Datasets:
SmallDoge
/
decay_dataset_processed

Dataset card Data Studio Files
xet
Community
1
Search is not available for this dataset
input_ids
sequencelengths
1
2.05k
attention_mask
sequencelengths
1
2.05k
[ 0, 763, 3621, 2012, 585, 519, 16603, 568, 3752, 534, 636, 11430, 19817, 619, 32337, 269, 898, 568, 513, 17334, 327, 1228, 543, 12851, 547, 519, 1482, 1920, 607, 12277, 269, 2755, 519, 16603, 568, 20248, 513, 27386, 4829, 267, 621, 568, 2808, 513, 10448, 676, 772, 2529, 269, 9821, 543, 538, 11477, 6575, 14389, 852, 2859, 454, 25402, 10633, 616, 5065, 547, 519, 3162, 1977, 1656, 525, 543, 616, 513, 21064, 2030, 972, 267, 4352, 789, 616, 6738, 607, 5993, 338, 10876, 3116, 538, 519, 1158, 269, 1358, 941, 1101, 1031, 607, 1426, 538, 6792, 543, 3262, 3533, 1310, 519, 5053, 17091, 540, 519, 17113, 563, 25402, 10633, 616, 519, 1533, 10448, 540, 1715, 14948, 267, 519, 1533, 10448, 543, 4829, 540, 23916, 543, 519, 1533, 4829, 540, 11882, 269, 9596, 811, 827, 29641, 454, 763, 1455, 986, 764, 3019, 781, 3621, 2012, 568, 1160, 1097, 517, 2603, 528, 269, 634, 2012, 1797, 834, 27594, 3697, 729, 615, 257, 543, 4016, 547, 519, 3662, 781, 4356, 540, 10068, 610, 11067, 609, 922, 2062, 335, 9155, 267, 607, 1281, 834, 571, 764, 3019, 2437, 799, 568, 519, 2296, 4528, 540, 513, 18120, 1002, 534, 4095, 2262, 12171, 1638, 8382, 28825, 763, 3621, 2012, 585, 9044, 568, 2098, 17789, 3912, 322, 7974, 267, 2687, 547, 519, 10326, 540, 5020, 1357, 1788, 269, 2368, 540, 519, 811, 5432, 13222, 540, 519, 2098, 17789, 3912, 322, 7974, 1920, 1331, 519, 3728, 21212, 28633, 602, 616, 1336, 593, 5613, 602, 723, 513, 1164, 4006, 1543, 12171, 1638, 8382, 28825, 763, 3621, 2012, 585, 2261, 580, 9529, 568, 22105, 26347, 1273, 3121, 269, 3057, 580, 9529, 616, 606, 5993, 267, 10786, 2030, 602, 10953, 2261, 3019, 267, 10538, 267, 2699, 267, 6404, 543, 8645, 23469, 5810, 543, 12851, 547, 519, 1290, 1842, 527, 2801, 1920, 540, 2371, 269, 634, 2030, 568, 5156, 547, 723, 12090, 538, 1715, 6792, 267, 18335, 543, 538, 824, 2694, 540, 3162, 3013, 543, 568, 5258, 883, 2185, 1114, 2249, 267, 799, 616, 3943, 2261, 580, 9529, 267, 17266, 2261, 580, 9529, 267, 3979, 2261, 580, 9529, 543, 2468, 680, 6950, 12171, 1638, 8382, 28825, 763, 3621, 2012, 585, 782, 2010, 540, 17605, 568, 1106, 545, 13160, 269, 901, 4564, 1018, 3744, 543, 3173, 1289, 519, 1920, 2012, 585, 17605, 269, 4165, 338, 19665, 538, 519, 1931, 1728, 5443, 30601, 267, 799, 849, 2882, 10987, 543, 729, 1186, 12171, 1638, 8382, 3436, 0, 272, 269, 589, 1422, 340, 1001, 764, 531, 9725, 6529, 315, 340, 1001, 323, 20077, 5553, 3516, 676, 519, 12736, 928, 321, 6210, 14316, 949, 1683, 519, 1101, 2963, 602, 519, 3345, 1977, 12075, 723, 2919, 4359, 2407, 268, 1032, 30300, 1513, 1666, 532, 873, 593, 9836, 24666, 8343, 563, 874, 6664, 919, 602, 25772, 1185, 1044, 4847, 547, 29746, 883, 519, 4279, 20463, 563, 10490, 264, 4389, 519, 2179, 540, 8485, 919, 602, 25772, 1185, 1044, 4847, 547, 29746, 454, 16360, 264, 4389, 519, 19552, 2179, 602, 25772, 1185, 1044, 546, 18804, 454, 18154, 264, 6971, 519, 19552, 2179, 25772, 723, 1044, 4847, 547, 29746, 454, 20573, 264, 4389, 519, 2179, 540, 8485, 919, 602, 25772, 616, 4847, 547, 29746, 454, 27887, 264, 6971, 519, 2179, 540, 8485, 919, 4847, 585, 546, 18804, 676, 25772, 454, 2421, 606, 1977, 4807, 563, 10490, 264, 621, 729, 1152, 519, 2034, 3370, 676, 606, 1977, 4807, 454, 16360, 264, 621, 729, 1152, 519, 2034, 602, 606, 1977, 4807, 3370, 454, 18154, 264, 519, 2034, 835, 1152, 3370, 676, 606, 1977, 4807, 454, 20573, 264, 519, 2034, 835, 1152, 602, 606, 1977, 4807, 3370, 454, 27887, 264, 1152, 519, 2034, 3370, 676, 606, 1977, 4807, 454, 1729, 334, 2673, 547, 1804, 15191, 9817, 585, 1279, 5712, 540, 942, 563, 10490, 264, 513, 12343, 540, 9361, 1932, 2673, 547, 1804, 15191, 9817, 585, 1279, 5712, 540, 942, 454, 16360, 264, 513, 12343, 689, 9361, 585, 1279, 5712, 540, 942, 1932, 2282, 547, 1804, 15191, 9817, 454, 18154, 264, 513, 12343, 799, 8507, 689, 9361, 1932, 2673, 547, 1804, 15191, 9817, 585, 1279, 454, 1492, 4492, 267, 1818, 27307, 1454, 4443, 543, 26428, 10825, 811, 3533, 563, 10490, 264, 26428, 10825, 454, 16360, 264, 18723, 19082, 454, 18154, 264, 26428, 616, 3361, 547, 3262, 454, 20573, 264, 4929, 26428, 547, 3262, 454, 27887, 264, 4929, 10825, 540, 519, 26428, 454, 10175, 15131, 267, 9345, 267, 543, 20440, 563, 10490, 264, 689, 513, 835, 22240, 1603, 3732, 602, 621, 666, 2708, 454, 16360, 264, 689, 513, 835, 22240, 1603, 3732, 621, 814, 519, 2702, 540, 12570, 454, 18154, 264, 519, 2702, 267, 689, 513, 835, 22240, 1603, 3732, 267, 540, 12570, 454, 20573, 264, 547, 581, 2111, 267, 689, 513, 835, 22240, 1603, 3732, 267, 547, 2708, 454, 27887, 264, 1373, 2111, 547, 2708, 267, 689, 513, 835, 22240, 1603, 3732, 2676, 279, 269, 589, 5458, 10760, 16277, 850, 602, 5747, 856, 609, 519, 17878, 930, 476, 4792, 2929, 1296, 3516, 267, 519, 2372, 28856, 531, 1723, 520, 331, 639, 1185, 513, 12209, 3966, 540, 476, 3607, 3952, 267, 5156, 547, 581, 519, 4102, 10760, 13442, 519, 1158, 814, 2479, 2938, 563, 10490, 264, 5156, 547, 581, 454, 16360, 264, 543, 602, 568, 5156, 547, 581, 454, 18154, 264, 543, 621, 568, 5156, 547, 723, 1044, 454, 20573, 264, 799, 729, 267, 621, 568, 5156, 2676, 27887, 264, 799, 568, 5156, 547, 581, 454, 1015, 269, 589, 1804, 4473, 538, 519, 1297, 540, 8027, 6238, 538, 519, 4947, 1032, 1058, 5818, 1007, 454, 18586, 9489, 676, 1896, 5479, 9489, 267, 1818, 519, 4070, 454, 8114, 2722, 315, 340, 1001, 280, 338, 2804, 1072, 1454, 811, 7347, 982, 2947, 1296, 3516, 563, 1321, 269, 589, 2370, 896, 513, 2929, 1296, 3516, 267, 519, 1490, 4176, 7297, 540, 519, 27397, 7256, 3459, 454, 4148, 797, 532, 883, 519, 4411, 3345, 9533, 281, 2520, 5505, 616, 1869, 3181, 908, 2436, 519, 454, 4148, 797, 729, 16795, 610, 2813, 513, 3032, 659, 569, 8243, 563, 1607, 2962, 1522, 711, 581, 2009, 547, 3768, 334, 269, 3657, 596, 2386, 596, 1616, 547, 3136, 286, 0, 763, 7089, 476, 1839, 281, 16544, 543, 6399, 902, 28269, 11790, 540, 476, 1839, 284, 276, 343, 276, 563, 1839, 568, 513, 2578, 1229, 12384, 7089, 563, 1839, 568, 513, 2578, 1229, 4239, 21192, 7089, 563, 1839, 568, 513, 595, 1638, 523, 7089, 563, 1839, 568, 519, 2040, 540, 519, 1101, 476, 276, 9642, 2338, 563, 1839, 568, 606, 4239, 320, 14366, 7089, 563, 1839, 568, 519, 10545, 4009, 602, 666, 581, 2854, 607, 513, 2040, 540, 476, 273, 10945, 563, 763, 11906, 27100, 631, 22462, 3150, 814, 606, 10570, 1297, 540, 476, 1839, 563, 1839, 2230, 2516, 616, 1261, 343, 21192, 630, 274, 24670, 1916, 1839, 568, 519, 1297, 540, 2395, 5111, 602, 3217, 519, 3141, 547, 798, 513, 2347, 10047, 593, 3294, 563, 763, 476, 1839, 840, 32383, 540, 10067, 5889, 341, 4275, 540, 519, 27454, 1143, 563, 763, 22985, 27074, 31615, 571, 568, 7768, 540, 476, 1839, 24424, 454, 23742, 332, 281, 476, 1839, 628, 28914, 563, 763, 5729, 476, 1839, 5084, 1103, 519, 1032, 476, 1839, 5084, 589, 15252, 595, 8145, 583, 3780, 24778, 639, 267, 4936, 14787, 267, 5747, 563, 1103, 519, 1032, 476, 1839, 5084, 13198, 1195, 836, 2968, 519, 3854, 540, 519, 8109, 12390, 19092, 563, 18704, 1022, 3601, 543, 10096, 585, 1880, 10606, 1862, 4186, 716, 803, 2047, 267, 7064, 269, 0, 14294, 531, 6675, 4734, 835, 22813, 689, 602, 4439, 2421, 3364, 267, 10581, 2066, 513, 7934, 267, 543, 616, 13603, 909, 676, 13364, 593, 519, 824, 22813, 269, 769, 713, 1259, 267, 1344, 568, 10299, 689, 1591, 547, 1591, 2560, 543, 3206, 568, 2009, 563, 3719, 7064, 547, 513, 19619, 540, 4436, 3744, 910, 649, 1631, 723, 513, 1454, 811, 2347, 543, 4977, 4605, 269, 1358, 4076, 2813, 519, 1101, 23963, 4977, 476, 274, 291, 2203, 540, 513, 5348, 25443, 536, 719, 517, 630, 7474, 4439, 2421, 3787, 264, 2347, 609, 1169, 3940, 543, 11118, 25063, 3693, 563, 1607, 4674, 814, 1044, 1500, 2009, 1152, 676, 513, 5698, 540, 12665, 538, 6475, 22794, 267, 2706, 22822, 1769, 22794, 630, 4306, 3633, 1070, 2527, 26563, 4479, 267, 543, 11050, 1979, 17190, 563, 338, 904, 519, 2046, 5305, 269, 634, 2203, 8761, 513, 2898, 1158, 540, 23798, 7996, 547, 581, 8268, 269, 19196, 1746, 8631, 2336, 290, 13072, 281, 18148, 717, 269, 30247, 267, 6129, 527, 13495, 611, 267, 590, 1597, 22427, 1188, 523, 15842, 19049, 267, 22186, 541, 2088, 918, 337, 7238, 18255, 1068, 267, 2441, 2088, 5576, 7564, 2536, 267, 8738, 330, 14551, 681, 2459, 1676, 267, 1530, 784, 808, 5622, 918, 5622, 267, 717, 8403, 589, 269, 1849, 320, 29967, 523, 267, 7812, 26689, 1380, 267, 5292, 12027, 670, 14072, 651, 267, 7009, 940, 7984, 331, 879, 321, 267, 8125, 341, 1470, 744, 269, 681, 11170, 10008, 454, 32507, 27023, 1235, 723, 606, 9058, 4161, 547, 1294, 875, 519, 2634, 1568, 269, 898, 3252, 865, 3533, 543, 568, 865, 29822, 20651, 609, 22813, 5121, 543, 741, 5885, 2281, 267, 2029, 568, 711, 2943, 4359, 2614, 547, 1450, 721, 547, 1294, 3388, 693, 2899, 269, 1809, 1007, 2409, 543, 4066, 616, 7683, 9687, 282, 1934, 779, 606, 3239, 540, 513, 2898, 14858, 3630, 8127, 2634, 9575, 538, 519, 1184, 11488, 6835, 269, 5272, 6505, 5544, 538, 519, 4605, 568, 606, 1367, 22813, 4904, 609, 7513, 1107, 606, 9357, 602, 17160, 883, 519, 8229, 1591, 950, 621, 15920, 513, 5048, 269, 901, 1505, 6087, 3173, 547, 1294, 875, 519, 2898, 2634, 1568, 1927, 543, 1294, 875, 519, 11852, 540, 2582, 11409, 1039, 1927, 538, 519, 3677, 3060, 269, 2060, 2409, 899, 713, 621, 1223, 581, 2009, 547, 4786, 519, 1599, 540, 1169, 22813, 3060, 538, 519, 2634, 267, 4543, 547, 22942, 519, 2014, 540, 4713, 899, 20560, 610, 18624, 563, 1607, 568, 513, 7990, 995, 20105, 998, 606, 1313, 641, 1910, 3732, 1107, 513, 2634, 3144, 689, 606, 476, 10695, 1032, 6040, 4807, 269, 4414, 267, 3039, 543, 4544, 24638, 24470, 5031, 1114, 3114, 2048, 332, 612, 1137, 8730, 1572, 683, 2202, 696, 1938, 267, 1373, 2366, 1063, 12058, 2281, 630, 928, 584, 976, 1040, 5565, 540, 891, 6835, 630, 330, 1170, 701, 696, 514, 267, 31002, 538, 2699, 543, 5778, 7219, 514, 267, 4544, 264, 1419, 960, 1927, 630, 3333, 1144, 1141, 741, 20718, 24470, 3132, 1625, 1255, 10943, 617, 2471, 264, 547, 9594, 28377, 540, 16891, 611, 582, 1886, 514, 3146, 548, 2084, 9449, 267, 606, 1271, 26273, 540, 12680, 543, 12093, 269, 1809, 713, 11361, 14799, 779, 2634, 1185, 849, 1044, 11488, 513, 1114, 3114, 5048, 630, 11357, 560, 766, 623, 267, 25549, 3039, 264, 693, 519, 1482, 942, 1107, 543, 1419, 689, 519, 1482, 11409, 607, 21098, 701, 696, 514, 630, 335, 18166, 5835, 10943, 617, 2471, 264, 610, 5778, 7219, 514, 630, 339, 584, 638, 18857, 1070, 610, 1256, 538, 513, 17784, 2173, 20687, 2036, 334, 630, 19009, 1040, 3026, 584, 976, 8876, 6219, 623, 616, 811, 726, 550, 3814, 538, 519, 12058, 540, 11361, 2021, 982, 2367, 267, 11021, 621, 1223, 1404, 513, 4105, 1909, 538, 2048, 4319, 3931, 685, 9449, 7939, 538, 519, 4775, 2634, 1282, 519, 22797, 563, 10468, 584, 976, 616, 13042, 538, 2789, 4778, 609, 11020, 11312, 28264, 22794, 269, 8422, 24638, 5946, 630, 1097, 534, 267, 5835, 543, 2699, 264, 616, 14477, 3144, 909, 676, 1585, 11409, 267, 5356, 513, 29984, 540, 19421, 540, 4778, 547, 948, 3744, 1246, 1950, 8849, 11444, 269, 1744, 1144, 1934, 568, 513, 2947, 6377, 6040, 29588, 3165, 12586, 9366, 9763, 689, 519, 24725, 2427, 267, 9676, 1210, 513, 476, 736, 311, 6662, 563, 15862, 5491, 281, 3220, 269, 15751, 7754, 267, 12370, 2160, 267, 11062, 267, 7136, 1421, 772, 2529, 563, 23382, 795, 749, 625, 616, 3504, 7286, 11975, 4171, 2036, 6438, 524, 23158, 18195, 1769, 607, 789, 7669, 269, 4437, 5505, 616, 27278, 676, 741, 3810, 8966, 8401, 1949, 563, 2691, 15182, 573, 5651, 9926, 267, 513, 5778, 27023, 626, 693, 519, 18724, 2284, 12524, 585, 13149, 645, 3930, 7220, 538, 853, 269, 27596, 267, 4469, 320, 1421, 1101, 3459, 4974, 2036, 795, 749, 625, 267, 646, 729, 7138, 1194, 269, 1261, 6785, 519, 18642, 4262, 7068, 1185, 8229, 2281, 2443, 3743, 267, 1851, 824, 1919, 267, 585, 32427, 908, 519, 546, 691, 532, 540, 741, 17895, 8163, 543, 519, 10726, 540, 741, 3352, 1938 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5474, 1107, 602, 781, 3642, 14617, 1514, 2923, 10229, 269, 1656, 3314, 8835, 2857, 2056, 3688, 1759, 593, 2250, 16306, 286, 962, 1575, 267, 602, 781, 849, 13324, 676, 3642, 2439, 3086, 1946, 1058, 649, 1416, 827, 782, 713, 286, 4270, 267, 1101, 569, 267, 1620, 3642, 1522, 8300, 596, 547, 1831, 513, 10509, 3048, 1807, 14693, 256, 19627, 267, 6616, 875, 4213, 946, 1239, 547, 2087, 6075, 2833, 3947, 596, 1271, 4030, 607, 1312, 513, 7082, 543, 2104, 3375, 20536, 269, 14936, 267, 1565, 827, 3642, 1631, 22316, 596, 585, 1164, 1153, 5396, 1141, 2029, 4249, 513, 8273, 1909, 269, 1924, 1832, 3695, 543, 723, 1187, 12423, 519, 2479, 19145, 3059, 1158, 1472, 721, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 24281, 938, 3059, 5251, 267, 1507, 4213, 616, 7683, 5275, 5499, 2081, 547, 3251, 6619, 540, 519, 6735, 543, 11694, 741, 6725, 3646, 269, 2290, 971, 4640, 602, 814, 1044, 11543, 20086, 568, 3642, 12454, 6725, 269, 1635, 19713, 519, 1379, 540, 5841, 4987, 267, 1507, 4213, 666, 22499, 741, 6725, 1935, 267, 3056, 547, 2799, 4398, 267, 8476, 13389, 267, 543, 6038, 267, 2362, 21614, 296, 563, 1103, 713, 2376, 267, 649, 786, 5490, 883, 519, 1158, 540, 3642, 12454, 6725, 267, 3695, 922, 2956, 585, 1507, 4213, 267, 519, 2640, 621, 3091, 267, 4052, 6388, 2994, 267, 3811, 2013, 2090, 267, 1761, 2591, 267, 543, 519, 3078, 2104, 621, 6585, 585, 1507, 1870, 6725, 269, 1403, 596, 2461, 513, 1507, 1870, 8227, 3168, 547, 1491, 707, 6725, 547, 519, 1985, 1377, 267, 713, 2376, 568, 513, 1590, 22345, 563, 268, 3642, 12454, 6725, 666, 2333, 4398, 267, 7607, 267, 543, 1942, 9806, 585, 1507, 4213, 563, 268, 1635, 9001, 26962, 267, 3642, 14617, 1514, 2923, 10229, 267, 543, 10531, 552, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 769, 713, 1576, 1770, 267, 649, 5490, 883, 519, 7706, 540, 6805, 22158, 543, 4008, 2090, 998, 519, 7828, 540, 5339, 9880, 269, 3776, 1445, 786, 581, 593, 519, 6041, 540, 6805, 2021, 781, 4703, 543, 2833, 1369, 7499, 7215, 267, 4481, 6313, 519, 7418, 540, 16159, 590, 269, 670, 3326, 529, 1849, 904, 517, 269, 1284, 786, 2263, 875, 1200, 960, 12969, 338, 609, 4207, 5717, 1472, 1232, 565, 11102, 640, 267, 3961, 6214, 267, 543, 2022, 24645, 3069, 780, 20058, 267, 621, 568, 1271, 547, 1174, 1018, 649, 1611, 950, 649, 3277, 547, 6805, 22158, 269, 901, 2165, 4016, 547, 513, 7936, 540, 15594, 2090, 602, 11394, 547, 4099, 519, 9739, 543, 2833, 540, 6805, 2021, 267, 9301, 741, 2189, 9620, 543, 4187, 1996, 19525, 267, 13348, 8944, 267, 543, 16851, 269, 898, 11363, 519, 2956, 540, 2146, 267, 2528, 267, 543, 17035, 538, 5935, 6805, 2021, 781, 9163, 543, 8116, 269, 1635, 7421, 519, 2081, 538, 799, 6805, 2021, 616, 6719, 538, 1585, 3029, 540, 2923, 267, 1519, 3308, 6575, 267, 3332, 267, 543, 4670, 267, 649, 666, 2744, 4030, 883, 6626, 6848, 8456, 2509, 5198, 267, 4008, 267, 543, 1379, 780, 3080, 1883, 1523, 8268, 538, 1849, 904, 517, 781, 960, 568, 519, 6041, 540, 519, 4775, 1560, 538, 1148, 269, 2701, 6212, 593, 519, 2081, 538, 799, 5159, 723, 13840, 13269, 2021, 781, 4703, 607, 3615, 540, 7287, 267, 12796, 2305, 267, 543, 14226, 269, 1280, 1383, 267, 538, 1200, 1433, 834, 303, 20557, 11146, 2437, 1849, 904, 517, 7710, 875, 14382, 3191, 729, 17814, 538, 3943, 1148, 1282, 519, 12705, 626, 5736, 269, 3414, 713, 2079, 267, 1352, 8761, 519, 1950, 3347, 1063, 4008, 267, 14920, 267, 543, 2804, 1949, 267, 10223, 519, 2081, 538, 799, 2021, 781, 4703, 941, 1031, 607, 6698, 540, 24041, 5385, 780, 1607, 6249, 24889, 9244, 609, 4207, 9840, 4478, 519, 1843, 2305, 540, 6805, 2021, 781, 4703, 538, 2442, 2528, 269, 3245, 6752, 22099, 10023, 7111, 1977, 2212, 323, 19843, 547, 21035, 8874, 18995, 6805, 2021, 607, 16678, 2648, 4690, 267, 891, 11269, 1419, 12927, 11475, 543, 28511, 5208, 1996, 6805, 2950, 269, 4475, 267, 9691, 2502, 609, 891, 2592, 543, 10002, 22326, 741, 5817, 10054, 568, 2629, 585, 5807, 3152, 4656, 543, 5009, 1514, 5126, 780, 5194, 1713, 2460, 540, 1849, 904, 517, 781, 1382, 568, 519, 6514, 540, 1148, 781, 1909, 538, 1514, 543, 2797, 7526, 269, 10801, 1686, 267, 1148, 814, 6039, 1312, 607, 513, 1907, 585, 15746, 543, 513, 1797, 540, 4187, 269, 1635, 4974, 519, 2078, 1063, 1148, 2504, 543, 1914, 19205, 8658, 267, 5640, 899, 1849, 904, 517, 8774, 1769, 593, 519, 2081, 538, 799, 12790, 2516, 723, 8246, 3860, 4082, 547, 7682, 741, 8116, 543, 4161, 8789, 6386, 780, 1103, 6935, 547, 6805, 8706, 3359, 267, 713, 1935, 2636, 721, 547, 4983, 875, 6805, 2021, 723, 10244, 539, 519, 1379, 540, 1148, 547, 24808, 741, 1378, 2984, 543, 1016, 3200, 13416, 11994, 269, 12634, 6805, 5159, 971, 607, 31929, 5617, 3467, 267, 12756, 670, 1575, 7615, 267, 543, 24385, 807, 3733, 516, 2308, 3309, 23447, 1107, 689, 2773, 1148, 547, 10380, 4773, 1107, 547, 16472, 3936, 2401, 19525, 267, 12167, 585, 2825, 6940, 267, 543, 8661, 6805, 6043, 780, 13010, 267, 1849, 904, 517, 781, 8561, 593, 519, 10167, 540, 1148, 543, 2029, 3091, 3407, 4030, 883, 519, 3059, 2085, 781, 1764, 593, 6805, 15594, 17933, 269, 4317, 2923, 5867, 267, 5691, 4641, 5054, 267, 543, 824, 6932, 4066, 1683, 1007, 18817, 585, 6805, 2021, 547, 24244, 741, 9739, 267, 1628, 17604, 5121, 267, 543, 4497, 538, 3444, 14426, 5188, 269, 2311, 519, 1482, 942, 267, 789, 849, 10460, 2591, 1644, 547, 7834, 267, 3354, 267, 543, 7214, 3959, 2924, 267, 8506, 6297, 7156, 543, 2565, 8086, 780, 1103, 3932, 267, 3695, 590, 269, 670, 3326, 529, 1849, 904, 517, 781, 14046, 7418, 998, 519, 5943, 540, 6805, 8706, 3359, 543, 4008, 2090, 6087, 721, 547, 15052, 938, 1620, 540, 3140, 543, 4207, 2152, 7282, 6041, 267, 1379, 6384, 267, 543, 4187, 2994, 269, 1306, 649, 5659, 519, 2081, 538, 799, 6805, 2021, 781, 4703, 543, 2833, 616, 13269, 538, 1148, 543, 2923, 267, 649, 1590, 2611, 18906, 633, 547, 519, 1950, 16799, 540, 7292, 267, 575, 25311, 267, 543, 1362, 2861, 2188, 602, 3337, 891, 11269, 269, 5047, 267, 2502, 609, 28928, 6639, 2645, 2488, 3255, 585, 2417, 16882, 543, 4254, 16478, 1247, 8195, 9306, 1007, 5683, 21140, 543, 4145, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 14006, 539, 676, 595, 8150, 2443, 5437, 476, 3066, 267, 476, 1708, 274, 454, 763, 31692, 1639, 10104, 8400, 693, 519, 476, 12208, 628, 595, 8150, 16316, 10985, 786, 8956, 519, 28601, 4876, 540, 590, 269, 670, 3326, 529, 1849, 904, 517, 269, 1849, 904, 517, 814, 1044, 693, 519, 21282, 540, 1148, 1686, 14172, 607, 851, 540, 519, 1101, 5108, 540, 15594, 19174, 4171, 960, 7740, 593, 11269, 540, 519, 4775, 1560, 267, 519, 1909, 540, 1148, 538, 1514, 543, 2797, 4655, 267, 543, 519, 10167, 540, 1148, 543, 2029, 563, 295, 3326, 529, 1849, 904, 517, 568, 7905, 9622, 7534, 540, 3203, 3778, 543, 19161, 523, 27213, 7905, 9622, 7534, 538, 519, 28299, 693, 3345, 13523, 2160, 1141, 1352, 6026, 585, 13977, 19317, 1296, 267, 1443, 2358, 8938, 5498, 1597, 25719, 4744, 31277, 269, 589, 11285, 538, 13524, 10601, 3864, 1148, 267, 1352, 814, 3370, 4922, 593, 1148, 2259, 538, 8303, 607, 1134, 607, 1098, 520, 23007, 2686, 15377, 267, 2523, 1346, 1063, 5333, 543, 519, 2136, 2276, 269, 4173, 2835, 1331, 10266, 1540, 11146, 281, 1160, 560, 3191, 538, 3943, 3203, 540, 519, 6764, 1833, 626, 16527, 630, 312, 1446, 2160, 4964, 267, 476, 1960, 272, 1070, 8303, 538, 2677, 335, 1515, 281, 3203, 543, 28064, 5020, 7201, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 700, 25604, 14473, 595, 6020, 12087, 26113, 1315, 7087, 1315, 7087, 12339, 514, 3359, 543, 13834, 5525, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 769, 2487, 1296, 267, 972, 814, 1044, 3395, 1719, 538, 13520, 15209, 607, 513, 4264, 1106, 540, 6683, 602, 666, 1683, 1312, 9932, 543, 26853, 2533, 269, 1717, 267, 2757, 2409, 540, 13520, 15209, 723, 16941, 8185, 593, 1480, 4074, 543, 8343, 267, 799, 666, 581, 942, 21791, 543, 791, 13440, 1047, 269, 1677, 2232, 713, 4161, 267, 3173, 543, 11639, 723, 5828, 547, 2029, 543, 4702, 3435, 267, 1519, 519, 1646, 540, 13520, 7888, 19025, 780, 6524, 18167, 883, 519, 25727, 540, 13520, 7888, 20473, 2029, 267, 621, 781, 1271, 547, 1174, 930, 2596, 3741, 540, 13520, 7350, 543, 2623, 269, 26006, 32048, 616, 1514, 7786, 602, 2661, 538, 10125, 9967, 540, 5215, 540, 2043, 269, 3962, 12733, 814, 513, 2582, 15596, 945, 23933, 5798, 267, 2059, 609, 3875, 11832, 10987, 3743, 585, 4247, 971, 607, 8808, 267, 7738, 267, 1368, 8973, 267, 543, 25061, 585, 22060, 543, 14947, 269, 9442, 1369, 519, 554, 633, 568, 19658, 998, 1950, 7544, 5322, 267, 1634, 607, 530, 12000, 548, 23929, 267, 799, 6655, 1344, 827, 519, 4087, 543, 2298, 540, 1426, 2959, 780, 3080, 1883, 4161, 538, 13520, 15209, 568, 5464, 519, 1072, 543, 7607, 540, 1367, 32105, 269, 901, 3335, 3340, 2834, 3308, 24422, 267, 1282, 799, 13520, 26283, 1413, 585, 4191, 540, 2068, 267, 15495, 267, 610, 824, 2042, 269, 1717, 267, 891, 24422, 666, 581, 17173, 585, 519, 10987, 543, 949, 7519, 741, 3339, 5615, 269, 5047, 267, 789, 2154, 1713, 942, 543, 4674, 593, 519, 851, 540, 519, 13520, 24010, 780, 11767, 13520, 7888, 20473, 2029, 269, 1635, 1210, 30313, 2740, 19666, 6472, 630, 308, 16787, 338, 264, 9280, 609, 8596, 543, 12514, 267, 13520, 26283, 666, 20716, 6895, 554, 633, 2175, 1510, 23892, 519, 10987, 269, 1280, 1383, 267, 8143, 9196, 666, 7866, 28326, 26105, 1369, 519, 554, 633, 602, 949, 5815, 2068, 610, 23588, 267, 1247, 3381, 22089, 666, 948, 2697, 1761, 3123, 540, 12733, 12900, 4524, 630, 6717, 291, 1070, 513, 7613, 538, 799, 3003, 10125, 12357, 569, 14897, 269, 3958, 267, 3684, 1565, 6620, 666, 5659, 8301, 19827, 540, 18388, 532, 4992, 547, 3713, 11029, 2242, 538, 4908, 543, 17931, 602, 949, 5365, 11605, 610, 771, 528, 1304, 566, 1851, 519, 10987, 780, 19741, 6071, 5464, 267, 20473, 2029, 849, 6585, 9153, 585, 811, 3742, 7459, 538, 1489, 540, 13520, 1072, 269, 2290, 7872, 3322, 11766, 532, 1507, 13421, 540, 19025, 547, 28729, 3542, 3729, 7031, 267, 4227, 519, 991, 585, 8261, 4074, 543, 2810, 4398, 269, 6271, 2856, 568, 547, 16491, 19025, 609, 20538, 10936, 619, 5827, 540, 12419, 6098, 13066, 540, 13851, 610, 11955, 547, 4299, 2127, 540, 519, 554, 633, 269, 12846, 1776, 3498, 896, 7156, 568, 519, 946, 540, 772, 16787, 338, 547, 3560, 30842, 1063, 1114, 6753, 267, 7175, 4028, 1270, 324, 2287, 538, 2665, 1141, 4540, 10125, 723, 1831, 18604, 610, 30428, 780, 8170, 1576, 267, 1022, 4901, 540, 20473, 2029, 1590, 2015, 922, 5683, 6286, 607, 1134, 269, 2755, 6552, 5464, 3091, 2312, 2640, 538, 2474, 540, 4389, 31593, 543, 2799, 6111, 267, 972, 3788, 6161, 827, 7834, 19374, 543, 519, 1761, 585, 21568, 269, 5015, 267, 4352, 13520, 7888, 19025, 616, 2966, 547, 7413, 2800, 547, 519, 7786, 2933, 267, 21611, 610, 23659, 17313, 1223, 1869, 1267, 538, 5945, 610, 2669, 269, 4935, 267, 6297, 7939, 543, 23388, 786, 581, 1898, 547, 2327, 602, 891 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 18749, 547, 20870, 1040, 634, 2472, 540, 713, 2069, 1062, 616, 4061, 2111, 547, 2921, 936, 513, 1297, 540, 1896, 2010, 540, 6009, 543, 5749, 1406, 18544, 540, 1022, 2582, 2816, 563, 20091, 543, 1603, 616, 4493, 5759, 799, 616, 15007, 958, 4362, 538, 519, 1101, 1296, 540, 3119, 1153, 269, 2991, 3119, 1153, 267, 2370, 835, 814, 547, 979, 547, 14451, 12729, 1299, 18520, 3427, 630, 277, 628, 547, 20870, 1040, 1703, 568, 19756, 16315, 602, 1310, 476, 1428, 1296, 540, 11022, 19199, 267, 519, 2338, 540, 1292, 3506, 1185, 7283, 11979, 267, 543, 972, 729, 2370, 610, 1100, 2333, 538, 3099, 540, 1053, 2921, 11400, 563, 9961, 713, 1974, 519, 634, 2296, 5101, 3127, 7577, 9676, 811, 4025, 540, 3127, 269, 1403, 782, 3214, 4283, 3119, 1153, 693, 2085, 476, 277, 543, 10927, 1310, 476, 277, 1296, 267, 519, 1101, 715, 2207, 543, 717, 2207, 1522, 581, 7229, 607, 5205, 269, 32167, 2812, 945, 1185, 711, 12913, 713, 616, 711, 15868, 547, 1376, 856, 2101, 1153, 607, 789, 616, 2469, 547, 581, 8947, 1354, 4358, 269, 0, 292, 5183, 22230, 11190, 26102, 268, 274, 281, 13245, 674, 1846, 674, 697, 12870, 454, 2421, 3220, 269, 14105, 15223, 3559, 1014, 454, 23763, 547, 581, 18668, 286, 16202, 1447, 22938, 1426, 543, 811, 3165, 563, 291, 2884, 4249, 513, 2629, 1909, 538, 7099, 4713, 269, 3194, 2982, 602, 3536, 1164, 538, 15060, 268, 274, 9761, 7408, 666, 4339, 4606, 540, 4965, 269, 17957, 267, 3536, 16041, 609, 2241, 19719, 666, 3142, 596, 1524, 269, 3371, 779, 875, 563, 14722, 723, 1336, 602, 6553, 538, 519, 2634, 4249, 513, 1713, 1909, 538, 4965, 269, 7849, 6464, 1572, 1097, 339, 758, 1149, 2014, 713, 2634, 6553, 269, 1403, 596, 2479, 1185, 513, 1970, 7099, 610, 5433, 20158, 1282, 610, 1310, 513, 3983, 2013, 540, 519, 2770, 267, 1287, 596, 917, 1101, 1688, 875, 891, 29299, 267, 799, 616, 5950, 676, 519, 4761, 1062, 267, 1860, 707, 2634, 269, 7261, 339, 758, 1149, 849, 2014, 2530, 540, 14031, 267, 12012, 3207, 3270, 543, 9854, 563, 293, 6136, 267, 29299, 543, 824, 6878, 602, 2014, 6553, 616, 6766, 676, 2732, 269, 1879, 596, 3548, 6266, 540, 3165, 610, 3536, 609, 15060, 268, 274, 9761, 7408, 267, 707, 1560, 786, 1118, 7864, 12982, 29299, 269, 4475, 267, 513, 2732, 547, 8396, 4965, 1058, 7048, 8185, 593, 3165, 543, 824, 3536, 602, 2539, 6553, 267, 971, 607, 5388, 269, 16639, 602, 2333, 6553, 1331, 1346, 609, 2241, 11950, 267, 971, 607, 2250, 1845, 267, 26265, 267, 4672, 8645, 267, 10931, 1563, 10425, 267, 543, 538, 2489, 1018, 649, 1289, 968, 329, 6064, 3536, 9731, 19013, 267, 950, 513, 3461, 4422, 547, 519, 4387, 4743, 20158, 267, 621, 568, 12691, 602, 519, 10629, 786, 798, 513, 8192, 1686, 269, 4107, 2693, 267, 519, 4387, 786, 7485, 856, 519, 13310, 14950, 543, 2328, 1776, 24196, 656, 7097, 1354, 596, 666, 1256, 11963, 968, 24119, 1833, 1848, 1703, 616, 1082, 3123, 585, 4965, 269, 10791, 568, 835, 2014, 602, 568, 1419, 15763, 563, 4407, 1004, 609, 5312, 4965, 1058, 2141, 581, 896, 513, 4387, 779, 1416, 267, 789, 949, 1265, 602, 513, 2732, 602, 23352, 2241, 19719, 1247, 2810, 2635, 15060, 268, 274, 9600, 568, 519, 1655, 4915, 563, 1607, 2376, 5526, 21806, 540, 7216, 547, 22547, 779, 11192, 2657, 16505, 10843, 338, 267, 5356, 4244, 3435, 585, 2247, 267, 1560, 543, 9997, 269, 1280, 513, 5360, 21747, 20478, 267, 1471, 603, 1777, 335, 2517, 4178, 6745, 4973, 8234, 19874, 10843, 338, 2593, 13045, 314, 10955, 269, 8074, 281, 14105, 15223, 3559, 1014, 267, 631, 6185, 1421, 568, 513, 8026, 10629, 543, 1655, 5498, 29818, 2278, 269, 1261, 568, 513, 3056, 6392, 593, 2067, 9360, 543, 6484, 269, 1280, 519, 5767, 1382, 593, 5214, 2081, 547, 2087, 707, 1072, 543, 1134, 1373, 267, 4945, 1934, 20426, 0, 4131, 779, 2911, 513, 2370, 10509, 563, 763, 12379, 327, 729, 3710, 676, 9256, 1896, 2907, 268, 2169, 656, 840, 4211, 3326, 8985, 4066, 269, 634, 1101, 568, 3059, 5925, 563, 2304, 11530, 5925, 630, 20365, 7537, 779, 543, 29482, 779, 264, 23119, 689, 5365, 22887, 6672, 281, 519, 2417, 596, 616, 689, 519, 2707, 267, 519, 21260, 519, 13739, 630, 1492, 9875, 621, 568, 547, 13498, 1040, 901, 3884, 1406, 513, 5276, 2078, 281, 1034, 540, 519, 6749, 11325, 4523, 1360, 3533, 269, 898, 849, 23119, 689, 13779, 630, 6518, 596, 666, 5873, 607, 11979, 1916, 19445, 5925, 9104, 919, 585, 1312, 269, 2311, 1084, 6672, 568, 7168, 1454, 11201, 281, 519, 5365, 13978, 5266, 3586, 2394, 1360, 5176, 519, 6316, 540, 519, 2039, 267, 1287, 12772, 1055, 10393, 269, 898, 779, 849, 13337, 27031, 282, 1360, 2370, 11979, 563, 763, 2034, 10509, 568, 3301, 3989, 5925, 269, 2353, 12379, 327, 9136, 616, 3301, 3989, 2234, 3930, 269, 1323, 590, 11403, 30283, 5925, 8800, 630, 332, 1460, 619, 267, 7586, 13294, 267, 3092, 4700, 609, 3301, 282, 519, 1152, 4062, 540, 3937, 596, 2965, 991, 568, 606, 19215, 267, 3388, 3116, 4523, 538, 519, 2780, 563, 306, 11403, 814, 3875, 2640, 936, 8800, 2234, 3930, 269, 898, 666, 946, 2789, 10873, 630, 663, 6467, 1063, 873, 693, 786, 1070, 621, 666, 4188, 13739, 4222, 547, 519, 5934, 2838, 593, 7308, 1922, 569, 630, 516, 706, 1424, 13779, 609, 824, 9136, 593, 519, 1482, 8756, 1070, 543, 621, 666, 811, 3362, 3713, 25861, 6786, 630, 320, 2565, 5413, 585, 519, 2110, 24859, 12379, 327, 1916, 763, 2063, 2029, 568, 519, 1110, 655, 267, 519, 1110, 15975, 24683, 617, 15975, 269, 7913, 6786, 616, 23876, 865, 789, 666, 581, 10299, 267, 543, 4607, 6786, 616, 1232, 10757, 1394, 883, 3059, 1344, 269, 630, 1103, 519, 12379, 327, 267, 713, 568, 513, 4062, 540, 3301, 267, 711, 8800, 8094, 307, 2586, 1927, 267, 891, 1614, 4066, 1106, 519, 7658, 1260, 2460, 540, 519, 12379, 327, 269, 3973, 972, 616, 519, 10873, 281, 3652, 607, 547, 875, 519, 3060, 786, 7500, 563, 763, 12379, 327, 17337, 909, 519, 2110, 24859, 12451, 883, 476, 2004, 5094, 9055, 269, 2290, 6843, 13739, 338, 593, 835, 8756, 267, 543, 11392, 593, 519, 824, 476, 5392, 269, 630, 300, 21983, 13033, 1797, 782, 6786, 616, 2366, 547, 267, 543, 4607, 676, 267, 1169, 6843, 693, 519, 1482, 942, 269, 901, 568, 13714, 730, 676, 519, 2168, 2470, 540, 5925, 3294, 8094, 288, 3597, 6843, 814, 513, 1808, 543, 11603, 8756, 267, 782, 824, 9136, 1205, 1018, 2230, 568, 2139, 267, 1283, 547, 5377, 267, 1101, 2275, 727, 23867, 1606, 5703, 269, 5221, 3345, 3013, 1152, 814, 476, 1789, 5665, 9136, 267, 602, 1797, 519, 5377, 476, 736, 9055, 616, 2356, 30694, 676, 3044, 12379, 327, 6808, 563, 5278, 9136, 15395, 543, 946, 873, 585, 3606, 18993, 3827, 630, 323, 12874, 1782, 741, 19961, 1070, 930, 585, 26134, 18993, 3827, 630, 1729, 2327, 2565, 1344, 568, 4607, 1070, 930, 585, 1875, 5991, 1712, 12379, 327, 18993, 3827, 630, 5228, 2516, 856, 538, 519, 4934, 18721, 1070, 543, 930, 676, 19266, 622, 5925, 12427, 585, 4890, 5639, 18993, 3827, 269, 630, 9336, 7853, 554, 919, 1346, 16921, 4700, 2353, 540, 891, 3096, 616, 593, 513, 20314, 1890, 26209, 4493, 282, 952, 3044, 12379, 327, 6808, 2479, 2877, 519, 2230, 267, 789, 8910, 581, 19774, 563, 314, 9616, 281, 2334, 5037, 24502, 513, 19619, 540, 4277, 4259, 9623, 538, 513, 1360, 9395, 2230, 269, 623, 597, 622, 5925, 543, 1875, 5991, 1712, 12379, 327, 6808, 723, 4277, 4539, 267, 543, 4277, 3096, 267, 543, 594, 4126, 547, 1205, 1394, 547, 873, 693, 930, 1448, 24358, 8170, 519, 476, 1789, 9136, 538, 3345, 3013, 267, 5216, 616, 3597, 9136, 281, 835, 1142, 585, 519, 2185, 12658, 2829, 267, 7132, 519, 674, 291, 29369, 267, 7147, 267, 2473, 12011, 520, 340, 267, 543, 26551, 269, 8109, 4516, 267, 14522, 267, 543, 6792, 723, 782, 4294, 585, 3597, 27121, 267, 855, 10093, 1406, 1044, 11292, 873, 2943, 269, 1358, 1142, 723, 9136, 267, 1175, 711, 14468, 3597, 9136, 269, 630, 2005, 3085, 1406, 948, 602, 519, 1614, 1135, 885, 616, 3622, 2150, 27434, 267, 2348, 8088, 725, 585, 5667, 822, 800, 4308, 902, 269, 1133, 3286, 569, 865, 538, 6792, 779, 2013, 8094, 2026, 609, 519, 2804, 3877, 267, 891, 2930, 3877, 4465, 1406, 2408, 538, 519, 3803, 2328, 1575, 269, 1358, 2461, 3730, 547, 5581, 519, 9165, 543, 2470, 540, 519, 12379, 327, 585, 1250, 5301, 267, 855, 5716, 543, 10648, 779, 786, 2760, 723, 547, 1174, 1018, 789, 1611, 824, 982, 281, 621, 779, 3500, 543, 1166, 21294, 267, 543, 519, 3532, 267, 4448, 267, 610, 3638, 723, 546, 756, 338, 269, 630, 296, 6557, 20994, 269, 968, 26212, 640, 1848, 590, 3089, 13522, 543, 524, 1258, 625, 723, 968, 335, 1874, 640, 892, 4700, 0, 9596, 875, 5216, 2021, 1336, 29426, 1967, 267, 741, 1764, 593, 2486, 543, 519, 2591, 789, 5185, 2679, 741, 4213, 269, 4014, 1100, 1079, 2021, 723, 519, 1482, 15322, 267, 741, 7104, 5796, 5932, 2947, 1271, 4030, 883, 2021, 11262, 4213, 912, 268, 4658, 543, 2528, 281, 634, 2021, 11639, 1527, 6150, 5059, 593, 1004, 1107, 5520, 267, 21527, 543, 5561, 1107, 607, 1454, 607, 593, 519, 1870, 3294, 269, 1358, 6836, 547, 1711, 2754, 4529, 602, 5280, 1004, 3914, 741, 2407, 1761, 563, 268, 4065, 267, 1995, 543, 513, 2370, 9939, 281, 3509, 1589, 20835, 6238, 609, 513, 1870, 2856, 267, 855, 972, 568, 811, 547, 621, 982, 602, 269, 634, 2021, 11639, 1527, 6150, 12236, 5232, 543, 6591, 1870, 1995, 602, 5280, 873, 2697, 513, 6848, 610, 2686, 6521, 267, 7934, 610, 4652, 2683, 991, 602, 267, 538, 2490, 267, 11461, 741, 1870, 2203, 563, 268, 7457, 547, 3854, 281, 589, 1883, 6249, 602, 7153, 585, 782, 729, 519, 2956, 540, 17034, 3854, 269, 8307, 1079, 540, 519, 2021, 1527, 6150, 8179, 9698, 9520, 269, 14520, 1582, 30845, 741, 4213, 267, 16462, 547, 1832, 741, 13190, 543, 2226, 741, 1004, 25700, 2528, 563, 268, 22990, 3050, 543, 27277, 281, 634, 2021, 26906, 4951, 602, 22745, 513, 2754, 3340, 1312, 27277, 543, 6043, 269, 1358, 782, 5185, 543, 22848, 877, 14488, 267, 855, 941, 13974, 2182, 2914, 1600, 609, 606, 1620, 602, 22303, 941, 1175, 851, 540, 519, 3460, 563, 268, 634, 2956, 540, 2021, 779, 5718, 281, 2353, 540, 519, 2021, 1527, 6150, 945, 3323, 741, 11678, 538, 519, 476, 3192, 271, 338, 1767, 602, 2348, 1185, 811, 4775, 9164, 1131, 723, 1500, 741, 10092, 547, 1967, 1447, 818, 706, 748, 269, 9182, 267, 782, 540, 873, 1489, 7820, 2021, 267, 1312, 538, 1870, 543, 538, 741, 2950, 563, 5649, 519, 2407, 9043, 1934, 281, 654, 6865, 2894, 24202, 13673, 307, 3918, 11266, 2894, 31323, 6020, 3201, 808, 21788, 20911, 22076, 281, 11550, 293, 6579, 2464, 5442, 19845, 4696, 8991, 295, 7709, 5442, 4888, 661, 6938, 5508, 21832, 744, 13048, 18306, 7419, 296, 25765, 0, 29788, 2895, 267, 2786, 2895, 3799, 1735, 994, 534, 2895, 609, 20102, 5885, 642, 748, 810, 15077, 602, 814, 513, 2786, 8880, 970, 2784, 657, 543, 703, 2784, 657, 454, 763, 10230, 1871, 540, 2786, 2895, 538, 30634, 1372, 534, 23168, 1108, 568, 281, 476, 278, 454, 763, 10230, 1871, 540, 2786, 2895, 538, 25355, 23168, 1108, 568, 281, 476, 277, 454, 3412, 1137, 1299, 16503, 5928, 540, 2786, 2895, 454, 8340, 513, 8144, 585, 519, 2786, 2895, 4214, 538, 824, 4654, 912, 15675, 1776, 1893, 912, 28097, 891, 2786, 2895, 8847, 609, 519, 2146, 912, 17504, 540, 519, 4303, 454, 25898, 596, 899, 721, 547, 6494, 596, 513, 17676, 1007, 2262, 4214, 9447, 547, 707, 28600, 3232, 888, 8196, 519, 11239, 2630, 547, 1039, 713, 4214, 547, 707, 15853, 912, 257, 14259, 697, 2895, 1701, 26479, 14492, 269, 5254, 3198, 9169, 275, 20941, 267, 476, 1001, 279, 269, 5680, 269, 476, 2420, 3057, 269, 476, 1001, 279, 269, 2999, 10059, 2517, 4178, 269, 3698, 20532, 14492, 270, 3698, 6873, 270, 14259, 697, 2895, 20101, 0, 15578, 17886, 32578, 306, 8120, 547, 853, 600, 5112, 15167, 547, 556, 10276, 716, 519, 4583, 6370, 540, 476, 11793, 277, 563, 14532, 3357, 547, 1272, 950, 513, 1279, 29539, 2407, 540, 21847, 4737, 539, 909, 519, 5211, 14216, 20852, 547, 519, 8498, 543, 1305, 909, 3786, 1354, 6849, 909, 547, 741, 590, 19414, 14763, 563, 15703, 2395, 540, 2534, 3323, 950, 513, 10935, 2903, 540, 21785, 28164, 8452, 693, 645, 1301 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5257, 5257, 454, 26536, 328, 1228, 589, 828, 3279, 798, 5696, 553, 559, 454, 307, 1815, 333, 860, 5362, 3447, 30685, 9820, 454, 4504, 1238, 322, 7776, 513, 3473, 528, 527, 21573, 910, 476, 1001, 280, 454, 2246, 528, 281, 14780, 18223, 674, 269, 590, 269, 1855, 1460, 324, 4275, 692, 292, 4614, 1982, 320, 682, 562, 6746, 657, 552, 679, 4186, 571, 552, 791, 31870, 522, 12103, 1640, 1642, 525, 454, 25332, 2925, 513, 1609, 337, 583, 3120, 10221, 527, 10216, 13005, 1151, 340, 23843, 18257, 692, 333, 815, 703, 9272, 3488, 23797, 657, 562, 14243, 1067, 657, 1583, 14244, 19984, 657, 286, 1412, 4917, 11133, 815, 703, 9272, 3488, 1103, 845, 324, 19804, 562, 14243, 1067, 334, 281, 1412, 4917, 2742, 1640, 815, 1003, 3248, 328, 815, 476, 272, 454, 6112, 1775, 10922, 562, 268, 272, 912, 825, 1003, 815, 703, 9272, 3488, 1103, 845, 324, 19804, 562, 14243, 1067, 334, 281, 1412, 4917, 825, 952, 12103, 1640, 2999, 1003, 912, 1038, 12103, 1640, 815, 1003, 454, 825, 1775, 815, 1775, 1341, 476, 272, 692, 2745, 2891, 302, 12103, 1640, 562, 14243, 1067, 334, 20527, 281, 14307, 12103, 1640, 11850, 0, 258, 7383, 570, 330, 5793, 22443, 547, 946, 621, 543, 12189, 9949, 692, 5228, 28184, 5793, 1104, 22443, 607, 28184, 299, 8475, 692, 258, 7383, 782, 3351, 689, 562, 339, 330, 269, 583, 2812, 692, 5228, 562, 339, 330, 269, 583, 2812, 1104, 2608, 692, 258, 7383, 12005, 12005, 307, 330, 689, 623, 6579, 692, 5228, 623, 6579, 1104, 12005, 267, 12005, 307, 330, 692, 5035, 22443, 6025, 330, 299, 8475, 17107, 825, 1948, 6003, 1362, 666, 581, 1572, 2899, 519, 3597, 28184, 568, 3989, 454, 825, 1948, 1152, 835, 1590, 2838, 2361, 568, 3597, 799, 568, 519, 1022, 540, 11097, 1326, 692, 825, 1948, 824, 4164, 338, 666, 581, 1305, 547, 1205, 1114, 1826, 540, 1374, 454, 825, 1948, 855, 713, 568, 849, 9053, 1374, 547, 946, 538, 707, 6885, 692, 825, 1948, 1169, 1374, 568, 2688, 543, 666, 581, 1305, 7466, 454, 825, 1948, 22443, 3236, 786, 2270, 519, 3490, 28184, 5793, 6003, 3236, 1175, 609, 9168, 6163, 543, 2409, 692, 825, 1948, 2332, 1505, 568, 3478, 782, 540, 707, 7440, 454, 825, 1948, 543, 20438, 7440, 454, 825, 1948, 543, 8429, 1644, 454, 825, 1948, 543, 7164, 4164, 338, 454, 825, 1948, 543, 26571, 547, 28184, 5793, 7406, 692, 825, 1948, 865, 952, 621, 2014, 606, 5470, 1034, 4440, 621, 781, 3478, 689, 28184, 5793, 6003, 1843, 454, 825, 1948, 1294, 707, 782, 7440, 543, 17161, 568, 5885, 676, 22443, 610, 28184, 5793, 6003, 692, 825, 1219, 6449, 8181, 9191, 1345, 2676, 4449, 3597, 267, 1948, 3597, 568, 513, 4487, 6885, 547, 1747, 713, 6003, 883, 621, 454, 4449, 1257, 6889, 6124, 6003, 2580, 1948, 6003, 1257, 1871, 454, 4449, 1948, 536, 326, 6889, 321, 326, 2000, 697, 20350, 4449, 1948, 535, 326, 6889, 325, 326, 1673, 1046, 20350, 4449, 15254, 22561, 267, 1948, 6003, 1257, 4756, 454, 4449, 2013, 6889, 12294, 2580, 1948, 1257, 2511, 2539, 5580, 3092, 454, 4449, 8700, 25716, 267, 1948, 6003, 8700, 454, 4449, 3239, 22561, 267, 1948, 6003, 3239, 454, 4449, 3239, 18316, 25716, 267, 1948, 3239, 3758, 547, 3478, 3239, 1843, 689, 621, 454, 4449, 3239, 15481, 14352, 3953, 267, 476, 3953, 1070, 1948, 3239, 2450, 547, 3478, 3239, 538, 2688, 2450, 689, 3239, 3758, 454, 4449, 2990, 6889, 3847, 2580, 1948, 3239, 543, 1257, 2990, 2451, 1318, 4099, 454, 4449, 13944, 284, 3488, 9773, 756, 686, 3299, 476, 1015, 1070, 1948, 6003, 13944, 2511, 454, 4449, 4737, 284, 271, 267, 1948, 7470, 4737, 2990, 454, 4449, 6241, 284, 271, 267, 1948, 7470, 6241, 2990, 454, 4449, 9343, 3966, 284, 272, 267, 1948, 7470, 4737, 12732, 454, 4449, 9587, 3966, 284, 272, 267, 1948, 7470, 6241, 12732, 454, 4449, 14950, 343, 14352, 276, 267, 476, 276, 1070, 1948, 7470, 14950, 3429, 2451, 543, 1318, 454, 4449, 533, 8014, 14352, 276, 267, 476, 276, 1070, 1948, 7470, 14950, 3429, 1283, 543, 5377, 454, 4449, 28258, 8014, 284, 1015, 267, 1948, 7470, 4835, 14950, 3429, 1283, 543, 5377, 454, 4449, 20202, 8782, 342, 3299, 1948, 7470, 20202, 2990, 454, 4449, 3259, 25716, 267, 1948, 6003, 16833, 3259, 8700, 454, 4449, 2608, 16911, 267, 2878, 29220, 16911, 1948, 3063, 7440, 543, 20438, 7440, 454, 2018, 3738, 1384, 1038, 1948, 13944, 2511, 16956, 4733, 692, 1038, 1948, 13944, 1920, 1281, 711, 1689, 454, 1038, 13944, 6958, 13637, 815, 13944, 314, 271, 6540, 1038, 1948, 13944, 2450, 568, 6422, 676, 4159, 8700, 454, 1038, 13944, 15481, 815, 554, 6600, 2632, 314, 272, 8079, 910, 476, 272, 692, 1038, 1948, 13944, 2597, 3478, 689, 2511, 454, 1038, 1948, 952, 621, 711, 1305, 3339, 2511, 786, 581, 4294, 454, 1038, 13944, 318, 7076, 815, 13944, 314, 273, 316, 952, 7003, 6600, 2632, 264, 3436, 476, 273, 3116, 1412, 7538, 28847, 1038, 1948, 556, 1305, 782, 2511, 1927, 454, 1038, 13944, 815, 630, 325, 2632, 6958, 13637, 267, 13944, 15481, 267, 13944, 318, 7076, 2020, 1038, 1948, 13944, 815, 630, 325, 2632, 314, 271, 3910, 554, 6600, 2632, 314, 272, 8079, 268, 272, 267, 13944, 314, 273, 316, 952, 7003, 6600, 2632, 264, 285, 273, 3116, 1412, 7538, 17210, 1038, 952, 2013, 2652, 834, 12294, 257, 1384, 2018, 1948, 2638, 952, 1257, 2013, 568, 2539, 454, 2018, 1948, 543, 952, 2539, 1305, 1257, 883, 27608, 692, 2018, 512, 815, 1257, 31573, 10797, 1038, 8640, 2013, 2652, 834, 21639, 257, 1384, 2018, 1948, 2638, 952, 1257, 2013, 568, 5580, 454, 2018, 1948, 543, 952, 5580, 1305, 1257, 883, 26627, 27664, 692, 2018, 512, 815, 1257, 269, 21639, 10797, 1038, 3116, 1384, 2018, 1948, 952, 1257, 2013, 568, 711, 2539, 610, 711, 5580, 454, 2018, 1948, 1305, 1257, 2013, 883, 31194, 692, 2018, 512, 815, 1257, 269, 5115, 1388, 1125, 10797, 1038, 2706, 27331, 8475, 267, 1582, 1040, 1029, 8181, 9191, 10174, 2676, 4449, 7386, 1257, 284, 339, 2676, 4449, 7386, 1257, 19702, 762, 284, 12534, 2676, 4449, 7386, 8700, 284, 12296, 952, 8700, 3116, 7003, 29495, 1070, 1948, 1305, 8700, 952, 8700, 3116, 1305, 3259, 540, 1257, 454, 4449, 7386, 13944, 284, 325, 2632, 2676, 4449, 7386, 3239, 284, 13548, 2676, 4449, 7386, 7623, 284, 6570, 2676, 4449, 7386, 12109, 680, 2654, 284, 26319, 952, 3259, 3116, 7003, 6025, 264, 2608, 476, 1015, 267, 1948, 1305, 3259, 952, 3259, 3116, 6422, 454, 4449, 7386, 2608, 16911, 267, 2878, 29220, 16911, 454, 4449, 3546, 25589, 1038, 1948, 19022, 7470, 8850, 454, 1038, 1948, 865, 596, 1810, 1405, 991, 547, 11291, 621, 1586, 454, 1038, 1948, 1175, 1780, 519, 7470, 4164, 338, 609, 6003, 1362, 692, 1038, 1582, 26942, 18692, 3546, 4737, 284, 992, 267, 1948, 7470, 4737, 2990, 454, 3546, 6241, 284, 26383, 267, 1948, 7470, 6241, 2990, 454, 3546, 9343, 3966, 284, 4900, 3966, 267, 1948, 7470, 4737, 12732, 454, 3546, 9587, 3966, 284, 3712, 8435, 3966, 267, 1948, 7470, 6241, 12732, 454, 3546, 14950, 343, 284, 25247, 343, 267, 1948, 7470, 14950, 3429, 2451, 543, 1318, 454, 3546, 533, 8014, 284, 335, 8014, 267, 1948, 7470, 14950, 3429, 1283, 543, 5377, 454, 3546, 28258, 8014, 284, 760, 8014, 267, 1948, 7470, 4835, 14950, 3429, 1283, 543, 5377, 454, 3546, 20202, 284, 22496, 344, 1948, 7470, 20202, 2990, 454, 2018, 25589, 1038, 1948, 2638, 952, 3239, 18316, 568, 5293, 692, 1038, 952, 3239, 18316, 1384, 2018, 1948, 1930, 3239, 676, 623, 6579, 12005, 692, 2018, 1582, 269, 19112, 18316, 815, 12005, 269, 13449, 263, 13548, 18316, 2020, 2018, 1948, 759, 1125, 3239, 676, 3177, 3239, 2450, 692, 2018, 1582, 269, 19112, 18316, 815, 1582, 269, 19112, 18316, 269, 637, 1125, 263, 13548, 15481, 267, 12005, 269, 3198, 2316, 3201, 296, 3008, 2020, 2018, 1948, 1205, 3239, 1843, 689, 3239, 3758, 1843, 692, 2018, 1582, 269, 13548, 815, 12005, 307, 330, 269, 20124, 15862, 4311, 269, 19112, 18316, 2020, 2018, 1948, 556, 19022, 3239, 1843, 454, 2018, 1948, 556, 19022, 8700, 689, 3239, 2450, 454, 2018, 1948, 556, 19022, 4463, 689, 3239, 2450, 692, 2018, 1582, 26769, 14808, 18692, 7386, 3239, 284, 1345, 269, 13548, 2676, 7386, 8700, 284, 13548, 15481, 314, 271, 27994, 1345, 9131, 12296, 11172, 2676, 7386, 4463, 284, 13548, 15481, 314, 272, 2639, 3546, 12467, 0, 5228, 705, 322, 1104, 7493, 24709, 7531, 5035, 29807, 518, 912, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1780, 692, 825, 7711, 629, 5724, 24709, 454, 825, 1219, 9041, 16344, 17575, 4311, 267, 4994, 267, 1666, 17575, 25716, 267, 6207, 25716, 2187, 1038, 1780, 692, 825, 1219, 32197, 4311, 267, 4994, 267, 1666, 17575, 25716, 267, 6207, 25716, 2187, 1038, 2132, 1582, 11519, 16344, 17575, 263, 8161, 267, 1666, 17575, 284, 21353, 17575, 267, 6207, 284, 11274, 5193, 2020, 825, 1219, 2083, 523, 1868, 4311, 267, 1666, 17575, 25716, 267, 6207, 25716, 2187, 1038, 2132, 1496, 1345, 11519, 16344, 17575, 263, 8161, 267, 1666, 17575, 284, 21353, 17575, 267, 6207, 284, 11274, 5193, 264, 585, 4994, 538, 2039, 12759, 4311, 4297, 6540, 0, 18851, 1477, 295, 272, 289, 966, 26721, 10790, 311, 744, 7473, 595, 3201, 290, 8085, 2969, 3036, 1477, 18851, 5897, 5814, 30220, 5897, 18782, 318, 1410, 1080, 815, 1496, 15947, 20135, 5091, 904, 318, 719, 2515, 815, 476, 271, 5897, 3698, 2445, 318, 18782, 318, 1410, 1080, 28399, 476, 5727, 1477, 476, 5727, 1477, 476, 2518, 7127, 318, 1410, 1080, 1477, 476, 811, 318, 4148, 698, 815, 1412, 344, 262, 1477, 476, 1247, 811, 318, 4148, 698, 711, 538, 18358, 301, 3299, 1412, 333, 11172, 6769, 825, 24303, 815, 3403, 2891, 11767, 519, 13673, 15045, 312, 610, 12327, 3951, 4266, 630, 12613, 22230, 291, 270, 312, 312, 312, 312, 2567, 834, 3418, 825, 4570, 815, 19472, 5091, 622, 5560, 339, 3418, 825, 952, 711, 4570, 6769, 8587, 1820, 2891, 8923, 4283, 513, 4570, 13673, 15045, 312, 610, 12327, 3951, 4266, 1701, 3418, 8587, 3136, 1477, 825, 7127, 318, 1410, 1080, 6910, 5560, 339, 3418, 825, 811, 318, 4148, 698, 815, 3403, 2891, 2791, 1616, 547, 4283, 811, 7389, 630, 312, 21610, 21663, 834, 3418, 476, 7127, 318, 1410, 1080, 815, 15044, 263, 18782, 318, 1410, 1080, 267, 1883, 284, 14433, 1535, 281, 30220, 6155, 520, 8135, 269, 1598, 696, 830, 3287, 267, 1412, 260, 332, 270, 260, 323, 270, 260, 312, 10807, 10142, 3698, 19472, 5091, 622, 5560, 622, 26748, 8029, 476, 5727, 1477, 476, 5727, 1477, 476, 2119, 6769, 825, 30220, 6155, 520, 8135, 269, 1598, 696, 830, 5560, 622, 26748, 267, 1412, 260, 332, 270, 260, 323, 270, 260, 312, 20298, 476, 4849, 28759, 6769, 825, 1820, 2891, 18823, 8091, 4266, 3898, 267, 1058, 581, 27493, 22230, 291, 270, 312, 312, 312, 312, 14744, 825, 2132, 8771, 1477, 476, 2132, 6936, 5897, 3698, 1100, 15058, 5091, 904, 318, 719, 2515, 28399, 476, 5727, 1477, 476, 5727, 1477, 476, 2518, 2698, 5091, 904, 318, 719, 2515, 1477, 476, 585, 967, 538, 2039, 12759, 263, 18782, 318, 1410, 1080, 9984, 272, 25011, 272, 15311, 273, 316, 6769, 825, 14827, 5091, 339, 318, 28128, 815, 30220, 6155, 520, 8135, 269, 1598, 696, 830, 263, 18782, 318, 1410, 1080, 314, 785, 3910, 834, 260, 332, 270, 260, 323, 270, 260, 312, 14744, 825, 7127, 5091, 339, 318, 28128, 815, 30220, 6155, 520, 8135, 269, 1598, 696, 830, 263, 18782, 318, 1410, 1080, 314, 785, 266, 272, 3910, 834, 260, 332, 270, 260, 323, 270, 260, 312, 14744, 825, 2395, 815, 630, 18782, 5091, 339, 318, 28128, 910, 14827, 5091, 339, 318, 28128, 1040, 17058, 1477, 825, 2698, 5091, 904, 318, 719, 2515, 6834, 2395, 1477, 476, 1820, 2891, 13707, 1297, 540, 2395, 3544, 2197, 281, 14307, 2698, 5091, 904, 318, 719, 2515, 10142, 3698, 1205, 26174, 719, 5091, 622, 28399, 476, 7127, 5091, 622, 815, 30220, 6155, 520, 8135, 269, 1598, 696, 830, 263, 18782, 318, 1410, 1080, 314, 271, 3910, 834, 260, 332, 270, 260, 323, 270, 260, 312, 14744, 476, 1976, 26174, 318, 719, 5091, 622, 815, 7127, 5091, 622, 18622, 2897, 12169, 792, 284, 18782, 5091, 622, 13885, 792, 266, 277, 3418, 476, 1820, 2891, 3036, 5456, 2562, 3201, 10790, 311, 744, 7473, 667, 12442, 281, 14307, 1976, 26174, 318, 719, 5091, 622, 269, 1598, 1111, 830, 2891, 260, 332, 270, 260, 323, 270, 260, 312, 8442, 3418, 476, 1007, 26174, 318, 719, 5091, 622, 815, 1976, 26174, 318, 719, 5091, 622, 1341, 30220, 6745, 574, 539, 12265, 5560 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 923, 3132, 546, 4900, 1465, 267, 1793, 13899, 4633, 267, 543, 2530, 540, 11558, 563, 3080, 540, 519, 12178, 540, 519, 1244, 816, 656, 13322, 1693, 13090, 568, 602, 621, 666, 581, 6404, 609, 4568, 543, 711, 581, 8068, 563, 26589, 609, 25933, 267, 13322, 27702, 568, 519, 3075, 1034, 5702, 2404, 609, 10795, 6760, 563, 303, 5674, 1774, 267, 700, 16256, 267, 543, 7193, 303, 267, 2010, 540, 13322, 30668, 666, 3132, 3665, 4160, 267, 4250, 267, 543, 1612, 8457, 807, 563, 19284, 824, 26884, 5061, 267, 26390, 514, 11077, 10355, 1291, 547, 13322, 13090, 563, 3080, 3804, 540, 513, 3075, 2389, 13015, 1982, 568, 547, 2061, 13322, 1693, 13090, 267, 513, 2132, 547, 1210, 5061, 1247, 3843, 547, 9156, 689, 3075, 8213, 563, 13981, 875, 547, 12843, 3947, 513, 1268, 942, 547, 2786, 523, 856, 1010, 610, 1200, 4606, 543, 7794, 741, 8207, 1996, 705, 6748, 5061, 563, 303, 9573, 267, 11337, 8533, 267, 610, 23435, 289, 454, 534, 1278, 2012, 585, 519, 26390, 514, 4094, 7193, 303, 454, 320, 8102, 656, 1031, 547, 1521, 11838, 454, 20813, 1258, 1154, 513, 3075, 3593, 827, 1010, 610, 1200, 1966, 547, 3247, 1864, 610, 1200, 689, 1210, 5061, 454, 323, 2607, 338, 602, 616, 1031, 585, 16351, 5301, 454, 323, 2607, 338, 540, 6057, 454, 320, 2132, 547, 1210, 5061, 1247, 3843, 547, 9156, 689, 3075, 8213, 454, 821, 540, 519, 12178, 540, 1210, 23254, 1218, 454, 338, 5844, 2879, 858, 532, 2669, 6794, 454, 1432, 2360, 798, 31067, 32669, 689, 930, 2241, 7622, 6878, 723, 593, 519, 2634, 286, 8745, 2947, 563, 299, 1601, 540, 5075, 543, 11558, 267, 2634, 3441, 267, 635, 320, 267, 2669, 540, 2634, 2281, 454, 11243, 1079, 3656, 8102, 1218, 269, 1215, 4049, 616, 741, 2360, 593, 519, 1560, 888, 290, 25377, 710, 543, 15522, 616, 1079, 3656, 8102, 1218, 602, 723, 9425, 7646, 2360, 540, 519, 1560, 563, 1432, 616, 10363, 5061, 513, 2101, 3815, 538, 286, 8745, 1614, 1919, 563, 6624, 647, 15969, 267, 5179, 6174, 10913, 267, 543, 10963, 454, 11243, 1614, 2126, 4485, 585, 23232, 3075, 705, 22852, 563, 1321, 1900, 3292, 267, 30229, 13508, 267, 543, 10821, 2950, 454, 8448, 5036, 676, 713, 17082, 454, 2419, 269, 476, 272, 2657, 543, 25682, 476, 277, 628, 6103, 454, 306, 655, 6856, 4530, 932, 269, 476, 272, 268, 275, 476, 279, 628, 6103, 454, 308, 2529, 269, 3778, 12054, 6856, 476, 273, 4530, 476, 279, 628, 6103, 454, 2419, 269, 476, 275, 19737, 10076, 543, 16508, 2657, 476, 279, 628, 3400, 7498, 27775, 2105, 1837, 3435, 454, 294, 6352, 1723, 324, 5487, 6428, 644, 632, 17485, 808, 6759, 1597, 525, 267, 4354, 810, 476, 274, 454, 305, 710, 28496, 267, 12736, 8725, 543, 4591, 339, 454, 8448, 13658, 2280, 5036, 454, 6637, 476, 1428, 631, 28566, 476, 31134, 454, 514, 1181, 1049, 6725, 981, 476, 272, 454, 6637, 476, 866, 910, 7464, 24529, 3883, 5999, 0, 27908, 687, 540, 1004, 945, 4235, 4568, 2760, 2887, 6408, 547, 519, 829, 2812, 540, 4568, 8213, 855, 1346, 945, 798, 917, 20250, 519, 4539, 543, 519, 12178, 602, 2097, 689, 713, 5732, 14603, 2068, 269, 18127, 4568, 6057, 568, 1419, 519, 1101, 1129, 540, 4568, 8213, 543, 267, 952, 2451, 15860, 267, 786, 1419, 3356, 547, 513, 3942, 540, 2168, 543, 5626, 13829, 593, 4568, 602, 568, 1312, 2352, 543, 5906, 547, 1521, 269, 18127, 4568, 6057, 814, 5732, 14686, 4539, 543, 666, 1291, 547, 1272, 17116, 4576, 563, 3519, 25119, 540, 18127, 15850, 18816, 454, 6624, 4539, 2291, 8164, 1022, 6219, 568, 26884, 269, 634, 10335, 540, 519, 4539, 602, 666, 581, 2404, 609, 6219, 6057, 4096, 7361, 593, 519, 1826, 540, 6219, 602, 568, 1373, 1031, 269, 1280, 3236, 267, 4568, 6057, 666, 1291, 547, 513, 1297, 540, 16609, 2175, 543, 4539, 1519, 667, 21397, 267, 8373, 609, 519, 1876, 267, 2883, 16132, 267, 2530, 540, 513, 2816, 267, 2530, 540, 7607, 267, 8373, 538, 1153, 267, 2078, 2042, 543, 513, 1297, 540, 1072, 2042, 563, 763, 1377, 543, 10335, 540, 519, 4539, 602, 1142, 1367, 945, 10425, 786, 7985, 689, 4096, 593, 1142, 2189, 3510, 269, 1280, 3236, 267, 930, 1004, 2760, 4235, 543, 5397, 269, 1306, 513, 1267, 267, 1346, 1004, 949, 2760, 723, 547, 4308, 609, 519, 12343, 540, 513, 667, 21397, 855, 789, 1223, 1360, 1134, 723, 3656, 13542, 971, 607, 1857, 883, 343, 1709, 610, 513, 2147, 5279, 269, 8409, 945, 723, 1453, 666, 1205, 883, 8373, 585, 1373, 26583, 1472, 741, 1453, 543, 949, 1256, 6336, 741, 3214, 547, 1126, 8825, 2533, 1765, 517, 519, 1166, 2354, 728, 267, 606, 1367, 945, 10425, 12225, 1227, 543, 1281, 711, 723, 1453, 786, 2760, 7985, 713, 12343, 563, 10890, 31700, 23105, 609, 18127, 15850, 18816, 454, 2690, 606, 1367, 779, 1072, 267, 5312, 4568, 6057, 666, 1291, 547, 513, 1297, 540, 5732, 5906, 2175, 1519, 2068, 267, 2790, 4576, 267, 6797, 3441, 267, 8459, 3441, 267, 1418, 5821, 267, 2295, 2042, 267, 13119, 543, 1082, 824, 2042, 269, 898, 568, 711, 16613, 585, 606, 1367, 945, 28407, 4568, 547, 723, 2347, 6797, 610, 8459, 5821, 543, 547, 2154, 31533, 538, 1931, 547, 3136, 547, 2661, 269, 3509, 1279, 2165, 4235, 619, 1265, 602, 741, 8219, 616, 865, 8697, 607, 513, 1267, 540, 519, 4568, 4616, 602, 789, 1590, 10929, 1279, 3856, 267, 1272, 17489, 2126, 547, 3251, 9800, 563, 16391, 5821, 3884, 1406, 519, 1152, 2101, 1072, 6161, 2404, 609, 5312, 4568, 6057, 269, 14904, 945, 6057, 4568, 12225, 1227, 616, 2693, 547, 7985, 689, 1585, 3029, 540, 5626, 4576, 1932, 269, 17520, 543, 4965, 616, 1360, 1455, 1851, 1004, 945, 5781, 6057, 4568, 269, 769, 1249, 267, 519, 2557, 540, 11980, 4422, 909, 1360, 3648, 585, 1346, 945, 6057, 4568, 585, 513, 12675, 1974, 540, 942, 607, 1134, 607, 585, 1346, 945, 4235, 12225, 1227, 563, 20055, 585, 22206, 18996, 540, 15850, 18816, 454, 2252, 596, 917, 2576, 945, 23119, 689, 4568, 6057, 267, 621, 779, 1271, 547, 3343, 7525, 948, 269, 1703, 616, 2126, 3292, 267, 8213, 6051, 2409, 543, 7463, 1416, 4566, 799, 723, 1044, 2919, 547, 4217, 1346, 945, 616, 29279, 547, 4568, 538, 3478, 865, 828, 267, 9363, 865, 828, 543, 2713, 513, 2635, 1272, 269, 29407, 3292, 543, 2126, 3292, 602, 20647, 538, 8156, 4568, 8213, 666, 948, 1346, 945, 616, 29279, 547, 4568, 610, 945, 6057, 4568, 5781, 547, 1205, 1394, 593, 3950, 543, 547, 3251, 865, 828, 563, 10144, 945, 7985, 689, 5869, 514, 8213, 723, 606, 11212, 2352, 942, 20408, 519, 2168, 543, 5626, 13829, 593, 519, 3075, 269, 898, 814, 1044, 7150, 602, 1100, 824, 3075, 568, 811, 9308, 8200, 982, 606, 1566, 5573, 971, 607, 5869, 514, 543, 585, 519, 13982, 267, 713, 1797, 602, 3478, 948, 568, 711, 1152, 2352, 855, 666, 581, 11213, 2507, 563, 763, 5916, 2360, 540, 8213, 543, 2790, 4576, 1118, 12242, 5868, 2175, 930, 540, 519, 1034, 2352, 547, 1521, 269, 32680, 5868, 24412, 711, 1152, 25077, 609, 10770, 3075, 26351, 267, 855, 1590, 849, 4308, 609, 1253, 7675, 3929, 2829, 602, 2417, 24395, 622, 3075, 268, 6748, 2712, 2471, 269, 1280, 891, 4128, 267, 4466, 519, 1318, 1826, 540, 2126, 3587, 782, 519, 811, 2507, 563, 2026, 942, 31273, 593, 267, 606, 1367, 945, 23119, 689, 606, 8213, 666, 1831, 12816, 1524, 267, 13110, 267, 543, 1175, 10750, 20158, 950, 789, 6336, 4126, 540, 2479, 4742, 865, 828, 269, 3509, 616, 711, 2386, 875, 547, 2995, 950, 621, 568, 942, 585, 873, 547, 3343, 2126, 543, 865, 789, 798, 711, 3343, 2126, 267, 799, 666, 2014, 1082, 2507, 563, 11754, 2109, 568, 2182, 2614, 547, 10726, 267, 855, 950, 596, 3494, 519, 14868, 4478, 621, 267, 621, 779, 1256, 9875, 269, 3371, 616, 2947, 8213, 14868, 602, 3180, 596, 1394, 543, 519, 5168, 602, 666, 1305, 596, 1863, 269, 19088, 476, 272, 281, 1411, 2052, 6513, 898, 3143, 2339, 875, 1454, 596, 2119, 267, 596, 666, 1406, 1852, 707, 8213, 269, 634, 2025, 740, 720, 267, 968, 3080, 2507, 563, 2691, 621, 2501, 547, 705, 6748, 5061, 543, 4568, 267, 519, 4539, 666, 581, 3665, 269, 1703, 616, 3656, 29298, 267, 3441, 547, 1920, 3347, 267, 543, 2152, 602, 8451, 693, 960, 269, 1809, 513, 1455, 12136, 602, 3085, 1406, 1205, 513, 2603, 540, 1769, 695, 1441, 593, 621, 568, 519, 2078, 1063, 8213, 543, 26683, 269, 853, 1464, 1772, 10434, 585, 5410, 1112, 539, 15706, 13067, 6804, 1145, 2507, 563, 291, 2607, 26739, 6604, 568, 782, 827, 1818, 2386, 602, 596, 5431, 519, 4191, 540, 3075, 26739, 538, 4434, 538, 1931, 547, 2061, 971, 606, 2680, 689, 9648, 855, 875, 798, 3075, 11222, 7740, 948, 2061, 26739, 286, 1411, 949, 1589, 602, 3075, 11222, 7740, 616, 11603, 585, 1346, 945, 723, 2907, 882, 17863, 610, 585, 1346, 945, 2507, 563, 9336, 1032, 1282, 519, 2034, 3018, 540, 5988, 1082, 2621, 543, 3292, 1491, 1747, 538, 606, 4674, 547, 5818, 4656, 540, 519, 2042, 602, 2097, 585, 1453, 945, 616, 6659, 676, 23931, 3237, 269, 5753, 540, 15850, 923, 3018, 737, 6506, 1055, 713, 5988, 689, 519, 476, 1015, 268, 1626, 950, 1390, 1416, 786, 581, 3144, 547, 1118, 2386, 602, 3025, 2507, 563, 6097, 547, 519, 2817, 4659, 593, 10684, 18816, 267, 8213, 568, 606, 5393, 1950, 4576, 602, 6634, 540, 1004, 6560, 609, 1169, 1032, 269, 6145, 1082, 10108, 971, 607, 4965, 267, 8213, 7475, 547, 15972, 596, 883, 513, 2760, 10678, 4783, 269, 1403, 713, 4783, 568, 711, 7745, 676, 1945, 27290, 1287, 621, 786, 1175, 3136, 2394, 596, 607, 2507, 563, 6826, 24173, 2152, 616, 16609, 676, 2933, 855, 609, 519, 3773, 948, 540, 6219, 8213, 267, 789, 666, 581, 28659, 269, 3245, 7099, 1465, 547, 791, 6160, 2032, 267, 8965, 2152, 666, 1152, 581, 22541, 609, 519, 946, 540, 513, 6219, 543, 949, 2736, 909, 3347, 2059, 922, 16160, 2619, 269, 28548, 8213, 666, 4492, 8965, 2042, 538, 1082, 2081, 269, 634, 700, 3539, 10263, 2507, 563, 294, 990, 269, 25599, 8845, 543, 1010, 22277, 723, 1044, 1210, 606, 17062, 1062, 547, 6430, 950, 11652, 952, 23121, 11177, 8419, 7264, 685, 13359, 2924, 1310, 789, 723, 1044, 26722, 543, 6039, 942, 585, 513, 21688, 3415, 269, 901, 1062, 814, 6854, 811, 982, 476, 1015, 2600, 540, 2937, 7579, 573, 2103, 689, 1373, 2111, 547, 8917, 267, 543, 713, 7361, 2882, 1346, 945, 941, 16634, 0, 10403, 15026, 4563, 3778, 6478, 9612, 10658, 26072, 1107, 634, 2262, 3406, 7792, 568, 1187, 585, 3025, 540, 782, 6502, 269, 634, 2262, 11015, 568, 2653, 543, 1863, 547, 1820, 269, 898, 568, 5078, 585, 11255, 1404, 609, 3214, 610, 607, 513, 24925, 6377, 3014, 269, 769, 513, 2262, 14142, 3014, 267, 596, 666, 3605, 1913, 689, 782, 8846, 269, 634, 5022, 1106, 5220, 602, 616, 11231, 689, 2451, 543, 1318, 269, 15026, 30573, 13410, 2634, 751, 6471, 267, 30573, 11015, 666, 581, 1031, 547, 1449, 707, 3965, 563, 10403, 15026, 4563, 3778, 6478, 9612, 10658, 26072, 454, 10403, 15026, 4563, 3778, 6478, 9612, 10658, 26072, 1107, 1703, 616, 1079, 1292, 2010, 7792, 2262, 3406, 269, 634, 1101, 2186, 540, 7792, 2262, 3406, 568, 1863, 269, 898, 3096, 519, 4950, 2861, 8675, 269, 1411, 666, 4647, 621, 543, 1820, 621, 689, 707, 2780, 269, 634, 2034, 2186, 540, 7792, 2262, 3406, 568, 585, 513, 13927, 269, 901, 835, 568, 1863, 269, 24614, 713, 786, 1942, 596, 1175, 835, 610, 1079, 9489, 269, 8281, 513, 1863, 2262, 5498, 1105, 3732, 1934, 543, 4688, 621, 547, 707, 2780, 269, 898, 568, 1287, 2009, 547, 2285, 621, 547, 707, 1453, 563, 17504, 5498, 1105, 25258, 666, 581, 2813, 593, 519, 4950, 269, 634, 19343, 543, 21175, 25258, 616, 519, 1034, 2442, 269, 1452, 1079, 616, 1390, 585, 782, 6502, 269, 634, 1101, 835, 3568, 476, 1015, 21175, 2389, 1335, 539, 1913, 602, 707, 1453, 786, 2972, 267, 1247, 519, 2034, 835, 814, 21175, 30816, 1913, 269, 1411, 543, 707, 1920, 666, 1404, 519, 3014, 1927, 547, 1205, 547, 917, 1142, 1866, 269, 898, 568, 849, 2009, 547, 1039, 3606, 8292, 593, 519, 2262, 3406, 547, 1118, 621, 811, 17890, 610, 12863, 563, 763, 27223, 779, 4303, 267, 8285, 543, 27223, 779, 4303, 25258, 616, 519, 3791, 2186, 540, 7792, 2262, 3406, 269, 901, 11015, 2337, 12927, 519, 1554, 779, 10259, 3270, 269, 898, 779, 519, 4998, 11015, 585, 1453, 538, 10026 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 779, 1702, 540, 17001, 17071, 547, 602, 540, 12736, 1188, 601, 10458, 267, 593, 4171, 1521, 1047, 294, 539, 1678, 523, 3331, 376, 828, 5884, 715, 778, 1695, 332, 2426, 3541, 17680, 3663, 4593, 1156, 654, 518, 651, 538, 3541, 5689, 699, 328, 3768, 645, 843, 327, 879, 17064, 684, 560, 630, 11260, 276, 264, 1496, 15987, 1206, 593, 519, 1955, 2787, 540, 5259, 27006, 543, 6465, 7699, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 5149, 7170, 281, 4197, 4591, 617, 558, 528, 910, 589, 3004, 11551, 7926, 538, 12907, 781, 3778, 692, 7072, 912, 5331, 2713, 998, 513, 942, 950, 1426, 729, 17077, 267, 543, 596, 1185, 1360, 2370, 547, 3548, 269, 19759, 569, 267, 1082, 1004, 538, 12907, 4810, 713, 10792, 4641, 1282, 519, 2038, 476, 4350, 271, 338, 1813, 547, 606, 2680, 1572, 4591, 617, 558, 528, 269, 2913, 781, 1451, 811, 827, 1018, 5949, 543, 1946, 621, 781, 1898, 547, 3314, 713, 13249, 1974, 538, 1686, 780, 4089, 476, 272, 281, 1548, 12984, 4591, 617, 558, 528, 888, 29432, 29804, 617, 558, 528, 630, 14833, 2000, 2129, 26730, 268, 648, 264, 1797, 1412, 1372, 987, 676, 14000, 262, 610, 1412, 1410, 3410, 1588, 676, 14000, 9538, 898, 7018, 1063, 476, 4350, 273, 543, 476, 4350, 274, 950, 6634, 540, 19678, 2103, 5747, 1317, 540, 7142, 26380, 269, 1677, 1174, 875, 971, 513, 15265, 3364, 1223, 4755, 267, 1577, 781, 1491, 513, 1413, 693, 930, 2188, 602, 8329, 547, 713, 9568, 1384, 2162, 16748, 476, 272, 281, 11814, 643, 1436, 454, 1103, 606, 3801, 547, 2413, 1125, 6683, 267, 8168, 6205, 9478, 23237, 5189, 513, 3609, 1634, 607, 2445, 643, 1436, 269, 26478, 941, 2838, 547, 9192, 741, 2244, 543, 2200, 883, 1804, 267, 1533, 24804, 11396, 269, 3509, 6705, 5706, 539, 267, 4782, 2590, 547, 2226, 9562, 936, 741, 3601, 269, 1306, 513, 1267, 267, 789, 5185, 4049, 4539, 267, 1519, 10654, 267, 1244, 677, 566, 267, 543, 11056, 780, 2162, 16748, 476, 273, 281, 717, 1778, 10671, 9974, 454, 2414, 2417, 1852, 519, 6694, 5823, 267, 519, 2229, 24451, 1164, 10286, 9889, 553, 593, 891, 1007, 7104, 11396, 269, 1452, 7569, 2451, 13385, 1426, 7727, 585, 2199, 4616, 269, 6736, 4057, 3771, 341, 3949, 543, 7839, 7693, 5821, 267, 8128, 4797, 694, 1944, 2139, 9274, 24491, 8393, 269, 9182, 267, 972, 7012, 1405, 2614, 1426, 2451, 585, 519, 6705, 2933, 780, 1012, 8791, 476, 273, 281, 8177, 540, 4591, 617, 558, 528, 454, 28598, 763, 1764, 540, 4591, 617, 558, 528, 593, 12907, 543, 922, 1004, 3112, 581, 896, 26061, 269, 1323, 6059, 2185, 2929, 2729, 941, 4503, 1765, 32191, 835, 6709, 6621, 540, 519, 2197, 781, 2551, 256, 19198, 11124, 7494, 282, 3237, 14478, 27303, 569, 607, 741, 1453, 24906, 2476, 689, 14000, 269, 18877, 1835, 14217, 267, 6028, 3297, 2984, 540, 21817, 267, 2530, 267, 543, 796, 19960, 514, 762, 16236, 780, 256, 314, 288, 1920, 7092, 689, 519, 2360, 540, 519, 4591, 617, 558, 528, 28488, 13548, 318, 14766, 264, 346, 269, 22487, 8679, 15862, 6970, 1632, 281, 10060, 1324, 3885, 554, 3291, 1194, 1927, 9624, 519, 14042, 26380, 269, 2715, 269, 8619, 1632, 10926, 4089, 476, 274, 281, 5457, 532, 4591, 617, 558, 528, 4653, 454, 5785, 19030, 9213, 267, 649, 8956, 519, 8823, 540, 1346, 4299, 676, 4591, 617, 558, 528, 609, 1585, 16033, 894, 2238, 269, 2290, 1713, 2245, 4386, 12422, 593, 519, 2063, 14349, 540, 5437, 269, 4658, 1769, 22250, 543, 1747, 873, 2282, 9486, 607, 6698, 540, 1121, 27320, 543, 17604, 269, 5047, 267, 1142, 1032, 267, 19678, 2103, 7747, 513, 4090, 540, 16563, 693, 10502, 476, 275, 281, 876, 6751, 267, 19109, 643, 942, 267, 10452, 2390, 519, 8904, 540, 713, 3140, 13357, 780, 1607, 1032, 267, 2705, 267, 519, 2495, 540, 8654, 513, 23156, 814, 3144, 593, 3773, 4644, 269, 22307, 4536, 21108, 741, 22657, 1996, 4655, 723, 7550, 519, 2259, 1932, 269, 1280, 873, 267, 519, 1396, 23156, 4564, 14246, 543, 4126, 1247, 7674, 607, 513, 1093, 17257, 12576, 540, 2250, 23434, 269, 1635, 10283, 538, 713, 957, 540, 9322, 267, 3025, 15920, 513, 3532, 5048, 5885, 4708, 543, 4180, 602, 32333, 899, 4591, 617, 558, 528, 786, 2760, 2049, 1586, 780, 6962, 912, 29603, 7437, 938, 3408, 540, 4591, 617, 558, 528, 267, 649, 4121, 827, 606, 11212, 4101, 3184, 538, 3864, 1686, 269, 1284, 4362, 875, 2797, 3664, 666, 1291, 547, 29070, 4093, 267, 2523, 952, 29926, 532, 9739, 5749, 1405, 4862, 269, 5015, 267, 1620, 2621, 899, 4591, 617, 558, 528, 2337, 721, 5660, 3646, 2509, 8497, 1480, 2924, 543, 5009, 2518, 6617, 269, 1924, 1577, 721, 4163, 4464, 519, 4245, 689, 4591, 617, 558, 528, 267, 10027, 5109, 5191, 267, 8296, 267, 543, 6568, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 9199, 3431, 267, 519, 2063, 14349, 540, 5437, 1169, 1032, 26549, 519, 9601, 540, 519, 4591, 617, 558, 528, 540, 476, 4350, 273, 268, 3451, 269, 476, 1839, 5437, 713, 1032, 269, 2201, 713, 1554, 267, 19678, 2103, 2356, 6443, 519, 782, 27138, 330, 1778, 1014, 16033, 894, 2962, 267, 634, 15443, 956, 540, 3816, 27320, 267, 693, 476, 275, 281, 876, 10681, 267, 19109, 643, 942, 269, 1358, 2322, 513, 23156, 2282, 519, 6885, 543, 6443, 519, 18487, 8792, 540, 16563, 563, 21953, 267, 713, 1032, 779, 862, 655, 2610, 814, 513, 5594, 1114, 7681, 1107, 513, 17199, 593, 519, 4395, 1467, 945, 561, 1080, 1010, 29503, 23156, 269, 901, 23156, 1131, 4196, 711, 1152, 585, 862, 655, 2610, 855, 849, 547, 3636, 519, 17199, 269, 4706, 3595, 3587, 513, 3090, 540, 3965, 267, 14246, 267, 543, 4126, 563, 2108, 23409, 513, 18189, 23156, 585, 1346, 7166, 676, 14000, 269, 27189, 14246, 267, 1796, 1985, 547, 1346, 945, 616, 4867, 8165, 865, 602, 713, 2760, 4523, 1586, 2223, 519, 21977, 4659, 540, 2817, 15350, 5206, 267, 16033, 908, 4591, 617, 558, 528, 9601, 593, 476, 1839, 5437, 476, 1708, 274, 563, 763, 20576, 5950, 513, 12572, 3381, 827, 713, 1032, 779, 862, 655, 2610, 912, 293, 9711, 827, 4591, 617, 558, 528, 454, 301, 22022, 476, 275, 2929, 5182, 1386, 547, 2669, 538, 12907, 1282, 519, 4591, 617, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 29804, 617, 558, 528, 257, 607, 851, 540, 834, 19615, 1315, 2342, 1315, 12907, 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, 6637, 476, 279, 281, 29460, 513, 10610, 31384, 910, 27986, 9919, 30503, 25741, 543, 966, 7709, 338, 692, 2691, 1034, 1004, 1589, 827, 1876, 11268, 267, 789, 4952, 7128, 10492, 1273, 13764, 10754, 267, 3713, 1161, 6061, 10963, 267, 610, 6148, 1256, 31440, 8069, 2324, 896, 16225, 547, 11861, 7803, 3906, 269, 1809, 1705, 596, 917, 602, 972, 616, 849, 7463, 4610, 1369, 1876, 11268, 1141, 4648, 960, 547, 2149, 1271, 5515, 899, 28245, 267, 14761, 267, 543, 1870, 3401, 286, 1452, 12703, 2367, 543, 2021, 1419, 4196, 607, 1560, 7666, 1841, 610, 3354, 10986, 267, 4180, 519, 3106, 540, 1346, 945, 949, 581, 693, 1981, 1813, 547, 741, 21239, 610, 2990, 780, 1103, 713, 3184, 267, 649, 2811, 2469, 547, 2263, 1018, 621, 3217, 547, 1831, 513, 1560, 31384, 267, 5373, 6667, 689, 1483, 3734, 3871, 5473, 28910, 4027, 269, 1284, 3513, 1451, 827, 519, 2956, 540, 28858, 267, 2656, 3206, 267, 543, 13916, 950, 7231, 609, 1804, 24921, 267, 6397, 6937, 267, 543, 14053, 16131, 269, 1635, 1620, 875, 1560, 7666, 1841, 7500, 543, 5721, 267, 649, 4126, 547, 8300, 596, 547, 1020, 2178, 22423, 1983, 543, 32638, 4656, 1765, 12921, 1571, 602, 1223, 4324, 4896, 3168, 547, 3251, 2922, 538, 2221, 781, 1158, 780, 4131, 781, 2253, 676, 1565, 811, 827, 21142, 543, 22216, 2643, 267, 1079, 4810, 1560, 7666, 1841, 945, 4749, 960, 2621, 13984, 676, 4583, 11051, 267, 12372, 267, 543, 824, 8037, 2043, 269, 21298, 267, 789, 20291, 3354, 3646, 693, 634, 21035, 8058, 267, 606, 5993, 2680, 4371, 693, 519, 29413, 4639, 514, 11968, 13353, 23076, 23392, 269, 2060, 7366, 540, 28752, 11235, 547, 2743, 741, 5172, 6801, 267, 5883, 519, 7372, 24921, 2838, 6297, 4058, 543, 4274, 11056, 269, 2913, 781, 1491, 513, 1413, 693, 875, 1919, 11200, 539, 1384, 4263, 634, 21035, 8058, 267, 5215, 540, 25981, 11655, 20898, 909, 3544, 519, 15678, 267, 7996, 11816, 13124, 585, 741, 4960, 547, 2879, 698, 1313, 21106, 543, 11147, 609, 741, 7329, 11169, 269, 4165, 4602, 566, 4904, 519, 2011, 607, 19416, 22407, 8452, 267, 30870, 676, 555, 3994, 338, 540, 18793, 15691, 547, 6952, 513, 19214, 540, 741, 12325, 269, 1306, 519, 1554, 27636, 267, 621, 2968, 2312, 602, 4509, 1931, 1131, 2154, 3606, 1489, 282, 1312, 3330, 519, 28379, 543, 538, 922, 4478, 2127, 780, 2414, 1832, 3388, 4881, 12347, 267, 21142, 543, 22216, 2643, 21821, 539, 519, 948, 540, 2199, 1876, 11268, 8041, 543, 4357, 3354, 10909, 269, 8625, 267, 789, 4646, 513, 8087, 4395, 1996, 1761, 21463, 267, 5402, 5464, 7127, 2798, 267, 10689, 1811, 267, 543, 11018, 5624, 2429, 519, 15678, 269, 901, 10319, 4674, 4847, 21142, 543, 22216, 2643, 547, 2226, 1852, 936, 519, 22125, 1604, 1247, 3246, 15792, 3255, 585, 11655, 547, 4497, 9108, 609, 741, 11537, 28245, 780, 3719, 5103, 782, 15416, 3144, 267, 26208, 1869, 7307, 547, 8451, 269, 2311, 835, 1448, 1282, 519, 15964, 17489, 2680, 267, 513, 6727, 10006, 540, 11655, 12219, 547, 8267, 332, 519, 2638, 2987, 1858, 2282, 519, 1292, 13675, 269, 20876, 519, 8594, 15054, 676, 971, 20316, 267, 21142, 3533, 1572, 2390, 1010, 2319, 2818, 547, 28570, 3723, 6808, 998, 14595, 23725, 832, 269, 11531, 267, 22216, 2643, 30409, 7404, 8128, 267, 31392, 19307, 6351, 538, 9013, 519, 796, 656, 4602, 730, 2220, 749, 540, 8436, 269, 3414, 16190, 2962, 543, 2500, 2792, 267, 789, 6707, 15286, 1022, 13685, 689, 9648, 543, 24458, 3025, 7283, 5150, 780, 8170, 1576, 267, 7863, 1164, 3491, 12803, 7218, 3322, 1454, 811, 982, 1175, 7829, 1804, 2516, 540, 9599, 23507, 3464, 269, 10705, 267, 1560, 7666, 1841, 1590, 2611, 7683, 10332, 585, 4191, 540, 8373, 267, 2436, 689, 30442, 13794, 267, 2309, 2065, 555, 773, 1407, 267, 610, 1256, 6896, 20737, 5275, 3007, 610, 2883, 2744, 269, 1677, 5965, 2933, 585, 891, 2591, 267, 3318, 1560, 7666, 1841, 3335, 4309, 3573, 2866, 538, 1585, 3344, 540, 1582, 12413, 1619, 267, 3463, 4879, 267, 6595, 3210, 267, 543, 13178, 7020, 780, 2690, 1383, 267, 1082, 1560, 7666, 1841, 4487, 1896, 19831, 6575, 10459, 267, 7175, 873, 547, 9243, 1125, 31487, 952, 2556, 269, 1358, 849, 1353, 8965, 2079, 2553, 267, 3850, 873, 547, 5431, 11029, 10291, 22566, 540, 20935, 8247, 1354, 4890, 5208, 4386, 269, 3958, 267, 15334, 538, 1101, 5351, 543, 31214, 5849, 7525, 2564, 6304, 666, 581, 3177, 538, 2013, 540, 5945, 610, 4576, 269, 1656, 6368, 267, 5432, 1436, 609, 5969, 12967, 2029, 2337, 1560, 7666, 1841, 2308, 4359, 2645, 543, 3937, 2966, 4481, 585, 2123, 4027, 5301, 780, 3086, 602, 649, 4312, 8268, 930, 1883, 2609, 3238, 538, 4742, 513, 3811, 1560, 31384, 1577, 781, 2992, 593, 875, 891, 4245, 1522, 4019, 547, 4948, 1272, 269, 17859, 540, 2436, 596, 29954, 790, 547, 16102, 7260, 6801, 610, 3274, 1616, 547, 3251, 2922, 1247, 10188, 11112, 1857, 4025, 267, 28798, 707, 7060, 540, 8343, 543, 7393, 707, 2702, 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, 15117, 9061, 585, 1010, 968, 719, 9227, 7086, 656, 787, 267, 2123, 10100, 543, 5462, 3056, 540, 1010, 2754, 1848, 1261, 3576, 5279, 540, 1010, 2754, 540, 519, 476, 3066, 628, 15506, 30119, 593, 4864, 476, 2641, 267, 1310, 782, 10492, 1185, 1044, 7166, 610, 20754, 538, 1614, 8959, 14213, 338, 269, 670, 13860, 10356, 519, 15000, 585, 835, 811, 14213, 267, 678, 5241, 513, 4436, 3684, 3766, 684, 2319, 543, 5679, 12177, 621, 856, 267, 2687, 547, 519, 2782, 7467, 269, 1261, 15068, 519, 2112, 543, 5747, 538, 476, 3422, 278, 2282, 2806, 21538, 5112, 267, 3703, 12052, 267, 693, 519, 2085, 540, 476, 8064, 563, 763, 9754, 849, 6585, 519, 15117, 9061, 525, 13752, 547, 5395, 613, 656, 19291, 20122, 5459, 267, 11283, 531, 21309, 23951, 578, 531, 543, 17721, 16452, 9466, 585, 3527, 1310, 519, 11135, 540, 10830, 476, 3583, 269, 634, 15117, 9061, 13752, 547, 2920, 532, 11683, 21411, 650, 16549, 8124, 3231, 24629, 568, 4371, 676, 519, 17135, 4937, 779, 14272, 2871, 1841, 3204, 14939, 7467, 267, 849, 538, 31747, 269, 634, 15117, 9061, 13752, 547, 17721, 7812, 6276, 744, 685, 305, 712, 651, 814, 1044, 7508, 2094, 519, 476, 4572, 271, 338, 563, 4415, 713, 11601, 267, 519, 8225, 2782, 7467, 7074, 621, 1631, 6585, 476, 4375, 540, 519, 476, 4200, 15117, 9061, 525, 13752, 547, 23671, 269, 634, 9754, 568, 4867, 2324, 593, 4566, 585, 513, 4159, 540, 519, 10830, 476, 3583, 15117, 9061, 525, 267, 547, 581, 30792, 538, 476, 1001, 280, 563, 763, 30407, 729, 9715, 609, 519, 1489, 540, 7261, 22567, 28418, 267, 513, 24960, 626, 267, 543, 519, 2782, 7467, 779, 2817, 14635, 8750, 269, 0, 763, 11660, 7169, 3163, 5980, 689, 519, 18679, 10574, 5811, 6096, 4400, 3427, 3163, 13966, 18679, 14154, 16497, 476, 272, 7454, 306, 2454, 9509, 5729, 476, 277, 628, 1321, 628, 623, 4488, 584, 5382, 454, 22102, 6828, 5675, 19019, 24439, 2725, 3911, 850, 3487, 18679, 3849, 2194, 539, 8447, 4065, 7689, 4643, 22276, 1955, 18679, 13349, 11759, 4569, 7689, 4643, 22276, 595, 322, 1087, 476, 274, 6113, 6103, 18679, 309, 3041, 308, 3201, 26353, 7689, 4643, 22276, 9165, 540, 960, 10959, 454, 277, 11300, 476, 276, 1320, 6103, 4317, 5525, 7689, 12697, 10812, 3464, 18679, 24456, 5516, 7689, 12697, 6096, 454, 275, 628, 8447, 3163, 13804, 564, 1143, 24542, 454, 8893, 12697, 2201, 7731, 1280, 3689, 6103, 10830, 654, 1180, 619, 18679, 8893, 1544, 2979, 476, 277, 554, 8114, 513, 32106, 19005, 454, 1652, 517, 1544, 1433, 10959, 1164, 1153, 3992, 1544, 10959, 18679, 7883, 4569, 7689, 12697, 476, 274, 6113, 6103, 476, 276, 628, 979, 2979, 1770, 476, 272, 3992, 18679, 272, 560, 6103, 7689, 12697, 454, 305, 10718, 7689, 12697, 476, 280, 628, 6103, 454, 19968, 4569, 7689, 12697, 585, 18679, 289, 578, 1782, 7689, 12697, 585, 5664, 18679, 19177, 628, 6103, 5675, 22544, 7689, 18679, 16498, 4065, 7689, 12697, 18679, 23612, 6103, 4569, 7689, 12697, 5871, 18679, 24058, 8551, 7689, 12697, 16504, 18679, 18439, 3464, 7689, 12697, 476, 276, 628, 6103, 454, 8512, 338, 540, 513, 7233, 7689, 4643, 6103, 18679, 275, 628, 6103, 4993, 3778, 7689, 18679, 23991, 26492, 7689, 12697, 18679, 22706, 476, 277, 4569, 7689, 12697, 454, 292, 16435, 7689, 12697, 585, 4400, 3427, 454, 7883, 4569, 7689, 12697, 3689, 6103, 454, 10190, 543, 3767, 7689, 12697, 476, 272, 560, 6103 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4179, 2517, 4178, 19544, 871, 518, 17213, 2593, 270, 577, 718, 10622, 270, 4818, 816, 7308, 268, 11415, 24579, 12378, 692, 5228, 621, 1068, 8962, 1104, 1895, 2421, 692, 306, 815, 4786, 17301, 267, 1592, 9272, 3890, 11723, 1721, 737, 267, 575, 538, 1895, 2421, 22829, 2187, 825, 1820, 9230, 6352, 17338, 14116, 24270, 737, 1070, 1439, 8782, 30386, 0, 5814, 5569, 454, 5814, 4351, 692, 869, 27664, 318, 24393, 815, 5569, 269, 30913, 328, 318, 869, 27664, 454, 6269, 704, 13826, 318, 24393, 815, 5569, 269, 30913, 328, 318, 6269, 27664, 454, 11133, 1499, 815, 5569, 6155, 580, 1080, 454, 32188, 338, 815, 5569, 4877, 9417, 6672, 692, 12528, 318, 869, 27664, 815, 703, 9272, 2891, 1692, 1082, 27608, 5022, 798, 596, 1616, 538, 707, 10957, 286, 281, 27328, 12528, 318, 6269, 27664, 815, 703, 9272, 2891, 1692, 1082, 26627, 27664, 5022, 798, 596, 1616, 538, 707, 10957, 286, 281, 27328, 12528, 5332, 13246, 815, 703, 9272, 2891, 1692, 1082, 2338, 798, 596, 1616, 538, 707, 10957, 286, 281, 27328, 12528, 318, 32188, 338, 815, 703, 9272, 2891, 1692, 1082, 6698, 798, 596, 1616, 538, 707, 10957, 286, 281, 834, 11723, 10139, 5320, 28747, 815, 3593, 318, 869, 27664, 1341, 3593, 318, 6269, 27664, 1341, 3593, 5332, 13246, 1341, 3593, 318, 32188, 338, 692, 10139, 5320, 815, 29129, 6112, 7003, 9638, 817, 5320, 264, 11203, 10957, 28747, 912, 825, 585, 1775, 538, 2039, 263, 12528, 318, 869, 27664, 2187, 1038, 10957, 6910, 263, 12690, 26716, 4069, 263, 869, 27664, 318, 24393, 4917, 825, 585, 1775, 538, 2039, 263, 12528, 318, 6269, 27664, 2187, 1038, 10957, 6910, 263, 12690, 26716, 4069, 263, 6269, 704, 13826, 318, 24393, 4917, 825, 585, 1775, 538, 2039, 263, 12528, 5332, 13246, 2187, 1038, 10957, 6910, 263, 12690, 26716, 4069, 3799, 13246, 4917, 825, 585, 1775, 538, 2039, 263, 12528, 318, 32188, 338, 2187, 1038, 10957, 6910, 263, 12690, 26716, 4069, 263, 32188, 338, 11723, 3333, 4428, 1194, 7272, 817, 5320, 815, 4351, 4732, 2217, 9638, 817, 5320, 267, 7003, 9638, 817, 5320, 11723, 2745, 2891, 2668, 21860, 263, 3333, 4428, 1194, 7272, 817, 5320, 4297, 0, 5814, 4351, 454, 5228, 4351, 1104, 28219, 842, 607, 10443, 7531, 3698, 3014, 10031, 825, 5727, 29228, 540, 476, 1220, 272, 27969, 454, 825, 1820, 2891, 1103, 713, 3014, 596, 666, 5066, 519, 1739, 2010, 540, 18062, 281, 630, 274, 267, 476, 275, 267, 476, 277, 267, 476, 279, 267, 476, 1015, 267, 476, 1321, 267, 476, 736, 267, 476, 1911, 9984, 338, 3660, 23528, 825, 721, 337, 318, 696, 815, 476, 271, 454, 825, 635, 318, 696, 815, 476, 271, 454, 825, 1247, 6936, 912, 1038, 5727, 24280, 2798, 543, 2638, 952, 1022, 2427, 3094, 780, 1038, 2433, 12407, 703, 2798, 692, 1038, 2433, 337, 6943, 281, 703, 454, 1038, 2433, 2908, 318, 9557, 454, 1038, 8173, 1038, 721, 337, 318, 628, 4900, 815, 476, 271, 454, 1038, 1247, 721, 337, 318, 628, 4900, 2652, 476, 271, 912, 2018, 721, 337, 318, 628, 4900, 815, 18062, 9272, 2891, 16521, 519, 2010, 540, 546, 1182, 596, 530, 13860, 12235, 267, 1063, 519, 546, 1182, 1826, 1422, 2580, 315, 257, 1701, 4917, 1038, 952, 721, 337, 318, 628, 4900, 2652, 476, 278, 912, 2018, 721, 337, 318, 696, 815, 630, 23591, 318, 696, 12262, 476, 278, 264, 910, 476, 278, 454, 1038, 952, 721, 337, 318, 628, 4900, 2652, 476, 1556, 912, 2018, 721, 337, 318, 696, 815, 630, 23591, 318, 696, 2608, 476, 1556, 264, 910, 476, 1556, 454, 1038, 721, 337, 318, 696, 6834, 721, 337, 318, 628, 4900, 692, 1038, 1820, 6600, 257, 7312, 25001, 729, 3160, 547, 282, 2715, 23591, 318, 628, 4900, 20467, 315, 333, 7312, 6060, 568, 2715, 23591, 318, 696, 348, 23528, 1038, 952, 721, 337, 318, 696, 13843, 476, 1220, 272, 912, 2018, 1820, 2891, 2791, 3094, 32405, 2018, 2132, 834, 27165, 568, 519, 16771, 4799, 1038, 635, 318, 628, 4900, 815, 18062, 18692, 2018, 1193, 263, 12690, 26716, 4069, 8443, 274, 267, 476, 275, 267, 476, 277, 267, 476, 279, 267, 476, 1015, 267, 476, 1321, 267, 476, 736, 267, 476, 1911, 316, 4297, 1341, 834, 2437, 1341, 1193, 263, 12690, 26716, 4069, 8443, 274, 267, 476, 275, 267, 476, 277, 267, 476, 279, 267, 476, 1015, 267, 476, 1321, 267, 476, 736, 267, 476, 1911, 316, 21875, 1038, 952, 635, 318, 628, 4900, 2652, 476, 278, 912, 2018, 635, 318, 696, 815, 630, 1260, 318, 696, 12262, 476, 278, 264, 910, 476, 278, 454, 1038, 952, 635, 318, 628, 4900, 2652, 476, 1556, 912, 2018, 635, 318, 696, 815, 630, 1260, 318, 696, 2608, 476, 1556, 264, 910, 476, 1556, 454, 1038, 635, 318, 696, 6834, 635, 318, 628, 4900, 692, 1038, 1820, 6600, 257, 20663, 781, 25001, 729, 3160, 547, 282, 2715, 1260, 318, 628, 4900, 20467, 315, 333, 20663, 781, 6060, 568, 2715, 1260, 318, 696, 20467, 315, 333, 5602, 1038, 952, 635, 318, 696, 13843, 476, 1220, 272, 912, 2018, 1820, 2891, 20663, 3094, 32405, 2018, 2132, 834, 20663, 568, 519, 16771, 3010, 454, 3698, 18062, 6262, 1712, 281, 1193, 2187, 825, 5727, 1320, 992, 519, 546, 1182, 780, 825, 2433, 337, 6943, 281, 1193, 454, 825, 2433, 8873, 281, 1267, 540, 2798, 454, 825, 8173, 825, 546, 1182, 815, 1496, 274, 267, 476, 275, 267, 476, 277, 267, 476, 279, 267, 476, 1015, 267, 476, 1321, 267, 476, 736, 267, 476, 1911, 2639, 825, 2119, 912, 1038, 1535, 815, 703, 6262, 1712, 11468, 3009, 28827, 2891, 2437, 264, 7481, 1038, 586, 815, 703, 6262, 1712, 314, 13892, 28827, 2891, 2437, 264, 1341, 476, 272, 281, 7481, 825, 4849, 28759, 607, 1654, 912, 1038, 1820, 263, 557, 994, 1038, 1820, 2891, 18823, 8091, 3403, 32405, 1038, 2132, 476, 271, 454, 825, 952, 1535, 543, 586, 711, 538, 546, 1182, 912, 1038, 1820, 2891, 2467, 568, 1100, 971, 18062, 32405, 1038, 2132, 7183, 454, 825, 1267, 815, 476, 271, 454, 825, 1267, 6834, 10443, 263, 272, 267, 1535, 994, 825, 1267, 6834, 10443, 263, 272, 267, 586, 994, 825, 2132, 1267, 7531, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 3014, 4590, 0, 3698, 23030, 19906, 267, 15893, 2187, 825, 23288, 825, 713, 568, 519, 16595, 9612, 5690, 267, 8117, 519, 5044, 1590, 12032, 4990, 563, 825, 23288, 825, 561, 815, 476, 271, 476, 1948, 1492, 2451, 1297, 4994, 454, 825, 678, 815, 7003, 19906, 264, 825, 1948, 1492, 1318, 1297, 4994, 454, 825, 1247, 6936, 912, 1038, 544, 815, 703, 9230, 331, 266, 337, 8358, 273, 264, 672, 1948, 29557, 4994, 454, 1038, 562, 815, 2855, 314, 332, 316, 476, 1948, 29557, 1297, 563, 1038, 952, 1297, 2525, 333, 912, 2018, 2132, 544, 454, 1038, 952, 1297, 3436, 562, 912, 2018, 561, 815, 544, 454, 1038, 952, 1297, 2999, 562, 912, 2018, 678, 815, 544, 7531, 3698, 12430, 19906, 267, 15893, 2187, 825, 23288, 821, 676, 835, 3406, 1297, 563, 825, 23288, 825, 1775, 815, 910, 272, 454, 825, 585, 1535, 538, 2855, 912, 1038, 1775, 815, 1775, 266, 272, 454, 1038, 952, 1535, 2525, 15893, 912, 2018, 2132, 1775, 454, 0, 26611, 23591, 24800, 270, 7090, 274, 454, 3698, 4894, 318, 10420, 318, 520, 19304, 267, 562, 2187, 825, 5569, 272, 815, 834, 4840, 825, 585, 1003, 272, 538, 2039, 263, 271, 267, 7003, 19304, 15892, 1038, 952, 1003, 272, 11203, 562, 912, 2018, 5569, 272, 6834, 1193, 314, 11133, 272, 2639, 825, 2132, 5569, 272, 454, 0, 26611, 23591, 24800, 270, 7090, 274, 454, 18851, 1599, 602, 7024, 6936, 952, 519, 1843, 568, 4010, 606, 3236, 540, 519, 454, 825, 9138, 1362, 6902, 6382, 8771, 563, 20701, 454, 3698, 568, 5334, 877, 318, 5035, 263, 28128, 267, 513, 318, 5035, 2187, 825, 5727, 1607, 2638, 547, 1294, 952, 1843, 568, 538, 551, 766, 540, 269, 4347, 5435, 338, 547, 6936, 692, 825, 1488, 7714, 912, 1038, 1073, 329, 630, 15953, 2567, 1201, 1359, 547, 519, 1292, 1843, 538, 533, 2814, 976, 454, 1038, 513, 318, 5035, 630, 314, 13911, 316, 2567, 4147, 1826, 649, 616, 669, 9535, 585, 3236, 454, 825, 8173, 825, 952, 1826, 263, 28128, 264, 568, 711, 513, 318, 5035, 912, 1038, 2132, 8771, 692, 825, 2132, 6936, 454, 0, 26611, 23591, 24800, 270, 7090, 274, 454, 18851, 16579, 525, 1362, 12384, 609, 4357, 3236, 14487, 2450, 20701, 454, 5035, 12384, 912, 825, 5727, 3698, 1149, 1362, 543, 8216, 28179, 4357, 3236, 14487, 2450, 12163, 825, 1219, 6449, 8181, 9191, 1345, 267, 2450, 284, 271, 2187, 1038, 1582, 14857, 21653, 815, 2450, 692, 825, 7711, 27393, 1399, 454, 825, 1219, 2450, 4311, 2187, 1038, 2132, 4311, 14857, 21653, 2020, 825, 7711, 21653, 15630, 614, 454, 825, 1219, 2450, 4311, 267, 1130, 17107, 1038, 952, 1826, 263, 1998, 264, 568, 711, 703, 912, 2018, 6318, 7392, 13286, 2891, 21653, 1590, 581, 606, 8870, 15419, 1038, 8640, 1130, 2999, 476, 271, 912, 2018, 6318, 28759, 2891, 21653, 1590, 581, 13843, 476, 271, 15419, 1038, 1582, 14857, 21653, 815, 1130, 692, 825, 1219, 1858, 4311, 2187, 1038, 5727, 1607, 1608, 14369, 7003, 2608, 8700, 815, 1858, 540, 4009, 12163, 1038, 2132, 1582, 14857, 21653, 2608, 1582, 14857, 21653, 692, 825, 1219, 1250, 318, 2745, 4311, 2187, 1038, 5727, 7468, 6493, 4009, 1210, 1948, 4191, 12163, 1038, 952, 1582, 14857, 21653, 3436, 476, 271, 912, 2018, 585, 6241, 538, 2039, 4311, 14857, 21653, 2187, 3546, 585, 4737, 538, 2039, 4311, 14857, 21653, 2187, 7386, 1820, 2891, 258, 2580, 1439, 284, 3269, 994, 3546, 1820, 4590, 1038, 3116, 912, 2018, 1820, 4590, 0, 26611, 23591, 24800, 270, 7090, 274, 454, 18851, 12218, 1250, 1592, 814, 513, 1505, 602, 16493, 513, 15044, 1592, 454, 20701, 454, 5035, 3733, 8266, 17338, 2187, 825, 5727, 14276, 3236, 1505, 2334, 16493, 856, 1592, 538, 15044, 1931, 692, 825, 1488, 7714, 912, 1038, 1592, 630, 314, 4289, 316, 2567, 1496, 4289, 540, 17062, 2338, 602, 568, 5293, 2639, 825, 8173, 825, 1219, 1820, 5334, 9285, 4311, 2187, 1038, 1820, 4433, 9285, 4311, 4917, 0, 26611, 23591, 24800, 270, 7090, 274, 454, 18851, 3698, 1149, 1599, 547, 2328, 32227, 2099, 11294, 540, 606, 1843, 547, 3758, 20701, 454, 5814, 795, 5459, 7531, 3698, 4688, 15461, 19553, 5459, 18316, 30044, 318, 28128, 267, 32197, 2187, 825, 5727, 310, 27866, 795, 5459, 6041, 538, 3758, 12163, 825, 609, 1930, 6600, 32327, 267, 1412, 342, 10807, 607, 535, 912, 1038, 535, 22182, 27203, 5459, 6155, 7927, 30044, 318, 28128, 267, 2327, 318, 30913, 328, 25716, 4917, 0, 258, 256, 23591, 24800, 19841, 341, 9226, 1477, 258, 18905, 1297, 4466, 813, 1477, 339, 787, 6769, 825, 1104, 28184, 5793, 607, 28184, 1477, 21955, 7383, 13286, 6769, 825, 1104, 570, 330, 5793, 607, 28184, 1477, 5814, 795, 657, 15219, 517, 607, 795, 339, 1477, 5228, 28184, 5793, 1104, 5048, 7901, 607, 28184, 3387, 1477, 5814, 19523, 5897, 5035, 623, 22143, 28399, 258, 14611, 4147, 585, 519, 2561, 267, 1519, 5470, 7829, 269, 24541, 825, 1219, 6449, 8181, 9191, 1345, 8029, 1038, 1582, 4318, 26748, 815, 834, 29177, 1038, 1582, 269, 1842, 318, 14310, 815, 834, 568, 6305, 1701, 1477, 1038, 1582, 269, 10864, 318, 14310, 815, 834, 568, 711, 6305, 1701, 1477, 1038, 1582, 25331, 5334, 26748, 815, 834, 29177, 1038, 1582, 25331, 21223, 26748, 815, 834, 29177, 1038, 1582, 8807, 8217, 815, 1496, 15947, 1038, 1582, 25331, 8217, 815, 1496, 15947, 1038, 1582, 269, 8181, 21397, 31476, 825, 1219, 6449, 516, 1440, 9191, 1345, 8029, 1038, 5727, 24478, 525, 513, 6305, 1297, 4466, 813, 23228, 1363, 1477, 5591, 2838, 7440, 267, 1572, 1210, 1412, 1440, 11948, 3784, 325, 5407, 10422, 22143, 3890, 262, 1477, 1038, 5727, 1477, 1038, 2132, 1582, 14857, 516, 1440, 1029, 14857, 25269, 1029, 5897, 825, 1219, 6449, 1598, 9191, 1345, 8029, 1038, 5727, 24478, 525, 513, 6305, 1297, 4466, 813, 23228, 1363, 1477, 5591, 2838, 7440, 267, 1572, 1210, 1412, 1440, 11948, 3784, 325, 5407, 10422, 22143, 3890, 262, 1477, 1038, 5727, 1477, 1038, 2132, 1582, 14857, 1598, 1029, 14857, 25269, 1029, 21506, 24541, 825, 1219, 2332, 21397, 4311, 8029, 258, 9377, 1149, 543, 3355, 2478, 519, 30892, 1477, 1038, 1582, 269, 10174, 815, 28184, 11053, 330, 14052, 1038, 1582, 4732, 10547, 13448, 815, 1582, 269, 10174, 269, 7773, 325, 334, 5334, 10547, 12296, 14052, 1038, 1582, 4732, 10547, 14729, 815, 1582, 269, 10174, 269, 7773, 325, 334, 5334, 10547, 19417, 14052, 1038, 1582, 9884, 785, 578 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 604, 845, 529, 941, 24190, 269, 17449, 2963, 689, 13354, 2090, 540, 519, 594, 4811, 3148, 540, 6046, 10775, 23865, 5027, 630, 337, 19091, 264, 4951, 602, 631, 269, 535, 6359, 16772, 529, 543, 631, 269, 535, 6359, 16772, 529, 15254, 269, 546, 604, 845, 529, 1705, 711, 8428, 538, 741, 30859, 5311, 630, 5392, 1040, 4014, 519, 2012, 3109, 6978, 1792, 752, 814, 9551, 775, 267, 649, 1934, 12898, 946, 519, 2012, 968, 18872, 590, 580, 520, 24499, 892, 1813, 547, 922, 9860, 538, 519, 3332, 543, 7839, 6165, 538, 5824, 3013, 269, 4563, 590, 580, 520, 24499, 568, 2808, 519, 1034, 14124, 543, 14427, 2068, 540, 19337, 543, 2030, 664, 630, 1556, 267, 5655, 264, 1317, 922, 1852, 6589, 585, 476, 2767, 260, 540, 2698, 2504, 3790, 630, 6200, 267, 10755, 1040, 898, 814, 1044, 6059, 602, 519, 2068, 3123, 3152, 982, 476, 4343, 260, 6556, 2530, 593, 2030, 664, 630, 6321, 1070, 543, 1256, 3152, 9271, 949, 2049, 593, 13143, 20397, 950, 1852, 3800, 3111, 269, 634, 2068, 5540, 519, 3762, 540, 19337, 2371, 267, 21006, 519, 16714, 1360, 6385, 952, 1852, 3800, 616, 711, 4294, 269, 5637, 2208, 543, 6556, 616, 8431, 269, 476, 273, 269, 2622, 4204, 3892, 540, 3109, 590, 580, 520, 24499, 630, 1892, 815, 2477, 1141, 3109, 590, 580, 520, 24499, 814, 1044, 4080, 2687, 547, 14161, 1512, 1696, 620, 269, 476, 543, 631, 712, 747, 517, 1696, 620, 269, 15426, 10934, 21806, 540, 8940, 31677, 617, 7702, 2593, 8276, 2355, 267, 609, 10479, 269, 7233, 8376, 1315, 4728, 476, 1220, 274, 476, 20385, 4299, 1317, 540, 519, 5786, 538, 519, 6337, 24678, 1858, 630, 8993, 269, 476, 275, 288, 543, 645, 1040, 4014, 519, 2068, 3648, 6971, 6556, 267, 519, 6574, 2530, 4440, 4386, 607, 513, 1267, 540, 519, 16349, 18009, 2287, 540, 4829, 630, 8993, 269, 476, 276, 1070, 799, 666, 2049, 538, 519, 2361, 543, 1282, 3560, 543, 4859, 630, 7830, 1040, 853, 1478, 630, 4200, 264, 7152, 602, 2241, 1219, 565, 2747, 610, 5786, 538, 519, 6337, 24678, 1858, 676, 7344, 1797, 1705, 711, 9594, 519, 16349, 18009, 2287, 602, 729, 8068, 693, 2157, 540, 2068, 10335, 602, 1705, 711, 1860, 6556, 610, 942, 540, 15657, 269, 853, 1478, 6700, 602, 621, 729, 1360, 2693, 602, 930, 1610, 1470, 268, 25401, 3742, 6219, 729, 6037, 11343, 543, 13251, 891, 2621, 269, 3194, 5342, 693, 519, 670, 1180, 584, 534, 7690, 540, 16581, 3194, 630, 293, 295, 8656, 264, 1336, 602, 2038, 18009, 2287, 7018, 593, 4829, 22280, 609, 19020, 21555, 540, 631, 269, 535, 6359, 16772, 529, 4529, 267, 799, 849, 8612, 602, 513, 1808, 6219, 610, 6878, 941, 1644, 547, 2038, 18009, 2287, 630, 292, 269, 744, 560, 5658, 267, 2123, 2792, 1040, 20703, 2088, 543, 26689, 639, 345, 630, 10463, 264, 1031, 19020, 21555, 540, 631, 269, 535, 6359, 16772, 529, 607, 513, 1907, 547, 6218, 3984, 4187, 547, 3109, 590, 580, 520, 24499, 269, 901, 16861, 1353, 3366, 547, 519, 6602, 543, 8446, 540, 1896, 20239, 582, 2135, 1231, 3812, 676, 519, 17343, 630, 7176, 267, 13040, 267, 9340, 1070, 4352, 9039, 729, 4481, 2404, 609, 2038, 18009, 2287, 269, 634, 19800, 20964, 513, 476, 274, 268, 547, 476, 275, 22173, 1979, 32430, 2078, 538, 3762, 540, 11630, 28212, 1310, 11579, 7992, 519, 588, 558, 1092, 1354, 1022, 683, 23145, 6776, 2589, 2408, 630, 2412, 1040, 18650, 540, 4053, 320, 2249, 547, 631, 269, 535, 6359, 16772, 529, 5526, 547, 581, 1644, 811, 547, 2022, 26529, 11852, 540, 6127, 971, 607, 519, 2504, 540, 19800, 5829, 5946, 630, 7871, 264, 543, 32443, 1729, 531, 1410, 1231, 630, 7918, 264, 982, 547, 1507, 2242, 538, 2497, 543, 840, 11526, 6878, 630, 2412, 1040, 30094, 12000, 328, 1696, 620, 269, 630, 275, 264, 4080, 602, 9864, 4187, 538, 519, 5252, 541, 18539, 326, 600, 537, 7902, 547, 581, 14356, 5532, 547, 513, 840, 25365, 30624, 25193, 2030, 4307, 4301, 7623, 267, 1247, 538, 519, 2013, 540, 519, 3810, 11259, 5252, 541, 18708, 3711, 328, 918, 332, 476, 276, 267, 606, 3742, 7271, 729, 13251, 1739, 21774, 540, 588, 558, 1092, 676, 519, 17343, 269, 6641, 9154, 1108, 8431, 269, 476, 274, 269, 12580, 540, 589, 267, 5835, 590, 580, 520, 24499, 267, 543, 645, 267, 3109, 6978, 1792, 752, 269, 4014, 3109, 590, 580, 520, 24499, 729, 1101, 4330, 538, 476, 3422, 275, 630, 10695, 1070, 513, 2143, 6609, 540, 519, 2589, 729, 711, 3370, 2394, 476, 3422, 280, 676, 631, 1229, 603, 543, 18039, 630, 6858, 1040, 9122, 593, 891, 7422, 267, 9050, 2946, 630, 736, 264, 2699, 18249, 519, 2589, 3254, 1282, 519, 1646, 540, 519, 2068, 883, 3670, 5933, 630, 8993, 269, 476, 277, 1070, 799, 616, 24298, 538, 7305, 476, 272, 269, 634, 1101, 10835, 267, 8392, 5328, 1179, 802, 267, 5526, 476, 1691, 547, 476, 736, 2395, 1310, 3968, 269, 634, 1974, 1063, 519, 5920, 540, 1179, 802, 543, 519, 1646, 540, 1792, 6545, 543, 13604, 683, 23145, 6776, 9634, 9775, 538, 3259, 2687, 547, 519, 5252, 541, 543, 519, 10335, 540, 3968, 630, 2537, 267, 5655, 267, 4792, 1040, 10496, 727, 543, 5576, 7795, 630, 5655, 264, 1336, 602, 10835, 4082, 729, 16607, 476, 278, 547, 476, 1691, 2395, 609, 10156, 5712, 540, 6978, 6632, 1145, 630, 9953, 3065, 693, 476, 1240, 554, 540, 6978, 6632, 1145, 1310, 26912, 1637, 1040, 769, 930, 2127, 267, 519, 1101, 5920, 540, 2589, 568, 17047, 609, 519, 18687, 540, 519, 5252, 541, 630, 1556, 282, 590, 269, 5617, 531, 322, 1794, 541, 267, 2123, 2792, 1040, 1717, 267, 519, 3259, 540, 519, 29164, 1974, 1281, 711, 3100, 547, 30136, 609, 2949, 4187, 630, 736, 1040, 2201, 11259, 28212, 267, 10835, 1646, 568, 1360, 3500, 543, 949, 711, 3356, 547, 519, 5544, 3942, 630, 560, 720, 476, 275, 264, 2394, 519, 2067, 6845, 525, 12412, 540, 519, 3762, 630, 2537, 267, 5655, 267, 4792, 1040, 1703, 568, 513, 6793, 9756, 540, 4187, 4882, 639, 1061, 2225, 609, 519, 24353, 1974, 982, 609, 519, 29164, 1974, 630, 291, 269, 670, 269, 3057, 27713, 543, 681, 269, 589, 269, 7931, 3266, 267, 10002, 21242, 1239, 1040, 25731, 5735, 8431, 269, 476, 275, 269, 27275, 1219, 565, 2747, 540, 589, 267, 20397, 267, 543, 645, 267, 2030, 1622, 3361, 676, 3109, 590, 580, 520, 24499, 269, 476, 13975, 7233, 8376, 1315, 5292, 269, 476, 9262, 3143, 269, 476, 274, 1230, 573, 807, 543, 10841, 2214, 2803, 1312, 1404, 5107, 538, 519, 3262, 540, 519, 2068, 269, 1230, 573, 807, 1106, 896, 2175, 540, 1164, 11195, 267, 2523, 952, 972, 568, 513, 4670, 540, 1863, 1216, 593, 519, 3762, 269, 1358, 616, 4646, 1282, 519, 1646, 540, 519, 1101, 5933, 540, 519, 2068, 630, 18034, 1282, 21686, 1496, 560, 720, 476, 273, 3910, 1792, 752, 1496, 560, 720, 476, 274, 3910, 543, 5544, 1496, 560, 720, 476, 275, 316, 1040, 634, 9030, 1797, 540, 29371, 616, 4764, 31683, 543, 10943, 1662, 282, 598, 573, 807, 616, 711, 1033, 3737, 676, 2842, 269, 1230, 573, 807, 616, 2404, 6140, 609, 2199, 3262, 540, 519, 2068, 543, 616, 1271, 1282, 5712, 540, 1164, 11195, 267, 7928, 5230, 632, 9749, 267, 543, 26740, 29636, 269, 5221, 631, 269, 535, 6359, 16772, 529, 7472, 5266, 1906, 598, 573, 807, 267, 10841, 2214, 2803, 616, 2808, 547, 581, 811, 1271, 538, 519, 3262, 540, 3109, 590, 580, 520, 24499, 630, 2918, 267, 6200, 1040, 1717, 267, 10496, 727, 1696, 620, 269, 630, 4510, 264, 7150, 602, 598, 573, 807, 616, 2111, 547, 2014, 1713, 5666, 540, 2068, 267, 543, 519, 2068, 2589, 616, 9838, 547, 519, 3283, 3361, 676, 10841, 2214, 648, 3968, 269, 1261, 8612, 602, 598, 573, 807, 1831, 811, 1271, 1282, 3819, 5712, 950, 2068, 1646, 568, 16607, 1317, 540, 519, 4527, 540, 1447, 20009, 20296, 2175, 630, 4510, 1040, 1306, 322, 2214, 2803, 616, 519, 3119, 1797, 540, 29371, 936, 3476, 9883, 1369, 24914, 543, 883, 1007, 2127, 267, 543, 616, 519, 8912, 1797, 540, 3262, 1282, 6905, 5712, 540, 6632, 4365, 630, 2537, 267, 2918, 267, 3066, 267, 4510, 267, 476, 7830, 267, 7597, 1040, 1306, 322, 2214, 2803, 616, 3812, 538, 15554, 6139, 25556, 538, 9921, 15087, 267, 799, 616, 1455, 593, 519, 4587, 3762, 540, 519, 2030, 610, 538, 4666, 3762, 14084, 593, 519, 2666, 269, 631, 1229, 603, 543, 18039, 630, 6858, 264, 4080, 602, 15554, 6139, 25556, 616, 3812, 593, 1312, 5011, 540, 519, 6978, 2627, 267, 855, 2362, 2338, 616, 1459, 593, 519, 740, 32681, 2627, 269, 17957, 267, 717, 879, 25632, 1696, 620, 269, 630, 2764, 264, 1336, 602, 811, 15554, 6139, 25556, 543, 10841, 2214, 2803, 941, 3812, 593, 519, 705, 32681, 6978, 2627, 269, 4014, 645, 4669, 1696, 620, 269, 630, 280, 264, 1336, 602, 5111, 476, 275, 269, 276, 10841, 2214, 2803, 616, 5950, 829, 15554, 6139, 6458, 267, 713, 1297, 4667, 1360, 1970, 6236, 519, 1164, 5834, 540, 26912, 4918, 602, 568, 1459, 538, 519, 2011, 1739, 4764, 630, 2918, 1040, 1306, 322, 2214, 648, 5305, 3340, 519, 4527, 540, 513, 4670, 540, 1216, 689, 4764, 610, 632, 342, 602, 28093, 756, 525, 519, 15554, 6139, 25556, 543, 2164, 538, 519, 585, 24862, 552, 20287, 540, 519, 10841, 2214, 2803, 998, 519, 6978, 10465, 4494, 267, 1141, 789, 616, 22412, 730, 676, 2011, 14768, 630, 7597, 267, 6200, 1040, 4223, 4851, 540, 15554, 6139, 25556, 3340, 25294, 540, 519, 4666, 6978, 8031, 585, 5111, 476, 4366, 554, 630, 2537, 267, 2918, 267, 3066, 267, 4510, 267, 7830, 267, 7597, 1040, 7201, 22963, 2175, 267, 10841, 2214, 648, 9830, 2799, 1282, 519, 3781, 267, 941, 5207, 827, 476, 271, 2568, 271, 554, 267, 543, 8519, 3648, 1282, 519, 1554, 269, 2201, 24925, 2395, 267, 8445, 9830, 7018, 16172, 1310, 4764, 3459, 269, 17897, 531, 4679, 538, 3232, 1611, 9830, 540, 10841, 2214, 2803, 616, 2404, 609, 2799, 11811, 543, 3448, 11195, 630, 7597, 1040, 717, 879, 25632, 630, 2918, 1070, 2324, 609, 20397, 267, 4080, 2147, 2164, 896, 22728, 681, 4618, 2175, 269, 24641, 631, 1229, 603, 1696, 620, 269, 630, 7597, 264, 1705, 711, 1265, 2963, 602, 10841, 2214, 648, 2504, 610, 5305, 729, 4299, 676, 5934, 5210, 267, 717, 879, 25632, 630, 2918, 264, 5462, 602, 972, 568, 513, 5786, 538, 519, 2504, 540, 26912, 4918, 1282, 519, 5671, 518, 630, 528, 1447, 24925, 264, 3275, 540, 519, 1032, 538, 519, 12144, 7997, 540, 22728, 28573, 267, 799, 568, 849, 519, 4005, 609, 519, 9803, 5210, 630, 8993, 269, 476, 278, 1040, 1306, 322, 2214, 2803, 616, 24797, 676, 2842, 282, 2705, 267, 1279, 26591, 29371, 568, 3908, 547, 513, 1906, 4627, 12919, 1813, 547, 741, 18687, 547, 22292, 5982, 630, 8064, 1040, 589, 5812, 2078, 1063, 10841, 2214, 648, 11166, 543, 2068, 1646, 814, 711, 1044, 3254, 267, 3976, 12145, 519, 28252, 540, 838, 648, 29212, 585, 2068, 20925, 630, 2767, 267, 3393, 1040, 1306, 322, 2214, 2803, 616, 20024, 5631, 593, 519, 2539, 6978, 2627, 1282, 519, 4652, 584, 1782, 540, 513, 1007, 6978, 630, 8993, 269, 476, 279, 288, 543, 645, 1070, 6721, 513, 6512, 4806, 540, 5563, 593, 519, 2427, 602, 568, 1101, 6534, 267, 799, 568, 513, 8086, 540, 519, 2799, 838, 648, 18254, 593, 519, 20425, 4796, 11253, 6978, 1282, 922, 4652, 584, 1782, 607, 10353, 547, 519, 3003, 1930, 22917, 2088, 540, 519, 6978, 269, 9182, 267, 1034, 5563, 2049, 593, 519, 705, 32681, 2627, 540, 519, 3762, 630, 2537, 267, 3066, 1040, 2885, 13740, 1491, 5111, 476, 4366, 547, 476, 7761, 554, 547, 23309, 519, 588, 558, 1092, 630, 274, 267, 6200, 1070, 4352, 519, 17343, 949, 1332, 3134, 760, 1506, 21154, 593, 519, 6978, 2627, 585, 909, 547, 476, 277, 2395, 1354, 2965, 11579, 7992, 519, 3762, 630, 274, 1040, 21988, 3968, 568, 15469, 676, 6905, 5712, 540, 1164, 11195, 543, 519, 4527, 540, 1863, 1216, 593, 519, 3762, 630, 2537, 267, 3066, 267, 4792, 1040, 26228, 8431, 269, 476, 276, 269, 20031, 1155, 18009, 2287, 540, 19337, 4829, 13251, 676, 513, 4049, 3968, 540, 3109, 590, 580, 520, 24499, 269, 8431, 269, 476, 277, 269, 853, 1137, 540, 2068, 1646, 2687, 547, 9050, 2946, 630, 736, 1040, 8609, 476, 273, 568, 6353, 676, 2699, 29744, 1792, 6545, 593, 1312, 5011, 540, 519, 6978, 282, 538, 3942, 476, 274, 267, 1792, 6545, 1831, 9962, 543, 519, 2681 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 887, 4823, 267, 519, 1698, 344, 321, 4673, 267, 568, 519, 3501, 1303, 872, 563, 763, 1297, 540, 3662, 2249, 814, 811, 982, 23060, 543, 1631, 2882, 513, 3575, 540, 22171, 267, 31450, 267, 5070, 26921, 619, 267, 19838, 28905, 267, 25438, 850, 6438, 1309, 574, 753, 543, 1698, 344, 8663, 553, 267, 519, 1158, 779, 4102, 887, 4823, 563, 5629, 538, 519, 1216, 267, 513, 1698, 344, 321, 4673, 666, 1832, 922, 3003, 1560, 24760, 267, 20392, 1175, 922, 4064, 543, 19911, 337, 2812, 563, 4322, 1383, 5220, 616, 5697, 8850, 689, 1585, 2228, 3377, 2959, 547, 2992, 1699, 6165, 540, 519, 2262, 1412, 5115, 344, 321, 4673, 8339, 14358, 6829, 538, 519, 1806, 798, 711, 2099, 519, 6644, 540, 8585, 26713, 268, 31812, 610, 922, 15769, 269, 27189, 721, 5955, 563, 27670, 543, 661, 22029, 540, 1698, 344, 321, 4673, 454, 21545, 1872, 12956, 1698, 756, 4673, 267, 1698, 643, 4673, 267, 27327, 540, 1698, 4512, 340, 4673, 267, 689, 570, 1575, 328, 737, 777, 328, 390, 498, 12685, 4673, 267, 689, 737, 777, 6403, 390, 498, 328, 6371, 267, 11453, 1341, 910, 342, 4673, 552, 831, 454, 5575, 19612, 2422, 281, 476, 10082, 275, 8450, 9293, 689, 519, 1482, 1032, 454, 5353, 523, 543, 1261, 731, 454, 1432, 1500, 596, 1616, 547, 1413, 909, 1698, 344, 321, 4673, 286, 7490, 2995, 721, 1141, 596, 1224, 610, 4862, 621, 630, 10175, 519, 10839, 267, 952, 2009, 1040, 0, 1607, 568, 513, 1390, 17948, 19809, 585, 519, 4098, 540, 519, 1032, 538, 513, 4914, 1893, 1982, 269, 898, 568, 711, 1893, 1808, 267, 865, 621, 786, 960, 1106, 3943, 267, 5053, 267, 4436, 267, 3092, 269, 3610, 256, 898, 3217, 827, 476, 1428, 3764, 547, 2347, 519, 3003, 17948, 269, 634, 17948, 568, 1196, 3386, 267, 855, 1832, 538, 2247, 267, 621, 949, 581, 2352, 547, 12575, 1317, 540, 519, 3898, 540, 930, 15942, 269, 634, 1739, 568, 606, 7291, 540, 519, 17948, 15942, 912, 272, 269, 570, 3633, 3798, 11473, 834, 1692, 5678, 5345, 9876, 4840, 296, 12995, 519, 1101, 851, 540, 519, 3381, 856, 630, 339, 22736, 827, 519, 18975, 540, 20770, 264, 865, 594, 9327, 1405, 723, 1022, 4984, 4655, 538, 519, 4928, 454, 273, 269, 594, 1397, 519, 476, 1015, 2101, 1893, 3885, 267, 4553, 676, 513, 2417, 7778, 540, 519, 21475, 26049, 7731, 630, 3602, 2296, 543, 23620, 19932, 2887, 689, 994, 274, 269, 594, 2417, 4983, 519, 30834, 2888, 540, 519, 21475, 26049, 7731, 269, 594, 1491, 513, 2417, 1413, 693, 519, 7195, 1729, 4149, 15442, 545, 267, 27272, 267, 543, 32228, 545, 30834, 2888, 269, 594, 1445, 593, 891, 1614, 1317, 789, 1034, 9305, 547, 1250, 1053, 543, 1250, 6437, 563, 275, 269, 13138, 4353, 8656, 281, 1548, 6871, 540, 519, 1158, 14753, 2296, 607, 922, 1101, 1893, 888, 276, 269, 13138, 4353, 8656, 281, 1548, 6712, 540, 519, 1158, 14753, 1100, 2296, 693, 782, 888, 277, 269, 13138, 4353, 8656, 281, 1548, 6871, 540, 519, 1158, 781, 2551, 568, 1617, 13308, 888, 278, 269, 4208, 1451, 1776, 1893, 286, 594, 2689, 519, 2640, 540, 1565, 1776, 1893, 910, 15980, 811, 2724, 267, 811, 2816, 3255, 267, 1164, 5042, 5759, 267, 2951, 3255, 267, 543, 1082, 811, 2336, 279, 269, 5808, 3116, 568, 1617, 13308, 286, 594, 2689, 2442, 28245, 602, 616, 1617, 13308, 910, 3627, 5500, 1546, 653, 547, 6660, 320, 31311, 529, 269, 0, 23175, 3399, 543, 7216, 10361, 3399, 3292, 9772, 513, 968, 3369, 1961, 454, 18876, 892, 1935, 547, 2038, 1416, 543, 1565, 269, 634, 5313, 4808, 789, 454, 31742, 2154, 3292, 547, 1683, 2533, 547, 782, 2947, 11890, 540, 1126, 1646, 454, 23175, 3399, 543, 454, 15900, 10361, 3399, 723, 513, 2178, 1445, 593, 2679, 1920, 9342, 607, 454, 6202, 269, 3962, 1920, 568, 8655, 1079, 2798, 540, 3346, 950, 789, 616, 454, 4820, 4602, 908, 538, 513, 10361, 3399, 610, 7216, 10361, 3399, 5358, 269, 634, 454, 5035, 3336, 4116, 11828, 11095, 2115, 540, 1453, 609, 454, 325, 7056, 625, 269, 901, 2882, 840, 2173, 987, 543, 840, 2000, 3438, 2329, 267, 855, 849, 2882, 454, 26132, 1126, 779, 1514, 3929, 1646, 607, 1134, 269, 634, 7731, 6796, 454, 13480, 518, 630, 27271, 1572, 7731, 25635, 919, 610, 7731, 22707, 20709, 264, 1865, 454, 1492, 9342, 540, 519, 1920, 607, 513, 2898, 269, 9122, 593, 519, 3661, 602, 513, 454, 8001, 568, 513, 1126, 779, 1101, 543, 1034, 1271, 4116, 267, 7731, 6796, 454, 13480, 619, 948, 3885, 1628, 24276, 3853, 543, 1921, 873, 609, 454, 338, 26236, 630, 1410, 269, 7694, 267, 8027, 267, 2564, 267, 5959, 264, 1058, 789, 581, 454, 1729, 1451, 811, 827, 519, 3102, 2533, 10361, 3399, 543, 7216, 10361, 3399, 2709, 547, 3885, 267, 596, 666, 3643, 563, 1432, 616, 519, 7649, 3255, 888, 9359, 3292, 616, 1360, 2147, 547, 3557, 8750, 539, 2776, 11860, 3292, 269, 901, 454, 529, 3226, 519, 2013, 538, 3872, 4170, 540, 4928, 5234, 2676, 10520, 1636, 566, 267, 543, 946, 540, 6437, 267, 9584, 543, 4879, 2645, 563, 1103, 1249, 267, 950, 6042, 585, 3557, 8750, 539, 2776, 11860, 3292, 941, 2854, 454, 514, 476, 1960, 271, 267, 519, 4589, 3459, 609, 606, 12972, 547, 519, 10361, 3399, 13437, 11621, 454, 269, 4595, 1287, 3646, 454, 17647, 1044, 1500, 538, 17996, 547, 2327, 602, 6042, 585, 3557, 8750, 539, 454, 7093, 11860, 3292, 2226, 12972, 609, 741, 10361, 3399, 22388, 30672, 563, 1993, 713, 12972, 267, 17996, 814, 513, 1279, 1686, 540, 11450, 1063, 454, 25217, 13102, 543, 10361, 3399, 9886, 4315, 269, 1452, 12352, 1491, 593, 454, 28236, 1114, 3029, 543, 616, 1419, 3358, 547, 2743, 519, 2115, 540, 1142, 454, 10919, 640, 269, 6333, 16042, 513, 1761, 11450, 538, 11775, 912, 272, 281, 28651, 856, 547, 707, 2199, 10361, 3399, 13555, 269, 9181, 875, 707, 454, 2889, 31810, 616, 2147, 269, 9181, 875, 789, 616, 1114, 269, 16731, 513, 10361, 454, 9359, 4928, 543, 2253, 547, 1589, 827, 875, 596, 543, 707, 10361, 3399, 454, 4820, 1676, 949, 581, 2111, 547, 2671, 2200, 563, 3721, 476, 273, 281, 1879, 596, 2697, 454, 732, 553, 1141, 596, 949, 15407, 1142, 824, 779, 2200, 1865, 875, 602, 949, 454, 19972, 950, 596, 2936, 269, 1280, 1383, 267, 596, 949, 1294, 602, 596, 1312, 616, 454, 25075, 4575, 2147, 3318, 1646, 585, 707, 3610, 269, 9181, 454, 6011, 596, 1522, 1020, 4745, 2866, 269, 8073, 513, 6490, 528, 663, 636, 540, 454, 8139, 630, 300, 5495, 264, 609, 707, 7649, 602, 14592, 1018, 1142, 5428, 568, 454, 342, 3739, 547, 798, 563, 3721, 476, 274, 281, 9181, 513, 968, 2685, 20762, 892, 6765, 2203, 269, 769, 454, 2865, 2665, 267, 12140, 1683, 4928, 2230, 585, 1312, 10361, 3399, 543, 454, 13750, 8750, 539, 2776, 11860, 1453, 269, 8048, 3610, 616, 1419, 6976, 585, 676, 519, 454, 18662, 10588, 269, 1717, 267, 782, 2474, 540, 713, 5838, 2203, 1058, 581, 454, 29171, 1380, 539, 269, 1280, 1383, 267, 952, 519, 1153, 568, 3246, 2230, 267, 5310, 519, 454, 23175, 3399, 1223, 1683, 6283, 2533, 267, 610, 7594, 2533, 563, 16655, 30093, 2200, 5012, 547, 1447, 5918, 6473, 540, 2533, 543, 4824, 454, 2026, 609, 782, 12352, 267, 942, 543, 4674, 616, 454, 7528, 1600, 547, 2327, 789, 2611, 2635, 543, 11327, 269, 1717, 267, 942, 454, 4944, 550, 1620, 875, 596, 543, 707, 10361, 3399, 4891, 666, 3914, 519, 454, 10946, 3065, 1297, 540, 14718, 1453, 538, 707, 2146, 786, 948, 2327, 454, 29006, 1453, 12446, 693, 519, 9656, 7450, 4712, 547, 1332, 267, 4712, 547, 454, 16753, 543, 4712, 547, 8011, 256, 0, 277, 2271, 3419, 5224, 5013, 827, 9932, 10987, 454, 295, 2292, 267, 26006, 267, 26006, 256, 1215, 1082, 2053, 798, 596, 2161, 1346, 1913, 538, 513, 1554, 286, 898, 568, 519, 6653, 652, 2081, 596, 2769, 596, 2648, 585, 513, 15210, 835, 269, 30052, 267, 9932, 513, 2067, 1587, 267, 1500, 676, 519, 2182, 960, 540, 13520, 267, 568, 519, 6653, 652, 543, 1072, 5006, 16909, 12146, 835, 1223, 4952, 269, 3502, 1152, 602, 256, 26006, 10987, 267, 23963, 849, 1634, 607, 7442, 529, 20649, 32070, 267, 616, 2067, 25199, 269, 2913, 1631, 723, 513, 1413, 693, 930, 540, 519, 10578, 5013, 827, 9932, 10987, 563, 272, 23130, 568, 9932, 888, 295, 2292, 568, 519, 6653, 1587, 1500, 676, 10987, 609, 22060, 10356, 689, 5810, 269, 14755, 519, 7442, 529, 13520, 267, 9932, 568, 3812, 676, 29097, 1652, 10987, 267, 536, 18443, 32048, 267, 543, 824, 7786, 971, 607, 729, 1186, 269, 1809, 267, 9932, 689, 7442, 529, 568, 519, 1034, 4922, 1031, 269, 26006, 568, 607, 6653, 607, 4006, 267, 513, 20202, 267, 5394, 543, 11344, 5714, 269, 634, 6464, 616, 1395, 657, 21839, 728, 9967, 540, 535, 28229, 543, 7280, 269, 26006, 568, 519, 5916, 960, 540, 1614, 2324, 5049, 540, 10987, 1700, 519, 15596, 13520, 267, 519, 2324, 13520, 267, 543, 519, 20473, 13520, 563, 320, 269, 10020, 540, 519, 10348, 13520, 454, 763, 968, 4302, 523, 13520, 892, 17838, 883, 513, 15596, 950, 519, 16793, 5697, 689, 11832, 10987, 543, 533, 2086, 1229, 543, 2523, 25374, 547, 1831, 9921, 16770, 543, 22265, 569, 269, 1703, 568, 1152, 835, 15596, 13520, 829, 554, 633, 630, 5264, 540, 10987, 264, 799, 29982, 609, 513, 1297, 540, 5256, 10987, 1572, 19025, 269, 2701, 7472, 476, 1220, 271, 5798, 1142, 1554, 269, 10801, 519, 14438, 540, 476, 274, 268, 276, 1296, 267, 519, 11603, 14203, 2636, 1200, 547, 2482, 6634, 540, 5798, 269, 634, 6992, 1242, 5798, 2490, 883, 4775, 10987, 6444, 607, 968, 1740, 518, 10987, 6100, 634, 5798, 602, 616, 4652, 23459, 1242, 2490, 883, 9038, 610, 968, 20142, 821, 10987, 6100, 1879, 20424, 15596, 10987, 616, 4535, 267, 789, 616, 17515, 676, 519, 15596, 13520, 865, 1152, 835, 15596, 13520, 3788, 538, 513, 12733, 563, 763, 15596, 13520, 6411, 607, 519, 3993, 519, 2295, 543, 519, 2212, 540, 519, 12733, 269, 634, 15596, 568, 25374, 1134, 267, 10480, 543, 4553, 676, 7390, 1218, 269, 4173, 1909, 568, 547, 1847, 689, 1591, 547, 1591, 543, 2482, 5798, 563, 321, 269, 10020, 540, 519, 4518, 518, 13520, 454, 763, 11832, 13520, 568, 513, 4775, 543, 519, 1034, 538, 1297, 538, 513, 554, 633, 540, 513, 9932, 13520, 1920, 269, 2701, 814, 513, 4130, 7181, 982, 519, 3993, 13520, 855, 3568, 513, 30618, 585, 8066, 9932, 269, 3245, 1554, 476, 272, 547, 1554, 476, 1321, 267, 519, 11832, 10987, 5965, 519, 32105, 585, 9932, 1818, 269, 634, 1101, 3018, 1352, 18274, 519, 2281, 585, 13936, 22060, 267, 18788, 519, 4666, 10987, 689, 519, 554, 633, 269, 1358, 3049, 519, 16793, 267, 10992, 1142, 12586, 9366, 693, 2547, 476, 9873, 271, 2053, 513, 1554, 269, 4518, 518, 10987, 849, 7390, 547, 519, 15596, 13520, 563, 24375, 940, 689, 476, 1321, 547, 476, 1240, 2395, 267, 519, 4600, 1491, 22060, 689, 519, 10987, 602, 2445, 689, 519, 5810, 543, 16005, 538, 519, 2281, 269, 1358, 849, 1491, 519, 14947, 543, 16005, 538, 519, 2281, 269, 634, 4600, 849, 5968, 1851, 873, 547, 1832, 519, 11195, 543, 2837, 896, 1852, 563, 5804, 519, 476, 1240, 2395, 593, 1189, 610, 1256, 4505, 519, 4600, 616, 9921, 543, 1376, 6721, 10987, 342, 1314, 269, 2142, 525, 342, 1314, 630, 290, 5028, 620, 9346, 264, 3812, 676, 14589, 1818, 15374, 540, 519, 11832, 10987, 269, 20709, 1167, 731, 519, 14589, 543, 554, 633, 4600, 2445, 543, 1628, 519, 32105, 547, 519, 4313, 540, 519, 7782, 2801, 543, 6617, 540, 519, 554, 633, 269, 634, 11832, 10987, 849, 9856, 519, 554, 633, 543, 1152, 1920, 2818, 616, 4847, 267, 5863, 569, 6956, 676, 10987, 1368, 8973, 519, 32105, 563, 763, 11832, 13520, 1287, 26136, 856, 689, 8768, 547, 8768, 547, 2445, 22060, 269, 1358, 1101, 5858, 1472, 519, 554, 633, 543, 5555, 11097, 523, 519, 5858, 269, 634, 9932, 10987, 2356, 1847, 547, 513, 3845, 540, 476, 275, 547, 476, 276, 12919, 547, 1205, 22060, 269, 634, 10987, 723, 519, 2702, 547, 3643, 476, 1015, 5810, 1169, 8792, 543, 11564, 476, 1015, 2929, 5810, 547, 3132, 476, 272, 533, 842, 540, 9932, 269, 6969, 13059, 543, 2394, 1200, 30618, 521, 871, 568, 4904, 1352, 4440, 11564, 476, 7785, 5810, 563, 322, 269, 10020, 540, 519, 20473, 13520, 454, 763, 20473, 10987, 616, 519, 9038, 6967, 538, 519, 554, 633, 547, 6992, 1125, 519, 2048, 325, 1956, 685 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 543, 1219, 1815, 566, 269, 634, 1101, 540, 891, 3157, 267, 28453, 267, 4016, 547, 519, 7127, 540, 1426, 883, 519, 620, 21747, 12324, 998, 519, 5023, 563, 1432, 568, 12536, 2110, 2626, 888, 3198, 14684, 2207, 269, 6226, 3878, 568, 875, 707, 1560, 7140, 1426, 596, 3548, 883, 5567, 621, 3096, 585, 1648, 267, 2208, 267, 543, 1591, 7816, 269, 634, 9667, 8778, 630, 528, 16063, 8778, 264, 568, 513, 1279, 6335, 532, 8546, 602, 6238, 693, 707, 5023, 543, 7475, 693, 707, 606, 639, 563, 1432, 568, 12536, 1215, 568, 621, 1271, 585, 721, 888, 15933, 543, 4235, 1590, 581, 4957, 883, 4130, 6675, 540, 5567, 1354, 789, 666, 581, 12842, 883, 519, 1973, 543, 5645, 547, 2281, 2429, 519, 1560, 269, 6226, 3878, 568, 519, 1184, 676, 799, 1426, 543, 4235, 616, 7745, 1524, 883, 741, 10545, 2694, 865, 519, 1560, 666, 946, 873, 547, 1628, 543, 16138, 880, 2281, 543, 547, 1683, 1648, 563, 1432, 568, 12536, 538, 1480, 1560, 888, 763, 1480, 9667, 1062, 5161, 540, 519, 16063, 8778, 7132, 519, 1569, 800, 8219, 540, 12536, 630, 1492, 11469, 267, 2892, 643, 776, 15374, 267, 18558, 267, 6797, 267, 543, 7086, 31041, 1040, 6226, 3878, 3322, 519, 15059, 540, 1426, 883, 4130, 543, 4130, 3334, 267, 2394, 789, 666, 581, 12842, 543, 15849, 23624, 883, 519, 1560, 563, 1432, 616, 519, 476, 1556, 1949, 540, 519, 1560, 888, 763, 476, 1556, 1418, 1949, 1331, 519, 2076, 2163, 776, 1062, 267, 20258, 1062, 267, 16757, 1062, 267, 30754, 1062, 267, 7929, 1062, 267, 9667, 1062, 267, 8401, 1062, 267, 25012, 1062, 267, 9025, 1062, 267, 17256, 1062, 267, 543, 10285, 1949, 269, 0, 7804, 269, 5576, 636, 12329, 781, 3119, 1382, 4690, 4125, 1620, 6896, 13247, 1949, 269, 769, 1880, 267, 1346, 602, 3132, 3665, 5666, 540, 13247, 616, 540, 1719, 1317, 540, 519, 1761, 789, 723, 585, 4929, 16160, 14700, 543, 8755, 14700, 269, 589, 2407, 1592, 540, 3621, 12326, 666, 581, 1336, 1934, 563, 1103, 519, 14724, 2474, 267, 519, 1034, 4764, 8813, 1141, 621, 22856, 519, 23698, 585, 519, 13074, 30818, 4475, 267, 649, 991, 547, 917, 1018, 2306, 621, 4764, 2182, 267, 543, 1018, 2306, 621, 4764, 585, 513, 1279, 942, 269, 1280, 1383, 267, 621, 568, 16613, 585, 513, 2582, 267, 8723, 19711, 10445, 547, 2063, 1279, 2614, 547, 3132, 865, 1454, 4764, 602, 621, 3123, 513, 6360, 269, 1809, 621, 568, 1455, 585, 1896, 15420, 547, 10891, 1927, 883, 1018, 568, 1572, 513, 834, 6996, 657, 7051, 12768, 21063, 1062, 257, 630, 300, 5425, 1040, 4107, 631, 5425, 338, 1847, 9425, 3533, 267, 6721, 5266, 1507, 5666, 540, 4764, 936, 1804, 2127, 269, 630, 4322, 631, 5425, 338, 616, 1360, 1271, 547, 24569, 6683, 538, 4025, 899, 519, 3844, 2136, 2276, 4700, 6884, 267, 1498, 267, 789, 1847, 7444, 267, 610, 616, 11231, 971, 602, 12768, 21063, 2281, 14578, 1780, 936, 519, 1482, 1858, 267, 799, 666, 1291, 547, 5458, 11811, 5666, 936, 1507, 2127, 269, 1452, 5230, 268, 1778, 26148, 631, 5425, 338, 616, 1419, 2352, 547, 3589, 267, 607, 621, 568, 1419, 711, 7805, 4010, 1141, 789, 786, 1020, 610, 875, 3728, 789, 786, 1847, 563, 10303, 540, 713, 267, 649, 1616, 547, 917, 519, 4267, 547, 2055, 899, 912, 268, 1548, 616, 519, 5348, 641, 6776, 267, 8544, 657, 7051, 267, 543, 7088, 8397, 2175, 602, 616, 1034, 20009, 547, 3665, 2199, 11811, 888, 268, 1548, 3157, 3313, 2436, 513, 1880, 7088, 1062, 786, 3132, 1507, 5666, 540, 4764, 3262, 856, 936, 513, 1804, 1858, 267, 610, 513, 5458, 2179, 540, 4764, 538, 513, 2199, 1858, 888, 268, 1215, 1434, 616, 10230, 4365, 12605, 3631, 693, 20925, 891, 5230, 4764, 2621, 888, 268, 3657, 972, 2409, 602, 649, 666, 946, 547, 1118, 1346, 23004, 1732, 888, 2171, 946, 513, 3099, 540, 2645, 547, 2263, 891, 2055, 267, 1519, 7422, 630, 10175, 1312, 6296, 7422, 543, 1239, 6394, 538, 2361, 11044, 264, 543, 10230, 3631, 540, 8795, 6988, 563, 5978, 1382, 593, 12768, 21063, 13247, 568, 4867, 630, 553, 540, 5239, 476, 1001, 280, 264, 6462, 676, 519, 2817, 3163, 7690, 543, 30857, 585, 519, 1739, 3785, 912, 268, 10164, 550, 2022, 3491, 22422, 540, 28681, 268, 9994, 532, 2203, 3977, 547, 1217, 16661, 20530, 2109, 4741, 19773, 338, 543, 23004, 630, 4944, 29107, 676, 30857, 994, 268, 11638, 16162, 9918, 7634, 540, 21276, 14324, 29777, 543, 8755, 17160, 538, 519, 590, 21750, 2475, 630, 4944, 29107, 676, 30857, 994, 268, 8177, 540, 1230, 557, 551, 1947, 268, 17653, 730, 32322, 31515, 593, 12379, 657, 7051, 1230, 557, 21063, 7010, 630, 4944, 29107, 676, 22085, 293, 994, 268, 4635, 23781, 4456, 5183, 32271, 7422, 547, 1174, 519, 5687, 17871, 267, 10252, 26517, 267, 543, 6422, 3157, 3056, 547, 5230, 13247, 630, 4944, 29107, 676, 22085, 293, 994, 1103, 1840, 547, 891, 1808, 3785, 267, 3220, 269, 5576, 636, 12329, 814, 3376, 1382, 4690, 602, 1331, 1082, 824, 3344, 540, 8544, 657, 7051, 14368, 1108, 267, 6172, 26331, 267, 543, 519, 6848, 5222, 540, 4365, 543, 4365, 23004, 563, 12812, 835, 540, 519, 6402, 2630, 547, 3136, 2542, 827, 3105, 543, 1699, 1382, 912, 268, 9257, 543, 5163, 540, 5230, 268, 1778, 26148, 12768, 21063, 1949, 454, 268, 12379, 657, 7051, 12768, 21063, 642, 677, 1182, 454, 268, 7720, 626, 675, 3560, 676, 9341, 7814, 2158, 883, 4571, 26245, 6421, 454, 268, 654, 7655, 267, 2789, 6377, 11811, 543, 922, 3589, 1464, 454, 268, 9442, 543, 7664, 540, 4365, 23004, 543, 21855, 454, 268, 17020, 539, 28681, 454, 268, 17291, 543, 1620, 12761, 12886, 538, 10230, 23004, 540, 11506, 12768, 21063, 1949, 454, 268, 4635, 3684, 1565, 547, 2087, 5230, 11811, 23004, 454, 20373, 540, 2250, 14828, 543, 3785, 912, 268, 5564, 4593, 1446, 6514, 540, 3636, 5498, 1783, 13247, 26037, 630, 4944, 29107, 676, 22085, 293, 994, 268, 1401, 14032, 23004, 540, 24088, 11996, 585, 11811, 281, 16214, 543, 6388, 1210, 28681, 268, 9994, 532, 3631, 630, 4944, 29107, 676, 30857, 994, 268, 6820, 7634, 540, 11626, 3157, 2404, 609, 3665, 11811, 630, 4944, 29107, 676, 8331, 994, 268, 8262, 16661, 5680, 281, 589, 5871, 543, 12655, 8262, 4578, 24486, 538, 8081, 540, 16661, 20530, 2109, 3194, 543, 4065, 538, 29550, 630, 4944, 29107, 676, 22085, 293, 994, 268, 20970, 543, 2079, 540, 27248, 8544, 657, 7051, 12768, 21063, 1949, 543, 741, 7123, 10465, 4494, 1604, 1282, 519, 26111, 29175, 730, 1230, 557, 794, 693, 13957, 630, 303, 4488, 3198, 264, 2361, 4603, 630, 4944, 29107, 676, 22085, 293, 994, 268, 16792, 4365, 2079, 543, 20925, 2553, 547, 1174, 519, 3560, 543, 18254, 540, 11626, 9436, 689, 9456, 12548, 883, 27743, 13738, 2817, 5244, 454, 288, 2407, 1592, 540, 12326, 666, 581, 1336, 1934, 563, 265, 1607, 568, 3006, 1572, 519, 834, 5575, 4521, 540, 26592, 2776, 27457, 2787, 5983, 26511, 1701, 898, 568, 11911, 547, 595, 269, 674, 269, 932, 1952, 749, 267, 543, 8947, 538, 3178, 676, 667, 657, 6202, 1696, 620, 269, 630, 1960, 277, 1916, 1607, 1570, 568, 1759, 2390, 960, 6462, 676, 519, 2817, 3163, 7690, 896, 16827, 715, 657, 269, 589, 14899, 268, 12893, 278, 5655, 276, 267, 589, 14899, 268, 13670, 280, 7761, 278, 267, 543, 589, 5746, 268, 13970, 25484, 280, 269, 7102, 8369, 267, 4681, 267, 543, 8753, 610, 7840, 6829, 538, 713, 1570, 616, 1346, 540, 519, 2278, 4433, 264, 543, 798, 711, 8209, 2992, 519, 5784, 540, 519, 2817, 3163, 7690, 269, 0, 12812, 519, 2638, 7901, 585, 519, 3681, 547, 1820, 543, 1039, 547, 25849, 906, 543, 26888, 269, 10606, 476, 272, 547, 476, 1015, 563, 303, 514, 2201, 9752, 454, 20091, 3211, 616, 519, 3501, 1907, 547, 948, 707, 1126, 1020, 513, 2648, 585, 2542, 693, 606, 2038, 2085, 563, 15430, 1041, 2542, 3211, 1863, 269, 1452, 7792, 3211, 2285, 1053, 2259, 538, 2542, 2241, 5220, 609, 7899, 540, 6351, 689, 2592, 269, 5131, 15026, 6096, 585, 18014, 543, 15206, 269, 7335, 3211, 948, 1762, 1453, 2259, 7924, 543, 21711, 1983, 563, 763, 2063, 1079, 5036, 540, 5751, 13071, 3214, 723, 1187, 609, 2542, 678, 26680, 269, 8281, 476, 736, 1863, 7792, 2110, 20262, 1913, 3211, 585, 23021, 9656, 3214, 543, 3446, 476, 272, 1053, 269, 634, 2164, 540, 513, 18014, 7335, 10495, 666, 581, 1031, 676, 519, 1153, 610, 1256, 519, 4116, 547, 3313, 875, 1134, 519, 1126, 568, 2542, 563, 7476, 5215, 540, 4116, 2275, 2761, 539, 2238, 602, 5348, 322, 909, 609, 519, 1153, 1032, 269, 476, 6110, 271, 6096, 476, 6858, 18044, 15258, 30498, 476, 12893, 4518, 9248, 21584, 22843, 5022, 543, 2338, 6284, 16439, 13002, 2542, 2979, 2296, 18551, 2257, 7801, 12297, 547, 12297, 11015, 2759, 13594, 543, 811, 269, 901, 4015, 540, 1863, 2542, 3211, 6227, 513, 3099, 540, 5396, 899, 9904, 563, 3849, 634, 1034, 3102, 5399, 540, 1863, 7792, 3211, 3059, 3756, 585, 3214, 269, 13159, 713, 1863, 4647, 762, 6863, 4976, 547, 19046, 883, 9018, 2230, 609, 938, 23406, 20691, 269, 1635, 4758, 707, 1126, 519, 2596, 2645, 789, 991, 547, 1224, 693, 606, 2038, 2085, 596, 666, 2333, 741, 8458, 540, 4742, 513, 1390, 5467, 563, 3528, 1373, 2111, 547, 12314, 1913, 609, 2592, 1453, 786, 723, 606, 4443, 942, 1818, 513, 5347, 5912, 547, 811, 4359, 2542, 2326, 269, 8281, 476, 1015, 1863, 7792, 2542, 3211, 585, 23021, 9656, 3214, 543, 476, 272, 560, 3446, 1053, 269, 7335, 8223, 3211, 585, 9251, 543, 9656, 563, 10190, 789, 10250, 519, 4484, 589, 269, 918, 276, 4804, 3091, 1863, 3211, 15460, 543, 20522, 960, 9248, 585, 269, 7335, 5961, 476, 272, 2542, 5961, 476, 272, 563, 3383, 2436, 596, 616, 513, 2385, 4116, 610, 18954, 518, 1107, 723, 1187, 3695, 938, 1082, 1082, 2200, 269, 1520, 8342, 3102, 2228, 1565, 1062, 269, 11553, 2464, 29558, 5357, 268, 3918, 4696, 5058, 268, 19798, 8577, 16774, 11553, 2464, 29558, 5357, 30426, 5058, 6789, 306, 8577, 16774, 634, 1101, 1900, 538, 3478, 513, 18014, 7335, 10495, 563, 1220, 5131, 18014, 28826, 6096, 269, 901, 568, 606, 3573, 4015, 540, 1863, 9251, 3211, 2966, 585, 6502, 5111, 476, 274, 476, 275, 1296, 2025, 269, 5192, 5215, 540, 4116, 2275, 2761, 539, 2238, 602, 5348, 322, 909, 609, 519, 1153, 1032, 563, 3849, 634, 1034, 3102, 5399, 540, 1863, 7792, 3211, 3059, 3756, 585, 3214, 269, 7335, 3211, 948, 1762, 1453, 2259, 7924, 543, 21711, 1983, 269, 5131, 18014, 15026, 6096, 563, 2791, 666, 849, 19584, 998, 938, 22525, 25258, 543, 9656, 25258, 269, 23467, 1041, 3237, 666, 946, 938, 2542, 3211, 547, 4001, 741, 1453, 875, 547, 1224, 610, 7110, 707, 1126, 338, 1699, 2069, 547, 948, 17108, 741, 2542, 2208, 269, 5131, 15026, 18014, 6096, 3776, 3135, 568, 4904, 609, 1863, 9812, 547, 1118, 1565, 1187, 585, 22525, 9251, 840, 737, 543, 9656, 2085, 1053, 563, 5575, 3214, 10250, 3515, 593, 713, 840, 11779, 7124, 1603, 4976, 547, 7794, 519, 5386, 5179, 1983, 2877, 547, 1106, 519, 4484, 589, 269, 7335, 2110, 5220, 543, 5373, 3515, 547, 519, 12805, 5961, 269, 901, 568, 513, 3395, 4015, 540, 1863, 25258, 585, 23021, 2966, 585, 6502, 5111, 476, 274, 476, 275, 1296, 2025, 563, 28403, 1944, 543, 6031, 2110, 20262, 513, 552, 1775, 522, 579, 1913, 269, 15026, 3211, 4804, 3756, 12409, 7044, 16497, 8606, 1562, 476, 6200, 2164, 8606, 1562, 269, 476, 6200, 22012, 2164, 13068, 782, 12086, 563, 17582, 19298, 1331, 2241, 2984, 4553, 676, 2055, 607, 1134, 607, 5751, 593, 2542, 5220, 543, 15102, 678, 26680, 543, 15971, 8512, 540, 513, 4015, 540, 1863, 9656, 3211, 689, 918, 276, 4804, 269, 1306, 2542, 568, 835, 540, 519, 1034, 1271, 2943, 2352, 3344, 540, 1565, 2296, 649, 723, 2919, 891, 2542, 3211, 547, 948, 3214, 1451, 519, 1034, 2596, 1913, 269, 7335, 8223, 3211, 585, 9251, 543, 9656, 563, 15430, 1041, 7335, 6096, 543, 28826, 269, 18014, 7335, 10495, 568, 513, 1187, 2502, 1259, 547, 948, 5965, 1053, 585, 741, 1153, 1296, 269, 7335, 1360, 2110, 2984, 563, 3849, 8342, 3102, 2228, 1565, 1062, 563, 303, 514, 2201, 18014, 14313, 454, 303, 514, 2201, 9752, 853, 4428, 454, 303, 514, 2201, 1290, 2181, 985, 542, 700, 624, 7702, 454, 303, 514, 2201, 19785, 3430, 25760, 454, 294, 718, 2044, 540, 29055, 18014, 7335, 6096, 5131, 454, 16665, 24762, 585, 29055, 18014, 7335, 6096, 5131, 454, 268, 2986, 634, 7454, 32274, 16707, 6096, 10897, 454, 268, 18610 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3848, 476, 272, 281, 634, 26812, 3215, 2622, 540, 1325, 18090, 12518, 692, 296, 269, 4985, 692, 2026, 5726, 626, 5981, 18588, 21540, 2993, 553, 262, 1650, 14550, 267, 3006, 938, 18653, 1491, 721, 1524, 6397, 10092, 269, 1280, 1082, 27503, 27563, 267, 741, 22906, 5956, 609, 24566, 11864, 610, 29116, 11954, 5017, 269, 8616, 267, 607, 21540, 2993, 553, 4362, 267, 972, 616, 13300, 547, 581, 1336, 1851, 18803, 18508, 607, 1134, 910, 3226, 1369, 519, 7706, 540, 620, 18090, 2371, 269, 1452, 25836, 15013, 2709, 811, 982, 10742, 519, 3750, 282, 789, 4196, 607, 2565, 10832, 540, 2825, 1072, 267, 1683, 4105, 2200, 585, 7320, 267, 543, 22426, 2189, 14624, 8032, 676, 27453, 540, 12105, 12503, 269, 2913, 781, 5490, 883, 519, 9159, 1158, 540, 891, 1164, 268, 5306, 3363, 12325, 780, 2862, 269, 1548, 3657, 1325, 18090, 12518, 2496, 2704, 18090, 2371, 3277, 547, 2249, 602, 8853, 538, 29990, 4525, 6353, 676, 10792, 20296, 2175, 267, 1519, 1970, 5210, 267, 7920, 7943, 267, 2178, 12798, 267, 543, 6094, 11934, 269, 9603, 547, 891, 3665, 5054, 267, 620, 335, 1149, 8858, 10058, 7592, 7175, 6668, 896, 5918, 816, 269, 6201, 1331, 11741, 2208, 3029, 267, 1507, 3762, 630, 21865, 4988, 609, 24827, 1070, 543, 6905, 3395, 12405, 31764, 609, 15028, 4365, 3270, 780, 7656, 269, 11154, 633, 11150, 540, 1325, 18090, 12518, 692, 288, 269, 8447, 3004, 1080, 692, 272, 269, 3281, 716, 12618, 22553, 281, 1677, 7413, 4598, 547, 535, 3419, 573, 2011, 5210, 543, 15018, 12798, 267, 620, 335, 1149, 1419, 8263, 25224, 539, 588, 2137, 267, 554, 19982, 2673, 547, 519, 2666, 1141, 14246, 7213, 12885, 1282, 21765, 3108, 269, 901, 4640, 6971, 2627, 1858, 6534, 547, 3002, 2530, 1247, 21924, 1569, 547, 10475, 3037, 5567, 780, 273, 269, 670, 8543, 27817, 281, 3509, 620, 18090, 2249, 30107, 29822, 688, 1600, 6978, 7252, 267, 799, 15972, 513, 4494, 540, 32229, 1869, 2011, 2282, 519, 2030, 5160, 269, 3958, 267, 24827, 666, 2992, 3859, 5982, 2476, 689, 10347, 2281, 267, 7863, 1996, 3141, 3441, 780, 289, 269, 26263, 1670, 13786, 525, 692, 272, 269, 27326, 17164, 894, 11270, 338, 281, 2368, 620, 335, 1149, 17908, 5618, 9486, 540, 5078, 2916, 2175, 676, 14178, 741, 3543, 894, 5712, 3564, 1018, 1522, 581, 4397, 2016, 19355, 2837, 10291, 4805, 269, 1635, 27510, 2208, 4505, 538, 5614, 610, 8488, 532, 6845, 525, 12412, 2394, 2663, 538, 15489, 267, 891, 2371, 31194, 593, 2139, 2200, 950, 15712, 2611, 26862, 780, 273, 269, 7353, 6016, 1675, 545, 19938, 281, 4033, 620, 335, 1149, 15222, 1125, 11095, 13289, 609, 2584, 6016, 1675, 3259, 267, 2921, 5413, 540, 22150, 12119, 2242, 538, 1554, 26319, 269, 6270, 12557, 6127, 2327, 10285, 3646, 14626, 728, 609, 6099, 2825, 6381, 267, 7551, 7393, 8516, 16548, 780, 4353, 269, 11957, 540, 1325, 18090, 7233, 18877, 692, 8139, 620, 18090, 8134, 6585, 1713, 6286, 585, 6626, 8733, 3157, 1813, 547, 741, 5107, 607, 2366, 514, 1564, 540, 2518, 1689, 269, 9717, 741, 8417, 547, 10593, 538, 705, 8438, 2188, 899, 2837, 543, 13247, 267, 15088, 538, 620, 18090, 2950, 666, 22509, 17495, 578, 19260, 9648, 11992, 2066, 8916, 269, 9182, 267, 5464, 620, 18090, 9265, 2488, 3407, 4030, 3823, 1761, 5222, 2404, 609, 27643, 2916, 8337, 780, 11101, 267, 3875, 3662, 2249, 7048, 2390, 620, 18090, 2371, 607, 2959, 540, 1426, 543, 12062, 269, 4935, 267, 25137, 16856, 2030, 2950, 2640, 2404, 21426, 267, 4509, 6198, 8699, 2429, 3003, 512, 13116, 5121, 269, 1306, 1480, 5095, 4228, 2417, 883, 5892, 796, 514, 4725, 1243, 2127, 267, 3743, 19642, 3587, 5051, 1898, 547, 8190, 891, 17866, 9249, 543, 2149, 519, 9048, 2897, 762, 2533, 789, 1683, 780, 309, 269, 8865, 5530, 281, 23268, 31701, 14423, 3194, 538, 1325, 18090, 15661, 692, 20694, 18588, 21540, 2993, 553, 262, 1378, 1382, 6212, 593, 6079, 15325, 1369, 620, 18090, 26908, 267, 27283, 875, 4859, 8653, 5540, 23286, 4390, 269, 4173, 4681, 3180, 9153, 585, 13057, 608, 2198, 5726, 2994, 267, 4180, 1279, 3856, 23812, 540, 4686, 543, 21049, 2249, 3544, 741, 5065, 9832, 269, 3414, 10319, 12352, 1063, 3173, 267, 2244, 9946, 267, 543, 14519, 267, 7341, 6322, 693, 8497, 620, 18090, 9265, 786, 3136, 14027, 2509, 4264, 3853, 780, 9654, 269, 10390, 692, 1103, 3932, 267, 519, 1353, 540, 620, 18090, 2371, 3091, 3638, 3255, 585, 2502, 609, 1950, 6211, 2055, 4478, 9542, 267, 6043, 267, 543, 2146, 6384, 269, 5015, 267, 14237, 7071, 585, 891, 11527, 5737, 3954, 714, 839, 11942, 4656, 540, 10296, 2825, 4145, 267, 11121, 7104, 2962, 2509, 17846, 543, 9542, 3800, 269, 11569, 267, 607, 23576, 676, 21540, 2993, 553, 262, 3460, 267, 8508, 16012, 4690, 666, 1291, 547, 14785, 11678, 6131, 547, 17420, 3047, 781, 2067, 6561, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 5978, 11094, 19598, 542, 267, 5981, 18588, 21540, 2993, 553, 267, 5963, 28837, 606, 6932, 3318, 11094, 31313, 267, 4171, 2038, 2833, 3366, 1200, 547, 713, 4876, 2619, 543, 1200, 1271, 960, 547, 4688, 2371, 269, 3245, 6694, 5452, 547, 13155, 26868, 2371, 267, 5981, 18588, 20406, 3710, 519, 1983, 1352, 3096, 538, 1200, 960, 2221, 269, 1284, 7494, 5660, 1200, 11428, 547, 1382, 593, 620, 18090, 2371, 267, 543, 1200, 10070, 602, 3565, 547, 938, 1702, 540, 6079, 15325, 1107, 711, 547, 2446, 1200, 27277, 543, 6612, 2336, 2691, 1705, 596, 1101, 2887, 538, 2648, 609, 2371, 888, 31995, 909, 267, 594, 729, 2141, 6537, 547, 2831, 269, 769, 1804, 851, 267, 713, 1185, 547, 798, 609, 519, 4313, 789, 3177, 1107, 607, 513, 21183, 1126, 267, 621, 729, 2653, 585, 803, 547, 2911, 547, 543, 4159, 7553, 1472, 873, 269, 1809, 3206, 1394, 547, 1346, 7820, 1296, 267, 1256, 1498, 594, 949, 711, 723, 7691, 621, 693, 519, 942, 267, 594, 849, 5433, 6537, 547, 2371, 269, 594, 993, 3335, 711, 1390, 693, 19551, 1808, 2621, 689, 1250, 6689, 267, 855, 594, 723, 971, 12667, 8823, 540, 4730, 3330, 513, 1804, 21906, 538, 938, 535, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 18904, 13543, 1315, 12518, 1315, 26540, 1315, 1325, 18090, 12518, 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, 1012, 4197, 18926, 17738, 281, 18103, 1229, 8298, 527, 543, 1160, 4226, 692, 1103, 713, 1770, 267, 649, 3513, 2263, 1079, 8579, 3631, 1031, 585, 12605, 543, 2079, 281, 18103, 1229, 8298, 527, 543, 18103, 1229, 1160, 4226, 269, 1452, 3631, 616, 1031, 950, 519, 8200, 4756, 267, 610, 519, 6364, 649, 1616, 547, 3589, 267, 568, 3921, 1400, 267, 2495, 621, 814, 513, 2067, 1931, 267, 899, 1970, 267, 5420, 267, 543, 1164, 780, 2162, 18103, 1229, 8298, 527, 7844, 692, 763, 18103, 1229, 8298, 527, 2203, 568, 513, 1826, 540, 9695, 2203, 1031, 950, 519, 8200, 4756, 568, 3921, 1400, 269, 898, 781, 1759, 593, 519, 26848, 1599, 267, 799, 568, 606, 590, 11057, 7455, 602, 666, 1491, 1022, 1483, 29705, 4240, 1297, 543, 4786, 621, 883, 513, 1871, 1063, 476, 271, 543, 476, 272, 267, 855, 2760, 4010, 693, 1346, 7182, 780, 763, 26848, 1599, 568, 3989, 607, 1384, 16465, 303, 11583, 264, 815, 1422, 2765, 346, 272, 2410, 272, 1341, 552, 13064, 311, 3686, 454, 9681, 8489, 1269, 311, 259, 568, 519, 3403, 267, 1269, 324, 259, 568, 25586, 781, 1297, 630, 32191, 3160, 547, 476, 273, 269, 278, 1240, 2764, 1070, 543, 1269, 303, 11583, 7751, 568, 519, 3977, 267, 799, 9832, 689, 476, 271, 547, 476, 272, 780, 1103, 5124, 267, 649, 666, 2936, 519, 18103, 1229, 8298, 527, 2203, 1210, 519, 1739, 3009, 1384, 3499, 7090, 454, 5035, 18103, 1229, 19868, 527, 912, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 16691, 1030, 318, 815, 7183, 454, 1038, 1582, 269, 572, 318, 815, 7183, 454, 1038, 1582, 4877, 28767, 318, 815, 7183, 692, 825, 1219, 3514, 4311, 267, 2473, 267, 586, 2187, 1038, 1948, 28546, 519, 2203, 547, 519, 1239, 454, 1038, 1780, 692, 825, 1219, 3589, 4311, 267, 2473, 2187, 1038, 1948, 21023, 519, 6364, 585, 1007, 1239, 454, 1038, 1780, 454, 7884, 1103, 713, 3009, 267, 649, 5581, 513, 1362, 2387, 302, 6113, 1229, 19868, 527, 319, 609, 2409, 2387, 7257, 319, 543, 2387, 335, 9438, 18269, 634, 2387, 7257, 319, 1505, 568, 1031, 547, 5721, 519, 2203, 1210, 519, 3403, 1239, 2387, 311, 319, 543, 519, 3977, 1239, 2387, 344, 18269, 634, 2387, 335, 9438, 319, 1505, 568, 1031, 547, 1118, 11236, 593, 1007, 1239, 780, 2162, 18103, 1229, 1160, 4226, 7844, 692, 763, 18103, 1229, 1160, 4226, 2203, 568, 2147, 547, 519, 18103, 1229, 8298, 527, 2203, 267, 855, 621, 3096, 519, 19469, 3892, 1599, 630, 290, 5263, 264, 540, 519, 3044, 3339, 3892, 3079, 540, 519, 26848, 1599, 269, 634, 595, 5263, 540, 519, 3044, 3339, 3892, 568, 849, 606, 590, 11057, 7455, 267, 855, 621, 781, 3989, 8335, 1384, 16465, 315, 4942, 328, 11583, 264, 815, 1422, 2765, 346, 272, 7346, 6912, 346, 273, 19570, 3686, 1422, 842, 3709, 10559, 13727, 8703, 311, 348, 552, 3867, 10559, 2765, 346, 272, 2410, 273, 348, 339, 317, 273, 348, 24303, 454, 9681, 8489, 1269, 311, 259, 568, 519, 3403, 267, 4399, 7032, 259, 568, 519, 6310, 3586, 13100, 630, 32191, 3160, 547, 476, 274, 269, 15221, 6795, 1070, 543, 4399, 4942, 328, 11583, 7751, 568, 519, 3977, 267, 799, 9832, 689, 476, 271, 547, 476, 272, 780, 1103, 5124, 267, 649, 666, 2936, 519, 18103, 1229, 1160, 4226, 2203, 1210, 519, 1739, 3009, 1384, 3499, 7090, 454, 5035, 18103, 1229, 3682, 4226, 912, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 16691, 1030, 318, 815, 7183, 454, 1038, 1582, 269, 572, 318, 815, 7183, 692, 825, 1219, 3514, 4311, 267, 2473, 267, 586, 2187, 1038, 1948, 28546, 519, 2203, 547, 519, 1239, 454, 1038, 1780, 692, 825, 1219, 3589, 4311, 267, 2473, 2187, 1038, 1948, 21023, 519, 6364, 585, 1007, 1239, 454, 1038, 1780, 454, 7884, 1103, 713, 3009, 267, 649, 5581, 513, 1362, 2387, 302, 6113, 1229, 3682, 4226, 319, 609, 2409, 2387, 7257, 319, 543, 2387, 335, 9438, 18269, 634, 2387, 7257, 319, 1505, 568, 1031, 547, 5721, 519, 2203, 1210, 519, 3403, 1239, 2387, 311, 319, 543, 519, 3977, 1239, 2387, 344, 18269, 634, 2387, 335, 9438, 319, 1505, 568, 1031, 547, 1118, 11236, 593, 1007, 1239, 780, 2162, 13281, 519, 17738, 692, 2414, 2327, 938, 3631, 616, 2324, 7157, 267, 649, 666, 2328, 4255, 269, 589, 1449, 568, 513, 4062, 540, 3009, 602, 11974, 952, 1776, 4062, 540, 3009, 568, 2324, 607, 4397, 780, 2080, 781, 606, 1383, 540, 513, 1449, 585, 519, 2387, 302, 6113, 1229, 19868, 527, 319, 2203, 1384, 3499, 7090, 454, 5035, 4530, 302, 6113, 1229, 19868, 527, 912, 825, 1219, 1449, 7272, 28767, 4311, 2187, 1038, 10153, 815, 18103, 1229, 19868, 527, 4590, 1038, 10153, 4877, 28767, 318, 815, 5286, 15126, 8443, 271, 269, 4905, 267, 476, 271, 269, 6349, 267, 476, 271, 269, 6734, 7481, 1038, 4397, 7272, 28767, 318, 815, 5286, 15126, 8443, 271, 269, 4905, 267, 476, 271, 269, 6349, 267, 476, 271, 269, 6734, 7481, 1038, 7682, 318, 718, 29148, 263, 565, 4877, 28767, 318, 267, 4397, 7272, 28767, 318, 267, 678, 339, 565, 284, 271, 269, 4905, 994, 7884, 1103, 713, 1449, 267, 649, 1711, 606, 3236, 540, 519, 2387, 302, 6113, 1229, 19868, 527, 319, 1362, 267, 1305, 922, 2387, 335, 28767, 318, 319, 14487, 267, 543, 1287, 2638, 952, 621, 13292, 519, 4397, 2418, 780, 2080, 781, 606, 1383, 540, 513, 1449, 585, 519, 2387, 302, 6113, 1229, 3682, 4226, 319, 2203, 1384, 3499, 7090, 454, 5035, 4530, 302, 6113, 1229, 3682, 4226, 912, 825, 1219, 1449, 318, 659, 611, 5519, 318, 1723, 1030, 4311, 267, 2473, 318, 659, 611, 5519, 267, 586, 318, 659, 611, 5519, 2187, 1038, 1566, 815, 18103, 1229, 3682, 4226, 4590, 1038, 1566 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5814, 5365, 692, 5035, 5384, 719, 2750, 4003, 263, 2750, 4003, 2187, 476, 1780, 692, 5035, 5384, 719, 912, 476, 8173, 476, 5384, 719, 2796, 9614, 563, 476, 1280, 1383, 713, 3009, 786, 6318, 513, 5384, 719, 2750, 4003, 912, 476, 609, 5384, 719, 263, 572, 6948, 284, 276, 267, 5470, 318, 916, 326, 6889, 28036, 729, 1932, 1279, 257, 2187, 825, 942, 4732, 2748, 263, 1015, 994, 476, 8173, 476, 1219, 6449, 8181, 9191, 1345, 267, 7643, 267, 5470, 318, 916, 326, 22561, 2187, 825, 952, 5470, 318, 916, 326, 568, 7183, 912, 8587, 5470, 318, 916, 326, 815, 535, 31415, 574, 539, 856, 1310, 2715, 572, 6948, 348, 7643, 7055, 825, 1582, 269, 572, 6948, 815, 7643, 454, 825, 1582, 269, 19587, 318, 916, 326, 815, 5470, 318, 916, 326, 692, 476, 1219, 6023, 22710, 719, 4311, 267, 1129, 2541, 267, 7406, 2187, 825, 6318, 5384, 719, 2750, 4003, 4311, 269, 19587, 318, 916, 326, 2020, 476, 1219, 6449, 10938, 9191, 1345, 2187, 825, 5365, 4732, 793, 531, 4433, 793, 531, 2529, 5456, 3201, 305, 300, 267, 1582, 269, 8518, 548, 22710, 719, 994, 825, 5365, 269, 531, 1301, 4311, 269, 572, 6948, 2020, 476, 1219, 6449, 1410, 527, 9191, 1345, 267, 2300, 25292, 267, 2300, 26371, 267, 2300, 4671, 321, 2187, 825, 5365, 269, 531, 1301, 263, 271, 994, 0, 338, 815, 3403, 4590, 330, 815, 703, 9272, 15405, 11357, 1598, 902, 815, 11713, 1721, 1775, 538, 2039, 12759, 4433, 15892, 825, 585, 795, 538, 2039, 12759, 4433, 9984, 328, 266, 272, 2187, 1038, 1948, 1775, 7430, 360, 8161, 11210, 496, 12571, 486, 11210, 493, 7430, 505, 18998, 7430, 507, 7430, 497, 7430, 489, 11210, 487, 12916, 499, 24757, 21211, 7430, 378, 7430, 356, 11210, 496, 10254, 485, 11210, 488, 24731, 7430, 503, 7430, 489, 11210, 496, 329, 7430, 356, 10254, 353, 13161, 511, 7430, 503, 11210, 489, 12486, 271, 7430, 489, 11210, 487, 417, 356, 489, 7430, 378, 11210, 489, 28374, 7430, 356, 26514, 7430, 490, 7430, 356, 7430, 491, 11210, 489, 7430, 497, 7430, 357, 7430, 360, 21796, 357, 418, 482, 493, 7430, 503, 11210, 489, 25707, 1038, 1820, 3488, 328, 28121, 9574, 1775, 266, 329, 28121, 9574, 521, 5157, 281, 328, 266, 329, 24557, 24001, 8339, 8971, 9217, 267, 1775, 266, 329, 267, 521, 5157, 281, 328, 266, 329, 28413, 1038, 952, 795, 10922, 737, 543, 521, 5157, 281, 328, 266, 329, 316, 11203, 1412, 12466, 2018, 10799, 902, 6910, 4433, 5157, 281, 328, 266, 329, 7481, 11357, 1598, 902, 815, 15044, 263, 3553, 4433, 889, 1598, 