 3653, 269, 898, 781, 606, 10357, 7888, 1259, 547, 7110, 938, 11326, 543, 3895, 9764, 4346, 2853, 563, 275, 269, 2878, 292, 21643, 5093, 631, 2313, 3336, 8105, 666, 581, 19311, 267, 2523, 952, 5059, 593, 20614, 610, 16392, 8677, 269, 3509, 3506, 267, 2146, 7740, 267, 543, 18758, 3906, 946, 25487, 14713, 607, 3872, 2645, 543, 4747, 18402, 780, 1692, 798, 17228, 1332, 888, 2411, 19567, 19284, 2371, 267, 17228, 1810, 1405, 991, 3037, 610, 7943, 547, 8853, 269, 5502, 267, 789, 17708, 339, 689, 513, 3060, 540, 6094, 3043, 16060, 1572, 834, 3240, 4897, 1756, 2437, 799, 7558, 5214, 1570, 543, 10110, 922, 5567, 269, 1879, 2175, 616, 1318, 630, 17141, 1282, 1808, 2837, 267, 11195, 267, 543, 1769, 2157, 1070, 519, 1250, 4897, 1756, 3029, 6263, 3889, 1572, 834, 27146, 867, 807, 2437, 799, 1287, 1020, 883, 9921, 17228, 780, 2080, 781, 513, 16866, 1900, 8386, 9912, 3391, 547, 25487, 14713, 1384, 272, 269, 2878, 7093, 6768, 14041, 4995, 4855, 5078, 2326, 3638, 538, 27794, 543, 31429, 514, 267, 971, 607, 12450, 267, 4718, 706, 560, 267, 610, 6694, 3653, 269, 1924, 752, 543, 10322, 559, 1125, 873, 547, 9004, 13311, 14471, 563, 273, 269, 2878, 1103, 665, 3634, 14041, 4995, 29130, 1250, 4897, 658, 15998, 610, 24032, 547, 519, 5423, 14041, 269, 14190, 519, 1250, 4897, 1756, 547, 3935, 1125, 519, 1570, 4625, 563, 274, 269, 2878, 8620, 4998, 2175, 4995, 3629, 3617, 5210, 267, 11195, 267, 8654, 267, 543, 4195, 2011, 5385, 585, 2927, 1746, 1560, 5250, 563, 275, 269, 2878, 19604, 4034, 17228, 4995, 17292, 17228, 1354, 741, 11503, 1930, 4628, 585, 5021, 8137, 543, 6484, 563, 276, 269, 2878, 3725, 701, 520, 1262, 2433, 2060, 1697, 1416, 267, 2789, 1166, 16640, 630, 9618, 341, 3949, 264, 666, 2049, 936, 1896, 4374, 610, 3275, 780, 3086, 602, 596, 917, 519, 9238, 540, 25487, 14713, 267, 621, 781, 942, 547, 2263, 2417, 256, 8347, 3395, 23690, 3122, 17228, 593, 6995, 12406, 267, 695, 328, 527, 820, 593, 20743, 267, 610, 17794, 781, 812, 324, 593, 2182, 6229, 4718, 706, 560, 269, 3502, 1152, 786, 596, 2972, 16276, 1753, 326, 3497, 17228, 267, 855, 596, 3513, 849, 3565, 547, 4264, 2713, 543, 15052, 707, 7071, 585, 1272, 9443, 269, 8414, 14237, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 9213, 781, 5816, 568, 827, 519, 9035, 540, 513, 715, 26798, 26935, 626, 269, 769, 938, 1391, 547, 3142, 596, 519, 1034, 909, 547, 4266, 5796, 543, 2472, 602, 2470, 814, 547, 2709, 267, 938, 5767, 2866, 729, 593, 3733, 19223, 269, 3733, 19223, 568, 519, 1353, 540, 17228, 602, 723, 1044, 1031, 519, 7764, 1227, 585, 5553, 585, 16392, 5301, 269, 1306, 513, 2257, 267, 3733, 19223, 568, 1631, 8744, 3504, 7326, 1927, 609, 909, 547, 4266, 3621, 4791, 2090, 547, 1413, 693, 12117, 543, 875, 713, 666, 581, 4294, 585, 6099, 1072, 563, 763, 2866, 729, 4371, 693, 519, 3274, 10875, 670, 604, 553, 20707, 6833, 571, 22071, 1759, 538, 3345, 4639, 8050, 269, 594, 7948, 1405, 3833, 3494, 1250, 9939, 950, 594, 1101, 4718, 713, 4505, 538, 519, 1032, 950, 3168, 585, 6030, 538, 3733, 19223, 269, 901, 729, 513, 4960, 547, 1294, 2067, 4104, 25487, 8105, 267, 1294, 513, 1158, 3056, 1382, 9744, 543, 1451, 1463, 689, 519, 18544, 538, 713, 2361, 630, 663, 3833, 12777, 538, 513, 2361, 1040, 634, 3501, 2866, 1576, 538, 513, 2197, 602, 594, 3180, 15210, 1813, 547, 23816, 8823, 540, 4974, 851, 540, 1250, 6280, 4110, 593, 519, 17368, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 300, 2313, 3336, 4980, 10474, 257, 607, 851, 540, 834, 306, 11799, 1315, 5020, 7070, 1315, 3733, 19223, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2956, 540, 519, 1459, 18226, 1995, 563, 8489, 1705, 519, 2667, 18870, 540, 6307, 1491, 1747, 888, 763, 22265, 6644, 540, 519, 2667, 18870, 4051, 338, 602, 4724, 519, 9096, 540, 1200, 14438, 267, 6307, 729, 3144, 909, 2443, 1560, 543, 9997, 2443, 883, 27032, 269, 1703, 267, 1352, 18795, 693, 1200, 12312, 779, 1318, 1688, 267, 607, 10348, 540, 24656, 543, 3047, 269, 634, 10661, 585, 519, 4051, 532, 568, 3964, 538, 23075, 267, 12799, 538, 3627, 779, 9490, 543, 22445, 1227, 21472, 5075, 6854, 538, 31694, 476, 1321, 563, 763, 2667, 18870, 540, 6307, 3576, 1747, 593, 519, 27098, 13738, 267, 538, 519, 10513, 8092, 269, 4107, 11932, 267, 519, 14799, 540, 31694, 476, 1321, 568, 6444, 607, 6307, 267, 519, 835, 968, 15367, 9447, 513, 5256, 27344, 267, 835, 945, 568, 547, 1852, 1169, 835, 540, 519, 2477, 609, 513, 3046, 540, 4401, 1547, 1547, 1547, 1496, 1492, 835, 316, 3893, 909, 547, 3432, 547, 2696, 543, 1010, 29341, 2990, 892, 630, 3725, 341, 476, 1321, 281, 276, 1040, 2598, 26918, 476, 1321, 267, 538, 1022, 2013, 267, 10123, 18252, 13513, 602, 796, 1723, 951, 519, 14799, 547, 581, 667, 5922, 27098, 267, 519, 10348, 5174, 20183, 540, 5840, 267, 543, 519, 12624, 540, 519, 5783, 563, 3383, 9236, 519, 14799, 547, 519, 10348, 5696, 728, 540, 5840, 267, 1010, 26841, 540, 1200, 26871, 828, 725, 30037, 267, 945, 1767, 602, 5840, 1131, 581, 17820, 899, 513, 13085, 10348, 5696, 728, 630, 3674, 476, 2568, 281, 866, 268, 736, 267, 476, 7830, 281, 274, 268, 276, 1040, 4746, 21125, 779, 14799, 540, 519, 5662, 538, 519, 14576, 540, 21125, 568, 11338, 13269, 630, 306, 29330, 476, 277, 281, 1015, 1040, 3627, 3927, 20475, 713, 2856, 676, 15603, 721, 917, 602, 519, 14799, 31273, 513, 13862, 540, 12964, 6801, 267, 513, 17736, 545, 6681, 3239, 540, 519, 12964, 804, 753, 540, 5840, 563, 3674, 6307, 519, 15248, 540, 31694, 888, 21953, 267, 782, 998, 31694, 267, 519, 12964, 804, 753, 616, 10123, 23125, 607, 23053, 540, 519, 12964, 24347, 956, 267, 519, 30896, 540, 519, 1007, 5840, 267, 543, 519, 5783, 630, 3725, 341, 476, 278, 281, 275, 268, 279, 267, 476, 2641, 281, 1321, 268, 1691, 1040, 769, 713, 1259, 267, 13974, 267, 607, 667, 5922, 27098, 729, 606, 3239, 540, 519, 13603, 2043, 540, 2696, 2443, 5840, 2443, 519, 14799, 538, 31694, 568, 10123, 606, 3239, 540, 519, 1007, 2043, 540, 2696, 267, 519, 5783, 563, 6097, 547, 13400, 6589, 267, 519, 14799, 540, 31694, 568, 519, 7464, 7910, 6307, 267, 634, 14799, 540, 31694, 267, 581, 602, 607, 621, 949, 267, 568, 811, 982, 606, 3239, 585, 519, 5783, 269, 2701, 568, 11338, 922, 3158, 609, 968, 335, 8803, 640, 892, 711, 5976, 9227, 519, 835, 5256, 27344, 547, 7247, 1352, 10703, 1161, 606, 15556, 269, 5015, 267, 1346, 19920, 616, 17814, 538, 31694, 607, 519, 1004, 945, 3972, 538, 4906, 563, 26469, 267, 538, 513, 1893, 899, 602, 540, 31694, 267, 5219, 547, 519, 5783, 607, 968, 1492, 13243, 1657, 1547, 1547, 1547, 938, 3158, 1848, 1261, 849, 5941, 519, 5783, 607, 519, 5696, 728, 540, 2441, 630, 29727, 476, 275, 281, 2918, 282, 661, 874, 476, 276, 281, 4029, 268, 3953, 1040, 6684, 267, 3627, 782, 24231, 547, 519, 5783, 607, 513, 968, 310, 2674, 892, 630, 273, 808, 333, 