902, 4917, 2745, 4433, 889, 1598, 902, 994, 2745, 4433, 889, 1598, 902, 25208, 268, 272, 8079, 0, 342, 815, 3403, 4590, 335, 815, 18358, 320, 3299, 1412, 328, 3299, 1412, 340, 3299, 1412, 324, 3299, 1412, 334, 23300, 1721, 1775, 538, 530, 912, 825, 952, 1775, 711, 538, 533, 912, 1038, 1820, 9217, 267, 1439, 284, 5257, 2020, 2745, 4590, 0, 338, 272, 815, 3403, 4590, 338, 815, 521, 272, 1341, 1412, 9340, 9340, 9340, 9340, 7055, 8161, 815, 476, 271, 454, 6112, 4994, 2999, 7003, 4433, 2187, 825, 2262, 815, 521, 27709, 281, 8161, 1341, 476, 276, 2639, 825, 1948, 1820, 27182, 994, 825, 952, 2262, 2652, 1412, 9340, 1556, 12466, 1038, 2736, 454, 825, 952, 1412, 272, 262, 538, 2262, 912, 1038, 1820, 2891, 17472, 5602, 1038, 14827, 10797, 825, 952, 2262, 2652, 1412, 323, 3195, 12466, 1038, 4994, 6834, 476, 276, 692, 1038, 952, 521, 27709, 281, 8161, 1341, 476, 273, 316, 2652, 1412, 518, 12466, 2018, 952, 521, 27709, 281, 8161, 1341, 476, 276, 316, 2652, 1412, 518, 848, 12466, 3546, 1780, 454, 2018, 3116, 912, 3546, 4994, 6834, 476, 273, 692, 825, 8640, 2262, 2652, 1412, 518, 848, 12466, 1038, 4994, 6834, 476, 276, 454, 1038, 952, 521, 27709, 316, 2652, 1412, 337, 12466, 2018, 4994, 6834, 476, 272, 692, 825, 3116, 912, 1038, 1820, 3488, 17472, 5073, 1038, 14827, 10797, 2745, 2891, 312, 2464, 5602, 0, 301, 815, 703, 9272, 15405, 306, 815, 3403, 4590, 15879, 10202, 815, 1412, 321, 7055, 1721, 1775, 538, 2039, 263, 272, 267, 715, 1341, 476, 272, 2187, 825, 952, 1775, 4939, 476, 274, 2652, 476, 271, 912, 1038, 31575, 815, 4779, 10202, 454, 1038, 4779, 10202, 815, 1412, 321, 262, 1341, 31575, 1341, 1412, 321, 28847, 825, 8640, 1775, 4939, 476, 274, 2652, 476, 272, 10778, 1038, 31575, 815, 4779, 10202, 454, 1038, 4779, 10202, 815, 1412, 320, 262, 1341, 31575, 1341, 1412, 322, 28847, 825, 8640, 1775, 4939, 476, 274, 2652, 476, 273, 912, 1038, 31575, 815, 4779, 10202, 454, 1038, 4779, 10202, 815, 1412, 322, 262, 1341, 31575, 1341, 1412, 320, 7055, 825, 1948, 1820, 9852, 334, 10202, 994, 825, 952, 7003, 9852, 334, 10202, 264, 13843, 715, 912, 1038, 952, 590, 2652, 4779, 10202, 912, 2018, 1820, 9217, 994, 2018, 14827, 4590, 1038, 3116, 912, 2018, 952, 590, 2525, 262, 321, 262, 543, 715, 2525, 272, 912, 3546, 1820, 263, 271, 994, 2018, 3116, 912, 3546, 1820, 8987, 272, 994, 3546, 14827, 4590, 0, 343, 815, 3403, 4590, 5320, 815, 18358, 334, 3299, 1412, 330, 3299, 1412, 340, 23300, 322, 660, 815, 476, 271, 454, 1721, 1775, 538, 2039, 12759, 3287, 15892, 825, 952, 1535, 5157, 316, 538, 2262, 912, 1038, 524, 660, 6834, 476, 272, 454, 825, 8640, 1535, 5157, 316, 2652, 1412, 322, 262, 543, 1535, 5157, 1341, 476, 272, 316, 2652, 1412, 327, 12466, 1038, 524, 660, 6834, 476, 273, 454, 2745, 2891, 312, 2464, 257, 952, 524, 660, 2652, 7003, 3287, 264, 3116, 1412, 17472, 5073, 0, 12163, 1607, 9074, 3568, 2653, 547, 946, 3252, 585, 12623, 13240, 14238, 1210, 454, 1492, 2387, 305, 6347, 319, 268, 14607, 3596, 332, 563, 20701, 5228, 15303, 334, 5861, 8327, 1104, 623, 298, 5425, 272, 318, 29151, 7968, 454, 5228, 15303, 334, 10422, 3016, 7659, 1104, 681, 6347, 7531, 258, 14238, 6724, 1031, 538, 713, 3758, 454, 305, 6347, 318, 300, 7495, 292, 815, 623, 298, 5425, 272, 318, 29151, 7968, 476, 1948, 281, 681, 6347, 14950, 3429, 7154, 454, 305, 6347, 318, 292, 815, 476, 277, 4649, 4391, 476, 1948, 281, 681, 6347, 1857, 20800, 454, 305, 6347, 318, 17395, 312, 318, 299, 2894, 29758, 3951, 306, 815, 476, 14225, 279, 476, 1948, 281, 681, 6347, 1883, 27480, 538, 11353, 454, 305, 6347, 318, 17395, 312, 318, 19489, 21316, 815, 1412, 303, 4932, 262, 476, 1948, 281, 681, 6347, 1883, 7721, 1636, 3898, 7531, 3698, 17278, 16597, 267, 1857, 318, 4486, 2187, 825, 8173, 825, 7402, 7973, 338, 519, 2016, 1239, 609, 519, 2016, 1857, 1883, 692, 825, 2433, 12407, 676, 339, 792, 2001, 3890, 1239, 281, 567, 519, 1239, 547, 17278, 454, 825, 2433, 12407, 9041, 305, 6347, 28128, 1857, 318, 4486, 281, 519, 1857, 1883, 547, 946, 585, 14238, 454, 825, 2433, 8873, 25466, 263, 2567, 19930, 519, 4611, 29905, 3667, 609, 519, 1031, 10001, 454, 4449, 25639, 3341, 2105, 454, 825, 29185, 825, 678, 21542, 815, 681, 6347, 318, 300, 7495, 292, 269, 2908, 9638, 3016, 318, 4486, 994, 825, 2132, 678, 21542, 269, 16780, 7973, 16597, 2020, 3698, 1232, 7973, 16597, 267, 4357, 318, 4486, 2187, 825, 8173, 825, 5463, 7973, 338, 519, 2016, 1239, 1210, 519, 2016, 4357, 1883, 692, 825, 2433, 12407, 25466, 3890, 1239, 281, 1038, 519, 1239, 547, 1232, 7973, 454, 825, 2433, 12407, 9041, 305, 6347, 28128, 4357, 318, 4486, 281, 519, 4357, 1883, 547, 946, 585, 1232, 11736, 454, 825, 2433, 8873, 25466, 263, 2567, 2018, 519, 4611, 10750, 3667, 454, 825, 29185, 825, 678, 21542, 815, 681, 6347, 318, 300, 7495, 292, 269, 2908, 263, 1440, 10675, 318, 4486, 994, 825, 2132, 678, 21542, 19709, 322, 7973, 16597, 2020, 3698, 1024, 318, 4486, 10031, 825, 8173, 825, 9198, 919, 513, 1007, 4351, 1883, 547, 946, 585, 12623, 13240, 14238, 692, 825, 2433, 8873, 9041, 305, 6347, 28128, 281, 519, 14477, 6383, 1883, 454, 825, 29185, 825, 2132, 681, 6347, 269, 2102, 4733, 27562, 6347, 318, 17395, 312, 318, 299, 2894, 29758, 3951, 306, 267, 552, 284, 305, 6347, 318, 292, 994, 0, 320, 815, 476, 272, 1477, 321, 815, 834, 305, 778, 527, 29177, 322, 815, 476, 274, 269, 271, 1477, 2745, 630, 320, 3418, 2745, 630, 321, 3418, 2745, 630, 322, 3418, 258, 6943, 26511, 1477, 320, 815, 10581, 5416, 3418, 258, 536, 815, 703, 5416, 264, 713, 568, 711, 2009, 513, 5569, 3112, 581, 10736, 883, 8870, 1871, 1477, 322, 815, 703, 6262, 3418, 2745, 5416, 3418, 2745, 6262, 3418, 323, 815, 834, 4029, 257, 1948, 527, 666, 581, 3382, 1540, 883, 8870, 1871, 1477, 323, 815, 476, 703, 5560, 3418, 2745, 5416, 266, 323, 3418, 0, 2745, 2891, 8702, 1677, 1286, 10794, 8206, 1422, 333, 7392, 6435, 547, 5700, 2859, 827, 875, 547, 1404, 713, 3014, 8206, 315, 333, 257, 10142, 12252, 284, 5257, 5897, 6112, 4971, 256, 284, 10181, 6769, 825, 4971, 284, 6358, 2891, 285, 834, 1040, 12294, 14052, 825, 952, 4971, 2652, 1412, 11034, 262, 6769, 1038, 1820, 2891, 10111, 568, 29035, 8206, 14744, 825, 8640, 4971, 2652, 1412, 17380, 262, 6769, 1038, 1820, 2891, 10111, 568, 17547, 6244, 8206, 14744, 825, 8640, 4971, 2652, 1412, 15276, 262, 6769, 1038, 1820, 2891, 3269, 825, 1477, 1038, 3399, 910, 3399, 519, 10794, 8206, 1477, 1038, 17547, 910, 1677, 17547, 519, 10794, 8206, 1477, 1038, 2372, 924, 910, 1677, 1401, 527, 519, 10794, 3269, 14744, 825, 8640, 4971, 2652, 1412, 10181, 262, 6769, 1038, 1820, 2891, 2791, 616, 1401, 1243, 519, 3014, 8206, 14744, 1038, 2736, 1477, 825, 3116, 6769, 1038, 1820, 2891, 2791, 5620, 9980, 1229, 654, 3994, 14893, 8206, 14744, 24653, 0, 5035, 19219, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 1871, 22561, 2187, 1038, 1582, 27841, 815, 1871, 454, 1038, 1582, 12785, 815, 7183, 22562, 825, 1219, 4159, 4311, 2187, 1038, 533, 13700, 815, 1582, 692, 1038, 1247, 533, 13700, 11203, 7183, 912, 2018, 1820, 263, 696, 337, 27841, 267, 1439, 6889, 19515, 2018, 533, 13700, 815, 533, 13700, 12785, 454, 1038, 1820, 10797, 825, 1219, 25276, 318, 5891, 4311, 2187, 1038, 952, 1582, 2652, 7183, 912, 2018, 2132, 28329, 1038, 19219, 18622, 15479, 633, 318, 5891, 4311, 12785, 994, 1038, 1820, 4311, 27841, 267, 1439, 6889, 834, 2020, 825, 1219, 1293, 4311, 2187, 1038, 1535, 815, 476, 271, 454, 1038, 952, 1582, 912, 2018, 1535, 815, 19219, 29644, 4311, 12785, 994, 2018, 2132, 1535, 1341, 476, 272, 28329, 1038, 2132, 476, 271, 22562, 825, 1219, 14805, 566, 4311, 2187, 1038, 952, 1582, 2652, 7183, 912, 2018, 2132, 476, 271, 692, 1038, 1871, 815, 1582, 27841, 1341, 19219, 4732, 17026, 566, 4311, 12785, 994, 1038, 2132, 1871, 692, 825, 1219, 5021, 4311, 2187, 1038, 952, 1582, 12785, 2652, 7183, 912, 2018, 2132, 1582, 27841, 22562, 1038, 1871, 815, 19219, 27982, 3065, 4311, 12785, 2020, 1038, 952, 1871, 3436, 1582, 27841, 912, 2018, 2132, 1871, 454, 1038, 3116, 912, 2018, 2132, 1582, 27841, 692, 825, 1219, 3406, 4311, 267, 1871, 2187, 1038, 952, 1582, 2652, 7183, 912, 2018, 2132, 8771, 28329, 1038, 952, 1582, 27841, 2652, 1871, 912, 2018, 2132, 6936, 28329, 1038, 2132, 19219, 269, 14142, 4311, 12785, 267, 1871, 2020, 825, 1219, 1847, 15461, 318, 3650, 4311, 267, 7173, 267, 533, 13700, 2187, 1038, 7173, 12785, 815, 533, 13700, 12785, 454, 1038, 10917, 815, 1582, 12785, 454, 1038, 1582, 815, 533, 13700, 454, 1038, 1582, 12785, 815, 10917, 22562, 825, 1219, 4824, 318, 14142, 4311, 267, 1871, 2187, 1038, 533, 13700, 815, 1582, 454, 1038, 7173, 815, 533, 13700, 692, 1038, 1247, 533, 13700, 11203, 7183, 912, 2018, 952, 533, 13700, 27841, 2652, 1871, 912, 3546, 19219, 6230, 913, 15461, 318, 3650, 4311, 267, 7173, 267, 533, 13700, 994, 3546, 2132, 6936, 454, 27030, 2018, 7173, 815, 533, 13700, 454, 2018, 533, 13700, 815, 533, 13700, 12785, 692, 1038, 2132, 8771, 692, 825, 1219, 7696, 4311, 267, 4994, 267, 1871, 2187, 1038, 2518, 2212, 692, 1038, 1293, 815, 476, 272, 454, 1038, 533, 13700, 815, 1582, 454, 1038, 7173, 815, 533, 13700, 692, 1038, 1247, 1293, 2999, 4994, 912, 2018, 7173, 815, 533, 13700, 454, 2018, 533, 13700, 815, 533, 13700, 12785, 454, 2018, 1293, 6834, 476, 272, 28329, 1038, 1535, 815, 19219, 263, 7407, 994, 13872, 1038, 952, 4994, 2652, 476, 271, 912, 2018, 1535, 12785, 815, 1582, 454, 2018, 2212, 815, 1535, 454, 2018, 2132, 692, 1038, 1535, 12785, 815, 533, 13700, 12785, 454 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3544, 519, 2136, 2276, 268, 7189, 723, 2938, 2665, 538, 2342, 267, 4516, 543, 3624, 269, 634, 2475, 1546, 696, 269, 540, 3397, 269, 814, 849, 1336, 835, 8833, 540, 2051, 626, 514, 15033, 661, 269, 19546, 538, 513, 2582, 3732, 540, 513, 6477, 16892, 282, 789, 616, 3843, 547, 4137, 856, 875, 519, 6477, 3357, 883, 3346, 609, 519, 23487, 539, 24077, 1872, 543, 547, 1294, 2436, 1022, 824, 2831, 941, 12936, 563, 2710, 4701, 723, 1044, 9963, 827, 713, 3390, 585, 1296, 607, 649, 723, 4797, 547, 936, 26078, 9216, 11216, 602, 960, 268, 538, 1312, 1004, 543, 2831, 269, 1924, 267, 1247, 519, 15509, 814, 1572, 891, 1079, 2665, 513, 9963, 1129, 268, 2864, 982, 513, 31685, 268, 649, 5749, 1406, 856, 540, 519, 18137, 269, 634, 1483, 6161, 568, 602, 7592, 540, 713, 4686, 267, 30354, 2051, 626, 514, 9113, 11962, 661, 269, 19546, 1223, 7914, 547, 824, 4551, 630, 7474, 4431, 1152, 547, 2051, 626, 514, 264, 543, 1711, 513, 1007, 13417, 31463, 762, 24077, 1872, 269, 1403, 602, 4523, 267, 835, 5359, 5267, 602, 15084, 15033, 5563, 1223, 1267, 538, 519, 7972, 540, 3368, 519, 2550, 945, 1831, 7783, 563, 4407, 713, 568, 519, 1101, 2013, 267, 621, 6157, 4465, 1406, 581, 519, 2063, 269, 2311, 930, 1448, 267, 950, 922, 1932, 3735, 267, 649, 786, 8275, 649, 1058, 723, 11074, 936, 6748, 11216, 543, 3079, 2919, 1007, 5061, 602, 5249, 269, 2107, 5310, 2219, 3544, 519, 4216, 543, 6743, 693, 11041, 899, 20957, 1146, 334, 799, 616, 11212, 2178, 267, 2067, 17617, 597, 1023, 270, 656, 756, 1461, 10118, 563, 763, 15509, 3081, 1142, 1032, 538, 519, 2136, 2276, 267, 693, 2547, 476, 273, 2929, 1004, 1831, 7783, 609, 824, 5686, 540, 4551, 602, 666, 1406, 581, 29041, 609, 1034, 11216, 267, 543, 540, 873, 267, 693, 2547, 476, 2537, 267, 1822, 1004, 5884, 269, 898, 779, 942, 547, 957, 2712, 326, 1836, 1317, 713, 568, 8806, 519, 9133, 540, 519, 4672, 6199, 269, 0, 14240, 540, 512, 1495, 571, 2220, 534, 454, 281, 513, 5065, 3345, 1977, 2220, 534, 630, 24426, 3913, 639, 897, 3518, 1014, 639, 264, 602, 814, 513, 2571, 1164, 1790, 17097, 1289, 267, 14981, 538, 519, 818, 8157, 512, 1495, 571, 267, 543, 24475, 538, 13719, 4195, 610, 6070, 1216, 2523, 2059, 519, 9456, 543, 7262, 5032, 338, 540, 519, 772, 2529, 563, 1765, 1572, 849, 627, 626, 1782, 2220, 534, 454, 16605, 29957, 585, 811, 454, 27094, 1913, 286, 10261, 1256, 811, 8847, 286, 30560, 26713, 268, 31812, 796, 30457, 454, 24552, 693, 7591, 454, 268, 2201, 2552, 10330, 540, 13038, 9293, 454, 268, 589, 6733, 693, 1133, 21720, 2201, 25959, 641, 4141, 807, 454, 268, 1772, 7327, 983, 1412, 5445, 262, 513, 14568, 14893, 888, 268, 9293, 689, 5259, 543, 5824, 13658, 6875, 519, 7688, 454, 268, 8745, 2334, 774, 532, 281, 10960, 9990, 6875, 519, 7688, 454, 268, 1215, 16200, 1772, 2659, 18500, 286, 6875, 519, 7688, 454, 268, 27392, 10699, 539, 7591, 519, 3014, 0, 26156, 8054, 630, 8054, 1070, 24433, 12332, 562, 563, 268, 513, 29039, 1448, 540, 519, 22315, 267, 476, 3445, 4113, 547, 519, 2451, 950, 6849, 5087, 267, 7222, 547, 519, 1448, 1141, 519, 3141, 568, 2938, 547, 1305, 269, 2806, 1962, 12727, 654, 454, 268, 519, 4287, 538, 799, 713, 1448, 6013, 563, 268, 630, 17141, 1698, 4700, 513, 3148, 610, 8513, 13883, 538, 713, 4287, 267, 17611, 269, 519, 7262, 851, 540, 519, 772, 2529, 1421, 607, 13747, 689, 519, 5101, 281, 513, 16314, 7552, 998, 519, 4639, 563, 268, 630, 5115, 4700, 519, 7262, 851, 540, 519, 1158, 267, 607, 13747, 689, 519, 5101, 610, 18112, 550, 3248, 268, 630, 5115, 4700, 519, 1875, 4211, 2174, 684, 626, 2477, 540, 5375, 2342, 543, 519, 17113, 563, 268, 9859, 610, 23312, 4724, 519, 7178, 563, 268, 4947, 689, 519, 7178, 281, 513, 7178, 2842, 563, 268, 14084, 4724, 610, 13883, 538, 519, 7178, 563, 268, 1496, 31319, 3380, 20426, 9188, 793, 908, 267, 14084, 4724, 267, 610, 538, 602, 851, 540, 513, 5939, 6587, 547, 543, 17439, 4554, 689, 519, 26749, 563, 268, 547, 267, 4724, 267, 610, 538, 519, 7178, 281, 634, 1286, 18188, 7178, 563, 268, 689, 519, 7178, 281, 634, 2842, 6926, 342, 7178, 563, 268, 979, 7178, 267, 1496, 1103, 845, 531, 20426, 1729, 5884, 563, 5472, 718, 630, 20110, 331, 1070, 24433, 12332, 7755, 563, 268, 519, 2898, 540, 630, 4310, 538, 13288, 547, 7274, 267, 6708, 267, 610, 8653, 2567, 782, 519, 14735, 282, 782, 519, 1259, 282, 782, 1032, 563, 268, 519, 2898, 1297, 540, 630, 4310, 538, 13288, 547, 2043, 610, 1880, 338, 267, 3144, 15217, 2567, 782, 1053, 563, 268, 519, 6574, 2009, 630, 4310, 538, 13288, 547, 2298, 610, 4110, 2567, 609, 782, 1813, 2463, 282, 609, 782, 3432, 563, 268, 1169, 281, 782, 5686, 282, 782, 12204, 563, 1415, 8726, 281, 3564, 782, 8969, 563, 268, 4986, 855, 3248, 21671, 281, 634, 10359, 568, 782, 15144, 563, 268, 13856, 676, 610, 607, 952, 676, 519, 17736, 545, 6681, 15896, 610, 946, 540, 513, 1880, 4183, 281, 634, 897, 339, 729, 782, 7953, 269, 1358, 941, 782, 10772, 267, 6947, 18906, 1947, 547, 3388, 1352, 1767, 563, 268, 1496, 2419, 3971, 569, 12425, 4436, 20426, 718, 8854, 3248, 21129, 1639, 281, 634, 2650, 568, 782, 563, 268, 519, 2898, 7274, 610, 2179, 281, 1261, 17696, 782, 540, 519, 30637, 269, 2353, 616, 8854, 563, 268, 519, 2898, 1297, 3248, 22336, 835, 281, 782, 540, 721, 563, 268, 3388, 281, 1772, 602, 782, 596, 1616, 547, 2161, 286, 2353, 568, 4503, 563, 268, 835, 781, 2898, 1719, 267, 1648, 267, 610, 3959, 281, 547, 2285, 835, 781, 782, 282, 547, 6336, 835, 781, 782, 563, 268, 630, 21865, 1698, 4700, 519, 3003, 7122, 563, 268, 1657, 782, 267, 1354, 3388, 3116, 3248, 2151, 12187, 281, 26361, 782, 267, 519, 2370, 8004, 4941, 513, 14440, 563, 268, 1310, 782, 267, 538, 19220, 540, 519, 6381, 3248, 2254, 5976, 9227, 281, 1261, 3357, 538, 942, 1310, 782, 563, 268, 782, 538, 782, 912, 268, 3388, 2808, 3248, 514, 2489, 281, 2353, 538, 782, 267, 1200, 1072, 568, 7494, 4824, 563, 268, 15587, 281, 1703, 941, 12964, 15534, 4315, 782, 538, 782, 563, 22336, 2251, 9833, 607, 1271, 281, 27006, 2968, 1010, 782, 538, 782, 563, 268, 782, 538, 1688, 267, 630, 1993, 519, 5299, 585, 2010, 23293, 513, 1880, 2376, 267, 1433, 267, 3390, 267, 3092, 4700, 538, 519, 15896, 540, 519, 9152, 3218, 563, 268, 543, 782, 267, 1927, 609, 1169, 824, 2404, 610, 4448, 14487, 267, 1843, 267, 610, 25896, 281, 1548, 609, 519, 6777, 543, 782, 267, 649, 949, 581, 513, 2370, 3735, 563, 268, 693, 782, 912, 268, 538, 519, 13581, 652, 4110, 281, 594, 7012, 1405, 14281, 693, 782, 563, 268, 585, 1022, 2601, 281, 4208, 21898, 693, 782, 888, 268, 538, 1022, 1259, 281, 1100, 25213, 693, 782, 563, 268, 585, 782, 630, 7474, 1070, 538, 19220, 540, 3248, 2254, 5976, 9227, 281, 1280, 782, 602, 267, 621, 729, 513, 1434, 1032, 563, 268, 538, 782, 267, 782, 3769, 3248, 718, 1927, 281, 513, 4627, 14538, 538, 782, 563, 268, 2899, 543, 585, 782, 267, 585, 519, 2063, 942, 3248, 325, 3373, 281, 634, 2013, 729, 12306, 2899, 543, 585, 782, 950, 519, 9029, 729, 17792, 563, 14814, 569, 281, 782, 4805, 563, 1410, 13254, 281, 1261, 6170, 1010, 4747, 782, 593, 12257, 563, 777, 19991, 281, 634, 6060, 729, 835, 782, 563, 268, 782, 693, 2899, 269, 6423, 2899, 630, 3698, 269, 476, 1691, 1916, 268, 782, 855, 267, 3592, 3248, 854, 5176, 281, 1452, 9075, 616, 782, 855, 4666, 563, 268, 782, 538, 267, 8832, 543, 5375, 772, 2529, 269, 1360, 13110, 3248, 1410, 9151, 539, 281, 1284, 941, 782, 538, 693, 519, 1439, 540, 519, 1554, 563, 268, 782, 538, 519, 2842, 267, 1932, 2673, 547, 519, 2842, 563, 268, 782, 856, 267, 609, 782, 2139, 1797, 610, 4674, 281, 1284, 4682, 782, 856, 547, 3094, 519, 2112, 563, 268, 782, 936, 912, 514, 1169, 851, 563, 268, 538, 1169, 2463, 3248, 268, 782, 7555, 267, 1496, 301, 2246, 24358, 268, 538, 971, 513, 1259, 543, 865, 10393, 602, 521, 5661, 610, 9817, 616, 1869, 1305, 547, 4412, 601, 513, 6077, 4464, 281, 634, 6928, 10443, 989, 1037, 782, 7555, 563, 268, 4628, 8052, 1117, 281, 634, 12284, 5828, 538, 782, 7555, 563, 268, 4628, 9280, 267, 607, 513, 6077, 563, 268, 782, 602, 267, 26526, 3248, 20657, 3660, 569, 630, 4310, 538, 2942, 25481, 2567, 898, 781, 711, 782, 602, 1114, 689, 707, 824, 2777, 563, 268, 782, 519, 1732, 267, 811, 25368, 3248, 810, 1454, 519, 1732, 281, 1403, 519, 3141, 31438, 621, 786, 581, 782, 519, 1732, 585, 938, 7552, 563, 268, 782, 972, 267, 1496, 1103, 845, 531, 20426, 618, 958, 19579, 3248, 2254, 1202, 2033, 610, 13927, 1076, 16490, 281, 2368, 540, 1010, 2484, 325, 564, 3481, 2093, 1500, 721, 14353, 602, 646, 7012, 1405, 782, 972, 563, 268, 782, 519, 1482, 269, 6423, 1482, 630, 3698, 269, 476, 279, 1916, 268, 782, 5143, 269, 6423, 5143, 630, 3698, 269, 476, 273, 1916, 268, 782, 909, 912, 268, 1496, 19530, 1421, 4260, 333, 20426, 263, 1993, 5299, 264, 4625, 1305, 538, 1826, 563, 268, 1496, 1103, 845, 531, 20426, 5976, 1100, 22514, 15607, 540, 4126, 6967, 281, 898, 781, 782, 909, 609, 6723, 9789, 344, 4312, 9575, 1864, 563, 8170, 1993, 272, 630, 12320, 267, 9065, 282, 13417, 5962, 476, 16745, 341, 610, 267, 17611, 269, 1354, 19283, 1218, 267, 476, 16745, 1070, 24433, 12332, 3341, 563, 268, 630, 4310, 547, 5815, 3845, 610, 4287, 689, 267, 9668, 267, 22975, 267, 3092, 269, 2567, 1369, 513, 13304, 540, 519, 5939, 282, 5045, 540, 15345, 21036, 282, 547, 581, 3775, 5523, 540, 835, 781, 2724, 563, 268, 630, 4310, 547, 5815, 8174, 566, 267, 5169, 267, 610, 2707, 2567, 513, 812, 540, 1434, 1920, 282, 519, 4249, 540, 9956, 282, 513, 4062, 540, 14735, 563, 268, 630, 4310, 547, 5815, 2014, 267, 30254, 267, 8317, 267, 610, 2601, 2567, 547, 5884, 540, 14000, 563, 268, 630, 4310, 547, 5815, 1570, 267, 5057, 2694, 267, 6219, 267, 610, 9115, 2567, 513, 10571, 540, 16536, 282, 513, 1433, 540, 9954, 282, 513, 10189, 540, 10381, 563, 268, 630, 4310, 547, 5815, 813, 3789, 610, 3961, 2567, 1772, 602, 7329, 3999, 540, 513, 6455, 2006, 10912, 1586, 888, 268, 630, 4310, 547, 5815, 1808, 3961, 610, 513, 1880, 6221, 1369, 513, 7121, 2567, 519, 2749, 540, 9628, 282, 4555, 540, 2648, 563, 268, 630, 4310, 547, 5815, 15896, 267, 4276, 267, 610, 7681, 2567, 519, 4622, 540, 5333, 282, 519, 3959, 540, 519, 5939, 563, 268, 630, 4310, 547, 5815, 10014, 538, 513, 1297, 267, 1362, 267, 610, 2898, 2567, 835, 540, 721, 563, 268, 630, 4310, 547, 5815, 519, 6662, 6935, 267, 519, 1843, 540, 519, 2962, 7074, 676, 519, 18631, 10902, 610, 519, 3498, 540, 513, 8231, 610, 18781, 2567, 519, 30366, 540, 30518, 282, 1261, 11339, 1200, 540, 1753, 282, 594, 6415, 13110, 540, 2324, 563, 268, 630, 4310, 547, 5815, 4704, 610, 2463, 2567, 1703, 568, 2911, 540, 4708, 563, 268, 630, 4310, 547, 5815, 7907, 610, 10305, 2567, 606, 5605, 26513, 540, 7415, 8671, 563, 268, 630, 4310, 547, 5815, 513, 9138, 942, 2567, 1358, 8452, 540, 606, 10543, 563, 268, 1496, 2419, 3971, 569, 8832, 772, 2529, 20426, 29592, 519, 5662, 540, 3248, 2863, 559, 281, 8938, 3764, 540, 2947, 563, 268, 593, 519, 851, 540, 281, 898, 729, 1360, 1611, 540, 596, 547, 14902, 693, 803, 563, 268, 538, 2463, 547, 281, 18239, 540, 3723, 563, 268, 1305, 11735, 585, 610, 13991, 547, 281, 513, 8792, 540, 11755, 563, 268, 1496, 6635, 15939, 545, 20426, 2421, 281, 10057, 540, 17494, 563, 763, 1492, 272, 630, 560, 5962, 18841, 369, 374, 25207, 282, 13417, 5962, 1354, 513, 27901, 18841, 369, 374, 16745, 3248, 684, 560, 5962, 1354, 513, 20262, 18841, 369, 374, 25207, 1070, 24433, 12332, 17386, 2376, 563, 268, 630, 4310, 267, 17611, 269, 1354, 513, 10902, 267, 609, 513, 28408, 610, 1880, 1944, 1198, 267, 607, 10353, 547, 519, 22543, 9548, 610, 2489, 1944, 3196, 540, 519, 22543, 9548, 2376, 513, 610, 606, 2567, 519, 1433, 596, 5795, 803, 282, 22067 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4263, 519, 6380, 1168, 599, 17365, 4558, 538, 25763, 6115, 267, 667, 5861, 1421, 519, 16003, 1957, 543, 1957, 28734, 3296, 814, 1044, 8900, 585, 1034, 540, 519, 2063, 1079, 3275, 269, 19343, 1686, 281, 634, 3504, 8129, 540, 4158, 5389, 15955, 267, 1215, 10271, 1071, 19945, 1540, 519, 5162, 1151, 560, 823, 15955, 267, 476, 1839, 15019, 32733, 2060, 5080, 29418, 623, 12298, 17959, 15955, 269, 18774, 523, 1143, 2670, 519, 2757, 267, 4874, 1492, 2065, 4984, 540, 3504, 10255, 267, 18949, 539, 538, 543, 9862, 547, 519, 2413, 1158, 269, 634, 5259, 2817, 7788, 15208, 543, 513, 2101, 3909, 9702, 609, 4108, 1612, 3547, 538, 519, 3677, 10034, 543, 4872, 20136, 22842, 10255, 781, 11802, 538, 519, 2112, 540, 14412, 1996, 519, 5695, 802, 945, 1185, 13026, 519, 2197, 585, 476, 6110, 1296, 269, 898, 568, 593, 713, 552, 557, 602, 835, 26549, 741, 5293, 1920, 267, 2828, 543, 2785, 328, 1513, 269, 6787, 596, 2461, 25384, 610, 711, 267, 621, 568, 1434, 547, 1832, 538, 2247, 519, 12405, 543, 1018, 789, 2099, 269, 17747, 1303, 836, 2211, 3322, 16046, 1079, 3615, 267, 1818, 873, 13789, 607, 835, 693, 513, 3845, 269, 631, 629, 517, 568, 519, 12625, 540, 15489, 543, 609, 621, 519, 556, 12686, 540, 519, 7556, 269, 634, 4155, 689, 18603, 547, 519, 4884, 729, 513, 1390, 31145, 602, 1082, 945, 5030, 1282, 519, 717, 3285, 534, 1974, 1131, 1491, 693, 2547, 2899, 538, 741, 10715, 269, 634, 7389, 540, 519, 1007, 543, 2407, 24262, 616, 849, 7396, 269, 589, 22673, 945, 12651, 5777, 1705, 711, 1711, 519, 23138, 781, 2799, 991, 282, 646, 610, 1352, 568, 8806, 32232, 547, 621, 563, 1607, 3085, 1405, 1611, 267, 540, 1576, 267, 602, 519, 3902, 575, 537, 3455, 568, 12592, 676, 5621, 745, 1143, 269, 4438, 3339, 2053, 267, 513, 3640, 540, 1688, 24846, 6500, 1522, 1942, 519, 1482, 607, 513, 11480, 540, 2699, 9174, 269, 3509, 5640, 3494, 602, 27223, 781, 1554, 568, 6508, 689, 713, 9702, 267, 1256, 1498, 621, 781, 3957, 1310, 513, 12004, 344, 1042, 4168, 23920, 269, 2026, 596, 666, 1294, 972, 568, 513, 2601, 547, 8661, 1175, 827, 1022, 1554, 540, 519, 1032, 269, 1280, 4892, 945, 1131, 899, 547, 4444, 1688, 24846, 6500, 29932, 1957, 28734, 267, 16003, 1957, 267, 7738, 530, 6346, 267, 610, 13968, 11652, 666, 1405, 1265, 1022, 267, 3902, 575, 537, 3101, 4031, 616, 513, 4411, 4313, 269, 1358, 616, 281, 634, 6967, 623, 12298, 14812, 267, 590, 13741, 1846, 267, 616, 9976, 593, 2407, 24262, 610, 538, 519, 2013, 540, 6341, 327, 664, 519, 4158, 7599, 269, 22189, 645, 9007, 6499, 721, 547, 723, 1732, 19929, 269, 12207, 3035, 7658, 1636, 566, 14634, 269, 2701, 859, 12097, 519, 12680, 32537, 543, 16136, 1177, 824, 3344, 540, 7499, 4082, 269, 28678, 540, 9338, 1410, 663, 337, 883, 20770, 676, 8176, 2274, 645, 684, 269, 4438, 519, 27565, 807, 16008, 267, 519, 8695, 1131, 1747, 741, 13032, 320, 593, 519, 26749, 609, 513, 9376, 540, 741, 4552, 610, 11132, 4552, 543, 4142, 6510, 621, 547, 519, 10971, 540, 519, 7622, 267, 700, 4100, 269, 634, 11812, 7018, 1472, 519, 594, 9188, 540, 4728, 2443, 606, 25337, 9702, 540, 12204, 18245, 519, 26923, 540, 25840, 19332, 269, 8000, 10633, 23125, 8185, 593, 519, 4313, 10624, 1765, 5733, 1117, 267, 28777, 267, 22304, 267, 610, 538, 546, 636, 31958, 899, 22815, 690, 625, 269, 9282, 646, 8815, 609, 9400, 29861, 9469, 543, 18332, 12231, 29353, 267, 646, 6444, 873, 607, 13032, 625, 269, 19410, 776, 689, 3544, 3906, 543, 3173, 1058, 581, 6035, 269, 8074, 281, 4340, 547, 930, 2959, 519, 715, 655, 525, 807, 8593, 593, 4864, 476, 2641, 269, 898, 568, 519, 942, 538, 799, 2063, 21339, 616, 1500, 585, 519, 4947, 4411, 3275, 269, 634, 4279, 667, 542, 903, 807, 729, 513, 10565, 13037, 602, 10704, 1472, 519, 14364, 269, 901, 21649, 729, 606, 2479, 4657, 9702, 607, 621, 729, 8200, 593, 519, 538, 1495, 566, 540, 519, 20407, 5211, 269, 901, 568, 513, 4190, 7778, 269, 634, 12738, 941, 10704, 1472, 519, 7556, 9979, 543, 1759, 593, 519, 5259, 1650, 540, 5915, 2678, 543, 1200, 8250, 3131, 572, 7483, 945, 729, 5645, 547, 519, 896, 16447, 676, 670, 3547, 269, 6733, 883, 5289, 4978, 540, 31180, 267, 849, 1360, 26871, 656, 4724, 519, 3618, 2073, 3141, 543, 12405, 855, 1360, 1114, 5389, 1547, 31054, 1299, 17897, 531, 21998, 13749, 2044, 2353, 769, 10903, 725, 1299, 7433, 3267, 670, 3547, 8061, 10899, 21281, 910, 10690, 6978, 522, 565, 784, 7401, 267, 32175, 20511, 7401, 267, 18774, 21329, 25384, 267, 5259, 267, 4936, 267, 2696, 540, 12280, 267, 3131, 572, 7483, 267, 32624, 267, 25384, 26749, 634, 20288, 560, 310, 3558, 269, 1403, 2576, 3081, 972, 781, 11956, 538, 602, 267, 596, 666, 2161, 267, 1412, 2254, 538, 713, 835, 9538, 634, 11706, 568, 1759, 593, 519, 10865, 543, 5993, 2616, 1734, 543, 15976, 540, 519, 3504, 23723, 2103, 689, 827, 476, 8517, 14514, 547, 476, 26825, 14514, 269, 634, 946, 540, 14546, 585, 6492, 4422, 1394, 19599, 2484, 269, 11088, 267, 1082, 540, 891, 962, 2544, 9821, 616, 1869, 4553, 2221, 607, 10271, 2429, 519, 1296, 11368, 621, 883, 14812, 899, 8285, 269, 769, 824, 2694, 540, 3504, 18774, 553, 267, 899, 645, 4141, 582, 807, 267, 519, 1007, 1032, 3323, 609, 519, 1101, 8289, 532, 540, 519, 1007, 7599, 1310, 519, 5162, 1151, 560, 823, 269, 634, 13664, 8390, 538, 1018, 729, 2139, 543, 2442, 814, 20077, 856, 12137, 1127, 540, 6237, 267, 2757, 16919, 267, 8108, 25992, 24996, 10659, 585, 2477, 543, 2950, 1472, 519, 1158, 2221, 563, 288, 812, 1131, 12638, 1010, 1920, 952, 646, 31372, 2394, 3368, 540, 5162, 729, 2944, 547, 5965, 1010, 1920, 17005, 5162, 563, 3719, 1022, 22673, 945, 23465, 547, 1699, 6433, 2175, 676, 2810, 5777, 593, 538, 24683, 663, 2472, 949, 581, 22867, 513, 6760, 269, 3245, 6300, 634, 20288, 560, 310, 3558, 269, 476, 276, 856, 540, 476, 276, 6801, 630, 280, 7597, 264, 476, 280, 7597, 8039, 1269, 476, 278, 269, 7597, 269, 2353, 23723, 1014, 4961, 543, 1082, 824, 8436, 689, 10255, 1131, 7390, 519, 15976, 269, 14914, 10732, 568, 9277, 547, 581, 519, 1554, 2441, 729, 759, 584, 5550, 539, 267, 855, 1256, 602, 851, 3884, 1406, 3020, 2901, 269, 2549, 594, 7508, 1945, 286, 19077, 320, 568, 519, 544, 1749, 28026, 11812, 540, 519, 13074, 1554, 543, 20125, 3781, 540, 519, 1032, 563, 289, 9007, 14902, 338, 1055, 519, 17573, 9880, 602, 646, 781, 513, 6976, 695, 650, 269, 589, 1390, 4308, 540, 2413, 14812, 6508, 689, 9147, 4936, 7908, 8481, 269, 2701, 8843, 513, 1455, 1275, 609, 519, 15831, 23394, 573, 17709, 540, 27421, 269, 32632, 24419, 514, 689, 20274, 593, 5147, 476, 1556, 267, 476, 1001, 276, 281, 594, 2141, 2972, 1565, 827, 1585, 4529, 543, 23658, 30743, 269, 7831, 10732, 594, 11540, 476, 278, 12085, 1284, 744, 933, 623, 12298, 1715, 1260, 619, 267, 513, 1592, 540, 1018, 1346, 540, 721, 538, 519, 623, 12298, 2146, 1590, 798, 547, 11886, 938, 13800, 540, 24756, 585, 2560, 3509, 5640, 1631, 3494, 602, 713, 1522, 723, 1044, 10704, 1472, 513, 20369, 32676, 545, 8400, 269, 589, 1353, 4881, 585, 476, 3393, 1296, 814, 10372, 269, 654, 545, 4754, 7747, 891, 2395, 607, 590, 13741, 1846, 269, 590, 8205, 3131, 334, 3960, 328, 630, 10461, 264, 689, 4993, 593, 5239, 476, 6860, 267, 476, 1001, 273, 281, 14173, 1399, 29425, 689, 14400, 1633, 593, 5239, 476, 6860, 267, 476, 1001, 273, 269, 901, 11706, 568, 519, 2324, 11706, 540, 18774, 523, 542, 267, 513, 3309, 1895, 540, 18774, 21329, 4874, 1492, 1235, 4687, 519, 1455, 3804, 540, 2713, 513, 1272, 540, 14039, 1214, 543, 1697, 2463, 585, 519, 29331, 540, 744, 569, 332, 1842, 543, 3504, 18774, 21329, 2245, 269, 4746, 267, 12696, 616, 10996, 643, 1242, 547, 1118, 811, 269, 27029, 297, 517, 11936, 645, 9007, 267, 606, 13930, 7548, 538, 519, 4972, 540, 9978, 7070, 693, 12924, 3951, 26376, 5025, 337, 330, 12436, 267, 8057, 13110, 540, 7487, 782, 540, 519, 834, 323, 6064, 532, 593, 4550, 8686, 1314, 343, 619, 1701, 700, 7676, 19063, 611, 327, 281, 3689, 28610, 630, 20606, 476, 272, 264, 476, 278, 269, 25028, 2033, 281, 16635, 540, 9605, 282, 2904, 1485, 630, 9802, 476, 272, 264, 476, 276, 269, 623, 12298, 18984, 11040, 538, 19744, 31054, 18270, 725, 10120, 1235, 14492, 269, 589, 942, 547, 2285, 14696, 543, 7064, 547, 519, 12680, 540, 5614, 267, 7908, 8481, 1376, 593, 519, 552, 557, 540, 2904, 476, 272, 560, 609, 2462, 4190, 13755, 18394, 8204, 1272, 543, 1439, 593, 2904, 476, 272, 560, 609, 9849, 8768, 31750, 543, 15472, 519, 949, 335, 1961, 269, 1635, 1210, 519, 1876, 547, 3196, 2685, 1832, 5777, 2630, 1018, 1004, 1131, 2628, 538, 606, 6595, 267, 2829, 5512, 11876, 8973, 563, 10454, 11452, 6669, 9789, 572, 616, 1360, 2241, 30422, 269, 634, 7826, 5939, 6811, 602, 853, 269, 23394, 573, 729, 513, 1483, 1268, 269, 2060, 1142, 4005, 267, 972, 616, 1978, 1919, 547, 2307, 585, 610, 15752, 547, 1305, 602, 13469, 609, 602, 1880, 942, 540, 519, 1032, 269, 19077, 320, 281, 14400, 3752, 560, 823, 630, 18907, 476, 866, 1700, 2537, 264, 476, 277, 269, 16842, 5777, 2061, 11991, 11876, 8973, 269, 2334, 1767, 267, 1247, 14453, 3549, 6157, 723, 513, 3950, 2594, 540, 9746, 26846, 267, 10074, 1152, 2272, 585, 476, 273, 2600, 540, 12434, 1765, 14551, 569, 6666, 16933, 899, 1928, 26973, 619, 543, 31520, 269, 3509, 5640, 3494, 602, 27223, 781, 1554, 568, 6508, 689, 713, 9702, 267, 1256, 1498, 621, 781, 2560, 634, 2021, 693, 713, 942, 20888, 519, 561, 10449, 543, 19914, 569, 536, 1563, 741, 2960, 547, 581, 13394, 3603, 538, 713, 12680, 678, 924, 269, 630, 2690, 3099, 543, 14619, 267, 891, 2474, 786, 581, 1031, 954, 577, 836, 2406, 2429, 713, 14174, 304, 4700, 898, 729, 711, 942, 547, 5965, 267, 621, 729, 942, 547, 1413, 4464, 609, 4126, 21339, 2907, 1500, 1131, 3411, 823, 543, 519, 1920, 1131, 2661, 547, 1294, 5614, 269, 8347, 3909, 17509, 607, 513, 1505, 540, 22729, 1354, 9161, 269, 645, 9007, 20147, 938, 2911, 593, 1018, 596, 1522, 2161, 568, 513, 29014, 4063, 269, 1548, 568, 18774, 523, 1143, 657, 286, 1323, 4367, 547, 519, 1686, 540, 25384, 14812, 543, 519, 1259, 538, 799, 3504, 16873, 3136, 547, 1265, 513, 1747, 538, 2413, 2729, 269, 898, 22842, 519, 1007, 7556, 540, 3694, 543, 4195, 5613, 267, 3947, 14696, 585, 621, 267, 543, 568, 849, 519, 942, 950, 1082, 1131, 1831, 9310, 269, 570, 6686, 6883, 523, 281, 15011, 337, 27119, 20198, 267, 476, 1220, 271, 269, 1452, 14812, 8956, 543, 8661, 519, 12405, 543, 9979, 540, 1272, 585, 1346, 945, 2259, 25384, 1143, 610, 654, 545, 8619, 269, 3509, 2413, 533, 698, 753, 3277, 547, 19077, 320, 3274, 607, 968, 300, 1749, 28026, 1848, 269, 476, 279, 623, 12298, 32733, 4112, 7134, 476, 272, 269, 589, 3902, 575, 537, 3455, 2306, 513, 1434, 10151, 1630, 334, 613, 344, 2006, 269, 31888, 543, 824, 2984, 1131, 581, 973, 1243, 585, 713, 8317, 269, 17397, 676, 9484, 327, 4275, 538, 18774, 21329, 267, 623, 12298, 1143, 543, 28562, 609, 4165, 515, 3122, 807, 267, 5259, 623, 12298, 1143, 267, 25384, 1143, 4728, 476, 274, 267, 476, 1001, 273, 769, 519, 4690, 540, 9796, 532, 2859, 23206, 547, 623, 12298, 14812, 3544, 519, 13598, 5375, 3864, 476, 279, 267, 513, 6126, 4165, 515, 3122, 807, 547, 782, 18774, 21329, 623, 698, 753, 543, 1866, 945, 616, 14120, 713, 3018, 269, 634, 1655, 1131, 581, 6074, 676, 16488, 945, 1131, 1287, 8366, 513, 16101, 547, 519, 1655, 10564, 269, 2048, 11742, 568, 13412, 685, 281, 4208, 942, 10596, 5488, 29691, 513, 7823, 982, 693, 4262, 1377, 267, 476, 1724, 2835, 3025, 1058, 1224, 543, 1946, 32737, 20366, 676, 596, 269, 589, 3406, 2228, 585, 3486, 4313, 3536, 5828, 909, 1082, 2147, 3466, 267, 855, 609, 7899, 540, 8390, 269, 634, 5412, 476, 1839, 628, 623, 12298, 31054, 269, 5853, 539, 538, 519, 2136, 2276, 538, 476, 1220, 272, 267, 18774, 523, 542, 14439, 922, 2853, 607, 834, 295, 749, 21329, 623, 12298, 25608, 1143, 257, 543, 11363, 3140, 6111, 538, 922, 5692, 3948, 269, 27565, 807, 729, 606, 3504, 21649, 543, 678, 924, 540, 8574 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6459, 21134, 5602, 825, 1820, 2891, 29551, 8563, 29391, 4138, 16021, 1412, 272, 269, 273, 262, 18194, 31124, 11714, 9924, 10948, 25986, 6459, 23845, 9326, 11012, 7846, 9261, 9261, 9924, 11012, 1247, 268, 30530, 7549, 6459, 21134, 5602, 825, 1820, 2891, 29551, 8563, 29391, 4138, 16021, 1412, 272, 269, 274, 262, 18194, 31124, 11714, 9924, 10948, 25986, 6459, 23845, 9326, 11012, 7846, 9261, 9261, 9924, 476, 16417, 7549, 7846, 4814, 4736, 4138, 3264, 13953, 5602, 825, 1820, 2891, 29551, 8563, 29391, 4138, 16021, 1412, 273, 262, 18194, 31124, 11714, 9924, 10948, 25986, 6459, 23845, 9326, 11012, 16021, 10528, 23845, 18194, 8563, 26281, 24012, 5602, 825, 1820, 2891, 29551, 8563, 29391, 4138, 16021, 1412, 274, 262, 18194, 31124, 11714, 9924, 10948, 25986, 6459, 23845, 9326, 524, 16417, 9686, 4709, 3264, 15671, 3378, 25602, 23485, 32553, 9261, 20046, 4138, 10948, 27799, 7549, 22147, 3378, 5602, 825, 1820, 2891, 29551, 8563, 29391, 4138, 16021, 1412, 275, 262, 18194, 31124, 11714, 9924, 10948, 25986, 6459, 23845, 9326, 14359, 21134, 3264, 13077, 24893, 25986, 20977, 11714, 10780, 25974, 6459, 29391, 13833, 3522, 16021, 23783, 21170, 13150, 4138, 2843, 353, 4138, 16648, 3378, 20265, 10948, 10948, 4138, 5602, 825, 1820, 2891, 29551, 8563, 29391, 4138, 16021, 1412, 276, 262, 18194, 31124, 11714, 9924, 10948, 25986, 6459, 23845, 9326, 16044, 482, 3522, 7549, 4344, 18775, 4138, 3522, 20977, 5602, 825, 1820, 2891, 29551, 8563, 29391, 4138, 16021, 1412, 277, 262, 18194, 31124, 30935, 9261, 12811, 9924, 20413, 3522, 7549, 4736, 4138, 9261, 3522, 23783, 4709, 22147, 3378, 21660, 20413, 4138, 17221, 9261, 3522, 23783, 21170, 3264, 15800, 21660, 29652, 18775, 30324, 5602, 825, 1820, 2891, 29551, 8563, 29391, 4138, 16021, 1412, 278, 262, 18194, 31124, 21660, 17153, 5284, 370, 9686, 23845, 9326, 476, 13077, 4736, 13150, 3378, 9326, 17221, 9326, 20413, 3264, 21833, 9686, 7846, 476, 26580, 10948, 18547, 9261, 4138, 5602, 825, 1820, 2891, 29551, 8563, 29391, 4138, 16021, 1412, 279, 262, 18194, 31124, 10780, 3378, 13150, 4814, 3378, 23845, 9326, 476, 28314, 13077, 32553, 4138, 18547, 476, 4344, 13077, 3264, 7549, 4344, 18775, 4138, 4138, 11012, 20265, 4814, 9326, 28027, 5602, 825, 1820, 2891, 29551, 8563, 29391, 4138, 16021, 1412, 271, 262, 18194, 31124, 11714, 9924, 17153, 19757, 3522, 257, 9239, 825, 3593, 17750, 815, 3403, 2891, 281, 15419, 825, 952, 3593, 17750, 2652, 834, 271, 13426, 1038, 2736, 7531, 825, 8640, 3593, 17750, 2652, 834, 272, 269, 272, 13426, 1038, 2040, 272, 815, 3403, 2891, 29551, 8563, 29391, 4138, 16021, 24893, 25986, 20977, 24893, 3264, 16417, 13194, 29824, 29652, 3264, 6459, 281, 5602, 1038, 2040, 272, 815, 2040, 272, 21858, 4590, 13872, 1038, 7117, 815, 11713, 13872, 1038, 585, 1775, 538, 2040, 272, 912, 2018, 7117, 6910, 17301, 9217, 4917, 2018, 530, 815, 2040, 22607, 994, 2018, 1820, 26028, 2020, 825, 8640, 3593, 17750, 2652, 834, 272, 269, 273, 13426, 1038, 521, 815, 1496, 842, 3287, 264, 585, 1535, 538, 3403, 2891, 29551, 8563, 29391, 4138, 16021, 24893, 25986, 20977, 24893, 3264, 16417, 13194, 29824, 29652, 3264, 6459, 20257, 20889, 3890, 6540, 1038, 1775, 815, 476, 271, 692, 1038, 2040, 2742, 815, 476, 271, 692, 1038, 1247, 1775, 2999, 7003, 4433, 2187, 2018, 2040, 2742, 6834, 521, 5157, 2639, 2018, 1775, 6834, 476, 272, 692, 1038, 1820, 4433, 636, 2742, 2020, 825, 8640, 3593, 17750, 2652, 834, 272, 269, 274, 13426, 1038, 7117, 933, 284, 3403, 2891, 29551, 8563, 29391, 4138, 16021, 24893, 25986, 20977, 24893, 3264, 16417, 13194, 29824, 29652, 3264, 6459, 281, 5602, 1038, 7117, 933, 815, 7117, 933, 21858, 4590, 1038, 554, 815, 476, 271, 454, 1038, 737, 815, 476, 271, 7531, 1038, 1219, 2040, 272, 9638, 267, 330, 272, 815, 271, 2187, 2018, 737, 272, 6834, 10581, 32429, 933, 314, 335, 910, 476, 272, 7481, 2018, 952, 533, 2652, 476, 271, 912, 3546, 2132, 476, 271, 454, 2018, 2132, 2040, 272, 9638, 910, 476, 272, 264, 1341, 737, 272, 7531, 1038, 1820, 4433, 636, 274, 9230, 6352, 32429, 933, 4297, 4917, 13872 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 736, 8472, 7589, 630, 7761, 269, 736, 1070, 4783, 8633, 267, 1719, 630, 10037, 269, 279, 8472, 23206, 630, 10037, 269, 279, 8472, 30880, 630, 10436, 269, 275, 22103, 634, 3932, 540, 713, 1353, 568, 602, 519, 6602, 1505, 666, 2087, 2875, 9740, 543, 849, 814, 513, 2318, 1198, 593, 2810, 1565, 8404, 540, 4147, 2473, 570, 15014, 1053, 693, 15382, 298, 10598, 29800, 476, 272, 17833, 527, 1263, 1695, 19681, 784, 534, 538, 519, 476, 1001, 279, 270, 1001, 280, 4081, 1032, 543, 713, 1565, 1505, 666, 581, 1031, 607, 606, 4244, 547, 1565, 2296, 269, 1547, 0, 2690, 2243, 476, 272, 268, 1626, 1265, 519, 7508, 1913, 538, 519, 5624, 269, 2422, 1152, 835, 2262, 585, 1142, 2230, 563, 291, 9734, 1403, 2576, 24864, 596, 1055, 513, 29384, 9008, 1810, 1405, 1413, 1524, 267, 1317, 607, 4166, 607, 596, 29311, 602, 972, 781, 1100, 2666, 896, 707, 3952, 267, 596, 616, 10279, 3808, 547, 7485, 513, 1350, 636, 3068, 543, 1287, 6749, 899, 513, 6149, 609, 606, 620, 332, 26663, 16154, 950, 596, 5734, 519, 2666, 538, 513, 18061, 540, 7452, 269, 272, 454, 8489, 5620, 2353, 634, 6153, 14295, 9398, 717, 821, 286, 21609, 3125, 786, 630, 272, 264, 12223, 581, 519, 1482, 1586, 269, 5457, 14349, 544, 1941, 902, 6170, 21514, 978, 532, 593, 519, 865, 17304, 267, 5662, 630, 273, 264, 12223, 5662, 267, 8384, 707, 19463, 27977, 286, 630, 274, 264, 12223, 972, 723, 1044, 513, 1732, 8007, 585, 519, 1279, 1153, 3018, 602, 1185, 1185, 547, 581, 28815, 286, 645, 13903, 645, 22324, 267, 18496, 667, 3089, 267, 12130, 4486, 31040, 4547, 12303, 2661, 883, 630, 275, 264, 12223, 2713, 11623, 269, 7982, 1287, 267, 789, 941, 538, 3109, 543, 3043, 267, 543, 1394, 1287, 267, 789, 941, 5921, 547, 27873, 267, 547, 7038, 563, 2005, 4667, 630, 276, 264, 12223, 814, 4957, 910, 543, 9090, 630, 277, 264, 12223, 519, 8338, 269, 3767, 950, 596, 2490, 593, 519, 8613, 593, 513, 14349, 610, 10732, 6640, 267, 596, 798, 630, 278, 264, 12223, 693, 707, 1378, 1981, 256, 2142, 5423, 547, 13720, 5208, 538, 782, 922, 19347, 18710, 281, 1011, 5317, 23038, 267, 9991, 5656, 267, 1025, 5074, 9604, 267, 543, 3983, 18560, 1310, 3983, 18560, 269, 594, 1810, 1405, 1294, 630, 279, 264, 12223, 568, 16168, 827, 713, 2112, 6244, 5075, 540, 938, 2053, 543, 938, 2486, 269, 630, 280, 264, 12223, 798, 594, 1294, 1018, 781, 4502, 8384, 593, 891, 15961, 609, 630, 1015, 264, 12223, 27615, 13135, 1286, 545, 2137, 540, 1434, 543, 9409, 269, 5808, 568, 3743, 585, 1453, 781, 5752, 891, 2395, 888, 2005, 3112, 581, 1434, 585, 2221, 781, 6107, 547, 581, 6534, 630, 1556, 264, 12223, 713, 1826, 540, 9913, 269, 630, 1321, 264, 12223, 1655, 789, 616, 7508, 856, 630, 1724, 264, 12223, 519, 1208, 712, 267, 8417, 543, 5837, 4245, 602, 941, 547, 581, 1185, 689, 519, 27977, 540, 2025, 269, 2311, 10782, 267, 741, 1126, 880, 12058, 616, 630, 1691, 264, 12223, 4904, 609, 10207, 540, 1875, 3613, 641, 5208, 543, 2093, 602, 616, 25432, 18348, 269, 19974, 1058, 581, 513, 942, 540, 26454, 267, 2110, 24331, 607, 621, 630, 1428, 264, 12223, 581, 538, 891, 24360, 2053, 538, 799, 649, 2661, 269, 12344, 649, 1058, 7703, 713, 538, 2247, 519, 1985, 942, 649, 1294, 938, 1126, 1350, 4240, 630, 1428, 264, 12223, 547, 519, 7641, 593, 513, 14349, 6640, 269, 8058, 454, 268, 5808, 781, 707, 19463, 888, 268, 4208, 798, 596, 899, 873, 888, 268, 1548, 798, 789, 798, 602, 781, 865, 16168, 888, 2710, 596, 917, 891, 3197, 286, 10817, 612, 519, 14295, 3019, 10886, 14295, 3019, 454, 290, 691, 9398, 543, 28523, 1115, 538, 9177, 454, 303, 6269, 1115, 543, 27977, 723, 513, 2027, 12046, 547, 24040, 15494, 543, 9015, 269, 6145, 519, 2025, 5480, 795, 22246, 267, 789, 666, 11884, 1397, 721, 1018, 649, 1522, 899, 547, 798, 6000, 855, 616, 711, 4847, 547, 798, 1317, 649, 4250, 1514, 15494, 563, 30860, 602, 930, 20419, 3197, 616, 4847, 547, 1471, 322, 3585, 4323, 1346, 789, 1810, 1405, 3858, 609, 267, 1312, 9308, 543, 8231, 958, 269, 1452, 2395, 267, 649, 616, 711, 4847, 547, 1256, 9900, 1793, 777, 2576, 538, 3210, 547, 1945, 789, 1705, 269, 634, 2518, 1235, 1616, 547, 4894, 782, 9263, 2604, 4625, 269, 22893, 616, 547, 581, 2241, 10437, 540, 519, 1533, 267, 1510, 543, 2702, 547, 2769, 8369, 593, 519, 7180, 540, 1866, 563, 289, 7473, 10691, 2475, 454, 5327, 21564, 4658, 1210, 10960, 5450, 777, 4243, 454, 1692, 1223, 891, 1913, 581, 1031, 547, 4766, 513, 1268, 888, 268, 10371, 1862, 593, 2486, 0, 3674, 14498, 519, 1353, 540, 4205, 1851, 7103, 888, 292, 19223, 568, 519, 1353, 540, 4205, 1063, 7103, 543, 741, 3295, 268, 476, 902, 1519, 824, 7103, 269, 5029, 3359, 1332, 267, 9062, 267, 19582, 1114, 4525, 267, 14526, 609, 1866, 585, 2200, 267, 10352, 2390, 1866, 267, 2981, 883, 1114, 2249, 3092, 269, 3509, 4277, 2055, 666, 581, 4280, 540, 713, 3376, 666, 341, 817, 563, 1432, 568, 519, 1353, 540, 4205, 1063, 7103, 1572, 888, 1815, 1108, 267, 849, 1572, 6915, 1815, 1108, 267, 536, 542, 15299, 267, 610, 2825, 7350, 267, 1353, 540, 519, 3347, 1063, 7103, 543, 741, 1604, 269, 2560, 1452, 4205, 1063, 2043, 267, 1063, 5095, 267, 543, 1063, 7103, 543, 741, 1604, 1106, 8733, 1949, 267, 610, 8134, 563, 1432, 568, 519, 1353, 540, 519, 4205, 1851, 7103, 543, 741, 5054, 888, 292, 19223, 568, 519, 1353, 540, 519, 4205, 1063, 7103, 543, 741, 2168, 543, 1979, 5328, 1604, 563, 3963, 798, 7103, 2170, 609, 7103, 888, 1103, 782, 891, 5054, 267, 7103, 2170, 543, 946, 2139, 2200, 267, 971, 607, 1426, 267, 2230, 267, 1769, 267, 3002, 267, 1216, 267, 2011, 267, 543, 12062, 269, 3962, 2551, 540, 7103, 267, 543, 519, 2043, 1369, 621, 267, 2170, 538, 1808, 2081, 602, 616, 3908, 676, 543, 666, 4324, 689, 824, 7103, 563, 1432, 568, 14498, 945, 5795, 519, 2165, 14498, 888, 763, 3312, 4214, 568, 689, 21321, 560, 670, 2801, 1188, 601, 267, 945, 3989, 14498, 607, 519, 1353, 540, 519, 2078, 540, 7103, 609, 741, 1604, 563, 3674, 519, 1353, 540, 1259, 7103, 2170, 609, 1142, 824, 888, 763, 1353, 540, 875, 7103, 2170, 609, 1142, 824, 543, 609, 741, 1604, 568, 1572, 14498, 563, 1432, 2165, 4016, 547, 519, 5872, 1851, 2713, 7103, 543, 741, 1604, 888, 292, 19223, 568, 519, 7936, 540, 7350, 7231, 609, 519, 1894, 543, 4205, 1063, 7103, 543, 741, 1604, 269, 634, 2713, 2146, 540, 2371, 543, 2831, 538, 1022, 1858, 1927, 609, 519, 1875, 331, 1516, 3334, 540, 519, 1604, 1606, 1276, 607, 3037, 267, 2011, 543, 1216, 268, 6247, 3482, 519, 5117, 269, 0, 295, 3041, 6200, 3848, 476, 272, 454, 2690, 11889, 5301, 538, 519, 6196, 8003, 267, 5527, 729, 454, 323, 22866, 883, 16899, 1572, 562, 2345, 543, 18170, 676, 9930, 1105, 338, 563, 23192, 519, 14642, 597, 529, 1381, 729, 11603, 585, 454, 1492, 14547, 945, 1223, 6488, 11091, 540, 519, 1560, 563, 1103, 6476, 547, 23104, 1014, 2486, 267, 12266, 2486, 729, 454, 288, 330, 1156, 22760, 568, 1655, 1634, 585, 1010, 28336, 3801, 547, 6963, 5527, 779, 454, 7617, 568, 711, 3020, 540, 12266, 1148, 454, 527, 729, 14350, 22192, 267, 11609, 676, 1082, 30753, 5159, 563, 6097, 547, 12266, 18381, 267, 519, 943, 21198, 6508, 1010, 6392, 689, 454, 1492, 1249, 602, 646, 729, 9228, 607, 513, 10143, 6293, 540, 1931, 543, 10103, 454, 763, 2262, 968, 303, 1446, 18070, 892, 1797, 968, 1245, 6149, 7536, 1103, 3504, 12977, 267, 19730, 1131, 5372, 7601, 1317, 454, 321, 1258, 2763, 729, 9875, 543, 811, 14463, 563, 5472, 540, 519, 1739, 616, 5156, 547, 581, 7835, 540, 519, 19232, 18070, 6520, 4849, 454, 763, 2834, 2504, 540, 1426, 998, 6683, 454, 763, 2165, 968, 322, 2753, 1436, 892, 4016, 547, 1480, 7239, 799, 267, 10838, 824, 2934, 2676, 17647, 606, 4683, 1445, 543, 3982, 3909, 2497, 563, 763, 14610, 13019, 330, 611, 267, 945, 3964, 519, 1101, 10504, 538, 5681, 518, 1309, 269, 476, 23056, 271, 645, 5861, 269, 729, 454, 763, 17122, 2798, 543, 2959, 540, 1272, 585, 519, 3504, 21072, 941, 519, 454, 301, 850, 5211, 543, 519, 943, 21198, 338, 454, 763, 2038, 32665, 5736, 4718, 454, 320, 3500, 5912, 689, 10122, 543, 11018, 547, 606, 6694, 2486, 563, 763, 2262, 968, 1492, 7100, 892, 1797, 968, 22364, 676, 519, 16999, 7536, 763, 2596, 1770, 540, 2038, 23104, 1014, 10340, 729, 519, 454, 7617, 540, 519, 1739, 568, 711, 606, 21475, 26049, 1893, 888, 7617, 540, 519, 1739, 12266, 10971, 729, 1034, 5702, 2404, 609, 519, 544, 17026, 2305, 540, 519, 4666, 888, 1103, 519, 19412, 18818, 2540, 519, 21072, 941, 9141, 856, 5212, 21157, 543, 1394, 547, 741, 3312, 4395, 4536, 676, 519, 454, 763, 1390, 5339, 12473, 540, 519, 3504, 5681, 518, 2103, 729, 1634, 607, 519, 3883, 540, 519, 16458, 454, 763, 29980, 540, 16500, 31521, 327, 11414, 602, 454, 16058, 1272, 568, 2352, 543, 23629, 1275, 568, 1152, 585, 519, 10971, 563, 763, 1101, 2413, 30941, 18682, 16772, 454, 14140, 7902, 538, 4000, 1063, 476, 1220, 267, 1822, 543, 476, 5611, 267, 1822, 1296, 3516, 454, 7617, 540, 519, 1739, 568, 711, 3020, 540, 12266, 1514, 1272, 888, 11321, 17699, 941, 1759, 593, 2648, 543, 2123, 16007, 563, 7617, 540, 519, 1739, 6898, 1655, 10039, 547, 519, 4567, 540, 2021, 538, 23104, 1014, 2486, 888, 763, 4807, 779, 1909, 729, 547, 581, 538, 519, 1753, 543, 7449, 969, 1304, 547, 1200, 9393, 563, 26200, 513, 12054, 12792, 18702, 1004, 945, 22467, 3603, 5527, 538, 519, 27867, 2540, 645, 5861, 563, 3891, 328, 5766, 569, 874, 923, 1797, 968, 3240, 20712, 7536, 763, 2168, 1604, 540, 519, 23104, 2103, 3622, 3366, 547, 454, 320, 533, 612, 574, 2065, 19773, 609, 606, 8561, 593, 17598, 741, 14220, 10971, 563, 3080, 540, 519, 9510, 1634, 6694, 14252, 267, 4092, 538, 21157, 267, 729, 454, 763, 670, 8636, 2572, 5129, 606, 1271, 1909, 538, 519, 1686, 540, 519, 5664, 5101, 1317, 789, 454, 10520, 4784, 23104, 1014, 2528, 547, 519, 7178, 267, 2523, 547, 519, 29901, 6511, 523, 16380, 454, 763, 9998, 540, 519, 23104, 1014, 23693, 729, 8547, 676, 16500, 31521, 327, 563, 26123, 12266, 1686, 568, 5258, 883, 12223, 2101, 5712, 454, 288, 5443, 14653, 788, 10001, 568, 1655, 1634, 585, 454, 1492, 10151, 10380, 540, 519, 5601, 540, 519, 3141, 12210, 538, 12266, 2528, 454, 763, 4346, 540, 3504, 5527, 16941, 1034, 8185, 593, 454, 306, 10179, 1014, 15438, 6508, 741, 6392, 689, 454, 1103, 989, 337, 4115, 7239, 267, 606, 2804, 21045, 568, 1426, 799, 568, 454, 4310, 547, 1489, 513, 1875, 2000, 629, 1681, 16918, 454, 763, 1101, 4630, 514, 573, 547, 4734, 4000, 543, 1847, 883, 2342, 543, 5607, 729, 5851, 590, 777, 16772, 454, 292, 5118, 779, 6196, 8003, 8694, 585, 782, 540, 519, 1739, 4849, 454, 763, 3312, 21475, 7232, 2202, 753, 7654, 3357, 689, 454, 1492, 2848, 28500, 3148, 5087, 540, 519, 3109, 4262, 454, 12024, 519, 9082, 540, 27859, 267, 519, 21072, 1185, 513, 1360, 2942, 10182, 4724, 3232, 1272, 454, 763, 1034, 4583, 540, 519, 803, 6549, 603, 545, 25481, 540, 2342, 568, 454, 18128, 2064, 6920, 602, 519, 5681, 518, 2103, 941, 711, 519, 1101, 9082, 538, 3504, 27859, 538, 11047, 1276, 607, 513, 1297, 540, 5681, 518, 1014, 6694, 543, 4739, 2474, 616, 711, 5681, 518, 1014, 538, 610, 6265, 563, 763, 670, 8636, 2572, 941, 454, 320, 543, 546, 454, 3080, 540, 519, 1906, 4775, 943, 21198, 338, 729, 0, 9199, 1424, 606, 3504, 14576, 1467, 540, 519, 5696, 514, 10937, 25286, 340, 514, 1004, 267, 713, 13009, 4092, 538, 16402, 321, 617, 718, 320, 2817, 5244, 568, 513, 7184, 1713, 1747, 585, 519, 1858, 779, 12465, 16971, 31654, 617, 2103, 267, 4171, 11937, 723, 5030, 593, 519, 29517, 3162, 11076, 585, 693, 2547, 476, 736, 267, 1822, 1296, 269, 3371, 779, 875, 547, 1118, 519, 1034, 540, 621, 563, 12648, 606, 16971, 28621, 3660, 3802, 454, 291, 3195, 532, 570, 13715, 610, 14576, 6050, 616, 3504, 16971, 1259, 325, 2130, 11507, 998, 519, 5251, 602, 3095, 13122, 2572, 267, 30060, 543, 4123, 4609, 267, 4195, 1216, 267, 1426, 2959, 267, 543, 824, 1713, 4609, 269, 901, 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 ]
[ 606, 21599, 1153, 1141, 1453, 1451, 741, 18577, 1893, 2770, 1836, 269, 5994, 11504, 513, 1153, 1141, 3388, 1107, 5049, 267, 3756, 267, 2984, 1107, 4523, 538, 513, 1893, 4625, 14542, 2943, 7184, 12082, 538, 1686, 543, 2245, 269, 1215, 3579, 1131, 602, 581, 31841, 275, 269, 6184, 17508, 585, 2413, 18563, 912, 5278, 2474, 1031, 538, 4948, 1272, 22132, 689, 1325, 12455, 638, 1014, 4654, 269, 8293, 1662, 267, 4779, 846, 267, 986, 764, 3019, 267, 1286, 756, 537, 267, 543, 13863, 332, 6064, 782, 2097, 689, 2806, 523, 13403, 267, 606, 1325, 12455, 638, 1014, 1893, 2899, 7839, 538, 27040, 3345, 3013, 269, 1635, 4974, 891, 4654, 267, 3173, 2744, 4030, 883, 2038, 1480, 11994, 543, 3347, 609, 18508, 543, 21426, 267, 3006, 11121, 5499, 3435, 585, 4207, 2591, 780, 276, 269, 18964, 2463, 543, 1620, 912, 3528, 3695, 6805, 4654, 267, 649, 3895, 4656, 540, 3309, 5380, 543, 12583, 11251, 1369, 891, 10409, 1949, 269, 4197, 2576, 3116, 781, 1893, 2488, 1350, 31663, 525, 883, 741, 2418, 267, 5389, 267, 543, 2081, 540, 2713, 269, 1924, 1985, 942, 596, 2743, 2576, 4171, 4282, 15320, 689, 16523, 267, 3314, 602, 4687, 2984, 543, 2833, 666, 6536, 6568, 543, 9322, 780, 1103, 3932, 267, 11362, 2620, 883, 519, 1325, 12455, 638, 1014, 1893, 1920, 10741, 9885, 547, 19825, 519, 5898, 543, 6988, 540, 6805, 2792, 2409, 269, 3414, 6313, 2262, 5250, 3157, 267, 32144, 687, 1063, 11031, 267, 11091, 3646, 267, 3444, 14426, 7506, 267, 543, 5009, 8994, 2463, 267, 649, 10625, 6106, 540, 2495, 6456, 9944, 2627, 23079, 269, 5664, 1153, 1053, 267, 1832, 8049, 8186, 1930, 547, 12423, 6909, 18125, 540, 23316, 1312, 2282, 543, 2484, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 289, 5802, 18943, 5441, 267, 681, 1446, 662, 912, 289, 5802, 18943, 5441, 3091, 26886, 4832, 6030, 13383, 585, 2852, 1053, 538, 6753, 1519, 519, 12144, 267, 5824, 3013, 267, 3162, 4000, 1299, 1082, 811, 269, 28210, 538, 681, 1446, 662, 267, 654, 820, 6019, 267, 3345, 10491, 543, 20483, 676, 562, 31106, 1296, 540, 1995, 538, 4881, 3872, 3292, 585, 5215, 540, 1762, 4079, 267, 16340, 18943, 5441, 10905, 519, 20923, 2609, 540, 23913, 1565, 267, 2757, 4928, 1565, 543, 3028, 1565, 609, 3486, 2951, 543, 2686, 5385, 547, 1683, 9058, 30295, 543, 1353, 13383, 3255, 269, 3776, 1034, 2442, 3292, 1331, 14498, 543, 5726, 267, 7286, 9443, 267, 1893, 1299, 2528, 3292, 267, 19069, 1299, 9205, 5718, 563, 11764, 1067, 15789, 538, 912, 11321, 710, 12754, 5004, 454, 18794, 721, 547, 1085, 18866, 4685, 543, 1353, 519, 12144, 779, 7286, 14425, 267, 2966, 547, 16102, 13155, 7286, 2200, 1247, 8195, 3850, 585, 741, 4264, 946, 543, 1489, 540, 2199, 11615, 269, 2991, 1079, 4374, 593, 519, 568, 331, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23515, 13493, 1315, 5678, 5530, 1315, 7087, 19932, 538, 519, 17113, 1315, 1325, 12455, 638, 1014, 5678, 7731, 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, 7705, 281, 19850, 7585, 267, 594, 4862, 596, 2811, 2469, 593, 513, 7552, 547, 513, 2462, 2749, 538, 519, 2136, 2276, 4166, 256, 2334, 4992, 3078, 256, 5620, 596, 2219, 827, 1018, 596, 1522, 798, 972, 2496, 7692, 281, 23010, 267, 594, 729, 3206, 827, 9683, 930, 4583, 21056, 543, 3843, 856, 2199, 1426, 269, 1809, 1250, 3158, 1767, 594, 1058, 849, 1451, 827, 4683, 9235, 269, 1548, 781, 602, 782, 827, 2496, 8334, 281, 4270, 267, 4683, 9235, 568, 950, 1004, 3643, 4872, 585, 16837, 610, 1870, 5301, 269, 1358, 2356, 2263, 2442, 18845, 267, 2119, 1007, 3536, 267, 543, 1995, 519, 2528, 540, 519, 1747, 789, 2811, 9683, 269, 898, 781, 1271, 547, 1174, 875, 547, 13789, 538, 891, 5468, 865, 3025, 666, 2972, 741, 942, 780, 7692, 281, 7937, 267, 899, 1739, 3652, 543, 1373, 16614, 2496, 8334, 281, 22549, 256, 1280, 1383, 267, 952, 596, 2811, 9683, 513, 9754, 267, 596, 12582, 1405, 5905, 519, 13742, 1317, 789, 1223, 1205, 8697, 269, 1656, 950, 596, 2811, 6972, 1472, 519, 2749, 267, 596, 1058, 2628, 3007, 547, 6808, 6786, 543, 3444, 19789, 802, 547, 3251, 2922, 780, 7692, 281, 20944, 621, 256, 1924, 267, 621, 781, 827, 1210, 1455, 2631, 538, 1114, 4025, 780, 8334, 281, 8786, 267, 4010, 256, 3767, 267, 1577, 803, 2285, 596, 606, 1383, 269, 5994, 596, 2811, 538, 513, 22125, 1016, 3118, 6728, 269, 1548, 1131, 596, 991, 547, 1832, 538, 2247, 2496, 7692, 281, 670, 7825, 1862, 296, 7058, 594, 1058, 1796, 547, 519, 1318, 593, 15583, 2209, 865, 1866, 666, 3802, 2250, 803, 593, 519, 2451, 269, 1656, 594, 1058, 1118, 2386, 547, 3180, 5196, 1688, 571, 2812, 547, 2057, 9991, 780, 8334, 281, 4279, 2816, 267, 7585, 256, 1411, 2811, 20414, 593, 3533, 269, 5457, 267, 4683, 9235, 3322, 3695, 1007, 5054, 267, 855, 621, 781, 1898, 547, 581, 3222, 540, 707, 10450, 543, 1521, 1346, 5624, 609, 1416, 269, 901, 1259, 267, 3025, 666, 4324, 689, 519, 2833, 6035, 676, 519, 2749, 780, 7692, 281, 8729, 585, 7713, 621, 547, 803, 267, 7705, 256, 594, 1745, 811, 5423, 1631, 269, 594, 666, 1405, 7227, 547, 1376, 4058, 1250, 7552, 2439, 8334, 281, 3143, 1966, 267, 7585, 256, 5620, 1187, 267, 543, 3314, 547, 2259, 1434, 4683, 9235, 6208, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 27324, 1215, 621, 1568, 454, 1692, 1454, 786, 707, 12031, 1942, 888, 5970, 606, 4274, 4081, 2328, 707, 12031, 1957, 2336, 7476, 19957, 1888, 2093, 543, 513, 12031, 1544, 585, 1175, 11278, 3393, 269, 876, 454, 24576, 3584, 543, 1544, 454, 7476, 476, 272, 1863, 1888, 538, 707, 1858, 540, 1353, 609, 2832, 543, 24134, 454, 8133, 594, 1616, 519, 1863, 1888, 454, 14532, 19837, 10488, 11762, 454, 13775, 676, 24553, 3400, 742, 514, 693, 5130, 476, 280, 628, 267, 476, 1708, 274, 2073, 4860, 2213, 2201, 5239, 476, 276, 267, 476, 1708, 274, 454, 24400, 519, 1034, 3617, 1888, 585, 513, 1686, 12031, 666, 581, 16602, 269, 6969, 8939, 513, 1888, 267, 621, 568, 16122, 547, 723, 606, 538, 3829, 1702, 540, 519, 3140, 2621, 610, 9259, 596, 6999, 547, 6218, 269, 13159, 8223, 540, 513, 1888, 1858, 568, 2556, 1354, 596, 666, 979, 827, 519, 4305, 540, 11264, 707, 12031, 563, 2414, 948, 596, 1205, 3323, 609, 23730, 585, 1686, 1888, 2093, 267, 649, 723, 2919, 513, 1592, 540, 519, 5767, 3584, 602, 666, 581, 1031, 585, 1603, 707, 1686, 12031, 563, 4942, 291, 11727, 5830, 540, 938, 2319, 723, 2919, 891, 3584, 267, 865, 596, 666, 3972, 547, 946, 891, 3584, 585, 1951, 325, 3010, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 31413, 21094, 257, 607, 851, 540, 834, 307, 30728, 1315, 2136, 2276, 1315, 4937, 2580, 6098, 693, 1453, 547, 4001, 873, 1455, 2631, 269, 634, 5188, 1058, 4125, 1079, 3197, 267, 7705, 543, 7585, 267, 7234, 4948, 3871, 543, 1818, 3664, 1759, 593, 1455, 2631, 269, 2422, 2241, 2474, 543, 513, 2067, 267, 2502, 3159, 269, 24372, 2521, 547, 281, 8528, 268, 19308, 2055, 543, 4267, 602, 12172, 519, 1888, 543, 1683, 4052, 1806, 543, 3137, 540, 1946, 1919, 4755, 267, 2014, 7146, 13716, 3347, 267, 543, 875, 1004, 3335, 2170, 538, 891, 3871, 269, 3097, 268, 20864, 7653, 602, 2154, 1620, 15749, 8100, 543, 13865, 10881, 547, 8207, 13509, 269, 3097, 2710, 711, 2446, 519, 1357, 1349, 543, 11716, 3877, 13061, 547, 519, 1888, 269, 0, 6092, 5149, 281, 634, 27411, 16305, 14520, 10266, 1562, 543, 519, 4886, 540, 7111, 1977, 3203, 538, 3013, 692, 1103, 519, 1158, 540, 1977, 1148, 267, 519, 27411, 16305, 14520, 26719, 3180, 513, 2189, 1747, 607, 930, 540, 519, 1034, 9565, 7111, 1977, 5159, 540, 519, 476, 736, 628, 2540, 269, 901, 1576, 1770, 786, 5490, 883, 519, 2729, 267, 1568, 267, 543, 1764, 540, 891, 3670, 16805, 5159, 267, 945, 7153, 689, 519, 27411, 16305, 14316, 540, 20274, 538, 519, 476, 4572, 271, 338, 543, 476, 4350, 271, 338, 269, 1635, 3695, 741, 4282, 267, 7499, 6163, 267, 543, 7418, 547, 1312, 7111, 1977, 543, 1977, 1148, 267, 649, 786, 2744, 513, 4514, 7071, 585, 519, 3638, 2686, 6561, 789, 2099, 543, 519, 11972, 9371, 789, 723, 2451, 3297, 780, 296, 269, 17461, 540, 519, 27411, 16305, 14520, 10266, 1562, 692, 763, 27411, 16305, 14520, 267, 849, 1634, 607, 519, 27411, 16305, 12866, 630, 1492, 15795, 4759, 267, 6276, 589, 1276, 11672, 267, 8678, 2663, 1070, 941, 513, 1895, 540, 7111, 1977, 5159, 945, 6594, 896, 30546, 15243, 5459, 693, 519, 2160, 540, 20274, 781, 3427, 540, 3203, 1282, 519, 476, 4572, 271, 338, 543, 476, 4350, 271, 338, 269, 1290, 1440, 2213, 540, 1975, 27247, 1306, 1695, 267, 10793, 670, 5803, 1695, 267, 15537, 631, 641, 2100, 267, 10753, 529, 3911, 758, 344, 267, 6276, 589, 1276, 11672, 267, 543, 3933, 19172, 17578, 520, 5803, 267, 519, 27411, 16305, 14520, 2968, 23806, 538, 8744, 2757, 7111, 1977, 1148, 3029, 883, 13416, 2413, 1143, 269, 4256, 960, 729, 6353, 676, 922, 16471, 540, 6805, 13513, 267, 13299, 267, 543, 9423, 2553, 609, 4207, 3864, 7206, 6163, 971, 607, 10699, 1143, 543, 5080, 9418, 1143, 780, 2862, 269, 7216, 5020, 543, 4065, 692, 26212, 547, 741, 6101, 2069, 693, 519, 2160, 540, 20274, 267, 1082, 540, 519, 27411, 16305, 14520, 1185, 2907, 1044, 6534, 547, 1585, 3029, 540, 3308, 4082, 1369, 741, 2146, 269, 27884, 267, 24432, 1433, 12400, 267, 12404, 10367, 267, 9133, 328, 6272, 267, 543, 3182, 4919, 5638, 782, 5129, 1713, 5107, 538, 8497, 543, 4687, 17174, 1686, 543, 5389, 269, 2060, 519, 12625, 540, 3043, 13896, 543, 5313, 4507, 6322, 693, 15849, 559, 908, 7111, 4892, 883, 5375, 2486, 267, 2705, 267, 891, 2853, 3459, 547, 530, 2033, 269, 20876, 519, 2956, 540, 8497, 741, 2528, 267, 519, 27411, 16305, 14520, 17947, 1007, 23447, 543, 2409, 6026, 676, 15243, 5459, 1247, 4509, 2178, 4296, 547, 741, 5072, 780, 7656, 269, 3203, 2065, 26505, 543, 9828, 692, 10376, 7376, 538, 519, 27411, 16305, 14520, 2919, 741, 1378, 3982, 2511, 267, 4352, 1455, 4798, 543, 7506, 666, 581, 4767, 2429, 741, 1560, 540, 960, 269, 3509, 23163, 1216, 3712, 832, 267, 799, 4847, 873, 547, 1711, 7524, 267, 6037, 1075, 550, 4778, 24188, 540, 26111, 4095, 24432, 1148, 269, 11524, 4603, 539, 609, 3282, 5862, 267, 6721, 811, 1257, 3293, 543, 32630, 4773, 602, 10630, 2609, 540, 10699, 1143, 543, 824, 2413, 626, 5322, 269, 2368, 8037, 1568, 676, 2818, 540, 519, 27411, 16305, 14520, 1331, 1384, 265, 1975, 27247, 1306, 1695, 781, 834, 289, 4428, 14900, 15391, 257, 630, 4350, 276, 2567, 589, 11495, 26841, 540, 513, 10889, 14900, 6968, 21235, 538, 12667, 24698, 267, 15386, 1306, 1695, 781, 4487, 995, 946, 540, 2942, 2230, 543, 8766, 626, 5888, 563, 265, 10793, 670, 5803, 1695, 781, 834, 31738, 529, 676, 9855, 2775, 257, 630, 3707, 273, 2567, 1323, 11626, 27248, 6429, 25139, 676, 513, 2407, 7599, 267, 10223, 670, 5803, 1695, 781, 13007, 585, 13830, 519, 5898, 543, 694, 1066, 640, 540, 2470, 563, 265, 15537, 631, 641, 2100, 781, 834, 298, 1190, 2782, 19144, 257, 630, 4572, 279, 2567, 2290, 540, 1010, 9998, 1568, 267, 713, 4062, 9727, 631, 641, 2100, 781, 5499, 1935, 547, 6220, 2757, 918, 1190, 12835, 2762, 1369, 513, 2413, 626, 5943, 563, 265, 10753, 529, 3911, 758, 344, 781, 834, 294, 20071, 29892, 11831, 257, 630, 4350, 277, 2567, 3493, 1112, 532, 513, 1762, 8004, 7722, 538, 513, 2442, 2250, 830, 267, 3911, 758, 344, 781, 10347, 5905, 543, 2571, 2681, 29984, 7866, 1200, 25505, 585, 9446, 532, 4948, 1272, 563, 265, 6276, 589, 1276, 11672, 781, 834, 8469, 21778, 2494, 257, 630, 3707, 273, 2567, 589, 3532, 6041, 540, 513, 26060, 4137, 1369, 918, 1190, 2486, 267, 589, 1276, 11672, 781, 12050, 3515, 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 ]
[ 4118, 270, 613, 5852, 270, 10520, 845, 725, 270, 3419, 573, 20675, 845, 725, 10784, 549, 27160, 270, 704, 14127, 20675, 331, 725, 6823, 7308, 18396, 15453, 13807, 2033, 286, 583, 332, 5334, 1830, 284, 312, 307, 261, 583, 332, 318, 4364, 1756, 284, 5719, 692, 1892, 476, 6187, 281, 2918, 692, 2162, 634, 4473, 543, 2887, 540, 519, 12670, 9931, 910, 23951, 2784, 670, 269, 808, 4673, 20415, 692, 31696, 5784, 1315, 476, 271, 15055, 910, 3773, 692, 13425, 856, 938, 4793, 516, 517, 2985, 281, 4179, 2517, 4178, 4877, 11128, 517, 2593, 270, 1540, 539, 7348, 2407, 3992, 281, 4179, 2517, 539, 269, 1540, 2593, 270, 1652, 976, 270, 1492, 8573, 1047, 7146, 1922, 718, 6361, 7308, 268, 828, 4802, 2914, 718, 10275, 517, 2784, 3620, 18191, 4673, 20415, 2201, 4864, 476, 1724, 267, 476, 3422, 272, 267, 4070, 4600, 3459, 751, 2130, 909, 10754, 543, 16245, 532, 7496, 538, 12670, 692, 1892, 476, 6187, 281, 5400, 692, 2162, 1548, 1772, 24664, 2496, 10711, 5784, 1315, 476, 271, 15055, 910, 3773, 692, 12648, 519, 476, 1001, 278, 32282, 7913, 2289, 3930, 5619, 256, 4179, 2517, 4178, 4732, 584, 557, 2096, 517, 4486, 2593, 29265, 9706, 2125, 1091, 1001, 278, 7602, 497, 2859, 9623, 543, 2959, 2630, 7602, 497, 1772, 9939, 1483, 286, 898, 1522, 1745, 899, 513, 25386, 3196, 8913, 21794, 721, 4724, 1434, 610, 3983, 19539, 267, 855, 621, 7140, 856, 9939, 568, 2731, 1141, 5506, 678, 692, 1892, 476, 6734, 281, 5392, 692, 2162, 634, 27076, 8065, 11788, 910, 7089, 874, 850, 692, 8687, 5784, 1315, 476, 271, 15055, 910, 3773, 692, 288, 6305, 1297, 834, 326, 3424, 257, 689, 513, 22697, 6028, 1010, 2852, 269, 2859, 6402, 1299, 8631, 538, 2407, 6609, 2630, 7602, 497, 16378, 497, 16378, 497, 3171, 520, 1005, 570, 611, 20076, 15480, 1221, 320, 269, 2859, 570, 611, 20076, 281, 5291, 2517, 4226, 269, 569, 14121, 611, 20076, 24449, 1749, 7905, 21025, 2465, 6941, 281, 834, 7197, 540, 519, 9704, 540, 533, 941, 6378, 865, 602, 281, 630, 328, 692, 1892, 476, 6021, 281, 3953, 692, 2162, 654, 3994, 10606, 692, 14093, 5784, 1315, 476, 272, 15055, 910, 3773, 692, 2908, 6049, 945, 771, 286, 24576, 1250, 1433, 4179, 2517, 1492, 15957, 272, 338, 719, 2593, 270, 3712, 27928, 270, 15957, 268, 272, 338, 13050, 3613, 648, 9706, 20094, 270, 1492, 268, 15957, 268, 272, 338, 13050, 26247, 5991, 517, 1606, 11220, 1790, 1653, 3724, 2275, 4878, 329, 871, 572, 696, 823, 6614, 630, 12552, 585, 3257, 3515, 14386, 4179, 2517, 4178, 28938, 2593, 270, 12528, 10768, 871, 572, 696, 823, 6614, 21206, 5159, 281, 27538, 2775, 769, 9366, 692, 1892, 476, 6187, 281, 5379, 692, 2162, 1215, 1677, 8571, 589, 595, 4599, 630, 1721, 8479, 20551, 2020, 22213, 5784, 1315, 476, 271, 15055, 910, 3773, 692, 2080, 781, 513, 1187, 835, 547, 798, 609, 707, 2731, 1762, 5159, 256, 1215, 547, 2721, 513, 26029, 3096, 2241, 5546, 543, 3515, 547, 1118, 621, 1187, 585, 873, 269, 661, 7246, 6579, 589, 11682, 5588, 302, 5508, 22400, 26353, 281, 1250, 691, 287, 691, 325, 1251, 1749, 327, 889, 2593, 10790, 6579, 2475, 22400, 26353, 281, 3203, 585, 8866, 16735, 623, 20166, 269, 13340, 476, 280, 2767, 20167, 9586, 717, 17311, 267, 29031, 476, 279, 2412, 7830, 590, 18510, 692, 1892, 476, 6734, 281, 1839, 15019, 692, 2162, 4208, 1684, 17268, 570, 2830, 4256, 1261, 6758, 2496, 278, 5392, 5784, 1315, 476, 272, 15055, 910, 3773, 692, 3674, 713, 32620, 2623, 12082, 538, 10444, 13766, 610, 3483, 995, 575, 4382, 1637, 286, 1284, 2263, 1018, 949, 581, 519, 2759, 652, 1382, 2479, 269, 6258, 811, 693, 1215, 1805, 4428, 17582, 2593, 281, 5291, 2517, 534, 7769, 269, 6011, 560, 4428, 4103, 2593, 9706, 1115, 1862, 9523, 593, 9365, 281, 9523, 593, 12108, 281, 4427, 18285, 281, 554, 692, 1892, 476, 6734, 281, 4649, 692, 2162, 19577, 2986, 12472, 2334, 1411, 2052, 4855, 2201, 2659, 10610, 692, 2412, 279, 5784, 1315, 476, 272, 15055, 910, 3773, 692, 2791, 723, 707, 3158, 781, 12837, 267, 707, 19033, 781, 4064, 267, 543, 519, 1274, 6091, 540, 513, 10222, 26226, 25850, 269, 4427, 18285, 547, 938, 8756, 256, 5291, 2517, 2998, 334, 3052, 331, 270, 271, 2125, 288, 329, 302, 10783, 344, 26690, 2600, 540, 4892, 2161, 602, 3425, 941, 2813, 538, 741, 1459, 1106, 1369, 519, 2250, 476, 1015, 267, 1822, 1296, 2443, 513, 2600, 692, 8722, 25733, 454, 1892, 476, 6860, 281, 5400, 692, 2162, 634, 4856, 7431, 6356, 281, 590, 7417, 621, 256, 1923, 9400, 30623, 1180, 781, 769, 6665, 1043, 2622, 338, 1923, 3047, 6997, 692, 23310, 5784, 1315, 476, 271, 15055, 910, 3773, 692, 5719, 987, 12413, 3539, 19666, 7816, 5443, 538, 519, 2136, 2276, 946, 22292, 12514, 547, 3343, 856, 606, 15865, 3196, 602, 30443, 802, 31305, 593, 1379, 3515, 269, 4427, 18285, 281, 5291, 2517, 4226, 269, 569, 270, 29771, 2414, 24618, 24248, 7454, 540, 3047, 6997, 281, 5291, 2517, 4226, 269, 569, 270, 24618, 24248, 11771, 10904, 634, 24930, 3657, 769, 692, 1892, 476, 4905, 281, 876, 692, 2162, 570, 976, 540, 10785, 666, 1489, 1272, 269, 3223, 16980, 2107, 516, 787, 10001, 692, 4366, 274, 5784, 1315, 476, 271, 15055, 910, 3773, 692, 5472, 540, 519, 3223, 16980, 3818, 13807, 534, 564, 1949, 630, 10204, 276, 10785, 538, 476, 277, 5952, 1949, 607, 540, 476, 2190, 5437, 476, 1001, 276, 264, 593, 519, 1482, 4336, 607, 519, 9891, 3590, 630, 1492, 546, 14414, 3515, 1040, 634, 2450, 540, 519, 25057, 616, 782, 547, 4336, 267, 855, 519, 2450, 540, 519, 10785, 616, 711, 269, 1280, 1383, 267, 18347, 568, 957, 692, 8722, 25733, 454, 1892, 476, 6349, 281, 6246, 692, 2162, 590, 525, 877, 9335, 281, 700, 6511, 1261, 1228, 344, 2337, 25371, 4039, 1314, 692, 27840, 5784, 1315, 476, 271, 15055, 910, 3773, 692, 300, 584, 2001, 729, 9277, 547, 2995, 721, 827, 519, 2262, 6001, 267, 855, 646, 814, 3443, 17673, 543, 646, 666, 1405, 3314, 1010, 3515, 269, 1261, 1175, 666, 1405, 6001, 269, 18641, 267, 700, 6511, 1261, 1228, 344, 568, 1934, 547, 948, 1864, 9350, 1524, 543, 4137, 621, 856, 269, 4427, 18285, 547, 519, 590, 525, 877, 9335, 19305, 1934, 281, 5291, 2517, 2346, 692, 1892, 476, 6734, 281, 4649, 692, 2162, 19577, 540, 4720, 602, 596, 666, 1265, 593, 707, 1560, 692, 14138, 5784, 1315, 476, 271, 15055, 910, 3773, 692, 2791, 723, 707, 3158, 781, 12837, 267, 707, 19033, 781, 4064, 267, 543, 519, 1274, 6091, 540, 513, 10222, 26226, 25850, 269, 10783, 344, 26690, 2600, 540, 4892, 2161, 602, 3425, 941, 2813, 538, 741, 1459, 1106, 1369, 519, 2250, 476, 1015, 267, 1822, 1296, 2443, 513, 6871, 602, 18387, 1405, 4957, 1454, 2094, 476, 2735, 273, 10484, 1892, 476, 6734, 281, 5881, 692, 2162, 634, 3406, 585, 513, 10930, 18151, 10936, 692, 28590, 5784, 1315, 476, 271, 15055, 910, 3773, 692, 306, 29195, 267, 14949, 267, 1732, 23337, 2454, 5521, 28084, 550, 568, 4947, 7064, 547, 2487, 1382, 689, 17459, 23117, 728, 602, 13071, 3173, 917, 1018, 513, 17079, 779, 9224, 6487, 269, 4427, 18285, 256, 5291, 2517, 4226, 269, 569, 270, 272, 325, 308, 20062, 344, 312, 1215, 1684, 3776, 645, 3672, 674, 697, 5510, 667, 836, 2730, 11906, 338, 286, 4179, 2517, 344, 719, 340, 269, 2041, 270, 279, 692, 1892, 476, 1015, 281, 4343, 692, 2162, 8534, 29714, 1656, 29358, 654, 720, 281, 9197, 1662, 6092, 13188, 1948, 2764, 692, 26493, 5784, 1315, 476, 271, 15055, 910, 3773, 692, 1692, 1454, 1058, 596, 1205, 6976, 585, 707, 2816, 286, 4270, 267, 602, 5673, 593, 513, 2603, 540, 2188, 269, 2659, 5578, 1305, 267, 519, 3747, 585, 519, 1983, 596, 723, 267, 543, 1018, 824, 1004, 616, 3478, 6976, 1472, 596, 782, 3815, 538, 269, 769, 513, 2603, 540, 2081, 267, 4074, 6990, 960, 593, 3761, 543, 1629, 320, 692, 1892, 476, 4905, 281, 7906, 692, 2162, 634, 3689, 7641, 338, 21518, 20996, 2439, 3374, 5784, 1315, 476, 271, 15055, 910, 3773, 692, 2690, 519, 2930, 5461, 281, 6271, 2110, 5311, 6029, 1250, 476, 3953, 11060, 751, 4582, 529, 528, 538, 2962, 269, 634, 22256, 568, 519, 546, 4314, 17076, 645, 13831, 700, 1513, 523, 13465, 1412, 1222, 9292, 2001, 585, 2025, 16862, 262, 538, 827, 476, 3422, 271, 269, 645, 13831, 5747, 538, 476, 1960, 274, 269, 11088, 713, 729, 2083, 4364, 1055, 5496, 1210, 513, 12312, 692, 1892, 476, 4962, 281, 6187, 692, 2162, 634, 9420, 1236, 831, 945, 4503, 1010, 5075, 267, 855, 711, 1010, 6612, 269, 1923, 4934, 540, 31108, 530, 270, 8355, 2494, 322, 2088, 692, 4375, 278, 5784, 1315, 476, 271, 15055, 910, 3773, 692, 7093, 6768, 547, 581, 27086, 267, 607, 649, 2743, 909, 609, 513, 1236, 831, 945, 4503, 1010, 5075, 267, 855, 2760, 1010, 6612, 269, 5994, 602, 835, 1554, 267, 693, 513, 1762, 2085, 267, 596, 2811, 5143, 602, 1945, 729, 4636, 609, 707, 5075, 269, 6145, 513, 5198, 1996, 942, 267, 1142, 1554, 707, 5075, 14016, 919, 513, 2370, 692, 1892, 476, 6860, 281, 2918, 15019, 692, 2162, 7412, 681, 11107, 910, 2142, 29348, 781, 476, 276, 628, 692, 7176, 280, 5784, 1315, 476, 273, 15055, 910, 3773, 692, 296, 6170, 936, 476, 274, 3275, 15222, 1944, 513, 1899, 31115, 3950, 547, 2142, 29348, 781, 476, 276, 628, 5373, 3388, 676, 1688, 269, 1703, 568, 1100, 14318, 8345, 1934, 269, 7102, 942, 513, 1915, 3762, 519, 5496, 789, 616, 1373, 9859, 676, 31305, 3515, 547, 519, 1985, 4087, 269, 901, 568, 711, 555, 692, 1892, 476, 1321, 281, 1789, 692, 2162, 15536, 9798, 281, 9197, 1662, 6092, 8950, 3163, 1948, 4029, 692, 27183, 5784, 1315, 476, 271, 15055, 910, 3773, 692, 24426, 828, 9798, 568, 513, 1305, 540, 2553, 547, 2149, 519, 9658, 1097, 267, 8699, 267, 543, 8244, 540, 2780, 1949, 543, 1239, 1996, 6937, 269, 769, 2221, 779, 12558, 267, 649, 2461, 2469, 547, 10002, 871, 891, 1614, 3853, 543, 2911, 998, 930, 2994, 649, 946, 899, 18538, 267, 8790, 692, 1892, 476, 1015, 281, 1015, 692, 2162, 7305, 9008, 10632, 692, 11277, 5784, 1315, 476, 271, 15055, 910, 3773, 692, 12507, 30496, 267, 8297, 1456, 17052, 2094, 476, 4350, 276, 13425, 856, 1250, 1007, 3556, 3014, 1412, 4692, 1405, 595, 2255, 16452, 262, 4179, 2517, 4178, 21993, 1157, 560, 6621, 2593, 24579, 915, 338, 270, 279, 736, 28873, 4281, 274, 11305, 656, 2275, 2255, 3620, 14019, 286, 10915, 284, 1091, 341, 332, 329, 335, 293, 12188, 2060, 12226, 630, 12552, 585, 3257, 3515, 264, 4179, 2517, 4178, 28938, 2593, 270, 577, 14128, 270, 10813, 724, 273, 336, 271, 326, 277, 296, 280, 342, 18449, 329, 291, 692, 1892, 476, 1321, 281, 1556, 692, 2162, 4208, 670, 13273, 1405, 1284, 5853, 1325, 1329, 5020, 286, 1923, 6611, 5384, 1923, 32282, 7913, 2289, 3930, 692, 5325, 275, 5784, 1315, 476, 272, 15055, 910, 3773, 692, 5353, 2114, 899, 1325, 16772, 15562, 5495, 17162, 2142, 4934, 1703, 256, 570, 11548, 693, 721, 256, 7711, 335, 321, 1087, 335, 659, 8135, 9365, 281, 3068, 1504, 2593, 9706, 321, 1087, 335, 659, 8135, 19478, 721, 256, 533, 321, 1087, 335, 659, 8135, 1496, 520, 316, 575, 21166, 1496, 25346, 316, 635, 19410, 593, 23749, 281, 5291, 2517, 4178, 269, 1042, 9016, 2593, 29265, 9706, 321, 1087, 335, 659, 8135, 2060, 6634, 540, 3047, 899, 10785, 1472, 3141, 899, 521, 692, 1892, 476, 5400, 281, 3451, 692, 2162, 634, 1133, 639, 783, 19725, 540, 519, 22963, 11866, 692, 31973, 5784, 1315, 476, 273, 15055, 910, 3773, 692, 295, 1177, 2967, 328, 568, 1634, 585, 922, 22747, 267, 855, 1034, 22747, 593, 3618, 2291, 2059, 29684, 6676, 3515, 269, 16127, 1281, 711, 256, 1548, 3123, 16127, 547, 1106, 267, 543, 875, 568, 621, 1644, 547, 519, 9814, 540, 513, 6419, 3046, 3009, 2066, 519, 7414, 7909, 286, 21118, 667, 1014, 3534, 595, 1077, 333, 10004, 1540, 692, 1892, 476, 6349, 281, 7906, 692, 2162, 901, 18230, 23392, 568, 18738, 606, 25076, 692, 12553, 5784, 1315, 476, 271, 15055, 910, 3773, 692, 4263, 4210, 12688, 4133, 918, 592, 332, 14653, 601, 717, 1941, 1120, 7806, 267, 14538, 3207, 1851, 519, 10239, 543, 896, 519, 6801, 269, 634, 10661, 568, 1753, 547, 606, 2616, 2218, 602, 814, 6537, 19936, 689, 1472, 519, 1158, 269, 634, 3668, 540, 1769, 5533, 543, 3819, 2011, 1711, 519, 6099, 2175, 692, 1892, 476, 6021 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3488, 270, 5073, 4848, 28432, 912, 15235, 453, 15965, 514, 815, 7003, 263, 1173, 541, 264, 1341, 476, 272, 454, 4848, 14851, 1617, 514, 2999, 2820, 514, 912, 15235, 16596, 18287, 263, 1173, 541, 11468, 20123, 514, 910, 476, 272, 316, 1341, 1496, 20123, 263, 27785, 263, 1173, 541, 314, 20123, 514, 910, 476, 272, 25818, 1612, 572, 263, 1173, 541, 314, 20123, 514, 1341, 476, 272, 316, 4297, 316, 1341, 2415, 541, 314, 20123, 514, 1341, 476, 273, 281, 7481, 4848, 453, 19197, 1617, 514, 3436, 2820, 514, 912, 15235, 16596, 18287, 263, 1173, 541, 11468, 15965, 514, 910, 476, 272, 316, 1341, 1496, 15965, 263, 27785, 263, 1173, 541, 314, 15965, 514, 910, 476, 272, 25818, 1612, 572, 263, 1173, 541, 314, 15965, 514, 1341, 476, 272, 316, 4297, 316, 1341, 2415, 541, 314, 15965, 514, 1341, 476, 273, 281, 7481, 453, 453, 19197, 25962, 538, 2415, 541, 610, 25023, 538, 2415, 541, 912, 4848, 14851, 25962, 538, 2415, 541, 912, 15235, 453, 5417, 514, 815, 2415, 541, 28827, 3488, 266, 5073, 4848, 28432, 912, 15235, 453, 5417, 514, 815, 7003, 263, 1173, 541, 264, 1341, 476, 272, 454, 4848, 14851, 25023, 538, 2415, 541, 912, 15235, 453, 11357, 514, 815, 2415, 541, 28827, 3488, 268, 5073, 4848, 28432, 912, 15235, 453, 11357, 514, 815, 7003, 263, 1173, 541, 264, 1341, 476, 272, 454, 4848, 14851, 1039, 514, 2999, 1016, 514, 912, 15235, 16596, 18287, 263, 1173, 541, 11468, 5417, 514, 910, 476, 272, 316, 1341, 1496, 5417, 263, 27785, 263, 1173, 541, 314, 5417, 514, 910, 476, 272, 25818, 1612, 572, 263, 1173, 541, 314, 5417, 514, 1341, 476, 272, 316, 4297, 316, 1341, 2415, 541, 314, 5417, 514, 1341, 476, 273, 281, 7481, 4848, 453, 19197, 1039, 514, 3436, 1016, 514, 912, 15235, 16596, 18287, 263, 1173, 541, 11468, 11357, 514, 910, 476, 272, 316, 1341, 1496, 11357, 339, 263, 27785, 263, 1173, 541, 314, 11357, 514, 910, 476, 272, 25818, 1612, 572, 263, 1173, 541, 314, 11357, 514, 1341, 476, 272, 316, 4297, 316, 1341, 2415, 541, 314, 11357, 514, 1341, 476, 273, 281, 7481, 453, 453, 19197, 1412, 285, 262, 538, 2415, 541, 912, 4848, 453, 935, 514, 815, 2415, 541, 28827, 3488, 285, 5073, 4848, 14851, 568, 27349, 263, 1173, 541, 314, 935, 514, 910, 476, 272, 3910, 1193, 2187, 15235, 453, 1173, 541, 314, 935, 514, 910, 476, 272, 316, 815, 1612, 572, 263, 1173, 541, 314, 935, 514, 910, 476, 272, 7481, 4848, 14851, 2415, 541, 314, 935, 514, 910, 476, 272, 4940, 28493, 2652, 1612, 572, 263, 1173, 541, 314, 935, 514, 1341, 476, 272, 316, 1040, 28493, 912, 15235, 16596, 12763, 263, 7407, 815, 2415, 541, 314, 935, 514, 910, 476, 272, 4940, 7407, 267, 4559, 815, 2415, 541, 314, 935, 514, 910, 476, 272, 4940, 28493, 267, 7006, 22780, 2399, 815, 1612, 572, 263, 1173, 541, 314, 935, 514, 1341, 476, 272, 316, 1040, 7407, 994, 4848, 28432, 912, 15235, 453, 325, 9229, 4590, 15235, 13537, 3488, 291, 574, 3290, 25314, 2255, 17210, 337, 7342, 815, 6936, 454, 2745, 3488, 291, 574, 9773, 322, 642, 271, 269, 271, 269, 272, 5073, 6112, 4881, 912, 453, 684, 325, 841, 4590, 453, 1173, 815, 3403, 3488, 285, 30386, 14851, 2415, 2652, 1412, 1410, 527, 262, 610, 2415, 2652, 1412, 10181, 262, 610, 2415, 2652, 1412, 17380, 262, 610, 2415, 2652, 1412, 754, 12466, 453, 453, 337, 7342, 815, 8771, 454, 28432, 912, 453, 14851, 1412, 285, 262, 538, 2415, 912, 4848, 453, 4134, 335, 1173, 815, 1412, 7055, 4848, 22610, 7006, 3726, 655, 538, 2415, 314, 6352, 263, 1173, 264, 910, 2415, 11468, 18737, 272, 4940, 8161, 3488, 285, 262, 2567, 14158, 15235, 453, 4134, 335, 1173, 6834, 7006, 3726, 655, 454, 4848, 453, 341, 815, 18287, 263, 3591, 5902, 263, 1173, 26895, 8971, 263, 4134, 335, 1173, 994, 453, 28432, 912, 4848, 453, 341, 815, 18287, 263, 3591, 5902, 263, 1173, 26895, 8971, 4590, 453, 14851, 711, 3111, 912, 4848, 13537, 17635, 994, 453, 453, 258, 21955, 912, 4848, 453, 28744, 3488, 2304, 5470, 7018, 5073, 0, 12163, 301, 558, 3691, 281, 7358, 30685, 525, 18258, 454, 11917, 27826, 16343, 281, 7464, 714, 541, 1766, 30685, 525, 2596, 553, 598, 476, 273, 6746, 657, 267, 4086, 541, 17485, 6746, 657, 586, 733, 541, 598, 1965, 657, 6746, 657, 454, 8505, 528, 281, 2961, 321, 1690, 531, 10548, 657, 20844, 20908, 14243, 338, 454, 293, 3663, 320, 281, 476, 3066, 270, 6187, 270, 866, 454, 20701, 258, 674, 4532, 542, 16948, 2040, 541, 454, 3698, 2040, 320, 16325, 272, 267, 1003, 273, 2187, 825, 2132, 1003, 272, 1341, 1003, 273, 692, 258, 674, 4532, 542, 16948, 1964, 541, 454, 3698, 1964, 320, 16325, 272, 267, 1003, 273, 2187, 825, 2132, 1003, 272, 910, 1003, 273, 692, 258, 674, 4532, 542, 16948, 2113, 16210, 2364, 541, 454, 3698, 1617, 16325, 272, 267, 1003, 273, 2187, 825, 2132, 1003, 272, 2608, 1003, 273, 692, 258, 674, 4532, 542, 16948, 3900, 597, 454, 3698, 2820, 328, 16325, 272, 267, 1003, 273, 2187, 825, 2132, 1003, 272, 1315, 1003, 273, 692, 258, 8342, 322, 542, 16948, 4086, 541, 454, 3698, 4086, 320, 16325, 272, 267, 1003, 273, 2187, 825, 952, 630, 11133, 272, 3436, 1003, 273, 2187, 1038, 1820, 3488, 14976, 25650, 1965, 1003, 272, 281, 3299, 1003, 272, 994, 825, 8640, 630, 11133, 272, 2999, 1003, 273, 2187, 1038, 1820, 3488, 14976, 25650, 1965, 1003, 273, 281, 3299, 1003, 273, 994, 825, 3116, 912, 1038, 1820, 3488, 19617, 272, 586, 1003, 273, 5067, 28075, 783, 525, 3299, 1003, 272, 267, 22207, 3299, 1003, 273, 2020, 258, 8342, 322, 542, 16948, 733, 541, 632, 1003, 272, 513, 1003, 273, 454, 3698, 24140, 31980, 16325, 272, 267, 1003, 273, 2187, 825, 585, 1775, 538, 2039, 16325, 272, 267, 1003, 273, 1341, 476, 272, 2187, 1038, 1820, 3488, 1998, 528, 632, 1775, 281, 3299, 1775, 2020, 258, 8342, 322, 542, 9030, 454, 3698, 1292, 10031, 825, 524, 545, 5979, 815, 6936, 454, 825, 1247, 6262, 545, 5979, 2652, 6936, 17107, 1038, 562, 272, 815, 703, 9272, 3488, 22958, 518, 1003, 3266, 281, 1412, 4917, 1038, 562, 273, 815, 703, 9272, 3488, 306, 1122, 1495, 334, 1003, 3266, 281, 1412, 11723, 1038, 1948, 7358, 30685, 525, 2596, 553, 454, 1038, 1820, 28361, 333, 17442, 2040, 320, 1965, 281, 1412, 1341, 1193, 4433, 6373, 3799, 272, 267, 562, 273, 21875, 1038, 1820, 3488, 17442, 1964, 320, 1965, 281, 1412, 1341, 1193, 263, 6135, 320, 3799, 272, 267, 562, 273, 21875, 1038, 1820, 3488, 17442, 12750, 13519, 542, 1965, 281, 1412, 1341, 1193, 9852, 738, 3799, 272, 267, 562, 273, 21875, 1038, 1820, 3488, 17442, 2820, 20601, 1965, 281, 1412, 1341, 1193, 5560, 643, 328, 3799, 272, 267, 562, 273, 4297, 2020, 1038, 1948, 700, 4594, 3385, 513, 15255, 30775, 542, 525, 4086, 320, 586, 24140, 31980, 454, 1038, 4086, 320, 3799, 272, 267, 562, 273, 994, 1038, 24140, 31980, 3799, 272, 267, 562, 273, 994, 13872, 1038, 1948, 5463, 573, 597, 23313, 694, 964, 20660, 1483, 714, 541, 11792, 1766, 30685, 525, 454, 1038, 20017, 815, 3403, 28361, 333, 302, 339, 549, 2301, 334, 630, 338, 14672, 21663, 30386, 1038, 952, 630, 322, 611, 2652, 1412, 338, 262, 610, 20017, 2652, 1412, 306, 262, 2187, 2018, 524, 545, 5979, 815, 6936, 454, 1038, 3116, 912, 2018, 524, 545, 5979, 815, 8771, 692, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1292, 3890, 0, 12163, 301, 558, 3691, 281, 5517, 3645, 18258, 454, 11917, 27826, 16343, 281, 2836, 4788, 1714, 27353, 632, 796, 1003, 3266, 454, 8505, 528, 281, 2961, 321, 1690, 531, 10548, 657, 20844, 20908, 14243, 338, 454, 293, 3663, 320, 281, 476, 4905, 270, 5881, 270, 866, 454, 20701, 258, 5450, 29081, 16571, 16343, 454, 3698, 27353, 3799, 2187, 14851, 562, 2652, 476, 271, 912, 453, 16596, 476, 272, 454, 28432, 912, 453, 16596, 562, 2608, 27353, 3799, 268, 272, 2020, 258, 8342, 322, 542, 9030, 454, 3698, 1292, 10031, 453, 11133, 815, 703, 9272, 3488, 19617, 3266, 281, 1412, 4917, 13537, 3488, 14976, 27353, 1965, 281, 22207, 1193, 263, 2399, 3645, 16325, 4297, 2020, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 453, 10852, 4590 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 513, 1434, 2063, 8792, 16806, 10516, 888, 2791, 786, 581, 5461, 454, 268, 1548, 616, 930, 1434, 3853, 585, 606, 10324, 13930, 888, 268, 5808, 568, 519, 1158, 781, 1655, 1480, 888, 268, 4208, 798, 476, 273, 2258, 2510, 1118, 513, 2318, 950, 18946, 888, 268, 1215, 798, 594, 1205, 4708, 538, 1250, 1272, 888, 268, 4208, 729, 519, 3096, 543, 11815, 5874, 1935, 2189, 888, 268, 1215, 798, 596, 6218, 1967, 538, 1272, 888, 268, 1215, 798, 596, 3972, 2696, 950, 596, 723, 4160, 888, 268, 1548, 568, 24198, 28215, 888, 268, 2052, 4896, 1205, 513, 10359, 540, 7916, 888, 268, 1548, 568, 21533, 9186, 543, 1946, 568, 621, 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 ]
[ 2344, 585, 713, 568, 519, 1152, 3364, 602, 11225, 519, 2344, 1871, 540, 519, 6125, 269, 634, 25863, 1871, 568, 782, 1305, 547, 581, 513, 6666, 2095, 602, 786, 1205, 7691, 538, 519, 2663, 1296, 540, 519, 5092, 596, 798, 563, 1432, 568, 20607, 4414, 18277, 888, 1103, 8804, 267, 25863, 6257, 519, 23231, 618, 540, 513, 6378, 13867, 3354, 971, 607, 513, 9053, 6006, 610, 6125, 593, 610, 1354, 922, 15657, 4266, 269, 23688, 783, 2508, 9520, 666, 7662, 2699, 3319, 687, 585, 782, 610, 851, 540, 741, 8843, 269, 4414, 3319, 687, 949, 9594, 3854, 12374, 610, 9271, 563, 3674, 513, 1289, 762, 6125, 1434, 888, 7659, 6875, 25498, 269, 11910, 762, 7554, 666, 581, 1572, 2476, 676, 519, 1615, 21838, 1354, 519, 15657, 4266, 267, 1818, 873, 1981, 1512, 982, 1875, 322, 718, 762, 7554, 269, 1717, 267, 1289, 762, 7554, 22771, 9520, 585, 741, 2362, 1981, 676, 5356, 5594, 2362, 1719, 3928, 269, 2560, 11910, 762, 7554, 616, 513, 1434, 5092, 950, 1719, 3928, 2611, 24240, 563, 4692, 596, 6336, 2724, 593, 6125, 21180, 293, 888, 8855, 267, 6125, 21180, 293, 5777, 616, 1759, 593, 519, 2344, 1871, 540, 519, 5817, 19736, 267, 865, 952, 3928, 4473, 543, 6125, 5777, 2887, 267, 519, 1871, 540, 606, 21180, 293, 8066, 1346, 7554, 786, 849, 2887, 269, 1403, 596, 6430, 547, 6133, 513, 6125, 21180, 293, 1310, 513, 2557, 30382, 267, 596, 1223, 7985, 513, 2530, 563, 1432, 616, 519, 2640, 540, 513, 1289, 762, 6125, 888, 288, 1289, 762, 6125, 2636, 3549, 547, 2628, 1055, 741, 7963, 2038, 543, 4324, 689, 15028, 1719, 2557, 12772, 269, 589, 1289, 762, 6125, 2640, 519, 1615, 21838, 267, 543, 865, 9520, 540, 891, 7554, 616, 9104, 730, 609, 513, 811, 10694, 1719, 2557, 982, 593, 6382, 2147, 1875, 2275, 718, 762, 7554, 563, 1432, 568, 519, 25863, 1871, 540, 513, 6125, 888, 16446, 18277, 1871, 568, 519, 3902, 693, 799, 519, 29307, 2754, 949, 3442, 547, 1065, 21332, 513, 3354, 1354, 922, 15657, 4266, 269, 589, 6125, 568, 12349, 693, 513, 10958, 952, 922, 25863, 1871, 20489, 922, 6718, 3902, 269, 898, 568, 12349, 693, 513, 14167, 952, 922, 6718, 3902, 20489, 922, 25863, 1871, 269, 0, 30555, 281, 12130, 1886, 549, 25600, 666, 581, 1031, 547, 1118, 6303, 888, 268, 7913, 1949, 454, 268, 2353, 540, 519, 1657, 454, 1607, 1657, 2243, 834, 31466, 1886, 549, 25600, 666, 581, 1031, 547, 1118, 6303, 8119, 3144, 689, 513, 7121, 540, 8950, 3163, 14330, 17988, 267, 952, 596, 1451, 782, 2243, 540, 713, 1888, 4945, 593, 621, 834, 20663, 3163, 14330, 17988, 2668, 898, 3217, 2947, 547, 4557, 3764, 547, 2347, 713, 1863, 26592, 14330, 17988, 1957, 476, 272, 1449, 269, 1411, 786, 1294, 476, 275, 610, 476, 276, 4781, 540, 1142, 2243, 269, 1411, 1590, 3442, 1315, 1589, 1152, 835, 4781, 543, 1287, 2046, 593, 2626, 1883, 585, 2638, 1318, 2626, 269, 6657, 834, 23797, 5511, 14330, 17988, 1957, 476, 272, 257, 14330, 17988, 543, 2671, 609, 707, 2828, 267, 14552, 267, 19946, 563, 30555, 281, 538, 9049, 268, 2750, 4897, 3071, 1029, 2110, 2759, 1883, 568, 1031, 585, 15720, 9343, 563, 30555, 281, 10374, 12827, 1883, 547, 5595, 896, 1467, 519, 5697, 1257, 568, 12223, 13090, 563, 30555, 281, 26827, 4932, 6763, 585, 13322, 888, 30555, 281, 10374, 12827, 1883, 585, 7827, 2013, 568, 3071, 1693, 888, 30555, 281, 1403, 596, 991, 547, 17677, 7201, 1467, 513, 6478, 267, 875, 786, 596, 798, 602, 888, 30555, 281, 1677, 1376, 13472, 1397, 540, 513, 6881, 888, 30555, 281, 23675, 1184, 1239, 883, 1344, 676, 2324, 14311, 609, 3071, 1693, 888, 30555, 281, 634, 3432, 540, 10618, 1063, 1022, 1079, 3457, 593, 519, 25494, 29135, 568, 13322, 1029, 888, 30555, 281, 769, 9185, 799, 1883, 568, 1031, 547, 1930, 519, 14133, 4542, 6885, 888, 30555, 281, 769, 799, 12449, 267, 3059, 6337, 543, 1085, 10165, 2592, 616, 3335, 6740, 609, 24909, 971, 607, 12500, 5404, 267, 1547, 335, 978, 267, 1547, 329, 17989, 267, 1547, 339, 604, 610, 3052, 604, 888, 30555, 281, 9442, 1063, 513, 2780, 543, 513, 13691, 3322, 13322, 30668, 6771, 563, 30555, 281, 1677, 1569, 3601, 540, 606, 1843, 267, 519, 10856, 4480, 547, 946, 568, 3071, 27702, 888, 30555, 281, 589, 1305, 540, 3652, 585, 10213, 519, 2780, 1018, 4238, 547, 1685, 568, 1572, 513, 3071, 30668, 888, 30555, 281, 6904, 2029, 568, 1031, 538, 11741, 28283, 888, 30555, 281, 634, 2780, 2450, 729, 1360, 1804, 538, 3071, 1029, 888, 30555, 281, 1548, 568, 519, 30246, 268, 4486, 585, 8261, 1899, 2736, 538, 15516, 6478, 888, 30555, 281, 6904, 1883, 593, 519, 13691, 666, 581, 1031, 547, 2070, 13472, 1397, 538, 15516, 17948, 888, 30555, 281, 1548, 1826, 540, 3644, 3096, 2780, 14747, 547, 16196, 3294, 888, 30555, 281, 17335, 293, 6763, 585, 13322, 888, 30555, 281, 5800, 11681, 543, 23721, 616, 3071, 1029, 888, 30555, 281, 634, 1101, 5904, 941, 23553, 1210, 3071, 13090, 888, 30555, 281, 6904, 1893, 1281, 9049, 8862, 867, 946, 547, 1711, 5839, 4592, 888, 30555, 281, 769, 9786, 6478, 267, 1411, 666, 7914, 547, 519, 1985, 6241, 676, 3071, 1693, 888, 30555, 281, 634, 1101, 5907, 2780, 729, 2919, 676, 3071, 1693, 888, 30555, 281, 808, 6064, 552, 17733, 568, 849, 1572, 3071, 318, 888, 30555, 281, 769, 9786, 17948, 1079, 2186, 540, 3280, 2360, 6119, 602, 666, 581, 3773, 547, 519, 6881, 616, 3071, 1693, 888, 30555, 281, 6904, 540, 519, 1739, 616, 3403, 3457, 888, 30555, 281, 634, 30246, 10569, 585, 519, 13322, 318, 1915, 11249, 616, 595, 27530, 266, 29196, 266, 9578, 1129, 454, 30555, 281, 1215, 547, 4894, 782, 1915, 12043, 538, 9049, 6478, 888, 30555, 281, 6904, 540, 519, 1739, 1907, 321, 1513, 1683, 1114, 3681, 538, 1585, 4487, 5784, 538, 17948, 286, 0, 763, 2879, 23803, 2887, 2329, 543, 623, 20269, 454, 763, 2879, 23803, 2887, 2329, 454, 763, 2879, 23803, 2887, 2329, 30443, 802, 16382, 596, 616, 7231, 609, 513, 26483, 2462, 2179, 540, 1239, 543, 621, 1281, 711, 6218, 2973, 6190, 269, 769, 713, 2887, 2329, 267, 1239, 568, 1101, 7318, 593, 1082, 1919, 543, 1152, 1310, 602, 267, 513, 8367, 568, 19775, 269, 901, 568, 1287, 5697, 519, 1482, 1259, 602, 621, 13352, 519, 1239, 7318, 563, 4131, 721, 1491, 513, 2241, 1383, 540, 713, 2887, 2329, 281, 2311, 513, 1153, 609, 476, 272, 267, 1822, 1053, 267, 649, 1577, 1142, 2875, 19184, 513, 11777, 4557, 2053, 269, 1280, 1169, 5066, 540, 968, 15893, 892, 4991, 513, 2875, 513, 1448, 269, 634, 5506, 602, 606, 1367, 1053, 476, 1015, 2053, 538, 513, 4737, 12651, 1297, 568, 827, 476, 272, 547, 476, 272, 267, 1822, 269, 2201, 3328, 4061, 267, 2693, 835, 540, 519, 5215, 540, 1053, 4557, 2053, 25001, 2338, 543, 4991, 476, 1015, 2798, 269, 589, 2879, 23803, 2887, 2329, 898, 1131, 581, 547, 713, 835, 20194, 538, 24794, 1051, 547, 581, 30109, 16805, 11777, 12235, 518, 2094, 646, 814, 16207, 519, 1034, 2798, 563, 2005, 729, 17033, 676, 4960, 602, 891, 1053, 28520, 4557, 2053, 519, 1297, 543, 6364, 568, 711, 606, 16315, 593, 519, 11777, 19184, 13007, 540, 519, 2875, 547, 269, 901, 11777, 19184, 1383, 568, 1869, 6654, 267, 2094, 538, 4434, 568, 3833, 2312, 602, 519, 6364, 540, 513, 11777, 19184, 568, 4351, 269, 1809, 519, 2879, 23803, 2887, 2329, 2501, 1175, 693, 2484, 1447, 6654, 1919, 547, 2927, 819, 267, 607, 519, 1739, 1383, 2982, 912, 763, 2879, 23803, 2887, 2329, 538, 2259, 281, 26679, 543, 1379, 3515, 454, 3080, 540, 519, 1655, 8153, 1806, 540, 971, 513, 2887, 2329, 2501, 689, 513, 16528, 1353, 689, 476, 1960, 273, 269, 901, 1353, 8947, 936, 513, 1974, 540, 476, 1839, 1296, 267, 782, 16528, 10820, 267, 945, 5030, 2282, 513, 1379, 1899, 538, 513, 3099, 540, 3676, 269, 769, 519, 1439, 621, 5828, 856, 602, 1453, 945, 5030, 2282, 1164, 19581, 5653, 3515, 267, 827, 2185, 2053, 607, 1419, 609, 26679, 267, 899, 824, 1453, 269, 589, 1360, 2500, 2046, 3932, 540, 519, 1353, 729, 3533, 1336, 1164, 19581, 5653, 3515, 1291, 547, 513, 13497, 2799, 26679, 1981, 538, 1453, 563, 2026, 513, 1267, 513, 2603, 540, 2724, 729, 6170, 593, 3597, 2014, 2079, 543, 267, 9118, 824, 2090, 593, 519, 1641, 538, 1931, 269, 1717, 267, 729, 2111, 547, 6166, 519, 3095, 1063, 26679, 543, 1379, 3515, 267, 1100, 2417, 1353, 269, 769, 782, 7766, 2090, 519, 1453, 4951, 519, 1482, 26679, 3928, 607, 1453, 945, 1705, 711, 2661, 538, 519, 25610, 540, 971, 3515, 896, 1379, 3515, 269, 0, 19138, 6651, 585, 3848, 476, 277, 11929, 11061, 901, 568, 513, 2489, 23988, 540, 519, 1919, 596, 1058, 917, 543, 581, 2111, 547, 798, 538, 1931, 547, 581, 3811, 593, 519, 3184, 476, 277, 1449, 269, 898, 568, 1271, 267, 711, 1152, 547, 1353, 267, 855, 547, 1353, 20617, 256, 5530, 519, 1983, 543, 2035, 602, 596, 616, 10010, 609, 543, 1118, 2386, 547, 2259, 519, 1983, 596, 1590, 6542, 16634, 335, 15462, 5373, 11066, 3889, 267, 17782, 7636, 9511, 267, 3092, 269, 1306, 2141, 267, 782, 4938, 629, 602, 649, 723, 4121, 689, 519, 3184, 1223, 581, 593, 519, 1449, 267, 865, 1118, 2386, 596, 917, 519, 16166, 269, 476, 277, 269, 272, 2142, 2111, 547, 281, 11512, 1018, 513, 3114, 6125, 568, 543, 1946, 1034, 8444, 1106, 3114, 7554, 630, 24934, 564, 4341, 264, 14674, 25617, 543, 32128, 16345, 269, 11512, 875, 789, 616, 2147, 543, 1946, 1034, 7554, 616, 711, 17033, 32128, 610, 17033, 25617, 269, 4147, 1518, 16345, 1826, 2687, 547, 3604, 538, 18546, 821, 326, 18356, 269, 476, 277, 269, 273, 2142, 2111, 547, 281, 11512, 519, 2078, 1063, 6125, 3259, 543, 6125, 4222, 269, 13760, 519, 2078, 1063, 3845, 1063, 16042, 8444, 543, 6125, 3259, 269, 3557, 270, 1410, 21622, 519, 12354, 564, 2142, 2111, 547, 2491, 543, 4019, 519, 11066, 2497, 538, 1931, 547, 6542, 875, 8444, 6125, 547, 835, 1776, 547, 1106, 6675, 269, 23227, 622, 543, 2491, 16982, 3889, 269, 476, 277, 269, 274, 2142, 2111, 547, 281, 14424, 543, 4334, 519, 3114, 4542, 585, 513, 7636, 630, 322, 26276, 264, 7623, 543, 606, 25617, 7623, 11512, 519, 11460, 540, 12274, 538, 14848, 269, 11512, 24775, 1648, 269, 3503, 519, 11066, 2497, 540, 513, 4874, 30061, 9357, 269, 5269, 2386, 547, 946, 1496, 9948, 266, 25773, 1152, 950, 7231, 609, 4874, 30061, 12274, 269, 476, 277, 269, 275, 2142, 2111, 547, 2491, 17285, 16345, 543, 2491, 1946, 8407, 723, 8984, 3601, 971, 607, 544, 4150, 1464, 267, 13811, 1006, 267, 19428, 267, 543, 1946, 789, 616, 21743, 1813, 547, 17285, 16345, 269, 476, 277, 269, 276, 2142, 2111, 547, 281, 11512, 519, 966, 306, 7968, 305, 7869, 543, 4019, 713, 3069, 547, 3589, 5546, 540, 6675, 543, 4874, 30061, 12274, 269, 14674, 16702, 1961, 1673, 760, 1961, 4229, 267, 25756, 7554, 267, 543, 5507, 2598, 11825, 542, 17086, 630, 299, 5263, 264, 543, 875, 519, 1198, 8984, 3601, 540, 7135, 269, 630, 22517, 4979, 1448, 267, 13621, 1448, 267, 32610, 264, 11512, 1018, 11887, 7636, 9511, 543, 581, 2111, 547, 3589, 519, 8701, 640, 540, 513, 11140, 1759, 593, 519, 7636, 9511, 269, 0, 5719, 2718, 609, 3653, 568, 513, 5458, 5533, 1966, 269, 634, 4358, 1448, 814, 547, 581, 547, 2569, 519, 3653, 649, 26565, 540, 269, 29766, 952, 596, 666, 269, 16179, 2472, 602, 786, 2063, 543, 602, 596, 991, 563, 2252, 596, 798, 723, 1919, 596, 1810, 1406, 1616, 267, 22120, 621, 998, 707, 2199, 17493, 15945, 610, 1857, 2344, 4025, 971, 607, 5131, 12860, 3162, 5101, 269, 4279, 11647, 4015, 2533, 1331, 519, 1347, 885, 590, 826, 27550, 1457, 543, 3703, 9839, 7690, 563, 2252, 513, 1587, 596, 4444, 814, 11183, 602, 3112, 581, 13381, 267, 2015, 9140, 606, 4244, 269, 16792, 5010, 12503, 899, 713, 786, 4166, 1445, 519, 8186, 540, 519, 12696, 563, 12850, 568, 1419, 3144, 585, 11292, 267, 6148, 1589, 1586, 827, 707, 3653, 1216, 563, 303, 3174, 540, 1426, 602, 568, 24906, 568, 513, 5458, 9295, 547, 3327, 708, 14591, 269, 23423, 1018, 596, 12235, 2476, 543, 1489, 17709, 3123, 971, 607, 1426, 8492, 563, 8196, 995, 14540, 7396, 2630, 563, 300, 573, 5080, 9445, 7991, 2605, 573, 2471, 2372, 1774, 281, 968, 5978, 2832, 568, 547, 3247, 1426, 3653, 543, 547, 23799, 25572, 519, 4430, 1426, 689, 2706, 5658, 1115, 267, 14060, 267, 22538 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 827, 519, 3800, 596, 666, 1491, 547, 5150, 707, 1344, 267, 1205, 538, 5905, 3842, 519, 1106, 2630, 563, 23086, 721, 2221 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12933, 540, 3703, 7073, 2486, 269, 347, 307, 944, 339, 760, 827, 21409, 609, 1762, 1453, 269, 4964, 4283, 547, 4228, 269, 589, 4819, 16823, 568, 9286, 607, 1373, 11157, 8696, 513, 1279, 942, 2025, 610, 1447, 982, 269, 2353, 2370, 3283, 814, 547, 581, 10483, 676, 606, 2937, 16823, 269, 589, 5207, 540, 476, 275, 24771, 1004, 543, 476, 274, 1453, 949, 1134, 3251, 538, 513, 1268, 1747, 269, 347, 12626, 3085, 1405, 4866, 547, 1152, 835, 3148, 267, 543, 621, 1281, 711, 4866, 1152, 547, 18939, 540, 2296, 13896, 269, 2296, 568, 17216, 606, 4013, 1893, 540, 6082, 20651, 676, 19625, 540, 18939, 540, 6805, 10529, 540, 2296, 269, 898, 781, 3893, 849, 2490, 883, 17216, 634, 1034, 2629, 1893, 1934, 540, 3955, 11666, 1581, 6643, 950, 1004, 602, 2671, 1100, 6805, 1893, 2743, 909, 609, 10876, 593, 519, 4541, 269, 8679, 1103, 476, 9264, 279, 267, 25424, 28732, 5950, 519, 1977, 9218, 540, 707, 2296, 1893, 538, 1931, 547, 3715, 513, 2343, 585, 6340, 543, 1603, 1977, 2296, 602, 729, 4830, 689, 707, 3703, 3339, 269, 769, 6628, 267, 1875, 10687, 3000, 610, 8519, 1576, 13172, 3681, 941, 1373, 5051, 588, 25634, 2213, 267, 3056, 547, 519, 2656, 3262, 689, 519, 31449, 8677, 10838, 519, 4099, 6030, 16804, 325, 604, 1399, 5722, 2639, 763, 10259, 4480, 267, 610, 9647, 2762, 267, 540, 2296, 568, 3818, 2000, 599, 1229, 267, 609, 1919, 540, 3943, 267, 5824, 267, 543, 5259, 10259, 538, 1840, 547, 519, 6805, 27272, 5650, 269, 4329, 811, 13542, 723, 818, 17470, 998, 3280, 12381, 609, 799, 519, 9647, 2762, 814, 711, 6740, 32171, 269, 1879, 3379, 609, 3864, 4654, 585, 799, 31131, 14540, 723, 15469, 10259, 15024, 267, 2296, 3896, 814, 10259, 2334, 949, 581, 513, 513, 2603, 1447, 4096, 762, 13525, 540, 12332, 543, 3044, 29745, 540, 2453, 799, 1522, 581, 27162, 615, 547, 7058, 689, 23115, 856, 875, 513, 2165, 568, 14733, 563, 307, 2967, 701, 328, 13575, 16053, 538, 12797, 540, 922, 3063, 12021, 7489, 30980, 267, 4945, 1934, 519, 6263, 6532, 540, 15990, 568, 3274, 7996, 1472, 547, 3622, 581, 4857, 269, 1530, 9567, 1530, 9567, 2220, 597, 3149, 1927, 23836, 5493, 2167, 543, 10543, 6990, 609, 2413, 6377, 2511, 2261, 12069, 543, 1459, 6377, 11951, 563, 307, 944, 339, 760, 827, 21409, 609, 1507, 1453, 269, 4964, 4283, 547, 4228, 269, 589, 27344, 16823, 568, 12290, 607, 4867, 1373, 476, 1704, 5756, 3105, 610, 896, 269, 2353, 2370, 3283, 814, 547, 581, 10483, 676, 606, 717, 3497, 1575, 16823, 269, 589, 1224, 811, 5021, 540, 2185, 4079, 543, 1614, 19920, 949, 5310, 2611, 538, 835, 1753, 269, 348 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 614, 267, 945, 568, 519, 14787, 693, 519, 6237, 9754, 538, 519, 5045, 5651, 822, 1014, 4884, 540, 631, 1731, 592, 990, 269, 631, 1731, 592, 990, 267, 1634, 538, 4436, 607, 21208, 11169, 7921, 267, 729, 585, 5553, 835, 540, 519, 1034, 1271, 6014, 18013, 538, 519, 3148, 269, 3967, 6762, 614, 543, 594, 849, 5941, 875, 16231, 338, 2070, 741, 1686, 267, 543, 519, 5449, 4436, 3310, 538, 713, 851, 540, 519, 1158, 267, 855, 649, 1101, 12038, 827, 513, 1641, 646, 2027, 2478, 538, 267, 631, 1731, 592, 990, 781, 3638, 6014, 1686, 563, 10454, 1101, 2446, 540, 513, 4035, 23493, 538, 631, 1731, 592, 990, 2501, 689, 476, 15793, 280, 267, 855, 972, 729, 4440, 711, 2943, 513, 2898, 2146, 972, 269, 6014, 5095, 22157, 547, 581, 13671, 538, 8273, 10034, 543, 538, 4872, 899, 21499, 543, 5696, 7224, 563, 257, 3719, 538, 827, 519, 1647, 540, 519, 476, 1428, 628, 2540, 789, 3893, 30461, 689, 782, 519, 10424, 4872, 899, 21499, 543, 5696, 7224, 267, 865, 789, 941, 3168, 585, 4025, 3544, 891, 1079, 4872, 267, 865, 789, 1223, 1869, 979, 972, 585, 4123, 563, 257, 4517, 631, 1731, 592, 990, 5949, 547, 581, 13883, 1360, 1862, 338, 3726, 2406, 1317, 621, 781, 1152, 827, 476, 3583, 5998, 689, 21499, 543, 476, 2004, 689, 5696, 7224, 267, 865, 789, 1223, 2965, 1118, 513, 835, 6377, 7552, 972, 543, 2097, 1394, 1510, 3423, 908, 519, 4341, 602, 15286, 873, 689, 9363, 972, 4799, 4263, 1018, 942, 729, 519, 6014, 2146, 538, 631, 1731, 592, 990, 693, 922, 7887, 888, 10454, 4098, 540, 519, 476, 866, 628, 2540, 267, 1317, 972, 729, 713, 5482, 8270, 10622, 28856, 267, 610, 2785, 1304, 523, 1876, 267, 5189, 602, 3908, 519, 1297, 540, 6014, 3885, 538, 519, 4425, 1335, 1014, 13862, 3338, 563, 257, 3719, 519, 18211, 7095, 1920, 602, 11262, 631, 1731, 592, 990, 4718, 519, 6014, 2146, 607, 1360, 1434, 585, 519, 4346, 540, 519, 10040, 267, 865, 789, 2965, 7307, 547, 2333, 519, 1297, 540, 891, 3885, 972, 563, 257, 4517, 538, 476, 7277, 279, 543, 1287, 2663, 609, 519, 1007, 11156, 538, 476, 6642, 277, 782, 891, 7182, 543, 7687, 941, 27618, 543, 7642, 3262, 782, 936, 519, 1747, 543, 4682, 547, 21499, 6140, 4799, 300, 1731, 592, 990, 568, 1360, 267, 1360, 2282, 519, 22341, 8473, 267, 621, 781, 1472, 476, 2004, 5998, 689, 21499, 910, 875, 5702, 729, 519, 12556, 540, 7642, 538, 631, 1731, 592, 990, 13615, 547, 519, 12556, 540, 7642, 538, 15212, 888, 257, 5575, 540, 782, 7642, 538, 15212, 568, 538, 1249, 7642, 538, 21499, 267, 1317, 972, 941, 711, 1082, 7642, 2713, 3544, 21499, 269, 1656, 540, 1576, 972, 941, 782, 1644, 1862, 11004, 729, 713, 2462, 3595, 267, 594, 1589, 519, 7887, 3595, 538, 631, 1731, 592, 990, 5949, 538, 476, 14378, 280, 267, 543, 519, 7642, 538, 21499, 1185, 513, 4015, 547, 948, 547, 25580, 519, 2146, 538, 631, 1731, 592, 990, 269, 1924, 4123, 30150, 543, 1920, 30150, 789, 941, 1360, 5702, 4448, 4799, 31549, 707, 2816, 4547, 596, 2673, 547, 17194, 286, 5620, 596, 2919, 513, 2178, 1719, 538, 621, 888, 257, 8133, 267, 1360, 1454, 865, 269, 2353, 519, 1382, 543, 782, 519, 8313, 941, 2469, 593, 1360, 1134, 1354, 519, 5822, 2622, 2782, 267, 855, 1287, 621, 729, 29169, 540, 1576, 676, 519, 2112, 267, 543, 789, 782, 5747, 610, 2451, 610, 4682, 547, 5840, 269, 1924, 596, 2186, 540, 1628, 593, 1018, 789, 1705, 563, 257, 9827, 950, 596, 1224, 12190, 13132, 540, 741, 960, 596, 1265, 596, 723, 547, 3717, 12355, 267, 610, 1224, 12355, 693, 2547, 267, 547, 1569, 519, 2959, 602, 789, 1185, 269, 1924, 9811, 267, 621, 4547, 803, 1360, 2673, 547, 519, 6138, 540, 621, 543, 519, 1893, 543, 519, 2528, 4799, 13202, 267, 596, 2811, 513, 14787, 910, 875, 1134, 1131, 596, 2161, 16231, 338, 917, 741, 1686, 888, 19285, 6415, 711, 2386, 827, 602, 269, 2986, 1576, 1082, 1004, 616, 17399, 656, 827, 1686, 1175, 607, 789, 2811, 17399, 656, 827, 824, 1919, 269, 1809, 594, 1589, 538, 2489, 602, 519, 2596, 4656, 540, 16231, 1686, 1851, 16231, 338, 568, 9425, 1434, 563, 257, 3719, 519, 3364, 568, 602, 585, 827, 476, 2004, 1296, 1114, 12496, 543, 2418, 941, 17332, 883, 519, 1353, 540, 1686, 267, 865, 540, 1576, 1082, 1004, 1631, 616, 3843, 547, 1294, 2436, 267, 585, 1383, 267, 519, 670, 1380, 924, 3350, 568, 2731, 607, 621, 729, 1427, 1245, 543, 14648, 676, 21340, 2351, 328, 20802, 4799, 1432, 729, 519, 21340, 1620, 540, 519, 670, 1380, 2572, 888, 257, 5445, 2219, 621, 729, 519, 1101, 12316, 5920, 540, 519, 2324, 1362, 267, 610, 27998, 610, 8726, 267, 1996, 519, 15194, 5049, 269, 1809, 540, 1576, 789, 547, 513, 1390, 6708, 16053, 519, 2898, 3909, 851, 540, 621, 4799, 25898, 596, 2161, 1004, 781, 1620, 540, 1686, 568, 25302, 513, 3787, 676, 25399, 286, 6736, 2933, 1862, 15161, 2893, 538, 21340, 13460, 563, 28494, 675, 267, 543, 594, 1810, 1405, 1589, 621, 781, 1175, 25399, 267, 1317, 782, 519, 2817, 4860, 2526, 538, 519, 476, 866, 628, 2540, 267, 799, 729, 1862, 335, 1503, 784, 539, 883, 519, 3689, 6243, 607, 1134, 267, 538, 519, 3406, 585, 930, 2186, 540, 3084, 2856, 267, 610, 519, 2856, 540, 519, 16231, 657, 21754, 752, 1533, 563, 10454, 3364, 568, 602, 1686, 729, 1031, 676, 519, 1209, 1235, 267, 855, 849, 676, 930, 12206, 1354, 519, 21340, 5736, 267, 547, 6961, 610, 3715, 610, 930, 5013, 1862, 16269, 4941, 621, 547, 4196, 930, 3483, 2864, 982, 930, 6662, 1353, 540, 519, 2250, 269, 1924, 9811, 267, 621, 729, 25302, 4799, 25898, 596, 2161, 713, 2197, 781, 4436, 543, 6014, 1686, 814, 1044, 2854, 856, 540, 1686, 547, 930, 6708, 267, 1317, 540, 519, 991, 547, 1711, 513, 4182, 543, 782, 602, 2186, 540, 3364, 888, 257, 17764, 267, 1360, 1454, 865, 267, 9811, 9090, 269, 898, 3357, 607, 513, 8710, 950, 594, 729, 476, 1428, 610, 476, 1626, 547, 3605, 602, 972, 941, 811, 16586, 2713, 538, 16231, 657, 21754, 25474, 1354, 519, 2112, 982, 972, 941, 30355, 6545, 563, 257, 3383, 789, 941, 3843, 547, 1459, 519, 16231, 338, 267, 610, 16231, 657, 21754, 25474, 693, 602, 942, 267, 607, 930, 2186, 540, 4396, 4182, 1369, 922, 10665, 267, 855, 18864, 1767, 621, 729, 711, 865, 1862, 5976, 7642, 621, 781, 513, 2370, 3787, 1114, 267, 855, 835, 3791, 540, 519, 2551, 729, 4436, 543, 596, 666, 1405, 11716, 602, 563, 19285, 1589, 519, 1686, 540, 16231, 338, 568, 811, 538, 519, 5872, 609, 519, 3544, 1158, 267, 2864, 982, 267, 596, 917, 267, 538, 741, 1378, 4799, 25898, 596, 2161, 602, 16231, 338, 723, 4503, 1945, 998, 267, 547, 930, 6708, 267, 24937, 602, 4436, 1686, 888, 257, 11039, 267, 594, 6415, 711, 2386, 827, 602, 267, 855, 789, 9090, 4503, 1945, 676, 6117, 782, 1346, 16586, 856, 540, 519, 2197, 267, 1317, 540, 1576, 1862, 1492, 811, 15128, 267, 865, 547, 3717, 267, 519, 811, 1114, 7285, 540, 3168, 693, 835, 3364, 596, 723, 267, 519, 21950, 596, 616, 4799, 293, 3757, 345, 918, 2378, 6390, 267, 519, 2278, 267, 568, 28020, 711, 9833, 607, 1373, 16231, 676, 16231, 338, 269, 1809, 616, 972, 930, 2609, 540, 4436, 1686, 1934, 602, 723, 1044, 834, 290, 14864, 545, 2213, 257, 543, 3144, 593, 676, 519, 16231, 338, 267, 543, 1631, 789, 616, 10583, 540, 1346, 2609, 888, 257, 8133, 267, 711, 865, 1454, 538, 5651, 822, 807, 855, 519, 2898, 26285, 826, 1862, 523, 1444, 267, 519, 2898, 25386, 2609, 602, 1004, 616, 3168, 585, 538, 26285, 826, 910, 602, 729, 693, 2547, 3368, 4436, 267, 952, 27216, 621, 2306, 1022, 2631, 563, 24281, 4425, 1335, 807, 621, 729, 513, 3787, 1114, 267, 1317, 519, 3844, 1858, 540, 4425, 1335, 807, 729, 540, 1576, 16231, 543, 519, 8473, 2127, 941, 4436, 563, 257, 3719, 538, 5651, 822, 807, 972, 941, 16586, 2713, 538, 1034, 540, 519, 2101, 10034, 543, 4872, 269, 5696, 7224, 729, 3368, 4436, 267, 9986, 558, 537, 322, 711, 1360, 1454, 865, 267, 855, 1287, 1160, 4614, 329, 990, 1862, 527, 729, 3592, 4436, 4872, 4799, 2690, 326, 13516, 16231, 2121, 9126, 2306, 513, 2097, 3724, 454, 290, 14864, 338, 543, 16586, 538, 476, 4350, 271, 338, 16231, 657, 21754, 25474, 281, 513, 1950, 4605, 454, 296, 935, 545, 16231, 12478, 602, 15068, 6735, 689, 519, 4639, 1310, 519, 2887, 540, 25399, 454, 385, 510, 330, 18649, 21048, 2812, 476, 275, 628, 22831, 4239, 822, 807, 6619, 540, 2203, 779, 476, 2568, 628, 16683, 454, 1428, 1296, 2663, 1107, 729, 10678, 4108, 3028, 1318, 1847, 585, 16231, 6243, 286, 0, 4462, 2006, 2740, 19666, 6472, 7866, 519, 1764, 540, 513, 2698, 3859, 24256, 593, 519, 11626, 2627, 4494, 269, 3682, 322, 4569, 4284, 1621, 2233, 476, 1001, 280, 282, 476, 275, 4037, 263, 19442, 280, 2567, 1001, 3445, 273, 1321, 15014, 454, 2171, 946, 30313, 2740, 19666, 6472, 547, 23827, 622, 519, 2627, 4494, 3157, 1282, 513, 3859, 24256, 543, 2744, 513, 3102, 1413, 693, 519, 2242, 1500, 547, 519, 11626, 2627, 4494, 607, 513, 1267, 540, 519, 4028, 1689, 540, 1202, 15684, 269, 12763, 906, 540, 519, 11626, 2627, 4494, 2497, 1500, 676, 519, 30313, 2740, 1949, 616, 4448, 547, 2627, 7403, 547, 1683, 513, 11455, 2070, 540, 519, 1764, 540, 519, 24256, 593, 519, 2282, 1606, 16577, 7180, 267, 1804, 8397, 24360, 3889, 543, 1507, 8397, 24360, 6384, 269, 7756, 20816, 540, 11626, 2627, 4494, 7180, 941, 4857, 267, 609, 519, 1034, 1713, 1764, 1519, 519, 5250, 540, 513, 7123, 4494, 1175, 1310, 9103, 1275, 543, 2963, 540, 22398, 9109, 6953, 601, 332, 3128, 16379, 6329, 17729, 693, 519, 8818, 1063, 713, 4494, 543, 519, 15895, 4494, 8108, 1657, 621, 269, 634, 6175, 538, 2627, 8022, 3361, 513, 862, 839, 23847, 6175, 538, 26255, 656, 24360, 2504, 267, 799, 8507, 538, 513, 4028, 9178, 540, 519, 31285, 538, 519, 11626, 2627, 4494, 1312, 1369, 519, 7123, 4494, 543, 538, 519, 6404, 4494, 8108, 1657, 621, 269, 31056, 2242, 538, 519, 2842, 4287, 941, 13684, 676, 519, 6175, 538, 1202, 15684, 267, 609, 2963, 5885, 519, 5250, 540, 513, 27248, 15191, 267, 607, 1134, 607, 25380, 540, 519, 2842, 6152, 1369, 519, 7123, 4494, 269, 0, 1607, 3810, 1673, 564, 9229, 1480, 14169, 2679, 6539, 568, 1187, 547, 4020, 543, 11414, 513, 5763, 540, 1344, 827, 519, 22623, 658, 20258, 1062, 538, 519, 1184, 563, 8256, 12371, 540, 11157, 8696, 20133, 558, 1227, 5730, 2694, 267, 713, 4241, 2203, 3947, 3214, 543, 4079, 513, 3532, 1620, 540, 519, 2694, 602, 1118, 909, 519, 1480, 15693, 269, 27777, 1670, 1565, 3587, 27314, 569, 12667, 607, 596, 4062, 1927, 519, 5693, 13042, 543, 2681, 2275, 10757, 6810, 540, 519, 15693, 269, 6423, 875, 1142, 17866, 1367, 5057, 2501, 1927, 547, 7866, 513, 1950, 2898, 602, 2488, 835, 540, 2470, 781, 1034, 5150, 543, 11141, 8825, 1949, 267, 8027, 519, 1034, 1950, 543, 10347, 1418, 538, 519, 1560, 267, 7863, 621, 689, 2800, 563, 2304, 5140, 10516, 585, 2564, 610, 7350, 1053, 267, 543, 513, 3501, 1840, 547, 519, 14169, 4928, 563, 1607, 4837, 8210, 6352, 1889, 9807, 544, 1872, 2306, 606, 5140, 10516, 2336, 30395, 936, 476, 1911, 3078, 5907, 3785, 609, 713, 2653, 547, 946, 6539, 2336, 1607, 11442, 10905, 519, 13300, 540, 7256, 3933, 12399, 543, 16657, 2987, 7308, 1673, 1046, 1187, 267, 782, 538, 835, 2336, 9596, 782, 827, 519, 2257, 540, 1769, 267, 25852, 543, 3308, 8226, 609, 713, 8748, 6539, 2336, 763, 670, 3426, 2006, 1975, 1877, 21040, 543, 11731, 609, 513, 9589, 5163, 865, 5714, 543, 2241, 602, 3214, 666, 1405, 948, 855, 1404, 609, 621, 585, 3108, 563, 30395, 606, 30402, 24599, 267, 606, 5122, 3032, 777, 738, 267, 513, 7450, 10428, 669, 830, 267, 513, 751, 25393, 267, 543, 811, 609, 713, 6539, 2336, 4263, 1535, 308, 5404, 2593, 596, 786, 1265, 513, 1804, 5542, 540, 3621, 2472, 5402, 26940, 676, 1483, 3744, 543, 7855, 269, 1284, 6133, 3388, 689, 3872, 9162, 267, 4116, 7727, 585, 2257, 4928, 267, 2978, 3937, 267, 2257, 9162, 267, 2257, 4023, 7727, 267, 4928, 3937, 267, 7998, 4837, 2264, 267, 7998, 2978, 3937, 267, 6323, 1629, 657, 267, 11418, 7727, 267, 11608, 267, 2257, 20164 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3206, 26770, 602, 513, 4625, 7059, 10307, 786, 2141, 2097, 856, 540, 513, 5114, 563, 3719, 2907, 513, 2241, 1383, 2982, 602, 649, 1869, 723, 1034, 1919, 547, 3605, 281, 1403, 835, 6499, 513, 5114, 540, 606, 11046, 540, 9436, 609, 606, 11046, 540, 5135, 630, 5976, 519, 6986, 4358, 2326, 264, 538, 20117, 267, 713, 568, 1152, 2009, 693, 1360, 1164, 2837, 543, 1164, 2604, 269, 2353, 519, 1247, 2713, 7103, 666, 798, 519, 1482, 693, 4055, 2837, 256, 1280, 713, 267, 607, 1134, 607, 585, 1896, 824, 1806, 267, 1979, 32554, 1235, 723, 1100, 7778, 269, 18160, 267, 632, 645, 5766, 12340, 543, 824, 1390, 3744, 4371, 519, 2070, 1644, 547, 25536, 912, 14071, 1590, 1863, 6000, 1934, 267, 607, 10876, 538, 519, 2257, 267, 689, 2025, 268, 549, 6838, 267, 1419, 1152, 2219, 8393, 3144, 936, 28639, 9731, 288, 524, 2096, 1738, 8086, 593, 1216, 454, 2252, 267, 585, 1383, 267, 513, 2030, 27862, 606, 3693, 267, 519, 2030, 814, 27229, 12842, 519, 3693, 689, 519, 3037, 269, 898, 1281, 711, 1256, 13182, 519, 4603, 267, 799, 2982, 602, 1007, 6878, 1376, 547, 2291, 543, 1866, 14897, 630, 341, 13895, 6901, 538, 5333, 267, 6576, 267, 27597, 267, 3092, 12175, 1677, 1174, 18993, 16615, 267, 835, 2115, 930, 2596, 1702, 269, 2353, 8444, 540, 519, 1482, 3693, 723, 606, 9838, 1297, 540, 22571, 543, 9211, 269, 5221, 606, 11046, 568, 7363, 30788, 9243, 269, 1809, 519, 1297, 540, 25268, 538, 513, 13540, 666, 581, 1114, 269, 898, 814, 519, 1482, 2527, 607, 513, 23442, 269, 2311, 1682, 602, 723, 519, 1482, 1297, 540, 22571, 855, 1114, 2338, 540, 25268, 616, 1572, 24745, 563, 8025, 4629, 308, 21203, 654, 2969, 2207, 9338, 24535, 5990, 661, 2752, 8025, 645, 4488, 6865, 2464, 589, 14959, 4041, 454, 2005, 568, 1898, 547, 4063, 602, 824, 6878, 2141, 4866, 547, 621, 269, 26192, 1216, 568, 4061, 3294, 519, 2596, 2783, 269, 898, 568, 865, 602, 1927, 609, 824, 6878, 513, 3818, 13109, 540, 1272, 3029, 666, 1020, 269, 3245, 713, 20185, 621, 568, 2649, 1043, 602, 519, 3761, 12462, 26625, 2211, 532, 892, 540, 1426, 264, 540, 11254, 7408, 267, 12627, 4006, 543, 10991, 2472, 568, 711, 513, 3761, 540, 1272, 585, 519, 1480, 1373, 269, 1809, 602, 779, 1317, 891, 6675, 616, 1152, 8043, 585, 1945, 267, 855, 538, 2259, 789, 616, 968, 24105, 6100, 1924, 267, 538, 713, 2013, 267, 519, 3196, 703, 2586, 267, 568, 602, 540, 519, 22803, 267, 602, 568, 267, 519, 4666, 3196, 269, 634, 2048, 24479, 685, 540, 713, 4666, 3196, 568, 6587, 547, 519, 1648, 540, 1272, 602, 568, 3144, 538, 513, 19997, 630, 604, 621, 814, 1044, 6738, 1418, 1227, 1916, 3383, 1577, 779, 17412, 524, 2096, 1738, 9759, 540, 1216, 912, 2467, 568, 513, 1292, 3765, 24483, 538, 519, 17748, 540, 1272, 538, 7713, 621, 1152, 689, 3618, 569, 6878, 543, 741, 2834, 885, 269, 1703, 2421, 519, 1898, 4229, 267, 799, 2097, 689, 519, 26355, 543, 616, 3742, 538, 782, 1272, 630, 8690, 267, 3662, 267, 1480, 1070, 616, 2901, 20495, 610, 7229, 543, 24565, 896, 519, 31739, 3809, 540, 519, 3618, 4031, 269, 7316, 649, 616, 1631, 1759, 593, 713, 2070, 267, 666, 581, 2938, 1175, 538, 6935, 547, 6683, 543, 922, 7829, 540, 1216, 10876, 269, 630, 763, 10980, 538, 4993, 267, 519, 15018, 909, 540, 519, 1488, 531, 7256, 267, 543, 1082, 811, 1040, 589, 4909, 556, 628, 9722, 1590, 2253, 267, 952, 649, 798, 711, 1616, 547, 1491, 2476, 938, 4493, 540, 1272, 269, 5221, 519, 27402, 540, 713, 2186, 540, 6683, 630, 18034, 519, 3573, 17656, 585, 15780, 538, 1896, 4627, 7397, 3178, 264, 30001, 519, 1272, 11248, 540, 938, 3618, 563, 12850, 540, 5020, 454, 13480, 998, 1250, 1373, 454, 7437, 1250, 23339, 454, 27802, 1734, 540, 3047, 454, 3725, 576, 633, 519, 1007, 1379, 454, 290, 10744, 540, 519, 18495, 454, 6826, 3835, 267, 3251, 1869, 454, 4517, 1589, 827, 707, 2832, 563, 7437, 1250, 786, 454, 9802, 2095, 609, 707, 11419, 912, 12850, 540, 5020, 563, 1700, 2311, 2006, 328, 267, 476, 1691, 269, 279, 269, 1001, 276, 454, 10666, 519, 2278, 454, 763, 7376, 2311, 2006, 328, 1568, 607, 513, 21917, 267, 18048, 267, 2278, 267, 1863, 11001, 543, 12115, 518, 269, 1261, 568, 703, 13208, 7722, 609, 519, 1480, 5639, 1107, 621, 568, 519, 4099, 540, 1010, 1279, 3856, 960, 543, 7499, 2534, 269, 1261, 6594, 267, 1851, 1866, 267, 5888, 538, 18293, 630, 307, 15939, 1731, 990, 20391, 20271, 2218, 1070, 814, 513, 9546, 323, 21807, 4116, 26885, 543, 3947, 1585, 5721, 902, 269, 630, 18662, 540, 20429, 8830, 2305, 267, 1261, 29993, 9751, 281, 19848, 1993, 517, 7497, 267, 23046, 590, 5424, 267, 3427, 540, 11873, 281, 8298, 657, 8566, 571, 706, 23653, 267, 7376, 1227, 6905, 9546, 323, 21807, 2069, 630, 7775, 874, 545, 5336, 639, 673, 4065, 26895, 2311, 2006, 328, 8547, 519, 968, 31359, 540, 7327, 532, 892, 538, 476, 1220, 271, 607, 606, 7499, 543, 3621, 1382, 4099, 538, 670, 15077, 577, 1817, 333, 269, 1656, 646, 568, 519, 4384, 1807, 540, 519, 2622, 595, 2096, 1738, 6837, 543, 519, 3427, 540, 595, 2096, 1738, 269, 8940, 269, 6973, 728, 636, 3820, 454, 1607, 2376, 7902, 8385, 593, 519, 4436, 5851, 2457, 540, 570, 3430, 9366, 966, 633, 6390, 281, 966, 558, 24380, 523, 964, 654, 817, 619, 0, 763, 13691, 568, 513, 3926, 602, 3091, 519, 1883, 25247, 540, 1585, 3457, 267, 6191, 267, 543, 7405, 563, 23744, 267, 519, 13691, 2636, 1852, 610, 4971, 540, 519, 3926, 538, 2243, 563, 25387, 267, 519, 2165, 568, 5702, 1644, 547, 519, 15672, 602, 2636, 1239, 547, 581, 9411, 593, 513, 2780, 610, 1776, 3059, 3684, 563, 2691, 519, 3593, 2046, 525, 513, 1883, 267, 519, 24290, 1344, 568, 2366, 547, 519, 2780, 267, 543, 519, 2780, 10525, 519, 1915, 7222, 547, 519, 1883, 593, 519, 5496, 563, 20663, 1883, 15236, 723, 21229, 534, 10179, 545, 267, 18685, 267, 543, 2027, 10569, 563, 4322, 2189, 10569, 1331, 267, 585, 1383, 267, 10569, 4092, 593, 1283, 540, 519, 13691, 267, 1634, 607, 1599, 10569, 267, 602, 1450, 721, 547, 946, 873, 2047, 609, 6000, 610, 1866, 593, 1896, 3292, 610, 2645, 563, 4517, 782, 891, 616, 519, 11049, 10569, 602, 1450, 519, 2780, 3593, 547, 1685, 4238, 971, 607, 18111, 1154, 1257, 267, 3001, 1063, 3817, 543, 6054, 3533, 267, 610, 4946, 1585, 3688, 563, 1103, 713, 2013, 267, 891, 10569, 1331, 3399, 267, 1546, 8541, 267, 7736, 267, 610, 8525, 13560, 563, 6635, 992, 10569, 267, 2185, 540, 799, 723, 21985, 267, 616, 8449, 2629, 593, 1169, 2780, 563, 2005, 568, 519, 8800, 602, 2636, 3001, 2451, 267, 1318, 267, 1524, 267, 610, 909, 519, 3561, 610, 1357, 2985, 596, 1930, 563, 1103, 1840, 547, 519, 1657, 267, 649, 1590, 11168, 602, 519, 13691, 2636, 585, 6908, 23164, 4247, 676, 9256, 519, 1114, 10569, 602, 3337, 621, 563, 13295, 267, 585, 1383, 267, 1210, 595, 27530, 1341, 645, 2306, 519, 5697, 2262, 610, 8360, 2408, 538, 12050, 267, 1247, 519, 4948, 946, 540, 519, 11632, 12435, 1341, 590, 10569, 2636, 721, 547, 4688, 519, 1930, 3561, 649, 616, 2324, 538, 563, 4322, 616, 10659, 602, 798, 711, 2154, 721, 547, 946, 519, 6749, 16365, 27487, 540, 1114, 3292, 563, 763, 1034, 4122, 1031, 13691, 11768, 568, 1627, 310, 12224, 312, 585, 519, 1101, 3670, 5022, 3254, 676, 519, 10569, 593, 519, 1283, 1899, 563, 1607, 1374, 729, 2966, 538, 476, 5908, 279, 676, 519, 1977, 18332, 1744, 11217, 563, 1103, 824, 1913, 267, 7574, 7405, 609, 513, 13691, 616, 1634, 607, 1883, 15236, 563, 4263, 519, 7903, 540, 513, 7735, 267, 519, 6293, 10063, 806, 3280, 267, 17974, 267, 5907, 267, 610, 13590, 2409, 563, 5278, 1883, 15236, 1450, 21800, 1404, 3724, 540, 4992, 547, 3132, 22334, 269, 634, 1268, 609, 519, 1702, 547, 4612, 891, 7405, 568, 513, 13691, 6345, 563, 303, 10730, 267, 1418, 267, 3771, 1186, 747, 867, 267, 543, 11063, 542, 616, 930, 540, 519, 1034, 2442, 13691, 7405, 538, 519, 2575, 1158, 563, 2690, 1383, 267, 1535, 2643, 25869, 543, 2261, 574, 9346, 723, 513, 2147, 12122, 547, 519, 13691, 267, 4352, 789, 616, 711, 9833, 607, 13691, 7405, 563, 272, 269, 25494, 9502, 454, 273, 269, 14044, 17978, 454, 274, 269, 1548, 568, 12229, 286, 0, 1805, 3994, 7731, 645, 4637, 21079, 769, 25691, 538, 5753, 540, 1970, 13867, 19198, 267, 5530, 3528, 16065, 3115, 7163, 267, 2160, 295, 14283, 3115, 7163, 454, 1805, 21880, 28517, 3885, 666, 948, 2569, 6553, 910, 513, 5312, 936, 716, 10474, 540, 2694, 540, 519, 4761, 1062, 1898, 585, 1279, 3856, 1072, 910, 538, 1453, 689, 1970, 14227, 10080, 267, 2687, 547, 513, 3345, 13523, 2160, 563, 14399, 10362, 547, 1970, 13867, 3885, 1419, 7985, 689, 6553, 543, 25013, 1072, 630, 12294, 4332, 12035, 693, 26638, 267, 2362, 3928, 540, 2085, 5829, 9025, 2068, 543, 2860, 1851, 1866, 264, 1282, 782, 5933, 540, 741, 1272, 950, 3379, 547, 741, 29341, 9905, 563, 257, 6624, 1072, 2042, 538, 1312, 6689, 543, 15296, 4125, 7050, 6553, 2437, 1767, 27068, 661, 269, 16019, 267, 7548, 540, 6530, 538, 519, 1284, 514, 6199, 5441, 540, 8551, 543, 7070, 267, 538, 513, 3948, 269, 834, 763, 1184, 814, 513, 1909, 538, 3987, 267, 2295, 2068, 267, 11959, 543, 930, 11871, 4799, 2690, 519, 1353, 267, 3173, 23500, 5111, 476, 10204, 3885, 689, 1970, 13867, 10080, 538, 1507, 267, 6917, 2127, 538, 11908, 269, 1358, 3226, 5059, 593, 11299, 543, 741, 476, 1556, 4458, 6040, 1453, 563, 763, 3885, 23384, 513, 5722, 22173, 2866, 1982, 602, 3238, 7393, 15970, 1983, 267, 5807, 5347, 2792, 1063, 3237, 543, 1453, 543, 4543, 519, 1453, 1020, 2994, 547, 11883, 909, 609, 2566, 267, 10168, 543, 9263, 2604, 1472, 3023, 267, 5061, 543, 4568, 563, 763, 3173, 6394, 1973, 5439, 543, 6027, 6553, 2157, 950, 519, 1453, 5828, 476, 866, 1296, 2025, 269, 1358, 1336, 602, 1453, 4951, 3648, 1447, 6553, 950, 3379, 547, 1346, 538, 519, 1852, 1895, 563, 20442, 849, 1336, 602, 519, 2866, 729, 1034, 3811, 538, 4227, 6553, 538, 3885, 945, 3357, 689, 519, 1034, 27797, 16973, 2437, 16019, 1767, 269, 834, 763, 1353, 568, 849, 3209, 538, 922, 1445, 593, 3885, 945, 616, 693, 1164, 1981, 585, 1072, 2042, 3448, 547, 824, 4892, 4799, 763, 1353, 11331, 267, 834, 300, 527, 580, 908, 519, 12186, 540, 19974, 2598, 7349, 720, 281, 589, 7731, 14114, 686, 5034, 5369, 22181, 27800, 11087, 806, 769, 25691, 538, 8899, 4149, 2464, 3979, 1977, 15272, 257, 786, 581, 3370, 538, 519, 18619, 540, 519, 2817, 9142, 540, 7070, 630, 303, 2793, 306, 1040, 0, 288, 23170, 7382, 666, 581, 1500, 689, 5068, 6405, 610, 4017, 1120, 20199, 543, 13000, 16894, 689, 707, 1753, 269, 1530, 10364, 13688, 2061, 2825, 5533, 543, 12159, 676, 8156, 21137, 1354, 17579, 532, 621, 883, 519, 1604, 269, 769, 1840, 267, 596, 666, 946, 519, 5701, 1216, 689, 23170, 13688, 538, 12555, 267, 15780, 22507, 267, 543, 4853, 1568, 563, 292, 6123, 1411, 10261, 547, 19321, 2659, 1530, 10364, 26653, 454, 19187, 5826, 540, 23170, 13688, 2337, 596, 2057, 2042, 971, 607, 24571, 3101, 543, 3983, 24462, 32338, 908, 689, 707, 1949, 269, 1411, 666, 849, 2057, 7816, 543, 5826, 3790, 602, 616, 2356, 7199, 952, 596, 946, 707, 23170, 7382, 1949, 14013, 269, 4270, 31720, 22633, 23170, 7382, 1949, 616, 13476, 7874, 543, 666, 2333, 519, 1871, 540, 707, 3959, 269, 12989, 616, 519, 1655, 2081, 547, 2226, 707, 23170, 13688, 563, 11900, 18936, 543, 27124, 22039, 454, 2791, 1058, 3346, 3318, 2533, 547, 8524, 707, 23170, 1062, 543, 6802, 621, 5781, 269, 634, 1826, 540, 23170, 7382, 543, 922, 946, 786, 3313, 875, 5781, 596, 2638, 621, 269, 1280, 1383, 267, 23170, 13688, 28459, 1540, 609, 5122, 17176, 267, 1216, 15450, 267, 543, 7344, 3334, 991, 811, 2834, 14791, 269, 634, 1292, 2188, 12018, 519, 4908, 540, 513, 23170, 7382, 14791, 1331, 519, 2450, 540, 707, 1753, 543, 519, 2179, 540, 16894, 707, 23170, 7382, 12958, 269, 1411, 666, 3489, 3028, 11731, 585, 1949, 602, 616, 4749, 1202, 4624, 543, 1118, 2386, 596, 2226, 5638, 585, 2104, 4704, 563, 292, 2310, 26402, 540, 4826, 454, 8794, 1216, 7561, 538, 707, 1753, 568, 606, 5140, 1259, 540, 4509, 707, 23170, 7382, 269, 1411, 666, 3970, 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 ]