267, 642, 269, 476, 276, 1916, 2691, 729, 7910, 6307, 10924, 883, 13140, 888, 21953, 267, 1247, 519, 18226, 1995, 1554, 568, 513, 10169, 1007, 835, 267, 519, 3140, 20457, 540, 519, 8317, 1107, 543, 519, 5728, 3297, 621, 1107, 814, 922, 5817, 13210, 538, 519, 9998, 7366, 540, 1296, 540, 4168, 24235, 563, 763, 7826, 5783, 31234, 602, 593, 4864, 476, 1428, 267, 7910, 6307, 10924, 883, 24656, 269, 23597, 782, 936, 519, 4541, 1665, 519, 3171, 770, 540, 519, 2667, 18870, 540, 6307, 267, 9301, 519, 9096, 540, 1200, 2067, 1272, 543, 1139, 3789, 883, 24656, 269, 4746, 267, 23597, 26189, 602, 950, 6307, 3576, 1200, 2067, 1272, 267, 2696, 4397, 1200, 547, 581, 1200, 267, 1560, 543, 9997, 883, 27032, 563, 763, 22265, 6644, 540, 519, 2667, 18870, 540, 6307, 1107, 10123, 1572, 519, 968, 291, 768, 819, 540, 6307, 892, 538, 519, 8109, 932, 11699, 1107, 814, 922, 13210, 538, 519, 2038, 7366, 540, 1296, 540, 519, 5783, 563, 268, 634, 1747, 540, 5169, 540, 519, 21649, 568, 4440, 13243, 267, 519, 10513, 4975, 269, 7316, 519, 19772, 540, 519, 12624, 540, 2696, 543, 519, 5939, 3710, 593, 621, 616, 12873, 547, 547, 713, 1554, 2282, 519, 12567, 540, 717, 996, 572, 2006, 324, 563, 268, 898, 568, 1767, 602, 853, 6307, 267, 15392, 519, 1935, 540, 519, 1439, 540, 1200, 3618, 569, 1272, 269, 9045, 593, 513, 5127, 538, 1200, 2777, 538, 519, 12567, 540, 717, 996, 572, 2006, 324, 269, 589, 11445, 1746, 519, 1847, 547, 519, 8003, 540, 1200, 12312, 267, 519, 14205, 21831, 4906, 2441, 563, 268, 19992, 519, 19772, 540, 519, 7910, 6307, 538, 1200, 5939, 269, 1323, 12835, 540, 3776, 15248, 267, 519, 27803, 22086, 518, 267, 1634, 607, 13243, 527, 20811, 267, 568, 5116, 585, 19623, 338, 547, 10847, 563, 763, 12312, 540, 6424, 267, 2441, 938, 7083, 267, 568, 17328, 6748, 543, 3648, 6499, 547, 1847, 1354, 721, 1932, 950, 649, 616, 4547, 883, 27032, 269, 1924, 646, 786, 3391, 31676, 3190, 12310, 547, 2206, 543, 1404, 2575, 693, 938, 5920, 269, 6307, 938, 12624, 1568, 543, 1835, 625, 865, 4896, 1522, 5873, 538, 6304, 585, 721, 607, 519, 4605, 540, 1200, 12312, 568, 8737, 538, 519, 5783, 563, 29012, 267, 585, 2386, 267, 1200, 19820, 786, 581, 519, 23260, 540, 721, 782, 538, 27032, 281, 968, 7069, 6891, 32141, 519, 4644, 540, 519, 7083, 267, 543, 1250, 9997, 1350, 1559, 538, 2696, 1250, 14205, 1640, 282, 2094, 646, 814, 9763, 1010, 18803, 1688, 2742, 573, 269, 11569, 267, 689, 713, 1554, 4464, 782, 6502, 786, 1289, 803, 23163, 267, 585, 519, 31471, 26663, 814, 2944, 6909, 1919, 585, 803, 269, 645, 1652, 539, 568, 1010, 2012, 9731, 763, 6426, 5638, 2696, 968, 1410, 1051, 532, 892, 1312, 2037, 5255, 543, 18379, 26400, 883, 27032, 630, 7049, 8412, 476, 276, 281, 2190, 282, 476, 273, 18301, 476, 273, 281, 1556, 1040, 9747, 267, 621, 3884, 1406, 796, 20459, 762, 602, 2696, 1131, 723, 2944, 11338, 609, 6307, 269, 4746, 267, 519, 3390, 568, 602, 972, 568, 1100, 7097, 1116, 2601, 585, 519, 2667, 18870, 540, 6307, 269, 1924, 519, 6426, 3085, 1406, 2594, 6307, 779, 8429, 610, 1256, 5469, 6307, 1310, 20450, 851, 476, 272, 269, 1924, 519, 2272, 540, 6307, 779, 2667, 18870, 269, 11569, 267, 1519, 1200, 25954, 543, 519, 14952, 748, 1205, 2389, 6320, 540, 519, 28773, 547, 7747, 519, 8317, 269, 4746, 568, 796, 611, 592, 614, 730, 2025, 2984, 563, 5226, 714, 2280, 827, 634, 2667, 18870, 540, 6307, 454, 268, 22859, 5930, 267, 681, 269, 681, 269, 630, 3192, 278, 1040, 6307, 267, 519, 21522, 3068, 540, 519, 5939, 269, 31689, 3627, 12928, 2135, 4964, 563, 268, 674, 584, 636, 9369, 267, 700, 269, 630, 2735, 271, 1040, 6307, 18724, 517, 595, 1779, 1231, 630, 5908, 274, 1700, 4350, 271, 1040, 10017, 540, 6468, 22588, 569, 267, 476, 276, 263, 272, 1070, 476, 4649, 268, 6924, 563, 268, 5839, 638, 541, 4471, 267, 808, 269, 630, 1220, 272, 1040, 6307, 585, 782, 10271, 269, 589, 261, 290, 4563, 563, 268, 23951, 773, 322, 345, 5500, 267, 631, 269, 661, 269, 630, 1220, 280, 1040, 29042, 4025, 267, 6469, 5624, 281, 7698, 2528, 267, 5939, 267, 543, 1753, 693, 3776, 15248, 540, 519, 2667, 18870, 543, 853, 269, 23394, 527, 3279, 269, 4750, 585, 519, 11660, 5530, 540, 15215, 267, 476, 4366, 263, 274, 1070, 476, 275, 866, 268, 4510, 273, 563, 268, 22743, 12717, 267, 744, 269, 670, 269, 590, 269, 744, 269, 808, 1421, 1299, 7435, 719, 267, 623, 269, 570, 269, 674, 269, 630, 1001, 274, 1040, 634, 2667, 18870, 540, 519, 645, 1652, 539, 7910, 6307, 269, 0, 4488, 16688, 12903, 5508, 9167, 4629, 14154, 3198, 21850, 9680, 6938, 3582, 454, 763, 1576, 6663, 547, 3035, 519, 1739, 1565, 3853, 1298, 1042, 593, 519, 3486, 2804, 5610, 3157, 267, 543, 4481, 593, 519, 3864, 5742, 630, 31323, 2567, 2485, 354, 1053, 786, 10536, 1702, 543, 8223, 1983, 547, 5659, 519, 2804, 18144, 540, 519, 9167, 267, 922, 2804, 4507, 543, 519, 1909, 540, 3864, 543, 3084, 5238, 538, 741, 5250, 543, 6388, 269, 2485, 354, 3498, 540, 1702, 543, 8223, 547, 519, 2042, 540, 3864, 2804, 5610, 786, 581, 9863, 676, 519, 2702, 547, 8908, 5359, 610, 824, 2854, 9382, 538, 513, 2324, 267, 4081, 267, 610, 1353, 2796, 269, 2485, 354, 1053, 786, 581, 2111, 547, 25666, 14628, 2565, 10526, 540, 772, 292, 2804, 4507, 543, 922, 4539, 689, 519, 2804, 2773, 540, 4759, 2276, 543, 3791, 6105, 281, 2485, 354, 2792, 1983, 786, 581, 2919, 676, 18398, 1053, 547, 946, 519, 2930, 3822, 543, 17215, 1922, 15903, 4901, 7282, 519, 9297, 543, 3609, 540, 519, 9167, 267, 609, 519, 3804, 540, 8600, 873, 547, 9718, 741, 5784, 538, 1857, 9840, 610, 538, 513, 2816, 1604, 282, 2485, 354, 538, 2474, 540, 1565, 1983, 267, 1053, 786, 4383, 547, 1935, 2820, 592, 326, 894, 543, 2027, 2065, 13220, 827, 2804, 3344, 540, 519, 9167, 543, 811, 3622, 2804, 5610, 267, 6029, 741, 2702, 547, 10446, 3406, 543, 2824, 6054, 543, 1239, 563, 21995, 1702, 540, 2890, 31754, 267, 12550, 31754, 543, 2804, 3609, 563, 11372, 10561, 1143, 543, 6237, 1143, 538, 519, 3486, 2796, 910, 9483, 13210, 543, 1617, 10561, 5238, 910, 9537, 540, 11650, 543, 6237, 5610, 910, 634, 3864, 5742, 476, 273, 269, 3864, 5742, 3609, 6194, 910, 9167, 5238, 543, 519, 14305, 540, 2841, 1878, 910, 634, 9167, 6578, 281, 2959, 543, 3096, 910, 634, 661, 29368, 543, 519, 1966, 540, 7616, 3864, 4507, 476, 274, 269, 634, 9297, 543, 3609, 540, 519, 9167, 910, 3245, 1863, 4123, 547, 519, 17266, 10369, 910, 3933, 8767, 5610, 543, 16642, 3609, 910, 634, 1455, 6694, 3609, 543, 6917, 1646, 910, 24727, 585, 2804, 543, 1514, 22122, 910, 3245, 519, 28988, 2548, 15613, 547, 2342, 476, 1708, 271, 476, 275, 269, 9167, 5007, 3347, 910, 634, 9167, 23822, 618, 281, 1569, 7355, 267, 1489, 4507, 543, 11134, 2477, 910, 634, 3864, 29117, 3609, 910, 1492, 6433, 540, 1857, 22440, 454, 7628, 519, 1576, 786, 581, 5701, 519, 5564, 10561, 1143, 543, 6237, 1143, 538, 519, 3486, 