[ 12378, 273, 4590, 0, 5228, 2979, 1104, 2608, 692, 2745, 2891, 825, 1315, 1923, 5602, 2745, 2891, 567, 1315, 476, 1923, 5602, 2745, 2891, 476, 1315, 567, 1923, 5602, 2745, 2891, 28612, 955, 268, 15419, 2745, 19629, 257, 294, 4275, 11738, 315, 257, 9142, 5602, 874, 19189, 815, 834, 294, 4275, 11738, 9142, 4840, 2745, 263, 874, 19189, 1341, 834, 568, 3579, 5602, 2745, 263, 874, 19189, 31573, 14061, 529, 12294, 15405, 2745, 12759, 263, 874, 19189, 4917, 2745, 263, 874, 19189, 314, 274, 7481, 2745, 263, 874, 19189, 18622, 2897, 2891, 294, 4275, 11738, 2580, 834, 292, 548, 11244, 8442, 9239, 2745, 3488, 15916, 2622, 256, 5073, 573, 1228, 815, 3403, 3488, 304, 783, 20527, 513, 647, 320, 7329, 1228, 286, 5073, 2745, 263, 6943, 263, 573, 1228, 4917, 325, 583, 1755, 815, 703, 263, 573, 1228, 264, 1341, 476, 1015, 454, 2745, 263, 6943, 263, 573, 1228, 4917, 325, 583, 1755, 3667, 334, 815, 1193, 6600, 583, 1755, 994, 2745, 2891, 291, 320, 638, 328, 513, 476, 1015, 606, 657, 267, 4938, 17845, 1768, 5451, 834, 1341, 13777, 1755, 3667, 334, 1341, 834, 606, 657, 1701, 2020, 2745, 9638, 578, 263, 274, 267, 273, 11723, 3240, 19571, 815, 476, 277, 4037, 279, 269, 9262, 454, 2745, 263, 1037, 30044, 19571, 4917, 2745, 263, 28776, 263, 276, 269, 5038, 4917, 2745, 263, 1037, 263, 276, 269, 5038, 4917, 2745, 263, 576, 559, 263, 276, 269, 5038, 4917, 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 258, 7711, 11742, 825, 2433, 476, 1708, 271, 270, 275, 270, 2767, 476, 1724, 281, 2918, 454, 258, 7711, 12041, 476, 2433, 18961, 570, 1014, 344, 340, 7531, 258, 28859, 507, 351, 12571, 495, 28098, 420, 365, 350, 417, 509, 374, 419, 350, 478, 27730, 18263, 510, 454, 5035, 9906, 24998, 2567, 476, 1948, 20465, 18809, 23989, 419, 353, 374, 14756, 356, 19867, 379, 30678, 417, 497, 359, 14748, 32352, 267, 15953, 19867, 478, 20069, 32352, 421, 25693, 25263, 504, 14756, 356, 19867, 379, 454, 825, 11090, 815, 834, 22923, 257, 476, 1948, 476, 14756, 495, 27936, 32352, 7511, 31271, 508, 26233, 356, 8147, 19867, 478, 20069, 28098, 420, 365, 350, 421, 25693, 420, 25693, 18777, 379, 25426, 362, 28996, 692, 825, 1219, 6449, 8181, 9191, 1345, 267, 2012, 267, 6060, 2567, 476, 1948, 2332, 476, 21588, 361, 22047, 9463, 480, 12255, 418, 364, 372, 13213, 506, 15159, 1345, 267, 23989, 419, 353, 374, 14395, 508, 28032, 489, 10951, 361, 420, 374, 360, 2676, 1038, 1582, 14857, 4067, 815, 2012, 476, 1948, 6449, 26175, 479, 20069, 31271, 508, 26233, 356, 454, 1038, 1582, 14857, 16557, 815, 6060, 476, 1948, 6449, 26175, 479, 20069, 31271, 508, 26233, 356, 692, 825, 1219, 1205, 12173, 4311, 2187, 1038, 2132, 1582, 14857, 4067, 692, 825, 1219, 1205, 23962, 4311, 2187, 1038, 2132, 1582, 14857, 16557, 692, 825, 1219, 1305, 12173, 4311, 267, 2012, 2187, 1038, 1582, 14857, 4067, 815, 2012, 692, 825, 1219, 1305, 23962, 4311, 267, 6060, 2567, 476, 1948, 476, 30244, 26175, 491, 25913, 25622, 23746, 23284, 28098, 9463, 480, 12255, 13213, 505, 27310, 418, 352, 478, 418, 369, 489, 454, 1038, 952, 476, 271, 10922, 6060, 10922, 476, 1911, 912, 2018, 1582, 14857, 16557, 815, 6060, 454, 1038, 3116, 912, 2018, 6318, 28759, 3488, 21112, 6060, 17210, 825, 1219, 1820, 23962, 4311, 2187, 1038, 1820, 2891, 260, 338, 4939, 338, 257, 4939, 630, 1345, 14857, 4067, 267, 1582, 14857, 16557, 11723, 825, 1219, 1205, 318, 14079, 4311, 2187, 1038, 952, 1582, 14857, 16557, 13843, 476, 3445, 912, 2018, 2132, 1412, 288, 7055, 1038, 8640, 1582, 14857, 16557, 13843, 476, 2568, 912, 2018, 2132, 1412, 289, 7055, 1038, 3116, 912, 2018, 2132, 1412, 290, 262, 7531, 5035, 10960, 24998, 2187, 825, 1219, 2196, 4311, 2187, 1038, 1820, 2891, 27154, 568, 4881, 2807, 257, 9239, 5035, 13928, 263, 27154, 2567, 476, 1948, 476, 14756, 356, 19867, 379, 32352, 454, 825, 1219, 2196, 4311, 2187, 1038, 1820, 2891, 291, 690, 568, 4881, 29389, 9239, 5035, 9697, 263, 27154, 2187, 825, 1219, 2196, 4311, 2187, 1038, 1820, 2891, 29272, 568, 4881, 29389, 9239, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1820, 2891, 322, 718, 476, 4970, 375, 16583, 30936, 5602, 825, 1820, 263, 22923, 6745, 698, 264, 476, 1948, 13127, 362, 508, 28032, 489, 31271, 508, 26233, 356, 25263, 502, 10429, 486, 419, 374, 356, 421, 360, 502, 30678, 32352, 31271, 508, 26233, 356, 454, 825, 1948, 476, 21251, 28884, 28098, 14395, 508, 28032, 489, 31271, 508, 26233, 356, 25520, 32352, 31271, 508, 26233, 356, 12916, 379, 17958, 25203, 372, 12571, 490, 7511, 12571, 491, 21211, 8147, 12571, 355, 10254, 503, 16533, 484, 11590, 356, 13200, 509, 421, 504, 378, 23284, 9463, 495, 27064, 364, 7511, 421, 498, 503, 13644, 363, 25707, 825, 2915, 815, 13928, 4590, 825, 3032, 815, 9697, 4590, 825, 2915, 269, 14725, 4590, 825, 3032, 269, 14725, 4590, 825, 1820, 2891, 24801, 955, 268, 5602, 825, 1948, 1826, 7511, 12916, 379, 17958, 281, 14395, 481, 13213, 498, 18713, 508, 28098, 18021, 498, 7511, 12218, 32352, 417, 508, 489, 454, 825, 1820, 263, 6943, 5560, 690, 4917, 825, 1948, 568, 27349, 476, 10254, 353, 13161, 511, 15159, 12571, 355, 10524, 492, 31271, 508, 32352, 10254, 360, 2676, 825, 1820, 263, 529, 27349, 6262, 520, 267, 10960, 4917, 825, 1948, 476, 13213, 502, 23746, 23284, 10254, 353, 13161, 511, 22047, 9463, 502, 19404, 493, 15159, 12571, 355, 15159, 418, 509, 494, 11590, 505, 32352, 417, 508, 489, 18809, 7511, 13601, 26175, 491, 8147, 30006, 498, 417, 28187, 31284, 30837, 351, 7511, 28786, 419, 510, 479, 16533, 365, 23746, 23284, 10254, 353, 13161, 511, 15159, 12571, 355, 15159, 4289, 16043, 500, 26033, 483, 14654, 921, 454, 825, 1820, 263, 529, 27349, 8443, 272, 267, 476, 273, 267, 476, 274, 3910, 630, 4289, 267, 24042, 21875, 825, 1948, 29635, 492, 371, 23523, 501, 22047, 28098, 420, 365, 350, 7511, 19867, 478, 20069, 31271, 508, 26233, 356, 25520, 25913, 25622, 267, 23746, 23284, 12916, 379, 17958, 323, 597, 3890, 16583, 30936, 267, 14395, 481, 13213, 498, 18713, 508, 22047, 25060, 483, 12571, 360, 21211, 31033, 4970, 366, 7511, 4289, 454, 825, 1820, 5560, 597, 263, 27154, 4917, 825, 1948, 814, 3430, 337, 263, 28128, 267, 1412, 343, 10807, 10254, 353, 13161, 511, 28098, 420, 365, 350, 20069, 343, 31271, 508, 26233, 356, 12571, 501, 454, 825, 1948, 1305, 3430, 337, 263, 28128, 267, 1412, 344, 3299, 476, 866, 264, 476, 14756, 503, 28098, 420, 365, 350, 18777, 378, 419, 377, 362, 22047, 344, 29219, 20992, 866, 454, 825, 1948, 1205, 3430, 337, 263, 28128, 267, 1412, 344, 10807, 29635, 492, 371, 23523, 501, 28098, 420, 365, 350, 31271, 508, 26233, 356, 20992, 344, 7511, 29219, 454, 0, 258, 28605, 8193, 281, 583, 325, 268, 279, 20609, 8894, 258, 13127, 485, 30936, 19764, 493, 419, 376, 500, 31801, 489, 18263, 489, 421, 360, 502, 421, 502, 370, 16583, 30936, 454, 5228, 1187, 551, 8962, 1104, 2569, 7531, 3698, 535, 3287, 2187, 825, 2132, 1535, 2608, 1535, 7531, 3698, 1039, 3287, 267, 586, 2187, 825, 2132, 1535, 1341, 586, 7531, 3698, 568, 318, 15957, 3799, 2187, 825, 2132, 562, 4939, 476, 273, 2652, 476, 272, 7531, 258, 4786, 3890, 4970, 353, 14748, 9463, 480, 12255, 281, 476, 22047, 325, 267, 22047, 296, 614, 762, 267, 418, 488, 488, 296, 614, 762, 18809, 7511, 30006, 493, 14748, 30317, 27381, 510, 421, 25693, 19867, 356, 27310, 325, 267, 31006, 12571, 492, 13213, 498, 18713, 508, 296, 614, 1807, 454, 337, 815, 4786, 6600, 267, 1496, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 267, 476, 278, 267, 476, 279, 267, 476, 280, 8079, 476, 1948, 476, 13213, 498, 18713, 508, 7511, 15159, 296, 614, 1807, 418, 481, 364, 26233, 356, 31365, 28578, 8147, 17958, 4289, 18777, 350, 28997, 501, 24731, 23521, 354, 454, 2745, 17338, 16868, 11723, 258, 2569, 3890, 4970, 353, 14748, 9463, 480, 12255, 267, 12571, 490, 14090, 267, 418, 488, 488, 14756, 497, 31563, 14756, 356, 14756, 511, 25520, 31365, 28578, 7511, 31284, 22047, 30317, 27381, 510, 417, 479, 504, 27381, 363, 26175, 363, 18777, 350, 28997, 501, 454, 2745, 263, 516, 706, 576, 263, 5417, 267, 1496, 272, 267, 476, 274, 267, 476, 276, 267, 476, 278, 267, 476, 280, 8079, 2020, 258, 6882, 3890, 18263, 509, 26406, 354, 9463, 501, 22047, 16583, 30936, 25520, 22047, 31365, 28578, 13213, 498, 18713, 508, 7511, 15159, 22047, 296, 614, 1807, 267, 418, 488, 488, 25263, 510, 24662, 7511, 16583, 30936, 28032, 507, 418, 361, 350, 30853, 17958, 30678, 30006, 493, 14748, 30317, 27381, 510, 8147, 454, 258, 22614, 482, 370, 12571, 492, 21550, 373, 29004, 362, 13213, 498, 18713, 508, 29219, 15159, 12148, 13213, 502, 15159, 16178, 19540, 367, 27936, 32517, 507, 419, 499, 503, 13213, 502, 15159, 4970, 351, 19764, 481, 13644, 354, 30317, 27381, 510, 25707, 2745, 17338, 6600, 559, 614, 263, 529, 318, 15957, 267, 1496, 272, 267, 476, 273, 267, 476, 275, 267, 476, 276, 267, 476, 277, 267, 476, 280, 267, 476, 1015, 267, 476, 1428, 316, 4297, 2020, 258, 17276, 492, 496, 31365, 28997, 501, 25622, 338, 9285, 19572, 23746, 23284, 26406, 354, 418, 498, 370, 22047, 4486, 16583, 30936, 23521, 354, 14395, 508, 27064, 364, 420, 485, 359, 27936, 18263, 487, 7511, 26406, 496, 31365, 454, 2745, 4433, 9285, 8443, 3607, 267, 476, 276, 267, 910, 1321, 267, 476, 280, 267, 910, 2641, 3910, 1883, 284, 11274, 4917, 2745, 4433, 9285, 8443, 262, 321, 984, 3299, 1412, 12671, 3299, 1412, 313, 5622, 3299, 1412, 290, 13072, 28710, 1883, 284, 1598, 31573, 4917, 2745, 4433, 9285, 8443, 262, 321, 984, 3299, 1412, 12671, 3299, 1412, 313, 5622, 3299, 1412, 290, 13072, 28710, 1883, 284, 1598, 31573, 267, 9258, 18989, 4297, 476, 1948, 476, 28884, 13213, 505, 27310, 9463, 491, 12571, 495, 26406, 496, 31365, 8147, 21251, 417, 379, 483, 418, 498, 373, 20693, 357, 4486, 16583, 30936, 8147, 23746, 23284, 25263, 510, 24662, 21588, 361, 4970, 487, 14748, 9463, 480, 12255, 516, 2091, 18989, 454, 0, 16482, 258, 674, 2391, 1133, 545, 1941, 454, 258, 589, 2241, 7061, 3014, 1141, 519, 6345, 814, 547, 8038, 513, 27033, 1941, 547, 519, 14500, 563, 258, 25839, 6388, 630, 12061, 6709, 656, 636, 1916, 258, 692, 5814, 4351, 454, 5814, 2979, 692, 3698, 1205, 11243, 263, 8161, 2187, 476, 4408, 815, 13634, 825, 476, 272, 281, 1412, 20112, 523, 22779, 825, 476, 273, 281, 1412, 8967, 1046, 548, 22779, 825, 476, 274, 281, 1412, 23562, 559, 697, 22779, 825, 476, 275, 281, 1412, 305, 664, 11312, 22779, 825, 476, 276, 281, 1412, 300, 626, 22779, 825, 476, 277, 281, 1412, 289, 578, 22779, 825, 476, 278, 281, 1412, 30208, 22779, 825, 476, 279, 281, 1412, 306, 5652, 22779, 825, 476, 280, 281, 1412, 300, 20723, 22779, 825, 476, 1015, 281, 1412, 303, 31242, 22779, 825, 476, 1556, 281, 1412, 8967, 1679, 22779, 825, 476, 1321, 281, 1412, 300, 6416, 22779, 825, 476, 1724, 281, 1412, 291, 1046, 22779, 825, 476, 1691, 281, 1412, 23409, 22779, 825, 476, 1428, 281, 1412, 290, 3234, 5459, 7055, 476, 7684, 692, 476, 2132, 4408, 10947, 263, 8161, 267, 1412, 7069, 20712, 17210, 3698, 1205, 297, 1168, 601, 263, 8161, 2187, 476, 4408, 815, 13634, 825, 476, 272, 281, 1412, 600, 996, 22438, 22779, 825, 476, 273, 281, 1412, 338, 1952, 10921, 22779, 825, 476, 274, 281, 1412, 655, 14283, 22779, 825, 476, 275, 281, 1412, 329, 1228, 22779, 825, 476, 276, 281, 1412, 745, 2421, 22779, 825, 476, 277, 281, 1412, 9008, 1794, 22779, 825, 476, 278, 281, 1412, 323, 3554, 1180, 22779, 825, 476, 279, 281, 1412, 3258, 6339, 22779, 825, 476, 280, 281, 1412, 701, 22611, 22779, 825, 476, 1015, 281, 1412, 29914, 22779, 825, 476, 1556, 281, 1412, 600, 828, 22779, 825, 476, 1321, 281, 1412, 31842, 9068, 22779, 825, 476, 1724, 281, 1412, 332, 3019, 7723, 22779, 825, 476, 1691, 281, 1412, 32483, 345, 7055, 476, 7684, 692, 476, 2132, 4408, 10947, 263, 8161, 267, 1412, 7069, 20712, 17210, 258, 5192, 519, 4567, 585, 519, 1699, 1533, 540, 519, 27033, 1941, 563, 3698, 4567, 263, 5306, 3363, 2187, 476, 952, 15820, 2652, 476, 271, 912, 825, 2132, 1412, 529, 7996, 585, 596, 593, 519, 2666, 7055, 476, 8640, 15820, 10922, 476, 1911, 912, 825, 2132, 1412, 529, 13735, 9900, 1657, 519, 2666, 7055, 476, 8640 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 12163, 8620, 513, 1599, 602, 7024, 519, 1611, 540, 782, 9704, 780, 7078, 912, 825, 1611, 263, 5655, 264, 2340, 508, 508, 476, 274, 269, 271, 692, 825, 1611, 263, 11277, 3393, 264, 2340, 508, 508, 476, 274, 269, 271, 692, 825, 1611, 263, 26116, 264, 2340, 508, 508, 476, 277, 269, 271, 692, 24687, 912, 825, 910, 9577, 1058, 2141, 2132, 10581, 454, 20701, 454, 3698, 1611, 5560, 580, 1080, 2187, 825, 1193, 5091, 580, 1080, 815, 1193, 5560, 580, 1080, 994, 825, 8237, 5091, 580, 1080, 815, 11713, 825, 585, 546, 25885, 538, 1193, 5091, 580, 1080, 912, 1038, 703, 5091, 25885, 815, 703, 5560, 25885, 994, 1038, 8237, 5091, 580, 1080, 6910, 17301, 5091, 25885, 994, 825, 2132, 4433, 636, 4433, 5902, 5091, 580, 1080, 8358, 7003, 4433, 5902, 5091, 580, 1080, 4297, 0, 3698, 1292, 10031, 825, 513, 815, 703, 9272, 3890, 11850, 825, 536, 815, 703, 9272, 3890, 11850, 825, 2855, 815, 11713, 825, 5187, 539, 580, 1080, 5416, 14720, 267, 1551, 994, 825, 952, 7003, 19906, 264, 11203, 476, 271, 912, 1038, 1820, 19906, 2020, 3698, 5187, 539, 580, 1080, 5416, 14720, 267, 1551, 2187, 825, 2119, 912, 1038, 952, 513, 2999, 476, 271, 610, 536, 2999, 476, 271, 912, 2018, 14827, 263, 272, 994, 1038, 585, 1003, 538, 2039, 5416, 267, 536, 1341, 476, 272, 2187, 2018, 952, 1003, 3436, 476, 272, 912, 3546, 585, 1775, 538, 2039, 263, 273, 267, 1003, 2187, 7386, 952, 1003, 4939, 1775, 2652, 476, 271, 912, 13376, 2736, 454, 3546, 3116, 912, 7386, 2855, 6910, 16325, 994, 1038, 952, 7003, 19906, 264, 2652, 476, 271, 912, 2018, 14827, 263, 272, 2020, 825, 4849, 912, 11434, 6318, 1401, 4003, 2891, 5591, 26594, 14707, 1080, 15419, 825, 2132, 2855, 454, 0, 12163, 26594, 3705, 614, 7598, 519, 12980, 4082, 15410, 540, 454, 1492, 1893, 4330, 538, 3848, 476, 272, 540, 15656, 918, 3133, 781, 12813, 296, 10621, 1433, 1496, 272, 14073, 1607, 5124, 3009, 568, 8185, 6273, 676, 8834, 7439, 341, 580, 781, 561, 529, 18258, 1496, 273, 16689, 8117, 1281, 711, 2119, 547, 581, 607, 13801, 780, 314, 272, 316, 15656, 918, 3133, 267, 834, 25284, 2719, 19932, 267, 1323, 3955, 2181, 614, 15369, 13979, 20350, 825, 5410, 2581, 8862, 525, 2917, 267, 7335, 267, 10790, 267, 476, 1960, 271, 269, 9768, 476, 271, 268, 1001, 268, 6187, 279, 2190, 268, 280, 563, 314, 273, 316, 5291, 2517, 24335, 341, 580, 2593, 270, 5894, 6853, 11258, 692, 8042, 293, 540, 713, 9910, 25082, 1384, 283, 10339, 1833, 285, 26012, 284, 2999, 15759, 518, 11417, 25639, 1923, 25464, 319, 2999, 28072, 285, 2999, 10339, 1833, 285, 265, 2387, 23375, 454, 283, 28072, 285, 567, 26012, 284, 2387, 266, 319, 1923, 2387, 268, 319, 1923, 2387, 265, 319, 1923, 2387, 270, 319, 454, 283, 15759, 518, 285, 825, 26012, 284, 5311, 540, 9704, 267, 7654, 28263, 676, 910, 610, 1341, 692, 20701, 5814, 10070, 454, 5814, 11346, 454, 5814, 19523, 692, 12702, 3951, 318, 4596, 12613, 13263, 815, 29717, 336, 262, 7531, 5035, 3955, 2181, 614, 13286, 263, 2750, 4003, 2187, 825, 5727, 10090, 545, 3705, 614, 5470, 20701, 825, 1219, 6449, 8181, 9191, 1345, 267, 1871, 22561, 2187, 1038, 1582, 27841, 815, 1871, 692, 825, 1219, 6449, 1598, 9191, 1345, 2187, 1038, 20444, 326, 815, 1582, 14857, 5035, 1029, 14857, 25269, 1029, 454, 1038, 952, 1582, 27841, 568, 711, 7183, 912, 2018, 20444, 326, 815, 20444, 326, 25331, 29328, 2891, 23528, 2018, 20444, 326, 6834, 834, 281, 834, 1341, 1065, 337, 4311, 27841, 264, 1341, 834, 4799, 1038, 2132, 20444, 326, 7531, 5035, 17023, 17484, 8170, 19152, 263, 11328, 2181, 614, 13286, 2187, 825, 5727, 308, 10811, 4624, 1439, 540, 3403, 27969, 7531, 5035, 17023, 5141, 846, 303, 13873, 263, 11328, 2181, 614, 13286, 2187, 825, 5727, 308, 10811, 4624, 1412, 264, 262, 27969, 7531, 5035, 32148, 23330, 1807, 263, 11328, 2181, 614, 13286, 2187, 825, 5727, 4462, 4385, 11346, 27969, 7531, 5035, 16214, 13286, 263, 11328, 2181, 614, 13286, 2187, 825, 5727, 17653, 545, 6268, 5470, 27969, 7531, 5035, 7358, 1807, 8253, 24445, 762, 263, 24066, 6672, 13286, 2187, 825, 5727, 23330, 1807, 568, 711, 1289, 762, 27969, 7531, 5035, 715, 1638, 2750, 16054, 263, 24066, 6672, 13286, 2187, 825, 5727, 301, 1638, 4082, 27969, 7531, 5035, 31932, 26855, 2163, 263, 24066, 6672, 13286, 2187, 825, 5727, 8253, 2614, 7440, 585, 11346, 27969, 7531, 5035, 18320, 6624, 26855, 3701, 263, 24066, 6672, 13286, 2187, 825, 5727, 32451, 1082, 7440, 585, 11346, 27969, 7531, 5035, 769, 20777, 23330, 1807, 263, 24066, 6672, 13286, 2187, 825, 5727, 1103, 20777, 11346, 27969, 7531, 3698, 18351, 1125, 4433, 1830, 6831, 1712, 2187, 825, 5727, 3519, 3200, 5569, 883, 513, 1592, 540, 21797, 27969, 454, 825, 2132, 2707, 6831, 1712, 18622, 2897, 2891, 263, 2580, 834, 630, 834, 1040, 516, 2897, 2891, 264, 2580, 834, 3738, 834, 1040, 20889, 30800, 3698, 1612, 572, 6025, 758, 839, 2187, 825, 5727, 5649, 21797, 2679, 16571, 1947, 29005, 7215, 27969, 454, 825, 2119, 912, 1038, 18351, 815, 21797, 21014, 263, 271, 994, 825, 4849, 12039, 13286, 607, 2300, 912, 1038, 6318, 17023, 17484, 8170, 19152, 3890, 689, 2300, 454, 825, 952, 18351, 2652, 834, 2891, 281, 476, 1948, 521, 22325, 454, 1038, 4230, 815, 11713, 1038, 952, 7003, 6025, 758, 839, 264, 2652, 476, 271, 912, 2018, 6318, 17023, 17484, 8170, 19152, 4590, 1038, 1247, 21797, 314, 271, 316, 11203, 834, 264, 13426, 2018, 4230, 6910, 263, 27785, 6025, 758, 839, 4917, 2018, 952, 7003, 6025, 758, 839, 264, 2652, 476, 271, 912, 3546, 6318, 17023, 17484, 8170, 19152, 4590, 1038, 21797, 21014, 263, 271, 264, 476, 1948, 1402, 1055, 1412, 264, 7055, 1038, 2132, 4230, 454, 825, 8640, 18351, 2652, 834, 264, 13426, 1038, 6318, 17023, 5141, 846, 303, 13873, 4590, 825, 3116, 281, 476, 1948, 2582, 11046, 454, 1038, 2119, 912, 2018, 2132, 703, 6025, 7505, 994, 1038, 4849, 28759, 912, 2018, 2132, 18351, 7531, 23330, 1807, 815, 10070, 8542, 3139, 14654, 921, 2891, 23330, 1807, 2580, 834, 32188, 1599, 15419, 8008, 2207, 2969, 27633, 815, 1496, 454, 825, 7358, 1807, 2891, 266, 2580, 11346, 14491, 13211, 825, 7358, 1807, 2891, 268, 2580, 11346, 16553, 13211, 825, 7358, 1807, 2891, 265, 2580, 11346, 6230, 592, 13211, 825, 7358, 1807, 2891, 270, 2580, 11346, 269, 4148, 334, 867, 643, 13211, 6540, 8008, 2207, 2969, 3036, 318, 31778, 815, 2715, 641, 269, 32188, 281, 1566, 585, 1566, 538, 20525, 2207, 2969, 27633, 348, 7531, 3698, 6218, 263, 10339, 1833, 2187, 825, 5727, 24280, 519, 1871, 540, 606, 4082, 12163, 825, 952, 568, 27349, 263, 10339, 1833, 267, 703, 2567, 476, 1948, 8870, 454, 1038, 2132, 4082, 454, 825, 8640, 568, 27349, 263, 10339, 1833, 267, 1193, 2567, 476, 1948, 11346, 454, 1038, 2119, 912, 2018, 2132, 20525, 2207, 2969, 3036, 318, 31778, 314, 10339, 1833, 2639, 1038, 4849, 6206, 13286, 607, 2300, 912, 2018, 6318, 32148, 23330, 1807, 263, 10339, 1833, 264, 689, 2300, 454, 825, 3116, 281, 476, 1948, 3818, 12268, 4082, 454, 1038, 952, 7003, 263, 10339, 1833, 264, 2652, 476, 271, 912, 2018, 6318, 715, 1638, 2750, 16054, 4590, 1038, 2694, 815, 1496, 24834, 10663, 4433, 889, 10339, 264, 585, 1016, 10339, 538, 4082, 2639, 1038, 1566, 815, 2694, 21014, 263, 271, 994, 1038, 952, 568, 27349, 263, 641, 267, 7358, 1807, 2187, 2018, 952, 7003, 263, 30672, 264, 2652, 476, 273, 912, 3546, 2415, 272, 267, 2415, 273, 815, 2694, 454, 3546, 2132, 1566, 8807, 4233, 263, 1173, 272, 267, 2415, 273, 994, 2018, 8640, 7003, 263, 30672, 264, 2999, 476, 273, 912, 3546, 6318, 31932, 26855, 2163, 263, 641, 269, 32188, 994, 2018, 3116, 912, 3546, 6318, 18320, 6624, 26855, 3701, 263, 641, 269, 32188, 994, 1038, 3116, 912, 2018, 6318, 769, 20777, 23330, 1807, 263, 641, 9239, 3698, 4562, 10031, 825, 5401, 815, 1412, 285, 7055, 825, 533, 2056, 318, 6050, 815, 11713, 825, 1820, 6600, 31415, 334, 14827, 267, 1826, 281, 2715, 12702, 3951, 318, 4596, 12613, 13263, 348, 3299, 3758, 284, 338, 903, 14714, 1457, 337, 994, 825, 1247, 6936, 912, 1038, 1948, 23084, 30668, 3367, 454, 1038, 2119, 912, 2018, 1699, 815, 3403, 9638, 668, 696, 1341, 1412, 1412, 1040, 29328, 3488, 30386, 1038, 4849, 661, 29996, 13286, 912, 2018, 2736, 454, 1038, 952, 1699, 2652, 19532, 3951, 318, 4596, 12613, 13263, 912, 2018, 2736, 454, 1038, 952, 1699, 2652, 1412, 12466, 2018, 5401, 815, 1412, 1862, 7055, 2018, 3136, 454, 1038, 533, 2056, 318, 6050, 6910, 263, 9690, 994, 1038, 1948, 23084, 30668, 3474, 572, 454, 1038, 2707, 815, 1412, 29717, 21860, 9638, 2056, 318, 6050, 994, 1038, 1163, 337, 815, 7183, 454, 1038, 2119, 912, 2018, 1163, 337, 815, 1612, 572, 6025, 7505, 1125, 4433, 1830, 4917, 1038, 4849, 17023, 17484, 8170, 19152, 912, 2018, 5401, 815, 1412, 1862, 7055, 2018, 3136, 454, 1038, 4849, 17023, 5141, 846, 303, 13873, 607, 2300, 912, 2018, 1820, 6600, 262, 256, 2715, 1410, 322, 348, 5073, 1038, 1948, 23084, 30668, 21414, 1299, 7179, 454, 1038, 952, 1163, 337, 568, 711, 7183, 912, 2018, 2119, 912, 3546, 1267, 815, 6218, 263, 1410, 1440, 994, 2018, 4849, 20023, 19667, 1707, 13286, 912, 3546, 1820, 3488, 256, 10406, 676, 4642, 269, 5073, 2018, 4849, 630, 4462, 4385, 23330, 1807, 267, 769, 20777, 23330, 1807, 2676, 7386, 31932, 26855, 2163, 267, 18320, 6624, 26855, 3701, 2676, 7386, 3738, 607, 2300, 912, 3546, 1820, 6600, 262, 256, 2715, 1410, 322, 348, 5073, 2018, 3116, 912, 3546, 1820, 31114, 994, 1038, 5401, 815, 1412, 285, 7055, 1038, 533, 2056, 318, 6050, 815, 11713, 1038, 1948, 23084, 30668, 31230, 7531, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 4562, 4590, 0, 333, 25507, 9272, 3488, 1692, 1082, 2474, 281, 1412, 4917, 343, 284, 271, 454, 344, 284, 272, 454, 2745, 3287, 267, 754, 284, 5257, 264, 825, 454, 8999, 284, 271, 454, 6112, 562, 268, 272, 285, 271, 281, 825, 1948, 2026, 649, 9102, 513, 1297, 1354, 267, 865, 649, 946, 630, 333, 268, 272, 264, 3097, 825, 1535, 284, 344, 454, 825, 586, 284, 8999, 454, 825, 2040, 24210, 20742, 454, 825, 562, 268, 284, 272, 454, 825, 1820, 3488, 22207, 8999, 267, 754, 8782, 5073, 0, 14725, 7272, 272, 25507, 9272, 2891, 11767, 519, 2196, 20639, 540, 26761, 476, 272, 538, 476, 2568, 11084, 2433, 27363, 14725, 7272, 273, 25507, 9272, 2891, 11767, 519, 2196, 20639, 540, 26761, 476, 273, 538, 476, 2568, 11084, 2433, 27363, 14725, 7272, 274, 25507, 9272, 2891, 11767, 519, 2196, 20639, 540, 26761, 476, 274, 538, 476, 2568, 11084, 2433, 27363, 560, 20891, 4733, 272, 284, 14725, 7272, 272, 2608, 476, 1911, 270, 2568, 454, 560, 20891, 4733, 273, 284, 14725, 7272, 273, 2608, 476, 1911, 270, 2568, 454, 560, 20891, 4733, 274, 284, 14725, 7272, 274, 2608, 476, 1911, 270, 2568, 454, 2745, 2891, 1805, 686, 651, 2557, 540, 26761, 476, 272, 2433, 2580, 560, 20891, 4733, 272, 994, 2745, 2891, 1805, 686, 651, 2557, 540, 26761, 476, 273, 2433, 2580, 560, 20891, 4733, 273, 994, 2745, 2891, 1805, 686, 651, 2557, 540, 26761, 476, 274, 2433, 2580, 560, 20891, 4733, 274, 994, 2745, 2891, 305, 684, 20639, 676, 26761, 476, 272, 538, 811, 476, 2568, 11084, 2433, 2580, 14725, 7272, 272, 2608, 273, 994, 2745, 2891, 305, 684, 20639, 676, 26761, 476, 273, 538, 811, 476, 2568, 11084, 2433, 2580, 14725, 7272, 273, 2608, 273, 994, 2745, 2891, 305, 684, 20639, 676, 26761, 476, 274, 538, 811, 476, 2568, 11084, 2433, 2580, 14725, 7272, 274, 2608, 273, 994, 2745, 2891, 16655, 3065, 3670, 525, 5734, 1540, 676, 26761, 476, 272, 2433, 2580, 14725, 7272, 272, 2260, 277, 994, 2745, 2891, 16655, 3065, 3670, 525, 5734, 1540, 676, 26761, 476, 273, 2433, 2580, 14725, 7272, 273, 2260, 277, 994, 2745, 2891, 16655, 3065, 3670, 525, 5734, 1540, 676, 26761, 476, 274, 2433, 2580, 14725, 7272, 274, 2260, 277, 994, 0, 5814, 8848, 7531, 3698, 4647, 318, 31688, 657, 10031, 825, 8173, 825, 901, 1599, 1205, 689, 23641, 476, 273, 6724, 912, 825, 910, 1883, 30087, 454, 825, 910, 1297, 540, 6337, 692, 825, 2132, 912, 825, 24042, 540, 1883, 2262, 543, 1297, 540, 6337, 454, 825, 8173, 825, 1883, 29999, 815, 834, 4840, 825, 1100, 318, 31688, 657, 815, 476, 271, 692, 825, 1883, 29999, 815, 3403, 2891, 15507, 1883, 2914, 3581, 281, 834, 2020, 825, 1247, 6936, 912, 1038, 1100, 318, 31688 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 649, 3513, 2263, 930, 540, 519, 1655, 1806, 540, 5726, 25700, 18792, 543, 2015, 875, 789, 666, 948, 721, 1628, 513, 1732, 2104, 585, 1312, 3425, 543, 2831, 780, 6637, 476, 276, 910, 7335, 9737, 519, 20514, 281, 22718, 10960, 12267, 585, 1546, 4177, 6399, 902, 692, 4263, 1101, 16145, 267, 1453, 781, 2835, 827, 2831, 1522, 3100, 2241, 543, 3551, 269, 1809, 2390, 6251, 6514, 267, 1082, 540, 891, 2984, 2270, 4514, 10096, 543, 4798, 602, 666, 581, 9916, 543, 8268, 538, 3152, 3178, 269, 769, 713, 3184, 267, 649, 3513, 1491, 513, 6251, 1413, 693, 1896, 2442, 1453, 781, 2835, 10023, 2831, 543, 2015, 1018, 789, 666, 4001, 721, 827, 3584, 971, 607, 11505, 267, 22838, 267, 543, 16177, 269, 3414, 6297, 2079, 543, 7664, 267, 649, 3513, 10625, 519, 6456, 6106, 540, 2495, 1369, 891, 11537, 8941, 780, 6637, 476, 277, 910, 10960, 19264, 817, 611, 832, 281, 1215, 623, 1115, 543, 4033, 12660, 542, 12292, 2037, 5341, 3776, 22032, 692, 303, 1115, 543, 824, 13959, 2831, 3180, 513, 2027, 1747, 538, 938, 12271, 269, 6787, 621, 781, 513, 10121, 2915, 267, 513, 524, 3291, 569, 3032, 267, 610, 513, 22488, 1612, 8527, 267, 891, 7068, 3142, 7772, 267, 4313, 267, 543, 31070, 547, 1004, 1472, 519, 1158, 269, 769, 713, 3184, 267, 649, 3513, 2263, 519, 2189, 6125, 1063, 3425, 543, 2831, 543, 2015, 875, 10130, 543, 824, 13959, 2831, 10802, 938, 2729, 538, 16221, 2081, 269, 3245, 2168, 1072, 2640, 547, 3929, 8171, 267, 519, 2318, 5222, 540, 891, 3347, 3112, 581, 896, 26061, 780, 6637, 476, 278, 910, 10960, 27469, 281, 11622, 725, 9737, 18972, 543, 12292, 538, 3203, 267, 3163, 267, 543, 15332, 692, 2691, 3425, 543, 2831, 2097, 1927, 267, 5863, 1919, 666, 4755, 269, 3245, 10319, 1148, 3785, 547, 14262, 3621, 1382, 267, 12352, 1063, 3425, 543, 2831, 723, 3366, 547, 6909, 8906, 543, 10124, 2429, 1686, 269, 769, 713, 3184, 267, 649, 3513, 2263, 930, 540, 519, 1034, 8037, 1806, 540, 1480, 12845, 2711, 5698, 543, 2015, 1018, 789, 666, 4001, 721, 827, 519, 1379, 540, 2324, 1927, 2509, 513, 1455, 3804, 780, 6637, 476, 279, 910, 10390, 281, 16871, 519, 7591, 6888, 543, 20717, 540, 519, 10960, 8003, 692, 2026, 649, 3914, 519, 3932, 540, 713, 1576, 267, 649, 4126, 602, 596, 4312, 6591, 513, 1007, 7071, 585, 519, 13300, 540, 519, 3662, 10806, 543, 519, 1909, 602, 9644, 4249, 538, 519, 2729, 540, 1082, 2249, 269, 3245, 22488, 28516, 547, 28617, 737, 809, 629, 584, 6652, 267, 519, 2067, 1158, 568, 4904, 609, 17409, 543, 1769, 27329, 1145, 269, 1306, 649, 1847, 4464, 267, 1577, 721, 11441, 547, 9784, 519, 1404, 6888, 543, 7772, 540, 519, 3662, 10806, 543, 960, 2509, 2870, 513, 17321, 267, 811, 17519, 2104, 585, 782, 2713, 7919, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 9596, 1299, 23590, 269, 7179, 621, 1055, 267, 7990, 621, 538, 543, 1711, 707, 1378, 13021, 9633, 269, 6423, 938, 2376, 827, 519, 8375, 8560, 7678, 540, 13812, 654, 10248, 538, 519, 23642, 22811, 269, 23095, 281, 4239, 476, 1015, 267, 476, 1001, 274, 269, 18917, 13812, 18225, 568, 707, 3391, 547, 519, 2067, 1158, 267, 15386, 519, 4898, 543, 5898, 540, 7320, 907, 3962, 3390, 649, 786, 1683, 596, 609, 4241, 2934, 2854, 676, 938, 7320, 4966, 267, 4901, 540, 519, 5767, 5726, 543, 2825, 2152, 267, 8366, 20421, 10344, 267, 17118, 543, 19194, 267, 543, 1454, 811, 269, 634, 13812, 11565, 338, 281, 27986, 13812, 585, 519, 8892, 269, 13812, 10963, 543, 1480, 2924, 28407, 20575, 15990, 3150, 10068, 8043, 267, 1212, 9749, 2161, 269, 634, 13812, 11565, 338, 1413, 1310, 476, 273, 267, 4968, 2470, 14425, 2066, 519, 5177, 269, 634, 6288, 568, 519, 4102, 7320, 25113, 538, 519, 2475, 269, 13812, 13772, 568, 519, 21738, 7936, 540, 634, 13812, 11565, 338, 256, 700, 1508, 909, 707, 23794, 273, 2296, 4245, 543, 1020, 707, 1053, 685, 2542, 1983, 609, 938, 9735, 3662, 2542, 8223, 2534, 782, 827, 7320, 593, 938, 7450, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 670, 9331, 3036, 1315, 13445, 1315, 12292, 1315, 13812, 654, 871, 1465, 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, 476, 273, 269, 272, 1215, 1684, 1284, 5269, 8535, 2060, 14464, 11106, 2496, 2026, 649, 5490, 4514, 883, 519, 10167, 540, 2575, 543, 5841, 4987, 630, 9590, 1070, 621, 781, 1898, 547, 1174, 875, 3642, 666, 5352, 610, 4217, 538, 2870, 2575, 269, 769, 2487, 1296, 267, 972, 814, 1044, 606, 16411, 540, 1719, 538, 1210, 3642, 6620, 547, 17492, 267, 6582, 267, 543, 1685, 2575, 269, 901, 1016, 15492, 7710, 1585, 4485, 547, 1818, 2575, 609, 3642, 543, 11828, 741, 6286, 585, 12372, 267, 19700, 267, 543, 2486, 607, 513, 2898, 780, 17653, 908, 8535, 2060, 27122, 454, 29432, 4263, 922, 4295, 267, 10451, 2575, 3322, 2870, 3270, 267, 2436, 998, 2241, 17279, 610, 811, 1950, 3889, 971, 607, 16147, 3356, 687, 610, 24754, 7648, 269, 7216, 8942, 693, 2780, 24378, 2575, 16941, 8185, 593, 5690, 545, 5888, 9789, 1184, 540, 10747, 3652, 543, 10148, 585, 7574, 2609, 543, 1287, 15603, 519, 3684, 3132, 3280, 1759, 593, 891, 6724, 780, 3080, 5929, 1383, 540, 5690, 545, 5888, 568, 594, 2335, 529, 2473, 523, 752, 529, 262, 24505, 2975, 1062, 267, 2919, 538, 519, 3735, 476, 3192, 271, 338, 269, 4635, 21370, 3403, 3457, 267, 25803, 1223, 2721, 3515, 8204, 1114, 3344, 540, 513, 4062, 267, 799, 1131, 1287, 581, 12261, 883, 4992, 676, 519, 2780, 269, 2755, 25229, 21747, 3379, 547, 2221, 781, 4441, 267, 24505, 2975, 7152, 519, 1761, 585, 5904, 547, 5351, 538, 519, 3860, 1184, 543, 8118, 909, 1007, 7399, 585, 17634, 543, 3408, 1369, 5907, 2575, 780, 5415, 5063, 267, 3173, 723, 1031, 4460, 990, 11800, 12544, 1826, 540, 8579, 2203, 1419, 4294, 538, 2067, 1893, 4393, 23121, 5352, 17396, 9696, 540, 4967, 1759, 593, 30966, 17831, 269, 1635, 7421, 4540, 4773, 540, 2575, 267, 891, 3631, 1451, 519, 10171, 540, 1978, 13289, 1063, 8486, 2583, 267, 546, 15342, 267, 610, 824, 7574, 2934, 543, 666, 13604, 5352, 3209, 9696, 20170, 547, 2147, 3270, 780, 28308, 4804, 22604, 454, 10900, 692, 4407, 4341, 2861, 1949, 2709, 930, 4110, 540, 1852, 936, 519, 6383, 3977, 267, 789, 4043, 547, 3668, 8356, 766, 543, 2769, 4369, 269, 1677, 2232, 891, 7687, 267, 2620, 1565, 2553, 6273, 676, 8849, 5121, 723, 7153, 607, 3532, 2645, 585, 2575, 5108, 269, 1452, 2409, 5512, 6191, 547, 1451, 689, 5318, 14449, 540, 8301, 19827, 610, 12572, 11269, 630, 7945, 607, 631, 2839, 296, 6119, 264, 1510, 12799, 5752, 1169, 1469, 780, 3519, 23728, 531, 22532, 17978, 630, 290, 13585, 338, 264, 543, 1234, 9690, 22532, 17978, 630, 305, 13585, 338, 264, 616, 1079, 2442, 25121, 6964, 585, 2575, 5108, 4247, 269, 23711, 338, 14133, 693, 25935, 21712, 4183, 11269, 689, 6378, 20695, 11378, 267, 1818, 873, 5078, 585, 1362, 4328, 610, 13321, 2110, 12612, 540, 8301, 1239, 269, 11531, 267, 681, 13585, 338, 666, 6023, 18615, 1344, 676, 4509, 4835, 2829, 602, 7001, 2796, 2066, 942, 3268, 267, 7175, 873, 547, 5659, 3476, 15102, 543, 5352, 26363, 2585, 725, 1759, 593, 4121, 3270, 780, 288, 8037, 3498, 540, 2620, 1565, 547, 2575, 5108, 568, 5616, 7395, 31980, 781, 23081, 517, 564, 2203, 267, 799, 3096, 8920, 730, 5996, 30055, 543, 15895, 4296, 547, 30075, 4874, 874, 4577, 14440, 23964, 2047, 689, 6151, 8301, 5951, 13257, 269, 6271, 1383, 568, 7046, 9590, 781, 631, 2224, 15187, 267, 513, 1804, 8397, 30462, 2203, 5827, 540, 6721, 3818, 2987, 11584, 11365, 15885, 17364, 2789, 11964, 543, 6163, 780, 30655, 894, 5274, 5336, 22389, 23531, 454, 5785, 15365, 19741, 4628, 12747, 2575, 5137, 267, 3642, 666, 849, 4196, 607, 513, 3523, 1807, 538, 1480, 2173, 22389, 12352, 1141, 1312, 9988, 3565, 8449, 547, 519, 3803, 1587, 269, 6270, 7653, 1450, 5159, 547, 2263, 17946, 14975, 11182, 1247, 20808, 7499, 8116, 543, 9837, 1275, 780, 2304, 3879, 13577, 1383, 2501, 689, 4591, 569, 4173, 526, 517, 781, 17581, 11550, 15674, 630, 1001, 280, 1070, 13296, 1352, 21821, 539, 519, 948, 540, 1975, 11921, 30867, 3642, 11769, 8036, 593, 1200, 5639, 23121, 7119, 538, 519, 3860, 1184, 269, 3414, 1483, 6066, 5872, 1282, 2661, 12644, 267, 1975, 11921, 15527, 547, 4173, 526, 517, 781, 13465, 543, 26203, 922, 1378, 13047, 3074, 267, 4611, 538, 6422, 543, 6397, 4093, 602, 13934, 2757, 18765, 540, 4589, 1222, 543, 5876, 780, 3412, 4124, 543, 12694, 454, 10900, 14945, 763, 4473, 540, 3642, 24378, 2575, 12651, 1896, 2055, 3823, 5169, 1275, 267, 9562, 267, 543, 2686, 1871, 269, 1403, 513, 3684, 7472, 513, 4062, 540, 2575, 267, 945, 22595, 519, 2924, 547, 621, 286, 2052, 1148, 2813, 676, 1875, 25993, 8069, 5963, 581, 2808, 3312, 286, 1656, 1018, 1764, 1522, 891, 7835, 723, 593, 3964, 2853, 1369, 519, 2575, 2872, 2496, 12234, 267, 5683, 4145, 4478, 11413, 543, 12477, 1590, 581, 9619, 269, 1306, 3642, 3587, 5051, 7471, 883, 938, 2729, 267, 4180, 602, 3755, 1174, 875, 3664, 616, 1500, 543, 666, 16311, 5732, 5739, 4093, 3788, 14063, 269, 18601, 891, 2591, 3340, 5571, 5188, 1063, 9367, 267, 14519, 267, 543, 8639, 7567, 780, 1103, 5758, 267, 1818, 2575, 609, 3642, 3322, 1585, 4485, 8151, 689, 4341, 2861, 6620, 547, 10427, 2620, 1565, 2553, 269, 20985, 3646, 1063, 3425, 543, 6191, 1930, 909, 1007, 18817, 585, 3408, 543, 4082, 267, 2943, 6318, 1271, 2055, 827, 4589, 1222, 267, 5169, 1275, 267, 543, 6848, 2418, 269, 19484, 713, 9687, 5251, 7569, 2565, 6278, 689, 782, 6105, 3238, 269, 0, 2237, 513, 1279, 543, 1360, 2143, 1576, 1770, 585, 513, 1837, 593, 834, 24523, 543, 3642, 834, 5497, 585, 2852, 1053, 563, 2171, 723, 2907, 4988, 3184, 4433, 264, 834, 272, 269, 4985, 257, 543, 616, 1631, 1603, 513, 3184, 593, 834, 273, 269, 10435, 2575, 609, 3642, 8487, 2791, 786, 581, 1603, 519, 1101, 1016, 15492, 585, 713, 3184, 563, 2237, 519, 1007, 1016, 15492, 11331, 834, 273, 269, 272, 269, 1215, 798, 649, 1118, 2575, 609, 5841, 4987, 8119, 1247, 3843, 547, 581, 912, 268, 21004, 910, 596, 1711, 4101, 9499, 602, 3382, 519, 1570, 538, 3178, 563, 268, 12056, 910, 707, 9499, 723, 513, 2239, 9095, 543, 2502, 3159, 267, 899, 519, 1603, 540, 7812, 11066, 563, 268, 11930, 910, 596, 946, 1808, 543, 4052, 1806, 269, 1280, 1383, 267, 952, 519, 1888, 568, 5610, 538, 11810, 267, 1331, 4834, 543, 15997, 540, 519, 1523, 596, 2811, 3450, 269, 1306, 1776, 1383, 267, 952, 519, 1888, 568, 519, 1686, 540, 519, 2136, 2276, 267, 1331, 7389, 267, 4408, 267, 543, 1883, 2621, 563, 8855, 547, 1118, 1543, 6098, 693, 2852, 1053, 267, 945, 949, 723, 930, 13654, 1702, 855, 616, 711, 4966, 538, 519, 2361, 269, 634, 1570, 1058, 581, 2143, 543, 2219, 4538, 269, 0, 17345, 5149, 281, 674, 2801, 7931, 1734, 538, 26135, 9085, 692, 5970, 596, 2479, 4862, 540, 4023, 625, 267, 849, 1634, 607, 535, 2801, 286, 1452, 9589, 7068, 723, 1044, 12286, 538, 1082, 2984, 2429, 1686, 269, 4653, 267, 649, 2811, 2469, 547, 2263, 875, 2413, 4589, 3142, 873, 547, 1272, 538, 4207, 9089, 609, 11509, 4798, 269, 1284, 9153, 596, 3513, 1265, 930, 9159, 2984, 10023, 2178, 267, 11541, 3197, 543, 22539, 9035, 2439, 1432, 3657, 674, 2801, 7931, 1734, 888, 293, 2801, 32741, 9192, 2609, 540, 14810, 543, 15832, 676, 6220, 26704, 7919, 899, 4023, 625, 883, 2648, 2984, 269, 10705, 1305, 538, 16494, 10600, 267, 891, 6386, 13686, 2189, 3347, 1063, 3425, 543, 535, 2801, 267, 610, 1256, 1851, 1114, 5686, 540, 535, 2801, 269, 1306, 596, 949, 7058, 267, 971, 2984, 666, 1291, 547, 9058, 17052, 267, 15180, 1845, 267, 543, 32741, 2439, 3963, 9701, 1411, 5516, 888, 20091, 827, 535, 2801, 32741, 2636, 596, 547, 23365 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2061, 1866, 689, 25305, 519, 3009, 1932, 3362, 267, 596, 991, 547, 3575, 1919, 909, 513, 3787, 811, 269, 1656, 602, 6770, 721, 547, 17279, 543, 8390, 13718, 1262, 8512, 476, 273, 281, 17186, 532, 12085, 5455, 1107, 3115, 564, 819, 1299, 7352, 566, 4373, 5331, 4730, 12404, 7146, 5498, 2131, 1141, 3025, 2141, 554, 1938, 896, 519, 1482, 5127, 1169, 2582, 942, 269, 645, 1681, 267, 3884, 1405, 621, 286, 3807, 899, 15720, 4025, 267, 9479, 1831, 4617, 950, 741, 3270, 10956, 1932, 1454, 269, 1284, 991, 930, 7648, 1369, 519, 10221, 1431, 547, 1832, 1004, 27378, 1247, 1869, 4509, 2614, 11007, 547, 2327, 1620, 780, 1103, 2575, 267, 25803, 899, 3627, 595, 720, 1031, 17279, 543, 8390, 1927, 18991, 269, 5994, 6947, 547, 513, 5152, 936, 543, 936, 1586, 855, 5594, 4657, 1978, 2609, 1142, 942, 269, 1411, 9364, 5431, 2694, 540, 519, 23260, 267, 11733, 267, 610, 10103, 267, 2943, 2611, 7722, 1813, 547, 11029, 3604, 5189, 2059, 519, 1259, 780, 2171, 666, 4019, 2147, 3741, 547, 7794, 938, 5728, 9479, 269, 5502, 540, 23578, 547, 1175, 835, 10230, 4806, 2429, 267, 6467, 1063, 2789, 3283, 281, 5595, 1169, 824, 1297, 267, 1039, 1614, 3079, 540, 1079, 1310, 519, 1101, 2185, 3268, 267, 3092, 269, 1306, 1279, 607, 596, 2226, 4835, 7954, 543, 2671, 519, 3652, 609, 11967, 23700, 267, 1950, 3270, 2813, 998, 17279, 543, 8390, 786, 3986, 519, 3354, 540, 707, 5728, 5048, 780, 1262, 8512, 476, 274, 281, 12861, 24344, 32011, 4373, 3383, 1631, 596, 1522, 4898, 267, 834, 1692, 4010, 1281, 14238, 960, 8119, 4270, 267, 1589, 827, 519, 3014, 17791, 7483, 269, 5457, 22090, 27128, 513, 8360, 547, 707, 7023, 267, 8429, 621, 1472, 2394, 621, 2968, 11389, 322, 1758, 14184, 286, 7402, 11736, 1568, 13974, 267, 26545, 17331, 1344, 3564, 6284, 4849, 585, 1346, 8066, 519, 1883, 547, 1232, 1712, 621, 1394, 780, 2026, 5018, 4505, 267, 3274, 13868, 1367, 3197, 630, 24393, 267, 6698, 264, 3085, 1405, 1683, 4396, 4027, 2094, 3270, 949, 7866, 2933, 269, 7464, 3734, 13798, 655, 5474, 8415, 6620, 5473, 1312, 17279, 543, 8390, 267, 4180, 2178, 14238, 11259, 547, 1455, 6285, 780, 17730, 5150, 9479, 3340, 6297, 4058, 267, 5876, 267, 543, 3586, 9542, 1996, 1761, 6937, 269, 1809, 3314, 267, 2436, 11488, 513, 1283, 5498, 4038, 22342, 5048, 610, 8806, 11981, 513, 1434, 4062, 540, 24290, 2575, 267, 6616, 875, 3270, 3337, 938, 2833, 3788, 4241, 569, 10578, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 21430, 513, 16338, 281, 10548, 5874, 540, 30767, 543, 16844, 267, 3115, 564, 819, 543, 7352, 566, 267, 538, 519, 4518, 540, 3627, 595, 720, 454, 272, 269, 4985, 281, 1548, 6496, 621, 2353, 6399, 888, 3725, 701, 730, 3270, 267, 9117, 607, 789, 798, 593, 519, 6857, 543, 17499, 2247, 267, 616, 606, 1898, 851, 540, 1018, 2306, 1893, 540, 1022, 2186, 630, 31347, 11913, 610, 1875, 31646, 264, 4111, 1043, 547, 2713, 9637, 269, 3223, 523, 4656, 540, 891, 7368, 3270, 568, 3226, 16832, 547, 1082, 1893, 2861, 22825, 971, 607, 25563, 267, 799, 3096, 713, 4656, 607, 519, 4358, 1448, 585, 1167, 518, 940, 11913, 1893, 689, 575, 756, 828, 880, 269, 1280, 713, 2601, 267, 621, 568, 711, 6190, 547, 17278, 513, 5048, 676, 1797, 540, 1945, 607, 2241, 607, 513, 29905, 630, 1410, 6374, 1881, 676, 11356, 16654, 6939, 13228, 4925, 267, 585, 3236, 267, 799, 4125, 513, 835, 6823, 14633, 19359, 1063, 6698, 543, 519, 5022, 2655, 21114, 585, 873, 1040, 898, 3976, 3587, 2556, 538, 971, 2665, 547, 946, 513, 1697, 3009, 267, 1945, 602, 18481, 26545, 7632, 513, 5048, 865, 602, 519, 7368, 3270, 616, 711, 1500, 8763, 630, 321, 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, 634, 4055, 729, 18388, 532, 609, 8082, 607, 13222, 689, 1312, 5011, 540, 519, 513, 529, 548, 10356, 1472, 519, 3349, 269, 2311, 519, 2212, 540, 519, 3349, 2893, 29150, 16399, 267, 513, 19023, 22267, 1634, 585, 1010, 2702, 547, 3142, 15852, 5784, 1927, 269, 4653, 781, 16786, 281, 13326, 519, 4690, 540, 2797, 6105, 1247, 9363, 3020, 547, 519, 2115, 543, 13821, 540, 741, 23466, 780, 11847, 6974, 894, 30954, 22222, 267, 513, 13730, 12167, 585, 1200, 8664, 267, 12038, 909, 1101, 269, 834, 2171, 666, 1405, 11716, 519, 1249, 602, 938, 23466, 1616, 2962, 593, 2916, 1689, 269, 1809, 649, 849, 666, 1405, 7340, 827, 2816, 2208, 543, 2804, 1646, 1701, 2701, 6743, 1472, 519, 4055, 267, 10478, 585, 1489, 780, 10907, 1484, 519, 3349, 267, 11724, 894, 8055, 267, 513, 15061, 689, 513, 6917, 8664, 267, 16403, 539, 538, 269, 834, 296, 3858, 602, 649, 991, 547, 2149, 938, 1604, 267, 855, 711, 693, 519, 13258, 540, 6009, 543, 24454, 269, 1284, 991, 513, 7059, 1935, 3010, 11854, 6033, 16399, 21330, 24617, 269, 834, 6546, 781, 1946, 649, 3180, 1857, 5873, 902, 543, 723, 26639, 2689, 9086, 1354, 621, 10301, 519, 6989, 269, 898, 3947, 721, 606, 4316, 547, 2015, 782, 16752, 543, 2097, 909, 609, 3435, 602, 4324, 3025, 3010, 3719, 711, 3025, 729, 18617, 269, 11724, 894, 12722, 267, 513, 30226, 518, 547, 6214, 267, 7948, 1405, 21199, 519, 4743, 602, 789, 941, 7508, 1945, 269, 1261, 10709, 539, 4464, 267, 1714, 28647, 593, 519, 3349, 269, 834, 1432, 952, 1018, 781, 1655, 585, 938, 5428, 3884, 1405, 1018, 781, 1655, 585, 519, 1004, 649, 4196, 286, 1215, 798, 649, 31363, 1346, 12721, 4690, 12482, 22068, 775, 8593, 936, 519, 1895, 607, 789, 2808, 1010, 1913, 269, 7053, 267, 11724, 894, 25661, 807, 13264, 519, 16563, 269, 834, 4263, 519, 1439, 540, 519, 1554, 267, 649, 941, 11221, 676, 519, 1004, 543, 649, 616, 18177, 547, 873, 269, 1403, 649, 6336, 8289, 540, 741, 2115, 543, 13821, 267, 1287, 649, 1810, 1405, 17330, 547, 581, 1934, 3010, 2026, 519, 5870, 3357, 547, 513, 2673, 267, 29150, 16399, 18056, 3025, 540, 519, 2956, 540, 2324, 1927, 543, 4466, 1455, 2666, 269, 834, 2005, 4465, 1405, 2141, 581, 2653, 2437, 646, 1767, 267, 834, 8117, 952, 649, 3251, 8149, 547, 7674, 519, 1004, 945, 2322, 721, 538, 5604, 267, 649, 666, 1265, 3435, 602, 960, 585, 3025, 3010, 2026, 519, 13222, 2451, 519, 4055, 267, 1142, 8120, 547, 741, 1378, 4555, 543, 9620, 269, 1809, 9624, 519, 14784, 543, 6846, 267, 972, 7283, 513, 2631, 540, 4126, 910, 602, 1256, 538, 513, 1158, 2407, 540, 20849, 4690, 267, 789, 1223, 1118, 513, 3017, 269, 0, 2237, 513, 8903, 1650, 1644, 547, 519, 1739, 1257, 6256, 912, 22081, 1281, 519, 21086, 5600, 540, 24929, 3666, 519, 4690, 540, 2797, 6105, 609, 519, 2115, 543, 13821, 540, 519, 1004, 789, 2099, 888, 763, 21086, 5600, 540, 24929, 13290, 547, 3666, 519, 4690, 540, 2797, 6105, 609, 519, 2115, 543, 13821, 540, 519, 1004, 789, 2099, 998, 1896, 2409, 1384, 272, 269, 1358, 3180, 1857, 5873, 902, 547, 5531, 3403, 689, 7264, 593, 6069, 9086, 267, 799, 2337, 873, 547, 1174, 519, 4145, 543, 2115, 540, 741, 23466, 780, 273, 269, 1358, 723, 513, 1062, 540, 26639, 602, 2689, 9086, 1354, 621, 568, 23503, 593, 519, 6989, 269, 1452, 26639, 616, 1500, 909, 540, 2818, 689, 1312, 6105, 543, 689, 1114, 4525, 540, 519, 1533, 267, 799, 2636, 585, 513, 4763, 540, 5380, 780, 274, 269, 24929, 616, 11221, 676, 519, 1004, 543, 616, 18177, 547, 873, 269, 1403, 789, 798, 711, 2099, 519, 4690, 540, 741, 23466, 267, 789, 949, 711, 581, 556, 3887, 21124, 538, 519, 1985, 9550, 780, 275, 269, 634, 5600, 540, 24929, 849, 13333, 609, 513, 1305, 540, 3652, 543, 5773, 602, 10640, 763, 1650, 3085, 1406, 991, 547, 2446, 3388, 538, 519, 6256, 267, 946, 621, 1175, 585, 6667, 543, 581, 3860, 2336, 763, 1650, 1058, 6451, 519, 1739, 2609, 912, 268, 15511, 281, 519, 1650, 1590, 4183, 693, 2547, 835, 6209, 5188, 602, 8761, 1915, 3178, 267, 8441, 519, 4729, 267, 610, 28807, 513, 2629, 4062, 540, 519, 9814, 3097, 268, 21624, 4798, 281, 2263, 4798, 22298, 609, 513, 9921, 5304, 267, 971, 607, 5837, 13509, 267, 16650, 14511, 267, 2123, 7004, 267, 610, 519, 4539, 540, 2250, 3527, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 834, 763, 3141, 8288, 1970, 538, 519, 6607, 257, 610, 834, 1103, 519, 27452, 1396, 2580, 581, 3860, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 994, 4375, 269, 12693, 954, 332, 728, 622, 561, 3455, 3630, 692, 8794, 519, 2040, 540, 606, 12980, 5311, 609, 513, 284, 276, 543, 546, 284, 275, 649, 723, 547, 4194, 585, 562, 630, 6518, 568, 519, 1297, 540, 9343, 1040, 865, 1862, 476, 278, 3199, 14352, 333, 270, 273, 7565, 273, 320, 23444, 333, 268, 272, 264, 275, 264, 855, 649, 798, 519, 2979, 543, 1205, 1524, 547, 476, 271, 284, 275, 333, 317, 273, 1341, 277, 333, 268, 14444, 271, 799, 2115, 519, 13392, 4542, 547, 3815, 269, 2290, 540, 519, 5072, 540, 519, 13392, 4542, 4429, 2412, 269, 12693, 6905, 6128, 692, 2691, 596, 17250, 856, 519, 6516, 1862, 1079, 12730, 269, 4595, 30400, 284, 273, 7876, 267, 543, 30400, 284, 301, 271, 267, 1287, 12971, 284, 273, 7876, 543, 621, 849, 2488, 602, 5086, 30838, 301, 568, 476, 3445, 5232, 543, 2094, 621, 568, 606, 568, 30801, 2468, 1052, 267, 5086, 30838, 301, 815, 5086, 700, 301, 300, 543, 789, 616, 1312, 476, 3393, 5232, 269, 21121, 30838, 301, 814, 513, 2147, 2468, 1052, 9361, 593, 1283, 4429, 6078, 269, 12693, 513, 5586, 337, 9346, 692, 4792, 2600, 1862, 568, 856, 540, 476, 1911, 476, 4792, 270, 1911, 6971, 676, 12270, 519, 1283, 543, 5377, 676, 476, 276, 865, 1862, 476, 4792, 270, 1911, 815, 476, 1724, 270, 736, 543, 476, 4792, 260, 950, 2854, 607, 513, 8918, 568, 476, 4792, 270, 1911, 593, 707, 9498, 3947, 596, 519, 2034, 835, 602, 568, 849, 2953, 269, 1924, 1862, 519, 2243, 3081, 3442, 782, 602, 4019, 1862, 543, 972, 616, 1079, 4429, 5655, 269, 12693, 3163, 692, 1692, 1082, 8477, 540, 3002, 1648, 616, 2838, 547, 15835, 476, 736, 10101, 540, 4672, 693, 476, 271, 11019, 290, 286, 8382, 281, 21718, 8477, 1215, 1082, 8477, 540, 3002, 616, 2838, 547, 18493, 622, 476, 736, 10101, 540, 5277, 1216, 693, 476, 271, 11019, 290, 286, 8382, 281, 21718, 8477, 454, 6246, 269, 12693, 4569, 692, 274, 270, 279, 555, 540, 513, 1396, 516, 1317, 972, 616, 476, 279, 1004, 4687, 519, 10433, 630, 288, 330, 1470, 543, 476, 278, 2828, 2306, 476, 279, 1004, 994, 4510, 269, 12693, 4569, 692, 288, 15790, 10938, 814, 1896, 12545, 540, 3160, 3259, 269, 1261, 11912, 476, 274, 270, 276, 540, 1142, 4604, 269, 2991, 5969, 519, 12545, 267, 519, 2961, 335, 2658, 711, 1182, 602, 646, 814, 2614, 4773, 2451, 936, 547, 1118, 909, 519, 1482, 3259, 607, 2185, 540, 519, 3312, 12545, 269, 1215, 1082, 12545, 1705, 519, 2961, 335, 2658, 1376, 609, 888, 3393, 269, 12693, 6323, 692, 529, 602, 782, 972, 568, 547, 621, 888, 5379, 269, 12693, 6323, 692, 288, 476, 1240, 4846, 4224, 568, 7923, 547, 513, 476, 7367, 715, 8276, 5614, 267, 596, 1287, 1376, 547, 18711, 519, 5614, 1657, 707, 2212, 538, 513, 8880, 5858, 693, 476, 3953, 32494, 4882, 269, 12433, 875, 2484, 519, 5614, 786, 12701, 1282, 713, 5163, 14322, 922, 17159, 3259, 568, 476, 272, 269, 276, 332, 4394, 269, 22695, 648, 1022, 2360, 540, 8904, 454, 5325, 269, 12693, 7223, 476, 273, 692, 763, 2527, 540, 519, 5536, 602, 513, 5757, 666, 3560, 568, 14354, 547, 519, 15795, 1379, 540, 519, 3432, 540, 519, 5757, 269, 589, 1978, 5757, 7363, 8928, 693, 513, 3432, 540, 476, 274, 5195, 829, 5662, 269, 1548, 1590, 922, 3432, 581, 538, 1931, 547, 3560, 5536, 602, 616, 476, 1220, 2053, 607, 7372, 607, 8912, 286, 4429, 4366, 269, 12693, 2979, 692, 3698, 6873, 540, 30494, 454, 5392, 269, 12693, 2979, 692, 1692, 1082, 1114, 1318, 12730, 616, 972, 609, 513, 30494, 540, 3259, 476, 276, 4699, 888, 2004, 269, 12693, 2979, 692, 1692, 1082, 1114, 12730, 609, 5011, 540, 7403, 540, 476, 274, 267, 476, 275, 267, 543, 476, 276, 616, 972, 888, 7906, 269, 12693, 2979, 692, 10695, 270, 4649, 1341, 476, 11152, 270, 2004, 666, 596, 2285, 803, 519, 4890, 2626, 454, 7367, 269, 12693, 2979, 692, 3698, 6873, 585, 5276, 454, 7871, 269, 12693, 2979, 692, 263, 274, 270, 275, 5258, 676, 476, 274, 270, 1911, 264, 5258, 676, 476, 274, 270, 273, 1535, 476, 272, 270, 273, 1341, 476, 278, 270, 277, 23751, 7918, 269, 12693, 2979, 692, 10695, 270, 4649, 1341, 476, 11152, 270, 2004, 454, 4649, 269, 12693, 2979, 692, 274, 24474, 24210, 270, 1321, 1018, 568, 1535, 454, 6321, 269, 12693, 2979, 692, 604, 5216, 2053, 513, 1297, 568, 2799, 676, 1614, 519, 1267, 568, 476, 866, 811, 982, 3670, 2053, 713, 1297, 269, 1265, 519, 1297, 454, 6872, 269, 12693, 476, 279, 628, 3446, 1514, 2090, 692, 763, 11968, 13353, 8648, 7179, 539, 606, 2376, 10404, 1944, 519, 1259, 5518, 17312, 729, 7231, 609, 519, 4346, 454, 6812, 269, 12693, 7223, 692, 514, 513, 476, 274, 7857, 1297, 267, 519, 9937, 7857, 568, 7466, 519, 7366, 7857, 543, 476, 272, 270, 273, 519, 4559, 7857, 269, 952, 519, 9704, 616, 20328, 267, 519, 1007, 1297, 568, 476, 5392, 811, 982, 476, 274, 2053, 602, 540, 519, 3312, 1297, 454, 6795, 269, 12693, 11810, 692, 2252, 606, 15561, 568, 8929, 16057, 593, 9370, 609, 513, 3432, 540, 476, 7367, 544, 4882, 267, 922, 4463, 538, 7397, 512, 7643, 2663, 568, 2016, 676, 586, 815, 476, 7367, 339, 7790, 476, 272, 269, 10436, 339, 273, 269, 630, 305, 895, 707, 4267, 547, 1079, 8918, 4025, 4700, 1548, 568, 519, 3328, 3432, 936, 519, 2016, 942, 11996, 286, 630, 328, 264, 1496, 272, 267, 476, 273, 316, 630, 4512, 264, 1496, 272, 267, 476, 272, 269, 276, 316, 630, 13839, 264, 1496, 272, 267, 476, 272, 269, 272, 316, 630, 643, 264, 1496, 272, 267, 476, 272, 2483, 2568, 269, 12693, 10334, 692, 5475, 513, 1920, 17552, 5371, 267, 292, 12848, 546, 22981, 519, 4672, 543, 4224, 6070, 689, 4672, 8645, 20536, 538, 519, 1394, 13452, 269, 7474, 1858, 540, 13452, 1631, 3568, 4666, 14720, 3497, 6371, 269, 11512, 1946, 713, 5949, 1210, 2262, 9842, 28485, 1736, 538, 707, 7778, 563, 8618, 269, 12693, 6673, 12713, 692, 28097, 875, 6037, 6327, 270, 10520, 17508, 568, 606, 9542, 602, 2636, 15496, 2371, 547, 7753, 2042, 540, 1272, 593, 2244, 454, 7830, 269, 12693, 2979, 692, 263, 275, 270, 274, 1535, 476, 275, 270, 274, 264, 1535, 630, 274, 270, 273, 1535, 476, 274, 270, 273, 264, 5258, 676, 476, 273, 476, 273, 270, 276, 21591, 8287, 269, 12693, 2979, 692, 1724, 270, 274, 1341, 476, 3374, 270, 275, 5258, 676, 476, 2641, 270, 275, 21591, 5038, 269, 12693, 2979, 692, 6011, 547, 1265, 21083, 2338, 454, 4792, 269, 12693, 2979, 692, 288, 4015, 540, 11113, 814, 513, 1871, 540, 476, 5038, 21347, 269, 1703, 616, 1079, 811, 12183, 1564, 982, 546, 1307, 543, 1614, 2053, 607, 1082, 30779, 625, 607, 546, 1307, 269, 1215, 1082, 540, 1142, 2186, 540, 11113, 616, 972, 888, 5780, 269, 12693, 2979, 692, 278, 23444, 343, 268, 280, 270, 2190, 264, 9392, 2412, 284, 21878, 1018, 568, 1535, 454, 6858, 269, 12693, 2979, 692, 4510, 24179, 278, 7597, 276, 24474, 6661, 1839, 1548, 568, 1535, 563, 6924, 269, 12693, 2979, 692, 2237, 1079, 6404, 2338, 865, 602, 782, 3652, 616, 4294, 281, 476, 272, 269, 2290, 1297, 568, 3677, 982, 519, 824, 676, 476, 275, 476, 273, 270, 274, 476, 273, 269, 634, 3017, 540, 519, 2338, 568, 3160, 547, 519, 4130, 1297, 269, 476, 274, 269, 634, 2040, 540, 519, 2338, 568, 2067, 1297, 269, 1548, 616, 519, 2338, 888, 7597, 269, 12693, 2979, 692, 763, 2040, 540, 1079, 15654, 2338, 568, 562, 266, 272, 269, 1548, 616, 519, 2338, 888, 3583, 269, 12693, 2979, 692, 320, 1614, 7857, 1297, 814, 4557, 7857, 1079, 3152, 982, 519, 4559, 7857, 543, 519, 7366, 7857, 835, 3152, 982, 519, 9937, 7857, 269, 519, 2040, 540, 519, 9937, 543, 519, 7366, 568, 1614, 2053, 519, 4559, 7857, 269, 1018, 568, 519, 1297, 454, 10170, 269, 12693, 2979, 692, 306, 615, 328, 781, 2085, 538, 476, 736, 1296, 786, 581, 519, 1482, 607, 32515, 781, 2085, 1318, 1631, 269, 14210, 1296, 689, 1631, 267, 32515, 781, 2085, 786, 581, 7466, 15593, 328, 781, 269, 1548, 616, 741, 1459, 6502, 2496, 265, 15290, 596, 454, 10463, 269, 12693, 7998, 692, 1432, 5686, 540, 2978, 2553, 1223, 596, 13712, 538, 707, 3932, 609, 513, 24855, 640, 2978, 286, 1879, 3313, 1018, 24855, 640, 568, 2953, 563, 10619, 269, 12693, 2979, 630, 339, 3419, 517, 5852, 2020, 323, 264, 2060, 513, 546, 284, 1911, 649, 917, 602, 519, 3845, 519, 8868, 12599, 595, 284, 7032, 5560, 264, 865, 524, 284, 274, 269, 15221, 6795, 263, 1911, 332, 264, 524, 284, 13627, 476, 27183, 332, 547, 979, 1472, 519, 7542, 5142, 8868, 2899, 269, 1809, 596, 666, 979, 7466, 476, 27183, 263, 273, 264, 538, 476, 1015, 1295, 865, 1862, 4259, 909, 513, 8167, 3845, 270, 5503, 815, 3845, 270, 5503, 476, 277, 1240, 332, 270, 1015, 2381, 815, 1535, 270, 277, 1295, 543, 4194, 585, 1535, 454, 4037, 269, 12693, 4569, 692, 12552, 1488, 7702, 256, 2991, 811, 2219, 594, 3494, 782, 2665, 616, 4988, 538, 707, 1714, 13228, 550, 3070, 2433, 12467, 10602, 269, 12693, 4569, 692, 295, 7825, 7825, 2807, 666, 621, 2731, 581, 602, 2241, 286, 18040, 520, 827, 519, 1100, 12215, 540, 521, 267, 476, 272, 5299, 540, 521, 267, 1100, 12215, 540, 562, 267, 476, 272, 5299, 540, 562, 888, 6507, 269, 12693, 4569, 692, 257, 1692, 1082, 2081, 616, 972, 547, 6582, 930, 267, 855, 711, 782, 267, 540, 519, 5022, 538, 834, 306, 22273, 3290, 257, 952, 693, 1034, 2899, 5299, 540, 1142, 4484, 666, 581, 1031, 286, 594, 723, 513, 1376, 1862, 594, 1589, 519, 851, 602, 3081, 834, 520, 1034, 257, 835, 5299, 1797, 602, 596, 723, 547, 4894, 835, 540, 519, 834, 338, 257, 2483, 4281, 269, 12693, 4569, 692, 19185, 693, 519, 2243, 607, 513, 8167, 1131, 2285, 14692, 270, 15953, 815, 14692, 270, 28128, 1287, 2322, 538, 707, 2338, 1862, 476, 280, 10623, 564, 270, 277, 10623, 564, 815, 14692, 270, 736, 1287, 9062, 1312, 5011, 676, 476, 736, 547, 3489, 1018, 12456, 517, 1767, 2433, 12467, 8064, 269, 12693, 670, 5085, 303, 670, 5085, 335, 692, 20756, 267, 16921, 24983, 593, 596, 1317, 594, 1780, 26008, 688, 327, 1695, 21036, 454, 3199, 269, 12693, 670, 5085, 303, 670, 5085, 335, 692, 2791, 16921, 616, 1100, 948, 952, 594, 3111, 568, 1317, 540, 596, 16921, 26008, 4746, 8989, 782, 540, 596, 563, 10037, 269, 12693, 3348, 531, 322, 3803, 2496, 296, 991, 948, 593, 519, 3348, 531, 322, 3803, 454, 11025, 269, 12693, 3163, 692, 1103, 519, 1062, 3254, 1657, 544, 272, 815, 476, 280, 269, 276, 11899, 543, 544, 273, 815, 476, 273, 269, 277, 11899, 269, 1403, 519, 11664, 540, 15452, 11508, 5177, 815, 476, 271, 269, 1428, 543, 519, 1062, 568, 5950, 689, 1964, 454, 10695, 269, 12693, 4569, 692, 2998, 4355, 3406, 519, 23370, 300, 5308, 3896, 568, 513, 24275, 3896, 1411, 666, 3113, 538, 32494, 610, 5232, 2433, 3738, 898, 568, 1863, 2433, 12467, 10019, 269, 12693, 11061, 263, 21900, 29090, 1198, 2020, 296, 4312, 3893, 713, 2243, 4636, 476, 273, 2053, 1631, 1862, 6904, 540, 519, 1739, 6898, 827, 519, 2584, 29090, 1198, 616, 2953, 286, 594, 269, 1403, 9211, 616, 1373, 30275, 539, 267, 519, 1297, 540, 9211, 30275, 539, 4679, 609, 2810, 1769, 8515, 269, 4083, 269, 634, 5934, 1648, 2838, 585, 4429, 5952, 269, 12693, 4569, 692, 288, 342, 13135, 256, 3767, 594, 5963, 1174, 519, 4091, 518, 1470, 269, 8729, 865, 1454, 585, 707, 8797, 543, 12905, 30491, 543, 3435, 2433, 12467, 10436, 269, 12693, 4569, 692, 763, 834, 520, 548, 770, 476, 276, 19184, 525, 257, 851, 1797, 476, 272, 6261, 263, 2004, 337, 1652, 19184, 525, 264, 865, 594, 1589, 649, 849, 991, 519, 11359, 19184, 602, 814, 476, 272, 538, 476, 3953, 2081, 547, 1205, 10226, 267, 602, 1373, 570, 307, 8025, 307, 1924, 602, 814, 547, 979, 883, 519, 18946, 31455, 607, 1134, 1862, 594, 1589, 2433, 3738, 7490, 18973, 563, 9262, 269, 12693, 4569, 692, 7775, 1862, 798, 649, 711, 2736, 909, 1141, 519, 3529, 8694, 630, 553, 538, 1250, 476, 272, 268, 3070, 1070, 855, 798, 476, 272, 910, 476, 278, 270, 3953, 799, 1131, 1287, 581, 476, 1839, 270, 3953, 585, 519, 5506, 540, 621, 2921, 693, 548, 770, 476 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 281, 15531, 543, 674, 30480, 10819, 454, 8893, 8422, 281, 4635, 519, 5124, 13891, 10212, 518, 454, 288, 3181, 10212, 518, 786, 1577, 596, 4983, 707, 1982, 607, 621, 568, 4881, 269, 1411, 666, 1900, 998, 1142, 1899, 538, 707, 3009, 267, 835, 8386, 14633, 267, 543, 1294, 1018, 1142, 3948, 1281, 269, 1411, 666, 1118, 2386, 602, 1169, 3948, 814, 519, 4397, 6364, 543, 602, 707, 4632, 2270, 519, 1318, 2418, 269, 13891, 10212, 619, 616, 1390, 2645, 585, 4466, 543, 21338, 2042, 2336, 25284, 2276, 910, 26121, 543, 16505, 454, 32207, 958, 267, 707, 1982, 786, 1376, 693, 519, 4098, 543, 2196, 693, 2407, 3432, 267, 17328, 6748, 1152, 950, 20872, 519, 3593, 585, 3403, 269, 769, 713, 834, 337, 7342, 257, 1533, 267, 519, 2407, 18286, 11056, 568, 865, 3728, 267, 596, 1131, 2760, 581, 2111, 547, 5702, 4585, 1142, 3948, 543, 1294, 1018, 4523, 269, 1411, 849, 1810, 1405, 723, 519, 4316, 547, 1413, 693, 707, 4632, 547, 1294, 1018, 2418, 616, 2965, 3330, 563, 288, 3181, 10212, 518, 2636, 596, 547, 2322, 707, 1982, 883, 513, 834, 19874, 257, 1533, 269, 1879, 538, 2736, 267, 707, 1982, 568, 17328, 4310, 17303, 865, 596, 666, 1413, 693, 1018, 568, 2469, 593, 3330, 269, 2659, 1982, 786, 581, 17328, 4310, 693, 513, 3948, 602, 568, 827, 547, 581, 2196, 269, 901, 2736, 1533, 2636, 596, 547, 2638, 519, 9115, 540, 707, 4632, 543, 1118, 2386, 519, 1239, 5654, 1434, 269, 1411, 666, 849, 4585, 519, 1982, 2095, 454, 299, 1933, 532, 519, 5124, 13891, 10212, 518, 454, 763, 5124, 3181, 10212, 518, 568, 711, 13087, 676, 9949, 269, 898, 568, 6854, 538, 513, 5094, 5399, 1572, 834, 335, 27219, 257, 630, 26211, 585, 834, 23911, 13891, 10212, 518, 20257, 1677, 3142, 519, 19073, 321, 5399, 883, 707, 1982, 267, 596, 991, 547, 1039, 606, 1104, 3948, 693, 519, 1283, 540, 707, 3009, 269, 834, 5814, 257, 6645, 5124, 547, 3142, 538, 930, 3606, 2645, 610, 3009, 602, 814, 1044, 840, 27787, 11992, 269, 1677, 5512, 519, 5124, 3181, 10212, 518, 267, 3274, 1039, 834, 5814, 19073, 321, 257, 607, 519, 1101, 1899, 538, 707, 3009, 563, 763, 1383, 2630, 556, 2275, 805, 525, 513, 1982, 689, 519, 2063, 3992, 269, 901, 3454, 23343, 27218, 1982, 786, 5173, 513, 3803, 3915, 2016, 513, 4358, 3902, 267, 3454, 2557, 543, 9133, 269, 898, 3568, 1079, 2196, 6066, 6959, 602, 1832, 621, 689, 4758, 519, 2953, 3977, 269, 1284, 4312, 3773, 519, 834, 5814, 19073, 321, 257, 3948, 693, 519, 1283, 865, 649, 666, 4983, 713, 1982, 538, 519, 3181, 10212, 518, 563, 5814, 19073, 321, 1948, 5512, 5124, 3181, 10212, 518, 3902, 815, 476, 1015, 269, 876, 3454, 31948, 815, 476, 271, 269, 5881, 3454, 815, 3902, 2608, 3454, 31948, 1948, 5173, 519, 3454, 2698, 815, 3454, 31948, 1341, 3454, 1948, 1039, 519, 3454, 547, 519, 3902, 9133, 815, 476, 273, 269, 876, 952, 630, 339, 760, 2999, 476, 271, 2567, 1948, 952, 972, 568, 513, 9133, 2698, 815, 2698, 1341, 9133, 1948, 1039, 519, 9133, 547, 519, 3915, 1820, 2891, 7312, 2698, 3915, 568, 281, 1269, 2580, 20135, 994, 10214, 609, 519, 5124, 19073, 321, 5399, 16041, 267, 707, 1982, 786, 1869, 1376, 1055, 538, 519, 2407, 18286, 834, 337, 7342, 257, 1533, 269, 1677, 946, 519, 3181, 10212, 518, 267, 596, 991, 547, 1039, 835, 610, 811, 2736, 9557, 3330, 707, 3009, 269, 589, 2736, 4812, 568, 513, 5544, 1141, 596, 2995, 519, 3181, 10212, 518, 547, 2322, 519, 1982, 883, 519, 834, 19874, 257, 1533, 563, 2414, 1711, 513, 2736, 4812, 538, 5124, 267, 1039, 519, 834, 335, 27219, 15630, 4671, 15869, 3890, 257, 3948, 538, 707, 3009, 1141, 596, 1616, 519, 1982, 547, 23249, 269, 634, 19073, 321, 15630, 4671, 15869, 3890, 1899, 666, 581, 3773, 9170, 596, 9364, 1747, 513, 3339, 3948, 267, 1519, 519, 4098, 540, 707, 1982, 267, 12341, 2663, 1369, 519, 7954, 267, 610, 1256, 3330, 606, 834, 604, 2580, 834, 19197, 257, 610, 834, 12828, 257, 3625, 563, 5814, 19073, 321, 1948, 5512, 5124, 3181, 10212, 518, 19073, 321, 15630, 4671, 15869, 3890, 1948, 1305, 513, 2736, 4812, 1934, 3902, 815, 476, 1015, 269, 876, 3454, 31948, 815, 476, 271, 269, 5881, 3454, 815, 3902, 2608, 3454, 31948, 1948, 5173, 519, 3454, 2698, 815, 3454, 31948, 1341, 3454, 1948, 1039, 519, 3454, 547, 519, 3902, 9133, 815, 476, 273, 269, 876, 952, 630, 339, 760, 2999, 476, 271, 2567, 1948, 952, 972, 568, 513, 9133, 2698, 815, 2698, 1341, 9133, 1948, 1039, 519, 9133, 547, 519, 3915, 1820, 2891, 7312, 2698, 3915, 568, 281, 1269, 2580, 20135, 994, 7312, 1982, 786, 2196, 7363, 2394, 621, 13341, 513, 2736, 4812, 3948, 269, 2311, 602, 1448, 267, 519, 1982, 786, 23249, 538, 834, 19874, 257, 1533, 267, 543, 596, 786, 723, 1896, 2027, 3181, 10212, 518, 12981, 2139, 547, 596, 269, 769, 519, 1383, 1657, 267, 649, 3773, 513, 2736, 4812, 1354, 519, 1101, 1899, 540, 3009, 269, 4475, 267, 938, 1982, 786, 4283, 519, 2736, 1533, 5612, 1310, 22745, 267, 1354, 1022, 824, 6898, 723, 1044, 2196, 563, 5719, 321, 10212, 518, 16710, 32653, 454, 4407, 538, 2736, 1533, 267, 519, 5124, 3181, 10212, 518, 568, 7317, 269, 1411, 786, 1826, 538, 12981, 543, 1294, 519, 2164, 538, 519, 23641, 6885, 269, 1403, 596, 941, 547, 2196, 519, 3732, 3009, 1657, 267, 596, 1131, 1294, 23641, 3977, 899, 1018, 568, 3254, 2630, 563, 285, 1315, 24610, 9706, 4198, 4649, 11305, 1712, 272, 18258, 263, 275, 264, 283, 7116, 2544, 285, 3890, 9847, 3902, 815, 476, 1015, 269, 876, 454, 1607, 568, 707, 3181, 10212, 518, 4971, 5401, 269, 634, 1101, 1899, 6257, 519, 2736, 4812, 602, 729, 5734, 538, 707, 3009, 269, 1411, 666, 1294, 938, 1383, 3009, 3758, 568, 3957, 834, 13892, 272, 18258, 257, 543, 519, 2736, 4812, 729, 1336, 593, 1899, 476, 275, 269, 4033, 3877, 538, 713, 1899, 949, 1689, 1759, 593, 875, 543, 1141, 596, 616, 4881, 519, 3009, 563, 763, 2034, 1899, 609, 519, 15561, 11196, 285, 264, 538, 4395, 2982, 519, 3948, 602, 568, 827, 547, 14892, 269, 898, 814, 711, 2943, 2196, 267, 855, 3105, 6898, 909, 547, 713, 1448, 723, 2907, 2196, 563, 763, 3791, 1899, 630, 303, 27219, 264, 568, 519, 5401, 1141, 596, 786, 1826, 12981, 547, 519, 3181, 10212, 518, 269, 901, 568, 1141, 596, 786, 4051, 519, 3181, 10212, 518, 547, 1397, 596, 4756, 9115, 267, 14892, 519, 1985, 1899, 540, 3009, 267, 543, 865, 593, 269, 6969, 596, 4283, 1022, 3181, 10212, 518, 4971, 267, 1118, 2386, 707, 23684, 568, 5116, 693, 519, 1439, 540, 519, 630, 303, 27219, 264, 1899, 563, 7312, 23641, 6885, 786, 3533, 6445, 609, 3181, 19982, 3977, 269, 5269, 2386, 547, 20801, 909, 543, 1524, 1210, 519, 20801, 13063, 267, 950, 2877, 267, 547, 1294, 707, 1699, 3181, 10212, 518, 5401, 543, 3977, 269, 1411, 666, 2451, 26487, 609, 707, 10856, 693, 519, 1439, 540, 519, 630, 303, 27219, 264, 1899, 547, 1118, 2386, 596, 616, 4712, 547, 1826, 513, 3181, 19982, 4971, 563, 13349, 13891, 10212, 518, 2155, 1343, 454, 763, 5124, 3181, 10212, 518, 568, 3532, 609, 1082, 2009, 12981, 269, 1717, 267, 547, 1205, 3323, 267, 596, 3513, 1175, 991, 513, 1906, 13561, 3681, 269, 3962, 4971, 666, 581, 29921, 856, 538, 2407, 630, 324, 3052, 269, 834, 21163, 8442, 610, 28484, 609, 835, 610, 1079, 3197, 9497, 338, 8442, 607, 3254, 538, 519, 3349, 2630, 563, 347, 21163, 1475, 338, 1475, 2750, 31146, 519, 1985, 3948, 543, 3247, 1586, 538, 2736, 19952, 2008, 347, 11666, 826, 1475, 322, 1475, 9359, 4881, 1586, 693, 2407, 3432, 267, 16069, 1152, 952, 596, 5734, 1776, 2736, 4812, 2008, 347, 4289, 1475, 331, 1475, 11514, 2452, 476, 1556, 3515, 540, 3009, 602, 3295, 519, 3948, 602, 568, 827, 547, 14892, 2008, 347, 335, 2999, 10339, 1833, 285, 1475, 335, 2999, 10339, 1833, 285, 1475, 11514, 2452, 519, 1871, 540, 513, 4756, 610, 4082, 2008, 347, 11898, 610, 4283, 1475, 11898, 610, 4283, 1475, 3725, 701, 520, 519, 2063, 4971, 2008, 347, 10181, 1475, 336, 1475, 2750, 527, 519, 3181, 10212, 518, 543, 26699, 519, 3003, 1982, 5612, 2008, 4131, 781, 2285, 519, 3181, 10212, 518, 513, 2119, 256, 14840, 519, 3009, 2630, 267, 543, 596, 1058, 1294, 519, 3181, 10212, 518, 4971, 5401, 5612, 267, 1317, 649, 723, 5116, 513, 2736, 4812, 1657, 519, 1101, 1899, 540, 3009, 563, 2521, 898, 3767, 454, 8794, 519, 834, 21163, 257, 16710, 454, 2691, 596, 1294, 519, 630, 335, 27219, 264, 5401, 267, 979, 6619, 543, 2119, 519, 834, 21163, 257, 4971, 269, 7392, 834, 21163, 257, 610, 1175, 834, 338, 257, 543, 5734, 834, 11767, 2668, 1411, 1058, 1294, 513, 1007, 5401, 609, 519, 15561, 15738, 693, 519, 1985, 3948, 269, 7392, 834, 21163, 2580, 834, 338, 2580, 610, 5734, 519, 2230, 3046, 610, 834, 11767, 257, 1883, 7466, 547, 10956, 519, 1900, 4971, 1079, 811, 2053, 563, 15010, 3902, 815, 476, 1015, 269, 876, 454, 15010, 3454, 31948, 815, 476, 271, 269, 5881, 454, 15010, 3454, 815, 3902, 2608, 3454, 31948, 1948, 5173, 519, 3454, 454, 15010, 2698, 815, 3454, 31948, 1341, 3454, 1948, 1039, 519, 3454, 547, 519, 3902, 454, 8794, 519, 834, 4289, 257, 16710, 454, 2791, 723, 1631, 13401, 519, 1101, 1614, 6898, 267, 543, 519, 1985, 3948, 602, 786, 2196, 568, 519, 2698, 9819, 3948, 269, 1403, 596, 616, 4743, 513, 3787, 4503, 267, 621, 781, 2141, 513, 1434, 2856, 547, 2119, 519, 1592, 4971, 547, 1397, 596, 519, 2949, 1858, 540, 3009, 269, 7392, 834, 4289, 257, 610, 1175, 834, 331, 257, 630, 320, 27608, 834, 299, 8442, 547, 1294, 519, 3009, 2282, 519, 1699, 1899, 602, 568, 827, 547, 2196, 563, 763, 3977, 2630, 9727, 519, 6898, 602, 3295, 938, 1699, 4087, 267, 799, 568, 4857, 609, 519, 15561, 11196, 285, 264, 593, 1899, 476, 278, 563, 274, 19073, 321, 15630, 4671, 15869, 3890, 1948, 1305, 513, 2736, 4812, 1934, 454, 275, 3902, 815, 476, 1015, 269, 876, 454, 276, 3454, 31948, 815, 476, 271, 269, 5881, 454, 277, 3454, 815, 3902, 2608, 3454, 31948, 1948, 5173, 519, 3454, 454, 278, 9847, 2698, 815, 3454, 31948, 1341, 3454, 1948, 1039, 519, 3454, 547, 519, 3902, 454, 279, 9133, 815, 476, 273, 269, 876, 454, 280, 952, 630, 339, 760, 2999, 476, 271, 2567, 1948, 952, 972, 568, 513, 9133, 454, 1015, 2698, 815, 2698, 1341, 9133, 1948, 1039, 519, 9133, 547, 519, 3915, 454, 1556, 1820, 2891, 7312, 2698, 3915, 568, 281, 1269, 2580, 20135, 994, 8794, 519, 834, 335, 257, 16710, 547, 18224, 25159, 454, 4131, 781, 1413, 693, 519, 9115, 540, 513, 4756, 609, 519, 834, 335, 257, 4971, 269, 7392, 834, 335, 3454, 257, 547, 4159, 519, 9115, 540, 519, 3454, 19702, 762, 563, 27456, 27219, 264, 533, 3454, 454, 1607, 568, 1390, 256, 1411, 666, 1413, 693, 519, 1871, 538, 513, 4756, 543, 5595, 27902, 547, 1118, 2386, 621, 568, 1318, 269, 634, 834, 335, 257, 4971, 666, 2965, 6218, 543, 4159, 3677, 7215, 269, 1924, 267, 596, 1223, 1826, 834, 335, 3454, 2608, 476, 273, 2580, 585, 1383, 267, 547, 4159, 519, 1871, 538, 3454, 2053, 476, 273, 269, 1809, 596, 3513, 1419, 946, 621, 1175, 547, 1397, 596, 519, 9115, 540, 1808, 4632, 563, 2791, 666, 4159, 2789, 4632, 693, 2899, 676, 10024, 513, 1592, 540, 4408, 1310, 519, 834, 335, 257, 4971, 269, 3962, 4756, 2012, 1058, 581, 9674, 676, 513, 26893, 269, 634, 1383, 2630, 786, 1397, 519, 3902, 267, 3454, 31948, 543, 3454, 4756, 2418, 593, 513, 2582, 1899, 563, 27456, 27219, 264, 533, 3902, 267, 3454, 31948, 267, 3454, 454, 263, 1015, 269, 271, 267, 476, 271, 269, 5881, 267, 476, 271, 269, 10384, 1822, 1822, 1822, 1822, 272, 994, 8794, 519, 834, 11666, 826, 257, 16710, 547, 5685, 880, 26121, 454, 7661, 267, 1577, 781, 4734, 519, 2736, 1533, 543, 1577, 519, 1982, 2196, 693, 2407, 3432, 547, 12032, 269, 7392, 834, 322, 257, 547, 3136, 267, 543, 596, 786, 1294, 519, 6967, 1982, 3977, 607, 3339, 563, 2252, 596, 1118, 513, 12161, 950, 17511, 513, 4971, 267, 519, 3181, 10212, 518, 949, 1205, 11821, 269, 6884, 621, 781, 2182, 547, 19758, 10628, 543, 2953, 513, 1966, 538, 513, 23641, 6885, 269, 5213, 1405, 11784, 282, 952, 707, 3181, 10212, 518, 666, 1405, 3100 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 782, 824, 3790, 799, 616, 2556, 547, 3142, 5370, 538, 513, 2990, 547, 581, 4421, 676, 519, 911, 1457, 269, 18766, 689, 891, 3790, 267, 782, 3790, 616, 519, 1974, 1942, 585, 9467, 4145, 269, 898, 568, 1732, 547, 9305, 1974, 3790, 547, 27057, 30309, 24723, 602, 9305, 547, 590, 294, 26031, 2238, 269, 1452, 3790, 798, 711, 25401, 8936, 547, 11891, 543, 1058, 581, 1163, 10234, 538, 519, 1974, 30309, 269, 769, 4334, 547, 713, 267, 519, 1942, 540, 5370, 4421, 585, 2472, 4991, 1163, 10234, 593, 519, 2754, 779, 4747, 3948, 1310, 519, 11891, 568, 4421, 269, 634, 9276, 30309, 693, 519, 22071, 1498, 666, 1406, 581, 7923, 547, 1022, 6472, 1317, 789, 1810, 1406, 1118, 1022, 16258, 6472, 693, 519, 22071, 2336, 268, 11270, 3790, 1331, 9513, 543, 3892, 9276, 267, 543, 2489, 543, 11889, 9276, 563, 268, 589, 5663, 6109, 1281, 711, 6718, 1224, 2096, 1228, 2472, 610, 5370, 585, 9042, 563, 268, 5192, 2312, 267, 13801, 4267, 547, 1455, 1870, 543, 3301, 2055, 563, 268, 6034, 2326, 616, 519, 6151, 2326, 602, 616, 7471, 883, 519, 1587, 563, 268, 11270, 8779, 568, 519, 1942, 799, 12211, 547, 513, 1880, 8051, 1974, 563, 268, 11270, 1942, 568, 607, 4105, 607, 519, 1587, 1942, 30309, 676, 519, 11769, 563, 2026, 606, 8227, 267, 596, 7048, 593, 741, 6111, 547, 1118, 1883, 2359, 3664, 269, 901, 666, 581, 3226, 1271, 585, 1507, 1870, 5411, 267, 945, 723, 1447, 4055, 585, 5470, 269, 1403, 1587, 543, 1974, 3790, 616, 936, 26061, 610, 896, 26061, 267, 610, 711, 6592, 693, 782, 267, 707, 2883, 6898, 786, 581, 4636, 607, 1134, 269, 2201, 519, 824, 1688, 267, 1974, 3790, 616, 2808, 9940, 3790, 610, 16841, 3790, 267, 543, 1247, 789, 1404, 606, 1271, 1909, 538, 707, 1870, 267, 789, 616, 711, 2047, 13615, 547, 2504, 2157, 269, 19007, 3549, 991, 547, 3950, 1312, 1587, 3790, 543, 1974, 3790, 563, 2252, 835, 6499, 547, 17412, 267, 1942, 28944, 723, 1044, 9863, 3730, 547, 2359, 269, 8779, 19767, 723, 2919, 1896, 1114, 3790, 602, 948, 873, 19665, 3790, 585, 1585, 31707, 3156, 269, 8899, 1942, 2326, 602, 1439, 909, 538, 519, 1587, 610, 616, 1031, 547, 1118, 519, 1587, 269, 898, 568, 711, 2653, 547, 3950, 4010, 875, 1454, 568, 1031, 547, 1118, 835, 1587, 269, 11270, 3790, 267, 593, 519, 824, 1688, 267, 616, 811, 6378, 538, 2470, 607, 789, 798, 711, 4268, 2047, 609, 513, 1689, 538, 519, 1377, 540, 3977, 269, 898, 568, 2352, 267, 952, 711, 7543, 267, 547, 3313, 519, 2078, 1063, 519, 1651, 584, 5270, 540, 891, 3790, 543, 519, 2504, 540, 1367, 4559, 540, 3977, 563, 2171, 991, 547, 1101, 30603, 519, 1523, 540, 519, 12805, 6240, 689, 2883, 8051, 269, 1879, 2472, 616, 4421, 267, 519, 1587, 1942, 3587, 606, 13258, 799, 568, 1634, 607, 1942, 540, 5370, 4421, 269, 634, 1942, 540, 5667, 1245, 2472, 693, 519, 1439, 540, 519, 8051, 1974, 2408, 607, 606, 10697, 593, 519, 3666, 6656, 269, 634, 12805, 1523, 16976, 950, 519, 1587, 1942, 3587, 606, 13258, 563, 5804, 972, 267, 596, 666, 1118, 3664, 602, 786, 1118, 707, 1870, 811, 19311, 269, 1323, 1620, 540, 11270, 26959, 2337, 596, 5659, 707, 2883, 6898, 269, 898, 5205, 25401, 602, 1974, 3790, 616, 1163, 10234, 538, 519, 1482, 942, 18134, 2443, 610, 1974, 2443, 789, 2461, 30309, 269, 11270, 3790, 1491, 909, 1034, 540, 519, 2230, 593, 519, 13258, 3296, 540, 707, 4747, 3948, 269, 5589, 1800, 1587, 543, 1974, 3790, 949, 849, 4688, 596, 930, 2724, 2097, 3454, 942, 267, 2094, 1082, 540, 891, 9276, 616, 4628, 20952, 1043, 563, 1607, 4015, 540, 3790, 13054, 606, 10697, 593, 519, 3666, 6656, 12462, 514, 1203, 800, 26158, 901, 11891, 3788, 607, 606, 10697, 2394, 519, 5370, 616, 4421, 267, 693, 799, 1448, 519, 11891, 568, 8854, 267, 543, 519, 1942, 540, 519, 11891, 568, 11843, 547, 1942, 540, 5370, 4421, 593, 519, 4747, 3948, 563, 2690, 1383, 513, 2504, 28643, 602, 568, 3743, 585, 4051, 532, 11668, 2324, 593, 1614, 1114, 2472, 267, 621, 568, 2352, 547, 7941, 519, 15569, 1942, 1851, 1614, 2472, 269, 8605, 3790, 616, 3622, 4756, 610, 10859, 4756, 538, 2470, 607, 789, 616, 1644, 547, 519, 2504, 2534, 543, 4268, 538, 6935, 547, 519, 1377, 540, 3977, 269, 11270, 3790, 798, 711, 1106, 851, 540, 11891, 3790, 543, 616, 267, 4061, 267, 20039, 585, 14384, 269, 634, 5354, 540, 891, 9276, 616, 6378, 7488, 540, 519, 1689, 538, 2504, 610, 2534, 269, 595, 2642, 5890, 5151, 1797, 9276, 2965, 30309, 676, 610, 593, 15773, 540, 513, 595, 2642, 12287, 585, 2126, 267, 2533, 543, 7727, 4988, 676, 519, 8889, 269, 589, 595, 2642, 5890, 1619, 568, 16363, 547, 581, 30309, 593, 519, 4266, 971, 2126, 267, 3028, 610, 3761, 267, 602, 5795, 4473, 547, 519, 13258, 610, 519, 5279, 267, 729, 21235, 610, 5833, 269, 31543, 16841, 338, 267, 543, 789, 616, 10250, 762, 610, 3651, 762, 547, 2472, 563, 31572, 707, 3790, 568, 6065, 569, 1271, 952, 596, 1378, 513, 5663, 1870, 267, 2094, 596, 3580, 991, 547, 4383, 1312, 1587, 543, 1974, 3790, 269, 8605, 3790, 267, 849, 1634, 607, 1463, 3790, 610, 23266, 4192, 3790, 267, 616, 2047, 1644, 547, 2504, 3977, 543, 616, 1031, 547, 5173, 519, 1942, 540, 5370, 4421, 269, 8605, 3790, 267, 593, 519, 824, 1688, 267, 616, 5115, 1388, 1242, 553, 11891, 593, 519, 3666, 6656, 269, 13583, 20445, 32259, 741, 6151, 2326, 11891, 2272, 950, 519, 6718, 568, 1500, 543, 5491, 741, 6666, 2272, 563, 24066, 6672, 540, 1974, 3790, 2337, 519, 2359, 547, 1832, 3950, 540, 519, 6378, 3790, 547, 581, 30309, 799, 616, 711, 1454, 6422, 538, 2470, 269, 1677, 3533, 2697, 952, 513, 1942, 568, 513, 1974, 1942, 610, 1587, 1942, 267, 2307, 519, 2243, 267, 968, 3674, 519, 1942, 2047, 610, 18549, 1644, 547, 519, 2504, 540, 2472, 286, 3683, 3650, 267, 610, 519, 3790, 547, 1832, 519, 8279, 593, 267, 865, 547, 3717, 267, 971, 607, 10626, 12014, 267, 6142, 267, 543, 10519, 267, 616, 711, 2047, 1644, 547, 2504, 269, 1717, 267, 891, 3790, 616, 1869, 6976, 1169, 1974, 267, 543, 865, 616, 1433, 539, 607, 1974, 3790, 269, 11270, 3790, 543, 1587, 3790, 616, 1079, 6688, 540, 3790, 585, 513, 2754, 602, 616, 30309, 538, 6721, 543, 9513, 741, 1587, 610, 3028, 563, 11795, 2397, 9737, 8605, 26959, 1656, 11270, 26959, 454, 2252, 596, 2461, 4058, 547, 1020, 1007, 2472, 267, 585, 1383, 267, 596, 666, 2503, 547, 1294, 606, 2333, 538, 1312, 1587, 543, 1974, 3790, 269, 2142, 5423, 547, 4383, 891, 9276, 543, 21138, 707, 2200, 9935, 269, 11270, 3790, 616, 1346, 3790, 602, 616, 711, 513, 2556, 851, 540, 519, 1184, 540, 6721, 513, 1587, 610, 3028, 547, 581, 4421, 269, 1306, 519, 2012, 10522, 267, 1974, 3790, 616, 6592, 607, 606, 13258, 538, 519, 4747, 3948, 538, 519, 1974, 602, 519, 1942, 568, 30309, 269, 1924, 267, 952, 596, 2628, 10519, 538, 4873, 267, 621, 779, 6592, 538, 519, 1974, 538, 799, 4873, 8813, 269, 0, 296, 337, 341, 710, 267, 2836, 604, 1421, 20029, 269, 476, 2641, 267, 476, 1708, 273, 1107, 12824, 693, 519, 2160, 540, 4993, 267, 7054, 341, 710, 543, 2185, 3084, 20682, 723, 25282, 513, 1259, 547, 1118, 16864, 23760, 6007, 18216, 3941, 1510, 1210, 524, 28240, 267, 513, 7777, 12735, 4240, 676, 3902, 25359, 543, 23786, 8374, 269, 769, 513, 1957, 3370, 2221, 538, 7186, 267, 519, 3744, 4766, 875, 789, 22848, 877, 8143, 543, 3114, 24578, 22817, 1128, 3809, 540, 18216, 3941, 7768, 15186, 540, 19695, 1107, 513, 1455, 12990, 585, 524, 28240, 1107, 676, 11544, 538, 1896, 824, 17285, 2609, 563, 12867, 693, 29078, 5069, 2023, 2160, 267, 3557, 2160, 540, 1715, 3840, 723, 2919, 513, 968, 680, 1872, 7146, 25178, 892, 1979, 984, 19495, 602, 16569, 585, 4374, 693, 513, 942, 543, 666, 581, 30528, 547, 2087, 3977, 6453, 543, 1699, 563, 2690, 2842, 11396, 267, 621, 568, 1271, 547, 1852, 25318, 18434, 538, 606, 3608, 6073, 865, 19654, 18434, 616, 711, 28148, 4299, 676, 25318, 12687, 2360, 269, 769, 519, 4750, 540, 24997, 543, 12655, 6052, 267, 3173, 1397, 602, 676, 8888, 27196, 1759, 593, 13156, 519, 2842, 3484, 1062, 607, 513, 13745, 3060, 267, 621, 568, 2009, 547, 1349, 1379, 811, 7561, 563, 2026, 16110, 21048, 2812, 922, 3167, 674, 5611, 267, 4639, 9098, 2160, 4966, 4063, 519, 6521, 689, 17405, 14617, 9817, 568, 711, 606, 2825, 3443, 25445, 538, 519, 2110, 2165, 267, 855, 3079, 786, 1611, 1713, 543, 14427, 18175, 10232, 547, 519, 4182, 779, 5989, 269, 595, 1746, 2487, 2621, 267, 7498, 296, 337, 341, 710, 267, 2836, 604, 1421, 4989, 476, 278, 267, 476, 1708, 272, 2443, 11374, 2063, 1032, 779, 3811, 10131, 540, 513, 2518, 3327, 6895, 3896, 547, 3950, 543, 4159, 8511, 3154, 5434, 689, 513, 3099, 540, 2959, 267, 606, 3486, 2319, 3366, 676, 3047, 1062, 3744, 689, 519, 2160, 540, 4993, 267, 7054, 341, 710, 568, 21048, 4979, 713, 3018, 513, 1007, 1239, 4199, 5059, 593, 519, 2136, 2276, 563, 2026, 21919, 8403, 20831, 11542, 22290, 9241, 2220, 1941, 2987, 5518, 15608, 24068, 2063, 3018, 267, 782, 4064, 941, 593, 1200, 607, 1352, 1500, 1686, 607, 519, 4182, 779, 1101, 4775, 13030, 7022, 269, 1809, 267, 1454, 899, 824, 7986, 2021, 945, 723, 15336, 519, 31508, 540, 519, 6519, 5600, 1354, 1200, 267, 2686, 4966, 2503, 602, 972, 786, 581, 1175, 607, 1454, 1445, 593, 1200, 6752, 6898, 607, 593, 1200, 2797, 3283, 2443, 543, 519, 22987, 949, 581, 14556, 1881, 607, 519, 1101, 4807, 543, 1268, 540, 2681, 538, 519, 966, 303, 2990, 3217, 593, 11475, 4478, 16402, 1417, 878, 4441, 540, 5898, 563, 299, 603, 1756, 23760, 9075, 616, 519, 2101, 22507, 762, 1379, 2707, 585, 1082, 15409, 3457, 607, 1134, 607, 3167, 6472, 267, 855, 741, 946, 568, 3908, 267, 1317, 789, 798, 711, 1683, 1164, 1379, 3977, 1247, 8195, 3850, 31181, 1648, 4859, 269, 3194, 4080, 538, 11930, 8212, 17352, 6663, 547, 2709, 513, 3070, 676, 6029, 875, 519, 10014, 540, 25801, 6445, 619, 10607, 6007, 2773, 563, 301, 532, 31481, 689, 29078, 5069, 2023, 2160, 267, 3557, 2160, 540, 1715, 3840, 4607, 513, 2817, 3163, 7690, 630, 10064, 293, 264, 595, 22664, 2207, 13815, 547, 1683, 513, 476, 2641, 560, 10601, 5075, 585, 1379, 1949, 563, 296, 337, 341, 710, 267, 2836, 604, 1421, 4119, 269, 476, 1240, 267, 476, 1708, 271, 1107, 15536, 14428, 9713, 1949, 3354, 3173, 693, 519, 2160, 540, 4993, 267, 7054, 341, 710, 666, 7519, 519, 8647, 540, 513, 1379, 7470, 1210, 827, 1269, 2004, 4502, 540, 3937, 512, 26786, 3330, 513, 25551, 6995, 7484, 269, 769, 513, 6881, 9447, 693, 519, 2487, 2974, 523, 1460, 8232, 476, 1708, 271, 10554, 267, 15011, 13758, 1325, 10787, 340, 4302, 267, 772, 5746, 12314, 7548, 540, 5122, 4702, 1299, 2780, 2257, 267, 543, 1010, 2319, 7000, 602, 519, 24401, 1993, 532, 7271, 666, 5352, 513, 476, 3953, 2600, 1689, 538, 3977, 6453, 267, 513, 476, 1220, 2600, 2333, 538, 1970, 23151, 2800, 9582, 1379, 543, 513, 476, 7742, 2600, 5818, 538, 1483, 1379, 689, 513, 3859, 28860, 563, 294, 1905, 515, 928, 267, 606, 5393, 6094, 1079, 8820, 4494, 540, 519, 27948, 1031, 538, 22796, 267, 11369, 956, 950, 22799, 1247, 7923, 547, 513, 6366, 2627, 267, 4611, 538, 4190, 533, 27462, 3270, 602, 1223, 4324, 519, 3406, 585, 3209, 7061, 2326, 543, 21367, 832, 267, 2687, 547, 31089, 7970, 21445, 1382, 538, 519, 4760, 7186, 269, 17747, 2326, 3984, 9244, 15025, 9211, 609, 2027, 3601, 267, 971, 607, 1303, 22931, 24551, 267, 602, 1223, 1683, 2679, 7161, 585, 2706, 1922, 770, 7061, 5904, 269, 1358, 849, 666, 1831, 21367, 832, 602, 1223, 1793, 1662, 1648, 4616, 676, 1818, 1379, 6771, 543, 5907, 3457, 811, 3608, 563, 12867, 693, 519, 4972, 540, 6052, 779, 18718, 23374, 2817, 12524, 616, 17975, 741, 1374, 540, 513, 476, 274, 291, 268, 2745, 539, 6046, 19720, 4295, 267, 18440, 909, 519, 19605, 5663, 1184, 2556, 547, 1628, 621, 267, 543, 3384, 2409, 547, 6166, 519, 11007, 543, 10727, 540, 922, 9102, 3334, 563, 12867, 689, 595, 308, 645, 30629, 723, 2813, 513, 1970, 21057, 3859, 1591, 609, 835, 540, 519, 5207, 1379, 8410, 11437, 31931, 547, 4266, 267, 676, 2482, 1359, 2281, 543, 1210, 513, 2189, 4999, 540, 2609, 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 ]
[ 267, 11378, 17342, 279, 8079, 2652, 1496, 1911, 271, 2639, 16386, 2196, 318, 32491, 7272, 273, 6025, 652, 267, 11378, 17342, 280, 8079, 2652, 1496, 1911, 272, 6540, 692, 6358, 815, 1412, 8339, 21860, 263, 13449, 2891, 6358, 17902, 2580, 834, 337, 20257, 1348, 6050, 15405, 2745, 263, 14725, 318, 32491, 7272, 273, 9272, 267, 11378, 17342, 276, 8079, 314, 271, 7481, 0, 26611, 23591, 24800, 270, 7090, 692, 258, 1403, 596, 991, 547, 946, 20231, 3044, 26571, 267, 4756, 26571, 607, 1134, 607, 737, 342, 16911, 2676, 258, 596, 991, 547, 946, 873, 538, 519, 1739, 1931, 912, 258, 567, 910, 31901, 6635, 7714, 267, 2608, 16911, 267, 2878, 29220, 16911, 692, 3698, 6404, 318, 16911, 6600, 1009, 19152, 25716, 267, 2034, 19152, 25716, 267, 2608, 16911, 267, 2878, 29220, 16911, 17107, 825, 1820, 27719, 333, 24092, 2415, 281, 4840, 825, 952, 1101, 19152, 912, 1038, 1820, 1412, 910, 4939, 338, 1412, 4939, 1101, 19152, 454, 825, 952, 2034, 19152, 912, 1038, 1820, 1412, 910, 4939, 338, 1412, 4939, 2034, 19152, 692, 825, 1820, 27719, 333, 24868, 762, 26571, 281, 4840, 825, 585, 513, 538, 26571, 912, 1038, 1820, 1412, 910, 4939, 338, 262, 4939, 513, 692, 825, 1820, 27719, 333, 24868, 762, 737, 342, 16911, 281, 4840, 825, 585, 1883, 267, 7407, 538, 737, 342, 16911, 269, 3438, 19477, 10031, 1038, 1820, 1412, 910, 4939, 338, 281, 4939, 338, 262, 4939, 630, 4486, 267, 7407, 9239, 258, 4530, 621, 856, 454, 332, 12089, 318, 16911, 3488, 5575, 3299, 1412, 13553, 3299, 1412, 3240, 3299, 1412, 19702, 762, 3299, 1412, 16911, 3299, 2012, 8782, 310, 17673, 3299, 19463, 8782, 25988, 5073, 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 258, 12916, 379, 17958, 5124, 476, 13200, 509, 29873, 32352, 25263, 376, 30678, 31284, 18713, 378, 18809, 7511, 21211, 30006, 491, 421, 359, 490, 13644, 479, 419, 510, 479, 18713, 378, 29830, 485, 692, 5228, 623, 6579, 1104, 12005, 267, 15862, 293, 2632, 267, 15862, 19352, 267, 15862, 23742, 614, 454, 5814, 5569, 454, 5814, 4351, 454, 5814, 15259, 692, 3698, 5352, 318, 2246, 5782, 545, 1712, 10031, 825, 1820, 834, 31435, 1158, 4840, 825, 1948, 1820, 10443, 26716, 4069, 30415, 269, 30913, 328, 318, 24393, 264, 16088, 421, 504, 493, 10951, 374, 22047, 420, 489, 365, 24757, 21211, 30006, 491, 454, 825, 1948, 1775, 538, 2039, 263, 275, 264, 16088, 421, 504, 493, 10951, 374, 13200, 509, 29873, 18713, 505, 14748, 12255, 21211, 315, 454, 825, 1948, 1496, 12690, 26716, 4069, 30415, 269, 30913, 328, 318, 24393, 264, 585, 1775, 538, 2039, 263, 275, 13580, 2433, 13200, 509, 29873, 421, 504, 493, 10951, 374, 7511, 18713, 505, 14748, 12255, 21211, 8147, 23946, 370, 13213, 498, 18713, 508, 22047, 4289, 454, 825, 1948, 1412, 8339, 21860, 476, 476, 9463, 500, 24731, 4289, 18809, 7511, 30006, 493, 14748, 30317, 27381, 510, 8147, 418, 489, 376, 26406, 354, 13200, 509, 29873, 21211, 31033, 4970, 366, 454, 825, 5022, 815, 1412, 8339, 21860, 8443, 12690, 26716, 4069, 30415, 269, 30913, 328, 318, 24393, 264, 585, 1775, 538, 2039, 263, 275, 264, 7481, 825, 1820, 5022, 692, 825, 1948, 5590, 519, 2450, 540, 519, 3239, 454, 825, 8700, 815, 476, 1911, 454, 825, 4463, 815, 476, 2412, 692, 825, 1948, 5590, 519, 2450, 540, 519, 3239, 454, 825, 708, 815, 12005, 269, 2908, 2891, 305, 16412, 2580, 263, 12296, 267, 19417, 32140, 14838, 267, 14838, 267, 14838, 11723, 825, 1948, 8571, 5022, 593, 519, 3239, 454, 825, 1948, 476, 10254, 505, 417, 375, 374, 19352, 28098, 420, 365, 350, 912, 825, 1743, 815, 12005, 19352, 6185, 3863, 263, 574, 2020, 825, 1948, 476, 10254, 505, 417, 375, 374, 293, 2632, 28098, 420, 365, 350, 912, 825, 13944, 815, 12005, 293, 2632, 6745, 745, 1214, 701, 2891, 25106, 269, 1777, 325, 2580, 476, 1789, 2020, 825, 585, 1775, 538, 2039, 263, 275, 2187, 1038, 1743, 269, 3667, 9230, 276, 1341, 1775, 2608, 476, 736, 267, 476, 276, 1070, 5022, 5157, 3910, 630, 12690, 27110, 263, 271, 267, 476, 14838, 1070, 4351, 27110, 263, 271, 267, 476, 14838, 1070, 4351, 27110, 263, 271, 267, 476, 14838, 24270, 325, 2632, 994, 825, 1642, 1743, 692, 825, 1948, 7827, 519, 4282, 2681, 454, 825, 585, 1535, 538, 2039, 263, 12296, 2187, 1038, 585, 586, 538, 2039, 630, 19417, 2187, 2018, 952, 708, 10947, 335, 31242, 9230, 343, 267, 586, 4297, 2652, 630, 14838, 267, 476, 14838, 267, 476, 14838, 2187, 3546, 708, 269, 1584, 335, 31242, 9230, 343, 267, 586, 1070, 630, 12690, 27110, 263, 271, 267, 476, 14838, 1070, 4351, 27110, 263, 271, 267, 476, 14838, 1070, 4351, 27110, 263, 271, 267, 476, 14838, 4297, 2020, 825, 1948, 4688, 519, 3239, 692, 825, 1948, 420, 492, 371, 9463, 500, 25051, 497, 31176, 491, 25203, 362, 25051, 499, 7511, 31968, 13601, 419, 374, 356, 25203, 362, 25051, 499, 454, 825, 1699, 291, 597, 815, 15259, 29624, 6155, 597, 4067, 263, 657, 10947, 322, 23424, 15405, 825, 1820, 1699, 291, 597, 454, 825, 1948, 418, 489, 376, 26406, 354, 25203, 362, 25051, 499, 454, 825, 1699, 303, 545, 291, 597, 815, 15259, 29624, 12459, 7765, 263, 9690, 291, 597, 10086, 13548, 11138, 11687, 1015, 318, 272, 26666, 5073, 825, 1820, 1699, 303, 545, 291, 597, 692, 825, 1948, 28098, 18713, 378, 417, 481, 493, 13213, 505, 27310, 418, 357, 350, 419, 367, 488, 14035, 482, 419, 494, 484, 454, 825, 708, 815, 708, 8807, 559, 614, 263, 15862, 23742, 614, 11065, 299, 7838, 2020, 825, 1948, 13127, 364, 484, 574, 28098, 420, 365, 350, 32517, 507, 11858, 502, 21928, 24757, 10524, 370, 454, 825, 708, 4732, 1511, 263, 9690, 303, 545, 291, 597, 2020, 692, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 5352, 318, 2246, 5782, 545, 1712, 4590, 0, 5814, 20369, 19817, 326, 273, 454, 5228, 13483, 331, 531, 17057, 344, 1104, 1711, 318, 19956, 454, 5814, 15259, 454, 5228, 15259, 1104, 679, 1333, 454, 5814, 5728, 692, 258, 1703, 616, 1079, 1114, 25654, 538, 799, 9226, 666, 1921, 547, 519, 2022, 326, 637, 24563, 269, 476, 2290, 540, 873, 568, 20369, 19817, 326, 273, 543, 519, 824, 568, 13483, 331, 531, 17057, 344, 269, 476, 1703, 616, 5634, 3604, 547, 1312, 540, 873, 780, 258, 901, 568, 519, 20369, 19817, 326, 273, 1505, 692, 339, 787, 912, 825, 4276, 815, 20369, 19817, 326, 273, 269, 6618, 263, 12528, 815, 834, 338, 27942, 343, 600, 18676, 1470, 325, 773, 20350, 14030, 476, 10957, 815, 834, 10436, 321, 28766, 1030, 275, 2041, 272, 26501, 10619, 323, 8517, 4510, 273, 1815, 4206, 324, 13893, 8064, 274, 274, 324, 14338, 7176, 322, 3607, 320, 276, 3451, 274, 323, 277, 320, 274, 325, 4206, 9536, 322, 2767, 321, 280, 323, 20350, 14030, 476, 3984, 815, 834, 1815, 273, 268, 7918, 268, 10695, 268, 2004, 268, 14690, 2593, 335, 1393, 268, 272, 269, 600, 7571, 9155, 2593, 20350, 14030, 476, 2823, 815, 834, 276, 6246, 273, 20350, 14030, 476, 6538, 815, 834, 323, 3451, 2741, 31389, 3066, 333, 6246, 328, 274, 5602, 825, 23684, 815, 4276, 269, 19387, 4590, 825, 1948, 7179, 5403, 26572, 21415, 17583, 3601, 454, 825, 1820, 2891, 3519, 3825, 3811, 8442, 672, 3097, 825, 23684, 20216, 31146, 2891, 10345, 22268, 2608, 20978, 3755, 282, 8442, 3097, 825, 2594, 815, 23684, 8807, 21255, 718, 4590, 825, 1820, 263, 13440, 867, 994, 21955, 630, 2750, 4003, 267, 20369, 19817, 326, 273, 9950, 337, 2928, 264, 607, 5470, 10778, 825, 1820, 9497, 13286, 1247, 8220, 547, 5403, 26572, 21415, 2580, 5470, 9239, 258, 901, 568, 519, 13483, 331, 531, 17057, 344, 1505, 692, 12528, 5091, 520, 15390, 318, 14766, 815, 679, 1333, 10947, 3488, 291, 2969, 5723, 17955, 318, 7838, 299, 3299, 5728, 269, 12528, 5091, 520, 15390, 318, 14766, 994, 19956, 815, 1711, 318, 19956, 263, 12528, 5091, 520, 15390, 318, 14766, 994, 28947, 815, 2599, 269, 6618, 4590, 2745, 2891, 3519, 3825, 1210, 13483, 331, 531, 17057, 344, 568, 849, 3811, 5602, 14310, 815, 4276, 20216, 31146, 2891, 572, 937, 2608, 689, 3755, 5602, 1721, 4737, 538, 1267, 912, 825, 1820, 2891, 22852, 24333, 4737, 9131, 16942, 262, 7481, 28947, 25379, 4590, 0, 5035, 11711, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 3758, 12949, 267, 7154, 8782, 337, 262, 2187, 1038, 1582, 8807, 850, 12949, 815, 3758, 12949, 454, 1038, 1582, 6230, 1712, 815, 7154, 692, 1038, 1582, 11519, 12803, 815, 7183, 692, 825, 1219, 6449, 10938, 9191, 1345, 2187, 1038, 1582, 11519, 12803, 815, 1930, 4311, 8807, 850, 12949, 267, 1582, 6230, 1712, 994, 1038, 2132, 1582, 692, 825, 1219, 6449, 1410, 527, 9191, 1345, 267, 1163, 25292, 267, 1163, 19056, 267, 1163, 4671, 15869, 3724, 2187, 1038, 1582, 11519, 12803, 25379, 4590, 1038, 1948, 2132, 6936, 476, 1948, 1401, 8526, 616, 17411, 543, 519, 3758, 6806, 780, 825, 1219, 2328, 4311, 267, 1543, 2187, 1038, 1582, 11519, 12803, 22182, 263, 20880, 9239, 3698, 1292, 10031, 825, 609, 11711, 3488, 9987, 17902, 3299, 1412, 342, 10807, 607, 3758, 318, 912, 1038, 3758, 318, 269, 31095, 3488, 5575, 1899, 14826, 5073, 1038, 3758, 318, 269, 31095, 3488, 13553, 1899, 14826, 262, 9239, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1292, 4590, 0, 26611, 23591, 24800, 19841, 341, 9226, 274, 454, 18411, 5353, 3005, 4990, 454, 18257, 7531, 3698, 5542, 5334, 677, 16325, 8217, 264, 10778, 825, 23288, 825, 19139, 4990, 454, 825, 15981, 692, 825, 585, 1775, 538, 2039, 12759, 16325, 8217, 4297, 10778, 1038, 9803, 815, 1003, 8217, 5157, 2639, 1038, 1064, 815, 1775, 454, 1038, 585, 795, 538, 2039, 9217, 266, 272, 267, 7003, 16325, 8217, 4297, 10778, 2018, 952, 1003, 8217, 14728, 316, 2999, 9803, 10778, 3546, 9803, 815, 1003, 8217, 14728, 2639, 3546, 1064, 815, 795, 454, 1038, 1003, 8217, 27044, 9217, 267, 1003, 8217, 21014, 263, 1842, 4917, 825, 2132, 1003, 8217, 7531, 3698, 1449, 26000, 3005, 5334, 677, 10031, 825, 23288, 825, 4530, 5542, 5334, 677, 4590, 825, 23288, 825, 1239, 815, 1592, 263, 9792, 263, 1911, 271, 4917, 825, 1104, 4351, 454, 825, 4351, 11075, 28984, 16597, 994, 825, 7682, 5542, 5334, 677, 16597, 264, 2652, 1592, 263, 9792, 263, 1911, 271, 4917, 0, 3240, 17504, 815, 834, 31435, 257, 5897, 577, 4069, 815, 3403, 2891, 13911, 513, 2262, 281, 834, 3418, 604, 3903, 2652, 1250, 17504, 6769, 13537, 2891, 2005, 781, 513, 6474, 14744, 12828, 6769, 13537, 2891, 8253, 513, 6474, 14744, 24653, 258, 875, 547, 2638, 952, 513, 4484, 568, 538, 513, 2262, 5897, 12072, 815, 3403, 2891, 11767, 513, 4484, 281, 834, 10142, 604, 4484, 538, 1250, 17504, 6769, 13537, 2891, 4131, 614, 568, 538, 2262, 14744, 12828, 6769, 13537, 2891, 4131, 614, 568, 711, 538, 2262, 257, 10142, 12248, 815, 476, 271, 1477, 1721, 4484, 538, 1250, 17504, 6769, 14851, 4484, 2652, 3903, 6769, 453, 13537, 6262, 870, 3418, 453, 12248, 2652, 476, 272, 5897, 258, 875, 547, 1689, 513, 5569, 883, 513, 1592, 1477, 3240, 21803, 815, 834, 288, 13252, 29177, 3240, 20712, 17504, 815, 1592, 30044, 21803, 3418, 2745, 30044, 20712, 17504, 3418, 29674, 8266, 815, 32582, 5897, 258, 1215, 547, 1118, 513, 1592, 609, 1412, 318, 262, 585, 3197, 1477, 1721, 4484, 538, 9814, 17504, 1477, 453, 29674, 8266, 6910, 2891, 318, 257, 10142, 2745, 263, 29674, 8266, 10142, 258, 1215, 547, 5372, 513, 1808, 4994, 538, 513, 1592, 1477, 29674, 8266, 314, 274, 316, 815, 834, 345, 257, 5897, 2745, 263, 29674, 8266, 10142, 572, 4038, 17504, 815, 834, 13731, 5733, 29177, 572, 4038, 17504, 815, 1592, 263, 572, 4038, 17504, 3418, 2745, 263, 572, 4038, 17504, 3418, 332, 1170, 525, 815, 476, 271, 1477, 28702, 2006, 815, 22373, 14140, 20266, 2580, 834, 16149, 16514, 19312, 5897, 29674, 815, 3403, 2891, 10817, 612, 513, 4484, 281, 834, 10142, 604, 7058, 538, 5728, 17504, 6769, 13537, 2891, 12072, 538, 2262, 14744, 12828, 6769, 453, 332, 1170, 525, 815, 4413, 525, 1341, 476, 272, 5897, 2745, 2891, 29309, 525, 281, 834, 1341, 1193, 9852, 1170, 525, 17903, 2745, 22607, 836, 2006, 314, 332, 1170, 525, 8079 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 949, 713, 4199, 1592, 3565, 547, 3860, 21769, 799, 786, 2087, 4093, 585, 476, 273, 324, 1053, 563, 290, 27821, 15966, 583, 2559, 568, 3158, 547, 513, 476, 273, 324, 7141, 543, 5449, 2790, 1072, 3318, 269, 2701, 13736, 19933, 19072, 913, 618, 10657, 585, 476, 1015, 1296, 269, 2701, 814, 849, 2944, 3318, 11049, 543, 1382, 267, 2523, 538, 2543, 547, 519, 11300, 8551, 26935, 625, 269, 6869, 328, 6192, 519, 654, 296, 16890, 538, 31197, 1982, 538, 476, 1001, 275, 269, 4173, 2127, 540, 6791, 1331, 1426, 11959, 267, 3987, 267, 22192, 1893, 4713, 267, 13560, 6794, 267, 11838, 267, 1306, 704, 3455, 779, 267, 543, 8791, 476, 27843, 269, 2701, 568, 1869, 3478, 909, 547, 3432, 593, 476, 273, 324, 543, 1603, 4713, 563, 7021, 519, 1296, 267, 594, 723, 5249, 609, 7366, 540, 19366, 1053, 267, 1082, 540, 873, 22064, 267, 4171, 2984, 979, 3564, 32616, 673, 6386, 5143, 676, 519, 2923, 269, 4256, 2984, 267, 9909, 543, 13821, 547, 8011, 2099, 519, 824, 2427, 540, 741, 1650, 269, 634, 5168, 568, 602, 1034, 19366, 2984, 616, 18106, 269, 1358, 616, 18106, 1317, 789, 616, 1419, 5143, 689, 519, 5133, 540, 1346, 945, 1413, 693, 891, 1053, 689, 519, 13020, 344, 540, 2486, 269, 1703, 616, 2053, 950, 10213, 513, 1650, 649, 3442, 1018, 547, 2328, 267, 799, 3877, 547, 522, 2466, 267, 543, 811, 11932, 1018, 3239, 649, 1616, 547, 9446, 269, 1284, 2661, 538, 513, 2486, 540, 18106, 2984, 269, 8616, 267, 621, 568, 2182, 547, 3247, 543, 1589, 540, 519, 824, 2427, 540, 602, 1650, 269, 3776, 2729, 267, 938, 4529, 616, 7768, 540, 1082, 20718, 3309, 2984, 269, 23397, 626, 932, 574, 600, 7701, 1520, 747, 773, 6645, 519, 1650, 540, 875, 1352, 1336, 1200, 8076, 2686, 5639, 543, 29808, 602, 952, 649, 5873, 1152, 513, 2582, 1650, 827, 1776, 1268, 610, 2197, 267, 649, 1981, 513, 2565, 3765, 24483, 269, 769, 1200, 2239, 1352, 9356, 593, 875, 10213, 513, 2582, 1650, 1223, 581, 26568, 543, 24037, 267, 2523, 585, 1453, 563, 2026, 606, 19829, 594, 723, 4121, 547, 3605, 519, 2150, 1245, 2984, 540, 19366, 1453, 4171, 6043, 267, 10100, 543, 15421, 979, 3564, 513, 6003, 649, 11082, 4309, 2390, 12625, 269, 17497, 267, 1082, 540, 891, 19366, 1453, 616, 1373, 15763, 543, 796, 30009, 267, 538, 851, 1317, 7855, 3111, 547, 1294, 519, 824, 2427, 540, 741, 2984, 269, 4793, 878, 807, 717, 663, 4673, 630, 763, 1761, 543, 8871, 1047, 540, 21337, 4841, 267, 476, 1220, 278, 1070, 2798, 856, 602, 14669, 547, 17211, 5380, 267, 19366, 1053, 4865, 513, 1305, 540, 2189, 4162, 269, 634, 2947, 4162, 602, 616, 6093, 540, 1082, 19366, 1053, 616, 513, 10319, 10066, 547, 1565, 267, 6043, 267, 19366, 27277, 267, 18371, 5380, 267, 543, 1617, 13308, 1143, 269, 3509, 540, 891, 4162, 616, 4121, 543, 2919, 607, 789, 2119, 547, 15849, 30968, 538, 513, 8185, 7292, 1242, 2486, 269, 1280, 1383, 267, 1317, 11082, 3112, 7048, 593, 519, 3339, 13467, 540, 741, 4630, 601, 1343, 543, 1590, 3082, 547, 1007, 6381, 543, 6788, 269, 5753, 1451, 547, 581, 14388, 543, 10770, 538, 519, 3068, 540, 14488, 269, 901, 18094, 543, 6043, 547, 8011, 5012, 547, 4514, 1565, 269, 1280, 1383, 267, 2034, 5108, 19366, 1053, 4043, 547, 856, 704, 845, 7766, 5481, 27268, 267, 538, 19220, 540, 1893, 3604, 543, 2686, 7496, 269, 901, 7613, 814, 1044, 13042, 19366, 27277, 267, 538, 799, 891, 1053, 267, 2921, 513, 29692, 689, 741, 19366, 3237, 267, 2097, 547, 581, 3020, 21071, 538, 519, 1977, 5326, 543, 11441, 547, 8275, 621, 267, 27109, 9058, 8404, 563, 3383, 1018, 666, 7855, 798, 286, 11334, 723, 606, 5863, 1379, 547, 1689, 13416, 11407, 543, 6386, 540, 11082, 269, 11334, 666, 20741, 519, 7221, 543, 15421, 891, 1053, 3142, 547, 1153, 267, 971, 607, 741, 30840, 543, 519, 18094, 789, 723, 3254, 538, 2352, 6381, 269, 11334, 666, 8661, 519, 2686, 2853, 602, 723, 16138, 1639, 19366, 2950, 269, 11334, 666, 4196, 607, 519, 2686, 2156, 24329, 267, 16779, 1053, 543, 4101, 25302, 6386, 649, 1419, 5873, 269, 1358, 666, 2327, 602, 1373, 13042, 606, 2296, 1893, 15226, 610, 19366, 1281, 711, 3970, 513, 2875, 779, 1569, 547, 782, 519, 6030, 543, 3255, 602, 2296, 10529, 2972, 269, 1809, 267, 5310, 1256, 811, 11932, 267, 1018, 4116, 1058, 798, 568, 547, 2057, 519, 8594, 18468, 543, 10213, 513, 2582, 1650, 2336, 1607, 8360, 814, 1044, 1031, 538, 6725, 585, 1296, 269, 769, 519, 476, 4572, 271, 779, 621, 729, 1101, 1031, 454, 1260, 14293, 569, 547, 6133, 519, 8841, 15571, 269, 21298, 267, 621, 814, 1831, 547, 1611, 1945, 649, 454, 516, 958, 1810, 1406, 1616, 547, 1995, 1586, 281, 606, 22350, 2911, 894, 2875, 610, 26393, 945, 454, 325, 18526, 3423, 919, 519, 570, 11085, 4687, 4341, 282, 513, 11993, 540, 513, 1286, 596, 666, 1406, 6488, 547, 5372, 282, 606, 454, 655, 10056, 602, 7252, 693, 782, 519, 4636, 2053, 269, 769, 713, 4005, 950, 1932, 1082, 1919, 454, 12047, 663, 938, 3007, 543, 519, 3017, 1063, 4758, 543, 9140, 568, 7168, 1159, 644, 3022, 2676, 527, 568, 26656, 547, 1289, 3007, 547, 513, 10516, 602, 1281, 1832, 4758, 281, 7279, 563, 8310, 1032, 594, 16686, 2390, 513, 3896, 1572, 968, 763, 8866, 9701, 6423, 901, 1848, 594, 9896, 454, 1575, 269, 5272, 3018, 594, 4309, 1896, 2370, 7044, 610, 642, 793, 22863, 602, 7866, 1945, 11207, 454, 322, 944, 269, 4495, 621, 729, 513, 17157, 689, 513, 24898, 24755, 680, 514, 7260, 282, 1776, 942, 621, 729, 513, 3381, 538, 454, 9418, 942, 540, 513, 16313, 21956, 541, 4657, 883, 513, 669, 787, 15680, 529, 269, 3807, 4241, 1919, 538, 454, 712, 1158, 602, 1118, 596, 979, 968, 310, 8582, 17373, 3143, 4245, 267, 1100, 26069, 547, 2661, 676, 910, 1175, 2731, 3579, 454, 560, 4428, 269, 594, 1131, 2671, 873, 12212, 267, 855, 4769, 1406, 2731, 1589, 540, 873, 607, 606, 1271, 454, 14048, 1907, 269, 2991, 782, 267, 3388, 649, 798, 814, 547, 723, 513, 3483, 267, 1318, 888, 294, 9512, 9650, 3553, 568, 519, 1699, 5172, 3364, 538, 1402, 2528, 543, 2069, 269, 1656, 594, 454, 10964, 10079, 602, 621, 568, 16122, 602, 649, 782, 2119, 547, 723, 835, 543, 4001, 621, 547, 938, 3214, 269, 1809, 454, 29019, 333, 1406, 649, 849, 2119, 547, 1128, 650, 513, 4898, 543, 7279, 827, 938, 1158, 286, 769, 1250, 2247, 2676, 29006, 1079, 2035, 979, 1688, 538, 1688, 269, 1677, 723, 513, 7279, 827, 1945, 786, 2014, 454, 821, 547, 1332, 563, 8855, 8496, 5202, 28865, 779, 9027, 2218, 1305, 286, 10925, 513, 8095, 593, 621, 543, 1397, 707, 454, 29324, 1945, 9735, 543, 3078, 1175, 585, 519, 646, 1188, 540, 621, 256, 8058, 873, 606, 5863, 454, 534, 2711, 3257, 1945, 538, 3500, 2173, 10056, 610, 513, 7206, 676, 595, 842, 320, 966, 10537, 269, 5192, 707, 1053, 454, 1729, 4898, 875, 1945, 4523, 610, 875, 2576, 1223, 7654, 1711, 971, 513, 454, 335, 31021, 543, 1946, 269, 594, 3323, 547, 1397, 1250, 1053, 1919, 602, 533, 31985, 1250, 7279, 693, 519, 454, 754, 540, 938, 1895, 2053, 269, 1284, 1413, 693, 621, 1927, 585, 513, 7008, 3764, 267, 543, 789, 4734, 938, 454, 1652, 976, 8049, 543, 6158, 827, 1018, 649, 1185, 1175, 4810, 1927, 563, 2171, 917, 513, 2603, 827, 22064, 3214, 543, 2119, 2731, 2182, 547, 2743, 741, 4081, 454, 577, 718, 10622, 543, 1514, 2115, 269, 8616, 267, 594, 1419, 1745, 602, 1018, 2115, 8034, 2454, 568, 513, 2178, 454, 338, 1619, 540, 7279, 269, 2334, 786, 4196, 873, 585, 519, 1964, 540, 741, 2729, 563, 4462, 1652, 596, 941, 538, 1250, 13188, 1362, 693, 8751, 1695, 1177, 330, 4400, 3427, 267, 519, 1913, 968, 11045, 569, 543, 24637, 7420, 892, 4440, 1810, 1406, 1205, 596, 9599, 269, 1411, 1810, 1406, 1376, 24852, 267, 610, 24373, 267, 610, 4881, 998, 1585, 2804, 7653, 538, 707, 2212, 269, 1809, 594, 666, 1869, 3314, 875, 9599, 594, 729, 585, 602, 4081, 6735, 267, 543, 875, 7118, 652, 569, 594, 1185, 5423, 585, 621, 563, 3849, 4784, 569, 267, 891, 6547, 14201, 1406, 11207, 2189, 269, 2986, 1576, 594, 8910, 6594, 1354, 267, 543, 5433, 8401, 1354, 11400, 269, 2334, 666, 581, 11911, 547, 1250, 4677, 8686, 926, 1214, 1449, 4160, 269, 3143, 2339, 875, 2182, 594, 6594, 267, 972, 729, 2141, 519, 7872, 602, 594, 8910, 723, 606, 540, 892, 1554, 267, 835, 476, 2004, 18826, 1974, 540, 942, 1141, 594, 8910, 6749, 519, 3440, 267, 6336, 1445, 610, 2721, 513, 10145, 267, 543, 621, 1131, 9048, 1706, 2406, 25010, 1250, 1164, 1153, 2594, 269, 1809, 713, 4062, 3884, 1406, 827, 9344, 543, 875, 1454, 594, 3138, 7752, 873, 269, 769, 1249, 267, 519, 18242, 543, 24637, 7420, 1185, 4986, 547, 798, 609, 9344, 563, 2005, 7012, 1406, 606, 981, 540, 1022, 2186, 267, 1175, 513, 1259, 585, 721, 547, 1353, 269, 2353, 649, 968, 17495, 892, 547, 798, 729, 7119, 543, 2285, 606, 9237, 4674, 267, 855, 7041, 3544, 540, 1362, 729, 18593, 269, 8409, 945, 12628, 856, 540, 519, 6735, 5612, 1310, 835, 5180, 941, 2016, 519, 1482, 7589, 3446, 607, 1346, 945, 4465, 519, 2898, 3364, 563, 2467, 7012, 1406, 606, 8763, 24539, 547, 2866, 585, 519, 18242, 543, 24637, 7420, 267, 711, 1256, 3063, 5491, 269, 23560, 1134, 538, 519, 4161, 1152, 5921, 3257, 811, 960, 267, 3257, 811, 3761, 24683, 663, 2042, 267, 5373, 811, 11708, 269, 12736, 940, 729, 930, 8007, 538, 540, 3294, 267, 594, 7058, 267, 855, 865, 729, 3478, 547, 1694, 998, 513, 1362, 1974, 543, 6001, 585, 606, 5662, 269, 1924, 267, 1287, 267, 1946, 941, 1034, 540, 1250, 9905, 543, 594, 865, 9599, 267, 865, 9141, 547, 798, 1134, 538, 713, 4161, 267, 950, 782, 621, 1303, 9229, 729, 2324, 9875, 888, 10303, 585, 2899, 267, 519, 3214, 945, 4941, 547, 2119, 2182, 941, 3478, 27749, 3007, 267, 711, 1447, 563, 293, 22324, 875, 621, 779, 2356, 519, 824, 1259, 1472, 267, 1318, 286, 1809, 621, 2306, 2631, 281, 952, 835, 2875, 3884, 1406, 3257, 741, 960, 543, 519, 1964, 540, 519, 1053, 616, 267, 602, 835, 2875, 779, 2469, 547, 1205, 1034, 540, 519, 4116, 779, 3007, 269, 3502, 1317, 789, 4076, 2944, 4376, 547, 17330, 621, 267, 855, 1317, 519, 4116, 814, 547, 1832, 1362, 3001, 543, 1118, 2386, 1100, 835, 4991, 2451, 3297, 563, 4517, 1491, 1079, 1053, 945, 616, 1312, 10010, 538, 519, 1482, 1362, 269, 634, 1101, 2875, 2090, 519, 1570, 593, 741, 1378, 942, 267, 5654, 909, 7044, 2228, 267, 543, 3217, 2259, 4255, 267, 543, 519, 2034, 2875, 3085, 1406, 269, 27814, 519, 4116, 1131, 581, 2111, 547, 3914, 856, 547, 1312, 10010, 1053, 267, 855, 952, 789, 1152, 723, 942, 585, 835, 267, 789, 3580, 979, 547, 519, 2034, 2875, 269, 11088, 267, 1152, 1317, 621, 779, 2556, 267, 711, 1317, 621, 779, 4023, 563, 296, 917, 602, 779, 606, 936, 13678, 680, 2305, 267, 543, 594, 6557, 711, 3843, 547, 12235, 1022, 12094, 593, 3610, 585, 3168, 1310, 10010, 1053, 269, 898, 779, 741, 2816, 267, 1310, 782, 267, 543, 1034, 3610, 616, 24077, 693, 621, 269, 1809, 693, 519, 1439, 540, 519, 1554, 267, 519, 811, 513, 2875, 568, 2111, 547, 9585, 593, 741, 1378, 734, 31347, 676, 2067, 2702, 267, 3063, 4674, 267, 610, 930, 4999, 540, 519, 1079, 734, 1492, 1447, 519, 4116, 2115, 547, 798, 585, 873, 269, 1656, 602, 779, 9985, 5386, 1862, 604, 782, 596, 2461, 7255, 827, 568, 9344, 269, 1403, 513, 4116, 779, 3007, 729, 5258, 1759, 593, 18515, 547, 1451, 267, 7488, 540, 1141, 519, 2875, 8593, 593, 519, 11350, 7455, 267, 594, 1589, 621, 1131, 581, 513, 1114, 1650, 563, 7617, 568, 1946, 634, 18242, 543, 24637, 7420, 729, 865, 2027, 543, 3078, 267, 1256, 952, 594, 4769, 1406, 917, 4010, 1946, 693, 519, 942, 269, 634, 1053, 945, 4769, 1406, 1416, 267, 945, 4121, 1175, 2614, 547, 1780, 519, 1449, 543, 4986, 811, 267, 8593, 856, 540, 519, 6735, 1318, 2476, 269, 3143, 10751, 267, 1100, 3446, 15163, 267, 789, 1175, 14201, 1406, 2111, 547, 14526, 15042, 563, 4517, 609, 1346, 1053, 856, 540, 519, 1259, 267, 519, 1964, 540, 721, 941, 2111, 547, 2196, 3552, 269, 1284, 4682, 909, 547, 519, 3043, 4580, 936, 543, 936 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 306, 1817, 628, 663, 910, 513, 1164, 18286, 1603, 2027, 3197, 269, 18833, 695, 2180, 663, 4191, 543, 519, 3652, 540, 741, 10259, 267, 596, 666, 2328, 476, 3199, 268, 1911, 1913, 829, 8792, 267, 602, 568, 267, 547, 2328, 609, 6340, 2557, 563, 8005, 2115, 513, 695, 2180, 663, 286, 1280, 1053, 547, 4974, 693, 519, 20576, 267, 2594, 15872, 2262, 585, 2262, 563, 10743, 585, 4063, 23824, 15872, 269, 1280, 3610, 267, 20859, 267, 17864, 267, 945, 616, 1360, 1454, 2854, 267, 11639, 267, 547, 2328, 5728, 1344, 827, 741, 960, 267, 519, 2804, 10832, 563, 15447, 1578, 540, 695, 2180, 663, 7520, 1353, 543, 960, 267, 4688, 942, 267, 2087, 4074, 533, 10961, 341, 617, 527, 601, 333, 739, 328, 563, 9359, 4974, 695, 2180, 663, 609, 519, 9904, 269, 901, 786, 2154, 476, 274, 268, 276, 2395, 269, 3973, 4983, 519, 10259, 540, 24008, 269, 1656, 596, 723, 547, 4487, 519, 695, 2180, 663, 540, 476, 2004, 260, 543, 786, 2328, 476, 273, 268, 274, 2053, 5488, 982, 2328, 2221, 269, 901, 3340, 476, 273, 4374, 563, 10702, 1353, 786, 581, 535, 4310, 4191, 267, 4191, 585, 18772, 525, 267, 3597, 1913, 267, 585, 1913, 30804, 269, 2991, 741, 1353, 1603, 3432, 786, 2333, 676, 476, 274, 268, 276, 2053, 563, 2691, 596, 1451, 519, 3652, 543, 519, 5786, 540, 1913, 874, 29320, 267, 3652, 540, 1603, 21428, 528, 3359, 267, 605, 18690, 543, 2161, 902, 596, 1603, 3432, 10301, 476, 3199, 268, 1911, 1913, 829, 8792, 269, 1772, 621, 2352, 547, 1353, 695, 2180, 663, 286, 3143, 267, 621, 568, 1360, 2653, 269, 14424, 585, 3054, 269, 16390, 540, 519, 4155, 3560, 593, 519, 9897, 540, 6576, 3568, 5176, 476, 4968, 3197, 269, 1284, 723, 891, 3652, 538, 519, 1576, 540, 519, 1353, 476, 1789, 268, 2412, 2395, 269, 11773, 2685, 649, 1780, 18362, 543, 3489, 513, 9920, 781, 12689, 269, 1744, 2180, 663, 3568, 1152, 476, 3583, 3197, 269, 1924, 695, 2180, 663, 4983, 476, 275, 2053, 4443, 982, 6808, 3652, 269, 0, 22117, 532, 3173, 693, 17755, 650, 2160, 267, 14102, 538, 851, 676, 19576, 5980, 4516, 630, 28903, 264, 685, 338, 2817, 3194, 5358, 267, 723, 1500, 513, 14634, 602, 1223, 1291, 547, 1007, 5061, 799, 949, 3500, 519, 11144, 540, 19576, 779, 2068, 563, 7804, 269, 11977, 589, 269, 674, 517, 693, 519, 27292, 27096, 673, 4659, 543, 11233, 910, 763, 11671, 267, 543, 3220, 269, 918, 4150, 2983, 327, 2590, 538, 519, 4972, 540, 4437, 17190, 693, 519, 20513, 540, 6925, 3366, 23712, 6887, 547, 3605, 519, 1614, 8820, 2497, 540, 519, 3940, 5244, 514, 267, 513, 5057, 540, 513, 1062, 602, 18657, 919, 519, 13389, 540, 5946, 585, 12159, 538, 519, 2634, 563, 1607, 6602, 8507, 689, 1896, 1296, 540, 960, 676, 519, 3523, 2209, 267, 543, 729, 1500, 2009, 538, 851, 998, 513, 13662, 290, 1269, 3393, 267, 1822, 15815, 582, 5741, 16827, 547, 3220, 269, 2983, 327, 2590, 538, 476, 1001, 272, 543, 607, 1134, 607, 519, 28769, 16466, 585, 19576, 779, 630, 307, 528, 15193, 264, 15815, 582, 5741, 16827, 540, 1269, 3393, 267, 1822, 538, 476, 1001, 273, 269, 16952, 7616, 729, 3177, 676, 519, 8225, 23941, 585, 2657, 3194, 267, 543, 5989, 1489, 689, 519, 674, 4637, 632, 973, 615, 3832, 2372, 2946, 13069, 543, 519, 4516, 7690, 585, 16743, 563, 28490, 649, 666, 16196, 713, 3210, 689, 938, 1382, 4681, 609, 513, 3075, 2864, 982, 13592, 267, 649, 1522, 581, 2111, 547, 3500, 519, 11144, 540, 2068, 538, 19576, 779, 2550, 2223, 1767, 3220, 269, 2983, 327, 2590, 269, 0, 288, 681, 15477, 5588, 16785, 19108, 6836, 547, 2697, 519, 11935, 602, 13264, 2476, 689, 2230, 29060, 20570, 1310, 1491, 11325, 563, 763, 9814, 1570, 910, 7654, 513, 4062, 540, 17371, 13471, 910, 8593, 1055, 519, 14361, 781, 3544, 4492, 7382, 267, 20872, 715, 14505, 547, 2666, 1022, 2104, 29060, 31782, 563, 288, 22557, 2006, 1767, 281, 834, 2171, 4465, 1405, 8038, 1586, 2394, 602, 9651, 568, 6569, 4799, 288, 835, 20878, 8143, 22739, 849, 7902, 547, 2736, 1055, 689, 2282, 519, 9224, 13941, 268, 613, 541, 9885, 543, 972, 568, 513, 16143, 669, 5792, 22739, 593, 519, 29060, 781, 17987, 269, 4258, 4242, 849, 1331, 2009, 3441, 1310, 606, 5007, 4492, 7382, 5734, 543, 7166, 513, 1804, 6177, 593, 12740, 11325, 269, 634, 5722, 268, 17641, 12284, 616, 17655, 1169, 10759, 540, 519, 29060, 781, 8143, 13104, 609, 513, 476, 1911, 1111, 8773, 9280, 609, 22795, 543, 513, 8254, 563, 2252, 715, 14505, 8030, 6430, 20570, 568, 5906, 569, 8697, 267, 519, 12284, 1223, 2119, 547, 7816, 621, 269, 769, 519, 10782, 2013, 267, 789, 1223, 1491, 9675, 593, 519, 4139, 6611, 13749, 543, 24098, 15063, 563, 307, 850, 3441, 568, 711, 8966, 269, 715, 14505, 1767, 19108, 602, 4986, 1185, 865, 2484, 1044, 1336, 267, 4946, 281, 834, 31819, 814, 8854, 24215, 1134, 1701, 1809, 13753, 786, 3136, 563, 22349, 1258, 2246, 338, 786, 849, 2638, 585, 18015, 602, 1223, 1439, 9734, 20570, 950, 621, 7024, 547, 3047, 693, 5210, 909, 547, 476, 273, 267, 4335, 293, 563, 763, 8773, 568, 835, 540, 1082, 3106, 3800, 2322, 538, 1747, 1739, 519, 476, 1220, 274, 13357, 269, 634, 29060, 12052, 30477, 3603, 593, 556, 268, 18782, 267, 11318, 5722, 20691, 267, 1310, 10690, 32229, 17371, 8697, 513, 13617, 563, 291, 18752, 24850, 1055, 689, 15729, 2052, 11232, 531, 267, 8419, 267, 593, 13638, 593, 513, 476, 1321, 6377, 5692, 547, 759, 6269, 569, 519, 4139, 6611, 13749, 269, 0, 1432, 4523, 950, 513, 7077, 568, 13351, 676, 17500, 454, 275, 270, 274, 270, 1001, 276, 476, 276, 281, 4905, 281, 4905, 6751, 454, 2252, 596, 616, 513, 7928, 1166, 1512, 267, 596, 786, 2693, 6108, 930, 942, 538, 519, 6607, 1282, 19711, 28323, 269, 2755, 19426, 949, 3006, 581, 556, 709, 1540, 547, 2057, 3983, 4365, 267, 17500, 12212, 1402, 338, 909, 1141, 621, 781, 711, 4397, 563, 6097, 547, 11660, 1977, 267, 606, 20987, 666, 2965, 9594, 513, 17500, 10880, 269, 1879, 713, 4523, 267, 519, 17500, 30021, 3085, 1405, 2097, 689, 519, 12269, 267, 855, 2864, 621, 6238, 693, 519, 20987, 543, 10301, 909, 269, 898, 568, 2219, 602, 1142, 5010, 20987, 568, 13351, 676, 17500, 693, 2547, 835, 942, 1169, 1032, 563, 27879, 12310, 543, 12284, 593, 4604, 519, 4739, 693, 519, 942, 540, 519, 10880, 949, 5873, 513, 10978, 29907, 543, 1294, 513, 8755, 540, 1769, 269, 17224, 18209, 2029, 267, 2705, 267, 814, 13087, 14742, 547, 9108, 1995, 15420, 1510, 3978, 3441, 547, 519, 4739, 269, 2201, 930, 14026, 267, 972, 723, 1044, 8320, 1141, 519, 7077, 568, 5594, 1085, 528, 3481, 538, 519, 1858, 1141, 519, 30021, 13351, 269, 769, 713, 3236, 267, 519, 12681, 1131, 2244, 519, 7077, 607, 4166, 607, 2009, 547, 581, 2386, 3388, 568, 2324, 5265, 1354, 11173, 593, 519, 16516, 8184, 563, 2252, 596, 616, 593, 513, 7077, 1282, 513, 7088, 267, 1491, 4313, 538, 6616, 602, 519, 8184, 12284, 814, 1044, 8036, 547, 6023, 17500, 16716, 543, 824, 4365, 3871, 269, 1879, 596, 2244, 267, 1354, 16144, 547, 707, 1286, 23934, 267, 581, 2386, 547, 9684, 519, 5234, 585, 513, 2922, 8184, 269, 0, 763, 3747, 585, 2657, 6176, 5004, 12333, 568, 4397, 547, 2333, 476, 736, 2600, 676, 476, 1001, 279, 910, 2687, 547, 519, 13163, 540, 8534, 10803, 543, 589, 26980, 7246, 563, 289, 9531, 540, 8534, 10803, 281, 27706, 31326, 18361, 6481, 543, 2657, 7896, 2494, 6162, 454, 10890, 1344, 2359, 568, 513, 4999, 540, 1870, 267, 2257, 267, 543, 1344, 2029, 269, 1452, 4648, 616, 9946, 281, 4966, 538, 4393, 267, 7421, 543, 8989, 1344, 4105, 547, 519, 1072, 1416, 2872, 267, 15197, 5234, 2818, 945, 2170, 3232, 609, 519, 4791, 543, 11889, 5234, 267, 782, 540, 7247, 4096, 593, 1072, 1344, 547, 1685, 741, 6009, 563, 288, 11100, 540, 1870, 543, 2780, 6791, 267, 1072, 1344, 2359, 6402, 1072, 1416, 19353, 609, 1344, 2029, 543, 568, 519, 8115, 1063, 2550, 685, 1072, 1344, 543, 1072, 1202, 20445, 267, 1533, 543, 5313, 2229, 267, 543, 824, 15725, 8041, 563, 2026, 513, 4105, 4759, 540, 519, 1072, 1416, 2319, 267, 519, 1072, 1344, 9614, 568, 3743, 585, 5883, 1072, 1344, 1949, 269, 901, 3318, 4566, 543, 10953, 1072, 1344, 1949, 602, 2743, 4441, 540, 20774, 1746, 543, 9431, 8041, 269, 1358, 849, 1374, 1072, 1344, 1949, 3617, 585, 1585, 7306, 543, 2010, 540, 1072, 1416, 6703, 269, 634, 21362, 1229, 2657, 6176, 8556, 15249, 630, 305, 295, 8656, 264, 5713, 607, 606, 12167, 585, 7834, 543, 22637, 540, 1072, 1344, 543, 4566, 543, 3091, 538, 28129, 3872, 3292, 585, 1072, 1416, 10986, 563, 295, 8379, 4648, 798, 711, 1175, 960, 538, 10506, 269, 1358, 960, 585, 8051, 454, 325, 8787, 267, 6142, 3549, 267, 1344, 1949, 21527, 267, 2229, 8041, 267, 14453, 1382, 3549, 267, 543, 1866, 269, 22453, 8677, 540, 12820, 8362, 15313, 1072, 1344, 9946, 269, 4340, 547, 519, 8257, 540, 4074, 267, 7694, 3255, 585, 2657, 6176, 5004, 630, 295, 8379, 264, 4648, 3136, 547, 1332, 1454, 5488, 602, 519, 3328, 585, 782, 23909, 563, 1432, 616, 23269, 899, 585, 670, 8379, 4648, 888, 10303, 972, 616, 2789, 2816, 3255, 2139, 547, 670, 8379, 20021, 267, 23269, 4268, 3648, 4470, 593, 2816, 5539, 543, 2140, 269, 634, 1977, 2657, 6176, 5004, 5948, 630, 288, 26980, 7246, 264, 543, 519, 21992, 585, 2657, 6176, 5004, 12139, 1312, 15476, 1344, 689, 14057, 12220, 269, 8074, 602, 23269, 8428, 711, 1152, 1063, 2816, 2010, 855, 849, 13664, 6753, 563, 26796, 3811, 12032, 540, 519, 2657, 6176, 5004, 1982, 267, 519, 2875, 11392, 513, 25328, 540, 3163, 4110, 538, 2657, 6176, 5004, 630, 295, 8379, 264, 543, 568, 1287, 14718, 547, 1694, 585, 519, 3084, 1036, 3588, 981, 269, 19573, 919, 8391, 741, 681, 295, 8656, 630, 8802, 626, 1229, 2657, 6176, 8556, 15249, 264, 19609, 949, 1413, 585, 4876, 5079, 711, 1152, 538, 8650, 13282, 5468, 267, 855, 538, 782, 2010, 540, 4244, 1416, 5468, 267, 607, 1134, 607, 538, 2069, 267, 1870, 267, 543, 3656, 5468, 269, 7896, 3177, 538, 891, 2127, 2039, 689, 2930, 547, 11889, 267, 609, 8561, 1373, 5116, 593, 519, 8545, 563, 2467, 616, 2789, 2816, 3255, 2139, 547, 670, 8379, 20021, 269, 634, 1739, 568, 1175, 513, 3732, 540, 6009, 538, 1585, 2259, 5468, 281, 0, 1607, 2376, 568, 1152, 2139, 538, 519, 7300, 3898, 269, 8281, 519, 7300, 547, 2070, 519, 2376, 267, 607, 1134, 607, 922, 2404, 5515, 543, 7515, 563, 763, 7022, 540, 519, 5822, 7754, 12677, 6837, 540, 744, 20953, 17443, 12912, 513, 12233, 593, 911, 577, 5448, 547, 2445, 1344, 593, 519, 11841, 540, 911, 577, 5448, 538, 519, 17113, 269, 901, 12233, 15538, 540, 3220, 269, 594, 17383, 4856, 337, 17845, 320, 2725, 9807, 630, 26078, 1211, 1070, 3220, 269, 21280, 2946, 589, 269, 590, 6511, 267, 3220, 269, 808, 5282, 4406, 1372, 320, 767, 331, 8457, 267, 3220, 269, 29928, 774, 344, 2471, 517, 543, 3220, 269, 2717, 330, 27672, 630, 15367, 2663, 759, 11220, 1040, 901, 30732, 2280, 568, 519, 6219, 540, 741, 1867, 563, 1103, 519, 2136, 2276, 519, 12075, 616, 5156, 547, 723, 1044, 7783, 8385, 676, 519, 5053, 28164, 267, 6466, 538, 4516, 519, 631, 3317, 517, 2572, 616, 2808, 3743, 269, 11569, 267, 16382, 713, 3392, 814, 12306, 1765, 31347, 538, 4516, 610, 538, 3162, 3013, 1765, 10177, 577, 5448, 814, 4166, 1831, 21049, 269, 898, 4667, 602, 789, 2015, 519, 2068, 513, 10143, 10751, 267, 543, 1022, 3801, 547, 1521, 621, 607, 513, 1166, 719, 532, 540, 2696, 781, 786, 269, 769, 519, 2136, 2276, 267, 621, 568, 6059, 602, 972, 616, 476, 1839, 267, 1822, 2665, 540, 911, 577, 5448, 1851, 519, 12075, 543, 476, 3451, 267, 1822, 1851, 824, 14797, 3262, 2429, 519, 2197, 563, 289, 16078, 10648, 269, 7797, 540, 519, 9730, 593, 3004, 577, 5448, 540, 519, 5822, 7754, 12677, 6837, 540, 744, 20953, 17443, 11783, 5246, 744, 20953, 28485, 269, 476, 3707, 280, 282, 6078, 263, 276, 2567, 4792, 274, 269, 8222, 281, 1015, 269, 1911, 272, 270, 1105, 2684, 339, 269, 3707, 280, 269, 27947, 1822, 32076, 277, 3445, 1626, 0, 7021, 519, 2250, 1614, 5756, 267, 519, 6820, 2717, 1470, 661, 2784, 1709, 19541, 630, 294, 14154, 296, 264, 814, 3710, 513, 3060, 540, 5215, 540, 1134, 8036 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1607, 1353, 729, 5340, 547, 6218, 519, 22765, 3562, 13463, 697, 5223, 630, 20062, 339, 305, 264, 3892, 543, 2708, 922, 2078, 609, 6315, 2210, 20326, 1981, 538, 1453, 543, 10708, 269, 589, 2698, 540, 476, 3199, 280, 272, 5396, 9907, 476, 1015, 1700, 1240, 1296, 941, 3769, 689, 513, 25422, 11347, 5619, 269, 19893, 941, 9286, 883, 1614, 2516, 281, 630, 272, 264, 2999, 476, 5952, 628, 267, 630, 273, 264, 21759, 476, 5952, 628, 543, 2999, 476, 4817, 628, 267, 543, 630, 274, 264, 21759, 476, 4817, 628, 30878, 540, 18040, 339, 305, 269, 634, 18040, 339, 305, 3892, 9867, 609, 3023, 543, 2085, 269, 24641, 18040, 339, 305, 8519, 689, 2085, 476, 1015, 1700, 1428, 1296, 538, 8695, 543, 689, 2085, 476, 1015, 1700, 1321, 1296, 538, 6690, 267, 621, 5594, 2799, 27502, 269, 22702, 547, 519, 2999, 476, 5952, 628, 30878, 1895, 267, 519, 18040, 339, 305, 21759, 476, 5952, 628, 543, 2999, 476, 4817, 628, 30878, 1895, 1185, 606, 12918, 5223, 630, 3036, 264, 540, 476, 272, 269, 273, 585, 11506, 1973, 2604, 630, 21990, 1070, 476, 272, 269, 8660, 585, 11506, 27831, 1938, 630, 307, 19199, 1070, 476, 272, 269, 5325, 585, 4389, 1164, 29213, 9067, 29952, 8501, 630, 8461, 299, 4211, 264, 543, 476, 275, 269, 11025, 585, 10894, 6794, 630, 18404, 306, 1040, 634, 21759, 476, 4817, 628, 30878, 1895, 1185, 606, 10758, 540, 476, 272, 269, 275, 585, 11506, 22680, 267, 476, 273, 269, 7918, 585, 11506, 7280, 267, 476, 273, 269, 2420, 585, 11506, 570, 19199, 267, 476, 272, 269, 10619, 585, 4389, 31613, 4211, 267, 543, 476, 280, 269, 3393, 585, 5450, 306, 3379, 547, 519, 2999, 476, 5952, 628, 30878, 1895, 269, 3776, 2164, 2303, 602, 3023, 268, 543, 2085, 10391, 18040, 339, 305, 2600, 3796, 666, 581, 1031, 607, 513, 2241, 4791, 6482, 547, 7447, 6315, 2210, 20326, 1981, 563, 21609, 3125, 8377, 568, 2810, 5001, 272, 269, 1306, 519, 9860, 540, 6689, 8377, 4679, 267, 10894, 6794, 630, 18404, 306, 1070, 799, 568, 513, 24159, 540, 14159, 8377, 23938, 2188, 1519, 11506, 22765, 18592, 630, 310, 290, 1070, 11506, 1973, 2604, 630, 21990, 1070, 11506, 7280, 267, 11506, 27831, 1938, 630, 307, 19199, 264, 610, 4389, 1164, 29213, 9067, 29952, 8501, 630, 8461, 299, 4211, 1070, 814, 849, 2799, 273, 269, 25667, 538, 1453, 543, 10708, 4122, 22264, 547, 2937, 8377, 543, 4679, 519, 10171, 540, 32435, 885, 2404, 609, 6315, 2210, 20326, 1981, 267, 971, 607, 1826, 476, 273, 3987, 22577, 630, 307, 273, 19699, 1070, 7988, 28309, 573, 8598, 267, 543, 13119, 274, 267, 275, 269, 901, 1164, 1377, 540, 11144, 2306, 9584, 513, 942, 25259, 3390, 585, 1453, 693, 1164, 1981, 585, 1699, 543, 2104, 6315, 2210, 20326, 2042, 267, 607, 519, 6885, 585, 6304, 1522, 581, 2110, 563, 11917, 7295, 538, 1453, 543, 10708, 568, 3989, 607, 513, 1560, 2527, 4994, 630, 289, 11085, 264, 1657, 519, 476, 4817, 628, 30878, 585, 3023, 543, 2085, 269, 2755, 19483, 568, 513, 2241, 2268, 7229, 676, 12270, 519, 1560, 2597, 676, 519, 16302, 4463, 267, 621, 1281, 711, 4628, 2992, 28539, 13920, 610, 1560, 5888, 269, 4595, 3844, 8377, 568, 1634, 547, 581, 606, 13525, 540, 6315, 2210, 20326, 1981, 267, 1732, 10236, 6248, 3800, 982, 19483, 547, 5496, 585, 3844, 8377, 616, 2877, 269, 7324, 519, 10236, 6248, 3800, 1031, 547, 6218, 28539, 13920, 267, 519, 22765, 3562, 13463, 697, 5223, 630, 20062, 339, 305, 264, 666, 581, 3362, 6027, 538, 4791, 5468, 543, 666, 957, 607, 606, 13525, 540, 3844, 28539, 13920, 269, 18040, 339, 305, 267, 799, 568, 654, 290, 630, 9492, 264, 5258, 676, 4463, 630, 9492, 1070, 814, 1044, 6069, 607, 513, 2178, 27667, 540, 6315, 2210, 20326, 1981, 269, 18040, 339, 305, 814, 1044, 1336, 547, 581, 9120, 547, 19483, 610, 654, 290, 950, 17782, 10894, 3676, 971, 607, 13119, 267, 570, 273, 19699, 267, 7988, 28309, 573, 8598, 543, 5450, 306, 538, 4079, 543, 1453, 276, 267, 277, 267, 278, 267, 279, 267, 280, 563, 288, 18040, 339, 305, 1657, 476, 271, 269, 276, 568, 1631, 6444, 607, 513, 1981, 3815, 585, 6315, 2210, 20326, 3676, 538, 4079, 279, 269, 1717, 267, 519, 946, 540, 513, 2582, 18040, 339, 305, 12939, 585, 6315, 2210, 20326, 1981, 538, 1453, 543, 10708, 814, 1044, 23503, 1015, 267, 1556, 267, 1321, 269, 4595, 4463, 543, 654, 290, 4268, 2687, 547, 3023, 543, 2085, 538, 1453, 543, 10708, 267, 2600, 3796, 610, 3044, 11539, 8464, 630, 306, 9169, 338, 264, 2864, 982, 513, 2582, 2759, 11325, 723, 1044, 6069, 547, 6218, 6315, 2210, 20326, 1981, 269, 6684, 267, 3023, 268, 543, 2085, 10391, 19483, 2600, 3796, 616, 1031, 547, 5581, 8377, 538, 1453, 543, 10708, 267, 1247, 513, 2582, 2759, 11325, 1871, 540, 476, 1839, 4846, 8276, 273, 568, 1031, 585, 4079, 269, 2755, 513, 3105, 1353, 4080, 593, 519, 1298, 850, 12125, 543, 16712, 7678, 540, 18040, 339, 305, 538, 11114, 1453, 543, 10708, 1724, 267, 972, 723, 1044, 1100, 12326, 593, 3023, 268, 543, 2085, 10391, 700, 5960, 2418, 547, 5173, 590, 9169, 338, 610, 3169, 1298, 3796, 540, 18040, 339, 305, 538, 11114, 1453, 5103, 971, 1239, 2907, 2348, 1044, 19017, 538, 824, 2477, 1321, 267, 1691, 563, 11997, 267, 649, 6322, 547, 6218, 519, 3892, 540, 18040, 339, 305, 543, 1683, 513, 3023, 268, 543, 2085, 10391, 4704, 585, 18040, 339, 305, 1210, 519, 700, 5960, 1505, 538, 11114, 1453, 543, 10708, 1210, 513, 25422, 11347, 5619, 267, 519, 9705, 2817, 2657, 543, 12594, 22410, 11752, 630, 298, 26822, 3198, 2464, 1040, 1284, 849, 3379, 519, 14661, 1611, 2418, 540, 6315, 2210, 20326, 1981, 2188, 543, 14661, 12918, 12753, 630, 3036, 338, 264, 585, 5450, 306, 543, 922, 3334, 1063, 2516, 2687, 547, 18040, 339, 305, 2600, 3796, 547, 3313, 2436, 18040, 339, 305, 2600, 3796, 666, 581, 1031, 547, 3589, 6315, 2210, 20326, 1981, 563, 32747, 4162, 540, 519, 1353, 2551, 2687, 547, 3023, 454, 763, 4791, 4162, 540, 519, 1353, 2551, 630, 333, 815, 476, 3199, 280, 272, 264, 616, 3254, 538, 7305, 476, 272, 269, 634, 1611, 2085, 540, 519, 2698, 2551, 729, 476, 1691, 269, 3451, 13008, 476, 273, 269, 7906, 1296, 267, 543, 519, 1611, 19483, 590, 9169, 729, 910, 271, 269, 6860, 13008, 476, 272, 269, 2190, 269, 634, 590, 21990, 21759, 476, 3445, 628, 30878, 1895, 20039, 585, 476, 274, 269, 276, 260, 540, 519, 2698, 2551, 630, 333, 815, 476, 25971, 1070, 543, 519, 667, 21990, 21759, 476, 3445, 628, 30878, 1895, 20039, 585, 476, 2537, 269, 273, 260, 630, 333, 815, 476, 26951, 272, 1040, 22702, 547, 6690, 267, 8695, 1185, 2362, 1611, 2418, 585, 4463, 590, 9169, 630, 303, 815, 476, 271, 269, 21916, 1070, 654, 290, 590, 9169, 630, 303, 815, 476, 271, 269, 271, 3066, 1070, 18040, 339, 305, 630, 303, 2999, 476, 271, 269, 9826, 1070, 30918, 4301, 1973, 2604, 630, 306, 21990, 264, 630, 303, 2999, 476, 271, 269, 9826, 1070, 1019, 770, 4301, 1973, 2604, 630, 291, 21990, 264, 630, 303, 2999, 476, 271, 269, 9826, 1070, 543, 7280, 2157, 630, 303, 2999, 476, 271, 269, 9826, 1070, 6466, 789, 1185, 2539, 1611, 2418, 585, 654, 290, 590, 9169, 630, 303, 815, 476, 271, 269, 21916, 1070, 543, 2698, 8501, 630, 307, 4211, 264, 630, 303, 2999, 476, 271, 269, 9826, 1070, 31613, 4211, 630, 303, 2999, 476, 271, 269, 9826, 1070, 570, 294, 630, 303, 815, 476, 271, 269, 9826, 264, 543, 1970, 29213, 9067, 29952, 8501, 630, 299, 13036, 4211, 264, 630, 303, 2999, 476, 271, 269, 9826, 264, 2157, 269, 27258, 941, 811, 2693, 547, 4235, 4568, 267, 8673, 267, 543, 581, 9308, 3742, 630, 718, 623, 2999, 476, 271, 269, 9826, 1916, 29189, 268, 543, 2085, 10391, 3892, 540, 18040, 339, 305, 454, 299, 5960, 543, 30878, 2418, 693, 519, 476, 274, 6113, 267, 476, 1015, 628, 267, 476, 1428, 628, 267, 476, 1839, 628, 267, 476, 2004, 628, 267, 476, 4037, 628, 267, 476, 5952, 628, 267, 476, 3445, 628, 267, 543, 476, 9032, 628, 2600, 3796, 2687, 547, 3023, 543, 2085, 616, 3254, 538, 7305, 476, 273, 543, 8431, 269, 476, 272, 269, 18040, 339, 305, 9867, 14320, 2687, 547, 3023, 543, 2085, 269, 5637, 8695, 543, 6690, 1185, 772, 11057, 30878, 14258, 2687, 547, 2085, 267, 543, 891, 14258, 941, 7729, 14954, 547, 519, 2451, 269, 18040, 339, 305, 8519, 689, 2085, 476, 1015, 1700, 1428, 1296, 538, 8695, 543, 689, 2085, 476, 1015, 547, 5111, 476, 1321, 1296, 538, 6690, 543, 5594, 2799, 27502, 269, 29938, 538, 18040, 339, 305, 2687, 547, 2085, 941, 2362, 538, 519, 5580, 30878, 2516, 630, 19749, 354, 476, 5952, 628, 2600, 3796, 264, 982, 538, 519, 2539, 30878, 2516, 630, 274, 6113, 1700, 2004, 628, 2600, 3796, 1040, 27258, 1185, 2362, 18040, 339, 20745, 982, 6690, 538, 519, 7820, 2085, 2516, 630, 1015, 1700, 1691, 1296, 264, 543, 2539, 18040, 339, 305, 538, 519, 2539, 30878, 2516, 1310, 476, 1691, 1296, 269, 27258, 1185, 2362, 14170, 540, 8390, 538, 782, 2085, 2516, 563, 21008, 2581, 540, 14661, 1611, 2418, 585, 6315, 2210, 20326, 1981, 2188, 2687, 547, 519, 18040, 339, 305, 2600, 3796, 454, 3849, 3286, 539, 1611, 2418, 540, 6315, 2210, 20326, 1981, 2188, 2687, 547, 519, 18040, 339, 305, 2516, 1310, 16369, 585, 2009, 1476, 895, 619, 616, 3254, 538, 7305, 476, 274, 269, 1280, 782, 5171, 267, 519, 1895, 609, 18040, 339, 305, 21759, 476, 5952, 628, 543, 2999, 476, 4817, 628, 30878, 1185, 2362, 14661, 1797, 570, 4211, 630, 303, 2999, 476, 271, 269, 9826, 1070, 570, 19199, 630, 303, 2999, 476, 271, 269, 9826, 1070, 543, 25928, 4211, 630, 303, 815, 476, 271, 269, 16573, 5148, 519, 1895, 609, 18040, 339, 305, 21759, 476, 5952, 628, 543, 2999, 476, 4817, 628, 30878, 1185, 2539, 31613, 4211, 2157, 630, 303, 2999, 476, 271, 269, 9826, 264, 982, 519, 1895, 609, 18040, 339, 305, 2999, 476, 5952, 628, 30878, 269, 22702, 547, 519, 18040, 339, 305, 2999, 476, 5952, 628, 30878, 1895, 267, 519, 18040, 339, 305, 21759, 476, 4817, 628, 30878, 1895, 1185, 2362, 14661, 1797, 585, 570, 4211, 630, 303, 2999, 476, 271, 269, 9826, 1070, 570, 19199, 630, 303, 2999, 476, 271, 269, 9826, 1070, 543, 25928, 4211, 630, 303, 2999, 476, 271, 269, 9826, 1070, 6466, 519, 18040, 339, 305, 21759, 476, 4817, 628, 30878, 1895, 17820, 2539, 14661, 1797, 585, 31613, 4211, 630, 303, 2999, 476, 271, 269, 9826, 1040, 769, 1840, 267, 519, 18040, 339, 305, 21759, 476, 4817, 628, 30878, 1895, 1185, 2362, 14661, 1797, 585, 570, 19199, 630, 303, 815, 476, 271, 269, 28512, 264, 982, 519, 1895, 609, 18040, 339, 305, 21759, 476, 5952, 628, 543, 2999, 476, 4817, 628, 30878, 563, 1103, 519, 32299, 9382, 267, 8695, 538, 519, 18040, 339, 305, 21759, 476, 5952, 628, 543, 2999, 476, 4817, 628, 30878, 1895, 1185, 2362, 667, 21990, 630, 303, 815, 476, 271, 269, 271, 5379, 1070, 570, 4211, 630, 303, 2999, 476, 271, 269, 9826, 1070, 570, 19199, 630, 303, 2999, 476, 271, 269, 9826, 1070, 543, 25928, 4211, 630, 303, 2999, 476, 271, 269, 9826, 264, 543, 2539, 31613, 4211, 630, 303, 815, 476, 271, 269, 9826, 264, 2157, 982, 519, 18040, 339, 305, 2999, 476, 5952, 628, 30878, 1895, 269, 27258, 538, 519, 18040, 339, 305, 21759, 476, 4817, 628, 30878, 1895, 1185, 2362, 1797, 585, 570, 4211, 630, 303, 2999, 476, 271, 269, 9826, 1070, 570, 19199, 630, 303, 2999, 476, 271, 269, 9826, 1070, 543, 25928, 4211, 630, 303, 2999, 476, 271, 269, 9826, 264, 982, 519, 18040, 339, 305, 2999, 476, 5952, 628, 30878, 1895, 269, 27258, 538, 519, 18040, 339, 305, 21759, 476, 4817, 628, 30878, 1895, 1185, 2362, 1797, 585, 570, 4211, 630, 303, 815, 476, 271, 269, 25320, 264, 543, 25928, 4211, 630, 303, 815, 476, 271, 269, 27157, 264, 982, 519, 18040, 339, 305, 21759, 476, 5952, 628, 543, 2999, 476, 4817, 628, 30878, 1895, 269, 21989, 538, 519, 18040, 339, 305, 21759, 476, 5952, 628, 543, 2999, 476, 4817, 628, 30878, 1895, 1185, 2362, 14661, 1797, 585, 570, 19199, 630, 303, 2999, 476, 271, 269, 9826, 264, 855, 2539, 14661, 1797, 585, 31613, 4211, 2157, 630, 303, 815, 476, 271, 269, 16573, 264, 982, 519, 18040, 339, 305, 2999, 476, 5952, 628 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3460, 267, 594, 4362, 602, 3006, 267, 1018, 4667, 7543, 666, 1291, 547, 7096, 4030, 267, 13321, 9583, 27217, 8090, 883, 16637, 550, 2833, 269, 0, 2237, 513, 1483, 3734, 1650, 3838, 676, 2576, 538, 513, 14703, 8468, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 281, 3097, 2108, 7049, 4733, 513, 1650, 1210, 891, 1614, 1913, 281, 5182, 787, 267, 22090, 704, 267, 5757, 563, 5629, 2390, 513, 942, 267, 593, 513, 5182, 787, 3781, 267, 972, 729, 513, 1762, 8004, 3957, 15039, 267, 945, 5030, 538, 513, 1507, 8498, 676, 519, 5757, 269, 634, 27142, 1419, 14437, 827, 519, 5757, 267, 607, 621, 729, 1767, 547, 723, 9589, 7060, 269, 1358, 1767, 602, 952, 596, 4682, 1524, 547, 519, 5757, 23810, 593, 513, 3781, 950, 519, 6801, 941, 26124, 6505, 267, 543, 26866, 1229, 707, 16858, 547, 519, 5757, 267, 519, 5757, 1131, 9886, 873, 269, 8528, 299, 1176, 2760, 2731, 5156, 538, 9059, 267, 855, 1352, 2219, 621, 1131, 581, 4502, 513, 2119, 269, 1924, 267, 593, 713, 1880, 5182, 787, 3781, 267, 1352, 1500, 1200, 1259, 1524, 547, 519, 5757, 23810, 269, 18421, 729, 9602, 267, 4849, 585, 519, 9543, 3280, 540, 519, 1216, 13576, 269, 15039, 6806, 1200, 4064, 267, 3576, 513, 2620, 7362, 543, 26866, 1229, 1200, 16858, 883, 519, 5757, 269, 1656, 1287, 267, 1352, 31372, 269, 8528, 306, 15036, 9490, 3323, 547, 4755, 269, 634, 5757, 3323, 547, 16657, 267, 543, 519, 2571, 26866, 619, 540, 9739, 1223, 581, 4862, 689, 519, 1216, 269, 15039, 7948, 1405, 3494, 621, 910, 519, 5757, 729, 2731, 6947, 547, 1200, 269, 2701, 729, 16397, 609, 7772, 543, 14696, 267, 9232, 692, 763, 1650, 1058, 1331, 281, 3097, 268, 18990, 4690, 610, 9644, 281, 4685, 883, 1808, 12348, 267, 4690, 267, 610, 14973, 3871, 3097, 268, 1323, 6397, 4729, 6335, 610, 2502, 4655, 281, 6338, 513, 11541, 2943, 4101, 3510, 610, 14196, 602, 519, 2278, 5185, 269, 3097, 268, 14506, 543, 5813, 281, 1439, 609, 513, 6571, 602, 3091, 513, 1007, 1620, 267, 513, 2631, 540, 2146, 267, 610, 513, 2123, 13414, 267, 1454, 899, 519, 8753, 6537, 538, 8468, 5717, 563, 9359, 519, 1650, 1318, 2476, 269, 1684, 711, 1376, 609, 5220, 899, 476, 834, 5629, 2390, 513, 942, 257, 607, 713, 568, 513, 14703, 2022, 543, 711, 513, 3209, 267, 596, 1058, 849, 2057, 4358, 609, 5929, 5220, 899, 834, 288, 1906, 1296, 3516, 257, 610, 834, 288, 1906, 1296, 1394, 2580, 581, 3860, 269, 0, 17345, 5149, 281, 13677, 26746, 7931, 1734, 692, 7072, 912, 8702, 547, 938, 3460, 998, 942, 547, 10430, 1282, 519, 1974, 540, 519, 13677, 26746, 256, 901, 729, 513, 942, 540, 1390, 1689, 543, 30331, 10052, 267, 607, 1134, 607, 15832, 543, 7045, 269, 1284, 786, 2263, 875, 713, 8978, 1974, 6766, 930, 540, 707, 5172, 5708, 2835, 2221, 269, 1635, 519, 1439, 540, 713, 1770, 267, 596, 786, 723, 513, 1732, 1620, 540, 1018, 621, 729, 899, 547, 2661, 1282, 713, 942, 267, 543, 1946, 4589, 3136, 547, 946, 891, 5468, 538, 741, 11509, 2984, 780, 8893, 476, 272, 281, 634, 17553, 910, 10430, 4438, 519, 26746, 454, 7628, 519, 476, 5611, 271, 338, 267, 10430, 23384, 513, 3909, 4838, 1634, 607, 519, 13677, 26746, 269, 6969, 713, 942, 267, 1034, 29703, 941, 7826, 269, 1717, 267, 1813, 547, 2797, 2242, 543, 2604, 689, 4789, 267, 1082, 1004, 3459, 14291, 547, 17557, 1143, 269, 1306, 609, 1022, 2101, 6521, 538, 4978, 267, 972, 941, 7526, 1063, 1346, 945, 4371, 5196, 2757, 2081, 543, 1346, 8508, 1007, 19237, 269, 1452, 13253, 2813, 513, 20457, 540, 10462, 543, 10761, 1765, 704, 2739, 5820, 585, 8903, 9423, 2439, 8893, 476, 273, 281, 16992, 538, 13677, 26746, 7931, 1734, 454, 1103, 3140, 32741, 1305, 1282, 519, 13677, 26746, 267, 3197, 1419, 3068, 5837, 21140, 827, 799, 2427, 789, 1489, 1247, 10188, 2123, 3347, 269, 1280, 1383, 267, 4952, 1373, 851, 540, 513, 15626, 1920, 14324, 6306, 676, 18312, 5132, 338, 269, 2107, 5310, 596, 616, 513, 17199, 8165, 585, 707, 2197, 855, 10010, 609, 22027, 827, 707, 1378, 17035, 269, 9320, 596, 2461, 1256, 2576, 14957, 585, 3160, 2924, 9624, 24187, 269, 3962, 1915, 814, 2189, 2591, 1759, 2390, 741, 4282, 543, 2833, 780, 12244, 281, 19147, 883, 2516, 543, 16540, 1114, 2010, 540, 3197, 835, 1522, 1265, 538, 513, 13677, 26746, 23620, 3209, 269, 25849, 1142, 1895, 513, 1808, 5133, 630, 324, 3052, 1421, 8821, 956, 267, 7980, 267, 6963, 619, 264, 543, 5000, 873, 547, 1589, 21176, 827, 875, 891, 2043, 1131, 4431, 547, 519, 4657, 1158, 1472, 873, 269, 9523, 4681, 609, 519, 1362, 780, 8893, 476, 274, 281, 11146, 12267, 27933, 24755, 657, 454, 27094, 2984, 8853, 538, 2053, 540, 4655, 1317, 4664, 2196, 1164, 267, 1818, 6612, 811, 7920, 269, 5994, 9991, 538, 2648, 1996, 519, 12918, 267, 6616, 602, 6848, 8155, 610, 22686, 6788, 1223, 1832, 596, 6306, 269, 32425, 622, 5022, 22121, 31205, 1831, 782, 519, 811, 13858, 256, 10753, 951, 14229, 1136, 1055, 547, 6456, 1350, 839, 610, 3504, 28151, 8591, 9814, 543, 26675, 269, 3414, 971, 8062, 267, 15185, 1332, 6793, 1927, 267, 8087, 538, 3483, 543, 3661, 780, 8893, 476, 275, 281, 10289, 17629, 22206, 14141, 454, 3080, 6249, 1336, 538, 2413, 13677, 26746, 7931, 1734, 568, 519, 4339, 585, 7862, 1851, 25469, 1107, 4481, 267, 2021, 779, 1318, 547, 8917, 267, 849, 1634, 607, 8471, 27049, 269, 2755, 711, 2943, 6913, 1282, 519, 4890, 556, 4146, 5736, 267, 10962, 713, 1523, 2636, 4207, 3988, 547, 1921, 13840, 11397, 2621, 609, 1699, 2152, 269, 9181, 687, 4478, 14619, 267, 5126, 267, 543, 16882, 666, 8300, 6209, 7391, 827, 18523, 5539, 780, 6962, 912, 9928, 2714, 880, 26746, 7931, 1734, 2709, 9159, 8941, 18955, 1369, 1483, 3140, 8658, 269, 4197, 519, 10848, 540, 713, 13710, 1974, 27862, 2542, 8223, 543, 11942, 7279, 827, 10430, 779, 3638, 6561, 269, 10801, 713, 1770, 267, 3314, 602, 1169, 1434, 1650, 6238, 609, 11541, 3197, 6849, 9058, 6381, 269, 6787, 32626, 4835, 9620, 610, 5007, 4229, 267, 18798, 1303, 22931, 538, 1686, 1683, 11995, 6667, 585, 15851, 2984, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 17138, 281, 4400, 1633, 4035, 601, 454, 306, 7685, 281, 9576, 4400, 1633, 518, 1948, 273, 454, 12041, 281, 2904, 17755, 1245, 4459, 454, 26705, 281, 26496, 270, 7136, 10369, 28980, 267, 476, 28656, 3817, 454, 2750, 4624, 8313, 281, 5181, 476, 2190, 628, 476, 1001, 280, 676, 853, 269, 9410, 781, 7433, 10587, 454, 299, 3855, 281, 6153, 1348, 338, 1923, 8835, 1923, 645, 261, 301, 454, 18800, 518, 281, 32423, 1299, 13690, 828, 569, 454, 763, 1985, 1433, 538, 519, 1007, 18932, 13677, 3140, 3126, 689, 7330, 4653, 1655, 18522, 2278, 267, 2904, 17755, 1245, 4459, 563, 300, 9820, 773, 25371, 568, 519, 4605, 540, 2703, 1006, 267, 9602, 543, 5360, 5050, 538, 519, 4064, 540, 1200, 1920, 269, 1677, 1200, 19191, 2828, 267, 2705, 267, 1352, 781, 513, 4250, 1652, 5880, 14575, 585, 2021, 781, 2924, 269, 769, 519, 12687, 540, 519, 8834, 31846, 7136, 21492, 267, 8575, 529, 773, 543, 513, 3659, 1336, 519, 25470, 21058, 21637, 5980, 267, 543, 1352, 11438, 519, 7333, 1676, 585, 8471, 27049, 563, 301, 658, 331, 23720, 267, 513, 5869, 540, 519, 10617, 267, 513, 21243, 11464, 540, 519, 9576, 4400, 1633, 31118, 267, 568, 6370, 649, 776, 543, 10478, 585, 6617, 538, 1010, 1272, 269, 589, 18979, 24116, 676, 2866, 543, 513, 10564, 693, 2295, 267, 715, 658, 331, 15211, 2476, 689, 519, 26124, 4876, 602, 6013, 6619, 540, 1864, 267, 547, 519, 10982, 599, 540, 1010, 2706, 12542, 269, 769, 9494, 1010, 11078, 950, 513, 18222, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 16337, 1315, 23620, 1315, 8466, 1315, 13677, 1315, 13677, 26746, 7931, 1734, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 7170, 281, 4197, 543, 25947, 2659, 15465, 32313, 19938, 11150, 547, 28509, 12870, 692, 272, 269, 6258, 827, 5042, 7553, 7939, 2994, 281, 15465, 7553, 7939, 4016, 547, 519, 4555, 543, 5615, 649, 946, 547, 11883, 609, 3929, 2833, 269, 1452, 2994, 666, 1764, 938, 2702, 547, 4383, 4664, 3927, 543, 949, 3565, 547, 2589, 540, 4965, 780, 7659, 9133, 281, 9861, 3222, 540, 707, 1699, 5042, 7553, 7939, 2994, 568, 1898, 1354, 12394, 547, 2087, 873, 269, 9796, 3007, 547, 707, 2219, 3270, 950, 5185, 609, 4101, 3871, 610, 2942, 4664, 780, 273, 269, 5192, 5432, 609, 519, 15465, 32313, 19938, 7726, 32666, 630, 290, 2207, 304, 2567, 901, 18102, 2708, 525, 1585, 5042, 7553, 7939, 2994, 269, 898, 5161, 540, 476, 2767, 3688, 5258, 883, 8370, 9408, 2297, 281, 1582, 15918, 877, 267, 10343, 267, 15555, 1588, 267, 2318, 1201, 1371, 532, 267, 1201, 1371, 593, 4058, 267, 2318, 31272, 26150, 267, 8380, 883, 5133, 267, 15166, 5268, 1944, 267, 543, 824, 15918, 877, 780, 28223, 281, 1411, 666, 3406, 2228, 585, 2200, 610, 14046, 4930, 602, 1331, 519, 2407, 595, 2207, 304, 18102, 269, 6875, 942, 547, 2347, 519, 18102, 25473, 267, 607, 621, 786, 948, 2697, 799, 2994, 596, 4867, 7048, 2390, 780, 274, 269, 21302, 707, 595, 2207, 304, 2164, 281, 4495, 596, 723, 6192, 519, 18102, 267, 2689, 707, 8464, 585, 1142, 9408, 1446, 269, 14451, 8464, 5815, 811, 7928, 16126, 593, 1808, 5042, 7553, 7939, 2994, 269, 14484, 593, 2436, 891, 2994, 616, 5363, 610, 5739, 3823, 5883, 19591, 4606, 780, 275, 269, 10312, 593, 5355, 32277, 28922, 2994, 281, 10576, 2127, 1141, 707, 595, 2207, 304, 2164, 2303, 4055, 585, 6454, 269, 1280, 1383, 267, 952, 707, 6060, 585, 15555, 1588, 568, 1164, 267, 2015, 7598, 2553, 6322, 693, 4227, 678, 6058, 894, 3206, 780, 7659, 9133, 281, 2142, 3461, 609, 3054, 2429, 713, 1184, 269, 21744, 3110, 3770, 2219, 3270, 3217, 2259, 543, 18094, 780, 276, 269, 25956, 13261, 5042, 7553, 7939, 2994, 281, 1677, 25559, 32277, 28922, 2994, 267, 2119, 6220, 8902, 8925, 269, 2368, 1806, 1331, 8026, 11009, 9066, 267, 2502, 538, 2168, 3635, 267, 5275, 1514, 1489, 267, 543, 1201, 1090, 532, 2942, 4555, 998, 5042, 1964, 31382, 780, 28223, 281, 3509, 2790, 1072, 7270, 2709, 1863, 2200, 543, 5751, 2966, 547, 3895, 2635, 5042, 12003, 1983, 269, 3958, 267, 1367, 3797, 7886, 609, 513, 13931, 13309, 21751, 538, 5042, 15515, 24173, 2553, 666, 581, 6225, 780, 277, 269, 18554, 3356, 936, 942, 281, 17115, 15260, 612, 707, 5042, 7553, 7939, 5759, 1210, 2645, 899, 519, 595, 2207, 304, 269, 27297, 2242, 538, 707, 6114, 543, 4188, 707, 1935, 9935, 269, 3117, 626, 1836, 2324, 2509, 4824, 3929, 7939, 666, 9797, 1860, 19591, 10835, 26331, 780, 8855, 267, 1620, 543, 5355, 707, 5042, 7553, 7939, 2994, 3340, 9639, 267, 11428, 267, 543, 5812, 4674, 269, 1635, 8362, 5466, 32277, 28922, 3270, 543, 14237, 8902, 8925, 267, 596, 666, 1732, 4383, 4965, 543, 3986, 2949, 1134, 5630, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 10387, 10056, 19938, 538, 20390, 30105, 281, 15845, 540, 519, 4406, 7190, 543, 16748, 12856, 540, 519, 15465, 32313, 19938, 7726, 32666, 630, 290, 2207, 304, 994, 305, 617, 3419, 22222, 267, 808, 1421, 5975, 1122, 11252, 267, 661, 1421, 5548, 966, 4150, 267, 631, 269, 552, 7054, 4669, 807, 267, 631, 12282, 269, 630, 1708, 273, 994, 763, 15465, 32313, 19938, 7726, 32666, 630, 290, 2207, 304, 264, 568, 606, 4879, 1907, 547, 6218, 5042, 7553, 7939, 2994, 269, 634, 1292, 6662, 540, 713, 1353, 568, 547, 1683, 1007, 12170, 2963, 827, 519, 14496, 543, 10727, 540, 519, 595, 2207, 304, 3842, 513, 3732, 540, 476, 27244, 5053, 10708, 630, 15793, 4775, 267, 476, 13670, 5256, 264, 9907, 689, 476, 1428, 547, 476, 1240, 1296, 630, 300, 815, 476, 1428, 269, 278, 267, 12676, 815, 476, 271, 269, 10602, 1040, 634, 10763, 1184, 729, 5645, 856 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 779, 1378, 5294, 543, 931, 1247, 607, 16353, 4578, 814, 922, 1378, 563, 9213, 596, 1832, 2542, 713, 2376, 543, 594, 3580, 7866, 621, 782, 547, 596, 563, 1432, 568, 513, 16340, 7171, 17583, 888, 1103, 26313, 267, 513, 29577, 1129, 16226, 1505, 568, 835, 602, 20362, 513, 2647, 6512, 540, 12451, 269, 968, 289, 5802, 7171, 892, 568, 513, 3448, 2165, 267, 6956, 2687, 547, 922, 2796, 269, 634, 9962, 630, 528, 6626, 264, 519, 19961, 540, 513, 8756, 267, 519, 3152, 519, 1344, 21307, 11538, 4390, 267, 2016, 519, 1482, 8756, 2298, 563, 1103, 5925, 267, 585, 1383, 267, 513, 1360, 7522, 6512, 786, 4163, 5651, 572, 3009, 267, 513, 6626, 6512, 786, 4163, 4633, 267, 543, 513, 1869, 6626, 6512, 786, 4163, 2575, 1510, 9561, 519, 1164, 8301, 12451, 2838, 585, 10853, 3280, 12093, 269, 901, 3376, 6512, 568, 1419, 5258, 883, 9055, 610, 968, 325, 15968, 25510, 892, 1210, 1780, 6512, 2553, 547, 1450, 4908, 1673, 643, 1707, 2789, 343, 532, 3079, 540, 11488, 513, 2362, 7779, 5365, 563, 1103, 1239, 10618, 513, 476, 6321, 330, 1110, 655, 786, 10141, 513, 1239, 2557, 540, 476, 6321, 4893, 334, 11353, 829, 2034, 630, 330, 4226, 4882, 264, 936, 513, 476, 275, 10275, 559, 334, 615, 16379, 17253, 15146, 1899, 630, 333, 5535, 6512, 610, 5639, 6512, 1040, 769, 519, 3735, 476, 2735, 271, 338, 267, 519, 16340, 7171, 21091, 7896, 7913, 8416, 630, 289, 268, 3041, 291, 301, 264, 1031, 519, 2165, 547, 3277, 547, 513, 3376, 2039, 540, 3787, 3928, 267, 4830, 540, 2168, 25244, 3877, 269, 634, 1585, 3029, 540, 3059, 9408, 686, 828, 1899, 630, 9169, 299, 264, 2533, 616, 29577, 538, 519, 2631, 602, 3059, 1344, 568, 2366, 936, 2789, 9055, 269, 3962, 8756, 568, 693, 2362, 4908, 982, 519, 3490, 7171, 5639, 8756, 267, 865, 621, 666, 1489, 10750, 2025, 15146, 3028, 593, 513, 2582, 6292, 540, 12904, 693, 519, 1482, 942, 269, 1717, 267, 950, 602, 1482, 1899, 568, 10736, 547, 513, 1875, 2000, 1933, 539, 27390, 1790, 1515, 5911, 630, 7224, 15146, 12086, 1070, 621, 3587, 7366, 540, 4893, 334, 615, 16379, 2647, 630, 321, 5802, 7171, 264, 543, 666, 4163, 909, 547, 476, 1911, 19251, 629, 1080, 829, 2034, 1210, 1360, 30041, 19229, 3433, 3059, 9408, 686, 828, 1899, 630, 309, 9169, 299, 610, 966, 8461, 20784, 264, 2553, 563, 1432, 568, 513, 16353, 4578, 17583, 888, 300, 9394, 1239, 568, 835, 1259, 602, 5985, 3926, 3755, 666, 2744, 12616, 1569, 547, 519, 4950, 269, 13689, 593, 875, 1454, 596, 946, 519, 4950, 267, 543, 1141, 267, 2348, 513, 1239, 10276, 12574, 3926, 786, 2285, 596, 519, 1655, 540, 1312, 10600, 267, 4758, 596, 593, 7308, 30559, 1569, 547, 519, 1344, 596, 991, 563, 2691, 596, 946, 1239, 998, 707, 1239, 1544, 267, 596, 666, 1569, 519, 1482, 1543, 607, 596, 1131, 593, 513, 16340, 7171, 17583, 267, 1519, 782, 540, 707, 8924, 267, 3756, 267, 15737, 267, 9413, 543, 811, 269, 1717, 621, 4422, 998, 707, 5985, 15298, 779, 630, 7945, 607, 5794, 339, 601, 267, 8206, 1372, 320, 543, 808, 1470, 264, 3060, 267, 543, 621, 1641, 547, 519, 2474, 540, 707, 1239, 1544, 269, 634, 5413, 568, 602, 267, 1247, 16340, 7171, 1152, 1568, 1369, 519, 2039, 540, 513, 18760, 610, 9348, 1194, 267, 609, 707, 1239, 1544, 267, 596, 666, 1569, 519, 4950, 593, 9170, 1369, 2039, 540, 513, 3060, 5365, 269, 1924, 267, 585, 1383, 267, 952, 596, 2461, 21409, 543, 991, 1569, 547, 707, 7851, 813, 267, 707, 5985, 1239, 568, 1018, 786, 948, 5838, 602, 813, 547, 596, 563, 300, 9394, 1239, 267, 2705, 267, 666, 1205, 7168, 3902, 344, 267, 607, 594, 4718, 689, 22347, 3827, 538, 519, 4578, 9710, 2928, 12267, 16311, 269, 4340, 547, 1382, 676, 519, 4139, 17791, 23890, 5742, 267, 519, 3328, 6049, 1544, 609, 476, 4335, 11586, 540, 1239, 3790, 1269, 5952, 538, 519, 2136, 2276, 267, 3379, 547, 1269, 2190, 269, 1015, 538, 3624, 543, 1269, 279, 269, 3199, 538, 519, 2136, 8003, 269, 1656, 267, 713, 3085, 1406, 1331, 519, 9670, 12375, 3755, 666, 3068, 952, 789, 9765, 741, 10865, 1239, 1544, 630, 528, 1569, 5985, 1239, 1247, 887, 5446, 1107, 522, 1276, 256, 1916, 3963, 568, 16353, 4578, 5890, 2400, 888, 763, 2101, 2601, 540, 519, 16353, 4578, 1373, 7199, 568, 1317, 540, 922, 2823, 1464, 269, 9282, 513, 16340, 7171, 4276, 1522, 4196, 596, 609, 513, 476, 1911, 15406, 4916, 3586, 3432, 855, 519, 4276, 568, 3908, 547, 519, 1747, 1141, 621, 568, 8704, 799, 568, 711, 519, 2013, 609, 16353, 4578, 269, 634, 7658, 1260, 12427, 4383, 513, 5458, 1297, 540, 20610, 585, 11488, 6786, 547, 519, 5985, 3457, 585, 17034, 5769, 267, 1118, 7125, 543, 6494, 5931, 269, 634, 1942, 540, 5826, 540, 13486, 568, 1454, 1454, 2362, 982, 11093, 513, 6775, 610, 667, 20784, 10814, 585, 16340, 7171, 4276, 269, 634, 5985, 20610, 991, 3586, 1379, 267, 13178, 543, 5826, 585, 799, 519, 2754, 10997, 721, 269, 1358, 1902, 513, 2603, 543, 1118, 7443, 1932, 269, 1703, 616, 1082, 824, 2188, 1932, 267, 799, 616, 3743, 585, 519, 1164, 5777, 540, 5985, 1239, 899, 9140, 513, 4908, 8552, 585, 513, 1808, 2039, 267, 27300, 1239, 689, 519, 13763, 1472, 519, 8608, 563, 1103, 519, 1439, 267, 649, 666, 9959, 602, 1312, 4276, 616, 1434, 585, 741, 1378, 4128, 543, 3983, 585, 741, 1378, 563, 11039, 267, 5637, 540, 873, 5713, 721, 609, 5769, 256, 10434, 569, 25198, 256, 0, 2026, 596, 949, 917, 267, 21502, 517, 1562, 616, 2300, 745, 857, 908, 569, 3500, 693, 1689, 267, 1253, 6412, 995, 540, 21046, 267, 2407, 540, 3819, 18854, 543, 18979, 569, 8825, 540, 741, 3885, 543, 2244, 269, 634, 811, 6552, 741, 4087, 267, 519, 811, 713, 786, 8258, 3020, 269, 1656, 267, 713, 568, 6157, 3020, 950, 621, 2501, 547, 741, 3909, 4978, 269, 2755, 15388, 1570, 585, 713, 7127, 267, 594, 1336, 930, 4277, 7194, 912, 12441, 596, 917, 19601, 1862, 7474, 28599, 568, 519, 2547, 3909, 1533, 538, 519, 2475, 609, 1152, 476, 866, 260, 19101, 547, 581, 834, 854, 3909, 8487, 32465, 7474, 28599, 568, 2034, 1152, 547, 29131, 267, 585, 2348, 519, 3500, 652, 2208, 2557, 538, 519, 2197, 693, 1152, 476, 271, 269, 6349, 9077, 20823, 621, 476, 5392, 628, 563, 32465, 1103, 476, 1960, 271, 476, 1556, 269, 275, 260, 540, 1533, 7264, 4330, 2933, 607, 834, 12061, 516, 31437, 257, 543, 476, 272, 269, 273, 260, 1767, 789, 941, 989, 333, 8251, 563, 4131, 781, 1376, 689, 519, 4098, 543, 1847, 4464, 912, 16085, 600, 3241, 632, 16422, 21622, 2008, 2005, 568, 1767, 602, 1282, 519, 20616, 8648, 630, 893, 569, 476, 8182, 278, 910, 476, 9692, 274, 1070, 28599, 781, 4102, 3909, 30901, 729, 5556, 2958, 1049, 1143, 269, 769, 476, 10082, 277, 267, 476, 8287, 260, 540, 28337, 5939, 2818, 538, 28599, 941, 5556, 2958, 1049, 1235, 269, 898, 568, 5156, 602, 5111, 476, 280, 260, 540, 1004, 20705, 547, 513, 1808, 5939, 267, 543, 713, 729, 1813, 7361, 538, 851, 540, 519, 5095, 6552, 17260, 563, 257, 9213, 5556, 2958, 1049, 1235, 630, 553, 519, 2136, 5783, 540, 2441, 264, 616, 3791, 4102, 3909, 1560, 538, 519, 1533, 269, 3683, 476, 275, 260, 540, 519, 2551, 616, 10645, 676, 519, 772, 6717, 607, 2818, 267, 543, 519, 1482, 6871, 2012, 5556, 2958, 1049, 1143, 610, 519, 772, 6717, 607, 741, 3909, 13283, 269, 4634, 2221, 267, 519, 5556, 2958, 1049, 1235, 723, 811, 13039, 982, 1022, 824, 21000, 1588, 630, 516, 31437, 1560, 264, 538, 519, 1533, 563, 763, 4102, 2582, 3909, 1560, 538, 28599, 2221, 568, 519, 7826, 5783, 269, 769, 476, 1960, 271, 519, 7826, 5783, 4080, 602, 476, 1839, 260, 540, 28599, 7264, 941, 2818, 267, 855, 519, 24230, 2381, 1582, 268, 1211, 2305, 5619, 8612, 602, 936, 476, 3374, 260, 2015, 2933, 7826, 269, 634, 476, 1015, 260, 3017, 6920, 513, 1713, 1297, 540, 1533, 7264, 945, 616, 22194, 23597, 711, 28337, 609, 513, 25110, 563, 763, 2136, 6396, 626, 5783, 568, 519, 2034, 4102, 5939, 267, 609, 827, 476, 276, 260, 540, 519, 2551, 563, 763, 8772, 4102, 5939, 568, 519, 9210, 4593, 29914, 5783, 267, 4553, 676, 519, 1977, 23837, 932, 11699, 538, 519, 772, 2529, 6993, 269, 9497, 301, 4899, 19097, 1235, 8442, 543, 519, 5783, 540, 4906, 2441, 540, 700, 2660, 6377, 29513, 563, 307, 2586, 607, 513, 2898, 267, 8567, 568, 5693, 519, 4102, 4984, 538, 519, 1533, 267, 10645, 607, 519, 9053, 4984, 676, 476, 10695, 260, 540, 1533, 7264, 269, 910, 342, 5942, 454, 306, 869, 569, 6932, 689, 519, 17909, 568, 519, 654, 545, 8619, 610, 3026, 641, 12298, 630, 291, 745, 573, 1143, 264, 3350, 269, 594, 1589, 621, 1131, 581, 2922, 547, 2161, 602, 519, 4587, 5108, 568, 2523, 26617, 543, 530, 776, 540, 891, 10764, 1317, 540, 972, 7681, 609, 2474, 971, 607, 834, 310, 3558, 2275, 2761, 2580, 610, 834, 291, 1046, 270, 14937, 18903, 1496, 300, 698, 1157, 316, 8487, 347, 310, 545, 4754, 834, 12640, 601, 540, 519, 5729, 257, 2008, 22818, 267, 1256, 609, 10962, 519, 4214, 540, 1018, 654, 545, 8619, 568, 267, 621, 1131, 1869, 581, 2808, 513, 4158, 1148, 267, 543, 713, 568, 5963, 25031, 269, 3026, 641, 12298, 1143, 543, 654, 545, 8619, 616, 1018, 568, 1634, 607, 834, 24618, 9122, 257, 4984, 267, 543, 11613, 798, 711, 10847, 30616, 610, 519, 8061, 559, 269, 901, 2942, 8305, 9189, 568, 6140, 1813, 547, 8613, 2982, 543, 9413, 267, 585, 547, 1174, 1022, 3618, 2861, 4984, 267, 835, 1590, 2015, 602, 621, 568, 519, 10847, 540, 782, 3344, 540, 2470, 267, 1419, 547, 1331, 1312, 10971, 543, 15831, 525, 267, 543, 547, 2015, 2470, 607, 2898, 2707, 540, 519, 8471, 9637, 563, 296, 3913, 528, 766, 543, 4250, 4478, 891, 10764, 3049, 519, 535, 1066, 5414, 540, 2258, 18356, 269, 594, 1131, 2303, 602, 4896, 945, 568, 31604, 540, 654, 545, 8619, 267, 547, 798, 741, 6780, 267, 543, 13599, 2933, 5265, 827, 1169, 1554, 2259, 267, 519, 8868, 540, 519, 1032, 267, 1018, 513, 20008, 12386, 1797, 267, 543, 519, 590, 13741, 1846, 267, 543, 865, 593, 269, 1411, 949, 849, 1451, 602, 267, 585, 1082, 267, 8567, 568, 606, 7533, 851, 540, 3618, 2861, 10847, 256, 769, 28599, 267, 543, 6157, 1715, 4789, 267, 596, 786, 2253, 547, 3605, 1175, 875, 1082, 1004, 2259, 22072, 654, 545, 8619, 1419, 1318, 538, 707, 1394, 13452, 2336, 257, 24618, 10764, 616, 19775, 547, 1450, 835, 547, 8415, 519, 1702, 540, 8497, 519, 3047, 4799, 2080, 616, 513, 1906, 28599, 2200, 267, 952, 596, 9364, 899, 547, 3605, 811, 912, 4537, 3591, 1472, 519, 1533, 281, 630, 8923, 1745, 1863, 547, 1039, 547, 1592, 538, 519, 8292, 9625, 713, 729, 782, 594, 1223, 1265, 2228, 994, 289, 749, 3298, 22484, 281, 634, 5455, 1189, 9454, 531, 454, 27778, 4490, 4011, 334, 281, 4563, 19594, 29665, 5403, 454, 289, 584, 28002, 281, 9791, 4173, 517, 7383, 338, 454, 19751, 21281, 18740, 454, 300, 559, 2023, 281, 9855, 2775, 717, 3424, 19255, 701, 454, 305, 663, 20462, 281, 631, 1872, 342, 677, 543, 5689, 778, 924, 454, 1805, 19186, 753, 281, 7720, 976, 17495, 3298, 717, 22284, 585, 519, 13336, 454, 310, 559, 2719, 2023, 281, 24656, 543, 3047, 454, 257, 2304, 621, 2800, 9039, 267, 798, 1018, 9493, 786, 4799, 257, 2467, 568, 1100, 10143, 27790, 563, 2005, 568, 909, 547, 1142, 1367, 547, 6430, 1018, 568, 5683, 563, 10376, 1367, 568, 3743, 585, 1010, 610, 1200, 3527, 563, 26903, 543, 782, 1272, 1058, 581, 28165, 563, 2467, 568, 1100, 835, 2953, 2619, 610, 4984, 267, 1152, 602, 799, 13352, 1655, 585, 1142, 1367, 563, 300, 7394, 798, 902, 616, 2944, 585, 741, 1378, 19160, 543, 711, 585, 513, 8007, 1701, 0, 309, 273, 18500, 8490, 9218, 454, 14240, 281, 476, 272, 269, 711, 2111, 547, 2014, 2800, 282, 476, 273, 269, 711, 2693, 547, 2014, 513, 2178, 7553, 454, 26239, 11618, 281, 20027, 267, 538, 4752, 2400, 267, 1928, 1652, 267, 2922, 267, 9543, 267, 796, 15953, 542, 762, 454, 12901, 11618, 281, 5739, 267, 8801, 267, 14686, 267, 6757, 267, 22247, 267, 26901, 532, 454, 19522, 281, 26735, 665, 6681, 568, 6508, 689, 519, 5824, 21030, 340, 639, 267, 689, 538, 19985, 968, 2254, 2223 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 276, 513, 25627, 281, 10022, 281, 1234, 15479, 633, 16754, 281, 476, 2568, 737, 284, 272, 476, 1911, 263, 272, 269, 5400, 264, 562, 12049, 781, 7385, 6499, 547, 8661, 1713, 8090, 538, 454, 293, 1042, 781, 2597, 2530, 3460, 543, 2115, 547, 1711, 513, 8430, 269, 513, 264, 1215, 1082, 6550, 786, 12049, 6336, 1310, 476, 1428, 4374, 286, 513, 815, 476, 32076, 23444, 1428, 268, 272, 7565, 268, 274, 269, 276, 264, 476, 1428, 815, 476, 32076, 23444, 1691, 7565, 268, 274, 269, 276, 264, 815, 476, 32076, 268, 5392, 815, 476, 3374, 278, 8382, 912, 