2796, 267, 9483, 13210, 543, 1617, 10561, 5238, 267, 9537, 540, 11650, 543, 6237, 5610, 267, 634, 3864, 5742, 269, 4746, 519, 1445, 786, 581, 593, 519, 9167, 5238, 267, 593, 519, 9167, 6578, 543, 519, 1966, 540, 7616, 3864, 4507, 269, 4033, 1271, 7440, 786, 581, 519, 3933, 8767, 5610, 543, 16642, 3609, 282, 519, 1455, 6694, 3609, 543, 6917, 1646, 282, 519, 24727, 585, 2804, 543, 1514, 22122, 282, 519, 9167, 23822, 618, 281, 1569, 7355, 267, 1489, 4507, 543, 11134, 2477, 282, 519, 6433, 540, 1857, 22440, 563, 763, 1576, 568, 11295, 538, 476, 4366, 3108, 540, 1362, 267, 1519, 476, 279, 585, 5751, 267, 1739, 519, 1657, 1592, 540, 3584, 269, 4841, 685, 20343, 568, 9244, 9415, 269, 4746, 1282, 519, 1576, 786, 581, 4280, 547, 1053, 519, 7041, 540, 513, 6881, 540, 513, 1880, 4661, 5941, 609, 519, 4116, 269, 11644, 5049, 786, 849, 1331, 519, 6881, 540, 12170, 2963, 543, 2013, 2090, 269, 16952, 1570, 786, 581, 7856, 1282, 519, 1576, 543, 786, 581, 2139, 676, 6998, 547, 519, 4116, 454, 29209, 851, 540, 519, 1570, 786, 581, 7677, 1639, 1282, 519, 1576, 543, 621, 5161, 540, 4574, 267, 543, 11271, 540, 2835, 269, 769, 1022, 2013, 585, 1346, 945, 786, 711, 1246, 519, 1576, 519, 1292, 1257, 540, 4704, 568, 2433, 634, 13188, 540, 3864, 5610, 267, 645, 3201, 291, 310, 2562, 681, 2975, 295, 19181, 282, 654, 312, 12195, 5308, 313, 8863, 2752, 299, 2464, 563, 10743, 685, 1565, 786, 581, 20240, 998, 513, 2854, 981, 267, 609, 1930, 25804, 2055, 267, 4553, 676, 606, 5711, 981, 1152, 585, 1053, 8429, 519, 2854, 981, 269, 4841, 616, 4397, 547, 2626, 538, 1390, 1469, 543, 3178, 547, 1930, 2055, 543, 547, 18113, 18663, 741, 4267, 1282, 519, 5711, 981, 269, 5637, 519, 2854, 543, 5711, 11400 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 22102, 19884, 15448, 16393, 1473, 6510, 589, 5395, 1190, 10076, 29520, 281, 7537, 6020, 11233, 918, 13083, 1092, 454, 290, 14563, 609, 513, 2790, 4576, 666, 6961, 547, 581, 3833, 4101, 269, 4706, 5868, 666, 3142, 909, 513, 2603, 540, 2352, 4606, 269, 898, 568, 8449, 4101, 952, 513, 6068, 835, 568, 7680, 930, 4990, 540, 2790, 4576, 269, 1879, 513, 1268, 568, 2713, 609, 513, 3978, 2790, 4576, 267, 519, 2898, 1920, 11148, 547, 581, 4299, 269, 14268, 267, 538, 1880, 267, 723, 547, 3398, 519, 1249, 543, 4188, 741, 13922, 543, 6788, 538, 2013, 741, 1126, 10953, 513, 3978, 2790, 4576, 563, 2026, 829, 513, 1007, 1353, 267, 1152, 513, 1507, 2671, 540, 519, 2551, 13978, 15508, 2635, 689, 2085, 476, 1556, 547, 476, 4343, 269, 20290, 3025, 2833, 513, 2790, 4576, 693, 930, 1448, 538, 741, 1272, 563, 763, 4810, 1199, 923, 693, 7537, 6020, 11233, 267, 835, 540, 519, 3056, 1617, 529, 2133, 1399, 10506, 538, 918, 13083, 1092, 267, 2491, 602, 2790, 1072, 2042, 616, 1419, 1644, 547, 7050, 2566, 1813, 547, 513, 1978, 3510, 610, 3126, 540, 2621, 269, 1358, 1860, 2043, 689, 782, 15211, 540, 1272, 563, 8266, 539, 2630, 616, 930, 540, 519, 1034, 2500, 2081, 596, 666, 11883, 609, 707, 2790, 4576, 912, 13981, 827, 707, 2790, 4576, 454, 2026, 513, 2339, 540, 1249, 267, 519, 2589, 540, 2790, 4576, 616, 1419, 29144, 269, 589, 1297, 540, 20025, 11475, 616, 849, 10419, 18050, 827, 1004, 609, 2790, 10108, 269, 4935, 267, 1565, 827, 519, 2470, 267, 2589, 543, 2126, 3681, 540, 519, 2790, 4576, 568, 835, 540, 519, 1034, 1271, 1919, 585, 4896, 7092, 689, 1022, 1826, 540, 2790, 4576, 269, 15316, 2790, 10108, 899, 18624, 610, 17299, 4524, 2356, 2408, 968, 719, 540, 519, 4544, 1848, 769, 1082, 2665, 267, 2790, 2152, 979, 3768, 328, 30938, 607, 519, 3411, 19907, 568, 3274, 23387, 602, 1010, 2589, 5749, 1406, 3339, 269, 4935, 267, 1004, 1058, 2628, 3007, 547, 519, 1507, 2242, 610, 519, 4606, 602, 968, 31138, 568, 711, 3833, 1318, 9731, 8256, 738, 519, 1318, 4274, 454, 8256, 738, 532, 513, 1434, 13309, 786, 1683, 596, 609, 782, 519, 3877, 827, 707, 4524, 269, 1261, 786, 3713, 519, 8792, 15244, 602, 10646, 835, 4524, 689, 1776, 269, 7537, 6020, 11233, 918, 13083, 1092, 15565, 2921, 1022, 540, 707, 1920, 2818, 2059, 267, 8164, 596, 5077, 513, 4387, 269, 901, 666, 948, 873, 538, 1620, 1018, 596, 2461, 2469, 998, 543, 519, 1259, 789, 666, 948, 563, 18794, 513, 1489, 1895, 454, 21010, 532, 609, 1004, 7092, 689, 513, 2147, 4524, 666, 948, 596, 538, 12003, 609, 621, 269, 7537, 6020, 11233, 6828, 8711, 602, 972, 616, 1585, 1489, 2516, 585, 2790, 4576, 2139, 2228, 563, 26835, 4448, 609, 2828, 543, 1920, 454, 2005, 568, 1271, 585, 519, 2550, 609, 1022, 2790, 4524, 547, 7119, 538, 1514, 2238, 269, 1772, 15684, 689, 519, 2486, 666, 2417, 24395, 622, 707, 2790, 2783, 269, 4746, 267, 519, 3461, 12582, 1406, 19292, 538, 5275, 6351, 543, 581, 909, 12506, 827, 1010, 1966, 563, 763, 10335, 540, 2790, 4713, 2306, 621, 1271, 547, 1832, 513, 2638, 593, 741, 2589, 267, 3123, 543, 2126, 269, 1656, 3314, 267, 2038, 6304, 543, 12905, 2126, 666, 13468, 519, 10335, 540, 606, 4576, 3648, 563, 12648, 5516, 540, 707, 10076, 2657, 607, 1134, 593, 713, 2622, 10076, 2657, 4303, 476, 1001, 278, 269, 0, 5938, 778, 3214, 547, 1224, 543, 2328, 609, 519, 948, 540, 891, 13561, 7270, 2336, 5938, 778, 1762, 3283, 2542, 543, 1603, 454, 1692, 798, 596, 4001, 3214, 547, 1224, 543, 2328, 2507, 18034, 952, 789, 2461, 1869, 840, 17469, 619, 286, 4270, 596, 1810, 1406, 723, 547, 6108, 513, 530, 611, 540, 6666, 547, 4001, 3214, 875, 547, 581, 2148, 622, 256, 1284, 2285, 596, 476, 278, 9735, 7270, 547, 1832, 13561, 950, 3450, 707, 9251, 518, 875, 547, 581, 1224, 543, 2328, 269, 1358, 616, 2407, 540, 1187, 2093, 543, 2238, 602, 786, 723, 707, 2370, 835, 2542, 543, 1603, 538, 1100, 942, 1107, 543, 15962, 621, 1932, 2336, 30509, 689, 1210, 1390, 7270, 971, 607, 891, 267, 616, 972, 1022, 824, 6836, 7146, 2389, 6479, 2409, 596, 917, 540, 610, 946, 286, 2913, 721, 917, 256, 1403, 596, 1589, 649, 4076, 14406, 856, 593, 1022, 824, 7270, 267, 5225, 2671, 873, 609, 721, 2630, 256, 0, 5278, 3602, 538, 14913, 5607, 630, 528, 4000, 267, 519, 11068, 7232, 770, 267, 2342, 3092, 264, 1547, 1547, 4586, 288, 18911, 804, 15085, 543, 10593, 1472, 538, 1200, 829, 577, 269, 2701, 2879, 14554, 543, 14229, 324, 8240, 563, 11900, 728, 519, 16298, 540, 1200, 7929, 8778, 543, 9641, 267, 6634, 540, 14798, 8290, 910, 4122, 1572, 589, 26260, 276, 301, 272, 610, 6177, 2770, 910, 616, 3468, 532, 1200, 2281, 543, 16550, 873, 547, 21613, 6634, 811, 540, 519, 3644, 563, 1607, 568, 519, 1482, 3644, 602, 781, 14686, 547, 17944, 269, 4658, 666, 6952, 621, 998, 2673, 3346, 609, 17944, 267, 855, 789, 666, 711, 3262, 621, 547, 824, 1004, 563, 763, 18911, 608, 4038, 525, 269, 4173, 3043, 3653, 1570, 910, 2407, 540, 589, 26260, 276, 301, 272, 910, 8813, 547, 519, 6989, 2630, 267, 11544, 538, 609, 519, 13897, 543, 824, 9269, 23226, 563, 763, 6477, 2630, 519, 18911, 