293, 1042, 786, 6336, 476, 5392, 6550, 1310, 476, 1428, 4374, 269, 536, 264, 1879, 786, 12049, 9260, 1447, 982, 476, 4968, 6550, 286, 476, 4968, 815, 476, 32076, 23444, 333, 268, 272, 7565, 268, 274, 269, 276, 264, 476, 4968, 268, 32076, 815, 630, 333, 268, 272, 7565, 268, 274, 269, 276, 264, 910, 11793, 815, 910, 274, 269, 276, 333, 1341, 476, 274, 269, 276, 910, 11793, 910, 476, 274, 269, 276, 815, 910, 274, 269, 276, 333, 910, 11820, 269, 276, 815, 910, 274, 269, 276, 333, 910, 11820, 269, 276, 910, 274, 269, 276, 13322, 815, 562, 562, 815, 476, 4029, 269, 30525, 8382, 912, 293, 1042, 786, 9260, 896, 476, 4968, 6550, 476, 3953, 4374, 883, 1010, 2597, 2530, 3460, 269, 476, 32076, 268, 3374, 278, 284, 476, 5392, 4014, 12049, 786, 581, 8572, 547, 11198, 1010, 2724, 2676, 515, 568, 8049, 827, 519, 1871, 646, 786, 723, 693, 1978, 2053, 269, 513, 264, 1215, 1454, 2724, 786, 723, 19017, 538, 12049, 781, 454, 23810, 2272, 693, 519, 1439, 540, 1010, 2597, 2530, 3804, 888, 320, 815, 476, 1911, 263, 272, 269, 5400, 264, 476, 1321, 476, 1321, 513, 476, 1321, 476, 1911, 263, 273, 269, 7367, 264, 815, 513, 476, 1321, 815, 476, 25172, 269, 11025, 8382, 912, 293, 1042, 786, 723, 19017, 8096, 25172, 269, 11025, 454, 514, 1010, 4871, 2272, 269, 1677, 8007, 5128, 585, 9561, 2597, 267, 12049, 4566, 593, 7836, 8096, 1220, 271, 540, 519, 2724, 646, 786, 4688, 593, 513, 1007, 20758, 549, 2041, 269, 1879, 786, 646, 723, 10710, 693, 548, 770, 8096, 1220, 271, 286, 476, 1220, 271, 815, 476, 1911, 263, 272, 269, 5400, 264, 562, 476, 736, 815, 476, 272, 269, 5400, 562, 23692, 476, 736, 815, 562, 23692, 476, 272, 269, 5400, 23692, 476, 736, 23692, 476, 272, 269, 5400, 815, 562, 12223, 13090, 562, 815, 476, 4343, 269, 280, 8382, 912, 293, 1042, 786, 723, 693, 548, 770, 8096, 1220, 271, 9489, 538, 1010, 454, 23810, 2272, 476, 4375, 4374, 1310, 1010, 16005, 269, 8729, 547, 9696, 543, 3126, 267, 12049, 729, 2111, 547, 6336, 454, 7076, 543, 18645, 2724, 11053, 820, 1776, 1413, 693, 519, 454, 2181, 2365, 12049, 267, 543, 1631, 1294, 519, 1007, 835, 269, 594, 6785, 594, 729, 4190, 267, 1175, 2620, 1524, 3330, 269, 5871, 22472, 281, 476, 272, 269, 5400, 454, 17359, 13973 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1607, 1582, 24713, 344, 3391, 267, 16432, 689, 3635, 543, 7688, 3377, 24393, 267, 3947, 596, 2656, 1852, 936, 782, 3344, 540, 519, 12122, 267, 21130, 543, 30076, 540, 513, 8837, 7193, 543, 2324, 609, 7193, 7816, 3028, 269, 1411, 666, 4625, 771, 553, 14517, 707, 2780, 267, 1689, 519, 4835, 2609, 543, 27043, 621, 269, 1411, 786, 849, 1451, 875, 547, 3888, 610, 9337, 1585, 8747, 540, 8837, 630, 5228, 8837, 476, 278, 547, 8837, 476, 1015, 264, 593, 513, 2582, 2780, 543, 538, 513, 3060, 1604, 267, 607, 1134, 607, 19022, 5769, 1569, 563, 1103, 13076, 609, 938, 7029, 267, 649, 2709, 596, 513, 1007, 4528, 540, 713, 2012, 269, 22419, 945, 723, 2907, 6594, 519, 1614, 3105, 8747, 786, 1265, 23937, 1644, 547, 519, 4720, 540, 2029, 538, 713, 1433, 269, 901, 1433, 267, 5497, 5097, 585, 513, 1134, 26455, 1857, 267, 786, 849, 1831, 513, 3407, 2707, 540, 1344, 585, 1346, 945, 616, 1572, 968, 332, 2222, 26367, 5330, 757, 2223, 945, 616, 3238, 538, 3549, 30076, 1101, 7400, 2042, 267, 4509, 543, 18175, 15665, 8668, 7221, 269, 20904, 23390, 786, 849, 1265, 606, 3872, 1907, 602, 568, 1419, 7508, 689, 713, 1870, 269, 589, 1804, 5304, 949, 3343, 1702, 540, 2780, 8800, 543, 5665, 1949, 563, 1103, 519, 1920, 1158, 267, 519, 991, 547, 16491, 2789, 5904, 4448, 547, 519, 5769, 1419, 5932, 9465, 547, 19022, 543, 23676, 2393, 891, 1753, 5121, 269, 901, 5304, 786, 581, 19914, 547, 1265, 1934, 513, 4052, 3391, 547, 519, 2890, 26367, 269, 901, 1433, 267, 16887, 2966, 585, 2866, 267, 786, 581, 3730, 585, 30157, 945, 786, 1265, 4052, 543, 1360, 2143, 2866, 8261, 338, 269, 901, 1826, 540, 3077, 1576, 3340, 7850, 1489, 267, 799, 1034, 1837, 15769, 798, 711, 723, 269, 634, 5031, 540, 713, 3391, 267, 1082, 4052, 5751, 786, 948, 596, 4019, 519, 1702, 6591, 269, 1284, 18973, 596, 547, 723, 8800, 543, 3301, 593, 1688, 602, 786, 1450, 596, 547, 2347, 891, 5751, 269, 634, 811, 1570, 596, 723, 267, 519, 1732, 621, 786, 581, 585, 707, 2866, 269, 2991, 2542, 713, 1433, 267, 596, 786, 4625, 771, 553, 14517, 707, 2780, 267, 1689, 519, 4835, 2609, 543, 556, 553, 14517, 269, 1411, 666, 849, 3888, 519, 5665, 1062, 543, 3156, 593, 1312, 513, 2582, 2780, 543, 538, 513, 3060, 1604, 563, 2662, 7241, 519, 2361, 540, 2534, 267, 513, 2754, 3112, 798, 1510, 513, 2780, 1907, 269, 6787, 596, 616, 851, 540, 513, 1804, 2754, 267, 513, 12666, 3924, 267, 610, 1256, 513, 2930, 3924, 267, 2780, 2257, 4249, 513, 2629, 1909, 269, 634, 1292, 7411, 6013, 267, 1101, 540, 782, 267, 538, 519, 3099, 540, 3937, 267, 5665, 1949, 543, 3156, 602, 596, 949, 7237, 269, 2368, 3937, 949, 2408, 689, 513, 1114, 2085, 267, 1247, 1866, 786, 2992, 1018, 568, 1655, 538, 519, 2361, 269, 4475, 267, 649, 1336, 621, 3730, 547, 2709, 513, 1433, 9256, 2930, 1702, 585, 519, 10380, 267, 5106, 543, 11938, 540, 1949, 540, 1114, 5481, 269, 18838, 538, 513, 2241, 267, 24669, 267, 543, 4922, 10268, 1893, 267, 713, 8261, 568, 5097, 5497, 585, 4052, 946, 282, 1449, 3388, 596, 666, 269, 634, 3003, 4052, 851, 540, 713, 1433, 814, 1044, 7318, 593, 1483, 5867, 267, 543, 649, 10018, 602, 3388, 1568, 269, 901, 5850, 786, 948, 596, 5965, 585, 30076, 267, 25122, 267, 543, 21130, 707, 5904, 269, 898, 568, 5497, 585, 1582, 24713, 344, 610, 267, 607, 851, 540, 4928, 6044, 267, 2636, 519, 26519, 547, 979, 998, 14245, 543, 6895, 1053, 685, 1620, 1282, 29468, 543, 17118, 693, 519, 1439, 540, 1142, 3184, 563, 10743, 786, 5660, 713, 1282, 519, 2866, 267, 1317, 789, 786, 581, 2111, 547, 1246, 519, 26519, 779, 3137, 540, 875, 543, 950, 1010, 6881, 269, 2991, 519, 1576, 267, 713, 1433, 786, 849, 1450, 873, 547, 2699, 334, 4052, 5751, 543, 267, 3976, 267, 1732, 1852, 540, 519, 1641, 563, 1103, 713, 1101, 3184, 267, 1310, 513, 5618, 1686, 540, 2890, 514, 26197, 267, 649, 786, 1865, 782, 3584, 1644, 547, 5826, 269, 634, 3937, 602, 786, 581, 1031, 547, 3028, 543, 3028, 519, 1585, 2694, 267, 519, 3106, 3800, 602, 1590, 581, 3144, 1354, 4358, 960, 267, 543, 2042, 2404, 609, 5201, 269, 6875, 519, 942, 547, 1451, 621, 267, 596, 786, 1265, 4052, 4388, 543, 930, 3652, 602, 596, 1590, 1246, 563, 1607, 2985, 609, 513, 3638, 14745, 543, 2407, 4052, 5796, 568, 13991, 547, 519, 7816, 540, 519, 1292, 5907, 3457, 281, 5904, 267, 3014, 931, 3421, 267, 16389, 267, 12514, 267, 28624, 30235, 267, 3381, 1788, 832, 269, 1280, 1142, 1826, 540, 3926, 267, 10368, 543, 7816, 2409, 585, 519, 1034, 1455, 24966, 616, 3177, 269, 0, 14937, 7401, 568, 513, 1587, 1500, 689, 519, 4342, 749, 807, 521, 1149, 529, 2030, 269, 4563, 7401, 3762, 941, 2899, 3039, 7401, 3762, 267, 799, 941, 27762, 593, 267, 18854, 22363, 543, 1287, 12444, 1242, 269, 5525, 5815, 602, 519, 7135, 8659, 538, 3109, 7401, 1107, 519, 2378, 15442, 1231, 543, 519, 541, 889, 580, 839, 1107, 711, 1152, 3565, 547, 3109, 29225, 3982, 8137, 543, 2681, 855, 849, 2488, 3875, 1072, 2640, 267, 971, 607, 9025, 1072, 2640, 267, 2539, 9860, 540, 3987, 543, 2860, 6604, 563, 3963, 616, 649, 5461, 538, 3109, 7401, 585, 4552, 888, 268, 4563, 7401, 3568, 476, 273, 260, 547, 476, 275, 260, 14933, 267, 543, 538, 2487, 1296, 1585, 2090, 723, 3254, 602, 9793, 5666, 540, 14933, 593, 519, 21435, 666, 3565, 547, 519, 6175, 538, 4552, 2530, 543, 5000, 4552, 2208, 563, 268, 4563, 7401, 814, 513, 11415, 550, 3601, 267, 2417, 3467, 621, 568, 3833, 11579, 13577, 267, 950, 621, 11579, 6233, 519, 21435, 621, 4744, 11510, 4430, 694, 321, 636, 269, 1879, 519, 7401, 4744, 11510, 519, 4430, 13897, 543, 3282, 267, 519, 4552, 568, 1863, 547, 1332, 538, 513, 15777, 1604, 609, 512, 7660, 22405, 563, 268, 4563, 7401, 2337, 547, 4158, 523, 519, 4552, 543, 8591, 19542, 547, 621, 563, 268, 4563, 7401, 27125, 4679, 4552, 4320, 563, 1692, 547, 946, 3109, 7401, 27125, 454, 14937, 7401, 666, 581, 1031, 538, 519, 10690, 7401, 3898, 630, 14551, 547, 1265, 538, 8637, 264, 610, 607, 7401, 11435, 282, 972, 616, 1896, 8677, 540, 3109, 7401, 593, 519, 2344, 269, 1879, 1210, 10690, 3762, 946, 1447, 982, 596, 1131, 7401, 11435, 269, 2290, 7401, 9126, 547, 835, 7484, 540, 1216, 568, 519, 8912, 18262, 563, 2414, 1118, 519, 7401, 27125, 14974, 1216, 543, 1287, 1039, 547, 3762, 610, 7401, 9126, 267, 3382, 543, 1450, 547, 14869, 269, 1403, 1210, 10690, 3762, 8833, 1310, 519, 1216, 814, 22799, 269, 1280, 6793, 1494, 1890, 946, 811, 7401, 11435, 610, 1450, 547, 14869, 538, 3905, 1216, 585, 513, 3476, 942, 563, 2691, 1677, 2422, 4563, 21281, 681, 20600, 454, 5278, 7606, 946, 519, 3109, 7401, 27125, 538, 9114, 340, 540, 30690, 269, 2991, 513, 31576, 5622, 267, 18552, 7401, 27125, 883, 4552, 267, 3382, 4552, 609, 5068, 1698, 585, 606, 5662, 610, 811, 543, 1287, 27125, 856, 269, 7490, 1294, 713, 11600, 281, 4563, 21281, 681, 20600, 543, 14986, 4424, 1280, 14730, 518, 22458, 7822, 585, 5820, 543, 5528, 593, 875, 547, 3382, 840, 2173, 1155, 12457, 24827, 563, 8489, 547, 1265, 10690, 3109, 7401, 3762, 2228, 6441, 328, 17980, 4563, 21281, 267, 700, 5366, 267, 476, 272, 270, 273, 11013, 13340, 525, 630, 303, 871, 540, 476, 277, 264, 0, 763, 1876, 593, 3023, 454, 1103, 519, 1533, 540, 20274, 267, 519, 3656, 2085, 540, 9844, 585, 4638, 26697, 585, 1312, 9038, 543, 8951, 568, 476, 1626, 1296, 2025, 269, 634, 2085, 540, 9844, 568, 519, 3656, 16166, 585, 519, 5934, 3656, 2085, 693, 799, 606, 1367, 814, 519, 2790, 4390, 547, 9844, 547, 4638, 26697, 609, 1776, 1367, 269, 1403, 596, 1810, 1406, 1616, 547, 1265, 3054, 6849, 10997, 540, 27152, 22149, 543, 13042, 607, 513, 3023, 1055, 2658, 585, 519, 1964, 540, 707, 1272, 2073, 621, 779, 1655, 547, 723, 513, 1360, 2312, 1620, 540, 12327, 16898, 14877, 875, 519, 1876, 568, 14648, 269, 3973, 621, 779, 1732, 547, 2721, 513, 2790, 11064, 693, 1032, 29419, 1175, 547, 581, 2922, 17859, 267, 519, 4901, 1281, 711, 3247, 693, 519, 1032, 6040, 15262, 269, 1703, 616, 1082, 824, 2152, 547, 2015, 950, 7234, 519, 2085, 540, 9844, 538, 20274, 269, 2276, 946, 513, 3099, 540, 1114, 2409, 267, 799, 1491, 883, 2272, 519, 3448, 6502, 540, 1312, 6105, 269, 769, 891, 2829, 267, 971, 607, 20274, 267, 519, 2085, 540, 9844, 568, 5462, 676, 519, 2085, 3017, 1063, 519, 1079, 6105, 543, 568, 3908, 676, 513, 5934, 2085, 269, 1280, 1383, 267, 513, 1533, 949, 1305, 513, 5934, 2085, 540, 9844, 693, 476, 1691, 267, 855, 3970, 9844, 547, 4891, 945, 616, 1369, 476, 274, 1296, 540, 741, 2085, 269, 901, 1131, 1450, 513, 1032, 6040, 547, 1876, 2685, 723, 3023, 609, 513, 1032, 6040, 267, 855, 1118, 621, 7803, 585, 606, 1032, 6040, 547, 723, 3023, 609, 519, 1482, 1032, 6040, 563, 21809, 21881, 681, 1901, 281, 589, 6651, 547, 3557, 16572, 543, 27561, 21976, 454, 1103, 1455, 1876, 22875, 267, 27152, 22149, 568, 1875, 1721, 24862, 4638, 2534, 538, 799, 835, 540, 519, 2043, 568, 2630, 519, 2085, 540, 9844, 519, 2085, 2838, 547, 16155, 9844, 547, 519, 2623, 269, 634, 2474, 1126, 4638, 6057, 610, 1126, 12387, 652, 566, 949, 849, 581, 1031, 267, 855, 27152, 22149, 3622, 4016, 547, 3023, 1063, 606, 2937, 543, 513, 5634, 2250, 519, 2085, 540, 23648, 2073, 543, 949, 4061, 581, 13747, 689, 1126, 4638, 6057, 563, 1103, 27152, 22149, 267, 16765, 3196, 610, 3463, 568, 2356, 711, 1459, 269, 6465, 21881, 22149, 4031, 1095, 2541, 28170, 542, 2073, 1317, 513, 5634, 610, 15508, 27656, 11474, 2937, 568, 16155, 24835, 762, 540, 4758, 9844, 547, 519, 957, 563, 4407, 1082, 2829, 538, 3013, 1305, 519, 2085, 540, 9844, 693, 476, 1240, 267, 7147, 1876, 1403, 513, 1032, 6040, 543, 513, 1032, 6040, 616, 6580, 267, 972, 949, 581, 513, 1974, 950, 5221, 540, 519, 10335, 540, 4638, 14213, 10997, 267, 2523, 1996, 1295, 832, 563, 2691, 9956, 4547, 19151, 543, 19201, 547, 1272, 267, 646, 729, 18532, 538, 7446, 1079, 1762, 3197, 607, 1010, 23233, 269, 3973, 607, 1631, 267, 1079, 14038, 2348, 931, 839, 783, 3023, 568, 9985, 24669, 269, 2201, 519, 824, 1688, 267, 606, 2937, 12387, 20535, 513, 1126, 568, 1065, 516, 2380, 1043, 269, 634, 3017, 1063, 519, 1079, 3871, 1131, 3100, 6654, 269, 1323, 4587, 7141, 945, 814, 3023, 609, 1010, 7820, 8004, 23136, 666, 581, 18486, 267, 21991, 3176, 267, 543, 795, 9229, 585, 519, 957, 563, 10214, 8338, 267, 789, 949, 4163, 519, 16663, 540, 1373, 13042, 513, 3023, 1055, 2658, 585, 519, 1964, 540, 741, 1272, 269, 634, 1966, 3335, 14340, 950, 519, 5256, 568, 476, 1240, 610, 476, 866, 267, 519, 4775, 568, 1063, 476, 1691, 543, 476, 1626, 267, 543, 519, 2385, 540, 519, 7820, 7141, 2046, 525, 10997, 269, 4634, 19151, 1131, 581, 13042, 513, 3023, 1055, 2658, 2221, 267, 607, 646, 729, 5156, 547, 581, 476, 1626, 543, 19201, 476, 1724, 950, 741, 2078, 3459, 563, 15987, 519, 2085, 540, 9844, 1775, 563, 21809, 21881, 681, 1901, 281, 634, 6520, 540, 3117, 550, 454, 763, 2085, 540, 9844, 568, 519, 2085, 693, 799, 513, 1762, 1268, 666, 16155, 3858, 547, 4638, 2534, 269, 6520, 540, 9844, 4031, 4019, 547, 782, 3029, 540, 4638, 2534, 267, 8151, 689, 21098, 532, 543, 23816, 1782, 547, 4638, 26697, 269, 634, 2085, 540, 9844, 547, 4638, 2534, 568, 476, 1626, 1296, 269, 769, 930, 2665, 267, 519, 2085, 540, 9844, 568, 2362, 585, 1383, 267, 950, 972, 568, 513, 2078, 540, 3972, 267, 6392, 610, 21341, 563, 4263, 1296, 6040, 267, 596, 666, 8917, 267, 4444, 513, 2777, 267, 610, 1256, 1205, 9310, 269, 3687, 832, 616, 1447, 2693, 547, 3068, 2101, 3656, 4539, 585, 4130, 6411, 540, 1876, 12577, 267, 901, 568, 3226, 1271, 585, 1032, 29419, 547, 1174, 267, 607, 789, 949, 581, 6580, 563, 763, 3656, 2085, 547, 723, 3023, 538, 14135, 568, 476, 1626, 1296, 2025, 269, 901, 1797, 602, 621, 568, 513, 19439, 762, 1055, 775, 547, 723, 3023, 2436, 21420, 267, 5711, 610, 1387, 609, 7606, 2630, 476, 1626, 1296, 2025, 267, 607, 7150, 538, 3296, 589, 540, 519, 14135 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 302, 1186, 16438, 517, 639, 568, 513, 2186, 540, 522, 4788, 2138, 1006, 4524, 6353, 676, 21245, 267, 17326, 27399, 267, 2855, 15219, 6193, 31669, 521, 3147, 3547, 269, 744, 1186, 16438, 517, 639, 568, 4749, 2404, 609, 18215, 543, 5924, 959, 684, 5632, 28478, 6362, 630, 3240, 16438, 517, 639, 1070, 6825, 32376, 693, 1314, 807, 2059, 609, 8965, 2242, 1496, 21581, 476, 272, 4940, 744, 1186, 16438, 517, 639, 1250, 16438, 517, 639, 6794, 814, 1083, 2406, 1044, 4330, 607, 15472, 4064, 543, 15472, 3952, 6794, 610, 918, 1231, 20860, 6794, 269, 634, 5868, 540, 522, 1186, 16438, 517, 639, 1250, 16438, 517, 639, 568, 7361, 4791, 543, 519, 2783, 568, 4749, 19451, 585, 8650, 6147, 10428, 541, 693, 1314, 807, 563, 1103, 519, 12963, 2085, 1895, 267, 522, 1186, 16438, 517, 639, 1250, 16438, 517, 639, 6794, 814, 1079, 12880, 1696, 8344, 2188, 281, 621, 949, 2901, 581, 1612, 2033, 31129, 610, 16948, 29795, 1190, 630, 7474, 568, 3468, 633, 610, 2022, 29795, 633, 1040, 769, 1312, 519, 2175, 267, 519, 31630, 568, 2808, 547, 581, 4761, 25358, 269, 670, 3291, 541, 543, 1071, 22086, 619, 267, 538, 513, 2013, 3126, 267, 4330, 741, 1995, 538, 8156, 476, 1691, 12963, 2550, 630, 3042, 476, 276, 1296, 610, 1447, 264, 7092, 689, 519, 522, 1186, 16438, 517, 639, 1250, 16438, 517, 639, 6794, 267, 11402, 538, 519, 12732, 540, 2063, 476, 1015, 1296, 269, 769, 476, 279, 2665, 267, 519, 1455, 29748, 5868, 729, 8650, 6147, 10428, 541, 693, 1314, 807, 269, 769, 713, 24794, 8826, 2689, 267, 476, 278, 2665, 941, 2901, 3361, 676, 3468, 633, 270, 1706, 664, 2739, 633, 1696, 5735, 269, 634, 6967, 476, 278, 2550, 1185, 606, 5817, 10510, 543, 941, 2808, 1612, 2033, 31129, 269, 1323, 5817, 5778, 4565, 770, 5448, 270, 1706, 698, 836, 30869, 729, 9571, 538, 519, 782, 519, 476, 278, 2550, 609, 513, 1612, 2033, 31129, 1696, 5735, 269, 769, 5354, 540, 519, 2550, 267, 2589, 1644, 609, 522, 1186, 16438, 517, 639, 1250, 16438, 517, 639, 6794, 15527, 547, 6375, 8839, 267, 855, 538, 513, 1906, 540, 873, 267, 8965, 17244, 30174, 585, 513, 1279, 8653, 269, 769, 519, 1353, 676, 670, 3291, 541, 543, 1071, 22086, 619, 267, 519, 1611, 8653, 540, 2589, 729, 5111, 476, 275, 3275, 630, 9792, 281, 476, 1428, 2395, 547, 476, 1626, 3275, 1040, 898, 568, 2352, 547, 2649, 1947, 16174, 1612, 2033, 31129, 522, 1186, 16438, 517, 639, 1250, 16438, 517, 639, 6794, 689, 602, 540, 16948, 9706, 739, 29795, 1190, 610, 7329, 11340, 987, 545, 522, 1186, 16438, 517, 639, 1250, 16438, 517, 639, 6794, 269, 2398, 11961, 520, 22088, 543, 1071, 22086, 619, 267, 538, 513, 1804, 1353, 630, 333, 815, 476, 32579, 2550, 1070, 7074, 602, 2550, 609, 519, 1612, 2033, 31129, 522, 1186, 16438, 517, 639, 1250, 16438, 517, 639, 6794, 1185, 513, 2362, 11841, 540, 10510, 282, 1191, 794, 10077, 282, 610, 267, 602, 789, 1185, 513, 7298, 10510, 610, 10551, 8374, 1739, 10510, 1191, 794, 267, 899, 519, 4527, 9710, 1676, 781, 6794, 563, 2171, 849, 12649, 782, 3370, 4095, 2665, 602, 941, 2139, 538, 519, 32253, 6538, 630, 572, 2117, 1117, 593, 476, 279, 4864, 267, 476, 1001, 279, 1040, 634, 4791, 2934, 267, 1696, 5735, 267, 2126, 543, 6364, 540, 476, 4391, 4080, 2665, 568, 24298, 538, 1496, 8368, 476, 272, 4940, 634, 2085, 540, 519, 2550, 24132, 689, 476, 1556, 3275, 547, 476, 2568, 1296, 269, 634, 8653, 540, 4576, 24132, 689, 513, 1906, 2395, 547, 476, 1321, 3275, 269, 744, 1186, 16438, 517, 639, 2173, 344, 16438, 517, 639, 2059, 609, 693, 1314, 807, 543, 8886, 762, 2623, 941, 519, 1034, 1455, 4791, 2934, 269, 634, 5778, 574, 1645, 543, 6147, 321, 4592, 335, 1400, 5714, 6514, 941, 711, 1980, 21881, 538, 3592, 782, 540, 519, 2665, 269, 634, 1696, 5735, 729, 1612, 2033, 31129, 538, 476, 1724, 630, 3374, 269, 272, 8472, 2665, 267, 5778, 4565, 770, 5448, 1373, 519, 1034, 1455, 10510, 282, 513, 2022, 29795, 1190, 1696, 5735, 729, 2938, 538, 476, 276, 2665, 282, 824, 1696, 328, 3098, 941, 19548, 13663, 267, 28939, 267, 1480, 6375, 32759, 3644, 3968, 267, 28103, 27193, 639, 543, 15464, 609, 519, 23561, 2048, 18608, 6853, 17287, 657, 8339, 634, 2550, 941, 1034, 4122, 5701, 609, 19076, 665, 20294, 32430, 9449, 3797, 267, 29416, 8803, 6950, 267, 543, 32326, 6375, 15644, 592, 1231, 269, 634, 6364, 729, 3622, 1434, 267, 609, 476, 3607, 856, 540, 476, 4391, 2665, 6029, 6454, 269, 3776, 2079, 7000, 602, 606, 11763, 610, 2022, 29795, 1190, 1696, 5735, 666, 581, 4857, 593, 519, 4493, 540, 513, 10156, 8653, 540, 10835, 12614, 630, 273, 268, 1015, 2395, 1070, 23463, 23463, 23463, 23463, 23463, 23463, 23463, 23463, 23463, 267, 314, 8368, 476, 272, 14073, 8368, 476, 272, 281, 12834, 540, 782, 4095, 2665, 3370, 538, 32253, 593, 519, 522, 1186, 16438, 517, 639, 2173, 344, 16438, 517, 639, 6794, 454, 288, 1297, 540, 8290, 723, 1044, 2404, 609, 522, 1186, 16438, 517, 639, 2173, 344, 16438, 517, 639, 6794, 267, 2066, 519, 8608, 269, 1452, 8290, 1331, 932, 1731, 2426, 684, 5984, 267, 667, 24122, 267, 5545, 29363, 4345, 267, 4639, 9539, 850, 24295, 267, 631, 7927, 267, 5274, 15601, 3644, 268, 277, 267, 14118, 27833, 589, 267, 24430, 545, 7578, 1990, 8803, 267, 30532, 338, 871, 773, 267, 15585, 8785, 543, 9210, 7322, 5174, 1551, 8290, 1421, 2676, 3849, 738, 268, 976, 564, 522, 1186, 16438, 517, 639, 2173, 344, 16438, 517, 639, 6794, 568, 849, 2901, 1612, 2033, 31129, 610, 1612, 664, 2739, 1190, 269, 634, 1034, 1455, 3119, 23872, 15087, 2404, 609, 519, 2937, 268, 976, 564, 522, 1186, 16438, 517, 639, 2173, 344, 16438, 517, 639, 6794, 616, 15910, 5557, 540, 519, 5761, 543, 6089, 269, 3474, 2033, 31129, 522, 1186, 16438, 517, 639, 2173, 344, 16438, 517, 639, 6794, 568, 2938, 538, 4587, 4079, 543, 814, 513, 2362, 4908, 540, 29363, 14527, 269, 769, 1082, 2665, 267, 519, 522, 1186, 16438, 517, 639, 2173, 344, 16438, 517, 639, 6794, 729, 4767, 538, 1480, 6375, 32759, 3644, 7783, 2550, 267, 16912, 539, 547, 581, 540, 16948, 29795, 1190, 2470, 269, 634, 1034, 1455, 17193, 9571, 538, 2937, 2550, 609, 713, 6794, 616, 519, 1884, 710, 584, 4689, 6046, 12489, 1826, 476, 273, 269, 769, 2937, 2550, 267, 2347, 1121, 2153, 568, 6913, 1739, 7245, 540, 6375, 8839, 563, 763, 5730, 20133, 5669, 14041, 602, 568, 4299, 538, 522, 1186, 16438, 517, 639, 1250, 16438, 517, 639, 6794, 568, 711, 1634, 269, 589, 17626, 7293, 6419, 16982, 9196, 543, 14806, 1712, 20293, 6921, 26651, 630, 293, 291, 294, 9984, 1842, 527, 1258, 12998, 29821, 630, 303, 4953, 264, 6268, 538, 513, 3461, 7000, 2799, 10307, 538, 3889, 1472, 519, 2620, 6147, 10428, 541, 22140, 630, 31860, 267, 519, 3728, 580, 658, 13540, 264, 543, 513, 5266, 4389, 10307, 538, 24845, 1624, 760, 1388, 10981, 525, 269, 1452, 9196, 2242, 28348, 936, 476, 1321, 3275, 269, 23398, 14479, 2799, 7620, 1063, 519, 522, 1529, 558, 19318, 543, 3308, 1949, 267, 1519, 519, 3308, 16794, 267, 28882, 3750, 4610, 267, 9120, 897, 997, 15252, 267, 543, 6147, 10428, 541, 522, 1529, 558, 19318, 2357, 332, 529, 267, 543, 1287, 8519, 538, 519, 5312, 3942, 607, 519, 2589, 17251, 269, 6271, 6419, 16982, 9196, 2861, 1353, 7074, 513, 4389, 14479, 1063, 519, 6147, 31616, 543, 5179, 16794, 267, 855, 606, 2799, 14479, 609, 1624, 760, 17010, 1790, 926, 13926, 4525, 563, 2304, 16991, 2619, 30986, 568, 2808, 3743, 585, 519, 4527, 540, 6689, 1612, 2033, 31129, 522, 1186, 16438, 517, 639, 1250, 16438, 517, 639, 6794, 269, 16790, 656, 756, 3672, 547, 22965, 600, 622, 13805, 24818, 273, 630, 294, 1663, 291, 273, 264, 616, 1455, 538, 2550, 609, 6689, 522, 1186, 16438, 517, 639, 1250, 16438, 517, 639, 6794, 269, 634, 22965, 600, 622, 13805, 24818, 273, 568, 513, 6147, 10428, 541, 10391, 13805, 543, 568, 3743, 585, 5348, 25443, 3919, 538, 519, 6147, 31616, 269, 769, 2937, 2665, 267, 5778, 12949, 10999, 267, 6147, 31616, 729, 1336, 547, 581, 4299, 269, 1703, 729, 513, 27556, 2530, 540, 8830, 7219, 16660, 2281, 543, 7202, 622, 11409, 538, 519, 6147, 31616, 563, 763, 4998, 2126, 585, 522, 1186, 16438, 517, 639, 1250, 16438, 517, 639, 6794, 568, 7361, 7164, 865, 2484, 543, 568, 1759, 593, 2833, 6591, 609, 8156, 1367, 2665, 267, 607, 4843, 538, 1585, 2013, 5359, 269, 595, 20294, 8803, 6950, 543, 19076, 665, 20294, 32430, 9449, 616, 519, 1034, 4749, 13950, 2126, 3681, 269, 2271, 571, 27281, 6375, 15644, 6081, 610, 9842, 14090, 12742, 529, 616, 1631, 1373, 5051, 1031, 269, 700, 2299, 267, 1082, 2665, 723, 1044, 5701, 609, 678, 527, 5060, 574, 629, 610, 1970, 1673, 846, 7814, 2684, 6664, 29524, 269, 589, 4999, 6375, 8839, 568, 1732, 538, 519, 2359, 540, 713, 6794, 269, 589, 2487, 19747, 4693, 3379, 519, 12117, 540, 2392, 23036, 821, 543, 18068, 630, 7094, 2684, 6664, 29524, 264, 538, 1453, 609, 513, 5778, 4565, 770, 5448, 2404, 522, 1186, 16438, 517, 639, 1250, 16438, 517, 639, 6794, 609, 1840, 540, 476, 1321, 9979, 540, 32326, 6375, 15644, 6081, 547, 519, 2392, 23036, 821, 543, 7814, 2684, 6664, 29524, 20786, 269, 15863, 729, 12290, 21237, 593, 606, 522, 1186, 16438, 517, 639, 1250, 16438, 517, 639, 693, 1314, 807, 6794, 10335, 4336, 267, 909, 547, 835, 1032, 269, 589, 3677, 8167, 540, 2550, 538, 519, 2048, 842, 571, 27281, 6375, 15644, 6081, 262, 1895, 1185, 6571, 540, 519, 522, 1186, 16438, 517, 639, 1250, 16438, 517, 639, 6794, 2589, 982, 729, 4767, 538, 519, 2048, 7224, 32326, 6375, 15644, 6081, 262, 1895, 269, 634, 5767, 7422, 723, 7074, 602, 2550, 609, 606, 7329, 11340, 987, 545, 522, 1186, 16438, 517, 639, 1250, 16438, 517, 639, 6794, 4431, 1732, 547, 6375, 8839, 538, 6476, 547, 1346, 609, 513, 1612, 2033, 31129, 522, 1186, 16438, 517, 639, 1250, 16438, 517, 639, 6794, 269, 1280, 31916, 2126, 540, 1250, 16438, 517, 639, 267, 804, 517, 1794, 788, 600, 568, 519, 9053, 3075, 563, 1103, 3932, 267, 1312, 1612, 2033, 31129, 543, 3468, 633, 9706, 739, 29795, 633, 522, 1186, 16438, 517, 639, 1250, 16438, 517, 639, 6794, 616, 8449, 11402, 538, 519, 12963, 2085, 1895, 269, 589, 10368, 960, 909, 1590, 1331, 9196, 23857, 547, 3713, 606, 5817, 5778, 4565, 770, 5448, 270, 1706, 698, 836, 30869, 269, 589, 4999, 6375, 8839, 568, 1419, 3811, 538, 10970, 11868, 519, 771, 29058, 2589, 540, 519, 6794, 563, 295, 3291, 541, 589, 267, 645, 8114, 13662, 267, 18491, 28385, 631, 267, 32038, 987, 28251, 267, 16429, 3873, 590, 267, 4569, 584, 534, 987, 13662, 267, 1696, 620, 269, 17925, 522, 1186, 16438, 517, 639, 2173, 344, 16438, 517, 639, 268, 1092, 19333, 6794, 281, 15232, 689, 513, 24596, 1416, 6280, 6413, 269, 3026, 340, 1503, 3127, 476, 1001, 279, 282, 5780, 281, 15836, 273, 268, 278, 269, 1496, 17359, 1257, 2639, 9288, 6511, 31179, 267, 590, 996, 681, 267, 932, 752, 4599, 691, 344, 645, 267, 717, 592, 10620, 590, 267, 3397, 3863, 8403, 590, 267, 715, 15546, 16660, 623, 269, 11671, 4565, 770, 5448, 9306, 607, 522, 1186, 16438, 517, 639, 2173, 344, 16438, 517, 639, 281, 589, 3126, 540, 3670, 2665, 543, 2689, 540, 3332, 269, 808, 623, 2664, 520, 337, 11671, 338, 857, 476, 1001, 277, 282, 1556, 281, 32699, 268, 278, 269, 1496, 303, 308, 13696, 3633, 316, 1496, 17359, 1257, 2639, 4777, 14472, 5451, 26369, 9049, 267, 16902, 990, 534, 31899, 631, 267, 632, 4906, 13698, 267, 674, 926, 553, 26712, 267, 674, 7559, 715, 305, 267, 632, 7799, 320, 8713, 267, 1696, 620, 269, 744, 1186, 16438, 517, 639, 2173, 344, 16438, 517, 639, 268, 1092, 19333, 6794, 2404, 609, 669, 1731, 2426, 684, 5984, 543, 28939, 3644, 1071, 26529, 269, 2271, 808, 16791, 2598, 476, 1001, 279, 269, 533, 4512, 281, 590, 6344, 272, 268, 9032, 272, 273, 263, 1240, 264, 30306, 3199, 268, 272, 563, 17764, 4673, 590, 267, 594, 6359, 9874, 715, 267, 15917, 1662, 5866, 918, 267, 744, 728, 570, 267, 918, 1092, 328, 590, 269, 4201, 641, 1910, 2013, 540, 522, 1186, 16438, 517, 639, 2173, 344, 16438, 517, 639, 268, 1092, 19333, 543, 6147, 10428, 541, 5042, 28146, 6794, 2404, 609, 1507, 1591, 26217, 540, 519, 5761, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 20263, 9498, 607, 1134, 607, 3403, 707, 1344, 269, 901, 568, 3622, 513, 4015, 540, 7389, 269, 2991, 519, 9498, 814, 6035, 596, 707, 1239, 621, 779, 942, 547, 2689, 519, 5750, 543, 849, 4612, 519, 2164, 269, 634, 5750, 2306, 946, 540, 513, 1899, 5750, 3898, 609, 25549, 3515, 547, 1397, 1142, 4908, 269, 21414, 1141, 891, 3515, 12969, 563, 763, 1647, 543, 1439, 1448, 540, 513, 536, 1640, 20263, 4783, 568, 950, 519, 4783, 7575, 689, 4642, 547, 513, 1448, 540, 8701, 640, 1689, 269, 1452, 7907, 616, 23125, 856, 676, 18980, 18042, 14258, 4171, 13350, 640, 5673, 593, 519, 14487, 281, 519, 2168, 4783, 568, 476, 2537, 2395, 267, 519, 3929, 4783, 476, 2764, 2395, 543, 519, 13074, 7214, 4783, 476, 3451, 2395, 269, 634, 3308, 4783, 630, 6246, 2395, 264, 6941, 519, 1719, 538, 513, 10875, 543, 18900, 6015, 267, 519, 12716, 4783, 630, 4366, 2395, 264, 20475, 519, 12588, 547, 2070, 835, 779, 1915, 543, 22464, 267, 543, 519, 5289, 4783, 630, 7871, 2395, 264, 6941, 6418, 6617, 543, 17159, 14302, 269, 634, 1647, 543, 1439, 1448, 540, 513, 536, 1640, 20263, 4783, 568, 950, 519, 4783, 7575, 689, 11613, 1100, 547, 513, 1448, 540, 8701, 640, 1689, 269, 1452, 4162, 616, 4857, 676, 18980, 18042, 14258, 4171, 13350, 640, 5673, 593, 519, 2298, 281, 519, 2168, 4783, 568, 476, 2537, 2395, 267, 519, 3929, 4783, 476, 2764, 2395, 543, 519, 13074, 7214, 4783, 476, 3451, 2395, 269, 634, 12716, 4783, 630, 6246, 2395, 264, 6941, 519, 1719, 538, 513, 10875, 543, 18900, 1582, 12635, 267, 519, 12716, 4783, 630, 4366, 2395, 264, 8761, 519, 2702, 547, 13498, 835, 779, 7209, 543, 23141, 267, 543, 519, 5289, 4783, 630, 7871, 2395, 264, 6941, 6418, 6617, 543, 17159, 14302, 269, 1284, 1131, 899, 547, 1095, 2541, 602, 519, 476, 273, 6574, 536, 1640, 15219, 916, 630, 2537, 2395, 543, 476, 2764, 2395, 264, 2099, 513, 2186, 540, 6454, 610, 10804, 566, 540, 519, 8273, 6129, 5336, 3019, 4783, 563, 1432, 1772, 3733, 645, 1640, 20263, 454, 2026, 649, 723, 2965, 13890, 936, 707, 536, 1640, 20263, 568, 519, 4908, 540, 707, 1272, 3196, 1379, 4092, 1472, 519, 3815, 540, 1648, 538, 707, 1560, 269, 1452, 2188, 540, 1648, 616, 4122, 1572, 669, 752, 6652, 269, 1452, 669, 752, 6652, 616, 3532, 543, 3056, 4229, 538, 707, 1272, 269, 1358, 616, 711, 1152, 3743, 585, 707, 1072, 855, 849, 585, 707, 6197, 543, 849, 2104, 2619, 269, 1411, 666, 2638, 856, 519, 536, 1640, 15219, 6193, 1239, 602, 19674, 689, 891, 1379, 6703, 1210, 835, 540, 938, 536, 1640, 15219, 6193, 26732, 607, 1134, 607, 1178, 335, 1127, 269, 634, 1239, 596, 3489, 689, 891, 20241, 666, 4217, 596, 1118, 1272, 25926, 602, 616, 811, 23191, 609, 519, 1483, 2470, 540, 5168, 607, 1134, 607, 519, 1505, 1919, 2965, 616, 269, 634, 1523, 540, 536, 1640, 20263, 31234, 602, 835, 779, 1360, 1378, 1272, 568, 6766, 676, 513, 7059, 5214, 4783, 267, 543, 849, 8942, 547, 1118, 11236, 7282, 519, 4783, 607, 1134, 607, 1367, 8897, 538, 22589, 519, 4143, 4247, 269, 25635, 919, 540, 519, 536, 1640, 20263, 3494, 602, 519, 4783, 267, 799, 7506, 782, 476, 274, 7916, 267, 5222, 782, 2168, 267, 3929, 607, 1134, 607, 7214, 19206, 269, 8447, 536, 1640, 20263, 568, 513, 476, 2537, 6377, 4783, 4143, 547, 2168, 26176, 2088, 267, 15006, 267, 6043, 267, 16608, 607, 1134, 607, 575, 7491, 563, 2171, 1419, 1205, 4503, 538, 7493, 3069, 543, 10952, 2035, 269, 1809, 972, 616, 4052, 3344, 540, 536, 1640, 20263, 23314, 4480, 269, 4340, 547, 3744, 267, 3173, 267, 543, 18802, 2103, 267, 645, 1640, 15219, 916, 568, 513, 1808, 1272, 2619, 7923, 547, 596, 2094, 4332, 543, 607, 2189, 547, 596, 607, 707, 31937, 269, 8409, 945, 616, 6923, 538, 10103, 609, 741, 536, 1640, 15219, 916, 616, 519, 835, 945, 979, 593, 547, 24672, 3035, 1390, 1967, 538, 782, 3344, 540, 1272, 269, 8409, 945, 1810, 1406, 267, 1995, 23665, 543, 25354, 269, 16508, 2657, 16504, 7689, 12697, 454, 2171, 7866, 513, 1268, 779, 2168, 11733, 267, 543, 713, 8308, 2982, 2576, 519, 1655, 543, 10782, 2395, 585, 16706, 269, 634, 645, 1640, 20263, 2982, 596, 519, 2395, 596, 666, 2731, 7903, 519, 7182, 540, 707, 15904, 543, 519, 2395, 596, 949, 6560, 610, 1058, 2057, 2324, 856, 15587, 563, 25444, 779, 645, 1640, 20263, 2542, 786, 1331, 513, 1906, 5906, 2395, 1142, 1554, 649, 1289, 968, 27287, 17963, 6100, 1452, 616, 2395, 596, 2461, 1034, 2693, 547, 1995, 2168, 2800, 543, 6616, 891, 2395, 6619, 540, 942, 1223, 2965, 581, 12468, 3058, 563, 1607, 2709, 814, 5963, 9927, 1004, 779, 2729, 543, 649, 4076, 1256, 4862, 649, 4076, 5280, 2061, 1761, 647, 15969, 621, 779, 865, 3532, 269, 15526, 4422, 998, 1272, 7168, 9420, 569, 609, 1100, 2856, 1018, 14182, 786, 3142, 269, 1284, 948, 7866, 1018, 707, 2395, 6619, 949, 1413, 899, 585, 519, 1101, 942, 269, 1879, 596, 917, 1018, 779, 4947, 267, 596, 666, 5265, 5965, 3054, 269, 1879, 596, 4076, 18389, 1229, 1055, 707, 3076, 788, 987, 2507, 901, 568, 513, 31387, 609, 513, 30246, 547, 4466, 707, 1259, 1394, 269, 16508, 2657, 16504, 7689, 12697, 454, 7883, 547, 1022, 25877, 543, 596, 3580, 5544, 602, 835, 2370, 2025, 14799, 945, 1797, 1870, 2507, 2701, 779, 711, 972, 547, 1404, 267, 1352, 779, 972, 547, 654, 2562, 543, 3094, 1352, 1281, 256, 13095, 1091, 616, 1352, 6487, 1945, 1100, 835, 3116, 538, 519, 25877, 1281, 2507, 4173, 1979, 800, 628, 332, 256, 1284, 4076, 782, 4862, 519, 7215, 968, 2791, 2461, 593, 513, 18822, 1792, 752, 892, 543, 968, 20365, 561, 15085, 2196, 856, 892, 4270, 267, 713, 2965, 2337, 1397, 1004, 519, 2395, 789, 3580, 1995, 513, 18822, 1792, 752, 543, 519, 2395, 789, 1058, 14284, 1022, 13989, 269, 16840, 2648, 713, 585, 25877, 779, 267, 5026, 25919, 267, 543, 13169, 17914, 2336, 299, 10976, 292, 1299, 21096, 16249, 912, 12663, 594, 2479, 1265, 1250, 9997, 22940, 286, 1772, 519, 1268, 594, 6557, 609, 519, 1318, 835, 585, 803, 286, 1772, 1250, 28910, 24807, 15095, 609, 803, 286, 1452, 616, 513, 1906, 2055, 2818, 782, 723, 12943, 950, 789, 6443, 543, 1118, 713, 606, 2653, 6133, 547, 519, 6580, 543, 2078, 6990, 269, 901, 568, 519, 1152, 1907, 602, 17358, 17356, 568, 513, 13576, 543, 4657, 3364, 563, 1607, 835, 568, 519, 1034, 6654, 543, 1946, 594, 10710, 519, 1655, 585, 2063, 256, 9608, 1646, 267, 1876, 540, 16007, 267, 23314, 267, 4244, 4978, 267, 6746, 1108, 267, 31826, 543, 865, 593, 616, 938, 3694, 543, 7423, 585, 713, 2709, 269, 898, 17838, 899, 21173, 1317, 713, 568, 1945, 6216, 1007, 538, 519, 2230, 543, 5360, 9323, 1142, 540, 891, 2609, 1510, 2348, 547, 14526, 609, 873, 256, 16508, 2657, 16504, 7689, 12697, 454, 763, 645, 1640, 20263, 281, 645, 1640, 20263, 24664, 15873, 1656, 645, 1640, 15219, 6193, 7261, 3380, 454, 32546, 1533, 602, 538, 1063, 519, 23473, 4783, 630, 1485, 476, 272, 264, 543, 519, 8417, 4783, 630, 1485, 476, 1691, 264, 972, 568, 513, 1974, 540, 476, 2190, 3108, 5059, 1063, 1554, 476, 1556, 630, 874, 9713, 4783, 264, 543, 1554, 476, 1626, 630, 842, 21526, 4783, 1040, 1452, 9979, 1376, 693, 4332, 543, 5854, 622, 538, 513, 3586, 20534, 5951, 2429, 1272, 267, 543, 8888, 891, 9979, 5267, 602, 606, 1367, 781, 4398, 1377, 538, 891, 6753, 666, 581, 10567, 1554, 676, 1554, 269, 634, 476, 2537, 6377, 4783, 568, 3335, 5219, 547, 607, 519, 5256, 4783, 543, 519, 476, 2764, 6377, 4783, 568, 1419, 5219, 547, 607, 519, 4775, 4783, 267, 2094, 1312, 2021, 543, 9038, 616, 12936, 676, 519, 536, 1640, 20263, 269, 0, 268, 1215, 1082, 8614, 327, 990, 1695, 779, 654, 5893, 525, 5747, 1317, 540, 1100, 1973, 13816, 4288, 888, 268, 4208, 798, 8614, 327, 990, 1695, 654, 5893, 525, 711, 1796, 585, 519, 3084, 1884, 1335, 888, 268, 1548, 568, 2189, 827, 8614, 327, 990, 1695, 654, 5893, 888, 268, 1684, 8614, 327, 990, 1695, 654, 5893, 525, 3494, 538, 519, 24446, 888, 268, 1215, 568, 8614, 327, 990, 1695, 654, 5893, 1114, 689, 8567, 888, 268, 7316, 798, 8614, 327, 990, 1695, 654, 5893, 525, 1205, 741, 4978, 888, 268, 1548, 666, 8614, 327, 990, 1695, 654, 5893, 525, 711, 3548, 888, 268, 1684, 8614, 327, 990, 1695, 654, 5893, 525, 723, 1187, 5644, 888, 268, 1684, 8614, 327, 990, 1695, 654, 5893, 525, 2628, 9204, 888, 268, 1548, 14812, 798, 8614, 327, 990, 1695, 654, 5893, 8661, 888, 268, 4208, 798, 8003, 8065, 338, 711, 723, 8837, 888, 268, 1684, 8614, 327, 990, 1695, 654, 5893, 525, 3494, 789, 1152, 3283, 2469, 13140, 888, 268, 4208, 798, 8614, 327, 990, 1695, 654, 5893, 525, 20549, 1973, 13816, 16272, 888, 268, 1548, 6426, 798, 8614, 327, 990, 1695, 654, 5893, 525, 946, 888, 268, 1548, 2186, 540, 4984, 568, 8614, 327, 990, 1695, 654, 5893, 888, 268, 5808, 3323, 8614, 327, 990, 1695, 654, 5893, 4984, 888, 268, 1684, 8614, 327, 990, 1695, 654, 5893, 525, 4235, 4568, 888, 268, 4208, 798, 8614, 327, 990, 1695, 654, 5893, 525, 3494, 1152, 476, 13893, 476, 1822, 979, 547, 13140, 888, 268, 2052, 8614, 327, 990, 1695, 654, 5893, 946, 4332, 1852, 888, 268, 1548, 798, 8614, 327, 990, 1695, 654, 5893, 3494, 827, 13140, 888, 1692, 1082, 8614, 327, 990, 1695, 779, 654, 5893, 525, 5747, 1317, 540, 1100, 1973, 13816, 4288, 888, 273, 8614, 327, 990, 1695, 779, 654, 5893, 525, 8269, 10650, 540, 1973, 13816, 16272, 1883, 547, 7972, 540, 476, 273, 8614, 327, 990, 1695, 779, 654, 5893, 525, 267, 8318, 518, 9060, 1923, 595, 6195, 5240, 10756, 3963, 798, 8614, 327, 990, 1695, 654, 5893, 525, 711, 1796, 585, 519, 3084, 1884, 1335, 888, 297, 12317, 990, 1695, 779, 654, 5893, 525, 3494, 741, 14336, 4800, 12851, 547, 2696, 779, 8003, 267, 799, 789, 2070, 607, 606, 4890, 2229, 269, 1358, 31831, 689, 2892, 5024, 519, 9206, 540, 1022, 2197, 610, 13465, 3084, 2065, 8964, 267, 799, 789, 3494, 616, 3029, 540, 10847, 267, 4352, 789, 949, 1796, 856, 540, 2463, 563, 1432, 568, 2189, 827, 8614, 327, 990, 1695, 654, 5893, 888, 310, 5893, 525, 3180, 513, 1297, 540, 2757, 4168, 5784, 855, 849, 1082, 602, 616, 2189, 547, 873, 269, 1358, 14751, 602, 2696, 1765, 297, 12317, 990, 1695, 28934, 519, 1034, 1164, 269, 4906, 2441, 568, 2696, 779, 8665, 267, 998, 7247, 5609, 995, 3425, 666, 581, 11028, 4290, 539, 547, 2696, 269, 634, 10513, 13336, 568, 519, 2012, 540, 2696, 779, 3742, 3196, 538, 519, 1158, 563, 2710, 8614, 327, 990, 1695, 654, 5893, 525, 3494, 538, 519, 24446, 888, 19284, 1082, 824, 10764, 267, 8614, 327, 990, 1695, 779, 654, 5893, 525, 3494, 602, 2669, 568, 711, 1175, 519, 2669, 540, 519, 2168, 1560, 855, 849, 519, 2669, 540, 519, 9997, 269, 968, 2691, 513, 1268, 10523, 267, 646, 2781, 1162, 547, 2291, 269, 12280, 568, 519, 6587, 540, 1272, 269, 2560, 1717, 267, 789, 798, 3494, 602, 24446, 568, 2009, 563, 1692, 568, 8614, 327, 990, 1695, 654, 5893, 1114, 689, 8567, 888, 297, 12317, 990, 1695, 779, 654, 5893, 525, 2697, 607, 10271, 267, 855, 741, 4978, 616, 1114, 689, 824, 10271, 538, 930, 2081, 269, 1280, 3236, 267, 789, 4001, 602, 4906, 568, 519, 5067, 540, 2696, 855, 568, 711, 851, 540, 513, 27076, 269, 2560, 634, 2671, 540, 782, 772, 2529, 269, 10271, 945, 3494, 538, 22946, 568, 476, 1015, 2053, 3677, 630, 3583, 260, 1916, 8489, 798, 8614, 327, 990, 1695, 654, 5893, 525, 1205, 741, 4978, 888, 297, 12317, 990, 1695, 779, 654, 5893, 525, 3494, 519, 6426, 729, 6273, 676, 2696, 543, 568, 13840, 4977, 269, 1358, 1294, 519, 6426, 607, 519, 1292, 1259, 538, 799, 2696, 31825, 1010, 786, 547, 1480, 7919, 267, 543, 789, 4612, 621, 12777, 630, 21955, 585, 15102, 602, 616, 15069, 5921, 547, 581, 12572, 610, 19621, 1916, 1432, 666, 8614, 327, 990, 1695, 654, 5893, 525, 711, 3548, 888, 297, 12317, 990, 1695, 779, 654, 5893, 525, 17712, 664, 689, 4189, 519, 5779, 540, 2831, 689, 799, 1973, 814, 711, 1044, 5265, 27071, 269, 1358, 849, 31831, 689, 4189, 971, 1919, 607, 1973, 30725, 720, 543, 1973, 17339, 269, 3143, 2027, 7041, 568, 2838, 269, 634 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1106, 713, 2376, 269, 1548, 568, 513, 267, 1557, 827, 2069, 7005, 4828, 4065, 2296, 3767, 2296, 1893, 814, 1044, 3262, 782, 1472, 519, 1158, 10756, 763, 14905, 3622, 15565, 703, 2169, 14327, 269, 594, 4280, 1864, 952, 646, 1131, 1397, 803, 1472, 519, 695, 9068, 269, 1411, 1616, 547, 4125, 519, 3988, 12823, 543, 4664, 269, 1411, 666, 2141, 1265, 513, 1875, 12735, 3511, 1242, 1557, 693, 938, 1603, 3028, 269, 1306, 609, 824, 25643, 4808, 267, 606, 16878, 1557, 568, 513, 5094, 1826, 540, 4081, 1603, 6322, 547, 1118, 519, 1053, 7747, 606, 2856, 269, 634, 2360, 540, 19151, 543, 7325, 328, 1115, 3664, 543, 12556, 732, 1101, 7805, 538, 519, 6429, 950, 789, 1101, 634, 1152, 2601, 1352, 949, 723, 5280, 19151, 543, 19201, 568, 952, 1352, 25374, 827, 875, 19201, 5433, 811, 982, 1200, 2816, 269, 1879, 596, 2328, 513, 10855, 1557, 269, 1323, 2376, 1603, 3028, 3091, 873, 606, 1655, 3070, 2094, 621, 14998, 873, 547, 1205, 519, 2816, 2944, 1510, 2348, 547, 25058, 741, 942, 269, 634, 3004, 3022, 344, 2986, 17283, 267, 2504, 543, 6455, 540, 10269, 1590, 581, 1500, 10363, 269, 1401, 1842, 7480, 1557, 4214, 267, 1163, 895, 593, 519, 6074, 3584, 2140, 269, 8178, 6394, 2963, 267, 6905, 1557, 9297, 1382, 2055, 10756, 23114, 21931, 4828, 6201, 1280, 30793, 2471, 7300, 7151, 29149, 267, 1557, 267, 1603, 281, 634, 17943, 910, 17721, 8586, 563, 23114, 21931, 4828, 6201, 1280, 30793, 2471, 7300, 8281, 4828, 593, 267, 2123, 267, 1995, 267, 12726, 540, 12910, 14430, 563, 23114, 21931, 4828, 6201, 1280, 30793, 2471, 7300, 8281, 21261, 894, 267, 1557, 267, 3584, 585, 5441, 4841, 267, 1557, 563, 23114, 21931, 4828, 6201, 1280, 30793, 2471, 7300, 7151, 1215, 547, 1711, 513, 2528, 540, 12477, 630, 1557, 30155, 23114, 21931, 4828, 6201, 1280, 30793, 2471, 7300, 8281, 14168, 267, 513, 5183, 267, 3898, 11090, 11426, 10749, 267, 12910, 14430, 563, 23114, 21931, 4828, 6201, 1280, 30793, 2471, 7300, 7151, 1401, 1842, 7480, 267, 1557, 2433, 1215, 547, 3503, 267, 12856, 267, 14474, 543, 6201, 563, 23114, 21931, 4828, 6201, 1280, 30793, 2471, 3367, 7151, 476, 1911, 267, 16878, 267, 1557, 267, 1888, 267, 2093, 267, 5675, 9669, 267, 543, 12726, 563, 23114, 21931, 4828, 6201, 1280, 30793, 2471, 7300, 7151, 11762, 547, 2328, 606, 1557, 593, 585, 3214, 1557, 538, 18008, 563, 23114, 21931, 4828, 6201, 1280, 30793, 2471, 7300, 8281, 9502, 267, 540, 267, 2648, 267, 2079, 12448, 31733, 331, 563, 23114, 21931, 4828, 6201, 1280, 30793, 2471, 3367, 7151, 21261, 894, 267, 1557, 267, 3584, 2433, 6153, 267, 12987, 563, 288, 10855, 1557, 568, 6322, 693, 10503, 606, 1843, 269, 26415, 23116, 585, 16926, 721, 320, 2328, 1250, 1957, 21099, 21257, 3594, 2852, 23504, 3732, 1557, 769, 519, 13891, 622, 593, 2806, 10407, 798, 512, 2442, 1957, 15293, 23116, 269, 5903, 540, 17823, 1399, 6713, 4828, 11762, 585, 513, 1215, 547, 4828, 269, 26263, 1580, 517, 610, 606, 2680, 267, 547, 2285, 596, 606, 2856, 1413, 998, 930, 540, 519, 4277, 10756, 4517, 2322, 621, 5196, 519, 1957, 269, 13760, 5409, 31904, 1063, 1507, 3334, 540, 5931, 543, 519, 3003, 960, 269, 27842, 267, 519, 2250, 528, 777, 657, 267, 713, 1568, 1317, 782, 519, 594, 546, 899, 547, 2995, 596, 827, 513, 1689, 540, 2232, 1557, 593, 1250, 2370, 269, 4828, 827, 1250, 1101, 1554, 540, 1153, 269, 3733, 1101, 1554, 538, 1164, 1153, 1557, 1306, 814, 1044, 11329, 856, 269, 590, 3068, 17477, 922, 8930, 3481, 4082, 267, 5959, 3427, 9608, 15048, 267, 519, 3804, 540, 513, 5339, 6268, 1557, 568, 547, 7903, 519, 1071, 539, 547, 1413, 693, 513, 32004, 540, 3332, 10756, 8196, 995, 1603, 4388, 267, 950, 596, 2328, 707, 1557, 267, 4816, 10887, 269, 21624, 5013, 607, 1134, 607, 5515, 609, 10855, 269, 21988, 12819, 1557, 13408, 540, 513, 1917, 340, 4979, 6679, 269, 8550, 12816, 267, 1616, 547, 1118, 2386, 649, 666, 2347, 707, 1950, 7084, 269, 898, 568, 707, 2816, 547, 6655, 707, 269, 6787, 922, 585, 13085, 5299, 8586, 1280, 9042, 10756, 23114, 21931, 4828, 6201, 1280, 30793, 2471, 3367, 7151, 7454, 19534, 1677, 16179, 267, 1557, 267, 689, 7454, 19536, 269, 910, 476, 15389, 277, 9293, 454, 11917, 7295, 568, 519, 4430, 3170, 12074, 538, 519, 1016, 12827, 10389, 5160, 267, 8219, 543, 8031, 907, 595, 341, 1883, 10781, 1806, 2797, 16056, 3898, 15242, 907, 4429, 10287, 519, 1034, 3730, 4388, 543, 15361, 585, 1603, 513, 10855, 1957, 2687, 547, 519, 1134, 3613, 19099, 7291, 907, 1548, 547, 3314, 609, 519, 267, 513, 5183, 1557, 1603, 3898, 907, 476, 1839, 8342, 5500, 6713, 4828, 11762, 907, 4429, 23114, 21931, 4828, 6201, 1280, 30793, 2471, 7300, 7151, 14905, 267, 3898, 585, 267, 2338, 2060, 27252, 18745, 14271, 7716, 269, 910, 476, 14625, 276, 9293, 454, 2414, 2040, 909, 267, 8794, 4950, 568, 3728, 4781, 10478, 1702, 610, 2042, 907, 19080, 15048, 1280, 3194, 7433, 2201, 23582, 907, 4429, 5415, 1809, 16472, 568, 1031, 585, 519, 2631, 540, 2976, 894, 1312, 540, 873, 18390, 543, 28148, 267, 2687, 547, 519, 5830, 1702, 540, 11007, 267, 538, 1840, 907, 5616, 1397, 803, 2626, 907, 4429, 23114, 21931, 4828, 6201, 1280, 30793, 2471, 7300, 8281, 1401, 1842, 7480, 267, 1557, 267, 1603, 9502, 267, 11762, 267, 11676, 7879, 269, 910, 476, 14917, 278, 9293, 454, 309, 326, 530, 677, 12031, 606, 17745, 6577, 8210, 933, 3438, 974, 3134, 330, 581, 7371, 1408, 1557, 907, 19080, 3184, 476, 274, 2694, 2165, 1957, 5856, 21189, 588, 1066, 724, 1206, 543, 12755, 3594, 907, 4429, 1692, 1684, 594, 3417, 21846, 9293, 538, 3733, 4828, 27085, 5131, 2564, 6142, 1250, 1101, 1554, 540, 1164, 1153, 1557, 907, 4429, 23114, 21931, 4828, 6201, 1280, 30793, 2471, 7300, 7151, 21756, 609, 513, 267, 27081, 267, 1274, 2590, 267, 1686, 12700, 27429, 269, 910, 476, 13923, 275, 9293, 454, 16240, 513, 29149, 4828, 907, 5675, 13268, 630, 5228, 24225, 547, 267, 1557, 3738, 1215, 547, 23590, 519, 1543, 267, 2497, 543, 11768, 540, 519, 1557, 907, 14905, 1557, 3898, 616, 607, 5205, 281, 9669, 593, 267, 1603, 606, 267, 513, 5183, 907, 3245, 22816, 756, 23697, 267, 1930, 2835, 585, 606, 1930, 1158, 907, 4429, 24993, 593, 4989, 476, 1015, 267, 2687, 547, 519, 1837, 267, 1863, 23545, 566, 909, 547, 476, 2190, 3108, 1354, 707, 2638, 514, 942, 269, 14451, 1167, 27641, 1557, 1383, 875, 547, 2328, 513, 20956, 7824, 269, 9671, 687, 538, 519, 7073, 2622, 476, 1001, 280, 10756, 301, 2720, 532, 18623, 1222, 4828, 454, 294, 20071, 609, 513, 23421, 661, 18732, 729, 8385, 11331, 21756, 609, 513, 5695, 3316, 543, 621, 7012, 1405, 2394, 519, 2034, 3368, 540, 519, 14206, 2540, 602, 519, 2012, 729, 4957, 907, 634, 10390, 910, 634, 5758, 540, 707, 5885, 1344, 630, 288, 264, 1058, 1397, 875, 596, 6603, 707, 630, 289, 264, 3932, 907, 1403, 596, 3668, 1995, 543, 991, 1489, 547, 2347, 2178, 3594, 10503, 513, 1268, 610, 513, 1747, 267, 1246, 713, 2656, 5850, 543, 2638, 824, 4930, 593, 938, 5816, 907, 4429, 25324, 24070, 4828, 6201, 1280, 5441, 454, 306, 15036, 602, 6280, 540, 8731, 15193, 1557, 5401, 621, 786, 581, 1318, 547, 5618, 1686, 540, 682, 517, 16037, 13005, 24064, 857, 1205, 1557, 2976, 894, 1647, 1153, 1603, 909, 27601, 907, 594, 917, 1018, 513, 10855, 1557, 907, 13159, 5758, 540, 3004, 1097, 4258, 1998, 1512, 781, 21756, 2060, 513, 23421, 661, 18732, 907, 4429, 14300, 267, 602, 654, 517, 23897, 1343, 454, 2414, 1376, 513, 10855, 1557, 267, 2253, 676, 23730, 3584, 907, 5851, 19396, 267, 3853, 267, 3427, 16930, 9628, 4425, 1054, 907, 6201, 540, 5533, 1557, 3584, 267, 2055, 543, 5098, 2893, 622, 906, 907, 4429, 21008, 894, 9085, 476, 1789, 288, 281, 11762, 585, 519, 3689, 454, 2171, 723, 1500, 513, 1592, 540, 476, 1015, 8966, 3584, 602, 596, 666, 946, 2786, 2476, 585, 707, 1557, 610, 946, 607, 606, 6667, 907, 1403, 596, 616, 1175, 899, 803, 543, 596, 4312, 6170, 513, 1247, 538, 707, 2296, 5049, 907, 15394, 267, 519, 14357, 3651, 338, 873, 907, 4429, 1692, 547, 2328, 513, 1434, 12819, 1557, 2433, 3584, 267, 1806, 454, 288, 2239, 1557, 2115, 547, 723, 513, 7811, 3898, 543, 596, 991, 547, 2628, 3007, 31677, 2497, 540, 519, 1557, 267, 855, 519, 1543, 602, 786, 30321, 873, 1434, 9344, 907, 8830, 16746, 6732, 267, 1603, 267, 2978, 281, 14905, 267, 7515, 543, 22955, 907, 634, 1184, 1557, 3584, 799, 596, 1058, 2015, 907, 4429, 16032, 267, 12819, 267, 1557, 267, 3584, 585, 4841, 769, 7433, 658, 454, 12749, 923, 585, 6713, 10749, 589, 1505, 673, 1935, 568, 2877, 547, 2328, 513, 1184, 1557, 907, 476, 1428, 6713, 4828, 11762, 2334, 15526, 2052, 4039, 622, 907, 4429, 1692, 547, 267, 7097, 606, 267, 1557, 593, 1323, 24803, 454, 3891, 6743, 513, 1413, 540, 30380, 8788, 543, 23362, 533, 3072, 519, 4585, 1930, 269, 1656, 1287, 2322, 513, 1507, 18062, 4216, 883, 1010, 3750, 543, 890, 1229, 883, 922, 12227, 476, 2918, 14581, 6435, 5999, 609, 16869, 12226, 269, 1411, 1522, 14172, 1557, 4876, 3853, 1439, 909, 9561, 707, 9344, 10756, 4338, 288, 267, 1557, 267, 3898, 267, 21295, 31876, 593, 3194, 7433, 454, 5226, 582, 282, 1863, 10749, 2311, 519, 4098, 540, 519, 1404, 269, 1215, 547, 267, 2669, 4845, 1058, 581, 15181, 538, 1169, 2197, 540, 519, 1158, 269, 10749, 267, 2123, 1806, 547, 1397, 741, 2798, 269, 20895, 267, 4779, 574, 16211, 267, 543, 849, 676, 6148, 6148, 711, 10804, 532, 519, 10678, 540, 713, 1557, 991, 8393, 269, 2051, 320, 10808, 267, 16664, 568, 17814, 267, 2328, 606, 267, 1434, 2376, 5830, 9585, 891, 4247, 676, 14678, 3384, 1142, 9433, 1641, 543, 5329, 5037, 9322, 269, 1635, 1818, 946, 540, 6405, 267, 22959, 10756, 1692, 547, 3503, 513, 9608, 21931, 454, 1103, 9759, 267, 713, 4909, 3693, 540, 1603, 2337, 1053, 2057, 17096, 269, 570, 573, 12293, 11820, 2228, 13989, 1557, 751, 2660, 2526, 24982, 476, 1911, 2852, 3594, 593, 1373, 1010, 13732, 10051, 518, 8468, 1033, 7288, 948, 593, 1818, 513, 5098, 3039, 17839, 564, 26759, 8161, 943, 335, 269, 1656, 5828, 519, 25010, 936, 543, 936, 896, 1010, 4837, 269, 1879, 267, 855, 849, 267, 4487, 4567, 936, 337, 1938, 1312, 6913, 543, 607, 8282, 4567, 269, 1261, 13603, 621, 782, 547, 4773, 269, 1656, 1287, 646, 1767, 972, 7902, 547, 581, 1945, 519, 2339, 609, 519, 4552, 9594, 269, 1261, 711, 1152, 1281, 711, 8007, 610, 9684, 1200, 10756, 13625, 593, 12477, 538, 519, 4108, 17072, 454, 16240, 606, 7291, 1522, 3100, 7294, 269, 1809, 1565, 875, 267, 952, 596, 3668, 1995, 543, 991, 1489, 547, 2347, 2178, 3594, 10503, 513, 1268, 610, 513, 1747, 269, 7427, 713, 2656, 5850, 543, 2638, 824, 4930, 593, 938, 5816, 269, 1684, 596, 991, 513, 1870, 1544, 585, 9520, 269, 1403, 596, 1223, 1118, 2242, 538, 707, 1153, 12899, 3336, 1018, 1131, 789, 269, 2353, 1053, 15861, 547, 519, 30771, 539, 9577, 15482, 589, 5060, 18416, 5358, 1590, 581, 2111, 547, 2743, 519, 1739, 4170, 10756, 16240, 538, 519, 2598, 4184, 1149, 281, 2296, 910, 6651, 454, 4517, 3730, 950, 3168, 693, 1114, 2081, 547, 2328, 827, 513, 1888, 269, 634, 521, 644, 6652, 267, 1058, 5104, 32596, 581, 6836, 607, 4079, 10388, 1557, 9701, 5104, 32596, 4744, 1068, 10620, 984, 6836, 607, 4079, 10388, 1557, 1557, 9631, 737, 341, 5407, 1775, 1033, 15645, 928, 1024, 333, 19830, 644, 2545, 11986, 695, 328, 802, 3873, 1557, 8683, 807, 24064, 690, 2784, 990, 18624, 1382, 1957, 512, 1663, 23504, 1557, 11049, 519, 3791, 543, 3803, 269, 634, 8772, 1931, 540, 9699, 2486, 269, 27814, 267, 1272, 5079, 543, 5759, 267, 6913, 4567, 9356, 3283, 3646, 267, 1082, 1413, 547, 1383, 12591, 607, 513, 3730, 1259, 540, 5355, 2296, 1603, 1983, 1317, 621, 568, 3728, 269, 21518, 5116, 693, 519, 5377, 538, 22634, 15796, 269, 14168, 267, 855, 689, 519, 4052, 1448, 540, 2070, 269, 25042, 1613, 2889, 12803, 579, 2852, 1557, 1603, 4388, 7044, 23407, 4224, 340, 17304, 8297, 1721, 636, 8161, 943, 335, 907 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 609, 2027, 544, 10415, 269, 634, 5106, 568, 5340, 538, 1079, 6106, 563, 1103, 713, 2013, 267, 519, 8728, 540, 519, 8880, 28890, 532, 616, 25649, 1524, 543, 20399, 1996, 519, 5066, 1570, 563, 1103, 1840, 547, 32072, 1570, 267, 789, 946, 281, 3353, 517, 1731, 565, 267, 853, 2131, 5979, 714, 565, 267, 11676, 924, 802, 543, 1866, 563, 1607, 1570, 740, 12742, 1134, 547, 519, 3490, 267, 568, 1875, 22286, 30100, 543, 14463, 269, 634, 2627, 568, 15774, 950, 1031, 269, 1879, 3257, 960, 609, 707, 1378, 3946, 267, 585, 1383, 267, 4432, 770, 641, 1794, 568, 5078, 269, 898, 568, 849, 4294, 538, 1079, 25151, 609, 513, 16945, 610, 11453, 267, 519, 2627, 1590, 581, 1863, 689, 7452, 543, 2215, 539, 1354, 3498, 563, 1607, 1826, 540, 13471, 2115, 4027, 689, 5007, 5054, 269, 1280, 713, 267, 519, 5748, 568, 4988, 609, 2520, 1774, 868, 3796, 610, 513, 2604, 3774, 568, 9280, 563, 2005, 568, 3362, 543, 3533, 4294, 609, 513, 2027, 10936, 267, 543, 1281, 711, 2154, 2627, 7041, 267, 855, 2115, 547, 581, 18674, 609, 2520, 1774, 868, 850, 1570, 267, 799, 849, 15824, 519, 1599, 540, 4027, 585, 621, 269, 901, 1826, 540, 13471, 568, 1031, 585, 13210, 540, 1950, 3337, 454, 2005, 568, 1500, 1210, 2326, 602, 23309, 883, 519, 2497, 540, 6405, 543, 16358, 1125, 3330, 563, 1607, 11151, 1216, 689, 10024, 519, 6405, 543, 11151, 14809, 563, 1607, 1826, 2882, 6755, 564, 1258, 543, 13985, 520, 1258, 268, 277, 269, 1358, 1419, 1184, 519, 6418, 7252, 540, 519, 5748, 610, 25810, 563, 303, 523, 564, 7992, 28890, 532, 568, 4294, 547, 840, 2173, 334, 626, 2989, 543, 7452, 6954, 6405, 538, 1896, 6106, 269, 2991, 621, 1743, 625, 267, 519, 9018, 4670, 568, 6569, 563, 2690, 10072, 621, 568, 849, 2009, 547, 946, 2027, 29147, 30012, 609, 7509, 15033, 3334, 281, 28372, 544, 10415, 610, 8652, 8410, 4740, 269, 2991, 519, 4494, 814, 12015, 267, 621, 568, 1271, 547, 2149, 621, 609, 513, 10036, 9376, 543, 1394, 15640, 563, 2690, 713, 1505, 267, 18761, 31354, 1319, 338, 616, 1031, 269, 1358, 616, 6378, 609, 606, 16937, 593, 519, 5701, 5748, 609, 9419, 1564, 269, 3973, 513, 2604, 6405, 3774, 568, 2813, 7404, 267, 799, 1281, 711, 1450, 873, 547, 2220, 749, 563, 32046, 538, 1931, 547, 1832, 2604, 1216, 856, 540, 519, 5748, 269, 589, 29503, 568, 25653, 2282, 519, 5748, 269, 634, 5377, 568, 4988, 609, 18574, 543, 15155, 4364, 609, 10036, 538, 1896, 6106, 269, 634, 6967, 2230, 568, 4988, 609, 18574, 610, 10036, 267, 543, 513, 9420, 1858, 568, 2813, 593, 1283, 563, 12850, 16513, 532, 585, 513, 8486, 609, 6821, 476, 3445, 11019, 563, 2252, 519, 5748, 568, 25517, 2673, 547, 519, 6821, 540, 519, 8486, 267, 1287, 519, 8486, 568, 1500, 609, 519, 6821, 693, 606, 5086, 540, 476, 3445, 11019, 267, 2604, 6821, 616, 25517, 2673, 547, 922, 6821, 267, 543, 28890, 532, 1570, 568, 562, 9229, 547, 873, 269, 901, 2497, 568, 1572, 968, 331, 739, 1106, 1740, 892, 543, 519, 2404, 15699, 568, 5116, 538, 621, 543, 519, 5748, 568, 23953, 269, 634, 1106, 1740, 3788, 538, 519, 2666, 563, 22746, 13471, 568, 9788, 593, 519, 3490, 269, 634, 2627, 540, 519, 3490, 568, 1377, 539, 267, 12015, 543, 5701, 609, 3787, 6058, 748, 544, 2880, 563, 10190, 1079, 6106, 540, 32072, 1570, 616, 9788, 269, 901, 865, 10777, 6024, 575, 21488, 1590, 979, 998, 519, 3003, 11098, 540, 519, 3774, 563, 11900, 1637, 540, 18061, 13210, 568, 2944, 2687, 547, 519, 1989, 650, 720, 269, 621, 568, 3592, 7543, 547, 28890, 22225, 610, 25985, 267, 4061, 789, 1590, 581, 1500, 540, 7509, 15033, 6405, 454, 763, 5748, 540, 11308, 25985, 1590, 581, 5249, 856, 609, 606, 4550, 2275, 528, 12509, 3070, 563, 4263, 519, 1482, 942, 267, 621, 568, 711, 19624, 547, 4163, 856, 3800, 547, 2539, 519, 1377, 540, 3037, 1216, 267, 585, 1383, 267, 8963, 1137, 267, 1317, 11308, 25985, 798, 711, 4232, 1152, 952, 789, 616, 538, 1216, 563, 8448, 3772, 267, 972, 568, 513, 1390, 1981, 540, 4227, 741, 3028, 1272, 563, 26015, 1315, 726, 12764, 28890, 532, 14014, 519, 6821, 689, 13247, 269, 2690, 713, 267, 519, 726, 12764, 568, 20898, 609, 513, 1216, 3146, 335, 749, 550, 1570, 267, 971, 607, 513, 1216, 3146, 335, 749, 550, 22739, 563, 2690, 513, 2777, 609, 513, 25810, 267, 621, 568, 2556, 547, 723, 513, 28890, 9420, 1858, 267, 799, 786, 2569, 519, 2095, 540, 2627, 1216, 547, 519, 25810, 6821, 563, 12850, 16513, 532, 538, 1079, 6106, 540, 18202, 3787, 18210, 1570, 568, 5140, 585, 28890, 532, 519, 25810, 6989, 563, 26015, 618, 6821, 616, 9268, 2687, 547, 519, 1482, 6240, 607, 14816, 13210, 269, 634, 1657, 17393, 8282, 6405, 1319, 338, 28890, 532, 568, 849, 5078, 585, 25810, 13471, 563, 2171, 723, 4988, 519, 1034, 1455, 2409, 540, 10072, 269, 1809, 952, 596, 1616, 547, 798, 782, 519, 960, 3054, 267, 3314, 602, 519, 1292, 3364, 568, 547, 3442, 519, 1318, 2326, 543, 1246, 519, 2029, 269, 769, 713, 2013, 267, 519, 5748, 786, 2063, 513, 1279, 942, 543, 972, 786, 581, 1100, 991, 585, 14427, 18203, 563, 16829, 1635, 281, 4518, 13910, 1923, 4962, 267, 8734, 476, 1708, 271, 454, 16829, 1635, 281, 4518, 13910, 1923, 1321, 267, 8734, 476, 1708, 271, 454, 16829, 1635, 281, 4518, 13910, 1923, 1321, 267, 8734, 476, 1708, 271, 454, 16829, 1635, 281, 4518, 13910, 1923, 1724, 267, 8734, 476, 1708, 271, 454, 16829, 1635, 281, 4518, 13910, 1923, 6349, 267, 8734, 476, 1708, 271, 0, 12850, 21052, 666, 2014, 2042, 585, 1082, 4853, 2504, 3157, 269, 1403, 596, 1810, 1406, 723, 513, 1216, 21352, 518, 267, 2182, 1216, 3123, 561, 1307, 7051, 12074, 267, 24571, 3022, 12992, 543, 267, 538, 519, 10782, 2013, 267, 666, 1256, 1291, 547, 4625, 17808, 12992, 269, 589, 1216, 21352, 518, 17838, 2182, 1216, 883, 2571, 1216, 454, 763, 1184, 602, 3217, 1747, 538, 513, 1216, 21352, 518, 5161, 5097, 540, 27300, 524, 725, 267, 1775, 4318, 269, 7513, 12274, 543, 13101, 12274, 1107, 799, 616, 3743, 585, 1216, 21052, 1107, 609, 9770, 12274, 1210, 524, 566, 5385, 759, 1231, 269, 589, 5100, 17120, 21560, 519, 4110, 543, 12557, 540, 1216, 2126, 563, 2414, 2490, 2182, 1216, 883, 2571, 1216, 267, 2037, 341, 10098, 293, 3201, 298, 1216, 21352, 619, 946, 513, 9244, 15755, 524, 566, 9401, 9734, 538, 9770, 1106, 269, 901, 524, 566, 9401, 9734, 568, 16041, 609, 9770, 12274, 543, 15377, 891, 609, 606, 6697, 2179, 540, 12274, 540, 519, 21052, 3334, 7513, 543, 13101, 269, 5221, 835, 6070, 568, 8806, 22121, 585, 1776, 1282, 713, 1184, 267, 713, 568, 849, 5219, 547, 607, 513, 9243, 9401, 9734, 269, 1280, 519, 3483, 540, 20344, 267, 519, 1216, 21352, 532, 1184, 666, 849, 581, 20328, 676, 3246, 519, 9357, 9401, 9734, 609, 606, 4430, 540, 9770, 12274, 269, 590, 18260, 29649, 3070, 1107, 1419, 538, 519, 1106, 540, 6070, 14342, 1107, 568, 1031, 585, 519, 20344, 1184, 563, 29909, 1169, 5823, 540, 2872, 3340, 2571, 1216, 607, 513, 32563, 585, 1184, 1216, 267, 9023, 1216, 267, 32092, 532, 610, 11067, 1216, 269, 2037, 341, 10098, 293, 3201, 298, 1216, 21352, 619, 610, 1216, 21352, 532, 4559, 948, 547, 3927, 543, 28761, 4308, 609, 2182, 1216, 269, 4826, 21352, 532, 568, 3226, 19624, 950, 972, 616, 1164, 7569, 593, 2030, 8244, 543, 950, 2571, 1216, 540, 513, 3989, 267, 10063, 24862, 2298, 568, 2838, 267, 543, 568, 1419, 606, 1898, 5910, 13015, 1900, 585, 19654, 3157, 971, 607, 9258, 23015, 2670, 563, 6701, 596, 5461, 538, 9140, 513, 1216, 21352, 518, 689, 835, 540, 519, 1034, 4810, 9755, 538, 5125, 286, 2037, 341, 10098, 293, 3201, 298, 2488, 596, 609, 5796, 689, 4966, 945, 1174, 707, 1808, 3156, 3330, 856, 269, 12315, 721, 513, 1289, 267, 649, 2461, 1934, 585, 596, 269, 0, 278, 269, 476, 273, 24727, 543, 31950, 926, 657, 585, 20622, 1963, 267, 5081, 13926, 543, 6820, 12694, 454, 23087, 1315, 17593, 912, 29128, 476, 13078, 271, 5125, 1223, 705, 622, 922, 23435, 294, 5434, 676, 476, 1911, 260, 543, 2539, 922, 6151, 1570, 4616, 630, 305, 10157, 264, 676, 3592, 476, 3583, 10065, 901, 568, 519, 1101, 1353, 5466, 538, 513, 11528, 1935, 2916, 17846, 543, 4199, 4398, 593, 513, 6237, 543, 2518, 4336, 269, 634, 19419, 290, 16604, 24713, 344, 12462, 4910, 1830, 18026, 11202, 1811, 2509, 5682, 5264, 8566, 553, 268, 3026, 583, 337, 1275, 14615, 23607, 3670, 7653, 602, 4766, 2009, 7004, 11444, 2509, 513, 23435, 294, 16250, 23018, 543, 4199, 18026, 5125, 538, 476, 13078, 271, 269, 634, 7653, 1445, 593, 1114, 2157, 540, 20440, 2509, 8236, 23435, 294, 16250, 583, 337, 1275, 630, 16675, 299, 622, 1107, 3500, 5912, 267, 5682, 306, 1575, 3153, 1107, 3728, 5912, 1070, 8476, 1570, 4398, 630, 16675, 9288, 1070, 543, 513, 9962, 6388, 540, 4264, 1272, 3613, 5138, 630, 16675, 16908, 1040, 634, 6388, 543, 4509, 540, 519, 2877, 4066, 2501, 609, 1585, 5348, 25489, 543, 4123, 32187, 269, 1280, 3236, 267, 2810, 4398, 5012, 547, 1447, 1570, 946, 267, 713, 16715, 1648, 7569, 1107, 538, 519, 1482, 942, 2679, 909, 513, 1970, 28003, 1062, 5932, 2810, 3747, 585, 2326, 630, 324, 3052, 269, 7601, 264, 543, 2200, 630, 324, 3052, 269, 2244, 1040, 0, 7021, 519, 1985, 4557, 1153, 2395, 267, 649, 786, 581, 1666, 532, 938, 17402, 593, 1412, 289, 792, 538, 519, 5794, 262, 676, 31409, 2349, 987, 3118, 339, 267, 513, 4414, 16737, 16514, 3883, 269, 1284, 786, 798, 1114, 2238, 1142, 1554, 2679, 909, 547, 938, 1412, 15927, 2328, 262, 593, 13723, 476, 1240, 628, 950, 649, 786, 1427, 749, 519, 1650, 538, 1603, 269, 630, 2171, 786, 1491, 513, 2110, 2736, 593, 13723, 547, 960, 593, 3816, 27320, 4303, 3079, 4700, 2372, 924, 513, 1906, 540, 519, 2238, 616, 3444, 268, 22793, 609, 17323, 563, 1103, 1032, 476, 272, 267, 649, 723, 1453, 693, 1114, 5933, 540, 741, 1565, 269, 1703, 616, 513, 2603, 540, 6340, 543, 6947, 2238, 538, 713, 1770, 602, 782, 519, 1453, 1058, 581, 2111, 547, 723, 513, 979, 693, 609, 519, 1489, 540, 513, 2385, 610, 824, 2937, 269, 1403, 707, 1126, 568, 1869, 693, 519, 4098, 540, 1565, 547, 2328, 267, 798, 711, 2503, 873, 547, 2328, 519, 2898, 1650, 269, 2368, 1453, 949, 1175, 2328, 835, 4845, 609, 1489, 689, 606, 2937, 547, 948, 873, 3280, 856, 519, 1913, 789, 1131, 899, 547, 2328, 610, 1265, 873, 593, 835, 540, 519, 2262, 1319, 338, 563, 2171, 1131, 2648, 547, 1294, 519, 1453, 781, 960, 269, 1411, 666, 6494, 721, 513, 5299, 3842, 519, 1362, 4757, 269, 1284, 786, 4757, 1394, 609, 513, 3210, 269, 0, 3528, 1744, 4275, 1546, 10273, 267, 10361, 540, 3427, 454, 403, 506, 402, 371, 21012, 402, 364, 32679, 403, 498, 25149, 32679, 403, 497, 402, 368, 27783, 507, 13913, 498, 402, 372, 21012, 402, 364, 403, 359, 402, 372, 403, 498, 13913, 494, 25149, 402, 373, 29645, 402, 372, 403, 498, 13913, 499, 402, 364, 403, 358, 402, 368, 403, 480, 403, 508, 402, 364, 403, 501, 402, 372, 403, 498, 13913, 499, 402, 364, 403, 358, 402, 372, 403, 480, 403, 358, 403, 479, 25149, 402, 373, 403, 509, 13913, 499, 402, 368, 27783, 356, 402, 371, 29645, 454, 763, 7642, 10150, 1769, 543, 19914, 1145, 267, 8788, 543, 8956, 454, 1607, 14235, 538, 23729, 650, 520, 6480, 615, 568, 519, 7583, 332, 1588, 540, 519, 1650, 540, 8830, 574, 543, 2882, 2185, 1114, 1913, 585, 519, 17636, 540, 519, 6014, 1004, 281, 1769, 267, 19914, 1145, 267, 7772, 267, 543, 8956, 269, 9050, 1913, 547, 4766, 741, 1533, 2390, 741, 20778, 689, 8621, 534, 779, 9409, 10325, 269, 4208, 798, 519, 5830, 540, 519, 19251, 650, 1695, 946, 2185, 1913, 950, 1152, 835, 2262, 1131, 581, 6190, 286, 19410, 2209, 607, 9216, 1114, 10096, 547, 1142, 540, 891, 2474, 267, 971, 607, 1808, 5378, 345, 341, 582, 602, 519, 6014, 2146, 729, 2111, 547, 29379, 609, 741, 16012, 5191, 689, 3909, 20655, 269, 6271, 7664, 568, 602, 1152, 782, 540, 891, 1913, 1927, 666, 5265, 4766, 519, 3178, 540, 519, 556, 14765, 6005, 1851, 519, 1004, 269, 6271, 5133, 568, 602, 972, 616, 1082, 5686, 540, 8788, 267, 1142, 835, 513, 2370, 1114, 689, 1866 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 13575, 267, 18402, 543, 3124, 2209, 1031, 585, 2842, 17081, 18402, 616, 3989, 676, 875, 789, 1118, 5352, 741, 11275, 1143, 267, 2901, 30402, 1725, 1115, 610, 8628, 22197, 563, 4415, 938, 476, 278, 547, 476, 1556, 16405, 3631, 267, 596, 3513, 1205, 1379, 5108, 538, 1970, 2842, 2127, 269, 3204, 687, 543, 6753, 609, 1164, 2842, 11250, 616, 3501, 585, 476, 274, 547, 476, 276, 16405, 19383, 269, 3143, 2339, 707, 4087, 267, 649, 723, 519, 4998, 2842, 17081, 543, 16405, 1305, 4999, 585, 596, 256, 18461, 1863, 547, 3346, 835, 540, 938, 1082, 6455, 27498, 610, 23390, 547, 1205, 596, 3323, 267, 547, 2087, 606, 4540, 14764, 267, 610, 547, 2417, 707, 1788, 563, 763, 11566, 5354, 540, 5201, 3812, 5001, 568, 1031, 5612, 267, 2094, 4859, 568, 2356, 811, 7199, 543, 1317, 2757, 18402, 666, 3082, 547, 3747, 269, 1717, 1312, 3859, 1379, 543, 2842, 1379, 616, 4756, 7791, 1648, 267, 2495, 602, 782, 2139, 3977, 1590, 581, 3144, 8164, 621, 568, 2139, 676, 3001, 998, 6771, 3515, 547, 1141, 621, 666, 581, 1031, 1631, 269, 4595, 3859, 1648, 568, 711, 2139, 693, 3781, 267, 13936, 922, 1648, 568, 5732, 606, 1271, 3390, 3226, 538, 1055, 3766, 5090, 543, 585, 2104, 476, 1911, 260, 7791, 1648, 7653, 547, 723, 6024, 5201, 8244, 563, 763, 2344, 585, 7791, 1648, 4066, 814, 4797, 547, 1332, 269, 8693, 1689, 4145, 543, 2810, 538, 3039, 6009, 267, 13745, 609, 1164, 3282, 5777, 267, 8445, 3282, 267, 3282, 10617, 267, 3282, 29908, 267, 13319, 540, 3167, 6472, 543, 7791, 5201, 267, 6046, 12469, 543, 2810, 2229, 1489, 267, 616, 6117, 2810, 7791, 1648, 9086, 267, 15314, 543, 5010, 1436, 269, 1715, 2229, 7836, 267, 7939, 543, 4507, 5280, 519, 2872, 4365, 519, 476, 1220, 280, 2804, 6433, 1732, 982, 1082, 824, 9922, 563, 30262, 1168, 762, 1648, 2200, 543, 1713, 3255, 585, 1648, 4398, 2291, 936, 2647, 10923, 2127, 267, 538, 4334, 547, 824, 1648, 2959, 267, 799, 616, 13671, 538, 513, 3908, 1297, 540, 2477, 269, 21826, 17293, 540, 7791, 1648, 543, 1648, 4398, 267, 543, 6639, 29159, 540, 1648, 2959, 267, 1131, 1267, 538, 1713, 1648, 3354, 543, 2804, 2640, 269, 898, 1131, 849, 2569, 2825, 5533, 971, 607, 2011, 5533, 3361, 676, 8781, 540, 8093, 10173, 543, 2087, 1857, 1072, 267, 2569, 16349, 6180, 8017, 1813, 547, 5533, 543, 4688, 2404, 1072, 3790, 602, 2179, 547, 1896, 4627, 5479, 9489, 12422, 1152, 538, 519, 2136, 2276, 269, 24997, 1648, 2959, 267, 602, 17589, 741, 1648, 689, 519, 3141, 267, 2901, 2047, 610, 18549, 267, 971, 607, 8652, 543, 2842, 267, 616, 4397, 547, 581, 5827, 540, 23478, 8103, 1648, 585, 3592, 1776, 476, 272, 5479, 1296, 267, 693, 799, 1448, 519, 10567, 2333, 538, 3002, 689, 519, 3141, 568, 4397, 547, 1118, 519, 2627, 540, 519, 3618, 1932, 3905, 585, 5277, 1216, 547, 2291, 563, 1432, 568, 513, 1507, 2842, 17081, 286, 32506, 896, 267, 2161, 267, 476, 1015, 7397, 23301, 8006, 630, 1789, 3952, 264, 568, 1134, 1369, 519, 968, 20791, 2842, 892, 7121, 269, 2334, 1568, 856, 547, 2842, 18434, 609, 513, 15951, 1379, 909, 547, 1472, 476, 736, 737, 310, 630, 520, 476, 1556, 544, 4882, 267, 610, 476, 1839, 18890, 1040, 1280, 3677, 2842, 18434, 519, 9755, 616, 2356, 513, 2370, 811, 9237, 267, 543, 811, 2724, 568, 2139, 547, 798, 513, 1434, 3135, 2079, 269, 634, 1344, 538, 713, 2376, 568, 13598, 281, 634, 1482, 10039, 547, 782, 519, 824, 12478, 543, 3631, 267, 581, 789, 540, 519, 22743, 310, 307, 630, 295, 528, 714, 7267, 31196, 6489, 5695, 321, 710, 264, 610, 22622, 310, 307, 630, 309, 1068, 673, 31196, 6489, 5695, 321, 710, 264, 30373, 563, 16675, 6052, 29651, 779, 12814, 5843, 28186, 607, 513, 6796, 630, 300, 30962, 264, 10189, 568, 513, 6531, 1759, 267, 20478, 3028, 7175, 3791, 5428, 9367, 547, 8415, 5682, 289, 639, 10378, 543, 5682, 6052, 29651, 6791, 538, 14104, 267, 2679, 543, 11766, 532, 2890, 23950, 1749, 269, 32087, 538, 519, 8575, 320, 306, 10189, 568, 519, 2890, 28186, 2645, 564, 16922, 540, 3301, 267, 1374, 543, 4702, 15004, 267, 3937, 7840, 267, 4070, 2409, 267, 4238, 543, 5826, 1489, 267, 543, 2883, 7405, 782, 9447, 689, 513, 18799, 1604, 563, 10932, 568, 849, 17298, 538, 713, 2361, 540, 5841, 15591, 269, 898, 3322, 519, 946, 540, 29113, 547, 4558, 3859, 13590, 1648, 538, 3114, 7554, 267, 676, 24590, 1216, 547, 3132, 7250, 4492, 610, 1287, 9256, 609, 3327, 8166, 547, 1118, 18465, 565, 2096, 619, 971, 607, 8715, 12935, 269, 3509, 1804, 3084, 543, 6237, 1382, 3785, 593, 5841, 15591, 616, 1631, 3843, 547, 1020, 2553, 10128, 4824, 1769, 7001, 267, 7061, 25843, 2409, 540, 6475, 4483, 543, 10464, 29512, 2326, 602, 7500, 896, 513, 3099, 540, 11626, 2175, 269, 18947, 3173, 538, 519, 2361, 723, 1500, 519, 1857, 3609, 2013, 585, 513, 6820, 5741, 593, 14464, 16071, 11853, 547, 2232, 2565, 1648, 3354, 543, 2825, 6940, 2152, 563, 763, 1034, 1713, 7496, 547, 519, 7839, 6388, 540, 1804, 8397, 7791, 1648, 543, 1970, 3327, 1648, 2994, 616, 5097, 2797, 543, 711, 6639, 269, 4340, 547, 519, 476, 1001, 274, 5403, 12539, 11202, 1811, 1867, 267, 799, 12649, 1082, 3486, 2090, 267, 519, 1883, 4155, 4565, 4169, 616, 281, 2916, 1689, 24677, 267, 519, 8093, 10173, 25211, 267, 2797, 538, 9146, 267, 5667, 20980, 1648, 4616, 267, 22573, 1648, 5989, 267, 543, 2883, 10148, 563, 28959, 15450, 543, 26365, 1648, 4859, 616, 5049, 540, 4066, 602, 666, 5512, 519, 13345, 540, 7791, 1648, 2959, 602, 1131, 6382, 581, 538, 17739, 1043, 1813, 547, 513, 2837, 602, 568, 1932, 1970, 585, 13345, 610, 513, 942, 18848, 1063, 950, 519, 1648, 568, 2139, 543, 950, 621, 568, 2877, 269, 2755, 7393, 519, 2837, 540, 2139, 7791, 8143, 1648, 267, 3002, 15450, 723, 519, 3606, 3959, 540, 16107, 5122, 1379, 630, 528, 538, 930, 2665, 7344, 610, 8143, 1379, 264, 676, 1210, 621, 547, 1349, 3606, 1648, 689, 513, 1970, 2298, 2707, 630, 7945, 607, 26869, 267, 10720, 1216, 267, 519, 2666, 267, 519, 2011, 267, 610, 3653, 3002, 689, 513, 1184, 1916, 6097, 547, 513, 476, 1001, 272, 16879, 676, 519, 4139, 6052, 10837, 267, 3859, 1379, 18402, 949, 3132, 1034, 540, 519, 1158, 781, 5201, 1369, 476, 2004, 1296, 267, 4227, 519, 5434, 540, 8511, 9362, 602, 2800, 519, 1604, 269, 595, 539, 878, 5845, 756, 1068, 267, 9972, 25566, 538, 519, 7791, 1648, 6498, 693, 519, 594, 12788, 1767, 281, 834, 21900, 19661, 545, 543, 3859, 268, 31516, 2371, 949, 2743, 1034, 540, 519, 1158, 781, 3747, 585, 5201, 676, 476, 18684, 271, 1107, 543, 3368, 540, 782, 1648, 2115, 1107, 609, 2842, 267, 19558, 1077, 543, 13947, 2371, 23478, 1454, 540, 519, 6967, 5108, 2668, 834, 21900, 19661, 545, 543, 13671, 3859, 1379, 1927, 666, 1831, 519, 2101, 2707, 540, 5201, 2580, 5845, 756, 1068, 1767, 563, 16675, 3887, 568, 513, 17319, 13995, 1982, 585, 7791, 5201, 2472, 269, 634, 5682, 3887, 1982, 20964, 7082, 4027, 543, 2825, 4441, 585, 5201, 2472, 267, 543, 2357, 5809, 602, 891, 2472, 2743, 519, 4441, 269, 634, 5682, 3887, 20446, 5909, 5809, 602, 693, 2547, 3368, 519, 1379, 13859, 568, 689, 7791, 2959, 269, 3509, 2472, 786, 4163, 519, 5682, 3887, 20446, 267, 543, 519, 1655, 1259, 547, 1265, 519, 1034, 13476, 6213, 7426, 568, 676, 3257, 930, 6476, 1382, 269, 1677, 1265, 856, 799, 5682, 3887, 14468, 2472, 616, 2139, 538, 707, 1533, 267, 3643, 5682, 3887, 781, 3167, 5079, 2985, 269, 5999, 827, 1880, 7426, 666, 581, 9859, 547, 519, 4741, 585, 8249, 10298, 267, 799, 14721, 8651, 519, 5682, 3887, 1982, 267, 693, 630, 25870, 264, 476, 6321, 272, 268, 13975, 271, 563, 305, 684, 6361, 7308, 268, 18182, 32394, 640, 2371, 17589, 1648, 689, 8933, 1510, 519, 5137, 540, 513, 1804, 13111, 269, 634, 1216, 568, 3335, 24829, 2059, 519, 2427, 540, 519, 5757, 14860, 630, 6748, 9055, 267, 12992, 543, 5924, 25310, 264, 2394, 621, 568, 1164, 1657, 519, 14860, 6989, 267, 1141, 1575, 517, 621, 666, 4847, 547, 2887, 998, 513, 4050, 18450, 547, 5397, 513, 17081, 269, 901, 2511, 540, 5108, 949, 1869, 3132, 513, 1804, 2179, 540, 5201, 267, 971, 607, 519, 12751, 9478, 12456, 593, 519, 12052, 5757, 538, 519, 2136, 2276, 563, 3519, 14846, 32394, 640, 1568, 1360, 1134, 538, 14966, 609, 3859, 1379, 267, 1216, 666, 581, 4371, 1394, 610, 5950, 689, 513, 13111, 3297, 513, 2481, 607, 2838, 269, 7316, 513, 5078, 5757, 568, 711, 2139, 267, 29253, 3613, 4392, 32394, 640, 3096, 3859, 1379, 547, 6802, 1216, 547, 513, 1164, 13111, 593, 13566, 2395, 1287, 519, 1648, 568, 16626, 693, 3781, 543, 538, 3983, 4365, 676, 16089, 1216, 3842, 513, 32394, 2030, 547, 513, 1970, 13111, 1141, 519, 4783, 666, 2253, 1586, 269, 1717, 267, 713, 4783, 666, 6336, 476, 736, 260, 540, 519, 1648, 547, 5180, 7552, 13546, 1553, 13853, 267, 713, 7132, 519, 4070, 3790, 1039, 547, 519, 13258, 540, 7598, 1164, 2157, 540, 3859, 1379, 563, 763, 4139, 6052, 10837, 15810, 538, 476, 1001, 275, 602, 896, 922, 834, 14683, 5710, 1963, 257, 9183, 267, 676, 476, 13078, 271, 267, 3859, 22425, 923, 543, 13671, 3859, 1379, 1131, 3565, 827, 476, 1626, 543, 476, 1556, 2600, 267, 6606, 267, 540, 519, 5001, 5201, 4616, 267, 543, 3859, 1131, 581, 519, 1158, 781, 4102, 2707, 540, 5201, 269, 4107, 3859, 19698, 1131, 581, 538, 3624, 543, 3127, 269, 769, 476, 1001, 278, 267, 3859, 1379, 3177, 476, 272, 269, 278, 260, 540, 2698, 5001, 5201, 2504, 267, 3395, 693, 476, 3374, 260, 829, 3045, 636, 269, 0, 2304, 1557, 19875, 568, 513, 1259, 3610, 2708, 1053, 262, 1557, 1603, 676, 1210, 1808, 7355, 547, 3446, 10467, 1557, 6299, 7879, 4688, 3610, 942, 1317, 782, 540, 519, 7355, 616, 7396, 543, 6896, 883, 835, 10375, 1957, 269, 11676, 7879, 1058, 581, 1759, 593, 513, 16994, 1620, 540, 7005, 15226, 32705, 2157, 713, 1557, 1603, 19875, 2488, 513, 18176, 1062, 799, 568, 811, 3617, 547, 7005, 6267, 982, 3044, 6299, 7879, 269, 594, 13041, 878, 562, 275, 12711, 11025, 281, 946, 713, 19875, 585, 21249, 2875, 6114, 602, 616, 851, 540, 513, 1449, 610, 7688, 602, 1331, 824, 2010, 540, 2055, 607, 1134, 666, 581, 16419, 585, 1022, 1641, 1863, 19875, 32063, 543, 4879, 2645, 563, 8139, 1331, 1557, 543, 2110, 268, 24987, 2055, 1557, 543, 2110, 268, 24987, 3688, 267, 3006, 5219, 547, 607, 9112, 268, 4928, 4255, 281, 1603, 543, 18176, 1557, 543, 2110, 268, 24987, 2055, 676, 28642, 513, 530, 3326, 871, 3817, 835, 31644, 540, 6859, 538, 519, 1449, 29685, 952, 267, 585, 1383, 267, 1053, 616, 4280, 547, 4194, 513, 3126, 540, 1644, 269, 4828, 19875, 8846, 281, 707, 1557, 786, 581, 28439, 1759, 593, 713, 19875, 18867, 267, 946, 713, 19875, 607, 513, 3391, 950, 1603, 707, 1557, 543, 2638, 621, 1586, 1354, 596, 10505, 707, 1557, 7592, 476, 275, 476, 274, 476, 273, 476, 272, 1445, 1299, 3877, 972, 568, 835, 2312, 267, 1134, 25700, 1888, 1292, 2093, 616, 2312, 543, 269, 1323, 1557, 19875, 568, 513, 1259, 3610, 2708, 1053, 262, 1557, 1603, 676, 1210, 1808, 7355, 547, 3446, 10467, 1557, 6299, 7879, 4688, 3610, 942, 1317, 782, 540, 519, 7355, 568, 7396, 543, 6896, 883, 835, 10375, 1957, 269, 476, 272, 3732, 2110, 2626, 6114, 32275, 9782, 2110, 1557, 2055, 19875, 3732, 2110, 2626, 1449, 2055, 1299, 4267, 2110, 1557, 2055, 593, 513, 1770, 981, 538, 1250, 1362, 616, 3335, 21249, 593, 513, 4336, 689, 476, 271, 268, 276, 563, 25721, 1148, 1686, 1449, 1557, 19875, 1863, 268, 24978, 2243, 630, 26211, 1557, 264, 18176, 4808, 4305, 1565, 6662, 2798, 8308, 14439, 519, 960, 540, 1148, 269, 594, 723, 6404, 4606, 827, 6299, 7879, 593, 835, 1688, 267, 789, 1450, 803, 547, 1683, 1808, 267, 24669, 267, 12905, 267, 543, 29829, 5955, 593, 519, 824, 1688, 267, 789, 666, 3100, 2864, 791, 5966, 543, 4411, 281, 1775, 4413, 519, 4116, 781, 2854, 267, 2123, 8292, 538, 519, 19114, 540, 1250, 1603, 543, 693, 519, 1439, 540, 519, 7084, 269, 5675, 6299, 7879, 849, 2285, 3610, 606, 6662, 1305, 540, 4441, 676, 799, 547, 6218, 3594, 543, 824, 3029, 540, 1603, 538, 1249, 267, 513, 19875, 568, 4998, 585, 21249, 1603, 267, 607, 621, 2488, 606, 22265, 2268, 547, 4831, 25270, 519, 1641, 2032 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 987, 318, 5976, 318, 1440, 1307, 264, 910, 476, 1789, 2187, 1038, 2749, 815, 562, 12639, 987, 318, 5976, 318, 1440, 1307, 27709, 2639, 1038, 952, 6305, 6831, 885, 314, 322, 640, 316, 1299, 16733, 8161, 1341, 476, 272, 264, 4939, 476, 1015, 11203, 476, 271, 2187, 2018, 585, 1775, 538, 2039, 8987, 272, 267, 476, 274, 2187, 3546, 31575, 24786, 815, 562, 12639, 987, 318, 5976, 318, 1440, 1307, 6983, 4878, 4590, 3546, 23396, 16229, 815, 630, 842, 9230, 8161, 1341, 476, 272, 264, 1315, 476, 1015, 264, 1341, 1775, 264, 2608, 476, 1015, 910, 476, 272, 454, 3546, 31575, 24786, 314, 1873, 777, 16229, 3910, 31575, 24786, 27709, 316, 815, 31575, 24786, 27709, 3910, 31575, 24786, 314, 1873, 777, 16229, 2639, 3546, 952, 2698, 5091, 2700, 29254, 6831, 885, 267, 31575, 24786, 314, 2381, 263, 1873, 777, 16229, 267, 4994, 264, 910, 476, 272, 281, 3193, 263, 1873, 777, 16229, 267, 4994, 264, 1341, 476, 273, 16689, 14030, 476, 6305, 6831, 885, 264, 2999, 2698, 5091, 2700, 29254, 6831, 885, 2676, 14030, 14030, 562, 12639, 987, 318, 5976, 318, 1440, 1307, 314, 2381, 263, 1873, 777, 16229, 267, 4994, 264, 20620, 14030, 14030, 7386, 476, 272, 281, 3193, 263, 1873, 777, 16229, 267, 4994, 264, 1341, 476, 273, 16689, 14030, 14030, 6305, 6831, 885, 2187, 7386, 562, 12639, 987, 318, 5976, 318, 1440, 1307, 815, 31575, 24786, 6983, 4878, 4590, 7386, 2736, 454, 825, 2132, 562, 12639, 987, 318, 5976, 318, 1440, 1307, 7531, 3698, 1904, 273, 29254, 6831, 640, 267, 2619, 267, 16866, 267, 3970, 267, 6305, 6831, 885, 2187, 825, 23396, 815, 8771, 454, 825, 1655, 24786, 815, 2619, 454, 825, 1655, 318, 574, 2889, 22777, 815, 476, 271, 454, 825, 585, 1775, 538, 2039, 263, 272, 267, 630, 6352, 9638, 987, 264, 910, 476, 272, 15892, 1038, 585, 795, 538, 2039, 9217, 1341, 476, 273, 267, 630, 6352, 9638, 987, 264, 910, 476, 272, 15892, 2018, 1376, 815, 2582, 5091, 2700, 29254, 6831, 640, 267, 2619, 267, 1775, 910, 476, 272, 267, 6305, 6831, 885, 264, 1341, 2582, 5091, 2700, 29254, 6831, 640, 267, 2619, 267, 795, 910, 476, 272, 2676, 14030, 14030, 4449, 16875, 6305, 6831, 885, 994, 2018, 5697, 24786, 815, 11713, 2018, 5697, 24786, 6834, 2619, 11468, 328, 2639, 2018, 5697, 24786, 6834, 1592, 263, 516, 951, 539, 9638, 987, 5157, 281, 329, 28413, 2018, 5697, 24786, 6834, 2619, 14728, 281, 2639, 2018, 9096, 815, 2582, 5091, 2700, 29254, 6831, 640, 267, 5697, 24786, 267, 1775, 910, 476, 272, 267, 6305, 6831, 885, 264, 1341, 2582, 5091, 2700, 29254, 6831, 640, 2676, 14030, 14030, 4449, 7386, 5697, 24786, 2676, 14030, 14030, 4449, 7386, 795, 910, 476, 272, 267, 6305, 6831, 885, 994, 2018, 6454, 815, 1376, 910, 9096, 454, 2018, 952, 1655, 318, 574, 2889, 22777, 2999, 6454, 912, 3546, 1655, 24786, 815, 5697, 24786, 454, 3546, 1655, 318, 574, 2889, 22777, 815, 6454, 454, 3546, 23396, 815, 6936, 454, 2018, 952, 16866, 543, 23396, 912, 3546, 2736, 454, 1038, 952, 16866, 543, 23396, 912, 2018, 2736, 454, 825, 3970, 815, 3970, 910, 476, 272, 454, 825, 952, 23396, 543, 16733, 3916, 527, 3436, 476, 271, 543, 16866, 264, 610, 711, 16866, 2187, 1038, 2132, 1904, 273, 29254, 6831, 640, 267, 1655, 24786, 267, 16866, 267, 3970, 267, 6305, 6831, 885, 994, 825, 2132, 1655, 24786, 454, 0, 5814, 19523, 692, 3698, 1292, 10031, 453, 258, 418, 352, 478, 418, 509, 354, 417, 495, 377, 10524, 353, 27310, 9463, 480, 12255, 12571, 486, 25622, 26233, 356, 8147, 23946, 370, 420, 377, 361, 29004, 351, 20992, 27882, 352, 419, 350, 362, 32352, 417, 508, 489, 454, 14851, 7003, 3890, 11203, 476, 273, 912, 453, 13537, 3488, 13640, 600, 2678, 18438, 5073, 453, 453, 1410, 527, 4590, 453, 339, 787, 912, 453, 453, 15680, 776, 815, 703, 4433, 903, 27769, 341, 314, 272, 7481, 453, 21955, 28759, 912, 453, 13537, 3488, 13640, 600, 2678, 18438, 5073, 453, 453, 1410, 527, 10797, 453, 258, 19867, 352, 31801, 492, 420, 369, 371, 23523, 479, 30536, 454, 453, 1998, 341, 826, 815, 14057, 910, 476, 12573, 271, 454, 28768, 453, 258, 21550, 373, 29004, 362, 420, 494, 377, 24662, 7511, 31801, 492, 27064, 485, 25060, 374, 25426, 368, 8147, 418, 490, 487, 419, 483, 356, 28098, 18021, 498, 7511, 31801, 492, 27064, 485, 9463, 480, 12255, 18777, 350, 28997, 501, 31801, 492, 27064, 485, 454, 14851, 1130, 341, 826, 10922, 476, 271, 912, 453, 453, 339, 1314, 815, 476, 271, 454, 453, 19197, 1130, 341, 826, 10922, 476, 5611, 271, 912, 453, 453, 339, 1314, 815, 1998, 341, 826, 2608, 476, 271, 269, 6734, 910, 476, 271, 454, 453, 19197, 1130, 341, 826, 10922, 476, 14596, 271, 912, 453, 453, 339, 1314, 815, 1998, 341, 826, 2608, 476, 271, 269, 1015, 910, 476, 10755, 454, 453, 19197, 1130, 341, 826, 10922, 476, 12010, 271, 912, 453, 453, 339, 1314, 815, 1998, 341, 826, 2608, 476, 271, 269, 736, 910, 476, 27898, 454, 453, 19197, 1130, 341, 826, 10922, 476, 12573, 876, 912, 453, 453, 339, 1314, 815, 1998, 341, 826, 2608, 476, 271, 269, 1839, 910, 476, 1911, 276, 454, 453, 19197, 1130, 341, 826, 10922, 476, 20862, 876, 912, 453, 453, 339, 1314, 815, 1998, 341, 826, 2608, 476, 271, 269, 1789, 910, 476, 22550, 276, 454, 453, 19197, 1130, 341, 826, 10922, 476, 8517, 876, 912, 453, 453, 339, 1314, 815, 1998, 341, 826, 2608, 476, 271, 269, 3393, 910, 476, 13670, 4962, 692, 453, 258, 19867, 497, 22287, 364, 14756, 497, 31563, 454, 13537, 3488, 346, 15545, 273, 325, 348, 8339, 8971, 6025, 1314, 264, 9239, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 453, 10852, 4590, 0, 5814, 21635, 607, 1526, 692, 753, 318, 13440, 318, 272, 815, 834, 2791, 666, 1406, 14902, 693, 519, 1482, 24983, 936, 543, 936, 269, 1924, 1946, 616, 596, 2141, 24986, 827, 834, 26444, 2018, 834, 1492, 1482, 1966, 24350, 753, 318, 13440, 318, 273, 815, 834, 763, 13855, 9846, 6854, 12394, 547, 7914, 856, 540, 519, 14495, 1216, 267, 855, 729, 8572, 257, 26444, 2018, 834, 547, 256, 634, 1650, 568, 513, 9114, 4840, 753, 318, 13440, 318, 274, 815, 834, 2691, 14488, 5679, 4169, 593, 707, 7450, 267, 875, 798, 596, 4431, 286, 3657, 596, 513, 15837, 267, 606, 4212, 267, 610, 513, 834, 26444, 2018, 834, 1723, 6332, 21167, 286, 1411, 666, 1406, 14902, 693, 519, 1482, 24983, 936, 543, 936, 269, 1924, 1946, 616, 596, 2141, 24986, 834, 26444, 2018, 834, 12671, 519, 1482, 1966, 12482, 454, 5035, 715, 924, 299, 924, 26329, 24998, 2187, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 20508, 815, 834, 301, 924, 299, 924, 5016, 1038, 1582, 6230, 617, 601, 815, 7183, 454, 1038, 1582, 20179, 1125, 815, 7183, 454, 1038, 1582, 269, 13231, 318, 753, 815, 7183, 692, 825, 1219, 2303, 318, 22529, 525, 4311, 267, 801, 318, 24987, 267, 2203, 16182, 284, 272, 267, 28219, 16182, 284, 272, 17107, 1038, 1582, 20179, 1125, 815, 1526, 20179, 1436, 318, 18196, 10947, 19304, 263, 8681, 16182, 4917, 1038, 1582, 6230, 617, 601, 815, 1526, 6230, 617, 601, 318, 18196, 10947, 19304, 263, 16347, 16182, 4917, 1038, 1582, 269, 13231, 318, 753, 815, 801, 318, 24987, 692, 1038, 6114, 815, 2715, 10926, 1038, 952, 1582, 20179, 1125, 568, 1526, 11053, 310, 302, 318, 306, 8379, 318, 24535, 32707, 9281, 293, 912, 2018, 6114, 815, 1582, 10947, 4671, 6851, 5334, 574, 318, 821, 5091, 858, 4590, 1038, 8640, 1582, 20179, 1125, 568, 1526, 11053, 292, 21815, 2207, 318, 13052, 4932, 12195, 12678, 912, 2018, 6114, 815, 1582, 10947, 318, 974, 12329, 318, 1410, 6374, 1513, 4590, 1038, 8640, 1582, 20179, 1125, 568, 1526, 2529, 307, 11070, 7728, 318, 3198, 14684, 8991, 912, 2018, 6114, 815, 1582, 10947, 318, 13231, 318, 753, 9955, 4590, 1038, 8640, 1582, 20179, 1125, 568, 1526, 8160, 21197, 3633, 318, 3198, 14684, 8991, 912, 2018, 6114, 815, 1582, 10947, 8548, 12089, 318, 753, 9955, 10797, 1038, 2132, 6114, 692, 825, 1219, 1205, 4671, 6851, 5334, 574, 318, 821, 5091, 858, 4311, 2187, 1038, 1948, 570, 7495, 302, 281, 1289, 4143, 2203, 454, 1038, 6114, 815, 13634, 2018, 834, 753, 318, 13440, 318, 272, 9899, 1496, 753, 318, 13440, 318, 272, 267, 1526, 269, 23177, 318, 31159, 14154, 318, 4306, 11070, 7728, 318, 3198, 14684, 2207, 16689, 2018, 834, 753, 318, 13440, 318, 273, 9899, 1496, 753, 318, 13440, 318, 273, 267, 1526, 269, 23177, 318, 31159, 14154, 318, 4306, 11070, 7728, 318, 3198, 14684, 2207, 16689, 2018, 834, 753, 318, 13440, 318, 274, 9899, 1496, 753, 318, 13440, 318, 274, 267, 1526, 269, 23177, 318, 31159, 14154, 318, 15288, 21815, 2207, 318, 13052, 4932, 12195, 2752, 2639, 1038, 7684, 454, 1038, 2132, 6114, 692, 825, 1219, 1205, 318, 974, 12329, 318, 1410, 6374, 1513, 4311, 2187, 1038, 1948, 570, 7495, 302, 281, 1289, 4143, 2203, 454, 1038, 6114, 815, 13634, 2018, 834, 753, 318, 13440, 318, 272, 9899, 1496, 753, 318, 13440, 318, 272, 267, 1526, 269, 23177, 318, 31159, 14154, 318, 4306, 11070, 7728, 318, 3198, 14684, 2207, 16689, 2018, 834, 753, 318, 13440, 318, 273, 9899, 1496, 753, 318, 13440, 318, 273, 267, 1526, 269, 23177, 318, 31159, 14154, 318, 4306, 11070, 7728, 318, 3198, 14684, 2207, 16689, 2018, 834, 753, 318, 13440, 318, 274, 9899, 1496, 753, 318, 13440, 318, 274, 267, 1526, 269, 23177, 318, 31159, 14154, 318, 15288, 21815, 2207, 318, 13052, 4932, 12195, 2752, 2639, 1038, 7684, 454, 1038, 2132, 6114, 692, 825, 1219, 1205, 318, 13231, 318, 753, 9955, 4311, 2187, 1038, 1948, 570, 7495, 302, 281, 1289, 4143, 2203, 454, 1038, 6114, 815, 13634, 2018, 834, 753, 318, 13440, 318, 272, 9899, 1496, 753, 318, 13440, 318, 272, 267, 1526, 269, 23177, 318, 31159, 14154, 318, 4306, 11070, 7728, 318, 3198, 14684, 2207, 16689, 2018, 834, 753, 318, 13440, 318, 273, 9899, 1496, 753, 318, 13440, 318, 273, 267, 1526, 269, 23177, 318, 31159, 14154, 318, 4306, 11070, 7728, 318, 3198, 14684, 2207, 16689, 2018, 834, 753, 318, 13440, 318, 274, 9899, 1496, 753, 318, 13440, 318, 274, 267, 1526, 269, 23177, 318, 31159, 14154, 318, 15288, 21815, 2207, 318, 13052, 4932, 12195, 2752, 2639, 1038, 7684, 454, 1038, 2132, 6114, 692, 825, 1219, 1205, 8548, 12089, 318, 753, 9955, 4311, 2187, 1038, 1948, 570, 7495, 302, 281, 1289, 4143, 2203, 454, 1038, 6114, 815, 13634, 2018, 834, 753, 318, 13440, 318, 272, 9899, 1496, 753, 318, 13440, 318, 272, 267, 1526, 269, 23177, 318, 31159, 14154, 318, 4306, 11070, 7728, 318, 3198, 14684, 2207, 16689, 2018, 834, 753, 318, 13440, 318, 273, 9899, 1496, 753, 318, 13440, 318, 273, 267, 1526, 269, 23177, 318, 31159, 14154, 318, 4306, 11070, 7728, 318, 3198, 14684, 2207, 16689, 2018, 834, 753, 318, 13440, 318, 274, 9899, 1496, 753, 318, 13440, 318, 274, 267, 1526, 269, 23177, 318, 31159, 14154, 318, 15288, 21815, 2207, 318, 13052, 4932, 12195, 2752, 2639, 1038, 7684, 454, 1038, 2132, 6114, 454 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1345, 2187, 1038, 1582, 14714, 815, 29129, 825, 1219, 7903, 4311, 267, 1535, 2187, 1038, 1582, 14714, 6910, 3287, 2020, 825, 1219, 1402, 4311, 267, 1535, 2187, 1038, 952, 630, 6352, 4311, 14714, 264, 3436, 476, 271, 2187, 2018, 1582, 14714, 21014, 10797, 825, 1219, 1283, 4311, 2187, 1038, 952, 7003, 4311, 14714, 264, 2652, 476, 271, 912, 2018, 2132, 7183, 454, 1038, 2132, 1582, 14714, 15631, 272, 6540, 454, 825, 1219, 1205, 299, 523, 4311, 2187, 1038, 2132, 7003, 4311, 14714, 9239, 0, 3269, 3269, 454, 16655, 3065, 3178, 568, 519, 1100, 269, 1993, 9136, 538, 519, 13074, 2619, 689, 3597, 547, 9663, 1492, 560, 6978, 6843, 454, 12163, 5035, 19219, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 1871, 2187, 1038, 1582, 16000, 815, 7183, 454, 1038, 1582, 16192, 815, 7183, 454, 1038, 1582, 21606, 815, 1871, 692, 3698, 7696, 20172, 267, 6843, 2187, 825, 952, 630, 10174, 568, 7183, 2187, 1038, 3597, 815, 6843, 454, 1038, 2132, 692, 825, 952, 630, 10174, 21606, 2999, 6843, 21606, 2187, 1038, 952, 630, 10174, 16192, 568, 7183, 2187, 2018, 3597, 16192, 815, 6843, 454, 1038, 3116, 912, 2018, 7696, 20172, 16192, 267, 6843, 994, 825, 3116, 912, 1038, 952, 630, 10174, 16000, 568, 7183, 2187, 2018, 3597, 16000, 815, 6843, 454, 1038, 3116, 912, 2018, 7696, 20172, 16000, 267, 6843, 9239, 5035, 8827, 912, 825, 1219, 3193, 291, 3704, 4311, 267, 3597, 2187, 1038, 952, 630, 10174, 568, 7183, 2187, 2018, 2132, 476, 271, 454, 1038, 952, 630, 10174, 16000, 568, 7183, 543, 3597, 16192, 568, 7183, 2187, 2018, 2132, 476, 272, 454, 1038, 2451, 815, 1582, 27982, 291, 3704, 20172, 16000, 994, 1038, 1318, 815, 1582, 27982, 291, 3704, 20172, 16192, 994, 1038, 2132, 3193, 263, 3847, 267, 1318, 264, 1341, 476, 272, 7531, 258, 8073, 513, 3529, 454, 29728, 815, 19219, 263, 276, 994, 12133, 6025, 872, 267, 19219, 263, 274, 4917, 12133, 6025, 872, 267, 19219, 263, 273, 4917, 12133, 6025, 872, 267, 19219, 263, 275, 4917, 12133, 6025, 872, 267, 19219, 263, 278, 4917, 12133, 6025, 872, 267, 19219, 263, 277, 4917, 12133, 6025, 872, 267, 19219, 263, 279, 11723, 338, 815, 8827, 4590, 2745, 4433, 27982, 291, 3704, 6025, 872, 4297, 0, 258, 28605, 8193, 281, 583, 325, 279, 20609, 8894, 5814, 2979, 454, 5814, 8918, 454, 5814, 15259, 692, 18444, 815, 476, 274, 269, 15221, 30020, 277, 692, 3698, 10624, 26000, 937, 10031, 825, 10624, 815, 3403, 2891, 3269, 454, 11434, 2878, 20594, 20594, 20594, 11960, 7052, 454, 4449, 1363, 8080, 547, 16176, 18185, 263, 23911, 994, 11434, 2878, 20594, 20594, 20594, 11960, 7052, 454, 14030, 476, 476, 272, 4732, 514, 1535, 454, 14030, 476, 476, 273, 269, 6523, 1535, 454, 14030, 476, 476, 274, 6745, 534, 1535, 454, 14030, 476, 476, 275, 6983, 582, 1535, 454, 14030, 476, 476, 276, 5861, 14211, 5496, 3097, 14030, 476, 476, 271, 30419, 16718, 454, 11434, 815, 25275, 13117, 7529, 4499, 23751, 4449, 23526, 8729, 585, 946, 563, 11434, 815, 25275, 13117, 7529, 4499, 23751, 567, 5727, 994, 825, 952, 1193, 18994, 323, 13424, 263, 5443, 340, 2187, 1038, 10624, 815, 703, 263, 5443, 340, 994, 1038, 952, 10624, 3436, 476, 276, 543, 10624, 2999, 476, 271, 912, 2018, 10624, 815, 10624, 26000, 937, 4590, 825, 3116, 912, 1038, 1820, 2891, 19587, 3403, 256, 7490, 556, 2987, 1584, 907, 23528, 1038, 10624, 815, 10624, 26000, 937, 4590, 825, 2132, 10624, 692, 3698, 3403, 13448, 10031, 825, 522, 815, 3403, 2891, 8923, 3403, 1535, 281, 19515, 825, 522, 815, 10581, 263, 334, 994, 825, 1535, 815, 522, 454, 825, 1247, 1535, 3436, 476, 11740, 912, 1038, 1535, 815, 1535, 910, 476, 11740, 454, 825, 1535, 815, 1535, 2608, 28697, 1315, 476, 5197, 454, 825, 2132, 630, 334, 267, 1535, 2020, 3698, 1250, 11274, 3287, 2187, 825, 952, 1535, 2999, 476, 271, 912, 1038, 2132, 1535, 454, 825, 3116, 912, 1038, 2132, 910, 343, 692, 3698, 5609, 3287, 267, 547, 331, 284, 272, 324, 268, 1428, 267, 562, 10946, 284, 1911, 2187, 825, 8918, 10947, 935, 3667, 14061, 2181, 322, 815, 476, 278, 454, 825, 536, 284, 271, 454, 825, 585, 1775, 538, 2039, 630, 333, 10946, 2187, 1038, 552, 815, 630, 273, 265, 328, 266, 272, 994, 1038, 524, 14352, 4118, 269, 2399, 3645, 16216, 4917, 1038, 513, 815, 11196, 272, 264, 1262, 328, 265, 20657, 2711, 6185, 1815, 2711, 3287, 264, 1262, 263, 324, 8358, 322, 454, 1038, 536, 271, 815, 536, 454, 1038, 536, 6834, 513, 454, 1038, 952, 536, 271, 2652, 536, 912, 2018, 2736, 454, 825, 2132, 536, 22562, 3698, 5430, 3287, 2187, 825, 1535, 815, 28697, 1315, 476, 273, 910, 1535, 454, 825, 2132, 5609, 3287, 2020, 3698, 16009, 3287, 2187, 825, 2132, 630, 7562, 3287, 264, 1315, 5430, 3287, 11723, 3698, 28422, 3287, 2187, 825, 2132, 630, 272, 1315, 16009, 3287, 11723, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 10624, 815, 10624, 26000, 937, 4590, 825, 1247, 10624, 11203, 476, 271, 912, 1038, 952, 10624, 2652, 476, 272, 912, 2018, 630, 334, 267, 1535, 264, 815, 3403, 13448, 4590, 2018, 1267, 815, 5609, 3287, 994, 2018, 1820, 2891, 7562, 263, 10065, 273, 325, 264, 815, 4939, 269, 278, 325, 257, 4939, 630, 334, 267, 1267, 4917, 2018, 10624, 815, 10624, 26000, 937, 4590, 2018, 3136, 454, 1038, 952, 10624, 2652, 476, 273, 912, 2018, 630, 334, 267, 1535, 264, 815, 3403, 13448, 4590, 2018, 1267, 815, 5430, 3287, 994, 2018, 1820, 2891, 6523, 263, 10065, 273, 325, 264, 815, 4939, 269, 278, 325, 257, 4939, 630, 334, 267, 1267, 4917, 2018, 10624, 815, 10624, 26000, 937, 4590, 2018, 3136, 454, 1038, 952, 10624, 2652, 476, 274, 912, 2018, 630, 334, 267, 1535, 264, 815, 3403, 13448, 4590, 2018, 952, 522, 11203, 476, 271, 543, 522, 1315, 476, 3445, 4939, 476, 273, 11203, 476, 271, 912, 3546, 1820, 2891, 11927, 263, 10065, 273, 325, 264, 568, 711, 6818, 1701, 4939, 522, 994, 2018, 3116, 912, 3546, 1267, 815, 16009, 3287, 994, 3546, 1820, 2891, 11927, 263, 10065, 273, 325, 264, 815, 4939, 269, 278, 325, 257, 4939, 630, 334, 267, 1267, 4917, 2018, 10624, 815, 10624, 26000, 937, 4590, 2018, 3136, 454, 1038, 952, 10624, 2652, 476, 275, 912, 2018, 630, 334, 267, 1535, 264, 815, 3403, 13448, 4590, 2018, 952, 522, 1315, 476, 3445, 4939, 476, 273, 2652, 476, 271, 912, 3546, 1820, 2891, 20799, 263, 10065, 273, 325, 264, 568, 711, 6818, 1701, 4939, 522, 994, 2018, 3116, 912, 3546, 952, 522, 4939, 476, 3445, 2652, 476, 271, 912, 7386, 1267, 815, 10581, 263, 271, 994, 3546, 3116, 912, 7386, 1267, 815, 28422, 3287, 994, 3546, 1820, 2891, 20799, 263, 10065, 273, 325, 264, 815, 4939, 269, 278, 325, 257, 4939, 630, 334, 267, 1267, 4917, 2018, 10624, 815, 10624, 26000, 937, 4590, 2018, 3136, 454, 1038, 952, 10624, 2652, 476, 276, 912, 2018, 15259, 269, 17882, 2891, 743, 338, 5602, 2018, 10624, 815, 10624, 26000, 937, 4590, 2018, 3136, 454, 1038, 3116, 912, 2018, 1820, 2891, 19587, 3403, 256, 7490, 556, 2987, 1584, 907, 23528, 2018, 10624, 815, 10624, 26000, 937, 4590, 8931, 825, 1820, 2891, 12552, 585, 946, 16176, 18185, 263, 23911, 1040, 5602 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 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, 10289, 519, 22387, 1155, 2622, 540, 7844, 3004, 1231, 692, 5970, 596, 2479, 2938, 1346, 6263, 14884, 1990, 6235, 1472, 6946, 8916, 286, 1358, 2811, 1572, 2203, 14884, 256, 4658, 1628, 891, 20538, 10600, 607, 513, 15908, 267, 15386, 873, 693, 2621, 899, 5721, 2982, 269, 4653, 267, 649, 786, 7832, 593, 606, 3078, 3460, 883, 713, 4241, 1158, 543, 1451, 827, 2870, 707, 1378, 1507, 2203, 16456, 29282, 780, 26329, 14884, 2097, 538, 1585, 7306, 267, 855, 835, 2442, 2450, 1851, 12439, 568, 1634, 607, 834, 301, 4336, 2437, 799, 1797, 519, 3631, 616, 5111, 476, 272, 281, 8182, 2053, 4130, 982, 1483, 3734, 13413, 269, 1280, 1383, 267, 952, 513, 1483, 21525, 12067, 3800, 476, 3583, 3952, 1279, 267, 606, 715, 8397, 4528, 1131, 1152, 581, 476, 280, 6279, 1279, 256, 5994, 2348, 971, 513, 11741, 2943, 23406, 18187, 320, 540, 513, 1483, 5721, 1062, 1318, 538, 707, 1753, 780, 3086, 1577, 721, 2263, 1018, 4422, 883, 14335, 891, 9159, 10525, 269, 1879, 2679, 513, 2203, 16456, 11768, 267, 621, 6238, 609, 8888, 513, 1544, 1759, 593, 2230, 8244, 269, 9540, 518, 29282, 1419, 2268, 476, 275, 343, 279, 3952, 1107, 1175, 2614, 4055, 547, 1711, 606, 2502, 6429, 1247, 4509, 4383, 1464, 780, 5331, 596, 1616, 547, 30712, 513, 14297, 29421, 12881, 22290, 513, 22471, 559, 5757, 269, 1677, 798, 865, 267, 1101, 267, 2824, 3617, 13475, 547, 2482, 856, 519, 16749, 2619, 998, 519, 5251, 269, 3973, 1039, 2609, 971, 607, 13123, 267, 25310, 267, 10473, 267, 543, 1256, 1004, 256, 1452, 3877, 948, 3142, 519, 1650, 547, 1272, 780, 2691, 8939, 2326, 267, 2015, 1210, 5020, 6441, 833, 5295, 6441, 665, 19695, 1606, 559, 591, 3950, 4773, 1813, 547, 741, 8897, 540, 946, 543, 15006, 269, 4635, 1114, 2010, 540, 3950, 6810, 2636, 585, 23704, 7140, 267, 2269, 2074, 267, 543, 13141, 1149, 267, 7175, 519, 14884, 547, 6330, 811, 6923, 2429, 519, 29278, 780, 5629, 519, 5748, 568, 1305, 267, 1445, 593, 13167, 2189, 3889, 547, 3986, 707, 6249, 2417, 269, 12344, 596, 1223, 1628, 513, 18241, 2845, 19970, 31314, 1369, 4054, 2282, 519, 1216, 781, 6316, 610, 1374, 513, 26009, 31219, 693, 519, 2295, 540, 519, 29421, 12881, 5106, 269, 8490, 1367, 3334, 949, 3100, 4101, 7620, 282, 2705, 267, 676, 1739, 1900, 8386, 9912, 5528, 3177, 609, 1034, 2203, 20164, 267, 4896, 666, 4487, 621, 2439, 2414, 9414, 267, 4952, 7011, 1782, 513, 2241, 11308, 2497, 6539, 269, 10670, 676, 18570, 782, 2694, 2687, 547, 1826, 543, 17265, 1022, 12222, 3769, 269, 28392, 15441, 1927, 6821, 267, 19683, 267, 543, 8122, 6810, 1354, 7206, 543, 4946, 18138, 18953, 269, 5457, 267, 9639, 543, 8856, 6556, 17598, 2164, 2439, 2026, 5145, 1782, 3889, 8591, 3178, 543, 2796, 547, 707, 20538, 1158, 267, 3850, 8436, 547, 23365, 2933, 4628, 538, 519, 1995, 269, 1306, 596, 3356, 267, 1745, 1863, 547, 4603, 609, 3606, 2934, 971, 607, 8654, 2360, 267, 3280, 1949, 267, 610, 19347, 17960, 547, 10802, 519, 2949, 6881, 780, 1103, 3932, 267, 18167, 883, 519, 7706, 540, 2203, 14884, 3091, 11995, 3860, 7399, 269, 1635, 1620, 2596, 2035, 899, 7446, 10253, 267, 4058, 11768, 6272, 267, 18413, 13475, 267, 543, 14335, 3889, 267, 596, 1932, 666, 1831, 851, 540, 713, 7524, 2146, 269, 5808, 6487, 910, 6148, 14693, 707, 1360, 1378, 5137, 1522, 11419, 519, 21684, 540, 513, 9754, 610, 546, 9579, 548, 4715, 2209, 693, 513, 2199, 5721, 1397, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 28494, 22066, 21541, 8058, 9540, 7844, 21805, 20233, 8083, 585, 1857, 4159, 454, 2690, 936, 513, 8717, 267, 519, 19835, 3118, 10406, 814, 9112, 1507, 2203, 5721, 29282, 585, 4159, 543, 23405, 693, 2199, 5721, 2982, 269, 2290, 540, 938, 3078, 3785, 729, 519, 4070, 540, 513, 2688, 476, 275, 685, 343, 279, 12664, 2203, 16456, 585, 519, 16713, 3778, 7467, 269, 901, 11768, 729, 10268, 538, 741, 8858, 267, 968, 5978, 2622, 538, 22387, 1155, 892, 1282, 519, 15604, 540, 476, 1220, 274, 269, 1411, 666, 4945, 713, 8666, 547, 979, 547, 519, 1376, 540, 519, 936, 476, 1911, 6337, 540, 713, 11768, 267, 543, 1142, 540, 922, 3889, 269, 589, 1297, 540, 519, 5656, 723, 4930, 610, 4388, 593, 875, 547, 27043, 602, 1808, 2203, 6539, 563, 10666, 938, 1788, 2203, 16456, 29282, 454, 3080, 540, 938, 5172, 1788, 16456, 338, 729, 519, 19835, 3118, 6239, 17886, 11768, 269, 898, 729, 2966, 1472, 1079, 19883, 2872, 10207, 630, 821, 593, 1142, 2427, 540, 519, 11768, 1040, 901, 2427, 2982, 519, 1957, 543, 737, 2761, 14200, 609, 513, 3574, 13863, 796, 2903, 532, 1858, 269, 5020, 6441, 833, 5295, 6441, 665, 19695, 1606, 559, 591, 3950, 729, 1031, 585, 713, 1808, 11768, 563, 5978, 1788, 16456, 338, 723, 1031, 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, 267, 538, 513, 10477, 543, 9589, 1747, 1572, 14958, 2622, 267, 972, 941, 1082, 11623, 4904, 609, 1114, 5686, 540, 13492, 543, 12348, 269, 769, 835, 2027, 4055, 267, 972, 941, 6263, 4773, 540, 8142, 538, 1169, 2681, 596, 1223, 4952, 267, 8325, 1448, 344, 19271, 267, 543, 2027, 1957, 609, 6266, 540, 2370, 10945, 1572, 3444, 3613, 3558, 5958, 780, 2467, 5030, 513, 1895, 540, 7874, 7068, 1572, 834, 28755, 1123, 338, 1701, 1358, 6068, 1210, 519, 16060, 543, 19271, 547, 1711, 4190, 5961, 676, 1739, 3270, 593, 519, 3444, 3613, 3558, 5958, 269, 634, 6159, 1123, 338, 1131, 1694, 1927, 543, 10004, 1247, 19173, 532, 2476, 267, 2870, 17681, 25704, 609, 1142, 6297, 1093, 651, 540, 741, 19271, 780, 3080, 1554, 267, 513, 8049, 2370, 8004, 3957, 15039, 4862, 827, 14958, 2622, 689, 1200, 7023, 945, 1185, 10272, 1354, 269, 15039, 729, 2141, 11235, 547, 1451, 1007, 1919, 543, 4956, 1352, 4941, 547, 1831, 513, 6159, 1123, 1932, 269, 2701, 4280, 1200, 544, 20207, 267, 834, 1432, 568, 3444, 3613, 26677, 8119, 4173, 544, 20207, 6045, 267, 834, 15899, 3613, 26677, 568, 950, 649, 18055, 7168, 5961, 1210, 13549, 543, 8142, 593, 2027, 12308, 609, 1507, 10945, 3010, 299, 1176, 7948, 1405, 7227, 547, 2285, 621, 513, 2119, 256, 1924, 267, 1055, 789, 4682, 547, 3643, 14958, 2622, 269, 1879, 789, 8452, 267, 631, 20207, 4951, 15039, 875, 547, 3442, 1200, 4778, 543, 4584, 909, 519, 6094, 267, 5347, 8142, 269, 8921, 267, 1352, 5697, 513, 11308, 11876, 641, 547, 3180, 1200, 5958, 512, 2246, 607, 1352, 5249, 269, 8625, 267, 789, 4121, 799, 1259, 547, 16833, 519, 8142, 1472, 519, 13549, 865, 602, 621, 9327, 1405, 2887, 1055, 1247, 533, 3183, 621, 998, 1346, 6263, 9475, 593, 519, 5958, 780, 300, 20207, 1287, 7152, 875, 547, 1118, 513, 2582, 19173, 267, 13057, 15039, 781, 3946, 547, 1106, 606, 1412, 311, 262, 3337, 676, 2469, 25241, 958, 1524, 267, 2066, 267, 543, 1394, 909, 1586, 269, 17652, 2614, 267, 15039, 9575, 593, 3533, 543, 3323, 1818, 811, 2473, 781, 1985, 547, 1142, 824, 269, 2060, 9543, 19015, 267, 1352, 13736, 2394, 1200, 1101, 2370, 8768, 3459, 547, 1491, 3337, 780, 2026, 789, 2893, 2427, 676, 2427, 2324, 593, 741, 3785, 267, 15039, 8068, 1945, 4277, 8345, 269, 5272, 942, 2576, 1500, 513, 19173, 7404, 267, 621, 5433, 3636, 543, 18241, 910, 3592, 899, 4687, 12897, 4195, 689, 519, 14089, 256, 1879, 1352, 4280, 631, 20207, 1946, 602, 5949, 267, 1352, 14452, 267, 834, 6546, 4743, 2501, 689, 519, 7772, 3838, 1063, 2828, 1247, 3257, 1945, 3860, 1927, 15323, 7661, 267, 1310, 3108, 2407, 540, 17409, 267, 1565, 267, 543, 2648, 267, 15039, 23217, 4371, 909, 1200, 8737, 4062, 12544, 6263, 267, 32620, 18173, 269, 1656, 1256, 1732, 982, 2348, 2813, 1945, 4190, 9887, 267, 1352, 4362, 602, 7836, 2298, 942, 609, 1200, 15210, 631, 20207, 4547, 873, 6251, 1927, 780, 5804, 602, 4090, 4464, 267, 8164, 4896, 5018, 519, 2262, 834, 8154, 2437, 6653, 8823, 540, 15039, 781, 7045, 538, 14958, 2622, 3357, 678, 5241, 1394, 269, 4634, 1631, 267, 8164, 1352, 12034, 513, 18991, 25918, 1229, 4605, 610, 26717, 909, 513, 13549, 543, 8142, 267, 1352, 6487, 602, 12341, 1369, 3914, 616, 11995, 7399, 7996, 547, 4652, 14766, 896, 1200, 14637, 5905, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 314, 296, 4126, 596, 666, 1224, 713, 7127, 689, 1376, 547, 9096, 1862, 18484, 5257, 339, 1175, 1236, 574, 998, 519, 5961, 2433, 335, 2639, 23219, 940, 281, 1411, 1522, 1995, 930, 4739, 30072, 269, 901, 568, 519, 3993, 2903, 540, 782, 4739, 344, 8631, 563, 296, 4312, 1044, 10023, 20612, 8637, 538, 1250, 5816, 547, 948, 5186, 3832, 1562, 856, 972, 1265, 4025, 1141, 789, 666, 1205, 741, 20612, 3761, 269, 594, 6415, 711, 883, 824, 13492, 543, 1810, 1405, 2671, 1454, 827, 4739, 8637, 543, 519, 824, 8631, 789, 6133, 269, 901, 835, 568, 606, 9868, 1498, 543, 568, 4502, 10213, 827, 269, 594, 1810, 1405, 917, 952, 713, 568, 606, 12600, 1085, 17274, 267, 855, 952, 4896, 540, 596, 568, 883, 13492, 267, 713, 5816, 1522, 1175, 581, 707, 812, 3534, 689, 13140, 630, 13433, 267, 594, 6415, 602, 30107, 995, 827, 621, 1916, 2710, 596, 917, 14958, 2622, 286, 1358, 1031, 547, 723, 8371, 538, 15382, 23729, 600, 718, 267, 10369, 256, 10369, 29755, 20484, 781, 11829, 4997, 267, 543, 16635, 26864, 269, 898, 781, 2965, 3833, 8909, 602, 609, 782, 713, 17105, 7071, 585, 13492, 543, 29586, 8631, 267, 2523, 1851, 1762, 1004, 267, 713, 834, 13318, 3191, 257, 568, 1100, 3476, 7674, 519, 2115, 540, 6159, 1123, 338, 899, 721, 538, 544, 8712, 563, 3383, 835, 1434, 2243, 547, 2307, 568, 267, 834, 2662, 6231, 2237, 513, 1453, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 290, 32323, 4811, 1299, 670, 15477, 10292, 2464, 1315, 10261, 548, 1740, 1315, 9061, 21178, 3558, 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, 1262, 8794, 21058, 9473, 1682, 281, 589, 5153, 8386, 28157, 6651, 4373, 8702, 547, 713, 3102, 3391, 593, 1210, 4775, 7873, 1682, 256, 901, 5850, 568, 2966, 585, 2043, 609, 2370, 547, 1100, 1991, 1702, 540, 1480, 14169, 267, 4638, 1072, 267, 610, 14375, 3347, 269, 1284, 786, 3802, 596, 998, 1169, 2460, 540, 1210, 4775, 7873, 1682, 267, 689, 1620, 1018, 789, 616, 547, 5265, 8741, 532, 540, 873, 1310, 946, 780, 1262, 1432, 3657, 21058, 9473, 1682, 286, 12533, 6524, 649, 2253, 267, 1577, 781, 1376, 609, 519, 9238, 269, 589, 4775, 598, 3256, 568, 513, 1826, 540, 15333, 21082, 3926, 12816, 676, 8951, 1282, 4638, 26697, 547, 2061, 6379, 543, 16770, 10299, 5563, 630, 306, 30454, 1040, 898, 568, 513, 2571, 267, 8465, 8546, 1500, 540, 3735, 343, 610, 4874, 675, 628, 2033, 602, 3515, 519, 29199, 267, 2870, 513, 11064, 1063, 519, 4050, 529, 543, 519, 14677, 1460, 780, 1262, 27609, 566, 1772, 6206, 12533, 6524, 2502, 538, 1022, 4638, 2534, 267, 1118, 2386, 596, 723, 1569, 547, 4775, 7873, 1682, 269, 1411, 666, 6718, 873, 693 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 476, 1911, 546, 552, 535, 575, 554, 1775, 795, 737, 561, 544, 476, 8099, 562, 522, 533, 7117, 678, 521, 512, 579, 642, 530, 476, 6344, 1535, 586, 1990, 2715, 1923, 7684, 9625, 5548, 692, 2791, 666, 2259, 32412, 2862, 17683, 2630, 269, 7490, 267, 3403, 17447, 1510, 3056, 21325, 267, 543, 2322, 4010, 835, 2230, 1063, 17447, 269, 7151, 281, 834, 13043, 1325, 633, 10590, 568, 23876, 607, 834, 6507, 476, 9032, 476, 14138, 476, 10441, 476, 3953, 476, 4792, 476, 10482, 476, 10755, 476, 14093, 476, 6200, 476, 3451, 2668, 2991, 17511, 538, 707, 2626, 267, 2046, 2132, 547, 1294, 952, 596, 616, 2953, 1384, 20797, 454, 3008, 290, 2862, 7402, 5317, 0, 272, 269, 274, 11644, 476, 280, 692, 763, 8675, 1931, 6935, 568, 1360, 1271, 267, 1317, 621, 6257, 538, 4440, 519, 1034, 24534, 1259, 476, 1109, 6011, 649, 666, 1931, 2798, 593, 519, 31951, 7077, 630, 528, 593, 1022, 31951, 1587, 6393, 257, 13425, 602, 519, 8675, 1931, 568, 606, 1931, 6935, 3010, 24867, 2586, 689, 1109, 12749, 1108, 1109, 2421, 6276, 681, 269, 631, 6064, 637, 267, 5822, 9990, 267, 623, 1370, 823, 8065, 267, 27359, 267, 476, 1220, 271, 269, 8525, 476, 3066, 24355, 19030, 306, 5357, 28513, 692, 5575, 267, 5469, 602, 519, 8675, 1931, 568, 3989, 593, 1269, 288, 1422, 9392, 645, 259, 630, 663, 3976, 519, 8675, 1931, 6935, 2729, 538, 18159, 288, 1422, 9392, 645, 264, 1422, 9392, 630, 288, 1422, 9392, 645, 7751, 6393, 21008, 1464, 269, 5231, 17292, 1269, 320, 318, 272, 1422, 9392, 536, 318, 272, 1422, 928, 336, 513, 318, 273, 1422, 9392, 536, 318, 273, 10608, 1109, 3973, 2901, 1269, 320, 318, 272, 2999, 318, 288, 513, 318, 273, 8961, 610, 1269, 320, 318, 272, 3436, 318, 288, 513, 318, 273, 259, 630, 528, 1312, 1040, 1403, 1269, 320, 318, 272, 815, 513, 318, 273, 8961, 1287, 2901, 1269, 321, 318, 272, 2999, 318, 289, 536, 318, 273, 259, 610, 1269, 321, 318, 272, 3436, 318, 289, 536, 318, 273, 259, 630, 528, 1312, 1040, 1109, 18564, 602, 952, 1269, 321, 318, 272, 815, 536, 318, 273, 8961, 1287, 1269, 320, 318, 272, 1422, 9392, 536, 318, 272, 815, 513, 318, 273, 1422, 9392, 536, 318, 273, 8961, 14669, 547, 938, 4584, 610, 13429, 269, 1109, 4935, 267, 4086, 1464, 568, 3020, 585, 782, 2609, 540, 1269, 288, 1422, 9392, 645, 16859, 15239, 18022, 2716, 2032, 269, 1109, 1284, 1616, 547, 1397, 602, 585, 1100, 1269, 320, 1422, 9392, 536, 1422, 514, 589, 1422, 9392, 645, 259, 519, 3948, 18159, 320, 1422, 9392, 536, 267, 513, 1422, 9392, 536, 264, 1422, 514, 595, 259, 6585, 269, 1109, 14597, 621, 1281, 585, 930, 3693, 269, 1109, 3973, 713, 1797, 1269, 320, 2999, 318, 288, 513, 8961, 855, 713, 17591, 338, 519, 3961, 610, 16846, 633, 3959, 540, 7862, 269, 1109, 898, 5205, 1269, 320, 815, 513, 8961, 855, 1287, 1269, 321, 2999, 318, 289, 536, 8961, 1586, 513, 27171, 269, 1109, 6348, 18022, 2716, 2032, 6585, 4061, 585, 782, 2609, 1269, 320, 1422, 9392, 536, 16859, 9558, 6638, 269, 1109, 623, 10107, 1269, 320, 318, 272, 1422, 9392, 536, 318, 272, 8961, 1269, 320, 318, 273, 1422, 9392, 536, 318, 273, 8961, 543, 1269, 320, 318, 274, 1422, 9392, 536, 318, 274, 1422, 514, 589, 1422, 9392, 645, 8961, 649, 723, 547, 1397, 602, 1269, 320, 318, 272, 1422, 9392, 536, 318, 272, 2999, 513, 318, 273, 1422, 9392, 536, 318, 273, 259, 543, 1269, 320, 318, 273, 1422, 9392, 536, 318, 273, 2999, 513, 318, 274, 1422, 9392, 536, 318, 274, 259, 10522, 1269, 320, 318, 272, 1422, 9392, 536, 318, 272, 2999, 513, 318, 274, 1422, 9392, 536, 318, 274, 10608, 1109, 1306, 538, 3105, 2042, 267, 649, 666, 2638, 713, 676, 23312, 538, 2665, 269, 1109, 769, 519, 1101, 2013, 267, 1269, 320, 318, 272, 2999, 318, 288, 513, 318, 273, 259, 543, 1269, 320, 318, 273, 2999, 318, 288, 513, 318, 274, 10608, 1109, 901, 1797, 1269, 320, 318, 272, 2999, 318, 288, 513, 318, 273, 2999, 318, 288, 513, 318, 274, 10608, 1109, 3371, 949, 581, 513, 20202, 851, 281, 649, 723, 547, 917, 602, 519, 1305, 1269, 288, 259, 568, 10288, 630, 663, 1098, 6638, 6585, 538, 602, 1305, 1070, 607, 649, 798, 1317, 649, 917, 1269, 283, 318, 288, 259, 568, 606, 19280, 6935, 269, 1109, 4935, 267, 676, 1098, 6638, 540, 519, 1305, 1269, 288, 8961, 1269, 320, 318, 272, 2999, 318, 288, 513, 318, 274, 10608, 1109, 769, 519, 2034, 2013, 267, 1109, 1269, 320, 318, 272, 2999, 318, 288, 513, 318, 273, 259, 543, 1269, 320, 318, 273, 815, 513, 318, 274, 10608, 1109, 769, 713, 2013, 649, 946, 18839, 543, 12446, 693, 1269, 320, 318, 272, 2999, 318, 288, 513, 318, 274, 10608, 1109, 769, 519, 3791, 2013, 267, 1109, 1269, 320, 318, 272, 815, 513, 318, 273, 259, 543, 1269, 320, 318, 273, 2999, 318, 288, 513, 318, 274, 10608, 1109, 11088, 676, 18839, 1269, 320, 318, 272, 2999, 318, 288, 513, 318, 274, 10608, 1109, 769, 519, 8772, 2013, 267, 1109, 1269, 320, 318, 272, 815, 513, 318, 273, 259, 543, 1269, 320, 318, 273, 815, 513, 318, 274, 10608, 1109, 901, 10522, 1269, 321, 318, 272, 2999, 318, 289, 536, 318, 273, 259, 543, 1269, 321, 318, 273, 2999, 318, 289, 536, 318, 274, 10608, 1109, 769, 2490, 267, 713, 1797, 1269, 321, 318, 272, 2999, 318, 289, 536, 318, 273, 2999, 318, 289, 536, 318, 274, 10608, 1109, 11088, 267, 649, 723, 547, 917, 602, 1269, 289, 259, 568, 10288, 630, 553, 649, 798, 267, 676, 1269, 283, 318, 289, 259, 1070, 543, 3976, 1098, 6638, 6585, 585, 519, 2609, 540, 1269, 289, 259, 281, 1269, 321, 318, 272, 2999, 318, 289, 536, 318, 274, 10608, 1109, 898, 5205, 602, 519, 1931, 6935, 593, 1269, 288, 1422, 9392, 645, 259, 9100, 1080, 1098, 6638, 780, 290, 20975, 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 ]
[ 540, 513, 29929, 563, 288, 2034, 3524, 601, 1572, 834, 298, 2426, 17540, 623, 7701, 476, 274, 257, 729, 5950, 593, 5130, 476, 3066, 267, 634, 1101, 22305, 4851, 540, 9291, 22735, 729, 538, 519, 2136, 2276, 269, 9504, 2376, 281, 3689, 22305, 4851, 540, 9291, 22735, 269, 2311, 540, 2085, 942, 540, 1010, 1101, 22305, 4851, 267, 22735, 729, 519, 3791, 3917, 537, 978, 652, 1268, 547, 1831, 7022, 267, 543, 519, 1101, 689, 519, 17926, 4425, 9593, 5108, 563, 290, 1663, 6804, 4670, 729, 4553, 676, 513, 7641, 3510, 18792, 8095, 11325, 269, 9504, 2376, 281, 595, 1663, 6804, 4670, 269, 898, 814, 4607, 3622, 2318, 8039, 689, 13915, 543, 568, 2808, 547, 581, 835, 540, 519, 1655, 7141, 8874, 540, 782, 942, 563, 763, 4670, 729, 4553, 676, 513, 8095, 11325, 8613, 1694, 1260, 267, 3126, 540, 2835, 267, 543, 20368, 870, 2289, 3930, 814, 9307, 602, 789, 616, 6721, 513, 1121, 820, 269, 9504, 2376, 281, 1325, 808, 731, 710, 269, 21142, 8176, 808, 731, 710, 4535, 5181, 476, 274, 267, 568, 606, 1977, 22459, 267, 22256, 267, 543, 5152, 23116, 945, 1071, 1922, 15903, 519, 16047, 27258, 269, 1261, 568, 1655, 1634, 607, 519, 6512, 781, 11733, 13176, 626, 543, 585, 12212, 13465, 1291, 4938, 1023, 593, 8964, 971, 607, 834, 20055, 2725, 267, 10910, 25352, 257, 2073, 834, 10190, 594, 918, 1170, 539, 4173, 257, 2073, 543, 834, 290, 727, 3619, 609, 2725, 257, 3571, 5152, 834, 299, 8014, 10370, 24229, 257, 2968, 513, 5177, 1283, 476, 1015, 5734, 585, 519, 1895, 538, 9504, 2376, 281, 1133, 2581, 595, 5202, 667, 542, 17581, 563, 4462, 2581, 568, 519, 27630, 18638, 17581, 676, 8225, 22256, 595, 5202, 667, 542, 543, 1200, 1101, 2296, 25082, 17581, 269, 1234, 548, 1078, 593, 476, 273, 4989, 676, 12052, 19475, 267, 621, 2934, 513, 3575, 540, 7544, 8964, 543, 3440, 6758, 6766, 676, 519, 521, 2571, 4224, 563, 26796, 922, 5305, 267, 834, 4462, 2581, 257, 4607, 3622, 2318, 8039, 689, 2575, 13915, 267, 945, 5360, 2939, 539, 667, 542, 781, 5639, 543, 4480, 267, 607, 1134, 607, 519, 17581, 781, 1543, 269, 9504, 2376, 281, 27950, 28711, 534, 563, 296, 534, 28711, 534, 4535, 476, 866, 4864, 568, 606, 2296, 22256, 543, 5152, 23116, 563, 10743, 609, 24894, 543, 28941, 7896, 281, 8490, 519, 12243, 454, 5472, 891, 14449, 723, 1044, 16135, 538, 513, 2582, 840, 3491, 947, 539, 28957, 29746, 267, 3850, 585, 3655, 790, 337, 543, 811, 5812, 6268, 607, 1134, 607, 7175, 1007, 4305, 1305, 5725, 971, 607, 1617, 527, 2532, 543, 4483, 1565, 609, 8766, 4674, 269, 918, 6579, 307, 849, 2488, 2645, 547, 5659, 543, 1174, 519, 11236, 1500, 676, 3631, 267, 607, 1134, 607, 519, 2963, 789, 1683, 585, 741, 11236, 269, 1403, 1210, 891, 14449, 267, 5225, 13712, 519, 1957, 2404, 609, 519, 918, 6579, 307, 14449, 3312, 4574, 269, 11310, 25673, 4247, 2443, 1346, 1141, 513, 1480, 666, 1152, 581, 4397, 547, 1685, 519, 4305, 609, 1569, 547, 513, 1702, 2707, 971, 607, 28957, 2443, 616, 4101, 585, 1256, 5969, 6316, 28589, 3631, 269, 1452, 4247, 2154, 3631, 547, 10502, 11291, 267, 13861, 543, 4019, 1702, 827, 519, 1158, 607, 1134, 607, 1683, 2963, 543, 1175, 5874, 585, 741, 11236, 269, 1452, 4247, 616, 1419, 6594, 538, 10072, 543, 2154, 513, 2603, 540, 1646, 4674, 547, 960, 563, 1805, 800, 8346, 281, 11879, 543, 11300, 22604, 454, 8269, 4103, 10055, 8298, 514, 269, 7046, 26888, 269, 772, 6195, 634, 4513, 543, 19837, 31277, 269, 3171, 25733, 14635, 269, 27508, 267, 13797, 17593, 2353, 1702, 568, 14350, 9112, 543, 2796, 1302, 13883, 563, 290, 1042, 1080, 543, 8622, 18488, 585, 1570, 22666, 689, 824, 2959, 267, 543, 25735, 609, 10479, 267, 2408, 593, 519, 3617, 2985, 1369, 519, 1257, 269, 2353, 2924, 11603, 269, 3143, 851, 540, 713, 1433, 949, 581, 25735, 538, 1022, 1106, 610, 676, 1022, 5907, 610, 7344, 1797, 267, 1519, 1344, 4859, 543, 23023, 1949, 267, 1510, 2854, 10479, 689, 519, 17404, 267, 4849, 676, 513, 2689, 518, 945, 949, 10839, 15102, 538, 513, 2689, 563, 29171, 15664, 2243, 543, 476, 274, 2875, 1065, 976, 525, 454, 396, 508, 20265, 14359, 3264, 29824, 3378, 4138, 13194, 4709, 27799, 20977, 14359, 4138, 11012, 6459, 13833, 3522, 269, 2843, 501, 3522, 18194, 27799, 9326, 31224, 2843, 375, 20046, 15800, 17153, 23970, 20265, 7549, 21134, 13150, 27593, 29112, 4344, 13077, 4344, 9261, 18775, 11714, 9924, 17153, 19757, 4138, 6459, 15800, 13194, 11012, 3264, 16648, 9326, 11714, 4736, 3264, 15671, 3378, 14359, 27799, 7549, 17201, 9841, 7549, 3378, 476, 13077, 13194, 267, 15800, 16044, 491, 4344, 22147, 3378, 14359, 4138, 476, 13077, 13194, 7846, 14359, 3264, 29824, 3378, 4138, 13194, 3378, 20732, 6459, 3378, 11714, 476, 13077, 13194, 15671, 13833, 3378, 16417, 11012, 269, 31560, 476, 16021, 10948, 23845, 3264, 14359, 27799, 7549, 17201, 9841, 24012, 17153, 11012, 3264, 7549, 7846, 4709, 9686, 14359, 4138, 16068, 4709, 267, 14359, 4138, 16068, 20265, 14359, 3264, 29824, 3378, 4138, 13194, 4709, 27799, 20434, 14359, 4138, 11012, 6459, 13833, 3522, 269, 2843, 507, 3522, 7549, 32648, 3264, 20500, 29112, 4344, 13077, 4344, 9261, 18775, 16068, 4344, 24012, 4709, 7846, 6459, 31502, 21660, 11012, 10528, 4138, 4709, 7549, 7846, 11012, 4344, 7846, 20977, 267, 15800, 29112, 9841, 19628, 13194, 31606, 10780, 32648, 9326, 20977, 267, 24893, 26580, 16068, 4709, 10780, 3378, 13150, 3264, 10528, 12811, 21170, 27188, 4736, 10528, 30718, 3522, 4138, 27593, 20046, 31502, 269, 2843, 504, 22147, 28027, 16068, 4709, 21660, 7549, 32648, 3264, 20500, 30935, 15671, 13833, 18775, 4138, 6459, 267, 28314, 17201, 25974, 31128, 15671, 3378, 23970, 8563, 7846, 10948, 3522, 6459, 10780, 19757, 10948, 21268, 7549, 4709, 7846, 26580, 476, 4814, 13833, 21170, 267, 16044, 483, 30324, 9326, 25338, 9924, 6459, 3378, 16068, 10948, 3264, 8563, 4138, 9686, 21170, 267, 24893, 26580, 16044, 491, 26580, 18194, 3522, 27593, 6459, 25974, 9841, 31128, 9261, 7846, 14359, 3264, 6459, 3264, 15671, 7549, 3378, 269, 910, 2843, 352, 8563, 9924, 267, 910, 476, 28821, 17153, 3378, 11012, 18547, 13194, 3522, 6459, 29112, 4344, 13077, 4344, 9261, 18775, 267, 910, 16068, 18547, 13194, 3522, 6459, 25974, 9841, 267, 24893, 26580, 18194, 4138, 16417, 7549, 4344, 18775, 11714, 2843, 362, 21833, 4709, 26281, 2843, 494, 9261, 21268, 4138, 7549, 3264, 21660, 11714, 13150, 16417, 10948, 3264, 11012, 10780, 16417, 13194, 4138, 9686, 12811, 4344, 21134, 2843, 504, 17201, 7846, 9261, 16648, 4138, 4138, 269, 2843, 509, 25974, 7549, 17201, 9841, 7549, 7846, 267, 21660, 17153, 19757, 9326, 4736, 9841, 476, 25000, 9261, 267, 16068, 4709, 14359, 4138, 10948, 3264, 15671, 3378, 14359, 3264, 11012, 9261, 22147, 25338, 9924, 10780, 16417, 9686, 10528, 23485, 4709, 9326, 31224, 267, 27188, 20413, 12811, 9326, 16068, 13150, 3522, 27593, 6459, 25974, 9841, 18194, 27593, 11714, 3522, 23485, 31606, 25000, 281, 10780, 5284, 379, 4814, 25974, 4138, 31224, 31128, 15671, 3378, 10780, 16417, 4814, 8563, 28476, 11714, 4138, 13194, 4138, 4344, 15800, 11714, 21268, 4709, 7846, 31224, 31502, 11714, 31560, 3522, 20732, 4138, 4709, 15671, 26580, 4709, 15800, 20434, 10780, 5284, 379, 9924, 4344, 28476, 31502, 476, 13077, 13194, 16417, 20732, 4138, 31224, 16044, 491, 4344, 7846, 11012, 4138, 4344, 7846, 3522, 30530, 19628, 11012, 3522, 9261, 21134, 7846, 563, 396, 508, 4709, 25338, 9924, 6459, 11012, 20434, 20732, 7549, 21134, 10780, 9841, 9326, 4709, 267, 24893, 4344, 29652, 9924, 30935, 9261, 20046, 4138, 31224, 15800, 9686, 7846, 27569, 3264, 15671, 3378, 11012, 6459, 29391, 21134, 30935, 14359, 4138, 9261, 24893, 3264, 6459, 13833, 3264, 18547, 11714, 16068, 10948, 18547, 17153, 11714, 476, 26580, 4709, 7549, 26281, 20413, 20046, 3522, 6459, 20434, 10948, 27799, 7549, 26281, 16068, 10528, 13077, 8563, 3264, 269, 31560, 9924, 16648, 13077, 8563, 20732, 25986, 9841, 21660, 31589, 21833, 7846, 267, 2843, 495, 3264, 7549, 7549, 21268, 16068, 15671, 31124, 9686, 3264, 6459, 11012, 26580, 9326, 4709, 7549, 7846, 11714, 10780, 3378, 25986, 18547, 17153, 476, 25000, 7549, 4736, 4138, 269, 2843, 507, 4138, 16068, 9686, 4709, 26281, 20413, 3522, 20732, 4138, 21162, 269, 2843, 508, 4709, 10780, 19757, 16648, 3264, 21833, 3522, 6459, 17095, 17095, 16417, 10528, 7549, 3378, 11012, 16648, 4138, 4344, 21134, 7846, 16068, 17153, 13077, 4709, 17221, 7549, 7846, 563, 306, 21788, 4753, 281, 5981, 19159, 267, 968, 299, 2320, 2456, 607, 23089, 547, 700, 5424, 543, 631, 17532, 2223, 19372, 618, 540, 606, 5571, 543, 3102, 6268, 1982, 547, 1256, 538, 3983, 2053, 267, 789, 1589, 17618, 543, 1832, 1565, 267, 543, 789, 771, 320, 26327, 2291, 543, 1265, 2081, 585, 741, 4145, 547, 581, 4862, 2943, 711, 1577, 840, 28175, 3939, 4976, 563, 396, 511, 26580, 25338, 9924, 6459, 3378, 27188, 16648, 4138, 13953, 13150, 8563, 3378, 910, 661, 3944, 867, 2426, 269, 910, 2843, 495, 3264, 7549, 7549, 21268, 7846, 14359, 13077, 8563, 4138, 6459, 25974, 9841, 16044, 491, 26580, 14359, 27671, 3264, 20500, 7549, 3378, 3264, 11012, 6459, 13833, 3378, 267, 16068, 13194, 20265, 10948, 3522, 19628, 27569, 3264, 3264, 27188, 16648, 4138, 13953, 13150, 8563, 3378, 269, 2843, 508, 4344, 14359, 3264, 15671, 3378, 476, 25000, 7549, 15800, 11714, 3264, 9326, 6459, 3378, 16044, 483, 17201, 19757, 21134, 563, 396, 350, 396, 499, 396, 503, 396, 356, 396, 494, 396, 350, 31560, 396, 494, 396, 350, 2843, 506, 396, 508, 396, 500, 396, 499, 396, 351, 29112, 396, 509, 396, 494, 396, 350, 396, 351, 396, 502, 2843, 351, 396, 508, 396, 505, 396, 361, 396, 504, 396, 508, 2843, 509, 396, 510, 396, 494, 29551, 396, 498, 396, 494, 910, 2843, 509, 13077, 8563, 28027, 286, 910, 11012, 10528, 4814, 25974, 4138, 20977, 269, 910, 2843, 504, 3522, 18547, 9326, 10780, 13077, 8563, 28027, 269, 29112, 4344, 13077, 4344, 9261, 18775, 476, 4344, 9326, 21833, 3264, 6459, 3378, 18194, 9924, 20732, 3522, 6459, 269, 910, 2843, 351, 396, 510, 396, 494, 396, 507, 396, 350, 396, 351, 396, 499, 396, 504, 396, 350, 396, 351, 269, 2843, 509, 13077, 8563, 28027, 16068, 2843, 351, 396, 510, 396, 494, 396, 507, 396, 350, 396, 351, 396, 499, 396, 504, 396, 350, 396, 351, 396, 499, 563, 268, 2843, 507, 7846, 15800, 10780, 7846, 16648, 20434, 18547, 11012, 29652, 4138, 13077, 20046, 31502, 476, 25000, 9261, 17095, 3522, 21833, 9686, 9924, 13953, 11714, 3264, 10948, 21268, 269, 2843, 497, 396, 505, 396, 494, 29551, 396, 494, 476, 7871, 2843, 351, 30718, 7846, 15671, 12811, 2843, 507, 7846, 9261, 19277, 3522, 18547, 2843, 375, 3264, 21833, 3522, 6459, 21660, 20413, 3522, 4736, 4736, 3522, 21833, 4709, 21134, 11012, 4344, 17201, 3264, 11714, 11012, 8563, 3378, 27671, 17095, 3522, 16648, 4138, 4709, 3264, 16021, 21660, 11714, 21268, 17153, 4709, 27671, 16044, 491, 25000, 21833, 3264, 563, 396, 352, 8563, 9924, 267, 476, 9326, 14359, 3264, 23970, 20265, 19628, 267, 17095, 3522, 7549, 16044, 491, 26580, 18194, 3264, 20977, 20046, 31502, 269, 2843, 363, 11714, 9924, 13194, 27593, 6459, 11012, 7549, 18775, 7846, 19628, 269, 2843, 495, 3264, 7549, 7549, 21268, 11714, 4736, 10528, 21134, 17221, 6459, 11012, 4138, 4709, 3264, 8563, 19277, 9924, 13953, 16044, 486, 13077, 9261, 21660, 28314, 31589, 9686, 4138, 2843, 351, 31606, 18547, 9686, 3378, 269, 910, 2843, 495, 9924, 31224, 20413, 5284, 370, 20046, 267, 15800, 4736, 7549, 7846, 4736, 13150, 8563, 12811, 21170, 3264, 18194, 9924, 17153, 3522, 17221, 3264, 18194, 3264, 20977, 20434, 11012, 3522, 17221, 25000, 4814, 9924, 563, 396, 351, 31606, 18547, 9686, 3378, 10780, 23485, 21833, 3522, 6459, 15800, 13194, 7846, 4814, 19757, 13833, 31606, 4709, 7846, 19628, 476, 31589, 7549, 7846, 17095, 28314, 31589, 9686, 4138, 11012, 11714, 9924, 13077, 21833, 23845, 27671, 14359, 29391, 3378, 7846, 9261, 23845, 9326, 15800, 27188, 21833, 3522, 4736, 3522, 21660, 2843, 375, 4138, 20500, 3264, 269, 910, 31560, 9924, 20413, 5284, 370, 3264, 16021, 30935, 9261, 20046, 4138, 31224, 267, 910, 29824, 19757, 17201, 21833, 3522, 6459, 29112, 9261, 4138, 4344, 267, 910, 24893, 26580, 11714, 13194, 15671, 31124, 9686, 31128, 15671, 3378, 27188, 13150, 16417, 9261, 6459, 12811, 269, 2843, 508, 4709, 14359, 4138, 476, 13077, 13194, 7846, 14359, 3264, 10780, 25974, 9261, 30324, 16417, 6459, 10780, 3378, 11012, 4344, 18775, 3378, 20265, 9261, 269, 910, 2843, 511, 26580, 476, 25000, 7549, 11714, 3522, 21833, 21170, 286, 910, 10780, 17201, 7846, 8563, 5284, 379, 4814, 25974, 4138, 16021, 23783, 21170, 29824, 3378, 4138, 13194, 4709, 27799, 2843, 498, 21833, 3522, 16648, 16648, 3522, 563, 396, 498, 397, 491, 8563, 4138, 9686, 2843, 495, 3264, 7549, 7549, 21268, 269, 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 ]
[ 1175, 1818, 930, 1382, 676, 519, 1259, 540, 2870, 2241, 6323, 1138, 15975, 267, 1317, 540, 602, 267, 20994, 952, 713, 568, 1360, 31945, 2243, 267, 855, 594, 2731, 991, 948, 609, 621, 563, 4131, 781, 8263, 602, 930, 1560, 630, 5550, 4120, 267, 4009, 267, 715, 1790, 8432, 12455, 267, 3092, 13776, 6818, 538, 476, 273, 291, 1158, 538, 1964, 630, 7224, 11508, 267, 8904, 267, 3092, 4700, 543, 666, 581, 11884, 6410, 538, 1022, 4287, 563, 2252, 930, 11319, 1315, 17444, 3196, 786, 581, 4294, 547, 4099, 540, 2527, 267, 1287, 1152, 6037, 1049, 3196, 786, 2291, 267, 713, 2013, 568, 1360, 2312, 547, 803, 269, 1809, 1018, 952, 3196, 786, 581, 4294, 593, 519, 6316, 540, 1560, 286, 1548, 786, 581, 952, 3196, 786, 581, 4294, 693, 930, 5086, 547, 6316, 286, 594, 1174, 602, 713, 786, 4125, 513, 24364, 4229, 269, 1809, 875, 666, 594, 5173, 519, 4611, 6037, 1049, 6152, 538, 713, 2013, 888, 2080, 568, 3239, 267, 11744, 519, 1966, 269, 10414, 674, 273, 786, 711, 4125, 1022, 24364, 4229, 267, 594, 666, 5173, 2121, 3196, 32372, 674, 273, 264, 543, 1205, 10231, 6152, 269, 2353, 713, 2243, 568, 827, 674, 543, 4466, 4611, 6037, 1049, 6152, 1310, 4019, 540, 674, 269, 0, 1607, 5850, 6257, 875, 547, 14574, 2596, 4332, 11546, 987, 3631, 538, 4860, 29074, 525, 269, 13018, 267, 649, 786, 946, 519, 6986, 1532, 9500, 630, 312, 2544, 264, 1184, 543, 519, 3586, 268, 3433, 4332, 11546, 987, 1184, 630, 312, 2544, 476, 4572, 276, 282, 918, 754, 718, 476, 3707, 279, 282, 16399, 476, 3192, 276, 282, 715, 2465, 1696, 620, 269, 476, 1960, 275, 282, 681, 2335, 8403, 543, 18708, 476, 1960, 277, 282, 18708, 543, 681, 2335, 8403, 476, 1960, 278, 282, 670, 7238, 327, 3534, 476, 1001, 276, 1040, 634, 2625, 8494, 2065, 21370, 2203, 568, 2016, 585, 1142, 5057, 540, 713, 5850, 269, 2991, 1142, 2203, 568, 9138, 267, 596, 786, 7447, 884, 857, 566, 543, 14486, 3928, 1210, 4460, 990, 5832, 22757, 30408, 630, 10157, 10157, 1040, 7053, 267, 596, 786, 7447, 519, 8589, 10171, 540, 519, 2203, 543, 6218, 519, 3448, 1489, 1210, 7345, 525, 2188, 563, 2791, 1058, 1224, 1101, 519, 4985, 547, 667, 1392, 2305, 15580, 6480, 11582, 5850, 267, 799, 6941, 519, 3069, 543, 3947, 930, 2489, 7650, 540, 29159, 2557, 16759, 563, 1103, 713, 3296, 267, 649, 786, 3802, 998, 28408, 513, 6986, 1532, 9500, 1184, 2203, 543, 21501, 519, 884, 857, 566, 2557, 269, 3973, 267, 649, 786, 3136, 676, 21501, 519, 8589, 10171, 540, 519, 2203, 865, 602, 649, 666, 1685, 2203, 6476, 269, 634, 3296, 827, 519, 4332, 11546, 987, 1184, 786, 581, 1447, 2143, 1317, 621, 786, 1628, 909, 593, 713, 3296, 563, 763, 14724, 4839, 4221, 2203, 568, 519, 6986, 1532, 9500, 1184, 4330, 676, 962, 2544, 630, 4572, 276, 1040, 7201, 713, 2203, 267, 649, 8263, 693, 1022, 8216, 538, 942, 267, 1169, 22871, 814, 519, 1482, 884, 857, 566, 2557, 267, 4399, 14433, 10608, 769, 922, 14724, 1106, 267, 519, 884, 857, 566, 2557, 3788, 3586, 936, 942, 269, 1306, 513, 1267, 267, 519, 7996, 942, 1063, 884, 857, 566, 2621, 568, 12825, 267, 1141, 519, 2557, 540, 519, 12825, 3892, 568, 519, 1587, 540, 519, 1297, 540, 31607, 1899, 1137, 18121, 333, 259, 264, 693, 602, 942, 543, 519, 884, 857, 566, 2557, 281, 1269, 333, 315, 14433, 259, 630, 312, 2544, 476, 4572, 276, 282, 25548, 748, 476, 1220, 272, 282, 670, 7238, 327, 3534, 476, 1001, 275, 1040, 634, 6986, 1532, 9500, 4839, 4221, 2203, 1281, 711, 1450, 585, 22871, 14486, 630, 328, 4318, 1421, 519, 14486, 2557, 4399, 14153, 284, 271, 259, 1040, 1717, 267, 519, 2203, 5673, 593, 513, 2034, 9936, 267, 4399, 24838, 8961, 799, 568, 519, 5506, 540, 10386, 513, 2249, 538, 519, 1459, 942, 269, 898, 849, 5673, 593, 519, 942, 540, 519, 1376, 540, 519, 1184, 267, 2436, 602, 568, 519, 5169, 942, 610, 3597, 2085, 269, 4475, 267, 519, 2625, 8494, 2065, 21370, 2203, 540, 519, 6986, 1532, 9500, 1184, 568, 3833, 2241, 267, 1141, 519, 4767, 942, 3529, 23289, 543, 6843, 6502, 616, 19585, 593, 519, 884, 857, 566, 2557, 267, 10386, 5506, 267, 543, 3597, 2085, 630, 1916, 2171, 666, 1039, 21712, 2497, 547, 713, 2203, 543, 2272, 585, 10462, 538, 519, 1871, 540, 519, 884, 857, 566, 2557, 676, 11093, 513, 5409, 335, 1874, 593, 4399, 14433, 259, 630, 1040, 634, 21370, 3631, 538, 543, 6542, 519, 16134, 540, 519, 962, 2544, 2203, 269, 11086, 267, 519, 6986, 4332, 2203, 568, 1175, 513, 2027, 2013, 540, 519, 4332, 11546, 987, 1184, 267, 1141, 519, 14486, 2557, 630, 20200, 1227, 20922, 4399, 14153, 259, 264, 568, 513, 3586, 6843, 609, 519, 1871, 476, 271, 563, 2690, 713, 3635, 267, 649, 786, 14574, 513, 962, 2544, 2203, 267, 971, 602, 519, 884, 857, 566, 2557, 568, 513, 32094, 6843, 267, 6537, 689, 513, 561, 1758, 5436, 3892, 607, 538, 1547, 769, 513, 28662, 5943, 267, 649, 616, 5461, 538, 21501, 519, 17911, 5506, 540, 4399, 14433, 259, 2016, 602, 649, 7747, 513, 942, 3529, 563, 1103, 713, 1383, 267, 649, 723, 513, 18105, 4094, 344, 540, 476, 22001, 28516, 269, 1284, 616, 8156, 519, 942, 3529, 4399, 11679, 328, 259, 607, 606, 8343, 267, 3976, 28728, 532, 519, 2203, 609, 606, 4767, 1871, 269, 634, 942, 3529, 649, 616, 14555, 519, 1184, 593, 568, 3144, 689, 519, 2079, 676, 13804, 639, 517, 6363, 867, 543, 32572, 630, 1001, 273, 1040, 5015, 267, 972, 616, 5111, 476, 3607, 278, 4330, 28516, 2249, 267, 865, 649, 786, 4368, 519, 9936, 4399, 24838, 259, 547, 1269, 22001, 270, 3607, 278, 259, 563, 414, 485, 357, 634, 2407, 962, 2544, 21524, 601, 20487, 568, 538, 519, 3758, 1572, 454, 24375, 676, 2542, 538, 519, 4767, 3529, 563, 307, 26013, 1224, 307, 4181, 2891, 11907, 270, 1440, 23660, 4671, 872, 269, 10811, 5602, 5804, 713, 3529, 267, 649, 666, 1205, 930, 5363, 4632, 912, 339, 1314, 320, 26013, 570, 6745, 1314, 320, 4590, 12234, 267, 649, 666, 3355, 1125, 513, 4756, 585, 938, 6152, 540, 7575, 543, 21697, 912, 332, 7174, 815, 21070, 300, 7174, 3890, 21697, 815, 21070, 12507, 6002, 4590, 763, 2203, 649, 616, 28408, 1152, 814, 1614, 9136, 454, 14061, 1284, 666, 14574, 519, 4332, 2557, 4399, 14433, 8961, 519, 454, 11743, 543, 3044, 11539, 540, 519, 561, 1758, 5436, 5409, 335, 1874, 593, 4399, 14433, 259, 2676, 663, 519, 19585, 21341, 540, 519, 1079, 6724, 782, 538, 835, 1899, 540, 454, 19689, 318, 3433, 318, 11743, 26013, 23692, 263, 23692, 263, 3607, 278, 270, 273, 264, 1315, 570, 269, 10174, 21848, 3890, 3738, 4332, 318, 3433, 5334, 323, 26013, 476, 271, 269, 6812, 278, 28147, 4332, 318, 3433, 9625, 546, 333, 299, 1758, 5436, 263, 11743, 284, 19689, 318, 3433, 318, 11743, 29679, 323, 284, 19689, 318, 3433, 5334, 323, 994, 2080, 267, 519, 32094, 6843, 1572, 454, 19689, 318, 3433, 4564, 519, 884, 857, 566, 454, 19689, 318, 3433, 5334, 323, 616, 519, 1991, 454, 11743, 543, 1991, 3044, 11539, 267, 6606, 269, 1284, 8359, 519, 1991, 1611, 454, 810, 602, 621, 568, 10704, 1472, 4767, 1297, 540, 2249, 454, 9217, 4318, 1421, 519, 4397, 1297, 540, 2249, 896, 513, 454, 312, 2544, 1184, 786, 3976, 581, 3160, 547, 519, 4767, 1297, 540, 2249, 264, 543, 513, 454, 335, 1874, 3044, 11539, 540, 476, 271, 269, 6812, 278, 28147, 799, 5932, 513, 561, 1758, 5436, 454, 23251, 9084, 609, 476, 4817, 260, 1991, 5506, 17364, 4010, 835, 1931, 540, 454, 332, 1725, 3363, 269, 1403, 596, 1616, 547, 2099, 811, 1991, 10462, 676, 2676, 324, 3052, 1421, 3850, 585, 1079, 9753, 540, 9588, 538, 454, 1492, 476, 4817, 260, 1991, 5506, 1287, 596, 666, 3274, 9062, 454, 2421, 513, 3815, 540, 476, 273, 563, 2414, 7447, 519, 1871, 540, 4399, 14433, 8961, 649, 3651, 513, 11556, 7271, 547, 454, 641, 4733, 593, 713, 6843, 269, 769, 4860, 29074, 525, 891, 14330, 10157, 10386, 6620, 616, 454, 21406, 7575, 269, 1284, 991, 547, 1711, 513, 6152, 540, 7575, 543, 649, 666, 798, 713, 454, 2421, 1210, 6152, 4994, 532, 543, 938, 840, 2987, 527, 658, 1242, 12055, 1807, 454, 14741, 269, 1284, 786, 454, 2224, 513, 18440, 1847, 593, 4399, 14433, 259, 1572, 454, 332, 7174, 6910, 263, 544, 341, 306, 7051, 6357, 9500, 318, 3433, 267, 14433, 284, 272, 25722, 2317, 284, 25152, 267, 7076, 284, 274, 264, 12467, 5978, 1991, 3661, 568, 602, 649, 723, 25541, 476, 22001, 856, 540, 476, 3607, 278, 2713, 929, 1493, 2249, 269, 1677, 2272, 585, 713, 649, 666, 1305, 519, 10386, 9936, 607, 513, 3586, 6843, 609, 513, 1871, 540, 476, 22001, 270, 3607, 278, 454, 24838, 26013, 570, 269, 660, 2354, 3890, 270, 3607, 278, 454, 12179, 32094, 4839, 4221, 1184, 1590, 581, 31411, 593, 513, 942, 602, 4564, 519, 1376, 540, 519, 1184, 269, 15380, 267, 713, 9936, 568, 519, 5169, 942, 543, 621, 568, 10924, 602, 519, 1184, 3323, 609, 835, 22871, 269, 4935, 267, 519, 5169, 540, 513, 4332, 11546, 987, 1184, 568, 519, 6843, 602, 568, 18577, 547, 519, 3597, 6843, 540, 519, 3529, 269, 1280, 12550, 5271, 1828, 776, 1239, 267, 3226, 1510, 1022, 25541, 15455, 267, 621, 568, 2352, 547, 946, 519, 5169, 942, 269, 1677, 13918, 713, 267, 649, 666, 2783, 593, 519, 2085, 540, 519, 3597, 676, 14322, 519, 1184, 3323, 609, 1079, 1899, 1137, 602, 1312, 22132, 693, 519, 942, 540, 519, 3597, 563, 2171, 666, 1205, 519, 1871, 585, 519, 3597, 689, 519, 13804, 639, 517, 6363, 867, 543, 32572, 630, 1001, 273, 264, 3529, 563, 10174, 22710, 26013, 570, 269, 10174, 21848, 4590, 3086, 649, 723, 782, 540, 519, 6724, 649, 991, 547, 14574, 519, 2407, 6986, 1532, 9500, 454, 16347, 269, 1284, 666, 3355, 1125, 519, 32094, 6843, 8204, 519, 942, 3529, 563, 9616, 602, 649, 1305, 519, 454, 14153, 9936, 547, 519, 3586, 1871, 454, 339, 22015, 872, 9625, 546, 333, 289, 7894, 10857, 10033, 284, 19689, 318, 3433, 267, 18665, 284, 271, 269, 271, 267, 11002, 334, 284, 24838, 267, 3597, 21848, 284, 10174, 22710, 267, 10386, 25618, 344, 6889, 684, 6134, 2580, 2783, 6889, 31162, 341, 2526, 2580, 26908, 284, 339, 1314, 320, 994, 2080, 649, 616, 21338, 519, 1871, 540, 519, 942, 3529, 547, 938, 4767, 3529, 689, 13804, 639, 517, 6363, 867, 543, 32572, 630, 1001, 273, 1916, 7661, 267, 649, 666, 1711, 513, 29683, 1843, 540, 938, 2898, 2203, 1210, 519, 454, 16347, 3890, 1599, 269, 3718, 10628, 3615, 616, 3355, 1242, 1210, 519, 454, 28072, 269, 901, 30193, 519, 3615, 1031, 676, 519, 1982, 547, 2196, 519, 454, 10157, 10157, 2079, 689, 519, 3982, 9136, 540, 938, 21370, 2203, 269, 634, 2203, 454, 4103, 10628, 3615, 2306, 621, 2653, 547, 960, 609, 519, 2203, 538, 454, 16579, 525, 513, 12109, 3899, 1472, 938, 2203, 667, 8980, 269, 5221, 938, 2203, 568, 513, 9859, 2676, 2329, 743, 545, 3113, 630, 6395, 294, 1070, 649, 1152, 991, 547, 2285, 519, 2203, 12109, 3899, 1599, 513, 454, 338, 17532, 6843, 543, 621, 1281, 519, 960, 547, 1265, 782, 519, 824, 9136, 998, 454, 332, 2096, 617, 601, 815, 2203, 6357, 9500, 318, 3433, 994, 16347, 3890, 1599, 21986, 525, 782, 540, 519, 4296, 543, 9060, 782, 540, 454, 1492, 9136, 649, 9138, 563, 2690, 938, 14330, 10157, 2079, 267, 649, 991, 547, 1305, 909, 513, 6152, 540, 21697, 547, 454, 13440, 867, 519, 2829, 540, 938, 4460, 990, 5832, 269, 634, 6895, 3252, 616, 782, 454, 265, 568, 519, 3552, 15258, 8204, 519, 6895, 1826, 563, 5575, 267, 649, 786, 3355, 1125, 519, 2203, 6895, 1210, 519, 454, 10818, 269, 901, 5932, 513, 1007, 6895, 4756, 602, 786, 3977, 519, 454, 560, 919, 585, 782, 2203, 6724, 950, 5293, 883, 513, 14330, 10157, 1599, 563, 3000, 6002, 6910, 263, 544, 333, 26329, 6600, 32327, 6889, 16059, 270, 1440, 23660, 318, 312, 2544, 28802, 2580, 2745, 2102, 284, 1015, 267, 3021, 1807, 815, 570, 5723, 264, 12467, 12234, 267, 1711, 513, 5496, 6895, 602, 786, 1867, 519, 2829, 540, 454, 14588, 322, 1881, 4632, 547, 519, 5496, 609, 454, 3000, 6002, 6910, 263, 544, 333, 306, 10547, 263, 2745, 2102, 284, 1911, 271, 267, 4332, 318, 3433, 264, 12467, 4415, 513, 4628, 9138, 2203, 267, 513, 1305 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 610, 5757, 267, 596, 786, 6157, 3605, 602, 7836, 2298, 942, 14964, 513, 11332, 2282, 707, 11332, 779, 6023, 321, 1513, 568, 1175, 1018, 596, 2154, 547, 5279, 707, 1560, 543, 547, 7340, 519, 2566, 543, 4160, 540, 519, 1554, 563, 763, 1034, 10423, 2601, 547, 2097, 547, 581, 811, 18164, 827, 519, 2640, 540, 15203, 568, 519, 2596, 18399, 621, 7727, 269, 645, 10884, 12662, 596, 538, 3346, 609, 10694, 782, 5991, 1823, 5784, 1169, 2582, 942, 596, 29465, 267, 543, 849, 519, 25695, 1198, 540, 519, 2842, 3842, 519, 4054, 666, 1491, 707, 2247, 1055, 519, 4948, 2152, 585, 513, 1906, 3764, 269, 645, 5390, 743, 532, 568, 11338, 513, 9735, 1514, 4305, 267, 799, 568, 3226, 4105, 952, 596, 2661, 538, 606, 1858, 602, 568, 1634, 585, 2101, 15203, 14797, 269, 1411, 666, 11886, 1007, 1004, 267, 1489, 824, 17919, 26348, 267, 607, 1134, 607, 3715, 513, 2557, 540, 1719, 538, 519, 11091, 540, 938, 4259, 676, 5887, 1005, 856, 593, 519, 11507, 609, 707, 17919, 563, 2467, 616, 10123, 930, 1072, 2640, 1644, 547, 519, 2799, 2534, 269, 20676, 532, 3096, 513, 16854, 1505, 547, 2539, 2566, 543, 4160, 267, 2566, 543, 4160, 267, 543, 782, 540, 519, 824, 8801, 2427, 2360, 602, 2713, 606, 14432, 6197, 666, 2014, 269, 20676, 532, 666, 2569, 707, 1973, 2604, 267, 3986, 707, 4761, 1062, 267, 3986, 707, 2295, 3902, 267, 607, 1134, 607, 948, 596, 6749, 2597, 269, 2755, 1082, 2043, 4783, 585, 2168, 8516, 4128, 267, 1382, 1353, 814, 2965, 7000, 602, 6296, 31610, 666, 10123, 2539, 519, 3463, 540, 15847, 2152, 543, 849, 9025, 2068, 269, 20676, 532, 585, 3635, 568, 606, 11791, 2534, 602, 666, 4324, 707, 2247, 267, 1560, 267, 543, 6891, 563, 289, 10884, 267, 10123, 1572, 31610, 610, 8806, 15203, 267, 568, 5097, 1210, 1875, 2173, 19318, 1242, 21891, 585, 3560, 267, 18883, 267, 15904, 267, 610, 23242, 2238, 269, 8409, 3238, 538, 31610, 616, 2356, 5219, 547, 15217, 607, 968, 321, 5390, 743, 1235, 892, 610, 968, 321, 10105, 6100, 589, 1906, 824, 2474, 602, 616, 1500, 946, 540, 547, 2491, 1004, 602, 4783, 616, 968, 7094, 619, 5608, 968, 5570, 26407, 5608, 610, 968, 19769, 619, 9731, 288, 2101, 5413, 540, 13770, 743, 532, 568, 922, 1970, 1198, 593, 519, 1604, 269, 22702, 547, 519, 3154, 602, 606, 18914, 3096, 547, 2196, 267, 519, 12526, 538, 2011, 543, 849, 1216, 3812, 676, 606, 10081, 568, 1454, 4389, 609, 15203, 269, 634, 5790, 568, 849, 9738, 5266, 22619, 344, 2094, 972, 568, 1100, 3282, 2813, 610, 1379, 1031, 267, 1175, 24106, 607, 1134, 607, 11036, 676, 519, 6075, 269, 1452, 5013, 2059, 609, 519, 1082, 1072, 543, 9716, 5383, 1118, 621, 2312, 1946, 31610, 568, 865, 23163, 676, 513, 2603, 540, 4892, 563, 289, 10884, 568, 606, 5140, 1505, 547, 2087, 707, 2949, 1072, 269, 4518, 719, 814, 2965, 9672, 547, 581, 1851, 519, 1034, 1271, 3334, 547, 513, 2635, 543, 7059, 1259, 540, 2713, 269, 20676, 532, 711, 1152, 7727, 513, 1970, 27780, 716, 267, 1970, 8082, 1106, 540, 3635, 2943, 621, 666, 11338, 1831, 851, 540, 606, 782, 268, 19925, 3635, 1982, 563, 3528, 2921, 851, 538, 2834, 31610, 596, 666, 2569, 707, 3463, 585, 9025, 2068, 269, 20676, 532, 24506, 519, 1981, 540, 9025, 2068, 607, 1134, 607, 9025, 2068, 1317, 621, 5283, 1206, 513, 2603, 540, 8477, 543, 3123, 707, 2295, 547, 1599, 9875, 982, 621, 7363, 1281, 269, 645, 10884, 10123, 2337, 2569, 1164, 1973, 2604, 543, 849, 6971, 1164, 1973, 4006, 1377, 2157, 269, 20676, 532, 666, 849, 6175, 8501, 607, 1134, 607, 2057, 2042, 971, 607, 8482, 267, 15847, 2152, 267, 4617, 2287, 540, 7633, 543, 849, 2597, 2042, 563, 305, 719, 710, 15203, 666, 1832, 596, 3514, 607, 1134, 607, 538, 3337, 543, 849, 6175, 707, 8458, 540, 2870, 1082, 1713, 3676, 269, 645, 10884, 2337, 6175, 8501, 5232, 267, 24506, 1973, 2604, 267, 543, 13515, 1164, 1973, 4006, 1377, 2157, 689, 26389, 269, 645, 10884, 568, 513, 4389, 1764, 267, 4389, 2566, 543, 4160, 2186, 540, 15904, 269, 901, 2306, 31610, 606, 6099, 4305, 547, 14892, 609, 1453, 543, 849, 707, 7622, 563, 5278, 1004, 8044, 602, 31610, 568, 711, 513, 4389, 1198, 610, 3635, 269, 634, 7521, 814, 1044, 5571, 585, 930, 942, 269, 2755, 930, 4966, 598, 2017, 602, 15203, 568, 4389, 1764, 543, 513, 4389, 2566, 4305, 267, 1896, 4648, 2161, 602, 15203, 568, 513, 4570, 2168, 2534, 269, 634, 6571, 540, 1018, 12523, 607, 606, 3635, 814, 2097, 547, 581, 3063, 2352, 982, 2479, 1354, 5063, 563, 1103, 1931, 547, 6430, 952, 15203, 568, 513, 2168, 2534, 267, 596, 2154, 547, 2638, 856, 4010, 875, 596, 1131, 1118, 909, 707, 4948, 4626, 564, 762, 952, 596, 941, 1034, 532, 2693, 547, 11332, 547, 1599, 3079, 540, 2921, 519, 5721, 610, 1668, 269, 1403, 596, 941, 703, 2056, 547, 1491, 519, 5721, 267, 1491, 519, 25047, 1811, 2864, 982, 519, 12740, 267, 588, 2651, 607, 10353, 547, 1491, 519, 3454, 328, 267, 543, 25837, 538, 513, 13977, 3764, 3635, 538, 519, 10543, 267, 31610, 568, 1034, 2693, 711, 519, 1655, 4781, 269, 2201, 519, 824, 1688, 267, 952, 596, 941, 4058, 547, 4783, 547, 1599, 267, 6220, 31610, 883, 707, 4948, 20786, 786, 11613, 5351, 3986, 707, 9716, 269, 3557, 290, 5670, 626, 24211, 289, 8039, 454, 2691, 6266, 540, 1004, 2015, 3635, 267, 789, 2015, 4881, 610, 4881, 269, 16480, 267, 972, 616, 1079, 1913, 602, 991, 547, 581, 3773, 547, 602, 24920, 281, 31610, 269, 645, 10884, 2488, 513, 8748, 1505, 547, 1205, 707, 15904, 1510, 4881, 610, 6972, 269, 2334, 779, 1946, 513, 2603, 540, 1004, 616, 4946, 21891, 547, 741, 15904, 6296, 269, 0, 1103, 713, 2376, 267, 596, 786, 1451, 827, 533, 532, 4971, 543, 721, 1137, 563, 303, 532, 6763, 585, 13268, 564, 5769, 610, 3955, 9539, 564, 1740, 23108, 704, 269, 898, 568, 513, 4971, 547, 2638, 519, 14479, 1063, 1079, 6191, 269, 2353, 519, 1062, 8098, 1231, 917, 713, 4971, 267, 543, 621, 568, 513, 851, 540, 741, 1272, 563, 9213, 267, 649, 616, 2469, 547, 1865, 519, 533, 532, 4971, 543, 721, 1137, 563, 1692, 1677, 6744, 623, 532, 19405, 2382, 6817, 2201, 2659, 10724, 454, 2252, 596, 1616, 547, 2638, 519, 533, 532, 4528, 799, 568, 8704, 593, 707, 3684, 1287, 596, 666, 946, 519, 2630, 4971, 563, 9827, 267, 596, 666, 1294, 519, 3977, 538, 519, 2630, 4605, 563, 1692, 1677, 2422, 623, 532, 16710, 1656, 2974, 1137, 454, 763, 533, 532, 4971, 3096, 15096, 6573, 630, 25542, 6513, 24606, 16257, 264, 547, 6494, 606, 15096, 6573, 16079, 5048, 547, 519, 1880, 3684, 543, 952, 602, 3684, 630, 10676, 264, 568, 2139, 1287, 621, 15920, 15096, 6573, 16253, 5048, 563, 2252, 596, 1616, 547, 2638, 519, 8244, 540, 513, 3684, 1287, 596, 666, 946, 602, 3684, 779, 7379, 2232, 630, 4572, 269, 12739, 269, 2420, 269, 15686, 264, 610, 7746, 3984, 4067, 630, 514, 1250, 2013, 621, 568, 7746, 4905, 1040, 1924, 519, 4971, 786, 1413, 899, 607, 519, 2630, 563, 268, 1295, 281, 5934, 942, 547, 1205, 513, 3210, 454, 268, 1285, 326, 281, 3328, 942, 547, 1205, 6114, 454, 268, 3193, 281, 5021, 942, 547, 1205, 513, 3210, 454, 9827, 267, 596, 666, 1449, 519, 2199, 27427, 270, 7709, 269, 1656, 596, 666, 1449, 519, 2199, 10676, 3984, 4067, 610, 519, 8520, 3724, 2232, 563, 4517, 596, 666, 849, 946, 519, 533, 532, 476, 271, 4971, 547, 533, 532, 519, 2199, 10676, 454, 1692, 1677, 17797, 634, 7089, 2986, 623, 902, 454, 604, 596, 1616, 547, 4188, 519, 533, 902, 1287, 596, 666, 946, 519, 910, 322, 4781, 269, 1656, 849, 596, 666, 5581, 519, 1297, 540, 533, 532, 6835, 269, 1280, 1383, 267, 952, 596, 1616, 547, 6494, 476, 274, 533, 902, 1287, 1826, 607, 519, 2630, 563, 4771, 910, 322, 476, 274, 476, 4572, 269, 12739, 269, 2420, 269, 15686, 454, 1692, 1677, 24627, 2060, 623, 532, 16710, 454, 2252, 596, 1616, 547, 6360, 609, 519, 533, 532, 4971, 1797, 596, 1616, 547, 6494, 519, 21168, 607, 4166, 607, 2009, 1287, 596, 666, 946, 519, 910, 325, 4781, 269, 1924, 519, 4971, 786, 1413, 899, 607, 519, 2630, 563, 4771, 910, 325, 24440, 2593, 454, 1103, 713, 5850, 267, 596, 4121, 827, 533, 532, 4971, 543, 721, 1137, 269, 1924, 952, 596, 723, 1022, 2055, 1287, 596, 666, 2307, 538, 519, 6085, 3296, 563, 9827, 267, 596, 949, 581, 899, 519, 2630, 4930, 269, 0, 763, 11642, 713, 942, 454, 2026, 519, 14042, 1476, 25419, 5928, 1631, 3413, 997, 1154, 8828, 4993, 7618, 721, 267, 519, 1533, 814, 1279, 1044, 7925, 547, 27337, 881, 3735, 5498, 1783, 11642, 269, 634, 4999, 540, 3819, 2175, 267, 726, 550, 3814, 4492, 543, 562, 7360, 12798, 814, 15054, 513, 3463, 585, 607, 1279, 607, 1004, 723, 5030, 1934, 269, 11569, 267, 649, 4076, 1185, 938, 2671, 540, 15265, 11642, 538, 519, 9087, 1054, 1571, 543, 7733, 540, 519, 23683, 21600, 563, 2026, 811, 543, 811, 5321, 723, 1044, 3710, 20991, 543, 20991, 883, 3595, 2197, 267, 519, 8594, 814, 1831, 8167, 958, 3152, 269, 1411, 8910, 1589, 1004, 1131, 8275, 602, 2713, 856, 538, 519, 1647, 540, 1804, 5666, 540, 12318, 1043, 1570, 568, 5906, 267, 855, 2199, 8041, 1832, 1237, 1324, 3785, 267, 9367, 1832, 2679, 873, 543, 11570, 1832, 9140, 873, 563, 10190, 972, 779, 2518, 8337, 269, 1306, 476, 2568, 3687, 2373, 4080, 713, 3018, 267, 519, 1297, 540, 803, 8615, 1922, 2231, 538, 519, 1977, 4639, 814, 2799, 13497, 538, 2487, 1296, 269, 18599, 540, 519, 476, 1015, 10782, 3595, 12405, 538, 1686, 723, 7018, 2094, 476, 1960, 280, 269, 634, 3259, 540, 519, 3595, 4005, 814, 2799, 676, 476, 4281, 2395, 538, 1175, 519, 2250, 8717, 269, 1635, 713, 942, 540, 1032, 267, 972, 568, 1100, 7509, 2451, 538, 2371, 899, 1346, 8781, 538, 8828, 4993, 267, 543, 789, 18723, 909, 899, 1957, 563, 763, 20451, 568, 519, 18914, 602, 2636, 721, 547, 2661, 856, 538, 519, 2197, 543, 862, 1393, 547, 960, 538, 519, 2749, 568, 849, 513, 3119, 2014, 540, 2518, 8337, 563, 2171, 991, 547, 2015, 519, 4220, 543, 4539, 540, 6552, 30832, 331, 267, 22836, 540, 1646, 2484, 2476, 689, 23001, 18017, 2533, 269, 634, 1655, 649, 666, 4126, 585, 693, 713, 1448, 568, 602, 519, 11642, 616, 4166, 8659, 543, 1004, 666, 2132, 547, 741, 5321, 1765, 29006, 945, 1869, 723, 5321, 269, 667, 732, 649, 849, 4126, 602, 513, 3992, 814, 1044, 4121, 267, 543, 602, 8828, 2836, 4613, 2103, 1765, 718, 2836, 4613, 2103, 267, 585, 602, 2339, 1765, 15884, 1376, 1818, 5923, 518, 5079, 827, 1141, 547, 1628, 543, 2661, 286, 0, 2252, 596, 2461, 4743, 16397, 827, 950, 543, 875, 547, 2911, 547, 707, 1126, 827, 11648, 267, 1934, 779, 1018, 596, 991, 547, 917, 827, 519, 9238, 269, 6097, 547, 519, 4065, 4886, 4741, 779, 16473, 31421, 11036, 267, 11648, 568, 513, 1106, 540, 3929, 610, 2168, 6057, 602, 814, 1614, 10747, 4162, 269, 272, 563, 4504, 30102, 1700, 513, 4439, 569, 30242, 547, 10413, 2576, 269, 273, 563, 3725, 701, 730, 1700, 513, 4439, 569, 1419, 9072, 519, 1482, 6408, 9846, 269, 274, 563, 20175, 1955, 25270, 1700, 513, 4439, 569, 786, 2824, 9601, 1759, 593, 945, 789, 13498, 607, 7925, 563, 1607, 666, 581, 1759, 593, 1514, 610, 2168, 4162, 10422, 1861, 338, 666, 948, 676, 7234, 2635, 2994, 585, 14775, 547, 11648, 971, 607, 9427, 2933, 689, 519, 3510, 543, 6158, 547, 513, 11967, 2937, 827, 1018, 5949, 269, 3080, 540, 519, 1034, 1271, 2081, 3237, 666, 2061, 11648, 568, 547, 5000, 741, 1126, 1370, 334, 8362, 9718, 2576, 945, 779, 1373, 13032, 1221, 269, 2691, 1453, 7198, 11648, 543, 798, 4986, 267, 621, 15920, 519, 5048, 602, 5739, 543, 16160, 2623, 2509, 1776, 1268, 786, 581, 7109, 730, 7868, 5377, 1899, 888, 763, 1101, 1900, 547, 5329, 707, 1126, 2922, 267, 2436, 538, 16512, 610, 2228, 267, 568, 1818, 2386, 789, 917, 519, 3390, 0, 17098, 267, 594, 1705, 513, 2978, 4603, 1141, 594, 3576, 513, 476, 276, 299, 6077, 1500, 540, 930, 1570, 602, 25904, 3154, 3330, 543, 3976, 31136, 899, 606, 9678, 1062, 630, 14508, 629, 1738, 1040, 594, 1287, 29253, 3154, 689, 9625, 3445, 330, 25508, 547, 909, 547, 476, 5611, 737, 25508 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 585, 782, 1269, 339, 10608, 2201, 519, 824, 1688, 267, 689, 519, 13429, 267, 649, 723, 4399, 27923, 3709, 333, 3709, 330, 3686, 263, 339, 264, 1422, 21375, 1422, 27923, 6025, 7751, 585, 782, 1269, 339, 10608, 4475, 2676, 11377, 27923, 18155, 339, 32499, 346, 293, 3686, 263, 339, 21174, 27923, 6025, 264, 1547, 16465, 28733, 569, 267, 4399, 27923, 6025, 7751, 568, 513, 524, 8807, 269, 14597, 602, 922, 7222, 546, 8807, 269, 568, 1269, 293, 10608, 1635, 519, 22464, 11532, 267, 14497, 476, 1015, 269, 274, 269, 274, 267, 649, 1205, 4399, 8663, 346, 293, 13157, 293, 10608, 901, 2982, 602, 1269, 293, 259, 568, 519, 1152, 2009, 4617, 3970, 540, 519, 1269, 293, 3709, 333, 23201, 4475, 2676, 2330, 293, 3709, 333, 348, 1422, 16524, 21375, 674, 3709, 268, 28021, 763, 1739, 1351, 3326, 776, 568, 7525, 563, 290, 3036, 5357, 299, 14473, 476, 1015, 269, 275, 269, 272, 630, 299, 5271, 344, 15364, 11532, 994, 2330, 311, 3709, 333, 348, 1422, 21375, 346, 25452, 323, 348, 2473, 1422, 3667, 2715, 952, 543, 1152, 952, 7684, 1422, 27923, 346, 311, 3709, 333, 3686, 263, 339, 264, 1422, 21375, 1422, 27923, 3709, 311, 12917, 339, 264, 1422, 3667, 2715, 585, 782, 7684, 512, 1422, 3667, 2715, 269, 476, 15732, 1012, 476, 14756, 509, 18777, 350, 28786, 19540, 503, 347, 421, 360, 502, 419, 511, 487, 418, 28187, 27064, 485, 18777, 374, 30853, 4970, 504, 28786, 19540, 503, 28723, 17438, 7869, 28786, 26033, 481, 347, 9824, 566, 1063, 8090, 540, 513, 678, 18192, 269, 543, 16755, 540, 922, 524, 8807, 780, 763, 5347, 1145, 540, 519, 524, 8807, 269, 4399, 27923, 6025, 7751, 693, 1269, 339, 284, 271, 259, 568, 5702, 1644, 547, 875, 1082, 8090, 602, 1269, 311, 259, 19299, 267, 543, 8754, 547, 519, 2766, 2623, 540, 519, 546, 8807, 269, 540, 1269, 311, 16859, 15578, 3036, 4932, 476, 1015, 269, 276, 269, 272, 1403, 1269, 292, 347, 311, 347, 3867, 333, 348, 283, 315, 13727, 8961, 1287, 4399, 27923, 3867, 263, 333, 264, 12917, 339, 7751, 6818, 543, 568, 513, 25144, 6024, 1599, 2016, 676, 454, 11377, 27923, 3867, 263, 330, 264, 12917, 339, 6661, 328, 3867, 330, 348, 661, 13375, 11583, 3867, 330, 348, 552, 3867, 328, 512, 2473, 4153, 2431, 6661, 328, 3867, 330, 348, 1422, 842, 3709, 10559, 13727, 23685, 13727, 348, 1535, 3867, 330, 348, 552, 3867, 328, 512, 1535, 348, 546, 674, 3287, 1070, 1422, 15153, 737, 284, 271, 267, 272, 267, 273, 267, 1422, 24126, 267, 562, 1547, 16465, 1103, 1880, 2676, 11377, 27923, 3867, 263, 330, 264, 12917, 271, 6661, 328, 3867, 330, 348, 661, 2473, 3867, 330, 9574, 1422, 15153, 737, 284, 271, 267, 272, 267, 1422, 24126, 267, 562, 16465, 27893, 269, 8074, 602, 454, 11377, 2765, 3189, 27923, 6025, 266, 327, 9984, 315, 27923, 6025, 20972, 327, 18098, 842, 3709, 10559, 13727, 23685, 13727, 348, 552, 3867, 328, 512, 1535, 348, 1422, 2765, 346, 324, 3867, 328, 554, 1535, 18511, 272, 2410, 327, 348, 546, 674, 3287, 264, 1547, 16465, 8794, 19748, 2742, 476, 1015, 269, 276, 269, 272, 267, 519, 2076, 8681, 568, 13856, 676, 1269, 347, 343, 347, 10608, 1924, 519, 1101, 12045, 540, 4399, 27923, 6025, 7751, 6818, 676, 519, 13856, 19427, 11532, 267, 543, 568, 2016, 676, 454, 11377, 27923, 17353, 18905, 12917, 339, 21174, 3916, 2715, 327, 1422, 21375, 476, 271, 348, 1422, 2765, 3189, 27923, 6025, 266, 327, 9984, 315, 27923, 6025, 20972, 327, 13157, 328, 1422, 842, 346, 10559, 13727, 23685, 13727, 348, 1535, 552, 3867, 328, 512, 1535, 348, 546, 674, 3287, 14638, 454, 763, 7833, 15364, 540, 4399, 27923, 17353, 18905, 12917, 339, 7751, 5205, 689, 454, 11377, 3847, 24689, 27923, 17353, 18905, 12917, 339, 10954, 23169, 9984, 315, 27923, 17353, 18905, 12917, 339, 9385, 2431, 347, 7807, 3847, 24689, 842, 3709, 10559, 13727, 23685, 13727, 348, 1535, 552, 3867, 328, 512, 1535, 4153, 3847, 16216, 3867, 328, 512, 1422, 23169, 18511, 272, 9368, 264, 546, 674, 3287, 9385, 2431, 347, 1422, 21375, 476, 271, 16465, 2421, 519, 13856, 19427, 11532, 269, 4475, 267, 519, 25195, 568, 3020, 585, 1269, 333, 284, 272, 10608, 634, 2489, 2013, 5205, 676, 15632, 563, 288, 9864, 598, 2091, 568, 2016, 676, 519, 1739, 11532, 563, 15578, 3036, 4932, 476, 1015, 269, 276, 269, 273, 1403, 4399, 27923, 3867, 263, 333, 264, 12917, 271, 7751, 6818, 543, 568, 13113, 585, 930, 1269, 333, 284, 272, 267, 273, 267, 1422, 24126, 8961, 1287, 1269, 292, 347, 311, 347, 3867, 333, 348, 283, 315, 13727, 259, 952, 1269, 333, 259, 568, 1256, 269, 630, 3519, 8019, 267, 1269, 292, 347, 311, 347, 3867, 333, 268, 272, 348, 283, 315, 13727, 259, 952, 1269, 333, 259, 568, 9642, 24355, 1012, 476, 14756, 509, 18777, 350, 28786, 19540, 503, 347, 421, 360, 502, 419, 511, 487, 418, 28187, 27064, 485, 18777, 374, 30853, 4970, 504, 28786, 19540, 503, 28723, 17438, 7869, 28786, 26033, 481, 30054, 5271, 344, 8033, 8462, 14497, 692, 4041, 300, 7246, 476, 1015, 269, 275, 269, 272, 13127, 363, 373, 30678, 10524, 375, 12916, 499, 13601, 26175, 491, 285, 271, 8147, 476, 16043, 495, 10524, 361, 20069, 692, 4501, 360, 6629, 13601, 26175, 491, 13601, 26175, 491, 263, 272, 6629, 395, 486, 263, 12571, 357, 4297, 323, 12571, 357, 284, 273, 13601, 26175, 491, 6629, 4501, 360, 6629, 13601, 26175, 491, 13601, 26175, 491, 25520, 25520, 13601, 4970, 500, 12571, 357, 311, 323, 12571, 357, 1109, 284, 273, 13601, 26175, 491, 6629, 25520, 263, 4501, 360, 6629, 13601, 26175, 491, 13601, 26175, 491, 25520, 13601, 4970, 500, 12571, 357, 311, 323, 12571, 357, 264, 1109, 27818, 13200, 365, 21382, 490, 30006, 498, 16533, 376, 27936, 419, 494, 484, 1109, 1109, 284, 273, 13601, 26175, 491, 6629, 25520, 263, 4501, 360, 6629, 13601, 26175, 491, 13601, 26175, 491, 418, 509, 494, 29830, 358, 22397, 350, 263, 12571, 357, 311, 264, 323, 12571, 357, 264, 1109, 284, 273, 13601, 26175, 491, 6629, 25520, 263, 273, 418, 366, 350, 20069, 22397, 350, 263, 13601, 26175, 491, 311, 264, 311, 264, 1109, 284, 273, 13601, 26175, 491, 25520, 263, 272, 6629, 418, 366, 350, 20069, 22397, 350, 263, 13601, 26175, 491, 311, 264, 13601, 26175, 491, 311, 264, 1109, 19749, 354, 273, 13601, 26175, 491, 25520, 263, 272, 6629, 418, 366, 350, 20069, 22397, 350, 263, 13601, 26175, 491, 311, 264, 13601, 26175, 491, 311, 264, 13601, 4970, 500, 347, 13601, 26175, 491, 311, 347, 285, 273, 1109, 19749, 354, 273, 13601, 26175, 491, 25520, 263, 272, 6629, 1321, 264, 13601, 4970, 500, 347, 13601, 26175, 491, 311, 347, 285, 273, 1109, 19749, 354, 13601, 26175, 491, 419, 352, 371, 263, 347, 13601, 26175, 491, 311, 347, 285, 273, 2020, 1012, 476, 14756, 509, 18777, 350, 28786, 19540, 503, 347, 421, 360, 502, 419, 511, 487, 418, 28187, 27064, 485, 18777, 374, 30853, 4970, 504, 28786, 19540, 503, 28723, 17438, 7869, 28786, 26033, 481, 23277, 558, 757, 540, 678, 18192, 4732, 543, 16755, 540, 741, 524, 8807, 4732, 692, 263, 13601, 264, 13127, 28187, 31563, 311, 333, 20681, 323, 311, 31236, 8147, 5236, 376, 486, 23966, 8147, 293, 333, 414, 509, 373, 293, 31236, 24724, 8147, 22614, 482, 370, 12571, 492, 395, 486, 333, 263, 12571, 357, 264, 20681, 395, 486, 31236, 263, 12571, 357, 264, 28098, 19867, 478, 20069, 32512, 12571, 357, 563, 263, 14241, 264, 13127, 28187, 31563, 395, 486, 333, 263, 12571, 357, 264, 20681, 395, 486, 263, 12571, 357, 264, 8147, 13127, 23687, 395, 486, 263, 12571, 357, 264, 15159, 13601, 420, 485, 368, 7511, 341, 267, 28859, 480, 352, 18263, 486, 11858, 502, 21928, 22047, 678, 341, 311, 4970, 492, 17093, 293, 30244, 21550, 371, 311, 333, 20681, 27818, 23966, 8147, 293, 333, 414, 509, 373, 293, 24724, 8147, 13127, 23687, 395, 486, 15159, 32647, 311, 780, 7277, 454, 9217, 264, 476, 13644, 479, 13107, 492, 23521, 354, 420, 485, 359, 20069, 419, 499, 490, 418, 498, 370, 10533, 505, 27936, 419, 494, 484, 25707, 263, 11590, 490, 264, 12486, 27064, 364, 21928, 417, 479, 485, 18777, 378, 395, 486, 333, 263, 12571, 357, 264, 20681, 395, 486, 263, 12571, 357, 264, 8147, 22614, 482, 370, 12571, 492, 395, 486, 263, 12571, 357, 264, 21928, 476, 271, 13127, 353, 482, 13213, 508, 14756, 511, 12486, 10524, 492, 19764, 499, 419, 494, 484, 476, 1015, 269, 275, 269, 273, 8147, 293, 333, 23523, 486, 27381, 356, 12486, 692, 395, 486, 293, 349, 263, 12571, 357, 6661, 395, 486, 263, 12571, 357, 6393, 293, 333, 414, 509, 373, 293, 6629, 692, 311, 333, 20681, 323, 311, 1109, 25051, 497, 4970, 498, 10524, 483, 25051, 497, 1109, 395, 486, 311, 333, 263, 12571, 357, 264, 20681, 395, 486, 311, 263, 12571, 357, 264, 1109, 28098, 19867, 478, 20069, 32512, 1109, 12571, 357, 780, 1012, 476, 14756, 509, 18777, 350, 28786, 19540, 503, 347, 421, 360, 502, 419, 511, 487, 418, 28187, 27064, 485, 18777, 374, 30853, 4970, 504, 28786, 19540, 503, 28723, 17438, 7869, 28786, 26033, 481, 347, 9824, 566, 1063, 8090, 540, 513, 678, 18192, 269, 543, 16755, 540, 922, 524, 8807, 780, 22396, 7511, 23946, 367, 418, 375, 495, 18021, 355, 395, 486, 263, 12571, 357, 264, 21928, 12571, 357, 284, 271, 4970, 492, 20069, 14035, 504, 16533, 495, 28793, 10254, 375, 21382, 484, 10254, 485, 25203, 372, 10429, 367, 311, 418, 489, 354, 20069, 8147, 18713, 510, 27882, 353, 28098, 17093, 476, 7511, 16533, 378, 421, 481, 357, 27310, 20992, 311, 780, 395, 486, 263, 28996, 7565, 12571, 357, 6661, 13601, 4970, 500, 28996, 25520, 11583, 28996, 25520, 13601, 4970, 500, 12571, 357, 311, 6661, 13601, 4970, 500, 28996, 4501, 360, 6629, 31236, 31236, 311, 28996, 25520, 13601, 4970, 500, 12571, 357, 311, 323, 293, 11583, 1070, 28996, 284, 271, 267, 272, 267, 273, 267, 2507, 267, 333, 780, 395, 486, 263, 28996, 7565, 271, 6661, 13601, 4970, 500, 28996, 25520, 311, 28996, 267, 28996, 284, 271, 267, 272, 267, 2507, 267, 333, 692, 395, 486, 263, 12571, 357, 266, 295, 264, 6629, 395, 486, 263, 12571, 357, 264, 295, 284, 4501, 360, 6629, 31236, 31236, 25520, 13601, 4970, 500, 12571, 357, 311, 25520, 13601, 4970, 500, 295, 311, 6629, 272, 295, 323, 293, 11583, 6393, 395, 486, 12664, 263, 12571, 357, 6661, 22909, 501, 295, 20681, 271, 395, 486, 263, 12571, 357, 266, 295, 264, 6629, 395, 486, 263, 12571, 357, 264, 295, 284, 13601, 4970, 500, 4501, 360, 6629, 31236, 31236, 311, 25520, 13601, 4970, 500, 12571, 357, 311, 323, 293, 11583, 2020, 347, 395, 486, 12664, 263, 12571, 357, 266, 323, 264, 6629, 395, 486, 12664, 263, 12571, 357, 31206, 284, 347, 4501, 360, 6629, 31236, 31236, 311, 25520, 13601, 4970, 500, 12571, 357, 311, 263, 25520, 13601, 4970, 500, 12571, 357, 323, 6629, 272, 264, 323, 293, 11583, 31206, 20681, 271, 692, 1012, 13127, 373, 379, 18263, 487, 419, 374, 379, 26233, 356, 418, 357, 350, 417, 508, 489, 28786, 26033, 481, 692, 560, 520, 2524, 2000, 629, 30853, 20992, 4970, 497, 4970, 504, 7511, 419, 499, 503, 27730, 13200, 509, 10951, 491, 20693, 350, 10951, 374, 22909, 482, 8147, 14035, 504, 23946, 368, 23521, 354, 26266, 366, 20992, 419, 378, 492, 18713, 377, 18998, 420, 489, 365, 18713, 377, 18998, 20693, 510, 418, 489, 379, 27962, 18998, 418, 378, 367, 418, 368, 366, 419, 511, 487, 419, 499, 503, 27730, 419, 481, 511, 25426, 357, 17295, 364, 7511, 27730, 13200, 509, 418, 493, 494, 28032, 505, 4970, 497, 4970, 504, 7511, 27730, 10951, 363, 10951, 491, 20693, 350, 8147, 25060, 483, 418, 489, 361, 12916, 484, 21251, 30522, 494, 30678, 13625, 28786, 19540, 503, 8147, 10112, 9892, 28786, 19540, 503, 8147, 291, 1170, 10488, 28786, 19540, 503, 8147, 27751, 28786, 19540, 503, 8147, 16533, 493, 14756, 482, 30853, 4970, 504, 28786, 19540, 503, 8147, 3682, 27760, 28786, 19540, 503, 8147, 26261, 28786, 19540, 503, 8147, 303, 19948, 28786, 19540, 503, 8147, 18777, 350, 28997, 501, 10951, 374, 30853, 4970, 504, 28786, 19540, 503, 8147, 18777, 374, 24757, 32517, 362, 418, 498, 373, 25520, 418, 370, 355, 420, 487, 366, 8147, 419, 377, 495, 13644, 378, 28786, 417, 479, 504, 8147, 1410, 600, 28786, 26033, 481, 419, 511, 487, 419, 511, 487, 12486, 19540, 503, 30853, 420, 490, 481, 18713, 368, 418, 370, 369, 25203, 500, 421, 360, 502, 18809, 8147, 10951, 361, 26175, 495 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 16729, 14042, 17061, 538, 4911, 7637, 543, 519, 14891, 6243, 540, 519, 22096, 538, 476, 1001, 277, 602, 4718, 13143, 566, 540, 2665, 547, 3624, 267, 519, 661, 312, 292, 15613, 1107, 513, 2518, 22687, 540, 936, 476, 2004, 4891, 538, 476, 2412, 2477, 1107, 729, 9250, 547, 17108, 3646, 547, 2061, 17061, 267, 2149, 693, 16151, 5095, 267, 543, 4688, 2729, 2066, 519, 11782, 563, 763, 2518, 4640, 9607, 1896, 2591, 1519, 5835, 8611, 779, 4657, 27496, 282, 519, 5001, 32134, 540, 519, 3119, 6152, 3743, 585, 4683, 5835, 8611, 17061, 630, 320, 26433, 513, 1122, 344, 696, 328, 18151, 1070, 543, 519, 2810, 1981, 540, 3486, 3262, 563, 2304, 4830, 4571, 3856, 6268, 540, 519, 661, 312, 292, 15613, 630, 16225, 532, 476, 1001, 278, 547, 476, 1708, 272, 1070, 729, 17298, 676, 519, 16402, 2657, 6828, 1107, 609, 5583, 689, 14959, 267, 6167, 32019, 267, 543, 717, 822, 328, 6268, 13646, 1107, 607, 606, 4316, 547, 1491, 6006, 540, 519, 15613, 779, 3356, 547, 4266, 543, 547, 3313, 875, 1655, 547, 1847, 6251, 547, 7863, 3592, 476, 272, 5479, 1004, 538, 4000, 543, 538, 519, 17113, 689, 5835, 8611, 676, 476, 1708, 277, 563, 7712, 476, 1001, 278, 267, 2687, 547, 661, 312, 292, 15613, 1239, 267, 476, 26297, 2929, 811, 1004, 538, 4000, 723, 1044, 6870, 689, 5835, 8611, 3842, 513, 2582, 1673, 846, 6669, 602, 2488, 15400, 4027, 269, 7201, 519, 3105, 5835, 8611, 11036, 267, 476, 10482, 2929, 1004, 941, 6870, 538, 606, 476, 279, 4458, 1974, 269, 634, 661, 312, 292, 15613, 779, 2518, 22687, 814, 8329, 547, 519, 10231, 540, 12674, 1282, 713, 1974, 563, 10527, 661, 312, 292, 15613, 814, 5249, 5702, 609, 16588, 2276, 543, 2950, 998, 7471, 15961, 547, 6385, 4431, 547, 17061, 540, 5835, 8611, 269, 901, 814, 1044, 2944, 998, 7393, 6669, 3795, 267, 13178, 267, 543, 26129, 547, 26193, 519, 14686, 1764, 540, 713, 2068, 538, 4000, 543, 519, 17113, 2223, 3081, 3220, 19375, 24138, 267, 15445, 10615, 540, 14959, 779, 2657, 9622, 2102, 2886, 19510, 269, 968, 2171, 723, 2938, 513, 32134, 540, 17061, 540, 713, 2068, 538, 5892, 6375, 1242, 2127, 267, 609, 1981, 538, 4683, 18013, 267, 799, 6645, 721, 519, 3463, 568, 2484, 689, 936, 269, 15845, 2982, 602, 649, 616, 593, 519, 2619, 547, 14874, 5835, 8611, 8623, 12515, 267, 855, 938, 960, 568, 711, 2943, 2944, 3034, 4002, 519, 15613, 779, 8978, 31331, 24182, 3220, 25562, 744, 685, 289, 31151, 267, 10615, 540, 14959, 779, 4972, 540, 16332, 1436, 267, 17261, 1149, 543, 18143, 338, 2829, 267, 968, 763, 6268, 2963, 2982, 602, 998, 5698, 543, 1071, 268, 867, 3990, 2962, 267, 519, 661, 312, 292, 15613, 814, 26857, 1713, 2164, 269, 14117, 8611, 12674, 11044, 723, 6870, 476, 26297, 2929, 1004, 538, 4000, 2094, 621, 729, 9250, 538, 476, 1001, 278, 314, 289, 2752, 272, 316, 2073, 543, 1034, 1164, 16151, 2477, 723, 5189, 519, 5835, 8611, 6669, 883, 741, 6296, 31331, 16131, 269, 901, 814, 5280, 547, 2061, 2101, 2068, 17061, 538, 1016, 25781, 4000, 269, 1717, 267, 519, 2338, 540, 796, 341, 3147, 3990, 1453, 2611, 1164, 267, 543, 649, 1590, 3136, 547, 960, 6707, 538, 11450, 547, 2327, 1346, 10616, 616, 4904, 3533, 998, 9283, 547, 1898, 31331, 15961, 543, 12674, 11044, 950, 2877, 3034, 763, 6268, 1867, 2982, 602, 5103, 519, 1713, 10781, 540, 519, 15613, 267, 972, 616, 2591, 269, 6206, 10616, 1331, 1970, 3922, 1436, 540, 5835, 8611, 1813, 547, 12721, 1857, 1072, 14422, 538, 2477, 267, 543, 519, 991, 585, 2799, 6278, 676, 6608, 547, 2936, 6604, 543, 1852, 3800, 267, 799, 666, 1331, 6098, 6952, 5346, 12674, 11044, 547, 6445, 31331, 10616, 269, 1703, 849, 2115, 547, 581, 513, 4797, 1445, 593, 12176, 23982, 267, 22026, 267, 543, 3210, 563, 24685, 5147, 476, 1708, 274, 267, 14959, 543, 6167, 32019, 3370, 8242, 1239, 585, 476, 1708, 273, 593, 519, 1297, 540, 1453, 945, 723, 14406, 856, 593, 2565, 25750, 607, 851, 540, 741, 2197, 779, 6296, 31331, 16131, 2223, 3081, 3220, 661, 874, 8145, 19748, 24546, 267, 21133, 10615, 543, 12751, 540, 16332, 1436, 693, 6167, 32019, 269, 968, 7212, 649, 616, 1818, 1434, 3356, 1310, 519, 17522, 540, 519, 6855, 267, 972, 568, 1869, 960, 547, 581, 2944, 547, 2327, 602, 6608, 3136, 547, 4225, 5835, 8611, 269, 898, 568, 2009, 547, 9004, 891, 8623, 12515, 538, 938, 10715, 3034, 4415, 2916, 1689, 543, 519, 4473, 538, 2825, 2152, 267, 971, 607, 17717, 267, 5835, 8611, 5170, 547, 21279, 519, 1072, 543, 24454, 540, 7925, 5095, 267, 2523, 538, 29822, 20651, 4872, 269, 1452, 2188, 10460, 519, 6574, 3463, 540, 21472, 17061, 543, 3486, 13143, 566, 540, 519, 2068, 267, 1981, 532, 3818, 28029, 787, 8623, 12515, 543, 8380, 2518, 1072, 3354, 693, 1981, 563, 10527, 2487, 4473, 538, 17061, 543, 519, 4220, 789, 27167, 616, 1946, 519, 4367, 540, 519, 5835, 8611, 6669, 883, 6296, 31331, 15961, 568, 865, 1271, 1848, 1767, 3220, 3223, 548, 14024, 7937, 21105, 267, 19737, 10615, 540, 8889, 267, 19510, 5071, 261, 22013, 6116, 8081, 693, 717, 822, 328, 267, 519, 28404, 19137, 269, 968, 2171, 786, 3136, 547, 960, 609, 2477, 543, 4891, 5885, 6296, 31047, 267, 11423, 31331, 10616, 267, 543, 5355, 22026, 585, 12176, 3210, 865, 602, 649, 3035, 938, 1455, 3853, 3034, 312, 3641, 8611, 568, 21049, 538, 2789, 2477, 538, 1312, 4000, 543, 519, 17113, 269, 589, 2620, 4685, 883, 1655, 2853, 543, 4245, 4121, 538, 8478, 543, 19168, 616, 849, 3769, 538, 519, 1867, 630, 31904, 538, 2197, 4408, 1040, 5637, 2477, 723, 513, 1686, 540, 5835, 8611, 17061, 543, 723, 8045, 15324, 2527, 12674, 11044, 563, 763, 661, 312, 292, 4891, 616, 8149, 547, 14556, 4328, 3646, 2066, 1312, 17407, 547, 1489, 6082, 7598, 519, 15613, 543, 547, 2327, 513, 1158, 1863, 689, 5835, 8611, 8623, 12515, 676, 476, 1708, 277, 563, 18850, 30744, 676, 6673, 302, 6828, 593, 15773, 540, 2622, 2657, 9257, 630, 21766, 1916, 13126, 281, 19168, 5240, 0, 1432, 568, 12654, 305, 888, 763, 4937, 4578, 10466, 19938, 568, 519, 3864, 1239, 7834, 1876, 602, 6663, 693, 4657, 519, 1259, 9167, 4961, 685, 2123, 1239, 568, 6394, 267, 9268, 543, 6740, 267, 22151, 519, 1379, 936, 2123, 1239, 689, 3549, 547, 1239, 5396, 563, 288, 1268, 779, 3961, 568, 1100, 3476, 1175, 513, 1305, 540, 14477, 13735, 1239, 282, 519, 1007, 1876, 2488, 1379, 267, 1852, 543, 9844, 936, 519, 3838, 1239, 563, 6097, 547, 519, 12654, 305, 267, 2123, 1239, 1590, 581, 9268, 1152, 950, 972, 568, 513, 2312, 3483, 543, 3656, 12406, 585, 621, 267, 1239, 5396, 1590, 581, 5483, 827, 519, 1239, 4015, 1354, 1022, 2123, 7114, 1344, 568, 6394, 269, 1879, 2123, 1239, 568, 9268, 1759, 593, 519, 9844, 540, 519, 1239, 1641, 267, 621, 2115, 547, 581, 6394, 1354, 610, 693, 519, 942, 540, 1239, 4015, 543, 2743, 4170, 540, 519, 12654, 305, 593, 11413, 593, 1239, 4393, 543, 1683, 2312, 543, 24669, 1344, 547, 1239, 5396, 827, 519, 4393, 543, 741, 2924, 563, 10214, 1498, 519, 1101, 1900, 2509, 12654, 305, 10220, 568, 4656, 543, 513, 9488, 1620, 540, 1018, 2242, 519, 7939, 814, 4547, 267, 14344, 922, 1764, 936, 707, 3919, 568, 519, 4358, 1448, 2509, 10220, 563, 1432, 568, 9608, 6176, 543, 1018, 616, 824, 1883, 8847, 888, 15152, 519, 12654, 305, 267, 2123, 1239, 568, 3989, 607, 968, 1415, 1344, 11341, 547, 606, 4857, 610, 30753, 2067, 1268, 630, 11907, 1641, 5148, 606, 30753, 2067, 1268, 568, 835, 945, 666, 581, 4857, 267, 2047, 610, 18549, 267, 538, 1880, 676, 4704, 547, 606, 32165, 971, 607, 513, 2012, 267, 606, 8446, 1297, 267, 4087, 1239, 267, 606, 2228, 32165, 610, 547, 835, 610, 811, 2188, 1808, 547, 519, 2168, 267, 12214, 267, 4719, 267, 2790, 267, 2804, 267, 2686, 610, 1514, 3961, 540, 602, 2067, 1268, 3034, 12179, 4393, 540, 2027, 6688, 540, 1239, 568, 19275, 896, 519, 12654, 305, 267, 609, 1360, 1808, 17756, 267, 609, 519, 1620, 540, 2027, 6688, 1373, 1239, 602, 8761, 968, 24055, 610, 6803, 5169, 267, 2797, 8369, 267, 3909, 610, 10952, 4978, 267, 610, 4123, 9769, 15376, 267, 543, 519, 4393, 540, 4719, 1239, 267, 1979, 6248, 1239, 585, 519, 3483, 540, 19918, 7114, 513, 2067, 1268, 267, 1239, 7282, 1072, 610, 1239, 7282, 513, 2067, 1268, 781, 3023, 1272, 610, 4638, 10066, 269, 9232, 454, 763, 12654, 305, 30193, 1063, 513, 1239, 17120, 543, 513, 1239, 16267, 607, 5205, 912, 268, 1412, 19055, 518, 262, 1797, 519, 2067, 610, 3656, 1268, 267, 1857, 6392, 267, 8116, 610, 824, 1560, 799, 267, 4805, 610, 24973, 609, 1866, 267, 11887, 519, 5301, 543, 1797, 540, 519, 4393, 540, 2123, 1239, 282, 1141, 519, 5301, 543, 1797, 540, 971, 4393, 616, 5462, 676, 5742, 610, 16588, 3557, 1876, 267, 519, 17120, 610, 519, 1808, 7355, 585, 922, 9930, 1588, 949, 581, 3177, 585, 676, 5742, 610, 16588, 3557, 1876, 3248, 268, 16267, 262, 1797, 513, 2067, 610, 3656, 1268, 267, 1857, 6392, 267, 8116, 610, 824, 1560, 799, 3157, 2123, 1239, 593, 15773, 540, 519, 17120, 3248, 1103, 1840, 267, 621, 2882, 1079, 811, 2010, 540, 8446, 1239, 267, 12077, 2676, 268, 2048, 2102, 2045, 1239, 262, 799, 1797, 968, 26051, 1239, 11341, 547, 519, 15110, 610, 9715, 4719, 4162, 540, 513, 2067, 1268, 799, 2285, 2189, 1344, 827, 519, 17550, 610, 519, 1072, 540, 602, 2067, 1268, 543, 799, 1267, 267, 538, 1880, 267, 689, 606, 2079, 540, 513, 6211, 3732, 689, 519, 2067, 1268, 538, 2243, 892, 543, 454, 268, 2048, 6798, 6248, 1239, 262, 799, 1797, 968, 26051, 1239, 4611, 689, 1808, 2930, 4393, 11341, 547, 519, 2168, 267, 12214, 610, 8965, 4162, 540, 513, 2067, 1268, 267, 799, 1450, 610, 6166, 519, 2189, 8446, 540, 602, 2067, 1268, 267, 971, 607, 11132, 2592, 610, 546, 716, 2643, 25646, 1239, 3248, 8310, 855, 711, 2547, 267, 2687, 547, 519, 12654, 305, 267, 1412, 30112, 262, 1797, 968, 1415, 5106, 610, 1305, 540, 4238, 799, 568, 5340, 593, 2123, 1239, 610, 593, 5036, 540, 2123, 1239, 267, 2436, 610, 711, 676, 12747, 1797, 267, 971, 607, 4015, 267, 10916, 267, 3919, 267, 1785, 1005, 267, 4859, 267, 9542, 610, 27327, 267, 23023, 267, 15360, 267, 946, 267, 23930, 676, 6771, 267, 23425, 610, 6382, 1818, 2139, 267, 12972, 610, 4999, 267, 19231, 267, 2144, 5501, 610, 9552, 3034, 8005, 814, 547, 16783, 609, 519, 12654, 305, 888, 12179, 3919, 630, 1721, 17416, 267, 18758, 543, 22257, 264, 602, 3157, 2123, 1239, 540, 3864, 4961, 543, 7264, 267, 7488, 540, 519, 3919, 779, 4087, 814, 547, 16783, 609, 519, 12654, 305, 563, 8005, 568, 16934, 689, 12654, 305, 10220, 888, 763, 12654, 305, 1281, 711, 23868, 4213, 1759, 593, 2450, 267, 8907, 610, 4087, 267, 855, 621, 666, 23868, 1978, 2010, 540, 1239, 971, 607, 912, 268, 4578, 9268, 676, 513, 2067, 1268, 968, 514, 519, 1576, 540, 513, 17033, 2123, 610, 7622, 2534, 543, 3976, 609, 1100, 4276, 547, 513, 3318, 610, 5010, 2534, 3034, 268, 1323, 7716, 2213, 1344, 563, 268, 9608, 1239, 540, 21549, 7606, 563, 268, 4578, 4393, 2944, 538, 519, 2796, 540, 3084, 3354, 610, 1876, 11268, 563, 268, 4578, 4393, 2944, 538, 519, 2796, 540, 19761, 607, 621, 3112, 16401, 519, 1863, 2046, 563, 268, 4578, 4393, 2944, 538, 519, 2796, 540, 2069, 563, 1692, 666, 594, 1832, 1250, 3919, 12654, 305, 5360, 5050, 888, 2467, 616, 3670, 3741, 602, 519, 12654, 305, 14592, 538, 9137, 476, 276, 602, 948, 3549, 581, 5360, 5050, 912, 268, 4521, 6888, 267, 14619, 543, 11413, 454, 268, 20828, 20159, 454, 268, 4578, 6922, 1436, 454, 268, 19554, 20159, 454, 4322, 666, 581, 4553, 952, 596, 1118, 2386, 547, 1246, 519, 2630, 24920, 912, 268, 8178, 2436, 707, 2754, 2115, 547, 6966, 513, 667, 17269, 630, 22372, 593, 12531, 543, 2010, 540, 1239, 9268, 1916, 268, 8073, 513, 21041, 18564, 543, 1217, 1239, 5396, 950, 596, 2445, 741, 1239, 563, 268, 5398, 569, 4159, 707, 2754, 781, 2012, 543, 3346, 1344, 267, 607, 1134, 607, 707, 667, 17269, 781, 2012, 543, 3346, 1344, 267, 952, 707, 2754, 814, 8655, 835, 563, 268, 4004, 6510, 3864, 1239, 5396, 262, 2924, 5693, 563, 268, 25085, 1239, 5396, 547, 3635, 741, 1239, 7834, 2924, 676, 4259, 909, 513, 1505, 789, 666, 946, 547, 3362, 10505, 13668 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1280, 3657, 526, 339, 267, 7589, 538, 18523, 1272, 26523, 539, 2390, 938, 2702, 547, 2408, 1354, 1866, 538, 938, 13737, 640, 1107, 602, 568, 267, 607, 2189, 7919, 5827, 540, 27510, 1007, 20297, 543, 585, 3101, 6209, 4296, 2066, 3515, 540, 3017, 269, 1677, 2327, 713, 7872, 267, 1352, 9738, 267, 7239, 1590, 15500, 14688, 9856, 1996, 1958, 25209, 906, 2390, 519, 5191, 540, 7681, 543, 4082, 267, 561, 652, 789, 17277, 883, 964, 13607, 1143, 610, 28735, 780, 6701, 526, 339, 781, 2093, 13469, 9244, 609, 4207, 9620, 585, 6805, 16285, 267, 7292, 5126, 267, 543, 4008, 7862, 1107, 5322, 602, 4749, 7048, 2390, 3860, 12485, 899, 8265, 14364, 267, 1694, 15564, 267, 543, 23909, 547, 2721, 3007, 547, 11528, 31716, 543, 27647, 1125, 1857, 1489, 269, 1635, 29379, 532, 4683, 8916, 607, 5933, 585, 2797, 2773, 267, 15628, 20838, 519, 1685, 894, 7516, 540, 15114, 3294, 267, 13031, 519, 2081, 538, 799, 3961, 267, 10362, 267, 543, 8116, 12969, 538, 1950, 543, 3006, 30137, 2081, 269, 2311, 519, 1482, 942, 267, 789, 7618, 721, 540, 519, 4105, 1599, 5340, 676, 519, 1318, 547, 13889, 538, 24569, 7524, 267, 29355, 1629, 31097, 8149, 547, 16734, 519, 16431, 540, 15698, 267, 7862, 267, 543, 17604, 585, 782, 2818, 780, 1103, 3932, 267, 6313, 519, 2078, 1063, 2797, 5191, 543, 519, 1318, 547, 13889, 8761, 1454, 827, 519, 13346, 32725, 540, 11180, 1272, 538, 606, 2085, 6825, 676, 4028, 6639, 5647, 267, 2686, 7004, 267, 543, 14051, 269, 3414, 13455, 6278, 609, 1883, 17024, 899, 16205, 2224, 543, 3657, 526, 339, 267, 607, 1134, 607, 18906, 4369, 547, 28928, 3270, 540, 16311, 566, 543, 5698, 267, 5640, 543, 9439, 7567, 1796, 547, 15052, 741, 7071, 585, 519, 16221, 2081, 538, 799, 7104, 2962, 5546, 519, 24551, 540, 1480, 1686, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 8698, 7186, 1656, 634, 715, 6058, 748, 769, 19088, 641, 4141, 545, 26135, 9085, 454, 1613, 2470, 543, 519, 1003, 29532, 538, 1520, 1941, 334, 543, 2274, 9109, 553, 267, 1239, 269, 13999, 267, 15979, 267, 543, 5403, 19640, 1143, 267, 7389, 269, 1377, 540, 7073, 640, 282, 10749, 543, 700, 624, 999, 267, 986, 7714, 269, 3029, 267, 543, 11572, 19043, 267, 1098, 269, 654, 625, 1263, 745, 526, 267, 9232, 15610, 540, 589, 652, 12060, 267, 5292, 269, 11062, 281, 11062, 2160, 4964, 269, 17600, 538, 13898, 267, 2070, 269, 1025, 665, 338, 540, 519, 590, 7968, 5980, 269, 5845, 303, 3639, 267, 609, 3197, 547, 922, 23350, 269, 20435, 16423, 32184, 3619, 9220, 2160, 538, 7671, 31060, 269, 1520, 1941, 334, 21340, 1004, 538, 519, 7671, 31060, 3427, 269, 20435, 16423, 32184, 3619, 9220, 2160, 538, 7671, 31060, 269, 13019, 611, 655, 773, 3541, 918, 6686, 23070, 538, 12670, 269, 13817, 29664, 323, 17127, 547, 519, 2278, 814, 1031, 16241, 676, 513, 14163, 582, 27318, 10627, 1731, 2486, 269, 1411, 616, 1336, 707, 3875, 521, 3388, 269, 3838, 547, 20031, 1756, 543, 8661, 827, 7980, 256, 6153, 1348, 338, 814, 596, 3406, 2070, 2470, 543, 519, 1003, 29532, 538, 7242, 641, 4141, 545, 14810, 3332, 540, 1296, 596, 9468, 547, 2119, 269, 1373, 519, 2338, 540, 519, 13172, 673, 2070, 2470, 543, 519, 538, 1346, 476, 274, 1004, 267, 715, 1380, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 623, 27773, 13316, 1315, 11572, 15213, 1315, 9406, 547, 14308, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 277, 281, 29980, 675, 534, 670, 539, 517, 1143, 910, 634, 623, 2720, 3726, 540, 20167, 5501, 543, 2558, 534, 638, 1006, 692, 1103, 519, 7706, 540, 10952, 15949, 517, 1143, 267, 29980, 675, 22675, 6763, 856, 607, 513, 2189, 1935, 602, 11363, 519, 2956, 540, 8236, 22471, 1006, 998, 9793, 12257, 5498, 22701, 269, 901, 3184, 12538, 883, 519, 10752, 540, 29980, 32203, 267, 945, 8547, 713, 1153, 540, 2219, 538, 3504, 10255, 1282, 519, 3791, 2540, 14514, 269, 1635, 3695, 1585, 3344, 540, 29980, 675, 22675, 267, 1519, 922, 4295, 28975, 267, 30852, 267, 543, 4296, 547, 4207, 2152, 267, 649, 786, 2744, 513, 4514, 7071, 585, 875, 713, 3504, 6138, 3788, 4143, 2221, 780, 296, 269, 4985, 454, 288, 269, 11137, 540, 29980, 675, 22675, 454, 289, 269, 5871, 16700, 935, 8526, 454, 290, 269, 11957, 540, 4197, 29980, 675, 534, 670, 539, 517, 1143, 692, 2862, 269, 11759, 14210, 1115, 540, 29980, 675, 22675, 454, 288, 269, 7186, 607, 513, 6651, 454, 272, 269, 11822, 8447, 14362, 454, 273, 269, 7849, 5288, 269, 966, 4314, 532, 2677, 2231, 454, 289, 269, 3525, 4733, 20167, 5501, 4149, 324, 22701, 454, 272, 269, 19793, 1324, 20167, 5501, 3414, 3244, 13109, 454, 273, 269, 3680, 532, 28246, 10266, 454, 290, 269, 2311, 8877, 2558, 534, 638, 1006, 454, 272, 269, 15213, 3245, 21824, 454, 273, 269, 4980, 22899, 14886, 1222, 692, 7656, 269, 7600, 545, 3359, 540, 29980, 675, 22675, 454, 288, 269, 4762, 4288, 2060, 4033, 22553, 540, 670, 539, 517, 1143, 454, 289, 269, 1325, 5586, 725, 540, 3493, 571, 6143, 454, 290, 269, 3131, 18727, 19768, 540, 19264, 819, 454, 291, 269, 18601, 7073, 7600, 2294, 692, 4353, 269, 12634, 22627, 454, 288, 269, 24238, 543, 3687, 2711, 1143, 454, 272, 269, 16792, 29980, 675, 534, 14313, 547, 7073, 5020, 454, 273, 269, 28552, 6182, 520, 3363, 543, 12474, 618, 454, 289, 269, 7025, 20885, 454, 272, 269, 22716, 1944, 11822, 12389, 454, 273, 269, 26805, 19901, 626, 570, 754, 4293, 454, 290, 269, 10076, 2657, 543, 4270, 7424, 454, 272, 269, 19737, 13262, 543, 17520, 454, 273, 269, 8490, 8081, 7010, 543, 17716, 692, 309, 269, 10390, 454, 288, 269, 12834, 540, 6206, 18745, 454, 289, 269, 14484, 532, 593, 9608, 10241, 454, 290, 269, 11559, 618, 585, 8033, 4240, 16709, 692, 14945, 6637, 476, 277, 5956, 676, 10962, 29980, 675, 22675, 607, 513, 3982, 1106, 540, 15949, 517, 2065, 6138, 10704, 1472, 20208, 543, 22471, 1006, 269, 10705, 29144, 1813, 547, 1476, 3175, 609, 824, 3029, 540, 15949, 517, 1143, 267, 29980, 675, 22675, 11414, 2043, 547, 946, 2470, 607, 513, 3391, 950, 5275, 12257, 1247, 9319, 11991, 1928, 269, 769, 3257, 865, 267, 740, 6254, 338, 2832, 547, 3035, 693, 541, 1314, 807, 12544, 1533, 540, 32668, 22471, 1006, 1863, 689, 4250, 543, 18063, 780, 763, 2034, 3296, 7710, 519, 1614, 4295, 28975, 540, 29980, 675, 22675, 811, 8499, 269, 17616, 267, 13794, 616, 9415, 547, 10646, 1063, 2067, 13821, 267, 971, 607, 14000, 543, 19818, 267, 543, 642, 4314, 532, 13821, 899, 5763, 13250, 543, 1379, 11601, 269, 19627, 267, 789, 12167, 585, 13197, 16434, 5418, 9778, 2864, 982, 7050, 3283, 282, 7446, 2241, 3675, 903, 5012, 547, 1447, 1761, 2800, 543, 26845, 269, 14936, 267, 14237, 17052, 5713, 607, 1776, 1898, 2460, 540, 1140, 8724, 8788, 1369, 519, 29980, 675, 534, 5943, 780, 8601, 922, 2318, 7907, 267, 29980, 675, 22675, 8188, 1896, 30852, 269, 2368, 13915, 8044, 602, 621, 8992, 1232, 611, 775, 267, 1247, 1866, 3409, 602, 621, 588, 604, 956, 20440, 543, 2208, 269, 1717, 267, 891, 11994, 6565, 5097, 689, 21390, 4478, 519, 3020, 3853, 540, 29980, 675, 534, 15949, 517, 1143, 269, 5015, 267, 2413, 14624, 540, 29980, 675, 534, 2093, 2232, 930, 3140, 31886, 676, 11744, 875, 16134, 267, 11009, 267, 2825, 5539, 267, 2790, 9716, 2853, 267, 543, 2178, 3347, 3565, 547, 2949, 9547, 543, 20106, 780, 9961, 1686, 267, 8037, 5515, 971, 607, 7338, 16962, 267, 25453, 9546, 4777, 2506, 3205, 267, 543, 590, 10176, 1495, 22506, 723, 1044, 6766, 676, 29980, 675, 534, 2219, 269, 4653, 267, 1082, 1004, 3136, 547, 4019, 922, 4245, 538, 13287, 540, 513, 18668, 1272, 269, 1306, 14051, 12615, 919, 7082, 2528, 543, 2916, 1689, 4145, 1332, 5051, 25680, 267, 8508, 2609, 540, 29980, 675, 22675, 3587, 1256, 811, 2629, 269, 22685, 1154, 12863, 19824, 267, 19825, 2596, 635, 325, 2176, 267, 543, 5807, 6209, 7554, 6038, 1291, 547, 2799, 2123, 8171, 543, 4389, 8833, 593, 3047, 781, 2200, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 2080, 781, 1018, 568, 8345, 593, 519, 678, 270, 22977, 545, 675, 22675, 593, 23749, 1862, 11398, 741, 2606, 6609, 912, 8702, 547, 678, 270, 22977, 545, 675, 22675, 2336, 296, 6557, 2386, 596, 723, 513, 1906, 2055, 269, 634, 19466, 568, 4440, 968, 1432, 519, 22946, 568, 29980, 675, 22675, 267, 543, 1946, 1058, 594, 24049, 9495, 594, 4076, 2322, 1927, 713, 2606, 2022, 547, 1118, 519, 2013, 585, 596, 4742, 513, 1246, 518, 540, 1312, 713, 1016, 1042, 9016, 543, 519, 6138, 563, 1432, 568, 29980, 675, 22675, 888, 22977, 545, 675, 22675, 568, 606, 3504, 6138, 1759, 593, 519, 3450, 540, 29980, 32203, 540, 6341, 657, 630, 30130, 268, 17734, 6195, 1040, 1261, 1759, 1010, 3206, 593, 513, 1906, 2241, 2168, 3741, 543, 3710, 689, 873, 606, 782, 21214, 6138, 269, 2311, 922, 14724, 29980, 675, 22675, 666, 581, 2040, 4364, 909, 607, 519, 3661, 602, 2048, 303, 548, 5501, 568, 1434, 267, 1928, 568, 3983, 10200, 898, 568, 513, 31495, 13133, 566, 540, 713, 799, 814, 3366, 547, 29980, 675, 753, 1373, 13556, 607, 1244, 571, 1386, 12257, 32339, 563, 22977, 545, 32203, 6026, 602, 12257, 568, 1434, 543, 1058, 581, 22002, 267, 855, 602, 711, 782, 5418, 9778, 941, 4502, 3478, 269, 1403, 513, 12257, 3340, 513, 2603, 540, 1928, 547, 3914, 267, 610, 3947, 1928, 538, 519, 1279, 2196, 267, 1287, 621, 568, 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, 10572, 11096, 14279, 1315, 29980, 675, 534, 670, 539, 517, 1143, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 769, 513, 30152, 2244, 267, 2620, 9944, 519, 2666, 267, 972, 729, 513, 2462, 2679, 1572, 772, 3387, 20255, 15278, 269, 901, 7012, 1405, 1022, 8723, 2679, 282, 621, 1185, 2027, 11623, 4904, 609, 22795, 267, 13502, 540, 1114, 4872, 267, 543, 1256, 6417, 3532, 5904, 256, 3776, 3659, 7705, 530, 5803, 909, 538, 713, 9490, 1747, 1310, 1373, 9676, 676, 1200, 2025, 24343, 267, 808, 650, 269, 2701, 5433, 11821, 543, 18901, 267, 18516, 540, 1018, 1131, 4755, 1985, 780, 2026, 7705, 18389, 1229, 1472, 267, 3843, 547, 1265, 513, 1259, 856, 267, 1352, 1558, 1520, 320, 267, 945, 5249, 585, 519, 20148, 540, 772, 3387, 20255, 267, 6004, 269, 24380, 12027, 269, 1809, 1934, 781, 513, 9983, 910, 1520, 320, 5143, 7705, 602, 789, 4769, 1405, 960, 585, 772, 3387, 20255, 15042, 256, 1358, 941, 2965, 4543, 4339, 1996, 922, 9409, 4566, 269, 1215, 666, 2576, 3247, 2324, 585, 741, 20148, 782, 540, 513, 6727, 286, 4270, 267, 4952, 2348, 513, 4116, 945, 1031, 547, 2285, 6266, 540, 6780, 267, 855, 1287, 4956, 547, 2671, 1187, 1565, 2238, 3079, 256, 2334, 781, 2186, 540, 875, 1919, 4957, 585, 1520, 320, 543, 24380, 12027, 780, 3849, 320, 6045, 602, 6004, 269, 24380, 12027, 1185, 8945, 539, 519, 2679, 781, 1949, 865, 646, 1223, 1491, 1852, 1394, 689, 519, 3983, 4414, 10348, 2780, 1982, 269, 898, 729, 899, 950, 596, 1404, 513, 3381, 3014, 543, 8275, 519, 5636, 664, 3884, 1405, 607, 2178, 607, 596, 2219, 267, 865, 596, 2097, 909, 609, 15931, 15361, 547, 10726, 873, 256, 2060, 1520, 320, 781 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3609, 269, 0, 258, 2155, 32477, 14290, 540, 513, 4009, 5119, 692, 9223, 281, 4855, 519, 782, 1319, 29029, 602, 862, 1393, 609, 3230, 289, 7807, 8218, 32413, 348, 536, 1299, 476, 272, 1299, 476, 271, 8607, 476, 271, 1299, 536, 1299, 476, 272, 8607, 476, 271, 1299, 476, 271, 1299, 536, 1422, 754, 32413, 6525, 780, 7069, 960, 1384, 4131, 3230, 288, 7807, 8218, 32413, 348, 513, 318, 272, 1299, 536, 318, 272, 1299, 524, 318, 272, 8607, 513, 318, 273, 1299, 536, 318, 273, 1299, 524, 318, 273, 8607, 513, 318, 274, 1299, 536, 318, 274, 1299, 524, 318, 274, 1422, 754, 32413, 6525, 780, 3086, 689, 3230, 5723, 284, 10621, 2330, 10522, 10484, 11377, 8218, 32413, 348, 513, 318, 272, 1299, 536, 318, 272, 1299, 524, 318, 272, 8607, 513, 318, 273, 1299, 536, 318, 273, 1299, 524, 318, 273, 8607, 513, 318, 274, 1299, 536, 318, 274, 1299, 524, 318, 274, 1422, 754, 32413, 348, 1547, 1422, 8218, 32413, 348, 536, 1299, 476, 272, 1299, 476, 271, 8607, 476, 271, 1299, 536, 1299, 476, 272, 8607, 476, 271, 1299, 476, 271, 1299, 536, 1422, 754, 32413, 348, 31386, 8218, 32413, 348, 536, 1299, 476, 272, 1299, 476, 271, 8607, 476, 271, 1299, 536, 1299, 476, 272, 8607, 476, 271, 1299, 476, 271, 1299, 536, 1422, 754, 32413, 20467, 315, 8218, 32413, 348, 513, 318, 272, 1299, 536, 318, 272, 1299, 524, 318, 272, 8607, 513, 318, 273, 1299, 536, 318, 273, 1299, 524, 318, 273, 8607, 513, 318, 274, 1299, 536, 318, 274, 1299, 524, 318, 274, 1422, 754, 32413, 15732, 10190, 10484, 11377, 8218, 32413, 348, 513, 318, 272, 321, 1299, 513, 318, 272, 266, 6277, 318, 272, 1299, 536, 318, 272, 25239, 318, 272, 321, 8607, 513, 318, 273, 321, 1299, 513, 318, 273, 266, 6277, 318, 273, 1299, 536, 318, 273, 25239, 318, 273, 321, 8607, 513, 318, 274, 321, 1299, 513, 318, 274, 266, 6277, 318, 274, 1299, 536, 318, 274, 25239, 318, 274, 321, 17910, 32413, 348, 31386, 8218, 32413, 348, 22678, 318, 272, 266, 320, 318, 273, 1299, 536, 321, 318, 272, 17070, 318, 273, 1299, 524, 318, 272, 321, 25239, 318, 273, 8607, 22678, 318, 273, 266, 320, 318, 274, 1299, 536, 321, 318, 273, 17070, 318, 274, 1299, 524, 318, 273, 321, 25239, 318, 274, 8607, 22678, 318, 274, 1299, 536, 321, 318, 274, 1299, 27652, 318, 274, 17910, 32413, 15732, 10190, 267, 6061, 713, 10484, 2330, 320, 318, 272, 321, 284, 22678, 318, 272, 266, 320, 318, 273, 1422, 574, 18680, 513, 318, 273, 284, 271, 9681, 2330, 320, 318, 272, 266, 6277, 318, 272, 284, 6277, 318, 272, 17070, 318, 273, 1422, 574, 18680, 513, 318, 272, 284, 321, 318, 273, 9681, 2330, 321, 318, 272, 25239, 318, 272, 321, 284, 322, 318, 272, 321, 25239, 318, 273, 1422, 574, 18680, 536, 318, 272, 284, 322, 318, 273, 9681, 2330, 320, 318, 273, 321, 284, 9346, 318, 273, 266, 320, 318, 274, 1422, 574, 18680, 513, 318, 274, 284, 271, 9681, 2330, 320, 318, 273, 266, 6277, 318, 273, 284, 6277, 318, 273, 17070, 318, 274, 1422, 574, 18680, 513, 318, 273, 284, 321, 318, 274, 9681, 2330, 321, 318, 273, 25239, 318, 273, 321, 284, 322, 318, 273, 321, 25239, 318, 274, 1422, 574, 18680, 536, 318, 273, 284, 322, 318, 274, 9681, 2330, 320, 318, 274, 321, 284, 9346, 318, 274, 2330, 3230, 320, 318, 274, 266, 6277, 318, 274, 284, 536, 321, 318, 274, 1422, 574, 18680, 513, 318, 274, 284, 271, 9681, 2330, 321, 318, 274, 25239, 318, 274, 321, 284, 27652, 318, 274, 1422, 574, 18680, 536, 318, 274, 284, 271, 29634, 10190, 267, 594, 993, 711, 2386, 827, 1739, 4259, 269, 1772, 621, 1318, 610, 4636, 2496, 2330, 288, 7807, 8218, 32413, 348, 513, 318, 272, 1299, 536, 318, 272, 1299, 7790, 8607, 476, 271, 1299, 513, 318, 272, 284, 321, 318, 273, 1299, 536, 318, 272, 8607, 476, 271, 1299, 476, 271, 1299, 524, 318, 274, 1422, 754, 32413, 6525, 780, 296, 729, 11842, 952, 596, 1223, 948, 547, 8207, 713, 3390, 269, 594, 5660, 707, 942, 780, 1892, 2422, 519, 1249, 602, 1269, 320, 3709, 272, 348, 815, 536, 3709, 273, 348, 815, 524, 3709, 274, 4151, 543, 1175, 2328, 1269, 320, 3709, 272, 4151, 538, 782, 540, 1346, 4025, 9484, 476, 278, 267, 476, 1001, 280, 693, 476, 271, 281, 4510, 454, 1892, 1269, 288, 7807, 8218, 32413, 348, 513, 318, 272, 1299, 536, 318, 272, 1299, 524, 318, 272, 8607, 476, 271, 1299, 513, 318, 272, 1299, 536, 318, 272, 8607, 476, 271, 1299, 476, 271, 1299, 513, 318, 272, 1422, 754, 32413, 4151, 1772, 621, 2953, 1631, 286, 9484, 476, 278, 267, 476, 1001, 280, 693, 476, 272, 281, 876, 454, 1892, 1411, 666, 14458, 519, 4834, 602, 596, 723, 547, 4194, 3833, 513, 3787, 676, 1603, 1269, 289, 284, 321, 296, 266, 301, 8961, 865, 602, 1269, 5723, 5174, 288, 284, 3198, 268, 2793, 10608, 901, 2636, 596, 547, 1305, 1269, 321, 284, 271, 8961, 799, 786, 14458, 1034, 540, 519, 2474, 269, 2107, 267, 596, 666, 946, 4024, 808, 698, 344, 779, 2626, 547, 1265, 1269, 288, 259, 9425, 2047, 267, 2094, 1269, 301, 317, 273, 259, 814, 513, 3226, 2241, 1106, 269, 2991, 7384, 621, 267, 596, 1058, 581, 2111, 547, 5544, 602, 1269, 296, 8961, 1269, 301, 259, 543, 1269, 301, 317, 273, 259, 616, 31085, 4830, 563, 1700, 1109, 600, 323, 454, 20225, 476, 278, 267, 476, 1001, 280, 693, 476, 272, 281, 4905, 454, 1892, 7711, 289, 1513, 531, 267, 602, 568, 2953, 269, 8074, 602, 267, 952, 596, 2022, 513, 6085, 855, 798, 711, 1376, 621, 609, 606, 7711, 1129, 543, 513, 3593, 2012, 267, 18864, 4991, 5483, 602, 596, 723, 1500, 513, 6085, 269, 594, 5949, 547, 581, 10992, 1394, 1934, 1310, 6028, 547, 2070, 824, 2055, 907, 9484, 476, 278, 267, 476, 1001, 280, 693, 476, 272, 281, 1015, 454, 1892, 7711, 12663, 297, 698, 344, 3893, 621, 256, 11289, 596, 865, 1454, 585, 707, 948, 256, 9484, 476, 278, 267, 476, 1001, 280, 693, 476, 272, 281, 1724, 692, 2005, 568, 8850, 3020, 602, 3230, 289, 2330, 862, 2373, 609, 1022, 5119, 540, 519, 1106, 3230, 343, 296, 1341, 586, 645, 1341, 1990, 645, 317, 273, 269, 2330, 8074, 602, 621, 568, 711, 2556, 547, 2015, 3230, 289, 317, 274, 2330, 610, 3230, 289, 317, 275, 267, 2330, 607, 891, 666, 581, 12842, 883, 519, 2016, 4082, 780, 763, 1875, 13700, 20190, 11532, 568, 602, 267, 950, 519, 8766, 9971, 23216, 609, 519, 8984, 9971, 267, 1287, 519, 1152, 14290, 862, 5024, 609, 3230, 289, 2330, 616, 1346, 9971, 7215, 538, 3230, 289, 269, 2330, 2334, 10039, 1934, 267, 519, 2783, 568, 6697, 547, 713, 281, 1142, 14802, 7407, 4386, 538, 1175, 835, 16888, 3625, 780, 1103, 2040, 267, 596, 616, 1869, 513, 2370, 1055, 780, 1892, 594, 7058, 267, 594, 723, 547, 1265, 513, 2489, 5119, 602, 862, 2373, 609, 1269, 289, 256, 9484, 476, 278, 267, 476, 1001, 280, 693, 476, 271, 281, 4510, 3040, 7711, 289, 1513, 531, 1250, 5796, 568, 602, 596, 5402, 5173, 259, 289, 317, 273, 259, 663, 1287, 1250, 259, 343, 296, 1341, 586, 645, 1341, 1990, 645, 317, 273, 269, 259, 2791, 1058, 1294, 930, 2241, 3347, 1851, 519, 13366, 972, 269, 3973, 2119, 707, 3312, 9819, 1586, 267, 594, 1589, 596, 786, 581, 2111, 547, 4368, 519, 2370, 2042, 3054, 1862, 9484, 476, 278, 267, 476, 1001, 280, 693, 476, 271, 281, 5325, 3040, 7711, 289, 1513, 531, 594, 8068, 519, 1007, 6085, 676, 21546, 267, 543, 646, 568, 4625, 2953, 269, 1403, 596, 1175, 1246, 1010, 5796, 267, 596, 1058, 581, 538, 1434, 3337, 269, 594, 666, 2995, 596, 602, 519, 630, 272, 267, 274, 264, 7127, 2731, 568, 4830, 540, 519, 1866, 267, 1175, 2322, 259, 322, 318, 272, 15478, 972, 9484, 476, 278, 267, 476, 1001, 280, 693, 476, 271, 281, 7906, 692, 296, 3494, 972, 568, 513, 12863, 1259, 267, 513, 2619, 799, 2306, 519, 9273, 4443, 780, 2237, 3230, 289, 2330, 538, 519, 1106, 692, 2330, 289, 815, 1422, 8218, 21421, 348, 536, 1299, 476, 272, 1299, 476, 271, 8607, 476, 271, 1299, 536, 1299, 476, 272, 8607, 476, 271, 1299, 476, 271, 1299, 536, 1422, 754, 2715, 321, 9795, 348, 815, 536, 296, 1341, 715, 267, 1422, 32002, 476, 272, 9681, 3602, 692, 2330, 301, 815, 1422, 8218, 21421, 348, 476, 271, 1299, 476, 272, 1299, 476, 271, 8607, 476, 271, 1299, 476, 271, 1299, 476, 272, 8607, 476, 271, 1299, 476, 271, 1299, 476, 271, 1422, 754, 2715, 321, 9795, 348, 282, 1422, 32002, 476, 273, 9681, 6533, 692, 2330, 5723, 815, 22601, 1422, 32002, 476, 274, 9681, 2041, 3699, 692, 2330, 288, 6357, 296, 1341, 715, 264, 815, 630, 321, 296, 1341, 715, 264, 288, 1422, 16524, 21375, 536, 288, 1341, 4888, 815, 536, 288, 1341, 19364, 1422, 16524, 21375, 4888, 815, 19364, 282, 1422, 32002, 476, 275, 9681, 5976, 692, 2330, 288, 815, 1422, 8218, 21421, 348, 513, 318, 272, 1299, 513, 318, 275, 1299, 513, 318, 278, 8607, 513, 318, 273, 1299, 513, 318, 276, 1299, 513, 318, 279, 8607, 513, 318, 274, 1299, 513, 318, 277, 1299, 513, 318, 280, 1422, 754, 2715, 321, 9795, 9574, 1422, 32002, 476, 276, 9681, 3225, 566, 692, 2330, 3198, 815, 19364, 1422, 32002, 476, 277, 9681, 344, 3658, 692, 11377, 8218, 21421, 348, 513, 318, 272, 1299, 513, 318, 275, 1299, 513, 318, 278, 8607, 513, 318, 273, 1299, 513, 318, 276, 1299, 513, 318, 279, 8607, 513, 318, 274, 1299, 513, 318, 277, 1299, 513, 318, 280, 1422, 754, 2715, 321, 9795, 348, 1422, 8218, 21421, 348, 476, 271, 1299, 476, 272, 1299, 476, 271, 8607, 476, 271, 1299, 476, 271, 1299, 476, 272, 8607, 476, 271, 1299, 476, 271, 1299, 476, 271, 1422, 754, 2715, 321, 9795, 348, 815, 1422, 8218, 21421, 348, 476, 271, 1299, 476, 272, 1299, 476, 271, 8607, 476, 271, 1299, 476, 271, 1299, 476, 272, 8607, 476, 271, 1299, 476, 271, 1299, 476, 271, 1422, 754, 2715, 321, 9795, 348, 1422, 8218, 21421, 348, 513, 318, 272, 1299, 513, 318, 275, 1299, 513, 318, 278, 8607, 513, 318, 273, 1299, 513, 318, 276, 1299, 513, 318, 279, 8607, 513, 318, 274, 1299, 513, 318, 277, 1299, 513, 318, 280, 1422, 754, 2715, 321, 9795, 9574, 1422, 32002, 476, 278, 9681, 528, 692, 11377, 8218, 21421, 348, 476, 271, 1299, 513, 318, 272, 1299, 513, 318, 275, 8607, 476, 271, 1299, 513, 318, 273, 1299, 513, 318, 276, 8607, 476, 271, 1299, 513, 318, 274, 1299, 513, 318, 277, 1422, 754, 2715, 321, 9795, 348, 815, 1422, 8218, 21421, 348, 513, 318, 273, 1299, 513, 318, 276, 1299, 513, 318, 279, 8607, 513, 318, 274, 1299, 513, 318, 277, 1299, 513, 318, 280, 8607, 476, 271, 1299, 476, 271, 1299, 476, 271, 1422, 754, 2715, 321, 9795, 348, 282, 1422, 32002, 476, 279, 9681, 1260, 1706, 532, 13366, 540, 891, 1079, 14290, 649, 1265, 692, 2330, 320, 318, 273, 815, 513, 318, 274, 815, 513, 318, 277, 815, 476, 271, 267, 1422, 32002, 476, 280, 9681, 2330, 320, 318, 272, 815, 513, 318, 276, 815, 513, 318, 280, 267, 31046, 513, 318, 275, 815, 513, 318, 279, 267, 1422, 32002, 346, 1015, 15732, 663, 3230, 320, 318, 278, 2330, 796, 6247, 11712, 630, 7474, 568, 267, 17062, 6393, 13295, 649, 723, 3230, 288, 2330, 2921, 519, 1106, 692, 2330, 288, 815, 1422, 8218, 21421, 348, 513, 1299, 524, 1299, 546, 8607, 476, 271, 1299, 513, 1299, 524, 8607, 476, 271, 1299, 476, 271, 1299, 513, 1422, 754, 2715, 321, 9795, 348, 815, 513, 296, 1341, 524, 301, 1341, 546, 301, 317, 273, 267, 1422, 32002, 346, 1556, 15732, 1721, 692, 2330, 301, 317, 273, 815, 1422, 8218, 21421, 348, 476, 271, 1299, 476, 272, 1299, 476, 271, 8607, 476, 271, 1299, 476, 271, 1299, 476, 272, 8607, 476, 271, 1299, 476, 271, 1299, 476, 271, 1422, 754, 2715, 321, 9795, 348, 1422, 8218, 21421, 348, 476, 271, 1299, 476, 272, 1299, 476, 271, 8607, 476, 271, 1299, 476, 271, 1299, 476, 272, 8607, 476, 271, 1299, 476, 271, 1299, 476, 271, 1422, 754, 2715, 321, 9795, 348, 815, 1422, 8218 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12255, 7511, 28793, 22390, 503, 8147, 19764, 478, 417, 356, 489, 31284, 21550, 485, 25520, 14756, 497, 23521, 509, 31284, 21550, 485, 26233, 356, 420, 368, 357, 25203, 372, 9463, 491, 454, 2745, 19304, 274, 314, 274, 281, 272, 18737, 272, 7481, 2745, 19304, 274, 11468, 18737, 273, 7481, 2745, 19304, 274, 11468, 18737, 272, 8079, 476, 1948, 21211, 31033, 4970, 366, 22390, 496, 31365, 0, 12163, 272, 18998, 16583, 30936, 13213, 498, 18713, 508, 29219, 16088, 454, 825, 513, 18998, 16533, 365, 15159, 16583, 30936, 13213, 498, 18713, 508, 14756, 503, 420, 364, 481, 17958, 26033, 483, 7511, 29219, 454, 825, 536, 18998, 16533, 365, 15159, 8873, 10429, 367, 421, 498, 362, 21211, 12571, 492, 30837, 351, 7511, 23989, 20001, 378, 19764, 493, 7511, 29219, 454, 825, 524, 18998, 16533, 365, 15159, 16583, 30936, 420, 364, 481, 17958, 23989, 20001, 378, 19764, 493, 7511, 29219, 692, 7090, 18809, 30006, 493, 14748, 16583, 30936, 421, 25693, 15159, 20069, 13213, 498, 18713, 508, 29219, 7511, 8147, 13213, 498, 18713, 508, 29219, 16533, 365, 15159, 8873, 12571, 492, 30837, 351, 7511, 29219, 8147, 454, 420, 489, 354, 418, 366, 350, 20069, 8873, 8147, 16583, 30936, 13213, 498, 18713, 508, 29219, 16533, 365, 15159, 14085, 12486, 692, 9563, 16583, 30936, 7511, 420, 364, 481, 17958, 16088, 454, 825, 513, 18998, 10429, 486, 18713, 508, 28996, 16583, 30936, 420, 364, 481, 17958, 7511, 12916, 491, 419, 377, 362, 454, 825, 536, 18998, 17958, 14395, 508, 9463, 480, 14756, 503, 25051, 351, 9463, 480, 420, 369, 489, 29219, 27818, 25263, 510, 9463, 480, 24724, 454, 825, 524, 18998, 19867, 356, 27310, 16583, 30936, 12916, 497, 454, 825, 546, 18998, 19867, 356, 27310, 14395, 490, 16583, 30936, 12916, 497, 8147, 16533, 484, 13213, 498, 18713, 508, 29219, 13213, 498, 18713, 508, 14756, 503, 16583, 30936, 420, 364, 481, 17958, 23989, 20001, 378, 19764, 493, 454, 825, 552, 18998, 18713, 508, 28996, 16583, 30936, 420, 364, 481, 17958, 7511, 12916, 491, 419, 377, 362, 454, 9563, 16583, 30936, 7511, 16583, 30936, 12916, 497, 9463, 359, 20069, 21928, 420, 364, 481, 17958, 12571, 492, 19867, 491, 25263, 504, 420, 364, 481, 17958, 19867, 356, 27310, 692, 273, 18998, 8873, 10429, 367, 421, 498, 362, 21211, 454, 825, 513, 18998, 16533, 484, 8873, 12571, 492, 30837, 351, 7511, 29219, 8147, 13213, 498, 18713, 508, 14756, 503, 16583, 30936, 420, 364, 481, 17958, 23989, 20001, 378, 19764, 493, 454, 825, 536, 18998, 14756, 497, 23521, 509, 16583, 30936, 692, 274, 18998, 16583, 30936, 420, 364, 481, 17958, 23989, 20001, 378, 19764, 493, 16088, 454, 825, 9226, 30006, 493, 14748, 16583, 30936, 420, 364, 481, 17958, 23989, 20001, 378, 19764, 493, 7511, 421, 25693, 15159, 20069, 29219, 692, 20701, 454, 258, 476, 476, 14756, 481, 18263, 510, 16088, 19540, 503, 22047, 16583, 30936, 8147, 10254, 353, 13161, 511, 418, 490, 485, 27936, 7511, 23946, 368, 421, 378, 482, 15159, 12571, 355, 31271, 508, 30678, 29873, 23946, 368, 32512, 454, 3698, 6502, 16325, 2187, 825, 952, 1003, 13843, 476, 1240, 912, 1038, 2132, 1412, 15159, 29873, 23946, 368, 32512, 7055, 825, 3116, 912, 1038, 2132, 1412, 21251, 15159, 29873, 23946, 368, 32512, 262, 7531, 720, 815, 6502, 263, 4097, 994, 2745, 263, 720, 2020, 12163, 275, 18998, 16583, 30936, 7511, 14756, 497, 23521, 509, 16088, 454, 825, 513, 18998, 16583, 30936, 12916, 497, 19867, 356, 27310, 14395, 490, 454, 825, 536, 18998, 421, 479, 485, 28996, 8873, 454, 20701, 454, 3698, 30775, 273, 10031, 825, 1820, 3488, 11277, 5073, 825, 2132, 476, 1015, 454, 825, 1820, 3488, 25834, 262, 9239, 2745, 6600, 15635, 273, 3890, 9239, 258, 476, 14756, 481, 18263, 510, 16088, 19540, 503, 22047, 16583, 30936, 8147, 418, 365, 480, 272, 266, 273, 266, 274, 266, 907, 25520, 21251, 420, 25693, 27962, 30678, 1911, 876, 454, 3698, 2040, 272, 10031, 825, 1003, 815, 476, 271, 454, 825, 585, 1535, 538, 2039, 263, 1911, 4905, 2187, 1038, 1003, 6834, 1535, 454, 1038, 952, 1003, 3436, 476, 1911, 876, 912, 2018, 1003, 20699, 1535, 454, 2018, 2132, 1003, 267, 1535, 910, 476, 272, 476, 1948, 5124, 16583, 30936, 18809, 23746, 23284, 13213, 498, 18713, 508, 14035, 504, 14748, 29219, 8147, 30006, 493, 14748, 18263, 489, 25426, 368, 17958, 20881, 501, 9463, 371, 421, 504, 498, 19764, 478, 8147, 31006, 12571, 492, 13213, 498, 18713, 508, 7511, 15159, 22047, 30317, 14756, 482, 7531, 338, 815, 2040, 272, 4590, 2745, 4433, 994, 0, 258, 8606, 17575, 476, 2433, 7127, 18258, 454, 258, 11261, 476, 2433, 476, 1001, 279, 270, 278, 270, 2767, 454, 5814, 795, 5459, 19638, 12248, 815, 476, 271, 454, 258, 29635, 377, 377, 24662, 17958, 16043, 371, 12255, 29004, 362, 454, 5976, 1930, 3488, 32220, 12528, 12173, 12459, 5459, 3299, 17683, 8782, 583, 325, 268, 279, 10807, 607, 535, 912, 825, 2012, 12774, 815, 795, 5459, 269, 2903, 6600, 994, 2745, 28442, 12774, 2020, 258, 29635, 377, 377, 24662, 27730, 13200, 509, 32517, 350, 418, 479, 363, 454, 5976, 1930, 3488, 32220, 30700, 318, 16769, 12459, 5459, 3299, 17683, 8782, 583, 325, 268, 279, 10807, 607, 535, 912, 825, 9623, 12774, 815, 795, 5459, 269, 2903, 6600, 2020, 2903, 12173, 815, 15234, 476, 1948, 22614, 503, 375, 25051, 499, 420, 368, 355, 16043, 371, 12571, 491, 454, 12528, 318, 16769, 815, 32582, 476, 1948, 29635, 368, 355, 16043, 371, 31284, 27730, 13200, 509, 32517, 350, 418, 479, 363, 454, 476, 1948, 476, 28884, 418, 371, 375, 20693, 510, 7511, 27730, 13200, 509, 32517, 350, 418, 479, 363, 454, 12528, 318, 16769, 815, 32582, 567, 1948, 29635, 368, 355, 16043, 371, 31284, 7511, 27730, 13200, 509, 32517, 350, 418, 479, 363, 454, 567, 1948, 476, 12916, 379, 17958, 418, 371, 375, 20693, 510, 27730, 13200, 509, 7511, 418, 361, 350, 12255, 8147, 417, 354, 377, 419, 376, 500, 19540, 503, 27730, 9463, 371, 454, 258, 476, 18777, 378, 419, 377, 362, 419, 503, 375, 25051, 499, 419, 367, 375, 14756, 509, 454, 3698, 7127, 10031, 825, 1247, 6936, 912, 1038, 1948, 28859, 359, 490, 13644, 479, 420, 368, 355, 16043, 371, 12571, 491, 15159, 12571, 355, 11858, 502, 21928, 454, 1038, 2518, 4452, 12173, 454, 1038, 4452, 12173, 815, 3403, 3488, 13644, 371, 27447, 24662, 17958, 16043, 371, 12571, 491, 16088, 5073, 1038, 585, 2012, 538, 2012, 12774, 912, 2018, 952, 4452, 12173, 11203, 2012, 912, 3546, 1820, 3488, 17958, 16043, 371, 12571, 491, 21251, 11858, 502, 21928, 8147, 13644, 371, 19404, 491, 13161, 364, 27447, 24662, 5405, 479, 5073, 3546, 3136, 454, 2018, 3116, 912, 3546, 1948, 28859, 359, 490, 13644, 479, 27447, 24662, 7511, 21382, 484, 419, 510, 479, 15159, 12571, 355, 27882, 352, 419, 350, 362, 454, 3546, 1247, 6936, 912, 7386, 4452, 7272, 817, 5320, 815, 3403, 3488, 13644, 371, 27447, 24662, 21382, 484, 419, 510, 479, 16088, 5073, 7386, 952, 4452, 7272, 817, 5320, 11203, 1193, 28442, 12774, 314, 2903, 12173, 316, 2187, 13376, 1820, 3488, 21382, 484, 419, 510, 479, 421, 498, 503, 13644, 363, 8147, 13644, 371, 19404, 491, 13161, 364, 27447, 24662, 5405, 479, 5073, 7386, 3116, 912, 13376, 1820, 3488, 419, 503, 375, 25051, 499, 29873, 20693, 509, 256, 4939, 338, 418, 361, 351, 13213, 492, 12916, 379, 17958, 419, 367, 375, 14756, 509, 262, 4939, 4452, 12173, 994, 13376, 2132, 692, 3698, 9623, 6958, 4233, 10031, 825, 1247, 6936, 912, 1038, 1820, 3488, 272, 18998, 418, 509, 354, 419, 506, 489, 27730, 13200, 509, 14826, 273, 18998, 418, 371, 375, 20693, 510, 27730, 13200, 509, 14826, 274, 18998, 10254, 510, 30522, 353, 27730, 13200, 509, 5073, 1038, 1247, 6936, 912, 2018, 703, 15220, 5366, 815, 3403, 3488, 13644, 371, 20881, 487, 418, 489, 358, 5073, 2018, 952, 703, 15220, 5366, 11203, 1412, 272, 262, 543, 703, 15220, 5366, 11203, 1412, 273, 262, 543, 703, 15220, 5366, 11203, 1412, 274, 12466, 3546, 1820, 3488, 27447, 24662, 20069, 13644, 363, 8147, 13644, 371, 19404, 491, 13161, 364, 27447, 24662, 5405, 479, 5405, 479, 5073, 2018, 3116, 912, 3546, 2736, 692, 1038, 1948, 17276, 487, 497, 22287, 364, 420, 368, 355, 16043, 371, 12571, 491, 31284, 19867, 478, 20069, 27730, 13200, 509, 32517, 350, 418, 479, 363, 454, 1038, 952, 703, 15220, 5366, 2652, 1412, 272, 12466, 2018, 2518, 3593, 318, 16769, 454, 2018, 3593, 318, 16769, 815, 9623, 12774, 314, 2903, 12173, 316, 476, 1948, 13127, 364, 484, 420, 368, 355, 16043, 371, 31284, 7511, 32517, 350, 418, 479, 363, 11858, 502, 24662, 22047, 9463, 502, 19404, 493, 454, 2018, 1820, 263, 12528, 318, 16769, 994, 2018, 703, 272, 815, 3403, 3488, 30522, 353, 18713, 508, 420, 377, 355, 421, 498, 362, 8147, 418, 490, 487, 10524, 375, 418, 482, 493, 421, 498, 362, 13213, 498, 18713, 508, 31968, 13601, 31271, 480, 17210, 1038, 1948, 17276, 371, 375, 20693, 510, 27730, 13200, 509, 32517, 350, 418, 479, 363, 454, 1038, 952, 703, 15220, 5366, 2652, 1412, 273, 12466, 2018, 544, 815, 6936, 454, 2018, 1247, 544, 912, 3546, 1247, 6936, 912, 7386, 2875, 318, 16769, 815, 31460, 7386, 1948, 13127, 364, 484, 28884, 11858, 502, 24662, 7511, 32517, 350, 418, 479, 363, 9463, 502, 29873, 21211, 10429, 372, 454, 7386, 2875, 12173, 815, 3403, 3488, 13644, 371, 27447, 24662, 27730, 13200, 509, 417, 356, 497, 12571, 491, 16088, 5073, 7386, 2119, 281, 476, 1948, 476, 10254, 353, 13161, 511, 27447, 24662, 32517, 350, 418, 479, 363, 15159, 12571, 355, 31033, 12571, 486, 21550, 376, 19764, 493, 28884, 418, 365, 480, 454, 13376, 2875, 318, 720, 815, 703, 9272, 3488, 13644, 371, 27447, 24662, 27730, 13200, 509, 23946, 368, 421, 378, 482, 16088, 29125, 7386, 4849, 28759, 912, 13376, 1820, 3488, 23946, 368, 421, 378, 482, 20992, 419, 374, 363, 12255, 21211, 4970, 498, 21251, 420, 25693, 20069, 21211, 31033, 8147, 13644, 371, 19404, 491, 13161, 364, 27447, 24662, 27730, 13200, 509, 32517, 350, 418, 479, 363, 5073, 13376, 3136, 454, 7386, 2119, 912, 13376, 2875, 4671, 601, 815, 703, 9272, 3488, 13644, 371, 27447, 24662, 27730, 13200, 509, 13200, 369, 13644, 507, 9463, 371, 419, 510, 479, 16088, 29125, 7386, 4849, 28759, 912, 13376, 1820, 3488, 13200, 369, 13644, 507, 9463, 371, 419, 510, 479, 18263, 509, 9463, 359, 420, 25693, 20992, 419, 374, 363, 12255, 21211, 4970, 498, 21251, 420, 25693, 20069, 21211, 31033, 8147, 13644, 371, 19404, 491, 13161, 364, 27447, 24662, 27730, 13200, 509, 32517, 350, 418, 479, 363, 5073, 13376, 3136, 454, 7386, 2875, 318, 16769, 9131, 4067, 11172, 815, 2875, 12173, 454, 7386, 2875, 318, 16769, 9131, 720, 11172, 815, 2875, 318, 720, 454, 7386, 2875, 318, 16769, 9131, 339, 601, 11172, 815, 2875, 4671, 601, 454, 7386, 1820, 3488, 28884, 418, 371, 375, 20693, 510, 7511, 27730, 13200, 509, 32517, 350, 418, 479, 363, 3299, 2875, 318, 16769, 267, 694, 335, 8782, 5073, 7386, 1820, 3488, 19867, 356, 27310, 10254, 353, 13161, 511, 3299, 3593, 318, 16769, 994, 7386, 1820, 263, 30700, 318, 16769, 994, 7386, 585, 1535, 538, 3593, 318, 16769, 912, 13376, 952, 1535, 9131, 4067, 11172, 2652, 2875, 318, 16769, 9131, 4067, 11172, 543, 1535, 9131, 720, 11172, 2652, 2875, 318, 16769, 9131, 720, 11172, 543, 1535, 9131, 339, 601, 11172, 2652, 26444, 4449, 3546, 2875, 318, 16769, 9131, 339, 601, 11172, 912, 23351, 1820, 3488, 13644, 354, 27730, 13200, 509, 32517, 350, 418, 479, 363, 26266, 366, 11858, 502, 21928, 8147, 13644, 371, 19404, 491, 13161, 364, 27447, 24662, 5405, 479, 5405, 479, 5073, 23351, 2736, 454, 7386, 1948, 476, 1293, 476, 18777, 350, 12255, 418, 366, 350, 20069, 420, 369, 371, 30853, 17958, 454, 13376, 3116, 912, 23351, 2518, 1293, 454, 23351, 1293, 6834, 476, 272, 476, 1948, 17276, 371, 375, 20693, 510, 27730, 13200, 509, 27730, 9463, 371, 454, 23351, 1820, 6262, 870, 994, 23351, 1293, 19571, 815, 1193, 6262, 870, 994, 23351, 1293, 19571, 815, 1293, 19571, 25331, 3286, 263, 274, 267, 1412, 271, 5073, 23351, 7329, 19571, 815, 1412, 6853, 11277, 275, 262, 1341, 1293, 19571, 454, 23351, 2875, 318, 16769, 9131, 30700, 16182, 11172, 815, 7329, 19571, 454, 23351, 3593, 318, 16769, 6910, 263, 30700, 318, 16769, 264, 476, 1948, 13127, 364, 484, 13161, 364, 417, 375, 374, 7511, 27730, 13200, 509, 32517, 350, 418, 479, 363, 11858, 502, 24662, 420, 368, 355, 16043, 371, 27730, 13200, 509, 32517, 350, 418, 479, 363, 31284, 454, 23351, 1820, 263, 12528, 318, 16769, 994, 23351, 1820, 3488, 27730, 13200, 509, 32517, 350, 418, 479, 363, 418, 371, 375, 20693 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1318, 11850, 300, 10235, 19906, 267, 2451, 267, 22141, 1341, 476, 272, 267, 1318, 11850, 8679, 10926, 18878, 20704, 16797, 31374, 17301, 26514, 2855, 267, 703, 2451, 267, 703, 1318, 994, 19127, 842, 1775, 815, 2451, 267, 795, 815, 1318, 3248, 842, 22141, 815, 2855, 27007, 3847, 1341, 1318, 264, 1315, 476, 273, 316, 16963, 6112, 630, 328, 10922, 795, 994, 19127, 6112, 630, 1551, 5157, 4940, 24718, 2414, 9638, 643, 582, 264, 2999, 476, 271, 994, 19127, 10030, 328, 3248, 10926, 6112, 630, 1551, 14728, 4940, 24718, 2414, 9638, 643, 582, 264, 3436, 476, 271, 994, 19127, 734, 329, 3248, 10926, 604, 630, 328, 10922, 795, 994, 19127, 842, 10917, 815, 2855, 5157, 30092, 1551, 5157, 316, 815, 2855, 14728, 30092, 1551, 14728, 316, 815, 10917, 16963, 10030, 328, 3248, 734, 329, 3248, 8679, 10926, 604, 630, 3847, 2999, 795, 994, 19127, 30022, 31374, 19906, 267, 2451, 267, 795, 11850, 10926, 604, 630, 328, 2999, 1318, 994, 19127, 30022, 31374, 19906, 267, 1775, 267, 1318, 11850, 8679, 10926, 18878, 20704, 1261, 777, 1518, 17301, 26514, 2855, 267, 703, 1775, 267, 703, 562, 994, 19127, 339, 787, 454, 19127, 842, 10917, 815, 2855, 5157, 30092, 842, 795, 815, 476, 273, 2608, 1775, 16963, 6112, 630, 329, 10922, 562, 994, 19127, 604, 630, 329, 2999, 562, 30974, 2855, 14728, 316, 2999, 2855, 14728, 1341, 476, 272, 7481, 19127, 329, 10030, 3248, 10926, 604, 630, 31184, 13843, 2855, 14728, 7481, 19127, 19874, 3248, 10926, 1551, 14728, 1315, 476, 273, 316, 815, 2855, 14728, 30092, 329, 2608, 284, 476, 273, 3248, 10926, 1551, 14728, 1315, 476, 273, 316, 815, 10917, 3248, 8679, 322, 2255, 630, 19340, 11073, 8170, 305, 1052, 2750, 4003, 20093, 994, 19127, 3519, 18030, 269, 2237, 18118, 2891, 26161, 4934, 540, 645, 2432, 14307, 20093, 11850, 8679, 10926, 18878, 20704, 1261, 777, 31374, 17301, 26514, 2855, 994, 19127, 1721, 630, 842, 1775, 815, 2855, 11482, 2654, 1315, 476, 273, 282, 1775, 13843, 476, 271, 282, 4534, 328, 994, 19127, 3891, 777, 1518, 19906, 267, 1775, 267, 2855, 11482, 2654, 910, 476, 272, 11850, 10926, 1721, 630, 842, 1775, 815, 2855, 11482, 2654, 910, 476, 273, 282, 1775, 13843, 476, 271, 282, 4534, 328, 994, 19127, 842, 10917, 815, 2855, 5157, 1341, 476, 272, 30092, 1551, 5157, 1341, 476, 272, 316, 815, 2855, 314, 271, 30092, 1551, 314, 271, 316, 815, 10917, 16963, 3891, 777, 1518, 19906, 267, 476, 271, 267, 1775, 11850, 8679, 10926, 18878, 20704, 25478, 31374, 17301, 26514, 2855, 994, 19127, 842, 26514, 1293, 815, 1007, 703, 314, 1551, 8160, 1314, 3890, 1341, 476, 272, 316, 16963, 1721, 630, 842, 1775, 815, 476, 271, 282, 1775, 2999, 2855, 11482, 2654, 282, 1341, 266, 328, 994, 19127, 10030, 12248, 314, 1551, 5157, 14963, 3248, 10926, 842, 795, 815, 476, 271, 16963, 1721, 630, 842, 1775, 815, 476, 271, 282, 1775, 2999, 1293, 11482, 2654, 282, 1341, 266, 328, 994, 19127, 1721, 630, 842, 737, 815, 476, 271, 282, 737, 2999, 1293, 5157, 22049, 1341, 266, 330, 994, 19127, 1551, 14728, 10030, 316, 815, 1775, 3248, 8679, 8679, 10926, 19127, 842, 1775, 267, 795, 3248, 842, 26514, 10917, 815, 1007, 703, 314, 1551, 11482, 2654, 316, 16963, 1721, 630, 842, 6521, 815, 476, 4029, 282, 6521, 3436, 910, 272, 282, 4534, 3333, 3424, 994, 19127, 329, 815, 476, 271, 16963, 1721, 630, 328, 815, 476, 271, 282, 1775, 2999, 2855, 11482, 2654, 282, 1341, 266, 328, 994, 19127, 321, 944, 1847, 815, 630, 1551, 5157, 316, 24177, 6521, 264, 13843, 476, 271, 16963, 604, 630, 3333, 3424, 2652, 476, 271, 7790, 8206, 332, 913, 2433, 1847, 994, 19127, 1551, 5157, 910, 795, 316, 815, 2855, 5157, 30092, 8679, 12828, 454, 19127, 31184, 14728, 10030, 316, 815, 2855, 5157, 30092, 8679, 10926, 26161, 5861, 4878, 6025, 11391, 267, 476, 271, 267, 2855, 267, 2855, 11482, 2654, 910, 795, 267, 795, 11850, 8679, 10926, 18878, 20704, 21207, 564, 31374, 17301, 26514, 2855, 994, 19127, 2260, 19943, 2450, 1883, 912, 2260, 5044, 476, 272, 268, 4200, 6902, 476, 1015, 11369, 1115, 454, 2260, 2855, 520, 476, 1911, 268, 1960, 6902, 476, 736, 11369, 1115, 454, 2260, 3092, 563, 2260, 570, 7495, 302, 281, 25956, 7954, 547, 3313, 19943, 2450, 2496, 842, 1003, 8170, 289, 3089, 1115, 815, 476, 1015, 3248, 8266, 283, 842, 285, 1267, 815, 1007, 5903, 283, 842, 285, 3890, 3248, 8266, 283, 842, 285, 26514, 11369, 1115, 815, 1007, 5903, 283, 842, 285, 314, 11133, 8170, 289, 3089, 1115, 316, 16963, 1721, 630, 842, 1775, 815, 476, 271, 282, 1775, 2999, 1003, 8170, 289, 3089, 1115, 282, 1341, 266, 328, 994, 19127, 321, 3089, 1115, 5157, 316, 815, 1007, 5903, 283, 842, 285, 3890, 3248, 10926, 1721, 630, 842, 1775, 815, 476, 271, 282, 1775, 2999, 2855, 11482, 2654, 282, 1341, 266, 328, 994, 19127, 842, 4994, 815, 2855, 5157, 316, 1315, 1003, 8170, 289, 3089, 1115, 3248, 10926, 1721, 630, 842, 1775, 815, 476, 271, 282, 1775, 2999, 1003, 8170, 289, 3089, 1115, 282, 1341, 266, 328, 994, 19127, 842, 26514, 10917, 815, 11369, 1115, 5157, 4940, 2414, 26161, 3890, 3248, 11900, 1068, 542, 31374, 19906, 11850, 10926, 1551, 815, 1267, 269, 2414, 26161, 3890, 3248, 10926, 18878, 20704, 6301, 30415, 26514, 26571, 994, 19127, 3519, 18030, 269, 2237, 18118, 2891, 296, 2433, 23453, 542, 31374, 744, 3799, 317, 273, 264, 8442, 3248, 3519, 18030, 269, 2237, 18118, 2891, 289, 2433, 32686, 1076, 31374, 744, 3799, 317, 273, 264, 8442, 3248, 3519, 18030, 269, 2237, 18118, 2891, 306, 2433, 19139, 31374, 744, 3799, 317, 273, 264, 8442, 3248, 3519, 18030, 269, 2237, 18118, 2891, 300, 2433, 8585, 613, 31374, 744, 3799, 331, 3913, 264, 8442, 3248, 3519, 18030, 269, 2237, 18118, 2891, 304, 2433, 16797, 31374, 744, 3799, 331, 3913, 264, 8442, 3248, 3519, 18030, 269, 2237, 18118, 2891, 295, 2433, 1261, 777, 31374, 744, 3799, 331, 3913, 264, 8442, 3248, 3519, 18030, 269, 2237, 18118, 2891, 290, 2433, 25478, 31374, 744, 3799, 264, 8442, 3248, 3519, 18030, 269, 2237, 18118, 2891, 308, 2433, 21207, 564, 31374, 744, 3799, 17983, 32007, 3519, 18030, 269, 2237, 18118, 2891, 1692, 1082, 2609, 8119, 32007, 842, 26514, 2855, 815, 1007, 703, 314, 11133, 8170, 292, 6123, 30092, 305, 24655, 28219, 815, 1007, 15932, 3890, 16963, 3519, 18030, 269, 2237, 18118, 2891, 17653, 908, 4351, 1239, 29389, 32007, 1721, 630, 842, 1775, 815, 476, 271, 282, 1775, 2999, 1003, 8170, 292, 6123, 282, 1341, 266, 328, 994, 19127, 1551, 5157, 316, 815, 28219, 269, 9202, 263, 1911, 11850, 10926, 1873, 3558, 630, 14607, 3596, 332, 994, 19127, 13826, 834, 296, 13426, 11900, 1068, 542, 31374, 19906, 11850, 19874, 3248, 13826, 834, 289, 13426, 289, 889, 1076, 31374, 19906, 11850, 19874, 3248, 13826, 834, 306, 13426, 5353, 3005, 31374, 19906, 11850, 19874, 3248, 13826, 834, 300, 13426, 300, 10235, 31374, 19906, 267, 476, 271, 267, 2855, 11482, 2654, 910, 476, 272, 11850, 19874, 3248, 13826, 834, 304, 13426, 30022, 31374, 19906, 267, 476, 271, 267, 2855, 11482, 2654, 910, 476, 272, 11850, 19874, 3248, 13826, 834, 295, 13426, 3891, 777, 31374, 19906, 11850, 19874, 3248, 13826, 834, 290, 13426, 15575, 532, 31374, 19906, 11850, 19874, 3248, 13826, 834, 305, 13426, 19874, 3248, 13826, 834, 308, 13426, 289, 3089, 564, 31374, 19906, 11850, 19874, 3248, 10926, 1721, 630, 842, 1775, 815, 476, 271, 282, 1775, 2999, 2855, 11482, 2654, 282, 1341, 266, 328, 994, 19127, 3519, 18030, 269, 2237, 18118, 19906, 5157, 8079, 3248, 10926, 3519, 18030, 269, 2237, 18118, 2891, 18208, 1022, 1883, 547, 14827, 1701, 11850, 8679, 8679, 10926, 1892, 16294, 11126, 263, 2998, 531, 286, 1040, 5620, 10288, 3688, 693, 1312, 7475, 609, 24450, 4990, 547, 3592, 3368, 519, 1297, 540, 10467, 630, 14140, 1900, 2509, 7732, 5334, 677, 1040, 8564, 1295, 543, 3193, 21276, 569, 538, 5542, 4990, 267, 9236, 1152, 519, 14758, 540, 1142, 6292, 540, 3403, 3688, 547, 1295, 267, 519, 3152, 547, 3193, 547, 4688, 835, 8772, 593, 16198, 269, 630, 9202, 1900, 568, 547, 1832, 8424, 10288, 547, 2057, 519, 1985, 10116, 281, 1101, 1900, 547, 1261, 2355, 677, 4700, 7788, 1195, 5944, 2500, 281, 834, 321, 889, 17331, 909, 257, 10457, 269, 594, 614, 622, 593, 844, 6506, 677, 781, 3677, 15652, 269, 1107, 1109, 326, 9445, 2041, 731, 9484, 476, 2537, 1412, 1704, 693, 476, 280, 281, 3607, 454, 1892, 630, 296, 4397, 834, 1492, 23904, 1935, 547, 24450, 883, 513, 24050, 257, 547, 581, 29499, 538, 693, 2547, 835, 2626, 910, 4769, 1405, 1294, 602, 269, 26094, 281, 1491, 519, 533, 612, 574, 2065, 270, 9418, 2065, 1935, 281, 1175, 8263, 519, 1126, 540, 2362, 10862, 547, 723, 10862, 936, 519, 1007, 6221, 267, 543, 1152, 1376, 9236, 519, 8545, 2899, 519, 834, 327, 580, 4554, 10862, 2619, 547, 513, 6978, 257, 568, 1634, 4700, 1107, 1109, 326, 9445, 2041, 731, 9484, 476, 2537, 1412, 1704, 693, 476, 1015, 281, 4962, 454, 1892, 2334, 1281, 711, 1413, 899, 513, 1697, 19389, 4990, 547, 803, 269, 679, 25769, 3820, 28293, 20324, 889, 1076, 5334, 677, 1107, 1109, 335, 777, 541, 9579, 334, 9484, 476, 2537, 1412, 1704, 693, 476, 1691, 281, 6860, 454, 1892, 7711, 326, 9445, 2041, 731, 2334, 5654, 899, 621, 2115, 547, 581, 606, 2626, 256, 2433, 303, 1107, 1109, 307, 13970, 9484, 476, 2537, 1412, 1704, 693, 476, 2420, 281, 6795, 454, 1892, 7711, 303, 777, 541, 9579, 328, 2422, 519, 1982, 585, 3181, 19982, 519, 6620, 282, 594, 26924, 596, 621, 1568, 269, 1107, 1109, 307, 13970, 9484, 476, 2537, 1412, 1704, 693, 476, 2537, 281, 876, 692, 2162, 23453, 542, 4990, 692, 2791, 1810, 1405, 991, 519, 9206, 4756, 15044, 269, 5502, 540, 15044, 815, 3020, 267, 596, 666, 3274, 2736, 856, 540, 519, 8520, 780, 6624, 2053, 9206, 4632, 666, 581, 14284, 267, 543, 1267, 538, 12863, 267, 811, 28505, 3435, 269, 11408, 1413, 19035, 569, 693, 9206, 4632, 780, 2162, 8585, 613, 4990, 692, 763, 1297, 476, 1839, 538, 703, 26514, 10917, 815, 1007, 703, 314, 1839, 316, 5654, 17062, 269, 4208, 568, 621, 476, 1839, 2496, 9616, 602, 713, 949, 1291, 547, 8870, 24492, 267, 513, 1455, 8486, 6420, 538, 19467, 4990, 30582, 1384, 842, 22141, 815, 630, 2431, 1341, 2451, 264, 1315, 476, 273, 282, 7531, 763, 4368, 568, 2241, 2614, 1384, 842, 22141, 815, 2451, 1341, 630, 2431, 910, 2451, 264, 1315, 476, 273, 282, 7531, 2162, 25478, 4990, 692, 763, 6388, 782, 665, 919, 606, 5044, 540, 2450, 2855, 8160, 1314, 3890, 1341, 476, 272, 607, 4859, 269, 898, 1131, 581, 1434, 547, 849, 1491, 883, 2272, 2855, 8160, 514, 19572, 547, 2057, 782, 20814, 1454, 811, 2230, 982, 2556, 780, 13010, 267, 519, 1699, 6388, 786, 16154, 952, 519, 3403, 3568, 2942, 2338, 269, 2334, 781, 1776, 2601, 547, 2015, 2855, 8160, 514, 3890, 1932, 780, 1012, 23453, 542, 4990, 692, 2791, 2408, 547, 581, 1603, 519, 3001, 3693, 14578, 267, 799, 3884, 1405, 2877, 267, 543, 607, 5018, 972, 568, 513, 15044, 9206, 596, 1810, 1405, 991, 267, 865, 596, 666, 2736, 856, 540, 519, 8520, 547, 1747, 519, 3001, 3693, 780, 825, 11979, 20704, 23453, 542, 31374, 17301, 26514, 2855, 994, 19127, 1721, 630, 842, 1775, 815, 476, 272, 282, 1775, 2999, 2855, 11482, 2654, 282, 1341, 266, 328, 994, 19127, 842, 10917, 815, 2855, 5157, 30092, 842, 795, 815, 1775, 910, 476, 272, 16963, 6112, 630, 329, 13843, 476, 271, 994, 19127, 604, 630, 31184, 13843, 2855, 14728, 8079, 567, 2736, 282, 12262, 1336, 24450, 1448, 692, 1551, 14728, 1341, 476, 272, 316, 815, 2855, 14728, 30092, 734, 329, 3248, 8679, 1551, 14728, 1341, 476, 272, 316, 815, 10917, 3248, 8679, 348, 7531, 1012, 32686, 1076, 4990, 692, 32207, 958, 19389, 4990, 4016, 547, 2220, 6260, 11105, 2609, 269, 898, 666, 581, 20979, 676, 9477, 519, 2063, 23396, 780, 825, 11979, 20704, 32686, 1076, 31374, 17301, 26514, 2855, 994, 19127, 842, 1439, 303, 339, 815, 2855, 11482, 2654, 910, 476, 272, 3248, 6112, 630, 754, 303, 339, 3436, 476, 271, 994, 19127, 842, 2063, 18933, 777, 815, 476, 271, 3248, 1721, 630, 842, 795, 815, 476, 271, 282, 795, 2999, 1439, 303, 339, 282, 1341, 266, 329, 994, 19127, 604, 630, 1551, 14728, 316, 3436, 2855, 14728, 266, 272, 7481, 19127, 842, 10917, 815, 2855, 14728, 30092, 1551, 14728, 316, 815, 2855, 14728, 266, 272, 30092, 1551, 14728, 266, 272, 316, 815, 10917, 3248, 18431, 18933, 777 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 646, 568, 5280, 547, 2671, 1010, 1920, 779, 1995, 540, 1373, 16091, 543, 2348, 547, 25176, 741, 1753, 547, 2661, 538, 513, 21345, 3786, 269, 11088, 267, 713, 1995, 540, 4687, 4667, 547, 5305, 1945, 538, 670, 28045, 269, 1261, 2306, 1776, 7206, 267, 713, 942, 8204, 519, 8788, 543, 4708, 789, 849, 4810, 693, 1753, 563, 263, 16039, 269, 667, 4842, 520, 267, 513, 26060, 20951, 1014, 2278, 540, 5339, 5708, 9089, 538, 1840, 547, 1453, 779, 2835, 267, 1500, 513, 3001, 543, 24808, 3210, 547, 11686, 779, 4080, 8292, 267, 799, 596, 666, 1224, 1934, 8094, 1607, 1433, 6645, 519, 1650, 540, 590, 11535, 267, 513, 20951, 1014, 2370, 8004, 4171, 3993, 814, 1044, 1033, 7134, 585, 711, 2348, 4574, 269, 590, 11535, 31191, 585, 1200, 3993, 1700, 4289, 2287, 547, 1200, 5639, 1586, 543, 1586, 593, 519, 16460, 3684, 267, 530, 5109, 1352, 1223, 2285, 1200, 1378, 4574, 547, 631, 4821, 269, 2991, 3275, 540, 3843, 547, 3142, 3007, 547, 1010, 7385, 779, 2013, 267, 590, 11535, 779, 4651, 6368, 30650, 1394, 689, 513, 3377, 6728, 269, 2991, 10023, 1200, 3993, 779, 1650, 267, 590, 11535, 543, 1200, 631, 4821, 616, 22653, 1243, 563, 1607, 1650, 849, 6212, 593, 513, 20951, 1014, 1126, 269, 28741, 22939, 1010, 2395, 14941, 2719, 593, 513, 2699, 5068, 19943, 269, 1261, 568, 711, 4712, 547, 3717, 543, 519, 14941, 2719, 4667, 547, 581, 1312, 1010, 17752, 543, 1010, 4276, 547, 1753, 269, 634, 1433, 8761, 602, 713, 19943, 1500, 519, 3460, 689, 27425, 609, 28741, 269, 1284, 1451, 602, 713, 3460, 849, 3576, 1010, 3993, 543, 4651, 689, 1864, 269, 1358, 546, 27547, 543, 28741, 729, 2451, 676, 5128, 269, 2991, 1082, 14980, 3275, 538, 713, 1007, 2244, 609, 1010, 11515, 267, 28741, 779, 14941, 2719, 5555, 2337, 1864, 547, 1930, 909, 547, 1010, 23013, 918, 1551, 710, 543, 2253, 547, 12115, 563, 1607, 1650, 568, 2854, 538, 519, 1106, 540, 606, 4757, 1700, 5228, 20858, 267, 945, 814, 1175, 8452, 538, 4516, 267, 547, 1010, 3659, 700, 518, 1195, 1394, 1753, 538, 25706, 269, 20858, 8843, 827, 1010, 1101, 2395, 693, 1153, 543, 519, 4276, 646, 5433, 547, 1753, 543, 547, 1010, 19033, 998, 1010, 17028, 7458, 7585, 3057, 2917, 8930, 269, 1879, 20858, 13290, 547, 2671, 827, 519, 8930, 609, 1010, 11235, 543, 22205, 15032, 267, 646, 25395, 621, 814, 8854, 7508, 269, 2991, 513, 9992, 4842, 3406, 267, 519, 8930, 568, 1336, 543, 20858, 8843, 609, 11348, 827, 875, 968, 821, 540, 519, 1158, 779, 6574, 543, 1034, 12391, 12372, 3357, 689, 25706, 543, 594, 993, 689, 25706, 267, 1932, 3034, 290, 1301, 523, 267, 689, 6792, 267, 568, 4358, 1153, 538, 519, 772, 2529, 269, 543, 1352, 7959, 18901, 269, 1809, 1200, 7287, 547, 581, 513, 6205, 543, 1909, 2203, 585, 1200, 2370, 11078, 700, 1575, 7534, 267, 945, 786, 581, 4358, 1153, 1985, 1032, 267, 3947, 1200, 519, 10100, 1352, 2115, 547, 10994, 1312, 1153, 543, 2296, 269, 3683, 519, 1576, 540, 519, 1650, 267, 25844, 523, 12374, 6015, 1700, 332, 8221, 689, 16563, 543, 4250, 540, 1373, 751, 1078, 547, 6340, 909, 267, 3843, 1007, 1913, 543, 23578, 909, 585, 9887, 269, 4173, 4116, 1256, 2337, 1200, 2253, 547, 4001, 1200, 15032, 5053, 269, 25844, 523, 4991, 1256, 811, 3450, 1995, 950, 1352, 4422, 1753, 1142, 1554, 267, 4687, 1018, 1352, 568, 1565, 609, 700, 1575, 7534, 269, 634, 1985, 1032, 267, 7064, 547, 25844, 523, 779, 948, 267, 700, 1575, 7534, 13788, 9656, 2907, 9280, 609, 930, 1913, 547, 948, 1200, 5968, 543, 1921, 563, 1607, 1433, 8843, 519, 5380, 540, 476, 274, 1114, 19366, 1453, 1700, 300, 7559, 689, 30188, 267, 29883, 689, 9705, 267, 543, 15310, 574, 1695, 689, 28950, 807, 269, 1358, 1142, 3068, 519, 2591, 543, 20420, 540, 6028, 1753, 267, 1141, 519, 1893, 543, 2528, 941, 782, 2034, 2470, 547, 873, 267, 547, 2119, 543, 1265, 741, 1259, 538, 513, 1747, 602, 693, 1101, 2306, 1100, 2631, 269, 1358, 1142, 829, 572, 3164, 998, 519, 9933, 725, 540, 1565, 513, 1007, 1893, 267, 519, 4606, 540, 1373, 606, 16080, 3187, 543, 519, 4250, 540, 1373, 15653, 269, 16828, 267, 2219, 789, 786, 2141, 4413, 741, 1753, 2477, 267, 789, 8275, 602, 713, 1007, 1747, 666, 849, 581, 1753, 563, 763, 1453, 538, 891, 2835, 1142, 723, 513, 1114, 1995, 540, 4947, 547, 513, 1007, 2244, 547, 2119, 543, 1265, 741, 1747, 543, 1118, 513, 1753, 269, 898, 3217, 10100, 267, 6043, 543, 2182, 960, 543, 602, 19262, 2463, 269, 1284, 949, 711, 581, 2111, 547, 13104, 3214, 689, 519, 13842, 995, 4633, 789, 616, 6217, 1318, 1631, 267, 855, 693, 2547, 649, 666, 2671, 513, 1114, 5133, 1700, 821, 602, 7143, 3699, 267, 2418, 267, 11394, 547, 1174, 267, 543, 14560, 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 ]
[ 0, 288, 12550, 1893, 609, 1164, 1377, 2934, 1519, 12673, 543, 8638, 267, 2919, 676, 589, 10422, 269, 8210, 3333, 990, 693, 8734, 657, 756, 597, 12921, 538, 476, 3422, 278, 269, 661, 4916, 6579, 2177, 729, 1031, 547, 2936, 9338, 294, 5357, 476, 6924, 593, 519, 631, 268, 13136, 563, 14277, 32101, 540, 519, 10724, 14114, 686, 5034, 5678, 661, 27432, 547, 12229, 4886, 2580, 594, 17679, 269, 623, 2714, 28009, 1696, 620, 267, 538, 10724, 18112, 5034, 14451, 5426, 19932, 267, 654, 269, 8709, 3541, 7313, 601, 267, 715, 6953, 476, 3192, 275, 267, 6032, 269, 476, 275, 1704, 268, 275, 4097, 14073, 5976, 514, 552, 27432, 540, 454, 272, 269, 2999, 30726, 285, 634, 11359, 4484, 540, 519, 5259, 9904, 563, 273, 269, 2999, 3901, 24136, 285, 630, 5804, 519, 23826, 22301, 6754, 661, 6113, 657, 264, 589, 1360, 1507, 267, 28971, 267, 610, 30050, 7274, 540, 1945, 563, 763, 946, 540, 552, 27432, 568, 689, 519, 552, 27432, 1673, 12265, 1505, 540, 6169, 538, 11186, 11810, 269, 0, 291, 3554, 1180, 2681, 21249, 568, 519, 1184, 540, 10442, 519, 2681, 540, 513, 14776, 543, 26471, 621, 513, 3446, 1759, 593, 519, 14776, 779, 2681, 269, 634, 2681, 540, 513, 14776, 568, 835, 540, 519, 2185, 595, 338, 540, 14776, 2298, 267, 2059, 609, 2759, 267, 9355, 267, 543, 1286, 520, 2597, 269, 634, 2681, 540, 513, 14776, 568, 5462, 676, 519, 4527, 610, 9000, 540, 2681, 538, 519, 6149, 267, 609, 519, 5207, 2298, 19987, 1373, 4625, 2681, 1652, 563, 763, 27413, 16186, 1772, 667, 19053, 454, 291, 3554, 4637, 616, 28439, 593, 513, 4336, 602, 9832, 689, 667, 267, 799, 568, 519, 5207, 3446, 543, 6920, 513, 4625, 2681, 1652, 14776, 267, 547, 2098, 267, 799, 6920, 513, 14776, 609, 513, 1713, 2179, 540, 2681, 269, 634, 4336, 568, 5258, 883, 2947, 1292, 6688, 912, 291, 267, 661, 267, 543, 674, 281, 1452, 19987, 616, 2808, 547, 581, 2681, 1652, 543, 616, 519, 1034, 3407, 563, 294, 267, 670, 267, 594, 267, 543, 808, 281, 1452, 19987, 616, 2282, 12258, 528, 1652, 543, 723, 1152, 513, 1360, 13581, 20726, 540, 2681, 563, 298, 267, 700, 267, 543, 631, 281, 1452, 19987, 723, 513, 25861, 5835, 610, 6960, 2681, 563, 301, 267, 744, 267, 623, 267, 1627, 267, 543, 681, 281, 1452, 19987, 723, 513, 1360, 1769, 5835, 610, 6960, 2681, 563, 306, 19053, 281, 1452, 19987, 723, 513, 18476, 5835, 610, 6960, 2681, 563, 2414, 3313, 519, 2681, 3446, 540, 513, 14776, 267, 17576, 5505, 946, 513, 13387, 21249, 1062, 543, 513, 1305, 540, 4487, 10007, 267, 799, 616, 19987, 540, 1634, 2681, 9344, 269, 634, 14776, 1373, 11117, 568, 3379, 547, 519, 4487, 10007, 896, 6417, 8654, 2175, 547, 3313, 922, 2681, 3446, 563, 1103, 2489, 267, 19987, 609, 2362, 2681, 9344, 616, 811, 3407, 1317, 789, 616, 4686, 337, 543, 723, 1447, 2681, 267, 799, 568, 2808, 547, 581, 513, 16950, 269, 1717, 267, 519, 1871, 540, 513, 14776, 849, 5673, 593, 519, 824, 595, 338, 540, 14776, 2298, 267, 607, 1134, 607, 519, 2949, 2298, 540, 519, 2759, 543, 519, 14776, 779, 1286, 520, 2597, 563, 3963, 1772, 1703, 3143, 589, 267, 645, 267, 610, 595, 888, 2005, 568, 3622, 10924, 519, 5022, 589, 267, 645, 267, 543, 595, 616, 711, 1031, 538, 14776, 2681, 21249, 568, 602, 789, 941, 17543, 2451, 856, 540, 519, 4336, 607, 513, 1259, 540, 6028, 4055, 585, 519, 7872, 602, 1256, 627, 3438, 19987, 1522, 581, 4362, 538, 519, 2104, 269, 901, 3069, 5267, 602, 519, 4336, 729, 2966, 609, 519, 1620, 602, 621, 568, 2009, 602, 19987, 609, 513, 1377, 540, 2681, 16531, 3564, 1018, 568, 4867, 1634, 547, 2291, 1223, 581, 1336, 563, 2252, 513, 14776, 941, 547, 581, 4362, 602, 729, 1256, 811, 2681, 1652, 982, 513, 667, 3766, 24612, 14776, 267, 621, 1223, 5732, 581, 2016, 606, 589, 3446, 269, 901, 1131, 5815, 602, 621, 568, 519, 17642, 652, 14776, 1634, 547, 2291, 267, 543, 1131, 2693, 581, 5393, 4686, 543, 3407, 563, 4407, 621, 568, 6157, 2009, 602, 1256, 627, 3438, 19987, 1223, 581, 4362, 538, 519, 2104, 267, 621, 568, 849, 1271, 547, 4063, 602, 19987, 609, 513, 1360, 1164, 1377, 540, 2681, 16531, 616, 2907, 5393, 4686, 543, 3407, 269, 18924, 4637, 602, 616, 28439, 667, 267, 661, 267, 543, 674, 616, 2808, 547, 581, 4625, 2681, 1652, 267, 543, 723, 1100, 20559, 1043, 5835, 610, 6960, 27280, 269, 1452, 19987, 616, 3810, 17028, 7458, 585, 741, 9355, 543, 21386, 267, 543, 616, 2808, 547, 581, 930, 540, 519, 1034, 3407, 19987, 538, 519, 1158, 563, 288, 5903, 2986, 476, 1015, 12085, 1677, 5901, 769, 9650, 6168, 27339, 7822, 912, 268, 634, 2681, 540, 513, 14776, 4016, 547, 519, 2179, 540, 2681, 1459, 538, 519, 6149, 267, 799, 568, 3335, 6027, 593, 513, 4336, 689, 667, 547, 2098, 563, 268, 634, 2681, 4336, 585, 19987, 9832, 689, 667, 267, 799, 568, 519, 5207, 543, 6986, 560, 2681, 1652, 3446, 267, 547, 2098, 267, 799, 814, 513, 18476, 5835, 610, 6960, 2681, 563, 268, 589, 14776, 609, 513, 2362, 2681, 3446, 786, 723, 1447, 2681, 543, 581, 811, 3407, 982, 513, 14776, 609, 513, 2539, 2681, 3446, 563, 268, 634, 2681, 540, 513, 14776, 666, 581, 4299, 676, 519, 4527, 540, 23606, 610, 3114, 2609, 538, 519, 6149, 267, 971, 607, 9436, 610, 18664, 517, 563, 268, 18924, 4637, 609, 513, 5835, 610, 6960, 2681, 616, 3335, 1447, 3407, 982, 2681, 1652, 19987, 267, 855, 666, 1869, 581, 4190, 543, 14909, 4470, 593, 519, 13283, 543, 6578, 563, 268, 634, 2681, 540, 513, 14776, 666, 849, 581, 4299, 676, 519, 4259, 543, 4496, 1031, 538, 519, 14446, 267, 609, 930, 8407, 7393, 519, 2681, 540, 519, 6149, 543, 1866, 9633, 532, 621, 563, 268, 634, 2681, 540, 513, 14776, 666, 581, 2352, 547, 8308, 9794, 1510, 1697, 21249, 543, 13995, 267, 865, 621, 568, 1271, 547, 5077, 609, 513, 14468, 17576, 6048, 610, 14776, 4274, 563, 268, 634, 2681, 540, 513, 14776, 666, 849, 581, 8476, 998, 5574, 267, 971, 607, 23735, 2747, 610, 2681, 18396, 908, 267, 799, 666, 2087, 519, 5920, 543, 1871, 540, 519, 6149, 563, 268, 898, 568, 1271, 547, 2015, 519, 2681, 540, 513, 14776, 950, 7446, 513, 14776, 6278, 8258, 267, 607, 621, 786, 1860, 519, 2949, 5920, 543, 1871, 540, 519, 8258, 563, 268, 589, 2681, 1652, 14776, 609, 513, 1164, 2681, 3446, 568, 3335, 519, 1034, 14909, 543, 3407, 267, 855, 2123, 7375, 543, 23348, 1058, 849, 581, 3144, 883, 2272, 950, 7446, 519, 2681, 540, 513, 14776, 269, 0, 1103, 713, 2376, 912, 12831, 21090, 568, 519, 2530, 538, 1871, 540, 606, 10697, 936, 942, 267, 610, 519, 3017, 1063, 1018, 596, 6976, 585, 1945, 543, 1018, 621, 781, 4502, 1318, 1631, 269, 898, 568, 3335, 4294, 547, 15889, 610, 2168, 7221, 267, 899, 6472, 543, 11647, 267, 855, 621, 666, 849, 4019, 547, 30608, 7221, 899, 13632, 543, 9806, 6589, 269, 4855, 856, 875, 28595, 1568, 267, 875, 621, 15320, 689, 7071, 543, 1018, 2010, 540, 7221, 3335, 1244, 3285, 622, 563, 1692, 6496, 3493, 21090, 4518, 888, 12831, 21090, 3217, 883, 7156, 519, 1942, 540, 1210, 606, 10697, 543, 519, 4324, 6591, 936, 922, 3730, 1272, 269, 1323, 6221, 781, 28595, 666, 1491, 1747, 1813, 547, 3339, 5957, 543, 15237, 610, 2834, 946, 936, 2789, 1296, 543, 666, 829, 1555, 547, 6472, 267, 5904, 543, 11418, 267, 9162, 267, 11647, 267, 12227, 543, 1256, 16806, 575, 12495, 563, 19968, 525, 5781, 5173, 28595, 547, 1205, 1978, 3454, 543, 8051, 5383, 607, 741, 7221, 6336, 1871, 936, 942, 269, 1280, 2043, 267, 513, 6305, 1383, 540, 28595, 568, 875, 513, 1007, 1286, 781, 1871, 726, 17026, 1115, 607, 4166, 607, 596, 5397, 621, 1055, 519, 2603, 269, 1401, 6984, 20614, 543, 16678, 6517, 267, 28595, 568, 1455, 609, 782, 6472, 563, 23744, 267, 6517, 6336, 811, 982, 476, 1015, 260, 540, 741, 1871, 538, 519, 1101, 3923, 543, 1832, 21177, 689, 972, 267, 2687, 547, 2961, 325, 1314, 269, 769, 707, 1101, 1032, 540, 9562, 267, 519, 1871, 540, 707, 6174, 666, 726, 25128, 676, 3592, 476, 736, 18336, 1103, 2947, 1296, 267, 513, 1007, 1286, 814, 4503, 827, 476, 2412, 260, 540, 922, 3312, 1871, 593, 3328, 267, 2687, 547, 513, 476, 1708, 272, 2947, 4458, 28595, 1353, 676, 1775, 8450, 290, 1513, 2593, 269, 1924, 267, 952, 596, 11751, 513, 1007, 1286, 693, 519, 4308, 11429, 585, 1269, 2004, 267, 1822, 267, 538, 2947, 1296, 267, 621, 949, 1152, 581, 4502, 1269, 1789, 267, 1822, 29932, 1256, 1447, 952, 621, 781, 538, 4057, 2783, 563, 8170, 1576, 267, 875, 1454, 543, 875, 3533, 606, 10697, 1244, 3285, 919, 666, 849, 581, 1759, 593, 2188, 899, 519, 10697, 781, 15810, 10727, 267, 2445, 1043, 1871, 267, 4397, 3730, 1272, 543, 3761, 543, 3747, 563, 2414, 9414, 267, 4352, 519, 3328, 6174, 1244, 3285, 919, 827, 476, 2412, 260, 936, 519, 1101, 2947, 1296, 267, 930, 6517, 267, 899, 519, 8614, 788, 654, 337, 836, 2401, 267, 723, 606, 3328, 2947, 4458, 28595, 540, 1152, 476, 280, 269, 273, 9077, 2687, 547, 519, 476, 1708, 272, 1775, 8450, 290, 1513, 2593, 1353, 269, 2201, 519, 16212, 2427, 267, 519, 715, 1170, 534, 700, 12788, 293, 814, 606, 3328, 2947, 4458, 28595, 540, 476, 4792, 269, 272, 18336, 1692, 547, 12433, 3493, 21090, 454, 2467, 616, 1896, 2409, 1031, 547, 5173, 28595, 267, 5097, 676, 4213, 3168, 547, 1244, 3285, 622, 7221, 971, 607, 3937, 267, 3959, 267, 6472, 543, 519, 899, 269, 589, 1455, 9819, 568, 519, 2786, 11060, 1505, 267, 1141, 596, 10208, 1018, 596, 2503, 519, 10697, 786, 581, 4502, 693, 519, 1439, 540, 922, 3730, 1272, 689, 922, 3312, 1942, 269, 3973, 267, 7941, 602, 1297, 676, 519, 1297, 540, 1296, 540, 946, 563, 4131, 781, 2161, 596, 6718, 513, 16463, 865, 17304, 585, 1269, 272, 267, 1220, 269, 1411, 2503, 547, 946, 519, 865, 17304, 585, 476, 1015, 1296, 267, 543, 1310, 602, 942, 267, 6133, 621, 585, 1269, 6110, 269, 4635, 519, 2786, 11060, 1505, 267, 519, 5993, 28595, 540, 707, 865, 17304, 1131, 581, 1269, 3199, 563, 259, 272, 267, 1220, 910, 1269, 6110, 1315, 476, 1015, 815, 1269, 3199, 454, 4407, 596, 949, 711, 581, 1932, 7255, 827, 519, 2132, 596, 3513, 1205, 593, 513, 4062, 540, 11647, 596, 1544, 547, 946, 585, 1082, 1296, 267, 4213, 1419, 946, 519, 2786, 11060, 1505, 547, 1244, 3285, 622, 7221, 1317, 540, 922, 16134, 267, 11007, 543, 8897, 540, 946, 950, 621, 2501, 547, 3454, 942, 563, 12831, 21090, 5288, 269, 2561, 21090, 454, 763, 6587, 540, 28595, 568, 7071, 267, 799, 568, 519, 2333, 538, 519, 1871, 540, 606, 10697, 267, 971, 607, 2244, 267, 5386, 9174, 610, 11247, 267, 936, 942, 269, 901, 2333, 538, 1871, 666, 4755, 585, 1114, 4128, 267, 899, 513, 5786, 538, 3761, 610, 2799, 964, 4275, 321, 1006, 538, 519, 2344, 269, 11038, 7221, 267, 971, 607, 22783, 540, 16005, 630, 7374, 338, 1070, 13632, 543, 7554, 267, 9806, 6589, 543, 1483, 10040, 666, 782, 5660, 563, 2690, 3236, 267, 952, 519, 1871, 540, 707, 2777, 4679, 1813, 547, 3747, 585, 8027, 538, 707, 1858, 610, 9283, 596, 4312, 1500, 267, 1287, 519, 1699, 1871, 540, 707, 1753, 568, 2362, 982, 621, 729, 950, 596, 11751, 621, 269, 898, 814, 15874, 538, 1871, 563, 4913, 267, 952, 972, 568, 513, 15125, 1248, 538, 519, 1871, 540, 1483, 10040, 538, 707, 1858, 267, 610, 707, 1753, 814, 1044, 8697, 610, 711, 9738, 5265, 267, 707, 1753, 949, 581, 4502, 1447, 982, 519, 3312, 6718, 3902, 269, 769, 713, 2013, 267, 621, 814, 1244, 3285, 730, 538, 1871, 563, 10112, 1115, 2334, 15380, 3493, 3285, 622, 454, 13828, 15889, 543, 30608, 3688, 666, 1244, 3285, 622, 563, 2005, 2114, 666, 1244, 3285, 622, 610, 5660, 936, 942, 585, 1585, 4128, 269, 1280, 3236, 267, 2244, 630, 553, 513, 2489, 4341, 264, 568, 4397, 547, 5660, 936, 513, 1974, 540, 942, 269, 1717, 267, 952, 2244, 3587, 10731, 538, 513, 1880, 1858, 610, 2418, 726, 25128, 267, 621, 949, 1244, 3285, 622, 689, 519, 3312, 6718, 3902, 563, 10112, 1115, 602, 3622, 1244, 3285, 622, 1331, 912, 347, 4467, 1584, 619, 267, 1591, 10746, 543, 824, 11418, 1475, 293 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 707, 4411, 1216, 952, 707, 4782, 267, 1498, 563, 4692, 596, 3434, 18437, 538, 4411, 1216, 888, 2108, 7212, 596, 666, 9090, 3434, 18437, 538, 4411, 1216, 267, 596, 1981, 22848, 8504, 630, 527, 264, 1317, 519, 20566, 814, 811, 942, 547, 5305, 2223, 1352, 5143, 9215, 31165, 269, 968, 2005, 779, 711, 607, 5730, 269, 769, 824, 1913, 267, 519, 18437, 1185, 811, 942, 547, 10110, 1216, 267, 4929, 621, 547, 581, 1660, 1506, 269, 968, 303, 770, 320, 11273, 1932, 1279, 849, 666, 723, 606, 2333, 538, 29944, 4994, 563, 1432, 568, 519, 2489, 4341, 585, 5986, 18437, 888, 290, 10541, 18437, 666, 581, 6027, 676, 4320, 269, 634, 2489, 4341, 568, 835, 11013, 540, 3819, 18437, 610, 28448, 1500, 18437, 786, 4196, 3670, 607, 606, 12608, 6500, 610, 2185, 607, 513, 1292, 1576, 269, 5457, 1107, 25609, 949, 4268, 538, 2450, 2687, 547, 519, 10672, 267, 865, 946, 891, 7403, 607, 2489, 3074, 563, 1432, 568, 519, 2489, 4341, 585, 5986, 18437, 538, 14495, 1216, 888, 289, 11798, 519, 18437, 281, 20780, 513, 1804, 1494, 540, 1216, 547, 513, 14974, 269, 4495, 14495, 267, 1252, 3585, 6070, 519, 1216, 269, 1306, 513, 2489, 4341, 540, 14853, 267, 946, 476, 274, 268, 275, 844, 11301, 540, 1216, 1299, 476, 272, 268, 272, 476, 272, 270, 273, 26486, 6070, 829, 11013, 540, 18437, 269, 5410, 519, 18437, 543, 3434, 547, 620, 7202, 324, 2687, 547, 10189, 8846, 563, 19675, 6070, 581, 3773, 950, 5986, 18437, 888, 763, 2626, 568, 9811, 11652, 596, 1058, 1932, 269, 17897, 532, 1426, 5265, 568, 519, 3364, 602, 24508, 1434, 1426, 689, 1390, 1426, 269, 634, 1448, 568, 711, 547, 1118, 1945, 30644, 267, 855, 547, 1039, 2614, 6070, 547, 1118, 606, 12146, 19542, 269, 1656, 12015, 18437, 568, 1100, 9868, 269, 0, 28036, 5940, 7875, 766, 543, 570, 10292, 454, 2005, 568, 711, 9402, 585, 15779, 2634, 5945, 630, 307, 10292, 264, 2550, 547, 1995, 930, 1826, 540, 3207, 4524, 269, 769, 1249, 267, 3173, 3494, 602, 476, 1789, 260, 547, 476, 3583, 260, 540, 570, 10292, 2550, 1995, 513, 3207, 2914, 820, 19717, 538, 930, 1106, 610, 6752, 269, 4208, 568, 713, 519, 2013, 286, 5221, 607, 707, 1560, 779, 20148, 267, 707, 2634, 5713, 607, 606, 968, 514, 4156, 9219, 892, 602, 6645, 596, 950, 547, 3207, 543, 950, 547, 12687, 909, 267, 799, 1797, 606, 5945, 547, 707, 2634, 666, 1689, 875, 1134, 621, 21560, 707, 3207, 8430, 563, 310, 14176, 25723, 17252, 3633, 590, 4041, 7968, 454, 1103, 2489, 267, 3207, 568, 2556, 585, 519, 1560, 543, 2634, 547, 22507, 269, 2991, 513, 570, 10292, 267, 3207, 568, 2523, 1271, 1317, 621, 2337, 519, 13676, 851, 540, 707, 1560, 12115, 269, 1717, 267, 1317, 3207, 18063, 666, 15936, 609, 707, 2702, 547, 3207, 267, 789, 666, 15936, 609, 707, 2634, 779, 7067, 1184, 1739, 707, 5945, 269, 769, 1249, 267, 1896, 2090, 723, 3254, 602, 22314, 3207, 791, 4202, 519, 14317, 1184, 543, 814, 513, 2942, 1764, 593, 513, 3461, 779, 2298, 540, 1272, 563, 4596, 12613, 2177, 590, 4041, 7968, 20591, 16704, 8991, 454, 2467, 616, 1896, 1455, 3207, 4713, 602, 570, 10292, 2550, 949, 1995, 267, 971, 607, 20026, 630, 18528, 22187, 9991, 543, 9363, 18069, 1070, 3207, 19103, 630, 5793, 32152, 7244, 1282, 3207, 1070, 543, 28810, 17410, 630, 1410, 947, 633, 24817, 3207, 1465, 610, 12675, 30148, 3207, 1040, 898, 949, 3100, 6654, 267, 855, 891, 2010, 540, 3207, 18063, 666, 581, 267, 1134, 267, 512, 3931, 269, 31035, 689, 519, 25874, 267, 3207, 18063, 666, 2014, 596, 547, 1745, 8886, 762, 267, 1860, 707, 2634, 779, 8647, 543, 2702, 547, 13404, 267, 543, 1491, 513, 17167, 593, 707, 4664, 563, 1103, 930, 2665, 267, 2550, 949, 1995, 513, 2603, 540, 4160, 1739, 513, 570, 10292, 267, 799, 666, 849, 581, 513, 1129, 540, 513, 3207, 19717, 269, 17520, 543, 824, 2242, 538, 7099, 1459, 513, 4990, 540, 968, 577, 1157, 523, 610, 519, 4212, 892, 14196, 1765, 323, 3996, 519, 1689, 538, 7099, 2014, 519, 3207, 19717, 267, 610, 1281, 519, 3207, 19717, 2014, 519, 1689, 538, 7099, 286, 17859, 540, 799, 2501, 1101, 630, 528, 952, 621, 779, 2731, 1256, 602, 2241, 1070, 621, 779, 1271, 547, 2911, 547, 2382, 656, 13693, 779, 1357, 4387, 827, 519, 2081, 538, 799, 596, 666, 2232, 1022, 540, 519, 2589, 596, 2461, 7680, 1644, 547, 2242, 538, 707, 7099, 543, 5924, 707, 12008, 6208, 563, 291, 8656, 294, 301, 5308, 5058, 590, 4041, 7968, 20591, 16704, 8991, 5442, 13698, 2316, 19006, 23166, 16777, 4696, 5442, 297, 308, 6020, 2464, 454, 19013, 267, 570, 10292, 2550, 685, 3207, 4713, 1419, 979, 3768, 328, 30938, 267, 799, 1797, 789, 1522, 711, 581, 5265, 5701, 269, 2290, 2601, 585, 519, 3668, 540, 5868, 543, 2126, 1223, 581, 602, 1896, 2589, 540, 3207, 18063, 616, 2147, 547, 1346, 596, 1522, 1995, 1310, 513, 570, 10292, 282, 1317, 621, 5526, 607, 1498, 519, 2634, 5945, 568, 3743, 585, 519, 2589, 267, 789, 979, 1510, 1808, 2126, 269, 4746, 267, 8156, 2550, 609, 3207, 18063, 543, 570, 10292, 6799, 3606, 2591, 269, 1280, 1383, 267, 1072, 1416, 7426, 1590, 1491, 2027, 1416, 950, 1095, 21564, 1022, 6527, 547, 948, 609, 707, 3207, 19717, 1317, 1978, 5061, 5921, 547, 948, 596, 3207, 666, 14020, 707, 2634, 779, 2702, 547, 7816, 543, 9156, 1739, 707, 5945, 563, 14454, 267, 621, 568, 2352, 547, 917, 875, 1454, 3207, 18063, 1860, 570, 10292, 2550, 269, 12846, 267, 1100, 2339, 1018, 1382, 2115, 547, 4755, 267, 621, 3085, 1406, 1611, 596, 723, 547, 979, 1510, 948, 1631, 269, 1403, 596, 616, 513, 570, 10292, 3461, 7680, 1022, 3207, 18063, 267, 2911, 547, 707, 4387, 827, 519, 2081, 707, 3207, 2152, 666, 581, 11117, 543, 5701, 269, 1403, 707, 3207, 19717, 568, 6444, 543, 5701, 2038, 593, 267, 621, 779, 2009, 596, 1223, 723, 4824, 6051, 4093, 563, 296, 723, 1185, 570, 10292, 2094, 476, 1960, 278, 950, 594, 8593, 476, 1428, 3952, 13941, 593, 513, 536, 30629, 609, 519, 1283, 540, 1250, 2212, 269, 594, 723, 1419, 5143, 1004, 1250, 3207, 1966, 568, 607, 952, 972, 568, 513, 6467, 547, 2490, 1055, 547, 979, 547, 3207, 543, 9553, 568, 7745, 269, 594, 979, 538, 1792, 6545, 269, 6884, 594, 3207, 476, 275, 3108, 829, 3781, 269, 6884, 476, 1015, 630, 854, 4686, 1040, 4033, 2053, 630, 663, 19890, 1454, 811, 1455, 264, 594, 3251, 25805, 2185, 610, 2947, 2395, 693, 513, 942, 543, 1287, 3207, 606, 5662, 610, 1079, 269, 594, 723, 513, 22622, 13393, 538, 513, 1906, 4374, 269, 1772, 972, 4376, 594, 1058, 2995, 1250, 4387, 286, 594, 723, 1185, 513, 10788, 602, 568, 1163, 1600, 693, 519, 4090, 3009, 710, 543, 1945, 1250, 1699, 4387, 6836, 593, 803, 607, 594, 849, 1205, 530, 7505, 909, 676, 1250, 3983, 19704, 269, 2334, 2337, 513, 2370, 2507, 1721, 519, 19704, 855, 1281, 4986, 585, 519, 570, 10292, 3207, 1966, 563, 296, 1175, 4718, 707, 2022, 267, 596, 991, 547, 3142, 538, 519, 4930, 11341, 570, 10292, 609, 3207, 19103, 547, 1397, 519, 3095, 269, 2142, 10770, 563, 12441, 596, 1205, 3028, 4448, 585, 713, 888, 296, 1932, 1185, 606, 5945, 547, 519, 4395, 540, 1250, 15693, 269, 1411, 666, 2965, 1294, 513, 476, 274, 10759, 8237, 538, 1250, 1835, 13203, 693, 519, 4099, 540, 1250, 30432, 267, 10704, 1657, 1250, 9224, 269, 3689, 1906, 1296, 267, 4769, 1406, 17047, 519, 1079, 267, 1317, 267, 693, 513, 2362, 2597, 267, 519, 8237, 729, 29462, 269, 2991, 9561, 2597, 267, 621, 2968, 14733, 267, 543, 596, 666, 1745, 621, 269, 3767, 267, 594, 723, 519, 1482, 3390, 269, 594, 715, 14110, 2207, 1831, 968, 339, 1600, 6100, 594, 786, 2482, 1524, 267, 543, 2760, 798, 2763, 1055, 269, 1403, 594, 3207, 267, 621, 3884, 1406, 2394, 476, 274, 267, 476, 275, 267, 476, 276, 993, 269, 3973, 267, 594, 666, 581, 25805, 606, 5662, 2663, 267, 543, 711, 581, 3207, 344, 519, 1985, 3781, 269, 594, 723, 1185, 519, 3207, 1353, 2944, 267, 543, 594, 3247, 7244, 1535, 2053, 513, 8792, 269, 1358, 5462, 602, 1250, 2634, 8483, 1115, 547, 13236, 267, 1287, 607, 4166, 607, 594, 2887, 18069, 543, 3247, 7244, 267, 594, 12687, 8885, 909, 269, 8307, 1259, 547, 3207, 568, 9224, 17446, 267, 27526, 638, 559, 267, 9253, 28853, 543, 5917, 559, 6751, 267, 543, 594, 1611, 4557, 476, 276, 8406, 9253, 28853, 267, 1419, 7466, 267, 543, 693, 2547, 476, 277, 610, 5216, 476, 4335, 8406, 270, 2004, 8406, 25592, 1575, 19745, 523, 7933, 760, 1156, 5139, 668, 710, 1547, 1809, 952, 594, 6557, 17585, 539, 909, 547, 3207, 543, 1250, 2634, 568, 7340, 532, 547, 13236, 267, 3884, 1406, 602, 5906, 11631, 4746, 267, 31087, 568, 1102, 7528, 550, 267, 865, 1247, 7142, 547, 3207, 267, 1360, 2370, 540, 621, 568, 29260, 269, 7102, 4947, 1394, 689, 713, 286, 1548, 616, 519, 2104, 8374, 607, 594, 632, 2102, 4733, 2417, 888, 1432, 707, 10503, 568, 3844, 19103, 269, 898, 568, 1521, 762, 269, 6239, 3207, 19103, 666, 581, 5701, 609, 645, 760, 777, 5254, 610, 645, 760, 777, 6789, 309, 269, 13693, 513, 3207, 2703, 563, 306, 877, 3781, 332, 732, 267, 1114, 14364, 269, 25990, 814, 930, 3908, 1279, 3856, 2640, 267, 6646, 3085, 1406, 2408, 547, 2709, 811, 982, 3552, 518, 19261, 936, 942, 269, 2107, 5310, 1018, 519, 20968, 31726, 568, 5827, 540, 6721, 568, 538, 1249, 519, 1152, 14323, 4264, 6646, 609, 4324, 267, 543, 17034, 713, 998, 2168, 1505, 630, 4364, 2787, 264, 568, 9247, 519, 1655, 649, 666, 4126, 547, 798, 563, 7069, 1650, 4422, 267, 5945, 267, 476, 3374, 586, 3464, 540, 17867, 5868, 8730, 14501, 540, 9825, 15282, 5401, 513, 1413, 693, 1250, 4776, 30613, 27914, 267, 799, 5012, 547, 513, 11719, 626, 6998, 803, 952, 594, 8910, 2479, 1185, 513, 10981, 30315, 269, 594, 6557, 20994, 547, 3605, 602, 1250, 1995, 568, 865, 2484, 689, 9678, 563, 296, 11124, 513, 570, 10292, 1813, 547, 513, 1286, 8009, 538, 476, 1001, 271, 269, 594, 723, 2760, 15468, 18069, 2094, 1287, 269, 594, 1185, 1896, 3207, 2090, 1141, 789, 1767, 519, 1482, 269, 7053, 729, 11311, 2473, 312, 3918, 300, 269, 1775, 723, 519, 2186, 540, 8194, 13251, 23902, 1723, 548, 10043, 602, 2164, 538, 1100, 3207, 269, 589, 2494, 5747, 1354, 646, 1223, 581, 5701, 269, 594, 15068, 811, 982, 513, 1032, 282, 2348, 1896, 6285, 540, 3032, 777, 2716, 344, 282, 1354, 6368, 3478, 519, 2473, 344, 8145, 269, 1879, 594, 666, 1406, 1205, 621, 1700, 296, 1810, 1406, 3207, 693, 782, 585, 2395, 543, 1831, 1360, 2192, 563, 326, 582, 5734, 593, 519, 2212, 693, 960, 693, 3781, 676, 2576, 609, 513, 17200, 594, 1589, 855, 798, 711, 3314, 594, 594, 1589, 476, 275, 1032, 3516, 269, 838, 527, 1250, 2212, 1930, 269, 20944, 5734, 538, 519, 4099, 540, 2212, 269, 12984, 3144, 547, 15117, 7460, 28492, 269, 2060, 17200, 693, 960, 269, 594, 798, 711, 3314, 4376, 585, 513, 3923, 610, 811, 1250, 11078, 689, 22598, 3357, 543, 693, 609, 803, 585, 3923, 610, 3476, 269, 3719, 594, 2731, 1810, 256, 339, 1121, 324, 828, 602, 2901, 6993, 2536, 594, 4682, 1753, 593, 1250, 1378, 269, 16393, 711, 1491, 1373, 538, 609, 519, 1004, 602, 941, 12955, 538, 519, 15089, 2727, 334, 7460, 6413, 269, 12846, 896, 735, 550, 566, 538, 7460, 4516, 2221, 15660, 729, 3257, 21453, 269, 769, 2904, 540, 2063, 1032, 2576, 10443, 883, 519, 1394, 540, 1286, 950, 594, 3247, 547, 1577, 1776, 1286, 2490, 538, 4395, 540, 803, 269, 898, 729, 4278, 1286, 3297, 803, 945, 729, 4636, 269, 7102, 3118, 594, 729, 3144, 547, 519, 15089, 2727, 334, 6413, 676, 3053, 269, 594, 3893, 627, 760, 561, 1662, 269, 594, 729, 5355, 581, 1721, 519, 627, 760, 561, 1662, 3364, 269, 1809, 711, 3257, 547, 1434, 1631, 3100, 547, 711, 3251, 1360, 4342, 269, 1530, 655, 547, 2530, 1250, 2191, 1360, 2656, 269, 594, 3100, 547, 581, 3478, 8338, 1169, 1554, 269, 594, 1185, 1286, 6142, 789, 616, 2366, 532, 803, 547, 1776, 2212, 4387, 1985, 3018, 5861, 746, 596, 948, 803, 960, 3364, 856, 454, 13553, 2634, 7063, 666, 22652, 519, 2042, 689, 519, 1101, 5945, 538, 1840, 547, 519, 2152, 1644, 547, 519, 1034, 2487, 5945, 269, 898, 568, 1360, 1271, 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 ]
[ 31702, 264, 595, 10422, 269, 815, 12652, 269, 476, 5611, 543, 2530, 815, 476, 736, 14999, 263, 643, 264, 595, 10422, 269, 815, 12652, 269, 476, 3199, 543, 2744, 815, 476, 273, 269, 276, 14999, 11405, 1384, 9223, 476, 274, 563, 305, 2129, 527, 11751, 513, 11746, 29627, 4650, 585, 12652, 269, 476, 272, 267, 4335, 543, 4421, 621, 585, 12652, 269, 476, 272, 267, 8517, 269, 12433, 1010, 7443, 610, 2530, 2600, 563, 11405, 1384, 9223, 476, 275, 563, 2304, 2376, 11751, 585, 12652, 269, 476, 12573, 568, 4421, 693, 513, 7443, 540, 476, 736, 10065, 4855, 922, 9513, 3902, 563, 11405, 1384, 9223, 476, 276, 563, 2304, 2025, 3684, 568, 11751, 585, 12652, 269, 476, 272, 267, 6110, 543, 568, 4421, 693, 513, 2530, 540, 476, 1428, 10065, 4855, 922, 9513, 3902, 563, 11405, 1384, 9223, 476, 277, 563, 7775, 5190, 616, 11751, 693, 476, 276, 585, 12652, 269, 476, 1015, 543, 4421, 693, 476, 277, 585, 12652, 269, 476, 1428, 269, 4855, 7443, 610, 2530, 607, 2600, 563, 11405, 1384, 9223, 476, 278, 563, 288, 1978, 1297, 540, 4930, 616, 11751, 693, 476, 274, 585, 12652, 269, 476, 5611, 543, 782, 540, 873, 616, 4421, 693, 476, 275, 585, 12652, 269, 476, 5197, 269, 4855, 519, 2530, 610, 2744, 607, 2600, 563, 11405, 1384, 9223, 476, 279, 563, 288, 29449, 11751, 476, 6344, 26265, 693, 476, 736, 533, 1142, 269, 769, 1010, 2777, 267, 476, 1240, 941, 10057, 543, 646, 4421, 519, 6967, 693, 476, 1789, 533, 1142, 269, 4855, 1010, 7443, 610, 2530, 607, 2600, 563, 11405, 1384, 9223, 476, 280, 563, 763, 1942, 3902, 540, 606, 2376, 568, 12652, 269, 476, 272, 267, 1220, 543, 9513, 3902, 568, 6695, 2765, 2715, 476, 276, 25452, 476, 275, 476, 6525, 2053, 540, 922, 1942, 3902, 269, 4855, 912, 9217, 264, 9513, 3902, 540, 519, 2376, 454, 23870, 264, 7443, 610, 2530, 607, 2600, 563, 11405, 1384, 9223, 476, 1015, 563, 763, 9513, 3902, 540, 606, 2376, 568, 12652, 269, 476, 272, 267, 1220, 543, 1942, 3902, 568, 6695, 2765, 2715, 476, 276, 25452, 476, 275, 476, 6525, 2053, 540, 922, 9513, 3902, 2676, 22772, 10778, 9217, 264, 1942, 3902, 540, 519, 2376, 476, 3248, 23870, 264, 7443, 610, 2530, 607, 2600, 563, 11405, 1384, 2162, 30825, 267, 13809, 543, 5494, 870, 11644, 476, 280, 289, 1107, 1109, 306, 601, 2088, 19270, 1047, 9119, 4147, 476, 278, 594, 17698, 10298, 692, 9223, 476, 272, 563, 8340, 519, 1942, 3902, 267, 952, 912, 9217, 264, 590, 10422, 269, 815, 12652, 269, 476, 2641, 543, 2744, 815, 476, 276, 14999, 23870, 264, 590, 10422, 269, 815, 12652, 269, 476, 2420, 543, 2530, 815, 476, 1321, 14999, 31702, 264, 590, 10422, 269, 815, 12652, 269, 476, 22430, 543, 2744, 815, 12652, 269, 476, 736, 454, 263, 643, 264, 590, 10422, 269, 815, 12652, 269, 476, 1220, 543, 2530, 815, 12652, 269, 476, 2004, 454, 17635, 264, 590, 10422, 269, 815, 1234, 269, 476, 272, 543, 2530, 815, 476, 276, 533, 563, 11405, 1384, 9223, 476, 273, 563, 3528, 9513, 606, 2376, 585, 12652, 269, 476, 279, 1015, 267, 513, 2530, 540, 476, 1015, 2600, 568, 11124, 269, 4855, 922, 1942, 3902, 563, 11405, 1384, 9223, 476, 274, 563, 3528, 9513, 513, 1085, 2393, 518, 585, 12652, 269, 476, 280, 267, 1220, 267, 513, 812, 12374, 476, 1428, 10065, 4855, 519, 1942, 3902, 540, 519, 1085, 2393, 518, 563, 11405, 1384, 9223, 476, 275, 563, 4002, 9513, 606, 2376, 585, 12652, 269, 476, 273, 267, 25953, 267, 513, 7443, 540, 476, 1015, 2600, 568, 1500, 269, 4855, 454, 9217, 264, 1942, 3902, 540, 519, 2376, 454, 23870, 264, 1007, 9513, 3902, 540, 621, 267, 538, 1931, 547, 2744, 476, 1428, 14999, 11405, 1384, 9223, 476, 276, 563, 288, 570, 17679, 269, 1305, 568, 4421, 585, 12652, 269, 476, 27151, 271, 693, 513, 2530, 540, 476, 1428, 10065, 4855, 454, 9217, 264, 322, 739, 3902, 540, 519, 570, 17679, 269, 1305, 563, 23870, 264, 2908, 9513, 3902, 540, 621, 267, 538, 1931, 547, 2744, 476, 1321, 14999, 11405, 1384, 9223, 476, 277, 563, 288, 4829, 22673, 11751, 27335, 525, 693, 12652, 269, 476, 3445, 829, 18797, 543, 4421, 873, 693, 513, 2530, 540, 476, 279, 2600, 269, 1215, 1454, 786, 513, 6075, 2628, 585, 563, 9217, 264, 835, 27335, 454, 23870, 264, 476, 2412, 27335, 525, 454, 11405, 1384, 9223, 476, 278, 563, 3528, 9513, 1079, 27820, 585, 12652, 269, 476, 876, 1142, 267, 513, 6300, 24010, 12374, 476, 736, 2600, 593, 835, 24923, 543, 19380, 476, 736, 2600, 593, 519, 824, 563, 8340, 10778, 9217, 264, 595, 10422, 269, 540, 1142, 24923, 692, 23870, 264, 2698, 595, 10422, 269, 543, 2698, 590, 10422, 269, 540, 1312, 519, 27820, 454, 31702, 264, 7443, 610, 2530, 2600, 593, 519, 2898, 563, 11405, 1384, 9223, 476, 279, 563, 300, 836, 3996, 616, 11751, 693, 476, 736, 585, 12652, 269, 476, 2568, 269, 1403, 454, 16269, 616, 4421, 693, 476, 3451, 11377, 2765, 2715, 476, 272, 25452, 476, 274, 476, 6525, 2600, 7443, 563, 8340, 1384, 9217, 264, 9513, 3902, 540, 1142, 27335, 563, 23870, 264, 590, 10422, 269, 540, 476, 279, 27335, 525, 563, 11405, 1384, 9223, 476, 280, 563, 8340, 519, 1942, 3902, 540, 606, 2376, 267, 799, 568, 4421, 585, 12652, 269, 476, 28147, 271, 693, 513, 2530, 540, 476, 1015, 10065, 4746, 267, 1265, 519, 1007, 9513, 3902, 540, 519, 2376, 799, 1590, 2285, 513, 7443, 540, 476, 279, 18336, 11405, 1384, 9223, 476, 1015, 563, 3528, 9513, 606, 2376, 585, 19238, 373, 279, 1839, 267, 513, 812, 19380, 6695, 2765, 2715, 476, 272, 25452, 476, 274, 476, 6525, 3160, 547, 795, 540, 922, 9513, 3902, 563, 8340, 23241, 9217, 264, 519, 1942, 3902, 540, 519, 2376, 2676, 23870, 264, 519, 7443, 2600, 610, 519, 2530, 2600, 1500, 267, 952, 519, 1482, 2376, 568, 4421, 585, 19238, 373, 14695, 276, 563, 11405, 1384, 9223, 476, 1556, 563, 8340, 519, 2530, 610, 2744, 607, 2600, 267, 952, 519, 595, 10422, 269, 540, 476, 1015, 4930, 267, 782, 540, 519, 1482, 2186, 267, 568, 3160, 547, 590, 10422, 269, 540, 476, 279, 4930, 563, 11405, 1384, 9223, 476, 1321, 563, 8340, 519, 2530, 610, 2744, 607, 2600, 267, 952, 519, 595, 10422, 269, 540, 476, 279, 4930, 267, 782, 540, 519, 1482, 2186, 267, 568, 3160, 547, 590, 10422, 269, 540, 476, 1015, 4930, 563, 11405, 1384, 9223, 476, 1724, 563, 763, 1942, 3902, 540, 606, 2376, 568, 476, 9834, 260, 540, 922, 9513, 3902, 269, 4855, 519, 2530, 610, 519, 2744, 607, 2600, 593, 519, 2898, 563, 11405, 1384, 9223, 476, 1691, 563, 763, 9513, 3902, 540, 606, 2376, 568, 476, 9834, 260, 540, 922, 1942, 3902, 269, 4855, 519, 2530, 610, 519, 2744, 607, 2600, 593, 519, 2898, 563, 11405, 1384, 9223, 476, 1428, 563, 295, 4348, 24453, 616, 11751, 585, 19238, 373, 12573, 543, 782, 540, 873, 616, 4421, 693, 519, 2557, 540, 19238, 373, 4366, 829, 18797, 269, 4855, 519, 7443, 2600, 610, 2530, 2600, 1500, 563, 11405, 1384, 9223, 476, 1626, 563, 7775, 5190, 616, 11751, 693, 476, 1911, 585, 7790, 3199, 543, 782, 540, 873, 616, 4421, 693, 19238, 373, 3199, 585, 19238, 373, 1911, 269, 4855, 519, 2530, 610, 2744, 607, 2600, 538, 713, 11834, 563, 11405, 1384, 9223, 476, 1704, 563, 2304, 2376, 568, 11751, 585, 19238, 373, 276, 267, 10384, 543, 19238, 373, 272, 267, 4968, 568, 6170, 593, 922, 28472, 267, 3560, 542, 267, 3092, 269, 1280, 875, 1454, 1058, 713, 2376, 581, 4421, 538, 1931, 547, 2744, 476, 736, 260, 593, 519, 2898, 563, 11405, 1384, 2162, 30825, 267, 13809, 543, 5494, 870, 11644, 476, 280, 290, 1107, 1109, 306, 601, 2088, 19270, 1047, 9119, 4147, 476, 278, 594, 17698, 10298, 692, 9223, 476, 272, 563, 288, 3684, 568, 6825, 693, 19238, 373, 4335, 271, 543, 568, 4421, 693, 513, 10958, 540, 476, 1015, 10065, 4855, 519, 9513, 3902, 540, 519, 3684, 563, 11405, 1384, 9223, 476, 273, 563, 3333, 641, 24010, 6825, 513, 12129, 1305, 585, 19238, 373, 1911, 271, 269, 1261, 4421, 621, 693, 19238, 373, 12010, 267, 1018, 2600, 10958, 1705, 646, 2285, 15017, 11405, 1384, 9223, 476, 274, 563, 288, 6292, 540, 10887, 6825, 693, 19238, 373, 17168, 267, 616, 4421, 693, 513, 10958, 540, 476, 1428, 2600, 563, 8340, 10778, 9217, 264, 10958, 454, 23870, 264, 9513, 3902, 540, 519, 10887, 563, 11405, 1384, 9223, 476, 275, 563, 763, 1592, 3902, 540, 606, 2376, 568, 19238, 373, 14596, 543, 621, 568, 4421, 585, 19238, 373, 11740, 563, 8340, 10778, 9217, 264, 10958, 454, 23870, 264, 10958, 2600, 454, 11405, 1384, 9223, 476, 276, 563, 288, 6300, 24010, 1207, 903, 606, 2376, 585, 8975, 373, 4968, 269, 1261, 4679, 922, 3902, 676, 476, 736, 260, 543, 1287, 3947, 476, 1015, 260, 10958, 593, 519, 1007, 3902, 269, 4855, 912, 9217, 264, 519, 1007, 3902, 630, 5658, 539, 3902, 264, 540, 519, 2376, 563, 23870, 264, 519, 10958, 2016, 676, 519, 6300, 24010, 563, 31702, 264, 519, 9513, 3902, 563, 263, 643, 264, 7443, 2600, 1500, 676, 519, 6300, 24010, 563, 11405, 1384, 9223, 476, 277, 563, 288, 1286, 568, 6825, 693, 12652, 269, 476, 2004, 267, 1822, 269, 634, 31066, 3947, 476, 276, 260, 10958, 593, 1101, 12652, 269, 476, 736, 267, 1822, 543, 476, 273, 260, 10958, 593, 519, 6967, 12652, 269, 476, 1789, 267, 1822, 563, 8340, 10778, 9217, 264, 519, 2698, 10958, 563, 23870, 264, 519, 3902, 9901, 676, 519, 31066, 563, 11405, 1384, 9223, 476, 278, 563, 288, 31066, 1207, 903, 513, 570, 17679, 269, 1305, 585, 12652, 269, 476, 7742, 271, 269, 1261, 7436, 621, 693, 12652, 269, 476, 274, 267, 1220, 543, 1287, 3947, 513, 10958, 540, 476, 1015, 260, 593, 621, 563, 8340, 10778, 9217, 264, 519, 9513, 3902, 540, 519, 570, 17679, 269, 1305, 454, 23870, 264, 519, 7443, 2600, 1500, 676, 519, 31066, 563, 11405, 1384, 9223, 476, 279, 563, 288, 23619, 1010, 5370, 693, 476, 1428, 260, 10958, 269, 4855, 519, 3902, 540, 606, 2376, 799, 568, 4421, 585, 12652, 269, 476, 27151, 563, 11405, 1384, 9223, 476, 280, 563, 288, 6300, 24010, 2636, 476, 736, 260, 10958, 593, 519, 6825, 3902, 540, 1010, 4930, 269, 4855, 519, 6825, 3902, 540, 606, 2376, 585, 799, 646, 10997, 12652, 269, 476, 28794, 563, 11405, 1384, 9223, 476, 1015, 563, 2304, 2376, 568, 11751, 585, 12652, 269, 476, 272, 267, 1220, 543, 12652, 269, 476, 1911, 568, 6170, 593, 922, 6283, 267, 3092, 563, 8340, 10778, 9217, 264, 519, 2698, 595, 10422, 269, 540, 519, 2376, 563, 23870, 264, 519, 9513, 3902, 540, 621, 538, 1931, 547, 2744, 476, 736, 260, 593, 519, 2898, 563, 11405, 1384, 9223, 476, 1556, 563, 2412, 23445, 616, 11751, 693, 476, 275, 585, 12652, 269, 476, 2004, 543, 782, 540, 873, 616, 4421, 693, 476, 276, 585, 12652, 269, 476, 3199, 454, 8340, 10778, 9217, 264, 595, 10422, 269, 540, 835, 4050, 563, 23870, 264, 590, 18025, 269, 540, 835, 4050, 563, 31702, 264, 30825, 1500, 676, 9513, 835, 4050, 563, 263, 643, 264, 30825, 2600, 1500, 676, 9513, 835, 4050, 563, 17635, 264, 595, 10422, 269, 540, 476, 2412, 23445, 454, 263, 12858, 264, 590, 10422, 269, 540, 476, 2412, 23445, 563, 17635, 4512, 264, 30825, 1500, 676, 9513, 476, 2412, 23445, 563, 17635, 13839, 264, 30825, 2600, 1500, 676, 9513, 476, 2412, 23445, 269, 3657, 519, 2164, 540, 2694, 630, 643, 264, 543, 630, 341, 13839, 264, 1482, 286, 1548, 3932, 798, 596, 2721, 689, 519, 1657, 1267, 15017, 11405, 1384, 9223, 476, 1321, 563, 763, 595, 10422, 269, 540, 476, 276, 9838, 4930, 568, 3160, 547, 590, 10422, 269, 540, 476, 275, 4930, 269, 12433, 519, 7443, 2600, 610, 2530, 2600, 1500, 952, 782, 519, 4930, 11751, 616, 4421, 563, 11405, 1384, 9223, 476, 1724, 563, 763, 595, 10422, 269, 540, 476, 279, 23445, 568, 1482, 607, 590, 10422, 269, 540, 476, 1015, 23445, 269, 12433, 519, 7443, 610, 2530, 2600, 1500, 267, 952, 782, 519, 23445, 11751, 616, 2808, 547, 581, 4421, 454, 11405, 1384, 9223, 476, 1691, 563, 288, 1978, 1297, 540, 4930, 616, 11751, 693, 12652, 269, 476, 14596, 829, 18797, 543, 782, 540, 873, 616, 4421, 693, 513, 7443, 540, 476, 736, 10065, 4855, 519, 590, 10422, 269, 540, 912, 9217, 264, 835, 2376, 454, 23870 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5868, 267, 23567, 267, 543, 14278, 4094, 15299, 267, 998, 12985, 4485, 610, 998, 5355, 22812, 341, 2358, 4441, 543, 6042, 269, 3509, 540, 891, 1382, 1568, 267, 971, 607, 519, 968, 15368, 5202, 5530, 892, 1788, 676, 5616, 5549, 1421, 519, 9435, 32081, 25304, 267, 543, 519, 476, 1911, 476, 1822, 2637, 2345, 5741, 630, 1911, 298, 25897, 1070, 616, 5059, 593, 1164, 28443, 1584, 22308, 2079, 547, 3035, 10531, 1072, 1416, 676, 3384, 12985, 2409, 1421, 2073, 2637, 5669, 13592, 666, 581, 23699, 538, 519, 1646, 540, 5061, 602, 3077, 513, 3940, 547, 1521, 2068, 563, 3528, 7421, 1804, 5666, 540, 1239, 267, 674, 1251, 534, 1696, 620, 4951, 602, 972, 568, 513, 7678, 610, 4806, 538, 1142, 1367, 3461, 781, 1239, 6993, 946, 2013, 538, 713, 2203, 729, 1031, 547, 2697, 519, 3020, 9402, 2175, 540, 2550, 609, 7648, 538, 1973, 2604, 543, 2295, 2557, 269, 966, 573, 344, 553, 26196, 12649, 3684, 1565, 2553, 585, 17782, 513, 3075, 3210, 543, 1336, 602, 972, 616, 31036, 267, 1256, 930, 1510, 6211, 4644, 267, 602, 1223, 3589, 513, 3075, 3210, 269, 25421, 22974, 543, 4639, 3650, 267, 538, 513, 1353, 540, 519, 3498, 540, 3684, 1565, 543, 2625, 8494, 2065, 4485, 547, 519, 12605, 540, 6198, 2360, 540, 2582, 5991, 16197, 582, 728, 26340, 3359, 630, 17928, 11679, 1070, 1336, 602, 3684, 1565, 2409, 1223, 856, 704, 845, 2625, 8494, 2065, 2409, 269, 1323, 5610, 540, 4791, 4632, 971, 607, 5198, 630, 19009, 5288, 1875, 19009, 1070, 14021, 1416, 1770, 630, 2975, 308, 264, 1826, 630, 4364, 673, 5288, 10551, 1070, 3023, 267, 543, 2085, 814, 1044, 1031, 538, 3384, 1617, 21725, 26848, 9695, 3631, 547, 7447, 513, 10531, 3355, 9570, 540, 646, 1706, 514, 269, 4635, 891, 3631, 267, 22602, 4767, 19250, 1713, 12205, 1063, 1016, 268, 543, 647, 1440, 7752, 8427, 15181, 9864, 24405, 6955, 770, 514, 942, 630, 320, 8976, 307, 1070, 519, 27069, 4791, 4632, 267, 646, 1706, 514, 9570, 267, 543, 18615, 1418, 5821, 4879, 8464, 630, 12569, 11902, 1070, 609, 1858, 896, 519, 7455, 630, 288, 308, 294, 282, 849, 1572, 1858, 896, 513, 17513, 5665, 4162, 1496, 4629, 290, 316, 7455, 267, 513, 1079, 8820, 26841, 540, 29976, 2773, 4700, 540, 476, 271, 269, 4281, 543, 476, 271, 269, 8064, 6606, 563, 14085, 540, 519, 1533, 6361, 7308, 19603, 2462, 1239, 12454, 4485, 723, 4080, 606, 6111, 630, 1492, 5223, 1063, 7157, 4857, 270, 5035, 1881, 5439, 543, 519, 2698, 1297, 540, 5439, 264, 540, 476, 1911, 9077, 543, 713, 568, 4440, 1813, 547, 2591, 971, 607, 7508, 1239, 267, 519, 2298, 540, 1239, 267, 543, 7648, 538, 8097, 2164, 9619, 538, 519, 1985, 3296, 563, 24916, 2489, 2591, 7915, 547, 519, 2079, 540, 2462, 1239, 27137, 607, 7508, 1239, 267, 20093, 821, 748, 270, 574, 2181, 322, 1047, 1239, 267, 543, 26945, 1239, 1765, 655, 1943, 532, 2462, 1239, 538, 1072, 1416, 1949, 791, 4680, 1007, 2591, 267, 1519, 519, 3668, 540, 10727, 543, 10956, 1464, 540, 930, 630, 8117, 676, 1100, 1797, 782, 264, 6211, 1239, 282, 2152, 540, 7834, 267, 9562, 630, 773, 267, 8159, 8227, 4433, 264, 540, 1239, 1070, 543, 22637, 282, 16283, 1239, 689, 19747, 6417, 4791, 8062, 282, 543, 1970, 2298, 540, 1239, 538, 2489, 1421, 2073, 1677, 2232, 519, 2930, 2591, 267, 971, 607, 7508, 1239, 543, 791, 13440, 1047, 1239, 267, 8579, 607, 1134, 607, 3684, 1565, 2409, 723, 1044, 11567, 269, 910, 1717, 267, 972, 568, 1100, 2189, 3070, 547, 891, 2042, 282, 2147, 547, 824, 4485, 267, 519, 12117, 540, 8579, 543, 3684, 1565, 2409, 2115, 547, 581, 8810, 585, 1007, 2564, 3156, 563, 5194, 4161, 568, 29373, 538, 6803, 543, 14227, 4567, 267, 799, 2164, 538, 16526, 538, 1072, 1416, 282, 8197, 267, 13345, 540, 968, 5669, 892, 4066, 568, 14427, 543, 1522, 711, 581, 10097, 585, 4199, 1790, 3233, 5095, 269, 23889, 7636, 21454, 267, 27496, 267, 543, 1514, 9443, 1223, 581, 513, 4640, 547, 2263, 1072, 13103, 5532, 547, 1514, 5054, 269, 4913, 267, 1022, 3310, 593, 519, 2518, 1072, 4259, 689, 971, 2104, 2090, 786, 1152, 581, 1198, 539, 952, 741, 2164, 616, 10630, 538, 2797, 543, 2804, 3664, 1500, 563, 2414, 1020, 2068, 10391, 3631, 10858, 547, 2123, 1944, 9354, 7459, 267, 649, 991, 547, 6451, 31036, 630, 785, 545, 2209, 540, 3339, 6211, 3157, 267, 23633, 3157, 267, 610, 14278, 1670, 6114, 547, 9354, 6304, 264, 689, 5027, 15971, 543, 2087, 519, 2298, 540, 1239, 269, 1717, 267, 538, 930, 3676, 267, 971, 607, 2860, 267, 1591, 30846, 538, 513, 2582, 10510, 2306, 7020, 540, 1970, 7400, 13592, 2352, 267, 543, 513, 18068, 5697, 593, 519, 4493, 540, 1808, 4719, 4162, 540, 602, 3461, 781, 2860, 1522, 581, 791, 24411, 269, 1677, 7866, 513, 9756, 1063, 2164, 540, 5027, 2090, 543, 2068, 1826, 267, 811, 5439, 689, 1114, 2281, 693, 1114, 6753, 1131, 581, 2838, 267, 513, 5650, 609, 1970, 23250, 563, 5194, 4161, 568, 519, 3668, 540, 1702, 827, 519, 1480, 1062, 269, 3245, 513, 2462, 1239, 5133, 267, 1620, 519, 10342, 540, 1142, 851, 540, 713, 1062, 2115, 547, 581, 10736, 547, 12985, 3631, 543, 1287, 7471, 609, 824, 3631, 540, 519, 1480, 1560, 269, 4197, 519, 6211, 5121, 543, 7636, 3157, 267, 543, 3976, 519, 2126, 6364, 267, 538, 5778, 17595, 17226, 4713, 814, 1044, 16094, 554, 2086, 1229, 676, 3908, 1569, 547, 519, 2634, 269, 11683, 2462, 1239, 3785, 971, 607, 645, 6938, 2562, 630, 31416, 3194, 998, 5917, 3496, 30404, 11671, 23855, 3098, 1070, 670, 21990, 630, 14549, 11020, 5741, 1070, 543, 7641, 289, 630, 763, 14044, 11020, 1070, 17647, 1044, 17298, 547, 5512, 22602, 547, 4628, 1174, 519, 2534, 543, 14479, 540, 27090, 1949, 269, 1717, 267, 891, 3785, 616, 2484, 689, 2347, 267, 543, 1585, 3344, 540, 2634, 10342, 949, 2611, 796, 637, 9407, 269, 1280, 3236, 267, 1620, 21897, 2360, 693, 519, 5626, 1377, 267, 607, 1134, 607, 538, 2474, 540, 5778, 574, 1645, 267, 543, 5778, 6798, 1670, 270, 31850, 8344, 2242, 267, 568, 606, 5571, 543, 4241, 2361, 540, 1382, 563, 291, 19895, 15664, 543, 3932, 454, 4415, 6639, 8441, 267, 1114, 1382, 2516, 543, 3906, 616, 10451, 543, 1210, 5051, 1950, 543, 3309, 1239, 5036, 538, 1072, 1416, 1949, 269, 1717, 267, 607, 519, 1480, 1062, 568, 1360, 1950, 267, 513, 3102, 2203, 568, 2838, 538, 1931, 547, 3035, 623, 275, 4915, 269, 1677, 1020, 971, 513, 2203, 267, 1007, 8596, 267, 2409, 267, 5867, 267, 543, 2189, 31036, 585, 5868, 267, 543, 9354, 6364, 12605, 616, 2838, 269, 2467, 568, 1869, 513, 991, 585, 3457, 543, 8596, 2111, 547, 1683, 1434, 2298, 5359, 540, 4143, 1344, 593, 3461, 1072, 269, 1280, 3236, 267, 1100, 8499, 24019, 3926, 585, 7893, 13487, 3977, 568, 4867, 2139, 269, 1677, 1374, 513, 10531, 2203, 10858, 547, 623, 275, 4915, 267, 811, 5092, 568, 2838, 4724, 1620, 519, 1480, 1560, 543, 4143, 21374, 865, 602, 621, 666, 581, 4330, 609, 12985, 3631, 269, 5047, 267, 538, 1931, 547, 1374, 606, 4977, 2203, 267, 811, 2090, 547, 8495, 519, 3310, 540, 6724, 971, 607, 2825, 2188, 267, 1920, 1686, 267, 543, 6197, 593, 1072, 616, 11562, 5896, 269, 1717, 267, 713, 1522, 581, 3226, 4101, 538, 519, 4610, 540, 11719, 344, 543, 2618, 17226, 269, 0, 21801, 564, 7570, 568, 4873, 476, 866, 267, 543, 7345, 9351, 17076, 267, 4116, 543, 3942, 12835, 25548, 334, 9291, 902, 548, 320, 568, 5356, 513, 9159, 1686, 3992, 827, 519, 1554, 602, 16033, 919, 519, 1439, 540, 8474, 538, 519, 772, 2529, 563, 1103, 513, 476, 1015, 18826, 3381, 6592, 585, 20989, 17582, 28541, 9503, 267, 9291, 902, 548, 320, 2443, 945, 814, 7902, 538, 8464, 540, 26974, 3740, 24299, 585, 971, 7345, 9351, 3549, 607, 4993, 9956, 26308, 267, 18903, 26308, 267, 590, 12171, 269, 7591, 5264, 267, 20989, 17582, 267, 543, 1082, 811, 2443, 22281, 338, 519, 1686, 540, 519, 661, 2006, 322, 11692, 1160, 17474, 543, 14509, 922, 1257, 563, 21801, 564, 7570, 1374, 919, 519, 1554, 538, 476, 5908, 276, 538, 799, 8136, 31924, 23583, 6182, 9734, 267, 25884, 513, 1895, 540, 3979, 31787, 2324, 607, 10437, 538, 7147, 267, 28279, 519, 4600, 789, 616, 1863, 543, 14509, 873, 519, 661, 2006, 322, 11692, 1160, 17474, 269, 26913, 1185, 1044, 27618, 930, 476, 273, 16006, 1296, 1354, 602, 4266, 563, 289, 650, 902, 548, 320, 568, 27490, 3650, 532, 1776, 1982, 267, 519, 9947, 564, 7570, 20989, 10456, 5741, 267, 799, 6663, 547, 5351, 4563, 14364, 512, 4981, 525, 543, 24299, 2066, 519, 2197, 269, 2334, 5859, 568, 588, 1645, 519, 2542, 540, 513, 1007, 4563, 22032, 17460, 2389, 1335, 539, 1404, 476, 278, 533, 6230, 269, 4873, 476, 866, 269, 3371, 779, 875, 596, 666, 4585, 519, 2542, 543, 1451, 811, 827, 519, 9947, 564, 7570, 20989, 10456, 5741, 269, 0, 288, 2487, 1353, 7000, 602, 972, 568, 513, 3017, 1063, 3968, 609, 519, 27649, 543, 519, 2770, 267, 855, 513, 2603, 4386, 538, 711, 6616, 2436, 646, 729, 7783, 609, 1022, 540, 873, 1317, 540, 519, 16726, 540, 2589, 267, 2523, 609, 519, 7127, 540, 519, 5162, 4005, 267, 799, 568, 1034, 1455, 609, 897, 1091, 543, 14798, 563, 763, 1353, 8612, 602, 1312, 3676, 2671, 2147, 2589, 267, 543, 519, 23244, 1767, 2770, 2589, 666, 3262, 1360, 3533, 543, 666, 1331, 513, 6727, 8611, 267, 513, 15319, 1560, 267, 4743, 13110, 610, 25356, 267, 513, 3819, 11522, 267, 513, 15319, 11563, 543, 513, 15677, 563, 11795, 22187, 12008, 267, 2530, 540, 14031, 267, 13165, 610, 14159, 1928, 267, 543, 4743, 7210, 616, 849, 2589, 2404, 609, 519, 2770, 269, 1809, 891, 2589, 723, 849, 1044, 2938, 538, 27649, 2550, 563, 3080, 540, 519, 2081, 538, 799, 519, 4856, 7431, 3644, 666, 581, 13747, 568, 998, 513, 2530, 540, 519, 2631, 540, 6492, 543, 9329, 267, 2687, 547, 28199, 3933, 1729, 267, 606, 16917, 328, 6048, 693, 519, 2160, 540, 12309, 3427, 540, 5398, 2657, 267, 543, 14161, 5845, 335, 2714, 267, 606, 1274, 267, 9224, 543, 11563, 4274, 693, 519, 2160, 540, 5101, 4911, 20377, 563, 12507, 1729, 5143, 634, 6115, 5403, 602, 865, 2484, 267, 519, 4856, 7431, 3644, 814, 1152, 1185, 835, 2995, 339, 1446, 1129, 1107, 513, 3982, 2530, 540, 6492, 543, 9329, 267, 4658, 609, 519, 2770, 610, 513, 1455, 4411, 543, 17725, 20316, 949, 849, 6336, 741, 2631, 540, 9329, 563, 3719, 2687, 547, 5845, 321, 2714, 267, 519, 3017, 609, 519, 5046, 268, 866, 3644, 568, 602, 519, 2530, 568, 6727, 543, 811, 7096, 267, 799, 5540, 519, 2702, 547, 10646, 1063, 6653, 543, 15280, 267, 543, 621, 949, 4755, 1510, 513, 8631, 344, 9224, 563, 6097, 547, 519, 968, 10339, 816, 892, 3896, 267, 519, 3932, 568, 1310, 513, 1507, 1353, 602, 5795, 9329, 543, 6492, 4255, 547, 476, 1789, 1004, 1107, 476, 1015, 941, 8995, 609, 27649, 5046, 268, 866, 267, 476, 1015, 1185, 897, 1091, 267, 543, 476, 1015, 5249, 607, 513, 1072, 1852, 1895, 563, 24589, 335, 2714, 1767, 519, 2164, 1683, 513, 1259, 547, 16174, 5046, 268, 866, 689, 519, 2770, 610, 513, 4411, 950, 6671, 4255, 616, 711, 2139, 563, 3891, 3773, 602, 1004, 16143, 540, 2348, 519, 6932, 11452, 630, 26542, 268, 866, 264, 949, 1449, 2933, 693, 1753, 676, 11375, 2718, 2472, 971, 607, 6995, 610, 24453, 563, 5194, 10835, 602, 949, 948, 10646, 1063, 11452, 543, 14798, 568, 26032, 540, 7362, 267, 799, 568, 513, 2165, 585, 7411, 7244, 563, 763, 15544, 585, 8376, 6513, 543, 10644, 630, 24922, 264, 8638, 713, 607, 835, 540, 1152, 1079, 2589, 602, 798, 711, 2356, 2671, 609, 14798, 630, 1492, 824, 1373, 2530, 540, 6492, 543, 9329, 1916, 763, 3744, 849, 3177, 5796, 799, 568, 585, 4896, 7092, 689, 513, 1164, 2837, 610, 513, 1007, 10770, 11522, 610, 513, 2530, 610, 1689, 538, 519, 2631, 540, 9329, 610, 6492, 568, 547, 10929, 513, 4856, 7431, 3644, 1449, 267, 543, 763, 1449, 1058, 581, 2944, 1369, 519, 1101, 2947, 2395, 540, 2589, 17729, 563, 763, 3744, 4797, 602, 968, 514, 519, 2395, 689, 519, 1101, 547, 519, 8772, 1554, 540, 707, 2589, 267, 596, 666, 1491, 519, 1449, 538, 519, 8047, 610, 693, 1753, 267, 952, 596, 1931, 513, 1753, 1449, 6539, 593, 519, 8772, 1554, 267, 798, 865, 676, 476, 274, 10681, 3034, 4002, 519, 11359, 1554, 267, 596, 723 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 292, 274, 306, 5680, 4762, 563, 24127, 476, 4391, 273, 267, 476, 1708, 17168, 2537, 476, 275, 628, 4139, 10985, 593, 12124, 7177, 543, 5004, 3163, 630, 2975, 308, 32209, 1708, 274, 994, 31871, 540, 2985, 4433, 10534, 275, 2008, 347, 4089, 1475, 31413, 12020, 5004, 543, 26954, 14716, 2008, 347, 13775, 2228, 1475, 6187, 4728, 476, 1708, 274, 2008, 4002, 519, 1909, 543, 1871, 540, 6917, 4058, 2359, 538, 6917, 4070, 454, 18662, 540, 3540, 4702, 267, 29036, 8891, 15950, 2160, 267, 20707, 336, 532, 476, 14321, 29204, 267, 3624, 454, 265, 4856, 22046, 532, 2278, 281, 513, 18078, 17106, 11333, 3820, 454, 305, 1116, 4058, 568, 547, 1118, 519, 24781, 16517, 543, 22619, 344, 998, 4058, 267, 1519, 3484, 1633, 4058, 543, 21137, 11166, 4058, 269, 2353, 1367, 5656, 4927, 711, 581, 3710, 3544, 519, 9709, 1858, 610, 519, 4070, 2244, 693, 786, 267, 543, 4927, 711, 581, 3710, 538, 519, 23542, 819, 1858, 609, 18106, 5989, 269, 634, 4058, 543, 4070, 540, 29365, 543, 22253, 4927, 581, 8045, 547, 1852, 6694, 5533, 269, 634, 2949, 17293, 540, 1279, 3856, 1514, 267, 2804, 267, 3621, 543, 6639, 1646, 568, 519, 2596, 4493, 585, 13057, 6917, 1646, 543, 4070, 563, 15100, 634, 22439, 267, 3370, 676, 661, 7894, 7070, 267, 476, 1708, 274, 454, 1607, 568, 606, 7046, 7457, 2376, 7856, 896, 519, 2474, 540, 519, 11300, 12780, 21922, 17821, 476, 275, 269, 271, 267, 799, 14998, 19727, 24071, 946, 267, 3892, 267, 543, 12093, 538, 1022, 5420, 267, 3177, 519, 3312, 960, 568, 5265, 11855, 563, 14483, 6165, 14573, 1397, 19469, 1293, 540, 9137, 14358, 630, 21459, 17856, 2376, 5784, 1519, 14103, 5784, 267, 7300, 543, 552, 8530, 28085, 267, 2687, 547, 519, 2139, 1239, 264, 543, 17593, 338, 14358, 593, 17496, 275, 18208, 3760, 563, 10574, 5330, 547, 6165, 593, 519, 6676, 845, 1310, 476, 1001, 276, 269, 634, 1699, 6165, 14573, 568, 2139, 476, 4366, 268, 9834, 3108, 1310, 2228, 8313, 543, 568, 8242, 3232, 593, 3018, 2395, 563, 22873, 658, 4647, 540, 519, 14573, 949, 1491, 513, 1247, 269, 0, 5331, 602, 519, 1650, 596, 4857, 538, 5149, 476, 273, 267, 968, 20091, 23075, 998, 1007, 4064, 892, 729, 835, 540, 519, 2984, 602, 4906, 14648, 593, 519, 4155, 547, 21877, 639, 269, 7316, 1522, 596, 6432, 585, 519, 796, 515, 731, 5639, 540, 519, 1280, 15130, 7861, 574, 538, 602, 1650, 888, 2026, 585, 1141, 649, 1522, 6432, 585, 519, 796, 515, 731, 5639, 538, 476, 272, 15656, 476, 1240, 267, 621, 3085, 1406, 3100, 2009, 547, 5873, 19807, 538, 590, 4954, 630, 821, 945, 7125, 585, 1973, 1070, 6424, 630, 821, 945, 1793, 18805, 538, 5595, 2268, 1070, 610, 22189, 630, 821, 945, 568, 679, 571, 696, 3293, 676, 519, 1286, 333, 720, 1040, 8585, 629, 543, 1520, 21119, 519, 2725, 3128, 987, 924, 616, 8197, 642, 18757, 6804, 3197, 538, 713, 1650, 267, 855, 789, 616, 15991, 9601, 269, 901, 3762, 5760, 531, 543, 519, 1793, 664, 5845, 626, 1149, 563, 27745, 5760, 531, 630, 821, 4171, 2648, 568, 1071, 19945, 1540, 883, 519, 678, 3578, 1652, 1379, 4249, 540, 2797, 30347, 264, 581, 519, 796, 515, 731, 5639, 540, 519, 6408, 286, 594, 6557, 26997, 547, 1589, 865, 269, 2755, 519, 4222, 540, 5760, 531, 779, 2648, 585, 6424, 568, 7152, 538, 519, 1985, 3184, 950, 1352, 9087, 2812, 1200, 4651, 779, 12638, 748, 4729, 267, 621, 4667, 602, 519, 1152, 2601, 1352, 14560, 6424, 865, 1454, 568, 1317, 1352, 267, 1932, 267, 568, 3144, 609, 519, 7086, 656, 787, 540, 1010, 4108, 18129, 543, 519, 1402, 8964, 14120, 1010, 11318, 540, 16221, 5845, 626, 1149, 269, 634, 15669, 3085, 1406, 2161, 713, 