849, 7959, 2192, 269, 11153, 2395, 3516, 267, 519, 16027, 945, 22595, 873, 1312, 14229, 324, 7458, 593, 519, 6477, 1247, 8023, 1200, 269, 3767, 519, 6477, 814, 513, 2013, 540, 8723, 1480, 2770, 269, 898, 781, 711, 1272, 18446, 547, 519, 16027, 610, 519, 6477, 267, 855, 621, 568, 3810, 21380, 563, 295, 2426, 787, 5103, 1200, 2770, 267, 519, 6477, 979, 6277, 956, 1524, 930, 9269, 23226, 267, 1519, 930, 799, 3568, 589, 26260, 276, 301, 272, 563, 288, 26260, 276, 301, 272, 1568, 922, 1259, 998, 519, 6477, 781, 1560, 547, 519, 6477, 781, 7929, 1062, 269, 1703, 267, 621, 6238, 17656, 883, 519, 6477, 781, 2281, 609, 922, 26389, 540, 8280, 698, 331, 18636, 514, 514, 563, 2467, 621, 10742, 909, 609, 513, 3644, 540, 8723, 2770, 3468, 532, 519, 6477, 910, 1175, 899, 1079, 4871, 3775, 1499, 945, 4283, 519, 1482, 29256, 689, 1079, 5011, 563, 2005, 781, 711, 3020, 2648, 267, 855, 621, 781, 711, 3983, 269, 1358, 9192, 4719, 1570, 543, 4166, 723, 606, 15556, 945, 781, 519, 1655, 540, 1312, 540, 873, 563, 2026, 21380, 1063, 1480, 7919, 607, 8723, 2770, 563, 2026, 24037, 547, 1480, 7919, 607, 589, 26260, 276, 301, 272, 563, 306, 3019, 28133, 3096, 519, 683, 340, 1090, 514, 573, 848, 3940, 26389, 593, 1010, 2627, 547, 2759, 5128, 10690, 689, 519, 6477, 781, 1591, 646, 7125, 1753, 267, 543, 2306, 1010, 1259, 856, 883, 519, 1158, 1547, 1547, 1547, 547, 3468, 1010, 1360, 1378, 1591, 563, 3891, 3217, 936, 922, 4719, 1570, 543, 4166, 814, 25009, 519, 1591, 547, 21613, 6634, 811, 540, 5128, 563, 306, 3019, 1346, 8290, 616, 10825, 998, 519, 6477, 563, 15703, 2395, 2663, 267, 519, 16027, 781, 9510, 5067, 2501, 547, 3049, 519, 6477, 269, 1261, 822, 1176, 7783, 609, 519, 21380, 1106, 540, 24037, 6177, 2770, 267, 519, 6477, 2879, 2176, 543, 14229, 324, 8240, 5196, 519, 7911, 563, 8005, 2663, 11315, 8075, 609, 1010, 2828, 693, 1153, 267, 1519, 623, 574, 563, 303, 574, 3217, 519, 3644, 1753, 547, 1010, 4651, 267, 24204, 563, 763, 1985, 1554, 267, 24204, 3217, 513, 1668, 547, 10854, 330, 758, 547, 4444, 930, 7727, 543, 3937, 585, 1010, 3484, 269, 1261, 22939, 1454, 540, 519, 1554, 6158, 936, 1010, 1931, 609, 6004, 269, 16441, 267, 519, 8227, 540, 634, 6519, 20769, 639, 12426, 15188, 563, 16031, 269, 16441, 4422, 1753, 602, 10543, 543, 22939, 513, 2603, 540, 15982, 942, 609, 1010, 7385, 267, 945, 568, 6028, 14182, 547, 6108, 1079, 4374, 9683, 14077, 538, 9628, 267, 772, 269, 590, 269, 589, 563, 2691, 11427, 269, 16441, 12545, 519, 2038, 6640, 21487, 5794, 1811, 8184, 547, 11968, 13353, 267, 1352, 568, 711, 3222, 602, 476, 13970, 12919, 2476, 689, 1200, 267, 513, 9269, 543, 513, 6477, 616, 4666, 1547, 1547, 1547, 543, 513, 16027, 781, 5067, 543, 1010, 3659, 616, 1932, 7210, 547, 979, 547, 1153, 563, 10468, 2416, 798, 519, 824, 476, 1220, 15915, 945, 6108, 476, 1556, 3108, 7244, 519, 1482, 2011, 607, 11427, 269, 16441, 563, 763, 6705, 723, 3144, 741, 1453, 547, 519, 7404, 16758, 267, 799, 814, 3144, 11563, 5439, 543, 2366, 873, 547, 519, 2136, 8315, 2622, 2657, 9257, 20682, 547, 581, 7318, 563, 763, 4387, 568, 14126, 267, 1317, 519, 824, 1920, 2818, 616, 849, 4743, 14605, 543, 1082, 540, 741, 3484, 2831, 723, 5747, 269, 1261, 781, 4743, 4617, 5128, 563, 5475, 13941, 693, 11968, 13353, 4139, 23076, 267, 930, 540, 11427, 269, 16441, 781, 8284, 15915, 979, 883, 11968, 13353, 269, 2368, 540, 873, 979, 593, 