12799, 267, 855, 9444, 1281, 519, 15669, 1683, 1022, 4244, 16555, 593, 519, 2470, 540, 1200, 2648, 585, 6424, 1765, 810, 621, 4667, 4023, 547, 8263, 602, 1352, 568, 1159, 527, 1084, 585, 519, 1360, 1482, 2601, 519, 1964, 540, 519, 4182, 630, 338, 1511, 590, 4954, 264, 568, 1159, 527, 1084, 609, 519, 1762, 812, 269, 12559, 550, 1022, 16315, 547, 519, 14669, 267, 594, 6557, 20916, 547, 26686, 5760, 531, 538, 609, 1200, 7015, 267, 22189, 267, 607, 835, 945, 568, 679, 571, 696, 3293, 676, 6424, 779, 10795, 7518, 1080, 563, 3674, 621, 267, 1287, 267, 519, 1793, 664, 5845, 626, 1149, 4171, 796, 515, 731, 9739, 3717, 547, 721, 607, 649, 1224, 609, 4906, 685, 4064, 286, 1403, 865, 267, 1287, 649, 616, 1500, 6446, 6470, 711, 1152, 676, 519, 3197, 540, 590, 4954, 267, 6424, 267, 22189, 267, 543, 5760, 531, 28559, 849, 676, 519, 2239, 5639, 540, 519, 1650, 3294, 269, 8550, 2899, 538, 519, 8574, 568, 519, 5467, 9415, 547, 1480, 1125, 1022, 5845, 25434, 1268, 610, 1895, 269, 1403, 789, 1185, 1044, 2016, 513, 5639, 1739, 741, 27757, 267, 1346, 5845, 626, 1149, 1131, 6157, 723, 1945, 547, 2161, 547, 741, 6146, 619, 630, 21837, 543, 1010, 2367, 1070, 547, 519, 5718, 945, 11307, 13846, 741, 7972, 630, 306, 4954, 543, 1010, 5480, 4536, 1070, 543, 547, 1346, 945, 27089, 1242, 741, 15294, 18996, 630, 297, 517, 11936, 267, 5760, 531, 267, 543, 519, 4182, 693, 1804, 1040, 1717, 267, 18906, 4369, 547, 741, 6207, 16563, 538, 713, 1650, 630, 328, 4318, 269, 11287, 519, 19852, 791, 1601, 2225, 602, 693, 1022, 1448, 513, 5845, 25434, 1522, 2965, 723, 1945, 547, 2161, 585, 5128, 264, 5012, 721, 607, 3988, 547, 13720, 519, 1650, 339, 11839, 563, 2108, 10673, 1406, 596, 1294, 9495, 22090, 704, 519, 1793, 664, 267, 968, 1607, 729, 2760, 513, 9661, 540, 21847, 630, 306, 4954, 543, 6424, 264, 11318, 741, 14763, 282, 713, 729, 2141, 519, 1650, 540, 14763, 630, 306, 4954, 543, 6424, 264, 11562, 532, 1996, 721, 538, 1747, 540, 11318, 1142, 824, 1848, 0, 3674, 18349, 713, 18473, 585, 3025, 888, 1607, 568, 1945, 594, 4280, 8885, 840, 26817, 1725, 2670, 950, 594, 9289, 1946, 594, 5433, 1919, 865, 1471, 1356, 958, 269, 594, 8910, 2141, 1044, 5143, 594, 729, 968, 1729, 334, 6213, 892, 1765, 663, 594, 1031, 547, 3494, 621, 269, 1677, 11883, 267, 594, 1131, 9505, 1524, 543, 2057, 3871, 602, 1500, 803, 1745, 7925, 563, 6546, 779, 1946, 594, 1185, 606, 589, 3873, 256, 4090, 950, 594, 4121, 827, 18349, 6213, 7988, 874, 18319, 630, 11965, 291, 28931, 296, 6368, 6956, 602, 1250, 7920, 3929, 8417, 547, 18349, 3884, 1406, 513, 8471, 4743, 5433, 676, 3025, 267, 855, 513, 2790, 1072, 4161, 1808, 547, 11838, 269, 2755, 1250, 2395, 540, 9505, 1154, 1524, 616, 6140, 3297, 803, 267, 594, 6999, 594, 8910, 4121, 827, 681, 16256, 19692, 563, 2791, 1522, 9305, 547, 1250, 1650, 952, 596, 616, 29932, 14353, 596, 616, 1765, 928, 1755, 323, 5744, 269, 634, 1434, 3377, 568, 602, 1565, 811, 827, 18349, 8417, 949, 948, 596, 1174, 1946, 891, 6727, 267, 7920, 4606, 10836, 267, 543, 1946, 789, 2811, 865, 2182, 547, 1852, 563, 5649, 593, 547, 1451, 811, 827, 1018, 681, 16256, 568, 267, 1018, 3123, 621, 267, 543, 875, 547, 4383, 621, 563, 32451, 1279, 282, 4769, 1406, 1224, 454, 268, 1234, 20287, 6213, 7988, 874, 18319, 666, 1860, 4896, 267, 855, 621, 779, 2523, 1455, 538, 4079, 609, 11838, 267, 10295, 267, 610, 1312, 273, 454, 268, 681, 16256, 3123, 606, 11566, 3929, 543, 5924, 2168, 3210, 547, 9880, 267, 18349, 267, 610, 4606, 540, 14413, 638, 2329, 274, 454, 268, 681, 16256, 568, 5631, 6353, 676, 519, 7920, 3929, 6114, 547, 519, 6071, 8226, 540, 9880, 267, 18349, 267, 3092, 269, 630, 328, 4318, 269, 596, 18783, 621, 1354, 621, 4523, 264, 272, 454, 268, 1635, 519, 2085, 540, 476, 1321, 267, 3214, 609, 11838, 616, 2907, 31411, 547, 18783, 2942, 4205, 609, 1866, 279, 454, 268, 1703, 568, 1100, 10826, 585, 681, 16256, 267, 855, 1896, 2126, 2409, 543, 12003, 2994, 949, 13468, 2589, 454, 3725, 20287, 6213, 7988, 874, 18319, 454, 11965, 291, 568, 6353, 676, 513, 15398, 3929, 8417, 547, 9228, 610, 1483, 18349, 269, 272, 1280, 930, 267, 713, 11566, 4743, 666, 849, 1331, 2168, 1928, 610, 9636, 563, 12179, 821, 666, 1995, 2589, 540, 681, 16256, 267, 855, 621, 779, 1034, 1455, 1851, 2043, 609, 11838, 543, 5924, 20150, 269, 273, 454, 1432, 779, 519, 3017, 1063, 18349, 8417, 543, 18349, 6213, 7988, 874, 18319, 888, 10144, 945, 1995, 18349, 8417, 2356, 2671, 519, 8984, 540, 1373, 5409, 341, 580, 559, 656, 547, 4191, 540, 18349, 267, 10385, 267, 610, 9880, 269, 274, 454, 1103, 4334, 267, 681, 16256, 4016, 547, 513, 31411, 3929, 3210, 602, 779, 16349, 569, 15427, 676, 519, 8226, 540, 18349, 269, 1656, 540, 1576, 267, 2576, 609, 681, 16256, 849, 814, 18349, 8417, 563, 4407, 972, 568, 1713, 16937, 267, 18349, 8417, 568, 2219, 547, 581, 513, 2009, 24888, 547, 681, 16256, 563, 1432, 3123, 681, 16256, 888, 763, 2014, 540, 681, 16256, 568, 1869, 1373, 11567, 267, 855, 3929, 7988, 28832, 630, 1492, 17418, 547, 3927, 1184, 543, 2769, 4664, 275, 264, 814, 1044, 2219, 540, 607, 513, 1761, 2014, 563, 8448, 3123, 540, 681, 16256, 1331, 8194, 543, 4719, 543, 14715, 19753, 21752, 269, 1717, 267, 972, 3884, 1406, 2614, 1382, 547, 1217, 1022, 21533, 607, 540, 2943, 563, 6930, 356, 510, 11838, 1382, 281, 5455, 547, 476, 3583, 260, 540, 4079, 609, 11838, 6560, 609, 3929, 7988, 28832, 269, 276, 454, 3725, 20287, 6213, 7988, 874, 18319, 543, 11838, 454, 4407, 681, 16256, 543, 3929, 7988, 28832, 5749, 1406, 3769, 538, 519, 10368, 7355, 607, 4013, 11838, 2589, 277, 267, 16861, 1382, 814, 3323, 547, 10625, 519, 3095, 1063, 519, 1079, 269, 278, 454, 3963, 616, 1004, 609, 11838, 543, 10295, 12155, 547, 681, 16256, 888, 6930, 356, 510, 11838, 1382, 281, 1635, 519, 942, 513, 1126, 609, 11838, 7140, 476, 1321, 267, 789, 5873, 476, 736, 267, 1822, 811, 2942, 267, 30997, 267, 610, 2565, 6835, 982, 519, 3328, 5778, 20200, 673, 1126, 269, 279, 15742, 569, 267, 713, 666, 1404, 513, 1909, 538, 875, 11838, 619, 1451, 547, 18783, 2942, 4205, 609, 1866, 267, 513, 4295, 10835, 540, 18349, 6213, 7988, 874, 18319, 563, 8505, 2065, 2043, 949, 723, 8373, 9301, 1514, 10291, 543, 1866, 685, 3929, 6547, 267, 5732, 4929, 873, 547, 723, 513, 15398, 6161, 585, 18349, 280, 267, 799, 666, 1020, 883, 681, 16256, 563, 1432, 1281, 681, 16256, 1413, 899, 888, 11514, 25068, 281, 1234, 20287, 568, 2182, 547, 2268, 267, 543, 681, 16256, 3884, 1406, 513, 6101, 5868, 2943, 267, 865, 519, 3169, 681, 16256, 2589, 666, 581, 7294, 547, 5581, 563, 13349, 2589, 540, 681, 16256, 912, 268, 21824, 540, 5821, 282, 19870, 1143, 454, 268, 8899, 1582, 12635, 454, 268, 4317, 21084, 282, 1514, 4160, 454, 268, 18461, 902, 540, 27945, 1145, 454, 268, 10088, 1998, 5498, 22701, 2623, 282, 1004, 268, 921, 2084, 454, 268, 16508, 856, 10767, 7370, 454, 13436, 885, 1063, 681, 16256, 543, 824, 2175, 666, 3006, 2014, 2564, 9439, 547, 23304, 731, 610, 3765, 10972, 1725, 846, 681, 16256, 607, 1945, 3116, 563, 11965, 291, 2589, 666, 17932, 824, 2175, 267, 899, 912, 268, 27079, 1467, 7209, 4524, 630, 289, 11520, 994, 268, 645, 13633, 4524, 454, 268, 5403, 32034, 2566, 4524, 630, 303, 15056, 994, 268, 4317, 4160, 4524, 454, 763, 2360, 540, 681, 16256, 454, 6930, 356, 510, 11838, 1382, 281, 769, 5261, 667, 617, 5459, 267, 631, 6185, 10200, 338, 2376, 16508, 19938, 543, 1234, 20287, 11576, 6638, 267, 646, 2829, 602, 476, 3451, 260, 540, 11838, 4079, 4766, 681, 16256, 607, 741, 1034, 10556, 532, 10835, 267, 543, 602, 1034, 1004, 609, 681, 16256, 1831, 1004, 268, 921, 553, 619, 547, 22771, 563, 14300, 540, 875, 681, 16256, 949, 1860, 596, 912, 268, 634, 2530, 540, 2123, 3853, 630, 20357, 596, 18783, 5821, 19037, 994, 268, 3680, 532, 1919, 602, 1223, 1291, 547, 5821, 610, 19849, 14536, 630, 324, 3052, 269, 8013, 2621, 267, 1514, 2621, 994, 268, 4317, 15639, 630, 328, 4318, 269, 9319, 1866, 9308, 543, 25274, 1765, 16838, 2673, 2828, 994, 268, 3502, 6998, 585, 948, 630, 20357, 596, 2811, 2377, 541, 21724, 827, 17596, 621, 538, 519, 1101, 1747, 994, 268, 16508, 25874, 689, 3586, 2604, 547, 1685, 630, 12304, 675, 602, 2693, 3357, 689, 707, 1378, 2247, 994, 1692, 547, 4383, 18349, 6213, 7988, 874, 18319, 454, 307, 805, 906, 616, 2139 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 602, 616, 2147, 547, 267, 855, 711, 581, 11821, 609, 267, 1990, 1922, 18017, 630, 338, 16577, 16133, 18570, 5470, 264, 610, 824, 2147, 2627, 4990, 19195, 2152, 563, 2414, 16924, 2953, 2627, 4990, 1931, 267, 1101, 6467, 547, 22478, 25042, 1287, 2824, 606, 1367, 3068, 610, 1895, 540, 8188, 4470, 540, 519, 5551, 6364, 269, 8921, 267, 689, 519, 12379, 327, 10624, 267, 2824, 23037, 15689, 2507, 1287, 519, 4781, 602, 786, 3313, 519, 3617, 4990, 1931, 610, 519, 5542, 267, 552, 3052, 269, 12379, 327, 9732, 23037, 15689, 9732, 29120, 269, 2677, 19491, 543, 10956, 519, 5542, 270, 817, 9892, 1184, 538, 9258, 547, 1305, 519, 11904, 1931, 1107, 7252, 547, 519, 15493, 1058, 581, 1305, 2063, 563, 17637, 4063, 281, 950, 1210, 23037, 15689, 2507, 3248, 272, 264, 5103, 1373, 7157, 4294, 804, 6235, 949, 6414, 563, 273, 264, 2627, 5542, 1931, 568, 711, 2141, 6654, 865, 930, 4693, 543, 5470, 1058, 581, 4397, 563, 274, 264, 16924, 14577, 2627, 1931, 949, 711, 581, 6462, 3544, 2349, 2658, 563, 275, 264, 4990, 1931, 804, 6235, 4386, 7488, 607, 547, 875, 11413, 568, 3989, 267, 676, 3787, 14090, 610, 3545, 12147, 563, 276, 264, 804, 6235, 568, 681, 2658, 5422, 543, 7348, 1636, 1744, 8172, 8200, 267, 17729, 538, 930, 855, 711, 1866, 563, 30131, 281, 519, 10066, 540, 3615, 1369, 513, 6429, 5540, 875, 4990, 1931, 31136, 1107, 607, 3615, 616, 6410, 610, 1847, 267, 519, 2078, 1063, 7252, 2242, 267, 865, 15029, 519, 17021, 15796, 949, 581, 2953, 950, 3168, 693, 513, 6429, 4395, 6823, 621, 1522, 711, 581, 950, 9763, 689, 519, 2427, 267, 21933, 1664, 569, 267, 543, 865, 593, 269, 1280, 1543, 21235, 538, 1483, 942, 630, 18524, 9817, 264, 713, 666, 1118, 21338, 519, 1966, 7357, 267, 16602, 563, 10048, 1302, 4259, 519, 4990, 1931, 540, 513, 5542, 630, 13548, 1283, 1107, 661, 324, 557, 324, 264, 1107, 713, 949, 610, 949, 711, 991, 547, 581, 2944, 547, 782, 7252, 543, 711, 1175, 1346, 27109, 2152, 267, 799, 585, 1950, 3615, 949, 2154, 930, 2219, 547, 5265, 3313, 519, 2953, 267, 9258, 267, 1931, 540, 5542, 543, 3959, 4259, 547, 27298, 804, 6235, 630, 339, 709, 1076, 9634, 8612, 1107, 3239, 5377, 1107, 661, 324, 557, 324, 1040, 0, 9773, 6458, 12071, 528, 728, 630, 25519, 293, 273, 9984, 303, 32535, 6338, 912, 9773, 6458, 21973, 568, 519, 22803, 7623, 540, 519, 2609, 7513, 543, 14806, 710, 609, 519, 4542, 6970, 293, 273, 269, 898, 568, 513, 3043, 1202, 20107, 4396, 269, 898, 4386, 607, 519, 7777, 14806, 924, 630, 10193, 1572, 2770, 832, 1706, 1070, 799, 568, 1419, 7184, 25549, 19962, 547, 23606, 563, 300, 6897, 2527, 16088, 4281, 269, 271, 4037, 575, 6440, 28485, 6629, 272, 454, 7343, 30970, 16088, 19669, 26543, 4396, 630, 338, 17532, 14848, 616, 12001, 994, 27839, 1154, 1448, 16088, 272, 267, 275, 1240, 11019, 290, 630, 273, 267, 6812, 275, 11019, 293, 282, 476, 272, 267, 7597, 272, 918, 994, 22517, 4979, 1448, 16088, 273, 267, 276, 3451, 11019, 290, 630, 275, 267, 6795, 272, 11019, 293, 282, 476, 273, 267, 3199, 277, 918, 994, 22069, 28169, 538, 1216, 16088, 271, 269, 27888, 575, 13624, 630, 1240, 11019, 290, 994, 271, 269, 28318, 575, 13624, 630, 736, 11019, 290, 994, 22069, 28169, 1587, 630, 298, 4944, 264, 16088, 274, 269, 280, 6398, 476, 1015, 6629, 1556, 454, 22069, 28169, 16088, 1231, 20107, 538, 21449, 821, 454, 338, 2775, 569, 19729, 538, 3679, 454, 300, 8568, 18687, 630, 395, 485, 264, 16088, 268, 2764, 269, 271, 6440, 1015, 6629, 277, 4699, 274, 8276, 565, 454, 8269, 847, 633, 4994, 630, 333, 291, 264, 16088, 272, 269, 275, 3451, 279, 454, 290, 15009, 531, 2497, 16088, 31957, 545, 12627, 1062, 267, 524, 293, 1321, 454, 22134, 4088, 21973, 568, 5423, 689, 7513, 21973, 538, 2872, 543, 8047, 563, 22134, 4088, 21973, 568, 513, 1360, 1271, 13591, 538, 3114, 2872, 267, 799, 666, 581, 1031, 547, 5965, 8652, 22381, 7595, 3679, 267, 5214, 14806, 1938, 267, 14806, 1938, 543, 824, 3114, 556, 698, 757, 563, 31640, 16193, 281, 25289, 12071, 528, 728, 630, 25519, 293, 273, 9984, 303, 32535, 267, 9755, 267, 14273, 267, 12051, 267, 11426, 1242, 0, 1691, 5999, 11406, 3528, 7861, 3073, 517, 345, 1446, 345, 1923, 7831, 8242, 281, 9484, 476, 2641, 267, 476, 1708, 271, 454, 347, 11192, 28055, 338, 281, 476, 276, 1704, 272, 454, 2304, 1274, 568, 513, 1950, 1418, 1932, 799, 1568, 609, 824, 8219, 547, 2327, 519, 6662, 6217, 568, 6913, 269, 898, 666, 581, 9286, 883, 9018, 267, 1647, 543, 6418, 1274, 606, 782, 713, 2694, 723, 8219, 602, 2327, 1697, 6771, 543, 21200, 540, 3280, 269, 12713, 476, 9873, 2423, 22845, 13658, 568, 513, 1434, 3391, 547, 1451, 827, 606, 1274, 269, 0, 16675, 6052, 5303, 454, 20245, 2029, 267, 3039, 2029, 610, 2973, 2029, 568, 519, 3498, 540, 835, 610, 811, 540, 2825, 2257, 267, 3039, 7998, 267, 2825, 5464, 543, 5907, 3457, 547, 6895, 267, 2203, 543, 18359, 519, 2067, 1604, 543, 2200, 267, 543, 547, 26193, 519, 2942, 5222, 540, 1480, 9525, 563, 3963, 568, 5682, 5303, 9751, 12830, 888, 4131, 779, 3068, 621, 2443, 519, 1158, 649, 2972, 568, 4657, 1169, 1554, 269, 2060, 6937, 540, 6820, 654, 9879, 543, 5682, 5600, 12186, 267, 15888, 540, 1007, 2029, 616, 1373, 14593, 547, 2097, 909, 609, 5499, 2093, 602, 798, 711, 3441, 519, 3618, 267, 610, 824, 2067, 2200, 269, 1403, 2944, 5265, 267, 891, 2242, 1223, 5732, 3500, 1524, 6820, 654, 9879, 267, 798, 1447, 2800, 547, 1004, 267, 543, 20427, 2087, 519, 1072, 540, 938, 4541, 269, 634, 1655, 1259, 547, 3136, 713, 2318, 2208, 568, 998, 2799, 5682, 5303, 2866, 563, 30395, 11310, 593, 19889, 6363, 7037, 14362, 543, 5303, 454, 288, 1390, 1747, 547, 1376, 538, 1620, 519, 2956, 540, 9891, 543, 6489, 2029, 267, 2549, 520, 1503, 3091, 7317, 19180, 6030, 538, 6489, 543, 9891, 16610, 602, 1683, 6267, 609, 606, 1620, 540, 875, 649, 666, 10244, 891, 5318, 1648, 2959, 269, 2368, 540, 519, 3584, 602, 15226, 786, 2263, 1331, 875, 547, 1224, 513, 4786, 6029, 2842, 3270, 543, 875, 547, 5265, 2990, 513, 3859, 8470, 585, 19993, 5982, 4015, 2429, 519, 3003, 1032, 563, 16675, 5303, 9751, 23850, 547, 17546, 24732, 268, 4002, 267, 16763, 268, 5649, 344, 10341, 454, 288, 3901, 1503, 779, 9891, 543, 6489, 8800, 1138, 22399, 267, 6462, 676, 7317, 19180, 267, 1683, 519, 4316, 547, 2744, 2872, 268, 23439, 1540, 1983, 538, 519, 4928, 563, 23530, 543, 6489, 3353, 5974, 2154, 7463, 2866, 547, 2327, 602, 8704, 1949, 5106, 547, 741, 6099, 2157, 269, 2755, 891, 1949, 616, 2147, 547, 1866, 602, 1331, 5122, 543, 5714, 3334, 267, 741, 10380, 267, 1305, 909, 267, 5826, 267, 543, 30076, 5773, 616, 2189, 543, 1697, 2866, 568, 1898, 563, 294, 8724, 519, 1702, 543, 1983, 3177, 538, 891, 1565, 1949, 616, 513, 6712, 540, 2549, 520, 1503, 779, 2949, 5682, 6052, 5303, 1982, 602, 4025, 519, 15226, 593, 519, 2619, 547, 16565, 24501, 1644, 547, 3039, 4066, 563, 21446, 894, 6052, 4804, 7010, 454, 21446, 894, 6052, 4804, 3590, 1107, 6489, 543, 9891, 630, 25616, 5025, 4488, 2567, 1855, 2851, 1053, 1883, 1983, 2877, 585, 2816, 1967, 538, 1507, 2842, 4244, 1648, 543, 3859, 1648, 269, 4841, 786, 4309, 3946, 6823, 4244, 1648, 2866, 543, 1983, 789, 666, 946, 593, 519, 2816, 269, 4746, 2139, 1210, 2701, 520, 1117, 14465, 3570, 8048, 338, 630, 25616, 5025, 4488, 20784, 994, 21446, 894, 6052, 4804, 3590, 1107, 9891, 630, 25616, 5025, 2464, 2567, 1855, 2851, 14971, 3859, 23390, 519, 1702, 543, 1983, 789, 991, 547, 5965, 585, 13980, 540, 519, 3859, 24501, 6035, 676, 971, 5909, 4328, 2516, 607, 715, 5723, 4753, 303, 630, 22139, 1977, 8274, 540, 26133, 6052, 31943, 619, 264, 543, 661, 14011, 630, 16978, 16361, 3353, 5974, 5948, 1040, 4746, 2139, 1210, 2701, 520, 1117, 14465, 3570, 8048, 338, 630, 25616, 5025, 8577, 299, 994, 21446, 894, 6052, 5410, 14114, 985, 454, 294, 5090, 6874, 773, 4804, 3590, 1107, 9891, 630, 5952, 8566, 307, 272, 2567, 1323, 7269, 1062, 602, 666, 7494, 4228, 519, 12588, 540, 519, 476, 25616, 268, 21446, 894, 6052, 4804, 7010, 630, 25616, 5025, 4488, 610, 476, 25616, 5025, 2464, 1070, 621, 2934, 1483, 8996, 3334, 602, 616, 4122, 1336, 538, 5010, 543, 10821, 5054, 547, 948, 1118, 6267, 2816, 268, 2819, 543, 22316, 873, 585, 24501, 269, 4746, 2139, 1210, 2701, 520, 1117, 14465, 3570, 8048, 338, 630, 5952, 8566, 307, 272, 20784, 994, 23530, 14346, 26275, 13749, 630, 5952, 4149, 5183, 272, 2567, 2052, 581, 3773, 5196, 519, 20010, 6052, 4804, 3590, 1107, 6489, 543, 9891, 630, 25616, 5025, 4488, 1070, 610, 20010, 6052, 4804, 3590, 1107, 9891, 630, 25616, 5025, 2464, 1040, 901, 1062, 2882, 513, 5985, 7406, 609, 28253, 5086, 267, 3859, 8440, 267, 543, 606, 8818, 10814, 563, 23530, 14346, 6129, 3244, 15975, 1107, 20010, 6052, 630, 5952, 4149, 4916, 272, 2567, 2052, 581, 3773, 5196, 519, 20010, 6052, 4804, 3590, 1107, 6489, 543, 9891, 630, 25616, 5025, 4488, 1070, 610, 20010, 6052, 4804, 3590, 1107, 9891, 630, 25616, 5025, 2464, 1040, 634, 9891, 14346, 6129, 3244, 15975, 2866, 1062, 2882, 513, 3141, 1138, 15975, 1769, 1305, 267, 1379, 10814, 543, 593, 270, 4752, 6467, 267, 543, 20387, 1062, 563, 23530, 14346, 4804, 7010, 454, 23530, 14346, 12305, 566, 4804, 3590, 630, 31405, 4149, 303, 293, 272, 2567, 1855, 2851, 1053, 519, 10380, 543, 10243, 532, 540, 7470, 7317, 543, 1796, 17038, 821, 25675, 1949, 585, 5010, 543, 10821, 3156, 269, 898, 849, 7028, 519, 1565, 2556, 547, 5965, 585, 13980, 540, 715, 5723, 4753, 303, 630, 22139, 1977, 8274, 540, 26133, 6052, 31943, 619, 264, 13995, 543, 2337, 547, 5965, 1053, 585, 3811, 7694, 538, 519, 3859, 25675, 2872, 2361, 563, 23530, 14346, 24410, 7632, 327, 17415, 4804, 7010, 630, 31405, 4149, 8976, 272, 2567, 14190, 338, 1053, 547, 1020, 519, 7463, 1983, 543, 1702, 2877, 585, 2324, 609, 519, 1455, 2010, 540, 14346, 1949, 269, 634, 476, 31405, 4149, 8976, 272, 11414, 1053, 4276, 267, 5106, 267, 5752, 267, 543, 30076, 540, 8028, 270, 17584, 543, 7470, 268, 8588, 1949, 269, 4746, 2139, 1210, 2701, 520, 1117, 14465, 3570, 8048, 338, 630, 31405, 4149, 8976, 272, 20784, 994, 23530, 26365, 4804, 7010, 454, 23530, 26365, 24410, 7632, 327, 17415, 1107, 1849, 2216, 6441, 17274, 4804, 3590, 630, 31405, 4149, 307, 12710, 272, 2567, 14190, 338, 6267, 547, 1020, 519, 7463, 1983, 543, 1702, 2877, 585, 2324, 609, 519, 1079, 1455, 2010, 540, 8143, 6806, 2000, 17274, 1949, 281, 8963, 3724, 543, 2046, 28962, 269, 9891, 26365, 24410, 7632, 327, 17415, 11414, 6267, 827, 8220, 267, 5665, 267, 5752, 267, 543, 30076, 1312, 8963, 3724, 543, 2046, 28962, 1949, 269, 4746, 2139, 1210, 2701, 520, 1117, 14465, 3570, 8048, 338, 630, 31405, 4149, 307, 12710, 272, 20784, 994, 23530, 26365, 12305, 566, 4804, 3590, 630, 31405, 4149, 307, 293, 272, 2567, 1855, 2851, 1053, 519, 10380, 543, 10243, 532, 540, 6806, 8520, 543, 1930, 8520, 3859, 8143, 1949, 585, 5010, 543, 10821, 3156, 269, 4841, 786, 1451, 875, 547, 3888, 1949, 676, 8939, 267, 8600, 267, 20387, 543, 8220, 3859, 8143, 3334, 1210, 7601, 8685, 532, 267, 31668, 10398, 532, 267, 543, 5122, 11443, 563, 23530, 26365, 24410, 7632, 327, 17415, 1107, 7046, 6441, 17274, 4804, 3590, 630, 31405, 4149, 307, 5357, 272, 2567, 11929, 1149, 875, 547, 1921, 267, 7500, 267, 1982, 267, 543, 23676, 2393, 1930, 2000, 17274, 3859, 8143, 1949, 269, 634, 4999, 540, 538, 3829, 267, 19180, 6437, 609, 1483, 8996, 3937, 3947, 6267, 3946, 6823, 1995, 609, 1312, 8963, 3724, 543, 2046, 28962, 1930, 2000, 17274, 3859, 8143, 1949, 269, 4746, 2139, 1210, 2701, 520, 1117, 14465, 3570, 8048, 338, 630, 31405, 4149, 307, 5357, 272, 20784, 994, 307, 7875, 710, 24410, 7632, 327, 17415, 4804, 7010, 454, 307, 7875, 710, 11272, 16735, 24410, 7632, 327, 17415, 4804, 3590, 630, 31405, 6874, 292, 295, 272, 2567, 1855, 2851, 6267, 13261, 1983, 585, 2842, 17081, 5106, 267, 16369, 267, 543, 30076, 538, 513, 2647, 3099, 540, 3871, 269, 5695, 321, 710, 11272, 16735, 24410, 7632, 327, 17415, 2866, 1062, 2636, 6267, 547, 1020, 543, 2259, 5057, 267, 1016, 17882, 267, 543, 1062, 1377, 1983, 563, 307, 7875, 710, 31098, 6513, 24410, 7632, 327, 17415, 4804, 3590 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7918, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 3199, 278, 912, 1038, 1820, 3488, 7918, 268, 3199, 278, 815, 910, 4037, 274, 5073, 825, 952, 1003, 272, 2652, 476, 7918, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 3199, 279, 912, 1038, 1820, 3488, 7918, 268, 3199, 279, 815, 910, 4037, 275, 5073, 825, 952, 1003, 272, 2652, 476, 7918, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 3199, 280, 912, 1038, 1820, 3488, 7918, 268, 3199, 280, 815, 910, 4037, 276, 5073, 825, 952, 1003, 272, 2652, 476, 7918, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 1015, 912, 1038, 1820, 3488, 7918, 268, 279, 1015, 815, 910, 4037, 277, 5073, 825, 952, 1003, 272, 2652, 476, 7918, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 1556, 912, 1038, 1820, 3488, 7918, 268, 279, 1556, 815, 910, 4037, 278, 5073, 825, 952, 1003, 272, 2652, 476, 7918, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 1321, 912, 1038, 1820, 3488, 7918, 268, 279, 1321, 815, 910, 4037, 279, 5073, 825, 952, 1003, 272, 2652, 476, 7918, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 1724, 912, 1038, 1820, 3488, 7918, 268, 279, 1724, 815, 910, 4037, 280, 5073, 825, 952, 1003, 272, 2652, 476, 7918, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 1691, 912, 1038, 1820, 3488, 7918, 268, 279, 1691, 815, 910, 31318, 5073, 825, 952, 1003, 272, 2652, 476, 7918, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 1428, 912, 1038, 1820, 3488, 7918, 268, 279, 1428, 815, 910, 278, 8618, 5073, 825, 952, 1003, 272, 2652, 476, 7918, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 1626, 912, 1038, 1820, 3488, 7918, 268, 279, 1626, 815, 910, 278, 7830, 5073, 825, 952, 1003, 272, 2652, 476, 7918, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 1704, 912, 1038, 1820, 3488, 7918, 268, 279, 1704, 815, 910, 278, 8287, 5073, 825, 952, 1003, 272, 2652, 476, 7918, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 1240, 912, 1038, 1820, 3488, 7918, 268, 279, 1240, 815, 910, 278, 5038, 5073, 825, 952, 1003, 272, 2652, 476, 7918, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 866, 912, 1038, 1820, 3488, 7918, 268, 279, 866, 815, 910, 278, 4792, 5073, 825, 952, 1003, 272, 2652, 476, 7918, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 736, 912, 1038, 1820, 3488, 7918, 268, 279, 736, 815, 910, 278, 5780, 5073, 825, 952, 1003, 272, 2652, 476, 7918, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 2641, 912, 1038, 1820, 3488, 7918, 268, 279, 2641, 815, 910, 278, 6858, 5073, 825, 952, 1003, 272, 2652, 476, 7918, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 2420, 912, 1038, 1820, 3488, 7918, 268, 279, 2420, 815, 910, 278, 6924, 5073, 825, 952, 1003, 272, 2652, 476, 7918, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 2537, 912, 1038, 1820, 3488, 7918, 268, 279, 2537, 815, 910, 278, 7597, 5073, 825, 952, 1003, 272, 2652, 476, 7918, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 2190, 912, 1038, 1820, 3488, 7918, 268, 279, 2190, 815, 910, 278, 3583, 5073, 825, 952, 1003, 272, 2652, 476, 7918, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 1839, 912, 1038, 1820, 3488, 7918, 268, 279, 1839, 815, 910, 6507, 272, 5073, 825, 952, 1003, 272, 2652, 476, 7918, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 2918, 912, 1038, 1820, 3488, 7918, 268, 279, 2918, 815, 910, 6507, 273, 5073, 825, 952, 1003, 272, 2652, 476, 7918, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 2767, 912, 1038, 1820, 3488, 7918, 268, 279, 2767, 815, 910, 6507, 274, 5073, 825, 952, 1003, 272, 2652, 476, 7918, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 2764, 912, 1038, 1820, 3488, 7918, 268, 279, 2764, 815, 910, 6507, 275, 5073, 825, 952, 1003, 272, 2652, 476, 7918, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 3066, 912, 1038, 1820, 3488, 7918, 268, 279, 3066, 815, 910, 278, 4037, 5073, 825, 952, 1003, 272, 2652, 476, 7918, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 1789, 912, 1038, 1820, 3488, 7918, 268, 279, 1789, 815, 910, 6507, 277, 5073, 825, 952, 1003, 272, 2652, 476, 7918, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 4029, 912, 1038, 1820, 3488, 7918, 268, 279, 4029, 815, 910, 6507, 278, 5073, 825, 952, 1003, 272, 2652, 476, 7918, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 3953, 912, 1038, 1820, 3488, 7918, 268, 279, 3953, 815, 910, 278, 4281, 5073, 825, 952, 1003, 272, 2652, 476, 7918, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 3451, 912, 1038, 1820, 3488, 7918, 268, 279, 3451, 815, 910, 6507, 280, 5073, 825, 952, 1003, 272, 2652, 476, 7918, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 4097, 912, 1038, 1820, 3488, 7918, 268, 279, 4097, 815, 910, 278, 3199, 5073, 825, 952, 1003, 272, 2652, 476, 7918, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 3374, 912, 1038, 1820, 3488, 7918, 268, 279, 3374, 815, 910, 4281, 272, 5073, 825, 952, 1003, 272, 2652, 476, 7918, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 3607, 912, 1038, 1820, 3488, 7918, 268, 279, 3607, 815, 910, 4281, 273, 5073, 825, 952, 1003, 272, 2652, 476, 7918, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 4391, 912, 1038, 1820, 3488, 7918, 268, 279, 4391, 815, 910, 4281, 274, 5073, 825, 952, 1003, 272, 2652, 476, 7918, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 4343, 912, 1038, 1820, 3488, 7918, 268, 279, 4343, 815, 910, 4281, 275, 5073, 825, 952, 1003, 272, 2652, 476, 7918, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 4375, 912, 1038, 1820, 3488, 7918, 268, 279, 4375, 815, 910, 4281, 276, 5073, 825, 952, 1003, 272, 2652, 476, 7918, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 2412, 912, 1038, 1820, 3488, 7918, 268, 279, 2412, 815, 910, 4281, 277, 5073, 825, 952, 1003, 272, 2652, 476, 7918, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 6078, 912, 1038, 1820, 3488, 7918, 268, 279, 6078, 815, 910, 4281, 278, 5073, 825, 952, 1003, 272, 2652, 476, 7918, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 5655, 912, 1038, 1820, 3488, 7918, 268, 279, 5655, 815, 910, 4281, 279, 5073, 825, 952, 1003, 272, 2652, 476, 7918, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 6246, 912, 1038, 1820, 3488, 7918, 268, 279, 6246, 815, 910, 4281, 280, 5073, 825, 952, 1003, 272, 2652, 476, 7918, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 4510, 912, 1038, 1820, 3488, 7918, 268, 279, 4510, 815, 910, 278, 3445, 5073, 825, 952, 1003, 272, 2652, 476, 7918, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 3393, 912, 1038, 1820, 3488, 7918, 268, 279, 3393, 815, 910, 8064, 272, 5073, 825, 952, 1003, 272, 2652, 476, 7918, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 5379, 912, 1038, 1820, 3488, 7918, 268, 279, 5379, 815, 910, 8064, 273, 5073, 825, 952, 1003, 272, 2652, 476, 7918, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 5325, 912, 1038, 1820, 3488, 7918, 268, 279, 5325, 815, 910, 8064, 274, 5073, 825, 952, 1003, 272, 2652, 476, 7918, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 4366, 912, 1038, 1820, 3488, 7918, 268, 279, 4366, 815, 910, 8064, 275, 5073, 825, 952, 1003, 272, 2652, 476, 7918, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 5392, 912, 1038, 1820, 3488, 7918, 268, 279, 5392, 815, 910, 278, 4817, 5073, 825, 952, 1003, 272, 2652, 476, 4649, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 8517, 912, 1038, 1820, 3488, 4649, 268, 8517, 815, 910, 278, 3393, 5073, 825, 952, 1003, 272, 2652, 476, 4649, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 3199, 272, 912, 1038, 1820, 3488, 4649, 268, 3199, 272, 815, 910, 278, 5379, 5073, 825, 952, 1003, 272, 2652, 476, 4649, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 26764, 912, 1038, 1820, 3488, 4649, 268, 26764, 815, 910, 278, 5325, 5073, 825, 952, 1003, 272, 2652, 476, 4649, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 3199, 274, 912, 1038, 1820, 3488, 4649, 268, 3199, 274, 815, 910, 278, 4366, 5073, 825, 952, 1003, 272, 2652, 476, 4649, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 3199, 275, 912, 1038, 1820, 3488, 4649, 268, 3199, 275, 815, 910, 278, 5392, 5073, 825, 952, 1003, 272, 2652, 476, 4649, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 3199, 276, 912, 1038, 1820, 3488, 4649, 268, 3199, 276, 815, 910, 16020, 5073, 825, 952, 1003, 272, 2652, 476, 4649, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 3199, 277, 912, 1038, 1820, 3488, 4649, 268, 3199, 277, 815, 910, 4037, 272, 5073, 825, 952, 1003, 272, 2652, 476, 4649, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 3199, 278, 912, 1038, 1820, 3488, 4649, 268, 3199, 278, 815, 910, 4037, 273, 5073, 825, 952, 1003, 272, 2652, 476, 4649, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 3199, 279, 912, 1038, 1820, 3488, 4649, 268, 3199, 279, 815, 910, 4037, 274, 5073, 825, 952, 1003, 272, 2652, 476, 4649, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 3199, 280, 912, 1038, 1820, 3488, 4649, 268, 3199, 280, 815, 910, 4037, 275, 5073, 825, 952, 1003, 272, 2652, 476, 4649, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 1015, 912, 1038, 1820, 3488, 4649, 268, 279, 1015, 815, 910, 4037, 276, 5073, 825, 952, 1003, 272, 2652, 476, 4649, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 1556, 912, 1038, 1820, 3488, 4649, 268, 279, 1556, 815, 910, 4037, 277, 5073, 825, 952, 1003, 272, 2652, 476, 4649, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 1321, 912, 1038, 1820, 3488, 4649, 268, 279, 1321, 815, 910, 4037, 278, 5073, 825, 952, 1003, 272, 2652, 476, 4649, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 1724, 912, 1038, 1820, 3488, 4649, 268, 279, 1724, 815, 910, 4037, 279, 5073, 825, 952, 1003, 272, 2652, 476, 4649, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 1691, 912, 1038, 1820, 3488, 4649, 268, 279, 1691, 815, 910, 4037, 280, 5073, 825, 952, 1003, 272, 2652, 476, 4649, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 1428, 912, 1038, 1820, 3488, 4649, 268, 279, 1428, 815, 910, 31318, 5073, 825, 952, 1003, 272, 2652, 476, 4649, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 1626, 912, 1038, 1820, 3488, 4649, 268, 279, 1626, 815, 910, 278, 8618, 5073, 825, 952, 1003, 272, 2652, 476, 4649, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 1704, 912, 1038, 1820, 3488, 4649, 268, 279, 1704, 815, 910, 278, 7830, 5073, 825, 952, 1003, 272, 2652, 476, 4649, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 1240, 912, 1038, 1820, 3488, 4649, 268, 279, 1240, 815, 910, 278, 8287, 5073, 825, 952, 1003, 272, 2652, 476, 4649, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 866, 912, 1038, 1820, 3488, 4649, 268, 279, 866, 815, 910, 278, 5038, 5073, 825, 952, 1003, 272, 2652, 476, 4649, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 736, 912, 1038, 1820, 3488, 4649, 268, 279, 736, 815, 910, 278, 4792, 5073, 825, 952, 1003, 272, 2652, 476, 4649, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 2641, 912, 1038, 1820, 3488, 4649, 268, 279, 2641, 815, 910, 278, 5780, 5073, 825, 952, 1003, 272, 2652, 476, 4649, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 2420, 912, 1038, 1820, 3488, 4649, 268, 279, 2420, 815, 910, 278, 6858, 5073, 825, 952, 1003, 272, 2652, 476, 4649, 543, 1129, 2652, 25023, 543, 1003, 273, 2652 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 7089, 540, 9981, 2941, 31870, 547, 561, 692, 288, 1279, 942, 3516, 594, 4312, 2938, 513, 1957, 6236, 267, 2016, 4399, 749, 259, 6378, 267, 9193, 585, 692, 11377, 8999, 3709, 333, 1422, 19008, 1535, 267, 630, 333, 267, 1422, 749, 264, 815, 476, 272, 348, 476, 272, 9681, 8170, 1576, 267, 713, 568, 2653, 547, 7447, 609, 513, 24735, 5470, 2165, 540, 1269, 302, 7268, 12534, 12978, 10857, 4297, 10608, 1717, 538, 519, 1957, 594, 993, 3168, 585, 519, 4589, 13986, 13844, 1732, 23451, 267, 1210, 930, 22263, 2079, 630, 514, 1880, 519, 22263, 3126, 585, 519, 27847, 851, 540, 1535, 1040, 594, 1589, 267, 23451, 538, 519, 2040, 692, 11377, 8999, 3709, 333, 1422, 19008, 1535, 348, 630, 333, 267, 1422, 749, 14638, 616, 9247, 606, 6697, 8390, 540, 519, 1966, 267, 865, 8100, 593, 713, 1966, 616, 10950, 607, 6202, 780, 763, 2601, 1946, 594, 993, 5461, 538, 713, 1966, 568, 3267, 6986, 7279, 269, 594, 993, 8049, 547, 1294, 875, 519, 22263, 2409, 8544, 1117, 538, 267, 543, 1018, 2186, 540, 23451, 789, 5795, 267, 1256, 1498, 540, 1576, 649, 3112, 2731, 2503, 4376, 1932, 9735, 538, 713, 1966, 780, 8894, 296, 22394, 569, 3314, 602, 519, 4760, 538, 2243, 568, 2693, 547, 581, 519, 8225, 4569, 269, 28743, 267, 610, 519, 8225, 4569, 269, 4750, 267, 855, 594, 1223, 581, 4625, 4636, 593, 713, 554, 4875, 630, 810, 2484, 1250, 8942, 693, 979, 690, 1782, 609, 834, 4754, 6598, 257, 723, 8959, 1040, 1107, 1109, 330, 565, 1731, 2904, 476, 1789, 1412, 1321, 693, 476, 279, 281, 6321, 692, 2005, 568, 2653, 547, 2491, 834, 6011, 519, 22263, 2079, 8544, 1117, 538, 2668, 8745, 569, 267, 1210, 519, 3044, 10035, 585, 519, 631, 7238, 321, 3780, 1599, 267, 519, 25586, 781, 9103, 1304, 1599, 267, 543, 519, 8870, 1315, 27847, 851, 3252, 267, 707, 2040, 666, 581, 2854, 607, 6695, 8999, 3709, 333, 315, 548, 1535, 348, 1422, 8999, 3709, 323, 315, 13232, 3799, 267, 331, 14587, 1422, 14153, 5560, 264, 815, 1422, 8999, 3709, 323, 315, 13232, 561, 348, 1422, 14153, 5560, 264, 1422, 331, 28776, 1535, 7933, 1422, 337, 28776, 815, 1535, 1422, 8999, 3709, 323, 315, 13232, 561, 348, 1422, 2765, 3189, 14153, 5560, 14587, 323, 1341, 681, 815, 1422, 2765, 3189, 12978, 10857, 14587, 331, 343, 1341, 681, 267, 2330, 1141, 3230, 305, 815, 1422, 8999, 3709, 323, 315, 13232, 561, 348, 1422, 14153, 5560, 264, 1422, 346, 343, 7933, 315, 20467, 2330, 1306, 12658, 528, 8891, 22201, 4767, 267, 713, 2907, 3411, 1182, 547, 2087, 519, 14230, 2165, 689, 4399, 12978, 10857, 7751, 547, 4399, 339, 879, 10857, 7751, 543, 8197, 267, 547, 519, 1297, 540, 4009, 6954, 16975, 540, 1269, 331, 8961, 799, 568, 1269, 273, 17353, 18652, 10857, 264, 23201, 1677, 1205, 1732, 9193, 267, 835, 666, 2119, 547, 11690, 538, 519, 22263, 7269, 585, 4399, 346, 343, 7933, 315, 4151, 543, 7447, 519, 4611, 18304, 780, 2026, 547, 519, 1957, 596, 2446, 267, 594, 1589, 594, 729, 2111, 547, 5544, 621, 856, 281, 568, 621, 834, 15761, 516, 7356, 2418, 540, 4399, 18773, 3287, 267, 301, 21174, 8999, 3709, 333, 283, 343, 301, 267, 263, 333, 267, 301, 6661, 272, 348, 476, 272, 14870, 315, 12978, 18217, 7751, 257, 676, 623, 269, 8943, 8619, 543, 631, 269, 715, 1515, 267, 3370, 538, 2052, 611, 269, 4569, 269, 18409, 269, 476, 6078, 630, 274, 264, 630, 1960, 279, 1070, 6032, 269, 476, 28178, 1700, 31003, 286, 6271, 1957, 676, 519, 1482, 4589, 593, 519, 1482, 1641, 281, 834, 299, 3855, 1063, 4399, 18773, 3287, 267, 301, 21174, 8999, 3709, 333, 283, 343, 301, 267, 263, 333, 267, 301, 6661, 272, 348, 476, 272, 14870, 315, 12978, 18217, 7751, 543, 1915, 18304, 2580, 645, 3326, 269, 5742, 324, 4223, 269, 32228, 269, 1530, 345, 269, 645, 3203, 545, 269, 26548, 269, 4223, 269, 476, 277, 630, 273, 264, 630, 1220, 274, 1070, 6032, 269, 476, 2004, 280, 1700, 276, 1626, 269, 594, 1223, 1265, 835, 811, 1957, 593, 713, 1966, 3370, 538, 513, 8225, 4760, 281, 834, 763, 3892, 540, 9103, 2510, 257, 676, 667, 13034, 269, 2274, 327, 1067, 267, 2052, 611, 269, 808, 269, 4569, 269, 476, 278, 630, 4198, 276, 1070, 6032, 269, 476, 31003, 1700, 3374, 278, 780, 8894, 2005, 2907, 3947, 1454, 1732, 3808, 1287, 1269, 302, 7268, 12534, 12978, 10857, 4297, 8961, 12077, 267, 1269, 302, 7268, 339, 879, 10857, 4297, 10608, 1107, 1109, 293, 539, 528, 8891, 22201, 2904, 476, 1789, 1412, 1321, 693, 476, 1015, 281, 4375, 454, 11039, 267, 594, 917, 875, 621, 8544, 1117, 538, 269, 594, 1616, 547, 1294, 519, 1483, 960, 32473, 264, 1107, 1109, 330, 565, 1731, 2904, 476, 1789, 1412, 1321, 693, 476, 1556, 281, 866, 454, 14188, 596, 8206, 898, 568, 5863, 602, 596, 4312, 1336, 519, 4704, 32473, 264, 1107, 1109, 330, 565, 1731, 9947, 476, 273, 1412, 1321, 693, 476, 274, 281, 2641, 454, 296, 729, 3168, 585, 519, 1957, 676, 8943, 8619, 543, 715, 1515, 538, 519, 4569, 269, 28743, 1107, 1109, 330, 565, 1731, 9947, 476, 273, 1412, 1321, 693, 476, 274, 281, 2420, 692, 2026, 2854, 1657, 676, 1530, 9366, 267, 835, 568, 3366, 609, 12825, 18304, 540, 519, 1106, 6695, 8999, 3709, 323, 24689, 749, 348, 1422, 14153, 5560, 264, 552, 17353, 2765, 346, 273, 1775, 1422, 7032, 586, 2410, 323, 24995, 1141, 1269, 344, 815, 554, 343, 259, 568, 606, 8870, 2789, 540, 1269, 343, 10608, 1403, 835, 6499, 547, 2569, 519, 24735, 5470, 2165, 1269, 302, 263, 1422, 339, 879, 7268, 749, 4297, 259, 547, 1269, 302, 7268, 29166, 27432, 1422, 339, 879, 7268, 749, 4297, 8961, 835, 1590, 2015, 519, 2039, 1269, 327, 1422, 961, 1422, 2765, 2715, 272, 7346, 29166, 27432, 4151, 630, 520, 2547, 1040, 1809, 594, 8969, 602, 1945, 2731, 3730, 666, 581, 1767, 827, 713, 1880, 2040, 267, 1813, 547, 4527, 540, 519, 12980, 3815, 1269, 272, 3709, 323, 347, 1422, 749, 4151, 630, 2280, 4805, 519, 631, 7238, 321, 3780, 1599, 6393, 2252, 519, 2783, 1269, 323, 24689, 749, 259, 568, 12628, 630, 1492, 2040, 568, 936, 513, 2898, 8884, 1070, 1287, 519, 1655, 1634, 2164, 630, 1729, 1250, 1702, 264, 593, 713, 2186, 540, 18304, 616, 8659, 538, 713, 1957, 540, 962, 11607, 293, 2529, 269, 623, 2946, 614, 10458, 780, 9616, 849, 602, 521, 10079, 2409, 2285, 1875, 13700, 20190, 23451, 593, 519, 7274, 4399, 8999, 3709, 333, 1422, 19008, 1535, 267, 630, 333, 267, 1422, 749, 264, 815, 476, 272, 348, 476, 272, 259, 630, 23719, 22263, 2079, 6393, 268, 0, 2421, 27050, 918, 4669, 639, 630, 516, 14876, 476, 280, 4728, 476, 1001, 274, 2020, 288, 13392, 3830, 630, 1314, 273, 1341, 536, 343, 1341, 524, 815, 476, 271, 264, 666, 581, 12193, 585, 1535, 676, 1210, 519, 13392, 4542, 1384, 343, 815, 1496, 6629, 321, 13008, 20734, 263, 321, 273, 6567, 476, 275, 659, 13580, 270, 273, 320, 692, 763, 8174, 566, 540, 602, 4542, 729, 2944, 676, 930, 15931, 12879, 540, 519, 2609, 538, 519, 13392, 3830, 269, 634, 1655, 1259, 547, 1294, 1141, 519, 4542, 3357, 689, 568, 676, 2324, 23651, 547, 3715, 519, 13392, 3830, 269, 3973, 596, 666, 1294, 519, 3268, 547, 1491, 547, 17589, 519, 13392, 4542, 780, 26524, 596, 949, 723, 1331, 1384, 1892, 1548, 616, 519, 3268, 2324, 23651, 888, 1892, 1548, 616, 519, 3268, 547, 1205, 547, 519, 4542, 888, 1892, 1215, 798, 596, 6023, 519, 4009, 3597, 2496, 1607, 3992, 786, 2626, 1346, 2055, 780, 1012, 11554, 23651, 692, 343, 815, 1496, 6629, 321, 13008, 20734, 263, 321, 273, 6567, 476, 275, 659, 13580, 270, 273, 320, 692, 11372, 17586, 1312, 5011, 540, 519, 3160, 1129, 676, 476, 273, 320, 692, 273, 1314, 815, 6567, 321, 13008, 20734, 263, 321, 273, 6567, 476, 275, 659, 2020, 273, 1314, 1341, 536, 815, 13008, 20734, 263, 321, 273, 6567, 476, 275, 659, 2020, 306, 13645, 1312, 5011, 540, 519, 3160, 1129, 692, 263, 273, 1314, 1341, 536, 264, 273, 815, 536, 273, 6567, 476, 275, 659, 692, 275, 320, 273, 343, 273, 1341, 476, 275, 629, 343, 1341, 536, 273, 815, 536, 273, 6567, 476, 275, 659, 692, 8138, 339, 847, 536, 273, 689, 1312, 5011, 692, 275, 320, 273, 343, 273, 1341, 476, 275, 629, 343, 815, 6567, 476, 275, 659, 692, 11754, 6567, 476, 275, 659, 547, 1312, 5011, 692, 275, 320, 273, 343, 273, 1341, 476, 275, 629, 343, 1341, 476, 275, 659, 815, 476, 271, 692, 19667, 728, 676, 476, 275, 320, 692, 1314, 273, 1341, 536, 343, 1341, 524, 815, 476, 271, 692, 1012, 3399, 689, 3830, 692, 31535, 519, 3268, 267, 596, 666, 1376, 689, 519, 13392, 3830, 547, 1205, 519, 4542, 1384, 1314, 273, 1341, 536, 343, 1341, 524, 815, 476, 271, 692, 11372, 17586, 1312, 5011, 540, 519, 3160, 1129, 676, 476, 275, 320, 692, 275, 320, 273, 343, 273, 1341, 476, 275, 629, 343, 1341, 476, 275, 659, 815, 476, 271, 692, 275, 320, 273, 343, 273, 1341, 476, 275, 629, 343, 815, 6567, 476, 275, 659, 692, 275, 320, 273, 343, 273, 1341, 476, 275, 629, 343, 1341, 536, 273, 815, 536, 273, 6567, 476, 275, 659, 692, 15542, 528, 476, 275, 320, 273, 343, 273, 1341, 476, 275, 629, 343, 1341, 536, 273, 547, 1205, 630, 273, 1314, 1341, 536, 264, 273, 692, 263, 273, 1314, 1341, 536, 264, 273, 815, 536, 273, 6567, 476, 275, 659, 692, 1012, 14171, 519, 4009, 3597, 692, 2691, 596, 1205, 547, 630, 273, 1314, 1341, 536, 264, 273, 815, 536, 273, 6567, 476, 275, 659, 267, 596, 1616, 547, 1491, 519, 4009, 3597, 540, 1142, 2427, 540, 519, 3160, 1129, 780, 9616, 602, 1312, 630, 273, 1314, 1341, 536, 31618, 273, 1314, 1341, 536, 264, 543, 1496, 6629, 263, 273, 1314, 1341, 536, 13580, 265, 314, 6629, 263, 273, 1314, 1341, 536, 13580, 3160, 630, 273, 1314, 1341, 536, 264, 273, 780, 6546, 1797, 602, 519, 4009, 3597, 666, 581, 2901, 7132, 22791, 264, 610, 14263, 630, 6629, 1040, 4935, 1384, 343, 815, 1496, 6629, 321, 13008, 20734, 263, 321, 273, 6567, 476, 275, 659, 13580, 270, 273, 320, 692, 763, 8174, 566, 568, 2347, 780, 1012, 12834, 692, 2791, 666, 1294, 519, 3268, 547, 17589, 519, 13392, 4542, 454, 343, 815, 1496, 6629, 321, 13008, 20734, 263, 321, 273, 6567, 476, 275, 659, 13580, 270, 273, 320, 676, 1101, 2469, 23651, 547, 1205, 519, 13392, 3830, 630, 1314, 273, 1341, 536, 343, 1341, 524, 815, 476, 271, 1040, 3973, 596, 666, 9258, 519, 3268, 547, 979, 689, 519, 3830, 547, 519, 4542, 269, 1879, 596, 1491, 519, 4009, 3597, 267, 596, 991, 547, 8275, 602, 7132, 610, 14263, 2188, 666, 581, 1031, 780, 7883, 1900, 676, 1900, 692, 1012, 8249, 543, 8100, 692, 305, 517, 918, 4669, 639, 262, 28946, 1113, 338, 692, 2162, 15750, 2572, 692, 31580, 8249, 692, 2162, 7734, 692, 2710, 596, 723, 1022, 2055, 267, 8292, 267, 610, 8369, 593, 713, 1641, 286, 1403, 865, 267, 6494, 606, 4757, 609, 707, 5955, 269, 594, 786, 2119, 547, 1205, 1394, 547, 596, 607, 4166, 607, 2009, 780, 1012, 4841, 543, 3173, 692, 4178, 4732, 1041, 16519, 7302, 2086, 687, 2593, 270, 531, 5040, 270, 692, 1012, 7316, 616, 596, 1631, 2496, 18662, 585, 29073, 692, 31580, 3584, 692, 1012, 4746, 1294, 692, 2162, 2913, 781, 1118, 519, 1158, 513, 1732, 1747, 692, 6826, 519, 1655, 602, 596, 666, 581, 780, 8196, 707, 1702, 543, 1983, 547, 948, 1866, 8011, 780, 10673, 1405, 581, 3653, 995, 282, 2149, 938, 1604, 780, 2162, 14970, 2659, 5020, 607, 513, 19598, 542, 1384, 5353, 2131, 1702, 543, 2744, 1983, 692, 2710, 5140, 960, 692, 6826, 3407, 547, 1866, 692, 5970, 25932, 1915, 692, 2971, 2142, 513, 19598, 542, 2439, 763, 3427, 585, 29073, 2337, 596, 1831, 519, 1826, 540, 1268, 945, 666, 581, 1572, 513, 19598, 542, 269, 0, 20524, 513, 2603, 540, 1344, 593, 519, 1297, 476, 11260, 4905, 281, 3601, 267, 6310, 4238, 267, 875, 547, 2328, 621, 267, 13513, 267, 6746, 1108, 267, 11269, 543, 1082, 824, 4277, 1919, 2439, 1012, 19556, 3601, 540, 476, 11260, 4905, 692, 3674, 476, 11260, 4905, 513, 6305, 1297, 286, 3143, 454, 3674, 476, 11260, 4905, 513, 3501, 1297, 286, 3143, 454, 10831, 540, 16975, 476, 279 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4338, 303, 2894, 3633, 454, 312, 2464, 9898, 31165, 888, 9563, 9358, 10323, 32209, 22244, 17395, 8668, 670, 4338, 303, 2894, 3633, 454, 312, 2464, 9898, 31165, 888, 9563, 9358, 918, 301, 8582, 10323, 32209, 22244, 17395, 8668, 670, 4338, 303, 2894, 3633, 454, 312, 2464, 9898, 31165, 888, 9563, 9358, 918, 301, 8582, 1496, 16942, 1109, 31695, 316, 962, 2464, 9898, 31165, 888, 9563, 9358, 918, 301, 8582, 1496, 16942, 1109, 31695, 316, 962, 2464, 9898, 31165, 888, 9563, 9358, 918, 301, 8582, 1496, 16942, 1109, 31695, 2639, 15578, 962, 2464, 9898, 31165, 888, 9563, 9358, 918, 301, 8582, 1496, 16942, 1109, 31695, 2639, 15578, 21398, 2969, 962, 2464, 9898, 31165, 888, 9563, 9358, 918, 301, 8582, 1496, 16942, 1109, 31695, 2639, 15578, 21398, 2969, 20433, 303, 962, 2464, 9898, 31165, 888, 9563, 9358, 918, 301, 8582, 1496, 16942, 1109, 31695, 2639, 15578, 21398, 2969, 20433, 303, 670, 3008, 962, 2464, 9898, 31165, 888, 9563, 9358, 918, 301, 8582, 1496, 16942, 1109, 31695, 2639, 15578, 21398, 2969, 20433, 303, 670, 3008, 18688, 2894, 962, 2464, 9898, 31165, 888, 9563, 9358, 918, 301, 8582, 1496, 16942, 1109, 31695, 2639, 15578, 21398, 2969, 20433, 303, 670, 3008, 18688, 2894, 14160, 5308, 3633, 23645, 9358, 918, 301, 8582, 1496, 16942, 1109, 31695, 2639, 15578, 21398, 2969, 20433, 303, 670, 3008, 18688, 2894, 14160, 5308, 3633, 23645, 9358, 918, 301, 8582, 1496, 16942, 1109, 31695, 2639, 15578, 21398, 2969, 20433, 303, 670, 3008, 18688, 2894, 14160, 5308, 3633, 454, 289, 4488, 288, 27516, 23645, 9358, 918, 301, 8582, 1496, 16942, 1109, 31695, 2639, 15578, 21398, 2969, 20433, 303, 670, 3008, 18688, 2894, 14160, 5308, 3633, 454, 289, 4488, 288, 27516, 29375, 302, 23645, 9358, 918, 301, 8582, 1496, 16942, 1109, 31695, 2639, 15578, 21398, 2969, 20433, 303, 670, 3008, 18688, 2894, 14160, 5308, 3633, 454, 289, 4488, 288, 27516, 29375, 302, 962, 292, 12678, 23645, 9358, 918, 301, 8582, 1496, 16942, 1109, 31695, 2639, 15578, 21398, 2969, 20433, 303, 670, 3008, 18688, 2894, 14160, 5308, 3633, 454, 289, 4488, 288, 27516, 29375, 302, 962, 292, 12678, 19200, 9898, 23645, 9358, 918, 301, 8582, 1496, 16942, 1109, 31695, 2639, 15578, 21398, 2969, 20433, 303, 670, 3008, 18688, 2894, 14160, 5308, 3633, 454, 289, 4488, 288, 27516, 29375, 302, 962, 292, 12678, 19200, 9898, 20231, 23645, 9358, 918, 301, 8582, 1496, 16942, 1109, 31695, 2639, 15578, 21398, 2969, 20433, 303, 670, 3008, 18688, 2894, 14160, 5308, 3633, 454, 289, 4488, 288, 27516, 29375, 302, 962, 292, 12678, 19200, 9898, 20231, 24199, 5990, 21398, 2969, 20433, 303, 670, 3008, 18688, 2894, 14160, 5308, 3633, 454, 289, 4488, 288, 27516, 29375, 302, 962, 292, 12678, 19200, 9898, 20231, 24199, 5990, 21398, 2969, 20433, 303, 670, 3008, 18688, 2894, 14160, 5308, 3633, 454, 289, 4488, 288, 27516, 29375, 302, 962, 292, 12678, 19200, 9898, 20231, 24199, 454, 295, 4338, 303, 2894, 3633, 5990, 21398, 2969, 20433, 303, 670, 3008, 18688, 2894, 14160, 5308, 3633, 454, 289, 4488, 288, 27516, 29375, 302, 962, 292, 12678, 19200, 9898, 20231, 24199, 454, 295, 4338, 303, 2894, 3633, 10323, 309, 2894, 5990, 21398, 2969, 20433, 303, 670, 3008, 18688, 2894, 14160, 5308, 3633, 454, 289, 4488, 288, 27516, 29375, 302, 962, 292, 12678, 19200, 9898, 20231, 24199, 454, 295, 4338, 303, 2894, 3633, 10323, 309, 2894, 18027, 8008, 4041, 5990, 21398, 2969, 20433, 303, 670, 3008, 18688, 2894, 14160, 5308, 3633, 454, 289, 4488, 288, 27516, 29375, 302, 962, 292, 12678, 19200, 9898, 20231, 24199, 454, 295, 4338, 303, 2894, 3633, 10323, 309, 2894, 18027, 8008, 4041, 667, 4629, 310, 301, 3633, 645, 4488, 288, 27516, 29375, 302, 962, 292, 12678, 19200, 9898, 20231, 24199, 454, 295, 4338, 303, 2894, 3633, 10323, 309, 2894, 18027, 8008, 4041, 667, 4629, 310, 301, 3633, 645, 4488, 288, 27516, 29375, 302, 962, 292, 12678, 19200, 9898, 20231, 24199, 454, 295, 4338, 303, 2894, 3633, 10323, 309, 2894, 18027, 8008, 4041, 667, 4629, 310, 301, 3633, 454, 24535, 645, 4488, 288, 27516, 29375, 302, 962, 292, 12678, 19200, 9898, 20231, 24199, 454, 295, 4338, 303, 2894, 3633, 10323, 309, 2894, 18027, 8008, 4041, 667, 4629, 310, 301, 3633, 454, 24535, 715, 20846, 267, 645, 4488, 288, 27516, 29375, 302, 962, 292, 12678, 19200, 9898, 20231, 24199, 454, 295, 4338, 303, 2894, 3633, 10323, 309, 2894, 18027, 8008, 4041, 667, 4629, 310, 301, 3633, 454, 24535, 715, 20846, 267, 6730, 645, 4488, 288, 27516, 29375, 302, 962, 292, 12678, 19200, 9898, 20231, 24199, 454, 295, 4338, 303, 2894, 3633, 10323, 309, 2894, 18027, 8008, 4041, 667, 4629, 310, 301, 3633, 454, 24535, 715, 20846, 267, 6730, 5990, 312, 645, 4488, 288, 27516, 29375, 302, 962, 292, 12678, 19200, 9898, 20231, 24199, 454, 295, 4338, 303, 2894, 3633, 10323, 309, 2894, 18027, 8008, 4041, 667, 4629, 310, 301, 3633, 454, 24535, 715, 20846, 267, 6730, 5990, 312, 654, 7728, 645, 4488, 288, 27516, 29375, 302, 962, 292, 12678, 19200, 9898, 20231, 24199, 454, 295, 4338, 303, 2894, 3633, 10323, 309, 2894, 18027, 8008, 4041, 667, 4629, 310, 301, 3633, 454, 24535, 715, 20846, 267, 6730, 5990, 312, 654, 7728, 9215, 645, 4488, 288, 27516, 29375, 302, 962, 292, 12678, 19200, 9898, 20231, 24199, 454, 295, 4338, 303, 2894, 3633, 10323, 309, 2894, 18027, 8008, 4041, 667, 4629, 310, 301, 3633, 454, 24535, 715, 20846, 267, 6730, 5990, 312, 654, 7728, 9215, 8946, 2969, 670, 4338, 303, 2894, 3633, 10323, 309, 2894, 18027, 8008, 4041, 667, 4629, 310, 301, 3633, 454, 24535, 715, 20846, 267, 6730, 5990, 312, 654, 7728, 9215, 8946, 2969, 670, 4338, 303, 2894, 3633, 10323, 309, 2894, 18027, 8008, 4041, 667, 4629, 310, 301, 3633, 454, 24535, 715, 20846, 267, 6730, 5990, 312, 654, 7728, 9215, 8946, 2969, 454, 306, 28719, 670, 4338, 303, 2894, 3633, 10323, 309, 2894, 18027, 8008, 4041, 667, 4629, 310, 301, 3633, 454, 24535, 715, 20846, 267, 6730, 5990, 312, 654, 7728, 9215, 8946, 2969, 454, 306, 28719, 1496, 16942, 1109, 31695, 316, 670, 4338, 303, 2894, 3633, 10323, 309, 2894, 18027, 8008, 4041, 667, 4629, 310, 301, 3633, 454, 24535, 715, 20846, 267, 6730, 5990, 312, 654, 7728, 9215, 8946, 2969, 454, 306, 28719, 1496, 16942, 1109, 31695, 316, 20433, 303, 267, 670, 4338, 303, 2894, 3633, 10323, 309, 2894, 18027, 8008, 4041, 667, 4629, 310, 301, 3633, 454, 24535, 715, 20846, 267, 6730, 5990, 312, 654, 7728, 9215, 8946, 2969, 454, 306, 28719, 1496, 16942, 1109, 31695, 316, 20433, 303, 267, 6730, 670, 4338, 303, 2894, 3633, 10323, 309, 2894, 18027, 8008, 4041, 667, 4629, 310, 301, 3633, 454, 24535, 715, 20846, 267, 6730, 5990, 312, 654, 7728, 9215, 8946, 2969, 454, 306, 28719, 1496, 16942, 1109, 31695, 316, 20433, 303, 267, 6730, 5990, 312, 670, 4338, 303, 2894, 3633, 10323, 309, 2894, 18027, 8008, 4041, 667, 4629, 310, 301, 3633, 454, 24535, 715, 20846, 267, 6730, 5990, 312, 654, 7728, 9215, 8946, 2969, 454, 306, 28719, 1496, 16942, 1109, 31695, 316, 20433, 303, 267, 6730, 5990, 312, 631, 32767, 21450, 715, 20846, 267, 6730, 5990, 312, 654, 7728, 9215, 8946, 2969, 454, 306, 28719, 1496, 16942, 1109, 31695, 316, 20433, 303, 267, 6730, 5990, 312, 631, 32767, 21450, 715, 20846, 267, 6730, 5990, 312, 654, 7728, 9215, 8946, 2969, 454, 306, 28719, 1496, 16942, 1109, 31695, 316, 20433, 303, 267, 6730, 5990, 312, 631, 32767, 454, 15578, 21450, 715, 20846, 267, 6730, 5990, 312, 654, 7728, 9215, 8946, 2969, 454, 306, 28719, 1496, 16942, 1109, 31695, 316, 20433, 303, 267, 6730, 5990, 312, 631, 32767, 454, 15578, 667, 4488, 3041, 12778, 21450, 715, 20846, 267, 6730, 5990, 312, 654, 7728, 9215, 8946, 2969, 454, 306, 28719, 1496, 16942, 1109, 31695, 316, 20433, 303, 267, 6730, 5990, 312, 631, 32767, 454, 15578, 667, 4488, 3041, 12778, 700, 4953, 21450, 715, 20846, 267, 6730, 5990, 312, 654, 7728, 9215, 8946, 2969, 454, 306, 28719, 1496, 16942, 1109, 31695, 316, 20433, 303, 267, 6730, 5990, 312, 631, 32767, 454, 15578, 667, 4488, 3041, 12778, 700, 4953, 1496, 16942, 1109, 31695, 316, 21450, 715, 20846, 267, 6730, 5990, 312, 654, 7728, 9215, 8946, 2969, 454, 306, 28719, 1496, 16942, 1109, 31695, 316, 20433, 303, 267, 6730, 5990, 312, 631, 32767, 454, 15578, 667, 4488, 3041, 12778, 700, 4953, 1496, 16942, 1109, 31695, 316, 15562, 7473, 21450, 715, 20846, 267, 6730, 5990, 312, 654, 7728, 9215, 8946, 2969, 454, 306, 28719, 1496, 16942, 1109, 31695, 316, 20433, 303, 267, 6730, 5990, 312, 631, 32767, 454, 15578, 667, 4488, 3041, 12778, 700, 4953, 1496, 16942, 1109, 31695, 316, 15562, 7473, 8946, 590, 28719, 1496, 16942, 1109, 31695, 316, 20433, 303, 267, 6730, 5990, 312, 631, 32767, 454, 15578, 667, 4488, 3041, 12778, 700, 4953, 1496, 16942, 1109, 31695, 316, 15562, 7473, 8946, 590, 28719, 1496, 16942, 1109, 31695, 316, 20433, 303, 267, 6730, 5990, 312, 631, 32767, 454, 15578, 667, 4488, 3041, 12778, 700, 4953, 1496, 16942, 1109, 31695, 316, 15562, 7473, 8946, 454, 305, 21283, 590, 28719, 1496, 16942, 1109, 31695, 316, 20433, 303, 267, 6730, 5990, 312, 631, 32767, 454, 15578, 667, 4488, 3041, 12778, 700, 4953, 1496, 16942, 1109, 31695, 316, 15562, 7473, 8946, 454, 305, 21283, 667, 32052, 267, 590, 28719, 1496, 16942, 1109, 31695, 316, 20433, 303, 267, 6730, 5990, 312, 631, 32767, 454, 15578, 667, 4488, 3041, 12778, 700, 4953, 1496, 16942, 1109, 31695, 316, 15562, 7473, 8946, 454, 305, 21283, 667, 32052, 267, 6730, 590, 28719, 1496, 16942, 1109, 31695, 316, 20433, 303, 267, 6730, 5990, 312, 631, 32767, 454, 15578, 667, 4488, 3041, 12778, 700, 4953, 1496, 16942, 1109, 31695, 316, 15562, 7473, 8946, 454, 305, 21283, 667, 32052, 267, 6730, 631, 10976, 292, 590, 28719, 1496, 16942, 1109, 31695, 316, 20433, 303, 267, 6730, 5990, 312, 631, 32767, 454, 15578, 667, 4488, 3041, 12778, 700, 4953, 1496, 16942, 1109, 31695, 316, 15562, 7473, 8946, 454, 305, 21283, 667, 32052, 267, 6730, 631, 10976, 292, 5990, 590, 28719, 1496, 16942, 1109, 31695, 316, 20433, 303, 267, 6730, 5990, 312, 631, 32767, 454, 15578, 667, 4488, 3041, 12778, 700, 4953, 1496, 16942, 1109, 31695, 316, 15562, 7473, 8946, 454, 305, 21283, 667, 32052, 267, 6730, 631, 10976, 292, 5990, 631, 4932, 3036, 24361, 5990, 667, 4488, 3041, 12778, 700, 4953, 1496, 16942, 1109, 31695, 316, 15562, 7473, 8946, 454, 305, 21283, 667, 32052, 267, 6730, 631, 10976, 292, 5990, 631, 4932, 3036, 24361, 5990, 667, 4488, 3041, 12778, 700, 4953, 1496, 16942, 1109, 31695, 316, 15562, 7473, 8946, 454, 305, 21283, 667, 32052, 267, 6730, 631, 10976, 292, 5990, 631, 4932, 3036, 24361, 454, 19489, 5990, 667, 4488, 3041, 12778, 700, 4953, 1496, 16942, 1109, 31695, 316, 15562, 7473, 8946, 454, 305, 21283, 667, 32052, 267, 6730, 631, 10976, 292, 5990, 631, 4932, 3036, 24361, 454, 19489, 5990, 5990, 667, 4488, 3041, 12778, 700, 4953, 1496, 16942, 1109, 31695, 316, 15562, 7473, 8946, 454, 305, 21283, 667, 32052, 267, 6730, 631, 10976, 292, 5990, 631, 4932, 3036, 24361, 454, 19489, 5990, 8863, 6579, 11403, 2894, 5990, 667, 4488, 3041, 12778, 700, 4953, 1496, 16942, 1109, 31695, 316, 15562, 7473, 8946, 454, 305, 21283, 667, 32052, 267, 6730, 631, 10976, 292, 5990, 631, 4932, 3036, 24361, 454, 19489, 5990, 8863, 6579, 11403, 2894, 28313, 267, 5990, 667, 4488, 3041, 12778, 700, 4953, 1496, 16942, 1109, 31695, 316, 15562, 7473, 8946, 454, 305, 21283, 667, 32052, 267, 6730, 631, 10976, 292, 5990, 631, 4932, 3036, 24361, 454, 19489, 5990, 8863, 6579, 11403, 2894, 28313, 267, 6730, 5990, 667, 4488, 3041, 12778, 700, 4953, 1496, 16942, 1109, 31695, 316, 15562, 7473, 8946, 454, 305, 21283, 667, 32052, 267, 6730, 631, 10976, 292, 5990, 631, 4932, 3036, 24361, 454, 19489, 5990, 8863, 6579, 11403, 2894, 28313, 267, 6730, 10790, 17395, 20433, 303, 667, 32052, 267, 6730, 631, 10976, 292, 5990, 631, 4932, 3036, 24361, 454, 19489, 5990, 8863, 6579, 11403, 2894, 28313, 267, 6730, 10790, 17395, 20433, 303, 667, 32052, 267, 6730, 631, 10976, 292, 5990, 631, 4932, 3036, 24361, 454, 19489, 5990, 8863, 6579, 11403, 2894, 28313, 267, 6730, 10790, 17395, 454, 3951, 20433, 303, 667, 32052, 267, 6730, 631, 10976, 292, 5990, 631, 4932, 3036, 24361, 454, 19489, 5990, 8863, 6579, 11403, 2894, 28313, 267, 6730, 10790, 17395, 454, 3951, 14408, 29052, 20433, 303, 667, 32052, 267, 6730, 631, 10976, 292, 5990, 631, 4932, 3036, 24361, 454, 19489, 5990, 8863, 6579, 11403, 2894, 28313, 267, 6730, 10790, 17395, 454, 3951, 14408, 29052, 11123, 20433, 303, 667 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2252, 596, 616, 3168, 585, 1018, 4484, 568, 538, 519, 1647, 540, 519, 9904, 454, 286, 3973, 267, 713, 568, 519, 1747, 1141, 596, 666, 1265, 930, 2959, 602, 1683, 2143, 1344, 563, 6343, 4484, 568, 538, 519, 1647, 540, 519, 9904, 454, 4131, 614, 630, 531, 8224, 264, 910, 9504, 454, 288, 4484, 568, 513, 10126, 531, 3090, 540, 513, 13093, 2438, 1603, 1062, 7868, 11891, 540, 782, 5022, 3029, 606, 9904, 269, 4131, 1562, 17618, 5330, 547, 13093, 655, 525, 538, 519, 9275, 1106, 540, 519, 1893, 267, 4352, 972, 568, 10355, 513, 5812, 543, 3169, 19359, 1063, 5022, 543, 13093, 655, 525, 907, 634, 2262, 4484, 267, 22666, 689, 6196, 3943, 1577, 516, 267, 9411, 5664, 2296, 1472, 476, 6344, 271, 5084, 267, 5555, 6693, 295, 836, 592, 910, 9504, 454, 763, 11114, 9904, 267, 1634, 607, 670, 836, 592, 630, 12626, 281, 1315, 476, 16659, 554, 476, 389, 495, 27474, 562, 476, 389, 350, 579, 27474, 561, 1315, 22743, 295, 301, 3766, 944, 264, 538, 3162, 9705, 543, 932, 657, 385, 493, 333, 262, 326, 385, 511, 331, 538, 3345, 9705, 267, 568, 519, 2413, 4013, 1603, 1062, 585, 519, 11114, 1893, 269, 634, 5022, 585, 519, 2947, 2596, 19283, 1218, 2992, 519, 3337, 540, 519, 4633, 8219, 1031, 547, 24969, 873, 267, 543, 789, 616, 18928, 9168, 547, 5815, 13093, 2045, 2934, 282, 13974, 267, 519, 20262, 6693, 12626, 22843, 910, 9504, 454, 763, 9904, 585, 7073, 2296, 568, 513, 5824, 1606, 5296, 9904, 9967, 540, 476, 2918, 5022, 267, 1142, 2348, 606, 5580, 268, 543, 2539, 30924, 1106, 269, 634, 2262, 9904, 568, 513, 7623, 540, 519, 1101, 1079, 5022, 540, 519, 5259, 9904, 267, 13672, 543, 12498, 7868, 9904, 12090, 1472, 519, 476, 278, 628, 2540, 9460, 547, 2328, 6196, 2296, 689, 5824, 7097, 2529, 1550, 1287, 267, 5022, 723, 1044, 3773, 610, 6569, 547, 2285, 519, 1699, 6693, 4131, 614, 623, 11242, 1299, 8342, 14313, 1280, 8866, 910, 4132, 29222, 454, 4131, 614, 623, 10632, 543, 11242, 269, 5620, 513, 533, 1690, 4821, 5428, 256, 15526, 5957, 533, 1690, 24252, 267, 16435, 26802, 267, 13681, 525, 267, 31756, 269, 5620, 513, 9788, 25746, 1554, 269, 3367, 6266, 540, 2984, 267, 2482, 1472, 593, 12008, 11435, 543, 5458, 2571, 10788, 3298, 269, 16202, 4484, 623, 16152, 281, 1402, 25468, 267, 5910, 345, 1564, 267, 30637, 267, 1402, 338, 2873, 267, 929, 17480, 267, 3092, 269, 18963, 5620, 5753, 7747, 1585, 2010, 540, 3270, 267, 1312, 3308, 543, 3280, 269, 27124, 7219, 454, 763, 476, 278, 14594, 22843, 281, 1215, 1677, 8745, 8535, 11872, 454, 30860, 875, 519, 5022, 3136, 9904, 1227, 1256, 1310, 789, 4076, 2451, 519, 5234, 5196, 519, 24432, 3515, 269, 1284, 2461, 1631, 2469, 547, 4983, 4967, 593, 519, 5234, 609, 4967, 593, 513, 14440, 13691, 269, 3776, 4358, 1448, 568, 2469, 547, 581, 968, 332, 1497, 595, 1848, 29557, 595, 593, 519, 5234, 568, 519, 1101, 24432, 1899, 2630, 621, 269, 1284, 1289, 621, 968, 332, 1497, 595, 892, 1317, 621, 4564, 519, 1647, 540, 519, 14440, 13691, 563, 12552, 547, 938, 11739, 342, 540, 9904, 3211, 267, 1007, 6267, 666, 2263, 741, 13235, 338, 538, 513, 3099, 540, 12043, 693, 513, 3099, 540, 2157, 269, 30488, 666, 1376, 609, 7801, 543, 12297, 3562, 1673, 582, 9904, 3211, 1354, 4271, 908, 547, 4484, 16439, 267, 7114, 7508, 5022, 267, 1620, 24008, 267, 543, 5555, 267, 1603, 741, 1101, 1913, 563, 299, 687, 910, 32282, 8866, 454, 1432, 568, 707, 23407, 3009, 286, 32282, 918, 10680, 3096, 707, 23407, 3009, 547, 1265, 938, 10473, 538, 707, 1858, 563, 28557, 14594, 19725, 1923, 22843, 29986, 6096, 454, 1607, 568, 3226, 3730, 950, 3450, 476, 274, 268, 276, 4458, 29419, 875, 547, 2328, 519, 9904, 269, 2791, 666, 849, 1832, 713, 4199, 593, 1688, 607, 513, 2953, 4484, 5250, 5750, 269, 901, 568, 513, 1390, 4704, 543, 666, 1683, 513, 2656, 12576, 540, 519, 4484, 5250, 540, 2539, 2013, 5022, 563, 10908, 698, 7035, 545, 14644, 910, 9504, 454, 763, 3794, 698, 7035, 545, 7097, 630, 270, 476, 391, 490, 476, 389, 350, 561, 3331, 355, 476, 389, 350, 476, 16745, 476, 16659, 561, 476, 22688, 512, 476, 22688, 737, 1315, 267, 2340, 364, 367, 414, 364, 378, 414, 364, 364, 414, 364, 367, 414, 365, 479, 414, 364, 378, 414, 364, 373, 414, 365, 490, 414, 364, 364, 267, 1350, 698, 565, 1080, 320, 264, 568, 519, 9510, 1634, 23577, 545, 9904, 20193, 568, 3622, 8815, 547, 723, 1044, 2813, 538, 519, 476, 280, 628, 2540, 676, 12142, 7261, 22567, 267, 513, 31494, 689, 634, 1087, 531, 517, 3821, 269, 3891, 543, 1010, 7015, 12142, 6396, 3780, 941, 2366, 676, 519, 20850, 14890, 7812, 8633, 538, 476, 279, 8287, 547, 4279, 5651, 822, 807, 547, 3262, 8567, 1851, 519, 4639, 23577, 338, 538, 4429, 28049, 22843, 25460, 10586, 1923, 5053, 291, 1112, 454, 2414, 1118, 519, 4583, 959, 2683, 678, 337, 630, 6518, 568, 1100, 3476, 2808, 513, 834, 12072, 257, 538, 519, 5053, 9904, 1070, 519, 1883, 568, 2259, 269, 6657, 9133, 281, 17166, 519, 2262, 7423, 630, 5976, 1977, 12332, 264, 543, 1589, 540, 519, 3280, 596, 1118, 538, 519, 1647, 630, 1777, 1040, 1103, 1977, 2296, 267, 713, 3280, 568, 513, 7148, 269, 634, 5053, 678, 337, 568, 9247, 1082, 512, 2355, 538, 513, 4737, 267, 543, 596, 666, 2259, 621, 676, 6031, 519, 512, 339, 3280, 538, 7423, 936, 6693, 296, 4126, 519, 1657, 2959, 948, 596, 609, 519, 1344, 1644, 547, 1018, 4484, 568, 538, 519, 1647, 540, 519, 9904, 454, 269, 1403, 711, 267, 3914, 998, 519, 6085, 3296, 269, 0, 298, 320, 17839, 30232, 9215, 9128, 299, 594, 10972, 1682, 13658, 3883, 568, 606, 16832, 1353, 1907, 585, 9215, 9128, 299, 1449, 512, 5474, 543, 1866, 1565, 2296, 269, 594, 10972, 1682, 666, 581, 2352, 547, 1451, 538, 1022, 1893, 267, 855, 789, 616, 2523, 4101, 538, 2296, 563, 298, 320, 17839, 9215, 9128, 299, 594, 10972, 1682, 13658, 3883, 3091, 606, 2500, 1935, 547, 13215, 519, 9215, 9128, 299, 799, 2882, 912, 12573, 18986, 1682, 547, 948, 596, 1780, 519, 9215, 9128, 299, 13651, 981, 26479, 726, 340, 3732, 5220, 538, 2796, 22548, 2305, 540, 2523, 2352, 7329, 687, 1230, 1597, 1304, 267, 15409, 3898, 547, 1491, 609, 596, 9170, 454, 384, 494, 12782, 495, 328, 642, 12782, 505, 328, 737, 327, 5451, 577, 554, 14504, 978, 476, 12782, 509, 22870, 12782, 485, 339, 21601, 281, 9149, 17845, 333, 554, 12782, 485, 959, 12782, 365, 322, 27764, 17554, 379, 335, 642, 12782, 505, 328, 1520, 2381, 17487, 495, 12782, 481, 555, 12782, 365, 322, 28624, 12782, 485, 333, 544, 7699, 554, 14504, 978, 536, 17554, 365, 978, 524, 5451, 577, 669, 8500, 12782, 481, 333, 737, 14833, 17554, 352, 333, 23356, 5889, 333, 554, 14504, 978, 562, 12782, 503, 328, 17487, 495, 12782, 489, 320, 269, 0, 296, 1589, 596, 2461, 5432, 609, 16674, 2839, 2029, 676, 1631, 855, 538, 2013, 519, 1728, 701, 4769, 1406, 1205, 547, 596, 267, 16674, 2839, 568, 606, 28008, 585, 15571, 22039, 9517, 550, 2305, 269, 898, 1568, 998, 5925, 6329, 543, 13590, 4610, 547, 7001, 543, 10141, 1239, 6740, 593, 16674, 2839, 16776, 269, 1548, 779, 8903, 827, 16674, 2839, 16776, 568, 602, 789, 666, 581, 1224, 689, 513, 3845, 540, 476, 1015, 7397, 2476, 543, 547, 1283, 602, 267, 519, 5467, 3085, 1406, 2154, 513, 1463, 1899, 540, 8289, 538, 1931, 547, 1224, 519, 16776, 563, 27184, 2839, 16776, 2097, 538, 1114, 5686, 267, 3029, 543, 7306, 269, 1703, 616, 519, 3742, 16674, 2839, 16776, 799, 723, 741, 1378, 1379, 2707, 7175, 519, 6771, 540, 1239, 689, 519, 16674, 2839, 16776, 267, 6466, 12809, 16674, 2839, 16776, 1599, 998, 519, 1648, 12842, 676, 519, 5467, 602, 32307, 6786, 563, 272, 7868, 16674, 2839, 729, 11827, 676, 16452, 14351, 2006, 630, 15367, 568, 1767, 547, 581, 513, 865, 341, 2884, 22342, 264, 538, 519, 476, 3707, 271, 779, 585, 17611, 32025, 5301, 1394, 538, 519, 2622, 2782, 476, 273, 538, 606, 3801, 547, 3713, 7874, 610, 10546, 779, 8484, 338, 269, 898, 814, 6591, 8560, 538, 519, 476, 3192, 271, 779, 563, 268, 634, 28912, 814, 1044, 1210, 16674, 2839, 547, 1832, 3950, 540, 811, 982, 476, 273, 2929, 3504, 22251, 543, 2835, 1519, 519, 9510, 6426, 538, 519, 28912, 7732, 2094, 811, 982, 513, 8717, 3516, 563, 268, 9546, 27926, 3323, 11090, 3101, 741, 2472, 609, 16674, 2839, 16776, 607, 2038, 607, 476, 1220, 274, 547, 2061, 6300, 331, 14823, 543, 14458, 6006, 543, 11891, 2359, 1547, 4653, 267, 12844, 6874, 517, 267, 9546, 27926, 267, 27010, 267, 590, 8986, 267, 590, 6545, 476, 276, 628, 22971, 267, 20918, 560, 668, 267, 631, 2329, 779, 267, 667, 650, 731, 779, 267, 23747, 779, 7345, 267, 543, 1256, 8835, 946, 519, 16776, 538, 741, 2472, 563, 275, 269, 16674, 2839, 729, 1031, 693, 2621, 2094, 476, 1220, 275, 16638, 476, 1220, 275, 267, 590, 311, 14684, 729, 519, 1101, 547, 9772, 16674, 2839, 21015, 27512, 547, 4383, 519, 5304, 543, 2569, 4831, 10623, 527, 269, 3973, 2968, 13416, 547, 946, 21015, 27512, 538, 15976, 269, 8921, 942, 596, 1544, 547, 979, 547, 18557, 16447, 267, 596, 786, 581, 1210, 971, 21015, 27512, 547, 1930, 707, 15678, 4055, 267, 2628, 585, 1426, 267, 543, 4309, 5961, 540, 596, 887, 5446, 1472, 18557, 16447, 563, 268, 769, 476, 1220, 278, 267, 31780, 779, 538, 9705, 2968, 519, 1101, 13962, 547, 2709, 606, 16674, 2839, 13087, 8569, 1062, 966, 8656, 16212, 11436, 563, 268, 634, 10545, 16674, 2839, 11090, 568, 14475, 676, 12231, 25764, 543, 666, 581, 7923, 547, 513, 13520, 269, 898, 568, 476, 271, 269, 272, 6279, 4009, 269, 4595, 10987, 3542, 3729, 1034, 540, 938, 1426, 267, 3744, 4941, 547, 3950, 10987, 547, 917, 799, 2371, 789, 7048, 593, 1034, 585, 6668, 269, 6270, 16776, 948, 3744, 1451, 811, 827, 3662, 779, 6208, 543, 5054, 269, 4653, 267, 513, 1360, 1507, 1106, 540, 519, 16674, 2839, 3926, 568, 22280, 883, 2831, 547, 3950, 873, 1058, 789, 2479, 2196, 2476, 610, 1205, 21687, 269, 898, 2337, 538, 22653, 1746, 4620, 5411, 609, 741, 4503, 10130, 543, 4688, 2729, 563, 268, 769, 930, 2127, 540, 519, 5177, 267, 930, 10034, 723, 7550, 16674, 2839, 547, 3950, 519, 2179, 540, 3653, 1142, 7622, 25001, 856, 1142, 3018, 269, 634, 16776, 616, 538, 519, 20203, 267, 543, 616, 1572, 968, 16535, 12961, 9731, 268, 634, 15111, 814, 9516, 519, 946, 540, 16674, 2839, 547, 3950, 1973, 563, 280, 269, 16674, 2839, 568, 1031, 538, 16669, 2872, 1141, 1142, 851, 568, 28562, 609, 606, 16674, 2839, 11090, 547, 1202, 675, 513, 5347, 10198, 1184, 267, 2087, 5464, 2298, 543, 22059, 563, 268, 589, 2754, 1572, 25326, 337, 1143, 691, 814, 2813, 17580, 16674, 2839, 16776, 269, 634, 2856, 568, 547, 1577, 1004, 1294, 3169, 9422, 2338, 540, 1018, 789, 3548, 269, 6183, 958, 8380, 1239, 883, 519, 1426, 596, 3548, 563, 1556, 269, 16674, 2839, 568, 32415, 2230, 607, 1134, 269, 8331, 568, 4867, 2324, 593, 606, 16674, 2839, 1982, 547, 1118, 2386, 602, 3388, 20691, 991, 538, 2230, 568, 609, 873, 563, 268, 681, 4575, 593, 519, 1016, 3118, 538, 1715, 3840, 4975, 786, 581, 882, 5050, 593, 16674, 2839, 2029, 269, 634, 1715, 3840, 631, 14011, 630, 18404, 15844, 3690, 527, 16958, 1070, 4566, 547, 5123, 856, 741, 1699, 631, 14011, 6486, 602, 596, 1590, 2220, 6559, 693, 2490, 560, 3796, 538, 519, 4947, 1296, 267, 543, 5372, 873, 609, 16674, 2839, 13087, 6486, 269, 4256, 15810, 3804, 547, 1376, 1210, 5100, 11568, 538, 476, 1001, 280, 563, 268, 2311, 519, 30912, 3150, 1488, 7467, 2073, 16674, 2839, 2029, 568, 1031, 547, 3986, 519, 1995, 540, 9754, 979, 619, 563, 1691, 269, 16674, 2839, 568, 1373, 1031, 607, 606, 20343, 18785, 269, 12140, 538, 543, 1472, 595, 32385, 10620, 723, 7550, 16674, 2839, 547, 1118, 2386, 3214, 616, 3478, 547, 543, 689, 1153, 269, 8866, 723, 547, 2638, 538, 543, 856, 547, 11578, 741, 20343, 563, 268, 4634, 519, 2475, 8136, 3096, 16674, 2839, 269, 3245, 9477, 1612, 778, 2373, 547, 17516, 6753, 267, 3013, 779, 2909, 4034, 7048, 593, 16674, 2839, 547, 1832, 3388, 6896, 563, 268, 1703, 568, 606, 16674, 2839, 13863, 538, 707, 1780, 1636, 269, 10738, 519, 3817, 540, 707, 1780, 1636 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1103, 8686, 527, 549, 5868, 4016, 547, 2472, 543, 2533, 602, 3489, 4791, 10368, 1344, 676, 4152, 1480, 5439, 630, 29188, 267, 1560, 12862, 267, 8031, 267, 3092, 4700, 3544, 519, 1480, 1560, 547, 3313, 3676, 610, 1560, 3252, 563, 3080, 540, 519, 1883, 3268, 538, 519, 7020, 540, 1480, 5439, 568, 519, 22729, 540, 31332, 7408, 630, 19091, 543, 10717, 264, 538, 519, 3732, 269, 634, 1505, 540, 31332, 3679, 22729, 568, 606, 1271, 3815, 7133, 519, 2298, 540, 519, 13939, 31332, 3679, 267, 543, 1152, 1164, 7779, 31332, 3679, 666, 2743, 1585, 19654, 3156, 563, 301, 16197, 545, 3679, 568, 519, 4493, 540, 7636, 7350, 267, 543, 31332, 3679, 10868, 568, 513, 12939, 585, 31332, 3679, 7020, 267, 543, 1256, 519, 3003, 7636, 2872, 3112, 21271, 519, 12939, 269, 769, 1082, 2665, 267, 519, 2298, 540, 31332, 3679, 10868, 689, 513, 3732, 2047, 11887, 519, 14496, 540, 519, 1449, 2164, 563, 21995, 1702, 540, 31332, 3679, 454, 301, 16197, 545, 3679, 568, 5258, 883, 632, 20293, 1026, 31265, 545, 3679, 630, 19091, 264, 543, 10775, 31265, 545, 3679, 630, 11748, 1070, 1851, 799, 10717, 666, 581, 5258, 883, 10775, 23865, 10717, 630, 337, 10717, 1070, 28034, 10717, 630, 332, 10717, 264, 543, 4483, 10717, 630, 339, 10717, 264, 2687, 547, 1114, 3252, 563, 19091, 568, 5631, 13671, 538, 519, 13540, 267, 26503, 543, 8392, 6955, 6814, 267, 1247, 10717, 568, 5631, 7856, 538, 519, 32594, 563, 3963, 568, 31332, 3679, 10868, 2877, 454, 301, 16197, 545, 3679, 10868, 2488, 4267, 547, 513, 1804, 1297, 540, 3573, 1382, 543, 3156, 267, 543, 519, 5833, 31332, 3679, 666, 581, 1031, 538, 513, 3099, 540, 2081, 269, 634, 3169, 1382, 3483, 11887, 519, 1826, 540, 31332, 3679, 547, 581, 13939, 282, 519, 3498, 540, 31332, 3679, 1419, 5540, 519, 3903, 540, 10868, 1505, 269, 769, 1931, 547, 3313, 519, 1655, 1382, 1505, 267, 621, 568, 2556, 547, 723, 513, 2312, 1620, 540, 519, 19654, 3156, 540, 31332, 7408, 543, 1022, 1761, 7687, 1644, 547, 519, 1826, 540, 3732, 269, 4014, 519, 1505, 540, 1591, 561, 1736, 568, 1114, 4470, 593, 519, 3732, 1826, 267, 519, 4295, 6240, 540, 519, 2949, 31332, 3679, 10868, 3788, 519, 1482, 281, 1591, 610, 5160, 5439, 616, 30897, 539, 547, 4894, 1875, 5991, 16197, 545, 3679, 17694, 563, 7468, 514, 3321, 543, 4170, 540, 31332, 3679, 10868, 543, 22729, 454, 272, 269, 3550, 519, 8699, 540, 519, 3119, 2497, 540, 31332, 3679, 3248, 273, 269, 26332, 3729, 5533, 689, 824, 6675, 630, 7945, 607, 14874, 10717, 13779, 950, 25935, 5027, 11850, 274, 269, 1703, 616, 1100, 5214, 30177, 543, 23494, 1164, 9830, 540, 4496, 12274, 602, 666, 21391, 11476, 538, 31332, 3679, 5439, 3248, 275, 269, 634, 5533, 540, 824, 6211, 5672, 668, 26163, 971, 607, 5946, 267, 30713, 30828, 543, 20188, 6675, 1058, 581, 31965, 3248, 276, 269, 26332, 3729, 519, 12526, 540, 824, 31332, 3679, 6675, 267, 971, 607, 9427, 10717, 950, 25935, 5027, 6675, 267, 543, 13030, 17930, 563, 13349, 31332, 3679, 10868, 543, 22729, 2409, 454, 272, 269, 26263, 565, 543, 8392, 334, 845, 10868, 1505, 454, 303, 1156, 565, 543, 8392, 334, 845, 616, 1031, 547, 1349, 5027, 676, 1210, 4307, 565, 607, 513, 3940, 3954, 4405, 656, 269, 15901, 730, 10868, 786, 3954, 1155, 519, 3940, 269, 590, 9169, 630, 338, 18754, 546, 1712, 1097, 331, 9829, 517, 622, 264, 786, 11430, 572, 519, 1591, 9245, 543, 7558, 519, 3940, 610, 1135, 4286, 32644, 610, 1507, 26733, 538, 519, 4527, 540, 3940, 848, 918, 543, 11581, 14011, 269, 631, 26163, 267, 3954, 1155, 543, 31358, 519, 6046, 3940, 267, 1863, 532, 5027, 689, 519, 6046, 3940, 269, 2755, 5027, 568, 3362, 19729, 538, 1216, 267, 855, 1202, 20107, 538, 5214, 30177, 269, 634, 2627, 540, 3940, 6675, 814, 28920, 32281, 2516, 267, 799, 616, 849, 2653, 585, 20697, 267, 543, 513, 20697, 4494, 568, 4646, 593, 519, 2627, 267, 865, 602, 519, 3940, 6675, 666, 12347, 4283, 519, 25694, 3070, 547, 1106, 513, 7123, 2458, 18042, 3070, 563, 2691, 519, 5214, 3070, 6818, 267, 519, 2458, 18042, 6617, 540, 519, 3940, 568, 10032, 267, 3954, 25733, 543, 10511, 18469, 269, 2991, 25916, 566, 267, 519, 5214, 19857, 568, 538, 519, 5377, 540, 519, 1449, 8546, 630, 16955, 5123, 1070, 519, 5027, 568, 538, 519, 5580, 25694, 5123, 267, 543, 519, 3940, 568, 10511, 18469, 1063, 519, 1079, 11775, 269, 4635, 519, 10868, 6240, 267, 2687, 547, 519, 3940, 31332, 3679, 15702, 538, 1114, 556, 26047, 6106, 267, 519, 10398, 8291, 9133, 568, 6905, 883, 519, 1114, 5277, 6106, 547, 1349, 519, 2838, 3334, 267, 543, 29881, 31332, 3679, 568, 5833, 1310, 2789, 11547, 902, 563, 763, 19319, 568, 602, 1813, 547, 519, 946, 540, 4307, 565, 267, 8392, 334, 845, 543, 824, 556, 698, 757, 267, 519, 17219, 568, 5266, 1164, 267, 1279, 3856, 5106, 814, 513, 3152, 1764, 593, 10986, 1072, 267, 543, 519, 6051, 2557, 540, 31332, 3679, 568, 1970, 267, 543, 519, 2530, 568, 1804, 269, 9603, 547, 519, 1804, 5665, 1062, 267, 519, 5106, 10956, 1464, 540, 1114, 4603, 619, 568, 4057, 269, 2073, 898, 568, 711, 20009, 547, 7863, 10717, 267, 543, 621, 568, 2352, 547, 4163, 856, 9910, 4405, 1436, 4238, 563, 763, 5413, 568, 602, 621, 3096, 1455, 556, 698, 757, 543, 11955, 538, 20682, 267, 543, 519, 1942, 568, 5266, 1970, 563, 273, 269, 1975, 514, 6241, 22729, 454, 1607, 1505, 18252, 519, 2627, 540, 31332, 3679, 547, 581, 4988, 609, 513, 6094, 4670, 7768, 540, 1216, 6675, 269, 769, 513, 1164, 1606, 5306, 1604, 267, 713, 28920, 32281, 9245, 786, 581, 10032, 865, 602, 31332, 3679, 666, 581, 23455, 5523, 593, 519, 8095, 6241, 267, 1247, 824, 23606, 971, 607, 3940, 543, 10307, 15733, 3092, 269, 786, 581, 9674, 689, 31332, 3679, 676, 25916, 531, 13247, 563, 3719, 1256, 865, 267, 519, 8095, 6241, 22729, 1505, 1869, 814, 28919, 912, 263, 272, 264, 4400, 569, 8200, 593, 519, 11006, 4390, 540, 519, 23455, 1632, 9245, 3248, 263, 273, 264, 769, 14814, 1714, 1081, 5012, 547, 519, 2530, 540, 31332, 3679, 3248, 263, 274, 264, 715, 16197, 545, 3679, 3112, 581, 13939, 538, 1804, 9424, 563, 274, 269, 25080, 29950, 1505, 585, 31332, 3679, 9668, 2029, 454, 763, 9797, 9901, 6419, 19273, 616, 2653, 547, 23455, 321, 11874, 9901, 31332, 7408, 543, 616, 5631, 1031, 547, 1349, 5027, 543, 10717, 689, 1480, 16796, 610, 11919, 5439, 269, 13575, 6340, 267, 519, 3732, 568, 6404, 609, 519, 11006, 17280, 543, 6419, 19273, 269, 2991, 519, 31332, 3679, 568, 5916, 609, 519, 6419, 19273, 267, 621, 568, 18233, 543, 9676, 676, 519, 6419, 2361, 1896, 2053, 269, 634, 1714, 3176, 31332, 3679, 666, 581, 9571, 676, 19738, 610, 824, 1808, 2409, 547, 3713, 1808, 5027, 610, 10717, 269, 4586, 300, 8568, 9668, 568, 849, 4922, 1031, 538, 519, 10368, 2872, 267, 543, 666, 3035, 1164, 28443, 1584, 543, 12747, 31332, 3679, 10868, 2409, 563, 17843, 2010, 540, 4719, 4152, 786, 4125, 31332, 3679, 10868, 543, 22729, 3268, 269, 7324, 519, 2409, 540, 31332, 3679, 10868, 543, 22729, 267, 1312, 519, 5277, 1505, 543, 519, 8095, 6241, 1505, 4125, 519, 946, 540, 6757, 5214, 6878, 267, 799, 616, 5739, 547, 519, 1604, 543, 4603, 12427, 563, 763, 6419, 29950, 1505, 3340, 7222, 16887, 19775, 6419, 29950, 17280, 543, 16887, 9168, 6419, 19273, 269, 3245, 519, 1942, 543, 5106, 3344, 267, 1312, 723, 1164, 1942, 543, 524, 13246, 727, 5106, 3268, 269, 2311, 519, 1482, 942, 267, 621, 849, 7182, 519, 12957, 1184, 543, 519, 13319, 540, 3156, 269, 1547, 4475, 267, 519, 1646, 540, 513, 4028, 31332, 3679, 5305, 1505, 602, 666, 3533, 5305, 31332, 3679, 1510, 7133, 7766, 4719, 4152, 6901, 814, 1831, 606, 14849, 1966, 547, 581, 12193, 563, 275, 269, 22319, 31332, 3679, 4028, 5305, 2029, 454, 763, 5027, 5305, 6539, 568, 6131, 547, 3533, 5305, 3586, 2837, 28264, 28659, 5027, 689, 1585, 1455, 5439, 269, 898, 814, 519, 1739, 4162, 912, 272, 269, 634, 31332, 3679, 5305, 8665, 666, 3533, 11430, 572, 519, 3732, 543, 1863, 519, 5027, 540, 519, 3732, 538, 519, 3070, 269, 1703, 568, 1100, 991, 547, 5965, 1022, 556, 698, 757, 676, 3054, 267, 543, 1100, 6757, 556, 698, 757, 971, 607, 4307, 565, 543, 8392, 334, 845, 616, 1031, 563, 273, 269, 634, 5106, 568, 2241, 267, 621, 1152, 3217, 835, 1900, 630, 12671, 476, 274, 3764, 264, 547, 3489, 519, 5027, 10959, 585, 3586, 2837, 28264, 29208, 267, 1510, 1022, 5106, 3268, 971, 607, 25916, 566, 543, 10868, 563, 274, 269, 634, 2898, 1184, 568, 1152, 6192, 538, 835, 1298, 17287, 4007, 8546, 267, 799, 30417, 519, 2530, 540, 10250, 5439, 543, 568, 711, 2653, 547, 3444, 12526, 269, 898, 568, 12863, 543, 811, 10375, 982, 4122, 1031, 10868, 20164, 563, 275, 269, 22453, 17356, 267, 5078, 585, 1455, 7636, 7350, 5439, 267, 1519, 4551, 267, 7786, 267, 1585, 3662, 8031, 267, 5711, 2281, 267, 4552, 267, 4551, 543, 8290, 538, 8031, 267, 3092, 269, 0, 763, 3778, 540, 21019, 454, 26589, 609, 4154, 267, 7601, 568, 519, 9510, 4496, 1634, 547, 812, 269, 1452, 1079, 4190, 8407, 941, 4362, 538, 741, 5065, 1106, 538, 3504, 2053, 267, 1141, 741, 10058, 543, 3750, 2275, 10248, 15437, 1500, 873, 811, 7298, 543, 22539, 563, 290, 32111, 818, 974, 30440, 723, 1044, 20114, 2429, 1686, 267, 609, 519, 9510, 1634, 7601, 2376, 1373, 513, 20805, 656, 602, 7389, 1394, 547, 476, 12010, 271, 6195, 269, 898, 729, 1336, 538, 5607, 19724, 563, 26123, 3540, 31907, 689, 782, 936, 519, 1158, 941, 19832, 609, 7601, 269, 898, 779, 9998, 3483, 729, 607, 513, 1106, 540, 23732, 610, 19799, 618, 269, 769, 3624, 267, 3127, 267, 18475, 543, 7507, 267, 713, 4496, 729, 6752, 539, 883, 10058, 9925, 749, 2044, 543, 17960, 269, 4658, 941, 6537, 547, 922, 5898, 543, 5159, 1336, 621, 2653, 547, 13861, 269, 1677, 713, 1554, 267, 7601, 1869, 5713, 713, 3483, 563, 30952, 593, 267, 1004, 4362, 602, 19730, 543, 7601, 1185, 513, 1970, 13621, 1448, 267, 1818, 873, 2653, 547, 5641, 883, 1114, 3029, 269, 4495, 891, 8407, 1185, 1044, 5249, 267, 789, 2968, 1360, 2182, 269, 901, 2189, 4999, 540, 7907, 5921, 602, 7601, 543, 19730, 2968, 1360, 3407, 607, 1134, 607, 3730, 269, 1358, 941, 1031, 547, 585, 613, 2645, 267, 9604, 543, 26633, 269, 1677, 713, 1554, 267, 7601, 26633, 616, 513, 11495, 543, 2182, 2914, 8960, 6221, 563, 1103, 519, 2413, 1158, 267, 7601, 1869, 814, 1082, 3096, 269, 9861, 28890, 267, 621, 568, 4998, 585, 4070, 960, 543, 666, 581, 1336, 538, 21818, 267, 804, 32061, 543, 32072, 269, 898, 568, 1769, 2597, 543, 14463, 267, 1818, 621, 606, 5140, 4199, 269, 8752, 940, 22203, 543, 5122, 11443, 616, 849, 4749, 1500, 540, 7601, 1813, 547, 922, 5140, 5759, 547, 2932, 5201, 269, 21019, 568, 1031, 547, 4020, 513, 1297, 540, 1114, 2413, 6472, 269, 898, 568, 849, 1031, 538, 7622, 26892, 267, 10051, 2264, 267, 18810, 543, 16560, 1148, 563, 290, 32111, 543, 5071, 4653, 454, 2026, 728, 689, 922, 4853, 543, 2029, 3096, 267, 7601, 568, 1869, 1031, 538, 16560, 1148, 269, 898, 568, 4241, 602, 5103, 922, 1007, 1336, 3096, 267, 1082, 1004, 1869, 946, 621, 538, 519, 1482, 6073, 621, 729, 1031, 538, 3504, 3540, 5314, 269, 14171, 713, 4496, 1394, 547, 922, 3312, 3483, 4667, 1360, 2027, 269, 898, 1797, 602, 1169, 4062, 540, 1148, 610, 18991, 2966, 1843, 602, 568, 4646, 689, 7601, 814, 513, 4241, 6561, 543, 2501, 14869, 539, 538, 1650, 543, 26675, 269, 901, 4276, 609, 519, 2250, 3947, 513, 15851, 1745, 602, 568, 4998, 585, 1753, 26955, 14585, 269, 3143, 2339, 2436, 596, 1904, 585, 2757, 954, 12542, 610, 513, 811, 4207, 2511, 267, 596, 666, 10018, 602, 7601, 786, 3514, 538, 9985, 563, 763, 7601, 1374, 7678, 568, 835, 602, 666, 581, 17947, 4628, 676, 13868, 2101, 3514, 14005, 538, 707, 10051, 543, 10115, 538, 3388, 7601, 689, 512, 2355, 1657, 519, 16173, 547, 513, 2847, 2086, 538, 10051, 2264, 269, 1403, 596, 616, 26970, 676, 519, 7601, 26955, 14585, 7678, 855, 1616, 547, 1175, 946, 11029, 2609, 1287, 596, 949, 6999, 547, 4584, 856, 513, 1906, 2824, 3688, 971, 607, 513, 2039, 540, 7601, 10051, 2264, 267, 7601, 268, 2023, 539, 10051, 20362, 543, 5310, 930, 25447, 610, 23788, 563, 763, 9703, 7678 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 585, 1775, 538, 2039, 263, 272, 267, 1556, 2187, 1038, 1267, 815, 1775, 265, 333, 454, 1038, 1820, 3799, 2437, 311, 2580, 328, 2073, 257, 284, 2580, 333, 265, 328, 994, 258, 562, 284, 6358, 2891, 11767, 1022, 1297, 281, 834, 2020, 5864, 3279, 263, 276, 994, 0, 4289, 815, 1496, 272, 267, 273, 267, 274, 267, 275, 267, 276, 2639, 2908, 8266, 815, 11713, 1721, 1535, 538, 1592, 912, 825, 1007, 8266, 6910, 3287, 20080, 994, 2745, 28956, 8266, 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 ]
[ 18411, 825, 678, 5320, 815, 1412, 7055, 825, 585, 524, 538, 2262, 31573, 10031, 1038, 1775, 815, 3921, 6262, 264, 1341, 562, 454, 1038, 952, 1775, 3436, 3921, 3488, 345, 262, 2187, 2018, 1775, 815, 3921, 3488, 320, 10807, 910, 476, 272, 1341, 630, 328, 910, 3921, 3488, 345, 29125, 1038, 8640, 1775, 2999, 3921, 3488, 320, 262, 2187, 2018, 1775, 815, 3921, 3488, 345, 10807, 1341, 476, 272, 910, 630, 867, 3488, 320, 10807, 910, 1775, 994, 1038, 678, 5320, 6834, 669, 337, 9217, 994, 825, 2132, 678, 5320, 692, 2745, 263, 8527, 622, 29999, 3488, 345, 629, 7251, 3299, 274, 4297, 1363, 0, 5814, 4351, 5897, 2745, 2891, 10831, 2871, 31757, 10794, 14744, 2745, 2891, 8450, 952, 596, 666, 7058, 519, 1297, 538, 476, 276, 8458, 834, 10142, 577, 1734, 284, 271, 1477, 15893, 284, 4351, 27110, 263, 272, 267, 280, 10142, 6112, 8458, 2999, 476, 276, 281, 5897, 825, 7058, 284, 703, 9272, 2891, 1432, 568, 2659, 2871, 612, 263, 272, 268, 280, 2567, 8442, 3418, 24541, 825, 952, 7058, 2525, 15893, 6769, 1038, 1820, 2891, 23558, 256, 1411, 654, 517, 14744, 1038, 2736, 5897, 825, 8640, 7058, 3436, 1297, 6769, 2018, 1820, 2891, 7312, 7058, 729, 1932, 1164, 281, 2871, 612, 513, 1297, 4130, 982, 2580, 7058, 10142, 825, 3116, 6769, 2018, 1820, 2891, 7312, 7058, 729, 1932, 1970, 281, 2871, 612, 513, 1297, 2362, 982, 2580, 7058, 10142, 825, 8458, 6834, 476, 272, 5897, 604, 711, 8458, 2999, 476, 276, 6769, 825, 1820, 2891, 2791, 23452, 256, 634, 1297, 729, 2580, 15893, 264, 0, 5228, 12449, 1104, 27661, 5814, 942, 454, 258, 763, 5049, 2630, 941, 2813, 547, 4217, 803, 538, 5373, 519, 13793, 2006, 543, 15393, 3615, 540, 1250, 3014, 563, 5035, 670, 836, 2006, 912, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 269, 22487, 284, 11592, 263, 6344, 267, 3445, 994, 1038, 1582, 269, 31709, 284, 1015, 454, 825, 1219, 2721, 3650, 4311, 2187, 1038, 2212, 284, 290, 22511, 4311, 269, 22487, 267, 1345, 269, 31709, 994, 1038, 2212, 6155, 3863, 263, 7773, 994, 825, 1219, 2721, 7853, 4311, 2187, 1038, 1560, 284, 18118, 263, 11592, 263, 6344, 267, 6200, 1070, 11592, 263, 6344, 267, 15221, 4917, 1038, 1560, 6155, 3863, 263, 7773, 994, 825, 1219, 2721, 548, 325, 628, 663, 4311, 2187, 1038, 682, 325, 628, 663, 284, 18118, 263, 11592, 263, 6344, 267, 9083, 1070, 11592, 263, 9834, 267, 8099, 4917, 1038, 682, 325, 628, 663, 6155, 3863, 263, 7773, 994, 825, 1219, 2721, 337, 12915, 663, 4311, 2187, 1038, 678, 12915, 663, 284, 18118, 263, 11592, 263, 6344, 267, 9083, 1070, 11592, 263, 15221, 267, 8099, 4917, 1038, 678, 12915, 663, 6155, 3863, 263, 7773, 994, 825, 1219, 2721, 3847, 5586, 4311, 2187, 1038, 2451, 5586, 284, 18118, 263, 11592, 263, 6344, 267, 15221, 1070, 11592, 263, 4200, 267, 14028, 4917, 1038, 2451, 5586, 6155, 3863, 263, 7773, 994, 825, 1219, 2721, 2431, 5586, 4311, 2187, 1038, 1318, 5586, 284, 18118, 263, 11592, 263, 6344, 267, 15221, 1070, 11592, 263, 9610, 267, 14028, 4917, 1038, 1318, 5586, 6155, 3863, 263, 7773, 994, 5035, 24504, 912, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 12500, 848, 284, 11592, 263, 4375, 267, 14378, 994, 1038, 1582, 269, 19417, 284, 11592, 263, 4375, 267, 279, 994, 825, 1219, 2721, 335, 1961, 19417, 4311, 2187, 1038, 4463, 284, 18118, 4311, 12500, 848, 267, 1345, 269, 19417, 994, 1038, 4463, 6155, 3863, 263, 7773, 994, 825, 1219, 2721, 335, 1961, 26319, 4311, 2187, 1038, 3259, 284, 18118, 4311, 269, 19417, 267, 11592, 263, 6344, 267, 279, 4917, 1038, 3259, 6155, 3863, 263, 7773, 994, 825, 1219, 2721, 549, 701, 4311, 2187, 1038, 18052, 284, 18118, 263, 11592, 263, 6344, 267, 279, 1070, 11592, 263, 6344, 267, 3199, 4917, 1038, 18052, 6155, 3863, 263, 7773, 994, 825, 1219, 2721, 335, 1961, 19668, 4311, 2187, 1038, 3490, 284, 18118, 263, 11592, 263, 1724, 267, 14378, 1070, 11592, 263, 3583, 267, 14378, 4917, 1038, 3490, 6155, 3863, 263, 7773, 994, 7773, 284, 20877, 310, 514, 3488, 295, 836, 2006, 10794, 5073, 28702, 2006, 284, 295, 836, 2006, 4590, 335, 1961, 284, 303, 1961, 10797, 258, 763, 3252, 2630, 568, 1031, 538, 2165, 3215, 519, 3014, 267, 4470, 593, 2436, 519, 6345, 17993, 610, 19380, 563, 3698, 4503, 18524, 10031, 825, 942, 4732, 2748, 263, 271, 269, 276, 994, 825, 3094, 25379, 4590, 825, 1820, 2891, 29228, 3683, 5602, 825, 1820, 2891, 763, 2262, 596, 941, 3843, 547, 7058, 729, 1412, 24001, 262, 543, 621, 568, 513, 270, 534, 15079, 2668, 8971, 27182, 267, 327, 842, 4917, 825, 2518, 1990, 454, 825, 1990, 284, 339, 1845, 454, 3698, 13617, 877, 10031, 825, 942, 4732, 2748, 263, 271, 269, 276, 994, 825, 3094, 25379, 4590, 825, 1820, 2891, 23558, 30314, 1411, 654, 517, 23528, 825, 1820, 2891, 763, 2262, 596, 13151, 525, 2685, 31665, 729, 1412, 24001, 262, 543, 621, 568, 513, 270, 534, 15079, 2668, 8971, 27182, 267, 327, 842, 4917, 825, 2518, 1990, 454, 825, 1990, 284, 339, 1845, 692, 258, 1607, 6712, 540, 519, 3009, 2630, 568, 3743, 585, 13844, 513, 4351, 2262, 689, 519, 1257, 3758, 609, 519, 948, 540, 519, 28219, 9792, 1599, 563, 5228, 4351, 1104, 27661, 5320, 12803, 284, 13449, 2891, 6919, 17902, 2580, 262, 337, 5073, 5320, 11415, 284, 5320, 12803, 18667, 4590, 5320, 4289, 284, 5320, 11415, 21858, 28361, 333, 5073, 12690, 8161, 284, 8681, 9792, 263, 271, 267, 6352, 27182, 4289, 4917, 1467, 284, 5320, 4289, 314, 12690, 8161, 2639, 330, 284, 1467, 21858, 263, 3299, 5073, 5320, 284, 330, 314, 271, 2639, 327, 842, 284, 330, 314, 272, 2639, 2745, 22607, 842, 994, 342, 3994, 340, 612, 284, 271, 692, 258, 763, 6712, 540, 519, 3009, 2630, 568, 3743, 585, 18071, 519, 20726, 543, 6456, 2262, 547, 519, 3593, 563, 531, 8224, 815, 834, 29582, 3698, 724, 6359, 9383, 19282, 641, 336, 337, 560, 12320, 342, 15383, 345, 4840, 19563, 8266, 815, 11713, 1721, 1775, 538, 9904, 912, 825, 21229, 8266, 6910, 9217, 2020, 18878, 17504, 8266, 815, 32582, 3097, 323, 1662, 8266, 815, 32582, 3097, 1721, 1775, 538, 2262, 912, 825, 11979, 17504, 8266, 6910, 9217, 994, 825, 21686, 8266, 6910, 2891, 268, 15419, 3698, 547, 21803, 263, 14403, 2187, 825, 6221, 8266, 815, 834, 5016, 825, 585, 1775, 538, 6221, 912, 1038, 6221, 8266, 6834, 1775, 692, 825, 2132, 6221, 8266, 454, 2745, 263, 1729, 21803, 5560, 1662, 8266, 11723, 339, 1845, 815, 476, 271, 454, 342, 3994, 338, 815, 476, 271, 454, 345, 284, 6352, 27182, 11924, 4200, 692, 258, 1607, 6712, 540, 519, 3009, 568, 519, 4890, 3014, 7954, 563, 258, 763, 1247, 8520, 8952, 519, 3014, 4881, 2394, 519, 3593, 814, 6603, 519, 5021, 1297, 540, 4636, 7058, 525, 454, 6112, 13290, 2999, 1990, 912, 825, 2907, 10817, 612, 539, 815, 8771, 454, 825, 7058, 815, 3403, 2891, 11767, 513, 4484, 281, 834, 1040, 12294, 10797, 825, 952, 7058, 711, 538, 2262, 912, 1038, 2907, 10817, 612, 539, 815, 6936, 454, 1038, 4636, 340, 612, 6834, 476, 272, 454, 1363, 692, 825, 585, 1775, 538, 2039, 263, 18878, 17504, 8266, 29644, 263, 29674, 15892, 1038, 7058, 19340, 815, 11979, 17504, 8266, 28827, 263, 29674, 994, 1038, 11979, 17504, 8266, 314, 29674, 19340, 316, 815, 834, 265, 4840, 1038, 21686, 8266, 314, 29674, 19340, 316, 815, 7058, 454, 258, 296, 1205, 606, 4994, 5470, 8164, 519, 6345, 11378, 513, 4484, 602, 814, 2907, 1044, 31665, 267, 547, 2061, 713, 1775, 1031, 834, 339, 787, 543, 4849, 4840, 825, 2119, 912, 1038, 7058, 2704, 874, 19340, 815, 21229, 8266, 28827, 263, 29674, 994, 1038, 21229, 8266, 314, 29674, 2704, 874, 19340, 316, 815, 834, 261, 4840, 825, 4849, 912, 1038, 1820, 2891, 2704, 2819, 31665, 15419, 825, 2907, 10817, 612, 539, 815, 8771, 692, 825, 1820, 263, 1729, 21803, 5560, 1662, 8266, 11723, 825, 13290, 6834, 476, 272, 692, 258, 1607, 6712, 540, 519, 3009, 2630, 14405, 519, 13793, 2006, 563, 825, 952, 4636, 340, 612, 2525, 272, 912, 1038, 15393, 6155, 3863, 335, 1961, 19668, 4590, 825, 952, 4636, 340, 612, 2525, 273, 912, 1038, 15393, 6155, 3863, 335, 1961, 19417, 4590, 825, 952, 4636, 340, 612, 2525, 274, 912, 1038, 15393, 6155, 3863, 335, 1961, 26319, 4590, 825, 952, 4636, 340, 612, 2525, 275, 912, 1038, 15393, 6155, 3863, 549, 701, 4590, 825, 952, 4636, 340, 612, 2525, 276, 912, 1038, 13793, 2006, 6155, 3863, 3650, 4590, 825, 952, 4636, 340, 612, 2525, 277, 912, 1038, 13793, 2006, 6155, 3863, 7853, 4590, 825, 952, 4636, 340, 612, 2525, 278, 912, 1038, 13793, 2006, 6155, 3863, 548, 325, 628, 663, 4590, 825, 952, 4636, 340, 612, 2525, 279, 912, 1038, 13793, 2006, 6155, 3863, 337, 12915, 663, 4590, 825, 952, 4636, 340, 612, 2525, 280, 912, 1038, 13793, 2006, 6155, 3863, 3847, 5586, 4590, 825, 952, 4636, 340, 612, 2525, 1015, 912, 1038, 13793, 2006, 6155, 3863, 2431, 5586, 4590, 1038, 4503, 18524, 4590, 825, 952, 11979, 17504, 8266, 29644, 3488, 265, 10807, 2525, 6352, 27182, 2187, 1038, 13617, 877, 4590, 0, 305, 3633, 815, 6936, 454, 13993, 19272, 815, 8771, 692, 5035, 681, 6630, 872, 11966, 912, 825, 6449, 16435, 1824, 1029, 815, 18358, 4486, 3299, 1412, 1998, 3299, 1412, 10233, 3299, 1412, 3847, 3299, 1412, 2431, 3299, 1412, 8001, 23300, 8931, 825, 1219, 6449, 8181, 9191, 1345, 267, 1883, 267, 1130, 815, 7183, 2187, 1038, 1582, 269, 4486, 815, 1883, 454, 1038, 1582, 22183, 815, 1130, 454, 1038, 1582, 269, 10233, 815, 681, 3633, 454, 1038, 1582, 16000, 815, 7183, 454, 1038, 1582, 16192, 815, 7183, 454, 1038, 1582, 4877, 1861, 815, 7183, 692, 5035, 681, 6630, 872, 912, 825, 15981, 4486, 568, 2189, 18411, 825, 1219, 6449, 8181, 9191, 1345, 267, 3597, 815, 7183, 2187, 1038, 1582, 11519, 10174, 815, 3597, 692, 825, 1219, 3597, 4311, 2187, 1038, 2132, 1582, 11519, 10174, 692, 825, 1219, 23453, 4311, 267, 1883, 267, 1130, 2187, 1038, 2518, 19154, 19272, 267, 681, 3633, 454, 1038, 1007, 11966, 815, 681, 6630, 872, 11966, 31107, 267, 1130, 994, 1038, 952, 1582, 11519, 10174, 2652, 7183, 281, 3097, 2018, 1582, 11519, 10174, 815, 1007, 11966, 454, 2018, 1582, 11519, 10174, 269, 10233, 815, 19154, 19272, 454, 2018, 2132, 454, 1038, 7696, 303, 657, 815, 1582, 11519, 15507, 11900, 1068, 303, 657, 4311, 11519, 10174, 267, 7183, 267, 1883, 994, 1038, 952, 7696, 303, 657, 269, 4486, 3436, 1883, 912, 2018, 7682, 7696, 303, 657, 16000, 2652, 7183, 454, 2018, 7696, 303, 657, 16000, 815, 1007, 11966, 454, 2018, 1007, 11966, 4877, 1861, 815, 7696, 303, 657, 454, 1038, 8640, 7696, 303, 657, 269, 4486, 2999, 1883, 912, 2018, 7682, 7696, 303, 657, 16192, 2652, 7183, 454, 2018, 7696, 303, 657, 16192, 815, 1007, 11966, 454, 2018, 1007, 11966, 4877, 1861, 815, 7696, 303, 657, 454, 1038, 3116, 912, 2018, 6318, 1401, 4003, 3488, 4486, 2291, 262, 1341, 1193, 31107, 4917, 1038, 1582, 11519, 11900, 1068, 293, 1460, 28956, 11966, 994, 13872, 825, 1219, 4855, 4311, 267, 1883, 2187, 1038, 1225, 815, 1582, 11519, 10174, 454, 1038, 1247, 1225, 11203, 7183, 912, 2018, 952, 1225, 269, 4486, 2652, 1883, 912, 23526, 2132, 1225, 22183, 454, 2018, 8640, 1225, 269, 4486, 3436, 1883, 912, 23526, 1225, 815, 1225, 16000, 454, 2018, 3116, 912, 23526, 1225, 815, 1225, 16192, 454, 1038, 2132, 7183, 454, 3097, 825, 1219, 13722, 289, 895, 4311, 267, 1883, 2187, 1038, 15981, 8873, 737, 341, 6292, 18411, 1038, 1225, 815, 1582, 11519, 10174, 454, 1038, 2539, 289, 895, 815, 7183, 454, 1038, 1247, 1225, 11203, 7183, 912, 2018, 952, 1225, 269, 4486, 2652, 1883, 912, 23526, 2132, 1225, 269, 4486, 267, 1225, 22183, 454, 2018, 8640, 1225, 269, 4486, 3436, 1883, 912, 23526, 1225, 815, 1225, 16000, 454, 2018, 3116, 912, 23526, 2539, 289, 895, 815, 1225, 454, 23526, 1225, 815, 1225, 16192, 454, 1038, 952, 2539, 289, 895, 2652, 7183, 912, 2018, 2132, 7183, 267, 7183, 454, 1038, 3116, 912, 2018, 2132, 2539, 289, 895, 269, 4486, 267, 2539, 289, 895, 22183, 692, 825, 1219, 9041, 11900, 1068, 293, 1460, 4311, 267, 6843, 2187, 1038, 2518, 19154, 19272, 267, 681, 3633, 454, 1038, 1247, 6936, 912, 2018, 952, 6843, 2652, 1582, 11519, 10174, 912, 3546, 6843, 269, 10233, 815, 19154, 19272, 454, 3546, 2736, 454, 2018, 2385, 815, 6843, 4877, 1861, 454, 2018, 952, 2385, 269, 10233, 2652, 19154, 19272, 912, 3546 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 320, 2749, 5402, 13939, 4775, 21431, 6438, 12961, 543, 5798, 602, 941, 25778, 3022, 538, 519, 7210, 2989, 5072, 269, 7982, 538, 519, 8047, 789, 31372, 1614, 2395, 585, 519, 5798, 547, 24011, 543, 1287, 9916, 519, 4775, 12961, 563, 763, 3337, 543, 2450, 540, 519, 1560, 20083, 9985, 609, 1346, 540, 519, 9253, 1355, 9609, 928, 795, 24170, 3821, 630, 300, 269, 795, 24170, 3821, 264, 5180, 11988, 269, 1677, 9090, 6166, 519, 3961, 540, 519, 12961, 267, 519, 3173, 13939, 5027, 689, 513, 9241, 11058, 3481, 15556, 585, 2079, 269, 1306, 4397, 267, 621, 8659, 513, 5569, 540, 476, 276, 1704, 3490, 8424, 538, 782, 1765, 1211, 673, 547, 631, 269, 795, 24170, 3821, 563, 2414, 6166, 602, 519, 17079, 729, 3743, 585, 519, 7210, 2287, 540, 519, 23741, 2371, 267, 519, 2319, 1287, 17332, 476, 6110, 9241, 11058, 3481, 12961, 883, 519, 17428, 540, 476, 1321, 23741, 2371, 6738, 538, 513, 8511, 269, 6271, 18797, 2371, 941, 6854, 1863, 689, 12961, 607, 8060, 269, 590, 4869, 344, 2395, 2663, 267, 519, 2371, 1102, 6479, 609, 519, 631, 269, 795, 24170, 3821, 17820, 519, 1482, 2589, 607, 1346, 1336, 7620, 538, 519, 2361, 269, 634, 12961, 941, 2899, 1586, 13939, 689, 519, 2030, 267, 543, 24466, 543, 5027, 9382, 9672, 585, 519, 2063, 942, 519, 3961, 540, 519, 2249, 563, 288, 2582, 631, 269, 795, 24170, 3821, 21431, 666, 16005, 909, 547, 476, 1220, 5798, 593, 519, 5072, 540, 513, 2030, 269, 769, 513, 1906, 2395, 519, 16793, 11700, 846, 543, 1376, 647, 9535, 909, 1216, 543, 5567, 689, 519, 5072, 540, 519, 2371, 267, 799, 1376, 547, 1060, 515, 543, 2220, 749, 267, 8108, 17736, 545, 6681, 6084, 5387, 5738, 2873, 269, 769, 835, 547, 1079, 3275, 519, 16793, 1831, 16770, 3742, 543, 666, 1376, 519, 4783, 782, 936, 1586, 269, 6270, 5563, 666, 1291, 2047, 547, 519, 2669, 540, 519, 2030, 267, 610, 18549, 267, 998, 9715, 13438, 547, 16507, 543, 9190, 6285, 563, 1607, 9341, 19800, 568, 5827, 540, 3468, 532, 513, 30162, 540, 2371, 267, 543, 568, 835, 540, 519, 2101, 6594, 6694, 10860, 269, 3683, 1079, 8536, 2371, 616, 7925, 547, 519, 9962, 1920, 540, 3597, 10275, 2254, 29712, 3941, 547, 799, 631, 269, 795, 24170, 3821, 12851, 543, 267, 1927, 267, 789, 616, 3743, 585, 606, 6059, 476, 276, 260, 540, 782, 7031, 4503, 5001, 563, 28095, 5359, 689, 3162, 4000, 1185, 2907, 23576, 519, 2702, 540, 519, 631, 269, 795, 24170, 3821, 547, 15890, 519, 23741, 2030, 267, 855, 713, 729, 519, 1101, 942, 971, 513, 7613, 729, 4767, 538, 3624, 269, 634, 2197, 8843, 513, 1686, 540, 936, 476, 7785, 271, 1296, 540, 23741, 14713, 267, 543, 2221, 621, 3568, 3368, 540, 519, 1158, 779, 1858, 13991, 547, 23741, 6775, 543, 6079, 24914, 269, 16593, 2685, 267, 519, 6602, 540, 631, 269, 795, 24170, 3821, 17079, 28383, 786, 1450, 585, 513, 12905, 4831, 268, 24978, 543, 5150, 519, 2104, 4027, 540, 891, 7031, 563, 763, 1867, 568, 2139, 585, 1863, 538, 519, 4760, 7233, 8376, 563, 8722, 25733, 3239, 676, 24138, 590, 2174, 320, 269, 0, 763, 12852, 3534, 5211, 568, 513, 5757, 538, 519, 1533, 540, 26527, 30773, 538, 7013, 3127, 269, 898, 4991, 922, 2012, 689, 519, 15831, 717, 4275, 10937, 267, 849, 1634, 607, 3474, 341, 10620, 563, 763, 12852, 3534, 24865, 693, 918, 655, 30078, 538, 519, 5375, 717, 1002, 338, 7823, 2039, 543, 8928, 7532, 2066, 27850, 1731, 10588, 1765, 3602, 621, 568, 8678, 676, 519, 8575, 639, 600, 5211, 11652, 883, 5689, 9298, 517, 10588, 269, 898, 1287, 23638, 5087, 547, 6443, 519, 570, 2194, 328, 5211, 269, 634, 7887, 21394, 593, 621, 616, 932, 1678, 777, 584, 12456, 630, 321, 16742, 676, 519, 3703, 2282, 2806, 327, 7431, 538, 519, 17833, 9774, 751, 26387, 559, 267, 1141, 519, 7203, 17989, 18553, 5211, 26082, 519, 12852, 3534, 264, 543, 12852, 3534, 12456, 630, 321, 16742, 538, 476, 3422, 280, 1040, 634, 5757, 16935, 6013, 593, 519, 1546, 764, 534, 17934, 879, 267, 543, 922, 14860, 814, 15417, 3037, 602, 568, 703, 13208, 3484, 539, 563, 763, 30657, 8291, 518, 540, 519, 25512, 599, 3465, 19409, 4330, 519, 1576, 540, 519, 5757, 607, 5205, 912, 305, 2358, 538, 519, 7262, 15113, 540, 519, 17833, 7079, 1016, 1673, 643, 1707, 540, 715, 553, 1731, 267, 543, 10480, 676, 12535, 689, 519, 7187, 19527, 540, 519, 25941, 528, 610, 590, 2194, 1662, 2590, 2039, 267, 1310, 513, 1576, 540, 827, 476, 5611, 5195, 267, 8813, 883, 519, 570, 2194, 328, 2282, 14205, 6767, 9539, 663, 539, 269, 4706, 1576, 6013, 538, 5176, 3160, 2694, 538, 715, 553, 1731, 543, 918, 8518, 21983, 269, 10426, 532, 998, 715, 553, 1731, 3592, 538, 513, 2786, 1899, 7532, 2072, 267, 538, 918, 8518, 21983, 922, 1576, 2242, 547, 5087, 3887, 770, 267, 11489, 267, 2282, 808, 531, 8615, 517, 267, 621, 536, 1742, 5087, 543, 1287, 5087, 29891, 13576, 585, 1896, 5195, 609, 1082, 2842, 902, 3592, 6252, 547, 519, 570, 2194, 328, 269, 769, 918, 8518, 21983, 267, 4849, 538, 835, 610, 1079, 4025, 1141, 621, 568, 8280, 4364, 538, 676, 22586, 15113, 267, 519, 12852, 3534, 267, 936, 513, 3376, 22501, 5127, 267, 8928, 998, 513, 1134, 512, 2683, 14860, 7930, 10825, 883, 519, 1390, 3844, 10750, 269, 4706, 7297, 267, 1312, 538, 715, 553, 1731, 543, 918, 8518, 21983, 267, 616, 1454, 1031, 585, 12555, 269, 769, 715, 553, 1731, 25015, 30465, 21394, 543, 9055, 1216, 1082, 540, 922, 10575, 663, 23898, 267, 543, 538, 918, 8518, 21983, 267, 689, 661, 1695, 531, 827, 4557, 5195, 5087, 540, 932, 23653, 8615, 517, 267, 519, 11918, 6767, 23668, 12701, 7532, 585, 827, 8938, 5498, 1597, 5195, 593, 519, 2451, 543, 12964, 5195, 593, 519, 1318, 4871, 563, 1607, 3296, 568, 8900, 269, 1411, 666, 948, 676, 4946, 547, 621, 269, 630, 18907, 476, 1001, 278, 994, 10870, 24002, 281, 476, 2641, 4113, 5400, 12664, 301, 476, 4037, 4113, 866, 12664, 292, 1315, 476, 2641, 269, 15836, 4113, 301, 476, 4037, 269, 28766, 4113, 292, 0, 305, 17128, 10388, 1557, 1164, 1153, 454, 25324, 340, 5235, 19875, 8846, 281, 707, 7084, 786, 581, 28439, 1759, 593, 713, 19875, 18867, 267, 946, 713, 19875, 607, 513, 3391, 950, 2324, 593, 707, 7084, 543, 2638, 269, 11676, 626, 541, 568, 513, 1907, 547, 948, 519, 4116, 945, 6499, 547, 946, 6299, 7879, 267, 855, 1281, 711, 723, 519, 942, 547, 1020, 873, 689, 15072, 1946, 18537, 10388, 1557, 15545, 853, 320, 541, 10388, 1603, 19875, 476, 272, 476, 273, 476, 274, 476, 275, 9357, 519, 12180, 2497, 540, 519, 1557, 568, 20025, 547, 519, 3483, 610, 519, 1808, 7569, 540, 519, 5401, 269, 476, 275, 4359, 476, 274, 15334, 476, 273, 16042, 15334, 476, 272, 19585, 2921, 513, 2990, 3217, 513, 2312, 15826, 543, 10388, 2990, 16994, 1659, 792, 1145, 540, 519, 269, 29480, 1557, 18176, 19875, 2278, 281, 588, 656, 517, 1647, 1153, 2063, 9168, 676, 281, 588, 656, 517, 1647, 1153, 2813, 4266, 281, 10388, 1557, 18176, 19875, 563, 17206, 540, 5923, 15898, 588, 719, 1923, 5923, 15898, 781, 4874, 23855, 545, 6280, 10388, 1557, 543, 17770, 7240, 2680, 1557, 19875, 585, 1164, 1153, 14245, 269, 13225, 338, 1557, 19875, 476, 276, 476, 275, 476, 274, 476, 273, 476, 272, 22051, 519, 1893, 543, 3159, 540, 519, 1557, 3986, 519, 10388, 3483, 1207, 5112, 1164, 1153, 1107, 1557, 21249, 19875, 2140, 269, 16520, 2079, 19875, 10388, 4661, 798, 596, 1589, 519, 3446, 596, 4607, 593, 707, 1557, 729, 1932, 1164, 267, 1932, 1970, 269, 901, 28094, 689, 938, 1101, 1647, 19986, 3135, 2934, 1344, 827, 2870, 1299, 1210, 10388, 1557, 5401, 543, 19875, 1164, 1153, 7041, 1315, 519, 563, 25324, 24070, 4633, 6268, 19875, 269, 29480, 1557, 19875, 1164, 1153, 827, 3948, 2724, 3142, 8788, 543, 875, 568, 1114, 689, 513, 18673, 1519, 519, 2875, 779, 3356, 2429, 519, 269, 5871, 4295, 4441, 1603, 19875, 891, 585, 811, 2093, 593, 875, 547, 2936, 519, 1455, 4295, 4441, 538, 707, 1153, 610, 4928, 563, 11947, 1153, 1557, 21249, 19875, 910, 946, 713, 3028, 547, 4309, 707, 10427, 5098, 9447, 593, 942, 4324, 689, 938, 10097, 2688, 1382, 1957, 1603, 269, 14484, 633, 1557, 267, 513, 2239, 1557, 6212, 593, 513, 1808, 3390, 540, 707, 1966, 3070, 562, 4912, 476, 10463, 585, 1164, 1153, 20650, 610, 2852, 4195, 5443, 267, 8683, 558, 2803, 543, 15118, 12542, 269, 853, 320, 541, 1107, 1164, 1153, 10388, 1603, 19875, 519, 12180, 2497, 540, 519, 1557, 568, 20025, 547, 519, 3483, 610, 519, 1808, 7569, 540, 519, 5401, 563, 268, 29480, 4484, 1603, 19875, 1164, 1153, 711, 513, 5098, 267, 1932, 2489, 10388, 4484, 1603, 19875, 1164, 1153, 4945, 1934, 713, 957, 540, 1582, 26190, 568, 563, 268, 11676, 878, 568, 2356, 1031, 607, 513, 18176, 10959, 535, 4141, 1557, 6268, 538, 519, 1164, 1153, 543, 538, 519, 2852, 952, 596, 991, 547, 917, 1018, 596, 786, 1205, 519, 8464, 585, 538, 707, 563, 308, 2955, 519, 18176, 7355, 585, 519, 10388, 1557, 1543, 267, 3919, 543, 1893, 946, 4808, 585, 1164, 1153, 1053, 269, 1284, 849, 723, 19875, 20536, 2645, 602, 19875, 585, 10388, 1557, 1164, 1153, 1118, 621, 2241, 547, 1711, 513, 19875, 593, 2648, 585, 2724, 522, 1777, 11867, 621, 596, 666, 3346, 1200, 269, 0, 9824, 476, 15836, 18759, 593, 519, 13005, 1712, 329, 532, 630, 3279, 334, 751, 669, 532, 264, 4976, 2243, 1948, 476, 1822, 6021, 272, 4905, 1641, 281, 875, 1281, 519, 13005, 1712, 329, 532, 21656, 2038, 546, 7776, 626, 3610, 476, 273, 875, 1131, 596, 21656, 546, 7776, 626, 10752, 538, 741, 30810, 18862, 585, 713, 2243, 2139, 585, 269, 634, 13005, 1712, 329, 532, 540, 3288, 9926, 328, 476, 272, 476, 272, 519, 2713, 546, 7776, 281, 519, 1148, 543, 1259, 540, 2713, 513, 3638, 1299, 5168, 995, 1272, 930, 1004, 1589, 602, 546, 7776, 626, 6138, 568, 968, 719, 540, 519, 1158, 892, 855, 621, 568, 2731, 1360, 1454, 968, 1993, 519, 1158, 892, 538, 3184, 476, 3199, 267, 3288, 9926, 328, 4718, 513, 1158, 538, 16027, 1281, 1010, 4549, 2218, 960, 2038, 547, 581, 899, 1864, 267, 835, 1590, 2628, 3007, 547, 519, 269, 1215, 1281, 519, 13005, 1712, 329, 532, 21656, 2038, 546, 7776, 626, 3610, 546, 7776, 1143, 10752, 5631, 1445, 593, 6138, 543, 695, 16120, 1143, 621, 6212, 593, 11544, 1927, 2470, 543, 1480, 1272, 538, 10103, 607, 835, 546, 7776, 814, 1044, 1767, 547, 581, 711, 1480, 267, 543, 568, 1100, 5601, 269, 20707, 1712, 329, 532, 630, 3279, 334, 751, 669, 532, 264, 519, 13005, 1712, 329, 532, 267, 519, 5929, 540, 519, 1259, 540, 1379, 267, 568, 5310, 519, 1655, 8153, 1433, 540, 24349, 546, 7776, 1143, 543, 568, 513, 5929, 540, 1158, 3332, 543, 17035, 621, 568, 519, 1034, 4922, 12261, 960, 689, 24349, 267, 12261, 883, 7005, 4805, 811, 982, 476, 1789, 2053, 621, 568, 6896, 883, 1079, 2835, 602, 2698, 476, 10037, 3584, 269, 667, 7776, 626, 4901, 13005, 1712, 329, 532, 1496, 9536, 329, 2495, 316, 3184, 476, 5655, 1129, 538, 547, 1246, 713, 1775, 1058, 1831, 519, 4116, 540, 782, 3610, 1368, 1990, 26907, 31343, 476, 1960, 274, 476, 5655, 2038, 1486, 334, 1673, 7776, 626, 2093, 267, 3288, 582, 17844, 267, 1990, 16852, 836, 17844, 267, 1368, 11961, 328, 543, 824, 2959, 593, 883, 519, 2038, 5553, 519, 2856, 602, 13140, 267, 3618, 543, 812, 1106, 513, 959, 6541, 2501, 547, 803, 689, 519, 1775, 669, 532, 267, 4481, 563, 291, 7776, 1143, 267, 21583, 9917, 978, 267, 543, 519, 13005, 1712, 329, 532, 2223, 3091, 519, 3844, 7440, 1101, 267, 646, 1101, 267, 646, 556, 3438, 919, 968, 1492, 6456, 1145, 540, 2038, 546, 7776, 1143, 2223, 13461, 8185, 593, 2963, 543, 2984, 269, 667, 7776, 1143, 1281, 711, 2012, 513, 2245, 27648, 676, 513, 15713, 1589, 518, 267, 1256, 1498, 519, 1455, 3661, 568, 602, 513, 4116, 3957, 3288, 9926, 328, 12090, 519, 1153, 543, 5206, 922, 2101, 960, 267, 1572, 519, 13005, 1712, 329, 532, 267, 849, 3006, 1634, 607, 519, 3288, 9926, 328, 519, 2245, 568, 849, 1572, 968, 5055, 334, 22271, 16852, 836, 892, 6138, 267, 13288, 269, 28001, 751, 669, 532, 630, 6767, 1712, 329, 532, 264, 676, 3288, 334, 512, 30349, 630, 5055, 9926, 328, 264, 28094, 267, 4994, 532, 267, 543 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2942, 2338, 1205, 2186, 540, 16602, 1934, 780, 8855, 602, 267, 1101, 540, 782, 609, 2695, 2130, 267, 513, 2318, 16302, 568, 2318, 543, 513, 2942, 16302, 568, 849, 2318, 267, 15502, 286, 1924, 713, 568, 3020, 585, 2695, 2130, 269, 4475, 621, 779, 3020, 602, 952, 649, 723, 1535, 16302, 11224, 513, 2318, 267, 602, 814, 1079, 3435, 267, 835, 2318, 543, 835, 2942, 269, 1280, 1383, 267, 1535, 16302, 11224, 8370, 267, 621, 1223, 581, 7132, 1614, 610, 14263, 1614, 780, 3528, 4334, 267, 1535, 16302, 11224, 513, 2942, 814, 1100, 2009, 3070, 269, 2473, 16302, 11224, 2942, 476, 280, 267, 972, 779, 1100, 1483, 1297, 602, 25389, 602, 3830, 269, 634, 2318, 543, 2942, 3652, 585, 18695, 616, 513, 2370, 3787, 1114, 269, 5457, 602, 952, 649, 13306, 513, 2318, 267, 649, 1205, 513, 2318, 267, 855, 952, 649, 13306, 513, 2942, 267, 649, 1205, 513, 2942, 780, 11997, 267, 1535, 7750, 539, 11224, 513, 2318, 814, 835, 2318, 3070, 267, 543, 1535, 7750, 539, 11224, 513, 2942, 814, 835, 2942, 3070, 269, 1924, 596, 1810, 1406, 1205, 519, 1966, 540, 5595, 5072, 538, 835, 2013, 543, 1100, 3070, 538, 1776, 2013, 267, 607, 649, 3893, 585, 2695, 2130, 269, 2060, 4009, 5072, 267, 649, 666, 1265, 519, 4009, 3597, 1152, 540, 1064, 14476, 780, 8170, 1576, 267, 649, 1223, 849, 1265, 519, 4009, 3597, 540, 4642, 267, 855, 649, 3112, 1491, 519, 4009, 3597, 540, 513, 2942, 267, 15502, 286, 1924, 585, 1454, 519, 1482, 2601, 267, 1175, 607, 649, 666, 1406, 4009, 1945, 543, 1205, 513, 2942, 267, 649, 666, 1406, 1491, 519, 4009, 3597, 540, 513, 2942, 269, 1809, 519, 3652, 616, 1360, 1114, 585, 13306, 5072, 269, 1284, 666, 1491, 519, 13306, 3597, 540, 1022, 1297, 593, 519, 1297, 1899, 267, 2318, 267, 4642, 267, 610, 2942, 780, 3383, 1169, 2582, 1297, 593, 519, 2942, 1899, 649, 666, 267, 649, 666, 6318, 621, 547, 519, 3791, 1379, 543, 649, 666, 1265, 519, 13306, 3597, 540, 621, 269, 1924, 585, 1383, 267, 519, 13306, 3597, 540, 5216, 568, 1079, 269, 634, 13306, 3597, 540, 4642, 568, 4642, 543, 519, 13306, 3597, 540, 2942, 5216, 568, 2942, 1079, 269, 1924, 7429, 519, 4009, 3597, 267, 519, 7750, 539, 3597, 666, 723, 513, 2942, 3977, 269, 1879, 649, 2322, 538, 513, 2942, 649, 1205, 856, 513, 2942, 780, 2690, 2656, 26398, 267, 621, 779, 1434, 547, 723, 519, 18695, 909, 547, 4557, 8357, 1242, 269, 15742, 569, 519, 1101, 3670, 616, 1360, 1271, 547, 27655, 267, 543, 2731, 952, 596, 917, 782, 4557, 267, 621, 779, 2186, 540, 513, 942, 1094, 591, 269, 1656, 513, 7008, 540, 1919, 594, 3580, 1448, 856, 269, 18564, 602, 5216, 7750, 539, 267, 540, 1576, 602, 1131, 581, 1079, 547, 519, 27630, 269, 18564, 602, 2185, 13306, 267, 602, 779, 1079, 16302, 13306, 267, 865, 602, 1131, 581, 1079, 547, 519, 15795, 267, 621, 1131, 849, 581, 1079, 547, 519, 3791, 16302, 267, 610, 5216, 16302, 780, 8170, 1576, 5216, 16302, 568, 476, 5038, 849, 267, 865, 972, 616, 930, 3270, 1934, 602, 649, 666, 7747, 8026, 938, 4031, 540, 23055, 269, 1924, 952, 649, 723, 891, 18695, 8357, 1242, 267, 8850, 649, 723, 513, 19619, 540, 13306, 5072, 8357, 1242, 269, 1656, 865, 602, 666, 581, 1360, 10375, 269, 28116, 5072, 616, 5266, 1102, 7528, 550, 593, 519, 1449, 780, 4517, 2362, 1931, 5072, 267, 8772, 3597, 267, 11359, 3597, 267, 15795, 3597, 616, 1256, 811, 4686, 269, 1924, 267, 891, 616, 711, 1360, 2693, 3584, 269, 594, 3580, 24633, 596, 1318, 1631, 269, 1809, 594, 3580, 2161, 513, 1906, 1919, 538, 2489, 827, 782, 5072, 269, 1924, 713, 568, 3020, 585, 1169, 2009, 3597, 267, 4009, 3597, 267, 13306, 3597, 267, 1696, 524, 2678, 320, 267, 1696, 524, 2678, 320, 780, 2171, 2461, 27613, 2911, 827, 782, 519, 3270, 1934, 269, 3689, 540, 782, 267, 519, 4009, 3597, 540, 513, 267, 519, 8772, 3597, 540, 513, 267, 519, 15795, 3597, 540, 513, 267, 1696, 524, 2678, 320, 267, 891, 616, 1572, 1256, 5072, 269, 1924, 950, 649, 723, 606, 1256, 1297, 2854, 972, 267, 621, 779, 606, 1256, 3597, 269, 1656, 540, 1576, 609, 519, 4009, 3597, 267, 972, 779, 606, 22466, 1079, 267, 865, 602, 779, 606, 1256, 3597, 849, 780, 763, 7750, 539, 3597, 267, 519, 11359, 3597, 267, 519, 18749, 3597, 267, 891, 616, 1572, 9642, 5072, 269, 1924, 649, 2461, 23243, 782, 519, 1256, 5072, 689, 782, 519, 9642, 5072, 269, 1656, 519, 2601, 649, 2461, 3257, 713, 568, 1317, 519, 1482, 2318, 543, 2942, 3364, 649, 4076, 14437, 827, 609, 10945, 543, 18695, 11498, 547, 782, 519, 859, 839, 543, 12918, 269, 1306, 609, 4009, 5072, 267, 649, 666, 1491, 1022, 1256, 3597, 540, 513, 2318, 1297, 267, 799, 2164, 538, 513, 2318, 3977, 780, 3719, 649, 3112, 1491, 606, 1256, 3597, 540, 513, 2942, 1297, 269, 1284, 2119, 547, 1491, 519, 267, 606, 1256, 3597, 540, 513, 2942, 1297, 267, 621, 568, 3768, 18249, 269, 898, 1281, 711, 3160, 4376, 593, 519, 1297, 1899, 269, 1635, 4334, 267, 607, 609, 13306, 5072, 267, 1022, 9642, 3597, 540, 513, 2318, 568, 2318, 543, 1022, 9642, 3597, 540, 513, 2942, 568, 2942, 269, 1924, 621, 5205, 602, 1482, 7132, 543, 14263, 4806, 780, 2690, 824, 3601, 267, 594, 786, 946, 519, 10035, 609, 606, 562, 1354, 519, 9097, 1129, 267, 865, 519, 32671, 3597, 540, 513, 269, 1656, 1934, 594, 6557, 6158, 827, 513, 2489, 3597, 267, 543, 540, 1576, 649, 2461, 267, 621, 779, 6956, 602, 562, 568, 606, 8870, 3152, 982, 610, 3160, 547, 1079, 269, 1280, 782, 5072, 267, 649, 666, 1491, 519, 32671, 3597, 540, 4642, 543, 621, 11224, 4642, 543, 519, 32671, 3597, 540, 835, 11224, 835, 780, 3383, 602, 568, 3020, 585, 782, 2418, 540, 562, 269, 2353, 5072, 8190, 519, 1931, 540, 16526, 269, 1924, 952, 649, 723, 1614, 2338, 538, 513, 4737, 267, 607, 1279, 607, 789, 2461, 2318, 2338, 267, 649, 1491, 519, 267, 519, 5072, 540, 873, 267, 607, 1279, 607, 621, 779, 519, 1482, 3597, 649, 2461, 2921, 540, 1142, 1297, 267, 1287, 789, 2611, 538, 602, 1482, 1931, 540, 8635, 269, 1280, 1383, 267, 15475, 649, 1185, 547, 7447, 519, 8772, 3597, 540, 476, 2004, 780, 11039, 267, 649, 8910, 1616, 547, 12398, 621, 1063, 1079, 8772, 7060, 269, 4270, 267, 1079, 547, 519, 8772, 649, 917, 568, 476, 1626, 269, 8422, 547, 519, 8772, 568, 476, 10037, 269, 1924, 267, 1317, 476, 2004, 568, 1063, 476, 1626, 543, 476, 10037, 649, 666, 1491, 519, 8772, 3597, 540, 782, 540, 1346, 267, 543, 649, 1294, 602, 519, 8772, 3597, 540, 476, 2004, 1131, 723, 547, 581, 513, 8918, 12341, 1063, 1079, 543, 1614, 780, 3383, 267, 519, 1449, 568, 711, 2469, 547, 2503, 596, 547, 798, 4376, 811, 16681, 609, 4466, 519, 8772, 3597, 540, 476, 2004, 267, 855, 607, 1279, 607, 596, 666, 4137, 856, 799, 1079, 9981, 621, 779, 1063, 267, 602, 568, 5386, 269, 1284, 666, 849, 5635, 519, 2450, 540, 1114, 1931, 5072, 269, 1924, 585, 513, 1297, 3152, 982, 835, 267, 519, 2362, 519, 3597, 267, 519, 4130, 519, 4890, 1297, 780, 3383, 519, 32671, 3597, 568, 513, 2362, 1931, 3597, 982, 519, 544, 628, 3597, 267, 543, 519, 32671, 3597, 568, 4130, 269, 1924, 1577, 779, 1589, 827, 713, 269, 14597, 649, 2461, 2921, 1114, 5072, 540, 476, 866, 269, 4270, 540, 1576, 519, 4009, 3597, 540, 476, 866, 814, 547, 581, 4130, 982, 476, 866, 269, 3767, 519, 13306, 3597, 540, 476, 866, 814, 547, 581, 1256, 4130, 1317, 621, 1152, 3217, 1079, 540, 519, 4009, 3597, 267, 649, 9062, 1079, 540, 519, 4009, 5072, 1927, 267, 649, 1205, 476, 866, 780, 2171, 8910, 723, 547, 9062, 1614, 540, 519, 13306, 5072, 1927, 547, 1205, 476, 866, 269, 1656, 1287, 649, 8831, 713, 7954, 267, 1134, 519, 8772, 3597, 814, 547, 581, 1256, 4130, 1317, 594, 8910, 723, 547, 9062, 2185, 540, 873, 547, 1205, 476, 866, 269, 594, 8910, 723, 547, 9062, 2947, 540, 891, 267, 610, 3670, 540, 891, 543, 865, 8521, 269, 1924, 621, 1797, 602, 607, 649, 1205, 2362, 543, 2362, 1931, 5072, 267, 782, 540, 891, 2338, 1205, 4130, 267, 855, 789, 2461, 2141, 3677, 982, 835, 780, 3086, 621, 1590, 581, 3020, 267, 1256, 952, 649, 666, 1406, 4137, 856, 1018, 519, 17447, 616, 267, 621, 11613, 1590, 581, 3020, 602, 519, 476, 1789, 628, 3597, 540, 476, 866, 568, 1447, 982, 519, 476, 736, 628, 3597, 540, 476, 866, 269, 1924, 538, 824, 1913, 267, 649, 1058, 581, 2111, 547, 1118, 602, 6476, 267, 1256, 1498, 649, 666, 1406, 4137, 856, 519, 3169, 2418, 540, 1346, 17447, 269, 3767, 950, 649, 1205, 883, 602, 3148, 1063, 835, 267, 4642, 543, 835, 267, 1287, 1919, 1205, 513, 2370, 3787, 1114, 780, 4517, 596, 949, 3314, 1919, 941, 1114, 1934, 269, 3689, 540, 782, 267, 649, 1491, 513, 3597, 269, 634, 1297, 267, 519, 5072, 616, 8273, 982, 536, 267, 14322, 602, 536, 568, 713, 6824, 1063, 4642, 543, 835, 269, 1656, 519, 2362, 519, 1931, 519, 3597, 267, 519, 2362, 621, 4991, 269, 1924, 562, 568, 513, 2362, 1931, 3597, 780, 2005, 779, 2362, 267, 519, 32671, 3597, 540, 536, 568, 2362, 982, 519, 544, 628, 3597, 540, 536, 269, 1924, 15475, 649, 2461, 2921, 1114, 5072, 267, 2161, 267, 540, 1079, 1922, 604, 2195, 269, 4270, 267, 1079, 1922, 604, 2195, 568, 1447, 982, 519, 4009, 3597, 540, 1079, 1922, 604, 2195, 269, 901, 568, 2469, 547, 581, 1447, 982, 519, 13306, 3597, 267, 799, 568, 1447, 982, 519, 8772, 3597, 267, 543, 865, 8521, 780, 2171, 3136, 713, 4806, 269, 898, 7140, 856, 602, 782, 891, 5072, 2611, 1447, 982, 835, 269, 1924, 789, 1205, 8273, 543, 8273, 543, 8273, 267, 855, 789, 2760, 1205, 607, 2462, 607, 835, 269, 1656, 713, 4806, 5170, 609, 782, 2362, 1931, 540, 5072, 269, 1924, 1256, 952, 649, 1185, 547, 5635, 1079, 1360, 1164, 5072, 649, 1223, 2161, 585, 1383, 649, 8910, 917, 602, 519, 267, 519, 476, 2004, 628, 3597, 540, 1079, 1922, 604, 2195, 602, 814, 547, 581, 3152, 982, 1079, 1922, 604, 2195, 267, 855, 621, 814, 547, 581, 1447, 982, 519, 476, 4037, 628, 3597, 540, 1079, 1922, 604, 2195, 780, 4517, 519, 476, 4037, 628, 3597, 540, 1079, 1922, 604, 2195, 1869, 814, 547, 581, 1447, 982, 835, 269, 1924, 649, 1058, 1869, 581, 2111, 547, 4137, 856, 1141, 891, 2185, 2474, 2887, 538, 606, 8635, 1256, 1498, 649, 666, 1406, 4137, 856, 519, 3169, 8918, 2418, 540, 1346, 5072, 269, 2290, 1259, 547, 17412, 713, 267, 649, 1223, 2161, 267, 519, 2362, 519, 1931, 540, 519, 3597, 267, 519, 6251, 519, 1267, 568, 547, 835, 780, 6546, 568, 267, 609, 2338, 8273, 982, 835, 267, 2921, 2362, 1931, 5072, 267, 1118, 621, 4130, 543, 4130, 267, 543, 1847, 621, 6251, 547, 835, 269, 14171, 3597, 540, 2338, 1063, 4642, 543, 835, 2306, 621, 8273, 267, 543, 789, 1847, 909, 6251, 543, 6251, 547, 835, 269, 1924, 713, 568, 519, 4806, 269, 18421, 4991, 6251, 547, 835, 780, 4517, 835, 540, 519, 4128, 585, 602, 267, 540, 1576, 267, 568, 602, 649, 666, 1491, 1022, 3597, 540, 835, 543, 621, 11224, 835, 269, 1452, 3601, 616, 10355, 7318, 543, 1152, 593, 519, 23698, 10829, 2042, 593, 519, 1449, 269, 1924, 2899, 1586, 267, 713, 568, 711, 1945, 596, 2461, 27613, 1294, 1169, 942, 596, 1694, 1524, 585, 519, 1449, 780, 4322, 616, 1360, 4686, 2042, 269, 769, 5758, 267, 7429, 609, 4009, 5072, 267, 649, 666, 1491, 13306, 5072, 540, 1312, 2318, 543, 2258, 2510, 269, 2334, 779, 513, 2462, 2856, 269, 769, 1249, 267, 649, 666, 1491, 1022, 1256, 3597, 540, 1064, 14476, 1152, 267, 711, 2258, 2510, 267, 855, 649, 666, 1491, 1022, 9642, 3597, 540, 1022, 1297, 593, 519, 1297, 1899, 780, 6546, 779, 849, 513, 2731, 2462, 2856, 269, 7102, 3597, 540, 835, 11224, 835, 267, 1022, 3597, 540, 4642, 11224, 4642, 269, 2353, 5072, 8190, 519, 1931, 540, 16526, 267, 14322, 782, 519, 2338, 616, 2318, 269, 1656, 519, 2362, 519, 1931, 540, 513, 3597, 267, 519, 6251, 519, 1267, 568, 547, 835, 269, 1924, 1586, 267, 519, 2338, 3677, 982, 835, 267, 950, 649, 1491, 5072, 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 ]
[ 26169, 1081, 540, 1899, 2016, 476, 273, 2798, 901, 3340, 1079, 6378, 2798, 593, 519, 1899, 267, 589, 26998, 645, 609, 2990, 10321, 26998, 536, 6606, 26998, 623, 1252, 331, 1448, 593, 519, 1899, 609, 2990, 6152, 678, 269, 3371, 519, 2007, 3944, 568, 281, 589, 6673, 20525, 29314, 678, 678, 623, 1809, 6673, 815, 512, 263, 777, 264, 26998, 9474, 28267, 29314, 536, 269, 9747, 678, 533, 815, 512, 630, 321, 910, 3738, 901, 524, 333, 581, 556, 31014, 978, 539, 883, 744, 536, 645, 678, 815, 533, 1341, 512, 630, 321, 910, 3738, 8074, 555, 339, 952, 512, 815, 476, 271, 267, 1287, 678, 1401, 332, 921, 26998, 952, 512, 815, 267, 1287, 678, 536, 4855, 519, 552, 336, 1081, 540, 519, 1899, 799, 533, 1087, 525, 998, 519, 2798, 630, 273, 267, 276, 1070, 536, 630, 275, 267, 280, 1040, 15240, 3482, 519, 2798, 883, 519, 1106, 592, 678, 815, 533, 1341, 512, 630, 321, 910, 3738, 678, 815, 630, 273, 267, 276, 264, 1341, 512, 9230, 275, 267, 280, 264, 630, 273, 267, 276, 4297, 1287, 1685, 519, 5705, 337, 794, 281, 678, 815, 630, 273, 267, 276, 264, 1341, 512, 263, 273, 267, 275, 264, 815, 630, 273, 1341, 476, 273, 339, 267, 476, 276, 1341, 476, 275, 339, 264, 11644, 476, 276, 4855, 519, 552, 336, 1081, 540, 519, 1899, 799, 533, 1087, 525, 998, 519, 2798, 630, 275, 267, 476, 273, 1070, 536, 630, 274, 267, 280, 264, 476, 273, 4855, 519, 552, 336, 1081, 540, 519, 1899, 799, 533, 1087, 525, 998, 519, 2798, 630, 267, 277, 1070, 536, 630, 279, 267, 476, 274, 264, 26169, 1081, 540, 726, 928, 634, 552, 336, 1081, 540, 726, 928, 3340, 519, 946, 540, 2343, 331, 6152, 269, 9717, 519, 2990, 6152, 540, 1448, 593, 519, 726, 928, 26998, 6152, 562, 799, 568, 2343, 331, 547, 519, 726, 928, 267, 519, 552, 336, 1081, 540, 726, 928, 568, 281, 562, 678, 562, 562, 610, 538, 853, 526, 6113, 4813, 678, 562, 815, 546, 1141, 678, 630, 1535, 267, 586, 267, 1990, 1040, 1775, 4318, 269, 678, 568, 1252, 331, 630, 684, 4385, 264, 1448, 593, 519, 726, 928, 26998, 519, 12297, 568, 519, 521, 743, 337, 1587, 269, 476, 275, 692, 277, 769, 1931, 547, 1073, 339, 514, 519, 6152, 552, 336, 1081, 540, 726, 928, 267, 960, 856, 519, 1318, 554, 526, 2427, 630, 305, 9391, 264, 26998, 682, 557, 519, 2451, 19157, 269, 769, 1931, 547, 1073, 339, 514, 519, 595, 4135, 525, 514, 552, 336, 1081, 540, 726, 928, 267, 960, 856, 1312, 5011, 269, 1401, 332, 921, 4855, 519, 552, 336, 1081, 540, 519, 726, 928, 998, 630, 267, 476, 278, 267, 476, 274, 264, 609, 2343, 331, 476, 273, 476, 279, 3689, 267, 12990, 519, 642, 331, 1132, 883, 519, 1106, 592, 281, 678, 630, 476, 273, 267, 476, 279, 267, 3738, 630, 267, 476, 278, 267, 476, 274, 264, 630, 476, 273, 267, 476, 279, 267, 3738, 562, 630, 23463, 15426, 1677, 1205, 519, 6152, 552, 336, 1081, 267, 1685, 519, 12297, 1587, 593, 519, 681, 9391, 281, 678, 630, 476, 273, 267, 476, 279, 267, 3738, 476, 276, 269, 1677, 1205, 519, 595, 4135, 525, 514, 1106, 267, 561, 810, 960, 856, 519, 700, 9391, 281, 630, 1535, 267, 586, 267, 1990, 264, 630, 476, 273, 267, 476, 279, 267, 3738, 476, 276, 476, 273, 343, 476, 279, 344, 1990, 476, 276, 11644, 476, 277, 4855, 519, 6152, 26998, 595, 4135, 525, 514, 552, 336, 1903, 540, 519, 1739, 726, 5886, 281, 3738, 2552, 1456, 519, 1448, 630, 267, 476, 273, 267, 476, 276, 264, 26998, 609, 2343, 331, 562, 630, 476, 273, 267, 476, 275, 267, 476, 277, 264, 6902, 536, 264, 2552, 1456, 519, 1448, 630, 476, 274, 267, 476, 273, 267, 476, 275, 264, 26998, 609, 2343, 331, 562, 630, 267, 476, 277, 267, 476, 273, 264, 28249, 540, 1079, 3515, 476, 275, 269, 3955, 21827, 540, 3515, 26998, 726, 5886, 9717, 519, 552, 336, 1903, 540, 476, 273, 3515, 267, 678, 524, 267, 678, 476, 273, 536, 546, 267, 519, 3515, 12969, 952, 596, 524, 333, 1265, 642, 331, 1132, 267, 971, 555, 339, 678, 678, 476, 273, 269, 1280, 608, 332, 921, 267, 678, 630, 267, 276, 267, 476, 275, 264, 630, 275, 267, 476, 273, 267, 274, 1070, 678, 630, 277, 267, 278, 267, 3738, 630, 274, 267, 476, 273, 267, 264, 5590, 519, 552, 336, 1903, 552, 336, 592, 547, 20192, 824, 267, 865, 630, 267, 276, 267, 476, 275, 264, 630, 275, 267, 476, 273, 267, 274, 264, 630, 277, 267, 278, 267, 3738, 630, 274, 267, 476, 273, 267, 264, 28799, 519, 1079, 10321, 711, 5473, 610, 2433, 630, 275, 267, 476, 273, 267, 274, 264, 630, 276, 267, 476, 273, 267, 476, 276, 264, 630, 274, 267, 476, 273, 267, 1040, 590, 5902, 883, 3334, 538, 1931, 547, 1205, 476, 274, 1138, 738, 928, 748, 552, 336, 1903, 281, 476, 275, 476, 7871, 267, 476, 273, 476, 273, 476, 273, 267, 476, 274, 476, 276, 16534, 547, 1265, 26998, 269, 769, 713, 608, 332, 921, 476, 273, 26998, 269, 1677, 1265, 519, 1448, 1141, 519, 3515, 3444, 267, 12990, 519, 642, 331, 826, 540, 610, 883, 519, 552, 336, 1081, 585, 835, 540, 519, 3515, 269, 3371, 267, 2655, 23082, 883, 519, 1101, 552, 336, 1081, 3947, 630, 267, 276, 267, 476, 275, 264, 630, 275, 267, 476, 273, 267, 274, 264, 630, 267, 276, 267, 476, 275, 264, 476, 273, 263, 275, 267, 476, 273, 267, 274, 264, 630, 267, 276, 267, 476, 275, 264, 630, 279, 267, 476, 275, 267, 476, 277, 264, 630, 280, 267, 280, 267, 271, 264, 1411, 1058, 561, 342, 903, 2638, 713, 1267, 609, 519, 824, 552, 336, 1081, 547, 2327, 621, 568, 2953, 269, 476, 276, 692, 278, 28249, 540, 1079, 726, 5886, 9717, 519, 2343, 3149, 630, 562, 26998, 562, 476, 273, 3738, 547, 519, 1079, 726, 5886, 267, 519, 1899, 540, 10167, 540, 519, 1079, 726, 5886, 524, 333, 581, 1336, 689, 281, 678, 524, 562, 1141, 562, 562, 562, 273, 26998, 524, 568, 1448, 1455, 547, 1312, 726, 5886, 269, 1403, 596, 556, 2016, 519, 595, 4135, 525, 514, 3029, 540, 519, 726, 5886, 267, 1287, 596, 524, 333, 1265, 519, 2343, 331, 547, 519, 726, 928, 676, 512, 6362, 519, 14170, 540, 1535, 267, 586, 267, 26998, 1990, 269, 1280, 608, 332, 921, 267, 519, 2343, 331, 547, 1535, 476, 274, 344, 476, 275, 345, 476, 2190, 568, 630, 267, 476, 274, 267, 476, 275, 1040, 1401, 332, 921, 4855, 519, 552, 336, 1081, 540, 519, 1899, 540, 10167, 540, 519, 726, 5886, 281, 678, 630, 476, 273, 267, 476, 275, 267, 3738, 476, 275, 267, 678, 630, 267, 476, 273, 267, 476, 276, 264, 476, 276, 476, 273, 3371, 649, 554, 557, 562, 630, 476, 273, 267, 476, 275, 267, 3738, 26998, 562, 273, 630, 267, 476, 273, 267, 476, 276, 264, 1775, 24994, 476, 24994, 329, 737, 24994, 630, 3738, 630, 3738, 476, 24994, 630, 3738, 630, 3738, 562, 562, 1775, 476, 273, 476, 276, 476, 24994, 329, 476, 273, 476, 276, 630, 476, 273, 476, 273, 264, 630, 476, 275, 3738, 737, 24994, 476, 2420, 1775, 24994, 476, 280, 476, 24994, 795, 476, 279, 330, 24994, 865, 562, 630, 476, 2420, 267, 476, 280, 267, 476, 279, 264, 3767, 649, 991, 1448, 1455, 547, 1312, 726, 5886, 269, 634, 14724, 530, 344, 547, 798, 713, 568, 547, 2119, 4259, 1990, 476, 271, 269, 901, 544, 839, 555, 339, 649, 1152, 991, 1642, 609, 476, 273, 552, 336, 1903, 538, 476, 273, 26968, 985, 269, 1677, 1265, 519, 1455, 1448, 267, 1305, 1990, 476, 271, 538, 519, 595, 4135, 525, 514, 552, 336, 1903, 540, 519, 726, 5886, 269, 901, 3947, 476, 273, 343, 275, 344, 476, 275, 26998, 1535, 273, 344, 476, 276, 269, 14572, 891, 1138, 738, 928, 748, 552, 336, 1903, 3947, 1535, 476, 277, 267, 476, 273, 586, 269, 9747, 524, 630, 476, 277, 23463, 476, 271, 264, 26998, 519, 552, 336, 1081, 540, 519, 1899, 540, 10167, 568, 281, 476, 273, 678, 630, 476, 277, 23463, 476, 271, 264, 630, 476, 2420, 267, 476, 280, 267, 476, 279, 1040, 476, 273, 11644, 476, 278, 4855, 519, 552, 336, 1081, 540, 519, 1899, 540, 10167, 585, 519, 726, 5886, 281, 3738, 678, 630, 476, 277, 267, 476, 274, 267, 476, 275, 264, 476, 273, 267, 678, 476, 273, 630, 476, 273, 267, 476, 274, 267, 3738, 476, 275, 536, 264, 476, 273, 343, 476, 275, 344, 476, 274, 345, 476, 275, 267, 1535, 476, 273, 344, 476, 275, 345, 476, 274, 476, 277, 692, 279, 12226, 547, 20113, 11644, 3738, 476, 24994, 630, 267, 277, 267, 273, 264, 536, 264, 476, 24994, 536, 630, 274, 267, 476, 273, 267, 264, 524, 264, 524, 24994, 630, 276, 267, 280, 267, 476, 274, 264, 11644, 476, 273, 3738, 11196, 279, 267, 476, 277, 264, 610, 630, 279, 267, 910, 277, 264, 536, 264, 630, 273, 267, 2537, 264, 610, 11196, 273, 267, 910, 2537, 264, 524, 264, 11196, 32579, 267, 476, 9032, 264, 610, 630, 32579, 267, 910, 9032, 264, 476, 273, 3738, 630, 274, 267, 910, 1789, 267, 476, 273, 264, 610, 11196, 274, 267, 476, 1789, 267, 910, 273, 264, 536, 264, 630, 274, 267, 910, 267, 910, 275, 264, 610, 11196, 274, 23463, 476, 275, 264, 524, 264, 11196, 2190, 267, 476, 277, 267, 910, 4510, 264, 610, 630, 2190, 267, 910, 277, 267, 476, 4510, 264, 11644, 476, 274, 3738, 630, 274, 267, 277, 264, 476, 274, 263, 267, 271, 264, 476, 277, 263, 271, 267, 264, 536, 264, 630, 274, 267, 277, 264, 476, 277, 263, 273, 267, 264, 476, 280, 263, 267, 271, 264, 11644, 476, 275, 1627, 269, 678, 630, 273, 267, 277, 264, 630, 276, 267, 273, 264, 1226, 643, 331, 1836, 678, 630, 273, 476, 276, 267, 277, 476, 273, 3738, 1627, 273, 269, 678, 630, 274, 267, 278, 264, 630, 267, 277, 264, 1226, 643, 331, 1836, 678, 630, 274, 267, 278, 476, 277, 3738, 11644, 476, 276, 1627, 269, 678, 630, 275, 267, 476, 273, 264, 630, 267, 264, 1226, 643, 331, 1836, 678, 630, 275, 267, 476, 273, 3738, 1627, 273, 269, 678, 630, 267, 277, 264, 630, 278, 267, 476, 280, 264, 1226, 643, 331, 1836, 678, 630, 476, 278, 267, 277, 476, 280, 3738, 11644, 476, 277, 3738, 678, 630, 476, 273, 267, 476, 275, 267, 476, 277, 264, 476, 2190, 267, 476, 273, 343, 476, 275, 344, 476, 277, 345, 476, 2190, 536, 264, 678, 630, 267, 476, 277, 267, 476, 273, 1070, 1535, 476, 277, 344, 476, 273, 345, 11644, 476, 278, 3738, 678, 630, 267, 476, 273, 267, 476, 271, 264, 630, 476, 280, 267, 476, 275, 267, 476, 2190, 264, 536, 264, 678, 630, 476, 276, 23463, 476, 271, 264, 630, 476, 271, 23463, 476, 279, 264, 1452, 5751, 941, 512, 5287, 689, 24398, 1335, 9455, 6096, 5169, 331, 569, 1212, 1540, 676, 5530, 31876, 6796, 512, 670, 1638, 2160, 269, 5680, 281, 2506, 559, 281, 631, 5500, 555, 333, 802, 585, 946, 540, 891, 544, 614, 2812, 269, 7102, 8292, 524, 333, 581, 2366, 547, 519, 900, 559, 536, 913, 610, 547, 476, 278, 692, 2162, 9119, 269, 966, 26662, 269, 554, 338, 333, 16896, 14492, 269, 14451, 269, 12937, 269, 966, 26662, 476, 12553, 15101, 301, 23211, 876, 692, 26387, 333, 16896, 14492, 14451, 24398, 1335, 9455, 6167, 3951, 476, 274, 744, 7473, 4596, 10933, 476, 272, 966, 26662, 12937, 966, 26662, 476, 1240, 476, 272, 966, 26662, 26998, 590, 743, 3464, 476, 1240, 22020, 476, 1240, 476, 274, 631, 3913, 3363, 476, 9873, 476, 275, 26169, 592, 966, 26662, 476, 14530, 476, 276, 18827, 26998, 4427, 13700, 794, 540, 966, 26662, 476, 1724, 476, 277, 11638, 680, 2109, 676, 692, 2162, 476, 280, 269, 274, 269, 634, 2480, 531, 541, 8605, 269, 4985, 269, 2776, 7528, 28987, 269, 4804, 27159, 692, 763, 590, 743, 337, 8605, 476, 280, 269, 274, 4985, 1703, 556, 1079, 5686, 540, 12750, 2109, 5473, 10321, 269, 634, 1101, 568, 1634, 521, 519, 521, 743, 337, 1587, 610, 12297, 1587, 269, 901, 568, 865, 12641 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1892, 12361, 9664, 692, 27342, 593, 19577, 602, 18972, 3657, 1109, 292, 12858, 2507, 19375, 593, 25655, 19045, 2725, 1115, 25655, 2507, 27205, 593, 5590, 10789, 281, 589, 16797, 13129, 2507, 32423, 593, 19577, 602, 18972, 3657, 1109, 292, 12858, 2507, 21634, 545, 529, 593, 25655, 19045, 2725, 1115, 25655, 2507, 692, 1012, 24935, 540, 5590, 1109, 763, 800, 692, 3383, 267, 1247, 594, 22466, 594, 1131, 2911, 513, 2370, 827, 595, 20975, 267, 2094, 649, 1175, 1185, 938, 5590, 7869, 3803, 11929, 630, 306, 2967, 329, 543, 594, 1070, 594, 2219, 5310, 513, 2370, 4901, 540, 713, 1131, 581, 538, 1931, 2507, 1280, 326, 633, 519, 5309, 780, 29012, 267, 1247, 519, 9238, 540, 1305, 3069, 941, 4988, 607, 2141, 281, 3168, 693, 5036, 282, 741, 9769, 543, 10167, 282, 2472, 540, 5036, 282, 543, 865, 8521, 267, 649, 849, 4988, 10288, 5036, 269, 1879, 1931, 568, 1951, 13949, 883, 519, 4605, 267, 649, 1376, 547, 1205, 513, 2603, 540, 4277, 2093, 602, 1246, 780, 3080, 1360, 2067, 1259, 540, 10962, 1931, 568, 547, 1413, 693, 519, 19280, 540, 5036, 676, 10014, 269, 10705, 267, 950, 835, 21437, 2507, 519, 2067, 2338, 267, 2161, 267, 835, 21437, 873, 607, 5036, 540, 5036, 630, 1993, 5036, 540, 5036, 267, 1498, 2356, 711, 740, 1102, 8181, 636, 1107, 538, 24936, 11703, 1305, 3069, 267, 519, 10421, 602, 971, 11800, 581, 13113, 4667, 547, 2097, 909, 513, 2603, 630, 2288, 711, 2141, 1040, 1924, 649, 666, 5612, 1413, 693, 606, 19280, 540, 938, 4070, 676, 2436, 610, 711, 835, 3364, 568, 513, 15410, 540, 1776, 780, 763, 19280, 676, 10014, 666, 849, 581, 1031, 609, 5036, 602, 616, 6382, 10288, 547, 1397, 835, 3364, 610, 1776, 2507, 2290, 1383, 568, 547, 1397, 602, 1169, 13148, 10288, 1305, 799, 568, 711, 3294, 513, 5832, 3568, 630, 520, 2547, 264, 1079, 31062, 11800, 269, 1677, 1397, 519, 6228, 540, 519, 1101, 835, 267, 649, 1413, 693, 519, 4015, 540, 782, 11800, 1369, 519, 1305, 543, 1931, 621, 676, 10014, 269, 901, 3947, 721, 513, 24775, 538, 799, 1169, 5832, 2507, 3371, 649, 991, 547, 581, 6297, 799, 11800, 649, 616, 6158, 827, 1107, 711, 519, 11800, 689, 519, 3312, 1305, 267, 855, 11800, 538, 519, 10288, 1305, 4171, 2609, 616, 782, 11800, 538, 519, 1101, 1305, 630, 327, 2100, 2685, 602, 568, 2312, 2507, 1040, 1306, 594, 729, 6031, 267, 513, 24775, 538, 799, 1169, 5832, 814, 606, 5580, 3808, 1107, 799, 676, 2098, 1941, 779, 19748, 2742, 1797, 519, 4015, 540, 11800, 630, 1492, 24775, 799, 649, 616, 6158, 827, 264, 814, 513, 31062, 3693, 2439, 296, 3580, 4734, 609, 513, 751, 6471, 1586, 268, 538, 1250, 1985, 2022, 594, 3580, 9096, 519, 6169, 543, 1397, 689, 1141, 519, 2034, 31062, 5832, 2501, 2439, 16591, 3781, 2439, 293, 601, 545, 529, 0, 8340, 519, 12045, 540, 21762, 630, 15383, 11924, 273, 15383, 317, 273, 24210, 268, 273, 344, 2496, 1892, 4855, 519, 12045, 540, 21762, 630, 15383, 11924, 273, 15383, 317, 273, 24210, 268, 273, 344, 2496, 265, 1692, 547, 4855, 14216, 29719, 10085, 7933, 343, 1210, 29313, 299, 2975, 3951, 3267, 1215, 798, 594, 1265, 519, 2034, 1931, 12045, 540, 519, 3830, 568, 21762, 3287, 344, 264, 815, 476, 275, 343, 266, 273, 344, 317, 273, 454, 31339, 281, 476, 6924, 4939, 454, 7445, 6912, 346, 347, 15383, 347, 348, 815, 476, 272, 259, 28055, 532, 547, 1265, 519, 12045, 3947, 803, 1422, 2765, 1321, 3287, 344, 264, 13064, 272, 270, 273, 4153, 3847, 3287, 21702, 3267, 855, 594, 1616, 547, 1174, 875, 519, 12045, 540, 1422, 7445, 6912, 2715, 15383, 454, 31339, 281, 476, 4792, 4939, 692, 5415, 2200, 692, 306, 5357, 308, 16739, 9046, 476, 272, 269, 4855, 519, 2565, 2798, 540, 519, 1599, 535, 3287, 282, 344, 264, 3267, 8827, 281, 3487, 658, 16755, 535, 1535, 815, 476, 277, 343, 273, 476, 277, 15383, 476, 2190, 343, 282, 325, 454, 31339, 281, 476, 6924, 4939, 454, 12585, 476, 272, 1403, 596, 1616, 519, 9864, 16755, 540, 535, 3287, 11971, 6661, 7562, 3287, 3267, 519, 519, 2626, 568, 281, 546, 14370, 11459, 7565, 7562, 3287, 317, 273, 344, 317, 273, 4297, 17342, 273, 15383, 317, 273, 266, 273, 343, 317, 273, 344, 630, 11276, 19422, 11459, 13580, 6523, 3287, 317, 273, 344, 317, 273, 264, 4855, 713, 4429, 31339, 281, 476, 8287, 4939, 454, 1862, 16362, 8891, 324, 13595, 281, 1234, 281, 1955, 14032, 7756, 2747, 1411, 6999, 547, 1265, 3267, 1809, 713, 3085, 1405, 1611, 602, 649, 666, 1405, 1265, 16755, 3267, 476, 273, 590, 5720, 20572, 3917, 316, 15848, 476, 273, 3267, 0, 258, 1975, 1877, 12902, 1524, 513, 19856, 692, 1892, 661, 1846, 667, 7398, 454, 1103, 5758, 267, 519, 1966, 3322, 513, 476, 273, 11899, 17860, 20085, 7387, 12902, 1510, 1793, 6235, 1524, 513, 476, 4343, 4110, 9386, 269, 634, 4305, 568, 547, 1265, 519, 10231, 267, 11508, 3196, 267, 543, 5934, 11664, 540, 11508, 2838, 547, 2061, 1793, 6235, 269, 634, 4834, 1031, 616, 544, 724, 543, 661, 284, 272, 270, 273, 332, 341, 317, 273, 284, 272, 270, 273, 296, 342, 317, 273, 267, 543, 519, 8904, 2488, 513, 18165, 540, 8406, 265, 6523, 263, 4343, 1040, 670, 6493, 616, 2016, 547, 948, 4194, 519, 1966, 267, 971, 607, 1603, 606, 3830, 585, 519, 1648, 540, 519, 1843, 543, 8159, 519, 18165, 602, 3123, 10047, 269, 898, 568, 849, 1271, 547, 2015, 2436, 10231, 786, 581, 3586, 543, 946, 3606, 4834, 540, 5163, 952, 2556, 780, 1012, 14581, 15048, 692, 288, 17860, 12106, 673, 7387, 20061, 1510, 1793, 6235, 1524, 513, 476, 4343, 4110, 9386, 267, 2527, 476, 273, 11899, 267, 1265, 519, 10231, 519, 11508, 3196, 543, 519, 5934, 8107, 1553, 550, 540, 11508, 2877, 547, 2061, 1793, 6235, 692, 1012, 14581, 12307, 692, 332, 724, 267, 661, 284, 272, 270, 273, 332, 341, 317, 273, 284, 272, 270, 273, 296, 342, 317, 273, 692, 1012, 634, 28055, 693, 513, 8827, 692, 328, 1810, 1405, 2731, 917, 1141, 547, 1376, 267, 1775, 917, 4090, 540, 24880, 786, 1860, 875, 3728, 713, 786, 17108, 1813, 547, 8904, 855, 594, 993, 711, 2016, 621, 865, 1775, 1810, 1405, 917, 547, 4194, 621, 267, 23456, 1131, 581, 1390, 5225, 2439, 1492, 8904, 2488, 519, 3440, 609, 513, 18165, 799, 568, 8406, 265, 6523, 263, 4343, 994, 15290, 519, 11508, 568, 2462, 2614, 547, 22599, 856, 519, 7432, 1198, 3361, 676, 519, 18165, 692, 2346, 329, 1767, 912, 1492, 8904, 2488, 519, 3440, 609, 513, 18165, 799, 568, 8406, 265, 6523, 263, 4343, 994, 15290, 519, 11508, 568, 2462, 2614, 547, 22599, 856, 519, 7432, 1198, 3361, 676, 519, 18165, 692, 1692, 666, 713, 581, 513, 18165, 950, 519, 4559, 616, 4636, 2496, 11742, 585, 930, 23456, 269, 3689, 540, 782, 2328, 606, 3830, 1648, 540, 519, 1843, 950, 621, 814, 6410, 606, 17062, 3845, 630, 291, 264, 2059, 519, 9386, 780, 9202, 267, 3313, 519, 18165, 602, 3123, 519, 3440, 547, 17967, 780, 13914, 827, 2436, 10231, 786, 581, 513, 3586, 269, 9122, 593, 707, 3375, 267, 811, 4834, 540, 5163, 1522, 2097, 547, 2247, 780, 2414, 4194, 713, 1966, 267, 649, 666, 946, 519, 1523, 540, 18165, 543, 519, 4834, 540, 5163, 585, 513, 12902, 1843, 269, 634, 4090, 540, 24880, 585, 513, 17860, 20085, 7387, 568, 2016, 676, 594, 815, 476, 273, 270, 274, 332, 337, 317, 273, 267, 1141, 544, 568, 519, 2527, 540, 519, 12106, 543, 678, 568, 922, 8953, 269, 1284, 666, 946, 713, 547, 5173, 519, 16070, 10231, 540, 519, 12106, 607, 621, 20061, 1524, 519, 19856, 780, 763, 18165, 593, 519, 12106, 568, 1813, 547, 519, 3196, 540, 11508, 267, 799, 568, 3160, 547, 519, 11664, 540, 11508, 16611, 676, 519, 3339, 3196, 630, 16936, 6523, 15184, 1040, 634, 3339, 3196, 568, 3160, 547, 519, 2597, 540, 519, 12106, 267, 8406, 267, 16611, 676, 519, 25482, 540, 519, 5086, 540, 519, 9386, 630, 15184, 1040, 1924, 519, 18165, 666, 581, 2854, 607, 13179, 16936, 6523, 317, 273, 15184, 267, 1141, 13179, 568, 519, 11664, 540, 11508, 780, 8794, 519, 3830, 585, 18165, 267, 26018, 815, 594, 10382, 267, 649, 666, 1305, 713, 3160, 547, 519, 18165, 1813, 547, 11508, 543, 4194, 585, 519, 16070, 10231, 267, 14668, 269, 901, 786, 2285, 721, 519, 10231, 540, 519, 12106, 1524, 519, 19856, 780, 2414, 2061, 1793, 6235, 267, 519, 11508, 3196, 1590, 581, 3160, 547, 610, 3152, 982, 519, 5021, 11979, 11508, 3196, 267, 799, 568, 3160, 547, 13179, 338, 301, 267, 1141, 13179, 338, 568, 519, 11664, 540, 11979, 11508, 543, 715, 568, 519, 3339, 3196, 269, 1924, 649, 666, 1305, 519, 18165, 1813, 547, 11508, 3160, 547, 13179, 8243, 326, 6523, 317, 273, 15184, 543, 4194, 585, 519, 5934, 11664, 540, 11979, 11508, 2877, 547, 2061, 1793, 6235, 780, 7661, 267, 547, 1265, 519, 10231, 540, 519, 12106, 1524, 519, 19856, 267, 649, 666, 946, 519, 3830, 540, 5163, 585, 513, 12902, 1843, 267, 513, 815, 14668, 337, 267, 1141, 678, 568, 519, 8953, 540, 519, 12106, 269, 901, 786, 2285, 721, 519, 5276, 10231, 540, 519, 12106, 780, 296, 4126, 713, 2337, 547, 3391, 596, 538, 6061, 713, 1966, 269, 5457, 547, 5402, 2015, 782, 519, 4229, 9117, 593, 519, 12106, 543, 946, 519, 3617, 4834, 547, 4194, 585, 519, 5551, 2418, 780, 1012, 476, 272, 269, 1215, 1281, 519, 4463, 540, 519, 19856, 1860, 519, 3432, 540, 519, 12106, 2496, 763, 4463, 540, 519, 19856, 2047, 5540, 519, 3432, 540, 519, 12106, 269, 1306, 519, 4463, 540, 519, 19856, 4679, 267, 519, 1761, 1648, 540, 519, 12106, 849, 4679, 269, 901, 1797, 602, 519, 12106, 786, 723, 811, 1648, 547, 6460, 883, 15452, 1648, 607, 621, 20061, 1524, 519, 19856, 267, 4611, 538, 513, 2362, 3432, 780, 1012, 476, 273, 269, 1548, 2188, 3310, 519, 10231, 540, 519, 12106, 12902, 1524, 513, 19856, 2496, 763, 10231, 540, 519, 12106, 5673, 593, 1896, 2188, 267, 1519, 519, 5086, 540, 519, 19856, 267, 519, 2527, 540, 519, 12106, 267, 543, 519, 2627, 540, 519, 19856, 269, 589, 588, 2465, 704, 19856, 786, 1267, 538, 513, 2362, 10231, 267, 1247, 513, 23704, 2627, 786, 6175, 11508, 543, 2333, 10231, 269, 634, 2527, 540, 519, 12106, 849, 4249, 513, 1909, 267, 609, 18219, 21384, 7680, 1447, 10231, 1813, 547, 741, 3152, 24880, 780, 1012, 476, 274, 269, 1215, 1281, 519, 8953, 540, 519, 12106, 1860, 922, 3432, 593, 519, 19856, 2496, 763, 8953, 540, 519, 12106, 1281, 711, 723, 513, 1713, 1198, 593, 922, 3432, 593, 519, 19856, 269, 1306, 1279, 607, 519, 2627, 540, 519, 19856, 568, 5347, 543, 519, 12106, 568, 12902, 1510, 1793, 6235, 267, 519, 8953, 786, 711, 1689, 519, 3432, 269, 1717, 267, 513, 3677, 8953, 949, 1267, 538, 513, 3476, 942, 547, 3914, 519, 5377, 540, 519, 19856, 1813, 547, 519, 2799, 3845, 14612, 780, 1012, 476, 275, 269, 1548, 568, 519, 2078, 1063, 519, 3259, 540, 519, 19856, 543, 519, 3845, 519, 12106, 12599, 2496, 763, 3259, 540, 519, 19856, 568, 2047, 14354, 547, 519, 3845, 519, 12106, 12599, 269, 901, 1797, 602, 607, 519, 3259, 540, 519, 19856, 4679, 267, 519, 3845, 519, 12106, 12599, 849, 4679, 269, 901, 568, 1813, 547, 519, 1249, 602, 519, 3476, 519, 19856, 267, 519, 811, 942, 519, 12106, 814, 547, 17108, 543, 3382, 513, 3152, 3845, 780, 1012, 476, 276, 269, 1215, 1281, 519, 2527, 540, 519, 12106, 1860, 922, 3432, 593, 519, 19856, 2496, 763, 2527, 540, 519, 12106, 814, 513, 1463, 1764, 593, 922, 3432, 593, 519, 19856, 269, 1261, 32667, 21384, 723, 811, 24880, 543, 2154, 811, 3196, 547, 17108, 267, 4611, 538, 513, 2539, 3432, 593, 519, 19856, 269, 2201, 519, 824, 1688, 267, 14402, 21384, 786, 17108, 5488, 543, 723, 513, 2362, 3432, 593, 519, 19856, 269, 0, 1892, 15012, 936, 476, 272, 269, 273, 2929, 1053, 1169, 3923, 454, 1892, 24665, 622, 707, 1565, 676, 476, 3066, 14999, 1892, 1133, 15905, 1569, 689, 1175, 11278, 277, 269, 4200, 829, 3923, 692, 258, 23722, 281, 16700, 3250, 10389, 692, 289, 12864, 676, 454, 305, 908, 912, 274, 5182, 266, 630, 272, 994, 17504, 1293, 912, 325, 1168, 518, 982, 476, 1911, 271, 630, 274, 994, 1911, 271, 268, 1960, 280, 630, 278, 994, 1220, 271, 268, 26482, 280, 630, 276, 2020, 25603, 938, 2319, 540, 31369, 3610, 692 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 538, 519, 6777, 282, 909, 4682, 519, 3434, 23041, 543, 15135, 269, 1306, 972, 941, 811, 1004, 982, 15135, 267, 1614, 540, 873, 11739, 696, 538, 513, 10286, 7382, 267, 799, 1185, 1044, 22666, 689, 513, 4630, 652, 1737, 518, 538, 24305, 320, 563, 2691, 519, 6777, 6368, 24268, 267, 519, 5757, 18423, 1164, 585, 2395, 269, 634, 2244, 729, 711, 1018, 789, 1185, 4397, 543, 789, 4956, 789, 4769, 1406, 1616, 547, 3251, 972, 855, 789, 1185, 547, 7227, 856, 519, 1164, 1216, 563, 5445, 10443, 856, 540, 1426, 855, 32139, 1185, 513, 7784, 543, 607, 1279, 607, 1010, 16115, 16768, 646, 729, 2111, 547, 1832, 873, 13859, 609, 31403, 17944, 269, 1879, 519, 16115, 941, 8854, 267, 782, 789, 1185, 729, 7912, 267, 6070, 267, 543, 519, 5144, 689, 519, 16933, 789, 1185, 3144, 609, 873, 269, 645, 4593, 7057, 1500, 689, 519, 31629, 7727, 941, 7168, 2182, 267, 2705, 267, 1310, 513, 1906, 9035, 789, 3893, 1394, 547, 24305, 320, 563, 16031, 269, 14066, 543, 12275, 2284, 8738, 2023, 1287, 3357, 909, 547, 10783, 853, 269, 3627, 547, 1413, 585, 2244, 269, 12275, 2284, 8738, 2023, 12306, 693, 3345, 25882, 543, 16452, 14066, 19429, 593, 2244, 1175, 5087, 540, 10783, 853, 269, 3627, 630, 293, 549, 7999, 3627, 4087, 1040, 1261, 1287, 4682, 1394, 547, 24305, 320, 543, 1336, 513, 1747, 585, 1010, 1920, 547, 2661, 269, 1261, 849, 10519, 539, 2244, 547, 1332, 3049, 585, 1010, 2831, 563, 763, 1920, 8452, 538, 4873, 540, 602, 1032, 269, 769, 3735, 5147, 267, 519, 1920, 24389, 585, 10783, 853, 269, 3627, 538, 519, 4432, 6265, 14520, 269, 589, 1554, 779, 7552, 3576, 873, 689, 24305, 320, 547, 3171, 523, 773, 779, 17547, 4771, 9255, 693, 3162, 13177, 269, 1703, 267, 789, 6170, 519, 3781, 543, 941, 5701, 547, 519, 8289, 540, 519, 667, 6993, 269, 7338, 2848, 5446, 909, 519, 5757, 267, 782, 8279, 26124, 269, 634, 1985, 6640, 1310, 15385, 519, 13458, 5211, 593, 519, 7542, 787, 267, 789, 4682, 593, 547, 10783, 853, 269, 3627, 543, 1336, 25778, 3101, 1657, 3627, 5664, 2023, 779, 4558, 267, 799, 729, 4092, 593, 519, 8492, 540, 12551, 15880, 563, 1607, 729, 267, 540, 1576, 267, 849, 519, 4087, 540, 519, 23747, 779, 7345, 29665, 5403, 693, 602, 942, 267, 865, 789, 941, 2111, 547, 6006, 909, 593, 25411, 1255, 269, 1358, 18423, 693, 5664, 2023, 779, 2394, 4873, 476, 4572, 280, 950, 741, 2845, 2777, 593, 519, 4630, 652, 1737, 729, 4712, 585, 5003, 3599, 563, 1103, 1346, 2395, 267, 972, 729, 1100, 2883, 948, 540, 1022, 2186, 269, 1411, 1705, 519, 1655, 596, 1223, 609, 1018, 596, 1185, 269, 1411, 1223, 1205, 513, 1863, 11863, 547, 1491, 856, 20743, 543, 713, 729, 2944, 547, 1628, 519, 2777, 267, 513, 28561, 267, 543, 11491, 776, 269, 2353, 2361, 960, 729, 2944, 676, 1688, 543, 9640, 941, 1031, 547, 7485, 856, 519, 3529, 588, 7927, 563, 3528, 476, 4350, 271, 267, 972, 941, 476, 1015, 1453, 540, 1153, 2085, 538, 519, 8664, 267, 865, 513, 1153, 729, 3710, 693, 12551, 15880, 269, 634, 2244, 729, 24603, 676, 27050, 13177, 267, 543, 519, 2367, 540, 519, 8664, 3893, 519, 20743, 543, 3710, 519, 1153, 269, 634, 2229, 5795, 519, 2040, 540, 1269, 1220, 547, 4444, 964, 802, 543, 519, 3937, 2877, 269, 1635, 5239, 267, 519, 1153, 8118, 543, 12551, 15880, 3427, 729, 513, 4641, 269, 634, 1101, 4116, 729, 7323, 22526, 24527, 540, 15117, 267, 2663, 917, 607, 11427, 269, 26450, 19264, 13427, 563, 2691, 519, 1453, 538, 519, 5087, 1439, 941, 2025, 2614, 547, 979, 547, 1153, 267, 621, 729, 6410, 547, 513, 811, 3844, 4087, 267, 713, 942, 593, 2244, 24603, 676, 6004, 269, 654, 269, 4173, 1258, 269, 28788, 9410, 6410, 519, 1153, 267, 2921, 621, 1524, 267, 16287, 519, 20743, 267, 543, 8380, 621, 1394, 1927, 1586, 269, 1261, 4607, 1269, 2412, 585, 713, 4305, 269, 634, 32206, 1153, 1185, 513, 28561, 267, 606, 4672, 5264, 585, 6704, 1216, 267, 543, 519, 8912, 1079, 856, 17346, 856, 1394, 269, 634, 1007, 4087, 540, 519, 1153, 729, 811, 31344, 958, 4092, 585, 782, 519, 1453, 602, 1185, 6410, 883, 519, 8664, 267, 543, 729, 4092, 547, 606, 1858, 602, 568, 1631, 1175, 5045, 540, 519, 14522, 23681, 593, 476, 1911, 9335, 563, 5278, 540, 519, 8711, 540, 1346, 1296, 941, 519, 30145, 543, 23929, 4371, 538, 519, 2370, 835, 4055, 1153, 269, 11846, 17963, 941, 4371, 593, 2904, 476, 2190, 543, 5147, 476, 272, 1142, 1032, 693, 519, 1153, 269, 4495, 538, 513, 1247, 267, 2576, 1131, 2097, 547, 519, 1153, 609, 1018, 729, 1572, 513, 968, 17427, 1181, 13472, 892, 630, 1492, 2062, 24507, 1676, 540, 513, 1788, 528, 264, 543, 593, 1346, 1256, 902, 519, 8664, 782, 5828, 856, 563, 9558, 1636, 566, 729, 676, 11739, 662, 538, 5162, 543, 29421, 530, 6782, 538, 4832, 267, 610, 596, 1223, 3802, 610, 11878, 7504, 3724, 256, 10979, 729, 688, 27968, 689, 24898, 8235, 676, 11739, 662, 543, 713, 729, 1031, 585, 6704, 1216, 543, 547, 19068, 4672, 8645, 538, 519, 4832, 269, 634, 4672, 729, 14095, 538, 4718, 706, 560, 538, 513, 2845, 2777, 3710, 2523, 585, 713, 269, 15604, 729, 849, 519, 942, 585, 3478, 856, 6266, 540, 3574, 585, 519, 22865, 543, 3434, 23041, 563, 295, 558, 652, 1737, 532, 538, 519, 3345, 13458, 729, 711, 585, 519, 4617, 540, 2295, 607, 972, 729, 6266, 540, 960, 547, 581, 2944, 267, 855, 6266, 540, 1187, 547, 581, 1185, 1932, 2336, 299, 14019, 27213, 568, 513, 5449, 3595, 8783, 267, 2749, 5646, 322, 650, 528, 267, 543, 15400, 14787, 2713, 538, 10783, 853, 269, 3627, 269, 0, 763, 772, 2529, 269, 12958, 3592, 476, 3199, 2929, 9748, 540, 11183, 3653, 1142, 1032, 267, 2687, 547, 519, 772, 2529, 269, 7025, 10466, 10837, 269, 1879, 2244, 325, 2683, 610, 1651, 10719, 730, 267, 713, 3653, 3542, 2373, 519, 1604, 543, 13514, 1072, 4220, 547, 3425, 543, 7320, 269, 13268, 1645, 568, 849, 519, 1292, 2707, 540, 519, 5068, 5533, 602, 568, 24571, 3101, 519, 5836, 543, 4397, 547, 9765, 519, 2597, 540, 782, 3165, 676, 476, 13078, 271, 693, 1699, 3928, 269, 634, 1426, 2872, 568, 7361, 3743, 585, 713, 3395, 11183, 1966, 563, 10666, 3368, 540, 519, 11183, 3653, 538, 519, 772, 2529, 269, 2501, 689, 1426, 543, 20892, 2472, 269, 1656, 2090, 2303, 602, 1804, 1426, 14078, 899, 29321, 548, 543, 1133, 559, 1853, 5352, 519, 5354, 540, 519, 5068, 3653, 454, 28403, 1944, 713, 3390, 267, 543, 896, 2604, 689, 6800, 267, 1896, 540, 891, 1360, 1482, 14078, 723, 5063, 26823, 3022, 547, 2569, 519, 2825, 1764, 540, 741, 11183, 269, 3509, 4130, 3549, 538, 519, 1426, 543, 20892, 543, 2872, 616, 3257, 519, 1482, 267, 543, 930, 540, 873, 723, 1044, 593, 519, 21282, 540, 11183, 10124, 585, 1296, 269, 5253, 26653, 8711, 476, 1626, 1426, 543, 20892, 3549, 547, 8858, 519, 2872, 781, 1585, 4485, 547, 4264, 11183, 563, 2704, 614, 19889, 1305, 856, 513, 8717, 3516, 547, 1265, 4264, 8925, 547, 519, 1875, 3146, 7094, 762, 8465, 5068, 1031, 585, 741, 10217, 1854, 742, 548, 12109, 13827, 543, 1796, 5346, 533, 13224, 11183, 269, 2991, 1896, 1296, 540, 1382, 543, 1646, 267, 1325, 614, 19889, 5950, 519, 1101, 2479, 22495, 730, 1796, 5346, 533, 13224, 1500, 540, 2030, 2861, 11003, 762, 2326, 585, 741, 844, 29184, 2472, 269, 1280, 519, 1854, 742, 956, 267, 1325, 614, 19889, 1631, 4891, 609, 7186, 325, 2716, 547, 1118, 513, 11003, 762, 12109, 3899, 1500, 540, 552, 32023, 543, 2840, 577, 4054, 609, 18784, 11956, 6106, 602, 2226, 4195, 1145, 269, 634, 11183, 786, 11003, 538, 1753, 543, 4853, 6703, 543, 786, 7686, 1122, 8565, 538, 519, 5836, 269, 1325, 614, 19889, 849, 3096, 1875, 3562, 13877, 13504, 593, 782, 741, 11183, 269, 1280, 10217, 3046, 11183, 267, 1325, 614, 19889, 3096, 11206, 19731, 731, 7027, 630, 12396, 290, 264, 14468, 1957, 4580, 602, 2501, 689, 30396, 7307, 7733, 563, 289, 5308, 306, 5253, 781, 17154, 15988, 797, 13063, 946, 11003, 762, 12109, 13827, 269, 634, 12109, 13827, 616, 1500, 676, 30263, 5183, 269, 30263, 5183, 781, 16885, 1214, 6915, 2861, 11100, 814, 782, 519, 3601, 540, 3339, 5068, 855, 568, 14468, 585, 4853, 543, 1753, 24600, 269, 30263, 5183, 29377, 15808, 3734, 4255, 609, 1142, 6216, 789, 960, 609, 547, 2327, 519, 1482, 15808, 1272, 607, 6671, 11183, 563, 26213, 539, 4826, 568, 14568, 454, 3725, 20608, 14569, 616, 519, 1034, 4264, 1259, 547, 688, 592, 1472, 1216, 269, 1809, 950, 602, 781, 711, 606, 4781, 267, 13340, 539, 4826, 568, 14568, 3091, 513, 811, 13476, 7874, 4244, 547, 5068, 14569, 269, 634, 476, 1911, 2600, 6691, 762, 4216, 568, 476, 4037, 2600, 1957, 269, 634, 1698, 568, 1500, 540, 5068, 267, 543, 519, 1964, 568, 11956, 16298, 269, 634, 11183, 568, 1863, 540, 22680, 2026, 543, 943, 11209, 919, 269, 634, 1957, 2501, 689, 1134, 17907, 3042, 7733, 267, 543, 789, 946, 930, 540, 741, 12434, 585, 9544, 4054, 538, 2127, 4299, 676, 17717, 543, 11642, 269, 634, 10833, 24609, 585, 11288, 547, 6237, 11423, 6753, 267, 4227, 519, 3549, 3327, 11640, 676, 1210, 835, 14903, 585, 1169, 476, 2918, 18114, 2877, 585, 11288, 5068, 14569, 563, 5278, 3549, 1131, 899, 547, 946, 811, 4264, 11183, 855, 1745, 519, 2470, 540, 741, 1587, 2306, 621, 2352, 610, 7543, 609, 2139, 3681, 269, 27822, 6703, 666, 1405, 3398, 519, 8465, 5068, 533, 537, 2583, 6844, 344, 29759, 3096, 585, 741, 1507, 1532, 2255, 4195, 4829, 6986, 525, 269, 20885, 568, 606, 1271, 851, 540, 741, 6216, 267, 855, 519, 3810, 829, 27720, 1587, 2115, 547, 581, 607, 2011, 31259, 607, 2009, 269, 2755, 10478, 585, 513, 811, 4264, 543, 8449, 5150, 4244, 267, 6844, 344, 293, 21209, 814, 24574, 1229, 609, 6833, 571, 290, 19564, 269, 6833, 6483, 2193, 25173, 543, 973, 344, 3380, 2182, 547, 22120, 2472, 543, 2306, 1007, 2326, 543, 2472, 269, 6844, 344, 29759, 5561, 666, 7662, 606, 23508, 689, 6833, 571, 290, 19564, 547, 6928, 2987, 741, 8900, 533, 537, 2583, 269, 3509, 824, 1426, 543, 20892, 3549, 267, 899, 6519, 23516, 3038, 2888, 267, 7649, 609, 6833, 571, 290, 19564, 585, 519, 1482, 4128, 607, 6844, 344, 29759, 563, 290, 601, 17155, 21281, 1281, 711, 946, 12673, 267, 25411, 1255, 267, 543, 1367, 12109, 13827, 585, 922, 7401, 11435, 269, 634, 2754, 3081, 891, 2853, 2061, 476, 274, 269, 276, 2929, 6550, 540, 25087, 1570, 513, 1032, 269, 22966, 17155, 781, 7401, 11435, 616, 11003, 762, 267, 543, 741, 9018, 10833, 616, 1500, 609, 476, 1911, 2600, 13381, 1957, 4580, 563, 10673, 16549, 869, 24334, 454, 15703, 3549, 6133, 6995, 538, 11435, 602, 3409, 547, 581, 11003, 762, 855, 616, 711, 2965, 14468, 585, 24600, 269, 1452, 11435, 946, 1875, 16327, 739, 762, 5068, 2694, 547, 1832, 873, 2011, 31259, 269, 27975, 569, 11003, 762, 11435, 1510, 891, 2694, 616, 849, 2139, 267, 855, 789, 666, 1405, 1832, 519, 6995, 4195, 585, 607, 1279, 269, 589, 7008, 1296, 3516, 267, 29175, 622, 13268, 1645, 5950, 519, 1101, 6995, 9126, 609, 11003, 762, 1990, 26802, 543, 17901, 269, 3767, 8355, 16549, 869, 24334, 568, 835, 540, 519, 1101, 547, 6133, 2472, 538, 891, 14468, 11003, 762, 11435, 563, 9743, 656, 6980, 616, 10375, 538, 2221, 781, 11112, 2486, 267, 855, 789, 946, 6266, 540, 11183, 269, 717, 293, 28610, 3091, 4264, 547, 30559, 4781, 609, 741, 3619, 303, 871, 27046, 22596, 26633, 269, 634, 6691, 762, 26633, 616, 1500, 689, 519, 6715, 571, 293, 2716, 2458, 2355, 1043, 7484, 267, 609, 513, 14461, 9018, 7047, 517, 543, 606, 6418, 561, 10719, 269, 634, 11183, 2501, 6366, 547, 4688, 2230, 269, 1879, 519, 6075, 568, 4712, 547, 3548, 267, 789, 4412, 909, 519, 9018, 4494, 883, 513, 12826, 543, 1039, 3905, 1216, 269, 3619, 303, 2931, 2097, 609, 513, 20386, 1957, 22635, 602, 568, 13148, 1500, 689, 674, 17092, 14468, 1957, 543, 568, 6691, 762, 16382, 6995, 11680, 616, 6691, 762, 563, 1607, 6940, 25700, 586, 8538, 320, 19898, 2754, 568, 7683, 5275, 547, 2569, 741, 11183, 781, 2825, 1764, 269, 898, 814, 1044, 513, 2352, 543, 593, 268, 4707, 1184, 2443, 789, 2697, 11183, 607, 519, 4102, 23784, 547, 741, 2949, 23435, 294, 5434, 269, 20290, 782, 540, 24053, 13403, 781, 11183, 568, 6691, 762, 14569 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4391, 476, 271, 4343, 476, 271, 4375, 476, 31239, 476, 271, 6078, 476, 271, 5655, 476, 271, 6246, 476, 271, 4510, 476, 271, 3393, 476, 271, 5379, 476, 271, 5325, 476, 271, 4366, 476, 4962, 274, 476, 271, 4649, 268, 4962, 278, 321, 269, 311, 303, 11053, 583, 476, 271, 4649, 268, 4962, 278, 321, 269, 311, 303, 11053, 583, 2529, 288, 476, 4962, 277, 476, 4962, 278, 454, 280, 269, 278, 476, 3374, 476, 22650, 476, 22650, 268, 23713, 320, 269, 311, 303, 11053, 583, 476, 22650, 268, 23713, 320, 269, 311, 303, 11053, 583, 2529, 288, 476, 22650, 268, 23713, 321, 269, 311, 303, 11053, 583, 476, 22650, 268, 23713, 321, 269, 311, 303, 11053, 583, 2529, 288, 476, 24879, 476, 25484, 476, 27947, 476, 18733, 476, 25320, 476, 25320, 268, 22903, 320, 269, 311, 303, 11053, 583, 476, 25320, 268, 22903, 320, 269, 311, 303, 11053, 583, 2529, 288, 476, 25320, 268, 22903, 321, 269, 311, 303, 11053, 583, 476, 25320, 268, 22903, 321, 269, 311, 303, 11053, 583, 2529, 288, 476, 25320, 268, 22903, 322, 269, 311, 303, 11053, 583, 476, 25320, 268, 22903, 322, 269, 311, 303, 11053, 583, 2529, 288, 476, 26522, 476, 27888, 476, 30203, 476, 26289, 476, 25171, 476, 22903, 476, 28512, 476, 28873, 476, 271, 2537, 476, 28276, 476, 271, 2918, 476, 271, 2767, 476, 271, 2767, 268, 271, 3953, 320, 269, 311, 303, 11053, 583, 476, 271, 2767, 268, 271, 3953, 320, 269, 311, 303, 11053, 583, 2529, 288, 476, 271, 2764, 476, 271, 3066, 476, 27157, 476, 31648, 476, 271, 3953, 454, 6637, 476, 1015, 281, 966, 26662, 282, 20514, 267, 4643, 525, 267, 543, 2372, 611, 878, 5080, 5865, 538, 6611, 454, 1015, 10611, 476, 2190, 476, 19740, 476, 21916, 476, 22650, 476, 24879, 476, 23669, 476, 25484, 476, 27947, 476, 18089, 476, 18733, 476, 23713, 476, 25320, 476, 26522, 476, 27888, 476, 28318, 476, 26289, 476, 25171, 476, 22903, 476, 28873, 476, 271, 2537, 476, 271, 2190, 476, 271, 2918, 476, 271, 2767, 476, 271, 3066, 476, 271, 3953, 454, 1015, 269, 272, 476, 3607, 476, 23669, 476, 27947, 476, 18733, 476, 25320, 476, 25320, 268, 26289, 320, 269, 311, 303, 11053, 583, 476, 25320, 268, 26289, 320, 269, 311, 303, 11053, 583, 2529, 288, 476, 27888, 476, 30203, 476, 25171, 476, 28512, 476, 271, 2537, 476, 28276, 476, 271, 2767, 476, 271, 3066, 476, 31648, 476, 271, 3953, 476, 271, 3374, 476, 271, 4391, 476, 271, 4375, 476, 271, 4375, 268, 271, 4510, 320, 269, 311, 303, 11053, 583, 476, 271, 4375, 268, 271, 4510, 320, 269, 311, 303, 11053, 583, 2529, 288, 476, 31239, 476, 271, 6078, 476, 271, 5655, 476, 271, 6246, 476, 271, 3393, 476, 271, 5379, 476, 271, 5325, 476, 271, 4366, 476, 271, 5392, 476, 30588, 476, 4962, 272, 476, 4962, 274, 476, 271, 4649, 476, 271, 4649, 268, 4962, 277, 320, 269, 311, 303, 11053, 583, 476, 271, 4649, 268, 4962, 277, 320, 269, 311, 303, 11053, 583, 2529, 288, 454, 1015, 269, 273, 476, 2420, 476, 22650, 476, 24879, 268, 26522, 320, 269, 311, 303, 11053, 583, 476, 24879, 268, 26522, 320, 269, 311, 303, 11053, 583, 2529, 288, 476, 23669, 476, 27947, 476, 18733, 476, 25320, 476, 27888, 476, 28318, 476, 30203, 476, 26289, 476, 25171, 476, 22903, 476, 28512, 476, 28873, 476, 271, 2537, 476, 271, 2537, 268, 271, 2764, 320, 269, 311, 303, 11053, 583, 476, 271, 2537, 268, 271, 2764, 320, 269, 311, 303, 11053, 583, 2529, 288, 476, 271, 2190, 476, 28276, 476, 271, 2918, 476, 271, 2764, 454, 1015, 269, 274, 476, 10019, 476, 27947, 476, 27947, 268, 28318, 320, 269, 311, 303, 11053, 583, 476, 27947, 268, 28318, 320, 269, 311, 303, 11053, 583, 2529, 288, 476, 18089, 476, 18733, 476, 23713, 476, 25320, 476, 26522, 476, 27888, 476, 28318, 476, 30203, 476, 26289, 476, 25171, 476, 22903, 476, 28512, 476, 271, 2537, 476, 271, 2190, 476, 28276, 476, 271, 2918, 476, 271, 2767, 476, 271, 2764, 476, 271, 3066, 476, 31648, 476, 271, 3953, 476, 30033, 476, 271, 3374, 476, 271, 4391, 476, 271, 4343, 476, 271, 4375, 476, 31239, 476, 271, 6078, 476, 271, 5655, 476, 271, 6246, 476, 271, 6246, 268, 4962, 275, 320, 269, 311, 303, 11053, 583, 476, 271, 6246, 268, 4962, 275, 320, 269, 311, 303, 11053, 583, 2529, 288, 476, 271, 3393, 476, 271, 5325, 476, 271, 4366, 476, 271, 5392, 476, 4962, 272, 476, 4962, 274, 476, 271, 4649, 476, 4962, 277, 476, 4962, 278, 476, 4962, 279, 476, 4962, 280, 476, 271, 2568, 476, 6187, 272, 476, 6187, 273, 476, 6187, 274, 476, 271, 4792, 476, 271, 5780, 476, 6187, 278, 476, 6187, 279, 476, 6187, 280, 476, 271, 3583, 476, 5881, 272, 476, 5881, 273, 476, 5881, 274, 476, 5881, 277, 476, 5881, 278, 476, 5881, 278, 268, 5400, 273, 321, 269, 311, 303, 11053, 583, 476, 5881, 278, 268, 5400, 273, 321, 269, 311, 303, 11053, 583, 2529, 288, 476, 5881, 280, 476, 24699, 476, 32146, 476, 5400, 273, 476, 5400, 274, 476, 5400, 276, 476, 5400, 278, 476, 5400, 280, 476, 271, 3445, 476, 6021, 272, 476, 6021, 273, 476, 6021, 274, 476, 6021, 275, 476, 271, 4817, 476, 6021, 277, 476, 6021, 278, 476, 6021, 279, 476, 271, 4200, 476, 9083, 476, 10441, 476, 10755, 454, 1015, 269, 275, 476, 3953, 476, 23669, 476, 23669, 268, 26522, 320, 269, 311, 303, 11053, 583, 476, 23669, 268, 26522, 320, 269, 311, 303, 11053, 583, 2529, 288, 476, 23669, 268, 26522, 321, 269, 311, 303, 11053, 583, 476, 23669, 268, 26522, 321, 269, 311, 303, 11053, 583, 2529, 288, 476, 27947, 476, 18089, 476, 25320, 476, 26289, 476, 25171, 476, 271, 2537, 476, 271, 2190, 476, 271, 2764, 476, 271, 3066, 476, 27157, 476, 30033, 476, 271, 3374, 476, 271, 3607, 476, 271, 4391, 476, 271, 4343, 476, 271, 4375, 476, 31239, 476, 271, 6078, 476, 271, 5655, 476, 271, 6246, 476, 271, 3393, 476, 271, 5379, 476, 30588, 476, 4962, 272, 476, 4962, 274, 476, 271, 4649, 476, 6187, 278, 454, 1015, 269, 276, 476, 3066, 476, 27947, 476, 18733, 476, 23713, 476, 25320, 476, 27888, 476, 25171, 476, 22903, 476, 28512, 476, 28873, 476, 271, 2537, 476, 271, 2537, 268, 271, 3607, 320, 269, 311, 303, 11053, 583, 476, 271, 2537, 268, 271, 3607, 320, 269, 311, 303, 11053, 583, 2529, 288, 476, 28276, 476, 271, 2767, 476, 271, 2764, 476, 271, 3066, 476, 30033, 476, 271, 3374, 476, 271, 4391, 476, 271, 6246, 476, 271, 5325, 476, 271, 5325, 268, 30588, 320, 269, 311, 303, 11053, 583, 476, 271, 5325, 268, 30588, 320, 269, 311, 303, 11053, 583, 2529, 288, 476, 271, 4366, 476, 30588, 476, 4962, 272, 476, 32180, 476, 271, 2568, 476, 271, 5780, 454, 1015, 269, 277, 476, 4097, 476, 27947, 476, 18733, 476, 25320, 476, 27888, 476, 30203, 476, 25171, 476, 28512, 476, 28276, 476, 271, 2767, 476, 31648, 476, 31648, 268, 31239, 320, 269, 311, 303, 11053, 583, 476, 31648, 268, 31239, 320, 269, 311, 303, 11053, 583, 2529, 288, 476, 30033, 476, 271, 3374, 476, 271, 4391, 476, 271, 6078, 476, 271, 5325, 476, 4962, 272, 476, 271, 4649, 476, 4962, 280, 476, 4962, 280, 268, 6187, 273, 320, 269, 311, 303, 11053, 583, 476, 4962, 280, 268, 6187, 273, 320, 269, 311, 303, 11053, 583, 2529, 288, 476, 6187, 274, 476, 6187, 278, 476, 5881, 272, 476, 5881, 278, 476, 271, 4281, 476, 5881, 280, 476, 32146, 476, 5400, 273, 476, 5400, 274, 476, 5400, 275, 476, 5400, 276, 476, 5400, 277, 454, 1015, 269, 278, 476, 2420, 476, 23669, 476, 23669, 268, 26289, 320, 269, 311, 303, 11053, 583, 476, 23669, 268, 26289, 320, 269, 311, 303, 11053, 583, 2529, 288, 476, 25484, 476, 27947, 476, 18089, 476, 23713, 476, 25320, 476, 26522, 476, 28318, 476, 25171, 476, 22903, 476, 28512, 476, 28873, 476, 271, 2537, 476, 271, 2190, 476, 28276, 476, 271, 2918, 476, 271, 2767, 476, 271, 2764, 476, 271, 3066, 476, 27157, 454, 6637, 476, 1556, 281, 21070, 12793, 454, 1556, 10611, 476, 4649, 6673, 269, 9826, 6673, 269, 16573, 6673, 269, 19740, 6673, 269, 21916, 6673, 269, 22650, 6673, 269, 24879, 6673, 269, 23669, 6673, 269, 25484, 6673, 269, 27947, 6673, 269, 18089, 6673, 269, 18733, 6673, 269, 23713, 6673, 269, 25320, 6673, 269, 26522, 476, 9826, 476, 16573, 476, 19740, 476, 21916, 476, 22650, 476, 24879, 476, 25484, 476, 27947, 476, 18089, 476, 18733, 476, 23713, 476, 25320, 476, 26522, 476, 27888, 476, 28318, 476, 30203, 476, 26289, 476, 25171, 476, 22903, 476, 28512, 476, 28873, 476, 271, 2537, 476, 271, 2190, 476, 28276, 476, 271, 2918, 476, 271, 2764, 476, 271, 3066, 476, 27157, 476, 31648, 476, 271, 3953, 476, 30033, 476, 271, 4097, 476, 271, 3374, 476, 271, 3607, 476, 271, 4391, 476, 271, 4343, 476, 271, 4375, 476, 31239, 476, 271, 6078, 476, 271, 5655, 476, 271, 6246, 454, 1556, 269, 272, 476, 2568, 6673, 269, 9826, 6673, 269, 16573, 6673, 269, 19740, 6673, 269, 21916, 6673, 269, 22650, 6673, 269, 24879, 476, 9826, 476, 23669, 476, 25484, 476, 27947, 476, 18089, 476, 18733, 476, 23713, 476, 25320, 476, 26522, 476, 27888, 476, 30203, 476, 25171, 476, 22903, 476, 28512, 476, 31648, 476, 271, 4391, 476, 271, 4343, 476, 271, 4375, 476, 31239, 476, 271, 5392, 476, 271, 5392, 268, 4962, 277, 320, 269, 311, 303, 11053, 583, 476, 271, 5392, 268, 4962, 277, 320, 269, 311, 303, 11053, 583, 2529, 288, 476, 30588, 476, 4962, 272, 476, 32180, 476, 4962, 274, 476, 271, 4649, 476, 4962, 277, 476, 4962, 278, 476, 4962, 280, 476, 6187, 272, 476, 6187, 274, 476, 271, 4792, 476, 6187, 278, 476, 6187, 279, 476, 6187, 280, 476, 5881, 272, 476, 5881, 274, 476, 271, 4037, 476, 5881, 277, 476, 5881, 278, 476, 271, 4281, 476, 5881, 280, 476, 24699, 476, 32146, 476, 5400, 273, 476, 5400, 274, 476, 5400, 275, 476, 5400, 278, 476, 5400, 280, 476, 6021, 274, 476, 271, 4817, 476, 6021, 277, 476, 6021, 279, 454, 1556, 269, 273, 476, 5379, 6673, 269, 9826, 6673, 269, 16573, 6673, 269, 19740, 6673, 269, 21916, 476, 23669, 476, 25484, 476, 27947, 476, 18089, 476, 18733, 476, 23713, 476, 25320, 476, 26522, 476, 27888, 476, 28318, 476, 30203, 476, 26289, 476, 28512, 476, 28873, 476, 271, 2537, 476, 271, 2190, 476, 28276, 476, 271, 2918, 476, 271, 2767, 476, 271, 2767, 268, 271, 5655, 320, 269, 311, 303, 11053, 583, 476, 271, 2767, 268, 271, 5655, 320, 269, 311, 303, 11053, 583, 2529, 288, 476, 271, 2764, 476, 271, 3066, 476, 30033, 476, 271, 6246, 476, 271, 6246, 268, 4962, 275, 320, 269, 311, 303, 11053, 583, 476, 271, 6246, 268, 4962, 275, 320, 269, 311, 303, 11053, 583, 2529, 288, 476, 271, 3393, 476, 271, 5325, 476, 271, 5392, 476, 30588, 476, 4962, 272, 476, 32180, 476, 4962, 274, 476, 4962, 280, 476, 271, 2568, 476, 6187, 274, 476, 271, 5038, 476, 271, 4792, 476, 6187, 280, 476, 5881, 274, 476, 5881, 275, 454, 1556, 269, 274, 476, 6812, 476, 27947, 476, 18733, 476, 25320, 476, 27888, 476, 30203, 476, 25171, 476, 22903, 476, 28512, 476, 28873, 476, 271, 2537, 476, 271, 2767, 476, 271, 2767, 268, 271, 4097, 320, 269, 311, 303, 11053, 583, 476, 271, 2767, 268, 271, 4097, 320, 269, 311, 303, 11053, 583, 2529, 288, 476, 271, 2764, 476, 271, 3066, 476, 31648, 476, 271, 3953, 476, 30033, 476, 271, 4097, 476, 271, 3374, 476, 271, 3607, 476, 271, 4391, 476, 271, 4343, 476, 271, 4375, 476, 271, 6078, 476, 271, 5655, 476, 271, 6246, 476, 271, 4510, 476, 271, 3393, 476, 271, 5379, 476, 271, 5325, 476, 271, 4366, 476, 271, 5392, 476, 30588, 476, 4962, 272, 476, 32180, 476, 4962, 274, 476, 4962, 275, 476, 271, 4649, 476, 4962, 277, 476, 4962, 278, 476, 4962, 279, 476, 4962, 280, 476, 271, 2568, 476, 6187, 272, 476, 6187, 273, 476, 271, 4792, 476, 271, 5780, 476, 5881, 273, 476, 5881, 275, 476, 5881, 277, 476, 5881, 280, 476, 5400, 278, 476, 5400, 280, 476, 271, 3445, 476, 6021, 272, 476, 6021, 274, 476, 6021, 275, 454, 1556, 269, 275, 476, 6795, 6673, 269, 9826, 6673, 269, 16573, 6673, 269, 19740, 6673, 269, 21916, 6673, 269, 22650 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 717, 525, 749, 1449, 6060, 585, 713, 1126, 568, 971, 602, 621, 23216, 609, 543, 18791, 519, 2949, 4806, 538, 519, 1239, 269, 1403, 649, 12337, 519, 9756, 11664, 585, 519, 476, 736, 824, 1453, 522, 2466, 1154, 1126, 1297, 476, 1240, 267, 649, 1205, 678, 815, 4475, 267, 1510, 1126, 1297, 476, 1240, 972, 568, 513, 9425, 1507, 2942, 9756, 1063, 519, 2085, 693, 799, 513, 1126, 12038, 922, 1101, 2262, 543, 519, 6060, 602, 519, 1126, 4607, 593, 519, 717, 525, 749, 13261, 1449, 269, 1306, 609, 1126, 476, 866, 649, 1265, 602, 713, 2582, 1126, 476, 1240, 630, 338, 17532, 6292, 540, 2418, 264, 814, 513, 9425, 1804, 3310, 593, 519, 9588, 540, 519, 9756, 11664, 269, 634, 1079, 8966, 2798, 5941, 1657, 6542, 519, 1079, 2010, 540, 8966, 2798, 649, 1522, 1265, 538, 513, 9756, 1966, 269, 2311, 713, 1448, 649, 786, 552, 8533, 519, 1459, 552, 2217, 538, 811, 1469, 269, 18564, 602, 519, 1448, 630, 2918, 267, 10170, 1070, 7222, 547, 1126, 1297, 476, 273, 267, 568, 849, 10169, 9674, 689, 519, 824, 2798, 538, 519, 14649, 7120, 269, 1284, 1294, 602, 972, 616, 1079, 1453, 267, 1126, 1297, 476, 1240, 543, 1126, 1297, 476, 273, 267, 945, 12038, 741, 1101, 1913, 2663, 982, 519, 5354, 540, 519, 1453, 269, 1403, 649, 522, 2466, 891, 1079, 1453, 543, 973, 20234, 1393, 519, 9756, 11664, 585, 519, 476, 1240, 824, 1453, 649, 1205, 678, 815, 901, 2982, 602, 519, 2963, 585, 513, 2942, 9756, 1063, 2085, 693, 1101, 2262, 543, 717, 525, 749, 1449, 6060, 568, 1360, 3810, 8200, 593, 519, 4527, 540, 891, 1079, 1453, 269, 898, 1131, 581, 513, 1434, 2856, 547, 3489, 930, 811, 1239, 865, 602, 649, 1223, 3313, 2436, 891, 1079, 1453, 2731, 616, 8966, 610, 2436, 649, 3274, 798, 711, 723, 1454, 1344, 827, 1453, 945, 616, 3735, 538, 6340, 741, 1101, 2262, 269, 476, 280, 269, 274, 22953, 22953, 2079, 568, 1031, 547, 1353, 519, 13829, 540, 513, 3210, 4756, 593, 606, 552, 17839, 2218, 4756, 269, 898, 949, 581, 5363, 547, 1589, 540, 519, 552, 17839, 2218, 4756, 2473, 607, 513, 6482, 540, 606, 3403, 547, 513, 1062, 543, 519, 3210, 4756, 962, 607, 513, 6482, 540, 519, 3977, 540, 519, 1062, 269, 1403, 972, 729, 606, 552, 716, 5276, 6198, 2078, 1063, 2473, 543, 962, 267, 1287, 519, 3210, 4756, 962, 630, 1492, 3977, 264, 1223, 581, 3134, 5962, 607, 513, 5276, 1599, 540, 519, 552, 17839, 2218, 4756, 2473, 630, 1492, 3403, 1040, 2334, 568, 267, 952, 972, 729, 606, 552, 716, 5276, 2078, 267, 1287, 972, 1131, 552, 626, 21635, 513, 543, 536, 971, 602, 267, 585, 513, 2016, 1871, 540, 519, 552, 17839, 2218, 4756, 2473, 267, 519, 7222, 1871, 540, 519, 3210, 4756, 962, 1223, 581, 3134, 5962, 607, 962, 815, 513, 1341, 536, 343, 269, 1403, 713, 729, 519, 2013, 267, 1287, 519, 2798, 538, 519, 14649, 7120, 1131, 9114, 593, 519, 1899, 5462, 676, 519, 3830, 962, 815, 513, 1341, 536, 343, 780, 1321, 22953, 769, 2259, 267, 519, 5276, 2078, 1063, 2473, 543, 962, 786, 711, 581, 552, 716, 543, 519, 2798, 630, 14585, 22046, 532, 547, 519, 4767, 2418, 540, 2473, 543, 962, 3738, 538, 519, 14649, 7120, 786, 711, 9114, 552, 18075, 593, 513, 1899, 269, 4475, 267, 14322, 602, 972, 568, 513, 5276, 2078, 1063, 2473, 543, 962, 267, 649, 1616, 547, 3313, 513, 1899, 630, 320, 5276, 3830, 11341, 2473, 543, 962, 3738, 799, 18113, 26564, 519, 5276, 2078, 1063, 2473, 543, 962, 269, 6271, 1259, 547, 2161, 713, 568, 602, 649, 1616, 547, 3313, 519, 1899, 799, 1655, 13352, 519, 1239, 269, 2986, 1576, 649, 1101, 991, 547, 6430, 1018, 649, 1611, 676, 6031, 602, 513, 1899, 13352, 1655, 269, 4475, 267, 649, 786, 1101, 5581, 513, 2268, 540, 875, 1134, 513, 1899, 13352, 519, 1239, 269, 634, 2268, 540, 519, 2298, 540, 519, 3514, 540, 513, 1899, 547, 519, 1239, 602, 649, 786, 946, 568, 1759, 593, 519, 7299, 24017, 540, 519, 4767, 2418, 540, 519, 3210, 4756, 962, 689, 519, 7222, 2418, 593, 519, 6069, 1899, 269, 634, 8404, 585, 1666, 532, 519, 2268, 540, 2298, 540, 3514, 593, 7299, 24017, 568, 602, 649, 616, 1210, 519, 535, 1221, 2418, 540, 519, 552, 17839, 2218, 4756, 2473, 547, 552, 21622, 519, 13260, 538, 519, 3210, 4756, 962, 543, 8390, 538, 962, 568, 538, 519, 7299, 4287, 269, 1403, 962, 568, 519, 3210, 4756, 1871, 585, 513, 1880, 1871, 540, 2473, 543, 15662, 370, 630, 1348, 713, 607, 962, 11058, 264, 568, 519, 1871, 602, 649, 1131, 723, 4767, 952, 519, 2078, 729, 552, 18075, 5276, 267, 1287, 519, 11539, 962, 15662, 370, 568, 519, 9896, 3845, 689, 519, 1448, 649, 4767, 630, 311, 267, 962, 3738, 547, 519, 1448, 630, 311, 267, 15662, 370, 3738, 593, 519, 1899, 2348, 519, 1482, 2473, 11282, 269, 634, 11539, 962, 15662, 370, 568, 2318, 950, 519, 1448, 630, 311, 267, 962, 3738, 568, 1657, 519, 1899, 543, 2942, 950, 519, 1448, 630, 311, 267, 962, 3738, 568, 2630, 519, 1899, 269, 18564, 602, 713, 11539, 568, 519, 9896, 7299, 3845, 689, 519, 1899, 547, 519, 1448, 630, 311, 267, 962, 3738, 2059, 519, 7299, 1899, 998, 519, 1448, 2473, 593, 519, 2473, 513, 529, 269, 1403, 519, 1899, 13352, 519, 1239, 1134, 267, 1287, 649, 1131, 552, 1051, 519, 2798, 538, 519, 14649, 7120, 547, 581, 2673, 547, 519, 1899, 269, 2334, 568, 267, 649, 1131, 552, 1051, 519, 24017, 962, 15662, 370, 547, 581, 1507, 538, 9588, 269, 1284, 1131, 849, 552, 1051, 513, 1899, 602, 13352, 1134, 547, 1780, 998, 519, 1647, 540, 519, 1448, 6531, 269, 2334, 568, 267, 649, 1131, 552, 1051, 519, 4191, 540, 519, 24017, 962, 15662, 370, 547, 4268, 1063, 2318, 543, 2942, 609, 1100, 1880, 4806, 269, 634, 7274, 602, 649, 786, 946, 547, 17412, 519, 2298, 540, 3514, 540, 513, 1899, 547, 519, 1239, 568, 519, 2040, 540, 519, 16302, 24017, 540, 519, 4767, 962, 2418, 689, 519, 15662, 370, 2418, 10567, 676, 519, 1899, 269, 769, 6698, 267, 713, 7274, 568, 630, 312, 15662, 370, 3738, 273, 269, 1879, 9236, 519, 3514, 540, 1079, 3515, 547, 519, 1239, 649, 1131, 9959, 602, 519, 1899, 585, 799, 713, 2040, 540, 16302, 24017, 568, 4130, 2488, 513, 1732, 3514, 547, 519, 1239, 269, 634, 2547, 10945, 9695, 1899, 568, 519, 1899, 799, 11729, 519, 1655, 3514, 538, 519, 2631, 540, 10893, 519, 2040, 540, 16302, 24017, 540, 519, 2798, 689, 519, 1899, 269, 2334, 568, 267, 1851, 782, 2009, 3515, 267, 519, 2547, 10945, 9695, 1899, 568, 519, 1899, 799, 11729, 519, 10545, 2009, 2040, 540, 16302, 24017, 269, 898, 568, 513, 6310, 1249, 602, 519, 2547, 10945, 9695, 1899, 568, 519, 1899, 602, 10596, 998, 519, 1448, 630, 311, 267, 962, 3738, 543, 814, 9386, 536, 2016, 676, 519, 4542, 536, 815, 630, 311, 2473, 7565, 312, 962, 3738, 630, 311, 2473, 264, 476, 273, 780, 1724, 476, 280, 269, 274, 22953, 476, 25375, 901, 4542, 585, 519, 9386, 540, 519, 2547, 10945, 9695, 1899, 568, 3177, 547, 1397, 596, 602, 972, 568, 971, 513, 4542, 543, 568, 711, 5921, 547, 581, 1031, 585, 19106, 269, 1411, 1058, 946, 513, 9498, 610, 513, 2780, 547, 5173, 519, 2547, 10945, 9695, 1899, 9386, 536, 269, 1403, 596, 3277, 1394, 547, 519, 4214, 540, 519, 9756, 11664, 267, 678, 267, 596, 786, 1294, 602, 519, 4542, 585, 678, 568, 21136, 538, 2473, 543, 962, 269, 2334, 568, 267, 954, 577, 4474, 519, 10297, 8655, 547, 519, 1079, 3210, 4632, 814, 1100, 1198, 593, 519, 1871, 540, 678, 269, 2201, 519, 824, 1688, 267, 519, 4542, 585, 519, 9386, 540, 519, 2547, 10945, 9695, 1899, 568, 5693, 711, 21136, 538, 2473, 543, 962, 269, 901, 12623, 11496, 9356, 519, 1249, 602, 267, 538, 519, 9695, 733, 564, 267, 519, 5107, 540, 519, 552, 17839, 2218, 4756, 2473, 543, 519, 3210, 4756, 962, 616, 711, 20049, 762, 269, 2913, 630, 311, 267, 15662, 370, 3738, 20301, 519, 10974, 540, 513, 1448, 593, 519, 2547, 10945, 9695, 1899, 269, 634, 4214, 540, 519, 2547, 10945, 9695, 1899, 2016, 1657, 543, 519, 4214, 540, 519, 9386, 540, 513, 1899, 17538, 602, 536, 815, 15662, 370, 962, 2473, 2473, 269, 18135, 697, 3453, 12879, 540, 713, 3134, 1833, 630, 14140, 9062, 1312, 5011, 676, 630, 311, 2473, 1070, 1287, 1039, 962, 547, 1312, 5011, 264, 11729, 519, 3830, 15662, 370, 815, 962, 1341, 536, 3287, 2473, 264, 585, 519, 2547, 10945, 9695, 1899, 269, 901, 3830, 568, 1572, 519, 1611, 543, 9386, 1106, 540, 519, 3830, 540, 519, 2547, 10945, 9695, 1899, 267, 2094, 621, 5673, 593, 519, 1611, 962, 543, 519, 9386, 536, 269, 11822, 1036, 29470, 540, 2474, 2982, 602, 519, 2547, 10945, 9695, 1899, 3830, 666, 849, 581, 2854, 607, 15662, 370, 815, 513, 1341, 536, 343, 267, 1141, 513, 815, 962, 536, 343, 568, 519, 586, 18448, 269, 1411, 666, 3489, 519, 1871, 540, 519, 586, 18448, 513, 540, 519, 2547, 10945, 9695, 1899, 1210, 513, 9498, 610, 513, 2780, 269, 901, 3830, 568, 1572, 519, 18448, 543, 9386, 1106, 540, 519, 3830, 540, 519, 2547, 10945, 9695, 1899, 267, 2094, 621, 5673, 593, 519, 586, 18448, 513, 543, 519, 9386, 536, 269, 2986, 891, 1079, 3029, 267, 519, 18448, 543, 9386, 1106, 540, 519, 3830, 540, 519, 2547, 10945, 9695, 1899, 568, 811, 10375, 585, 1034, 5301, 269, 634, 9386, 536, 540, 519, 2547, 10945, 9695, 1899, 568, 519, 630, 6247, 656, 264, 2557, 540, 1689, 540, 15662, 370, 607, 513, 1599, 540, 2473, 267, 1775, 4318, 1421, 952, 649, 1376, 693, 513, 1880, 1448, 630, 311, 267, 15662, 370, 3738, 593, 519, 1899, 543, 1847, 835, 1770, 547, 519, 1318, 538, 519, 2473, 4287, 267, 1287, 15662, 370, 7575, 536, 4559, 538, 519, 962, 4287, 4758, 519, 1448, 630, 311, 1341, 476, 272, 267, 15662, 370, 1341, 536, 1040, 1403, 536, 568, 2318, 267, 519, 1689, 538, 15662, 370, 568, 16057, 630, 385, 370, 4679, 5148, 543, 952, 536, 568, 2942, 267, 519, 1689, 538, 15662, 370, 568, 18746, 630, 385, 370, 11081, 1040, 18564, 602, 267, 2687, 547, 519, 2547, 10945, 9695, 1899, 267, 962, 568, 519, 3210, 4756, 1871, 602, 649, 1131, 552, 1051, 547, 1294, 950, 2473, 815, 2473, 269, 2334, 568, 267, 2655, 23082, 2473, 815, 2473, 883, 519, 2547, 10945, 9695, 1899, 3830, 3947, 15662, 370, 815, 962, 269, 634, 18448, 1871, 267, 513, 267, 568, 519, 3210, 1871, 692, 1691, 22953, 602, 649, 1131, 552, 1051, 547, 1294, 267, 2687, 547, 519, 2547, 10945, 9695, 1899, 267, 950, 2473, 815, 476, 271, 269, 2334, 568, 267, 2655, 23082, 2473, 815, 476, 271, 883, 519, 2547, 10945, 9695, 1899, 3830, 3947, 15662, 370, 815, 513, 269, 7612, 476, 1015, 269, 18140, 540, 16501, 2749, 13304, 720, 8957, 12761, 267, 585, 519, 476, 3374, 6517, 609, 771, 2897, 906, 1100, 3677, 982, 476, 273, 269, 276, 20990, 2749, 8420, 661, 2217, 269, 4427, 4818, 716, 1286, 2749, 13304, 720, 543, 12761, 269, 634, 12761, 630, 21653, 264, 540, 513, 1286, 2599, 786, 5693, 723, 606, 1198, 593, 519, 3154, 13304, 720, 602, 519, 1286, 786, 3489, 269, 634, 3483, 540, 713, 552, 2217, 568, 547, 552, 8533, 519, 13829, 540, 519, 16501, 2749, 13304, 720, 540, 513, 1016, 4818, 716, 1286, 2203, 593, 922, 2599, 12761, 269, 1280, 713, 552, 2217, 649, 786, 6615, 938, 3007, 547, 519, 562, 815, 476, 3374, 1016, 4818, 716, 1286, 3631, 609, 2599, 771, 2897, 906, 602, 616, 1100, 3677, 982, 476, 273, 269, 276, 20990, 269, 1280, 8897, 540, 4901, 267, 649, 786, 6460, 519, 2599, 771, 2897, 906, 689, 20990, 547, 7366, 540, 12945, 17744, 269, 1677, 6460, 519, 2599, 771, 2897, 906, 540, 7305, 476, 275, 540, 8791, 476, 274, 269, 272, 689, 20990, 547, 476, 1911, 524, 322, 4559, 649, 3274, 9062, 676, 4557, 267, 2094, 835, 2148, 568, 476, 1911, 271, 524, 322, 269, 634, 1239, 585, 713, 552, 2217, 616, 849, 3177, 538, 7305, 476, 275, 540, 713, 3184, 269, 3245, 519, 14649, 7120, 540, 2749, 13304, 720, 8957, 2599, 12761, 2016, 538, 7612, 476, 1015, 649, 1294, 602, 972, 568, 2178, 2942, 5276, 7681, 1063, 519, 2749, 13304, 720, 540, 513, 1016, 4818, 716, 1286, 543, 922 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1776, 1535, 692, 272, 269, 4855, 519, 2547, 1455, 14009, 256, 1411, 1522, 991, 547, 3815, 1142, 14009, 1101, 2507, 476, 273, 269, 7612, 856, 1018, 1142, 6824, 568, 7508, 543, 9062, 519, 19362, 543, 14009, 540, 1142, 676, 519, 7508, 4062, 4433, 1040, 23680, 14009, 538, 1249, 1819, 1106, 256, 476, 274, 269, 22217, 1518, 1142, 19362, 630, 23859, 6579, 267, 15814, 267, 9192, 899, 2474, 267, 3092, 1040, 476, 275, 269, 5410, 610, 10208, 519, 6746, 2209, 269, 476, 276, 269, 16748, 519, 19362, 547, 14458, 267, 952, 2009, 780, 27949, 356, 1548, 1281, 519, 6824, 3046, 1611, 286, 25104, 356, 10406, 25104, 356, 1656, 1018, 798, 649, 798, 950, 649, 7941, 8454, 286, 25104, 356, 4469, 760, 519, 2034, 6824, 543, 9062, 25104, 356, 25723, 9338, 3918, 4696, 312, 918, 301, 8582, 670, 8582, 9215, 11298, 24199, 2439, 27949, 356, 476, 272, 269, 16294, 707, 2462, 6824, 3046, 269, 25104, 356, 476, 273, 269, 25166, 1679, 1283, 6824, 269, 25104, 356, 476, 274, 269, 4469, 760, 5377, 6824, 547, 9062, 676, 519, 23483, 269, 25104, 356, 476, 275, 269, 22217, 1518, 692, 27949, 356, 3399, 676, 3168, 693, 519, 19362, 543, 14009, 14384, 269, 25104, 356, 7427, 938, 3268, 689, 3105, 5049, 547, 1118, 519, 19362, 543, 14009, 1142, 835, 6824, 269, 25104, 356, 3973, 1246, 707, 3268, 585, 12270, 8454, 630, 4148, 760, 519, 5377, 543, 9062, 6393, 27949, 356, 5153, 476, 272, 281, 22682, 5094, 19362, 543, 14009, 25104, 356, 5153, 476, 273, 281, 5410, 4882, 889, 339, 847, 519, 19362, 630, 604, 2556, 264, 676, 1739, 938, 3105, 3268, 269, 25104, 356, 5153, 476, 274, 281, 5410, 4882, 889, 339, 847, 519, 14009, 630, 604, 2556, 264, 676, 1739, 938, 3105, 3268, 269, 25104, 356, 5153, 476, 275, 281, 3503, 519, 1007, 19362, 936, 519, 1007, 14009, 269, 25104, 356, 5153, 476, 276, 281, 19147, 519, 8454, 676, 1166, 6235, 519, 6824, 538, 519, 14009, 543, 14921, 780, 27949, 356, 670, 842, 1948, 272, 281, 10312, 593, 1175, 519, 1283, 547, 1376, 25104, 356, 670, 842, 1948, 273, 281, 3503, 519, 476, 279, 607, 513, 6824, 936, 476, 272, 692, 27949, 356, 5457, 267, 960, 593, 519, 1283, 543, 5377, 14384, 267, 1287, 9192, 547, 7941, 780, 12606, 533, 696, 834, 11372, 17586, 476, 272, 264, 476, 273, 264, 19147, 476, 274, 264, 476, 275, 1040, 20505, 281, 1411, 786, 581, 2111, 547, 2507, 5410, 543, 10208, 7787, 7215, 3010, 13436, 14245, 0, 1892, 1948, 2243, 318, 24987, 589, 7848, 540, 1269, 301, 13997, 302, 13925, 273, 22288, 543, 1269, 13997, 301, 13925, 273, 12453, 346, 302, 13925, 275, 22288, 814, 513, 32350, 5860, 540, 476, 4343, 269, 274, 693, 1269, 4968, 298, 10608, 1548, 568, 519, 1297, 540, 18253, 540, 1269, 301, 13997, 302, 13925, 273, 22288, 538, 1269, 1911, 326, 259, 540, 519, 7848, 24748, 1496, 298, 27092, 6751, 307, 476, 1220, 275, 316, 589, 264, 476, 7673, 13725, 476, 271, 269, 271, 6246, 3396, 645, 264, 476, 7673, 13725, 476, 275, 269, 275, 595, 264, 476, 7673, 13725, 476, 274, 269, 275, 7673, 1109, 667, 264, 476, 7673, 13725, 476, 274, 269, 10436, 661, 264, 476, 7673, 13725, 476, 271, 269, 275, 4391, 692, 5591, 269, 540, 6675, 1269, 284, 273, 24585, 966, 6155, 259, 476, 18987, 1741, 1269, 273, 24585, 476, 4343, 269, 274, 284, 10602, 269, 274, 259, 476, 18987, 1741, 530, 339, 269, 540, 1269, 301, 13997, 302, 13925, 273, 3686, 284, 343, 259, 476, 18987, 1741, 1924, 602, 530, 339, 269, 540, 1269, 13997, 301, 13925, 273, 12453, 346, 302, 13925, 275, 3686, 284, 1911, 14870, 259, 476, 18987, 1741, 9747, 267, 4399, 2765, 12757, 2410, 5379, 23180, 2765, 346, 1911, 14870, 2410, 10844, 18098, 2765, 346, 1911, 2410, 10602, 269, 277, 18098, 2765, 346, 273, 343, 266, 1911, 14870, 2410, 10844, 18098, 2765, 346, 1911, 2410, 10602, 269, 277, 4151, 476, 18987, 7673, 13725, 1535, 815, 476, 736, 269, 1015, 267, 1100, 269, 540, 3727, 269, 540, 1269, 301, 13997, 302, 13925, 273, 3686, 7807, 2765, 346, 736, 269, 1015, 2410, 5379, 13157, 271, 269, 275, 4391, 259, 0, 309, 665, 17845, 1609, 5451, 14255, 533, 5451, 326, 2088, 476, 272, 1372, 476, 279, 692, 258, 630, 272, 264, 10318, 1456, 519, 23426, 12793, 692, 763, 1101, 1900, 568, 547, 3489, 519, 3337, 1599, 585, 519, 835, 8820, 13392, 3693, 609, 454, 22764, 9136, 269, 634, 13392, 3046, 3693, 1031, 538, 713, 7084, 568, 607, 3254, 2630, 912, 394, 378, 692, 394, 378, 23880, 12865, 511, 272, 3852, 378, 23880, 271, 3852, 378, 23880, 272, 692, 572, 3005, 476, 273, 692, 1012, 2060, 3337, 3252, 267, 1022, 2361, 3330, 519, 3693, 568, 4843, 607, 692, 340, 263, 394, 378, 264, 815, 3852, 352, 301, 328, 14241, 1141, 1775, 815, 476, 272, 267, 273, 267, 274, 610, 519, 1101, 2034, 543, 3791, 9136, 780, 4263, 519, 9136, 267, 519, 4114, 13846, 1599, 1058, 581, 3160, 547, 922, 12162, 531, 1871, 267, 602, 568, 912, 340, 8987, 272, 264, 815, 579, 272, 579, 263, 271, 264, 815, 579, 273, 579, 263, 272, 264, 815, 579, 274, 692, 7712, 519, 3693, 814, 1614, 9136, 267, 519, 3337, 1599, 585, 519, 12761, 693, 519, 9136, 568, 454, 326, 1508, 676, 519, 13392, 9971, 609, 1614, 14170, 524, 271, 524, 272, 543, 524, 273, 454, 1384, 1012, 715, 3287, 264, 815, 524, 271, 1341, 524, 272, 394, 378, 1341, 524, 273, 394, 378, 273, 692, 763, 7164, 4834, 666, 581, 5462, 689, 519, 1739, 1062, 540, 4834, 912, 2690, 3852, 378, 815, 910, 272, 267, 579, 272, 815, 524, 271, 1341, 524, 272, 1341, 524, 273, 454, 272, 476, 272, 454, 2690, 3852, 378, 815, 476, 271, 267, 579, 273, 815, 524, 271, 1341, 476, 273, 322, 272, 3852, 378, 1341, 476, 275, 322, 273, 3852, 378, 273, 454, 2690, 3852, 378, 815, 476, 272, 267, 579, 274, 815, 524, 271, 1341, 524, 273, 3852, 378, 1341, 524, 273, 3852, 378, 273, 692, 1012, 14572, 676, 18839, 543, 17594, 2164, 538, 1384, 322, 271, 815, 476, 271, 454, 322, 272, 815, 910, 272, 270, 273, 454, 322, 273, 815, 476, 272, 270, 273, 692, 4322, 2418, 666, 32543, 22004, 883, 519, 3312, 3830, 547, 3489, 519, 3337, 3252, 1384, 301, 272, 815, 910, 272, 270, 273, 3852, 378, 263, 272, 268, 3852, 378, 2020, 301, 273, 815, 476, 272, 268, 3852, 378, 273, 692, 301, 274, 815, 476, 272, 270, 273, 3852, 378, 263, 272, 266, 3852, 378, 2020, 272, 454, 263, 273, 264, 4886, 540, 519, 3693, 14290, 692, 763, 3693, 20765, 19336, 568, 5833, 676, 2921, 519, 1101, 12045, 540, 519, 3337, 3252, 1384, 1012, 15855, 495, 8740, 479, 272, 15855, 495, 8740, 479, 273, 15855, 495, 8740, 479, 274, 692, 6826, 815, 1496, 15855, 495, 3852, 378, 9948, 799, 568, 815, 15744, 357, 1496, 6629, 272, 1341, 476, 5582, 506, 487, 6567, 273, 5582, 506, 487, 476, 272, 1341, 476, 5582, 506, 487, 2639, 8740, 495, 394, 378, 15855, 495, 394, 378, 692, 1012, 634, 20765, 5119, 568, 513, 1587, 540, 519, 1098, 2821, 540, 2142, 543, 2142, 3294, 780, 272, 476, 272, 454, 5353, 815, 15855, 503, 3980, 360, 271, 1496, 6826, 4940, 1496, 6826, 316, 307, 1547, 661, 288, 15855, 495, 3852, 378, 2715, 308, 8679, 8740, 500, 692, 6629, 272, 1341, 476, 5582, 506, 487, 454, 272, 476, 272, 454, 5353, 815, 3980, 360, 1496, 6629, 272, 454, 8740, 503, 8740, 500, 476, 271, 454, 266, 5582, 506, 487, 6567, 273, 5582, 506, 487, 476, 272, 1341, 476, 5582, 506, 487, 316, 1547, 1496, 6567, 5582, 506, 487, 476, 4940, 661, 288, 15855, 495, 3852, 378, 2715, 308, 8679, 272, 266, 5582, 506, 487, 692, 5804, 5610, 540, 713, 713, 2078, 1063, 519, 7182, 561, 815, 910, 272, 543, 561, 815, 476, 272, 267, 513, 476, 274, 343, 274, 5119, 568, 454, 984, 22633, 269, 901, 568, 519, 20765, 5119, 602, 568, 1031, 538, 519, 9273, 602, 1246, 780, 278, 6567, 279, 476, 272, 454, 14256, 372, 14256, 368, 454, 5353, 815, 1496, 6629, 279, 476, 1626, 6567, 279, 2639, 274, 8740, 503, 454, 272, 476, 279, 476, 278, 692, 1012, 630, 274, 264, 14716, 540, 6241, 2609, 692, 1103, 1931, 547, 4020, 519, 3693, 9587, 267, 519, 4834, 12044, 519, 7180, 540, 519, 454, 1314, 6053, 16041, 3046, 786, 581, 1031, 269, 634, 12044, 4834, 616, 1384, 27949, 370, 476, 273, 340, 12865, 357, 1535, 12865, 358, 454, 12788, 31609, 7117, 322, 31609, 678, 343, 23880, 476, 271, 454, 27949, 370, 340, 273, 454, 706, 12865, 357, 1535, 12865, 358, 918, 454, 340, 12865, 357, 1535, 23880, 476, 271, 24033, 358, 23880, 476, 271, 543, 23880, 454, 11459, 661, 10907, 692, 763, 6241, 14290, 616, 5833, 676, 10128, 519, 5119, 715, 543, 519, 7856, 30212, 3196, 454, 659, 1484, 519, 8884, 780, 6629, 272, 270, 273, 3852, 378, 263, 272, 6567, 3852, 378, 994, 31915, 266, 8740, 503, 8740, 503, 454, 4501, 360, 31915, 1496, 476, 272, 6567, 3852, 378, 273, 9948, 630, 336, 322, 266, 337, 343, 264, 15848, 454, 272, 270, 273, 3852, 378, 263, 272, 1341, 3852, 378, 2020, 1607, 568, 2944, 5329, 538, 2247, 602, 1535, 666, 581, 2854, 538, 1106, 540, 3852, 378, 607, 3852, 378, 2993, 266, 3495, 1547, 4475, 519, 454, 15759, 1537, 568, 11117, 607, 513, 1599, 540, 3852, 378, 689, 910, 272, 547, 476, 272, 780, 273, 454, 5804, 713, 267, 519, 3693, 9587, 616, 5833, 607, 538, 519, 2078, 2630, 1384, 272, 476, 272, 454, 277, 454, 271, 476, 277, 454, 272, 476, 272, 454, 273, 1496, 9948, 476, 273, 454, 4501, 360, 6629, 272, 15855, 508, 8740, 494, 15855, 503, 8740, 500, 1496, 9948, 266, 15855, 509, 8740, 503, 8740, 500, 476, 274, 1341, 15855, 509, 31915, 8740, 500, 15855, 503, 8740, 500, 1496, 274, 23378, 274, 454, 272, 476, 272, 476, 272, 454, 277, 476, 277, 476, 277, 692, 1012, 1452, 666, 581, 17370, 9287, 607, 2630, 780, 272, 476, 271, 8740, 503, 8740, 500, 1341, 15855, 354, 8740, 500, 454, 272, 476, 272, 476, 272, 454, 4501, 360, 15855, 508, 15855, 503, 1496, 476, 275, 316, 1341, 476, 277, 337, 8740, 503, 8740, 500, 1496, 273, 8740, 503, 8740, 500, 1341, 476, 275, 31915, 8740, 500, 23378, 277, 6567, 272, 15855, 494, 15855, 500, 454, 272, 15855, 503, 8740, 500, 1341, 15855, 354, 8740, 500, 692, 763, 6241, 14290, 616, 1287, 6508, 689, 519, 1657, 3347, 780, 272, 454, 272, 454, 10623, 815, 476, 277, 15855, 508, 8740, 494, 15855, 503, 8740, 500, 1496, 275, 23378, 272, 454, 271, 8740, 503, 8740, 500, 1341, 15855, 354, 8740, 500, 454, 272, 454, 613, 815, 476, 277, 337, 8740, 503, 8740, 500, 1496, 273, 8740, 503, 8740, 500, 1341, 476, 275, 31915, 8740, 500, 23378, 8740, 503, 8740, 500, 1341, 15855, 354, 8740, 500, 692, 1012, 630, 275, 264, 9185, 24619, 9917, 564, 692, 763, 14133, 22369, 18252, 519, 5119, 5833, 538, 1900, 630, 273, 264, 1657, 269, 901, 568, 519, 20765, 454, 9795, 269, 634, 3347, 538, 1900, 1614, 616, 849, 1031, 547, 3489, 519, 6241, 2609, 535, 543, 575, 563, 763, 1079, 9587, 616, 2040, 4364, 909, 543, 3773, 547, 519, 737, 6241, 780, 3528, 1210, 476, 276, 2609, 609, 1614, 9136, 538, 1142, 3693, 267, 621, 568, 2009, 602, 519, 6111, 540, 519, 454, 652, 11582, 666, 581, 4824, 780, 274, 454, 11764, 332, 566, 540, 2051, 8435, 692, 325, 575, 737, 535, 266, 326, 266, 330, 454, 271, 269, 29214, 26116, 5780, 278, 476, 271, 476, 271, 476, 271, 269, 29214, 5780, 278, 454, 272, 269, 271, 5780, 26116, 5780, 278, 476, 271, 269, 6858, 273, 476, 271, 476, 272, 269, 278, 4343, 5780, 278, 454, 271, 269, 276, 3451, 18357, 18357, 476, 271, 269, 6858, 273, 476, 271, 476, 272, 269, 13078, 18357, 454, 272, 269, 271, 5780, 26116, 5780, 278, 476, 273, 269, 28318, 476, 271, 476, 274, 269, 5400, 273, 5780, 278, 454, 271, 269, 276, 3451, 18357, 18357, 476, 272, 269, 30306, 476, 271, 284, 476, 272, 269, 279, 6507, 18357, 454, 272, 269, 271, 5780, 26116, 5780, 278, 476, 274, 269, 3607, 476, 271, 476, 275, 269, 275, 2918, 5780, 278, 454, 271, 269, 276, 3451, 18357, 18357, 476, 273, 269, 28318, 476, 271, 476, 273, 269, 276, 5392, 18357, 454, 272 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 281, 13600, 547, 946, 538, 519, 4729, 563, 1038, 910, 5503, 318, 9792, 281, 5384, 689, 543, 547, 585, 519, 4729, 563, 1038, 910, 344, 318, 9471, 281, 1295, 543, 3193, 585, 586, 7852, 563, 825, 8173, 825, 10917, 318, 1348, 815, 19073, 18667, 32269, 3488, 339, 17687, 27406, 3299, 694, 335, 284, 3299, 5073, 825, 952, 942, 318, 9792, 11203, 7183, 912, 1038, 1376, 14729, 792, 815, 2612, 263, 5503, 318, 9792, 314, 271, 316, 268, 31184, 318, 1348, 14277, 17413, 257, 4940, 32643, 314, 271, 7481, 1038, 1439, 14729, 792, 815, 2612, 263, 5503, 318, 9792, 314, 272, 316, 268, 31184, 318, 1348, 14277, 17413, 257, 4940, 32643, 314, 271, 7481, 1038, 10917, 318, 1348, 815, 10917, 318, 1348, 314, 314, 24629, 267, 834, 17413, 19312, 4940, 32643, 314, 11034, 14729, 792, 281, 754, 14729, 792, 2639, 1038, 10917, 318, 1348, 19502, 3287, 8782, 17413, 3299, 586, 8782, 27793, 3299, 586, 3916, 284, 344, 318, 9471, 994, 825, 3116, 912, 1038, 10917, 318, 1348, 19502, 3287, 8782, 17413, 3299, 586, 284, 24629, 267, 586, 3916, 284, 344, 318, 9471, 994, 825, 12301, 4732, 1511, 14808, 3488, 18878, 14121, 17687, 27970, 5073, 825, 12301, 20481, 10797, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 4729, 318, 1723, 273, 4590, 825, 4729, 4671, 17687, 4590, 0, 26611, 23591, 24800, 19841, 341, 9226, 274, 692, 5814, 556, 454, 5814, 2415, 27785, 692, 3698, 2681, 23952, 263, 6312, 1181, 267, 5569, 267, 2681, 2187, 825, 2681, 23919, 815, 556, 16553, 16868, 257, 20719, 16585, 2668, 8971, 263, 6312, 1181, 1070, 337, 257, 315, 30033, 314, 24001, 332, 2668, 8971, 263, 10233, 11924, 337, 257, 315, 272, 257, 266, 337, 257, 315, 30033, 314, 271, 332, 2580, 11415, 2020, 825, 2132, 2681, 23919, 7531, 3698, 1164, 331, 7660, 263, 516, 613, 343, 318, 1910, 660, 1314, 267, 4778, 267, 32197, 17107, 825, 8173, 825, 27413, 519, 1913, 602, 13292, 513, 556, 613, 343, 689, 556, 613, 343, 3758, 543, 2681, 873, 2687, 547, 519, 2681, 3758, 780, 825, 2433, 12407, 556, 613, 343, 318, 1910, 660, 1314, 281, 589, 3758, 5627, 2834, 7215, 454, 825, 2433, 12407, 4778, 281, 589, 3758, 5627, 2681, 9479, 454, 825, 2433, 12407, 32197, 281, 634, 2012, 540, 519, 3758, 547, 2681, 454, 825, 2433, 8873, 281, 589, 5569, 2275, 4878, 540, 519, 3403, 3758, 609, 11954, 13292, 780, 825, 1520, 1091, 519, 556, 613, 343, 525, 543, 4778, 689, 741, 9757, 6119, 547, 1079, 694, 704, 622, 8638, 563, 825, 29799, 519, 1913, 602, 13292, 513, 556, 613, 343, 689, 519, 3403, 12803, 543, 2681, 873, 454, 825, 29185, 8931, 825, 609, 1930, 263, 516, 613, 343, 318, 1910, 660, 1314, 264, 607, 1036, 912, 1038, 556, 613, 343, 15461, 22772, 815, 11713, 1038, 585, 1899, 538, 1036, 912, 2018, 4806, 815, 476, 556, 269, 14142, 16868, 257, 263, 286, 24097, 257, 7565, 30818, 286, 21663, 263, 286, 24097, 257, 2567, 263, 286, 27045, 281, 7565, 286, 15545, 265, 264, 2580, 1467, 264, 1948, 3901, 2583, 3388, 593, 519, 1899, 1354, 3935, 454, 2018, 2012, 815, 556, 269, 14142, 16868, 257, 315, 342, 265, 259, 2580, 1467, 994, 2018, 556, 613, 343, 15461, 22772, 6910, 9230, 6312, 1181, 3052, 4981, 263, 272, 1070, 4067, 3052, 4981, 3890, 4917, 2018, 16105, 815, 9598, 263, 516, 613, 343, 15461, 22772, 2020, 8931, 825, 609, 1930, 263, 3712, 832, 264, 607, 2681, 912, 1038, 2681, 318, 6919, 815, 11713, 1038, 585, 1899, 538, 2681, 912, 2018, 3009, 815, 556, 269, 14142, 16868, 257, 263, 286, 27045, 281, 7565, 286, 24097, 338, 7565, 30818, 259, 264, 2580, 1467, 994, 2018, 2012, 815, 556, 269, 14142, 16868, 257, 315, 342, 265, 2580, 1467, 994, 2018, 2681, 318, 6919, 6910, 9230, 4067, 3052, 4981, 19572, 13892, 3052, 4981, 3890, 4917, 1038, 2681, 560, 4428, 815, 9598, 263, 10233, 318, 6919, 2020, 692, 825, 609, 1930, 6600, 32327, 264, 607, 3758, 912, 1038, 1224, 18316, 815, 3758, 18667, 10797, 825, 585, 556, 613, 343, 267, 1883, 538, 16105, 29096, 10031, 1038, 1224, 18316, 815, 2681, 23952, 263, 516, 613, 343, 267, 1348, 18316, 267, 10233, 560, 4428, 314, 4486, 20285, 825, 2132, 1224, 18316, 692, 3698, 1612, 572, 318, 1173, 3890, 1384, 825, 8173, 825, 589, 2415, 27785, 585, 713, 7097, 454, 825, 2398, 6493, 519, 16105, 12006, 3403, 3758, 563, 825, 2433, 8873, 281, 7183, 692, 825, 29185, 825, 16163, 518, 815, 2415, 27785, 269, 26855, 2163, 303, 32242, 5560, 525, 5524, 6889, 300, 1389, 513, 16105, 1164, 331, 7660, 1759, 593, 513, 16105, 268, 543, 6249, 1922, 850, 23528, 825, 16163, 518, 14491, 318, 30348, 3488, 1910, 660, 1314, 3299, 15276, 6889, 288, 1547, 1910, 660, 1314, 3758, 5627, 556, 613, 343, 7215, 2580, 5471, 822, 541, 8782, 314, 306, 312, 301, 14011, 311, 316, 5073, 825, 16163, 518, 14491, 318, 30348, 3488, 3712, 832, 3299, 15276, 8782, 288, 1547, 339, 22351, 3758, 5627, 2681, 14565, 3299, 5471, 822, 541, 8782, 314, 4596, 299, 27633, 316, 5073, 825, 16163, 518, 14491, 318, 30348, 3488, 12803, 3299, 15276, 6889, 763, 3758, 547, 16105, 5031, 2580, 1558, 822, 541, 815, 262, 314, 293, 11223, 316, 5073, 825, 26571, 815, 16163, 518, 269, 27785, 318, 16911, 30800, 825, 12006, 815, 1164, 331, 7660, 263, 16911, 269, 1910, 660, 1314, 267, 26571, 31815, 832, 267, 26571, 8807, 850, 994, 825, 1820, 263, 14683, 2775, 539, 2020, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1612, 572, 318, 1173, 4590, 0, 5035, 26275, 1805, 871, 1384, 825, 1219, 6449, 8181, 9191, 1345, 267, 3193, 815, 476, 1015, 2187, 1038, 1582, 21606, 815, 1496, 14085, 316, 2608, 10946, 454, 1038, 1582, 27982, 815, 3193, 454, 1038, 1582, 8807, 1009, 4671, 641, 815, 910, 272, 454, 1038, 1582, 269, 16149, 4671, 641, 815, 1582, 27982, 692, 825, 1219, 2450, 6958, 1009, 4311, 2187, 1038, 2132, 1582, 8807, 1009, 4671, 641, 1341, 476, 272, 692, 825, 1219, 2450, 318, 16149, 4311, 2187, 1038, 2132, 1582, 27982, 910, 1582, 269, 16149, 4671, 641, 8528, 825, 1219, 568, 318, 21459, 4311, 2187, 1038, 2132, 1582, 25915, 6958, 1009, 3890, 1341, 1582, 25915, 318, 16149, 3890, 2652, 1582, 27982, 692, 825, 1219, 7903, 6958, 1009, 4311, 267, 552, 2187, 1038, 952, 1582, 18994, 318, 21459, 10031, 2018, 6318, 1401, 4003, 3488, 1805, 871, 568, 2407, 5073, 1038, 1582, 8807, 1009, 4671, 641, 6834, 476, 272, 454, 1038, 1582, 21606, 314, 1345, 8807, 1009, 4671, 641, 316, 815, 552, 22562, 825, 1219, 7903, 318, 16149, 4311, 267, 552, 2187, 1038, 952, 1582, 18994, 318, 21459, 10031, 2018, 6318, 1401, 4003, 3488, 1805, 871, 568, 2407, 5073, 1038, 1582, 269, 16149, 4671, 641, 20699, 476, 272, 454, 1038, 1582, 21606, 314, 1345, 269, 16149, 4671, 641, 316, 815, 552, 692, 825, 1219, 1283, 6958, 1009, 4311, 2187, 1038, 952, 1582, 25915, 6958, 1009, 3890, 2652, 476, 271, 912, 2018, 6318, 1401, 4003, 3488, 14140, 10518, 568, 8900, 5073, 1038, 2132, 1582, 21606, 314, 1345, 8807, 1009, 4671, 641, 6540, 825, 1219, 1283, 318, 16149, 4311, 2187, 1038, 952, 1582, 25915, 318, 16149, 3890, 2652, 476, 271, 912, 2018, 6318, 1401, 4003, 3488, 16149, 10518, 568, 8900, 5073, 1038, 2132, 1582, 21606, 314, 1345, 269, 16149, 4671, 641, 6540, 825, 1219, 1402, 6958, 1009, 4311, 2187, 1038, 952, 1582, 25915, 6958, 1009, 3890, 2652, 476, 271, 912, 2018, 6318, 1401, 4003, 3488, 14140, 10518, 568, 8900, 5073, 1038, 552, 815, 1582, 21606, 314, 1345, 8807, 1009, 4671, 641, 2639, 1038, 1582, 21606, 314, 1345, 8807, 1009, 4671, 641, 316, 815, 7183, 454, 1038, 1582, 8807, 1009, 4671, 641, 20699, 476, 272, 454, 1038, 2132, 552, 692, 825, 1219, 1402, 318, 16149, 4311, 2187, 1038, 952, 1582, 25915, 318, 16149, 3890, 2652, 476, 271, 912, 2018, 6318, 1401, 4003, 3488, 16149, 10518, 568, 8900, 5073, 1038, 552, 815, 1582, 21606, 314, 1345, 269, 16149, 4671, 641, 2639, 1038, 1582, 21606, 314, 1345, 269, 16149, 4671, 641, 316, 815, 7183, 454, 1038, 1582, 269, 16149, 4671, 641, 6834, 476, 272, 454, 1038, 2132, 552, 7531, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 521, 815, 26275, 1805, 871, 4590, 825, 1820, 3488, 8181, 7007, 1533, 281, 17210, 825, 2638, 815, 8173, 2745, 4433, 21606, 994, 2745, 3488, 21653, 540, 1101, 10518, 281, 3299, 338, 25915, 6958, 1009, 15405, 2745, 3488, 21653, 540, 2034, 10518, 281, 3299, 338, 25915, 318, 16149, 28829, 20701, 825, 4291, 263, 13765, 994, 825, 1820, 3488, 529, 621, 2407, 7790, 3299, 338, 18994, 318, 21459, 15405, 825, 2119, 912, 1038, 1820, 4433, 21014, 6958, 1009, 15405, 825, 4849, 912, 1038, 1820, 3488, 26008, 2750, 4003, 6659, 1247, 1402, 532, 1101, 10518, 5073, 8931, 825, 2119, 912, 1038, 1820, 4433, 21014, 318, 16149, 15405, 825, 4849, 912, 1038, 1820, 3488, 26008, 2750, 4003, 6659, 1247, 1402, 532, 2034, 10518, 17210, 825, 1820, 28361, 333, 32061, 835, 1297, 547, 1142, 10518, 281, 5073, 825, 521, 4877, 2313, 6958, 1009, 263, 1321, 994, 825, 1820, 4433, 21606, 994, 825, 521, 4877, 2313, 318, 16149, 263, 4343, 994, 825, 4291, 263, 13765, 2020, 825, 1820, 28361, 333, 2193, 2130, 588, 2931, 281, 5073, 825, 2119, 912, 1038, 1820, 4433, 21014, 6958, 1009, 15405, 825, 4849, 912, 1038, 1820, 3488, 26008, 2750, 4003, 6659, 1247, 1402, 532, 1101, 10518, 17210, 825, 1820, 4433, 21606, 994, 825, 2119, 912, 1038, 1820, 4433, 21014, 318, 16149, 15405, 825, 4849, 912, 1038, 1820, 3488, 26008, 2750, 4003, 6659, 1247, 1402, 532, 2034, 10518, 17210, 825, 4291, 263, 13765, 2020, 825, 1820, 28361, 333, 21459, 3510, 281, 5073, 825, 585, 1775, 538, 2039, 263, 276, 2187, 1038, 521, 4877, 2313, 6958, 1009, 9217, 994, 1038, 521, 4877, 2313, 318, 16149, 9217, 994, 825, 4291, 263, 13765, 994, 825, 2119, 912, 1038, 521, 4877, 2313, 6958, 1009, 263, 276, 994, 825, 4849, 912, 1038, 1820, 3488, 560, 2931, 616, 2407, 543, 649, 616, 1434, 5073, 8931, 825, 2119, 912, 1038, 521, 4877, 2313, 318, 16149, 263, 276, 994, 825, 4849, 912, 1038, 1820, 3488, 560, 2931, 616, 2407, 543, 649, 616, 1434, 17210, 7531, 825, 1820, 28361, 333, 663, 811, 4152, 1862, 5073, 825, 1820, 4433, 21014, 318, 16149, 15405, 825, 521, 4877, 2313, 6958, 1009, 263, 276, 994, 825, 4291, 263, 13765, 2020, 0, 258, 6996, 675, 930, 12673, 454, 6919, 815, 1496, 1412, 13906, 262, 2073, 1412, 30720, 262, 2073, 1412, 3698, 523, 652, 3433, 262, 6540, 1721, 530, 538, 1913, 912, 825, 1820, 26028, 267, 6352, 26028, 11723, 1721, 530, 538, 1913, 11468, 14158, 825, 952, 7003, 26028, 264, 3436, 476, 277, 912, 1038, 1913, 27044, 263, 271, 267, 342, 994, 2745, 263, 6919, 2020 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 873, 689, 8757, 519, 12008, 1367, 563, 4407, 713, 2259, 814, 3140, 4644, 538, 930, 4525, 267, 621, 779, 1271, 547, 4063, 602, 621, 568, 711, 513, 18174, 16513, 1505, 585, 7231, 609, 5127, 30132, 28383, 267, 543, 621, 568, 711, 4122, 1031, 607, 513, 3119, 610, 2500, 1797, 540, 5127, 30132, 1852, 538, 2413, 2053, 269, 12333, 11641, 1852, 2409, 543, 824, 811, 2413, 2553, 616, 3335, 9053, 585, 5466, 5127, 30132, 2152, 538, 1034, 2694, 540, 519, 1158, 563, 1432, 2186, 540, 21167, 3762, 616, 1031, 547, 1065, 601, 5127, 30471, 888, 2252, 596, 14353, 596, 723, 513, 5127, 30132, 23588, 267, 621, 779, 19624, 547, 5077, 609, 513, 11641, 1852, 3318, 610, 1246, 519, 5583, 3177, 676, 707, 2199, 1072, 8257, 610, 11641, 2359, 8116, 585, 2500, 543, 2922, 5127, 30132, 16701, 1709, 2409, 563, 2080, 568, 938, 2347, 3391, 593, 9013, 5127, 30471, 563, 2026, 606, 8835, 21133, 267, 594, 7118, 689, 27216, 16306, 269, 0, 2691, 9002, 616, 6534, 547, 2575, 267, 741, 12058, 1689, 269, 8535, 1281, 2087, 30181, 543, 2569, 2566, 2157, 269, 634, 2601, 1946, 789, 616, 519, 1655, 547, 3914, 950, 596, 1616, 707, 4816, 547, 1745, 17159, 267, 9350, 543, 4712, 547, 3207, 269, 700, 1638, 28320, 948, 1453, 693, 513, 1762, 2085, 547, 1205, 538, 5905, 609, 741, 4664, 563, 1103, 1249, 267, 2575, 13847, 513, 2635, 9570, 540, 1439, 6973, 1231, 267, 519, 865, 10777, 2048, 327, 1952, 1465, 9449, 10200, 901, 9449, 814, 1279, 18835, 2640, 971, 607, 14178, 741, 7209, 7592, 267, 899, 4742, 811, 23904, 543, 9870, 741, 5179, 1983, 630, 16780, 5971, 618, 547, 17945, 543, 25837, 3615, 1040, 901, 568, 1360, 3730, 585, 741, 1646, 563, 763, 2601, 1946, 3237, 1058, 6338, 2575, 547, 741, 9002, 568, 602, 621, 814, 1082, 2318, 2360, 593, 519, 2634, 912, 1700, 1703, 568, 513, 851, 540, 519, 2634, 538, 519, 18215, 545, 1062, 267, 799, 568, 3743, 585, 519, 3929, 6114, 547, 2575, 269, 634, 3929, 851, 540, 519, 2634, 568, 1373, 25623, 676, 519, 2575, 267, 811, 865, 982, 519, 2542, 17003, 267, 713, 568, 13302, 519, 26901, 531, 1377, 267, 543, 602, 538, 2490, 568, 4227, 519, 1928, 3210, 2157, 563, 268, 674, 3931, 909, 1896, 2127, 538, 621, 267, 799, 616, 3743, 585, 10409, 543, 6310, 8856, 563, 268, 29918, 12885, 519, 5250, 540, 2634, 6464, 971, 607, 22006, 543, 3404, 12682, 665, 514, 269, 1879, 891, 616, 5950, 267, 1453, 616, 9415, 547, 2671, 9162, 267, 26003, 1125, 543, 666, 1256, 3972, 1866, 811, 563, 268, 15043, 519, 8115, 1063, 519, 1079, 8280, 7371, 12742, 540, 519, 2634, 267, 799, 2636, 6835, 547, 1205, 2066, 519, 2634, 5488, 543, 2066, 1114, 11507, 267, 543, 602, 267, 568, 875, 519, 5818, 540, 5834, 1983, 543, 7607, 4523, 563, 24523, 814, 513, 1390, 1764, 538, 7924, 267, 6746, 2329, 267, 2168, 1646, 267, 14407, 5179, 11558, 630, 7945, 607, 4881, 543, 17259, 1070, 607, 1134, 607, 1514, 543, 3929, 1646, 630, 16753, 875, 547, 2744, 6015, 267, 5706, 2942, 1514, 2604, 543, 4383, 2566, 543, 4160, 1916, 2691, 8380, 2575, 547, 513, 1126, 267, 621, 10953, 1010, 610, 1200, 8901, 4987, 1107, 18413, 519, 2666, 585, 606, 1719, 538, 6128, 267, 4702, 267, 2780, 2257, 543, 6189, 269, 18766, 689, 3056, 519, 9002, 547, 513, 9350, 543, 513, 2186, 7209, 16023, 267, 2575, 10607, 8197, 741, 6863, 543, 5876, 607, 1134, 563, 763, 3169, 2601, 1946, 3237, 666, 1293, 593, 561, 1638, 28320, 547, 4497, 741, 1453, 538, 2635, 4694, 12742, 563, 29261, 2356, 723, 1169, 6221, 789, 666, 2009, 946, 585, 519, 1416, 543, 4313, 540, 741, 4816, 269, 1548, 789, 1419, 7340, 827, 568, 519, 2370, 855, 1271, 3688, 269, 4635, 4816, 3207, 2575, 543, 561, 1638, 28320, 666, 581, 971, 543, 1271, 6221, 269, 589, 13458, 995, 16170, 5503, 2290, 540, 519, 3853, 585, 2483, 288, 6126, 4816, 568, 1454, 811, 2693, 547, 2887, 883, 513, 12560, 3207, 269, 4014, 972, 616, 930, 9002, 602, 616, 865, 8049, 602, 789, 1810, 1405, 1616, 547, 4413, 4376, 269, 1924, 789, 949, 4339, 3207, 269, 634, 3070, 585, 713, 568, 547, 946, 21557, 8964, 585, 9002, 547, 9350, 873, 693, 21557, 269, 634, 2483, 2791, 949, 4898, 1946, 513, 4816, 568, 711, 2111, 547, 6001, 543, 3207, 693, 21557, 269, 1548, 3237, 1419, 7340, 568, 9002, 616, 711, 2111, 547, 2911, 827, 1946, 789, 616, 29043, 269, 898, 3274, 1223, 581, 1945, 899, 1373, 936, 13110, 602, 568, 2566, 532, 519, 4816, 269, 18641, 972, 568, 513, 1390, 1862, 0, 2467, 616, 1114, 3032, 1426, 593, 519, 2344, 602, 666, 2743, 519, 8192, 2115, 540, 15847, 7314, 269, 634, 1655, 3032, 1426, 585, 15847, 7314, 786, 723, 513, 1970, 29944, 4994, 267, 799, 786, 948, 547, 1852, 1973, 4006, 2157, 269, 2368, 15847, 3032, 1426, 3568, 2030, 21555, 602, 948, 2569, 1973, 7280, 2157, 269, 9697, 3237, 1590, 581, 6297, 538, 7446, 1426, 585, 741, 26804, 13959, 563, 2467, 568, 513, 2603, 540, 1114, 3032, 1426, 593, 519, 2344, 267, 543, 1142, 949, 581, 1732, 14018, 585, 513, 1808, 1826, 540, 3032, 269, 1280, 1383, 267, 930, 7314, 949, 4782, 1164, 19339, 1426, 267, 1247, 1866, 949, 991, 1970, 21307, 8510, 3433, 1426, 269, 1879, 7446, 513, 3032, 1426, 267, 621, 568, 1271, 547, 2015, 519, 15847, 3032, 779, 2115, 607, 1134, 269, 4144, 28017, 991, 513, 2732, 602, 568, 1164, 538, 3940, 547, 948, 10038, 1973, 4006, 2157, 269, 898, 568, 849, 1271, 547, 3442, 1426, 602, 814, 1044, 4481, 19775, 585, 15847, 7314, 563, 30048, 22577, 568, 513, 2068, 540, 519, 18558, 602, 2164, 950, 519, 1560, 1281, 711, 3132, 2614, 7378, 610, 3112, 946, 7378, 5265, 269, 6184, 6081, 568, 513, 9449, 602, 2337, 519, 1560, 6460, 1426, 883, 1648, 269, 9453, 7378, 267, 7280, 630, 338, 13610, 264, 25173, 538, 519, 1973, 543, 666, 3441, 2281, 538, 519, 1560, 563, 763, 1034, 1455, 1826, 540, 3987, 538, 7314, 568, 1634, 607, 26804, 7378, 17466, 3987, 22577, 630, 293, 2839, 19699, 1040, 674, 2839, 19699, 568, 519, 1482, 607, 1480, 1826, 476, 272, 3987, 269, 901, 1797, 602, 519, 1560, 1281, 711, 3132, 2614, 7378, 267, 543, 519, 3032, 2115, 15833, 610, 7378, 24409, 5781, 538, 1931, 547, 3251, 2635, 543, 10038, 922, 1973, 4006, 2157, 269, 19949, 609, 1826, 476, 273, 3987, 1419, 1995, 8373, 4509, 741, 1973, 4006, 2157, 543, 949, 2154, 3232, 6646, 547, 10038, 741, 1973, 4006, 269, 12128, 568, 513, 2068, 602, 5540, 519, 1560, 779, 2702, 547, 10038, 1973, 4006, 2157, 269, 634, 2068, 666, 2049, 538, 1022, 3662, 855, 568, 1034, 1455, 538, 5243, 543, 7314, 563, 2252, 707, 3032, 568, 27109, 1022, 540, 519, 1739, 4191, 267, 621, 949, 581, 942, 547, 1491, 1200, 547, 519, 17022, 585, 513, 3987, 2638, 1575, 912, 268, 16842, 19818, 610, 14000, 267, 1256, 950, 1426, 568, 2139, 563, 268, 14627, 550, 30614, 610, 1219, 1815, 566, 563, 268, 13379, 2530, 5103, 4189, 513, 2834, 2732, 563, 268, 1133, 639, 783, 11926, 538, 519, 7953, 610, 17737, 563, 268, 19232, 14779, 610, 2960, 602, 5526, 3819, 543, 29618, 563, 2467, 568, 1100, 10826, 585, 3987, 538, 7314, 267, 855, 2126, 609, 606, 7378, 8929, 666, 948, 547, 1852, 519, 2589, 563, 11917, 7295, 568, 513, 3395, 1966, 538, 7314, 267, 607, 621, 568, 538, 1082, 824, 2249, 540, 2831, 269, 898, 666, 1291, 547, 3987, 267, 543, 1312, 2175, 616, 3978, 1072, 2042, 269, 25667, 568, 3361, 676, 513, 4999, 540, 11976, 543, 6197, 5079, 269, 2290, 2462, 3815, 538, 8377, 538, 7314, 568, 519, 1826, 540, 1426, 789, 3548, 269, 25667, 666, 849, 581, 3361, 676, 513, 3668, 540, 3635, 267, 855, 602, 779, 711, 519, 1152, 2014, 563, 290, 1846, 945, 616, 17324, 723, 8373, 6972, 543, 3001, 1472, 7444, 269, 1358, 849, 4043, 547, 723, 1164, 1973, 4006, 2157, 543, 9402, 8501, 2157, 269, 1452, 2042, 666, 1291, 547, 2295, 2068, 267, 8482, 267, 8459, 5821, 267, 543, 1256, 2669, 269, 25667, 568, 1521, 762, 609, 2732, 543, 3635, 3292, 602, 948, 2569, 2597, 543, 2087, 519, 3032, 779, 1072, 2949, 563, 290, 10165, 3032, 1426, 267, 6632, 1426, 267, 610, 3819, 1426, 666, 581, 10480, 547, 7314, 609, 26804, 3987, 269, 3371, 568, 513, 1592, 540, 519, 1655, 15847, 3032, 1426, 547, 3339, 1047, 1973, 7280, 563, 307, 5942, 9697, 670, 809, 6511, 13198, 879, 9697, 5253, 568, 513, 1164, 7779, 15847, 1426, 602, 568, 16887, 19775, 547, 2743, 519, 1808, 2115, 540, 15847, 7314, 269, 570, 5942, 9697, 670, 809, 6511, 13198, 879, 9697, 5253, 568, 1500, 609, 14167, 5820, 543, 3568, 1100, 9274, 267, 10568, 267, 8970, 267, 13386, 610, 10683, 269, 901, 1426, 568, 3501, 585, 15847, 7314, 945, 991, 513, 14312, 2732, 602, 3085, 1406, 2270, 1022, 540, 519, 1455, 23480, 563, 295, 895, 1299, 717, 520, 657, 2052, 2740, 20363, 9697, 5253, 3091, 513, 3099, 540, 27574, 3032, 3536, 602, 616, 16887, 2966, 547, 2743, 519, 9422, 2115, 540, 15847, 7314, 269, 2353, 540, 741, 27574, 3032, 3536, 616, 1500, 609, 1164, 7779, 5820, 267, 543, 789, 723, 513, 3903, 540, 1312, 6632, 543, 3819, 12596, 269, 1656, 952, 596, 2461, 3168, 585, 1945, 3063, 2027, 267, 581, 2386, 547, 2638, 856, 741, 15847, 2732, 1899, 2336, 313, 12685, 328, 30078, 5794, 5937, 3072, 30340, 1234, 10360, 568, 513, 1390, 1426, 585, 15847, 7314, 269, 898, 568, 1500, 609, 1152, 2067, 5820, 267, 814, 1100, 9274, 543, 568, 1970, 538, 4006, 269, 901, 1426, 2488, 707, 3032, 609, 782, 519, 5567, 789, 991, 547, 3251, 2635, 543, 6126, 563, 7804, 4432, 8124, 779, 717, 1778, 6363, 872, 9697, 5253, 568, 513, 1390, 3903, 585, 15847, 7314, 269, 898, 568, 1500, 609, 782, 5991, 1823, 5820, 543, 814, 1100, 9274, 267, 865, 621, 568, 3501, 585, 1346, 7314, 945, 991, 547, 1832, 741, 1973, 4006, 2157, 896, 1852, 563, 23325, 30159, 8187, 15227, 9697, 5253, 568, 4481, 2966, 547, 2743, 519, 9422, 2115, 540, 7314, 609, 3987, 267, 543, 621, 779, 849, 1970, 538, 8477, 543, 3170, 269, 769, 1840, 267, 713, 2732, 3568, 782, 5991, 1823, 5820, 602, 616, 9543, 593, 707, 3032, 779, 10347, 1062, 269, 1924, 2436, 596, 2461, 3168, 585, 513, 14312, 1426, 4781, 585, 707, 24566, 3659, 610, 596, 1175, 1616, 547, 1118, 2386, 789, 2461, 3478, 519, 1655, 2009, 1416, 267, 9791, 30159, 8187, 15227, 1058, 581, 693, 519, 1283, 540, 707, 1592, 563, 268, 30839, 15847, 7314, 513, 5402, 9709, 2732, 602, 2882, 2614, 3940, 267, 19719, 267, 543, 3170, 568, 1898, 563, 268, 19949, 1058, 849, 581, 16913, 5781, 676, 513, 16943, 547, 2327, 789, 616, 5329, 741, 1973, 4006, 2157, 896, 1852, 563, 268, 30839, 15847, 7314, 513, 1134, 28394, 2331, 2732, 602, 2882, 4195, 267, 1164, 7779, 1426, 568, 519, 1655, 1259, 547, 1832, 873, 2635, 543, 6126, 563, 24078, 713, 2376, 5363, 286, 2913, 721, 917, 2336, 763, 1826, 540, 1426, 602, 596, 3049, 547, 519, 3032, 786, 4096, 593, 922, 2085, 267, 2534, 1377, 267, 543, 1072, 4567, 269, 634, 2732, 585, 15847, 535, 3894, 1058, 711, 1331, 1164, 19339, 3536, 610, 24494, 16152, 1317, 891, 666, 1291, 547, 2597, 2744, 543, 1118, 519, 2783, 8338, 269, 4400, 1922, 756, 516, 3536, 616, 2356, 5227, 585, 15847, 7314, 1317, 789, 948, 1852, 1973, 4006, 2157, 563, 763, 2626, 568, 9811, 543, 1100, 269, 22911, 3536, 616, 711, 3983, 585, 15847, 7314, 267, 855, 789, 1058, 581, 2016, 538, 20208, 269, 901, 568, 1317, 6632, 3536, 2270, 513, 2603, 540, 4006, 543, 11950, 267, 799, 666, 1291, 547, 1164, 1973, 4006, 2157, 538, 15847, 7314, 269, 1879, 4758, 6632, 1426, 267, 621, 779, 1271, 547, 1118, 2386, 602, 519, 1426, 568, 1970, 538, 6070, 543, 3170, 1543, 269, 2755, 972, 568, 1100, 2698, 10826, 585, 26804, 3987, 267, 741, 4006, 2157, 666, 581, 14931, 609, 7378, 3797, 563, 290, 1846, 666, 581, 16602, 547, 1491, 1416, 540, 267, 855, 952, 596, 723, 513, 15847, 3032, 267, 972, 616, 930, 3606, 1919, 596, 991, 547, 2057, 865, 602, 707, 3032, 3085, 1406, 1995, 1022, 8374, 563, 268, 1411, 1058, 2760, 3049, 707, 15847, 3032, 4376, 609, 1164, 2157, 540, 4006, 563, 268, 3680, 8023, 873, 1022, 13000, 610, 1426, 602, 568, 711, 4481, 2966, 585, 15847, 7314, 563, 268, 1403, 596, 2461, 8049, 827, 1018, 2186 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 834, 24927, 1220, 271, 29177, 258, 476, 630, 1729, 4159, 2418, 3436, 476, 274, 4200, 280, 269, 2368, 931, 3421, 267, 971, 607, 8837, 4699, 323, 267, 3112, 1477, 258, 476, 630, 2745, 873, 269, 21506, 258, 1477, 258, 476, 630, 516, 2399, 1819, 689, 31718, 1599, 910, 1477, 258, 476, 630, 15884, 3623, 1836, 3398, 3592, 1022, 795, 18443, 540, 10001, 311, 299, 7374, 300, 1477, 258, 476, 630, 528, 786, 3398, 1022, 27033, 1712, 3009, 1448, 799, 568, 513, 25948, 4484, 1477, 258, 476, 630, 476, 4534, 1775, 4318, 269, 1141, 27033, 10757, 1092, 8542, 10179, 545, 3890, 568, 3989, 1477, 258, 476, 630, 5591, 3801, 568, 1500, 547, 3747, 2413, 3339, 1436, 540, 3403, 12673, 23228, 258, 476, 630, 5408, 5291, 2517, 523, 25769, 3820, 28293, 24250, 2674, 19571, 5644, 5897, 258, 476, 901, 3009, 568, 5950, 543, 13931, 896, 519, 2474, 540, 519, 717, 12195, 1477, 258, 476, 610, 267, 693, 519, 3593, 781, 4781, 267, 519, 645, 16256, 12689, 607, 9138, 693, 519, 1477, 258, 476, 1739, 15745, 338, 6769, 258, 567, 5291, 2517, 4178, 8807, 872, 2125, 323, 3820, 11305, 9728, 11721, 872, 2125, 323, 268, 997, 1619, 11258, 1477, 258, 567, 5291, 2517, 4178, 3052, 20692, 3820, 11305, 641, 1803, 1111, 17320, 680, 11258, 1477, 258, 1477, 258, 567, 769, 1022, 2680, 621, 568, 3177, 1863, 540, 5279, 267, 834, 553, 28104, 257, 543, 28025, 1477, 258, 567, 1510, 1022, 15549, 344, 269, 567, 2422, 621, 267, 22600, 548, 621, 267, 6451, 621, 883, 1477, 258, 567, 1022, 3301, 602, 786, 723, 621, 269, 5897, 5228, 6449, 325, 1956, 1029, 1104, 1820, 6958, 4233, 1948, 4103, 593, 9226, 476, 273, 269, 277, 543, 909, 5897, 1029, 10461, 1029, 815, 834, 309, 1716, 517, 23045, 2999, 591, 333, 1180, 1723, 548, 693, 575, 21166, 2593, 285, 609, 7064, 547, 6276, 570, 269, 667, 12447, 29177, 1029, 11437, 1029, 815, 834, 272, 269, 271, 269, 272, 257, 5897, 339, 787, 6769, 825, 1104, 27033, 10757, 1092, 1477, 825, 27033, 1712, 17582, 815, 6936, 1477, 21955, 6769, 825, 27033, 1712, 17582, 815, 8771, 476, 1948, 11635, 23911, 960, 19925, 1477, 258, 31711, 17756, 1477, 5035, 4936, 13286, 263, 19368, 13286, 2567, 1780, 1477, 5035, 4934, 8170, 305, 1052, 13286, 27562, 2674, 13286, 2567, 1780, 1477, 5035, 769, 20777, 31718, 19617, 1968, 13286, 27562, 2674, 13286, 2567, 1780, 5897, 5035, 4936, 17301, 2567, 672, 1948, 3698, 710, 834, 31718, 257, 607, 513, 15410, 540, 703, 1477, 825, 5727, 12218, 4936, 568, 513, 15410, 540, 834, 842, 29177, 825, 5581, 676, 281, 4936, 263, 11277, 264, 610, 4936, 3488, 11277, 10807, 610, 4936, 3488, 290, 18958, 7656, 10807, 18851, 24541, 825, 1219, 6449, 2908, 9191, 743, 338, 267, 301, 284, 271, 8029, 1038, 952, 568, 27349, 18217, 267, 263, 1598, 267, 684, 545, 1712, 264, 2567, 1948, 604, 2415, 568, 513, 5569, 1477, 2018, 2119, 6769, 3546, 562, 815, 703, 18217, 264, 23526, 1948, 949, 581, 513, 8918, 5569, 1477, 2018, 4849, 28759, 6769, 3546, 2119, 6769, 7386, 562, 815, 689, 31718, 18217, 264, 825, 1948, 610, 949, 581, 513, 19005, 1297, 1477, 3546, 4849, 769, 20777, 31718, 19617, 1968, 13286, 6769, 13376, 6318, 769, 20777, 31718, 19617, 1968, 13286, 267, 1422, 1477, 23351, 1412, 8253, 513, 4570, 4936, 610, 12428, 1297, 281, 257, 260, 338, 257, 262, 260, 301, 1477, 1038, 3116, 6769, 2018, 562, 815, 703, 18217, 264, 4449, 672, 1948, 610, 513, 25948, 1871, 1477, 1038, 952, 562, 2999, 476, 271, 610, 562, 3436, 476, 276, 4200, 15886, 6769, 2018, 6318, 4934, 8170, 305, 1052, 13286, 267, 1412, 4692, 2254, 4558, 834, 260, 338, 257, 607, 4936, 262, 4939, 1065, 337, 18217, 3418, 1038, 2132, 703, 14857, 2908, 9191, 743, 338, 19885, 264, 19930, 1948, 4558, 607, 606, 703, 5897, 825, 1219, 6449, 1598, 9191, 1345, 8029, 1038, 2132, 547, 31718, 4311, 14857, 842, 1029, 28829, 8587, 1948, 1820, 856, 607, 4936, 1297, 5897, 825, 1219, 6449, 516, 1440, 9191, 1345, 8029, 1038, 2132, 1412, 31718, 263, 260, 323, 264, 262, 4939, 1582, 14857, 842, 1029, 3890, 1948, 7866, 1018, 781, 3330, 5897, 825, 1219, 6449, 6352, 9191, 1345, 8029, 1038, 2132, 7003, 263, 1729, 31718, 4311, 14857, 842, 1029, 3890, 17903, 825, 1219, 6449, 5417, 9191, 1345, 267, 1278, 2567, 3546, 1948, 865, 602, 4083, 1341, 4083, 815, 10001, 1477, 1038, 2132, 4936, 4311, 14857, 842, 1029, 3890, 1341, 824, 3418, 825, 1219, 6449, 11357, 9191, 1345, 267, 1278, 8029, 1038, 2132, 4936, 4311, 14857, 842, 1029, 3890, 910, 824, 3418, 825, 1219, 6449, 332, 592, 9191, 1345, 267, 1278, 8029, 1038, 2132, 4936, 4311, 14857, 842, 1029, 3890, 2608, 824, 3418, 825, 1219, 6449, 4148, 334, 867, 643, 9191, 1345, 267, 1278, 8029, 1038, 2132, 4936, 4311, 14857, 842, 1029, 3890, 12262, 824, 3418, 825, 1219, 6449, 1326, 3430, 337, 9191, 1345, 267, 4067, 2567, 567, 1948, 538, 2013, 2576, 13290, 19005, 27841, 1477, 1038, 952, 2012, 2652, 1412, 7407, 262, 6769, 2018, 2132, 1582, 14857, 842, 9191, 3418, 1038, 6318, 5900, 25572, 13286, 267, 1412, 13911, 4936, 1281, 711, 5581, 834, 260, 338, 257, 262, 260, 4067, 1477, 24541, 258, 22417, 2067, 2338, 547, 741, 4936, 1003, 1968, 11269, 21506, 258, 543, 13030, 17930, 269, 5897, 258, 3689, 649, 12314, 513, 8675, 540, 25948, 2418, 609, 1477, 258, 741, 4936, 1003, 1968, 630, 11415, 18351, 264, 5973, 757, 607, 5205, 6769, 318, 305, 558, 28121, 1948, 684, 545, 1712, 3009, 2798, 585, 1804, 4936, 6613, 5644, 1477, 579, 257, 315, 340, 25908, 279, 9899, 1911, 1822, 267, 1948, 19972, 338, 899, 513, 4484, 594, 936, 2745, 539, 609, 1614, 11777, 1417, 878, 10580, 4534, 5291, 2517, 5570, 976, 9884, 1731, 12855, 3820, 28293, 270, 17572, 281, 308, 260, 273, 289, 25908, 279, 4732, 341, 326, 1477, 579, 257, 315, 340, 25908, 273, 315, 340, 25908, 279, 9899, 12010, 876, 267, 1477, 579, 257, 315, 340, 25908, 278, 9899, 4335, 876, 267, 476, 1948, 19972, 338, 899, 3368, 540, 579, 25908, 279, 610, 476, 274, 667, 781, 4534, 5291, 2517, 5570, 976, 9884, 1731, 12855, 3820, 28293, 270, 17572, 281, 308, 260, 273, 289, 25908, 278, 4732, 341, 326, 1477, 579, 257, 315, 340, 25908, 273, 315, 340, 25908, 278, 9899, 6110, 876, 267, 1477, 579, 257, 315, 340, 25908, 273, 9899, 1911, 876, 267, 476, 1948, 19972, 338, 899, 1079, 11777, 1417, 878, 10580, 593, 513, 7299, 3046, 4534, 5291, 2517, 4178, 8807, 850, 8971, 29335, 270, 16769, 270, 684, 545, 1712, 270, 10420, 270, 25908, 273, 27651, 21867, 1477, 579, 257, 300, 315, 340, 25908, 273, 9899, 12010, 271, 267, 1477, 579, 257, 315, 340, 25908, 272, 9899, 4335, 271, 267, 1948, 19972, 338, 899, 1079, 936, 2745, 539, 667, 781, 4534, 5291, 2517, 4178, 8807, 850, 8971, 29335, 270, 16769, 270, 684, 545, 1712, 270, 10420, 270, 25908, 272, 27651, 21867, 1477, 579, 257, 300, 315, 340, 25908, 272, 9899, 6110, 271, 267, 1477, 579, 257, 300, 9899, 1911, 271, 267, 567, 1948, 2834, 32412, 2862, 5022, 585, 2834, 2450, 4936, 6613, 5644, 1477, 579, 257, 13967, 9899, 12010, 267, 1477, 579, 257, 291, 9899, 476, 4335, 267, 1477, 579, 257, 7374, 9899, 6110, 267, 21506, 579, 257, 290, 9899, 476, 1911, 267, 1477, 579, 257, 311, 290, 9899, 476, 3445, 267, 1477, 579, 257, 299, 9899, 476, 476, 2004, 267, 1477, 579, 257, 311, 299, 9899, 476, 2412, 267, 1477, 579, 257, 311, 9899, 476, 476, 1015, 267, 1477, 579, 19285, 311, 9899, 476, 476, 280, 267, 1477, 579, 257, 309, 9899, 567, 476, 276, 267, 1477, 579, 257, 4353, 9899, 476, 476, 275, 267, 1477, 579, 19285, 9899, 567, 476, 272, 267, 1477, 579, 257, 297, 9899, 272, 1948, 4310, 607, 519, 3803, 1412, 296, 262, 538, 930, 3504, 5931, 1477, 7684, 1477, 258, 1284, 849, 1711, 513, 5311, 24042, 538, 27312, 1931, 23228, 258, 898, 781, 585, 954, 908, 936, 519, 1871, 1592, 538, 513, 10375, 1931, 269, 5897, 258, 1284, 1331, 519, 1079, 268, 12072, 21797, 630, 4353, 267, 18328, 267, 7131, 267, 2473, 290, 267, 3092, 264, 1317, 1477, 258, 621, 2306, 938, 1292, 7503, 8520, 12863, 630, 553, 649, 3513, 1294, 1040, 1477, 258, 26023, 621, 1797, 649, 666, 8520, 2786, 998, 1510, 2348, 1477, 258, 547, 31391, 513, 19619, 540, 16163, 532, 2783, 1023, 630, 1492, 5311, 267, 1519, 1477, 258, 519, 1079, 4484, 21797, 2907, 16621, 1034, 519, 519, 16163, 532, 1477, 258, 3652, 585, 19005, 1003, 1968, 12673, 1040, 567, 5897, 318, 305, 558, 5353, 336, 815, 630, 579, 257, 315, 340, 25908, 279, 2580, 340, 257, 315, 340, 25908, 273, 315, 340, 25908, 279, 2580, 340, 257, 315, 340, 25908, 278, 2580, 340, 257, 315, 340, 25908, 273, 315, 340, 25908, 278, 2580, 340, 257, 315, 340, 25908, 273, 2580, 340, 257, 300, 315, 340, 25908, 273, 2580, 579, 257, 315, 340, 25908, 272, 2580, 579, 257, 300, 315, 340, 25908, 272, 2580, 1477, 19930, 579, 257, 300, 2580, 579, 257, 13967, 2580, 579, 257, 291, 2580, 579, 257, 7374, 2580, 579, 257, 290, 2580, 579, 257, 311, 290, 2580, 579, 257, 299, 2580, 579, 257, 311, 299, 2580, 21506, 11434, 579, 257, 311, 2580, 579, 19285, 311, 2580, 579, 257, 309, 2580, 579, 257, 4353, 2580, 579, 19285, 2580, 579, 257, 297, 257, 476, 3418, 258, 901, 2636, 721, 547, 6460, 689, 9352, 547, 4936, 538, 827, 476, 278, 3515, 21506, 258, 540, 3009, 282, 543, 689, 4936, 1394, 547, 9352, 1447, 982, 476, 736, 5897, 3698, 547, 31718, 18217, 8029, 825, 834, 8971, 513, 9352, 1297, 607, 513, 4936, 27033, 1712, 5569, 1701, 1477, 825, 952, 715, 2652, 476, 271, 281, 2132, 579, 262, 301, 1638, 320, 262, 1948, 7792, 1871, 585, 20023, 568, 834, 301, 1638, 320, 29177, 825, 1948, 610, 834, 301, 341, 12848, 257, 855, 594, 1589, 519, 1412, 340, 262, 4443, 547, 1224, 982, 519, 5824, 1412, 341, 262, 1477, 825, 562, 815, 703, 18217, 3418, 825, 952, 562, 2999, 476, 271, 610, 562, 3436, 476, 276, 4200, 15886, 6769, 1038, 6318, 4934, 8170, 305, 1052, 13286, 267, 1412, 4692, 2254, 6460, 834, 260, 338, 257, 547, 4936, 262, 4939, 1065, 337, 18217, 3418, 825, 1267, 284, 3269, 1477, 258, 567, 3776, 1267, 6238, 607, 606, 8900, 5569, 23228, 258, 1284, 954, 622, 936, 519, 5311, 540, 19005, 1003, 1968, 5057, 12673, 1477, 258, 952, 519, 7222, 1871, 630, 1492, 1871, 2404, 609, 834, 300, 257, 610, 834, 13967, 2580, 3092, 3418, 258, 568, 3152, 982, 938, 1297, 267, 649, 16289, 519, 1699, 5569, 547, 21506, 258, 938, 1267, 543, 10208, 922, 7222, 1871, 689, 938, 5299, 540, 562, 1477, 825, 585, 521, 538, 9041, 305, 558, 5353, 336, 281, 476, 1948, 2119, 1142, 5057, 5569, 1477, 1038, 1247, 562, 13843, 9041, 305, 558, 314, 338, 13912, 1948, 2394, 621, 568, 1100, 3476, 538, 2039, 1477, 2018, 1267, 815, 1267, 1341, 521, 1948, 5569, 6677, 22760, 566, 630, 2254, 1840, 3418, 2018, 562, 20699, 9041, 305, 558, 314, 338, 316, 1038, 1948, 2979, 3901, 673, 12408, 1477, 825, 2132, 1267, 5897, 3698, 689, 31718, 22829, 8029, 825, 834, 3519, 3200, 513, 19005, 1003, 1968, 5569, 547, 9352, 29177, 825, 952, 1826, 22829, 264, 568, 4936, 281, 2132, 703, 22829, 264, 1948, 514, 2013, 621, 2907, 4959, 4936, 1477, 825, 1267, 284, 271, 1477, 825, 1948, 3399, 676, 14291, 547, 5580, 2013, 585, 13418, 1477, 825, 721, 815, 590, 14714, 8692, 14061, 21639, 14052, 825, 2119, 6769, 1038, 521, 815, 27033, 1712, 263, 639, 3418, 825, 4849, 1133, 545, 1712, 5319, 13892, 13286, 281, 1948, 11635, 23911, 17079, 1477, 1038, 521, 815, 721, 1477, 825, 1948, 11687, 585, 4642, 1477, 825, 952, 521, 2652, 15234, 610, 521, 2652, 579, 262, 301, 262, 610, 521, 11468, 276, 316, 2652, 579, 262, 301, 8085, 6369, 9166, 476, 1948, 5824, 585, 834, 333, 5847, 29177, 1038, 2132, 476, 271, 1477, 258, 901, 16866, 5690, 630, 309, 5861, 1961, 264, 786, 7157, 6460, 1022, 7157, 4646, 1477, 258, 4936, 1297, 269, 898, 786, 849, 6460, 6266, 540, 27235, 4646, 2338, 267, 543, 786, 1477, 258, 3398, 1022, 4999, 540, 32412, 2862, 1412, 300, 7374, 299, 311, 9654, 262, 543, 27033, 1712, 4936, 6613, 1968, 3009, 2798, 23228, 825, 4371, 815, 476, 271, 825, 1948, 713, 568, 519, 3965, 585, 519, 3105, 4936, 7857, 1871, 1477, 825, 585, 524, 538, 521, 281, 825, 1948, 10472, 786, 1205, 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 ]
[ 16009, 317, 273, 288, 8358, 273, 11927, 288, 6911, 322, 264, 13651, 1109, 259, 273, 11927, 288, 14370, 272, 1341, 16009, 317, 273, 288, 22491, 323, 264, 13651, 1109, 259, 263, 11927, 317, 273, 288, 1107, 476, 272, 8358, 273, 11927, 288, 6911, 9223, 476, 279, 281, 13651, 1109, 1432, 568, 519, 1871, 540, 5609, 476, 4968, 13651, 4113, 2496, 320, 264, 13651, 1109, 268, 272, 270, 273, 692, 321, 264, 13651, 1109, 273, 692, 322, 264, 13651, 1109, 273, 270, 5889, 24994, 20795, 274, 692, 323, 264, 13651, 1109, 268, 5889, 24994, 20795, 274, 270, 273, 692, 9223, 476, 280, 281, 13651, 1109, 2252, 12882, 24994, 20795, 259, 263, 272, 1107, 5430, 317, 273, 288, 7751, 815, 1535, 267, 1287, 519, 1871, 540, 1535, 568, 692, 320, 264, 13651, 1109, 322, 846, 322, 288, 692, 321, 264, 13651, 1109, 7562, 288, 692, 322, 264, 13651, 1109, 11927, 288, 692, 323, 264, 13651, 1109, 5913, 288, 692, 9223, 476, 1015, 281, 13651, 1109, 2252, 5430, 288, 14370, 272, 1107, 5609, 288, 264, 815, 1535, 267, 1287, 519, 1871, 540, 1535, 568, 692, 320, 264, 13651, 1109, 5913, 288, 1107, 16009, 288, 692, 321, 264, 13651, 1109, 322, 846, 322, 288, 1341, 16009, 288, 692, 322, 264, 13651, 1109, 5913, 288, 1341, 16009, 288, 692, 323, 264, 13651, 1109, 322, 846, 322, 288, 1107, 16009, 288, 692, 9223, 476, 1556, 281, 13651, 1109, 26115, 30692, 1403, 4399, 6912, 18950, 5913, 317, 273, 288, 268, 272, 264, 13157, 343, 8961, 1287, 519, 1871, 540, 1535, 568, 692, 320, 264, 13651, 1109, 20799, 288, 692, 321, 264, 13651, 1109, 11927, 288, 692, 322, 264, 13651, 1109, 322, 846, 322, 288, 692, 323, 264, 13651, 1109, 6523, 288, 692, 9223, 476, 1321, 281, 13651, 1109, 1432, 568, 519, 1871, 540, 1269, 6523, 317, 273, 288, 14370, 272, 1341, 5609, 288, 7751, 2496, 320, 264, 13651, 1109, 272, 1341, 5609, 288, 692, 321, 264, 13651, 1109, 272, 910, 13651, 30692, 5609, 288, 692, 322, 264, 13651, 1109, 272, 26115, 30692, 268, 3813, 288, 692, 323, 264, 13651, 1109, 272, 1341, 3813, 288, 692, 9223, 476, 1724, 281, 13651, 1109, 2252, 18159, 20799, 288, 1107, 524, 846, 322, 288, 8203, 273, 815, 1535, 8961, 1287, 519, 1871, 540, 1535, 568, 692, 320, 264, 13651, 1109, 263, 272, 1107, 5430, 288, 19422, 272, 1341, 5430, 288, 2020, 321, 264, 13651, 1109, 263, 272, 1107, 5609, 288, 19422, 272, 1341, 5609, 288, 2020, 322, 264, 13651, 1109, 263, 272, 1107, 3813, 288, 19422, 272, 1341, 3813, 288, 2020, 323, 264, 13651, 1109, 263, 272, 1107, 524, 846, 322, 288, 19422, 272, 1341, 524, 846, 322, 288, 2020, 9223, 476, 1691, 281, 13651, 1109, 2252, 28422, 288, 815, 1535, 267, 1287, 519, 1871, 540, 1535, 568, 692, 320, 264, 13651, 1109, 5889, 24994, 20795, 259, 263, 5913, 317, 273, 288, 1341, 476, 272, 22491, 321, 264, 13651, 1109, 5889, 24994, 20795, 259, 263, 322, 846, 322, 317, 273, 288, 1341, 476, 272, 22491, 322, 264, 13651, 1109, 5889, 24994, 20795, 259, 263, 5913, 317, 273, 288, 1107, 476, 272, 22491, 323, 264, 13651, 1109, 5889, 24994, 20795, 259, 263, 322, 846, 322, 317, 273, 288, 1107, 476, 272, 22491, 9223, 476, 1428, 281, 13651, 1109, 2252, 5430, 476, 13301, 13651, 4113, 815, 1535, 267, 1287, 1871, 540, 1535, 568, 692, 320, 264, 13651, 1109, 268, 272, 270, 5889, 24994, 20795, 273, 692, 321, 264, 13651, 1109, 13651, 30692, 5889, 24994, 20795, 274, 270, 273, 692, 322, 264, 13651, 1109, 272, 270, 273, 692, 323, 264, 13651, 1109, 268, 272, 270, 273, 692, 9223, 476, 1626, 281, 13651, 1109, 2252, 476, 272, 270, 5889, 24994, 20795, 263, 272, 266, 259, 11927, 3867, 273, 4151, 288, 264, 815, 1535, 267, 1287, 1871, 540, 1535, 568, 692, 320, 264, 13651, 1109, 6523, 288, 692, 321, 264, 13651, 1109, 7562, 288, 692, 322, 264, 13651, 1109, 322, 846, 322, 288, 692, 323, 264, 13651, 1109, 5913, 288, 692, 9223, 476, 1704, 281, 13651, 1109, 1103, 799, 540, 519, 1739, 9076, 559, 831, 1023, 1152, 835, 6292, 540, 6587, 7285, 568, 24045, 2496, 320, 264, 13651, 1109, 3674, 30801, 3004, 19649, 1756, 692, 321, 264, 13651, 1109, 13640, 5537, 6945, 692, 323, 264, 13651, 1109, 305, 624, 4120, 692, 9223, 476, 1240, 281, 13651, 1109, 1432, 568, 519, 1871, 540, 12882, 24994, 20795, 27007, 272, 1341, 5609, 288, 19422, 272, 26115, 30692, 268, 5609, 288, 13580, 2496, 320, 264, 13651, 1109, 5913, 288, 26115, 30692, 268, 16009, 288, 692, 321, 264, 13651, 1109, 322, 846, 322, 288, 1341, 16009, 288, 692, 322, 264, 13651, 1109, 5913, 288, 1341, 16009, 288, 692, 323, 264, 13651, 1109, 322, 846, 322, 288, 26115, 30692, 268, 16009, 288, 692, 9223, 476, 866, 281, 13651, 1109, 2252, 630, 272, 1341, 5609, 288, 8358, 6523, 288, 1341, 5430, 288, 14370, 272, 1341, 5609, 288, 264, 815, 1535, 267, 1287, 519, 1871, 540, 1535, 568, 692, 320, 264, 13651, 1109, 273, 322, 846, 322, 288, 692, 321, 264, 13651, 1109, 273, 259, 322, 846, 322, 3867, 273, 4151, 288, 692, 322, 264, 13651, 1109, 273, 259, 5913, 3867, 273, 4151, 288, 692, 323, 264, 13651, 1109, 273, 5913, 288, 692, 9223, 476, 736, 281, 13651, 1109, 2252, 16009, 476, 20065, 13651, 4113, 815, 1535, 267, 1287, 519, 1871, 540, 1535, 568, 692, 320, 264, 13651, 1109, 7445, 2765, 24877, 272, 7346, 6912, 346, 274, 32556, 321, 264, 13651, 1109, 259, 346, 10559, 6912, 346, 274, 32556, 322, 264, 13651, 1109, 7445, 2765, 24877, 272, 2410, 273, 10592, 323, 264, 13651, 1109, 7445, 2765, 24877, 272, 7346, 6912, 346, 273, 32556, 2750, 16054, 13651, 1109, 281, 13651, 1109, 259, 263, 272, 1341, 28422, 288, 22722, 273, 348, 1341, 630, 272, 2275, 582, 288, 22722, 273, 10592, 284, 18159, 272, 266, 20799, 317, 273, 288, 266, 273, 20799, 288, 11924, 263, 272, 266, 20799, 317, 273, 288, 268, 273, 20799, 288, 22491, 284, 1269, 273, 266, 273, 20799, 317, 273, 288, 284, 273, 263, 272, 266, 20799, 317, 273, 288, 22491, 7445, 20357, 259, 18159, 322, 846, 322, 317, 273, 288, 2275, 582, 317, 273, 288, 284, 272, 22491, 284, 1269, 273, 322, 846, 322, 317, 273, 288, 6911, 27784, 5775, 1107, 630, 288, 2020, 2750, 16054, 13651, 1109, 281, 13651, 1109, 20799, 476, 13670, 13651, 4113, 815, 1535, 692, 284, 1269, 20799, 263, 5197, 268, 3393, 22491, 284, 1269, 268, 20799, 263, 3393, 22491, 284, 1269, 268, 272, 6911, 27784, 5775, 1107, 630, 290, 2020, 2750, 16054, 13651, 1109, 281, 4399, 2765, 3189, 6912, 346, 272, 2275, 657, 317, 273, 288, 12453, 6523, 288, 10592, 7445, 20357, 630, 7562, 317, 273, 288, 266, 6523, 317, 273, 288, 284, 272, 22491, 284, 4399, 2765, 3189, 6912, 346, 7562, 317, 273, 288, 12453, 6523, 288, 10592, 284, 4399, 2765, 346, 7562, 288, 2410, 6523, 288, 348, 815, 16009, 288, 6911, 27784, 5775, 1107, 630, 290, 2020, 2750, 16054, 13651, 1109, 281, 13651, 1109, 7445, 6912, 346, 24560, 2765, 18950, 272, 1107, 5609, 288, 20972, 263, 272, 1341, 5609, 288, 264, 3686, 316, 6911, 11372, 28745, 1312, 19362, 543, 14009, 676, 1269, 7268, 6912, 346, 272, 266, 7562, 288, 16585, 6911, 284, 13651, 1109, 7445, 6912, 346, 24560, 2765, 18950, 272, 1107, 5609, 288, 20972, 263, 272, 1341, 5609, 288, 264, 3686, 316, 259, 4399, 9392, 1422, 6912, 3189, 2765, 18950, 272, 266, 7562, 288, 20972, 263, 272, 266, 7562, 288, 264, 32556, 284, 4399, 6912, 3189, 2765, 346, 272, 1606, 514, 317, 273, 288, 2410, 263, 272, 266, 7562, 288, 8203, 273, 3686, 815, 1422, 6912, 3189, 2765, 346, 6523, 317, 273, 288, 2410, 263, 272, 266, 7562, 288, 8203, 273, 32556, 284, 4399, 2765, 346, 6523, 288, 2410, 272, 266, 7562, 288, 10592, 27784, 5775, 1107, 630, 290, 2020, 2750, 16054, 13651, 1109, 281, 4399, 2765, 26231, 846, 322, 288, 2410, 322, 846, 322, 288, 268, 272, 23180, 2765, 26231, 846, 322, 288, 2410, 322, 846, 322, 288, 266, 272, 10592, 284, 1269, 314, 7268, 2765, 346, 272, 2410, 7562, 288, 348, 9385, 15965, 7268, 2765, 346, 272, 2410, 7562, 288, 18511, 272, 13580, 266, 314, 7268, 2765, 346, 272, 2410, 7562, 288, 348, 9385, 15965, 7268, 2765, 346, 272, 2410, 7562, 288, 15396, 272, 13580, 6911, 284, 1269, 314, 7268, 2765, 346, 272, 2410, 7562, 288, 348, 9385, 15965, 7268, 2765, 346, 272, 1606, 514, 288, 2410, 7562, 288, 348, 13580, 266, 314, 7268, 2765, 346, 272, 2410, 7562, 288, 348, 9385, 15965, 7268, 2765, 346, 272, 266, 7562, 288, 2410, 7562, 288, 348, 13580, 6911, 284, 1269, 314, 7268, 2765, 346, 272, 2410, 7562, 288, 16585, 1422, 9392, 22570, 2765, 346, 7562, 288, 2410, 272, 1606, 514, 288, 348, 13580, 266, 314, 7268, 2765, 346, 272, 2410, 7562, 288, 16585, 1422, 9392, 22570, 2765, 346, 7562, 288, 2410, 272, 266, 7562, 288, 348, 13580, 6911, 284, 1269, 7268, 2765, 346, 272, 2410, 272, 1606, 514, 288, 348, 11924, 7268, 2765, 346, 272, 2410, 272, 266, 7562, 288, 16585, 6911, 284, 4399, 2765, 18950, 272, 266, 7562, 288, 11924, 263, 272, 1606, 514, 288, 20972, 263, 272, 266, 7562, 288, 7565, 272, 1606, 514, 288, 14587, 815, 1422, 2765, 346, 273, 2410, 272, 1606, 514, 317, 273, 288, 10592, 284, 4399, 2765, 346, 273, 2410, 6523, 317, 273, 288, 348, 815, 476, 273, 5913, 317, 273, 288, 6911, 27784, 5775, 1107, 630, 291, 2020, 2750, 16054, 13651, 1109, 281, 13651, 1109, 20799, 476, 1789, 13651, 4113, 1107, 5430, 476, 3393, 13651, 4113, 815, 1535, 692, 284, 4399, 6912, 346, 274, 348, 1107, 1422, 2765, 346, 272, 7346, 6912, 346, 273, 32556, 284, 4399, 2765, 3189, 6912, 346, 277, 18511, 272, 7346, 6912, 346, 273, 32556, 27784, 5775, 1107, 630, 289, 2020, 2750, 16054, 13651, 1109, 281, 1269, 11927, 263, 273, 288, 22491, 7445, 20357, 16009, 10490, 266, 289, 21174, 2765, 346, 11927, 288, 266, 11927, 289, 2410, 272, 2389, 534, 4263, 534, 289, 10592, 3725, 680, 5217, 645, 676, 589, 692, 27784, 1269, 11927, 10490, 266, 288, 21174, 2765, 346, 11927, 288, 266, 11927, 288, 2410, 272, 2389, 534, 4263, 534, 288, 10592, 27784, 1269, 11927, 263, 273, 288, 21174, 2765, 346, 273, 11927, 288, 2410, 272, 2389, 534, 317, 273, 288, 10592, 27784, 5775, 1107, 630, 288, 2020, 2750, 16054, 13651, 1109, 281, 13651, 1109, 7562, 476, 4968, 13651, 4113, 692, 284, 1269, 7562, 263, 11740, 268, 2568, 22491, 284, 1269, 268, 7562, 263, 2568, 22491, 284, 4399, 2765, 346, 10559, 6912, 346, 274, 12453, 273, 10592, 27784, 5775, 1107, 630, 291, 2020, 2750, 16054, 13651, 1109, 281, 4399, 6912, 346, 272, 2275, 657, 317, 273, 288, 10592, 7445, 20357, 630, 7562, 317, 273, 288, 266, 6523, 317, 273, 288, 284, 272, 22491, 284, 4399, 6912, 346, 7562, 317, 273, 288, 13157, 7562, 288, 6911, 27784, 5775, 1107, 630, 289, 2020, 2750, 16054, 13651, 1109, 281, 13651, 1109, 6523, 288, 14370, 272, 1107, 5609, 288, 264, 815, 1535, 692, 11372, 28745, 1312, 19362, 543, 14009, 676, 18159, 272, 266, 7562, 288, 22491, 284, 4399, 2765, 346, 6523, 288, 2410, 272, 1606, 514, 288, 348, 1422, 9392, 1422, 2765, 18950, 272, 266, 7562, 288, 20972, 263, 272, 266, 7562, 288, 264, 10592, 284, 4399, 2765, 346, 6523, 288, 263, 272, 266, 7562, 288, 20972, 272, 1606, 514, 317, 273, 288, 348, 815, 1422, 2765, 346, 6523, 288, 263, 272, 266, 7562, 288, 20972, 6523, 317, 273, 288, 10592, 284, 4399, 2765, 346, 272, 266, 7562, 288, 2410, 6523, 288, 348, 815, 22570, 2765, 346, 272, 2410, 6523, 288, 23180, 2765, 346, 7562, 288, 2410, 6523, 288, 16585, 6911, 284, 1269, 5913, 288, 266, 11927, 288, 6911, 27784, 5775, 1107, 630, 290, 2020, 2750, 16054, 13651, 1109, 281, 13651, 1109, 7445, 6912, 18950, 5913, 317, 273, 288, 268, 272, 264, 13157, 343, 6911, 7445, 20357, 630, 5913, 317, 273, 288, 2389, 534, 317, 273, 288, 284, 272, 22491, 284, 4399, 6912, 346, 11927, 317, 273, 288, 348, 815, 16009, 288, 6911, 27784, 5775, 1107, 630, 289, 2020, 2750, 16054, 13651, 1109, 281, 13651, 1109, 259, 6523, 317, 273, 288, 14370, 272, 1341, 5609, 288, 22491, 11372, 28745, 1312, 19362, 543, 14009, 676, 18159, 272, 1606, 514, 288, 22491, 284, 4399, 2765, 346, 6523, 317, 273, 288, 2410, 272, 266, 7562, 288, 348, 1422, 9392, 1422, 2765, 18950, 272, 1606, 514, 288, 20972, 263, 272, 1606, 514, 288, 264, 10592, 284, 4399 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3234, 332, 1137, 267, 17799, 17869, 18490, 8430, 454, 268, 6424, 654, 24513, 1231, 454, 268, 1677, 9633, 610, 711, 547, 9633, 3788, 519, 2243, 454, 28989, 267, 972, 616, 1100, 2487, 2164, 585, 2442, 7044, 563, 1607, 568, 711, 513, 3621, 3542, 1107, 2164, 2992, 1152, 519, 8369, 540, 1346, 13359, 269, 0, 16631, 12876, 2904, 476, 1001, 279, 454, 1015, 4455, 476, 1001, 279, 454, 2171, 616, 9599, 547, 14773, 972, 786, 581, 513, 2257, 4023, 4371, 538, 938, 454, 25217, 593, 13638, 476, 2420, 526, 2904, 269, 634, 1655, 1303, 7847, 786, 979, 4464, 547, 454, 10517, 6974, 4024, 525, 2917, 12729, 3427, 693, 519, 12891, 2421, 3427, 2257, 4023, 2676, 531, 784, 609, 824, 3119, 3506, 689, 519, 2199, 1858, 267, 593, 13638, 476, 1321, 628, 454, 18907, 269, 1411, 1590, 1577, 7323, 623, 872, 576, 917, 952, 596, 786, 581, 10283, 538, 519, 454, 14396, 4023, 676, 13723, 476, 280, 628, 2904, 563, 2791, 786, 991, 547, 581, 2111, 547, 1459, 707, 1620, 540, 875, 454, 31138, 1568, 552, 3052, 269, 1215, 1281, 513, 10935, 10581, 286, 1315, 1215, 1281, 606, 3750, 960, 286, 1315, 454, 1692, 1281, 513, 1007, 1554, 2253, 286, 630, 2791, 6430, 26695, 2791, 666, 960, 543, 1544, 593, 707, 1378, 610, 609, 513, 7649, 630, 7224, 811, 982, 476, 273, 454, 704, 1895, 1040, 1411, 1590, 3132, 513, 3308, 4159, 547, 13173, 707, 454, 23024, 2939, 630, 10175, 707, 4408, 267, 2085, 543, 1032, 1895, 264, 543, 596, 786, 991, 454, 1729, 581, 2111, 547, 6542, 630, 16129, 3381, 610, 11147, 952, 621, 779, 30255, 610, 454, 5503, 10438, 14386, 543, 2491, 519, 2257, 3297, 707, 7634, 547, 606, 454, 7596, 1466, 910, 1832, 621, 2241, 563, 2791, 786, 2744, 3063, 5491, 585, 16046, 707, 454, 12047, 2970, 566, 30032, 4034, 12720, 270, 23024, 2939, 547, 513, 10196, 267, 2523, 952, 596, 454, 4754, 6318, 4656, 540, 14758, 1634, 3744, 563, 2690, 2093, 596, 949, 6999, 547, 946, 2835, 610, 1357, 4609, 267, 971, 607, 454, 4178, 4732, 7220, 321, 984, 2593, 543, 8940, 4732, 7220, 330, 1749, 16691, 8542, 345, 454, 26872, 7982, 547, 5022, 0, 1607, 729, 8704, 676, 7649, 674, 523, 652, 1537, 543, 786, 5818, 519, 8143, 4398, 540, 922, 24369, 561, 4545, 564, 8032, 26911, 4837, 9486, 630, 273, 332, 1535, 476, 271, 269, 276, 544, 264, 538, 519, 5087, 543, 5045, 6821, 563, 763, 3169, 4266, 540, 519, 4070, 540, 519, 5939, 568, 7164, 267, 855, 621, 568, 1767, 547, 723, 11478, 538, 476, 5611, 277, 1107, 811, 982, 476, 4335, 1296, 3516, 269, 19475, 1397, 602, 538, 476, 15876, 277, 267, 621, 729, 24905, 1194, 543, 32206, 269, 769, 476, 5908, 272, 972, 729, 513, 2101, 11808, 269, 31834, 540, 519, 2679, 971, 607, 519, 1804, 8122, 20832, 616, 689, 519, 3312, 5939, 563, 763, 20498, 543, 17175, 2776, 7304, 777, 3873, 601, 924, 7532, 6885, 267, 8704, 538, 476, 6942, 274, 267, 729, 2966, 676, 11977, 8738, 928, 11219, 2158, 267, 609, 930, 540, 519, 24223, 676, 16110, 8496, 2135, 9466, 267, 543, 1500, 676, 5261, 24261, 563, 763, 6149, 911, 1356, 344, 568, 3131, 12993, 538, 2511, 267, 799, 568, 519, 476, 274, 6113, 8978, 6498, 540, 575, 15402, 6189, 267, 609, 606, 8561, 593, 7299, 3515, 269, 898, 568, 1500, 909, 540, 6946, 6149, 1740, 267, 883, 799, 2947, 2000, 2074, 1694, 609, 11141, 26911, 4837, 10207, 563, 1103, 6284, 540, 519, 1657, 267, 19866, 4789, 9286, 4906, 5783, 607, 6103, 4083, 265, 5903, 539, 267, 547, 2149, 782, 922, 2934, 540, 11265, 1719, 563, 763, 8022, 540, 519, 5939, 568, 2196, 593, 606, 22573, 3282, 30187, 1062, 267, 799, 3217, 1896, 3108, 547, 3636, 909, 519, 5939, 269, 4495, 12699, 267, 513, 1804, 2179, 540, 713, 1648, 729, 4503, 998, 519, 3312, 9486, 563, 5353, 22701, 547, 6439, 1518, 713, 543, 1118, 519, 5939, 811, 6899, 267, 519, 5939, 12233, 8268, 3681, 547, 1732, 1202, 3634, 519, 2679, 563, 27716, 5783, 779, 7066, 5501, 337, 267, 6004, 17659, 12064, 267, 814, 513, 4282, 538, 3540, 4702, 267, 865, 1305, 827, 3168, 883, 6281, 1350, 5074, 585, 519, 9486, 563, 3891, 4862, 602, 513, 7404, 5939, 538, 519, 8498, 540, 769, 7714, 267, 1185, 8564, 698, 331, 10270, 6281, 1350, 5074, 8704, 269, 11374, 513, 3643, 972, 267, 547, 1294, 875, 621, 1131, 1413, 267, 646, 30409, 674, 523, 652, 1537, 267, 7649, 540, 8564, 698, 331, 10270, 585, 811, 982, 1079, 5756, 267, 547, 1865, 519, 1184, 540, 3695, 519, 2126, 540, 519, 24369, 2427, 9486, 563, 288, 3135, 3643, 12290, 519, 23761, 543, 3681, 585, 2126, 941, 5941, 269, 5221, 540, 519, 6988, 543, 5704, 2329, 540, 519, 7532, 6885, 267, 713, 729, 2451, 585, 519, 942, 1373, 269, 634, 6967, 9486, 941, 3670, 575, 15402, 30617, 538, 519, 5045, 3774, 543, 5722, 575, 15402, 30617, 538, 519, 5087, 3774, 282, 1142, 609, 3735, 476, 866, 628, 543, 2038, 476, 736, 628, 2540, 26911, 4837, 1107, 835, 540, 799, 729, 1776, 10875, 1374, 676, 8738, 928, 11219, 2158, 563, 3412, 9712, 2299, 2390, 4879, 267, 674, 523, 652, 1537, 6785, 713, 729, 2469, 547, 581, 513, 9157, 2816, 1107, 513, 8901, 3635, 267, 547, 960, 856, 875, 547, 3514, 519, 6281, 607, 1134, 607, 519, 1655, 2990, 547, 3888, 563, 2005, 729, 8815, 602, 10022, 476, 6078, 2427, 8288, 2013, 906, 1131, 581, 8704, 267, 547, 1683, 2407, 1569, 585, 7738, 543, 5826, 267, 4352, 1131, 3622, 581, 6854, 19526, 9505, 609, 519, 23574, 9376, 543, 3382, 6676, 563, 32207, 958, 267, 585, 8143, 9283, 267, 6281, 1350, 5074, 666, 581, 19034, 909, 2673, 547, 519, 9486, 267, 799, 7620, 519, 7817, 4941, 269, 1717, 267, 1317, 519, 8761, 941, 2620, 543, 521, 2452, 539, 267, 713, 1131, 711, 581, 2009, 267, 607, 519, 1283, 540, 519, 818, 3481, 7866, 1131, 2061, 519, 1283, 540, 519, 2895, 8032, 2013, 618, 1770, 6679, 4628, 563, 22492, 16025, 12406, 941, 3812, 609, 5594, 23762, 575, 15402, 17208, 9843, 543, 8704, 676, 513, 3810, 9952, 15790, 10938, 269, 589, 1390, 4308, 540, 31163, 532, 1185, 547, 581, 17298, 593, 3135, 547, 10018, 519, 14191, 3514, 543, 602, 513, 4009, 3068, 729, 4843, 585, 519, 6281, 1350, 5074, 547, 581, 8704, 563, 3528, 17501, 519, 4559, 683, 13145, 547, 519, 3068, 540, 519, 7866, 267, 519, 3119, 9486, 616, 25039, 529, 7019, 29600, 543, 519, 476, 1724, 267, 10022, 476, 6078, 2427, 8288, 2013, 906, 723, 24999, 547, 1930, 563, 16031, 17659, 12064, 29499, 281, 968, 27716, 5783, 568, 513, 2241, 5939, 609, 2185, 6821, 543, 513, 8486, 3481, 8122, 267, 855, 519, 17114, 616, 1360, 10694, 269, 634, 24369, 2427, 9486, 723, 476, 271, 269, 277, 544, 2620, 8761, 267, 799, 2285, 519, 562, 1511, 513, 2631, 540, 2230, 543, 1915, 563, 14071, 941, 7255, 602, 952, 519, 6281, 1350, 5074, 729, 19034, 693, 519, 3330, 6316, 540, 519, 8761, 621, 1131, 1267, 538, 513, 4216, 539, 2987, 4743, 269, 3143, 1079, 9486, 941, 3833, 519, 1482, 2450, 563, 2108, 15675, 698, 331, 10270, 729, 6074, 1317, 741, 4559, 1131, 711, 2154, 3606, 7299, 610, 8880, 1350, 5074, 13063, 267, 799, 1131, 723, 25848, 3293, 519, 26911, 4837, 9486, 563, 10527, 9858, 689, 674, 523, 652, 1537, 543, 8564, 698, 331, 10270, 7608, 938, 4170, 267, 543, 1369, 519, 4101, 9511, 540, 519, 521, 2452, 539, 8761, 609, 741, 11329, 30617, 267, 3812, 543, 19034, 519, 4559, 835, 3791, 519, 3178, 1394, 689, 519, 3330, 6316, 540, 519, 7866, 563, 22154, 849, 2306, 519, 14604, 5594, 3677, 982, 519, 26911, 4837, 9486, 267, 4061, 711, 1033, 24219, 689, 873, 269, 634, 960, 26206, 540, 519, 14604, 543, 741, 17501, 568, 540, 513, 1360, 1164, 3044, 267, 971, 602, 1369, 513, 1906, 4374, 519, 30798, 616, 15991, 3222, 540, 519, 1007, 1350, 5074, 269, 2368, 1256, 2161, 789, 4782, 873, 1631, 1317, 789, 7406, 519, 26911, 4837, 9486, 18991, 3034, 763, 5939, 814, 1631, 1044, 1500, 811, 5687, 958, 2500, 609, 519, 1840, 540, 6281, 1350, 5074, 543, 513, 5786, 538, 8022, 3790, 1058, 2253, 547, 581, 8068, 267, 609, 1447, 3002, 29400, 543, 519, 30414, 1951, 7676, 1206, 17515, 563, 763, 1350, 5074, 814, 5280, 1118, 519, 2679, 513, 811, 6899, 2230, 585, 519, 2199, 2146, 547, 6443, 1927, 267, 8661, 543, 10847, 563, 17490, 281, 476, 30203, 2767, 476, 279, 4391, 27244, 454, 293, 1314, 281, 476, 30203, 2767, 476, 279, 4510, 4962, 274, 454, 10403, 325, 27961, 8490, 15733, 723, 9250, 513, 1007, 3381, 267, 1500, 609, 8366, 20421, 32072, 2754, 808, 681, 10162, 1993, 532, 602, 8711, 519, 2640, 540, 17501, 5131, 325, 27961, 8122, 1467, 2472, 7258, 8122, 1949, 269, 16829, 538, 8490, 12752, 5240, 267, 8490, 15733, 1299, 23113, 267, 667, 1778, 720, 267, 717, 32211, 267, 1924, 742, 1080, 1299, 674, 30913, 553, 267, 674, 30913, 553, 267, 24762, 267, 26198, 1299, 4676, 7875, 7321, 267, 4825, 549, 7257, 1299, 11412, 990, 566, 267, 10162, 1993, 338, 267, 11473, 540, 519, 10432, 267, 654, 8712, 454, 763, 3687, 969, 320, 12729, 9142, 538, 30290, 814, 5063, 6192, 606, 3078, 267, 1007, 1079, 3613, 648, 344, 10137, 1788, 267, 10023, 513, 1283, 1362, 681, 8016, 298, 310, 302, 5357, 3070, 269, 16829, 538, 15080, 267, 8490, 12752, 5240, 267, 8490, 15733, 1299, 23113, 267, 8865, 5525, 267, 6184, 1637, 267, 24762, 267, 26198, 1299, 4676, 7875, 7321, 267, 4825, 549, 7257, 1299, 11412, 990, 566, 267, 654, 8712, 454, 763, 19371, 543, 3794, 5074, 18966, 630, 294, 24427, 264, 814, 4607, 1082, 7125, 543, 15737, 689, 14221, 16840, 3823, 519, 6554, 779, 1007, 5682, 23467, 16827, 30868, 269, 16829, 538, 15080, 267, 8490, 4889, 725, 1299, 23941, 267, 8490, 12752, 5240, 267, 8490, 15733, 1299, 23113, 267, 19371, 267, 3794, 5074, 267, 3377, 267, 24762, 267, 20885, 1299, 6052, 21252, 267, 8837, 454, 294, 3757, 3385, 3794, 5074, 568, 5275, 27792, 593, 2436, 6281, 1350, 5074, 568, 3769, 538, 519, 6554, 779, 5063, 9307, 11278, 273, 5479, 5682, 23467, 16827, 30868, 269, 16829, 538, 15080, 267, 8490, 12752, 5240, 267, 8490, 15733, 1299, 23113, 267, 19371, 267, 3794, 5074, 267, 3377, 267, 24762, 267, 20885, 1299, 6052, 21252, 267, 8837 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2627, 610, 538, 536, 7159, 11435, 267, 544, 924, 20637, 543, 6989, 20637, 538, 8900, 8637, 563, 300, 2572, 9742, 6385, 896, 7957, 24461, 2175, 269, 1717, 267, 789, 616, 12155, 547, 1216, 2530, 543, 5884, 693, 1970, 3448, 11195, 630, 9071, 1040, 4107, 2249, 798, 711, 9742, 2630, 476, 4792, 260, 11002, 269, 10606, 693, 519, 2627, 949, 7771, 6923, 267, 952, 519, 2627, 7509, 1543, 8813, 2630, 476, 4792, 260, 11002, 538, 519, 5614, 563, 300, 2572, 666, 2014, 1463, 3441, 547, 519, 10286, 676, 4189, 519, 10351, 610, 17860, 532, 856, 3282, 572, 2644, 543, 949, 849, 2014, 512, 5593, 269, 1358, 849, 2014, 13027, 6547, 267, 4352, 1152, 2356, 2404, 609, 1804, 5095, 540, 21746, 269, 20530, 2218, 21746, 949, 849, 581, 1459, 267, 2523, 1141, 972, 616, 1804, 5095, 540, 4859, 21746, 563, 1692, 547, 2697, 7786, 543, 21746, 454, 5978, 3896, 2882, 2592, 540, 936, 476, 2004, 5521, 543, 544, 924, 2249, 602, 949, 2049, 538, 10286, 8637, 269, 898, 6227, 519, 3119, 5521, 10860, 267, 607, 1134, 607, 6281, 10860, 267, 21746, 267, 29700, 543, 1433, 331, 823, 269, 22043, 8446, 568, 1271, 547, 3313, 519, 3617, 2359, 3210, 269, 0, 289, 23273, 12650, 633, 645, 1042, 12551, 281, 589, 12655, 543, 28202, 1516, 26840, 585, 13985, 10740, 2037, 28387, 328, 6814, 454, 4415, 4145, 827, 519, 1764, 540, 936, 325, 5109, 543, 7226, 9552, 593, 3552, 3165, 5095, 267, 1082, 16983, 12439, 616, 7432, 547, 1979, 7974, 27604, 26870, 3165, 607, 513, 811, 4264, 543, 3743, 3903, 269, 1809, 1018, 4010, 616, 1979, 7974, 27604, 26870, 3165, 543, 1946, 616, 789, 11543, 8560, 538, 519, 15908, 888, 1103, 2241, 2474, 267, 1979, 7974, 27604, 26870, 3165, 616, 3165, 602, 723, 1044, 26870, 538, 24811, 2864, 982, 1373, 3144, 689, 519, 3552, 269, 901, 4264, 543, 6417, 1184, 711, 1152, 2337, 547, 18359, 2067, 5095, 855, 849, 7472, 2635, 543, 2068, 6954, 15013, 585, 16983, 15908, 1235, 563, 1103, 713, 2376, 267, 649, 786, 2263, 519, 1585, 2640, 540, 7446, 1979, 7974, 27604, 26870, 3165, 585, 707, 16983, 267, 4983, 519, 9960, 1184, 267, 543, 2232, 930, 1455, 2055, 543, 20887, 4478, 713, 1888, 563, 763, 11588, 540, 645, 23273, 12650, 633, 645, 1042, 12551, 454, 2691, 621, 2501, 547, 5329, 3165, 538, 24811, 267, 972, 616, 3875, 5383, 547, 7446, 1979, 7974, 27604, 26870, 15013, 936, 3552, 2275, 4381, 3283, 563, 272, 269, 11094, 543, 20885, 454, 3528, 1904, 532, 585, 1979, 7974, 27604, 26870, 3165, 267, 596, 616, 8362, 7700, 547, 519, 5726, 543, 6940, 540, 7286, 543, 15195, 8134, 269, 8187, 3165, 5095, 616, 1419, 16271, 547, 5230, 10068, 2604, 267, 3056, 547, 513, 7771, 538, 741, 2338, 543, 1761, 14486, 269, 25417, 27604, 9960, 3292, 2337, 2569, 519, 16126, 593, 3552, 2275, 4381, 15013, 543, 1447, 839, 519, 8833, 593, 10347, 8134, 563, 273, 269, 2657, 543, 8376, 10644, 454, 290, 28922, 9960, 3292, 4225, 519, 1072, 540, 3165, 543, 11441, 547, 3132, 2068, 6954, 15013, 269, 1879, 3165, 616, 9575, 538, 519, 3552, 267, 789, 949, 4163, 15495, 610, 13596, 602, 666, 3468, 824, 16983, 11317, 269, 12650, 633, 26870, 3165, 267, 593, 519, 824, 1688, 267, 616, 6659, 538, 6417, 5054, 543, 10929, 11826, 1072, 32182, 547, 2327, 789, 616, 1863, 689, 1022, 3676, 610, 15495, 269, 901, 2306, 873, 513, 10930, 3903, 585, 707, 16983, 563, 274, 269, 2997, 22355, 543, 7352, 1214, 454, 3080, 540, 519, 7687, 540, 13461, 9003, 593, 3552, 2275, 4381, 3165, 568, 519, 17674, 1464, 540, 8244, 269, 2060, 27604, 26870, 3165, 267, 593, 519, 824, 1688, 267, 596, 723, 1569, 547, 513, 9962, 5542, 540, 2249, 543, 8677, 2429, 519, 1032, 269, 901, 2636, 596, 547, 1711, 513, 3309, 543, 7524, 16983, 602, 17015, 707, 2123, 7375, 563, 275, 269, 11154, 1464, 543, 3281, 520, 2225, 454, 290, 28922, 26870, 3165, 616, 3622, 811, 22537, 547, 27604, 5054, 982, 741, 3552, 13413, 269, 1358, 616, 26224, 547, 2175, 1336, 538, 6864, 926, 4548, 543, 4043, 547, 723, 606, 4443, 5912, 689, 519, 9742, 518, 779, 13688, 547, 707, 1378, 14764, 269, 901, 13916, 1419, 18922, 883, 2362, 6668, 3928, 543, 1732, 2949, 1072, 585, 519, 3165, 563, 763, 645, 23273, 12650, 633, 6601, 5338, 6713, 454, 3086, 602, 649, 1174, 519, 2640, 540, 7446, 1979, 7974, 27604, 26870, 3165, 267, 1577, 779, 5490, 883, 519, 9960, 1184, 3294, 543, 2744, 4030, 883, 519, 3460, 689, 3355, 12093, 547, 2635, 5104, 32596, 4712, 585, 9042, 563, 272, 269, 19139, 540, 6601, 5338, 15443, 573, 919, 454, 17954, 5338, 3292, 5402, 2824, 5078, 2385, 3165, 1759, 593, 2188, 971, 607, 1072, 267, 4719, 4763, 267, 543, 5551, 7592, 269, 901, 5849, 602, 519, 15556, 4159, 14909, 4162, 543, 616, 2178, 543, 2635, 563, 273, 269, 16448, 532, 543, 29918, 6819, 3115, 3174, 454, 2414, 5000, 838, 27681, 267, 9742, 619, 1683, 519, 3165, 609, 6099, 2175, 543, 21613, 2067, 838, 27681, 12153, 971, 607, 2837, 2242, 267, 8654, 9979, 267, 610, 20533, 11811, 269, 1452, 15128, 948, 547, 16578, 519, 9960, 2623, 2556, 585, 3811, 12093, 563, 274, 269, 1975, 27681, 543, 17378, 14635, 454, 5629, 519, 3165, 723, 838, 1177, 2740, 267, 9742, 619, 2445, 519, 5798, 543, 4483, 873, 547, 5094, 13688, 610, 911, 903, 585, 29164, 269, 4438, 713, 3942, 267, 7453, 1216, 2298, 1852, 543, 5464, 616, 2629, 547, 2327, 1697, 1646, 563, 275, 269, 30038, 1998, 681, 8960, 454, 305, 8960, 519, 16793, 568, 1419, 835, 540, 519, 1034, 4101, 5933, 538, 519, 9960, 1184, 269, 570, 4176, 267, 10347, 3165, 26650, 28173, 1808, 2825, 6724, 971, 607, 1216, 2095, 267, 1426, 8244, 267, 543, 8654, 269, 6601, 539, 619, 5702, 6895, 519, 1646, 540, 519, 26650, 543, 1683, 873, 609, 14013, 21092, 2661, 610, 19775, 3536, 563, 276, 269, 12618, 543, 19565, 8609, 454, 4415, 1697, 1416, 543, 6484, 267, 519, 16793, 7930, 1332, 543, 3914, 519, 11174, 3942, 269, 2311, 713, 1448, 267, 789, 616, 7347, 543, 1582, 1606, 11211, 2614, 547, 581, 11843, 547, 3677, 1332, 13050, 1949, 610, 4421, 547, 15908, 1235, 563, 21761, 18542, 5999, 454, 3086, 602, 649, 723, 4988, 519, 9238, 540, 1979, 7974, 27604, 26870, 3165, 267, 621, 779, 942, 547, 2232, 930, 1455, 2055, 543, 4145, 16983, 12439, 949, 723, 563, 9223, 476, 272, 281, 3657, 1979, 7974, 27604, 26870, 3165, 607, 2635, 607, 3552, 2275, 4381, 3165, 888, 27028, 5193, 569, 256, 645, 23273, 27604, 26870, 3165, 10929, 22608, 1072, 32182, 543, 616, 6659, 538, 6417, 5054, 267, 4611, 538, 8902, 15013, 269, 4256, 6417, 909, 32523, 849, 2337, 2569, 519, 1981, 540, 10962, 3676, 610, 15495, 883, 707, 16983, 563, 9223, 476, 273, 281, 3657, 1979, 7974, 27604, 26870, 3165, 811, 7199, 982, 3552, 2275, 4381, 3165, 888, 4407, 519, 1942, 540, 1979, 7974, 27604, 26870, 3165, 949, 4268, 4470, 593, 519, 2249, 543, 8244, 267, 789, 616, 3622, 13380, 538, 3902, 547, 741, 3552, 2275, 4381, 13413, 269, 3958, 267, 519, 1279, 3856, 2640, 540, 5885, 27604, 9960, 3292, 2484, 29387, 1022, 3355, 3902, 3604, 563, 9223, 476, 274, 281, 2052, 594, 3575, 1979, 7974, 27604, 26870, 3165, 609, 3552, 2275, 4381, 3165, 538, 1250, 16983, 888, 1103, 1034, 2665, 267, 1979, 7974, 27604, 26870, 3165, 666, 581, 6707, 5189, 547, 6864, 926, 4548, 609, 3552, 2275, 4381, 3165, 269, 1717, 267, 621, 779, 1898, 547, 2015, 1142, 2249, 685, 1367, 17356, 543, 2327, 602, 789, 723, 2147, 2825, 543, 8192, 4170, 563, 24400, 1979, 7974, 27604, 26870, 3165, 585, 707, 16983, 568, 711, 1152, 513, 3743, 3903, 855, 849, 513, 1259, 547, 3565, 547, 519, 5726, 543, 6940, 540, 3165, 5095, 269, 1635, 5885, 519, 3646, 540, 27604, 9960, 3292, 267, 596, 666, 1711, 513, 14762, 543, 11617, 10875, 16983, 1247, 10893, 519, 1764, 593, 3552, 5095, 269, 1924, 1946, 711, 6443, 519, 3350, 543, 1118, 513, 2318, 3017, 538, 519, 1158, 540, 16983, 5329, 286, 0, 763, 11957, 540, 7982, 17569, 19554, 454, 2026, 649, 1847, 883, 519, 1032, 476, 1708, 274, 267, 519, 2956, 540, 30618, 4859, 538, 519, 4928, 814, 1831, 811, 2565, 982, 2479, 269, 2060, 1053, 8876, 811, 5907, 3457, 543, 9499, 982, 2479, 1354, 267, 1697, 30618, 4859, 666, 948, 7413, 19240, 543, 11694, 1565, 269, 1879, 1394, 335, 2931, 616, 6896, 543, 856, 540, 519, 1259, 267, 1053, 666, 1445, 1732, 593, 741, 2090, 267, 4227, 2566, 2157, 543, 2810, 7607, 563, 16391, 1944, 7982, 17569, 19554, 454, 3080, 540, 519, 1655, 2081, 547, 10891, 30618, 4859, 538, 519, 4928, 568, 547, 3651, 1142, 2875, 513, 11280, 4859, 2230, 269, 901, 666, 581, 513, 7750, 2421, 267, 513, 15808, 267, 610, 513, 9376, 518, 602, 568, 5693, 13042, 609, 519, 2875, 779, 2012, 269, 1635, 2348, 513, 11280, 5544, 267, 1053, 666, 3533, 543, 3362, 4558, 543, 23074, 741, 1394, 335, 2931, 1510, 14443, 532, 519, 2095, 540, 519, 4928, 563, 24400, 519, 9406, 19554, 8827, 454, 2691, 7446, 513, 4859, 3070, 267, 621, 779, 1271, 547, 2015, 519, 2450, 543, 2597, 540, 519, 1394, 335, 2931, 269, 2368, 4859, 3681, 267, 899, 7750, 9812, 267, 949, 711, 581, 5078, 585, 3677, 1394, 335, 2931, 269, 3958, 267, 621, 779, 1271, 547, 3442, 513, 4859, 3070, 602, 568, 14463, 543, 666, 16641, 519, 5957, 543, 15237, 540, 3232, 946, 563, 5194, 1271, 2460, 540, 30618, 4859, 538, 519, 4928, 568, 3450, 5539, 547, 1053, 269, 1635, 8066, 1053, 18177, 585, 5329, 741, 4859, 2230, 6896, 543, 22619, 344, 267, 789, 1451, 3407, 1272, 1983, 602, 786, 4196, 873, 1134, 3564, 519, 4928, 563, 763, 11588, 540, 7743, 7982, 17569, 19554, 454, 19187, 30618, 4859, 666, 723, 513, 1713, 1764, 593, 2875, 2773, 269, 1635, 5329, 1394, 335, 2931, 6896, 543, 856, 540, 519, 1259, 267, 1053, 616, 1447, 2693, 547, 581, 26531, 676, 804, 13616, 543, 811, 2693, 547, 1445, 593, 741, 2090, 269, 3958, 267, 609, 2653, 1569, 547, 741, 2326, 267, 1053, 666, 3533, 543, 7561, 23074, 1018, 789, 991, 267, 9494, 942, 543, 4227, 2566, 2157, 563, 19522, 585, 24367, 7982, 17569, 19554, 454, 2414, 2226, 513, 1134, 268, 23457, 30618, 4859, 1062, 267, 621, 779, 1271, 547, 3715, 2312, 4808, 585, 1053, 269, 901, 666, 1331, 3652, 827, 1018, 666, 543, 3112, 581, 6740, 538, 519, 11280, 2230, 267, 607, 1134, 607, 6788, 585, 5329, 519, 1858, 2973, 543, 22619, 344, 269, 3958, 267, 621, 779, 1271, 547, 21237, 2638, 519, 4859, 5624, 547, 2327, 602, 789, 616, 1373, 1031, 5265, 543, 547, 2232, 1022, 2152, 602, 949, 8451, 563, 1103, 3932, 267, 1697, 30618, 4859, 538, 519, 4928, 568, 1898, 585, 2870, 513, 11327, 543, 6896, 1565, 1604, 269, 1635, 7446, 519, 1318, 4859, 3070, 267, 3450, 5539, 547, 1053, 267, 543, 4509, 2312, 4808, 267, 1053, 666, 1445, 593, 741, 2090, 543, 3035, 4081, 1967, 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 ]