547, 19426, 547, 4516, 267, 5824, 3013, 543, 1715, 3840, 4975, 269, 589, 1906, 1544, 547, 3136, 593, 547, 5507, 543, 8303, 269, 11427, 269, 16441, 9060, 1200, 10766, 547, 513, 1977, 5794, 6050, 8184, 547, 9628, 563, 288, 1906, 2395, 2663, 267, 14959, 543, 15509, 4600, 8038, 547, 519, 1507, 8105, 8498, 543, 519, 21487, 2229, 791, 4680, 513, 2951, 7333, 593, 519, 3003, 11662, 563, 1103, 9628, 267, 11427, 269, 16441, 814, 3144, 547, 1200, 5127, 543, 1200, 14077, 616, 32125, 593, 741, 6009, 1547, 1547, 4586, 322, 476, 1220, 277, 676, 9400, 853, 809, 518, 454, 9596, 1215, 547, 13363, 23126, 543, 2659, 7731, 3245, 519, 16819, 12071, 670, 276, 301, 272, 24295, 454, 30238, 3377, 543, 4761, 9623, 693, 281, 16819, 12071, 670, 276, 301, 272, 24295, 5455, 30098, 0, 289, 534, 1723, 2817, 5244, 267, 3943, 623, 2117, 2817, 5918, 14465, 1723, 267, 3084, 6288, 267, 25878, 595, 20110, 974, 546, 685, 296, 17383, 790, 630, 296, 341, 800, 11076, 1040, 898, 6013, 5612, 5087, 540, 2806, 573, 13568, 267, 519, 3084, 3854, 269, 13207, 1563, 513, 3084, 6288, 538, 476, 4198, 274, 267, 14465, 1723, 11122, 525, 1312, 18508, 543, 21426, 538, 930, 476, 14138, 4009, 5195, 630, 4968, 4009, 5998, 1040, 23427, 2182, 6229, 4054, 19582, 1034, 540, 519, 6288, 282, 606, 818, 321, 648, 339, 636, 10525, 4054, 630, 18034, 751, 752, 264, 543, 19211, 689, 782, 936, 519, 2197, 269, 3979, 524, 633, 339, 267, 1024, 564, 267, 17382, 321, 3089, 267, 5918, 32304, 267, 543, 24564, 887, 600, 519, 6288, 269, 634, 6288, 5713, 5097, 607, 513, 16351, 8998, 585, 519, 11317, 540, 2806, 573, 13568, 563, 289, 534, 1723, 2817, 5244, 454, 9596, 2859, 538, 891, 1644, 4930, 912, 290, 20110, 974, 546, 685, 296, 17383, 790, 267, 2197, 4092, 593, 519, 5032, 540, 7262, 4000, 269, 634, 632, 1249, 334, 3854, 568, 2806, 573, 13568, 282, 519, 11889, 3854, 1374, 622, 630, 26238, 476, 2735, 274, 264, 568, 962, 13904, 338, 537, 330, 549, 19403, 2859, 454, 13233, 6288, 13233, 6288, 267, 606, 1858, 1305, 11735, 676, 513, 3084, 2229, 585, 519, 11091, 540, 519, 2067, 1604, 269, 589, 3084, 6288, 949, 581, 1305, 11735, 585, 5301, 540, 1857, 18883, 5649, 2859, 454, 6781, 573, 13568, 6781, 573, 13568, 267, 8783, 2823, 267, 632, 1249, 334, 3854, 267, 543, 4102, 2749, 540, 595, 20110, 974, 546, 685, 296, 17383, 790, 630, 296, 341, 800, 11076, 1040, 898, 6013, 2059, 519, 27878, 321, 686, 2946, 20698, 3019, 267, 799, 568, 9674, 689, 519, 13323, 540, 19892, 543, 519, 5649, 2859, 0, 307, 578, 1841, 519, 1439, 540, 519, 22733, 2540, 267, 513, 2101, 7004, 3576, 1747, 538, 3703, 10565, 2528, 269, 2311, 519, 2295, 540, 602, 7004, 729, 519, 11786, 11944, 540, 606, 24648, 527, 1493, 16222, 267, 543, 513, 2686, 6560, 1063, 5507, 781, 14664, 1404, 17346, 630, 7804, 1722, 28818, 267, 595, 990, 550, 12567, 267, 543, 519, 15917, 21466, 264, 543, 519, 1007, 267, 865, 10777, 5634, 26974, 637, 269, 901, 568, 519, 1101, 1433, 547, 2263, 519, 5238, 267, 11964, 267, 543, 2773, 1686, 540, 713, 24648, 527, 1493, 16222, 269, 13191, 28239, 344, 781, 18512, 543, 3312, 2272, 15109, 519, 29611, 540, 13357, 543, 18792, 693, 5507, 781, 5634, 26974, 637, 543, 6257, 519, 1585, 19782, 1190, 2081, 538, 799, 22407, 2235, 4379, 3572, 730, 519, 1876, 269, 28239, 344, 6770, 547, 1769, 28302, 24299, 540, 9956, 543, 519, 5634, 26974, 637, 262 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]