[ 1383, 267, 6028, 835, 781, 10160, 538, 513, 4928, 267, 538, 606, 5604, 610, 824, 1747, 540, 960, 267, 610, 538, 824, 3871, 1141, 835, 568, 4397, 547, 581, 27206, 563, 27269, 14543, 547, 2628, 1813, 3007, 547, 3877, 610, 2306, 1416, 1652, 9073, 538, 1153, 1740, 267, 960, 267, 543, 824, 2238, 563, 2690, 1383, 267, 1281, 711, 5469, 610, 1236, 2354, 3877, 267, 519, 960, 568, 711, 2944, 8308, 563, 27269, 7340, 995, 538, 3232, 2238, 563, 2690, 1383, 267, 7340, 6888, 538, 2777, 1740, 267, 1247, 3257, 2144, 571, 2738, 282, 585, 4587, 14038, 543, 4079, 910, 789, 7340, 547, 2132, 7125, 267, 2628, 12014, 267, 2097, 547, 513, 5870, 610, 13393, 630, 1729, 513, 4387, 267, 585, 1383, 1916, 27269, 3362, 26531, 676, 970, 8735, 748, 15128, 269, 1280, 4587, 14038, 543, 4079, 267, 713, 2882, 4555, 602, 616, 20025, 585, 519, 942, 1315, 1747, 563, 27269, 19380, 1919, 2877, 585, 4245, 610, 5049, 563, 2690, 1383, 267, 31940, 267, 9499, 267, 22796, 267, 2835, 267, 2645, 267, 10569, 267, 1957, 3029, 267, 14296, 267, 5985, 11436, 563, 27269, 30417, 267, 20247, 10105, 267, 610, 19385, 14688, 3217, 593, 1919, 602, 2154, 13455, 2790, 4674, 563, 2690, 1383, 267, 1153, 1740, 610, 1153, 6780, 267, 585, 4587, 12322, 543, 4079, 910, 8600, 5359, 267, 11423, 856, 3029, 267, 4974, 1279, 5931, 563, 27269, 814, 7411, 12180, 4245, 543, 5049, 563, 2690, 1383, 267, 8373, 3001, 689, 835, 4305, 538, 513, 5832, 547, 1776, 267, 7411, 5329, 2326, 543, 2123, 28378, 538, 1931, 267, 1793, 641, 6853, 267, 796, 23457, 960, 267, 4057, 942, 2359, 267, 17528, 547, 2347, 960, 593, 942, 563, 27269, 1281, 711, 1246, 5528, 547, 519, 1439, 543, 1281, 711, 2347, 1362, 960, 267, 26050, 267, 610, 11645, 538, 519, 9036, 563, 2690, 1383, 267, 6238, 960, 267, 855, 3533, 19380, 1445, 543, 3362, 18389, 619, 1055, 1888, 563, 27269, 621, 4667, 602, 646, 1281, 711, 6432, 547, 519, 4633, 9619, 547, 1864, 563, 2690, 1383, 267, 1010, 2247, 18389, 619, 12341, 3116, 267, 1256, 952, 972, 568, 1100, 6654, 30411, 563, 27269, 814, 7411, 4509, 3007, 950, 7900, 4247, 610, 1282, 3756, 269, 0, 19102, 848, 1569, 547, 17537, 595, 6604, 2645, 543, 4485, 1851, 5095, 1034, 4299, 454, 8601, 1373, 524, 9092, 267, 17537, 595, 568, 513, 2518, 1857, 1072, 3463, 281, 5001, 267, 606, 6059, 476, 6812, 2929, 1004, 2661, 609, 5312, 17537, 595, 267, 543, 1970, 7146, 2173, 1497, 13867, 2477, 630, 299, 300, 2975, 338, 264, 616, 1753, 547, 476, 3199, 260, 540, 873, 269, 1715, 11955, 616, 3810, 2500, 267, 855, 1034, 1004, 798, 711, 723, 1569, 1107, 1175, 936, 476, 736, 260, 1205, 513, 5868, 543, 1152, 476, 1724, 260, 1569, 2126, 269, 772, 660, 8972, 267, 17537, 595, 666, 1291, 547, 3978, 6797, 2068, 543, 2860, 269, 12540, 1400, 1242, 2516, 1519, 1004, 945, 7630, 5061, 543, 1004, 538, 30813, 616, 25409, 4299, 563, 23382, 1588, 6604, 2994, 585, 17537, 595, 1331, 13549, 543, 861, 16206, 3292, 267, 23776, 30748, 626, 3797, 267, 543, 1732, 1569, 547, 4152, 543, 2126, 269, 623, 26059, 786, 6218, 519, 1761, 540, 1079, 9621, 2645, 585, 7303, 17537, 595, 1851, 1004, 945, 7630, 5061, 1247, 2324, 538, 6252, 547, 2333, 1569, 547, 2533, 676, 32750, 873, 1369, 2800, 5786, 3292, 269, 18748, 539, 2950, 786, 3391, 1788, 1374, 543, 581, 2565, 538, 4180, 519, 2645, 543, 4485, 4196, 519, 2115, 540, 1346, 693, 6574, 1981, 540, 17537, 595, 563, 303, 26059, 786, 849, 1291, 2344, 5935, 3646, 547, 2232, 26622, 540, 519, 1883, 2645, 538, 946, 563, 2108, 2026, 649, 960, 2509, 8236, 8471, 1072, 3795, 267, 621, 568, 1898, 602, 649, 4225, 12581, 1569, 547, 11807, 543, 10097, 3782, 267, 3226, 585, 1346, 538, 12790, 2950, 269, 1284, 616, 18507, 547, 5149, 4660, 585, 741, 5718, 543, 585, 519, 4316, 547, 12840, 593, 713, 1271, 1788, 267, 16107, 938, 2344, 6879, 12686, 267, 2963, 5108, 267, 1072, 1062, 14304, 543, 2146, 6278, 7207, 3034, 301, 1731, 565, 1690, 31408, 267, 5518, 1299, 16628, 267, 623, 26059, 454, 763, 1764, 649, 616, 5275, 454, 8624, 937, 1947, 609, 519, 824, 7341, 538, 5149, 4660, 779, 17537, 595, 14769, 267, 713, 1788, 786, 4196, 547, 2569, 17537, 595, 11841, 543, 9860, 538, 1004, 945, 7630, 5061, 543, 1004, 538, 7890, 267, 543, 1020, 27249, 3631, 585, 6604, 543, 2126, 602, 666, 581, 4294, 547, 1970, 268, 543, 1647, 13867, 5468, 5001, 269, 0, 310, 2314, 593, 513, 2871, 10560, 21642, 595, 4381, 593, 31396, 454, 7197, 2487, 2626, 281, 476, 5400, 270, 2764, 270, 1001, 277, 454, 268, 6424, 5576, 28704, 630, 720, 476, 6795, 994, 13828, 256, 634, 18980, 18042, 21513, 616, 1483, 267, 543, 606, 21903, 2813, 676, 519, 8254, 2636, 596, 547, 1294, 873, 563, 763, 12673, 593, 513, 13176, 1711, 3280, 676, 31954, 267, 543, 1142, 5569, 5854, 919, 693, 1114, 12451, 547, 3132, 513, 1114, 12334, 269, 630, 763, 12673, 849, 4483, 741, 19089, 547, 519, 1560, 540, 519, 13176, 543, 519, 2011, 3330, 519, 13176, 267, 799, 568, 1271, 585, 1818, 606, 2912, 1043, 3280, 4700, 1703, 616, 1614, 2188, 799, 1852, 519, 12334, 540, 513, 5569, 912, 272, 269, 634, 3259, 540, 519, 5569, 269, 7043, 518, 12673, 666, 5854, 622, 693, 2539, 12451, 982, 10156, 12673, 563, 273, 269, 634, 2597, 540, 519, 5569, 630, 704, 1770, 3259, 1040, 1261, 32667, 12673, 5854, 622, 693, 2539, 12451, 982, 14402, 12673, 563, 274, 269, 634, 8082, 593, 519, 5569, 269, 901, 568, 1946, 596, 666, 19820, 519, 13176, 676, 7432, 513, 5679, 984, 547, 9395, 523, 519, 5569, 1765, 339, 7660, 12673, 3132, 2362, 12451, 982, 3138, 29141, 12673, 563, 763, 9803, 4908, 513, 5569, 666, 5854, 622, 693, 568, 1572, 519, 4909, 4908, 269, 901, 568, 519, 1292, 12334, 602, 596, 5873, 269, 1879, 513, 5569, 568, 31954, 693, 519, 4909, 4908, 267, 519, 2898, 5569, 7575, 1394, 543, 8521, 267, 899, 513, 7914, 18052, 3001, 2786, 909, 543, 1524, 269, 2871, 10560, 12673, 666, 849, 5854, 622, 693, 2362, 12451, 982, 519, 4909, 4908, 267, 543, 891, 616, 1572, 2362, 2800, 9582, 610, 936, 2023, 525, 269, 2311, 2362, 2800, 9582, 519, 5569, 568, 834, 23143, 326, 1782, 257, 538, 513, 20534, 5951, 3337, 269, 1703, 616, 930, 8799, 5961, 593, 713, 3135, 281, 5291, 2517, 4178, 269, 2125, 9618, 335, 3820, 270, 874, 12695, 17320, 3726, 541, 454, 2691, 513, 13176, 568, 5129, 267, 1082, 540, 891, 12331, 540, 19089, 616, 8345, 782, 693, 2899, 267, 799, 5932, 519, 3638, 3280, 540, 519, 13176, 269, 634, 1114, 2800, 9582, 9192, 547, 3313, 519, 3169, 3337, 540, 519, 2698, 19089, 540, 519, 5569, 267, 543, 1223, 1711, 1945, 899, 513, 4718, 1729, 1054, 5951, 269, 634, 3337, 540, 519, 19089, 849, 5673, 593, 875, 543, 1141, 519, 5569, 568, 726, 26786, 563, 763, 2601, 891, 21513, 5749, 1405, 6654, 547, 519, 21736, 3750, 568, 1317, 789, 4755, 1932, 3728, 547, 1294, 269, 1280, 1383, 267, 519, 4909, 4908, 540, 519, 589, 5569, 568, 693, 476, 8099, 21636, 267, 865, 519, 5569, 568, 31954, 1394, 543, 8521, 811, 982, 835, 4627, 2053, 513, 2034, 269, 634, 2362, 2800, 9582, 5854, 622, 1256, 5488, 563, 288, 1591, 6049, 8254, 630, 528, 1022, 3381, 8254, 264, 666, 1118, 891, 4028, 14251, 725, 7298, 1317, 621, 5638, 2592, 693, 513, 1978, 7406, 2557, 269, 476, 1789, 14604, 829, 2034, 568, 513, 6093, 7406, 2557, 585, 513, 6049, 8254, 20196, 1797, 519, 8254, 568, 2921, 513, 4605, 476, 1789, 2053, 829, 2034, 269, 1403, 596, 2811, 10916, 519, 5163, 540, 513, 13176, 5569, 267, 519, 8254, 4991, 513, 25135, 14653, 540, 519, 5569, 781, 2990, 476, 1789, 2053, 513, 2034, 269, 1403, 519, 5569, 568, 31954, 693, 513, 4908, 799, 568, 513, 2789, 540, 476, 1789, 21636, 267, 621, 786, 2141, 2097, 1394, 547, 519, 1482, 2990, 693, 519, 4090, 519, 8254, 19306, 513, 7406, 267, 865, 538, 519, 3381, 10916, 621, 5654, 13792, 538, 1747, 269, 1403, 519, 4908, 568, 2673, 547, 513, 2789, 540, 476, 1789, 21636, 855, 711, 3833, 267, 519, 5569, 786, 2408, 547, 14251, 622, 7444, 607, 621, 4991, 9575, 538, 513, 5594, 1114, 2990, 538, 1142, 7406, 269, 1411, 666, 849, 1294, 713, 1198, 609, 707, 4064, 952, 596, 946, 513, 588, 549, 2041, 1769, 547, 22113, 519, 12673, 269, 634, 1166, 4770, 1769, 3947, 596, 513, 25135, 14653, 540, 519, 5569, 2990, 693, 2834, 11996, 267, 2147, 547, 519, 8254, 781, 7406, 2557, 563, 9638, 21242, 593, 476, 5400, 270, 2764, 270, 1001, 277, 264, 0, 2764, 594, 623, 1910, 291, 9906, 594, 3220, 1508, 9697, 16474, 454, 10817, 728, 1280, 13229, 4804, 454, 1692, 547, 5530, 543, 4208, 4825, 4471, 1998, 6657, 4825, 4471, 1998, 2259, 568, 519, 1184, 540, 11291, 532, 2035, 267, 5013, 267, 610, 2621, 689, 3965, 269, 15350, 23023, 18791, 519, 3965, 543, 11081, 7340, 6888, 269, 634, 8849, 11444, 538, 519, 2634, 602, 1118, 909, 513, 1560, 540, 1565, 1205, 2178, 1169, 942, 519, 3965, 568, 6707, 27366, 543, 13736, 269, 18044, 6486, 543, 513, 2241, 7688, 1310, 2542, 610, 6217, 513, 11000, 616, 6305, 1806, 540, 23023, 2259, 269, 4825, 4471, 1998, 2259, 1568, 1317, 1169, 942, 596, 6707, 11291, 1344, 267, 596, 616, 14304, 1346, 23023, 11507, 269, 13658, 4506, 3054, 2488, 596, 519, 2702, 547, 2708, 1018, 596, 4121, 267, 543, 2127, 602, 596, 616, 1869, 4617, 538, 269, 901, 30417, 16995, 2192, 16272, 540, 13215, 519, 1570, 676, 4466, 6959, 543, 31925, 873, 269, 10163, 644, 3539, 1945, 952, 596, 3111, 547, 23074, 621, 689, 3965, 2337, 596, 1451, 621, 1732, 607, 10353, 547, 711, 3843, 547, 11291, 621, 538, 519, 1101, 1747, 563, 763, 3163, 540, 1284, 539, 593, 519, 11020, 454, 26239, 25443, 6771, 568, 519, 1184, 538, 799, 15202, 6464, 610, 6675, 1634, 607, 30088, 616, 5293, 2059, 689, 22813, 547, 22813, 630, 1676, 557, 2281, 264, 538, 938, 2634, 269, 769, 519, 22813, 267, 519, 30088, 616, 6740, 538, 519, 5348, 25443, 5738, 2873, 543, 519, 851, 540, 519, 22813, 602, 6585, 891, 5738, 2873, 568, 519, 4949, 517, 12363, 269, 11671, 19517, 1562, 2097, 609, 741, 1378, 1808, 13364, 602, 519, 30088, 12622, 547, 543, 1831, 15181, 676, 630, 296, 951, 517, 267, 476, 1220, 271, 267, 533, 269, 476, 7367, 1040, 0, 22129, 568, 3478, 5051, 22125, 563, 2108, 9617, 513, 1906, 1296, 3516, 267, 972, 941, 7366, 540, 15408, 538, 2230, 2223, 1767, 3627, 631, 3426, 569, 269, 968, 3086, 267, 649, 2461, 693, 2582, 18251, 5215, 540, 15408, 267, 543, 27121, 941, 5063, 9516, 585, 803, 8615, 268, 6247, 749, 725, 540, 476, 4343, 267, 1822, 811, 269, 2334, 779, 711, 547, 2446, 782, 519, 4914, 3283, 3034, 4467, 14293, 9682, 12427, 267, 543, 519, 8878, 543, 4987, 2950, 267, 782, 2671, 513, 642, 6479, 1719, 538, 1818, 2386, 1346, 28835, 3615, 1810, 1406, 2458, 728, 267, 610, 16154, 883, 519, 3395, 2527, 540, 11935, 602, 1396, 1562, 1970, 7232, 14390, 10739, 267, 610, 19845, 302, 563, 2026, 7022, 540, 24955, 299, 11274, 8549, 267, 631, 3426, 569, 568, 851, 540, 513, 2319, 5356, 513, 3070, 563, 2108, 306, 15471, 538, 519, 29653, 543, 7249, 6479, 2230, 1604, 6238, 609, 6616, 1141, 3388, 568, 2223, 646, 1767, 269, 968, 2171, 616, 2679, 513, 6422, 4786, 540, 3388, 602, 568, 3001, 538, 519, 19845, 302, 1604, 267, 543, 649, 666, 2285, 16580, 268, 28300, 766, 6835, 547, 938, 5561, 865, 602, 789, 666, 2057, 1346, 824, 15408, 267, 607, 1134, 607, 782, 602, 11935, 602, 779, 909, 972, 3034, 4002, 519, 5010, 2427, 267, 24955, 299, 11274, 19646, 6611, 311, 543, 824, 5010, 12427, 1851, 922, 7817, 25279, 269, 634, 2754, 849, 7028, 519, 8878, 543, 4987, 2950, 267, 1519, 772, 2529, 269, 6611, 16710, 543, 8331, 267, 609, 2230, 6389, 4656, 563, 2467, 779, 7347, 2029, 693, 519, 2295, 540, 713, 5356, 563, 14071, 616, 2679, 513, 2518, 3060, 540, 2234, 1513, 602, 666, 3713, 1507, 3615, 538, 2230, 2223, 631, 3426, 569, 1767, 269, 968, 2171, 3580, 581, 2111, 547, 4585, 3388, 267, 689, 1585, 2694, 540, 519, 3047, 269, 3973, 649, 4019, 938, 1239, 12642, 543, 1239, 2257, 547, 3313, 952, 621, 779, 2469, 547, 581, 3463, 547, 1776, 1062, 267, 610, 952, 972, 616, 22114, 2443 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 610, 546, 1341, 476, 273, 267, 519, 14230, 649, 3489, 568, 678, 269, 6496, 713, 1611, 602, 952, 649, 10208, 678, 689, 1775, 267, 8726, 568, 31629, 786, 581, 16883, 676, 546, 607, 1134, 607, 630, 323, 266, 273, 21663, 1924, 14322, 602, 546, 543, 546, 266, 273, 798, 711, 723, 1022, 1455, 2188, 630, 16838, 952, 789, 798, 723, 1455, 2188, 824, 982, 476, 272, 267, 789, 666, 1152, 723, 476, 273, 607, 513, 1455, 3815, 1070, 649, 666, 2322, 621, 1524, 607, 692, 328, 910, 678, 815, 546, 5560, 1341, 476, 273, 264, 330, 454, 328, 815, 546, 5560, 1341, 476, 273, 264, 330, 1341, 678, 454, 3086, 585, 1114, 2418, 540, 546, 267, 737, 543, 678, 267, 2418, 540, 1775, 786, 581, 1114, 780, 1805, 332, 660, 476, 273, 281, 634, 23479, 950, 1775, 568, 5258, 676, 630, 323, 266, 273, 264, 568, 546, 454, 1607, 6645, 721, 602, 454, 328, 815, 546, 5560, 1341, 273, 264, 1341, 678, 454, 3086, 585, 1114, 2418, 540, 546, 543, 678, 267, 2418, 540, 1775, 786, 581, 1114, 780, 8794, 1312, 267, 649, 917, 602, 737, 568, 476, 272, 269, 1809, 585, 1114, 2418, 540, 546, 543, 678, 267, 649, 666, 1869, 723, 1114, 2418, 540, 1775, 269, 3502, 6190, 780, 6303, 318, 692, 298, 541, 880, 2742, 454, 19723, 26320, 16721, 1923, 17918, 26189, 528, 454, 7069, 18248, 692, 7476, 3323, 609, 7638, 26320, 16721, 17918, 2201, 24637, 585, 8096, 1960, 692, 19723, 26320, 16721, 17352, 692, 29479, 11833, 26499, 454, 16274, 281, 476, 6021, 9484, 476, 1001, 274, 454, 15803, 281, 476, 13670, 2918, 454, 27063, 281, 476, 276, 6507, 692, 20132, 19560, 476, 14321, 1496, 271, 3910, 2016, 281, 476, 271, 692, 3725, 281, 1403, 1775, 543, 546, 616, 9981, 267, 1018, 568, 519, 1871, 540, 1775, 286, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 4905, 7325, 476, 1001, 276, 267, 476, 4962, 281, 4391, 454, 15916, 689, 519, 17918, 11833, 645, 2794, 289, 582, 2439, 12552, 547, 1776, 17918, 11833, 4759, 267, 594, 723, 1175, 4362, 713, 3407, 1888, 267, 2943, 621, 1185, 1100, 4901, 585, 936, 513, 1032, 269, 594, 993, 1631, 536, 18804, 621, 909, 910, 3257, 1250, 2816, 269, 594, 1589, 596, 949, 1265, 621, 3407, 630, 525, 335, 1346, 30491, 609, 918, 16997, 6393, 23763, 547, 1294, 782, 824, 3584, 594, 2007, 856, 286, 7427, 803, 630, 28781, 1246, 7735, 593, 9043, 1040, 1411, 786, 4309, 513, 5758, 540, 782, 3584, 594, 29424, 538, 707, 9043, 1858, 607, 1134, 607, 3842, 4757, 563, 6303, 29390, 29479, 11833, 26499, 454, 16274, 281, 476, 6021, 9484, 476, 1001, 274, 454, 15803, 281, 476, 13670, 2918, 454, 27063, 281, 476, 276, 6507, 692, 20132, 19560, 476, 14321, 1496, 271, 3910, 2016, 281, 476, 271, 692, 3725, 281, 1403, 1775, 543, 546, 616, 9981, 267, 1018, 568, 519, 1871, 540, 1775, 286, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 2764, 9484, 476, 1001, 277, 267, 476, 2537, 281, 3953, 454, 15916, 689, 519, 17918, 11833, 645, 2794, 289, 582, 2439, 12552, 547, 1776, 17918, 11833, 4759, 267, 594, 723, 1175, 4362, 713, 3407, 1888, 267, 2943, 621, 1185, 1100, 4901, 585, 936, 513, 1032, 269, 594, 993, 1631, 536, 18804, 621, 909, 910, 3257, 1250, 2816, 269, 594, 1589, 596, 949, 1265, 621, 3407, 630, 525, 335, 1346, 30491, 609, 918, 16997, 6393, 23763, 547, 1294, 782, 824, 3584, 594, 2007, 856, 286, 7427, 803, 630, 28781, 1246, 7735, 593, 9043, 1040, 1411, 786, 4309, 513, 5758, 540, 782, 3584, 594, 29424, 538, 707, 9043, 1858, 607, 1134, 607, 3842, 4757, 563, 6303, 29390, 10048, 4526, 454, 16274, 281, 476, 2767, 4924, 476, 1001, 276, 454, 15803, 281, 476, 6812, 454, 3519, 1417, 1674, 281, 4937, 5004, 267, 13188, 454, 29479, 476, 272, 281, 476, 30697, 1627, 5655, 966, 4097, 454, 25446, 281, 7177, 630, 9558, 1636, 566, 994, 27063, 281, 476, 271, 692, 20132, 19560, 476, 279, 1496, 271, 3910, 2016, 281, 476, 6321, 692, 3725, 281, 1403, 1775, 543, 546, 616, 9981, 267, 1018, 568, 519, 1871, 540, 1775, 286, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 3066, 9484, 476, 1001, 277, 267, 476, 4905, 281, 2004, 454, 272, 269, 546, 266, 273, 284, 28999, 266, 337, 1299, 546, 284, 28999, 262, 266, 337, 630, 7117, 2433, 23479, 543, 678, 2433, 14230, 12467, 11357, 339, 847, 476, 273, 4834, 454, 2171, 1205, 267, 476, 273, 284, 328, 32429, 268, 336, 5073, 933, 21645, 917, 7117, 543, 7117, 262, 910, 5442, 24746, 13697, 2975, 7728, 692, 273, 269, 7117, 262, 284, 323, 454, 2193, 8765, 5442, 24746, 13697, 2975, 296, 7728, 692, 18485, 1927, 2676, 11357, 560, 3482, 1871, 540, 7117, 262, 538, 476, 272, 563, 933, 1205, 267, 476, 273, 284, 328, 32429, 1673, 994, 2171, 1810, 1405, 723, 2418, 540, 7117, 543, 546, 910, 2562, 24746, 13697, 2975, 296, 7728, 692, 753, 661, 454, 3725, 281, 1403, 1775, 543, 546, 616, 9981, 267, 1018, 568, 519, 1871, 540, 1775, 286, 5231, 1496, 258, 21529, 316, 476, 3066, 9484, 476, 1001, 277, 267, 476, 4905, 281, 2004, 454, 13436, 3584, 1234, 18680, 7831, 2022, 454, 13436, 454, 12749, 923, 912, 277, 634, 1587, 540, 9981, 513, 267, 536, 267, 524, 267, 543, 546, 568, 476, 6344, 269, 1548, 568, 519, 1871, 540, 538, 476, 1015, 476, 1704, 9484, 476, 1001, 276, 267, 476, 876, 281, 1626, 454, 277, 1548, 568, 519, 1871, 540, 513, 1079, 18251, 2318, 8870, 562, 267, 1141, 1775, 476, 277, 476, 1704, 9947, 476, 1001, 274, 267, 476, 876, 281, 4343, 454, 1556, 1403, 513, 267, 536, 267, 524, 267, 543, 546, 616, 2318, 9981, 267, 1018, 568, 519, 1871, 907, 476, 1556, 476, 2420, 5463, 476, 1001, 273, 267, 476, 6187, 281, 5379, 454, 272, 1548, 568, 519, 1871, 540, 1535, 286, 630, 328, 264, 20028, 540, 1535, 689, 586, 568, 519, 1482, 476, 1724, 476, 2420, 3967, 476, 1001, 272, 267, 476, 4962, 281, 1691, 454, 1321, 1548, 568, 519, 1871, 540, 519, 8870, 737, 286, 476, 1321, 476, 2767, 5463, 476, 1220, 280, 267, 476, 1691, 281, 6349, 454, 11514, 2452, 9708, 689, 3105, 281, 23037, 676, 0, 258, 1548, 568, 519, 13429, 3297, 519, 946, 540, 606, 13181, 1991, 2496, 2691, 649, 723, 23661, 1239, 543, 991, 547, 2834, 1125, 519, 17911, 267, 649, 1223, 946, 13181, 17028, 832, 3079, 540, 22394, 3283, 780, 4913, 267, 519, 1344, 602, 649, 3442, 547, 4020, 1346, 13181, 17028, 832, 568, 3006, 711, 2047, 1644, 630, 328, 4318, 269, 621, 1522, 829, 1555, 547, 513, 9936, 602, 649, 917, 568, 1152, 2147, 855, 711, 519, 1482, 609, 2203, 9936, 6393, 7069, 2243, 568, 834, 6343, 568, 4010, 519, 13429, 602, 649, 616, 1818, 950, 649, 946, 930, 1344, 538, 1931, 547, 4020, 606, 13181, 1991, 602, 786, 2834, 1125, 519, 16759, 540, 938, 23661, 1239, 12482, 263, 19013, 1775, 3112, 1683, 513, 1880, 1383, 2094, 594, 993, 1152, 27985, 3843, 547, 1174, 519, 6286, 2020, 1892, 4595, 1169, 1991, 568, 13181, 267, 1018, 4010, 568, 707, 2243, 286, 634, 1991, 3294, 568, 519, 13429, 827, 519, 9936, 563, 1700, 1109, 20755, 454, 15037, 476, 1724, 267, 476, 1001, 279, 693, 476, 1626, 281, 1789, 454, 1892, 1684, 596, 2731, 1611, 13429, 286, 1772, 834, 5793, 13133, 566, 257, 513, 1732, 2165, 286, 898, 568, 513, 3448, 1523, 281, 17028, 832, 17412, 3661, 269, 4924, 476, 1724, 267, 476, 1001, 279, 693, 476, 1240, 281, 2767, 692, 2691, 596, 616, 1210, 513, 22394, 1991, 267, 596, 616, 14322, 602, 513, 1991, 328, 267, 707, 9936, 568, 8449, 2693, 547, 1491, 1034, 8098, 24777, 2418, 269, 1879, 596, 616, 1210, 606, 13181, 1991, 267, 596, 616, 14322, 602, 513, 1991, 328, 267, 707, 9936, 568, 3648, 811, 2693, 547, 1491, 1880, 2418, 982, 1866, 780, 763, 2241, 2626, 568, 281, 634, 10054, 616, 1018, 519, 1991, 1958, 3941, 780, 2005, 568, 2352, 547, 2491, 713, 811, 5693, 1510, 9764, 7954, 8259, 972, 781, 606, 1383, 267, 865, 2094, 596, 1810, 1405, 1683, 835, 267, 594, 3513, 1118, 835, 909, 8885, 269, 2913, 781, 2161, 602, 596, 616, 3257, 513, 9695, 267, 543, 596, 723, 1036, 816, 832, 1269, 343, 318, 272, 259, 543, 1269, 343, 318, 273, 259, 543, 3077, 1269, 344, 10608, 634, 2203, 568, 513, 2834, 2025, 21714, 2203, 267, 3230, 335, 12169, 347, 320, 318, 271, 28083, 318, 272, 267, 513, 318, 273, 264, 815, 1422, 24837, 346, 301, 12917, 344, 347, 320, 318, 271, 1341, 513, 318, 272, 1535, 318, 272, 1341, 513, 318, 273, 1535, 318, 273, 267, 476, 272, 1040, 2330, 5015, 1577, 781, 2161, 602, 1269, 343, 318, 272, 8961, 1269, 343, 318, 273, 259, 616, 9352, 267, 543, 1269, 347, 344, 347, 283, 1015, 259, 2356, 630, 514, 1931, 547, 1205, 513, 10257, 18440, 1040, 1548, 2186, 540, 1991, 585, 1269, 320, 318, 271, 267, 513, 318, 272, 267, 513, 318, 273, 259, 568, 10257, 547, 946, 2496, 288, 22394, 1991, 1131, 1305, 1269, 335, 5416, 10983, 264, 815, 1422, 24837, 346, 301, 12917, 320, 10983, 347, 271, 267, 476, 1911, 317, 273, 29408, 585, 3236, 267, 1317, 713, 1991, 568, 9247, 6366, 585, 10257, 2418, 540, 519, 14170, 267, 538, 1769, 540, 519, 18440, 540, 519, 1239, 282, 621, 786, 4440, 711, 1860, 519, 17911, 23221, 1454, 952, 649, 1305, 519, 1991, 13065, 547, 1269, 1911, 271, 317, 273, 259, 2901, 780, 4913, 267, 1577, 781, 2161, 602, 649, 1810, 1405, 1589, 602, 782, 1269, 320, 10983, 259, 616, 8449, 2693, 547, 581, 1269, 271, 259, 610, 1269, 276, 259, 610, 1269, 1015, 16859, 1892, 1703, 1522, 581, 513, 1991, 328, 4128, 547, 14353, 602, 519, 1036, 31395, 1269, 343, 318, 273, 259, 3085, 1405, 723, 1454, 1198, 593, 1269, 344, 10608, 1403, 649, 4941, 547, 2936, 713, 1991, 1702, 883, 519, 1991, 3892, 267, 649, 1522, 4584, 1269, 335, 5416, 318, 273, 264, 815, 1422, 24837, 346, 301, 12917, 320, 318, 273, 347, 271, 267, 476, 272, 317, 273, 7751, 3079, 269, 901, 3892, 568, 10704, 1472, 1269, 271, 259, 543, 814, 1970, 13065, 267, 865, 621, 1058, 1526, 1778, 1269, 320, 318, 273, 259, 547, 581, 2673, 547, 1269, 271, 259, 8259, 519, 1239, 834, 1478, 337, 2737, 257, 621, 9244, 780, 1892, 3776, 1991, 27421, 585, 1269, 345, 318, 272, 259, 1522, 581, 602, 621, 814, 513, 2318, 1198, 267, 855, 602, 519, 9588, 568, 811, 7334, 269, 4935, 267, 649, 1522, 3442, 1269, 335, 5416, 318, 272, 264, 815, 1422, 24837, 346, 301, 12917, 320, 318, 272, 347, 274, 267, 476, 276, 317, 273, 30879, 901, 1991, 814, 513, 5354, 630, 3583, 8472, 540, 922, 5506, 2527, 693, 1269, 320, 318, 272, 285, 271, 16859, 1892, 7053, 267, 6148, 649, 1810, 1405, 917, 1454, 827, 519, 18448, 1269, 320, 318, 271, 259, 282, 2705, 267, 1317, 540, 519, 4336, 540, 519, 1239, 267, 621, 666, 1405, 581, 1932, 2462, 269, 4935, 267, 1577, 781, 1305, 1269, 335, 5416, 318, 271, 264, 815, 1422, 24837, 346, 301, 12917, 320, 318, 271, 347, 271, 267, 476, 1015, 317, 273, 7751, 780, 2414, 9096, 909, 267, 4063, 602, 621, 568, 1271, 547, 917, 602, 782, 17028, 832, 2270, 930, 1344, 269, 634, 2243, 568, 875, 1454, 1344, 789, 2270, 269, 4634, 519, 22394, 17028, 832, 1657, 8659, 930, 1344, 538, 1931, 547, 2327, 602, 1269, 320, 10983, 259, 1223, 711, 267, 585, 1383, 267, 723, 1931, 540, 9588, 476, 1015, 317, 1015, 269, 1717, 267, 609, 519, 13181, 1991, 2966, 1657, 267, 649, 3773, 938, 1991, 1702, 883, 519, 8579, 2203, 780, 296, 4612, 519, 2243, 547, 581, 827, 1565, 2066, 834, 28493, 1701, 3371, 568, 513, 2241, 5943, 602, 666, 581, 1031, 547, 9414, 519, 2093, 3238, 780, 13706, 1079, 4559, 267, 13042, 476, 272, 543, 476, 273, 269, 2913, 519, 1239, 10858, 547, 1770, 1269, 328, 259, 581, 20922, 1269, 344, 10983, 259, 630, 3602, 1269, 344, 10983, 259, 949, 581, 7768, 540, 513, 1297, 540, 7422, 4700, 27539, 519, 10386, 14778, 616, 2783, 958, 4830, 281, 3230, 335, 12169, 318, 272, 24689, 9064, 318, 272, 9385, 267, 335, 12169, 318, 273, 24689, 9064, 318, 273, 264, 1547, 2330, 14597, 649, 723, 519, 17911, 3892, 585, 4399, 9064, 318, 272, 259, 1759, 593, 1269, 344, 318, 272, 259, 281, 3230, 335, 7268, 9064, 318 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 298, 20044, 10440, 570, 267, 28514, 4821, 631, 267, 918, 1755, 7288, 590, 267, 1696, 620, 269, 11957, 540, 4105, 4191, 547, 519, 2038, 5868, 543, 10335, 540, 25687, 281, 7681, 1063, 4105, 4191, 543, 18615, 1418, 5821, 4879, 6060, 538, 2550, 609, 25687, 269, 2902, 2405, 269, 476, 1001, 273, 282, 7906, 263, 279, 2567, 9262, 272, 1700, 277, 563, 13233, 23941, 540, 11916, 28742, 269, 26590, 569, 2192, 2550, 538, 6413, 281, 6284, 540, 543, 3210, 547, 8650, 4576, 538, 4079, 538, 6413, 269, 5507, 281, 2817, 4659, 585, 11916, 28742, 282, 476, 1220, 278, 563, 289, 4861, 659, 328, 589, 267, 2806, 21112, 612, 320, 717, 267, 18858, 329, 19561, 674, 267, 2274, 665, 8643, 700, 267, 12844, 822, 7534, 590, 267, 700, 2948, 326, 3534, 700, 269, 17791, 25924, 585, 2359, 540, 2550, 609, 993, 344, 582, 13116, 14694, 26379, 998, 5046, 268, 866, 2766, 269, 3026, 340, 1503, 2233, 269, 476, 1708, 271, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 1911, 278, 4882, 1911, 7761, 268, 22903, 268, 271, 5325, 10695, 14870, 563, 291, 578, 2284, 595, 267, 11969, 749, 681, 267, 9466, 808, 267, 20289, 928, 667, 294, 269, 23120, 8957, 26740, 4105, 4191, 5464, 1210, 513, 28707, 267, 12616, 15429, 538, 2550, 15861, 547, 10551, 530, 1841, 281, 12681, 12440, 19747, 6417, 4693, 269, 808, 2405, 5769, 1763, 269, 476, 1001, 279, 282, 736, 263, 1321, 1040, 4179, 2517, 8742, 3820, 270, 1015, 269, 25546, 277, 270, 10482, 6349, 563, 2171, 523, 330, 631, 267, 645, 1042, 773, 590, 297, 267, 918, 14535, 17507, 631, 267, 31928, 1088, 1074, 717, 267, 8709, 717, 3233, 670, 267, 8709, 632, 25028, 8946, 269, 23120, 5464, 540, 4105, 4191, 538, 519, 2489, 20758, 1210, 28707, 3457, 281, 19747, 6417, 4693, 269, 808, 2405, 5769, 1763, 269, 476, 1708, 271, 282, 2420, 263, 277, 2567, 324, 15150, 10170, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 25546, 277, 270, 15150, 10170, 563, 305, 5819, 5441, 540, 4284, 5974, 269, 2817, 7216, 2782, 940, 24143, 630, 301, 11246, 306, 264, 476, 273, 1923, 681, 9573, 5507, 269, 5507, 281, 21832, 306, 476, 273, 282, 476, 1001, 278, 563, 291, 578, 2284, 595, 267, 31436, 590, 267, 20289, 928, 667, 267, 654, 784, 667, 269, 4039, 6636, 540, 513, 28707, 12616, 15429, 585, 6024, 6552, 5464, 540, 4105, 4191, 538, 2550, 23232, 689, 2101, 6391, 281, 513, 4791, 15418, 1353, 689, 519, 13138, 320, 290, 2562, 326, 4693, 269, 22720, 297, 7046, 269, 476, 1001, 280, 282, 280, 263, 279, 2567, 324, 31648, 5611, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 13647, 277, 11486, 332, 329, 13449, 268, 1001, 280, 268, 31648, 5611, 563, 14813, 5509, 1489, 585, 713, 1382, 729, 3177, 676, 519, 22078, 16281, 15875, 4437, 32441, 3194, 10418, 630, 289, 13612, 264, 543, 519, 22078, 16281, 15875, 21111, 8881, 25927, 1049, 3194, 10418, 630, 303, 4306, 13612, 1916, 1607, 960, 729, 6462, 676, 513, 9886, 3177, 998, 595, 310, 266, 630, 1492, 4013, 17493, 540, 595, 3559, 22855, 543, 31689, 11233, 1040, 634, 7616, 1560, 786, 1404, 1100, 1909, 538, 519, 1374, 540, 519, 1353, 543, 4015, 267, 2079, 267, 543, 7664, 540, 1239, 543, 538, 1603, 713, 12377, 563, 288, 18308, 543, 10500, 8270, 725, 454, 19667, 1707, 540, 17889, 1299, 9435, 267, 853, 6307, 779, 11233, 267, 476, 1015, 628, 4469, 3233, 10348, 10906, 519, 10348, 12624, 30733, 630, 304, 292, 304, 300, 264, 853, 6307, 779, 28941, 267, 5507, 267, 654, 273, 476, 272, 29369, 267, 5177, 454, 293, 1695, 611, 16334, 329, 339, 19487, 594, 336, 4472, 267, 2725, 5028, 21280, 6062, 267, 670, 27175, 12891, 571, 325, 1014, 1299, 19966, 11023, 17844, 454, 26156, 631, 26680, 1410, 2160, 11233, 267, 3828, 1157, 523, 5069, 10003, 267, 1772, 548, 10290, 267, 29375, 278, 476, 277, 28425, 267, 5177, 454, 293, 11085, 31751, 519, 12377, 269, 2549, 754, 906, 941, 1500, 676, 631, 297, 267, 27699, 267, 22743, 267, 717, 291, 267, 543, 5084, 269, 18926, 9270, 941, 5941, 609, 631, 297, 267, 27699, 267, 543, 22743, 269, 634, 2856, 729, 22885, 676, 631, 297, 543, 27699, 269, 634, 2278, 4433, 264, 1224, 543, 9516, 519, 3803, 12377, 563, 5472, 5171, 1590, 1683, 9844, 547, 7119, 269, 901, 1353, 814, 4607, 5683, 13170, 676, 5507, 1700, 20075, 523, 12384, 3194, 15979, 9730, 630, 7644, 3008, 281, 476, 27005, 4037, 278, 1916, 8256, 550, 585, 8313, 454, 8256, 550, 786, 581, 3144, 585, 8313, 563, 763, 4589, 17551, 602, 789, 723, 1100, 12721, 4690, 563, 306, 1440, 5424, 7186, 3788, 9243, 609, 2543, 547, 11758, 12302, 6811, 538, 3370, 7851, 543, 12250, 28930, 725, 563, 305, 2074, 543, 27704, 454, 15411, 7457, 901, 2376, 568, 13931, 896, 513, 11300, 12780, 21922, 476, 275, 269, 271, 4139, 17821, 267, 799, 14998, 946, 267, 4687, 267, 9542, 267, 3892, 543, 12093, 538, 1022, 5420, 610, 3898, 267, 607, 1279, 607, 596, 2285, 3617, 5491, 547, 519, 3312, 2278, 4433, 264, 543, 519, 2707, 267, 1683, 513, 3095, 547, 519, 11300, 12780, 6132, 775, 267, 543, 5815, 952, 2242, 941, 1500, 269, 634, 2592, 610, 824, 3791, 5428, 1570, 538, 713, 2376, 616, 3769, 538, 519, 2376, 781, 11300, 12780, 6132, 775, 267, 8259, 8612, 6382, 538, 513, 5491, 1899, 547, 519, 1570, 269, 1403, 1570, 568, 711, 3769, 538, 519, 2376, 781, 11300, 12780, 6132, 775, 543, 707, 5497, 946, 568, 711, 15868, 676, 27152, 7939, 610, 20489, 519, 15868, 946, 267, 596, 786, 991, 547, 3489, 10479, 2047, 689, 519, 10677, 23649, 269, 1677, 2070, 513, 5299, 540, 713, 6132, 775, 267, 3643, 5291, 2517, 16579, 633, 5570, 976, 3820, 270, 997, 5151, 270, 2421, 270, 275, 269, 271, 28918, 634, 11300, 12780, 5398, 23792, 667, 539, 1709, 3649, 1853, 630, 10674, 2517, 16579, 633, 5570, 976, 3820, 9706, 3016, 3256, 664, 270, 14706, 270, 272, 269, 271, 270, 264, 10039, 547, 519, 1239, 1500, 2139, 538, 713, 2376, 267, 8259, 6382, 7150, 538, 513, 5491, 1899, 547, 519, 1239, 563, 296, 336, 4472, 267, 674, 8160, 1421, 21280, 6062, 267, 631, 1421, 5096, 625, 267, 717, 269, 1696, 620, 269, 5071, 540, 519, 12681, 267, 6169, 540, 1523, 31087, 5588, 292, 4211, 302, 4668, 4693, 281, 6552, 5464, 946, 538, 16143, 2665, 540, 5046, 268, 866, 630, 306, 12678, 17336, 268, 273, 1916, 303, 559, 582, 3171, 553, 2225, 2289, 278, 267, 476, 7830, 630, 1708, 272, 1040, 4179, 2517, 8742, 3820, 270, 1015, 269, 14093, 277, 4882, 2412, 279, 1691, 268, 28512, 268, 25484, 6860, 268, 275, 0, 17357, 517, 8785, 568, 18363, 938, 1554, 3562, 6377, 2729, 267, 609, 27579, 17997, 906, 2495, 519, 4182, 814, 547, 3251, 693, 1753, 543, 2057, 1875, 268, 24207, 1857, 5624, 1107, 875, 1082, 1004, 538, 519, 5177, 723, 11452, 286, 543, 875, 798, 596, 9156, 689, 519, 2068, 888, 1692, 1082, 1004, 723, 11452, 888, 10908, 984, 958, 267, 972, 616, 811, 982, 476, 273, 267, 280, 2641, 267, 6872, 272, 2665, 540, 11452, 267, 543, 936, 476, 10711, 267, 26482, 540, 891, 1004, 723, 5747, 563, 1432, 596, 1810, 1406, 5873, 1419, 568, 602, 476, 279, 4391, 267, 271, 3393, 540, 891, 723, 16626, 563, 8170, 782, 519, 6806, 2665, 268, 2665, 799, 723, 1185, 606, 6364, 268, 476, 3199, 2600, 540, 2550, 723, 16626, 267, 543, 476, 736, 2600, 723, 5747, 563, 1103, 519, 5177, 267, 519, 2698, 1297, 540, 2665, 568, 693, 476, 16825, 267, 28071, 267, 543, 811, 982, 476, 736, 267, 1822, 540, 891, 1004, 723, 5747, 538, 10506, 4805, 563, 3383, 875, 814, 713, 5949, 286, 1215, 798, 1004, 9156, 689, 11452, 888, 3918, 4696, 27749, 268, 27649, 3542, 281, 13201, 16907, 529, 610, 2342, 2944, 811, 547, 26193, 519, 2068, 888, 268, 5177, 27579, 281, 1215, 1279, 786, 1435, 338, 267, 13063, 543, 14060, 581, 6806, 888, 1692, 798, 596, 9156, 689, 11452, 888, 30535, 945, 2154, 6413, 1416, 543, 606, 5135, 9633, 786, 1491, 3476, 547, 9156, 267, 538, 2489, 563, 288, 2622, 2657, 25944, 1867, 689, 5988, 1767, 2550, 609, 513, 968, 572, 3164, 610, 2565, 892, 2013, 540, 11452, 666, 2503, 547, 9156, 538, 827, 1614, 547, 3670, 4374, 267, 855, 621, 1223, 1491, 3476, 563, 5194, 1353, 3370, 538, 519, 3703, 6481, 4750, 1107, 711, 1808, 547, 11452, 268, 1336, 602, 1346, 945, 6108, 4374, 538, 14021, 1416, 1265, 789, 1869, 723, 4887, 8467, 513, 7008, 540, 3275, 1310, 6028, 519, 6413, 563, 1607, 666, 2063, 585, 1776, 3670, 3275, 543, 1611, 2550, 6560, 547, 798, 1554, 3562, 6377, 4247, 267, 899, 6972, 909, 560, 4202, 267, 543, 3478, 856, 540, 519, 8602, 563, 7804, 6276, 28711, 267, 13382, 543, 4791, 32082, 693, 2782, 19213, 6481, 3427, 267, 3081, 621, 568, 5156, 602, 267, 540, 519, 2550, 538, 6413, 267, 827, 3368, 786, 2154, 1100, 2417, 1416, 1310, 1373, 26809, 563, 2026, 585, 519, 1964, 267, 476, 3393, 2600, 786, 991, 968, 16341, 1106, 540, 1970, 7400, 2564, 610, 1514, 1496, 3249, 316, 5608, 543, 519, 6967, 2947, 2600, 786, 991, 968, 3467, 5059, 267, 7920, 14317, 9731, 26536, 531, 15894, 281, 681, 31381, 6129, 752, 2306, 27290, 2242, 547, 8027, 4324, 1496, 2562, 19489, 300, 2207, 2639, 310, 564, 1667, 335, 9398, 1435, 338, 547, 2673, 281, 1772, 22911, 1667, 335, 9398, 1930, 14182, 286, 1496, 2562, 19489, 300, 2207, 2639, 17357, 517, 8785, 281, 1215, 5053, 12071, 18327, 1514, 26865, 666, 4688, 2729, 1496, 13052, 303, 6369, 2562, 2207, 2639, 268, 27649, 7977, 281, 12280, 17167, 865, 1513, 547, 811, 982, 476, 275, 267, 1822, 1107, 476, 277, 2767, 811, 4666, 454, 3963, 798, 1004, 5884, 689, 11452, 888, 5278, 1004, 1020, 513, 811, 3978, 1106, 540, 11452, 950, 741, 4761, 1062, 936, 516, 9711, 547, 519, 3644, 563, 1607, 3123, 6553, 540, 519, 9641, 268, 1732, 1634, 607, 16415, 563, 4415, 16415, 267, 6263, 5485, 338, 538, 519, 9641, 1376, 547, 6445, 909, 609, 1216, 543, 713, 5012, 547, 26032, 540, 7362, 563, 32481, 476, 1691, 2600, 540, 1004, 538, 3624, 4810, 713, 563, 10214, 8338, 267, 3670, 2600, 540, 2665, 666, 1831, 9691, 2192, 563, 19853, 4703, 1376, 547, 3111, 543, 2669, 568, 513, 1483, 7872, 585, 713, 1895, 563, 763, 4761, 1062, 5956, 547, 18700, 856, 540, 1852, 543, 713, 666, 2014, 23170, 8710, 563, 5353, 10364, 8710, 568, 950, 707, 1973, 2604, 12772, 865, 1970, 602, 707, 8219, 3247, 2324, 563, 12663, 1514, 26865, 543, 1582, 268, 18066, 908, 948, 721, 9156, 689, 11452, 888, 763, 6554, 814, 1044, 9963, 2826, 338, 547, 2048, 26835, 693, 1753, 685, 585, 811, 982, 513, 3923, 1631, 267, 855, 786, 713, 798, 1022, 1434, 888, 294, 990, 16896, 6941, 4010, 1946, 596, 991, 547, 3251, 16280, 563, 763, 3135, 3081, 281, 968, 1607, 5583, 568, 585, 3025, 267, 1519, 1453, 563, 17606, 1443, 2478, 593, 1514, 26865, 3800, 649, 1058, 782, 581, 2921, 547, 2569, 1514, 5872, 1063, 1004, 538, 1931, 547, 2569, 519, 6771, 540, 11452, 630, 26542, 268, 866, 1916, 17606, 568, 5497, 585, 946, 538, 3871, 1141, 1004, 616, 2713, 538, 741, 1378, 5321, 267, 609, 610, 1510, 3606, 1489, 689, 2828, 267, 1920, 543, 1416, 3464, 563, 763, 1514, 26865, 3652, 693, 1459, 616, 3551, 267, 789, 616, 912, 268, 3680, 3346, 609, 2576, 945, 568, 18071, 2589, 540, 11452, 630, 26542, 268, 866, 1040, 1452, 2589, 1331, 1164, 2837, 543, 5924, 1007, 543, 6024, 11522, 454, 268, 3680, 1875, 268, 24207, 946, 540, 1857, 3560, 950, 2009, 454, 268, 4518, 689, 1753, 267, 1141, 2009, 269, 2659, 16108, 1058, 1489, 596, 547, 798, 713, 269, 7490, 3277, 547, 16108, 5583, 585, 811, 1344, 454, 268, 3680, 1804, 543, 1507, 19771, 538, 1857, 5624, 267, 15663, 602, 1435, 338, 267, 14060, 267, 16837, 18013, 543, 2147, 28503, 616, 4867, 9505, 607, 5563, 3262, 3362, 538, 6806, 5624, 1141, 1004, 5531, 1927, 563, 268, 3680, 19771, 609, 2828, 543, 1920, 269, 5901, 538, 5905, 1210, 6552, 2029, 971, 607, 6049, 267, 4950, 267, 543, 1514, 2923, 454, 268, 2422, 15146, 610, 2228, 2533, 547, 3346, 707, 13382, 610, 824, 1898, 2533, 454, 763, 3069, 568, 602, 713, 5786, 540, 1514, 5872, 786, 3500, 519, 6771, 540, 5046, 268, 866, 563, 14276, 2657, 4789, 814, 1767, 602, 891, 3800, 5749, 1406, 513, 1007, 1523, 267, 789, 616, 968, 6202, 28004, 543, 723, 1044, 5941 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5228, 4351, 1104, 28219, 842, 1477, 3698, 28185, 541, 318, 611, 643, 514, 327, 659, 7776, 28399, 567, 1820, 2891, 265, 257, 265, 1789, 3418, 567, 1820, 2891, 7052, 808, 690, 334, 13005, 1520, 643, 514, 3873, 23843, 2878, 1262, 14744, 567, 1820, 2891, 265, 257, 265, 1789, 10142, 567, 11425, 3385, 815, 476, 272, 1477, 567, 562, 633, 331, 815, 703, 9272, 2891, 14707, 924, 522, 715, 6403, 767, 798, 808, 690, 334, 24097, 333, 476, 272, 910, 674, 5451, 4290, 1422, 333, 273, 910, 631, 2946, 323, 1470, 1422, 333, 274, 910, 667, 604, 6403, 4290, 14826, 8442, 3418, 567, 952, 562, 633, 331, 2652, 476, 272, 6769, 8587, 17895, 520, 643, 553, 815, 476, 736, 1477, 8587, 1003, 3266, 815, 28219, 842, 263, 271, 267, 1911, 3418, 8587, 1820, 2891, 14707, 924, 19804, 6613, 3266, 632, 476, 271, 693, 2946, 476, 1911, 281, 14744, 567, 8640, 562, 633, 331, 2652, 476, 273, 6769, 8587, 17895, 520, 643, 553, 815, 476, 1015, 1477, 8587, 1003, 3266, 815, 28219, 842, 263, 271, 267, 2004, 3418, 8587, 1820, 2891, 14707, 924, 19804, 6613, 3266, 632, 476, 271, 693, 2946, 476, 2004, 281, 14744, 567, 8640, 562, 633, 331, 2652, 476, 274, 6769, 8587, 17895, 520, 643, 553, 815, 476, 274, 1477, 8587, 1003, 3266, 815, 28219, 842, 263, 271, 267, 1015, 3418, 8587, 1820, 2891, 14707, 924, 19804, 6613, 3266, 632, 476, 271, 693, 2946, 476, 1015, 281, 257, 10142, 567, 1247, 11425, 3385, 10922, 17895, 520, 643, 553, 6769, 8587, 1820, 2891, 307, 550, 520, 10216, 2715, 9574, 632, 15079, 1502, 633, 529, 1701, 269, 8971, 263, 16967, 3385, 267, 17895, 520, 643, 553, 17903, 8587, 669, 1393, 815, 703, 9272, 2891, 14707, 924, 19804, 6613, 3266, 281, 8442, 3418, 8587, 1820, 2891, 309, 334, 576, 32693, 537, 24333, 577, 1393, 10142, 8587, 1035, 1068, 537, 815, 669, 1393, 2652, 1003, 3266, 1477, 8587, 12103, 1640, 815, 669, 1393, 3436, 1003, 3266, 1477, 8587, 2367, 528, 815, 669, 1393, 2999, 1003, 3266, 5897, 8587, 952, 1035, 1068, 537, 6769, 1363, 1820, 2891, 309, 334, 576, 1035, 1068, 537, 256, 572, 717, 5875, 24926, 14744, 1363, 2736, 1477, 8587, 8640, 12103, 1640, 6769, 1363, 1820, 2891, 309, 334, 576, 2144, 709, 256, 642, 322, 7857, 537, 19804, 1003, 3266, 12103, 1640, 1701, 3418, 8587, 8640, 2367, 528, 6769, 1363, 1820, 2891, 309, 334, 576, 2144, 709, 256, 642, 322, 7857, 537, 19804, 1003, 3266, 2367, 528, 1701, 10142, 8587, 11425, 3385, 815, 11425, 3385, 1341, 272, 5897, 567, 1820, 2891, 29228, 3683, 14744, 567, 1820, 2891, 302, 1003, 3266, 6566, 328, 5964, 20527, 24333, 11133, 3266, 3418, 567, 1820, 2891, 22296, 553, 17895, 520, 643, 553, 585, 600, 24333, 577, 1393, 3418, 5897, 24653, 0, 5814, 7696, 687, 677, 454, 5814, 1770, 11687, 692, 5035, 23453, 542, 31374, 14818, 263, 684, 8636, 652, 11053, 652, 19111, 17107, 825, 1219, 1305, 10000, 4311, 2187, 1038, 1582, 27044, 687, 677, 815, 7696, 687, 677, 269, 11900, 1068, 542, 31374, 692, 825, 1219, 15237, 291, 1144, 4311, 2187, 1038, 1582, 27044, 687, 677, 815, 7183, 692, 825, 1219, 1449, 5334, 677, 4311, 2187, 1038, 1449, 12774, 815, 1496, 3393, 267, 476, 6858, 267, 476, 273, 267, 476, 274, 267, 476, 276, 267, 476, 278, 267, 476, 279, 7176, 267, 476, 280, 267, 476, 277, 267, 476, 276, 267, 476, 275, 267, 476, 3451, 267, 476, 274, 267, 476, 28307, 5780, 267, 476, 272, 2639, 1038, 15044, 9078, 560, 815, 1496, 272, 267, 476, 273, 267, 476, 274, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 276, 267, 476, 277, 267, 476, 278, 267, 476, 280, 267, 476, 3451, 267, 476, 3393, 267, 476, 6858, 267, 476, 279, 7176, 267, 476, 28307, 5780, 6540, 1038, 1582, 27044, 687, 677, 31699, 6025, 652, 12774, 994, 1038, 1582, 27863, 6025, 652, 12774, 267, 15044, 9078, 560, 2020, 825, 1219, 1449, 11900, 1068, 687, 677, 4311, 2187, 1038, 1449, 12774, 815, 1496, 279, 267, 476, 276, 267, 476, 274, 267, 476, 272, 267, 476, 280, 267, 476, 277, 267, 476, 271, 267, 476, 278, 267, 476, 275, 267, 476, 273, 267, 476, 276, 2639, 1038, 1582, 27044, 687, 677, 31699, 6025, 652, 12774, 994, 1038, 585, 1775, 538, 2039, 263, 272, 267, 7003, 6025, 652, 12774, 15892, 2018, 952, 1449, 12774, 5157, 910, 476, 272, 316, 3436, 1449, 12774, 5157, 14158, 3546, 1582, 8807, 841, 2891, 12133, 687, 677, 1505, 14543, 1701, 2020, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1770, 11687, 6230, 664, 4590, 0, 5228, 10070, 1104, 3957, 14654, 921, 692, 3698, 2132, 5332, 3139, 14654, 921, 28949, 16911, 267, 2878, 29220, 16911, 2187, 825, 1219, 7718, 1807, 6600, 15635, 2187, 1038, 1219, 12109, 3899, 28949, 16911, 272, 267, 2878, 29220, 16911, 272, 2187, 2018, 1267, 815, 30775, 28949, 16911, 272, 267, 2878, 29220, 16911, 272, 994, 2018, 4408, 815, 1496, 265, 16911, 6540, 2018, 759, 318, 529, 4671, 340, 921, 815, 568, 27349, 31114, 267, 24042, 994, 2018, 952, 759, 318, 529, 4671, 340, 921, 912, 3546, 28088, 815, 3957, 14654, 921, 3488, 4910, 738, 3299, 4408, 994, 3546, 1267, 815, 28088, 28949, 14310, 2020, 2018, 2132, 1267, 454, 1038, 2132, 12109, 3899, 454, 825, 2132, 7718, 1807, 692, 604, 6449, 4067, 1029, 2652, 21507, 10852, 1029, 262, 1384, 825, 7711, 8873, 5332, 3139, 14654, 921, 3488, 821, 3299, 1412, 18314, 3299, 1412, 22764, 5073, 825, 1219, 30775, 10031, 1038, 2132, 476, 272, 267, 476, 273, 267, 476, 274, 692, 825, 7711, 8873, 5332, 3139, 14654, 921, 3488, 14140, 12173, 3299, 1412, 18431, 12173, 3299, 1412, 720, 3299, 1412, 1706, 4461, 5073, 825, 1219, 30775, 273, 10031, 1038, 2132, 1412, 298, 622, 3299, 1412, 310, 1231, 2280, 3299, 1412, 5655, 3299, 1496, 12739, 267, 476, 8287, 6540, 825, 1820, 6600, 15635, 15405, 825, 1820, 6600, 15635, 273, 28829, 0, 5228, 14854, 1104, 25725, 267, 24897, 454, 5228, 4778, 1104, 4778, 454, 5228, 4351, 1104, 28219, 842, 7531, 22780, 6831, 22511, 815, 476, 11740, 454, 335, 23981, 318, 655, 518, 7978, 318, 273, 815, 25725, 4590, 335, 23981, 318, 655, 518, 7978, 318, 273, 17482, 2891, 339, 31103, 5602, 339, 31103, 5334, 10547, 815, 24897, 4590, 323, 2700, 815, 476, 1911, 454, 328, 815, 476, 274, 692, 6112, 1775, 2999, 476, 1556, 912, 825, 2681, 26000, 3005, 815, 28219, 842, 263, 271, 267, 7003, 263, 3712, 832, 264, 910, 476, 272, 994, 825, 13099, 320, 318, 655, 518, 7978, 318, 273, 269, 10233, 263, 3712, 832, 314, 10233, 26000, 3005, 7481, 825, 795, 815, 476, 272, 454, 825, 1247, 795, 10922, 1775, 912, 1038, 5086, 318, 2431, 815, 1770, 6831, 22511, 1315, 1775, 454, 1038, 13099, 320, 318, 655, 518, 7978, 318, 273, 269, 3453, 5560, 2700, 994, 1038, 13099, 320, 318, 655, 518, 7978, 318, 273, 16192, 263, 4120, 318, 2431, 994, 1038, 795, 6834, 476, 272, 454, 825, 1775, 6834, 476, 272, 0, 12163, 1607, 11711, 6257, 519, 9893, 1362, 563, 288, 9893, 786, 4558, 513, 3126, 540, 7161, 267, 799, 786, 723, 513, 2497, 540, 2878, 29728, 12533, 9616, 602, 972, 949, 723, 1016, 7302, 1622, 1813, 547, 4655, 3092, 563, 12163, 5228, 7780, 1006, 4732, 3559, 557, 10048, 4526, 1104, 17125, 557, 10048, 4526, 454, 5228, 7780, 1006, 20216, 8526, 1104, 13332, 8253, 28062, 2750, 4003, 267, 13332, 2419, 664, 8253, 26239, 322, 2750, 4003, 267, 13332, 2419, 664, 8253, 10907, 1061, 2750, 4003, 454, 5228, 13332, 269, 23026, 1104, 13332, 454, 5228, 7780, 1006, 269, 5341, 3519, 18030, 1104, 23641, 692, 258, 7383, 10439, 1436, 13088, 454, 290, 3198, 318, 309, 3041, 308, 3201, 22003, 292, 815, 8771, 454, 339, 787, 912, 825, 689, 10439, 1125, 269, 6665, 783, 1125, 28343, 2419, 664, 1104, 14650, 28343, 2419, 664, 454, 825, 27114, 318, 309, 3041, 308, 3201, 22003, 292, 815, 6936, 454, 21955, 7383, 13286, 912, 825, 23641, 269, 19587, 2891, 293, 9229, 547, 1104, 10439, 1436, 15484, 3553, 269, 634, 14839, 1505, 4433, 264, 786, 711, 581, 2139, 1701, 9239, 5035, 23204, 22829, 3559, 557, 10048, 4526, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 1239, 26073, 281, 1193, 2187, 1038, 2706, 16360, 6674, 7798, 267, 1582, 1040, 1029, 8181, 9191, 11907, 26073, 994, 1038, 1582, 27982, 3891, 697, 815, 910, 272, 454, 1038, 1582, 8542, 636, 28343, 815, 7003, 4311, 269, 12399, 15405, 1038, 2706, 14061, 1029, 3553, 14403, 1029, 2891, 271, 742, 2580, 834, 4629, 5588, 8442, 476, 1948, 634, 3597, 540, 5832, 780, 825, 1219, 26763, 10574, 4311, 2187, 1038, 2706, 14061, 342, 6559, 10574, 4590, 1038, 2706, 14061, 1029, 3553, 14403, 1029, 2891, 271, 742, 2580, 834, 4629, 5588, 8442, 476, 1948, 634, 3597, 540, 5832, 780, 825, 1219, 6449, 3553, 14403, 9191, 1345, 267, 1883, 281, 1193, 267, 6221, 281, 13332, 2187, 1038, 8173, 1038, 5410, 513, 3625, 1843, 883, 519, 13332, 2419, 664, 563, 1038, 2433, 12407, 1883, 281, 6206, 540, 9218, 6740, 676, 6692, 557, 269, 769, 13332, 2419, 664, 1362, 267, 2356, 519, 15279, 295, 1662, 540, 3625, 1843, 563, 1038, 2433, 12407, 6221, 281, 519, 3625, 6221, 547, 581, 6740, 454, 1038, 2433, 8873, 281, 7183, 454, 1038, 8173, 1038, 7682, 568, 27349, 263, 14403, 267, 13332, 1070, 834, 28343, 7798, 1362, 666, 1152, 4558, 13332, 8629, 607, 1871, 4799, 1038, 952, 1883, 538, 1582, 269, 12399, 10031, 2018, 23641, 14061, 8705, 940, 2891, 763, 23204, 5526, 547, 723, 513, 19474, 16580, 593, 1883, 15079, 2668, 8971, 31107, 11723, 1038, 6221, 19056, 815, 6221, 6155, 7927, 4590, 1038, 2706, 16360, 6674, 7798, 267, 1582, 1040, 1029, 3553, 14403, 9191, 4486, 267, 6221, 19056, 2020, 825, 1219, 6449, 1326, 14403, 9191, 1345, 267, 1883, 281, 1193, 264, 9847, 13332, 912, 1038, 8173, 1038, 5192, 519, 3625, 1843, 6740, 538, 519, 7222, 1883, 780, 1038, 2433, 12407, 1883, 281, 13332, 25300, 10025, 454, 1038, 2433, 8873, 281, 13332, 8629, 454, 1038, 8173, 1038, 2119, 912, 2018, 6221, 19056, 815, 2706, 14061, 1029, 1326, 14403, 9191, 4486, 994, 2018, 2132, 13332, 269, 2903, 338, 263, 14403, 19056, 994, 1038, 4849, 6206, 13286, 912, 2018, 6318, 13332, 8253, 28062, 2750, 4003, 31107, 2020, 825, 1219, 1039, 6124, 28343, 4311, 267, 1007, 28343, 281, 13332, 264, 9847, 7183, 912, 1038, 8173, 1038, 5410, 513, 1007, 3625, 1843, 883, 519, 13332, 2419, 664, 454, 1038, 2433, 8873, 281, 7183, 454, 1038, 8173, 1038, 952, 1007, 28343, 269, 19417, 10922, 1582, 27982, 3891, 697, 912, 2018, 1948, 4676, 2224, 519, 3625, 950, 519, 3625, 568, 593, 513, 10156, 5832, 563, 2018, 6318, 13332, 2419, 664, 8253, 10907, 1061, 2750, 4003, 28956, 28343, 267, 1582, 27982, 3891, 697, 994, 1038, 952, 1007, 28343, 269, 2181, 341, 295, 1662, 711, 538, 1582, 269, 12399, 3890, 543, 1582, 8542, 636, 28343, 11203, 476, 271, 912, 2018, 1948, 4676, 2224, 519, 3625, 602, 568, 711, 4448, 547, 1699, 5832, 269, 630, 10190, 5348, 322, 1299, 19467, 5612, 994, 2018, 6318, 13332, 2419, 664, 8253, 26239, 322, 2750, 4003, 28956, 28343, 269, 28411, 295, 1662, 19572, 1007, 28343, 269, 2181, 341, 295, 1662, 2020, 1038, 1582, 8542, 636, 28343, 6834, 476, 272, 454, 1038, 1582, 27982, 3891, 697, 815, 1007, 28343, 269, 19417, 692, 1038, 1582, 314, 2908, 28343, 269, 28411, 295, 1662, 3890, 316, 815, 1007, 28343, 692, 825, 1219, 19467, 4311, 267, 824, 2419, 664, 264, 9847, 7183, 912, 1038, 886, 296, 1091, 815, 1305, 263, 1278, 2419, 664, 269, 12399, 28829, 910, 1305, 4311, 269, 12399, 15405, 1038, 8863, 20315, 2894, 9331, 815, 476, 271, 692, 1038, 814, 27087, 815, 6936, 454, 1038, 1247, 814, 27087, 912, 2018, 814, 27087, 815, 8771, 454, 2018, 585, 886, 27306, 538, 886, 296, 1091, 912, 3546, 952, 824, 2419, 664, 314, 18528, 27306, 4940, 2181, 341, 295, 1662, 538, 1582, 269, 12399, 3890, 543, 886, 27306, 711, 538, 1582, 269, 12399, 10031, 7386, 1582, 314, 18528, 27306, 316, 815, 824, 2419, 664, 314, 18528, 27306, 2639, 7386, 8863, 20315, 2894, 9331, 6834, 476, 272, 454, 7386, 814, 27087, 815, 6936, 692, 1038, 952, 8863, 20315, 2894, 9331, 2999, 7003, 5560, 858, 296, 1091, 2567, 23641, 269, 8705, 940, 2891, 5278, 540, 519, 2349, 4169, 8959, 547, 19467, 15419, 825, 1219, 1265, 14611, 2419, 664, 4311, 264, 9847, 1592, 912, 1038, 8173, 1038, 4855, 519, 1292, 20456, 540, 3625, 5832, 563, 1038, 2433, 8873, 281, 513, 1305, 540, 3625, 476, 1749, 602, 568, 593, 519, 1292 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 779, 17477, 15271, 543, 6394, 3854, 267, 4180, 922, 22026, 547, 2594, 1007, 2883, 8852, 563, 3086, 602, 596, 1174, 519, 8051, 4783, 267, 621, 779, 942, 547, 2322, 713, 1702, 883, 2962, 256, 3776, 3268, 786, 948, 11177, 1931, 267, 9355, 267, 543, 6015, 538, 707, 2883, 2359, 1184, 563, 8855, 267, 13215, 707, 2754, 779, 1433, 15209, 666, 12260, 10092, 547, 1732, 3375, 6194, 267, 8476, 10512, 4398, 267, 543, 811, 2208, 3255, 269, 5272, 1193, 728, 596, 1118, 538, 26762, 707, 1870, 18083, 568, 513, 1900, 6251, 547, 8757, 29426, 1967, 269, 0, 22033, 827, 519, 1686, 540, 519, 13022, 12818, 540, 22176, 653, 334, 634, 3140, 13022, 12818, 540, 22176, 653, 334, 568, 4092, 538, 519, 2749, 540, 22176, 653, 334, 538, 519, 26219, 6259, 6243, 267, 1141, 713, 14500, 568, 4092, 538, 519, 3844, 851, 540, 519, 2749, 267, 543, 811, 10502, 538, 606, 1858, 602, 568, 2362, 982, 519, 1964, 540, 519, 1158, 676, 1896, 9937, 540, 7397, 269, 634, 1686, 540, 519, 13022, 12818, 540, 22176, 653, 334, 568, 2808, 519, 1034, 1271, 3140, 28151, 593, 519, 2518, 1377, 1656, 835, 540, 519, 1034, 1271, 20375, 540, 519, 2749, 267, 799, 729, 540, 1390, 2956, 593, 1312, 5011, 281, 21825, 543, 17740, 3320, 563, 22033, 827, 519, 1686, 540, 519, 13022, 12818, 540, 22176, 653, 334, 589, 25167, 19289, 634, 1686, 540, 519, 13022, 12818, 540, 22176, 653, 334, 7389, 1394, 547, 519, 5664, 12698, 267, 543, 519, 13022, 12818, 540, 22176, 653, 334, 568, 2808, 835, 540, 519, 9510, 543, 4102, 28151, 538, 519, 1158, 269, 634, 631, 600, 1663, 802, 543, 519, 15718, 344, 889, 1749, 267, 1247, 621, 5526, 602, 1034, 540, 519, 1699, 4070, 7389, 1394, 547, 519, 15718, 344, 889, 573, 1974, 454, 306, 13270, 5463, 2610, 6941, 519, 1686, 540, 519, 13022, 12818, 540, 22176, 653, 334, 547, 596, 267, 15210, 5467, 269, 2913, 781, 979, 2507, 563, 14532, 540, 22176, 653, 334, 13022, 12818, 1325, 27691, 1695, 9346, 634, 1686, 540, 22176, 653, 334, 13022, 12818, 7389, 1394, 547, 519, 5664, 12698, 267, 543, 621, 568, 835, 540, 519, 1034, 7986, 1806, 540, 9099, 6189, 602, 814, 12873, 922, 24240, 5898, 269, 898, 729, 3710, 593, 513, 14629, 538, 519, 4099, 540, 519, 2749, 693, 606, 15820, 540, 476, 2412, 7397, 269, 898, 2882, 519, 2025, 851, 540, 519, 2749, 609, 606, 1858, 540, 827, 476, 275, 5998, 273, 543, 11498, 689, 519, 3723, 540, 519, 14629, 269, 769, 519, 14500, 593, 519, 7262, 2427, 972, 616, 519, 4102, 543, 1655, 4988, 536, 18054, 1513, 269, 2059, 519, 2269, 527, 269, 6790, 1115, 267, 22278, 26600, 547, 4123, 538, 519, 536, 18054, 541, 267, 972, 616, 849, 1164, 2914, 6817, 8075, 538, 519, 2757, 10821, 2127, 540, 519, 2025, 4884, 543, 713, 1671, 15590, 1149, 519, 1686, 540, 22176, 653, 334, 781, 20961, 9346, 13022, 12818, 454, 4517, 1317, 590, 13270, 5463, 2610, 568, 519, 1034, 13747, 2754, 538, 519, 1148, 540, 9703, 23732, 267, 621, 2982, 596, 267, 15210, 5467, 267, 1018, 568, 519, 1686, 540, 22176, 653, 334, 13022, 12818, 543, 922, 15456, 2934, 607, 5205, 2507, 563, 19425, 2801, 1670, 2963, 1336, 693, 519, 3135, 540, 519, 13022, 12818, 540, 22176, 653, 334, 6920, 602, 519, 1686, 540, 519, 13022, 12818, 540, 22176, 653, 334, 7389, 1394, 547, 519, 2034, 26992, 7460, 269, 1282, 519, 670, 8636, 924, 5736, 269, 3509, 3504, 17633, 723, 1044, 4362, 267, 971, 607, 519, 11454, 540, 519, 589, 1090, 6756, 5601, 16874, 611, 543, 519, 11454, 540, 519, 5601, 932, 889, 454, 2005, 729, 1031, 607, 513, 28183, 1996, 4914, 6285, 543, 32042, 538, 519, 18774, 523, 2065, 543, 4936, 21971, 454, 10190, 519, 3148, 3357, 896, 20850, 4341, 267, 543, 519, 18031, 656, 1149, 25868, 513, 25167, 14500, 689, 519, 2025, 11454, 2497, 267, 799, 7283, 896, 20850, 1852, 2394, 922, 19802, 676, 29240, 543, 12356, 267, 543, 1287, 519, 29240, 3576, 1852, 540, 519, 13022, 12818, 540, 22176, 653, 334, 269, 3973, 519, 8621, 323, 534, 1749, 12199, 621, 543, 17468, 621, 543, 3576, 1416, 540, 922, 5656, 267, 1287, 519, 631, 2273, 553, 1749, 12199, 621, 267, 1287, 519, 5842, 336, 584, 1920, 543, 3751, 7101, 9774, 10822, 570, 778, 267, 1287, 519, 15718, 344, 889, 1749, 543, 519, 7805, 4622, 2968, 13850, 21532, 10822, 6428, 1695, 620, 5937, 514, 269, 634, 15718, 344, 889, 573, 3576, 1416, 540, 519, 13022, 12818, 540, 22176, 653, 334, 269, 1924, 646, 3710, 454, 2304, 1271, 4062, 269, 1703, 568, 513, 3774, 267, 513, 9923, 4302, 267, 543, 1082, 5493, 2167, 269, 1358, 25167, 873, 543, 25653, 513, 4779, 520, 1472, 873, 563, 763, 1686, 540, 519, 22176, 653, 334, 13022, 12818, 2982, 602, 519, 4583, 27245, 14610, 670, 592, 16331, 22983, 519, 13022, 12818, 540, 22176, 653, 334, 543, 3361, 4049, 3441, 547, 851, 540, 519, 2679, 267, 543, 519, 13022, 12818, 7283, 896, 519, 1852, 540, 519, 15216, 11169, 2394, 519, 6259, 9099, 20679, 7307, 547, 14710, 621, 538, 519, 11135, 540, 589, 514, 808, 531, 583, 563, 763, 6259, 17710, 17468, 519, 13022, 12818, 540, 22176, 653, 334, 1282, 741, 12081, 267, 28472, 519, 3441, 3361, 676, 7766, 986, 1749, 547, 519, 13022, 12818, 781, 2934, 563, 288, 548, 653, 334, 13022, 12818, 729, 22983, 1586, 676, 570, 15330, 331, 2033, 267, 945, 10032, 519, 2749, 540, 22176, 653, 334, 269, 634, 14500, 7283, 602, 1259, 2394, 519, 631, 600, 1663, 802, 5391, 23306, 543, 17468, 621, 267, 1287, 519, 631, 600, 1663, 802, 13026, 621, 269, 634, 16368, 521, 738, 753, 16309, 538, 15194, 519, 14500, 2394, 476, 7277, 271, 267, 543, 538, 519, 1647, 540, 519, 14206, 2540, 267, 519, 26219, 10615, 622, 4937, 540, 4165, 1172, 885, 5645, 856, 11808, 960, 585, 519, 14500, 543, 1500, 621, 2139, 547, 8436, 543, 14666, 563, 22146, 5656, 540, 519, 15795, 2540, 267, 538, 1840, 547, 10120, 6821, 543, 19235, 267, 9923, 13196, 543, 14834, 6652, 1695, 338, 1644, 547, 519, 15718, 344, 889, 573, 543, 631, 600, 1663, 330, 5712, 267, 543, 9923, 13196, 543, 5493, 2167, 3710, 2663, 538, 519, 16368, 1974, 454, 763, 1686, 540, 519, 13022, 12818, 540, 22176, 653, 334, 543, 519, 6189, 540, 519, 13022, 12818, 2992, 519, 1646, 540, 519, 1148, 540, 4108, 6189, 998, 519, 1259, 621, 729, 3710, 267, 519, 5546, 540, 922, 4009, 267, 14328, 543, 15279, 21192, 20610, 267, 519, 18700, 13675, 267, 543, 519, 1804, 9587, 538, 519, 3774, 602, 1106, 519, 22122, 540, 519, 3774, 267, 538, 1840, 547, 519, 6149, 18969, 538, 519, 1804, 3774, 267, 4946, 1082, 16788, 547, 10131, 606, 15561, 1656, 6186, 1819, 4401, 9885, 543, 12166, 18448, 832, 602, 13822, 513, 16560, 3693, 540, 12716, 1871, 538, 519, 1686, 540, 519, 13022, 12818, 540, 22176, 653, 334, 543, 6406, 3889, 971, 607, 519, 10424, 19289, 267, 17599, 4055, 543, 7450, 1811, 269, 769, 1840, 547, 1210, 606, 1930, 9018, 23725, 528, 865, 602, 519, 9718, 619, 1223, 5873, 9514, 338, 689, 519, 31487, 945, 7307, 547, 2736, 998, 519, 1101, 1899, 540, 20237, 269, 634, 8115, 1281, 711, 1291, 2047, 547, 519, 1292, 13675, 267, 855, 23638, 13902, 547, 519, 13675, 267, 543, 519, 5011, 540, 519, 7944, 616, 1079, 6821, 9280, 609, 18969, 543, 21985, 602, 1450, 519, 17594, 540, 519, 10546, 543, 2061, 1864, 689, 1210, 519, 2025, 1907, 547, 2736, 519, 7450, 269, 29240, 10756, 763, 1686, 540, 519, 4070, 540, 519, 13022, 12818, 540, 22176, 653, 334, 18738, 519, 3632, 12818, 972, 616, 1079, 9923, 13196, 267, 519, 9510, 540, 799, 568, 519, 594, 3630, 29538, 620, 11860, 15595, 559, 17018, 4302, 267, 799, 729, 3710, 676, 715, 584, 620, 5937, 514, 2098, 30231, 269, 1306, 585, 519, 4279, 17018, 4302, 267, 621, 729, 3710, 676, 620, 19053, 1695, 597, 13850, 21532, 10822, 6428, 1695, 620, 5937, 514, 620, 5025, 344, 344, 889, 328, 563, 763, 14500, 849, 3568, 513, 4009, 1295, 15756, 609, 513, 4463, 540, 630, 736, 264, 7397, 538, 519, 7187, 851, 540, 519, 14500, 269, 1677, 519, 7532, 540, 519, 9835, 17018, 4302, 6013, 519, 594, 3630, 29538, 623, 26474, 3046, 13715, 267, 799, 729, 3710, 540, 10007, 13939, 689, 519, 3723, 540, 519, 14629, 269, 3509, 6698, 941, 5116, 267, 930, 540, 799, 21843, 741, 1533, 543, 1866, 602, 723, 9161, 543, 20748, 25664, 725, 269, 6904, 7389, 1394, 547, 519, 1686, 540, 519, 2749, 540, 22176, 653, 334, 13022, 12818, 454, 763, 3504, 3632, 12818, 9356, 519, 1686, 540, 519, 13022, 12818, 540, 22176, 653, 334, 538, 519, 6259, 4108, 1379, 607, 1134, 607, 922, 4598, 547, 13567, 676, 3504, 12977, 269, 634, 3632, 12818, 3568, 519, 3788, 540, 9923, 13196, 267, 5493, 2167, 267, 543, 8602, 5656, 269, 898, 568, 29810, 602, 519, 3774, 539, 2749, 602, 21256, 1472, 519, 3632, 12818, 12217, 2963, 540, 2038, 13983, 1723, 7304, 2674, 8265, 4058, 269, 898, 849, 3568, 3788, 540, 4168, 5656, 538, 1840, 547, 10120, 6821, 543, 19235, 267, 9923, 13196, 267, 543, 3506, 1644, 547, 519, 15718, 344, 889, 573, 543, 631, 600, 1663, 330, 21971, 267, 9923, 13196, 267, 543, 5493, 2167, 602, 941, 3710, 2663, 538, 519, 16368, 1974, 563, 306, 13270, 5463, 2610, 7577, 6941, 602, 519, 22176, 653, 334, 13022, 12818, 568, 835, 540, 519, 1034, 4190, 267, 3860, 543, 4102, 28151, 267, 543, 602, 519, 1686, 540, 519, 13022, 12818, 540, 22176, 653, 334, 568, 513, 1686, 2407, 540, 2621, 269, 898, 729, 513, 4358, 1448, 543, 513, 3490, 585, 1082, 17710, 267, 15438, 543, 3401, 267, 543, 14754, 519, 1034, 1271, 2621, 538, 519, 5101, 689, 519, 5736, 540, 519, 589, 9347, 753, 998, 1082, 12977, 547, 519, 9099, 5736, 563, 763, 590, 13270, 5463, 2610, 2754, 1443, 2478, 1169, 11653, 950, 7598, 519, 9703, 23732, 547, 1246, 513, 1505, 538, 519, 7041, 1184, 585, 519, 1788, 543, 3947, 1010, 5876, 602, 646, 1281, 547, 3914, 519, 2164, 454, 306, 13270, 5463, 2610, 568, 3843, 547, 1246, 519, 3105, 4507, 543, 3606, 2175, 1305, 676, 519, 6075, 543, 4019, 873, 538, 782, 5933, 540, 9703, 23732, 538, 1931, 547, 14183, 1864, 543, 3489, 1010, 6015, 543, 2226, 922, 4502, 543, 4222, 538, 519, 4074, 2344, 609, 922, 1434, 10639, 538, 9703, 23732, 563, 763, 590, 13270, 5463, 2610, 2754, 568, 835, 540, 519, 1655, 13747, 3549, 267, 865, 602, 950, 596, 4309, 513, 1808, 1788, 267, 596, 1246, 621, 909, 267, 4358, 689, 3384, 519, 1544, 538, 2474, 540, 1507, 3877, 267, 782, 519, 1259, 547, 4259, 519, 3803, 26088, 267, 865, 646, 4956, 547, 581, 13747, 998, 519, 13747, 590, 13270, 5463, 2610, 2533, 602, 649, 2709, 596, 267, 865, 649, 2322, 938, 1378, 1665, 538, 1022, 2361, 29760, 593, 2241, 3877, 547, 3035, 1390, 2164, 267, 971, 607, 3206, 827, 519, 10103, 1063, 519, 4478, 1604, 543, 519, 16538, 1374, 269, 1677, 3346, 6075, 3028, 267, 4945, 1934, 454, 2171, 1131, 899, 547, 1448, 856, 602, 590, 13270, 5463, 2610, 585, 9703, 1374, 543, 23732, 538, 11894, 1281, 711, 946, 3787, 23915, 610, 3059, 19728, 538, 922, 1870, 4308, 902, 267, 855, 2864, 10997, 922, 12375, 998, 1957, 19728, 610, 4871, 19132, 269, 0, 1103, 3235, 27036, 20292, 946, 267, 713, 4016, 547, 2576, 945, 12851, 547, 519, 4936, 7826, 5783, 267, 2808, 519, 4102, 540, 519, 4168, 3392, 338, 563, 1103, 1875, 268, 1815, 27036, 20292, 946, 267, 621, 24283, 922, 2296, 2495, 2047, 689, 922, 3597, 267, 543, 568, 4867, 1031, 547, 1611, 519, 1739, 912, 268, 1519, 513, 2647, 3099, 540, 1919, 267, 610, 782, 15041, 3630, 1424, 454, 268, 8471, 610, 540, 2489, 1719, 454, 268, 2348, 3376, 4690, 267, 610, 2647, 1623, 12949, 625, 454, 268, 8537, 267, 18136, 454, 11917, 16227, 267, 713, 11090, 4016, 547, 519, 1101, 4214, 269, 634, 15864, 23597, 547, 2697, 616, 519, 562, 12584, 2094, 789, 5957, 3109, 6208, 269, 623, 1845, 1206, 666, 2901, 5957, 519, 22101, 1442, 610, 513, 1305, 540, 3775, 525, 585, 741, 28005, 976, 269, 634, 1655, 32165, 540, 513, 7826, 17308, 568, 513, 16961, 32267, 267, 2094, 1175, 9849, 513, 588, 1961, 936, 741, 3775, 525, 3884, 1405, 2614, 540, 606, 13525, 540, 1018, 741, 4978, 616, 269, 0, 29638, 7130, 814, 1044, 1459, 538, 3162, 9705, 585, 1296, 543, 621, 568, 711, 2469, 2476, 20471, 4166 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 28335, 538, 5045, 21562, 24821, 2421, 1701, 834, 4517, 549, 3122, 821, 1107, 713, 568, 513, 9449, 543, 32104, 1336, 5631, 538, 519, 30124, 543, 29427, 15374, 267, 543, 568, 849, 538, 519, 29427, 15374, 267, 28335, 538, 575, 872, 576, 26849, 269, 901, 9449, 568, 5156, 547, 581, 3743, 585, 519, 606, 20326, 1198, 676, 2810, 19697, 538, 519, 1560, 269, 901, 814, 1044, 3254, 547, 581, 606, 31877, 1505, 540, 4152, 585, 519, 4527, 540, 606, 20326, 28335, 1317, 519, 1449, 568, 711, 6213, 2614, 547, 2697, 713, 9449, 1701, 834, 291, 4047, 288, 1107, 713, 568, 1336, 5097, 538, 519, 14401, 543, 6797, 543, 5540, 519, 2179, 540, 19697, 269, 898, 814, 1044, 1336, 547, 581, 811, 6213, 982, 667, 4047, 288, 547, 1449, 585, 519, 4527, 540, 606, 20326, 28335, 267, 23882, 4214, 28335, 538, 269, 4340, 547, 513, 1353, 602, 729, 3370, 538, 519, 3703, 6481, 4750, 538, 476, 1220, 271, 267, 519, 946, 540, 667, 4047, 288, 1058, 581, 27209, 607, 513, 12990, 585, 667, 4047, 288, 607, 667, 4047, 288, 814, 513, 3476, 3368, 3734, 543, 568, 811, 13671, 538, 519, 1560, 267, 543, 3976, 568, 811, 2693, 547, 2014, 1713, 543, 1279, 3856, 2360, 269, 4935, 267, 621, 1058, 581, 1031, 950, 667, 4047, 288, 568, 28998, 267, 28335, 538, 5026, 4930, 1701, 834, 4517, 15543, 2989, 7748, 1107, 713, 9449, 568, 1336, 1152, 538, 519, 30124, 543, 29427, 15374, 543, 4249, 513, 1909, 538, 15725, 1973, 2604, 267, 4887, 2527, 543, 1599, 538, 519, 1560, 269, 898, 568, 2219, 547, 581, 519, 1034, 1271, 543, 14984, 606, 20326, 9449, 3812, 676, 519, 1560, 267, 28335, 538, 9360, 1592, 269, 634, 1249, 602, 621, 568, 9658, 1540, 538, 519, 1482, 1106, 607, 543, 15543, 2989, 7748, 1107, 606, 20326, 28335, 1107, 2306, 621, 606, 5393, 3730, 543, 6325, 3075, 538, 519, 946, 540, 519, 606, 20326, 32104, 1062, 267, 28335, 538, 23882, 4214, 4799, 6701, 28335, 1500, 909, 540, 454, 4322, 3656, 28335, 616, 1500, 909, 540, 2067, 5820, 543, 723, 930, 5863, 2164, 950, 789, 616, 3144, 14350, 269, 2755, 519, 5354, 540, 519, 2164, 786, 581, 1369, 707, 3339, 2039, 267, 621, 666, 581, 2182, 547, 1852, 609, 865, 1082, 5820, 269, 3509, 540, 519, 2472, 593, 519, 2344, 616, 2966, 547, 2285, 596, 513, 1507, 6492, 540, 1018, 596, 616, 827, 547, 1995, 998, 513, 4837, 610, 1079, 267, 1247, 519, 2407, 1995, 2501, 998, 513, 3677, 11480, 610, 1079, 267, 28335, 538, 605, 1560, 20761, 269, 1703, 616, 849, 16909, 5061, 547, 948, 596, 1852, 519, 2157, 538, 707, 1560, 267, 1175, 607, 1082, 540, 519, 28335, 2139, 547, 707, 2199, 14278, 626, 269, 1280, 707, 13418, 267, 1934, 616, 4557, 3656, 28335, 585, 2367, 267, 28335, 538, 1864, 531, 11535, 2472, 269, 1452, 616, 519, 3283, 649, 917, 540, 267, 543, 1866, 723, 2907, 17774, 3166, 593, 519, 4950, 269, 2353, 4557, 540, 891, 2472, 616, 2139, 689, 707, 2199, 26849, 267, 543, 609, 513, 2370, 1382, 596, 666, 2503, 547, 4309, 811, 982, 2614, 547, 1118, 596, 1745, 15813, 585, 1659, 327, 850, 269, 476, 272, 267, 28335, 538, 555, 16233, 943, 4157, 564, 269, 570, 1014, 30794, 710, 570, 1014, 30794, 710, 1568, 676, 2810, 519, 2157, 540, 22006, 538, 519, 2634, 267, 2870, 513, 1164, 540, 22006, 543, 513, 4743, 552, 25045, 18319, 540, 22006, 269, 1703, 616, 1082, 824, 11922, 543, 8324, 799, 616, 849, 2500, 538, 2810, 22006, 2157, 971, 607, 10910, 617, 2723, 320, 14986, 320, 543, 2578, 7578, 1306, 328, 1738, 320, 269, 1411, 666, 1376, 609, 513, 1906, 29893, 547, 1294, 799, 835, 3947, 596, 519, 1655, 2164, 267, 28335, 538, 1931, 540, 4222, 269, 476, 273, 269, 9210, 1117, 9068, 9210, 1117, 9068, 568, 513, 12045, 540, 519, 2030, 3134, 1117, 571, 1107, 513, 6923, 9648, 30175, 1355, 1336, 538, 9210, 1117, 571, 9045, 10216, 543, 9210, 1117, 571, 13100, 704, 7534, 630, 1492, 3597, 540, 519, 3134, 1117, 571, 2030, 1070, 28335, 538, 8013, 1560, 20761, 269, 9210, 1117, 9068, 630, 295, 1410, 539, 9068, 264, 568, 513, 8102, 656, 543, 22515, 556, 340, 696, 820, 8102, 656, 602, 22262, 519, 8401, 1062, 543, 519, 2295, 267, 4758, 2799, 1648, 543, 10332, 1145, 267, 28335, 538, 1931, 540, 4222, 269, 9210, 1117, 9068, 543, 824, 3029, 540, 713, 2067, 10786, 616, 849, 2500, 607, 4550, 7290, 26952, 543, 607, 606, 606, 648, 8157, 269, 634, 1840, 540, 3134, 1117, 9068, 547, 713, 16909, 7110, 666, 723, 1082, 2640, 585, 707, 7099, 267, 609, 930, 3755, 8989, 606, 2333, 538, 1648, 543, 5391, 573, 13920, 269, 476, 274, 267, 616, 28335, 1500, 909, 540, 269, 594, 617, 710, 594, 617, 710, 568, 519, 1292, 5057, 540, 11178, 9449, 269, 634, 3114, 2497, 540, 22752, 5526, 24240, 2394, 513, 1978, 1377, 540, 594, 617, 710, 568, 10057, 269, 634, 3169, 2179, 594, 617, 710, 2877, 547, 2333, 519, 2157, 540, 11178, 9449, 568, 476, 272, 267, 1822, 26818, 326, 267, 28335, 538, 605, 1560, 20761, 269, 634, 1377, 540, 594, 617, 710, 2877, 568, 2356, 711, 6603, 2394, 1134, 883, 15296, 269, 589, 7110, 540, 594, 617, 710, 1058, 581, 3144, 609, 6980, 267, 693, 1978, 2053, 540, 519, 1554, 543, 593, 1978, 2395, 540, 519, 3018, 1519, 21175, 543, 8285, 267, 607, 891, 616, 2053, 540, 2799, 1981, 585, 5409, 628, 21633, 630, 27463, 1078, 11178, 9449, 21131, 1040, 476, 275, 563, 12640, 344, 3940, 7727, 519, 1560, 609, 513, 1164, 2179, 540, 3940, 543, 11254, 7408, 602, 948, 547, 7914, 3613, 691, 519, 606, 20326, 1184, 282, 607, 1134, 607, 519, 1898, 8324, 543, 6886, 269, 476, 274, 269, 5453, 344, 3940, 589, 2656, 16145, 693, 519, 6003, 585, 782, 540, 519, 765, 344, 2472, 949, 1118, 596, 1589, 540, 519, 5835, 5277, 540, 513, 3728, 1426, 13962, 267, 855, 607, 513, 1587, 540, 2470, 267, 621, 9090, 814, 7899, 540, 1761, 538, 7110, 1106, 269, 5453, 344, 3940, 568, 5393, 1271, 547, 513, 2635, 267, 16757, 26430, 269, 898, 781, 3638, 538, 513, 3099, 540, 11254, 7408, 543, 519, 11254, 7408, 616, 2838, 585, 4887, 2208, 269, 4595, 891, 11254, 7408, 616, 2877, 585, 2870, 513, 2635, 1560, 267, 789, 616, 849, 1434, 2959, 540, 7513, 607, 1134, 269, 5453, 344, 5946, 616, 849, 513, 1434, 2707, 540, 645, 6171, 855, 811, 11932, 267, 789, 616, 606, 5140, 2707, 540, 700, 2389, 7973, 2684, 534, 799, 568, 1898, 585, 1434, 7099, 267, 2566, 8323, 267, 1648, 543, 2790, 26176, 2088, 269, 1548, 568, 519, 1034, 1271, 3940, 286, 634, 1034, 1271, 3940, 568, 2356, 7396, 538, 707, 7110, 11480, 607, 519, 765, 344, 3940, 538, 621, 269, 898, 4667, 899, 513, 2864, 9642, 3903, 585, 971, 513, 3940, 11656, 1587, 855, 621, 568, 513, 9985, 5386, 3903, 269, 898, 2501, 538, 513, 627, 25891, 476, 1015, 32122, 543, 621, 781, 1655, 547, 723, 513, 1804, 2179, 269, 1403, 596, 1810, 1405, 1616, 547, 936, 4777, 621, 267, 1287, 979, 609, 513, 476, 272, 270, 273, 7674, 269, 634, 824, 1883, 3334, 540, 513, 4887, 32063, 616, 281, 3794, 583, 8533, 267, 513, 3114, 602, 6411, 607, 513, 2178, 4761, 1062, 28166, 267, 4543, 2061, 4887, 15059, 543, 7063, 269, 774, 516, 517, 710, 267, 799, 2337, 547, 12954, 519, 5305, 540, 3940, 543, 7280, 883, 519, 1973, 269, 630, 1607, 2337, 547, 2061, 4887, 543, 3170, 2530, 1040, 1488, 6265, 710, 267, 513, 8102, 656, 602, 2337, 547, 948, 547, 2333, 3940, 10282, 269, 31946, 322, 710, 267, 2337, 547, 5818, 519, 4761, 1062, 676, 2810, 1973, 2095, 547, 519, 2281, 269, 5453, 344, 3940, 849, 2488, 513, 2347, 3940, 7110, 602, 596, 666, 1491, 2059, 609, 9360, 607, 1134, 607, 538, 513, 5347, 773, 610, 607, 513, 7594, 10682, 21199, 269, 898, 781, 513, 1434, 3903, 585, 519, 19444, 543, 621, 568, 9090, 513, 1434, 1587, 547, 3442, 269, 5453, 344, 9360, 5288, 269, 3940, 4073, 323, 8991, 30055, 5453, 344, 3940, 568, 606, 5140, 3903, 585, 14987, 543, 519, 1152, 1434, 3364, 827, 621, 568, 540, 519, 2298, 269, 898, 568, 513, 3940, 602, 814, 1044, 9268, 609, 2027, 3937, 602, 2337, 547, 2327, 513, 3501, 3575, 540, 5567, 269, 898, 849, 814, 513, 1164, 3940, 1543, 267, 4180, 596, 1205, 519, 2407, 2640, 540, 3940, 269, 1306, 585, 9360, 267, 765, 344, 568, 1732, 585, 9845, 543, 1346, 945, 616, 2866, 543, 2713, 607, 3339, 1004, 269, 901, 2306, 765, 344, 3940, 519, 1034, 4122, 5227, 7110, 585, 713, 3483, 269, 1717, 13565, 9137, 281, 0, 5978, 2165, 569, 1888, 568, 454, 1607, 2165, 649, 786, 581, 3695, 2326, 1472, 721, 543, 741, 3601, 543, 10647, 3621, 6901, 267, 1565, 875, 547, 1832, 938, 13753, 4023, 269, 1284, 786, 849, 581, 3695, 3047, 781, 1747, 538, 938, 9891, 3590, 267, 1565, 827, 519, 824, 10785, 543, 519, 9855, 269, 1284, 786, 581, 2542, 543, 4466, 856, 827, 2916, 1689, 543, 922, 2360, 593, 938, 2831, 543, 1604, 543, 3206, 540, 2081, 602, 649, 666, 948, 563, 2171, 786, 849, 581, 4259, 909, 513, 4365, 6728, 543, 10916, 543, 30228, 519, 4365, 1239, 1282, 513, 3923, 563, 1103, 7924, 4245, 649, 786, 581, 23622, 593, 938, 2542, 1983, 267, 2348, 2834, 3367, 267, 3503, 267, 5549, 1895, 2542, 7886, 269, 1284, 786, 581, 1603, 9954, 971, 607, 2842, 737, 3317, 902, 543, 11600, 9954, 267, 2984, 827, 519, 1604, 267, 12353, 1019, 2456, 267, 13889, 5022, 543, 5528, 269, 1284, 786, 849, 581, 1565, 827, 875, 547, 946, 4633, 7436, 538, 938, 1603, 563, 1103, 6746, 2329, 4245, 649, 786, 581, 23622, 593, 1297, 960, 910, 4946, 543, 18946, 267, 1747, 1871, 267, 30945, 543, 10300, 1324, 267, 9236, 543, 19280, 2338, 267, 946, 540, 2724, 543, 1689, 607, 1134, 607, 12353, 1840, 4882, 889, 339, 3555, 3432, 4255, 269, 769, 1840, 547, 713, 267, 649, 786, 581, 1565, 827, 476, 273, 291, 5546, 267, 476, 274, 291, 5546, 267, 10213, 519, 942, 267, 7893, 12035, 543, 13080, 607, 1134, 607, 1239, 7829, 543, 2870, 512, 958, 12125, 267, 3046, 12125, 543, 1256, 1899, 11708, 563, 2171, 786, 849, 581, 2348, 12353, 30413, 4245, 267, 12353, 9205, 1565, 2238, 630, 310, 11481, 11205, 5886, 17058, 1070, 2834, 18027, 7886, 630, 326, 2096, 333, 10415, 267, 10649, 267, 7544, 267, 3440, 1983, 1070, 607, 1134, 607, 1316, 2358, 938, 21730, 1893, 1983, 998, 1412, 306, 14309, 546, 20142, 559, 1470, 8339, 769, 3860, 6575, 7886, 649, 786, 581, 3695, 4365, 11247, 543, 7493, 1148, 267, 2519, 593, 20266, 27591, 563, 19350, 568, 513, 15942, 6011, 540, 930, 1806, 540, 938, 960, 713, 2165, 267, 1519, 20266, 27591, 11247, 267, 6978, 16493, 267, 7990, 11544, 14743, 267, 14589, 5706, 4365, 11247, 543, 930, 540, 938, 11600, 9954, 269, 1284, 4126, 596, 2972, 519, 15942, 6011, 269, 0, 288, 16943, 568, 513, 11285, 538, 3662, 3676, 269, 4340, 547, 7194, 267, 1034, 17022, 6009, 616, 538, 519, 2361, 540, 3662, 9393, 787, 269, 6271, 267, 3573, 1858, 540, 960, 568, 519, 2126, 540, 6469, 2831, 630, 10852, 569, 5243, 543, 7314, 1040, 769, 1840, 267, 930, 14830, 12579, 20647, 538, 3552, 2831, 267, 2324, 538, 14425, 563, 16449, 824, 1919, 267, 519, 16943, 267, 1927, 609, 519, 1612, 3139, 545, 267, 568, 7722, 538, 912, 1103, 4357, 18915, 19190, 267, 519, 11645, 540, 513, 16943, 616, 827, 519, 1482, 267, 855, 1034, 1419, 646, 9388, 609, 519, 1739, 11645, 912, 763, 3924, 540, 513, 16943, 568, 1360, 1114, 689, 519, 960, 540, 513, 4387, 269, 1323, 3662, 267, 7429, 513, 1268, 267, 3112, 2995, 1018, 9292, 1206, 1864, 269, 3962, 540, 873, 2115, 922, 1378, 1935, 267, 15754, 543, 2027, 20932, 269, 634, 16943, 1058, 581, 1134, 2613, 539, 538, 519, 6208, 540, 519, 3662, 267, 581, 2111, 547, 10646, 519, 7210, 689, 519, 2635, 267, 711, 1152, 676, 5007, 4191, 267, 855, 849, 676, 2623, 563, 1103, 1840, 267, 519, 18915, 3924, 11438, 6654, 4220, 281, 3662, 14699, 267, 519, 10171, 540, 20414, 3676, 610, 15495, 563, 309, 2678, 2435, 4915, 568, 606, 3504, 2872, 269, 28055, 338, 547, 1521, 2831, 723, 1044, 1500, 676, 812, 3592, 689, 519, 1360, 4090, 646, 3459, 547, 512, 877, 873, 269, 634, 3804, 729, 3351, 9107, 281, 865, 602, 519, 30428, 3662, 1131, 3136, 547, 581 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5439, 602, 666, 581, 6027, 563, 3383, 972, 568, 1869, 3747, 585, 11741, 267, 6325, 543, 2241, 2409, 585, 7893, 519, 6419, 3601, 540, 4396, 543, 5277, 5439, 563, 2080, 267, 8230, 10202, 590, 752, 2967, 267, 570, 25493, 327, 27323, 27411, 11445, 267, 3223, 25702, 17578, 4157, 3385, 543, 9164, 693, 28514, 4821, 2160, 723, 2919, 513, 3810, 6213, 1062, 585, 7893, 519, 6419, 3601, 540, 3172, 7497, 269, 634, 1062, 568, 15291, 2450, 5103, 519, 6220, 513, 590, 12702, 2839, 9300, 267, 543, 4396, 267, 5277, 267, 543, 8869, 5439, 666, 581, 6027, 676, 3274, 8380, 873, 538, 513, 3732, 2013, 1510, 1022, 5910, 13015, 630, 8993, 269, 272, 1916, 763, 3173, 6707, 1031, 519, 1007, 1062, 547, 2268, 519, 1360, 1507, 6419, 5365, 689, 1216, 1813, 547, 922, 5603, 8568, 2470, 269, 630, 8993, 269, 476, 273, 1040, 1306, 606, 3498, 540, 713, 1062, 267, 519, 7509, 1543, 540, 513, 1570, 729, 11117, 543, 789, 1336, 602, 519, 6419, 5365, 8515, 540, 519, 1570, 31030, 593, 519, 1543, 540, 1216, 538, 519, 1570, 269, 1452, 2164, 1397, 519, 1007, 1062, 666, 581, 1031, 607, 513, 1907, 585, 1164, 8417, 267, 562, 1180, 652, 10614, 543, 1875, 4186, 716, 6482, 540, 7509, 1543, 538, 2326, 269, 5047, 267, 519, 3173, 849, 9571, 513, 11005, 3157, 1282, 519, 6419, 3210, 540, 2326, 269, 901, 6482, 1935, 568, 3730, 547, 3313, 519, 1533, 540, 2326, 543, 3713, 519, 1367, 3601, 540, 2326, 538, 513, 6404, 3070, 269, 634, 1007, 1062, 568, 4397, 547, 581, 1031, 538, 4610, 267, 971, 607, 562, 1180, 652, 10614, 6268, 543, 24118, 2079, 563, 12530, 375, 22439, 281, 8230, 10202, 590, 752, 2967, 267, 10878, 2129, 10098, 21411, 600, 9369, 267, 24204, 25917, 20242, 534, 23042, 269, 15011, 323, 631, 1177, 31651, 15223, 926, 267, 570, 25493, 327, 27323, 27411, 11445, 267, 543, 3223, 25702, 17578, 4157, 3385, 454, 12530, 375, 7170, 540, 3312, 1957, 281, 7720, 626, 675, 1543, 6268, 1210, 4824, 1164, 6874, 322, 590, 12702, 2839, 2861, 15914, 1606, 2217, 11275, 10309, 563, 12530, 375, 4750, 267, 4320, 267, 3817, 543, 1032, 281, 20959, 3690, 13905, 593, 11930, 8111, 17238, 2032, 267, 476, 1839, 267, 476, 274, 267, 476, 8182, 6344, 276, 630, 1001, 276, 1916, 12530, 375, 7913, 8629, 5772, 8595, 630, 23077, 296, 2567, 476, 1015, 269, 8099, 280, 20081, 3008, 290, 269, 1001, 275, 269, 26951, 28178, 274, 454, 12530, 375, 4750, 3896, 281, 5291, 2517, 773, 324, 30161, 648, 269, 773, 2465, 3820, 23995, 2086, 23995, 2086, 12459, 4944, 286, 7568, 3784, 284, 7597, 273, 6924, 274, 275, 454, 12530, 375, 10500, 8270, 725, 281, 23958, 3427, 540, 7849, 3163, 543, 5303, 267, 28514, 4821, 2160, 563, 12530, 375, 4972, 3896, 281, 5291, 2517, 4178, 3052, 333, 560, 269, 758, 599, 4821, 268, 340, 28482, 12459, 335, 27651, 21223, 11258, 454, 8201, 476, 272, 31603, 11741, 543, 3810, 6213, 6419, 3959, 6268, 1062, 269, 634, 3732, 568, 6378, 593, 513, 2490, 3349, 543, 29352, 269, 634, 5365, 689, 513, 3732, 568, 9571, 676, 513, 7020, 16509, 32366, 1947, 4448, 547, 590, 12702, 2839, 563, 8201, 476, 273, 23618, 539, 6419, 5365, 689, 6986, 1216, 1210, 519, 2919, 6482, 1062, 269, 589, 3017, 538, 519, 3977, 6453, 540, 590, 12702, 2839, 729, 4767, 693, 1472, 476, 5611, 20444, 267, 799, 14687, 547, 519, 942, 2838, 676, 519, 3732, 547, 1780, 1657, 519, 7020, 16509, 269, 0, 5978, 1153, 3804, 568, 547, 1711, 513, 2318, 1565, 1604, 538, 799, 3025, 568, 9415, 547, 3914, 741, 2407, 1761, 282, 1373, 3743, 267, 4830, 267, 8321, 1049, 543, 6126, 563, 4263, 4826, 2274, 903, 267, 649, 616, 2141, 2324, 547, 2087, 1585, 3344, 540, 3450, 543, 1565, 269, 901, 1032, 267, 938, 1292, 6454, 14422, 616, 912, 347, 1001, 278, 270, 1240, 11759, 28080, 1115, 2008, 7659, 9351, 476, 272, 281, 1677, 2087, 519, 2298, 540, 3450, 267, 1565, 543, 4879, 454, 268, 10495, 1107, 1677, 1020, 267, 6338, 543, 7842, 513, 2898, 1153, 4152, 1062, 602, 786, 11753, 883, 519, 1153, 779, 1699, 4879, 12417, 563, 268, 13174, 1107, 1677, 2087, 519, 3450, 540, 6128, 2066, 519, 1153, 4180, 513, 4028, 6454, 538, 10453, 21711, 1983, 563, 268, 9752, 543, 1565, 1107, 3136, 547, 1020, 10495, 585, 4804, 2066, 519, 1153, 547, 2327, 602, 10453, 616, 14013, 13934, 543, 6462, 563, 268, 7335, 585, 12257, 1107, 6733, 693, 2081, 540, 2417, 3384, 543, 5009, 713, 2066, 519, 1153, 563, 268, 1677, 2327, 602, 10453, 616, 2016, 519, 4316, 547, 1020, 2542, 267, 1603, 267, 13004, 543, 2792, 1983, 538, 782, 2127, 540, 519, 6437, 563, 268, 1677, 2417, 1020, 15366, 6278, 7886, 547, 1020, 741, 6015, 538, 5885, 741, 1126, 693, 1753, 563, 268, 1677, 2015, 519, 6286, 540, 519, 962, 275, 8691, 7515, 1449, 547, 581, 5189, 538, 476, 1001, 280, 269, 1215, 616, 649, 4180, 602, 10453, 616, 4628, 5423, 585, 713, 888, 7659, 9351, 476, 273, 281, 1677, 2087, 20194, 4093, 676, 9870, 4441, 543, 5355, 3356, 454, 268, 1677, 2226, 519, 6871, 540, 10453, 8429, 519, 1032, 476, 272, 1912, 9582, 1449, 547, 2327, 602, 713, 568, 693, 2547, 538, 1899, 609, 2817, 563, 268, 1677, 2327, 602, 519, 1164, 4441, 693, 1883, 8609, 476, 272, 616, 9738, 585, 782, 2516, 563, 268, 1677, 6385, 17108, 3356, 543, 26556, 540, 782, 2516, 538, 6206, 8609, 476, 273, 547, 2327, 602, 519, 6871, 540, 10453, 8236, 519, 4397, 3044, 538, 2542, 267, 1603, 267, 13004, 543, 15870, 616, 538, 1899, 609, 1346, 25422, 563, 268, 1677, 2327, 602, 519, 6871, 540, 10453, 23630, 519, 4397, 4441, 538, 23794, 273, 4679, 689, 476, 1001, 278, 2509, 2817, 563, 268, 1677, 7522, 519, 3356, 543, 9740, 10616, 585, 27797, 10453, 563, 268, 1677, 2327, 602, 590, 21715, 10453, 3136, 547, 2743, 741, 2123, 2213, 9072, 543, 602, 3356, 10616, 1063, 590, 21715, 10453, 543, 1875, 4149, 21715, 10453, 7522, 563, 7659, 9351, 476, 274, 281, 1677, 1020, 519, 5718, 543, 2359, 540, 519, 1153, 454, 268, 1677, 2327, 602, 519, 1007, 4152, 1062, 568, 1031, 547, 8308, 3950, 519, 2143, 3356, 540, 10453, 543, 602, 3368, 3856, 569, 20194, 3356, 11401, 22759, 3585, 3180, 3610, 547, 2272, 585, 519, 3356, 540, 1367, 10453, 543, 2516, 540, 10453, 2429, 519, 1153, 563, 268, 1677, 2087, 543, 2333, 15366, 6278, 3255, 585, 3237, 998, 13004, 9819, 2409, 543, 23483, 2542, 7886, 585, 782, 1032, 2516, 563, 268, 1677, 2689, 519, 1153, 779, 6437, 547, 2327, 602, 621, 3788, 3376, 543, 7059, 267, 3850, 10453, 547, 10536, 1702, 543, 1020, 1641, 1808, 1983, 563, 268, 1677, 3136, 547, 2689, 519, 7145, 540, 519, 12044, 1560, 267, 3384, 513, 1007, 1935, 547, 7580, 4058, 563, 7659, 9351, 476, 275, 281, 1677, 2087, 519, 2123, 1646, 267, 7180, 543, 10304, 540, 10453, 454, 268, 1677, 3136, 547, 1020, 10453, 685, 1620, 540, 3703, 18880, 267, 3226, 998, 1055, 3135, 11564, 267, 8436, 547, 1153, 267, 519, 1153, 14643, 543, 6402, 609, 824, 3506, 563, 268, 1677, 2417, 1020, 10453, 685, 6015, 267, 6043, 543, 2318, 8456, 2509, 741, 1565, 998, 519, 1646, 540, 513, 2208, 14820, 563, 268, 29934, 766, 1107, 547, 3136, 547, 5702, 6895, 20343, 540, 782, 2516, 543, 547, 7522, 519, 10616, 538, 20343, 1063, 20194, 14167, 543, 1875, 1790, 1575, 559, 14167, 10453, 563, 268, 11846, 20031, 1756, 1107, 1677, 2417, 2333, 519, 1297, 540, 10453, 10283, 538, 1153, 15731, 267, 12499, 17469, 543, 954, 17469, 19194, 269, 4518, 2509, 1140, 8724, 519, 18027, 270, 30874, 4460, 563, 268, 1677, 2327, 602, 10453, 1020, 513, 1434, 1620, 540, 875, 547, 1832, 2933, 2635, 269, 1358, 786, 723, 513, 1434, 1620, 540, 2635, 3347, 543, 666, 18390, 2491, 875, 547, 3251, 2922, 2228, 543, 519, 12178, 540, 20025, 946, 540, 5985, 2029, 543, 1514, 13033, 4609, 563, 7659, 9351, 476, 276, 281, 7216, 13012, 454, 268, 1677, 17108, 3356, 540, 782, 2516, 547, 2327, 602, 519, 6871, 540, 10453, 1818, 513, 1434, 1377, 540, 1646, 568, 538, 1899, 609, 3084, 5515, 563, 268, 1677, 17108, 519, 2168, 1646, 540, 1453, 538, 782, 2516, 547, 2327, 602, 621, 568, 1899, 609, 2199, 543, 3084, 2157, 563, 268, 1677, 2327, 602, 782, 10453, 616, 2542, 585, 12257, 1282, 741, 1234, 4003, 1032, 543, 723, 606, 28048, 1719, 538, 2542, 543, 519, 7772, 540, 2835, 563, 268, 1677, 3986, 519, 9205, 1565, 1858, 547, 2327, 602, 621, 2488, 11865, 585, 7924, 543, 13004, 1646, 563, 268, 1677, 1020, 6251, 6402, 609, 623, 6955, 1513, 2776, 4149, 1041, 267, 3384, 1455, 4879, 5773, 543, 20208, 269, 0, 24171, 17054, 2006, 630, 1220, 278, 264, 2306, 513, 8903, 2013, 585, 519, 24609, 532, 540, 519, 1158, 538, 1010, 1433, 282, 2705, 267, 2016, 519, 1699, 2157, 540, 14479, 538, 519, 1158, 267, 594, 3409, 602, 621, 568, 1869, 5180, 543, 4742, 678, 10133, 676, 519, 1554, 269, 1879, 835, 9356, 593, 741, 17066, 543, 3347, 267, 891, 616, 1419, 11617, 10268, 607, 954, 24286, 10580, 543, 21384, 269, 898, 568, 1141, 543, 875, 891, 10580, 16937, 543, 2458, 728, 568, 1141, 519, 2755, 17054, 2006, 2488, 513, 4396, 4661, 585, 1946, 713, 1058, 28196, 710, 519, 1158, 607, 6366, 267, 1018, 814, 5949, 538, 606, 17594, 540, 13664, 267, 14227, 543, 7292, 7496, 269, 4653, 891, 10580, 3142, 12356, 543, 10271, 267, 4892, 543, 17417, 267, 543, 3638, 543, 4057, 1927, 998, 519, 946, 540, 3059, 2645, 269, 13088, 799, 616, 1631, 2139, 547, 5176, 3025, 538, 519, 1158, 269, 1403, 711, 1318, 1631, 267, 1287, 538, 519, 1360, 2282, 2104, 563, 32178, 8419, 630, 1220, 276, 264, 11130, 602, 519, 1158, 568, 711, 6366, 855, 6257, 621, 607, 838, 1731, 344, 269, 1452, 26389, 616, 2813, 998, 519, 7828, 540, 2804, 13884, 543, 2551, 5860, 269, 32501, 3340, 602, 2477, 543, 4525, 616, 4448, 609, 835, 1776, 547, 8853, 543, 2611, 8013, 269, 8419, 779, 838, 1731, 344, 7664, 4422, 513, 3787, 1524, 513, 15529, 8559, 607, 519, 26389, 540, 519, 1158, 6175, 1759, 593, 519, 7828, 998, 799, 646, 32625, 269, 3571, 3803, 4786, 609, 519, 2547, 26389, 602, 5581, 3621, 8906, 2488, 513, 1360, 3908, 2070, 543, 23304, 1841, 519, 16126, 540, 7432, 3621, 6602, 883, 2527, 2344, 2472, 543, 2533, 269, 1280, 713, 547, 4755, 267, 519, 8906, 1590, 7048, 593, 519, 14051, 547, 1831, 7550, 676, 13416, 6800, 563, 3383, 267, 519, 1158, 568, 5180, 1317, 540, 519, 5318, 4296, 602, 723, 1044, 2813, 998, 519, 4557, 4229, 602, 1500, 519, 1158, 6366, 585, 17054, 2006, 267, 971, 607, 5989, 267, 14051, 267, 543, 1004, 547, 1683, 543, 2671, 519, 1543, 269, 589, 1390, 1383, 540, 713, 9623, 4687, 2501, 689, 519, 1082, 570, 3633, 343, 2621, 4371, 2429, 519, 1158, 543, 519, 5318, 5399, 540, 891, 12909, 3838, 2228, 269, 2311, 519, 6679, 540, 570, 3633, 1001, 277, 267, 8330, 549, 570, 11839, 267, 18279, 540, 7720, 976, 32718, 630, 4753, 302, 264, 540, 2473, 267, 22843, 779, 24262, 14653, 12051, 585, 2679, 2093, 267, 4330, 875, 1010, 2754, 568, 2324, 547, 1683, 31923, 538, 519, 1034, 6552, 4025, 540, 519, 1158, 1765, 6748, 31148, 269, 2473, 2636, 585, 2706, 21184, 525, 547, 5326, 540, 519, 11995, 7399, 540, 2257, 543, 2029, 269, 2473, 849, 2636, 585, 519, 11812, 540, 9073, 1317, 1510, 519, 9073, 267, 519, 9909, 786, 711, 3136, 547, 8853, 563, 2005, 568, 3020, 267, 649, 616, 593, 519, 2357, 613, 540, 2870, 519, 3684, 2706, 4987, 607, 4330, 676, 19162, 645, 739, 668, 630, 1001, 276, 1040, 22126, 779, 23846, 568, 4867, 2324, 7258, 13500, 547, 13209, 543, 1683, 2126, 3681, 585, 2860, 2550, 630, 1001, 274, 1040, 1284, 1869, 991, 519, 1034, 1271, 3196, 602, 2306, 938, 1158, 5180, 267, 543, 602, 568, 1004, 269, 4658, 991, 547, 1711, 519, 5989, 267, 1711, 519, 1543, 267, 2671, 519, 1543, 267, 1921, 609, 1866, 267, 5326, 543, 3111, 269, 2334, 568, 1946, 519, 1158, 568, 5180, 547, 803, 269, 0, 292, 644, 7702, 21969, 1399, 779, 2110, 1650, 13886, 968, 763, 1937, 333, 11202, 892, 568, 827, 606, 2025, 4807, 3957, 27925, 12722, 4171, 2951, 547, 519, 2749, 593, 6505, 13792, 1554, 540, 5412, 729, 5143, 538, 519, 2239, 269, 634, 4807, 6192, 1200, 3460, 585, 519, 3483, 540, 3478, 1200, 1178, 2738, 517, 519, 4915, 646, 7498, 1993, 606, 8723, 1554, 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 ]
[ 851, 540, 2113, 2280, 3248, 268, 476, 272, 851, 540, 513, 7848, 540, 22053, 267, 22850, 3150, 539, 267, 28113, 563, 1103, 519, 4832, 267, 16719, 616, 3773, 547, 519, 10286, 912, 268, 22648, 543, 14043, 10174, 3762, 3248, 2791, 786, 581, 5461, 547, 917, 875, 1454, 593, 3328, 2661, 543, 9205, 25190, 976, 2661, 563, 291, 2905, 3049, 2557, 585, 476, 272, 1367, 267, 4470, 593, 2085, 4162, 912, 268, 1762, 2208, 910, 476, 1789, 1700, 2412, 575, 3248, 268, 2937, 2043, 1354, 12387, 1154, 910, 476, 2004, 575, 3248, 268, 1282, 519, 20282, 4005, 543, 1282, 9065, 760, 3789, 910, 476, 2568, 575, 3248, 268, 1282, 519, 6735, 910, 476, 2568, 1700, 3583, 575, 1341, 7573, 610, 4006, 547, 11177, 19346, 3666, 563, 2026, 9354, 21187, 538, 519, 25190, 517, 267, 596, 666, 31693, 519, 30644, 13063, 23353, 609, 22752, 543, 824, 3730, 6886, 269, 769, 1840, 267, 5779, 543, 5642, 7594, 568, 21237, 3773, 547, 1426, 269, 22504, 9742, 540, 25190, 976, 568, 835, 540, 519, 9510, 3515, 267, 519, 1034, 1455, 1472, 519, 1158, 269, 1452, 5017, 616, 10694, 547, 25190, 517, 9742, 619, 585, 741, 1164, 8184, 2773, 269, 0, 4537, 675, 526, 571, 13850, 574, 790, 267, 12854, 454, 2467, 568, 513, 2245, 540, 16208, 13221, 609, 519, 14485, 540, 2413, 24866, 269, 769, 713, 1184, 267, 13221, 814, 1044, 4843, 865, 3309, 569, 602, 3006, 741, 17568, 616, 14845, 543, 5605, 20884, 268, 552, 3052, 269, 2048, 25677, 4998, 1143, 8730, 2048, 7752, 1143, 8730, 11313, 655, 2869, 6291, 8730, 3092, 269, 901, 1957, 267, 607, 606, 3801, 540, 20547, 519, 30137, 7158, 267, 22851, 12497, 2079, 540, 23835, 1108, 543, 24936, 1108, 543, 2097, 547, 9446, 607, 2048, 25677, 22964, 3901, 1143, 9957, 634, 2376, 693, 1101, 6257, 519, 29039, 3741, 540, 22964, 3901, 1143, 281, 2789, 18408, 267, 19027, 540, 18408, 267, 1689, 1464, 540, 5168, 282, 543, 1287, 6799, 875, 891, 3741, 616, 11251, 538, 519, 3450, 540, 17700, 269, 898, 849, 6811, 602, 17700, 779, 3646, 593, 3384, 513, 1007, 14985, 267, 7587, 5024, 513, 5842, 724, 320, 267, 8026, 521, 664, 11856, 267, 543, 21108, 1996, 15180, 29625, 543, 3906, 941, 1175, 2994, 540, 1514, 6963, 3842, 14237, 7881, 2864, 982, 519, 6859, 538, 2933, 269, 1306, 21849, 2707, 267, 519, 3312, 562, 1731, 28569, 12261, 538, 2296, 676, 623, 4811, 543, 519, 17103, 540, 519, 8109, 543, 5375, 5640, 723, 1044, 1031, 607, 2484, 607, 2009, 563, 20685, 673, 22964, 3901, 1143, 267, 13221, 267, 918, 1301, 545, 3069, 267, 18310, 454, 763, 3450, 540, 590, 21294, 600, 27376, 17700, 729, 6896, 607, 20144, 12609, 13305, 514, 11535, 676, 1010, 20785, 1310, 1010, 2669, 269, 20144, 12609, 13305, 514, 11535, 729, 3957, 607, 2048, 289, 3291, 11297, 685, 676, 5375, 5640, 538, 519, 476, 1240, 628, 2540, 269, 4595, 519, 2165, 267, 20144, 12609, 543, 13221, 616, 1336, 30430, 1031, 538, 3332, 547, 24901, 519, 3450, 540, 17700, 269, 13221, 814, 1044, 14648, 1200, 332, 2940, 583, 1227, 543, 16167, 609, 3592, 2101, 10459, 268, 14421, 1108, 267, 6530, 267, 4984, 267, 6138, 267, 2257, 267, 543, 519, 17700, 3090, 1242, 607, 4708, 267, 1875, 8686, 2723, 775, 267, 562, 597, 341, 3570, 267, 8200, 1071, 268, 541, 2358, 267, 543, 15851, 1145, 267, 5683, 6205, 267, 1514, 6963, 518, 269, 18623, 2070, 13221, 609, 519, 14485, 540, 2413, 24866, 543, 17855, 3309, 569, 268, 2048, 25677, 4998, 1143, 685, 676, 7101, 327, 752, 16194, 22974, 630, 2735, 280, 267, 533, 269, 476, 31079, 5148, 11313, 655, 2869, 6291, 685, 676, 17833, 1575, 1695, 3570, 630, 3422, 280, 267, 6032, 269, 476, 4792, 268, 476, 6858, 264, 543, 623, 2335, 531, 24499, 630, 1220, 280, 267, 533, 269, 272, 5148, 2048, 7752, 1143, 685, 676, 15917, 525, 267, 630, 2735, 279, 267, 533, 269, 476, 277, 5148, 2048, 25791, 7881, 685, 676, 10910, 903, 5096, 1749, 267, 17629, 2048, 2742, 527, 686, 685, 543, 2048, 1695, 15501, 320, 685, 676, 7665, 631, 1638, 518, 267, 2048, 25791, 6963, 518, 685, 676, 3220, 269, 1912, 1090, 1695, 778, 1415, 320, 10609, 784, 577, 25475, 630, 1960, 274, 267, 533, 269, 476, 25908, 5148, 2048, 16884, 1143, 685, 676, 32129, 2006, 630, 1220, 273, 267, 533, 269, 476, 4200, 264, 543, 23902, 3385, 630, 2735, 279, 267, 533, 269, 476, 6872, 5148, 2048, 289, 3291, 11297, 607, 513, 7787, 626, 268, 7752, 2065, 267, 4550, 5174, 19207, 2006, 673, 267, 4550, 2275, 4292, 543, 552, 6549, 9107, 4984, 685, 676, 7665, 32544, 630, 1220, 272, 267, 533, 269, 272, 5148, 2048, 320, 10853, 2070, 540, 1272, 685, 676, 654, 31670, 3121, 630, 3192, 275, 267, 533, 269, 476, 1704, 5148, 2048, 335, 612, 574, 1143, 685, 676, 5576, 13449, 327, 21516, 630, 310, 6506, 267, 476, 1220, 279, 267, 533, 269, 476, 15389, 5148, 2048, 333, 8811, 559, 2065, 685, 676, 715, 30964, 630, 305, 639, 8688, 267, 476, 3707, 276, 267, 533, 269, 278, 4792, 264, 3092, 563, 289, 3291, 11297, 814, 1044, 13042, 607, 30379, 377, 25677, 4998, 1143, 685, 676, 519, 7986, 4095, 14544, 7101, 327, 752, 16194, 22974, 267, 543, 267, 693, 519, 1482, 942, 267, 24027, 547, 552, 6549, 9107, 267, 1514, 10304, 267, 19473, 2065, 267, 543, 4550, 2275, 4292, 19237, 269, 634, 1950, 543, 11786, 17568, 585, 13221, 971, 607, 17729, 519, 1482, 3364, 607, 1312, 4998, 1143, 543, 19473, 1143, 8730, 543, 4998, 1143, 2324, 585, 1514, 10304, 814, 1044, 3144, 607, 513, 1382, 1966, 269, 594, 7722, 538, 2417, 2689, 540, 519, 14418, 5931, 547, 1174, 713, 1950, 2856, 607, 2241, 607, 2009, 1106, 269, 1635, 7421, 13221, 609, 519, 7828, 540, 2413, 24866, 607, 824, 7986, 5640, 1705, 267, 594, 4767, 7850, 11696, 28917, 1063, 519, 3450, 540, 1744, 21294, 600, 27376, 543, 15872, 540, 5261, 6276, 267, 519, 2491, 619, 540, 22964, 3901, 1143, 269, 634, 3450, 540, 17700, 4667, 607, 513, 23988, 585, 14237, 519, 13919, 267, 8296, 543, 6568, 269, 9747, 267, 713, 12497, 2079, 5267, 21458, 13221, 607, 30379, 377, 25677, 22964, 3901, 1143, 9957, 4935, 267, 713, 2376, 2337, 547, 12497, 1125, 519, 11944, 540, 6138, 267, 5683, 29943, 540, 6138, 538, 1514, 2796, 267, 543, 1935, 540, 7421, 23835, 1108, 563, 10932, 5999, 543, 6396, 1108, 454, 2026, 829, 519, 11008, 1436, 540, 918, 739, 699, 322, 630, 1001, 277, 1070, 713, 2376, 2934, 607, 12497, 2079, 2864, 982, 12170, 1353, 269, 5530, 6663, 547, 2626, 519, 2055, 281, 630, 320, 264, 1018, 568, 519, 23835, 1108, 540, 519, 3450, 540, 17700, 282, 543, 630, 321, 264, 1018, 729, 519, 5683, 29943, 540, 519, 3450, 540, 17700, 547, 519, 1287, 2486, 269, 1280, 519, 11018, 2035, 543, 2093, 24797, 538, 1114, 3450, 540, 17700, 12873, 538, 519, 3312, 562, 1731, 28569, 12261, 2523, 676, 6022, 328, 7956, 5980, 941, 6594, 269, 19873, 725, 540, 519, 5931, 676, 519, 14418, 5640, 540, 1312, 5101, 543, 4639, 585, 519, 1482, 6644, 607, 2484, 607, 2009, 616, 3773, 269, 769, 713, 1184, 267, 519, 23835, 1670, 2460, 268, 20704, 630, 328, 4318, 269, 667, 8817, 7880, 1588, 264, 543, 24936, 1670, 2460, 268, 1625, 1842, 633, 630, 328, 4318, 269, 2713, 540, 519, 13411, 1272, 538, 30400, 476, 8287, 281, 20537, 1170, 16619, 267, 476, 1960, 279, 264, 11251, 538, 519, 3450, 2968, 12667, 269, 4595, 519, 1543, 543, 2093, 540, 891, 1079, 3344, 799, 24330, 803, 616, 4843, 1625, 1842, 1947, 543, 28729, 563, 20684, 5956, 609, 18995, 519, 11696, 28917, 1063, 519, 2596, 22402, 540, 22964, 3901, 1143, 543, 519, 3450, 540, 17700, 269, 2311, 519, 2034, 851, 267, 4901, 30211, 547, 1118, 606, 4661, 540, 782, 519, 3450, 540, 17700, 6212, 593, 7881, 268, 5837, 4441, 267, 2081, 543, 8404, 540, 14237, 13919, 269, 5637, 2035, 616, 24704, 547, 21458, 13221, 607, 2048, 25677, 22964, 3901, 1143, 685, 693, 519, 1439, 269, 21261, 6763, 593, 3140, 3909, 5931, 2094, 12217, 519, 17271, 7687, 269, 4935, 267, 602, 616, 711, 10645, 607, 3803, 543, 7123, 267, 855, 1945, 602, 568, 11179, 1930, 547, 1007, 5813, 543, 7664, 607, 1566, 1441, 676, 28741, 802, 5459, 1299, 674, 1845, 523, 630, 1001, 273, 1916, 21995, 20031, 2478, 540, 26285, 3901, 1143, 454, 8248, 597, 576, 22579, 519, 2262, 31544, 1143, 9706, 4048, 3901, 1143, 689, 519, 5259, 2262, 22964, 2742, 630, 716, 610, 632, 539, 264, 543, 4843, 1010, 2856, 540, 22964, 3901, 1143, 607, 513, 4341, 610, 1505, 585, 5587, 4328, 2093, 543, 2035, 269, 1261, 11329, 856, 519, 1523, 540, 9299, 343, 529, 676, 17548, 268, 722, 509, 10964, 3971, 338, 616, 2731, 3652, 585, 2962, 892, 630, 8248, 597, 576, 267, 3967, 269, 6942, 279, 1040, 9747, 267, 689, 519, 4098, 267, 519, 2165, 22964, 3901, 1143, 6585, 519, 1523, 540, 9299, 343, 529, 269, 13536, 267, 5261, 6276, 630, 4572, 273, 264, 11225, 519, 1523, 540, 22964, 3901, 1143, 607, 2048, 2784, 673, 10686, 6291, 685, 912, 2507, 10686, 6291, 1317, 621, 568, 1543, 539, 547, 2543, 922, 1034, 21407, 8753, 7282, 6927, 540, 1249, 607, 8367, 25964, 547, 14842, 538, 519, 1576, 540, 2104, 1995, 282, 543, 594, 2161, 9097, 1317, 621, 2560, 323, 3996, 711, 2915, 3901, 1227, 14751, 1395, 1143, 607, 1945, 609, 799, 782, 2833, 814, 3893, 547, 4009, 630, 2181, 2183, 267, 642, 4512, 1299, 642, 13839, 994, 19365, 6276, 538, 519, 1184, 540, 7713, 1010, 2856, 2048, 303, 4048, 3901, 1143, 281, 513, 1007, 2012, 585, 930, 2025, 2081, 540, 3206, 630, 22832, 267, 476, 4572, 273, 264, 8730, 17099, 547, 623, 15127, 585, 519, 4098, 540, 519, 2856, 540, 22964, 3901, 1143, 543, 1500, 8100, 540, 824, 15806, 971, 607, 3627, 1546, 28838, 267, 674, 269, 595, 269, 590, 269, 5576, 14525, 267, 14466, 7236, 267, 2349, 1180, 601, 267, 632, 590, 841, 569, 267, 808, 269, 6660, 3873, 644, 267, 2274, 20858, 267, 5395, 773, 269, 3245, 1010, 7778, 267, 22964, 3901, 1143, 568, 6956, 607, 513, 6138, 602, 24693, 16148, 543, 2789, 18408, 267, 543, 607, 513, 13452, 22496, 585, 11008, 1944, 2915, 15122, 543, 31544, 3069, 269, 589, 3069, 602, 10742, 519, 7355, 540, 1689, 1464, 609, 12170, 1239, 610, 5013, 543, 32636, 609, 4143, 547, 519, 2361, 568, 1572, 31544, 269, 1280, 6276, 267, 630, 320, 264, 5168, 568, 2789, 281, 22964, 3901, 1143, 568, 30379, 375, 2784, 673, 390, 376, 1317, 621, 11542, 585, 12683, 1143, 1996, 519, 2757, 7678, 540, 1395, 1143, 630, 22832, 267, 476, 4572, 273, 267, 533, 269, 476, 14065, 5148, 630, 321, 264, 5168, 607, 19027, 281, 3020, 2093, 616, 1346, 602, 649, 666, 15849, 30968, 267, 19472, 267, 30599, 4011, 622, 543, 13182, 630, 756, 573, 267, 533, 269, 476, 1001, 5148, 543, 630, 322, 264, 5168, 568, 3730, 281, 5168, 1465, 540, 1022, 2856, 568, 12290, 609, 922, 32636, 269, 4595, 519, 3841, 334, 585, 621, 568, 281, 968, 527, 568, 3730, 1317, 621, 568, 3020, 892, 610, 602, 968, 527, 568, 3020, 1317, 621, 568, 3730, 630, 756, 573, 267, 533, 269, 476, 10711, 264, 6100, 24225, 338, 2630, 2417, 1865, 1142, 540, 519, 1814, 518, 687, 563, 8248, 597, 576, 630, 22261, 269, 476, 6942, 278, 264, 519, 5169, 1807, 540, 22964, 3901, 1143, 1566, 1149, 602, 14374, 5956, 609, 8969, 543, 3661, 543, 6368, 7475, 547, 519, 5168, 269, 1280, 1864, 267, 1022, 14374, 568, 11461, 609, 2025, 3661, 543, 7475, 547, 513, 1007, 1249, 267, 2705, 267, 713, 1184, 11179, 4422, 6619, 912, 2507, 519, 16698, 540, 8969, 3123, 513, 6560, 547, 12492, 513, 1533, 540, 3661, 267, 543, 8754, 5956, 606, 14374, 269, 4935, 267, 938, 4978, 3391, 938, 13821, 543, 3337, 938, 3527, 269, 634, 1034, 602, 666, 581, 9738, 568, 267, 602, 649, 3343, 585, 513, 3661, 602, 649, 4927, 1589, 547, 581, 3020, 269, 1809, 649, 1589, 1142, 835, 540, 938, 4978, 547, 581, 3020, 630, 335, 269, 275, 1299, 276, 1916, 23871, 3578, 267, 585, 519, 22964, 3901, 626, 267, 568, 2760, 6207, 855, 2141, 1008, 29850, 267, 1813, 14356, 547, 938, 2887, 2225, 607, 1480, 7919, 267, 607, 1134, 607, 519, 22406, 2179, 540, 1702, 543, 1620, 602, 649, 3274, 3112, 1569, 538, 835, 10715, 630, 303, 869, 2431, 267, 476, 1001, 277, 267, 533, 269, 476, 2420, 1040, 26285, 3901, 1143, 1202, 1235, 602, 5168, 538, 519, 13737, 568, 1152 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 1590, 723, 12193, 621, 454, 12828, 4786, 544, 330, 294, 5090, 7399, 454, 3602, 454, 29788, 815, 6677, 520, 575, 454, 333, 3518, 1229, 815, 23407, 1496, 271, 907, 316, 6366, 454, 14706, 525, 815, 6882, 16733, 2525, 262, 271, 10807, 1547, 521, 526, 264, 22921, 454, 335, 815, 535, 560, 1547, 2212, 8096, 4642, 525, 454, 335, 1601, 4850, 21591, 9131, 272, 262, 907, 262, 280, 11172, 8607, 630, 992, 575, 533, 1341, 266, 897, 575, 533, 1341, 266, 1591, 575, 533, 994, 6600, 3224, 267, 318, 281, 3724, 264, 815, 8237, 4263, 533, 6366, 454, 332, 330, 294, 5090, 1007, 815, 2516, 8170, 476, 280, 630, 12506, 1341, 266, 1496, 2908, 316, 1341, 266, 1394, 2020, 31467, 26012, 1496, 294, 5090, 316, 9847, 1496, 294, 5090, 2639, 31467, 815, 6677, 520, 24961, 970, 1905, 25544, 692, 338, 9876, 26012, 25373, 9847, 25373, 454, 338, 9876, 575, 21591, 18431, 4586, 339, 820, 4407, 630, 2254, 1547, 14275, 264, 4586, 30185, 8520, 8096, 1496, 326, 6540, 10852, 815, 798, 454, 2280, 454, 23950, 1749, 26012, 1496, 294, 5090, 2639, 23950, 1749, 21591, 25364, 8170, 476, 280, 4586, 6050, 8096, 9115, 454, 2280, 678, 23950, 1749, 284, 14090, 630, 935, 13906, 24961, 1913, 264, 21870, 454, 31095, 17572, 834, 335, 9834, 28802, 257, 15478, 19651, 15478, 476, 2040, 8096, 4786, 630, 9008, 274, 1547, 4194, 264, 8096, 678, 23950, 1749, 454, 2889, 12378, 318, 9834, 815, 10852, 454, 7884, 1012, 9046, 476, 9032, 692, 8340, 519, 2063, 4557, 9704, 540, 519, 1875, 5336, 619, 26413, 6305, 281, 476, 29257, 3451, 6398, 476, 30116, 19054, 6872, 1341, 476, 272, 780, 11405, 1384, 3499, 2889, 12378, 318, 9032, 21591, 4148, 760, 1110, 3970, 8096, 476, 29257, 3451, 2608, 4073, 9556, 3970, 476, 273, 476, 4281, 274, 271, 3393, 278, 1341, 476, 272, 454, 3602, 454, 3916, 527, 284, 1015, 317, 1015, 454, 7884, 1012, 9046, 476, 7176, 692, 20059, 580, 908, 1913, 267, 543, 741, 606, 22329, 267, 799, 666, 2099, 4009, 2338, 780, 11405, 1384, 3499, 5814, 4578, 269, 8266, 454, 5814, 4578, 8160, 599, 2041, 454, 5814, 4578, 12171, 4233, 630, 517, 2020, 734, 29799, 1142, 4484, 540, 513, 2262, 267, 610, 7857, 540, 513, 1297, 267, 609, 454, 734, 519, 4994, 540, 1141, 602, 4484, 610, 7857, 1101, 5526, 454, 2889, 12803, 26012, 18103, 513, 18092, 1496, 320, 316, 9847, 1496, 4504, 2639, 2889, 12803, 1535, 815, 4786, 630, 5228, 9617, 1547, 16212, 1413, 1575, 630, 785, 1182, 1535, 4297, 1535, 454, 3602, 454, 785, 1182, 815, 4786, 2212, 1547, 1895, 3528, 535, 560, 292, 336, 1547, 4990, 1547, 16212, 23407, 1496, 271, 907, 6540, 734, 6744, 585, 7862, 593, 519, 1101, 5057, 540, 513, 24042, 454, 325, 560, 292, 336, 26012, 26169, 513, 18092, 630, 320, 267, 536, 264, 9847, 630, 320, 267, 536, 264, 9847, 645, 944, 454, 325, 560, 292, 336, 815, 630, 2525, 264, 2387, 517, 319, 535, 560, 692, 734, 634, 27008, 540, 513, 1507, 1592, 454, 7290, 26012, 18103, 513, 18092, 1496, 320, 316, 9847, 27883, 320, 267, 2271, 22708, 7290, 815, 1577, 6221, 575, 815, 630, 3650, 575, 267, 3259, 575, 264, 538, 4786, 6221, 1547, 1895, 1547, 4990, 692, 734, 634, 1592, 540, 606, 8183, 5036, 585, 513, 2262, 1592, 563, 534, 22329, 26012, 18103, 513, 18092, 20886, 320, 14963, 9847, 20886, 314, 320, 14963, 2639, 534, 22329, 1535, 815, 4786, 630, 14090, 521, 526, 264, 8096, 6882, 630, 2254, 1547, 14275, 1547, 6749, 476, 272, 264, 8096, 454, 16766, 3528, 535, 560, 292, 336, 8096, 4990, 8096, 23407, 630, 14090, 1277, 1535, 264, 1535, 692, 734, 9717, 1079, 13113, 8638, 602, 616, 513, 32089, 540, 835, 454, 734, 1776, 267, 2132, 519, 32089, 1599, 454, 332, 330, 303, 1069, 1393, 26012, 18103, 513, 18092, 1496, 320, 316, 9847, 1496, 320, 316, 9847, 630, 314, 321, 316, 9847, 1496, 321, 7481, 332, 330, 303, 1069, 1393, 1535, 586, 815, 8424, 2414, 303, 1069, 1393, 8096, 6677, 520, 8096, 454, 32502, 4415, 23407, 630, 665, 15479, 1535, 264, 630, 665, 15479, 586, 994, 3602, 454, 335, 4202, 2414, 303, 1069, 1393, 27666, 815, 16212, 4786, 630, 14090, 521, 526, 8096, 4990, 27666, 264, 1547, 630, 8627, 994, 665, 15479, 815, 4786, 630, 14090, 521, 526, 264, 1547, 1895, 3528, 535, 560, 292, 336, 1547, 4990, 1547, 16212, 23407, 1496, 271, 907, 6540, 2889, 12378, 318, 7176, 26012, 1496, 21803, 316, 9847, 2271, 454, 314, 344, 1923, 729, 26013, 4990, 3528, 1279, 5575, 8096, 606, 22329, 530, 338, 267, 672, 4534, 2262, 606, 8183, 5036, 454, 342, 272, 281, 339, 26013, 21217, 729, 267, 530, 273, 26013, 512, 2676, 2280, 7989, 1393, 815, 544, 330, 303, 1069, 1393, 530, 272, 530, 273, 2676, 19063, 26013, 4990, 3528, 1279, 5575, 8096, 606, 22329, 8096, 454, 16344, 614, 16733, 2525, 9043, 530, 272, 264, 1547, 9043, 264, 8096, 454, 17840, 4407, 630, 4148, 760, 3476, 1320, 534, 530, 272, 264, 8096, 454, 339, 820, 4407, 630, 2254, 1547, 3476, 1320, 534, 530, 272, 264, 8096, 454, 14090, 1397, 8096, 4786, 22570, 343, 9847, 1535, 2608, 1535, 264, 1496, 272, 907, 3910, 4534, 1297, 606, 8183, 5036, 454, 343, 281, 339, 26013, 21217, 13439, 267, 586, 26013, 512, 2676, 11279, 1393, 1535, 2652, 586, 13466, 7989, 1393, 586, 2652, 1535, 454, 6540, 14725, 318, 2889, 12378, 318, 7176, 26012, 594, 302, 2271, 454, 14725, 318, 2889, 12378, 318, 7176, 815, 798, 454, 2280, 1913, 815, 1224, 8096, 1412, 9131, 2433, 1913, 18316, 1341, 266, 834, 316, 4840, 8873, 8096, 1966, 318, 7176, 1913, 692, 734, 23037, 593, 3259, 540, 1101, 3693, 267, 689, 13074, 547, 20125, 454, 14075, 5575, 26012, 20886, 320, 14963, 9847, 20886, 320, 14963, 9847, 18103, 1359, 454, 14075, 5575, 815, 16212, 5635, 299, 523, 2387, 517, 319, 535, 560, 692, 734, 1772, 586, 3476, 982, 1535, 888, 14075, 518, 1320, 534, 26012, 1496, 320, 316, 9847, 1496, 320, 316, 9847, 645, 944, 454, 14075, 518, 1320, 534, 1535, 586, 815, 5635, 299, 523, 1535, 586, 2652, 700, 307, 692, 734, 14424, 519, 13080, 540, 8638, 267, 609, 2110, 2275, 1844, 340, 1746, 454, 4818, 732, 299, 523, 26012, 1496, 320, 316, 9847, 1496, 320, 316, 9847, 18103, 1359, 454, 4818, 732, 299, 523, 630, 318, 281, 343, 338, 264, 630, 318, 281, 903, 264, 815, 5635, 299, 523, 1535, 338, 586, 338, 454, 4818, 732, 299, 523, 630, 318, 281, 318, 264, 476, 32582, 672, 815, 717, 307, 454, 4818, 732, 299, 523, 32582, 672, 32582, 672, 815, 661, 304, 454, 4818, 732, 299, 523, 32582, 672, 630, 318, 281, 318, 264, 476, 815, 700, 307, 454, 7884, 18154, 325, 269, 2110, 2275, 1844, 340, 1746, 2020, 1012, 9046, 476, 4200, 692, 7617, 3490, 270, 10339, 9426, 6292, 538, 519, 3758, 814, 519, 6574, 10230, 1871, 2496, 11405, 1384, 3499, 5814, 4578, 269, 8266, 454, 331, 1758, 636, 630, 321, 267, 324, 264, 815, 552, 2608, 2845, 536, 454, 8421, 325, 684, 1535, 815, 561, 1758, 636, 1547, 1224, 8096, 834, 2891, 1341, 266, 1535, 1341, 266, 834, 264, 4840, 2889, 12378, 318, 4200, 815, 521, 526, 1547, 5021, 1547, 16212, 23407, 1496, 272, 907, 316, 1547, 4786, 2845, 325, 684, 1547, 3515, 454, 10852, 815, 1224, 17572, 834, 19668, 318, 10339, 17902, 257, 23645, 284, 1820, 1547, 1966, 318, 4200, 454, 7884, 1012, 9046, 476, 1911, 692, 23804, 519, 1297, 540, 4544, 25923, 585, 799, 972, 568, 476, 2004, 260, 4960, 540, 2921, 1079, 4544, 780, 11405, 1384, 3499, 10113, 5723, 513, 536, 454, 347, 320, 17070, 285, 1015, 317, 1321, 815, 314, 320, 14720, 2639, 347, 1278, 3772, 284, 10113, 5723, 630, 274, 265, 320, 266, 273, 265, 321, 266, 273, 264, 630, 275, 265, 320, 266, 274, 265, 321, 266, 274, 264, 0, 288, 18044, 3763, 518, 12754, 13505, 692, 258, 27387, 281, 10261, 948, 4466, 10974, 540, 513, 6906, 692, 272, 269, 12361, 10261, 948, 4466, 10974, 540, 513, 6906, 692, 15447, 333, 1919, 912, 4120, 595, 5723, 454, 4120, 667, 5723, 454, 5723, 568, 13902, 547, 7131, 454, 26319, 540, 9474, 454, 1723, 24002, 540, 589, 543, 645, 692, 23921, 547, 1265, 912, 10870, 24002, 540, 595, 543, 667, 780, 273, 269, 3259, 540, 7460, 815, 700, 265, 11927, 263, 4120, 595, 5723, 994, 26319, 540, 30183, 815, 700, 265, 11927, 263, 4120, 667, 5723, 2020, 307, 836, 550, 568, 513, 1434, 1599, 547, 917, 269, 5291, 2517, 523, 25769, 3820, 28293, 20081, 3419, 517, 334, 1862, 2388, 258, 307, 836, 550, 692, 1103, 18044, 621, 781, 4569, 6745, 534, 14061, 901, 949, 581, 2614, 9623, 547, 1265, 519, 10974, 910, 952, 596, 991, 811, 948, 267, 1577, 803, 917, 780, 9539, 7002, 692, 274, 269, 590, 13446, 585, 519, 3735, 16253, 2439, 12552, 562, 658, 3333, 267, 602, 2731, 5280, 803, 513, 2603, 780, 275, 269, 16009, 263, 4120, 595, 5723, 6661, 290, 289, 270, 5723, 692, 810, 267, 25553, 284, 9474, 265, 11927, 263, 4120, 595, 5723, 2020, 7562, 263, 4120, 595, 5723, 6661, 290, 289, 14370, 3722, 2020, 810, 267, 8028, 284, 25553, 4882, 514, 263, 4120, 595, 5723, 2020, 1607, 3947, 596, 519, 3259, 540, 782, 5011, 540, 519, 6906, 8028, 289, 269, 2060, 713, 596, 666, 1265, 519, 10974, 267, 1175, 4952, 602, 5086, 595, 568, 693, 519, 5169, 630, 271, 267, 271, 1040, 1215, 5271, 1676, 267, 519, 5377, 2451, 7944, 540, 519, 3942, 568, 711, 476, 271, 267, 271, 621, 568, 630, 19417, 540, 519, 3942, 267, 271, 2020, 2971, 5403, 532, 18983, 3827, 692, 1892, 1411, 949, 711, 2022, 1007, 16060, 454, 1892, 1411, 949, 711, 2022, 30491, 454, 1892, 1411, 949, 711, 2022, 27589, 454, 1892, 1411, 949, 711, 12575, 707, 9708, 454, 1892, 692, 9732, 5851, 9732, 20176, 625, 9732, 20861, 338, 9732, 4427, 332, 3827, 9732, 8274, 9732, 25103, 9732, 17352, 9732, 24720, 9732, 20155, 9732, 674, 20184, 9732, 634, 700, 1735, 613, 9732, 14675, 10753, 3591, 9732, 14675, 674, 311, 9732, 6168, 674, 298, 9732, 590, 14403, 777, 0, 258, 3752, 527, 517, 585, 623, 14701, 338, 4569, 476, 277, 4375, 280, 1107, 700, 1815, 476, 273, 2098, 6062, 329, 684, 1627, 26820, 630, 336, 26820, 287, 583, 11985, 12975, 264, 336, 26820, 287, 583, 11985, 12975, 4972, 540, 9119, 634, 2160, 540, 7147, 1107, 7754, 1977, 20029, 476, 273, 267, 476, 1220, 279, 780, 8070, 593, 476, 1704, 11219, 534, 268, 1001, 277, 692, 21497, 5784, 692, 32051, 1384, 1012, 26671, 692, 15045, 3198, 17092, 6020, 8976, 692, 1892, 3752, 527, 517, 585, 623, 14701, 338, 13043, 476, 277, 4375, 280, 700, 1815, 476, 273, 313, 6062, 329, 684, 1627, 26820, 32429, 26820, 287, 583, 11985, 12975, 264, 23430, 540, 9119, 763, 2160, 540, 7147, 7754, 1977, 692, 5353, 696, 476, 273, 267, 476, 1220, 279, 692, 1892, 901, 568, 519, 1259, 596, 2356, 1294, 1151, 527, 976, 538, 13719, 1216, 267, 1085, 584, 11538, 2059, 899, 8983, 538, 519, 8937, 614, 267, 693, 513, 4336, 540, 513, 1152, 513, 1906, 6279, 538, 8700, 543, 4463, 780, 1892, 5695, 12712, 775, 5526, 693, 782, 10253, 538, 519, 4365, 269, 5695, 12712, 775, 5540, 4365, 12605, 693, 782, 10253, 11053, 7875, 18834, 15486, 28687, 1643, 1399, 538, 31592, 16661, 20530, 2109, 692, 1892, 589, 7878, 31285, 568, 1175, 835, 540, 519, 9259, 602, 29079, 18868, 11394, 547, 2491, 269, 1635, 6061, 5078, 4834, 267, 22697, 666, 1711, 2780, 13502, 540, 4767, 2665, 540, 31285, 780, 1892, 6201, 540, 12862, 1331, 9362, 543, 15559, 269, 15380, 267, 15559, 616, 2808, 547, 581, 22424, 816, 1043, 267, 3602, 553, 9362, 616, 2808, 547, 581, 14771, 1043, 269, 29079, 2095, 568, 13856, 676, 519, 12044, 3830, 268, 22085, 269, 1703, 616, 513, 19619, 540, 3156, 538, 4702, 543, 1684, 291, 4273, 780, 1892, 645, 19272, 294, 4629, 26685, 692, 2080, 568, 519, 1383, 269, 1703, 568, 513, 1134, 1634, 623, 14701, 602, 14340, 538, 519, 9781, 540, 1585, 5714, 8928, 267, 689, 8710, 6329, 547, 31285, 267, 1634, 607, 26990, 619, 3830, 780, 2005, 568, 267, 10199, 6340, 267, 513, 835, 8820, 1286, 545, 1155, 540, 519, 18937, 1512, 21178, 10280, 3830, 267, 865, 3844, 547, 5714, 11707, 269, 26990, 619, 3830, 4145, 513, 2361, 579, 4470, 593, 835, 8901, 11282, 267, 1535, 267, 543, 942, 267, 512, 269, 634, 623, 14701, 568, 607, 2854, 780, 1892, 13488, 532, 23027, 1384, 1607, 568, 519, 681, 22044 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2923, 607, 1279, 9434, 2825, 9568, 269, 634, 2360, 786, 4096, 593, 513, 3099, 540, 2188, 1519, 519, 7274, 543, 1826, 540, 3282, 838, 2683, 543, 875, 621, 25998, 609, 519, 7286, 1604, 269, 13813, 29908, 949, 1764, 519, 1604, 538, 1585, 2081, 269, 3689, 267, 519, 2168, 1159, 1278, 532, 540, 7103, 799, 568, 3361, 676, 11041, 609, 513, 1164, 25297, 267, 538, 824, 1913, 5230, 11041, 563, 13553, 267, 519, 3114, 17219, 799, 568, 513, 8984, 540, 14402, 3114, 3334, 799, 616, 811, 6915, 268, 19989, 568, 12842, 883, 8219, 267, 8031, 543, 2281, 267, 543, 666, 723, 1016, 6122, 11209, 610, 24037, 6757, 2360, 269, 12059, 267, 519, 8733, 2242, 799, 568, 3361, 676, 519, 2530, 540, 1883, 7103, 609, 513, 1808, 1599, 538, 606, 8733, 2146, 269, 1358, 666, 581, 8719, 676, 1114, 2249, 23072, 2147, 3252, 538, 799, 2013, 519, 6286, 585, 519, 5117, 607, 513, 2898, 949, 711, 581, 4049, 563, 18744, 11157, 8696, 16015, 941, 1471, 4601, 3282, 539, 267, 855, 519, 1964, 5747, 585, 519, 1482, 4128, 519, 5017, 1705, 269, 3502, 1152, 941, 519, 5017, 543, 4262, 16015, 4299, 267, 855, 849, 519, 11864, 267, 899, 16385, 543, 23522, 563, 763, 11864, 540, 519, 1216, 723, 547, 2097, 909, 547, 13236, 519, 2011, 269, 4595, 519, 1216, 568, 1102, 6479, 609, 3282, 267, 789, 2627, 811, 547, 7362, 538, 4195, 2011, 269, 1809, 3079, 540, 519, 4195, 2011, 602, 789, 616, 24584, 267, 789, 13236, 538, 519, 13802, 602, 519, 3282, 3947, 1055, 269, 1924, 713, 1797, 602, 519, 3282, 568, 711, 1152, 7133, 519, 4262, 267, 855, 519, 2011, 1932, 563, 2026, 585, 519, 17822, 267, 1134, 972, 568, 513, 2698, 540, 5195, 602, 568, 3282, 539, 269, 20579, 11084, 723, 7902, 593, 17822, 8151, 689, 2694, 540, 8895, 4034, 517, 547, 930, 2694, 540, 8419, 269, 4107, 569, 7133, 17039, 267, 17665, 267, 543, 14967, 269, 901, 814, 1044, 6140, 7133, 519, 9235, 563, 6624, 540, 519, 17822, 941, 6806, 267, 4929, 519, 9235, 2557, 547, 979, 1524, 269, 634, 21383, 5949, 693, 476, 276, 267, 3952, 2630, 4262, 1377, 269, 901, 786, 1860, 1919, 2539, 538, 519, 5836, 1932, 269, 634, 5540, 540, 713, 1223, 2063, 585, 5756, 267, 1317, 540, 519, 2067, 1184, 602, 9397, 1524, 519, 3282, 563, 1607, 786, 1118, 621, 10053, 2614, 547, 16173, 547, 519, 5377, 540, 519, 5836, 6989, 267, 7133, 519, 4262, 1673, 6202, 619, 540, 519, 5836, 585, 5756, 563, 1607, 1223, 1256, 1628, 909, 936, 942, 269, 634, 9568, 602, 13351, 3013, 538, 4989, 2073, 786, 1860, 1082, 1114, 3344, 267, 689, 2724, 547, 519, 1604, 269, 898, 786, 1860, 22680, 267, 9235, 267, 543, 10068, 6080, 267, 4929, 873, 547, 6336, 2724, 563, 2005, 786, 849, 1860, 519, 2831, 267, 543, 2014, 1279, 3856, 5540, 593, 519, 1604, 269, 1772, 6271, 12213, 4248, 28155, 769, 5271, 3386, 286, 1215, 7043, 547, 5589, 1478, 286, 13201, 519, 28100, 1044, 1401, 16925, 730, 286, 3973, 267, 538, 16563, 267, 594, 666, 1152, 4126, 1250, 4064, 786, 3717, 1250, 2295, 269, 6904, 540, 707, 1568, 1131, 596, 899, 547, 2995, 707, 2828, 827, 888, 763, 2165, 3282, 21383, 568, 3006, 1031, 547, 3277, 547, 7286, 3282, 29908, 1141, 972, 568, 513, 5305, 540, 3282, 883, 519, 5836, 267, 9381, 7297, 610, 1022, 824, 1216, 1560, 269, 2201, 519, 2244, 519, 3282, 29908, 616, 2356, 11658, 543, 741, 1764, 666, 581, 17515, 3833, 3362, 3379, 547, 7286, 3282, 29908, 563, 302, 559, 1975, 1571, 3594, 1323, 3282, 21383, 666, 581, 3989, 607, 606, 23139, 610, 20982, 546, 18804, 540, 3282, 610, 19386, 2472, 883, 519, 5836, 543, 922, 9381, 7297, 267, 536, 904, 267, 543, 3771, 26092, 267, 610, 5196, 2244, 267, 610, 883, 8933, 610, 12647, 630, 29804, 636, 15426, 9737, 835, 543, 4557, 2929, 11973, 9748, 630, 821, 11973, 9522, 568, 13532, 1916, 12914, 476, 1704, 267, 5788, 7324, 1082, 824, 3282, 29908, 267, 519, 22680, 3282, 21383, 538, 519, 13323, 540, 6792, 267, 7018, 593, 4989, 476, 736, 267, 729, 6592, 607, 519, 6574, 2825, 9568, 538, 938, 1686, 630, 21990, 13451, 519, 1158, 781, 10782, 23139, 3282, 21383, 267, 15426, 634, 21383, 729, 5219, 547, 607, 519, 12213, 4248, 21222, 517, 3282, 21383, 267, 22680, 3282, 21383, 267, 13323, 540, 6792, 3282, 21383, 267, 543, 22680, 3282, 9568, 269, 898, 729, 1101, 1767, 602, 2370, 3282, 1185, 2965, 682, 8898, 883, 519, 5836, 855, 513, 2370, 936, 513, 3923, 2663, 519, 7447, 729, 476, 1321, 23463, 29054, 540, 19020, 3282, 1373, 682, 8898, 829, 1554, 563, 13625, 476, 272, 634, 12213, 4248, 21222, 517, 3282, 21383, 729, 606, 3282, 21383, 538, 519, 13323, 540, 6792, 799, 2095, 539, 585, 1614, 3275, 538, 901, 21383, 1185, 513, 21472, 593, 519, 1604, 4929, 3573, 3441, 547, 7286, 543, 7320, 9249, 607, 1547, 4828, 593, 3282, 29908, 26932, 5202, 29194, 519, 521, 9017, 3046, 321, 4673, 538, 713, 1788, 267, 2360, 543, 21369, 3282, 21383, 538, 13076, 609, 519, 5836, 269, 2060, 519, 7286, 5533, 281, 606, 1648, 2754, 267, 1557, 593, 2244, 269, 0, 2026, 513, 4759, 267, 596, 3513, 849, 1205, 19957, 1569, 547, 936, 476, 4037, 267, 4245, 538, 2979, 267, 2296, 267, 2257, 267, 1686, 267, 543, 811, 269, 9578, 267, 1205, 2259, 4255, 267, 17118, 267, 543, 10531, 18006, 547, 948, 596, 8011, 269, 8298, 514, 1934, 585, 1569, 269, 8298, 538, 610, 1129, 909, 547, 1039, 713, 3992, 547, 513, 11426, 6092, 269, 8298, 514, 610, 6178, 909, 563, 297, 517, 1695, 814, 513, 2462, 1788, 693, 960, 602, 781, 2731, 2566, 532, 1864, 856, 269, 1261, 814, 547, 11282, 1896, 1004, 945, 616, 782, 538, 5279, 540, 851, 540, 519, 1788, 267, 543, 646, 814, 547, 1118, 2386, 602, 621, 781, 782, 2944, 593, 942, 269, 1656, 1631, 267, 1010, 20148, 814, 4280, 1864, 585, 513, 3356, 1867, 269, 13744, 1695, 3085, 1405, 917, 1018, 547, 2322, 538, 519, 1867, 610, 875, 547, 3898, 621, 269, 589, 3356, 1867, 568, 513, 2854, 2594, 540, 1018, 814, 1044, 2944, 543, 1018, 568, 2451, 547, 798, 593, 513, 1788, 269, 2334, 568, 267, 621, 568, 513, 1867, 540, 519, 3356, 602, 814, 1044, 1500, 593, 519, 1788, 267, 799, 568, 1946, 621, 568, 19038, 569, 3957, 513, 3356, 1867, 563, 3682, 28698, 5359, 4196, 1896, 3252, 269, 1358, 666, 15260, 675, 519, 23700, 602, 3356, 568, 1373, 1500, 610, 1217, 873, 540, 17799, 538, 513, 1788, 2073, 899, 13744, 1695, 21130, 1010, 20148, 593, 519, 1788, 693, 960, 563, 3682, 28698, 5359, 666, 849, 581, 1031, 547, 3715, 543, 6101, 1125, 11645, 540, 2319, 2818, 267, 17063, 1524, 513, 960, 8430, 585, 513, 1788, 267, 543, 1865, 2009, 2042, 538, 519, 1788, 610, 922, 15415, 563, 2414, 948, 13744, 1695, 2328, 1010, 3356, 1867, 267, 1577, 781, 1413, 693, 519, 1455, 12043, 540, 513, 3356, 1867, 543, 519, 1543, 267, 610, 1018, 646, 1058, 1331, 538, 519, 1867, 269, 13744, 1695, 6487, 646, 2115, 547, 2328, 513, 3356, 1867, 585, 1010, 20148, 267, 855, 646, 781, 711, 2386, 875, 621, 1058, 1413, 269, 6496, 646, 991, 547, 2322, 621, 538, 513, 536, 5407, 609, 513, 3382, 286, 9701, 646, 2322, 621, 593, 2754, 4484, 3650, 888, 7775, 1058, 646, 1175, 795, 582, 930, 4967, 1524, 538, 606, 4757, 286, 18776, 5359, 666, 2097, 538, 1082, 1114, 3029, 267, 855, 972, 616, 1614, 3119, 12043, 602, 1034, 1004, 946, 585, 741, 3356, 5359, 15545, 4595, 13744, 1695, 781, 3356, 1867, 568, 2469, 856, 547, 1010, 20148, 543, 32283, 619, 267, 646, 4440, 4465, 1405, 1616, 547, 3898, 621, 607, 513, 6101, 1867, 563, 3891, 1223, 1459, 621, 607, 513, 1509, 334, 610, 4484, 267, 855, 13744, 1695, 14659, 602, 4757, 568, 513, 1434, 3898, 585, 621, 269, 898, 781, 10375, 267, 543, 3025, 666, 723, 606, 5907, 5299, 10710, 269, 13744, 1695, 781, 6126, 602, 646, 781, 6074, 519, 3898, 585, 1010, 3356, 1867, 267, 855, 646, 1869, 7959, 16397, 269, 1548, 1344, 1058, 646, 1331, 538, 519, 1867, 286, 1306, 609, 3898, 267, 3356, 5359, 4268, 5594, 538, 1018, 1344, 568, 3769, 269, 4985, 769, 519, 4367, 267, 13744, 1695, 786, 1616, 547, 1331, 513, 5758, 540, 519, 1788, 543, 519, 1788, 3853, 563, 2252, 646, 941, 1603, 513, 6101, 1867, 585, 1010, 7817, 267, 646, 1522, 979, 883, 930, 1469, 1934, 267, 855, 2094, 621, 781, 606, 4835, 1867, 267, 543, 646, 7959, 8746, 602, 3025, 17358, 519, 1788, 543, 3853, 267, 646, 786, 4440, 1118, 713, 5758, 5618, 267, 5310, 1256, 1175, 513, 7008, 540, 5220, 269, 4518, 7388, 1540, 634, 1412, 2889, 28698, 262, 538, 1412, 2889, 28698, 1867, 262, 568, 1018, 960, 814, 1044, 6192, 269, 2334, 568, 267, 1018, 3356, 814, 1044, 1500, 865, 2484, 593, 519, 1788, 563, 297, 517, 1695, 786, 1616, 547, 1331, 782, 519, 2319, 781, 18517, 865, 2484, 267, 547, 1397, 875, 1454, 3356, 789, 4312, 1500, 269, 1261, 3513, 1616, 547, 1118, 519, 1592, 1808, 269, 1280, 1383, 267, 646, 1522, 1448, 856, 602, 519, 2681, 10325, 543, 2596, 1374, 540, 519, 3896, 6712, 540, 519, 1788, 723, 1312, 1044, 6192, 269, 5192, 1569, 1981, 6954, 585, 476, 1789, 2395, 267, 1175, 1711, 606, 2272, 269, 769, 1840, 267, 13744, 1695, 786, 1616, 547, 6542, 602, 3025, 568, 1869, 2324, 2182, 593, 519, 1788, 563, 3891, 3513, 1616, 547, 1331, 513, 1592, 540, 960, 3688, 602, 723, 1044, 3323, 855, 711, 2943, 8737, 269, 1280, 1383, 267, 646, 666, 1592, 519, 4890, 8193, 540, 519, 3896, 607, 1945, 602, 519, 23501, 616, 2324, 593, 1631, 855, 10093, 1405, 8737, 269, 1280, 960, 538, 3356, 267, 13744, 1695, 786, 1616, 547, 1331, 16977, 7389, 676, 799, 519, 960, 786, 581, 8737, 269, 4518, 547, 581, 29035, 13744, 1695, 786, 1616, 547, 849, 1118, 513, 1592, 540, 960, 602, 519, 2319, 18387, 1405, 3323, 593, 267, 2059, 609, 519, 16977, 7389, 519, 960, 786, 581, 3323, 543, 8737, 563, 2690, 1383, 267, 13744, 1695, 1522, 1448, 856, 602, 267, 1247, 513, 2603, 540, 3356, 814, 1044, 1500, 593, 519, 3896, 6712, 540, 519, 1788, 267, 789, 10093, 1405, 3323, 8888, 519, 813, 602, 786, 979, 2059, 609, 519, 3896, 269, 13744, 1695, 1522, 1616, 547, 1331, 960, 6192, 267, 960, 538, 3356, 267, 543, 960, 547, 581, 3323, 538, 513, 5750, 602, 8638, 519, 1808, 3688, 267, 799, 2319, 4759, 610, 2818, 616, 8655, 547, 602, 6221, 267, 543, 519, 4266, 540, 12032, 563, 1607, 568, 513, 2241, 267, 6896, 267, 543, 3810, 3308, 1259, 547, 2671, 519, 1344, 269, 10390, 7053, 267, 13744, 1695, 786, 1616, 547, 1331, 606, 2949, 813, 26150, 540, 875, 1919, 616, 2469, 267, 1519, 1022, 2042, 609, 519, 1788, 267, 2059, 609, 606, 16977, 4266, 585, 519, 3003, 1788, 547, 581, 8737, 563, 26139, 267, 713, 666, 581, 5266, 5618, 269, 1261, 1223, 3274, 2328, 1945, 899, 267, 1412, 763, 1788, 5170, 547, 3356, 693, 938, 9709, 10605, 267, 543, 621, 5526, 602, 621, 786, 581, 6192, 593, 8430, 269, 1677, 12260, 713, 3992, 596, 1590, 581, 513, 5530, 269, 9894, 596, 917, 2507, 1284, 723, 936, 2852, 6030, 602, 5965, 596, 547, 7118, 5491, 676, 981, 602, 568, 7608, 676, 936, 476, 272, 267, 12621, 543, 9945, 563, 2791, 666, 1449, 856, 540, 519, 1101, 1079, 1296, 540, 2852, 543, 4688, 5215, 1055, 707, 4110, 269, 25175, 666, 7118, 5491, 8386, 7721, 600, 7488, 540, 2085, 610, 2069, 1377, 269, 1677, 1451, 811, 267, 3643, 938, 2423, 940, 15894, 8525, 269, 3502, 2386, 1018, 2852, 596, 1616, 547, 7390, 2943, 286, 634, 7044, 593, 5530, 269, 4841, 538, 2228, 1565, 2175, 5340, 1732, 982, 1346, 8391, 3068, 3562, 19904, 6044, 269, 1635, 2870, 606, 2272, 267, 596, 3858, 547, 5530, 563, 18439, 936, 476, 275, 267, 3381, 6030, 269, 4855, 513, 4110, 602, 13352, 707, 3853, 269, 1215, 547, 3503, 18776, 18614, 281, 13772, 713, 3992, 547, 1265, 856, 875, 547, 2328, 513, 3356, 1867, 269, 8347, 621, 1981, 6954, 585, 476, 1789, 2395, 269, 1323, 5470, 7018, 3843, 547, 4452, 713, 3381, 269, 8347, 24253, 519, 2985, 267, 610, 3346, 6075, 1489, 269, 1411, 1590, 1711, 606, 2272, 547, 3136, 8384, 269, 19193, 547, 2070, 713, 3992, 3657, 596, 513, 2875, 610, 513, 4116, 888, 296, 993, 513, 2875, 594, 993, 513, 4116, 269, 1548, 3610, 616 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5470, 899, 454, 258, 713, 568, 519, 5470, 476, 16522, 1314, 13286, 281, 6397, 661, 29996, 1247, 16163, 532, 454, 258, 952, 713, 1599, 568, 711, 3257, 4376, 1175, 10426, 519, 20438, 1210, 10426, 899, 2630, 3097, 476, 1780, 1948, 321, 21392, 1259, 547, 1832, 19559, 821, 6540, 258, 18521, 1901, 10886, 10778, 258, 476, 2411, 955, 8894, 258, 1422, 333, 267, 1422, 339, 267, 1422, 337, 267, 1422, 321, 2073, 1422, 3299, 1422, 2580, 8607, 267, 1422, 341, 454, 2745, 2891, 31435, 1422, 333, 2622, 5602, 2745, 2891, 31435, 1422, 339, 2622, 5602, 258, 1820, 2891, 31435, 1422, 337, 2622, 5602, 258, 1820, 2891, 31435, 1422, 321, 2622, 5602, 2745, 2891, 31435, 1422, 257, 291, 4026, 320, 27205, 1422, 257, 2622, 5602, 2745, 3488, 31435, 834, 291, 4026, 320, 27205, 257, 2622, 5073, 2745, 3488, 5257, 31435, 1412, 291, 4026, 320, 27205, 262, 543, 834, 24030, 257, 2622, 5257, 5073, 2745, 2891, 3269, 31435, 1412, 291, 4026, 320, 27205, 262, 543, 834, 24030, 257, 2622, 3269, 5602, 2745, 2891, 31435, 1422, 262, 291, 4026, 320, 27205, 32075, 543, 1422, 257, 24030, 315, 257, 2622, 5602, 258, 284, 1366, 734, 4790, 1218, 1366, 268, 3586, 1505, 568, 711, 10858, 538, 9226, 692, 18411, 23330, 2209, 15311, 15311, 15311, 15311, 15311, 15311, 912, 6635, 10379, 454, 7758, 1049, 610, 6476, 3097, 8421, 673, 454, 4226, 3772, 454, 10112, 9892, 454, 22492, 454, 2411, 454, 2260, 6989, 6498, 7358, 1807, 454, 1262, 5890, 9426, 7358, 1807, 610, 1379, 7358, 1807, 19638, 19638, 7531, 18257, 7531, 258, 952, 1312, 2418, 616, 21850, 1287, 1267, 786, 1205, 21850, 454, 258, 952, 835, 568, 4469, 13331, 1287, 786, 1205, 8382, 4469, 13331, 454, 320, 284, 1015, 269, 276, 454, 321, 284, 273, 454, 2745, 2891, 320, 17070, 2580, 320, 17070, 12467, 2745, 2891, 320, 1532, 2580, 320, 1532, 12467, 2745, 2891, 320, 265, 321, 2580, 320, 265, 321, 12467, 2745, 2891, 320, 11486, 2580, 320, 11486, 12467, 2745, 2891, 320, 260, 321, 2580, 320, 260, 321, 12467, 2745, 2891, 320, 2260, 321, 2580, 320, 2260, 321, 12467, 2745, 2891, 320, 1262, 321, 2580, 320, 1262, 321, 12467, 2745, 2891, 320, 11486, 2580, 1015, 270, 274, 12467, 2745, 2891, 320, 2260, 321, 2580, 1015, 2260, 274, 3738, 258, 621, 786, 723, 21850, 1871, 1152, 22322, 258, 14956, 805, 832, 585, 21642, 19304, 2020, 2745, 2891, 2745, 257, 22065, 274, 10807, 258, 952, 596, 616, 3843, 547, 946, 899, 713, 1412, 2745, 262, 266, 476, 274, 579, 786, 1205, 5470, 1317, 9226, 5701, 476, 274, 607, 513, 703, 3097, 2745, 3488, 2745, 262, 266, 1193, 263, 274, 264, 12467, 258, 21642, 2494, 559, 335, 1637, 7358, 1807, 692, 2745, 3488, 2745, 262, 2608, 476, 274, 264, 258, 5890, 11228, 7358, 1807, 3097, 258, 1820, 3488, 2745, 262, 2608, 1412, 274, 10807, 979, 547, 1205, 5470, 835, 2415, 1058, 581, 703, 543, 476, 273, 526, 1590, 581, 5899, 454, 258, 1820, 3488, 2745, 262, 2608, 476, 274, 269, 271, 264, 258, 713, 568, 849, 711, 10858, 1317, 540, 4469, 334, 908, 1100, 563, 2745, 263, 273, 2608, 1412, 2745, 262, 12467, 2745, 263, 1015, 1262, 910, 273, 994, 2745, 9230, 1015, 266, 273, 329, 264, 1262, 630, 1015, 266, 274, 329, 4917, 258, 1820, 263, 1015, 270, 271, 264, 567, 5470, 454, 258, 1820, 263, 1015, 260, 271, 264, 476, 2144, 19172, 454, 2745, 263, 1015, 1262, 476, 271, 264, 258, 476, 272, 7531, 258, 815, 7529, 4499, 2525, 9824, 1049, 7358, 2209, 7529, 4499, 2525, 454, 2745, 2891, 320, 283, 321, 2580, 513, 283, 321, 994, 2745, 2891, 320, 27045, 321, 2580, 513, 27045, 321, 994, 2745, 2891, 320, 285, 321, 2580, 320, 285, 321, 994, 2745, 2891, 320, 285, 284, 321, 2580, 320, 285, 284, 321, 9239, 320, 18989, 454, 321, 25716, 7531, 2745, 2891, 320, 283, 321, 2580, 513, 283, 321, 994, 2745, 2891, 320, 27045, 321, 2580, 513, 27045, 321, 994, 2745, 2891, 320, 285, 321, 2580, 320, 285, 321, 994, 2745, 2891, 320, 285, 284, 321, 2580, 320, 285, 284, 321, 9239, 320, 284, 1015, 454, 321, 284, 736, 692, 604, 5416, 285, 321, 2187, 476, 1820, 2891, 288, 568, 3152, 982, 645, 5602, 12828, 912, 476, 1820, 2891, 288, 568, 711, 3152, 982, 645, 5602, 258, 1100, 4642, 1871, 568, 3020, 543, 4642, 568, 7301, 454, 476, 1820, 3488, 320, 262, 2525, 9032, 264, 258, 607, 857, 328, 1871, 849, 676, 9949, 621, 1491, 607, 899, 29273, 9366, 454, 476, 1820, 263, 1015, 2525, 274, 266, 278, 2525, 273, 265, 276, 2525, 276, 266, 276, 994, 476, 1820, 9230, 1015, 266, 273, 329, 264, 2525, 263, 1015, 266, 273, 329, 4917, 476, 1820, 9230, 1015, 266, 273, 329, 264, 2525, 262, 323, 4026, 320, 5073, 476, 1820, 263, 1015, 2525, 1015, 269, 271, 994, 476, 1820, 263, 1015, 543, 476, 736, 264, 258, 2473, 543, 962, 952, 1535, 6218, 547, 7301, 1287, 2132, 1535, 824, 342, 529, 342, 2132, 586, 454, 476, 1820, 263, 271, 543, 476, 736, 994, 476, 1820, 263, 272, 543, 1412, 323, 4026, 320, 5073, 476, 1820, 263, 271, 543, 1412, 323, 4026, 320, 5073, 476, 1948, 2473, 610, 586, 952, 1535, 6218, 547, 6936, 1287, 16849, 1535, 6382, 2132, 586, 454, 476, 1820, 263, 1015, 610, 476, 736, 994, 476, 1820, 263, 271, 610, 476, 736, 994, 476, 1820, 263, 271, 610, 476, 271, 2020, 476, 1948, 3502, 2473, 15311, 713, 11346, 2141, 2132, 1630, 18978, 1871, 454, 2745, 263, 2254, 476, 1015, 994, 258, 8900, 5569, 568, 5701, 607, 8771, 454, 2745, 263, 2254, 1412, 5073, 2745, 263, 271, 610, 6936, 994, 2745, 263, 1015, 610, 476, 1015, 270, 271, 994, 258, 1820, 263, 271, 610, 476, 1015, 270, 271, 264, 5470, 692, 258, 543, 2525, 27784, 952, 1312, 2415, 476, 616, 3020, 1287, 1152, 3020, 454, 258, 610, 2525, 27784, 952, 693, 548, 770, 835, 2415, 568, 3020, 1287, 3020, 454, 258, 711, 815, 2525, 285, 3097, 258, 9779, 310, 1047, 7358, 1807, 454, 258, 476, 5785, 8894, 258, 1299, 1923, 9745, 9625, 24177, 3436, 11417, 258, 10858, 585, 703, 543, 476, 1630, 18978, 454, 258, 1299, 952, 1312, 11353, 616, 476, 272, 1287, 1152, 476, 272, 824, 342, 529, 933, 476, 271, 454, 258, 1923, 952, 693, 548, 770, 11353, 616, 476, 272, 1287, 1152, 476, 272, 824, 342, 529, 933, 476, 271, 454, 258, 9745, 1535, 11399, 2652, 285, 952, 1312, 7440, 616, 8428, 1287, 476, 272, 6382, 476, 271, 454, 258, 9625, 476, 3787, 8797, 9148, 11346, 476, 272, 4499, 285, 271, 543, 476, 271, 4499, 2525, 285, 272, 454, 258, 24177, 3787, 8797, 2451, 6521, 454, 258, 23645, 3787, 3772, 1318, 6521, 454, 258, 476, 275, 1299, 476, 276, 2525, 27784, 476, 1911, 476, 610, 476, 6200, 2525, 285, 476, 1911, 2525, 27784, 275, 20735, 454, 258, 476, 275, 1923, 476, 276, 2525, 27784, 476, 1911, 476, 543, 476, 6200, 2525, 285, 476, 6200, 2525, 27784, 276, 20735, 454, 258, 476, 476, 275, 9745, 476, 276, 2525, 27784, 476, 1911, 476, 1535, 11399, 476, 6200, 2525, 285, 476, 9826, 2525, 27784, 272, 20735, 454, 258, 9625, 275, 2525, 285, 2525, 27784, 476, 1911, 4499, 24257, 18733, 2525, 284, 9563, 9563, 274, 20735, 8587, 9625, 1797, 910, 275, 454, 2745, 263, 275, 1299, 476, 276, 994, 2745, 263, 275, 1923, 476, 276, 994, 2745, 263, 275, 9745, 476, 276, 994, 2745, 263, 349, 476, 275, 2020, 258, 476, 272, 781, 1264, 906, 20735, 476, 273, 1412, 338, 1264, 906, 786, 1205, 7311, 3097, 2745, 263, 349, 6936, 264, 258, 1482, 607, 9625, 272, 8528, 258, 24177, 2451, 6521, 454, 258, 23645, 1318, 29196, 692, 2745, 263, 1015, 28843, 273, 994, 2745, 8987, 1015, 9563, 273, 994, 258, 7084, 1566, 13045, 343, 284, 1015, 454, 343, 23785, 1015, 454, 258, 1820, 3287, 994, 258, 1820, 263, 10030, 343, 994, 258, 512, 1716, 776, 11346, 454, 258, 533, 14352, 1015, 285, 276, 21663, 262, 31435, 9166, 834, 342, 3994, 4840, 258, 1820, 9638, 994, 258, 513, 25507, 9272, 2891, 11767, 519, 3689, 7089, 15311, 281, 27363, 258, 536, 25507, 9272, 2891, 11767, 519, 2034, 7089, 15311, 281, 27363, 258, 524, 25507, 9272, 2891, 11767, 519, 12059, 7089, 15311, 281, 27363, 258, 3193, 30381, 952, 513, 285, 321, 543, 513, 285, 322, 3116, 536, 952, 536, 285, 322, 3116, 524, 454, 258, 1820, 2891, 16655, 10025, 15311, 2580, 3193, 994, 18411, 320, 25507, 9272, 2891, 11767, 519, 7089, 15311, 281, 27363, 321, 25507, 9272, 2891, 11767, 519, 5822, 10606, 15311, 281, 27363, 2745, 2891, 13828, 616, 11224, 257, 952, 513, 2525, 321, 3116, 834, 5575, 1297, 568, 3152, 982, 2034, 257, 952, 513, 285, 321, 3116, 834, 5575, 7089, 568, 4130, 982, 5822, 7089, 5602, 18257, 692, 258, 2433, 15311, 15311, 15311, 15311, 15311, 15311, 281, 22492, 7358, 2209, 2433, 15311, 15311, 15311, 15311, 15311, 15311, 15311, 15311, 2008, 258, 476, 24801, 13430, 258, 476, 272, 269, 14740, 476, 7358, 1807, 4499, 27784, 17372, 6476, 3483, 630, 8269, 1716, 806, 24438, 994, 258, 476, 273, 269, 16840, 1222, 7358, 1807, 4499, 285, 692, 320, 284, 1015, 454, 321, 284, 1015, 454, 2745, 5416, 568, 536, 264, 258, 476, 272, 563, 2745, 5416, 568, 711, 536, 264, 3097, 320, 6889, 323, 4026, 320, 4840, 321, 6889, 323, 4026, 320, 4840, 2745, 263, 573, 5416, 4917, 2745, 263, 573, 6357, 4917, 2745, 5416, 568, 536, 994, 320, 17342, 1015, 267, 736, 267, 1789, 2639, 321, 17342, 1015, 267, 736, 267, 1789, 2639, 2745, 263, 573, 5416, 4917, 2745, 263, 573, 6357, 4917, 2745, 5416, 568, 536, 264, 258, 2232, 18948, 14740, 476, 7358, 1807, 454, 2745, 5416, 2525, 321, 264, 258, 1543, 6476, 476, 14740, 476, 7358, 1807, 692, 258, 1341, 10030, 10030, 10030, 10030, 10030, 300, 20047, 1222, 11346, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 454, 258, 538, 2073, 711, 538, 454, 4289, 272, 17342, 1015, 267, 736, 267, 1789, 267, 2412, 2639, 2745, 263, 1015, 538, 1592, 272, 994, 2745, 263, 2568, 711, 538, 1592, 272, 2020, 306, 6889, 31435, 713, 568, 986, 577, 527, 8206, 30314, 8627, 4840, 2745, 2891, 31435, 257, 538, 590, 994, 2745, 2891, 529, 257, 538, 590, 994, 2745, 2891, 834, 538, 590, 994, 2745, 2891, 515, 257, 711, 476, 538, 590, 994, 2745, 2891, 305, 257, 538, 590, 2020, 258, 1341, 10030, 10030, 10030, 266, 23330, 1807, 9551, 1878, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 454, 2745, 263, 1015, 266, 274, 265, 273, 23444, 1015, 266, 3199, 11723, 258, 20465, 24324, 454, 258, 2878, 5890, 11228, 454, 258, 9625, 910, 796, 776, 3097, 258, 2608, 1315, 4939, 476, 12262, 8528, 19638, 692 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 14298, 263, 272, 267, 272, 264, 1109, 414, 488, 480, 1109, 20784, 263, 273, 264, 1107, 540, 519, 32299, 540, 5409, 26382, 32186, 538, 519, 2027, 5276, 1895, 540, 21810, 8497, 1858, 543, 10066, 630, 320, 4320, 1106, 1040, 769, 519, 1893, 540, 631, 7238, 321, 3780, 21810, 267, 519, 25837, 14759, 616, 519, 5409, 26382, 2609, 538, 519, 8760, 540, 2609, 780, 1012, 9085, 692, 288, 25837, 11837, 7575, 835, 13711, 5409, 26382, 5823, 547, 1776, 609, 519, 1482, 1858, 563, 2005, 849, 17065, 8240, 4544, 543, 3039, 25965, 780, 2304, 2038, 6284, 540, 25837, 15340, 729, 519, 476, 13932, 278, 6602, 676, 6182, 2946, 2998, 790, 632, 12142, 13305, 514, 1417, 602, 519, 1858, 896, 513, 5409, 19096, 630, 935, 4740, 569, 267, 519, 7455, 2016, 676, 27976, 815, 737, 264, 568, 519, 1482, 936, 1496, 320, 267, 536, 316, 607, 936, 1496, 322, 267, 546, 316, 950, 513, 11486, 815, 524, 7933, 1547, 901, 11091, 540, 2127, 896, 513, 5409, 19096, 609, 5409, 26382, 10047, 267, 729, 513, 1883, 1900, 538, 519, 1646, 540, 519, 30233, 269, 31131, 1436, 540, 519, 25837, 1895, 2838, 519, 3069, 540, 2516, 267, 799, 729, 711, 2919, 2394, 519, 476, 866, 628, 2540, 780, 19365, 3751, 18484, 1849, 858, 867, 729, 519, 2278, 540, 5871, 23281, 543, 519, 1401, 716, 7070, 267, 3370, 538, 476, 6642, 276, 269, 769, 519, 3791, 3184, 593, 10829, 640, 646, 11828, 1858, 538, 1614, 6810, 269, 1849, 858, 867, 3096, 519, 2165, 834, 560, 4958, 577, 257, 585, 3172, 2305, 543, 519, 2165, 834, 338, 638, 2465, 2763, 257, 585, 19432, 269, 14171, 513, 2016, 4009, 1858, 607, 4909, 267, 1849, 858, 867, 12211, 824, 2127, 676, 12701, 543, 25837, 269, 1261, 10953, 713, 11810, 547, 519, 1448, 540, 20515, 519, 1840, 540, 8454, 538, 891, 2474, 538, 519, 2034, 3296, 269, 634, 3791, 3296, 568, 7255, 609, 19852, 11837, 607, 1858, 25535, 6326, 780, 1103, 476, 3422, 276, 681, 2378, 6130, 3203, 5414, 7396, 519, 25837, 11837, 607, 513, 11718, 540, 1544, 541, 3413, 710, 544, 1952, 902, 538, 1010, 1433, 12430, 16387, 630, 335, 476, 11463, 6393, 763, 7242, 540, 28540, 6412, 525, 568, 5532, 609, 713, 11837, 538, 513, 476, 3422, 278, 3872, 630, 306, 5960, 294, 264, 8313, 1384, 16449, 519, 5276, 14759, 267, 649, 723, 2808, 10486, 267, 799, 8190, 12753, 540, 9883, 267, 855, 723, 711, 20109, 2390, 519, 811, 29737, 8677, 267, 971, 607, 519, 28540, 745, 4614, 534, 12701, 630, 6518, 2242, 513, 5858, 883, 606, 31753, 540, 519, 1482, 1858, 1916, 290, 2135, 2678, 1299, 13983, 12688, 267, 6032, 269, 476, 1911, 267, 476, 6200, 780, 16920, 1549, 1185, 1044, 6537, 547, 713, 7077, 11837, 676, 3525, 523, 990, 543, 5244, 327, 1580, 14150, 538, 741, 6739, 1433, 540, 476, 3422, 272, 799, 729, 12261, 538, 476, 3422, 278, 676, 7812, 645, 269, 623, 269, 6215, 831, 269, 898, 3769, 513, 6516, 6029, 519, 17065, 4506, 540, 513, 5858, 883, 606, 31753, 780, 310, 518, 1676, 13983, 889, 540, 519, 2160, 540, 17842, 2882, 834, 335, 12065, 334, 7232, 16090, 22470, 10047, 257, 538, 519, 3184, 593, 21136, 21536, 710, 541, 3252, 540, 1010, 1257, 593, 5276, 7223, 269, 901, 2126, 538, 476, 3422, 278, 2882, 538, 2110, 1931, 1312, 519, 15497, 1106, 543, 519, 1106, 609, 5609, 327, 543, 5430, 327, 780, 763, 7527, 27688, 2578, 5300, 24545, 3370, 661, 10611, 269, 14529, 25612, 337, 331, 781, 11724, 725, 540, 519, 22784, 660, 345, 1895, 543, 5741, 633, 16387, 538, 476, 3422, 280, 269, 634, 25837, 11837, 267, 2854, 607, 513, 476, 273, 6398, 476, 273, 15497, 5119, 267, 14529, 25612, 337, 331, 7125, 513, 834, 30104, 26382, 17684, 6231, 1103, 1010, 476, 1960, 280, 1395, 1748, 18190, 12833, 926, 656, 7869, 267, 8834, 9986, 591, 11828, 23834, 263, 273, 267, 305, 264, 543, 7125, 519, 1895, 540, 25837, 544, 1952, 902, 676, 519, 2012, 519, 568, 984, 541, 545, 32299, 269, 1717, 267, 538, 1010, 476, 2735, 277, 1433, 10241, 540, 17389, 20492, 547, 27018, 12307, 630, 335, 269, 1109, 14096, 264, 646, 3096, 519, 2165, 834, 30104, 26382, 10047, 257, 585, 606, 6697, 11837, 780, 1103, 476, 1220, 275, 519, 1977, 19556, 5980, 3370, 26306, 20492, 585, 30488, 676, 590, 17679, 269, 13660, 30795, 514, 543, 645, 6185, 269, 4258, 15318, 732, 341, 20391, 799, 19528, 5409, 26382, 10047, 593, 2985, 476, 18597, 269, 1703, 519, 9936, 678, 568, 2016, 607, 1696, 543, 519, 7004, 1895, 540, 25837, 544, 1952, 902, 568, 1031, 547, 9414, 519, 23223, 766, 540, 513, 11186, 3830, 896, 519, 1895, 5106, 780, 1012, 10241, 692, 1103, 4974, 5276, 7223, 972, 616, 519, 17033, 7493, 3156, 971, 607, 14745, 540, 519, 13737, 17032, 17883, 610, 538, 519, 1271, 1909, 540, 519, 25837, 11837, 538, 519, 2497, 540, 476, 273, 6398, 476, 273, 1483, 14290, 269, 1452, 3156, 616, 10169, 1025, 663, 3379, 547, 1079, 2168, 543, 513, 10952, 3498, 780, 2162, 4856, 1676, 2095, 692, 1103, 5714, 6384, 835, 540, 519, 4909, 20517, 540, 606, 22424, 816, 1043, 2095, 3322, 536, 604, 584, 322, 566, 540, 513, 2095, 4881, 909, 1996, 606, 1799, 990, 762, 3774, 269, 11724, 532, 519, 3774, 676, 519, 7852, 586, 815, 476, 271, 543, 2921, 519, 9936, 678, 815, 1163, 6025, 264, 1141, 512, 568, 942, 267, 1287, 519, 25837, 11837, 609, 9936, 678, 4294, 547, 606, 3355, 5714, 1533, 7472, 513, 2095, 609, 536, 604, 584, 322, 566, 2451, 543, 1318, 540, 519, 7852, 1535, 815, 476, 271, 269, 634, 1482, 2203, 3947, 5714, 19427, 950, 942, 568, 2196, 18807, 269, 11569, 267, 519, 1858, 540, 1022, 5409, 26382, 5823, 568, 23223, 656, 896, 17065, 4506, 780, 2690, 1776, 1935, 547, 513, 2095, 609, 5409, 26382, 6908, 6050, 267, 1294, 519, 2376, 1761, 2095, 267, 3296, 834, 20175, 1876, 609, 562, 815, 476, 273, 6231, 1103, 476, 2735, 280, 12228, 3626, 4330, 519, 834, 15035, 568, 5255, 7595, 1079, 8820, 2095, 257, 607, 692, 259, 341, 318, 272, 815, 717, 1535, 318, 273, 1422, 15153, 642, 318, 273, 815, 918, 717, 1535, 318, 272, 6911, 3602, 918, 6013, 538, 519, 8884, 1496, 6629, 272, 267, 476, 272, 4940, 634, 6908, 6050, 1246, 519, 14258, 692, 259, 343, 318, 273, 317, 273, 910, 918, 1535, 318, 272, 317, 273, 815, 1422, 9507, 346, 6247, 656, 10592, 810, 2942, 918, 14687, 547, 606, 31753, 543, 2318, 918, 547, 513, 5409, 19096, 267, 609, 519, 14328, 2013, 540, 519, 25837, 11837, 7222, 547, 918, 815, 476, 272, 780, 1805, 29420, 543, 670, 657, 16211, 630, 1220, 275, 264, 9307, 741, 1935, 547, 7944, 2095, 607, 5205, 1384, 933, 2303, 606, 4244, 19862, 547, 2272, 585, 519, 7944, 6438, 9511, 267, 1759, 593, 519, 946, 540, 5409, 26382, 10974, 267, 799, 2636, 8101, 10763, 3356, 2509, 8990, 540, 519, 2095, 538, 513, 17934, 879, 8473, 543, 7923, 5277, 16060, 269, 1284, 2015, 513, 3148, 540, 2095, 8108, 606, 5086, 540, 12631, 270, 273, 543, 1642, 574, 1243, 593, 519, 2451, 543, 5377, 676, 15340, 14742, 780, 1805, 29420, 543, 670, 657, 16211, 1287, 11291, 670, 14389, 269, 631, 4752, 3430, 781, 476, 3422, 275, 1957, 834, 309, 4593, 748, 543, 5706, 633, 1196, 323, 625, 2282, 513, 8325, 7944, 257, 630, 22711, 540, 29079, 23317, 476, 1240, 281, 272, 1700, 1240, 1040, 631, 4752, 3430, 15109, 834, 6503, 538, 513, 7944, 1063, 14461, 6302, 267, 13251, 676, 606, 17062, 19717, 693, 513, 1804, 3845, 1701, 4340, 547, 14351, 518, 543, 670, 657, 16211, 10484, 2690, 513, 1863, 5714, 538, 513, 4009, 7944, 267, 631, 4752, 3430, 781, 630, 656, 529, 2096, 13240, 264, 6908, 1599, 3267, 1496, 785, 545, 919, 316, 602, 5409, 26382, 10974, 616, 8197, 519, 2067, 3903, 547, 4766, 891, 8928, 780, 2162, 4039, 520, 643, 2065, 838, 659, 8135, 692, 15675, 630, 271, 267, 271, 264, 585, 513, 834, 1877, 543, 1631, 257, 538, 513, 838, 659, 8135, 269, 8752, 32689, 2451, 543, 1318, 998, 713, 3844, 2680, 13475, 1079, 3515, 538, 519, 838, 659, 8135, 267, 3515, 602, 666, 581, 1031, 547, 2285, 10974, 547, 2621, 2476, 689, 630, 271, 267, 271, 1040, 3004, 915, 1559, 540, 14758, 6991, 3950, 6251, 547, 519, 3312, 15415, 630, 271, 25722, 1040, 7102, 971, 6991, 666, 581, 9763, 607, 513, 4642, 6991, 896, 513, 25837, 11837, 1572, 513, 22784, 660, 345, 5818, 269, 901, 5813, 5205, 689, 513, 1353, 540, 8237, 10687, 14658, 1297, 3818, 4124, 543, 519, 834, 10972, 21192, 4493, 257, 799, 14687, 547, 519, 6292, 540, 1769, 3515, 269, 4813, 958, 267, 513, 25837, 28933, 519, 5409, 26382, 11973, 6829, 538, 519, 1106, 27976, 282, 538, 513, 1114, 11282, 1062, 269, 901, 3498, 538, 519, 3069, 540, 25536, 729, 7074, 538, 476, 4489, 273, 676, 14355, 543, 11066, 630, 5408, 3723, 16694, 533, 269, 1109, 25002, 540, 4704, 1070, 676, 654, 518, 1676, 13983, 889, 538, 519, 476, 3422, 271, 338, 267, 543, 538, 476, 2735, 276, 676, 8402, 918, 879, 742, 2006, 269, 5015, 267, 16423, 32184, 681, 785, 2401, 267, 538, 1010, 2442, 1837, 593, 25536, 267, 1031, 519, 25837, 11837, 1106, 540, 22784, 660, 345, 14759, 538, 1010, 17431, 540, 741, 8984, 3959, 630, 5408, 3830, 476, 3066, 269, 276, 593, 2985, 476, 3393, 540, 519, 476, 3422, 280, 7160, 267, 610, 3830, 476, 273, 269, 1704, 593, 2985, 476, 4391, 540, 519, 476, 3192, 278, 7160, 267, 610, 3830, 476, 273, 269, 1626, 593, 2985, 476, 7367, 540, 519, 476, 1220, 272, 7160, 6393, 2162, 15167, 547, 16637, 550, 1023, 692, 763, 1858, 25535, 6326, 3959, 540, 25837, 11837, 814, 606, 3498, 538, 4259, 519, 5748, 540, 519, 16637, 1581, 3252, 2067, 30233, 543, 922, 11201, 519, 12825, 1599, 1384, 14240, 281, 30359, 5416, 14720, 264, 568, 519, 5409, 26382, 5823, 5833, 609, 3844, 12345, 547, 630, 320, 267, 476, 272, 21669, 264, 543, 630, 321, 267, 476, 272, 11486, 6393, 299, 655, 2742, 281, 1403, 27652, 815, 740, 267, 1287, 972, 568, 513, 25837, 11837, 602, 7575, 519, 5823, 5416, 14720, 264, 547, 5823, 6262, 28504, 6393, 27893, 281, 6875, 9936, 678, 815, 524, 21669, 865, 602, 630, 340, 267, 341, 264, 815, 630, 337, 343, 267, 586, 29265, 264, 3217, 630, 320, 267, 476, 272, 21669, 264, 547, 630, 322, 267, 476, 272, 11305, 264, 543, 630, 321, 267, 476, 272, 11486, 264, 547, 630, 323, 267, 476, 272, 7933, 6393, 31628, 332, 630, 294, 2958, 334, 790, 632, 12142, 13305, 514, 1417, 476, 13932, 278, 264, 1403, 27652, 815, 740, 267, 1287, 519, 9076, 1155, 540, 519, 5409, 19096, 27976, 815, 476, 272, 1996, 519, 29297, 1774, 814, 3160, 2127, 1063, 513, 543, 536, 3379, 547, 1063, 524, 543, 546, 780, 27893, 281, 1323, 4661, 4946, 543, 18946, 12730, 540, 1858, 476, 16006, 267, 835, 6906, 1373, 2715, 263, 271, 267, 271, 1070, 630, 271, 267, 272, 1070, 630, 272, 267, 272, 264, 9574, 2982, 519, 5409, 26382, 5823, 1858, 568, 3160, 547, 519, 1858, 2059, 519, 29297, 1774, 269, 634, 11532, 1287, 5205, 689, 519, 19790, 2742, 780, 31628, 332, 630, 2704, 874, 2945, 21293, 632, 7203, 14505, 476, 13932, 280, 264, 1306, 1858, 6027, 1996, 519, 29297, 1774, 4679, 538, 12980, 11144, 267, 519, 20327, 2390, 519, 29297, 1774, 2333, 538, 12166, 5311, 269, 4935, 519, 2127, 1106, 17969, 916, 540, 519, 29297, 1774, 4994, 780, 2690, 3236, 267, 585, 513, 3044, 2990, 5086, 799, 8255, 689, 630, 272, 267, 1109, 272, 264, 547, 630, 343, 267, 1109, 272, 24474, 1070, 835, 949, 2307, 834, 2691, 568, 519, 5409, 26382, 5086, 3160, 547, 835, 8119, 634, 2626, 568, 519, 16637, 1581, 1297, 1535, 815, 552, 780, 288, 25837, 609, 678, 815, 552, 7575, 519, 1770, 5086, 547, 835, 1063, 630, 324, 267, 1109, 272, 27160, 264, 543, 630, 2465, 267, 1109, 272, 270, 2465, 264, 799, 5705, 1742, 513, 5823, 849, 540, 1858, 835, 269, 634, 12166, 11144, 692, 324, 267, 552, 273, 267, 552, 274, 267, 10371, 1421, 679, 267, 27250, 14585, 4046, 4637, 547, 519, 29297, 5328, 4994, 6913, 609, 1142, 2040, 540, 2127, 692, 272, 267, 273, 267, 274, 267, 10371, 1421, 562, 267, 13718, 6518, 568, 513, 1486, 334, 268, 20200, 673, 12980, 11144, 589, 1341, 26998, 1141, 589, 815, 476, 271, 543, 546, 815, 476, 272, 1547 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 8051, 585, 4859, 1058, 581, 2808, 538, 9591, 513, 1761, 1982, 563, 7343, 12037, 22987, 585, 1022, 1982, 1058, 581, 7059, 1996, 519, 991, 585, 8897, 543, 8112, 563, 763, 15875, 7054, 3419, 566, 10588, 814, 19429, 922, 6679, 5618, 538, 513, 2013, 1996, 519, 27062, 4826, 10588, 540, 8828, 4993, 602, 621, 9250, 2063, 1032, 538, 606, 3801, 547, 26699, 519, 6388, 540, 519, 13722, 19438, 667, 3754, 1230, 1154, 1890, 4643, 585, 519, 12548, 5211, 269, 594, 2839, 6499, 547, 1294, 621, 17328, 4310, 2394, 519, 6428, 2023, 7256, 568, 849, 2808, 563, 763, 1079, 581, 1335, 16251, 538, 519, 1158, 540, 5375, 1216, 616, 1327, 6362, 28712, 538, 5480, 936, 519, 1544, 267, 799, 568, 606, 6876, 1500, 1063, 4993, 267, 21600, 543, 14151, 547, 1832, 811, 1216, 538, 8235, 28927, 267, 519, 812, 13402, 10720, 2813, 676, 519, 14208, 1478, 12456, 269, 27819, 476, 2412, 2929, 1004, 7048, 593, 1216, 689, 519, 12548, 5211, 1062, 267, 855, 3395, 3747, 2066, 519, 4639, 543, 513, 8337, 2916, 616, 17116, 519, 1271, 1216, 3118, 7498, 1103, 922, 476, 4343, 22240, 5618, 19429, 593, 5147, 476, 279, 267, 594, 2839, 27192, 8044, 602, 27062, 779, 13170, 540, 519, 667, 3754, 1230, 1154, 1890, 4643, 538, 4728, 476, 1001, 280, 729, 16789, 1317, 621, 1705, 711, 1331, 606, 2825, 2079, 5342, 896, 519, 4993, 7025, 10866, 2920, 269, 594, 2839, 4280, 519, 5480, 547, 3247, 27062, 689, 9117, 593, 922, 1544, 2394, 513, 9460, 304, 288, 2689, 1185, 1044, 6192, 7498, 1103, 513, 3948, 2366, 547, 634, 19164, 6129, 267, 27062, 4937, 15440, 11518, 9445, 918, 697, 1782, 518, 1767, 519, 519, 1079, 1216, 8041, 2907, 12038, 827, 519, 6428, 2023, 7256, 950, 519, 667, 3754, 1230, 1154, 1890, 4643, 729, 2813, 563, 2108, 7628, 602, 19908, 267, 649, 5249, 5702, 609, 594, 2839, 547, 2327, 602, 519, 6876, 814, 1100, 8801, 5222, 593, 519, 6428, 2023, 7256, 267, 607, 519, 1216, 7418, 1500, 547, 8235, 28927, 786, 711, 1860, 519, 2179, 540, 1216, 13576, 883, 519, 4262, 2223, 918, 697, 1782, 518, 1767, 563, 3719, 538, 922, 5480, 25937, 267, 594, 2839, 20402, 519, 2979, 30343, 27062, 779, 9295, 547, 519, 667, 3754, 1230, 1154, 1890, 4643, 267, 6031, 621, 968, 7758, 1221, 593, 8579, 13581, 6361, 11804, 892, 602, 2877, 547, 581, 6594, 2417, 563, 27001, 22853, 547, 519, 1544, 538, 5412, 476, 1001, 279, 543, 4728, 476, 1001, 280, 267, 27062, 1767, 621, 1131, 1491, 936, 1018, 1185, 8385, 1044, 594, 2839, 779, 5539, 547, 1832, 476, 7742, 267, 1822, 23505, 3952, 540, 1216, 538, 8235, 28927, 936, 519, 1101, 1079, 1296, 950, 621, 5555, 8593, 547, 519, 1377, 602, 1131, 9594, 519, 667, 3754, 1230, 1154, 1890, 4643, 269, 901, 729, 513, 968, 338, 5844, 543, 23589, 22576, 892, 689, 4505, 3664, 543, 2759, 594, 2839, 856, 689, 519, 16395, 267, 519, 6917, 1216, 8116, 16957, 538, 922, 5480, 2083, 902, 7498, 763, 3213, 5995, 12848, 9503, 4826, 10588, 267, 519, 6022, 334, 7638, 1372, 7054, 3419, 566, 10588, 538, 645, 569, 1492, 543, 519, 2749, 540, 10261, 956, 616, 849, 7396, 607, 5461, 6105, 593, 519, 5618, 267, 607, 789, 616, 519, 824, 1614, 8041, 1369, 4993, 602, 723, 2924, 547, 31818, 1216, 689, 519, 12548, 5211, 563, 7775, 974, 8615, 1767, 27062, 814, 2394, 5181, 476, 1839, 547, 3758, 922, 3210, 563, 13142, 29487, 568, 15991, 519, 1655, 2262, 547, 4766, 519, 1208, 335, 3724, 669, 889, 267, 513, 3165, 609, 513, 535, 3497, 344, 552, 601, 3068, 795, 25428, 5196, 513, 7328, 8127, 1560, 538, 513, 1259, 602, 5267, 4720, 814, 513, 2631, 540, 9644, 269, 7439, 1705, 13820, 1465, 1628, 513, 10178, 3490, 585, 713, 968, 13700, 1662, 3165, 892, 2066, 922, 2067, 7226, 2429, 519, 12548, 5211, 19438, 269, 1809, 267, 538, 476, 3192, 274, 267, 519, 1208, 335, 3724, 669, 889, 2968, 4583, 676, 10888, 5313, 4027, 896, 519, 29510, 15661, 2920, 563, 12867, 538, 519, 9835, 24258, 1631, 6108, 4374, 693, 513, 942, 267, 1896, 2053, 513, 1032, 267, 5464, 1208, 335, 3724, 669, 889, 267, 799, 814, 1831, 3844, 547, 606, 5117, 2257, 1982, 609, 6286, 585, 6634, 540, 7262, 619, 945, 7048, 593, 12548, 5211, 1216, 7498, 2507, 1492, 1208, 335, 3724, 669, 889, 779, 1995, 568, 19599, 6209, 1631, 267, 607, 922, 5757, 7226, 2620, 538, 519, 11599, 267, 2699, 13702, 666, 27267, 3587, 519, 1641, 540, 1007, 22987, 269, 1715, 16395, 827, 519, 12548, 779, 2104, 2253, 2663, 713, 1032, 538, 513, 1158, 602, 814, 21739, 4957, 2094, 13654, 1216, 11650, 941, 6537, 909, 267, 1394, 950, 519, 5757, 729, 23574, 543, 519, 3003, 16935, 729, 5701, 899, 513, 9649, 3060, 540, 12555, 546, 9662, 563, 3086, 267, 5176, 513, 2540, 1310, 519, 3312, 12548, 5211, 3281, 716, 729, 585, 3022, 267, 5757, 8639, 849, 1265, 2933, 538, 9813, 14099, 607, 789, 2119, 547, 31363, 606, 2025, 2359, 10325, 609, 1007, 19178, 267, 971, 607, 17174, 2924, 267, 2825, 4027, 543, 267, 2523, 267, 2916, 1689, 563, 8072, 763, 26629, 568, 15775, 9540, 518, 19028, 10666, 476, 2412, 2929, 1004, 538, 5722, 2829, 543, 6792, 7048, 593, 519, 12548, 585, 12555, 267, 6704, 543, 1256, 19558, 1077, 269, 4107, 540, 519, 1216, 568, 1031, 538, 6683, 547, 11125, 622, 811, 982, 476, 276, 269, 276, 2929, 14143, 563, 19602, 267, 519, 12548, 568, 16756, 532, 269, 19105, 5757, 8928, 723, 12628, 476, 866, 2600, 936, 519, 2063, 2540, 269, 6168, 3368, 540, 519, 7771, 568, 30199, 593, 2518, 8337, 267, 543, 3744, 1788, 602, 31250, 2916, 1689, 1223, 5176, 17784, 2095, 20214, 676, 519, 2540, 779, 1439, 269, 11531, 267, 16935, 11031, 1616, 547, 7148, 883, 782, 23148, 789, 10093, 1406, 1044, 2111, 547, 946, 1317, 789, 3668, 1797, 547, 4558, 543, 10612, 519, 1216, 563, 4517, 7064, 547, 1382, 32486, 676, 519, 476, 1960, 273, 9835, 24258, 10466, 2920, 267, 519, 12556, 540, 519, 669, 889, 543, 519, 666, 27267, 14498, 616, 2188, 602, 786, 849, 991, 547, 581, 2808, 538, 519, 2943, 3562, 15515, 1606, 3481, 27968, 16395, 269, 11086, 267, 3025, 779, 14126, 827, 9561, 741, 2671, 540, 519, 12548, 5211, 267, 540, 2469, 1753, 609, 14356, 8900, 11369, 1115, 1317, 972, 779, 1175, 711, 2614, 1216, 547, 979, 1472, 7498, 12850, 7126, 281, 589, 667, 1090, 1738, 26647, 24327, 454, 763, 772, 2529, 269, 25181, 4972, 1590, 2253, 21130, 4566, 585, 5883, 519, 5757, 267, 543, 7036, 324, 782, 519, 2829, 602, 7048, 593, 621, 267, 676, 519, 1439, 540, 519, 1032, 896, 519, 12548, 5211, 3955, 574, 13832, 267, 835, 540, 519, 11650, 602, 3313, 875, 1454, 1216, 568, 21248, 585, 1142, 30393, 547, 946, 610, 1020, 563, 12024, 3388, 827, 12548, 5211, 2359, 267, 621, 779, 16155, 1950, 543, 6417, 676, 513, 7184, 31737, 1379, 2497, 5473, 519, 5722, 16935, 2829, 267, 519, 5313, 13163, 540, 1234, 17474, 543, 3964, 3755, 538, 6683, 543, 25772, 602, 723, 8655, 7158, 538, 519, 1899, 547, 519, 838, 580, 582, 1765, 4944, 1824, 1634, 607, 968, 4248, 2924, 3034, 3719, 1256, 519, 4808, 267, 799, 941, 8045, 538, 476, 1220, 278, 267, 723, 15468, 2110, 538, 519, 1007, 267, 5671, 518, 4639, 269, 7831, 1032, 267, 6837, 9516, 513, 6292, 540, 667, 3754, 1230, 1154, 1890, 12697, 267, 8506, 8795, 2157, 540, 5726, 547, 581, 8045, 267, 1533, 8386, 15581, 267, 8164, 1216, 2157, 521, 1678, 1932, 1970, 693, 8235, 18120, 749, 610, 8235, 28927, 267, 519, 575, 514, 768, 748, 4859, 23854, 585, 12548, 5211, 1216, 269, 5637, 12647, 12628, 547, 6595, 2157, 1369, 3275, 563, 763, 3312, 11741, 18715, 1978, 1216, 12531, 547, 519, 2539, 16935, 2829, 1765, 288, 13252, 267, 21600, 543, 4993, 269, 634, 5580, 16935, 2829, 1765, 310, 344, 4040, 267, 18096, 267, 12548, 543, 1715, 6792, 1765, 7290, 528, 1227, 10093, 1406, 1031, 782, 540, 741, 782, 23148, 855, 1544, 547, 1020, 741, 338, 267, 1932, 269, 1280, 1383, 267, 18096, 568, 10296, 4464, 609, 513, 1617, 756, 11669, 1673, 20683, 1788, 547, 10612, 476, 10436, 267, 1822, 23505, 3952, 28870, 2066, 519, 1533, 547, 519, 3728, 21212, 27623, 851, 540, 519, 1533, 269, 589, 4129, 542, 540, 1216, 689, 519, 18096, 8862, 344, 4040, 8473, 547, 12548, 779, 29245, 13571, 16186, 1765, 330, 2683, 543, 759, 584, 5550, 539, 865, 1082, 2053, 621, 779, 1572, 519, 968, 345, 4861, 773, 18180, 892, 1765, 30524, 946, 476, 4649, 267, 1822, 23505, 3952, 563, 26170, 267, 5576, 28704, 1767, 281, 968, 296, 993, 2965, 1360, 29014, 269, 594, 3494, 602, 2916, 1689, 543, 519, 1483, 991, 547, 556, 10864, 582, 5573, 11650, 723, 4547, 721, 1927, 3034, 763, 1909, 540, 2518, 8337, 607, 513, 4665, 1807, 585, 20460, 1746, 519, 1216, 782, 23148, 4440, 666, 1406, 581, 936, 26061, 269, 634, 3328, 2837, 538, 519, 25763, 814, 2907, 24111, 7466, 607, 3728, 607, 519, 2518, 3328, 543, 2104, 5210, 616, 15810, 547, 2333, 607, 1454, 607, 476, 280, 269, 276, 5232, 18278, 676, 476, 13975, 271, 563, 20458, 1689, 568, 1175, 835, 2601, 667, 776, 331, 966, 580, 559, 267, 1216, 8689, 585, 519, 808, 545, 541, 8759, 28833, 13780, 543, 954, 574, 8689, 540, 519, 14210, 17650, 525, 26844, 267, 568, 5462, 547, 1294, 11031, 693, 519, 3349, 538, 519, 1985, 5180, 540, 16395, 269, 1261, 3081, 519, 476, 3066, 16935, 11031, 723, 10862, 2924, 547, 827, 476, 736, 2600, 540, 519, 12548, 5211, 779, 1216, 855, 941, 2879, 889, 5523, 676, 1699, 3755, 689, 2250, 12548, 5211, 12909, 563, 10527, 1062, 568, 2469, 547, 2149, 3294, 267, 547, 28511, 1018, 621, 2907, 1281, 1317, 621, 2640, 1346, 945, 2907, 616, 3257, 15502, 2223, 646, 1767, 269, 968, 293, 13399, 1650, 267, 1318, 18313, 763, 17181, 267, 799, 5666, 547, 2825, 10168, 267, 1797, 9937, 540, 5215, 540, 6805, 1004, 723, 711, 1044, 2111, 547, 1569, 741, 1216, 543, 7148, 883, 519, 2404, 2804, 3255, 267, 971, 607, 9513, 741, 1216, 2924, 543, 1210, 519, 1216, 585, 1648, 3785, 267, 646, 1767, 269, 5502, 267, 824, 8639, 616, 1210, 17174, 1216, 1510, 9878, 585, 621, 563, 5194, 2601, 519, 11031, 1058, 581, 851, 540, 519, 3375, 1818, 267, 646, 1767, 267, 568, 1317, 540, 741, 1995, 1765, 628, 748, 1343, 540, 1296, 540, 7231, 609, 1216, 20317, 538, 519, 3148, 11652, 741, 2686, 5784, 827, 519, 1604, 4866, 538, 1022, 2565, 7391, 827, 519, 12548, 269, 19227, 519, 2104, 5654, 968, 13133, 1399, 21472, 547, 721, 2223, 966, 580, 559, 5143, 4400, 13474, 5240, 713, 5614, 563, 2108, 2691, 649, 1376, 6158, 827, 2916, 1689, 2223, 646, 1767, 267, 968, 11274, 5193, 569, 11319, 547, 1118, 2386, 602, 649, 2461, 3206, 827, 513, 14820, 540, 875, 649, 3514, 883, 7186, 267, 2864, 982, 7186, 17501, 883, 721, 3034, 314, 11990, 316, 18307, 1188, 1767, 519, 1004, 14045, 519, 16935, 779, 12556, 991, 1344, 827, 519, 4123, 26160, 269, 1656, 1239, 689, 9835, 24258, 1382, 786, 948, 873, 1174, 711, 1152, 875, 547, 8190, 513, 968, 338, 659, 1042, 2230, 892, 538, 1977, 2528, 855, 849, 875, 547, 3136, 13461, 593, 513, 4199, 1898, 547, 519, 4639, 563, 2026, 519, 12548, 16935, 12066, 956, 609, 2916, 1689, 267, 22520, 543, 19394, 13111, 2157, 267, 649, 30603, 835, 540, 519, 2565, 3656, 19325, 538, 519, 4720, 540, 968, 1492, 4521, 540, 519, 5211, 3034, 2026, 18096, 24864, 4464, 609, 922, 6069, 8235, 18120, 749, 26932, 5202, 1107, 606, 3801, 1847, 936, 476, 3199, 267, 1822, 23505, 3952, 829, 1032, 540, 922, 16592, 12548, 5211, 19438, 14305, 547, 2950, 538, 519, 13722, 19438, 1107, 621, 568, 4502, 20460, 1746, 835, 540, 519, 2565, 3656, 19325, 538, 519, 4720, 540, 1018, 649, 723, 2097, 547, 1289, 968, 1492, 4521, 540, 519, 5211, 3034, 763, 6498, 540, 519, 1390, 5757, 779, 24659, 883, 606, 968, 308, 3899, 19438, 892, 543, 968, 299, 1077, 19438, 5608, 609, 5094, 1216, 782, 23148, 547, 1142, 267, 729, 519, 4487, 560, 6593, 602, 4847, 519, 3811, 12032, 540, 519, 12548, 5211, 3281, 716, 538, 476, 4572, 273, 269, 1809, 519, 3877, 540, 875, 602, 9668, 4249, 856, 538, 1216, 2359, 2221, 941, 711, 4396, 1881, 2394, 513, 2370, 1673, 4593, 1380, 539, 772, 2529, 269, 10966, 7040, 15194, 538, 476, 4198, 276, 267, 538, 519, 2038, 1296, 540, 519, 8717, 17489, 3656, 6560, 1634, 607, 968, 288, 13252, 642, 269, 4993, 3034 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]